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29656? 337 Calculate the greatest common divisor of 83361 and 16095. 111 What is the highest common factor of 25494 and 1806? 42 What is the highest common factor of 117741 and 39? 39 Calculate the highest common factor of 609 and 6069. 21 Calculate the greatest common factor of 29154 and 678. 678 Calculate the greatest common divisor of 13864 and 2504. 8 Calculate the highest common factor of 17670 and 190. 190 Calculate the greatest common factor of 1368789 and 51. 51 What is the highest common factor of 15621 and 615? 123 What is the greatest common divisor of 383 and 3893961? 383 Calculate the greatest common factor of 168 and 560. 56 Calculate the highest common divisor of 3347 and 7. 1 What is the highest common factor of 268 and 338752? 268 Calculate the highest common factor of 690 and 32545. 115 What is the highest common divisor of 82242 and 576? 18 What is the highest common factor of 480555 and 156645? 2655 What is the highest common divisor of 99676 and 20? 4 What is the greatest common factor of 21684 and 3588? 156 What is the greatest common factor of 21952 and 1064? 56 Calculate the highest common divisor of 78678 and 4836. 186 What is the greatest common factor of 756 and 13860? 252 What is the highest common divisor of 1275 and 493? 17 What is the highest common divisor of 23343 and 651? 93 What is the highest common factor of 8141 and 28? 7 Calculate the highest common divisor of 19 and 109117. 19 What is the highest common factor of 43763 and 7362? 409 Calculate the greatest common factor of 112495 and 20385. 755 Calculate the highest common divisor of 4346 and 12349. 53 Calculate the greatest common divisor of 2180 and 237838. 218 Calculate the highest common divisor of 11748 and 2508. 132 What is the greatest common divisor of 3625 and 8555? 145 Calculate the greatest common factor of 1242 and 4374. 54 Calculate the highest common divisor of 289445 and 2379. 793 Calculate the highest common factor of 1657113 and 669. 669 Calculate the greatest common factor of 205040 and 45. 5 What is the highest common divisor of 7472 and 1600? 16 Calculate the greatest common factor of 44 and 61402. 22 What is the highest common divisor of 421 and 2032167? 421 Calculate the greatest common factor of 1290 and 18570. 30 Calculate the highest common divisor of 110398 and 382. 382 Calculate the highest common divisor of 80414 and 6696. 62 Calculate the greatest common factor of 14701 and 4331. 61 Calculate the greatest common factor of 181443 and 93. 93 Calculate the greatest common factor of 49293 and 630. 9 What is the greatest common factor of 5181 and 528? 33 Calculate the greatest common divisor of 819 and 14976. 117 Calculate the greatest common factor of 75 and 3584150. 25 Calculate the greatest common factor of 203 and 2807. 7 What is the greatest common factor of 174985 and 1580? 395 What is the greatest common divisor of 4114 and 60379? 121 What is the highest common factor of 603140 and 159? 53 Calculate the greatest common factor of 31700 and 30. 10 What is the greatest common divisor of 1022044 and 4? 4 Calculate the highest common factor of 92 and 467708. 4 Calculate the greatest common factor of 15240 and 10287. 381 What is the greatest common factor of 204 and 38454? 102 What is the highest common divisor of 294 and 190659? 147 What is the greatest common divisor of 17999 and 151016? 439 What is the highest common factor of 80869 and 103649? 1139 Calculate the highest common divisor of 12376 and 1071. 119 Calculate the greatest common divisor of 368 and 309764. 92 What is the highest common divisor of 878 and 1456163? 439 What is the highest common factor of 798 and 6042? 114 What is the highest common factor of 57656 and 224? 8 What is the highest common divisor of 2520 and 5985? 315 Calculate the greatest common divisor of 119600 and 500. 100 Calculate the greatest common factor of 10 and 5862. 2 Calculate the highest common divisor of 168 and 2031. 3 What is the greatest common divisor of 134 and 321734? 134 Calculate the highest common factor of 1329731 and 156. 13 Calculate the highest common factor of 9200 and 1800. 200 What is the greatest common divisor of 76 and 29280? 4 Calculate the greatest common divisor of 399 and 4503. 57 Calculate the highest common factor of 674272 and 608. 608 Calculate the greatest common divisor of 15 and 46335. 15 What is the highest common divisor of 291920 and 86920? 1640 Calculate the highest common factor of 7879 and 2. 1 Calculate the highest common divisor of 29 and 1752905. 29 What is the highest common factor of 189937 and 3751? 341 Calculate the greatest common divisor of 86 and 149167. 43 What is the highest common divisor of 272251 and 665? 133 What is the highest common divisor of 59 and 3127? 59 Calculate the greatest common factor of 510 and 2690. 10 What is the greatest common factor of 9 and 179919? 9 What is the greatest common divisor of 3 and 2111? 1 Calculate the highest common factor of 142584 and 936. 312 Calculate the highest common factor of 960133 and 213. 71 What is the highest common divisor of 3455491 and 13? 13 Calculate the greatest common divisor of 102 and 5423034. 102 What is the greatest common divisor of 43368 and 7800? 312 What is the greatest common factor of 59 and 179537? 59 What is the greatest common factor of 4977 and 2142? 63 What is the greatest common factor of 191233 and 4821? 1607 Calculate the greatest common divisor of 1473 and 440918. 491 What is the greatest common divisor of 70 and 9205? 35 Calculate the highest common factor of 247 and 5694091. 247 Calculate the greatest common divisor of 62196 and 18176. 284 What is the highest common factor of 13 and 25336909? 13 Calculate the highest common divisor of 5549 and 8153. 31 Calculate the greatest common factor of 4650 and 2238. 6 Calculate the highest common divisor of 2 and 1774. 2 What is the highest common factor of 51894 and 351? 27 Calculate the greatest common factor of 5609252 and 1496. 748 Calculate the highest common factor of 20 and 36494. 2 Calculate the greatest common factor of 56 and 952. 56 What is the highest common factor of 1014 and 375687? 507 Calculate the greatest common factor of 100 and 302940. 20 What is the highest common factor of 12 and 202155? 3 Calculate the greatest common divisor of 2502 and 1386. 18 What is the highest common divisor of 17721 and 165? 33 Calculate the highest common divisor of 6 and 6019110. 6 What is the greatest common divisor of 58280 and 1175? 235 Calculate the highest common divisor of 619844 and 249. 83 Calculate the highest common divisor of 89262 and 2755. 551 Calculate the greatest common factor of 1443275 and 25. 25 Calculate the greatest common divisor of 1980 and 2645610. 330 What is the greatest common factor of 2468 and 215333? 617 Calculate the greatest common factor of 1596 and 20622. 42 What is the greatest common factor of 55 and 150755? 55 Calculate the greatest common factor of 7936 and 6882. 62 What is the greatest common divisor of 24320 and 280? 40 What is the greatest common divisor of 23037 and 2667? 21 What is the highest common factor of 8092 and 1836? 68 What is the greatest common factor of 28 and 140966? 14 What is the highest common divisor of 110 and 916322? 22 What is the highest common factor of 28448 and 448? 224 Calculate the greatest common factor of 383 and 340487. 383 What is the highest common factor of 357 and 217770? 357 What is the highest common factor of 2149161 and 3045? 609 What is the greatest common divisor of 1303472 and 246? 82 What is the highest common divisor of 92 and 434838? 46 What is the highest common divisor of 686 and 182? 14 Calculate the highest common factor of 21879 and 76687. 221 What is the highest common divisor of 1196 and 243776? 52 Calculate the highest common divisor of 1818118 and 734. 734 What is the highest common divisor of 3232 and 1120? 32 What is the greatest common factor of 206 and 897439? 103 What is the greatest common divisor of 34936 and 11264? 88 What is the greatest common divisor of 81326 and 518? 518 What is the highest common factor of 15488 and 15246? 242 What is the greatest common factor of 496 and 54529? 31 Calculate the greatest common divi
{ "pile_set_name": "DM Mathematics" }
? True Is 48 a factor of 270397? False Does 108 divide 172051? False Is 1346978 a multiple of 229? True Is 594602 a multiple of 92? False Is 196370 a multiple of 147? False Is 18 a factor of 8147788? False Does 427 divide 545789? False Is 271 a factor of 94908? False Is 818034 a multiple of 42? True Is 153164 a multiple of 59? True Is 105105 a multiple of 11? True Does 54 divide 3425478? False Is 662245 a multiple of 75? False Is 67 a factor of 52461? True Does 9 divide 204787? False Is 10811988 a multiple of 423? False Does 16 divide 261456? True Is 4 a factor of 136588? True Is 14 a factor of 597958? False Does 62 divide 4814? False Is 29 a factor of 336110? True Is 9865210 a multiple of 694? True Does 964 divide 445107? False Does 23 divide 25691? True Is 1090352 a multiple of 201? False Does 1187 divide 984117? False Does 12 divide 77624? False Is 145 a factor of 304490? False Does 106 divide 3479874? True Is 36 a factor of 436938? False Does 6 divide 1757635? False Is 26 a factor of 125450? True Is 613223 a multiple of 107? False Is 91773 a multiple of 33? True Does 60 divide 536100? True Does 15 divide 85890? True Does 23 divide 186172? False Is 222 a factor of 145854? True Is 6534019 a multiple of 9? False Is 30 a factor of 79560? True Is 13034290 a multiple of 12? False Does 70 divide 2320850? True Is 385236 a multiple of 82? True Is 23591987 a multiple of 353? False Does 109 divide 875161? True Is 2851036 a multiple of 68? True Is 176 a factor of 381610? False Is 117725 a multiple of 25? True Does 84 divide 13225968? True Is 19 a factor of 12541? False Does 11 divide 137874? True Is 1019 a factor of 6954675? True Is 11000882 a multiple of 71? True Is 726584 a multiple of 400? False Is 15 a factor of 3595830? True Is 4 a factor of 698120? True Is 759330 a multiple of 330? True Is 694302 a multiple of 542? True Does 34 divide 1038224? True Is 4 a factor of 6161288? True Is 557 a factor of 303326? False Does 50 divide 110950? True Is 98 a factor of 6476624? True Does 20 divide 87793? False Is 2242465 a multiple of 53? False Is 30063 a multiple of 33? True Does 8 divide 135447? False Is 52 a factor of 77480? True Is 601137 a multiple of 375? False Is 127 a factor of 12065? True Is 24 a factor of 669711? False Does 239 divide 371406? True Does 50 divide 6939400? True Is 2209425 a multiple of 30? False Is 279 a factor of 152055? True Is 866185 a multiple of 178? False Is 665855 a multiple of 4? False Does 119 divide 74494? True Does 246 divide 130368? False Does 71 divide 1928264? False Is 1445862 a multiple of 4? False Is 1663 a factor of 3480659? True Is 4742952 a multiple of 12? True Does 115 divide 35190? True Is 149377 a multiple of 68? False Is 405 a factor of 1769040? True Is 6914512 a multiple of 187? True Is 29445 a multiple of 39? True Is 232 a factor of 42224? True Is 164 a factor of 724264? False Is 57 a factor of 284430? True Does 20 divide 792940? True Is 212730 a multiple of 70? True Does 260 divide 105300? True Does 14 divide 6948368? True Is 9904479 a multiple of 66? False Is 927 a factor of 8458121? False Does 9 divide 170451? True Is 997836 a multiple of 588? True Is 130 a factor of 790530? True Is 2366360 a multiple of 219? False Does 5 divide 657025? True Does 39 divide 120354? True Is 3502320 a multiple of 80? True Is 28 a factor of 107352? True Is 2217 a multiple of 132? False Is 649059 a multiple of 30? False Does 83 divide 2813588? False Does 3 divide 5677? False Is 23 a factor of 108675? True Is 214053 a multiple of 117? False Is 2 a factor of 111755? False Is 324 a multiple of 146? False Is 105 a factor of 2876072? False Is 1228924 a multiple of 79? True Does 7 divide 2690301? False Does 259 divide 228689? False Is 12963099 a multiple of 1049? False Is 770 a factor of 619080? True Is 25 a factor of 1750375? True Is 10836493 a multiple of 2098? False Is 712368 a multiple of 51? True Is 25865348 a multiple of 978? False Is 16 a factor of 2254528? True Does 7 divide 957559? False Does 15 divide 483964? False Is 1045561 a multiple of 11? True Does 65 divide 76440? True Is 115429 a multiple of 13? False Is 655210 a multiple of 56? False Is 6191492 a multiple of 33? False Is 21 a factor of 1274155? False Is 93888 a multiple of 83? False Does 29 divide 19919? False Is 203009 a multiple of 15? False Is 10 a factor of 1620958? False Is 21 a factor of 701059? False Does 145 divide 12749125? True Is 20 a factor of 381689? False Is 352 a factor of 7330752? True Is 4344 a multiple of 26? False Is 70650 a multiple of 18? True Is 3 a factor of 63510? True Is 2579616 a multiple of 32? True Is 203 a factor of 106778? True Is 647 a factor of 26557409? True Is 2645328 a multiple of 56? True Is 162951 a multiple of 10? False Does 1420 divide 3791400? True Is 4564320 a multiple of 514? True Is 1978417 a multiple of 959? True Is 175 a factor of 308700? True Is 410350 a multiple of 179? False Does 14 divide 230809? False Does 63 divide 15115968? True Is 135830 a multiple of 465? False Is 76 a factor of 4626120? True Is 214 a factor of 1303688? True Does 526 divide 1676395? False Does 4 divide 857098? False Is 7514 a multiple of 4? False