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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
{ "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
{ "pile_set_name": "DM Mathematics" }
+ 73 = -0*m - 7*m + 5*m for m. 4 Solve 0 = -6*x - 27*p + 276, 73*p - 72*p = 4*x - 146 for x. 37 Solve 6*n + 2828 = 5*z + 3287, -2*z - n = 187 for z. -93 Solve 14*b = -b + h - 58, 5*b + 40 = -5*h + 10 for b. -4 Solve 9*d - 537 = 3*l, -d = 5*l - 1560 + 1511 for l. -2 Solve 4*h + 2*t + 0*t - 4*t = -0*t - 38, -43*t = -46*t - 3 for h. -10 Solve 5*l - 10*f - 2976 + 3071 = 0, -2*l - 3*f = -11 for l. -5 Solve -3*s - 217*i - 22 = -215*i - 4, -10*s - 49*i - 60 = -51*i for s. -6 Solve 18*a + 5*q = 23*a + 30, 0 = -7*a + q - 36 - 18 for a. -8 Solve 3*i - 6*i - q = -6, 6*i + 52*q = 10*q + 38 + 94 for i. 1 Solve -3*h - 7001 + 7102 = -o, 3*o - 5*h + 194 = -89 for o. -86 Solve 4*r = 7*r - 132, -355*q - 5*r + 98 = -351*q - 122 for q. 0 Solve -4*n - 195 = -3*n + 5*i, -129 = 697*n - 694*n + 3*i for n. -5 Solve 5*d - 27 = 4*r, r - 10*r + 10*d - 39 = 6*d for r. -3 Solve -3*s - 29*a + 10*a = -17*a + 28, 0 = -2*s - 5*a - 26 for s. -8 Solve 5*g + 0*g + j - 2 = -17, -70*g + 68*g = 2*j + 6 for g. -3 Solve -o + 4402*r + 6 = 4401*r, -30 = -5*o + 6*r for o. 6 Solve -93 = -u + 3404*t - 3402*t, 2*u + 10*t + 302 = -142 for u. 3 Solve -2*j = -9*j + 2*i + 302 - 19, 2*j + 4*i - 22*i = 168 for j. 39 Solve -5*v + 0*v - 230 = 0, -17*m = v - 3 - 2 for m. 3 Solve 35 = 3*g - k, 20 = 4*g + 133*k - 129*k for g. 10 Solve -3*r - 5*z - 4 = 0, 50891*z - 50894*z + 8 = -r + 2 for r. -3 Solve -124*l + u = -127*l + 15, -5 = 2*l - u for l. 2 Solve -3*q - 419 = -5*x - 0*q - 352, 5*q = -126*x - 246 for x. -1 Solve -5089032*l = 5*t - 5089027*l + 60, 2*t - 5*l + 6 - 40 - 19 = 0 for t. -1 Solve -40*q - 42 = 3*y - 46*q, 6*y - 8*y - 4*q = -12 for y. -4 Solve y + 3 = 8196*b - 8194*b, b - 2*y = 6 for b. 0 Solve 5*t = 154*z - 123*z - 377, -4*z - 4*t = -44 for z. 12 Solve s = -2*t - 3*t - 56, 5*t + 456*s + 274*s = -785 for t. -11 Solve f - 2 = -2*u, -5*u = -5*f - 37080 + 37150 for f. 10 Solve 0*z + 5*t = -3*z + 50, -4*z - 3*t + 16 = -20 - 5 for z. 5 Solve -375 + 527 = 4*l - 4*y, -5*y + 190 = 5*l for l. 38 Solve 2*d - 802 = -6*t - 1180, -t - 63 = -5*d for t. -63 Solve -2*c + 7 = i, 4*i = 4*c - 2715 + 2707 for i. 1 Solve q - 2*q + 57*o - 60*o + 91 = 70, -5*q + 40 = 2*o for q. 6 Solve 40 = -12*u - 8, 0 = 183*r - 186*r + 2*u + 2 for r. -2 Solve -1828*z + 1812*z - 298 = -5*f, 0 = 3*f - 6 - 0 for z. -18 Solve -2*p + 16*s - 3 + 9 = 0, 2*s = 3*p - 7*p - 2*s - 60 for p. -13 Solve 0 = -3*f - 3*p + 9, -1916*p = 4*f - 1920*p - 20 for f. 4 Solve 4*f + 2*s + 22479 = 22575, 3*f - 21*s - 27 = 0 for f. 23 Solve n - 4 = -8*x + 5*x, 5*x - 103*n + 101*n + 5 = -3 for x. 0 Solve -13*r + 28616*n - 28612*n - 176 = 0, -43 = -298*r + 301*r - n for r. -4 Solve 4*b + 35*m - 1229 = 0, 104*b - 212*b = -105*b + 4*m - 143 for b. 1 Solve j - 12 - 363 = 5*i - 37, j = 3*i + 202 for i. -68 Solve -3*d + 32 = -4*r, 55*r - 26*r + 3*d = 28*r - 1 + 8 for r. -5 Solve 12*q - 214 = 5*u, -39*u - 17 - 647 = 2*q + 814 for q. 2 Solve -6 = -h + i, -4*i = -13*h - 1982125 + 1982131 for h. -2 Solve 0 = 123291*b - 123286*b + 7*o - 5, -4*o = 0 for b. 1 Solve -13*c = 3*d - 9*c - 9*c + 137, -d + 5*d + 186 = 5*c for d. -49 Solve -2*i + 226 - 83 = -l, -3*i - 2*l = -163 - 62 for i. 73 Solve 0 = -3*a + d - 22, -10*a + 38 = 2*a - 102*d + 35*d for a. -8 Solve d + 4*d = l + 32, 0 = 4*l - 26*d - 1095 + 1229 for l. -27 Solve 64*s + 286 = -2*w - 141 + 37, 3*w = -5*s - 39 for w. -3 Solve -86*v + 82*v + j - 6 = -0*j, -2*v = -5*j + 102 for v. 4 Solve -w + 7*i + i - 7*i = -5*w, 27*w + 2*i - 76 = 0 for w. 4 Solve 19 + 68 = 25*a - 2*p, 391*a - 387*a + 4*p - 18 = 5*p for a. 3 Solve 0 = -11*i - 44, -3*i + 0*i + 22 = 516*o - 514*o - 0*i for o. 17 Solve 0 = 3*r + 34*x - 31*x - 18 - 12, 95*r - 562 = 2*x for r. 6 Solve -5*z = v + 7, -3*z + 5*v + 110 = 2*z + 19*v + 26*v for z. -2 Solve 3*q - 3*a = 48, -29854*q - 8*a - 29
{ "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
{ "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
{ "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
{ "pile_set_name": "DM Mathematics" }
). 7 Let o(g) be the third derivative of -g**4/12 + g**3/2 + 20*g**2. Suppose -b - 2*b - 2 = 5*y, y - 18 = 4*b. Determine o(y). -1 Let l(f) = -f**3 + 2*f**2 + 2*f - 3. Let j be 2/(-1)*(-3)/2. Let o be l(j). Let c(r) = -r + 4. Let m(q) = -2*q + 5. Let g(u) = o*c(u) + 5*m(u). Determine g(1). -3 Let w(r) = 6*r**2 + r - 1. Let f = -7 - -13. Let b = f - 9. Let v = -2 - b. Calculate w(v). 6 Let j = 15 + -18. Let y(x) = 2*x. Give y(j). -6 Let b(n) be the third derivative of 0*n**3 + 0 - 1/24*n**5 + 0*n + 1/12*n**4 + 1/720*n**6 + n**2. Let g(v) be the second derivative of b(v). Determine g(4). -1 Let o be 4*(-2)/(16/(-12)). Let a(s) = -s + 8. What is a(o)? 2 Let l(n) = 3*n**2 - 5 - 4*n**2 + 0*n**2 + 1 + 8*n. Give l(8). -4 Let y = 7 + -4. Let b(r) be the first derivative of -r**2 + r - 195. What is b(y)? -5 Let u(s) be the first derivative of -s**4/4 + 5*s**3/3 + 7*s - 9. Calculate u(5). 7 Let b(z) = z - 4. Let h be b(-3). Let g(r) = 2*r - 2. Calculate g(h). -16 Let l(a) = -2*a - 2. Suppose -t = -w + 1, 2*w + 30 + 3 = -5*t. Determine l(t). 8 Let v(n) = 0*n**3 - n - 3*n**3 + 2 + 4*n**3 + 0*n. Let b(w) = 1 + 3*w**3 - 6*w**3 + 3*w - 7. Let i(l) = 6*b(l) + 17*v(l). Give i(-2). 4 Let y(o) = o**2 + 7*o - 11. Let m be y(-8). Let n be 1 - (m + (4 - 0)). Let x(z) = z**3 - z**2 - 4. Calculate x(n). -4 Let a(u) be the second derivative of -2*u + 1/2*u**2 + 0 + 7/6*u**3. Give a(-1). -6 Suppose -t + 4*t - 4*g + 93 = 0, 0 = 5*g - 15. Let y = t + 28. Let o(i) = -5*i - 1. Calculate o(y). -6 Let z be (2 + -2 - 1)*2. Let l be z/(-6)*-1*3. Let w(s) = -s - 4. Let q(f) = -4*f - 11. Let j(n) = -3*q(n) + 8*w(n). What is j(l)? -3 Suppose 2*a + 12 = 4*a. Let o(y) = y**3 - 9*y**2 - y + 3. Let t(c) = -c**3 + 10*c**2 + 2*c - 4. Let u(k) = a*o(k) + 5*t(k). Determine u(3). 1 Let a = -2 + -2. Let z(k) = -k**3 - 3*k**2 + k - 4. Determine z(a). 8 Let p = 9 - 1. Let n(j) = -5 - 2 + 5 - 7*j**2 + p*j + 8. Let c(f) = f**2 - f - 1. Let y(r) = -6*c(r) - n(r). Determine y(4). 8 Let m(z) be the second derivative of z**7/840 - z**6/180 - z**5/120 + z**3/2 + 2*z. Let b(f) be the second derivative of m(f). Calculate b(-1). -2 Let w(y) = -10*y**2 - y + 1. Let x(t) = -t**3 + 17*t**2 + 17*t + 19. Let r be x(18). What is w(r)? -10 Suppose 5*n - 4 = -4*i - 12, i - 4*n - 19 = 0. Let o(y) be the second derivative of -y**4/12 + y**3/3 - 3*y**2/2 - y. What is o(i)? -6 Let w(y) = -3*y**2 + 3*y. Let n be 5/(2 + 4/8). What is w(n)? -6 Let n(q) = -26*q**3 + 9*q**2 - 7*q. Let j(c) = -13*c**3 + 4*c**2 - 3*c. Let h(f) = -5*j(f) + 2*n(f). Determine h(1). 12 Let r = -1 + 5. Let j(o) be the first derivative of -2/3*o**3 + 3*o**2 - o + 1. Calculate j(r). -9 Suppose -4*x - 3*m = -0*x - 4, 4*x - 24 = 2*m. Let w(g) = 2*g**3 - x*g**2 - g**3 - g + 0*g - 1 - 6*g. What is w(5)? -11 Let p(g) = -2*g**2 + g. Suppose 2*z + 5*a = -z - 26, 0 = 2*z - 3*a + 11. Let r(x) = x + 9. Let k be r(z). Suppose -m = -0 - k. Calculate p(m). -6 Let o(s) be the second derivative of -3/2*s**2 - 2*s - 1/3*s**3 + 0. Calculate o(-4). 5 Let c(a) = -a**3 + a**2 + 1. Let n(f) = f + 6*f - 8*f**2 - f**3 + 4*f**3 + 16 - 14. Let w(h) = 4*c(h) + n(h). Give w(-5). -4 Let o(n) = n**3 + 5*n**2 + 3*n - 2. Let s be o(-4). Let h(v) = -2*v + v**2 - 5*v - 5*v**s + 2 + 2*v**2. Calculate h(-5). -13 Suppose -2*h = 54 - 6. Let g = 22 + h. Let z(f) = -2*f**2 + f + 1. Give z(g). -9 Let p(a) = -a + 3*a - a + 4*a. What is p(-1)? -5 Let h(i) be the second derivative of 1/12*i**4 - 5/6*i**3 + 3/2*i**2 + 0 - i. Let m = -3 - -6. What is h(m)? -3 Let r = -4 - -8. Let i be (-12 + r)*(-2)/(-4). Let p(d) = d**2 + 6*d + 6. What is p(i)? -2 Suppose 4*t - 2 = 2*x, x + t = -0 - 4. Let k(j) = -j - 6. Let l(m) = -5*m - 25. Let q(w) = 9*k(w) - 2*l(w). Determine q(x). -7 Let b(j) be the second derivative of 2/3*j**3 + 1/2*j**2 + 0 + 1/12*j**4 - 3*j. What is b(-5)? 6 Let r(b) = b - 1. Suppose 3*p = -p. Calculate r(p). -1 Let d(
{ "pile_set_name": "DM Mathematics" }
ms in 72*z + 56*z + 10*z. 138*z Collect the terms in 142*o + 140*o + 132*o - 684*o + 133*o + 138*o. o Collect the terms in 112*b**2 - 14 - 58*b**2 - 56*b**2 + 14. -2*b**2 Collect the terms in -85145 + 10*t**3 + 12*t**3 + 85145. 22*t**3 Collect the terms in -3*g - 18*g**2 + 2346 + 2348 - 4694. -18*g**2 - 3*g Collect the terms in -14*f - 17*f - 45*f**2 - 23*f + 54*f + 66*f**2. 21*f**2 Collect the terms in -718*q**3 + 356*q**3 + 360*q**3. -2*q**3 Collect the terms in 363501*t**3 - 726983*t**3 + 363477*t**3. -5*t**3 Collect the terms in -3719*y**3 - 20959*y**3 - 10922*y**3 - 14801*y**3. -50401*y**3 Collect the terms in 3 - 30*x + 7*x - 84*x - 266*x. -373*x + 3 Collect the terms in -128 - 112 + 247 - 24*k - 21*k. -45*k + 7 Collect the terms in -158*r + 447494878 - 447494878. -158*r Collect the terms in 439*p**3 - 159*p**3 - 276*p**3. 4*p**3 Collect the terms in 6*a**3 - 1746*a**2 + 5248*a**2 - 1751*a**2 - 1751*a**2 - a**3. 5*a**3 Collect the terms in -232*y**2 + 87*y - 87*y + 1039*y**2. 807*y**2 Collect the terms in -721*i + 324*i + 615*i. 218*i Collect the terms in 16 - 9 - 7 - 77*q + 145*q. 68*q Collect the terms in 49*f**2 - 22*f**2 + 244*f**2 + 4*f. 271*f**2 + 4*f Collect the terms in -2 + 2 + 37*n**2 + 30*n**2 - 74*n**2. -7*n**2 Collect the terms in 7*l + 12*l - 6*l + 284. 13*l + 284 Collect the terms in 2145 - 97*p**2 - 2145. -97*p**2 Collect the terms in 3*v**3 - 33*v**3 - 38*v**3 - 31*v**3. -99*v**3 Collect the terms in -20840*p + 41493*p + 4*p**3 - 20653*p. 4*p**3 Collect the terms in 539*q**3 - 5*q**2 + 5*q**2 - 278*q**3 - 264*q**3. -3*q**3 Collect the terms in 33*f - 1 + 28*f - 122*f. -61*f - 1 Collect the terms in -25 + 27*c + 152*c**2 + 98*c**2 - 84*c**2. 