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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" }
five decimal places. 0.00154 What is 0.00000792624997 rounded to seven dps? 0.0000079 Round 257288055.8 to the nearest 1000000. 257000000 Round -86.570915 to 2 decimal places. -86.57 Round -405896.05 to the nearest 10. -405900 What is 0.001349069604 rounded to 5 decimal places? 0.00135 Round 0.00080861227 to 4 decimal places. 0.0008 What is -864112.47 rounded to the nearest ten thousand? -860000 What is 103.224213 rounded to the nearest integer? 103 Round 0.00018860007 to seven dps. 0.0001886 What is -838.300967 rounded to one dp? -838.3 What is -1173722.04 rounded to the nearest 100? -1173700 What is -409843663.1 rounded to the nearest 100000? -409800000 Round 266.4766877 to the nearest ten. 270 Round 0.001679984555 to seven dps. 0.00168 Round -0.0000174255586 to 7 decimal places. -0.0000174 Round -1262201572.7 to the nearest 100000. -1262200000 Round 2954.987919 to one dp. 2955 Round 0.003264251651 to 4 dps. 0.0033 What is -5128.9584 rounded to 0 dps? -5129 Round -314614.7312 to the nearest one hundred. -314600 What is 46976.9874 rounded to the nearest one thousand? 47000 Round 0.67203265 to 3 decimal places. 0.672 What is -0.1078767247 rounded to 5 decimal places? -0.10788 What is -2011256 rounded to the nearest one hundred thousand? -2000000 Round -675.0932088 to 2 dps. -675.09 Round -0.000003019282518 to six dps. -0.000003 Round 266826292.3 to the nearest one hundred thousand. 266800000 Round 0.132228765 to 3 dps. 0.132 What is 0.036221244 rounded to 4 decimal places? 0.0362 What is 119.5476794 rounded to the nearest 10? 120 Round 0.00067240063 to six decimal places. 0.000672 What is -490578.6318 rounded to the nearest one hundred thousand? -500000 What is 0.00003730308 rounded to five decimal places? 0.00004 What is -0.654006456 rounded to the nearest integer? -1 What is 933179196.1 rounded to the nearest 1000000? 933000000 What is -0.046193803 rounded to 3 decimal places? -0.046 Round 163.896023 to the nearest integer. 164 What is -764.28901 rounded to the nearest one hundred? -800 What is -3293670785 rounded to the nearest one hundred thousand? -3293700000 Round 7371735400 to the nearest one million. 7372000000 What is -556723.03 rounded to the nearest one hundred? -556700 What is 0.3744888367 rounded to four dps? 0.3745 What is -0.53058051 rounded to 2 dps? -0.53 Round -0.02015875937 to four decimal places. -0.0202 Round -2.973281555 to one decimal place. -3 Round -0.29004761 to two decimal places. -0.29 What is 0.00048418818 rounded to 4 decimal places? 0.0005 Round -0.00000526529519 to six decimal places. -0.000005 Round -0.000000172229324 to seven decimal places. -0.0000002 What is 0.0045873602 rounded to four decimal places? 0.0046 Round 0.0155667342 to 4 dps. 0.0156 Round 0.001140213006 to 7 decimal places. 0.0011402 What is -954.75388 rounded to zero dps? -955 What is 0.00474348041 rounded to 3 decimal places? 0.005 What is 0.0000529491168 rounded to 7 decimal places? 0.0000529 Round 939575428 to the nearest 1000000. 940000000 What is -8172014.289 rounded to the nearest one thousand? -8172000 What is 67.1460111 rounded to 2 dps? 67.15 Round 2225266.161 to the nearest 100000. 2200000 Round 0.03245930611 to 4 decimal places. 0.0325 Round 0.5383375427 to 1 dp. 0.5 Round 14816.3204 to 0 decimal places. 14816 Round -0.0000126953934 to 5 dps. -0.00001 What is -0.00001917488 rounded to six decimal places? -0.000019 What is 7757489.72 rounded to the nearest 100000? 7800000 Round 0.00275117791 to seven dps. 0.0027512 What is 82935590 rounded to the nearest 1000000? 83000000 What is -608830.5 rounded to the nearest one million? -1000000 Round -2723335150 to the nearest one hundred thousand. -2723300000 Round -32289.349 to the nearest 100. -32300 Round -15040.9319 to the nearest 100. -15000 What is -0.000289196191 rounded to 6 dps? -0.000289 Round 372273.105 to the nearest ten thousand. 370000 What is -0.00000708608915 rounded to six dps? -0.000007 Round -220713.807 to the nearest 100000. -200000 Round 136149.828 to the nearest 100. 136100 Round 33257.4807 to the nearest 100. 33300 Round 10832.581 to the nearest 100. 10800 What is -145350.6735 rounded to the nearest one thousand? -145000 Round -9.1040652 to three decimal places. -9.104 What is 34.5043996 rounded to one decimal place? 34.5 Round -0.004829987152 to seven decimal places. -0.00483 What is -53215.98154 rounded to the nearest integer? -53216 Round 24236.382 to the nearest 10. 24240 What is 74845.26919 rounded to the nearest one hundred? 74800 Round -36387368180 to the nearest 1000000. -36387000000 Round -2.95150479 to four dps. -2.9515 What is 0.00124371264 rounded to four dps? 0.0012 Round 48.32041226 to three decimal places. 48.32 What is 0.202657161 rounded to three dps? 0.203 What is -3.34927 rounded to two dps? -3.35 Round -0.039027664 to three dps. -0.039 What is 32819.5864 rounded to the nearest 1000? 33000 Round -12.03498912 to 3 decimal places. -12.035 Round 2602.09498 to the nearest one hundred. 2600 What is -0.02211134739 rounded to 4 dps? -0.0221 Round 10655248500 to the nearest one million. 10655000000 What is -199102.9684 rounded to the nearest 1000? -199000 Round -0.0000246696811 to 6 decimal places. -0.000025 Round 4184.233626 to the nearest one thousand. 4000 What is 56798152.37 rounded to the nearest ten thousand? 56800000 Round 82527405 to the nearest 100000. 82500000 What is 299781.94 rounded to the nearest 10000? 300000 What is -0.1279045754 rounded to two dps? -0.13 What is 14327343.25 rounded to the nearest ten thousand? 14330000 What is 0.000001885605697 rounded to 7 dps? 0.0000019 Round -0.0002691452 to 3 decimal places. 0 What is 48961.2208 rounded to the nearest one thousand? 49000 What is 35899479.41 rounded to the nearest 10000? 35900000 What is -4630.6586 rounded to the nearest one thousand? -5000 Round 0.00000603699215 to seven decimal places. 0.000006 Round 0.01552909737 to seven decimal places. 0.0155
{ "pile_set_name": "DM Mathematics" }
5. Let b be (-105)/(-10)*6/k. Let y be (-3)/1 + (-196)/b. Solve -y = 4*u + 3*v, -2*v + 5*v = -2*u - 17 for u. -4 Suppose 8 = t + t. Suppose 9*g - 5*g = 0. Let z be g/5*-1 - -2. Solve d + o = -0 - 1, z*d - o - t = 0 for d. 1 Let v(r) = 2*r + 7. Let o be v(-5). Let y be (-1)/(o + 10/4). Suppose -2*n = y*m + 2, 2*n - m = 5*n - 3. Solve 3*g + 23 = -2*w - 2*w, 0 = 4*g + n*w + 24 for g. -5 Suppose -4*l + 3*h + 4 = 0, -2*l + 4*h = 28 - 20. Solve l = 4*f - 3*d, 3*f - 13 - 1 = 5*d for f. -2 Let v(b) = -4*b + 35. Let m be v(11). Let f be (9/(-6))/(m/24). Solve -21 = k - f*h, -6 = -2*h + 2 for k. -5 Let w = -8 - -12. Let a be 4 - ((-1 - -3) + -2)/(-1). Suppose a*f = 4*y + 23 + 9, 12 = -3*y. Solve f*x + 6 = -2*h, 5 = -x + w for h. -1 Suppose 3*c = 12, -2*d - 5 + 29 = 5*c. Suppose d*y = -y + 27. Suppose k + 4 = y. Solve 12 = -2*q + n, -n + 2 = -2*q - k*n for q. -5 Let j be (2 + 1)*(-16 - -17). Solve j*r + 0 = -3*p + 30, 0 = p + 2*r - 15 for p. 5 Let d be 2/(-11) - ((-48)/66)/4. Solve 4*n - 3*p + 14 = d, 4*n = -3*p - 29 + 3 for n. -5 Let r = -7 - -7. Let h(a) = -5*a + 4. Let k be h(r). Solve -2*i = -y + 4*y - 19, -k*y + 14 = -3*i for y. 5 Let b(o) = -2*o**3 - 4*o**2 - o + 2. Let h be b(-2). Suppose 3*n = 3*x, -3*n + h = -x - 0*n. Solve x*l + 16 = 4*d, -l + 13 = -2*l + 3*d for l. 2 Let b = 7 + -2. Let c = 2432 - 2431. Solve n + 0*n + c = 2*h, -10 = -b*h + 4*n for h. -2 Let w be (1 + 3)/1 - (127 - 125). Solve -d + 8 = w*l, -4*l = -4*d - l + 10 for d. 4 Let h(z) = -3*z - 23. Let y(w) = 8*w + 68. Let o(p) = 17*h(p) + 6*y(p). Let m be o(-5). Suppose 8*c - m = 32. Solve -3*t + 5*l = -0*t - 12, 3*l = 2*t - c for t. 4 Suppose -5*v + 20 = 0, j - 6 = -v - 0. Suppose w - 7 = -4*n + 22, j*w = -4*n + 30. Suppose 0 = -2*u + 4*u - 16. Solve 3*g + u = d, -d - n*g = -3*g + 6 for d. 2 Suppose 5 = -4*f + 13. Solve f*w - 3*w - 17 = 5*g, 5 = -4*w + g for w. -2 Suppose 21 = 113*i - 106*i. Suppose -5*b + 20 = -90. Solve r + b = -4*r - m, -m = -i for r. -5 Suppose 24 = 2*c + 4. Suppose -c = -5*l - 0. Suppose -2*a + 15 = 5*r, -r + 16 = 5*a - l*a. Solve -j + r = -4, 3*m + 2*j - 13 = 0 for m. 1 Let q be (2/(-4))/((-1)/4). Let b be -3 - ((-2)/10 - (-10302)/85). Let z = -119 - b. Solve z*n - x = q*x - 17, -5*x = -20 for n. -1 Let d = -63 - -27. Let g be (-96)/d + 1*2/6. Solve 0 = c - 2*c + g*n - 17, -4*c + 5*n = 33 for c. -2 Suppose 176*q + 65 = 181*q. Suppose -3*z - 2*w = -q, -3*z + 14 = z + w. Solve 0 = -3*v + 5*t - 34, -v + 6*v - z*t + 30 = 0 for v. -3 Suppose -g = p + 4, 0 = 7*p - 9*p - g - 4. Suppose w - 2 = 4*r - 7, p = -5*r + 3*w + 15. Solve 0 = -b - k + 1, 3*b + b - 2*k - 10 = r for b. 2 Let f be 78/130 + (-4)/(-10). Solve 0 = 4*p + 4*i - 4, 2*p - i = -11 + f for p. -3 Let g(c) = -c**3 + 5*c**2 + c - 3. Let f(b) = -b**2 + b. Let u(m) = -3*f(m) - g(m). Let t be u(3). Solve 2*k - r - 13 = 0, t*k - 3*r = 4*k - 11 for k. 5 Let q(y) = y - 2. Let i be q(8). Suppose i*g + 0*g - 30 = 0. Solve 3*h = -2*x - x + 21, -23 = -2*x - g*h for x. 4 Suppose -3*o - 18*k = -22*k + 8, 2*k - 4 = 0. Solve 0 = -5*u - 4*t - 6, -u + 3*t - 5 = -o for u. -2 Let w = -86 + 91. Suppose 0 = -2*m + 4, 3 = -w*d + m + 21. Solve -3*p - 10 + 31 = -d*t, 5*p - 3 = -4*t for t. -3 Suppose 86 = 3*t - 2*d, -5*d - 59 = -5*t + 91. Solve -4*a = -2*k + t, 5*a + 25 + 0 = k for k. 5 Let j = -642 - -645. Solve 0*s = -4*y - j*s + 6, 2*y - 8 = -4*s for y. 0 Let z = -50 - -99. Let i = z + -37. Let k(m) = 3*m**3 + m**2 - m. Let c be k(1). Solve 0 = -5*x + n - c, -x + 3*x = -5*n - i for x. -1 Let s(b) = b**3 - 8*b**2 + 9*b - 4. Let i be s(7). Suppose 10 = -8*j + i*j. Solve 0 = -4*m - 5*q, -j*q - 6 + 21 = m for m. -5 Let p = -1046 - -1049. Solve -3*u + 5*f + 24 = 0, 5*u - 3*f - 21 = p for u. 3 Let v = -376 - -378. Solve 0 = 2*l + n - 3*n + v, 4*l + n = -9 for l. -2 Let w = 2602 - 2585. Solve -2*r + 3 - w = -5*v, 0 = -3*v + 2*r + 6 for v.
{ "pile_set_name": "DM Mathematics" }
03)? -6 Let x(p) = p**2 + 257*p - 19404. What is x(61)? -6 Let c(j) = 19*j - 229. Determine c(17). 94 Let t(i) = -1140*i + 410400. Determine t(360). 0 Let s(w) = -30*w**2 - 368*w - 134. Determine s(-12). -38 Let c(r) = 30*r - 41. Give c(8). 199 Let t(p) = -15*p**2 + 60*p - 188. Calculate t(4). -188 Let z(s) = -s**2 - 408*s + 1243. What is z(3)? 10 Let t(m) = -567*m + 4533. Determine t(8). -3 Let o(c) = 6*c**3 + 79*c**2 + 209*c + 190. Calculate o(-10). 0 Let w(j) = -4*j - 65. Determine w(-28). 47 Let n(o) = 2*o**3 - 54*o**2 + 2*o - 64. What is n(27)? -10 Let r(w) = -55*w + 1039. What is r(19)? -6 Let o(u) = -2*u**3 + 109*u**2 - 209*u - 2. Determine o(2). 0 Let o(f) = -45*f - 4164. Give o(-93). 21 Let q(y) = -27*y + 863. Calculate q(18). 377 Let k(q) = -q**3 - 6*q**2 - 402*q - 1986. Determine k(-5). -1 Let j(g) = 2*g**2 - 44*g + 31. What is j(21)? -11 Let z(w) = -w**3 + 99*w**2 - 6*w + 598. Give z(99). 4 Let f(g) = -6*g**3 - 91*g**2 - 19*g + 22. Calculate f(-15). 82 Let j(t) = -302*t - 9357. Give j(-31). 5 Let z(h) = -h**3 - 9*h**2 - 25*h + 48. Calculate z(-6). 90 Let x(i) = -31*i - 14. What is x(4)? -138 Let j(z) = -z**3 - 11*z**2 - 8*z - 6. Determine j(-9). -96 Let z(j) = -j**3 + 180*j**2 - 7660*j + 63. Calculate z(69). -6 Let b(g) = -2*g**3 + 7*g**2 + 8*g + 7. What is b(5)? -28 Let h(q) = -29*q**2 - 2*q + 24. Determine h(0). 24 Let k(j) = -5*j**2 - 2*j. Give k(2). -24 Let l(h) = -h**3 + 94*h**2 + 136*h - 12782. Give l(94). 2 Let z(m) = -4*m**3 - 2*m**2 - 5*m - 57. Calculate z(-5). 418 Let y(p) = -12*p**3 + 170*p**2 - 8*p + 8. Give y(14). 288 Let n(k) = -95*k**2 - 2088*k + 48. Calculate n(-22). 4 Let v(a) = a**3 - 3*a**2 - 479*a + 970. Calculate v(2). 8 Let j(d) = -d**2 + 150*d + 5613. Determine j(-31). 2 Let m(c) = -3*c**2 - 159*c - 165. Give m(-52). -9 Let u(n) = -n**3 - 15*n**2 + 15*n + 473. Determine u(-14). 67 Let r(o) = o**3 - 2*o**2 - 98*o + 2. Calculate r(-9). -7 Let n(q) = -q**2 - 44*q + 122. Determine n(-41). 245 Let g(u) = u**2 - 10*u + 86. Give g(10). 86 Let o(w) = 5*w**2 - 22*w + 23. Determine o(3). 2 Let l(o) = 63*o + 38. Determine l(-1). -25 Let f(m) = -3*m**2 - 237*m + 254. Calculate f(-80). 14 Let u(w) = 77*w**2 + 970*w - 970. What is u(1)? 77 Let o(x) = -x**2 - 3*x + 43. Determine o(-13). -87 Let j(h) = 4*h + 23. Give j(-17). -45 Let o(a) = 502*a - 1026. Give o(2). -22 Let d(w) = -w**3 - 106*w**2 - 964*w - 390. Determine d(-96). -6 Let m(f) = 5981*f + 29912. Give m(-5). 7 Let v(l) = -l**3 + 11*l + 20. Give v(9). -610 Let n(f) = -f - 22. What is n(35)? -57 Let v(m) = 10*m**2 - 152*m + 46. Determine v(15). 16 Let g(y) = -2*y**3 + 29*y**2 + 490*y - 7. Determine g(-10). -7 Let m(l) = 4*l**3 - 6401*l**2 + 12800*l - 2. Determine m(2). 26 Let q(l) = -l**2 + 27*l + 3934. Calculate q(-51). -44 Let o(i) = -207*i**3 - 7*i**2 + i + 7. Calculate o(-1). 206 Let n(l) = l**3 + 7*l**2 + 1684*l + 11791. Give n(-7). 3 Let p(u) = -4*u**3 - 10*u**2 - 46*u - 84. Calculate p(-2). 0 Let o(z) = -3*z**3 + 3*z**2 - 17*z + 79. Calculate o(4). -133 Let z(t) = t**3 - 5*t**2 - 140*t + 1208. Calculate z(-13). -14 Let i(w) = -w**3 - 127*w**2 - w + 12. Determine i(0). 12 Let q(z) = -z**2 - 32*z - 187. Give q(-10). 33 Let w(y) = -4*y**3 - 13*y**2 - 10*y - 14. Calculate w(-5). 211 Let v(z) = 2*z**3 + 21*z**2 + 16*z + 5. Calculate v(-4). 149 Let x(r) = -6*r**2 + 12*r + 97. Determine x(-4). -47 Let o(i) = -5*i**2 + 4*i + 3. Determine o(-4). -93 Let o(q) = -q**3 - 5*q**2 + 39*q + 180. Give o(-5). -15 Let x(z) = z**3 + 3*z**2 - 208*z - 425. Determine x(-2). -5 Let z(b) = -b**3 - 65*b**2 + 505*b - 17. Calculate z(-72). -89 Let l(b) = b**3 + 14*b**2 + 24*b - 4. Give l(-11). 95 Let m(w) = -55*w**3 - w**2 + w + 3. Calculate m(-1). 56 Let a(g) = g**2 + 32*g + 89. Calculate a(-8). -103 Let n(b) = 2*b**2 - 12*b - 161. Determine n(-6). -17 Let v(o) = 2*o**3 + 11*o**2 + 42*o - 11. What is v(-4)? -131 Let n(h) = 2*h**
{ "pile_set_name": "DM Mathematics" }
10, k, -2 Suppose -24*r + 274 = -25*r. Let h = -266 - r. Put 3, h, 1 in ascending order. 1, 3, h Let a be 4*(-2 + 110/54). Let o = 35/54 - a. Let w(i) = -1753*i - 7005. Let d be w(-4). Sort d, -1, o, -0.1 in decreasing order. d, o, -0.1, -1 Let g(h) = -4*h**3 + 55*h**2 + 11*h + 46. Let r be g(14). Sort 16, r, 135, 5 in ascending order. r, 5, 16, 135 Suppose -s = -2*u, 2*u = -u - 3*s - 9. Let o = -1092.87 + 1093. Sort u, 4, o, 0.5 in descending order. 4, 0.5, o, u Let i(l) = -l**2 + 7*l + 3. Let f be i(8). Let o = 0 - f. Let r(j) = -11*j - 172. Let v be r(-16). Sort 6, v, o. v, o, 6 Let i = -1439.08 - -1438.7. Put i, -1, 0.7 in decreasing order. 0.7, i, -1 Let n = 7.4 - 4.4. Let g be (79/(-27) - -3)*3. Let p = 69 + -70. Put p, n, 1/6, g in descending order. n, g, 1/6, p Let h = 88.63 - -10.57. Let m = -94 + h. Let t = m - 5.02. Sort t, -2/9, -1/4, -1/2. -1/2, -1/4, -2/9, t Let v be 91/273*(-18)/33. Let t be 236/(-581) + 12/42. Let h = t - 282/415. Sort 0.1, h, v, 0.01. h, v, 0.01, 0.1 Let b = 73 - 76.3. Let t = b + 6.3. Let o = 4.99 + 0.01. Sort -2/3, o, t in ascending order. -2/3, t, o Let u = -23029 - -23029.5. Put 13, 7/5, u in ascending order. u, 7/5, 13 Suppose 144*a = -304 - 216 + 88. Put -4, 5, 1, a in decreasing order. 5, 1, a, -4 Let u = 38/9 + -476/117. Let c = -258 + 259.072. Let o = c + -0.072. Put o, -0.1, u, -1/8 in decreasing order. o, u, -0.1, -1/8 Let n(k) = -k**3 - 15*k**2 - 17*k - 20. Let l be n(-14). Suppose 0 = -8*w + 86 - l. Let m be 12/21*-4 + w/28. Sort 3, m, -10 in increasing order. -10, m, 3 Suppose 10*l = 18*l - 32. Let z be -7 - (-8 - (-2)/4*l). Sort -5, -4, z, 5 in descending order. 5, z, -4, -5 Let n = 971 + -971.617. Let t = 0.117 + n. Put 0, t, 4 in decreasing order. 4, 0, t Suppose -1 = 5*y + 4. Let o be y*4 + (-16)/8. Let l be ((-8)/(-3))/((-4)/o). Sort 5, -5, l in descending order. 5, l, -5 Let f = -728.194 - -732. Let q = -0.806 + f. Let r = 1 + -1.4. Sort q, 2/17, r in ascending order. r, 2/17, q Let m be -12*((-42)/7)/(-12). Put 0, -8, m, 3 in descending order. 3, 0, m, -8 Let r be (2/3)/(92/24 + -4). Let h be 3145/3825 - 4/18. Sort -2/13, -0.3, r, h in ascending order. r, -0.3, -2/13, h Let q be ((-22)/132)/((-1)/(-2)). Put 1, -0.1, 10, q in decreasing order. 10, 1, -0.1, q Let b be (813/1626)/(-1*1/(-10)). Let x = -16 - -8. Let k = -5 - x. Sort b, -2, k, 4. -2, k, 4, b Suppose -36*c - 9*c + 1350 = 0. Let a be (3/2)/(5*3/c). Sort -1, -20, 1, a in decreasing order. a, 1, -1, -20 Let i = -12804 + 12799. Put 5, -9, i, -33 in ascending order. -33, -9, i, 5 Let x = -1999 - -1998. Put 12, -4, x, -2 in decreasing order. 12, x, -2, -4 Let l be (-15)/(150/4) + (-12)/(-5). Let v be (11 + -4 - l) + 0. Let d(n) = n**2 + 15*n + 23. Let g be d(-13). Put 2, g, v in decreasing order. v, 2, g Suppose -4*y = -d - y + 11, -2*d - 2*y - 2 = 0. Let v(a) = a + 18. Let i be v(-14). Let h be i/2 + ((-33)/3 - -6). Put d, 1, -4, h in ascending order. -4, h, 1, d Let v = -144 - -129. Let u be (-2)/(-4)*6/(-18). Sort v, -0.2, u in descending order. u, -0.2, v Suppose 60*g - 3 = 63*g. Suppose 0*i + 4 = -i - 2*a, -33 = 5*i - 3*a. Sort 8, g, i in ascending order. i, g, 8 Let h be 5 - 246/45 - 2/(-3). Sort h, 0.3, -305, 5/2, -7 in decreasing order. 5/2, 0.3, h, -7, -305 Suppose 8*b + 16 = 4*b. Let n be (b/(-16))/((-11)/(-132)). Suppose 0 = z + 3 - 4. Put z, n, 2 in descending order. n, 2, z Let u be -1*((-7 - -3) + 13). Let r = u + 11. Suppose g = -4*g + 3*g. Sort r, g, -2, 4 in descending order. 4, r, g, -2 Let k = -373 + 373. Let h = -0.31 - -0.01. Sort h, 1/2, k, -4 in descending order. 1/2, k, h, -4 Let x be (-1 - 7/(-4)) + 273/52. Let c(k) = -k**2 - k + 44. Let n be c(x). Let b = -77 + 75. Sort 0, b, 5, n in increasing order. b, 0, n, 5 Let y(g) = -526*g + 3160. Let o be y(6). Sort 6, 3, o, 13 in decreasing order. 13, 6, o, 3 Suppose 62 + 6 = -n. Let v = n - -70. Let u be (-11)/(-3) + v/6. Put u, -8, -3 in decreasing order. u, -3, -8 Let q = -1080956/77 - -98270/7. Let d(c) = -2*c**2 - 4*c - 2. Let a be d(-2). Put 0.04, a, q in ascending order. a, 0.04, q Let c = -22867/11 - -2079. Put c, -7, -4, 2, 1/7 in increasing order. -7, -4, 1/7, c, 2 Let b = 22 + -21.6. Suppose 3*r + 335 + 229 = 0. Let s = r - -9963/53. Put 0.5, s, b in increasing order. s, b, 0.
{ "pile_set_name": "DM Mathematics" }
1, g: 1, n: 1, z: 1}. 1/10 Four letters picked without replacement from {x: 1, g: 1, w: 1, t: 2, a: 5, c: 3}. What is prob of picking 4 a? 1/143 What is prob of picking 1 s and 2 h when three letters picked without replacement from {n: 1, p: 1, u: 4, s: 7, h: 4, k: 3}? 7/190 Calculate prob of picking 1 e, 1 u, and 2 f when four letters picked without replacement from {r: 4, l: 1, f: 2, e: 3, u: 1}. 1/110 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkllk. 5/18 Calculate prob of picking 2 p when two letters picked without replacement from {s: 6, r: 1, n: 6, p: 5}. 10/153 What is prob of picking 1 j and 1 l when two letters picked without replacement from {l: 2, t: 7, j: 6}? 4/35 Calculate prob of picking 2 c when two letters picked without replacement from cccs. 1/2 Two letters picked without replacement from {x: 3, v: 3, s: 3, y: 3}. What is prob of picking 1 v and 1 y? 3/22 Two letters picked without replacement from {j: 1, k: 2, m: 1}. What is prob of picking 2 k? 1/6 Two letters picked without replacement from rrmmmrmm. Give prob of picking 2 r. 3/28 Two letters picked without replacement from jjxj. What is prob of picking 1 x and 1 j? 1/2 Two letters picked without replacement from fmulq. What is prob of picking 1 l and 1 f? 1/10 Calculate prob of picking 3 n when three letters picked without replacement from nnnn. 1 Calculate prob of picking 3 q and 1 h when four letters picked without replacement from {k: 1, a: 1, h: 3, e: 1, q: 5}. 1/11 What is prob of picking 3 g and 1 n when four letters picked without replacement from {g: 13, n: 2, w: 3}? 143/765 Three letters picked without replacement from {g: 2, s: 7, j: 4, q: 2, n: 2}. Give prob of picking 1 s and 2 q. 7/680 Two letters picked without replacement from {d: 1, e: 1, g: 1, a: 1, y: 2, l: 1}. What is prob of picking 1 y and 1 g? 2/21 What is prob of picking 3 h and 1 t when four letters picked without replacement from thtttththt? 1/30 Four letters picked without replacement from kvvkvkvededvkkkkk. Give prob of picking 1 e and 3 v. 1/119 What is prob of picking 3 y when three letters picked without replacement from yydjy? 1/10 Calculate prob of picking 2 g when two letters picked without replacement from znggwngwlnwnggg. 1/7 What is prob of picking 1 m, 2 r, and 1 h when four letters picked without replacement from {u: 2, g: 1, r: 5, h: 2, c: 1, m: 2}? 8/143 What is prob of picking 2 h and 2 a when four letters picked without replacement from {h: 2, y: 2, a: 3, e: 2, b: 4}? 3/715 Calculate prob of picking 1 u and 2 j when three letters picked without replacement from {j: 3, u: 3, k: 13}. 3/323 Calculate prob of picking 2 z when two letters picked without replacement from {d: 3, z: 9}. 6/11 Calculate prob of picking 2 y, 1 q, and 1 x when four letters picked without replacement from {x: 2, t: 1, q: 2, j: 3, y: 6}. 60/1001 What is prob of picking 1 o and 1 e when two letters picked without replacement from ksbbtokosoeoeokoks? 4/51 Two letters picked without replacement from adadaaaaddda. Give prob of picking 2 d. 5/33 Three letters picked without replacement from cbcscwcssscwcsbwc. What is prob of picking 1 b and 2 w? 3/340 Two letters picked without replacement from {m: 6, a: 2, g: 3, t: 1, j: 1}. Give prob of picking 1 j and 1 a. 1/39 Calculate prob of picking 2 y when two letters picked without replacement from jwjyjwwwxwwwwwywjww. 1/171 Three letters picked without replacement from {m: 4, n: 3, p: 1}. Give prob of picking 2 m and 1 p. 3/28 Two letters picked without replacement from dtflaazdz. What is prob of picking 1 a and 1 d? 1/9 Calculate prob of picking 1 m and 1 x when two letters picked without replacement from mxubimmxmiib. 4/33 Calculate prob of picking 2 p and 2 e when four letters picked without replacement from mexpptxppxcx. 0 Calculate prob of picking 1 y and 2 a when three letters picked without replacement from eyayyeea. 3/56 Four letters picked without replacement from mkkkkkkkkm. Give prob of picking 1 m and 3 k. 8/15 Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, b: 1, t: 6, s: 6}. 5/57 Two letters picked without replacement from lvudldupddlpv. What is prob of picking 1 u and 1 p? 2/39 Calculate prob of picking 2 f when two letters picked without replacement from bjbzcbfllbflcl. 1/91 Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {l: 1, n: 1, s: 1, p: 1, t: 1}. 1/10 Four letters picked without replacement from uuuuu. What is prob of picking 4 u? 1 Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 1, z: 1, y: 1, l: 1, i: 1}. 1/10 Two letters picked without replacement from {a: 5, f: 5}. What is prob of picking 2 a? 2/9 Two letters picked without replacement from iiiiiiififfiffiifi. What is prob of picking 2 i? 22/51 Four letters picked without replacement from {v: 1, k: 9, m: 10}. What is prob of picking 4 m? 14/323 Calculate prob of picking 3 y when three letters picked without replacement from ydydyyyyydd. 7/33 Calculate prob of picking 1 w, 1 d, and 1 c when three letters picked without replacement from dddxddddpdccddddw. 3/85 Four letters picked without replacement from cfgccfccfnnfc. Give prob of picking 1 g, 1 f, 1 n, and 1 c. 48/715 What is prob of picking 1 k and 2 o when three letters picked without replacement from kogqqkxkqjqj? 0 Four letters picked without replacement from {u: 1, a: 7, b: 2, n: 2}. What is prob of picking 3 a and 1 n? 14/99 Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {a: 2, f: 2, v: 7, g: 8}. 56/171 What is prob of picking 2 g when two letters picked without replacement from {z: 4, e: 3, g: 3, i: 2, q: 2, k: 2}? 1/40 What is prob of picking 1 g and 1 k when two letters picked without replacement from {k: 1, n: 2, w: 2, g: 1, a: 1}? 1/21 What is prob of picking 1 t and 3 i when four letters picked without replacement from liillltiltiit? 6/143 Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {a: 1, n: 1, e: 2, t: 3, f: 10}. 27/136 Two letters picked without replacement from {k: 2, z: 2, d: 2, c: 1, w: 3, e: 2}. What is prob of picking 1 k and 1 c? 1/33 What is prob of picking 2 z when two letters picked without replacement from {z: 5, u: 2, o: 4}? 2/11 Calculate prob of picking 1 y and 2 d when three letters picked without replacement from xdzzdzxddzzzzzyzz. 3/340 Two letters picked without replacement from {h: 3, p: 4, u: 1, e: 2, s: 1, z: 1}. What is prob
{ "pile_set_name": "DM Mathematics" }
is the tens digit of a? 3 Suppose a = -a + 480. Suppose 2*x - 41 = 9. Suppose -4*y + 310 = 2*h, 5*h + a + x = 3*y. What is the tens digit of y? 8 What is the tens digit of (17/5)/((-6)/(-30180))? 0 Let h(v) = -v**3 + v**2 + 2*v + 486. Let p be h(0). Suppose 3*u - 21 - p = 0. What is the units digit of u? 9 Let a(i) = -i**2 - 10*i + 12. Let o be a(-11). Let w be (1 + o)/((-11)/(-22)). Suppose -10*c + w*c = -468. What is the tens digit of c? 7 Let s = -89 - -91. Suppose 640 = 3*i + s*z - 0*z, 4*z - 638 = -3*i. What is the units digit of i? 4 Let l = -230 - -250. What is the units digit of ((-456)/l)/((-24)/540)? 3 Let y = 10610 - 5106. What is the units digit of y? 4 Let w(t) = -3*t**2 + 18*t - 47*t + t**3 - 3 - 4 + 22*t. Let h be w(5). What is the units digit of 154/h - (-3)/(-12)? 9 Let q(z) be the first derivative of -25*z**2/2 - 49*z - 14. What is the hundreds digit of q(-43)? 0 Let b = 79703 + -11734. What is the ten thousands digit of b? 6 Let x = 339 - 339. Suppose -b = -4, x = -4*h - 5*b + 1624 + 156. What is the units digit of h? 0 Suppose 9*j + 4*x = 4*j - 380, 2*x + 310 = -4*j. Let r = 210 + j. What is the units digit of r? 0 Let g(m) = -154*m + 3. Let q(r) = 2*r + 19. Let f be q(-10). What is the hundreds digit of g(f)? 1 Suppose 0 = -4*h + 3*l + 15, l = -8*h + 3*h - 5. Suppose -9*k + 11*k - 734 = h. What is the units digit of k? 7 Let n(x) = 41*x**2 - 14*x - 14. Suppose 9*j - 20*j - 22 = 0. What is the tens digit of n(j)? 7 Suppose -1 = -4*b + 11. What is the hundreds digit of b/(-6) - 1875/(-6)? 3 Suppose 50*f - 8759 = 40*f + 25391. What is the hundreds digit of f? 4 Let i(j) = -j**2 + 35*j - 97. Let f be i(3). What is the units digit of (-451 + (4 - f))/(-1)? 6 Let l = 6 - 4. Let z(t) = 11*t**2 + 6*t + 2. Let q(p) = 3*p. Let o(n) = -3*q(n) + z(n). What is the tens digit of o(l)? 4 Let n(w) = w**2 + 17*w - 26. Let r be n(-20). Suppose 0 = 5*i + r - 439. What is the units digit of i? 1 What is the ten thousands digit of (600/16)/75 + 23141/2? 1 Let v = 1238 - 685. Let z = v - -290. What is the tens digit of z? 4 Let w(d) = -d**3 - d**2 + 6*d + 5. Let z = 22 - 25. Let r be w(z). What is the units digit of 3/(-15) + 891/r? 8 Let x(z) = 7*z**3 + 59*z**2 + 64*z - 199. Let i(k) = 4*k**3 + 30*k**2 + 33*k - 100. Let g(d) = -5*i(d) + 3*x(d). What is the hundreds digit of g(-25)? 4 Let j(q) = 49*q + 9748. What is the hundreds digit of j(29)? 1 Suppose -127*j = -20*j - 1287852. What is the thousands digit of j? 2 Let k(y) = y**3 + 27*y**2 - 19*y - 77. Let o be k(-13). Suppose 2*s + o = 2*g, 4*g - s - 5120 = -57. What is the hundreds digit of g? 2 Let y(x) = -x**2 - 13*x + 66. Let r(w) = -2*w**2 - 26*w + 132. Let g(o) = -3*r(o) + 5*y(o). What is the units digit of g(-21)? 2 Let r = -2821 + 4388. What is the units digit of r? 7 Let i(h) be the third derivative of -h**5/30 + 5*h**4/6 - 7*h**3/2 + 3*h**2 - 5. What is the units digit of i(8)? 1 Suppose 21*c + 4278 = 20*c + 5*g, 8563 = -2*c + 3*g. Let n = -2898 - c. What is the thousands digit of n? 1 Let z = 1023 - 269. What is the hundreds digit of z? 7 Let n = 14591 - 5328. What is the thousands digit of n? 9 Let i(n) = -2*n**3 + 46*n**2 + 3*n - 8. What is the hundreds digit of i(7)? 5 Let k = -413 - -650. What is the hundreds digit of k? 2 Suppose 171*h - 24 = 179*h. What is the units digit of ((-1)/2 - 1)*134/h? 7 Suppose -s - 8*n + 25554 = 7751, 5*n = -4*s + 71023. What is the thousands digit of s? 7 Let h be ((-4)/8)/(3*1/204). Let y(z) = z**2 + 14*z + 32. What is the hundreds digit of y(h)? 7 Let d(n) = 39*n**3 - 8*n**2 - 82*n + 598. What is the ten thousands digit of d(7)? 1 Let v(m) = -8*m - 102. Let l be v(-13). What is the units digit of (-6 - -289) + -2 + l? 3 Suppose 49*w - 47971 = 38*w. What is the thousands digit of w? 4 Suppose -5*i - 15 - 10 = 0. Let a(p) = -42*p + 49. What is the hundreds digit of a(i)? 2 Let v = 31 + -22. Suppose -v*t + 615 = -1068. Let i = -25 + t. What is the hundreds digit of i? 1 Suppose -12*g = -11*g - 1, -11 = 4*s - 3*g. What is the hundreds digit of 151 + s + 3 + (-5 - -6)? 1 Let m = -42 - -75. Suppose 5*t - 2*f = -140, 5*t = -3*f - 107 - m. Let w = 2 - t. What is the tens digit of w? 3 Let q(y) = 3*y**2 - 39*y + 458. What is the units digit of q(34)? 0 Let b(r) = -3*r + 4*r + r**2 + 264 - 292. What is the tens digit of b(-7)? 1 Suppose 5*h = -4*h + 18. Let s be (-5*4/(-60))/(h/24). Suppose -x + 237 = s*x - 2*u, 0 = 2*x + 2*u - 92. What is the units digit of x? 7 Let n(l) = l**2 - 23*l + 84. Let u be n(19). Let b(z) be the second derivative of z**5/20 - 2*z**4/3 + 3*z**3/2 - z**2/2 - z. What is the tens digit of b(u)? 7 What is the hundreds digit of 2*(-36158)/(-8) + ((-407)/22)/37? 0 Suppose
{ "pile_set_name": "DM Mathematics" }
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b). -7*b**3 Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)? 2*r**2 - 10*r + 2 Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)? f**3 + f**2 + 45*f Let h(o) = -5*o. Let j(x) = 3*x - 4. Let b be j(2). Let r(d) = 2 + d**2 - b + 3*d + d. What is -2*h(l) - 3*r(l)? -3*l**2 - 2*l Suppose 2*o = 10, 5*l + 0*l + 4*o = 35. Let f(h) = -5*h + 2 + l - 5. Let w(a) be the first derivative of 8*a**2 - 1. Calculate -10*f(k) - 3*w(k). 2*k Let o(u) = -3*u + 1. Let x(y) = y**3 - y**2 - 6*y + 2. Let z(p) = -2*o(p) + x(p). Let m(f) = -f**3 + 5*f**2 + 1. Calculate m(t) + 4*z(t). 3*t**3 + t**2 + 1 Let t(s) be the first derivative of -s**3/3 - 5*s**2/2 - 5*s + 62. Let x(c) = -3*c**2 - 18*c - 18. Give 18*t(b) - 5*x(b). -3*b**2 Let x(w) = -2*w**3 + w**2. Let u(a) = -11. Let l(k) = -4. Let n(h) = -3*l(h) + u(h). Calculate -2*n(c) - x(c). 2*c**3 - c**2 - 2 Let y(d) = 6*d**3 - 4*d**2 - 4*d + 4. Let g(x) = 7*x**3 - 5*x**2 - 5*x + 5. Let m(n) = 4*n**2 + 61*n + 20. Let j be m(-15). Give j*y(w) - 4*g(w). 2*w**3 Suppose 52*c + 114 = 33*c. Let j(g) = 259*g**2 + 77*g + 77. Let k(i) = 20*i**2 + 6*i + 6. Determine c*j(o) + 77*k(o). -14*o**2 Suppose -12*j = -7*j - 265. Let i(z) = 30 - z - j + 24. Let s(a) = -a**2 + a + 1. Give i(h) - s(h). h**2 - 2*h Let c(n) = 3*n - 2. Suppose -3*w = -7*w - 36. Let a(h) = 76*h - 40. Let u(g) = -15*g + 8. Let f(y) = -2*a(y) - 11*u(y). Calculate w*c(j) + 2*f(j). -j + 2 Suppose 13 = -2*o - 13. Let m = o + 12. Let l(x) = 3*x**3 - x**2 + x + 1. Let y(s) = -s**3 + s**2 - s - 1. What is m*y(n) - l(n)? -2*n**3 Let i(y) = 2*y. Let c(k) = 2*k**2 + 9*k + 27. Give c(h) - 4*i(h). 2*h**2 + h + 27 Let m(a) = -127687*a + 1221. Let y(n) = 629*n - 6. Give -2*m(i) - 407*y(i). -629*i Let i be -1 - (-5 + (5 - 3)). Let s(l) = -2*l + 2*l + 4*l - l**2 + 5*l**3 + i + 2. Let x(u) = -u**3 - u - 1. Let j = -1 + 2. Calculate j*s(o) + 4*x(o). o**3 - o**2 Suppose -p + 2 = -2*p. Let f(v) = -6 + v - 2*v**2 + 5*v - 6*v. Let n(t) = t**2 + 3. Give p*f(k) - 5*n(k). -k**2 - 3 Let m(i) = 460*i**3 - 575*i + 575. Let u(t) = -t**3 + t - 1. Calculate -m(o) - 575*u(o). 115*o**3 Let n(q) = -3*q**2 - q + 10. Suppose 31*w + 107 + 110 = 0. Let o(d) = 2*d**2 + d - 7. Calculate w*o(y) - 5*n(y). y**2 - 2*y - 1 Let f(w) = -2*w**2 + 5. Let u(a) = a**2 - 1. Suppose -4*z = p + 14, -2*p - 11 + 7 = 2*z. Let n be 2*-5*(p - 6/4). What is n*u(b) - f(b)? -3*b**2 Let b(y) = -2*y - 4. Let k = -11 - -6. Let w(r) = -3*r - 7. Let t be (30/(-35))/((-2)/7)*1. Give k*b(s) + t*w(s). s - 1 Let r(q) = -31*q - 2. Let k(u) = -6*u. Calculate -4*k(a) + r(a). -7*a - 2 Let x(s) = -s**3 - 2*s + 1. Let q(p) = -2*p - 4. Let h be q(-3). Let v(m) = 2*m + 0*m**3 - 6 + 0*m**2 + 5*m**3 - 2*m + 11*m - m**2. Calculate h*v(t) + 11*x(t). -t**3 - 2*t**2 - 1 Let w(d) = -d**3 - 2*d**2 + 28*d - 2. Let b(k) = 3*k**3 + 7*k**2 - 86*k + 7. What is -6*b(x) - 21*w(x)? 3*x**3 - 72*x Let m(t) = 2*t**2 + 2*t + 2. Let h be (-12)/(-2)*3/9. Let b(l) = l**2 + 16*l. Let q(i) = -3*i**2 + 11*i - 5. Let a(f) = b(f) - q(f). Calculate h*a(v) - 5*m(v). -2*v**2 Let d(h) = -h - 1. Let p(j) = 0*j - 3*j - 10 + 7*j + 23 - 15. Calculate -2*d(t) + p(t). 6*t Let b(u) = u**2 - u. Let c(t) = t**3 - 9*t**2 + 9*t - 1. Let s = -1467 + 1465. Give s*c(k) - 18*b(k). -2*k**3 + 2 Let o(v) = -4 + 0 - 3*v**2 + 4. Let m(s) = -6*s**2. Let g be 4*7/((-21)/(-12)). Let w = 7 - g. Give w*o(l) + 4*m(l). 3*l**2