Is 14403180 a multiple of 1529? True Is 107874 a multiple of 117? True Is 518 a factor of 21929? False Is 14273973 a multiple of 19? False Is 131430 a multiple of 224? False Does 19 divide 947473? True Does 37 divide 1421284? False Is 218029 a multiple of 13? False Is 638 a factor of 2123902? True Is 240 a factor of 794640? True Is 42554281 a multiple of 3553? True Does 69 divide 9246? True Does 16 divide 10451696? True Is 9993002 a multiple of 16? False Is 6 a factor of 136290? True Is 60599 a multiple of 77? True Is 17329094 a multiple of 387? False Is 114 a factor of 192432? True Is 348155 a multiple of 389? True Does 9 divide 13925? False Does 380 divide 2453660? True Is 3773750 a multiple of 131? False Is 949 a factor of 2021370? True Does 55 divide 266038? False Is 337238 a multiple of 22? True Does 9 divide 68772? False Does 14 divide 434714? True Is 5 a factor of 5948? False Does 9 divide 7368750? True Is 8625071 a multiple of 91? True Is 202 a factor of 1486769? False Is 90 a factor of 4099219? False Is 201 a factor of 110664? False Is 5 a factor of 2398275? True Is 120 a factor of 1749819? False Is 12 a factor of 607187? False Does 70 divide 17080? True Is 15 a factor of 113049? False Does 439 divide 206369? False Is 80100 a multiple of 150? True Does 52 divide 34802768? True Is 22 a factor of 260458? True Is 17 a factor of 33436212? True Is 248327 a multiple of 25? False Does 5 divide 479292? False Is 29 a factor of 4689455? False Does 6 divide 6924820? False Does 21 divide 55658? False Is 12 a factor of 59060? False Is 63745 a multiple of 39? False Is 39317 a multiple of 17? False Is 1719356 a multiple of 79? True Is 28 a factor of 283640? True Is 99426 a multiple of 21? False Is 163 a factor of 1863090? True Does 177 divide 92254? False Is 13 a factor of 12299676? False Does 600 divide 82800? True Is 16 a factor of 20339367? False Is 3630580 a multiple of 60? False Is 474 a factor of 315210? True Is 12760 a multiple of 232? True Is 3486550 a multiple of 9? False Is 7824140 a multiple of 233? True Is 2231034 a multiple of 39? True Does 11 divide 16719275? False Is 56028 a multiple of 13? False Is 33 a factor of 137766? False Is 2121314 a multiple of 13? True Is 37 a factor of 243778? False Does 14 divide 21238? True Does 1659 divide 5260689? True Is 18 a factor of 397962? True Does 9 divide 47509? False Is 2101785 a multiple of 25? False Is 113 a factor of 6804697? False Does 27 divide 361916? False Does 13 divide 40612? True Does 118 divide 230949? False Does 8 divide 23127? False Is 367217 a multiple of 18? False Is 58 a factor of 2784? True Is 24 a factor of 21341? False Is 281436 a multiple of 94? True Does 11 divide 444058? False Is 3866850 a multiple of 116? False Is 6170 a multiple of 2? True Is 1747090 a multiple of 86? True Does 10 divide 19253? False Is 23 a factor of 176410? True Is 333 a factor of 4797998? False Is 332636 a multiple of 39? False Is 359499 a multiple of 17? True Is 394 a factor of 979637? False Is 28080 a multiple of 60? True Is 11 a factor of 87670? True Does
{ "pile_set_name": "DM Mathematics" }
2/(x/2). Suppose -5*r + 4*h + 43 = -187, -h + q = 0. Is 35 a factor of r? False Let r be ((-32)/(-20))/(2/5). Suppose -4*a = 3*m + 33, 0 = 3*a - r*a - 3*m - 6. Is 2/(-1)*a/1 a multiple of 16? False Suppose 4*b + 3*k = 8019, -392*b + 3*k - 4011 = -394*b. Is 12 a factor of b? True Suppose -5*g = -4*z + 117, g - 6*g - 3*z = 131. Suppose 22*u - 2*m + 10 = 20*u, u = -3*m + 3. Let f = u - g. Is f a multiple of 22? True Let v = 0 - 6. Suppose -426 = 5*s - 2*w, 2*w + 171 = -2*s + 3*w. Let n = v - s. Is n a multiple of 26? True Let z be 4/(-12) - (-22)/(-6). Let j(n) = 4*n**2 + 5*n + 1. Let m be j(z). Suppose -95 = -5*a + m. Is 26 a factor of a? False Suppose -2*j + 3*t - t = 2, -2*t - 4 = -5*j. Let d(w) = 0*w**3 + 6*w**2 + 0*w**3 + 6*w - 22*w**j + w**3. Does 17 divide d(16)? False Let b(i) = i**2 - 4*i + 3. Let k be b(3). Suppose -648 = -w + 2*w + 3*c, k = -2*w + 4*c - 1316. Is (-4)/10 - w/10 a multiple of 23? False Suppose 4*b - 3*b = 5*g - 2042, b - 814 = -2*g. Is 34 a factor of g? True Let x(k) = -100*k**3 + 10*k**2 + 9*k - 1. Does 10 divide x(-1)? True Let j(h) = 9*h + 28. Is j(4) a multiple of 64? True Let z = -3510 + 5478. Is 93 a factor of z? False Let t(k) = 4*k**2 + 5*k - 153. Is 18 a factor of t(-17)? True Let d be ((-6)/(-4))/(5/60). Let b = 21 - d. Does 25 divide 18/7*7*b? False Let w(p) = -218*p + 116. Does 52 divide w(-4)? True Let c(g) = -6*g + 24. Let n be c(8). Is 2/2 - n - 3 - 1 a multiple of 5? False Let w(t) be the third derivative of -13*t**4/24 + 19*t**3/6 - 6*t**2. Let k be w(-15). Suppose -218 - k = -4*a. Is a a multiple of 18? True Let c be 10*(-4)/8*176/(-10). Let k = -71 + c. Is k even? False Suppose -9*i + 140 = i. Suppose 0 = 5*j - 2*x - 3*x - 185, j = -4*x + 22. Let n = j - i. Is n a multiple of 5? True Let c = 1189 - -603. Does 14 divide c? True Let z = 90 + 211. Suppose y + 4*y = -4*b - 287, 3*b - z = 5*y. Let i = 105 + y. Is i a multiple of 24? False Let m = 12 + -7. Suppose 41 + 47 = 2*r + 4*i, -3*r + m*i = -77. Is r a multiple of 11? False Suppose 6*q - 10*q + 2508 = 0. Suppose 4*o = q + 317. Is 48 a factor of o? False Let w = 5 + -11. Let a(j) = j**2 + j. Let y be a(-6). Let h = w + y. Does 24 divide h? True Is (-3)/(-6) + 22673/158 a multiple of 18? True Is (-1 - -4)/(1*33/1804) a multiple of 4? True Let i(l) = -10*l - 2. Let j(x) = 10*x + 1. Let c(k) = 4*i(k) + 5*j(k). Let r = 160 - 157. Is 7 a factor of c(r)? False Let v(r) = 4*r**3 + 3*r**2 + 17. Is 5 a factor of v(5)? False Suppose 3*c + 25 = 34. Suppose -3*b = b + 3*f - 665, 4*f = -c*b + 490. Is 22 a factor of b? False Suppose 0 = 179*u - 182*u + 414. Is u even? True Suppose -73*c - 756 = -79*c. Is 7 a factor of c? True Let w = -34 + 46. Is w/(-27)*-123 + (-1)/(-3) a multiple of 11? True Suppose -4*w - 4*t - 420 = w, -2*t = 3*w + 254. Let q = -26 - w. Is 11 a factor of q? False Suppose 12*h = 16*h - 3740. Is h a multiple of 10? False Let t = -343 - -525. Is t a multiple of 14? True Suppose -z + 0 + 3 = 0. Does 11 divide ((-51)/z + -1)*(-5)/2? False Let z be (-1)/10 + 38538/180. Let s = z + -114. Does 10 divide s? True Suppose -111*n + 3*x - 1809 = -112*n, -n + 4*x + 1788 = 0. Does 83 divide n? False Let f be 2*(-3)/(-24) - (-13)/(-4). Does 10 divide 5 - f - -1*2? True Suppose 245 = 2*h + 77. Suppose -2 = 2*y - 3*p + 54, -p = 4*y + h. Is ((-10)/(-10))/((-2)/y) a multiple of 11? True Does 14 divide 4/((-12)/3) - (-1054 + 3)? True Suppose 0 = 55*g - 61*g + 1272. Is g a multiple of 3? False Let u = 27 + 7. Let c = u + -9. Suppose 47 + c = 2*f. Is 23 a factor of f? False Let h = 93 - 72. Let s be 2/(-2 - -1) + 4. Suppose f + h = s*f. Is 15 a factor of f? False Let c(d) = -7*d**3 + 7*d**2 - 4*d + 8. Let v(k) = k**3. Let x(o) = -c(o) - 6*v(o). Is 20 a factor of x(7)? True Let r = 16 + -12. Suppose -c - 3*c + 49 = 3*u, r*c - 31 = 3*u. Let f = c - -26. Is f a multiple of 12? True Suppose -5*c + 0*c - 15 = 0. Let k = c - -28. Let q = k + 7. Does 23 divide q? False Let a(v) = -v**2 + 6*v + 22. Let r be a(10). Is 196 - (r/7 + (-12)/(-21)) a multiple of 22? True Let q(k) = k. Let b be q(4). Suppose -3*h - 2*j = -4*h + 231, -b*h + 3*j = -949. Is h a multiple of 28? False Suppose 5*x - 4*b - 8 = 0, -4*x = -3*b + 7*b - 28. Suppose 12 = x*z - 60. Is 9 a factor of z? True Let s be (-2)/5 + 874/10. Suppose -60 = -7*j + s. Does 21 divide j? True Suppose 2 = 2*j - 10. Let y = 26 - j. Is y a multiple of 13? False Is 972 + 4 - -6 - -10 a multiple of 32? True Let g(t) = t**3 - 5*t**2 + 5*t - 3. Let q be g(4). Let m be q/(-2*1/(-6)). Does 14 divide (-1)/(129/(-42) + m)? True Let z(a) = 4*a**2 + 4*a - 3. Let s be z(-7). Let t = s - 19. Is 15 a factor of t? False Let h be 0 - -4 - (-2)/1. Suppose -h = 4*k - 2*k. Does 11 divide (423/(-3))/(-3) + k? True Let r be -2 - (2 + -2 + (-4 - 44)). Let l = r - 6. Is l a multiple of 5? True Suppose 31*k + 1200 = 36*k. Is k a multiple of 12? True Suppose -t + m = -5*t + 5961, 0 = 4*t + 3*m - 5963. Does 10 divide t? True Let f(r) = -132*r + 96. Is f(-2) a multiple of 53? False Suppose -5*c + 3161 = 161. Is c a multiple of 57? False Let k(p) be the second derivative of p**5/20 + p**4/12 + p**3/6 + 30*p**2 - 4*p. Let o be k(0). Suppose o = 3*u + 2*u. Is u a multiple of 9? False Let m = -138 + 143. Let k = m - -9. Is 2 a factor of k? True Let q = 125 + 115. Is 30 a factor of q? True Suppose -91*o = -10*o - 2187. Is o a multiple of 17? False Let l be (6/15)/(7/1890). Let w be (-2)/(-4) + 238/(-4). Let o = w + l. Is o a multiple of 15? False Let b = 72 - 255. Is ((-2)/(-3))/((-2)/b) a multiple of 17? False Let d(k) be the second derivative of k**5/24 - 5*k**4/12 - k**3 + 8*k. Let m(c) be the second derivative of d(c). Is 5 a factor of m(8)? True Suppose 0 = -2*o - 3*o - 5*f + 1660, -2*o + 652 = -4*f. Is o a multiple of 33? True Suppose -7 = h - 5*k, 4*k = -5*h + 9*k + 25. Does 6 divide (632/(-12))/(-2) + h/(-6)? False Let z = -1551 - -2225. Let u = 78 - 81. Does 17 divide z/10 + u/(-5)? True Let y(s) be the first derivative of 49*s**2/2 + 7*s + 2. Does 7 divide y(1)? True Let h(o) = o**2 - 21*o + 27. Suppose 14 - 110 = -4*t. Is 25 a factor of h(t)? False Let u be -81 + -2*(-1)/(-2). Let i(a) = 5*a + 12. Let q be i(-11). Let r = q - u. Is r a multiple of 14? False Let n(h) = 2*h**2 + 2*h - 1. Suppose -8*y + 4*y = -24. Let q = -8 + y. Is n(q) a multiple of 2? False Let r = 60 - 107. Let s = 167 + r. Is 12 a factor of s? True Does 19 divide 1/(-2) + (-2548)/(-8)? False Suppose 0*l = -5*l. Suppose -5*q = l, 2*w + 0*q - q - 58 = 0. Is 6 a factor of w/3 - 2/(-6)? False Suppose -n = -6*n. Suppose n = 3*o - 7*o + 108. Suppose -38 - o = -5*r. Does 3 divide r? False Suppose -19*o = -54*o + 22750. Does 65 divide o? True Suppose -l - 3 + 4 = 0. Let z(c) be the second derivative of 4*c**5/5 - c**3/2 + c**2 + 53*c. Is 15 a factor of z(l)? True Let t = 68 + -65. Suppose j - 104 = 4*l, 0 = t*j + 5*l - l - 376. Does 9 divide j? False Let q = -27 - 18. Let o = 29 - q. Suppose 3*p - p = o. Does 15 divide p? False Let u(l) = -l + 360. Does 18 divide u(0)? True Let c = 1276 + -1133. Is c a multiple of 14? False Suppose -105*b + 47*b = -11020. Is b even? True Let z be 387/6*14/21. Let j = 13 + z. Is j a multiple of 8? True Let b be ((-22)/(-33))/((-2)/33). Does 6 divide b/2*-6 + 0/3? False Let b(c) = c + 204. Is 3 a factor of b(48)? True Let v be 89 + (-7)/(105/(-6))*5. Let r = 134 - v. Is r a multiple of 29? False Suppose -5*v - 120 = 3*v. Suppose 5*d = -5*p + 4*d + 128, 4*d = -p + 37. Let k = v + p. Is k a multiple of 2? True Let z be (-1016)/12 + 1/(-3). Let t = 55 + z. Let s = 21 - t. Is s a multiple of 10? False Let p = -227 - -375. Is p a multiple of 17? False Let b = -15 + 14. Let t(u) = -15*u**2 - u - 2. Let p be t(b). Let j = 27 + p. Is j a multiple of 8? False Let v(i) = -i**3 + 3*i**2 - 4. Let h be v(4). Let g = 1 - h. Is 5 a factor of g? False Let a(b) = 62*b**2 - 2*b. Does 8 divide a(-1)? True Let f(k) = 6*k**2 - 2*k - 4. Let d be f(-3). Suppose 4*s + w - d = -w, -3*s + 3*w = -42. Suppose -4*v + 126 = -s. Is 10 a factor of v? False Let f be (1 - 0)/(3 + -2). Does 14 divide (f*-1)/((-9)/126)? True Let b(i) = 2*i**3 + 3*i - 7. Let j be 8/3 - (-13)/39. Is b(j) a multiple of 28? True Let x = 119 + 247. Is 65 a factor of x? False Let j = -1257 + 1800. Does 48 divi
{ "pile_set_name": "DM Mathematics" }
+ 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" }
m of 103, 753, 2015, 3889, 6375, 9473, 13183? 306*o**2 - 268*o + 65 What is the k'th term of -27692, -110778, -249254, -443120? -27695*k**2 - k + 4 What is the o'th term of 105016, 210119, 315228, 420349, 525488, 630651, 735844? o**3 - 3*o**2 + 105105*o - 87 What is the w'th term of 2256, 4493, 6668, 8751, 10712, 12521, 14148, 15563? -5*w**3 - w**2 + 2275*w - 13 What is the x'th term of 9703, 19441, 29169, 38887, 48595, 58293, 67981? -5*x**2 + 9753*x - 45 What is the w'th term of 7825, 15825, 23823, 31819? -w**2 + 8003*w - 177 What is the x'th term of 4228952, 4228957, 4228962? 5*x + 4228947 What is the v'th term of -1039258, -1039232, -1039182, -1039102, -1038986, -1038828, -1038622? v**3 + 6*v**2 + v - 1039266 What is the m'th term of -56059704, -56059707, -56059710, -56059713, -56059716, -56059719? -3*m - 56059701 What is the x'th term of -18885, -20883, -24219, -28893? -669*x**2 + 9*x - 18225 What is the c'th term of 5610952, 11221894, 16832836? 5610942*c + 10 What is the k'th term of 62344, 27531, -7284, -42101, -76920, -111741, -146564? -k**2 - 34810*k + 97155 What is the o'th term of 509758, 509782, 509806, 509830, 509854, 509878? 24*o + 509734 What is the j'th term of 535416, 2141612, 4818620, 8566452, 13385120, 19274636, 26235012? 2*j**3 + 535394*j**2 + 20 What is the p'th term of -7831873, -7831879, -7831887, -7831897, -7831909? -p**2 - 3*p - 7831869 What is the f'th term of 2694817, 2695016, 2695347, 2695810? 66*f**2 + f + 2694750 What is the x'th term of 404054559, 404054557, 404054555, 404054553, 404054551, 404054549? -2*x + 404054561 What is the h'th term of -111621, -111891, -112185, -112515, -112893, -113331, -113841, -114435? -2*h**3 - 256*h - 111363 What is the u'th term of -201540, -403106, -604700, -806322, -1007972? -14*u**2 - 201524*u - 2 What is the w'th term of 8909, 17881, 26927, 36047, 45241? 