166*c**2 + 27*c - 25 Collect the terms in -8392*a + 6 - 6 + 8229*a. -163*a Collect the terms in -11 - 9*u + 37 + 30*u - 9*u - 10*u. 2*u + 26 Collect the terms in -27*a - 4*a + 112*a**2 + 31*a. 112*a**2 Collect the terms in 223*j**3 - 62*j**3 - 81*j**3 - 75*j**3. 5*j**3 Collect the terms in -459*z**3 + 1428*z**3 - 489*z**3 - 479*z**3. z**3 Collect the terms in -1437 + 1437 + 8937*q**2 - 8956*q**2. -19*q**2 Collect the terms in 3*z - z - 3*z + 331. -z + 331 Collect the terms in -312 + 312 - 16673*x**2. -16673*x**2 Collect the terms in 1412*l + 172*l**3 - 1412*l + 179*l**3 - 346*l**3. 5*l**3 Collect the terms in 183*c**2 - 26*c**2 - 38*c**2 - 59*c**2 - 39*c**2. 21*c**2 Collect the terms in -114*k - 27 + 19 + 96*k + 8. -18*k Collect the terms in -20*h + 92*h + 13*h + 16*h + 80*h. 181*h Collect the terms in 58*r**2 + 67*r**2 + 70*r**2 + 18 - 196*r**2. -r**2 + 18 Collect the terms in -r**2 + 5*r + 362 + 2*r - 7*r. -r**2 + 362 Collect the terms in -31 - 4546*o - 35 + 97 + 4552*o - 31. 6*o Collect the terms in -19*p + 6*p + 3*p. -10*p Collect the terms in 3*g**2 - 4*g**2 - 6981*g - 2*g**2. -3*g**2 - 6981*g Collect the terms in 73 - 218 + 68 + 71 - 22*u. -22*u - 6 Collect the terms in 17*t + 14*t - 42*t + 7*t + 8*t. 4*t Collect the terms in 479 + 15*y - 8*y - 5097 - 5*y. 2*y - 4618 Collect the terms in -7200*h + 3650*h + 3559*h. 9*h Collect the terms in b**3 - 34798*b + 0*b**3 + 34798*b. b**3 Collect the terms in 107*q + 144*q - 96*q + 1. 155*q + 1 Collect the terms in 782*x**3 - 276*x**3 - 241*x**3 - 273*x**3. -8*x**3 Collect the terms in 2089*c**3 - 697*c**3 - 698*c**3 - 704*c**3. -10*c**3 Collect the terms in 69 - 69 + 4132*w. 4132*w Collect the terms in 102 - 16 - 13*v - 84. -13*v + 2 Collect the terms in 41*z**3 - 39*z**3 - 14*z**3. -12*z**3 Collect the terms in 1028*p**2 + 1048*p**2 + 1040*p**2 - 3117*p**2. -p**2 Collect the terms in -19*u - 131*u**2 + 19*u - 158*u**2. -289*u**2 Collect the terms in -3*t**2 - 116*t**3 + 11*t + 9*t**3 - 12*t. -107*t**3 - 3*t**2 - t Collect the terms in -107 - f**3 + 2*f**3 + 107 - 2*f**3 + 2*f**3. f**3 Collect the terms in -386 + 13*v - 393 - 395 + 1566 - 392. 13*v Collect the terms in -264 + 120 + 144 + 3*h**3 + 22*h. 3*h**3 + 22*h Collect the terms in -601*x**2 + 86*x + 932*x**2 - 329*x**2 - 86*x. 2*x**2 Collect the terms in 9*c - 34*c - 47*c. -72*c Collect the terms in -2212*r**2 - 2233*r**2 + 4454*r**2. 9*r**2 Collect the terms in 5489632 - 28*q**2 - 5489632. -28*q**2 Collect the terms in 4*o**2 + 0*o**2 - 3*o**2 - 348*o**3 + 5. -348*o**3 +
{ "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,
{ "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
{ "pile_set_name": "DM Mathematics" }
= -371 - 685 for s. 8 Solve 1149*b - 10 = 1139*b for b. 1 Solve -8*o - 11 = 5 for o. -2 Solve -5*d + 0*d - 3*d = 0 for d. 0 Solve -34*f + 17*f = -17 for f. 1 Solve 5*p = 11 - 21 for p. -2 Solve -7 = -3*q + 8 for q. 5 Solve -109*z = -129*z - 60 for z. -3 Solve -5 + 1 = -2*t for t. 2 Solve 0 = -27*o + 34*o for o. 0 Solve -7*v - 300 + 286 = 0 for v. -2 Solve 70*k = 102*k + 288 for k. -9 Solve 6*p = -29 + 35 for p. 1 Solve -13*l - 59 + 7 = 0 for l. -4 Solve 23*z + 72 = 5*z for z. -4 Solve -3*r + 8*r = 15 for r. 3 Solve 2567*x = 2589*x - 154 for x. 7 Solve -19*h + 27 = -11 for h. 2 Solve -4*a = 4*a + 40 for a. -5 Solve -32*c + 19*c - 65 = 0 for c. -5 Solve -2*p + p - 1 = 0 for p. -1 Solve 14*l + 250 = 166 for l. -6 Solve 56 = 15*o + 11 for o. 3 Solve -10 = 2*v - 8 for v. -1 Solve 10*c + 2946 = 2956 for c. 1 Solve 47*v - 196 = 19*v for v. 7 Solve 2*w - 84 + 88 = 0 for w. -2 Solve -43*f = -47*f + 16 for f. 4 Solve -10*g + 76 = 46 for g. 3 Solve -43 = 4*q - 55 for q. 3 Solve 0 = 9*o + 14 + 22 for o. -4 Solve -14*z + 10*z = 8 for z. -2 Solve 2*f + 1 = 3 for f. 1 Solve -17*r = 76 + 43 for r. -7 Solve 20 = -8*m + 3*m for m. -4 Solve -m - 6 = -3 for m. -3 Solve 0 = 25*x - 23*x + 8 for x. -4 Solve -46*x + 72 = -20 for x. 2 Solve 25 = -4*f + 9 for f. -4 Solve -54*r + 59*r - 5 = 0 for r. 1 Solve 10 + 17 = -9*v for v. -3 Solve -51 + 48 = -c for c. 3 Solve 25*q = -9*q + 204 for q. 6 Solve 14*b = 10*b - 16 for b. -4 Solve 2*v + 10*v = 24 for v. 2 Solve -23*d = -24*d + 4 for d. 4 Solve 2*l - 10 = 4*l for l. -5 Solve -3*c - 1 = -2*c for c. -1 Solve 12 + 0 = 4*d for d. 3 Solve -325*s + 317*s - 40 = 0 for s. -5 Solve -54*n - 79 - 191 = 0 for n. -5 Solve -18*i + 46 = 100 for i. -3 Solve 0 = -4*r - 4 + 4 for r. 0 Solve 9*s = 21*s + 24 for s. -2 Solve 149*n - 528 = 17*n for n. 4 Solve 0 = -6*f - 25 + 31 for f. 1 Solve 0 = -4*x - 3*x - 7 for x. -1 Solve -57 = -16*p - 41 for p. 1 Solve 0 = -7*b + 8*b - 2 for b. 2 Solve 1412*c = 1430*c - 162 for c. 9 Solve 0 = 2*s + 7 + 3 for s. -5 Solve -11*g - 160 = 9*g for g. -8 Solve -89 = -4*z - 69 for z. 5 Solve 0 = -20*x + 16 - 116 for x. -5 Solve -1 = -4*v + 3 for v. 1 Solve 2*n - 12 = -4 for n. 4 Solve 187 - 147 = -5*q for q. -8 Solve -1301*c + 40 = -1291*c for c. 4 Solve 13*v - 2*v = -11 for v. -1 Solve -87*g = -65*g + 88 for g. -4 Solve 2*n = -3*n - 20 for n. -4 Solve -53*s - 30 + 83 = 0 for s. 1 Solve 4*t - 418 + 446 = 0 for t. -7 Solve 201 - 185 = -4*b for b. -4 Solve -20*r - 24 = -28*r for r. 3 Solve 32 = 3*n + 17 for n. 5 Solve -15*j - 30 + 0 = 0 for j. -2 Solve 16*t = 10*t + 12 for t. 2 Solve 28*z = 57*z - 145 for z. 5 Solve 180 = 38*w - 2*w for w. 5 Solve 44*q = -4 + 4 for q. 0 Solve -12 = -123*t + 127*t for t. -3 Solve 12 = a + 16 for a. -4 Solve 2388 = 3*s + 2394 for s. -2 Solve 8*x - 51 = -35 for x. 2 Solve 0 = 13*v - v - 36 for v. 3 Solve -y + 4 = 3 for y. 1 Solve -4*w - 4*w = 0 for w. 0 Solve 4*v = -18*v + 44 for v. 2 Solve 3*w = 20 - 26 for w. -2 Solve 22*s = -53 + 251 for s. 9 Solve 0 = 34*c - 6*c + 28 for c. -1 Solve 0 = -374*n + 376*n for n. 0 Solve 0 = d - 3*d - 2 for d. -1 Solve -36*h = -40*h + 12 for h. 3 Solve -69*c + 36*c = -33 for c. 1 Solve 0 = 21*s - 0 for s. 0 Solve -22 = 9*y - 4 for y. -2 Solve 16*a + 33 = -31 for a. -4 Solve 0 = 10*m - 13*m + 15 for m. 5 Solve -7*y + 2022 = 2064 for y. -6 Solve -22*r + 17*r + 15 = 0 for r. 3 Solve -68 = 8*r - 28 for r. -5 Solve 2 = 2*a - 6 for a. 4 Solve -19*i + 65 = -6*i for i. 5 Solve -363*x + 356*x + 70 = 0 for x. 10 Solve -63 = -10*k + 17 for k. 8 Solve -20 = 10*s - 60 for s. 4 Solve -5*v + 188 - 163 = 0 for v. 5 Solve 0 = 186*q - 184*q - 6 for q. 3 Solve -66*u = 120 + 144 for u. -4 Solve -9486*b + 9489*b = 9 for b. 3 Solve 0 = -42*v + 16*v + 208 for v. 8 Solve 66*z - 27 = 75*z for z. -3 Solve 4*t = 38*t - 34 for t. 1 Solve 0 = 4*w - 7*w - 15 for w. -5 Solve 0 = -9*w + 3*w + 30 for w. 5 Solve 55*g = 65*g + 40 for g. -4 Solve -2*m - 51 = 15*m for m. -3 Solve 11*q = -20 - 13 for q. -3 Solve -3*k + 4 = -4*k for k. -4 Solve 0 = -8*n -
{ "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/(-
{ "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 101
{ "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)
{ "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 {
{ "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
{ "pile_set_name": "DM Mathematics" }
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q). q**3 Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b). -b**3 + 2*b - 1 Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) - 3*v(r). 3*r**2 Let t = 7 - 12. Let s = -1 - t. Let k(z) = 3*z - 2. Suppose 0 = 2*l + l + 15. Let x(a) = 4*a - 2. Calculate l*k(o) + s*x(o). o + 2 Let b(d) = 13*d**3 + 3*d**2 + 4*d + 3. Let r(a) = -12*a**3 - 4*a**2 - 5*a - 4. Give -4*b(h) - 3*r(h). -16*h**3 - h Let q(i) = -4*i + 1. Let j(w) = 13*w - 2. What is 4*j(k) + 14*q(k)? -4*k + 6 Suppose 125*b - 20 = 129*b. Let i(k) = k. Let y(x) = 5*x + 1. Let d(o) = -11*i(o) + 2*y(o). Let p(c) = c - 1. What is b*p(f) - 3*d(f)? -2*f - 1 Let h(a) = -8*a + 1. Let z be h(-1). Let l(y) = y - z*y**2 + 9 + y**3 + 0*y**3 - y. Let k(j) = 2*j**3 - 22*j**2 + 22. Determine 5*k(m) - 12*l(m). -2*m**3 - 2*m**2 + 2 Let w(o) = -7*o - 4. Let d(n) = -6*n - 4. Give -4*d(x) + 3*w(x). 3*x + 4 Let g(k) = -7*k - k**3 - k**3 - 5*k**2 + 0*k + 5. Let p(a) = -2*a**3 - 4*a**2 - 6*a + 4. Let q(c) = -c**2 + 16*c + 5. Let n be q(16). Give n*p(d) - 4*g(d). -2*d**3 - 2*d Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h). 6*h Suppose -g + 20 = 3*l, -4*l = -3*g - 16 - 2. Let m(a) = -7*a**2 + 7*a + 4. Let i(t) = t**2 - t - 1. Give l*i(w) + m(w). -w**2 + w - 2 Let u = -16 - -10. Let b(k) = -13*k - 7. Let q(d) = -14*d - 7. Let v(y) = -5*b(y) + 4*q(y). Let i(t) = -5*t - 4. Calculate u*v(j) - 11*i(j). j + 2 Let l(c) be the third derivative of -c**4/6 - 7*c**3/6 - 3*c**2. Let y(q) = 0*q + 3*q + 1 - 2*q. Calculate l(p) + 6*y(p). 2*p - 1 Let i(r) = -2*r**2 + 4*r + 6. Let s(y) = y**2 - y - 1. Let m be (-2)/(((-1)/3 + 0)*6). Calculate m*i(u) + 4*s(u). 2*u**2 + 2 Suppose 4*h - 10 = 2*i, 11 = -2*i + 2*h + 3*h. Let r(n) = 2*n + 5. Let v(m) = 3*m + 9. What is i*v(f) + 5*r(f)? f - 2 Let x(j) = -9*j + 5. Let l(o) = 0*o - 3 - 4*o + 5. Suppose -2*w + w = -5. Calculate w*l(p) - 2*x(p). -2*p Let j(z) = -z**2 + 3*z + 4. Let s(i) = 2*i**2 - 5*i - 7. Let c = -104 - -107. Give c*s(m) + 5*j(m). m**2 - 1 Let d(c) = 4*c - 3. Let w(l) = 63*l - 48. Let k(u) = 42*u - 32. Let v be ((-3)/(-2))/((-3)/(-10)). Let r(h) = v*w(h) - 8*k(h). Calculate -11*d(m) - 2*r(m). -2*m + 1 Let c(o) = 4*o**2 - o - 2. Let i be 3 + 3 + -1*8. Let k(s) = 9*s**2 - 3*s - 5. Give i*k(p) + 5*c(p). 2*p**2 + p Let d(a) = -a - 1. Let x(y) = 2*y**2 - 2*y - 3. Calculate 3*d(u) - x(u). -2*u**2 - u Let f(u) = 16*u + 4. Let b(n) = -4*n - 1. Calculate 9*b(w) + 2*f(w). -4*w - 1 Suppose -5*r - 6 = -16. Let k(g) = 10*g**3 - 9*g**2 - 9*g + 9. Let p(v) = -v**3 + v**2 + v - 1. Let h(d) = 19*d - 1. Let n be h(1). Determine n*p(o) + r*k(o). 2*o**3 Let p(c) = -c**2 + 2*c - 3. Let n(z) = z**2 - z + 2. Give -5*n(t) - 3*p(t). -2*t**2 - t - 1 Let c(z) = 1 + 2 - 1 - z**2. Let h(b) = -2*b**2 - b + 5. Give 5*c(o) - 2*h(o). -o**2 + 2*o Let z(r) = -15*r**2. Let a(h) = -8*h**2 - 5*h**2 + 10*h**2. Determine 11*a(x) - 2*z(x). -3*x**2 Let m(u) = -16*u + 4. Let c(y) = -5*y + 1. What is 7*c(w) - 2*m(w)? -3*w - 1 Let w(p) = -p**3 + 4*p**2 - 2*p. Let c(r) = 5*r**3 - 17*r**2 + 9*r + 1. Determine 2*c(a) + 9*w(a). a**3 + 2*a**2 + 2 Let n(i) = 2. Let k(g) = 2*g + 25. What is -k(b) + 5*n(b)? -2*b - 15 Let b(a) = -a**2 - 3*a + 1. Let y(u) = -u**2 - 2*u + 1. Give -3*b(s) + 5*y(s). -2*s**2 - s + 2 Let i(r) = 2*r**3 - 2*r - 2. Let o(
