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2/(x/2). Suppose -5*r + 4*h + 43 = -187, -h + q = 0. Is 35 a factor of r? False Let r be ((-32)/(-20))/(2/5). Suppose -4*a = 3*m + 33, 0 = 3*a - r*a - 3*m - 6. Is 2/(-1)*a/1 a multiple of 16? False Suppose 4*b + 3*k = 8019, -392*b + 3*k - 4011 = -394*b. Is 12 a factor of b? True Suppose -5*g = -4*z + 117, g - 6*g - 3*z = 131. Suppose 22*u - 2*m + 10 = 20*u, u = -3*m + 3. Let f = u - g. Is f a multiple of 22? True Let v = 0 - 6. Suppose -426 = 5*s - 2*w, 2*w + 171 = -2*s + 3*w. Let n = v - s. Is n a multiple of 26? True Let z be 4/(-12) - (-22)/(-6). Let j(n) = 4*n**2 + 5*n + 1. Let m be j(z). Suppose -95 = -5*a + m. Is 26 a factor of a? False Suppose -2*j + 3*t - t = 2, -2*t - 4 = -5*j. Let d(w) = 0*w**3 + 6*w**2 + 0*w**3 + 6*w - 22*w**j + w**3. Does 17 divide d(16)? False Let b(i) = i**2 - 4*i + 3. Let k be b(3). Suppose -648 = -w + 2*w + 3*c, k = -2*w + 4*c - 1316. Is (-4)/10 - w/10 a multiple of 23? False Suppose 4*b - 3*b = 5*g - 2042, b - 814 = -2*g. Is 34 a factor of g? True Let x(k) = -100*k**3 + 10*k**2 + 9*k - 1. Does 10 divide x(-1)? True Let j(h) = 9*h + 28. Is j(4) a multiple of 64? True Let z = -3510 + 5478. Is 93 a factor of z? False Let t(k) = 4*k**2 + 5*k - 153. Is 18 a factor of t(-17)? True Let d be ((-6)/(-4))/(5/60). Let b = 21 - d. Does 25 divide 18/7*7*b? False Let w(p) = -218*p + 116. Does 52 divide w(-4)? True Let c(g) = -6*g + 24. Let n be c(8). Is 2/2 - n - 3 - 1 a multiple of 5? False Let w(t) be the third derivative of -13*t**4/24 + 19*t**3/6 - 6*t**2. Let k be w(-15). Suppose -218 - k = -4*a. Is a a multiple of 18? True Let c be 10*(-4)/8*176/(-10). Let k = -71 + c. Is k even? False Suppose -9*i + 140 = i. Suppose 0 = 5*j - 2*x - 3*x - 185, j = -4*x + 22. Let n = j - i. Is n a multiple of 5? True Let c = 1189 - -603. Does 14 divide c? True Let z = 90 + 211. Suppose y + 4*y = -4*b - 287, 3*b - z = 5*y. Let i = 105 + y. Is i a multiple of 24? False Let m = 12 + -7. Suppose 41 + 47 = 2*r + 4*i, -3*r + m*i = -77. Is r a multiple of 11? False Suppose 6*q - 10*q + 2508 = 0. Suppose 4*o = q + 317. Is 48 a factor of o? False Let w = 5 + -11. Let a(j) = j**2 + j. Let y be a(-6). Let h = w + y. Does 24 divide h? True Is (-3)/(-6) + 22673/158 a multiple of 18? True Is (-1 - -4)/(1*33/1804) a multiple of 4? True Let i(l) = -10*l - 2. Let j(x) = 10*x + 1. Let c(k) = 4*i(k) + 5*j(k). Let r = 160 - 157. Is 7 a factor of c(r)? False Let v(r) = 4*r**3 + 3*r**2 + 17. Is 5 a factor of v(5)? False Suppose 3*c + 25 = 34. Suppose -3*b = b + 3*f - 665, 4*f = -c*b + 490. Is 22 a factor of b? False Suppose 0 = 179*u - 182*u + 414. Is u even? True Suppose -73*c - 756 = -79*c. Is 7 a factor of c? True Let w = -34 + 46. Is w/(-27)*-123 + (-1)/(-3) a multiple of 11? True Suppose -4*w - 4*t - 420 = w, -2*t = 3*w + 254. Let q = -26 - w. Is 11 a factor of q? False Suppose 12*h = 16*h - 3740. Is h a multiple of 10? False Let t = -343 - -525. Is t a multiple of 14? True Suppose -z + 0 + 3 = 0. Does 11 divide ((-51)/z + -1)*(-5)/2? False Let z be (-1)/10 + 38538/180. Let s = z + -114. Does 10 divide s? True Suppose -111*n + 3*x - 1809 = -112*n, -n + 4*x + 1788 = 0. Does 83 divide n? False Let f be 2*(-3)/(-24) - (-13)/(-4). Does 10 divide 5 - f - -1*2? True Suppose 245 = 2*h + 77. Suppose -2 = 2*y - 3*p + 54, -p = 4*y + h. Is ((-10)/(-10))/((-2)/y) a multiple of 11? True Does 14 divide 4/((-12)/3) - (-1054 + 3)? True Suppose 0 = 55*g - 61*g + 1272. Is g a multiple of 3? False Let u = 27 + 7. Let c = u + -9. Suppose 47 + c = 2*f. Is 23 a factor of f? False Let h = 93 - 72. Let s be 2/(-2 - -1) + 4. Suppose f + h = s*f. Is 15 a factor of f? False Let c(d) = -7*d**3 + 7*d**2 - 4*d + 8. Let v(k) = k**3. Let x(o) = -c(o) - 6*v(o). Is 20 a factor of x(7)? True Let r = 16 + -12. Suppose -c - 3*c + 49 = 3*u, r*c - 31 = 3*u. Let f = c - -26. Is f a multiple of 12? True Suppose -5*c + 0*c - 15 = 0. Let k = c - -28. Let q = k + 7. Does 23 divide q? False Let a(v) = -v**2 + 6*v + 22. Let r be a(10). Is 196 - (r/7 + (-12)/(-21)) a multiple of 22? True Let q(k) = k. Let b be q(4). Suppose -3*h - 2*j = -4*h + 231, -b*h + 3*j = -949. Is h a multiple of 28? False Suppose 5*x - 4*b - 8 = 0, -4*x = -3*b + 7*b - 28. Suppose 12 = x*z - 60. Is 9 a factor of z? True Let s be (-2)/5 + 874/10. Suppose -60 = -7*j + s. Does 21 divide j? True Suppose 2 = 2*j - 10. Let y = 26 - j. Is y a multiple of 13? False Is 972 + 4 - -6 - -10 a multiple of 32? True Let g(t) = t**3 - 5*t**2 + 5*t - 3. Let q be g(4). Let m be q/(-2*1/(-6)). Does 14 divide (-1)/(129/(-42) + m)? True Let z(a) = 4*a**2 + 4*a - 3. Let s be z(-7). Let t = s - 19. Is 15 a factor of t? False Let h be 0 - -4 - (-2)/1. Suppose -h = 4*k - 2*k. Does 11 divide (423/(-3))/(-3) + k? True Let r be -2 - (2 + -2 + (-4 - 44)). Let l = r - 6. Is l a multiple of 5? True Suppose 31*k + 1200 = 36*k. Is k a multiple of 12? True Suppose -t + m = -5*t + 5961, 0 = 4*t + 3*m - 5963. Does 10 divide t? True Let f(r) = -132*r + 96. Is f(-2) a multiple of 53? False Suppose -5*c + 3161 = 161. Is c a multiple of 57? False Let k(p) be the second derivative of p**5/20 + p**4/12 + p**3/6 + 30*p**2 - 4*p. Let o be k(0). Suppose o = 3*u + 2*u. Is u a multiple of 9? False Let m = -138 + 143. Let k = m - -9. Is 2 a factor of k? True Let q = 125 + 115. Is 30 a factor of q? True Suppose -91*o = -10*o - 2187. Is o a multiple of 17? False Let l be (6/15)/(7/1890). Let w be (-2)/(-4) + 238/(-4). Let o = w + l. Is o a multiple of 15? False Let b = 72 - 255. Is ((-2)/(-3))/((-2)/b) a multiple of 17? False Let d(k) be the second derivative of k**5/24 - 5*k**4/12 - k**3 + 8*k. Let m(c) be the second derivative of d(c). Is 5 a factor of m(8)? True Suppose 0 = -2*o - 3*o - 5*f + 1660, -2*o + 652 = -4*f. Is o a multiple of 33? True Suppose -7 = h - 5*k, 4*k = -5*h + 9*k + 25. Does 6 divide (632/(-12))/(-2) + h/(-6)? False Let z = -1551 - -2225. Let u = 78 - 81. Does 17 divide z/10 + u/(-5)? True Let y(s) be the first derivative of 49*s**2/2 + 7*s + 2. Does 7 divide y(1)? True Let h(o) = o**2 - 21*o + 27. Suppose 14 - 110 = -4*t. Is 25 a factor of h(t)? False Let u be -81 + -2*(-1)/(-2). Let i(a) = 5*a + 12. Let q be i(-11). Let r = q - u. Is r a multiple of 14? False Let n(h) = 2*h**2 + 2*h - 1. Suppose -8*y + 4*y = -24. Let q = -8 + y. Is n(q) a multiple of 2? False Let r = 60 - 107. Let s = 167 + r. Is 12 a factor of s? True Does 19 divide 1/(-2) + (-2548)/(-8)? False Suppose 0*l = -5*l. Suppose -5*q = l, 2*w + 0*q - q - 58 = 0. Is 6 a factor of w/3 - 2/(-6)? False Suppose -n = -6*n. Suppose n = 3*o - 7*o + 108. Suppose -38 - o = -5*r. Does 3 divide r? False Suppose -19*o = -54*o + 22750. Does 65 divide o? True Suppose -l - 3 + 4 = 0. Let z(c) be the second derivative of 4*c**5/5 - c**3/2 + c**2 + 53*c. Is 15 a factor of z(l)? True Let t = 68 + -65. Suppose j - 104 = 4*l, 0 = t*j + 5*l - l - 376. Does 9 divide j? False Let q = -27 - 18. Let o = 29 - q. Suppose 3*p - p = o. Does 15 divide p? False Let u(l) = -l + 360. Does 18 divide u(0)? True Let c = 1276 + -1133. Is c a multiple of 14? False Suppose -105*b + 47*b = -11020. Is b even? True Let z be 387/6*14/21. Let j = 13 + z. Is j a multiple of 8? True Let b be ((-22)/(-33))/((-2)/33). Does 6 divide b/2*-6 + 0/3? False Let b(c) = c + 204. Is 3 a factor of b(48)? True Let v be 89 + (-7)/(105/(-6))*5. Let r = 134 - v. Is r a multiple of 29? False Suppose -5*v - 120 = 3*v. Suppose 5*d = -5*p + 4*d + 128, 4*d = -p + 37. Let k = v + p. Is k a multiple of 2? True Let z be (-1016)/12 + 1/(-3). Let t = 55 + z. Let s = 21 - t. Is s a multiple of 10? False Let p = -227 - -375. Is p a multiple of 17? False Let b = -15 + 14. Let t(u) = -15*u**2 - u - 2. Let p be t(b). Let j = 27 + p. Is j a multiple of 8? False Let v(i) = -i**3 + 3*i**2 - 4. Let h be v(4). Let g = 1 - h. Is 5 a factor of g? False Let a(b) = 62*b**2 - 2*b. Does 8 divide a(-1)? True Let f(k) = 6*k**2 - 2*k - 4. Let d be f(-3). Suppose 4*s + w - d = -w, -3*s + 3*w = -42. Suppose -4*v + 126 = -s. Is 10 a factor of v? False Let f be (1 - 0)/(3 + -2). Does 14 divide (f*-1)/((-9)/126)? True Let b(i) = 2*i**3 + 3*i - 7. Let j be 8/3 - (-13)/39. Is b(j) a multiple of 28? True Let x = 119 + 247. Is 65 a factor of x? False Let j = -1257 + 1800. Does 48 divi
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of i. 3, 37 Let l be (12/(-10))/(3/50). Let q = 85 + l. What are the prime factors of q? 5, 13 Let y(o) = -12*o - 47. Let r(d) = -12*d - 46. Let x(b) = 3*r(b) - 2*y(b). List the prime factors of x(-14). 2, 31 Let r be ((-6)/(-33) + (-120)/176)*22. What are the prime factors of ((-44)/(-8))/r + 110/4? 3 Let v = 836 - 612. List the prime factors of v. 2, 7 Suppose 2*h - 35 = -3*h. Suppose h = -q + 24. Let z(l) = l**3 - 18*l**2 + 18*l - 11. What are the prime factors of z(q)? 2, 3 Let b(i) = -6*i + 26. Suppose 0 = -3*x + 2*h - 25, -h + 3 = -x - 4. What are the prime factors of b(x)? 2, 23 Suppose -i - 3*i = -8. Suppose -50 = -3*v + i*p, 2*p = -3*v - 37 + 107. Suppose 23*y - v*y = 102. List the prime factors of y. 2, 17 Suppose -3*a = -5*o + 10, a = 2*a. Let d(v) = 0*v**3 - 14 - 7*v**o - v**3 - 3*v + 7*v + 0*v**3. What are the prime factors of d(-8)? 2, 3 Let d = -21 - -17. Let b be (-8 - -22)/(d/(-2)). Suppose 0 = b*t - 218 + 64. List the prime factors of t. 2, 11 Let w(x) = -4*x + 228. What are the prime factors of w(9)? 2, 3 List the prime factors of -1*9 - (76 + -791). 2, 353 Suppose 3*y + 371 = z, -4*z + 155 + 109 = -2*y. List the prime factors of (-3)/(-6)*y*2/(-1). 2, 61 Suppose 5*u + 2*u = 168. Suppose 0 = -c + 22 + u. What are the prime factors of (c - (-1 + 0))*1? 47 Let j(i) = i**3 - 12*i**2 - 12*i - 10. Let b be j(13). What are the prime factors of (704/132)/((-1)/b + 1)? 2 List the prime factors of 45 + -2 + -3 - -5. 3, 5 Let a = 447 - 9. What are the prime factors of a? 2, 3, 73 Let j be (25/(-5))/(0 - 1). Suppose -j*w + 24 = -2*w. Let m = 12 - w. List the prime factors of m. 2 Let n = -10541 + 15332. What are the prime factors of n? 3, 1597 Suppose 5*a - 4426 = -0*a - k, -4*k + 889 = a. What are the prime factors of a? 3, 5, 59 Suppose 14*n - 5*n = 1872. List the prime factors of n. 2, 13 Suppose 4*l - 29 = -5*m, 4 = 4*l - 0. List the prime factors of 18/m*75/6. 3, 5 Suppose 3*l + 99 = p, 0*p + 2*l + 210 = 2*p. Suppose 0 = 6*i - 0*i - p. What are the prime factors of i? 2, 3 Let v = -1121 + 3761. What are the prime factors of v? 2, 3, 5, 11 Let a(p) be the first derivative of -p**3/3 - 21*p**2/2 - 21*p + 12. What are the prime factors of a(-14)? 7, 11 Let g = 3 + 8. Suppose g*o - 6*o - 15 = 0. List the prime factors of o. 3 Let s(o) = 48*o - 55. What are the prime factors of s(9)? 13, 29 Suppose 3248 = -9*z + 13*z + i, 4 = -i. What are the prime factors of z? 3, 271 Suppose 0 = -5*h + 2*n + 2647, 7*n + 2112 = 4*h + 11*n. List the prime factors of h. 23 Let g be (-4)/(-18) + 21/27. Let f be 1 - ((-6)/2)/g. Suppose 78 = 4*h - 3*b, 2*b = -f*h + 6*b + 80. What are the prime factors of h? 2, 3 Suppose -4*r + 5 = -11. Suppose 0 = 3*s - 2*z - 238, 0*s + 5*z - 348 = -r*s. Let j = s + -23. What are the prime factors of j? 59 Suppose -4*j = 12, c - 4*c + 5*j + 795 = 0. Suppose -5*x + c = 4*u - x, -2*u - 3*x = -135. List the prime factors of u. 2, 3, 5 Let s = 0 - -4. Suppose -s*z + 372 = -i, -3*z - 2*i + 279 = -i. What are the prime factors of z? 3, 31 Let p = -727 + 1499. List the prime factors of p. 2, 193 Let b(u) = -7*u - 10. Let a(z) = -z**3 - 7*z**2 + 11*z + 16. Let n be a(-8). What are the prime factors of b(n)? 2, 23 Suppose -a = -4*k - 5*a + 32, -2*k + 4*a = 14. Suppose r + 3*r - 369 = -5*q, -87 = -r - k*q. What are the prime factors of r? 2, 3 What are the prime factors of (1 - 0) + -2319*1/(-3)? 2, 3, 43 Suppose 2576 = -39*x + 55*x. List the prime factors of x. 7, 23 Let n(h) = -h + 12. Let u be (-672)/63 - (-1)/(-3). Let s be n(u). List the prime factors of (4 - 10)/((-2)/s). 3, 23 Let q(r) = 60 + 4*r + 7*r + r**2 - 2*r**2 - 8*r. List the prime factors of q(0). 2, 3, 5 Let a(n) = n**3 - 17*n**2 + 13*n + 7. Let u be a(16). Let o = u - -52. What are the prime factors of o? 11 Let j = -23 - -26. Suppose -147 = -j*h - 0*h. List the prime factors of h. 7 Let j(n) = 8*n**2 + 7*n - 14. Let r be j(-7). Suppose 3*l - r = -5*x, l + 133 = 2*l - 3*x. What are the prime factors of l? 2, 59 Let t be (-4)/(4*-2)*4. Suppose -4*j = -2 - t, 5*i + 4*j - 19 = 0. What are the prime factors of (-6 - -12)/(i - 1)? 3 Let v(n) be the third derivative of -n**6/120 + n**5/60 - n**4/8 - n**3/6 - 5*n**2. Let d = 4 - 6. What are the prime factors of v(d)? 17 Let p be 3 + -79 + 1/((-2)/(-8)). List the prime factors of 16/p + 1/((-18)/(-886)). 7 Let d be 1/(-3)*(-72)/6. Suppose 2*q + 2 = d*p, q + 6 = 5*p - 4. Suppose -2*a - 84 = -6*a + 3*k, -q*a + k + 105 = 0. What are the prime factors of a? 3, 7 Let l(v) = -5*v**3 + 15*v**2 - 8*v + 1. Let d(p) = -14*p**3 + 44*p**2 - 23*p + 3. Let g(n) = 6*d(n) - 17*l(n). List the prime factors of g(-8). 3 Let y be 1 + -3 - (-311 - (0 + 4)). Suppose -5*t = 93 - y. What are the prime factors of t? 2, 11 Let u be (2 - -4) + (5 - 3). Suppose 2*t - 6 = 4*g, -4*t = 3*g - u - 4. What are the prime factors of t? 3 Let f = -152 + 178. Let h = f + 264. List the prime factors of h. 2, 5, 29 Let j(g) = 27*g + 1. Let v be j(1). Suppose -4*o + v = 2*b, -3*o + 12 = -6*o. What are the prime factors of b? 2, 11 Let m(u) be the first derivative of u**2 + 34*u + 3. List the prime factors of m(-11). 2, 3 Suppose 0 = i + 2*u - 2 - 9, -3*u = 2*i - 17. List the prime factors of ((-720)/(-28) - i) + 4/14. 5 Let z(l) = l**3 - 2*l**2 - l + 569. What are the prime factors of z(0)? 569 Let s be ((-90)/7)/(-5) - 3/(-7). Suppose -s*n + 80 = 2*n. What are the prime factors of n? 2 Let q(l) = l**2 - 1. Let f(z) = 2*z**2 + 4. Let b(w) = -f(w) + q(w). Let s be b(0). Let o = s + 13. List the prime factors of o. 2 Suppose -418 = -r + 3*y + 396, -4118 = -5*r + 3*y. What are the prime factors of r? 2, 7, 59 Let w(k) = k**2 - 10*k + 19. Let s be w(8). Suppose -2*b - s*m + 195 = 2*m, 315 = 3*b + 3*m. List the prime factors of b. 2, 5, 11 Let g(r) = r**2 - 10*r + 14. Let q be g(6). Let t be ((-12)/10)/(q/50). Suppose t*x = 55 + 137. List the prime factors of x. 2 Let w(c) = -5*c**3 + 0*c + 5*c**2 + 4*c**3 - 4*c + 2. Let r be w(4). Suppose 3*t + r*g - 30 = 0, 0 = 2*g + 2*g. List the prime factors of t. 2, 5 Let n(q) = 5*q**2 - 7*q. Let o be n(6). Suppose 4*t = -o + 330. Suppose -3*b = -b - t. List the prime factors of b. 2, 3 Suppose -5*m = -0*m + 20. What are the prime factors of (-156)/m + -1 + -1? 37 Suppose -10*d = -9*d - 1. Let u = d - -15. What are the prime factors of u? 2 Suppose 0 = -26*f + 6*f + 59700. List the prime factors of f. 3, 5, 199 Let w(l) = -25*l**2 + 2*l - 2. Let y be w(1). Let d = y - -124. What are the prime factors of d? 3, 11 Let f = -813 + 1681. List the prime factors of f. 2, 7, 31 Let c = 9894 - 5506. What are the prime factors of c? 2, 1097 Let z(r) be the third derivative of r**5/60 + 7*r**4/24 + 7*r**3/6 - 4*r**2. Let k be z(-7). Let b(v) = v**3 - 8*v**2 + 9*v + 4. List the prime factors of b(k). 2, 3 Suppose -21*p + 14*p - 1036 = 0. Let k = 258 + p. List the prime factors of k. 2, 5, 11 Let r(o) = 6*o**3 + 5*o + 9 - 4 - 8*o**3 - 3*o**2. Let m be r(-4). Suppose 5*k - m = 5*n, 0 = k + 3*n + 2*n - 37. List the prime factors of k. 17 List the prime factors of 9 + 0 - (-5160 - 8). 31, 167 Suppose -20*p + 1232 = -13*p. List the prime factors of p. 2, 11 Suppose -4*h = h - 20. Suppose 0 = h*k - 19 - 13. Let s = -3 + k. What are the prime factors of s? 5 Suppose 7*w = -0*w + 49. Let s(z) = 30*z - 26. What are the prime factors of s(w)? 2, 23 Let p be 4/14 - 390/(-7). Let a(y) = y**2 + 4*y - 3. Let f be a(1). List the prime factors of p + f*9/6. 59 Let k be 6/(((-5)/8)/(-5)). Let h = k + -13. What are the prime factors of h? 5, 7 Let a be 6*3/(-6) - -4. Let c = a - -8. Suppose -4*z - 24 = -c*z - v, z - v = 0. What are the prime factors of z? 2 Let t be (-1 - 0)/((-1)/(-9)). Let v be ((-148)/6)/(2/t). Suppose -9 = -5*c + v. What are the prime factors of c? 2, 3 What are the prime factors of 5 + -8 - -8 - -458? 463 Suppose 0 = -5*r + 10*r - 2*x - 1442, 3*r - 859 = -5*x. List the prime factors of r. 2, 3 Let x = -38 + 43. Suppose -x*c + 4*v = -8, 2*c + 5*v - 17 = 2*v. What are the prime factors of c? 2 Let j(p) = 8*p**2 + 2*p - 19. List the prime factors of j(-6). 257 Let i = -193 + 879. List the prime factors of i. 2, 7 Let j = -819 - -1177. What are the prime factors of j? 2, 179 Let t = -47 + 49. Suppose 0 = -t*x +
{ "pile_set_name": "DM Mathematics" }
). 7 Let o(g) be the third derivative of -g**4/12 + g**3/2 + 20*g**2. Suppose -b - 2*b - 2 = 5*y, y - 18 = 4*b. Determine o(y). -1 Let l(f) = -f**3 + 2*f**2 + 2*f - 3. Let j be 2/(-1)*(-3)/2. Let o be l(j). Let c(r) = -r + 4. Let m(q) = -2*q + 5. Let g(u) = o*c(u) + 5*m(u). Determine g(1). -3 Let w(r) = 6*r**2 + r - 1. Let f = -7 - -13. Let b = f - 9. Let v = -2 - b. Calculate w(v). 6 Let j = 15 + -18. Let y(x) = 2*x. Give y(j). -6 Let b(n) be the third derivative of 0*n**3 + 0 - 1/24*n**5 + 0*n + 1/12*n**4 + 1/720*n**6 + n**2. Let g(v) be the second derivative of b(v). Determine g(4). -1 Let o be 4*(-2)/(16/(-12)). Let a(s) = -s + 8. What is a(o)? 2 Let l(n) = 3*n**2 - 5 - 4*n**2 + 0*n**2 + 1 + 8*n. Give l(8). -4 Let y = 7 + -4. Let b(r) be the first derivative of -r**2 + r - 195. What is b(y)? -5 Let u(s) be the first derivative of -s**4/4 + 5*s**3/3 + 7*s - 9. Calculate u(5). 7 Let b(z) = z - 4. Let h be b(-3). Let g(r) = 2*r - 2. Calculate g(h). -16 Let l(a) = -2*a - 2. Suppose -t = -w + 1, 2*w + 30 + 3 = -5*t. Determine l(t). 8 Let v(n) = 0*n**3 - n - 3*n**3 + 2 + 4*n**3 + 0*n. Let b(w) = 1 + 3*w**3 - 6*w**3 + 3*w - 7. Let i(l) = 6*b(l) + 17*v(l). Give i(-2). 4 Let y(o) = o**2 + 7*o - 11. Let m be y(-8). Let n be 1 - (m + (4 - 0)). Let x(z) = z**3 - z**2 - 4. Calculate x(n). -4 Let a(u) be the second derivative of -2*u + 1/2*u**2 + 0 + 7/6*u**3. Give a(-1). -6 Suppose -t + 4*t - 4*g + 93 = 0, 0 = 5*g - 15. Let y = t + 28. Let o(i) = -5*i - 1. Calculate o(y). -6 Let z be (2 + -2 - 1)*2. Let l be z/(-6)*-1*3. Let w(s) = -s - 4. Let q(f) = -4*f - 11. Let j(n) = -3*q(n) + 8*w(n). What is j(l)? -3 Suppose 2*a + 12 = 4*a. Let o(y) = y**3 - 9*y**2 - y + 3. Let t(c) = -c**3 + 10*c**2 + 2*c - 4. Let u(k) = a*o(k) + 5*t(k). Determine u(3). 1 Let a = -2 + -2. Let z(k) = -k**3 - 3*k**2 + k - 4. Determine z(a). 8 Let p = 9 - 1. Let n(j) = -5 - 2 + 5 - 7*j**2 + p*j + 8. Let c(f) = f**2 - f - 1. Let y(r) = -6*c(r) - n(r). Determine y(4). 8 Let m(z) be the second derivative of z**7/840 - z**6/180 - z**5/120 + z**3/2 + 2*z. Let b(f) be the second derivative of m(f). Calculate b(-1). -2 Let w(y) = -10*y**2 - y + 1. Let x(t) = -t**3 + 17*t**2 + 17*t + 19. Let r be x(18). What is w(r)? -10 Suppose 5*n - 4 = -4*i - 12, i - 4*n - 19 = 0. Let o(y) be the second derivative of -y**4/12 + y**3/3 - 3*y**2/2 - y. What is o(i)? -6 Let w(y) = -3*y**2 + 3*y. Let n be 5/(2 + 4/8). What is w(n)? -6 Let n(q) = -26*q**3 + 9*q**2 - 7*q. Let j(c) = -13*c**3 + 4*c**2 - 3*c. Let h(f) = -5*j(f) + 2*n(f). Determine h(1). 12 Let r = -1 + 5. Let j(o) be the first derivative of -2/3*o**3 + 3*o**2 - o + 1. Calculate j(r). -9 Suppose -4*x - 3*m = -0*x - 4, 4*x - 24 = 2*m. Let w(g) = 2*g**3 - x*g**2 - g**3 - g + 0*g - 1 - 6*g. What is w(5)? -11 Let p(g) = -2*g**2 + g. Suppose 2*z + 5*a = -z - 26, 0 = 2*z - 3*a + 11. Let r(x) = x + 9. Let k be r(z). Suppose -m = -0 - k. Calculate p(m). -6 Let o(s) be the second derivative of -3/2*s**2 - 2*s - 1/3*s**3 + 0. Calculate o(-4). 5 Let c(a) = -a**3 + a**2 + 1. Let n(f) = f + 6*f - 8*f**2 - f**3 + 4*f**3 + 16 - 14. Let w(h) = 4*c(h) + n(h). Give w(-5). -4 Let o(n) = n**3 + 5*n**2 + 3*n - 2. Let s be o(-4). Let h(v) = -2*v + v**2 - 5*v - 5*v**s + 2 + 2*v**2. Calculate h(-5). -13 Suppose -2*h = 54 - 6. Let g = 22 + h. Let z(f) = -2*f**2 + f + 1. Give z(g). -9 Let p(a) = -a + 3*a - a + 4*a. What is p(-1)? -5 Let h(i) be the second derivative of 1/12*i**4 - 5/6*i**3 + 3/2*i**2 + 0 - i. Let m = -3 - -6. What is h(m)? -3 Let r = -4 - -8. Let i be (-12 + r)*(-2)/(-4). Let p(d) = d**2 + 6*d + 6. What is p(i)? -2 Suppose 4*t - 2 = 2*x, x + t = -0 - 4. Let k(j) = -j - 6. Let l(m) = -5*m - 25. Let q(w) = 9*k(w) - 2*l(w). Determine q(x). -7 Let b(j) be the second derivative of 2/3*j**3 + 1/2*j**2 + 0 + 1/12*j**4 - 3*j. What is b(-5)? 6 Let r(b) = b - 1. Suppose 3*p = -p. Calculate r(p). -1 Let d(q) = 2*q**2 - 5*q - 4. Let c be d(3). Let a(r) = 2*r - 1. What is a(c)? -3 Let m = 6 - 0. Let v(d) be the third derivative of d**5/60 - 7*d**4/24 + 7*d**3/6 - 23*d**2. What is v(m)? 1 Suppose -6*q - 4*k = -q - 26, 0 = -3*q + 2*k + 20. Let g(b) = -2*b**3 - 6*b**2 + 6*b**2 - 4 + q*b**2 + 3*b**3. Give g(-6). -4 Let x(l) be the second derivative of l**4/2 - l**2 + 6*l. Calculate x(-2). 22 Let c(f) be the third derivative of f**7/1260 - f**6/720 + f**5/15 - f**2. Let k(s) be the third derivative of c(s). Give k(1). 3 Let c(t) = t**2 - t + 1. Let b(l) = 7*l**2 - 5*l + 4. Let g(f) = -b(f) + 6*c(f). Suppose -12 = -u - 3*u. Suppose u*p + 8 = p. Calculate g(p). -10 Let s(m) = 2*m**2 + m - 1. Suppose 6 = 3*u - 0*p + 5*p, 0 = 5*u - p - 10. Calculate s(u). 9 Let w(x) = -x**3 - x**2 + x. Suppose -q - 5*n - 24 = 0, q - 6*q - 3*n = 32. Let f be (-6)/q*2 + -1. Give w(f). -10 Let t(b) be the third derivative of -b**8/2240 + b**7/2520 - b**6/720 + b**5/20 + 4*b**2. Let k(p) be the third derivative of t(p). What is k(1)? -8 Let z = 0 - -1. Let w be 0 + (28/2)/(-2). Let a(q) = 3*q**2 - 3*q + 3. Let i(g) = -2*g**2 + 2*g - 2. Let t(j) = w*i(j) - 5*a(j). Give t(z). -1 Let w(y) = -y**3 + 9*y**2 - 10*y + 10. Let h be w(8). Let c be h/(-4) + 4/8. Let t(i) = 0*i - 3*i**c + 0*i + 2 + i + i**2. Give t(2). -4 Suppose -j - k - 4 = 0, 3*j + 4*k + 16 = 6*j. Let z(n) be the third derivative of -n**5/60 + n**3 - 5*n**2. Determine z(j). 6 Let y(w) be the second derivative of 2*w + 0 + 7/6*w**3 - 1/12*w**4 - 4*w**2. What is y(6)? -2 Let h(q) = 4*q + 49. Let f be h(-12). Let p(y) = -14*y - 1. Give p(f). -15 Let f(r) be the third derivative of -r**4/8 + 2*r**3/3 - 13*r**2. Determine f(3). -5 Let q(m) be the first derivative of -1 + 1/2*m**2 + 2*m + 1/2*m**4 - 4/3*m**3. Determine q(2). 4 Let m be 6/4*(-30)/(-9). Let g(x) = x**2 + x - 6. Let c be g(m). Suppose -5*q = 25, -y = -2*y + 5*q + c. Let v(d) = d - 1. Give v(y). -2 Let d(j) be the second derivative of j**6/60 + j**5/20 + j**2 + 6*j. Let c(o) be the first derivative of d(o). Give c(-2). -4 Let h(r) be the first derivative of r**4/4 + 5*r**3/3 + 5*r**2/2 + 4*r + 3. Let o = -12 - -8. Calculate h(o). 0 Let t(x) = -x + 9. Let c be t(7). Let d(n) = 2*n**c + 1 - 3*n**2 + 6*n + 3. Suppose -3*w = -7*b + 2*b, 19 = 5*w - 2*b. What is d(w)? 9 Suppose -4*z + 10 = 2. Suppose 0 = -f + z*a - 5, f + 2*f + 4*a = 25. Let w(u) = u - 3. Determine w(f). 0 Suppose 3*n + 3 = -6. Let w be (2 - n)*-1*1. Let u(y) = 3*y + 5. Give u(w). -10 Let t = 3 + -7. Let h(i) = 4*i + 5. Let j(s) = s + 1. Let g(r) = h(r) - j(r). Calculate g(t). -8 Suppose -4*y - 20 = 0, 2*y + 17 = -5*v - 23. Let t(n) = n**3 + 6*n**2 - 3. Determine t(v). -3 Let t = 6 - -10. Suppose 0*g - t = -4*g. Let v(f) = 7*f - 2*f + g + f**2 + f. Give v(-4). -4 Let g(r) = -r**3 + 6*r**2 - 6*r + 4. Let t be g(4). Let x be (-1)/(-3)*(-1 - -10). Suppose -4*v = -4*h + 12, x*v + v = -t. Let u(s) = s + 4. Give u(h). 4 Let w(r) = 16 - 4*r**2 + 14*r**2 + 12*r + 2*r**2 + r**3. Let n be w(-11). Let c(x) = -x**2 + 6*x + 4. Calculate c(n). 9 Let y(k) = k**2 + 3*k - 3. Let r = 15 - 13. Suppose -4*n + 5*i = -9, -2*i = r*n + n + 22. Determine y(n). 1 Let m = -2 + 6. Let h(j) = j**3 - 4*j**2 - 3*j. Let v(f) = -1. Let z(p) = h(p) - 5*v(p). Give z(m). -7 Let i(o) = -o - 8. Suppose 2*m + 24 = -m. Let b = m - -2. Calculate i(b). -2 Let j(h) be the second derivative of -h**3/6 + 4*h**2 + 6*h. Calculate j(7). 1 Let a(l) be the first derivative of 1 + l - 1/2*l**2. Let p(q) = -q - 1. Let i be p(4). Give a(i). 6 Let a(t) be the third derivative of t**4/24 - t**3/3 + 21*t**2. What is a(-5)? -7 Suppose 0 = u + 4 - 2, 6 = 5*r + 2*u. Let q(v) = v**3 + v**r - 29*v + 32*v + v**2. Give q(-2). -6 Suppose 8*m - 27 = -11. Suppose 2*x = -x + 9. Let u(z) = -2 - 2*z**3 + z**3 - z + x*z**2 + 0*z**3. Calculate u(m). 0 Let b(w) = 3*w + 15. Let c(x) = x + 7. Let g(h) = -6*b(h) + 13*c(h). Determine g(-2). 11 Let x(q) be the first derivative of q**4/4 - 5*q**3/3 - 4*q**2 + 4*q - 6. Determine x(6). -8 Let u(s) = -3*s - 18. Let y(g) = -g - 6. Let w(h) = 6*u(h) - 17*y(h). Let c be w(-7). Let b(l) be the first derivative of -l**4/4 - l**3/3 + 1. Calculate b(c). -2 Let p(a) = 7*a**3 - 13*a - 7. Let j(z) = 6*z**3 + z**2 - 12*z - 7. Let w(u) = -6*j(u) + 5*p(u). Give w(-7). 7 Suppose -x = 2*g + 2*x - 2, 0 = 2*g + x + 2. Let b(o) = 4*o**2 + 3*o + 3. What is b(g)?