37*w**2 + 8861*w + 11 What is the x'th term of 1294651, 2589426, 3884197, 5178964, 6473727? -2*x**2 + 1294781*x - 128 What is the h'th term of 577, -218, -1017, -1820, -2627? -2*h**2 - 789*h + 1368 What is the r'th term of -129545, -129666, -129787, -129908? -121*r - 129424 What is the g'th term of -840386, -1680979, -2521572, -3362165, -4202758, -5043351? -840593*g + 207 What is the i'th term of 6427, 4324, 2225, 130, -1961, -4048? 2*i**2 - 2109*i + 8534 What is the o'th term of -389, -104, 843, 2452, 4723? 331*o**2 - 708*o - 12 What is the s'th term of -627418, -626915, -626076, -624901, -623390? 168*s**2 - s - 627585 What is the z'th term of -1558096, -1558101, -1558108, -1558117? -z**2 - 2*z - 1558093 What is the y'th term of -36320, -75174, -116562, -160484? -1267*y**2 - 35053*y What is the d'th term of 257870453, 257870452, 257870451? -d + 257870454 What is the s'th term of -1427, -1265, -997, -623, -143, 443? 53*s**2 + 3*s - 1483 What is the m'th term of -5005, -4624, -4243, -3862, -3481, -3100? 381*m - 5386 What is the z'th term of -78075, -78055, -78023, -77973, -77899? z**3 + 13*z - 78089 What is the l'th term of -123733, -249037, -374341, -499645, -624949, -750253? -125304*l + 1571 What is the g'th term of 388222, 776911, 1165600, 1554289? 388689*g - 467 What is the i'th term of -21467, -33059, -44651, -56243, -67835? -11592*i - 9875 What is the u'th term of 10567, 20851, 31135? 10284*u + 283 What is the n'th term of 5738, 5897, 6304, 7085, 8366, 10273? 21*n**3 - 2*n**2 + 18*n + 5701 What is the i'th term of -231343, -925411, -2082191, -3701683, -5783887? -231356*i**2 + 13 What is the n'th term of 239438, 239389, 239340, 239291? -49*n + 239487 What is the a'th term of 58450, 58401, 58336, 58255, 58158, 58045, 57916? -8*a**2 - 25*a + 58483 What is the s'th term of -855984, -3423957, -7703918, -13695867, -21399804? -855994*s**2 + 9*s + 1 What is the k'th term of 197622429, 197622428, 197622427, 197622426? -k + 197622430 What is the s'th term of -703838, -2815350, -6334538, -11261402? -703838*s**2 + 2*s - 2 What is the l'th term of 205263, 206438, 207613? 1175*l + 204088 What is the z'th term of -22780929, -22780932, -22780937, -22780944? -z**2 - 22780928 What is the k'th term of 250461, 500988, 751519, 1002054, 1252593, 1503136, 1753683? 2*k**2 + 250521*k - 62 What is the x'th term of -750, -351, 2326, 8421, 19074? 190*x**3 - x**2 - 928*x - 11 What is the b'th term of -3203, -4743, -4637, -2885, 513, 5557? 823*b**2 - 4009*b - 17 What is the m'th term of -262326, -262274, -262220, -262164, -262106? m**2 + 49*m - 262376 What is the d'th term of 35239, 68086, 100945, 133822, 166723, 199654, 232621? d**3 + 32840*d + 2398 What is the g'th term of -63616, -63768, -64018, -64366, -64812, -65356, -65998? -49*g**2 - 5*g - 63562 What is the m'th term of -96176, -190597, -285018, -379439, -473860, -568281? -94421*m - 1755 What is the c'th term of -3808, -7625, -11480, -15391, -19376, -23453, -27640, -31955? -3*c**3 - c**2 - 3793*c - 11 What is the k'th term of -648163457, -1296326913, -1944490369? -648163456*k - 1 What is the y'th term of 154936549, 309873103, 464809659, 619746217, 774682777? y**2 + 154936551*y - 3 What is the a'th term of -1163, -2367, -3569, -4763, -5943, -7103, -8237? a**3 - 5*a**2 - 1196*a + 37 What is the s'th term of -23300, -23847, -24766, -26057, -27720? -186*s**2 + 11*s - 23125 What is the t'th term of -383058, -766117, -1149174, -1532229, -1915282? t**2 - 383062*t + 3 What is the r'th term of -3414799, -3414797, -3414795, -3414793? 2*r - 3414801 What is the m'th term of -145266, -288498, -431730? -143232*m - 2034 What is the b'th term of -481, -3448, -11469, -27058, -52729, -90996, -144373, -215374? -419*b**3 - 13*b**2 + 5*b - 54 What is the o'th term of -1539, -4405, -8591, -14091, -20899, -29009? o**3 - 666*o**2 - 875*o + 1 What is the y'th term of -335761, -334925, -334089, -333253, -332417? 836*y - 336597 What is the r'th term of -9288701, -18577401, -27866101, -37154801? -9288700*r - 1 What is the n'th term of 14898, 59581, 134052, 238311? 14894*n**2 + n + 3 What is the f'th term of -30049, -30274, -30489, -30688, -30865, -31014? f**3 - f**2 - 229*f - 29820 What is the c'th term of -4498, -18004, -40560, -72202, -112966, -162888, -222004, -290350? -6*c**3 - 4489*c**2 + 3*c - 6 What is the m'th term of 3240, 14321, 33228, 59967, 94544? m**3 + 3907*m**2 - 647*m - 21 What is the d'th term of -6954, -28203, -63584, -113097, -176742? -7066*d**2 - 51*d + 163 What is the s'th term of 229181, 459711, 690241, 920771, 1151301? 230530*s - 1349 What is the k'th term of 2720, 4207, 5696, 7187, 8680, 10175? k**2 + 1484*k + 1235 What is the f'th term of 1489, 695, -99? -794*f + 2283 What is the r'th term of -63471196, -63471214, -63471234, -63471256, -63471280, -63471306? -r**2 - 15*r - 63471180 What is the u'th term of -4163, -3889, -3615, -3341, -3067, -2793? 274*u - 4437 What is the j'th term of -111, 820, 3393, 8430, 16753, 29184, 46545? 137*j**3 - j**2 - 25*j - 222 What is the q'th term of 315085, 1260323, 2835721, 5041279, 7876997, 11342875? 315080*q**2 - 2*q + 7 What is the t'th term of 6835, 8379, 9921, 11461, 12999, 14535, 16069? -t**2 + 1547*t + 5289 What is the s'th term of 9861, 12446, 16755, 22788, 30545, 40026? 862*s**2 - s + 9000 What is the g'th term of 1420, 894, -508, -3224, -7692, -14350? -73*g**3 - 15*g + 1508 What is the u'th term of -98486656, -98486652, -98486648? 4*u - 98486660 What is the l'th term of -6435, -7266, -8093, -8916, -9735, -10550? 2*l**2 - 837*l - 5600 What is the i'th term of 5608, 11631, 17652, 23671? -i**2 + 6026*i - 417 What is the u'th term of 1245, 2275, 3111, 3753, 4201? -97*u**2 + 1321*u + 21 What is the k'th term of 6866, 27499, 61890, 110039? 6879*k**2 - 4*k - 9 What is the d'th term of 10008, 40017, 90032, 160053, 250080, 360113? 10003*d**2 + 5 What is the u'th term of 1753, 1714, 1531, 1132, 445, -602, -2081? -12*u**3 + 45*u + 1720 What is the t'th term of 1463, 1372, 1281? -91*t + 1554 What is the m'th term of 2196140, 4392284, 6588422, 8784548, 10980656? -m**3 + 3*m**2 + 2196142*m - 4 What is the t'th term of 16258, 65175, 146702, 260833, 407562? -t**3 + 16311*t**2 - 9*t - 43 What is the m'th term of -160111683, -160111681, -160111679, -160111677? 2*m - 160111685 What is the z'th term of 740550, 740541, 740532, 740523? -9*z + 740559 What is the r'th term of 2
{ "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" }
/(-6)*2*9/132 -2/11 (3/3)/(43/(-172)) -4 What is (-3)/1*-1*1? 3 Evaluate (-3)/((60/(-16))/5). 4 Calculate ((-14)/(-35))/(3/3*2). 1/5 Evaluate (-1)/(((-112)/21)/(-8)). -3/2 Evaluate ((-8)/(-40))/(-1*1). -1/5 Evaluate ((-6)/(-1))/(2/(-4)*-4). 3 Calculate (1*5/(-1))/(-1). 5 (385/10)/(-11)*24/(-14) 6 What is the value of (-238)/119*(-2)/(-12)? -1/3 1/((-5)/(-4))*(-2)/(-4) 2/5 What is 6/((315/(-6))/(-5))? 4/7 What is 12/14*(-28)/(-16)? 3/2 Calculate 3*2*(-1)/3. -2 (((-48)/54)/4)/((-8)/6) 1/6 Evaluate 2*(-5)/30*3. -1 Calculate ((-1)/((-2)/(-4)))/((-28)/56). 4 Calculate 4/(40/(-10))*0/1. 0 What is the value of (3*4/(-6))/11? -2/11 What is the value of ((150/(-8))/(-15))/((-1)/(-4))? 5 What is the value of 1*1*-3*1/3? -1 Evaluate (3/2)/((-228)/304). -2 Evaluate ((-1)/34)/(2/(-24)*3). 2/17 Evaluate (6/120*5)/((-40)/32). -1/5 (-15)/21*(-14)/(-35)*2 -4/7 Calculate (5/((-100)/15))/(-3*1). 1/4 What is (-3)/((-9)/30*(-285)/3)? -2/19 What is the value of ((-3)/(-7))/((-39)/(-182))? 2 ((-721)/206)/(7/(-12)) 6 What is the value of (10/135)/(6/18)? 2/9 15*((-70)/(-21))/(-10) -5 What is the value of 2*4*((-182)/13)/(-112)? 1 (1/(-3))/(7/(-14)) 2/3 Calculate (-7)/(63/(-3))*3/4. 1/4 What is 4*(-6)/(-312)*2? 2/13 What is 12/(-408)*-17*-2*8? -8 (-1)/(-4)*24*26/(-195) -4/5 What is 24/(-24)*1/1? -1 What is 1890/(-180)*12/(-14)? 9 What is the value of (-30)/300*(-2)/(-3)*-15? 1 What is the value of (-4)/27*(-75)/(-50)? -2/9 What is the value of (24/96)/(2/(-2))? -1/4 Evaluate (-1)/(-1)*(-24)/180. -2/15 Evaluate 4/(-126)*-6*-3. -4/7 What is the value of (10/50)/((-6)/(-5))? 1/6 What is 54/(-4)*(-6)/(-72)*8? -9 ((-2)/(-9))/(2/(-27)*-6) 1/2 What is 2*(-15)/10*14/(-6)? 7 Evaluate -1*(-10)/(-4)*(-54)/(-45). -3 224/28*(-1)/4 -2 What is 14/(-7)*(-15)/(-30)? -1 Evaluate (-6)/12*-8*6/204. 2/17 5/(-15)*-2*3/(-6) -1/3 9/((-882)/35)*(-8)/10 2/7 Evaluate (1/((-4)/(-12)))/((-1)/(-1)). 3 What is the value of ((-2)/(-10))/((-776)/485)? -1/8 Evaluate ((-1)/10*2)/(52/390). -3/2 What is (-9*(-8)/144)/((-5)/(-6))? 3/5 What is (-11)/(((-84)/(-14))/6)? -11 (1/(-39))/(((-1659)/(-126))/79) -2/13 What is the value of (-4)/6*3*(-1)/13? 2/13 (-216)/(-90)*(-15)/(-4) 9 What is ((-14)/(-5))/((-3)/(135/(-18)))? 7 Calculate 126/84*4/(-6)*-7. 7 Calculate (-35)/(-14)*18/(-15). -3 What is (2/10)/(((-72)/(-10))/9)? 1/4 Evaluate (24/(-40))/(((-9)/(-6))/1). -2/5 What is the value of (-45)/(-18)*((-72)/(-15))/3? 4 Evaluate ((-8)/16)/(6/84). -7 What is (-9)/((-27)/6)*(-21)/6? -7 20/30*(-6)/8*2 -1 (-30)/(-12)*(-52)/195 -2/3 What is -5*((-12)/(-3))/(-20)? 1 (((-12)/(-9))/((-2)/(-9)))/3 2 What is (-30)/(-5)*(-16)/48? -2 Evaluate ((99/11)/(-54))/(1/(-8)). 4/3 (-1)/(4/(40/5)) -2 Evaluate ((-65)/(-130))/(-1*(-10)/(-4)). -1/5 8*-1*5/8 -5 What is the value of (8/(-12))/((-238)/51)? 1/7 ((-132)/154)/(3/9*3) -6/7 Calculate (4/40)/(-4*(-6)/(-60)). -1/4 What is (-63)/(-105)*(-30)/(-2)? 9 Evaluate 4/5*6/(-12). -2/5 6/14*(-2)/24*-4 1/7 Evaluate ((-20)/18)/(9/((-81)/6)). 5/3 What is 6/(-4)*(-24)/18? 2 What is ((-84)/90)/(-14)*-3? -1/5 What is the value of (-1)/((-1)/(-24)*-3*-2)? -4 What is 0/(((-210)/(-10))/7)? 0 (-141)/(-470)*15/(-12) -3/8 ((-1)/(-36)*6)/(-1) -1/6 What is the value of (-16)/24*7/35? -2/15 What is ((-12)/(-8))/((-5)/(-50)*3)? 5 ((-4)/10)/(5/(-5)*2) 1/5 Calculate (152/(-57))/((-5)/((-60)/8)). -4 What is the value of ((-66)/693)/(6/7)? -1/9 Calculate -1*-5*15/(-25). -3 Calculate (182/(-26))/(7/(-2)). 2 ((-6)/(-30))/((-1)/5) -1 (-8)/2*5/(300/(-6)) 2/5 Evaluate ((-1)/((-18)/9)*-2)/(-1). 1 20/(-40)*(-8)/78*-3 -2/13 4/(-30)*45/9 -2/3 (-18)/(-12)*42/(-9) -7 Evaluate ((-8)/28)/(2*(-1)/8). 8/7 Evaluate -2*(-3)/(-4)*(-20)/(-15). -2 Evaluate (1*16/(-4))/((-9)/18). 8 ((-12)/(-72))/((-3)/9) -1/2 (-5)/70*-2*2 2/7 Calculate 1*(48/(-160))/(3/(-2)). 1/5 What is (((-3)/(-2))/(63/168))/10? 2/5 Evaluate ((-1)/(-2))/((-3)/12). -2 Calculate (4/(-12))/((3/36)/1). -4 Evaluate 4/(-8)*-5*(-6)/30. -1/2 (-6)/18*0/(-6) 0 ((6/(-3))/(2/(-4)))/2 2 Evaluate (-1)/2*8/(-2). 2 Evaluate 4/(-8)*-6*3/9. 1 Evaluate ((-27)/72)/(1*4/16). -3/2 -1*(-12)/(-3)*-1 4 Calculate ((4/(-2))/2)/((-33)/165). 5 Evaluate 10/((-240)/3)*2. -1/4 Calculate ((-72)/60)/((-2)/10). 6 Calculate 9/54*-7*-6. 7 What is 12/8*(-8)/30? -2/5 Calculate (-8)/(-12)*279/434. 3/7 ((-11)/(165/(-10)))/((-4)/24) -4 Calculate ((-24)/16)/(-3*4/(-24)). -3 1/(-6)*(-15)/20*10 5/4 What is the value of (10*10/200)/((-2)/3)? -3/4 Calculate 36/(-3)*(-5)/15. 4 What is 6/(-5)*(-200)/120? 2 What is (48/66)/((-20)/110)? -4 What is the value of (49/28)/(((-9)/12)/(-3))? 7 What is 0/(-3*(-24)/18)? 0 Calculate (-29)/(-29)*0/(1/1). 0 What is the value of 20/(-12)*(-2)/(15*2)? 1/9 What is the value of 5/((-70)/(-6))*1? 3/7 What is the value of 15/(-12)*2*-2? 5 Calculate ((-8)/(-48))/((-1)/((-18)/4)). 3/4 Calculate -2*7/14*(-5)/1. 5 (-1*4)/(70/(-15)*3) 2/7 What is the value of (-14)/(-24)*(-111)/(-518)? 1/8 Calculate (2/20*-2)/(9/(-27)). 3/5 What is the value of ((-10)/8)/1*324/(-81)? 5 What is the value of ((-2)/(-4))/((-7)/56)? -4 18/162*(-6)/(-1) 2/3 Evaluate 70/7*(-2)/(-24). 5/6 1/(-6)*120/(-110) 2/11 Calculate ((119/14)/(-17))/(1/2). -1 What is the value of ((576/(-84))/12)/((-4)/(-2))? -2/7 48/36*((-21)/(-2))/(-7) -2 What is -2*4/(-48)*3*6? 3 Evaluate (-6*1/2)/(-3). 1 Calculate (2/(-22))/(178/(-712)). 4/11 Calculate (-3)/((-4)/(8/2)). 3 4/(-1)*111/148 -3 What is (1*-1)/(((-25)/(-5))/(-5))? 1 Evaluate (-6)/(12/16*4/2). -4 Evaluate (-30)/(-2)*(-132)/330. -6 What is (0*(-3)/(-9))/(2*-1)? 0 Evaluate (-1375)/110*4/(-10). 5 What is 1/(-50)*-5*4/1? 2/5 What is the value of 55/(-11)*4/10? -2 Calculate (0/(28/7))/1. 0 Evaluate (3/3*-1)/(-2). 1/2 What is ((-18)/(-3)*-1)/(6/(-4))? 4 What is the value of (0/1)/(-4*5/(-20))? 0 What is the value of (-3)/2*20/45*-3? 2 What is 2/((48/20)/(-6))? -5 4*3/(-6)*6/4 -3 Calculate ((-2)/(-42)*3)/(-1). -1/7 (-2)/8*2*-10 5 What is the value of (((-2)/3)/(-1))/(2/12)? 4 Evaluate 32/(-48)*2/34*-3. 2/17 Calculate (-1)/(-2)*(-20)/5. -2 Calculate (1/3)/((-28)/(-24)). 2/7 Evaluate (-90)/60*(-8)/(-18). -2/3 Calculate ((-60)/(-8))/((-63)/84). -10 Calculate (((-4)/2)/(-6))/((-20)/(-24)). 2/5 ((-1)/5*-1)/((-117)/(-65)) 1/9 What is the value of ((-9)/((-135)/(-24)))/((-6)/15)? 4 What is the value of ((-25)/(-225))/(2/18*-3)? -1/3 What is 8/20*10/6? 2/3 Calculate 2/(-8)*12*1. -3 5/(-3)*(-5)/5 5/3 What is ((-390)/(-520))/(9/(-2))? -1/6 2/((-6)/3*7) -1/7 Calculate 3*4/4*(-1)/1. -3 (27/((-135)/2))/((-9)/(-5)) -2/9 What is the value of ((-16)/52)/4*(-6)/3? 2/13 What is the value of ((-192)/(-120))/(2/5)? 4 Evaluate (-7)/2*(-20)/(-35). -2 Evaluate 44/33*(-9)/(-15). 4/5 What is the value of 45/(-39)*12/(-30)? 6/13 Calculate 0/6*2/4. 0 Calculate ((-84)/98)/((-2)/(-21)*-3). 3 What is the value of (6/(-3*1))/((-300)/30)? 1/5 What is 2/4*((-100)/(-1))/(-10)? -5 Calculate (-4)/(-2)*6/12. 1 (-36)/2*(-20)/(400/10) 9 Calculate (6/(-108))/((-3)/12). 2/9 Calculate -21*(80/(-15))/16. 7 Evaluate 6*4/(-540)*3. -2/15 2*(10/(-44))/(-5) 1/11 ((-4)/10)/(1*(-4)/(-20)) -2 (24/(-21))/(3/(-21)) 8 Evaluate ((4/25)/(-2))/(222/370). -2/15 Calculate (-2)/8*(-3)/6*-2. -1/4 Calculate ((-1)/4)/(-6*14/112). 1/3 What is (-3*(-12)/(-162))/(-2)? 1/9 (17/((-34)/(-24)))/(-2) -6 What is the value of (-3)/((26/65)/(16/60))? -2 What is the value of ((-20)/(-25))/((-3)/15)? -4 What is the value of 12/240*16/(-6)? -2/15 Evaluate (9/12)/(4/32). 6 Calculate (1/1*-2)/(13/(-26)). 4 Calculate (-10)/(-8)*(-20)/45*-9. 5 Evaluate (0/(-1))/(26/26). 0 Evaluate ((-4)/(-5))/(-16*(-12)/(-480)). -2 Calculate 2*3*10/(-15). -4 Calculate (5/((-30)/27))/((-135)/180). 6 4/16*-3*(-3)/18 1/8 Calculate (12/14)/((-69)/(-322)). 4 Calculate 3/(12*(-10)/(-40)). 1 Calculate (2/(-5))/(7/7). -2/5 Evaluate ((-1)/(-12))/(38/(-114)). -1/4 What is 9*((-6)/(-75))/((-18)/(-15))? 3/5 -1*1*(-44)/(-44) -1 What is the value of 8/4*5/240*-4? -1/6 What is the value of ((-1)/9)/(1/6)? -2/3 What is 1/(12/16)*6/(-52)? -2/13 Evaluate 1*-1*(-26)/78. 1/3 Evaluate (-16)/(-10)*(-385)/(-308). 2 Evaluate (6/2)/(-6)*0/(-7). 0 Evaluate (8/42*3)/((-2)/(-2)). 4/7 Evaluate ((-3)/(-4)*-4)/((-9)/15). 5 Evaluate -5*-3*3/27*-3. -5 (1*2)/(((-90)/5)/(-6)) 2/3 What is 2/(63/(35/5))*-9? -2 Calculate ((-3)/(-5))/((2/2)/5). 3 What is the value of (18/(-2))/(189/(-42))? 2 4/14*-3*(-35)/(-