{ "pile_set_name": "DM Mathematics" }
9). What is the third biggest value in j, 3, -3/4? -3/4 Let w = 6280 + -6280.3. Which is the fifth smallest value? (a) 1 (b) 3/8 (c) w (d) 2 (e) 7/2 e Let x = 0.5 + 8. Let l = x + -5.5. Which is the second smallest value? (a) l (b) -4 (c) -3 (d) -3/4 c Let m = 20751 - 20751. What is the second smallest value in 0.4, 276, -1/14, m? m Let q = 20331 + -20334. Let h = -0.09 - 0.11. Which is the smallest value? (a) q (b) -2/21 (c) h (d) -2/23 a Let s = -677.1 + 677. Let g = 0.038 + 0.262. What is the third smallest value in 139, g, s, -4/3? g Let o = 91.76 + -88. Let j = o + 0.24. Which is the smallest value? (a) -4/3 (b) j (c) -2 (d) -11 d Let m = 142.1 + -142. Let t = -52.5 + 66. Let l = 14 - t. Which is the smallest value? (a) 7 (b) l (c) m c Suppose 272 = -5*y - x, -4*y - 4*x = x + 226. What is the biggest value in 2, y, -1? 2 Let m(u) = -u - 3. Let q be m(1). Let f = 519 - 516. Which is the third biggest value? (a) -0.13 (b) f (c) q c Let z = 276.164 + -0.164. Let r = -277.62 + z. What is the second smallest value in r, -4, 4? r Let q = 0.24 - -0.16. Let a be 4/(-3240)*(2 - (-2048)/(-12)). Let w = a - 2/243. What is the biggest value in w, 1, 4/3, q? 4/3 Let g = 195.2 + -194.7. Which is the second smallest value? (a) g (b) -5 (c) -0.1 (d) -1/4 (e) -1.7 e Let q = 164.95 - 165. Suppose -f - 1 = 3. What is the smallest value in q, 3, f? f Suppose -3*h - 308 = -7*h. Let q = 13/322 - 223907/2898. Let b = q + h. What is the third smallest value in 2, 1, b? 2 Suppose 5*g + 2*z - 9 = 4*g, -10 = -4*g + 5*z. Let b = -2.972 + -1.028. What is the third biggest value in g, -1/2, b? b Let m = -24932.96 - -24137. Let w = 796 + m. What is the biggest value in w, 5, 4? 5 Let k = 585/358 + -24/179. What is the third smallest value in 0, -67, -2/9, k? 0 Let j be -1*(1 - 2) + 408/(-357). Which is the fourth smallest value? (a) 0.4 (b) 3/7 (c) -0.0669 (d) j b Suppose -2*f - 7*f = 0. Let x be ((-18)/(-12) + -2)*4/(-90). What is the second smallest value in -5, f, x? f Let n = -0.471 - -1.251. Which is the fourth smallest value? (a) -4 (b) n (c) 3 (d) -0.2 c Suppose 5*j = 5*x - 3*x + 21, 0 = -3*x + 6. Let m(g) = -4*g**2 + 22*g - 8. Let n be m(j). Which is the biggest value? (a) n (b) 6 (c) 0.6 b Let x(j) = -2*j**3 - j - 4*j**2 + 2*j**2 + 0*j**3. Let f be x(-1). Let n = 1802.97 + -1803. Which is the third smallest value? (a) f (b) n (c) -2/7 a Let s = -8413.6 + 8414. Which is the third smallest value? (a) -0.4 (b) 19/3 (c) 1 (d) 3/4 (e) s d Let s = 3 + -3.2. Let r = -0.36476 + -0.03524. Which is the smallest value? (a) 2 (b) s (c) r (d) 0.033 c Let w = 48 - 53.3. Let y = 5 + w. Let h = -1.7 + y. Which is the third smallest value? (a) h (b) 1 (c) 0.5 (d) -0.2 c Let t = 0.08302 - -0.21698. Let s(g) = g**3 + 9*g**2 - 12*g - 25. Let v be s(-10). Which is the biggest value? (a) t (b) -2/5 (c) 1 (d) v c Let g = -309/5 + 185/3. Let v = -4 - -3.6. Let l = -247 + 246. What is the third smallest value in g, v, l, -0.5? v Let j = -5 - -1. Let p = -1230 + 1281. What is the smallest value in p, j, 2/3? j Let h = 5170/3 + -1723. What is the smallest value in 67, h, -1/2? -1/2 Let w = 363 + -359. Suppose 0 = w*f + 6 + 26. Which is the fourth smallest value? (a) f (b) -1 (c) 0 (d) 0.1 d Suppose 2 = -j - 18. What is the third smallest value in -1, 2/9, j? 2/9 Let p = -13156.6 - -13157. Let w = -1 - -1.1. Let n = w + -0.5. Which is the second smallest value? (a) -4/5 (b) p (c) n (d) -5 a Let f be ((-4356)/25410)/((-5)/35*(5 + -2)). Let x be 2/2*(-1)/2. What is the third smallest value in x, -0.101, f? f Let g = 474324 - 474319. Let v = -1 + 1.5. Which is the second biggest value? (a) -0.1 (b) 24 (c) v (d) g d Let l be (290/35 - -1) + -11 + 2. Let n = 0.2 - -0.3. Which is the second biggest value? (a) l (b) -2 (c) n (d) 8 c Let u(l) = -7*l**3 - 6*l + 18. Let m be u(3). Let q = -191 - m. Which is the third biggest value? (a) -11/3 (b) q (c) 2/7 (d) 5 b Let j = 479 - 483. What is the smallest value in 0.3, 2/181, j? j Suppose -5*z = -5*v - 10, 3*v + 6*z = 2*z + 22. Let a be (-2)/6*(-6)/(-16). Let r = 11 - 11.4. What is the fourth smallest value in r, -4, a, v? v Let n = -8 + 8.3. Let o = 5409 - 5411. Let m = 0.7 + 0.8. What is the third smallest value in o, n, m? m Let k = 23397178/205 + -114132. Let m = k - -1/41. Which is the third smallest value? (a) m (b)
{ "pile_set_name": "DM Mathematics" }
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x). x**2*(x - 2)**2*(x + 1)/3 Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0. 0, 1 Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2. 3*y**2*(y + 1)**3/5 Let j(v) = -v**2 - v + 1. Let u(n) = 5*n**2 + 5*n - 2. Let s = -16 - -18. Let c(y) = s*j(y) + u(y). Factor c(a). 3*a*(a + 1) Let f be 26/8 + (-7)/28. Let -f*u**2 + 9*u + 6 + 4*u**2 - 3*u**2 + 5*u**2 = 0. Calculate u. -2, -1 Let u be (((-14)/(-1))/(-2))/(-1). Let d be u/14 + (-77)/(-6). Let 16/3*v**3 + 17/3*v - 2/3 - d*v**2 = 0. Calculate v. 1/4, 2 Let u(a) be the second derivative of 0*a**2 + 1/135*a**6 - 6*a + 0 + 0*a**4 + 1/90*a**5 + 0*a**3. Factor u(p). 2*p**3*(p + 1)/9 Solve -109*y + 59*y + y**2 + 54*y = 0. -4, 0 Let r be 6/(-4)*12/(-54). Let j(c) be the first derivative of -r*c**3 - 1/4*c**4 + 1/10*c**5 + 1/4*c**2 + 1/2*c + 1/12*c**6 - 2. Factor j(s). (s - 1)**2*(s + 1)**3/2 Factor 15*q - 3*q - 5*q**2 + q**2. -4*q*(q - 3) Let u = -4 + 6. Let t(o) be the second derivative of 1/6*o**u - 1/126*o**7 + 0 - 5/18*o**3 - 1/6*o**5 + o + 5/18*o**4 + 1/18*o**6. Factor t(c). -(c - 1)**5/3 Let i(m) be the first derivative of m**4/22 + 2*m**3/33 - 2*m**2/11 - 3. Factor i(l). 2*l*(l - 1)*(l + 2)/11 Let z = -1 + 5. Factor -3*t**3 + 5*t**3 + 2*t**z + t**4 - 3*t**2 - 6*t + 4*t**3. 3*t*(t - 1)*(t + 1)*(t + 2) Let t(a) = 5*a**2 - 24*a + 39. Let g(x) = 10*x**2 - 47*x + 77. Let w(y) = 6*g(y) - 13*t(y). Suppose w(f) = 0. Calculate f. 3 Let y(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 9. Factor y(x). (x - 2)*(x + 1) Let n(m) be the third derivative of -m**5/150 - 3*m**2. Factor n(t). -2*t**2/5 Let f(o) = 2*o**2 - 3*o. Let s be f(2). Find d such that 0 + 0*d + 2/3*d**4 - 4/3*d**3 + 2/3*d**s = 0. 0, 1 Let f(n) be the third derivative of 0*n**3 - 2/5*n**4 + 8*n**2 + 0*n - 1/200*n**6 + 0 + 2/25*n**5. Factor f(y). -3*y*(y - 4)**2/5 Suppose 1/2*q**2 + 0*q - 1/2 = 0. Calculate q. -1, 1 Let m(u) = u**3 + u. Let v(y) = -12*y**3 - 10*y. Suppose 0 = z + 4*z + 10. Let o be (1 - -1)/(z/(-2)). Let j(k) = o*v(k) + 22*m(k). Factor j(x). -2*x*(x - 1)*(x + 1) Let b(u) be the third derivative of u**6/360 - u**5/45 + 5*u**4/72 - u**3/9 + u**2. What is q in b(q) = 0? 1, 2 Let u be (-11)/(-4) - (-6)/24. Let a(s) be the first derivative of -1/6*s**4 - 1/3*s + 2 - 2/3*s**2 - 5/9*s**u. Find b, given that a(b) = 0. -1, -1/2 Let o(s) be the third derivative of s**6/180 - s**5/30 + s**4/12 + s**3/2 + 4*s**2. Let k(h) be the first derivative of o(h). Determine r so that k(r) = 0. 1 Factor 10*z**2 + 5*z**4 - 5*z**3 - 9*z**2 - z**4. z**2*(z - 1)*(4*z - 1) Let r(t) = -t - 6. Let u(w) = 2*w - 2. Let m be u(-3). Let v be r(m). Factor -4 - 10*c - 2*c**3 - 3*c**2 + 0 - 5*c**v. -2*(c + 1)**2*(c + 2) Let s(g) = -g**3 - g**2 + g - 1. Let w(o) = 7*o**3 - o**2 - 7*o + 19. Let y(c) = -18*s(c) - 2*w(c). Factor y(u). 4*(u - 1)*(u + 1)*(u + 5) Suppose 0 = 2*v + 2*v. Suppose -5 + v = -x. Solve -4*b**2 + x*b**4 - 4*b**4 - 2 - 3*b**4 + 8*b**2 = 0. -1, 1 Factor -t**4 + 4*t - 5*t**4 - 4*t**3 + 4*t**4 + 2 + 0*t**4. -2*(t - 1)*(t + 1)**3 Factor 5*i + 0 - 5/2*i**2. -5*i*(i - 2)/2 Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3. 3*f*(f - 1)*(f + 1)**2 Let y(o) be the first derivative of o**3/3 + o**2/3 - o/3 + 2. Factor y(r). (r + 1)*(3*r - 1)/3 Let t(s) = -4*s**5 - 2*s**2 - 2*s - 2. Let g(y) = 9*y**5 + y**4 + y**3 + 4*y**2 + 5*y + 5. Let q(z) = 2*g(z) + 5*t(z). Solve q(i) = 0 for i. -1, 0, 1 Let l be (-3 - -3)/2*1. Let r be (-16)/(-168)*(-28)/(-6). Factor 2/9*u**2 + 0 - r*u**3 + 2/9*u**4 + l*u. 2*u**2*(u - 1)**2/9 Let b be (-4 - 24/(-6))/(3 + -1). Suppose -1/3*o**3 + 1/3*o**2 + 0*o + b = 0. What is o? 0, 1 Let k(p) be
{ "pile_set_name": "DM Mathematics" }
c - w - 16. Suppose 4*k - 15 = 3*q, -4*q - c = k - 3*k. Solve k*j - 7 = 2 for j. 3 Suppose y - 6*y = 0. Suppose -3*a + 164 = 4*b, y*b - 232 = -4*a - 2*b. Let h = a - 56. Solve -h*q - 2 - 6 = 0 for q. -2 Let w = -37 + 42. Suppose 0*l - l + 11 = 3*g, -21 = -2*l - w*g. Let x be 15/((-12)/l + 3). Solve b - x = -b for b. 5 Let m = -286 + 288. Suppose -4*x + 23 = -3*s + 4*s, m*s - 5*x = -19. Solve 18 = -3*y + s for y. -5 Let c = -1765 - -1886. Solve 4*g = -133 + c for g. -3 Let o = 27 + -10. Let q(f) = -f**2 + 18*f - 15. Let r be q(o). Suppose -3*p + 44 = 5*t, -4*t + 3*t - 4*p + r = 0. Solve 4*g + t = 26 for g. 4 Let s = -19624 - -19714. Solve s*w = -75 + 525 for w. 5 Suppose -3*i = -3*o - 11 - 52, 4*i - 36 = o. Let a be (-174)/464 + (-70)/o. Let n(j) = j**3 + 3*j**2 - 3*j + 1. Let s be n(-3). Solve -2*f - a + s = 0 for f. 3 Let j be (-125)/150 - 2/12. Let d be (-3 - 44/(-4)) + -3 + j. Solve 0 = -4*w + 5*w - d for w. 4 Suppose -a + 2 = -0*a. Let g(d) = 56*d + 504. Let y be g(-9). Solve y = -a*w - 8 + 2 for w. -3 Let a be (-82)/(-123) - (-2)/(-3) - -267. Solve -a*p = -269*p + 4 for p. 2 Let q be (-3)/6*(-6 - -2). Let i be 3 + 6 - -1 - (-6 - (-7 + -1)). Solve 10*y - q - i = 0 for y. 1 Let j(y) = y**2 + 8*y + 19. Let g be j(-5). Suppose -692 = 7*q - 797. Solve g*n = 9*n + q for n. -3 Suppose -15*b - 105 + 1305 = 0. Solve 219 + 101 = b*x for x. 4 Let c(x) = -4*x - 12*x**2 + 1 + 7*x + 9*x + 13*x**2. Let p be c(-12). Let n be (-9)/((-36)/32)*p. Solve n = -s - 3*s for s. -2 Let r = 24 - 27. Let y be (-44)/(-2) + (1 + -1)/r. Suppose 0 = -2*h + y - 6. Solve -f + h = 3*f for f. 2 Let v = -26 + 20. Let x = v + 10. Suppose -x*p + 78 = 2*p. Solve -5*w - 7 = p for w. -4 Let x = -87 + -211. Let s = -266 - x. Solve 7*j = -j + s for j. 4 Suppose 5*x - 2*n + 6 = -0, 2*x + n = 3. Suppose -2*c = -4*r + 40 + 16, 0 = -3*r. Let a = -25 - c. Solve x = -a*k - 0*k + 6 for k. 2 Let y be (4/5)/((-2)/(-10)). Suppose -4*b - 13 + 13 = 0. Let z be 4*(27/(-6))/(-6 - b). Solve -y*s = 1 + z for s. -1 Let d be (-10 + 4)*1/(8/(-12)). Solve -d*u - 19 = 17 for u. -4 Let m be -1 + 1 + (-26 - -11). Let i be 2/(-5) + (-2 - 936/m). Let c = i - 60. Solve t - 3*t + 6 = c for t. 3 Suppose 30 = 5*r + 10*r. Suppose -7*a - r = -30. Solve 3 = -a*k + 5*k for k. 3 Let j = 106 - 70. Let a = -36 + j. Suppose a = -5*o + 3*o + 4*r - 8, -5*r = -10. Solve o = -4*f + 7 + 1 for f. 2 Let z(l) = l**2 - 14*l - 15. Let p be z(15). Let j be (p - -8) + 0/9. Suppose 5*t = -5*d + 10, j = 5*t - 2*d + 6*d. Solve t = -b + 7 - 3 for b. 4 Suppose 4*l + s - 708 = 0, -562 = -5*l + 4*s + 302. Solve l = -10*d + 126 for d. -5 Let s be 30/12 + 855/114. Solve -42 + 32 = s*d for d. -1 Let m be 12/(-20) + 0 + (-2140)/(-25). Suppose 7*o = -10*o + m. Solve -8 = o*k - 18 for k. 2 Let r be -10*-2*((-24)/(-3) + -7). Solve 5*t + r = 9*t for t. 5 Let y be 360/10 + (2 - 0). Solve -26*j - 12 = -y*j for j. 1 Let y = -2157 - -2157. Solve 12*v - 18 - 42 = y for v. 5 Let o(x) = -x**3 + 16*x**2 - 27*x - 9. Let m be o(14). Let h be (10/(-8))/((-4)/96). Let a be (-40)/6*6/(-4). Solve -m*w = a - h for w. 4 Let x be (0*11/55)/2. Solve x = 91*d - 100*d + 27 for d. 3 Suppose -2*r = -4*r + 4. Suppose 4*h = 2*w + 10, -5*w + 26 = 5*h - 3*w. Let s(u) = -u**3 + 5*u**2 - 4*u. Let x be s(h). Solve c + 3 - r = x for c. -1 Suppose t - 60 + 47 = -5*o, -3*o = -5*t + 233. Solve -t*u + 424 = 123 for u. 7 Let p be (30/9)/(-5*(-3)/315). Let q be (-14)/(-4)*120/p. Solve 9 = -15*s + q*s for s. -1 Let d(j) = -5*j - 4*j + 3*j + 10*j - 38. Let s be d(10). Let c(n) = -3*n + 3. Let p be c(-3). Solve -5*q + s*q + p = 0 for q. 4 Suppose -212301*r + 6524 = -212287*r. Solve -448*z + 72 = -r*z for z. -4 Suppose -4*p - 153 = 5*d, 3*p - 2*d = 3*d - 141. Let m = -39 - p. Solve 4*q = m*q - 3 for q. -3 Let z = -5211 + 5259. Solve 6*y = -2*y + z for y. 6 Let i = 130 + -127. Suppose 2*j + x = 4*j - 3, -3*x + i = 0. Solve -l = -j*l - 5 for l. -5 Let c be 1/(2 - (-738)/(-147) - -3). Let f = c - -49. Suppose 0 = 3*b - f*b - 3. Solve -v = -b - 1 for v. 2 Let z(u) = u**2 - 3*u - 1. Let m be z(4). Suppose -4*h - 14 = -11*h. Solve -h*
{ "pile_set_name": "DM Mathematics" }
= -1 + 1 + 8*u - 11*u. Calculate the remainder when 16 is divided by g(-3). 7 Let k(q) = -4*q - 2 + 5*q**2 + 4 - q**3 + 3. Let t be k(4). Suppose 5*l - 38 = -t*y - 3, -y + 1 = -2*l. Calculate the remainder when 8 is divided by y. 3 Let z(a) = 9*a + 5. Let p = 421 - 407. Calculate the remainder when z(4) is divided by p. 13 Suppose 3*p = -8 + 59. Suppose -2*s - 2*g - 2*g + 40 = 0, -g = s - p. What is the remainder when 27 is divided by s? 13 Let o(x) = -x**2 + 9*x + 11. Calculate the remainder when o(9) is divided by 7. 4 Suppose -9 = 3*q - 0, j = -q + 12. Calculate the remainder when 19 is divided by j. 4 Let a(m) = m**2 + m + 21. What is the remainder when 41 is divided by a(0)? 20 Let u(d) = -d**3 + 4*d**2 + d + 1. What is the remainder when u(3) is divided by 5? 3 Suppose -3 = -z + 2. Suppose 5*y - 4*s + 20 - 70 = 0, -3*y - 5*s = -67. What is the remainder when y is divided by z? 4 Let o = -5 - -4. What is the remainder when (60/(-16))/(o/4) is divided by 8? 7 Let z be 12*(20/16 + -2). Let b = 21 + z. What is the remainder when 3/(-9) - 134/(-6) is divided by b? 10 Let o(b) = 2*b**2 + 9*b + 2. Calculate the remainder when 79 is divided by o(-6). 19 Let m = 6 - -31. Suppose -19 = -3*a + 20. Calculate the remainder when m is divided by a. 11 Suppose -3*t - 2*t = -5*f - 10, 0 = 2*f + 3*t + 14. Let o = f + 7. What is the remainder when (2/(-3))/(o/(-9)) is divided by 2? 0 Suppose -1 - 7 = 2*o, -12 = k + o. Let x be (k + -1)/(-1) - 1. Suppose u - x = 3*u, -4*h + 28 = -4*u. Calculate the remainder when 5 is divided by h. 2 Suppose h - 4*d = 32, h = 3*d - 4*d + 22. Calculate the remainder when h is divided by (2 - 1)*13*(-1 - -2). 11 Suppose -k - 2*k + 39 = 0. Let u(n) = -n**3 - 9*n**2 + 7. Let p be u(-9). Suppose p = 4*w - 13. What is the remainder when k is divided by w? 3 What is the remainder when 82 is divided by (-33)/(-2) - 4/(-8)? 14 Suppose -2*s + 4*j + 31 = -s, -5*s + 89 = 2*j. What is the remainder when 206 is divided by s? 16 Let n = 42 + -26. Let f = 27 - n. Calculate the remainder when 31 is divided by f. 9 Let z = -52 + 158. Let q = -68 + z. What is the remainder when q is divided by 20? 18 Let f(r) = -6*r - 3*r + 10 + 8*r. Calculate the remainder when 19 is divided by f(0). 9 Suppose -12 = -4*p + 8. What is the remainder when 7 is divided by p? 2 Let d = 4 + -2. Suppose -3*z + 195 = 5*s, -4*z + 104 + 156 = -d*s. What is the remainder when z is divided by 22? 21 Suppose -340 = -3*t - t. Calculate the remainder when t is divided by 22. 19 Suppose 160 = 2*p + 3*p. Suppose 4*o + p = 136. Suppose 0*a - a = -o. What is the remainder when a is divided by 9? 8 Let y(j) be the second derivative of j**5/20 - 7*j**4/12 - j**3/3 + j**2/2 - j. What is the remainder when y(8) is divided by 17? 15 Suppose 3*k = -4 + 22. Calculate the remainder when 22 is divided by k. 4 Let h(d) = -d**2 + 24*d - 19. What is the remainder when 5 is divided by h(23)? 1 Let z = 17 - 5. Let x be 6/27 + 2/(-9). Let d(r) = -r**3 - r + 23. What is the remainder when d(x) is divided by z? 11 Let p(l) = l**2 + 11*l + 13. Suppose j - 5 = -16. What is the remainder when 50 is divided by p(j)? 11 Let p(f) = 2*f**2 + 2. Let k be p(3). Suppose 0 = -4*s + s + 9. Suppose -k = -2*w - s*w. Calculate the remainder when w is divided by 2. 0 Suppose -3*w + 429 - 156 = 0. What is the remainder when w/2 - (-2)/(-4) is divided by 23? 22 Let h = -3 - -24. Suppose 0 = -4*p - c + 39, -2*p + 5*p - 23 = -2*c. What is the remainder when h is divided by p? 10 Calculate the remainder when 3/(1*(-2)/(-22)) is divided by 7. 5 Suppose -4*o = -9*o. Suppose o = -j + 4*y + 24, 3*j + y - 18 = 15. What is the remainder when (-3)/(-3)*(25 - 2) is divided by j? 11 Suppose 5*a = 1057 - 282. Suppose 0 = 7*m - 12*m + a. Calculate the remainder when m is divided by 16. 15 Let m = 2 + 19. What is the remainder when m is divided by 4? 1 Let n = 2 + 0. Suppose -n*a + 34 = -6. Let k = -3 + a. What is the remainder when k is divided by 9? 8 Suppose 0 = g - 3, 2*c - g + 11 = 6*c. Suppose -i + 39 = c*i. Calculate the remainder when 49 is divided by i. 10 Suppose -3*a = -0*a - 51. Suppose 0*b + c - 7 = -b, -2*c + a = 3*b. What is the remainder when 9 is divided by b? 0 Let b(n) = -2*n - 4. Let c be b(-3). Suppose -c = -s - 0. Let z = -8 + 9. What is the remainder when s is divided by z? 0 Let n(s) = -s + 8. Let o be n(5). Suppose -135 = x - 6*x. Suppose -3*p + o*r = -x, 4*p - 3*r = 1 + 37. What is the remainder when p is divided by 4? 3 Let l = 60 - 31. What is the remainder when l is divided by 16? 13 Suppose 2*c + a - 30 = 0, 15 = 5*c - 4*a - 34. What is the remainder when c is divided by 4? 1 Let w(h) = -h - 3. Let k be w(-3). Let y = 10 - k. What is the remainder when y is divided by 4? 2 Suppose 17 = o + 1. What is the remainder when 47 is divided by o? 15 Suppose 19 + 41 = 4*i. Calculate the remainder when 88 is divided by i. 13 Let m = 29 - 42. Let k = 22 + m. Calculate the remainder when 16 is divided by k. 7 Suppose n = 2*n. Suppose -3*t = -n*t - 3. Calculate the remainder when t is divided by 1. 0 Suppose 0 = -4*w + 4 + 44. Let g(k) = 5*k - 3. Calculate the remainder when w is divided by g(2). 5 Suppose -3*k - v - 44 = 0, -k + 5*v + 2 = 2*v. Let f = k - -39. Calculate the remainder when f is divided by 14. 12 Let v(f) = -f**
{ "pile_set_name": "DM Mathematics" }
4/5) assuming d is positive. d**(288/115) Simplify (c**6*(c/(c**(3/4)*c*c*c))/c*(c**5/c)/(c**(2/13)/c))**(-5) assuming c is positive. c**(-1845/52) Simplify (o/o**(-3/2))**15/((o**(3/2)*o)/((o/o**6)/o)) assuming o is positive. o**29 Simplify ((s**(3/8)*s/(s**(1/7)/s))**(2/27))**(-26/5) assuming s is positive. s**(-325/378) Simplify x**(-9)/(x**(-22/3)/x)*x**12/(x*x*x**(2/7)) assuming x is positive. x**(190/21) Simplify ((d**(25/2))**(1/6))**(5/3) assuming d is positive. d**(125/36) Simplify (((i/(i*i*i/(i/(i/(i*((i*i**(-2))/i*i*i)/i*i))*i))*i)/i)/i)**(2/63)*(i*i*(i*i**(2/9))/i)/i**(11/4) assuming i is positive. i**(-47/84) Simplify ((x**(6/11)*x)/(x/x**(7/5)))/(x**5/x**(7/2)) assuming x is positive. x**(49/110) Simplify (s**(-33)/(s*s**(-1/48)))/(s**(1/2)/s*s/(s**(-11)*s)) assuming s is positive. s**(-2135/48) Simplify f*f**(-1/48)*f**15*(f*f**(-17))/((f*f*f**(4/3)*f)/f) assuming f is positive. f**(-161/48) Simplify (t/t**(-5))**(-32)/(t/((t**13*t)/t)*t/t**(3/4)) assuming t is positive. t**(-721/4) Simplify ((d*d**(-1/4))**36*(d**6/d)/(d/(d*d/d**5*d)))**(1/24) assuming d is positive. d**(29/24) Simplify (b**(-2/21)*b**(-1/3))/(b**(-1/3)/b**(1/16)) assuming b is positive. b**(-11/336) Simplify ((t*t**(-4))/t)**(4/11)/(t/t**14*t/t**9) assuming t is positive. t**(215/11) Simplify (h**3*h**(2/15)*h/(h/(h/(h/(h**(-4/5)/h))))*h**(2/9))**(-2/5) assuming h is positive. h**(-28/45) Simplify (p**6/p*p/p**(-4)*((((p/((p/(p**(2/7)*p))/p*p))/p)/p)/p)/(p*p**(-2/15)*p))**(-1/12) assuming p is positive. p**(-337/630) Simplify (y**(-17/5)/(y/(y/y**(3/10))*y))**(-33) assuming y is positive. y**(1551/10) Simplify (m**(-11)*m**(-2/21))/(m**(2/3))**(4/21) assuming m is positive. m**(-101/9) Simplify q**(-2)/(q/(q**(1/8)/q))*(q/(q*q**(-16)/q*q))/(q**(-3/10)/q) assuming q is positive. q**(537/40) Simplify d**(3/7)/d**(-1/11)*(d**(-1/3)/d)**40 assuming d is positive. d**(-12200/231) Simplify (g**(2/21)*g)/g**3*g**11*g**(-12/7) assuming g is positive. g**(155/21) Simplify (w**4*w)**(2/37)/(w**(3/7)/w**30) assuming w is positive. w**(7729/259) Simplify ((k/k**(1/5))/k*k)**(36/5)*k**(8/7)/k*k*(k**(-3)/k)/k assuming k is positive. k**(333/175) Simplify ((z**(1/3)*z*z/((z/z**6)/z))/(z**(-4)*z*z*z/z**(2/7)))**(-50) assuming z is positive. z**(-10100/21) Simplify (((j**(-2/7)/j)/j)**(1/55))**(2/29) assuming j is positive. j**(-32/11165) Simplify (r**(-1/7)/r)**(5/2)/(r/(r**19*r)*r**19) assuming r is positive. r**(-20/7) Simplify ((((m**(-1/12)*m)/m)/(m/m**(-8)*m))/((m*m/((m**(-5)/m*m)/m)*m)/(m/(m**(2/5)*m))))**(-2/17) assuming m is positive. m**(1169/510) Simplify (n**(-2/7))**(-1/19)/(n/n**(-2/27)*n)**(3/37) assuming n is positive. n**(-6782/44289) Simplify ((k*(k*k**14)/k)**(-9))**(-2) assuming k is positive. k**270 Simplify (q**(-4/3)/q)**(8/5)*(q**0*q)/q*(q/(q/(q*q**(-15)/q)))/q assuming q is positive. q**(-296/15) Simplify (a**(-10)/a*a**(1/2))/(a/(a/a**(-1)*a))**(1/30) assuming a is positive. a**(-313/30) Simplify (b*b**(-2/21)*b)/b*b**12*(b*b**17)/(b**15*b) assuming b is positive. b**(313/21) Simplify (((h/(h**(-1)/h))**31)**(-2/3))**(-5/6) assuming h is positive. h**(155/3) Simplify (((w/w**(-10))/(w*w**8*w))**(-22/7))**30 assuming w is positive. w**(-660/7) Simplify (i**(7/6))**11*i**27/(i/(i/(i/i**23))) assuming i is positive. i**(371/6) Simplify ((q/(q/(q*q**(8/3))))/q*q/(q*q**17))/(((q**(11/3)*q)/q)/q**(4/5)) assuming q is positive. q**(-86/5) Simplify (((l/(l*l**3)*l)**20)**(-2/7))**(-21) assuming l is positive. l**(-240) Simplify (f**33*f*f**(32/3)*f)/((f**(-1)/f)/(f*(f/(f/(f*f*f**34)))/f)) assuming f is positive. f**(251/3) Simplify (u/(u*u*u**(-36))*u*(((u*u*u**(4/5)/u)/u)/u)/u)/((u**22*u)/(u/u**(-1/3))) assuming u is positive. u**(197/15) Simplify (y**(-6)*y)**(1/42)*y**(-19/3)*y/(y*y*y**(-12)) assuming y is positive. y**(191/42) Simplify n**27/(n**27*n)*(n*n/(n*n/(n*n/(n/(n/n**(1/5)*n*n*n)))))/(n**(-1/6)*n) assuming n is positive. n**(89/30) Simplify (h/(h**10/h))**(-7/11)*h**19/(h**(-23)/h) assuming h is positive. h**(529/11) Simplify (l**(-10)*l*l*l*(l**(-20)*l)/l)/(l/((l/(l*l/l**8))/l))**(5/14) assuming l is positive. l**(-353/14) Simplify ((t*t*t/(t*t/t**(-2/33)*t*t*t))/(t/(t**(-2)/t)))/(t**(2/5)/(t*t/(t*t/t**(-6/11))*t)) assuming t is positive. t**(-991/165) Simplify (s/s**(-11/4))/(s*s**(-1)*s*s)*(s**(-1/6))**(-23) assuming s is positive. s**(67/12) Simplify j**(-13)/(j*j**(-23))*j/(j*j*j*j/(j*j/j**(2/7)*j)*j)*j*j**(-1/10) assuming j is positive. j**(603/70) Simplify a**10/(a*a*a**(3
{ "pile_set_name": "DM Mathematics" }
- 15. 2*m - 30 Collect the terms in 34*a - 62*a - 76*a. -104*a Collect the terms in 11*h - 25*h + 13*h + 11*h. 10*h Collect the terms in 267*p - 803*p + 2*p**3 + 267*p + 269*p. 2*p**3 Collect the terms in -29*i - 20*i - 25*i + 122*i - 33*i. 15*i Collect the terms in -3*m**3 + 910*m**2 - 910*m**2. -3*m**3 Collect the terms in 2145*h - 3*h**3 - 2145*h + 38*h**3. 35*h**3 Collect the terms in 155*g - 73*g**2 - 155*g. -73*g**2 Collect the terms in 123 - 123 + 288*o**2. 288*o**2 Collect the terms in -64*m**2 - 2*m**3 - 2*m + 64*m**2 - m**3. -3*m**3 - 2*m Collect the terms in 233*r - r**2 - 113*r - 120*r. -r**2 Collect the terms in 6*s + s + 24*s. 31*s Collect the terms in -15*k**2 + 30*k**2 - 14*k**2. k**2 Collect the terms in 7*h + 9*h**2 - 6*h - h + 2. 9*h**2 + 2 Collect the terms in 14920*q + 5*q**3 - 14920*q - 3*q**3. 2*q**3 Collect the terms in -8 - 5 + 19*v + 13. 19*v Collect the terms in -29*j**3 - 58*j**3 - 44*j**3. -131*j**3 Collect the terms in 148 - 148 - 171*v**3. -171*v**3 Collect the terms in 76*i - 37*i - 36*i. 3*i Collect the terms in 18*j - 70*j + 26*j + 27*j. j Collect the terms in -2*y**2 + 11*y - 9*y - 2*y. -2*y**2 Collect the terms in a + 3*a**2 - a - 13900 + 13900. 3*a**2 Collect the terms in 3*k**3 + 7223*k**2 - 7223*k**2. 3*k**3 Collect the terms in 1057*y - 4*y**2 - 1057*y. -4*y**2 Collect the terms in -4 - 38*m + 49*m + 4. 11*m Collect the terms in -144*a**3 + a**2 + 153*a**3 - a**2. 9*a**3 Collect the terms in 8*y + 2*y + 10*y. 20*y Collect the terms in -2*j**2 + 24639 - 24639. -2*j**2 Collect the terms in -13*p**3 + 20*p**3 - 6*p**3. p**3 Collect the terms in -48*b**3 - 56*b**3 + 121*b**3. 17*b**3 Collect the terms in -3*x**3 - x - x + 2*x. -3*x**3 Collect the terms in -27*a - 18*a + 67*a - 19*a. 3*a Collect the terms in 3817*o**2 + 53*o**3 - 3817*o**2. 53*o**3 Collect the terms in -8 + 7 + 1 - 650*q**2. -650*q**2 Collect the terms in -14*q + 2*q + 0*q. -12*q Collect the terms in -3*b**2 - 8*b**2 + 4*b**2 - 6*b**2. -13*b**2 Collect the terms in -9*n**2 + 43*n**3 + 2*n**2 + 7*n**2. 43*n**3 Collect the terms in -1642*x**2 - 9*x + 9*x. -1642*x**2 Collect the terms in 375 + 31*k**3 + 25*k**3 - 377. 56*k**3 - 2 Collect the terms in 24*l**3 + 0*l**3 - 7*l**3 - 13*l**3. 4*l**3 Collect the terms in 53*u**3 - 76*u**2 + 40*u**2 + 36*u**2. 53*u**3 Collect the terms in 3 + 23*g**2 + 0 - 3. 23*g**2 Collect the terms in -5924 + 2*v + 5924. 2*v Collect the terms in -1496*q - 3*q**3 + 751*q + 745*q + 4*q**3. q**3 Collect the terms in -49*c + 26*c + 29*c. 6*c Collect the terms in 5734*q**3 - 5733*q**3 + q - q. q**3 Collect the terms in 2*n**3 - 55*n - 54*n + 109*n. 2*n**3 Collect the terms in 16*b - 4*b**2 + 12*b - 28*b. -4*b**2 Collect the terms in 430 - 430 - 7*i**3. -7*i**3 Collect the terms in 8*y - 8*y - 7*y**2. -7*y**2 Collect the terms in 181*q**3 + 185*q**3 - 554*q**3 + 191*q**3. 3*q**3 Collect the terms in 110577 + 5*s**2 - 110577. 5*s**2 Collect the terms in l**2 + 2*l**3 - 5*l**2 + 0*l**2. 2*l**3 - 4*l**2 Collect the terms in -34*d**2 + 4*d**2 + 7*d**2. -23*d**2 Collect the terms in -38 + 38 - 4*p. -4*p Collect the terms in -148*b**2 - 150*b**2 - 157*b**2 - 155*b**2 + 605*b**2. -5*b**2 Collect the terms in -197*b**2 + 218*b**2 + 1 + 1. 21*b**2 + 2 Collect the terms in 10*b**3 - 26*b**3 + 13*b**3 + 6*b**3. 3*b**3 Collect the terms in 51*v**3 - 1 - 3*v + 3*v. 51*v**3 - 1 Collect the terms in -63 + 126 + 4*r**3 - 63. 4*r**3 Collect the terms in 1400 - 6*c - 1400 + c. -5*c Collect the terms in -1265 - 13*y + 1265. -13*y Collect the terms in -86*y + 173*y - 90*y. -3*y Collect the terms in -2*q + 1 + 2*q + 0*q + 8*q**3. 8*q**3 + 1 Collect the terms in z + z + 0*z - 8*z. -6*z Collect the terms in -71*p**2 + 36*p**2 + 35*p**2 + 29*p**3. 29*p**3 Collect the terms in -44*z**2 - 53*z**2 + 107*z**2 - z**3. -z**3 + 10*z**2 Collect the terms in 4*b + 2*b**2 - b**2 - 12*b. b**2 - 8*b Collect the terms in -14*k - 21*k - 23*k + 54*k. -4*k Collect the terms in 10 + 2*j**2 - 10. 2*j**2 Collect the terms in 26*j**2 - 37*j**2 + 13*j**2. 2*j**2 Collect the terms in 10*c**3 - 7 - 35*c**3 + 19*c**3. -6*c**3 - 7 Collect the terms in 105*q - 50*q - 52*q. 3*q Collect the terms in -1 +
{ "pile_set_name": "DM Mathematics" }
065663? 5065656 In base 11, what is 31a1 - 2? 319a In base 10, what is -1652 + -13? -1665 In base 9, what is 27 + 38731? 38758 In base 11, what is 9 - aa991? -aa983 In base 2, what is 11010011001011000 - -100? 11010011001011100 In base 9, what is -20 - -14274? 14254 In base 13, what is -3aca71 + 3? -3aca6b In base 10, what is 4 + -486375? -486371 In base 11, what is -1 + -21737? -21738 In base 8, what is 602057 + 0? 602057 In base 15, what is b + -ada? -ace In base 3, what is 0 - 1010002010212? -1010002010212 In base 10, what is 1 + -6296? -6295 In base 15, what is dc6 - -24? dea In base 16, what is 295c - -1? 295d In base 16, what is 2 - 7ef4? -7ef2 In base 10, what is 0 + 5517? 5517 In base 13, what is 2 + 10220? 10222 In base 13, what is -2 - -5954a? 59548 In base 8, what is 4 - -7276? 7302 In base 10, what is -288 - -1287? 999 In base 11, what is -181a5 + 40? -18165 In base 8, what is 0 - -4123077? 4123077 In base 12, what is -a86 - -34? -a52 In base 14, what is 3 + 3c194? 3c197 In base 12, what is -5 + -625b4? -625b9 In base 7, what is 10465 + 2513? 13311 In base 2, what is 101 - 101011000011? -101010111110 In base 3, what is 10202220 + -220? 10202000 In base 11, what is 0 + -1091313? -1091313 In base 11, what is 9a5 - -7a? a74 In base 3, what is 22011010000212 + 10? 22011010000222 In base 4, what is 212020 + 2032? 220112 In base 8, what is -162 - 163? -345 In base 6, what is -235334 - 2? -235340 In base 10, what is -59651 + 9? -59642 In base 2, what is 11101001010 - 1? 11101001001 In base 3, what is 1220202122 - 12? 1220202110 In base 10, what is 4 + 88016? 88020 In base 6, what is -1245123 - -10? -1245113 In base 15, what is -e23 + -1a? -e3d In base 12, what is b2 + -53? 5b In base 9, what is -260 + -487? -757 In base 10, what is -34677 + -24? -34701 In base 7, what is -154 + -1240? -1424 In base 11, what is 61431 - -40? 61471 In base 7, what is 4205 + 101? 4306 In base 11, what is 1 - 12068? -12067 In base 9, what is -5 + 30062? 30056 In base 6, what is -405151 + -42? -405233 In base 2, what is 11100111100111101011 - 101? 11100111100111100110 In base 8, what is -2372 + -23? -2415 In base 6, what is 3243 - -525? 4212 In base 7, what is -6 + -13346? -13355 In base 13, what is -66 - 2b1? -347 In base 13, what is -9c99 - 3? -9c9c In base 16, what is 2bb7ae - 3? 2bb7ab In base 7, what is -26 - 25266? -25325 In base 4, what is -230 - 11013223? -11020113 In base 15, what is -42c + -106? -533 In base 4, what is -11 + -3211011233? -3211011310 In base 12, what is -2 - 19468b? -194691 In base 6, what is 25 - 113033? -113004 In base 10, what is 251471 + 4? 251475 In base 6, what is 51214 + -2? 51212 In base 16, what is -918b + -1? -918c In base 8, what is -3 - 143577? -143602 In base 3, what is 11021 + -211001? -122210 In base 16, what is bb + -8bf? -804 In base 13, what is 1b4c + -b? 1b41 In base 10, what is 0 + -464? -464 In base 8, what is 10375 - -13? 10410 In base 13, what is 6 - 7bb3? -7baa In base 2, what is 1000111011 - 11? 1000111000 In base 8, what is 61431 - 5? 61424 In base 12, what is 47135 - 5? 47130 In base 9, what is 3374 - -5? 3380 In base 8, what is -305413 + 13? -305400 In base 12, what is 390125 - -8? 390131 In base 2, what is 11000111110111 - -111111? 11001000110110 In base 8, what is 33 - -140617? 140652 In base 10, what is -5 - -12559? 12554 In base 16, what is 0 - -1ce6f? 1ce6f In base 12, what is -29 + -2a8? -315 In base 10, what is -202 - 484? -686 In base 4, what is -121302 - -20? -121222 In base 2, what is -101 + -1011110011000111? -1011110011001100 In base 13, what is 3 - 1199cc? -1199c9 In base 6, what is 150110 + 42? 150152 In base 7, what is 0 - -133362? 133362 In base 4, what is 10 + -13312313? -13312303 In base 7, what is 3 - 2143622? -2143616 In base 8, what is 72 - 2171? -2077 In base 4, what is -313010002 + -2? -313010010 In base 12, what is -323a - 184? -3402 In base 10, what is -10 - 25874? -25884 In base 10, what is 20 - 4513? -4493 In base 16, what is -b43a6c - -1? -b43a6b In base 4, what is 1203332 + 3? 1210001 In base 5, what is 120432 + -40? 120342 In base 10, what is 2520 + -21? 2499 In base 14, what is 79 + -103? -68 In base 11, what is 5 - -34296? 342a0 In base 16, what is -7176e + 2? -7176c In base 10, what is -42630 + 5? -42625 In base 7, what is 10630 - -205? 11135 In base 13, what is 9 - -16409? 16415 In base 13, what is -1980 + 1a? -1963 In base 10, what is -4 + -22100? -22104 In base 14, what is 9b + 282? 33d In base 3, what is -120200101 + 20010? -120110021 In base 4, what is -20 - 221211? -221231 In base 2, what is -10000 + 111010111100? 111010101100 In base 5, what is 3 + -102144231? -102144223 In base 13, what is 1 + 107c54?