{ "pile_set_name": "DM Mathematics" }
-4 Suppose 2*c = -2*s + 38, s = -4*c + 2*c + 23. Let w = 37 - s. Solve 5*g + 3 + w = 0 for g. -5 Let n(a) = a**2 + 12*a + 4. Let j be n(-12). Suppose 0 = 2*l - j*l + 4. Solve 0*b = l*b for b. 0 Suppose -5*w = -3*w. Suppose i - 6 = -4*q, 3*q - i = 8 - w. Suppose -5*x + 15 = 2*o, 5*o + 4 = 4*x - 8. Solve k - q = -o for k. 2 Let u(l) be the second derivative of l**5/4 + l**4/12 - l**3/2 + l**2/2 - l. Let t be u(2). Let i = t + -27. Solve -i = k + 2*k for k. -4 Let m be (0 + 0)*(-3)/(-9). Solve -3*b + 6 + 6 = m for b. 4 Suppose 5*c = 0, -4*r + r - 24 = 3*c. Let i = 16 + r. Solve -i*v + 3*v = 10 for v. -2 Let w(u) be the third derivative of -u**5/60 - u**4/3 - 3*u**3/2 + 3*u**2. Let j be w(-6). Suppose j*m + 1 = 7. Solve 5 = -m*y - 1 for y. -3 Let g = 101 - 63. Suppose 4*v = -5*s - 46, -v - s - g = 3*v. Let x = 14 + v. Solve x*a - 25 = -0*a for a. 5 Let f be ((-9)/(-27))/(138/45 - 3). Solve f - 14 = -3*o for o. 3 Let j be -18*-2*(-1)/(-3). Suppose 3*s + 3 = j. Solve 0 = s*z - 15 - 0 for z. 5 Let s = -1 + 1. Let d be 8*14/70 + (-4)/(-10). Solve -d*o = -s*o + 4 for o. -2 Let g = 5 - 1. Solve g*p = -0*p + 12 for p. 3 Let h(u) = -u - 7. Let n be h(-10). Suppose n*l = 6*l. Solve -5*a - 13 + 3 = l for a. -2 Let l be (36/(-15) - -3)*5. Suppose 0 = -b + l. Solve -5 = b*u + 2*u for u. -1 Let x(n) = -n**2 + n. Let i be x(-1). Let h be (57/(-6))/(1/i). Let a be h/2 + (-4)/8. Solve 25 = 4*f + a for f. 4 Let h = 9 - 4. Let z(v) = -v**3 - 7*v**2 + 6*v + 1. Let w be z(-8). Let x = w - h. Solve k + x = -3*k for k. -3 Let h(n) = -n**2 - 5*n. Let y be h(-4). Suppose -2*g + g + 16 = 0. Solve -y*o + 0*o = g for o. -4 Suppose d = -3*d + 8. Suppose m + 4*v + 4 = 0, 3 = d*v - 1. Let s be (-27)/(-18)*m/(-2). Solve 16 = -5*i - s for i. -5 Suppose 2*l - 7*l = 2*i - 54, -4*i + 38 = 3*l. Let c(z) = z - 7. Let o be c(9). Solve -3*h - o = l for h. -4 Suppose 27 + 3 = 3*h. Let m = 12 - h. Solve m = 3*v - 7 for v. 3 Let v be ((-8)/(-5))/(5/50). Let q = 17 - v. Solve 0*f = -f + q for f. 1 Let y be 0/(-2 - -2 - -2). Solve 3*q = 3 - y for q. 1 Suppose -c - 3 = 2*c + n, 4*n = 5*c - 12. Let o(p) = p + 1. Let a be o(c). Solve -a = 3*l - 4 for l. 1 Let o(w) = w**3 + 20*w**2 + 19*w + 2. Let i be o(-19). Solve -i*r = -7*r for r. 0 Let q = 8 - 19. Let m = q - -13. Solve -7 = g - m for g. -5 Let q be ((-3)/4)/((-12)/64). Solve p + 2 = q for p. 2 Let n(j) = -2 + j - 10*j - 6*j. Let p be n(-8). Suppose 0 = 3*k - 0*s + 2*s - 86, -3*s - p = -5*k. Solve 6 = -4*g + k for g. 5 Suppose 2*h - h - 3 = 0. Suppose -1 = 5*p + m + 7, 4*m - 6 = -p. Let l be (3/p)/((-12)/32). Solve -5 = -h*v + l for v. 3 Let b = 4 - 6. Let i be (3/b)/((-3)/18). Solve j + i = 4*j for j. 3 Let n(s) = 3*s**2 - 33*s - 30. Let x(z) = z**2 - 11*z - 10. Let o(g) = -3*n(g) + 8*x(g). Let j be o(10). Solve -3*d - 2*d = -j for d. 4 Let y(c) = -c**2 + 13. Let f be y(0). Solve -5*o + 2 = -f for o. 3 Let i(y) = 3*y + 65. Let u be i(-20). Solve 2 = u*d - 8 for d. 2 Let j = 19 - 19. Suppose -5*d - 4 + 19 = 0. Solve s + j*s = d for s. 3 Let t(g) = -g**2 + 5*g. Let b be t(4). Let o(h) = -h - 2. Let z be o(-3). Solve 0 = -b*l + 9 - z for l. 2 Let c(f) = -f**2 - 11*f + 26. Let l be c(-13). Solve -u = -l*u + 4 for u. -4 Let p be 2*(-12)/(-32)*4. Solve 0 = p*r - 2*r - 2 for r. 2 Suppose r - 12 = -0*r - 2*m, -10 = -5*m. Suppose 3*o + 20 = r*o. Solve 0 = -0*y + o*y for y. 0 Let m = -20 + 24. Let h be (-4)/(-1) - (0 - -1). Solve h*v - 5 = m for v. 3 Suppose -b + 3*d - 7 = -d, 2*d = 2*b - 4. Suppose b*a = -0*a. Solve 5*u = -a*u for u. 0 Suppose -11 + 61 = 5*d. Let l(y) = -4*y - 7. Let b be l(-7). Let q = -11 + b. Solve -q - d = 5*g for g. -4 Let n(f) = -f**3 + 6*f**2 - 4*f - 4. Let j be n(5). Let w be (3/3)/j + 3. Solve w*i - 17 = -1 for i. 4 Let i be 0/(-3 + 2 + -1). Suppose -3*m + i*m = 0. Solve m = -4*y - 13 + 1 for y. -3 Suppose -2*y = 4 - 14. Suppose 3*d - 3 = -3*i, y*d + i = -1 + 10. Let p(z) = z**2 - 3*z - 4. Let l be p(5). Solve d*m - l*m = -4 for m. 1 Let b(a) = a + 8. Let c be b(-6). Let p be 2 + 0 + 0 + c. Solve 3*j = p - 19
{ "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
{ "pile_set_name": "DM Mathematics" }
**2 - sqrt(242)))*6 + 0. 99*sqrt(2) + 4616 Simplify (-4 + (3 + 2*sqrt(1584) + 3 + (2*sqrt(1584) - sqrt(1584)))*1*-1)**2. 720*sqrt(11) + 14356 Simplify 4 + (((5*sqrt(190)*-1 + sqrt(190) + -4*(-1*sqrt(190) + sqrt(190)))*4)/(((sqrt(30)*-4)/sqrt(3) - sqrt(10)) + sqrt(30)/(sqrt(3)*4)))**2. 4172/19 Simplify 6*(sqrt(2156) + 4 + 3 + sqrt(2156) + (sqrt(440) - (sqrt(440) - ((sqrt(440)*-3 - sqrt(440) - sqrt(440))*2 - sqrt(440))))/sqrt(10)). 42 + 36*sqrt(11) Simplify (sqrt(119)/(-5*sqrt(567)) + -5)**2 + sqrt(17) + 4 + 1 + 3*(sqrt(17) + -5)**2. -259*sqrt(17)/9 + 315917/2025 Simplify ((sqrt(270)*-1)/(sqrt(60)/(sqrt(18)/sqrt(3))))**2 + sqrt(48)*2 + (sqrt(30)/sqrt(10))**2*2. 8*sqrt(3) + 33 Simplify (sqrt(1728) - sqrt(1728)*-1 - (2*sqrt(60)/sqrt(5) + sqrt(12) + sqrt(12)))/(sqrt(216)*-1*-4 - (sqrt(216) + (sqrt(216) - 1*sqrt(216)) - sqrt(216))*5). 5*sqrt(2)/6 Simplify ((sqrt(2432) + -1*sqrt(2432))/(-2*(sqrt(2) + sqrt(6)/sqrt(3))))**2 - -5*(-6*(5 + (sqrt(19) + 0 - sqrt(19))))**2. 4500 Simplify (((sqrt(273) - (sqrt(273) - -5*sqrt(273)*1))/(sqrt(63)*3 + sqrt(7)))/((sqrt(180)/sqrt(6))/sqrt(10) + sqrt(432)))**2. 1/52 Simplify -2*(-2 + (sqrt(1331) - (-2 + sqrt(1331))) + (-1*sqrt(66) + sqrt(66))/sqrt(6) + -4) + -5. 3 Simplify (-1*sqrt(187)*-4 - (sqrt(187) - (1*sqrt(187)*-2 + sqrt(187))))/(sqrt(396)*-3 + sqrt(396) - sqrt(396) - (sqrt(88)*3)/sqrt(8))*-4. 8*sqrt(17)/21 Simplify (-5 + -2*sqrt(22)/sqrt(2) + sqrt(121)/(sqrt(11) + sqrt(33)/sqrt(3)))**2 + 3 + (sqrt(88)/(sqrt(288) - -2*sqrt(288)))**2 + -1. 15*sqrt(11) + 8389/162 Simplify (-4 + -3 + 2 + -4*sqrt(448) + sqrt(448) + 3 + 1)**2 + 5. 48*sqrt(7) + 4038 Simplify (1*sqrt(304)*3)**2 + ((sqrt(114)/(1*sqrt(6)))**2 - ((1*sqrt(76))/sqrt(4))**2) + sqrt(475)*-2 + -5 + sqrt(475) + sqrt(475) + 3 + -3. 2731 Simplify (sqrt(486) - (sqrt(486)*1 + sqrt(486)) - (sqrt(384) + sqrt(384)*-3 + sqrt(384) + sqrt(384) + sqrt(384)))/(2*sqrt(320)/(-2*sqrt(10))). 17*sqrt(3)/4 Simplify (sqrt(4400) - (sqrt(4400) - (1*sqrt(4400)*-3 - sqrt(4400))) - -5*1*sqrt(4400))/(-2*sqrt(256)*1*4). -5*sqrt(11)/32 Simplify 5*(-4*sqrt(325)*-3)**2 + -4*2*sqrt(117)*1. -24*sqrt(13) + 234000 Simplify (-4*6*-3*(sqrt(275) + (sqrt(275) - -4*sqrt(275)*-6) + -1)*-1)**2 + 1. 1140480*sqrt(11) + 689995585 Simplify ((4*3*sqrt(112)*4 - (sqrt(28) + -4 - 5*sqrt(42)/sqrt(6))) + -3)**2. 390*sqrt(7) + 266176 Simplify ((((-1 + sqrt(1700))*5 - sqrt(1700))*-2 + -5)**2*-6 + 2)*-1. -4800*sqrt(17) + 652948 Simplify ((((sqrt(102)/sqrt(2))/sqrt(3) - (sqrt(2448)*1 + sqrt(17))) + 1*sqrt(68) + 1 + 4)*-5*-1)**2. -2500*sqrt(17) + 43125 Simplify (4*(sqrt(171) - (0 + sqrt(171))*3))**2 + -4 - -6*(sqrt(171) + 2*(sqrt(171)*1 + sqrt(171))**2 + sqrt(171) + 4). 36*sqrt(19) + 19172 Simplify -1*((sqrt(68)/(3*sqrt(256) - sqrt(4)) - ((1 + sqrt(153))**2 + sqrt(153) + -1)) + -1). 206*sqrt(17)/23 + 154 Simplify (-3*sqrt(187)*-5 + sqrt(187)*1*-4)/(((sqrt(121)*-2 + sqrt(121))/sqrt(11) - sqrt(275)*3)*5). -11*sqrt(17)/80 Simplify -1 + (sqrt(32)/sqrt(64) - (sqrt(128) - (sqrt(128) - (sqrt(128)*-1 + sqrt(128)))))/(2*(sqrt(4) + sqrt(144)*-3)). -1 - sqrt(2)/136 Simplify (0 + 3*sqrt(2057) + -5)*-4 + 0 + (-5 + (0 + sqrt(2057))*4)**2. -572*sqrt(17) + 32957 Simplify ((sqrt(76)*1*5 + sqrt(76) + (sqrt(76) - 1*sqrt(76)*2 - sqrt(76)) + sqrt(76))*1)/(sqrt(8)/(sqrt(2) - sqrt(2)*2) - sqrt(48)/(sqrt(12) + sqrt(300))). -30*sqrt(19)/7 Simplify -1*(sqrt(190)/(sqrt(10) + (2*sqrt(90))/sqrt(9)) + sqrt(171)*2 + 5)*3*5. -95*sqrt(19) - 75 Simplify (2*sqrt(200))**2 + 4 - -1*sqrt(200)*-2 - (sqrt(16)/sqrt(2) + 1 - (sqrt(800) + sqrt(800) + sqrt(800) + -3 + sqrt(800)))**2. -11380 + 604*sqrt(2) Simplify ((1*sqrt(168) - sqrt(168))/sqrt(12))/(sqrt(600)/sqrt(12)) + (sqrt(1008) + ((sqrt(1008) - (-3 + sqrt(1008)))**2 - sqrt(1008)) - sqrt(63)*5). -15*sqrt(7) + 9 Simplify (3*(((6*2*sqrt(85) - sqrt(85)) + sqrt(85))/(sqrt(55)/(sqrt(11)*-1)))**2*3 + -3)*4 + -1. 88115 Simplify ((4*((sqrt(425) - (-1 + 1 + sqrt(425)) - 6*(sqrt(425) + 1)) + -5))**2 + -3)*4. 42240*sqrt(17) + 986932 Simplify (-5*(3 + 0 + (1 + 2*sqrt(1573) - sqrt(1573)) + 2*sqrt(1573) + 0 + -1))**2. 4950*sqrt(13) + 354150 Simplify (4*(-6*(sqrt(95) - -1*sqrt(95)) + sqrt(95))*-3)/(6*(2*sqrt(405) - sqrt(405)) + sqrt(405) + 5*(sqrt(405) + sqrt(405)*-1)). 44*sqrt(19)/21 Simplify ((-5 + (sqrt(768) + -2 - sqrt(768)))*-6)**2 - 1*(sqrt(18)/(sqrt(6)*-3) + sqrt(3) - 3*sqrt(300)). 88*sqrt(3)/3 + 1764 Simplify (2*(sqrt(187) + (5*sqrt(187)*-1 - sqrt(187)) + sqrt(187))*-1)/((sqrt(66)/sqrt(12))/(sqrt(32)*1)). 64*sqrt(17) Simplify 2 +
{ "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?