{ "pile_set_name": "DM Mathematics" }
/(-6)*2*9/132 -2/11 (3/3)/(43/(-172)) -4 What is (-3)/1*-1*1? 3 Evaluate (-3)/((60/(-16))/5). 4 Calculate ((-14)/(-35))/(3/3*2). 1/5 Evaluate (-1)/(((-112)/21)/(-8)). -3/2 Evaluate ((-8)/(-40))/(-1*1). -1/5 Evaluate ((-6)/(-1))/(2/(-4)*-4). 3 Calculate (1*5/(-1))/(-1). 5 (385/10)/(-11)*24/(-14) 6 What is the value of (-238)/119*(-2)/(-12)? -1/3 1/((-5)/(-4))*(-2)/(-4) 2/5 What is 6/((315/(-6))/(-5))? 4/7 What is 12/14*(-28)/(-16)? 3/2 Calculate 3*2*(-1)/3. -2 (((-48)/54)/4)/((-8)/6) 1/6 Evaluate 2*(-5)/30*3. -1 Calculate ((-1)/((-2)/(-4)))/((-28)/56). 4 Calculate 4/(40/(-10))*0/1. 0 What is the value of (3*4/(-6))/11? -2/11 What is the value of ((150/(-8))/(-15))/((-1)/(-4))? 5 What is the value of 1*1*-3*1/3? -1 Evaluate (3/2)/((-228)/304). -2 Evaluate ((-1)/34)/(2/(-24)*3). 2/17 Evaluate (6/120*5)/((-40)/32). -1/5 (-15)/21*(-14)/(-35)*2 -4/7 Calculate (5/((-100)/15))/(-3*1). 1/4 What is (-3)/((-9)/30*(-285)/3)? -2/19 What is the value of ((-3)/(-7))/((-39)/(-182))? 2 ((-721)/206)/(7/(-12)) 6 What is the value of (10/135)/(6/18)? 2/9 15*((-70)/(-21))/(-10) -5 What is the value of 2*4*((-182)/13)/(-112)? 1 (1/(-3))/(7/(-14)) 2/3 Calculate (-7)/(63/(-3))*3/4. 1/4 What is 4*(-6)/(-312)*2? 2/13 What is 12/(-408)*-17*-2*8? -8 (-1)/(-4)*24*26/(-195) -4/5 What is 24/(-24)*1/1? -1 What is 1890/(-180)*12/(-14)? 9 What is the value of (-30)/300*(-2)/(-3)*-15? 1 What is the value of (-4)/27*(-75)/(-50)? -2/9 What is the value of (24/96)/(2/(-2))? -1/4 Evaluate (-1)/(-1)*(-24)/180. -2/15 Evaluate 4/(-126)*-6*-3. -4/7 What is the value of (10/50)/((-6)/(-5))? 1/6 What is 54/(-4)*(-6)/(-72)*8? -9 ((-2)/(-9))/(2/(-27)*-6) 1/2 What is 2*(-15)/10*14/(-6)? 7 Evaluate -1*(-10)/(-4)*(-54)/(-45). -3 224/28*(-1)/4 -2 What is 14/(-7)*(-15)/(-30)? -1 Evaluate (-6)/12*-8*6/204. 2/17 5/(-15)*-2*3/(-6) -1/3 9/((-882)/35)*(-8)/10 2/7 Evaluate (1/((-4)/(-12)))/((-1)/(-1)). 3 What is the value of ((-2)/(-10))/((-776)/485)? -1/8 Evaluate ((-1)/10*2)/(52/390). -3/2 What is (-9*(-8)/144)/((-5)/(-6))? 3/5 What is (-11)/(((-84)/(-14))/6)? -11 (1/(-39))/(((-1659)/(-126))/79) -2/13 What is the value of (-4)/6*3*(-1)/13? 2/13 (-216)/(-90)*(-15)/(-4) 9 What is ((-14)/(-5))/((-3)/(135/(-18)))? 7 Calculate 126/84*4/(-6)*-7. 7 Calculate (-35)/(-14)*18/(-15). -3 What is (2/10)/(((-72)/(-10))/9)? 1/4 Evaluate (24/(-40))/(((-9)/(-6))/1). -2/5 What is the value of (-45)/(-18)*((-72)/(-15))/3? 4 Evaluate ((-8)/16)/(6/84). -7 What is (-9)/((-27)/6)*(-21)/6? -7 20/30*(-6)/8*2 -1 (-30)/(-12)*(-52)/195 -2/3 What is -5*((-12)/(-3))/(-20)? 1 (((-12)/(-9))/((-2)/(-9)))/3 2 What is (-30)/(-5)*(-16)/48? -2 Evaluate ((99/11)/(-54))/(1/(-8)). 4/3 (-1)/(4/(40/5)) -2 Evaluate ((-65)/(-130))/(-1*(-10)/(-4)). -1/5 8*-1*5/8 -5 What is the value of (8/(-12))/((-238)/51)? 1/7 ((-132)/154)/(3/9*3) -6/7 Calculate (4/40)/(-4*(-6)/(-60)). -1/4 What is (-63)/(-105)*(-30)/(-2)? 9 Evaluate 4/5*6/(-12). -2/5 6/14*(-2)/24*-4 1/7 Evaluate ((-20)/18)/(9/((-81)/6)). 5/3 What is 6/(-4)*(-24)/18? 2 What is ((-84)/90)/(-14)*-3? -1/5 What is the value of (-1)/((-1)/(-24)*-3*-2)? -4 What is 0/(((-210)/(-10))/7)? 0 (-141)/(-470)*15/(-12) -3/8 ((-1)/(-36)*6)/(-1) -1/6 What is the value of (-16)/24*7/35? -2/15 What is ((-12)/(-8))/((-5)/(-50)*3)? 5 ((-4)/10)/(5/(-5)*2) 1/5 Calculate (152/(-57))/((-5)/((-60)/8)). -4 What is the value of ((-66)/693)/(6/7)? -1/9 Calculate -1*-5*15/(-25). -3 Calculate (182/(-26))/(7/(-2)). 2 ((-6)/(-30))/((-1)/5) -1 (-8)/2*5/(300/(-6)) 2/5 Evaluate ((-1)/((-18)/9)*-2)/(-1). 1 20/(-40)*(-8)/78*-3 -2/13 4/(-30)*45/9 -2/3 (-18)/(-12)*42/(-9) -7 Evaluate ((-8)/28)/(2*(-1)/8). 8/7 Evaluate -2*(-3)/(-4)*(-20)/(-15). -2 Evaluate (1*16/(-4))/((-9)/18). 8 ((-12)/(-72))/((-3)/9) -1/2 (-5)/70*-2*2 2/7 Calculate 1*(48/(-160))/(3/(-2)). 1/5 What is (((-3)/(-2))/(63/168))/10? 2/5 Evaluate ((-1)/(-2))/((-3)/12). -2 Calculate (4/(-12))/((3/36)/1). -4 Evaluate 4/(-8)*-5*(-6)/30. -1/2 (-6)/18*0/(-6) 0 ((6/(-3))/(2/(-4)))/2 2 Evaluate (-1)/2*8/(-2). 2 Evaluate 4/(-8)*-6*3/9. 1 Evaluate ((-27)/72)/(1*4/16). -3/2 -1*(-12)/(-3)*-1 4 Calculate ((4/(-2))/2)/((-33)/165). 5 Evaluate 10/((-240)/3)*2. -1/4 Calculate ((-72)/60)/((-2)/10). 6 Calculate 9/54*-7*-6. 7 What is 12/8*(-8)/30? -2/5 Calculate (-8)/(-12)*279/434. 3/7 ((-11)/(165/(-10)))/((-4)/24) -4 Calculate ((-24)/16)/(-3*4/(-24)). -3 1/(-6)*(-15)/20*10 5/4 What is the value of (10*10/200)/((-2)/3)? -3/4 Calculate 36/(-3)*(-5)/15. 4 What is 6/(-5)*(-200)/120? 2 What is (48/66)/((-20)/110)? -4 What is the value of (49/28)/(((-9)/12)/(-3))? 7 What is 0/(-3*(-24)/18)? 0 Calculate (-29)/(-29)*0/(1/1). 0 What is the value of 20/(-12)*(-2)/(15*2)? 1/9 What is the value of 5/((-70)/(-6))*1? 3/7 What is the value of 15/(-12)*2*-2? 5 Calculate ((-8)/(-48))/((-1)/((-18)/4)). 3/4 Calculate -2*7/14*(-5)/1. 5 (-1*4)/(70/(-15)*3) 2/7 What is the value of (-14)/(-24)*(-111)/(-518)? 1/8 Calculate (2/20*-2)/(9/(-27)). 3/5 What is the value of ((-10)/8)/1*324/(-81)? 5 What is the value of ((-2)/(-4))/((-7)/56)? -4 18/162*(-6)/(-1) 2/3 Evaluate 70/7*(-2)/(-24). 5/6 1/(-6)*120/(-110) 2/11 Calculate ((119/14)/(-17))/(1/2). -1 What is the value of ((576/(-84))/12)/((-4)/(-2))? -2/7 48/36*((-21)/(-2))/(-7) -2 What is -2*4/(-48)*3*6? 3 Evaluate (-6*1/2)/(-3). 1 Calculate (2/(-22))/(178/(-712)). 4/11 Calculate (-3)/((-4)/(8/2)). 3 4/(-1)*111/148 -3 What is (1*-1)/(((-25)/(-5))/(-5))? 1 Evaluate (-6)/(12/16*4/2). -4 Evaluate (-30)/(-2)*(-132)/330. -6 What is (0*(-3)/(-9))/(2*-1)? 0 Evaluate (-1375)/110*4/(-10). 5 What is 1/(-50)*-5*4/1? 2/5 What is the value of 55/(-11)*4/10? -2 Calculate (0/(28/7))/1. 0 Evaluate (3/3*-1)/(-2). 1/2 What is ((-18)/(-3)*-1)/(6/(-4))? 4 What is the value of (0/1)/(-4*5/(-20))? 0 What is the value of (-3)/2*20/45*-3? 2 What is 2/((48/20)/(-6))? -5 4*3/(-6)*6/4 -3 Calculate ((-2)/(-42)*3)/(-1). -1/7 (-2)/8*2*-10 5 What is the value of (((-2)/3)/(-1))/(2/12)? 4 Evaluate 32/(-48)*2/34*-3. 2/17 Calculate (-1)/(-2)*(-20)/5. -2 Calculate (1/3)/((-28)/(-24)). 2/7 Evaluate (-90)/60*(-8)/(-18). -2/3 Calculate ((-60)/(-8))/((-63)/84). -10 Calculate (((-4)/2)/(-6))/((-20)/(-24)). 2/5 ((-1)/5*-1)/((-117)/(-65)) 1/9 What is the value of ((-9)/((-135)/(-24)))/((-6)/15)? 4 What is the value of ((-25)/(-225))/(2/18*-3)? -1/3 What is 8/20*10/6? 2/3 Calculate 2/(-8)*12*1. -3 5/(-3)*(-5)/5 5/3 What is ((-390)/(-520))/(9/(-2))? -1/6 2/((-6)/3*7) -1/7 Calculate 3*4/4*(-1)/1. -3 (27/((-135)/2))/((-9)/(-5)) -2/9 What is the value of ((-16)/52)/4*(-6)/3? 2/13 What is the value of ((-192)/(-120))/(2/5)? 4 Evaluate (-7)/2*(-20)/(-35). -2 Evaluate 44/33*(-9)/(-15). 4/5 What is the value of 45/(-39)*12/(-30)? 6/13 Calculate 0/6*2/4. 0 Calculate ((-84)/98)/((-2)/(-21)*-3). 3 What is the value of (6/(-3*1))/((-300)/30)? 1/5 What is 2/4*((-100)/(-1))/(-10)? -5 Calculate (-4)/(-2)*6/12. 1 (-36)/2*(-20)/(400/10) 9 Calculate (6/(-108))/((-3)/12). 2/9 Calculate -21*(80/(-15))/16. 7 Evaluate 6*4/(-540)*3. -2/15 2*(10/(-44))/(-5) 1/11 ((-4)/10)/(1*(-4)/(-20)) -2 (24/(-21))/(3/(-21)) 8 Evaluate ((4/25)/(-2))/(222/370). -2/15 Calculate (-2)/8*(-3)/6*-2. -1/4 Calculate ((-1)/4)/(-6*14/112). 1/3 What is (-3*(-12)/(-162))/(-2)? 1/9 (17/((-34)/(-24)))/(-2) -6 What is the value of (-3)/((26/65)/(16/60))? -2 What is the value of ((-20)/(-25))/((-3)/15)? -4 What is the value of 12/240*16/(-6)? -2/15 Evaluate (9/12)/(4/32). 6 Calculate (1/1*-2)/(13/(-26)). 4 Calculate (-10)/(-8)*(-20)/45*-9. 5 Evaluate (0/(-1))/(26/26). 0 Evaluate ((-4)/(-5))/(-16*(-12)/(-480)). -2 Calculate 2*3*10/(-15). -4 Calculate (5/((-30)/27))/((-135)/180). 6 4/16*-3*(-3)/18 1/8 Calculate (12/14)/((-69)/(-322)). 4 Calculate 3/(12*(-10)/(-40)). 1 Calculate (2/(-5))/(7/7). -2/5 Evaluate ((-1)/(-12))/(38/(-114)). -1/4 What is 9*((-6)/(-75))/((-18)/(-15))? 3/5 -1*1*(-44)/(-44) -1 What is the value of 8/4*5/240*-4? -1/6 What is the value of ((-1)/9)/(1/6)? -2/3 What is 1/(12/16)*6/(-52)? -2/13 Evaluate 1*-1*(-26)/78. 1/3 Evaluate (-16)/(-10)*(-385)/(-308). 2 Evaluate (6/2)/(-6)*0/(-7). 0 Evaluate (8/42*3)/((-2)/(-2)). 4/7 Evaluate ((-3)/(-4)*-4)/((-9)/15). 5 Evaluate -5*-3*3/27*-3. -5 (1*2)/(((-90)/5)/(-6)) 2/3 What is 2/(63/(35/5))*-9? -2 Calculate ((-3)/(-5))/((2/2)/5). 3 What is the value of (18/(-2))/(189/(-42))? 2 4/14*-3*(-35)/(-
{ "pile_set_name": "DM Mathematics" }
7 divide v? False Let u be (-22)/(-187) - (-925)/85. Does 27 divide (u/(-33))/(3/9)*-262? False Let a = -4883 + 6676. Is 45 a factor of a? False Let b be (-2)/((-4)/12*3). Suppose r + r - b = 0. Is 3 a factor of 2/(r - (-5)/(-15))? True Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5/20*o*15? False Let i = -978 + 2038. Suppose a - 41 = -5*n + 1735, -3*n = 2*a - i. Is 53 a factor of n? False Suppose 13*w - 48 = 381. Suppose -4*n + 47 + 17 = -o, -n - 4*o + w = 0. Let b = n - -3. Is b a multiple of 4? True Let b = 1208 - -618. Does 16 divide b? False Let i(z) be the first derivative of z**4/4 + 10*z**3/3 - 4*z**2 - 10*z - 4. Let j = -222 - -212. Is 14 a factor of i(j)? True Suppose -3*r - 12 = d, 5*d + 10 = 352*r - 357*r. Suppose 0 = -5*c + 5*m + 396 + 234, -630 = -5*c + 2*m. Is 2 a factor of 20/d + -7*(-6)/c? False Let f be (-403 + 9)*-2*(-3)/(-6). Let n = f - 212. Is n a multiple of 14? True Let l = 17590 - 9791. Does 91 divide l? False Let y = -1398 - -4385. Is 29 a factor of y? True Suppose q + 2*u = 3091 + 1350, 4*u + 22219 = 5*q. Is q a multiple of 37? False Let v(g) = 2*g + 1. Let u be v(2). Suppose -j = 5*z - 10, u*z = z + 3*j + 27. Suppose -5*n + 350 = z*q, -2*q + 3*q = 4*n + 145. Is q a multiple of 19? False Let p(n) = -3*n**3 - 11*n**2 + 6. Let q be p(-3). Let y(c) = c**3 + 13*c**2 + 11*c - 11. Let x be y(q). Is 26 a factor of 8 - (x - (-12)/4) - -126? True Let i = 180 + -173. Suppose -2776 + 235 = -i*d. Is 11 a factor of d? True Let o(v) = 10*v**2 + 4*v - 2. Let i be -6*(-4)/36*-18. Let q = -14 - i. Is 6 a factor of o(q)? True Is (17 - 16)/((-3)/(-31413)) a multiple of 72? False Is 10 - (-58284)/45 - (-12)/15 a multiple of 12? False Let g = 261 - 258. Suppose 4*m = p - 9, p + g*p + 5*m - 99 = 0. Is p a multiple of 3? True Suppose -8*p + 9873 = -17455. Is 7 a factor of p? True Suppose -6*b = 3 + 3. Let t be -10*(3 + (b - -1 - 4)). Suppose -6*q = -t*q + 372. Is 31 a factor of q? True Let s(g) = 32*g + 15*g - 1 - 35*g + 4*g**2. Suppose -t + 4*z = -11 - 4, 0 = 4*t - z + 15. Is 13 a factor of s(t)? True Let s be ((-6)/4 - -1)*(-11 - -1). Suppose 2992 = s*g + 2*w, 16 + 0 = -4*w. Is g a multiple of 20? True Let w be 72/198 - (-51)/11. Suppose -5*j + 8*j - 1197 = -w*u, -1 = j. Is 60 a factor of u? True Let a be (-4)/(-6)*(29 + 1). Suppose 0 = -a*q + 19*q - 6. Is 35 a factor of ((-34)/q)/(2/72)? False Suppose 2*v + 43*x - 4482 = 42*x, 2259 = v + 5*x. Let l = -1327 + v. Is 16 a factor of l? True Suppose -4*x - 2*j - 28 = 0, -9*j + 5*j - 21 = x. Does 10 divide 6/42*2*x*-21? True Let z = 25 + -22. Suppose 0 = -3*y + z*g - 294, -y + 2*g + 110 = -2*y. Is (4 + 48/(-9))*y/4 a multiple of 5? False Let h be (1 - -2 - 4)*(-4 - 0). Let s(b) = 130*b - 44. Is 9 a factor of s(h)? False Let m(d) be the third derivative of d**4 - d**3/2 - 9*d**2 + 12*d. Suppose 3*u + u = 12. Is 23 a factor of m(u)? True Suppose 66785 + 35138 = 4*u - 5*i, -25480 = -u + 2*i. Is 28 a factor of u? False Suppose -73 + 107 = 2*s. Let m = 23 - s. Is 3 a factor of (-5)/((-10)/m) - -28? False Let a be 7 + (-7 - -7) + 1*-2. Suppose -a*r + 318 = -4*v, -5*r - 2*v + 72 = -4*r. Does 9 divide (19/2 - 8) + r/4? True Let o = 33 + -31. Suppose 3*t - 6*f + 123 = -o*f, -f = -2*t - 82. Let b = t - -53. Is b a multiple of 3? True Let s = -95 + 98. Suppose s*h - 335 = -5*j, -9*h + 5*j + 625 = -4*h. Is h a multiple of 16? False Let o(a) = 271*a + 2101. Is 15 a factor of o(-4)? False Suppose 6*s + 3*j - 1763 = s, -5*s = 5*j - 1755. Suppose -5*g - s = -90. Let w = g - -117. Is 32 a factor of w? True Let n(v) = -v**2 + 25*v - 6. Suppose 2*q = i + 2*i - 49, -2*q = 4*i - 42. Is 6 a factor of n(i)? True Let s(z) = -2*z + 18. Let o be s(7). Suppose -o*g + 3*u = -25, 2*g + 0*u = -5*u - 7. Is 15 a factor of (g + 320/25)*(-25)/(-2)? True Suppose 8*w - 38125 - 1001 = 2*w. Is w a multiple of 3? False Let i(b) = b**3 - 6*b**2 + 7*b - 14. Let m be i(6). Let w(k) = -9*k**2 + k - 1. Let g be w(1). Let t = g + m. Is 13 a factor of t? False Let j = -61 - -64. Suppose -u - 5*r + 66 = u, 4*u + j*r = 104. Is 7 a factor of u? False Suppose 4*w = 5*f - 1416, -2*w = -15*f + 20*f - 1392. Does 5 divide f? True Let w(t) = -t**2 + 7*t + 7. Let h be w(6). Suppose -9 = 16*b - 19*b. Suppose -4*i = -12, -32 = -b*y - i + h. Is 14 a factor of y? True Is (-14 + 97)/(-7*36/64 - -4) a multiple of 37? False Suppose 2*t = 3*a + 1110, 2*t - 4*a = 611 + 497. Is 18 a factor of t? True Is -2*(1 - 3) - 5944/(-4) a multiple of 14? False Let b be 1012/10 + 56/70. Suppose b*s - 104*s = -34. Does 10 divide s? False Is 26 a factor of ((-22)/3 + 8)/(22/202125)? False Let j be (-5)/2 - (-438)/(-12). Is (-14948)/(-12) + (-13)/j a multiple of 45? False Let r(a) = -65*a - 230. Let h(d) = -2*d - 107. Let j be h(-47). Does 12 divide r(j)? False Let h(b) = 2*b**2 - 3*b + 3. Suppose -5*c + 3*c = 6. Does 10 divide h(c)? True Suppose -84*p = 59337 - 385761. Does 58 divide p? True Suppose -10*p + 17*p = 8*p + 5*p. Let t(n) = -n**2 - n. Let f(d) = 2*d**2 + 4*d - 47. Let u(k) = -f(k) - 4*t(k). Does 17 divide u(p)? False Let k be 15/(45/(-2)) - (-16)/6. Suppose -5*p + k = -q - 2, p - 5 = 0. Is 2 a factor of q? False Let r be (8/(-10) + 4 + -4)*-30. Let o = -28 + r. Let p = 1 - o. Does 2 divide p? False Suppose 5*j - 13 = 3*z - 0, 1 = -z + j. Let f(v) = -8*v + z*v - v**3 + 14*v - v + 11 - 8*v**2. Is 13 a factor of f(-10)? False Let g = 471 + 7836. Let c = g - 5711. Suppose 0 = 4*f + 7*f - c. Is f a multiple of 21? False Is 6 a factor of 435/(-25)*(-220)/11? True Let m(l) = -l**2 - 12*l + 32. Let c be 83/3 - (-1)/(-6)*4. Suppose -3*n + c = 66. Is m(n) a multiple of 2? False Suppose 140 = 9*u - 5*u. Suppose -9 = -d - u. Let w = d + 116. Is w a multiple of 45? True Let j = -525 + 528. Does 33 divide (j/(-5))/(56/(-10920))? False Is 40 a factor of (-2 - 12336/(-7)) + 158/(-553)? True Let q = 1219 + -863. Suppose -3*m - 182 = -j - 2*m, -2*m = 2*j - q. Is 27 a factor of j? False Let c(y) = y**2 - 4*y - 2. Let d be c(4). Let l(q) = -741*q**2 + 3 - 743*q**2 - 1 - q**3 + 1483*q**2. Is l(d) a multiple of 6? True Let f be 0 + 3 + 0 + 2. Suppose 0 = -h - f*z + 8, 2*h - 4*z - 51 = -7*z. Suppose 2*b + 0*b - 5*k = h, 0 = 3*b + 3*k - 60. Does 17 divide b? False Let m(b) be the third derivative of -29*b**4/8 + 3*b**3 + b**2 - 2. Is 33 a factor of m(-5)? False Let v(a) = 4*a**2 - 12*a - 2. Let y(t) = 2*t + 14. Let g be y(-10). Is 27 a factor of v(g)? False Let d = -40 + 172. Suppose -2*r + 4*o = 94, -3*r - 4*o + o - d = 0. Let h = 15 - r. Does 10 divide h? True Let u be (4/(-6))/(15/((-2025)/30)). Suppose -u*f - f = -3200. Is 5 a factor of f? True Let f = 73 - 61. Is -1 - f/(-2) - -355 a multiple of 30? True Let d be (-2)/4 - (-3 + (-2964)/8). Suppose 14*w - d = 131. Does 12 divide w? True Does 69 divide (-1382670)/(-378) + (-30)/35? True Let x(l) = 21*l + 48. Let u be x(-2). Is 88 a factor of 1074 + 90/u + -7? False Let u = 358 - 104. Let b = 282 - u. Is 18 a factor of b? False Does 7 divide (2/(-4))/(40/(-30)) - (-2114383)/472? True Let d(s) = -4*s - 21. Let g be d(-6). Suppose -m - g*p = -436, -5*m + p + 872 = -3*m. Does 8 divide m? False Let i = 1520 + -1011. Let f be 7 + -9 + 1/(3/1998). Suppose 0 = -5*p + 3*z + f, 4*p = 2*z - 7*z + i. Is 32 a factor of p? False Suppose 3*b = 5*b + 12. Let i be (2 - (-44)/b)/(12/108). Is (i/(-5))/(19/190) a multiple of 12? True Suppose 7*o - 409 = 893. Let k = o + -163. Is 11 a factor of k? False Let k(q) = -5*q**3 - q**2 + 36*q - 11. Is 19 a factor of k(-6)? True Let i(y) = 157*y + 9. Let l be i(5). Suppose 9*h - l = 1942. Is 18 a factor of h? False Let h = 439 - 441. Let s(z) = -99*z + 49. Is 13 a factor of s(h)? True Suppose 4*t + 6 - 2 = 0, -t = -i + 3. Does 29 divide (i - (-2 - 2)) + 23? True Let u(i) = 3*i**2 + 16*i + 18. Let z be u(9). Let r = 863 - z. Is r a multiple of 20? False Is (-1)/(5 - (-216)/(-42)) - -975 a multiple of 10? False Let h = -3496 + 8835. Is 92 a factor of h? False Is 159 a factor of (102*1/(-2))/(13/(-1183))? False Suppose 30 = -5*q - 5*a, -q + 4*q - a + 6 = 0. Let l(r) = 24*r**2 + 11*r + 39. Does 7 divide l(q)? False Suppose -66*x + 6*x - 62*x + 1001742 = 0. Is x a multiple of 51? True Let p = 536 - 536. Suppose -2*s + 3*y + 1764 + 1005 = p, -y = -s + 1387. Is 12 a factor of s? True Suppose 5*o + 4*
{ "pile_set_name": "DM Mathematics" }
+ -306. What is the closest to 0.1 in 5, w, 0.2? 0.2 Let x = 0.568 + 0.242. Let r = x + -1.11. What is the closest to -2 in 13, r, -4? r Let s = 86 + -85.652. Let n = -0.1172 + 0.0692. Let g = n + s. What is the nearest to 1 in -2, -0.3, g? g Let m = -11.7 - -14.7. Let g = 24.9 - 24.6. Let j be (-6)/9 + (1 - 0). Which is the closest to -2/3? (a) j (b) g (c) m b Let t = 964 + -963.8. Let v = -5 - -7. Let y = -1.5 - -1.4. Which is the nearest to v? (a) -2/7 (b) t (c) y b Let s = -16490 - -16461. Which is the closest to -0.1? (a) -4 (b) s (c) -6 (d) 1/5 d Let i(o) = -2*o**2 - 7*o - 14. Let j be i(-5). Let y = j - -29. Let h = 603/11 + -55. What is the nearest to y in -0.1, -3, h? -0.1 Let t(u) = -u**3 - 22*u**2 + 76*u + 27. Let k be t(-25). Let q be k/(-7)*11/(-11). Which is the closest to 0.1? (a) q (b) -5 (c) 0 (d) -2/7 c Let o = -0.0517 + 0.0917. Which is the nearest to -1? (a) 0.2 (b) o (c) -4/7 (d) -8 c Let i be (-30)/675*(10 + (-232)/16). Let k = -24/5 - -91/20. What is the closest to k in i, -3, 0? 0 Let w = -0.2 + 0.1. Let k = -348 - -375.8. Let j = k - 28.8. What is the nearest to w in 2/13, -5, j? 2/13 Let l = -63811 + 63811. Suppose -2 = k - 1. Which is the closest to -1? (a) k (b) l (c) 0.01 a Let p = -0.2 + -32.6. Let m = 32.4 + p. What is the nearest to 2 in 18, m, 3/5, -2? 3/5 Suppose 4*f + 1 = -5*o, -6*f + 3*f = 4*o. Suppose 0 = -m + 5*w, m - 9 = -7*w + o*w. Suppose 0 = -1338*u + 1334*u - 20. What is the nearest to 2/3 in 0.5, u, m? 0.5 Let r = -1.6261 - 59.8739. What is the nearest to r in 0, -0.2, 0.1? -0.2 Let x = -38 + 56. Let w = 15 - x. Let m = -12.2 - -12. Which is the nearest to 0.1? (a) w (b) 0.08 (c) m b Let f = -5 - -2. Let l = -154.725 - 0.275. Let t = l + 158. What is the nearest to 1 in 1, t, f? 1 Let w(y) = y**2 + 42*y + 80. Let j be w(-31). Let z = j + 256. Which is the nearest to -6? (a) -2 (b) 0.4 (c) z c Let l = 3080.6 + -3081. Which is the nearest to -2/5? (a) 5 (b) l (c) -2/37 (d) 2/13 b Let z = -2001 + 773. Let d = 1239 + z. Let l = -3.5 + -0.5. What is the closest to -1/2 in d, 2/5, l? 2/5 Let m = 18 - 13. Let a = 2.39311 + -2.56311. What is the nearest to a in 3, m, -9? 3 Let m = -2156 - -2159. What is the closest to m in -0.2, -0.07, -1? -0.07 Let h = -1.7475 + 2.7475. Which is the closest to h? (a) -2/5 (b) -5 (c) 5 (d) -1/4 d Let j = 291.2 - 302.2. What is the closest to 1 in j, 2, 6? 2 Let x = 249649 + -249652. Let w = -0.76 + 0.7. Which is the nearest to 2/7? (a) w (b) -1 (c) x a Let h = -0.041 + 34.641. Let k = h + -34.3. Let l = -2/885 - -2683/12390. Which is the nearest to 2/3? (a) 4 (b) k (c) l b Let l = -66.9 + 66.8. Let w = -16/5 + 53/15. What is the closest to l in -3, -2, w? w Let i = 0.2 - -16.8. Let g = -2.263798 - -0.263798. Which is the nearest to i? (a) -0.2 (b) -1/2 (c) g (d) 2/11 d Let y(d) be the third derivative of -d**4/4 - 15*d**3/2 - 129*d**2. Let h be y(-8). Let n = -8/13 - -50/39. Which is the nearest to h? (a) n (b) -3 (c) 5 c Let p = 22.35 + -22.95. Let k = -3.84 + -0.16. What is the closest to -0.1 in p, 2/11, k? 2/11 Let m = 69200.7 + -69201. Let f = 3/4 - 5/4. What is the closest to f in 0.19, -5, m? m Let f be 8/2 + (6 + -4)*-2. Let i = -15/454 + -503/12258. Which is the closest to i? (a) f (b) 4 (c) 3 (d) 1 a Let g = -283 - 269. Let i = 552.4 + g. What is the closest to i in -0.5, 5, 7/4? -0.5 Let i = -0.25 + 4.25. Let j = 26 - i. Let s = j - 21.9. What is the closest to s in 0.3, 2/7, -2? 2/7 Let n = -65.8 - -67.8. Suppose z = -4*z - 50. Let r = 21/2 + z. What is the nearest to 0 in r, 6, n? r Let g = 25570 - 281888/11. Let v = 56 + g. Which is the closest to v? (a) 3/2 (b) -1/4 (c) 4 b Let u = 17 - 12. Let l = 2500 - 2501.986. Let z = 0.986 + l. Which is the closest to -2? (a) u (b) z (c) 4 b Let m = 41.57 + -41.77. Which is the closest to 0.1? (a) -2/9 (b) -5 (c) 1/3 (d) m c Let t(y) = -2*y**2 - 4*y + 2. Let p be t(3). Let u be (-4)/(-14) + 22/p. Let z = -16.65 - -12.65. Which is the closest to u? (a) 2/9 (b) z (c) -0.5 c Let j be (-2 + (-84)/(-49))*-1. Which is the nearest to 1? (a) j (b) -24 (c) -10 a Let n = 195 - 195.36. Let x = n - -0.66. What is the closest to x in -0.2, -0.4, 0.4? 0.4 Let z = 1053 + -1052.5. Which is the nearest to 2/3? (a) z (b) 4 (c) 496 a Let p = 434 - 392. Let q be p/(-70)*10/4. What is the closest to q in -2, 5, 1? -2 Let q = 5515.13 - 5590. Let j = 75 + q. Let x = j - -0.87. Which is the closest to 1/3? (a) -1 (b) x (c) -15 b Let k = 26.89 + -27. Let y = k + -0.31. Let i = y - -0.32. Which is the nearest to i? (a) -5 (b) 17 (c) -1 c Let g = -0.05 + -1.75. Suppose 0 = s - 2*d + 15, -4*s - 137*d = -136*d - 12. What is the nearest to s in -3, g, 1, -1/3? 1 Let j = -2 - -1. Let n = -19995 - -19994.8. What is the nearest to 2 in -5, n, j? n Let m = 0.4 + -0.2. Let c = -639 - -673.3. Let j = -34.6 + c. What is the closest to 9/2 in m, -2/5, j? m Suppose -15 = -5*g, -g - 26 = 5*x - 3*g. Let r = -1982/5 + 1984/5. Which is the nearest to 3/2? (a) r (b) x (c) -1/6 (d) 0.3 a Let h = -573 - -572.5. Let g = 351 + -320. Which is the closest to -0.3? (a) 0.1 (b) h (c) g b Let k be (10 - (-816)/(-80))*(0 + 3). What is the nearest to -2 in -5, k, -2? -2 Let y = 0.9 - -0.1. Let d = 193 - 191.85. Let v = d - 1.45. What is the closest to y in v, 1/4, -2/13? 1/4 Let i = 221.426 + -0.426. Let y = i - 222. What is the closest to 2/3 in y, 1/5, 6? 1/5 Let k = 334 - 1001/3. Let f = -140.9 - -141. Which is the closest to k? (a) 0 (b) f (c) 5 (d) 2/7 d Let c = 215/1122 + -1/102. Let i = 22 - 21.82. Let j = 15 + -12. What is the closest to -1/4 in c, j, i? i Let l = -16937/753986 + -93/20378. Let u = 7 - 25/4. Which is the closest to 0.1? (a) u (b) 4 (c) l c Let p = -0.8 + -0.2. Let o = 8.9576 - -0.0424. What is the closest to p in -1, -2, o? -1 Let g = -0.07 + -0.03. Let a = -0.7 - 2.72. Let p = a - -2.42. What is the nearest to p in -6, g, 0.4? g Suppose 109*p - 113*p + 40 = 0. Suppose -13 = p*v - 3. Let i be (-6)/(-15)*(-6)/(-4). Which is the nearest to -1? (a) i (b) 2 (c) v c Let k = 8 - 12. Let c = 17.356 - 0.356. Let d = 20 - c. What is the closest to 0.1 in d, -0.04, k? -0.04 Let t = -1.49 + 13.29. Let l = 16 - t. Let f = 4.7 - l. What is the nearest to 0 in 1, f, 5? f Let l = -500 - -313. Let n = 184 + l. Which is the nearest to 6/7? (a) 1 (b) 0 (c) n a Let r be (-22)/(-18) + 4/(-18). Let s = -189571 - -189598. What is the closest to s in 0, r, 2? 2 Let w be (0 - -1)/((-156)/51 + 3). Let b = 0.0392 + -0.0392. What is the nearest to b in 0.5, w, -1/5? -1/5 Suppose -2*x - 30 = -36. Suppose 3*k = 4*y + 122 + 37, -123 = 3*y - x*k. Let h = y - -37. What is the closest to 0.1 in 0.4, 0.5, h? 0.4 Let u be 3*4/36 - 1210/(-15). Let c be ((-27)/u)/(8/6). What is the nearest to -2 in -5, -3/8, c? -3/8 Let n = 0.8 + -0.44. Let u = n + -1.36. What is the closest to 2 in u, 1/7, -4/9? 1/7 Let h(j) = -j**2 - 7113*j - 21332. Let r be h(-3). Let k = -0.5 - 2.5. Which is the nearest to -0.1? (a) k (b) r (c) 3 (d) 4 b Let r = -6 + 10. Suppose -16 = 94*y - 78*y. Let a be y/2 - (-27)/162. What is the nearest to a in -0.07, r, -2? -0.07 Let x = -196 + 195.9. Let f be (-5 + 2)/(-3) - (-22)/(-20). Which is the closest to x? (a) f (b) 5 (c) -4 (d) -27/4 a Let n = 94 - 58.3. Let c = n + -35. Let p = c - 3.7. What is the nearest to p in -0.4, -4, 0.3? -4 Let t = 5692.9 + -5693. What is the closest to -2.51 in t, -1/3, -0.2? -1/3 Let r = 0.1 - -0.1. Let l = 70045 + -70045.06. Which is the closest to -1? (a) 4 (b) r (c) l c Suppose -3*q + 8*l = 11*l + 483, q + 179 = -4*l. Which is the closest to 0? (a) 0 (b) q (c) -7 a Let z = 0.02 - -0.98. Let p = 0.94197 + -0.44197. What is the closest to -1/3 in z, -0.2, p, 0.4? -0.2 Let y = 5 - 9. Let r = 367 + -5129/14. Let l = -87/70 + r. What is the closest to 8 in y, l, 0? 0 Let m = -0.3 + 0.2. Let p = 0.5 + m. Let w = -28973 - -28970. Which is the nearest to -0.13? (a) -2 (b) w (c) p c Let u = -83.4 + -1.6. Let l = -93.5 - u. Let v = l - -10.5. Which is the nearest to 2/19? (a) 5 (b) -5 (c) v c Let f = -0.2 + 0.5. Let j = -5.7627 - 0.2373. Which is the closest to f? (a) j (b) -3/2 (c) 1 c Let q = -2 - 1. Let m be q/(-20) + 2
