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+ 73 = -0*m - 7*m + 5*m for m. 4 Solve 0 = -6*x - 27*p + 276, 73*p - 72*p = 4*x - 146 for x. 37 Solve 6*n + 2828 = 5*z + 3287, -2*z - n = 187 for z. -93 Solve 14*b = -b + h - 58, 5*b + 40 = -5*h + 10 for b. -4 Solve 9*d - 537 = 3*l, -d = 5*l - 1560 + 1511 for l. -2 Solve 4*h + 2*t + 0*t - 4*t = -0*t - 38, -43*t = -46*t - 3 for h. -10 Solve 5*l - 10*f - 2976 + 3071 = 0, -2*l - 3*f = -11 for l. -5 Solve -3*s - 217*i - 22 = -215*i - 4, -10*s - 49*i - 60 = -51*i for s. -6 Solve 18*a + 5*q = 23*a + 30, 0 = -7*a + q - 36 - 18 for a. -8 Solve 3*i - 6*i - q = -6, 6*i + 52*q = 10*q + 38 + 94 for i. 1 Solve -3*h - 7001 + 7102 = -o, 3*o - 5*h + 194 = -89 for o. -86 Solve 4*r = 7*r - 132, -355*q - 5*r + 98 = -351*q - 122 for q. 0 Solve -4*n - 195 = -3*n + 5*i, -129 = 697*n - 694*n + 3*i for n. -5 Solve 5*d - 27 = 4*r, r - 10*r + 10*d - 39 = 6*d for r. -3 Solve -3*s - 29*a + 10*a = -17*a + 28, 0 = -2*s - 5*a - 26 for s. -8 Solve 5*g + 0*g + j - 2 = -17, -70*g + 68*g = 2*j + 6 for g. -3 Solve -o + 4402*r + 6 = 4401*r, -30 = -5*o + 6*r for o. 6 Solve -93 = -u + 3404*t - 3402*t, 2*u + 10*t + 302 = -142 for u. 3 Solve -2*j = -9*j + 2*i + 302 - 19, 2*j + 4*i - 22*i = 168 for j. 39 Solve -5*v + 0*v - 230 = 0, -17*m = v - 3 - 2 for m. 3 Solve 35 = 3*g - k, 20 = 4*g + 133*k - 129*k for g. 10 Solve -3*r - 5*z - 4 = 0, 50891*z - 50894*z + 8 = -r + 2 for r. -3 Solve -124*l + u = -127*l + 15, -5 = 2*l - u for l. 2 Solve -3*q - 419 = -5*x - 0*q - 352, 5*q = -126*x - 246 for x. -1 Solve -5089032*l = 5*t - 5089027*l + 60, 2*t - 5*l + 6 - 40 - 19 = 0 for t. -1 Solve -40*q - 42 = 3*y - 46*q, 6*y - 8*y - 4*q = -12 for y. -4 Solve y + 3 = 8196*b - 8194*b, b - 2*y = 6 for b. 0 Solve 5*t = 154*z - 123*z - 377, -4*z - 4*t = -44 for z. 12 Solve s = -2*t - 3*t - 56, 5*t + 456*s + 274*s = -785 for t. -11 Solve f - 2 = -2*u, -5*u = -5*f - 37080 + 37150 for f. 10 Solve 0*z + 5*t = -3*z + 50, -4*z - 3*t + 16 = -20 - 5 for z. 5 Solve -375 + 527 = 4*l - 4*y, -5*y + 190 = 5*l for l. 38 Solve 2*d - 802 = -6*t - 1180, -t - 63 = -5*d for t. -63 Solve -2*c + 7 = i, 4*i = 4*c - 2715 + 2707 for i. 1 Solve q - 2*q + 57*o - 60*o + 91 = 70, -5*q + 40 = 2*o for q. 6 Solve 40 = -12*u - 8, 0 = 183*r - 186*r + 2*u + 2 for r. -2 Solve -1828*z + 1812*z - 298 = -5*f, 0 = 3*f - 6 - 0 for z. -18 Solve -2*p + 16*s - 3 + 9 = 0, 2*s = 3*p - 7*p - 2*s - 60 for p. -13 Solve 0 = -3*f - 3*p + 9, -1916*p = 4*f - 1920*p - 20 for f. 4 Solve 4*f + 2*s + 22479 = 22575, 3*f - 21*s - 27 = 0 for f. 23 Solve n - 4 = -8*x + 5*x, 5*x - 103*n + 101*n + 5 = -3 for x. 0 Solve -13*r + 28616*n - 28612*n - 176 = 0, -43 = -298*r + 301*r - n for r. -4 Solve 4*b + 35*m - 1229 = 0, 104*b - 212*b = -105*b + 4*m - 143 for b. 1 Solve j - 12 - 363 = 5*i - 37, j = 3*i + 202 for i. -68 Solve -3*d + 32 = -4*r, 55*r - 26*r + 3*d = 28*r - 1 + 8 for r. -5 Solve 12*q - 214 = 5*u, -39*u - 17 - 647 = 2*q + 814 for q. 2 Solve -6 = -h + i, -4*i = -13*h - 1982125 + 1982131 for h. -2 Solve 0 = 123291*b - 123286*b + 7*o - 5, -4*o = 0 for b. 1 Solve -13*c = 3*d - 9*c - 9*c + 137, -d + 5*d + 186 = 5*c for d. -49 Solve -2*i + 226 - 83 = -l, -3*i - 2*l = -163 - 62 for i. 73 Solve 0 = -3*a + d - 22, -10*a + 38 = 2*a - 102*d + 35*d for a. -8 Solve d + 4*d = l + 32, 0 = 4*l - 26*d - 1095 + 1229 for l. -27 Solve 64*s + 286 = -2*w - 141 + 37, 3*w = -5*s - 39 for w. -3 Solve -86*v + 82*v + j - 6 = -0*j, -2*v = -5*j + 102 for v. 4 Solve -w + 7*i + i - 7*i = -5*w, 27*w + 2*i - 76 = 0 for w. 4 Solve 19 + 68 = 25*a - 2*p, 391*a - 387*a + 4*p - 18 = 5*p for a. 3 Solve 0 = -11*i - 44, -3*i + 0*i + 22 = 516*o - 514*o - 0*i for o. 17 Solve 0 = 3*r + 34*x - 31*x - 18 - 12, 95*r - 562 = 2*x for r. 6 Solve -5*z = v + 7, -3*z + 5*v + 110 = 2*z + 19*v + 26*v for z. -2 Solve 3*q - 3*a = 48, -29854*q - 8*a - 29 = -29853*q for q. 11 Solve -54737*u + 54733*u = 45*s - 37, -s - 3 = 2*u for s. 1 Solve -5*u + 15*r = 19*r - 22, -7*u + 6*r = -4*u + 3*r + 3 for u. 2 Solve 2*w + 4*m = -22, 0 = -520*w + 530*w - 2*m + 88 for w. -9 Solve 111*q + 5 = 104*q + 2*f, -3*f + 45 = 2*q for q. 3 Solve -12889 + 12916 = 12*j - 15*j, -5*j - 25 = 5*b for b. 4 Solve 0 = -5*s - 100*c + 745, -12*s - 2*c + c = -16*s + 191 for s. 49 Solve -l - 4*b = 3*l - 2128 + 2060, -10*l + 275 = 5*l + 5*b for l. 19 Solve 161 + 185 = 46*d - 7*d - 15*s + 16*s, s = 5*s + 20 for d. 9 Solve t + z = -8, 26*t + 43*z = -14*t + 39*z - 248 for t. -6 Solve 3*p - 6*t = 66, 0 = -2*p + 2654*t - 2652*t + 34 for p. 12 Solve 67*y - 44*y - 19*y + 4*f - 76 = 0, 3*y + 4*f - 76 = 0 for y. 0 Solve -745454*h + 20 = -745459*h, -4*t = -3*h - 4 for t. -2 Solve 5*y - 9*j = -12*j + 32, 16*j - 20*j - 4 = -5*y for y. 4 Solve 403*r - 400*r + 46 = a, -5*a = -2*r - 355 + 99 for r. 2 Solve 43*f = 45*f - 2*k - 24, f + 53 = -4*k for f. -1 Solve 2*h - 79 = 14*z - 13 + 88, -4*h - 33 = 3*z for z. -11 Solve -14*c + 2032*n = 2034*n + 50, 0 = -5*c - 2*n - 14 for c. -4 Solve -x = 6*t + 13, -3*t = 5*x + 2042747 - 2042682 for t. 0 Solve -11*h = 4*i - 14*h + 70, h - 25 = 3*i for i. -1 Solve 41*g = 53*g + 48, -3*v = -v - 5*g + 6 - 32 for v. 3 Solve -2886 = 207*w - 4*k, 28553*k - 28550*k = 4*w + 47 for w. -14 Solve 0 = -2*n - o - 21, 960*o + 18 = -3*n + 963*o for n. -9 Solve -3*z = 0, 1 - 37 = -5*c - 8*z - 10*z + 19 for c. 11 Solve 2*v - a + 9 + 34 = -0, 163 = 3*v + 5*a for v. -4 Solve a + 6*y = 11*y - 45659 + 45672, 3*a - 4*y + 5 = 0 for a. -7 Solve 245*l - 496*l = -246*l - 3*d - 18, 17 = 4*l - 5*d for l. 3 Solve 2*z - 13*v = -159, 254*z - 250*z = 4*v - 208 for z. -47 Solve -25 = -3*b + 9737*z - 9733*z, -5*b + 3*z + 60 = 0 for b. 15 Solve 3*j + 3*d = 4 - 19, 0 = 9*j - 3*d + 93 for j. -9 Solve -4 = 6*d - 2*x, 3*d - 1595*x - 8 = -1596*x for d. 1 Solve 2*z - 4*d - 50 = 5*z, -38*z - 355 = d - 6*d for z. -10 Solve -35*b + 78*b = 8*j + 42*b + 7, b = 3*j + 2 for j. -1 Solve -17*q = i - 55, 4*i + 2489 = 5*q + 2490 for i. 4 Solve -5*y - 7*p - 110 + 12 = 0, -8*y - 51 = -6*y - 9*p for y. -21 Solve 9081 = -p - 5*h + 9066, 2*p + 4*h = -18 for p. -5 Solve 3*s + 4*v + 19 = 3*v, -56*v - 1464 = 37*v + 458 - 155 for s. 0 Solve 14*h + 90 = 4*f + 24, 0 = 6*h - 3*h + f + 16 for h. -5 Solve 4*b = -8, -3*p - 121835 = 8*b - 121873 for p. 18 Solve 0*h - 3*h - 4*m + 10 = -10*m - 17, -5*m = -9*h + 68 for h. 7 Solve 4*t - 1 = -3*s - 2, 6*s - 11 = 5*s + 10*t for s. 1 Solve -5*k = 28*w + 158, -57*w + 52*w + k = 2*k + 28 for w. -6 Solve -2*u - 10 = -2*o, -3*o - 22*o = -u + 2*u - 27*o + 9 for u. -1 Solve -f - 4*f + 27*r = 25*r + 13 + 24, 0 = 3*f - 5*f + 13*r - 27 for f. -7 Solve 4*m + 55 = -67*a - 134, 3*m = -36*a + 31*a - 6 for a. -3 Solve -4*f + 5581*w - 40 = 5577*w, -47*w + 60 = -14*f - 49*w for f. -5 Solve 2*z + 1045 = -61*a, 3*z - 40*a = -41*a - 29 for z. -4 Solve 0 = -5*h + 5, 10677*h - 13 = -2*i + 10676*h for i. 6 Solve -k + 19*a - 8 - 28 = 0, -4 - 4 = -5*k + a for k. 2 Solve 11 = -5*j - 80*l + 118*l, 3*j - 2*l = -69 for j. -25 Solve -4*k = 3*f + 11, 88404*f - 88402*f - 5*k - 8 = 0 for f. -1 Solve -l + 3 = -3*h, -10*l - 71184*h = -71186*h - 2 for l. 0 Solve -5*r + 5*f - 137 = -f, 5452*f = 4*r + 5455*f + 133 for r. -31 Solve 3 = -4*l - 19*c + 20*c - 5, 0 = 2*l - 15*c + 62 for l. -1 Solve -15208*l = -15211*l - 4*f - 20, 5*f + 30 = -5*l for l. -4 Solve -5*t - 23*x = -54*x + 27*x - 188, 4*x = -2*t - 188 for t. 0 Solve 20 = -8*u - 4*s, 94*u = 89*u - 4*s - 5 for u. -5 Solve 8*y - 84 = 13*y + 9*b - 3 + 48 - 28, 2*y + 35 = -9*b for y. -22 Solve 3*p + 0*p - 192*q + 386*q - 50 = 195*q, 0 = 3*p - 5*q - 46 for p. 17 Solve -15*r - g = -5*g - 73, 0*r - 3*r + 12*g + 2 = 13*g for r. 3 Solve 336*w = 337*w - j - 68, -5*w - j = 38 for w. 5 Solve 5*k - 12 = 3, 30*s - 1977 = -0*s + 2*s + k - 720 for s. 45 Solve 17*g - 13*g + 447 = 83*f, -3*f + 15 = 0 for g. -8 Solve n - h - 211 + 243 = 0, -48*n - 1306 = -2*h for n. -27 Solve -3*z = -4*z - 3*u + 33, -z - 44 = -211729*u + 211725*u for z. 0 Solve 4120 = 60*s + 5*t, 72*t - 31*t + 12 = 38*t for s. 69 Solve -6962 - 1622 = -65*c + 2*t, 3*c + 2*t = 4*t + 411 - 11 for c. 132 Solve -5*w = 5*j - 50, 52376*j + 2210 = 52597*j + w for j. 10 Solve i + 54 = 13*n + 267, -2*i - 14*n + 74 = -18*n for i. 5 Solve 2*w - 9 = 5*q, -w - 17*q - 45 = 4*q - 7*q for w. -3 Solve 3*y - 6*l - 243 = 0, 6142*y - 6147*y - 197 = 4*l for y. -5 Solve -68 = -2*m + y - 26 - 36, -4*m + 5*y = -
{ "pile_set_name": "DM Mathematics" }
+ 63. Suppose -k + 1 = 3. Which is the second smallest value? (a) f (b) k (c) w c Let p = -1.18 + 1.08. Let j = -69.3 + 61. Let n = j + 8. What is the second smallest value in p, n, -1/5? -1/5 Let n = 0 - -0.4. Let u(s) = s**3 - 8*s**2 + 5*s + 10. Let w be u(7). Let z = w + 10/3. Which is the biggest value? (a) z (b) -0.1 (c) n c Let a = -0.19 - 4.81. Let j = -0.05 - 2.95. What is the third biggest value in j, 2, a? a Let n be 1198/(-920) + 0/4. Let p = 6/115 + n. What is the second biggest value in p, -0.2, -1? -1 Suppose 3*t = 3*o + 9, -5*t + 2 = 3*o - 13. Let v = 4 - 17/4. What is the second smallest value in o, -1/3, v? v Let q = -2 - 2. Let k = q + 4.5. What is the smallest value in k, -5, 2? -5 Let o = 15 - 14.89. Let v = 3.89 + o. Which is the second biggest value? (a) v (b) -2 (c) -2/5 c Let t = 1343/3306 + -1/87. Let f = t - -2/19. Which is the third biggest value? (a) 2 (b) 0 (c) f b Let k = 25/2 - 12. Which is the third smallest value? (a) k (b) -5 (c) 0.1 a Let m = -0.4 - -0.3. Let y be (-2)/9 + (-1806)/135. Let s = -738/55 - y. What is the third biggest value in m, s, 5? m Let l = -19 - -22. What is the biggest value in 1/2, l, 3/7? l Suppose -3*i = -0*i - 3. Let b = 0.03 - 0.33. What is the second smallest value in b, 4, i? i Let k = 5.05 + -0.05. Which is the second biggest value? (a) k (b) 0.2 (c) 0.1 b Let v = 3/61 + 107/305. Suppose 3*i = -2*i - 10. What is the biggest value in i, v, -1? v Let s = -91 + 91.5. Which is the second smallest value? (a) 3 (b) s (c) 2 c Let y be (0 - 48/63)*15/20. What is the biggest value in 0.4, y, -2, 1/8? 0.4 Let q = 12 + -17. Which is the second smallest value? (a) 6 (b) 5 (c) q b Suppose -5*n + 0*n = 0. Suppose n = 3*x + 4 + 5. Let q = 0.42 + 0.08. Which is the biggest value? (a) x (b) 0.2 (c) q c Let l = -11 + 8. Let i be (-1*(-1 + 2))/(-1). Let z be (-30)/(-21) - (i - 0). What is the third smallest value in l, z, 0.3? z Suppose 7 = 5*z - 4*z. Suppose -2*s = 3 - z. Let g be (-1)/(-2)*s/4. What is the third biggest value in g, 2, -1/5? -1/5 Let p(g) = -14*g**3 + g**2 - 1. Let v be p(-1). Let j = v - 9. What is the smallest value in 0.5, -0.5, j? -0.5 Let g(t) = 4*t + 28. Let r be g(-8). Which is the smallest value? (a) -5 (b) -2/5 (c) r a Let j = -0.06 + -5.94. Let r = 9 + j. Let x be (2/(-4))/((-1)/2). Which is the smallest value? (a) r (b) x (c) -0.3 c Let u(d) = 2*d - 2. Let m be u(2). Suppose m*f + 10 = 7*f. Suppose -2*c = f*c - 4. What is the smallest value in -1, c, -0.4? -1 Suppose j = -h - 2*j + 10, 2 = 2*h - 3*j. Let z be 1/3 - h/(-6). Let o be 8/22 - (-57)/418. What is the third biggest value in -1, z, o? -1 Let f = 2.42 + -2.2. Let w = 0.08 + f. Suppose 5*x + 0*x - 13 = 2*c, 3*c = 5*x - 12. What is the second smallest value in c, 0, w? w Let q = 45 + -47. Which is the smallest value? (a) 4 (b) q (c) 0.1 b Let h = 1 + -4. Let z = -14/75 - 12/25. Which is the third biggest value? (a) h (b) 2 (c) z a Let q = 0.3 - -1.7. Let z = -46 + 45.9. Let u = -0.04 + -0.36. Which is the third biggest value? (a) z (b) q (c) u c Let i(q) = -q + 15. Let o be i(12). Suppose -o*u + 1 - 3 = -p, 4*p + 5*u = -26. Which is the third smallest value? (a) -3 (b) 0 (c) p b Let i = -1063/15 + 71. Let y = 0.9 + 0.1. Let m = 1 - y. What is the third biggest value in i, 1/2, m? m Let m = 1.57 - 1.5. Which is the second biggest value? (a) -3/5 (b) m (c) -3 a Let g = -7 - -6.9. Let o = 0.1 + g. Which is the third smallest value? (a) o (b) 5 (c) -0.2 b Let x = 47 - 51. Let o = 8 + -6. Let g be o - (-1)/((-27)/60). What is the second smallest value in g, x, -5? x Let k = -20 + 30. Let h = -1 + 12. Let g = k - h. What is the biggest value in g, -4, 2? 2 Let k = 5 + -1. Let z(j) = j**3 - 4*j**2 - j + 2. Let p be z(k). What is the biggest value in -4, -0.4, p? -0.4 Let v(i) = -i - 1. Let t be v(1). Let z(o) = -o**2 - 2*o. Let k be z(t). Let s = 7 + -15/2. Which is the second smallest value? (a) -1 (b) s (c) k b Let j be (8/(-14))/((-6)/21). Which is the third biggest value? (a) j (b) 1/4 (c) 0.5 b Suppose -5*j + 8 + 2 = 0. Let r = -0.4 + 4.4. Let h = 2 + -2.2. Which is the biggest value? (a) j (b) h (c) r c Let w = -361/7 + 58. Let s = -6 + w. Let l = 7.1 + -7. Which is the third biggest value? (a) l (b) 0.2 (c) s a Let r = -3.82 + -0.18. What is the second smallest value in -0.4, -18, -2/7, r? r Let f be 105/(-126)*(-4)/(-15). What is the third biggest value in 0.3, f, -3/7? -3/7 Let p = 0.02 - 0.52. Let u = -0.7 - p. Which is the third smallest value? (a) -1/4 (b) -5 (c) u c Let l = -23 + 22. Which is the smallest value? (a) -5 (b) 2/7 (c) l a Let s = -4.6 + 4.4. Which is the second biggest value? (a) 4 (b) s (c) -2 b Let b = 0.32 - 21.32. Let m = b - -20.8. What is the second smallest value in m, 0.1, -2/3? m Let w be (2 - (-18)/(-10))*1. Which is the second smallest value? (a) -1 (b) -2 (c) w a Let a be (-1 - -7)*2/3. Let d be -2 + a/(-6)*-3. Suppose 4*g + d - 4 = 0. What is the biggest value in g, 5, -1? 5 Let h(i) = 2*i - 2. Let r be h(4). Suppose -5*s = -m + 19, m = 4*s + r*m - 8. Which is the third biggest value? (a) 2 (b) s (c) 0 b Let s = 25/3 + -197/24. Let w = 4 - 6. Which is the second smallest value? (a) s (b) 0.5 (c) w a Let w = -1.2 + 1. Let t = 3.8 - w. What is the smallest value in 2, t, 0.1? 0.1 Let y be (-12)/(-90) - 17/15. Which is the smallest value? (a) y (b) 0.2 (c) 0.1 a Let z = -0.16 - -0.66. Which is the second biggest value? (a) 0.1 (b) -4/7 (c) z a Suppose 2*s = -o + 9, 6*s = -2*o + s + 23. Let d be 1/(-4) + o/8. Which is the second smallest value? (a) 3/2 (b) d (c) -0.2 c Let k = -2.06 + 0.06. Let j = -5 - k. What is the biggest value in 0.2, -0.3, j? 0.2 Let r be 0 + ((-1)/1)/(-2). Let n = 0.7 - 0.7. Let g = n + 4. Which is the third biggest value? (a) r (b) 2 (c) g a Let z = -3.8 - 1.2. Let y = 1.1 + -0.7. Which is the biggest value? (a) 3 (b) y (c) z a Let k = -13/6 + 29/12. Which is the smallest value? (a) 4 (b) k (c) 5 b Let i = -164 + 163.6. Let d = 1 - 2. Which is the third smallest value? (a) -2/3 (b) d (c) i c Let p = 62 + -187/3. What is the third biggest value in -2, -0.2, p, 3/4? p Let o = -0.3 - -2.3. Let n = 3 - 5. Let m = -4.99 - 0.01. What is the third biggest value in m, o, n? m Let p = 0.04 + -3.04. What is the second smallest value in p, -1, 4? -1 Let p = 10.3 + 0.7. Let i = 11.3 - p. Which is the smallest value? (a) i (b) -0.5 (c) 0.1 b Suppose -4*u + 24 = 3*v + v, 2*v = -u + 10. Which is the second biggest value? (a) -1/8 (b) 5/2 (c) u c Let j be 1615861/44520 - 3/(-6). Let r = j + -1968/53. Let w = r + -4/105. Which is the second smallest value? (a) -1 (b) w (c) -3 a Let h = -1227 - -2399/2. Let l = h - -28. Let k = -0.14 + 4.14. What is the third smallest value in k, -0.4, l? k Let k = 18 - 20. Which is the smallest value? (a) -3 (b) -0.3 (c) 2/3 (d) k a Let t = 57/424 + -1/106. Which is the second biggest value? (a) -2/13 (b) 4/5 (c) t (d) 4 b Let z = -33 + 51. Let o be (-3)/6*z/15. Let t = -0.2 + 0.2. What is the third smallest value in o, 0.1, t? 0.1 Let y = -4 - 4. Let u = y + 11. Let f = 0.1 - 0. What is the biggest value in 5, f, u? 5 Suppose 5*l + 27 = -2*y, -5*y + 2*y - 51 = 4*l. Let t be 1*27/y + 1. Let b = -191 - -1333/7. What is the second biggest value in b, 2/5, t? t Let q = 0.23 + -0.43. Which is the fourth biggest value? (a) q (b) 2/3 (c) -1 (d) 2/7 c Let y = 0.17 + 1.83. Which is the biggest value? (a) -2/3 (b) -0.2 (c) y c Let k(t) = 1 + 60*t + 1 + 6*t. Let r be k(3). Let n = r - 2202/11. Which is the smallest value? (a) n (b) 2 (c) 0.5 a Let j = 0.24 + 0.06. Let r = j - 0.1. Let o = r + 0. Which is the third smallest value? (a) 0.3 (b) -0.1 (c) o a Let y = -0.1 - -0.3. Which is the third biggest value? (a) 2 (b) 0.4 (c) y c Let l = -103 + 147. Let m = 133/3 - l. Let y = -10 - -9. Which is the smallest value? (a) 4/5 (b) y (c) m b Let d(i) = 4 + 0*i + 1 - i. Let l be d(6). Let n be (-1 + 5/2)/(21/4). Which is the smallest value? (a) l (b) n (c) -4 c Let z = 27 + -24. What is the second smallest value in -2, z, 1/7? 1/7 Let r = 2 + -2.5. Let u = -1.4 + 1. Let z = -18 + 122/7. What is the second smallest valu
{ "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" }