{ "pile_set_name": "DM Mathematics" }
*((c*c**(5/4)*c)/(c*c**(-12)/c))**(-11) assuming c is positive. c**(-7577/28) Simplify (v/v**0)**(-1/6)/(v**(-1/4))**(34/5)*v*(v/((v**(1/5)*v*v*v)/v))/v*v*(v/(v/(v**(2/13)/v)))/v*v**(-8)/((v*v**6*v)/v*v*v*v) assuming v is positive. v**(-722/39) Simplify ((z*z*z**(-2/7))**(-28))**(-5/2)*(z**0)**39*(z/(z/((z/(z*z**(-3/2)*z*z*z)*z*z*z)/z))*z)/z*z/(z*z**(-1/2)*z) assuming z is positive. z**120 Simplify ((v**(-1/4)/(v*v**(2/13)))/(v**(-6)/v*v**(1/7)))/((v/(v/(v/(v**3/v))))/v*v**(3/7))**(-1/36) assuming v is positive. v**(8861/1638) Simplify ((c*(c**(-6/5)*c)/c*c)/c*c*((c**22*c)/c)/c*c**26*c**(-26))**(-1/15) assuming c is positive. c**(-109/75) Simplify (h**9/(h**(-2/3)*h)*h**(-1)/(h/(h/(h*h**(-7/3)*h*h*h))))**(-37) assuming h is positive. h**(-222) Simplify ((k/((k**(-1/3)*k*k)/k)*k)/(k/(k*k/k**(-3)*k*k)))**(-30)*(k/(k**0*k))**(-16/7)/((k/k**3)/k**3) assuming k is positive. k**(-215) Simplify ((((t/(t*t/(t*(t/(t**(10/17)/t))/t)*t))/t*t/(t*t**(1/45)*t)*t*t*t*t)**(-3/10))**(-42/11))**(1/22) assuming t is positive. t**(7441/102850) Simplify (q*q/q**45)/q**40*q/(q*((q**(-31)/q)/q)/q)*q**(-2/83) assuming q is positive. q**(-4069/83) Simplify (i*i/i**(-2/3)*(i*i**(-2)*i)/i*i)/(i**(-5)*i**(-2/5))*((i**(-2)*i)**(-30))**20 assuming i is positive. i**(9121/15) Simplify ((v/v**(7/5))/(v/v**(5/3)*v))**45/((v*v**1/v)**41*(v*(v/(v**(2/21)*v))/v)/((v*v*v/(v/(v**(4/5)/v)))/v)) assuming v is positive. v**(-7676/105) Simplify ((k**(-21)*k*k**17)/(k/(k*k**(-1/8)/k))**21)**42 assuming k is positive. k**(-4473/4) Simplify ((i**2/i)/i**(-1/31)*(i*i**(-2/39))/i**(-13))**(-1/3) assuming i is positive. i**(-18112/3627) Simplify (j*j*j**3*j/((j**(-2)*j)/j)*j*j)**42*(j**(-6)/(j*j*j/(j*(j*j**(-2))/j*j)))**49 assuming j is positive. j**(-21) Simplify ((x**0/x)**(2/9)/((x**(-1/12)*x*x)/x**(-3)))/(x/x**(-3/8)*x/x**(-1)*x**(-7)/(x*x/x**(2/9))) assuming x is positive. x**(19/72) Simplify (((m**(-1)*m*m)**(42/13)*(m*m**1/m)**7)**39)**(-3/16) assuming m is positive. m**(-1197/16) Simplify ((y**35/(y*(y/(y**16/y))/y))/((y*y/y**(1/11))/((y**7*y)/y)))**11 assuming y is positive. y**595 Simplify d*d**(-4)*d*d*d**(-1/4)*(d*d**(-1/4))/d**(-1)*(d**(-1)/d**(-2/11))/((d/(d*d**(-2)/d))/(d**4/d)) assuming d is positive. d**(-7/22) Simplify (y/y**(-2))/y*y*y**(-1/5)*(y/y**0*y)/y**(-2/7)*(y**5/y*y/y**(-4)*y)/(y/(y**0/y)*y*y)**(-49) assuming y is positive. y**(7388/35) Simplify ((d**(-1))**(-5/2))**(-15)/(((d*d**(4/7)/d)/(d**0/d*d))/((d**(-2/11)/d)/d**(5/6))) assuming d is positive. d**(-9260/231) Simplify (l**(2/17)/l**2)/(l**(-1/2)/l)**8*(l**(-3)/(l*l**(-1/13)))/(l**(-1/5)*l**8) assuming l is positive. l**(-1774/1105) Simplify (y**3*y**(-2/15))**(1/9)*(y/y**(-2))**34/(y**5/y*y*y*y**(-1/15)) assuming y is positive. y**(13012/135) Simplify ((((z/z**(1/7))/z*z)/z*z)/z**(-2/5)*z**1/z**(-6))/(z**(-4)/z**(-5)*z/z**(6/7)*z**(-5)) assuming z is positive. z**(424/35) Simplify (l**(4/7)*l**(1/4)*(l/(l/(l*l/l**3*l)*l*l))/l**(-2/9))/((l**(4/5)*l**(1/10))/(l**(2/9)*l**(-1)*l*l)) assuming l is positive. l**(-799/1260) Simplify ((z**(-1/68))**(-2/93)*(z*z**13)**(-31))**(2/39) assuming z is positive. z**(-1372307/61659) Simplify ((f*f*f**17*f)**(-11/4)/((f*(f*f**(1/22)*f*f)/f)/(f**24/f)))**(-12/13) assuming f is positive. f**(4626/143) Simplify ((s/s**1)/(s**(-1/3)*s*s))**(21/5)*s/(s/(s/s**4))*((s*s/(s*s**(2/7)))/s)/s*(s**(-2/5))**(-31) assuming s is positive. s**(39/35) Simplify (((h**(-5)/h)/h)**(-6)/(h**(-1/9)/(h/h**(-2/15)*h)))**(-32) assuming h is positive. h**(-63712/45) Simplify ((r*(r/(r/((r/r**(-1))/r))*r)/r)**25)**(-28)/(((r*r/((r**(-1/4)*r)/r)*r*r)/r**7)/(r**2/r**(-3))) assuming r is positive. r**(-5569/4) Simplify ((s**(-2/69)*s/s**(-1/27))/((s/((s/s**(2/51))/s))/(s/(s**(-1/8)/s))))**(1/38) assuming s is positive. s**(176837/3209328) Simplify ((l*l**29*l)/l)/((l/((l*l**(-27)*l)/l))/l)*(l**(-4/3)*l*l)/l**(-34) assuming l is positive. l**(116/3) Simplify (c/(c**(-8)*c)*c**(4/9)*c**8/c*c**(-4))/((c*c/(c*c**0))/c**(3/11)*c*c**5/c*c*c**5) assuming c is positive. c**(-28/99) Simplify ((x**(6/7)/(((x/x**18*x)/x)/x))/(x/(x**7/x)*x**3))**(-11/2) assuming x is positive. x**(-803/7) Simplify ((o/o**(1/15))/o**(-7))**(16/9)/(o/(o/(o/(o**(-3)/o)))*o**4/o*o/(o*o**2)*o*o**(-4)) assuming o is positive. o**(1499
{ "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
{ "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
{ "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 -323457
{ "pile_set_name": "DM Mathematics" }
sqrt(153)/(sqrt(45)/sqrt(5)))**2). 3 Simplify -2*-5*(4 + (sqrt(300) + 5)**2). 1000*sqrt(3) + 3290 Simplify 2*((4*sqrt(3))**2 + -4 + sqrt(108)*-3). -36*sqrt(3) + 88 Simplify 4 + (-2 + 6*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))))**2. -1440*sqrt(13) + 67496 Simplify (((sqrt(352)*2 + sqrt(352))/sqrt(8))/sqrt(144) + 0)**2. 11/4 Simplify ((-1*sqrt(544) + sqrt(544) + sqrt(544))*-1)/(-4*(sqrt(162) + 2*sqrt(162) - sqrt(162))). sqrt(17)/18 Simplify (-4*-3*-1*5*(sqrt(704)*-1 + 1))**2. -57600*sqrt(11) + 2538000 Simplify (3*4*(-1 + 4*sqrt(1300) + sqrt(1300) + 2))**2. 14400*sqrt(13) + 4680144 Simplify (sqrt(540)/(sqrt(192) + sqrt(12) + sqrt(12)))/sqrt(9) - (sqrt(50)/(sqrt(810) + -3*sqrt(810)))**2. -5/324 + sqrt(5)/6 Simplify (-3*sqrt(16)/sqrt(8)*6)**2 - 2*1*sqrt(8)/sqrt(4). -2*sqrt(2) + 648 Simplify 6*-2*((sqrt(144)*-1)/sqrt(12))**2*-5. 720 Simplify -2*(-3*sqrt(150)/sqrt(6))/(sqrt(10)/sqrt(2)*-4)*-5. 15*sqrt(5)/2 Simplify ((sqrt(675) - (sqrt(675) + (-5 + sqrt(675) + -2 - sqrt(675) - sqrt(675))) - -3*(-1 + sqrt(675)))*-5)**2. 12000*sqrt(3) + 270400 Simplify (-1*sqrt(1008)*-4 + sqrt(1008)*-1 + -2 - -6*(sqrt(1008) + 1*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)))))**2. -2880*sqrt(7) + 226864 Simplify (((sqrt(330)*2)/sqrt(11) + (sqrt(30) - (1*sqrt(30) + sqrt(30))*5 - sqrt(30) - sqrt(30)))/(sqrt(24)*-1 + sqrt(24) + sqrt(72)/sqrt(3)))**2. 405/4 Simplify 2*(sqrt(104)/(sqrt(2)*2*4) + 3). sqrt(13)/2 + 6 Simplify ((sqrt(72)/sqrt(3)*-5)/(sqrt(120)/sqrt(90) + sqrt(12)) + -2)**2 + 2. 15*sqrt(2) + 273/8 Simplify 3*(6*3*sqrt(209) - sqrt(209))/(sqrt(11) - (sqrt(22)/sqrt(2)*3 - sqrt(11))) + 0. -51*sqrt(19) Simplify 2 + (-6*5*sqrt(77)*2)/(sqrt(396) + sqrt(396) + (sqrt(396) + (sqrt(396) - (sqrt(396) + (sqrt(396) - (sqrt(396) - -1*sqrt(396))))))*-2 - sqrt(396)). 2 + 10*sqrt(7)/3 Simplify ((sqrt(88) + sqrt(88)*-3)/sqrt(4))/sqrt(2) - ((4*sqrt(792))/sqrt(2))**2. -6336 - 2*sqrt(11) Simplify (sqrt(3645)*2 + sqrt(720)*-2)/(sqrt(1089) - 5*sqrt(1089)*2). -10*sqrt(5)/99 Simplify (5 + (2*sqrt(200) - sqrt(200)) + -2*(3 + sqrt(200)) + sqrt(200) + 3)**2. 4 Simplify ((sqrt(125) + (sqrt(125) - (-4 + -1 + sqrt(125))) + (-3*(sqrt(125) + 1) - sqrt(125)) + 4)*4)**2. -2880*sqrt(5) + 18576 Simplify (sqrt(325) + -1*sqrt(325))*2 - (-3*sqrt(325)*-5)**2. -73125 Simplify ((sqrt(1600) + sqrt(1600)*-3 + sqrt(1600))*4 - sqrt(1600))/(sqrt(30)/(1*sqrt(6)*-3)). 120*sqrt(5) Simplify -2*(sqrt(22)/(sqrt(1100) + (sqrt(1100) - (2*sqrt(1100) + sqrt(1100)) - sqrt(1100))))**2 + (sqrt(288) - (0 + (sqrt(288)*2 + sqrt(288))**2)) + 2. -259001/100 + 12*sqrt(2) Simplify 3 + (-6*(sqrt(612) - (sqrt(612) + -1)))**2 - ((sqrt(612)*1)**2 + 1 - (sqrt(612) - (-4*(sqrt(612) - (2*sqrt(612) + sqrt(612))))**2)). -39742 + 6*sqrt(17) Simplify (2*sqrt(187))/sqrt(11) + 2 + 1 + (sqrt(17) - (-2 + sqrt(425) + sqrt(425) + sqrt(17)))**2 + 5. -38*sqrt(17) + 1712 Simplify -1*(1*(sqrt(1584) + 2 + sqrt(1584)) + 1)**2. -6345 - 144*sqrt(11) Simplify ((sqrt(180) + sqrt(180)*5)/sqrt(6))/(-5*sqrt(160) + sqrt(10)). -6*sqrt(3)/19 Simplify -1 + (sqrt(42) + (sqrt(42) - (sqrt(5082) + 4*sqrt(5082) - sqrt(5082))))/(sqrt(96)*-3)*4. -1 + 14*sqrt(7) Simplify -2*((sqrt(11) + sqrt(539) + 3)**2 + -6*(-2 + sqrt(11))). -1450 - 84*sqrt(11) Simplify ((((-2*sqrt(420))/sqrt(10))/sqrt(2))/((-4*sqrt(192) + sqrt(192))*3))**2. 7/1296 Simplify (-5 + (sqrt(108) + -1 + sqrt(108))*4*1 + -1)**2. -960*sqrt(3) + 7012 Simplify (sqrt(1500) - -1*sqrt(1500))/sqrt(12) - (2*sqrt(560) - sqrt(560))/sqrt(7). 6*sqrt(5) Simplify -1*(-2 + (sqrt(52)*-3)**2 + 1). -467 Simplify -2 + (((sqrt(567) - 2*sqrt(567)) + sqrt(567))*1 - (1 + sqrt(7) + 1)*-6)**2. 144*sqrt(7) + 394 Simplify (((1 + sqrt(153))*6 + sqrt(153) + sqrt(153) + ((-3 + sqrt(153))*-3 - sqrt(153)))*-1)**2. 360*sqrt(17) + 2673 Simplify (-5*sqrt(153)*1 - -2*((-2*sqrt(153) - sqrt(153)) + sqrt(153)))/(((sqrt(576)*1 - sqrt(576)) + sqrt(576))*-6). 3*sqrt(17)/16 Simplify ((1*(sqrt(567)*2)**2 - sqrt(56)/((sqrt(8) - (sqrt(8) - sqrt(24)/sqrt(3)))*-2 - sqrt(8) - sqrt(8))) + -1)*4. sqrt(7) + 9068 Simplify 3 + (0 + (sqrt(300) - (sqrt(300) + -2 + -1 + sqrt(300) - sqrt(300)))**2)*2. 21 Simplify -4*(-4 + (sqrt(1300))**2*4 + -2). -20776 Simplify ((2 + sqrt(468))*3*-5)**2 - ((sqrt(468) + 0 + sqrt(468) + -4)**2 + (0 + sqrt(468))**2 + 1). 5496*sqrt(13) + 103843 Simplify (sqrt(192) + 1 + -4)**2 + 3 + (sqrt(27))**2*5. -48*sqrt(3) + 339 Simplify 2 + (6*1*sqrt(14))/(sqrt(4)/(sqrt(4)/sqrt(2))) + 4. 6 + 6*sqrt(7) Simplify (-3 + (sqrt(288) + 0 - sqrt(2) - (-4 + sqrt(128)))**2)*3. 93 + 72*sqrt(2) Simplify (sqrt(33)/sqrt
{ "pile_set_name": "DM Mathematics" }