{ "pile_set_name": "DM Mathematics" }
**2 - sqrt(242)))*6 + 0. 99*sqrt(2) + 4616 Simplify (-4 + (3 + 2*sqrt(1584) + 3 + (2*sqrt(1584) - sqrt(1584)))*1*-1)**2. 720*sqrt(11) + 14356 Simplify 4 + (((5*sqrt(190)*-1 + sqrt(190) + -4*(-1*sqrt(190) + sqrt(190)))*4)/(((sqrt(30)*-4)/sqrt(3) - sqrt(10)) + sqrt(30)/(sqrt(3)*4)))**2. 4172/19 Simplify 6*(sqrt(2156) + 4 + 3 + sqrt(2156) + (sqrt(440) - (sqrt(440) - ((sqrt(440)*-3 - sqrt(440) - sqrt(440))*2 - sqrt(440))))/sqrt(10)). 42 + 36*sqrt(11) Simplify (sqrt(119)/(-5*sqrt(567)) + -5)**2 + sqrt(17) + 4 + 1 + 3*(sqrt(17) + -5)**2. -259*sqrt(17)/9 + 315917/2025 Simplify ((sqrt(270)*-1)/(sqrt(60)/(sqrt(18)/sqrt(3))))**2 + sqrt(48)*2 + (sqrt(30)/sqrt(10))**2*2. 8*sqrt(3) + 33 Simplify (sqrt(1728) - sqrt(1728)*-1 - (2*sqrt(60)/sqrt(5) + sqrt(12) + sqrt(12)))/(sqrt(216)*-1*-4 - (sqrt(216) + (sqrt(216) - 1*sqrt(216)) - sqrt(216))*5). 5*sqrt(2)/6 Simplify ((sqrt(2432) + -1*sqrt(2432))/(-2*(sqrt(2) + sqrt(6)/sqrt(3))))**2 - -5*(-6*(5 + (sqrt(19) + 0 - sqrt(19))))**2. 4500 Simplify (((sqrt(273) - (sqrt(273) - -5*sqrt(273)*1))/(sqrt(63)*3 + sqrt(7)))/((sqrt(180)/sqrt(6))/sqrt(10) + sqrt(432)))**2. 1/52 Simplify -2*(-2 + (sqrt(1331) - (-2 + sqrt(1331))) + (-1*sqrt(66) + sqrt(66))/sqrt(6) + -4) + -5. 3 Simplify (-1*sqrt(187)*-4 - (sqrt(187) - (1*sqrt(187)*-2 + sqrt(187))))/(sqrt(396)*-3 + sqrt(396) - sqrt(396) - (sqrt(88)*3)/sqrt(8))*-4. 8*sqrt(17)/21 Simplify (-5 + -2*sqrt(22)/sqrt(2) + sqrt(121)/(sqrt(11) + sqrt(33)/sqrt(3)))**2 + 3 + (sqrt(88)/(sqrt(288) - -2*sqrt(288)))**2 + -1. 15*sqrt(11) + 8389/162 Simplify (-4 + -3 + 2 + -4*sqrt(448) + sqrt(448) + 3 + 1)**2 + 5. 48*sqrt(7) + 4038 Simplify (1*sqrt(304)*3)**2 + ((sqrt(114)/(1*sqrt(6)))**2 - ((1*sqrt(76))/sqrt(4))**2) + sqrt(475)*-2 + -5 + sqrt(475) + sqrt(475) + 3 + -3. 2731 Simplify (sqrt(486) - (sqrt(486)*1 + sqrt(486)) - (sqrt(384) + sqrt(384)*-3 + sqrt(384) + sqrt(384) + sqrt(384)))/(2*sqrt(320)/(-2*sqrt(10))). 17*sqrt(3)/4 Simplify (sqrt(4400) - (sqrt(4400) - (1*sqrt(4400)*-3 - sqrt(4400))) - -5*1*sqrt(4400))/(-2*sqrt(256)*1*4). -5*sqrt(11)/32 Simplify 5*(-4*sqrt(325)*-3)**2 + -4*2*sqrt(117)*1. -24*sqrt(13) + 234000 Simplify (-4*6*-3*(sqrt(275) + (sqrt(275) - -4*sqrt(275)*-6) + -1)*-1)**2 + 1. 1140480*sqrt(11) + 689995585 Simplify ((4*3*sqrt(112)*4 - (sqrt(28) + -4 - 5*sqrt(42)/sqrt(6))) + -3)**2. 390*sqrt(7) + 266176 Simplify ((((-1 + sqrt(1700))*5 - sqrt(1700))*-2 + -5)**2*-6 + 2)*-1. -4800*sqrt(17) + 652948 Simplify ((((sqrt(102)/sqrt(2))/sqrt(3) - (sqrt(2448)*1 + sqrt(17))) + 1*sqrt(68) + 1 + 4)*-5*-1)**2. -2500*sqrt(17) + 43125 Simplify (4*(sqrt(171) - (0 + sqrt(171))*3))**2 + -4 - -6*(sqrt(171) + 2*(sqrt(171)*1 + sqrt(171))**2 + sqrt(171) + 4). 36*sqrt(19) + 19172 Simplify -1*((sqrt(68)/(3*sqrt(256) - sqrt(4)) - ((1 + sqrt(153))**2 + sqrt(153) + -1)) + -1). 206*sqrt(17)/23 + 154 Simplify (-3*sqrt(187)*-5 + sqrt(187)*1*-4)/(((sqrt(121)*-2 + sqrt(121))/sqrt(11) - sqrt(275)*3)*5). -11*sqrt(17)/80 Simplify -1 + (sqrt(32)/sqrt(64) - (sqrt(128) - (sqrt(128) - (sqrt(128)*-1 + sqrt(128)))))/(2*(sqrt(4) + sqrt(144)*-3)). -1 - sqrt(2)/136 Simplify (0 + 3*sqrt(2057) + -5)*-4 + 0 + (-5 + (0 + sqrt(2057))*4)**2. -572*sqrt(17) + 32957 Simplify ((sqrt(76)*1*5 + sqrt(76) + (sqrt(76) - 1*sqrt(76)*2 - sqrt(76)) + sqrt(76))*1)/(sqrt(8)/(sqrt(2) - sqrt(2)*2) - sqrt(48)/(sqrt(12) + sqrt(300))). -30*sqrt(19)/7 Simplify -1*(sqrt(190)/(sqrt(10) + (2*sqrt(90))/sqrt(9)) + sqrt(171)*2 + 5)*3*5. -95*sqrt(19) - 75 Simplify (2*sqrt(200))**2 + 4 - -1*sqrt(200)*-2 - (sqrt(16)/sqrt(2) + 1 - (sqrt(800) + sqrt(800) + sqrt(800) + -3 + sqrt(800)))**2. -11380 + 604*sqrt(2) Simplify ((1*sqrt(168) - sqrt(168))/sqrt(12))/(sqrt(600)/sqrt(12)) + (sqrt(1008) + ((sqrt(1008) - (-3 + sqrt(1008)))**2 - sqrt(1008)) - sqrt(63)*5). -15*sqrt(7) + 9 Simplify (3*(((6*2*sqrt(85) - sqrt(85)) + sqrt(85))/(sqrt(55)/(sqrt(11)*-1)))**2*3 + -3)*4 + -1. 88115 Simplify ((4*((sqrt(425) - (-1 + 1 + sqrt(425)) - 6*(sqrt(425) + 1)) + -5))**2 + -3)*4. 42240*sqrt(17) + 986932 Simplify (-5*(3 + 0 + (1 + 2*sqrt(1573) - sqrt(1573)) + 2*sqrt(1573) + 0 + -1))**2. 4950*sqrt(13) + 354150 Simplify (4*(-6*(sqrt(95) - -1*sqrt(95)) + sqrt(95))*-3)/(6*(2*sqrt(405) - sqrt(405)) + sqrt(405) + 5*(sqrt(405) + sqrt(405)*-1)). 44*sqrt(19)/21 Simplify ((-5 + (sqrt(768) + -2 - sqrt(768)))*-6)**2 - 1*(sqrt(18)/(sqrt(6)*-3) + sqrt(3) - 3*sqrt(300)). 88*sqrt(3)/3 + 1764 Simplify (2*(sqrt(187) + (5*sqrt(187)*-1 - sqrt(187)) + sqrt(187))*-1)/((sqrt(66)/sqrt(12))/(sqrt(32)*1)). 64*sqrt(17) Simplify 2 + ((-1*(sqrt(119) + (sqrt(119) + (sqrt(119) - sqrt(119)*1) - sqrt(119)))*2*-6)/((sqrt(504) + (-4*sqrt(504)*2 - sqrt(504)))/sqrt(8)))**2. 25/4 Simplify 3 + (3 + (5 + (sqrt(448) - 5*sqrt(448)*-1) + 0)**2)*5. 2400*sqrt(7) + 80783 Simplify 4*(0 + sqrt(2299)) + sqrt(2299) + 1 + 2 - ((sqrt(19) - (sqrt(684) + (sqrt(684) + sqrt(684) + 0 - sqrt(684))**2)) + (-1*sqrt(1900))**2). -1213 + 60*sqrt(19) Simplify (-2*(sqrt(3645) + (sqrt(3645) - (-3 + sqrt(3645) + sqrt(3645) + -1)) + 3*sqrt(3645)*-2)*6*-4)**2. -2985984*sqrt(5) + 302367744 Simplify (-4*4*(sqrt(228) + -1*sqrt(228) + sqrt(228)))/(-5*(sqrt(108) - sqrt(12))*4). 2*sqrt(19)/5 Simplify (-6*(-2 + sqrt(13)*-1 + sqrt(1872) + -1))**2 + sqrt(6292) + sqrt(52) + -4*sqrt(117). -2364*sqrt(13) + 56952 Simplify (6*-2*-2*sqrt(133)*4)/(sqrt(448) - (sqrt(448) + sqrt(448)*1)*-6 - -6*2*sqrt(448)). 12*sqrt(19)/25 Simplify 1*((sqrt(192)*-2*1 - (sqrt(192) + 3 + sqrt(192) + 2))**2 + 3)*3. 960*sqrt(3) + 9300 Simplify 2*(5 + sqrt(304)*-2) + 2*(5*(sqrt(171) - -3*sqrt(171)))**2. -16*sqrt(19) + 136810 Simplify (2 + (2*sqrt(320) + 3)*-4)**2 + (sqrt(245) + -3*sqrt(245)*-3 - (sqrt(245) - (sqrt(245) + -2))**2*-2). 1350*sqrt(5) + 20588 Simplify (0 + (3 + (sqrt(2) - (-1 + sqrt(2))) - sqrt(10)/(sqrt(25)/sqrt(5))) + 1 + sqrt(8)/sqrt(4)*4 + 4)**2. 54*sqrt(2) + 99 Simplify (3*(sqrt(84) - sqrt(84)*2))/(sqrt(12) - (sqrt(1452)*2 + sqrt(1452))) + 2 + (sqrt(49) + 1*sqrt(49)*-5)/(sqrt(7) - (sqrt(49) + sqrt(784))/sqrt(7)). 2 + 35*sqrt(7)/32 Simplify (-1 + -6*(5 + (0 + sqrt(1539) + 2 - -1*-1*sqrt(1539)) + -5))**2. 169 Simplify (-5*4*sqrt(448) + -2 + sqrt(448)*-3 - (-5 + -2 + sqrt(448) - (sqrt(448) + sqrt(448)*3)*6))**2 + -3. 22 Simplify (-1 + ((sqrt(1728) - (3 + sqrt(1728)))**2 - sqrt(1728)) + 4 - ((-4 + 4*sqrt(1728))*-1)**2)*6. -165912 + 4464*sqrt(3) Simplify (((2 + sqrt(13))*-4)**2 + sqrt(416)/sqrt(2) - 5*3*sqrt(208))*-1. -272 - 8*sqrt(13) Simplify 6*(-6*(3 + -4*(-1 + sqrt(252))*1*-4*3))**2. -5598720*sqrt(7) + 125848728 Simplify (-4 + sqrt(275)*-1 - -2*sqrt(275)*1)**2 - (-1 + sqrt(275) + -2 + (-2*sqrt(275) + 4)**2). -822 + 35*sqrt(11) Simplify 0 + 3*(-4 + (-5 + 5*2*sqrt(11) - (sqrt(99) - (1 + (sqrt(99) - (sqrt(99) + 0)))))). -24 + 21*sqrt(11) Simplify 4 + ((-4*sqrt(1701))/sqrt(3))**2 + ((sqrt(3087) + sqrt(3087)*3)/sqrt(9))**2. 14564 Simplify 1 + ((-2*sqrt(76)/sqrt(2) + (sqrt(1862) + -2*sqrt(1862) - sqrt(1862)))/(sqrt(14)/sqrt(252) - (sqrt(864)/sqrt(12) + sqrt(2))))**2. 176785/1681 Simplify -1*((5*(1 + sqrt(147)))**2 + sqrt(147) - (2*(sqrt(147) + -3))**2)*4. -12304 - 2100*sqrt(3) Simplify ((6*-2*sqrt(147)*2 + (sqrt(147) - (-2*sqrt(147) + -4) - -3*sqrt(147)*1))**2 + -5)*6. -6048*sqrt(3) + 285834 Simplify (3*(sqrt(320) + -3) + 5)**2 - 1*(sqrt(80)/sqrt(4) + 2)**2. -200*sqrt(5) + 2872 Simplify sqrt(65)/(sqrt(45)*-1)*-1 - (sqrt(13) + ((sqrt(13) - sqrt(13)*-1)**2 - sqrt(13)) + 4 + sqrt(156)/(sqrt(96)/sqrt(8))). -56 - 2*sqrt(13)/3 Simplify (sqrt(336)/(sqrt(35)/sqrt(5))*-2)/(-5*(sqrt(96) - 2*sqrt(96)*2)). -sqrt(2)/15 Simplify (-4*-3*1*(1 + sqrt(320))*-1*4*5)**2. 921600*sqrt(5) + 18489600 Simplify ((2*sqrt(252))/sqrt(12) + sqrt(21))/(sqrt(363)*2) + ((2*sqrt(175) + 1)*-3 + -5)**2. 10563*sqrt(7)/22 + 6364 Simplify (5*((sqrt(1872) - (sqrt(1872) + (-1 + sqrt(1872) + sqrt(1872))*2)) + 2 + -6*(4*sqrt(1872) + -5)))**2. -571200*sqrt(13) + 36720100 Simplify (0 + ((sqrt(8)/sqrt(2) - sqrt(4))*-3)/(sqrt(8)*-3) + (sqrt(12)/sqrt(3)*-5 + sqrt(4))/(sqrt(242)*3))**2. 32/1089 Simplify ((5*sqrt(171)*2 + sqrt(171) + -2*sqrt(171)*6)/(sqrt(81)/(-2*sqrt(9))*6))**2 + 1. 28/9 Simplify -2 + -4 + sqrt(468) + (sqrt(1053) - -2*sqrt(1053))**2 - ((sqrt(13) + (sqrt(1300) + 0)**2 - sqrt(13))*6 + (-5*2*sqrt(78))/sqrt(6)). 16*sqrt(13) + 1671 Simplify 4*(sqrt(2448) + 1 + sqrt(68)/(sqrt(20)/sqrt(5))) - (sqrt(272) + (sqrt(27
{ "pile_set_name": "DM Mathematics" }
*((c*c**(5/4)*c)/(c*c**(-12)/c))**(-11) assuming c is positive. c**(-7577/28) Simplify (v/v**0)**(-1/6)/(v**(-1/4))**(34/5)*v*(v/((v**(1/5)*v*v*v)/v))/v*v*(v/(v/(v**(2/13)/v)))/v*v**(-8)/((v*v**6*v)/v*v*v*v) assuming v is positive. v**(-722/39) Simplify ((z*z*z**(-2/7))**(-28))**(-5/2)*(z**0)**39*(z/(z/((z/(z*z**(-3/2)*z*z*z)*z*z*z)/z))*z)/z*z/(z*z**(-1/2)*z) assuming z is positive. z**120 Simplify ((v**(-1/4)/(v*v**(2/13)))/(v**(-6)/v*v**(1/7)))/((v/(v/(v/(v**3/v))))/v*v**(3/7))**(-1/36) assuming v is positive. v**(8861/1638) Simplify ((c*(c**(-6/5)*c)/c*c)/c*c*((c**22*c)/c)/c*c**26*c**(-26))**(-1/15) assuming c is positive. c**(-109/75) Simplify (h**9/(h**(-2/3)*h)*h**(-1)/(h/(h/(h*h**(-7/3)*h*h*h))))**(-37) assuming h is positive. h**(-222) Simplify ((k/((k**(-1/3)*k*k)/k)*k)/(k/(k*k/k**(-3)*k*k)))**(-30)*(k/(k**0*k))**(-16/7)/((k/k**3)/k**3) assuming k is positive. k**(-215) Simplify ((((t/(t*t/(t*(t/(t**(10/17)/t))/t)*t))/t*t/(t*t**(1/45)*t)*t*t*t*t)**(-3/10))**(-42/11))**(1/22) assuming t is positive. t**(7441/102850) Simplify (q*q/q**45)/q**40*q/(q*((q**(-31)/q)/q)/q)*q**(-2/83) assuming q is positive. q**(-4069/83) Simplify (i*i/i**(-2/3)*(i*i**(-2)*i)/i*i)/(i**(-5)*i**(-2/5))*((i**(-2)*i)**(-30))**20 assuming i is positive. i**(9121/15) Simplify ((v/v**(7/5))/(v/v**(5/3)*v))**45/((v*v**1/v)**41*(v*(v/(v**(2/21)*v))/v)/((v*v*v/(v/(v**(4/5)/v)))/v)) assuming v is positive. v**(-7676/105) Simplify ((k**(-21)*k*k**17)/(k/(k*k**(-1/8)/k))**21)**42 assuming k is positive. k**(-4473/4) Simplify ((i**2/i)/i**(-1/31)*(i*i**(-2/39))/i**(-13))**(-1/3) assuming i is positive. i**(-18112/3627) Simplify (j*j*j**3*j/((j**(-2)*j)/j)*j*j)**42*(j**(-6)/(j*j*j/(j*(j*j**(-2))/j*j)))**49 assuming j is positive. j**(-21) Simplify ((x**0/x)**(2/9)/((x**(-1/12)*x*x)/x**(-3)))/(x/x**(-3/8)*x/x**(-1)*x**(-7)/(x*x/x**(2/9))) assuming x is positive. x**(19/72) Simplify (((m**(-1)*m*m)**(42/13)*(m*m**1/m)**7)**39)**(-3/16) assuming m is positive. m**(-1197/16) Simplify ((y**35/(y*(y/(y**16/y))/y))/((y*y/y**(1/11))/((y**7*y)/y)))**11 assuming y is positive. y**595 Simplify d*d**(-4)*d*d*d**(-1/4)*(d*d**(-1/4))/d**(-1)*(d**(-1)/d**(-2/11))/((d/(d*d**(-2)/d))/(d**4/d)) assuming d is positive. d**(-7/22) Simplify (y/y**(-2))/y*y*y**(-1/5)*(y/y**0*y)/y**(-2/7)*(y**5/y*y/y**(-4)*y)/(y/(y**0/y)*y*y)**(-49) assuming y is positive. y**(7388/35) Simplify ((d**(-1))**(-5/2))**(-15)/(((d*d**(4/7)/d)/(d**0/d*d))/((d**(-2/11)/d)/d**(5/6))) assuming d is positive. d**(-9260/231) Simplify (l**(2/17)/l**2)/(l**(-1/2)/l)**8*(l**(-3)/(l*l**(-1/13)))/(l**(-1/5)*l**8) assuming l is positive. l**(-1774/1105) Simplify (y**3*y**(-2/15))**(1/9)*(y/y**(-2))**34/(y**5/y*y*y*y**(-1/15)) assuming y is positive. y**(13012/135) Simplify ((((z/z**(1/7))/z*z)/z*z)/z**(-2/5)*z**1/z**(-6))/(z**(-4)/z**(-5)*z/z**(6/7)*z**(-5)) assuming z is positive. z**(424/35) Simplify (l**(4/7)*l**(1/4)*(l/(l/(l*l/l**3*l)*l*l))/l**(-2/9))/((l**(4/5)*l**(1/10))/(l**(2/9)*l**(-1)*l*l)) assuming l is positive. l**(-799/1260) Simplify ((z**(-1/68))**(-2/93)*(z*z**13)**(-31))**(2/39) assuming z is positive. z**(-1372307/61659) Simplify ((f*f*f**17*f)**(-11/4)/((f*(f*f**(1/22)*f*f)/f)/(f**24/f)))**(-12/13) assuming f is positive. f**(4626/143) Simplify ((s/s**1)/(s**(-1/3)*s*s))**(21/5)*s/(s/(s/s**4))*((s*s/(s*s**(2/7)))/s)/s*(s**(-2/5))**(-31) assuming s is positive. s**(39/35) Simplify (((h**(-5)/h)/h)**(-6)/(h**(-1/9)/(h/h**(-2/15)*h)))**(-32) assuming h is positive. h**(-63712/45) Simplify ((r*(r/(r/((r/r**(-1))/r))*r)/r)**25)**(-28)/(((r*r/((r**(-1/4)*r)/r)*r*r)/r**7)/(r**2/r**(-3))) assuming r is positive. r**(-5569/4) Simplify ((s**(-2/69)*s/s**(-1/27))/((s/((s/s**(2/51))/s))/(s/(s**(-1/8)/s))))**(1/38) assuming s is positive. s**(176837/3209328) Simplify ((l*l**29*l)/l)/((l/((l*l**(-27)*l)/l))/l)*(l**(-4/3)*l*l)/l**(-34) assuming l is positive. l**(116/3) Simplify (c/(c**(-8)*c)*c**(4/9)*c**8/c*c**(-4))/((c*c/(c*c**0))/c**(3/11)*c*c**5/c*c*c**5) assuming c is positive. c**(-28/99) Simplify ((x**(6/7)/(((x/x**18*x)/x)/x))/(x/(x**7/x)*x**3))**(-11/2) assuming x is positive. x**(-803/7) Simplify ((o/o**(1/15))/o**(-7))**(16/9)/(o/(o/(o/(o**(-3)/o)))*o**4/o*o/(o*o**2)*o*o**(-4)) assuming o is positive. o**(1499/135) Simplify (r**5/(r/(r/(r/(r/r**(-2/15)))))*(r**(-2/5)*r)**(-7))/(r**(-1/3)*r**(-2/5)*((r*r**(1/2)*r)/r*r)**(-36)) assuming r is positive. r**(275/3) Simplify (o*o**14*o/o**5*o*o)**(17/5)*((o**2*o*o*o)/o**(2/23))/((o/(o**(-2/21)/o))/(o*o*o**(-2)*o)) assuming o is positive. o**(115963/2415) Simplify ((m**(1/17)/m**(2/21))/(m**(1/17)/(m/(m**(2/33)/m))))**41 assuming m is positive. m**(5822/77) Simplify (m**11/(m**2/m*m))**(2/47)*m*m**1*m**(-1/4)*((m*m**(-2/7)*m)/m)**(-2/131) assuming m is positive. m**(365837/172396) Simplify s/s**(-5)*s*s*s**(-1)/s*s*s*s*s/s**(-1/10)*s*s**(-4)/s*(s/s**(1/2)*(s*(s*s*s*s**(-10)*s)/s*s)/s)**(-10/11) assuming s is positive. s**(111/10) Simplify ((q**(3/5)*q*q*(q/((q*(q/(q/(q*q**(-9))))/q)/q*q))/q)/(q**(-1/7)/q**(3/7)))**(-44) assuming q is positive. q**(-17204/35) Simplify (w/w**6)/(w**(-1/2)*w*w)*(w/w**(-8))/w**(-2/3)*((w*w**(1/3)*w)/w)/w**2*(w/(((w*w**5*w)/w)/w))/w**(-3) assuming w is positive. w**(3/2) Simplify ((((o**(-2/13))**19)**19)**34)**40 assuming o is positive. o**(-981920/13) Simplify ((d/d**8)/(d*d**(-2/13)*d)*(d**(-1/2)/d)**(14/11))/(d**(-1/16)/(d/(d*d*d**(-13)*d*d)))**44 assuming d is positive. d**(247101/572) Simplify ((n**(2/9)/(n/(n/(n*n**10))*n))/(n*n*n**(-2)*n*n/((n/(n**(10/7)/n*n))/n)*n))**(-2/37) assuming n is positive. n**(2042/2331) Simplify ((a**(-1/4)/a)**34*a**(-2/13)/a*a**(-1/3)/a)/(a*a**(-1/6)*a/(a**(3/4)/a)*a*a**(1/13)/(a*a**(-1)/a)) assuming a is positive. a**(-7667/156) Simplify (z**(2/7)*z*z**(-2/7))**(-35)/(((z/(z/((z**(-3)*z*z)/z)))/(z*(z/(z**(-4)*z*z))/z*z))/(z/z**(-2/9)*z*z**(-1/3))) assuming z is positive. z**(-244/9) Simplify ((k/(k**(-1)*k)*k*k)**(-44))**(-5/3)*(k**(2/9))**(-3/29)/(k**(2/5)/k**(2/17)) assuming k is positive. k**(1624642/7395) Simplify ((l*l/(l*l*l*l**(2/5)*l*l))/l*l**12/l*l**(6/17)*l/((l/(l*l*l**(-4)*l))/l))**31 assuming l is positive. l**(18321/85) Simplify (a*a**(-2/79)*a*a*a/(a/a**(-16))*(a/(a**16*a))**(-1/3))**(-28) assuming a is positive. a**(51044/237) Simplify ((v**0*v)**(-1/13)/(v**(-26/7)*v*v**32))**(1/6) assuming v is positive. v**(-1336/273) Simplify (((q**(-15/8)*q)/(q/q**20))**37)**(-10) assuming q is positive. q**(-26825/4) Simplify (m/m**2*m**(4/9)*m*m)**4/(m**7*(m*(m/(m*m**3)*m)/m*m*m*m)/m*m)**(1/24) assuming m is positive. m**(49/9) Simplify ((w**(1/4))**(-23/5)*w**(-2/7)*w*w*w**(-5/3)/w)/(((w*w**(1/7)/w)/(w*w/w**(-2)*w))/(w**1)**(1/10)) assuming w is positive. w**(1199/420) Simplify ((v**31*v)/v**(11/5))/(v**(-9/8)*v*v**(7/3)*v) assuming v is positive. v**(3191/120) Simplify ((d**(-15))**(5/12)*d*d**19*d*(d/(d/(d/(d/d**(-38)*d))))/d)**(-18) assuming d is positive. d**(909/2) Simplify u/u**(1/8)*(u*u**(-3/20)/u)/u*u*u**(8/7)*u**(-42) assuming u is positive. u**(-11237/280) Simplify ((c**(7/3)/c*c)/(c/c**(-2/9)))**27/(c**(-3/2)*c*c**2*c*c*((c*(c/(c*c**(-2/9)))/c*c)/c)/(c**(-2/13)/c)) assuming c is positive. c**(5879/234) Simplify (j**(-10)*j/((j/(j*j**(3/11)))/j)*j)**(-9)/(j**(-2/21)/j**(-2/13))**(-4/5) assuming j is positive. j**(909794/15015) Simplify j**(-2)/(j/(j*(j*j*j**(-1/2)/j)/j*j))*((j*j*j**(5/4)*j)/j)/j**(1/7)*(j/(j**(-1)*j))**(11/8)*j*j**(-6)*j*(j*j**(-1/4)*j)/j assuming j is positive. j**(-15/56) Simplify ((r**(-3/22)/(r/(r*r*r**(-21)/r)))/(r**(-11)*r*r**(1/24)))**44 assuming r is positive. r**(-2951/6) Simplify ((h**11*h)/h*h)**(-2/7)/(((h**(5/9)/h)/h*h*h)/h**(3/34)) assuming h is positive. h**(-8345/2142) Simplify ((l**(-1))**(-9/7))**11/((((l/((l**(2/5)/l)/l))/l)/l)**(-11/2)*(l**(-1/3))**(-18)) assuming l is positive. l**(801/70) Simplify ((c*c**(-1)*c)**(-25))**(1/27)/(c**10*(c/c**4)/c)**(-13/3) assuming c is positive. c**(677/27) Simplify ((l*l**(-6))/l**(-5)*((l*(l/(l/(l*l**6*l)))/l*l)/l*l)/l**2)/((l**(-1/4))**(-5/8))**(2/5) assuming l is positive. l**(111/16) Simplify ((d*d**(3/4)/d)/(d*d*d**(3/8)))**28*(d*d**(-5)*d**(-2))/(d**4*d*d**4/d) assuming d is positive. d**(-119/2) Simplify ((z*z/(z**(1/18)/z))**10/((z/(z/z**10))/z)**(5/21))**1 assuming z is positive. z**(1720/63) Simplif
{ "pile_set_name": "DM Mathematics" }
at is the derivative of n(o) wrt o? -2007 What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p? -31656*p Let q be (2/15*6)/((-22)/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o? -18*o - 52 Find the second derivative of -833*h + 176*h - 267*h + 473*h**3 - h**2 wrt h. 2838*h - 2 Suppose -11*n + 10*n + 6 = 0. What is the third derivative of -1 - 84*s**n + 13745*s - 13745*s - 9*s**2 wrt s? -10080*s**3 Differentiate -6501 + 6866 - 382*s**3 + s**3 wrt s. -1143*s**2 Let z(h) be the third derivative of -195*h**8/112 + h**4/6 + 53*h**3/2 + 1556*h**2. Find the second derivative of z(t) wrt t. -11700*t**3 Let r(f) be the first derivative of 2*f**7/7 - 14*f**6/3 - 7*f**3 + 51*f - 3138. Find the third derivative of r(c) wrt c. 240*c**3 - 1680*c**2 Let n = 270 + -265. Find the third derivative of 69*u**5 - 30*u**2 - 69*u**n - 8*u**6 wrt u. -960*u**3 Let q(o) = -495*o**3 + 5*o + 1713. Let f(h) = -485*h**3 + 4*h + 1715. Let u(r) = 5*f(r) - 4*q(r). What is the first derivative of u(z) wrt z? -1335*z**2 Let o(d) = -2*d**2 - 1. Let c(b) = 300*b**3 - 8*b**2 - 792. Let h(s) = -5*c(s) + 20*o(s). Find the first derivative of h(l) wrt l. -4500*l**2 Let g = 2 - 0. Let d be 8 + ((-3)/g)/(8/16). Find the third derivative of 758*y - 758*y + 2*y**d + 17*y**2 wrt y. 120*y**2 Let u(h) = 16*h - 63*h + 32*h**2 - 86*h - 16. Let c(p) = -31*p**2 + 133*p + 12. Let a(l) = -4*c(l) - 3*u(l). What is the second derivative of a(w) wrt w? 56 Let d(n) = -21*n**2 + 19*n - 2275. Let t(c) = -6*c**2 + 9*c - 1137. Let s(q) = -2*d(q) + 5*t(q). What is the derivative of s(l) wrt l? 24*l + 7 Let f = -113 + 119. Suppose 9*c - 6*c = f. Find the third derivative of -59*r**c + 43*r**4 + 149*r**2 - 64*r**2 wrt r. 1032*r Suppose 6*g - 272 - 40 = 0. What is the first derivative of -51 - 89 + 41 - g*j - 51*j - 51*j wrt j? -154 Find the third derivative of 485*o**4 + 60*o**2 + 589*o**4 + 1657*o**4 - 912*o**2 wrt o. 65544*o Let c(s) be the first derivative of 0*s**2 - 10 - 2/3*s**3 + 5/4*s**4 + 31*s. Find the first derivative of c(m) wrt m. 15*m**2 - 4*m Differentiate 140 + 787 + 607*l**3 + 728*l**3 + 1735*l**3 + 110*l**3 with respect to l. 9540*l**2 Let l(i) = -64*i**5 + 56 - 29 - 27 + 23*i**2 + 3*i. Let y(s) = 704*s**5 - 252*s**2 - 32*s. Let b(j) = 32*l(j) + 3*y(j). Find the third derivative of b(a) wrt a. 3840*a**2 Let i be -7 + (-39)/(-4) + 1*(-2 + 0). Let q(p) be the second derivative of -5*p**2 + 0 - i*p**4 + 19*p + 0*p**3. What is the derivative of q(l) wrt l? -18*l Let a(c) be the third derivative of 1135*c**4/12 - 527*c**3/3 + 1320*c**2. Find the first derivative of a(m) wrt m. 2270 Find the third derivative of 1087*x**4 + x**4 + 1524*x - 444*x - 3*x**2 + x**2 wrt x. 26112*x What is the second derivative of 4*z**2 + 62045*z**3 - 62251*z**3 - 2*z**2 + 2285*z wrt z? -1236*z + 4 Let d(l) = 1790*l**2 - 3740*l + 18. Let u(m) = 3578*m**2 - 7477*m + 42. Let y(x) = -7*d(x) + 3*u(x). What is the second derivative of y(f) wrt f? -3592 Let b(k) = 3*k**2 - 251*k + 372. Let v(p) = 4*p**2 - 268*p + 376. Let f(j) = 2*b(j) - 3*v(j). Differentiate f(d) with respect to d. -12*d + 302 Let k(j) = j**4 - 284*j**3 + 2521*j**2 + 2. Let a(r) = -r**4 + 285*r**3 - 2522*r**2 - 3. Let o(v) = -2*a(v) - 3*k(v). Find the third derivative of o(t) wrt t. -24*t + 1692 Let s(d) = 227*d + 1081. Let h(r) = 456*r + 2163. Let g(x) = 4*h(x) - 9*s(x). What is the first derivative of g(l) wrt l? -219 Let h = 232 - 228. Find the second derivative of 4*l + 14*l**4 - 3 + 12*l**h + 11*l**4 + 0*l wrt l. 444*l**2 Let g(r) = 2111*r**2 - 23*r + 58. Let n(b) = 10560*b**2 - 112*b + 290. Let c(a) = -19*g(a) + 4*n(a). What is the second derivative of c(i) wrt i? 4262 Suppose 143*a - 144*a = -2. Find the third derivative of -k**3 + 1 + 3 + a*k**6 - 6*k**2 + 62*k**3 wrt k. 240*k**3 + 366 Find the third derivative of -5895*s**3 - 1284 - s + 2512 - 1209 + 6*s**2 wrt s. -35370 What is the derivative of 15 + 1393*i - 214*i - 25 + 15 - 7*i wrt i? 1172 Let g(r) be the third derivative of r**5/60 + r**4/12 - 5*r**3/6 - 4*r**2. Let m be g(2). Differentiate 72 - 7*q**3 - 67 - 5*q**m wrt q. -36*q**2 Find the first derivative of -4578*i**2 + 197*i**2 + 501*i**2 - 3221 wrt i. -7760*i Let n(r) = -22*r + 184. Let k be n(7). Differentiate 10 + k + h - 3*h**2 + 12 with respect to h. -6*h + 1 Suppose -2*c + 3*v = -29, -c + v = -6 - 7. Suppose 5*x - 2*n = 7 + 34, 0 = 5*n - c. Differentiate 9*i - x*i + 28 - 13*i**3 + 0*i with respect to i. -39*i**2 Let l(j) = 13456*j**3 - 3706*j**2 + 2*j - 6. Let q(f) = f**3 + f**2 - f + 3. Let o(s) = -l(s) - 2*q(s). What is the third derivative of o(v) wrt v? -80748 Let b = 28 - 23. Let v(r) be the first derivative of -b*r + 7 - r - r**5 + 7*r. Find the first derivative of v(k) wrt k. -20*k**3 Let v(a) = -66*a**5 + 670*a**2 + 4*a. Let n(d) = -67*d**5 + 669*d**2 + 5*d. Let b(g) = 4*n(g) - 5*v(g). What is the third derivative of b(s) wrt s? 3720*s**2 Differentiate -41081*l**3 - 41083*l**3 + 75*l**4 + 693 + 82162*l**3 with respect to l. 300*l**3 - 6*l**2 Let l(k) be the first derivative of 4*k**5/5 - 317*k**4/4 + 1704*k**3 - 2205. What is the third derivative of l(r) wrt r? 96*r - 1902 Let y(g) be the second derivative of -4019*g**5/10 - 3823*g**3/6 - 476*g. What is the second derivative of y(o) wrt o? -48228*o Let h(d) be the second derivative of 0*d**2 - d - 19/20*d**5 + 0*d**3 - 5/3*d**4 - 9. What is the third derivative of h(a) wrt a? -114 What is the third derivative of 6364237*f**2 - 207*f**3 - 6364851*f**2 - 119*f**3 wrt f? -1956 Let n(l) = 8*l**2 - 5*l + 3. Let d be n(2). Suppose 6*u - 5*g - d = u, -22 = -5*u + 4*g. Differentiate 1 + 7 - 2 - 22 + 20*w**u with respect to w. 40*w Let v(d) be the first derivative of 3*d**5/5 + 33*d**4/4 + 13*d + 62. Let j(s) be the first derivative of v(s). What is the third derivative of j(z) wrt z? 72 Let b(y) = -1264*y**2 - 29*y - 534. Let n(l) = 632*l**2 + 16*l + 276. Let m(q) = -6*b(q) - 11*n(q). What is the first derivative of m(s) wrt s? 1264*s - 2 Let n(r) be the second derivative of 0*r**4 + 0*r**5 - 3/10*r**6 - 29/3*r**3 + 1/21*r**7 + 0 + 0*r**2 - 90*r. Find the second derivative of n(k) wrt k. 40*k**3 - 108*k**2 Let p(d) be the first derivative of -41*d**6/6 + 25*d**4/4 + 2*d**3/3 - 1183*d**2 - 4197. What is the third derivative of p(j) wrt j? -2460*j**2 + 150 Let j(i) be the second derivative of -1438*i**5/5 + 204*i**4 - i**2 - 10422*i. Find the third derivative of j(q) wrt q. -34512 Let j(s) = -30 + 25*s - 17*s + s**2 - 1. Let u be j(-11). What is the derivative of 19 - 2*q - u*q - 16*q wrt q? -20 Let c(m) be the third derivative of -5537*m**5/60 - 6187*m**3/6 - 12007*m**2. Differentiate c(r) wrt r. -11074*r Let k(n) be the first derivative of -23*n**2 + 0*n**4 + 0*n + 0*n**5 + 0*n**3 + 169 - 103/3*n**6. Find the second derivative of k(r) wrt r. -4120*r**3 Let q(o) be the second derivative of -5*o**4/12 + 49*o**3/6 + 378*o**2 - 2783*o. Find the first derivative of q(r) wrt r. -10*r + 49 Differentiate -14*d**2 + 5639*d - 2842*d - 2834*d - 1246 wrt d. -28*d - 37 Let l = -326 + 329. What is the first derivative of -3*d**3 - 5*d - 3 - l*d - 81 + 3*d wrt d? -9*d**2 - 5 Let m = -55 + -14. Let i be -4 + 4 + 4 - m. Find the first derivative of -24 + i - 5*o**4 - 2*o**4 wrt o. -28*o**3 Let j(p) = -69*p - 10. Let x be (-18 + 20)*((-6)/4 - 1). Let m(a) = 70*a + 11. Let l(v) = x*j(v) - 4*m(v). What is the first derivative of l(o) wrt o? 65 Let o(b) = -3*b**4 + 7*b**3 - 4*b**2 + 9*b - 928. Let w(f) = -13*f**4 + 28*f**3 - 17*f**2 + 34*f - 3706. Let g(c) = 17*o(c) - 4*w(c). Differentiate g(j) wrt j. 4*j**3 + 21*j**2 + 17 Suppose 309*m = 312*m - 156. What is the derivative of -2*q**2 + 30*q + 56*q - 127 - 112 - 116 + m wrt q? -4*q + 86 Suppose 0 = -2*l - 4*o + 26, -19 = -4*l - 3*o + 8. Let t(r) be the second derivative of -1/6*r**l + 15*r**2 + 21*r + 0. Differentiate t(u) wrt u. -1 Let p(u) = 1033*u - 924. Let c(t) = -2047*t + 1844. Let z(y) = -3*c(y) - 5*p(y). Differentiate z(h) wrt h. 976 Let v(n) be the first derivative of n**3/3 + 304*n**2 - 1062*n - 2605. What is the derivative of v(o) wrt o? 2*o + 608 Suppose -13*y = 14 - 170. Let p = 6 + 9. Differentiate 12 - p + 15 + 16*s**4 + y wrt s. 64*s**3 What is the third der