4? False Is -0.1 equal to 0.234? False Is -1/155 != 14? True Which is smaller: 0.8 or -0.17? -0.17 Is 14 at most as big as 615/49? False Which is bigger: 1031 or 1034? 1034 Which is smaller: 107 or 79? 79 Which is smaller: 73 or 0.2? 0.2 Is -4 != -1/6? True Which is smaller: 0 or -3/295? -3/295 Is 4329 greater than 4329? False Is -28/2889 < 0? True Is 1026 greater than or equal to 1024? True Which is smaller: -37 or 1? -37 Is -108 <= -109? False Which is bigger: -2 or 1105? 1105 Is 0 != 15/11? True Is 6092 less than or equal to 2? False Which is smaller: -193 or -187? -193 Is -4/243 at least -1? True Which is bigger: 2/199 or -1? 2/199 Is 0 equal to -1/1667? False Is -1/49 greater than -1/54? False Which is smaller: 121 or 133? 121 Are -3/229 and -1/4 nonequal? True Is 43 < 75? True Does 24 = 25? False Is 88 at least as big as -2/63? True Is 2375 > 2374? True Is -62 not equal to -13? True Which is bigger: -263 or -284? -263 Which is bigger: -424 or -412? -412 Is -1.82 smaller than 1? True Which is bigger: -0.1 or -4522? -0.1 Which is bigger: 58/11 or 6? 6 Which is greater: -13/6 or -6? -13/6 Do 1/126 and 1 have the same value? False Which is smaller: -2/3 or 639/7? -2/3 Is -8/3 > 36? False Is -1529 bigger than -1529? False Are 0.846 and 1/4 nonequal? True Is 16/911 greater than 1? False Is 3 at most as big as 4? True Which is smaller: -74/245 or -0.1? -74/245 Which is bigger: 8 or -722? 8 Is 327 greater than or equal to -4? True Is -295 greater than or equal to -288? False Is -1 smaller than 2/3783? True Which is greater: 39 or 35? 39 Do 2395 and 2394 have the same value? False Is -8 smaller than -31/4? True Do 63 and 65 have the same value? False Which is bigger: -102 or -103? -102 Which is smaller: 21/547 or -1? -1 Does 277 = 104? False Which is greater: -36 or -56? -36 Are 207 and 2 unequal? True Which is greater: 5/2 or 0.081? 5/2 Is -264 smaller than -266? False Which is bigger: 1/2 or 63? 63 Which is smaller: 23 or 112/5? 112/5 Which is smaller: 471/38 or 12? 12 Do 807 and 804 have the same value? False Which is greater: 1 or -2/16961? 1 Which is smaller: -19 or -0.2? -19 Is 0 not equal to 0.12367? True Which is bigger: 615/68 or 9? 615/68 Is 1165 < 1163? False Is -0.2 != -9/74? True Is 206 at most 206? True Which is smaller: -1/4 or -37846? -37846 Is -1/3 < -105? False Are -146 and -3 unequal? True Which is greater: -93 or -92? -92 Is -338 < -342? False Are -1 and -8/977 equal? False Is -5/3358 greater than or equal to 0? False Do -113/52 and -1 have the same value? False Which is smaller: 0.2 or -6/37? -6/37 Is -0.08647 greater than -2/7? True Which is smaller: 919 or 8? 8 Do -870 and -907 have the same value? False Which is greater: 4 or 11/8? 4 Is -42 greater than or equal to -38? False Which is smaller: -192 or -191? -192 Does 0 = 2/13587? False Does -4872 = -4871? False Which is bigger: 105.7 or 1/4? 105.7 Which is smaller: 48 or -3? -3 Which is bigger: -2824 or -2823? -2823 Is 291 <= 291? True Are 79 and 2877/37 unequal? True Which is bigger: 80 or 68? 80 Are -129 and -133 unequal? True Is 112 at most 335/3? False Do 0 and -9/10 have different values? True Which is smaller: -1.7 or 24? -1.7 Is -138 at least -137? False Is -3.16 <= 2? True Which is bigger: 1 or 5/292? 1 Which is greater: -451 or -458? -451 Which is smaller: -7706 or 0.1? -7706 Which is greater: -1 or -5/99? -5/99 Are -1702 and -1703 nonequal? True Is -13 at most as big as -66/5? False Which is greater: 89 or 703/8? 89 Is -54 at least as big as -63? True Which is smaller: -0.16 or -0.4? -0.4 Which is greater: -37272 or -37273? -37272 Which is smaller: 10/1533 or -1? -1 Which is smaller: 232 or -1? -1 Which is smaller: 0 or -213/164? -213/164 Which is greater: 2520 or 2521? 2521 Do 134 and 133 have the same value? False Which is smaller: 2/4959 or 0? 0 Which is bigger: -2 or -2324? -2 Is -8834 > -1? False Which is smaller: -3/13 or -1/487? -3/13 Is 399 at least as big as 397? True Is 2995 greater than -2/7? True Which is bigger: 2/5 or -97? 2/5 Do 1/12 and -2/61 have the same value? False Which is greater: 0.07 or 1? 1 Which is bigger: 368 or -48? 368 Which is bigger: 29 or 100? 100 Which is greater: -8/51 or -1? -8/51 Is -2/7 < 18/17? True Do -28/1091 and 1 have the same value? False Is 4 <= -0.066? False Do -46/13 and -5 have different values? True Is -1/5069 <= 0? True Is 49/16 at most 3? False Is 9985 at least as big as 9986? False Is 47 greater than or equal to 93/2? True Which is smaller: -266 or -2? -266 Is 5496 < 5497? True Which is smaller: 49/32 or 3? 49/32 Is 6 equal to -6? False Which is smaller: 32 or 617? 32 Is 234 greater than or equal to 41? True Which is bigger: -59 or -17? -17 Which is bigger: -6.6 or -2/211? -2/211 Which is smaller: -945 or -956? -956 Is 51 less than 72? True Which is greater: -1/11231 or 1? 1 Which is greater: 1 or -22/5591? 1 Which is smaller: -92 or -185/2? -185/2 Which is greater: 71 or 58? 71 Which is bigger: 9/203 or 0? 9/203 Which is bigger: 0 or -1/97? 0 Is -1093 < -6559/6? False Which is smaller: 3/202 or 0? 0 Which is greater: 5/12199 or 1? 1 Which is greater: -1 or 1/292? 1/292 Is -71 greater than -1? False Is -26/109 greater than or equal to 0? False Do -241 and -242 have different values? True Which is smaller: 0.09 or 7? 0.09 Is 794 equal to 3177/4? False Which is smaller: 0.135 or -2? -2 Do 4/7 and 1 have different values? True Which is smaller: -106 or -952/9? -106 Is 1.085 != 1? True Which is smaller: 51 or 24? 24 Which is bigger: -4/523 or 1? 1 Is 142 at most as big as 712/5? True Which is greater: 0.18 or 68.4? 68.4 Is -293 > -293? False Which is smaller: 4/1127 or 0? 0 Which is smaller: -822 or -820? -822 Which is smaller: -1330 or -6651/5? -6651/5 Which is greater: -3405 or -10219/3? -3405 Do -344 and -343 have the same value? False Which is smaller: -82 or 0.04? -82 Are 0.24 and 6 equal? False Is -3 < -0.089? True Which is greater: -1 or -6/2297? -6/2297 Which is bigger: -1.18 or -14/9? -1.18 Which is smaller: -7 or -6? -7 Which is greater: 0 or -2/561? 0 Which is smaller: 2/117405 or 0? 0 Which is bigger: -866/3 or -289? -866/3 Is -21 greater than or equal to -21? True Which is greater: 73485 or 73484? 73485 Do 339 and 5/2 have different values? True Is -1465 at least as big as -1465? True Which is smaller: -290 or -42? -290 Are 22 and 178 nonequal? True Which is smaller: -259 or -260? -260 Which is greater: -16/241 or 0? 0 Is -186 >= 0? False Does 55/8 = 8? False Which is greater: 0 or -3/16? 0 Is -6 bigger than -110/21? False Which is smaller: -2348/33 or -71? -2348/33 Is 0 at most as big as -1/7143? False Which is smaller: 537 or 536? 536 Is 137/3 at most -0.1? False Are 38128 and 38128 non-equal? False Does -3 = -24? False Which is smaller: -10/791 or 0? -10/791 Which is bigger: 164 or 163? 164 Is 818 greater than 2455/3? False Is 7/713 not equal to -1? True Which is greater: 3801/29 or 131? 3801/29 Is 2678 at most 2680? True Which is smaller: 12 or 100/9? 100/9 Is -0.3 bigger than -0.02? False Which is smaller: 0 or 3/637? 0 Which is smaller: -1248 or -2/25? -1248 Which is greater: -21/8 or 0.02? 0.02 Which is bigger: -132 or -0.17? -0.17 Do 38 and 25 have the same value? False Is -5 smaller than -114/23? True Which is greater: -22 or -50? -22 Is 1 less than or equal to -3/56? False Is 1/4 >= -0.022? True Which is smaller: -1136 or 3? -1136 Is -172 greater than -165? False Which is greater: -1565 or -1564? -1564 Which is greater: -64 or -70? -64 Which is bigger: 13 or 25? 25 Which is bigger: -37 or -20? -20 Is -1/13 less than -1? False Which is smaller: -0.099 or 15/7? -0.099 Is 3215 > 3217? False Is 4066 less than 4066? False Is -65/622 < 1? True Are 819 and 813 unequal? True Is 10 at least as big as 54/5? False Which is smaller: 18749 or 18751? 18749 Is 1 < 42/25? True Is 7609 greater than or equal to 7613? False Which is bigger: -131 or -129? -129 Which is bigger: -2/11 or -58? -2/11 Which is smaller: -0.3 or -696? -696 Is -233 smaller than -232? True Which is smaller: -0.4 or 7194? -0.4 Is 1 less than -18/529? False Which is smaller: 1 or -4/30331? -4/30331 Which is bigger: 675 or 682? 682 Is 1 at least 1/4110? True Which is bigger: 2054 or 2053? 2054 Does -1 = 44/413? False Which is greater: -3
{ "pile_set_name": "DM Mathematics" }
= -371 - 685 for s. 8 Solve 1149*b - 10 = 1139*b for b. 1 Solve -8*o - 11 = 5 for o. -2 Solve -5*d + 0*d - 3*d = 0 for d. 0 Solve -34*f + 17*f = -17 for f. 1 Solve 5*p = 11 - 21 for p. -2 Solve -7 = -3*q + 8 for q. 5 Solve -109*z = -129*z - 60 for z. -3 Solve -5 + 1 = -2*t for t. 2 Solve 0 = -27*o + 34*o for o. 0 Solve -7*v - 300 + 286 = 0 for v. -2 Solve 70*k = 102*k + 288 for k. -9 Solve 6*p = -29 + 35 for p. 1 Solve -13*l - 59 + 7 = 0 for l. -4 Solve 23*z + 72 = 5*z for z. -4 Solve -3*r + 8*r = 15 for r. 3 Solve 2567*x = 2589*x - 154 for x. 7 Solve -19*h + 27 = -11 for h. 2 Solve -4*a = 4*a + 40 for a. -5 Solve -32*c + 19*c - 65 = 0 for c. -5 Solve -2*p + p - 1 = 0 for p. -1 Solve 14*l + 250 = 166 for l. -6 Solve 56 = 15*o + 11 for o. 3 Solve -10 = 2*v - 8 for v. -1 Solve 10*c + 2946 = 2956 for c. 1 Solve 47*v - 196 = 19*v for v. 7 Solve 2*w - 84 + 88 = 0 for w. -2 Solve -43*f = -47*f + 16 for f. 4 Solve -10*g + 76 = 46 for g. 3 Solve -43 = 4*q - 55 for q. 3 Solve 0 = 9*o + 14 + 22 for o. -4 Solve -14*z + 10*z = 8 for z. -2 Solve 2*f + 1 = 3 for f. 1 Solve -17*r = 76 + 43 for r. -7 Solve 20 = -8*m + 3*m for m. -4 Solve -m - 6 = -3 for m. -3 Solve 0 = 25*x - 23*x + 8 for x. -4 Solve -46*x + 72 = -20 for x. 2 Solve 25 = -4*f + 9 for f. -4 Solve -54*r + 59*r - 5 = 0 for r. 1 Solve 10 + 17 = -9*v for v. -3 Solve -51 + 48 = -c for c. 3 Solve 25*q = -9*q + 204 for q. 6 Solve 14*b = 10*b - 16 for b. -4 Solve 2*v + 10*v = 24 for v. 2 Solve -23*d = -24*d + 4 for d. 4 Solve 2*l - 10 = 4*l for l. -5 Solve -3*c - 1 = -2*c for c. -1 Solve 12 + 0 = 4*d for d. 3 Solve -325*s + 317*s - 40 = 0 for s. -5 Solve -54*n - 79 - 191 = 0 for n. -5 Solve -18*i + 46 = 100 for i. -3 Solve 0 = -4*r - 4 + 4 for r. 0 Solve 9*s = 21*s + 24 for s. -2 Solve 149*n - 528 = 17*n for n. 4 Solve 0 = -6*f - 25 + 31 for f. 1 Solve 0 = -4*x - 3*x - 7 for x. -1 Solve -57 = -16*p - 41 for p. 1 Solve 0 = -7*b + 8*b - 2 for b. 2 Solve 1412*c = 1430*c - 162 for c. 9 Solve 0 = 2*s + 7 + 3 for s. -5 Solve -11*g - 160 = 9*g for g. -8 Solve -89 = -4*z - 69 for z. 5 Solve 0 = -20*x + 16 - 116 for x. -5 Solve -1 = -4*v + 3 for v. 1 Solve 2*n - 12 = -4 for n. 4 Solve 187 - 147 = -5*q for q. -8 Solve -1301*c + 40 = -1291*c for c. 4 Solve 13*v - 2*v = -11 for v. -1 Solve -87*g = -65*g + 88 for g. -4 Solve 2*n = -3*n - 20 for n. -4 Solve -53*s - 30 + 83 = 0 for s. 1 Solve 4*t - 418 + 446 = 0 for t. -7 Solve 201 - 185 = -4*b for b. -4 Solve -20*r - 24 = -28*r for r. 3 Solve 32 = 3*n + 17 for n. 5 Solve -15*j - 30 + 0 = 0 for j. -2 Solve 16*t = 10*t + 12 for t. 2 Solve 28*z = 57*z - 145 for z. 5 Solve 180 = 38*w - 2*w for w. 5 Solve 44*q = -4 + 4 for q. 0 Solve -12 = -123*t + 127*t for t. -3 Solve 12 = a + 16 for a. -4 Solve 2388 = 3*s + 2394 for s. -2 Solve 8*x - 51 = -35 for x. 2 Solve 0 = 13*v - v - 36 for v. 3 Solve -y + 4 = 3 for y. 1 Solve -4*w - 4*w = 0 for w. 0 Solve 4*v = -18*v + 44 for v. 2 Solve 3*w = 20 - 26 for w. -2 Solve 22*s = -53 + 251 for s. 9 Solve 0 = 34*c - 6*c + 28 for c. -1 Solve 0 = -374*n + 376*n for n. 0 Solve 0 = d - 3*d - 2 for d. -1 Solve -36*h = -40*h + 12 for h. 3 Solve -69*c + 36*c = -33 for c. 1 Solve 0 = 21*s - 0 for s. 0 Solve -22 = 9*y - 4 for y. -2 Solve 16*a + 33 = -31 for a. -4 Solve 0 = 10*m - 13*m + 15 for m. 5 Solve -7*y + 2022 = 2064 for y. -6 Solve -22*r + 17*r + 15 = 0 for r. 3 Solve -68 = 8*r - 28 for r. -5 Solve 2 = 2*a - 6 for a. 4 Solve -19*i + 65 = -6*i for i. 5 Solve -363*x + 356*x + 70 = 0 for x. 10 Solve -63 = -10*k + 17 for k. 8 Solve -20 = 10*s - 60 for s. 4 Solve -5*v + 188 - 163 = 0 for v. 5 Solve 0 = 186*q - 184*q - 6 for q. 3 Solve -66*u = 120 + 144 for u. -4 Solve -9486*b + 9489*b = 9 for b. 3 Solve 0 = -42*v + 16*v + 208 for v. 8 Solve 66*z - 27 = 75*z for z. -3 Solve 4*t = 38*t - 34 for t. 1 Solve 0 = 4*w - 7*w - 15 for w. -5 Solve 0 = -9*w + 3*w + 30 for w. 5 Solve 55*g = 65*g + 40 for g. -4 Solve -2*m - 51 = 15*m for m. -3 Solve 11*q = -20 - 13 for q. -3 Solve -3*k + 4 = -4*k for k. -4 Solve 0 = -8*n - 8*n - 16 for n. -1 Solve 4*a - 15 = 1 for a. 4 Solve 71*f + 3*f - 17*f = 0 for f. 0 Solve 12*y - 25 - 23 = 0 for y. 4 Solve -11*c - 21 = -4*c for c. -3 Solve 13*o = 7*o + 48 for o. 8 Solve -40*k - 498 = -338 for k. -4 Solve 675 = -4*y + 703 for y. 7 Solve -366*f + 379*f - 26 = 0 for f. 2 Solve -11*z + 22 = -0*z for z. 2 Solve 30 = 148*i - 153*i for i. -6 Solve 91*d - 96 = 107*d for d. -6 Solve 4*d + 80 = 84 for d. 1 Solve -6 = -2*j + 4 for j. 5 Solve 0 = 17*m - 603 + 467 for m. 8 Solve 0 = -63*l + 67*l + 4 for l. -1 Solve -61 + 52 = -3*c for c. 3 Solve t = 11 - 9 for t. 2 Solve -12*d + 9*d = -3 for d. 1 Solve 543*d - 536*d - 49 = 0 for d. 7 Solve 0 = 90*t - 88*t for t. 0 Solve 116*q - 138*q = 220 for q. -10 Solve -47*k + 366 = -10 for k. 8 Solve 33*w - 26*w + 42 = 0 for w. -6 Solve 7*a - 3*a - 16 = 0 for a. 4 Solve 0 = -18*d + 105 - 15 for d. 5 Solve -21 = 340*o - 333*o for o. -3 Solve v + 17 = 12 for v. -5 Solve 0 = -22*a + 19*a - 3 for a. -1 Solve 43*p - 45*p - 6 = 0 for p. -3 Solve 149*a = 162*a for a. 0 Solve -1317*f - 88 = -1328*f for f. 8 Solve 14*t - 10*t - 12 = 0 for t. 3 Solve 28*w = 26*w + 6 for w. 3 Solve -11*n = n - 60 for n. 5 Solve -14*f - 4*f - 18 = 0 for f. -1 Solve 97*y - 69*y - 28 = 0 for y. 1 Solve -15 = 36*o - 33*o for o. -5 Solve 144 = 5*l + 119 for l. 5 Solve 108 = g - 19*g for g. -6 Solve 84*d - 86*d + 4 = 0 for d. 2 Solve 3 = -2*h + 1 for h. -1 Solve -39*q - 26*q - 65 = 0 for q. -1 Solve 2 = -o - 0 for o. -2 Solve 8*y - 129 + 153 = 0 for y. -3 Solve -31 = -7*f - 3 for f. 4 Solve 7*z = -57 + 71 for z. 2 Solve -50*g + 88*g - 114 = 0 for g. 3 Solve -5 = -17*r + 63 for r. 4 Solve 6*q + 9 = -3 for q. -2 Solve -7*m + 0 = 14 for m. -2 Solve -53*t - 38 - 174 = 0 for t. -4 Solve 27*s - 32*s = -30 for s. 6 Solve 0 = 3*j - 6*j - 15 for j. -5 Solve -5*n - 20 = -5 for n. -3 Solve 0 = -177*l - 359 + 1952 for l. 9 Solve 5*y + 12 = y for y. -3 Solve -20*p + 14*p = -12 for p. 2 Solve 221 = -5*r + 246 for r. 5 Solve 1 + 35 = 18*y for y. 2 Solve 99*v = 65*v - 34 for v. -1 Solve 5*q - 156 = -176 for q. -4 Solve -170 = -22*n - 16 for n. 7 Solve -6*i + 0 = -24 for i. 4 Solve 607*n - 615*n + 8 = 0 for n. 1 Solve 0 = 108*n - 36*n + 144 for n. -2 Solve 88 + 7 = 19*x for x. 5 Solve 54*v - 10 = 44*v for v. 1 Solve 31*l - 36 = 49*l for l. -2 Solve 65 = -13*n - 0*n for n. -5 Solve -7 = 3*m + 8 for m. -5 Solve -65*k - 21 = -72*k for k. 3 Solve 60*g + 40 = 68*g for g. 5 Solve -20*x = -24*x + 28 for x. 7 Solve -2*c + 11 - 1 = 0 for c. 5 Solve -43*t - 159 = -30 for t. -3 Solve -8*r = -21*r - 39 for r. -3 Solve -5*a + 3*a = -8 for a. 4 Solve 2*a - 68 = 36*a for a. -2 Solve -551*f = -545*f + 12 for f. -2 Solve 98 = 56*m - 182 for m. 5 Solve 2*n - 25 = 7*n for n. -5 Solve -92*w = -77*w + 90 for w. -6 Solve 106*l - 26*l = 0 for l. 0 Solve 3*p + 8 = -p for p. -2 Solve -247 + 121 = -14*w for w. 9 Solve 0 = 33*b - 16 - 17 for b. 1 Solve -16*f - 35 = -67 for f. 2 Solve 64*c = 66*c for c. 0 Solve 52*w = 51*w - 2 for w. -2 Solve 5 = -233*m + 228*m for m. -1 Solve 2 = 2*d + 6 for d. -2 Solve 3*q = -50 + 41 for q. -3 Solve -406*c - 10 = -411*c for c. 2 Solve -72 = -16*x - 8 for x. 4 Solve 6*m = 8*m + 8 for m. -4 Solve 17*t = 13*t - 16 for t. -4 Solve 2605*y + 18 = 2614*y for y. 2 Solve -58 = 29*m + 29 for m. -3 Solve -30*q + 42*q + 48 = 0 for q. -4 Solve 10*p = 440 - 480 for p. -4 Solve 33*y = 26*y + 7 for y. 1 Solve -694 = 15*m - 634 for m. -4 Solve -20*i = -9*i - 33 for i. 3 Solve 10*g + 15 = -35 for g. -5 Solve 0 = -8*f + 4*f for f. 0 Solve 6*x - 34 = -4 for x. 5 Solve -10*w = -5*w + 10 for w. -2 Solve -9*i = -2*i - 7 for i. 1 Solve 28 = 378*u - 385*u for u. -4 Solve 75*j - 29*j - 368 = 0 for j. 8 Solve 1031*w - 1037*w = 36 for w. -6 Solve 2*m = 16 - 8 for m. 4 Solve 10*r + 8 = -2 for r. -1 Solve 148*y + 1245 = 209 for y. -7 Solve -226*u = -248*u + 22 for u. 1 Solve 192*j = 179*j + 78 for j. 6 Solve -20*q - 5 = -25*q for q. 1 Solve -42 = 379*z - 385*z for z. 7 Solve 68*c = 77*c - 45 for c. 5 Solve -k + 413 = 408 for k. 5 Solve 0 = 47*o - 39*o - 24 for o. 3 Solve 21 = -8*r + 77 for r. 7 Solve -4 = -j + 1 for j. 5 Solve 5*s - 409 = -429 for s. -4 Solve 30 = 9*q - 24 for q. 6 Solve -621 + 663 = -14*o for o. -3 Solve 0 = -4*k - 33 + 37 for k. 1 Solve -20
{ "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" }
alculate the remainder when 158 is divided by z(0). 52 Let q = 274 + 411. Suppose -2*w - 5*x = -q, 5*w - 1047 = 2*w - x. What is the remainder when w is divided by 27? 26 Let w(m) = 9562*m - 4821. Calculate the remainder when w(3) is divided by 204. 201 Let c = 199 + -194. Suppose -4*o = 5*s - 231 - 108, -5*s + c*o + 375 = 0. What is the remainder when s is divided by 38? 33 Suppose 3*f = 5*i + 5*f - 3564, 2*i - 4*f - 1440 = 0. Calculate the remainder when i is divided by 236. 6 Let s = -241 + -21. Let r = 337 + s. What is the remainder when 298 is divided by r? 73 Let n = -428 + 511. Calculate the remainder when 0/((-20)/(-5)) + n is divided by 43. 40 Let a be 9/(-6)*(-3 - 246/18). Calculate the remainder when 10/(a/20 + -1) is divided by 86/5 - 2/10. 6 Suppose 5*y + 5*o = -15, 4*y + 2*o + o = -8. What is the remainder when 368/(-12)*3/(-2) is divided by (12 - 6) + 1/y? 4 Let f = -180 + 132. Calculate the remainder when 87 is divided by (-7)/(42/f) + 2. 7 Let z(l) = -l**2 - 105*l - 1388. Let w(a) = -a**3 - 2*a**2 - a + 1. Calculate the remainder when z(-89) is divided by w(-2). 0 Let s = 745 - 503. Suppose -2*k - 1170 = -5*v - 0*v, v - 2*k = s. Calculate the remainder when v is divided by 18. 16 Suppose 28 = 8*c - 348. Let q = c - 45. Calculate the remainder when 8 is divided by q. 0 Let y be (-4)/6 + (-4 - (-161)/21). Calculate the remainder when -1 + 62 + (-12 + 3)/y is divided by (-1)/(0 + (-3)/60). 18 Let m(x) = x + 6. Let d be m(0). Suppose 3*f = f - d, 0 = -3*u - 3*f + 45. Suppose -4*r + 51 - 7 = 0. Calculate the remainder when u is divided by r. 7 Suppose -f - 2*f = -315. Let u be 3 + 2/(-2*3/3). Suppose -n - 2*n = -4*k - 128, -u*n = -k - 77. What is the remainder when f is divided by n? 33 Calculate the remainder when 83 is divided by (1544/(-26))/(-4) - (-126)/819. 8 Let i(t) = -3*t + 14. Let k be i(8). Let q = -8 - k. Suppose -38 - 33 = -q*u - 5*d, 169 = 5*u + 4*d. What is the remainder when u is divided by 9? 6 Let k be 19215/36 - 5/(-20). Let b = -458 + k. What is the remainder when b is divided by 24? 4 Suppose 423*d - 287*d = -370*d + 143704. What is the remainder when d is divided by 19? 18 Let m = -13384 - -13857. What is the remainder when m is divided by 25? 23 Suppose 0 = 271*k - 266*k + 3*c - 4880, 5*c + 1952 = 2*k. Calculate the remainder when k is divided by 89. 86 Let h = -483 - -149. Calculate the remainder when 6/(-8) + h/(-8) + -2 is divided by 8. 7 Suppose 0 = -55*n - 1208 + 11493. Suppose -11*s = -n - 704. What is the remainder when 157 is divided by s? 76 Let b = 6311 + -6136. Calculate the remainder when b is divided by 86. 3 Let o be 1/3 - (105/(-9) - -9). Suppose 10*m - 91 = o*m. Calculate the remainder when 36 is divided by m. 10 Let y(o) = o**3 - 20*o**2 - 20*o - 19. Let q be y(21). Let g(c) = 5*c**2 + 5*c - 2. Calculate the remainder when g(q) is divided by 5. 3 Let u(c) = -2*c. What is the remainder when u(-6) is divided by ((-16)/(-6))/(-16*26/(-1560))? 2 Let g = -37093 - -37128. What is the remainder when 6433 is divided by g? 28 Let w be (-375)/20*(-40)/6. Suppose 3*y - 39 = -c, 5*c - 7*y + 8*y - w = 0. What is the remainder when 45 is divided by c? 21 Suppose 223 = 3*l - x + 3*x, -3*x = -2*l + 166. Suppose -77 = 4*k - 25. What is the remainder when l is divided by (-5)/(((-39)/(-12))/k)? 17 Let j(z) = 5*z - 41. Suppose 11*p - 8 - 91 = 0. Let a be j(p). Suppose 1 - 7 = -m - 2*g, -a*g = -3*m + 38. What is the remainder when 69 is divided by m? 9 What is the remainder when 6800/7 - 2/((-17)/2 - -5) is divided by 19? 3 Let x be (7/(-7 - -14))/((-3)/(-24)). Suppose -3936 = -24*o - x*o. Calculate the remainder when o is divided by 42. 39 Let j(y) = -4*y**3 + 40*y**2 + 323*y - 46. What is the remainder when j(-7) is divided by 12? 5 Let f = 329 - 312. Let m = 448 + -60. Suppose -3*k - k + m = 4*j, -2*j + 4*k + 212 = 0. Calculate the remainder when j is divided by f. 15 Let n(y) = 31*y**2 + 1486*y - 86. What is the remainder when 56 is divided by n(-48)? 