he form o*p**4 + k*p**2 + m + i*p + l*p**3 and give l. 0 Express 2 - 1 + 2*g - 2*g**3 - 462*g**2 + 0 + g**4 + 460*g**2 as k*g**4 + t*g + q*g**2 + c*g**3 + m and give m. 1 Rearrange 797*b**4 - 798*b**4 + 4*b**3 - 4 + 3*b**3 + 2*b**2 - b**2 to the form r*b**3 + c*b**2 + k*b + j + s*b**4 and give s. -1 Express 0*i**4 + 1143*i**2 + 2*i**4 - 1141*i**2 - 2*i**3 as a*i + f*i**3 + r + k*i**2 + v*i**4 and give k. 2 Rearrange -2*i - 41 + 15 - 8 to r*i + x and give r. -2 Express (5*g - 5*g - 2*g)*(-4*g - 2 + 7*g - 5*g) as c + k*g + z*g**2 and give k. 4 Rearrange (87 - 24 - 17)*(5*d - 4*d - 2*d) + (2 + 4 - 5)*(3*d - 5 + 5) to o + w*d and give w. -43 Express (-31 + 11 - 3 + (-2 + 1 + 2)*(2 + 2 - 2) + 3 - 3 + 2)*(0 + 0 - 2*c**3) in the form f*c + r + m*c**2 + k*c**3 and give k. 38 Rearrange 7 + 0*j**2 + 0 - 7*j**2 + 6*j**2 to n*j**2 + w*j + y and give y. 7 Express (-3*j - 2*j + 2*j)*(j - 2*j + 0*j)*(-9*j - 19*j + 0*j) - 2*j**3 + 3*j**3 - 2*j**3 in the form z*j**2 + l*j**3 + t*j + a and give l. -85 Rearrange -2*y**4 + 2*y**4 + 0*y**4 - 1 - 3*y**2 - 9*y**4 to r + a*y**4 + i*y**3 + j*y + x*y**2 and give a. -9 Rearrange -x - x - 2*x - 2*x to p + u*x and give u. -6 Rearrange -19*k + 45*k + 29*k to g + x*k and give x. 55 Rearrange 0*a**2 - 3*a**2 + a**2 + 1 + a**2 - 1 + (4*a - 3*a - 3*a)*(a + a + 0*a) - 109 + 109 + 4*a - 2*a**2 to c*a**2 + p*a + q and give c. -7 Express -2*a**3 + 8*a**3 + 80*a**2 - 82*a**2 in the form t*a**2 + n*a + p*a**3 + q and give p. 6 Express (-k + 0*k + 0*k)*(-3 + 6 - 7*k + 0) as m*k**2 + v*k + l and give m. 7 Rearrange 419 + z**2 + 2*z**3 - 2*z**3 + 2*z**4 - 420 to s + v*z**4 + x*z + k*z**3 + a*z**2 and give a. 1 Express -56 + 15*m**3 + m + 56 in the form d*m + v*m**3 + i*m**2 + a and give v. 15 Rearrange (-4 + t**2 + 4)*(-3*t + t - t) + 51 + t**3 - 51 + (-2*t**2 + 0*t**2 + 0*t**2)*(7*t - 3*t - 3*t) to g*t**3 + p*t + u*t**2 + y and give g. -4 Rearrange 2*r**4 - 2*r**2 - 8*r**4 - 2*r**4 + (-3 + 3 + r**3)*(3*r - 5*r + 3*r) to u*r**2 + m*r**4 + w + y*r**3 + l*r and give u. -2 Rearrange -8*y - y**2 + 2*y**2 + y**2 + (-y - y + 0*y)*(-y + 0 + 0) to l + k*y**2 + q*y and give k. 4 Express n - 4*n + 0*n + (-3*n + 4*n - 2*n)*(-4 + 2 + 3) - 3 + 3 - n + (8 - 4*n - 8)*(0 + 2 - 1) - 4*n - 4*n + 5*n in the form i*n + y and give i. -12 Rearrange -2*s + 1 + 2*s + 6*s**2 - 4*s**2 + s**3 to the form y*s**2 + h*s**3 + n + v*s and give v. 0 Rearrange -13*k**2 + 26*k**2 - 3*k + 17*k**2 to x + q*k**2 + a*k and give q. 30 Express 38*t**4 + 39*t**4 - 75*t**4 + 2*t**3 + 2 + t + 3*t**2 in the form m + w*t**2 + n*t**3 + f*t + l*t**4 and give m. 2 Express (2 - 2 - h**2)*(-4*h + 3*h + 0*h) + (-h**3 - 2*h**3 + 0*h**3)*(5 - 3 - 1) as v*h**2 + c*h**3 + x*h + t and give c. -2 Express 0*p**2 + 2 + p**2 + 2*p**3 - p**4 - 1 + 0*p**2 as v*p**2 + g*p**3 + m*p**4 + h + d*p and give m. -1 Express (-1 - a**2 + 1)*(3*a - a**2 - 3*a) + (-10*a**3 + 10*a**3 - 12*a**3)*(-3 - a + 3) in the form u*a + m*a**3 + k*a**4 + c + r*a**2 and give k. 13 Rearrange n - 73*n**3 + 71*n**3 + 0*n to u*n + w + d*n**2 + b*n**3 and give u. 1 Express 29*f - 6*f - 15*f as p + c*f and give p. 0 Express (3 - 4 + 0)*(3 - 3 - y) - 11*y + 4*y - 13*y as d + j*y and give j. -19 Rearrange 75 + 5*h**2 - 75 to the form m + g*h + u*h**2 and give u. 5 Rearrange -2*j + 4*j - 3*j + (2*j - 6*j - 7*j)*(3 - 1 - 4) + j - j - j to the form t*j + g and give t. 20 Rearrange -60 + 8*b**2 - b**2 + 57 to h*b**2 + s + a*b and give h. 7 Rearrange 2*p**4 + 675*p**2 - 683*p**2 + 4*p - p to the form z*p**3 + o*p**2 + b*p + r*p**4 + x and give r. 2 Express -2*f**4 - 3*f + 0*f**4 - 3 - 2*f**2 + 1 in the form v*f**3 + w + t*f + g*f**4 + c*f**2 and give w. -2 Express 2*u**3 + u**3 + 4*u**2 - u**2 - 2*u**3 - 2*u in the form m*u + c*u**3 + q + p*u**2 and give p. 3 Express -30 - 127*w**3 + 30 + 2*w in the form p + g*w**3 + k*w**2 + s*w and give s. 2 Rearrange
{ "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
{ "pile_set_name": "DM Mathematics" }
rms in -10*h**2 + 8*h**2 - 133383*h + 133383*h + 6*h**2. 4*h**2 Collect the terms in -2845*n**3 - 4194*n**3 - 4205*n**3 + 11243*n**3. -n**3 Collect the terms in 2 + 4422*h**2 + 7365*h**2 + 8*h**3 - 2. 8*h**3 + 11787*h**2 Collect the terms in -33919*s + 5650*s + 5652*s + 5657*s + 5632*s + 5661*s + 5655*s. -12*s Collect the terms in 3 - 3 - 32531*t**3 - 136588*t**3. -169119*t**3 Collect the terms in 1193*f**2 + 17*f + 32*f + 1902*f**2 + 202*f**2 + 5. 3297*f**2 + 49*f + 5 Collect the terms in 0 - 31893*h - 2 + 30573*h. -1320*h - 2 Collect the terms in 24*s**2 - 374*s + 170*s + 158*s - 9*s**2 - 17*s**2. -2*s**2 - 46*s Collect the terms in 381*p - 130*p - 1178*p - 574*p. -1501*p Collect the terms in -4274*l**3 + 51*l**2 + 4271*l**3 - 150*l - 51*l**2. -3*l**3 - 150*l Collect the terms in -2067*p + 465*p + 403*p + 407*p + 396*p + 404*p. 8*p Collect the terms in -4104*o + 8245*o + 14 + 9 - 27 - 4123*o + 4. 18*o Collect the terms in 67*k**2 - 122*k**2 + 54*k**2 + 6565 - 6565. -k**2 Collect the terms in 97280*y + 97237*y - 194965*y - 4. -448*y - 4 Collect the terms in 21081807*h**2 - 21081807*h**2 - 2*h**3. -2*h**3 Collect the terms in -24873173*g**3 + 49746273*g**3 - 24873146*g**3. -46*g**3 Collect the terms in -21*g - 292 + 290 + 147*g + 121*g - 22*g + 61*g. 286*g - 2 Collect the terms in 7 + 17*j**2 - 12*j**2 + 21 + 22. 5*j**2 + 50 Collect the terms in 839740001866*r**2 - 839740001866*r**2 + 2*r**3. 2*r**3 Collect the terms in 128*r**3 + 142*r**3 + 115*r**3. 385*r**3 Collect the terms in -458*f**3 + 554*f**3 + 396*f**3 - 465*f**3. 27*f**3 Collect the terms in 135 + 154 - 4*q + 155 + 154. -4*q + 598 Collect the terms in -1357564*n - 7*n**2 + 678778*n - 7*n**3 - 8*n**3 + 678786*n + 14*n**3. -n**3 - 7*n**2 Collect the terms in -6183173*i + 334981*i - 1358235*i. -7206427*i Collect the terms in -11972*w - 13503*w - 22596*w. -48071*w Collect the terms in 1542 - 52*n**2 - n + 43*n + 29*n**2 + 25*n**2. 2*n**2 + 42*n + 1542 Collect the terms in -391513*l**2 - 67329*l**2 - 169710*l**2. -628552*l**2 Collect the terms in -15 - 2018*t + 15 - 3712*t. -5730*t Collect the terms in -6*f**3 + 73*f - 106 - 885*f - 486*f - 191*f. -6*f**3 - 1489*f - 106 Collect the terms in -15*p - 2*p - 2781 + 54*p - 28*p + 2779. 9*p - 2 Collect the terms in 2 - 5 - 131478425706*k + 131478425679*k + 3. -27*k Collect the terms in -86926*j**2 + 173850*j**2 - 86984*j**2 - 1 + 3. -60*j**2 + 2 Collect the terms in 15254*i**3 - 11939*i**3 + 26668*i**3. 29983*i**3 Collect the terms in -127*g - 117*g - 886*g**2 - 49*g**2 + 369*g - 123*g. -935*g**2 + 2*g Collect the terms in -7*h**3 - 20*h**3 - 2122639*h + 2122639*h. -27*h**3 Collect the terms in 7 - 8 + 3 + 1069*j**3 + 2492*j**3 + 658*j**3. 4219*j**3 + 2 Collect the terms in 14375*l + 16110*l - 30466*l. 19*l Collect the terms in 3711*h**3 - 7660*h**3 - 1 - 4325*h**3 - 6823*h**3. -15097*h**3 - 1 Collect the terms in 2523*k**2 + 2900*k**2 - 62 + 29 + 22 + 13. 5423*k**2 + 2 Collect the terms in 16 - 52 + 77*b + 14 + 22 - 3*b. 74*b Collect the terms in -631 + 614*r**2 - 38*r + 38*r - 631 - 612*r**2 + 1262. 2*r**2 Collect the terms in 8270 - 2755 - 2757 + 173*n - 2757 - 287*n. -114*n + 1 Collect the terms in 2690*r**2 - 3 - 8348*r**2 + 5664*r**2. 6*r**2 - 3 Collect the terms in -35826*a - 282 + 150 + 132. -35826*a Collect the terms in 2 + 0 - 145238*l**3 - 2 + 145223*l**3. -15*l**3 Collect the terms in 11 - 43 + 29 + 1032*a. 1032*a - 3 Collect the terms in -3 - 6152*s**2 - 5*s + 2053*s**2 + 2053*s**2 + 3 + 2045*s**2. -s**2 - 5*s Collect the terms in 310 + 15*y**2 - 3*y + 16*y**2 - 23*y**2. 8*y**2 - 3*y + 310 Collect the terms in 2025252894352 + 2*t**2 + 15*t**2 - 2025252894356. 17*t**2 - 4 Collect the terms in 681*f - 2755*f + 653*f + 705*f + 656*f. -60*f Collect the terms in 21*p + 33*p + 73127 + 24615 - 19*p. 35*p + 97742 Collect the terms in -31866 - 31863 + 1238*p + 63729. 1238*p Collect the terms in -352*r - 358*r + 1416*r - 345*r - 364*r. -3*r Collect the terms in -254*i - 244*i - 336*i**3 + 812*i - 314*i. -336*i**3 Collect the terms in 22306509*x**3 - 22306592*x**3 + 39*x**2 - 39*x**2. -83*x**3 Collect the terms in -20 - 45 - 72*m - 46 - 44 + 35. -72*m - 120 Collect the terms in -1856995*x**2 + 187 - 116 + 316 + 1856997*x**2. 2*x**2 + 387 Collect the terms in -1257 -
{ "pile_set_name": "DM Mathematics" }
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h). -4*h**2 Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x). -x - 2 Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)? -j**2 + 1 Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s). -s**3 + 98*s - 2 Let z(g) = -22*g**3 + 2*g**2 - 6*g - 4. Let t(p) = p**3 + p + 1. Calculate -5*t(y) - z(y). 17*y**3 - 2*y**2 + y - 1 Let k(f) = 0*f**2 + 5*f**2 + 6 - f**2. Let s(t) = 7*t**2 + 11. Suppose 290 = -3*g + h + 113, -4*h = -5*g - 302. Let r be 9/(-75)*-5 + g/5. Give r*k(v) + 6*s(v). -2*v**2 Let t(w) = -11*w**2 + 7. Let u(n) = 11*n**2 - 18*n - 4. Let p(h) = -12*h**2 + 21*h + 4. Let l(b) = -6*p(b) - 7*u(b). Give 7*l(m) - 4*t(m). 9*m**2 Let z(m) = 2*m**2 + 1. Let l(h) = h**2. Let u(i) = -i**3 + 39*i**2 - 39*i + 37. Let j be u(38). Give j*z(w) - 2*l(w). -4*w**2 - 1 Let k(g) be the first derivative of 0*g**3 + 21 + 55/4*g**4 + 25*g + 0*g**2. Let q(o) = 9*o**3 + 4. Give 4*k(b) - 25*q(b). -5*b**3 Let a(x) = -15*x - 267. Let b(r) = 3*r + 53. Give 5*a(j) + 24*b(j). -3*j - 63 Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v). 2*v**3 Let c(j) = -6*j**2 + 7*j**3 + 260 - 266 + 3*j**3. Let u(r) = -3*r**3 + 2*r**2 + 2. Let h = 8 - 6. What is h*c(p) + 7*u(p)? -p**3 + 2*p**2 + 2 Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c). 2*c**2 + c - 29 Let p(h) = -5 + 4*h + h**2 - 3*h + 4. Let v(d) = 2*d**3 - 6*d**2 - 4*d + 6. Give -6*p(b) - v(b). -2*b**3 - 2*b Let r(j) = j**2 + 6*j + 3. Let b(l) = -6*l**2 - 31*l - 16. Let z be (-1)/2 + -3*56/(-48). Suppose -z*u + 50 = 17. Determine u*r(q) + 2*b(q). -q**2 + 4*q + 1 Let x(y) = 7*y**2 + 3*y - 4. Let v(m) = 4*m**2 + 2*m - 2. Let j = 26 + -21. Suppose 3*z - 15 = 0, -5*z = -j*g - 0 - 10. Calculate g*x(p) - 5*v(p). p**2 - p - 2 Let f(l) = -1104998*l. Let v(g) = 1897*g. Give -5*f(p) - 2913*v(p). -971*p Let q be 10/4 + (-3)/6. Let b(a) = 69*a**2 + 4*a - 72*a**q - 4 + 4. Let o(x) = -2*x - 1. Let g be o(-3). Let t(l) = -l**2 + 2*l. Determine g*t(u) - 2*b(u). u**2 + 2*u Let v(p) = -5*p**2 + 4*p + 3. Let t(i) = 5*i**2 - 5*i - 3. Determine 2*t(c) + 3*v(c). -5*c**2 + 2*c + 3 Let o be (-32 - -30)*4/8. Let j(a) = a**2 - a + 1. Let v(w) = -4*w**2 + 2*w - 3. Calculate o*v(n) - 5*j(n). -n**2 + 3*n - 2 Let y(i) = -84*i**2 - 2*i - 1. Let g(p) = -p**2. What is g(q) + y(q)? -85*q**2 - 2*q - 1 Let u(g) = -g - 1. Let i(s) = 16*s + 10. Give i(d) + 6*u(d). 10*d + 4 Let g(m) = -m**3 + 2*m**2 + 4. Let q(r) = -r**3 + 3*r**2 + 3. Determine 6*g(x) - 5*q(x). -x**3 - 3*x**2 + 9 Let j(x) = 6*x**2 - 7. Let y = 98 - 96. Let f(s) = 4*s**y - 8 + 4*s**2 + 2*s**2 - 3*s**2. Give -4*f(l) + 5*j(l). 2*l**2 - 3 Let d be 1*(-3)/6 - 162/(-36). Let r(w) = -4*w**3 + 19*w**2 - 7*w + 7. Let t(i) = -i**3 + 6*i**2 - 2*i + 2. Calculate d*r(z) - 14*t(z). -2*z**3 - 8*z**2 Let c(g) = -6*g + 12. Let u(a) = 5*a - 14. What is 6*c(h) + 5*u(h)? -11*h + 2 Let n(x) = -89*x**2 - 6. Let v(l) = 30*l**2 + 2. Give -3*n(i) - 8*v(i). 27*i**2 + 2 Let k(c) = 5*c**2 - 41*c + 6. Let x be k(8). Let u(t) = t**2 + t - 2. Let n(i) = -i + 3. Determine x*n(a) - 3*u(a). -3*a**2 - a Let d(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m + 1. Let q(b) = -6*b + 14. What is 11*d(y) - 4*q(y)? 2*y - 1 Let n(o) = -8*o. Let z(a) =