{ "pile_set_name": "DM Mathematics" }
sqrt(153)/(sqrt(45)/sqrt(5)))**2). 3 Simplify -2*-5*(4 + (sqrt(300) + 5)**2). 1000*sqrt(3) + 3290 Simplify 2*((4*sqrt(3))**2 + -4 + sqrt(108)*-3). -36*sqrt(3) + 88 Simplify 4 + (-2 + 6*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))))**2. -1440*sqrt(13) + 67496 Simplify (((sqrt(352)*2 + sqrt(352))/sqrt(8))/sqrt(144) + 0)**2. 11/4 Simplify ((-1*sqrt(544) + sqrt(544) + sqrt(544))*-1)/(-4*(sqrt(162) + 2*sqrt(162) - sqrt(162))). sqrt(17)/18 Simplify (-4*-3*-1*5*(sqrt(704)*-1 + 1))**2. -57600*sqrt(11) + 2538000 Simplify (3*4*(-1 + 4*sqrt(1300) + sqrt(1300) + 2))**2. 14400*sqrt(13) + 4680144 Simplify (sqrt(540)/(sqrt(192) + sqrt(12) + sqrt(12)))/sqrt(9) - (sqrt(50)/(sqrt(810) + -3*sqrt(810)))**2. -5/324 + sqrt(5)/6 Simplify (-3*sqrt(16)/sqrt(8)*6)**2 - 2*1*sqrt(8)/sqrt(4). -2*sqrt(2) + 648 Simplify 6*-2*((sqrt(144)*-1)/sqrt(12))**2*-5. 720 Simplify -2*(-3*sqrt(150)/sqrt(6))/(sqrt(10)/sqrt(2)*-4)*-5. 15*sqrt(5)/2 Simplify ((sqrt(675) - (sqrt(675) + (-5 + sqrt(675) + -2 - sqrt(675) - sqrt(675))) - -3*(-1 + sqrt(675)))*-5)**2. 12000*sqrt(3) + 270400 Simplify (-1*sqrt(1008)*-4 + sqrt(1008)*-1 + -2 - -6*(sqrt(1008) + 1*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)))))**2. -2880*sqrt(7) + 226864 Simplify (((sqrt(330)*2)/sqrt(11) + (sqrt(30) - (1*sqrt(30) + sqrt(30))*5 - sqrt(30) - sqrt(30)))/(sqrt(24)*-1 + sqrt(24) + sqrt(72)/sqrt(3)))**2. 405/4 Simplify 2*(sqrt(104)/(sqrt(2)*2*4) + 3). sqrt(13)/2 + 6 Simplify ((sqrt(72)/sqrt(3)*-5)/(sqrt(120)/sqrt(90) + sqrt(12)) + -2)**2 + 2. 15*sqrt(2) + 273/8 Simplify 3*(6*3*sqrt(209) - sqrt(209))/(sqrt(11) - (sqrt(22)/sqrt(2)*3 - sqrt(11))) + 0. -51*sqrt(19) Simplify 2 + (-6*5*sqrt(77)*2)/(sqrt(396) + sqrt(396) + (sqrt(396) + (sqrt(396) - (sqrt(396) + (sqrt(396) - (sqrt(396) - -1*sqrt(396))))))*-2 - sqrt(396)). 2 + 10*sqrt(7)/3 Simplify ((sqrt(88) + sqrt(88)*-3)/sqrt(4))/sqrt(2) - ((4*sqrt(792))/sqrt(2))**2. -6336 - 2*sqrt(11) Simplify (sqrt(3645)*2 + sqrt(720)*-2)/(sqrt(1089) - 5*sqrt(1089)*2). -10*sqrt(5)/99 Simplify (5 + (2*sqrt(200) - sqrt(200)) + -2*(3 + sqrt(200)) + sqrt(200) + 3)**2. 4 Simplify ((sqrt(125) + (sqrt(125) - (-4 + -1 + sqrt(125))) + (-3*(sqrt(125) + 1) - sqrt(125)) + 4)*4)**2. -2880*sqrt(5) + 18576 Simplify (sqrt(325) + -1*sqrt(325))*2 - (-3*sqrt(325)*-5)**2. -73125 Simplify ((sqrt(1600) + sqrt(1600)*-3 + sqrt(1600))*4 - sqrt(1600))/(sqrt(30)/(1*sqrt(6)*-3)). 120*sqrt(5) Simplify -2*(sqrt(22)/(sqrt(1100) + (sqrt(1100) - (2*sqrt(1100) + sqrt(1100)) - sqrt(1100))))**2 + (sqrt(288) - (0 + (sqrt(288)*2 + sqrt(288))**2)) + 2. -259001/100 + 12*sqrt(2) Simplify 3 + (-6*(sqrt(612) - (sqrt(612) + -1)))**2 - ((sqrt(612)*1)**2 + 1 - (sqrt(612) - (-4*(sqrt(612) - (2*sqrt(612) + sqrt(612))))**2)). -39742 + 6*sqrt(17) Simplify (2*sqrt(187))/sqrt(11) + 2 + 1 + (sqrt(17) - (-2 + sqrt(425) + sqrt(425) + sqrt(17)))**2 + 5. -38*sqrt(17) + 1712 Simplify -1*(1*(sqrt(1584) + 2 + sqrt(1584)) + 1)**2. -6345 - 144*sqrt(11) Simplify ((sqrt(180) + sqrt(180)*5)/sqrt(6))/(-5*sqrt(160) + sqrt(10)). -6*sqrt(3)/19 Simplify -1 + (sqrt(42) + (sqrt(42) - (sqrt(5082) + 4*sqrt(5082) - sqrt(5082))))/(sqrt(96)*-3)*4. -1 + 14*sqrt(7) Simplify -2*((sqrt(11) + sqrt(539) + 3)**2 + -6*(-2 + sqrt(11))). -1450 - 84*sqrt(11) Simplify ((((-2*sqrt(420))/sqrt(10))/sqrt(2))/((-4*sqrt(192) + sqrt(192))*3))**2. 7/1296 Simplify (-5 + (sqrt(108) + -1 + sqrt(108))*4*1 + -1)**2. -960*sqrt(3) + 7012 Simplify (sqrt(1500) - -1*sqrt(1500))/sqrt(12) - (2*sqrt(560) - sqrt(560))/sqrt(7). 6*sqrt(5) Simplify -1*(-2 + (sqrt(52)*-3)**2 + 1). -467 Simplify -2 + (((sqrt(567) - 2*sqrt(567)) + sqrt(567))*1 - (1 + sqrt(7) + 1)*-6)**2. 144*sqrt(7) + 394 Simplify (((1 + sqrt(153))*6 + sqrt(153) + sqrt(153) + ((-3 + sqrt(153))*-3 - sqrt(153)))*-1)**2. 360*sqrt(17) + 2673 Simplify (-5*sqrt(153)*1 - -2*((-2*sqrt(153) - sqrt(153)) + sqrt(153)))/(((sqrt(576)*1 - sqrt(576)) + sqrt(576))*-6). 3*sqrt(17)/16 Simplify ((1*(sqrt(567)*2)**2 - sqrt(56)/((sqrt(8) - (sqrt(8) - sqrt(24)/sqrt(3)))*-2 - sqrt(8) - sqrt(8))) + -1)*4. sqrt(7) + 9068 Simplify 3 + (0 + (sqrt(300) - (sqrt(300) + -2 + -1 + sqrt(300) - sqrt(300)))**2)*2. 21 Simplify -4*(-4 + (sqrt(1300))**2*4 + -2). -20776 Simplify ((2 + sqrt(468))*3*-5)**2 - ((sqrt(468) + 0 + sqrt(468) + -4)**2 + (0 + sqrt(468))**2 + 1). 5496*sqrt(13) + 103843 Simplify (sqrt(192) + 1 + -4)**2 + 3 + (sqrt(27))**2*5. -48*sqrt(3) + 339 Simplify 2 + (6*1*sqrt(14))/(sqrt(4)/(sqrt(4)/sqrt(2))) + 4. 6 + 6*sqrt(7) Simplify (-3 + (sqrt(288) + 0 - sqrt(2) - (-4 + sqrt(128)))**2)*3. 93 + 72*sqrt(2) Simplify (sqrt(33)/sqrt(3) + 0)*2 - (-5 + sqrt(11)*-4)**2*4. -804 - 158*sqrt(11) Simplify (-6*(sqrt(108) + sqrt(108) + -1 + 0 + (sqrt(108) - (sqrt(108) + -1 + -1) - sqrt(108))))**2. 432*sqrt(3) + 3924 Simplify ((sqrt(280)/(sqrt(15)/sqrt(3)*-1))/(sqrt(40)/sqrt(5)*6 - sqrt(24)/(sqrt(3)*-1 - sqrt(3))))**2. 28/169 Simplify 0 + ((1 + sqrt(700) + sqrt(28)/(sqrt(4)*1))*-5)**2 + -5. 550*sqrt(7) + 21195 Simplify -3*(5*1*sqrt(110)*2)/((sqrt(480) - (sqrt(480) + sqrt(480) + 1*sqrt(480) + sqrt(480)) - sqrt(480))/sqrt(3)). 15*sqrt(11)/8 Simplify -1 + (sqrt(132)/(3*sqrt(3)) - sqrt(44))/(1*(sqrt(4) + sqrt(28)/sqrt(7))). -sqrt(11)/3 - 1 Simplify ((-1 + (2 + sqrt(170)/sqrt(10) - sqrt(153)/sqrt(9)*-1))*-6)**2. 144*sqrt(17) + 2484 Simplify (5*(1*sqrt(12) - sqrt(3) - sqrt(3) - (sqrt(432) + 2)))**2 + 2. 1200*sqrt(3) + 10902 Simplify ((sqrt(20)*2*-3)/sqrt(4) + (sqrt(450)/(sqrt(9)*-1 - sqrt(9)))/sqrt(10))**2. 845/4 Simplify (-4 + (sqrt(308)/(sqrt(11) - (sqrt(11) - sqrt(176))) - ((sqrt(147) - 1*sqrt(147))/sqrt(7))/sqrt(3)))*-3. -3*sqrt(7)/2 + 12 Simplify -5*2*(-2 + 0 + sqrt(125))*-3*-3. -450*sqrt(5) + 180 Simplify ((-1*sqrt(80) + -2 - sqrt(80))**2 - (3 + sqrt(80) + 1)**2) + ((sqrt(80) + 2 + sqrt(80) + 0)*5)**2. 800*sqrt(5) + 8328 Simplify -1 + (sqrt(475) + 0 + -3 + sqrt(475) + sqrt(475) + sqrt(475) + 0 + -2)**2 + -3. -200*sqrt(19) + 7621 Simplify -1*(sqrt(252) + sqrt(252) + 2 + sqrt(252) - sqrt(252)) - (-5 + sqrt(252) + 1 + sqrt(252))**2. -1026 + 84*sqrt(7) Simplify (sqrt(1872)*-2*-2 - -5*sqrt(1872)*5)**2. 1574352 Simplify (((sqrt(150)/sqrt(3) - sqrt(50)) + 0 + (sqrt(72) + 0 - sqrt(2)) + (sqrt(2) - (sqrt(2)*-1 + -4)))*5)**2. 1400*sqrt(2) + 2850 Simplify 2 + sqrt(7) + 3 + -4 - 5*sqrt(14)/(sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4))). 1 + 6*sqrt(7) Simplify (5*(sqrt(76) - 1*sqrt(76))*6)/((sqrt(324) + (sqrt(324) - -2*sqrt(324)))*-4). 0 Simplify 3*((0 + 3*sqrt(112) + sqrt(112) - sqrt(112) - sqrt(112)) + 4) + -1. 11 + 24*sqrt(7) Simplify -6*1*((sqrt(2268) + -1)*5)**2*-2. -10800*sqrt(7) + 680700 Simplify (sqrt(187)*-1*4)/(sqrt(22)/sqrt(2)*-6) - (1*sqrt(272)*1)**2*-4. 2*sqrt(17)/3 + 1088 Simplify 0 + sqrt(405) + (sqrt(405)*3 + 3)**2 + 1 + 5 + 2*sqrt(405). 189*sqrt(5) + 3660 Simplify 1*(sqrt(112) + -2 + 1 - -4*(3 + sqrt(112) + sqrt(112)))**2 + -3. 792*sqrt(7) + 9190 Simplify -1*sqrt(55)/(-6*(sqrt(20) - sqrt(5)))*-1. -sqrt(11)/6 Simplify (sqrt(540)/(2*sqrt(12)) - ((sqrt(5445) - (-2*sqrt(5445) + sqrt(5445) + sqrt(5445))) + sqrt(45)))/((sqrt(144) + sqrt(144)*1)*5 + sqrt(144)) + -4. -4 - 23*sqrt(5)/88 Simplify (-2 + sqrt(272)*-5 + sqrt(2448)*1 + 1 + sqrt(425) + sqrt(425))**2. -4*sqrt(17) + 69 Simplify (0 + (sqrt(1584) + 1)*-6 - -1*(3 + (sqrt(1584) - 1*sqrt(1584))))**2. 432*sqrt(11) + 57033 Simplify (sqrt(3) + sqrt(3) + (2*sqrt(27)/sqrt(9) - sqrt(3)) + 2)*-5 + -5. -15*sqrt(3) - 15 Simplify -1*(-6*sqrt(114)*-2 + 1*sqrt(114)*3)/(sqrt(54) + sqrt(108)/sqrt(2)*1). -5*sqrt(19)/2 Simplify -2 + ((sqrt(132) + (sqrt(132)*-1 - sqrt(132)))*6 - sqrt(132))/(sqrt(12) + (sqrt(72)*-1)/sqrt(6) - sqrt(12)). -2 + 7*sqrt(11) Simplify (1*((-2*sqrt(825) - sqrt(825) - sqrt(825)) + sqrt(825)) + sqrt(825) + sqrt(825))/((sqrt(33) - sqrt(4752)*-2)/sqrt(3)). -sqrt(3)/5 Simplify (sqrt(272) - (sqrt(272) - (3*sqrt(272) + sqrt(272))*-1 - sqrt(272))**2) + 0 + -5. -4357 + 4*sqrt(17) Simplify (sqrt(119) - sqrt(119)*4*3)/(sqrt(63)/(sqrt(63)/sqrt(7))). -11*sqrt(17) Simplify ((sqrt(640) + 1*(sqrt(640) - (sqrt(640)*-1 - sqrt(640))) + sqrt(640))/((sqrt(6655)*-2)/sqrt(11)))**2. 800/121 Simplify sqrt(143)/(-2*sqrt(99) + sqrt(11))*-4 - (0 + sqrt(117) + sqrt(91)/(sqrt(28)/sqrt(4)) + -3). -16*sqrt(13)/5 + 3 Simplify (-2 + (-4 + -4*(sqrt(1300) + 1)*1)**2)*6. 3840*sqrt(13) + 125172 Simplify -5 + 2*(sqrt(1539) - (sqrt(1539) - (5*(sqrt(1539) - (0 + sqrt
{ "pile_set_name": "DM Mathematics" }
Simplify (((z**9/z)/z**(-17))**(4/5))**21 assuming z is positive. z**420 Simplify (a*(a*a**8)/a*a**(1/9))/(((a*(a**(-11)*a)/a*a)/a)/a**5) assuming a is positive. a**(217/9) Simplify (u/(u/(u/((u/(u/(u*u/(u*u*u**(-2)*u))))/u))*u))**(-4)/((u**11*u)/u**(2/23)) assuming u is positive. u**(-274/23) Simplify ((z*z**(-18)/z)/z*z)/(z*z**(5/9)*z)*z**(-2/11)/z**(7/3) assuming z is positive. z**(-2284/99) Simplify ((p*p*(p*p**8)/p)/p*p*p/p**3*(p**(1/3))**(6/25))**14 assuming p is positive. p**(2828/25) Simplify (a*a**(-24/5))**(-14)/(a**(-2/3))**(2/111) assuming a is positive. a**(88598/1665) Simplify (((m/(m/m**(1/13)))/(m/(m**(2/33)*m)))**(-40))**27 assuming m is positive. m**(-21240/143) Simplify (z/z**(-6))**(-1/14)/(z**(1/2)/z**(-13)) assuming z is positive. z**(-14) Simplify (n*n/n**13*n*n**(8/9))/(n/(((n*n**(-1))/n)/n*n*n*n))**(-8) assuming n is positive. n**(-82/9) Simplify (d**(8/9)/(d*d**10*d))/(d**(-10)/(d/(d*d*d/(d*d**(3/11))))) assuming d is positive. d**(-182/99) Simplify (v**4)**(4/11)/((v/v**(2/17))/(v/v**16)) assuming v is positive. v**(-2698/187) Simplify ((i**(-5)*i*i)/i)**29*((i/i**5*i)/i)/i**17 assuming i is positive. i**(-137) Simplify (g/((g*g**7)/g))**(-10/9)*g**(-4)*g/((g*g**15)/g) assuming g is positive. g**(-34/3) Simplify (((l*l/(l/l**3))/l)/(l**(-1/4)*l)*((l/(l**2/l))/l)/(((l*l*l**(-4/9)*l)/l)/l))**(1/2) assuming l is positive. l**(25/72) Simplify ((d**(-3))**(-24)/(d**(-12)/(d/d**(1/4))))**(-1/5) assuming d is positive. d**(-339/20) Simplify (d**14/d*d)/(d**11*d*d)*d*(d/d**(-1/4))/d*d*d*d**8 assuming d is positive. d**(49/4) Simplify ((j*j**(-13/3)/j)/j**20)/(j/(j**(-7)*j)*(j*j*j**(-1/18)*j*j)/j) assuming j is positive. j**(-617/18) Simplify ((y*y**1)**(2/119)*y*y**(-6)*y*(y*y**(-3/5)/y)/y)**(1/3) assuming y is positive. y**(-1104/595) Simplify (t**(1/4))**(-1/15)*(t**(-3/8))**(-5) assuming t is positive. t**(223/120) Simplify (p*p*p/p**(7/2))**(1/31)/((p/(p*p**3/p))/p)**(35/2) assuming p is positive. p**(1627/31) Simplify ((((w**(1/3)*w*w)/w)**(-6/29))**(-16/7))**(3/8) assuming w is positive. w**(48/203) Simplify ((p**(-1/19)*p*p)/(p/((p*(p/(p/((p**(-10/3)/p)/p)))/p)/p)*p))/(p*p**(1/4)*p*p**(-23)) assuming p is positive. p**(3275/228) Simplify ((q**11)**(2/17))**(1/44) assuming q is positive. q**(1/34) Simplify ((o**(1/4)/o*o)/o)**(-38)*(o*o**(-13))/(o/(o/(o**(-2/63)*o))) assuming o is positive. o**(1957/126) Simplify ((w*((w**(-3/7)/w)/w*w)/w)**44)**30 assuming w is positive. w**(-13200/7) Simplify ((l*l**(-1/2))**(2/25)/(l**(-1)/(l*l/l**(1/2)*l)))**(-14/5) assuming l is positive. l**(-1239/125) Simplify (d**1*d**(-1/3)/d*d**5/d**(-6))**33 assuming d is positive. d**352 Simplify (t**11/t*t**(1/4)*t)/(((t*t/t**(-2/31))/t)/t*t*((t*t*t*t**5*t*t)/t*t)/t) assuming t is positive. t**(147/124) Simplify (d**(-2/7))**(-20/9)*(d**(-1/2))**28 assuming d is positive. d**(-842/63) Simplify (d*d/(d**(9/5)*d))/d**6*d/d**(-3/13)*d/d**9 assuming d is positive. d**(-882/65) Simplify (((d*((d**(-9/4)*d)/d)/d)/(d**(-2)/d))**(-4/5))**(-10) assuming d is positive. d**6 Simplify (r*r/(r**10*r))/r**(-1)*r**9/(r*r**6*r*r) assuming r is positive. r**(-8) Simplify u**(-2/15)*u/u**20*u**8*(u/u**(-1/2))/u assuming u is positive. u**(-319/30) Simplify s*s*s/s**14*s*s/(s/(s*(s**13*s*s)/s))*s*s*(s**4)**(-43) assuming s is positive. s**(-165) Simplify ((g**(-2)*g*g*g)**(-2/17)*((g*g**2)/g*g)**(-9))**(-1/7) assuming g is positive. g**(461/119) Simplify (g/(g*g*g**5*g))/g*g*(g**12*g)/g*(g/(g**(2/3)*g))/(g**(-6)/g) assuming g is positive. g**(34/3) Simplify (r*r**(-3)*r)**16*r*((r/(r*r*r**8*r*r)*r)/r)/r*r**(-1) assuming r is positive. r**(-28) Simplify (x*x**(-11))/(x/x**(-17/2)*x*x*x*x)*x**(-23)/x*x*x**24/x assuming x is positive. x**(-47/2) Simplify (x**(-1/6))**(9/7)*(x/x**0)/x**(3/2) assuming x is positive. x**(-5/7) Simplify (b**(-4)*b/b**(1/10)*(b**(2/3)*b)**(-35))**(29/3) assuming b is positive. b**(-53447/90) Simplify ((n/((n*n*n**(-1/2))/n)*n)/n**6)/((n*n*n**8)/(n**(-1/4)/n)) assuming n is positive. n**(-63/4) Simplify (m/m**(-2/47)*m)/((m/m**31)/m)*(m**(-5/12)/m)**(-8) assuming m is positive. m**(6257/141) Simplify (q*q**(-7)/q)**(-1)/(q*q**(-1/15)*q*q**(-1/21)*q) assuming q is positive. q**(144/35) Simplify n**(-4)*n*n**17*n*n*(n*n*(n*n**(-11)/n)/n)/n**(-2/11) assuming n is positive. n**(68/11) Simplify i**13*i*i*i**(-2/9)*i*i*(i/(i/i**(-3/14)))/(i*i**11) assuming i is positive. i**(575/126) Simplify ((g**(-1/2))**(-9/7)*g/(g/(g*g**(-7)/g))*g*(g/(g*(g/((g/g**(1/7))/g))/g))/g*g)**(13/2) assuming g is positive. g**(-143/4) Simplify (y**(10/3)/y*y**(-29))**(-5) assuming y is positive. y**(400/3) Simplify t**(-3/11)*t**(-6/5)*(t*t**(-1/10))/(t/(t**(-2/7)*t)) assuming t is positive. t**(-661/770) Simplify (((l**(-1/32)/l)/l)/l**9)/((l*l*l/l**(-14))/(l/(l*(l/(l/l**(1/11))*l)/l)*l)) assuming l is positive. l**(-9547/352) Simplify (c*c/(c*c**(1/5))*c)**35*c**(5/4)/((c**(11/5)*c)/c) assuming c is positive. c**(1241/20) Simplify x**5/(x**(7/3)*x)*(x/(x**(-2/5)/x)*x)**(5/2) assuming x is positive. x**(61/6) Simplify j**1*j*j**(-2/9)*j/((j/(j*j**(-1/3)))/j*j)*j/j**(2/5)*j assuming j is positive. j**(182/45) Simplify h*h/(h/(h**14/h)*h*h)*h/(h/(h/h**12))*h**(-11)/(((h**(-4)*h)/h)/h) assuming h is positive. h**(-5) Simplify (k/(k*k**1)*k/(k/(k/(k/k**21))))**(5/16) assuming k is positive. k**(25/4) Simplify ((n**(-3/5))**(-1/4))**(-1/19) assuming n is positive. n**(-3/380) Simplify (j/j**(-2/41))/j**(-20)*(j**(2/19))**(-36) assuming j is positive. j**(13445/779) Simplify (k**(-33)*k**(-2/15))/((k**(-1/27)/k)/k**(-32)) assuming k is positive. k**(-8653/135) Simplify (((a*a/(a**(-2)*a))/a)/(((a/((a**(-3/4)/a)/a))/a)/a))/(a*a*a*a**(-6)*a)**(-2/47) assuming a is positive. a**(31/188) Simplify (q**(-3/2)/(q/q**(1/11))*q*q/(q/(q/(q/(q*q*q**(-2/3)/q))))*q/(q/((q*q**(-2/7))/q))*q)**29 assuming q is positive. q**(-4843/462) Simplify (o**(2/5)/o*o*o)**(-13)/((o**(-4/5)*o*o)/o**11) assuming o is positive. o**(-42/5) Simplify ((c*c/(c**(-31)/c)*c)/c**(2/7))**(1/4) assuming c is positive. c**(243/28) Simplify h/(h/(h*h*h**6/h))*h*h**(1/3)*h**(2/37)*h*h*h**(-4)*h*h*h*h assuming h is positive. h**(1153/111) Simplify ((v/v**(2/5))**(1/56)/(v*v*v/(v**(-3)*v)*v*v**(-5/4)*v*v))**41 assuming v is positive. v**(-77367/280) Simplify ((t**(-2/5)*t*t/(t*t**(2/5)*t))/(t**(-1))**(12/7))**(-10) assuming t is positive. t**(-64/7) Simplify ((f**(3/5))**(3/5))**(1/10) assuming f is positive. f**(9/250) Simplify (r**(1/4)/r)**(-2/13)*(r**(2/9))**(-2/107) assuming r is positive. r**(2785/25038) Simplify (b**(-2/5)*b*b**(-2/9))/(b*b**(-1/33))**(-2/11) assuming b is positive. b**(3017/5445) Simplify ((y**(2/5)/y)/y*y)**(3/7)/((y**(2/27)/y)/(y**(1/3)*y)) assuming y is positive. y**(1892/945) Simplify (d**(-1/13))**2/(d**(2/21))**(7/5) assuming d is positive. d**(-56/195) Simplify o*o/o**(-16)*o**(-2)*(o/(((o*o**(1/2))/o)/o))**(-23/2) assuming o is positive. o**(-5/4) Simplify (t**(-2/11)*t/(t/(t*(t**(-24)*t)/t)))/(t*t**(-1/2)*t*t**(-8)*t) assuming t is positive. t**(-389/22) Simplify (g*g**(-2/21)/g)/(g*g**8*g*g)*(((g*g/(g*g*g**(-2/35)*g))/g)/g*g)/(g/g**(2/25)) assuming g is positive. g**(-7328/525) Simplify ((i**(-11/6)*i*i)/(i/i**(-11)))/(i*i**1*i*i/(i/i**(2/57))) assuming i is positive. i**(-565/38) Simplify d**(2/9)*(d/d**(11/3))/d*d*((d*d*d/(d/d**(-11)))/d)/(d**(4/5)/d*d) assuming d is positive. d**(-596/45) Simplify (t**(-5/8)*t**8)/(((t*t**(9/5))/t)/t*t*t**(-23)) assuming t is positive. t**(1143/40) Simplify ((w**(-11)*w)/w*w*w**3/w)**(4/11) assuming w is positive. w**(-32/11) Simplify ((h/((h/(h**(-1/2)/h))/h))**20*(h*h**(-3))/((h/(h*h**(-2)*h))/h))**(-26) assuming h is positive. h**312 Simplify ((r*r*r/(r/(r/(r/r**(-2/91))*r)))/r*r**(-2/21))**(-2/97) assuming r is positive. r**(-1028/26481) Simplify y**(-3)/y**(2/9)*(y*(y/y**(3/7))/y)**(-5/9) assuming y is positive. y**(-223/63) Simplify (w/(w*(w**7/w)/w*w))**20/(w**(-2/9))**(-3/10) assuming w is positive. w**(-1801/15) Simplify ((b*b**21*b)/b*b**(-9/4))/(b/b**(7/3))**(2/21) assuming b is positive. b**(5009/252) Simplify ((t/(t*t**(-2/13)))**(3/10)/(t**(2/13))**(3/4))**12 assuming t is positive. t**(-54/65) Simplify ((j/(j/(j/j**17)))**(-5/2))**(-5) assuming j is positive. j**(-200) Simplify (i**(8/3)*i**(3/23))/(i**16)**34 assumin
{ "pile_set_name": "DM Mathematics" }
at is the common denominator of -67/458 and 1 - (-20 + (-28)/7)? 458 Suppose -s = -2*n + 35 - 255, -2*s + 447 = 3*n. What is the least common multiple of 14 and s? 1554 Suppose o + 5*g = -0*g + 22, 5*o = -2*g + 18. Suppose 0 = -0*i - i + o. Find the common denominator of 31/10 and i/(-9) + 3028/(-144). 20 Calculate the common denominator of 19/35 and (-220)/(-50)*6/4. 35 Suppose 19*k = 18*k + 42. Calculate the lowest common multiple of k and 14. 42 Let l(y) = -256*y**2 - 6. Let c be l(-4). Let v = c + 57539/14. What is the common denominator of v and -25/7? 14 What is the lowest common multiple of 75/4 + 69/(-92) and 118? 1062 What is the common denominator of -65/34 and 1/9*-1 - 4760/306? 102 Find the common denominator of -1*(-5)/(-5)*35/22 and -79/76. 836 Suppose -23*j + 1302 = 198. What is the common denominator of 9/14 and j? 14 Find the common denominator of 49/80 and (-1)/28 + 22/(-77). 560 Let o be 5/(-2)*28/(-5). Let p = 19 + o. Calculate the least common multiple of 10 and ((-18)/(-10))/(p/220). 60 Let o be (9/(-2))/(6/(-36)). Suppose o = 4*h - 9. Calculate the smallest common multiple of h and 2. 18 Let u(t) = -t - 7. Let s be u(-10). Suppose 2*b + 2*m - 210 = -3*b, -25 = -b + s*m. What is the least common multiple of 32 and b? 160 Let x(g) = -2*g**2 + 15*g - 10. Let a be x(6). Suppose 5*o - 22 = a. Calculate the smallest common multiple of 17 and o. 102 Let h(p) = -4*p - 7. Let d be h(-2). Calculate the least common multiple of d + (-4)/(-5) + 17/85 and 5. 10 What is the common denominator of 11/2 + (-7)/((-392)/16) and -51/2? 14 Let f be (56/4*-1)/(-2). What is the lowest common multiple of 2 and 36*(7/3)/f? 12 Let r = 5939/1432 - 4/179. What is the common denominator of (-111)/3*3/30 and r? 40 Suppose -2*c - 4 + 12 = 0. What is the common denominator of (0 - 40/(-9)) + (-15)/90 and (-1)/c - (-251)/(-12)? 18 Calculate the common denominator of -145/12 and -14 + 8 + (-17)/(-18). 36 What is the common denominator of (-192)/(-80)*((-9)/7 + 2) and (66/(-10) - -1)/((-10)/25)? 7 Let u be (3/423)/(2/18159194). Let x = 64394 - u. Let a = 4993/5358 - x. Calculate the common denominator of 109/6 and a. 114 Let i = 66 - 51. Suppose -m = u - i, 0*u + m + 5 = u. Calculate the lowest common multiple of u and 10. 10 Let b(c) = 13*c**2 + 2*c - 1. Let d = -31 + 32. What is the smallest common multiple of b(d) and 27/6*2/3? 42 Let t = -100 - -256. What is the least common multiple of t and 4? 156 Let c be (-3)/(-2)*14/1. Let k = c + -12. Suppose -4*m + 12 = 4*j, -2*m = j + 2*j - 7. What is the least common multiple of k and j? 9 Suppose -7*m - 40 = -11*m. Find the common denominator of (21/m - 2)*-21 and ((-5)/3)/(8/(-33)). 40 Suppose -5*s = -7*s + 12. Let n(o) = o**2 - 7*o + 12. What is the lowest common multiple of n(s) and 2? 6 Let a = 784321/1182930 - 60/5633. What is the common denominator of 121/60 and a? 420 Let i(a) = -5*a**2 - 69*a + 16. Calculate the least common multiple of 14 and i(-14). 14 Suppose -5*y + 1800 = 10*y. What is the least common multiple of 30 and y? 120 Suppose 12*i + 5 = 11*i. Calculate the smallest common multiple of 233*i/(-35) + (-2)/7 and 3. 33 Let l = 7713 - 424229/55. Find the common denominator of l and -40/11. 55 Suppose 10*p = 1378 + 422. What is the smallest common multiple of 14 and p? 1260 Let v(o) be the third derivative of -7*o**4/6 - 3*o**2. Let b be v(-1). Suppose -b = 5*c - 118. Calculate the least common multiple of c and 28. 252 Find the common denominator of -83/162 and (-12 - (-495)/44)/((-18)/(-76)). 162 Calculate the common denominator of (-1 - 8) + 8442/900 and 89/60. 300 Let p = 73 + -174. What is the common denominator of 18/5 and 2 + (p/(-10) - 3)? 10 Let a = 497899/6 - 83180. Let u = a - -9487/48. Find the common denominator of 3/6 - (-87)/(-4) and u. 16 Suppose 0 = 5*l - 5*i - 885, 4*l + 2*i - 315 = 387. Suppose c - 9*c + l = 0. Let h(o) = o + 9. Calculate the least common multiple of c and h(-6). 66 Suppose 5*w - w - 16 = 0. Suppose -2*m - k - 4 = 2, k + 10 = -4*m. What is the lowest common multiple of (m/5)/(w/(-80)) and 3? 24 Let m = -88/263 + 25873/8942. Let q = 1746 + -15785/9. What is the common denominator of m and q? 306 Let t(j) be the third derivative of -j**4/8 - j**3/3 - 3*j**2. Let b be t(-2). Suppose 22 = -b*s + 86. What is the lowest common multiple of 2 and s? 16 Let c = -2260 - -2284. What is the least common multiple of c and 33 - 2 - (-1)/1? 96 Let b = -13 + 21. Suppose -5*o + b = -o. What is the common denominator of 119/12 and 314/40 + (0 - o)? 60 Suppose -3*j + 54 = -0*j. Let l(z) = 13*z**2 + 1. Let g(u) = 2*u + 27. Let x be g(-14). What is the least common multiple of l(x) and j? 126 Let a = 71150357729 + -117398095202603/1650. Let s = a + -362/275. Let q = -2993 - s. What is the common denominator of q and -74/3? 6 Suppose 4*b - 4 + 12 = 0. Let y be 135/10 - (-3)/b. Suppose y = -5*f + 52. What is the lowest common multiple of 5 and f? 40 Let y = 30 + -32. Calculate the lowest common multiple of y + 25/2 + (-7)/(-14) and 1. 11 Suppose 5*r = 5*j + 150, -2*r = -j - 86 + 28. What is the lowest common multiple of 36 and r? 252 Suppose -5*y + 5*m - 4*m = 18560, 5*m + 18590 = -5*y. Let a = -37051/10 - y. Find the common denominator of a and -4 + 2 + 21/98. 70 Let y be 8/36 + 1407428/288 + -2. Let f = -4897 + y. Find the common denominator of -87/22 and f. 88 Let p = -2498 - -2514. Calculate the smallest common multiple of 6 and p. 48 Let o be 30/(-42) + (-2)/7. Let s(j) = -2*j**2 + 14*j - 20. What is the smallest common multiple of s(3) and (-1)/(o/2) + 16? 36 Suppose 113*s - 1974 - 3676 = 0. What is the least common multiple of 305 and s? 3050 Suppose a - 9451 = 5*x, x - a + 1891 = -0*a. Find the common denominator of 73/14 and 5595/x + (-3)/7. 126 Let l = -17 - -21. Let m(u) = 8*u - u**3 + 6 + 5*u**2 + 5*u**3 - 3*u**3 + l*u**2. What is the lowest common multiple of m(-8) and 16? 48 Let r be (5 + -4)*-1*(1 - -13). What is the smallest common multiple of 22 and 48/28 - (-2)/r*-2? 22 Let k be 4/(-5)*12940/(-8). Let h = 1/9382 + -379981/93820. What is the common denominator of k/208 - 38/(-247) and h? 40 What is the common denominator of (-1070)/(-132)*246/820 and 6/9 - 151/(-12)? 44 Calculate the common denominator of (-661)/(-180) + (-4)/18 and (-4 - -1)*(-238)/(-252). 60 Suppose 0*y - 3*y = -3. Suppose 0 = 2*j - g - 42, 3*g + 34 = 2*j - 4. What is the smallest common multiple of j and y/2 - 44/(-8)? 66 Let q = 10199/1110 + -4/185. Find the common denominator of (-20 - -35)/(45/(-35)) and q. 6 Let u(l) = -2*l - 6. Let v be u(-5). Suppose 6*a + 7 - 7 = 0. Suppose a*x = -v*x + 4. What is the lowest common multiple of x and 3? 3 Let t = 326 + -324. Suppose -x + 2*u = -12, 2*x - 4*x = -2*u - 22. Suppose x + 12 = i. Calculate the least common multiple of t and i. 22 Let w = 5949 - 588902/99. Find the common denominator of 52/9 and w. 99 Let y = -8 - -12. Let j be (1/(-77))/(y/(-1948)). Let k = j + -90/11. What is the common denominator of k and 31/8? 56 Suppose 5*x = 4*c + 1 + 13, x - 2*c + 2 = 0. Calculate the smallest common multiple of 96 and x. 96 Suppose 13*h = 146 + 49. Calculate the lowest common multiple of 87 and h. 435 Suppose z - 18 = -0*z. Let j be ((-9)/12)/(3/84). Calculate the lowest common multiple of (-77)/j - (-1)/3 and z. 36 Let h = 66 - 58. Calculate the common denominator of (1476/162)/(h/(-3)) and 89/18. 36 Let w = 34 - 84. Let k = w + 52. Calculate the smallest common multiple of k and 17. 34 Let d be -1*4/(-8)*2. Let k = 17 - d. Calculate the common denominator of -51/40 and (-4)/k - (-708)/(-16). 40 Suppose 0 = -3*c + 2*c - l + 115, -4*c + 5*l = -424. What is the smallest common multiple of c and 7? 777 Suppose -3 = 3*v + 2*b - 5, 0 = b - 1. Suppose o + 0*o + 11 = v. Let n = 3 - o. What is the least common multiple of 20 and n? 140 Let j be (36/54702)/((-10)/(-3)). Let n = 238041/70910 + j. What is the common denominator of n and 5/4? 28 Let r(l) = l**3 - 8*l**2 + 26*l + 20. Calculate the lowest common multiple of 22 and r(6). 1144 Suppose -15*z = -17*z - 104. Let b = z - -54. Let i = 87 + -61. Calculate the lowest common multiple of i and b. 26 Suppose 2*z - 30 = 2*w, 2*z = 5*z - 2*w - 40. Calculate the lowest common multiple of 5 and z. 10 Let a be