6 Let b = -22635 - -22660. What is the remainder when 4070 is divided by b? 20 Suppose -515648 = 1395*x - 1427*x. What is the remainder when x is divided by 237? 235 Let g(x) be the second derivative of -4*x + x**3 + 0 + 2*x**2 - 1/6*x**4. What is the remainder when 4 is divided by g(3)? 0 Suppose 4*l = -13*h + 8*h + 2646, 2*h = 3*l + 1040. Suppose 3*n - h = n. What is the remainder when n is divided by 22? 21 Calculate the remainder when 0 + 79 + 1 + -2 is divided by (34/(-102)*(-6)/(-5))/((-15)/750). 18 Suppose 4*w - w - 167 = -2*a, -w - a = -57. Let k(s) = 65 - 2*s**2 - w - 40*s - 39. Calculate the remainder when 39 is divided by k(-19). 6 Let m(k) = 2*k**2 + 3*k - 3. Suppose 5*n = -2*n + 11*n - 884. Calculate the remainder when n is divided by m(-5). 29 Let r = 189 + -230. Calculate the remainder when 105 is divided by (-35)/((-63)/(-9)) - 1*r. 33 What is the remainder when 4/(-14) + (-36284490)/(-1386) is divided by 9? 7 Let s(v) = 298*v**3 + 4*v**2 + 7*v + 3. Let c be s(-1). Let i = c - -357. What is the remainder when i is divided by 33? 26 What is the remainder when 2031 is divided by 8*196/544 + 4/34? 0 Suppose 137*x = 3126 + 8108. Calculate the remainder when x is divided by 68. 14 Let n(s) = -s**3 - s**2 + 2*s + 11. Let v be n(0). Suppose v*x - 15*x - 16 = 0. Calculate the remainder when 44 - (39/15 - x/10) is divided by 15. 11 Let w = -78 + 81. Suppose 61 = w*p + i, 5*i - 3*i + 49 = 3*p. What is the remainder when 71 is divided by p? 14 Suppose 2*l = 4*z + 54, 0 = 27*z - 31*z + 8. What is the remainder when 2320 is divided by l? 26 Suppose -2*t = -o - 316 - 302, -630 = -2*t - 2*o. Calculate the remainder when t is divided by 303. 8 Suppose -3837 = -18*a + 357. Let k = -228 + a. What is the remainder when 18 is divided by k? 3 Let o = -30775 - -30952. What is the remainder when o is divided by ((-23)/(-3))/(2/12)? 39 Let w(u) = u**3 - 18*u**2 + 25*u - 3. Let r be w(18). Calculate the remainder when (-1)/(-7) - r/(-7) is divided by 35. 29 Let h be (-2)/5*(8 - (17 + 1)). Suppose -h*p - 5*a = 31, 5*p + 5 = -0*p + 5*a. Calculate the remainder when 133 is divided by 4 + (-2)/p*(-52)/(-2). 14 Let g = 37 - 45. Calculate the remainder when 3 + 14/(-4)*-16 is divided by ((-3)/12)/(-1) - 94/g. 11 Let d(o) = -2*o**3 + 2*o**2 + 2. Suppose -5*r = -3*r - 4. Let p be d(r). What is the remainder when (-4)/p - (-507)/9 is divided by 5? 2 Let n = 75 - 110. Let d = n - -25. Calculate the remainder when 19 is divided by (-141)/(-15) + (-6)/d. 9 Let b be 12*(-3)/(-9) - 21. Let p(n) = -6*n - 88. What is the remainder when 38 is divided by p(b)? 10 Let o = 185 - -816. What is the remainder when o is divided by 22? 11 Let g = -110386 + 110409. Let s = 155 - 67. Calculate the remainder when s is divided by g. 19 Let j be (-6)/4*4/(-3). Calculate the remainder when (-143)/22*(j + -4) is divided by 2. 1 Let t(w) = w + 2*w + 53 + 27 - 13. What is the remainder when 53 is divided by t(-20)? 4 Let n = 2125 - 2070. Suppose -j - j = r + 4, -16 = 2*j + 4*r. Suppose j = 3*c - 46 - 38. What is the remainder when n is divided by c? 27 Suppose -6*c - 264 = -2*c. Let g be ((-143)/(-33) + 5)*-3. Let f = g - c. Calculate the remainder when f is divided by 21. 17 What is the remainder when 268 is divided by (5/((-30)/8))/((-144)/2700)? 18 Calculate the remainder when (55 - 64) + (-2994)/(-4)*2 is divided by 136. 128 Suppose -8483514 = -528*c + 3305670. What is the remainder when c is divided by 154? 152 Let y = 1116 + -467. Let r = y + -585. Calculate the remainder when r is divided by 19. 7 Suppose 0 = -14*b + 11*b + 6. Let n be b/((-22)/24 - 3/(-12)). Let t(o) = -5*o**3 - 2*o**2 - 10. What is the remainder when t(n) is divided by 27? 26 Suppose -3*x = 79 - 91, -3443 = -5*q - 2*x. What is the remainder when q is divided by 46? 43 Let o(k) = -2*k**2 + 21*k + 20. Let q(y) be the second derivative of -2*y**3/3 - 9*y**2/2 + 4*y. What is the remainder when q(-11) is divided by o(11)? 8 Calculate the remainder when (((-2070)/(-150))/(-23))/((-2)/1070) is divided by (-4)/6 - (-394)/6. 61 Let a(h) = -h**3 - h**2 + 24*h + 167. Calculate the remainder when a(0) is divided by 6. 5 Suppose 27*f - 52*f - 55 = -30*f. What is the remainder when 2924 is divided by f? 9 Suppose 541 = -3*y + 4*y. Suppo
{ "pile_set_name": "DM Mathematics" }
rob of picking 1 x and 2 g? 7/380 Calculate prob of picking 1 l and 3 u when four letters picked without replacement from uuuuuluu. 1/2 Two letters picked without replacement from {q: 7}. What is prob of picking 2 q? 1 Three letters picked without replacement from wywyiwt. What is prob of picking 2 w and 1 y? 6/35 Calculate prob of picking 1 a, 1 r, and 1 i when three letters picked without replacement from {y: 1, a: 1, k: 4, i: 2, r: 3}. 2/55 What is prob of picking 1 r and 1 t when two letters picked without replacement from bbrbtbrrbbrrbrrrrrrt? 11/95 Two letters picked without replacement from {n: 2, o: 1, i: 7, l: 1, t: 5}. What is prob of picking 1 o and 1 i? 7/120 Two letters picked without replacement from {d: 2, j: 2, q: 1}. Give prob of picking 2 j. 1/10 Calculate prob of picking 3 w and 1 q when four letters picked without replacement from qjwjwwjrqqwjg. 12/715 Two letters picked without replacement from cbbjccccbbbcc. What is prob of picking 1 j and 1 b? 5/78 What is prob of picking 3 f when three letters picked without replacement from effffffffffef? 15/26 Four letters picked without replacement from feefffeefeeeeelfeel. Give prob of picking 1 l and 3 e. 55/646 What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 2, d: 2, p: 4}? 1/7 Four letters picked without replacement from {x: 3, d: 5}. What is prob of picking 4 d? 1/14 Two letters picked without replacement from {x: 1, i: 1, f: 1, t: 1, p: 1}. What is prob of picking 1 t and 1 x? 1/10 Three letters picked without replacement from nxhyhtwwttwhx. What is prob of picking 1 h, 1 w, and 1 y? 9/286 Three letters picked without replacement from {o: 7, a: 4}. Give prob of picking 1 o and 2 a. 14/55 Three letters picked without replacement from {o: 7, a: 1, l: 3, d: 2, n: 2, g: 3}. Give prob of picking 2 o and 1 n. 7/136 What is prob of picking 1 c and 2 w when three letters picked without replacement from {c: 1, w: 10, j: 9}? 3/76 Calculate prob of picking 2 p when two letters picked without replacement from {f: 1, p: 2, q: 7}. 1/45 Calculate prob of picking 2 r when two letters picked without replacement from {q: 4, g: 3, r: 13}. 39/95 Calculate prob of picking 2 f and 1 t when three letters picked without replacement from ffffhthhft. 1/6 What is prob of picking 2 m, 1 l, and 1 i when four letters picked without replacement from mmmllmimi? 20/63 Four letters picked without replacement from ttttjjtjtsjsj. Give prob of picking 4 j. 1/143 Two letters picked without replacement from assaqqqaqsszaaoq. What is prob of picking 1 a and 1 z? 1/24 What is prob of picking 1 g and 1 o when two letters picked without replacement from qqogooq? 1/7 Calculate prob of picking 1 t and 1 x when two letters picked without replacement from xnstx. 1/5 Calculate prob of picking 2 t and 2 n when four letters picked without replacement from nnnnntttntttn. 63/143 Two letters picked without replacement from owhgcwhshwsh. Give prob of picking 1 w and 1 h. 2/11 What is prob of picking 2 c and 1 w when three letters picked without replacement from cwcrwwwwrc? 1/8 Two letters picked without replacement from vvvvv. Give prob of picking 2 v. 1 What is prob of picking 2 c and 2 m when four letters picked without replacement from {c: 2, m: 17}? 2/57 What is prob of picking 1 h and 1 w when two letters picked without replacement from {w: 12, r: 1, h: 6}? 8/19 What is prob of picking 1 k and 2 h when three letters picked without replacement from hhwhwkhkhhwwffhfh? 7/85 Four letters picked without replacement from laylyyllylk. What is prob of picking 1 k, 1 l, and 2 a? 0 What is prob of picking 1 o and 1 q when two letters picked without replacement from ococcaaaojcaeoojqooc? 7/190 Calculate prob of picking 1 h, 1 u, and 1 p when three letters picked without replacement from hpppppuhppupppppppup. 3/38 What is prob of picking 1 q and 1 p when two letters picked without replacement from sqxop? 1/10 Two letters picked without replacement from nnnrrrnnnrrrrnrrrrr. Give prob of picking 1 r and 1 n. 28/57 Calculate prob of picking 2 x when two letters picked without replacement from uuuxdxxx. 3/14 Two letters picked without replacement from {u: 7, y: 9}. What is prob of picking 2 u? 7/40 Three letters picked without replacement from {h: 1, e: 5, k: 6, l: 2, m: 1, j: 1}. Give prob of picking 1 e, 1 j, and 1 m. 1/112 Calculate prob of picking 2 a, 1 l, and 1 x when four letters picked without replacement from {a: 8, l: 5, x: 4}. 4/17 Two letters picked without replacement from aaaaaaaaaama. What is prob of picking 2 a? 5/6 Calculate prob of picking 1 g, 1 b, 1 d, and 1 z when four letters picked without replacement from {d: 1, z: 1, b: 1, w: 2, g: 1, p: 1}. 1/35 Four letters picked without replacement from ffffjfjfjffjff. What is prob of picking 3 f and 1 j? 480/1001 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from ddckpdpdd. 5/18 Four letters picked without replacement from xxrodxssoxsxouuxood. Give prob of picking 1 r and 3 o. 5/1938 Four letters picked without replacement from bmbmbbmmfmfbbb. Give prob of picking 2 f and 2 m. 10/1001 Four letters picked without replacement from {x: 3, q: 6, i: 4, a: 1}. Give prob of picking 1 q, 1 i, and 2 x. 72/1001 Two letters picked without replacement from dkuuxkuuxuuduuuuuu. Give prob of picking 1 d and 1 x. 4/153 Three letters picked without replacement from komkkomomeomkio. What is prob of picking 1 o, 1 i, and 1 k? 4/91 What is prob of picking 2 c and 2 o when four letters picked without replacement from {c: 6, l: 9, o: 4}? 15/646 Calculate prob of picking 1 b, 1 i, and 1 t when three letters picked without replacement from {b: 3, i: 1, t: 4}. 3/14 Calculate prob of picking 1 h and 1 y when two letters picked without replacement from tttththhkggtykhh. 1/24 Calculate prob of picking 1 k and 1 m when two letters picked without replacement from kfkkgkofomokmkm. 6/35 Two letters picked without replacement from {u: 5, s: 2, x: 5}. What is prob of picking 2 s? 1/66 Two letters picked without replacement from {p: 4, z: 1, e: 8}. Give prob of picking 2 p. 1/13 What is prob of picking 1 z and 1 q when two letters picked without replacement from zzqzqzzzzzzzzzzq? 13/40 Calculate prob of picking 4 e when four letters picked without replacement from {a: 5, e: 13}. 143/612 What is prob of picking 1 d and 1 e when two letters picked without replacement from neendeeed? 5/18 Three letters picked without replacement from {r: 2, g: 2, o: 10}. Give prob of picking 3 o. 30/91 Two letters picked without replacement from pllklllkz. Give prob of picking 1 z and 1 k. 1/18 What is prob of picking 1 c and 1 d when two letters picked without replacement from mdmdccdmmmcmmdmm? 1/10 Four letters picked without replacement from {v: 3, b: 4, q: 1, e: 5}. Give prob of picking 1 b, 1 v, and 2 e. 24/143 What is prob of picking 2 d when two letters picked without replacement from eeddefdsef? 1/15 Calculate prob of picking 2 l and 1 j when three letters picked without replacement from jjjljjjjjlljjl. 15/91 Two letters picked without replacement from dcgnnncgug. What is prob of picking 1 n and 1 u? 1/15 Four letters picked without replacement from {i: 10, u: 9}. What is prob of picking 3 u and 1 i? 70/323 Two letters picked without replacement from {j: 2, o: 1, e: 1, a: 1, g: 2}. Give prob of picking 1 o and 1 a. 1/21 Two letters picked without replacement from ttttpttddtod. Give prob of picking 1 p and 1 o. 1/66 Two letters picked without replacement from oxnleolmeolooelo. What is prob of picking 1 o and 1 l? 1/5 What is prob of picking 3 k when three letters picked without replacement from {r: 1, o: 6, d: 5, j: 2, k: 3, u: 3}? 1/1140 Three letters picked without replacement from {o: 4, a: 6, v: 3}. Give prob of picking 1 o, 1 v, and 1 a. 36/143 Four letters picked without replacement from yrrrryrniyrryyrry. What is prob of picking 1 i, 1 n, and 2 r? 9/595 Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 5, u: 5, q: 3}. 15/143 Two letters picked without replacement from blpblqqllpbpxqpbqm. What is prob of picking 1 l and 1 p? 16/153 What is prob of picking 2 i when two letters picked without replac
{ "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" }
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q). q**3 Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b). -b**3 + 2*b - 1 Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) - 3*v(r). 3*r**2 Let t = 7 - 12. Let s = -1 - t. Let k(z) = 3*z - 2. Suppose 0 = 2*l + l + 15. Let x(a) = 4*a - 2. Calculate l*k(o) + s*x(o). o + 2 Let b(d) = 13*d**3 + 3*d**2 + 4*d + 3. Let r(a) = -12*a**3 - 4*a**2 - 5*a - 4. Give -4*b(h) - 3*r(h). -16*h**3 - h Let q(i) = -4*i + 1. Let j(w) = 13*w - 2. What is 4*j(k) + 14*q(k)? -4*k + 6 Suppose 125*b - 20 = 129*b. Let i(k) = k. Let y(x) = 5*x + 1. Let d(o) = -11*i(o) + 2*y(o). Let p(c) = c - 1. What is b*p(f) - 3*d(f)? -2*f - 1 Let h(a) = -8*a + 1. Let z be h(-1). Let l(y) = y - z*y**2 + 9 + y**3 + 0*y**3 - y. Let k(j) = 2*j**3 - 22*j**2 + 22. Determine 5*k(m) - 12*l(m). -2*m**3 - 2*m**2 + 2 Let w(o) = -7*o - 4. Let d(n) = -6*n - 4. Give -4*d(x) + 3*w(x). 3*x + 4 Let g(k) = -7*k - k**3 - k**3 - 5*k**2 + 0*k + 5. Let p(a) = -2*a**3 - 4*a**2 - 6*a + 4. Let q(c) = -c**2 + 16*c + 5. Let n be q(16). Give n*p(d) - 4*g(d). -2*d**3 - 2*d Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h). 6*h Suppose -g + 20 = 3*l, -4*l = -3*g - 16 - 2. Let m(a) = -7*a**2 + 7*a + 4. Let i(t) = t**2 - t - 1. Give l*i(w) + m(w). -w**2 + w - 2 Let u = -16 - -10. Let b(k) = -13*k - 7. Let q(d) = -14*d - 7. Let v(y) = -5*b(y) + 4*q(y). Let i(t) = -5*t - 4. Calculate u*v(j) - 11*i(j). j + 2 Let l(c) be the third derivative of -c**4/6 - 7*c**3/6 - 3*c**2. Let y(q) = 0*q + 3*q + 1 - 2*q. Calculate l(p) + 6*y(p). 2*p - 1 Let i(r) = -2*r**2 + 4*r + 6. Let s(y) = y**2 - y - 1. Let m be (-2)/(((-1)/3 + 0)*6). Calculate m*i(u) + 4*s(u). 2*u**2 + 2 Suppose 4*h - 10 = 2*i, 11 = -2*i + 2*h + 3*h. Let r(n) = 2*n + 5. Let v(m) = 3*m + 9. What is i*v(f) + 5*r(f)? f - 2 Let x(j) = -9*j + 5. Let l(o) = 0*o - 3 - 4*o + 5. Suppose -2*w + w = -5. Calculate w*l(p) - 2*x(p). -2*p Let j(z) = -z**2 + 3*z + 4. Let s(i) = 2*i**2 - 5*i - 7. Let c = -104 - -107. Give c*s(m) + 5*j(m). m**2 - 1 Let d(c) = 4*c - 3. Let w(l) = 63*l - 48. Let k(u) = 42*u - 32. Let v be ((-3)/(-2))/((-3)/(-10)). Let r(h) = v*w(h) - 8*k(h). Calculate -11*d(m) - 2*r(m). -2*m + 1 Let c(o) = 4*o**2 - o - 2. Let i be 3 + 3 + -1*8. Let k(s) = 9*s**2 - 3*s - 5. Give i*k(p) + 5*c(p). 2*p**2 + p Let d(a) = -a - 1. Let x(y) = 2*y**2 - 2*y - 3. Calculate 3*d(u) - x(u). -2*u**2 - u Let f(u) = 16*u + 4. Let b(n) = -4*n - 1. Calculate 9*b(w) + 2*f(w). -4*w - 1 Suppose -5*r - 6 = -16. Let k(g) = 10*g**3 - 9*g**2 - 9*g + 9. Let p(v) = -v**3 + v**2 + v - 1. Let h(d) = 19*d - 1. Let n be h(1). Determine n*p(o) + r*k(o). 2*o**3 Let p(c) = -c**2 + 2*c - 3. Let n(z) = z**2 - z + 2. Give -5*n(t) - 3*p(t). -2*t**2 - t - 1 Let c(z) = 1 + 2 - 1 - z**2. Let h(b) = -2*b**2 - b + 5. Give 5*c(o) - 2*h(o). -o**2 + 2*o Let z(r) = -15*r**2. Let a(h) = -8*h**2 - 5*h**2 + 10*h**2. Determine 11*a(x) - 2*z(x). -3*x**2 Let m(u) = -16*u + 4. Let c(y) = -5*y + 1. What is 7*c(w) - 2*m(w)? -3*w - 1 Let w(p) = -p**3 + 4*p**2 - 2*p. Let c(r) = 5*r**3 - 17*r**2 + 9*r + 1. Determine 2*c(a) + 9*w(a). a**3 + 2*a**2 + 2 Let n(i) = 2. Let k(g) = 2*g + 25. What is -k(b) + 5*n(b)? -2*b - 15 Let b(a) = -a**2 - 3*a + 1. Let y(u) = -u**2 - 2*u + 1. Give -3*b(s) + 5*y(s). -2*s**2 - s + 2 Let i(r) = 2*r**3 - 2*r - 2. Let o(g) = g**3 - 2*g - 1. Suppose 3*s + 2 = -7. Let v be 3 + s*2/(-6). What is v*o(z) - 3*i(z)? -2*z**3 - 2*z + 2 Suppose 5*m - 2*a + 30 = -7*a, -2 = 2*a. Let f(n) = 22*n**2 - 16*n - 16. Let j(o) = -7*o**2 + 5*o + 5. Determine m*f(t) - 16*j(t). 2*t**2 Let m be (-77)/44 + 5/(-4). Let r(w) = -w**3 + w**2 + 3*w. Let n(a) = 3*a**3 - 2*a**2 - 8*a. What is m*n(i) - 8*r(i)? -i**3 - 2*i**2 Let r(m) = -15*m**3 - 13*m**2 - m - 17. Let a(i) = 7*i**3 + 6*i**2 + i + 8. Determine -13*a(b) - 6*r(b). -b**3 - 7*b - 2 Let f(c) = 3*c + 2. Let o(j) = -4*j - 3. Let w(r) = -3*f(r) - 2*o(r). Let d(y) = 2*y - 1. Determine -3*d(m) - 4*w(m). -2*m + 3 Let m(a) = -a + 1. Let i = -118 + 122. Let f(q) be the second derivative of 0 - 1/2*q**2 + 1/6*q**i - 2*q + 1/6*q**3. Calculate -f(d) - m(d). -2*d**2 Let c(k) = k. Let u(p) = -6*p + 4. Give -3*c(o) - u(o). 3*o - 4 Let d(x) = -x - 4. Let p(z) = -7 - 2*z + 5 - 18 - 2*z. Give -14*d(b) + 3*p(b). 2*b - 4 Let m(q) = 11*q + 5. Let v(i) = -5*i - 5. Let y(x) = x - 1. Let a(j) = -v(j) + 2*y(j). What is 8*a(p) - 5*m(p)? p - 1 Let r(f) = f + 1. Let a(v) be the second derivative of v**3/6 + 13*v. Give a(p) - 2*r(p). -p - 2 Let v be ((-22)/(-8))/(4/(-16)). Let c be 2/v + 2/11. Suppose c*t + 1 = t. Let h(i) = -i + 1. Let w(z) = 2*z - 2. What is t*w(m) + 4*h(m)? -2*m + 2 Let w(r) = -7*r**2 - 9. Let s(u) = -1. Determine -18*s(f) + 2*w(f). -14*f**2 Let n(x) = x**2 + 3*x - 4. Let b be n(3). Let u(l) = l**2 - b*l - 4*l**2 + 2*l**2 + 13*l. Let k(y) = 2*y**2 + 5*y + 1. Give -k(r) - 3*u(r). r**2 - 2*r - 1 Suppose 0*j - 6 = 2*j + 4*w, j = -5*w. Let n(o) = -8*o**3 + 5*o - 5. Let k(l) = -l**3 + l - 1. Calculate j*k(b) + n(b). -3*b**3 Suppose -4*i + 0*z - 5*z - 9 = 0, 3*z = i - 19. Suppose 3*f = i*f - 1. Let u(n) = 2 - f - n + 0. Let k(p) = p**2 - 5*p + 1. What is -k(h) + 3*u(h)? -h**2 + 2*h + 2 Suppose 3*s = 5*i - 26 + 8, -5*i - 5*s = -50. Let h(u) = 2*u + 11. Let g(o) = -4*o - 23. Let b(c) = i*g(c) + 13*h(c). Let j(f) = 2*f + 4. Give -4*b(n) + 5*j(n). 2*n Let s(a) = -3. Let r(b) = b + 10. Let m(u) = 2*u - 49. Let t be m(21). Calculate t*s(z) - 2*r(z). -2*z + 1 Let x(d) = -1. Let n(c) be the second derivative of -3*c**5/20 - c**4/12 - 5*c**2/2 + 3*c. Calculate n(a) - 5*x(a). -3*a**3 - a**2 Let l(g) = g**3 - g**2 + 1. Let x(o) = 13*o**3 - 6*o**2 + 4. Determine -4*l(b) + x(b). 9*b**3 - 2*b**2 Let n(b) = 3*b**3 + b**2 + 6*b + 6. Suppose -j = -108 + 103. Let f(w) = 2*w**3 + w**2 + 5*w + 5. Determine j*n(l) - 6*f(l). 3*l**3 - l**2 Let w be 6/10 + (-12)/20. Suppose w = -5*s + 4*s + 5. Let p(a) = a + 3. Let k(g) = 1. Give s*k(c) - p(c). -c + 2 Let r(z) = -210*z + 85. Let d(j) = -5*j + 2. Determine 255*d(q) - 6*r(q). -15*q Let o(m) = -5*m**3 + 8*m**2 + 7*m + 5. Let d(v) = 4*v**3 - 7*v**2 - 6*v - 4. Determine -6*d(t) - 5*o(t). t**3 + 2*t**2 + t - 1 Let v(p) = -989*p**3 + 115*p + 115. Let h(t) = 26*t**3 - 3*t - 3. Determine -115*h(l) - 3*v(l). -23*l**3 Let x(t) = 6*t**2 - 5*t + 7. Suppose -2*q + 3*i + 2*i = 2, -5*q - 40 = 5*i. Let u(z) = 2 + 7*z**2 - 11*z + 6 + 5*z. Calculate q*x(d) + 5*u(d). -d**2 - 2 Let j(d) = d + 2. Let k = 28 + -23. Let b(i) = 2*i**2 - 11*i + 2. Let v be b(k). Let u(z) = 1. What is v*u(a) + j(a)? a - 1 Let n(x) = 3*x**2 - 6*x. Let c(m) = -m - 12. Let p be c(-11). Let i(a) = 8*a + a - 8*a - 2*a. Give p*n(f) + 5*i(f). -3*f**2 + f Let t(k) = -13*k**3 - 11*k**2 - 15*k + 9. Let h(i) = -7*i**3 - 6*i**2 - 8*i + 5. Calculate 11*h(g) - 6*t(g). g**3 + 2*g + 1 Let x(f) = 3*f**3 + 5*f**2 - 6*f + 1. Let s(m) = -4*m**3 - 6*m**2 + 7*m - 1. Suppose 188 = 2*t + 16. Let p be t/18 - 16/(-72). Give p*s(j) + 6*x(j). -2*j**3 - j + 1 Let o(f) = 16*f**2 - f + 1. Let x(y) = 15*y**2 - y + 1. What is -4*o(n) + 3*x(n)? -19*n**2 + n - 1 Let q(p) = 2*p + 4. Let v(u) = -4*u - 8. Give -9*q(l) - 4*v(l). -2*l - 4 Suppose -4*a + 315 = 3*l, -2*a + 210 = 2*l - 0*a. Let f(u) = 105*u - l*u + u**2. Let z(k) = -k**3 - k**2. Give f(h) + z(h). -h**3 Let o(p) = 4*p**3 - 10*p**2 - 10*p - 10. Let k(h) = h**3 - 3*h**2 - 3*h - 3. Determine 20*k(g) - 6*o(g). -4*g**3 Let i(z) = 320*z. Let s(d) = 11*d. Give -6*i(g) + 176*s(g). 16*g Let f = -12 - -15. Suppose -f*m = -2*m - 4. Let v(w) = -5*w**2 - 14*w + 6. Let j(x) = 2*x**2 + 5*x - 2. What is m*v(t) + 11*j(t)? 2*t**2 - t + 2 Let i(g) = -3*g**2 + 7*g - 8. Let h(j) = j**2 - 3*j + 4. Suppose -1 - 5 = f - d, 0 = -2*f + 3*d - 13. Determine f*h(a) - 2*i(a). a**2 + a - 4 Let y(c) = 6*c**2 + c**3 - 2*c**2 - 3*c + c**3. Let h(l) = l**2 - l. Give -4*h(j) + y(j). 2*j**3 + j Let p(u) = u**3 - u**2 + u + 1. Let x be -2 + (-3)/(6/(-8)). Let y(i) = i**3 + x*i**2 + 6*i**2 - 7*i**3 - 5*i - 5 - 3*i**2. Determine 5*p(b) + y(b). -b**3 Let u(t) be the first derivative of t**3/6 - t**2 - 4*t - 5. Let o(s) be the first derivative of u(s). Let z(j) = 2. Give 2*o(n) + 3*z(n). 2*n + 2 Let w(r) = 5*