{ "pile_set_name": "DM Mathematics" }
= 0, -k = -5*h - k - 3*k + 9 for h. 3 Solve 502*m - 3 = 498*m + 5, -5*o + 3*m = 2*m - 4*m for o. 2 Solve 0 = 4*j + 22*o - 20*o + 4, 195*j - 4*o + 804 = 0 for j. -4 Solve -4*o - q = -24 + 14, -3*o - 5*o - 113 = -4*o - 3*o - 5*q for o. -3 Solve -5*u + 2*j - 49 = 0, -70 = 5*u - 24395*j + 24400*j for u. -11 Solve -3*k = -2*z - 42, -73*z + 1365 + 1429 = 3*k + 2752 for z. 0 Solve -4*k - 4*n = -24, -k - 45950 + 45976 = 3*n for k. -4 Solve 2*m + y = -12, -9*y - 93 - 3 = -8*m + 2*y + 6 for m. -1 Solve -3*d = 9, -12816*o + 12814*o - 24*d = 70 for o. 1 Solve 24825*x + 3*b = 24829*x - 26, 3*x + b = -0*x for x. 2 Solve 0*f - 17 = 3*m + 2*f + 2 + 13, -4*f + 2492 = -207*m for m. -12 Solve -2*h + 144 = -3*n, 3*h - 445*n - 1824 = 4*h - 407*n for h. 0 Solve 46 = -10*p + 2*f, 166*p - 20*f = 170*p - 44 for p. -4 Solve 4*n + 0*s + 2*s - 44 = 0, 130015*n - 130015*n = 5*s - 80 for n. 3 Solve 2*d + 0*a + 14*a = 94, -147*d = -148*d - 0*a - 3*a + 23 for d. 5 Solve -11*u + 5*w = 4*w - 16, -1977*w - 22 = 3*u - 1972*w for u. 1 Solve 26*f - 457*k + 458*k = -31, -12*f + 4*k + 8 = 0 for f. -1 Solve 22 = -2*x - 5*v, -20617 = x - 3*v - 20628 for x. -1 Solve -7*m + 19*w + 34384 = 17*w + 34317, -4*m + 0*m - 3*w + 59 = 0 for m. 11 Solve -6379 = -g - 5*y - 6359, 3*g + y = 8*g - 22 for g. 5 Solve -h + 17 = -2*y, 0 = -10*y - 3*h + 27 - 46 + 22 for y. -3 Solve 225 = 3*g - 4*t, -33 = -g - 38*t + 42*t + 194 for g. -1 Solve 3*x = -8*f - 162 + 110, -38 = 3*x + f for x. -12 Solve 4*c - 235*v + 234*v - 6 - 4 = 0, -89 + 715 = 2*c - 104*v for c. 1 Solve 3*s - 15*f + 705 = -18*f + 723, f - 426 = 83*s for s. -5 Solve 3*j - 15 = -15*z, 5*j - 17 = 9*z + 5 - 31 for z. 1 Solve 0 = 4*f - 2*y + 20, -570*f = -571*f + 19*y - 227 for f. 1 Solve -3*t = a - 12, 5*a = 6*t - 5*t - 36 for a. -6 Solve n + 8 = -m, 0 = 4*m + 2237*n - 2234*n + 26 for m. -2 Solve -4*z - 4*z - 3*z + 2*z + 171 = -14*h, -5*h - 70 = -5*z for z. 5 Solve 0 = 3*h + 7*v - 71, 76*h + 23*h + 3*v + 9 = 101*h - 46 for h. 26 Solve 7*p - 1668 + 1515 = 3*z, 6*z = 4*z + 2*p - 110 for z. -58 Solve 12 = -4*l + 4 - 4, 3*b + 10 - 46 = -l for b. 13 Solve 3*s + 284 = -10*j, -83*s + 56*s + 0 = -42*s + 3*j + 117 for s. 2 Solve -5*z - 6 = -k, 46201*z + 6 = 46204*z - 3*k for z. -2 Solve -4*x + 2*x - 10 = -5*k + 3*x, -5*k = 8*x + 3248 - 3232 for k. 0 Solve 0 = -17*i + 20*i - 10*i - x + 18, 0 = 3*i + x - 22 for i. -1 Solve -3*x = 5*a - 13, 1209*a + 1207*a - 2414*a = 4*x for a. 2 Solve c = 7*u - 67, 4*u = 161*c - 155*c + 60 for u. 9 Solve -5*o - 4*z = -30, 14 = 5*o - z + 9 for o. 2 Solve 24*n + 2*f = -136, 0*n - n - 122*f = -121*f + 12 + 12 for n. -4 Solve -5*g + 0*g = -g + 2*p + 28, 378 = -184*g - p for g. -2 Solve 384 = -2*x - 183*k, 5*k - 688 = x - 689 for x. -9 Solve 25*w + 146 = 4*f, -5*f = 5*w + 1 + 29 + 5 for f. -1 Solve -2*z - 31*t + 29*t = 4, -1 = -4*z + 3*t + 5 for z. 0 Solve -1226*n + 105 = -5*s - 1246*n, 4*s - n + 50 = 0 for s. -13 Solve 3*q + 29*o - 77 = 66*o - 31*o - 25*o, 9 = q - 2*o for q. 13 Solve 86*v = 0, -8543*v = -2*j - 8542*v for j. 0 Solve 7140*w = 7136*w - 2*o - 6, 3*o = -w - 4 for w. -1 Solve -o + 11*u - 15*u = 16, o + u - 3 + 7 = 0 for o. 0 Solve -29 = 3*c - 0*c - 4*c - o, 0 = 30*c - 4*o + 82 for c. 1 Solve 18*s - 3*d + 26 = 59*s - 46*s, -5*s + 2*d = 24 for s. -4 Solve -179*o + 23 = -180*o - 5*u - 5*u, -4*o - 247 = 9*u for o. -73 Solve 2*q - 3*h - 110 = -139, 6*q + 2*h + 4*h = 78 for q. 2 Solve -4*a = i - 0*i - 21, -4*a - 5 + 16 = -5 for i. 5 Solve -3*u - 4961 = -964*z, -6*z + 208 = -0*z - 2*z - 0*z - 4*u for z. 5 Solve -r = -4*z - 6, -z - 16*r + 272 = 253 - 207 for z. 2 Solve -4*o + 0*o + z = 3*z - 30, 0 = -2189*o + 2236*o + z - 465 for o. 10 Solve 2*k - z + 125 = 0, -3085*k + 3086*k = 3*z - 75 for k. -60 Solve -4*o - 3*o - 351 = 43*m - 22*
{ "pile_set_name": "DM Mathematics" }
f - 1. Let b(s) = -2*j(s) + 7*z(s). What is the second derivative of b(w) wrt w? 200 What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a? 66*a - 6 Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative of f(r) wrt r? -4368 Let u(c) be the third derivative of c**7/210 + 41*c**5/30 + 13*c**4/6 + c**3/6 - 173*c**2. Find the second derivative of u(w) wrt w. 12*w**2 + 164 Let g(k) be the second derivative of 5*k**8/56 - 11*k**6/15 - k**4/12 - 9*k**2/2 - k. Find the third derivative of g(l) wrt l. 600*l**3 - 528*l Let h be (18/(-10))/(27/(-180)). Differentiate -3 - h*c**3 + 2 + 0*c + 0*c with respect to c. -36*c**2 Find the second derivative of -2 + 2 + 2*o**3 - 28*o**4 + 30*o**4 + 20*o + 4*o wrt o. 24*o**2 + 12*o Let w be 20*3/(4 - 1). Suppose -p + 6*p - 5*o + w = 0, 8 = -5*p + 2*o. What is the third derivative of -4*x**2 + 2*x**5 + 3*x**3 + p*x**3 - 3*x**3 wrt x? 120*x**2 Let g(p) be the second derivative of 109*p**8/8 - 167*p**4/12 - p**3/2 - 2*p + 22. Find the third derivative of g(c) wrt c. 91560*c**3 Let p(r) be the second derivative of 47*r**4/12 + 29*r**3 - 14*r. What is the second derivative of p(c) wrt c? 94 Let h(i) be the second derivative of 17*i**5/4 + 183*i**2 + 6*i + 25. Find the first derivative of h(t) wrt t. 255*t**2 What is the derivative of -64*q**2 - 44*q**2 - 1497 + 1567 wrt q? -216*q Let c(z) = z**3 + z**2 + 2*z. Let i(v) = 2*v**4 + 5*v**3 + 5*v**2 + 172*v - 262. Let f(l) = -5*c(l) + i(l). Differentiate f(y) with respect to y. 8*y**3 + 162 Let r(x) = 5*x + 2*x**2 - 12 - 13*x + 6*x + 6*x. Let j(t) = 9*t**2 + 15*t - 48. Let c(l) = 4*j(l) - 15*r(l). What is the derivative of c(z) wrt z? 12*z Let y = -1003 + 1005. Let u(c) be the second derivative of 8*c + 2/3*c**4 + 0 + 0*c**y - 3/2*c**3. What is the second derivative of u(j) wrt j? 16 Let u = 327 + -321. Let l(h) be the first derivative of u*h + 1/2*h**2 + 1. What is the derivative of l(n) wrt n? 1 Let d(h) = -46*h - 205. Let o(m) = 46*m + 204. Let z(u) = -2*d(u) - 3*o(u). Differentiate z(x) wrt x. -46 Suppose 2*k = k + 4*q + 39, -2*q = -2*k + 66. What is the second derivative of 16*y + 10*y**3 + 7*y**3 - k*y**3 wrt y? -84*y What is the derivative of -44*u - u**3 - 31*u + 132 - 25*u wrt u? -3*u**2 - 100 Let w(l) = -6*l + 51. Let z be w(8). What is the third derivative of -73*m**3 - 2*m**4 + 73*m**z - 26*m**2 wrt m? -48*m Suppose -21*b + 10*b + 44 = 0. Find the third derivative of -4*l**4 - 6*l**4 + b*l**4 + 19*l**2 wrt l. -144*l Let c(n) = 23 + 2*n - 48 + 26. Let f be c(3). Find the first derivative of 12 + 2*k - f - 2*k + 7*k**2 wrt k. 14*k Let w(h) be the first derivative of -179*h**3/3 + 205*h + 187. Differentiate w(v) with respect to v. -358*v Let v be (-4)/12*-6*1. Differentiate 17 + 6*w**2 - 18 + w**v - w**2 with respect to w. 12*w Let g(d) be the first derivative of 2*d**6/5 - 4*d**2 - 7*d + 1. Let k(b) be the first derivative of g(b). Differentiate k(m) wrt m. 48*m**3 Let k(c) be the first derivative of -995*c**3/3 - 3*c**2/2 + 2. What is the second derivative of k(a) wrt a? -1990 Let j(y) be the second derivative of 64*y**7/21 - 53*y**3/6 - 2*y**2 - 2*y + 23. Find the second derivative of j(r) wrt r. 2560*r**3 Let o(q) be the second derivative of 61*q**7/42 + 25*q**4/4 - q + 45. Find the third derivative of o(y) wrt y. 3660*y**2 Let f(d) be the first derivative of -47*d**2/2 + 85*d + 50. Differentiate f(b) wrt b. -47 Let s(l) = 97*l**3 + 10*l**2 - 452*l. Let j(c) = 2*c**2 - 2*c. Let u(v) = 5*j(v) - s(v). What is the second derivative of u(a) wrt a? -582*a Let y be 5/(30/(-4)) - 28/(-6). What is the second derivative of 123*d - 5*d**3 + 4 - y - 146*d wrt d? -30*d Suppose 0 = 4*p + z + 2*z - 11, 0 = -3*p - z + 7. Suppose 3*u - 2 = -n, p*u - 4*u = 2*n - 12. Find the second derivative of n*v - 2*v**4 - 5*v**4 + 3*v wrt v. -84*v**2 Let k(c) be the third derivative of -c**7/35 - c**6/120 - 23*c**5/30 + 8*c**2 - 3*c. Find the third derivative of k(o) wrt o. -144*o - 6 Let q = -30 + -2. Let n = q - -34. Find the third derivative of -r**n + 8*r**2 - 11*r**4 + 4*r**2 wrt r. -264*r Differentiate -3*n + 70 - 35*n - 45*n wrt n. -83 Let j(u) be the second derivative of u**6/30 - 11*u**4/3 - u**3/6 + 155*u**2/2 + 270*u - 2. What is the second derivative of j(n) wrt n? 12*n**2 - 88 Let j(w) be the third derivative of -83*w**5/20 + 56*w**3 + 162*w**2. Differentiate j(m) with respect to m. -498*m Let
{ "pile_set_name": "DM Mathematics" }
- 60. What is the units digit of 9/u + 8/5? 1 Suppose 0 = -3*z - 5*z + 112. Let k(a) = -6*a + 30. Let b be k(z). Let w = b - -113. What is the units digit of w? 9 Suppose 13*r + 32 = 17*r. What is the units digit of (-2)/(16/(-2650)) + (-10)/r? 0 Let n(l) = -l**3 + 7*l**2 + 25*l - 55. Let j be n(9). Suppose -3287 - 3465 = -j*h. What is the hundreds digit of h? 8 Let x be 7 + (-6 + 2 - 0). Let b(f) = f**3 + 2*f**2 - f - 7. What is the units digit of b(x)? 5 Suppose 405 = 2*h + 5*j, -2*j - 655 = -0*h - 3*h. Suppose 4*a = -51 + h. Let p = a - 16. What is the tens digit of p? 2 What is the tens digit of -2*1*((-1273551)/(-6))/(-19)? 4 Let x(s) = -s**3 + 7*s**2 + 9*s + 2. Let k be (18/(-45))/((-1)/(-40)). Let g be (9 + -8)/((-2)/k). What is the units digit of x(g)? 0 Let h be 200/2*4*(-3)/(-30). Suppose 4*j = -j + h. What is the tens digit of 35 - (j/(-4) - -1)? 3 Suppose 5*v + 5 = 0, 3*o - 4*v - 2349 + 20 = 0. Suppose -5*q - 5*m = -o, -6 = -0*m + 2*m. Let p = q - 32. What is the hundreds digit of p? 1 Suppose 0 = -15*y + 5*y. Suppose -7*p + 13*p - 1026 = y. What is the hundreds digit of p? 1 Let n(o) = 1203*o**2 - 6*o - 4. Let m be n(-1). Suppose m = 4*x - 1099. What is the units digit of x? 6 Let v be (45/(-5) - -6)/(-3). Let f(y) = 388*y**3 - 2*y**2 + y + 2. What is the units digit of f(v)? 9 Suppose -26 = 7*d - 131. Suppose d*y = 6*y + 36. Suppose -2*a - 3*m = -105, m - 225 = -y*a - 2*m. What is the tens digit of a? 6 Let m = 38 - 42. Let f be (-1288)/(-42) + m/(-3). Suppose 29*g - f*g = -3. What is the units digit of g? 1 What is the tens digit of (130 - 11) + (-1)/((-3)/15)? 2 Let i be (-58)/6*3/(-1). Let w(z) = 52*z - 68. Let t be w(8). Suppose -25*m = -i*m + t. What is the tens digit of m? 8 Suppose 0 = -7*n - 39*n + 229080. What is the hundreds digit of n? 9 Suppose -40*u + 8*u = 6*u - 126160. What is the hundreds digit of u? 3 Suppose -67*c + 1099139 = -159941 + 223461. What is the units digit of c? 7 Let y = 21 - 44. Let o = y + -5. Let s = o - -67. What is the units digit of s? 9 Let x be ((-3)/2)/(36/(-2640)). Suppose -2*u + x = 14. Suppose -t + 4*t - u = 0. What is the tens digit of t? 1 Suppose 0 = k - 8*k. Suppose 5*f - 37 = -3*p, k*p + 4*p = 3*f + 1. What is the units digit of f? 5 Let n(l) = 35*l + 6*l - 20*l + 38*l + 7*l + 231. What is the hundreds digit of n(18)? 4 Let q(z) = 3*z + 52. Let u be q(-16). Suppose 4*f = u, 5*f = 3*l + 6*f - 1372. What is the units digit of l? 7 Suppose -25 = -6*u + 3*u - 5*t, 14 = 2*u + 2*t. Suppose 13*l + 2*a + 3020 = 17*l, -u*l + a = -3769. What is the hundreds digit of l? 7 Let l(s) = 6*s + s**2 + 10*s + 9 + 2*s**2 + 0*s**2. Let o be l(-6). Let z(w) = -w**2 + 28*w - 27. What is the units digit of z(o)? 0 Let z(m) = 45*m**2 + 58*m + 3236. What is the ten thousands digit of z(-34)? 5 Let a = -20089 - -35022. What is the units digit of a? 3 What is the units digit of (21308/28)/(10/220)? 2 Let a(u) = 24*u**3 - 2*u**2 + 13*u + 9. Let i(k) = -k**3 - 3*k**2 + 2*k. Let g be i(-3). Let p be a(g). What is the hundreds digit of (-6)/27 - p/27? 1 Suppose 7259 = 3*h + 14*h. What is the hundreds digit of h + 2*(-9 - -6)? 4 Suppose 0 = -6*q - 0 - 24. Let p be (150/(-39) - q) + 1928/(-26). Let j = p + 233. What is the hundreds digit of j? 1 Let t = 19405 - 5918. What is the tens digit of t? 8 What is the thousands digit of 51860*1 - 712/(-178)? 1 Let i(h) = -h**3 + 23*h**2 - 21*h + 20. Suppose -216 = -8*w - 64. Let x be i(w). What is the units digit of 6/(-18) + x/9? 8 Let z = 4 - 0. Let c be (z + -2)*2/4. What is the units digit of -1*(0 + -1)/c? 1 Let a(s) = 3*s**2 - 5*s + 22. Let v(h) = h. Let u(o) = a(o) - 6*v(o). Let n be u(15). Suppose 0 = -9*q + 1025 + n. What is the units digit of q? 3 Let r(a) = a**3 - 15*a**2 + 13*a + 17. Let t be (-96)/(-7) - 14/(-49). Let d be r(t). What is the hundreds digit of d*(-5)/60*-548? 1 Let m be 3125 - ((-28)/2)/(-2). Let y = m - 2091. What is the tens digit of y? 2 Suppose 0 = 102*c - 96*c - 6090. Suppose -4*k + c = -3073. What is the units digit of k? 2 Let i(d) = -d**2 - d - 1. Let y be i(-1). Let c be y/(267/(-1008) + 6/21). What is the units digit of 8/c + (-470)/(-12)? 9 Suppose -27*x = 22*x - 503865 + 146998. What is the thousands digit of x? 7 Suppose 2*o - 87 = -77. Suppose -2*r - 5*t + 4*t + 159 = 0, o = 5*t. Suppose -z + 5*x + r = 0, 2*z - 4*x - x - 143 = 0. What is the tens digit of z? 6 Suppose 167*x = -4*r + 163*x + 12020, -2990 = -r - 4*x. What is the tens digit of r? 1 Let a = -16713 + 19686. What is the hundreds digit of a? 9 Let c(w) = 37*w**2 + 31*w + 601. What is the thousands digit of c(-14)? 7 Let k(w) = -811*w - 8011. What is the thousands digit of k(-25)? 2 Suppose 289 = 6*
{ "pile_set_name": "DM Mathematics" }
2 - 123*h**3 + 191*h**3 - 1257 + 631. -2*h**3 - 1218 Collect the terms in 5102470*k - 578*k**2 - 5102470*k. -578*k**2 Collect the terms in 1346 - 3103*o + 1356 - 2702. -3103*o Collect the terms in -3977336314 + 3977336314 + 84*f. 84*f Collect the terms in -5*y**2 + 5*y**2 + 1089579*y**3 + 350496*y**3. 1440075*y**3 Collect the terms in 100*t**3 - 811 - 4*t**3 - 4*t**2 - 1026 + t. 96*t**3 - 4*t**2 + t - 1837 Collect the terms in 25*u**2 + 54*u**2 + 16*u + 2*u**3 - 187*u**2 + 54*u**2 + 54*u**2. 2*u**3 + 16*u Collect the terms in -319*p - 428*p - 1542*p. -2289*p Collect the terms in 0 + 4555*v - 1 + 3*v**2 + 32*v**3 - 2*v**2. 32*v**3 + v**2 + 4555*v - 1 Collect the terms in -37*h**2 - 742*h**3 + 78*h**2 - 1054*h**3 - 41*h**2 + 1802*h**3. 6*h**3 Collect the terms in 313*v**3 + 302*v**3 - 578*v**3 + 198*v**3. 235*v**3 Collect the terms in 21786*s**2 - 5887*s**2 - 10445*s**2. 5454*s**2 Collect the terms in z - 4*z - 6*z - 19*z + 0*z + 19*z - 4*z**2 + 15*z. -4*z**2 + 6*z Collect the terms in 19*x + 5*x + 330 - 1057 - 483. 24*x - 1210 Collect the terms in -3568 - 3568 - 3567 - 160*z + 10701. -160*z - 2 Collect the terms in -788*z**3 + 3816*z - 3817*z + 348*z**3 + 398*z**3. -42*z**3 - z Collect the terms in -3559*q + 21*q**3 + 1803*q - 23*q**3 + 1793*q. -2*q**3 + 37*q Collect the terms in 1065*d**3 + d - 7*d - 1037*d**3 + 6*d. 28*d**3 Collect the terms in -116 + 4*o**2 + 139 + 5*o - o**2 - 28. 3*o**2 + 5*o - 5 Collect the terms in -1614*b**3 + 13191*b**3 + 2911*b**3. 14488*b**3 Collect the terms in -41681*n**2 + 13910*n**2 + 13919*n**2 + 13823*n**2. -29*n**2 Collect the terms in 55697456094*p**2 - 55697456094*p**2 - 2*p**3. -2*p**3 Collect the terms in -195385*y**2 + 94691*y**2 + 100695*y**2. y**2 Collect the terms in 244*h - 572550891 + 572550891. 244*h Collect the terms in 2*j + j**3 - j**3 + 0*j**3 - 2662*j**2 - 21 - 2*j**3. -2*j**3 - 2662*j**2 + 2*j - 21 Collect the terms in 85 - 6*p - 84 + 0 + 2 - 3. -6*p Collect the terms in -9 + 392586*z + 15 - 6. 392586*z Collect the terms in -15143*h + 5045*h + 5065*h + 5028*h. -5*h Collect the terms in -392*o**3 - 797*o**3 + 7*o**2 + 728*o**3 - 7*o**2 - 443*o**3. -904*o**3 Collect the terms in 41*a - 894*a**2 + 2393*a**2 + 7639*a**2 - 41*a. 9138*a**2 Collect the terms in 263776287*o**2 - 131888145*o**2 - 131888140*o**2. 2*o**2 Collect the terms in -28226*t - 16252*t + 176 + 13163*t - 176. -31315*t Collect the terms in -7859*l + 15681*l - 82 - 7817*l. 5*l - 82 Collect the terms in -52797*t + 105593*t - 52795*t + 46. t + 46 Collect the terms in -23*m - 100 - 224 - 92 - 12*m + 416. -35*m Collect the terms in -33725713 + 67451444 - 33725732 + 4*a**3. 4*a**3 - 1 Collect the terms in -5441 - 5598 + 1285*h + 11039 - 1293*h. -8*h Collect the terms in -37*g**2 + 5*g**2 - 5638*g**3 + 32*g**2. -5638*g**3 Collect the terms in 6083*l + 4099*l + 4668*l. 14850*l Collect the terms in -589095*z**3 - 811922*z**3 - 1536774*z**3. -2937791*z**3 Collect the terms in -15452*y**3 - 5795*y + 15454*y**3 + 36677*y. 2*y**3 + 30882*y Collect the terms in -10743 + 5539 + s + 5204. s Collect the terms in 1099*z**2 + 19 - 1561*z**3 - 19 - 358*z**2 + 1562*z**3 - 364*z**2 - 377*z**2. z**3 Collect the terms in 908*y + 193728 - 193728. 908*y Collect the terms in -25*d**2 - 462 + 124 + 170 + 168 + 76*d**2. 51*d**2 Collect the terms in -1926861*q + 1926896*q + 6685*q**3 - 6683*q**3. 2*q**3 + 35*q Collect the terms in 23*q**3 - 16*q**3 - 16*q**3 - 34*q**3 - 15*q**3. -58*q**3 Collect the terms in 7551*i**2 + 12536*i**2 - 5526*i**2. 14561*i**2 Collect the terms in -132593 - j + 5*j + 625156 - 3*j. j + 492563 Collect the terms in 1476*h**3 - 3467*h**3 + 1064*h**3 + 930*h**3. 3*h**3 Collect the terms in -6*b**3 + 13*b**3 - 584 - 16409*b**2 + 16409*b**2. 7*b**3 - 584 Collect the terms in -797*o + 92*o - 492*o + 0*o**2 - o**2 + 0*o**2. -o**2 - 1197*o Collect the terms in 2 + 1 - 393*n**2 - 18*n**2 + 415*n**2 + 1. 4*n**2 + 4 Collect the terms in 9*m**3 - 31449*m + 10423*m + 9*m**3 + m**3 + 10514*m + 10512*m. 19*m**3 Collect the terms in 1208*o + 1834*o - 173*o + 20*o. 2889*o Collect the terms in 150534*l - l**3 - 75239*l - 75226*l. -l**3 + 69*l Collect the terms in -24*u**2 - 6*u**3 + 2*u**3 + u**3 + 63*u**2 + 0*
{ "pile_set_name": "DM Mathematics" }
+ 1/(38 + -43). -17 Calculate (-18 + 3718/195)*((-9)/6 + 3). 8/5 (-18)/27*(-3)/(-16)*-2 1/4 What is the value of (4/(-3))/(148/1776)? -16 What is the value of (-15)/(-13) + 20/(-130) - (-354)/590? 8/5 (5 + 4)/1035*(-75 + 77) 2/115 Calculate -34 + 40 - (-86)/(-16). 5/8 What is (-7 - 36)*-1 - (10 - -5)? 28 9216/4224 - (-326)/22 17 What is 55860/(-3591) - (-2)/(-18)*4? -16 What is ((-96)/(-10))/8 + 9 + -10? 1/5 What is the value of (58/14 - 4)*(72 - 74)? -2/7 What is (((-850)/153)/25)/(8/(-18))*26? 13 What is (753/8785)/((-2)/(-30))? 9/7 Calculate (-3 - -1)/((675/50)/((-7)/14)). 2/27 What is the value of (-3)/((-108)/(-13)) - 369/(-3321)? -1/4 (1/(-36)*1)/((-2)/(-6))*-3 1/4 What is the value of (-24)/39*1*((-752)/(-64) + -12)? 2/13 What is the value of 42/105*(-110)/187? -4/17 What is 21/(-56) - (5 - 1092/96)? 6 Evaluate (-46)/(-299) + (-1120)/2548. -2/7 Calculate (-4 - (-45)/10) + (6 - (-65)/10). 13 Calculate -6 + (12*1 - (-7980)/(-1365)). 2/13 (8/7)/((-6)/21*-9) 4/9 What is the value of 67/18 + (-889)/254? 2/9 Calculate (-4)/8*6*(40/(-6) + 4). 8 -24*(-5)/(-2480)*(-8)/6 2/31 Calculate 3340/2004 - 262/150. -2/25 What is the value of ((-21)/2)/((-276)/368)? 14 What is the value of ((-268)/(-1675))/(42/(-15))? -2/35 What is 45/15 + -2 + 11/((-1287)/120)? -1/39 (0 - 3)*(-57)/(-27)*33/11 -19 Calculate -44*(-12)/23232*(1 - -7). 2/11 Calculate -13 + (-4 - -8) + 9/1. 0 Evaluate 300/((-450)/30) + 15. -5 Calculate 20680/(-6204)*(4 - 0 - 1). -10 Calculate (1/(-3))/((-10)/(-150)). -5 -5 - (-3 + 7) - (-7 + 867/(-442)) -1/26 Calculate 1/(-1)*315/(-90). 7/2 Calculate 60/16*(-96)/36. -10 What is the value of (-5)/159*((-25)/625 + (-290)/250)? 2/53 What is 16214/1815 - (-18)/(-2)? -1/15 Evaluate (78/72*8 + -8)/(16/27). 9/8 255/(-18 + 3) - 3*(-8)/12 -15 What is the value of 6*(45/567)/(125/50)? 4/21 (-2 + 110/60)*-186 31 (-2)/17*2/(-3)*1644/1096 2/17 (1632/(-72) + 20)*2/(-136) 2/51 Calculate (-6)/(-585)*1155/(-154). -1/13 ((-792)/165)/((-8)/30) 18 Evaluate 1 - 5 - (-12)/16*(-432)/(-81). 0 (-36)/(-4) + (-27)/((-4455)/(-1425)) 4/11 Calculate (-477)/106 + (-46)/(-4). 7 (-1)/((-66)/648) - (40 + -30) -2/11 What is the value of (-402)/(-16) - (70 - 45)? 1/8 What is the value of (-20 - -39 - 23)*(-6)/(-8)? -3 Evaluate (2 + -3)/(-11*45/(-825)). -5/3 430/(6 + -49) - -2 -8 ((-144)/(-152))/9 - (-861)/(-57) -15 Evaluate ((-350)/875)/(4/90). -9 What is (-9)/3 + ((-58)/(-4))/(27/6)? 2/9 What is the value of (211/(-3798))/((-4)/(-30))*6/(-40)? 1/16 Calculate (-15*(-20)/750)/((-48)/(-10)). 1/12 Evaluate 5/(-10) - 0*((-48)/(-40))/6. -1/2 Calculate 2 + 8 + (-69 + 60 - -21). 22 Calculate ((-3267)/6831)/((-11)/6). 6/23 (-42)/(-14)*((-56)/6)/2 -14 What is the value of -3 + 8 + 1 - (4900/(-63))/(-14)? 4/9 (1*(-32)/14)/(-3 - (-95)/35) 8 Calculate (-5)/(10/(-16))*(4 + (-153)/34). -4 Calculate (-2 + -1)*230/207*-3. 10 Evaluate (-3)/((-9)/(-20))*330/(-220). 10 What is the value of ((-3)/(-4))/(22 + (-20985)/960)? 16/3 What is the value of (-74)/(-11) + 0 - 159/(-583)? 7 What is 4 + (51/6 - 10)? 5/2 (522/(-48) - 5) + 12 + 4 1/8 53/39 - (-2668)/8671 5/3 What is the value of (5 + -1 + 78/12)/(-9)? -7/6 Calculate (5 + -11 - 3/(-1))*(-1 + -2). 9 Evaluate 24 - -1*(-27 + 14) - 15. -4 Evaluate ((-210)/36 + 6)/(48/108). 3/8 (-43848)/2204 + (-4)/38 -20 What is 2/6*-3*(-80 + 67)? 13 2/84*3591/42 - 9/12 9/7 What is the value of (-10)/(-135) - (-5 + 572/(-297))? 7 (14/(-4) + 2)/((-1286)/(-76) - 17) 19 Calculate ((-25543)/356 - -73)/((-1)/4). -5 What is the value of (26/((-624)/18))/3? -1/4 What is the value of ((-192)/(-4896))/(6/68)? 4/9 15*33/(-990) + 53/2 + -2 24 What is 4/(-6)*67/335 + (-22)/10? -7/3 Calculate 12/(-1) - (-2870)/287. -2 Calculate ((-324)/63 + 5)/(-6 + (-108)/(-21)). 1/6 What is the value of (2*(-17)/5)/(46/115)? -17 What is the value of (-13)/((-455)/21)*-15? -9 (3 - 0) + 4011/(-711) + (-8)/(-3) 2/79 What is the value of 3*(-1)/36 + (-9)/(-4) + -2? 1/6 What is (-24)/1008*-18 - 132/14? -9 What is (-16048)/(-952) - 1*17? -1/7 (-12)/336 - (-2 - 89/140) 13/5 What is the value of 32 + 768/448 + ((-24)/(-21))/4? 34 Calculate 20/((-8)/(-16)*-4). -10 (3/(-27))/(((-40)/(-24))/(5/(-3))) 1/9 What is the value of (1 - ((-11)/1 + 0)) + (-1635600)/134850? -4/31 ((-84)/18)/(-7)*(1295/91 - 14) 2/13 What is (192/(-40))/(-8) + (-830)/1300? -1/26 Evaluate 80/(-96) - 285/90. -4 Calculate (2*-8)/(19 + (10 - 28)). -16 What is the value of (275/(-22) + 12)/((-2)/(-4*34))? -34 Evaluate (-2)/(-6)*(16 - 790/50). 1/15 What is the value of ((-96)/60)/(7
{ "pile_set_name": "DM Mathematics" }
ed by 3413? 338 What is the remainder when 281055 is divided by 8? 7 Calculate the remainder when 42702 is divided by 21296. 110 Calculate the remainder when 16903 is divided by 1515. 238 What is the remainder when 36838 is divided by 23? 15 What is the remainder when 685173 is divided by 763? 762 What is the remainder when 54871 is divided by 7833? 40 Calculate the remainder when 21017 is divided by 32. 25 What is the remainder when 14018 is divided by 92? 34 What is the remainder when 54178 is divided by 387? 385 Calculate the remainder when 24868 is divided by 414. 28 Calculate the remainder when 5152 is divided by 1210. 312 What is the remainder when 61183 is divided by 20304? 271 What is the remainder when 6265 is divided by 754? 233 Calculate the remainder when 285798 is divided by 10. 8 Calculate the remainder when 3028 is divided by 1465. 98 What is the remainder when 1884 is divided by 892? 100 Calculate the remainder when 1752 is divided by 826. 100 Calculate the remainder when 60667 is divided by 459. 79 Calculate the remainder when 6241 is divided by 1934. 439 Calculate the remainder when 1252517 is divided by 19. 18 What is the remainder when 349 is divided by 43? 5 What is the remainder when 69060 is divided by 5755? 0 Calculate the remainder when 13372 is divided by 6669. 34 Calculate the remainder when 49281 is divided by 243. 195 Calculate the remainder when 199008 is divided by 198989. 19 Calculate the remainder when 18447 is divided by 18445. 2 Calculate the remainder when 8102 is divided by 3976. 150 Calculate the remainder when 37460 is divided by 5332. 136 Calculate the remainder when 1632536 is divided by 15. 11 Calculate the remainder when 4624 is divided by 463. 457 Calculate the remainder when 16063 is divided by 29. 26 What is the remainder when 1003 is divided by 297? 112 What is the remainder when 2051 is divided by 1999? 52 What is the remainder when 104509 is divided by 85? 44 Calculate the remainder when 8573 is divided by 809. 483 Calculate the remainder when 1456 is divided by 46. 30 Calculate the remainder when 538 is divided by 83. 40 What is the remainder when 6075172 is divided by 46? 44 What is the remainder when 70630 is divided by 9? 7 What is the remainder when 502691 is divided by 22848? 35 What is the remainder when 168169 is divided by 56056? 1 What is the remainder when 3449 is divided by 215? 9 Calculate the remainder when 35922 is divided by 45. 12 What is the remainder when 409 is divided by 268? 141 Calculate the remainder when 109204 is divided by 114. 106 Calculate the remainder when 1013 is divided by 875. 138 What is the remainder when 132653 is divided by 132636? 17 Calculate the remainder when 4590 is divided by 230. 220 Calculate the remainder when 7186 is divided by 557. 502 Calculate the remainder when 34214 is divided by 622. 4 What is the remainder when 13910 is divided by 374? 72 Calculate the remainder when 11873 is divided by 676. 381 What is the remainder when 1890 is divided by 86? 84 Calculate the remainder when 45065 is divided by 886. 765 Calculate the remainder when 3917 is divided by 1940. 37 What is the remainder when 34621 is divided by 32? 29 Calculate the remainder when 7886 is divided by 190. 96 Calculate the remainder when 7664 is divided by 272. 48 Calculate the remainder when 582588 is divided by 291290. 8 What is the remainder when 735 is divided by 691? 44 Calculate the remainder when 155314 is divided by 602. 600 Calculate the remainder when 1834713 is divided by 3253. 21 Calculate the remainder when 4453 is divided by 178. 3 What is the remainder when 58756 is divided by 136? 4 Calculate the remainder when 1521 is divided by 314. 265 Calculate the remainder when 466938 is divided by 491. 488 What is the remainder when 3629 is divided by 1204? 17 What is the remainder when 4685 is divided by 302? 155 What is the remainder when 330503 is divided by 18? 5 Calculate the remainder when 772 is divided by 350. 72 What is the remainder when 3984 is divided by 6? 0 What is the remainder when 1955 is divided by 299? 161 What is the remainder when 207934 is divided by 1118? 1104 What is the remainder when 22204 is divided by 426? 52 Calculate the remainder when 24934 is divided by 654. 82 Calculate the remainder when 1437408 is divided by 718700. 8 Calculate the remainder when 46676 is divided by 26. 6 Calculate the remainder when 272423 is divided by 31. 26 What is the remainder when 1961861 is divided by 490464? 5 Calculate the remainder when 9881 is divided by 1218. 137 What is the remainder when 99630 is divided by 17? 10 Calculate the remainder when 3654805 is divided by 922. 919 What is the remainder when 142362 is divided by 753? 45 What is the remainder when 11153 is divided by 124? 117 What is the remainder when 2176 is divided by 2154? 22 Calculate the remainder when 4061 is divided by 310. 31 What is the remainder when 26726 is divided by 402? 194 Calculate the remainder when 2620 is divided by 338. 254 What is the remainder when 1857 is divided by 402? 249 Calculate the remainder when 145993 is divided by 76. 73 Calculate the remainder when 746 is divided by 37. 6 What is the remainder when 130191 is divided by 420? 411 What is the remainder when 235384 is divided by 18? 16 What is the remainder when 66672 is divided by 7? 4 What is the remainder when 12756 is divided by 12729? 27 Calculate the remainder when 1572 is divided by 249. 78 What is the remainder when 6014 is divided by 301? 295 Calculate the remainder when 30474 is divided by 1169. 80 What is the remainder when 49762 is divided by 52? 50 What is the remainder when 18270 is divided by 8943? 384 What is the remainder when 23345 is divided by 145? 0 What is the remainder when 1177 is divided by 146? 9 Calculate the remainder when 74855 is divided by 4399. 72 What is the remainder when 466530 is divided by 116630? 10 Calculate the remainder when 400331 is divided by 400312. 19 What is the remainder when 49735 is divided by 12? 7 Calculate the remainder when 458246 is divided by 668. 666 What is the remainder when 250554 is divided by 861? 3 What is the remainder when 50788 is divided by 384? 100 Calculate the remainder when 13555 is divided by 140. 115 What is the remainder when 87945 is divided by 862? 21 Calculate the remainder when 3952 is divided by 23. 19 Calculate the remainder when 9807 is divided by 175. 7 Calculate the remainder when 96915 is divided by 68. 15 Calculate the remainder when 8106 is divided by 271. 247 Calculate the remainder when 43148 is divided by 414. 92 Calculate the remainder when 6509554 is divided by 215. 214 What is the remainder when 63874 is divided by 73? 72 Calculate the remainder when 209973 is divided by 11. 5 Calculate the remainder when 26593 is divided by 2039. 86 What is the remainder when 115166 is divided by 12? 2 Calculate the remainder when 11839 is divided by 74. 73 Calculate the remainder when 17488 is divided by 5828. 4 What is the remainder when 27442 is divided by 41? 13 Calculate the remainder when 31087 is divided by 1. 0 What is the remainder when 44410 is divided by 11098? 18 What is the remainder when 35388 is divided by 11783? 39 Calculate the remainder when 674099 is divided by 126. 125 Calculate the remainder when 2010739 is divided by 108. 103 Calculate the remainder when 415009 is divided by 262. 1 Calculate the remainder when 187821 is divided by 126. 81 What is the remainder when 3772 is divided by 26? 2 Calculate the remainder when 114825 is divided by 577. 2 What is the remainder when 83229 is divided by 34? 31 What is the remainder when 101190 is divided by 146? 12 Calculate the remainder when 2363 is divided by 167.