{ "pile_set_name": "DM Mathematics" }
235. Let u = 138 - q. Solve -10 + u = k for k. -3 Let r be (399/14 + -6)*(-72)/(-60). Solve 78 = -r*u + 14*u for u. -6 Let c(f) = 12*f + 4. Suppose 3*a + a = 52. Let r be a/(-26) + 6/4. Let v be c(r). Solve 0*g = -4*g - v for g. -4 Let m(j) = -j**3 + 17*j**2 + 4*j - 24. Let x be m(17). Suppose -9*b - 2*b + x = 0. Solve 2*p + 6 = b*p for p. 3 Let b be (-72)/(-9) - -3 - 8. Suppose -m + 4 = 0, 3*w + b*m - 16 = 2. Solve -21 = w*l - 9*l for l. 3 Let a = 201 - 176. Suppose 22*i - a*i + 12 = 0. Solve -5*s + 14 = i for s. 2 Let i be (5 - -1) + 147 + -6. Let o = i - 118. Solve o*x = 25*x for x. 0 Suppose -t + i = 2, 5*t - 894*i - 18 = -896*i. Let z = 2 - 1. Let y = z - -1. Solve 4 + y = -t*c for c. -3 Let b(f) = -f**3 - 2*f**2 - f - 23. Let p be b(-4). Let m(q) = -q + 24. Let l be m(p). Solve -l*n + 2*n + 27 = 0 for n. 3 Let p(q) = 14*q - 89. Let a be p(6). Let j be -130*(-1)/(-25)*a. Solve j*c + 12 = 23*c for c. -4 Let n(j) be the third derivative of j**5/30 - j**4/8 - 7*j**3/2 + 4*j**2 - 17*j. Let g be n(-3). Solve -g = -5*r - r for r. 1 Suppose -274 = 46*m - 826. Solve -6*o = m*o + 90 for o. -5 Let r(t) be the second derivative of -t**4/3 - 13*t**3/6 + 3*t**2/2 - 33*t. Let j be r(-3). Let s be 2 - (0 + -2 + j)/2. Solve s = -l + 2 - 7 for l. -5 Let m(u) = 19*u - 1617. Let c be m(86). Solve c*p = 184 - 269 for p. -5 Let r(v) = v**2 + 4*v - 140. Let c be r(10). Suppose -4*t = -8, 3*t + c*t - 14 = -2*l. Solve -8*d = -20 - l for d. 3 Let l(s) = -36*s + 83. Suppose -15*k - 3*u - 1 = -11*k, 0 = -2*k + 2*u + 10. Let z be l(k). Solve -4*p + z*p = 14 for p. 2 Let s be (3 - (5 + 5/(-1)))*12. Let n be 0/(-2)*s/(-108). Solve n = -0*v - 5*v - 5 for v. -1 Let n be ((94 - 4) + -5)/1. Suppose 2*f = -15*f + n. Suppose -5 + 20 = f*p. Solve 4*s - 5 = p*s for s. 5 Let x(s) = 19*s**2 - 7*s - 2. Let c be x(5). Let q be (-5)/20 - c/8. Let a = -51 - q. Solve a*p - 8 = 6*p for p. -4 Let p be -2 + 7/((-21)/(-15)). Suppose -12 = -3*d + g, 5*g + 9 = -3*d + 21. Solve 0 = p*h - 5*h - d for h. -2 Suppose -14*i + 14*i + 17*i = 0. Let m be (18/(-135))/(1/(-40))*3. Solve 51*f - 55*f + m = i for f. 4 Let y be (-2)/3 - 2912/(-273). Solve 787 = y*x + 727 for x. 6 Suppose -237*t = -262*t. Solve t*c - 92 = -23*c for c. 4 Let d(v) = 5*v + 5. Let i be d(-11). Let j = i + 51. Suppose 2*u + 3*h - 3 = 0, 4*h - 5 + j = -3*u. Solve u*t = -4*t - 8 for t. -2 Let y(h) = 38*h + 935. Let m be y(-19). Solve -m*r = -185*r + 252 for r. -9 Let d(w) = w**2 - 10*w + 10. Let i be d(11). Let t = -21 + i. Let y be -14*(2 - 3) - 12. Solve g = -t*g - y for g. -2 Suppose 5*t + 3*t = -512. Let r = 64 + t. Let a be 8/(-5)*(r - 10). Solve -4*g + 0*g = -a for g. 4 Let w be (7 - 116/(-16))*(-104)/(-39). Solve -w*j = -44*j + 24 for j. 4 Let l be ((-816)/(-187))/24 + (-207)/(-11). Solve l*n = 27*n - 40 for n. 5 Suppose 52 = 9*b - 11*b. Let p be (b/36 - (-8)/36)*-2. Let u be (1/(4 + -5))/(p/(-5)). Solve -u = i - 4 for i. -1 Suppose -13*y + 15*y - 96 = -30*y. Solve y*a + 114 = 126 for a. 4 Let u = 5952 - 5938. Solve u*y + 84 = -7*y for y. -4 Let q(n) = n + 4. Let o be q(-2). Suppose 0 = -o*c - 21*c + 46. Solve h = c*h + 4 for h. -4 Suppose 4*y - 28*u = -23*u + 209, 5*u = 5*y - 255. Solve y*s - 352 = 90*s for s. -8 Let z = -2620 + 1840. Let t be (3/2)/((-117)/z). Solve 5*q + 10 + t = 0 for q. -4 Let t be (3304/140 - 16)/((-1)/(-5)). Solve -15 = 43*a - t*a for a. -3 Suppose -k - 9 = -2*a - 0*k, 0 = 3*a - 4*k - 11. Suppose -4*u + 45 = -5*y + 2, 65 = 5*u + a*y. Solve -13*g = -u*g + 2 for g. -2 Let k(d) = -d**2 + 11*d - 26. Let y = -242 - -249. Let g be k(y). Solve -7 = g*v - 5 for v. -1 Let j = 335 - 359. Let m be j*(2/(-6))/1. Solve 4*h + m = 6*h for h. 4 Let m = -25887 - -25887. Solve -3408*j + 3416*j - 40 = m for j. 5 Let p = -816 - -840. Solve 0 = -11*n + 20 + p for n. 4 Let q(w) = -w + 50. Let z be q(35). Suppose 0 = z*i - 20*i + 15. Solve -f - 2 - i = 0 for f. -5 Let j be 2/(-9) + 3310/(-90). Let u = 42 + j. Suppose 0*n + 4*n + 20 = -5*h, n = 4*h - u. Solve h*d + 2*d - 4 = 0 for d. 2 Suppose 0 = -2*f + 9*a - 11*a + 76, -3*f + 5*a = -130. Solve 2 = 14*x - f for x. 3 Let u = -68 - -72. Let v be (-3 - -3)/(4/(-1 + 5)). Let o(m) = m + 33. Let r be o(-13). Solve -p - u*p + r = v for p. 4 Let u = 138 - 8. Suppose -3*j + u = -5*w, -5*w = -4*j + 229 - 54. Let m be (-2)/((-2)/j*3). Solve i + 2*i = m for i. 5 Let z = -37 + 37. Let l be -1*(1 - z) - (-12)/(-4). Let t = l - -6. Solve 4*c + 2 = t*c for c. -1 Let j(d) = -d + 4. Let l be j(2). Let b(o) = -40*o + 8642. Let p be b(216). Solve p*t = 3*t - l*t for t. 0 Suppose 0 = -3*y + 5*j + 1171, 4*y - 2*j = -6*j + 1508. Solve y - 470 = -11*q for q. 8 Suppose 3*r + 15 + 24 = 3*o, 3*o + 3*r - 51 = 0. Solve 0 = 303*p - 300*p - o for p. 5 Let i = 4038 - 4034. Solve 36*a = -i*a + 120 for a. 3 Let w be (-6)/4*(-376)/6. Let r be (1470/(-10) - -9)/((-6)/(-4)). Let s = r + w. Solve -4 = s*n - 0 for n. -2 Let n = 107 + -78. Let s be (21 - 15) + n*2. Solve -x - 67 + s = 0 for x. -3 Suppose 3*b + 139 = 4*d, -d + 0*b + 49 = 4*b. Let h be -2 + 2 + -31 + (-4 - -1). Let j = h + d. Solve j*y = 4*y - 2 for y. 2 Suppose 0 = 5*u + r - 10, -4*u + 5*u + 19 = 4*r. Let n be 2/((14 + 900/(-54))/(1*-4)). Solve -n*z + 2*z - u = 0 for z. -1 Suppose 0 = 13*z + 50 - 193. Let j be ((-4)/12)/(1/(-3)). Solve -j + z = 2*i for i. 5 Let b be ((-1)/(2/(-4)))/(40/3220). Suppose 148*v = b*v. Let f = 1 + 3. Solve -4 = f*m - v for m. -1 Suppose 0 = 2*i + 3*d - 23, -1051*d + 32 = 5*i - 1052*d. Solve i*c = -4*c - 22 for c. -2 Let r = -74 - -79. Suppose -3*b = -k - 2, 5*b = -r*k - 5 + 15. Solve -2*w = k + 5 for w. -3 Let f be (-5)/(324/(-318) + 1). Let g = f + -257. Solve g = -2*m + 6*m for m. 2 Let u be 4/26 + (-280)/364*-18 - 7. Suppose 12 = 2*j - 3*l, l - 2*l = -3*j + 11. Suppose -5*g = -2*g - j. Solve 0 = -3*a + u - g for a. 2 Suppose -135*j = -149*j + 714. Solve -6*p = -j + 81 for p. -5 Let q = -8 - -8. Suppose q = -9*u - 5*u + 14. Let l be (-23)/4 - -6 - (-11)/4. Solve u + 8 = l*b for b. 3 Suppose 16*j = 17*j. Let c be j/(6 + 20/(-5)). Suppose -13*x = 2*x - 30. Solve -2*n - x + 0 = c for n. -1 Suppose 12*d = 9*d + 9. Let a be (6 - 9) + d - -1*5. Solve -a*r + 25 = -10*r for r. -5 Let c be 492/12 - (1 - (-10)/(-2)). Let x be c/99 + (-12)/(-22). Solve -2*r + x = 3 for r. -1 Suppose 0 = h - 3*h + 6. Suppose h*u + 5*x = 6*u + 26, -56 = 5*u - 2*x. Let a be 2*(-3)/u + (-9)/(-6). Solve a*w + 4 = -4 for w. -4 Let d be 27/(-12)*16/(-6). Let a = 1902 - 1890. Solve a = -d*p - 6 for p. -3 Suppose 0 = -24*x + 28*x + 2*r + 6, -3*x - 15 = 5*r. Solve 0 = -9*b - x + 9 for b. 1 Let g(k) = -k**3 + 3*k**2 + 9*k - 6. Let d be g(5). Let o(z) = -3*z - 28. Let q be o(d). Suppose -2*f + f + 21 = 0. Solve 4*r = -f + q for r. -4 Suppose -12*k = 5*k + 6*k - 3749. Solve -k*f = -167*f + 16 for f. 4 Let q be 5*((12 - 20) + 0 + (-219)/(-15)). Solve -q*s = -31*s + 2 for s. -1 Let b be ((-1026)/(-1368))/((-2)/(-32)). Solve b*u + 16*u = -84 for u. -3 Let p be (-2)/8 - 58*(-10)/16. Solve 6*h = -p + 72 for h. 6 Let k be (-104)/24 - 481/(-39). Solve k*j - 20 = 28 for j. 6 Suppose 0 = -3*x - x + 16. Let g be (40/(-5))/x + 6. Let m(q) = 3*q - 9. Let b be m(g). Solve b = -o - 0 for o. -3 Suppose 5*y + 2*o = y + 122, -157 = -4*y + 3*o. Solve 28*g + 42 = y*g for g. 7 Suppose 2*r + 2*n = 22, 110 = 5*r - n + 31. Suppose 8*o + r = 39. Let m(a) = -a + 3. Let y be m(o). Solve t + 2 + 0 = y for t. -2 Suppose -2*y - 68*y - 72*y + 710 = 0. Solve -16 = -y*a + a for a. 4 Let d(x) = x**3 + 5*x**2 + 5*x - 3. Suppose -3 = -h + 7. Suppose -5*j - f - 4 = h, 4*f = 5*j + 19. Let w be d(j). Solve -r - 2 + 5 = w for r. 3 Suppose 3*m + g = -g + 16, m = g + 7. Let n(p) = -p**2 - 6*p + 3. Let b be n(-6). Suppose b + m = 3*y. Solve -y*q = -12 + 3 for q. 3 Let z be (4 + -2)/(-2) - (405 - 7). Let s = z - -399. Solve 13*o - 16*o + 9 = s for o. 3 Let n(v) be the second derivative of v**4/12 + 5*v**3/6 - v**2 + 2*v. Let i be n(-6). Suppose -45 = 23766*j - 23775*j. Solve j*z = i*z for z. 0 Let q(m) be the first derivative of -m**3/3 - 6*m**2 - 27*m - 41. Let g be q(-8). Solve -4 = g*f + 21 for f. -5 Let m be (-26566)/(-592) + 6/16 + (-2)/8. Solve -46*z + m*z - 4 = 0 for z. -4 Let c = -3622 + 3758. Solve 56 = -c*f + 122*f for f. -4 Suppose 0 = -5*g - 25, 0 = n - 4*g - 8 - 20. Solve 17*r
{ "pile_set_name": "DM Mathematics" }
is the value of 2375/1900*(-6)/(-5)? 3/2 What is (((-180)/5)/(-18))/((-4)/(-16))? 8 Evaluate (12/(924/(-143)))/(2/(-14)). 13 153/187*(-4)/18 -2/11 Calculate ((-588)/(-882))/(4/2)*9. 3 (15/20)/((-13)/(468/45)) -3/5 What is the value of 420/(-280)*(-168)/(-18)? -14 Evaluate ((-282)/(-188))/((-2)/(-8)). 6 Evaluate 18/(-9)*((-2)/9)/((-8)/12). -2/3 What is 5/(5/(-54)*(-84)/(1008/24))? 27 Calculate 2/((-1*10/(-15))/((-12)/16)). -9/4 (((-21)/21)/(-2))/(2/(-80)) -20 What is the value of -12*(-9)/((-432)/8)? -2 What is the value of 16/242*14762/5368? 2/11 Calculate ((-9)/18)/((-56)/128). 8/7 Evaluate 2/6*171/304. 3/16 What is (23/2)/(32177/2798)? 1 20/(-1)*(342/(-1197))/(4/(-7)) -10 Calculate ((-120)/(-18))/(174/(-261)). -10 What is the value of (-10504)/39390*(-1)/12? 1/45 Calculate ((-352)/(-132))/(32/(-72)). -6 What is ((104/10)/2)/((11950/250)/239)? 26 What is the value of 1*1/(-2)*(-268)/469? 2/7 Evaluate ((-225)/(-5))/(-5)*(-104)/(-156). -6 Calculate 2/4*(-9590)/6713. -5/7 Evaluate ((-6)/(-384)*8)/((-21)/(-28)). 1/6 (2600/(-6500))/((-44)/10) 1/11 ((-50)/(-5))/(25*2/40) 8 What is ((-18)/(-14))/(21*(-21)/3087)? -9 Calculate ((-16)/32)/(7/182). -13 Evaluate (5/3)/(15850/5706). 3/5 Evaluate 2*(14/(-3))/(-7)*(-171)/12. -19 (20/3)/(((-11120)/288)/139) -24 33/9*63/63 11/3 What is (((-24)/(-660))/((-12)/(-22)))/(2/5)? 1/6 What is the value of (13/(-8424)*-18)/(((-6)/(-2))/12)? 1/9 What is the value of (35/(-14))/((-25)/140)? 14 Calculate (-1*(-15)/20)/((-5)/70*3). -7/2 (-3)/(-18)*8*54/12 6 What is the value of ((-270)/15)/216*108? -9 What is 14/((-1232)/(-165))*(-5)/(-15)? 5/8 What is the value of (-11*(-20)/110)/(5*12/(-330))? -11 Calculate 8/((-64)/30)*(-232)/87. 10 What is the value of ((-13)/(-6))/(16/3552*37)? 13 What is ((-2)/(-69))/((533/13)/123)? 2/23 (291/(-194)*(-12)/(-18))/((-22)/4) 2/11 Evaluate (-644)/(-92)*(-15)/(-21)*3. 15 Evaluate (-77)/(21560/(-1750))*16/5. 20 What is the value of 1*2*14/(-273)*(-14)/(-56)? -1/39 What is the value of (4/14)/(26/(-1001))? -11 What is the value of ((-153)/510)/((-2)/(-20))*19/(-3)? 19 What is 7*(1/2)/((-14)/(-68))? 17 (12*(-10)/(-540))/((-80)/(-36)) 1/10 What is the value of 1974/329*((-6)/(-10))/3? 6/5 What is (4/14)/((24/112)/(-3))? -4 Calculate (12/(-64))/(6/12). -3/8 Calculate (-1836)/306*(-2)/8. 3/2 Calculate (-108)/84*1/12*20. -15/7 Evaluate (-1)/(-1)*(-3)/(-147)*7. 1/7 What is ((-7)/(-168))/(2/12)? 1/4 What is the value of (27/6)/((-90)/(-120)*-2)? -3 What is 6*1/72*2*42/1? 7 Evaluate 140/(-14)*44/3080. -1/7 What is the value of (32/(-1))/(1048/524)? -16 What is 220/(-11)*(-16)/384? 5/6 What is the value of ((-164)/287)/((-2)/(-49))? -14 ((-156)/9)/(40/(-12))*235/47 26 What is the value of 572/(-104)*204/66? -17 Calculate ((-16)/28)/(31/((-35805)/33)). 20 Calculate ((-65)/52)/(31/372). -15 What is the value of (25800/(-175))/86*14/(-4)? 6 What is the value of (-176)/(-1440)*9*(9/(-3))/(-33)? 1/10 Calculate (((-335)/(-201))/(75/12))/(4/(-9)). -3/5 What is ((-52)/2184*63)/(1/(4/(-51)))? 2/17 ((-280)/(-952))/(55/(-44)) -4/17 What is 1/(-28)*6*4? -6/7 Evaluate -4*3/255*(-440)/(-176). -2/17 Evaluate ((-10)/(-10))/(((-2)/(-3))/(430/903)). 5/7 (((-20)/(-220))/((-108)/(-396)))/((-2)/150) -25 Calculate 0*-3*5/30*(-5)/(-10). 0 Evaluate (2/8)/(3*(-6)/936). -13 What is (0/(320/16))/((30/(-5))/3)? 0 (-5)/(85/816*4) -12 What is the value of ((-704)/1056)/((-1)/15)? 10 What is the value of ((-80)/(-100))/((-2)/4)*(-5)/(-1)? -8 What is (18/21)/(12/96*-12)? -4/7 What is the value of (-6)/9*(-315)/(-35)? -6 Calculate (-36*(-22)/2640)/((-24)/380). -19/4 Evaluate 154/(-231)*(-3)/(-8). -1/4 (234/12)/((-66)/(-440)*-5) -26 Evaluate ((-25)/40)/((-91)/728). 5 What is (149/(-6705))/((-2)/(-12))? -2/15 6/4*(-40)/(-90)*-9 -6 Calculate 12/(-1)*(-28)/8*10/(-140). -3 Calculate (((-30)/10)/(20/12))/((-6)/(-40)). -12 ((1677/(-301))/(-13))/(6/14) 1 Calculate (-12)/(-30)*(-1470)/(-308)*11. 21 Evaluate (1*(-1)/4)/((-2)/32*-8). -1/2 What is the value of ((112/8)/(-14))/(7/(-133))? 19 What is the value of ((-4)/(16/30))/6*-8? 10 ((-10)/(-45))/((-74)/(-999))*(-9)/3 -9 Evaluate (6/4)/((-2049)/(-2732)). 2 Calculate 1/14*((-21)/(-28))/((-39)/(-104)). 1/7 Evaluate ((165/9)/(-5))/((-2)/(-66)*11). -11 Evaluate (-120)/(-240)*4/(-2). -1 Evaluate ((-3)/(-6))/((-25)/25). -1/2 Calculate ((-59)/((-2360)/(-20)))/(22/32). -8/11 ((-1656)/(-230))/((-10)/(-25)) 18 (-200)/120*1326/85 -26 3963/5284*128/6 16 Calculate 63/(-6)*(-54)/(-21). -27 (-3*(-160)/48)/(10/(-12)) -12 Calculate (79/(-395))/(8/(-5)). 1/8 What is ((-1520)/6270*(-1)/((-2)/3))/2? -2/11 What is the value of (-2)/(-2)*(-15)/81*-3*6? 10/3 What is 9/84*(-26752)/1254? -16/7 What is (66/12)/(11/((-198)/9))? -11 Evaluate ((-15)/(-7))/(117/819). 15 Evaluate (40/(-190))/1*1/1. -4/19 Evaluate 84/245*(-14)/4*(-10)/42. 2/7 648/81*(-2)/(-60)*1 4/15 What is (((-9)/3)/(-15))/(32/(-80))? -1/2 What is (270/168)/(((-171)/(-456))/((-2)/(-4)))? 15/7 Calculate (-36)/(-10)*4/12*20/108. 2/9 Evaluate 2/(-6)*(-2)/(-3)*(-3348)/124. 6 What is the value of ((-3)/20)/(24/64)? -2/5 What is (-11)/11*3/(3/8)? -8 Calculate (92/(-2)*2)/(40/10). -23 (-20)/2*((-144)/(-63))/((-288)/(-252)) -20 Calculate 49/42*2*(-24)/196. -2/7 What is the value of 34/(-51)*((-312)/(-182))/(6/(-21))? 4 Evaluate (8*25/(-75))/((-1)/(-3)). -8 What is the value of (2/119)/(((-169)/13)/(-91))? 2/17 Evaluate (-10*26/780)/((-4)/(2/(-1))). -1/6 Evaluate (12/435)/((-15)/(-25))*3/(-2). -2/29 Calculate ((-133)/4)/(-140*(-14)/(-2240)). 38 What is ((-15)/(-2))/3*45192/8070? 14 Evaluate ((-16)/3)/4*((-79866)/544)/(-27). -29/4 (15/(-120))/((-14)/448) 4 What is (((-30)/(-70))/(2/(-21)))/((-264)/(-352))? -6 What is (60/21)/(170/(-595))? -10 What is the value of 48/13*(4186/28)/23? 24 What is the value of 1*(254/(-254))/((-2)/(-14))? -7 What is the value of ((-4)/(-24))/((((-24)/8)/(-3))/1)? 1/6 Calculate ((-2)/(-15)*-6)/(8*133/(-140)). 2/19 Evaluate 20/(-8)*(-256)/(-40). -16 Calculate (-84)/150*-5*(-15)/(-36)*3. 7/2 Calculate 108/(-3996)*-4*(-2)/4. -2/37 Calculate ((-28)/4)/(14/(-20)). 10 What is the value of (-2)/10*(-62)/93*1650/(-40)? -11/2 0/(3*5/(-30)*90/15) 0 Evaluate ((10/(-16))/((-55)/22))/(3/84). 7 What is the value of (76/16)/(-19)*64/(-120)*3? 2/5 What is the value of 297/(-1716)*-13*-2*2? -9 What is ((-49)/(-147))/(92/24)? 2/23 What is the value of 12/45*(-280)/336? -2/9 Evaluate ((-2124)/3068)/((-12)/26). 3/2 Calculate 8/(192/45)*(-1)/(12/(-8)). 5/4 What is the value of ((-4530)/(-302))/((-10)/(-16))? 24 63/27*1/((-1)/((-10)/(-35))) -2/3 (-1)/(-2)*-4*(-72)/(-24) -6 Evaluate ((-1742)/(-469))/(2/(-7)). -13 Evaluate (2/(-8))/((-34)/408)*(-5)/1. -15 Evaluate ((-36)/42)/((-459)/(-714)). -4/3 What is the value of 45/(-36)*(-24)/140*-2? -3/7 Evaluate ((-2)/2)/1*(-77)/((-7161)/62). -2/3 Evaluate 11/(506/552)*5/(-3). -20 (-1)/7*(-798)/38*4 12 What is 10/(-70)*(-105)/3? 5 What is (10/(-18))/(((-756)/243)/(-28))? -5 (-26*11/(-2860))/(1*2/(-12)) -3/5 1/(21/((-273)/(-26)))*54 27 104/12*(-171)/(-114) 13 What is the value of ((-1)/(19/1))/((-1944)/(-5832))? -3/19 What is (-28)/(-7)*(306/(-12))/(-17)? 6 Evaluate ((-16)/(-6))/(161/(-483)). -8 What is the value of ((-20)/7)/(1/(-56)*-16)? -10 What is the value of 7/((-33)/((-2376)/126))? 4 -2*((-1)/(-4))/((987/462)/47) -11 What is the value of (1230/328)/(10/48)? 18 Evaluate (((-561)/12)/(-11))/(4/(-16)). -17 What is (-24)/38*21090/(-1665)? 8 (-1)/(2150/225*27/12) -2/43 (-8)/2*(8075/(-304))/25 17/4 (4/(-39))/((-2536)/(-951)) -1/26 What is the value of ((-915)/1281)/((3/((-15)/5))/1)? 5/7 Evaluate (((-63)/(-14))/(-3))/((-966)/(-552)). -6/7 Evaluate 20/(-480)*-40*6/(-5). -2 What is (-18)/105*2*(-4)/(80/70)? 6/5 (-636)/(-1378)*(-1)/(-6) 1/13 What is the value of ((-155)/620)/(((-27)/240)/((-3)/(-4)))? 5/3 What is the value of (21/42)/(((-9)/(-3))/(-48))? -8 Evaluate (-30)/60*3/4*(-96)/(-90). -2/5 Evaluate (6/(-4))/(((-14)/(-21))/(2/9)). -1/2 What is ((752/128)/47)/(-1)? -1/8 Evaluate -2*(-52)/8*-1. -13 (39*(-5)/(-30))/(3/(6/1)) 13 1/(4/15)*26/91*-14 -15 (99/55)/(((-1)/(-40))/((-7)/42)) -12 (960/(-240))/((-4)/3) 3 (1*(-12)/(-2142)*6)/(12/(-14)) -2/51 What is the value of 31/((-2325)/(-2125))*(84/(-10))/(-7)? 34 Evaluate (-14)/(168/(-90))*4/168*7. 5/4 What is (17629/7259)/(2/(-14))? -17 What is (-4)/(-52)*-1*(-18)/
{ "pile_set_name": "DM Mathematics" }