{ "pile_set_name": "DM Mathematics" }
-4 Suppose 2*c = -2*s + 38, s = -4*c + 2*c + 23. Let w = 37 - s. Solve 5*g + 3 + w = 0 for g. -5 Let n(a) = a**2 + 12*a + 4. Let j be n(-12). Suppose 0 = 2*l - j*l + 4. Solve 0*b = l*b for b. 0 Suppose -5*w = -3*w. Suppose i - 6 = -4*q, 3*q - i = 8 - w. Suppose -5*x + 15 = 2*o, 5*o + 4 = 4*x - 8. Solve k - q = -o for k. 2 Let u(l) be the second derivative of l**5/4 + l**4/12 - l**3/2 + l**2/2 - l. Let t be u(2). Let i = t + -27. Solve -i = k + 2*k for k. -4 Let m be (0 + 0)*(-3)/(-9). Solve -3*b + 6 + 6 = m for b. 4 Suppose 5*c = 0, -4*r + r - 24 = 3*c. Let i = 16 + r. Solve -i*v + 3*v = 10 for v. -2 Let w(u) be the third derivative of -u**5/60 - u**4/3 - 3*u**3/2 + 3*u**2. Let j be w(-6). Suppose j*m + 1 = 7. Solve 5 = -m*y - 1 for y. -3 Let g = 101 - 63. Suppose 4*v = -5*s - 46, -v - s - g = 3*v. Let x = 14 + v. Solve x*a - 25 = -0*a for a. 5 Let f be ((-9)/(-27))/(138/45 - 3). Solve f - 14 = -3*o for o. 3 Let j be -18*-2*(-1)/(-3). Suppose 3*s + 3 = j. Solve 0 = s*z - 15 - 0 for z. 5 Let s = -1 + 1. Let d be 8*14/70 + (-4)/(-10). Solve -d*o = -s*o + 4 for o. -2 Let g = 5 - 1. Solve g*p = -0*p + 12 for p. 3 Let h(u) = -u - 7. Let n be h(-10). Suppose n*l = 6*l. Solve -5*a - 13 + 3 = l for a. -2 Let l be (36/(-15) - -3)*5. Suppose 0 = -b + l. Solve -5 = b*u + 2*u for u. -1 Let x(n) = -n**2 + n. Let i be x(-1). Let h be (57/(-6))/(1/i). Let a be h/2 + (-4)/8. Solve 25 = 4*f + a for f. 4 Let h = 9 - 4. Let z(v) = -v**3 - 7*v**2 + 6*v + 1. Let w be z(-8). Let x = w - h. Solve k + x = -3*k for k. -3 Let h(n) = -n**2 - 5*n. Let y be h(-4). Suppose -2*g + g + 16 = 0. Solve -y*o + 0*o = g for o. -4 Suppose d = -3*d + 8. Suppose m + 4*v + 4 = 0, 3 = d*v - 1. Let s be (-27)/(-18)*m/(-2). Solve 16 = -5*i - s for i. -5 Suppose 2*l - 7*l = 2*i - 54, -4*i + 38 = 3*l. Let c(z) = z - 7. Let o be c(9). Solve -3*h - o = l for h. -4 Suppose 27 + 3 = 3*h. Let m = 12 - h. Solve m = 3*v - 7 for v. 3 Let v be ((-8)/(-5))/(5/50). Let q = 17 - v. Solve 0*f = -f + q for f. 1 Let y be 0/(-2 - -2 - -2). Solve 3*q = 3 - y for q. 1 Suppose -c - 3 = 2*c + n, 4*n = 5*c - 12. Let o(p) = p + 1. Let a be o(c). Solve -a = 3*l - 4 for l. 1 Let o(w) = w**3 + 20*w**2 + 19*w + 2. Let i be o(-19). Solve -i*r = -7*r for r. 0 Let q = 8 - 19. Let m = q - -13. Solve -7 = g - m for g. -5 Let q be ((-3)/4)/((-12)/64). Solve p + 2 = q for p. 2 Let n(j) = -2 + j - 10*j - 6*j. Let p be n(-8). Suppose 0 = 3*k - 0*s + 2*s - 86, -3*s - p = -5*k. Solve 6 = -4*g + k for g. 5 Suppose 2*h - h - 3 = 0. Suppose -1 = 5*p + m + 7, 4*m - 6 = -p. Let l be (3/p)/((-12)/32). Solve -5 = -h*v + l for v. 3 Let b = 4 - 6. Let i be (3/b)/((-3)/18). Solve j + i = 4*j for j. 3 Let n(s) = 3*s**2 - 33*s - 30. Let x(z) = z**2 - 11*z - 10. Let o(g) = -3*n(g) + 8*x(g). Let j be o(10). Solve -3*d - 2*d = -j for d. 4 Let y(c) = -c**2 + 13. Let f be y(0). Solve -5*o + 2 = -f for o. 3 Let i(y) = 3*y + 65. Let u be i(-20). Solve 2 = u*d - 8 for d. 2 Let j = 19 - 19. Suppose -5*d - 4 + 19 = 0. Solve s + j*s = d for s. 3 Let t(g) = -g**2 + 5*g. Let b be t(4). Let o(h) = -h - 2. Let z be o(-3). Solve 0 = -b*l + 9 - z for l. 2 Let c(f) = -f**2 - 11*f + 26. Let l be c(-13). Solve -u = -l*u + 4 for u. -4 Let p be 2*(-12)/(-32)*4. Solve 0 = p*r - 2*r - 2 for r. 2 Suppose r - 12 = -0*r - 2*m, -10 = -5*m. Suppose 3*o + 20 = r*o. Solve 0 = -0*y + o*y for y. 0 Let m = -20 + 24. Let h be (-4)/(-1) - (0 - -1). Solve h*v - 5 = m for v. 3 Suppose -b + 3*d - 7 = -d, 2*d = 2*b - 4. Suppose b*a = -0*a. Solve 5*u = -a*u for u. 0 Suppose -11 + 61 = 5*d. Let l(y) = -4*y - 7. Let b be l(-7). Let q = -11 + b. Solve -q - d = 5*g for g. -4 Let n(f) = -f**3 + 6*f**2 - 4*f - 4. Let j be n(5). Let w be (3/3)/j + 3. Solve w*i - 17 = -1 for i. 4 Let i be 0/(-3 + 2 + -1). Suppose -3*m + i*m = 0. Solve m = -4*y - 13 + 1 for y. -3 Suppose -2*y = 4 - 14. Suppose 3*d - 3 = -3*i, y*d + i = -1 + 10. Let p(z) = z**2 - 3*z - 4. Let l be p(5). Solve d*m - l*m = -4 for m. 1 Let b(a) = a + 8. Let c be b(-6). Let p be 2 + 0 + 0 + c. Solve 3*j = p - 19 for j. -5 Let x = -14 - -14. Solve -6*l + l + 5 = x for l. 1 Suppose 5 = 3*v - 7. Solve -v = 3*c - c for c. -2 Let g be (-4)/2*35/(-14). Solve -t = -0*t - g for t. 5 Suppose 0 = -6*o + o + 75. Suppose 0*s + o = 3*s. Let j be (3/1)/(11/11). Solve 4*w - s*w = j for w. -3 Let c be (2/3)/(8/(-12)). Let b = 2 - c. Solve -b*f + 4 = -f for f. 2 Let x(y) = 2*y**2 - 2 - y + y**3 - 3*y**2 + 0*y**2 - 2*y**3. Let m = 5 - 7. Let w be x(m). Solve 0 = v + 3 - w for v. 1 Suppose 27 + 33 = 12*p. Solve 3*d - p - 1 = 0 for d. 2 Suppose 0 = -4*l - 3*z - 13, -z = 2*l + 4 + 1. Let m = 0 - l. Let j = 1 - m. Solve j = 5*x - 2*x for x. 0 Suppose j - 4 = -3*p - 1, 5*p + 2*j - 6 = 0. Solve p = -m - 1 for m. -1 Let k be 3/(-2) + 14/4. Solve 0*v + k*v = 8 for v. 4 Suppose -5*f + 4 = -p + 32, -3*p - 16 = 5*f. Solve 1 = c + p for c. -2 Let p = 166 - 116. Suppose 0 = 3*t + 2*t - p. Solve t = 4*q - 9*q for q. -2 Suppose -3*w = -0*w. Solve 4*k = -w*k for k. 0 Let b = 3 - 3. Suppose k + 2*t = 3, 0 = -0*k - 2*k + 4*t + 6. Solve b = -0*w + 3*w - k for w. 1 Suppose -5*m + 16 = -2*w, -m - 14 = -w - 4*m. Suppose 1 = -3*v - o + 3, -2*o - 4 = w*v. Suppose -5*d = 3*i - 88, 0*i = v*d + 3*i - 28. Solve d = -4*q + 4 for q. -4 Suppose -20 = -j + 3*x, -2*x - 3*x - 15 = 2*j. Suppose 5 = r - 0. Suppose -3*s + 3*y + 10 = -4*s, -4*s - j*y - r = 0. Solve -4 - 6 = -s*p for p. 2 Let p be 309/21 - (-4)/14. Let s = 22 + -18. Solve -s*a + 1 = -p for a. 4 Let o(k) = -k**3 - 4*k**2 - 5*k - 2. Let w be o(-3). Let c be (-4)/(-2)*10/w. Solve -c*t - 10 = -3*t for t. -5 Let j be 4/(-10) - (-36)/15. Let y(u) = u. Let h be y(0). Suppose -3*m + h*m - 12 = 0, 3*c - 4*m = 25. Solve -j*r - 15 = c*r for r. -3 Let g be 4/(-7)*(4 - 11). Suppose 5*t + 0 = -5, 3*q - g*t = 13. Solve 2*x = -q*x - 10 for x. -2 Suppose 0 = 2*f + 2*f - 108. Solve -11 + f = 4*v for v. 4 Let y be (2/1)/(10/(-45)). Let m = 14 + y. Solve -2*n = 3 + m for n. -4 Let r be ((-12)/8)/((-2)/(-24)). Let a be (-4)/r + 4/(-18). Solve a = -0*l - 3*l for l. 0 Let o(d) be the third derivative of d**6/120 + d**5/20 - d**4/6 + d**3/3 + 2*d**2. Let l be o(-4). Solve 6*u - 4 = l*u for u. 1 Suppose 8*b = 10 + 14. Solve -b*w = -6*w + 9 for w. 3 Let z(i) = -2 - 8*i + 5*i + 2*i + 6. Let k be z(2). Let j be 10*k/12*3. Solve -j*d = -d - 12 for d. 3 Let h = -13 - -12. Let m = 3 - h. Solve q - m = -0*q for q. 4 Let u(c) = -7*c - 3. Let v(f) = 27*f + 11. Let g(a) = 22*u(a) + 6*v(a). Let i be g(1). Solve 7 + i = 5*l for l. 3 Let c = 3 - 0. Suppose -c*g = 2*g + 5. Let o be (1/g)/((-3)/9). Solve 0 = o*b - 4*b for b. 0 Let n(d) = -d + 1. Let k be n(4). Let i be -1 + -10 - (k - -1). Let o(l) = -l**3 - 9*l**2 - 2*l - 8. Let q be o(i). Solve -5*f - 10 = q for f. -4 Let i be ((-1)/(-2))/(1/6). Let p(c) = c + c**2 + i - 1 - 2. Let k be p(-1). Solve -5*l = -k*l for l. 0 Let m = 25 - 16. Suppose -20 = -33*v + 28*v. Solve o = v*o - m for o. 3 Let g(m) = -m**2 + 6*m - 6. Let j be g(3). Solve 2*f + j*f = 20 for f. 4 Let p(b) = -7*b**2 - b + 10. Let w(a) = 11*a**2 + a - 15. Let h(t) = -8*p(t) - 5*w(t). Let s be h(-5). Solve v + s = 3 for v. -2 Suppose 3*t - 46 = 7*t + 3*s, t + 2 = 4*s. Suppose -3*j + 25 - 70 = 0. Let g be (-86)/t + j/25. Solve -l - l = -g for l. 4 Let z be 8 + (-4)/(-12)*0. Solve -u = u - z for u. 4 Suppose -3*m + 5*w + 39 = -1, 0 = 5*m + 2*w - 46. Solve -m = 3*j - j for j. -5 Let v be (-3)/(-2)*(-12)/(-6). Solve v*j + 0*j = 3 for j. 1 Let t = 32 + 14. Let z = 67 - t. Let j = -13 + z. Solve -5*h + j + 2 = 0 for h. 2 Let p = -15 + 21. Solve -p*s + s + 15 = 0 for s. 3 Suppose -2*c + 2*n + 7 = -1, -n = c + 2. Suppose -c = -5*h + 9. Solve -14 = -4*v + h for v. 4 Suppose -3*h = 2*h + 10. Let a be (-29)/9 + h/(-9). Let s be a/(-2)*16/6. Solve s*q = q for q. 0 Suppose 11 - 39 = 2*i. Let f = i + 20. Solve w = f*w for w. 0 Let c be -3*(5/(-3) - -1). Solve 3*d - c*d = -1 for d. -1 Let f = -99 + 101. Solve -f*r = r + 9 for r. -3 Let c(l) = -l**3 + l - 1. Let y be c(1). Let x = 3 + y. Let k be (-1)/x + (-5)/(-10). Solve k*v + 12 = -4*v for v. -3 Let o be 9/2 - 9/18. Solve o*y = -3 - 5 for y. -2 Let g(j) = 0*j**3 + 3*j**2 + 1 + j**3 + 3 - j**2 - 2*j. Let i be g(-3). Suppose 4*v - 7 - 9 = 0. Solve 7 = -v*r - i for r. -2 Let o(k) = k**3 - 5*k**2 +
{ "pile_set_name": "DM Mathematics" }
, 736, 735? -o + 738 What is the u'th term of -39, -128, -217, -306? -89*u + 50 What is the q'th term of -1046, -2094, -3142, -4190, -5238? -1048*q + 2 What is the b'th term of -1664, -1687, -1724, -1781, -1864, -1979, -2132, -2329? -b**3 - b**2 - 13*b - 1649 What is the h'th term of 82, 165, 226, 253, 234, 157? -2*h**3 + h**2 + 94*h - 11 What is the g'th term of -24, -179, -576, -1335, -2576, -4419, -6984, -10391? -20*g**3 - g**2 - 12*g + 9 What is the p'th term of -156, -171, -186, -201, -216, -231? -15*p - 141 What is the u'th term of 217, 225, 235, 247, 261, 277? u**2 + 5*u + 211 What is the j'th term of -27, -26, -25, -24? j - 28 What is the c'th term of 26, 46, 54, 44, 10, -54, -154, -296? -c**3 + 27*c What is the y'th term of -12, -25, -50, -93, -160, -257? -y**3 - 6*y - 5 What is the h'th term of 2757, 2777, 2809, 2859, 2933, 3037, 3177, 3359? h**3 + 13*h + 2743 What is the p'th term of 7, 31, 79, 157, 271, 427, 631, 889? p**3 + 6*p**2 - p + 1 What is the f'th term of 231, 210, 189, 168, 147? -21*f + 252 What is the d'th term of 36, 74, 112? 38*d - 2 What is the g'th term of -29, -35, -57, -107, -197, -339, -545? -2*g**3 + 4*g**2 - 4*g - 27 What is the w'th term of -1277, -2553, -3829, -5105, -6381? -1276*w - 1 What is the x'th term of 65, 119, 177, 239, 305? 2*x**2 + 48*x + 15 What is the j'th term of -6, -28, -52, -72, -82? j**3 - 7*j**2 - 8*j + 8 What is the b'th term of -295, -593, -891, -1189? -298*b + 3 What is the y'th term of -27574, -55147, -82720, -110293, -137866, -165439? -27573*y - 1 What is the s'th term of 63, 62, 61, 60, 59, 58? -s + 64 What is the w'th term of -89, -186, -293, -416, -561, -734? -w**3 + w**2 - 93*w + 4 What is the m'th term of -309, -342, -365, -372, -357, -314, -237? m**3 - m**2 - 37*m - 272 What is the o'th term of 290, 289, 290, 293, 298, 305, 314? o**2 - 4*o + 293 What is the x'th term of -42, -77, -112? -35*x - 7 What is the p'th term of 5, 29, 89, 203, 389, 665, 1049? 3*p**3 + 3*p - 1 What is the g'th term of -3409, -3418, -3439, -3478, -3541, -3634? -g**3 - 2*g - 3406 What is the w'th term of 544, 542, 538, 532, 524, 514, 502? -w**2 + w + 544 What is the g'th term of 211, 416, 615, 808, 995, 1176, 1351? -3*g**2 + 214*g What is the c'th term of -41, -97, -183, -293, -421, -561, -707? c**3 - 21*c**2 - 21 What is the d'th term of 925, 1839, 2741, 3625, 4485, 5315, 6109, 6861? -d**3 + 921*d + 5 What is the p'th term of 139, 278, 421, 568, 719, 874? 2*p**2 + 133*p + 4 What is the c'th term of -206, -202, -196, -188, -178, -166? c**2 + c - 208 What is the d'th term of -20, -26, -36, -50, -68, -90? -2*d**2 - 18 What is the k'th term of 2801, 5604, 8407? 2803*k - 2 What is the s'th term of 52, 180, 384, 658, 996, 1392? -s**3 + 44*s**2 + 3*s + 6 What is the r'th term of 26, 71, 154, 293, 506, 811, 1226, 1769? 3*r**3 + r**2 + 21*r + 1 What is the s'th term of 15, 47, 107, 201, 335, 515, 747, 1037? s**3 + 8*s**2 + s + 5 What is the w'th term of 8003, 7998, 7989, 7976, 7959? -2*w**2 + w + 8004 What is the f'th term of -71, -135, -199, -263? -64*f - 7 What is the v'th term of 470, 938, 1406, 1874, 2342? 468*v + 2 What is the b'th term of 100, 405, 912, 1621, 2532, 3645? 101*b**2 + 2*b - 3 What is the h'th term of 257, 515, 771, 1025, 1277, 1527? -h**2 + 261*h - 3 What is the a'th term of -531, -525, -509, -477, -423, -341, -225, -69? a**3 - a**2 + 2*a - 533 What is the w'th term of 345, 344, 343, 342, 341? -w + 346 What is the v'th term of 2146, 2144, 2142, 2140, 2138? -2*v + 2148 What is the s'th term of 468, 930, 1382, 1818, 2232? -s**3 + s**2 + 466*s + 2 What is the l'th term of 697, 702, 711, 724, 741, 762? 2*l**2 - l + 696 What is the t'th term of 391, 365, 301, 181, -13? -3*t**3 - t**2 - 2*t + 397 What is the r'th term of -50, -41, -42, -59, -98, -165? -r**3 + r**2 + 13*r - 63 What is the l'th term of 41, 13, -41, -127, -251, -419? -l**3 - 7*l**2 + 49 What is the q'th term of 9, 27, 51, 81? 3*q**2 + 9*q - 3 What is the f'th term of -84, -345, -780, -1389, -2172, -3129, -4260? -87*f**2 + 3 What is the n'th term of 5, 11, 11, -1, -31, -85, -169, -289? -n**3 + 3*n**2 + 4*n - 1 What is the m'th term of 2852, 2832, 2800, 2750, 2676, 2572, 2432, 2250? -m**3 - 13*m + 2866 What is the n'th term of 21, -49, -225, -555, -1087? -8*n**3 - 5*n**2 + n + 33 What is the z'th term of 5, 24, 53, 92, 141, 200, 269? 5*z**2 + 4*z - 4 What is the w'th term of 53, 208, 465, 824? 51*w**2 + 2*w What is the g'th term of -41, -343, -1153, -2723, -5305, -9151, -14513? -42*g**3 - 2*g**2 - 2*g + 5 What is the a'th term of -9473, -9470, -9465, -9458? a**2 - 9474 What is the j'th term of -22, -100, -232, -412, -634, -892, -1180, -1492? j**3 - 33*j**2 + 14*j - 4 What is the y'th term of 456, 457, 458? y + 455 What is the m'th term of 14, 68, 162, 302, 494, 744, 1058, 1442? m**3 + 14*m**2 + 5*m - 6 What is the d'th term of -27, -33, -63, -129, -243, -417? -2*d**3 + 8*d - 33 What is the o'th term of 181, 390, 627, 898, 1209, 1566, 1975, 2442? o**3 + 8*o**2 + 178*o - 6 What is the h'th term of -2592, -2591, -2590, -2589, -2588? h - 2593 What is the r'th term of -35, -65, -103, -155, -227, -325, -455? -r**3 + 2*r**2 - 29*r - 7 What is the t'th term of -13, -14, -15, -16, -17? -t - 12 What is the i'th term of -20, -137, -464, -1109, -2180, -3785? -18*i**3 + 3*i**2 - 5 What is the w'th term of 1, 21, 53, 97, 153, 221? 6*w**2 + 2*w - 7 What is the a'th term of 113, 118, 123? 5*a + 108 What is the z'th term of 120, 128, 148, 186, 248, 340? z**3 + z + 118 What is the s'th term of 37, 174, 405, 730? 47*s**2 - 4*s - 6 What is the n'th term of -1, 46, 125, 236, 379, 554, 761? 16*n**2 - n - 16 What is the o'th term of -11, -72, -247, -596, -1179, -2056, -3287, -4932? -10*o**3 + 3*o**2 - 4 What is the q'th term of -139, -547, -1227, -2179, -3403, -4899, -6667? -136*q**2 - 3 What is the u'th term of -4180, -4183, -4186, -4189? -3*u - 4177 What is the u'th term of -3, -17, -61, -153, -311, -553, -897, -1361? -3*u**3 + 3*u**2 - 2*u - 1 What is the z'th term of 2, -29, -80, -151, -242, -353? -10*z**2 - z + 13 What is the o'th term of -36, -21, -2, 21, 48, 79, 114? 2*o**2 + 9*o - 47 What is the u'th term of 23, 99, 225, 401, 627, 903, 1229? 25*u**2 + u - 3 What is the k'th term of 43, 66, 101, 154, 231? k**3 + 16*k + 26 What is the g'th term of -311, -302, -281, -242, -179, -86, 43? g**3 + 2*g - 314 What is the k'th term of -31608, -31610, -31612? -2*k - 31606 What is the j'th term of 230, 206, 182? -24*j + 254 What is the n'th term of 4, -2, -8? -6*n + 10 What is the m'th term of 14, 51, 142, 311, 582, 979, 1526, 2247? 4*m**3 + 3*m**2 + 7 What is the x'th term of -97, -201, -327, -481, -669, -897? -x**3 - 5*x**2 - 82*x - 9 What is the k'th term of -3780, -3640, -3490, -3324, -3136, -2920, -2670? k**3 - k**2 + 136*k - 3916 What is the d'th term of 30, -29, -90, -153, -218, -285, -354? -d**2 - 56*d + 87 What is the n'th term of -208, -205, -200, -193, -184, -173, -160? n**2 - 209 What is the y'th term of -26535, -26531, -26525, -26517, -26507, -26495, -26481? y**2 + y - 26537 What is the n'th term of 99, 185, 261, 327, 383, 429? -5*n**2 + 101*n + 3 What is the m'th term of 3, 7, 11, 15, 19? 4*m - 1 What is the d'th term of 3, 20, 51, 102, 179, 288, 435, 626? d**3 + d**2 + 7*d - 6 What is the t'th term of 2289, 2287, 2287, 2289? t**2 - 5*t + 2293 What is the n'th term of 2229, 4463, 6697? 2234*n - 5 What is the l'th term of -15, -24, -45, -84, -147, -240, -369, -540? -l**3 - 2*l - 12 What is the k'th term of -59, -64, -55, -26, 29, 116, 241, 410? k**3 + k**2 - 15*k - 46 What is the h'th term of -99, -162, -223, -282, -339, -394? h**2 - 66*h - 34 What is the o'th term of 26, 43, 48, 23, -50, -189? -3*o**3 + 12*o**2 + 2*o + 15 What is the s'th term of 27, 34, 47, 66, 91, 122? 3*s**2 - 2*s + 26 What is the v'th term of -19, -48, -75, -100, -123, -144? v**2 - 32*v + 12 What is the h'th term of 5728, 5727, 5726, 5725, 5724, 5723? -h + 5729 What is the k'th term of -116, -229, -342? -113*k - 3 What is the s'th term of -37, -23, -1, 35, 91, 173, 287, 439? s**3 - 2*s**2 + 13*s - 49 What is the l'th term of -7, -62, -211, -502, -983, -1702, -2707, -4046? -8*l**3 + l**2 - 2*l + 2 What is the l'th term of 89, 168, 237, 290, 321, 324? -l**3 + l**2 + 83*l + 6 What