{ "pile_set_name": "DM Mathematics" }
Simplify (((z**9/z)/z**(-17))**(4/5))**21 assuming z is positive. z**420 Simplify (a*(a*a**8)/a*a**(1/9))/(((a*(a**(-11)*a)/a*a)/a)/a**5) assuming a is positive. a**(217/9) Simplify (u/(u/(u/((u/(u/(u*u/(u*u*u**(-2)*u))))/u))*u))**(-4)/((u**11*u)/u**(2/23)) assuming u is positive. u**(-274/23) Simplify ((z*z**(-18)/z)/z*z)/(z*z**(5/9)*z)*z**(-2/11)/z**(7/3) assuming z is positive. z**(-2284/99) Simplify ((p*p*(p*p**8)/p)/p*p*p/p**3*(p**(1/3))**(6/25))**14 assuming p is positive. p**(2828/25) Simplify (a*a**(-24/5))**(-14)/(a**(-2/3))**(2/111) assuming a is positive. a**(88598/1665) Simplify (((m/(m/m**(1/13)))/(m/(m**(2/33)*m)))**(-40))**27 assuming m is positive. m**(-21240/143) Simplify (z/z**(-6))**(-1/14)/(z**(1/2)/z**(-13)) assuming z is positive. z**(-14) Simplify (n*n/n**13*n*n**(8/9))/(n/(((n*n**(-1))/n)/n*n*n*n))**(-8) assuming n is positive. n**(-82/9) Simplify (d**(8/9)/(d*d**10*d))/(d**(-10)/(d/(d*d*d/(d*d**(3/11))))) assuming d is positive. d**(-182/99) Simplify (v**4)**(4/11)/((v/v**(2/17))/(v/v**16)) assuming v is positive. v**(-2698/187) Simplify ((i**(-5)*i*i)/i)**29*((i/i**5*i)/i)/i**17 assuming i is positive. i**(-137) Simplify (g/((g*g**7)/g))**(-10/9)*g**(-4)*g/((g*g**15)/g) assuming g is positive. g**(-34/3) Simplify (((l*l/(l/l**3))/l)/(l**(-1/4)*l)*((l/(l**2/l))/l)/(((l*l*l**(-4/9)*l)/l)/l))**(1/2) assuming l is positive. l**(25/72) Simplify ((d**(-3))**(-24)/(d**(-12)/(d/d**(1/4))))**(-1/5) assuming d is positive. d**(-339/20) Simplify (d**14/d*d)/(d**11*d*d)*d*(d/d**(-1/4))/d*d*d*d**8 assuming d is positive. d**(49/4) Simplify ((j*j**(-13/3)/j)/j**20)/(j/(j**(-7)*j)*(j*j*j**(-1/18)*j*j)/j) assuming j is positive. j**(-617/18) Simplify ((y*y**1)**(2/119)*y*y**(-6)*y*(y*y**(-3/5)/y)/y)**(1/3) assuming y is positive. y**(-1104/595) Simplify (t**(1/4))**(-1/15)*(t**(-3/8))**(-5) assuming t is positive. t**(223/120) Simplify (p*p*p/p**(7/2))**(1/31)/((p/(p*p**3/p))/p)**(35/2) assuming p is positive. p**(1627/31) Simplify ((((w**(1/3)*w*w)/w)**(-6/29))**(-16/7))**(3/8) assuming w is positive. w**(48/203) Simplify ((p**(-1/19)*p*p)/(p/((p*(p/(p/((p**(-10/3)/p)/p)))/p)/p)*p))/(p*p**(1/4)*p*p**(-23)) assuming p is positive. p**(3275/228) Simplify ((q**11)**(2/17))**(1/44) assuming q is positive. q**(1/34) Simplify ((o**(1/4)/o*o)/o)**(-38)*(o*o**(-13))/(o/(o/(o**(-2/63)*o))) assuming o is positive. o**(1957/126) Simplify ((w*((w**(-3/7)/w)/w*w)/w)**44)**30 assuming w is positive. w**(-13200/7) Simplify ((l*l**(-1/2))**(2/25)/(l**(-1)/(l*l/l**(1/2)*l)))**(-14/5) assuming l is positive. l**(-1239/125) Simplify (d**1*d**(-1/3)/d*d**5/d**(-6))**33 assuming d is positive. d**352 Simplify (t**11/t*t**(1/4)*t)/(((t*t/t**(-2/31))/t)/t*t*((t*t*t*t**5*t*t)/t*t)/t) assuming t is positive. t**(147/124) Simplify (d**(-2/7))**(-20/9)*(d**(-1/2))**28 assuming d is positive. d**(-842/63) Simplify (d*d/(d**(9/5)*d))/d**6*d/d**(-3/13)*d/d**9 assuming d is positive. d**(-882/65) Simplify (((d*((d**(-9/4)*d)/d)/d)/(d**(-2)/d))**(-4/5))**(-10) assuming d is positive. d**6 Simplify (r*r/(r**10*r))/r**(-1)*r**9/(r*r**6*r*r) assuming r is positive. r**(-8) Simplify u**(-2/15)*u/u**20*u**8*(u/u**(-1/2))/u assuming u is positive. u**(-319/30) Simplify s*s*s/s**14*s*s/(s/(s*(s**13*s*s)/s))*s*s*(s**4)**(-43) assuming s is positive. s**(-165) Simplify ((g**(-2)*g*g*g)**(-2/17)*((g*g**2)/g*g)**(-9))**(-1/7) assuming g is positive. g**(461/119) Simplify (g/(g*g*g**5*g))/g*g*(g**12*g)/g*(g/(g**(2/3)*g))/(g**(-6)/g) assuming g is positive. g**(34/3) Simplify (r*r**(-3)*r)**16*r*((r/(r*r*r**8*r*r)*r)/r)/r*r**(-1) assuming r is positive. r**(-28) Simplify (x*x**(-11))/(x/x**(-17/2)*x*x*x*x)*x**(-23)/x*x*x**24/x assuming x is positive. x**(-47/2) Simplify (x**(-1/6))**(9/7)*(x/x**0)/x**(3/2) assuming x is positive. x**(-5/7) Simplify (b**(-4)*b/b**(1/10)*(b**(2/3)*b)**(-35))**(29/3) assuming b is positive. b**(-53447/90) Simplify ((n/((n*n*n**(-1/2))/n)*n)/n**6)/((n*n*n**8)/(n**(-1/4)/n)) assuming n is positive. n**(-63/4) Simplify (m/m**(-2/47)*m)/((m/m**31)/m)*(m**(-5/12)/m)**(-8) assuming m is positive. m**(6257/141) Simplify (q*q**(-7)/q)**(-1)/(q*q**(-1/15)*q*q**(-1/21)*q) assuming q is positive. q**(144/35) Simplify n**(-4)*n*n**17*n*n*(n*n*(n*n**(-11)/n)/n)/n**(-2/11) assuming n is positive. n**(68/11) Simplify i**13*i*i*i**(-2/9)*i*i*(i/(i/i**(-3/14)))/(i*i**11) assuming i is positive. i**(575/126) Simplify ((g**(-1/2))**(-9/7)*g/(g/(g*g**(-7)/
{ "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
{ "pile_set_name": "DM Mathematics" }
235. Let u = 138 - q. Solve -10 + u = k for k. -3 Let r be (399/14 + -6)*(-72)/(-60). Solve 78 = -r*u + 14*u for u. -6 Let c(f) = 12*f + 4. Suppose 3*a + a = 52. Let r be a/(-26) + 6/4. Let v be c(r). Solve 0*g = -4*g - v for g. -4 Let m(j) = -j**3 + 17*j**2 + 4*j - 24. Let x be m(17). Suppose -9*b - 2*b + x = 0. Solve 2*p + 6 = b*p for p. 3 Let b be (-72)/(-9) - -3 - 8. Suppose -m + 4 = 0, 3*w + b*m - 16 = 2. Solve -21 = w*l - 9*l for l. 3 Let a = 201 - 176. Suppose 22*i - a*i + 12 = 0. Solve -5*s + 14 = i for s. 2 Let i be (5 - -1) + 147 + -6. Let o = i - 118. Solve o*x = 25*x for x. 0 Suppose -t + i = 2, 5*t - 894*i - 18 = -896*i. Let z = 2 - 1. Let y = z - -1. Solve 4 + y = -t*c for c. -3 Let b(f) = -f**3 - 2*f**2 - f - 23. Let p be b(-4). Let m(q) = -q + 24. Let l be m(p). Solve -l*n + 2*n + 27 = 0 for n. 3 Let p(q) = 14*q - 89. Let a be p(6). Let j be -130*(-1)/(-25)*a. Solve j*c + 12 = 23*c for c. -4 Let n(j) be the third derivative of j**5/30 - j**4/8 - 7*j**3/2 + 4*j**2 - 17*j. Let g be n(-3). Solve -g = -5*r - r for r. 1 Suppose -274 = 46*m - 826. Solve -6*o = m*o + 90 for o. -5 Let r(t) be the second derivative of -t**4/3 - 13*t**3/6 + 3*t**2/2 - 33*t. Let j be r(-3). Let s be 2 - (0 + -2 + j)/2. Solve s = -l + 2 - 7 for l. -5 Let m(u) = 19*u - 1617. Let c be m(86). Solve c*p = 184 - 269 for p. -5 Let r(v) = v**2 + 4*v - 140. Let c be r(10). Suppose -4*t = -8, 3*t + c*t - 14 = -2*l. Solve -8*d = -20 - l for d. 3 Let l(s) = -36*s + 83. Suppose -15*k - 3*u - 1 = -11*k, 0 = -2*k + 2*u + 10. Let z be l(k). Solve -4*p + z*p = 14 for p. 2 Let s be (3 - (5 + 5/(-1)))*12. Let n be 0/(-2)*s/(-108). Solve n = -0*v - 5*v - 5 for v. -1 Let n be ((94 - 4) + -5)/1. Suppose 2*f = -15*f + n. Suppose -5 + 20 = f*p. Solve 4*s - 5 = p*s for s. 5 Let x(s) = 19*s**2 - 7*s - 2. Let c be x(5). Let q be (-5)/20 - c/8. Let a = -51 - q. Solve a*p - 8 = 6*p for p. -4 Let p be -2 + 7/((-21)/(-15)). Suppose -12 = -3*d + g, 5*g + 9 = -3*d + 21. Solve 0 = p*h - 5*h - d for h. -2 Suppose -14*i + 14*i + 17*i = 0. Let m be (18/(-135))/(1/(-40))*3. Solve 51*f - 55*f + m = i for f. 4 Let y be (-2)/3 - 2912/(-273). Solve 787 = y*x + 727 for x. 6 Suppose -237*t = -262*t. Solve t*c - 92 = -23*c for c. 4 Let d(v) = 5*v + 5. Let i be d(-11). Let j = i + 51. Suppose 2*u + 3*h - 3 = 0, 4*h - 5 + j = -3*u. Solve u*t = -4*t - 8 for t. -2 Let y(h) = 38*h + 935. Let m be y(-19). Solve -m*r = -185*r + 252 for r. -9 Let d(w) = w**2 - 10*w + 10. Let i be d(11). Let t = -21 + i. Let y be -14*(2 - 3) - 12. Solve g = -t*g - y for g. -2 Suppose 5*t + 3*t = -512. Let r = 64 + t. Let a be 8/(-5)*(r - 10). Solve -4*g + 0*g = -a for g. 4 Let w be (7 - 116/(-16))*(-104)/(-39). Solve -w*j = -44*j + 24 for j. 4 Let l be ((-816)/(-187))/24 + (-207)/(-11). Solve l*n = 27*n - 40 for n. 5 Suppose 52 = 9*b - 11*b. Let p be (b/36 - (-8)/36)*-2. Let u be (1/(4 + -5))/(p/(-5)). Solve -u = i - 4 for i. -1 Suppose -13*y + 15*y - 96 = -30*y. Solve y*a + 114 = 126 for a. 4 Let u = 5952 - 5938. Solve u*y + 84 = -7*y for y. -4 Let q(n) = n + 4. Let o be q(-2). Suppose 0 = -o*c - 21*c + 46. Solve h = c*h + 4 for h. -4 Suppose 4*y - 28*u = -23*u + 209, 5*u = 5*y - 255. Solve y*s - 352 = 90*s for s. -8 Let z = -2620 + 1840. Let t be (3/2)/((-117)/z). Solve 5*q + 10 + t = 0 for q. -4 Let t be (3304/140 - 16)/((-1)/(-5)). Solve -15 = 43*a - t*a for a. -3 Suppose -k - 9 = -2*a - 0*k, 0 = 3*a - 4*k - 11. Suppose -4*u + 45 = -5*y + 2, 65 = 5*u + a*y. Solve -13*g = -u*g + 2 for g. -2 Let k(d) = -d**2 + 11*d - 26. Let y = -242 - -249. Let g be k(y). Solve -7 = g*v - 5 for v. -1 Let j = 335 - 359. Let m be j*(2/(-6))/1. Solve 4*h + m = 6*h for h. 4 Let m = -25887 - -25887. Solve -3408*j + 3416*j - 40 = m for j. 5 Let p = -816 - -840. Solve 0 = -11*n + 20 + p for n. 4 Let q(w) = -w + 50. Let z be q(35). Suppose 0 = z*i - 20*i + 15. Solve -f - 2 - i = 0 for f. -5 Let j be 2/(-9) + 3310/(-90). Let u = 42 + j. Suppose 0*n + 4*n + 20 = -5*h, n = 4*h - u. Solve h*d + 2*d - 4 = 0 for d. 2 Suppose 0 = -2*f + 9*a - 11*a + 76, -3*f + 5*a = -130. Solve 2 = 14*x - f for x. 3 Let u = -68 - -72. Let v be (-
{ "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,
{ "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.