iple of 2 and c(-8). 16 What is the lowest common multiple of 22 and (60/9)/((-2)/(-6))? 220 Let r = -25/51 + -299/153. Suppose 4*f - 76 = o, 2*f - 2*o = -3*f + 92. What is the common denominator of r and 7 + -4 - (-28)/f? 45 Let v(y) = -3*y**2 + 2*y**2 + 3*y + 4 + 0*y. Let u be v(4). Suppose 2*r = -2, -3*n + u*n + 25 = -r. What is the least common multiple of n and 2? 8 Let u = -15 - -11. Find the common denominator of (71/u)/(5/(-2)) and 101/12. 60 Find the common denominator of 5/(-20)*2 - (-303)/54 and 4/11. 99 Let g = -8 + 22. Calculate the common denominator of -87/4 and ((-6)/20)/(1/g). 20 Suppose 0 = 2*d + 5*g + 26, d + 4*g + 7 = 4*d. Let k be (0 - (1 + d)) + 1. Let b = k + -1. Calculate the least common multiple of b and 10. 10 Let y(h) = -h**2 + 11*h - 15. Let n be -3 - (-4 - -2) - -10. Suppose a + 3*a + 13 = 3*j, 5*a = j - 8. Calculate the lowest common multiple of j and y(n). 3 Let w = -12/59 + -837/236. Find the common denominator of 23/8 and w. 8 Suppose 0*m - 5*m = -285. What is the smallest common multiple of m and 3? 57 Suppose 5*q + 0*q - 40 = 0. Suppose 0*f = -4*f - 24. Calculate the common denominator of -13/5 and (86/f)/(q/12). 10 Suppose 0*k = 3*k - 9. Find the common denominator of 39/5 and k - (2 + 16/(-6)). 15 Suppose -10 = 4*m + 5*n + 74, -3*m - 4*n = 63. Find the common denominator of m/(-5)*1/3 and -89/8. 40 Let z(d) = d**2 - d. Let a be z(2). Suppose -a*h + 8 = -0*h. What is the least common multiple of h and 3? 12 Suppose 6 = 5*a - 49. Suppose 3*s + 38 - a = 0. What is the smallest common multiple of (24/s)/((-2)/6) and 2? 8 Let h be (1/(-5))/((-14)/(-791155)). Let w be 0 - (-1*11295 + -2). Let d = w + h. Find the common denominator of d and -3/16. 112 Find the common denominator of 23/8 and 89/(-1 + (6 - 3)). 8 Find the common denominator of 51*3/24 + 1 and (-5)/3*54/(-16). 8 Calculate the common denominator of (236/10)/((-36)/(-30)) and -83/21. 21 Let c(u) = 5*u**2 - 3*u - 6. What is the smallest common multiple of 12 and c(-2)? 60 Suppose -2 = 3*f - 2*f. Let l be ((0 - f)/(-2))/(-431). Let a = l + -22415/1293. Calculate the common denominator of a and 23/7. 21 Let v = -18795/2 + 10000. Suppose 4*c = -3*f - 1803 - 107, -4*f - 2*c - 2550 = 0. Let l = f + v. Find the common denominator of -53/14 and l. 14 Let t = 1279/12 + -338/3. Find the common denominator of -1/4 and t. 12 Suppose -2*f = 3*f - 25. What is the common denominator of -19/2 and f/15 - 831/36? 4 Let o = 34 - -8. Calculate the least common multiple of o and 21. 42 Let a = 56/101 + 3223/2020. What is the common denominator of -115/28 and a? 140 Calculate the common denominator of -2 + ((-1428)/64)/(-7) and (7/(-3))/((-24)/68). 144 Suppose -128 = a - 32. What is the common denominator of 1438/120 - 4/10 and -3 + 4/(a/76)? 12 Suppose 0*a = 3*a - 30. Let c be 9 + (-5 + 0 - -3). Suppose 0 - c = -y. What is the least common multiple of a and y? 70 Find the common denominator of 59/9 and 74/(-27)*(-2)/(-4). 27 Let a = -43/3 + 38. Find the common denominator of a and -11/30. 30 Let p(q) be the second derivative of -q**5/20 - 5*q**4/6 - 11*q**3/6 - q**2 + 4*q. Let f = -1 + 3. What is the lowest common multiple of f and p(-9)? 16 Let u = -5 + 21. What is the least common multiple of (0 - 14/3)/(10/(-30)) and u? 112 Let z = -247463/18 + 13744. Calculate the common denominator of z and -125/18. 18 Let s = 839/154 + -100/11. Let i be 85195/(-24) - 2/(-3). Let r = -3558 - i. Find the common denominator of r and s. 56 Let b be (-8)/4 - 2/(-1). Suppose -5*x - 1 + 11 = b. What is the common denominator of x + 37*3/(-6) and 101/6? 6 What is the common denominator of -42 and (-2 - 16/(-7))/(8/(-236))? 7 Let k = -22 - -37. Let x = 22 - k. Calculate the smallest common multiple of 2 and x. 14 Suppose 6*d - 3*d = -25380. Let j = d + 118501/14. Find the common denominator of j and -5/4. 28 Suppose -f + 2 = -0. Let o(l) = -7*l - 48. Calculate the smallest common multiple of f and o(-7). 2 Let b be 4 + (-2 - 3/(-1)). Suppose -3*w + 10 + b = 0. Calculate the lowest common multiple of w and 5. 5 Let a(z) be the second derivative of z**3/6 + 3*z**2 - 3*z. What is the least common multiple of 8 and a(5)? 88 Let f be (862/(-274))/((-1224)/(-2248)). Let w be -1 + -2 + 41920/13974. Let v = f - w. Find the common denominator of 16/11 and v. 99 Let v(j) = -50*j + 12. Let h be v(11). Calculate the common denominator of 17/18 and 7/(-28) + h/(-24). 18 Find the common denominator of 11/(-66) + (-290)/6 and 63/34. 34 Let k = 44495/18 + -2477. Let z = -1085135/99784 - 2/12473. Find the common denominator of z and k. 72 Let t = -3/1466 - -45479/16126. Calculate the common denominator of -1/4 and t. 44 Suppose 0 = 2*t - 3*t + 3. Let j = 4 - 1. Suppose 4*c + 35 = 2*u + t*u, 14 = 2*u + j*c. Calculate the lowest common multiple of u and 5. 35 Suppose 3*b + 13 = b + 5*o, 4*b - o = 1. What is the smallest common multiple of b*(-4 + 2) - -22 and 14? 140 Let l be ((-4)/7)/((-18)/63). Suppose 2*d = 6*d - 16, l*i = 2*d - 4. What is the lowest common multiple of i and 44? 44 Suppose -4 = q + 4*h - 5, 5 = 5*q + 4*h. Let z(x) = -10*x**3 - 1. Calculate the smallest common multiple of z(-1) and q. 9 Suppose -4 = -2*u, 2*u + 64 = 5*p - u. What is the least common multiple of 80 and p? 560 Let v = -53347527/91 - -586248. Let l = v - 80/13. Calculate the common denominator of l and -47/5. 35 Let a = 1899/1352 - 5/169. What is the common denominator of 5210/1120 + 4/14 and a? 16 Let x = 6367/510 - -4/255. Find the common denominator of x and 13/6. 6 Find the common denominator of 1162/288 - (-12)/(-54) and 85/8. 16 Suppose 0 = 2*q - 3*w - 7, -5 + 19 = 2*q + 4*w. What is the lowest common multiple of 5/3*12/2 and q? 10 Let g = -59 - -68. What is the lowest common multiple of g and 9? 9 Let g(h) = h - 3. Let z be g(7). Suppose -5*u + z*u + 20 = 0. Calculate the smallest common multiple of 10 and u. 20 Suppose -f - 3*b = b - 24, f - 4*b + 8 = 0. What is the lowest common multiple of f and 6? 24 Let k = 61 + -56. Calculate the lowest common multiple of 4 and k. 20 Suppose -4*b - 23 + 7 = 0. Calculate the common denominator of (-2)/6 - (-74)/b and ((-2)/(-8) + 1)*790/25. 6 Calculate the smallest common multiple of 11 and (-1146)/(-57) - (-2)/(-19). 220 Let t = 3/4028 + -191339/12084. Let y be (-12 - -9) + (-1 - -1356). Let w = 5507/4 - y. What is the common denominator of w and t? 12 Suppose -4*p + 8 = -0*p. Find the common denominator of (-224)/12*1/p and 65/4. 12 Let s be (-5388)/(-7) - (-2)/7. What is the common denominator of 69/(-4) - (-1)/1 and (-3)/(-15)*s/24? 12 Suppose 4*h + 5*i + 20 = -h, -4*i = 3*h + 15. Let d = h - -2. Calculate the lowest common multiple of d and (-1)/((-2)/(-1))*-12. 6 Let f(g) = g**2 - 2. Calculate the smallest common multiple of 14 and f(4). 14 Suppose -4*y - 94 - 38 = 0. Let q = -19 - y. Calculate the lowest common multiple of (-5 + 3)*-1 - -4 and q. 42 Let w be -1*(3 - (2 + 1)). Let d(s) = s**2 + 1. Let q be d(-1). Suppose -t + 1 = -2*v + 9, -3*v - q*t + 5 = w. Calculate the lowest common multiple of 7 and v. 21 Let c(a) = a + 10. Let z be c(-7). Suppose 0 = 3*w + 3*m - 15, 0 = w - 6*w - z*m + 15. Suppose w*s + 36 = 3*s. What is the lowest common multiple of s and 1? 12 Let i(q) = 4*q. Let h(o) = 7*o. Let a(c) = 3*h(c) - 5*i(c). Let d = 11 + -7. Calculate the smallest common multiple of a(2) and d. 4 Suppose m + x = 1, 3*m + 3*x + x = 0. Let p = 33 + -18. Suppose 2*h - m*d - p = 3*h, -2*d = 2*h. What is the least common multiple of h and 7? 35 Let h = 19 - 17. Let u(r) = -7*r**3 + 1. What is the least common multiple of u(-1) and h? 8 Let l = -3329/186 - 91/31. What is the common denominator of -25/12 and l? 12 Let v = -1055924/11 + 95920. Let m = -10915837/22 + 496291. Let x = v + m. Calculate the common denominator of x and 1/22. 22 Suppose 36 = x + 3. Calculate the lowest common multiple of x and 24. 264 Let v(i) = -i**3 + 2*i**2 - 1. Let k be v(1). Suppose -l = 3*l - 44. Calculate the lowest common multiple of (-9)/4*(-4 - k) and l. 99 Let b = 11078/5 - 2227. What is the common denominator of b and 63/8? 40 Suppose 30*y = 19*y + 99. Calculate the smallest common multiple of y and 6. 18 Let z(j) = 2*j - 2. Suppose -26 = -7*n + 23. Calculate the least common multiple of z
{ "pile_set_name": "DM Mathematics" }
5. Let b be (-105)/(-10)*6/k. Let y be (-3)/1 + (-196)/b. Solve -y = 4*u + 3*v, -2*v + 5*v = -2*u - 17 for u. -4 Suppose 8 = t + t. Suppose 9*g - 5*g = 0. Let z be g/5*-1 - -2. Solve d + o = -0 - 1, z*d - o - t = 0 for d. 1 Let v(r) = 2*r + 7. Let o be v(-5). Let y be (-1)/(o + 10/4). Suppose -2*n = y*m + 2, 2*n - m = 5*n - 3. Solve 3*g + 23 = -2*w - 2*w, 0 = 4*g + n*w + 24 for g. -5 Suppose -4*l + 3*h + 4 = 0, -2*l + 4*h = 28 - 20. Solve l = 4*f - 3*d, 3*f - 13 - 1 = 5*d for f. -2 Let v(b) = -4*b + 35. Let m be v(11). Let f be (9/(-6))/(m/24). Solve -21 = k - f*h, -6 = -2*h + 2 for k. -5 Let w = -8 - -12. Let a be 4 - ((-1 - -3) + -2)/(-1). Suppose a*f = 4*y + 23 + 9, 12 = -3*y. Solve f*x + 6 = -2*h, 5 = -x + w for h. -1 Suppose 3*c = 12, -2*d - 5 + 29 = 5*c. Suppose d*y = -y + 27. Suppose k + 4 = y. Solve 12 = -2*q + n, -n + 2 = -2*q - k*n for q. -5 Let j be (2 + 1)*(-16 - -17). Solve j*r + 0 = -3*p + 30, 0 = p + 2*r - 15 for p. 5 Let d be 2/(-11) - ((-48)/66)/4. Solve 4*n - 3*p + 14 = d, 4*n = -3*p - 29 + 3 for n. -5 Let r = -7 - -7. Let h(a) = -5*a + 4. Let k be h(r). Solve -2*i = -y + 4*y - 19, -k*y + 14 = -3*i for y. 5 Let b(o) = -2*o**3 - 4*o**2 - o + 2. Let h be b(-2). Suppose 3*n = 3*x, -3*n + h = -x - 0*n. Solve x*l + 16 = 4*d, -l + 13 = -2*l + 3*d for l. 2 Let b = 7 + -2. Let c = 2432 - 2431. Solve n + 0*n + c = 2*h, -10 = -b*h + 4*n for h. -2 Let w be (1 + 3)/1 - (127 - 125). Solve -d + 8 = w*l, -4*l = -4*d - l + 10 for d. 4 Let h(z) = -3*z - 23. Let y(w) = 8*w + 68. Let o(p) = 17*h(p) + 6*y(p). Let m be o(-5). Suppose 8*c - m = 32. Solve -3*t + 5*l = -0*t - 12, 3*l = 2*t - c for t. 4 Suppose -5*v + 20 = 0, j - 6 = -v - 0. Suppose w - 7 = -4*n + 22, j*w = -4*n + 30. Suppose 0 = -2*u + 4*u - 16. Solve 3*g + u = d, -d - n*g = -3*g + 6 for d. 2 Suppose 5 = -4*f + 13. Solve f*w - 3*w - 17 = 5*g, 5 = -4*w + g for w. -2 Suppose 21 = 113*i - 106*i. Suppose -5*b + 20 = -90. Solve r + b = -4*r - m, -m = -i for r. -5 Suppose 24 = 2*c + 4. Suppose -c = -5*l - 0. Suppose -2*a + 15 = 5*r, -r + 16 = 5*a - l*a. Solve -j + r = -4, 3*m + 2*j - 13 = 0 for m. 1 Let q be (2/(-4))/((-1)/4). Let b be -3 - ((-2)/10 - (-10302)/85). Let z = -119 - b. Solve z*n - x = q*x - 17, -5*x = -20 for n. -1 Let d = -63 - -27. Let g be (-96)/d + 1*2/6. Solve 0 = c - 2*c + g*n - 17, -4*c + 5*n = 33 for c. -2 Suppose 176*q + 65 = 181*q. Suppose -3*z - 2*w = -q, -3*z + 14 = z + w. Solve 0 = -3*v + 5*t - 34, -v + 6*v - z*t + 30 = 0 for v. -3 Suppose -g = p + 4, 0 = 7*p - 9*p - g - 4. Suppose w - 2 = 4*r - 7, p = -5*r + 3*w + 15. Solve 0 = -b - k + 1, 3*b + b - 2*k - 10 = r for b. 2 Let f be 78/130 + (-4)/(-10). Solve 0 = 4*p + 4*i - 4, 2*p - i = -11 + f for p. -3 Let g(c) = -c**3 + 5*c**2 + c - 3. Let f(b) = -b**2 + b. Let u(m) = -3*f(m) - g(m). Let t be u(3). Solve 2*k - r - 13 = 0, t*k - 3*r = 4*k - 11 for k. 5 Let q(y) = y - 2. Let i be q(8). Suppose i*g + 0*g - 30 = 0. Solve 3*h = -2*x - x + 21, -23 = -2*x - g*h for x. 4 Suppose -3*o - 18*k = -22*k + 8, 2*k - 4 = 0. Solve 0 = -5*u - 4*t - 6, -u + 3*t - 5 = -o for u. -2 Let w = -86 + 91. Suppose 0 = -2*m + 4, 3 = -w*d + m + 21. Solve -3*p - 10 + 31 = -d*t, 5*p - 3 = -4*t for t. -3 Suppose 86 = 3*t - 2*d, -5*d - 59 = -5*t + 91. Solve -4*a = -2*k + t, 5*a + 25 + 0 = k for k. 5 Let j = -642 - -645. Solve 0*s = -4*y - j*s + 6, 2*y - 8 = -4*s for y. 0 Let z = -50 - -99. Let i = z + -37. Let k(m) = 3*m**3 + m**2 - m. Let c be k(1). Solve 0 = -5*x + n - c, -x + 3*x = -5*n - i for x. -1 Let s(b) = b**3 - 8*b**2 + 9*b - 4. Let i be s(7). Suppose 10 = -8*j + i*j. Solve 0 = -4*m - 5*q, -j*q - 6 + 21 = m for m. -5 Let p = -1046 - -1049. Solve -3*u + 5*f + 24 = 0, 5*u - 3*f - 21 = p for u. 3 Let v = -376 - -378. Solve 0 = 2*l + n - 3*n + v, 4*l + n = -9 for l. -2 Let w = 2602 - 2585. Solve -2*r + 3 - w = -5*v, 0 = -3*v + 2*r + 6 for v. 4 Let k(w) be the first derivative of -w**2/2 + 19*w - 11. Let f be k(16). Solve 3*o + t + 0*t = 7, -o + 19 = -f*t for o. 4 Let y = 3 - 3. Solve y = 2*u + 2*z - 4, -5*z + 6 = 1 for u. 1 Let y = 6 - -4. Let u be (y/(-6) + 2)*6. Let g(i) = 6*i**2 + 8*i + 8. Let p be g(-2). Solve p = -4*b, -4*m - u*b = -3*m + 4 for m. 4 Let u be ((-5427)/207)/(-9) + (-4)/(-46). Suppose 6 - 21 = -z. Solve -o + 3*c - 7*c - 20 = 0, o - u*c = z for o. 0 Let t(y) = 2*y + 21. Let g(f) = -f**2 + 7*f - 11. Let k be g(6). Let z be t(k). Solve i = 2*v - z, -3*v = -0*i - 3*i - 18 for i. -1 Suppose 0 = 5*l - 10. Suppose -7*p = -2*p - l*i - 19, 0 = -4*p + i + 14. Suppose 0*d = 3*d - 12. Solve -p*q - d*c = -q - 14, 3*c = 15 for q. -3 Let g be 4 + -19 + 8 + 28. Solve 0 = -5*j - m - g, 6*m - 16 = 2*m for j. -5 Let h(b) = b**2 - 2*b - 1. Let l be h(3). Let m be ((-1)/l + 0)/(-1)*4. Solve 5*w = 2*v - 10, -3*w - 2 = -0*v - m*v for w. -4 Let w = 9 + -29. Suppose -4*x = h - 2, 5*x + 4*h - 2 = 6. Let l be w/(-15)*(x + 3). Solve 11 = -v - l*n, -3*n + 5*n - 17 = -5*v for v. 5 Suppose -4*k - 2*z + 23 - 17 = 0, -k + z - 3 = 0. Solve k = -g + 3*l - 2 + 1, 6 = 2*g + 2*l for g. 2 Suppose 5*a - 18 - 7 = d, -2*d - 22 = -3*a. Solve -2*t + 3*t - 2 = -m, a*t = 5*m - 28 for t. -2 Suppose 101*u - 95*u - 12 = 0. Solve -m - 16 = 5*q, -5 = 3*q - u*m - 2*m for q. -3 Let v be (2 + -1)*-1 + 3. Suppose -3*m + 16 = -v*o, -3*o + 0*o + 14 = 5*m. Let j be (-2 + (-16)/(-6))*(-45 - -51). Solve t - j = -m*y - 18, -y + 4 = 4*t for y. -4 Suppose z - 10 = 2*i, 0 = -16*z + 14*z - 3*i - 8. Solve f = -0*j + z*j - 5, j - 20 = 4*f for j. 0 Let b(w) = w**3 - 9*w**2 - w + 5. Let y be b(9). Let o be 8*3 + y + -3. Solve 9 = -3*v - 2*q, 0*q = 4*v + q + o for v. -5 Suppose -2 = -5*s + 9*s - 5*b, -4*s = 2*b - 12. Solve s*m - y + 4 = -0*y, 2*y + 4 = 0 for m. -3 Let t be 35/(-2)*(-82)/287 - -12. Let s be 2/(-3*(-3)/18). Solve 16 = 3*b + s*j, -5*j = 4*b - 4*j - t for b. 4 Let b(o) = -5*o + 2. Let x(h) = h**3 + 6*h**2 - 5*h + 8. Let q be x(-7). Let u be b(q). Suppose -15 = 29*i - u*i. Solve 0 = -2*m + 3 + 3, m + 22 = i*r for r. 5 Suppose 5*m = 4*m + 5. Suppose 67*g = 64*g + 57. Solve g = -l + m*a, l = -4*a - 0*a + 8 for l. -4 Suppose -4 = 2*x - 5*j, -2*j = -3 - 1. Solve -5*h + 35 = 2*b - 7*b, -5*h + x*b = -31 for h. 5 Let j = 1991 - 1991. Solve 0 = -4*f - j*f - 3*r + 1, 5*f = -5*r - 5 for f. 4 Suppose -24*v = -116 - 4. Solve -3*k + 3 = -4*r, 5*k = 3*r - 4*r + v for r. 0 Suppose 111 = 4*u - 4*v + 87, -3*u - 4*v = -11. Solve 12 = -t + 5*b, u*t - 9*t = b + 6 for t. -2 Let y be 7/(0 - 5/(-75)). Let d = 105 - y. Solve -3*p - 3*q - 3 = d, 4*p - 2*p - 2 = -4*q for p. -3 Let n(t) = t**2 + t + 4. Let s be n(-3). Let b(q) = 3*q**3 - 35*q**2 - 13*q + 17. Let v be b(12). Solve 0 = 2*k - 2*f, k = v*k + f - s for k. 2 Let o be (-4)/(-28) + (-3960)/35. Let m = o + 117. Solve 2*t + 2*p - m = 0, -5*p + 18 = t - 0*t for t. -2 Suppose -2*b = 10, -3*m - 5*b = -3*b - 29. Suppose 6*v + 13 = m. Solve 2*a - 15 = -a + 3*c, v = a + 5*c + 19 for a. 1 Let p = 331 - 329. Solve -2*j = z + p + 9, -2*j = 4*z + 14 for j. -5 Let z be 2*(-1 + (-3 - -6)). Suppose l + 3*g = 2*l - 5, -2*g = -z. Suppose -3*w - 5*n = 2, -2*w - 5*n + 3 = l. Solve 17 = 4*p + t, p - w*p + 28 = -t for p. 5 Let k = -1 - -3. Let s = 2 + k. Suppose -5*d + 20 = 5*p, 3*d - 2*p - 3*p = -s. Solve -4*i + 16 = -4*m - 0, 0 = -d*m + i - 9 for m. -5 Suppose 0*v - 8 = 2*v. Let i be v/2 + 21/3. Solve -i*q = 2*p - 5*p - 2, 4 = 5*p - q for p. 1 Suppose 2*l - 21 = -o + 23, 5*l = -2*o + 111. Let k = l - 7. Suppose 14*y + 8 = k*y. Solve -2*z + 5*p - 2 = 0, 0 = y*z + 3*p + 2 + 2 for z. -1 Let i = -120 + 123. Suppose -6 - 9 = -i*b - 3*n, -5*n + 25 = -4*b. Solve 2 = -m + 2*l, m - l + 3*l - 2 = b for m. 0 Suppose 19*j - 93 = -17. Let z be (2/(-3))/((-10)/45). Solve z*q = 2*m + 10, -2*q = -7*q - j*m - 20 for q. 0 Suppose 6*m - 26 = -7*m. Solve -m*q - 4*t = 12, 3*t + t = 4*q for q. -2 Let a be (-3)/(-1) + (16 - 35) + 17. Solve -3*k - a = -2*d, -3*k - 2 = -d - 0*k for d. -1 Let s = 9 + -17. Let t = 5 + s. Let x = t + 5. Solve 0 = u + 3*k - 3, 5*u - x*k - 17 + 2 = 0 for u. 3 Suppose 141 = g - 2*m + 3*m, -m = 3. Let x = 147 - g. Solve 5*n + 11 = -3*r, -x*r + 8 = -1 for n. -4 Suppose -193*z + 197*z - 172 = 0. Suppose -4*d = -0*c + 3*c - z, 0 = -5*c - 2*d + 67. Suppose 0 = o - 5 - 0. Solve -o*v = 3*h + 36 - c, -13 = 5*h + 2*v for h. -1 Let d = -906 + 910. Let g(s) = -3*s
{ "pile_set_name": "DM Mathematics" }
is the tens digit of a? 3 Suppose a = -a + 480. Suppose 2*x - 41 = 9. Suppose -4*y + 310 = 2*h, 5*h + a + x = 3*y. What is the tens digit of y? 8 What is the tens digit of (17/5)/((-6)/(-30180))? 0 Let h(v) = -v**3 + v**2 + 2*v + 486. Let p be h(0). Suppose 3*u - 21 - p = 0. What is the units digit of u? 9 Let a(i) = -i**2 - 10*i + 12. Let o be a(-11). Let w be (1 + o)/((-11)/(-22)). Suppose -10*c + w*c = -468. What is the tens digit of c? 7 Let s = -89 - -91. Suppose 640 = 3*i + s*z - 0*z, 4*z - 638 = -3*i. What is the units digit of i? 4 Let l = -230 - -250. What is the units digit of ((-456)/l)/((-24)/540)? 3 Let y = 10610 - 5106. What is the units digit of y? 4 Let w(t) = -3*t**2 + 18*t - 47*t + t**3 - 3 - 4 + 22*t. Let h be w(5). What is the units digit of 154/h - (-3)/(-12)? 9 Let q(z) be the first derivative of -25*z**2/2 - 49*z - 14. What is the hundreds digit of q(-43)? 0 Let b = 79703 + -11734. What is the ten thousands digit of b? 6 Let x = 339 - 339. Suppose -b = -4, x = -4*h - 5*b + 1624 + 156. What is the units digit of h? 0 Suppose 9*j + 4*x = 4*j - 380, 2*x + 310 = -4*j. Let r = 210 + j. What is the units digit of r? 0 Let g(m) = -154*m + 3. Let q(r) = 2*r + 19. Let f be q(-10). What is the hundreds digit of g(f)? 1 Suppose 0 = -4*h + 3*l + 15, l = -8*h + 3*h - 5. Suppose -9*k + 11*k - 734 = h. What is the units digit of k? 7 Let n(x) = 41*x**2 - 14*x - 14. Suppose 9*j - 20*j - 22 = 0. What is the tens digit of n(j)? 7 Suppose -1 = -4*b + 11. What is the hundreds digit of b/(-6) - 1875/(-6)? 3 Suppose 50*f - 8759 = 40*f + 25391. What is the hundreds digit of f? 4 Let i(j) = -j**2 + 35*j - 97. Let f be i(3). What is the units digit of (-451 + (4 - f))/(-1)? 6 Let l = 6 - 4. Let z(t) = 11*t**2 + 6*t + 2. Let q(p) = 3*p. Let o(n) = -3*q(n) + z(n). What is the tens digit of o(l)? 4 Let n(w) = w**2 + 17*w - 26. Let r be n(-20). Suppose 0 = 5*i + r - 439. What is the units digit of i? 1 What is the ten thousands digit of (600/16)/75 + 23141/2? 1 Let v = 1238 - 685. Let z = v - -290. What is the tens digit of z? 4 Let w(d) = -d**3 - d**2 + 6*d + 5. Let z = 22 - 25. Let r be w(z). What is the units digit of 3/(-15) + 891/r? 8 Let x(z) = 7*z**3 + 59*z**2 + 64*z - 199. Let i(k) = 4*k**3 + 30*k**2 + 33*k - 100. Let g(d) = -5*i(d) + 3*x(d). What is the hundreds digit of g(-25)? 4 Let j(q) = 49*q + 9748. What is the hundreds digit of j(29)? 1 Suppose -127*j = -20*j - 1287852. What is the thousands digit of j? 2 Let k(y) = y**3 + 27*y**2 - 19*y - 77. Let o be k(-13). Suppose 2*s + o = 2*g, 4*g - s - 5120 = -57. What is the hundreds digit of g? 2 Let y(x) = -x**2 - 13*x + 66. Let r(w) = -2*w**2 - 26*w + 132. Let g(o) = -3*r(o) + 5*y(o). What is the units digit of g(-21)? 2 Let r = -2821 + 4388. What is the units digit of r? 7 Let i(h) be the third derivative of -h**5/30 + 5*h**4/6 - 7*h**3/2 + 3*h**2 - 5. What is the units digit of i(8)? 1 Suppose 21*c + 4278 = 20*c + 5*g, 8563 = -2*c + 3*g. Let n = -2898 - c. What is the thousands digit of n? 1 Let z = 1023 - 269. What is the hundreds digit of z? 7 Let n = 14591 - 5328. What is the thousands digit of n? 9 Let i(n) = -2*n**3 + 46*n**2 + 3*n - 8. What is the hundreds digit of i(7)? 5 Let k = -413 - -650. What is the hundreds digit of k? 2 Suppose 171*h - 24 = 179*h. What is the units digit of ((-1)/2 - 1)*134/h? 7 Suppose -s - 8*n + 25554 = 7751, 5*n = -4*s + 71023. What is the thousands digit of s? 7 Let h be ((-4)/8)/(3*1/204). Let y(z) = z**2 + 14*z + 32. What is the hundreds digit of y(h)? 7 Let d(n) = 39*n**3 - 8*n**2 - 82*n + 598. What is the ten thousands digit of d(7)? 1 Let v(m) = -8*m - 102. Let l be v(-13). What is the units digit of (-6 - -289) + -2 + l? 3 Suppose 49*w - 47971 = 38*w. What is the thousands digit of w? 4 Suppose -5*i - 15 - 10 = 0. Let a(p) = -42*p + 49. What is the hundreds digit of a(i)? 2 Let v = 31 + -22. Suppose -v*t + 615 = -1068. Let i = -25 + t. What is the hundreds digit of i? 1 Suppose -12*g = -11*g - 1, -11 = 4*s - 3*g. What is the hundreds digit of 151 + s + 3 + (-5 - -6)? 1 Let m = -42 - -75. Suppose 5*t - 2*f = -140, 5*t = -3*f - 107 - m. Let w = 2 - t. What is the tens digit of w? 3 Let q(y) = 3*y**2 - 39*y + 458. What is the units digit of q(34)? 0 Let b(r) = -3*r + 4*r + r**2 + 264 - 292. What is the tens digit of b(-7)? 1 Suppose 5*h = -4*h + 18. Let s be (-5*4/(-60))/(h/24). Suppose -x + 237 = s*x - 2*u, 0 = 2*x + 2*u - 92. What is the units digit of x? 7 Let n(l) = l**2 - 23*l + 84. Let u be n(19). Let b(z) be the second derivative of z**5/20 - 2*z**4/3 + 3*z**3/2 - z**2/2 - z. What is the tens digit of b(u)? 7 What is the hundreds digit of 2*(-36158)/(-8) + ((-407)/22)/37? 0 Suppose 5*n + 5*g = 13847 + 66368, 3*g + 16019 = n. What is the tens digit of n? 3 Let c = 59189 - 41010. What is the ten thousands digit of c? 1 Let q be 4 + 2*2/(-4). Suppose -29*g + 30*g = q. Suppose 2*r - 4*v - v - 428 = 0, g*r + 3*v = 642. What is the hundreds digit of r? 2 Let r = -56377 - -88497. What is the units digit of r? 0 Suppose -15*i - 25800 = 19*i - 42*i. What is the hundreds digit of i? 2 Suppose -u = 3*n - 83, -3*u + 231 = -4*n + 47. Let g = -15 + u. What is the units digit of g? 3 Let x = 70 + -75. Let k be -1*2/x + 83/5. Suppose 10*w - k*w = -651. What is the tens digit of w? 9 Let h(v) = v**3 - v**2 - 24*v + 25. Let p be h(10). Let a = -266 + p. What is the hundreds digit of a? 4 What is the tens digit of (-8)/(-18) + -5*(-25518)/270? 7 Suppose 0 = 3*r - 8*r - 25, 4*f = -2*r - 50. Let b = -3 - f. Suppose 0*w - b*w = -175. What is the tens digit of w? 2 Let c = 81272 - 44555. What is the thousands digit of c? 6 Suppose -29 + 14 = -3*h. Suppose 67 = -f + 5*s - 82, -h*s = -2*f - 318. Let c = 345 + f. What is the units digit of c? 6 Let d = 28 + -24. Let h be (-7 - -9)/((-1)/d). Let r(z) = z**3 + 9*z**2 + 4*z + 2. What is the units digit of r(h)? 4 What is the tens digit of (-4 + 664/(-12))*-30? 8 Let x = 11457 - 469. What is the ten thousands digit of x? 1 Let l be 8/((-32)/(-9836)) + (-5)/1. Suppose 2*g = 5*g - 9, -3*d + l = g. What is the hundreds digit of d? 8 Let l be 4*(7 - (3 + 1)). Suppose -5*g = 16*f - l*f - 2257, -2*f + 1148 = -4*g. What is the hundreds digit of f? 5 Suppose -25 = -3*b + 5*n, 5*b + 5*n = -14 - 11. Suppose b = -4*r + 6*r - 618. What is the tens digit of r? 0 Let g be (-8)/6*6/(-4). What is the units digit of (g + (-42)/9)*(-1218)/8? 6 Suppose -3*q - 12*h + 12965 = -7*h, -q + h + 4311 = 0. What is the thousands digit of q? 4 What is the hundreds digit of ((-4)/5 + (-24084)/180)*-15? 0 Let z = -16039 - -30233. What is the thousands digit of z? 4 Suppose 0 = d - 3*m - 31463, 4*d - d = -5*m + 94473. What is the units digit of d? 1 Suppose 0 + 128 = 4*y. Suppose 5*j = 3 + y. Let s = j + 4. What is the tens digit of s? 1 Let y be -8 + -446 + -10 + 2. Let d be (-3 + 2)*(181 - 0). Let x = d - y. What is the tens digit of x? 8 Let x(h) be the second derivative of -31*h**4/12 + h**3/3 - h**2 - 6*h. Let a be x(1). What is the units digit of 2 + (-5 - -3) - a? 1 Suppose 143*b + 49150 = 153*b. What is the hundreds digit of b? 9 Let u = -37546 + 54246. What is the tens digit of u? 0 What is the tens digit of 8/(-14)*(-71065 - -120)? 4 Let g = 22023 - 8951. What is the ten thousands digit of g? 1 Let v = 6903 - 3593. What is the thousands digit of v? 3 Let y(h) = h**3 - 13*h**2 - 23*h - 12. Let q be y(23). Let w = q - 3307. Suppose 428 + w = 10*j. What is the tens digit of j? 8 Suppose s + 997 = 2*x, 4*x - x = 3. Let t = s + 1112. What is the hundreds digit of t? 1 Let l(n) = -32*n**3 - 61*n**2 - 16*n + 23. What is the tens digit of l(-9)? 5 Suppose -4*j = -9*j + 375. Let k = j + 14. Suppose 2*p = 25 + k. What is the tens digit of p? 5 Let m be 226/8 + 19/(-76). Suppose m = 4*o + 96. Let a(n) = 2*n**2 + 25*n + 10. What is the tens digit of a(o)? 6 Suppose -8*v + 162 = 18. Let d be 3/v*34 + 2/6. Suppose -100 = -d*c + 116. What is the units digit of c? 6 Let s = 3318 + -2986. What is the units digit of s? 2 Let x(w) = 5*w**2 + 4*w**2 + 10*w**2 + 3 - 22*w**2 - w + 107*w**3. What is the tens digit of x(1)? 0 Let x be (-4)/6 + (-957)/(-99). Suppose -4*y + 3*c + 1156 = 0, x*c - 12*c = 3*y - 867. What is the units digit of y? 9 Suppose 0 = r - 4*g +
{ "pile_set_name": "DM Mathematics" }