{ "pile_set_name": "DM Mathematics" }
7 divide v? False Let u be (-22)/(-187) - (-925)/85. Does 27 divide (u/(-33))/(3/9)*-262? False Let a = -4883 + 6676. Is 45 a factor of a? False Let b be (-2)/((-4)/12*3). Suppose r + r - b = 0. Is 3 a factor of 2/(r - (-5)/(-15))? True Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5/20*o*15? False Let i = -978 + 2038. Suppose a - 41 = -5*n + 1735, -3*n = 2*a - i. Is 53 a factor of n? False Suppose 13*w - 48 = 381. Suppose -4*n + 47 + 17 = -o, -n - 4*o + w = 0. Let b = n - -3. Is b a multiple of 4? True Let b = 1208 - -618. Does 16 divide b? False Let i(z) be the first derivative of z**4/4 + 10*z**3/3 - 4*z**2 - 10*z - 4. Let j = -222 - -212. Is 14 a factor of i(j)? True Suppose -3*r - 12 = d, 5*d + 10 = 352*r - 357*r. Suppose 0 = -5*c + 5*m + 396 + 234, -630 = -5*c + 2*m. Is 2 a factor of 20/d + -7*(-6)/c? False Let f be (-403 + 9)*-2*(-3)/(-6). Let n = f - 212. Is n a multiple of 14? True Let l = 17590 - 9791. Does 91 divide l? False Let y = -1398 - -4385. Is 29 a factor of y? True Suppose q + 2*u = 3091 + 1350, 4*u + 22219 = 5*q. Is q a multiple of 37? False Let v(g) = 2*g + 1. Let u be v(2). Suppose -j = 5*z - 10, u*z = z + 3*j + 27. Suppose -5*n + 350 = z*q, -2*q + 3*q = 4*n + 145. Is q a multiple of 19? False Let p(n) = -3*n**3 - 11*n**2 + 6. Let q be p(-3). Let y(c) = c**3 + 13*c**2 + 11*c - 11. Let x be y(q). Is 26 a factor of 8 - (x - (-12)/4) - -126? True Let i = 180 + -173. Suppose -2776 + 235 = -i*d. Is 11 a factor of d? True Let o(v) = 10*v**2 + 4*v - 2. Let i be -6*(-4)/36*-18. Let q = -14 - i. Is 6 a factor of o(q)? True Is (17 - 16)/((-3)/(-31413)) a multiple of 72? False Is 10 - (-58284)/45 - (-12)/15 a multiple of 12? False Let g = 261 - 258. Suppose 4*m = p - 9, p + g*p + 5*m - 99 = 0. Is p a multiple of 3? True Suppose -8*p + 9873 = -17455. Is 7 a factor of p? True Suppose -6*b = 3 + 3. Let t be -10*(3 + (b - -1 - 4)). Suppose -6*q = -t*q + 372. Is 31 a factor of q? True Let s(g) = 32*g + 15*g - 1 - 35*g + 4*g**2. Suppose -t + 4*z = -11 - 4, 0 = 4*t - z + 15. Is 13 a factor of s(t)? True Let s be ((-6)/4 - -1)*(-11 - -1). Suppose 2992 = s*g + 2*w, 16 + 0 = -4*w. Is g a multiple of 20? True Let w be 72/198 - (-51)/11. Suppose -5*j + 8*j - 1197 = -w*u, -1 = j. Is 60 a factor of u? True Let a be (-4)/(-6)*(29 + 1). Suppose 0 = -a*q + 19*q - 6. Is 35 a factor of ((-34)/q)/(2/72)? False Suppose 2*v + 43*x - 4482 = 42*x, 2259 = v + 5*x. Let l = -1327 + v. Is 16 a factor of l? True Suppose -4*x - 2*j - 28 = 0, -9*j + 5*j - 21 = x. Does 10 divide 6/42*2*x*-21? True Let z = 25 + -22. Suppose 0 = -3*y + z*g - 294, -y + 2*g + 110 = -2*y. Is (4 + 48/(-9))*y/4 a multiple of 5? False Let h be (1 - -2 - 4)*(-4 - 0). Let s(b) = 130*b - 44. Is 9 a factor of s(h)? False Let m(d) be the third derivative of d**4 - d**3/2 - 9*d**2 + 12*d. Suppose 3*u + u = 12. Is 23 a factor of m(u)? True Suppose 66785 + 35138 = 4*u - 5*i, -25480 = -u + 2*i. Is 28 a factor of u? False Suppose -73 + 107 = 2*s. Let m = 23 - s. Is 3 a factor of (-5)/((-10)/m) - -28? False Let a be 7 + (-7 - -7) + 1*-2. Suppose -a*r + 318 = -4*v, -5*r - 2*v + 72 = -4*r. Does 9 divide (19/2 - 8) + r/4? True Let o = 33 + -31. Suppose 3*t - 6*f + 123 = -o*f, -f = -2*t - 82. Let b = t - -53. Is b a multiple of 3? True Let s = -95 + 98. Suppose s*h - 335 = -5*j, -9*h + 5*j + 625 = -4*h. Is h a multiple of 16? False Let o(a) = 271*a + 2101. Is 15 a factor of o(-4)? False Suppose 6*s + 3*j - 1763 = s, -5*s = 5*j - 1755. Suppose -5*g - s = -90. Let w = g - -117. Is 32 a factor of w? True Let n(v) = -v**2 + 25*v - 6. Suppose 2*q = i + 2*i - 49, -2*q = 4*i - 42. Is 6 a factor of n(i)? True Let s(z) = -2*z + 18. Let o be s(7). Suppose -o*g + 3*u = -25, 2*g + 0*u = -5*u - 7. Is 15 a factor of (g + 320/25)*(-25)/(-2)? True Suppose 8*w - 38125 - 1001 = 2*w. Is w a multiple of 3? False Let i(b) = b**3 - 6*b**2 + 7*b - 14. Let m be i(6). Let w(k) = -9*k**2 + k - 1. Let g be w(1). Let t = g + m. Is 13 a factor of t? False Let j = -61 - -64. Suppose -u - 5*r + 66 = u, 4*u + j*r = 104. Is 7 a factor of u? False Suppose 4*w = 5*f - 1416, -2*w = -15*f + 20*f - 1392. Does 5 divide f? True Let w(t) = -t**2 + 7*t + 7. Let h be w(6). Suppose -9 = 16*b - 19*b. Suppose -4*i = -12, -32 = -b*y - i + h. Is 14 a factor of y? True Is (-14 + 97)/(-7*36/64 - -4) a multiple of 37? False Suppose 2*t = 3*a + 1110, 2*t - 4*a = 611 + 497. Is 18 a factor of t? True Is -2*(1 - 3) - 5944/(-4) a multiple of 14? False Let b be 1012/10 + 56/70. Suppose b*s - 104*s = -34. Does 10 divide s? False Is 26 a factor of ((-22)/3 + 8)/(22/202125)? False Let j be (-5)/2 - (-438)/(-12). Is (-14948)/(-12) + (-13)/j a multiple of 45? False Let r(a) = -65*a - 230. Let h(d) = -2*d - 107. Let j be h(-47). Does 12 divide r(j)? False Let h(b) = 2*b**2 - 3*b + 3. Suppose -5*c + 3*c = 6. Does 10 divide h(c)? True Suppose -84*p = 59337 - 385761. Does 58 divide p? True Suppose -10*p + 17*p = 8*p + 5*p. Let t(n) = -n**2 - n. Let f(d) = 2*d**2 + 4*d - 47. Let u(k) = -f(k) - 4*t(k). Does 17 divide u(p)? False Let k be 15/(45/(-2)) - (-16)/6. Suppose -5*p + k = -q - 2, p - 5 = 0. Is 2 a factor of q? False Let r be (8/(-10) + 4 + -4)*-30. Let o = -28 + r. Let p = 1 - o. Does 2 divide p? False Suppose 5*j - 13 = 3*z - 0, 1 = -z + j. Let f(v) = -8*v + z*v - v**3 + 14*v - v + 11 - 8*v**2. Is 13 a factor of f(-10)? False Let g = 471 + 7836. Let c = g - 5711. Suppose 0 = 4*f + 7*f - c. Is f a multiple of 21? False Is 6 a factor of 435/(-25)*(-220)/11? True Let m(l) = -l**2 - 12*l + 32. Let c be 83/3 - (-1)/(-6)*4. Suppose -3*n + c = 66. Is m(n) a multiple of 2? False Suppose 140 = 9*u - 5*u. Suppose -9 = -d - u. Let w = d + 116. Is w a multiple of 45? True Let j = -525 + 528. Does 33 divide (j/(-5))/(56/(-10920))? False Is 40 a factor of (-2 - 12336/(-7)) + 158/(-553)? True Let q = 1219 + -863. Suppose -3*m - 182 = -j - 2*m, -2*m = 2*j - q. Is 27 a factor of j? False Let c(y) = y**2 - 4*y - 2. Let d be c(4). Let l(q) = -741*q**2 + 3 - 743*q**2 - 1 - q**3 + 1483*q**2. Is l(d) a multiple of 6? True Let f be 0 + 3 + 0 + 2. Suppose 0 = -h - f*z + 8, 2*h - 4*z - 51 = -7*z. Suppose 2*b + 0*b - 5*k = h, 0 = 3*b + 3*k - 60. Does 17 divide b? False Let m(b) be the third derivative of -29*b**4/8 + 3*b**3 + b**2 - 2. Is 33 a factor of m(-5)? False Let v(a) = 4*a**2 - 12*a - 2. Let y(t) = 2*t + 14. Let g be y(-10). Is 27 a factor of v(g)? False Let d = -40 + 172. Suppose -2*r + 4*o = 94, -3*r - 4*o + o - d = 0. Let h = 15 - r. Does 10 divide h? True Let u be (4/(-6))/(15/((-2025)/30)). Suppose -u*f - f = -3200. Is 5 a factor of f? True Let f = 73 - 61. Is -1 - f/(-2) - -355 a multiple of 30? True Let d be (-2)/4 - (-3 + (-2964)/8). Suppose 14*w - d = 131. Does 12 divide w? True Does 69 divide (-1382670)/(-378) + (-30)/35? True Let x(l) = 21*l + 48. Let u be x(-2). Is 88 a factor of 1074 + 90/u + -7? False Let u = 358 - 104. Let b = 282 - u. Is 18 a factor of b? False Does 7 divide (2/(-4))/(40/(-30)) - (-2114383)/472? True Let d(s) = -4*s - 21. Let g be d(-6). Suppose -m - g*p = -436, -5*m + p + 872 = -3*m. Does 8 divide m? False Let i = 1520 + -1011. Let f be 7 + -9 + 1/(3/1998). Suppose 0 = -5*p + 3*z + f, 4*p = 2*z - 7*z + i. Is 32 a factor of p? False Suppose 3*b = 5*b + 12. Let i be (2 - (-44)/b)/(12/108). Is (i/(-5))/(19/190) a multiple of 12? True Suppose 7*o - 409 = 893. Let k = o + -163. Is 11 a factor of k? False Let k(q) = -5*q**3 - q**2 + 36*q - 11. Is 19 a factor of k(-6)? True Let i(y) = 157*y + 9. Let l be i(5). Suppose 9*h - l = 1942. Is 18 a factor of h? False Let h = 439 - 441. Let s(z) = -99*z + 49. Is 13 a factor of s(h)? True Suppose 4*t + 6 - 2 = 0, -t = -i + 3. Does 29 divide (i - (-2 - 2)) + 23? True Let u(i) = 3*i**2 + 16*i + 18. Let z be u(9). Let r = 863 - z. Is r a multiple of 20? False Is (-1)/(5 - (-216)/(-42)) - -975 a multiple of 10? False Let h = -3496 + 8835. Is 92 a factor of h? False Is 159 a factor of (102*1/(-2))/(13/(-1183))? False Suppose 30 = -5*q - 5*a, -q + 4*q - a + 6 = 0. Let l(r) = 24*r**2 + 11*r + 39. Does 7 divide l(q)? False Suppose -66*x + 6*x - 62*x + 1001742 = 0. Is x a multiple of 51? True Let p = 536 - 536. Suppose -2*s + 3*y + 1764 + 1005 = p, -y = -s + 1387. Is 12 a factor of s? True Suppose 5*o + 4*
{ "pile_set_name": "DM Mathematics" }
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" }
, 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" }
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" }
863*n**3 + 24773*n. -227178*n Find the second derivative of 3*m**5 - 12111*m**3 + 6*m - 1425. 60*m**3 - 72666*m What is the second derivative of -40*i**4*j + i**4 + 432*i**3 - 73*i*j + 9*i - 2*j - 1 wrt i? -480*i**2*j + 12*i**2 + 2592*i What is the third derivative of 381*w**6 + w**5 + 54*w**3 + 3*w**2 + 307*w wrt w? 45720*w**3 + 60*w**2 + 324 What is the third derivative of -3*o**4*z**3 + 6781*o**3*z - 57*o**2*z - 102*o*z**3 wrt o? -72*o*z**3 + 40686*z Find the third derivative of 1853752*k**4 + 196856*k**2 + 1 wrt k. 44490048*k What is the derivative of -4*i*l**3 + 2265*i + 2*l**3 - 1498 wrt i? -4*l**3 + 2265 Find the second derivative of 10*b**3*i*r + 3*b**2*i*r - 22*b**2*i + 19*b**2 + b*i + 7*i - 876*r wrt b. 60*b*i*r + 6*i*r - 44*i + 38 What is the third derivative of -q**4 + 2*q**3*r - 4435*q**3 - 2*q**2*r + 5*q**2 + q*r + 477*q + 27 wrt q? -24*q + 12*r - 26610 What is the derivative of 2*p**4 + 2*p**3 + 1651110*p**2 + 661611 wrt p? 8*p**3 + 6*p**2 + 3302220*p Find the third derivative of 52744*j**6 + j**2 - 16894. 6329280*j**3 Find the third derivative of 4*p**5 + p**4*w**2 + 85*p**3 + 17*p**2*w - p**2 - 20*p*w**2 - 2*w**2 wrt p. 240*p**2 + 24*p*w**2 + 510 What is the third derivative of -298*f**2*v**3 - 395*f**2*v - 4*f*v**3 + 4*v**3 + 10*v**2 - 1 wrt v? -1788*f**2 - 24*f + 24 What is the first derivative of 71188*g**2*t**3 + 11008*t**3 wrt g? 142376*g*t**3 Find the third derivative of 374602*y**3 - y**2 - 84*y - 41. 2247612 Find the first derivative of b*d**3 + 5937*b*d + 48989*b + 19*d**4 wrt d. 3*b*d**2 + 5937*b + 76*d**3 What is the third derivative of -90059*a**3*w**3 - a**3*w**2 - 2*a**3*w + 28*a**2*w**2 + 21*a**2*w wrt w? -540354*a**3 Find the second derivative of -830*p**4 + 9*p**3 + 3*p**2 + 688*p - 68 wrt p. -9960*p**2 + 54*p + 6 Find the second derivative of 552371*s**3 + 142423*s. 3314226*s What is the third derivative of -2320*k**5 + 9*k**4 + k**2 + 72185? -139200*k**2 + 216*k What is the second derivative of 675*b**4 - 21*b**3 - 8*b**2 + 10*b + 16138 wrt b? 8100*b**2 - 126*b - 16 Find the first derivative of -23*c**3*u - 2*c**3 - 6949*c + 189*u wrt u. -23*c**3 + 189 Find the third derivative of -438523*u**3 - 2*u**2 + 39*u + 160. -2631138 Find the third derivative of -152*v**6 + 14*v**5 - 2*v**3 + 969*v**2 - 1. -18240*v**3 + 840*v**2 - 12 Find the first derivative of -2266*i**3 - 70*i**2 - 1868529. -6798*i**2 - 140*i What is the second derivative of -10728*z**5 - 64*z - 19? -214560*z**3 Find the third derivative of -146706*v**5 - v**4 - 2*v**3 - 1824273*v**2 wrt v. -8802360*v**2 - 24*v - 12 What is the third derivative of -4*z**5 - 16*z**4 + 28*z**3 - 97542*z**2? -240*z**2 - 384*z + 168 What is the second derivative of 5710906*k**2 - 4649147*k? 11421812 Find the second derivative of -40694*m**4 + 27305*m. -488328*m**2 What is the third derivative of -682*r**4 + 713*r**3 - r**2 - 10260*r - 1 wrt r? -16368*r + 4278 What is the second derivative of 33*d**4 + 2*d**3 + 47*d**2 - 61817*d wrt d? 396*d**2 + 12*d + 94 Differentiate 2*y**4 + 1647*y**2 + 4*y + 137682. 8*y**3 + 3294*y + 4 Find the first derivative of 11432*q**4 - 79*q**3 + 4502783. 45728*q**3 - 237*q**2 What is the second derivative of -2*m**2*p**2 + 2179*m**2 + m*p**2 - 14589*p**2 - 3*p wrt m? -4*p**2 + 4358 Find the first derivative of 49851*p + 57744 wrt p. 49851 Differentiate 55*y**2 + 56*y - 20673. 110*y + 56 What is the third derivative of -331*g**2*n*z**2 + 4*g**2*z**3 + g*n*z**3 - 72*g*z**2 + 18*n*z**3 + 3*n*z**2 + 36*z**3 wrt z? 24*g**2 + 6*g*n + 108*n + 216 What is the first derivative of -27107*k**2 - 179860 wrt k? -54214*k Find the third derivative of 1217*k**5*p**3 - 260*k**3*p**3 - k**2*p**2 + 268880*k*p**3 wrt k. 73020*k**2*p**3 - 1560*p**3 What is the third derivative of 3*l**4 - 423538*l**3 + 1135*l**2 + 61? 72*l - 2541228 What is the third derivative of 2768218*f**4 + 117*f**2 + 134? 