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oes 4 divide 22036? True Is 76 a factor of 8284? True Is 6530 a multiple of 5? True Does 7 divide 560? True Is 76 a factor of 2302? False Does 14 divide 252? True Does 15 divide 675? True Does 36 divide 693? False Is 3720 a multiple of 124? True Does 8 divide 23873? False Is 43 a factor of 2150? True Does 7 divide 317? False Is 42151 a multiple of 61? True Is 2146 a multiple of 3? False Does 13 divide 10738? True Is 6 a factor of 870? True Does 4 divide 744? True Is 10645 a multiple of 69? False Is 72 a multiple of 34? False Is 6 a factor of 222? True Does 14 divide 14? True Is 7 a factor of 1399? False Is 64 a factor of 29806? False Is 200 a factor of 26200? True Is 2 a factor of 147? False Does 24 divide 21029? False Is 6 a factor of 228? True Is 9 a factor of 31482? True Is 45 a factor of 640? False Is 25 a factor of 14100? True Is 2389 a multiple of 15? False Is 10094 a multiple of 100? False Is 144 a factor of 66672? True Is 65776 a multiple of 16? True Is 7 a factor of 756? True Does 14 divide 196? True Does 29 divide 7366? True Is 7 a factor of 3307? False Does 29 divide 26477? True Does 132 divide 3168? True Does 107 divide 3586? False Is 182 a multiple of 2? True Is 10 a factor of 33590? True Is 73305 a multiple of 148? False Is 25 a factor of 200? True Is 99 a factor of 693? True Is 58 a factor of 1921? False Is 81 a factor of 1685? False Is 56962 a multiple of 12? False Is 23 a factor of 276? True Is 3950 a multiple of 30? False Does 19 divide 2186? False Does 218 divide 56331? False Is 70 a multiple of 14? True Is 46 a factor of 79810? True Is 34 a factor of 7888? True Is 29580 a multiple of 17? True Is 53 a factor of 12508? True Is 236 a factor of 45188? False Is 13020 a multiple of 84? True Is 99 a factor of 680? False Is 4581 a multiple of 9? True Is 38 a factor of 12312? True Does 2 divide 4055? False Is 215 a factor of 102268? False Is 1066 a multiple of 9? False Does 3 divide 1521? True Does 16 divide 23952? True Is 10 a factor of 30567? False Is 2961 a multiple of 2? False Is 4778 a multiple of 5? False Is 10 a factor of 7970? True Does 117 divide 56277? True Is 18506 a multiple of 6? False Is 290 a multiple of 33? False Is 34 a multiple of 23? False Is 30 a factor of 2010? True Is 329 a multiple of 7? True Does 21 divide 546? True Does 14 divide 1926? False Is 22 a factor of 3146? True Does 53 divide 3053? False Does 60 divide 2311? False Is 19760 a multiple of 38? True Is 12 a factor of 658? False Is 78384 a multiple of 16? True Is 42423 a multiple of 79? True Does 44 divide 4192? False Is 2788 a multiple of 17? True Is 142 even? True Is 5 a factor of 220? True Is 71422 a multiple of 67? True Does 47 divide 3981? False Does 42 divide 4362? False Is 29 a factor of 39353? True Is 828 a multiple of 36? True Does 41 divide 615? True Does 32 divide 436? False Is 5814 a multiple of 102? True Is 4779 a multiple of 27? True Does 31 divide 6078? False Is 224 a factor of 6631? False Does 171 divide 3933? True Does 17 divide 527? True Is 102 a factor of 385? False Is 13908 a multiple of 19? True Is 26 a factor of 25717? False Is 92 a factor of 21252? True Is 97548 a multiple of 12? True Is 226 even? True Is 12 a factor of 18564? True Is 2009 a multiple of 30? False Is 62 a factor of 868? True Is 1051 even? False Is 3510 a multiple of 26? True Is 257 a multiple of 11? False Is 31 a factor of 1083? False Is 7390 a multiple of 19? False Is 120 a multiple of 6? True Does 159 divide 7791? True Does 15 divide 45315? True Is 1935 a multiple of 24? False Is 83129 a multiple of 97? True Is 7 a factor of 22974? True Is 20234 a multiple of 67? True Does 9 divide 1404? True Is 167 a factor of 9185? True Does 13 divide 163? False Is 30 a factor of 2097? False Is 13 a factor of 5792? False Is 2060 a multiple of 77? False Does 13 divide 1209? True Is 1703 a multiple of 30? False Is 24574 a multiple of 11? True Is 285 a multiple of 4? False Does 14 divide 4830? True Is 2 a factor of 979? False Is 42 a multiple of 14? True Is 2867 a multiple of 33? False Is 42705 a multiple of 15? True Is 40 a factor of 2800? True Is 4225 a multiple of 25? True Is 5 a factor of 5230? True Is 13 a factor of 767? True Is 25691 a multiple of 23? True Does 7 divide 676? False Is 11 a factor of 880? True Is 38 a factor of 15221? False Is 82497 a multiple of 257? True Is 2 a factor of 175? False Is 18557 a multiple of 7? True Is 2442 a multiple of 14? False Does 6 divide 567? False Is 11 a factor of 426? False Is 17 a factor of 3723? True Is 85727 a multiple of 59? True Does 48 divide 4848? True Is 7 a factor of 154? True Does 6 divide 88? False Is 94671 a multiple of 201? True Is 5928 a multiple of 13? True Does 17 divide 11254? True Is 42957 a multiple of 129? True Does 71 divide 5822? True Does 3 divide 387? True Does 61 divide 12923? False Is 150 a factor of 44700? True Is 495 a multiple of 59? False Does 36 divide 4522? False Is 7218 a multiple of 9? True Is 7 a factor of 1556? False Is 12 a factor of 1344? True Does 14 divide 1400? True Does 159 divide 76320? True Is 8 a factor of 230? False Is 14 a factor of 2821? False Is 3270 a multiple of 15? True Does 16 divide 4736? True Does 33 divide 1584? True Is 96707 a multiple of 13? True Is 96 a factor of 10976? False Does 30 divide 1950? True Is 2764 a multiple of 112? False Is 59 a factor of 98296? False Is 6 a factor of 417? False Is 960 a multiple of 12? True Does 15 divide 9568? False Is 6730 a multiple of 10? True Does 212 divide 18020? True Is 1449 a multiple of 23? True Is 22 a factor of 1254? True Is 15 a factor of 4095? True Is 68 a multiple of 26? False Is 62419 a multiple of 37? True Is 13995 a multiple of 2? False Is 12 a factor of 13032? True Is 37 a factor of 148? True Is 8 a factor of 1368? True Is 1502 a multiple of 18? False Does 39 divide 4095? True Is 30 a factor of 3660? True Does 12 divide 2044? False Is 89617 a multiple of 193? False Is 37926 a multiple of 49? True Is 13 a factor of 2598? False Is 17 a factor of 1054? True Is 1153 a multiple of 3? False Is 71183 a multiple of 68? False Does 13 divide 695? False Is 41358 a multiple of 61? True Does 73 divide 1825? True Does 7 divide 315? True Is 40 a factor of 3823? False Does 6 divide 21507? False Is 24 a factor of 11881? False Is 7985 a multiple of 20? False Is 424 a multiple of 33? False Is 33 a factor of 1185? False Is 2468 a multiple of 60? False Is 721 a multiple of 7? True Is 283 a multiple of 10? False Does 3 divide 137? False Is 259 a multiple of 19? False Does 23 divide 224? False Is 10 a factor of 666? False Does 149 divide 1490? True Is 31 a factor of 1375? False Does 42 divide 3562? False Is 494 a multiple of 13? True Does 78 divide 34663? False Is 4634 a multiple of 11? False Does 21 divide 1186? False Is 14 a factor of 182? True Is 23220 a multiple of 180? True Is 4160 a multiple of 80? True Is 352 a multiple of 8? True Is 7 a factor of 672? True Does 23 divide 70932? True Is 257 a factor of 10794? True Is 4 a factor of 13676? True Is 4 a factor of 453? False Is 30 a factor of 4378? False Is 46 a factor of 14845? False Does 4 divide 507? False Is 8 a factor of 3064? True Is 4 a factor of 5018? False Does 11 divide 1681? False Is 14 a factor of 70? True Is 49 a factor of 2695? True Is 758 a multiple of 15? False Does 7 divide 6560? False Is 1140 a multiple of 38? True Does 44 divide 15664? True Is 1549 a multiple of 27? False Is 13493 a multiple of 131? True Is 7 a factor of 161? True Does 34 divide 15776? True Does 7 divide 245? True Is 4 a factor of 1112? True Is 26640 a multiple of 74? True Is 60 a factor of 1080? True Is 3 a factor of 680? False Is 186 a factor of 43186? False Is 21275 a multiple of 8? False Does 3 divide 10143? True Is 4529 a multiple of 2? False Is 32 a factor of 474? False Is 2184 a multiple of 28? True Is 9 a factor of 1133? False Is 7 a factor of 827? False Is 1830 a multiple of 29? False Is 147435 a multiple of 16? False Is 4620 a multiple of 110? True Is 34 a factor of 1632? True Is 23 a factor of 995? False Is 17 a factor of 2370? False Is 8 a factor of 436? False Is 705 a multiple of 48? False Is 23820 a multiple of 15? True Is 27904 a multiple of 218? True Is 8460 a multiple of 60? True Is 23 a facto
{ "pile_set_name": "DM Mathematics" }
- -35a? -1039 In base 9, what is 165271 - -3? 165274 In base 11, what is -25471 - -4? -25468 In base 2, what is -101 + 10100100101000010111? 10100100101000010010 In base 13, what is b5 + c71? 1056 In base 15, what is 2 + 2ee0? 2ee2 In base 9, what is -207 + -8655? -8863 In base 4, what is -3013010 + -3? -3013013 In base 15, what is -4 + 306d? 3069 In base 12, what is 293 - 351? -7a In base 3, what is 12 - 2221221201? -2221221112 In base 2, what is 100011011100000010 + 11? 100011011100000101 In base 13, what is 16017 - 3? 16014 In base 5, what is 240144230 - 1? 240144224 In base 5, what is -102 - 100431? -101033 In base 9, what is -34 - -20768? 20734 In base 8, what is -6514610 - 5? -6514615 In base 16, what is 9b2 + 1d8? b8a In base 5, what is -230132 - 12? -230144 In base 5, what is 140110 + 2? 140112 In base 7, what is 13 - -21330? 21343 In base 13, what is -3 - -33cb56? 33cb53 In base 7, what is -12404111 - 3? -12404114 In base 9, what is -4 + -77582? -77586 In base 9, what is 222 + -1033? -711 In base 4, what is -21 - -12031331? 12031310 In base 6, what is 551503 + -1? 551502 In base 2, what is -11110001011 + 10000101? -11100000110 In base 14, what is 4 + 205da9? 205dad In base 7, what is 423216 - 5? 423211 In base 3, what is 120 - -2110002011? 2110002201 In base 15, what is -9d + 9785? 96d7 In base 10, what is 257 - -3132? 3389 In base 15, what is -d1e - -e? -d10 In base 6, what is 254440 + 5? 254445 In base 5, what is 30 - -12100021? 12100101 In base 13, what is -3 - -2874? 2871 In base 7, what is -4 - -10411552? 10411545 In base 16, what is 5 + 68919? 6891e In base 11, what is 12a4 + 2743? 3a37 In base 6, what is -115 + 133320? 133201 In base 11, what is 1 - -168531? 168532 In base 4, what is -2231332 - 3020? -2301012 In base 2, what is 100100100 - -10100100101111? 10101001010011 In base 13, what is -39 + -11ac? -1218 In base 4, what is 10 - 333121012? -333121002 In base 10, what is -1 + -1158721? -1158722 In base 4, what is 211 + -101132? -100321 In base 10, what is 32289 + 4? 32293 In base 6, what is 12313 - -1151? 13504 In base 16, what is -11dc + 227? -fb5 In base 11, what is 6 - -56510? 56516 In base 15, what is 10468 + 35? 1049d In base 15, what is 53b - -11? 54c In base 14, what is 14d4 + 66? 155a In base 5, what is -14 - -24303? 24234 In base 11, what is -4048 + -51? -4099 In base 6, what is -4 - -14334? 14330 In base 8, what is 312715 + 2? 312717 In base 4, what is 322 - -1231? 2213 In base 15, what is 135d + e? 136c In base 13, what is a33 - -aa? b10 In base 3, what is 10102001202 + 20? 10102001222 In base 13, what is -652 + -ac? -731 In base 13, what is 4 + -6957b? -69577 In base 8, what is 5 - 3425? -3420 In base 4, what is -12220 + 112? -12102 In base 6, what is 154521 - 20? 154501 In base 10, what is -99 + 3496? 3397 In base 11, what is -3528 - -2a? -34a9 In base 16, what is a5 - 8dd? -838 In base 5, what is -14 - 24223? -24242 In base 2, what is -11010001100011001110 + 11? -11010001100011001011 In base 4, what is 31202 - 2213? 22323 In base 12, what is -349 - -13a9? 1060 In base 6, what is 5054 - 545? 4105 In base 12, what is 3328 - -5? 3331 In base 5, what is -1311144 + 14? -1311130 In base 3, what is 0 - -12011211211? 12011211211 In base 4, what is -120102212 + 10? -120102202 In base 13, what is -115c4 - -1b? -115a6 In base 5, what is -2 - -30103131? 30103124 In base 7, what is 524 - 5240? -4413 In base 13, what is 25 + b8c? bb4 In base 13, what is -17443a8 + -3? -17443ab In base 16, what is 5ab + -2b? 580 In base 2, what is 1011010010101111010 + 0? 1011010010101111010 In base 7, what is -5 - -125631? 125623 In base 16, what is -29 + -143e? -1467 In base 7, what is 206 + 1050? 1256 In base 11, what is 28 + 25112? 2513a In base 3, what is 1020220020 - 1211? 1020211102 In base 2, what is -11010100001010011111 + 0? -11010100001010011111 In base 12, what is 31201 - 0? 31201 In base 6, what is -1414 + 5? -1405 In base 13, what is b2 - a48? -966 In base 16, what is -10b - cc? -1d7 In base 9, what is -5 - 14426? -14432 In base 16, what is e3 - -cc? 1af In base 15, what is 1b53c - -3? 1b540 In base 7, what is 2 - 5413101? -5413066 In base 6, what is -2443 - -41? -2402 In base 7, what is 165215 - 2? 165213 In base 13, what is 0 + 28875? 28875 In base 15, what is -48a2 - 9b? -494d In base 3, what is 2 + 22201200201? 22201200210 In base 10, what is 55 - 193? -138 In base 11, what is -302 + -191? -493 In base 13, what is -3 + 9176a? 91767 In base 16, what is -517 + -3? -51a In base 16, what is e2f - 5? e2a In base 2, what is 1111000010101 - -1100? 1111000100001 In base 4, what is -201132120 + -3? -201132123 In base 15, what is 2 - 63ac3? -63ac1 In base 7, what is -3 + -354341? -354344 In base 12, what is -9 + -2319? -2326 In base 16, what is 7c9d0 - 0? 7c9d0 In base 6, what is -32 + -24210? -24242 In base 4, what is 0 - -22023112? 22023112 In base 9, what is 3 + 20674? 20677 In base 10, what is -1 - -7615? 7614 In base 8, what is 3 + -16360? -16355 In base 8, what is 606 + 7414? 10222 In base 2, what is 100 - 1110000111010? -1110000110110 In base 2, what is 101010001000010000 + 101? 101010001000010101 In base 3, what is -12111 - 210220210? -211010021 In base 3, what is -1012211212001 - -2? -1012211211222 In base 8, what is -6 - -21162? 21154 In base 2, what is -1101 - 1100011011110001? -1100011011111110 In base 6, what is 1424 - -11433? 13301 In base 4, what is 3211 + 1010110? 1013321 In base 7, what is -1626 + 2611? 652 In base 5, what is 203014 + 3421? 211440 In base 12, what is 53 - -783? 816 In base 16, what is 3ce - 3fb? -2d In base 2, what is 10010111010010100 - 1? 10010111010010011 In base 14, what is -126c + -2d? -129b In base 4, what is -2131331 - 0? -2131331 In base 15, what is 13ab4 - 4? 13ab0 In base 10, what is -1 - -713525? 713524 In base 10, what is -30378 + -17? -30395 In base 11, what is -139 - 348? -486 In base 6, what is 5213 - -3551? 13204 In base 4, what is -10 - -1311032022? 1311032012 In base 7, what is -345244 + 1? -345243 In base 2, what is -1100011111111100 - 101? -1100100000000001 In base 12, what is -2 + -71b56? -71b58 In base 16, what is -6 - 3d98? -3d9e In base 4, what is 1303022203 + -3? 1303022200 In base 3, what is 21 + 11012201110? 11012201201 In base 2, what is -1 + -100000011010101001? -100000011010101010 In base 7, what is 15144056 - -3? 15144062 In base 16, what is 238 + -54? 1e4 In base 9, what is -260 - 743? -1113 In base 12, what is -1 - 362624? -362625 In base 5, what is -2043 - 1433? -4031 In base 10, what is -6 + -135282? -135288 In base 4, what is -211103 + -1303? -213012 In base 13, what is -538 + -13? -54b In base 14, what is -41 - -1d8? 197 In base 11, what is -2516 - a2? -2608 In base 16, what is 9edd + -4e? 9e8f In base 9, what is -18880 + 134? -18745 In base 14, what is 2972 + 2? 2974 In base 14, what is aa63 - a? aa57 In base 14, what is -4 - -231ad? 231a9 In base 7, what is 1 - 564242? -564241 In base 3, what is -11 - -12010202110? 12010202022 In base 10, what is 20 - -63? 83 In base 14, what is -208 + -24? -22c In base 10, what is 1 + 17820? 17821 In base 14, what is b - c21? -c14 In base 12, what is -6a492 + -3? -6a495 In base 3, what is 2 + 2020002022? 2020002101 In base 4, what is 1 - -12022230? 12022231 In base 8, what is -423167 - -3? -423164 In base 16, what is -2 - -f1e3? f1e1 In base 16, what is 8aa - a? 8a0 In base 11, what is -5 - -13938? 13933 In base 9, what is 22524113 - -3? 22524116 In base 5, what is -111120033 + -2? -111120040 In base 13, what is 82 - -c31? cb3 In base 12, what is -4 + 26a459? 26a455 In base 12, what is 3a79 - 4? 3a75 In base 12, what is 2a70 + 79? 2b29 In base 8, what is -14 + 402? 366 In base 6, what is 0 + 300514? 300514 In base 8, what is -3065 + -31? -3116 In base 4, what is 13121 + -1232? 11223 In base 7, what is -26 + -1503665? -1504024 In base 5, what is 0 + -14340? -14340 In base 2, what is 1 - 1010010000001? -1010010000000 In base 2, what is 101100110 + 10110110? 1000011100 In base 4, what is 1 + 12023032302? 12023032303 In base 10, what is -6092 - -25? -6067 In base 6, what is -52 - 3352? -3444 In base 6, what is 123 - -5500? 10023 In base 5, what is -11122 - 1400? -13022 In base 10, what is -2607 - -4? -2603 In base 10, what is 1
{ "pile_set_name": "DM Mathematics" }
from {v: 4, b: 7, y: 7}. What is prob of sequence bbv? 7/204 Four letters picked without replacement from dnekkdelledplelekddl. Give prob of sequence depl. 25/23256 What is prob of sequence cyy when three letters picked without replacement from byklyykkckkbyylyb? 1/136 Two letters picked without replacement from {g: 1, f: 2, y: 6, c: 1, r: 2}. What is prob of sequence yc? 1/22 Four letters picked without replacement from xfoofff. What is prob of sequence fxff? 1/35 Three letters picked without replacement from {d: 2, u: 3, t: 3}. What is prob of sequence utt? 3/56 Three letters picked without replacement from {a: 1, m: 3, u: 4, c: 2, q: 4, i: 1}. What is prob of sequence cma? 1/455 What is prob of sequence ct when two letters picked without replacement from rtrcr? 1/20 Two letters picked without replacement from {k: 3, f: 2, m: 1, u: 1, a: 7}. Give prob of sequence mf. 1/91 What is prob of sequence jggg when four letters picked without replacement from sjsgjjggg? 1/42 Three letters picked without replacement from {e: 2, s: 1, l: 2}. Give prob of sequence esl. 1/15 Calculate prob of sequence fgx when three letters picked without replacement from {v: 2, g: 3, x: 1, d: 2, s: 1, f: 3}. 3/440 Calculate prob of sequence gpr when three letters picked without replacement from {r: 1, g: 9, k: 1, e: 5, p: 2}. 1/272 What is prob of sequence tfh when three letters picked without replacement from {f: 5, t: 2, h: 10, g: 3}? 5/342 Calculate prob of sequence jj when two letters picked without replacement from roaoioaapprjrpo. 0 Calculate prob of sequence mz when two letters picked without replacement from zzzmmnmnzmnmnnm. 4/35 Two letters picked without replacement from vccvnccvvvcvccccc. What is prob of sequence cc? 45/136 Two letters picked without replacement from {k: 4, z: 1, u: 2}. Give prob of sequence kz. 2/21 What is prob of sequence vf when two letters picked without replacement from {v: 4, p: 3, f: 4, n: 1, g: 2}? 8/91 Four letters picked without replacement from {l: 4, r: 4, n: 12}. Give prob of sequence nrln. 88/4845 Two letters picked without replacement from {t: 4, i: 2, w: 10, c: 1}. Give prob of sequence ci. 1/136 Two letters picked without replacement from fzz. Give prob of sequence zz. 1/3 Calculate prob of sequence twyy when four letters picked without replacement from wtywxtxtxw. 0 Calculate prob of sequence pr when two letters picked without replacement from rgpgzjj. 1/42 Calculate prob of sequence bbbu when four letters picked without replacement from bubuybbbuuubuuuyuuub. 77/3876 Two letters picked without replacement from lqlpqqlpqqllzxqnxxzq. What is prob of sequence pl? 1/38 Two letters picked without replacement from {x: 2, n: 3, f: 2, j: 2, r: 6}. Give prob of sequence jr. 2/35 Calculate prob of sequence tz when two letters picked without replacement from {z: 2, s: 4, w: 2, t: 1}. 1/36 Calculate prob of sequence ayxa when four letters picked without replacement from {h: 1, d: 2, r: 6, a: 7, x: 2, y: 1}. 7/7752 What is prob of sequence no when two letters picked without replacement from {n: 7, o: 1}? 1/8 Calculate prob of sequence ij when two letters picked without replacement from kjjjjjjjjikkjkkjj. 11/272 Four letters picked without replacement from {u: 9, n: 5}. What is prob of sequence unnn? 45/2002 What is prob of sequence rdjd when four letters picked without replacement from drdrdjrrhadhrjaddeh? 25/7752 Four letters picked without replacement from {h: 1, j: 6, z: 6, t: 5, d: 1}. Give prob of sequence dtjz. 5/2584 Two letters picked without replacement from vdgvvqvgq. What is prob of sequence vg? 1/9 Two letters picked without replacement from {f: 1, p: 7, m: 5, j: 6}. Give prob of sequence fp. 7/342 Four letters picked without replacement from {t: 6, o: 7}. Give prob of sequence oott. 21/286 Calculate prob of sequence mx when two letters picked without replacement from jxmmm. 3/20 What is prob of sequence dmy when three letters picked without replacement from {d: 1, q: 3, c: 3, m: 2, y: 1}? 1/360 What is prob of sequence pw when two letters picked without replacement from pwpwwwwwipwpiiwiwiw? 20/171 Calculate prob of sequence ce when two letters picked without replacement from ceececiceee. 12/55 Four letters picked without replacement from ixxijvxqjqiqxxxjiixx. What is prob of sequence ivxj? 1/969 Calculate prob of sequence al when two letters picked without replacement from kadzlzslzzaszzazzsz. 1/57 What is prob of sequence rjd when three letters picked without replacement from {j: 4, d: 1, r: 8}? 8/429 Two letters picked without replacement from kla. What is prob of sequence al? 1/6 Three letters picked without replacement from seyeuyyoyeuyueyusy. What is prob of sequence oys? 7/2448 Two letters picked without replacement from {y: 4, z: 1, o: 2}. Give prob of sequence yo. 4/21 Four letters picked without replacement from lmivmvvmllmml. What is prob of sequence lmml? 2/143 Three letters picked without replacement from whrwirrwrwwwrf. Give prob of sequence wfw. 5/364 Two letters picked without replacement from {r: 4, x: 1, y: 2, i: 1, j: 1, q: 3}. What is prob of sequence rj? 1/33 Three letters picked without replacement from hxsqsksxsqdh. What is prob of sequence qsk? 1/165 Four letters picked without replacement from {z: 1, j: 6, t: 2, u: 9}. Give prob of sequence utzz. 0 Three letters picked without replacement from {n: 2, l: 2, e: 4}. Give prob of sequence lle. 1/42 Two letters picked without replacement from {m: 2, w: 1, a: 1, n: 2, v: 1}. What is prob of sequence aw? 1/42 What is prob of sequence pp when two letters picked without replacement from {f: 3, p: 5, y: 3}? 2/11 Two letters picked without replacement from qqqqqquqqqqqqqq. Give prob of sequence uq. 1/15 Calculate prob of sequence gfa when three letters picked without replacement from kakakfagskg. 1/165 Calculate prob of sequence rj when two letters picked without replacement from titiijiitrtriiriirit. 1/95 Calculate prob of sequence uaiu when four letters picked without replacement from {q: 1, a: 7, z: 4, i: 6, u: 2}. 7/9690 Calculate prob of sequence chbq when four letters picked without replacement from ghhcbzgchgqh. 1/1485 Three letters picked without replacement from {h: 2, n: 4, r: 2}. What is prob of sequence hnn? 1/14 Three letters picked without replacement from ggdgbggddgggd. What is prob of sequence ggg? 28/143 What is prob of sequence do when two letters picked without replacement from hhdoddnnodhdddd? 8/105 Calculate prob of sequence glq when three letters picked without replacement from lfqkgdg. 1/105 Calculate prob of sequence jdn when three letters picked without replacement from jdnvm. 1/60 What is prob of sequence rr when two letters picked without replacement from {e: 9, r: 3}? 1/22 Three letters picked without replacement from gwtowsg. What is prob of sequence gws? 2/105 Four letters picked without replacement from {f: 1, w: 4, j: 1, h: 2, p: 3}. Give prob of sequence hwjh. 1/990 Three letters picked without replacement from nnctxhi. Give prob of sequence xnt. 1/105 Two letters picked without replacement from {f: 1, r: 3, q: 2, u: 1}. What is prob of sequence qr? 1/7 What is prob of sequence hff when three letters picked without replacement from {x: 2, l: 3, c: 1, f: 3, w: 1, h: 1}? 1/165 Three letters picked without replacement from {z: 1, x: 4, d: 2, a: 3, o: 1, e: 1}. Give prob of sequence dxz. 1/165 What is prob of sequence oc when two letters picked without replacement from {c: 7, s: 1, u: 3, e: 3, o: 2, t: 3}? 7/171 Calculate prob of sequence pjj when three letters picked without replacement from {y: 5, j: 8, z: 2, p: 1}. 1/60 What is prob of sequence tcc when three letters picked without replacement from {t: 1, a: 2, c: 7}? 7/120 Two letters picked without replacement from {j: 8, q: 3}. Give prob of sequence qq. 3/55 Calculate prob of sequence aa when two letters picked without replacement from aaaaaa. 1 What is prob of sequence ylp when three letters picked without replacement from {k: 10, v: 2, l: 3, p: 1, y: 3}? 1/646 Two letters picked without replacement from {c: 4, v: 3, j: 1, p: 5, x: 3, b: 4}. Give prob of sequence pj. 1/76 Calculate prob of sequence zhy when three letters picked without replacement from {y: 1, h: 1, z: 1,
{ "pile_set_name": "DM Mathematics" }
+ 2. Let p = 3 + -2. Let z(g) = -g**2 - g - 1. Calculate p*z(t) + v*d(t). 2*t**2 + 1 Let l(n) = -6*n**2 + 5*n + 2. Let c(m) = -17*m**2 + 14*m + 5. Determine 3*c(y) - 8*l(y). -3*y**2 + 2*y - 1 Let y(n) be the third derivative of n**3/6 - 26*n**2. Let p(g) = -5*g**2 + 4. What is -p(t) + 4*y(t)? 5*t**2 Let a be (-1 + 1)*(0 - 1). Suppose -g + a - 2 = 0. Let r(x) = -x**3 + 2*x**2 - 2. Let j(s) = -2*s**3 + 5*s**2 + s - 4. Give g*j(b) + 5*r(b). -b**3 - 2*b - 2 Let n(c) = -13*c**3 + 26*c + 26. Let m(z) = z**3 - z - 1. Calculate 26*m(w) + n(w). 13*w**3 Let q(m) = 17*m - 7*m - 11*m. Let s(g) = -2*g**2 - 4*g + 1. Give -4*q(f) + s(f). -2*f**2 + 1 Let k(t) = -t - 4. Let l(g) = 3*g - 19 - 6*g + 6. Let o be (-4 + 5)*3 + 4. What is o*k(v) - 2*l(v)? -v - 2 Suppose 24 = -10*n + 4*n. Let c(s) = s**3 + s**2 + 1. Let m(h) = -6*h**3 - 3*h**2 + 2*h - 4. Determine n*c(u) - m(u). 2*u**3 - u**2 - 2*u Let h(n) = -n**2 + 6*n + 6. Let b(w) = -w**3 + 7*w**2 - w + 1. Let a be b(7). Let g(k) = -2*k**2 + 11*k + 11. Determine a*g(d) + 11*h(d). d**2 Let f(d) = -9*d**3 + 6*d**2 - 8*d. Let p(q) = 26*q**3 - 17*q**2 + 23*q. Give 17*f(w) + 6*p(w). 3*w**3 + 2*w Let t(y) = -1. Let o(q) = q + 4. Let f(c) = -o(c) - 4*t(c). Let g(k) = 2*k - 6*k + k. What is -14*f(z) + 4*g(z)? 2*z Let u(p) = 2*p**3 - 3*p + 4. Let n(h) = 13*h**3 - 17*h + 17. Let f(t) = -3*t**3 + 4*t - 4. Let k(l) = -9*f(l) - 2*n(l). Calculate 7*k(m) - 4*u(m). -m**3 - 2*m - 2 Let w(y) = y + 16. Let r(h) = 2*h + 40. Calculate -5*r(c) + 12*w(c). 2*c - 8 Let a(s) = -7*s**3 - 5*s**2 - 4*s + 5. Let u(y) be the third derivative of -y**6/40 - y**5/30 - y**4/12 + y**3/3 - 8*y**2. Give -2*a(b) + 5*u(b). -b**3 - 2*b Let j(d) = -11*d**2 - 8*d + 2. Let z(q) = -10*q**2 - 7*q + 2. Determine 5*j(f) - 6*z(f). 5*f**2 + 2*f - 2 Let y(i) = 3*i**3 + 5*i**2 + 97. Let w(r) = 5*r**3 + 8*r**2 + 146. Determine 5*w(h) - 8*y(h). h**3 - 46 Let h(v) = -v**3 + 5*v**2 + 6*v + 3. Let r(l) = -2*l**3 + 6*l**2 + 7*l + 4. Determine 4*h(o) - 3*r(o). 2*o**3 + 2*o**2 + 3*o Let l(r) = -7*r**2 + 2*r + 4. Let z(d) = 22*d**2 - 5*d - 11. What is 11*l(x) + 4*z(x)? 11*x**2 + 2*x Let d(b) = 3*b - 3. Let k = 0 - 4. Let s(a) = -7*a + 7. What is k*s(x) - 9*d(x)? x - 1 Let u(c) = 5*c**2 + 6*c - 3. Let m = -4 + 7. Let i(x) = 8*x**2 + x + 2. Let w(o) = o**2 - o + 1. Let y(g) = i(g) - 4*w(g). Give m*u(a) - 4*y(a). -a**2 - 2*a - 1 Let u(h) be the third derivative of 0 + 0*h**4 + 0*h - 1/15*h**6 + 1/15*h**5 - h**2 + 1/3*h**3. Let a(m) = 23*m**3 - 11*m**2 - 6. Calculate 6*a(l) + 17*u(l). 2*l**3 + 2*l**2 - 2 Let a = 71 - 78. Let t(m) = -m - 6. Let g(v) = -3*v - 13. Calculate a*t(w) + 3*g(w). -2*w + 3 Let l(o) = -11*o**3 - 4*o**2 + 3*o - 1. Let c(a) = -a**3 + a**2 - a. Determine -4*c(v) - l(v). 15*v**3 + v + 1 Let j be (-2)/(-4) + (-11)/(-2). Let n(a) = -2*a**2 + 5*a - 6. Suppose 0*v - 35 = -3*v - 4*u, -u = -v. Let b(l) = -v*l + 1 + 0*l + 4*l. Calculate j*b(t) + n(t). -2*t**2 - t Let m(f) = 3*f - 3. Let x(k) = -3*k + 2. Calculate -3*m(s) - 4*x(s). 3*s + 1 Let f(w) be the second derivative of -4*w**2 + 3/10*w**5 + 0 + 2*w + 4/3*w**3 + 2/3*w**4. Let r(n) = -2*n**3 - 3*n**2 - 3*n + 3. What is -3*f(x) - 8*r(x)? -2*x**3 Let c(v) = -23*v**3 + 17*v**2 + 17. Let w(f) = -8*f**3 + 6*f**2 + 6. Let r(h) = 0*h + 3*h - 5*h + 3*h. Let b be r(6). What is b*c(g) - 17*w(g)? -2*g**3 Suppose 2*a + 2*p + 18 = 7*p, -5*p + 20 = 0. Let y = a - -2. Let k(f) = f + 1. Let g(r) = r**2 + 5*r + 5. Determine y*k(h) - g(h). -h**2 - 2*h - 2 Let q(d) = -d**2 - 4*d + 4. Let n = 104 + -131. Let b(j) = 6*j**2 + 27*j - 27. Calculate n*q(f) - 4*b(f). 3*f**2 Let p(u) = 10*u**2 + 5*u + 5. Let h(i) = -2*i**2 + i + 1. Let o(m) = 3*m**2 - m - 1. Let l(q) = 4*h(q) + 3*o(q). What is -5*l(f) + p(f)? 5*f**2 Let f(k) = -k**3 + k**2 - 1. Let j(x) = -2*x**3 + 7*x**2 - 6. Calculate -6*f(u) + j(u). 4*u**3 + u**2 Let q be ((-7)/14*-2)/((-1)/(-2)). Let s(h) be the third derivative of 5/6*h**3 + 1/8*h**4 + h**q + 0*h + 0. Let o(n) = -n - 1. Determine -4*o(p) - s(p). p - 1 Let m(w) = 4*w**3 - 3*w**2 - 3*w + 3. Let v = 230 - 240. Let p(h) = h**2 - 7*h + 4. Let b be p(5). Let z(q) = -7*q**3 + 5*q**2 + 5*q - 5. Give b*z(j) + v*m(j). 2*j**3 Let w(f) = 2*f**3 - f**2 + f - 1. Let v(n) = -n + 1. What is -2*v(a) - 2*w(a)? -4*a**3 + 2*a**2 Let n(q) = q + 0*q - 1 - 3*q**2 + 2*q**2. Let j(d) be the first derivative of 2*d**3 - 7*d**2/2 + 3*d + 7. What is -j(h) - 5*n(h)? -h**2 + 2*h + 2 Let p(g) = g**2 + g + 1. Let l(t) be the second derivative of -t**4/6 + t**3/3 + t**2 - t - 4. What is l(m) - 2*p(m)? -4*m**2 Let u(r) = 9*r**3 + 4*r**2 + 5*r + 1. Let m(l) = l - 5. Let h be m(7). Let o(t) = h*t**2 - 4*t**2 - 2*t + t**3 - 5*t**3. Determine -5*o(x) - 2*u(x). 2*x**3 + 2*x**2 - 2 Let z(l) = 3*l + 12. Let a(r) = r + 3. Let p(t) = -9*a(t) + 2*z(t). Let b = 3 - 0. Let y(c) = 3 + 2*c + b - 4. Give -4*p(k) - 5*y(k). 2*k + 2 Let n = -21 + 22. Let t(q) = -q. Let m(f) be the second derivative of 5*f**3/6 - f**2 - f. Give n*m(b) + 6*t(b). -b - 2 Let q(k) = 31*k**3 + 7*k**2 + 5*k. Let j(z) = -15*z**3 - 3*z**2 - 2*z. Give -5*j(w) - 2*q(w). 13*w**3 + w**2 Let g(u) = -u**3 - 7. Suppose -4*l = -4*w + 8, 2*l + 2*l = w - 23. Let d(j) = 1. Let p(t) = -1. Let f(r) = -2*d(r) + p(r). Give l*f(i) + 3*g(i). -3*i**3 Let n(v) = -2*v - 3. Let m(u) = -u - 1. Give 4*m(y) - n(y). -2*y - 1 Let o be 4/1 - (-1 + 3). Let q(d) = 11*d**3 - 5*d - 5. Let x(m) = 0*m - 2*m + 133 - 135 + 5*m**3. Calculate o*q(g) - 5*x(g). -3*g**3 Let a be 92/12 + (-4)/6. Let d(w) = w**2 + 7*w + 7. Let b be (-12)/(-14)*(8 - 1). Let r(p) = -p**2 - 6*p - 6. Calculate a*r(z) + b*d(z). -z**2 Let j(t) = 3*t**2 + 3 - 2*t**3 + 2*t**3 + 3*t**3 + 0*t**2. Let x be 27/3*(-3)/9. Let p(v) = -v**2 - 1. Calculate x*p(s) - j(s). -3*s**3 Let h = 16 + -25. Let g(f) = 2*f**3 + 11*f**2 - 4*f + 9. Let q(s) = s - 1. Let r be q(5). Let p(o) = o**3 + 5*o**2 - 2*o + 4. Give h*p(i) + r*g(i). -i**3 - i**2 + 2*i Suppose 4*r = 11 + 5. Suppose 3*h = -4*y - 29, -5*h - 4*y = -y + 41. Let v(p) = -p**2 + 2*p + 5. Let z(u) = -2*u**2 + 3*u + 9. Determine h*v(t) + r*z(t). -t**2 - 2*t + 1 Let l(z) = 3*z**3 - z**2 - 5. Let k(m) = 7*m - 1. Let x be k(1). Let s(d) = 4*d**3 - d**2 - 6. Calculate x*l(f) - 5*s(f). -2*f**3 - f**2 Let o(p) = 6*p**2 - 6. Let b(f) = 11*f**2 - 11. Determine -3*b(r) + 5*o(r). -3*r**2 + 3 Let o(y) = -14*y**2 + 14*y - 5. Let n(b) = 5*b**2 - 5*b + 2. Give 8*n(x) + 3*o(x). -2*x**2 + 2*x + 1 Let v(z) = -z + 2. Let c(d) = -4*d + 6. Give 4*c(l) - 14*v(l). -2*l - 4 Let d = -31 - -22. Let q(v) = 11*v**2 + 11*v + 9. Let o(r) = -5 + 2 - 4 - 5*r + 3 - 5*r**2. Determine d*o(z) - 4*q(z). z**2 + z Let s(q) = 14*q**2 + 5*q - 11. Let v(u) = 2*u**2 - 3*u + 2. Let c be v(2). Let n(r) = 5*r**2 + 2*r - 4. What is c*s(i) - 11*n(i)? i**2 - 2*i Let y(k) = -11*k**3 + 26*k**2 - 8*k + 2. Let z(o) = -4*o**3 + 9*o**2 - 3*o + 1. Calculate -3*y(f) + 8*z(f). f**3 - 6*f**2 + 2 Suppose -2*u - c = 4 + 2, 4*c + 17 = -u. Let z(m) be the third derivative of m**4/24 + 3*m**2. Let k(l) = -2*l**2 - 3*l. What is u*k(r) - 2*z(r)? 2*r**2 + r Let v(j) = 1. Let y(x) = 2*x - 4. Suppose 3*r + 1 = 7. Let t be (3/r)/(1/(-2)). Determine t*v(i) - y(i). -2*i + 1 Let g(w) = w + 1. Suppose -2*r = -4*r - 4. Let s(y) = -y**2 + 2*y + 2. What is r*g(b) + s(b)? -b**2 Let q(b) = -13*b + 2. Let g(j) be the first derivative of 3*j**5/40 - j**4/24 - 8*j**3/3 - 6. Let c(y) be the third derivative of g(y). Give 7*c(w) + 5*q(w). -2*w + 3 Let m(d) = 21*d**2 + 9*d - 5. Let h(f) = -31*f**2 - 13*f + 7. What is 5*h(s) + 7*m(s)? -8*s**2 - 2*s Let f(o) = 22*o**3 + 10*o**2 - 12. Let q(r) = -9*r**3 - 4*r**2 + 5. Determine -5*f(u) - 12*q(u). -2*u**3 - 2*u**2 Let w(p) be the third derivative of p**4/4 - 5*p**3/6 - 2*p**2. Let c(l) = 29*l - 4 - 14*l - 10*l. Give -4*c(q) + 3*w(q). -2*q + 1 Let w(v) = -v. Let u(b) = -4*b - 12. Calculate u(n) - 2*w(n). -2*n - 12 Let m(n) = 5*n - 2. Let b be m(1). Let k(d) = -d**3 + 5*d**2 - 3*d. Let q(y) = -2*y**3 + 6*y**2 - 4*y. Give b*q(g) - 4*k(g). -2*g**3 - 2*g**2 Let u(m) = -3*m - 2. Let a(z) = -1 - 9*z - 2 + 0 - 4. What is -2*a(i) + 7*u(i)? -3*i Let x(b) = -b + 3 - 3 - 1. Let a(z) = z**2 + 2*z + 2. Suppose 5 = 4*d + 9. Determine d*a(p) - 2*x(p). -p**2 Let g(o) = -6*o**2 + 4. Let y(t) = -12*t**2 - t. Let m be y(1). Let x = -17 - m. Let s(r) = -7*r**2 + 5. Determ
{ "pile_set_name": "DM Mathematics" }