{ "pile_set_name": "DM Mathematics" }
+ d**2) - 519 + 519 + 5*d**2. 4*d**2 Expand (-1 - 2 + 0 + (1 - 4 + 4)*(-2 - 3 + 4))*(158 - 158 + 136*c). -544*c Expand (-43*k + 4 - 1 + 46*k)*(4*k**2 + 0*k**2 - 3*k**2)*(-k + 3*k + 3*k). 15*k**4 + 15*k**3 Expand 5*s**5 + 2 - 2 + (-s**5 - 2*s**5 + 2*s**5)*(0 - 3 + 4) + 0*s + 0*s - s**5 - 5*s**5 + 6*s**5 - 3*s**5. s**5 Expand 0*c + c - 2*c + 4*c + c - 3*c + c - c + c + (-2 + 4 - 4)*(-2*c + c + 2*c) + c - 3*c + 4*c + 2*c + 6*c - 2*c. 8*c Expand (-3 - 1 + 2 + 1 - 1 - 2 + 3 - 3 + 2 - 2 + 2 + 1 - 3 - 1 + 2 + (-4 + 6 + 0)*(1 + 1 - 1) - 2 + 1 + 0)*(4*s**3 - 52*s**3 - 32*s**3). 160*s**3 Expand (-4*r + 3*r - 3*r)*(1 - 3 - 1)*(7 - 1 + 3). 108*r Expand (-24*b - 15*b + 7*b)*(-4*b**3 - 1 + 1)*(4*b - 2*b - b). 128*b**5 Expand (-1 + 1 + 2)*(p - 1 + 1) + p + p - p + (16 - 2 + 0)*(-4*p - 3*p + 11*p) + 2 + 4*p + 0*p - 2*p. 61*p + 2 Expand (3 - 2 - 4)*(-2*n**3 + 23 - 7*n**3 - 26) + 3*n**3 - n**3 - n**3. 28*n**3 + 9 Expand -5*n + 6*n + 3*n + (-3 + 0 + 4)*(2 - 2 - 2*n) - 2*n + 1 - 1 - 196 + 196 + 75*n. 75*n Expand (-x + 8*x - 8*x)*(-4 + 4 - 1 + (-7 + 2 + 3)*(-1 + 3 + 0) + 1 - 3 + 1) + (-x + 0*x + 3*x)*(3 - 4 - 1). 2*x Expand (3*y**2 - 4*y**2 + 3*y**2 + (5 - 2*y - 5)*(-y - 3 + 3) - 5*y**2 + 5*y**2 - 3*y**2 - 1 + 1 + 6*y**2)*(0 + 4 - 3)*(2 + 0 - 3). -7*y**2 Expand (1 - 1 + 2*k - 1)*(-2 + k + k + 260 + (3*k - 6*k + k)*(2 - 5 + 1)). 12*k**2 + 510*k - 258 Expand (0 - s + 0)*((-2*s + 0 + 0)*(-22 + 4 + 6) + (-5 + 2 + 1)*(4*s - 3*s - 2*s)). -26*s**2 Expand (11780 - o**2 - 11780)*(-3 - o**3 + 4 + 2*o**3 - o**2). -o**5 + o**4 - o**2 Expand (-2*o + 2*o - 2*o)*(3 + 2 - 6)*(3*o - 4*o + 2*o)*(45*o + 134 - 8*o - 136). 74*o**3 - 4*o**2 Expand (2*f - 1 + 1)*(-49 - 48 + 36 - f)*(0 + 3 - 4). 2*f**2 + 122*f Expand (-2*h**4 + 3*h**4 - 2*h + 0*h**4)*(12*h + 6*h - 15*h) + 0*h**5 + 2*h**5 + 0*h**5. 5*h**5 - 6*h**2 Expand (-10*t + 2*t + 2*t)*(-5*t + 2*t + 4*t) + 12 - 12 - 4*t**2. -10*t**2 Expand 3*p - p**3 - 3*p + p**3 + 1 - 1 + (11*p**2 - 14 + 14)*(p - 2*p - p) + (-2*p**2 - 2*p**2 + 3*p**2)*(2*p + p - 5*p). -20*p**3 Expand (-6 + 1 + 2)*(142 - 142 + 82*k). -246*k Expand (-739 + 739 - 6*h)*(2*h + h + h + (3 - 5 + 1)*(-1 - 2*h + 1) + 4*h + 0*h - 5*h). -30*h**2 Expand (-2*u - 2*u + 2*u)*(0 - 5 - 2)*(-4*u + 3*u + 3*u). 28*u**2 Expand (-5*s + 16*s - 2*s)*(4*s**3 + 10*s**3 + s**3). 135*s**4 Expand (-2*v**2 + 3*v - 3*v)*(-14 - 95 + 8*v + 55). -16*v**3 + 108*v**2 Expand (-3*f + 5*f + 0*f)*(4 - 2 - 1) + 3*f + 3*f - 5*f + (-2 - 3 + 3)*(-2*f + 0 + 0) - 32*f + 11*f + 15*f. f Expand (-2*g**3 - g**4 + 2*g**3)*(-2 - 2 + 2) + (4*g**3 - 3*g**3 + 0*g**3)*(-4*g - 9 + 9) - 3*g**4 + 6*g - 6*g - 2*g**3. -5*g**4 - 2*g**3 Expand (-1 - 1 + 1)*(10*p + 43*p - 16*p)*(-4 + 2 + 0)*(0*p - 2*p + p) + (-p + 3*p + 0*p)*(-3*p - p + 3*p). -76*p**2 Expand 0 + 0 - x + (2 + 2 - 2)*(-2*x + 3*x - 3*x) - 20*x + 22*x + 22*x - 2*x + x + 2*x + (0 + 1 - 3)*(-x - 2*x + 4*x) - 4 - 2*x + 4. 16*x Expand (-1 - 2 + 0)*(-12 - 7*d - 3*d + 8*d). 6*d + 36 Expand (-8*g**2 - 2 + 2)*(0 + 0 + 3*g) + 0*g**3 + 4*g**3 - 5*g**3 - 5*g**3 + 4*g**3 + 4*g**3 + 0*g**3 + 0*g**3 + g**3. -21*g**3 Expand 0 + 0 + 2*s**4 + (3*s**2 - s + s)*(-s - s + 8*s)*(2 - 2 - s + (0 - 3 + 2)*(-3 + 3 - 2*s)) - 31*s**4 - 51*s + 51*s. -11*s**4 Expand (-15*u + 42 - 42 + (-1 + 1 + u)*(-3 + 1 + 0))*(-7*u**2 + 5*u**2 + 3*u**2). -17*u**3 Expand (y**2 + 0*y**2 - 3*y**2)*(-38*y + 241*y + 223*y + 150*y). -1152*y**3 Expand -21*u**3 - 21*u**2 + 21*u**2 + (u**3 + u**3 + u**3)*(5 - 2 - 2) + u**3 - 2*u**3 + 0*u**3. -19*u**3 Expand (2 + 2*o**2 - 2)*(0 + 3 - 4)*(-5 + 2 + 2). 2*o**2 Expand (-21*j**3 - 20*j**3 - 78*j**3)*(0 - 1 + 3)*(0*j - 2*j + 5*j). -714*j**4
{ "pile_set_name": "DM Mathematics" }
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n. -2 Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x. 120 Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u. -10 Let m be (5/4)/((-2)/(-8)). Suppose -4*f = w + 11, -5*w = 3*f - m*f - 33. What is the second derivative of -7*t**4 - 2*t**w + 7*t**4 + t wrt t? -40*t**3 Let n be (-4)/2 + 3 - (-1 - -2). Let x(b) be the second derivative of 1/6*b**3 + 1/2*b**2 + n + 2*b. What is the derivative of x(i) wrt i? 1 Let r be -1*(2 - 0) - -7. What is the third derivative of -r*j**2 - j**6 - 20*j**5 + 20*j**5 wrt j? -120*j**3 Find the third derivative of -19*h**4 - 6*h**4 - 19*h**2 - 2*h**2 wrt h. -600*h Let w(r) be the first derivative of 10*r**3/3 + 7*r**2/2 - 4. What is the second derivative of w(g) wrt g? 20 Let l(o) = 11*o**2 - 14. Let q(p) = -p**2 - 1. Let g(i) = -l(i) + 5*q(i). Find the first derivative of g(h) wrt h. -32*h Let v(c) = -c**3 + 7*c**2 + 2. Let k be v(7). Differentiate 2*a + k*a + 3 - 5 with respect to a. 4 Let r(d) = d**3 + d**2 - d + 3. Let j be r(0). Find the second derivative of 0*c**3 + 3*c**5 + 2*c**3 - 2*c - 2*c**j wrt c. 60*c**3 Let p be (-3)/(-9) - (-59)/3. What is the second derivative of -36 - 3*r + 16 + p - 8*r**2 wrt r? -16 Let s(a) = -5*a**5 + 2*a**4 + 2*a**3 - 5*a**2 + 2. Let b(m) = m**4 + m**3 + m**2 + 1. Let v(c) = 6*b(c) - 3*s(c). Find the third derivative of v(h) wrt h. 900*h**2 Let g(r) = -4*r**5 - 3*r**4 + 3*r**3 - 3. Let x(u) = 3*u**5 + 4*u**4 - 4*u**3 + u + 4. Let q(j) = -4*g(j) - 3*x(j). What is the second derivative of q(f) wrt f? 140*f**3 Suppose -3*q + 6 = -0. Suppose -q - 1 = -d. Find the first derivative of 0*r**2 + r**d + 0*r**2 + 3 wrt r. 3*r**2 Suppose 2*g = -0*g + h + 13, 0 = -2*g + 2*h + 16. What is the third derivative of -2*p**5 - 2*p**g - 2*p + 2*p + 4*p**2 wrt p? -240*p**2 What is the second derivative of 5*q + 17*q**2 - 3*q**2 - q wrt q? 28 Let h(d) be the second derivative of -d**7/840 - d**6/180 - d**3/3 - 2*d. Let x(n) be the second derivative of h(n). Find the third derivative of x(j) wrt j. -6 Let n(r) be the second derivative of -2*r**7/7 + 3*r**3/2 - 13*r. What is the second derivative of n(j) wrt j? -240*j**3 Suppose 0 = -5*z + 5*d + 5, -2*z + 3*d - 8 = -d. Find the first derivative of 53*r**2 - 53*r**2 + 7*r**3 + z wrt r. 21*r**2 Let v(i) = -2*i**2 - 16*i - 5. Let j(x) = -2*x**2 - 17*x - 6. Let l(d) = -5*j(d) + 6*v(d). What is the second derivative of l(m) wrt m? -4 Let u(l) be the third derivative of -4*l**7/35 + 3*l**5/5 + 27*l**2. What is the third derivative of u(d) wrt d? -576*d Let h(b) = -4*b - 3. Let w(o) = -o**2 - o + 1. Let x(p) = h(p) + w(p). Let g be x(-4). What is the third derivative of 6*n - 6*n + 2*n**5 - n**g wrt n? 120*n**2 Let s(h) = -9*h**4 - 5*h**2 + h + 5. Let y = -8 + 6. Let o(f) = -4*f**4 - 2*f**2 + f + 2. Let j(z) = y*s(z) + 5*o(z). Find the second derivative of j(r) wrt r. -24*r**2 Let y be 98/28 + 1/2. What is the third derivative of -5*w**2 + 5*w**5 - 5*w**4 + 0*w**y + 5*w**4 wrt w? 300*w**2 Let l be ((-3)/4)/(1/(-4)). What is the derivative of v**4 + 0*v**3 + 4*v**4 + 5 + 0*v**l wrt v? 20*v**3 Let z(k) be the second derivative of 0*k**6 + 0 + 5/12*k**4 + 0*k**3 + 0*k**2 + 2/21*k**7 + 0*k**5 - 6*k. What is the third derivative of z(u) wrt u? 240*u**2 Let n = 5 + -3. What is the derivative of 3 - 2*m - n + 0 wrt m? -2 Let g(s) be the second derivative of 7*s**4/6 + 3*s**3 + 23*s. What is the second derivative of g(c) wrt c? 28 Suppose -5*u - 13 = -r, 3*r - 3*u = r + 12. Let g = r + -1. Differentiate -2 + 0 + g*v**4 + 0*v**4 with respect to v. 8*v**3 Find the third derivative of -6*u**2 - 34*u**3 + 15*u**3 - 2*u - 22*u**2 wrt u. -114 Let g = -55 + 58. Let z(h) be the second derivative of h + 1/4*h**4 + 0*h**2 + 0 - 2/3*h**g. Find the second derivative of z(a) wrt a. 6 Suppose -b + 5*v + 27 = -0*b, -2*v - 18 = -4*b. Let p(q) be the second derivative of 0 + q - 1/6*q**3 - q**b. What is the first derivative of p(r) wrt r? -1 Let c(j) be the first derivative of 4*j**2 + 18*j - 13. Differentiate c(a) wrt a. 8 Suppose g + 2*z + 6 = -0*g, 2*g - 3*z - 23 = 0. Let s(i) be the second derivative of 0*i**3 + 0 + 2*i + 1/6*i**g - 1/2*i**2. Differentiate s(b) wrt b. 4*b Let n(c)
{ "pile_set_name": "DM Mathematics" }
d (-t + 0*t - 2*t)*(-2*t**2 - t**2 + 4*t**2) + (-4 - 4 + 5)*(t**3 + 2*t**3 - t**3) + 2*t**3 - 12*t**3 - 9*t**3 + t**2. -28*t**3 + t**2 Expand ((3 + 3 - 4)*(2 + 2*q - 2) + (-6*q + 4*q - q)*(2 - 1 - 15))*(-3 + 1 + 1). -46*q Expand 3*d**5 - 5*d**5 + 0*d**5 - 9*d**4 + 9*d**4 - 25*d**5 + (1 + 0 + 2)*(4*d**5 - d**5 - 2*d**5). -24*d**5 Expand -a - 6*a + 2*a + (a + 10*a + 3*a)*(0 - 3 - 1). -61*a Expand (-d**3 + 4*d**3 - d**3)*(2*d**2 + 3*d**2 - 3*d**2) - 3*d**5 - 4*d**5 + 5*d**5 + 13932 - 154*d**5 - 13932. -152*d**5 Expand (-l**2 + 4 - 4)*(0*l**3 + 0*l**3 - 4*l**3) - 24*l**3 - 3*l**5 + 24*l**3. l**5 Expand (0 - 2 + 1)*(-3 + 0 - 1)*(-5*k + 8*k + 20*k). 92*k Expand (-3 - 2 + 1)*(-162*x**3 + 42*x**2 + 17*x**3 - 43*x**2). 580*x**3 + 4*x**2 Expand (-4*q + 4*q - 2*q**3)*(-5 + 4 + 0) + q**3 - 2*q**3 + 5*q**3. 6*q**3 Expand (182 + 241 - 203)*(0 + 0 - 1)*(-1 + 1 + 3*j). -660*j Expand (-1 + 0 - 1)*(-2*j + 4*j - j). -2*j Expand (71 - 151*j - 153*j + 306*j)*(-2*j + 1 - 1) + (-2*j + 0*j + j)*(-3*j + 6*j - j). -6*j**2 - 142*j Expand (-3*a + 3*a - 2*a)*(-a - 3 + 3) - 2*a**2 + 4*a**2 - 19*a**2 - 3*a**2 - 1 + 11*a**2 - 10*a**2 + (4*a**2 + 2*a**2 - a**2)*(4 - 1 - 5). -27*a**2 - 1 Expand (-3*o**4 + 12 - 12)*(-4*o + 16 - 16) + (-2*o**3 + o**5 + 2*o**3)*(-1 + 2 + 0). 13*o**5 Expand (2*l**3 - 3*l**3 - l**3)*(-l + l + l) - 4743*l**3 - 4 + 4743*l**3 - l**4. -3*l**4 - 4 Expand ((3*r - r - 3*r)*(-7 - 2 + 2) + r - r - 14*r)*(1 - 2*r - 1). 14*r**2 Expand (-36 + 57 - 39)*(4*f + 3*f - f). -108*f Expand (3*o - o - o)*(-1246 - 33*o + 1246) + (o + 3 - 3)*(-2*o + o - o) + 3 - 3 - 2*o**2. -37*o**2 Expand (-5*z + 4*z - 4 + 3*z)*(0 + 1 + 1)*(-z + 3*z - 4*z)*(0 + 5 + 12). -136*z**2 + 272*z Expand -154*k - 37*k**2 + 154*k + (1 + 7 - 1)*(-1 + k + 1)*(k - 2*k + 3*k). -23*k**2 Expand (2*o - 2*o + 2*o**2 + (3 - 4*o**2 + 0*o**2 - 4)*(-1 - 2 + 0))*(2 + 3 - 3). 28*o**2 + 6 Expand (-2*n - 2*n**2 + 2*n)*(5*n**3 - 32*n**3 + 8*n**3) - 10*n**5 + 2*n**5 + n**5. 31*n**5 Expand 3*b**4 - b**4 + 3*b**5 - 5*b**5 + (4 - 4 - b)*(-23*b + 23*b - b**4). -b**5 + 2*b**4 Expand (-45 - 67 - 26)*(3*s - 3*s - 2*s). 276*s Expand (-7 - 4 - 151)*(4 + 1 - 4)*(-4*s + 3*s + 2*s). -162*s Expand -3*h + 0*h**2 - 2*h**2 - h + 3 - 3 + 2*h**2 + (-4*h + 5*h - 2*h)*(2*h + 0*h - h) + h**2 + 2*h**2 - h**2 + (h + h - 3*h)*(0 + 0 - 4*h). 5*h**2 - 4*h Expand -19*z**2 - 37 + 37 + (-1 + 4 - 2)*(-2*z**2 + 0*z**2 + 3*z**2) + 2*z**2 + 12 - 12. -16*z**2 Expand (c**3 + 0*c**3 + c**3 + (0*c**3 - c**3 - c**3)*(-1 + 0 + 5))*(-13 - 4 + 29). -72*c**3 Expand 2 - 3*f - 2 + (2*f + 0*f + 0*f)*(0 - 2 + 4) + (-2 + f + 2)*(-29 + 13 + 23). 8*f Expand 4*b + b + 0*b + (1 - 1 - 1)*(8*b - 5*b + 8*b). -6*b Expand -99*t + 55*t + 48*t - 8*t + t + t + (2 - 3 + 3)*(-4*t + 2*t + t). -4*t Expand (-7 + 7 + 3*l**2)*(2*l**2 + 2*l**2 + 0*l**2)*(825 - 34*l - 825). -408*l**5 Expand (i**3 - i**3 - 2*i**4)*(2 - 4 + 4) + 0*i**3 + i**4 + 0*i**3 - 50*i**4 + 56*i**4 + i**3 + 2*i**3. 3*i**4 + 3*i**3 Expand (5*z - 12*z - 30*z)*(-29*z**2 - 28*z**2 + 8*z**2). 1813*z**3 Expand (-9 - 5*b**2 + 9)*(-13 + 1 - 5)*(-4 + 2 + 1). -85*b**2 Expand (4 - 4 + 1 + (3 + 0 - 2)*(2 - 2 + 2) + (-4 + 2 + 0)*(-3 + 2 + 0))*(-7*l**4 + l**2 - l**2) + 360*l**3 + 6*l**4 - 360*l**3. -29*l**4 Expand (1 + 1 + 3)*(3 - 5 + 4)*(-2*f + 3*f + 3*f). 40*f Expand (-15*p + 25*p - 8*p - 78)*(-2*p + p + 0*p). -2*p**2 + 78*p Expand (-1 + 3 - 3)*(9 - 14 - 12)*(4*v**2 - v**2 - 5*v**2 + (2*v - 2*v - 2*v)*(0*v + 4*v - 3*v)). -68*v**2 Expand (0 - 1 - 1)*(3*z - z + 0*z) - z + z - 2*z - 1400*z - 42 + 1640*z + 42 + 4125*z. 4359*z Expand (0 + 9 - 1)*(0 + 3 + 0)*(2*r**3 + 3 - r**3 - 1). 24*
{ "pile_set_name": "DM Mathematics" }
*2 + 2*q + 1. Let t be m(-1). Let o be -28 + t/((-6)/4). Let h = o + 28. Let r(u) = 3*u**2 + 2*u. What is r(h)? 8 Suppose -2*q = -6, 3*p + 2*q - 6*q = 87. Let g = p - 34. Let d(t) = 3*t - 1. What is d(g)? -4 Suppose x = -4*a + 11, -a - 2*x + 8 = -0*a. Let q(u) = -13*u**2 - 19*u + 11. Let v(r) = -5*r**2 - 8*r + 5. Let n(o) = -2*q(o) + 5*v(o). Calculate n(a). 3 Suppose -t - 20 = 60*c - 55*c, -9 = 3*t - 2*c. Let k(p) = p**3 + 5*p**2 + p - 4. Give k(t). -9 Let x(h) be the first derivative of -3*h**2/2 - h + 46. What is x(-4)? 11 Let j(y) be the third derivative of 0*y + 8*y**2 - 1/24*y**4 + 1/3*y**3 + 1/60*y**5 + 0. Give j(-2). 8 Let s(h) = h. Let m(i) = i**3 + 17*i**2 - 19*i - 12. Let l be (-6)/((-2)/(-6)*-3)*-3. Let y be m(l). Determine s(y). 6 Let o(c) = c + 5. Let r = -7 + 3. Let x be 24/((-16)/r) - 2. Suppose 14 = -x*w - 2*u, 3*u + 2 + 1 = -3*w. Calculate o(w). -1 Suppose -2 = -l - 8. Let f(h) = h**3 + 5*h**2 - 6*h - 5. What is f(l)? -5 Let d(p) be the second derivative of p**5/20 + 11*p**4/12 - 13*p**3/6 - 9*p**2/2 - p. Let w be d(-12). Let h(f) = 2*f - 1 + 1 + 0*f. What is h(w)? 6 Let r(o) = o**3 - 6*o**2 - 6. Suppose 2*v = 6, -3*c + 4*v + 9 = -0*c. Suppose c = -7*h + 49. Determine r(h). -6 Let k(p) = p**3 + 10*p**2 + 23*p + 15. Let r be k(-7). Let t(c) = -7*c + 3*c + 5*c - 2*c. Calculate t(r). -1 Suppose -4*a + 2*a + 5*t = 25, -5*a - 19 = 2*t. Let k(x) = 7*x - 7. Determine k(a). -42 Let k(y) = 4194*y + 1 - 1398*y - 1403*y - 1397*y. Determine k(-4). 17 Let a(p) = -p**2 - 10*p - 11. Suppose 0 = 12*j - 51 - 9. Suppose j*t = g + 4*g - 50, -2*g + 4 = 0. Determine a(t). 5 Let k = 11 + -12. Let b be (-96)/(-3) + 2 + k. Let j(w) = -b + 33 + w. Give j(1). 1 Let r(m) be the third derivative of 1/12*m**4 + 0 + 1/3*m**3 + 0*m + 1/60*m**6 + 0*m**5 + 11*m**2. Calculate r(-2). -18 Let h(r) = -r**2 - 6*r - 9. Suppose -3*w - 6 = 0, -7 = 4*v - 2*w + 13. Give h(v). -9 Let j(v) be the second derivative of v**3/3 + 3*v**2/2 + 2420*v. Suppose -5*t = 4 + 6. What is j(t)? -1 Let x(y) = -y**2 + 7*y - 3. Let a = -23 - -5. Let f be (-48)/a - 1/(-3). Determine x(f). 9 Let s(a) = 163*a + 175*a + a**2 + 166*a - 498*a. Calculate s(-5). -5 Let a(l) = -l**3 + 5*l**2 - l + 2. Suppose -3*n = -9*n. Suppose 0 = 3*o - 5*b - 15, -2*b = -n*b. What is a(o)? -3 Suppose 6 = 2*r - 4. Let d(y) = -y**2 - y + 11. Let b be d(r). Let x = 16 + b. Let l(c) = 2*c**2 + c - 3. Give l(x). 12 Let o(n) = 6*n**3 - n**2 + 3*n**3 - 8*n**3 - 1 - 3*n. Suppose -5*f = 4*r + 18, -4*f = -5*r + 3 - 5. Calculate o(f). -7 Let r(v) = -6*v**2 - 12*v - 3. Let c(y) = -y**2 - y - 1. Let g(x) = 5*c(x) - r(x). Calculate g(-5). -12 Let s(y) = -y**3 - 3*y**2 + 2*y + 1. Let r(c) = 5*c**3 + 2*c**2 - 3*c - 7. Let i(f) = -r(f) - 4*s(f). Give i(10). -47 Let m(x) = 2*x**3 - 3*x**2 - 2*x + 4. Suppose 9*u + 7 = 6*u - 4*v, 3*u + v - 5 = 0. Determine m(u). 25 Let n(c) = 18*c + 20. Let x(l) = 8*l + 9. Let i(u) = -3*n(u) + 7*x(u). Calculate i(-2). -1 Let r = -6 + 1. Let q(t) = 1 - 81*t**3 - 6*t**2 - 4*t + 4 + 80*t**3 - 1. Calculate q(r). -1 Let h(t) = t**2 + 7*t - 22. Let v(r) = -2*r**3 + 14*r**2 - 3*r + 12. Let s be v(7). Calculate h(s). -4 Suppose -61*o + 62*o + 2 = 0. Let h(d) = -d**2 + 1. Give h(o). -3 Let z(h) = 32*h - 410. Let o be z(13). Let n(w) = 3*w + 9. Let x(v) = -4*v - 9. Let c(k) = 5*n(k) + 4*x(k). What is c(o)? 3 Let y(u) = -29*u**3 + 2*u**2 + 2*u + 1. Let s be -1*2 - 10/60*-6. Give y(s). 30 Let n(z) be the second derivative of -z**6/720 + z**5/60 + z**4/2 + z**2/2 + 6*z - 1. Let i(k) be the third derivative of n(k). What is i(6)? -4 Suppose 357 = -30*c - 21*c. Let j(l) = 2*l + 3. Calculate j(c). -11 Let y(l) = -l**2 + 2*l - 5. Let s(k) = k**3 + 35*k**2 + 99*k + 99. Let m be s(-32). Give y(m). -8 Let a(l) = -12*l**3 + 21*l**2 - 2*l - 8. Let d(o) = -16*o**3 + 29*o**2 - 3*o - 11. Let b(i) = 11*a(i) - 8*
{ "pile_set_name": "DM Mathematics" }
4*o - 3 - 1 = f. Let j = n + 41. Solve 4 = -2*c + j*c for c. 2 Let a(s) = -3*s - 124. Let q be a(-42). Solve q*j - 6 = -16 for j. -5 Suppose -9*y + 8*y + 5 = 0. Suppose u = -2*t - 1, -y*u + 1 + 1 = 3*t. Solve 4 - u = -3*h for h. -1 Suppose 0 = -14*u + 13*u - 2, 0 = 3*a + 4*u - 13. Solve 0 = 4*z - a - 9 for z. 4 Suppose 3*j + 34 = -2*m + 9, m = -2*j - 13. Let x = m + 9. Let w be (0*x/8)/(-2). Solve w*v = v + 2 for v. -2 Suppose 0*f - 2*f + 8 = 2*o, 5*f + 3*o = 12. Let r = 154 - 56. Suppose f = 5*n - g - r, -6 = -5*g + 2*g. Solve -d + n = -5*d for d. -5 Let k(m) = -m. Let s be k(-3). Suppose 5*y - 3*x = 35, -s*y + 4 + 13 = -x. Solve y*i = 5 + 11 for i. 4 Let g be (-4)/6*(-5 + -1) - 4. Suppose h = 3*x + 11, g = -6*h + h - 2*x + 38. Solve 5*n - 3 = h*n for n. -1 Suppose 0 = -4*v + 5*s - 4*s + 10, 2*v - 12 = -3*s. Let q(t) = -t**2 + 8*t - 10. Let j be q(v). Solve -j*a = -6*a - 1 for a. -1 Let l(q) = -q**2 + 5*q + 7. Let c be l(6). Suppose 2*u - c = n - 2, -u = -3*n + 8. Suppose -3*r + 3*d - 6 = -3, 4*d - 8 = 0. Solve n = o + r for o. 2 Let w be 1/(-4) - (-21)/(-28). Let h be 4/8*12 + w. Solve h*n = 3*n for n. 0 Let s be (-30)/((-180)/12) - -1. Suppose -m + 4*m = 15. Solve -s*q + 4 = -m*q for q. -2 Suppose -2985*i = -2984*i - 3. Solve 4*f - i = 7*f for f. -1 Suppose 4*h - 12 = -0*h. Let m = h - 0. Suppose -7*b + 8 = -m*b - 3*p, 5*p - 45 = -5*b. Solve 0*z - 25 = b*z for z. -5 Let h = -55 + 64. Suppose -7*m - 2 = -h*m. Solve 0 = -7*c + 6*c + m for c. 1 Let i = 3 - 2. Let f(c) be the second derivative of -c**4/12 + 3*c**3/2 + 6*c. Let k be f(9). Solve 4*q - 15 - i = k for q. 4 Let l(i) = i - 18. Let c be l(22). Suppose -5*x = -4*b - 69, 0*b - 68 = -5*x + 3*b. Suppose -4*m - 1 = -2*g - x, 5*g = 4*m - 18. Solve m = -c*w - 2 for w. -1 Let o(l) = -l**3 + 4*l**2 - l + 2. Let q be o(3). Solve q = 5*g - 9*g for g. -2 Suppose -39*k + 34*k + 25 = 0. Solve p - k = -0*p for p. 5 Let q(b) = b**3 - 9*b**2 + 7*b + 8. Let j(s) = -s**3 + 7*s**2 + 8. Let i be j(7). Let g be q(i). Solve -5 = h - g for h. -5 Let h(a) = 4*a - 18. Let m be h(5). Let s = m - -1. Solve 0 = y - s*y - 6 for y. -3 Let i(a) = -a**3 - 8*a**2 - 3*a - 9. Let y be i(-8). Let n = y - 16. Let d be (-4)/(-16)*n*-8. Solve d*t - 2 = 4*t for t. -1 Suppose 18*o + 32 = 104. Solve -o*j + 15 = j for j. 3 Let r(j) = j**3 - 6*j**2 - 25*j - 13. Let y = -10 - -19. Let s be r(y). Let v be (-2)/(-8) + 11/4. Solve s = -v*g - 10 for g. -5 Suppose 0*b = 2*b - 6. Suppose 0 = 57*w - 54*w - 9. Solve w + b = -2*c for c. -3 Let v = -22 - -22. Suppose -4*o + 2*j - 3*j + 128 = v, 5*o - 3*j - 160 = 0. Suppose 5*r - o = r. Solve r = -2*i - 2 for i. -5 Let l(b) = -b. Let y be l(-8). Let u = 10 - y. Suppose -u*h = -5*h + t + 14, -22 = -5*h + 3*t. Solve -5*v + h = -10 for v. 3 Let p(j) = j**3 + 15*j**2 + 27*j + 13. Let v be p(-13). Solve v*o = 2*o for o. 0 Let g be 2/(1 + 1)*0/(-11). Let s = -13 - -3. Let j be ((-8)/s)/((-5)/(-75)). Solve 4*c + 4 - j = g for c. 2 Suppose 7*o = 5*o + 16. Let c be ((-10)/1)/((-4)/o). Let b = c - 14. Solve -3*r = -9 - b for r. 5 Let y(x) = 2*x + 14. Let b be y(-4). Solve -b = 4*u + 14 for u. -5 Let q(w) = w**3 + 3*w**2 - 5*w - 4. Let x(p) = 3*p + p + p - 2 - 6*p. Let u be x(2). Let r be q(u). Solve -z - z = r for z. 0 Let a be (-2 - 1 - 0) + 8. Suppose 2*n = 4*r + 4*n - 82, -4*r + 4*n = -52. Let h = r - a. Solve -2*c = h - 3 for c. -5 Let u be (-18)/(-5) - 36/60 - -2. Solve -u*a = -10*a - 5 for a. -1 Let f be ((-10)/8)/(1/(-4)). Suppose 0 = 6*r - 4*r - f*w - 25, -15 = 5*r + 3*w. Suppose p + 0 - 2 = r. Solve -3 = p*v - 5 for v. 1 Suppose 49 - 69 = -4*s. Solve 24 - 9 = s*a for a. 3 Suppose -3*n + 7*n + 3*v = 39, 6*n - 3*v = 21. Let c = 4 + -1. Solve c = -3*t - n for t. -3 Suppose 14*g - 10*g = 84. Solve -5*m + 4 = -g for m. 5 Suppose 0 = t + 2*h - 24, t + 5*h - 16 = 2. Let m be (-1)/(-3 + 80/t). Solve -m*d = -9*d for d. 0 Suppose 2*s - 27 = 15. Let r(n) = n + 12. Let v be r(6). Let o = s - v. Solve 0 = o*w - 0 + 3 for w. -1 Let n = 700 - 690. Solve -n
{ "pile_set_name": "DM Mathematics" }
PM How many minutes are there between 9:57 PM and 8:28 AM? 631 What is 634 minutes after 3:55 AM? 2:29 PM How many minutes are there between 4:09 PM and 8:05 PM? 236 How many minutes are there between 9:00 PM and 4:03 AM? 423 How many minutes are there between 2:33 AM and 5:13 AM? 160 What is 491 minutes before 7:58 PM? 11:47 AM How many minutes are there between 1:08 PM and 1:20 PM? 12 What is 432 minutes before 6:11 AM? 10:59 PM How many minutes are there between 7:46 PM and 11:46 PM? 240 What is 181 minutes before 9:51 PM? 6:50 PM What is 25 minutes after 1:32 AM? 1:57 AM How many minutes are there between 11:40 PM and 6:34 AM? 414 What is 63 minutes before 9:04 PM? 8:01 PM What is 6 minutes after 7:05 AM? 7:11 AM How many minutes are there between 8:58 AM and 6:07 PM? 549 How many minutes are there between 12:54 PM and 5:54 PM? 300 What is 12 minutes after 9:55 PM? 10:07 PM What is 670 minutes after 4:52 AM? 4:02 PM What is 38 minutes before 1:54 AM? 1:16 AM What is 611 minutes before 12:33 PM? 2:22 AM How many minutes are there between 4:49 PM and 6:55 PM? 126 How many minutes are there between 10:44 AM and 6:17 PM? 453 How many minutes are there between 2:52 AM and 7:29 AM? 277 How many minutes are there between 2:36 PM and 4:53 PM? 137 How many minutes are there between 4:57 PM and 2:33 AM? 576 What is 448 minutes before 5:13 AM? 9:45 PM What is 345 minutes after 7:42 PM? 1:27 AM What is 53 minutes before 8:07 PM? 7:14 PM How many minutes are there between 12:07 AM and 12:34 AM? 27 What is 636 minutes after 7:08 AM? 5:44 PM How many minutes are there between 3:10 AM and 4:47 AM? 97 What is 327 minutes after 9:01 PM? 2:28 AM How many minutes are there between 3:39 PM and 2:46 AM? 667 What is 62 minutes before 12:34 PM? 11:32 AM How many minutes are there between 2:59 AM and 8:23 AM? 324 What is 135 minutes before 5:36 AM? 3:21 AM How many minutes are there between 5:53 AM and 8:27 AM? 154 How many minutes are there between 6:14 PM and 3:04 AM? 530 What is 264 minutes before 6:01 AM? 1:37 AM How many minutes are there between 4:52 PM and 3:44 AM? 652 What is 345 minutes before 2:43 AM? 8:58 PM How many minutes are there between 2:37 AM and 2:05 PM? 688 What is 547 minutes before 8:15 AM? 11:08 PM What is 557 minutes before 2:50 PM? 5:33 AM What is 321 minutes before 9:32 AM? 4:11 AM How many minutes are there between 9:56 PM and 3:50 AM? 354 What is 458 minutes after 1:53 AM? 9:31 AM What is 492 minutes before 3:30 AM? 7:18 PM What is 317 minutes before 12:40 PM? 7:23 AM How many minutes are there between 4:05 PM and 9:32 PM? 327 What is 323 minutes before 7:55 AM? 2:32 AM What is 399 minutes before 3:23 AM? 8:44 PM What is 466 minutes before 11:05 AM? 3:19 AM What is 69 minutes before 4:57 PM? 3:48 PM How many minutes are there between 7:58 PM and 8:50 PM? 52 What is 430 minutes before 5:35 PM? 10:25 AM How many minutes are there between 5:25 AM and 10:18 AM? 293 What is 286 minutes before 1:46 AM? 9:00 PM What is 624 minutes after 1:57 PM? 12:21 AM How many minutes are there between 5:01 PM and 1:59 AM? 538 How many minutes are there between 2:19 PM and 10:05 PM? 466 How many minutes are there between 4:26 AM and 12:02 PM? 456 How many minutes are there between 4:30 PM and 7:16 PM? 166 How many minutes are there between 11:45 AM and 4:11 PM? 266 What is 706 minutes before 5:03 AM? 5:17 PM How many minutes are there between 12:13 AM and 6:51 AM? 398 What is 703 minutes before 11:40 AM? 11:57 PM How many minutes are there between 6:50 AM and 4:10 PM? 560 How many minutes are there between 5:51 PM and 11:18 PM? 327 What is 59 minutes after 6:31 PM? 7:30 PM What is 250 minutes before 11:15 PM? 7:05 PM What is 611 minutes before 4:20 PM? 6:09 AM How many minutes are there between 11:34 PM and 12:13 AM? 39 How many minutes are there between 2:18 PM and 4:15 PM? 117 What is 320 minutes after 11:42 PM? 5:02 AM How many minutes are there between 5:45 AM and 8:56 AM? 191 What is 176 minutes after 9:05 PM? 12:01 AM How many minutes are there between 2:45 PM and 8:03 PM? 318 How many minutes are there between 6:45 AM and 8:42 AM? 117 How many minutes are there between 12:18 PM and 8:00 PM? 462 What is 430 minutes before 2:31 AM? 7:21 PM How many minutes are there between 5:32 PM and 1:45 AM? 493 How many minutes are there between 5:17 PM and 2:45 AM? 568 How many minutes are there between 12:14 PM and 9:30 PM? 556 How many minutes are there between 3:09 AM and 11:34 AM? 505 How many minutes are there between 3:30 AM and 11:18 AM? 468 How many minutes are there between 7:05 PM and 1:44 AM? 399 What is 320 minutes before 7:18 AM? 1:58 AM How many minutes are there between 1:09 AM and 8:10 AM? 421 What is 667 minutes after 5:11 AM? 4:18 PM How many minutes are there between 6:50 PM and 4:14 AM? 564 How many minutes are there between 11:48 AM and 11:52 AM? 4 How many minutes are there between 9:23 AM and 2:06 PM? 283 What is 238 minutes after 4:36 PM? 8:34 PM What is 488 minutes after 10:41 PM? 6:49 AM What is 406 minutes before 10:51 PM? 4:05 PM How many minutes are there between 3:10 PM and 5:25 PM? 135 What is 101 minutes before 9:44 PM? 8:03 PM How many minutes are there between 3:11 AM and 7:41 AM? 270 How many minutes are there between 12:18 AM and 6:11 AM? 353 What is 191 minutes after 9:23 PM? 12:34 AM What is 49 minutes after 12:48 PM? 1:37 PM What is 156 minutes after 7:57 PM? 10:33 PM What is 623 minutes before 5:17 AM? 6:54 PM How many minutes are there between 5:42 AM and 9:56 AM? 254 How many minutes are there between 3:26 PM and 10:00 PM? 394 What is 482 minutes before 12:11 AM? 4:09 PM What is 374 minutes before 2:01 PM? 7:47 AM What is 354 minutes before 9:00 AM? 3:06 AM How many minutes are there between 4:41 PM and 12:52 AM? 491 What is 359 minutes before 8:32 AM? 2:33 AM What is 641 minutes after 8:46 AM? 7:27 PM How many minutes are there between 4:56 PM and 4:29 AM? 693 How many minutes are there between 4:18 PM and 3:50 AM? 692 How many minutes are there between 7:58 AM and 5:50 PM? 592 What is 59 minutes after 8:45 AM? 9:44 AM What is 468 minutes after 11:
{ "pile_set_name": "DM Mathematics" }
1/55 Calculate prob of sequence fx when two letters picked without replacement from {f: 4, d: 8, p: 2, x: 2}. 1/30 Two letters picked without replacement from jjnjjppnpnpnppn. Give prob of sequence np. 1/7 Calculate prob of sequence wqw when three letters picked without replacement from {w: 2, q: 2}. 1/6 What is prob of sequence sjd when three letters picked without replacement from hsjsphjhspdsshhhp? 1/408 Four letters picked without replacement from {g: 3, p: 4, q: 5, n: 1}. Give prob of sequence gqgq. 1/143 Two letters picked without replacement from jjjmjjjjjjmmjjjjjjjm. Give prob of sequence mj. 16/95 What is prob of sequence ccke when four letters picked without replacement from rkeecnkc? 1/210 Two letters picked without replacement from {l: 6, o: 3, y: 1, q: 3, p: 1}. What is prob of sequence qp? 3/182 What is prob of sequence yyyl when four letters picked without replacement from llyleleleylyyyy? 2/91 What is prob of sequence vvb when three letters picked without replacement from {b: 2, v: 2}? 1/6 What is prob of sequence llvt when four letters picked without replacement from vltvvkd? 0 Two letters picked without replacement from lssmemmcesqc. What is prob of sequence cl? 1/66 Three letters picked without replacement from {m: 8, t: 4, p: 1, f: 5}. What is prob of sequence mff? 5/153 Calculate prob of sequence vmv when three letters picked without replacement from mmvmvmm. 1/21 What is prob of sequence wooo when four letters picked without replacement from wwooo? 1/10 What is prob of sequence awrb when four letters picked without replacement from rarrrxarrbwratraarrr? 11/23256 Four letters picked without replacement from {k: 3, m: 4}. Give prob of sequence mmkm. 3/35 Two letters picked without replacement from zzxz. What is prob of sequence xx? 0 Calculate prob of sequence uebe when four letters picked without replacement from {b: 4, u: 8, e: 2}. 8/3003 What is prob of sequence wi when two letters picked without replacement from {i: 7, m: 2, w: 7, t: 2}? 49/306 Four letters picked without replacement from bttttbtttttt. What is prob of sequence bbtt? 1/66 What is prob of sequence jz when two letters picked without replacement from ssszsjnszzzssszzssnz? 7/380 Four letters picked without replacement from yyieeyeyyyeeyyyyy. What is prob of sequence yeei? 11/2856 Calculate prob of sequence sry when three letters picked without replacement from yssrkkeg. 1/168 Three letters picked without replacement from yyvvvvyvvvvyvvvvvyy. What is prob of sequence yvv? 52/323 Calculate prob of sequence hhdd when four letters picked without replacement from dqhduhdd. 1/70 Three letters picked without replacement from sxxxsssxssxxx. What is prob of sequence xss? 35/286 Three letters picked without replacement from effeffefeffe. Give prob of sequence eff. 7/44 Two letters picked without replacement from {l: 5, a: 2, b: 1, x: 3, w: 1}. Give prob of sequence xx. 1/22 What is prob of sequence iiee when four letters picked without replacement from iiiieiiiiiiei? 1/78 Calculate prob of sequence dij when three letters picked without replacement from {c: 1, q: 1, a: 1, i: 5, d: 4, j: 1}. 5/429 Calculate prob of sequence bbuu when four letters picked without replacement from ubuuuuububbbb. 21/286 Two letters picked without replacement from rrrrrurrruru. What is prob of sequence ur? 9/44 Three letters picked without replacement from {d: 3, z: 12}. What is prob of sequence ddd? 1/455 Two letters picked without replacement from {t: 2, l: 1, o: 1, q: 6, j: 2}. Give prob of sequence lj. 1/66 What is prob of sequence cgll when four letters picked without replacement from ccgggccgccgccggglgg? 0 Calculate prob of sequence ii when two letters picked without replacement from {i: 6}. 1 Calculate prob of sequence jt when two letters picked without replacement from {j: 1, t: 2, g: 1, l: 4}. 1/28 What is prob of sequence hnnh when four letters picked without replacement from {n: 14, h: 5}? 455/11628 Two letters picked without replacement from {d: 1, e: 2, w: 1, p: 4, v: 2}. What is prob of sequence ev? 2/45 What is prob of sequence jny when three letters picked without replacement from nnnnynjnjjnnjnnjnnj? 4/323 Calculate prob of sequence ul when two letters picked without replacement from llldlulullkuo. 7/52 Two letters picked without replacement from {l: 7, v: 1}. Give prob of sequence lv. 1/8 Three letters picked without replacement from {c: 5, j: 5}. What is prob of sequence jcj? 5/36 What is prob of sequence obm when three letters picked without replacement from {o: 2, g: 6, b: 1, m: 3}? 1/220 What is prob of sequence sshf when four letters picked without replacement from {s: 2, p: 2, f: 6, h: 3, e: 2}? 1/910 What is prob of sequence jr when two letters picked without replacement from jrrj? 1/3 Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjjzzzzjjjj. 30/143 Two letters picked without replacement from {l: 8, t: 1, a: 2, c: 2, e: 5}. What is prob of sequence ae? 5/153 What is prob of sequence nb when two letters picked without replacement from {r: 2, f: 7, n: 1, b: 2}? 1/66 Calculate prob of sequence bkrh when four letters picked without replacement from llhhrhrkhrrkrllb. 1/1092 What is prob of sequence fepf when four letters picked without replacement from {p: 1, f: 1, h: 2, e: 1, z: 1, n: 1}? 0 What is prob of sequence zh when two letters picked without replacement from {h: 3, z: 1}? 1/4 Calculate prob of sequence jw when two letters picked without replacement from jjjw. 1/4 What is prob of sequence eete when four letters picked without replacement from {e: 7, t: 7}? 35/572 Calculate prob of sequence byy when three letters picked without replacement from {b: 8, a: 7, y: 3}. 1/102 What is prob of sequence aga when three letters picked without replacement from {g: 2, j: 4, r: 4, a: 8, b: 1}? 56/2907 What is prob of sequence dddd when four letters picked without replacement from {d: 13, c: 6}? 715/3876 Calculate prob of sequence mf when two letters picked without replacement from ffmf. 1/4 Calculate prob of sequence dxdd when four letters picked without replacement from dxdd. 1/4 Four letters picked without replacement from {n: 2, u: 2, g: 2, v: 4, m: 2}. Give prob of sequence ungm. 2/1485 Four letters picked without replacement from {w: 9, l: 3, c: 7}. What is prob of sequence lwcl? 21/5168 Two letters picked without replacement from yayytyfaybayyab. Give prob of sequence bt. 1/105 Two letters picked without replacement from aauaahvchhaaachha. Give prob of sequence uh. 5/272 Four letters picked without replacement from {o: 17, d: 3}. Give prob of sequence ddoo. 4/285 Three letters picked without replacement from {o: 2, x: 3, n: 1, d: 3, r: 1}. Give prob of sequence rnx. 1/240 What is prob of sequence zaz when three letters picked without replacement from {z: 2, a: 1, n: 2, i: 8}? 1/858 What is prob of sequence se when two letters picked without replacement from {y: 5,
{ "pile_set_name": "DM Mathematics" }
05, -366/19? 0.05 What is the nearest to -1 in 2/991, -44, 4? 2/991 Which is the closest to -1/4? (a) 37 (b) -528 (c) 498 a What is the closest to 29 in -31/26, -33, 4/3? 4/3 Which is the closest to -25647? (a) -1 (b) 14 (c) -5 c Which is the nearest to -1? (a) 3 (b) -0.5 (c) -4 (d) 5 (e) -846117 (f) 0 b Which is the closest to 0? (a) -1/31 (b) 2 (c) -2/19 (d) -0.005 (e) 0.13 d Which is the closest to 0? (a) -3/28 (b) 0.04 (c) 252 (d) 57 b Which is the closest to 1/6? (a) 0.1 (b) -55 (c) 0.34644 a Which is the nearest to 289? (a) -1866 (b) 9 (c) -4/5 (d) -1 b Which is the nearest to 1/2? (a) -24290 (b) -4 (c) 176/5 (d) -2 d What is the nearest to -2/9 in 5, -10, -1830, -1, -5, 2/11? 2/11 Which is the nearest to 2/3? (a) 385 (b) 0.3 (c) 2138 (d) 5 b Which is the closest to 2/9? (a) -7 (b) 0 (c) 1/88 (d) 2 (e) -1300 c What is the closest to 3 in -36/5, -63, -11? -36/5 Which is the closest to 45? (a) 46 (b) -1/4 (c) -5 (d) -1 a What is the closest to 0.1 in -2/7, 0.06, -184, 1/7, -7/6, 0.1? 0.1 What is the nearest to 2 in 0.1, 1.6, -0.0846, 1, 2/7? 1.6 What is the closest to 2 in -77, 5/7, -63? 5/7 What is the closest to -1/4 in 0.4, -1, -1.3, -3966, 104? 0.4 Which is the closest to -47? (a) -630 (b) -3 (c) 0.33 (d) -2/3 b Which is the nearest to -0.1? (a) 1 (b) 8 (c) 6 (d) -5 (e) -1 e Which is the nearest to 85.2? (a) -0.1 (b) 52.7 (c) -2/5 (d) -4/7 (e) -3/8 b Which is the closest to 37? (a) 2 (b) -0.1 (c) 2/5249 (d) -8/7 (e) -4/9 (f) -0.3 a What is the nearest to -48/5 in 12, 0.97, 2, -1/3? -1/3 Which is the nearest to 0? (a) 42/11 (b) 1/35 (c) -0.48 b Which is the nearest to -1? (a) 2/9 (b) -598 (c) 2 (d) 54 (e) -2/7 e Which is the closest to 1/4? (a) -13 (b) -23573 (c) -5 (d) -1 (e) -4 d What is the closest to -4 in 2/5, 3/11, 3, 107? 3/11 What is the closest to 1 in -1/16, 3/7, -33014, 1/3? 3/7 Which is the nearest to 2.2? (a) 454 (b) -1 (c) 0.41 (d) -1/4 c Which is the closest to 1? (a) -0.3 (b) -0.4 (c) -1/21 (d) 1.71 (e) -77 d Which is the nearest to 151? (a) 2 (b) -68 (c) -1 a What is the nearest to -15 in -48, 9, 0.0839, 1/5, -0.5? -0.5 Which is the nearest to 0.4? (a) 2393 (b) 0.3 (c) -0.12 b What is the closest to 0.07 in 1/17400, -16, 2/9? 1/17400 Which is the closest to 1? (a) 131 (b) 0.2 (c) 3/40768 b Which is the nearest to -2/13? (a) 0 (b) -8 (c) 0.03 (d) -0.16746 d What is the nearest to -2 in -1/2, -665/687, 1/8? -665/687 What is the closest to -57/5 in 9.07, -0.4, -1? -1 Which is the nearest to -184? (a) -2/13 (b) 0.2 (c) 0 (d) -0.06 (e) 2 a Which is the nearest to -0.165? (a) 5 (b) 0.1 (c) 0.15 (d) -2326 b Which is the closest to 1? (a) -4 (b) 14387 (c) 5 (d) -0.4 (e) 0 e Which is the closest to -0.05? (a) -3/20 (b) -8/893 (c) 1/2 b Which is the closest to -1? (a) -1151212 (b) -4 (c) -1/9 (d) -0.3 d What is the closest to 0 in -44602, -0.6, -1, 2/13? 2/13 What is the closest to -4 in -6, 1701.85, -5, 2/3? -5 Which is the closest to 0.2? (a) 68 (b) -5/7 (c) 9 (d) -4/5 (e) 4 (f) 0 f Which is the closest to -1/3? (a) -2 (b) -4 (c) 32/101 (d) -6/13 (e) -3 d What is the nearest to 3 in -2/161489, 1/7, 5, -0.1, 0.1, -0.3? 5 Which is the closest to 1/4? (a) -0.284 (b) -2/5 (c) 3 (d) 2498 (e) -17/3 a Which is the nearest to 0.2? (a) -142 (b) -3 (c) -151/4 b Which is the closest to 612? (a) 1.45 (b) 6/13 (c) -10 a What is the closest to -0.1 in 1/197765, 7, 1? 1/197765 What is the closest to -0.4 in -2, 3711, -4, -19? -2 Which is the nearest to 8/5? (a) 0 (b) -0.1 (c) 5/40388 c What is the nearest to 7 in 8, 0, -288220? 8 What is the nearest to 2 in 0.1, -0.3, -0.11, 3/5, -48.65? 3/5 Which is the closest to -2/27? (a) -0.5 (b) -44 (c) 107 (d) -4/11 d What is the nearest to 157 in -1/6, 2/15