{ "pile_set_name": "DM Mathematics" }
+ 4*t) - 4*t**4 - t**4 + 3*t**4 as m + d*t**3 + o*t**4 + x*t**2 + l*t and give d. 0 Express 154*u - 242*u + 1 + 1 - 2 in the form o*u + w and give w. 0 Rearrange -3 + 171*x**2 + 3 + 8 - 169*x**2 - x + 1 to h + f*x**2 + o*x and give h. 9 Express -2*d**3 + d**2 + 11 - 8 - 4 - 12*d**4 + 7*d**4 as k + s*d**3 + t*d + i*d**2 + h*d**4 and give i. 1 Rearrange (2*l**2 - l**2 - 2*l**2)*(-274 - 14 - 31) to y*l + u*l**2 + o and give u. 319 Rearrange -4*p**3 + 7*p**3 - 7*p**2 + 0*p**3 + 6*p**2 - p + 32*p**2 to the form d*p + s + a*p**3 + z*p**2 and give d. -1 Express (-g + 3*g + 0*g)*(14*g + 0*g + 3*g)*(4 - 3 + 6*g**2 + 2) in the form p*g + f + x*g**3 + m*g**2 + q*g**4 and give q. 204 Rearrange 234*g**2 - 590*g**2 + 290*g**2 + 1 to r*g + x + a*g**2 and give x. 1 Express -30*b**2 + 70*b**2 - 134*b**2 - 129*b**2 as q*b + u*b**2 + a and give u. -223 Rearrange -250*c + 130*c + 291 + 125*c to the form a + x*c and give x. 5 Rearrange 0*z**2 + z**2 + 2*z**2 + (-2*z - 88 + 163 - 121)*(3*z + 0*z - 4*z) to p*z**2 + n*z + x and give p. 5 Rearrange (-2*d + 3 - 3)*(0*d + 0*d - 2*d) - 5*d**2 + 5*d**2 + 2*d**2 - 5 + 5 + 7*d**2 + 20*d**2 - 6*d**2 - d**2 to x*d**2 + t*d + n and give x. 26 Express -40 + 105 - 34 - 5*u**2 - 34 - 3*u as c*u**2 + g + q*u and give g. -3 Express (-5 + 4 + 2)*(-7*z + 8823 - 17602 + 8617) as n*z + x and give x. -162 Express y**2 + 9 - 3*y**2 - 10*y**2 - 3*y**2 in the form s*y**2 + x*y + t and give t. 9 Rearrange (27 + 4 + 16)*(-9*m - 12 + 12)*(-m - 3*m + 2*m) to c*m**2 + f + y*m and give c. 846 Rearrange -126 - 2*p + 4*p**3 + 125 + 50*p**4 + 0*p**3 - 4*p**3 to the form u + x*p + r*p**3 + k*p**2 + o*p**4 and give x. -2 Express (3 + 2 - 7)*(8 - 8 - 12*j)*(-3*j - 4*j + 4*j) as d*j + m + b*j**2 and give b. -72 Express (-2*x + 4 - 4)*(2 + 2 - 6)*(-37*x - 30 + 20*x + 19*x) as h*x + r*x**2 + m and give h. -120 Rearrange (-4 + m + 0 + 5 + (0 + 0 - m)*(23 + 17 - 14))*(-2 + 1 + 0) to the form k + q*m and give q. 25 Rearrange -2*j**4 + 6*j**2 - 29*j**3 + 29*j**3 - 5*j**3 - 10*j to n + g*j**3 + k*j**2 + r*j + y*j**4 and give y. -2 Rearrange -3*i**3 - 75*i - 22*i**4 + 40*i + 33*i + 4*i**3 to h*i**4 + l*i + w*i**2 + c + q*i**3 and give q. 1 Express -4*v + 2*v**4 + 3*v**3 - 5*v**3 - 8*v**3 + 0*v**4 + 8*v**3 in the form d*v**3 + j*v + p*v**4 + k + q*v**2 and give j. -4 Express (u**2 + 6 - 6)*(-2 + 0 + 3)*(-22*u - 27 + 27) in the form t*u + p*u**2 + b*u**3 + d and give p. 0 Rearrange (-3*s + s + 0 - 1)*(-12299 + 2*s + 12455 - s) to n*s + c + f*s**2 and give n. -313 Rearrange (-1 + 6 - 1)*(-70*c - 76*c - 59*c + 65*c) to i*c + z and give i. -560 Rearrange -7882 + 7882 + 27*n**4 + (-n**3 + 0*n**3 + 5*n**3)*(n + n + 0*n) + n**4 + 3*n - 3*n to the form l*n**4 + y + b*n**2 + f*n**3 + r*n and give l. 36 Express ((4 - 4 - 2*x)*(3 - 2 + 0) + x - 2*x + 2*x)*(-11 - 77 - 28) as a + b*x and give b. 116 Rearrange (k - 2*k - 2*k)*(4 + 4 - 3) + (1 - 4 + 2)*(0*k - 8*k + 2*k) + (0 + 0 + 2*k)*(0 + 0 + 1) to the form d*k + j and give j. 0 Rearrange -9*w**3 - 14*w**2 - 3*w**3 - 4*w + 10*w**3 - 53*w**4 + 2*w + 18*w**2 to h*w**4 + x*w + g + d*w**3 + z*w**2 and give x. -2 Rearrange 3*x**4 + 3*x**3 - 14 + 7 + 9 + 4*x - 3*x**3 + 2*x**3 to p*x**2 + c*x**3 + k*x**4 + d + n*x and give k. 3 Rearrange -19*n + 3598*n**3 - 1808*n**3 - 1798*n**3 to c*n**2 + s*n**3 + o*n + f and give o. -19 Rearrange 6*h + 46*h**3 - 85*h**2 - 77*h**3 + 85*h**2 to q*h**2 + y + a*h + d*h**3 and give d. -31 Express y**4 - y**2 - 4*y**3 + 7*y**3 + 4 - 4 - 1 in the form v*y**3 + z*y + u + o*y**2 + k*y**4 and give k. 1 Express -22*t**2 + 2 + 822*t**3 + 20*t**2 - 821*t**3 as b*t + q + h*t**2 + m*t**3 and give m. 1 Express 32*b**3 - 3*b**2 + 267*b + 277*b - 542*b as v*b + o + s*b**3 + j*b**2 and give s. 32 Rearrange (3*x + x - 2*x)*(-26 + 80 + 52)*(-4 - 1 + 3) to the form w*x + r and give r. 0 Rearrange (-4 + 3 - 3)*(-15*l - 10*l + 18*l) + 23*l + 15*l + 17*l - 20*l to o + i*l and give o. 0 Express -2206*w + 1108*w + 1105*w + 47 in the
{ "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. 5265485
{ "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
{ "pile_set_name": "DM Mathematics" }
7) a multiple of 25? True Suppose -2*s - 5*i - 5 = 0, 6*s - i - 28 = s. Suppose -3*n - s*y + 167 = -n, 0 = 3*n - y - 225. Is n a multiple of 19? True Is 16 + -18 + -1 + -1 + 2620 a multiple of 18? False Let q(z) = z**2 + 1. Let d be q(-2). Suppose 5*f + l - 1050 = d*l, 0 = -5*f + l + 1035. Is f a multiple of 10? False Let j(k) = -65*k - 13. Let f be j(-10). Suppose -3*o = -f + 7. Is 35 a factor of o? True Let y = 2145 + -1405. Is 5 a factor of y? True Is -10*(-12)/60*54 a multiple of 18? True Let a(w) = -w**2 - 7*w - 2. Let p be a(-3). Suppose -p*c + 5*c = 395. Let l = c - -119. Is l a multiple of 13? False Let f = -1893 + 3378. Is 33 a factor of f? True Does 21 divide (2 + 1)*(-213)/(-9)? False Let u(r) = -r**3 + 8*r**2 + 3*r + 3. Suppose -4*c + m = -37, m + 19 = -0*c + 2*c. Let s be u(c). Let w = 73 + s. Is w a multiple of 9? False Let h(m) = m**2 + m + 70. Does 16 divide h(39)? False Does 8 divide -1 - -6*27*3/6? True Suppose -3*m - 759 = -4539. Is m a multiple of 7? True Let l be (3 + 3577)/(2/(-4)). Does 12 divide (-8)/(-10) - l/50? True Let p = 6 + -1. Suppose 3*b - 2 = p*x, -2*x - 4*b = -5*b. Suppose -x*j - 17 = -3*j. Is j a multiple of 4? False Suppose 47 = 5*x - 2*q, -7 = -3*q + 5. Let u(a) = x - 4*a + 7 + 2 - 2. Is u(-6) a multiple of 14? True Let l(i) be the third derivative of -i**6/30 - i**5/15 + i**4/8 + 5*i**3/6 + 8*i**2. Suppose f - 1 = -4*d, -3*f - 1 = -4*d + 12. Does 14 divide l(f)? False Is 18 a factor of 52/39 + (-1451)/(-3)? False Let i(z) = -z - 1. Let t(b) = 13*b**2 + 2*b + 1. Let p(v) = 4*i(v) + t(v). Does 19 divide p(-2)? False Let r be 2/(-2 - 147/(-73)). Let s = 64 + -166. Let c = s + r. Does 11 divide c? True Let w = 25 + -21. Suppose 5*q - a - 11 = 49, 34 = w*q + 2*a. Does 6 divide q? False Let j(x) = -3*x**3 + 29*x**2 + 11*x + 10. Let a(w) = w**3 - 10*w**2 - 4*w - 3. Let l(t) = 11*a(t) + 4*j(t). Let s = 11 + -6. Is l(s) a multiple of 16? True Let p = 49 - 7. Let b = 22 + -32. Let t = p - b. Does 26 divide t? True Suppose 4*o + 1152 + 1032 = 2*b, -1107 = -b - o. Does 19 divide b? True Let j = 491 - 451. Is j a multiple of 29? False Let m(u) = u**3 - 6*u**2 - 8*u + 5. Let v be m(7). Let a be (-40)/(-1 - v)*-1. Suppose x - a = -x. Is x a multiple of 10? True Let f = 1 + -2. Let z(p) = -117*p - 3. Is z(f) a multiple of 15? False Let m = 14 - 10. Suppose -m*j + 4*l + 68 = 2*l, -2*j = -4*l - 46. Suppose 0 = -3*d + j - 0. Does 5 divide d? True Let i(v) = -399*v - 2. Does 33 divide i(-1)? False Is 8 a factor of 0 - (3 - -1)*80/(-5)? True Let o = 150 - -327. Is 5 a factor of o? False Suppose 5*r - y = 4*y + 5, -r - 7 = y. Let p be 4 - (-5 - (r + 0)). Is 11 a factor of (99/(-6))/(p/(-12))? True Let a = 13 - 8. Suppose -1 + 25 = 3*t + 3*b, -a*t = 2*b - 25. Suppose 3*h - u - 128 = 0, 0 = -3*h + t*u + 69 + 51. Is h a multiple of 11? True Let k be 2/11 - 92/22. Is 14 a factor of (k/10 - (-1968)/20)*2? True Let w be ((-4)/(-5))/((-4)/(-30)). Let p = 256 + -187. Suppose 9*i - w*i = p. Is i a multiple of 12? False Let g = 2592 - 2127. Does 31 divide g? True Suppose 4*o - 16 = 0, 5*u - 4*o = 818 + 886. Does 8 divide u? True Suppose -68 = -7*g - 19. Suppose 0 = g*k - 481 - 317. Is k a multiple of 19? True Suppose -5*d = 74 + 66. Let q = -28 - d. Does 30 divide ((-264)/(-3) - q) + 2? True Let k be (4/(24/(-9)))/((-6)/8). Does 31 divide (4/(4/k))/(10/465)? True Let y = -55 + 51. Does 6 divide 913/8 + (231/(-56) - y)? True Suppose -10*b = -17*b + 490. Is b a multiple of 7? True Let k be ((-154)/(-55))/((-2)/10). Let j be 8/(-28) - 1894/k. Let a = j - 96. Is a a multiple of 13? True Let v = -163 + 342. Suppose l - 2*i + v = 0, -185 = l + 3*i + i. Let o = l - -255. Does 18 divide o? False Does 3 divide ((-105)/40)/((-2)/16)? True Let q(f) = 6*f**2 + 4*f - 58. Is 6 a factor of q(-6)? False Let z(g) = 29*g + 6. Let m be z(6). Suppose -3*s - 2*s = -m. Is 15 a factor of s? False Suppose -73159 - 7553 = -19*x. Is x a multiple of 118? True Let q(d) = -d**2 + 3*d + 1. Let r be q(0). Is 4 a factor of ((-45)/(-6) - r)*32/4? True Let i(k) be the second derivative of k**4/12 + k**3/2 - k**2 - 5*k. Let n be i(-4). Suppose 4*y = 3*g - 61, n*g + y - 27 - 10 = 0. Does 10 divide g? False Let u = 244 - 139. Is u a multiple of 35? True Let j(i) = -i**2 - 12*i + 57. Does 16 divide j(-8)? False Does 17 divide 6/2*(154 - -16)? True Let u(x) = 6*x**2 + 3*x + 1000. Is 50 a factor of u(0)? True Let r be 6*(75/6)/5. Suppose -10*i = -7*i + w - 780, -i - 3*w = -260. Is 7 a factor of i/6 - 20/r? True Let j(z) = -z**2 + 10*z + 0*z**2 + 1 + 4. Suppose 2*
{ "pile_set_name": "DM Mathematics" }