)*n**(-2/3))**47 assuming n is positive. n**(-2911/285) Simplify (f**10/f*(f*f/f**(-2/5))/f)**15/((f*f**(5/2))/f*f/(f*(f/((f**(-1/14)/f)/f))/f)*f*f**(-7)*f*f*f**(-3)) assuming f is positive. f**(1138/7) Simplify (q**3/q*q**1*q**(-3)*q*q*(q**4/q)/q)/(q**0/q*q/((q/q**(-3/5))/q*q))**3 assuming q is positive. q**(44/5) Simplify (((x/(x/x**(-5/2)*x))/x)/x**(-1/4))/((x/(x*x**(-1/3)))/(x*x/((x**(-3)/x)/x)))*(x/x**(-1/2))**43*x**(-2)*x*x**(2/7)*x assuming x is positive. x**(5645/84) Simplify (s**(-1/2)/s*(s*((s*s/s**(-3))/s)/s)/s*s)/((s*s/(((s**4*s)/s)/s))/((s**(-4/3)*s)/s))*(s**(-3/4)*s**(1/7))**(-45) assuming s is positive. s**(2477/84) Simplify (((f/(f*f**(-1/4))*f)/f**(12/11))/(f*f**(-17)*(f/(f/f**(-15)))/f))**(-2/31) assuming f is positive. f**(-1415/682) Simplify k*(k**(-8)/k)/k*k**(-4)*k**(-1/8)*k*k**2*k*(k/(k*k*k/(k/(k**(1/3)*k))*k))/k**6*(k/k**(-1))**(2/173) assuming k is positive. k**(-76543/4152) Simplify ((n/n**5*n)**(-16)/(n**(-2/15))**(-10/17))**(-3/40) assuming n is positive. n**(-611/170) Simplify (t**(-5)/((t/t**(-1/5))/t))**(-27)/((t**(-1/9)*t)/(t**(-8)*t))**(-22) assuming t is positive. t**(14128/45) Simplify ((r*r**(-16))/(r/r**24)*(((r*r**(-1/5)/r)/r)/r)**(5/4))**(-3/11) assuming r is positive. r**(-63/44) Simplify ((x/x**43)/x*x**4)/(x*x**(-1/3)*x**(-1/68)) assuming x is positive. x**(-8089/204) Simplify (k**4*k*(k**(2/7)*k)/k)/(k**(-7)/(k/(k*k**(-4))*k))*((k*k*k**(-1)*k)/k**(7/3))**(-47) assuming k is positive. k**(692/21) Simplify ((((r/(r*r/r**3*r))/r*r*r**(4/3)*r)**(-8))**(-25))**(-1/23) assuming r is positive. r**(-2000/69) Simplify ((p**(-2))**(1/74))**31*(p**(1/3)/p**(9/2))**(-2/33) assuming p is positive. p**(-2144/3663) Simplify (y/(y*(y/y**43)/y*y*y)*y)/(y*y**9)*(y/y**(-6/17))/y**(-19) assuming y is positive. y**(890/17) Simplify ((b**13*b*b**(-3/8))**(-4/33))**11 assuming b is positive. b**(-109/6) Simplify ((((h**(-3)*h)/h)/h*h**(-6))/((h/(h*h**1/h))/h)**1)/(h**2*h*h*h**(-6)*h**2/((h*h/(h/(h*h/((h/(h/((h*h**4)/h)))/h)))*h)/h)) assuming h is positive. h**(-9) Simplify (((l*(l*l*l**12/l)/l*l**(-7/2))**(-3/11))**(-14))**(1/11) assuming l is positive. l**(399/121) Simplify q/(q**(-5)*q)*q**(-7)*(q/(q*q*q**(-1/8))*q)/((q**(-8)/q*q*q*q)/q)*(q**(1/4)/(q/q**7))/(q**0/(q**3*q)) assuming q is positive. q**(123/8) Simplify (o*o*o**7*o**(-1/3)/o*o*o*o**(2/7)*o*o*o*o**(-1)*o)/((o**(1/5))**(-4/5)/(o**(3/4)/(o/(o*o/(o**(-2/11)/o)*o)*o))) assuming o is positive. o**(370621/23100) Simplify (a**30/a**(-2/61))/(a**(-3/8)*a/a**(-5)*a*a) assuming a is positive. a**(10935/488) Simplify ((f/((((f/(f/(f*f*f*(f**1/f)/f*f))*f)/f)/f*f)/f)*f)/((f**(1/9)/f)/f))**(-4/31)/((f*f**0)**(1/3))**20 assuming f is positive. f**(-1928/279) Simplify ((((n**2*n)/n)**(-4)/(n**(1/4))**(-1/15))**47)**(3/7) assuming n is positive. n**(-22513/140) Simplify (((o**1)**(1/16)/(o**(-3)*(o**10*o)/o*o))**(1/9))**7 assuming o is positive. o**(-889/144) Simplify ((i*(i/(i*i**27)*i*i*i)/i)**0/(i*(i**(-18/5)*i)/i*i**(-3/2)))**49 assuming i is positive. i**(2009/10) Simplify ((m**(-3/4)/m)/(m/m**(-4)))**(7/5)/((m/(m/(m/(m*m**(-6)))*m))/(((m**5/m)/m)/m))**(-3/16) assuming m is positive. m**(-711/80) Simplify (r/(r**(1/5)/r)*r/(r/((r/(r/r**4))/r)))**(-38)/((r**(-2))**(-17))**(-2/11) assuming r is positive. r**(-9692/55) Simplify (l**(-43)*l/(l**38/l))/(l**(-39)*l**(-12)) assuming l is positive. l**(-28) Simplify (o**(8/3)*o*o/((o**11/o)/o)*(o**2*o*o)**(-2))**(-4/9) assuming o is positive. o**(148/27) Simplify ((((l**7/l)/l*l)/((l/(((l*l**(-5))/l)/l))/l))/((l/l**(-2/3))/((l*(l/(l/(l*l**8)))/l*l)/l)))/(l**(-5/6)/l*l**(-2/9))**(-32) assuming l is positive. l**(-526/9) Simplify ((p/(((p*p**14*p)/p)/p)*p)/(p/(p/(p*(p*(p*p**4*p)/p)/p*p)*p)))**8/((p**(-3/4))**(-2/27))**11 assuming p is positive. p**(-2603/18) Simplify (g*g**(-3/5))/(g*g**(2/9))*((g/g**(-2))/g)/g**(-7)*((g/((g**(-3/4)/g)/g))**3)**(-3/19) assuming g is positive. g**(21893/3420) Simplify i**(-4/9)*i/(i*i*i*i/(((i/(i/i**(-24)))/i)/i))*((i/i**(1/8))/i*i)**(-2/71) assuming i is positive. i**(-75323/2556) Simplify ((q**(1/2)*q)**12/((q/(q*q**(-2)/q*q*q)*q*q)/((q*q**1)/q)))/((q**1)**(2/7)/((q*q/(q*q**1)*q)/q*q**(-1/6)*q)) assuming q is positive. q**(695/42) Simplify (((r/(r**4/r*r))/r)/r**(-2))/(r/r**1*r*r/(r**(3/4)*r)*r)*(r**2*r/r**(2/7)*r*r)**(-6/17) assuming r is positive. r**(-2339/476) Simplify ((((x/x**(2/9))/x)/x)/x*x*x**(2/11)*x)**(-41)*(x**0)**(1/15)/(x**0)**(-4/13) assuming x is positive. x**(164/99) Simplify ((n*n/n**(2/3))**(2/115)/(n**(-13)*n**4))**9 assuming n is positive. n**(9339/115) Simplify (h*h**(2/79))/(h*h/(h*h*h**39))*h/(h/(h/(h/(h**(-41)/h*h))))*h*h/h**(-14) assuming h is positive. h**(1187/79) Simplify ((x*x**3)/((x/(x*x/(x*x**(-1))*x))/x))/((x*x**(-1))/(x/x**(-6)))*(x*x/(x/(x/x**(3/7)))*x*x**7*x)**(6/5) assuming x is positive. x**(934/35) Simplify (l**(4/7)/l*l**(-2/9)/l*(l/l**(-3/8))/l*l*l**(-7))/(l/(l**(2/5)/l)*l*l*l**(1/8))**(15/11) assuming l is positive. l**(-34249/2772) Simplify ((m**(-28))**(-40)/(m*m/(m/((m*m*m**(-11/9))/m))*m)**13)**(-41) assuming m is positive. m**(-404752/9) Simplify (b**(-2/7)/((b**0/b)/b))/(b/b**(-2/15)*(b*b/b**(-4)*b)/b)*((b**(-1)*b)/b**(-3/4))**(-2/13) assuming b is positive. b**(-15109/2730) Simplify (w*w**4*w*w*w**(-1/6)/w*w)/(w**6/((w/w**2)/w))*(w*w**(-8)*w*w*w*(w*w**5)/w*w)/((w/(w/w**(-9)))/w*w**(-4)*w) assuming w is positive. w**(83/6) Simplify (((h**(1/6)/(h**5*h))**(-2/45))**(-38))**(34/5) assuming h is positive. h**(-9044/135) Simplify ((a**6/a)/(a/(a*(a*a**(1/4))/a))*(a/(a**1*a*a)*a)**(-2))/((a**(3/8)/a*a)/a**(3/2))**(3/10) assuming a is positive. a**(607/80) Simplify ((r**(-1/4))**(-38)/(r**1/r)**(-7/4))/((r**(2/3))**(-8/3))**25 assuming r is positive. r**(971/18) Simplify (v**(-1))**(4/15)/(v**(-1)*v*v*v)**20*(v**(-2/3)/v)**(2/113)*(v*((v*v**(1/2))/v)/v*v*v)/(v*v/v**(-3)) assuming v is positive. v**(-145079/3390) Simplify (i**(6/23)*i)**21/(i/((i**(3/20)*i)/i))**(32/5) assuming i is positive. i**(12097/575) Simplify ((((s/(((s/s**(3/4))/s)/s))/(s*s**(-1/3)/s))/(s*s*s**4/s*s**(-3)*s))**(-37))**(-23/5) assuming s is positive. s**(851/60) Simplify (d/(d*d/((d/((d**(10/9)/d*d)/d))/d*d))*d*d*(d*(d*d**(-7))/d)/d*d*(d*d**6*d)/d**(-2/11))**41 assuming d is positive. d**(16523/99) Simplify u**(5/4)*u**0*((u/(u*u*u**(3/4)))/u)/u**2*(u**(-4)*u/u**(-11))**(-6/11) assuming u is positive. u**(-173/22) Simplify ((c/c**(2/7))/c*c**(3/14)*(c/c**(-2/17))/c**(-12/5))**(8/11) assuming c is positive. c**(16404/6545) Simplify ((a/(a*(a/(a*a*a/(a/(a**(-1/10)*a))))/a)*a**(-2/3)*a)/(a**1)**(13/3))/((a**(-2/5))**(-31/4))**(12/7) assuming a is positive. a**(-449/70) Simplify (d/((d/d**(-1/4))/d))**(-4/11)/(d**(-6)/(d*d**(2/5)))*(d**4/d)/d**3*d**(-1)*d*d**(-1) assuming d is positive. d**(337/55) Simplify ((d/(d/(d/(d*d/d**(-2/53)))))/((d*d**(-6/13))/d))**(-50)/(((d/d**5)/d)**(-1/12))**21 assuming d is positive. d**(55285/2756) Simplify ((w/w**(5/11)*w)/(w**(-9/5)*w)*(w**(-7))**(-10))**(-7/10) assuming w is positive. w**(-27853/550) Simplify (t**(-28)/t**14*t**29*t**4)**(-8/11) assuming t is positive. t**(72/11) Simplify (m**(-25)/m**(2/43)*((m*m/m**(2/9)*m*m)/m)/m**6)**15 assuming m is positive. m**(-54700/129) Simplify ((j**(-4)/j**7*j/j**(-1/4)*j/(j*j*j**(-2/7)*j))**10)**(2/15) assuming j is positive. j**(-107/7) Simplify f/(f/(f/(f**(-6)/f)))*f/(f/(f**(-2)*f))*f*(f/(f**(2/7)/f)*f*f)**47*((f/(f/f**(-2/17)))/(f/f**(-8)))**6 assuming f is positive. f**(15216/119) Simplify (((g**(-2)*g)/g)**(-3/14)/(g**1/g*g**(2/11)))/((g/g**9*g)/(g**6/g))**(1/33) assuming g is positive. g**(47/77) Simplify ((r**(-2/25)/r)/(r*r*r**(2/5)*r*r))**(-29)*((r/((r**(-1/6)/r)/r))/r**(-4))**32 assuming r is positive. r**(29119/75) Simplify ((v*v*v**(-2)*v)**(6/5))**50*(v*(v*(v**(-2/5)*v)/v)/v*v)**10/(v**(1/3))**12 assuming v is positive. v**72 Simplify (j**(-3/14)*j)**(8/7)/(j*j/((j*j/(j*j/j**(14/13)*j)*j)/j)*j**(-4/17)) assuming j is positive. j**(-8553/10829) Simplify (((k/k**(1/2)*k**11*k)/(k*k**(-9)*k*k**(-4)))**(5/2))**34 assuming k is positive. k**(3995/2) Simplify (d**(-8)*d**(-4/3))**(-32)*(d/(d/(d*d/d**(3/8)))*d**8)/(d**(-1/3))**(-6/13) assuming d is positive. d**(96139/312) Simplify (z/z**7)**(-1/12)*(z**(-24)*z)/z**(-7/6) assuming z is positive. z**(-64/3) Simplify ((y**0/(y*y**(-3/8)))/(y/(y*y
{ "pile_set_name": "DM Mathematics" }
5446*t/5 - 65299592/3 = 0. Calculate t. -2857, 20 Factor -4*i**2 - 19872*i + 119376. -4*(i - 6)*(i + 4974) What is p in -25*p**5 + 3490*p**4 - 18325*p**3 - 57940*p**2 - 46820*p - 10720 = 0? -1, -2/5, 8, 134 Solve j**3/10 + 349*j**2/10 + 17696*j/5 + 411906/5 = 0 for j. -158, -33 Factor -27*v**3 + 8152*v**2/3 - 207700*v/3 + 130000/3. -(v - 50)**2*(81*v - 52)/3 Suppose 3*u**3/2 - 645*u**2/2 - 9039*u + 9360 = 0. What is u? -26, 1, 240 Find f such that 3*f**2/7 + 450*f/7 - 15573/7 = 0. -179, 29 Factor -5*m**3 + 4940*m**2 + 19840*m. -5*m*(m - 992)*(m + 4) Let b**2/2 + 44999*b + 89996 = 0. What is b? -89996, -2 Determine h so that 4*h**5 - 30812*h**4 + 59289972*h**3 + 178085660*h**2 + 118764872*h = 0. -2, -1, 0, 3853 Suppose -15*m**4 - 995*m**3 + 4905*m**2 - 4645*m - 2130 = 0. Calculate m. -71, -1/3, 2, 3 Factor -4*p**3 + 23344*p**2 - 34035540*p - 68164488. -4*(p - 2919)**2*(p + 2) Factor -3*u**2 - 3021*u - 93600. -3*(u + 32)*(u + 975) Factor -4*r**3 - 360*r**2 + 25756*r. -4*r*(r - 47)*(r + 137) Find s such that 5*s**2 - 56560*s - 113140 = 0. -2, 11314 Determine b, given that 3*b**2/7 + 189*b + 12930/7 = 0. -431, -10 Let 3*d**2 + 201192*d + 3373185072 = 0. Calculate d. -33532 Factor -z**3/4 - 5275*z**2/4 - 1741078*z - 5211372. -(z + 3)*(z + 2636)**2/4 Determine v so that -v**2/5 + 227*v + 25454/5 = 0. -22, 1157 Solve -76*m**3/7 + 1454*m**2/7 - 124*m/7 - 1254/7 = 0. -33/38, 1, 19 Factor z**3 + 153*z**2 + 734*z - 888. (z - 1)*(z + 6)*(z + 148) Let -16*i**2 + 93058*i - 11632 = 0. What is i? 1/8, 5816 Find w such that 3*w**2 - 105756*w + 422976 = 0. 4, 35248 Determine t, given that -2*t**3/7 - 54*t**2/7 + 204864*t/7 - 23479808/7 = 0. -379, 176 Determine k so that -2*k**4/3 + 153628*k**3/3 + 153632*k**2 + 460900*k/3 + 153634/3 = 0. -1, 76817 Factor 2*t**3/13 - 562*t**2/13 + 5468*t/13 - 13008/13. 2*(t - 271)*(t - 6)*(t - 4)/13 Solve 169*p**4/4 - 711308*p**3 + 2993731222*p**2 + 921198576*p + 70862724 = 0 for p. -2/13, 8418 Factor -3*g**4 - 108*g**3 - 816*g**2 - 720*g + 5616. -3*(g - 2)*(g + 6)**2*(g + 26) Factor -4*f**3 + 2232*f**2 - 15476*f + 26448. -4*(f - 551)*(f - 4)*(f - 3) Factor -5*m**2 + 71000*m + 710500. -5*(m - 14210)*(m + 10) Factor 2*m**3/5 - 2444*m**2/5 - 348744*m/5 - 11796048/5. 2*(m - 1354)*(m + 66)**2/5 Determine h, given that 2*h**2 - 1432*h + 254016 = 0. 324, 392 Suppose -10*f**5 - 1032*f**4 - 206*f**3 = 0. What is f? -103, -1/5, 0 Find s such that -s**4/6 + 48*s**3 - 10789*s**2/3 + 20116*s - 33135/2 = 0. 1, 5, 141 Factor -2*b**2/9 + 19844*b/9 - 46270/3. -2*(b - 9915)*(b - 7)/9 Find z such that 3*z**4/5 - 36*z**3 + 981*z**2/5 - 456*z/5 - 324 = 0. -1, 2, 5, 54 Factor l**5/5 + 1208*l**4/5 + 7221*l**3/5 + 10818*l**2/5. l**2*(l + 3)**2*(l + 1202)/5 Let t**4 + 14952*t**3 - 59820*t**2 + 59824*t = 0. Calculate t. -14956, 0, 2 Factor 2662*d**4/17 - 33396*d**3 + 41432160*d**2/17 - 1106681600*d/17 + 5267712000/17. 2*(d - 6)*(11*d - 760)**3/17 Suppose l**4/2 + 566*l**3 - 2275*l**2/2 - 3971*l - 2268 = 0. What is l? -1134, -1, 4 Factor 2083*z**3/2 + 43753*z**2 + 919443*z/2 + 4410. (z + 21)**2*(2083*z + 20)/2 Suppose -2*n**5/3 + 34*n**4/3 - 42*n**3 - 346*n**2/3 + 1376*n/3 + 840 = 0. Calculate n. -2, 5, 7, 9 Let -3*a**4 - 93*a**3 + 1035*a**2 - 1779*a + 840 = 0. Calculate a. -40, 1, 7 Factor -g**3/2 + 525*g**2/2 + 1058*g. -g*(g - 529)*(g + 4)/2 Factor d**3/2 + 257*d**2 + 3541*d/2 - 2028. (d - 1)*(d + 8)*(d + 507)/2 Factor -2*g**3 - 2602*g**2 - 10384*g - 10376. -2*(g + 2)**2*(g + 1297) Find h such that 4*h**5/3 - 212*h**4/3 - 944*h**3 + 106560*h**2 - 1612800*h + 2808000 = 0. -39, 2, 30 Factor 287*m**2/2 + 412*m + 106. (7*m + 2)*(41*m + 106)/2 Let g**4/3 + 22*g**3/3 + 61*g**2/3 - 76*g - 180 = 0. Calculate g. -18, -5, -2, 3 Factor -68*h**3/3 + 166*h**2/3 + 370*h. -2*h*(h + 3)*(34*h - 185)/3 Factor 2*i**3/13 + 66*i**2/13 + 414*i/13 + 350/13. 2*(i + 1)*(i + 7)*(i + 25)/13 Let -4*u**3 + 7232*u**2 - 3232404*u - 33051240 = 0. Calculate u. -10, 909 Solve -6*l**3/11 + 996*l**2/11 - 29406*l/11 + 28416/11 = 0 for l. 1, 37, 128 Factor -5*m**2 - 2100*m - 65620. -5*(m + 34)*(m + 386) Let -2*t**2 + 16112*t - 32449568 = 0. Calculate t. 4028 Solve 4*q**2 - 209720*q + 2748904900 = 0. 26215 Determine o, given that -o**2/8 - 32411*o/4 - 1050472921/8 = 0. -32411 Determine n so that n**5/4 - 11*n**4/4 - 95*n**3/4 + 775*n**2/4 + 1397*n/2 + 484 = 0. -8, -2, -1, 11 Factor q**2/3 - 137780*q/3 + 4745832100/3. (q - 68890)**2/3 Factor 2*h**2 + 1594*h - 36036. 2*(h - 22)*(h + 819) Let 55*p**4/6 + 4780*p**3/3 + 150065*p**2/2 + 1474495*p/3 - 275560/3 = 0. What is p? -83, -8, 2/11 Solve -2*p**5/9 + 14*p**4 - 2150*p**3/9 + 1750*p**2/3 + 2152*p/9 - 1792/3 = 0 for p. -1, 1, 3, 28, 32 Factor -t**2/5 - 65589*t/5 - 65584. -(t + 5)*(t + 65584)/5 Let -3*t**2 - 1069665*t + 2139342 = 0. Calculate t. -356557, 2 Factor s**4/4 - 5*s**3 + 37*s**2/2 + 53*s + 117/4. (s - 13)*(s - 9)*(s + 1)**2/4 Let 24*h**5 - 16716*h**4 - 185037*h**3/2 - 102240*h**2 + 139023*h/2 - 9477 = 0. Calculate h. -3, 1/4, 702 What is v in -3*v**2 - 4212*v - 54249 = 0? -1391, -13 Find q, given that 4*q**4/7 + 5800*q**3/7 - 123408*q**2/7 + 229400*q/7 - 111796/7 = 0. -1471, 1, 19 Suppose -11587216*x**2 - 95312*x - 196 = 0. What is x? -7/1702 Suppose -4*w**2 + 2968*w - 243648 = 0. What is w? 94, 648 What is o in -3*o**4 - 882*o**3 - 75279*o**2 - 1536444*o - 9103692 = 0? -134, -13 Factor o**3/5 - 594*o**2/5 + 2363*o/5 - 354. (o - 590)*(o - 3)*(o - 1)/5 Suppose -2*b**4/7 - 30*b**3/7 - 66*b**2/7 + 230*b/7 - 132/7 = 0. Calculate b. -11, -6, 1 Determine j so that -2*j**5/3 + 710*j**4/3 - 698*j**3/3 - 1178*j**2 - 708*j = 0. -1, 0, 3, 354 Let 2*n**2/9 - 220*n/3 + 6048 = 0. What is n? 162, 168 Suppose -5166*o**4 + 1378*o**3 + 5194*o**2 - 1378*o - 28 = 0. Calculate o. -1, -7/369, 2/7, 1 Factor 4*t**2/7 - 3508*t/7 - 1562600/7. 4*(t - 1202)*(t + 325)/7 Factor -9*o**4 - 30741*o**3 - 104980513*o**2/4 + 8750938*o - 729316. -(o + 1708)**2*(6*o - 1)**2/4 Factor 2*p**2/15 + 183156*p/5 + 549466/15. 2*(p + 1)*(p + 274733)/15 Suppose -4*b**4 + 688*b**3 - 12432*b**2 + 41600*b - 38912 = 0. Calculate b. 2, 16, 152 Let -2*g**3/5 - 443032*g**2/5 - 24534669128*g/5 = 0. What is g? -110758, 0 What is h in h**4/3 - 3684*h**3 - 44221*h**2/3 - 11056*h = 0? -3, -1, 0, 11056 What is c in -345*c**4 + 11533*c**3 + 125522*c**2 - 55812*c + 1512 = 0? -9, 2/69, 2/5, 42 Factor 2*a**4/13 - 18166*a**3/13. 2*a**3*(a - 9083)/13 Determine c so that -25*c**5 - 860*c**4 - 6050*c**3 + 11420*c**2 - 4485*c = 0. -23, -13, 0, 3/5, 1 Determine m so that -4*m**3 - 1980*m**2 - 61344*m - 166320 = 0. -462, -30, -3 Suppose -6*c**4/5 + 51996*c**3/5 - 113681808*c**2/5 + 4462350564*c/5 + 4576084374/5 = 0. What is c? -1, 41, 4313 Factor 4*p**2 + 8328*p + 16640. 4*(p + 2)*(p + 2080) Solve -a**2/6 - 13937*a/3 - 194239969/6 = 0 for a. -13937 What is t in 147*t**3/10 + 227969*t**2/10 - 21724*t/5 - 3102 = 0? -1551, -2/7, 10/21 Factor -n**2/3 + 20884*n/3 - 109035364/3. -(n - 10442)**2/3 Factor 2*b**2/3 - 554*b + 39156. 2*(b - 753)*(b - 78)/3 Let g**5/6 - 7*g**4/3 - 43*g**3/3 + 782*g**2/3 - 5315*g/6 + 1925/3 = 0. Calculate g. -11, 1, 5, 14 Let 9*a**5 + 915*a**4 - 7182*a**3 + 1374*a**2 + 7173*a - 2289 = 0. What is a? -109, -1, 1/3, 1, 7 Factor 3*m**3/5 + 7302*m**2/5 + 58272*m/5 + 116448/5. 3*(m + 4)**2*(m + 2426)/5 Find y such that 4*y**3 - 1492*y**2 + 34080*y - 201024 = 0. 12, 349 Find g, given that 20*g**3 - 676*g**2 + 3496*g - 4448 = 0. 2, 4, 139/5 Determine w, given that 4*w**4/9 + 19816*w**3 + 220879044*w**2 = 0. -22293, 0 Let -29*c**2/4 + 785*c/2 - 1500 = 0. Calculate c. 120/29, 50 Factor 5*o**3 - 2137*o**2 - 58036*o + 23556. (o - 453)*(o + 26)*(5*o - 2) Find z such that z**4/5 + 2424*z**3/5 + 292329*z**2 - 1771470*z = 0. -1215, 0, 6 Suppose -2*t**2/3 + 698764*t/3 - 61033890962/3 = 0. Calculate t. 174691 Determine o so that -3*o**3 + 258636*o**2 - 5574381708*o = 0. 0, 43106 Determine n, given that 10*n**2/19 - 3706*n/19 - 3716/19 = 0. -1, 1858/5 Factor -3*d**3/7 - 1092*d**2 - 4861575*d/7 + 9753750/7. -3*(d - 2)*(d + 1275)**2/7 Solve 4*g**3/5 + 108*g**2/5 - 1040*g = 0. -52, 0, 25 Determine u so that -3*u**4 - 780*u**3 + 9657*u**2 - 36570*u + 40800 = 0. -272, 2, 5 What is n in 14706*n**2/7 - 29408*n/7 - 8/7 = 0? -2/7353, 2 Find h such that -2*h**4/3 - 2926*h**3/3 + 77330*h**2/3 - 145874*h/3 + 2
{ "pile_set_name": "DM Mathematics" }
. 1 Let o(f) = -f**3 - f**2 + 4*f + 2. Let v(j) = j - 4. Let c = -9 + 12. Let l be v(c). Let x be l - (6/3 + 0). What is o(x)? 8 Let i(j) = 3*j**3 + j**2 + j. Let m(d) = -d - 11. Let t(r) = r - 2. Let g be t(-5). Let k be m(g). Let z(p) = p + 3. Let u be z(k). Calculate i(u). -3 Suppose 3*p - 3 = 2*p. Suppose 2*a + 8 = 2*j, p*j - a = 4 + 2. Let v(d) = j - 1 + 10*d - 1. Calculate v(-1). -11 Let w(o) = o**2 + 11*o - 13. Let z(a) = -2*a + 8. Let l be z(10). Let v be w(l). Let j(d) = 0*d + 1 - 8*d**3 - d - d**2 + 2*d. What is j(v)? 7 Let b(o) = -o**3 - 2*o**2 + o - 2. Let y = 12 + -9. Let k(t) = -y + 0*t + t + 1 + 3. Let n be k(-4). Give b(n). 4 Let d be 4/16 + (1 - 1/4). Let m(l) = 3*l + 1. Calculate m(d). 4 Let y(c) = -11*c + 5. Let p(f) = -8*f + 5. Let o(r) = 4*p(r) - 3*y(r). Determine o(-6). -1 Let d(o) = 9*o - 13. Let x(w) = -2*w + 1. Let f(b) = d(b) + 4*x(b). Let j(y) = y - 10. Let h(n) = 3*f(n) - 2*j(n). What is h(5)? -2 Let u(m) = 413 + 6*m - 197 + 4*m - 171 - 2*m. Give u(-5). 5 Let g(r) = -11*r**2 + 10*r + 14. Let l(x) = 31*x**2 - 29*x - 40. Let m(w) = -17*g(w) - 6*l(w). What is m(-7)? 23 Let o(w) = w - 2. Let s be o(-3). Let t(f) be the first derivative of -5*f**2/2 - 4*f - 1. Let l(i) = 11*i + 9. Let j(c) = s*t(c) - 2*l(c). Calculate j(-4). -10 Suppose -18 = 5*u - 8. Let t(w) = -w**3 - w**2 - 1. What is t(u)? 3 Let t(i) be the third derivative of i**6/120 + i**5/20 - i**4/12 + i**3/2 - 79*i**2 + 1. Let s = 9 - 18. Let h = s - -5. What is t(h)? -5 Let y be 21*(99/(-21) - (2 + -7)). Let q(k) be the first derivative of 1/3*k**3 - 1/2*k**2 - k + 1/4*k**4 - y. What is q(-2)? -3 Let k(i) be the second derivative of -i**5/20 + i**4/12 + i**3 - 5*i**2/2 + 3*i. Calculate k(4). -29 Let h(l) be the first derivative of l**4/4 + 4*l**3/3 - 5*l**2/2 + 6*l + 260. What is h(-6)? -36 Let r(o) = o - 2. Suppose p - 2*a = 18, -a - 19 - 10 = -3*p. Let f be r(p). Let h(g) = -4 + 1 - 6 + 4*g - 2*g + 3. Determine h(f). 6 Let j(o) = -o**3 + 7*o**2 - 5*o - 8. Let w(f) = -3*f**3 + 36*f**2 + 6. Let m be w(12). Determine j(m). -2 Let w(i) = -2*i**3 - 15*i**2 - 19*i - 2. Let q(t) = -5*t**3 - 46*t**2 - 57*t - 5. Let x(c) = -3*q(c) + 8*w(c). Calculate x(19). -1 Let b(k) = 15*k + 8. Let h(a) = a + 1. Let o(i) = b(i) - 5*h(i). Determine o(-2). -17 Let b(k) be the second derivative of 5*k**3/6 - k**2/2 + 55*k. Calculate b(1). 4 Let q(c) be the second derivative of c**7/840 + c**6/120 - c**5/40 + c**4/6 + 11*c**3/6 - 12*c. Let l(t) be the second derivative of q(t). Calculate l(-4). 0 Let m(y) = -3*y**3 - y**2 - 4*y - 1. Let c(h) = 14*h**3 + 22*h**2 + 23*h - 34. Let a(u) = c(u) + 5*m(u). Determine a(17). 12 Let m = 46 - 38. Let o(p) = -9 - m - 2*p + 18. Determine o(-1). 3 Let h(v) = -2*v + 10. Let l(c) = -2*c + 11. Let w(f) = -3*h(f) + 2*l(f). Let r be (-4 - (-51)/18)*-6. Give w(r). 6 Let q(v) = -1 + 40*v**2 - v - 41*v**2 + 4*v. Let l(t) = -t**2 - 3*t + 3. Let f(s) = -s**3 - 7*s**2 - 6*s - 3. Let u be f(-6). Let w be l(u). Calculate q(w). -1 Let o(j) = -2 + 0 + 4468*j - 8 - 4467*j. What is o(7)? -3 Let g(k) be the third derivative of k**6/120 - 7*k**5/30 - k**4/24 + 2*k**3 + 17*k**2 + 4*k. What is g(14)? -2 Let w be 10/(-50) - 70/25. Let h(s) = 5*s**2 + s + 1. Give h(w). 43 Let d be -1 + (-66)/(-4) + 46/(-92). Let q(z) = 2*z - 15. Calculate q(d). 15 Suppose 5*j - 10 = 4*l, 0 = -l + 3*j - 7 + 1. Let f(n) = n**2 - n + 5. Give f(l). 5 Let a(l) = 3*l**2 - 5. Let s be -7 - -9*(5 - 4). What is a(s)? 7 Let a(j) be the second derivative of -j**3/6 - 13*j**2/2 - 4*j. Let l be a(-6). Let v = l + 12. Let k(t) = t + 1. Give k(v). 6 Let j(d) be the third derivative of -d**5/120 - 5*d**3/2 + 11*d**2. Let c(u) be the first derivative of j(u). Give c(1). -1 Let d be 228/285 - 31/(-5). Let u(n) = -n**2 + 8*n + 6. Give u(d). 13 Let t(f) be the first derivative of 4 - f - 5/3*f**3 + 0*f**2. Let q = 3 + -2. What is t(q)? -6 Let f(t) = -22*t + 179. Let r be f(8). Let n(j) be the second derivative of 0 - 1/2*j**2 - 1/6*j**r - j. Determine n(4). -5 Suppose 6*a = -152 - 118. Let l = -52 - a. Let t(k) be the third derivative of k**4/24 + 5*k**3/6 + k**2. Calculate t(l). -2 Let i(h) = 14*h**2 + 8*h - 1. Let k(n) = -12*n**2 - 7*n + 2. Let b(j) = -5*i(j) - 6*k(j). Give b(-3). 5 Let w(t) be the first derivative of -t**3 + 2*t**2 - 2*t + 117. Give w(2). -6 Let f(t) = -5*t**3 - 39*t**2 - 5*t - 3. Let z(p) = -p**3 - 7*p**2 - p. Let u(x) = -f(x) + 6*z(x). Let a = 3 - 2. Let w(c) = -3*c. Let m be w(a). What is u(m)? 6 Let x(c) = -c - 1. Let m(l) = l + 4. Let v(z) = -m(z) - 2*x(z). Let p(a) = -a**3 + 7*a**2 + 5. Let t be p(7). Calculate v(t). 3 Let x(o) = 42*o - 11. Let f(q) = 36*q - 9. Let y(w) = 6*f(w) - 5*x(w). Determine y(4). 25 Let h(f) = -f**2 - 4*f - 4. Let p(k) be the third derivative of -k**6/24 + k**5/30 - k**4/12 + k**3/6 + 6*k**2. Let r be p(1). What is h(r)? -4 Suppose 177*o = 166*o - 77. Let q(u) = -4*u - 31. Determine q(o). -3 Suppose 244 = g + 3*j, 0*j = 3*j + 12. Suppose 7*l + g = 11*l. Let f be 1/(4/l*4). Let h(v) = v**2 - 3*v - 5. What is h(f)? -1 Let d(p) = 32*p - 1. Suppose 1606*j + 5 = 1611*j. Calculate d(j). 31 Let r(v) = 6*v**3 - 6*v**2 + 12*v + 4. Let b(z) = 7*z**3 - 8*z**2 + 14*z + 5. Let l(n) = 5*b(n) - 6*r(n). What is l(-2)? -3 Let w(n) = 2*n**2 - 2*n - 20. Let s(h) = -h**2 - 6. Let u(j) = -3*s(j) + w(j). Calculate u(2). 14 Let x(l) = -4 - 4*l**2 + 5 - 9*l - l**3 + 2*l**3. Let b be x(6). Suppose 5*z + b = -16. Let y(g) = g**2 + 8*g + 7. What is y(z)? 0 Let z(l) = -l**2 + l + 2. Let q(v) be the first derivative of v**3/3 + 5*v**2/2 - 10*v - 25. Let t be q(-7). Calculate z(t). -10 Let a(g) = 4*g**3 - 30*g**2 - 72*g - 24. Let z(s) = -3*s**3 + 20*s**2 + 50*s + 16. Let w(r) = -5*a(r) - 7*z(r). Give w(-9). -1 Let w be (-2)/5 - 185/(-25). Suppose s = 3*l + 2 + w, 0 = 2*l + 4*s + 20. Let r(m) = -23*m - 3. Let x(h) = -8*h - 1. Let q(k) = l*r(k) + 11*x(k). Give q(-2). -7 Let w(v) = 5*v. Suppose 5*b - f - 4 = 4, -4*f + 8 = 0. Let s = -10 - b. Let i = s + 10. Calculate w(i). -10 Suppose 0 = -5*c + 15, -3*c - 16 = -j - 4*j. Let k(r) = -r**2 + 9*r - 13. Calculate k(j). 7 Let o(q) = q**2 + q - 2. Let j be (-75)/(-6) - (-35)/(-14) - 7. Calculate o(j). 10 Let i(h) be the first derivative of -h**2/2 + 12*h - 2. Let q be -3*(64/(-12))/2. Suppose -q*w - 25 = -13*w. What is i(w)? 7 Let r = 19 - 14. Let z(q) = 9*q + 2. Let n(c) = 28*c + 6. Let l(d) = -5*n(d) + 16*z(d). Let p(o) = 11*o + 7. Let g(k) = 8*l(k) - 3*p(k). Give g(r). -10 Let q be (-6)/(-12)*(0 + 0). Suppose -5*h + 0*h - 20 = q. Let p(z) = -z**2 - z. Let y(m) = -m**3 + m - 3. Let n(v) = 4*p(v) + y(v). Determine n(h). 9 Let q = -8 + 12. Suppose q - 5 = -r. Let b(u) = -7*u + 1. Calculate b(r). -6 Let m(d) = 2*d - 2. Let y(w) = 3*w - 1. Let x(s) = -4*m(s) + 3*y(s). Calculate x(5). 10 Suppose z = -3*i, -8 + 5 = z. Let t = 33 + -39. Let w(y) = 10*y**3 - 2*y**2 + 2*y - 1. Let m(c) = c**3. Let f(h) = t*m(h) + w(h). What is f(i)? 3 Suppose -10*h - 36 + 46 = 0. Let o(t) = -t**2 + 2*t - 1. What is o(h)? 0 Let t(n) = -n**2 - 7*n - 4. Let w be (-370)/34 - (-16)/(-136). Let u(m) = -m**2 - 11*m - 7. Let y be u(w). Determine t(y). -4 Let l(i) = 49 + 55 + 0*i - 107 - i. What is l(-6)? 3 Let c be 1/2 - 14/(-4). Let a(t) = -2*t**2 + 6*t - 5. Let f(s) = -s**2. Let q(v) = a(v) - f(v). What is q(c)? 3 Let l(n) = 5*n**2 + 1. Let i = 13 + -13. Suppose i = z - 45 + 44. Calculate l(z). 6 Let p(z) = -z**3 + 6*z**2 - 4*z + 2. Suppose 11 = 2*t + x, -5*t + 31 = -t + 5*x. Give p(t). 18 Let l(x) = -9*x - 45. Let r be l(-5). Let o(j) be the third derivative of -j**3 + 1/12*j**4 + r*j - 4*j**2 + 0. Determine o(6). 6 Let n(y) = -4*y - 14. Let f(v) = v - 2*v - 11 - 2 - 4*v. Let t(r) = -3*f(r) + 4*n(r). Determine t(0). -17 Let f(x) = -18 + 7*x - 5631*x**2 + 7 + 5632*x**2. Determine f(-9). 7 Suppose 18*h = 23*h. Suppose p + 32 = 4*j + 3, -5*j - 4*p + 31 = h. Let f(b) = 2*b - 6. Determine f(j). 8 Let r = -1851 + 1849. Let x(m) = -m**3 + 2*m**2 + 2*m + 1. Calculate x(r). 13 Let x(m) = -m**2 + 7*m - 5. Let o be (-2)/((-5)/((-60)/(-8))). Suppose 2*f - 5*f = o*g - 33, -5*f - 2*g = -40. What is x(f)? 1 Let m(r) be the third derivative of -1/720*r**6 + 0*r**3 + 1/60*r**5 + 6*r**2 + 0 + 7/24*r**4 + 0*r. Let z(i) be the second derivative of m(i). Calculate z(2). 0 Let a(p) = p**2 -
{ "pile_set_name": "DM Mathematics" }
884*u Let n(u) = -3*u**2 - u + 1. Let h(b) = -17*b**2 - 6*b + 5. Let a(x) = -2*h(x) + 11*n(x). Let d(j) = -3*j**2 - 6*j - 11. Calculate -5*a(l) - d(l). -2*l**2 + l + 6 Let l(u) = -u - 1. Let c(v) = 2*v + 10. Let z(a) = -c(a) - 3*l(a). Let w be z(-4). Let p(b) = -b**2 - 6*b. Let q(i) = 2*i**2 + 11*i. What is w*p(r) - 6*q(r)? -r**2 Let a(q) = -q - 1. Let f be (4/(-6))/((-42)/2835). Let w be 2 - ((-10)/f - (-47)/9). Let i(h) = -2 - 3 - 4*h - 2*h. Determine w*i(d) + 15*a(d). 3*d Let v(b) = 8*b - 7*b + 9*b. Let x(n) = 5*n. Let l(z) = 5*z**2 + 61*z + 113. Let s be l(-2). Determine s*x(o) - 6*v(o). -5*o Let x(k) = 2. Let y(z) = z. Let h be 3/(6 - -1 - 4) - -2. What is h*y(s) - x(s)? 3*s - 2 Let t(j) = 2*j**2 + 4*j + 5. Let w be t(-2). Let u(l) = -3 + 6 - w + 1 + 0. Let m(q) = -q**2 + q + 6. Give -m(i) - 5*u(i). i**2 - i - 1 Let y(z) = -4*z**2 + 3*z - 1. Let m be -2 + 0 - (-950 + -1). Let p(k) = 1 + m*k - 476*k - 478*k + 7*k**2. Give -3*p(o) - 5*y(o). -o**2 + 2 Let a(u) = -422*u + 22. Let k(f) = -208*f + 10. Calculate -6*a(o) + 13*k(o). -172*o - 2 Let p be 3*(8 + -12)*(-3 + 10/3). Let i(l) = -l - 1. Let t(n) = -n + 1. What is p*t(f) + i(f)? 3*f - 5 Let k(c) = -57*c + 1. Let x(u) = -38*u**2 + 112*u - 7. Let b(m) = 2*k(m) + x(m). Let l(d) = 19*d**2 + d + 2. Calculate -2*b(g) - 5*l(g). -19*g**2 - g Let p(b) be the first derivative of -4*b**3 + 9*b**2/2 + 2*b + 6204. Let s(r) = -4*r + 1 - 3 + 6*r**2 + 1. Determine 2*p(v) + 5*s(v). 6*v**2 - 2*v - 1 Let d(w) = w**2 - 12*w - 74. Let m(z) = -z**2 + 10*z + 73. What is 5*d(g) + 6*m(g)? -g**2 + 68 Let x(w) = 9*w**2 - w + 86. Let y(l) = 5*l**2 + 44. Give -4*x(b) + 7*y(b). -b**2 + 4*b - 36 Let k(o) = o**2 - o. Suppose 2*p = 134 - 128. Suppose j - 16 = 5*j + p*g, 0 = 4*j - 5*g - 16. Let z(c) = -3*c**2 - 3*c. Determine j*z(q) + 3*k(q). 6*q**2 Suppose -4*l + 43 = 7*t, -4*t + 28 = -3*l + 7*l. Let u(o) = -2*o**2 - 5*o + 3. Let x be u(-4). Let m(q) = 3*q. Let j(a) = a. What is l*m(c) + x*j(c)? -3*c Let t(o) = -o**2 + 5*o - 1. Let b(c) = 6*c**2 - 23*c - 316. Give -b(g) - 4*t(g). -2*g**2 + 3*g + 320 Let a(w) = w**2 - 2*w - 2. Let r(m) = -915*m**2 + 610*m + 610. Give 610*a(b) + 2*r(b). -1220*b**2 Let x(p) = 1. Let c(h) = -2*h + 12. Let q(o) = 2*c(o) - 22*x(o). Let y(a) = -a. Let v be ((-5)/((-20)/112))/2. Suppose v*z = 13*z - 2. Calculate z*y(r) + q(r). -2*r + 2 Let o(d) = 103*d - 59*d - 8 - 49*d - 1 + 11. Let u(n) = n. Let y be -4 - -1 - 3/1. Give y*u(r) - o(r). -r - 2 Let u(d) = 26*d**2 + 6*d + 3 - 12 - 8. Let f(p) = -9*p**2 - 2*p + 6. Suppose 55*r - 53*r + 3*h + 19 = 0, -3*r - 31 = 4*h. Give r*f(z) - 6*u(z). -3*z**2 - 2*z Let o(x) = x**3. Let b(w) = -10*w**3. Let l = -123 + 68. Suppose -10 = -2*d, 2*d - 1783 = -4*t - d. Suppose 433*m = t*m + 54. What is l*o(n) + m*b(n)? 5*n**3 Let o(w) = 34*w**3 - 3*w**2 + 5*w - 11. Let g(n) = 15*n**3 - 2*n**2 + 2*n - 5. Determine -9*g(k) + 4*o(k). k**3 + 6*k**2 + 2*k + 1 Let b(y) = 8 + y**2 + 3*y**2 - 2. Let u(h) = 2*h**2 + 3. Suppose 31 = -s + 42*r - 47*r, -4*r - 32 = 2*s. Calculate s*b(d) + 13*u(d). 2*d**2 + 3 Let j be 18/27 - ((-1006)/(-6) + 3). Let w be 8/(-18) + -5 + j/(-18). Let u(y) = -8*y - 9. Let d(i) = i + 1. What is w*u(r) + 36*d(r)? 4*r Let z(w) = -w**2 - 5. Suppose -2*d - 4 = 2*d, -v + 5*d = -8. Suppose -5*k - 1 = -h - 7, 0 = 3*k - v. Let m(y) = -1 + 1 + 5 - 6. Give h*z(r) + 5*m(r). r**2 Let g(n) = 11*n - 3. Suppose -156*j + 955 + 1134 = 685. Let k(c) = 22*c - 6. What is j*g(l) - 4*k(l)? 11*l - 3 Let z(c) be the first derivative of 10 + 13*c + 1/2*c**2 + 1/6*c**3. Let o(h) be the first derivative of z(h). Let p(t) = -2*t - 2. Calculate -8*o(a) - 5*p(a). 2*a + 2 Let s(x) = -5*x - 4. Let r = 871 - 885. Let l be 3/2 - (r/4 + -2). Let a(i) = -4*i - 3. Give l*a(c) - 6*s(c). 2*c + 3 Let l(i) = 7*i - 1. Let k(v) be the third derivative of -v**4/24 + 195*v**2. Give 10*k(q) + 2*l(q). 4*q - 2 Let p(k) = -34*k + 11. Let l(i) be the first derivative of -7/2*i**2 + 2*i - 116. Determine -11*l(r) + 2*p(r). 9*r Let m(y) = -y**2 + y + 1. Let h(o) = 90*o**2 - 31*o - 11. Let p(t) = -41*t**2 + 14*t + 5. Let s(n) = -4*h(n) - 9*p(n). Determine -2*m(l) - s(l). -7*l**2 - 1 Let r(o) = 9*o - 2. Let h(a) be the first derivative of a**2/2 - 366. Calculate 6*h(p) - r(p). -3*p + 2 Let n(b) = -b**2 + 21*b - 3. Let m(z) = 2*z**2 - 37*z + 4. Calculate -3*m(i) - 5*n(i). -i**2 + 6*i + 3 Let m(f) = 11*f**3 + f. Let k(i) be the third derivative of i**6/20 + i**4/24 + 2562*i**2. Let y be (-4)/18 + 172/(-36). What is y*k(a) + 3*m(a)? 3*a**3 - 2*a Let i(k) = -1235*k**3 - 6*k**2 - 3. Let u(v) = v**3 - 2*v**2 - 1. Calculate -2*i(m) + 6*u(m). 2476*m**3 Let d(r) = -15*r**2 - 5*r + 1. Let i(p) = -52*p**2 - 17*p + 4. Let m(w) = -7*d(w) + 2*i(w). Let o(q) = -4*q**2 - 4*q - 13. What is -6*m(v) - o(v)? -2*v**2 - 2*v + 7 Let v(a) = -a**3 + a**2 - 10*a + 1. Let q(i) = -4108*i**3 + i**2 - 10*i + 1. What is q(x) - v(x)? -4107*x**3 Let j(i) = -24*i. Let z(v) = 49*v. Let g(s) = -35*s - 3077. Let x be g(-88). Calculate x*z(c) + 5*j(c). 27*c Let x(p) = p. Let j(r) = r. Let c(w) = -2*j(w) + x(w). Let b = -5826 - -5825. Let a(u) = -u. Give b*c(n) + 4*a(n). -3*n Let b(u) = -5*u**2 + 166*u + 6. Let k(s) = -s**2 - 9*s + 1. Give -b(n) + 3*k(n). 2*n**2 - 193*n - 3 Let y(z) = -11*z + 14. Let x(j) = 4*j - 25. Let w(v) = -4*v + 29. Let s(r) = 5*w(r) + 6*x(r). Calculate 8*s(c) + 3*y(c). -c + 2 Let g(u) = 35*u**2 + 784*u - 4. Let l(p) = p**3 + 122*p**2 + 2351*p - 14. Determine 7*g(r) - 2*l(r). -2*r**3 + r**2 + 786*r Let x(i) = -12*i**2 - 9. Let h(y) = -6*y**2 - 5. Suppose 14*l + 2 = 16*l. Let g be 0 + 9 + l - 495/99. What is g*x(b) - 9*h(b)? -6*b**2 Let b(d) = d**2 - d + 2. Let y = 15 - 18. Suppose 16*x - 64 + 96 = 0. Let f(v) = 2*v - 3. Give x*f(k) + y*b(k). -3*k**2 - k Let d(c) = -3*c**3 + c + 1. Let u(f) = 12*f**3 - f**2 + 3. Give -5*d(m) + u(m). 27*m**3 - m**2 - 5*m - 2 Let z(q) = -17*q**3 + 117*q**2 - 9*q - 9. Let c(f) = 4*f**3 - 29*f**2 + 2*f + 2. Let g(n) = -n**2 + 63*n - 390. Let d be g(7). Give d*z(v) + 9*c(v). 2*v**3 - 27*v**2 Let q(v) = 5*v**2 - 16*v + 31. Let y(d) = 9*d**2 - 29*d + 61. Determine -11*q(r) + 6*y(r). -r**2 + 2*r + 25 Let a(z) be the first derivative of z**3/3 - 1255. Let s(k) = 3. Give -3*a(x) + 3*s(x). -3*x**2 + 9 Let w(d) = -d. Suppose 3*h - 4*u = -u - 30, -3*u = -5*h - 40. Let o(v) be the first derivative of -v**2 - 34. Determine h*o(m) + 8*w(m). 2*m Suppose 13*f + 28 = -54*f + 39*f. Let j(v) = 1. Let k(p) = 32*p - 12. Determine f*k(o) - 10*j(o). -32*o + 2 Let t(r) be the second derivative of -5*r**4/2 - r**3/3 + 5*r**2/2 + 2*r - 111. Let d(x) = -59*x**2 - 3*x + 9. Determine 4*d(v) - 7*t(v). -26*v**2 + 2*v + 1 Suppose 4*a - 80 = 6*s - 11*s, -4*s = 3*a - 65. Suppose s*u - 39 = -199. Let i(x) = -14*x**2 + 2*x - 11. Let m(v) = -5*v**2 + v - 4. What is u*m(b) + 3*i(b)? -2*b**2 - 2*b - 1 Let s(n) = n**3 - 4*n**2 - 6*n - 2391. Let i(g) = 5*g**3 - 21*g**2 - 33*g - 11955. Give -2*i(y) + 11*s(y). y**3 - 2*y**2 - 2391 Let m(o) = 5*o - 4. Let u = -6661 - -6658. Let v(x) = -6*x + 4. Calculate u*m(w) - 2*v(w). -3*w + 4 Let y(w) = -816*w**2 - 128*w. Let u(k) = 32*k**2 + 5*k. Let q(n) = -129*n**3 - 3*n**2 - 46*n - 44. Let i be q(-1). What is i*u(o) + 5*y(o)? 16*o**2 Let m(k) = 1. Let r(d) = 3. Let t(o) = -4*m(o) + r(o). Let s(i) = 1 + 194*i - 193*i + 4 + 0. Give s(z) + 5*t(z). z Suppose 7*l = 534 + 180. Suppose -l*y = -90*y + 36. Let f(z) = -8*z + 9. Let r(m) = 4*m - 4. Determine y*f(i) - 7*r(i). -4*i + 1 Suppose -5*i - 19 = 2*w, 2*i - 3*w + 10 = -9. Let f(v) = 13*v + 7. Suppose 82*n - 5535 = -5371. Let s(j) = 6*j + 3. What is i*s(t) + n*f(t)? -4*t - 1 Let c(g) = 11*g**3 - 3*g**2 + 7*g + 4. Let o(t) = -6*t**3 + 2*t**2 - 4*t - 2. Let f(x) = -166*x + 339. Let m be f(2). What is m*o(q) + 4*c(q)? 2*q**3 + 2*q**2 + 2 Let d(w) = -47*w**2 - 12*w - 23. Let m(o) = -239*o**2 - 58*o - 111. Let a(s) = -14*d(s) + 3*m(s). Let r(p) = 12*p**2 + p + 2. Calculate 4*a(v) + 22*r(v). 28*v**2 - 2*v Let b(o) = 95*o - 297. Let s(p) = 96*p - 321. Let i(v) = -13*b(v) + 12*s(v). Let h(w) = -21*w + 2. Determine 18*h(z) - 4*i(z). -46*z Let n(p) = 49*p**2 + 14*p - 19. Let u(g) = g**2 - 10. Determine n(m) - 2*u(m). 47*m**2 + 14*m + 1 Let q(s) = -5 - 32*s - 126*s + 4 + 132*s. Let u(m) = 104*m + 3. Give 9*q(g) + 2*u(g). -26*g - 3 Let u(s) be the second d
{ "pile_set_name": "DM Mathematics" }
**2 + 2*w - 1. Let a be h(t). Solve 4 = -a*r - 2 for r. -2 Let z(p) = p**3 - 8*p**2 + 4*p + 24. Let s be 20/3 + 4/12. Let f be z(s). Solve u - f = -1 for u. 2 Suppose -10*h = -15 - 25. Solve h = 9*u - 5 for u. 1 Let i be 23 + (10 - 0) + -9. Solve t - i = 7*t for t. -4 Let d = 39 + -38. Suppose 3*o - d + 4 = 0, 5*o = -2*w + 7. Solve 5*v = -9 - w for v. -3 Let z be (-12 - -12) + (-6)/(-2). Solve -f + 0*f = -z for f. 3 Suppose -4*p - 4 = 0, 4*p = -5*a + 9*p + 5. Solve a = 4*x - 1 - 15 for x. 4 Let a be (-6 + 3)*1 + 3. Suppose z = 3*z + 10. Let y be 2/2*(-10)/z. Solve 0*p - 2*p - y = a for p. -1 Let t(q) = q**3 - 14*q**2 + 15*q - 12. Let v be t(13). Let b be v/(-14) - 1*-6. Let d(j) = j**3 - 3*j**2 - 7*j + 5. Let k be d(b). Solve 7*f = 2*f + k for f. 4 Suppose -5*j - 65 = -5*r, 0 = -3*j + 2*r - 2 - 37. Let y(n) = -9*n**3 - 1. Let g be y(1). Let s = g - j. Solve s*l = 5*l for l. 0 Suppose -2*s - 27 = -47. Solve 0 = -s*m + 5*m - 15 for m. -3 Let z = 5 - 5. Suppose z = -5*y + 3*r - 1 + 5, 5*y - 14 = -2*r. Suppose -y*t = -5*t + 9. Solve 3 = -t*d - 3 for d. -2 Let f = 24 + -24. Suppose 5*q - 3*h + 310 = 2*h, -4*q - 4*h - 208 = f. Let x be 2/8 + q/(-12). Solve o + x = -0*o for o. -5 Let g be 65 - (4/6 + 49/21). Let m = g + -58. Solve -m*u + 5*u = -1 for u. -1 Suppose -32 + 4 = -7*u. Let i(k) = 8*k - 8. Let w be i(1). Solve l = -u - w for l. -4 Suppose 238*p = 243*p - 15. Let u be (12/(-4))/p + (5 - 1). Solve 2*o = -u - 3 for o. -3 Let i(a) = a**2 - 6*a + 4. Let q be i(3). Let t be q/((-5)/(-4)*-2). Suppose -12 = -2*l - o + 18, -3*o = -t*l + 38. Solve 0 = -5*u + u + l for u. 4 Let x be 50/75*3/2. Let c be -2 - (-3 + 1)/x. Let r be (1 - 0)/(1/3). Solve -r*v + c = -6 for v. 2 Suppose 5*q + 0 = -4*g + 41, 3*g - 17 = -q. Let f be 1*25 + (-33)/(-11). Let o = f + -28. Solve -g*r - 3 + 15 = o for r. 3 Let o be (-6)/(-2) - 4/(-2). Suppose -o = -7*g + 9. Suppose -g*q = -7*q. Solve -c - 8 + 3 = q for c. -5 Let d(y) = y**2 - 30*y + 31. Let l be d(29). Solve -6 = x + l*x for x. -2 Let k(n) = n - 1. Let y be k(3). Suppose y*l - 13 = 9. Solve 4*d = -l - 1 for d. -3 Suppose -3*n = -0*n. Let u(x) = -2*x**2 - 5 - 22*x + 21 + 9*x + 12*x. Let b be u(n). Solve 0*c + 4*c + b = 0 for c. -4 Let x = 933 + -919. Solve p - 19 = -x for p. 5 Let l(k) = -k**2 + 8*k - 15. Let a be l(4). Let y be (a/(4 - 1))/(36/108). Solve -h - y = -2 for h. 1 Let n be 0/(1*(-2)/1). Suppose 5*d - u - 86 = -3*u, -3*d - 3*u = -57. Let w be 16/(-14)*42/(-12). Solve w*c = -n*c + d for c. 4 Suppose 40 = 15*x - 11*x - b, 0 = 5*b + 20. Let a = -18 + 12. Let u(c) = -c**3 - 7*c**2 - 8*c - 9. Let z be u(a). Solve -6 - x = z*g for g. -5 Let l(i) = i**3 + 3*i**2 - 7*i - 8. Let n be l(-4). Suppose 2*w = -4*j, -w - j - 6 = n*j. Solve 0 = -2*o - 2*o - w for o. -1 Suppose -14*g + 11*g = 0. Suppose -3*r + 9 = q, -5*q + g*q = 2*r + 7. Solve 2 - 6 = r*x for x. -1 Let d be 1 - (11 + -1) - 0. Let t = 3 - d. Solve t = -2*s - s for s. -4 Let k(r) = r**3 - r**2 + 4*r - 8. Let v(s) = s**3 - 2*s**2 + 4*s - 7. Let i(y) = 4*k(y) - 5*v(y). Let q be i(5). Solve 11*f - 12 = q*f for f. 4 Let q be 5*((-9)/(-2) + (-15)/10). Solve -6*c - 3 = q for c. -3 Suppose 8*t + 11*t - 418 = 0. Suppose q - 5*q + 2*a + t = 0, -3*q = 2*a + 1. Solve -1 = -2*w + q*w for w. -1 Suppose -8*l + 35 = -4*l - u, -5*l - 5*u = -50. Solve l*t - 4*t = -20 for t. -4 Suppose 4 = 2*c - 4. Let f be 8/c*(-3)/(-2). Suppose -y - f*n = -4*y + 18, 0 = -2*n - 4. Solve -y*g = -9*g for g. 0 Suppose -3*b + 0*b - j + 1977 = 0, 0 = -j - 3. Suppose 2*z - 2*f + b = -3*z, z = 4*f - 132. Let d be (-1)/3 - z/18. Solve 3*c + 8 = -d for c. -5 Let b(g) = -2*g**2 - 3 + 3*g**2 - g**2 + 5*g - g**2. Let t be b(3). Solve f + t = -0*f for f. -3 Let n be -1*6/51 - 119691/(-527). Solve n = -3*g + 218 for g. -3 Let s(g) = 5*g**2 + 19*g - 4. Let z be s(-4). Solve z = -4*c - 0*c + 20 for c. 5 Let j be 3*-4 - (-25 + -14). Solve h = -8*h - j for h. -3 Let c(r) = r**3 + 5*r**2 + 5*r + 6. Let i be c(-4). Let w = -15 + 25. Solve 2*l - i = -w for l. -4 Let p(r) = -r**3 - 6*r**2 - 6*r - 6. Let n be p(-4). Let b be (-2)/((-3)/(-18) - n/(-12)). Solve 4 = -b*t - 0 for t. -2 Suppose -w + 2 = 2*j, -2*w = -5*j - 5*w + 3. Solve j*i - 7 + 7 = 0 for i. 0 Let k(t) = t**2 - 4*t - 28. Let a be k(-4). Solve 0 = a*g + g for g. 0 Let u be (-4 + 8 - 5) + -1. Let v be (-3)/(-4)*u + (-45)/(-30). Solve -8 + v = -4*h for h. 2 Suppose -2*o + 0 + 1 = y, 2*y + 2*o = 6. Solve y*t = -t - 30 for t. -5 Suppose 0 = -25*a + 29*a. Solve 0*x - 2*x = a for x. 0 Suppose -165 = -v - 2*v. Suppose 7 - v = -8*r. Solve 2*t + 0 = r for t. 3 Let q(p) = p + 22. Let z be q(-17). Let g be (11 - (-1 + z)) + -5. Solve 0 = 2*t - t + g for t. -2 Let j(v) = v**2 + v - 42. Let f be j(-7). Suppose f = 3*z + 5*q - 43, -z - 4 = -5*q + 15. Solve 3 = 3*x + z for x. -1 Let l(j) = -10*j + 12*j + j**2 + 13 - 6 + 6*j. Let c be l(-7). Solve c = 3*t - 0 + 9 for t. -3 Let d = -19 + 19. Suppose -11 = -w - 2*q, d = -4*w - q + 3*q + 34. Solve -2*v + w = -5*v for v. -3 Let l(h) be the first derivative of -h**2/2 - 2*h - 2. Suppose 0 = -2*b - 20. Let t be l(b). Solve -a + 3 - t = 0 for a. -5 Let s(z) = -z + 1. Let k = 19 + -3. Suppose -k = 2*p - 8. Let g be s(p). Solve 2 = -g*h - 3 for h. -1 Let x(j) = j**2 + 6 - 5*j - 3*j**2 + j**2. Let v be x(-6). Let f be v + 4 + 0 + 3. Solve -4*p = -f*p + 6 for p. 2 Suppose 10*f - 4 - 76 = 0. Solve -1 = 3*d + f for d. -3 Suppose 0 = -5*x - 3*t + 18, -4*t = 12*x - 8*x - 16. Solve x*b = 20 - 5 for b. 5 Let j be (-2 - (4 - 6))*1. Solve j = 2*q - 2 - 0 for q. 1 Let l = -92 - -97. Solve -l + 7 = -o for o. -2 Suppose 4*w - 62 = -5*h, -3*h - 2*w + 26 = -10. Solve -h*n + 6*n = 20 for n. -5 Suppose -8*c = -13*c + 175. Solve -4*k = -11*k - c for k. -5 Let k(v) = v**2 - v - 6. Suppose 4*d = 6 + 6. Let s be k(d). Suppose -r - 5*m = s, -m = -4*r - 2*m + 19. Solve 3*o + r = 17 for o. 4 Suppose 5*f - 205 + 75 = -5*v, -4*f + 20 = v. Solve v = 23*u - 16*u for u. 4 Suppose -27*f + 54 = -0*f. Solve -f*k - 3 = -3*k for k. 3 Let l(n) = -n**3 - 12*n**2 + 4. Suppose 5*r + 65 - 5 = 0. Let y be l(r). Solve 0 = -2*u - 0*u + y for u. 2 Suppose 3*l = -3*d + 9, -l + 3*d = -2*l + 9. Suppose -w + 2 = l, -4*w = -2*z + w - 2. Solve z = -t - 1 for t. -5 Suppose -25 = 11*v - 16*v. Solve -g - v = -2 for g. -3 Let f(b) = 65*b**3 - 2*b**2 - 2*b + 2. Let n be f(1). Solve -c = -n + 67 for c. -4 Suppose -5*s - l + 322 = 0, -2*l + 6*l = -4*s + 264. Let k be 9/5 + s/(-80). Solve -w = -k - 2 for w. 3 Let x(y) = -y**2 - y + 14. Let o be x(3). Solve -20 = o*p - 7*p for p. 4 Let q(v) = v**3 - 19*v**2 + 2*v - 36. Let u be q(19). Let l be (13/3 + -5)/(u/(-6)). Solve -3 = -r - l*r for r. 1 Suppose -44 = -15*d + 16. Solve d = -4*q - 0 for q. -1 Let x(f) = 4*f + 3*f + 3*f - 12 - 13*f. Let t(r) = -5*r + 26. Let p be t(6). Let u be x(p). Solve u = 6*l - l - 25 for l. 5 Suppose 3*m = 3*m + 2*m. Suppose -2*b + 2*b - b = m. Solve -2*k + 4*k = b for k. 0 Let y = 26 - 24. Suppose 0 = -y*s + 9*s - s. Solve 2*d + 0*d - 8 = s for d. 4 Let c(m) = -m**2 - 8*m - 4. Let s = -11 - -20. Suppose 4*g + 15 + s = 0. Let f be c(g). Solve 0 = -f*x + 4*x + 20 for x. 5 Let s be (-150)/(-8) - (-1 + 14/8). Let b = s - 14. Solve b*z + 1 = 5 for z. 1 Let m be (-204)/(-119) + -4*(-1)/14. Solve 0 = 4*b - m + 14 for b. -3 Let r = -11 + 15. Suppose -r*n - 2*n + 30 = 0. Solve -10 = -0*x - n*x for x. 2 Let w(g) = -6*g + 21. Let q be w(10). Let r = q - -43. Suppose 0*c = c - 4. Solve 16 = r*m - c for m. 5 Let m = 60 + -58. Solve -8*q + m - 26 = 0 for q. -3 Suppose 0 = -6*j + j + 10. Suppose 40 = 5*z - 0*z. Suppose -2*v + 16 = 2*n, -12*v - n = -8*v - 26. Solve -v*c = -j*c - z for c. 2 Suppose -610*p + 189 = -601*p. Solve 23 = -v + p for v. -2 Suppose -16*d - 5 = -11*d. Let v be -1 + 4 + d + 0. Solve 0 = -3*k + v*k + 5 for k. 5 Suppose -2*v - 5*p + 115 = 106, 2*v + 1 = 5*p. Solve -v*b - 23 + 31 = 0 for b. 4 Suppose -i = 36 - 61. Solve 21*w - 4 = i*w for w. -1 Let y = -344 + 349. Suppose 60 = 6*n - 2*n. Solve -2*q + y*q = -n for q. -5 Let x be (-1 - -2 - 0)*0. Suppose x = 2*d - 0*d - 5*z + 4, -d + 5*z = 12. Let m = 8 - d. Solve m*r + 5*r = 10 for r. 2 Suppose -c - 95 = -0*s + 2*s, 3*c + 193 = -4*s. Let x = s + 29. Let f = 25 + x. Solve 4*z + f = -0*z for z. -2 Suppose l - 4 = 0, 7*s - 4*s = 3*l - 6. Solve -i + 2
{ "pile_set_name": "DM Mathematics" }