{ "pile_set_name": "DM Mathematics" }
= -y - 27, -144 = 4*y - 96 for r. -3 Solve 750*q - 754*q - 2 = -3*w, -2*q = -2 for w. 2 Solve 0 = -3*n + 5*d - 14, -22*n + 24*n + d + 5 = 0 for n. -3 Solve 9*k = -4*o - 41, 736*o - k = 733*o - 23 for o. -8 Solve -g + 18 = -2122*h + 2123*h, -g = -5*h + 6 for g. 14 Solve -275*s + 3 - 11 = -273*s, -p + s = -5 for p. 1 Solve -x = 3*s + 192 - 181, s + 0 = 4*x + 5 for s. -3 Solve -2*n = -y + 10, n + 91 - 71 = 2*y for y. 10 Solve -2*g = 3*w, -3*g = -3*w - 7 - 8 for w. -2 Solve 0 = -5*p + 5*d + 45825 - 45765, -5*p + 90 = 5*d for p. 15 Solve 9*m = 4*w + 6*m, -3*m = -5*w - 3 for w. -3 Solve 2*l + 10 = 0, -1447*j - 5*l - 40 = -1442*j for j. -3 Solve u = -5*l + 9, l - 19 = 4*u + 50 for l. 5 Solve c + 8 = 5*u, -256*c + 8 = -4*u - 257*c for u. 0 Solve -4*r + 1796 = 2*q + 1804, -6*q + 10 = -5*r for r. -2 Solve 0 = -4*w - 5*g + 8, 4*w - 529 = 5*g - 521 for w. 2 Solve m - 5*v = 60 - 35, m - 2*v - 10 = 0 for m. 0 Solve -239*h + 30 = 6*n - 236*h, 0 = 2*n + 4*h - 22 for n. 3 Solve -f + 108*a - 27 = 110*a, -3*f - 4*a - 59 = 0 for f. -5 Solve c = -5*i - 6, 0 = -1476*c + 1480*c + i - 14 for c. 4 Solve -2*r = -266*h + 267*h + 1, 5*r - h = -20 for r. -3 Solve -45 = 4*g - 5*h, 47*g - 45*g + 35 = 5*h for g. -5 Solve -1378*a + 1379*a + 18 = 2*g, -4*g + 32 = -3*a for a. 4 Solve -2257 = -u - 5*g - 2322, 0 = -3*u + 3*g + 39 for u. 0 Solve 0 = -5*c - 5*w - 25, -4*c - 19 = -2*c + 5*w for c. -2 Solve 36 = -4*i + 10365*f - 10369*f, -i + 3*f + 31 = 0 for i. 1 Solve 2*k = f - 16, 5*k + 34 = -14*f + 15*f for f. 4 Solve s - 11 = -4*j, 24*s - 12 = 20*s for j. 2 Solve -3*u + 73 = 4*m, -80*u + 76*u + 95 = 3*m for m. 1 Solve 5*x + 12 = 5*p + 42, 3*x = -4*p - 17 for x. 1 Solve 3*h = 5*b + 16, 16 = -2*b + 3*h - 5*h for b. -5 Solve -4*c + 16 = 0, 37*l - 2 = 30*l + 3*c for l. 2 Solve -4*z + 16 = 0, -3*m + 223*z = 227*z - 46 for m. 10 Solve 0 = 3*l, -2*l - 8 = -0*v - 4*v + 3*l for v. 2 Solve -i - 3*h + 82 = 80, 2*i - 6 = -4*h for i. 5 Solve -13 = 6*s + 164*j - 163*j, -2*s + 3*j = 21 for s. -3 Solve -4*h - 20 = z, z + 84 - 28 = -13*h for h. -4 Solve 17*o + 18 = -5*q + 23*o, -4*q = -5*o + 14 for q. -6 Solve 5*g + j = -10, -66*j = 3*g - 69*j + 24 for g. -3 Solve z + 5*r + 8 = 0, 2*z + 2*r - 5*r = 10 for z. 2 Solve 5*a + 4*b + 24 = 0, -5*b + 432 - 462 = -a for a. 0 Solve 5*h = -4*a - 25, 0 = -36*h + 38*h + 2*a + 10 for h. -5 Solve 0 = 4*j - 4*c, 13*j - 28*j = 16*j + 3*c - 68 for j. 2 Solve -2*d - 5*k - 17 = 0, 3*d - 6*d - 8 = 4*k for d. 4 Solve -79*y + 81*y - 11 = 3*d, -5*d - 12 = 3*y for d. -3 Solve -325*a = 4*k - 322*a - 1, 0 = -k + 33*a + 34 for k. 1 Solve 4*c + 40 = -5*a, 0 = 165*c - 163*c + 3*a + 24 for c. 0 Solve 48 = -o + 6*j, -4*o + 55*j = 52*j + 24 for o. 0 Solve 5*g - 2*u + 28 = 0, 0 = -483*g + 485*g + 3*u - 42 for g. 0 Solve 10*b - 14*b + a = -8, 3*b + 5*a + 17 = 0 for b. 1 Solve -4*r = 3*j + 7, 2*r - 21774*j + 21776*j + 6 = 0 for r. 2 Solve -2*y - 5*z + 23 = 0, 0 = -2766*y + 2764*y + 3*z - 17 for y. -1 Solve -256*o + 263*o + 3*a + 17 = 0, 2*a + 10 = -4*o for o. -2 Solve 3*l + 11*g + 18 = 15*g, -2*l - 1 = g for l. -2 Solve -272*h + 275*h + 49 = 4*g, 0 = 3*h + 10*g - 133 for h. 1 Solve 24*n + 12 = 21*n - 5*u, 4*n + 3*u = -16 for n. -4 Solve 3*h = 3*u - 63, -5*h - 264 + 129 = u for u. -5 Solve 59*v - 55*v = u - 9, -15 = 9*v - 4*u for v. -3 Solve 3*g - 3 = l, 4*g - 32 = 1183*l - 1177*l for l. -6 Solve -23 = -2*r - r - 8, -43*c + 3*r = -28 for c. 1 Solve 3*a - 7*a - 4*x = -0*a - 12, 47*a - 2*x - 190 = 0 for a. 4 Solve 65*k + 25 = 60*k, -k - 2 = z for z. 3 Solve -2*r + 14 = 4*i, -480*i + 3 = -478*i + 5*r for i. 4 Solve -4*k - 3*m - 26 = 0, 76*k = 80*k - 4*m + 12 for k. -5 Solve 4*t - 13 = r, 4222*t = -3*r + 4226*t - 15 for r. -1 Solve -412*w = -408*w - 5*
{ "pile_set_name": "DM Mathematics" }
0441789, -170441788? h - 170441791 What is the f'th term of 613835, 2455347, 5524535, 9821399, 15345939? 613838*f**2 - 2*f - 1 What is the t'th term of 5965, 15262, 24559? 9297*t - 3332 What is the g'th term of -1144, -2273, -3434, -4585, -5684, -6689, -7558, -8249? 7*g**3 - 58*g**2 - 1004*g - 89 What is the h'th term of 2721981, 2721982, 2721983, 2721984, 2721985? h + 2721980 What is the u'th term of -3769, -7886, -12003, -16120, -20237? -4117*u + 348 What is the i'th term of -868, -1495, -2156, -2857, -3604, -4403? -i**3 - 11*i**2 - 587*i - 269 What is the l'th term of -2425, -4889, -7377, -9889, -12425, -14985, -17569? -12*l**2 - 2428*l + 15 What is the m'th term of -62047, -61998, -61905, -61768, -61587, -61362, -61093? 22*m**2 - 17*m - 62052 What is the s'th term of -752861, -752835, -752809, -752783, -752757? 26*s - 752887 What is the q'th term of -393, -369, -329, -273, -201? 8*q**2 - 401 What is the f'th term of 5760547, 5760552, 5760557, 5760562, 5760567, 5760572? 5*f + 5760542 What is the b'th term of 2318, 1994, 1176, -382, -2926, -6702, -11956? -41*b**3 - b**2 - 34*b + 2394 What is the n'th term of 92624, 92219, 91814, 91409, 91004? -405*n + 93029 What is the h'th term of -2119939, -2119953, -2119967, -2119981, -2119995, -2120009? -14*h - 2119925 What is the w'th term of 123248540, 246497078, 369745616, 492994154, 616242692? 123248538*w + 2 What is the d'th term of 23963, 24421, 24883, 25349, 25819, 26293, 26771? 2*d**2 + 452*d + 23509 What is the b'th term of -4750, -18330, -40972, -72676, -113442, -163270? -4531*b**2 + 13*b - 232 What is the h'th term of 27152, 27154, 27160, 27176, 27208, 27262? h**3 - 4*h**2 + 7*h + 27148 What is the q'th term of 4662, 17729, 39202, 69081? 4203*q**2 + 458*q + 1 What is the q'th term of 801, 3364, 7599, 13500, 21061, 30276, 41139? -q**3 + 842*q**2 + 44*q - 84 What is the a'th term of -3545791, -3545852, -3545913, -3545974, -3546035, -3546096? -61*a - 3545730 What is the d'th term of -10891, -21847, -32849, -43897, -54991, -66131? -23*d**2 - 10887*d + 19 What is the o'th term of 3144, 5975, 8810, 11649, 14492? 2*o**2 + 2825*o + 317 What is the i'th term of -10889, -10656, -10271, -9740, -9069, -8264, -7331? -i**3 + 82*i**2 - 6*i - 10964 What is the t'th term of 2877593, 2877402, 2877211? -191*t + 2877784 What is the b'th term of 210571, 210549, 210505, 210439, 210351? -11*b**2 + 11*b + 210571 What is the a'th term of -119, -728, -1825, -3410? -244*a**2 + 123*a + 2 What is the c'th term of 2030574, 4061813, 6093066, 8124339, 10155638, 12186969? c**3 + c**2 + 2031229*c - 657 What is the q'th term of 3896, 7597, 11296, 14993? -q**2 + 3704*q + 193 What is the w'th term of 76956, 153911, 230866? 76955*w + 1 What is the p'th term of 41541, 41588, 41635, 41682, 41729, 41776? 47*p + 41494 What is the q'th term of -227404, -454857, -682310, -909763, -1137216? -227453*q + 49 What is the k'th term of -23970, -190768, -643502, -1525140, -2978650, -5147000, -8173158, -12200092? -23828*k**3 - 2*k - 140 What is the i'th term of -59917, -59886, -59859, -59836, -59817, -59802, -59791? -2*i**2 + 37*i - 59952 What is the x'th term of 35311, 70601, 105879, 141139, 176375, 211581? -x**3 + 35297*x + 15 What is the t'th term of -41, -2023, -8611, -22493, -46357? -448*t**3 + 385*t**2 - t + 23 What is the p'th term of -4734, -7766, -15984, -31980, -58346? -432*p**3 - p**2 - 5*p - 4296 What is the c'th term of -7638, -9210, -10594, -11784, -12774, -13558, -14130? c**3 + 88*c**2 - 1843*c - 5884 What is the b'th term of -13392, -13449, -13602, -13899, -14388? -8*b**3 - b - 13383 What is the f'th term of 134, 101, -704, -2893, -7078, -13871, -23884, -37729? -102*f**3 + 226*f**2 + 3*f + 7 What is the c'th term of -20560, -41183, -61874, -82639, -103484, -124415, -145438, -166559? -c**3 - 28*c**2 - 20532*c + 1 What is the u'th term of -4542, -36386, -122846, -291228, -568838, -982982, -1560966? -4551*u**3 - 2*u**2 + 19*u - 8 What is the a'th term of -1607, -1630, -1597, -1448, -1123, -562? 10*a**3 - 32*a**2 + 3*a - 1588 What is the u'th term of 171032, 171083, 171134, 171185? 51*u + 170981 What is the v'th term of -312222, -312239, -312266, -312303, -312350, -312407? -5*v**2 - 2*v - 312215 What is the v'th term of -137, -268, -397, -512, -601, -652, -653, -592? 2*v**3 - 11
{ "pile_set_name": "DM Mathematics" }
10658? -12770 What is next in -547, -657, -763, -865, -963, -1057? -1147 What comes next: -916, -748, -458, -40, 512, 1204? 2042 What is the next term in 442703, 442708, 442713? 442718 What is the next term in 1112261, 1112260, 1112259, 1112258, 1112257? 1112256 What comes next: 102, 133, 192, 285, 418, 597, 828? 1117 What comes next: -84, -235, -432, -675, -964? -1299 What is the next term in 9531, 9577, 9633, 9705, 9799, 9921, 10077? 10273 What is next in 1705, 1702, 1699? 1696 What is the next term in -462, -1719, -3812, -6741, -10506, -15107, -20544? -26817 What is the next term in -158, -145, -130, -119, -118, -133, -170, -235? -334 What is next in 384, 411, 436, 459? 480 What comes next: 53, 248, 731, 1646, 3137, 5348? 8423 What is next in 21367, 21363, 21357, 21349, 21339? 21327 What is the next term in -167308, -334612, -501916? -669220 What is next in 175, 315, 457, 601, 747, 895, 1045? 1197 What is next in -15466, -30902, -46324, -61726, -77102, -92446, -107752? -123014 What comes next: 216, 220, 230, 252, 292? 356 What is next in -88, 476, 2368, 6254, 12800, 22672, 36536, 55058? 78904 What is next in 818, 1667, 2508, 3341? 4166 What is next in 3068, 3088, 3124, 3176, 3244? 3328 What comes next: -1227, -2493, -3759, -5025, -6291? -7557 What is next in -5191, -10655, -16119, -21583, -27047? -32511 What is next in -32597, -65240, -97883, -130526? -163169 What is the next term in -38897, -38898, -38899, -38900, -38901? -38902 What is the next term in 35, 681, 1749, 3233, 5127, 7425? 10121 What is next in -579, -2213, -4935, -8745? -13643 What is the next term in -122310, -122306, -122300, -122292, -122282, -122270? -122256 What is the next term in 1247, 1249, 1251, 1253, 1255? 1257 What is next in 1815, 2077, 2793, 4191, 6499? 9945 What is the next term in -819, -965, -1097, -1209, -1295, -1349, -1365? -1337 What is the next term in -375, -764, -1211, -1746, -2399, -3200? -4179 What comes next: 1036, 4220, 9546, 17014? 26624 What is next in 420, 478, 556, 660, 796, 970, 1188, 1456? 1780 What comes next: -6321, -6655, -7005, -7377, -7777? -8211 What comes next: 291183, 582367, 873551, 1164735, 1455919, 1747103? 2038287 What is the next term in -18, -23, -12, 15, 58, 117, 192? 283 What is next in -40, -195, -448, -793, -1224, -1735, -2320, -2973? -3688 What is next in -10173, -19876, -29591, -39324, -49081, -58868, -68691, -78556? -88469 What is the next term in -1, -158, -619, -1546, -3101, -5446? -8743 What is next in 14, 4, -16, -52, -110, -196, -316, -476? -682 What is the next term in -53, -41, 5, 109, 295, 587? 1009 What is next in -382, -541, -700, -859? -1018 What is next in -10603, -21223, -31895, -42625, -53419, -64283, -75223, -86245? -97355 What comes next: -12422, -24877, -37404, -50039, -62818, -75777? -88952 What is the next term in 139, 274, 485, 772? 1135 What is the next term in -2063, -4125, -6197, -8285, -10395, -12533? -14705 What is next in -1705, -1703, -1729, -1807, -1961, -2215? -2593 What is the next term in 22855, 91372, 205547, 365380, 570871, 822020? 1118827 What is next in -721, -1415, -2109, -2803? -3497 What is the next term in -65686, -131345, -197002, -262657, -328310? -393961 What is the next term in 7162779, 7162777, 7162775, 7162773? 7162771 What comes next: 8165, 16360, 24555, 32750, 40945, 49140? 57335 What is the next term in 13437, 53782, 121035, 215196? 336265 What is the next term in -131251, -131246, -131231, -131200, -131147, -131066, -130951, -130796? -130595 What is next in 32749, 32632, 32515, 32398? 32281 What is next in 4319, 4350, 4395, 4460, 4551? 4674 What comes next: 129, 542, 1239, 2220? 3485 What is the next term in 3802, 15270, 34372, 61102, 95454, 137422, 187000, 244182? 308962 What is the next term in 34162, 68322, 102482, 136642, 170802, 204962? 239122 What is next in 14396, 14410, 14434, 14474, 14536, 14626, 14750, 14914? 15124 What is the next term in 3274, 3267, 3246, 3205, 3138, 3039? 2902 What is next in 923048, 923051, 923056, 923063, 923072, 923083, 923096? 923111 What comes next: -3745, -7359, -10961, -14545, -18105, -21635, -25129? -28581 What comes next: -2012887, -2012889, -2012901, -2012929, -2012979, -2013057? -2013169 What is the next term in -887993, -1775978, -2663963, -3551948, -4439933? -5327918 What comes next: 3494176, 6988350, 10482524, 13976698, 17470872, 20965046? 24459220 What is the next term in -902, -950, -1000, -1052? -1106 What is next in 9660, 19331, 29002, 38673, 48344, 58015? 67686 What is next in 12882, 25744, 38606, 51468? 64330 What is the next term in -516, -952, -1390, -1830? -2272 What is next in -49685, -99347, -149009? -198671 What is
{ "pile_set_name": "DM Mathematics" }
1)/3 Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c. 2*(c + 1)**2 Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0. -1/4, 0, 1/4, 1 Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3. l*(l + 4)**2*(3*l + 1)/5 Let u(q) = -q**2 + 2*q - 1. Let z(y) = y**3 + 14*y**2 + 14*y + 19. Let b be z(-13). Let w(l) = -9*l**2 + 16*l - 7. Let s(m) = b*w(m) - 51*u(m). Factor s(k). -3*(k - 1)*(k + 3) Suppose 8 = -7*j + 9*j. What is v in -15/4*v + 9/4*v**2 + 3/4*v**3 + 3/2 - 3/4*v**j = 0? -2, 1 Let l = -92 + 94. Factor 1/2*c**2 + l + 2*c. (c + 2)**2/2 Let w = -1/6 - -5/6. Determine p so that -w - p**2 - 3*p + 4/3*p**3 = 0. -1, -1/4, 2 What is n in 2/5*n - 2/5*n**3 - 2/5*n**4 + 0 + 2/5*n**2 = 0? -1, 0, 1 Let l(n) = -n**2 + 3*n + 1. Suppose 4*k - 19 = -7. Let z(g) = -k*g + 5*g - g. Let d(s) = -l(s) + 3*z(s). Let d(c) = 0. Calculate c. -1, 1 Let w(j) be the third derivative of j**8/5040 - j**6/540 + j**4/72 - j**3 - j**2. Let f(p) be the first derivative of w(p). Factor f(h). (h - 1)**2*(h + 1)**2/3 Let u = 1 - -1. Factor 4*g**2 - u*g - g**3 - 4*g**3 + 3*g**3. -2*g*(g - 1)**2 Factor -4/3*k**2 + 0 + 2/3*k - 2/3*k**5 + 4/3*k**4 + 0*k**3. -2*k*(k - 1)**3*(k + 1)/3 Suppose -10*o + 16 = -6*o. Let k be ((-9)/(-24))/(o/8). Factor -1/2*g + 1/4*g**2 + 0 + k*g**3. g*(g + 1)*(3*g - 2)/4 Suppose 3*c - 12*k + 16*k + 5 = 0, 0 = 5*c + 3*k - 10. Find z, given that -3/5*z**3 - 3/5*z**4 + 0*z - 1/5*z**2 - 1/5*z**c + 0 = 0. -1, 0 Let w be 1/(-2)*(3 + -3). Suppose 5*s - 6 - 4 = w. Factor -k - k**2 + k**s + k**2 + 2*k. k*(k + 1) Let u(j) = -2*j**2 - 3 + 0 + 3 + 4*j**3. Let g be u(2). Determine r, given that -g*r + 3*r**2 + 8 + 10*r**3 + 4 - 12*r**2 + 17*r**3 = 0. -1, 2/3 Let c(h) be the first derivative of -10*h**6 + 424*h**5/5 - 280*h**4 + 448*h**3 - 352*h**2 + 128*h - 17. Find x such that c(x) = 0. 2/5, 2/3, 2 Let l(u) = 2*u - 3 - u**4 + u - 2*u**3 + u**2 - u. Let n(i) = 148 + 3*i - i**3 - 149 - 2*i. Let y(s) = 2*l(s) - 6*n(s). Find d such that y(d) = 0. -1, 0, 1 Let u(v) be the second derivative of 0*v**2 + 0 - 1/10*v**5 + 0*v**3 - v + 1/30*v**6 + 1/12*v**4. Factor u(c). c**2*(c - 1)**2 Let q = -275/12 + 23. Let p(l) be the third derivative of 0*l + 0 - q*l**4 + l**2 - 1/30*l**5 + 0*l**3. Factor p(v). -2*v*(v + 1) Find j such that -3*j**4 - 3*j - 304*j**2 - 3*j**5 + 3 + 6*j**3 - 6 + 310*j**2 = 0. -1, 1 Let f(i) be the second derivative of 0 + 1/12*i**4 - i - 1/2*i**2 + 0*i**3. Factor f(a). (a - 1)*(a + 1) Suppose 0*r - 1125 = -5*r. Find p such that 225 + p**3 - r - p**5 = 0. -1, 0, 1 Let m(b) be the third derivative of b**5/100 + 3*b**4/40 + b**3/5 - 35*b**2. Find t, given that m(t) = 0. -2, -1 Let c(h) be the third derivative of -h**8/112 - 3*h**7/70 - h**6/20 + h**5/10 + 3*h**4/8 + h**3/2 - 13*h**2. Factor c(w). -3*(w - 1)*(w + 1)**4 Suppose -32/3*j + 2/3*j**2 + 128/3 = 0. Calculate j. 8 Solve 2*r**4 + 2*r**5 - 3*r**4 - r**4 + 0*r**5 = 0 for r. 0, 1 Let r be 462/12*(-6)/9. Let t = 27 + r. Find h such that 6*h**3 - 40/3*h**2 + 26/3*h - t = 0. 2/9, 1 Factor 9/2 + 30*q + 50*q**2. (10*q + 3)**2/2 Factor 0*z**2 - 1/6*z**3 + 0*z + 0 - 2/3*z**4. -z**3*(4*z + 1)/6 Let g(b) be the first derivative of b**3 - 9*b**2 + 27*b - 17. Factor g(w). 3*(w - 3)**2 Suppose -10*n**2 - 2*n**3 + 7*n**4 + n**4 - 6*n - 6*n**4 = 0. Calculate n. -1, 0, 3 Let l(w) be the second derivative of -w**9/37800 + w**7/6300 - w**4/4 + w. Let s(t) be the third derivative of l(t). Let s(z) = 0. Calculate z. -1, 0, 1 Let d(z) be the third derivative of 1/4*z**4 + 9/20*z**5 + 0 + 0*z + 0*z**3 + 2*z**2. Factor d(f). 3*f*(9*f + 2) Suppose d - 16 = 5*n, -n - 128 = -3*d - 2*d. Suppose 3*t + 4 = -b + 21, -4*t = 3*b - d. What is k in 1/3*k**3 - 1/3*k**
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h? 4*h**3 Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s? -24*s**2 Let j(r) be the first derivative of 6*r**5/5 + 3*r - 1. Differentiate j(f) with respect to f. 24*f**3 Suppose a + 4*d - 6 = 3*d, -a + 18 = 4*d. Let i(u) = 11*u**2 + 24. Let w(q) = -3*q**2 - 6. Let t(z) = a*i(z) + 9*w(z). Find the first derivative of t(j) wrt j. -10*j Let c(f) = -25*f**3 - 6*f**2 - f - 6. Let q(r) = -r**3 - r**2 - 1. Let k(m) = -c(m) + 6*q(m). What is the second derivative of k(p) wrt p? 114*p Let o(i) = -i - 9. Let b be o(-13). Differentiate -4 + b + p**4 - 1 wrt p. 4*p**3 What is the third derivative of -125*p**3 + 125*p**3 + p**2 + 4*p**4 wrt p? 96*p Let q(b) be the first derivative of -4*b**3/3 - 6*b - 1. Find the first derivative of q(s) wrt s. -8*s Let t be (10/(-4))/((-1)/(-2)). Let n = t + 8. Find the first derivative of n*m**2 - 7*m - 2 + 7*m wrt m. 6*m Suppose 0 = -4*u + 2*u + 8. Suppose a - 13 = 3*q, -2*a + 6 + 12 = -u*q. What is the second derivative of a + 1 + 2*g**3 + 3*g - 2 wrt g? 12*g Find the third derivative of 11*v + 8*v - 20*v**2 - 2*v**5 - 19*v wrt v. -120*v**2 Suppose 3*s = -2*s + 3*n - 15, -5*s - 15 = -2*n. Let r be (4 - 1)/(s/(-4)). What is the third derivative of -2*p**r + p**2 - 2*p - p**4 + 2*p wrt p? -72*p Suppose 5*u = -5*j + 35, -3*u + j + 18 = u. Differentiate -7*z**3 + 5*z**3 - z**3 - 7 + u*z**3 with respect to z. 6*z**2 Let n(f) be the second derivative of -f**6/30 - 5*f**3/2 - 23*f. Find the second derivative of n(j) wrt j. -12*j**2 Suppose -2*v = 4*p + 10, 5*p + 8 = -3*v - v. Let u(f) = -f**3 - 5*f**2 - 5*f - 1. Let d be u(p). Find the first derivative of 1 - 7*z - z**d + 7*z wrt z. -3*z**2 Let g be 6/10 + (-34)/(-10). Find the third derivative of 0*y**2 + g*y**4 - 9*y**4 - 2*y**2 wrt y. -120*y Let b = 8 + -6. What is the third derivative of -3*t**3 - 3*t**b + t**3 + 7*t**2 wrt t? -12 Let n(s) be the first derivative of 5*s**4/2 - s**3/3 - 7. What is the third derivative of n(x) wrt x? 60 Let f(b) = -6*b**4 - 6*b**3 + 3*b + 6. Let j(k) = -k**5 - 13*k**4 - 13*k**3 + 7*k + 13. Let o(x) = -13*f(x) + 6*j(x). Find the second derivative of o(s) wrt s. -120*s**3 Let f(p) be the third derivative of 0*p**3 - 1/30*p**5 + 0 + 1/6*p**4 + p**2 + 0*p. Find the second derivative of f(j) wrt j. -4 Let k(y) be the first derivative of -y**2 + 5*y - 5. What is the derivative of k(t) wrt t? -2 Let v(r) be the second derivative of 0*r**5 + 0 + r + 0*r**3 + 1/30*r**6 + 0*r**4 - 2*r**2. What is the derivative of v(i) wrt i? 4*i**3 Suppose -9 = 2*b - 3*b + 3*d, d = 4*b - 36. Suppose 0*f + f = 2*o - b, -21 = 2*o + 5*f. Differentiate o*n**2 + 17*n - 4 - 17*n with respect to n. 4*n What is the second derivative of -14*x - 2*x**3 + x**3 + 14*x**3 wrt x? 78*x Let p(n) = -3*n**4 + 2*n**2 + 3*n. Let o(q) = q**6 + q**4 - q**2 - q. Let r(b) = -6*o(b) - 2*p(b). What is the third derivative of r(d) wrt d? -720*d**3 Suppose 2*g + 6 - 30 = 0. Suppose -3 + g = 3*d. Find the third derivative of 2*c**2 - c**2 + 2*c**d - 5*c**3 + c**2 wrt c. -18 Let d be 6 - (6 + -4 + 2). What is the first derivative of -77*t**d + 2 + 77*t**2 - 11*t**3 wrt t? -33*t**2 Find the third derivative of 10*v**4 - 3*v**2 - 2*v**4 + 0*v**4 wrt v. 192*v Let l(z) be the third derivative of 13*z**9/168 + z**5/30 - z**4/12 - 50*z**2. What is the third derivative of l(n) wrt n? 4680*n**3 Let w(o) = 13*o**3 + 11*o**2 + 7*o - 11. Let p(j) = -7*j**3 - 6*j**2 - 4*j + 6. Let r(a) = 11*p(a) + 6*w(a). Find the second derivative of r(n) wrt n. 6*n Let t(y) be the second derivative of -11*y**7/42 - 5*y**4/6 - y**3/6 + 14*y. Find the third derivative of t(n) wrt n. -660*n**2 Let f(q) be the third derivative of 0 - 1/30*q**5 - 1/168*q**8 + 0*q**3 + 0*q**4 + 0*q**7 + 0*q**6 + 0*q - 3*q**2. Find the third derivative of f(t) wrt t. -120*t**2 Let z(v) be the second derivative of -v**6/20 - v**4/8 + v**2 - 5*v. Let r(m) be the first derivative of z(m). What is the second derivative of r(s) wrt s? -36*s Let j(p) = -4*p**4 + 2*p**3 + 9*p**2 - 2*p. Let z(l) = l**3 - l**2 - l. Let x(q) = -j(q) + 2*z(q). Find the third derivative of x(i) wrt i. 96*i Let a(r) = 5*r**2 -
{ "pile_set_name": "DM Mathematics" }
)/1852)? 21 What is 1625/(-650)*1*48/(-10)? 12 ((-147)/56*20/(-35))/((-3)/10) -5 (8/(-24)*(135/(-50))/3)/(-9) -1/30 Calculate ((-14)/(-14))/(5/(-45)). -9 What is ((-100)/(-300))/(1/78*2)? 13 What is the value of (-3)/(21/2541*33)? -11 Calculate (-7)/(((-14)/21)/((-204)/(-63))). 34 Calculate 161/92*-2*4/(-56)*-26. -13/2 (1/3*2)/(((-15566)/(-2193))/(-181)) -17 What is 9/15*(-9900)/594? -10 Calculate (-87)/(-87)*((-1)/(-1))/1. 1 What is (((-3)/(-35))/(6/(-8)))/((-16554)/(-13795))? -2/21 What is the value of (8/(-13))/(658/(-4277))? 4 What is -2*(-110)/(-125)*5*(-140)/(-112)? -11 What is the value of (-576)/(-144)*2/(-48)? -1/6 40/68*62/(-155) -4/17 What is the value of ((-4)/95)/(((-2254)/(-245))/23)? -2/19 Evaluate (1/(-3))/((222/108)/37). -6 Calculate (-16)/(-36)*2/(-8). -1/9 Calculate 21/(-1260)*-12*50/(-5). -2 What is (-1059)/(-3530)*(-4)/(-6)? 1/5 Evaluate -54*2/(-12)*-1. -9 What is (-456)/228*(-2)/41*2/8? 1/41 What is the value of (-950)/150*(-9)/(-3)? -19 Calculate ((-2)/6)/((-216)/(-3240)). -5 Calculate ((-3)/((-10)/10))/((-2)/(66/9)). -11 Calculate (((-42)/(-6))/(-35))/((256/(-16))/(-1520)). -19 Evaluate (-33054)/3935*(-10)/(-4). -21 What is the value of (-22)/22*(-12)/(-4)? -3 ((-10)/(-12))/(-19*180/(-1026)) 1/4 59/((-1888)/32)*-2*18 36 (2/(-21))/1*(-133)/304*4 1/6 What is (-3)/((-3)/(-5))*6*(-75)/90? 25 Calculate ((-4)/(-22))/(121/((-25289)/(-228))). 1/6 What is the value of (538/(-20713))/((-6)/(-22))? -2/21 (6/10*-18)/(72/(-120)) 18 What is the value of (-34)/((-544)/(-32))*((-14)/(-64))/(-7)? 1/16 What is 3*(-23)/(9660/28)? -1/5 Calculate 92235/(-3354)*2/5. -11 Evaluate 1*15*210/(-315). -10 Evaluate ((-1083)/(-2527))/(4/(-14)). -3/2 What is 12/(-10)*(-83655)/(-3861)? -26 What is the value of (-40)/(-30)*5*(-30)/(-4900)? 2/49 Calculate (1/7)/((-110)/(-385)). 1/2 Calculate ((-1)/(-63)*1)/(18/(-3564)*-66). 1/21 What is the value of ((-5)/30*2)/((16/120)/(-2))? 5 ((-3)/1)/12*644/(-483) 1/3 Calculate (-144)/(-360)*3/(-6). -1/5 What is (-1)/(-2)*-5*210/(-2100)? 1/4 Calculate ((-396)/495)/((-16)/(-100)). -5 What is (-1)/(((-135)/(-3375))/(1/(-5)))? 5 Evaluate (23/207)/((-1)/(-2)). 2/9 What is ((-1235)/(-76))/(275/(-660))? -39 Evaluate (-72)/108*(-7)/(-70). -1/15 (-117)/1092*-28*(-24)/(-2) 36 Evaluate (11/((-110)/15))/((-2)/16*-6). -2 What is (2*(-1)/4)/(((-460)/(-880))/23)? -22 Evaluate 3/11*(-12)/18. -2/11 Evaluate (-45)/30*(-21)/((-14)/(-2))*6. 27 -7*12/12*(45/10)/3 -21/2 ((-2)/((-36)/(-2)))/(2/(-3)) 1/6 What is the value of ((420/1000)/7)/((-63)/28)? -2/75 What is ((-608)/1368)/((40/6)/2)? -2/15 What is 11*(2*(-1)/5)/((-26)/65)? 11 Evaluate ((-8)/3)/2*(-90)/60. 2 What is the value of ((-75)/(-5900))/(15/40)? 2/59 57/(570/4)*(275/(-2))/(-5) 11 Calculate (-8)/(1008/(-18))*-8*1. -8/7 What is the value of 660/(-110)*4/252? -2/21 Calculate ((-3)/2)/(90/(-70)*1). 7/6 What is (-96)/(-176)*330/(-240)? -3/4 1*1170/(-52)*(-12)/(-15) -18 What is the value of ((-175)/(-225))/(56/(-96))? -4/3 Calculate (-70)/4*30/140. -15/4 Evaluate (3/(-4))/((-99)/(-22)). -1/6 Evaluate 28/(-63)*81/126. -2/7 (-40)/(-25)*(-100)/(-16) 10 Calculate ((-16)/(-8))/(-52)*(-11)/(55/(-20)). -2/13 What is (3/((-36)/21))/(6/(-24))? 7 Calculate ((1265/(-1430))/(1/2))/(16/(-208)). 23 ((-4)/12)/(28/546)*(-72)/117 4 ((-52)/130)/(((-3)/(-5))/((-57)/(-703))) -2/37 Evaluate 14*-6*6/42. -12 What is (-2)/(168/6)*22/11? -1/7 What is (120/70)/(9/15*25/70)? 8 What is 1/5*1*(-200)/940? -2/47 What is the value of ((-72)/(-16))/((-19)/(-76))? 18 Evaluate (9/(-72))/((-60)/96). 1/5 What is the value of 6/(((-2)/4)/(80/120))? -8 Calculate ((-36)/(-12))/(18/(-6)). -1 Evaluate (-12)/13*(-3302)/127. 24 Calculate 50/(-2850)*2/(96/(-18))*-8. -1/19 What is the value of -7*-1*1/(-2)*1053/(-4914)? 3/4 Calculate -24*(-4)/2*6/24. 12 What is ((-24)/(-243))/((-10)/(-3))*(-516)/344? -2/45 What is ((-2)/12)/(11/(264/(-3)))? 4/3 What is 3/(-8)*(1834/(-1179))/((-5)/(-6))? 7/10 (704/5808)/(4/6) 2/11 ((3887/78)/(-23))/(2/(-12)) 13 (((-672)/(-28))/(-48))/(4/(-216)) 27 What is (224/1344)/((-2)/18)*124/(-6)? 31 Calculate (((-114)/209)/1)/(6/(-44)). 4 What is the value of (3/(-1))/(3*(-130)/30)? 3/13 What is (32/(-480)*5)/(-2*2/36)? 3 Evaluate 18/(-24)*(18/54)/((-3)/(-2)). -1/6 222/1332*3/(-1) -1/2 What is the value of 2*(((-6)/(-7))/(-2))/((-2658)/96131)? 31 What is -2*171*25/450? -19 Evaluate 40/(-30)*(-115)/20. 23/3 What is the value of (55/10)/((-33)/66)? -11 Evaluate 8/(-168)*4*7/8. -1/6 What is the value of (-4)/(18/((-540)/(-105)))*1/(-20)? 2/35 What is 75/(-5)*(5/(-1))/(-15)? -5 Evaluate (55*5/(-75))/(1/3). -11 What is the value of ((36/27)/((-10)/(-15)))/(2/2)? 2 What is the value of ((-24)/(-432))/(5*1/6)? 1/15
{ "pile_set_name": "DM Mathematics" }
k Let f(x) = x**2 - 5*x - 16. Let u be f(8). Let w(l) = -l**2 + 8*l + 3. Let i be w(u). Suppose z = -i*z - 4. Is z less than 1/7? True Let s = -0.002 - -0.662. Let w = s + 0.04. Are -2 and w nonequal? True Let b be -156 + 3 + -3 + 3. Which is smaller: b or -145? b Let h be (-5 - (-64)/12)*(-72)/(-1324). Are 1 and h equal? False Suppose 0 = 11*w - 818 + 246. Let q be (-6)/(-8) - (-205)/4. Is w < q? False Let u = 14 - 25. Let x = 3.01 + -6.01. Is x at least u? True Suppose 3*c + 33 = -12. Let r = c - -17. Let t(j) = -2*j - 1. Let d be t(-1). Which is bigger: d or r? r Let u(m) = 4*m**3 + 3*m - 4. Let b(p) = -3*p**3 + p**2 - 3*p + 5. Let h(s) = -3*b(s) - 2*u(s). Let v be h(3). Which is greater: v or 1? v Suppose 0 = -d - 0*d - 3*d. Which is smaller: -2/273 or d? -2/273 Let q = 1237 - 1222. Is 7 at most as big as q? True Let s = 41 - 41.158. Which is greater: s or 3? 3 Suppose 2*y + 3*m - 6 = 31, -2*y - m + 39 = 0. Let v be (-5)/(y/(-16)) - 4. Let b = 18 + -13. Is b at least as big as v? True Let c be (-584)/368 - (-3)/2. Let z(v) = -v - 11. Let l be z(-12). Which is smaller: c or l? c Suppose -5*j + 12 = -0*g + 3*g, -4*j - 8 = -2*g. Which is smaller: j or 39? j Let u = -0.06 - 32.44. Let g = u + -1.5. Is 0.2 greater than g? True Let i = 6.7 - 11.7. Suppose -h + 5*y + 1 = 13, 4*h + 2 = -3*y. Let x be 2 + h + (1 - 2). Which is greater: i or x? x Let x = 20905/3 - 7070. Let h = x - -105. Is h < 3? False Suppose 2*v + v = 156. Let a = v - -2. Is a greater than 54? False Let u = 409 + -447. Which is smaller: u or -17? u Let f = -502 + 500. Is -15.4 <= f? True Let x be 2*(6/(-24))/(5/250). Which is smaller: 3/4 or x? x Let m(t) = -t**3 + 13*t**2 - 41*t + 15. Let r be m(9). Let f(h) be the third derivative of 7*h**4/12 - h**3/3 + 3*h**2. Let o be f(-2). Is r at most o? True Let f(d) be the first derivative of -2*d**3/3 - d**2 + 5*d + 14. Let w be f(-4). Which is smaller: -20 or w? -20 Let u be ((-4)/(-8))/((-1)/34). Let g = u - -2. Let x = g - -21. Do x and 6 have the same value? True Suppose 5*d - 49 = 2*s, -19 = -s - 4*d - 63. Let t be ((-92)/s - 4)/(6/(-8)). Which is smaller: 0.2 or t? 0.2 Let s = 2974785 + -3525119992/1185. Let i = -5/79 + s. Does i = 0? False Let n(a) = -4 + 4*a + 4 - 3 + 0. Let d be n(1). Let o be -6*(-1 + d/(-3)). Which is bigger: o or 9? 9 Let t be -2*2/(5 - 539). Is 1 less than or equal to t? False Let u be (-28)/4*-1 + (-89991)/12859. Is u at least as big as 0? True Let v be 12/10*(6 + -1 + -3). Which is greater: v or -8? v Let m = -284 + 301. Are 17 and m non-equal? False Let f = 5.565 - 4.48. Let n = -0.085 + f. Which is bigger: -2.1 or n? n Suppose -6*m - 470 = 664. Let d = m + 3583/19. Which is greater: -1 or d? d Let x be (-30)/25 - 4/(-10) - -1. Let a = x + -1/55. Suppose -4*z - f - 7 = 0, 5*f + 15 = -3*z + f. Which is smaller: z or a? z Let d = 74.6 + -75. Let h = 0.5 + d. Is h at least 3? False Let g = -3 + 3. Let z(y) = 3*y + 14. Suppose -16 = 3*j + o, -2*o + o = j + 6. Let u be z(j). Which is bigger: u or g? g Suppose 2 - 42 = -2*h. Suppose 17*y = 21*y - h. Suppose 7*u - 8 = 5*u. Is y bigger than u? True Let v(c) = -7*c + 20. Let o(n) = -5*n + 8. Let i(w) = -4*w + 7. Let y(m) = 6*i(m) - 4*o(m). Let p(l) = -3*v(l) + 5*y(l). Let t be p(0). Are -11 and t non-equal? True Suppose 0 = x - 3*u, -2*x - 3*u = 3*x + 18. Let m be x/((-9)/15) - 15/10. Suppose 3*h + 4*g - 35 = -0*g, -4*g = -5*h + 5. Is h > m? True Let y = 1559 - 1561. Let t = 2 - 3. Is y at most as big as t? True Suppose 0 = -n - 31 + 97. Let f be 153/n + (-1)/2. Suppose -24 = -10*a + 2*a. Which is smaller: a or f? f Let g be (-548)/(-36) - (2 + (-80)/45). Which is smaller: g or 14? 14 Let z = -23 - -17. Let y = 6.1 + z. Let m = y + -0.3. Which is greater: 2 or m? 2 Let v be (-10)/4*56/(-70). Suppose -4*j - p - 374 = p, -v*j - 196 = 4*p. Which is greater: j or -93? j Let g = -0.6 + 0.599. Let f = 0.899 - g. Is f not equal to 1/4? True Let x = 66 + -72. Let a(q) = -3*q**2 + 5*q - 3. Let d be a(3). Let j = d - -12. Which is smaller: j or x? x Let w(s) = s**3 - 2*s**2 + 2*s. Let b be w(2). Suppose b*p = -0*p + 8. Suppose p*t - 5*t = 0. Do t and -3/11 have different values? True Let r(w) = 11*w - 12. Let b be r(2). Suppose -b*z - 6*z = -32. Is z equal to 6/5? False Let f = -23410/459227 + 2/5813. Let g = f + 218/1185. Let c = g + 4/15. Which is smaller: -1 or c? -1 Let j = 16 + -14. Suppose -j*u + 3 = -u. Suppose o - 2 = -u
{ "pile_set_name": "DM Mathematics" }
give d. 105 Express 37 - 17 + 62*t - 19 as x*t + y and give x. 62 Express (5*c - 25*c + 10*c)*(2 + 0 - 1)*((-3 + 2 + 3)*(c + 0 + 0) + 4 - 4 + c) as q*c + h + z*c**2 and give z. -30 Rearrange (-2 + 2 + 2*b)*(8 - 5 - 330*b - 229*b - 118*b) to w + h*b + t*b**2 and give t. -1354 Rearrange -25*a**4 + 13 - 12 - 28*a**4 + 80*a**4 - 25*a**4 - 5*a to k*a**4 + d*a + x*a**2 + j*a**3 + u and give u. 1 Express (5 + 3 - 2)*(-4*m**2 + 2*m**2 - 5*m**2) + 16*m**2 - 13*m**2 + 23*m**2 in the form r*m + f + z*m**2 and give r. 0 Express -2*j**2 - 4*j**2 + 3*j**2 + 0*j + 2*j**2 + 0*j - 2*j**2 - j**2 + 7*j**2 + (-1 + 2 - 2)*(-j**2 + j**2 - 2*j**2) in the form a*j + o*j**2 + f and give f. 0 Express 3*h**2 + 14*h - 14*h + (0 - 2 + 0)*(-2*h**2 + 0 + h + 0) + (h - 7*h - 4*h)*(-2 - 2*h + 2) in the form r*h + n*h**2 + o and give r. -2 Rearrange (-1 - 1 + 1)*(0*n - 2*n + n) + (-1 + 1 - 2*n + (3 - 3 - 1)*(4*n + n - 2*n) - 9*n + 48 - 48)*(3 - 11 + 7) to the form r + m*n and give m. 15 Rearrange 170*x**3 - 2 - x + 168*x**3 - 21*x**2 - 493*x**3 + 162*x**3 to the form t + k*x**2 + v*x + l*x**3 and give v. -1 Rearrange -167 - 326*y - 1653*y + 337 - 170 to the form j*y + m and give j. -1979 Rearrange -2 + 4*q**3 + 839*q + 21*q**3 + q**2 - 840*q + 2*q + q**3 - 2*q + (-5*q + 3*q - 5*q)*(-q - q**2 + q) to the form s*q**2 + y + t*q + c*q**3 and give c. 33 Express -145*y**2 + 3*y**3 + 146*y**2 - y + 0*y**3 in the form v + g*y + d*y**2 + h*y**3 and give h. 3 Express 403*i + 754*i + 158*i in the form w + o*i and give o. 1315 Express 8*t**2 - 7*t**2 - 6 + t**3 + 7*t**4 + 4*t**2 - 10*t**2 + 6*t**2 as h*t + j*t**2 + o + p*t**4 + y*t**3 and give o. -6 Rearrange -24 - 21 - 2*t**2 + 57 - 3*t**3 + t**3 to r + k*t + o*t**3 + f*t**2 and give r. 12 Rearrange -2*h**2 - h - 39*h + h**3 + 48 - 48 to o*h**3 + r + y*h + j*h**2 and give o. 1 Rearrange -22*m + 14*m**2 - 55*m**2 + 21*m**2 + 21*m**2 + 9 to j + r*m + l*m**2 and give r. -22 Express (-2*n - 3*n + 3*n)*(3 - 5 - 1) - n + 2*n + 0*n - 4*n + 6*n + 9 - 1 as l + k*n and give l. 8 Express -x**2 - 4*x**3 + x**3 + x**3 - 5*x + 6 - 2 as n*x**3 + c*x + g*x**2 + s and give g. -1 Rearrange -134*z + 240*z + 242*z + 600*z + 94*z to o*z + s and give o. 1042 Rearrange 328*t**2 + 194*t**2 - 314*t**2 + 353*t**2 to the form k + i*t**2 + l*t and give i. 561 Rearrange 0*d + d**4 + d - 2 + 3*d**2 + 270*d**3 - 274*d**3 to s*d + i*d**4 + r + k*d**2 + b*d**3 and give k. 3 Rearrange 3*m - 79*m**2 + 4 + 33 + 77*m**2 to the form f*m + r + b*m**2 and give f. 3 Express 15*u**4 - 9*u**4 - 3*u**3 + 6*u**4 - 2 in the form y*u**2 + b + o*u + r*u**4 + g*u**3 and give r. 12 Rearrange 5*b**3 - 114*b**2 + 227*b**2 - 113*b**2 - 15 - 3*b**4 to the form c*b**4 + n*b**2 + g*b**3 + f*b + w and give g. 5 Rearrange -3*d**3 + 14*d**2 + 11*d**2 - 31*d**2 - 2 to the form c*d**2 + n*d + t*d**3 + y and give t. -3 Express (0 + 0 + 1)*(-3*k**4 + k**4 + 4*k**4) + 4*k**4 - 2*k**4 + 0*k**4 - 76*k**4 - 8*k**4 - 74*k**4 as m*k**2 + r + g*k + a*k**3 + h*k**4 and give h. -154 Express -30*m**2 + 4 + 10 - 356*m**2 - 2 - 11 in the form w*m + h + b*m**2 and give h. 1 Rearrange 67*o**2 - 5 + 31*o**3 - 110*o**2 - 28*o**3 to g*o + l*o**3 + p + t*o**2 and give p. -5 Express (4*d**2 + 3 - 3 + 4*d**2 - d**2 - d**2 + (4*d**2 - d**2 - 4*d**2)*(0 - 2 + 0))*(-5*d + 11*d + 2 + 2*d) in the form f + z*d + q*d**3 + u*d**2 and give u. 16 Rearrange -2 + 4*u**2 + 2 - 2 - u - 6 - 2*u**2 + 5*u**3 to j*u**3 + r*u + l + v*u**2 and give l. -8 Rearrange x**3 + 17*x - 10*x**2 - 2*x**4 + 15*x - 40*x + 10*x to the form d*x + n*x**4 + q*x**2 + f*x**3 + m and give f. 1 Express 5*v**4 - 2*v**4 + 2*v**4 + (1 + 4 - 3)*(7*v - 5 + 5)*(v**3 + v**3 + 0*v**3) in the form j + g*v**4 + q*v + h*v**3 + y*v**2 and give g. 33 Express -8*c**2 - 3*c**2 + 9*c + 3 + 16*c**2 in the form x + w*c**2 + v*c and give x. 3 Express (148 - 37 - 37)*((-3*h - 3*h + 5*h)*(-1 - 1 + 3) + 2 + 2*h - 2) + 4*h + 4*h - 7*h as j*h + x and give j. 75