{ "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" }
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number? True Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite? True Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number? True Suppose -5*d + t + 590312 = 0, -4*t - 115288 = -2*d + 120826. Is d composite? True Let s(b) = b + 1. Let d(k) = 15*k**2 + 2*k + 16. Let a(w) = 5*w**2 + w + 5. Let g(j) = 8*a(j) - 3*d(j). Let o(n) = -g(n) - 2*s(n). Is o(5) a composite number? True Suppose -507 = -5*d + 848. Suppose 4*z - d = 5*x, -247 = -3*z - 2*x - 3*x. Let y = -37 + z. Is y composite? False Let g be 5 + -3 + 0 + (-1)/(-1). Let h(n) = 14*n**3 + n**2 - 4*n + 2. Is h(g) a prime number? False Let o(z) = 3*z + 15. Let p be o(-6). Is 660 - p - (0 - -1) prime? False Let o(k) = 7*k + 1. Let i be o(-5). Is (-8 + -30)*i/4 composite? True Let o = -10 - -13. Suppose -f - 2 = o. Let x(u) = -36*u + 5. Is x(f) a composite number? True Let u = 14593 - 10146. Is u prime? True Let y(i) = -1338*i - 575. Is y(-11) a prime number? True Suppose 4*g + n = -n - 20, -g = 2*n + 5. Let z(f) = 6 + 5 - 169*f**3 - 2*f**2 + 168*f**3 - f - 12 + 0*f. Is z(g) a composite number? False Suppose 7*u - 7 = 266. Suppose 40*z = u*z + 485. Is z prime? False Suppose 2*m - 3*m = 4*z, 5*z = 0. Suppose o = -m*o + 319. Is o prime? False Suppose 4*b - g = -1 - 42, -4*g = 4*b + 68. Let y be 508/b*(-17 + 2). Suppose -p = 4*p - y. Is p a composite number? False Suppose -5*m + 15 = -0*m + 5*l, -m - 5*l + 7 = 0. Let i(s) = 17*s**2 + 4*s + 1. Is i(m) composite? True Suppose -4*q = 3*k - 25, -4*q = -3*k - 0*q + 17. Suppose 0*b = k*b - 1295. Is b prime? False Let o be (-3)/12 - (-37)/4. Let r = -5 + o. Suppose 0 = 2*w + 3*i - 178, -r*w - 4*i + 392 = -7*i. Is w prime? False Suppose -5*q + 2*q + 5*l - 8 = 0, q - l = 0. Is (-111)/(-6) - q/(-8) composite? False Let c = -257 + 470. Suppose 0 = 5*j - 722 - c. Is j a prime number? False Let q(x) = 2*x**2 - 6*x + 11. Suppose -4*f + 34 + 4 = 3*n, 34 = 4*f + n. Is q(f) prime? False Let i(v) = -v**3 - 5*v**2 - 13*v - 7. Let n be (-30)/3*(-1)/(-2). Let o be i(n). Is (2 + -1)/(1/o) prime? False Suppose 68579 = -284*k + 291*k. Is k a prime number? False Let z = -130 - -442. Suppose 0 = -5*h + 4*h + 3*g + 151, 0 = -2*h + g + z. Is h a prime number? True Let c(j) = 31441*j + 172. Is c(3) prime? False Suppose 2*m = -p + 12, -2 = -p - 0. Suppose -m*v + 2077 = -518. Is v composite? True Suppose -2*l = 10 - 6, 0 = 4*c - 2*l - 19760. Is c prime? False Suppose 0 = 3*h - 2736 - 3312. Suppose 3*b - h = -0*b. Suppose -3*j - 3*z = -j - 668, 2*j - b = -5*z. Is j a prime number? True Let f(k) = -2*k**3 + 6*k**2 + 2*k + 14. Let y be f(-7). Suppose 2*h - 3 = 13. Is (-3)/2 + y/h a prime number? False Let z(r) be the second derivative of 403*r**5/20 + r**4/3 - 5*r**3/6 + 5*r**2/2 + 4*r + 4. Is z(2) a composite number? True Suppose 0 = 4*m - 3*m - 3. Suppose 0 = 3*o + m*r - 5925, -4*o + 4*r - 974 + 8858 = 0. Is o prime? True Suppose -3 + 8 = m. Suppose -m*k + 5117 + 2158 = 0. Suppose -5*g + k = -2*v + 4*v, 4*v - 273 = -g. Is g a composite number? False Let x be (-3)/21 + 58/14. Suppose 6*q + 6 = 4*q, -x*z + q + 895 = 0. Is z a prime number? True Suppose 12 = 4*r, 4*f - 4*r = f - 735. Suppose -2*m = -7*m + 2260. Let u = m + f. Is u a composite number? False Suppose -17*d = 8869 - 34556. Is d a prime number? True Let i(y) = 164*y + 849. Is i(8) composite? False Suppose -178*h + 168*h + 16570 = 0. Is h prime? True Let z = -22 - -4. Is 16/72 - (-40)/z - -424 composite? True Suppose 21*t = 4*t + 11917. Is t a composite number? False Suppose 32 = -4*i + 2*k, -3 = 4*i + 3*k + 9. Let m(o) = -5*o + 8. Is m(i) a composite number? True Let t(h) = -h**3 + 4*h**2 + 5*h - 16. Let q be t(4). Suppose 4*i + 8*m - 12644 = q*m, 4*m + 9497 = 3*i. Is i a prime number? True Suppose -4*d - 3*a = -13, 0*a + 2 = 5*d - a. Suppose 5*c - d = -6. Is (-12)/c + (2 - 3) composite? False Let y(n) = 57*n + 4. Let w be y(-7). Suppose 3*x - 5*x = 500. Let c = x - w. Is c a prime number? False Let z(s) = 2*s**2 + s - 6. Let v be z(-3). Is v/(9/(-2)) + 193 composite? False Is (-6)/(24/(-140))*3006/90 composite? True Let y = 9 - -22. Let r = -28 + y. Is 795/2*2/r a composite number? True Let i = 108 + 128. Let a = i + -75. Is a composite? True Let j = 2378 - 1207. Is j composite? False Suppose 5*i = 82428 - 22618. Is i composite? True Let d(k) = k**2 - 4. Let c = -12 + 9. Let r be d(c). Suppose 0*h - 215 = -r*h. Is h prime? True Suppose -5*k = -h - h - 16257, 2*k - 6499 = -3*h. Is k composite? False Suppose -4*h + 3*q + 3731 = -0*q, 2*h - 2*q - 1866 = 0. Let j(b) = -b**3 - 16*b**2 - 7*b - 28. Let w be j(-16). Is h/14 + 36/w composite? False Is (-2)/(((-4)/(-5842))/(-1)) composite? True Suppose -3*u + 5562 = 3*q, 2*q = -3*q - 2*u + 9261. Is q prime? False Let s = -7 - -7. Let a(v) = -50*v**2 - 11 + v + 56 + 49*v**2 + 50. Is a(s) composite? True Let i = -4190 + 11047. Let g = -4404 + i. Is g prime? False Let k = 64 + -62. Suppose -k*w + 1174 = -2628. Is w a composite number? False Let o(y) = y**3 + 12*y**2 - 11*y - 13. Let x be o(-12). Suppose 5*z = 4*z + x. Is z composite? True Is 59 - (3*(-5 - -4) - -5) a composite number? True Suppose 2*c - z + 12 = 0, -12 - 12 = 2*c - 4*z. Let j be (-702)/c*(4 - 2). Suppose -j - 1384 = -5*g. Is g a prime number? True Suppose -53*b + 37*b = -301856. Is b a composite number? True Let g(z) = 4*z**2 + 4*z - 39. Let v = -10 - -26. Is g(v) composite? False Suppose 4*h + 9327 = 5*k - 17831, -4*k = 3*h - 21745. Suppose 7*t - 2*t - 4*c - 6797 = 0, -4*t = -5*c - k. Is t prime? True Let o(s) = -8 - 9*s - 20*s + 0*s - 8. Is o(-15) a prime number? True Let m = -11 + 47. Is 27/m - (-18841)/4 a prime number? False Suppose 3*u - 4264 = -4*q + 4*u, 4*u + 3185 = 3*q. Is q a prime number? False Let m be (-360)/(1/(0 + 1)). Suppose 1657 = -8*k - 3231. Let p = m - k. Is p a composite number? False Let c(d) = -d**2 + 12*d - 8. Suppose 4*y - 6*y + 18 = 0. Is c(y) a prime number? True Suppose -2*g - 161 = -4*m - 3*g, -m + 38 = g. Let u = m + -28. Let r(n) = 20*n - 7. Is r(u) a composite number? True Let q(w) be the second derivative of 2*w**4/3 - w**3/6 + 3*w**2 - 27*w. Let v(l) = -4*l**2 - 1. Let g be v(-1). Is q(g) prime? True Let i(g) = 8*g - 22. Let t be i(4). Suppose t*v + 655 = 15*v. Is v a composite number? False Suppose 13*l - 12*l = 3. Let h be (4/(-6))/((-10)/45). Suppose l*d = -h*n + 261 - 90, 0 = -4*n. Is d prime? False Suppose 0 = 2*y - 4*m - 20, -m = 3*y - 0 - 2. Suppose 6 = d + y. Suppose 0 = j - 4*j - 5*n + 1256, -d*j = 4*n - 1672. Is j prime? False Let b(x) = -x**3 - 7*x**2 + 11*x - 2. Let j = -38 + 25. Let t be b(j). Is (-4)/6 - t/(-3) prime? False Suppose h + h + 3604 = -4*u, -2*h = 3*u + 2705. Let b = -582 - u. Is b composite? False Let k(j) = j + 26. Let c be k(0). Suppose 0 = 3*n - 15, 3*b - c = -n - 9. Suppose -b*x + 4*o = o - 139, 68 = 2*x - 2*o. Is x composite? False Let z(m) = -225*m + 256. Is z(-35) a prime number? False Let k = 7 - 5. Suppose -2*y + 10 = 0, -3*o + k*o + 17 = -y. Suppose 0 = p - 255 + o. Is p a composite number? False Suppose 0 = 2*s - 2*p + 6*p + 10, 14 = 2*s - 2*p. Let f(b) = b**2 - b - 2. Let z be f(s). Suppose z*u - 31 - 5 = 0. Is u composite? True Suppose -28 - 23 = -3*j - 2*o, -5*j + o = -72. Suppose j*l + 5915 = 24800. Is l a prime number? True Suppose 2*o = 10058 + 1616. Is o a prime number? False Let g(x) = 99*x - 88. Is g(5) a composite number? True Let n(c) = 67*c**3 - 7*c**2 - 4*c + 29. Is n(5) a composite number? False Let k(q) = -q**3 - 9*q**2 - 2*q - 16. Let c be k(-9). Suppose 3*o + 5*w - 662 = 0, c*o + 3*w + 214 = 655. Is o prime? False Let w = -3626 + 15875. Is (w/27)/(1/3) prime? True Let d(y) = -27*y**3 - 8*y**2 - 35*y + 1. Is d(-6) a composite number? True Let t(q) = -q**2 - 8*q + 6. Let i be t(-7). Is (99 - i)/((-4)/(-14)) prime? False Suppose 5*s = 2*j + 29185, 10*s + 3*j = 5*s + 29185. Is s a prime number? False Let r = 18525 + -7471. Is r composite? True Let h(i) = -1477*i + 309. Is h(-5) a prime number? False Let h(b) = -3*b + b + b - 5*b - 10. Let j be h(-13). Is j/6 - 7/21 a prime number? True Let w = 91 + -61. Let v(j) = -3 + w*j - 1 + 1 + 21*j. Is v(6) a prime number? False Let j(n) be the fi
{ "pile_set_name": "DM Mathematics" }
prime factors of 10134051. 3, 83, 40699 List the prime factors of 83591. 83591 What are the prime factors of 316257? 3, 271, 389 List the prime factors of 22742847. 3, 2526983 List the prime factors of 2688592. 2, 168037 List the prime factors of 373993. 103, 3631 What are the prime factors of 517753? 23, 22511 What are the prime factors of 844257? 3, 281419 List the prime factors of 170752. 2, 23, 29 What are the prime factors of 6940606? 2, 421, 8243 List the prime factors of 976270. 2, 5, 233, 419 What are the prime factors of 281137? 41, 6857 What are the prime factors of 3406379? 313, 10883 What are the prime factors of 1559800? 2, 5, 11, 709 List the prime factors of 9888298. 2, 7, 23, 41, 107 List the prime factors of 3807367. 137, 27791 What are the prime factors of 3578865? 3, 5, 238591 What are the prime factors of 5485895? 5, 1097179 List the prime factors of 11780571. 3, 11, 41, 8707 List the prime factors of 2880111. 3, 13, 73849 What are the prime factors of 3327170? 2, 5, 7, 11, 29, 149 List the prime factors of 465087. 3, 7, 22147 What are the prime factors of 10351108? 2, 73, 35449 List the prime factors of 8876442. 2, 3, 1087, 1361 List the prime factors of 418266. 2, 3, 19, 1223 What are the prime factors of 3022348? 2, 7, 107941 List the prime factors of 158560. 2, 5, 991 List the prime factors of 5912986. 2, 2956493 What are the prime factors of 656770? 2, 5, 65677 List the prime factors of 5870914. 2, 7, 419351 List the prime factors of 655811. 13, 61, 827 What are the prime factors of 519483? 3, 43, 4027 List the prime factors of 260689. 11, 13, 1823 List the prime factors of 3861433. 3861433 List the prime factors of 14246007. 3, 251, 18919 List the prime factors of 306306. 2, 3, 7, 11, 13, 17 List the prime factors of 24731. 7, 3533 List the prime factors of 560744. 2, 29, 2417 What are the prime factors of 1766208? 2, 3, 9199 What are the prime factors of 312127? 29, 47, 229 What are the prime factors of 1471256? 2, 183907 What are the prime factors of 1304894? 2, 652447 What are the prime factors of 31789973? 31, 1025483 What are the prime factors of 577277? 19, 23, 1321 What are the prime factors of 983641? 23, 42767 List the prime factors of 2989160. 2, 5, 74729 What are the prime factors of 1232457? 3, 410819 What are the prime factors of 110538? 2, 3, 23, 89 List the prime factors of 6872575. 5, 47, 5849 List the prime factors of 1791003. 3, 41, 14561 What are the prime factors of 228720? 2, 3, 5, 953 What are the prime factors of 2080382? 2, 1040191 What are the prime factors of 25973868? 2, 3, 2164489 What are the prime factors of 1111194? 2, 3, 7, 8819 What are the prime factors of 4984139? 4984139 What are the prime factors of 17145717? 3, 5715239 What are the prime factors of 5965237? 31, 337, 571 List the prime factors of 2591344. 2, 7, 17, 1361 What are the prime factors of 945022? 2, 13, 19, 1913 List the prime factors of 5598686. 2, 43, 65101 What are the prime factors of 50041? 163, 307 What are the prime factors of 735079? 37, 19867 What are the prime factors of 36290997? 3, 179, 2503 What are the prime factors of 635962? 2, 379, 839 What are the prime factors of 5596069? 347, 16127 What are the prime factors of 200668? 2, 13, 17, 227 What are the prime factors of 1134463? 11, 151, 683 List the prime factors of 12540962. 2, 7, 73, 1753 List the prime factors of 28625. 5, 229 List the prime factors of 29255905. 5, 7, 61, 71, 193 What are the prime factors of 3783881? 179, 21139 What are the prime factors of 11474584? 2, 11, 83, 1571 What are the prime factors of 91301? 7, 13043 List the prime factors of 859639. 11, 17, 4597 List the prime factors of 148873. 148873 List the prime factors of 3266825. 5, 149, 877 List the prime factors of 855761. 23, 29, 1283 List the prime factors of 2816129. 59, 809 List the prime factors of 15484400. 2, 5, 38711 List the prime factors of 470551. 470551 What are the prime factors of 152021? 281, 541 List the prime factors of 7125087. 3, 457, 5197 What are the prime factors of 1817865? 3, 5, 7, 29, 199 What are the prime factors of 5463503? 5463503 List the prime factors of 2414466. 2, 3, 31, 4327 What are the prime factors of 38015510? 2, 5, 13, 292427 What are the prime factors of 521645? 5, 17, 19 What are the prime factors of 1170384? 2, 3, 37, 659 What are the prime factors of 1860550? 2, 5, 127, 293 List the prime factors of 62463. 3, 47, 443 What are the prime factors of 8858815? 5, 7, 253109 List the prime factors of 545094. 2, 3, 11, 2753 List the prime factors of 11567211. 3, 439, 8783 What are the prime factors of 665387? 665387 List the prime factors of 1455221. 53, 27457 What are the prime factors of 198215? 5, 29, 1367 What are the prime factors of 1980191? 1980191 List the prime factors of 16613779. 7, 13, 79, 2311 What are the prime factors of 243712? 2, 7, 17 List the prime factors of 243233. 243233 What are the prime factors of 21810982? 2, 37, 241, 1223 What are the prime factors of 1186174? 2, 11, 53917 What are the prime factors of 249160? 2, 5, 6229 What are the prime factors of 792258? 2, 3, 23, 5741 What are the prime factors of 2927305? 5, 585461 What are the prime factors of 7984140? 2, 3, 5, 133069 What are the prime factors of 22434? 2, 3, 3739 List the prime factors of 396058. 2, 13, 15233 List the prime factors of 614961. 3, 68329 List the prime factors of 2243803. 2243803 List the prime factors of 229841. 229841 What are the prime factors of 123907? 7, 31, 571 List the prime factors of 238767. 3, 79589 What are the prime factors of 66775? 5, 2671 What are the prime factors of 5518616? 2, 689827 What are the prime factors of 6299425? 5, 11, 22907 List the prime factors of 746942. 2, 7, 53353 List the prime factors of 2368248. 2, 3, 101, 977 List the prime factors of 95658. 2, 3, 107, 149 List the prime factors of 324986. 2, 162493 List the prime factors of 381725. 5, 15269 List the prime factors of 2901673. 397, 7309 List the prime factors of 22250. 2, 5, 89 What are the prime factors of 671789? 17, 43, 919 What are the prime factors of 5299296? 2, 3, 55201 List the prime factors of 25756. 2, 47, 137 What are the prime factors of 993717? 3, 41, 2693 What are the prime factors of 10314345? 3, 5, 687623 List the prime factors of 1224093. 3, 13, 31387 What are the prime factors of 56355? 3, 5, 13, 17 What are the prime factors of 3419148? 2, 3, 499, 571 List the prime factors of 4971. 3, 1657 What are the prime factors of 38? 2, 19 What are the prime factors of 268741? 11, 2221 List the prime factors of 1415801. 31, 109, 419 List the prime factors of 912806. 2, 456403 List the prime factors of 3221123. 3221123 What are the prime factors of 9037358? 2, 11, 410789 List the prime factors of 5309436. 2, 3, 11, 19, 29, 73 List the prime factors of 4099777. 11, 372707 What are the prime factors of 14246336? 2, 13, 17123 List the prime factors of 881742. 2, 3, 223, 659 What are the prime factors of 28056703? 421, 66643 What are the prime factors of 9094509? 3, 1010501 What are the prime factors of 1855425? 3, 5, 11, 13, 173 List the prime factors of 487287. 3, 29, 1867 List the prime factors of 440543. 440543 What are the prime factors of 18980763? 3, 89, 71089 What are the prime factors of 9109410? 2, 3, 5, 303647 What are the prime factors of 1449947? 17, 19, 67 List the prime factors of 67677. 3, 17, 1327 What are the prime factors of 202048? 2, 7, 11, 41 List the prime factors of 593777. 593777 List the prime factors of 177572. 2, 103, 431 What are the prime factors of 5862798? 2, 3, 37, 8803 What are the prime factors of 235756? 2, 17, 3467 List the prime factors of 2391760. 2, 5, 7, 4271 What are the prime factors of 14733? 3, 1637 What are the prime factors of 387108? 2, 3, 10753 List the prime factors of 3703978. 2, 1259, 1471 List the prime factors of 15364114. 2, 7682057 What are the prime factors of 98667? 3, 19, 577 List the prime factors of 9930106. 2, 31, 160163 What are the prime factors of 225824? 2, 7057 List the prime factors of 560306. 2, 41, 6833 List the prime factors of 12044282. 2, 109, 55249 List the prime factors of 2037426. 2, 3, 43, 53, 149 What are the prime factors of 171671? 171671 What are the prime factors of 18303
{ "pile_set_name": "DM Mathematics" }