3). Is r not equal to 4/9? True Suppose -7*p = -11*p + 36. Which is smaller: p or 0? 0 Let y = 15 + -9. Let a(f) = f**3 - 7*f**2 + 6*f. Let s(p) = p**3 - 7*p**2 + 6*p - 1. Let o(h) = -4*a(h) + 3*s(h). Let b be o(y). Which is bigger: b or -0.1? -0.1 Let d = 121 - 131. Let g = -15/7 + 52/21. Which is smaller: d or g? d Suppose 2*k + 14 = 2*g, 8*g - 3*k = 3*g + 31. Suppose -p + d - 10 = -6*p, 2*p + g*d - 27 = 0. Which is bigger: 3/4 or p? p Let w = -1.01 - 20.49. Let j = w + 21. Which is smaller: j or -0.1? j Let z = -1 + 1. Suppose 0 = -z*c + 2*c + 4. Let m = -3 + 1. Is c > m? False Let l = 4 - 0. Suppose 5*n + 1 = -l. Which is smaller: n or 0? n Let c(t) = -t**3 - 5*t**2 - 6*t - 5. Let k be c(-4). Let m be -6*((-6)/4)/3. Let a = k - m. Is a bigger than 3/5? False Let o be 2/(-3) - (-1 + 14). Let f = o + 199/15. Is 0.2 less than or equal to f? False Let v = 14 - 18. Which is bigger: -15/4 or v? -15/4 Let s be (-6)/(-14)*(-21)/(-6). Let u = s - 1. Is u greater than or equal to 1? False Let l be (-64)/10 + 4/10. Let k be (2/l)/(7/(-42)). Is k at most 2? True Suppose 5*x = 33 + 87. Is x equal to 24? True Let r = 14 + -10. Let s = -3 + r. Let n = -11 + 67/6. Is s equal to n? False Let c be 3 + (-87)/27 + 8/18. Which is greater: 0 or c? c Suppose 12*m + 5 = 13*m. Does -3 = m? False Let y be 572/2100 + (46/(-14) - -3). Do 1 and y have different values? True Let s(n) = -n**3 + 2*n**2 + 3*n + 2. Let m be s(3). Let b(a) = -m + 4*a + 4 + 1. Let g be b(-2). Which is greater: -3 or g? -3 Let t = 52 - 41. Which is smaller: t or 12? t Let j = -0.02 - 31.98. Which is bigger: j or 1/4? 1/4 Suppose 2*m - 4*v + 8 = 0, -3*m + 5*v = -0*m + 8. Suppose -m*d = 5*t - 44, -4*d + 14 = 3*t - 6. Let y = t - 81/7. Is 0 not equal to y? True Let o = -0.9 + 1. Let s = 3 + -3.1. Let d = s - -0.3. Which is bigger: d or o? d Let a = 109 + -78. Which is greater: a or 33? 33 Suppose -5*p - 318 = -2*w, -4*w - 196 = 3*p - 26. Is p <= -64? False Let g = -0.919 - 0.081. Let l = -2 - -3. Which is bigger: l or g? l Let j(p) = -p**2 - 5*p - 3. Let y be j(-4). Let n be 7/(-9) - 2/(-2). Which is smaller: n or y? n Let u = -17.2 + 16. Let b = u + 1. Suppose -q = -2*q - 1. Which is greater: q or b? b Let a be 4 + -11 + (-2 - (4 - 2)). Is -9 < a? False Let u be (-6)/66 - 0/(-2). Which is smaller: u or -1? -1 Let s = 1.3 + -0.3. Let m = 3.02 - 3. Let a = 2.02 - m. Is s != a? True Let a be (2/8 + -1)*-4. Suppose -5*m + 2 = -a. Suppose m - 2 = u. Is -2/3 > u? True Suppose 0 = -15*o + 14*o - 1. Which is bigger: o or -2/85? -2/85 Let t = 3.3 + 13.7. Is -2/3 != t? True Let c = 301/104 - 36/13. Let s(f) = f + 2. Let l be s(-2). Suppose 7*h - 6*h = l. Do c and h have the same value? False Let u = 147/13 + -10117/897. Which is bigger: -1 or u? u Let d = -1 - -1. Let g(j) = j**2 + 130. Let y be g(0). Let i be ((-4)/y)/(2/10). Which is bigger: d or i? d Let a = -31 + 31. Which is bigger: a or 1/17? 1/17 Let a be 1/(-4) - (-486)/(-24). Let k = a - -22. Are 1 and k non-equal? True Let s = 190 + -204. Which is smaller: s or -8? s Let o be (-16)/(-40) + (-21)/40. Are 0 and o non-equal? True Let v(o) = 3*o**3 - 3*o**2 + 3*o - 2. Let d(s) = 4*s**3 - 4*s**2 + 3*s - 2. Let q(z) = 4*d(z) - 5*v(z). Let m be q(2). Suppose m*x = -x. Are -3/4 and x equal? False Suppose 109 = -6*p - 11. Is p less than -19? True Let f(t) = t - 1. Let a be f(-3). Let j = 6 + a. Suppose j*h = -3*h. Is h greater than or equal to -2/15? True Suppose 132 = 5*s + 3*y, 2*s + 124 = 7*s + y. Is 24 at most as big as s? True Suppose 0 = -4*t - 1 + 25. Suppose -3*r = -4 - 14. Is t > r? False Suppose 4 = -13*o + 11*o. Suppose 0 = m + u + 4*u + 27, -2*m - 5*u = 34. Which is bigger: o or m? o Let n = 0 + 24. Which is greater: n or 1? n Suppose 2*z + 3*k = -6 - 7, -z - 8 = 2*k. Suppose 0 = 4*b + 4, 3*w - 2*b = -b - 5. Is z <= w? True Let i = 0.14 + -0.14. Does i = 20? False Let j = 110 + -314/3. Is 4 at least j? False Let q = -0.83 + 0.93. Let y = 3.1 - 3. Is q at least as big as y? True Let n be 2/13 - (-201)/(-39). Which is greater: -4 or n? -4 Suppose v = 2*v. Let i = -1/257 - -269/3084. Which is smaller: i or v? v Let j be (-1)/(-10)*-2*1. Which is smaller: 4 or j? j Let y be -27 + 3 + 3 - -3. Let c be (27/y)/(-12 + 0). Let t = -2 + 3. Are t and c unequal? True Let m = 10 - 14. Is -5 at most as big as m? True Let z = -2 + 3. Let c = -14 - -10. Let o = c - -7. Which is bigger: o or z? o Let v(j) = j
{ "pile_set_name": "DM Mathematics" }
00 Let z = -95874.9147146 + 96020.9147. Let i = 146 - z. Round i to five dps. 0.00001 Let c = -108 - -113. Let f(s) be the first derivative of -s**4/4 + s**3/3 + 5*s**2/2 + 7*s - 3. Let z be f(c). Round z to the nearest 10. -70 Let w = -114.21 + 0.21. Let i = -2152969882.0000279 - -2152969996. Let y = w + i. Round y to 6 decimal places. -0.000028 Let b = -2.6417 - -2.383. Let q = -0.254 - b. Round q to one dp. 0 Let f = 39.5 + 5.3. Let h = -6.2 - f. Let a = -51.0000092 - h. Round a to six decimal places. -0.000009 Let v = 170821 - 170845.7357. Let s = v - -0.0357. Round s to the nearest 10. -20 Let j = 0.3443 + 74.5957. Let z = j - -0.06. Let a = -64.6 + z. What is a rounded to the nearest integer? 10 Let m = -11.1 + 6.2. Let v = m + 53.9. Let f = v + -49.0276. What is f rounded to two dps? -0.03 Let r(t) = -64643*t + 103. Let b(m) = 32322*m - 50. Let k(j) = 9*b(j) + 4*r(j). Let x be k(13). Round x to the nearest 100000. 400000 Let p(g) = -495*g - 9. Let q be p(-7). Suppose a - h - 2056 = -5*h, 2*a = 3*h + 4112. Let z = a - q. Round z to the nearest 100. -1400 Suppose -130621 = 19*y + 24419. Let r be (y/(-20))/(6/(-2000)). Round r to the nearest 10000. -140000 Let s = -30234821037835 - -30235267673819.000227. Let q = 446635717 - s. Let m = 267 + q. Round m to 4 dps. -0.0002 Let k(s) = -163*s**3 - 16*s**2 + 4*s + 10 - 9*s**2 + 46*s**3. Let t be k(-20). Let g = t - 650930. What is g rounded to the nearest ten thousand? 280000 Let z(a) = 12622*a**3 + 12*a**2 - a - 408. Let v be z(-24). What is v rounded to the nearest 1000000? -174000000 Let n = -285 + 278.3. Let p = n - -6.699981. What is p rounded to 5 decimal places? -0.00002 Let g = -1067.94127005 - 0.10762995. Let l = g - -1068. Let x = l - -0.044. Round x to 3 decimal places. -0.005 Let f = -111.3 + 136. Let j = 23.64 - f. What is j rounded to one decimal place? -1.1 Let d = -378.93 + 377. Let k = -34.588 + -3.982. Let m = k + d. What is m rounded to the nearest 10? -40 Let o = 872.203 + 1.797. Let i = 911.7 - o. What is i rounded to the nearest ten? 40 Let q = 118.814 + 0.186. Let r = -118.99999634 + q. Round r to 7 decimal places. 0.0000037 Let a = 14208.9999988693 + -14209. Round a to seven dps. -0.0000011 Let d = -3257160.9191807 - -3255420.9191. Let c = 1740 + d. Round c to 5 dps. -0.00008 Let o = -12.74624 + -0.13576. What is o rounded to the nearest integer? -13 Let i = 1824641928555629.99999984 - 1824641439525637. Let x = i - 489030065. Let u = -72 - x. Round u to 7 dps. 0.0000002 Let u = -22.4595 + 0.1395. Let v = 33 + -11. Let w = v + u. Round w to one dp. -0.3 Let z = 260657 + -260659.27522. Let u = 4387.28 - 4385. Let o = u + z. Round o to 4 decimal places. 0.0048 Let o = -105.09 - -105.096533. Round o to 4 decimal places. 0.0065 Let i = 12877.704 + -12650. Let r = -229 + i. Let h = r - 0.024. What is h rounded to one dp? -1.3 Suppose 9 = -3*h + 15. Let a be ((-8)/2)/4 + (h - 0). Let s be -1 - (a/2 + 406/4). What is s rounded to the nearest 10? -100 Suppose -r = 5*g - 6863560, 126544 = 5*g + 5*r - 6736996. Let p = g - 252713. Round p to the nearest one hundred thousand. 1100000 Let p = 49.5 - -9.5. Let y = -59.1 + p. Let d = -6.5 - y. What is d rounded to the nearest integer? -6 Let v be (3*(-2010)/(-135))/(1/300). Round v to the nearest 10000. 10000 Let l = 10841 - 10841.29141. What is l rounded to two decimal places? -0.29 Let a = 0.2536 + 0.0124. Let z = a - 11.326. What is z rounded to 0 dps? -11 Let l = 0.169 - 43.469. Let x = l - -80. Round x to the nearest integer. 37 Let z(i) = 302*i + 2415. Let s be z(-31). Round s to the nearest 1000. -7000 Let x = 4.4368379 - 4.439. What is x rounded to five dps? -0.00216 Let c = 6136.71 + -6110. Let k = c - 26.715665. Round k to four dps. -0.0057 Let o = -6.7 - 47.3. Let s = -266.29997428 - -212.2999729. Let z = o - s. Round z to 7 dps. 0.0000014 Let h = 2697700 - 2697814.99754. Let l = 115 + h. What is l rounded to four decimal places? 0.0025 Let u = 0.027742 - -357.202258. Let a = u + -1.23. Let h = a + -355.999771. What is h rounded to 4 dps? 0.0002 Let u = -22.1 + 24.775. Let t = -0.035 - u. What is t rounded to 1 decimal place? -2.7 Suppose 110 = 11*q - 6*q. Suppose q*s + 1802500 = -3*s. What is s rounded to the nearest 10000? -70000 Let o = -266 + 270. Suppose -3*g = o*j + 82816, 4*g = -5*j + 2*j - 110412. Round g to the nearest 10000. -30000 Let i = 84.2 + -50.04. What is i rounded to the nearest one hundred? 0 Suppose 5*r = 0, -j - 9 = -4*j - 2*r. Let p be (-2)/j - (-654380)/12. Let n = -192531 + p. What is n rounded to the nearest ten thousand? -140000 Let j = 212 + -203.3. Let t = 8.699998183 - j. Round t to 6 dps. -0.000002 Let k(m) = m**3 - 2*m**2 - 14. Let l be k(0). Let x be (-7)/(l/580)*(-4 - 32). Let p = 1010440 + x. Round p to the nearest 1000000. 1000000 Let a = 8 - 3.1. Let i = a - 4.9566. Let o = 0.
{ "pile_set_name": "DM Mathematics" }
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