pose 0 = -2*k - 0*k - 964. Let s = k + 3356/7. What is the common denominator of s and -39/5? 35 Let a = 2/195 + -4363/780. Let n = -1 + -2. What is the common denominator of a and 2/n*101/8? 12 Let d be ((-40)/(-6))/((-2)/(-6)). Let i = -12 + d. What is the lowest common multiple of i and (6*7/14)/((-1)/(-3))? 72 Let f = -2/271145 - -895333/154940. Let n be (-6332)/630 + (-10)/(-45). Let i = n + f. What is the common denominator of 41/6 and i? 60 Let l = -11421/8 + 1424. What is the common denominator of l and -11/3? 24 Let b be (-2097)/213*9/2. Let v = 14/71 - b. Find the common denominator of -49/5 and v. 10 Calculate the lowest common multiple of 20/((-70)/7)*42/(-4) and 30. 210 Suppose -5*x - f = 227, x - 5*f = 4*x + 123. Calculate the common denominator of x and 15*(-4)/12 + 51/(-10). 10 Suppose 25 = -2*n + o, n - 2*o + 10 = -4*o. Let i = -6609 + 105695/16. What is the common denominator of 15/n*(-34)/(-8) and i? 16 Let r be -3 - (-3 - (-5)/1). Let c(i) = 3*i - 5*i + 1 + 1 + 0. What is the lowest common multiple of 6 and c(r)? 12 Suppose 7 - 1 = y. Calculate the lowest common multiple of y and 30. 30 Suppose -4*r = -2*m + 6, -r + 4*m - m - 14 = 0. Let t be 29 + -1*(r - 2). Find the common denominator of -113/10 and (-555)/20*4/t. 10 Let q = -77901/16496 - -36/1031. Calculate the common denominator of q and 374/(-12) - (-6)/9. 16 Calculate the smallest common multiple of (-3164)/(-63) + (-4)/18 and 35. 350 Let n be (-3)/3 + (-70802)/(-9768). Let y = n + 2/1221. Let m = 7936 + -174503/22. Calculate the common denominator of y and m. 44 Let f = -16 + 28/3. What is the common denominator of -65/42 and f? 42 Suppose 2*r - 2 = 4*l - 3*l, 16 = 4*r. Let p(b) = -11 + 11 - 5*b. What is the least common multiple of l and p(-4)? 60 Let i = 63/53 + -1872/371. Let v(z) = z + 2248. Let s be v(0). Let w = s + -20179/9. Find the common denominator of i and w. 63 Let t = -3 - -5. Suppose 4*v = t*b - 32, v + 4 = -2*b + 51. What is the least common multiple of 4 and b? 44 Let i = 5077/1580 + -558/79. Let c = -285786 - -10287421/36. Let g = -263/9 - c. Find the common denominator of g and i. 60 Suppose 4*m + 26 = 6*m. Let b be 5/((-10)/(-8) - 1). Let i = b - m. Calculate the least common multiple of 3 and i. 21 Suppose -2*q - 3*q + 5*k + 30 = 0, -3*k = 3*q - 18. Suppose -10 = 4*f + q. Calculate the least common multiple of 14 + f + 2 - 2 and 12. 60 Let t be (-4270)/(-4) + 4 + -6. Let h = t + -1023. What is the common denominator of h and -37/18? 18 Suppose -6 = 5*v - 2*v, 5*c - 194 = -3*v. Suppose -c = -2*h - 3*h. What is the smallest common multiple of (-1)/4 - 13/(-4) and h? 24 Let g(k) = k**2 + k - 2. Let v be g(2). Suppose -8 = 4*y + v. Find the common denominator of 13/9 and (14/(-3))/(5/y). 45 Let p = 111/8 - 15. What is the common denominator of -115/12 and p? 24 Let t(d) = 2*d - 4. Let h be t(3). What is the least common multiple of 2/2 - (3 + -6) and (-1 - 14)*h/(-5)? 12 Let w be 0 - 0 - (0 + 2). Find the common denominator of (w + (-13)/(-6))*-113 and -2 + 3 + 1/8*-43. 24 Let y = 845 - 3303/4. Calculate the common denominator of -7/4 and y. 4 Let c = 43723/25872 - 4/1617. Find the common denominator of c and -101/20. 80 Let t be -1 + (3 - 1) - 1. Suppose t = n + 2 - 1. What is the common denominator of n/(-2) + (-105)/8 and 7/18? 72 Suppose 4*d - 10 = 2. Suppose 2*w + d*r = -2*w + 15, 3 = -r. Calculate the smallest common multiple of 1/((-28)/16 + 2) and w. 12 Suppose 7*n - 2*n + 157 = -m, -2*n - 5*m - 49 = 0. Find the common denominator of 131/6 and n. 6 Let c(o) = o. Let g be c(4). Suppose h = g*h - 54. Calculate the smallest common multiple of 6 and h. 18 What is the common denominator of ((-25)/(-40))/(7/(-92)) and -33/8? 56 Let h(x) = x + 10. Suppose 2*d = 0, 3*b + 3*d + 0 = -18. Calculate the smallest common multiple of h(6) and (0 + 8/b)*-6. 16 Let d = -12 - -18. Calculate the least common multiple of ((-1)/1)/((-3)/54) and d. 18 Let q be (-13326)/56 - (-3)/12. Let s = q + 237. Find the common denominator of 0 and s. 7 Suppose 69 - 9 = 3*s. What is the least common multiple of 4 and s? 20 Let g = 1500 + -2919/2. Find the common denominator of g and -26/11. 22 Let o = -87 - -105. What is the least common multiple of 39 and o? 234 Suppose -3*r - 11 = -h, 0*h + 5*h + r - 71 = 0. What is the lowest common multiple of 32 and h? 224 Suppose -2*z = -4*z - 4*t - 10, z + 4*t + 15 = 0. Suppose 3*q + 4 = y, -z*q + 1 = 5*y - 59. What is the least common multiple of y and 14? 70 Let w(z) = -32*z**2 + 3*z - 14. Let s be w(-15). Let p = 87049/12 + s. What is the common denominator of 13/16 and p? 48 Suppose 0 = -22*x + 20*x + 4. What is the least common multiple of 10 and x? 10 Let u be (2908414/(-6))/((-1)/96). Let c = -1023529339/22 + u. Let q = 10567 - c. What is the common denominator of -1/18 and q? 198 Suppose 5*o + 4*j - 86 + 16 = 0, 56 = 4*o + 4*j. Let g(n) = -2*n - 1. Let b be g(-1). Calculate the lowest common multiple of o and b/3 + 65/3. 154 Let c = -12457/6 + 2060. Find the common denominator of c and 23/3. 6 Let c(r) = -r**3 - 5*r**2 - 7*r - 5. Let t(f) = -f**2 + 2*f + 3. Let v be t(3). Suppose -2*u + 6 = -v*u. Calculate the least common multiple of c(-4) and u. 21 Suppose 0 = -5*c + 5*z + 100, 3*c = 5*z + 61 + 3. Calculate the smallest common multiple of 30 and c. 90 Let d = -9 - -14. Suppose -a - 35 = -4*p, -4*p + d*a = p - 25. Calculate the least common multiple of p and 8. 40 Suppose 5*s - 45 = -4*s. What is the least common multiple of s and 7? 35 Let m = 481/2 + -223. What is the common denominator of 79/(-14) + (-72)/(-126) and m? 14 Suppose b - 25 = 6*o - 2*o, 0 = -3*b - 3*o. Let x(i) = 2*i + 2. Let v be x(-7). Let t = 19 + v. Calculate the lowest common multiple of t and b. 35 Let k(d) = -d**3 - 33*d**2 - 30*d + 68. What is the smallest common multiple of 24 and k(-32)? 24 Let m be (-1)/4 + (-207404)/(-176). Let i = -27565931/23397 + m. Let o = -75865/4254 - i. Calculate the common denominator of o and -31/6. 6 Calculate the common denominator of (-2)/9 + (-1874)/(-252) and -4 + 1 - (-298)/44. 154 Let p be 9/5*40/12. Calculate the common denominator of 7/10 and 6/p + (-42)/32. 80 Let q = 51 - 23. Let n = q - 26. Calculate the smallest common multiple of 3 and n. 6 Let f = 9/23 - 1991/92. Find the common denominator of f and 79/8. 8 What is the common denominator of (-15)/(-48)*(-66)/10 and 131/12? 48 Let p(n) = 44*n - 1. Let s be p(-1). Calculate the smallest common multiple of (-16)/20*s/2 and 14. 126 Suppose 0 = -6*a + 3*a - 606. Calculate the common denominator of -36/7 and 2 + -1 - a/12. 42 Suppose 2*t + 3*v = v + 70, 140 = 4*t + v. Calculate the lowest common multiple of t and 4. 140 Let u = 6 - 5. Calculate the smallest common multiple of 7 and u. 7 Suppose 0 = x, -7*r + 3*r + 80 = -3*x. Let p = 42 + -20. What is the smallest common multiple of r and p? 220 Let a = -26 - -60. Calculate the least common multiple of 16 and a. 272 Let n = -43/10 + 271/20. Calculate the common denominator of n and 23/14. 28 Let z(x) = x**3 - 15*x**2 + 13*x + 16. Suppose -3*g = -j - 37, -j - 4*j + 25 = 0. Calculate the lowest common multiple of z(g) and 4. 4 What is the common denominator of -121/10 and (-2)/20*(11 - (0 - 2))? 10 Let d = 1729/984 - 49/164. What is the common denominator of d and -44/21? 168 Suppose -5*x + 8 = -27. What is the lowest common multiple of (-44)/(-2)*1/2 and x? 77 Let w = -125 - -135. What is the least common multiple of w and 68/7 - 2/(-7)? 10 Let r = -24 + 25. Let n = r + 23. What is the lowest common multiple of n and 20? 120 Let z be (-1 + -1)*(-50)/2. What is the common denominator of 73/12 and (-36)/(-21)*(-105)/z? 60 Calculate the common denominator of ((-99)/5)/((-80)/(-50)) and 65/2. 8 Let d(n) = -n**3 + 6*n**2 + 7*n + 10. Suppose 4*m - 28 = -0*m. Suppose 19 = 4*v - v + y, 0 = -5*y - 25. What is the lowest common multiple of v and d(m)? 40 Let c = 335/10076 - -8/229. Let o = c + 373/176. Find the common denominator of o and 302/12 - 0/15. 48 Suppose -5*z + 0*d + 88 = d, -26 = -z + 4*d. Let l(t) = 2*t**2 + 13*t - 16. Calculate the lowest common multiple of z and l(-8). 72 Let j = 333 + -235. Let z = -1506 - -6073/4. Calculate the common denominator of 10/(-25) - j/(-20) and z. 4 Let i = -13835/8 + 1727. What
{ "pile_set_name": "DM Mathematics" }
w) be the first derivative of w**2/2 + 2. Let c(f) be the third derivative of 5*f**4/4 - 12*f**2 + 34. Determine c(q(y)). 30*y Let w(h) = -2*h**2 + 5. Let p(t) = -t**2 + 3. Let n(f) = 5*p(f) - 3*w(f). Let q(r) be the first derivative of 25*r**3/3 - 5254. Calculate q(n(d)). 25*d**4 Let m(w) = 2*w - 191. Let z(q) = 2*q**2 - 3*q**2 - 12*q**2 + 11*q**2. Give m(z(j)). -4*j**2 - 191 Let p(k) be the second derivative of -k**4/12 + k. Let h be ((-13)/2 - 1)*-54. Let u(c) = -6*c - h + 405. What is u(p(y))? 6*y**2 Let h(d) be the second derivative of d**4 + 119*d. Let g(f) = -58*f**2. Calculate g(h(w)). -8352*w**4 Let s(g) = 508*g**2 + 1. Let h(n) = -1588*n + 2. Calculate h(s(j)). -806704*j**2 - 1586 Let a(r) = 2*r**2 + 5*r - 5*r. Let x(h) be the first derivative of 13*h**4/12 - 28*h + 21. Let t(n) be the first derivative of x(n). Determine t(a(g)). 52*g**4 Let i(w) = -207*w**2. Let d(r) = 7*r**2 - 4. Let q(a) = 27*a**2 - 14. Let y(g) = 7*d(g) - 2*q(g). Calculate y(i(k)). -214245*k**4 Let u(g) = -16835 + 33675 - 3*g - 16840. Let r(y) = -8*y. Let k(a) = a. Let p(o) = 6*k(o) + r(o). What is u(p(f))? 6*f Let x(c) = 4076*c. Let u(z) = -3*z. Give u(x(g)). -12228*g Let o(n) = n**2 + 3*n**2 + n**2 + 3*n**2. Let w(q) = -3*q**2 + 4*q + 4. Let x(l) = -4*l**2 + 5*l + 5. Let y(v) = -5*w(v) + 4*x(v). Calculate y(o(g)). -64*g**4 Let x(s) = 2*s. Let l(w) = -149544*w**2 - 1. What is x(l(j))? -299088*j**2 - 2 Let h(j) = -17*j + 30*j - 14*j. Let v(z) = 6*z. Let f(r) be the third derivative of 25*r**4/24 + 4*r**2. Let d(l) = 6*f(l) - 26*v(l). What is h(d(q))? 6*q Let m(o) = 7*o - 11*o + 4*o - 2*o - 2*o. Let l(k) = -182*k**2. What is m(l(h))? 728*h**2 Let o(y) = 2199*y**2. Let i(s) = -11*s**2. What is o(i(p))? 266079*p**4 Let o(x) = 36*x**2. Let y = 96 + -92. Let g(q) = -q + 6*q - y*q + 0*q. What is o(g(m))? 36*m**2 Let f(j) = j. Let v(r) = -26942*r. What is v(f(o))? -26942*o Let b(q) = 14*q**2. Let r = -46 - -40. Let o(n) = n**2 - n - 1. Let v(p) = 0 - 3*p - 1 + 2*p**2 - 2. Let k(z) = r*o(z) + 2*v(z). Give b(k(l)). 56*l**4 Let q(g) = 1057*g. Let b(k) = -k**2. Calculate b(q(a)). -1117249*a**2 Let y(b) = -1. Let v(q) be the second derivative of q**3/6 - q**2/2 - 4*q. Let j(g) = -3*v(g) + 3*y(g). Let t(h) = -3*h. What is j(t(f))? 9*f Let c(f) = 1356638*f**2. Let b(t) = 2*t. Calculate c(b(w)). 5426552*w**2 Let o(r) = 2*r**2 + 2541 - 2541. Let u(k) = -26*k**2. Calculate u(o(d)). -104*d**4 Let o be 2/1 + (5 - 3). Let u(i) = -4 - 4*i + o. Let z(b) be the third derivative of b**4/12 + 11*b**2. What is u(z(j))? -8*j Let r(b) = -5*b**2 + 6*b. Let g(d) = -d + 4*d + 4*d - d - 7*d. Give r(g(n)). -5*n**2 - 6*n Let r(y) = 278*y - 149*y - 147*y. Let k(g) = g**2. Determine k(r(w)). 324*w**2 Let x(r) = 2*r**2. Let d(w) = -225159*w**2. What is x(d(t))? 101393150562*t**4 Let v(l) = -45*l**2 - 7*l. Let g(k) = -5*k + 119. What is v(g(b))? -1125*b**2 + 53585*b - 638078 Suppose -5*y - 2*o - 1 = -3*o, 4 = -y + 4*o. Let f(g) be the second derivative of -1/6*g**4 - 3*g + 0 + y*g**2 + 0*g**3. Let u(c) = 3*c**2. Calculate u(f(h)). 12*h**4 Let d(p) = 64*p - 5. Let z(v) = -55*v + 6. Let k(i) = -6*d(i) - 5*z(i). Let m(x) = -2*x. Give m(k(g)). 218*g Let z(n) = 845*n. Let u(a) = 2*a**2 - 24*a**2 + 0 + 19*a**2 + 0. What is z(u(l))? -2535*l**2 Let v(c) = -3*c. Let d(t) = 103345*t**2. What is d(v(q))? 930105*q**2 Let o(r) be the first derivative of r**4/3 + 13*r - 19. Let b(j) be the first derivative of o(j). Let v(x) = -9*x**2. Determine b(v(n)). 324*n**4 Let d(s) = 11*s. Let f(k) = -441*k - 5. Determine d(f(l)). -4851*l - 55 Let l(o) = 2*o**2 - 7*o - 7. Let i(k) = k**2 - 4*k - 4. Let h(a) = -7*i(a) + 4*l(a). Let j(t) = 42*t**2. Calculate h(j(q)). 1764*q**4 Let v(q) = 3*q. Let r be (5 + (-46)/6)/((-2)/6). Let g(n) = 16*n - n - r*n - 6*n. What is g(v(z))? 3*z Let z(y) be the second derivative of 3*y**3/2 + 28*y. Let b(l) = 7*l**2. Determine z(b(t)). 63*t**2 Let v(d) = 4*d. Suppose 6*l = l + 110. Let i(a) = a. Let j(s) = l*i(s) - 6*v(s). Let f(g) = -2*g. Determine f(j(p)). 4*p Let n(v) = -150395 + v**2 - 3*v**2 + 150395. Let a(r) = -2*r - 104. What is n(a(y))? -8*y**2 - 832*y - 21632 Let n(x) be the second derivative of -15*x + 0*x**3 + 5/12*x**4 + 0 + 0*x**2. Let s(l) = l**2. Calculate s(n(u)). 25*u**4 Suppose -4*t = m - 23, 3*t = 2*m + 8 + 1. Let s be (-1)/m - 28/(-12). Let u(p) = -s*p - 16 + 16. Let c(g) = 2*g**2. Determine u(c(f)). -4*f**2 Let d(z) = -z**2. Let x(s) be the first derivative of 2*s**2 + 1 - 13*s**2 + s**2. Give d(x(q)). -400*q**2 Let x(s) = -6*s**2. Let r(y) be the second derivative of 16*y - 1/2*y**3 + 0 + 0*y**2. Determine x(r(z)). -54*z**2 Let w(a) be the first derivative of -8*a + 13 + 0*a**2 - 8/3*a**4 + 0*a**3. Let m(j) be the first derivative of w(j). Let d(l) = l**2. Calculate d(m(q)). 1024*q**4 Let z(o) = 4*o**2. Let i(l) = 3*l**2 + 4*l - 4. Let d(w) = -24*w**2 + 12 - 86*w + 53*w + 21. Let t(j) = -4*d(j) - 33*i(j). Calculate t(z(p)). -48*p**4 Let l(g) = -3*g**2. Let m = 231 + -231. Let n(i) be the third derivative of m*i**3 + 0 + 1/30*i**5 + 0*i**4 + 0*i + 3*i**2. Determine n(l(o)). 18*o**4 Let s(a) = 32*a. Let w(k) be the second derivative of k**4/3 - 527*k. Give s(w(q)). 128*q**2 Let g(n) = n**2 - 23. Let c(d) be the first derivative of -d**3/3 - 243. What is g(c(z))? z**4 - 23 Let f(b) = -23*b + 21*b + 3*b. Let q(p) = 17*p + 20. What is f(q(c))? 17*c + 20 Let o(c) = -c**2 + 11*c - 1. Let f be o(11). Let w(d) = -15*d + 12. Let i(a) = -a + 1. Let j(p) = f*w(p) + 12*i(p). Let x(u) = -19*u. Give x(j(r)). -57*r Let g(p) = p**2 - 6*p + 28. Let v(m) = 2*m - 736. Determine v(g(c)). 2*c**2 - 12*c - 680 Let m(b) = -2*b**2. Let a(r) = -120319*r**2. Give m(a(j)). -28953323522*j**4 Let i(x) = 346*x**2 + 358*x**2 - 698*x**2. Let n(p) = 2*p**2. Calculate n(i(y)). 72*y**4 Let u(r) = 9*r**2. Suppose 37*l - 33*l = 0. Let s(n) be the second derivative of 1/3*n**3 + 3*n + l*n**2 + 0. Give s(u(k)). 18*k**2 Let t(l) = -2*l. Let c(q) = 9*q**2 + 5 - 2 - 3 - 36*q**2. Calculate c(t(o)). -108*o**2 Let j(w) = -w. Let b(y) = y**3 - 10*y**2 + y. Let z be b(10). Let d(k) = -11*k - z*k + 9*k - 4*k. What is j(d(i))? 16*i Let m be -1 - 4*4*(-6)/12. Let z(j) = 6 - m*j**2 - 9 + 3. Let p(i) = -12*i - 9. Let f(l) = -3*l - 2. Let h(y) = 9*f(y) - 2*p(y). Give z(h(d)). -63*d**2 Let s(h) = -h + 97111*h**2 + h - 97142*h**2. Let n(m) = 0*m - m + 2*m. Determine n(s(t)). -31*t**2 Let r(x) = -2*x + 11080 - 11080. Let b(d) = -375*d + 3. Determine b(r(a)). 750*a + 3 Let q(d) = -2*d. Let i(a) be the second derivative of 169*a**4/12 - 15*a. Calculate i(q(f)). 676*f**2 Let m(d) be the second derivative of -d**3/3 + 85*d. Let w(i) = -2*i. Give w(m(u)). 4*u Let b(u) = -73399*u. Let p(m) = -5*m. Calculate p(b(c)). 366995*c Let v(w) = -9*w**2. Let j(s) = -s**3 + 9*s**2 + 11*s - 7. Let y be j(10). Let p(g) = -5*g**2 + y*g**2 + g**2. Calculate v(p(x)). -9*x**4 Let r(w) = 3*w. Let l(x) = 127*x**2 + 5*x - 6. Determine l(r(o)). 1143*o**2 + 15*o - 6 Let a(z) = z**2 - 3*z**2 - z**2. Let g(h) = -39*h + 27. Let v(p) = -3*p + 2. Let x(m) = 2*g(m) - 27*v(m). What is a(x(c))? -27*c**2 Let n(s) = -11*s**2 + 242*s. Let v(f) = 4*f. Give v(n(m)). -44*m**2 + 968*m Let w(j) = 85*j. Let y(q) = 1309*q. Determine y(w(n)). 111265*n Let d(a) be the third derivative of 5*a**4/8 + 3*a**2. Let m(r) = 4*r + r - r - 3*r. Give d(m(k)). 15*k Let f(s) be the first derivative of 8 + 208*s**2 + 10 - 207*s**2. Let d(b) = 2*b**2. Determine d(f(x)). 8*x**2 Let s(z) = -2*z. Let t(r) = 366304*r. What is s(t(n))? -732608*n Let b(v) = 4*v. Let k(q) be the third derivative of q**4/24 - q**3/6 - 2*q**2 - 75*q. What is b(k(j))? 4*j - 4 Let u(h) = -7*h. Let f be ((-4)/(-14) - 0) + (-48)/(-28). Let p(t) = -91*t**2 - 3*t + 92*t**f + 3*t. Determine u(p(w)). -7*w**2 Let r(z) = 381*z. Let w(u) = 5*u. Determine w(r(p)). 1905*p Let s(m) = 7*m**2. Let y(o) = 11*o**2. Let r be y(-1). Let d(w) = -r + 11 + 3*w + 0*w. Calculate d(s(u)). 21*u**2 Let l(a) be the second derivative of -a**4/3 - a + 11. Let x(j) be the third derivative of -3*j**2 + 1/24*j**4 + 0*j**3 + 0 + 0*j. Calculate x(l(v)). -4*v**2 Let k(w) = -23*w + 6. Let r(s) = 71*s**2 - 7*s. Calculate r(k(f)). 37559*f**2 - 19435*f + 2514 Let a(h) = -33*h - 2. Let o(q) = -728*q**2. Calculate a(o(y)). 24024*y**2 - 2 Let u(m) be th
{ "pile_set_name": "DM Mathematics" }
posite number? False Suppose 4*v = k - 37036, 4*k - 5*v = 146325 + 1808. Suppose 0 = 9*p - 33*p + k. Is p a composite number? False Let w(v) = 2*v**2 - 2*v**2 + 12*v**2 - 9*v**2 + 1243 - 5*v**2 + 2*v. Suppose -3*u = -4*u. Is w(u) a composite number? True Let q(p) = -p**2 - 22*p + 27. Let b be q(-23). Suppose -b*n + 14142 = 2*n. Is n prime? True Let q(s) = -976*s - 94. Let a be q(-5). Suppose 5*o + 2*f = a, -o + 4*f + 1368 = 402. Is o a composite number? True Let n(z) be the second derivative of 83*z**4/6 + 3*z**3/2 - 14*z**2 - 5*z. Let f be n(6). Suppose -r + f = 3*r - 2*w, 0 = w - 1. Is r a prime number? False Let u = -45 + 59. Let b(i) = 16 + 6*i + 21 + 16*i**2 - u*i. Is b(5) prime? True Let m = -1346 + 35073. Is m prime? False Is ((-6)/(-18))/((-4)/(-179724)) + -8 composite? False Let x(p) = 2*p**2 + 5*p - 28. Let b be x(3). Suppose -4*m + 16094 = -b*c + 7*c, -3*c = -m - 24113. Is c a prime number? True Let b(k) = k**3 - 3*k**2 - 3*k + 12. Let z be b(3). Suppose -z*g - 7886 = -5*g. Is g a prime number? True Suppose -3*c + 6*c - 2*n = -5, -1 = -n. Let p = c + 294. Is p composite? False Let q(w) = 7613*w**2 + 2*w - 2. Let a be q(2). Is -2*45/240 + a/16 a prime number? False Suppose -4971*a + 3277682 = -4934*a. Is a a composite number? True Let y = 719393 + -405802. Is y composite? True Let h = 1740589 + 16396. Is h a prime number? False Suppose -2591 = -5*l - 4*t, -3*t - 1010 = -2*l + 2*t. Suppose -5*n = -5030 - l. Is n a composite number? False Let u = -57613 - -113216. Is u a composite number? False Suppose 17*i - 14*i = 9. Suppose -3*d = k - 8492 + 2698, -i*k = 2*d - 3865. Is d a composite number? False Suppose -5*m + 350420 + 22865 = -4*i, 0 = m - i - 74658. Is m prime? True Let g = -16638 - -28529. Suppose -3*w - 2*r - 1033 = -g, -3*w = 4*r - 10850. Is w a composite number? True Let i(d) = -7*d**2 + 13*d - 1. Let s(r) = 3*r**2 - 7*r. Let k(o) = 2*i(o) + 5*s(o). Let l be k(9). Is (6/(-30))/(l/1910) prime? True Let q(n) be the third derivative of -4/3*n**3 + 0 - 2*n**2 + 1/30*n**5 + 5/24*n**4 + 0*n. Is q(6) a composite number? True Let p(a) be the second derivative of -a**4/12 + 3*a**2/2 - 17*a. Let b be p(0). Suppose 0 = -4*c + 5*o + 298, -b*o + 47 - 118 = -c. Is c a composite number? True Let m(z) = -z + 6. Let k be m(2). Suppose -1 + k = -c. Is 2/c*(-306)/4 + -2 composite? True Let m = 1425537 + -491654. Is m composite? False Let r(a) = 20*a**2 - 8*a - 2*a**3 + 3*a**3 - 10 - 26*a**2. Let s be r(8). Is (2 + 7/(-2))/(s/(-12708)) composite? False Suppose -16085 - 21086 = -14*z - 617. Is z a prime number? False Suppose -360*a = -361*a + 982. Is a*((-21)/(-6))/7 a prime number? True Let a be (2 + 16/(-3))/((-52)/725790). Let c = a - 24348. Is c composite? True Suppose 35*v - 230 = -510. Let i(r) be the third derivative of -41*r**4/8 - 17*r**3/6 - r**2. Is i(v) a prime number? True Suppose 28*v - 15318631 = 23*v - 2*b, -5*v + 15318637 = -b. Is v composite? False Let i be (-1 + -1984)/(-8 + 7). Let m be i/3 + 2*(-3)/(-18). Suppose -5*l = -8197 + m. Is l prime? False Suppose 0 = 4*p - 2*t - 2478, -4*p - 3*t = -0*t - 2453. Suppose 2*d - p = 4543. Is (6/(-2) - -4) + d a composite number? True Let y(n) = 21*n + 7. Let a(v) = -11*v - 3. Let d(i) = 10*a(i) + 4*y(i). Let h be d(-1). Suppose h*j = 29*j - 1855. Is j composite? True Let s(k) = k**3 - 5*k**2 + 67*k + 31547. Is s(0) composite? False Suppose -4*v = -3*f - 650, -f = -2*v + v + 217. Let x = -163 - f. Is x a prime number? False Suppose 57*w - 2252346 = 2787651. Is w a composite number? True Suppose -3*c = -5*m - 2*c - 3129, -c = 3*m + 1871. Let f = 2964 - m. Is f a composite number? True Suppose 3*h = -c - 2, -3*c - 4*h = -2*h - 1. Is 3845/(3 + -3 + c) composite? True Let y(m) = 3*m**2 - 21*m - 11. Let s(o) = -4*o**2 - 12*o - 3*o - 21 - 28*o + 11*o**2. Let l(c) = 2*s(c) - 5*y(c). Is l(9) prime? True Suppose -y - u = -178363, 229*y - 227*y + 3*u = 356728. Is y prime? True Let f(w) = 350*w**2 + w + 3. Let j be f(3). Suppose -j + 1061 = -5*h. Is h a composite number? False Let j be (-2364)/(-42)*1*7. Suppose 3*y + 7*v = 10*v + 276, 0 = 3*v - 15. Let o = y + j. Is o prime? True Suppose 24901 - 3625 = 6*r. Suppose -12 = 3*p, -p - p = 2*h - r. Is h a composite number? False Is (-96)/(-72)*(-1535412)/(-16) composite? False Suppose 2*m - 23098 = -2*i, 3*i + 2*m + 14718 - 49365 = 0. Is i a prime number? True Let f = 1 + 2. Let x(j) = 1419*j + 167. Let z be x(4). Suppose -f*s - 608 = -z. Is s prime? False Let a = -13703 - -66286. Is a a composite number? False Suppose 4*y - 3*f + 746 = 19782, -2*f = -2*y + 9514. Is y a composite number? True Suppose -d + 8*k + 28590 = -8553, -2*d - 2*k + 74322 = 0. Is d composite? False Suppose -27*l - 393124 = -1298353. Is l prime? False Let d = -421 - -426. Suppose 0*m - 14164 = -d*q + 3*m, 2*q - m = 5665. Is q a composite number? True Let q(a) = 53*a**3 - 32*a**2 - 27*a + 19. Is q(18) composite? False Let t(c) = 3*c**2 - 31*c + 16979. Is t(0) a prime number? True Suppose 2*r + n = -2, -5*n + 26 = -5*r + 3*r. Let y be (r/6)/(-1 - 23540/(-23536)). Let u = -609 - y. Is u prime? True Suppose 125066 = u - 107811. Is u prime? True Let w(p) = -p**2 + 13*p + 2. Let f be w(13). Suppose -137 = -3*x - 2*h, -f*x = -x - 5*h - 23. Let o = 1728 - x. Is o a composite number? True Let d be (-2)/3 - 152/(-12). Is ((-3)/(d/(-998)))/((-14)/(-476)) a prime number? False Suppose 95 = -10*g + 145. Suppose 0 = -g*u - 3*h + 21451, -4*u + 17148 = -2*h - 2*h. Is u a prime number? True Is (-1185)/(-6)*11798/85 prime? False Suppose -170 = 4*w - 5*w + 3*c, w + 5*c - 138 = 0. Suppose -w + 5 = -9*s. Suppose s*t - t - 14224 = 0. Is t a prime number? False Suppose -u = 4*k - 2258 - 73, 0 = -5*k + 3*u + 2935. Suppose -4*i - k + 9396 = 0. Is i composite? False Let o(a) = 467*a**2 - a + 1. Let l = 402 - 399. Is o(l) composite? False Suppose -2*x - 39 = 9. Let n = x + 31. Suppose -n*s + 2018 + 6305 = 0. Is s a prime number? False Let n(q) = -q + 21. Let h be n(17). Suppose -h*w - 4*l = -5280, -l = -3 + 2. Is w a prime number? True Suppose -4*h = q - 9, 6 = 2*q - q + h. Suppose 0 = -d + 3*d - 530. Suppose -m + q*x = -d, m + 4*m - 1325 = x. Is m prime? False Suppose -61914 + 93682 = -11*j. Let u be (0 + -2078)/(4/(-10)). Let b = j + u. Is b a composite number? True Let d = -161558 - -355571. Suppose 12*r = -33441 + d. Is r composite? False Let y(d) = 195*d**3 + d**2 + 14*d + 3. Let i(n) = n**2 + 2. Let b(o) = -6*i(o) + y(o). Is b(2) a composite number? False Suppose 2443 = 4*o - 23157. Let t = o + -3299. Let d = -1642 + t. Is d a composite number? False Suppose -b + 4*c = -16745 - 9454, c - 130890 = -5*b. Is b prime? False Suppose -90*f = -84*f + 24. Is ((-5373858)/(-207))/(f/(-6)) composite? True Let u be 13/8 + 30/80. Suppose 3*p = 4*p - 2*g - 87, -172 = -2*p + u*g. Is p a prime number? False Let t(z) = -39*z**2 - 12*z + 27. Let o be t(2). Is -2 - (1615255/o - (-4)/18) composite? True Let w = -312743 - -457714. Is w a prime number? False Suppose -16*c - 5*r + 476930 = -11*c, 95351 = c - 4*r. Is c composite? True Let i = -62307 - -139624. Is i prime? True Suppose -2*y - 5*u + 8*u - 1444 = 0, 0 = 4*y - 3*u + 2882. Let l = y - -3078. Is l prime? False Suppose 0 = 2*v + f - 6 - 10, 3*v + 2*f = 25. Let h = 337 - 326. Suppose v*m - h*m = -2692. Is m a composite number? False Let i = -126044 - -261087. Is i prime? True Is -4 + 9 - (-30)/(-3) - -27091*2 a prime number? False Let j(m) be the second derivative of m**3/6 - m**2 - 5*m. Let r be j(4). Suppose 4*d + r*d = 5190. Is d prime? False Let o = -77477 + 119026. Is o prime? True Let r(x) = -24*x**3 + 495*x**2 + 69*x + 33. Let c(z) = 8*z**3 - 165*z**2 - 23*z - 11. Let n(b) = -17*c(b) - 6*r(b). Is n(23) a prime number? True Let p(u) = 14584*u + 815. Is p(2) a composite number? False Let i be (1148/49)/(-2) + 2/(-7). Is (1 - -1)*412*i/(-96) a prime number? True Suppose 1779792 = -30*f + 42*f. Is f/(-70)*((-3)/2 - 1) composite? False Let i be (36 - 29)*4/7. Suppose -i*k - 2*t + 7012 = 0, 5*k = -4*t - 662 + 9427. Is k composite? False Let z(r) = -29*r. Let s(u) = 87*u - 1. Let l(k) = 2*s(k) + 7*z(k). Let m be l(-6). Suppose -5*y + 5*x + 430 = 0, -4*y = -2*y - 3*x - m. Is y a prime number? False Is 8 + (-1361)/(-3)*147 prime? True Let s be (-6)/(6/51 - (-2756)
{ "pile_set_name": "DM Mathematics" }
6 = p + 2*z. Let v = p - 35. Let s = -735/8 - -5513/56. What is the common denominator of v and s? 7 Let x be (-160)/6*(-144)/60. What is the smallest common multiple of 14 and (-45)/12*x/(-12)? 140 Let l(a) = 7277*a. Let f be l(-1). Let b = 58145/8 + f. Calculate the common denominator of b and 17/11. 88 Suppose w = z + 1, 0*z = -2*w - 5*z - 5. Suppose w = 3*k - 1 - 20. What is the least common multiple of k and 11? 77 Suppose -u = 5*y + 2*u - 1698, -1696 = -5*y - u. What is the common denominator of (0 - (-87)/(-20)) + -1 and -2 + (-3)/((-126)/y)? 140 Suppose 0 = 6*q - 7*q + 8. Let v(k) = k**3 - 7*k**2 - 5*k - 10. What is the least common multiple of v(q) and 16? 112 Let x = -51 + 79. Let m = -42 + x. Let g = -10 - m. Calculate the least common multiple of g and 2. 4 Let l = -6 + 6. Suppose l = 3*f - f - 36. Calculate the least common multiple of 20 and f. 180 Let o = -4537 - -27299/6. Let t be 69/(-15) - (-4)/(-10). What is the common denominator of o and 2/t + 79/20? 60 Let o(k) = -9*k - 21. Let l(c) be the first derivative of 2*c**3 + c**2/2 - c + 2. What is the least common multiple of o(-3) and l(1)? 6 Let m = -1014 + 1933/2. Let t = 26095/6 - 4370. What is the common denominator of m and t? 6 Let w = 1892 - 3806. Let p = -9509/5 - w. Let j = 3650 - 25499/7. What is the common denominator of p and j? 35 Suppose 0 = 2*t - 5*t - 60. Calculate the common denominator of 87/14 and 443/t - (-8)/20. 28 Calculate the smallest common multiple of 20 and 3/(-18) + (-219)/(-18) + 2. 140 Let i(k) = k - 7. Let x be i(-7). Let h = x - -24. What is the smallest common multiple of 11 and h? 110 Suppose -v + 3*j = 3 - 18, 4*v - j = 27. What is the smallest common multiple of (-23)/(-2) + v/12 and 14? 84 Let g be (-1)/((-2)/6)*-1. Let z = 15 + -17. What is the common denominator of 31/14 and (-2226)/(-396) - z/g? 154 Calculate the common denominator of (-1)/(-4) - ((-1407)/28 + 0) and 20/13. 26 Suppose 45 - 9 = 2*g. Let z = 5177 - 46646/9. What is the common denominator of (-425)/(-45) + 4/g and z? 9 Let c(u) = -11*u + 51. Let n(w) = 4*w - 17. Let k(g) = 3*c(g) + 8*n(g). What is the least common multiple of 6 and k(13)? 12 Let t be 665326/(-100810) + (-1)/(-2). Let w = -684661198/10081 - -67916. Let y = t + w. What is the common denominator of y and -131/12? 60 Let o = -3571 - -53617/15. What is the common denominator of 12 and o? 15 Suppose -5*b - 3*j = -15, -b + 5*j = 1 + 24. Find the common denominator of (2 - b)*654/(-144) and 31/42. 84 Suppose 0 = -4*w + 5*u - 7, -2*w + 6*u = 2*u + 8. Suppose 2*n = 4*d - d + 13, w*d + 14 = 4*n. What is the least common multiple of 16 and n? 16 Let i(w) = -10327*w**3 + 2*w + 1. Let d be i(-1). Let h = d + -227265/22. Calculate the common denominator of h and -49/22. 22 Let o = -7676 - -4178. Let r = 52504/15 + o. Find the common denominator of -119/6 and r. 30 Suppose -2 = x, -4*d + d - 5*x - 46 = 0. Let u be (15/d)/(23/223). Let o = 43/23 + u. Find the common denominator of 51/5 and o. 20 Let r(g) = g**2 + 9*g - 2. Let l(a) = a - 1. Let d(u) = 5*l(u) - r(u). Let b be d(-2). Calculate the smallest common multiple of 18 and 2/(b/(-11)*-1). 198 Let q = -5409/940 - -1/235. What is the common denominator of 382/180 - 4/10 and q? 36 Let j = -22399/70 - -1621/5. Find the common denominator of j and -23/8. 56 Let r = 1/1631 - 27737/16310. Calculate the common denominator of (3/3)/((-6)/14) and r. 30 Suppose h + 0*h + 29 = 0. Find the common denominator of h and (156/114 - 2)*(-8)/(-6). 19 Let d = 1334/1515 - -39/101. What is the common denominator of 1/27 and d? 135 Let b = -123923/252 - -3460/7. Find the common denominator of b and -61/10. 180 Let q(i) = i**3 - 3*i**2 + 4*i - 2. Let u be q(2). Suppose 9 = -u*o + 27. Calculate the least common multiple of o and 168/27 + (-2)/9. 18 Let q be (-34)/85 - (-148934)/10. Let r = q + -208391/14. Calculate the common denominator of 1/1 - (-123)/(-48) and r. 112 Calculate the common denominator of -1 + -4*415/(-880) and 11/12. 132 Find the common denominator of -99/4 and (-62)/(-33)*(-54)/72. 44 Calculate the least common multiple of 12/10 - 60/(-75) and 16. 16 Let y(g) = -g**3 + 1 + 7*g + 3*g - 4*g**2 - 5*g. Calculate the least common multiple of y(-5) and 5. 5 Suppose 8*b - 4*b = -4*c - 28, -5*c - 3 = -3*b. What is the least common multiple of 5 and (-17)/c - (-2)/(-3)? 5 Suppose -2*q = -q - 2. Suppose 0 = -4*m + 20, -5*d - 5 = q*m - 5*m. Suppose -d*h - h + 24 = 0. Calculate the lowest common multiple of h and 4. 8 Suppose 2*i + 4*n - 48 = 0, 3*i + 6 - 88 = 4*n. Let d be (-4 - (-24)/4)*7. Let f = i - d. Calculate the least common multiple of 14 and f. 84 Suppose 0 = 4*l - 5*t - 8, l + t + 3*t = 23. What is the smallest common multiple of 21/l + 4/(-2) and 10? 10 Let c = 14 - 13. What is the lowest common multiple of c and 10? 10 Let q be 10/(-3)*90/(-20). Let y = 17 - q. Calculate the least common multiple of y and 5. 10 Let o = -4 - -2. Let p = 14 + o. Calculate the smallest common multiple of p and 18. 36 Let u = -7492/1905 - 1/1905. Let v = u + -146/15. Calculate the common denominator of -89/10 and v. 30 Calculate the common denominator of -2 + (-18)/8*156/(-18) and 68/9. 18 Suppose 0 = 2*i - 2*z - 5 - 17, 0 = -i - 2*z + 26. Find the common denominator of 6/(-24) + i/(-3) and 47/10. 60 Suppose 0 = 6*b - 1069 + 961. Suppose 0*o = 5*o - 10, 5*r + 5*o - 160 = 0. What is the least common multiple of b and (r/4)/(3/4)? 90 Let i = 1/274656 - -1343937583/274656. Let x = -4907 + i. What is the common denominator of 1/14 and x? 42 Let r = -23 + 26. What is the lowest common multiple of r and 6? 6 Let q = 13837/7 + -1984. Calculate the common denominator of -48/11 and q. 77 Let i = -1057638/7 - -9717472/63. Let d = i - 3160. Calculate the common denominator of 64/3 and d. 9 Let n(g) = g + 20. Suppose 0 = -10*h + 4*h + 6. Calculate the lowest common multiple of n(-14) and h. 6 Calculate the common denominator of ((-356)/(-24))/(0 - -1) and 61/9. 18 Let a = 0 - -9. What is the least common multiple of 2 and a? 18 Let x = 1 + 3. Suppose -x*q - 31 + 187 = 0. Calculate the common denominator of (-12)/q*23/(-4) and 52/11. 143 Suppose 2*s + 5*f - 22 = 0, -f + 1 + 7 = s. Let b = 3 + -4. Calculate the least common multiple of 1/1 - b - -4 and s. 6 What is the common denominator of 41/60 - (-2)/5 and -21? 12 What is the smallest common multiple of 6 and 2/4*(-13 + 19)? 6 Calculate the least common multiple of 32 and 407/33 - (-2)/12*-2. 96 Let x be (-9)/6*(-28)/6. Suppose x = -3*l + 25. Let p = 0 - -7. Calculate the smallest common multiple of l and p. 42 Let a(x) = x**2 + 6*x + 2. What is the smallest common multiple of a(-8) and 20? 180 Let c = 362352047/9 + -1085042991729/26950. Let h = -2/13475 - c. Find the common denominator of (142/(-14))/((-12)/(-7)) and h. 36 Calculate the common denominator of -35/37 and 322/(-20) - (-27)/45. 74 Let v(n) = -n**3 + 4*n**2 + 2*n + 2. What is the lowest common multiple of v(4) and 8? 40 Suppose -x + 1 + 8 = 0. Let w = x - 2. Calculate the least common multiple of 8 and w. 56 Let v = -326390/3 + 6522397/60. Let k be (-948)/50*(-20)/4. Let y = v + k. Calculate the common denominator of y and 49/5. 20 Let s(b) = 2*b**3 + b + 1. Let c be s(-2). Let x = -7 - c. Suppose 0 = 10*o - 6*o - 40. What is the lowest common multiple of o and x? 10 Suppose -2*o = -0*o + 6. Let y be -478*(-2 + 3/6). Find the common denominator of 19/5 and y/60 + o/15. 20 Let r(x) = x + 8. Let i(f) = f**2 + 2*f. What is the smallest common multiple of r(-7) and i(-3)? 3 Calculate the lowest common multiple of 24/(-20)*(-3 + -2) and 11. 66 Let y = 6 + 0. What is the least common multiple of 12 and -1*(y - 2)*-1? 12 Let c be (-16841)/(-294)*(-3)/40. Let x be 9/15*5/784. Let l = c - x. Calculate the common denominator of -29/20 and l. 20 Let d be (-1)/(-4) + 6038/(-257). Let h = -3/514 + d. Let m = -10316/9 - -1145. Calculate the common denominator of h and m. 36 Calculate the common denominator of (3 - 1)*(-85)/(-8) and 65/8. 8 Let p = 5/473 + 66/43. Find the common denominator of p and 23. 11 Let w(j) = -j**3 - 25*j**2 - 2*j - 38. What is the smallest common multiple of 44 and w(-25)? 132 Let j = 1 + 7. Calculate the least common multiple of 3 and j. 24 Find the common denominator of 71/
{ "pile_set_name": "DM Mathematics" }