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x). x**2*(x - 2)**2*(x + 1)/3 Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0. 0, 1 Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2. 3*y**2*(y + 1)**3/5 Let j(v) = -v**2 - v + 1. Let u(n) = 5*n**2 + 5*n - 2. Let s = -16 - -18. Let c(y) = s*j(y) + u(y). Factor c(a). 3*a*(a + 1) Let f be 26/8 + (-7)/28. Let -f*u**2 + 9*u + 6 + 4*u**2 - 3*u**2 + 5*u**2 = 0. Calculate u. -2, -1 Let u be (((-14)/(-1))/(-2))/(-1). Let d be u/14 + (-77)/(-6). Let 16/3*v**3 + 17/3*v - 2/3 - d*v**2 = 0. Calculate v. 1/4, 2 Let u(a) be the second derivative of 0*a**2 + 1/135*a**6 - 6*a + 0 + 0*a**4 + 1/90*a**5 + 0*a**3. Factor u(p). 2*p**3*(p + 1)/9 Solve -109*y + 59*y + y**2 + 54*y = 0. -4, 0 Let r be 6/(-4)*12/(-54). Let j(c) be the first derivative of -r*c**3 - 1/4*c**4 + 1/10*c**5 + 1/4*c**2 + 1/2*c + 1/12*c**6 - 2. Factor j(s). (s - 1)**2*(s + 1)**3/2 Factor 15*q - 3*q - 5*q**2 + q**2. -4*q*(q - 3) Let u = -4 + 6. Let t(o) be the second derivative of 1/6*o**u - 1/126*o**7 + 0 - 5/18*o**3 - 1/6*o**5 + o + 5/18*o**4 + 1/18*o**6. Factor t(c). -(c - 1)**5/3 Let i(m) be the first derivative of m**4/22 + 2*m**3/33 - 2*m**2/11 - 3. Factor i(l). 2*l*(l - 1)*(l + 2)/11 Let z = -1 + 5. Factor -3*t**3 + 5*t**3 + 2*t**z + t**4 - 3*t**2 - 6*t + 4*t**3. 3*t*(t - 1)*(t + 1)*(t + 2) Let t(a) = 5*a**2 - 24*a + 39. Let g(x) = 10*x**2 - 47*x + 77. Let w(y) = 6*g(y) - 13*t(y). Suppose w(f) = 0. Calculate f. 3 Let y(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 9. Factor y(x). (x - 2)*(x + 1) Let n(m) be the third derivative of -m**5/150 - 3*m**2. Factor n(t). -2*t**2/5 Let f(o) = 2*o**2 - 3*o. Let s be f(2). Find d such that 0 + 0*d + 2/3*d**4 - 4/3*d**3 + 2/3*d**s = 0. 0, 1 Let f(n) be the third derivative of 0*n**3 - 2/5*n**4 + 8*n**2 + 0*n - 1/200*n**6 + 0 + 2/25*n**5. Factor f(y). -3*y*(y - 4)**2/5 Suppose 1/2*q**2 + 0*q - 1/2 = 0. Calculate q. -1, 1 Let m(u) = u**3 + u. Let v(y) = -12*y**3 - 10*y. Suppose 0 = z + 4*z + 10. Let o be (1 - -1)/(z/(-2)). Let j(k) = o*v(k) + 22*m(k). Factor j(x). -2*x*(x - 1)*(x + 1) Let b(u) be the third derivative of u**6/360 - u**5/45 + 5*u**4/72 - u**3/9 + u**2. What is q in b(q) = 0? 1, 2 Let u be (-11)/(-4) - (-6)/24. Let a(s) be the first derivative of -1/6*s**4 - 1/3*s + 2 - 2/3*s**2 - 5/9*s**u. Find b, given that a(b) = 0. -1, -1/2 Let o(s) be the third derivative of s**6/180 - s**5/30 + s**4/12 + s**3/2 + 4*s**2. Let k(h) be the first derivative of o(h). Determine r so that k(r) = 0. 1 Factor 10*z**2 + 5*z**4 - 5*z**3 - 9*z**2 - z**4. z**2*(z - 1)*(4*z - 1) Let r(t) = -t - 6. Let u(w) = 2*w - 2. Let m be u(-3). Let v be r(m). Factor -4 - 10*c - 2*c**3 - 3*c**2 + 0 - 5*c**v. -2*(c + 1)**2*(c + 2) Let s(g) = -g**3 - g**2 + g - 1. Let w(o) = 7*o**3 - o**2 - 7*o + 19. Let y(c) = -18*s(c) - 2*w(c). Factor y(u). 4*(u - 1)*(u + 1)*(u + 5) Suppose 0 = 2*v + 2*v. Suppose -5 + v = -x. Solve -4*b**2 + x*b**4 - 4*b**4 - 2 - 3*b**4 + 8*b**2 = 0. -1, 1 Factor -t**4 + 4*t - 5*t**4 - 4*t**3 + 4*t**4 + 2 + 0*t**4. -2*(t - 1)*(t + 1)**3 Factor 5*i + 0 - 5/2*i**2. -5*i*(i - 2)/2 Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3. 3*f*(f - 1)*(f + 1)**2 Let y(o) be the first derivative of o**3/3 + o**2/3 - o/3 + 2. Factor y(r). (r + 1)*(3*r - 1)/3 Let t(s) = -4*s**5 - 2*s**2 - 2*s - 2. Let g(y) = 9*y**5 + y**4 + y**3 + 4*y**2 + 5*y + 5. Let q(z) = 2*g(z) + 5*t(z). Solve q(i) = 0 for i. -1, 0, 1 Let l be (-3 - -3)/2*1. Let r be (-16)/(-168)*(-28)/(-6). Factor 2/9*u**2 + 0 - r*u**3 + 2/9*u**4 + l*u. 2*u**2*(u - 1)**2/9 Let b be (-4 - 24/(-6))/(3 + -1). Suppose -1/3*o**3 + 1/3*o**2 + 0*o + b = 0. What is o? 0, 1 Let k(p) be the third derivative of p**6/90 - p**5/45 - p**4/18 + 2*p**3/9 + 5*p**2. Find t, given that k(t) = 0. -1, 1 Let i(x) = -2*x**5 - 2*x**4 - 22*x**3 - 22*x**2 - 6. Let p(q) = q**5 + 3*q**4 + 23*q**3 + 21*q**2 + 5. Let c(t) = 5*i(t) + 6*p(t). Find m, given that c(m) = 0. -1, 0, 4 Let f(t) be the third derivative of t**2 - 1/120*t**5 - 1/720*t**6 - 1/3*t**3 - 1/48*t**4 + 0 + 0*t. Let v(y) be the first derivative of f(y). Factor v(i). -(i + 1)**2/2 Suppose -78 = -12*m - m. Factor -m*u**3 + 9/2*u + 3/2 + 0*u**2. -3*(u - 1)*(2*u + 1)**2/2 Let i(f) = f**4 - f**3 - f**2 - f - 1. Let k(r) = 3*r**5 + 3*r + 3. Let x(z) = 3*i(z) + k(z). Factor x(d). 3*d**2*(d - 1)*(d + 1)**2 Suppose -106*z + 35*z + 213 = 0. What is i in 2/5*i + 8/5 + 6/5*i**4 - 14/5*i**2 - 2/5*i**z = 0? -1, 1, 4/3 Let l = 11 - 9. Let g(b) be the second derivative of -l*b + 0*b**2 + 1/30*b**4 - 1/50*b**5 + 0*b**3 + 0. Factor g(r). -2*r**2*(r - 1)/5 Let f(m) be the first derivative of -m**6/1980 - m**5/330 - m**4/132 - 5*m**3/3 - 5. Let i(l) be the third derivative of f(l). Factor i(t). -2*(t + 1)**2/11 Let q(p) be the first derivative of p**5/80 - p**4/12 + 5*p**3/24 - p**2/4 - 2*p - 3. Let a(l) be the first derivative of q(l). Suppose a(r) = 0. What is r? 1, 2 Let r = -189 + 191. Determine f, given that 9/2 - 6*f + 3/2*f**r = 0. 1, 3 Let j(k) be the third derivative of k**6/480 + 7*k**5/240 + k**4/12 - 2*k**3/3 - 59*k**2. Factor j(g). (g - 1)*(g + 4)**2/4 Let c(d) be the second derivative of -1/15*d**4 + 0 - 1/15*d**3 + 0*d**2 - 1/50*d**5 + 3*d. Factor c(b). -2*b*(b + 1)**2/5 Let v(l) = -l**2 + 2*l + 1. Let u(t) = -t**2 + 3*t + 1. Let a(j) = 2*u(j) - 3*v(j). Solve a(r) = 0. -1, 1 Let c be (1/3)/((-3)/(-36)). Let a(m) = c*m - 3 - 4*m**3 - 2*m**2 + 7 + 1 + 6*m**2. Let u(o) = -o**3 + 1. Let w(z) = -a(z) + 5*u(z). What is h in w(h) = 0? -2, 0 Factor -3*q + 1 + 3*q**2 + 3*q**3 - 3*q**4 - 1 + 0. -3*q*(q - 1)**2*(q + 1) Suppose 34*r - 12 = 30*r. Determine u, given that 2*u + 1/2*u**r + 2*u**2 + 0 = 0. -2, 0 Let t(j) = -j**3 - 6*j**2 - j - 3. Let h be t(-6). What is r in 1/3*r**2 + 0 - 1/3*r**5 - r**h + r**4 + 0*r = 0? 0, 1 Let y = -788 + 790. Factor 0 + 0*j + 0*j**y + 2/5*j**3 - 1/5*j**4. -j**3*(j - 2)/5 Let r(k) = 2*k**3 + 4*k**2 - 2*k - 4. Let b be r(-2). Find m, given that 2/7*m + 0 - 4/7*m**2 + 4/7*m**4 + b*m**3 - 2/7*m**5 = 0. -1, 0, 1 Suppose 5*m + 3*i - 143 + 56 = 0, -1 = m - 4*i. Suppose -m = -9*l + 4*l. Suppose -1/4*j**4 + 0 - 1/2*j**l - 1/4*j**2 + 0*j = 0. Calculate j. -1, 0 Let v(l) = -12*l**3 + 2*l - 10. Let a(u) = 6*u**3 + 1. Let s(z) = -z**3. Let p(m) = a(m) + 5*s(m). Let j(r) = 10*p(r) + v(r). What is d in j(d) = 0? -1, 0, 1 Factor -5 - 7*i + 4*i**2 + 16*i - 7*i**2 - 1. -3*(i - 2)*(i - 1) Let j(z) be the first derivative of 2*z**6/27 - 2*z**5/15 + z**4/18 + 9. Factor j(y). 2*y**3*(y - 1)*(2*y - 1)/9 Let i(v) be the third derivative of -1/3*v**3 + 1/60*v**5 - 1/24*v**4 + 0*v - 4*v**2 + 0. Factor i(n). (n - 2)*(n + 1) Let d(w) be the first derivative of -w**6/600 + w**5/100 - w**4/40 + w**3/3 - 4. Let l(g) be the third derivative of d(g). Suppose l(a) = 0. What is a? 1 Let h(n) be the third derivative of -n**9/37800 + n**8/8400 - n**7/6300 + n**4/6 + 3*n**2. Let c(i) be the second derivative of h(i). Factor c(l). -2*l**2*(l - 1)**2/5 Let j(g) be the second derivative of -1/3*g**3 + 0 + 0*g**2 + 1/5*g**5 + 1/6*g**4 - g. Factor j(h). 2*h*(h + 1)*(2*h - 1) Suppose 4*g - 2*g + 4 = 0. Let b be (10/(-4))/(g - 0). Suppose 0 - 3/4*p**4 - 1/4*p + b*p**3 - p**5 + 3/4*p**2 = 0. Calculate p. -1, 0, 1/4, 1 Let h(x) be the first derivative of 3*x**4/20 - x**3 + 9*x**2/10 + 27*x/5 - 12. Factor h(g). 3*(g - 3)**2*(g + 1)/5 Factor 9/4*n - 1 - 3/2*n**2 + 1/4*n**3. (n - 4)*(n - 1)**2/4 Let h(g) be the first derivative of -g**8/84 - 4*g**7/105 - g**6/30 - g**2 - 2. Let m(o) be the second derivative of h(o). Factor m(l). -4*l**3*(l + 1)**2 Factor 0 + 1/4*v**3 - 1/2*v - 1/4*v**2. v*(v - 2)*(v + 1)/4 Let v(o) be the third derivative of -o**7/210 - 6*o**2. Factor v(p). -p**4 Let o(k) be the second derivative of k**9/68040 + k**8/10080 + k**7/3780 + k**6/3240 - 5*k**4/12 + 6*k. Let p(c) be the third derivative of o(c). Factor p(h). 2*h*(h + 1)**3/9 Let u(n) = -n**2 - 40*n + 200. Let v(j) = 6*j**2 + 200*j - 1000. Let x(g) = 16*u(g) + 3*v(g). Factor x(i). 2*(i - 10)**2 Let t(y) = 5*y**5 + 12*y**4 - 17*y**3 - 17*y**2 + 5*y + 12. Let d(u) = -3*u**5 - 8*u**4 + 11*u**3 + 11*u**2 - 3*u - 8. Let m(z) = -7*d(z) - 5*t(z). Factor m(w). -4*(w - 1)**2*(w + 1)**3 L
{ "pile_set_name": "DM Mathematics" }
c - w - 16. Suppose 4*k - 15 = 3*q, -4*q - c = k - 3*k. Solve k*j - 7 = 2 for j. 3 Suppose y - 6*y = 0. Suppose -3*a + 164 = 4*b, y*b - 232 = -4*a - 2*b. Let h = a - 56. Solve -h*q - 2 - 6 = 0 for q. -2 Let w = -37 + 42. Suppose 0*l - l + 11 = 3*g, -21 = -2*l - w*g. Let x be 15/((-12)/l + 3). Solve b - x = -b for b. 5 Let m = -286 + 288. Suppose -4*x + 23 = -3*s + 4*s, m*s - 5*x = -19. Solve 18 = -3*y + s for y. -5 Let c = -1765 - -1886. Solve 4*g = -133 + c for g. -3 Let o = 27 + -10. Let q(f) = -f**2 + 18*f - 15. Let r be q(o). Suppose -3*p + 44 = 5*t, -4*t + 3*t - 4*p + r = 0. Solve 4*g + t = 26 for g. 4 Let s = -19624 - -19714. Solve s*w = -75 + 525 for w. 5 Suppose -3*i = -3*o - 11 - 52, 4*i - 36 = o. Let a be (-174)/464 + (-70)/o. Let n(j) = j**3 + 3*j**2 - 3*j + 1. Let s be n(-3). Solve -2*f - a + s = 0 for f. 3 Let j be (-125)/150 - 2/12. Let d be (-3 - 44/(-4)) + -3 + j. Solve 0 = -4*w + 5*w - d for w. 4 Suppose -a + 2 = -0*a. Let g(d) = 56*d + 504. Let y be g(-9). Solve y = -a*w - 8 + 2 for w. -3 Let a be (-82)/(-123) - (-2)/(-3) - -267. Solve -a*p = -269*p + 4 for p. 2 Let q be (-3)/6*(-6 - -2). Let i be 3 + 6 - -1 - (-6 - (-7 + -1)). Solve 10*y - q - i = 0 for y. 1 Let j(y) = y**2 + 8*y + 19. Let g be j(-5). Suppose -692 = 7*q - 797. Solve g*n = 9*n + q for n. -3 Suppose -15*b - 105 + 1305 = 0. Solve 219 + 101 = b*x for x. 4 Let c(x) = -4*x - 12*x**2 + 1 + 7*x + 9*x + 13*x**2. Let p be c(-12). Let n be (-9)/((-36)/32)*p. Solve n = -s - 3*s for s. -2 Let r = 24 - 27. Let y be (-44)/(-2) + (1 + -1)/r. Suppose 0 = -2*h + y - 6. Solve -f + h = 3*f for f. 2 Let v = -26 + 20. Let x = v + 10. Suppose -x*p + 78 = 2*p. Solve -5*w - 7 = p for w. -4 Let x = -87 + -211. Let s = -266 - x. Solve 7*j = -j + s for j. 4 Suppose 5*x - 2*n + 6 = -0, 2*x + n = 3. Suppose -2*c = -4*r + 40 + 16, 0 = -3*r. Let a = -25 - c. Solve x = -a*k - 0*k + 6 for k. 2 Let y be (4/5)/((-2)/(-10)). Suppose -4*b - 13 + 13 = 0. Let z be 4*(27/(-6))/(-6 - b). Solve -y*s = 1 + z for s. -1 Let d be (-10 + 4)*1/(8/(-12)). Solve -d*u - 19 = 17 for u. -4 Let m be -1 + 1 + (-26 - -11). Let i be 2/(-5) + (-2 - 936/m). Let c = i - 60. Solve t - 3*t + 6 = c for t. 3 Suppose 30 = 5*r + 10*r. Suppose -7*a - r = -30. Solve 3 = -a*k + 5*k for k. 3 Let j = 106 - 70. Let a = -36 + j. Suppose a = -5*o + 3*o + 4*r - 8, -5*r = -10. Solve o = -4*f + 7 + 1 for f. 2 Let z(l) = l**2 - 14*l - 15. Let p be z(15). Let j be (p - -8) + 0/9. Suppose 5*t = -5*d + 10, j = 5*t - 2*d + 6*d. Solve t = -b + 7 - 3 for b. 4 Suppose 4*l + s - 708 = 0, -562 = -5*l + 4*s + 302. Solve l = -10*d + 126 for d. -5 Let s be 30/12 + 855/114. Solve -42 + 32 = s*d for d. -1 Let m be 12/(-20) + 0 + (-2140)/(-25). Suppose 7*o = -10*o + m. Solve -8 = o*k - 18 for k. 2 Let r be -10*-2*((-24)/(-3) + -7). Solve 5*t + r = 9*t for t. 5 Let y be 360/10 + (2 - 0). Solve -26*j - 12 = -y*j for j. 1 Let y = -2157 - -2157. Solve 12*v - 18 - 42 = y for v. 5 Let o(x) = -x**3 + 16*x**2 - 27*x - 9. Let m be o(14). Let h be (10/(-8))/((-4)/96). Let a be (-40)/6*6/(-4). Solve -m*w = a - h for w. 4 Let x be (0*11/55)/2. Solve x = 91*d - 100*d + 27 for d. 3 Suppose -2*r = -4*r + 4. Suppose 4*h = 2*w + 10, -5*w + 26 = 5*h - 3*w. Let s(u) = -u**3 + 5*u**2 - 4*u. Let x be s(h). Solve c + 3 - r = x for c. -1 Suppose t - 60 + 47 = -5*o, -3*o = -5*t + 233. Solve -t*u + 424 = 123 for u. 7 Let p be (30/9)/(-5*(-3)/315). Let q be (-14)/(-4)*120/p. Solve 9 = -15*s + q*s for s. -1 Let d(j) = -5*j - 4*j + 3*j + 10*j - 38. Let s be d(10). Let c(n) = -3*n + 3. Let p be c(-3). Solve -5*q + s*q + p = 0 for q. 4 Suppose -212301*r + 6524 = -212287*r. Solve -448*z + 72 = -r*z for z. -4 Suppose -4*p - 153 = 5*d, 3*p - 2*d = 3*d - 141. Let m = -39 - p. Solve 4*q = m*q - 3 for q. -3 Let z = -5211 + 5259. Solve 6*y = -2*y + z for y. 6 Let i = 130 + -127. Suppose 2*j + x = 4*j - 3, -3*x + i = 0. Solve -l = -j*l - 5 for l. -5 Let c be 1/(2 - (-738)/(-147) - -3). Let f = c - -49. Suppose 0 = 3*b - f*b - 3. Solve -v = -b - 1 for v. 2 Let z(u) = u**2 - 3*u - 1. Let m be z(4). Suppose -4*h - 14 = -11*h. Solve -h*l = m*l for l. 0 Suppose -6*d = -5*d - 5*m - 13, -2*d = 4*m + 16. Let s be (-4)/6*(-9)/d + 10. Solve 21 + 7 = -s*r for r. -4 Let u(x) = x + 10. Let s be u(0). Let c(k) be the first derivative of -k**3/3 + 4*k**2 + 20*k + 329. Let n be c(s). Solve -1 = -f - n*f for f. 1 Suppose 0 = w + 4*w - 100. Suppose 14*b = 19*b - w. Solve -5 = 5*y - b*y for y. -5 Let g(j) = 11*j**2 + 16*j + 22. Let r(f) = 9*f**2 + 9*f + 24. Let k(n) = 4*g(n) - 5*r(n). Let m = 2 + 15. Let y be k(m). Solve 0 = 3*z + 1 + y for z. -1 Let c(a) = 2*a**3 - 16*a**2 + 137*a - 1094. Let k be c(8). Solve -4*p + 2*p = -k for p. 1 Let g be (-12)/(576/(-176))*12. Solve -112 - 64 = g*h for h. -4 Let o = 962 - 947. Solve o = 205*q - 210*q for q. -3 Let i(w) = -w**3 + 3*w**2 + 64*w - 39. Let z be i(-7). Solve -639 + 636 = z*v for v. -1 Suppose 5*y = -2*t + 19 + 2, 3*y = -2*t + 15. Suppose 0 = -6*d + 11 + 13. Solve y*c - d*c = -1 for c. 1 Suppose 29*j + 43*j - 7830 = 18*j. Solve 32*m - 3*m = j for m. 5 Let o = 773 - 767. Solve -o*y - 189 + 213 = 0 for y. 4 Let y(f) = 7*f + 97. Suppose 5*q = -94 + 34. Let m be y(q). Solve m*g = 12*g for g. 0 Suppose 8*d = 46 + 90. Suppose -77 = -d*c + 10*c. Solve 0 = -9*l + c*l + 10 for l. -5 Let y(b) = -37*b + 1492. Let j be y(37). Solve -109*x = -j*x + 42 for x. 3 Suppose -h + 42 + 23 = 3*x, 4*h - 2*x - 204 = 0. Solve h*f = 44*f for f. 0 Suppose -p - 3 = r - 2*r, 2*r + 3*p = -14. Let g be (0 + 0)*(18/(-12) - r). Solve v = -g - 5 for v. -5 Suppose 5*j = -8*j + 5*o + 8, 0 = 3*o - 3. Solve -25 = -8*t - j for t. 3 Let i = -33 - -43. Let a be -4 + (-5)/5 + i. Let h(c) = 2*c**2 + 2*c + 1. Let v be h(3). Solve 0*j - a*j = v for j. -5 Let u = 14 + -12. Suppose 7015 = -37*c + 7089. Solve 3*z + c = u*z for z. -2 Let t = -4142 - -4158. Solve 0 = -6*m + t*m + 30 for m. -3 Let g(s) = s**3 - 41*s**2 - 85*s - 43. Let z be g(43). Solve 223*m - 228*m - 10 = z for m. -2 Let l = -512 + 525. Suppose 5*c + l = -3*v + 4, -4*c - 12 = 4*v. Solve -u = -c*u + u for u. 0 Suppose -2304 = -65*w + 25*w - 8*w. Solve -w*l = -51*l + 18 for l. 6 Suppose 3*y + 4*g = 114, 0 = 7*y - 6*y - 2*g - 18. Let t = -12 + 14. Solve -t*v = 22 - y for v. 4 Suppose -72 = -18*g + 17*g - v, -11*v = 0. Solve -23*r + 47*r = g for r. 3 Let o(j) = -j**3 + 4*j**2 + 2*j - 1. Let w be o(3). Suppose -u + w = -5*x + 3, 2*x = -u + 18. Suppose 6*r + 4 = u. Solve -8 = r*n - 6*n for n. 2 Suppose -5*z - x = -90, 0 = 5*z + x - 6*x - 90. Let d = z - 16. Suppose 4*a + 2 = -n - 8, 2*n = -d*a - 2. Solve -n*q = -4*q - 2 for q. -1 Let m be 7/(350/(-4))*5*5. Let v be (-436)/(-36) + m/36*2. Solve -3 - v = -3*k for k. 5 Suppose 3*j + z = 138 + 108, -4*j + 2*z + 318 = 0. Solve -36 = -75*c + j*c for c. -6 Let l be (-1)/((-3)/27)*1 - 2. Suppose -y = 2*s + 23, -4*y + l*s - 152 = 3*s. Let j = y - -33. Solve -q - q + 8 = j for q. 4 Let b(u) = 2*u**2 - 3*u + 3. Suppose 9 = -2*n - 5*f + 31, 5*n = 2*f - 3. Let g be b(n). Let j = 98 + -92. Solve x + j = -g*x for x. -2 Let v = 12 - -10. Suppose 0 = -5*m - 2 + v. Solve 4*j - 16 = -m for j. 3 Suppose -77*w + 396 = -55*w. Solve w*z - 24 = 21*z for z. -8 Suppose -82*f = -88*f. Let i(b) = b**2 + 4*b + 5. Let z be i(-5). Solve f = -7*s + z*s + 6 for s. -2 Suppose -101*f - 100*f + 188*f + 676 = 0. Solve -f*z = -55*z + 12 for z. 4 Suppose 0 = k + 3*p + 3, -7*p = 2*k - 3*p + 4. Suppose k*g + 4*g + 17 = -x, 0 = -3*x + 5*g + 34. Solve -i + 0*i + x = 0 for i. 3 Let o(d) = -18*d + 45. Let t be o(2). Suppose 33 = 6*i + t. Solve f = i*f + 6 for f. -2 Let k(j) = 3*j - 14. Let r be k(6). Suppose 2 = -2*d - r*f, 3*d - 3*f + 15 = -d. Let s be d - ((5 - 1) + -12). Solve 3 = -4*b - s for b. -2 Suppose -47*t - 16*t = 0. Let a(f) = 48*f + 16. Let z be a(t). Solve z*k = -k + 17 for k. 1 Suppose 312 = -26*z + 33*z + 32*z. Let h = -7 + 13. Solve -h = z*g + 26 for g. -4 Let o = 1069 - 375. Let n = 707 - o. Solve 0 = -9*d + n*d + 20 for d. -5 Let n(j) = -j**3 - 7*j**2 - 6*j + 8. Let t be n(-6). Suppose -d + 2*m = -9 + 2, 3*d + 2*m - 29 = 0. Solve t*a + 3 = d*a for a. 3 Let q(b) = -3081*b + 22 + 3071*b + 40. Let y be q(6). Solve y*h + 4 = h for h. -4 Suppose 3*u = -5*k - 806, -5*u = -0*u + 10. Let x be (-3)/2*(k/24 + 4). Solve -x*
{ "pile_set_name": "DM Mathematics" }
4/5) assuming d is positive. d**(288/115) Simplify (c**6*(c/(c**(3/4)*c*c*c))/c*(c**5/c)/(c**(2/13)/c))**(-5) assuming c is positive. c**(-1845/52) Simplify (o/o**(-3/2))**15/((o**(3/2)*o)/((o/o**6)/o)) assuming o is positive. o**29 Simplify ((s**(3/8)*s/(s**(1/7)/s))**(2/27))**(-26/5) assuming s is positive. s**(-325/378) Simplify x**(-9)/(x**(-22/3)/x)*x**12/(x*x*x**(2/7)) assuming x is positive. x**(190/21) Simplify ((d**(25/2))**(1/6))**(5/3) assuming d is positive. d**(125/36) Simplify (((i/(i*i*i/(i/(i/(i*((i*i**(-2))/i*i*i)/i*i))*i))*i)/i)/i)**(2/63)*(i*i*(i*i**(2/9))/i)/i**(11/4) assuming i is positive. i**(-47/84) Simplify ((x**(6/11)*x)/(x/x**(7/5)))/(x**5/x**(7/2)) assuming x is positive. x**(49/110) Simplify (s**(-33)/(s*s**(-1/48)))/(s**(1/2)/s*s/(s**(-11)*s)) assuming s is positive. s**(-2135/48) Simplify f*f**(-1/48)*f**15*(f*f**(-17))/((f*f*f**(4/3)*f)/f) assuming f is positive. f**(-161/48) Simplify (t/t**(-5))**(-32)/(t/((t**13*t)/t)*t/t**(3/4)) assuming t is positive. t**(-721/4) Simplify ((d*d**(-1/4))**36*(d**6/d)/(d/(d*d/d**5*d)))**(1/24) assuming d is positive. d**(29/24) Simplify (b**(-2/21)*b**(-1/3))/(b**(-1/3)/b**(1/16)) assuming b is positive. b**(-11/336) Simplify ((t*t**(-4))/t)**(4/11)/(t/t**14*t/t**9) assuming t is positive. t**(215/11) Simplify (h**3*h**(2/15)*h/(h/(h/(h/(h**(-4/5)/h))))*h**(2/9))**(-2/5) assuming h is positive. h**(-28/45) Simplify (p**6/p*p/p**(-4)*((((p/((p/(p**(2/7)*p))/p*p))/p)/p)/p)/(p*p**(-2/15)*p))**(-1/12) assuming p is positive. p**(-337/630) Simplify (y**(-17/5)/(y/(y/y**(3/10))*y))**(-33) assuming y is positive. y**(1551/10) Simplify (m**(-11)*m**(-2/21))/(m**(2/3))**(4/21) assuming m is positive. m**(-101/9) Simplify q**(-2)/(q/(q**(1/8)/q))*(q/(q*q**(-16)/q*q))/(q**(-3/10)/q) assuming q is positive. q**(537/40) Simplify d**(3/7)/d**(-1/11)*(d**(-1/3)/d)**40 assuming d is positive. d**(-12200/231) Simplify (g**(2/21)*g)/g**3*g**11*g**(-12/7) assuming g is positive. g**(155/21) Simplify (w**4*w)**(2/37)/(w**(3/7)/w**30) assuming w is positive. w**(7729/259) Simplify ((k/k**(1/5))/k*k)**(36/5)*k**(8/7)/k*k*(k**(-3)/k)/k assuming k is positive. k**(333/175) Simplify ((z**(1/3)*z*z/((z/z**6)/z))/(z**(-4)*z*z*z/z**(2/7)))**(-50) assuming z is positive. z**(-10100/21) Simplify (((j**(-2/7)/j)/j)**(1/55))**(2/29) assuming j is positive. j**(-32/11165) Simplify (r**(-1/7)/r)**(5/2)/(r/(r**19*r)*r**19) assuming r is positive. r**(-20/7) Simplify ((((m**(-1/12)*m)/m)/(m/m**(-8)*m))/((m*m/((m**(-5)/m*m)/m)*m)/(m/(m**(2/5)*m))))**(-2/17) assuming m is positive. m**(1169/510) Simplify (n**(-2/7))**(-1/19)/(n/n**(-2/27)*n)**(3/37) assuming n is positive. n**(-6782/44289) Simplify ((k*(k*k**14)/k)**(-9))**(-2) assuming k is positive. k**270 Simplify (q**(-4/3)/q)**(8/5)*(q**0*q)/q*(q/(q/(q*q**(-15)/q)))/q assuming q is positive. q**(-296/15) Simplify (a**(-10)/a*a**(1/2))/(a/(a/a**(-1)*a))**(1/30) assuming a is positive. a**(-313/30) Simplify (b*b**(-2/21)*b)/b*b**12*(b*b**17)/(b**15*b) assuming b is positive. b**(313/21) Simplify (((h/(h**(-1)/h))**31)**(-2/3))**(-5/6) assuming h is positive. h**(155/3) Simplify (((w/w**(-10))/(w*w**8*w))**(-22/7))**30 assuming w is positive. w**(-660/7) Simplify (i**(7/6))**11*i**27/(i/(i/(i/i**23))) assuming i is positive. i**(371/6) Simplify ((q/(q/(q*q**(8/3))))/q*q/(q*q**17))/(((q**(11/3)*q)/q)/q**(4/5)) assuming q is positive. q**(-86/5) Simplify (((l/(l*l**3)*l)**20)**(-2/7))**(-21) assuming l is positive. l**(-240) Simplify (f**33*f*f**(32/3)*f)/((f**(-1)/f)/(f*(f/(f/(f*f*f**34)))/f)) assuming f is positive. f**(251/3) Simplify (u/(u*u*u**(-36))*u*(((u*u*u**(4/5)/u)/u)/u)/u)/((u**22*u)/(u/u**(-1/3))) assuming u is positive. u**(197/15) Simplify (y**(-6)*y)**(1/42)*y**(-19/3)*y/(y*y*y**(-12)) assuming y is positive. y**(191/42) Simplify n**27/(n**27*n)*(n*n/(n*n/(n*n/(n/(n/n**(1/5)*n*n*n)))))/(n**(-1/6)*n) assuming n is positive. n**(89/30) Simplify (h/(h**10/h))**(-7/11)*h**19/(h**(-23)/h) assuming h is positive. h**(529/11) Simplify (l**(-10)*l*l*l*(l**(-20)*l)/l)/(l/((l/(l*l/l**8))/l))**(5/14) assuming l is positive. l**(-353/14) Simplify ((t*t*t/(t*t/t**(-2/33)*t*t*t))/(t/(t**(-2)/t)))/(t**(2/5)/(t*t/(t*t/t**(-6/11))*t)) assuming t is positive. t**(-991/165) Simplify (s/s**(-11/4))/(s*s**(-1)*s*s)*(s**(-1/6))**(-23) assuming s is positive. s**(67/12) Simplify j**(-13)/(j*j**(-23))*j/(j*j*j*j/(j*j/j**(2/7)*j)*j)*j*j**(-1/10) assuming j is positive. j**(603/70) Simplify a**10/(a*a*a**(3/10)*a)*a/a**(-2/7)*a*a/a**(-15)*a assuming a is positive. a**(1819/70) Simplify (((t**(-1)/t)**(-40))**(1/7))**(-2/111) assuming t is positive. t**(-160/777) Simplify ((o/(o*(o/(o*o*o**(-1/6)*o))/o)*o)/((o/(o/o**(2/5)))/o)*o**(4/3)*o*o*(o*o/o**(1/9))/o*o)**(-19) assuming o is positive. o**(-16511/90) Simplify (d**(-7)*d)**(-48)*(d**(-2/5))**(-47) assuming d is positive. d**(1534/5) Simplify (p*p**3/p)**(-45)/(p**(-2)*p**(-9)) assuming p is positive. p**(-124) Simplify ((s*s**7)/s*(s*s**(-1/30)*s)/s)/(s/(s*s**(-9)))**(-46) assuming s is positive. s**(12659/30) Simplify d**(3/4)/(d**15*d)*d**(-1/5)*d**(-7) assuming d is positive. d**(-449/20) Simplify (z**27/(z/z**(-9/2)*z))/(z**(-1/13)/(z*(z/(z/((z/(z*z*z*z**(-6/5)))/z)))/z)) assuming z is positive. z**(2441/130) Simplify (d*d/(d*d*d**(2/11)))**(10/17)*(d*d*d**(-3))/(d/d**9) assuming d is positive. d**(1289/187) Simplify ((z*z*z/(z/(z**(5/6)/z)))/(z/(z*z**(-1/13)))*(z**0)**11)**12 assuming z is positive. z**(274/13) Simplify (((h*(h**(1/10)*h)/h)/h*h*h)/h**(2/33))/((h/((h/(h*h/(h/((h/((h**8/h*h)/h))/h*h))))/h))/h*h/(h*(h**(-3/10)*h)/h)) assuming h is positive. h**(1112/165) Simplify (r**(2/3)*r)**(-18)*r**(-9/5)*r*r**9 assuming r is positive. r**(-109/5) Simplify p**(-4/3)*p**(-12/13)*p**(4/7)/p**29 assuming p is positive. p**(-8377/273) Simplify (q**(2/3))**(14/9)/(q**(1/5)/q)**42 assuming q is positive. q**(4676/135) Simplify (b*b/(b/(b*b**(5/3)*b)))/(b/b**(-1/18)*b)*(((b*b*b*b/b**8*b*b)/b)/b)**(-2/127) assuming b is positive. b**(6113/2286) Simplify (k**(-24))**(-16)/(((k**(-7)/k)/k*k*k)/(k*k**(-1/23))) assuming k is positive. k**(9015/23) Simplify (w**(-3/4)*w)**(-1/2)*(w**1*w)**(-27/4) assuming w is positive. w**(-109/8) Simplify (b/(((b*b*b*b*b**(-6)*b)/b)/b))/b**(-1/2)*b*(b**(-6/7)*b)/b*b*b**(3/2) assuming b is positive. b**(50/7) Simplify (d**(-2))**(2/5)*(d/d**(-2))**(-2/63) assuming d is positive. d**(-94/105) Simplify ((m*m**(-1/3)*m*m)**(1/4)/((((m**(-1/4)/m)/m)/m*m)/m)**(-9))**(-3/13) assuming m is positive. m**(343/52) Simplify (a/(a*a/a**3*a))**(-5/7)/(a**(-6)*a*a/(a/(a*a**(5/2)))) assuming a is positive. a**(11/14) Simplify ((z*z**(-3/28)*z)/z**(-2/33))/(z**23/(z*(((z/z**23)/z)/z)/z)) assuming z is positive. z**(-41623/924) Simplify (n*n*n/n**(-4))**(3/13)/((n*n*n**(-18)/n*n)/(n/n**(-1/9))) assuming n is positive. n**(2191/117) Simplify (l/(l*l**(11/2)))/l*l*l**0*(l**16/l)**(-21/8) assuming l is positive. l**(-359/8) Simplify (x**(-3)/x*x)**(-2)/(x/x**(-1/3)*x*x**(-3/8)) assuming x is positive. x**(97/24) Simplify (g*g**(-3)*g**(1/3)*(g**(-2/11)/g)/(g/(g**(1/13)*g)))**(2/9) assuming g is positive. g**(-2378/3861) Simplify (x**(4/3)/x*x*x)/x*x*x**(-12)/x*x**(4/5)*x**(-3/11) assuming x is positive. x**(-1673/165) Simplify (n*(n**11*n)/n)/(n/((n**(-1/5)/n)/n))*((n/((n/(n/(n*(n**(1/3)*n)/n))*n)/n*n))/n)**14 assuming n is positive. n**(-358/15) Simplify ((d/d**(4/11)*d)/(d*d**(-8)*d))/(d**0/d**(1/2)) assuming d is positive. d**(179/22) Simplify ((f/((f/(f*f**0*f*f*f))/f)*f)**47/(f/f**(1/3))**34)**(-2/31) assuming f is positive. f**(-1556/93) Simplify ((l/l**(-1))/l*l)/l**(-2/31)*(l/l**(15/4))/l*l*l/(l/l**(-9)) assuming l is positive. l**(-1201/124) Simplify (b/(b*b**(-4/13))*b)**(3/8)/(b**(1/56)*b*b*b/(b**(-4/17)*b)) assuming b is positive. b**(-2727/1547) Simplify (m**8*m/(m/(m*m*m**8)))/(m**1/m**(-2/11)) assuming m is positive. m**(185/11) Simplify ((m**(-13)/m**(-1/3))**(-5/2))**42 assuming m is positive. m**1330 Simplify t**(-16)/t*t**(-2/31)*t**(1/7)*t*t**(-12)*t assuming t is positive. t**(-5842/217) Simplify f/f**31*f/(((f/(f/(f*f**21)))/f)/f)*(f**(-3/7))**(16/5) assuming f is positive. f**(-1763/35) Simplify (m**(3/13)/(m*m*m*m**(-11/5)/m*m))/((m/m**4)/m**23) assuming m is positive. m**(1653/65) Si
{ "pile_set_name": "DM Mathematics" }