66437232*f Differentiate -2*f*j**2*v - f*j**2 - f + 697*j**2*v**3 + 1752 with respect to v. -2*f*j**2 + 2091*j**2*v**2 Find the second derivative of 24341*n**4 + n**3 + 5489*n wrt n. 292092*n**2 + 6*n Find the second derivative of -3*t**4*u**3 - 22814*t**4*u - 11*t*u**2 + t - 4*u**3 + 57*u wrt t. -36*t**2*u**3 - 273768*t**2*u What is the second derivative of -10203*f**3 - 15*f**2 - 303718*f? -61218*f - 30 Find the third derivative of -3*z**4 + 263973*z**3 - 3081394*z**2 wrt z. -72*z + 1583838 What is the derivative of -230620*t**3 - 444394? -691860*t**2 What is the third derivative of -5617*o**5 - 3*o**4 - 10*o**3 + 6199184*o**2? -337020*o**2 - 72*o - 60 Find the third derivative of -67321*o**4 - 8*o**2 - 15*o + 25. -1615704*o What is the third derivative of -914*b**4*n + 8*b**3*n**3 - 33*b**2*n - 1114*n**3 wrt b? -21936*b*n + 48*n**3 Differentiate 14400*c**4*y**3 - c**4*y - 2546*y**3 + 3 wrt c. 57600*c**3*y**3 - 4*c**3*y What is the second derivative of -24*f**5 + 500*f**3*z**2 + 7*f*z**2 - f*z + 711*f wrt f? -480*f**3 + 3000*f*z**2 Find the third derivative of -2*l**3*r*w - 406*l**3*w + 3*l**3 - 74*l**2*r*w + 3*l**2*r - 2*l - 10*r*w wrt l. -12*r*w - 2436*w + 18 Find the second derivative of -91836*x**2 + 8450*x + 1. -183672 What is the second derivative of 135351*g**3 - 4*g - 23490 wrt g? 812106*g What is the third derivative of 404214*w**6 + 1392004*w**2 + 2*w wrt w? 48505680*w**3 Find the third derivative of -18*m**6 + 22*m**5 + 6*m**4 + 8679*m**2 - 2. -2160*m**3 + 1320*m**2 + 144*m Find the second derivative of 46959*l**4 + 2*l**3 + 2*l**2 + 91*l + 472 wrt l. 563508*l**2 + 12*l + 4 Find the second derivative of -3642*b**3*j*n**2 - 84*b**3*j*n - 4*j*n**2 + 118*j*n wrt n. -7284*b**3*j - 8*j Differentiate -14*d**2*i - 24710*d**2 - 567*i**2 + 2 wrt i. -14*d**2 - 1134*i What is the second derivative of 1853*c**3*x**2 - 100*c**3 + c**2*x**2 + 221*c**2*x + x**2 wrt x? 3706*c**3 + 2*c**2 + 2 Differentiate 800066*p - 1349963 with respect to p. 800066 Find the third derivative of -18*j**4 - 3018*j**3 - 4395*j**2 + 143*j. -432*j - 18108 What is the third derivative of 3*m**5 - 7204*m**4 - 32527*m**2? 180*m**2 - 172896*m What is the third derivative of 15588*v**5 - 2*v**4 - 77255*v**2 wrt v? 935280*v**2 - 48*v What is the third derivative of -1135176*j**5 - 346216*j**2? -68110560*j**2 Find the first derivative of -2404*q**2 - 4*q - 22082 wrt q. -4808*q - 4 Find the second derivative of 4*g**3*p**2 - 2994*g**3 + 2*g*p - 17487*p**2 wrt g. 24*g*p**2 - 17964*g Differentiate 5*c*i**3*u - 169*c*i**2*u - 1223*c + 5*i**3*u + 4*i**3 - 547*i**2*u - 26*i*u wrt c. 5*i**3*u - 169*i**2*u - 1223 Find the first derivative of 17*f**3*o + 44*f**2*o**3 + 2*f**2*o + 2*o**3 + 6337*o wrt f. 51*f**2*o + 88*f*o**3 + 4*f*o What is the derivative of 8*z**4 + 1171*z**2 - 27778? 32*z**3 + 2342*z What is the third derivative of 10719*i**4 - i**3 - 97*i**2 - 2*i - 38 wrt i? 257256*i - 6 What is the third derivative of -7789*f**5*r**2 - 2*f**5 - 5*f**2 + 2*f*r - 108*r**2 + 6*r wrt f? -467340*f**2*r**2 - 120*f**2 What is the first derivative of 10*a**4 - 2*a**2 + 3530*a + 140485 wrt a? 40*a**3 - 4*a + 3530 What is the first derivative of -5*b**3*r - 186*b**3 + 31649*b**2*r**3 + 12*b + 5 wrt r? -5*b**3 + 94947*b**2*r**2 Find the second derivative of a**3*c*u**3 + 2*a**3*c*u - 43*a**3*c - 60139*a**3*u**3 - 42*a**2*c*u - 6*a**2*c + 2*a*u wrt u. 6*a**3*c*u - 360834*a**3*u What is the third derivative of 547090*j**5 + 2*j**4 - 2*j**3 + 999896*j**2 wrt j? 32825400*j**2 + 48*j - 12 What is the first derivative of 90827*s*t**3 + t**3 - 347*t**2 + 24*t wrt s? 90827*t**3 Find the third derivative of 55296*n**3 + 17*n**2 - 349 wrt n. 331776 Find the third derivative of 2*h**4 - 828501*h**3 + h**2 + 110*h - 1017. 48*h - 4971006 What is the second derivative of -1114026*c**2 - 1444293*c - 2 wrt c? -2228052 Differentiate 35*k**2*t + 554*k*t**2 - 7*t**2 + 18*t - 47 wrt k. 70*k*t + 554*t**2 Find the second derivative of 2413532*q**4 + 2324308*q wrt q. 28962384*q**2 Find the third derivative of 3571*f*o**3*u*x**4 - 2*f*o**2*u**2*x - f*u**2*x**4 - 29*f + o**3*u*x - 7*o**3*u + 2*u**2*x**2 + 4*u**2*x wrt x. 85704*f*o**3*u*x - 24*f*u**2*x What is the first derivative of -3*r**4 + 8672*r**3 + 2*r**2 - 43025? -12*r**3 + 26016*r**2 + 4*r What is the derivative of 48539*p**3 - 93345? 145617*p**2 Find the third derivative of 7*k
{ "pile_set_name": "DM Mathematics" }
at is the derivative of n(o) wrt o? -2007 What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p? -31656*p Let q be (2/15*6)/((-22)/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o? -18*o - 52 Find the second derivative of -833*h + 176*h - 267*h + 473*h**3 - h**2 wrt h. 2838*h - 2 Suppose -11*n + 10*n + 6 = 0. What is the third derivative of -1 - 84*s**n + 13745*s - 13745*s - 9*s**2 wrt s? -10080*s**3 Differentiate -6501 + 6866 - 382*s**3 + s**3 wrt s. -1143*s**2 Let z(h) be the third derivative of -195*h**8/112 + h**4/6 + 53*h**3/2 + 1556*h**2. Find the second derivative of z(t) wrt t. -11700*t**3 Let r(f) be the first derivative of 2*f**7/7 - 14*f**6/3 - 7*f**3 + 51*f - 3138. Find the third derivative of r(c) wrt c. 240*c**3 - 1680*c**2 Let n = 270 + -265. Find the third derivative of 69*u**5 - 30*u**2 - 69*u**n - 8*u**6 wrt u. -960*u**3 Let q(o) = -495*o**3 + 5*o + 1713. Let f(h) = -485*h**3 + 4*h + 1715. Let u(r) = 5*f(r) - 4*q(r). What is the first derivative of u(z) wrt z? -1335*z**2 Let o(d) = -2*d**2 - 1. Let c(b) = 300*b**3 - 8*b**2 - 792. Let h(s) = -5*c(s) + 20*o(s). Find the first derivative of h(l) wrt l. -4500*l**2 Let g = 2 - 0. Let d be 8 + ((-3)/g)/(8/16). Find the third derivative of 758*y - 758*y + 2*y**d + 17*y**2 wrt y. 120*y**2 Let u(h) = 16*h - 63*h + 32*h**2 - 86*h - 16. Let c(p) = -31*p**2 + 133*p + 12. Let a(l) = -4*c(l) - 3*u(l). What is the second derivative of a(w) wrt w? 56 Let d(n) = -21*n**2 + 19*n - 2275. Let t(c) = -6*c**2 + 9*c - 1137. Let s(q) = -2*d(q) + 5*t(q). What is the derivative of s(l) wrt l? 24*l + 7 Let f = -113 + 119. Suppose 9*c - 6*c = f. Find the third derivative of -59*r**c + 43*r**4 + 149*r**2 - 64*r**2 wrt r. 1032*r Suppose 6*g - 272 - 40 = 0. What is the first derivative of -51 - 89 + 41 - g*j - 51*j - 51*j wrt j? -154 Find the third derivative of 485*o**4 + 60*o**2 + 589*o**4 + 1657*o**4 - 912*o**2 wrt o. 65544*o Let c(s) be the first derivative of 0*s**2 - 10 - 2/3*s**3 + 5/4*s**4 + 31*s. Find the first derivative of c(m) wrt m. 15*m**2 - 4*m Differentiate 140 + 787 + 607*l**3 + 728*l**3 + 1735*l**3 + 110*l**3 with respect to l. 9540*l**2 Let l(i) = -64*i**5 + 56 - 29 - 27 + 23*i**2 + 3*i. Let y(s) = 704*s**5 - 252*s**2 - 32*s. Let b(j) = 32*l(j) + 3*y(j). Find the third derivative of b(a) wrt a. 3840*a**2 Let i be -7 + (-39)/(-4) + 1*(-2 + 0). Let q(p) be the second derivative of -5*p**2 + 0 - i*p**4 + 19*p + 0*p**3. What is the derivative of q(l) wrt l? -18*l Let a(c) be the third derivative of 1135*c**4/12 - 527*c**3/3 + 1320*c**2. Find the first derivative of a(m) wrt m. 2270 Find the third derivative of 1087*x**4 + x**4 + 1524*x - 444*x - 3*x**2 + x**2 wrt x. 26112*x What is the second derivative of 4*z**2 + 62045*z**3 - 62251*z**3 - 2*z**2 + 2285*z wrt z? -1236*z + 4 Let d(l) = 1790*l**2 - 3740*l + 18. Let u(m) = 3578*m**2 - 7477*m + 42. Let y(x) = -7*d(x) + 3*u(x). What is the second derivative of y(f) wrt f? -3592 Let b(k) = 3*k**2 - 251*k + 372. Let v(p) = 4*p**2 - 268*p + 376. Let f(j) = 2*b(j) - 3*v(j). Differentiate f(d) with respect to d. -12*d + 302 Let k(j) = j**4 - 284*j**3 + 2521*j**2 + 2. Let a(r) = -r**4 + 285*r**3 - 2522*r**2 - 3. Let o(v) = -2*a(v) - 3*k(v). Find the third derivative of o(t) wrt t. -24*t + 1692 Let s(d) = 227*d + 1081. Let h(r) = 456*r + 2163. Let g(x) = 4*h(x) - 9*s(x). What is the first derivative of g(l) wrt l? -219 Let h = 232 - 228. Find the second derivative of 4*l + 14*l**4 - 3 + 12*l**h + 11*l**4 + 0*l wrt l. 444*l**2 Let g(r) = 2111*r**2 - 23*r + 58. Let n(b) = 10560*b**2 - 112*b + 290. Let c(a) = -19*g(a) + 4*n(a). What is the second derivative of c(i) wrt i? 4262 Suppose 143*a - 144*a = -2. Find the third derivative of -k**3 + 1 + 3 + a*k**6 - 6*k**2 + 62*k**3 wrt k. 240*k**3 + 366 Find the third derivative of -5895*s**3 - 1284 - s + 2512 - 1209 + 6*s**2 wrt s. -35370 What is the derivative of 15 + 1393*i - 214*i - 25 + 15 - 7*i wrt i? 1172 Let g(r) be the third derivative of r**5/60 + r**4/12 - 5*r**3/6 - 4*r**2. Let m be g(2). Differentiate 72 - 7*q**3 - 67 - 5*q**m wrt q. -36*q**2 Find the first derivative of -4578*i**2 + 197*i**2 + 501*i**2 - 3221 wrt i. -7760*i Let n(r) = -22*r + 184. Let k be n(7). Differentiate 10 + k + h - 3*h**2 + 12 with respect to h. -6*h + 1 Suppose -2*c + 3*v = -29, -c + v = -6 - 7. Suppose 5*x - 2*n = 7 + 34, 0 = 5*n - c. Differentiate 9*i - x*i + 28 - 13*i**3 + 0*i with respect to i. -39*i**2 Let l(j) = 13456*j**3 - 3706*j**2 + 2*j - 6. Let q(f) = f**3 + f**2 - f + 3. Let o(s) = -l(s) - 2*q(s). What is the third derivative of o(v) wrt v? -80748 Let b = 28 - 23. Let v(r) be the first derivative of -b*r + 7 - r - r**5 + 7*r. Find the first derivative of v(k) wrt k. -20*k**3 Let v(a) = -66*a**5 + 670*a**2 + 4*a. Let n(d) = -67*d**5 + 669*d**2 + 5*d. Let b(g) = 4*n(g) - 5*v(g). What is the third derivative of b(s) wrt s? 3720*s**2 Differentiate -41081*l**3 - 41083*l**3 + 75*l**4 + 693 + 82162*l**3 with respect to l. 300*l**3 - 6*l**2 Let l(k) be the first derivative of 4*k**5/5 - 317*k**4/4 + 1704*k**3 - 2205. What is the third derivative of l(r) wrt r? 96*r - 1902 Let y(g) be the second derivative of -4019*g**5/10 - 3823*g**3/6 - 476*g. What is the second derivative of y(o) wrt o? -48228*o Let h(d) be the second derivative of 0*d**2 - d - 19/20*d**5 + 0*d**3 - 5/3*d**4 - 9. What is the third derivative of h(a) wrt a? -114 What is the third derivative of 6364237*f**2 - 207*f**3 - 6364851*f**2 - 119*f**3 wrt f? -1956 Let n(l) = 8*l**2 - 5*l + 3. Let d be n(2). Suppose 6*u - 5*g - d = u, -22 = -5*u + 4*g. Differentiate 1 + 7 - 2 - 22 + 20*w**u with respect to w. 40*w Let v(d) be the first derivative of 3*d**5/5 + 33*d**4/4 + 13*d + 62. Let j(s) be the first derivative of v(s). What is the third derivative of j(z) wrt z? 72 Let b(y) = -1264*y**2 - 29*y - 534. Let n(l) = 632*l**2 + 16*l + 276. Let m(q) = -6*b(q) - 11*n(q). What is the first derivative of m(s) wrt s? 1264*s - 2 Let n(r) be the second derivative of 0*r**4 + 0*r**5 - 3/10*r**6 - 29/3*r**3 + 1/21*r**7 + 0 + 0*r**2 - 90*r. Find the second derivative of n(k) wrt k. 40*k**3 - 108*k**2 Let p(d) be the first derivative of -41*d**6/6 + 25*d**4/4 + 2*d**3/3 - 1183*d**2 - 4197. What is the third derivative of p(j) wrt j? -2460*j**2 + 150 Let j(i) be the second derivative of -1438*i**5/5 + 204*i**4 - i**2 - 10422*i. Find the third derivative of j(q) wrt q. -34512 Let j(s) = -30 + 25*s - 17*s + s**2 - 1. Let u be j(-11). What is the derivative of 19 - 2*q - u*q - 16*q wrt q? -20 Let c(m) be the third derivative of -5537*m**5/60 - 6187*m**3/6 - 12007*m**2. Differentiate c(r) wrt r. -11074*r Let k(n) be the first derivative of -23*n**2 + 0*n**4 + 0*n + 0*n**5 + 0*n**3 + 169 - 103/3*n**6. Find the second derivative of k(r) wrt r. -4120*r**3 Let q(o) be the second derivative of -5*o**4/12 + 49*o**3/6 + 378*o**2 - 2783*o. Find the first derivative of q(r) wrt r. -10*r + 49 Differentiate -14*d**2 + 5639*d - 2842*d - 2834*d - 1246 wrt d. -28*d - 37 Let l = -326 + 329. What is the first derivative of -3*d**3 - 5*d - 3 - l*d - 81 + 3*d wrt d? -9*d**2 - 5 Let m = -55 + -14. Let i be -4 + 4 + 4 - m. Find the first derivative of -24 + i - 5*o**4 - 2*o**4 wrt o. -28*o**3 Let j(p) = -69*p - 10. Let x be (-18 + 20)*((-6)/4 - 1). Let m(a) = 70*a + 11. Let l(v) = x*j(v) - 4*m(v). What is the first derivative of l(o) wrt o? 65 Let o(b) = -3*b**4 + 7*b**3 - 4*b**2 + 9*b - 928. Let w(f) = -13*f**4 + 28*f**3 - 17*f**2 + 34*f - 3706. Let g(c) = 17*o(c) - 4*w(c). Differentiate g(j) wrt j. 4*j**3 + 21*j**2 + 17 Suppose 309*m = 312*m - 156. What is the derivative of -2*q**2 + 30*q + 56*q - 127 - 112 - 116 + m wrt q? -4*q + 86 Suppose 0 = -2*l - 4*o + 26, -19 = -4*l - 3*o + 8. Let t(r) be the second derivative of -1/6*r**l + 15*r**2 + 21*r + 0. Differentiate t(u) wrt u. -1 Let p(u) = 1033*u - 924. Let c(t) = -2047*t + 1844. Let z(y) = -3*c(y) - 5*p(y). Differentiate z(h) wrt h. 976 Let v(n) be the first derivative of n**3/3 + 304*n**2 - 1062*n - 2605. What is the derivative of v(o) wrt o? 2*o + 608 Suppose -13*y = 14 - 170. Let p = 6 + 9. Differentiate 12 - p + 15 + 16*s**4 + y wrt s. 64*s**3 What is the third der
{ "pile_set_name": "DM Mathematics" }