2 or u? 0.02 Let g = -1041/13 - -80. Let a be (-13 - -6)*22/(-77). Which is smaller: a or g? g Suppose 0 = 2*r - 5*t + 182, 3*r + 179 = 5*t - 104. Is -98 >= r? True Let c be 80/(-14) - (-8)/(-28). Let g = -4 - c. Let r = 0 - -0.1. Which is smaller: g or r? r Suppose 5*i - 15 = -g, -6*i = -4*i - 10. Let r be (4/g)/((-32)/(-5476)). Let c = 269/4 + r. Which is smaller: c or -2? -2 Suppose -17*k = -25*k + 120. Are -11 and k nonequal? True Let g = -9161/14 - -653. Let f = 85/42 + -7/6. Let t = g + f. Which is smaller: 2 or t? t Let r(v) = -5*v**2 + v + 2. Let b be r(2). Let j = b - -16. Let w = 33 + -329/10. Is w at most as big as j? False Let t = 0 - 4. Let h = 0.3 + 3.7. Which is smaller: t or h? t Let q = 759/2 + -380. Is q not equal to -0.042? True Let n be 2/(-3) + (-6)/3. Suppose -b - 16 = -5*u, u + 0*u = -b + 8. Suppose 4*g = -12 - u. Is n greater than g? True Let a(j) = -177*j - 3183. Let t be a(-18). Suppose 6*g = 4*g - 26. Is t at least as big as g? True Suppose 77*g - 6026 = 112*g + 96*g. Suppose 2*o + 13 = -77. Which is smaller: g or o? g Let v be 14/(-8) - 4/((-96)/18). Let b = -0.073 - 56.927. Is b equal to v? False Suppose 0 = -2*i - 4*j + 4, -7*i + 2*j = -2*i - 34. Let k be (-44)/99 - (-4)/i. Suppose -5*x + 2*s = 5*s, x + 5*s = 0. Is x smaller than k? True Let u = -100 + 51. Let f = 48 + u. Is -10 at least as big as f? False Let l be 0/2 + -1 + 0. Let x be ((-1)/14)/(l/(-4)). Let z = -28 + 51/2. Is z equal to x? False Let n = -0.7 + 2.7. Let y = 228 + -195. Are n and y unequal? True Let l be (-219)/693 - 16/(-56). Let f(k) = -9*k - 18. Let p be f(-2). Is p greater than or equal to l? True Let b = 229 - 240. Which is greater: -17 or b? b Let d be 4/((-12)/(-9)) - (-20452)/(-132). Let k = -152 - d. Is 0 equal to k? False Let t be 0/1*((-60)/9 - -7). Let j be t/(6 + -8 + 4). Do j and 3 have different values? True Let g = 65.7 + -65.8. Let p be 6/(-45)*6/4. Is p > g? False Let w = 4 + -5. Let t = 30/29 + -9316/203. Let h = t - -5324/119. Are h and w nonequal? True Let q be (1/(-3))/((-8)/48). Suppose -q*z = -3*m + 3*z - 25, -5*m - 53 = 3*z. Which is bigger: m or -12? m Let d = -9682483/56 - -172895. Let u = d + 45/8. Are u and 0 unequal? True Suppose 0 = -8*f + 7*f + 64. Let i be -3*(2 - f/36). Is i greater than 3? False Suppose 16 = z + 2. Let w be (-11)/((-231)/6) + 640/z. Which is bigger: w or 45? w Let x = -0.48 - 34.52. Let a = x + 17. Let v = a + 16. Is v < -2/5? True Let c(p) = p**3 - 14*p**2 + 13*p - 6. Let s be c(13). Suppose -2*i = -i + 2. Do s and i have the same value? False Let h be -25*3/(4 + -7). Suppose h = -7*o + 2*o. Which is greater: 0 or o? 0 Let g be (69/(-9))/((-1)/(-6)). Let w = 2136 - 2180. Which is greater: g or w? w Let o be (-13)/(-7) + 7/49. Let c(p) = -p**2 + 4*p + 4. Let v be c(4). Let h be (3/o)/(14/v). Is h equal to -1? False Let v = -10 - -4. Let j = 1390/3 - 6746/15. Let f = -66/5 + j. Which is bigger: v or f? f Let r(t) = t**2 + 11*t - 24. Let j be r(-13). Let n be 14/(-1 + j + 8). Do n and 1 have different values? True Let v(s) = -36*s + 4. Let h be v(-3). Suppose -2*g + 5*l = -5*g + 76, -3*g + h = -4*l. Let i = -22 + g. Is -1 < i? True Suppose -30 = -j - 0. Which is bigger: j or 31? 31 Suppose 4*c - 4 = 4*f, 4*c + f + 0*f = 4. Let k = -137 - -55. Let b = k + 82.9. Is b at least c? False Let v(i) = -18*i + 108. Let o be v(6). Let g be 324/(-160) + 1 - -1. Is o > g? True Suppose 180 = 14*g + 166. Which is smaller: 35/26 or g? g Let v(w) = w**3 - 19*w**2 - 43*w + 16. Let t be v(21). Let u be (-1)/10*4/2. Which is greater: t or u? u Let j = -84 + 119. Let c = 40 - j. Is 0 <= c? True Let m(o) = 2*o**2 - 8*o - 19. Let q be m(9). Let j be (2/(-8) - -1) + q/(-4). Is -16 at most j? False Let g(u) = 5*u - 25. Let h be -1 + -5 + 4 - -7. Let y be g(h). Is y equal to 0? True Suppose 51 = -3*v - 21. Let s = 20 + v. Is s <= -4? True Let z be -6 + 3 - (-123)/39. Let l = -53/2 + 27. Is l at most z? False Let b(m) = -m**3 + 9*m**2 + 8*m - 21. Let c be b(8). Is c equal to 106? False Suppose 26*w - 17 = 9*w. Which is smaller: w or -10/67? -10/67 Suppose 729 = 4*u + 5*b, -3*b + 10 = 7. Is u at least 180? True Suppose d + 2*d = 0. Suppose -2 - 1 = 3*p - 3*l, d = -2*l - 4. Suppose 3*z = 7*z. Is z < p? False Let r = 663 + -12603/19. Let m be 2/2*2/2. Which is bigger: m or r? m Let m(f) = -2*f**2 + 52*f + 12. Let u be m(26). Let t = 2 - -7. Let b be (-64)/(-6) - (-3)/t. Do u and b have the same value? False Let q(g) = g**3 - 9*g**2 + 14*g. Let l be q(7). Suppose -2*h + l*h + 198 = 0. Let w be -3 - -3 - 6/h. Which is smaller: 0 or w? w Let p be -6 - -6 - (-4)/2. Suppose 0 = -0*v - v - 6. Let g be (3*2/v)/2. Which is greater: g or p? p Let l(k) = -25*k**3 + 4*k - 4. Let x be l(2). Which is greater: -0.1 or x? -0.1 Let l = -10 + 25. Let b(v) = -46*v**2 - 1562*v + 80. Let g be b(-34). Which is smaller: l or g? g Let p = 1 - 1. Suppose 53*k = -4*b + 51*k - 40, 4*k + 20 = -3*b. Which is smaller: p or b? b Let l = -3.1 + 3. Let d = 234 - 236. Which is bigger: d or l? l Let t(o) = -5*o + 102. Let b be t(-2). Is b at least as big as 225/2? False Let d(a) = 8*a - 23. Let h be d(-14). Let r be (-13 + -2)*5/h. Is -1 <= r? True Let n be (-7)/(-5)*(-25)/30. Suppose 0 = 3*k + k + 8. Is k greater than or equal to n? False Let c be 2 + -2 + 20/26. Let r = 7.97 - 7.97. Which is bigger: c or r? c Suppose -4*s = -0*s. Let o(h) = h + 11. Let j be o(-8). Suppose s = j*n - 2*n. Which is smaller: -1/4 or n? -1/4 Let a be (-86)/(-6) + 6/9. Let u = 186 + -171. Is a smaller than u? False Suppose 0*v = 3*v - 2*r - 47, -v = -5*r - 7. Suppose -2*p = 23 + v. Are p and -22 equal? False Suppose 0 = -s + 5 + 16. Let p = -18 + 27. Let d = p + 12. Are s and d non-equal? False Let r = -26 - -29. Let j be 3 - (-2)/86*(-130 + r). Is 0 at most as big as j? True Let a be (-2)/5*15/(-9). Let w be 3/(1 - 4)*0. Suppose 4*t + 4 = w, -3*v - 2*t = t + 3. Is v != a? True Let l be (-2 - 2/(-4))/(-3)*0. Let k be (4/(-12) - -1)/(-30). Is k less than l? True Let k = 1.2312 + 0.2398. Let h = -1.43 + k. Which is smaller: -1/2 or h? -1/2 Let z = 8.6 - -31.4. Is z greater than -2? True Let k be 4/(-14) - (-720)/168. Which is smaller: k or 9? k Let t(m) = 7*m**2 + 9*m - 13. Let u(h) = h**2 + h - 1. Let d(l) = t(l) - 6*u(l). Let q be d(-5). Let s be 10/4*(-6 - -8). Which is smaller: s or q? q Let i(l) = -2*l**2 + 42*l - 26. Let y be i(16). Is 133 at least as big as y? False Suppose 3*r = -3*w - r - 465, -5*w = -5*r + 740. Which is bigger: w or -153? w Let q = 15 - 26. Let u = q + 15. Suppose -2*v = -3*c + c + u, -v - 5 = -4*c. Is c at least as big as 1? True Suppose -l - 3*l = 0. Let p = l - 0. Suppose p*g = 4*g. Is 4 less than g? False Let i = 797 - 468. Is -1 greater than i? False Let q be 0 + (-6)/(5 - 7). Which is smaller: 8/5 or q? 8/5 Let w(j) = -4*j**3 + 8*j + 2. Let k be w(-3). Let v = k - 83. Which is bigger: v or 22/9? v Suppose 5 - 11 = -3*z. Suppose -4*c = 2*g + z, 3*g - 2 - 4 = 3*c. Is g at least 1? True Let p = 2 + -3. Let z = -3408 + 3408.16. Which is smaller: z or p? p Let b = 9040/3 - 2959. Which is greater: 53 or b? b Suppose 0*x + 2*x - 32 = 0. Let m(y) = -21*y - 59. Let k be m(-3). Suppose 2*f = h - k*h - 1, 2*f + x = 2*h. Which is bigger: h or -0.1? h Let j be 1 + (-147)/(-51) - (-6)/51. Let z = 19 - 19. Is j > z? True Let w = 31 + -46. Let o = -20 - -7. Which is smaller: o or w? w Let y(w) = w**3 - w**2 - 2*w - 13. Let g be y(3). Are 1/26 and g unequal? True Let n = -7.4 - -6.7. Is n > -2/3? False Let b(z) = z**3 + 7*z**2 - 16*z + 19. Suppose -10*n = -14*n - 36. Let k be b(n). Is 2/19 at most k? True Suppose -5*h = 5 - 5. Let i = -24 - 0. Let k be (-38)/i - (-3)/(-12). Which is greater: k or h? k Let r = 63 - 4283/68. Which is smaller: 0.4 or r? r Suppose 0 = 8*l + 50 - 50. Which is greater: -2/195 or l? l Let l = -0.99 + 1.09. Let v = 22.037 + -0.037. Is l at most as big as v? True Let a = 0.59 - -0.11. Let t = 0.8 - a. Let u be (-5)/2*1/(-25). Is t less than u? False Suppose 9*w + 9 = -4*i + 8*w, -4*w - 2 = -i. Let r be 38*(-2)/(-16)*4. Let t be i/(-12)*(r + -10). Which is bigger: 1 or t? t Let j be (-5)/23*(-24)/(-60). Suppose 3*c = 4*x - 35, 4*c = -4*x + 2*x - 10. Suppose 3*r - 3 + 4 = -u, u + 1 = x*r. Which is smaller: r or j? j Let y be 5 + (-94 - -
{ "pile_set_name": "DM Mathematics" }
et q be 0*(28/8 + -4). Let a be q/4 + -3 + 7. Solve i = -a*r - 20, -5*i - 16 = -2*i + r for i. -4 Let w be 2/6 + 88/24. Solve 3*l - 8 = -l + 4*z, 0 = -5*l + w*z + 7 for l. -1 Let r(h) = 4*h**2 + 12*h - 5. Let k(w) = 5*w**2 + 13*w - 6. Let o(p) = 3*k(p) - 4*r(p). Let y be o(-9). Solve l = y*b + 7 + 2, l + 5*b + 12 = 0 for l. 3 Suppose -2*g = -3*d - 11, 5*g - 5*d - 22 = -3*d. Solve -5*y + l = -17, -g*y + y - 3*l = -21 for y. 4 Let t(d) = -d**2 - 3*d + 1. Let k be t(-4). Let o be 0*((k - -3) + -1). Suppose y + 2 - 6 = o. Solve v + 20 = 5*v - 5*z, -2*z = y*v - 20 for v. 5 Let v(h) = h**3 - 8*h**2 + 6*h + 9. Let i be v(7). Let k be ((-4)/10)/(7/(-70)). Suppose k*q - 3*q - 2 = 0. Solve -2*d - 4*x + 2 = -5*d, d - i*x + q = 0 for d. 2 Let i(p) = -p + 4. Let c be i(4). Let k be (-1 - -1)/(-1 - c). Let r be ((k/(-1))/(-3))/(-2). Solve 2*d - 16 = 4*m, -5*d + 4*d + 3*m + 12 = r for d. 0 Let z(j) = -j**2 + 5*j - 4. Let a be z(4). Solve 28 = -2*k - k - 5*r, a = -k + r + 4 for k. -1 Let o be (-8)/12*6/(-4). Let j(y) = -y**3 + 7*y**2 - y + 9. Let g be j(7). Solve -c + 0*c = -o, 0 = -4*d + g*c - 18 for d. -4 Let q = 9 - 4. Suppose -q*x + 0*x = 0. Solve -2*a + s = -8, -7*a + 4*a + s + 11 = x for a. 3 Let y be 39/26 - (-2)/4. Solve 5*f + 13 = -2*g, -5*f + 2*f = y*g + 11 for f. -1 Suppose -w + 0 = -10. Solve w = -5*m, -5*f = 3*m + 2*m - 10 for f. 4 Suppose -p + 3 = -2*a, a - 6*a = 5*p - 30. Solve -4*d - d + 29 = 4*u, 2*d - p*u = 5 for d. 5 Let d(q) = -q**3 - 7*q**2 - 7*q + 2. Let m be d(-6). Let r be 1*-1 + 5 + -1. Solve 2*o - 12 = -3*i, r*o - 28 + m = -5*i for i. 4 Suppose -11*f + 93 = -6. Solve -4*u - 3 = -5*n, -4*u = -f*u + 5*n for u. 3 Let r be -1*(2 + -2) - -3. Solve 0 = -2*a - 4*z - 7 + r, -5*a - 5*z - 5 = 0 for a. 0 Let u(k) = -k**2 + 6*k + 10. Let i be u(7). Let w(q) = -q**3 - 7*q**2 - 5*q + 6. Let v be w(-6). Solve -y = n + i*y - 15, 3*n - y + 7 = v for n. -1 Let p(k) = -k**2 - 12*k - 18. Let m be p(-10). Solve -4*f = -2*f + m*h - 14, -3*f + 29 = 5*h for f. 3 Suppose 0 = -x - 2*j - 5 - 7, 3*x + 4*j + 26 = 0. Let q be x*1*21/(-14). Solve 3*l + 3*p + 0 = 9, -l - q*p = -13 for l. -2 Suppose -3*g = -2*n - 65, -30 = -2*g - 2*n + 6*n. Solve 0*v - 4*v = c + g, 5*v + 15 = 2*c for v. -5 Let t be (-33)/(-3) + (-2)/(-1). Suppose v = 80 - 76. Solve 3*i = 5*d + 18, -2*d + v*i = d + t for d. -3 Suppose -4*v + 36 = 8. Let y = 11 - v. Suppose c - y = f - 2, c + 5*f - 8 = 0. Solve 2*k = -c*o - 3, -5*k = 4*o - o + 3 for k. 0 Let i(u) = u**3 + 9*u**2 + u + 12. Let b be i(-9). Solve 0 = 5*o - v + 1, 4*o - b = -4*v + 1 for o. 0 Let x = 114 - 112. Solve -13 = -5*q - x*i, 2*q + 7 = 4*q - i for q. 3 Let t = -154 - -158. Suppose -1 = -4*u + u - g, 4*u = -4*g + 4. Suppose u = 3*w - 16 - 8. Solve 2*v - t*v = 2*z - w, 5 = 5*z for v. 3 Let y be (8/(-12))/(4/(-30)). Suppose 3*r = -y*p + 12 + 24, 0 = -4*p - 12. Solve 4*d = -3*z - 18, 4*z + 4*d = d - r for z. -2 Suppose -r + 0*i + 2*i + 6 = 0, -3*r - 2*i = -2. Solve 5*s - r = 3*a + 3*s, -6 = 3*s for a. -2 Suppose -4*c = j - 49, -5*c + 12*j + 55 = 7*j. Solve -5*b + c + 3 = 0, 0 = 5*x - 5*b for x. 3 Let n = -6 - -9. Solve 0 = -n*l - 5*c - 20 + 49, -3*c + 6 = -2*l for l. 3 Suppose 5*a + 6 = 3*a, 4*s = 3*a + 17. Suppose s*r - 7*r = -20. Solve d + 0*d + 5 = 0, i - r*d = 20 for i. 0 Suppose 7 + 9 = 4*x. Let u = x + 1. Solve -3*o = o - 5*h + 8, 0 = -u*o - 5*h - 10 for o. -2 Suppose 0 = 3*o + 4*y + 16, 6 + 14 = -5*y. Suppose -36 = -5*c - 2*f, 3*c - 4*c - 2*f + 4 = o. Solve -16 = 5*d + 3*h, -d - c = -0*d - h for d. -5 Let u(r) = -3*r + 5. Let j(x) = 2*x + 1. Let l be j(2). Suppose 0 = -a - 11 + l. Let k be u(a). Solve 0*f = -3*f + 4*t + 11, k = 5*f - 2*t for f. 5 Let x(n) = -n**3 + 5*n**2 + n + 3. Let m be x(5). Solve -2*k + 5*p - m = -k, -13 = 4*k - p for k. -3 Suppose -5*n - 2*j - 4 = 0, -3*j = 6*n - 3*n - 3. Let u(r) = -1 + 6 - 4*r - 3 - 3*r. Let t be u(n). Solve -4*m + 3*f - t = 9, 2*m + 23 = 5*f for m. -4 Let m(j) = -j**3 - 3*j**2 + 2*j. Let x be m(2). Suppose 2*g = 3*d + 3*g - 80, 0 = -5*d + 3*g + 152. Let s = x + d. Solve 3*t = s - 0, 0 = -2*q - 5*t + 20 for q. 0 Let f = 14 - 4. Suppose 4*i - 2 = f. Solve 12 = -d - 3*d, -2*g - i = d for g. 0 Suppose 19 = 3*t - 5*k, 5*t = 2*t + 2*k + 13. Solve -t*m + 3 = -3*l, m = -m + 2 for l. 0 Let t be 1/7 - 434/(-49). Solve -2*p = 6, 2*z - p + 4*p = -t for z. 0 Suppose -j + 8 + 9 = -3*f, 2*j + 5*f + 21 = 0. Suppose j*u - 1 = 7. Solve 4*r - u = 4*n - 0*n, 0 = 4*n + r + 4 for n. -1 Let y be 5*(2 + 32/(-20)). Solve -4*k + 0*z - 12 = -3*z, 0 = -4*k - y*z - 12 for k. -3 Let z = -48 + 55. Solve 7 = 5*k + 3*u, -5*k + k - u + z = 0 for k. 2 Let l(q) = 2*q**2 - 2*q - 7. Let f be l(3). Let d(x) = 0*x**2 - x**2 + 4*x + 2*x. Let y be d(f). Solve -10 = -5*w, 11 = -y*j - 0*j + 3*w for j. -1 Suppose 0 = -3*w - 18 + 39. Solve 4*q + 4*r = w*q + 23, -20 = -4*r for q. -1 Let a be (5/15)/(2/18). Suppose 0 = a*k - k + 4. Let i be (-6)/9*-3 - k. Solve -2*y + 12 = i*x, -3*y + x + x - 6 = 0 for y. 0 Let n = -14 - -20. Suppose 2*o + 2 = n. Solve -u = m - 7, -2*u = -m - 0*m - o for u. 3 Let i be 3 - (7 + (-2 - 2)). Let r be 2*(-2)/(-4)*0. Let v = r - i. Solve -4*w - 4*k + 12 = 0, v*k - 5*k - 5 = w for w. 5 Let i(f) = -6*f**3 - f - 2. Let w be i(-1). Solve -2*t = -k + 6, -t = -0*t + w for k. -4 Suppose 4*k + 4*b = 20, 6 = -4*k + 5*b - 1. Suppose k*h = 14 + 154. Let g be h/22 - 12/(-66). Solve 0 = g*o - 0*o - 5*m + 41, 0 = -3*o - 2*m - 2 for o. -4 Suppose 4*t + 15 + 5 = 0. Let z(f) = f**3 + 5*f**2 - 2*f - 6. Let h be z(t). Solve -2 = -h*v + 2*m, -m + 3*m = v + 7 for v. 3 Let t = -22 + 28. Solve -w - u - 5 = 0, -2*u + 10 = -t*w + 3*w for w. -4 Let s(m) = 0 - m + 2*m - 1. Let j be s(4). Solve j*b + 3 = -4*u, -b = -u - 2*u - 12 for u. -3 Let m(o) = o**3 - 4*o**2 - 9*o + 7. Let t be m(6). Suppose -4*a + t = a. Solve -5*k = 4*v - 2 + 14, a*v = -5*k - 15 for v. -3 Suppose -5*d = -5*i + 40, -4*i - 1 = -i + 2*d. Suppose i*g - 2*g - 6 = 0. Suppose -22 = -4*c - g. Solve -1 - 3 = -3*t + c*w, -4*t - 3*w = 28 for t. -4 Let s(l) = 3*l**2 - 4*l - 4 + l**3 + 4*l - 2*l. Let b be s(-3). Solve -j - b = q - 3, -3*q = -3*j + 3 for j. 1 Suppose -10 + 0 = -g. Solve -2*t = 4*v + g, -10 = 5*t + 4*v + 9 for t. -3 Let q be (-1 + 16)/3 + -3. Solve 4*m + 5 = d, -q*d - m - 3 = -4 for d. 1 Let t = -3 - -3. Let u be (-2 + t)*(-27)/6. Suppose 0 = -5*v + u + 1, 0 = -2*l - 5*v + 16. Solve -l*r - 2 = -7*r - s, -3*r = 5*s - 10 for r. 0 Let v = 19 - 11. Suppose v = 4*c + 2*g, 7*c - 2*c - 3*g = 32. Solve 33 = -4*j + c*d + 1, -2*j + 5*d - 31 = 0 for j. -3 Let z(u) = 35 - 15 + u - 3*u + 3*u. Let p be z(0). Solve -2*i - 5*h - p = 0, 0*i - 4*i + 4 = -h for i. 0 Suppose -5*l = -3*g - 12, -3*g + 0*g + 15 = 4*l. Solve 3 = -2*f + 5*d, -f - 3*f + d + l = 0 for f. 1 Suppose 43 = h - 2. Let x = h + -31. Suppose 3*d = 4*y - 2, 4*d + 5*y = 2*d + x. Solve -10 = d*n - 3*u, 4*u - 11 = 2*n + 3 for n. 1 Let m be (2 + -3)/((-2)/4). Let a be 2*(-21)/12*m. Let p = a - -9. Solve 1 = 2*c + i - p*i, -3*c = -2*i for c. 2 Let i(l) be the second derivative of l**5/20 - l**4/3 + 5*l**3/6 - l**2 + 5*l. Let s be i(3). Solve -26 = 2*p + 4*k, p - 3*k = s + 3 for p. -5 Let x(s) = -4*s. Let j be x(-1). Let f be 97/j + (-21)/(-28). Solve -3*o - 5*l = 22, -6*o = -o - 4*l - f for o. 1 Let r = -18 - -22. Solve r*l + 2*j - 6*j = -16, l = -5*j + 14 for l. -1 Let s = -60 - -72. Solve 4*n - s = -3*w, 0*w + 2*w - 8 = n for n. 0 Suppose 0 = t - 0*t. Let u = 24 - 13. Let d = 84 + -82. Solve s - 3*k - u = 0, d*k + 19 = 3*s - t for s. 5 Suppose -l = -2 + 1. Let p be -6*((-6)/4 - l). Let b be ((-18)/p)/(2/(-5)). Solve -8 = -4*w + 5*v - 10*v, w - b*v + 15 = 0 for w. -3 Let g = -12 + 17. Let n = 2 - -1. Suppose 3*t = 5*k + 2, -1 - 5 = -n*k. Solve -2*p - 2*p = -u - t, -g*u = -p - 18 for p. 2 Let x = 167 - 164. Solve -4*m - 7 = -x*r, -2*r - m + 20 = 4*m for r. 5 Suppose 0*u + 24 = u. Let z be (-6)/u - 34/(-8). Solve -g = -7*h + 2*h + 24, -z*h = -4*g - 32 for g. -4 Let r be 2*2 + 0 + -4. Solve 5*d + 4*u = -r*u - 11, -4 = -4*u for d. -3 Suppose -3 = -z + 1. Let t = 6 - z. Solve -5*q - 3*p + 9 = -t*p, -5*p = 2*q - 22 for q. 1 Suppose 3 = 9*n - 15. Solve -n*t + 1 = 3*d, -5*d = t + 3*t - 5 for d. -3 Let q be ((-6)/4)/(3/(-24)). Let j be 4/8*0/(-2). Solve -u + j*u + q = 3*l, 3*l - 21 = -4*u for l. 3 Let n be (-9 - -3)*
{ "pile_set_name": "DM Mathematics" }
-812 divided by 116? -7 Calculate -3 divided by -24. 1/8 Divide 5 by 268. 5/268 Calculate -6328 divided by 226. -28 Divide -1680 by -336. 5 -1086 divided by -2 543 What is 0 divided by 1124? 0 Divide -36 by -5. 36/5 What is 543 divided by 17? 543/17 Divide 104 by -6. -52/3 Calculate 5 divided by 141. 5/141 -84 divided by 2 -42 What is 6751 divided by -157? -43 3 divided by 2 3/2 Divide -112 by -4. 28 What is 36 divided by -2? -18 88 divided by 22 4 18 divided by 1 18 Calculate 2 divided by 1. 2 Divide 50 by 50. 1 Divide 8 by 453. 8/453 42 divided by -3 -14 Calculate -10 divided by 106. -5/53 Divide 22 by -1. -22 Divide -9 by 1. -9 Calculate -108 divided by 2. -54 Divide 880 by 5. 176 Calculate 2 divided by -3690. -1/1845 Divide 31261 by 2. 31261/2 What is 13 divided by -3? -13/3 What is -234 divided by -18? 13 Divide 0 by 561. 0 Calculate -19 divided by -1. 19 Calculate -9432 divided by -1572. 6 Divide 13 by 248. 13/248 What is -149 divided by 149? -1 What is 248 divided by -62? -4 What is -306 divided by 5? -306/5 Calculate -3 divided by -130. 3/130 What is -280 divided by -70? 4 -14240 divided by 8 -1780 Calculate -302 divided by -151. 2 Divide 129 by 17. 129/17 Divide 0 by 83. 0 Divide -2 by 111. -2/111 What is -5348 divided by -2674? 2 Calculate 1350 divided by -1. -1350 Divide 9312 by -6. -1552 Calculate 30105 divided by -669. -45 4 divided by -82 -2/41 What is -9381 divided by 3? -3127 240 divided by 80 3 What is 8 divided by 17? 8/17 What is -3 divided by 280? -3/280 Calculate 174 divided by 6. 29 Divide 0 by -68. 0 Divide -2517 by -6. 839/2 -566 divided by -4 283/2 Calculate -5 divided by 112. -5/112 1228 divided by 4 307 1 divided by 243 1/243 1 divided by -111 -1/111 What is 4819 divided by 1? 4819 What is 8862 divided by -4431? -2 Calculate 1975 divided by -25. -79 Divide -2737 by -1. 2737 2130 divided by 426 5 Divide 233 by -1. -233 Divide 20304 by 4. 5076 What is 3952 divided by 19? 208 -39 divided by -12 13/4 What is 1645 divided by -4? -1645/4 What is -1564 divided by -34? 46 What is -232 divided by 4? -58 What is 120 divided by -18? -20/3 What is 1036 divided by 4? 259 Calculate -540 divided by -2. 270 What is -1197 divided by -133? 9 Calculate -1 divided by -447. 1/447 What is -31 divided by -114? 31/114 Divide 334 by 4. 167/2 Calculate -26724 divided by 6. -4454 What is -2 divided by 358? -1/179 0 divided by 397 0 Divide 234 by -3. -78 Divide -10 by 4. -5/2 1 divided by 53 1/53 Divide -36 by 455. -36/455 61 divided by 6 61/6 Calculate 5 divided by -76. -5/76 Calculate -2466 divided by 274. -9 What is -55 divided by -11? 5 3 divided by -234 -1/78 -16 divided by -515 16/515 Divide -602 by -2. 301 Divide 298 by -149. -2 1547 divided by 17 91 Calculate 5929 divided by -539. -11 Calculate -660 divided by 132. -5 Divide -907 by -11. 907/11 Calculate 58 divided by 11. 58/11 -61 divided by -61 1 Calculate 1917 divided by -639. -3 816 divided by 816 1 What is 7360 divided by 5? 1472 What is 1114 divided by -2? -557 Divide -1185 by 5. -237 -3052 divided by 7 -436 Divide 312 by -24. -13 Calculate -3456 divided by 16. -216 Divide -4750 by 5. -950 Calculate 4 divided by 4. 1 What is -1287 divided by -39? 33 Divide -26096 by 4. -6524 2 divided by 11 2/11 Calculate -528 divided by 264. -2 What is -7 divided by -39? 7/39 Calculate 145 divided by 1. 145 -280 divided by -2 140 Divide 114 by 1. 114 What is -795 divided by 5? -159 What is 75055 divided by -5? -15011 Divide 492 by 6. 82 41 divided by 14 41/14 Calculate -1030 divided by -5. 206 3 divided by -8 -3/8 Calculate -395 divided by -4. 395/4 Calculate 8 divided by 273. 8/273 Calculate 90 divided by 9. 10 Divide 204 by 2. 102 -69 divided by 8 -69/8 What is -917 divided by 20? -917/20 Calculate -47 divided by -47. 1 What is 4 divided by -2705? -4/2705 What is 4942 divided by 1? 4942 What is 3149 divided by 3? 3149/3 What is 3606 divided by 2? 1803 What is 592 divided by -148? -4 Calculate -10 divided by -10. 1 -1 divided by -447 1/447 -5 divided by -38 5/38 239 divided by -1 -239 -2580 divided by 6 -430 -1869 divided by -7 267 Calculate 2 divided by -707. -2/707 Calculate 868 divided by 4. 217 20 divided by 4 5 Calculate -961 divided by 3. -961/3 What is -1990 divided by -995? 2 What is -3045 divided by -1015? 3 What is 385 divided by -11? -35 Calculate -79092 divided by 4. -19773 Calculate 80 divided by 4. 20 28 divided by 28 1 -8829 divided by 5 -8829/5 Divide -2885 by -4. 2885/4 What is 133 divided by -11? -133/11 What is -224 divided by -2? 112 What is 140 divided by 70? 2 Divide 450 by -25. -18 -4 divided by 39 -4/39 What is -49384 divided by 2? -24692 Calculate -3432 divided by -66. 52 Calculate -4767 divided by 4767. -1 Divide -271 by 37. -271/37 Divide -104 by -3. 104/3 2310 divided by 1 2310 What is -320 divided by -5? 64 -660 divided by -4 165 1 divided by -19 -1/19 Calculate -43860 divided by -6. 7310 -6 divided by -6 1 -18329 divided by 2 -18329/2 What is -85 divided by -2? 85/2 Divide 22087 by 1. 22087 -478 divided by -2 239 What is 432 divided by 6? 72 Calculate -28 divided by -19. 28/19 Divide -1484 by 212. -7 -36 divided by 12 -3 What is 1 divided by 248? 1/248 What is -82 divided by 5? -82/5 0 divided by 902 0 Divide 1495 by 23. 65 Calculate -5 divided by -684. 5/684 Divide 458 by 23. 458/23 -206 divided by -206 1 What is 684 divided by 12? 57 -3160 divided by -395 8 What is 32 divided by 9? 32/9 -5 divided by -120 1/24 Divide 17 by -11. -17/11 What is 2444 divided by 4? 611 -21 divided by 21 -1 Calculate -2 divided by 14. -1/7 Divide 753 by -1. -753 Divide -14 by -19. 14/19 Divide -1776 by -4. 444 Calculate -370 divided by 74. -5 What is 636 divided by 4? 159 What is -810 divided by -45? 18 3644 divided by 2 1822 -113 divided by 1 -113 Divide 33 by 1. 33 -468 divided by -4 117 Divide -557 by 34. -557/34 What is -355 divided by 71? -5 What is -45 divided by -3? 15 69 divided by 33 23/11 6 divided by 2 3 What is 26 divided by -4? -13/2 -2237 divided by -4 2237/4 Calculate 3690 divided by -10. -369 -12430 divided by -55 226 Calculate -340 divided by 85. -4 -245 divided by 6 -245/6 Divide 12228 by -4. -3057 Calculate -250 divided by -5. 50 113 divided by 3 113/3 Divide -2135 by 2. -2135/2 Divide 634 by -1. -634 Divide -2384 by -298. 8 Calculate 18 divided by 18. 1 Divide 38206 by -7. -5458 What is -1936 divided by -22? 88 What is 0 divided by 54? 0 Calculate -20 divided by 2. -10 1736 divided by -217 -8 Divide -404 by 202. -2 Divide -12930 by -1293. 10 Divide 5054 by 2527. 2 Divide -1527 by 1. -1527 11 divided by -47 -11/47 What is -2796 divided by 12? -233 What is -3 divided by 191? -3/191 -63 divided by 5 -63/5 23 divided by 5 23/5 What is -4 divided by -50? 2/25 34 divided by 2 17 Divide -4150 by 83. -50 Divide 1 by -12. -1/12 Calculate 1992 divided by -83. -24 -803 divided by -5 803/5 153 divided by 51 3 39 divided by 5 39/5 25620 divided by 2 12810 Divide 13704 by -8. -1713 Calculate -99 divided by 9. -11 What is 398 divided by 17? 398/17 Calculate -165 divided by 19. -165/19 Calculate 1272 divided by 3. 424 What is -6 divided by 2599? -6/2599 Calculate 372 divided by -17. -372/17 147 divided by -7 -21 Divide 623 by -89. -7 Calculate 23750 divided by 5. 4750 Divide 23 by 113. 23/113 Calculate 4158 divided by 7. 594 11 divided by -123 -11/123 Calculate 3 divided by -21. -1/7 What is 5 divided by -28? -5/28 Divide 111 by -8. -111/8 What is 69780 divided by -6? -11630 Calculate -2 divided by 229. -2/229 -134 divided by -1 134 What is 3652 divided by -6? -1826/3 Divide -654 by 6. -109 What is 90144 divided by -2? -45072 Calculate -53 divided by 12. -53/12 What is -3342 divided by -6? 557 Calculate -335 divided by 3. -335/3 405 divided by 5 81 What is 2590 divided by 370? 7 Divide -157 by -8. 157/8 What is 3 divided by 1134? 1/378 Divide 14 by -445. -14/445 What is -471 divided by 3? -157 Divide -8660 by 4. -2165 Calculate -5772 divided by -78. 74 -26265 divided by -3 8755 Calculate -10340 divided by -4. 2585 Calculate -1497 divided by -1. 1497 Calculate 5010 divided by -5. -1002 What is 1 divided by 357? 1/357 Divide 48 by -48. -1 Calculate -5 divided by -3488. 5/3488 Calculate -954 divided by -18. 53 What is -63 divided by -3? 21 Divide 1437 by -1. -1437 6 divided by 8
{ "pile_set_name": "DM Mathematics" }
(base 3) to base 11 -729 What is -111010101001 (base 2) in base 5? -110003 What is 35728 (base 9) in base 5? 1231141 Convert -16144 (base 8) to base 6. -53352 424141 (base 5) to base 14 52d2 What is c14 (base 15) in base 5? 41334 2212 (base 7) to base 12 561 11001010110 (base 2) to base 16 656 What is 32c8 (base 16) in base 13? 5bc0 What is -12403 (base 5) in base 3? -1100020 Convert 2525 (base 10) to base 8. 4735 What is -156133 (base 8) in base 12? -2878b Convert -10000001110011 (base 2) to base 9. -12350 What is 6062 (base 9) in base 3? 20002002 Convert -2200103 (base 4) to base 2. -10100000010011 4005 (base 6) to base 11 720 Convert -e5 (base 16) to base 4. -3211 What is 4b9 (base 12) in base 10? 717 What is a5 (base 15) in base 7? 311 -3b0 (base 14) to base 2 -1011100110 Convert 222222012 (base 3) to base 7. 111215 What is -1554 (base 8) in base 4? -31230 -3414043 (base 5) to base 13 -21718 -1000000 (base 3) to base 13 -441 Convert -4630 (base 7) to base 14. -887 -99b8 (base 14) to base 12 -134a6 What is -100001111001 (base 2) in base 5? -32134 What is 111100100101 (base 2) in base 8? 7445 Convert -10311 (base 4) to base 14. -181 Convert -7c18 (base 13) to base 10. -17428 -5a6 (base 14) to base 3 -1112201 23414 (base 10) to base 15 6e0e What is -2530 (base 6) in base 13? -396 311 (base 11) to base 15 1a0 What is -1231 (base 7) in base 16? -1cf What is 1abc5 (base 13) in base 10? 52551 What is 412202 (base 5) in base 11? a0a7 Convert -1525 (base 9) to base 4. -102011 Convert 102202 (base 3) to base 11. 269 Convert 1fd2 (base 16) to base 15. 2631 2141 (base 9) to base 5 22301 What is -1028 (base 11) in base 13? -809 11100111000111 (base 2) to base 5 433131 Convert -110001010100101 (base 2) to base 12. -12745 What is 32b1 (base 12) in base 7? 22225 -447 (base 9) to base 5 -2432 Convert -1121110 (base 3) to base 4. -102111 Convert -14512 (base 7) to base 5. -112102 Convert 145064 (base 7) to base 10. 28172 What is -2246 (base 7) in base 14? -426 What is 8033 (base 11) in base 8? 24674 Convert 202010 (base 3) to base 8. 1037 Convert -610 (base 8) to base 11. -327 -2002 (base 6) to base 3 -121002 Convert -107 (base 12) to base 2. -10010111 What is -20033222 (base 4) in base 8? -101752 What is 584 (base 11) in base 16? 2b9 Convert -91b0 (base 16) to base 8. -110660 1114 (base 11) to base 16 5bb Convert -33 (base 11) to base 15. -26 -231544 (base 6) to base 3 -1000020201 What is 351130 (base 6) in base 7? 153456 What is 3641 (base 8) in base 16? 7a1 What is -1010102 (base 4) in base 13? -1cb2 Convert 1526 (base 7) to base 14. 316 What is -3345 (base 6) in base 4? -30101 54002 (base 6) to base 2 1110010110010 What is -11110111001 (base 2) in base 7? -5523 -1573 (base 8) to base 11 -740 Convert -1382 (base 15) to base 11. -3153 -3d1 (base 16) to base 6 -4305 Convert -33729 (base 10) to base 7. -200223 Convert -121310 (base 7) to base 5. -1201411 20192 (base 14) to base 12 38798 b7c (base 13) to base 7 5502 2330132 (base 4) to base 6 131502 Convert 315133 (base 6) to base 12. 12aa9 -74 (base 16) to base 14 -84 Convert 6289 (base 16) to base 15. 771a What is -13243 (base 5) in base 7? -3062 Convert 20210 (base 3) to base 15. c3 Convert -202322 (base 4) to base 8. -4272 -365 (base 11) to base 16 -1b2 637 (base 8) to base 14 219 What is 3014 (base 5) in base 11? 31a Convert 219 (base 15) to base 3. 122120 What is 34123 (base 7) in base 13? 3c19 Convert -3b2 (base 14) to base 13. -453 793 (base 11) to base 8 1665 What is 6ae (base 16) in base 4? 122232 10a70 (base 13) to base 14 b0b4 What is -4b5 (base 12) in base 7? -2036 -12006 (base 7) to base 8 -6025 -3b6 (base 15) to base 5 -11341 Convert -113100 (base 4) to base 15. -693 Convert 1000121 (base 3) to base 13. 454 What is -5ab8 (base 13) in base 2? -11001000011010 What is -24a (base 14) in base 11? -387 220211 (base 3) to base 4 22132 50b (base 13) to base 5 11411 10100100010 (base 2) to base 12 916 3578 (base 9) to base 4 221213 What is 27045 (base 8) in base 4? 2320211 What is -1401 (base 6) in base 3? -111101 -1011001000 (base 2) to base 16 -2c8 What is -15740 (base 10) in base 14? -5a44 What is 1001011010110 (base 2) in base 13? 226c Convert -20221 (base 7) to base 12. -2a17 -3625 (base 11) to base 13 -2211 Convert -918 (base 14) to base 6. -12134 What is 122211 (base 3) in base 9? 584 What is 2613 (base 7) in base 2? 1111011110 Convert -4050 (base 6) to base 13. -53a Convert -8153 (base 10) to base 14. -2d85 What is 2040 (base 8) in base 10? 1056 Convert -100001001000011 (base 2) to base 11. -11821 615 (base 8) to base 12 291 What is -587 (base 10) in base 3? -210202 What is -33573 (base 8) in base 5? -423303 -5258 (base 10) to base 3 -21012202 Convert 221 (base 13) to base 4. 11231 -639 (base 15) to base 16 -57c What is 112101 (base 3) in base 2? 110000100 24ba7 (base 13) to base 3 10110011001 What is -1695 (base 11) in base 4? -201301 -23935 (base 10) to base 14 -8a19 23375 (base 9) to base 5 444440 -44132 (base 7) to base 13 -504b What is -8075 (base 10) in base 3? -102002002 What is 754 (base 14) in base 10? 1446 236 (base 10) to base 11 1a5 -11000 (base 4) to base 10 -320 Convert 3133 (base 9) to base 14. ba2 What is 160 (base 16) in base 6? 1344 Convert -4c8e (base 15) to base 4. -3333032 -624b (base 15) to base 8 -50443 Convert -14521 (base 6) to base 13. -10c0 Convert 10c2a (base 14) to base 6. 512530 10110011010 (base 2) to base 14 746 -376a (base 13) to base 3 -101210012 What is 133 (base 9) in base 15? 76 -428 (base 15) to base 13 -572 Convert -323 (base 8) to base 4. -3103 101 (base 10) to base 4 1211 -111021 (base 3) to base 10 -358 What is -14883 (base 9) in base 6? -115120 249 (base 12) to base 4 11121 What is -22013 (base 4) in base 15? -2d2 What is -2a4 (base 11) in base 3? -111012 -2735 (base 8) to base 11 -1145 What is -4a (base 12) in base 16? -3a What is -101011101 (base 2) in base 11? -298 Convert -211111 (base 3) to base 15. -2a7 -3875 (base 13) to base 7 -32303 320561 (base 7) to base 11 38785 What is -18852 (base 9) in base 16? -3320 211001 (base 5) to base 3 100121022 What is -620 (base 12) in base 7? -2406 -43e (base 16) to base 6 -5010 17 (base 12) to base 3 201 -42882 (base 10) to base 14 -118b0 Convert -5698 (base 13) to base 3. -121122001 Convert 3050 (base 6) to base 9. 833 Convert -300 (base 6) to base 10. -108 -1a55 (base 12) to base 4 -302201 What is -651 (base 8) in base 12? -2b5 What is 101221022 (base 3) in base 7? 32150 What is 464c (base 13) in base 2? 10011010001010 -a78 (base 12) to base 7 -4316 What is -4062 (base 10) in base 11? -3063 What is 2466 (base 10) in base 8? 4642 What is -4392a (base 11) in base 13? -22ca4 -564 (base 10) to base 12 -3b0 -88 (base 11) to base 3 -10120 What is 114330 (base 6) in base 13? 4770 Convert 27513 (base 8) to base 10. 12107 Convert -12285 (base 10) to base 12. -7139 Convert 14461 (base 7) to base 3. 12111121 -1101212 (base 3) to base 13 -608 What is 4313332 (base 5) in base 2? 10001110100000111 101001100 (base 2) to base 6 1312 What is 1022212 (base 3) in base 10? 968 What is 144042 (base 5) in base 15? 1c4c -51240 (base 6) to base 10 -6792 What is 4413 (base 6) in base 15? 47c -115225 (base 6) to base 14 -3a37 4a3 (base 15) to base 5 13203 Convert -322b (base 13) to base 8. -15466 32101 (base 4) to base 9 1224 What is 3204 (base 5) in base 4? 12231 Convert -2121 (base 4) to base 16. -99 What is -1065 (base 11) in base 9? -1827 What is 394 (base 12) in base 15? 264 What is 1c (base 14) in base 6? 42 1312102 (base 4) to base 2 1110110010010 110120 (base 3) to base 13 201 What is -31000132 (base 4) in base 12? -269ba What is -4241 (base 5) in base 6? -2351 What is 6369 (base 14) in base 2? 100001011111001 Convert -22028 (base 11) to base 5. -2010344 Convert 31320 (base 8) to base 10. 13008 331 (base 12) to base 10 469 What is 359 (base 10) in base 9? 438 1664 (base 10) to base 5 23124 What is -5042 (base 7) in base 4? -123101 Convert 1010111110010 (base 2) to base 6. 42002 Convert -1262 (base 7) to base 10. -485 Convert 202313 (base 4) to base 5. 32411 What is -1744 (base 8) in base 3? -1100220 What is -100001011 (base 2) in base 15? -12c What is 7970 (base 11) in base 14? 3b6b What is 53030 (base 8) in base 6? 250
{ "pile_set_name": "DM Mathematics" }
c) -5 a Let g(b) = 5*b**2 + 1. Let u be g(-1). Let x = -6 + 8. Let r = -1.7 + x. What is the smallest value in -0.3, r, u? -0.3 Let d be ((-27)/(-12) - 1) + -1. Let q = -0.06 + -0.04. Which is the smallest value? (a) -2 (b) d (c) q a Let j = -1.2 + 0.2. What is the second biggest value in j, -0.1, -0.4? -0.4 Suppose 3*x = 3*f + 126, x - 4*f - 18 - 33 = 0. Suppose -5*l = 2*b + x, -4*l = -0*b - 2*b + 42. What is the biggest value in 0.5, 3, l? 3 Let t = 0.07 - 1.07. Let m = 6 + -2. Let u = 425/14 - 59/2. Which is the smallest value? (a) u (b) t (c) m b Let h = 55 + -60. Which is the second biggest value? (a) h (b) -4 (c) -3 b Let i = -5 + 6. Let q = -1.3 + i. Let h = -9 + 13. Which is the smallest value? (a) h (b) -2 (c) q b Let s = 14 + -14.4. What is the fourth biggest value in -0.2, s, 5, -1/7? s Let y = -7 - -4. Suppose 2*t + 3*g + g - 8 = 0, 3*g - 12 = 0. What is the third biggest value in 0.5, t, y? t Let y = 0.7 + -0.7. Let f = 5 + y. Which is the third smallest value? (a) 0.4 (b) 0.5 (c) f c Let n = -1.08 - -1.08. What is the fourth biggest value in -2/3, 3, n, 2/3? -2/3 Let w = 6/19 - 61/133. Suppose 0 = s - 4*s - 15. Which is the biggest value? (a) -2/15 (b) w (c) s a Let o be (2/(-2))/(-9 + 7). Which is the third biggest value? (a) 2/7 (b) o (c) 2 a Let n be (-1)/(-3)*(-4 + (-87)/(-24)). Which is the third biggest value? (a) 5 (b) 2/9 (c) n (d) -0.1 d Suppose -12 = 4*d - 32. Suppose -d*q = -17 + 7. Which is the biggest value? (a) q (b) -3 (c) 1/8 a Let z be -2 - -1 - 22/(-18). Let g = 12 - 10. Let h = g - 2.1. Which is the second smallest value? (a) h (b) z (c) 4 b Let j = -9 + 10. Which is the biggest value? (a) j (b) 3 (c) 0.1 b Let x = 1 - 0.8. What is the biggest value in 2/7, 2, x? 2 Let z = -2.7 - -1.6. Let n = 1 + z. What is the third smallest value in 2/17, -3/2, n? 2/17 Let y = 13.1 - -47.9. Which is the biggest value? (a) y (b) 3 (c) 4 a Let c = -32 - -36. What is the third biggest value in c, 0.2, -2/11? -2/11 Let n(q) be the second derivative of -q**5/20 + q**4/4 + q**3 - 5*q**2/2 - 5*q. Let z be n(4). Which is the third smallest value? (a) z (b) 4 (c) 0.3 b Let v = 9 - 9. Suppose q - 5 = 0, -5*g + 2*q - 3*q - 10 = 0. Let z = g - v. What is the biggest value in -1, -0.2, z? -0.2 Let t = 6 + -10. Let o be t/20 - (-106)/130. Let d = o + -19/52. What is the second biggest value in 5, -2/7, d? d Let n = 6.025 + -0.025. Which is the second biggest value? (a) -2/23 (b) n (c) 0 c Let r = -5 + 5.2. What is the second smallest value in -0.2, r, -0.3? -0.2 Let m = 0.2 - 0.3. Let z = 7.1 - -1.9. Let p = -6 + z. Which is the biggest value? (a) p (b) -0.2 (c) m a Let w = 3 + -8. Let b = 2 + -4. Let s = -55 + 163/3. What is the biggest value in b, w, s? s Let x = 0.1 - 4.1. Let m = 4.03 - 0.03. Let j = 1 + m. What is the second smallest value in x, 1/8, j? 1/8 Let v = -0.41 + -4.29. Let i = -5 - v. What is the smallest value in i, 0, 4? i Let k = 267 - 267.4. Let x = 26/7 - 300/77. Which is the third smallest value? (a) k (b) x (c) 9 c Let q = -164/5 + 1466/45. Let c = 45 + -47. What is the third biggest value in q, 0.5, c? c Let l = -13 + 10. Which is the biggest value? (a) l (b) 2 (c) 0.5 (d) -1 b Let g = -0.57 + 0.07. Let t = g + 0.7. Which is the third smallest value? (a) t (b) 5/6 (c) 3 c Let i = 6 - 8. Let p be 2/2*(11 + -1). Let m = p + -29/3. What is the second smallest value in m, 0.4, i? m Let w = -145.7 - -144. What is the second smallest value in w, 4, 0.2? 0.2 Let f = -0.07 + -0.03. Let l = 0.2 - -2.8. Let d = l - 3.2. Which is the third smallest value? (a) f (b) d (c) -4 a Let v = 56 - 34. Let m = v - 22.3. Which is the second biggest value? (a) 0.1 (b) 2 (c) m a Let c = 8 - 8. Let f = c + -1. What is the smallest value in f, 1, -1/5? f Let l = -13 + 13. Suppose l = -4*o - w - 12, -14 = -3*o + 4*w + w. Which is the second biggest value? (a) o (b) -3 (c) -0.1 a Let v = 0.5 - 0.8. Which is the second biggest value? (a) -2/7 (b) 1/14 (c) v (d) 0.2 b Let k(r) = 2*r**2 - 16*r - 1. Let v be (-8)/(-10)*(4 + 6). Let l be k(v). What is the smallest value in l, -5, 3? -5 Let a = 101 - 106. Let n = -4 + 6. What is the third smallest value in a, 3/8, n? n Let q = -5.74 + 0.24. Let c = 5 + q. What is the third biggest value in -3/8, c, -3? -3 Let j(d) = -d + 6 - 4*d + 6*d + 11. Let i be j(-15). Let s = -4 - -5. Which is the biggest value? (a) s (b) 2/11 (c) i c Suppose -2*z + 5 = u, -5*z - 9 + 27 = -3*u. Which is the smallest value? (a) -2/11 (b) -0.3 (c) z b Let o = -0.8 + 0.8. Let u = 0.3 - o. Let h = 0.6 - u. What is the second biggest value in h, -1, -0.2? -0.2 Suppose -8*r = -12*r - 4. Which is the second smallest value? (a) -6/17 (b) -1/2 (c) r b Let z = 65.9 - 66. What is the third smallest value in -3, -3.9, z? z Suppose -3*j - 5*g + 35 = -j, -5*j = -3*g - 10. Suppose j*a = 8 + 2. Suppose -4*o - 69 = 5*n - 24, 5*o + 15 = a*n. What is the second biggest value in 1, n, -3? -3 Let s be ((-2)/(-20))/((-8)/(-16)). What is the third biggest value in -2, -6, s? -6 Let i = 4.1 - 0.1. Let j be 0/6 - 105/(-4). Let d = j + -26. Which is the third biggest value? (a) 2/3 (b) d (c) i b Let m be 14/(-10) + (-3)/(60/(-8)). Let u = 5 + -2. Let n = u + -3. What is the second biggest value in -0.3, n, m? -0.3 Let x be -2 + 3*(-24)/(-9). Suppose -x*g = 21 + 9. Let j = -5/16 - -9/80. What is the third biggest value in j, 4, g? g Let n = -2.4 - 0.4. Let u = -3 - n. What is the second biggest value in u, 2/9, 2? 2/9 Suppose 3*s + 4 = 4*r, -2*s = s - 5*r + 5. What is the second smallest value in -1/3, s, -6? -1/3 Let j = 0.261 - -0.039. Which is the smallest value? (a) -2 (b) 5 (c) 1/3 (d) j a Let n = -0.3 + 0.1. Let h = -12 - -5. Let u = h - -3. What is the second smallest value in n, u, 1? n Let b be (3/9)/((-1)/(-9)). Suppose 5 = 5*u, b*x + 5*u - 7 = 1. Let d = -2.02 - -0.02. What is the second biggest value in d, -0.1, x? -0.1 Let a = 5.1 + -4.68. Let u = 0.02 - a. Let l = 8.4 + -10.4. What is the second biggest value in l, u, 0.5? u Let x = -0.2 - -0.5. Let k = x - 0.29. Let q = k - 0.31. Which is the second biggest value? (a) q (b) 0 (c) 3/2 b Let a be 3 + -4 + 2 - 0. Let d be -2 + 1 + 5 + -1. What is the smallest value in a, 4, d? a Let v = -1.47 + 0.57. Which is the smallest value? (a) -2 (b) v (c) 3 a Let l be (-28)/10 - 1 - (-25)/(-125). Which is the second biggest value? (a) 4/9 (b) -4/7 (c) l (d) -2 b Let u = 0 + -1. Let b = u + 0.9. What is the biggest value in 1, b, 0.3? 1 Let f = 11 + -11.1. Let h = f + -2.9. Let c = -1.2 + 0.2. What is the third smallest value in 3, h, c? 3 Let q = 197.91 - 202. Let r = 0.09 + q. Let x = -4.879 + -0.121. Which is the second smallest value? (a) r (b) 0.4 (c) x a Let y = 26 - 16. Let m = y - 14. What is the second biggest value in m, 0.2, 3? 0.2 Let j = -7 + 10. Let u(b) = -12*b**3 + 5*b**2 - 2*b - 1. Let c be u(j). Let z = c - -3144/11. What is the second smallest value in z, -3/4, 5? z Suppose -j = -2*j - 6. Let g be (-2)/j - (-4)/12. Which is the third biggest value? (a) g (b) 1/3 (c) 0.4 b Let t be (-40)/(-12)*(-6)/(-45). Which is the smallest value? (a) 1/3 (b) t (c) -2 c Let o = 0.19 - -0.31. What is the fourth biggest value in 0.4, 3, 3/5, o? 0.4 Let v = 5.5 + -7. Let p = v - -1. Let x = -32.3 - -29.3. Which is the third smallest value? (a) -2 (b) p (c) x b Let a = -0.089 + -4.911. What is the third biggest value in -12, a, 0? -12 Let k = 4 + -3. Let u = k - -1. Which is the third biggest value? (a) -5 (b) 0 (c) u a Suppose 3*p + 5*w = -4 - 12, -7 = p + 2*w. Let u be (8/6)/2*-6. What is the second smallest value in p, -5, u? u Let z = 16.6 + -10.5. Let i = -0.1 + z. Let r = -5.5 + i. Which is the smallest value? (a) r (b) 0.4 (c) -3 c Let t = -439 + 9221/21. Which is the second biggest value? (a) 2 (b) -3 (c) t c Let y = 0.16 - 0.06. Let v = y + 0.3. What is the second biggest value in v, -0.3, -2/9? -2/9 Let x(w) = w**3 + 5*w**2 + 5*w + 1. Let q be x(-4). Let t = 3 + -7. Let r = t - -7. What is the third biggest value in q, r, 1? q Let g = -0.19 - -0.29. Let b = -2 + 4. What is the biggest value in b, g, -5? b Suppose 0 = -5*b - 5, -t = -4*t + 5*b + 5. Suppose t*h + 8 = -2*h. W