{ "pile_set_name": "DM Mathematics" }
k)*(-7 + 11 - 23)*(3*k - k - 3*k)*(2 - 2 - 2) to the form y*k**3 + f*k**4 + i + z*k + n*k**2 and give f. 76 Express -23 + w**2 + 341 - 27 - 120 as g*w**2 + v + c*w and give v. 171 Express -6*j - 3*j + 7*j + (-8 + 2 - 9)*(-1 - 2*j + 1) as c*j + k and give c. 28 Rearrange (5 - 5 - 4*r - 3 - 2*r + 3 + (0*r + r + r)*(1 - 1 + 2))*(17 - 40 - 17) to p*r + s and give p. 80 Rearrange 91*t - 105*t + 4 - 2 + (-4 - 5*t + 4)*(-3 + 5 - 4 + (-4 + 2 - 1)*(1 + 2 - 5)) to m + d*t and give d. -34 Express 337*l + 412*l - 676*l as h + p*l and give p. 73 Rearrange -8*b**4 - 203*b - 2*b**3 - 384 + 209*b + 382 to s*b**2 + h + o*b**3 + w*b**4 + t*b and give s. 0 Express -301*c + 9311 - 9311 - 406*c in the form b*c + k and give b. -707 Rearrange -291*r + 144*r - 4*r**4 + r**3 + 190*r to the form q*r**3 + c*r**4 + o*r**2 + f*r + h and give f. 43 Express -84*o**2 + 93*o**2 + 143*o**2 + 97*o**2 + 18*o**2 in the form n*o**2 + y*o + s and give n. 267 Rearrange 111*w + 5 - w**4 - 3 - 109*w + w**3 - 4 to the form h*w + x*w**2 + m + l*w**3 + a*w**4 and give a. -1 Express (17*z**2 - 17*z**2 + 101*z**3)*(-2*z + 3 - 3 + (5*z - z - 5*z)*(3 - 2 + 1) + 2*z + z - z) as h*z**4 + i + w*z**3 + x*z**2 + v*z and give h. -202 Rearrange -89*d**4 + 180*d**4 - 3*d**2 - 16*d**3 - 90*d**4 to s*d**3 + x*d + f*d**4 + q*d**2 + t and give f. 1 Rearrange (3 - 8 + 2)*(-2 + 2 + 3)*(-14*l + 114 - 114) to the form p*l + o and give p. 126 Express -7*z + 1522 - 775 - 760 as m*z + d and give m. -7 Rearrange 23 - 21 + 5*p + 1 + 8*p**2 to b + f*p**2 + d*p and give f. 8 Rearrange (3 - 5 + 1)*(-2*l + 1 - 1)*(2 + 782*l**2 - 783*l**2 + 15) to the form i*l**3 + y + w*l + d*l**2 and give w. 34 Express (-i - 7*i - 3*i)*(-4 + 4 - 2*i**2 + (-2*i - 1 + 1)*(-4 + 4 + 2*i) - 29*i + 42*i**2 + 29*i) as l*i**3 + o*i**2 + x*i + a and give l. -396 Express (-3*n + n + n - 2*n**2 - 2*n**3)*(399*n + 234*n - 415*n) as z*n**2 + u*n**3 + o + r*n**4 + j*n and give r. -436 Rearrange 5*b**3 - 48 - 23*b**2 - 2*b**3 - 2*b + 24 + 22 to the form h*b + u*b**2 + q + k*b**3 and give h. -2 Rearrange 5 - 10*b**2 + 31643*b**4 + 2*b**3 - 31645*b**4 + 6 to r + y*b**3 + v*b**4 + j*b**2 + d*b and give r. 11 Express -2 - h**2 + 2 + (2*h + 130*h + 36*h)*(-3*h - h + 2*h) in the form l*h + y*h**2 + i and give y. -337 Rearrange (8*n + 21 - 21)*((-5 + 1 + 2)*(1 - 3 - 2) - 3 - 1 + 7) to the form h*n + s and give h. 88 Rearrange -2 - 139*w**2 - 2*w - 140*w**2 + 281*w**2 to v*w + z*w**2 + g and give v. -2 Rearrange 0*d**2 + 24 + 7 + 15 - 3*d**2 to w + g*d**2 + k*d and give g. -3 Express (-884*w**2 + 514*w**2 + 458*w**2)*(-1 + 10*w - 2 + 1) in the form u + n*w + d*w**3 + o*w**2 and give o. -176 Rearrange 38*u**3 - 230*u**3 + 4*u**2 - u**2 - 3*u**2 + 2 to the form f*u + z*u**2 + o*u**3 + c and give f. 0 Rearrange 93*d + 10955 - 10955 to w + g*d and give g. 93 Express 1039*d**2 + 672 - 672 as m*d**2 + f + a*d and give m. 1039 Rearrange (750 - 750 + 161*t)*((-5*t + 5*t + 2*t)*(1 - 2*t - 1) - 2 - 2*t**2 + 2) to y*t**3 + i*t + c + d*t**2 and give y. -966 Express 12661*a**2 + 2*a**3 - 12664*a**2 - a**3 - 3*a**3 + 25 as f*a + b + v*a**2 + q*a**3 and give v. -3 Rearrange 352*x + 2*x**2 - 3*x**3 - 359*x + x**3 to the form b + s*x**3 + z*x + g*x**2 and give z. -7 Rearrange (-10*k + 8 + 18*k - 13*k)*(-4*k**2 + 15*k**2 - 8*k**2) to m*k**2 + c*k**3 + a*k + g and give c. -15 Express -3*y + y + y + 2*y + 2*y - 2*y - 1 + 2*y + 1 + (-1 - 2 + 1)*(y + 4 - 4) - 2*y + y + 0*y - 3*y + 2*y + 5*y in the form l*y + x and give l. 4 Express (-604 + 604 + 34*i)*(37 - 26 - 16) as k + l*i and give l. -170 Rearrange -1 + 401*i**2 + 384*i**2 + 2*i**3 - 715*i**2 to the form p*i**2 + j*i**3 + x*i + z and give z. -1 Rearrange 3*j + j**2 + 11*j - 3*j**2 + 55*j to the form w + o*j + n*j**2 and give o. 69 Rearrange -4044*y**2 - 5 - 4*y**3 - 13*y**4 - 4045*y**2 + 8090*y**2 to the form u + s*y**2 + f*y + z*y**3 + r*y**4 and give r. -13 Express (2*b - b - b + 11*b)*(3 + 4 - 2)*(-7 + 0 + 5) as c*b + h and give c. -110 Rearrange -585 + p + 94*p**3 + 585 + 264*p**3 to the form k*p + h*p**3 + j + q*p**2 and give k. 1 Rearrange 152
{ "pile_set_name": "DM Mathematics" }
t value? (a) 4 (b) 0 (c) -16143 (d) -1.3 d What is the biggest value in -167, -3, -24.8? -3 What is the third smallest value in -3, 1883313, -5? 1883313 What is the third biggest value in 94, -3, 0.49, 3, 2/9? 0.49 What is the second smallest value in 4306.2, 3/2, -3/2? 3/2 Which is the smallest value? (a) -0.1854 (b) 6 (c) -4 (d) -3 c Which is the biggest value? (a) 8 (b) -2/7 (c) 127 c Which is the second smallest value? (a) -2 (b) 11.05 (c) -1 (d) 0.3 c What is the fourth biggest value in -91, -13, 14, 0, -1/7? -13 Which is the fourth biggest value? (a) -1.3 (b) 4 (c) -60 (d) 0.4 c Which is the fifth biggest value? (a) 7/52 (b) 0.1 (c) -1/4 (d) -2 (e) 31 d Which is the fifth smallest value? (a) -2 (b) -2/15 (c) 0.02 (d) 2 (e) -8 (f) -15/11 c Which is the smallest value? (a) 23/63 (b) 5 (c) 3/8 a What is the fourth smallest value in -2/27, 1/23, -5, 6.06, -1/2? 1/23 What is the third biggest value in 1/4, -10, 7, 10, -3? 1/4 What is the biggest value in 14, -2, 14/29? 14 What is the biggest value in -4/9, -2/395, 0.19? 0.19 What is the third smallest value in 1, 5, 13.79, -23, -2/5? 1 Which is the third smallest value? (a) -5 (b) 2.8 (c) -6 (d) 1 d What is the biggest value in -0.5, -0.3, 2/7, 10, -2/19, 1/21? 10 Which is the third smallest value? (a) 18.738 (b) 5 (c) 0.4 a Which is the second smallest value? (a) 3/4 (b) 5 (c) -0.3 (d) -49/12 (e) 4 (f) 0 c What is the fourth biggest value in -0.1, 0.3, -1/8, -2, 65? -1/8 Which is the third smallest value? (a) -0.7 (b) 5 (c) 12 (d) 0.64 (e) -5 d What is the third biggest value in -1/3, -3, 24, 0.5, 37, 13? 13 What is the biggest value in -5/2, 1, -4, -68, 3, 0.1? 3 Which is the third smallest value? (a) 31927 (b) -3 (c) -0.2 a Which is the fifth biggest value? (a) -22 (b) -5 (c) -0.5 (d) -0.04 (e) 0.4 a Which is the fifth biggest value? (a) -41 (b) 0.2 (c) -6 (d) -0.2 (e) -50.2 e What is the smallest value in 2/3, 0.01, 92? 0.01 Which is the second smallest value? (a) -0.3 (b) -1 (c) 1 (d) 88 (e) 2/3 a Which is the biggest value? (a) -2/3 (b) -0.5 (c) 0.0574 (d) -1 (e) -1/4 (f) -0.3 c Which is the fifth biggest value? (a) 0 (b) -29/4 (c) 1.468 (d) 1/2 (e) 4 b What is the biggest value in 17, 9/20, 2/9, 1, -0.3? 17 Which is the second smallest value? (a) 13 (b) -0.3 (c) 191 (d) 5 (e) 3 (f) -0.5 b What is the third biggest value in 28, 4, -7, -5, 0.1? 0.1 What is the biggest value in 1/6, 3.8, 71? 71 Which is the second biggest value? (a) 34/3 (b) -212 (c) 20 a Which is the fourth biggest value? (a) -1/2 (b) -13 (c) -11/5 (d) -2/7 (e) 0.1 (f) 1/3 a What is the biggest value in 4, -0.2, -95884? 4 Which is the fourth biggest value? (a) 0.61 (b) 16/7 (c) -3 (d) 3 (e) -2/7 (f) -4 e What is the third biggest value in -0.8, -28, -3/2, -6.87? -6.87 What is the biggest value in -4/3, -6/11, 4, 3/5, 3346? 3346 What is the second biggest value in -3, 0.2, -121.35? -3 Which is the second smallest value? (a) 1/7 (b) -4488 (c) -61 c What is the second biggest value in -0.13, -2, 68, -4, 2? 2 Which is the second smallest value? (a) -0.01849 (b) -0.07 (c) -1 b What is the second smallest value in -2/17, -11/3, 13? -2/17 What is the fifth biggest value in -0.2, 32, -2/9, -3/4, 20? -3/4 What is the second biggest value in 2/7, 2, 3, 318, 1, -0.04? 3 Which is the smallest value? (a) 5 (b) -105 (c) 4 (d) 0.21 b Which is the second smallest value? (a) 0 (b) 5 (c) 21080 b Which is the sixth biggest value? (a) 2 (b) 0.04 (c) -2/7 (d) -2 (e) -1 (f) 6/13 d Which is the fourth smallest value? (a) -3 (b) 3 (c) 2 (d) -4 (e) -2/5 (f) 187 c What is the third smallest value in -3/14, -144, 4, -0.14? -0.14 What is the third smallest value in -5177/4, -6/11, 5? 5 Which is the second biggest value? (a) 168/139 (b) 2 (c) 2/21 a Which is the biggest value? (a) -0.4 (b) 1/6 (c) 0.08 (d) 0.53 (e) 2 (f) 2/3 e What is the second biggest value in 4, -1, -0.3, -162.7? -0.3 Which is the biggest value? (a) -1 (b) -99 (c) 0.2 (d) -0.09 (e) 4 e What is the fourth biggest value in 127, 0, -1, 2/3? -1 Which is the third smallest value? (a) 0.4 (b) 2/21 (c) 9 (d) 20 (e) 18 (f) 12 c Which is the fourth smallest value? (a) 88 (b) 2
{ "pile_set_name": "DM Mathematics" }
. 4 Suppose 2*n + 100 = 7*n. Let q(z) = -z**3 - 7*z**2 + 7*z - 8. Let y be q(-8). Suppose y = -7*h + 2*h + n. What is the smallest common multiple of h and 16? 16 Let g = 27 - 19. Suppose 0 + 36 = 3*o. What is the least common multiple of g and o? 24 Suppose -2*d = 3 - 15. Calculate the lowest common multiple of 10 and d. 30 Let f = -8890/9 - -986. Calculate the common denominator of f and (4 + 22)*(-1)/12 - 0. 18 What is the least common multiple of 1 and 2/4 + (-11)/(-2)? 6 Let l(q) = -41*q + 1. Let v be l(1). What is the common denominator of 468/v + (-2)/5 and 101/22? 110 Let g(f) = f - 1. Suppose -24*y + 16 = -23*y. What is the lowest common multiple of g(5) and y? 16 Let d(c) = -c**2 - 7*c - 6. Let h be d(-7). What is the common denominator of (-4)/h*(-57)/(-8) and -2 + 3/30 - -2? 20 Suppose 0*w - 5*w = -50. Let c = 30 - w. Calculate the lowest common multiple of 10 and c. 20 Suppose -4*l = -2*x + 56, 5*x - l - 63 = 41. Let s(c) = -4*c - 6. Calculate the lowest common multiple of x and s(-5). 140 Let p = 118 - 106. What is the smallest common multiple of 2 and p? 12 Suppose 2*t + o + 0*o = 1, 5*o - 5 = 2*t. Suppose 0 = -t*f - 5*f + 185. Find the common denominator of -71/4 and (2/(-16))/(2/f). 16 Let x = 97223/4496 - 35391301/2657136. Let m = x - -22/197. Let v = -111 - -1501/14. Calculate the common denominator of v and m. 84 Let x be ((-2)/54)/((-8)/(-1074)). Let c = 19/18 + x. Calculate the common denominator of 51/20 and c. 60 Let z = -73 + 109. Calculate the smallest common multiple of z and 16. 144 Let n = 3 + -2. Suppose 10*b - 7*b - 12 = 0. Suppose 2*j + 2*u - 18 = u, b*u - 16 = 0. Calculate the least common multiple of j and n. 7 Let r = 387 + -1565/4. What is the common denominator of (-1 - 1466/(-84)) + (-14)/49 and r? 12 Suppose 6*a + 50 = 11*a. What is the least common multiple of a and 9? 90 Let j = 34 + -18. Suppose 0 = 4*y - 5*p - 58, -3*y + 4*p - 52 = -8*y. What is the smallest common multiple of j and y? 48 Let i(o) = o**2 - 2. Let g be -23 + (0 - (-3 + 2)). Let y be 6/33 + (-40)/g. What is the lowest common multiple of i(y) and 6? 6 Calculate the common denominator of 131/30 and (-2320)/(-32)*(-3)/(-50). 60 Let u(q) = q**2 + 11*q - 1. Let o be u(-11). Let r be 3/o - (0 + -7). What is the common denominator of r/(-10) + (-21)/(-4) and 51/14? 140 Find the common denominator of 87/26 and 5/(-18)*1 - (-3 + 0). 234 Suppose 3*q - 5*j = 41, -q + 5 + 8 = -j. Calculate the smallest common multiple of (-2)/(-6) - 385/(-33) and q. 12 Let f = -1289 - -10371/8. Find the common denominator of f and -35/16. 16 Suppose -6 = -5*q + 4*t + 41, -3*t - 44 = -5*q. Calculate the smallest common multiple of 2 and q. 14 Let h(m) = 2*m**2 + 2*m. Let g be h(3). Let v = 13 + -9. Calculate the smallest common multiple of v and (-7)/(-35) - g/(-5). 20 Let l be 0/(-2)*(-3)/(-6). Suppose -k = 5*d - 16, 3*d - 4 - 5 = l. Let g(h) = 5*h**3 - 2*h**2 + 2*h - 1. Calculate the lowest common multiple of g(k) and 7. 28 Calculate the common denominator of ((-30)/(-120))/((-1)/(-162)) and -143/6. 6 Let k be ((-155)/24380)/(4395/(-23208154)). Let r = k + 21/77645. Let h = 500/23 - r. Calculate the common denominator of 125/6 and h. 6 Let x = 2594 + -15515/6. Find the common denominator of x and -43/7. 42 Let x(h) = 22*h**3 + 5*h**2 + 7*h - 6. Let o(d) = 23*d**3 + 6*d**2 + 8*d - 7. Let k(c) = -5*o(c) + 6*x(c). What is the smallest common multiple of k(1) and 22? 198 Suppose 30 = q + 2*q. What is the least common multiple of 2 and q? 10 Suppose -2*t + 5*d = -41, -t + 47 = 3*t - 3*d. Let p be (-245)/4 + 2/t. Calculate the common denominator of 83/12 and 3/12 - p/(-28). 84 Let i be (4 - 1) + (-24)/8. Let v be (0 + i/3)/2. Suppose v = 5*a + 3*b - 116, -a + 8*b = 4*b - 14. What is the lowest common multiple of 16 and a? 176 Let q(c) = -c + 9. Let k be q(7). Let g be -2 - (-1 + k + 8). Calculate the smallest common multiple of 2/g + 272/44 and 2. 6 Let l be ((-36)/15)/((-2)/(-20)). Calculate the common denominator of 3/(-9) - (-20)/l and 4/6 + (-59)/(-18). 18 Suppose -6*v + 109 = -11. What is the smallest common multiple of v and 35? 140 Suppose b + 1 = 0, 3*i + 0*b - b = 49. Suppose 5*f + 8 + 12 = 0, 2*j - 44 = 5*f. Calculate the smallest common multiple of i and j. 48 Suppose 2*a = 3*a - 5. Suppose 4*y = -q - 35, -2*y - a*q = -4 - 1. Let s = -4/17 - 99/85. What is the common denominator of s and y? 5 Let i = 117 - 110. What is the lowest common multiple of 5 and i? 35 Let j(k) = -k + 7. Suppose 4*c - 5*c = -10. What is the smallest common multiple of j(0) and c? 70 Suppose 0*y - 2*y + 180 = -3*o, 0 = 4*y + 5*o - 360. What is the least common multiple of -1*5*y/(-75) and 12? 12 Let u be (-36)/(-14) + 27/63. Find the common denominator of 47/6 and (60/88 - 3) + u. 66 Let a = -22623/8 + 2840. Calculate the common denominator of a and 41/3. 24 Suppose -47 = -4*i - 3*u + 2*u, 0 = -2*i - 2*u + 22. What is the lowest common multiple of i and ((-28)/(-10))/((-2)/(-10))? 84 Find the common denominator of (-6)/(-4)*21/10 and 3 - (-206)/(-8) - 1. 20 Suppose g - j + 50 = 4*g, -2*j + 84 = 5*g. Suppose -3 = -5*i + 7. Suppose 3*d - 7*d + 65 = 5*z, 0 = d + i*z - 20. What is the least common multiple of d and g? 80 Let d = -201737/24 + 8403. Find the common denominator of 35/16
{ "pile_set_name": "DM Mathematics" }
i = -7. What is y(a)? 15 Let o(g) = g. Let y(u) = u**2 - 6*u. Let r be y(7). Suppose 0 = -2*l + 1 + 3. Suppose 5*f - l = -r. Give o(f). -1 Let q(y) be the second derivative of -y**5/20 + y**4/4 + y**3/6 - 2*y**2 + 17*y. Calculate q(3). -1 Let r(q) = -3*q**2 - 26*q - 23. Let d(z) = -z**2 - 9*z - 8. Let a(v) = -11*d(v) + 4*r(v). Determine a(-3). 2 Let y(d) = -7*d**3 - 6*d**2 - 4*d + 7. Let o(g) = -3*g - 6 + 8*g**2 + 6*g - 3*g**2 + 2*g**3 + 4*g**3. Let q(l) = -6*o(l) - 5*y(l). Determine q(2). -3 Let p(v) = v - 4. Let o(n) = 2*n - 9. Let l(t) = 2*o(t) - 5*p(t). Calculate l(-5). 7 Suppose 11 = -5*a + 61. Let p = a - 3. Let y(q) = 0*q - p*q**3 + q - 3*q**3. Determine y(1). -9 Let o(n) = n**2 + 1. Let g(w) be the first derivative of -w**3/3 + w**2 + 2*w - 38. Let z = 2 + -1. Let i(f) = z*o(f) - g(f). Determine i(2). 3 Let z(p) = 5*p**2 - 6*p - 4. Let d(g) = 4*g**2 - 6*g - 4. Let f(q) = 6*d(q) - 5*z(q). Let s be f(-5). Let i(y) = -7*y**3 - y. Determine i(s). -8 Suppose 0 = 5*j - 3*c + 39, -2*j - 6*c - 6 = -4*c. Let o(a) = a**2 + 5*a - 4. Let x be o(j). Let y(w) = 4*w - 3*w**x - 2 + 2 - w**3 + 1. Determine y(-4). 1 Let b be (2 + 0)/((-2)/(-3)). Let h(x) = -x + 3*x**3 + 3*x - 3*x**2 - x**3 - b*x**3. What is h(-4)? 8 Suppose 0 = 5*y - 11 + 26. Let l(v) = -2*v + 1. Let o(w) = 6*w - 4. Let m(h) = 10*l(h) + 3*o(h). Determine m(y). 4 Let z be 1/1*(-2 + 2). Suppose -4*k + 6*k + 2 = z. Let v(p) = p**2 + p + 1. Let d(u) = -9*u**2 - 4*u - 4. Let c(l) = d(l) + 3*v(l). Determine c(k). -6 Let j = 66 - 37. Suppose 9 = -5*n + j. Let y(b) = 1 + 3*b + b + 2*b - n*b. Calculate y(-2). -3 Let h(c) = c**2 - 5*c - 5. Let w(l) = -l**2 + 5*l + 4. Suppose 0 = 5*f - 0*f - 25. Let d(p) = f*w(p) + 4*h(p). Calculate d(4). 4 Let i(y) be the third derivative of y**5/60 + y**4/24 + y**3/6 + 3*y**2. Calculate i(-1). 1 Let o(j) = 2*j**2 - 8*j - 6. Let z be o(5). Let c(n) = n**3 - 4*n**2 - n - 4. Let q be c(z). Let r(g) = -g**3 - 9*g**2 - 9*g - 11. Calculate r(q). -3 Let h(t) = -7*t - 4. Let k(f) = -4*f - 2. Let d(g) = 3*h(g) - 5*k(g). What is d(5)? -7 Let k(p) = -5*p**2 - 2*p**2 + 6*p**2 + 4 - 2*p. Give k(-4). -4 Let q(w) be the first derivative of -1/6*w**3 + 4 + 1/12*w**4 + 1/20*w**5 + 0*w**2 - w. Let b(k) be the first derivative of q(k). Calculate b(2). 10 Let v(a) = -7*a**2 - a + 9. Let t(g) be the first derivative of -10*g**3/3 - g**2/2 + 13*g - 2. Let i(z) = 5*t(z) - 7*v(z). Give i(-2). -6 Suppose -2*c = c. Let t = -5 + 7. Let d(y) = 2*y - 4 - 2*y + y**t. Determine d(c). -4 Let h(f) = -f**2 - 5*f**2 + 5*f**2 - 9 + f. Let x(t) = 0*t**3 + 13*t - t**3 + 21*t**2 + 0 - 12 - 10*t**2. Let z be x(12). Give h(z). -9 Suppose 0 = k + 2*k + 9. Let j(h) = h**2 + h + 3. Let t(u) = -142*u + 142*u - u**2 - 4. Let o(m) = k*j(m) - 2*t(m). Determine o(-1). 1 Let i(m) = 3 - 2*m - m + 2*m. Let z(l) = -l - 4. Let s be z(-6). Suppose -5*o + s*q = 0, 0 = 5*o + 2*q - 0*q. Determine i(o). 3 Let y(k) = -k + 5. Let g be y(9). Let j be 6*2*(-1)/g. Let d(s) = 0*s**3 + s**j + 0 + s**2 + s**3 - 1. Determine d(1). 2 Let v(z) = -2*z + 1. Suppose -7*t = -2*t + 10. What is v(t)? 5 Let l(y) be the third derivative of -y**4/24 + y**3/3 - y**2. Let u = 117 - 114. Determine l(u). -1 Let h(j) = -j - 4. Let g be h(-3). Let r(a) = 9*a**3 + a**2 - a - 1. Determine r(g). -8 Let o(a) = a**3 + 7*a**2 + 5. Let g be o(-7). Let u = -5 + 7. Let b(f) = -12*f + 7 - f**2 + 2*f**u + 4*f. What is b(g)? -8 Let z(b) = b**3 - 4*b**2 + 3*b + 3. Let t = 28 - 19. Suppose -3*f = -0 - t. What is z(f)? 3 Suppose -w = -4*m - 8, -3*w - 2*m + 3*m + 2 = 0. Let u(q) = q**3 - 18. Give u(w). -18 Suppose 3*s - c = -23, 0 = 3*s + 2*c - 5*c + 21. Let i = -9 - s. Let t be (-2 - (i + 2)) + 1. Let l(a) = 2*a**2 + 2*a - 2. Calculate l(t). 2 Let j(s) be the third derivative of s**4/24 - 2*s**2. Suppose 4*h - o + 17 = 0, -3*h
{ "pile_set_name": "DM Mathematics" }
-5 Express (-3 + 6 + 0)*(-4*n + 3*n + 2*n) + 3*n + 5 - 1 - 5*n in the form u + p*n and give u. 4 Rearrange -2 - 4*u**2 + u - 2*u**3 + 6*u**2 - 2*u**2 to z*u**3 + t*u + g + b*u**2 and give z. -2 Rearrange (2 - 2 - 2*x**3)*(1 - 7 + 5) to y*x + l*x**2 + t + h*x**3 and give h. 2 Express -10*k - 366 + 366 as b*k + d and give b. -10 Rearrange 10*p**2 + p**2 - 3*p**2 to h + r*p + g*p**2 and give r. 0 Express i - 41*i**4 - 39*i**4 + 3 + 83*i**4 + 2*i**3 in the form k*i**3 + c*i**2 + w + s*i**4 + o*i and give w. 3 Express (-10*v + 10*v - 5*v**3)*(-3 + 3 - 4) + v**3 + 0*v**3 + 0*v**3 in the form b + u*v**3 + n*v + q*v**2 and give u. 21 Express 10*y**2 - y - 2*y**2 + 0*y - 2*y**2 + 0*y + 0*y + (-3*y + 3*y + y**2)*(-6 + 2 + 1) as m*y + b*y**2 + s and give b. 3 Express (-136 - 125 - 29 + 7)*(0*v**2 + 0*v**2 + v**4) as m*v + h + l*v**3 + w*v**4 + u*v**2 and give w. -283 Rearrange o**3 + 2*o**4 - 5*o**2 - 10*o**2 - 5*o**2 to the form k*o**2 + t + w*o**4 + q*o + m*o**3 and give m. 1 Express (3*w - 3*w + w)*(-1 - 4 - 10*w + 9*w) in the form v + n*w + l*w**2 and give v. 0 Express 105*m**2 - 121*m**2 + 0*m**3 + 0*m**3 + m + 1 - 2*m**4 in the form h*m**4 + x*m**3 + w*m**2 + d*m + r and give d. 1 Rearrange -12*f + 52*f + 87*f + 25*f to a*f + z and give z. 0 Rearrange 7 + 12 + 6*z**2 - 3*z - 19 to the form y*z**2 + s + a*z and give a. -3 Rearrange 5*t**2 - t**4 - 2 - 2*t**3 + 2 - 2*t**2 to r*t**2 + z*t**3 + g + v*t**4 + y*t and give v. -1 Express (-w + w - w**2)*(-10 + 6 - 2*w**2 - 12 + (1 + 2 + 2)*(-w**2 - 2*w + 2*w)) as u + c*w**4 + p*w + i*w**3 + v*w**2 and give u. 0 Express (5*g + g - 4*g)*(5 - 3 - 3) + (g - 2 + 2)*(1 - 4 + 1) - g - 2*g + 2*g - 26*g - 16*g - 2*g as v + m*g and give m. -49 Express 2*i + 3 + 1 - 2 + (1 + 2 - 2)*(-2*i + i - 2*i) in the form u*i + n and give u. -1 Express (2*r - 4*r + 4*r)*(-1 - 1 + 1)*(-26*r**3 - 38*r**3 + 43*r**3) as o*r**2 + j + f*r**3 + m*r + n*r**4 and give n. 42 Rearrange 14*t - 5*t + 23*t to y*t + a and give y. 32 Rearrange 8*j**4 - 1 + 2*j**2 - 7*j**4 + 4*j - 2*j - 4*j to the form i*j**3 + w + a*j**2 + t*j**4 + k*j and give w. -1 Express -11*g - 14*g + 15*g - 1 in the form o*g + v and give o. -10 Rearrange q**2 + 3*q**3 - 4*q**2 - 8*q**3 + 2*q**2 to the form n*q**2 + i + g*q + u*q**3 and give n. -1 Rearrange -k**3 + 11 + 0*k**3 + k - 9 to the form z + t*k**2 + p*k**3 + s*k and give p. -1 Rearrange -6*d**2 + 2*d**2 + 6*d**2 + d + 0*d to the form b*d**2 + j*d + c and give b. 2 Express ((-4*z + 2*z + 0*z)*(-2 + 4 - 1) - 3*z + 3*z + 3*z)*(-3 - 2 + 2)*(-z + 3*z + 0*z) as d*z**2 + p + n*z and give d. -6 Express -65*t + 42*t + 39*t as v*t + x and give v. 16 Express (-y + 4*y - 4*y - y - 4 + 4 + (5 + 1 - 5)*(0*y + y - 3*y) + 4 - 4 - 3*y + (5 - 5 + 2)*(-2 + 2 - 2*y))*(-1 - 3 + 0)*(-1 + 5 + 3) as q + h*y and give h. 308 Express 6*w**2 - w**2 - 9*w + 8*w + 4*w in the form j*w**2 + l*w + i and give j. 5 Express -10*x**2 + 58*x**3 - 20*x**2 - 60*x**3 in the form g*x + n*x**2 + d*x**3 + a and give d. -2 Express -w**3 + 2*w**3 - 2*w**3 + 3*w + 1 - w**3 as j*w**2 + h*w**3 + i + f*w and give i. 1 Rearrange -219 - 6*i**2 + 219 to o + c*i + k*i**2 and give k. -6 Express (-23 + 10 + 12)*(-3*s**4 - 2*s**4 + 7*s**4) as r*s**2 + i*s + w + h*s**4 + t*s**3 and give h. -2 Express -3*l**3 - 5 - l + 6*l**3 - 5*l**3 - 6 - 2*l**4 + l**2 in the form y + t*l**3 + f*l + s*l**4 + i*l**2 and give t. -2 Express (5*i - 2*i - i)*(2 - 1 - 4)*(1 - 1 - 4)*(2 - 2 - 1) in the form f*i + j and give f. -24 Rearrange (3 - 2 + 0)*(8 + 3*v**2 + 5294*v - 5294*v) to the form w + j*v + t*v**2 and give w. 8 Rearrange (-49 - 61 - 45)*(0*a**4 - 2*a**4 + a**4) to the form u*a**3 + r*a**2 + o + n*a + s*a**4 and give u. 0 Express (-f + 3*f + 374 - 278)*(0 + 0 - 2) as x*f + y and give x. -4 Express ((3*j**2 - 2*j**2 + 0*j**2)*(-1 - j**2 + 1) - 6*j**4 + 2*j**4 + j**4)*(2 + 4 - 3) as r*j + c + t*j**2 + q*j**3 + u*j**4 and give u. -12 Express 417 + 7*t**4 - 415 + 0*t**
{ "pile_set_name": "DM Mathematics" }
125 - 12016 = -18983 for n. 66 Solve -1484 + 624 = -215*l for l. 4 Solve 5621257*l - 5621188*l = 2622 for l. 38 Solve -1271*b - 12115 - 75583 = 47028 for b. -106 Solve -1396*u - 23247 = -7891 for u. -11 Solve 40946 + 52800 + 9680 = 695*v + 5431 for v. 141 Solve 3502*b - 2994*b - 4572 = 0 for b. 9 Solve 2267*k + 15354 + 19424 = -3761 for k. -17 Solve -135*l - 20655 = 265*l - 1165*l for l. 27 Solve -622*t - 987*t - 81667 = 69579 for t. -94 Solve -16027*w = -17695*w + 13344 for w. 8 Solve -70752 = 618*c - 356*c + 542*c for c. -88 Solve -724*g = 86*g + 188 + 3052 for g. -4 Solve 619*n + 105*n - 6631 = 36656 + 9565 for n. 73 Solve 246483 = -5192*z + 115496 - 113037 for z. -47 Solve 33*l - 1786 + 234 - 1253 = 0 for l. 85 Solve 2608 - 1450 - 1314 = 26*f for f. -6 Solve -99*p - 3743 + 1606 = -320*p + 8913 for p. 50 Solve 1670 + 4072 = -217*k - 266*k + 164*k for k. -18 Solve -7357*y = 368167 + 80610 for y. -61 Solve 17131*a - 17023*a + 4968 = 0 for a. -46 Solve -2262 = -48*x - 1166 + 1928 for x. 63 Solve 2448*s - 2282*s + 331 + 14775 = 0 for s. -91 Solve 14540 + 6507 = 4811*l - 7819 for l. 6 Solve 483*m - 3000 = -207*m - 212*m + 1510 for m. 5 Solve 3*y - 8*y + 926 = 1026 for y. -20 Solve 140*a + 1412 + 707 + 300 = -1081 for a. -25 Solve 0 = -3201*h - 387*h - 340860 for h. -95 Solve 63*u - 1167 - 1457 = 37*u - 15*u for u. 64 Solve -85*t + 827*t = -407*t + 77*t - 79328 for t. -74 Solve -157637 + 64773 = -1451*q for q. 64 Solve -6704*a = 16596*a - 1304800 for a. 56 Solve -562 = -473*z + 113 + 352 + 865 for z. 4 Solve 4295 + 44177 + 39868 - 15124 = 1408*m for m. 52 Solve 1171*h + 494 = 2356*h - 1166*h for h. 26 Solve -1855*n - 71911 + 5620 - 43737 = -24698 for n. -46 Solve -1086837 = -298*k - 1104419 for k. -59 Solve 24150 = -101*f - 186*f - 58*f for f. -70 Solve -199*n = 5016 + 3065 + 277 for n. -42 Solve -630*f + 352*f = -851*f - 1299*f - 213408 for f. -114 Solve -32*x = -606222 + 605230 for x. 31 Solve -239*a - 3647 = 242*a - 32*a + 72*a for a. -7 Solve -101539*r = -106946*r - 281164 for r. -52 Solve 21737*y + 963*y - 2068263 = 4067*y for y. 111 Solve 594*w - 103*w + 221 = 1694 for w. 3 Solve -986*u - 156*u = 1752*u + 506*u + 71400 for u. -21 Solve -894*f - 14101 = -48967 for f. 39 Solve 444*t - 9474*t - 1495038 = 2127*t for t. -134 Solve -23*h + 336*h + 42135 = -120 for h. -135 Solve 169*p + 5492476 - 5482167 = 0 for p. -61 Solve 0 = 573*u + 197*u + 467*u + 328*u + 37560 for u. -24 Solve -752*g + 9641390 - 9727870 = 0 for g. -115 Solve 251*a - 602 - 1279 = 127 for a. 8 Solve -122183*c = -122542*c + 12924 for c. 36 Solve -3047*t - 1999*t - 235132 = 82766 for t. -63 Solve 589*t + 1497 - 21523 = 0 for t. 34 Solve 312 - 512 = 631*n + 431 for n. -1 Solve 24*g + 700 = 312*g - 75*g - 113*g for g. 7 Solve 1345201 = 17733*f - 1261550 for f. 147 Solve -400*r = -1201 + 351 - 1550 for r. 6 Solve 0 = -7608*t + 8326*t - 3728 - 2734 for t. 9 Solve -1306*v - 71*v + 47886 = 10707 for v. 27 Solve -757*m + 104*m - 4153 + 828 = 12*m for m. -5 Solve -12*p + 278*p - 6868 = 64*p for p. 34 Solve 431*i + 65116 - 92700 = 0 for i. 64 Solve -36403*u + 36397*u = -354 for u. 59 Solve 9995*z - 9171*z + 22248 = 0 for z. -27 Solve -219*t + 1696 + 2199 = -1361 for t. 24 Solve -15788*h = 10820*h - 2314896 for h. 87 Solve 36*m + 1224 = -6*m + 20*m - 12*m for m. -36 Solve 296*x - 4247 - 762 - 1125 = -1102 for x. 17 Solve -89*k + 1150*k + 4198 - 17185 = 62*k for k. 13 Solve 0 = 358*q + 428*q - 956*q + 324*q + 7084 for q. -46 Solve -109*p - 351 = 121*p - 5058 + 107 for p. 20 Solve 61*u - 40*u + 5883 = 85*u + 95*u for u. 37 Solve -35659 + 39003 = -176*i for i. -19 Solve 46*b + 326 = -610 - 260 for b. -26 Solve 99008*v - 98823*v + 3515 = 0 for v. -19 Solve 841 = -26*i + 391 - 955 + 183 for i. -47 Solve -15951 = -933*d + 19503 for d. 38 Solve 3433*w = 5161*w - 41472 for w. 24 Solve 139186*k + 35061 = 138783*k for k. -87 Solve 33432*v - 515805 + 25805 = 38332*v for v. -100 Solve 2867*m - 3039*m - 3612 = 0 for m. -21 Solve -8970 = 261*j - 16800 for j. 30 Solve -38*s + 13*s - 833*s - 185*s - 19817 = 0 for s. -19 Solve 145435*z - 851 = 145398*z for z. 23 Solve 3858*a - 239314 - 39314 = 246060 for a. 136 Solve -855794 = -5032*l - 151314 for l. 140 Solve 304*h - 144 = 614*h - 314*h for h. 36 Solve 61019 - 107027 = -639*w for w. 72 Solve 1029*k - 9717 + 32659 = -32624 for k. -54 Solve -17*k + 57*k = -15
{ "pile_set_name": "DM Mathematics" }
27) Simplify (x**(-13/5)/x*(x/(x**(-2)*x))/x)/(x/(x/x**(8/7))*x)**(1/9) assuming x is positive. x**(-298/105) Simplify ((z/(z*z*z**(-9)*z))/(z*((z/(z*((z**(-21)*z)/z)/z))/z)/z))/((z*((z*z**9)/z)/z)/((z*z**20*z)/z)) assuming z is positive. z**(-2) Simplify (m**3)**12*(m*(m*m**(-2/7)*m)/m)**(5/3) assuming m is positive. m**(272/7) Simplify (t/(t/(t*t**2)))**(3/5)*t*(t*t**(-1))/t*t*t**(-1/4)/t assuming t is positive. t**(31/20) Simplify (r*r*r**(-7))**(9/7)*r**14*r**5/r assuming r is positive. r**(81/7) Simplify y/(y/y**(1/13)*y)*y/(y*(y/y**(-1))/y)*(y/(y**3/y))**37 assuming y is positive. y**(-506/13) Simplify (s**(-35)*s**(7/6)*s*s)**(-1/3) assuming s is positive. s**(191/18) Simplify (g*g*g**(-20))/(g**(-17)/g)*(g*g*g**15*g)/(g/g**18) assuming g is positive. g**35 Simplify u**(2/37)/(u/(u*u/(u*u**5)))*(u*u*u*u*u**(5/2)/u*u*u*u)/(u**(-4/21)/u) assuming u is positive. u**(7373/1554) Simplify (w**(5/3)*w**5*(w**(-1/4))**(1/7))**(-25/2) assuming w is positive. w**(-13925/168) Simplify (m/(m*m/(m*m/m**(-7/4))))**(7/2)/(m**14)**46 assuming m is positive. m**(-5075/8) Simplify ((c*c**(-3)*c)/(c**(-1)/c*c))/(c*c**(-3)*c**(-3/7)) assuming c is positive. c**(17/7) Simplify ((((s/(s*s/(s**(-2/5)*s)*s)*s)/s)/(s*s**(-2)))**(-3/8))**29 assuming s is positive. s**(87/20) Simplify i**(-23)*i**(-2/5)*((i*i/(i*i*i**(-3/7)*i))/i)**(-2/13) assuming i is positive. i**(-10537/455) Simplify (z*z**(4/3)/z*z)**(-15)*z**(-6/19)*z/z**(-3/4)*z assuming z is positive. z**(-2475/76) Simplify (d**0*d)/d*d**(-3)*(d**29/d*d)/d**(11/2) assuming d is positive. d**(41/2) Simplify ((q**(-6)/q**(-1/7))/(q**3*(q/(q/q**(-5)*q))/q))**(1/11) assuming q is positive. q**(-13/77) Simplify (u**(-7)/(u/u**(1/3)*u))**12 assuming u is positive. u**(-104) Simplify ((u**2/u*u**(-7))/(u**(5/3)*(u*u**(-4/9)*u)/u*u))**(-4/7) assuming u is positive. u**(332/63) Simplify (w**(-31)*w)/(w*w**(-3))*(w*w/w**7)/(w**(1/3)/w*w) assuming w is positive. w**(-100/3) Simplify (h**(2/7))**34/(h**(-1/17)*(h*h/h**(-2/3))/h) assuming h is positive. h**(2894/357) Simplify (o*o**(11/3)*(o*o/o**10)/o)**(-33) assuming o is positive. o**143 Simplify (k**(4/3))**(-5)/(k*(k**(-23)*k)/k*k*k/((k*k/(k/k**17)*k)/k)) assuming k is positive. k**(94/3) Simplify ((l**(-2))**5/(l/((l**(-1)/l*l)/l))**(17/3))**(-2/97) assuming l is positive. l**(54/97) Simplify ((t**(-9)/t)/t)**(-1/7)/(t/t**(6/19)*t*t**(-18)) assuming t is positive. t**(2379/133) Simplify ((q**(-1)/q)**(1/25)*((q/q**(-1))/q)**(9/7))**(1/2) assuming q is positive. q**(211/350) Simplify ((v**(2/3)/v)**(-18/17)/(v**0*((v*v*v**(-2))/v)/v*v))**(1/5) assuming v is positive. v**(23/85) Simplify (x**0*x)**(-1/64)/((x/x**(2/19))/x*x**(6/11)*x) assuming x is positive. x**(-19473/13376) Simplify k**(-16)/(k**(-22)/k)*k**19*k*k*k**23 assuming k is positive. k**51 Simplify ((m*m**(-8))/(m/(m*m*m**(-3/7))))/(m**(2/39)/m*m*m/m**(-1/4)) assuming m is positive. m**(-8441/1092) Simplify (s/(s**3*s))**(-29)*(s*s**(-13)*s)/((s**(2/17)*s)/s) assuming s is positive. s**(1290/17) Simplify (u*u**(-19))/u**(-1/3)*u/(u**(-5)*u)*u**0 assuming u is positive. u**(-38/3) Simplify (u/(u/(u/u**(-1)))*u**(9/2))/(u*u**(2/25)*(((u*u**7/u)/u)/u)/u) assuming u is positive. u**(71/50) Simplify ((q**1/(q**10*q))/(q**5*q*q**(-5/6)))**18 assuming q is positive. q**(-273) Simplify ((r/r**(-2/3))**4*r*r*r**(-2/9)*r*r/((r**0*r)/r))**33 assuming r is positive. r**(1034/3) Simplify (j*j*j**(2/17)*j*j**(-4))/(j/j**(2/3))**(1/6) assuming j is positive. j**(-287/306) Simplify k*((k/(k*k**(-1/4)))/k)/k*k*k/(k/(k*k**33))*k/((k*k**27/k)/k)*k**14 assuming k is positive. k**(93/4) Simplify (((j*j/((j/j**11)/j)*j*j)/j)/j)/(j/(j*(j**5/j*j*j)/j*j*j))*(j*j**(-1/2))**(1/56) assuming j is positive. j**(2241/112) Simplify ((h**(-2))**(-2/37)*h**(2/25)/h**(-2))**(3/11) assuming h is positive. h**(552/925) Simplify (y/(y*y*y**14/y)*y**11)/(y**(-2/69)*y**(13/4)) assuming y is positive. y**(-1717/276) Simplify ((h/h**(4/7)*h**(-1/5))**44)**33 assuming h is positive. h**(11616/35) Simplify (m**(-4)/m)**(1/47)*(m**(2/7))**(2/19) assuming m is positive. m**(-477/6251) Simplify ((p/(p*((p*p**(-1))/p*p*p*p)/p)*p)**(-1/13))**(-23) assuming p is positive. 1 Simplify (k**(1/9))**(-2/45)/((k/(k/(k/((k*k**(-16)*k*k)/k)*k)))/(k*k*k**(3/5)*k)) assuming k is positive. k**(-5024/405) Simplify (n**(-3/5))**(-1)/(n**(2/19)/((n*n**(-13/5))/n)) assuming n is positive. n**(-40/19) Simplify (s**(-12))**50*(s/(s/s**14))/s*s*s**(-3/5) assuming s is positive. s**(-29
{ "pile_set_name": "DM Mathematics" }
te (5 - -8) + (-19 - 4). -10 Evaluate (-16 - -4) + (-165 - -179 - (0 - -8)). -6 What is the value of -7 + (-5 - (6 - 13)) + 7 + -10? -8 What is the value of 32 + 2 + -9 + -9 + 0? 16 What is 3 - 3 - 0 - (3 - -1 - 7)? 3 What is (-2 - -7 - 0) + -5 - -2? 2 Calculate 0 - -12 - ((-27 - 17) + 43). 13 Evaluate 256 + -263 + 7 + 1 + -2. -1 What is 18 - (-6 - 6 - -40)? -10 What is the value of 7 + (-24 - 2) + (2 - (-4 + 8))? -21 23 + 5 + -15 - 14 -1 What is the value of (-42 + 16 + 14 - -10) + 36? 34 Evaluate 4 + 1 - (-13 + 33 + -14). -1 What is the value of 8 - (3 - (3 + 1) - 3)? 12 What is 0 + 7 - ((8 - 13) + 16 - 19)? 15 What is the value of 0 - 12 - (-1163 + 1166)? -15 17 - (-72 + 86 - (0 - -8)) 11 Calculate 3 - -10 - 16 - (2 - (1 - 3)). -7 (27 - 56) + (8 - ((3 - 3) + -1)) -20 Evaluate 1 + (-10 + 20 + -31 - -12). -8 Calculate -10 + 11 - (-13 - (-5 - -9)). 18 (22 - 13) + -6 + (0 - -4) - 27 -20 Calculate -21 + -2 + 7 + 2. -14 Evaluate (-54 - -55) + (0 - -5). 6 Evaluate (6 - -1) + (16 - 15 - 7). 1 What is the value of (-21 - 8) + 29 + -9? -9 Evaluate -9 + (15 + 1 - (28 + -19)). -2 What is (2 - 5) + (-6 - (-6 - -1))? -4 What is the value of 14 + -12 + -7 - (1 + -18 - -1)? 11 What is -1 - 1 - (28 - (44 + -22))? -8 What is 20 - (42 + (9 - 35))? 4 What is the value of (-1 - -10) + (22 - (27 + 4)) + 14? 14 Calculate (-152 + 155 - (-25 + 1)) + 1 + -9. 19 6 + 32 + (-11 - 14) 13 What is the value of 39 + 0 + (-322 - -297)? 14 What is 5 + 1 + (66 - 73)? -1 What is the value of 7 - (57 + -12 + -14)? -24 -7 + 18 + (-16 - -28) 23 Evaluate -7 - -4 - 5 - (62 + -67). -3 What is the value of (-1 - (2 + (-1 - (5 - 1)))) + 3? 5 What is -22 + 20 + 19 - 35? -18 Calculate (1 - (-3 + 1)) + -12 + 76 + -35. 32 What is -13 - (-7 - -6) - 5 - -10? -7 9 + -9 + -9 + 38 + 4 - 4 29 Calculate -20 - ((-31 - -6) + 3). 2 Evaluate -1 - (-4 + (11 - 12)). 4 What is 5 - ((-8 - (-26 - -4)) + 24)? -33 What is 52 + 1 - (588 + -556)? 21 What is the value of 1 + (-2 - (6 + -3 + 0) - 1)? -5 Evaluate -15 + -2 + 18 - (3 + -5). 3 What is -5 + -1 + (-2 - (-4 + -9 - -12))? -7 What is the value of (-23 - -17 - (0 - -1 - -2)) + 0? -9 What is (-3 - -5) + (-19 - (-18 + 9)) + -7? -15 What is (8 - -19) + -20 - (30 - 1)? -22 What is the value of (-2 - 5) + 4 + 14 + -30 - -4? -15 What is the value of 1 - (5 + (-55 - -51) + (-1 - 3))? 4 What is (-14 - -11) + 30 - 17? 10 What is the value of ((7 - -5) + 17 - 0) + -10? 19 Evaluate -15 + (-16 - (-17 + 3)). -17 Evaluate (-5 - (-2 - 5)) + 29 + -9. 22 Evaluate -261 - -252 - (-16 + -3 + 4 - -1). 5 What is the value of 1 + 14 - (48 + -63 + 9)? 21 Evaluate -37 + (-17 - -7 - -31). -16 Evaluate (1 - -7) + -15 - 1. -8 What is the value of -19 - (-10 + -19 + 22)? -12 Calculate 6 + -1 + 7 + -10 + -10. -8 What is 4 + -31 + -4 + 1 - -2? -28 Evaluate (6 - (1 - (-2 - 0))) + -4 + -3. -4 Evaluate 5 + 1 + (6 + 7 - 7 - 9). 3 -5 - (-7 - 4 - (0 - 7)) -1 Evaluate -20 + 11 + -27 + (1 + 4 - -1). -30 What is the value of -53 - 12 - -45 - (-12 + 0)? -8 3 + -5 + -17 + (14 - -1) -4 Calculate 8 - (1 + 2 - (-63 + 60)). 2 (-1 + 2 - (-16 + 18) - -1) + 5 5 What is 13 + -33 - -16 - -6? 2 (2 - 3) + -107 + 125 + -10 + -2 5 Evaluate -1 - -14 - (-137 + 184) - (-9 - -2). -27 What is the value of 3 + -7 + (5 - -4) + 16 + -8? 13 What is (4 - (8 + (-3 - 5))) + -1? 3 Evaluate -19 + 2 + 8 - -12. 3 Calculate -2 - ((-23 - 8 - -40) + 0 + -21). 10 What is 2 + (0 - -1) + 23 + (11 - 12)? 25 Calculate 3 + (-19 - -9) + 10 + -6. -3 What is 17 - ((19 - 23) + (0 + 2 - -8))? 11 What is (3 - 18) + (17 - (-9 + 20))? -9 Evaluate -16 - (-35 + 5 + 15). -1 Evaluate (9 - (15 - 2)) + -16 + 13. -7 What is the value of 6 + 2 + -2 + -9 - 0? -3 What is 3 - (1 - -2 - -7) - (143 + -147)? -3 12 - (2 - -2 - (-17 + 11) - 5) 7 Calculate (-1 - 9 - 25) + 8. -27 Evaluate (-1 - 11) + (22 - 23) + 18. 5 Calculate 7 + (6 - (1 - -1)). 11 Evaluate 32 - (23 + -2 - -39). -28 Calculate (5 - (-5 + 12)) + -6 - -5. -3 What is the value of 6 + (-14 - (-19 - -5)) - -7? 13 33 + -17 + 3 - (-2 + (3 - 7)) 25 Evaluate -13 + (30 - 2) - 34. -19 37 + -37 + -3 - -21 18 Calculate 10 - (-2 + -7) - (1 + 1 + -4). 21 0 + (3 - (10 + (2 - 16))) 7 5 - (-19 + 2 + 13) 9 Calculate 9 + -11 + 11 - 16 - -15. 8 What is 0 + 5 + 27 + -43 + (9 - 3)? -5 Calculate (-1 - 4) + (21 - 34) + 16. -2 What is the value of 23 + -55 + (4 - -9) - (-1 - 0