4 -3 times 29382214 -88146642 What is 985361 times 39? 38429079 -5 times 20072.87 -100364.35 Calculate 6070*-22887. -138924090 Product of -12.2 and -1.61505. 19.70361 -2 * -10.53138 21.06276 0.5 times -4534778 -2267389 Calculate -691*150.21. -103795.11 What is the product of -477.757 and -0.3? 143.3271 2248 * 268.3 603138.4 -845.7*-2439 2062662.3 What is the product of -3.2 and -18760.3? 60032.96 Product of 4629201.11 and -4. -18516804.44 Multiply 36 and -36070. -1298520 Product of 1667.716 and 0. 0 Product of 4630.7 and -0.1493. -691.36351 Calculate -0.4*37.0153. -14.80612 Calculate -8.9*-0.063629. 0.5662981 0.0655 * 157.5 10.31625 -1.9 * -5514266 10477105.4 What is -0.179 times -30851? 5522.329 -1*0.1800356 -0.1800356 What is the product of 27.20519 and -10.2? -277.492938 287.8731 * 0.3 86.36193 -61717748 times 0.5 -30858874 What is -4819156 times -6? 28914936 What is the product of -5.99 and -0.147497? 0.88350703 Work out 0.11 * -0.03324126. -0.0036565386 Multiply 0.9599 and -3202. -3073.5998 Multiply -5 and -74969. 374845 1.36776 * -0.062 -0.08480112 What is 779.6 times -0.6735? -525.0606 Product of 136189.1 and -0.79. -107589.389 Calculate 1910*25.5124. 48728.684 Work out -0.034 * -476548. 16202.632 -0.5 times 4046327 -2023163.5 15250831 * -4 -61003324 -0.2*0.662406 -0.1324812 -1698*0.97995 -1663.9551 Work out 47 * 21.9007. 1029.3329 Product of 170556 and -464. -79137984 Product of -0.1 and -3609.7914. 360.97914 Product of -982077678 and -0.2. 196415535.6 -0.1 * -4761303 476130.3 -77091228 times 0 0 Calculate 0.3*-119969093. -35990727.9 -4989.5769*0.4 -1995.83076 141 times -199631 -28147971 Multiply -0.01926143 and 0.4. -0.007704572 Product of 2.822 and -2613. -7373.886 Calculate 46*-864.885. -39784.71 Work out -69 * -120925.73. 8343875.37 Multiply 6.19 and 2864. 17728.16 What is 381355 times 375? 143008125 Product of 0 and -696.945. 0 4075431.5 times 6 24452589 -645.19486*-5 3225.9743 0.5 * -1043164 -521582 Calculate -967018488*1. -967018488 Work out -22.76 * -35.64. 811.1664 -4334*225 -975150 Calculate -388*-238107. 92385516 -17*0.0209303 -0.3558151 -44 * -627519 27610836 What is the product of 0.82566 and 0.8? 0.660528 0.4 times -1.18521736 -0.474086944 Work out -5.698 * 4866. -27726.468 -351.71642 * -1 351.71642 Product of 2113381 and -26. -54947906 -0.021457 * 9.758 -0.209377406 Work out -22256 * -3.01. 66990.56 Multiply -22.841 and 6414. -146502.174 -2 * -3703.786 7407.572 Multiply 19.97181 and -0.01. -0.1997181 0.462 * -275.284 -127.181208 Calculate 616*-1.544. -951.104 What is the product of -0.6 and -3428.548? 2057.1288 Work out 2209204 * 71. 156853484 Product of 7888.2 and -0.052. -410.1864 Product of -3 and 898651. -2695953 Calculate 17417.3*0.26. 4528.498 What is 275 times -6713.35? -1846171.25 Product of 0.075 and 244301. 18322.575 -7075701.7 * -0.4 2830280.68 What is the product of 0.0209 and -4.544? -0.0949696 Calculate 326.52038*0.1. 32.652038 What is the product of -8906 and 297? -2645082 -88 times 35062.1 -3085464.8 What is the product of -0.3 and 1379635? -413890.5 Multiply -54 and -453271. 24476634 0.00861*-194 -1.67034 What is -0.01 times 313.7463? -3.137463 Calculate -813856.7*20. -16277134 What is the product of 3473 and -14335? -49785455 -163.8733*12.8 -2097.57824 12476360 times -0.02 -249527.2 Product of 0.0225312329 and -5. -0.1126561645 Product of -0.07726 and 0.033052. -0.00255359752 0.12*-880018 -105602.16 -30*-522396 15671880 What is the product of -2014.573 and -0.4? 805.8292 What is the product of -11.4 and 262458.5? -2992026.9 What is the product of 3230.425 and 2.4? 7753.02 Product of 176 and 4.2044. 739.9744 Multiply 80251 and -142. -11395642 Work out 819 * -117230. -96011370 689297697 times 5 3446488485 -2.3 times -878880 2021424 Calculate -167613185*-0.5. 83806592.5 112498*-208 -23399584 What is the product of 133786745 and -3? -401360235 -120100 times 0.17 -20417 218.74055*-0.01 -2.1874055 Multiply -2133256 and 0.8. -1706604.8 Multiply -53.4 and 0.11009. -5.878806 Multiply 1081283 and -80. -86502640 Work out 10592248 * -0.5. -5296124 Calculate 187240.7*-0.1. -18724.07 21.8 times -12.132 -264.4776 Product of -71223 and -1.13. 80481.99 0.3 times -0.6411778 -0.19235334 Work out 915.3 * 290.2. 265620.06 Calculate -0.0706625*0.1. -0.00706625 Product of -1 and -323457804. 323457804 -0.2 * 14872440 -2974488 3 times -0.189040812 -0.567122436 Calculate 82.8700174*-5. -414.350087 What is -27.29 times 36? -982.44 Work out -1875.0484 * -17. 31875.8228 1866637 times 105 195996885 Multiply 0.24705272 and -0.13. -0.0321168536 0.03*6125825 183774.75 Product of -81586071 and 0.3. -24475821.3 What is the product of -0.4 and -179389558? 71755823.2 Product of 2 and 1020.15. 2040.3 What is the product of 0.285 and -51452? -14663.82 Calculate -4.7331*149. -705.2319 -1024.1 times -6299 6450805.9 -0.11636 * -29549 3438.32164 What is 96877723 times 3? 290633169 0.044*-77225 -3397.9 133*-457 -60781 -0.048089 * -6774 325.754886 Product of -2 and 2298681. -4597362 Product of 3975366 and -0.09. -357782.94 What is the product of -0.2387 and -40202.6? 9596.36062 215.3 * 6665 1434974.5 What is 1277069 times 18? 22987242 -9952360*-66 656855760 Calculate 26*-3123989. -81223714 Calculate 196809.3*-0.52. -102340.836 -24898897 times 35 -871461395 Calculate -52*-1.23987. 64.47324 Multiply 0.3 and -19.5210619. -5.85631857 Product of -0.65 and -0.454036. 0.2951234 What is -9604760 times -0.9? 8644284 Work out 16 * 414093. 6625488 Calculate -89.1*23.591. -2101.9581 Calculate -35961357*0.4. -14384542.8 Multiply 5 and -0.28188. -1.4094 -924 times -75123 69413652 Product of -37567914 and 27. -1014333678 Calculate 4.6*-18.717981. -86.1027126 What is -9924.09 times 2.4? -23817.816 -2478 * -16.736 41471.808 What is -18.6002 times -100? 1860.02 Work out -3 * 2722.6177. -8167.8531 -27939 times -77 2151303 Work out 2165844 * -0.07. -151609.08 What is -25432.54 times -3? 76297.62 What is the product of -18252.002 and 1? -18252.002 -1058718*1 -1058718 0.05*-2985.238 -149.2619 What is the product of 0.359102797 and -1? -0.359102797 Multiply 79731.9 and -0.1. -7973.19 Calculate -6057*13.802. -83598.714 -1.1 * 56255 -61880.5 6137618 times 2 12275236 62 * -3042584 -188640208 -0.6 * 0.03215237 -0.019291422 What is the product of 2.0384363 and 0.3? 0.61153089 0.316*114295 36117.22 -3.7 * -434113 1606218.1 -0.02923 * 2921 -85.38083 Multiply -2.6 and 1.2361021. -3.21386546 Product of 292.8 and 0.216. 63.2448 Product of -1138 and 98.965. -112622.17 0 * 980.4292 0 Work out -4427 * -65863. 291575501 What is 866712 times -0.1? -86671.2 Multiply -434 and -0.1535. 66.619 What is -26 times -0.174879? 4.546854 What is 51122915 times -16? -817966640 Multiply 0.02 and 75350. 1507 -959 * -30239 28999201 What is 2.08 times -4.7859? -9.954672 Multiply 774878511 and -0.3. -232463553.3 What is 11.5461 times -36.1? -416.81421 Work out -387586604 * 0.5. -193793302 Work out 964 * 118.92. 114638.88 Work out 0.1325181 * -35. -4.6381335 Calculate 24.99*-499136. -12473408.64 1709*0.552 943.368 What is the product of 0.2 and -22.80329? -4.560658 What is the product of 19293 and 46.6? 899053.8 Multiply 7 and 19.2499. 134.7493 74595 * 67 4997865 269 * 44707 12026183 Calculate 347.8*28527. 9921690.6 Multiply 1.69 and 1568.4. 2650.596 -4360084 times 0.36 -1569630.24 Multiply 0.44 and -0.0493279. -0.021704276 What is the product of -33 and 2326.635? -76778.955 Work out -523335 * -178. 93153630 What is the product of -1.31 and 28907.5? -37868.825 4213*-14062 -59243206 0.221 * -289038 -63877.398 What is -5 times -4875478? 24377390 1.54752*2.9 4.487808 1.1*79054267 86959693.7 Product of -41641 and -36. 1499076 Multiply -0.05 and -723136. 36156.8 Calculate -47458427*-0.06. 2847505.62 Multiply -38.7 and 0.20636. -7.986132 What is -1157 times -60819? 70367583 Multiply 100 and -7623.8. -762380 -32955.9 times -10.7 352628.13 Work out -234 * 36882. -8630388 -3 * 571516.74 -1714550.22 What is the product of -242 and -2.6335? 637.307 Product of -531.17232 and 9. -4780.55088 Work out 128765 * 10. 1287650 -621 times 0.00038 -0.23598 What is the product of -1921937 and 76? -146067212 29158.2081*0.2 5831.64162 What is -1.89629 times 2.8? -5.309612 -0.72 * -1370222 986559.84 Product of -0.00448364
{ "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" }
at is the common denominator of -67/458 and 1 - (-20 + (-28)/7)? 458 Suppose -s = -2*n + 35 - 255, -2*s + 447 = 3*n. What is the least common multiple of 14 and s? 1554 Suppose o + 5*g = -0*g + 22, 5*o = -2*g + 18. Suppose 0 = -0*i - i + o. Find the common denominator of 31/10 and i/(-9) + 3028/(-144). 20 Calculate the common denominator of 19/35 and (-220)/(-50)*6/4. 35 Suppose 19*k = 18*k + 42. Calculate the lowest common multiple of k and 14. 42 Let l(y) = -256*y**2 - 6. Let c be l(-4). Let v = c + 57539/14. What is the common denominator of v and -25/7? 14 What is the lowest common multiple of 75/4 + 69/(-92) and 118? 1062 What is the common denominator of -65/34 and 1/9*-1 - 4760/306? 102 Find the common denominator of -1*(-5)/(-5)*35/22 and -79/76. 836 Suppose -23*j + 1302 = 198. What is the common denominator of 9/14 and j? 14 Find the common denominator of 49/80 and (-1)/28 + 22/(-77). 560 Let o be 5/(-2)*28/(-5). Let p = 19 + o. Calculate the least common multiple of 10 and ((-18)/(-10))/(p/220). 60 Let o be (9/(-2))/(6/(-36)). Suppose o = 4*h - 9. Calculate the smallest common multiple of h and 2. 18 Let u(t) = -t - 7. Let s be u(-10). Suppose 2*b + 2*m - 210 = -3*b, -25 = -b + s*m. What is the least common multiple of 32 and b? 160 Let x(g) = -2*g**2 + 15*g - 10. Let a be x(6). Suppose 5*o - 22 = a. Calculate the smallest common multiple of 17 and o. 102 Let h(p) = -4*p - 7. Let d be h(-2). Calculate the least common multiple of d + (-4)/(-5) + 17/85 and 5. 10 What is the common denominator of 11/2 + (-7)/((-392)/16) and -51/2? 14 Let f be (56/4*-1)/(-2). What is the lowest common multiple of 2 and 36*(7/3)/f? 12 Let r = 5939/1432 - 4/179. What is the common denominator of (-111)/3*3/30 and r? 40 Suppose -2*c - 4 + 12 = 0. What is the common denominator of (0 - 40/(-9)) + (-15)/90 and (-1)/c - (-251)/(-12)? 18 Calculate the common denominator of -145/12 and -14 + 8 + (-17)/(-18). 36 What is the common denominator of (-192)/(-80)*((-9)/7 + 2) and (66/(-10) - -1)/((-10)/25)? 7 Let u be (3/423)/(2/18159194). Let x = 64394 - u. Let a = 4993/5358 - x. Calculate the common denominator of 109/6 and a. 114 Let i = 66 - 51. Suppose -m = u - i, 0*u + m + 5 = u. Calculate the lowest common multiple of u and 10. 10 Let b(c) = 13*c**2 + 2*c - 1. Let d = -31 + 32. What is the smallest common multiple of b(d) and 27/6*2/3? 42 Let t = -100 - -256. What is the least common multiple of t and 4? 156 Let c be (-3)/(-2)*14/1. Let k = c + -12. Suppose -4*m + 12 = 4*j, -2*m = j + 2*j - 7. What is the least common multiple of k and j? 9 Suppose -7*m - 40 = -11*m. Find the common denominator of (21/m - 2)*-21 and ((-5)/3)/(8/(-33)). 40 Suppose -5*s = -7*s + 12. Let n(o) = o**2 - 7*o + 12. What is the lowest common multiple of n(s) and 2? 6 Let a = 784321/1182930 - 60/5633. What is the common denominator of 121/60 and a? 420 Let i(a) = -5*a**2 - 69*a + 16. Calculate the least common multiple of 14 and i(-14). 14 Suppose -5*y + 1800 = 10*y. What is the least common multiple of 30 and y? 120 Suppose 12*i + 5 = 11*i. Calculate the smallest common multiple of 233*i/(-35) + (-2)/7 and 3. 33 Let l = 7713 - 424229/55. Find the common denominator of l and -40/11. 55 Suppose 10*p = 1378 + 422. What is the smallest common multiple of 14 and p? 1260 Let v(o) be the third derivative of -7*o**4/6 - 3*o**2. Let b be v(-1). Suppose -b = 5*c - 118. Calculate the least common multiple of c and 28. 252 Find the common denominator of -83/162 and (-12 - (-495)/44)/((-18)/(-76)). 162 Calculate the common denominator of (-1 - 8) + 8442/900 and 89/60. 300 Let p = 73 + -174. What is the common denominator of 18/5 and 2 + (p/(-10) - 3)? 10 Let a = 497899/6 - 83180. Let u = a - -9487/48. Find the common denominator of 3/6 - (-87)/(-4) and u. 16 Suppose 0 = 5*l - 5*i - 885, 4*l + 2*i - 315 = 387. Suppose c - 9*c + l = 0. Let h(o) = o + 9. Calculate the least common multiple of c and h(-6). 66 Suppose 5*w - w - 16 = 0. Suppose -2*m - k - 4 = 2, k + 10 = -4*m. What is the lowest common multiple of (m/5)/(w/(-80)) and 3? 24 Let m = -88/263 + 25873/8942. Let q = 1746 + -15785/9. What is the common denominator of m and q? 306 Let t(j) be the third derivative of -j**4/8 - j**3/3 - 3*j**2. Let b be t(-2). Suppose 22 = -b*s + 86. What is the lowest common multiple of 2 and s? 16 Let c = -2260 - -2284. What is the least common multiple of c and 33 - 2 - (-1)/1? 96 Let b = -13 + 21. Suppose -5*o + b = -o. What is the common denominator of 119/12 and 314/40 + (0 - o)? 60 Suppose -3*j + 54 = -0*j. Let l(z) = 13*z**2 + 1. Let g(u) = 2*u + 27. Let x be g(-14). What is the least common multiple of l(x) and j? 126 Let a = 71150357729 + -117398095202603/1650. Let s = a + -362/275. Let q = -2993 - s. What is the common denominator of q and -74/3? 6 Suppose 4*b - 4 + 12 = 0. Let y be 135/10 - (-3)/b. Suppose y = -5*f + 52. What is the lowest common multiple of 5 and f? 40 Let y = 30 + -32. Calculate the lowest common multiple of y + 25/2 + (-7)/(-14) and 1. 11 Suppose 5*r = 5*j + 150, -2*r = -j - 86 + 28. What is the lowest common multiple of 36 and r? 252 Suppose -5*y + 5*m - 4*m = 18560, 5*m + 18590 = -5*y. Let a = -37051/10 - y. Find the common denominator of a and -4 + 2 + 21/98. 70 Let y be 8/36 + 1407428/288 + -2. Let f = -4897 + y. Find the common denominator of -87/22 and f. 88 Let p = -2498 - -2514. Calculate the smallest common multiple of 6 and p. 48 Let o be 30/(-42) + (-2)/7. Let s(j) = -2*j**2 + 14*j - 20. What is the smallest common multiple of s(3) and (-1)/(o/2) + 16? 36 Suppose 113*s - 1974 - 3676 = 0. What is the least common multiple of 305 and s? 3050 Suppose a - 9451 = 5*x, x - a + 1891 = -0*a. Find the common denominator of 73/14 and 5595/x + (-3)/7. 126 Let l = -17 - -21. Let m(u) = 8*u - u**3 + 6 + 5*u**2 + 5*u**3 - 3*u**3 + l*u**2. What is the lowest common multiple of m(-8) and 16? 48 Let r be (5 + -4)*-1*(1 - -13). What is the smallest common multiple of 22 and 48/28 - (-2)/r*-2? 22 Let k be 4/(-5)*12940/(-8). Let h = 1/9382 + -379981/93820. What is the common denominator of k/208 - 38/(-247) and h? 40 What is the common denominator of (-1070)/(-132)*246/820 and 6/9 - 151/(-12)? 44 Calculate the common denominator of (-661)/(-180) + (-4)/18 and (-4 - -1)*(-238)/(-252). 60 Suppose 0*y - 3*y = -3. Suppose 0 = 2*j - g - 42, 3*g + 34 = 2*j - 4. What is the smallest common multiple of j and y/2 - 44/(-8)? 66 Let q = 10199/1110 + -4/185. Find the common denominator of (-20 - -35)/(45/(-35)) and q. 6 Let u(l) = -2*l - 6. Let v be u(-5). Suppose 6*a + 7 - 7 = 0. Suppose a*x = -v*x + 4. What is the lowest common multiple of x and 3? 3 Let t = 326 + -324. Suppose -x + 2*u = -12, 2*x - 4*x = -2*u - 22. Suppose x + 12 = i. Calculate the least common multiple of t and i. 22 Let w = 5949 - 588902/99. Find the common denominator of 52/9 and w. 99 Let y = -8 - -12. Let j be (1/(-77))/(y/(-1948)). Let k = j + -90/11. What is the common denominator of k and 31/8? 56 Suppose 5*x = 4*c + 1 + 13, x - 2*c + 2 = 0. Calculate the smallest common multiple of 96 and x. 96 Suppose 13*h = 146 + 49. Calculate the lowest common multiple of 87 and h. 435 Suppose z - 18 = -0*z. Let j be ((-9)/12)/(3/84). Calculate the lowest common multiple of (-77)/j - (-1)/3 and z. 36 Let h = 66 - 58. Calculate the common denominator of (1476/162)/(h/(-3)) and 89/18. 36 Let w = 34 - 84. Let k = w + 52. Calculate the smallest common multiple of k and 17. 34 Let d be -1*4/(-8)*2. Let k = 17 - d. Calculate the common denominator of -51/40 and (-4)/k - (-708)/(-16). 40 Suppose 0 = -3*c + 2*c - l + 115, -4*c + 5*l = -424. What is the smallest common multiple of c and 7? 777 Suppose -3 = 3*v + 2*b - 5, 0 = b - 1. Suppose o + 0*o + 11 = v. Let n = 3 - o. What is the least common multiple of 20 and n? 140 Let j be (36/54702)/((-10)/(-3)). Let n = 238041/70910 + j. What is the common denominator of n and 5/4? 28 Let r(l) = l**3 - 8*l**2 + 26*l + 20. Calculate the lowest common multiple of 22 and r(6). 1144 Suppose -15*z = -17*z - 104. Let b = z - -54. Let i = 87 + -61. Calculate the lowest common multiple of i and b. 26 Suppose 2*z - 30 = 2*w, 2*z = 5*z - 2*w - 40. Calculate the lowest common multiple of 5 and z. 10 Let a be