{ "pile_set_name": "DM Mathematics" }
0*v. -(v - 1)*(v + 1)/2 Let f(h) = -8*h**2 - 4*h. Let x(t) = -t**2 - t. Let z(r) = -f(r) + 4*x(r). Let z(l) = 0. What is l? 0 Let j = 13 + -10. Determine p, given that 0*p + 4*p**j - 1 - 2*p**4 + 3 - 4*p = 0. -1, 1 Let u = 1/155 + 303/1085. Let m = 8/77 + 2/11. Solve 0*r + 0 - u*r**2 + m*r**3 = 0. 0, 1 Let d(h) be the second derivative of h**5/45 - h**4/27 - 39*h. Factor d(p). 4*p**2*(p - 1)/9 Let f = -26 - -26. Let u(q) be the third derivative of f + 0*q**3 - 1/60*q**6 + 0*q**4 + 1/60*q**5 + 1/210*q**7 + 0*q + 2*q**2. What is z in u(z) = 0? 0, 1 Let z(v) = v**2 + 1. Let i(x) = -x**2 + x - 1. Let h(w) = i(w) + 2*z(w). Let q(d) = 8*d**2 + 6*d. Let j(c) = 2*h(c) - q(c). Factor j(a). -2*(a + 1)*(3*a - 1) Solve 3/2*a**2 + 9/2*a**3 - 3 + 3/2*a**4 - 9/2*a = 0 for a. -2, -1, 1 Suppose -4*v + 20 = v, 3*v = 5*c - 8. Let h(z) be the first derivative of -z**2 + 4/5*z**5 + 1/3*z**6 + 0*z + 0*z**c - 3 - 4/3*z**3. Solve h(i) = 0 for i. -1, 0, 1 Let b(a) = -a**5 + a**4 + a**3 - a**2 + a - 1. Let x(y) = -6*y**5 - 9*y**4 + 33*y**3 - 15*y**2 + 12*y - 15. Let t(g) = -15*b(g) + x(g). Factor t(h). 3*h*(h - 1)**3*(3*h + 1) Let v(n) be the first derivative of 3*n**5/25 - 3*n**4/5 + 6*n**3/5 - 6*n**2/5 + 3*n/5 - 8. Factor v(t). 3*(t - 1)**4/5 Let c(p) = 147*p**4 - 60*p**3 - 366*p**2 - 177*p - 27. Let b(m) = -147*m**4 + 59*m**3 + 366*m**2 + 176*m + 28. Let w(x) = 3*b(x) + 4*c(x). Factor w(y). 3*(y - 2)*(y + 1)*(7*y + 2)**2 Let v(g) be the third derivative of -g**7/420 + 7*g**6/240 - 3*g**5/20 + 5*g**4/12 - 2*g**3/3 + 6*g**2. Factor v(b). -(b - 2)**3*(b - 1)/2 Suppose 0 = v + 3*a - 2*a - 7, 10 = 2*a. Factor -1/3 - 1/3*s**v - 2/3*s. -(s + 1)**2/3 Factor 6*d**3 + 5*d + 4 - 26*d + 102*d**2 - 92*d**2 - 3*d**4 - d**5 + 5. -(d - 1)**3*(d + 3)**2 Let x(i) be the first derivative of i**6/30 + 11*i**5/60 + 5*i**4/24 - i**3/3 + 2*i**2 + 1. Let h(c) be the second derivative of x(c). Factor h(g). (g + 1)*(g + 2)*(4*g - 1) Let m(p) = p**2 - 5*p - 1. Let f be m(7). Let b be (f - 9) + (-2)/2. Factor b*s - s**5 + 3*s**4 + s**4 - 6*s**3 + 4*s**2 - 4*s. -s*(s - 1)**4 Let l be (-3 - (-3 - 1)) + 2. Factor m + m**2 - 1 - 10*m**3 + m**3 + 8*m**l. -(m - 1)**2*(m + 1) Find d, given that 2/5*d**2 + 2/5*d**3 + 0*d + 0 = 0. -1, 0 Find m such that -2/3*m**3 - 4/3*m**2 + 2/3*m**4 + 0*m + 0 = 0. -1, 0, 2 Factor w + 1 + 3 + 7*w + 9*w**2 + 4*w. (3*w + 2)**2 Let m(x) = 47*x**2 - 26*x + 2. Let i(w) be the first derivative of -46*w**3/3 + 25*w**2/2 - w + 4. Let j(k) = -2*i(k) - 3*m(k). Factor j(q). -(7*q - 2)**2 Let w(o) be the first derivative of -o**5/5 - o**4/4 + o**3/3 + o**2/2 - 8. Factor w(h). -h*(h - 1)*(h + 1)**2 Let u(g) = -2*g - 8. Let x be u(-8). Suppose 13*o - x = 9*o. Factor 0 - 2*z**o - 3/2*z**3 + z**4 + 1/2*z**5 + 2*z. z*(z - 1)**2*(z + 2)**2/2 Let a(y) be the second derivative of y + 1/12*y**3 - 1/40*y**5 - 1/12*y**4 + 1/2*y**2 + 0. Determine o, given that a(o) = 0. -2, -1, 1 Let k(f) be the first derivative of -f**4/32 + f**3/24 + f**2/8 + 11. Factor k(n). -n*(n - 2)*(n + 1)/8 Suppose 273*w - 10 + 1948*w**3 + 63*w + 1176*w**2 + 42 - 576*w**3 = 0. Calculate w. -2/7 Suppose -4*f - 12 = -20. Let q(d) be the first derivative of 0*d - 2/3*d**3 + f - 2*d**2. Factor q(r). -2*r*(r + 2) Let v(w) be the first derivative of -3*w**4/2 - 11*w**3/2 + 9*w**2/4 - 11. Let v(k) = 0. Calculate k. -3, 0, 1/4 Suppose 596*b**2 - 2*b**3 + 4*b**3 - 608*b**2 + 18*b = 0. Calculate b. 0, 3 Let v(n) = -7*n**3 - 19*n**2 - 17*n - 8. Let f(g) = -13*g**3 - 37*g**2 - 35*g - 16. Let r(l) = -3*f(l) + 5*v(l). Factor r(k). 4*(k + 1)**2*(k + 2) Let z(a) be the first derivative of -a**6/48 - a**5/10 + 3*a**4/16 + a**3/6 - 5*a**2/16 - 15. Determine c so that z(c) = 0. -5, -1, 0, 1 Let t(z) be the second derivative of -z**4/4 - 5*z**3/2 - 6*z**2 + 22*z. Factor t(d). -3*(d + 1)*(d + 4) Let b(f) = f**3 - 4*f**2 - 5. Let c be b(4). Let g be (-6)/(-4)*(c + 17). Factor -3*w - 29*w + 42*w**2 + 2 + 6 - g*w**3. -2*(w - 1)*(3*w - 2)**2 Let t be (-11)/(-3) - 20/30. Let d = 6 - t. What is s in 4/9*s + 0*s**2 + 2/9 - 2/9*s**4 - 4/9*s**d = 0? -1, 1 Suppose -5*t + 3*r + 30 = 0, t - 16 = 5*r + 12. What is k in -2 - 225/2*k**2 + 162*k**t + 26*k = 0? 2/9, 1/4 Let a be (-39)/520*(-2)/36. Let f(r) be the third derivative of 0*r - a*r**5 - 1/6*r**3 + 1/24*r**4 + r**2 + 0. Factor f(y). -(y - 2)**2/4 Let i(o) be the first derivative of -3*o**5/5 + 3*o**4/2 - 3*o**2 + 3*o + 5. Suppose i(x) = 0. What is x? -1, 1 Let g be 2/4*(3 + 3)/12. Solve g*l**3 - 1/4*l**4 + 0 + 0*l + 0*l**2 = 0 for l. 0, 1 Let m(z) = -z**2 + 3*z + 2. Let g be m(2). Let i = g - 1. Let 0*c**5 + c**5 + 3*c**3 - 4*c**i = 0. Calculate c. -1, 0, 1 Let v(m) = m. Let x be v(4). Suppose -5*o + 6 = -l, -x*o = -2*o + l - 8. Find p such that p**3 - 3*p**3 + 0*p**3 + 2*p + 2*p**2 - o*p**4 = 0. -1, 0, 1 Let x(o) be the first derivative of -1/12*o**3 + 0*o + 2 + 0*o**2. Factor x(c). -c**2/4 Find x, given that 8/7 + 2/7*x**2 - 8/7*x = 0. 2 Let d(h) be the third derivative of -h**8/2688 - h**7/840 + h**5/240 + h**4/192 + 18*h**2. Factor d(g). -g*(g - 1)*(g + 1)**3/8 What is n in 0 - 18/7*n**2 + 9/7*n**4 + 0*n - 3*n**3 = 0? -2/3, 0, 3 Suppose 11 = -2*i + 1. Let n be 3/i + (-65)/(-25). Factor -2/3*k + 0 + 2/3*k**3 + 0*k**n. 2*k*(k - 1)*(k + 1)/3 Factor 0 + c**3 - 1/2*c**2 + 0*c - 1/2*c**4. -c**2*(c - 1)**2/2 Let a be -1 - (-5 - (-1)/(-1)). Let l(f) be the first derivative of 0*f**4 + 0*f**3 + 0*f + 0*f**2 + 1 + 2/5*f**a. Determine p, given that l(p) = 0. 0 Suppose -2*k + 7 = 3. Let v be (k + 0)*(-1)/(-2). Factor -v - 1/3*n**2 - 4/3*n. -(n + 1)*(n + 3)/3 Let a(x) be the second derivative of -1/10*x**5 + 0 - 1/45*x**6 + 1/9*x**3 + 3*x + 0*x**2 + 2/63*x**7 + 1/18*x**4. Determine w, given that a(w) = 0. -1, -1/2, 0, 1 Let k(h) be the third derivative of h**10/9072 - h**8/7560 + h**5/60 + h**2. Let y(u) be the third derivative of k(u). Solve y(q) = 0. -2/5, 0, 2/5 Let u be (-9)/(-3)*(-2)/(-12). Let j = 25/26 - 6/13. Suppose u*k**2 - j*k - 1 = 0. What is k? -1, 2 Factor 3*a**2 - 8*a**4 + 5*a**4 + 3*a**3 - 3*a**5 + 0*a**5. -3*a**2*(a - 1)*(a + 1)**2 Let t(c) be the third derivative of c**8/168 - 4*c**7/105 - c**6/30 + 2*c**5/5 + 3*c**4/4 + 4*c**2. Factor t(o). 2*o*(o - 3)**2*(o + 1)**2 Let g(o) = -9*o**2 + 49*o - 51. Let x(l) = 2*l**2 - 10*l + 10. Let a(u) = 2*g(u) + 11*x(u). Factor a(k). 4*(k - 2)*(k - 1) Suppose 7 = 4*c - 13. Let v(k) be the third derivative of 0*k - 1/180*k**c - 1/18*k**4 + 0 - 2/9*k**3 - k**2. Factor v(u). -(u + 2)**2/3 Let u(n) = -4*n**3 - 15*n**2 + 3*n. Let v(w) = 2*w**3 + 7*w**2 - w. Let z(d) = 3*u(d) + 7*v(d). Suppose z(i) = 0. What is i? -1, 0 Determine i so that 3*i + 10*i**3 - 2*i + 3*i + 14*i**2 = 0. -1, -2/5, 0 Let 9*r**4 + 24 + 2*r**3 + 19*r**3 - 16 - 18*r**2 - 36*r + 16 = 0. Calculate r. -2, 2/3, 1 Let g be 2/(-4) + (-25)/(-10). Suppose 4*x - 4 = s, -x - s - g = -2*s. Factor x*z**2 + 4*z + 0 - 3*z**2 - 4. -(z - 2)**2 Let w be (-2)/((-2)/4 + (-6)/24). Find m such that -2/3*m**2 - 8/3 + w*m = 0. 2 Factor -4*l**2 - 2 - 3 + 6*l**2 + 3*l**2. 5*(l - 1)*(l + 1) Let g(v) be the second derivative of -v**7/42 + v**6/15 + v**5/10 - 2*v**4/3 + 7*v**3/6 - v**2 - 20*v. Factor g(l). -(l - 1)**4*(l + 2) Let t(i) = i**3 + 4*i**2 + 5*i. Let s(a) = -1. Let l(v) = -2*v**3 - 11*v**2 - 16*v - 1. Let n(j) = l(j) - s(j). Let y(k) = -2*n(k) - 7*t(k). Solve y(b) = 0. -1, 0 Let y(b) be the third derivative of b**10/151200 + b**9/20160 + b**8/10080 + 2*b**5/15 + 9*b**2. Let c(p) be the third derivative of y(p). Factor c(r). r**2*(r + 1)*(r + 2) Let b be (25/135)/(45/54). Let d be (4/(-3))/(-2)*3. Determine h, given that -2/9*h**d - b + 4/9*h = 0. 1 Let g = 0 - 1. Let z be 3/(-9) + g/(-3). What is d in -10/9*d**3 + 2/3*d**5 + z + 4/9*d + 2/9*d**4 - 2/9*d**2 = 0? -1, 0, 2/3, 1 Let o(y) be the first derivative of -1 - 1/8*y**4 - y**3 - 3*y**2 - 4*y. Let o(f) = 0. What is f? -2 Let s be (-7)/(-2*(-1)/(-2)). Let o be (s/2)/((-3)/(-6)). Solve 0*g**3 - 4*g**3 + 6*g**4 - 3*g + o*g - 6*g**2 = 0. -1, 0, 2/3, 1 Let r(a) be the second derivative of -a**4/36 - 5*a**3/18 - 2*a**2/3 + 53*a. Suppose r(p) = 0. What is p? -4, -1 Let l(d) be the second derivative of -d**5/5 + d**4 - 8*d**2 + 8*d. Find v such that l(v) = 0. -1, 2 Let z(g) be the second derivative of g**6/15 + 2*g**5/25 - g**4/30 - 28*g. Let z(o) =
{ "pile_set_name": "DM Mathematics" }
- 32. Determine u(7). -11 Let f(o) = o**3 + 5*o**2 + 7*o + 8. Determine f(-3). 5 Let c(q) = q**3 + 2*q**2 - 8*q + 3. What is c(-4)? 3 Let o(d) = -3*d - 132. Determine o(-33). -33 Let w(m) = -3*m**2 + 8*m + 2. Give w(-5). -113 Let u(q) = -q**2 + 7*q + 31. Give u(10). 1 Let y(a) = a**2 + 9*a - 42. What is y(-12)? -6 Let d(j) = 10*j - 282. Calculate d(27). -12 Let b(a) = -a**2 + 21*a - 42. Determine b(19). -4 Let a(o) = -2*o - 6. What is a(10)? -26 Let v(b) = b**3 - 5*b**2 - 2*b + 9. Calculate v(5). -1 Let g(m) = -21*m**2. Calculate g(1). -21 Let i(h) = -h - 16. Determine i(-15). -1 Let i(d) = 2*d**3 - 13*d**2 + 6*d - 3. Calculate i(6). -3 Let m(a) = 2*a**2 - 1. Calculate m(-2). 7 Let b(a) = a**2 + 9*a + 10. Give b(-6). -8 Let w(p) = -3*p**2 + p + 37. Calculate w(-7). -117 Let l(m) = 62*m. Give l(-1). -62 Let o(x) = -x - 13. Give o(9). -22 Let m(l) = 6*l + 7. Determine m(-8). -41 Let h(f) = f**3 + 3*f**2 - 5*f + 1. Give h(-4). 5 Let z(y) = 2*y**3 - 2*y**2 - 5*y + 2. Calculate z(3). 23 Let o(q) = 7*q**3 + 2*q**2 + q. Give o(-1). -6 Let q(u) = -2*u**2 + 39*u - 17. Determine q(19). 2 Let w(q) = 2*q**3 - 17*q**2 - 4*q - 26. Calculate w(9). 19 Let l(x) = -x**3 - 8*x**2 - 2*x - 5. Calculate l(-8). 11 Let n(t) = t**3 - t**2 - t - 49. What is n(0)? -49 Let k(v) = -v + 1. Determine k(-4). 5 Let a(x) = -5*x**2 + 60*x - 18. What is a(12)? -18 Let y(k) = -11*k + 46. Calculate y(4). 2 Let f(a) = a**3 - 8*a**2 + 10*a + 9. Give f(6). -3 Let o(k) = -k**2 - 8*k - 9. What is o(-10)? -29 Let r(y) = -3*y + 10. Give r(6). -8 Let m(q) = q**3 + q**2 + 137. What is m(0)? 137 Let c(l) = -17*l**3 - 2*l + 2. Calculate c(1). -17 Let u(z) = 4*z - 47. Give u(12). 1 Let p(g) = 2*g**3 + 6*g**2 - 11*g + 6. Determine p(-5). -39 Let y(i) = i**2 - 12*i + 13. Determine y(9). -14 Let n(g) = g**3 + 5*g**2 - 8*g + 7. Give n(-6). 19 Let z(q) = -q**3 - 26*q**2 + 54*q - 58. Calculate z(-28). -2 Let a(r) = 4*r**2 + 7*r + 5. Calculate a(-1). 2 Let w(i) = -11*i - 309. Give w(-28). -1 Let h(t) = t**2 - 9*t - 15. Calculate h(11). 7 Let w(f) = 14*f - 2. What is w(-2)? -30 Let o(v) = -37*v**3 + v**2 - 5*v - 5. What is o(-1)? 38 Let t(d) = -d**2 - 7*d + 27. What is t(-10)? -3 Let w(y) = -y**3 - 7*y**2 - 3*y - 5. Give w(-7). 16 Let p(b) = 2*b + 19. Give p(6). 31 Let f(m) = 2*m**3 - 2*m**2 - 8*m - 4. What is f(-2)? -12 Let b(k) = k**2 + 2*k - 11. Calculate b(0). -11 Let c(m) = -m + 27. Give c(16). 11 Let k(f) = f**3 - f**2 + 5*f + 16. Determine k(-4). -84 Let b(t) = t**3 - 5*t**2 + 8. Calculate b(6). 44 Let w(p) = -p + 10. Determine w(0). 10 Let h(v) = -3*v. Calculate h(-3). 9 Let j(f) = f**2 - 23*f + 26. What is j(20)? -34 Let c(n) = n**3 - 9*n**2 - 16*n + 11. What is c(10)? -49 Let r(f) = f + 20. Give r(0). 20 Let o(u) = -5*u + 74. Determine o(9). 29 Let k(y) = -3*y**2 + 20*y - 4. Calculate k(6). 8 Let i(y) = y**3 - 49*y**2 + 2*y - 97. Calculate i(49). 1 Let h(w) = w**2 + 13*w + 6. Give h(-6). -36 Let w(n) = -n**3 - 9*n**2 - 5*n + 25. Calculate w(-8). 1 Let o(h) = -2*h**3 - 23*h**2 - 11*h - 13. Determine o(-11). -13 Let r(n) = -n**2 + 19*n + 8. Calculate r(17). 42 Let x(s) = s**3 - 5*s - 2. Calculate x(-4). -46 Let r(y) = -3*y + 5. Calculate r(2). -1 Let v(m) = m**2 + 8*m - 1. Determine v(-6). -13 Let c(t) = 68*t + 27. Give c(-1). -41 Let u(l) = -l**2 + 5*l + 30. Give u(-9). -96 Let j(k) = k**3 + 17*k**2 + k + 6. Give j(-17). -11 Let a(p) = -24*p**2 + 2*p - 1. Give a(1). -23 Let o(f) = 8*f**2 - 2*f - 1. Determine o(-1). 9 Let t(m) = -m. Calculate t(0). 0 Let k(h) = 5*h**3 - 6*h + 8. Determine k(2). 36 Let a(c) = 16*c + 3. Give a(7). 115 Let h(g) = -2*g**3 - 22*g**2 + 19*g - 37. Calculate h(-12). 23 Let k(a) = a**3 + a**2 + 34. Give k(0). 34 Let v(d) = -2*d**2 - 30*d + 17. Give v(-15). 17 Let p(i) = -i**2 - 3*i + 9. Give p(4). -19 Let y(q) = q**3 + 13*q**2 - 12*q + 24. Give y(-14). -4 Let n(i) = 3*i**3 + i**2 - 4*i + 13. Give n(-4). -147 Let u(y) = 4*y + 6. Calculate u(-9). -30 Let f(o) = 5*o**2 + o - 3. What is f(-2)? 15 Let o(d) = -3*d**2 - 21*d + 110. Determine o(6). -124 Let h(j) = -j**3 + 21*j**2 + 19*j + 76. What is h(22)? 10 Let g(s) = -13*s + 84. Calculate g(6). 6 Let g(j) = 4*j**3 - 60*j**2 + 3*j - 57. Determine g(15). -12 Let x(w) = 4*w**3 - 20*w**2 + 16*w. Give x(4). 0 Let o(v) = 6*v - 4. Calculate o(3). 14 Let i(d) = 85*d + 263. What is i(-3)? 8 Let v(p) = 20*p**3 + p**2 + p + 1. Calculate v(-1). -19 Let w(f) = f**3 + 4*f**2 + 4*f + 2. Calculate w(-2). 2 Let i(c) = c**2 - 2*c + 1. Calculate i(1). 0 Let a(t) = -t**3 - 11*t**2 + 23*t - 25. Determine a(-13). 14 Let g(n) = 5*n + 103. Give g(-24). -17 Let i(u) = 3*u**3 - 18*u**2 + 2*u - 16. Calculate i(6). -4 Let h(m) = m**2 - 20*m - 19. Determine h(21). 2 Let t(a) = -a**3 + a - 110. Calculate t(0). -110 Let z(c) = -2*c**2 + 6. Determine z(5). -44 Let q(n) = 7*n - 3. What is q(-4)? -31 Let n(x) = 2*x**2 - 13*x + 6. Determine n(5). -9 Let k(u) = -u + 3. Calculate k(0). 3 Let x(v) = -5*v**3 - v**2. Calculate x(-1). 4 Let d(z) = z**3 - 14*z**2 + 14*z - 4. Determine d(13). 9 Let v(y) = y**3 + 16*y**2 + 14*y - 12. Give v(-15). 3 Let m(k) = -2*k + 48. Give m(17). 14 Let l(w) = 2*w - 4. Determine l(-7). -18 Let i(a) = -a + 15. Calculate i(12). 3 Let s(a) = -11*a - 49. What is s(-6)? 17 Let c(h) = -6*h**2 - 3*h + 3. Give c(2). -27 Let k(m) = -m**3 - m**2 - 5. Give k(-3). 13 Let l(h) = -h**2 - 6*h - 5. Calculate l(-4). 3 Let n(g) = -g**2 - 3*g + 2. What is n(-2)? 4 Let g(r) = r**2 - r + 3. What is g(3)? 9 Let g(v) = v**2 + 3*v. What is g(-2)? -2 Let l(b) = b**3 - 4*b**2 - 5. Determine l(4). -5 Let j(r) = r**2 - 6*r - 1. Give j(7). 6 Let y(r) = r**2 + 16*r + 10. What is y(-15)? -5 Let f(v) = -12*v**2 + 12*v + 18. Give f(-2). -54 Let u(q) = q**3 + q**2 + 2*q. What is u(2)? 16 Let y(j) = 4*j**2 - 3. Determine y(-2). 13 Let f(g) = -g**2 - 12*g - 12. Calculate f(-8). 20 Let g(r) = r**2 - 18*r - 50. What is g(19)? -31 Let s(a) = -a**3 - 8*a**2 + 8*a - 14. Determine s(-9). -5 Let z(m) = -m**3 + 20*m**2 - 17*m - 29. Determine z(19). 9 Let d(t) = -4*t - 168. Determine d(-39). -12 Let o(c) = 4*c - 88. What is o(17)? -20 Let z(q) = 6*q**2 - 8*q + 4. Calculate z(2). 12 Let q(u) = 4*u**3 - u - 1. What is q(-1)? -4 Let y(q) = -q**2 + 20*q - 36. Calculate y(18). 0 Let n(d) = -d**3 - 7*d**2 + 10*d + 88. Give n(-6). -8 Let j(z) = 11*z**2 + 11*z + 5. Determine j(-1). 5 Let a(k) = -k**3 - 17*k**2 + 40*k - 3. Calculate a(-19). -41 Let z(m) = -2*m - 20. What is z(-8)? -4 Let v(s) = -13*s - 20. Calculate v(-8). 84 Let k(b) = -13*b - 2. What is k(-2)? 24 Let f(i) = -i**2 + 3*i + 4. Give f(3). 4 Let l(z) = 5*z**2 + 29*z. Determine l(-6). 6 Let s(i) = -i**2 - 6*i - 8. Determine s(-6). -8 Let h(d) = -d**3 + 8*d**2 + d - 1. Give h(-1). 7 Let t(r) = 14*r + 31. Determine t(7). 129 Let g(h) = 10*h - 103. Determine g(8). -23 Let t(k) = k**2 - 27*k + 135. Determine t(20). -5 Let j(l) = -l**2 + 129*l - 611. Determine j(5). 9 Let v(j) = 2*j**2 + 5*j + 9. Give v(-5). 34 Let f(v) = 2*v**3 - 48*v**2 - 49*v - 21. Determine f(25). 4 Let d(o) = -o - 8. Calculate d(-14). 6 Let m(p) = -p**2 - 16*p + 28. What is m(-17)? 11 Let h(r) = -5*r**2 - 3*r - 1. What is h(-2)? -15 Let l(p) = -p**3 + 8*p**2 + 13*p - 9. Determine l(9). 27 Let l(t) = 2*t + 14. Calculate l(-7). 0 Let t(m) = -2*m**3 + 6*m**2 + 2*m - 5. Determine t(3). 1 Let j(q) = -q**3 + 44*q**2 - 82*q - 73. Calculate j(42). 11 Let x(g) = 10*g - 17. What is x(2)? 3 Let h(r) = r**3 - 7*r**2 - 9*r - 1. Determine h(8). -9 Let u(g) = -g**2 - 20*g - 73. What is u(-14)? 11 Let v(h) = -h**2 - 9*h + 9. What is v(-8)? 17 Let l(g) = -2*g**3 + g + 1. Determine l(0). 1 Let n(g) = -g**2 - 10*g - 9. Determine n(-6). 15 Let i(l) = -8*l - 27. Determine i(-10). 53 Let a(n) = 3*n + 24. Determine a(-11). -9 Let v(b) = -b**2 - 4. Give v(2). -8 Let n(y) = 7*y + 9. Determine n(-4). -19 Let u(w) = -w**3 - 14*w**2 + 35*w + 23. Determine u(-16). -25 Let l(u) = u**3 - 4*u**2 - 7. Calculate l(0). -7 Let o(u) = 4*u - 5. Give o(6). 19 Let v(l) = l**3 - 2*l**2 - 2*l - 1. What is v(3)? 2 Let h(t) = t**3 + 8*t**2 + 7*t + 8. Determine h(-7). 8 Let u(y) = -2*y + 3. Calculate u(2). -1 Let q(d) = 10*d - 4. What is q(-6)? -64 Let w(m) = -m**2 + 16*m + 15. What is w(12)? 63 Let u(l) = -l**3 - 3*l**2 + 16*l + 45. Calculate u(-4). -3 Let x(q) = -q**3 - 6*q**2 + 8*q + 3. W
{ "pile_set_name": "DM Mathematics" }
0497 to the power of 1/2, to the nearest integer? 16589 What is the square root of 57222087 to the nearest integer? 7565 What is the third root of 53064827 to the nearest integer? 376 What is the fifth root of 394265431 to the nearest integer? 52 What is 767418368 to the power of 1/5, to the nearest integer? 60 What is the ninth root of 755180789 to the nearest integer? 10 What is the square root of 8831368 to the nearest integer? 2972 What is 498279145 to the power of 1/10, to the nearest integer? 7 What is 2287251015 to the power of 1/7, to the nearest integer? 22 What is the cube root of 1963167607 to the nearest integer? 1252 What is 32336062 to the power of 1/2, to the nearest integer? 5686 What is 19105424 to the power of 1/6, to the nearest integer? 16 What is 799867398 to the power of 1/2, to the nearest integer? 28282 What is 106813283 to the power of 1/2, to the nearest integer? 10335 What is 64177908 to the power of 1/3, to the nearest integer? 400 What is the square root of 164174709 to the nearest integer? 12813 What is 132769346 to the power of 1/5, to the nearest integer? 42 What is the third root of 264657291 to the nearest integer? 642 What is the square root of 198880183 to the nearest integer? 14102 What is 1692479983 to the power of 1/2, to the nearest integer? 41140 What is the square root of 23239857 to the nearest integer? 4821 What is the sixth root of 151514557 to the nearest integer? 23 What is 48444547 to the power of 1/2, to the nearest integer? 6960 What is the tenth root of 1950063998 to the nearest integer? 8 What is the square root of 234636319 to the nearest integer? 15318 What is the third root of 8140222262 to the nearest integer? 2012 What is the fourth root of 77045248 to the nearest integer? 94 What is 682438114 to the power of 1/2, to the nearest integer? 26124 What is 5211166 to the power of 1/6, to the nearest integer? 13 What is the third root of 570659711 to the nearest integer? 829 What is the square root of 107809678 to the nearest integer? 10383 What is the cube root of 55161669 to the nearest integer? 381 What is the fifth root of 689252132 to the nearest integer? 59 What is 19536904 to the power of 1/8, to the nearest integer? 8 What is 2723688067 to the power of 1/3, to the nearest integer? 1397 What is 66597577 to the power of 1/2, to the nearest integer? 8161 What is the square root of 20561200 to the nearest integer? 4534 What is the cube root of 2641337670 to the nearest integer? 1382 What is the cube root of 26170413 to the nearest integer? 297 What is 819423211 to the power of 1/10, to the nearest integer? 8 What is the fifth root of 21829463 to the nearest integer? 29 What is the third root of 524435844 to the nearest integer? 806 What is the fourth root of 55089142 to the nearest integer? 86 What is 1061163196 to the power of 1/3, to the nearest integer? 1020 What is the fifth root of 1382126129 to the nearest integer? 67 What is 1343892538 to the power of 1/2, to the nearest integer? 36659 What is 146021070 to the power of 1/3, to the nearest integer? 527 What is 1729506975 to the power of 1/2, to the nearest integer? 41587 What is 55276374 to the power of 1/2, to the nearest integer? 7435 What is the third root of 1183307031 to the nearest integer? 1058 What is the square root of 801245358 to the nearest integer? 28306 What is the third root of 318525070 to the nearest integer? 683 What is 7988355 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 442781246 to the nearest integer? 28 What is the ninth root of 5622837729 to the nearest integer? 12 What is 1090836450 to the power of 1/5, to the nearest integer? 64 What is the fourth root of 1160036022 to the nearest integer? 185 What is 26502281 to the power of 1/2, to the nearest integer? 5148 What is the seventh root of 622697347 to the nearest integer? 18 What is 156366956 to the power of 1/2, to the nearest integer? 12505 What is the tenth root of 356074587 to the nearest integer? 7 What is the ninth root of 143107986 to the nearest integer? 8 What is the tenth root of 34327120 to the nearest integer? 6 What is 1888133365 to the power of 1/2, to the nearest integer? 43453 What is the third root of 241290536 to the nearest integer? 623 What is 471477725 to the power of 1/3, to the nearest integer? 778 What is 11291962 to the power of 1/9, to the nearest integer? 6 What is the square root of 218860433 to the nearest integer? 14794 What is 87536567 to the power of 1/3, to the nearest integer? 444 What is 1231024130 to the power of 1/6, to the nearest integer? 33 What is 139016029 to the power of 1/2, to the nearest integer? 11791 What is the square root of 361111595 to the nearest integer? 19003 What is the square root of 730294109 to the nearest integer? 27024 What is the cube root of 1258390564 to the nearest integer? 1080 What is the square root of 470750539 to the nearest integer? 21697 What is 177211929 to the power of 1/2, to the nearest integer? 13312 What is the cube root of 3176033062 to the nearest integer? 1470 What is the square root of 218193290 to the nearest integer? 14771 What is the cube root of 930960725 to the nearest integer? 976 What is 1373559530 to the power of 1/2, to the nearest integer? 37062 What is 44491235 to the power of 1/2, to the nearest integer? 6670 What is the cube root of 2876347102 to the nearest integer? 1422 What is the fourth root of 30820471 to the nearest integer? 75 What is 720815834 to the power of 1/7, to the nearest integer? 18 What is the tenth root of 1269152217 to the nearest integer? 8 What is 200632835 to the power of 1/6, to the nearest integer? 24 What is 8494311 to the power of 1/2, to the nearest integer? 2915 What is 726617840 to the power of 1/3, to the nearest integer? 899 What is the eighth root of 11458116 to the nearest integer? 8 What is the seventh root of 469404 to the nearest integer? 6 What is the ninth root of 356436727 to the nearest integer? 9 What is 2469800705 to the power of 1/2, to the nearest integer? 49697 What is the eighth root of 23480840 to the nearest integer? 8 What is the cube root of 3363722837 to the nearest integer? 1498 What is the fourth root of 28032761 to the nearest integer? 73 What is the fifth root of 65271703 to the nearest integer? 37 What is 78925378 to the power of 1/7, to the nearest integer? 13 What is the cube root of 254015749 to the nearest integer? 633 What is the cube root of 3412916176 to the nearest integer? 1506 What is 31766718 to the power of 1/5, to the nearest integer? 32 What is 40670255 to the power of 1/2, to the nearest integer? 6377 What is the square root of 321541505 to the nearest integer? 17932 What is the third root of 2936615229 to the nearest integer? 1432 What is the fourth root of 654243837 to the nearest integer? 160 What is 814800948 to the power of 1/2, to the nearest integer? 28545 What is 984155127 to the power of 1/2, to the nearest integer? 31371 What is the sixth root of 114722050 to the nearest integer? 22 What is the cube root of 23606427 to the nearest integer? 287 What is the cube root of 2491726039 to the nearest integer? 1356 What is the square root of 3814413 to the nearest integer? 1953 What is 252024934 to the power of 1/8, to the nearest integer? 11 What is the tenth root of 52030166 to the nearest integer? 6 What is 107776146 to the power of 1/3, to the nearest integer? 476 What is 363727679 to the power of 1/2, to the nearest integer? 19072 What is 24083578 to the power of 1/2, to the nearest integer? 4908 What is 524790439 to the power of 1/4, to the nearest integer? 151 What is the ninth root of 942923771 to the nearest integer? 10 What is the third root of 331296685 to the nearest integer? 692 What is the cube root of 11829642 to the nearest integer? 228 What is the cube root of 111141535 to the nearest integer? 481 What is the cube root of 1570179202 to the nearest integer? 1162 What is 2665912028 to the power of 1/4, to the nearest integer? 227 What is 128428006 to the power of 1/3, to the nearest integer? 505 What is 49263875 to the power of 1/7, to the nearest integer? 13 What is the fifth root of 344106983 to the nearest integer? 51 What is 231233841 to the po
{ "pile_set_name": "DM Mathematics" }
ose -5*o + 5*s - 90 = -325, 143 = 3*o - g*s. Calculate the remainder when o is divided by 23. 22 Suppose -j + 339 = 2*j. Let f = j - 70. Calculate the remainder when f is divided by 11. 10 Suppose -2*g - 1 = 3*k - 5, 0 = -g - 3*k + 2. Suppose -3*u - g*u = -3*v - 31, 4*v + 28 = 5*u. Calculate the remainder when u is divided by 3. 2 Suppose 5*p - 22 = -y, 2*y - y + 2*p = 13. Let x = y - 1. Calculate the remainder when x is divided by 2. 0 Let t be (-4)/(12/(-1))*15. Suppose -5*v - t*m + 11 = -14, -3*m = -3*v + 15. Calculate the remainder when 8 is divided by v. 3 Suppose -3*h - u - 16 = 0, -4*u = 5*h - 3*u + 30. Suppose 5*l + 39 = 3*f, -4*f + l + 52 = 3*l. What is the remainder when f is divided by (-1)/1*1*h? 6 Let u(z) = -2*z**3 - 5*z**2 - 3*z. Let t be u(-4). Suppose -3*g + 4*x + 31 = 8*x, 4*x + t = 4*g. Calculate the remainder when 38 is divided by g. 12 Let u = 53 + -43. Calculate the remainder when 39 is divided by u. 9 Let z = -12 - -15. Suppose 2*p = -z*a + 36, a - 3*a - 41 = -3*p. What is the remainder when 44 is divided by p? 14 Let g = -7 + 20. What is the remainder when 25 is divided by g? 12 Let n(d) = -d**2 - 7*d - 6. Let u be n(-7). Let t be ((-14)/u)/((-3)/(-9)). Suppose -i = -t + 1. Calculate the remainder when 16 is divided by i. 4 Let j(p) = -p**2 + 2. Let y(m) = -m + 7. Let k be y(7). Let o be j(k). Let v = o - -2. Calculate the remainder when 10 is divided by v. 2 Let q = -43 + 46. Suppose -12 = -4*s, -13 - 9 = -5*g - 4*s. Calculate the remainder when q is divided by g. 1 Calculate the remainder when 11 is divided by 1*(3 + -2) - -8. 2 Suppose -5*j = -12*j + 28. What is the remainder when 13 is divided by j? 1 What is the remainder when 46 is divided by (-15 + -2)*(-4)/8*2? 12 Let o(z) = 6*z + 5. Let b(y) = -y - 1. Let f(i) = 34*b(i) + 6*o(i). What is the remainder when 20 is divided by f(6)? 4 Let i = 1 + 1. Let l be 1/2 + (-18)/(-4). Suppose -3*y + 3*a = -15, -a - 18 = -l*y - 3*a. What is the remainder when y is divided by i? 0 Let q = 5 - -1. Let d = q + -1. Calculate the remainder when 17 is divided by d. 2 Let m(z) = 48*z**2 + z + 2. Let x be m(-2). Suppose -5*i + x = -i. What is the remainder when 6 is divided by 6/(-4)*i/(-18)? 2 Suppose -4*y - 288 = -4*q, 4*y = 2*y + 4. Suppose -4*z + q - 22 = 0. Let v = -75 + 112. Calculate the remainder when v is divided by z. 11 Let c(v) = v**3 + 7*v**2 + 6*v + 8. Calculate the remainder when 126 is divided by c(-4). 30 Suppose -5*z - 2*v = -10*z + 128, 2*z = v + 51. Calculate the remainder when z is divided by 9. 8 Let w = 7 - 6. Calculate the remainder when 18 is divided by w*(8/(-4) - -9). 4 Let m(q) = 15*q**2 - 22*q + 5. What is the remainder when m(4) is divided by 40? 37 Let j = 40 - 18. Let r be ((-7)/(-14))/((-1)/(-6)). Suppose r*s - 4*f = 36, -s + 2*f = s - 22. Calculate the remainder when j is divided by s. 6 Let v be 6*1*100/6. Suppose 0 = 4*k + 12 + v. Calculate the remainder when 31 is divided by 2/7 - 300/k. 9 Let f(o) = -6*o**2 - 6*o + 5. Let n be f(3). Suppose -i - 33 = 3. Let u = i - n. Calculate the remainder when u is divided by 16. 15 Let u(m) = m**2 - 6*m - 22. What is the remainder when 68 is divided by u(10)? 14 Suppose -4*v - 1 = -2*k - 9*v, -29 = -3*k - 2*v. Calculate the remainder when k is divided by (-3)/6*-4 - -3. 3 Suppose k - 5 = -0*k. Suppose z = 5*q + 2*z - 6, 10 = -k*q - 5*z. What is the remainder when q is divided by 1? 0 Let n(z) = 5*z**2 + 2*z + 2 + 0 - z**3 - 4*z**2. Let w(i) = 7*i**2 - i + 3. What is the remainder when w(2) is divided by n(-2)? 9 Suppose 2 = -4*l + 70. Calculate the remainder when 63 is divided by l. 12 What is the remainder when 13/((-3)/(-18)*(-5 + 7)) is divided by (-5)/((3/(-2))/3)? 9 Let o = 0 + 53. Calculate the remainder when o is divided by (-3)/(-2)*(4 - -14). 26 Suppose -l + 182 + 42 = 5*b, -5*b - 5*l + 220 = 0. Calculate the remainder when b is divided by 16. 13 Suppose 0*h = -h + 9. Let z = h + -6. Suppose 8 = z*k - 28. What is the remainder when 34 is divided by k? 10 Let w = -20 + 32. Calculate the remainder when w is divided by 3. 0 Let k = 32 + 72. Suppose k = 2*l + 2*l. What is the remainder when l is divided by 14? 12 Suppose 3*f = -4*v + 26, -4*f + 16 = -5*v + 2. What is the remainder when 6 is divided by f? 0 Let i(x) = x**3 + 11*x**2 - x - 9. Let z be i(-11). Suppose -19 = -z*g - 7. Calculate the remainder when ((-2)/(-4))/(2/68) is divided by g. 5 Let u be (-3)/15 + (-348)/10. Calculate the remainder when 49 is divided by -5*1*119/u. 15 Let a(n) = -n**2 - 6*n + 15. Let u(h) = -h**3 + 6*h**2 + 4*h - 6. Suppose -2*g + 4 = s, -s - 5*g = s - 8. What is the remainder when u(s) is divided by a(-6)? 12 Suppose r - 2*r + 17 = 0. Suppose 0 = -9*w - 10*w + 1235. Calculate the remainder when w is divided by r. 14 Suppose 0 = 8*a - 740 + 108. Calculate the remainder when a is divided by (-10)/(6/4 + -2). 19 Let y = 62 - 37. What is the remainder when 73 is divided by y? 23 Let k be 10/35 - 976/(-14). Let o = k - 49. Calculate the remainder when 41 is divided by o. 20 Suppose 5*g - g = 0. Calculate the remainder when (-1)/(g + 1/(-5)) is divided by 4. 1 Suppose -3*y - 2*y - 110 = 0. Let k be y/(-4) - 9/6. Let l(n) = n - 3. What is the remainder when 2 is divided by l(k)? 0 Let q(w) = w**2 - 3*w - 3. What is the remainder when 27 is divided by q(5)? 6 Suppose 2*d - 21 = 1. Let k(n) = 9*n - 49. Calculate the remainder when k(9) is divided by d. 10 Let a = -5 - -10. Let t(g) = g**3 + 8*g**2 + 6*g - 4. Let u be t(-7). Suppose u*k - a*k + 54 = 0. What is the remainder when k is divided by 14? 13 Suppose 0 = -k - 2*c - 2*c - 20, -k = -c + 40. Suppose 0 = 2*m - 0*m - 108. Let u = m + k. What is the remainder when u is divided by 10? 8 Let r(k) = -3*k. Let v be r(-1). Suppose 0 = -v*x - 5*a + 17, -4*a + 0 = -16. What is the remainder when (3/((-3)/13))/x is divided by 7? 6 Let d be (1 - -59)*6/(-12). Let g be 20/(-1)*d/24. Suppose 4*v + v = g. What is the remainder when 7 is divided by v? 2 Let i = -1 - 1. Calculate the remainder when (-3)/12*2*-26 is divided by (i - -1) + 2*4. 6 Let c = 49 + -36. Calculate the remainder when c is divided by 3. 1 Calculate the remainder when 12 + -10 + 125*1 is divided by 26. 23 Suppose -y - y = -4, 3*r - 59 = 5*y. Suppose 91 - 22 = 3*l. Calculate the remainder when r is divided by 2/8 + l/4. 5 What is the remainder when 104 is divided by (-1 + 2 + 1)*(-275)/(-10)? 49 What is the remainder when 62 + -2*9/6 is divided by 30? 29 Let v(q) = -q**3 - 8*q**2 - 7*q + 8. What is the remainder when v(-7) is divided by 6? 2 Suppose -40 = b - 2*b. Calculate the remainder when 79 is divided by b. 39 Let v(t) = -7*t**2 + 2*t + 15. Let n(d) = -3*d**2 + d + 7. Let r(u) = 13*n(u) - 6*v(u). What is the remainder when r(-3) is divided by 13? 12 Suppose 580 = 4*y + 4*t - t, 0 = -4*y + t + 580. Suppose 0 = -5*j + 520 - y. Calculate the remainder when j is divided by 19. 18 Let w(y) = y**2 - 6*y - 5. Let j = 1 + 6. Calculate the remainder when 6 is divided by w(j). 0 What is the remainder when 6 is divided by 0/2 - (-4 + 0)? 2 Suppose 6*u + 90 = 5*k + u, 92 = 5*k - 3*u. Calculate the remainder when 54 is divided by k. 16 Let t(j) = j**2 - 13. Suppose 2*v - v + 8 = -3*p, -p = 4*v - 12. Calculate the remainder when v is divided by t(4). 1 Suppose 0*r - 8 = -2*r, 2*h - 2*r = 2. Let k(m) = h*m + 1 - 3*m + m - 4. What is the remainder when 25 is divided by k(4)? 7 Let r = 121 - 68. Suppose 0 = y - 0*y - r. What is the remainder when y is divided by 27? 26 Let c = -2 - -5. Suppose -c*s - 6 = -5*s. Suppose s*a - 7*a = -12. Calculate the remainder when 8 is divided by a. 2 Let r = 14 + 13. Let j = r - 10. What is the remainder when j is divided by 5? 2 Let f = -48 + 73. Let y = -26 - -39. What is the remainder when f is divided by y? 12 Calculate the remainder when -2 - -35 - (1 - -3)/(-1) is divided by 16. 5 Let d(l) = -25*l - 1. Let c be d(-2). Suppose 0*v - v = 5*q - c, -2 = 2*v. What is the remainder when q is divided by 6? 4 Let a(r) = 5*r - 3. Let l = 5 + -9. What is the remainder when a(3) is divided by (-30)/l + (-5)/10? 5 Suppose 4*i + 9 = t + 2*t, 0 = 3*t + 3*i - 9. Suppose 0 = 5*o + 3*n - 87, 2*o + 2*o = t*n + 48. Calculate the remainder when 73 is divided by o. 13 Calculate the remainder when 28 is divi
{ "pile_set_name": "DM Mathematics" }