- 60. What is the units digit of 9/u + 8/5? 1 Suppose 0 = -3*z - 5*z + 112. Let k(a) = -6*a + 30. Let b be k(z). Let w = b - -113. What is the units digit of w? 9 Suppose 13*r + 32 = 17*r. What is the units digit of (-2)/(16/(-2650)) + (-10)/r? 0 Let n(l) = -l**3 + 7*l**2 + 25*l - 55. Let j be n(9). Suppose -3287 - 3465 = -j*h. What is the hundreds digit of h? 8 Let x be 7 + (-6 + 2 - 0). Let b(f) = f**3 + 2*f**2 - f - 7. What is the units digit of b(x)? 5 Suppose 405 = 2*h + 5*j, -2*j - 655 = -0*h - 3*h. Suppose 4*a = -51 + h. Let p = a - 16. What is the tens digit of p? 2 What is the tens digit of -2*1*((-1273551)/(-6))/(-19)? 4 Let x(s) = -s**3 + 7*s**2 + 9*s + 2. Let k be (18/(-45))/((-1)/(-40)). Let g be (9 + -8)/((-2)/k). What is the units digit of x(g)? 0 Let h be 200/2*4*(-3)/(-30). Suppose 4*j = -j + h. What is the tens digit of 35 - (j/(-4) - -1)? 3 Suppose 5*v + 5 = 0, 3*o - 4*v - 2349 + 20 = 0. Suppose -5*q - 5*m = -o, -6 = -0*m + 2*m. Let p = q - 32. What is the hundreds digit of p? 1 Suppose 0 = -15*y + 5*y. Suppose -7*p + 13*p - 1026 = y. What is the hundreds digit of p? 1 Let n(o) = 1203*o**2 - 6*o - 4. Let m be n(-1). Suppose m = 4*x - 1099. What is the units digit of x? 6 Let v be (45/(-5) - -6)/(-3). Let f(y) = 388*y**3 - 2*y**2 + y + 2. What is the units digit of f(v)? 9 Suppose -26 = 7*d - 131. Suppose d*y = 6*y + 36. Suppose -2*a - 3*m = -105, m - 225 = -y*a - 2*m. What is the tens digit of a? 6 Let m = 38 - 42. Let f be (-1288)/(-42) + m/(-3). Suppose 29*g - f*g = -3. What is the units digit of g? 1 What is the tens digit of (130 - 11) + (-1)/((-3)/15)? 2 Let i be (-58)/6*3/(-1). Let w(z) = 52*z - 68. Let t be w(8). Suppose -25*m = -i*m + t. What is the tens digit of m? 8 Suppose 0 = -7*n - 39*n + 229080. What is the hundreds digit of n? 9 Suppose -40*u + 8*u = 6*u - 126160. What is the hundreds digit of u? 3 Suppose -67*c + 1099139 = -159941 + 223461. What is the units digit of c? 7 Let y = 21 - 44. Let o = y + -5. Let s = o - -67. What is the units digit of s? 9 Let x be ((-3)/2)/(36/(-2640)). Suppose -2*u + x = 14. Suppose -t + 4*t - u = 0. What is the tens digit of t? 1 Suppose 0 = k - 8*k. Suppose 5*f - 37 = -3*p, k*p + 4*p = 3*f + 1. What is the units digit of f? 5 Let n(l) = 35*l + 6*l - 20*l + 38*l + 7*l + 231. What is the hundreds digit of n(18)? 4 Let q(z) = 3*z + 52. Let u be q(-16). Suppose 4*f = u, 5*f = 3*l + 6*f - 1372. What is the units digit of l? 7 Suppose -25 = -6*u + 3*u - 5*t, 14 = 2*u + 2*t. Suppose 13*l + 2*a + 3020 = 17*l, -u*l + a = -3769. What is the hundreds digit of l? 7 Let l(s) = 6*s + s**2 + 10*s + 9 + 2*s**2 + 0*s**2. Let o be l(-6). Let z(w) = -w**2 + 28*w - 27. What is the units digit of z(o)? 0 Let z(m) = 45*m**2 + 58*m + 3236. What is the ten thousands digit of z(-34)? 5 Let a = -20089 - -35022. What is the units digit of a? 3 What is the units digit of (21308/28)/(10/220)? 2 Let a(u) = 24*u**3 - 2*u**2 + 13*u + 9. Let i(k) = -k**3 - 3*k**2 + 2*k. Let g be i(-3). Let p be a(g). What is the hundreds digit of (-6)/27 - p/27? 1 Suppose 7259 = 3*h + 14*h. What is the hundreds digit of h + 2*(-9 - -6)? 4 Suppose 0 = -6*q - 0 - 24. Let p be (150/(-39) - q) + 1928/(-26). Let j = p + 233. What is the hundreds digit of j? 1 Let t = 19405 - 5918. What is the tens digit of t? 8 What is the thousands digit of 51860*1 - 712/(-178)? 1 Let i(h) = -h**3 + 23*h**2 - 21*h + 20. Suppose -216 = -8*w - 64. Let x be i(w). What is the units digit of 6/(-18) + x/9? 8 Let z = 4 - 0. Let c be (z + -2)*2/4. What is the units digit of -1*(0 + -1)/c? 1 Let a(s) = 3*s**2 - 5*s + 22. Let v(h) = h. Let u(o) = a(o) - 6*v(o). Let n be u(15). Suppose 0 = -9*q + 1025 + n. What is the units digit of q? 3 Let r(a) = a**3 - 15*a**2 + 13*a + 17. Let t be (-96)/(-7) - 14/(-49). Let d be r(t). What is the hundreds digit of d*(-5)/60*-548? 1 Let m be 3125 - ((-28)/2)/(-2). Let y = m - 2091. What is the tens digit of y? 2 Suppose 0 = 102*c - 96*c - 6090. Suppose -4*k + c = -3073. What is the units digit of k? 2 Let i(d) = -d**2 - d - 1. Let y be i(-1). Let c be y/(267/(-1008) + 6/21). What is the units digit of 8/c + (-470)/(-12)? 9 Suppose -27*x = 22*x - 503865 + 146998. What is the thousands digit of x? 7 Suppose 2*o - 87 = -77. Suppose -2*r - 5*t + 4*t + 159 = 0, o = 5*t. Suppose -z + 5*x + r = 0, 2*z - 4*x - x - 143 = 0. What is the tens digit of z? 6 Suppose 167*x = -4*r + 163*x + 12020, -2990 = -r - 4*x. What is the tens digit of r? 1 Let a = -16713 + 19686. What is the hundreds digit of a? 9 Let c(w) = 37*w**2 + 31*w + 601. What is the thousands digit of c(-14)? 7 Let k(w) = -811*w - 8011. What is the thousands digit of k(-25)? 2 Suppose 289 = 6*q + 43. Let s = q + 338. What is the units digit of s? 9 Suppose 20 = 13*l - 19. Suppose 0 = -2*m + 3*x + 542, 432 + 384 = l*m - 3*x. What is the units digit of m? 4 Let o(b) = 66*b**2 - 35*b + 63. What is the thousands digit of o(9)? 5 Let s be 12/5 - (-51)/85. Suppose 2*h = -s*k - 129 + 961, 4*k = 2*h - 818. What is the units digit of h? 3 Suppose -2*i - 218 = -2*u, u - 436 = -3*u + i. Suppose 5*l - 170 = -12*p + 7*p, -4*l + u = -5*p. What is the units digit of l? 1 Let c = -129 + 92. Let q(u) = u**2 + u - 20. Let j be q(-6). Let h = j - c. What is the tens digit of h? 4 Suppose 4*h - 19 = -f, -2*h + 6 = -0*h. Let d be (-357)/(-9) + f/21. What is the tens digit of (-70)/2*d/(-28)? 5 Suppose 1001828 = 42*r + 308702. What is the tens digit of r? 0 Suppose -2757752 = -72*s + 1541482 + 630750. What is the units digit of s? 2 What is the tens digit of (123 - 17)/((15/(-335))/(6/(-4)))? 5 Suppose -3*d + 95286 = -y, -334*y = -4*d - 330*y + 127032. What is the hundreds digit of d? 7 Let v(t) = -9*t + 509. Let q be v(0). Suppose 2269 = 20*x + q. What is the tens digit of x? 8 Let v(i) = i**3 + 5*i**2 + 6*i + 8. Let t be v(-3). Suppose j = 4*c - 2488, -4*c = 6*j - t*j - 2484. What is the units digit of c? 3 Let y = 278 - 179. What is the tens digit of 112*((-75)/(-132) + 18/y)? 8 Let n(y) be the third derivative of -29*y**4/4 - 17*y**3/2 - 3*y**2 - 27*y. What is the hundreds digit of n(-5)? 8 Let i = 145 - 141. Suppose 2*d = 4*m - 438, -d = -i + 3. What is the units digit of m? 0 Suppose -8*q = -26*q + 33516. Suppose 21*o + 4*y = 23*o - 1874, -y - q = -2*o. What is the hundreds digit of o? 9 Let x = -303 + 374. Suppose -19264 = 57*u - x*u. What is the thousands digit of u? 1 Let h(p) = -p**3 + 16*p**2 + 15*p - 39. Let z = 108 - 92. Let y be h(z). Let m = y + -62. What is the tens digit of m? 3 Suppose 2*m + 12*f - 14*f - 24096 = 0, 2*m - 24126 = -4*f. What is the tens digit of m? 5 Let b(w) = -2*w**3 - 21*w**2 - 23*w - 19. Let q be b(-9). Let x(m) = -2*m**3 - 109*m**2 + 31*m + 18. What is the thousands digit of x(q)? 1 Suppose 20*y + 18 - 78 = 0. Suppose -y*a + 2625 = 48. What is the units digit of a? 9 Suppose 8*o - 4*o + 600 = 4*g, 616 = -4*o - 4*g. Suppose c = -4*c + 1135. Let z = o + c. What is the units digit of z? 5 Let h(w) be the second derivative of -3/2*w**4 + 0 - 3*w**2 - 1/3*w**3 - 12*w - 1/20*w**5. What is the units digit of h(-18)? 0 Let l = -142 - -130. Let q(d) be the first derivative of -d**4/4 - 10*d**3/3 + 17*d**2/2 + 6*d + 4. What is the units digit of q(l)? 0 Suppose -128*q + 1273 - 114953 = -142*q. What is the thousands digit of q? 8 Let z(a) = 2*a**3 - 2*a**2 - 4*a - 9. Let q be z(-6). Let o = q + 1028. What is the units digit of o? 9 Suppose 2*v - 3 - 12 = -b, 4*v + 5 = 5*b. Suppose -2*f + v*y = -390 - 529, 2340 = 5*f - 4*y. What is the hundreds digit of f? 4 Let s = 9251 - -530. What is the units digit of s? 1 Suppose 39*w + 27898 - 59452 - 73122 = 0. What is the tens digit of w? 8 Let f(q) = 3*q + 5. Let o be f(0). Let b(u) = u - 8. Let v be b(o). What is the units digit of v + 1 - (-90 - 4)? 2 Let u = -3685 + 6791. What is the tens digit of u? 0 Let q(p) = 2*p**2 - 16*p - 7. Let y be q(10). Let j = -31 + y. What is the tens digit of (935/44)/(j/8)? 8 Suppose -22*o - 15*o + 137760 = 59*o. What is the thousands digit of o? 1 Suppose 18905 + 67335 = 20*o. What is the units digit of o? 2 Let v(f) = -5*f**2 + 43*f - 18. Let r be v(8). Suppose -4*z + r*z = 126. What is the units digit of z? 3 Suppose 8*w = 3*w + 3640. Let o = -191 + w. What is the units digit of
{ "pile_set_name": "DM Mathematics" }
+ 1/(38 + -43). -17 Calculate (-18 + 3718/195)*((-9)/6 + 3). 8/5 (-18)/27*(-3)/(-16)*-2 1/4 What is the value of (4/(-3))/(148/1776)? -16 What is the value of (-15)/(-13) + 20/(-130) - (-354)/590? 8/5 (5 + 4)/1035*(-75 + 77) 2/115 Calculate -34 + 40 - (-86)/(-16). 5/8 What is (-7 - 36)*-1 - (10 - -5)? 28 9216/4224 - (-326)/22 17 What is 55860/(-3591) - (-2)/(-18)*4? -16 What is ((-96)/(-10))/8 + 9 + -10? 1/5 What is the value of (58/14 - 4)*(72 - 74)? -2/7 What is (((-850)/153)/25)/(8/(-18))*26? 13 What is (753/8785)/((-2)/(-30))? 9/7 Calculate (-3 - -1)/((675/50)/((-7)/14)). 2/27 What is the value of (-3)/((-108)/(-13)) - 369/(-3321)? -1/4 (1/(-36)*1)/((-2)/(-6))*-3 1/4 What is the value of (-24)/39*1*((-752)/(-64) + -12)? 2/13 What is the value of 42/105*(-110)/187? -4/17 What is 21/(-56) - (5 - 1092/96)? 6 Evaluate (-46)/(-299) + (-1120)/2548. -2/7 Calculate (-4 - (-45)/10) + (6 - (-65)/10). 13 Calculate -6 + (12*1 - (-7980)/(-1365)). 2/13 (8/7)/((-6)/21*-9) 4/9 What is the value of 67/18 + (-889)/254? 2/9 Calculate (-4)/8*6*(40/(-6) + 4). 8 -24*(-5)/(-2480)*(-8)/6 2/31 Calculate 3340/2004 - 262/150. -2/25 What is the value of ((-21)/2)/((-276)/368)? 14 What is the value of ((-268)/(-1675))/(42/(-15))? -2/35 What is 45/15 + -2 + 11/((-1287)/120)? -1/39 (0 - 3)*(-57)/(-27)*33/11 -19 Calculate -44*(-12)/23232*(1 - -7). 2/11 Calculate -13 + (-4 - -8) + 9/1. 0 Evaluate 300/((-450)/30) + 15. -5 Calculate 20680/(-6204)*(4 - 0 - 1). -10 Calculate (1/(-3))/((-10)/(-150)). -5 -5 - (-3 + 7) - (-7 + 867/(-442)) -1/26 Calculate 1/(-1)*315/(-90). 7/2 Calculate 60/16*(-96)/36. -10 What is the value of (-5)/159*((-25)/625 + (-290)/250)? 2/53 What is 16214/1815 - (-18)/(-2)? -1/15 Evaluate (78/72*8 + -8)/(16/27). 9/8 255/(-18 + 3) - 3*(-8)/12 -15 What is the value of 6*(45/567)/(125/50)? 4/21 (-2 + 110/60)*-186 31 (-2)/17*2/(-3)*1644/1096 2/17 (1632/(-72) + 20)*2/(-136) 2/51 Calculate (-6)/(-585)*1155/(-154). -1/13 ((-792)/165)/((-8)/30) 18 Evaluate 1 - 5 - (-12)/16*(-432)/(-81). 0 (-36)/(-4) + (-27)/((-4455)/(-1425)) 4/11 Calculate (-477)/106 + (-46)/(-4). 7 (-1)/((-66)/648) - (40 + -30) -2/11 What is the value of (-402)/(-16) - (70 - 45)? 1/8 What is the value of (-20 - -39 - 23)*(-6)/(-8)? -3 Evaluate (2 + -3)/(-11*45/(-825)). -5/3 430/(6 + -49) - -2 -8 ((-144)/(-152))/9 - (-861)/(-57) -15 Evaluate ((-350)/875)/(4/90). -9 What is (-9)/3 + ((-58)/(-4))/(27/6)? 2/9 What is the value of (211/(-3798))/((-4)/(-30))*6/(-40)? 1/16 Calculate (-15*(-20)/750)/((-48)/(-10)). 1/12 Evaluate 5/(-10) - 0*((-48)/(-40))/6. -1/2 Calculate 2 + 8 + (-69 + 60 - -21). 22 Calculate ((-3267)/6831)/((-11)/6). 6/23 (-42)/(-14)*((-56)/6)/2 -14 What is the value of -3 + 8 + 1 - (4900/(-63))/(-14)? 4/9 (1*(-32)/14)/(-3 - (-95)/35) 8 Calculate (-5)/(10/(-16))*(4 + (-153)/34). -4 Calculate (-2 + -1)*230/207*-3. 10 Evaluate (-3)/((-9)/(-20))*330/(-220). 10 What is the value of ((-3)/(-4))/(22 + (-20985)/960)? 16/3 What is the value of (-74)/(-11) + 0 - 159/(-583)? 7 What is 4 + (51/6 - 10)? 5/2 (522/(-48) - 5) + 12 + 4 1/8 53/39 - (-2668)/8671 5/3 What is the value of (5 + -1 + 78/12)/(-9)? -7/6 Calculate (5 + -11 - 3/(-1))*(-1 + -2). 9 Evaluate 24 - -1*(-27 + 14) - 15. -4 Evaluate ((-210)/36 + 6)/(48/108). 3/8 (-43848)/2204 + (-4)/38 -20 What is 2/6*-3*(-80 + 67)? 13 2/84*3591/42 - 9/12 9/7 What is the value of (-10)/(-135) - (-5 + 572/(-297))? 7 (14/(-4) + 2)/((-1286)/(-76) - 17) 19 Calculate ((-25543)/356 - -73)/((-1)/4). -5 What is the value of (26/((-624)/18))/3? -1/4 What is the value of ((-192)/(-4896))/(6/68)? 4/9 15*33/(-990) + 53/2 + -2 24 What is 4/(-6)*67/335 + (-22)/10? -7/3 Calculate 12/(-1) - (-2870)/287. -2 Calculate ((-324)/63 + 5)/(-6 + (-108)/(-21)). 1/6 What is the value of (2*(-17)/5)/(46/115)? -17 What is the value of (-13)/((-455)/21)*-15? -9 (3 - 0) + 4011/(-711) + (-8)/(-3) 2/79 What is the value of 3*(-1)/36 + (-9)/(-4) + -2? 1/6 What is (-24)/1008*-18 - 132/14? -9 What is (-16048)/(-952) - 1*17? -1/7 (-12)/336 - (-2 - 89/140) 13/5 What is the value of 32 + 768/448 + ((-24)/(-21))/4? 34 Calculate 20/((-8)/(-16)*-4). -10 (3/(-27))/(((-40)/(-24))/(5/(-3))) 1/9 What is the value of (1 - ((-11)/1 + 0)) + (-1635600)/134850? -4/31 ((-84)/18)/(-7)*(1295/91 - 14) 2/13 What is (192/(-40))/(-8) + (-830)/1300? -1/26 Evaluate 80/(-96) - 285/90. -4 Calculate (2*-8)/(19 + (10 - 28)). -16 What is the value of (275/(-22) + 12)/((-2)/(-4*34))? -34 Evaluate (-2)/(-6)*(16 - 790/50). 1/15 What is the value of ((-96)/60)/(7/(-30) + 6/(-36))? 4 Calculate (18/60)/((-918)/(-136)). 2/45 Evaluate (291/4365)/(13/15). 1/13 What is the value of (4/3)/(-2)*-66*85/2040? 11/6 What is the value of (2/23 + (-7140)/18630)*6/(-8)? 2/9 Evaluate 16 + -22 + 18 + -14. -2 Evaluate (-1)/((-4)/(9/18*-2))*18. -9/2 What is (-2 + 4)/8*(9 + (-675)/99)? 6/11 Calculate ((-312)/96 + 2/4)*-4. 11 Evaluate (3/(-22))/(-51*28/(-2618)). -1/4 Evaluate (-30)/32*4*((-16)/(-18))/4. -5/6 ((-12597)/(-34))/(-57)*-1*2 13 Evaluate -14 + 5 + -6 + 5610/385. -3/7 What is the value of 14/2 + -103 + 80? -16 Evaluate (-1971)/999 - (-3)/(-111). -2 (5/2)/((-270)/(-72) - 4) -10 (-1 + 12/16)/((-1)/4) 1 Calculate ((-60)/75*(-35)/(-42))/(39/(-18)). 4/13 Calculate (-251)/502*(-1 - 3/(-21)). 3/7 Evaluate (4/9)/(-20 + 2 - 55876/(-2061)). 2/41 (-11 - -12)*(-147)/(-3 - 4) 21 31 + 3 - ((-4)/7)/((-108)/1134) 28 What is 11/1 - (-15 + 8 - -2)? 16 Evaluate ((594/96)/11)/(36/24). 3/8 What is the value of (-5 + (-333)/(-74))/(26/(-8))? 2/13 What is the value of 6 - (33 + 825/(-25))? 6 Evaluate -7 + 858/154 + 7/(56/12). 1/14 What is 150/(-126) + -31*30/(-2790)? -6/7 ((-368)/207 + (-8)/(-6))/(4/(-18)) 2 Calculate 6/9 - 658/42 - 3. -18 1312/(-492)*3*2 -16 What is 6/120*28 - (-12)/(-6)? -3/5 (-60)/930 - (-10)/(-2945)*74 -6/19 Evaluate (-77)/(-1320)*30 - (-178)/(-120). 4/15 Calculate 2*1 - 41993/19711. -3/23 (-18)/(-3*(10 - 160/15)) -9 Evaluate (-15 + -27)/(-168) + -1 + 10/4. 7/4 Evaluate ((-44)/40 - 2 - -4)/(-29 + 26). -3/10 Evaluate (-31)/5 - (120/(-45))/((-7)/(-21)). 9/5 Evaluate (15 - (-3 + 17))*-2. -2 What is the value of -8*(-63)/72*(22/(-7) + 0)? -22 Evaluate (-7 + 8)/(1/(-18)) + -2. -20 What is (-7)/(-20)*(-186)/651? -1/10 (-54)/(-6) + -22 + 19 + (-6)/(-1) 12 What is the value of (1 + (-18)/4)/((-89)/356)? 14 What is 6 + (6/(54/(-3)))/((-5)/(-100))? -2/3 What is the value of 4 + -2 + 30 - 19? 13 Evaluate (105/(-30))/((-95)/(-342) - (-2)/9). -7 What is the value of 939/(-5634) + 33/6 + 0? 16/3 (-170)/(-374)*22 - 105/(-7) 25 Evaluate (-102)/1755*13 - (-1)/5. -5/9 What is (-6)/(-33) + (-1974)/5170? -1/5 30/5 + 68*(-5)/50 -4/5 Evaluate (((-54)/45)/(0 + -2))/(5 - 2). 1/5 What is (-16)/352*0 - ((-54)/8)/9? 3/4 What is (-1026)/570 - -2 - (0 - (-56)/5)? -11 What is the value of (6*-1)/(295 - 400)? 2/35 Calculate (9/21)/(184/(-161))*(-116)/6. 29/4 Evaluate (-8 + (1 - -17))*22/(-22). -10 What is the value of (-21)/45 - 20/45*129/(-86)? 1/5 (-22)/42*(-20)/220 1/21 Evaluate (-15)/75*(-70)/(-42). -1/3 Evaluate (23/6 + 27 + -31)/((-2)/8). 2/3 What is ((-32)/(-2) - 17)/((-60)/(-84))? -7/5 What is the value of (24 - 6) + (-16480)/920? 2/23 Evaluate ((-79)/(-395))/((-1)/1). -1/5 What is the value of (-1)/(-1)*-4*5*1/115? -4/23 What is 1390/(-1251) - 2/(-9)? -8/9 What is (-48)/90*(-40 + 208/16) - 12? 12/5 (-21)/(-132)*(-2728)/(-3472) 1/8 What is the value of 1/2*(5 + -31)? -13 Calculate (-882)/(-1008) - 1/(-8). 1 What is the value of (36/(-7))/(-6 - 352/(-56))? -18 What is the value of ((-486)/(-405))/(8/(-30) - (-4)/24)? -12 6/9*-15*(432/(-45) - -10) -4 What is the value of 8299/41688 - (-2)/(-16)? 2/27 Evaluate (6/36)/((-3)/72). -4 What is the value of ((-2)/(-5)*100/(-60))/((-19)/(-3))? -2/19 (102/238)/(0 + (10 - 11)) -3/7 Evaluate (-120)/(-132) + (-12)/(-132). 1 What is ((-400)/500 - (-3)/5)*12? -12/5 What is the value of (14 - 1644/120)/1? 3/10 Calculate (2/65)/((-675)/(-2925)). 2/15 20/16*55/((-144925)/(-248)) 2/17 -1 + 14 + 2015/(-156) + (-1)/(-6) 1/4 ((-6)/(-14))/(420/(-1470))*(-40)/(-3) -20 What is the value of -127 + 134 - (-3 - 202/(-20))? -1/10 ((-330)/(-168) - (-14)/49)*-4 -9 What is (1 + (-16)/14)/((1927/(-123))/47)? 3/7 (2/28)/(((-1635)/(-60))/(-109)) -2/7 Evaluate 16/(-296) - (-26884)/(-17390). -8/5 What is the value of ((-140)/(-315))/(18/
{ "pile_set_name": "DM Mathematics" }
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n. -2 Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x. 120 Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u. -10 Let m be (5/4)/((-2)/(-8)). Suppose -4*f = w + 11, -5*w = 3*f - m*f - 33. What is the second derivative of -7*t**4 - 2*t**w + 7*t**4 + t wrt t? -40*t**3 Let n be (-4)/2 + 3 - (-1 - -2). Let x(b) be the second derivative of 1/6*b**3 + 1/2*b**2 + n + 2*b. What is the derivative of x(i) wrt i? 1 Let r be -1*(2 - 0) - -7. What is the third derivative of -r*j**2 - j**6 - 20*j**5 + 20*j**5 wrt j? -120*j**3 Find the third derivative of -19*h**4 - 6*h**4 - 19*h**2 - 2*h**2 wrt h. -600*h Let w(r) be the first derivative of 10*r**3/3 + 7*r**2/2 - 4. What is the second derivative of w(g) wrt g? 20 Let l(o) = 11*o**2 - 14. Let q(p) = -p**2 - 1. Let g(i) = -l(i) + 5*q(i). Find the first derivative of g(h) wrt h. -32*h Let v(c) = -c**3 + 7*c**2 + 2. Let k be v(7). Differentiate 2*a + k*a + 3 - 5 with respect to a. 4 Let r(d) = d**3 + d**2 - d + 3. Let j be r(0). Find the second derivative of 0*c**3 + 3*c**5 + 2*c**3 - 2*c - 2*c**j wrt c. 60*c**3 Let p be (-3)/(-9) - (-59)/3. What is the second derivative of -36 - 3*r + 16 + p - 8*r**2 wrt r? -16 Let s(a) = -5*a**5 + 2*a**4 + 2*a**3 - 5*a**2 + 2. Let b(m) = m**4 + m**3 + m**2 + 1. Let v(c) = 6*b(c) - 3*s(c). Find the third derivative of v(h) wrt h. 900*h**2 Let g(r) = -4*r**5 - 3*r**4 + 3*r**3 - 3. Let x(u) = 3*u**5 + 4*u**4 - 4*u**3 + u + 4. Let q(j) = -4*g(j) - 3*x(j). What is the second derivative of q(f) wrt f? 140*f**3 Suppose -3*q + 6 = -0. Suppose -q - 1 = -d. Find the first derivative of 0*r**2 + r**d + 0*r**2 + 3 wrt r. 3*r**2 Suppose 2*g = -0*g + h + 13, 0 = -2*g + 2*h + 16. What is the third derivative of -2*p**5 - 2*p**g - 2*p + 2*p + 4*p**2 wrt p? -240*p**2 What is the second derivative of 5*q + 17*q**2 - 3*q**2 - q wrt q? 28 Let h(d) be the second derivative of -d**7/840 - d**6/180 - d**3/3 - 2*d. Let x(n) be the second derivative of h(n). Find the third derivative of x(j) wrt j. -6 Let n(r) be the second derivative of -2*r**7/7 + 3*r**3/2 - 13*r. What is the second derivative of n(j) wrt j? -240*j**3 Suppose 0 = -5*z + 5*d + 5, -2*z + 3*d - 8 = -d. Find the first derivative of 53*r**2 - 53*r**2 + 7*r**3 + z wrt r. 21*r**2 Let v(i) = -2*i**2 - 16*i - 5. Let j(x) = -2*x**2 - 17*x - 6. Let l(d) = -5*j(d) + 6*v(d). What is the second derivative of l(m) wrt m? -4 Let u(l) be the third derivative of -4*l**7/35 + 3*l**5/5 + 27*l**2. What is the third derivative of u(d) wrt d? -576*d Let h(b) = -4*b - 3. Let w(o) = -o**2 - o + 1. Let x(p) = h(p) + w(p). Let g be x(-4). What is the third derivative of 6*n - 6*n + 2*n**5 - n**g wrt n? 120*n**2 Let s(h) = -9*h**4 - 5*h**2 + h + 5. Let y = -8 + 6. Let o(f) = -4*f**4 - 2*f**2 + f + 2. Let j(z) = y*s(z) + 5*o(z). Find the second derivative of j(r) wrt r. -24*r**2 Let y be 98/28 + 1/2. What is the third derivative of -5*w**2 + 5*w**5 - 5*w**4 + 0*w**y + 5*w**4 wrt w? 300*w**2 Let l be ((-3)/4)/(1/(-4)). What is the derivative of v**4 + 0*v**3 + 4*v**4 + 5 + 0*v**l wrt v? 20*v**3 Let z(k) be the second derivative of 0*k**6 + 0 + 5/12*k**4 + 0*k**3 + 0*k**2 + 2/21*k**7 + 0*k**5 - 6*k. What is the third derivative of z(u) wrt u? 240*u**2 Let n = 5 + -3. What is the derivative of 3 - 2*m - n + 0 wrt m? -2 Let g(s) be the second derivative of 7*s**4/6 + 3*s**3 + 23*s. What is the second derivative of g(c) wrt c? 28 Suppose -5*u - 13 = -r, 3*r - 3*u = r + 12. Let g = r + -1. Differentiate -2 + 0 + g*v**4 + 0*v**4 with respect to v. 8*v**3 Find the third derivative of -6*u**2 - 34*u**3 + 15*u**3 - 2*u - 22*u**2 wrt u. -114 Let g = -55 + 58. Let z(h) be the second derivative of h + 1/4*h**4 + 0*h**2 + 0 - 2/3*h**g. Find the second derivative of z(a) wrt a. 6 Suppose -b + 5*v + 27 = -0*b, -2*v - 18 = -4*b. Let p(q) be the second derivative of 0 + q - 1/6*q**3 - q**b. What is the first derivative of p(r) wrt r? -1 Let c(j) be the first derivative of 4*j**2 + 18*j - 13. Differentiate c(a) wrt a. 8 Suppose g + 2*z + 6 = -0*g, 2*g - 3*z - 23 = 0. Let s(i) be the second derivative of 0*i**3 + 0 + 2*i + 1/6*i**g - 1/2*i**2. Differentiate s(b) wrt b. 4*b Let n(c) be the second derivative of -c**7/7 - 5*c**4/12 - 3*c. What is the third derivative of n(a) wrt a? -360*a**2 Let h(a) = -a**4 - a**3 + a. Let l(s) = 57*s**4 + 3*s**3 - 3*s - 33. Let w(r) = 3*h(r) + l(r). Differentiate w(x) with respect to x. 216*x**3 Let l(y) be the second derivative of -y**9/126 + y**5/20 + y**2/2 - y. Let o(d) be the first derivative of l(d). What is the third derivative of o(g) wrt g? -480*g**3 Let g(a) = -12*a**3 + a**2 - 7*a + 7. Let c(y) = -6*y**3 + y**2 - 3*y + 3. Let v(p) = 7*c(p) - 3*g(p). Find the third derivative of v(h) wrt h. -36 Let z(c) be the third derivative of -3*c**2 + 1/105*c**7 + 0 + 1/3*c**3 + 0*c**6 + 0*c**5 + 0*c**4 + 0*c. Differentiate z(p) with respect to p. 8*p**3 Let t = -19 + 18. Let d(q) = 3 + 1 - 6. Let v(g) = -g. Let n(w) = t*d(w) - 2*v(w). Find the first derivative of n(j) wrt j. 2 Let d be -2*(-1 - (-2 + 0)). Let s be d/(-3) + 50/6. What is the third derivative of s - o**5 + 3*o**2 - 9 wrt o? -60*o**2 Suppose d - 2*j + j = 7, -5*d - 3*j = -3. What is the third derivative of 4*b**2 + 2*b**3 - 2*b**d + 0*b**3 - 4*b**4 wrt b? -96*b Suppose -3*o + 2 - 14 = 0. Let d = 2 - o. Find the third derivative of i**6 + i**2 - i**6 + 2*i**d wrt i. 240*i**3 Let g(h) = 14*h**4 - 6. Let n = 25 + -8. Let r(j) = 41*j**4 - 18. Let t(s) = n*g(s) - 6*r(s). What is the first derivative of t(d) wrt d? -32*d**3 Let h(r) = -4*r**2 + 5*r - 16. Let y(c) = 5*c**2 - 5*c + 18. Let l(b) = -2*h(b) - 3*y(b). Find the first derivative of l(q) wrt q. -14*q + 5 Find the third derivative of -7*q**5 + 16*q**2 - 2*q**5 - 9*q**5 wrt q. -1080*q**2 Let c be 40/24 - (-2)/6. Let w(q) be the second derivative of q**2 + 1/3*q**3 + c*q + 0. Differentiate w(y) wrt y. 2 Let j(l) = -l**2 - 2*l. Let z be j(-2). What is the third derivative of 3*u**4 - 3*u**2 + z*u**2 + u**2 wrt u? 72*u Let i(p) = 4*p + 12. Let z(u) = 2*u + 3 + 2*u + 14 - 6. Let d(x) = -6*i(x) + 7*z(x). Differentiate d(c) with respect to c. 4 Let k(g) be the third derivative of g**9/504 - g**6/90 + 7*g**3/6 + 2*g**2. Let m(i) be the first derivative of k(i). Find the third derivative of m(x) wrt x. 360*x**2 Let h(n) = n**4 - 1. Let l(w) = -12*w**4 - 10*w**2 + 4. Let z(m) = -4*h(m) - l(m). What is the third derivative of z(f) wrt f? 192*f Let m(l) be the first derivative of -13*l**6/6 - 5*l**3/3 - 11. Find the third derivative of m(v) wrt v. -780*v**2 Let k be (-30)/4*(-12)/15. Find the second derivative of -r + k*r + r + r - 3*r**2 wrt r. -6 Let i(f) = -f**3 + 6*f**2 + 7*f + 3. Let p be i(7). Let r(b) = -b**3 - 8*b**2 - 7*b + 3. Let k be r(-7). Differentiate -2*y**2 - p*y**2 + k*y**2 + 1 wrt y. -4*y Let x be (-1)/3*(-4)/8. Let q(c) be the second derivative of x*c**4 + 2*c + 1/6*c**3 + 0 + 0*c**2. Find the second derivative of q(g) wrt g. 4 Let o(f) be the second derivative of -f**7/168 - f**6/120 - f**3/6 + 5*f. Let h(p) be the second derivative of o(p). Find the third derivative of h(n) wrt n. -30 Suppose -y + 3 = 1. Find the third derivative of 0*h**5 + 6*h**2 - 7*h**2 - y*h**5 wrt h. -120*h**2 Let s(u) be the second derivative of -17*u**6/30 - 13*u**4/12 + 8*u. What is the third derivative of s(l) wrt l? -408*l Let j(s) be the first derivative of s**6/3 + 3*s**3 - 4. What is the third derivative of j(a) wrt a? 120*a**2 Let y(z) = -z**2 + 5*z + 8. Let p be y(6). Find the second derivative of 4*v**2 + v**3 - 4*v**p - 3*v wrt v. 6*v What is the third derivative of 5*x**6 + 5*x**2 - 7*x**6 - 11*x**6 - 12*x**6 wrt x? -3000*x**3 Let w(l) be the second derivative of -3*l + l**2 + 0*l**3 + 3/20*l**5 + 0 + 0*l**4. Differentiate w(s) wrt s. 9*s**2 Let n(k) = 27*k**4 - 6*k**2 - 17*k + 6. Let s(c) = c**4 - c**2 - c + 1. Let i(h) = n(h) - 6*s(h). Find the second derivative of i(y) wrt y. 252*y**2 Find the first derivative of 5*j**2 - 30 + 32 - 20 + 9*j**2 wrt j. 28*j Let y(l) be the second derivative of 6*l**3 + 3*l**2 - 17*l. Differentiate y(p) with respect to p. 36
{ "pile_set_name": "DM Mathematics" }
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