{ "pile_set_name": "DM Mathematics" }
'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" }
is the value of 2375/1900*(-6)/(-5)? 3/2 What is (((-180)/5)/(-18))/((-4)/(-16))? 8 Evaluate (12/(924/(-143)))/(2/(-14)). 13 153/187*(-4)/18 -2/11 Calculate ((-588)/(-882))/(4/2)*9. 3 (15/20)/((-13)/(468/45)) -3/5 What is the value of 420/(-280)*(-168)/(-18)? -14 Evaluate ((-282)/(-188))/((-2)/(-8)). 6 Evaluate 18/(-9)*((-2)/9)/((-8)/12). -2/3 What is 5/(5/(-54)*(-84)/(1008/24))? 27 Calculate 2/((-1*10/(-15))/((-12)/16)). -9/4 (((-21)/21)/(-2))/(2/(-80)) -20 What is the value of -12*(-9)/((-432)/8)? -2 What is the value of 16/242*14762/5368? 2/11 Calculate ((-9)/18)/((-56)/128). 8/7 Evaluate 2/6*171/304. 3/16 What is (23/2)/(32177/2798)? 1 20/(-1)*(342/(-1197))/(4/(-7)) -10 Calculate ((-120)/(-18))/(174/(-261)). -10 What is the value of (-10504)/39390*(-1)/12? 1/45 Calculate ((-352)/(-132))/(32/(-72)). -6 What is ((104/10)/2)/((11950/250)/239)? 26 What is the value of 1*1/(-2)*(-268)/469? 2/7 Evaluate ((-225)/(-5))/(-5)*(-104)/(-156). -6 Calculate 2/4*(-9590)/6713. -5/7 Evaluate ((-6)/(-384)*8)/((-21)/(-28)). 1/6 (2600/(-6500))/((-44)/10) 1/11 ((-50)/(-5))/(25*2/40) 8 What is ((-18)/(-14))/(21*(-21)/3087)? -9 Calculate ((-16)/32)/(7/182). -13 Evaluate (5/3)/(15850/5706). 3/5 Evaluate 2*(14/(-3))/(-7)*(-171)/12. -19 (20/3)/(((-11120)/288)/139) -24 33/9*63/63 11/3 What is (((-24)/(-660))/((-12)/(-22)))/(2/5)? 1/6 What is the value of (13/(-8424)*-18)/(((-6)/(-2))/12)? 1/9 What is the value of (35/(-14))/((-25)/140)? 14 Calculate (-1*(-15)/20)/((-5)/70*3). -7/2 (-3)/(-18)*8*54/12 6 What is the value of ((-270)/15)/216*108? -9 What is 14/((-1232)/(-165))*(-5)/(-15)? 5/8 What is the value of (-11*(-20)/110)/(5*12/(-330))? -11 Calculate 8/((-64)/30)*(-232)/87. 10 What is the value of ((-13)/(-6))/(16/3552*37)? 13 What is ((-2)/(-69))/((533/13)/123)? 2/23 (291/(-194)*(-12)/(-18))/((-22)/4) 2/11 Evaluate (-644)/(-92)*(-15)/(-21)*3. 15 Evaluate (-77)/(21560/(-1750))*16/5. 20 What is the value of 1*2*14/(-273)*(-14)/(-56)? -1/39 What is the value of (4/14)/(26/(-1001))? -11 What is the value of ((-153)/510)/((-2)/(-20))*19/(-3)? 19 What is 7*(1/2)/((-14)/(-68))? 17 (12*(-10)/(-540))/((-80)/(-36)) 1/10 What is the value of 1974/329*((-6)/(-10))/3? 6/5 What is (4/14)/((24/112)/(-3))? -4 Calculate (12/(-64))/(6/12). -3/8 Calculate (-1836)/306*(-2)/8. 3/2 Calculate (-108)/84*1/12*20. -15/7 Evaluate (-1)/(-1)*(-3)/(-147)*7. 1/7 What is ((-7)/(-168))/(2/12)? 1/4 What is the value of (27/6)/((-90)/(-120)*-2)? -3 What is 6*1/72*2*42/1? 7 Evaluate 140/(-14)*44/3080. -1/7 What is the value of (32/(-1))/(1048/524)? -16 What is 220/(-11)*(-16)/384? 5/6 What is the value of ((-164)/287)/((-2)/(-49))? -14 ((-156)/9)/(40/(-12))*235/47 26 What is the value of 572/(-104)*204/66? -17 Calculate ((-16)/28)/(31/((-35805)/33)). 20 Calculate ((-65)/52)/(31/372). -15 What is the value of (25800/(-175))/86*14/(-4)? 6 What is the value of (-176)/(-1440)*9*(9/(-3))/(-33)? 1/10 Calculate (((-335)/(-201))/(75/12))/(4/(-9)). -3/5 What is ((-52)/2184*63)/(1/(4/(-51)))? 2/17 ((-280)/(-952))/(55/(-44)) -4/17 What is 1/(-28)*6*4? -6/7 Evaluate -4*3/255*(-440)/(-176). -2/17 Evaluate ((-10)/(-10))/(((-2)/(-3))/(430/903)). 5/7 (((-20)/(-220))/((-108)/(-396)))/((-2)/150) -25 Calculate 0*-3*5/30*(-5)/(-10). 0 Evaluate (2/8)/(3*(-6)/936). -13 What is (0/(320/16))/((30/(-5))/3)? 0 (-5)/(85/816*4) -12 What is the value of ((-704)/1056)/((-1)/15)? 10 What is the value of ((-80)/(-100))/((-2)/4)*(-5)/(-1)? -8 What is (18/21)/(12/96*-12)? -4/7 What is the value of (-6)/9*(-315)/(-35)? -6 Calculate (-36*(-22)/2640)/((-24)/380). -19/4 Evaluate 154/(-231)*(-3)/(-8). -1/4 (234/12)/((-66)/(-440)*-5) -26 Evaluate ((-25)/40)/((-91)/728). 5 What is (149/(-6705))/((-2)/(-12))? -2/15 6/4*(-40)/(-90)*-9 -6 Calculate 12/(-1)*(-28)/8*10/(-140). -3 Calculate (((-30)/10)/(20/12))/((-6)/(-40)). -12 ((1677/(-301))/(-13))/(6/14) 1 Calculate (-12)/(-30)*(-1470)/(-308)*11. 21 Evaluate (1*(-1)/4)/((-2)/32*-8). -1/2 What is the value of ((112/8)/(-14))/(7/(-133))? 19 What is the value of ((-4)/(16/30))/6*-8? 10 ((-10)/(-45))/((-74)/(-999))*(-9)/3 -9 Evaluate (6/4)/((-2049)/(-2732)). 2 Calculate 1/14*((-21)/(-28))/((-39)/(-104)). 1/7 Evaluate ((165/9)/(-5))/((-2)/(-66)*11). -11 Evaluate (-120)/(-240)*4/(-2). -1 Evaluate ((-3)/(-6))/((-25)/25). -1/2 Calculate ((-59)/((-2360)/(-20)))/(22/32). -8/11 ((-1656)/(-230))/((-10)/(-25)) 18 (-200)/120*1326/85 -26 3963/5284*128/6 16 Calculate 63/(-6)*(-54)/(-21). -27 (-3*(-160)/48)/(10/(-12)) -12 Calculate (79/(-395))/(8/(-5)). 1/8 What is ((-1520)/6270*(-1)/((-2)/3))/2? -2/11 What is the value of (-2)/(-2)*(-15)/81*-3*6? 10/3 What is 9/84*(-26752)/1254? -16/7 What is (66/12)/(11/((-198)/9))? -11 Evaluate ((-15)/(-7))/(117/819). 15 Evaluate (40/(-190))/1*1/1. -4/19 Evaluate 84/245*(-14)/4*(-10)/42. 2/7 648/81*(-2)/(-60)*1 4/15 What is (((-9)/3)/(-15))/(32/(-80))? -1/2 What is (270/168)/(((-171)/(-456))/((-2)/(-4)))? 15/7 Calculate (-36)/(-10)*4/12*20/108. 2/9 Evaluate 2/(-6)*(-2)/(-3)*(-3348)/124. 6 What is the value of ((-3)/20)/(24/64)? -2/5 What is (-11)/11*3/(3/8)? -8 Calculate (92/(-2)*2)/(40/10). -23 (-20)/2*((-144)/(-63))/((-288)/(-252)) -20 Calculate 49/42*2*(-24)/196. -2/7 What is the value of 34/(-51)*((-312)/(-182))/(6/(-21))? 4 Evaluate (8*25/(-75))/((-1)/(-3)). -8 What is the value of (2/119)/(((-169)/13)/(-91))? 2/17 Evaluate (-10*26/780)/((-4)/(2/(-1))). -1/6 Evaluate (12/435)/((-15)/(-25))*3/(-2). -2/29 Calculate ((-133)/4)/(-140*(-14)/(-2240)). 38 What is ((-15)/(-2))/3*45192/8070? 14 Evaluate ((-16)/3)/4*((-79866)/544)/(-27). -29/4 (15/(-120))/((-14)/448) 4 What is (((-30)/(-70))/(2/(-21)))/((-264)/(-352))? -6 What is (60/21)/(170/(-595))? -10 What is the value of 48/13*(4186/28)/23? 24 What is the value of 1*(254/(-254))/((-2)/(-14))? -7 What is the value of ((-4)/(-24))/((((-24)/8)/(-3))/1)? 1/6 Calculate ((-2)/(-15)*-6)/(8*133/(-140)). 2/19 Evaluate 20/(-8)*(-256)/(-40). -16 Calculate (-84)/150*-5*(-15)/(-36)*3. 7/2 Calculate 108/(-3996)*-4*(-2)/4. -2/37 Calculate ((-28)/4)/(14/(-20)). 10 What is the value of (-2)/10*(-62)/93*1650/(-40)? -11/2 0/(3*5/(-30)*90/15) 0 Evaluate ((10/(-16))/((-55)/22))/(3/84). 7 What is the value of (76/16)/(-19)*64/(-120)*3? 2/5 What is the value of 297/(-1716)*-13*-2*2? -9 What is ((-49)/(-147))/(92/24)? 2/23 What is the value of 12/45*(-280)/336? -2/9 Evaluate ((-2124)/3068)/((-12)/26). 3/2 Calculate 8/(192/45)*(-1)/(12/(-8)). 5/4 What is the value of ((-4530)/(-302))/((-10)/(-16))? 24 63/27*1/((-1)/((-10)/(-35))) -2/3 (-1)/(-2)*-4*(-72)/(-24) -6 Evaluate ((-1742)/(-469))/(2/(-7)). -13 Evaluate (2/(-8))/((-34)/408)*(-5)/1. -15 Evaluate ((-36)/42)/((-459)/(-714)). -4/3 What is the value of 45/(-36)*(-24)/140*-2? -3/7 Evaluate ((-2)/2)/1*(-77)/((-7161)/62). -2/3 Evaluate 11/(506/552)*5/(-3). -20 (-1)/7*(-798)/38*4 12 What is 10/(-70)*(-105)/3? 5 What is (10/(-18))/(((-756)/243)/(-28))? -5 (-26*11/(-2860))/(1*2/(-12)) -3/5 1/(21/((-273)/(-26)))*54 27 104/12*(-171)/(-114) 13 What is the value of ((-1)/(19/1))/((-1944)/(-5832))? -3/19 What is (-28)/(-7)*(306/(-12))/(-17)? 6 Evaluate ((-16)/(-6))/(161/(-483)). -8 What is the value of ((-20)/7)/(1/(-56)*-16)? -10 What is the value of 7/((-33)/((-2376)/126))? 4 -2*((-1)/(-4))/((987/462)/47) -11 What is the value of (1230/328)/(10/48)? 18 Evaluate (((-561)/12)/(-11))/(4/(-16)). -17 What is (-24)/38*21090/(-1665)? 8 (-1)/(2150/225*27/12) -2/43 (-8)/2*(8075/(-304))/25 17/4 (4/(-39))/((-2536)/(-951)) -1/26 What is the value of ((-915)/1281)/((3/((-15)/5))/1)? 5/7 Evaluate (((-63)/(-14))/(-3))/((-966)/(-552)). -6/7 Evaluate 20/(-480)*-40*6/(-5). -2 What is (-18)/105*2*(-4)/(80/70)? 6/5 (-636)/(-1378)*(-1)/(-6) 1/13 What is the value of ((-155)/620)/(((-27)/240)/((-3)/(-4)))? 5/3 What is the value of (21/42)/(((-9)/(-3))/(-48))? -8 Evaluate (-30)/60*3/4*(-96)/(-90). -2/5 Evaluate (6/(-4))/(((-14)/(-21))/(2/9)). -1/2 What is ((752/128)/47)/(-1)? -1/8 Evaluate -2*(-52)/8*-1. -13 (39*(-5)/(-30))/(3/(6/1)) 13 1/(4/15)*26/91*-14 -15 (99/55)/(((-1)/(-40))/((-7)/42)) -12 (960/(-240))/((-4)/3) 3 (1*(-12)/(-2142)*6)/(12/(-14)) -2/51 What is the value of 31/((-2325)/(-2125))*(84/(-10))/(-7)? 34 Evaluate (-14)/(168/(-90))*4/168*7. 5/4 What is (17629/7259)/(2/(-14))? -17 What is (-4)/(-52)*-1*(-18)/
{ "pile_set_name": "DM Mathematics" }
seventy-four fifths of a meter? 1480 How many micrometers are there in 7515.531 centimeters? 75155310 What is 0.5313645 nanograms in kilograms? 0.0000000000005313645 Convert 457.5582mg to grams. 0.4575582 What is 4.996193 milligrams in kilograms? 0.000004996193 Convert 29557.8 millilitres to litres. 29.5578 What is 3/5 of a millennium in decades? 60 What is 3/25 of a milligram in micrograms? 120 What is 44/5 of a millennium in centuries? 88 Convert 13.89986t to grams. 13899860 How many micrometers are there in three sixteenths of a centimeter? 1875 Convert 877.0183l to millilitres. 877018.3 Convert 2.125653 litres to millilitres. 2125.653 What is 2.6 millilitres in litres? 0.0026 How many seconds are there in 262948.3 minutes? 15776898 What is 4/3 of a decade in months? 160 What is seven halves of a centimeter in millimeters? 35 Convert 9133.882t to grams. 9133882000 What is three eighths of a litre in millilitres? 375 What is three fifths of a gram in milligrams? 600 How many millilitres are there in 22.9918 litres? 22991.8 What is 53/5 of a gram in milligrams? 10600 Convert 0.7787359 nanometers to meters. 0.0000000007787359 What is 192.0421 decades in years? 1920.421 What is 5244.29mm in centimeters? 524.429 How many centimeters are there in 5192.562nm? 0.0005192562 What is two fifteenths of a hour in seconds? 480 What is 8835259.5 seconds in hours? 2454.23875 What is 179054.5 weeks in microseconds? 108292161600000000 What is 21/4 of a gram in milligrams? 5250 How many micrometers are there in 845.693 centimeters? 8456930 How many kilometers are there in 985430.9m? 985.4309 How many kilograms are there in 34/5 of a tonne? 6800 How many minutes are there in 5/4 of a week? 12600 What is 81.50365 decades in years? 815.0365 Convert 9449.609 micrograms to nanograms. 9449609 How many kilograms are there in 342.93t? 342930 How many grams are there in twenty-one fifths of a kilogram? 4200 How many millilitres are there in one fifth of a litre? 200 Convert 87402.03ml to litres. 87.40203 How many nanoseconds are there in 9.732215 days? 840863376000000 What is 3.760793 minutes in seconds? 225.64758 What is 6962.992m in kilometers? 6.962992 Convert 11.116575 hours to days. 0.463190625 How many years are there in 27/2 of a century? 1350 What is 3/10 of a milligram in micrograms? 300 Convert 2486.23 litres to millilitres. 2486230 Convert 0.4776988 nanograms to tonnes. 0.0000000000000004776988 What is 1/10 of a minute in seconds? 6 How many centimeters are there in 1.289613 micrometers? 0.0001289613 How many micrometers are there in seven halves of a centimeter? 35000 What is 978.649 litres in millilitres? 978649 What is 7/2 of a litre in millilitres? 3500 How many millilitres are there in 5/4 of a litre? 1250 How many millennia are there in 22.4439 decades? 0.224439 Convert 181902.2 milliseconds to microseconds. 181902200 How many centimeters are there in 32.59094km? 3259094 What is twenty-five halves of a hour in seconds? 45000 What is 21733.503ns in minutes? 0.00000036222505 How many grams are there in 31/5 of a kilogram? 