{ "pile_set_name": "DM Mathematics" }
1981, -11753, -11519, -11273, -11009? c**3 - 3*c**2 + 230*c - 12209 What is the f'th term of -644247, -644235, -644223? 12*f - 644259 What is the p'th term of -2856, -11177, -25034, -44427, -69356? -2768*p**2 - 17*p - 71 What is the v'th term of 1300, 4928, 10938, 19330, 30104, 43260? 1191*v**2 + 55*v + 54 What is the g'th term of 1370429, 1370419, 1370375, 1370279, 1370113, 1369859? -3*g**3 + g**2 + 8*g + 1370423 What is the r'th term of -949, -1996, -4809, -10270, -19261? -147*r**3 - r**2 - 15*r - 786 What is the d'th term of -12111427, -12111373, -12111233, -12110965, -12110527? 7*d**3 + d**2 + 2*d - 12111437 What is the o'th term of -837, -6175, -15069, -27519, -43525, -63087? -1778*o**2 - 4*o + 945 What is the a'th term of -1672, -13165, -44312, -104941, -204880, -353957, -562000, -838837? -1638*a**3 + a**2 - 30*a - 5 What is the h'th term of -9773, -42362, -96701, -172790? -10875*h**2 + 36*h + 1066 What is the h'th term of 4081067, 8162077, 12243087, 16324097, 20405107, 24486117? 4081010*h + 57 What is the l'th term of -1593, -7852, -18781, -34386, -54673, -79648? -l**3 - 2329*l**2 + 735*l + 2 What is the l'th term of -326439, -652841, -979245, -1305651? -l**2 - 326399*l - 39 What is the u'th term of 932681, 933484, 934287, 935090, 935893? 803*u + 931878 What is the n'th term of 11444, 45605, 102494, 182111? 11364*n**2 + 69*n + 11 What is the o'th term of -5898, -5786, -5464, -4824, -3758, -2158, 84, 3076? 18*o**3 - 3*o**2 - 5*o - 5908 What is the h'th term of -1855299, -7421216, -16697753, -29684910, -46382687? -1855310*h**2 + 13*h - 2 What is the u'th term of 6658078, 13316212, 19974346, 26632480, 33290614? 6658134*u - 56 What is the d'th term of 33466, 66970, 100512, 134098, 167734, 201426? d**3 + 13*d**2 + 33458*d - 6 What is the o'th term of -3898, -15618, -35158, -62518, -97698, -140698, -191518? -3910*o**2 + 10*o + 2 What is the p'th term of -17822, -71248, -160248, -284786, -444826, -640332, -871268? 6*p**3 - 17823*p**2 + p - 6 What is the d'th term of -99023348, -99023350, -99023352, -99023354, -99023356? -2*d - 99023346 What is the c'th term of 7717, 8091, 8471, 8857, 9249, 9647? 3*c**2 + 365*c + 7349 What is the w'th term of -224665, -448612, -672559, -896506, -1120453? -223947*w - 718 What is the g'th term of -2703720, -2703721, -2703720, -2703717, -2703712, -2703705, -2703696? g**2 - 4*g - 2703717 What is the j'th term of -58698, -59484, -60800, -62646, -65022? -265*j**2 + 9*j - 58442 What is the d'th term of 1329, 5642, 12811, 22836, 35717, 51454? 1428*d**2 + 29*d - 128 What is the j'th term of -12812, -26088, -39402, -52754, -66144, -79572, -93038? -19*j**2 - 13219*j + 426 What is the x'th term of 440, -2060, -10548, -28018, -57464? -499*x**3 + 993*x - 54 What is the c'th term of 105436, 210789, 316142, 421495? 105353*c + 83 What is the u'th term of 23474913, 23474892, 23474871, 23474850? -21*u + 23474934 What is the x'th term of -4656758, -4656786, -4656814, -4656842, -4656870, -4656898? -28*x - 4656730 What is the y'th term of 2152, 1030, -92, -1214, -2336? -1122*y + 3274 What is the x'th term of -670, -4881, -16196, -38167, -74346? -592*x**3 - 67*x - 11 What is the x'th term of -16111, -64340, -144729, -257284, -402011, -578916? -x**3 - 16074*x**2 - 36 What is the y'th term of -173032, -173073, -173114, -173155, -173196, -173237? -41*y - 172991 What is the m'th term of -2136428, -2136430, -2136434, -2136440, -2136448, -2136458, -2136470? -m**2 + m - 2136428 What is the i'th term of 5821, 11585, 17417, 23353, 29429, 35681, 42145, 48857? 6*i**3 - 2*i**2 + 5728*i + 89 What is the i'th term of 38186, 76057, 113926, 151793, 189658? -i**2 + 37874*i + 313 What is the k'th term of 107, 266, 441, 632? 8*k**2 + 135*k - 36 What is the k'th term of 39247, 158072, 356121, 633400, 989915? k**3 + 39606*k**2 - 360 What is the f'th term of -216822963, -216822960, -216822957, -216822954? 3*f - 216822966 What is the s'th term of 116436, 116444, 116464, 116502, 116564, 116656? s**3 + s + 116434 What is the g'th term of -356724789, -356724790, -356724791, -356724792, -356724793, -356724794? -g - 356724788 What is the h'th term of 23618, 188560, 636228, 1507976, 2945158? 23559*h**3 + 9*h**2 + 2*h + 48 What is the f'th term of 37460456, 37460453, 37460448, 37460441, 37460432, 37460421? -f**2 + 37460457 What is the
{ "pile_set_name": "DM Mathematics" }
What is the ten thousands digit of 14776? 1 What is the hundreds digit of 1060? 0 What is the units digit of 4012? 2 What is the units digit of 1375? 5 What is the hundreds digit of 883? 8 What is the hundreds digit of 555? 5 What is the tens digit of 2292? 9 What is the units digit of 7891? 1 What is the hundreds digit of 1105? 1 What is the tens digit of 712? 1 What is the ten thousands digit of 35958? 3 What is the units digit of 27983? 3 What is the hundreds digit of 2351? 3 What is the tens digit of 68545? 4 What is the ten thousands digit of 28711? 2 What is the hundreds digit of 1410? 4 What is the tens digit of 7759? 5 What is the units digit of 2962? 2 What is the thousands digit of 10107? 0 What is the tens digit of 2826? 2 What is the hundreds digit of 877? 8 What is the thousands digit of 3090? 3 What is the units digit of 972? 2 What is the thousands digit of 2960? 2 What is the units digit of 3248? 8 What is the hundreds digit of 604? 6 What is the thousands digit of 3973? 3 What is the hundreds digit of 3389? 3 What is the hundreds digit of 675? 6 What is the units digit of 313? 3 What is the thousands digit of 2399? 2 What is the hundreds digit of 11102? 1 What is the tens digit of 83728? 2 What is the hundreds digit of 29287? 2 What is the units digit of 616? 6 What is the hundreds digit of 4110? 1 What is the hundreds digit of 5133? 1 What is the units digit of 4968? 8 What is the units digit of 8906? 6 What is the thousands digit of 2707? 2 What is the tens digit of 4102? 0 What is the tens digit of 6558? 5 What is the thousands digit of 2352? 2 What is the thousands digit of 1018? 1 What is the ten thousands digit of 56096? 5 What is the hundreds digit of 41677? 6 What is the thousands digit of 140257? 0 What is the thousands digit of 9077? 9 What is the units digit of 666? 6 What is the tens digit of 1118? 1 What is the thousands digit of 23309? 3 What is the thousands digit of 1100? 1 What is the thousands digit of 57977? 7 What is the hundreds digit of 1613? 6 What is the units digit of 9182? 2 What is the hundreds digit of 4539? 5 What is the thousands digit of 9000? 9 What is the thousands digit of 27239? 7 What is the units digit of 13272? 2 What is the units digit of 776? 6 What is the units digit of 7779? 9 What is the tens digit of 1136? 3 What is the units digit of 1080? 0 What is the hundreds digit of 3906? 9 What is the tens digit of 36137? 3 What is the tens digit of 1657? 5 What is the units digit of 769? 9 What is the thousands digit of 1384? 1 What is the ten thousands digit of 39346? 3 What is the units digit of 603? 3 What is the hundreds digit of 391? 3 What is the hundreds digit of 11953? 9 What is the hundreds digit of 204? 2 What is the thousands digit of 2229? 2 What is the units digit of 6109? 9 What is the thousands digit of 2397? 2 What is the hundreds digit of 2694? 6 What is the hundreds digit of 13991? 9 What is the hundreds digit of 506? 5 What is the units digit of 41047? 7 What is the ten thousands digit of 24571? 2 What is the hundreds digit of 1374? 3 What is the units digit of 53? 3 What is the units digit of 778? 8 What is the tens digit of 18320? 2 What is the units digit of 1553? 3 What is the tens digit of 13554? 5 What is the units digit of 6407? 7 What is the hundreds digit of 42413? 4 What is the units digit of 1777? 7 What is the ten thousands digit of 16428? 1 What is the units digit of 2333? 3 What is the tens digit of 299? 9 What is the thousands digit of 32423? 2 What is the thousands digit of 1070? 1 What is the hundred thousands digit of 137552? 1 What is the hundreds digit of 1800? 8 What is the hundreds digit of 5269? 2 What is the hundreds digit of 5893? 8 What is the hundreds digit of 15049? 0 What is the tens digit of 398? 9 What is the hundreds digit of 593? 5 What is the tens digit of 1088? 8 What is the tens digit of 2441? 4 What is the thousands digit of 42932? 2 What is the ten thousands digit of 22270? 2 What is the thousands digit of 2803? 2 What is the tens digit of 630? 3 What is the units digit of 40431? 1 What is the tens digit of 794? 9 What is the units digit of 550? 0 What is the units digit of 8905? 5 What is the tens digit of 45961? 6 What is the tens digit of 3629? 2 What is the hundreds digit of 538? 5 What is the units digit of 3009? 9 What is the thousands digit of 7117? 7 What is the units digit of 1462? 2 What is the thousands digit of 5329? 5 What is the hundreds digit of 676? 6 What is the hundred thousands digit of 120184? 1 What is the tens digit of 394? 9 What is the thousands digit of 11936? 1 What is the units digit of 1635? 5 What is the ten thousands digit of 55455? 5 What is the units digit of 699? 9 What is the hundreds digit of 1116? 1 What is the tens digit of 99? 9 What is the tens digit of 17331? 3 What is the units digit of 200? 0 What is the thousands digit of 22851? 2 What is the thousands digit of 18703? 8 What is the hundreds digit of 63377? 3 What is the ten thousands digit of 10429? 1 What is the hundreds digit of 1671? 6 What is the hundreds digit of 6494? 4 What is the ten thousands digit of 26908? 2 What is the hundreds digit of 683? 6 What is the units digit of 59979? 9 What is the tens digit of 1780? 8 What is the tens digit of 4896? 9 What is the thousands digit of 9572? 9 What is the units digit of 562? 2 What is the thousands digit of 1088? 1 What is the units digit of 4788? 8 What is the units digit of 84556? 6 What is the units digit of 2665? 5 What is the thousands digit of 4690? 4 What is the units digit of 17236? 6 What is the hundred thousands digit of 115281? 1 What is the tens digit of 152? 5 What is the thousands digit of 1122? 1 What is the thousands digit of 3019? 3 What is the hundreds digit of 182? 1 What is the tens digit of 386? 8 What is the units digit of 16? 6 What is the hundreds digit of 48568? 5 What is the tens digit of 1042? 4 What is the units digit of 1477? 7 What is the tens digit of 399? 9 What is the hundreds digit of 16778? 7 What is the units digit of 175? 5 What is the tens digit of 220? 2 What is the hundreds digit of 5471? 4 What is the hundreds digit of 15643? 6 What is the thousands digit of 29443? 9 What is the tens digit of 2675? 7 What is the units digit of 728? 8 What is the tens digit of 51860? 6 What is the tens digit of 194? 9 What is the thousands digit of 7907? 7 What is the hundreds digit of 66
{ "pile_set_name": "DM Mathematics" }
ms in 10533*g**2 + 6581*g**2 - 28318*g**2. -11204*g**2 Collect the terms in -315*q - 51130*q + 6547*q - 11520*q. -56418*q Collect the terms in 3141*j**2 + 15*j - 2617 + 2617 - 3*j - 15*j. 3141*j**2 - 3*j Collect the terms in -641*s**3 - 202*s**3 - 331*s**3 + 1980*s**3. 806*s**3 Collect the terms in -89*o**2 + 110*o**2 + 8*o - 230*o**2 - 8*o. -209*o**2 Collect the terms in -99930*y**2 + 19991*y**2 + 19991*y**2 + 19995*y**2 - 9*y**3 + 19959*y**2 + 19994*y**2. -9*y**3 Collect the terms in -4*t**2 + 17*t**3 + 1922*t + 2*t**2 - 30*t**3 + 11*t**3. -2*t**3 - 2*t**2 + 1922*t Collect the terms in -4 - 5 + 3 + 271*y + 139*y. 410*y - 6 Collect the terms in 5*k**2 + 875*k + 233*k + 35*k**2 - 36*k**2 - 1108*k. 4*k**2 Collect the terms in -13*s - 197*s**2 + 79*s**2 + 13*s - 165*s**2. -283*s**2 Collect the terms in -6656 + 83*a - 291*a + 205*a + 2*a**3. 2*a**3 - 3*a - 6656 Collect the terms in -20382*z - 20482*z + 40886*z. 22*z Collect the terms in 2101*d - 1116 + 3350 - 1111 - 1123. 2101*d Collect the terms in 49 + 55 + 143*h + 60 + 50 - 214. 143*h Collect the terms in -771*q - 1021*q - 1013*q + 2805*q - 84*q**2. -84*q**2 Collect the terms in -348*y**2 + 1391*y**2 - 352*y**2 - 353*y**2 - 347*y**2. -9*y**2 Collect the terms in -6878*t - 8793*t**2 + 6878*t - 1. -8793*t**2 - 1 Collect the terms in -1083839*j**2 - 992223*j**2 - 2060069*j**2 - 505865*j**2. -4641996*j**2 Collect the terms in 13545*w**2 - 2711*w**2 - 2705*w**2 - 2705*w**2 - 2706*w**2 - 2717*w**2. w**2 Collect the terms in 188*a**2 + 1306*a**2 + 2541*a**2 + 7461*a**2. 11496*a**2 Collect the terms in 1100*v**3 - 353*v**3 - 360*v**3 - 359*v**3. 28*v**3 Collect the terms in 3*b**2 + 513 + 0*b**2 - 211 - 5*b**2 - 152 - 150. -2*b**2 Collect the terms in -402492*h**2 + 911*h**3 + 2494*h**3 + 402492*h**2. 3405*h**3 Collect the terms in 188*t**2 + 185*t**2 + 409*t**3 + 182*t**2 - 555*t**2. 409*t**3 Collect the terms in 511 + 5880124*h - 511 - 5880123*h. h Collect the terms in 6287*z - 9472*z - 4845*z - 3093*z - 16838*z. -27961*z Collect the terms in -4077*s**2 + 5527*s**2 + 7309*s**2 + 10688*s**2. 19447*s**2 Collect the terms in 3490014*b**3 - 1745062*b**3 - 1745027*b**3. -75*b**3 Collect the terms in -123*s**2 + 10*s**2 + 19*s**2 + 16*s**2 - 2 + 5*s**2 + 28*s**2. -45*s**2 - 2 Collect the terms in 2*f**2 - 4 + f - 168*f**2 + 166*f**2 - 616*f**3. -616*f**3 + f - 4 Collect the terms in 3*w - 459364*w**2 - 38480*w**2 - 3*w. -497844*w**2 Collect the terms in -338*i - 341*i - 347*i + 1348*i - 322*i + 4*i**2. 4*i**2 Collect the terms in -h**2 - 446 - 2414 + 594 - 1063. -h**2 - 3329 Collect the terms in 457*b - 1 + 147 + 50. 457*b + 196 Collect the terms in 2048849*q**2 - 1026623*q**2 - 1022222*q**2. 4*q**2 Collect the terms in -1 + 4 - 1072*x**2 - 1 + 7155*x**2. 6083*x**2 + 2 Collect the terms in 4525*b - 13557*b + 2 + 4524*b + 4520*b. 12*b + 2 Collect the terms in 2 + 6230347*j**3 - 2 - 6229651*j**3 - 4*j. 696*j**3 - 4*j Collect the terms in 250 - 123 - 62230*q - 127. -62230*q Collect the terms in -1891 + 2768 - 863 + x. x + 14 Collect the terms in 20*c**2 + 6103*c + 7*c**2 - 6103*c + 34757 - 34757. 27*c**2 Collect the terms in -3 - 11 - 5860*m + 1849*m + 14. -4011*m Collect the terms in -758 + 2631 - 1119 - 369*d**3 - 754. -369*d**3 Collect the terms in -2153*z**2 + 5909*z**2 - z**3 - 3716*z**2. -z**3 + 40*z**2 Collect the terms in -4*b**3 - 547451578*b**2 + 547450733*b**2 + 5*b**3. b**3 - 845*b**2 Collect the terms in -i**2 + 2*i**2 + 17 + 7203*i - 2408*i - 2430*i - 2365*i. i**2 + 17 Collect the terms in -7*z**2 + 0*z**2 + 3*z**2 + 889 - 449 - 440. -4*z**2 Collect the terms in -2*u + 803527065463 - 803527065463. -2*u Collect the terms in 758259*m**3 + 758443*m**3 + 758459*m**3 - 2275146*m**3. 15*m**3 Collect the terms in 22*b**3 - 25 + 12 + 32*b**3 + 5 + 7. 54*b**3 - 1 Collect the terms in 4*s - 14*s**2 + 22*s - 12*s + 17*s**2 - 14*s + 256. 3*s**2 + 256 Collect the terms in 288*b - 41*b**2 + 6*b**2 - 288*b + 20*b**2. -15*b**2 Collect the terms in 473 - 15*c**3 + 5*c**3 + 1073 + 7*c**3. -3*c**3 + 1546 Collect the terms in 15623*w**2 - 45*w - 11499*w**2 - 4127*w**2 + 45*w. -3*w**2 Collect the terms in 9052 - 254*p + p**2 + 258*p - 9052. p**2 + 4*p Collect the terms in -1616*o**2 + 1331
{ "pile_set_name": "DM Mathematics" }
(h) = -3*h**2 + 4*h + 35. Let d(c) = -7*g(c) + 4*o(c). List the prime factors of d(a). 3, 13 Let j = -13120 - -19407. List the prime factors of j. 6287 Let m(t) = 6*t**3 - 4*t**2 - 4*t - 115. Let j(o) = -7*o**3 + 5*o**2 + 5*o + 115. Let x(s) = -5*j(s) - 6*m(s). List the prime factors of x(0). 5, 23 Suppose 18*m - 37*m = -29317. List the prime factors of m. 1543 Let i be ((-5)/10)/((-3)/(-96)). Let c be -2*3*i/(-12). Let a(j) = -j**3 - 9*j**2 - 9*j + 2. List the prime factors of a(c). 2, 5 Let w = 33 + -29. Suppose 0*n + 3*n + 4*b + 5 = 0, -2*n + w*b + 30 = 0. Suppose n*h = 46 + 159. List the prime factors of h. 41 Let s be 6 + -4*(-2)/(-4). Let g(q) = -8*q - 4. Let k be g(s). What are the prime factors of (-1 + 6)*k/(-10)? 2, 3 Suppose 5*f = 6*f + 5*q - 7, 2*f = -3*q + 14. Suppose -25 = z - 3*z - 5*y, 5*y = 25. Suppose z = 3*k - f - 14. List the prime factors of k. 7 Let u(a) = -8*a + 34. Let s be u(10). Let y = s - -81. What are the prime factors of y? 5, 7 Suppose -55 + 786 = m. What are the prime factors of m? 17, 43 Let j(x) = -x**2 - 2*x - 10. Let b be j(-5). Let y = 39 + b. List the prime factors of y. 2, 7 Suppose -28 = -3*a - 4. Let m = 10 - a. Suppose -2*c + 48 = m*c. What are the prime factors of c? 2, 3 Let i(y) = -5*y**2 + 3*y + 2. Suppose -3*p - 4*z = -p - 6, -3*z = -3*p - 9. Let g be i(p). Let f = g + 45. List the prime factors of f. 3, 13 Suppose 7*o - 5*o = -8. List the prime factors of 8*(-14)/(3 + o). 2, 7 Suppose 2*p + 8 = -0*p. Let t = -23 - -21. What are the prime factors of (0 - p/(-1))*t? 2 Suppose 5*z = -5*g + 10, 0 = 4*z - g - 6 - 7. Suppose -p + 9 = z. What are the prime factors of 80/6*(9 - p)? 2, 5 Let p(s) = -11*s. Let m be 12/8 + 2/4. Let c be m*5/((-40)/12). What are the prime factors of p(c)? 3, 11 What are the prime factors of (17*(-3)/6)/((-2)/20)? 5, 17 List the prime factors of (22332/8)/((-3)/(-4)). 2, 1861 Let a(k) = 6*k**3 - k**2 + 1. Let f be a(1). Suppose g = -2*q + f, -3*q = -2*q - 5. Let h(m) = 2*m**2 + 3*m - 2. What are the prime factors of h(g)? 2, 3 Let t = -8 + 6. Let a be (-3)/t*(-3 - -15). Let f = 12 + a. What are the prime factors of f? 2, 3, 5 Suppose 1 = 5*q - 19. Suppose -9*x + q*x = -550. List the prime factors of x. 2, 5, 11 Let h(t) be the second derivative of 17*t**3/6 + 3*t**2/2 + 6*t. What are the prime factors of h(4)? 71 What are the prime factors of 469 - (11 + 30/(-5))? 2, 29 Let x be (-66)/(-15) + 2/(-5). Suppose -2*r = z + 386, -x*r + 262 = 4*z + 1030. What are the prime factors of r/(-6) + 4/6? 3, 11 Suppose -6*p = -4*p - 3*g, 0 = 3*p + 2*g - 13. Suppose -2*n = 2*n - 20. Suppose 92 = 3*q + n*d, p*q - 84 = -d + 4*d. List the prime factors of q. 29 Suppose 19*d - 10145 = -2*a + 18*d, -2*a + 5*d + 10175 = 0. List the prime factors of a. 5, 7, 29 Let j be 5/((-20)/(-8)) - 6. Let q be j + 3 + 69*1. Let v = q + -47. List the prime factors of v. 3, 7 Let j(z) = -z**3 - 14*z**2 - 2*z - 16. Let l be j(-14). Suppose l*c - 57 = 9*c. What are the prime factors of c? 19 Suppose -2*s + 65 = -0*n - 3*n, 2*n - 210 = -5*s. Suppose -5*h + s = -4*m, 2*m + 0*m + 22 = 3*h. What are the prime factors of (3/(-9))/(h/(-36))? 3 Let g(q) = -69*q - 231. What are the prime factors of g(-8)? 3, 107 Let i(d) = -d**3 - 24*d**2 - 56*d + 27. What are the prime factors of i(-27)? 2, 3, 23 Suppose -9768 = -2*y - 2*y. Suppose -y = -9*m + 6. List the prime factors of m. 2, 17 Suppose y = -z + 3*z - 6654, z = 2*y + 3327. List the prime factors of z. 3, 1109 Suppose 2*p + 2300 = 3*n, 958 - 2482 = -2*n - p. List the prime factors of n. 2, 191 List the prime factors of (4/(-30) - (-968779)/255) + 1. 2, 5, 19 What are the prime factors of (-6)/15*54275/(-26)? 5, 167 Let k = 379 - 576. Let y = 437 + k. List the prime factors of y. 2, 3, 5 Suppose -2*v = -0 + 2. Let h be v/(-4) - 28/(-16). Suppose -4*g + 2*g = 5*z - 150, -3*g - 79 = -h*z. List the prime factors of z. 2 Let j = -101 + 159. Let p = 328 - j. List the prime factors of p. 2, 3, 5 Let d(l) = 62*l**3 - 4*l**2 + 9*l - 18. List the prime factors of d(3). 3, 61 Let u(o) = -14*o - 19. Suppose 11*v = -67 - 10. List the prime factors of u(v). 79 Let w be (-6 - -8 - 3)/(2/(-4)). Suppose -133 = -w*g + 115. What are the prime factors of g? 2, 31 Let a(h) = -7*h - 8. Let m be a(-3). What are the prime factors of (m/26)/((-2)/(-188))? 47 Suppose -3*p - 130 + 148 = 0. Suppose 0 = 3*y - 2*x - 1 - 15, x = 4*y - 23. Let r = y + p. List the prime factors of r. 2, 3 What are the prime factors of ((-450)/60)/(3/(-422))? 5, 211 Let c = -2176 - -3094. What are the prime factors of c? 2, 3, 17 Suppose 288 = f - 4*b, -b = 4*b - 20. List the prime factors of 4/(-3) + f/3. 2, 5 Let n(z
{ "pile_set_name": "DM Mathematics" }
a multiple of 54? False Is 42 a factor of 16632? True Is 40 a factor of 13440? True Is 7410 a multiple of 26? True Is 94 a multiple of 5? False Is 33 a factor of 7821? True Is 19 a factor of 9785? True Is 23 a factor of 8671? True Is 13464 a multiple of 136? True Is 7 a factor of 147? True Is 4 a factor of 156? True Is 12160 a multiple of 60? False Is 44 a factor of 14530? False Is 14 a factor of 1572? False Is 13678 a multiple of 18? False Is 7 a factor of 3255? True Does 69 divide 2539? False Is 16 a factor of 592? True Is 4 a multiple of 4? True Is 58 a factor of 13572? True Does 10 divide 92? False Does 5 divide 2392? False Does 145 divide 14675? False Is 21 a factor of 1677? False Is 32 a factor of 416? True Is 4 a factor of 12252? True Is 3724 a multiple of 2? True Is 5 a factor of 265? True Does 7 divide 9226? True Does 31 divide 3224? True Is 59 a factor of 26727? True Does 200 divide 10299? False Is 270 a multiple of 10? True Is 7 a factor of 215? False Is 1547 a multiple of 7? True Is 45 a factor of 561? False Is 46 a factor of 1150? True Does 52 divide 33404? False Does 366 divide 11223? False Is 84 a factor of 3444? True Does 16 divide 21888? True Does 91 divide 14378? True Does 3 divide 138? True Does 30 divide 5640? True Is 14 a factor of 4885? False Does 24 divide 8208? True Is 26 a factor of 2695? False Is 7462 a multiple of 182? True Does 34 divide 5576? True Is 2223 a multiple of 39? True Does 3 divide 342? True Is 10 a factor of 3959? False Is 14 a factor of 61852? True Does 12 divide 3077? False Is 13394 a multiple of 74? True Is 326 a multiple of 19? False Is 130 a multiple of 26? True Is 45668 a multiple of 73? False Does 97 divide 322? False Is 11996 a multiple of 87? False Does 19 divide 11248? True Is 10207 a multiple of 14? False Is 30225 a multiple of 39? True Is 2063 a multiple of 26? False Is 35 a factor of 93026? False Does 17 divide 1223? False Is 11118 a multiple of 51? True Does 145 divide 25955? True Is 1300 a multiple of 50? True Does 9 divide 26505? True Is 23 a factor of 22344? False Is 25 a factor of 345? False Is 824 a multiple of 31? False Does 301 divide 24080? True Is 237 a factor of 8532? True Does 25 divide 750? True Does 71 divide 568? True Is 13944 a multiple of 21? True Is 2 a factor of 1075? False Is 38 a factor of 3100? False Does 79 divide 711? True Is 93 a factor of 789? False Is 20 a factor of 580? True Is 15 a factor of 42644? False Does 3 divide 147? True Does 10 divide 3040? True Is 8100 a multiple of 100? True Is 551 a multiple of 29? True Is 6 a factor of 1187? False Does 19 divide 2907? True Is 185 a multiple of 13? False Is 59 a multiple of 8? False Does 14 divide 37490? False Does 30 divide 23179? False Is 41 a factor of 15835? False Does 19 divide 9671? True Is 2 a factor of 2001? False Is 10 a factor of 1655? False Is 2084 a multiple of 20? False Is 11582 a multiple of 3? False Does 26 divide 739? False Is 85 a factor of 14456? False Is 1541 a multiple of 23? True Is 2281 a multiple of 78? False Is 167 a factor of 792? False Is 8691 a multiple of 159? False Does 4 divide 192? True Is 68 a factor of 2584? True Does 16 divide 48? True Does 35 divide 735? True Does 11 divide 308? True Is 3 a factor of 5814? True Does 51 divide 1836? True Is 3169 a multiple of 2? False Does 257 divide 22378? False Does 38 divide 141? False Is 1120 a multiple of 28? True Is 3 a factor of 74? False Does 12 divide 18866? False Does 48 divide 1536? True Is 79 a multiple of 4? False Is 407 a multiple of 4? False Does 19 divide 2282? False Is 320 a multiple of 70? False Is 6 a factor of 7736? False Does 3 divide 8307? True Does 38 divide 25279? False Is 7471 a multiple of 15? False Is 25 a factor of 11127? False Is 16 a factor of 2330? False Is 829 a multiple of 20? False Is 11959 a multiple of 112? False Is 20 a factor of 2049? False Does 13 divide 326? False Does 6 divide 18609? False Is 27825 a multiple of 53? True Is 8 a factor of 192? True Does 32 divide 1635? False Is 2090 a multiple of 16? False Does 8 divide 13724? False Is 846 a multiple of 4? False Is 64 a factor of 18270? False Does 54 divide 2486? False Is 2858 a multiple of 24? False Does 15 divide 9648? False Is 7 a factor of 7931? True Is 23 a factor of 469? False Is 225 even? False Is 10 a factor of 45087? False Is 9 a factor of 837? True Is 158 a factor of 37604? True Does 18 divide 1782? True Does 18 divide 5910? False Does 11 divide 14088? False Is 14 a factor of 244? False Does 13 divide 8099? True Is 1656 a multiple of 24? True Is 41328 a multiple of 126? True Does 308 divide 23708? False Does 24 divide 28288? False Is 1202 a multiple of 9? False Is 3 a factor of 13? False Does 6 divide 9468? True Is 92 a factor of 9568? True Does 51 divide 2142? True Is 199 a factor of 22089? True Is 16 a factor of 473? False Is 1190 a multiple of 34? True Is 8424 a multiple of 81? True Is 9520 a multiple of 5? True Is 67 a multiple of 27? False Is 158 a factor of 18170? True Is 7 a factor of 1442? True Is 64169 a multiple of 15? False Does 26 divide 4778? False Is 369 a multiple of 10? False Does 8 divide 10392? True Does 12 divide 468? True Does 12 divide 3652? False Does 20 divide 10655? False Does 174 divide 39672? True Is 46 a factor of 138? True Is 32 a factor of 6240? True Is 28384 a multiple of 7? False Does 8 divide 5536? True Is 338 a factor of 38488? False Does 71 divide 1134? False Does 16 divide 16? True Does 15 divide 405? True Is 5 a factor of 50? True Is 6660 a multiple of 18? True Is 2 a factor of 206? True Is 255 a factor of 24154? False Is 78180 a multiple of 15? True Is 49 a factor of 1063? False Is 22274 a multiple of 14? True Does 7 divide 3021? False Is 13 a factor of 1040? True Does 282 divide 89112? True Is 152 a factor of 22804? False Does 3 divide 104? False Does 122 divide 3695? False Is 32 a factor of 512? True Does 2 divide 59? False Is 1663 a multiple of 15
{ "pile_set_name": "DM Mathematics" }
+ 626985 + 417654 = 0. Do d and -7009 have the same value? False Suppose s = 2*c + 80, 4*s - c - 307 - 6 = 0. Let v = s - 1797/23. Suppose 5*o - 5*l + 40 = 0, 5*l + 64 = 99. Which is bigger: o or v? v Suppose 4*r - 3*r = -6265. Let q be 1000/r - (-3)/(21 + 0). Let o = q + 1632/1253. Which is greater: o or 1? o Let k = -4975 - -5030. Which is smaller: 24 or k? 24 Let m = 15469 - 12887. Is 2582 less than or equal to m? True Let w = 2791 - 2945. Is -7 < w? False Let m(x) = -11*x**3 - 11*x**2 - 29*x - 5. Let w be m(-4). Is w at least as big as 640? False Let f = -3/20 + 67/180. Let z = 470 + -476.01. Let a = z - -5.61. Is f bigger than a? True Let v = -2892 - -2862. Suppose r + 45 = -3*h, -h - 72 = 3*r + 39. Let n = r - v. Which is greater: n or -8? n Let t(o) = -2*o**3 - 27*o**2 + 281*o + 111. Let n be t(-31). Is n not equal to 25035? False Let c = -281/816 - -3/272. Suppose 5*d = -v - 20 - 5, -5*v + d = -5. Let n = v + c. Which is smaller: -1/5 or n? n Suppose -397 - 87 = -4*b. Suppose -5*w = -i + 103, -2*w + 340 = 5*i - b. Let n = i + -467/5. Which is greater: n or 6/13? 6/13 Let b(l) = -15*l**3 + 14*l**2 - 30*l + 5. Let z(v) = 7*v**3 - 7*v**2 + 14*v - 2. Let g(f) = 6*b(f) + 13*z(f). Let k be g(7). Is k smaller than 15? False Let i be (10 - 5)*(-6 - -3). Let p be (11/4)/(i/12). Suppose 5*w + 4*h = -18, 10 = -4*w - 4*h - 6. Which is bigger: w or p? w Let t(f) = f**3 + 8*f**2 + 3*f - 25. Let q be t(-7). Let k be 5 - (-3 - (-2 + 0)). Suppose -k + 6 = q*a. Is 2/53 less than a? False Suppose 647*f - 643*f + 154 = u, 0 = f + 4. Is -6 <= u? True Let s = 15638 - 15842. Are -189 and s non-equal? True Let r be (-24)/3 - 484/(6 - -5). Which is bigger: r or 0.2? 0.2 Suppose 20 = 4*j, -2*j + 17 = 3*n - j. Let c be (-3)/(-4 - 5) - (-88)/6. Let f be (-36)/(-15) + (-51)/c + 3. Which is greater: f or n? n Let l = -289 - -20. Let n = l + 269. Is 0.41 bigger than n? True Let r = 18.43 - 1.44. Let c = -17 + r. Let q = -15.01 - c. Is q bigger than -1? False Let w = 22.042 + -0.042. Let a = w + -20. Let y = -0.57 + -0.23. Is y < a? True Let z = -0.819 - -0.756. Let x = 403.063 + z. Is -1/3 less than or equal to x? True Let p be ((-6090)/(-29))/(-35) + 2 + (-4)/(-1). Is 16/19 at least p? True Let l(c) = -36*c - 31. Let o be l(-6). Let w = -185 + o. Does w = 3/103? False Let z = 315.1 + -508.1. Does 20 = z? False Suppose 5*c + 297 = 252. Let d be (5000/(-45))/(-5) - (-2)/c. Suppose -3*p - 3*w + 2*w = -66, -p + d = -w. Is p <= 22? True Let c = 7216 + -4978. Let z = -194261/2 - -1391213/14. Let s = z - c. Is 5 equal to s? False Let t(q) = q**3 + 20*q**2 - 2*q - 37. Let v be t(-20). Let m = v + 0. Let b be 75/11 + m/(66/4). Is 8 != b? True Let a = 3211/1104 - 77/48. Is a != 2? True Let a(z) = -6*z**2 + 11*z + 23. Let w be 83/17 + 4/34. Let t be a(w). Is 1 smaller than t? False Let p(n) = -n**2 + 4*n - 5. Let g be p(5). Let m be g + 5 + -1 + 4. Let b(l) = 53*l + 374. Let j be b(-7). Which is greater: m or j? j Suppose 594 = 113*a + 481. Is a less than or equal to 2/22551? False Let q = 3.33 + -2.2. Let c = q - -17.61. Let m = c - -0.26. Is 1 less than or equal to m? True Let b be 2/(-4)*-14 + -3. Let c(f) = 2*f - 3. Let x be c(5). Is x > b? True Let n be -9 + 0 + 141685/(-215). Which is greater: n or -670? n Let i = -18.98 + 19.98. Suppose 3*t = 2*n - 1042, 4*t - 3*n - 594 = -1982. Is i != t? True Suppose 2*i = 2*b + 2, b = 2*b + 5*i - 5. Let a(j) = j - 6. Let z be a(b). Let f be 208/(-64) - z/(-8). Which is smaller: f or -24/7? f Suppose -2*g = 134 + 44. Let y(x) = 12041*x + 300931. Let n be y(-25). Which is greater: n or g? g Let k be (-777)/49 + -1 - 1. Let r = k - -1613/77. Which is bigger: 3 or r? r Let q be (-4)/(-14) + 648/(-14). Let b(r) be the third derivative of r**5/30 - 31*r**4/12 - 47*r**3/6 - 5*r**2 + 4*r. Let h be b(31). Is q > h? True Let f = 5 + -3. Let j = -36.27 - 2.23. Let s = 36.5 + j. Which is greater: f or s? f Let w(o) = 3*o**2 + 58*o - 280. Let p be w(-24). Let k be 9/(1*3/18). Which is bigger: k or p? p Let p = 2262831/572 + -3956. Does p = 1? False Let o(m) = -m - 22. Let g(v) = -3*v - 21. Let x(n) = -2*g(n) + 3*o(n). Let c be x(8). Which is greater: 1/26 or c? 1/26 Let b = -463.3 - -472.4. Let w = 0.26 + 1.64. Let j = -0.9 + w. Which is smaller: b or j? j Let n(s) = 8*s - 27. Let r be n(6). Let l be -3 - (7/r)/(2/(-12)). Let u = 6.16 - 0.16. Which is smaller: l or u? l Let k = 836 - 916. Let b be 1
{ "pile_set_name": "DM Mathematics" }
ect the terms in 15401*w**3 + 11434*w**3 - 3005*w**3. 23830*w**3 Collect the terms in 5651*d - 2629*d + 3109*d. 6131*d Collect the terms in 7583*v**2 + 6541*v**2 - 14126*v**2. -2*v**2 Collect the terms in -17 + 145*v + 58 - 15 - 26. 145*v Collect the terms in -3524*s**2 - s + 6947*s**2 - 3506*s**2. -83*s**2 - s Collect the terms in 6630934*f - 6630934*f - 9*f**2. -9*f**2 Collect the terms in 22*u - 156 - 34*u + 18*u + 156. 6*u Collect the terms in 746*x - 249*x - 251*x - 258*x. -12*x Collect the terms in -3365*r**2 + 65 - 2*r + 769*r**2 - 65. -2596*r**2 - 2*r Collect the terms in 1563*i**3 - 1564*i**3 + 198*i - 180*i. -i**3 + 18*i Collect the terms in 106562 - 134*b - 106562. -134*b Collect the terms in 64*h + 128*h + 82*h - 63*h - 3*h. 208*h Collect the terms in 517*j**3 - 166*j**3 - 163*j**3. 188*j**3 Collect the terms in -13*r - 139*r**3 - 6*r + 11*r + 8*r. -139*r**3 Collect the terms in -n**3 + 4*n**3 - 2*n**2 + 0*n**2 + 70 + 3*n**2. 3*n**3 + n**2 + 70 Collect the terms in 27 - 11 + 148*t - 16 - 152*t. -4*t Collect the terms in 220*p**2 - 440*p**2 - 3 + 221*p**2. p**2 - 3 Collect the terms in -1 - 235*l**3 + 168*l**3 + 68*l**3. l**3 - 1 Collect the terms in 528*m**2 + 365*m**2 - 879*m**2. 14*m**2 Collect the terms in -45*c**3 + 12*c**3 - 30 + 2*c**2 - 2 + 0. -33*c**3 + 2*c**2 - 32 Collect the terms in 25 - 3*z + 4*z + 2*z - 60. 3*z - 35 Collect the terms in -93721 - 2*y + 93721. -2*y Collect the terms in 138*r + 145*r - 513*r + 88*r + 145*r. 3*r Collect the terms in -40*a + 160*a - 42*a - 36*a - 43*a. -a Collect the terms in 3 + 828*n**3 - 844*n**3 - 3. -16*n**3 Collect the terms in 14*v**2 + 4*v**2 - 42*v**2 - v**2 + 13*v**2 + 11*v**2. -v**2 Collect the terms in 4 - 20*y**2 - 4 - 50*y**2 + 0. -70*y**2 Collect the terms in -3*n**2 - 77*n + 0*n**2 + 2 - 82*n + 249*n - 90*n. -3*n**2 + 2 Collect the terms in -12*i + 6*i - 3*i**3 + 6*i - 11*i**3. -14*i**3 Collect the terms in 33 - 1351*m**2 + 1871*m - 1871*m - 33. -1351*m**2 Collect the terms in -439*i**3 + 585*i**3 + 37*i**2 - 881*i**3 - 647*i**3 - 38*i**2. -1382*i**3 - i**2 Collect the terms in 0 + 138*g**2 + 0 - 20*g - 36*g. 138*g**2 - 56*g Collect the terms in 100913 + 454*i**2 - 449*i**2 - 100913. 5*i**2 Collect the terms in 31*j**2 - 15*j**2 - j + 705*j**3 - 16*j**2. 705*j**3 - j Collect the terms in 214*c - 147*c + 265*c. 332*c Collect the terms in -429*d**3 + 358*d**3 - 11414 + 11414. -71*d**3 Collect the terms in -27213*o + 27213*o - o**2. -o**2 Collect the terms in -9*s - 6*s + 13*s + 42. -2*s + 42 Collect the terms in 0*t**2 + 27 - 13 - 53*t**2 - 4*t. -53*t**2 - 4*t + 14 Collect the terms in -238*i + 476*i - 2 - 233*i**2 - 238*i. -233*i**2 - 2 Collect the terms in 858 + 735 - 1140 + 2*u**3. 2*u**3 + 453 Collect the terms in -2095*o - 2094*o - 2104*o + 6324*o - 18 + 18. 31*o Collect the terms in -3*c**2 + 0 + 3*c**2 + 4 + 2*c**2. 2*c**2 + 4 Collect the terms in -142131*r + 142133*r - 3 + 3. 2*r Collect the terms in 3222*a**3 + 3248*a**3 + 3249*a**3 - 9717*a**3. 2*a**3 Collect the terms in 12*g**3 - 18*g**3 + 9*g**3 - 13*g + 13*g. 3*g**3 Collect the terms in -2 + 8*r - 5 + 14*r - 33*r + 18*r. 7*r - 7 Collect the terms in -7*m + 985*m**3 + 7*m - 4*m**3. 981*m**3 Collect the terms in 2560 - 1323 + n**3 - 1303 - 3*n**3. -2*n**3 - 66 Collect the terms in 4 + i + 56*i**2 - i - 48*i**2. 8*i**2 + 4 Collect the terms in 17662 - 17662 - 5193*m. -5193*m Collect the terms in 288*m**3 - 280*m**3 - 270*m**3. -262*m**3 Collect the terms in 53*c - c**3 + 27*c - 132*c + 21*c + 31*c. -c**3 Collect the terms in -191*u**2 - 384*u**2 + 117*u**2 - 448*u**2. -906*u**2 Collect the terms in -2 + 502*c**2 + 31*c**3 + 3 - 502*c**2. 31*c**3 + 1 Collect the terms in 3*t - 13289*t**2 + 13299*t**2 - 4*t. 10*t**2 - t Collect the terms in 11*l + 3*l + 2*l - 29*l + 18*l. 5*l Collect the terms in -230*n**2 + 75*n**2 + 75*n**2 - 31*n**3 + 80*n**2. -31*n**3 Collect the terms in -418791*l + 209402*l + 209409*l. 20*l Collect the terms in -202*b - 8 - 322*b + 8 - 56*b. -580*b Collect the terms in -16291905*x**3 + 16291910*x**3 + 0 + 0. 5*x**3 Collect the terms in 0*q + 2 + q - q - 11455*q**2. -11455*q**2 + 2 Collect the terms in -67*r**2 + 476 + 74*r**2 - r**2 - 3*r**2 - 476. 3*r**2 Collect