(m) = -1059*m - 6419. Let r be w(-6). Which is bigger: r or f? f Let a = -39341/4 - -9754. Are a and -82 equal? False Suppose -113 = a - 3*c + 2*c, 545 = -5*a + c. Let x = a - -99. Let o be 3 - ((-131)/x)/((-145)/(-30)). Is 1 > o? True Let r be (40/32 + 1)*4. Let g(z) be the second derivative of -z**3/6 + 5*z**2/2 + z. Let a be g(r). Which is bigger: a or -2? -2 Let a = -7.37 - 47.63. Let l = a - -70. Are 5 and l nonequal? True Suppose -2129*g - 13 = -2130*g. Which is smaller: g or 25? g Let c = 28563869/681 + -41944. Which is smaller: c or 1? c Let o = -2/2207 + 8902/81659. Let f = o + 1/333. Which is smaller: f or 1? f Let n be 120/(-16) + 1/2. Let t(u) = 2*u**2 - 41*u + 14. Let x(b) = -b**2 + 17*b - 7. Let r(a) = -2*t(a) - 5*x(a). Let d be r(n). Is 77 less than d? False Let n = 0.02957 + 0.97043. Which is bigger: n or -2124? n Let y(o) = -6*o**2 + 9*o - 25. Let w be y(5). Let m = w + 70. Which is smaller: -61 or m? -61 Suppose 0*h + 2*h = 4*q - 14, 0 = 2*q - 6. Let u = -726946/4837 - -1052/7. Which is bigger: h or u? u Suppose 0 = 5*l - 23 - 37. Suppose -2*v + 4*v = l. Let b be (2/v)/((-8)/48). Is b != 3? True Suppose 3*p - 327*i = -326*i + 22, -5*i - 25 = 2*p. Is -23 < p? True Let q be 2/6*82/23821. Let h = 4733/1743 - q. Are 2 and h non-equal? True Let l = 2/1629 - 11437/27693. Which is bigger: l or -3/11? -3/11 Suppose 4*n = 4*p + 13 + 47, -4*p + 57 = 5*n. Let l = 2.96 + -3.2. Let u = l - -1.24. Which is smaller: u or n? u Let w = -14 + 13.2. Let q = 0.8 + w. Suppose 3*k - 54 = -174. Is q > k? True Let u = 701/14 + -1395/28. Which is greater: u or 0.04004? u Let r(l) = 6*l**2 - 9*l + 1. Let t be r(-4). Suppose -t = -12*d + 95. Is d greater than 20? False Let n = 44 + -26. Let o be (-2)/(-38) + 341/19. Is o at least n? True Suppose -24 = -7*c - 5*c. Suppose -c*r + 17 + 69 = 0. Let a be (-9)/(-1 - (-44)/56). Which is smaller: a or r? a Let y = -2955 - -3462. Is 508 at most as big as y? False Let a(r) = -4*r + 22. Let d be a(6). Let s be 6 + (-8 - -4) + d. Suppose -o + s = -8. Which is smaller: o or 3? 3 Suppose -280600 = -212*a - 32*a. Are a and 1144 unequal? True Suppose -71*f - 4*c - 88352 = -75*f, 4*f = 5*c + 88347. Is 22094 at most as big as f? False Let k be (0 + -2)/(12/24). Let p = 3286 + -13141/4. Which is bigger: p or k? p Suppose l + 2*q + 14 = -4*l, -q = -4*l - 6. Let a(n) = n**3 + 6*n**2 + 6*n. Let o be a(-7). Let b be (20/(-6))/(o/(-21)). Which is greater: b or l? b Let r be 0 + (-4*2/(-4) - (-8442)/28). Is r at most as big as 304? True Let g be -2 + 4/(-2) + -57. Let y(c) be the second derivative of -c**4/4 - 7*c**3/6 + 2*c**2 + 7*c. Let r be y(-6). Is r less than or equal to g? True Let i = 29 - -76. Let g be (i/(-16))/(5 + (-152)/32). Are g and -27 equal? False Let w = -497360 - -460057948/925. Let u = 32/11 + -1096/407. Let q = u + w. Is q less than 0? False Let p(v) = 54*v**3 - 1. Let o be p(-1). Suppose 133*q + 9757 = 2708. Is o not equal to q? True Suppose 0 = g - 8*g - 7. Let m = 6170/7 - 4522596/5131. Is g < m? True Let y = -3.455 - 19.535. Let d = 24 + y. Is 2/3 greater than or equal to d? False Let s = -21.245 - -7.845. Is s greater than -2/39? False Let z(a) = 28*a**2 + 714*a + 5034. Let k be z(-7). Which is smaller: 5637/4 or k? k Let z be 731360/(-1340746) + (-612)/(-1122). Is 1 <= z? False Let a = -42.22 + 42.62. Which is bigger: a or 244? 244 Let d = 94 - 249. Let f = -158 - d. Which is smaller: f or -51? -51 Let h be (165/39 - 4)/((-1299)/(-3)). Is h at least as big as 1? False Let d(g) = g**3 + 12*g**2 + 9*g + 26. Suppose -5*z - 64 = -3*y, -63 = 5*z - 2*y - 2. Let l be d(z). Is l bigger than -2/7? True Let m be (-15)/8 - (4 - (-31)/(-8)). Let r be (-2 - -1) + (-25 - m/2). Let b be (-10)/((-6)/15*-1). Is r at most as big as b? True Suppose -5*o - 25 = -5*y, 0*y + 3*y + o - 15 = 0. Suppose 3*t + 1 = i, y*i + 17*t - 16*t = 21. Which is greater: i or -1/2? i Suppose 4*s = 2*g - 4 + 22, -5*s - 4*g + 16 = 0. Let r be (-8 + 8)/(-1 + 2). Suppose r = 2*j - s*o - 20, -25 = 2*j + 2*o + 3*o. Which is bigger: -2 or j? j Let y = -11.838 - -7.07. Let b = y + -0.232. Which is bigger: b or 0.3? 0.3 Let o(l) = -2*l**3 + 18*l - 127 + l**3 + 114 - 62*l + 31*l**2 - 64. Let p be o(30). Which is smaller: -498 or p? -498 Suppose -285 = -24*w + 4131. Are w and 153 nonequal? True Let n = -547 + 256. Let d be 1 + 19*15/n. Let s = 58929.9 + -58930. Which is greater: s or d? d Let g = -51998 - -8059828/155. Which is greater: g or 1? 1 Suppose 0 = -3*j + 5601 - 17805. Let w be (-2 - j/56)*-4. Let z = w - -283. Which is bigger: -1 or z? z Let u be ((-84)/(-7693))/(98/343). Let f be 2 - ((-1 - 1) + 4). Which is smaller: f or u? f Let o = -0.9244 + 0.3474. Which is smaller: -5/7 or o? -5/7 Let b = 291 - 184. Let x(o) = -o**2 + 34*o - 61. Let q be x(28). Let s be 8*(-6)/(-48) + q. Is b less than or equal to s? True Let g(i) = -6*i**3 + 2*i + 2. Let l be g(-1). Suppose l*f + 2 = 4*f. Which is greater: 7/58 or f? 7/58 Suppose 4*f = 7*f. Let u(r) = -r + 2. Let b be u(5). Let x be -2 + 1 - (b + 1680/846). Is f at least as big as x? False Let k = -2/4977 - 13393097/24885. Let d = k - -550. Let t be (504/294)/(1/7). Is t bigger than d? True Let k(y) = -y**2 - 15*y - 29. Let w be k(-11). Let o be 50/w*(-3 - (-189)/15). Does 7 = o? False Let q = 7 - -1. Suppose -q*r = -5*r. Suppose -15 = -r*h + 3*h. Which is bigger: -1/5 or h? -1/5 Suppose -2*t = -2*g - 2788, -10409 + 3376 = -5*t - 2*g. Which is bigger: t or 1397? t Let v = -2984 + 2986. Let c = -1.08 - 0.22. Which is smaller: v or c? c Let l = 244.86 + -249. Let o = l + 3.94. Which is smaller: 3/7 or o? o Let i be (((-319)/(-2813))/11)/(7/2). Let f(v) = v**3 + 4*v**2 + v + 5. Let c be f(-4). Is i greater than or equal to c? False Suppose -106*g + 9548 = 34*g - 16*g. Is g bigger than 605/8? True Suppose 0 = -156*n - 104*n. Are n and -3/5246 unequal? True Let f(b) = b**3 - b - 9. Let m be f(0). Let c be 11/(-22)*1490/45 + 9. Is m at least c? False Let w = 4033/120 - 836/15. Do w and -2/5 have the same value? False Suppose 55 = -4*x + 5*h - 46, 91 = -4*x + 3*h. Let f(r) = 28*r + 159. Let b be f(x). Which is smaller: b or -372? b Let h be (-4)/26 + (-3465)/(-27846). Let w(n) = n + 4. Let y be w(-7). Let d = 2 + y. Which is smaller: d or h? d Let y be 48/9 + 1 + (-3)/9. Let c(r) = -14*r + 85. Let p be c(y). Is p >= 2/29? True Let j(t) = t**2 + 5*t - 5. Let c be j(-6). Let b = 382 + -28265/74. Is b at least c? False Let h(g) be the second derivative of -g**4/12 + g**3/2 + 7*g**2/2 + 3*g. Let j be h(4). Let w = j + -7/2. Is 4 equal to w? False Let g = 23922 - 23926. Which is bigger: -346/89 or g? -346/89 Let r be ((6/534)/((-24)/(-6)))/1. Let m = 200/89 + r. Which is bigger: 2 or m? m Let x = 39.2 + -38. Let p = x - -18.8. Let z = p - 27. Which is smaller: -0.4 or z? z Let v(z) = 45*z - 2115. Let y be v(47). Let l be (4/(-152))/((-1)/(-4)). Which is greater: y or l? y Let t = 2545 - 3995. Is -1452 < t? True Let t(f) = -3*f + 8. Let h(y) = -y - 1. Let q be h(-6). Let m be t(q). Let u = -1120 + 1113. Is m less than u? False Let i = 4735 + -5216. Is -0.2 greater than or equal to i? True Let g = 17 + -1086. Let h = 82311/77 + g. Is h equal to -1? False Let v = -44/3255 + 330089/24659880. Which is bigger: 0 or v? 0 Suppose -8 = 2*t, -24*x - 2*t = -20*x + 1944. Is x greater than -482? False Let s = 30163201 - 3770423989/125. Let p = -479176/1125 - s. Let i = p + 235. Is 1 <= i? False Let s be ((-558)/(-124) + (-2)/4)*(0 - 1). Which is bigger: s or -1.14? -1.14 Let j = -8 + 7.97. Let a = -135.36 - -135.5. Let t = j - a. Which is smaller: 2 or t? t Let y = -13 - -12.4. Let w = 65.4 - y. Let p = 65.8 - w. Which is greater: p or 16? 16 Let l(i) = i**2 + 17*i - 308. Let y be l(11). Which is bigger: -3/196 or y? y Let g be 4/(226628/(-176491)) - (-24 - -21). Let l = -2/1069 - g. Is l greater than -1? True Let q be -1*3 + (-1)/((-4)/12). Suppose q = 5*f + 4*i - 22, -2*f - f + 21 = 5*i. Let w be 10/(-4) + f/(-4). Is -5 at least w? False Suppose -h = -15 + 101. Let x = h + 150. Suppose -o + 81 = x. Which is greater: o or 0.1? o Suppose -4110 = 856*w - 826*w. Is -142 at most as big as w? True Let r = -27 + 27.32. Let z = r + 0.21. Let j = 0.63 - z. Which is smaller: j or -0.3? -0.3 Let j be ((-792)/(-352))/(1/360). I
{ "pile_set_name": "DM Mathematics" }
d j. 1 Let q = -60 - -84. Calculate the greatest common factor of 6 and q. 6 Let q be (149 - 9) + 3*1. Calculate the highest common divisor of 13 and q. 13 Suppose 2 = 2*m - 22. Suppose 0 = 2*p - 16 - m. Calculate the highest common divisor of 2 and p. 2 Suppose 0*c = 2*c - 16. Suppose 4*p - c = 8*p. Let i(q) = q**3 + 4*q**2 + 2. Let m be i(p). Calculate the highest common factor of m and 5. 5 Let z = 26 - 11. Suppose -8*f = -10*f + 270. What is the highest common factor of z and f? 15 Suppose 675 = -7*j + 2*j. Let b be 10/(-3)*j/6. What is the highest common divisor of 30 and b? 15 Let j = -11 - -5. Let p(w) = 3*w**2 + 10*w + 7. Let m be p(j). Let l be (2 - -2) + -2 - -20. What is the greatest common factor of l and m? 11 Let f = 4 + 0. Suppose -3*h = b - f, 5*h = -6*b + b. Let i be (1/h)/(1/6). What is the greatest common factor of i and 6? 3 Let m(c) = -12*c + 2. Let t(r) = 13*r - 2. Let k(u) = -4*m(u) - 3*t(u). Let y be k(2). Calculate the greatest common divisor of 144 and y. 16 Suppose -45*x = -47*x + 24. Calculate the highest common factor of 36 and x. 12 Suppose 224 = 3*f + f. Let d(b) = b - 8. Let o(a) = 2*a - 17. Let w(j) = 11*d(j) - 6*o(j). Let k be w(6). What is the greatest common factor of f and k? 8 Let g be (9/(-2))/(45/(-120)). What is the greatest common factor of g and 8? 4 Let r be (-3)/(18/(-3) + 3). What is the greatest common divisor of r and 9? 1 Let z be (9 - -5) + (-4)/(-2). Suppose -15 = 3*l, -4*j = -4*l - 12 - z. Suppose -j*x + 80 = -x. What is the highest common divisor of 32 and x? 16 Let y(z) = -3*z - 7. Let b be y(-7). Let k(q) = -4*q + 8. Let o be k(-5). Calculate the highest common divisor of o and b. 14 Let j(h) = h + 6. Let b be j(0). Let i be 9/b*(-2 + 30). What is the greatest common factor of i and 6? 6 Suppose -5*c + 26 = -24. Calculate the greatest common divisor of c and 110. 10 Let r = -29 + 43. Calculate the greatest common divisor of r and 98. 14 Let h be -15*1*1*-1. Let r be (-1 - (-318)/(-12))*-6. What is the greatest common factor of h and r? 15 Let r be (-4)/5 + 6856/20. What is the greatest common factor of 38 and r? 38 Suppose s = 5*s - 8. Suppose s*m + 2*m = 20. What is the highest common factor of m and 15? 5 Suppose -32 = 2*k + 4. Let m = 31 + k. Let z = 55 + -29. Calculate the highest common divisor of z and m. 13 Let a be (-3)/9 - (-238)/(-6). Let x = 2 - a. Calculate the greatest common factor of 14 and x. 14 Suppose -r + 699 + 1269 = 0. Let l be (-2)/7 + r/28. Suppose -4*j = -2*y - 32 - l, -5*y + 25 = 0. What is the highest common divisor of j and 7? 7 Let w be 3 - -1 - (2 - 2). Suppose -w*b = 5*n - 29, 0 = -5*b - n + 4*n - 10. What is the highest common factor of 2 and b? 1 Suppose 0*j - j = c - 11, -4*c = 5*j - 56. Calculate the highest common divisor of j and 108. 12 Suppose 0 = -5*f + 460 - 2175. Let i be ((-4)/3)/(12/(-18)). Let c be f/(-21) + i/(-6). What is the highest common divisor of 4 and c? 4 Let n = -7 + 9. Suppose 0 = w + n*w - 72. Calculate the greatest common factor of 16 and w. 8 Let w = 1 - -54. Calculate the highest common factor of 11 and w. 11 Suppose j = -3*v - 67, 10*j + 375 = 5*j + 5*v. Let w = j - -157. Calculate the highest common factor of 12 and w. 12 Let r be -15 - (-1 + -1) - -2. Let h = 19 - r. What is the highest common divisor of h and 30? 30 Let p = 10 - 6. Suppose 2*j + 54 = p*j. Calculate the highest common divisor of 18 and j. 9 Suppose 0 = 3*u - 2*n - 28, 3*u - 52 = -2*n - 2*n. Calculate the greatest common factor of u and 84. 12 Let h = 115 + -58. Suppose 0 = 5*p + 3*v - 59 + 226, 5*p + v + 169 = 0. Let q = p + h. What is the highest common divisor of q and 23? 23 Let j(x) = -x**3 + 6*x**2 + 7*x + 2. Let n be j(7). Suppose -n*f + 4 = -2*b, b + 4*f - 24 = -3*b. What is the greatest common factor of b and 1? 1 Suppose 10*z = 5*z + 65. Let x = -11 + z. What is the highest common divisor of 3 and x? 1 Suppose c = -3*k + 5, -4*k + 20 = 4*c - 8. Suppose 3*x = -36 + 228. Calculate the highest common divisor of x and c. 8 Suppose -b + 14*b - 39 = 0. Calculate the greatest common factor of b and 3. 3 Let d(m) = -6*m + 13. Let k be d(-12). Calculate the greatest common factor of 17 and k. 17 Suppose z = f - 22, 4*f - z + 12 = 5*f. Let b(l) = -4*l + 2*l + 34 + l. Let y be b(0). Calculate the highest common factor of f and y. 17 Suppose -13 = f + 17. Let w be 5/(f/(-104))*3. What is the highest common divisor of w and 13? 13 Suppose r - 4*r = -321. Let c = r + -68. Let a = c - 21. What is the highest common factor of 9 and a? 9 Let m(i) = -i - 1. Let k be m(-3). Let w(s) = 39*s + 2. Let h be w(k). Suppose -f - 3*f = -h. Calculate the highest common divisor of 160 and f. 20 Let w(p) = -p**2 + 5*p - 2. Let b be w(4). Suppose d = 3*u - 7*u - 14, 2*d + 2*u + 4 = 0. What is the greatest common divisor of d and b? 2 Let n be -15*(-2 - (-4)/4). What is the highest common factor of 60 and n? 15 Let p(k) = -6*k**2 - 7*k + 5. Let m be p(5). Let o = -96 - m. Calculate the highest common factor of o and 12. 12 Let t(a) = 2*a**2 + 5*a + 1. Let z = 2 - 6. Let u be t(z). Calculate the highest common factor of 13 and u. 13 Let t(v) = v**2 - 4*v + 1. Let j be t(5). Let y = j - -4. What is the greatest common factor of y and 30? 10 Let s be (3 - 561)*(-7)/14. Calculate the greatest common divisor of s and 9. 9 Suppose -2*x + 746 = -0*x. Let h = x + -256. Calculate the highest common divisor of h and 13. 13 Suppose 3*l = 4*l - 27. Suppose 47 = 5*w + m, 0*w + 3*w = -4*m + 35. What is the greatest common divisor of l and w? 9 Let l be (4 - 2)*3/2. Suppose 5*c - 10 = 5. Calculate the greatest common divisor of c and l. 3 Let m = 21 - 9. Let l(p) = p**3 - p**2 - 2*p + 2. Let d be l(3). Suppose -3*h + d = -58. What is the highest common divisor of m and h? 12 Let m(t) be the first derivative of t**3/3 - t**2 + 2*t - 7. Let c be m(-7). Calculate the greatest common factor of 13 and c. 13 Suppose 5*o - 3*q - 28 = 0, 3*q = 3*o + q - 17. Suppose 0 = 7*z - 3*z + x - 196, 0 = -o*z - 5*x + 260. What is the highest common factor of z and 32? 16 Suppose -2*j = 3*j - 480. Suppose -179 - j = 5*o. Let b be (-10)/o - 1208/(-11). Calculate the greatest common divisor of b and 10. 10 Let d be (96/160)/(2/210). Calculate the highest common factor of 21 and d. 21 Suppose 0 = 5*m + 2 - 17. Suppose m*s - 9 = -0*s. Calculate the greatest common factor of s and 15. 3 Let m(h) = 38*h - 8. Let d be m(4). What is the greatest common factor of d and 16? 16 Let n = 5 - -6. Let f(h) be the second derivative of h**4/12 - 2*h**3/3 - 6*h**2 - 4*h. Let p be f(9). What is the highest common divisor of p and n? 11 Let f(b) = b**2 - b + 7. Let p be f(7). What is the highest common factor of 7 and p? 7 Let t(j) = j + 2. Let f be t(-1). What is the highest common divisor of 5 and f? 1 Let c(f) = 13*f + 3. Let k be c(6). What is the highest common divisor of 9 and k? 9 Let g be 1/(-2) + 1/(-2). Let r = g + 3. Let q be 1/(3/72) + -2. What is the greatest common factor of r and q? 2 Suppose 2*s - 134 = -0*s. Let t = 5 + s. Calculate the greatest common factor of 24 and t. 24 Let x = -6 + 16. Let f(c) = c**3 + 5*c**2 + 5*c + 5. Let d be f(-4). Suppose -d = -3*t + 5. Calculate the highest common factor of t and x. 2 Let t(u) = -34*u. Let l be t(-9). What is the greatest common divisor of l and 34? 34 Let t = -5 + 39. What is the highest common factor of t and 34? 34 Suppose 0*j - 1 = j. Let b(n) = 31*n**2 + n. Let k be b(j). What is the highest common factor of 12 and k? 6 Suppose q + q = -4*d + 32, -2*q = 0. What is the highest common divisor of d and 2? 2 Let a = -13 - 6. Suppose 4*q = -0*z + 5*z - 196, -3*q = z + 147. Let b = a - q. What is the highest common divisor of 10 and b? 10 Suppose -3*f + 9 = 0, -5*r - 2*f + 0*f + 106 = 0. Calculate the highest common factor of 50 and r. 10 Suppose 2*l = -2 + 38. Let q = -14 - -26. Calculate the greatest common factor of l and q. 6 Let g(v) = v - 21. Let d be g(0). Let p = -10 - d. Suppose -2*r + 0*r + 176 = 0. What is the greatest common divisor of r and p? 11 Let g be ((-54)/36)/(6/(-136)). What is the highest common divisor of g and 85? 17 Let k(n) = 4*n + 2. Let t be k(5). Calculate the highest common divisor of 2 and t. 2 Let g = 29 - 17. What is the highest common fac
{ "pile_set_name": "DM Mathematics" }
-54 39 Evaluate 8 + -2 - 13 - (269 - 289). 13 3 + -2 + -14 + -16 + 31 - 5 -3 What is the value of -2 + -13 + 1 + 60 + (-27 - -84) + -15? 88 What is the value of (-44 - (-70 - 13)) + 27? 66 Calculate 2 + -25 - (976 - 946). -53 Evaluate (-169 - -35) + 27 - (17 - 19). -105 What is (140 + -62 - (-2 - -13)) + 41? 108 Evaluate -5 + -7 + (-19 - -20) + -19. -30 Evaluate 18 - 9 - -18 - 67. -40 Calculate 22 - (26 + (-21 - -3) - -36). -22 What is the value of (-12 - (67 - 66)) + -28? -41 410 + -467 - (-2 + (2 - 1) + 17 + -16) -57 (-3 - -12) + 1 - (-57 + 0 + 7 + -4) 64 (26 - -1) + -35 + 11 + 32 35 Evaluate (-19 + 3 - -17 - 44) + 2 + 3. -38 What is (28 - 57 - -62) + -2? 31 (199 - 137) + -106 + -13 -57 Calculate -8 - (2 + 15 - 2 - (2 - (47 - 37))). -31 Calculate 49 - 131 - -215 - 97. 36 What is the value of 467 - 470 - (61 + 3)? -67 What is the value of 9 + -26 + (122 - 90)? 15 -34 - (2 - (-61 + 33)) -64 What is -111 - (18 + 15 + -55)? -89 Evaluate (-10 - 87 - -134) + -15. 22 Evaluate -62 - -139 - 50 - -57. 84 Evaluate 11 - (-8 - -1 - 48) - ((-2 - 2) + 3). 67 Evaluate 97 - ((0 + -7 - 12) + -2 - -25). 93 What is (35 - (102 + -50)) + 22? 5 Evaluate 30 - -12 - (1 + 4 + -9 + 17). 29 Calculate -10 - ((-61 - 1) + -1 + -5 + 1 + -5). 62 -963 - -939 - (-35 + 1) - (3 + -71) 78 What is (1 - 30) + (1010 - 940)? 41 32 + 11 - (-1 + (17 - 1 - (-19 + 24))) 33 Evaluate (-185 - -189) + (8 + -10 - -7 - (-56 - 1)). 66 What is -13 - (1 + -6 - (23 - 24)) - -52? 43 What is -6 + -12 + (45 - 27 - 10)? -10 Calculate -27 + (16 - 36) - -44. -3 Evaluate (-31 - (-7 + -52 + 8)) + -19. 1 Evaluate -1 - (-91 + (14 + (-19 + 9 - -2) - 16)). 100 Calculate 53 - (228 - 120) - 0. -55 What is 50 + 23 + -63 - (59 + -8 - 4)? -37 Evaluate 46 + (26 - 96) - (-13 - (1 - -3)). -7 What is the value of 26 - (4 + (0 - 0) + (-41 - (-28 - 11)))? 24 (30 + (-3 - 4) - 31) + 56 48 Calculate 3 + (-1 - (-4 - 0)) - (2765 - 2779). 20 What is the value of 7 + -25 + 2 - (240 - 194)? -62 What is -18 - (22 + 21 + -25)? -36 -19 + (-5 - (42 + -54)) -12 Evaluate (-2 - -26 - (227 + -212) - 9) + -52. -52 Calculate -8 + (10 - (-3 - -7)) + 3 + 45. 46 Calculate (6 + 2 - (23 - (-1 - (-11 + 4)))) + 23. 14 What is the value of -17 - (15 + -45 + 73)? -60 What is 32 + -4 - 1 - 13 - (67 - 81)? 28 Evaluate (47 - -41) + (-15 - 3) + -19. 51 Evaluate 16 + 24 - (-13 - -16 - -9) - 4. 24 What is the value of (-77 - (-5 + -63)) + -1? -10 What is the value of -17 + (24 - 4) + -26 - 43? -66 What is the value of (-14 - -22) + (-20 - -5 - -17) + -4 + 0? 6 266 + -263 + (35 - 114) -76 What is -30 + (43 - (6 - -30))? -23 Evaluate -1 + -44 + (-1 - -5 - 4) + 4 + 3. -38 Evaluate (30 - (31 - -11)) + -147 + (-9 - -6) - -13. -149 What is the value of (-35 - -32) + 68 - 140? -75 Calculate 7 + (-21 + 1 - -46) + -82. -49 Evaluate 65 + 1 + (27 - (-34 + 72)). 55 Evaluate -4 + (21 - 36) + -12 + (-2 - -6). -27 What is the value of (-1 + -27 - -31) + 16 + -17? 2 Calculate (-18 - -11) + 8 + 0 + (3 - 62) + -3. -61 What is the value of -194 - (-11 + -96) - (-21 - 0)? -66 Evaluate 106 - 0 - (-19 + (31 - (46 + -41))). 99 What is the value of (130 - 129) + (-13 - (8 + (-2 - 1)))? -17 Evaluate 5 + -3 + (-75 + 60 - (-9 - -2 - 76)). 70 What is the value of -38 + -15 + -92 + 47? -98 What is the value of (6 - 16) + (28 - (-29 - -85)) - (9 - -1)? -48 2 + (-12 + (-7 - -14) + 17 - 1) 13 Evaluate 85 - (-61 - 0) - 66. 80 Evaluate -21 - (13 + -3 + 15 + -14 + -15). -17 Evaluate 0 - -132 - ((28 - -12 - -33) + -64). 123 Calculate (-4 - -14) + -10 + 13 + -20 + -69. -76 Calculate (57 - -15) + (-27 - 0). 45 What is 10 + 2 + 41 + 28? 81 What is the value of -16 - ((-18 - (-27 + (6 - -7))) + -7)? -5 Calculate -73 + 61 + (50 - 152). -114 Calculate -6 + 44 + -61 + (1 - -10) - 23. -35 What is the value of -5 - -6 - -17 - (-42 + -17 + 3)? 74 Evaluate -8 + 68 - (38 + 37 + -49). 34 What is the value of 138 - (-33 + 78 - -50)? 43 Calculate (3 - (-2 + 7)) + (-1 - (6 + -3)). -6 What is (0 + -28 - -60) + 30 + -26? 36 Evaluate (8 - -33) + -84 + 66. 23 -7 - (-13 - (-13 + 14)) - -25 32 What is 150 + -22 + -22 - 1 - 9? 96 What is (339 - 292) + (-1 - 15 - -2) + -2? 31 What is -13 + 11 - (18 + 37)? -57 What is -22 - (0 - -4) - (31 + -31 + 1 + 2)? -29 Calculate (-29 - 5) + -10 + 27 + -48. -65 What is the value of -1 + -108 + (1931 - 1905)? -83 What is 0 + -4 + (365 + -456 - (2 + -24))? -73 -1 + -27 + -5 + 11 - -15 -7 Evaluate 1 + (46 + 46 + -75 - (2 - -12)). 4 Evaluate -118 + -5 + 89 + (-6 + 3 - 12). -49 What is -22 - (-72 - (-50 - -3)) - (-72 - 0)? 75 -26 + -10 + 17 - -52 33 What is (2 - 0 - (-35 - 24 - (-14 - -15))) + -2? 60 What is the value of 4 - 1 - (-61 - -72) - (-11 - (51 - 1))? 53 Evaluate 14 + 1 + -2 + 3 + -67 - 1. -52 (3 + -3 - 2) + (23 - (8 + 10) - 41) -38 Calculate 9 + -34 - ((-589 - -584) + (9 + -2 - -2)). -29 Evaluate -1 + 63 - (-27 - -37) - (17 + -36 - -16). 55 What is 2 - (-37 + -16 - -27) - 54? -26 What is the value of -17 + 14 + 6 + 36? 39 What is the value of (2983 - 2966) + 0 + 4 + (56 - -2)? 79 What is 15 - ((35 - (15 - (-14 - -39))) + -4)? -26 What is the value of 4 - (-29 - -42) - 27? -36 Calculate 33 - 1 - (-4 - (2 + -12) - -2). 24 Evaluate 94 + 112 + -225 + -28. -47 Evaluate -114 + (9 + 0 - (-86 + (85 - -2))). -106 What is -2 + 7 + 214 + -323? -104 What is (-26 - -26) + -19 - (-58 - 4)? 43 What is the value of -39 - (-8 - 65) - -5? 39 (-10 - 12) + (1 - 29) + 79 29 What is the value of -2 - (-15 + 9) - (-13 + -10 - 1)? 28 What is the value of -4 + -59 + 15 + (14 - 3) - -10? -27 Calculate -122 + 0 + -22 + (39 + 38 - 61). -128 Evaluate -105 + -2 + (-73 + 225 - 169). -124 Calculate (24 - 25 - -31 - (0 - 14)) + (1 - 0). 45 (37 - (-48 - -40)) + -8 37 What is -19 - -2 - (-16 + (37 - (30 + 75)))? 67 Calculate 1 - 9 - (168 + -142 + -42 + -3). 11 4 + (-93 - -65) - 14 -38 (1 + -3 - 21) + (93 + -33 - 65) -28 (15 - 22 - -5) + ((15 - 8) + 2 - 9) -2 What is the value of 9 - (-7 - -11) - 2 - (3 + 6)? -6 What is 4 - (-38 + -29 + 24)? 47 Evaluate -7 + 10 + -37 + 79 - 46. -1 -1 - 9 - (30 + (-22 - (22 - 24))) -20 111 + 0 - (-102 + (-11 - -44) + 54) 126 What is -12 - (2 + 0) - (618 + -680)? 48 0 + -1 + (-7 - -20) + -14 + 2 + 32 32 What is -1 + (20 - 50 - -68)? 37 What is -4 + (4 - 21 - 10) - -16? -15 1 + -56 + 18 + 17 -20 (1 - -11) + (-61 + -17 - -28 - 7) -45 What is (1 + 32 - (76 + (42 - 98))) + (-7 - -2)? 8 Evaluate -32 - (-10 + 9 - (24 + -10 + -26)). -43 What is -2 + -2 + (-2 + 1 + 22 - (-396 - -378))? 35 Calculate 12 + 1 - 2 - 3 - ((-3 - 40) + -8). 59 What is 4 - (-15 + (-16 - -52) + -3)? -14 What is the value of -2 + 1 - ((41 - -30) + -33)? -39 Calculate -110 - ((373 - 408) + (36 - 0)). -111 What is 37 - (-19 - -32) - 10 - -7? 21 What is (20 - (-7 - (23 - 5))) + -8? 37 Evaluate (-28 + 8 - -56) + -14 + 30 + -10. 42 What is -72 + -1 + 18 + 11 - 16? -60 What is the value of -1 + -15 + (93 - (57 + 24))? -4 Evaluate -89 + -80 - -187 - (10 + 0 + -1). 9 Calculate 19 + 115 + (-2 - -1) + (-31 + 4 - -16). 122 Calculate -50 - 50 - -12 - -116. 28 What is the value of -65 - (38 - 61) - -46? 4 Calculate 1 - (-28 + 17 + -32). 44 What is the value of (-35 - (24 - 21 - -7)) + 11? -34 What is -1 - (-40 + -1 + 2 - (-1806 + 1800))? 32 -1 + (-14 - -19) + -6 - (9 - -4) -15 What is (-9 - (-8 - -13)) + (15 - (-2 - -123)) + 19? -101 What is 7 - -71 - (21 + 19)? 38 Evaluate 46 + -11 + 5 - (3 + 7 + -6). 36 What is the value of (-36 - 18 - -21) + 13? -20 What is 35 - 0 - (30 + (9 + -36 - 8))? 40 What is (-15 - (5 - (6 - 2))) + (-49 - -54)? -11 Evaluate -10 + 9 + (-89 - -119). 29 Calculate (55 - -1) + -2 - (-49 + -4 + 31 + 15). 61 Evaluate -1 + 9 + -19 + 9 + -11 - 47. -60 -13 - -2 - (14 + -68) - (5 - -9) 29 Evaluate 9 - (-35 + -1 - ((-33 - -6) + 5 + 17)). 40 Calculate (11 - 2) + 0 + 1 + 2 - (-6 + 66). -48 Calculate 159 + (-4 - -11 - (-106 + 146)). 126 What is the value of (1 - 3) + (1 - -2) - (-46 + 4 - 2)? 45 Evaluate (-4 - -2) + (-10 - -100) + -26 + -5. 57 Calculate (4 + -3 + -9 + (-20 - -147) - -16) + 5. 140 What is the value of (-8 - -28 - (-27 + 2)) + 1? 46 What is (-5 - (-6 + (-9 - 2) - -11)) + -9 + -50? -58 Evaluate (29 - 11) + -4 - 4 - (-22 - (-2 + 5)). 35 Evaluate 0 + -87 - (-86 - -15). -16 What is 27 - (0 - -14) - 40 - 33? -60 Calculate (-20 - 0) + -170 + 208 + -61. -43 What is -4 + -4 + -8 - (-82 - -28)? 38
{ "pile_set_name": "DM Mathematics" }
is the closest to 3/58? (a) u (b) -5 (c) -1 a Let w = -46 - -46. Suppose 5*i - 2*d - 13 = 1, w = -i - d. Let u = -0.44 - -0.04. What is the nearest to -2/7 in 4, u, i? u Let z = 354 - 355. What is the closest to 1 in 0.3, -0.3, z? 0.3 Let n = 1922 - 1914. What is the nearest to -3 in -2, 0.5, n? -2 Let g be 1/(-4) - (-689)/(-156). Let u = 4 + g. What is the closest to -1 in -0.2, -2, u? u Let k = -0.1 - -2.5. Let y = k - 3.4. Let i(r) = -r**3 + 4*r**2 + 6*r - 1. Let z be i(5). Which is the closest to -1? (a) z (b) -0.2 (c) y c Let k = 2.32 + 12.68. What is the nearest to -1 in -3, k, -4? -3 Let t = -103 + 103.49. Let g = 0.51 + t. What is the nearest to 0.1 in 3, g, 1/4? 1/4 Let t = 11.3 + -11.3. Let o be (-2)/(-4)*2/3. Let h = -16 + 15.8. Which is the closest to o? (a) t (b) -0.5 (c) h a Let z = -6.7 + 6.756. What is the closest to 1 in 0, -2/5, z? z Let x = -0.459 + 0.059. What is the closest to -4 in x, -0.1, 3? x Let m = -60 + 59. Which is the closest to 2? (a) 3 (b) m (c) -37 (d) -3 a Let x(q) = -q**2 - 2*q + 5. Let s be x(5). Let c(d) = d**3 + 30*d**2 - d - 30. Let o be c(s). Let n = 7 + -1. What is the closest to o in n, -3/4, 3/7? 3/7 Let s = -0.2 - -0.3. Let m = -23 - -23.6. Let v = 0.5 - m. Which is the nearest to v? (a) -0.4 (b) 1 (c) s c Let s be (-9)/(-3) - (-1)/(-1). Let h(r) = 4*r - 18. Let x be h(7). Suppose -x + 20 = 5*u. Which is the closest to u? (a) s (b) 1/3 (c) 1/5 a Let d = 211/4 - 53. Let s = 11.25 + -7. Let w = s - 0.25. Which is the closest to d? (a) 2/13 (b) w (c) -2/5 c Suppose 4 - 12 = 2*b. Let a be (12/(-3))/b + -3. Let u = 0 + 1/6. What is the nearest to 0 in u, 3, a? u Let n be (-8)/(-90) - (-4)/(-18). Let d(r) = -3*r + 111. Let p be d(35). Which is the closest to 1/7? (a) n (b) p (c) -4 a Let h = -25 + 12. Let y be 0 - (-3 + h/(-4)). Let m = -125/366 + 1/122. Which is the closest to y? (a) 0.1 (b) 0.4 (c) m c Suppose 0 = 3*y + 3*w - 174, -5*y = 4*w - 277 - 10. Which is the closest to -1? (a) -0.4 (b) y (c) -0.5 c Let m = -0.0784 - -0.0684. Which is the nearest to -1/6? (a) 1/4 (b) 2 (c) m c Let r = -652 + 634. Which is the nearest to 1? (a) -2/7 (b) 1/5 (c) 5 (d) r b Let n = 3.97 - -1.03. Which is the nearest to 13? (a) n (b) 4/19 (c) 2 a Let q be ((-16)/(-24))/((-8)/(-12)). Let m = 3.01 + -0.01. Let p = -2 + 1.8. What is the closest to -2 in q, m, p? p Let w = -34.006 - 0.394. Let z = w + 34. Let g = 6/65 + 23/455. Which is the closest to 2/3? (a) -1 (b) z (c) g c Let f = 3 - 2.8. Let k be 70/98*9/(45/(-2)). What is the nearest to -2 in -2, f, k? -2 Let l = -254495/4863 - 2/4863. Let j = 53 + l. Which is the nearest to 1/2? (a) -3 (b) j (c) 0.4 c Let g = 4 - 2. Let x = -0.0456 + -0.9544. Let v = -0.5 - -0.3. Which is the nearest to v? (a) g (b) x (c) 4 b Let i = 222.2 - 222. Let h = 55/2 - 27. Which is the closest to i? (a) h (b) -2/5 (c) 0 c Let s be 1 + ((-189)/(-24))/(-7). Let w be ((-4)/(-40))/(-3*1/(-18)). Which is the nearest to 1? (a) w (b) -0.4 (c) s a Let z = -1388 - -1384. Which is the closest to -0.2? (a) z (b) 0.4 (c) -0.4 (d) -0.5 c Let n = 0.2 - 0.1. Let t(z) = 3*z - 6. Let x be t(-2). Let b be (17/170)/((-2)/x). What is the nearest to 0.1 in -1, n, b? n Let x = -67 - -57. Let j = x + 10.5. Which is the closest to 0.01? (a) -5 (b) j (c) -5/3 b Let s = 2.09 + 0.31. Let p = 2.2 - s. Which is the nearest to 0? (a) 2/7 (b) -3 (c) p c Let d = -1.05 - -1.45. Let n = -159.87 - -159. Let x = n + -0.13. Which is the nearest to 0.1? (a) -3 (b) d (c) x b Let a = 157/335 - 18/67. What is the nearest to -2 in a, -2/7, 3/4? -2/7 Let k(d) = d**2 - 3*d. Let y be k(4). Let t = -2740 + 2743. What is the nearest to y in -2/9, t, 0.1? t Let s = -0.031 + 72.031. Let j = s - 71.8. Which is the closest to -1? (a) -4 (b) 1 (c) j c Let q = 3.07 - 2.9. Let f = q + -5.17. Which is the nearest to f? (a) -5 (b) 4 (c) -5/3 a Let r = -2.011 - -6.011. Let q = -0.04 - 0.06. Which is the closest to q? (a) -3 (b) r (c) -4 a Suppose 3*n - 4 = 5*l, n + 4*n - 3*l - 12 = 0. Which is the nearest to 0? (a) 19 (b) n (c) 1/7 (d) 0 d Let p = 0.09 + 0.14. Let f = -5.27 - p. Let y = f + 5. Which is the nearest to -2/3? (a) 1/7 (b) y (c) -4 b Let j = 296.8 + -296. What is the nearest to 1/3 in j, 0.5, -1/3? 0.5 Let n = -857 + 857. What is the nearest to n in 2/9, 1/2, -2, 1? 2/9 Let j be (-38)/(-60) - 31/62. Which is the closest to 1? (a) 1 (b) j (c) -5 (d) 2/7 a Let u be 3*(2 - 3) + (-108)/(-48). Let x = 4.3 + -4. Which is the nearest to x? (a) 0 (b) u (c) -2 a Let l = -31 + 373/12. Let g be ((-2)/(-14))/(7/49*6). Which is the nearest to 0? (a) 0 (b) g (c) l a Let t = 155 + -153. What is the closest to 1 in 0.4, t, -7/3? 0.4 Let h = 502/21 - 165/7. What is the nearest to -1/2 in 2/3, h, -0.5? -0.5 Suppose -9*z + 64 = -2*z + 57. Let i = 9 + -6. Let k = 3.2 - i. What is the nearest to z in -0.5, k, -5? k Let x = 10.4 + 52.6. Let m = -66 + x. Which is the closest to 0.2? (a) -4 (b) 4 (c) m c Let r be (3 - 2)/(1/11). Let u = r + -10. Let w be -1*u/(0 + -1). Which is the closest to -3/5? (a) 4/3 (b) -0.5 (c) w b Let k = -317/105 + 55/21. Let m = 2/157 + 143/1099. Which is the closest to -1? (a) m (b) k (c) 0.3 b Let g = -42.7 - -45.7. Which is the closest to g? (a) -1 (b) 3 (c) -1/18 (d) -4 b Let k be (-2)/(-3)*8/48*-9. What is the closest to 1 in 0.7, k, -4/3, 2? 0.7 Let p = -2249 - -80977/36. Let f = 10/9 - p. Let x = -0.906 - -4.906. What is the closest to 2/5 in f, x, -0.3? f Let d = 74 + -76. Let a be d/(-7) + 38/(-84). What is the closest to 3/2 in a, -0.4, -2/7? a Let w be 1/((-1 - 0) + 12). Let f = 0.13 + -0.03. What is the closest to 2/5 in f, w, -0.12? f Let z = 1282 + -11540/9. Which is the closest to 2? (a) 2/5 (b) z (c) 4 a Suppose 0 = 2*n - n - 5. Let l = 7.5 + -7.4. What is the nearest to -0.1 in l, -2/3, n? l Let t(q) = -18*q - 10. Let d be t(-7). Suppose 5*r - 149 = d. Let x be (-1)/(-8) - r/40. What is the closest to 0 in 2, x, -4/3? x Let y be 8/(-198) - (-4)/18. Let m = -126 + 139.7. Let g = m + -14. What is the closest to -1 in y, 0.3, g? g Let s = 0.3185 - 5.3185. What is the closest to 0.2 in s, -0.3, -4, 8? -0.3 Let l = -21 + 28. Let w(f) = 2*f - 13. Let h be w(l). Let r = -0.5 - -0.5. What is the closest to r in -5, h, -0.3? -0.3 Let v be 1/((-22)/8 + 1). Let s = 35.7 - -0.3. Let j = 37 - s. Which is the nearest to v? (a) 0 (b) -1/4 (c) j b Suppose 2*h + 0*h = 0. Suppose 2*g - 3 + 9 = h. Let d be 2 - (-1 + 6/(6/3)). Which is the nearest to d? (a) g (b) 0.4 (c) 0 c Let o(n) be the first derivative of n**3/3 + 2*n**2 - n - 1. Let l be o(-5). Which is the nearest to 0.1? (a) -14 (b) l (c) 3 c Let z = -0.9 + 1. Let t = -3.6 - -6.8. Let p = t + -3.09. Which is the nearest to z? (a) 0 (b) 3/4 (c) p c Let p = 16.1 - -26.9. Let y = p - 44. Let f = 2 + -3. What is the closest to f in -4, y, 3/5? y Let o = 214 - 213. Let t = 7 - 11. Let i = t + 4.1. Which is the closest to o? (a) i (b) 5 (c) 2 a Let g = 0.05 - -0.15. Let k = -0.459 - -0.059. Which is the closest to g? (a) k (b) -4/5 (c) 3/8 c Let d be 6/60*5/4. Let x = -7/8 + d. Let f = 121/186 - -1/62. What is the closest to f in x, 4, -1? x Suppose -x = 2*z - 266, -x = -2*z + 240 + 22. Let m be ((-72)/z)/(-1 - 2). Let d = 1 + 3. Which is the nearest to 0.1? (a) 5 (b) m (c) d b Let g = 7 - 12. Let u(y) = y**2 + y - 5. Let z be u(7). Let q = 53 - z. Which is the closest to -0.1? (a) g (b) q (c) 0.5 c Let g be (-1089)/99 - 80/(-7). What is the closest to 1 in 3/2, g, -8? 3/2 Let o = 13.7 - 12.7. Let q = 0.7 - -0.3. What is the closest to q in -21, o, -0.2? o Let t = -67.5 + 67. Let s = 17 + -17. Which is the closest to 2/9? (a) 0.3 (b) s (c) t a Let s be (-1)/((-33)/15 + 2). Let m be (-2)/3*18/12. Let u = -17/69 + -2/23. Which is the closest to u? (a) s (b) m (c) 2/15 c Let d = 24.4 + -27. Let u = d + 3.1. What is the nearest to 0.4 in u, 4/5, -3/2? u Let g = 3.073 + -1.673. What is the closest to 1 in g, 1, -6, -0.5? 1 Let u = -33 + 32.83. Let j = 0.57 + u. Let o = 4 - 4.2. What is the nearest to -2 in o, j, 1? o Let z = 766 + -766.4. Let y = -3.03 + 0.03. Which is the closest to y? (a) 5 (b) -4 (c) z b Let v = 10 + -49/5. Let p be (-
{ "pile_set_name": "DM Mathematics" }
rivative of -5/24*j**4 + 0*j**3 + 0*j + 0 - j**2. Calculate c(m). 5 Let f(q) = 2*q**2 - 4. Suppose 5*u - 1 = 3*g, 4*g - 4 + 0 = 4*u. What is f(g)? 14 Let y(a) = 5*a - 2 + a**3 - 3*a - a - 5*a**2 + 3*a. Calculate y(4). -2 Let s(c) = -c**2 + c + 2. Suppose 0 = -11*l + 12*l. Determine s(l). 2 Let w(v) = v**2 + 11*v**3 + 10*v**3 - 22*v**3 - 10. Calculate w(0). -10 Let o(h) = 0*h + h - 11 + 0*h + 0*h. Let v be (-6)/(-9)*3*1. Suppose -3*i = v*i - 25. Determine o(i). -6 Let r(z) be the third derivative of -z**5/60 + z**4/8 + z**3/2 - 2*z**2. What is r(4)? -1 Let j(t) = 4*t + 4. Suppose 0 = 3*p + 5*b - b - 41, 0 = 2*p + 3*b - 28. Suppose p = -3*v + 4*m, 5*v = -m - 35 + 9. Calculate j(v). -16 Let z(x) = -2*x + 2. Let t = -91 + 89. Give z(t). 6 Suppose -1 = -2*w + 1. Let d(k) = -k**2 + 2*k + 8 + 6 - 15. Calculate d(w). 0 Suppose -2*q + 0 + 20 = -2*m, 5*q - 44 = 2*m. Suppose -q = -n + 3*n. Let f = n - -4. Let v(s) = -s + 2. Give v(f). 2 Let x(u) be the first derivative of -u**3/3 - 4*u**2 + 2*u - 5. Determine x(-8). 2 Let n(f) = -f**2 - 16*f - 5. Let d(c) = c. Let o(k) = -6*d(k) - n(k). Calculate o(-7). -16 Let j(y) = -7*y**2 + 7*y. Let w(d) = -11*d**2 + 11*d. Let f(n) = -8*j(n) + 5*w(n). What is f(-2)? 6 Suppose 5*m = -z - 3*z - 13, -2*m + 5 = 5*z. Let q(c) be the second derivative of -1/6*c**z - 1/2*c**2 + 0 - c. Determine q(-4). 3 Let b(g) = 2*g**3 - 2*g**2 - 2*g - 2. Let o(f) = -3*f**3 + 3*f**2 + 3*f + 5. Let l(n) = 5*b(n) + 3*o(n). What is l(0)? 5 Let n(y) be the second derivative of y**7/2520 - y**6/720 - y**5/24 + 5*y**4/12 - 2*y. Let m(g) be the third derivative of n(g). Calculate m(4). 7 Let y(z) = 1. Let n(x) = x**2 + 2*x + 2. Suppose -5*u + 1 = -4. Let o be -2 + (-2 - 3/(-1)). Let b(l) = o*n(l) + u*y(l). Determine b(-1). 0 Let h(z) = -2*z**2 + 2*z + 1. Let f be h(-1). Let a(d) be the first derivative of 4*d + 1/4*d**4 + 8 + d**3 + 0*d**2. Calculate a(f). 4 Let l(y) = y**2 + 3*y + 4. Let g(p) = -2*p + 4. Suppose 3*r - 17 = 2*n - 2*r, -5*n + 30 = 2*r. Let q be g(n). Determine l(q). 8 Let d(y) be the second derivative of -7*y**5/20 - y**4/12 - y**3/6 + 23*y. Calculate d(-1). 7 Let r(y) = y**2 - 7*y + 8. Let t be r(6). Suppose 3*j = t*j. Let w(m) = m - 5. Let f(i) = -2*i + 10. Let v(a) = 6*f(a) + 13*w(a). Determine v(j). -5 Let j(v) = -3*v**2 + v - 1. Let o(h) = 4*h**2 + 2. Let r(t) = -3*j(t) - 2*o(t). Suppose -2*q = -q - 3. Give r(q). -1 Let y = -6 + 17. Let n = y - 16. Let i = 9 + n. Let r(l) = -l**2 + 6*l - 1. What is r(i)? 7 Suppose 2*b - 3*v - 14 = -7*v, 4 = 4*b + 2*v. Let t(p) = -6*p**2 - p - 1. Give t(b). -6 Suppose 0*p = -3*p. Suppose 2*j + j = p. Let o(k) = -k**3 - 2 + 2*k**2 + k - 3*k**2 + 0*k**3. Calculate o(j). -2 Let m(y) = y**2 + 14*y + 5. Let j be m(-14). Suppose j*h - 20 = h. Let z(q) = 5 + 1 + h*q - 7*q + 2. Calculate z(6). -4 Suppose -3*n = -5*p + 42, 5*n - p + 5*p + 33 = 0. Let k be 2/n + (-473)/99. Let g(c) = -c**3 - 4*c**2 + 7*c + 5. Give g(k). -5 Let i(c) be the first derivative of -c**2/2 + 4*c - 12. Give i(6). -2 Let f(z) = -4*z**2 - 6*z + 4 - 1 + 3*z. Let r(b) = -3*b**2 - 2*b + 2. Let m(k) = -k + 1. Let j be m(4). Let o(i) = j*r(i) + 2*f(i). What is o(1)? 1 Suppose 2*d = 5*q + 13, 2*d + 5*q = d - 1. Suppose -d - 2 = 3*b. Let n be 3*(-2 + 4)/b. Let o(h) = -h**3 - 4*h**2 + 3. Determine o(n). -6 Let v(g) = -2 + 112*g + 7 - 111*g. Determine v(-4). 1 Suppose 7*v - 15 = 2*v. Let s be (-2 + 3)/((-2)/(-10)). Let m(b) = b - s*b + 3*b + 1. Give m(v). -2 Let o(n) be the second derivative of 2*n**3/3 - 5*n. Suppose 2*i + 3*i = -40. Let z be ((-2)/(-3))/(i/12). Determine o(z). -4 Let c(b) = b**3 - 6*b**2 + 4*b - 5. Let n = 9 + -14. Let w = n - -10. Determine c(w). -10 Suppose -65 = -5*a - 0*a. Let m = a - 13. Let l(z) = z + 3. Give l(m). 3 Suppose 0 = g - 3*z - 13, 3*g - 4 = 2*z + 14. Let l(u) be the first derivative of 0*u**3 + 2 - u**2 + u + 1/2*u**g. Calculate l(-2). -11 Let p(h) = h - 3*h + 20 + 22*h. Let w(z) = 7*z + 7. Let c(a) = -6*p(a) + 17*w(a). Suppose 3*u - 3*f = 0, -u + f = 4*u. What is c(u)? -1 Let l = 11 + -7. Let v(t) = -1 + 0*t + l*t - 2. Give v(2). 5 Let c = 1 + 3. Let v(i) = -i - 5. Calculate v(c). -9 Let r(b) = 2*b - 13. Let q(u) = -u + 6. Let i(a) = -5*q(a) - 3*r(a). What is i(0)? 9 Let t(h) be the third derivative of h**4/24 - 10*h**2. Calculate t(2). 2 Let o(y) be the third derivative of -y**5/60 - y**4/6 - 2*y**3/3 + y**2. Let u(f) be the second derivative of -5*f**3/6 + 5*f. Let i be u(1). Determine o(i). -9 Let f = -5 + 4. Let j be 2 - 3 - f/1. Suppose -b - 3*g = 2, 19 = -j*b - 4*b - g. Let x(n) = -n**2 - 6*n - 1. Give x(b). 4 Let s(n) = -424*n + 5*n**2 + 424*n + 8*n**2 + 1. Determine s(1). 14 Suppose 2*s - s - 113 = 4*y, -5*s = 4*y + 107. Let o = -28 - y. Let f(c) = -c**2 - c - 4. Give f(o). -4 Let d(o) = 3 - 2*o - 3. Suppose y + 5*r = 4, 37*r = 3*y + 32*r - 12. Give d(y). -8 Suppose 6 = -5*x + 36. Let h be (x/(-15))/((-2)/(-20)). Let a(k) = 0 - 5*k - k**2 + 2 - 1. Determine a(h). 5 Let h be (1/1)/((-7)/(-14)). Let b(s) = 5*s**2 - 2 - 1 - h - 4*s - 4*s**2. Determine b(5). 0 Let v(p) = p**2. Let l(d) = d**2 - 3*d**2 - d**2 - d + 2*d**2. Let f(z) = -7*l(z) - 6*v(z). Calculate f(-6). -6 Let d(h) be the third derivative of h**7/2520 + h**6/120 + h**5/30 + h**4/8 + 9*h**2. Let b(v) be the second derivative of d(v). What is b(-4)? -4 Let w(k) = 10*k - 2 - 2 - 9*k. Determine w(7). 3 Let k(s) be the third derivative of 0*s + 1/12*s**4 + s**2 + 0 - 1/3*s**3 + 1/20*s**5. Calculate k(-2). 6 Suppose -t + 7 = 4*t - 4*k, -5*t - 3*k = -21. Let o(b) = 6*b + 5 + 2*b - t*b - 6. Let v(s) = -s**3 + 9*s**2 + 10*s + 1. Let w be v(10). Give o(w). 4 Let f(z) = -z**3 + 5*z**2 - 3. Let c = -1 - -6. Calculate f(c). -3 Let t = 4 - 5. Let q(s) = -14*s + 5*s**2 + s**3 + 16*s - 4*s**2 + 1. Give q(t). -1 Let m(o) = o**3 + 0 - 2*o**3 + 5 - 4*o - 5*o**2. Give m(-5). 25 Let h be 5*((-32)/(-20) + -2). Let x(t) = -4*t**2 - t - 2. Determine x(h). -16 Suppose 0 = -2*b + 4*b + 12. Let j(g) = -g**2 - 6*g - 9. Calculate j(b). -9 Let x be -1 + 4/((-12)/(-9)). Let a be 0/x + 2 + -3. Let p(n) = 4*n**2 - 5*n + 2 - 3 + 3*n. Give p(a). 5 Let s(j) be the first derivative of 0*j + 1/2*j**3 + j**2 - 1/24*j**4 - 1. Let n(w) be the second derivative of s(w). Calculate n(4). -1 Let o(g) = 6*g - 1. Suppose 4 = j - a, -j + 5*a + 2 = -14. Calculate o(j). 5 Let a(l) = 4*l - 5*l - l**2 + 2*l**2 + 2*l. Let d(y) = -y**2 - 2*y - 1. Let s be d(-1). Suppose -4 = -s*q + 2*q. What is a(q)? 2 Let v(h) = 2*h**2 - 4*h + 8. Let x be v(5). Let b be x/14 - (-6)/21. Let y(i) = i**3 - 2*i**2 - i + 1. What is y(b)? 7 Suppose 2 = 3*m - 4. Let j(s) be the third derivative of 5/6*s**3 + 0*s - 1/60*s**5 + 0 + 1/12*s**4 + 3*s**m. Give j(4). -3 Let i(r) = -2*r**2 - 7*r - 5. Suppose 3*b - 2*b + 9 = 0. Let s = b + 5. Determine i(s). -9 Let r(g) = g + 1. Let v(y) = -2*y - 4. Let c(m) = -2*r(m) - 2*v(m). Suppose 0 = -3*i - 9 - 6. Give c(i). -4 Let c(g) = 2*g. Let a be c(2). Let o(p) = -p**3 + 4*p**2 + 3*p - 3. Give o(a). 9 Let h(g) = -g. Let r be (1 - 12/8)*-4. Calculate h(r). -2 Let o(c) = 20*c**3 - 12*c**2 - 14*c + 17. Let k(v) = 7*v**3 - 4*v**2 - 5*v + 6. Let g(w) = 17*k(w) - 6*o(w). Determine g(3). 6 Let v(x) = 10*x + 11. Let s(g) = 15*g + 17. Let i(a) = -5*s(a) + 8*v(a). Suppose -2*y = -y + 3. Give i(y). -12 Let f(k) = -4*k**2 + k**2 + 2*k**2 + k - 7 + 2*k**2. Calculate f(-5). 13 Suppose d - r + 7 - 4 = 0, -2*d = -r + 5. Let q(y) = 5*y + 3. Give q(d). -7 Let v(h) = -h**2 + 3*h**2 - 6*h + 1 + 0*h + 3*h. Give v(-3). 28 Let p = -10 + 12. Suppose -k - c + p = -2, 5*k = 4*c - 16. Let a(y) = -y. Give a(k). 0 Let t be (25 + -3)/2 + 0. Let z(c) = -c**3 + 12*c**2 - 10*c - 11. What is z(t)? 0 Suppose 0 = -x + 2*i - 3 + 7, i + 2 = 5*x. Let z(k) = -2*k + 0*k - 2 + 0*k - k. Let g(m) = m. Let c(b) = -4*g(b) - z(b). Give c(x). 2 Let i(k) = -k**3 - k**2 + 2*k + 1. Let t be 2/3*9/(-3). Let s(h) = h**3 + 2*h**2 + h. Let a be s(t). Let l = a - -4. Give i(l). -7 Let s(q) be the first derivative of -q**6/120 + q**4/24 - q**3/6 - 5*q**2/2 - 1. Let c(x) be the second derivative of s(x). Give c(0). -1 Let f(x) be the first derivative of -3/2*x**2 - 1/3*x**3 + 4*x - 4. Let n(p) = p**3 - 4*p**2 - 5*p - 5. Let c be n(5). Calculate f(c). -6 Suppose -3*q = -3*w + 21, 5*w = -q - 15 + 38. Let k(y) = y - 5. Calcula