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h). -4*h**2 Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x). -x - 2 Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)? -j**2 + 1 Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s). -s**3 + 98*s - 2 Let z(g) = -22*g**3 + 2*g**2 - 6*g - 4. Let t(p) = p**3 + p + 1. Calculate -5*t(y) - z(y). 17*y**3 - 2*y**2 + y - 1 Let k(f) = 0*f**2 + 5*f**2 + 6 - f**2. Let s(t) = 7*t**2 + 11. Suppose 290 = -3*g + h + 113, -4*h = -5*g - 302. Let r be 9/(-75)*-5 + g/5. Give r*k(v) + 6*s(v). -2*v**2 Let t(w) = -11*w**2 + 7. Let u(n) = 11*n**2 - 18*n - 4. Let p(h) = -12*h**2 + 21*h + 4. Let l(b) = -6*p(b) - 7*u(b). Give 7*l(m) - 4*t(m). 9*m**2 Let z(m) = 2*m**2 + 1. Let l(h) = h**2. Let u(i) = -i**3 + 39*i**2 - 39*i + 37. Let j be u(38). Give j*z(w) - 2*l(w). -4*w**2 - 1 Let k(g) be the first derivative of 0*g**3 + 21 + 55/4*g**4 + 25*g + 0*g**2. Let q(o) = 9*o**3 + 4. Give 4*k(b) - 25*q(b). -5*b**3 Let a(x) = -15*x - 267. Let b(r) = 3*r + 53. Give 5*a(j) + 24*b(j). -3*j - 63 Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v). 2*v**3 Let c(j) = -6*j**2 + 7*j**3 + 260 - 266 + 3*j**3. Let u(r) = -3*r**3 + 2*r**2 + 2. Let h = 8 - 6. What is h*c(p) + 7*u(p)? -p**3 + 2*p**2 + 2 Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c). 2*c**2 + c - 29 Let p(h) = -5 + 4*h + h**2 - 3*h + 4. Let v(d) = 2*d**3 - 6*d**2 - 4*d + 6. Give -6*p(b) - v(b). -2*b**3 - 2*b Let r(j) = j**2 + 6*j + 3. Let b(l) = -6*l**2 - 31*l - 16. Let z be (-1)/2 + -3*56/(-48). Suppose -z*u + 50 = 17. Determine u*r(q) + 2*b(q). -q**2 + 4*q + 1 Let x(y) = 7*y**2 + 3*y - 4. Let v(m) = 4*m**2 + 2*m - 2. Let j = 26 + -21. Suppose 3*z - 15 = 0, -5*z = -j*g - 0 - 10. Calculate g*x(p) - 5*v(p). p**2 - p - 2 Let f(l) = -1104998*l. Let v(g) = 1897*g. Give -5*f(p) - 2913*v(p). -971*p Let q be 10/4 + (-3)/6. Let b(a) = 69*a**2 + 4*a - 72*a**q - 4 + 4. Let o(x) = -2*x - 1. Let g be o(-3). Let t(l) = -l**2 + 2*l. Determine g*t(u) - 2*b(u). u**2 + 2*u Let v(p) = -5*p**2 + 4*p + 3. Let t(i) = 5*i**2 - 5*i - 3. Determine 2*t(c) + 3*v(c). -5*c**2 + 2*c + 3 Let o be (-32 - -30)*4/8. Let j(a) = a**2 - a + 1. Let v(w) = -4*w**2 + 2*w - 3. Calculate o*v(n) - 5*j(n). -n**2 + 3*n - 2 Let y(i) = -84*i**2 - 2*i - 1. Let g(p) = -p**2. What is g(q) + y(q)? -85*q**2 - 2*q - 1 Let u(g) = -g - 1. Let i(s) = 16*s + 10. Give i(d) + 6*u(d). 10*d + 4 Let g(m) = -m**3 + 2*m**2 + 4. Let q(r) = -r**3 + 3*r**2 + 3. Determine 6*g(x) - 5*q(x). -x**3 - 3*x**2 + 9 Let j(x) = 6*x**2 - 7. Let y = 98 - 96. Let f(s) = 4*s**y - 8 + 4*s**2 + 2*s**2 - 3*s**2. Give -4*f(l) + 5*j(l). 2*l**2 - 3 Let d be 1*(-3)/6 - 162/(-36). Let r(w) = -4*w**3 + 19*w**2 - 7*w + 7. Let t(i) = -i**3 + 6*i**2 - 2*i + 2. Calculate d*r(z) - 14*t(z). -2*z**3 - 8*z**2 Let c(g) = -6*g + 12. Let u(a) = 5*a - 14. What is 6*c(h) + 5*u(h)? -11*h + 2 Let n(x) = -89*x**2 - 6. Let v(l) = 30*l**2 + 2. Give -3*n(i) - 8*v(i). 27*i**2 + 2 Let k(c) = 5*c**2 - 41*c + 6. Let x be k(8). Let u(t) = t**2 + t - 2. Let n(i) = -i + 3. Determine x*n(a) - 3*u(a). -3*a**2 - a Let d(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m + 1. Let q(b) = -6*b + 14. What is 11*d(y) - 4*q(y)? 2*y - 1 Let n(o) = -8*o. Let z(a) = -2*a**3 + 23*a**2 - 12*a + 17. Let f be z(11). Let y(d) = -3*d. What is f*n(k) - 17*y(k)? 3*k Let g(r) = -r**3 - 5*r**2 - 18*r - 7. Let h(y) = y**3 + 4*y**2 + 12*y + 5. What is 5*g(t) + 7*h(t)? 2*t**3 + 3*t**2 - 6*t Let a(j) = -215*j - 9. Let o(w) = 209*w + 11. Give -7*a(c) - 6*o(c). 251*c - 3 Let u(v) = -v**2 + 2. Let n = -34 + 39. Suppose 2*c - 26 = 4*b + 2, -10 = n*b. Let k(q) = -3*q**2 + 5. Determine c*u(w) - 4*k(w). 2*w**2 Let s(a) = -2*a - 2. Let n(p) = -24*p - 18. Give 4*n(y) - 40*s(y). -16*y + 8 Let w(g) = -2*g**2 - g - 2. Let p(v) = -6*v**2 - 3*v - 7. Suppose -44*h = -15*h - 58. Calculate h*p(i) - 7*w(i). 2*i**2 + i Let p(l) = l + 5. Let s(m) = 3*m**2 + m + 23. Determine 3*p(u) - s(u). -3*u**2 + 2*u - 8 Let v(x) = 443*x - 906*x - 5 + 3 + 462*x - 6*x**3. Let u(a) = -11*a**3 + a + 3*a - 6*a - 3. Determine -4*u(h) + 7*v(h). 2*h**3 + h - 2 Let n(l) = -792*l + 440. Let h(i) = -88*i + 48. Determine -55*h(c) + 6*n(c). 88*c Let g(y) be the first derivative of -y**4/4 + y**3/3 - y**2/2 + y + 1. Let s(w) = -6*w**3 + 4*w**2 - 4*w + 4. What is -12*g(q) + 3*s(q)? -6*q**3 Let u(q) = 327*q**2 - 5*q + 10. Let l(m) = 490*m**2 - 7*m + 14. What is 5*l(z) - 7*u(z)? 161*z**2 Let c(m) be the third derivative of -m**4/12 + m**3/2 + 72*m**2. Let t(x) = 2*x - 4. Determine -4*c(l) - 3*t(l). 2*l Let u(a) = 12*a - 6*a - 1 + 0 - 5*a. Let s(d) = 6*d - 3. Determine -s(y) + 5*u(y). -y - 2 Let x be (-1 - 1)/(4/(-22)). Let q(r) be the first derivative of r**4/2 + 7*r**3/3 - 3*r + 3128. Let v(b) = 4*b**3 + 13*b**2 - 5. Give x*q(s) - 6*v(s). -2*s**3 - s**2 - 3 Let o(l) = 23*l**2 + 40*l + 7. Let w(y) = -15*y**2 - 27*y - 5. Calculate 5*o(k) + 7*w(k). 10*k**2 + 11*k Let h(x) = -2*x**3 - 4*x**2 + x. Let y(d) = d**3 + d**2. Suppose 2 = 21*m - 19*m. What is m*h(f) + 3*y(f)? f**3 - f**2 + f Let x(r) = 5*r**2. Let j(z) = -3*z + z**2 + 5*z - 2*z. Let m(t) = 12*t**2 - t. Suppose 6 - 9 = -3*u. Let n be m(u). Give n*j(w) - 2*x(w). w**2 Let j(d) = -d. Let v(m) = 35*m - 9. Give -6*j(f) + v(f). 41*f - 9 Let r = 205 - 206. Let l(o) = -o**3. Let g(s) = s**3 + s**2 + 4*s. Determine r*g(a) + l(a). -2*a**3 - a**2 - 4*a Let n(p) = -p + 1. Let v be -1 - (3 + -3)*(2 + -3). Let x(m) = -3*m + 6. What is v*x(t) + 2*n(t)? t - 4 Let t(h) = 19*h**2 + 8*h + 21. Let p(z) = -13*z**2 - 5*z - 14. Calculate -8*p(g) - 5*t(g). 9*g**2 + 7 Let k be -2 - 32/(-12)*30/4. Let z(v) = v**3 - v**2. Let i(u) = -4*u**3 + 4*u**2. Let o be (-184)/(-6) - 8/12. Suppose 10 = -5*x + o. Give k*z(a) + x*i(a). 2*a**3 - 2*a**2 Let y(h) = -31*h - 11. Let q(g) = 152*g + 54. Determine -3*q(b) - 14*y(b). -22*b - 8 Let n(o) = o**3 - 5. Suppose 0*w - 4*w + 16 = 0. Suppose -w*j + 4 = 2*z - 3*z, 0 = -3*j - 5*z - 20. Let f(q) = 74 + q**3 + j*q**3 - 80. What is 5*f(s) - 6*n(s)? -s**3 Let l = 20 - 7. Let x(w) = -7*w**2 - 6*w + 9. Let n(q) = -15*q**2 - 13*q + 19. Let g(c) = l*x(c) - 6*n(c). Let b(j) = -2*j**2 + 8. Give 3*b(f) - 8*g(f). 2*f**2 Let b(z) = 11*z**3 - 4*z**2 - 5*z - 7. Let d = 531 - 526. Let l(f) = 17*f**3 - 6*f**2 - 8*f - 11. Give d*l(n) - 8*b(n). -3*n**3 + 2*n**2 + 1 Let g(j) = -j**3 - 16*j**2 + 19*j + 40. Let y be g(-17). Let o(f) = -13*f + 6. Let t(b) = -26*b + 13. Determine y*t(v) - 13*o(v). 13*v Let d(w) = 2*w**2 + w - 2. Let f(b) = 6*b**2 + 3*b - 5. Suppose k + 3*m = 0, -k + 6*k + 2*m = 13. Calculate k*f(s) - 8*d(s). 2*s**2 + s + 1 Suppose g = 3*g + 110. Let c = g + 97. Let h = -59 + c. Let y(d) = -8*d**2 - 3*d + 17. Let o(s) = -3*s**2 - s + 6. Determine h*o(k) + 6*y(k). 3*k**2 - k Let q(k) = -3*k**2 + 4*k - 1. Let j(y) = -5*y**2 + 7*y - 2. Let f(o) = -4*j(o) + 7*q(o). Let n(w) = 3*w**2 - 2*w - 4. Give 2*f(r) + n(r). r**2 - 2*r - 2 Let j(v) = -7*v**2 + 12*v + 14. Let d(t) = t**2 - 3. What is 5*d(q) + j(q)? -2*q**2 + 12*q - 1 Let a(f) = 15*f**3 + 5*f**2 - 7*f - 2. Let p(u) = 23*u**3 + 8*u**2 - 11*u - 3. Let y be (0 - 10)/(-10 - (-13 - -5)). Determine y*p(v) - 8*a(v). -5*v**3 + v + 1 Suppose 8*d + 14 + 10 = 0. Let a(m) = -240*m - 155. Let z(t) = 34*t + 22. Let s(y) = d*a(y) - 20*z(y). Let p(b) = -5*b - 3. Give -25*p(u) - 3*s(u). 5*u Let z(t) = -13*t**2 + 8*t + 125. Let o(c) = 28*c**2 - 17*c - 250. What is -6*o(p) - 13*z(p)? p**2 - 2*p - 125 Let p(h) = 26*h**3 - 16*h**2 + 11*h - 1. Let b(l) = 5*l**3 - 3*l**2 + 2*l. Suppose 165*y - 44 = 169*y. Give y*b(j) + 2*p(j). -3*j**3 + j**2 - 2 Let s(o) = 67*o + 15. Let k(f) = 202*f + 41. Give -4*k(n) + 11*s(n). -71*n + 1 Let h(n) = 5*n - 3. Let t(d) be the second derivative of 2*d**3/3 - d**2 - 2*d - 57. Determine 3*h(g) - 4*t(g). -g - 1 Let i(m) = -2*m**3 - m**2 + m + 1. Let d = 1 - -4. Let k(l) = 748 - 749 - l**3 - 4*l**2 + d*l**2. Give -i(c) - k(c). 3*c**3 - c Let z(w) = -4*w**2 - 2*w + 3. Let j(h) = 1. Give -6*j(g) + 2*z(g). -8*g**2 - 4*g Let u(a) = -1. Suppose f + 5*c = -15, -9*f + 5*
{ "pile_set_name": "DM Mathematics" }
'th term of -13684, -27371, -41060, -54745, -68420? c**3 - 7*c**2 - 13673*c - 5 What is the t'th term of -3719, -7724, -12017, -16598, -21467, -26624? -144*t**2 - 3573*t - 2 What is the q'th term of -23552488, -47104976, -70657466, -94209958, -117762452? -q**2 - 23552485*q - 2 What is the k'th term of -154841512, -154841509, -154841506, -154841503? 3*k - 154841515 What is the p'th term of 677596, 1355251, 2032906, 2710561? 677655*p - 59 What is the j'th term of 66858, 133482, 199874, 266034, 331962? -116*j**2 + 66972*j + 2 What is the b'th term of -3399248, -13596988, -30593222, -54387950, -84981172? -3399247*b**2 + b - 2 What is the j'th term of 676519, 1353092, 2029665, 2706238, 3382811, 4059384? 676573*j - 54 What is the d'th term of 215900, 213138, 205638, 191030, 166944? -395*d**3 + d**2 + 216294 What is the n'th term of -107272, -107229, -107172, -107095, -106992, -106857, -106684, -106467? n**3 + n**2 + 33*n - 107307 What is the y'th term of -187521, -375102, -562683? -187581*y + 60 What is the h'th term of 61140902, 61140898, 61140896, 61140896, 61140898, 61140902, 61140908? h**2 - 7*h + 61140908 What is the y'th term of -4110, -32509, -109542, -259527, -506782, -875625? -4053*y**3 + y**2 - 31*y - 27 What is the a'th term of -702914, -702917, -702924, -702935, -702950, -702969, -702992? -2*a**2 + 3*a - 702915 What is the t'th term of -33634, -67318, -101052, -134836, -168670, -202554? -25*t**2 - 33609*t What is the p'th term of -1194, -2893, -5068, -7719? -238*p**2 - 985*p + 29 What is the b'th term of -219487, -219432, -219333, -219184, -218979, -218712? b**3 + 16*b**2 - 219504 What is the n'th term of -150, -461, -982, -1767, -2870, -4345, -6246, -8627? -9*n**3 - 51*n**2 - 95*n + 5 What is the h'th term of 27605, 110212, 247825, 440450, 688093, 990760? h**3 + 27497*h**2 + 109*h - 2 What is the n'th term of -79890, -79748, -79572, -79344, -79046, -78660, -78168, -77552? 3*n**3 - n**2 + 124*n - 80016 What is the l'th term of -2988654, -5977308, -8965962, -11954616, -14943270? -2988654*l What is the u'th term of 157461, 157639, 157817? 178*u + 157283 What is the q'th term of 51381398, 102762799, 154144200, 205525601, 256907002, 308288403? 51381401*q - 3 What is the c'th term of 357304, 1428987, 3215052, 5715499, 8930328, 12859539? 357191*c**2 + 110*c + 3 What is the w'th term of 2388126, 4776252, 7164378? 2388126*w What is the u'th term of -5389927, -10779860, -16169793, -21559726? -5389933*u + 6 What is the a'th term of -24756026, -24756024, -24756022, -24756020, -24756018? 2*a - 24756028 What is the y'th term of 5497747, 10995494, 16493241, 21990988, 27488735? 5497747*y What is the r'th term of 280, 1006, 2148, 3688, 5608? -3*r**3 + 226*r**2 + 69*r - 12 What is the m'th term of -2594, -6553, -11876, -18563, -26614, -36029, -46808? -682*m**2 - 1913*m + 1 What is the j'th term of 39649, 79265, 118881, 158497, 198113? 39616*j + 33 What is the v'th term of 2906503, 2906481, 2906459, 2906449, 2906463, 2906513, 2906611, 2906769? 2*v**3 - 12*v**2 + 2906513 What is the v'th term of 4964, 19187, 42896, 76091, 118772, 170939, 232592? 4743*v**2 - 6*v + 227 What is the n'th term of 1086, 4411, 10102, 18285, 29086, 42631? 21*n**3 + 1057*n**2 + 7*n + 1 What is the l'th term of 1694, 1927, 2174, 2441, 2734, 3059, 3422, 3829? l**3 + l**2 + 223*l + 1469 What is the o'th term of 32148, 129124, 290750, 517026, 807952, 1163528? 32325*o**2 + o - 178 What is the i'th term of 886107, 1772202, 2658299, 3544398, 4430499, 5316602, 6202707? i**2 + 886092*i + 14 What is the f'th term of -41471380, -82942789, -124414198, -165885607, -207357016, -248828425? -41471409*f + 29 What is the o'th term of 131287, 130913, 130539, 130165? -374*o + 131661 What is the t'th term of -13480, -13556, -13744, -14092, -14648, -15460, -16576, -18044? -8*t**3 - 8*t**2 + 4*t - 13468 What is the m'th term of 346020, 345893, 345766? -127*m + 346147 What is the z'th term of 255, 3419, 12397, 30099, 59435, 103315, 164649, 246347? 485*z**3 - 3*z**2 - 222*z - 5 What is the u'th term of -5904, -6923, -9692, -15087, -23984? -146*u**3 + u**2 - 5759 What is the u'th term of -476, 479, 2066, 4285, 7136, 10619, 14734? 316*u**2 + 7*u - 799 What is the n'th term of -75067, -601089, -2028853, -4809229, -9393087, -16231297, -25774729? -75145*n**3 - n**2 - 4*n + 83 What is the q'th term of 69, 212, 415, 636, 833, 964, 987? -7*q**3 + 72*q**2 - 24*q + 28 What is the j'th term of -5658, -27557, -64050, -115137, -180818, -261093, -355962? -7297*j**2 - 8*j + 1647 What is the l'th term of 35007, 139560, 313663, 557316, 870519, 1253272, 1705575? 34775*l**2 + 228*l + 4 What is the i'th term of -3072, -13926, -31958, -57168, -89556, -129122, -175866? -3589*i**2 - 87*i + 604 What is the t'th term of 9659, 9825, 9995, 10169, 10347? 2*t**2 + 160*t + 9497 What is the f'th term of -232, -663, -1356, -2305, -3504, -4947, -6628? f**3 - 137*f**2 - 27*f - 69 What is the p'th term of 262728, 525455, 788176, 1050891, 1313600, 1576303? -3*p**2 + 262736*p - 5 What is the k'th term of 49603, 49510, 49415, 49318, 49219, 49118, 49015? -k**2 - 90*k + 49694 What is the v'th term of 172, 189, 160, 79, -60, -263, -536? -v**3 - 17*v**2 + 75*v + 115 What is the c'th term of 47639857, 47639861, 47639865? 4*c + 47639853 What is the s'th term of 23096236, 46192470, 69288704? 23096234*s + 2 What is the v'th term of -3755, -6485, -11019, -17357? -902*v**2 - 24*v - 2829 What is the a'th term of -301683, -603377, -905077, -1206783, -1508495, -1810213, -2111937? -3*a**2 - 301685*a + 5 What is the f'th term of -970, -1937, -4678, -10117, -19178? -154*f**3 + 37*f**2 - 853 What is the m'th term of -405167, -810345, -1215523? -405178*m + 11 What is the d'th term of -5015504, -20062056, -45139644, -80248268, -125387928, -180558624? -5015518*d**2 + 2*d + 12 What is the m'th term of -552846, -1105681, -1658502, -2211309, -2764102, -3316881? 7*m**2 - 552856*m + 3 What is the x'th term of 1218, 2199, 2916, 3363, 3534, 3423, 3024? -x**3 - 126*x**2 + 1366*x - 21 What is the j'th term of 3538950, 7078142, 10617322, 14156484, 17695622? -j**3 + 3539199*j - 248 What is the m'th term of 98, -55, -512, -1405, -2866, -5027, -8020, -11977? -22*m**3 - 20*m**2 + 61*m + 79 What is the x'th term of 15805, 31655, 47471, 63235, 78929, 94535, 110035? -3*x**3 + x**2 + 15868*x - 61 What is the b'th term of 180713, 361370, 542027, 722684, 903341, 1083998? 180657*b + 56 What is the u'th term of -424221405, -424221404, -424221403, -424221402? u - 424221406 What is the k'th term of -6506, -52071, -175788, -416747, -814038, -1406751, -2233976, -3334803? -6515*k**3 + 14*k**2 - 2*k - 3 What is the m'th term of -1482162, -2964319, -4446476, -5928633? -1482157*m - 5 What is the b'th term of -16, 22, 92, 176, 256, 314, 332? -3*b**3 + 34*b**2 - 43*b - 4 What is the t'th term of 2334317, 2334642, 2334957, 2335256, 2335533, 2335782, 2335997? -t**3 + t**2 + 329*t + 2333988 What is the v'th term of 1454, 5717, 12822, 22763, 35534, 51129, 69542? -v**3 + 1427*v**2 - 11*v + 39 What is the r'th term of 96284, 192557, 288844, 385145, 481460? 7*r**2 + 96252*r + 25 What is the v'th term of 6134341, 12268660, 18402967, 24537256, 30671521? -v**3 + 6134326*v + 16 What is the o'th term of -31837, -31755, -31627, -31447, -31209, -30907, -30535, -30087? o**3 + 17*o**2 + 24*o - 31879 What is the m'th term of -6746, -2775, 3838, 13087, 24966, 39469? -m**3 + 1327*m**2 - 3*m - 8069 What is the x'th term of 2261243, 4522509, 6783775, 9045041, 11306307, 13567573? 2261266*x - 23 What is the u'th term of -1279039, -1279028, -1279017, -1279006, -1278995, -1278984? 11*u - 1279050 What is the n'th term of 93, 1809, 6731, 16461, 32601, 56753? 267*n**3 + n**2 - 156*n - 19 What is the a'th term of 21587930, 21587909, 21587874, 21587825? -7*a**2 + 21587937 What is the c'th term of -30145096, -30145071, -30145046, -30145021, -30144996? 25*c - 30145121 What is the x'th term of -28533, -57337, -86409, -115749, -145357, -175233, -205377? -134*x**2 - 28402*x + 3 What is the s'th term of -24893, -46510, -68113, -89696, -111253, -132778? s**3 + s**2 - 21627*s - 3268 What is the c'th term of -32557, -65155, -97819, -130579, -163465? -5*c**3 - 3*c**2 - 32554*c + 5 What is the b'th term of 3931528, 7862998, 11794
{ "pile_set_name": "DM Mathematics" }
7) a multiple of 25? True Suppose -2*s - 5*i - 5 = 0, 6*s - i - 28 = s. Suppose -3*n - s*y + 167 = -n, 0 = 3*n - y - 225. Is n a multiple of 19? True Is 16 + -18 + -1 + -1 + 2620 a multiple of 18? False Let q(z) = z**2 + 1. Let d be q(-2). Suppose 5*f + l - 1050 = d*l, 0 = -5*f + l + 1035. Is f a multiple of 10? False Let j(k) = -65*k - 13. Let f be j(-10). Suppose -3*o = -f + 7. Is 35 a factor of o? True Let y = 2145 + -1405. Is 5 a factor of y? True Is -10*(-12)/60*54 a multiple of 18? True Let a(w) = -w**2 - 7*w - 2. Let p be a(-3). Suppose -p*c + 5*c = 395. Let l = c - -119. Is l a multiple of 13? False Let f = -1893 + 3378. Is 33 a factor of f? True Does 21 divide (2 + 1)*(-213)/(-9)? False Let u(r) = -r**3 + 8*r**2 + 3*r + 3. Suppose -4*c + m = -37, m + 19 = -0*c + 2*c. Let s be u(c). Let w = 73 + s. Is w a multiple of 9? False Let h(m) = m**2 + m + 70. Does 16 divide h(39)? False Does 8 divide -1 - -6*27*3/6? True Suppose -3*m - 759 = -4539. Is m a multiple of 7? True Let l be (3 + 3577)/(2/(-4)). Does 12 divide (-8)/(-10) - l/50? True Let p = 6 + -1. Suppose 3*b - 2 = p*x, -2*x - 4*b = -5*b. Suppose -x*j - 17 = -3*j. Is j a multiple of 4? False Suppose 47 = 5*x - 2*q, -7 = -3*q + 5. Let u(a) = x - 4*a + 7 + 2 - 2. Is u(-6) a multiple of 14? True Let l(i) be the third derivative of -i**6/30 - i**5/15 + i**4/8 + 5*i**3/6 + 8*i**2. Suppose f - 1 = -4*d, -3*f - 1 = -4*d + 12. Does 14 divide l(f)? False Is 18 a factor of 52/39 + (-1451)/(-3)? False Let i(z) = -z - 1. Let t(b) = 13*b**2 + 2*b + 1. Let p(v) = 4*i(v) + t(v). Does 19 divide p(-2)? False Let r be 2/(-2 - 147/(-73)). Let s = 64 + -166. Let c = s + r. Does 11 divide c? True Let w = 25 + -21. Suppose 5*q - a - 11 = 49, 34 = w*q + 2*a. Does 6 divide q? False Let j(x) = -3*x**3 + 29*x**2 + 11*x + 10. Let a(w) = w**3 - 10*w**2 - 4*w - 3. Let l(t) = 11*a(t) + 4*j(t). Let s = 11 + -6. Is l(s) a multiple of 16? True Let p = 49 - 7. Let b = 22 + -32. Let t = p - b. Does 26 divide t? True Suppose 4*o + 1152 + 1032 = 2*b, -1107 = -b - o. Does 19 divide b? True Let j = 491 - 451. Is j a multiple of 29? False Let m(u) = u**3 - 6*u**2 - 8*u + 5. Let v be m(7). Let a be (-40)/(-1 - v)*-1. Suppose x - a = -x. Is x a multiple of 10? True Let f = 1 + -2. Let z(p) = -117*p - 3. Is z(f) a multiple of 15? False Let m = 14 - 10. Suppose -m*j + 4*l + 68 = 2*l, -2*j = -4*l - 46. Suppose 0 = -3*d + j - 0. Does 5 divide d? True Let i(v) = -399*v - 2. Does 33 divide i(-1)? False Is 8 a factor of 0 - (3 - -1)*80/(-5)? True Let o = 150 - -327. Is 5 a factor of o? False Suppose 5*r - y = 4*y + 5, -r - 7 = y. Let p be 4 - (-5 - (r + 0)). Is 11 a factor of (99/(-6))/(p/(-12))? True Let a = 13 - 8. Suppose -1 + 25 = 3*t + 3*b, -a*t = 2*b - 25. Suppose 3*h - u - 128 = 0, 0 = -3*h + t*u + 69 + 51. Is h a multiple of 11? True Let k be 2/11 - 92/22. Is 14 a factor of (k/10 - (-1968)/20)*2? True Let w be ((-4)/(-5))/((-4)/(-30)). Let p = 256 + -187. Suppose 9*i - w*i = p. Is i a multiple of 12? False Let g = 2592 - 2127. Does 31 divide g? True Suppose 4*o - 16 = 0, 5*u - 4*o = 818 + 886. Does 8 divide u? True Suppose -68 = -7*g - 19. Suppose 0 = g*k - 481 - 317. Is k a multiple of 19? True Suppose -5*d = 74 + 66. Let q = -28 - d. Does 30 divide ((-264)/(-3) - q) + 2? True Let k be (4/(24/(-9)))/((-6)/8). Does 31 divide (4/(4/k))/(10/465)? True Let y = -55 + 51. Does 6 divide 913/8 + (231/(-56) - y)? True Suppose -10*b = -17*b + 490. Is b a multiple of 7? True Let k be ((-154)/(-55))/((-2)/10). Let j be 8/(-28) - 1894/k. Let a = j - 96. Is a a multiple of 13? True Let v = -163 + 342. Suppose l - 2*i + v = 0, -185 = l + 3*i + i. Let o = l - -255. Does 18 divide o? False Does 3 divide ((-105)/40)/((-2)/16)? True Let q(f) = 6*f**2 + 4*f - 58. Is 6 a factor of q(-6)? False Let z(g) = 29*g + 6. Let m be z(6). Suppose -3*s - 2*s = -m. Is 15 a factor of s? False Suppose -73159 - 7553 = -19*x. Is x a multiple of 118? True Let q(d) = -d**2 + 3*d + 1. Let r be q(0). Is 4 a factor of ((-45)/(-6) - r)*32/4? True Let i(k) be the second derivative of k**4/12 + k**3/2 - k**2 - 5*k. Let n be i(-4). Suppose 4*y = 3*g - 61, n*g + y - 27 - 10 = 0. Does 10 divide g? False Let u = 244 - 139. Is u a multiple of 35? True Let j(i) = -i**2 - 12*i + 57. Does 16 divide j(-8)? False Does 17 divide 6/2*(154 - -16)? True Let u(x) = 6*x**2 + 3*x + 1000. Is 50 a factor of u(0)? True Let r be 6*(75/6)/5. Suppose -10*i = -7*i + w - 780, -i - 3*w = -260. Is 7 a factor of i/6 - 20/r? True Let j(z) = -z**2 + 10*z + 0*z**2 + 1 + 4. Suppose 2*d = 4*q - 2*q + 24, q + 36 = 4*d. Is 6 a factor of j(d)? False Let o = 680 - 474. Is 35 a factor of o? False Let b(t) = 6*t**2 + 8*t + 4. Let d be ((-9)/(-18))/(2/(-8)). Does 2 divide b(d)? True Let n(m) be the third derivative of m**5/30 - 13*m**4/24 + 25*m**3/6 - 11*m**2. Is n(10) a multiple of 19? True Let h = 56 + -63. Let k(z) = -8*z - 3. Is 7 a factor of k(h)? False Does 6 divide (-9)/54 - 22/12 - -458? True Let d(w) = -15*w - 13. Let q(o) = 22*o + 20. Let a(x) = 8*d(x) + 5*q(x). Let t(k) = -3*k**2 - 36*k - 4. Let h be t(-12). Does 12 divide a(h)? True Let z be (1/(-3))/((-2)/30). Let u = 10 + -7. Suppose 2*q + u*q + z*s = 45, q = 4*s - 1. Is 3 a factor of q? False Suppose 0*x + 12 = 6*x. Suppose x*k + 271 = 4*k - 3*j, 0 = -2*k - 3*j + 289. Is k a multiple of 35? True Let v(l) = 5*l**3. Let g be v(-1). Let u(a) = -14*a - 2. Let r be u(g). Suppose -2*o + r = -32. Does 21 divide o? False Suppose -28*a + 30*a = 1728. Suppose -3*d - d = -a. Is d a multiple of 24? True Let n = -2116 - -2128. Is 3 a factor of n? True Let g(d) = d - 2. Suppose -3*n = -4*t - 25, -3*n = -2*n - 5*t - 23. Suppose -n*l - l + 32 = 0. Is 6 a factor of g(l)? True Suppose -3*n = -g + 1229, -2*n = -2*g + 4*g - 2490. Is g a multiple of 19? False Let c = -1 - -4. Suppose -2 = -c*y - 8. Is 26 a factor of ((-104)/20)/(y/10)? True Let a(u) = -6*u**2 + 3*u - 5. Let w be a(6). Let h(y) = y**2 + 5*y - 144. Let l be h(0). Let k = l - w. Does 17 divide k? False Suppose -r + 4*c = -19, -3*c = r + r + 17. Is 3 a factor of 3/(r - 20/(-17))? False Let r(y) = -4*y**2 + 65*y - 7. Is 4 a factor of r(16)? False Suppose 10 = 3*w + 1. Suppose 27 = 5*u + w*b, -4*u = 6*b - 2*b - 20. Suppose 146 - 392 = -u*h. Is h a multiple of 19? False Let l = 129 + -574. Let i = l - -747. Is 47 a factor of i? False Let m(h) = -3*h**2 + 4*h + 729. Is 9 a factor of m(0)? True Suppose 6*b = 2*b - 20, -3*n + 5*b = -43. Suppose 296 = l - 2*x, 3*x - 790 - 116 = -3*l. Suppose h + l = n*h. Is 20 a factor of h? True Suppose 16*n + 10*n - 5850 = 0. Is 45 a factor of n? True Let i = -1121 + 2801. Is i a multiple of 12? True Is 11 a factor of (-8 + 11)*(9 - -2)? True Suppose 7*z - 17*z + 4140 = 0. Does 46 divide z? True Suppose -730 = -4*l + l - 4*k, -5*k = -3*l + 721. Suppose -2*b + 2*g + 524 = 0, b - 3*g - l = 2*g. Does 36 divide b? False Let r(s) = s**3 - 51*s**2 + 174*s + 33. Is r(49) a multiple of 17? True Let m = 49 + -91. Let q be -3 + (-15)/6*m. Is 3451/q - 1/(-6) a multiple of 17? True Let m(n) be the second derivative of n**4/12 - n**3/6 + 11*n**2 - 37*n. Suppose 0 = -4*q + 3*q. Is m(q) a multiple of 11? True Let s = 48 - 37. Suppose -s*t + 174 = -2400. Does 14 divide t? False Let c be (4 - 0)/(-1 + 3). Suppose -x = 4*w - 23, 6*x - c*x - 4*w = -8. Suppose 3*d - 146 = -k, -x*k = -3*d + k + 136. Does 16 divide d? True Suppose 22 = -4*m + 2*r, m + 0*r - r + 3 = 0. Does 5 divide 1/4 + (-142)/m? False Suppose 303*p = 301*p + 480. Is p a multiple of 48? True Let u(i) = -5*i**2 - 3*i + 2. Let l(j) = -4*j**2 - 4*j + 3. Let x(g) = -4*l(g) + 3*u(g). Let b be x(-8). Is 21 a factor of -1*(-1 + b - 34)? False Let w = 5439 + -3160. Does 53 divide w? True Let d = 1094 + -1098. Let m(z) be the second derivative of z**4/2 + 2*z**3/3 - 4*z**2 - z. Does 24 divide m(d)? True Let t(h) = 2*h**2 + 60*h + 30. Is t(-30) a multiple of 6? True Suppose -4*z - 3*z + 2380 = 0. Is 21 a factor of z? False Let y = -1318 - -2423. Is 5 a factor of y? True Let b(o) be the second derivative of o**4/12 - o**3/2 - 7*o**2/2 + o. Let p be b(5). Suppose -35 = -2*q - 5*u, -5*q + 5*u - 15 = -p*q. Is q a multiple of 3? False Let f(p) = 14*p + 18. Is 2 a factor of f(5)? True Let o(q) = -q - 1. Let m be o(7). Let i(j) = -2*j
{ "pile_set_name": "DM Mathematics" }
3). Is r not equal to 4/9? True Suppose -7*p = -11*p + 36. Which is smaller: p or 0? 0 Let y = 15 + -9. Let a(f) = f**3 - 7*f**2 + 6*f. Let s(p) = p**3 - 7*p**2 + 6*p - 1. Let o(h) = -4*a(h) + 3*s(h). Let b be o(y). Which is bigger: b or -0.1? -0.1 Let d = 121 - 131. Let g = -15/7 + 52/21. Which is smaller: d or g? d Suppose 2*k + 14 = 2*g, 8*g - 3*k = 3*g + 31. Suppose -p + d - 10 = -6*p, 2*p + g*d - 27 = 0. Which is bigger: 3/4 or p? p Let w = -1.01 - 20.49. Let j = w + 21. Which is smaller: j or -0.1? j Let z = -1 + 1. Suppose 0 = -z*c + 2*c + 4. Let m = -3 + 1. Is c > m? False Let l = 4 - 0. Suppose 5*n + 1 = -l. Which is smaller: n or 0? n Let c(t) = -t**3 - 5*t**2 - 6*t - 5. Let k be c(-4). Let m be -6*((-6)/4)/3. Let a = k - m. Is a bigger than 3/5? False Let o be 2/(-3) - (-1 + 14). Let f = o + 199/15. Is 0.2 less than or equal to f? False Let v = 14 - 18. Which is bigger: -15/4 or v? -15/4 Let s be (-6)/(-14)*(-21)/(-6). Let u = s - 1. Is u greater than or equal to 1? False Let l be (-64)/10 + 4/10. Let k be (2/l)/(7/(-42)). Is k at most 2? True Suppose 5*x = 33 + 87. Is x equal to 24? True Let r = 14 + -10. Let s = -3 + r. Let n = -11 + 67/6. Is s equal to n? False Let c be 3 + (-87)/27 + 8/18. Which is greater: 0 or c? c Suppose 12*m + 5 = 13*m. Does -3 = m? False Let y be 572/2100 + (46/(-14) - -3). Do 1 and y have different values? True Let s(n) = -n**3 + 2*n**2 + 3*n + 2. Let m be s(3). Let b(a) = -m + 4*a + 4 + 1. Let g be b(-2). Which is greater: -3 or g? -3 Let t = 52 - 41. Which is smaller: t or 12? t Let j = -0.02 - 31.98. Which is bigger: j or 1/4? 1/4 Suppose 2*m - 4*v + 8 = 0, -3*m + 5*v = -0*m + 8. Suppose -m*d = 5*t - 44, -4*d + 14 = 3*t - 6. Let y = t - 81/7. Is 0 not equal to y? True Let o = -0.9 + 1. Let s = 3 + -3.1. Let d = s - -0.3. Which is bigger: d or o? d Let a = 109 + -78. Which is greater: a or 33? 33 Suppose -5*p - 318 = -2*w, -4*w - 196 = 3*p - 26. Is p <= -64? False Let g = -0.919 - 0.081. Let l = -2 - -3. Which is bigger: l or g? l Let j(p) = -p**2 - 5*p - 3. Let y be j(-4). Let n be 7/(-9) - 2/(-2). Which is smaller: n or y? n Let u = -17.2 + 16. Let b = u + 1. Suppose -q = -2*q - 1. Which is greater: q or b? b Let a be 4 + -11 + (-2 - (4 - 2)). Is -9 < a? False Let u be (-6)/66 - 0/(-2). Which is smaller: u or -1? -1 Let s = 1.3 + -0.3. Let m = 3.02 - 3. Let a = 2.02 - m. Is s != a? True Let a be (2/8 + -1)*-4. Suppose -5*m + 2 = -a. Suppose m - 2 = u. Is -2/3 > u? True Suppose 0 = -15*o + 14*o - 1. Which is bigger: o or -2/85? -2/85 Let t = 3.3 + 13.7. Is -2/3 != t? True Let c = 301/104 - 36/13. Let s(f) = f + 2. Let l be s(-2). Suppose 7*h - 6*h = l. Do c and h have the same value? False Let u = 147/13 + -10117/897. Which is bigger: -1 or u? u Let d = -1 - -1. Let g(j) = j**2 + 130. Let y be g(0). Let i be ((-4)/y)/(2/10). Which is bigger: d or i? d Let a = -31 + 31. Which is bigger: a or 1/17? 1/17 Let a be 1/(-4) - (-486)/(-24). Let k = a - -22. Are 1 and k non-equal? True Let s = 190 + -204. Which is smaller: s or -8? s Let o be (-16)/(-40) + (-21)/40. Are 0 and o non-equal? True Let v(o) = 3*o**3 - 3*o**2 + 3*o - 2. Let d(s) = 4*s**3 - 4*s**2 + 3*s - 2. Let q(z) = 4*d(z) - 5*v(z). Let m be q(2). Suppose m*x = -x. Are -3/4 and x equal? False Suppose 109 = -6*p - 11. Is p less than -19? True Let f(t) = t - 1. Let a be f(-3). Let j = 6 + a. Suppose j*h = -3*h. Is h greater than or equal to -2/15? True Suppose 132 = 5*s + 3*y, 2*s + 124 = 7*s + y. Is 24 at most as big as s? True Suppose 0 = -4*t - 1 + 25. Suppose -3*r = -4 - 14. Is t > r? False Suppose 4 = -13*o + 11*o. Suppose 0 = m + u + 4*u + 27, -2*m - 5*u = 34. Which is bigger: o or m? o Let n = 0 + 24. Which is greater: n or 1? n Suppose 2*z + 3*k = -6 - 7, -z - 8 = 2*k. Suppose 0 = 4*b + 4, 3*w - 2*b = -b - 5. Is z <= w? True Let i = 0.14 + -0.14. Does i = 20? False Let j = 110 + -314/3. Is 4 at least j? False Let q = -0.83 + 0.93. Let y = 3.1 - 3. Is q at least as big as y? True Let n be 2/13 - (-201)/(-39). Which is greater: -4 or n? -4 Suppose v = 2*v. Let i = -1/257 - -269/3084. Which is smaller: i or v? v Let j be (-1)/(-10)*-2*1. Which is smaller: 4 or j? j Let y be -27 + 3 + 3 - -3. Let c be (27/y)/(-12 + 0). Let t = -2 + 3. Are t and c unequal? True Let m = 10 - 14. Is -5 at most as big as m? True Let z = -2 + 3. Let c = -14 - -10. Let o = c - -7. Which is bigger: o or z? o Let v(j) = j**3 + 2*j**2 - 2*j - 3. Let s be v(-2). Let m be (-1)/(-12)*(s + 1). Which is greater: 0 or m? m Let a = 6 + -6.1. Let m = -0.18 + 0.13. Do m and a have the same value? False Let l = -0.5 + -0.5. Which is greater: 3 or l? 3 Let k be 39/7 - (-2)/2. Let m = -110/21 + k. Let o(r) = r + 5. Let f be o(-4). Is f at most m? True Suppose -x + 4 = c - 1, -5*c + 25 = 3*x. Let t = -291/1403 - -10/61. Which is greater: t or x? x Suppose 0 = 25*u - 21*u - 8. Is u at least 2? True Let m(t) = t**3 - t - 4. Let h be m(0). Let g(l) = -l**3 - 2*l**2 - 3*l. Let b be g(-2). Let d = b + -9. Which is smaller: d or h? h Let x(u) = -u**2 + 14*u - 1. Let a be x(14). Let z = -171/301 + 6/43. Which is greater: a or z? z Let x be (-1)/3 + (-34)/(-66). Suppose 0 = -4*k - 3*p + 22, -22 = -7*k + 2*k - p. Suppose -i + 5 = k*i. Are i and x non-equal? True Let o(p) = 4*p + 5. Let m be o(-4). Is -10 <= m? False Let x(f) = f - 3. Let y be x(5). Suppose -y*d + 8 = -0. Suppose -v = -5*v - d. Is v > -2/7? False Let w = -3005/77 - -39. Which is greater: -1 or w? w Let b(u) = u**3 - 5*u**2 + u - 7. Let h(n) = n**2 + 6*n - 11. Let a be h(-8). Let i be b(a). Let r be 4/3*i/(-12). Is -1 at most as big as r? True Let u = 2.2 - 2.3. Is u at most as big as 28? True Let s(l) = 6*l - 2. Let p(g) = 7*g - 3. Let f(d) = -5*p(d) + 6*s(d). Let j be f(12). Let o be (-2)/(-15) + (-5)/j. Which is bigger: o or 1/3? 1/3 Let u = -71 - -72. Do 2/59 and u have different values? True Let b = 44/7 - 118/21. Do -16 and b have different values? True Let w = -0.3 + 3.3. Let r = -169 + 155.2. Let l = r - -14. Which is greater: l or w? w Let a = -66 - 26. Let j = a + 283/3. Is -1/4 equal to j? False Let z = -1 - -3. Suppose v + 3 - z = 0. Let d = 2/85 + 77/340. Is d smaller than v? False Let l = -8 + 13. Suppose -29 = -l*d - 9. Suppose -d*y - 7 = -19. Which is smaller: 2 or y? 2 Let z be -2 - (0 + -2 + -2). Suppose -3*g + 6 = -4*a, -2*a + 16 = -z*g - 6*a. Is g bigger than -2? False Let w(n) = n**3 - 7*n**2 + 3*n - 3. Let p be w(3). Let s be ((-2)/(-2))/((-2)/p). Suppose -2*m = 2*u + 2*m - 14, 0 = -3*u - 4*m + s. Which is smaller: u or 5/4? u Let w be -3 + ((-48)/(-33) - -1). Suppose -4 = 4*t - 0. Which is bigger: t or w? w Let q(p) = p**2 + 2*p - 2. Let a be q(1). Which is bigger: -2/33 or a? a Suppose 3 = -g + 10. Let i be ((0 - 2) + g)/1. Suppose 3*l = -0*l + 2*x - 1, 0 = -i*l + x - 11. Which is smaller: l or -2? l Suppose -2*c + 9 - 3 = 3*y, -3*c + 5*y + 28 = 0. Let m = 8 - c. Is m greater than or equal to 3/5? True Let t = -1528/3 + 518. Which is greater: t or 9? 9 Let g = -10 - -7. Do g and -7/2 have different values? True Suppose 0 = -5*y + 4*m + 5 - 41, -2*m = 4*y + 8. Let n be 10/(-45) - 88/9. Let d(k) = k**2 + 9*k - 12. Let g be d(n). Which is greater: g or y? g Let k(t) = t - 4. Suppose 0*a + 4 = a. Let v be k(a). Is 0 greater than or equal to v? True Let v be 108/(-328) + 1/2. Let z = -139/574 + v. Which is greater: z or 1? 1 Let c = 0 + 1. Suppose 5*q + 4*t = -c + 3, -2*q = 5*t + 6. Let l be (-1 - (-21)/(-27)) + q. Is l at least 1? False Let q = 45 + 9. Which is smaller: 56 or q? q Let n be 632/(-3234) + (-2 - (-48)/22). Which is smaller: n or 1? n Let u = -23 - -23. Suppose -s + u*s = 6. Let v(r) = -5*r**3 + 1. Let g be v(1). Which is bigger: s or g? g Suppose -12 = 3*z, z - 56 = -3*l + 3*z. Suppose 0 = 3*s + 3*q + 12, s + q - 4*q - l = 0. Is -2/19 at least as big as s? False Suppose 2 + 0 = -2*w. Let u = 7 + 0. Suppose 5*c = -u + 2. Is c >= w? True Let q be (40/6)/((-1)/3). Suppose -5*p + f = 74, 4*p + 0*p = 4*f - 56. Let z be q/p + 2/3. Is z bigger than 2? False Let h(p) = 2*p + 11. Let q be h(-8). Let t(z) = z**2 + 6*z + 7. Let u be t(q). Let a = 1 - u. Is a bigger than -3? True Let r = 5 + -2. Suppose -2 = r*k - k. Are 2/11 and k non-equal? True Let u = 12 - 14.5. Let t = -2.3 - u. Are -10 and t non
{ "pile_set_name": "DM Mathematics" }
10, k, -2 Suppose -24*r + 274 = -25*r. Let h = -266 - r. Put 3, h, 1 in ascending order. 1, 3, h Let a be 4*(-2 + 110/54). Let o = 35/54 - a. Let w(i) = -1753*i - 7005. Let d be w(-4). Sort d, -1, o, -0.1 in decreasing order. d, o, -0.1, -1 Let g(h) = -4*h**3 + 55*h**2 + 11*h + 46. Let r be g(14). Sort 16, r, 135, 5 in ascending order. r, 5, 16, 135 Suppose -s = -2*u, 2*u = -u - 3*s - 9. Let o = -1092.87 + 1093. Sort u, 4, o, 0.5 in descending order. 4, 0.5, o, u Let i(l) = -l**2 + 7*l + 3. Let f be i(8). Let o = 0 - f. Let r(j) = -11*j - 172. Let v be r(-16). Sort 6, v, o. v, o, 6 Let i = -1439.08 - -1438.7. Put i, -1, 0.7 in decreasing order. 0.7, i, -1 Let n = 7.4 - 4.4. Let g be (79/(-27) - -3)*3. Let p = 69 + -70. Put p, n, 1/6, g in descending order. n, g, 1/6, p Let h = 88.63 - -10.57. Let m = -94 + h. Let t = m - 5.02. Sort t, -2/9, -1/4, -1/2. -1/2, -1/4, -2/9, t Let v be 91/273*(-18)/33. Let t be 236/(-581) + 12/42. Let h = t - 282/415. Sort 0.1, h, v, 0.01. h, v, 0.01, 0.1 Let b = 73 - 76.3. Let t = b + 6.3. Let o = 4.99 + 0.01. Sort -2/3, o, t in ascending order. -2/3, t, o Let u = -23029 - -23029.5. Put 13, 7/5, u in ascending order. u, 7/5, 13 Suppose 144*a = -304 - 216 + 88. Put -4, 5, 1, a in decreasing order. 5, 1, a, -4 Let u = 38/9 + -476/117. Let c = -258 + 259.072. Let o = c + -0.072. Put o, -0.1, u, -1/8 in decreasing order. o, u, -0.1, -1/8 Let n(k) = -k**3 - 15*k**2 - 17*k - 20. Let l be n(-14). Suppose 0 = -8*w + 86 - l. Let m be 12/21*-4 + w/28. Sort 3, m, -10 in increasing order. -10, m, 3 Suppose 10*l = 18*l - 32. Let z be -7 - (-8 - (-2)/4*l). Sort -5, -4, z, 5 in descending order. 5, z, -4, -5 Let n = 971 + -971.617. Let t = 0.117 + n. Put 0, t, 4 in decreasing order. 4, 0, t Suppose -1 = 5*y + 4. Let o be y*4 + (-16)/8. Let l be ((-8)/(-3))/((-4)/o). Sort 5, -5, l in descending order. 5, l, -5 Let f = -728.194 - -732. Let q = -0.806 + f. Let r = 1 + -1.4. Sort q, 2/17, r in ascending order. r, 2/17, q Let m be -12*((-42)/7)/(-12). Put 0, -8, m, 3 in descending order. 3, 0, m, -8 Let r be (2/3)/(92/24 + -4). Let h be 3145/3825 - 4/18. Sort -2/13, -0.3, r, h in ascending order. r, -0.3, -2/13, h Let q be ((-22)/132)/((-1)/(-2)). Put 1, -0.1, 10, q in decreasing order. 10, 1, -0.1, q Let b be (813/1626)/(-1*1/(-10)). Let x = -16 - -8. Let k = -5 - x. Sort b, -2, k, 4. -2, k, 4, b Suppose -36*c - 9*c + 1350 = 0. Let a be (3/2)/(5*3/c). Sort -1, -20, 1, a in decreasing order. a, 1, -1, -20 Let i = -12804 + 12799. Put 5, -9, i, -33 in ascending order. -33, -9, i, 5 Let x = -1999 - -1998. Put 12, -4, x, -2 in decreasing order. 12, x, -2, -4 Let l be (-15)/(150/4) + (-12)/(-5). Let v be (11 + -4 - l) + 0. Let d(n) = n**2 + 15*n + 23. Let g be d(-13). Put 2, g, v in decreasing order. v, 2, g Suppose -4*y = -d - y + 11, -2*d - 2*y - 2 = 0. Let v(a) = a + 18. Let i be v(-14). Let h be i/2 + ((-33)/3 - -6). Put d, 1, -4, h in ascending order. -4, h, 1, d Let v = -144 - -129. Let u be (-2)/(-4)*6/(-18). Sort v, -0.2, u in descending order. u, -0.2, v Suppose 60*g - 3 = 63*g. Suppose 0*i + 4 = -i - 2*a, -33 = 5*i - 3*a. Sort 8, g, i in ascending order. i, g, 8 Let h be 5 - 246/45 - 2/(-3). Sort h, 0.3, -305, 5/2, -7 in decreasing order. 5/2, 0.3, h, -7, -305 Suppose 8*b + 16 = 4*b. Let n be (b/(-16))/((-11)/(-132)). Suppose 0 = z + 3 - 4. Put z, n, 2 in descending order. n, 2, z Let u be -1*((-7 - -3) + 13). Let r = u + 11. Suppose g = -4*g + 3*g. Sort r, g, -2, 4 in descending order. 4, r, g, -2 Let k = -373 + 373. Let h = -0.31 - -0.01. Sort h, 1/2, k, -4 in descending order. 1/2, k, h, -4 Let x be (-1 - 7/(-4)) + 273/52. Let c(k) = -k**2 - k + 44. Let n be c(x). Let b = -77 + 75. Sort 0, b, 5, n in increasing order. b, 0, n, 5 Let y(g) = -526*g + 3160. Let o be y(6). Sort 6, 3, o, 13 in decreasing order. 13, 6, o, 3 Suppose 62 + 6 = -n. Let v = n - -70. Let u be (-11)/(-3) + v/6. Put u, -8, -3 in decreasing order. u, -3, -8 Let q = -1080956/77 - -98270/7. Let d(c) = -2*c**2 - 4*c - 2. Let a be d(-2). Put 0.04, a, q in ascending order. a, 0.04, q Let c = -22867/11 - -2079. Put c, -7, -4, 2, 1/7 in increasing order. -7, -4, 1/7, c, 2 Let b = 22 + -21.6. Suppose 3*r + 335 + 229 = 0. Let s = r - -9963/53. Put 0.5, s, b in increasing order. s, b, 0.5 Let t = -218.953 + 219. Let h = -1.147 + t. Sort h, -1/8, -4 in increasing order. -4, h, -1/8 Suppose -3*a = n + 7 - 1, 0 = -4*n + 2*a - 52. Put -3, 16, n, -1 in decreasing order. 16, -1, -3, n Let w = -8464 + 8408. Sort -5, 3, w in ascending order. w, -5, 3 Let r(n) = -n**2 + 6*n. Let g be r(6). Let p = -570 + 566. Sort 1, g, -10, p. -10, p, g, 1 Let a = -218 + 219. Let x = 0.1 - -0.2. Sort x, a, 6/5, -3/2 in increasing order. -3/2, x, a, 6/5 Suppose -27*k + 187 = -r - 29*k, 5*r + 2*k = -927. Sort 2, -3, r in increasing order. r, -3, 2 Suppose 0 = 4*l + 5*k + 15, -l - k - 3 - 1 = 0. Let v = -265.9 + 124.7. Let q = v - -141. Sort q, 3, l in decreasing order. 3, q, l Let j(f) = -f**3 - 8*f**2 + 13*f - 71. Let i be j(-10). Sort 48, i, -2, 10 in decreasing order. 48, 10, i, -2 Let b(w) be the first derivative of -34*w**3/3 - 3*w**2/2 + 3*w + 93. Let n be b(1). Sort n, 4, 3 in increasing order. n, 3, 4 Let v be (-124)/((3/27)/((-3)/6)). Let a = v - 566. Suppose 0 = -5*l + 2*r + 21, 0*r = -l + 4*r - 3. Sort a, l, -3 in descending order. l, -3, a Suppose 0 = 54*x + 3299 + 3181. Sort -5, 0, x in descending order. 0, -5, x Let q(m) = 5*m - 18. Let y be q(5). Let w be 100/(-140) - 2/y. Let p = 1 - 0. Sort w, p, 5 in decreasing order. 5, p, w Let j(c) = -c**3 - 5*c**2 + 23*c - 7. Let s be j(-8). Let k(x) = -2*x**3 + 5*x**2 - 3*x + 1. Let l be k(s). Sort -4, -5, 10, l in increasing order. -5, -4, l, 10 Let g be (-16)/(-105) + (-2)/7. Let a = 0.162 + 0.028. Let r = a - -0.31. Put 2, g, r in decreasing order. 2, r, g Let y = 3 + -2. Suppose 4*r = -3*q + 3 - 27, 0 = 3*r + 7*q + 75. Put r, 4, y, -10 in decreasing order. 4, r, y, -10 Let f = 0 - 0. Suppose 7*z - 11*z - q = 1094, 0 = 2*z + 2*q + 544. Let j = -1374/5 - z. Put -0.7, f, j in decreasing order. f, -0.7, j Suppose -137*k - 150 = -212*k. Let j(p) = -p - 8. Let y be j(-12). Sort y, -2, k, 7 in decreasing order. 7, y, k, -2 Let q = 24499 + -24498.35. Sort -8/7, q, 2 in increasing order. -8/7, q, 2 Let h be 1 - (1 + (-4)/(-6)). Let l = 0.9 - -123.1. Let u = l - 119. Sort 1/3, u, -0.1, h in increasing order. h, -0.1, 1/3, u Let i = -7050 - -63484/9. Sort -0.4, -2, i, 0.4 in ascending order. -2, -0.4, 0.4, i Let r = 529/1251 - -3/139. Let w be ((-1400)/12)/(-25)*2/(-7). Sort r, w, 4, -13 in ascending order. -13, w, r, 4 Let j be 70/24 + (-12)/27*3. Let q = 11/6 - j. Sort q, 0.05, -5, -4. -5, -4, 0.05, q Suppose -6*u + 2*u - 20 = 0. Suppose -2*o - 17 = -7*m + 6*m, -5*m = -o - 85. Let b = 21 - m. Sort 2, u, b in decreasing order. b, 2, u Suppose -299*h = -320*h - 84. Put h, 338, -2 in descending order. 338, -2, h Let y = -48551 - -48561. Suppose s = 1 + 3. Sort s, y, 3 in decreasing order. y, s, 3 Let d = 74 - 69. Suppose 5*g - d*u + 14 = 69, -5*g - 5*u + 15 = 0. Let b be 3/(-2)*(3 + (-4)/(-12)). Sort g, 5, -3, b in ascending order. b, -3, 5, g Let p(i) = i**3 - 3*i**2 - 5*i - 22. Let c be p(5). Suppose 0 = c*k - k - 4, -2*f + 4*k - 8 = 0. Sort 5, f, -16 in increasing order. -16, f, 5 Let a = 1171 - 1170.8. Let c = 0.74 - -0.16. Let p = c + 0.1. Put 12, a, p in descending order. 12, p, a Let b be (2/6*9)/3. Suppose 4*j - 3*w = 5, 2*j - w + 0 = b. Let c = 4 - j. Put 2/9, 0.5, c in increasing order. 2/9, 0.5, c Let g(d) be the third derivative of d**4/24 + 10*d**3/3 + 72*d**2. Let z(f) = -f - 11. Let j be z(9). Let x be g(j). Put -15, x, -4 in decreasing order. x, -4, -15 Let g be (64 + -3)/(1/7). Let k = g + -426. Put k, 4, 13, 2 in decreasing order. 13, 4, 2, k Let a(v) = v - 4. Let g be a(4). Put g, 4, 59 in decreasing order. 59, 4, g Let j(g) = -168*g - 336. Let a be j(-2). Suppose 0*i = 2*i - 40. Suppose -6*y + i = -2*y. Sort y, a, -1, -4 in increasing order. -4, -1, a, y Let w(c) = c**3 + 11*c**2 - 22*c + 4. Let m be w(-12). Sort m, 5, -2 in descending order. m, 5, -2 Let f = -10742.5 + 10743. Sort -0.02, -0.112, f. -0.112, -0.02, f Let d = 18.9 - 23.9. Sort -15/8, 4, d, 0.3. d, -15/8, 0.3, 4 Let r be 3/(6/48 - (-33)/24). Suppose 0 = r*y