6200 How many milliseconds are there in 3/40 of a second? 75 What is 26/5 of a litre in millilitres? 5200 What is 2257.215s in minutes? 37.62025 What is 29/5 of a litre in millilitres? 5800 What is 88530.72 tonnes in milligrams? 88530720000000 What is twelve sevenths of a week in hours? 288 Convert 0.9240893 minutes to nanoseconds. 55445358000 What is 8986.228 decades in millennia? 89.86228 What is 3/25 of a gram in milligrams? 120 Convert 0.6482019 kilograms to grams. 648.2019 What is one sixteenth of a week in seconds? 37800 How many micrometers are there in one tenth of a meter? 100000 What is sixty-four fifths of a microsecond in nanoseconds? 12800 Convert 27.09706 nanometers to meters. 0.00000002709706 Convert 0.1791055m to kilometers. 0.0001791055 What is 7/2 of a centimeter in millimeters? 35 What is 7.028893kg in tonnes? 0.007028893 How many years are there in fifty-four fifths of a millennium? 10800 How many meters are there in 750994.5km? 750994500 Convert 624744.5ml to litres. 624.7445 How many kilograms are there in 523447.1g? 523.4471 What is 26/5 of a century in months? 6240 What is 818.0905mm in kilometers? 0.0008180905 What is one tenth of a centimeter in millimeters? 1 How many micrograms are there in 18/5 of a milligram? 3600 What is thirteen quarters of a meter in millimeters? 3250 How many years are there in twenty-one halves of a decade? 105 How many millilitres are there in 27/5 of a litre? 5400 How many kilograms are there in 3/10 of a tonne? 300 How many litres are there in 40.218 millilitres? 0.040218 Convert 0.523379 milligrams to grams. 0.000523379 What is 1/4 of a litre in millilitres? 250 How many kilograms are there in 49/4 of a tonne? 12250 What is 0.7695305 kilometers in micrometers? 769530500 What is 0.1757359mm in micrometers? 175.7359 How many microseconds are there in 29.59061 hours? 106526196000 What is one eighteenth of a week in minutes? 560 How many months are there in three tenths of a millennium? 3600 How many seconds are there in three fifths of a minute? 36 Convert 0.73689m to nanometers. 736890000 What is 1.640366 kilograms in nanograms? 1640366000000 How many millilitres are there in sixty-four fifths of a litre? 12800 What is 0.1754202ml in litres? 0.0001754202 How many months are there in 55/3 of a decade? 2200 What is 1/30 of a decade in months? 4 What is 52/5 of a meter in centimeters? 1040 Convert 52.935372ns to hours. 0.00000000001470427 How many litres are there in 3.47695ml? 0.00347695 Convert 5701.51km to millimeters. 5701510000 What is 6768.672 weeks in minutes? 68228213.76 Convert 73.79231g to tonnes. 0.00007379231 What is 86036.77ug in grams? 0.08603677 How many grams are there in 0.4097521 kilograms? 409.7521 How many months are there in eighteen fifths of a century? 4320 What is seventeen halves of a week in minutes? 85680 How many millilitres are there in 7/2 of a litre? 3500 How many grams are there in 64.39407ng? 0.00000006439407 How many hours are there in 353859.57 nanoseconds? 0.000000098294325 How many grams are there in 0.4683002 micrograms? 0.0000004683002 How many millilitres are there in 52.5512l? 52551.2 Convert 0.5265485kg to nanograms. 526548500000 How many years are there in eleven quarters of a millennium? 2750 Convert 787099.5kg to tonnes. 787.0995 What is 51724.71 milliseconds in days? 0.000598665625 How many centimeters are there in 55/4 of a meter? 1375 Convert 83.07357us to minutes. 0.0000013845595 How many years are there in one tenth of a decade? 1 What is fifty-seven fifths of a millennium in decades? 1140 What is 425317.8 meters in nanometers? 425317800000000 Convert 2442.50964us to days. 0.0000000282697875 How many centuries are there in 255636.5 decades? 25563.65 Convert 31089.81m to kilometers. 31.08981 What is 3/5 of a century in months? 720 How many milligrams are there in 2/125 of a gram? 16 What is 886.229 milligrams in kilograms? 0.000886229 What is 70.74623 kilometers in meters? 70746.23 How many millilitres are there in 2548.415 litres? 2548415 What is 76.1778us in hours? 0.0000000211605 How many grams are there in 731843.2mg? 731.8432 How many seconds are there in 1/15 of a day? 5760 How many centimeters are there in 5/4 of a meter? 125 What is 13/8 of a kilometer in meters? 1625 What is seven halves of a decade in years? 35 What is 3/25 of a gram in milligrams? 120 Convert 0.1309855ug to milligrams. 0.0001309855 Convert 0.5334475 millennia to months. 6401.37 How many months are there in 7692.3 years? 92307.6 What is 0.8969137ml in litres? 0.0008969137 What is eleven tenths of a millimeter in micrometers? 1100 Convert 66.8747l to millilitres. 66874.7 How many grams are there in 90.08933 kilograms? 90089.33 Convert 7.019236m to micrometers. 7019236 Convert 707484.6g to tonnes. 0.7074846 What is 37/2 of a tonne in kilograms? 18500 How many millilitres are there in seven eighths of a litre? 875 Convert 753.091 millennia to years. 753091 How many nanograms are there in 27/2 of a microgram? 13500 How many millilitres are there in 37/5 of a litre? 7400 How many centimeters are there in one tenth of a meter? 10 Convert 4817.415s to minutes. 80
{ "pile_set_name": "DM Mathematics" }
iple of 2 and c(-8). 16 What is the lowest common multiple of 22 and (60/9)/((-2)/(-6))? 220 Let r = -25/51 + -299/153. Suppose 4*f - 76 = o, 2*f - 2*o = -3*f + 92. What is the common denominator of r and 7 + -4 - (-28)/f? 45 Let v(y) = -3*y**2 + 2*y**2 + 3*y + 4 + 0*y. Let u be v(4). Suppose 2*r = -2, -3*n + u*n + 25 = -r. What is the least common multiple of n and 2? 8 Let u = -15 - -11. Find the common denominator of (71/u)/(5/(-2)) and 101/12. 60 Find the common denominator of 5/(-20)*2 - (-303)/54 and 4/11. 99 Let g = -8 + 22. Calculate the common denominator of -87/4 and ((-6)/20)/(1/g). 20 Suppose 0 = 2*d + 5*g + 26, d + 4*g + 7 = 4*d. Let k be (0 - (1 + d)) + 1. Let b = k + -1. Calculate the least common multiple of b and 10. 10 Let y(h) = -h**2 + 11*h - 15. Let n be -3 - (-4 - -2) - -10. Suppose a + 3*a + 13 = 3*j, 5*a = j - 8. Calculate the lowest common multiple of j and y(n). 3 Let w = -12/59 + -837/236. Find the common denominator of 23/8 and w. 8 Suppose 0*m - 5*m = -285. What is the smallest common multiple of m and 3? 57 Suppose 5*q + 0*q - 40 = 0. Suppose 0*f = -4*f - 24. Calculate the common denominator of -13/5 and (86/f)/(q/12). 10 Suppose 0*k = 3*k - 9. Find the common denominator of 39/5 and k - (2 + 16/(-6)). 15 Suppose -10 = 4*m + 5*n + 74, -3*m - 4*n = 63. Find the common denominator of m/(-5)*1/3 and -89/8. 40 Let z(d) = d**2 - d. Let a be z(2). Suppose -a*h + 8 = -0*h. What is the least common multiple of h and 3? 12 Suppose 6 = 5*a - 49. Suppose 3*s + 38 - a = 0. What is the smallest common multiple of (24/s)/((-2)/6) and 2? 8 Let h be (1/(-5))/((-14)/(-791155)). Let w be 0 - (-1*11295 + -2). Let d = w + h. Find the common denominator of d and -3/16. 112 Find the common denominator of 23/8 and 89/(-1 + (6 - 3)). 8 Find the common denominator of 51*3/24 + 1 and (-5)/3*54/(-16). 8 Calculate the common denominator of (236/10)/((-36)/(-30)) and -83/21. 21 Let c(u) = 5*u**2 - 3*u - 6. What is the smallest common multiple of 12 and c(-2)? 60 Suppose -2 = 3*f - 2*f. Let l be ((0 - f)/(-2))/(-431). Let a = l + -22415/1293. Calculate the common denominator of a and 23/7. 21 Let v = -18795/2 + 10000. Suppose 4*c = -3*f - 1803 - 107, -4*f - 2*c - 2550 = 0. Let l = f + v. Find the common denominator of -53/14 and l. 14 Let t = 1279/12 + -338/3. Find the common denominator of -1/4 and t. 12 Suppose -2*f = 3*f - 25. What is the common denominator of -19/2 and f/15 - 831/36? 4 Let o = 34 - -8. Calculate the least common multiple of o and 21. 42 Let a = 56/101 + 3223/2020. What is the common denominator of -115/28 and a? 140 Calculate the common denominator of -2 + ((-1428)/64)/(-7) and (7/(-3))/((-24)/68). 144 Suppose -128 = a - 32. What is the common denominator of 1438/120 - 4/10 and -3 + 4/(a/76)? 12 Suppose 0*a = 3*a - 30. Let c be 9 + (-5 + 0 - -3). Suppose 0 - c = -y. What is the least common multiple of a and y? 70 Find the common denominator of 59/9 and 74/(-27)*(-2)/(-4). 27 Let a = -43/3 + 38. Find the common denominator of a and -11/30. 30 Let p(q) be the second derivative of -q**5/20 - 5*q**4/6 - 11*q**3/6 - q**2 + 4*q. Let f = -1 + 3. What is the lowest common multiple of f and p(-9)? 16 Let u = -5 + 21. What is the least common multiple of (0 - 14/3)/(10/(-30)) and u? 112 Let z = -247463/18 + 13744. Calculate the common denominator of z and -125/18. 18 Let s = 839/154 + -100/11. Let i be 85195/(-24) - 2/(-3). Let r = -3558 - i. Find the common denominator of r and s. 56 Let b be (-8)/4 - 2/(-1). Suppose -5*x - 1 + 11 = b. What is the common denominator of x + 37*3/(-6) and 101/6? 6 What is the common denominator of -42 and (-2 - 16/(-7))/(8/(-236))? 7 Let k = -22 - -37. Let x = 22 - k. Calculate the smallest common multiple of 2 and x. 14 Suppose 6*d - 3*d = -25380. Let j = d + 118501/14. Find the common denominator of j and -5/4. 28 Suppose -f + 2 = -0. Let o(l) = -7*l - 48. Calculate the smallest common multiple of f and o(-7). 2 Let b be 4 + (-2 - 3/(-1)). Suppose -3*w + 10 + b = 0. Calculate the lowest common multiple of w and 5. 5 Let a(z) be the second derivative of z**3/6 + 3*z**2 - 3*z. What is the least common multiple of 8 and a(5)? 88 Let f be (862/(-274))/((-1224)/(-2248)). Let w be -1 + -2 + 41920/13974. Let v = f - w. Find the common denominator of 16/11 and v. 99 Let v(j) = -50*j + 12. Let h be v(11). Calculate the common denominator of 17/18 and 7/(-28) + h/(-24). 18 Find the common denominator of 11/(-66) + (-290)/6 and 63/34. 34 Let k = 44495/18 + -2477. Let z = -1085135/99784 - 2/12473. Find the common denominator of z and k. 72 Let t = -3/1466 - -45479/16126. Calculate the common denominator of -1/4 and t. 44 Suppose 0 = 2*t - 3*t + 3. Let j = 4 - 1. Suppose 4*c + 35 = 2*u + t*u, 14 = 2*u + j*c. Calculate the lowest common multiple of u and 5. 35 Suppose 3*b + 13 = b + 5*o, 4*b - o = 1. What is the smallest common multiple of b*(-4 + 2) - -22 and 14? 140 Let l be ((-4)/7)/((-18)/63). Suppose 2*d = 6*d - 16, l*i = 2*d - 4. What is the lowest common multiple of i and 44? 44 Suppose -4 = q + 4*h - 5, 5 = 5*q + 4*h. Let z(x) = -10*x**3 - 1. Calculate the smallest common multiple of z(-1) and q. 9 Suppose -4 = -2*u, 2*u + 64 = 5*p - u. What is the least common multiple of 80 and p? 560 Let v = -53347527/91 - -586248. Let l = v - 80/13. Calculate the common denominator of l and -47/5. 35 Let a = 1899/1352 - 5/169. What is the common denominator of 5210/1120 + 4/14 and a? 16 Let x = 6367/510 - -4/255. Find the common denominator of x and 13/6. 6 Find the common denominator of 1162/288 - (-12)/(-54) and 85/8. 16 Suppose 0 = 2*q - 3*w - 7, -5 + 19 = 2*q + 4*w. What is the lowest common multiple of 5/3*12/2 and q? 10 Let g = -59 - -68. What is the lowest common multiple of g and 9? 9 Let g(h) = h - 3. Let z be g(7). Suppose -5*u + z*u + 20 = 0. Calculate the smallest common multiple of 10 and u. 20 Suppose -f - 3*b = b - 24, f - 4*b + 8 = 0. What is the lowest common multiple of f and 6? 24 Let k = 61 + -56. Calculate the lowest common multiple of 4 and k. 20 Suppose -4*b - 23 + 7 = 0. Calculate the common denominator of (-2)/6 - (-74)/b and ((-2)/(-8) + 1)*790/25. 6 Calculate the smallest common multiple of 11 and (-1146)/(-57) - (-2)/(-19). 220 Let t = 3/4028 + -191339/12084. Let y be (-12 - -9) + (-1 - -1356). Let w = 5507/4 - y. What is the common denominator of w and t? 12 Suppose -4*p + 8 = -0*p. Find the common denominator of (-224)/12*1/p and 65/4. 12 Let s be (-5388)/(-7) - (-2)/7. What is the common denominator of 69/(-4) - (-1)/1 and (-3)/(-15)*s/24? 12 Suppose 4*h + 5*i + 20 = -h, -4*i = 3*h + 15. Let d = h - -2. Calculate the lowest common multiple of d and (-1)/((-2)/(-1))*-12. 6 Let f(g) = g**2 - 2. Calculate the smallest common multiple of 14 and f(4). 14 Suppose -4*y - 94 - 38 = 0. Let q = -19 - y. Calculate the lowest common multiple of (-5 + 3)*-1 - -4 and q. 42 Let w be -1*(3 - (2 + 1)). Let d(s) = s**2 + 1. Let q be d(-1). Suppose -t + 1 = -2*v + 9, -3*v - q*t + 5 = w. Calculate the lowest common multiple of 7 and v. 21 Let c(a) = a + 10. Let z be c(-7). Suppose 0 = 3*w + 3*m - 15, 0 = w - 6*w - z*m + 15. Suppose w*s + 36 = 3*s. What is the lowest common multiple of s and 1? 12 Let i(q) = 4*q. Let h(o) = 7*o. Let a(c) = 3*h(c) - 5*i(c). Let d = 11 + -7. Calculate the smallest common multiple of a(2) and d. 4 Suppose m + x = 1, 3*m + 3*x + x = 0. Let p = 33 + -18. Suppose 2*h - m*d - p = 3*h, -2*d = 2*h. What is the least common multiple of h and 7? 35 Let h = 19 - 17. Let u(r) = -7*r**3 + 1. What is the least common multiple of u(-1) and h? 8 Let l = -3329/186 - 91/31. What is the common denominator of -25/12 and l? 12 Let v = -1055924/11 + 95920. Let m = -10915837/22 + 496291. Let x = v + m. Calculate the common denominator of x and 1/22. 22 Suppose 36 = x + 3. Calculate the lowest common multiple of x and 24. 264 Let v(i) = -i**3 + 2*i**2 - 1. Let k be v(1). Suppose -l = 3*l - 44. Calculate the lowest common multiple of (-9)/4*(-4 - k) and l. 99 Let b = 11078/5 - 2227. What is the common denominator of b and 63/8? 40 Suppose 30*y = 19*y + 99. Calculate the smallest common multiple of y and 6. 18 Let z(j) = 2*j - 2. Suppose -26 = -7*n + 23. Calculate the least common multiple of z
{ "pile_set_name": "DM Mathematics" }
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