{ "pile_set_name": "DM Mathematics" }
33, 70310, 70387, 70464, 70541? 77*n + 70156 What is the n'th term of 244, 2579, 9104, 21913, 43100, 74759, 118984, 177869? 349*n**3 + n**2 - 111*n + 5 What is the z'th term of -64400, -64402, -64404, -64406, -64408? -2*z - 64398 What is the c'th term of -382, -791, -1228, -1705, -2234, -2827, -3496, -4253? -2*c**3 - 2*c**2 - 389*c + 11 What is the d'th term of 2018, 8103, 18244, 32441, 50694, 73003, 99368? 2028*d**2 + d - 11 What is the a'th term of 321, 590, 891, 1224, 1589? 16*a**2 + 221*a + 84 What is the s'th term of -1118, -1327, -1674, -2159, -2782, -3543? -69*s**2 - 2*s - 1047 What is the c'th term of 13, -60, -313, -836, -1719, -3052, -4925? -15*c**3 + 32*c - 4 What is the u'th term of -231, -2318, -8103, -19434, -38159? -308*u**3 - u**2 + 72*u + 6 What is the l'th term of -1335, -5342, -12051, -21486, -33671, -48630, -66387? -4*l**3 - 1327*l**2 + 2*l - 6 What is the o'th term of -1081379, -1081380, -1081381, -1081382? -o - 1081378 What is the k'th term of 73, 250, 547, 964, 1501? 60*k**2 - 3*k + 16 What is the l'th term of 4067, 8126, 12185, 16244, 20303? 4059*l + 8 What is the m'th term of -160734, -321469, -482204, -642939? -160735*m + 1 What is the x'th term of -41, -94, -161, -248, -361? -x**3 - x**2 - 43*x + 4 What is the q'th term of 360, 820, 1278, 1734, 2188, 2640, 3090? -q**2 + 463*q - 102 What is the m'th term of 601, 1127, 1999, 3211, 4757, 6631? -m**3 + 179*m**2 - 4*m + 427 What is the a'th term of -3519, -3585, -3701, -3873, -4107, -4409, -4785, -5241? -a**3 - 19*a**2 - 2*a - 3497 What is the h'th term of 21, 31, 85, 213, 445? 5*h**3 - 8*h**2 - h + 25 What is the q'th term of -477, -995, -1493, -1959, -2381, -2747? 2*q**3 - 2*q**2 - 526*q + 49 What is the p'th term of -5462, -21795, -49018, -87131, -136134? -5445*p**2 + 2*p - 19 What is the m'th term of -24994, -25012, -25030, -25048? -18*m - 24976 What is the a'th term of 60, 187, 460, 957, 1756? 13*a**3 - 5*a**2 + 51*a + 1 What is the n'th term of 72, -55, -190, -333, -484, -643? -4*n**2 - 115*n + 191 What is the t'th term of -1175, -2398, -3601, -4772, -5899? 2*t**3 - 2*t**2 - 1231*t + 56 What is the b'th term of 510, 732, 1330, 2490, 4398? 31*b**3 + 2*b**2 - b + 478 What is the o'th term of 632, 492, 112, -628, -1848, -3668, -6208, -9588? -20*o**3 + 652 What is the m'th term of 766, 2978, 6666, 11830? 738*m**2 - 2*m + 30 What is the y'th term of -211, -1538, -5087, -11968, -23291, -40166, -63703, -95012? -185*y**3 - y**2 - 29*y + 4 What is the q'th term of 1949, 3890, 5831, 7772, 9713, 11654? 1941*q + 8 What is the q'th term of -42150, -42060, -41970, -41880? 90*q - 42240 What is the j'th term of 4094, 4308, 4522? 214*j + 3880 What is the q'th term of 924, 1082, 1240, 1398, 1556? 158*q + 766 What is the y'th term of 3127, 3055, 2935, 2767, 2551, 2287, 1975? -24*y**2 + 3151 What is the v'th term of -4453, -4487, -4557, -4681, -4877, -5163, -5557? -3*v**3 - 13*v - 4437 What is the p'th term of 283279, 566573, 849861, 1133137, 1416395, 1699629, 1982833, 2266001? -p**3 + 3*p**2 + 283292*p - 15 What is the p'th term of 1418, 5701, 12836, 22823, 35662, 51353? 1426*p**2 + 5*p - 13 What is the f'th term of -100192, -200384, -300578, -400774, -500972, -601172? -f**2 - 100189*f - 2 What is the s'th term of 317, 330, 349, 374, 405? 3*s**2 + 4*s + 310 What is the d'th term of 4845, 4637, 4429? -208*d + 5053 What is the h'th term of -8, -104, -332, -752, -1424, -2408, -3764, -5552? -10*h**3 - 6*h**2 - 8*h + 16 What is the h'th term of 343, 2763, 9333, 22129, 43227, 74703, 118633? 346*h**3 - h**2 + h - 3 What is the r'th term of -78130, -156260, -234390, -312520, -390650? -78130*r What is the c'th term of 104, 227, 346, 455, 548, 619, 662, 671? -c**3 + 4*c**2 + 118*c - 17 What is the b'th term of -3042, -3120, -3206, -3306, -3426, -3572? -b**3 + 2*b**2 - 77*b - 2966 What is the h'th term of -13042, -13040, -13038, -13036? 2*h - 13044 What is the q'th term of -1626, -3248, -4870, -6492, -8114? -1622*q - 4 What is the l'th term of 3367, 3366, 3365? -l + 3368 What is the m'th term of 1470639, 1470638, 1470637, 1470636, 1470635? -m + 1470640 What is the d'th term of -3107, -6493, -9879, -13265, -16651? -3386*d + 279 What is the g'th term of -2558, -6056, -9554, -13
{ "pile_set_name": "DM Mathematics" }
0 minutes after 12:38 PM? 11:48 PM How many minutes are there between 1:09 AM and 1:48 AM? 39 How many minutes are there between 4:17 AM and 12:29 PM? 492 What is 300 minutes before 12:15 PM? 7:15 AM How many minutes are there between 6:40 PM and 6:28 AM? 708 How many minutes are there between 6:11 PM and 4:35 AM? 624 How many minutes are there between 7:08 AM and 2:12 PM? 424 How many minutes are there between 5:09 PM and 3:27 AM? 618 How many minutes are there between 3:02 AM and 1:20 PM? 618 What is 596 minutes after 12:36 PM? 10:32 PM How many minutes are there between 11:58 AM and 5:00 PM? 302 What is 97 minutes after 8:43 PM? 10:20 PM How many minutes are there between 2:22 PM and 2:12 AM? 710 What is 710 minutes before 11:49 PM? 11:59 AM How many minutes are there between 7:38 PM and 1:38 AM? 360 What is 191 minutes after 7:26 PM? 10:37 PM How many minutes are there between 2:14 PM and 5:05 PM? 171 What is 688 minutes before 4:09 PM? 4:41 AM What is 283 minutes after 11:28 PM? 4:11 AM What is 279 minutes after 5:20 PM? 9:59 PM How many minutes are there between 5:14 AM and 11:28 AM? 374 What is 394 minutes after 1:07 AM? 7:41 AM How many minutes are there between 12:44 AM and 9:09 AM? 505 How many minutes are there between 1:43 PM and 5:46 PM? 243 How many minutes are there between 3:59 AM and 3:17 PM? 678 How many minutes are there between 7:32 AM and 2:51 PM? 439 What is 159 minutes before 5:14 AM? 2:35 AM How many minutes are there between 4:18 PM and 1:10 AM? 532 How many minutes are there between 4:48 PM and 8:58 PM? 250 What is 231 minutes before 11:29 AM? 7:38 AM How many minutes are there between 9:14 AM and 8:41 PM? 687 What is 414 minutes before 4:13 PM? 9:19 AM What is 398 minutes before 5:10 PM? 10:32 AM What is 669 minutes before 12:28 PM? 1:19 AM How many minutes are there between 9:35 PM and 7:05 AM? 570 What is 56 minutes before 10:01 PM? 9:05 PM What is 546 minutes before 1:32 AM? 4:26 PM How many minutes are there between 12:05 AM and 10:01 AM? 596 What is 376 minutes before 7:43 PM? 1:27 PM What is 507 minutes before 3:14 AM? 6:47 PM What is 303 minutes after 10:05 PM? 3:08 AM What is 610 minutes before 1:31 AM? 3:21 PM What is 139 minutes before 9:53 PM? 7:34 PM What is 406 minutes after 8:35 AM? 3:21 PM How many minutes are there between 8:47 PM and 9:50 PM? 63 How many minutes are there between 12:13 AM and 10:24 AM? 611 How many minutes are there between 6:31 AM and 10:40 AM? 249 What is 243 minutes before 8:28 PM? 4:25 PM What is 366 minutes before 10:50 PM? 4:44 PM What is 526 minutes after 9:50 AM? 6:36 PM What is 123 minutes before 8:16 PM? 6:13 PM What is 525 minutes before 2:04 AM? 5:19 PM What is 185 minutes before 2:20 AM? 11:15 PM What is 611 minutes after 7:44 PM? 5:55 AM What is 266 minutes after 9:50 PM? 2:16 AM What is 552 minutes before 5:13 PM? 8:01 AM What is 482 minutes after 11:50 PM? 7:52 AM What is 126 minutes after 1:04 AM? 3:10 AM How many minutes are there between 8:02 AM and 11:29 AM? 207 What is 663 minutes before 3:44 PM? 4:41 AM How many minutes are there between 6:50 AM and 12:32 PM? 342 What is 709 minutes after 9:58 PM? 9:47 AM What is 456 minutes after 9:53 PM? 5:29 AM What is 589 minutes before 12:24 PM? 2:35 AM What is 144 minutes after 1:40 AM? 4:04 AM How many minutes are there between 3:53 PM and 3:40 AM? 707 How many minutes are there between 1:02 PM and 9:15 PM? 493 How many minutes are there between 9:00 PM and 5:58 AM? 538 What is 391 minutes after 9:52 PM? 4:23 AM What is 54 minutes before 11:22 AM? 10:28 AM What is 526 minutes after 2:43 AM? 11:29 AM How many minutes are there between 8:59 PM and 6:18 AM? 559 What is 277 minutes before 4:41 AM? 12:04 AM What is 704 minutes after 5:50 AM? 5:34 PM How many minutes are there between 1:01 PM and 1:03 PM? 2 How many minutes are there between 9:41 PM and 9:13 AM? 692 How many minutes are there between 5:23 PM and 10:02 PM? 279 How many minutes are there between 6:42 PM and 6:36 AM? 714 What is 617 minutes before 7:59 AM? 9:42 PM What is 359 minutes before 8:26 AM? 2:27 AM What is 325 minutes after 11:08 PM? 4:33 AM How many minutes are there between 9:49 PM and 12:14 AM? 145 How many minutes are there between 3:58 PM and 11:40 PM? 462 How many minutes are there between 6:56 AM and 9:42 AM? 166 How many minutes are there between 11:47 PM and 11:53 PM? 6 What is 480 minutes after 11:33 PM? 7:33 AM How many minutes are there between 2:25 PM and 6:34 PM? 249 How many minutes are there between 7:15 PM and 4:21 AM? 546 What is 675 minutes after 7:32 AM? 6:47 PM What is 678 minutes after 2:55 AM? 2:13 PM What is 470 minutes after 8:22 AM? 4:12 PM What is 585 minutes after 10:52 AM? 8:37 PM How many minutes are there between 9:57 AM and 9:56 PM? 719 What is 697 minutes before 8:18 AM? 8:41 PM How many minutes are there between 7:54 AM and 1:25 PM? 331 How many minutes are there between 3:44 PM and 8:46 PM? 302 How many minutes are there between 1:12 AM and 5:18 AM? 246 What is 327 minutes after 10:30 AM? 3:57 PM What is 538 minutes after 6:15 AM? 3:13 PM What is 588 minutes after 5:00 PM? 2:48 AM What is 62 minutes before 11:10 AM? 10:08 AM What is 186 minutes after 6:39 AM? 9:45 AM What is 467 minutes before 10:08 AM? 2:21 AM How many minutes are there between 3:54 PM and 1:49 AM? 595 What is 323 minutes after 1:28 PM? 6:51 PM What is 197 minutes after 2:23 PM? 5:40 PM What is 496 minutes after 11:13 AM? 7:29 PM How many minutes are there between 10:21 AM and 4:06 PM? 345 What is 706 minutes after 7:57 AM? 7:43 PM What is 675 minutes after 4:49 PM? 4:04 AM How many minutes are there between 12:51 PM and 6:58 PM? 367 What is 318 minutes before 2:53 AM? 9:35 PM What is 625 minutes before 8:59 AM? 10:34 PM How many minutes are there between 5:04 AM and 11:10 AM? 366 How many minutes are there between 3:09 PM and 2:16 AM? 667 What is 92 minutes before 5:57 AM? 4:25 AM What is 90 minutes before 8:20 AM? 6:50 AM What is 277 minutes after 4:40 AM? 9:17 AM How many minutes are there
{ "pile_set_name": "DM Mathematics" }
+ 6*c**2 + 2. Let v(z) be the second derivative of -z**5/20 + 7*z**4/12 + z**2 + 103*z - 3. Give 5*s(k) - 4*v(k). -k**3 + 2*k**2 + 2 Let w(j) = -j + 92 + 98 - 194. Let m(b) = -b**3 + b**2 + b + 10. Let z be m(3). Let f(i) = i + 3. Calculate z*w(u) - 6*f(u). -u + 2 Let b(q) = -12*q - 6. Let c(i) = 11*i + 7. Suppose 0 = -15*w + 3*m - 81, -39*w + 37*w = 5*m. What is w*b(u) - 4*c(u)? 16*u + 2 Let a(l) = 14*l + 296. Let f(s) = -24*s - 588. Calculate -5*a(j) - 3*f(j). 2*j + 284 Let h(l) = -7*l + 6. Let r be ((-23)/(-46))/((-2)/(-20)). Let d(c) = -c + 1. Give r*d(t) - h(t). 2*t - 1 Let j be ((2/20)/(41/(-410)))/(1*-1). Let o(c) = 16*c + 2. Let l(h) = h - 1. Determine j*o(m) + 3*l(m). 19*m - 1 Let c(i) = -4*i**2 + 9*i + 1. Let l = 168 - 162. Let h(z) = l*z**2 + 338*z - 1 - 169*z - 183*z. Give 8*c(w) + 5*h(w). -2*w**2 + 2*w + 3 Let b(a) = -8563*a. Let l(j) = -55042962*j. Give -25713*b(p) + 4*l(p). 8571*p Suppose 0 = 5*q, 4*q - 1 = -r - 2. Let j(w) = -3798 - 3794 + 6*w + 11369 - 3789. Let m(l) = -l + 1. What is r*j(a) - 12*m(a)? 6*a Let a(d) = -9*d - 54. Let r(o) = o**2 + 973*o + 11537. Let c be r(-12). Let y(m) = -4*m - 27. Give c*y(q) - 2*a(q). -2*q - 27 Let q(m) = -876*m**3 - 12*m**2 + 13*m + 7. Let w(s) = -439*s**3 - 5*s**2 + 6*s + 3. Calculate -3*q(d) + 7*w(d). -445*d**3 + d**2 + 3*d Let r(p) = -1. Let c(y) = -2*y**2 + 6*y - 5. Let h(k) = 20*k - 99. Let g be 3*((-12)/(-90) - 46/(-30)). Let u be h(g). Calculate u*c(t) - 4*r(t). -2*t**2 + 6*t - 1 Suppose 5*a - 7 - 8 = 0. Let l(i) = 2*i**3 + 3*i**2 + 2. Let q(d) = -10*d**3 - 14*d**2 - 10. What is a*q(u) + 16*l(u)? 2*u**3 + 6*u**2 + 2 Let q(o) = -10*o**2 - 9. Let g(x) = 1. Suppose -4*d - 70*f = -63*f + 36, d + f + 6 = 0. What is d*q(a) - 18*g(a)? 20*a**2 Let d(t) = 4*t**3 + 5*t**2 + 24*t + 6. Let f(j) = -17*j**3 - 21*j**2 - 98*j - 24. Determine 9*d(n) + 2*f(n). 2*n**3 + 3*n**2 + 20*n + 6 Let b(k) = -11*k**3 + 3*k**2 - 5*k + 29. Let d(q) = 33*q**3 - 11*q**2 + 16*q - 97. What is 10*b(g) + 3*d(g)? -11*g**3 - 3*g**2 - 2*g - 1 Let z(u) = -17*u**3 + 12*u**2 + 4*u + 6. Let l(j) = -69*j**3 + 54*j**2 + 18*j + 24. What is -4*l(m) + 18*z(m)? -30*m**3 + 12 Let n = 1 + 4. Let j(c) = 6*c - 2*c + 2 - 23 + 6*c + 33. Let u(g) = -3*g - 4. Determine n*j(d) + 16*u(d). 2*d - 4 Let n(q) = -615*q**3 - q**2 + q - 4. Let p(g) = 2463*g**3 + 5*g**2 - 4*g + 15. What is 11*n(y) + 3*p(y)? 624*y**3 + 4*y**2 - y + 1 Let v(k) be the first derivative of -57 + 1/2*k**2 - 4*k. Let o(q) = -3*q + 13. What is -2*o(r) - 7*v(r)? -r + 2 Let f(s) = -37*s + 149. Let h(n) = -28*n + 147. Give -4*f(d) + 5*h(d). 8*d + 139 Let n = -20919 - -20918. Let u(g) = 1. Let o(k) = 4*k**3 + k - 3. Determine n*o(q) - 3*u(q). -4*q**3 - q Let j(w) = 2*w**3 + 6*w**2 + 14*w - 1. Let f(p) = -2*p**3 - 6*p**2 - 18*p. What is -3*f(v) - 4*j(v)? -2*v**3 - 6*v**2 - 2*v + 4 Let j(y) be the second derivative of 7*y**3/6 - 2*y**2 - 4*y. Let m(r) = -8*r + 4. Suppose -402*s = -398*s + 24. Give s*j(c) - 5*m(c). -2*c + 4 Let n(j) = -51*j**2 + 37*j - 30. Let i(o) = -51*o**2 + 36*o - 24. Give -5*i(p) + 4*n(p). 51*p**2 - 32*p Let f(z) = 936*z + 55 + 968*z + 296*z - 55. Let y(p) = 83*p. Give 5*f(x) - 132*y(x). 44*x Let w(b) = b**2 - 3*b - 9. Let h be (1 + 0)*(-2 - 8191). Let y = -5256 - h. Let u(t) = 1 - 5 - 2938*t + y*t. Give 5*u(r) - 2*w(r). -2*r**2 + r - 2 Let b(p) = -5*p**3 + 16*p**2 - 66*p - 13. Let i(n) = 6*n**3 - 19*n**2 + 64*n + 16. What is -5*b(v) - 4*i(v)? v**3 - 4*v**2 + 74*v + 1 Let i(m) = -m**2 + 4*m + 1. Let y(k) = 2*k**2 - 13*k + 1038. Determine -3*i(p) - y(p). p**2 + p - 1041 Let i(q) be the third derivative of 19*q**5/60 - q**
{ "pile_set_name": "DM Mathematics" }
((sqrt(56)/sqrt(4))/sqrt(2) + sqrt(7)))*3. -7*sqrt(7) - 3 Simplify -3 + ((sqrt(288) - 3*sqrt(288))*1)/(sqrt(40)/((2*sqrt(120))/sqrt(12))). -24*sqrt(2) - 3 Simplify 2*(sqrt(192) + -4*(sqrt(192) + -1)**2) + (sqrt(192) + (4*-2*sqrt(192) - sqrt(192)) + 3*sqrt(192)*-2)**2. 144*sqrt(3) + 36088 Simplify 2 + ((sqrt(250) - (sqrt(250) + sqrt(250)*-1))*-5)/(-1*(sqrt(162) + sqrt(2))) + 3. 5 + 5*sqrt(5)/2 Simplify (2*sqrt(84)*4 + -4*sqrt(84)*-1)/(-3*sqrt(12)*-4 + sqrt(132)/(sqrt(110)/sqrt(10))). 12*sqrt(7)/13 Simplify (4*-2*sqrt(1331)*-4*5 + (1*(sqrt(1331) + sqrt(1331)*2) - (-4 + (sqrt(1331) + -1 - sqrt(1331)) + sqrt(1331))))**2. 17820*sqrt(11) + 34930789 Simplify ((-5*sqrt(84)*-1 - (sqrt(84) - -2*sqrt(84)*2))*3)/(sqrt(192)*-2 + (sqrt(588) + sqrt(12))*-3). 0 Simplify 4 + (-2 + sqrt(300) + 2)**2 + ((-1*sqrt(192))**2 - (-2 + sqrt(3) + 4)) + 0. -sqrt(3) + 494 Simplify -1*((sqrt(475) - (sqrt(475)*5 + -4 - sqrt(475))) + -1 + (sqrt(475) - (5*sqrt(475) + sqrt(475))*4)*6)**2*-3. -12690*sqrt(19) + 28330452 Simplify (1*-6*((-3 + sqrt(6)/sqrt(2) - (1*sqrt(3) + 3)) + sqrt(108) + sqrt(3) + sqrt(9)/sqrt(3) + 1))**2. -2880*sqrt(3) + 7812 Simplify sqrt(288) + 1 + sqrt(288) + -1 + ((sqrt(288) - (0 + sqrt(288)))*-6 - sqrt(288)) + 1 + 3 + -3. 1 + 12*sqrt(2) Simplify -3*(sqrt(704) + (-5*sqrt(704)*-5 - sqrt(704)) + -4 + sqrt(396) + 5)*4. -2472*sqrt(11) - 12 Simplify (sqrt(44)/(sqrt(2) - (sqrt(2) - (sqrt(2) - sqrt(200)/sqrt(4)))))/(sqrt(20)/(sqrt(640)*-2)). 4*sqrt(11) Simplify 1 + ((-1*-4*sqrt(605)*-2)**2 - 3*((0 + sqrt(5))**2 + -5 - (-1 + sqrt(5) + 3))). 3*sqrt(5) + 38727 Simplify ((sqrt(65) - (sqrt(65) + sqrt(65) + (sqrt(65) - 3*sqrt(65))))*-5 - (sqrt(65) + -2*-3*sqrt(65)))/((sqrt(450) + sqrt(50))/sqrt(10)*5*-2). 3*sqrt(13)/10 Simplify (-2 + 1*(sqrt(272) - sqrt(272)*-1) + 3)*-3*-1*1. 3 + 24*sqrt(17) Simplify 2 + (-5*(sqrt(44) + sqrt(11))*-5)**2 - (4*sqrt(1584) - sqrt(11) - (sqrt(11) - (sqrt(396) + -3)))**2. 312*sqrt(11) + 32124 Simplify (((sqrt(168) + sqrt(168)*-1 + sqrt(168))*-5)/(sqrt(192)*2))/(4*((sqrt(7200) - sqrt(7200)*2 - sqrt(7200)) + sqrt(7200))). sqrt(7)/384 Simplify -5*((-1*sqrt(180) + 3 + -4)*-5*-4)**2 + -3. -362003 - 24000*sqrt(5) Simplify (((1 + sqrt(99))*-5)**2 - sqrt(99)) + ((sqrt(99) - -3*sqrt(99)*-4)**2 - sqrt(99)) + 1*((sqrt(539) - (4 + 0 + sqrt(539))) + 4). 144*sqrt(11) + 14479 Simplify 5*(3 + ((1*sqrt(136)*-1)/(-1*sqrt(512)) + -1)*1)*-2. -20 - 5*sqrt(17)/4 Simplify (-6*sqrt(19)*3 + 5 + sqrt(19) + -1)**2 - (5*sqrt(228))/((sqrt(12) + sqrt(36)/sqrt(3))/sqrt(4)). -141*sqrt(19) + 5507 Simplify ((-5*sqrt(117) + sqrt(117) + sqrt(117))*4 - (sqrt(117) - (sqrt(117) + 5*sqrt(117)*4 + sqrt(117))))/(sqrt(324) + sqrt(324)*1 + -4*sqrt(9)*-3 + sqrt(9)). 9*sqrt(13)/25 Simplify ((-2 + 2 + sqrt(5))**2 - 2*(sqrt(25)/sqrt(5))**2) + 4 + (-6*3*(sqrt(5) - (sqrt(5) + 2)))**2. 1295 Simplify -3*(((3 + sqrt(19))*6 - (sqrt(475) + sqrt(19) + -4)) + (6*(3 + sqrt(19) + 1))**2 + 2). -3852 - 864*sqrt(19) Simplify (-2*((-2*sqrt(6336) - sqrt(6336)) + 3 + sqrt(44) + (sqrt(88)/sqrt(2) - sqrt(44)) + 5 + 3))**2*4. -24640*sqrt(11) + 864336 Simplify ((4*(-2 + (sqrt(675) + -2*sqrt(675) - sqrt(27)) + sqrt(162)/(sqrt(96) - (2*sqrt(96) + sqrt(96)))))**2 + -1)*6. 7056*sqrt(3) + 195237/2 Simplify (-5*sqrt(168)/(sqrt(392)*-1))/(-6*sqrt(175) - (2*sqrt(343) + sqrt(343) - sqrt(343))). -5*sqrt(3)/308 Simplify 0 + (0 + 0 + sqrt(720) + sqrt(720) + -2 - ((sqrt(720)*2 + 2 - sqrt(720)) + 1*-1*sqrt(720))) + 1. -3 + 24*sqrt(5) Simplify ((sqrt(36)/(-4*sqrt(3))*-3)/((sqrt(60) - (sqrt(960) + sqrt(60) + sqrt(60)))/sqrt(10) - (sqrt(66)*-2 + sqrt(66))/sqrt(11)) + 3)**2. -9*sqrt(2)/8 + 1161/128 Simplify (sqrt(768)*1*3 - (sqrt(768) + 3*sqrt(768)*2))/(-3*(-1*sqrt(6)*-6 - (sqrt(48)/(sqrt(16)/sqrt(2)) + sqrt(6)))). 8*sqrt(2)/3 Simplify ((1*sqrt(704) - sqrt(704)) + -2 - (-2*1*sqrt(704))**2) + 4 + (-1 + -2*(sqrt(11) + 2 + sqrt(11)*-3) + -4)**2. -2557 - 72*sqrt(11) Simplify 3 + (-4*(-2 + sqrt(1008))*-5 - (5 + sqrt(1008)*2*4))**2. -12960*sqrt(7) + 147180 Simplify ((4 + sqrt(288) + 3 - (-3 + -2*sqrt(288))) + (sqrt(288)*1 + -4)*-6*3)**2. -29520*sqrt(2) + 71524 Simplify 2*(-6*(2*sqrt(343)*-4 + (6*sqrt(343) - sqrt(343)) + -5 + 5)*1)**2. 222264 Simplify ((sqrt(170) + (sqrt(170) - -1*sqrt(170)*-1) - 5*(sqrt(170) - (sqrt(170) + 2*sqrt(170)) - sqrt(170)))*2)/(-5*sqrt(1210) - 3*sqrt(10)*-4). -32*sqrt(17)/43 Simplify -4 + 5 + ((sqrt(1125) + (sqrt(1125) + (sqrt(1125) - (-3 + (sqrt(1125) - (sqrt(1125) +
{ "pile_set_name": "DM Mathematics" }
/(10/25). Let x = -8.47 - -8.6. What is the nearest to 0 in p, -1/2, x? p Let t = 144.16 + -2.16. Let g = t - 142. Which is the closest to 4? (a) g (b) 10 (c) -0.4 a Let h = 439 - -895. Let q be 1 + h/(-1460)*2. Let w = -2/73 - q. What is the closest to -4/5 in 3/4, w, 5? 3/4 Let q be -3 - -4 - (-25)/(-10) - 0. Let f = 33/61 - 587/183. Which is the closest to -1? (a) q (b) f (c) 15 a Let g(f) = -59*f - 166. Let v be g(-3). Let n be (-170)/(-55) - 1/v. What is the nearest to -0.1 in n, 4, 0, 0.3? 0 Let k = 893 - 893.05. Which is the closest to -1/26? (a) k (b) -5 (c) -2/13 (d) -2 a Let d = -10 + 14. Let c = -3894 - -27256/7. Let v = -5 - -4. What is the closest to v in c, 2/9, d? c Let t = -517/150 - -296/75. Which is the nearest to 2/9? (a) t (b) 28/5 (c) 2/9 (d) 0.14 c Let z = -3763.08 - -3763. What is the closest to 2 in 3, z, 1/5? 3 Let u be ((-2)/1)/(3 - 1). Let j = -9343 + 9342.9. What is the nearest to 0 in u, -0.42, j? j Let s be (-132)/22 + (-112)/(-19). Let v = -26 - -25.8. Which is the nearest to -1? (a) v (b) -0.11 (c) 5/4 (d) s a Let o = 951 - 949.4. Which is the closest to -8? (a) o (b) 0 (c) 0.1 b Let o = 5 + 10. Let z = o + -15. Suppose -16 = -m - 11. What is the nearest to 0.1 in z, m, 4? z Suppose -5*h - o + 12 = 0, 4 - 10 = -4*h - 2*o. Let u = 27.954 - -0.046. Which is the nearest to u? (a) -2/3 (b) 2/7 (c) h c Let r = -17556.057 + 17556. Which is the closest to -0.1? (a) 5 (b) 2 (c) 1 (d) r d Let a = -1.4599 - -0.4799. What is the nearest to -2/5 in a, -4, 1/4? a Let w = -0.07 - 3.93. Let o = -41 - -40. Let j = o - -6. Which is the closest to -1? (a) j (b) -9 (c) w c Let q = 28.837 + 0.363. Let u = q + -30.2. Let z = -2 - 0. What is the closest to u in 5/4, z, 2/7? z Let u = -0.0646 + 0.1646. Which is the nearest to -1/22? (a) 0.5 (b) u (c) 0.06 (d) 3 c Let l = -189440/7 + 27062. Which is the closest to 3? (a) 5 (b) l (c) -4/3 (d) 13 a Let r = 19369 - 35939. Let n = r - -1640387/99. Let v = n - -6/11. Which is the nearest to 1? (a) v (b) -1/2 (c) 4/19 c Let q = -172/7 - -24. Suppose 3*h = 11 - 2. Let f(o) = -2*o**2 + 8*o - 3. Let l be f(h). Which is the closest to 0.1? (a) 1/5 (b) l (c) q a Let x be ((-10)/(-6))/(6020/1032). Which is the nearest to -0.2? (a) -0.4 (b) x (c) -216 a Let s = 297/380 - 3/95. Let x = -73.5 + 73.1. Suppose 0 = 4*u, 0 = -5*m - 3*u - u - 20. Which is the nearest to -2/5? (a) m (b) x (c) s b Let r be (390/1430 - (-138)/(-22)) + 3*2. What is the nearest to r in 1, -2/95, -0.3, -1/2? -2/95 Let u be (2/22)/(9/(-54)). Suppose -6*s = -l - 3*s + 11, 4*l - s = 22. Which is the nearest to u? (a) 0 (b) l (c) -4 a Let y = 2922 - 2925.8. What is the closest to -1 in -1, -24, y, -5? -1 Suppose -3*n - 2*n - 4*j + 30 = 0, -4*n + 3 = -j. Let m = 488.3 + -488.1. What is the closest to n in -1/5, m, -7? m Let v be ((-1)/(-2))/((-6)/4). Let h = -2035.3 + 2033.3. What is the nearest to v in h, -8, 6/11, 4? 6/11 Let a(p) = p**3 + 10*p**2 - 8*p + 34. Let o be a(-11). What is the nearest to o in 1, -9.9, -0.4, 4/5? 1 Let w be (1 + 1)*(14/(-9))/((-436)/981). What is the nearest to 5 in w, 0.4, 2? w Let h be -4*(-6)/(-13758)*(-2)/(-4). Let u = 4604/20637 + h. Which is the closest to 0? (a) u (b) 0.5 (c) 4 a Let g = -1418 + 1416. Let z be -24*(6 + g + (-430)/105). Suppose 2*i - 2 = -0*i. What is the closest to 0 in z, -3, i? i Let x = -15.87 - -15.85. What is the closest to x in 0.5, 4, -2/5? -2/5 Let c = 0.1273 + 0.1727. Let u = 2654/13 + -204. What is the nearest to c in 1/4, u, 0? 1/4 Let v = -26.415 + 22.415. Which is the nearest to 1/6? (a) -1/4 (b) -1/6 (c) v (d) -3 b Let k = -20.244 + 16.244. Which is the nearest to k? (a) 1/10 (b) 1/7 (c) -3 (d) 566 c Let v = 36.1 - 35. Let x = -1110 + 1107. Which is the nearest to -1? (a) 5 (b) x (c) v b Let z = -5865 + 5865. Which is the nearest to z? (a) 0.212 (b) 4 (c) -5 a Let q = 151483/14700 - 1421/150. Let n = q + -4/49. Suppose v + 1 = 3*u, -4*u = -11*v + 8*v - 3. Which is the closest to -0.1? (a) 0.5 (b) u (c) n b Let o be 0 + -1 + 48/30. Let l = 32.1 - 32.2. Let r = 1.0797 - 0.0797. What
{ "pile_set_name": "DM Mathematics" }
factor of 10223727? False Does 61 divide 127673963? False Does 2118 divide 63537882? True Is 187101144 a multiple of 4397? True Does 86 divide 91952610? False Does 40 divide 68372120? True Does 12 divide 311773733? False Does 394 divide 60225264? True Does 19 divide 727971434? True Is 1484 a factor of 2594032? True Is 29221727 a multiple of 80? False Does 67 divide 3526600811? True Does 146 divide 232190808? True Is 37471168 a multiple of 64? True Is 115475363 a multiple of 29? False Is 169 a factor of 27923532? True Does 3 divide 23337718? False Does 764 divide 16693400? True Is 606 a factor of 163662768? False Does 3425 divide 403739000? True Is 1313689740 a multiple of 220? True Is 388259140 a multiple of 5? True Is 1216880 a multiple of 4? True Is 63 a factor of 936766? False Does 36 divide 1798458? False Is 89 a factor of 864451? False Is 1573128795 a multiple of 310? False Does 13 divide 410882935? False Is 197 a factor of 1551602617? False Is 2325125494 a multiple of 455? False Is 23271042 a multiple of 209? False Does 28 divide 12013337? False Does 401 divide 376996541? True Is 21574132 a multiple of 43? True Does 26 divide 237495554? False Does 3724 divide 162898932? True Does 82 divide 2287381897? False Is 97344548 a multiple of 3522? False Is 7401 a factor of 1123107355? False Does 5 divide 22393344? False Is 82730944 a multiple of 32? True Does 717 divide 10936016? False Does 6 divide 2839918? False Is 174944787 a multiple of 9? False Is 7087044283 a multiple of 11? True Is 10 a factor of 20734356? False Is 38 a factor of 101811272? True Is 51960615 a multiple of 519? False Is 68834049 a multiple of 26? False Does 532 divide 113773520? True Is 13 a factor of 891919054? True Is 15 a factor of 59856240? True Is 1350798623 a multiple of 7? False Does 158 divide 30195287? False Is 92 a factor of 744050623? False Is 39 a factor of 20595354? True Is 257976202 a multiple of 118? True Is 3536257400 a multiple of 20? True Does 12 divide 45991101? False Does 420 divide 132212619? False Is 135011250 a multiple of 11? True Is 996 a factor of 134401368? False Is 357 a factor of 51596496? True Is 15633564 a multiple of 15? False Is 123 a factor of 15184104? True Is 4 a factor of 211591332? True Does 551 divide 86039201? True Is 5 a factor of 40534080? True Is 11921790 a multiple of 1504? False Is 14 a factor of 21391312? False Does 33 divide 61091682? False Is 10 a factor of 145349271? False Is 254 a factor of 20112078? False Is 167167131 a multiple of 12? False Does 99 divide 10871406? False Is 175109497 a multiple of 2126? False Is 56 a factor of 2363845959? False Does 33 divide 610747735? False Does 14 divide 61593840? True Does 560 divide 1557745280? True Does 1275 divide 24536478? False Does 547 divide 255320519? False Is 21015207 a multiple of 27? True Does 4 divide 17529006? False Does 216 divide 30755667? False Does 693 divide 82317312? True Is 10564997 a multiple of 2361? False Is 227078336 a multiple of 103? False Does 8 divide 110268035? False Is 3899 a factor of 125630027? False Is 4796998 a multiple of 8? False Does 1622 divide 154662566? True Is 61430127 a multiple of 31? True Is 2337 a factor of 404279967? True Is 15 a factor of 298131180? True Does 17 divide 365222632? False Is 759829590 a multiple of 15? True Is 27948781 a multiple of 22? False Does 84 divide 5913216? False Does 158 divide 81982324? False Is 604 a factor of 385067006? False Is 1605032529 a multiple of 23? True Is 3144 a factor of 92176192? False Does 11 divide 127137286? False Does 13 divide 5434461256? False Does 735 divide 245710628? False Is 471 a factor of 342866908? False Is 83 a factor of 9573915? False Is 166 a factor of 7603132? True Is 234 a factor of 64851930? True Is 5658612379 a multiple of 669? False Is 25 a factor of 328187596? False Is 261697077 a multiple of 13? False Does 42 divide 14579166? True Is 20 a factor of 5933860? True Is 215 a factor of 146117652? False Is 3219291135 a multiple of 253? False Does 490 divide 398429708? False Does 145 divide 908984845? True Is 61 a factor of 4213121679? False Is 9214724 a multiple of 144? False Is 3 a factor of 359786029? False Is 6 a factor of 17977734? True Is 1094429549 a multiple of 13? False Is 69 a factor of 19230438? True Does 378 divide 79496424? True Does 485 divide 41350130? True Is 925429094 a multiple of 99? False Is 19306918 a multiple of 28? False Is 269344826 a multiple of 82? True Does 525 divide 495937196? False Is 885 a factor of 1200589230? True Is 536 a factor of 1329635904? True Does 60 divide 1714027620? True Is 57 a factor of 418728669? True Is 554784689 a multiple of 5865? False Does 19 divide 1437407? True Is 387 a factor of 71034520? False Is 543872628 a multiple of 69? True Does 12 divide 268586253? False Is 41 a factor of 174985622? True Is 13767576 a multiple of 435? False Does 19 divide 62504442? False Does 45 divide 32409990? True Does 8 divide 2862155049? False Does 1475 divide 756595350? True Is 629313504 a multiple of 24? True Is 1571934080 a multiple of 32? True Is 3177383 a multiple of 68? False Is 29902795 a multiple of 883? True Does 6 divide 7353640? False Is 18 a factor of 15719352? False Is 31 a factor of 381021? True Does 210 divide 174267660? True Is 222 a factor of 461662166? False Is 46856445 a multiple of 33? False Does 352 divide 68022592? True Is 57181784 a multiple of 44? True Does 11 divide 3890370? True Is 153 a factor of 150516810? True Is 5471270 a multiple of 35? True Does 46 divide 245995396? True Does 2 divide 173241268? True Is 3142415 a multiple of 1802? False Is 6 a factor of 115589750? False Does 17 divide 6252515? True Does 12 divide 1012262016? True Is 12503195 a multiple of 160? False Is 17 a factor of 49361646? False Is 2247677 a multiple of 114? False Does 689 divide 365329405
{ "pile_set_name": "DM Mathematics" }
tors of 86515273? 13, 691, 9631 What are the prime factors of 311356658? 2, 23, 149, 45427 What are the prime factors of 116712026? 2, 58356013 What are the prime factors of 533630114? 2, 233, 1145129 What are the prime factors of 2264314998? 2, 3, 11, 61, 173, 3251 What are the prime factors of 3360778632? 2, 3, 46677481 List the prime factors of 31827187. 7, 347, 13103 What are the prime factors of 1790573453? 809, 2213317 What are the prime factors of 8127242276? 2, 2031810569 What are the prime factors of 50344382? 2, 11, 53, 43177 List the prime factors of 700504209. 3, 181, 487, 883 List the prime factors of 60635638. 2, 7, 41, 15091 What are the prime factors of 124637840? 2, 5, 1557973 What are the prime factors of 2330252920? 2, 5, 58256323 List the prime factors of 2790397166. 2, 109, 12799987 What are the prime factors of 506955126? 2, 3, 1229, 68749 List the prime factors of 63749511. 3, 7, 29, 3877 List the prime factors of 1598105414. 2, 317, 2520671 What are the prime factors of 1940202906? 2, 3, 53, 73, 83579 What are the prime factors of 23380448? 2, 7, 13, 31, 37 List the prime factors of 4145857226. 2, 7, 23, 29, 113, 3929 What are the prime factors of 208115252? 2, 29, 557, 3221 What are the prime factors of 5816720346? 2, 3, 37, 26201443 List the prime factors of 2536465748. 2, 634116437 What are the prime factors of 2641342488? 2, 3, 110055937 List the prime factors of 166178116. 2, 13, 983, 3251 What are the prime factors of 159498253? 53, 3009401 What are the prime factors of 29985150? 2, 3, 5, 13, 15377 List the prime factors of 2031407089. 439, 1567, 2953 What are the prime factors of 4703008780? 2, 5, 587, 400597 List the prime factors of 29631690. 2, 3, 5, 11, 907 What are the prime factors of 454014149? 15241, 29789 What are the prime factors of 1026206700? 2, 3, 5, 17, 311, 647 What are the prime factors of 30011250? 2, 3, 5, 53, 151 List the prime factors of 418193004. 2, 3, 1201, 29017 What are the prime factors of 548637917? 97, 409, 13829 List the prime factors of 3351001457. 3351001457 List the prime factors of 516561202. 2, 258280601 What are the prime factors of 742852580? 2, 5, 37142629 List the prime factors of 328350539. 11, 29850049 What are the prime factors of 204094126? 2, 102047063 What are the prime factors of 3434997552? 2, 3, 7, 43, 237749 List the prime factors of 1306318112. 2, 11, 3711131 What are the prime factors of 442496692? 2, 11, 10056743 List the prime factors of 75403910. 2, 5, 7540391 List the prime factors of 63360592. 2, 19, 29, 7187 List the prime factors of 86559843. 3, 31, 109, 8539 What are the prime factors of 49556256? 2, 3, 19, 101, 269 What are the prime factors of 3505634521? 29, 41, 2948389 What are the prime factors of 104295944? 2, 53, 245981 What are the prime factors of 1249611110? 2, 5, 11, 593, 19157 What are the prime factors of 52651439? 23, 2289193 What are the prime factors of 890139886? 2, 5107, 87149 List the prime factors of 229370040. 2, 3, 5, 637139 What are the prime factors of 32570943? 3, 83, 130807 What are the prime factors of 388585810? 2, 5, 38858581 What are the prime factors of 609815864? 2, 7, 167, 197, 331 What are the prime factors of 28666235? 5, 13, 191, 2309 What are the prime factors of 565451165? 5, 113090233 What are the prime factors of 831876164? 2, 7, 17, 19, 59, 1559 What are the prime factors of 184343162? 2, 92171581 What are the prime factors of 60764113? 61, 311, 3203 List the prime factors of 516820330. 2, 5, 13, 19, 89, 2351 What are the prime factors of 1981678902? 2, 3, 7, 59, 827, 967 List the prime factors of 309599413. 5407, 57259 What are the prime factors of 5029082099? 41, 122660539 List the prime factors of 676953475. 5, 11, 2461649 List the prime factors of 3323433170. 2, 5, 389, 854353 List the prime factors of 36219016. 2, 19, 239, 997 What are the prime factors of 1794952354? 2, 13, 43, 137, 11719 List the prime factors of 5842659897. 3, 216394811 What are the prime factors of 142054905? 3, 5, 29, 326563 List the prime factors of 897893851. 12473, 71987 List the prime factors of 431714578. 2, 367, 588167 List the prime factors of 5213383. 7, 863 What are the prime factors of 102282489? 3, 17, 668513 List the prime factors of 24495923. 29, 71, 11897 What are the prime factors of 89508723? 3, 17, 59, 151, 197 List the prime factors of 12224697. 3, 79, 51581 What are the prime factors of 228501025? 5, 653, 13997 What are the prime factors of 1281121159? 31, 47, 879287 What are the prime factors of 5659183632? 2, 3, 117899659 List the prime factors of 123219634. 2, 61, 1009997 What are the prime factors of 18998450? 2, 5, 61, 6229 List the prime factors of 2501950333. 17, 147173549 List the prime factors of 285683115. 3, 5, 23, 828067 What are the prime factors of 243195808? 2, 383, 19843 List the prime factors of 447569128. 2, 79, 708179 What are the prime factors of 128341715? 5, 37, 693739 What are the prime factors of 51584909? 51584909 What are the prime factors of 23166331? 29, 31, 73, 353 List the prime factors of 211918306. 2, 105959153 List the prime factors of 73446808. 2, 3023, 3037 List the prime factors of 4435023056. 2, 37, 61, 191, 643 What are the prime factors of 2408817124? 2, 7, 79, 1088977 What are the prime factors of 3421199947? 11, 1847, 168391 List the prime factors of 1066092155. 5, 1033, 206407 What are the prime factors of 746113565? 5, 19, 1693, 4639 List the prime factors of 150504431. 7, 11, 293, 953 List the prime factors of 135993155. 5, 27198631 What are the prime factors of 53355641? 941, 56701 What are the prime factors of 685275839? 47, 14580337 What are the prime factors of 836105540? 2, 5, 167
{ "pile_set_name": "DM Mathematics" }