{ "pile_set_name": "DM Mathematics" }
d the third derivative of j(b) wrt b. 54 Find the second derivative of -124*u**4 + 85*u - 111*u**4 + 0*u**4 + 95*u wrt u. -2820*u**2 Suppose j + 20 = 2*d, 4*d + 2*j + j = 20. What is the second derivative of 57*t**3 + 2*t - 57*t**3 + d*t - 5*t**4 wrt t? -60*t**2 Let t = 3 - 1. Let w be 8/(-6)*(-6)/4. Differentiate w + 9 - 9 - 2*m**t wrt m. -4*m Let m(r) be the first derivative of r**8/24 - 7*r**5/60 + 7*r**2 - 14. Let s(v) be the second derivative of m(v). Find the third derivative of s(n) wrt n. 840*n**2 Let g(i) be the third derivative of 32*i**8/21 - 3*i**4/4 + 3*i**3/2 + 2*i**2 + 153*i. Find the second derivative of g(u) wrt u. 10240*u**3 Let r(t) be the first derivative of t**8/1680 + t**5/8 - t**3 + 10. Let q(a) be the third derivative of r(a). What is the second derivative of q(d) wrt d? 12*d**2 Let g be -4 + 0 + -2 + 36/4. Find the third derivative of -2*y**2 + 13*y**3 + 18*y**3 - 50*y**g + 10*y**3 wrt y. -54 Let g(i) = -97*i**2 - 45. Let s(k) = 1554*k**2 + 721. Let z(m) = -49*g(m) - 3*s(m). Differentiate z(l) wrt l. 182*l Let m be 0 - (-4 - -7) - -3. What is the second derivative of 4*u**4 + 5*u + 2*u**3 + m*u**3 - 2*u**3 wrt u? 48*u**2 Let t(s) = -294*s**4 + 6*s**3 - 6*s - 261. Let y(a) = -294*a**4 + 5*a**3 - 5*a - 259. Let c(r) = -5*t(r) + 6*y(r). Differentiate c(d) wrt d. -1176*d**3 Let t be 1 + 0 + 0 + 6 + -5. Find the third derivative of 14*k**t + 5*k**2 + 27*k**4 + 7*k**2 wrt k. 648*k Let i(p) = -8*p**3 + p**2. Let l be ((-18)/8)/(6/(-16)). Let x(y) = -9*y**3 + y**2. Let v(s) = l*x(s) - 5*i(s). What is the third derivative of v(b) wrt b? -84 Suppose w - 20 = -2*p, 14 = 3*p - 1. What is the derivative of -26 - w*f + 5 + 14 wrt f? -10 Let b = 22 - 18. Find the second derivative of 36*f**5 - b*f**3 + 4*f**3 - 17*f**5 - 8*f wrt f. 380*f**3 Let p(i) = 6*i**4 + 3*i**3 + 24*i**2 - 2. Let x(j) = -12*j**4 - 6*j**3 - 47*j**2 + 4. Let b(t) = 5*p(t) + 3*x(t). Find the third derivative of b(c) wrt c. -144*c - 18 Let u(p) = p**2 + 3*p + 6. Let z be u(6). Suppose 17*r - z = 12*r. Find the third derivative of -5*n**2 + 14*n**6 - 13*n**6 + r*n**2 wrt n. 120*n**3 Find the second derivative of 34917*z**3 - 572*z - 34953*z**3 + 168*z wrt z. -216*z Let g be 6/39 - 112/52. Let t(k) = -13*k + 5. Let n(i) = 25*i - 10. Let p(u) = g*n(u) - 5*t(u). Find the first derivative of p(d) wrt d. 15 What is the third derivative of 2*n**6 + 15*n**4 - 6544*n**2 + 6591*n**2 + 0*n**6 wrt n? 240*n**3 + 360*n Let c(r) be the first derivative of 133*r**2/2 + 56*r + 17. Differentiate c(n) wrt n. 133 Let n(y) be the third derivative of -y**9/84 + y**6/40 + 19*y**5/30 + 79*y**2. What is the third derivative of n(o) wrt o? -720*o**3 + 18 Let u(b) be the third derivative of 659*b**7/210 + 23*b**5/10 - 29*b**2 - 6. What is the third derivative of u(h) wrt h? 15816*h Let f(b) = 3*b**3 + 7*b**2 + 335*b + 761. Let s(m) = -m**3 - 3*m**2 - 167*m - 380. Let u(w) = -3*f(w) - 7*s(w). Differentiate u(k) wrt k. -6*k**2 + 164 Let u(a) = a**3 + 23 - a - a**4 - 24 - a**3. Let l(t) = 11*t**4 + 10*t + 3. Let f(k) = -l(k) - 3*u(k). Find the second derivative of f(w) wrt w. -96*w**2 Let v(c) = -7*c**4 - 89*c**3 + 1078*c**2. Let l(p) = -4*p**4 - 44*p**3 + 538*p**2. Let m(b) = -5*l(b) + 3*v(b). What is the third derivative of m(h) wrt h? -24*h - 282 Let z(d) be the third derivative of 2*d**6/15 + d**4/4 + 5*d**3/3 + 7*d**2. Let u(y) = -y**3 - y - 1. Let f(g) = 6*u(g) + z(g). Differentiate f(h) wrt h. 30*h**2 Find the first derivative of 558*n**2 + 576*n**2 - 1063*n**2 + 204 wrt n. 142*n Let w(k) = k**3 - 7*k**2 + 9*k - 7. Let x = -3 + 9. Let b be w(x). What is the first derivative of 0*f - 1 - f + b*f wrt f? 10 Let f(n) be the second derivative of 29*n**5/20 + n**4/12 - 4*n**2 + 4*n - 4. Find the third derivative of f(o) wrt o. 174 Let h(p) be the third derivative of 1/210*p**7 + 7/8*p**4 + 0*p**6 + 0*p**3 + 0*p**5 + 0*p + 0 - 13*p**2. What is the second derivative of h(c) wrt c? 12*c**2 Let q = -7 + 9. Suppose l - 9 = -q*l. Find the third derivative of -2*f**2 - 3*f**2 + 4*f**6 - l*f**6 wrt f. 120*f**3 What is the derivative of 32 + 20 - 84*r**4 + 12 wrt r? -336*r**3 Find the third derivative of -18*k**2 - 17*k**2 - 99*k**4 + 32*k**2 wrt k. -2376*k Let a = 258 + -29. What is the second derivative of -4*l**3 + 2*l**3 + 229 - a - 6*l wrt l? -12*l Let w(p) = -p**2 + 3*p + 28. Let g be w(7). Let o(m) be the first derivative of -5/2*m**4 + 0*m**2 + g*m**3 - m + 2. What is the derivative of o(q) wrt q? -30*q**2 Let t = -71 - -74. Find the second derivative of 3*m + t*m - 5*m - 4*m**3 wrt m. -24*m Suppose -d + 2*z + z = -4, 12 = 3*d - 2*z. Suppose -d*p = -p - 6. Find the third derivative of 12 + 2*q**5 - 12 + 4*q**p wrt q. 120*q**2 Let t(n) be the first derivative of 0*n**2 + 36*n - 24 + 0*n**3 + 3/4*n**4. Differentiate t(x) with respect to x. 9*x**2 Find the second derivative of 13*o - 16*o**2 + 42*o**2 + 71*o**4 - 26*o**2 wrt o. 852*o**2 Find the third derivative of w**2 - 1 - 14*w**3 + 1 - 100*w**2 wrt w. -84 Let c = -21 - -28. Suppose 4*q - c = 13. What is the third derivative of 8*n**5 - 11*n**q + 3*n**2 - 11*n**2 wrt n? -180*n**2 Let o(c) be the first derivative of 9 + 0*c + 1/2*c**4 + 0*c**2 + 4*c**3. Find the third derivative of o(m) wrt m. 12 Let y(m) = 1377*m**4 + 5*m**3 - 471*m - 3. Let k(z) = -2065*z**4 - 7*z**3 + 706*z + 4. Let x(u) = 5*k(u) + 7*y(u). What is the second derivative of x(l) wrt l? -8232*l**2 Find the second derivative of 43*j + j**5 - 2*j**5 - 5*j**2 - 20*j + 21*j**2 wrt j. -20*j**3 + 32 Let h(p) = 3*p**2 + 23*p - 13. Let i be h(-11). What is the third derivative of 33*b**3 - 104*b**2 + 173*b**2 - i*b**2 wrt b? 198 Let k(s) be the first derivative of 0*s + 0*s**5 - 6*s**2 + 0*s**4 + 4/3*s**6 + 0*s**3 + 13. Find the second derivative of k(o) wrt o. 160*o**3 Let c(y) = y**2 - 7*y + 6. Let f be c(7). What is the third derivative of 4*v**f - 2*v**2 - 15*v + 15*v wrt v? 480*v**3 Let r = 195 - 195. Let m(s) be the third derivative of r*s**5 + 0*s**4 - 2*s**2 - 1/6*s**3 + 0*s + 1/40*s**6 + 0. What is the first derivative of m(j) wrt j? 9*j**2 Let p be (-95)/(-20) - 2/(-8). Let w = 8 - p. What is the third derivative of -3*l**6 - 5*l**3 + 5*l**w + 4*l**2 wrt l? -360*l**3 Let z = 13 - 12. Suppose 2*r - 11 = -z. What is the second derivative of n + 10 - 10 + 2*n**r + 0*n wrt n? 40*n**3 Let q(p) be the second derivative of -p**6/40 + p**5/3 + 3*p**2 + 9*p. Let g(h) be the first derivative of q(h). Find the third derivative of g(b) wrt b. -18 Let m(r) be the third derivative of -4/15*r**5 + 0 + 21*r**2 + 0*r**4 + 0*r + 0*r**7 + 0*r**3 - 5/336*r**8 + 0*r**6. What is the third derivative of m(y) wrt y? -300*y**2 Let q(d) be the second derivative of -22*d + 9/4*d**4 - 23/15*d**6 + 0*d**2 + 0*d**5 + 0 + 0*d**3. Find the third derivative of q(p) wrt p. -1104*p Let r(f) = 2*f**3 + 8*f**2 + f + 8. Let x be r(-4). What is the first derivative of 7*a - 19*a + x*a + 0*a**4 + 21 + a**4 wrt a? 4*a**3 - 8 What is the second derivative of 2*s**4 + 17*s - 27*s**2 + 16*s - 43*s**2 - 1 wrt s? 24*s**2 - 140 Let o(x) be the first derivative of 13*x**8/1680 + 7*x**4/12 - 7*x**3/3 - 3. Let d(w) be the third derivative of o(w). Differentiate d(u) with respect to u. 52*u**3 Let z(r) = 3*r**2 - 53*r - 177. Let b(g) = -6*g**2 + 108*g + 352. Let i(d) = 4*b(d) + 9*z(d). What is the derivative of i(k) wrt k? 6*k - 45 Let b(d) be the third derivative of 1/21*d**8 - 24*d**2 + 11/24*d**4 + 0 + 0*d**5 + 0*d + 0*d**6 + 0*d**7 + 0*d**3. What is the second derivative of b(f) wrt f? 320*f**3 Suppose -2*n - 30 = 8. Let f = -17 - n. What is the first derivative of 2 + 3 + 6*x**2 - 9 - f wrt x? 12*x Let t(n) be the third derivative of 0 + 20*n**2 + 0*n - 23/60*n**5 + 0*n**4 + 23/6*n**3. What is the first derivative of t(h) wrt h? -46*h Suppose 0 = -6*t + 5*t - 6. Let v be 7 + t/3 + -2. What is the second derivative of -6*k - v*k**3 - 28*k**2 + 28*k**2 wrt k? -18*k Let p(n) = 312*n**4 - 5*n**2 + 119*n. Let f(i) = 156*i**4 - 3*i**2 + 60*i. Let w(o) = -5*f(o) + 3*p(o). What is the second derivative of w(m) wrt m? 1872*m**2 Let x(w) be the second derivative of 5/6*w**3 + 0 - 12*w + 9/2*w**2. What is the first derivative of x(n) wrt n? 5 Let m(u) = 40*u**2 - 23*u + 9. Let x(r) = 45*r - 18*r**2 - 77*r**2 - 20 + 16*r**2. Let
{ "pile_set_name": "DM Mathematics" }
g) = n(g) - 6*v(g). Let t(b) = 0. What is b? -1, 1, 48 Let a be (-132030)/(-3423) - (-1 + 35). Suppose 8/7*q**4 + 20/7*q**3 + a - 16/7*q - 40/7*q**2 - 4/7*q**5 = 0. Calculate q. -2, -1, 1, 2 Let z(s) be the second derivative of 4*s**2 - 1/10*s**5 + 5/6*s**4 - 67*s + 0 - 8/3*s**3. Factor z(p). -2*(p - 2)**2*(p - 1) Suppose -2*z - 4*w = -38, 28*z - w = 30*z - 26. Factor 28*m**5 - z - m**4 + 11 - 27*m**5. m**4*(m - 1) Let m(s) be the first derivative of 2*s**5/35 + 377*s**4/14 + 752*s**3/21 - 5193. Factor m(f). 2*f**2*(f + 1)*(f + 376)/7 Suppose 12*a - 38*a + 67418 = 0. Let w = a + -7699/3. Factor -w*h**2 + 0 - 32/3*h - 2*h**4 + 46/3*h**3. -2*h*(h - 4)**2*(3*h + 1)/3 Suppose -237*u + 228*u = 0. Suppose -4*t + 2 = -3*b, 5*b - 9 - 5 = -2*t. Factor -3*x**2 - 6 + u + x + 4*x**t. (x - 2)*(x + 3) Let m be 10/4*80288/65. Suppose -m*u = -3098*u + 20. Factor -2/17*n**u - 392/17 + 56/17*n. -2*(n - 14)**2/17 Let u(i) be the second derivative of i**4/8 + 23*i**3/4 + 195*i**2/2 + i + 402. Factor u(n). 3*(n + 10)*(n + 13)/2 Suppose 3*u - 9 = -14*d, -109 = 5*u - 2*d - 124. Factor 9*v**u - 215/4*v - 25 - 21*v**2. (v - 4)*(6*v + 5)**2/4 Let p(r) be the second derivative of -11/18*r**3 - 1/36*r**4 + 0*r**2 - 40 + 2*r. What is i in p(i) = 0? -11, 0 Let k = 495/7 + -9879/140. Let w(o) be the first derivative of 0*o - 1/4*o**3 + 0*o**4 + k*o**5 + 6 + 0*o**2. Let w(i) = 0. What is i? -1, 0, 1 Let k(z) be the first derivative of 7*z**6/3 - 74*z**5/5 + 33*z**4 - 88*z**3/3 + 8*z**2 + 781. What is y in k(y) = 0? 0, 2/7, 1, 2 Let w(k) be the first derivative of -4*k**6/15 + 6*k**5/5 + 4*k**4/5 - 2*k**3 - 4*k**2/5 + 803. Solve w(v) = 0 for v. -1, -1/4, 0, 1, 4 Suppose -13*b + 253 + 46 = 0. Suppose -z - a + b = a, 0 = z + 5*a - 20. Factor z + 2*x - 2*x**2 - 25 - 10*x**3 - 6*x**4. -2*x*(x + 1)**2*(3*x - 1) Let g(t) be the third derivative of 0 + 0*t**3 + 0*t - 60*t**2 + 1/50*t**6 - 2/525*t**7 + 0*t**4 - 2/75*t**5. Factor g(h). -4*h**2*(h - 2)*(h - 1)/5 Factor 56*p - 11*p**2 - 40 - 17*p**2 + p**3 - 12 + 11*p**2. (p - 13)*(p - 2)**2 Let l(h) be the first derivative of h**4/6 + h**3 + 29*h - 109. Let i(o) be the first derivative of l(o). Let i(g) = 0. Calculate g. -3, 0 Factor -7*n**3 - 4203*n + 278*n**2 + 10*n**3 + 409*n**2 + 6345. 3*(n - 3)**2*(n + 235) Let r(x) be the first derivative of -8/21*x**6 + 32/3*x**3 - 4/7*x**5 + 17 + 31/7*x**4 + 0*x + 24/7*x**2. Suppose r(l) = 0. What is l? -2, -1/4, 0, 3 Let g(d) = 3*d + 159. Let l be g(-45). Solve -l*w**2 + 13*w**3 - 4*w**4 + 6*w**2 - w**3 + 18*w**2 = 0. 0, 3 Suppose 2*s - 5*v - 7 = -8*v, 0 = 2*s - 4*v. Let -248 - 279 + 587 - 108*w + 29*w**s - 3*w**4 + 22*w**2 = 0. What is w? -5, 1, 2 Let s be 38218/(-2758) + 1/(3/42). Suppose 5*w - 10 = -0*f - 3*f, w + 3*f - 2 = 0. Factor 0 + 0*p + s*p**w + 1/7*p**3. p**2*(p + 1)/7 Suppose 2 = -4*h - k + 201, -3*h + 168 = -3*k. Let 5*f - 5*f**3 - 42*f**4 + 5 - 15*f**2 - h*f**4 + 98*f**4 + 5 = 0. Calculate f. -1, 1, 2 Let s = 866 + -349. Let o = 521 - s. Factor 6/5 + 2/5*z**o - 4/5*z**3 + 4/5*z - 8/5*z**2. 2*(z - 3)*(z - 1)*(z + 1)**2/5 Suppose 3*c = k + 6, 3*k + 2*c = -18 + 33. Let l(v) be the first derivative of 5/11*v**2 - 2/33*v**k + 15 - 12/11*v. Factor l(t). -2*(t - 3)*(t - 2)/11 Let w be 57/18 - 13/78. Let z(y) be the third derivative of 1/8*y**4 - 1/10*y**5 + 0 + 0*y**w + 1/40*y**6 + 0*y + 15*y**2. Suppose z(j) = 0. What is j? 0, 1 Let z(p) be the second derivative of -1536*p**2 + 1 - 1/10*p**6 - 60*p**4 - 448*p**3 - 39/10*p**5 - 13*p. Suppose z(y) = 0. What is y? -8, -2 Factor 0*v - 5382 + 5376 + 7*v**2 - v**4 + 5*v**3 - 5*v. -(v - 6)*(v - 1)*(v + 1)**2 Let k(t) = -t**2 - 21*t - 102. Let j be k(-8). Find c such that -18*c**2 + c**4 - 17 + 6*c - 31 + 3*c**4 - 8*c**3 + 74*c - 10*c**j = 0. -3, 1, 2 Suppose 22*a - 60 = -16. Factor -k**2 + 3*k**a - 7*k**2 - 512*k + 82*k - 9245. -5*(k + 43)**2 Let x(u) = u**3 - 7*u**2 - u + 11. Let n be x(7). Suppose -2*o + n = 0, 3*w + 3*o = -2*o + 28. Factor 2*c - w - 22*c**2 + 21*c**2 + 3*c. -(c - 3)*(c - 2) Let a(o) be the second derivative of o**6/4 - 201*o**5/40 - 51*o**4/2 - 17*o**3 + 48*o**2 - 138*o + 1. Determine b, given that a(b) = 0. -2, -1, 2/5, 16 Suppose 3*c - 4*w - 69 = 0, 17 = 2*c - 5*w - 22. Let v be ((-20)/25 - -2)*20/c. Solve -2/3*o**2 - 2/9*o**3 + v + 0*o = 0. -2, 1 Let l = -51 - -56. Let h be 2*(1050/4)/l. Factor -h*w**5 - 2*w + 2*w + 12*w**3 - 79*w**4 + 67*w**4. -3*w**3*(5*w + 2)*(7*w - 2) Suppose -4*q + 284 = -2*o - 52, -180 = -2*q + 4*o. What is i in -204*i**4 + 615*i + 988*i**4 - 62 + 742*i - q - 13*i - 3100*i**2 - 336*i**3 = 0? -2, 3/14, 2 Let v(d) = 5*d**4 - 60*d**3 + 324*d**2 - 632*d + 414. Let x(i) = 7*i**4 - 61*i**3 + 324*i**2 - 632*i + 413. Let t(r) = -3*v(r) + 2*x(r). Factor t(j). -(j - 52)*(j - 2)**3 Factor 1120/13 + 2/13*w**2 - 12*w. 2*(w - 70)*(w - 8)/13 Suppose 554*u - 22 = -22. Factor 2/3*d**3 + 0 + u*d + 16/3*d**2. 2*d**2*(d + 8)/3 Let 45*o - 335*o**2 + 2*o**3 - 67*o**2 - 682*o + 224*o**2 - 1147*o + 1960 = 0. What is o? -10, 1, 98 Let i be (-20)/(3 + 1 + -8). Let r be 15/(i - 2) - 584/120. Factor 0 - 4/15*h - r*h**2. -2*h*(h + 2)/15 Let o(s) = 7*s**2 - 20*s - 40. Let t(i) = 19*i**2 - 61*i - 121. Suppose -3*w + 25 = -4*q, -41*w + 2 = q - 39*w. Let g(c) = q*t(c) + 11*o(c). Factor g(x). (x + 2)*(x + 22) Suppose 12*y + 25*y = 10*y + 405. Factor -21/2*b + 3/2*b**2 + y. 3*(b - 5)*(b - 2)/2 Let p(z) be the third derivative of -z**5/210 - 31*z**4/7 - 54*z**2 - 54*z + 1. Suppose p(y) = 0. Calculate y. -372, 0 Let q(b) be the first derivative of -b**6/6 + 39*b**5/5 + 3*b**4/4 - 115*b**3/3 - 39*b**2 + 1982. Factor q(t). -t*(t - 39)*(t - 2)*(t + 1)**2 Let x(c) = -c**4 - 8*c**3 + 565*c**2 + 2399*c - 2945. Let r(l) = 3*l**3 - 282*l**2 - 1200*l + 1473. Let w(p) = -5*r(p) - 3*x(p). Factor w(t). 3*(t - 10)*(t - 1)*(t + 7)**2 Let z be (-32625)/825*(-2)/14. Let m = z + -37/7. Factor 2/11*b - 2/11 + 2/11*b**5 - 2/11*b**4 + 4/11*b**2 - m*b**3. 2*(b - 1)**3*(b + 1)**2/11 Let -25/2*o**2 - 61/4*o - 5/4*o**4 + 31/2*o**3 - 1/4*o**5 + 55/4 = 0. What is o? -11, -1, 1, 5 Let r(x) be the third derivative of 8/3*x**3 + 0*x - 226*x**2 + 0 + 1/30*x**6 + 19/12*x**4 + 9/20*x**5 - 1/210*x**7. Factor r(n). -(n - 8)*(n + 1)**2*(n + 2) Let h(t) be the second derivative of -1 + 9/10*t**5 - 1/10*t**6 + 4*t**3 + 0*t**2 - t - 3*t**4. Find o, given that h(o) = 0. 0, 2 Let j be (16 - -1 - -1)/(57176/24504). Factor 6/7*a**5 + 0*a - j*a**4 + 0*a**2 - 60/7*a**3 + 0. 6*a**3*(a - 10)*(a + 1)/7 Let p(u) be the third derivative of 0 + 0*u - 1/30*u**6 - 3/10*u**5 + 0*u**3 - 124*u**2 + 3/2*u**4 + 1/105*u**7. Solve p(s) = 0 for s. -3, 0, 2, 3 Let i(m) be the second derivative of -87/50*m**5 + 36/5*m**3 + 1/10*m**6 + 0 + 94*m + 39/5*m**4 + 0*m**2. Factor i(v). 3*v*(v - 6)**2*(5*v + 2)/5 Let s(x) be the first derivative of x**7/280 + x**6/20 - 9*x**5/40 - 7*x**4/4 + 32*x**3 - 136. Let v(k) be the third derivative of s(k). Factor v(w). 3*(w - 2)*(w + 1)*(w + 7) Let m = -10115 - -10147. Let g(o) be the second derivative of 1/84*o**4 - 5/7*o**2 + m*o + 0 - 1/14*o**3. Factor g(j). (j - 5)*(j + 2)/7 Let i be 2 + -3 + 3 + 1. Let w(f) = -4*f**3 + 657*f**2 + 494*f + 167. Let o be w(165). Solve 2/3*t**5 - 2*t**4 + 0*t + 0 + 8/3*t**o + 0*t**i = 0 for t. -1, 0, 2 Let g(u) be the first derivative of u**3/4 + 639*u**2/8 + 945*u/2 - 5154. Let g(t) = 0. Calculate t. -210, -3 Let w(p) = -4*p**3 - 25*p**2 + 82*p - 28. Let f(a) = a**3 - 7*a + 1. Let b(j) = 5*f(j) + w(j). Factor b(l). (l - 23)*(l - 1)**2 Let c(z) be the first derivative of 181/8*z**4 - 85 - 7/12*z**6 - 34/5*z**5 + 0*z + 6*z**2 - 65/3*z**3. Find t such that c(t) = 0. -12, 0, 2/7, 1 Let z(y) be the second derivative of 3*y + 0*y**2 + 0*y**3 - 11/195*y**6 + 0 + 1/39*y**4 + 9/130*y**5. Determine g so that z(g) = 0. -2/11, 0, 1 Let s(r) be the first derivative of r**3 - 1/32*r**4 + 8 + 51/16*r**2 + 13/4*r. Factor s(l). -(l - 26)*(l + 1)**2/8 Let k be ((-10 - -30) + -2)*(-6)/(-3). Let d(x) be the first derivative of -6*x**2 - 1/3*x**3 - k*x + 28. Factor d(a). -(a + 6)**2 Find c such that -129 - 2222 - 3*c**2 - 2352*c - 2285 - 56 = 0. -782, -2 Factor 138853062/19 + 2466/19*q**2 + 1013526/19*q + 2/19*q**3. 2*(q + 411)**3/19 Let u(d) be the second derivative of 0*d**2 + 2*d + 4/231*d**7 - 14/55*d**5 + 3/22*d**4 + 3 - 1/5*d**6 + 0*d**
{ "pile_set_name": "DM Mathematics" }
rest 100000. 0 What is -0.002081 rounded to 4 dps? -0.0021 Round -0.0002025 to 4 decimal places. -0.0002 What is 464700 rounded to the nearest one hundred thousand? 500000 Round 0.000000567 to 7 decimal places. 0.0000006 What is 0.53262 rounded to two decimal places? 0.53 What is -779 rounded to the nearest one hundred? -800 Round -0.454 to one decimal place. -0.5 What is 10513.1 rounded to the nearest 100? 10500 Round 432620 to the nearest one hundred thousand. 400000 Round 83300 to the nearest 10000. 80000 What is 1994400 rounded to the nearest one hundred thousand? 2000000 Round -0.0000009715 to seven decimal places. -0.000001 Round 12.177 to two decimal places. 12.18 What is -358.07 rounded to the nearest one hundred? -400 Round -6425 to the nearest 100. -6400 Round -0.000000342 to 6 decimal places. 0 What is -1423.9 rounded to the nearest ten? -1420 Round 4.2701 to 1 decimal place. 4.3 What is -801250 rounded to the nearest ten thousand? -800000 Round -40.8598 to one dp. -40.9 Round 394250 to the nearest 1000. 394000 Round 0.0000044285 to seven decimal places. 0.0000044 What is -0.00053369 rounded to 6 dps? -0.000534 Round 1390 to the nearest one hundred. 1400 What is -3.0651 rounded to 1 dp? -3.1 What is -0.000015883 rounded to six decimal places? -0.000016 What is 2157 rounded to the nearest 1000? 2000 Round -0.00000969 to five dps. -0.00001 Round 0.3429 to two dps. 0.34 Round -2948000 to the nearest 100000. -2900000 Round 0.007868 to 3 dps. 0.008 What is 162900 rounded to the nearest 1000000? 0 Round -5.7928 to 2 decimal places. -5.79 What is -17.452 rounded to the nearest ten? -20 What is -171400 rounded to the nearest ten thousand? -170000 Round 12.29 to the nearest 10. 10 What is 0.000783 rounded to four decimal places? 0.0008 Round 2.937 to one decimal place. 2.9 Round -0.150338 to two decimal places. -0.15 What is 51580 rounded to the nearest one thousand? 52000 What is -0.00052 rounded to 2 decimal places? 0 Round 18.56 to the nearest 10. 20 Round -23467 to the nearest one hundred. -23500 Round -8530000 to the nearest one hundred thousand. -8500000 What is -0.00000013374 rounded to 7 dps? -0.0000001 What is -0.000283 rounded to 5 dps? -0.00028 Round -31300 to the nearest 10000. -30000 Round -0.0000054928 to seven decimal places. -0.0000055 Round -708.2 to the nearest 10. -710 Round 4.1023 to 1 dp. 4.1 What is -0.00024522 rounded to six decimal places? -0.000245 Round -0.9 to one decimal place. -0.9 What is -0.001373 rounded to 3 dps? -0.001 What is 0.0045056 rounded to 4 decimal places? 0.0045 What is 0.042376 rounded to 2 decimal places? 0.04 What is -67.605 rounded to the nearest ten? -70 Round 0.00128844 to 4 decimal places. 0.0013 Round -0.0000003137 to seven decimal places. -0.0000003 What is 543000 rounded to the nearest 100000? 500000 What is 0.00000057203 rounded to 7 decimal places? 0.0000006 Round 30760000 to the nearest 100000. 30800000 What is 0.0000006926 rounded to 7 decimal places? 0.0000007 What is -0.0013064 rounded to four dps? -0.0013 Round 131960 to the nearest ten thousand. 130000 Round 22595.8 to the nearest 100. 22600 What is 3660000 rounded to the nearest one hundred thousand? 3700000 What is 0.00060552 rounded to 5 dps? 0.00061 Round 9409 to the nearest 100. 9400 What is -0.0003992 rounded to four decimal places? -0.0004 Round -0.000000643 to 7 dps. -0.0000006 Round 8026.82 to the nearest one hundred. 8000 What is -20.345 rounded to 1 decimal place? -20.3 Round -0.0000013934 to 7 dps. -0.0000014 Round -14751 to the nearest one hundred. -14800 What is -1739.8 rounded to the nearest 10? -1740 Round 0.01404 to 3 decimal places. 0.014 What is 34510 rounded to the nearest one hundred thousand? 0 What is 2296800 rounded to the nearest one million? 2000000 What is -0.0000033822 rounded to 6 dps? -0.000003 What is 113.03 rounded to the nearest ten? 110 Round 0.00000161822 to seven dps. 0.0000016 Round 0.0000132919 to seven dps. 0.0000133 Round -735000 to the nearest 10000. -740000 Round -636000 to the nearest 10000. -640000 Round -0.00002204 to 6 decimal places. -0.000022 What is 6724000 rounded to the nearest one million? 7000000 What is 40.64 rounded to the nearest 10? 40 Round -27291 to the nearest 1000. -27000 Round 0.0006951 to 5 dps. 0.0007 What is 13689800 rounded to the nearest one million? 14000000 What is -425.7 rounded to the nearest 100? -400 Round 1271000 to the nearest one hundred thousand. 1300000 What is -0.0002588 rounded to four decimal places? -0.0003 Round 71.76 to the nearest integer. 72 Round -748.3 to the nearest 100. -700 Round 195120 to the nearest one hundred thousand. 200000 Round -0.000030141 to five decimal places. -0.00003 Round 136.21 to the nearest ten. 140 Round -0.000014547 to 6 decimal places. -0.000015 What is 1.01017 rounded to two dps? 1.01 What is 760600 rounded to the nearest one hundred thousand? 800000 Round -0.002076 to four dps. -0.0021 What is 257330 rounded to the nearest 1000? 257000 What is -0.0000122083 rounded to seven decimal places? -0.0000122 Round 0.54412 to one dp. 0.5 What is -30504 rounded to the nearest one hundred? -30500 What is -0.0003281 rounded to five dps? -0.00033 What is -0.88415 rounded to two decimal places? -0.88 What is -218430000 rounded to the nearest one million? -218000000 What is -44860 rounded to the nearest one hundred thousand? 0 Round 0.003903 to 4 dps. 0.0039 Round 11580 to the nearest 1000. 12000 Round 199580 to the nearest 10000. 200000 What is 0.0348983 rounded to 4 decimal places? 0.0349 Round -399.2 to the nearest 100. -400 What is -0.004659 rounded to three decimal places? -0.005 What is 149.22 rounded to the nearest ten? 150 Round 24.98 to the nearest integer. 25 What is 0.073812 rounded to three decimal places? 0.074 What is -19.61 rounded to the nearest integer? -20 What is 0.000103178 rounded to 6 dps? 0.000103 What is -48600 rounded to the nearest one thousand? -49000 Round 0.000311 to four dps. 0.0003 Round 0.0003291 to 5 dps. 0.00033 Round -0.000019426 to seven dps. -0.0000194 What is -0.000099246 rounded to 7 decimal places? -0.0000992 What is -0.00346 rounded to two decimal places? 0 What is -161.649 rounded to the nearest 10? -160 Round 114781000 to the nearest 1000000. 115000000 Round -1.935 to 1 decimal place. -1.9 What is 0.000002689 rounded to 7 dps? 0.0000027 Round 2.5 to 0 dps. 3 Round -2.321 to 1 dp. -2.3 Round -698.3 to the nearest ten. -700 Round -0.0000001013 to 7 decimal places. -0.0000001 What is 29208 rounded to the nearest one hundred? 29200 Round 55500000 to the nearest one million. 56000000 Round 0.00901 to two dps. 0.01 Round 0.00000260281 to seven decimal places. 0.0000026 What is -0.00000339 rounded to seven dps? -0.0000034 What is -0.9362 rounded to 2 dps? -0.94 What is 0.0057788 rounded to 4 decimal places? 0.0058 Round -8498000 to the nearest one hundred thousand. -8500000 What is -0.00002144 rounded to five dps? -0.00002 What is -0.00067566 rounded to six dps? -0.000676 What is 3920000 rounded to the nearest 1000000? 4000000 What is 342900 rounded to the nearest ten thousand? 340000 Round -46.59 to the nearest 10. -50 Round -2.3891 to 1 decimal place. -2.4 Round -471350 to the nearest 100000. -500000 Round 0.095698 to four dps. 0.0957 Round -13530000 to the nearest one million. -14000000 Round -5.182 to one dp. -5.2 What is -0.26089 rounded to two decimal places? -0.26 What is 0.0000116 rounded to 5 decimal places? 0.00001 Round -0.00001081 to six dps. -0.000011 Round -31079 to the nearest 1000. -31000 Round -355440 to the nearest 100000. -400000 What is -0.00059183 rounded to 5 decimal places? -0.00059 Round 125730000 to the nearest one million. 126000000 Round -17.701 to the nearest integer. -18 What is 0.0000003157 rounded to 7 decimal places? 0.0000003 Round 750.6 to the nearest ten. 750 Round 62.17 to the nearest 10. 60 What is -3875.02 rounded to the nearest one hundred? -3900 Round 23650 to the nearest 10000. 20000 Round 3.2357 to one dp. 3.2 Round -0.4262 to one decimal place. -0.4 Round -459.7 to the nearest one hundred. -500 What is -0.012894 rounded to 4 decimal places? -0.0129 Round -0.000416 to 5 decimal places. -0.00042 Round 8.2 to 0 dps. 8 What is -0.0104521 rounded to five d
{ "pile_set_name": "DM Mathematics" }
5? (a) 0.06 (b) -0.128 (c) -1 (d) -17884 a What is the closest to -91 in 4, -3, 2, -3/46? -3 Which is the closest to 681? (a) -2/11 (b) -6 (c) 2 (d) -22 c Which is the closest to 2? (a) 2/3915 (b) 3/4 (c) 9 (d) 5 b Which is the closest to 0.16? (a) -10/133 (b) 0.2 (c) -2/95 b What is the closest to 0 in 0.1, 1/3, -0.02, 1.93, -1.48, -3? -0.02 What is the closest to 2/3 in 2/885, -10670, 0.2, -2/11? 0.2 Which is the closest to -2/7? (a) 1 (b) -0.0403 (c) -7 (d) 3/4 (e) -3/7 e What is the nearest to 5 in 1/5, 0.5769, 2/13, -417? 0.5769 Which is the nearest to -29.7? (a) 1/5 (b) 4/7 (c) 1088 a What is the closest to -1/3 in 0.4, 2/185, 16/9, -4/7, 1, 0.1? -4/7 Which is the nearest to -0.25? (a) 3 (b) 3/8 (c) -321 (d) 6 b Which is the closest to 0.3? (a) 33 (b) -3 (c) -6 (d) 0.1 (e) 1/131 d What is the nearest to 2/5 in 3704, 2/7, -54/7? 2/7 What is the nearest to 2 in 0, -1/5, -93579? 0 What is the closest to 0 in 3085, -2, -11.48? -2 Which is the closest to -3.589? (a) -0.4 (b) 0 (c) 3/2 (d) -8/11 (e) -0.1 d Which is the nearest to 19? (a) -3/47 (b) 46 (c) -0.4 a What is the closest to 1/3 in 4, -1/3, 5, -5, 1/4, 1637651? 1/4 What is the nearest to 126/31 in 2, 0.01, -0.5, 3, -1? 3 What is the nearest to 0.5 in -1/2, 83909, 4, 5, -1, -1/5? -1/5 Which is the nearest to 22? (a) 7 (b) -26 (c) 4/3 (d) -0.0232 a What is the nearest to 1 in 20, -0.2, -10.1, 5, 0.5? 0.5 Which is the closest to -2? (a) -1.35 (b) 453 (c) 3 (d) -5 a Which is the closest to -1/4? (a) 0.1 (b) 2/19 (c) 17 (d) 4341 a Which is the closest to -0.04? (a) -0.007 (b) 1/5 (c) -82 (d) -50 a Which is the nearest to -1653? (a) -4 (b) 109 (c) 1 (d) 6 a What is the closest to 489 in 1/7, -2/7, 1/6, 0.131, 1? 1 What is the closest to -3 in 2/17, -2, -2/11, 3, -46/11, 1/38? -2 What is the nearest to 0.1 in 0.2801, 1/3, -62? 0.2801 What is the nearest to -1 in -0.0467, -8/25, -6/5? -6/5 What is the nearest to 348 in -0.3, 1/5, -66/7, -1, 3? 3 Which is the nearest to -0.1? (a) 43 (b) 3 (c) -62 b What is the closest to 0.063714 in 2/5, -5, 3, 10, -0.5? 2/5 Which is the closest to -0.1? (a) 28745 (b) -2/3 (c) 4/5 b Which is the closest to -0.1? (a) 0.2 (b) -197 (c) -0.5 (d) -7323 a Which is the closest to -1? (a) -0.1 (b) -305398 (c) 5/4 a Which is the nearest to -3/1009? (a) -2.1 (b) -121 (c) 4 a What is the closest to 0.3 in -3, 3/56, -137.4? 3/56 Which is the closest to 0? (a) -109434 (b) -0.09 (c) -0.4 b What is the nearest to 0 in -503/10, -2, 33? -2 Which is the closest to 779? (a) 2/7 (b) 8 (c) -0.1 (d) 109 d Which is the closest to -76145? (a) 0.2 (b) -1 (c) -5 (d) 4.1 (e) 5 c Which is the nearest to 0.2? (a) 3 (b) 2188 (c) -0.1 c Which is the nearest to 2.69? (a) 6/61 (b) 27 (c) -4 a Which is the nearest to -0.08? (a) 0.028 (b) 2/89 (c) 2/11 (d) 3 (e) 0.3 (f) -5 b Which is the closest to -782? (a) -5 (b) -0.2 (c) 2/7 (d) -4 (e) -2/49 (f) -2 a What is the nearest to 2 in -4, 13363, -0.3, 2/5, -2/7? 2/5 What is the nearest to -5.27 in -1, 0.5, 6, -5/2, -3? -3 Which is the nearest to 4? (a) 0 (b) -8716.2 (c) 4/5 (d) 4 d What is the closest to 1978 in 0.07, -6, 0.041? 0.07 What is the nearest to 3 in 1110, 0.15, 27? 0.15 What is the nearest to -1629 in 5, -7078, 17, -5/4? -5/4 Which is the nearest to 1770? (a) 0.2 (b) 0.5 (c) -0.035 (d) 2 (e) 0.8 (f) -3 d What is the nearest to 2 in -4, 3, 2/65, 90, 4? 3 Which is the nearest to -21? (a) 2/13 (b) 45/4 (c) 16 (d) 0.2 (e) 2 (f) -3 f What is the closest to 1 in 157, 3, 3/7, 181? 3/7 What is the nearest to 3/89 in -4, 5, 56, -6, -3/2, -2? -3/2 Which is the closest to 1.271? (a) 0.5 (b) -6 (c) 0.2 (d) -0.1 (e) 0 (f) 5 a What is the nearest to -0.216 in 1.2, -0.213, -26? -0.213 What is the closest to 7/8 in -1/14, 1, 259/3, -8? 1 What is the closest to 0.2 in -150/11, -0.1, 5, -1, -723? -0.1 What is the closest to 0.8 in 1, 2.97, 7, 2, -2? 1 Which is the nearest to -3012? (a) -5 (b) 1/12 (c) -852 c Which is the nearest to 76? (a) -1 (b) 7329 (c) -3/7 c What is the closest to 1 in 18/5, 2/7, -276? 2/7 Which is the nearest to 2.2? (a) -3 (b) 384 (c) -5 (d) 48 a Which is the nearest to -133? (a) 4 (b) -145 (c) -3 (d) 0.9 (e) -2/7 b Which is the closest to 55/12? (a) 6 (b) -2/5 (c) 2/3 (d) 0.4 (e) -12/29 a Which is the nearest to 11/5? (a) 0.1 (b) -4 (c) 0.18 (d) -2 c Which is the nearest to -115325? (a) -5 (b) -2/63 (c) 0 a What is the nearest to 3/18728 in -2/5, -588, -0.03? -0.03 What is the closest to -42 in -7, 1/16, -0.3, -2/3? -7 Which is the nearest to 1? (a) 17 (b) 3 (c) 65 (d) -4 (e) 184 (f) 2/23 f What is the nearest to 14 in -5, -253, -2.7, 6, 0.2? 6 Which is the nearest to 1/4? (a) -10.75 (b) 61 (c) 2/9 c Which is the nearest to 68749? (a) -2 (b) 12 (c) -43 b What is the nearest to -61 in 1.5, 0.2, 2/7, -6368, -3? -3 What is the closest to 3/4 in 523, 1/12, 31/2, 1/4, -5? 1/4 What is the closest to 1 in 5/3, 0.2, -7, 134, -1.16? 5/3 Which is the nearest to 0.1? (a) -5 (b) -0.8 (c) 3 (d) 33/7 (e) 0.6 e Which is the nearest to 0.11? (a) 13 (b) 0.2 (c) -0.7 (d) -0.3 (e) 3/7 (f) -4/33 b Which is the nearest to 7? (a) 2/5 (b) 162 (c) 169 a Which is the nearest to 2? (a) -7/3 (b) 1.9 (c) 0.2 (d) 0.88 b What is the nearest to 1/7 in -1.13, 0.1, 15/14, 111? 0.1 What is the nearest to -6/5 in 0.11, 3, 2/23, 622, -11? 2/23 Which is the closest to 0.3? (a) 75216.6 (b) 0.1 (c) 2/5 (d) -2 (e) 0.04 c Which is the nearest to 0? (a) 0 (b) -2/15 (c) 46/3 (d) 9 a Which is the closest to 19? (a) -159 (b) 0.1402 (c) 3 c Which is the closest to 0? (a) -0.02 (b) 4 (c) -1293.965 (d) 1.1 a Which is the closest to 5? (a) -153 (b) 1/21891 (c) 2/13 c What is the closest to 6 in 2/7, 33/4, 27, 0.14? 33/4 What is the closest to -14 in 1/10, -3, -2/9, -4, -0.006? -4 What is the closest to 1 in -0.04, -1.1354, -7, -13, -3/4, 4? -0.04 What is the closest to 0.2 in 2/11, 1, -0.0999, -6, 3/7? 2/11 What is the closest to 2 in -16, 1, -4/103, 0.044? 1 Which is the nearest to -2/3? (a) -0.1 (b) -46 (c) -67827 (d) 3 a What is the nearest to 5/11 in 1, -0.9, -0.2, 2/409, 0.4, 3? 0.4 Which is the closest to 0.1? (a) 0.077 (b) -821 (c) -4 (d) -12 a What is the nearest to 385 in 0.01, 0, -0.44, -1.4? 0.01 Which is the closest to 21/2? (a) 2 (b) -3/10 (c) -4 (d) -7 (e) 0.1 a Which is the closest to 181991? (a) 0 (b) 0.5 (c) -20 (d) -1/2 b Which is the closest to 389? (a) -6 (b) -5 (c) -4/201 (d) 0.2 (e) -1 d What is the closest to 3.4 in -35081, 2/9, 0? 2/9 What is the nearest to 37 in -0.6, -4, 1, -2/7, 17, -1.8? 17 Which is the nearest to -1/2? (a) 2 (b) 0.5 (c) 1/5 (d) 16/7 (e) -4/457 e Which is the nearest to 1069509? (a) 0.1 (b) -4 (c) -5.8 a Which is the closest to -13? (a) 14.7 (b) -0.12 (c) 56 b Which is the nearest to -5? (a) 1/20 (b) -2/55 (c) -264 b Which is the nearest to 0? (a) 4/3 (b) -23 (c) -7 (d) -10 (e) 0 e What is the closest to 0 in -22036159/4, -0.4, 2? -0.4 Which is the nearest to 7? (a) 1 (b) 0.2 (c) -2788 a What is the closest to 1 in 4358625, -0.3, 2? 2 What is the nearest to 1/254 in -19, 992, -2/3, -2/13? -2/13 Which is the nearest to -0.02? (a) 1/57 (b) -0.06 (c) -15 (d) -0.4 (e) 1 (f) -6 a What is the closest to -2604 in -3, -0.5, 0.3, -428? -428 What is the nearest to 0.27 in -14, -1, 2.2, 0.5, -36, 0? 0.5 Which is the nearest to -6? (a) -2/3 (b) 391.3 (c) -0.3 (d) 39 a Which is the closest to -0.3? (a) 386 (b) 4 (c) 747 b Which is the closest to 9? (a) 68 (b) -80 (c) 0.2 (d) 0.5 (e) -4 d What is the nearest to 3/10 in 2/5, 458, -29, -10? 2/5 What is the nearest to 37 in 1/28, -49, -27? 1/28 Which is the closest to -1? (a) -4 (b) -4/7 (c) 0.3 (d) 26.4 (e) 0.1 (f) 5 b What is the nearest to 19.9 in 2/5, 4, 1, 21, -5? 21 Which is the nearest to 5? (a) 1.464 (b) 126 (c) 4 c Which is the nearest to 16? (a) 16 (b) -14 (c) 2 (d) 36 a Which is the closest to 0? (a) 13 (b) -5 (c) 0.4 (d) 3/4 (e) 1424 (f) -4 c Which is the closest to 2/7? (a) -8/7 (b) -0.0007 (c) -3 (d) 1/5 (e) 29 d What is the nearest to -3 in 6, -0.1, 0.4, -1.52? -1.52 Which is the closest to 0? (a
{ "pile_set_name": "DM Mathematics" }