{ "pile_set_name": "DM Mathematics" }
1, g: 1, n: 1, z: 1}. 1/10 Four letters picked without replacement from {x: 1, g: 1, w: 1, t: 2, a: 5, c: 3}. What is prob of picking 4 a? 1/143 What is prob of picking 1 s and 2 h when three letters picked without replacement from {n: 1, p: 1, u: 4, s: 7, h: 4, k: 3}? 7/190 Calculate prob of picking 1 e, 1 u, and 2 f when four letters picked without replacement from {r: 4, l: 1, f: 2, e: 3, u: 1}. 1/110 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkllk. 5/18 Calculate prob of picking 2 p when two letters picked without replacement from {s: 6, r: 1, n: 6, p: 5}. 10/153 What is prob of picking 1 j and 1 l when two letters picked without replacement from {l: 2, t: 7, j: 6}? 4/35 Calculate prob of picking 2 c when two letters picked without replacement from cccs. 1/2 Two letters picked without replacement from {x: 3, v: 3, s: 3, y: 3}. What is prob of picking 1 v and 1 y? 3/22 Two letters picked without replacement from {j: 1, k: 2, m: 1}. What is prob of picking 2 k? 1/6 Two letters picked without replacement from rrmmmrmm. Give prob of picking 2 r. 3/28 Two letters picked without replacement from jjxj. What is prob of picking 1 x and 1 j? 1/2 Two letters picked without replacement from fmulq. What is prob of picking 1 l and 1 f? 1/10 Calculate prob of picking 3 n when three letters picked without replacement from nnnn. 1 Calculate prob of picking 3 q and 1 h when four letters picked without replacement from {k: 1, a: 1, h: 3, e: 1, q: 5}. 1/11 What is prob of picking 3 g and 1 n when four letters picked without replacement from {g: 13, n: 2, w: 3}? 143/765 Three letters picked without replacement from {g: 2, s: 7, j: 4, q: 2, n: 2}. Give prob of picking 1 s and 2 q. 7/680 Two letters picked without replacement from {d: 1, e: 1, g: 1, a: 1, y: 2, l: 1}. What is prob of picking 1 y and 1 g? 2/21 What is prob of picking 3 h and 1 t when four letters picked without replacement from thtttththt? 1/30 Four letters picked without replacement from kvvkvkvededvkkkkk. Give prob of picking 1 e and 3 v. 1/119 What is prob of picking 3 y when three letters picked without replacement from yydjy? 1/10 Calculate prob of picking 2 g when two letters picked without replacement from znggwngwlnwnggg. 1/7 What is prob of picking 1 m, 2 r, and 1 h when four letters picked without replacement from {u: 2, g: 1, r: 5, h: 2, c: 1, m: 2}? 8/143 What is prob of picking 2 h and 2 a when four letters picked without replacement from {h: 2, y: 2, a: 3, e: 2, b: 4}? 3/715 Calculate prob of picking 1 u and 2 j when three letters picked without replacement from {j: 3, u: 3, k: 13}. 3/323 Calculate prob of picking 2 z when two letters picked without replacement from {d: 3, z: 9}. 6/11 Calculate prob of picking 2 y, 1 q, and 1 x when four letters picked without replacement from {x: 2, t: 1, q: 2, j: 3, y: 6}. 60/1001 What is prob of picking 1 o and 1 e when two letters picked without replacement from ksbbtokosoeoeokoks? 4/51 Two letters picked without replacement from adadaaaaddda. Give prob of picking 2 d. 5/33 Three letters picked without replacement from cbcscwcssscwcsbwc. What is prob of picking 1 b and 2 w? 3/340 Two letters picked without replacement from {m: 6, a: 2, g: 3, t: 1, j: 1}. Give prob of picking 1 j and 1 a. 1/39 Calculate prob of picking 2 y when two letters picked without replacement from jwjyjwwwxwwwwwywjww. 1/171 Three letters picked without replacement from {m: 4, n: 3, p: 1}. Give prob of picking 2 m and 1 p. 3/28 Two letters picked without replacement from dtflaazdz. What is prob of picking 1 a and 1 d? 1/9 Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mxubimmxmiib. 4/33 Calculate prob of picking 2 p and 2 e when four letters picked without replacement from mexpptxppxcx. 0 Calculate prob of picking 1 y and 2 a when three letters picked without replacement from eyayyeea. 3/56 Four letters picked without replacement from mkkkkkkkkm. Give prob of picking 1 m and 3 k. 8/15 Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, b: 1, t: 6, s: 6}. 5/57 Two letters picked without replacement from lvudldupddlpv. What is prob of picking 1 u and 1 p? 2/39 Calculate prob of picking 2 f when two letters picked without replacement from bjbzcbfllbflcl. 1/91 Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {l: 1, n: 1, s: 1, p: 1, t: 1}. 1/10 Four letters picked without replacement from uuuuu. What is prob of picking 4 u? 1 Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 1, z: 1, y: 1, l: 1, i: 1}. 1/10 Two letters picked without replacement from {a: 5, f: 5}. What is prob of picking 2 a? 2/9 Two letters picked without replacement from iiiiiiififfiffiifi. What is prob of picking 2 i? 22/51 Four letters picked without replacement from {v: 1, k: 9, m: 10}. What is prob of picking 4 m? 14/323 Calculate prob of picking 3 y when three letters picked without replacement from ydydyyyyydd. 7/33 Calculate prob of picking 1 w, 1 d, and 1 c when three letters picked without replacement from dddxddddpdccddddw. 3/85 Four letters picked without replacement from cfgccfccfnnfc. Give prob of picking 1 g, 1 f, 1 n, and 1 c. 48/715 What is prob of picking 1 k and 2 o when three letters picked without replacement from kogqqkxkqjqj? 0 Four letters picked without replacement from {u: 1, a: 7, b: 2, n: 2}. What is prob of picking 3 a and 1 n? 14/99 Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {a: 2, f: 2, v: 7, g: 8}. 56/171 What is prob of picking 2 g when two letters picked without replacement from {z: 4, e: 3, g: 3, i: 2, q: 2, k: 2}? 1/40 What is prob of picking 1 g and 1 k when two letters picked without replacement from {k: 1, n: 2, w: 2, g: 1, a: 1}? 1/21 What is prob of picking 1 t and 3 i when four letters picked without replacement from liillltiltiit? 6/143 Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {a: 1, n: 1, e: 2, t: 3, f: 10}. 27/136 Two letters picked without replacement from {k: 2, z: 2, d: 2, c: 1, w: 3, e: 2}. What is prob of picking 1 k and 1 c? 1/33 What is prob of picking 2 z when two letters picked without replacement from {z: 5, u: 2, o: 4}? 2/11 Calculate prob of picking 1 y and 2 d when three letters picked without replacement from xdzzdzxddzzzzzyzz. 3/340 Two letters picked without replacement from {h: 3, p: 4, u: 1, e: 2, s: 1, z: 1}. What is prob of picking 1 p and 1 z? 2/33 Calculate prob of picking 2 d and 1 l when three letters picked without replacement from docdogldldlglgllg. 9/170 Four letters picked without replacement from {a: 3, o: 2, i: 4}. Give prob of picking 2 o, 1 i, and 1 a. 2/21 What is prob of picking 2 t when two letters picked without replacement from {x: 1, q: 1, u: 1, e: 1, t: 2, w: 1}? 1/21 Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, a: 1, p: 2}. 1/10 Two letters picked without replacement from {k: 2, f: 5, t: 3}. Give prob of picking 2 f. 2/9 Three letters picked without replacement from xmtptkxy. Give prob of picking 1 x, 1 p, and 1 y. 1/28 Calculate prob of picking 2 x and 2 o when four letters picked without replacement from {o: 8, x: 3}. 14/55 What is prob of picking 1 e, 1 q, and 1 b when three letters picked without replacement from {e: 1, q: 2, b: 1}? 1/2 Calculate prob of picking 2 o when two letters picked without replacement from ruruurrsusurrruuo. 0 Two letters picked without replacement from {y: 5, q: 3, k: 1, m: 1}. Give prob of picking 1 q and 1 k. 1/15 Two letters picked without replacement from {t: 2, a: 2, j: 1, v: 1, f: 1, i: 1}. What is prob of picking 1 f and 1 a? 1/14 Four letters picked without replacement from {k: 10, p: 10}. What is prob of picking 4 p? 14/323 Three letters picked without replacement from {u: 6, x: 2, d: 2, n: 1}. Give prob of picking 2 d and 1 x. 2/165 What is prob of picking 2 n when two letters picked without replacement from nnq? 1/3 Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {t: 1, h: 1, l: 1}. 1/3 Two letters picked without replace
{ "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" }
9). What is the third biggest value in j, 3, -3/4? -3/4 Let w = 6280 + -6280.3. Which is the fifth smallest value? (a) 1 (b) 3/8 (c) w (d) 2 (e) 7/2 e Let x = 0.5 + 8. Let l = x + -5.5. Which is the second smallest value? (a) l (b) -4 (c) -3 (d) -3/4 c Let m = 20751 - 20751. What is the second smallest value in 0.4, 276, -1/14, m? m Let q = 20331 + -20334. Let h = -0.09 - 0.11. Which is the smallest value? (a) q (b) -2/21 (c) h (d) -2/23 a Let s = -677.1 + 677. Let g = 0.038 + 0.262. What is the third smallest value in 139, g, s, -4/3? g Let o = 91.76 + -88. Let j = o + 0.24. Which is the smallest value? (a) -4/3 (b) j (c) -2 (d) -11 d Let m = 142.1 + -142. Let t = -52.5 + 66. Let l = 14 - t. Which is the smallest value? (a) 7 (b) l (c) m c Suppose 272 = -5*y - x, -4*y - 4*x = x + 226. What is the biggest value in 2, y, -1? 2 Let m(u) = -u - 3. Let q be m(1). Let f = 519 - 516. Which is the third biggest value? (a) -0.13 (b) f (c) q c Let z = 276.164 + -0.164. Let r = -277.62 + z. What is the second smallest value in r, -4, 4? r Let q = 0.24 - -0.16. Let a be 4/(-3240)*(2 - (-2048)/(-12)). Let w = a - 2/243. What is the biggest value in w, 1, 4/3, q? 4/3 Let g = 195.2 + -194.7. Which is the second smallest value? (a) g (b) -5 (c) -0.1 (d) -1/4 (e) -1.7 e Let q = 164.95 - 165. Suppose -f - 1 = 3. What is the smallest value in q, 3, f? f Suppose -3*h - 308 = -7*h. Let q = 13/322 - 223907/2898. Let b = q + h. What is the third smallest value in 2, 1, b? 2 Suppose 5*g + 2*z - 9 = 4*g, -10 = -4*g + 5*z. Let b = -2.972 + -1.028. What is the third biggest value in g, -1/2, b? b Let m = -24932.96 - -24137. Let w = 796 + m. What is the biggest value in w, 5, 4? 5 Let k = 585/358 + -24/179. What is the third smallest value in 0, -67, -2/9, k? 0 Let j be -1*(1 - 2) + 408/(-357). Which is the fourth smallest value? (a) 0.4 (b) 3/7 (c) -0.0669 (d) j b Suppose -2*f - 7*f = 0. Let x be ((-18)/(-12) + -2)*4/(-90). What is the second smallest value in -5, f, x? f Let n = -0.471 - -1.251. Which is the fourth smallest value? (a) -4 (b) n (c) 3 (d) -0.2 c Suppose 5*j = 5*x - 3*x + 21, 0 = -3*x + 6. Let m(g) = -4*g**2 + 22*g - 8. Let n be m(j). Which is the biggest value? (a) n (b) 6 (c) 0.6 b Let x(j) = -2*j**3 - j - 4*j**2 + 2*j**2 + 0*j**3. Let f be x(-1). Let n = 1802.97 + -1803. Which is the third smallest value? (a) f (b) n (c) -2/7 a Let s = -8413.6 + 8414. Which is the third smallest value? (a) -0.4 (b) 19/3 (c) 1 (d) 3/4 (e) s d Let s = 3 + -3.2. Let r = -0.36476 + -0.03524. Which is the smallest value? (a) 2 (b) s (c) r (d) 0.033 c Let w = 48 - 53.3. Let y = 5 + w. Let h = -1.7 + y. Which is the third smallest value? (a) h (b) 1 (c) 0.5 (d) -0.2 c Let t = 0.08302 - -0.21698. Let s(g) = g**3 + 9*g**2 - 12*g - 25. Let v be s(-10). Which is the biggest value? (a) t (b) -2/5 (c) 1 (d) v c Let g = -309/5 + 185/3. Let v = -4 - -3.6. Let l = -247 + 246. What is the third smallest value in g, v, l, -0.5? v Let j = -5 - -1. Let p = -1230 + 1281. What is the smallest value in p, j, 2/3? j Let h = 5170/3 + -1723. What is the smallest value in 67, h, -1/2? -1/2 Let w = 363 + -359. Suppose 0 = w*f + 6 + 26. Which is the fourth smallest value? (a) f (b) -1 (c) 0 (d) 0.1 d Suppose 2 = -j - 18. What is the third smallest value in -1, 2/9, j? 2/9 Let p = -13156.6 - -13157. Let w = -1 - -1.1. Let n = w + -0.5. Which is the second smallest value? (a) -4/5 (b) p (c) n (d) -5 a Let f be ((-4356)/25410)/((-5)/35*(5 + -2)). Let x be 2/2*(-1)/2. What is the third smallest value in x, -0.101, f? f Let g = 474324 - 474319. Let v = -1 + 1.5. Which is the second biggest value? (a) -0.1 (b) 24 (c) v (d) g d Let l be (290/35 - -1) + -11 + 2. Let n = 0.2 - -0.3. Which is the second biggest value? (a) l (b) -2 (c) n (d) 8 c Let u(l) = -7*l**3 - 6*l + 18. Let m be u(3). Let q = -191 - m. Which is the third biggest value? (a) -11/3 (b) q (c) 2/7 (d) 5 b Let j = 479 - 483. What is the smallest value in 0.3, 2/181, j? j Suppose -5*z = -5*v - 10, 3*v + 6*z = 2*z + 22. Let a be (-2)/6*(-6)/(-16). Let r = 11 - 11.4. What is the fourth smallest value in r, -4, a, v? v Let n = -8 + 8.3. Let o = 5409 - 5411. Let m = 0.7 + 0.8. What is the third smallest value in o, n, m? m Let k = 23397178/205 + -114132. Let m = k - -1/41. Which is the third smallest value? (a) m (b) 0 (c) -4 a Suppose 415*y - 3*s = 411*y - 6, -5*y = 5*s - 10. Which is the second biggest value? (a) -3 (b) 1.2 (c) y (d) -5 c Let o = 0.20754 + -35.90754. Which is the third biggest value? (a) -1/6 (b) 6 (c) -3 (d) o c Let c = -0.4 - -0.3. Let f be (-12)/(-42)*(-1176)/(-21) + -13. Let l = -0.3 + 0.35. What is the second biggest value in l, -3/7, f, c? l Suppose 66*t + 105 = 65*t. Let v be ((-3)/(-8))/(t/(-28)). Let d = 8.3 + -8. Which is the third smallest value? (a) v (b) 4 (c) d b Let m = -32530 - -32529.9. Let r = 0.7 + -0.2. What is the second biggest value in -6, m, r, -0.2? m Suppose 23 = -5*r - 22. Let x = 17 + r. Let j = -0.188 - -1.188. What is the biggest value in 0.3, x, 2/11, j? x Suppose g + 17 - 13 = 0. Let s = -1608 - -1605. What is the second smallest value in g, 24, -0.06, s? s Let p = -89.9 - -88.8. Which is the smallest value? (a) 2/29 (b) p (c) 1 b Let g be (115/10)/((-2)/12). Let x = 70 + g. Which is the fourth biggest value? (a) x (b) -3 (c) -1 (d) 2 b Let j = 63 + -69. Let f = 11 + j. Let t be -1*((-3)/(-7) - 0). Which is the third biggest value? (a) t (b) f (c) -4 c Let z = 213.14 + -203.14. Let l = -7.5 - -8. What is the biggest value in z, l, -1/6? z Suppose 3*m - 2*m = 0. Let o be (m + -2)/(14/(-4)). Let z = -2.75 - -2.75. Which is the biggest value? (a) 2 (b) z (c) o a Let r = 155 + -311/2. Let i(l) = -l**3 - 11*l**2 + 16*l + 53. Let z be i(-12). Which is the smallest value? (a) r (b) -40 (c) z b Let s = -936.8 - -937.6. What is the third biggest value in -188, s, -5? -188 Let n = 5.7 - 5.737. Let f = 157.1 + -158.137. Let v = f - n. Which is the fourth smallest value? (a) 7 (b) 4 (c) v (d) 2/5 a Let m be 2/(-48) + (-1)/3. Let v = 23174.5 - 23175. What is the biggest value in 2, m, v, -3? 2 Let y = -2.7 + 1.7. Let k = 0.78 + y. Let f = 19 + -59/3. Which is the smallest value? (a) k (b) f (c) -0.1 b Let i = 278.7 + -278.5. What is the biggest value in -17.7, 0.3, i, -2/5? 0.3 Let h = 6 - 8. Let p = 1555/8 - 194. Let x be (-3)/(-54) - 4/18. What is the second smallest value in h, x, p? x Let g = -0.29 - -0.29. Let d(q) = q**3 - 3*q**2 + 2*q. Let l be d(3). Let n = -194.4 - -194. What is the third biggest value in g, n, l? n Let o be (-14)/161 - 33/414. Suppose 47*g = 42*g + 5*k - 35, 4*g + 3*k + 7 = 0. Let s = 0 + 1. Which is the second smallest value? (a) s (b) g (c) o c Let a = 166/9 - 163/9. What is the second smallest value in 0.4, 68/5, -5, a? a Let r = -392 - -392.4. Let u = -66/13 - -331/78. Which is the smallest value? (a) 5 (b) r (c) u c Let u be (4 + -5)*2/4 - (-43)/172. Which is the second biggest value? (a) 1 (b) -6 (c) u (d) 0 (e) -4 d Let q = -133 + 134.8. Suppose 3*h - 65 = x - 18, 0 = -4*x + 4. Suppose -8*w - h = -12*w. What is the fourth biggest value in q, -5, w, 0.3? -5 Let l = 390 - 393. Which is the smallest value? (a) -5 (b) -15 (c) -45 (d) l c Let v = -7828 - -7827.8. Which is the third biggest value? (a) 1469 (b) 4 (c) v c Let a be (-5)/((-50)/(-6))*(-5 - 3900/(-756)). What is the third biggest value in 3, -0.38, -2/7, a? -2/7 Let z = 15762 - 15692. Which is the third smallest value? (a) -12 (b) z (c) 4 (d) -5 c Suppose 299*y = -22 + 919. Let q = -4 + 3. What is the second biggest value in q, y, -2/25? -2/25 Let w = 3605 - 3605. Which is the fourth biggest value? (a) -0.3 (b) w (c) 1.3 (d) -3/2 d Let h = -0.661 + 1.161. Suppose 2*i + 12 = -2*r, r - 3*r - 4 = 0. What is the second biggest value in h, 2, i, -15? h Let h = 17672.09 + -17572. Let g = h + 0.91. Let w = -101 + g. Which is the second biggest value? (a) -1/2 (b) 1 (c) w (d) -3 c Let f = 0.2 - 3.2. Let y = 371 - 383. What is the biggest value in y, 2, f? 2 Let k = -22.4 - -22. Let s = -0.1 - 0.07. Let n = s - 2.83. What is the third smallest value in n, k, 4? 4 Let a = -1.53 +
{ "pile_set_name": "DM Mathematics" }
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