y = -3*f, -3*f + a = -2*d - 5 for d. 3 Suppose 2*v + 4*v - 150 = 0. Solve -2*m + c - v = 3*m, m + 4*c = -5 for m. -5 Suppose 5*v - 65 + 20 = 0. Let y = 3 + -3. Suppose -4*b = -y*b - 8. Solve -b*n + s = -0 - 3, -5*n + v = -s for n. 2 Let o = -4 - -8. Solve o*w = 3*d - 5*d - 18, w - 8 = 2*d for w. -2 Let n = -17 - -17. Solve -v = n, 4*b - 4*v = 3*b + 5 for b. 5 Let v(z) be the third derivative of -z**4/24 + 11*z**3/6 - 6*z**2. Let q be v(7). Solve -f = -4*u - 20, 0 = -5*u - q*f - f - 25 for u. -5 Suppose -3*b - 3*k = b - 93, -3*b + 5*k + 48 = 0. Solve 9 = -3*h + i, 3*i + b = -h - 2*h for h. -4 Let g = 3 + 2. Let a(n) = 5*n - 1. Let u be a(4). Solve 2*f - g*f - u = 2*x, -18 = 3*x + f for x. -5 Let m(y) = -7*y - 13. Let u be m(-9). Suppose 5*r + n + u = -n, -4*r = -3*n + 17. Let t = r - -11. Solve x + 9 = 8*d - 3*d, t*x + 12 = 0 for d. 1 Suppose 5*t = 3*t. Let y be -2 + t + 15 + 3. Solve 2*x = 3*z - 5*z, -5*x - z + y = 0 for x. 4 Suppose 2*s - 1 - 1 = 0. Let z be (-6)/(-9)*3*s. Let x = 21 + -17. Solve -3*l + 5*q + 13 = -1, -20 = z*l + x*q for l. -2 Suppose l + 5 - 4 = 0. Let u be (-3 - l - -1) + 4. Solve u*g - 5*g = 4*s, 5*s - 5*g + 15 = 0 for s. -1 Suppose -25 = -5*c, -9 = -m + c + 4. Let f = -2 + m. Solve -w + 3*v - f = -2*v, 3*v = -3*w + 24 for w. 4 Suppose 0 = 2*l - 2*n + 2 + 4, -5*l = 3*n - 25. Suppose 5*c - 2*c + 2*x - l = 0, 4*c - 5*x - 18 = 0. Solve -5*s + 10*s - 5*m = -20, c*m = 4*s + 14 for s. -3 Let n(v) = -2*v + 5. Let y be n(8). Let x(q) = -q**2 - 12*q - 7. Let w be x(y). Solve -2*t + s + 2 = w, -19 = t - 5*s for t. 1 Let j be 40/30*(-6)/(-4). Solve 2*h + 2*l - 7 = -1, j*l = 3*h + 11 for h. -1 Let y be (-70)/4*8/(-10). Suppose 2*s - y = -4*l + 18, -4*s = -3*l - 64. Let h(n) = -n**3 + 2*n - 1. Let d be h(-2). Solve -5 = -a, -d*j - 3*a + s = 2*a for j. -3 Let l(w) = -w**3 + 6*w**2 + 2*w - 6. Let c be l(6). Let z = -4 + c. Let r be ((-9)/15)/(z/(-10)). Solve -v + 1 = -4*j + 17, -2*v = r*j - 23 for v. 4 Suppose 3*i + i = 0. Solve -2*z + 5*z = 4*h + 17, -z - 1 = i for h. -5 Let t(m) = m**3 - 2*m**2 + 3*m - 1. Suppose -c = 4 - 0. Let v be 1/((6/(-3))/c). Let o be t(v). Solve -i - 2*u = i - 2, o*u = -2*i + 5 for i. 0 Let i(n) = n**2 - 4. Let f be i(3). Solve -1 + 3 = 4*m - f*h, 3*h - 12 = -2*m for m. 3 Let s(i) = 6*i + 1 - 5*i**3 - 4*i + 0. Let u be s(-1). Solve -4*f - u*v = 28, 2*f + 4*v + 5 = 5*v for f. -4 Let t = 0 + 2. Let f be t + (-1 + -1 - -2). Suppose -y + 4 + f = 0. Solve -2*x - 10 = -y*k + k, -2*x - 2*k = -18 for x. 5 Let a = -4 - -8. Suppose 4 + 8 = a*w. Suppose c + w*c = 0. Solve -k = k + 3*n - 5, -2*k - 4*n + 10 = c for k. -5 Let h(s) = 4*s + 29. Let l be h(-6). Solve -4*g + l*b + 22 = 0, 4*g - 8 = 2*b + 8 for g. 3 Let u = 6 + -1. Let t = -2 + u. Solve -7 = t*k + 2, 3*g = -2*k for g. 2 Suppose -4*q = -3*z - 1, 2*q - 2 - 21 = -3*z. Solve i = 2*l - 6, 10*i - z*i + 12 = 4*l for l. 3 Let h = 82 + -80. Solve 4*r + 32 = 4*f, h*f + 0*r + 3*r - 1 = 0 for f. 5 Suppose -12*p + 5*p + 91 = 0. Solve c - 5*o = 19, -p = 2*c - c + 3*o for c. -1 Let w be 1 + -3 + -6*1. Let u = w - -12. Solve -u*t = -4*x - 2*t + 6, 0 = 5*x - t for x. -1 Suppose 5*m = -5 + 25. Solve 8 = n - l, 5*l + 24 = m for n. 4 Let z(d) = -d**3 + 2*d**2 - 3*d + 6. Let w be z(2). Solve w*g + g = -4*r - 2, -6 = 3*g - 3*r for g. -2 Let m(i) = -i**2 - 2*i + 8. Let g be m(-4). Solve g*u + 2*u + 4 = -2*n, 0 = -4*u + 4*n + 32 for u. 3 Let h = -4 + 6. Solve 2 = 2*y - h*v, 2*v + 3 = 5*y + 1 for y. 0 Let b(o) = o**3 + 5*o**2 - o - 1. Let t be b(-5). Suppose t*m + m = 0. Suppose -44 = -m*i - 4*i. Solve -3*f - f = 2*z - 4, -3*f + 2*z - i = 0 for f. -1 Suppose -2*z - 10 = -r - 1, -2*r + 5*z = -21. Suppose r*x = 6 + 6. Solve -j + x = 2*t, 0*j - 1 = -3*t - 4*j for t. 3 Let l = -3 + 6. Let r(t) = t**2 - 4. Let g be r(l). Solve m - 5*d = 9, 3*d - 5*d - g = m for m. -1 Let f(w) = w**2 - 17*w + 61. Let y be f(12). Solve 3*m - y = 3*r - 7, 22 = -4*r - 2*m for r. -3 Suppose -2*i + 4*i + 28 = 4*b, 0 = -4*b + i + 26. Let a = b + -5. Let h be a*-5*(-8)/20. Solve -5*f + 2 + 3 = h*l, 4*l + 23 = f for f. 3 Let w = 27 + -24. Solve -8*k - w*h + 23 = -3*k, 4*h - 4 = 0 for k. 4 Suppose 5*o + 1 = 16. Suppose -2*l = -o*w + 4, 0*l + 4 = w + 2*l. Solve -2*y + w*s + 16 = 0, -4*y + 7 = -s + 2*s for y. 3 Let t = -83 - -99. Solve -4*s = 4*j - t, -4*j + j + 3*s = -6 for j. 3 Let m be (6/(-9))/(4/(-24)). Let p be (-2)/(-3) + (-40)/(-3). Solve 2*i - 10 = -5*h, 5*h = i + p - m for h. 2 Suppose p + 3 = 2. Let s be p/3 - (-5)/(-3). Let v be 15 - (3 + 1*s). Solve v = -y - 4*d, 3*d = 3*y + 4*d - 2 for y. 2 Let f(q) = -q + 13. Let j be f(10). Suppose -d - j*w - 1 = -11, 0 = 2*d - 4*w. Solve a = 4*b - 0*b + 9, 6 = -5*b - d*a for b. -2 Suppose 5 = -2*x - x - 2*u, 5*x - 5*u = -50. Let c(b) = -b - 3. Let l be c(x). Solve 28 = 4*n + 4*r, l*n - 19 = n - 4*r for n. 3 Let r(m) = -6*m - 1. Let v be r(-1). Solve -4*c + 24 = 2*a, -3*a + v = 3*c - 16 for a. 2 Let t(g) = g**3 + 8*g**2 - 2*g - 8. Let z be t(-8). Solve 4*f - 9 = 5*u + 8, 0 = 4*f + z for u. -5 Let g be ((-15)/(-4))/((-15)/(-20)). Solve -5*q + 25 = g*s, 5*s - s = q + 15 for q. 1 Let w be (-40)/(-12)*6/5. Let k = -26 + 69. Suppose -4*a + k + 5 = 0. Solve w*i - a = -0*d + 2*d, -i = 5*d + 8 for i. 2 Let x be (-2)/(-7) - (-2 - (-38)/(-14)). Solve 4*f - 5*m = 4 + x, 0 = 5*m + 25 for f. -4 Let j(v) = v**2 - 19*v - 15. Let p be j(20). Let k(o) = o + 25. Let c be k(0). Solve -3*n + 1 = -4*h - 15, p*h + c = 5*n for n. 4 Suppose 2*i + 0*j - 2*j - 14 = 0, -2*i = -4*j - 20. Solve p + i = -p - 2*y, -2*y = 3*p + 8 for p. -4 Let h = 9 - 9. Solve -2*u - 13 = -4*r - 5, -3*u = h for r. 2 Suppose 0 = -0*t + 2*t - 18. Suppose -t = 2*q + h + 4*h, -2*q - 4*h = 6. Let n be 6*((-15)/(-6) + -2). Solve 3*g - q = -5*v, -g + n*v + 4 = 3 for g. 1 Let n(o) = o**3 + o - 7. Let u be n(2). Let h = -1 + 1. Solve t + u*f + 9 = 3, -4*f - 12 = h for t. 3 Let v(i) = -i**2 - 5*i + 10. Let m be v(-5). Suppose 2*y + 0*y - m = 0. Solve 4*u - 14 = -y*a, -2*u - a = -3*a + 2 for u. 1 Let t(c) be the second derivative of -c**4/12 + 7*c**3/6 + 4*c**2 + 2*c. Let w be t(6). Let l be 90/21 - 4/w. Solve -l*p = 2*x + 6, p - 3*x = -3*p - 1 for p. -1 Let a(m) be the first derivative of -m**4/4 - 2*m**3 - 3*m**2 + 7. Let d be a(-5). Solve -2*t + d*t + 10 = -b, -4*t + 2*b = 0 for t. -2 Let t be 65/(-6) - (-3)/(-18). Let p = -6 - t. Solve -p*s = -l + 18, 5*l + 14 + 0 = -s for l. -2 Suppose 23 = 5*f - 5*r + 3*r, 0 = f - 2*r - 3. Let p = -3 + 5. Let u be (-1)/(-3) + 64/6. Solve -2*w - p + 13 = -3*c, -4*w - f*c - u = 0 for w. 1 Suppose -u + 18 = -0*u. Let s(v) = 7*v + 67. Let o be s(-9). Solve o*g - k = -3, -u = 4*g + 3*k - k for g. -2 Let f be (-45)/75 + 3/5. Solve -u + q - 1 = f, 5*u = -q + 4*q - 13 for u. -5 Let k(b) = 10*b + 5. Let j(z) = -z**2 - 50*z - 26. Let g(i) = 2*j(i) + 11*k(i). Let w be g(5). Solve -3*f = 2*u - 16, 2*f = -w*f + 20 for u. 2 Suppose 0 = 2*o + 1 - 7. Solve -n + o*n + 5*v - 21 = 0, 27 = 5*n + 4*v for n. 3 Let z(a) = a**2 - 7*a + 7. Let y be z(6). Let d be (-1)/((-4)/(128/y)). Solve 0*v = v + 2*m - 2, -5*v = -4*m + d for v. -4 Suppose -4*z = -z. Solve -q + 3*m - 6 = z, m + 2 = -3*q - 6 for q. -3 Let h be (-1 - -1) + -1 - -16. Let k(p) = 2*p**2 + p - 11. Let v be k(-3). Solve 5*w = h, 3 = -3*o - 0*w - v*w for o. -5 Let u(m) = 3*m + 2. Suppose -2*p - 6 = 2*a, 4*a + 9 = 6*a - p. Let i be u(a). Solve -5*j - 5*g = -0*g - 20, 0 = 4*g - i for j. 2 Let j = 26 + -24. Solve -2*i = -2*v, 0*v = v - j*i for v. 0 Suppose -2*g + 60 = -3*c, 5*c - g + 2*g = -87. Let i be -1 + (-2)/4*c. Solve 4*d + 0 = -2*w + i, 5*d = -5*w + 10 for d. 2 Let p be 5/(-3)*-3 - 1. Solve -5*w = y + 29, 0*y + y = p*w + 16 for y. -4 Suppose -3*u + 10*a - 3 = 5*a, 0 = 3*u + 4*a - 24. Let q = 7 - u. Solve 0 = 2*r + q*k - 4 - 2, -20 = 4*r - 2*k for r. -3 Let m(q) = q**2 - 3*q - 2. Let k be m(4). Solve 2*b - 3*s - 21 = 0, -2*b - 4 = k*s - 0*s for b. 3 Let h be 1086/39 - (-8)/52. Suppose -33 = -4*m + 5*p, 0*m + 4*m + 7 = -3*p. Solve 3*k - h = -m*k - d, -4*k - d = -23 for k. 5 Suppose i + 34 = -4*a, 4*a = 2 - 22. Let x be 5/(3 + 40/i). Solve 5*k + 3*q + x = 5*q, -5*k + 4*q = 45 for k. -5 Let o be ((-2)/(-3))/(6/36). Let d(n) = n - 1. Let b be d(0). Let v = b + o. Solve 2*u = -2*j - v + 5, -5*j = u + 11 for j. -3 Let a = 39 + -19. Let f be (-4 + 0/(-2
{ "pile_set_name": "DM Mathematics" }
ng order. w, b, x Suppose i + 6 = -2*i. Let l = 0.9 - 0.91. Let u = l - -0.01. Put i, u, 4 in descending order. 4, u, i Let c be (1*(-5)/(-75))/(38/(-475)). Let o = 3.4 + 0.6. Let z = o + -3.8. Sort z, c, -1 in increasing order. -1, c, z Let g be ((-3)/(-4)*1)/((-14)/112). Put g, -3, 1 in ascending order. g, -3, 1 Let t = 0 + -3. Let x(n) = -8*n + 132. Let v be x(16). Sort t, v, -1/7 in descending order. v, -1/7, t Let m be (-4*11/396)/(1/2). Sort m, 3, 94 in ascending order. m, 3, 94 Let o(t) = -t - 2. Let z be o(-5). Let b(s) = -s**2 - 8*s + 4. Let c be b(-7). Let r = 151.7 + -147.7. Put z, c, r in descending order. c, r, z Let m be ((-5)/3)/(27/(-2187)). Put m, 0, 5 in decreasing order. m, 5, 0 Suppose 0 = -m + 3 - 5. Let j(a) = -a. Let w be j(m). Let r = -39 - -38. Sort w, -4, r in decreasing order. w, r, -4 Let n = 3.31 - 0.31. Let k = 1.4 - 0.8. Let d = 0.9 - k. Sort -2, n, d in ascending order. -2, d, n Let j = -3 - -1. Let w be (-9)/(-24) - 2 - j. Let u be (0 - -1)*-1 + -3 - (-798)/171. Put w, 0.2, u in descending order. u, w, 0.2 Let j = -48 + 84. Let n = -27 + j. Put n, 0, 2 in decreasing order. n, 2, 0 Let b be 2 - 4 - 18/(-3). Let c(g) = -g**2 - 6*g - 4. Let y be c(-5). Let t = 40 - 40. Sort b, y, t in descending order. b, y, t Let y = 85 - 82. Sort -15, -1, -5, y in increasing order. -15, -5, -1, y Let g = -127 - -126.9. Put -2/3, -6/5, 2/5, g in descending order. 2/5, g, -2/3, -6/5 Let t be (-42)/(-28)*(-12)/18. Sort t, 5, 0, -5 in increasing order. -5, t, 0, 5 Let p = -14 + 12. Let f(c) = 3*c**2 - 44*c + 22. Let b be f(14). Let r = 3 + -1. Put p, r, b in increasing order. b, p, r Let o = -0.42 + 0.62. Sort -3, o, 8, -2/9 in decreasing order. 8, o, -2/9, -3 Suppose -16*c - 91 = 69. Put 1, c, 0.3 in decreasing order. 1, 0.3, c Let v be 9/6*(-6 - (-11 + -3)). Put v, -3, 5, 2 in decreasing order. v, 5, 2, -3 Let w be (-166)/(-8) - 5/(-20). Suppose 3*x - w + 7 = 2*a, -a = -5*x + 21. Let f(p) = p**2 - 7*p - 5. Let q be f(8). Sort a, 1, q. a, 1, q Let n = -121 + 121.51. Let v = n + -0.01. Sort v, -5, -2/15 in ascending order. -5, -2/15, v Let a be ((-2)/15)/(12/(-30)). Sort a, -2/3, -1 in increasing order. -1, -2/3, a Let l = 13 + -11. Suppose p - 18 = 3*u, 73 = l*p + 3*p + 2*u. Suppose -5*c = -0*c + p. Sort c, -0.5, 3 in decreasing order. 3, -0.5, c Let k(y) = y**3 + y**2 - y + 3. Let d be k(-4). Let h = d - -42. Put -28, 5, h in increasing order. -28, h, 5 Let a = 0.04 - -0.56. Let u = 833 - 832.7. Sort a, u, -4 in increasing order. -4, u, a Suppose -270 = 5*g - 335. Sort 0.5, g, -3 in ascending order. -3, 0.5, g Let n = 123 - 122. Suppose o = 4*o - 15. Sort n, o, -1/3, 3/7 in decreasing order. o, n, 3/7, -1/3 Let n = 7 + -7. Let m be 138/33 - (4 + n). Sort m, 5, 1/3, -3 in ascending order. -3, m, 1/3, 5 Let w = -46/27 - -10055/5886. Let z = 325/436 + w. Let a(d) = d**2 + 6*d - 5. Let h be a(-7). Sort z, 3/5, h in descending order. h, z, 3/5 Let c = -1043 + 1046. Sort c, 5, -1, -91 in descending order. 5, c, -1, -91 Let i = 99 + -99.146. Let q = -0.046 - i. Put 0.5, -2/5, q in descending order. 0.5, q, -2/5 Let o be 1/2*(-3 - -1). Suppose 4*r + 3 = -1. Let l be 9/(3 - 0) - r. Put o, -4, l in decreasing order. l, o, -4 Let h = 31/20 + -9/5. Let f = 6.182 - 0.182. Let j = 1.04 - -0.96. Sort f, j, h in descending order. f, j, h Let p be 0*(-3)/15 - -67. Let k = -62 + p. Sort 3, k, 4, 0 in ascending order. 0, 3, 4, k Suppose 6 = -s + 7. Let c be -4 + (3 - (s + 2)). Sort c, 0, -10 in ascending order. -10, c, 0 Suppose 173*b - 185*b + 108 = 0. Sort -4, -3, b, 2 in decreasing order. b, 2, -3, -4 Let g = -18.88 + -0.12. Let p = g - -23. Put -4, 0.02, p in decreasing order. p, 0.02, -4 Let t be ((-1)/(-1))/(15/(-45)). Let i(q) = -q**3 + 4*q - 5. Let w be i(-4). Put w, t, -1 in decreasing order. w, -1, t Let f = 0.09 - 0.59. Let l = -42 + 72. Let q = l - 30.2. Sort q, f, 0.2 in descending order. 0.2, q, f Let l = -964.6 - -966. Let v = -0.2 + 0.2. Put v, l, -4/3 in increasing order. -4/3, v, l Let v = -25 - -26. Sort v, -1, 4 in descending order. 4, v, -1 Suppose -5*h = 5*y - 4 + 14, 0 = -3*y - 4*h - 7. Sort -3, y, -34 in ascending order. -34, -3, y Suppose 3*d - 2*s - 9 = 0, -5*d + 0*d - 4 = 3*s. Let i be 22/(-4)*(-272)/3740. Let g = -0.3 - -0.1. Put d, g, i in ascending order. g, i, d Let y = 4.73 - 4.33. Sort -15, -4, y. -15, -4, y Let r = 223 + -664/3. Sort 1/8, r, 1/2, -2 in increasing order. -2, 1/8, 1/2, r Let r(x) = -3*x - 3. Let p(m) = m + 1. Let o(u) = -8*p(u) - 3*r(u). Let s be o(-4). Let c(b) = -b**2 + 3*b - 1. Let g be c(4). Sort 3, s, g in decreasing order. 3, s, g Suppose -2*v = 4*o + 364, 200 = -3*o - 3*v - 73. Let f = -83 - o. Let j(h) = h**3 - 2*h**2 - 2*h + 2. Let m be j(2). Sort 2, f, m in descending order. f, 2, m Let b = 0.084 - 0.114. Put 3/7, -0.4, b, 5 in descending order. 5, 3/7, b, -0.4 Let w(n) = -7*n - 26. Let d be 15/(-4) - (-11 - -5)/(-24). Let x be w(d). Let u = 13 + -8. Sort 4, x, u. x, 4, u Let j = 5 - 10. Let a = -33 - -51. Let b = 18 - a. Put j, 3, b in descending order. 3, b, j Let y = 2 + 5. Suppose -c + 6 - y = 0. Sort 4, c, -4 in decreasing order. 4, c, -4 Let o be 4/(-1 - 35/(-25)). Let a be o/15*-3 - -1. Sort a, -5, 0 in ascending order. -5, a, 0 Let a = 85 + -130. Let c = a + 47. Sort -0.3, -2/17, c, 0 in descending order. c, 0, -2/17, -0.3 Let p(x) = 105*x - 842. Let o be p(8). Let r(v) = v**2 - 4*v. Let c be r(5). Sort o, 4, c. o, 4, c Let v be (-22)/8 + 6/8. Suppose 11*l - 5*l = 18. Let j be 4/12*-2 - 10/l. Sort j, 4, v in ascending order. j, v, 4 Let k = 0.041 - 0.061. Put -0.3, 0, k, 0.5 in descending order. 0.5, 0, k, -0.3 Let i = -121 - -123. Let o = -3.093 - 0.007. Let l = o - -0.1. Sort l, 2/9, i in decreasing order. i, 2/9, l Let z be (-34)/51*(-3)/2. Sort -1, -5, -2, z in increasing order. -5, -2, -1, z Let a = -78775939/142796493 + -1345/78159. Let s = -581/16 + 454955/12528. Let g = a - s. Sort g, -1/7, -3 in decreasing order. -1/7, g, -3 Let q = 2 - 9. Suppose 11*g - 53 = -31. Put 3, g, q in decreasing order. 3, g, q Let q(x) = -x**3 - 5*x**2 + x + 6. Let o be q(-5). Let r be ((-4)/(-6))/((-12)/90). Let u be (-5)/25 - 1/r. Sort u, 2, o. u, o, 2 Let r = -0.5 - -0.3. Let k(t) = -t**2 - 8*t + 10. Let n be k(1). Sort r, n, 2/7 in ascending order. r, 2/7, n Let d = -68 - -61.4. Let u = 2.6 + d. Sort 0.5, u, 2/3. u, 0.5, 2/3 Let r be (-1)/(-11) + 20/22. Sort 7, 6, r in decreasing order. 7, 6, r Let b = -78.6 + 77.6. Sort -3/4, 1/5, b, 30 in ascending order. b, -3/4, 1/5, 30 Let v = 901 - 908. Sort 6, 2, v in descending order. 6, 2, v Let v be (4 + (5892/(-1470) - 0))*1. Sort 2, -1, v in decreasing order. 2, v, -1 Let r(j) be the second derivative of 5*j**4/6 - j**2/2 + j. Let g be r(1). Let v be (-8)/10 + (-27)/(-15). Put g, 3, v in increasing order. v, 3, g Suppose 4*n = -5*i - 0 + 5, -n - 1 = -i. Suppose -4*q - 4*g + 17 - 5 = 0, 2*q = 2*g + 6. Sort -3, q, n in decreasing order. q, n, -3 Suppose 7 = 23*l - 16. Put -58, -3, l in descending order. l, -3, -58 Let b be 1/(-5) + 130/25. Let j be 4/(-1)*(-7)/(-28)*0. Put 4, -4, j, b in decreasing order. b, 4, j, -4 Let c = 0.825 - 1.265. Put -2, -3, -0.3, c in increasing order. -3, -2, c, -0.3 Let k(x) = x**3 - 7*x**2 - 9*x + 66. Let u be k(7). Suppose -h = -2, -3*g - h = -0*h + 7. Sort 6, g, u, 4. g, u, 4, 6 Let k(v) = -7*v**2 - 3*v + 1. Let z be k(-2). Let x = 23 + z. Sort 3, -2, 4, x in ascending order. -2, x, 3, 4 Suppose i = 3*i - 34. Suppose -z = 5*q - i, 0*q - 3*z - 13 = -q. Sort q, 1, -5 in increasing order. -5, 1, q Suppose 3*c + 14 + 7 = 0. Suppose 0 = -3*w - 4*f + 9, 2*w + 20*f - 18*f - 6 = 0. Put -1, 0, c, w in ascending order. c, -1, 0, w Let u(m) = 10*m**2 + 14*m - 1. Let f(g) = -9*g**2 - 13*g + 1. Let j(i) = 4*f(i) + 3*u(i). Let o be j(-2). Sort -2, 0, o in descending order. 0, -2, o Let z = 7 + -2. Let k(l) = l**2 - 8*l + 12. Let d be k(z). Sort -5, 0, d, 9 in decreasing order. 9, 0, d, -5 Suppose -2*p + 3 = 1. Let v be (p - 0)/(1/2). Let u(s) = -s**2 + 125*s + 929. Let w be u(-7). Put w, v, 3 in decreasing order. w, 3, v Let q be 3 + (-1 - (-36)/(-16)). Let s be 22/55 + (-78)/(-5). Suppose -4*a - 10 = 5*d + s, a + 3*d + 10 = 0. Put a, 0.3, q in descending order. 0.3, q, a Let t = 176 - 182. Sort 4, -1, t, -3. t, -3, -1, 4 Let
{ "pile_set_name": "DM Mathematics" }
. sqrt(11)/6 Simplify (-2*(sqrt(1377) + -1))**2 + 5*(1 + sqrt(1377)). -27*sqrt(17) + 5517 Simplify (-1*sqrt(720) + -4)**2 - (3 + (0 + sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(720))**2. -2153 - 48*sqrt(5) Simplify -6*(sqrt(171) + 1)**2. -1032 - 36*sqrt(19) Simplify (((sqrt(21) - (sqrt(3024) + -1*sqrt(3024) + sqrt(21))) + sqrt(21))/(sqrt(378)/sqrt(6)))**2. 1/3 Simplify sqrt(80)/(sqrt(490)*-1). -2*sqrt(2)/7 Simplify ((5*(sqrt(104) - -2*sqrt(104) - sqrt(104)))/(-4*sqrt(288)))**2. 325/144 Simplify 5*2*(sqrt(13) + sqrt(13) + 2). 20 + 20*sqrt(13) Simplify (6*((sqrt(48) - sqrt(48)*-1) + sqrt(48)))**2 + 3. 15555 Simplify (-1 + sqrt(13) + -5 + sqrt(13) + sqrt(624)/sqrt(3))**2. -72*sqrt(13) + 504 Simplify -5*(sqrt(52) + -4). -10*sqrt(13) + 20 Simplify sqrt(1331)*-2 - sqrt(1331) - sqrt(539)*-3. -12*sqrt(11) Simplify -4 + 2 + sqrt(1584)*2. -2 + 24*sqrt(11) Simplify ((sqrt(49)*2 - sqrt(49))*-3)/(sqrt(84)/(sqrt(12)*1)). -3*sqrt(7) Simplify (1*((sqrt(110) - (sqrt(110)*-3 + sqrt(110))) + sqrt(110)) - sqrt(110))/(sqrt(10) + 1*sqrt(160)). 3*sqrt(11)/5 Simplify 3*(sqrt(11) + sqrt(44) + 5 - sqrt(11))**2. 60*sqrt(11) + 207 Simplify 4*(sqrt(684) + sqrt(684) + 1 + 1)**2. 192*sqrt(19) + 10960 Simplify -3 + sqrt(891) + -5 + 5. -3 + 9*sqrt(11) Simplify (sqrt(80) + 0 - sqrt(80))**2*-2. 0 Simplify 5*(sqrt(143)/sqrt(11) + sqrt(13)) - (sqrt(1573) + -2)**2. -1577 + 54*sqrt(13) Simplify -2 + (sqrt(275) + -1 - sqrt(275)). -3 Simplify (5 + sqrt(45) + 2)**2 + sqrt(180) + 2. 96 + 48*sqrt(5) Simplify (sqrt(450))**2 + (1 + sqrt(242))**2. 22*sqrt(2) + 693 Simplify (3 + -3*sqrt(19)*3 + -5)**2. 36*sqrt(19) + 1543 Simplify (sqrt(931) + 3*-1*sqrt(931))*5. -70*sqrt(19) Simplify -1*((sqrt(1575))**2 + sqrt(7)). -1575 - sqrt(7) Simplify sqrt(3564)*-2. -36*sqrt(11) Simplify ((sqrt(132)*1*-6)/(-1*sqrt(972)))**2. 44/9 Simplify (((1*sqrt(750) - sqrt(750)) + sqrt(750) + sqrt(750))/(sqrt(50)/sqrt(5)*6))**2. 25/3 Simplify 2*(sqrt(76)*1 - sqrt(76)). 0 Simplify 5*(1 + (sqrt(2) + -3 - sqrt(2))**2*-2). -85 Simplify (sqrt(7)*1*4)**2 - (sqrt(7) + sqrt(28) + -1). -3*sqrt(7) + 113 Simplify ((-4 + -3 + sqrt(637))*6)**2. -3528*sqrt(13) + 24696 Simplify sqrt(65)/(5*sqrt(10)/sqrt(2)). sqrt(13)/5 Simplify 4 + sqrt(95)/sqrt(5) + -4. sqrt(19) Simplify sqrt(720) + (sqrt(5) - (2 + sqrt(245))). -2 + 6*sqrt(5) Simplify (sqrt(6776)*1 - sqrt(56))/(2*sqrt(72)). 5*sqrt(7)/3 Simplify (4*sqrt(832))**2 - sqrt(1872)*-1. 12*sqrt(13) + 13312 Simplify ((sqrt(13) + sqrt(1053) + 1)*5*4)**2. 8000*sqrt(13) + 520400 Simplify (((-3*sqrt(931) - sqrt(931)) + sqrt(931))*3)**2. 75411 Simplify (((sqrt(153)*-1 + sqrt(153))*1)/(1*sqrt(9)*5))**2. 0 Simplify sqrt(468) + -4 + (sqrt(13)*5*5 - sqrt(13)). -4 + 30*sqrt(13) Simplify ((6*sqrt(156)*2)/((sqrt(108)*2)/sqrt(9))*6)**2. 16848 Simplify -2*(sqrt(88) + -4*(sqrt(88) - -2*sqrt(88)) + sqrt(88))/(3*sqrt(72)). 20*sqrt(11)/9 Simplify 5*5*(-2*sqrt(15)*4)/sqrt(5). -200*sqrt(3) Simplify ((-3*sqrt(88)/sqrt(8) - sqrt(11))*-4)**2. 2816 Simplify ((0 + sqrt(50))*5)**2. 1250 Simplify -2 + sqrt(5)*2*2 + 0 + sqrt(80) + 0. -2 + 8*sqrt(5) Simplify sqrt(204)/(sqrt(1200)*-2 + sqrt(1200)). -sqrt(17)/10 Simplify (-2*-4*sqrt(70))/sqrt(10). 8*sqrt(7) Simplify (2 + sqrt(13))*-1 + -4*(sqrt(208))**2 + -3. -837 - sqrt(13) Simplify 4*(sqrt(252) + -1 - sqrt(7) - sqrt(7))**2 + 5. -32*sqrt(7) + 457 Simplify sqrt(133)/(sqrt(112) + sqrt(112) + -3*sqrt(112) - sqrt(112)). -sqrt(19)/8 Simplify 5 + sqrt(15)/(-3*sqrt(432) - sqrt(432)). -sqrt(5)/48 + 5 Simplify (-2*sqrt(2916))/sqrt(12). -18*sqrt(3) Simplify (sqrt(45)*-4)/sqrt(9) - (sqrt(20) + sqrt(120)/sqrt(6))/sqrt(4). -6*sqrt(5) Simplify (-3*sqrt(2) - sqrt(2)) + sqrt(2) + 3 + -5. -3*sqrt(2) - 2 Simplify sqrt(364)/(1*sqrt(567) - sqrt(7)). sqrt(13)/4 Simplify 4*sqrt(80) + 5. 5 + 16*sqrt(5) Simplify ((sqrt(140)/(sqrt(10) + sqrt(90)))/(sqrt(8) - sqrt(72)))**2. 7/256 Simplify (sqrt(1377) + 2 - sqrt(17)) + sqrt(17)*-2 + 5. 7 + 6*sqrt(17) Simplify (sqrt(39)/((sqrt(3) + sqrt(3)*2 + sqrt(3))*4))**2 + 5. 1293/256 Simplify (2 + sqrt(3) + sqrt(3))**2 + -1 + (sqrt(6)/sqrt(2) + -1)**2. 6*sqrt(3) + 19 Simplify (sqrt(420)/sqrt(7)*-6)/sqrt(12). -6*sqrt(5) Simplify (-1 + (1*sqrt(5) - sqrt(5)) - sqrt(50)/sqrt(250))**2. 2*sqrt(5)/5 + 6/5 Simplify sqrt(190)/(2*sqrt(250)) + ((sqrt(684)*-2 + sqrt(684))**2 - (-1 + sqrt(171) - sqrt(171))). sqrt(19)/10 + 685 Simplify (sqrt(18) - (3 + sqrt(72))) + ((sqrt(1152)*-2)**2 - sqrt(1152)). -27*sqrt(2) + 4605 Simplify 4 + -3*((sqrt(245) + 1)**2 + -3). -725 - 42*sqrt(5) Simplify (sqrt(7) + 0)*-3*3 + 4*(sqrt(7) + (sqrt(112))**2 + sqrt(7) + -4). -sqrt(7) + 432 Simplify ((4*sqrt(117)*-2)/(sqrt(9) - (sqrt(9) - 2*-2*sqrt(9))))**2. 52 Simplify (sqrt(640) + -2*sqrt(640))/(sqrt(8) + (sqrt(72)*2 - sqrt(8)) + sqrt(8)). -4*sqrt(5)/7 Simplify -2 + sqrt(24)/sqrt(8) + sqrt(363)*2. -2 + 23*sqrt(3) Simplify ((sqrt(171) + -2*sqrt(171))/sqrt(9) + (sqrt(76) + ((-3 + sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76)))**2)*4. -100*sqrt(19) + 1252 Simplify (1 + sqrt(11))*-3 + (sqrt(11) - (2 + sqrt(1331))**2). -1338 - 46*sqrt(11) Simplify (-1*sqrt(63))/sqrt(9) + -2 + -3*sqrt(7). -4*sqrt(7) - 2 Simplify sqrt(121)/(sqrt(44)/sqrt(4)) + 4. sqrt(11) + 4 Simplify ((sqrt(364)*1)/sqrt(7) + sqrt(52))/(sqrt(400)*2) + 3. sqrt(13)/10 + 3 Simplify sqrt(11) + (sqrt(99) + 0)**2 - sqrt(891)*2 - sqrt(99)/((1*sqrt(108))/sqrt(12)). -18*sqrt(11) + 99 Simplify 5 + (sqrt(9)/sqrt(27) + (sqrt(363)*2 - sqrt(363))**2)*4. 4*sqrt(3)/3 + 1457 Simplify (-4*(sqrt(176) + -3))**2. -384*sqrt(11) + 2960 Simplify 1*(-4 + -2 + sqrt(176)). -6 + 4*sqrt(11) Simplify -1*(-3 + sqrt(275) + 4)**2. -276 - 10*sqrt(11) Simplify (-2 + sqrt(432) + -5)**2. -168*sqrt(3) + 481 Simplify 3 + -5 + (sqrt(612) - (-2 + sqrt(612)))**2. 2 Simplify (4*(sqrt(1300) - (sqrt(1300) + sqrt(1300) + 0)) + 3 + -2*sqrt(1300))**2. -360*sqrt(13) + 46809 Simplify (-2*(-1 + sqrt(847)))**2. -88*sqrt(7) + 3392 Simplify (sqrt(891) + -1*(-1*sqrt(891) - sqrt(891)) + -2)**2. -108*sqrt(11) + 8023 Simplify -4 + (sqrt(22)/sqrt(396) + (sqrt(2)*2 - sqrt(2)) + -5)**2. -35*sqrt(2)/3 + 427/18 Simplify -2 + 1 + (sqrt(11) + sqrt(11)*2)**2*6. 593 Simplify -5*(sqrt(26)/sqrt(2) + -4 - (sqrt(13) + -1)*-2). -15*sqrt(13) + 30 Simplify ((sqrt(228)*-2 + sqrt(228))/sqrt(4))/(sqrt(72)/sqrt(6)). -sqrt(19)/2 Simplify sqrt(57)/sqrt(3) + 0 + 4. 4 + sqrt(19) Simplify (sqrt(16) - -2*sqrt(16) - sqrt(16))/sqrt(8) - 1*(1 + sqrt(2)). -1 + sqrt(2) Simplify (1*sqrt(304) - (sqrt(76) - (0 + sqrt(76) + sqrt(76))))**2. 684 Simplify (sqrt(78) + 2*sqrt(78)*5 + sqrt(78))/(sqrt(150)*-2). -6*sqrt(13)/5 Simplify ((sqrt(3500) - (sqrt(3500) + sqrt(3500)*-1))/(3*1*sqrt(7)))**2. 500/9 Simplify (sqrt(153))**2*-5 + sqrt(272) + -1. -766 + 4*sqrt(17) Simplify (sqrt(33)/sqrt(3)*5 - (-4 + sqrt(33)/sqrt(3))) + 1. 5 + 4*sqrt(11) Simplify (6*-2*sqrt(33) - sqrt(33))/(-4*sqrt(22)/sqrt(2) - sqrt(11)). 13*sqrt(3)/5 Simplify sqrt(117) + (sqrt(117)*-2 - sqrt(117) - sqrt(117)) + -1 + -4. -9*sqrt(13) - 5 Simplify 2 + sqrt(176) + 1 + sqrt(176) + ((sqrt(110) + -2*sqrt(110))*-1 - sqrt(110))/sqrt(10). 3 + 8*sqrt(11) Simplify sqrt(5) + (sqrt(20) - (sqrt(20) + -4)) + (sqrt(405)*6)**2. sqrt(5) + 14584 Simplify (sqrt(2736) + 0 - sqrt(2736))**2*-1 + ((sqrt(228)*2)/sqrt(12) - (sqrt(931) + -1)). -5*sqrt(19) + 1 Simplify ((3 + 2*sqrt(7))**2 + sqrt(7))*-3. -111 - 39*sqrt(7) Simplify ((sqrt(128) - (sqrt(128)*2 + sqrt(128)))*-3 + sqrt(128) + -5*(-2 + sqrt(128) + sqrt(128)))**2. -480*sqrt(2) + 1252 Simplify -4 + 0 + (-2*sqrt(52)/sqrt(4))**2. 48 Simplify sqrt(2) + sqrt(200) + 0 + sqrt(200) + 1. 1 + 21*sqrt(2) Simplify ((sqrt(42) + sqrt(168))*1)/(sqrt(216)*2). sqrt(7)/4 Simplify (sqrt(84) + (sqrt(84) - (-2*-1*sqrt(84) - sqrt(84))))/(3*1*sqrt(12)). sqrt(7)/3 Simplify 1 + (sqrt(343) - (4*sqrt(343))**2)*-1. -7*sqrt(7) + 5489 Simplify 1 + 4 + (sqrt(4)/sqrt(2) - sqrt(2)) + sqrt(2) + -2. sqrt(2) + 3 Simplify ((5*sqrt(54))/(sqrt(96)/sqrt(3) - sqrt(2)))**2. 75 Simplify ((sqrt(153) - sqrt(153)*2)*-2)/(2*sqrt(9)*-3). -sqrt(17)/3 Simplify ((sqrt(171) + sqrt(171)*1 + sqrt(171) + sqrt(171))/sqrt(9) - (1*sqrt(190))/sqrt(10))**2 + 5. 176 Simplify 3 + -1*-1*sqrt(468). 3 + 6*sqrt(13) Simplify 3*((sqrt(2299) - 2*sqrt(2299)) + 5 + sqrt(76)). -27*sqrt(19) + 15 Simplify sqrt(55)/(-4*sqrt(275)). -sqrt(5)/20 Simplify (6*2*sqrt(112))**2. 16128 Simplify (sqrt(9
{ "pile_set_name": "DM Mathematics" }
be (-6)/(-10) + h/100. Solve 0 = 2*r - 2 - i for r. 2 Suppose 4*b = 2*d + 3080, 27*b + 2310 = 30*b - 5*d. Solve -b = 2*z - 780 for z. 5 Let x(h) = 3*h. Suppose 7*w + 2*w = 0. Let b be x(w). Suppose 0 = -0*g - 4*g - b*g. Solve u + 0*u - 4 = g for u. 4 Suppose -3*u = -j + 4, 0 = 2*j - 2*u - 5 + 1. Let z(s) = s**2 - 4*s - 8. Let k be -1*(-3)/((-21)/14). Let q be z(k). Solve -5*m - j - q = 0 for m. -1 Suppose -6*u = 188 + 1744. Let q = -319 - u. Let c(y) = y**2 - 4*y + 5. Let l be c(6). Solve -q = -5*s + l for s. 4 Let v be 294/(-1323) - 58/(-18). Solve 0 = -v*q + 4*q - 2 for q. 2 Let r be ((-12)/(-2))/((3/(-25))/((-102)/170)). Solve r = -598*b + 592*b for b. -5 Suppose -22*t + 55 = -715. Solve 16*y - 45 = t for y. 5 Let m(i) = -14*i**2 + 40*i - 15. Let c be m(8). Let r = c + 607. Solve 0 = -r*s - 5 - 59 for s. -4 Let r be 36/10 + 6/(-10). Suppose -2*o - o + 10 - 10 = 0. Solve o = a - r*a for a. 0 Let j(v) = v**2 - 9*v + 8. Let x be j(8). Suppose 8*h - 7*h + 72 = x. Let g = -53 - h. Solve -4*i - g + 3 = 0 for i. -4 Let v(w) = w**2 + w - 11. Let l be v(0). Suppose 561*y = 555*y - 42. Let b = y - l. Solve -s = -b*s + 15 for s. 5 Let a be 35/(-70) + 150/4. Solve 0 = 9*d - 8 - a for d. 5 Let v(f) = 13*f**3 - 45*f**2 - 29*f + 10. Let g be v(4). Solve 116 = g*c + 122 for c. -1 Let h = 8492 + -8452. Solve 515*u - h = 523*u for u. -5 Suppose -17*r + 37*r = 30360. Solve -1515*u + r*u + 18 = 0 for u. -6 Let n = 211 - 199. Suppose 10*f = 4*c + 9*f - 23, -n = 4*f. Solve 0 = -4*h - c*h - 45 for h. -5 Let x be (84/(-24))/((-1)/2). Let m be -2*x/((-14)/3). Solve 2*t = -m*t + 5 for t. 1 Let h be (-82)/(-28) - (-14)/196. Suppose -3*d = h*v - 9, 3*v - 11 = -d - 2. Solve -v*l - 6 = 3 for l. -3 Suppose 5*u + 3*b + 3 = 0, -2*u + b = -0 - 1. Let m = 331 - 336. Let h be (468/65)/(-12) - 23/m. Solve -h*o - o = u for o. 0 Suppose 0 = -4*p - 22*l + 14*l + 160, p = l + 22. Solve d = p*d - 54 for d. 2 Let x be (-12)/42 + 135/7. Suppose 9*d = x + 8. Solve 2*n + 5 = d for n. -1 Let w = -466 - -482. Solve 0 = -25*o + 21*o - w for o. -4 Let g = -129 - -135. Let a be ((-2)/g)/(5/(-75)). Let n(d) = -d**3 + 3*d**2 + d. Let t be n(3). Solve 0 = t*c - a*c for c. 0 Suppose f + 911 = 4*m, -3*f - f + 20 = 0. Let l = m - 221. Solve 7*v = 3*v - l for v. -2 Let w be 3 + -3 + (1 - (-1)/(-1)). Let d be 3 - (1 + 0) - w. Solve 0 = -p + d for p. 2 Let c be (70/4 + 0)*(-120)/(-210). Suppose -46 = -c*t - 26. Solve -z - t*z - 5*z = 0 for z. 0 Suppose l = -9*h + 8*h - 149, -6 = 2*h. Let n = l - -174. Solve 2 = 10*y - n for y. 3 Let f = -26 + 74. Suppose f = 10*n + 18. Solve -n*u + u = 2 for u. -1 Suppose 4*g - 195 - 21 = -4*c, 3*c - 104 = -2*g. Suppose l = 5*n + 2*l - g, 0 = -4*l + 12. Let u(d) = 216*d - 861. Let k be u(4). Solve -2*a - k = -n for a. 4 Let g be (14 - 35) + 26 + 7*1. Solve -68*y - g = -56*y for y. -1 Let d(m) = 10 - 13*m + 16*m - 15. Let g be d(3). Solve 4*u - g = -0*u for u. 1 Suppose -9*t + 9 + 45 = 0. Let f(i) = 8*i - 80. Let y be f(10). Solve y = t*j - 3*j - 6 for j. 2 Let p(g) = -g**2 + 4*g + 13. Let z be p(6). Suppose 0 = -3*i + z + 14. Suppose 77 = 2*d + i*d. Solve -d*b - 1 = -10*b for b. -1 Suppose k - 2*s = -1, -1 = 3*k - 4*s - 0*s. Suppose -k + 1 = 5*f. Suppose f = w - 3*w + 12. Solve -3*g - w = -5*g for g. 3 Suppose 24*t = 25*t + 4*f + 18, 4*t + 4*f = -36. Let g be 0/20*((-8)/t)/4. Solve g = v - 0*v + 3 for v. -3 Let q be (22 - 17) + 8/(-4). Let k be -3 + -1 + (-1)/(q/(-60)). Let z be (-6)/(0/(-1) + -1). Solve -2*l + z*l = k for l. 4 Suppose -4*g = -3*g - 2. Let t(z) = 8*z - z + g*z + 10 - 10*z. Let w be t(7). Solve w*s = 4*s - 4 for s. 4 Let u(n) = -8*n - 44. Let q be u(-6). Suppose -15*k = 3 - 3. Solve k*l = 2*l + q for l. -2 Let c = -13035 + 13057. Solve 52 = c*s + 74 for s. -1 Suppose 2*x + 52 = 4*n, 58*n + 44 = 62*n - 4*x. Solve n = -33*a + 30*a for a. -5 Suppose 0 = -2*o + 4*s + 4, 0 = -o + 5*s + 2 - 0. Let z be 2 - (-1)/(-1 - (0 - o)). Suppose -n - 4 = z*n - 3*b, -6 = -n - b. Solve -n*f = -f - 2 for f. 2 Let y(f) be the first derivative of f**4/24 + 5*f**3/3 + 18*f**2 - 31. Let d(v) be the second derivative of y(v). Let z be d(-8). Solve h + 3 = z*h for h. 3 Suppose -9*q - 6 = -11*q. Suppose 4*n - 12 = -2*y, -q*n = n - 8. Suppose -11 - 22 = -11*a. Solve a*s + y = -10 for s. -4 Let r(z) = -z**2 + 3*z + 1. Let g be r(2). Suppose -9*d + g*d + 18 = 0. Suppose 3*o + d*y = 21, 8*o - 19 = 3*o + 3*y. Solve x = o*x for x. 0 Let j = -49 - -41. Let s be -2*6/j*(4 - -6). Let x = s + -6. Solve -2*c + 1 = x for c. -4 Let m(t) = 2*t**2. Let r(u) = -3*u**3 + 9*u**2 - 6*u + 2. Let c(v) = -2*m(v) - r(v). Let q be c(4). Solve -q*h + 23 - 29 = 0 for h. -1 Suppose -230*h + 5109 = -70*h - 90411. Solve 2*x + 591 = h for x. 3 Let h = 985 + -675. Suppose 110 = -20*c + h. Let a = 29 - 14. Solve 7*d + a = c*d for d. 5 Let l(n) = 2*n. Let m be l(1). Let r(i) = i**2 - 8*i + 3. Let z be r(0). Solve z*t = 2*t + m for t. 2 Suppose 21 + 39 = 2*a + 4*j, 32 = 2*a - 3*j. Suppose 5*u - a = u + t, 0 = -2*u + t + 10. Solve -4*y - 10 - u = 0 for y. -4 Let z(k) = -k**3 - 22*k**2 - 55*k + 48. Let y be z(-19). Solve -5*j + 0 - y = 0 for j. -2 Let j = 2154 + -2146. Solve j*m - 71 + 15 = 0 for m. 7 Suppose 0 = 119*g - 8666 + 574. Solve z + 66 - g = 0 for z. 2 Let p be ((-550)/8)/(-11*21/924). Solve -3*c + p = 281 for c. -2 Suppose -14 - 151 = -5*v. Let t = v - 28. Suppose -4*y - 16 = 0, -t*u = 5*y + 3 + 7. Solve 2*h = h + u for h. 2 Let y(m) = -m**3 - 3*m**2 + 7*m + 21. Let a be y(-4). Solve 210*d - a = 201*d for d. 1 Let p be -7 + 116 + (0 - -3). Let x = p - 108. Solve 9 - x = a for a. 5 Let k(v) = -3*v - 6. Let u be 4/6*(-294)/(-28). Let l(y) = -5*y - 13. Let j(p) = u*k(p) - 3*l(p). Let w be j(-1). Solve 0 + w = 3*q for q. 1 Suppose 5*s + d - 7 = 0, -2032*s - 5*d = -2033*s - 35. Solve s = -3*t + t + 4 for t. 2 Let l = 2 - 0. Suppose t + 414 = -0*t + 5*k, -t - 442 = 2*k. Let z = -424 - t. Solve -l*o + 0 = -z for o. 5 Let w(p) = 3*p - 15. Let n be w(5). Suppose z - 7*x + 8 = -2*x, -3*z + 4*x - 2 = n. Suppose 25 = 3*k + 4*c, 0 = 4*k - z*k - c - 2. Solve -k*g + 20 = 2*g for g. 4 Let h(d) = d + 63. Let s(n) = -n - 32. Let b(c) = -3*h(c) - 5*s(c). Let j be b(16). Suppose a = 4*a - 15. Solve -j + a = i for i. 2 Let w = -302 - -302. Let m(v) = 44*v + 4. Let c be m(w). Solve -c*g - 3 - 13 = 0 for g. -4 Suppose -4*o - 43*n + 12 = -46*n, 3*o + n - 9 = 0. Solve z + 16 = -o*z for z. -4 Suppose 83*x - 74*x = 0. Suppose 4*m + x*m + 5*i = 25, i + 13 = m. Solve 0 = m*y - 12*y + 2 for y. 1 Suppose 6*m - 4*m = l - 255, 3*m = 4*l - 995. Let u = 251 - l. Solve u = -4*s - 6 for s. -3 Suppose -40*j + 248*j = 811 + 1893. Solve j*l - 21*l = 48 for l. -6 Let i = -18783 - -18830. Solve -i*m - 448 = 9*m for m. -8 Suppose 5 = -2*a + 7*a, 0 = -s + 5*a + 20. Solve 52*f - s*f = 31*f for f. 0 Let x = -6 + 16. Suppose 0 = -6*t + 2*t. Suppose 0 = -t*g - 0*g + 5*g. Solve g = -3*f + f - x for f. -5 Let i(o) = 8*o**2 - 27*o - 30. Let s(m) = -m**2 + 1. Let z(d) = -i(d) - 6*s(d). Let p be z(14). Solve -7*f = -2*f + p for f. -2 Let k(g) = -g**2 + 9*g + 12. Let b be k(10). Let u(q) = -228 - q + 243 - b*q. Let f be u(5). Solve 5*l - 3*l = f for l. 0 Let m be (0/(-1))/(-5)*13/91. Solve m = -12*o + 6*o for o. 0 Suppose 11*d - 18 - 59 = 0. Suppose -d*r - 14 = -28. Solve 8*j - r = 10*j for j. -1 Suppose 4*v - 5 = x + 3, 2*v - 28 = 2*x. Let u = 21 + x. Let c = u + -1. Solve 3*k - c = 4*k for k. -4 Let w = -2809 - -2828. Solve 0 = -12*n + 5 + w for n. 2 Suppose -10*q + 196 = 5*q - 614. Solve -32*f = -q*f - 132 for f. -6 Let a = 204 + -210. Let m be (-1)/2*((-8)/(-4) + a). Solve -m*f - 12 = f for f. -4 Let q(x) = x**3 + 9*x**2 - 5*x - 33. Let u be q(-9). Let j be 5*(u/(-10) - -3). Let g be 1/2*(1 - 1). Solve -3*z + j = -g for z. 3 Let b be 1760/30 + 8/6. Solve b*g + 366 = -g for g. -6 Let a be (2/(-4))/(2/(-16)). Suppose -475*f - 4*w - 87 = -480*f, -4*w - 54 = -2*f. Solve 3*x + f = -a for x. -5 Let m(q) = -2*q**3 - 9*q**2 + 5*q + 5. Let y be m(-5). Suppose -y = -5*t + 5*o, 4*t = -0*o - 3*o - 3. Let z = 8 + t. Solve 0 = z*p - 3*p + 5 for p. -1 Let d(q) = 8*q**3 - 2*q**2 + 22*q - 37. Let s be d(2). Solve -8*h = -23 + s for h. -5 Suppose 0 = 2*h - 4*s - 2556 + 2422, 0 = -h + s + 61. Solve 133*n + h = 122*n for n. -5 Let f = -7669 + 7774. Solve -14*w - w
{ "pile_set_name": "DM Mathematics" }
, -17 + 47 = 3*g + 4*m. Suppose 0 = 10*l - g*l - 8, 3*c = 5*l - 1. Solve 2*f - 11 = 5*q - 39, 5*f = c*q - 32 for q. 4 Let j(s) = -s**3 + 5*s**2 + s - 3. Suppose -n + 3*n + a - 5 = 0, 4*a = 2*n - 30. Let x be j(n). Solve 0 = -3*z - 15, -3*c - z = x - 0 for c. 1 Let j(r) = 2*r**2 + 3*r - 17. Let c be j(8). Let a = c + -133. Solve t = 5*q - 14, 0*q + a*q = 5*t + 24 for t. -4 Let c = -241 - -246. Suppose -8 = -c*i + 7. Solve i*t + 2 = 2*l, 0 = -3*t + 4*l + 6 + 2 for t. -4 Suppose -2*x - 289 = -3*w - 283, -2*x + 14 = 2*w. Solve o + g = -4 - 3, w*o - g = -18 for o. -5 Suppose -l + 26 = -194*m + 191*m, -3*l + 5*m + 50 = 0. Solve 5*p + 3 = -l*r + 8, -3*p - 21 = -3*r for r. 4 Suppose -413*u + 2 = -412*u. Solve -g - u = -n, 3*n + 9 = 7*n - 3*g for n. 3 Let o = -4 - -9. Let g = -22 + 27. Suppose g*c - 13 = 7, 0 = -5*x + 5*c - 10. Solve p + 2 = x*u - p, 0 = -o*u - 4*p - 4 for u. 0 Let v(c) = -c**3 - 24*c**2 - 92*c + 82. Let k be v(-19). Solve 5*r - 9*t + 5*t = 25, -3*t = -5*r + k for r. 5 Let j be ((-1660)/(-14))/5*(-2 - -9). Suppose j*w - 168*w + 16 = 0. Let a be -2 + (-2 - -2) - -6. Solve -w = 2*m, -3*o - 7 = -m + a for o. -5 Let a = -8 - -13. Let r(q) be the first derivative of 2*q**2 + 73*q - 65. Let h be r(-18). Solve a*g + 0*c + 9 = -4*c, -3*g - h = -2*c for g. -1 Suppose 23*m = 6*m - 2*m + 228. Solve -b - m = 3*j, 2*j - 4*b = -2*j for j. -3 Let i(g) = -2*g - 9. Let t be i(-5). Suppose -2 = 28*k + 103*k - 2. Solve u + 2*f = -7, k = -f - 3 - t for u. 1 Let k be (-2)/15 + 42926/195. Let p be ((-20)/(-12))/((k/(-24))/(-11)). Solve -3*f - 2*x = 10, 2*x - 9 = p*f + 1 for f. -4 Let u(v) = 7*v**2 - 122*v + 165. Let p be u(16). Solve -153*x - b = -149*x + 12, 2*x + p*b + 24 = 0 for x. -2 Suppose 0 = -2*y + 3*y - 13. Let d(s) = 0 + 10*s - 33 + 8. Let l be d(3). Solve -5*b = -a + y, 2*b - l*b - 3*a - 15 = 0 for b. -3 Let a(i) = 2*i - 10. Let v be a(7). Suppose -q = v*q. Suppose 2*t + 4*t = 6. Solve 5*r + 2*n - 16 = q, -21 - t = -5*r - 4*n for r. 2 Suppose -38*y = -13*y + 23*y - 144. Solve -6*b + 11*b = -3*u + 26, -4*u - y*b + 20 = 0 for u. 2 Let q = 140 - 138. Suppose 27 = 3*g - 5*p, -q*g - 3*g + 32 = -4*p. Solve c - 5*k = 19, g*c - 3*k + 7*k = 4 for c. 4 Let c(m) = m**3 - 9*m**2 + 11*m - 8. Let x = -24 - -36. Suppose -6*y - x = -60. Let b be c(y). Solve -4*j + b = 0, -2*j + 5*j = n + 10 for n. 2 Suppose 3*f - 4*f + 4*p = -19, -4*p - 22 = -2*f. Solve f*g - 6 = 0, 0 = 2*q - 0*q + 4*g for q. -4 Suppose l = -4*j - 6, 14 - 55 = -4*l - 3*j. Suppose 15 - 127 = -2*z. Suppose l*u - z = -0*u. Solve 0 = -u*d + k - 2*k - 1, 2*d - 12 = 2*k for d. 1 Let m(h) = -525*h - 4723. Let f be m(-9). Solve -w = -f*b - 7, 11*w - 3*b = 12*w + 8 for w. 1 Let a(v) = -v**3 + 5*v**2 + 12*v - 33. Let y = -194 - -200. Let w be a(y). Solve w*h = -3*d + 18, 4*h - d = -4*d + 21 for h. 3 Suppose -18 = -7*d + 17. Let x = 5 + 0. Suppose 0 = 2*m + x*f - 3, 3*f = -d*m + 6*f + 23. Solve 0 = -m*h - 3*k + 7 - 3, 0 = -3*h + k + 16 for h. 4 Let m(d) = 9*d**2 - 9*d - 15. Let n be m(-3). Let a = -93 + n. Solve a = 3*g + 15, -y - 5*g - 23 = -0*y for y. 2 Suppose 2 = 4*q + 58. Let g be -2 - (-2 + -2) - q. Suppose -6*z = -2*z - g. Solve -i - i - o = 0, z*i + 12 = o for i. -2 Suppose 0 = 15*f - 732 - 528. Let w = -83 + f. Solve 2*p + 2*j = 2, 0*j = j - w for p. 0 Let a = 484 + -482. Solve 5*m = 3*o + 19, 2*o - 16 + 2 = -a*m for m. 5 Suppose 3*c = 11 - 5. Let a be 11/c*168/154. Solve 0 = -x + 5*w - 2, -3*x + 6*w = w + a for x. -2 Let s = 242 - 224. Suppose -s = 10*x - 38. Solve -q + 3*q = 5*g - 5, -3 = x*q - 3*g for q. 0 Let o be 1 + 0 - 7/14*-22. Let i = o + -7. Solve -i*w - 3*h - 7 = 0, -8 = w - 5*h - 29 for w. 1 Suppose -2*g + 2*r = -14, -g - 124*r = -128*r + 2. Solve 2*v = -3*j - 25, -j - 2*j = -5*v - g for j. -5 Let q be ((-8)/(-28))/(32/112). Suppose -5*h - 4*u = -24, -u - q + 10 = 2*h. Let d = 20 - 11. Solve -5*x + d = -y, x = 3*x - h for y. 1 Let w(n) = -n**3 + 6*n**2 + 108*n - 461. Let p be w(4). Suppose 0 = -y - 3*y + 44. Let d = -6 + y. Solve p*a - 5 = 2*k, 0 = -a - 4*a + d for k. -1 Suppose 0 = -u - 0*u + 2. Suppose 0 = 172*x - 644 + 344 - 560. Solve -5*r = 6*b - u*b - 25, 0 = -r - 4*b + x for r. 5 Let l be (-25)/(-20)*-4 - -40. Suppose -l*u = -2*t - 37*u + 18, 39 = 4*t + 5*u. Solve 3 = -d + 5*y + 5, -3*d + y = -t for d. 2 Let x(h) = -h**3 + 12*h**2 - 12*h - 135. Let q be x(9). Solve q = -k - 8*w + 3*w - 1, -5*k + 5*w + 25 = 0 for k. 4 Let r = 291 - 291. Let l = -135 - -139. Solve 0 = -s + l*k + 10, 5*k = -s - r*k - 8 for s. 2 Let q(d) = -5*d**2 - 15*d + 4. Suppose -4*c - 8 = -2*v, 4*c + 2*v + 11 + 5 = 0. Let y be q(c). Solve 3*b + y*a = -23, -5*b = -0*a - a for b. -1 Suppose -52*f + 6 = -55*f, f + 14 = 4*j. Solve 2*h + 18 = -2*r, -j*h + 159 - 178 = r for h. -5 Suppose -114*p + 128 + 192 = -74*p. Solve -5*z + 15 = 5*s, 13 = -z + p*s - 5*s for z. -1 Let c(n) = 8*n + 120. Let o be c(-15). Suppose o = 3*q + 3*q - 24. Solve -v = q*v + x - 24, 0 = -5*v + 5*x for v. 4 Suppose -7*s = -60 + 39. Solve x = -5*f - x + 23, -s*x + 27 = 5*f for f. 3 Let x be -1 + (65/20 - 12/(-16)). Solve 19 = 3*i + 16*t - 21*t, 5*t + 31 = -x*i for i. -2 Suppose 441*n + 292 = 799 + 375. Solve -4*g = 5*c + 13, 2*c + 87 = -n*g + 83 for c. -5 Suppose 4*n - 19 = -4*a - 171, -a - 3*n = 30. Let x = a + 24. Let p be x/(-6) - (0 - 2). Solve -p*o - d + 2 - 4 = 0, 3*d = -2*o - 6 for o. 0 Let x(o) = o**2 + 7*o + 12. Let a be x(-3). Solve 4*w + 4*s = 8*w + 4, a = w + 5*s - 17 for w. 2 Suppose 5*l = -u + 9, l - 3*u + 8*u = -27. Solve 5*v + x + 14 = 0, l*v - 5*x - 11 = 3 for v. -2 Suppose -73*c + 151*c - 390 = 0. Solve m = c*o + 30, m = -2*o - m - 12 for o. -6 Let y(q) = q - 4. Suppose -35 = 3*s - 101. Let f be 4/s + 960/165. Let p be y(f). Solve -3*n - 4*u - 8 = 0, 5*n - p*u - 45 = 3*u for n. 4 Let s(y) = 672*y + 4056. Let p be s(-6). Solve 0 = 3*g - 0*r - 4*r + p, 0 = 3*g + 5*r - 30 for g. 0 Let l be (-12)/18*(1308/8 + 0). Let j = l - -131. Solve 2*u - 4*u = 4*c + 2, c - 4*u = j for c. 2 Let u(q) = -5*q + 35. Let b be u(6). Suppose 11 = b*v - 19. Solve -2*h - 5*y = 0, 3*h + 2*y = h + v for h. 5 Let v = -59 - -63. Let c = 486 - 484. Solve v = -c*l, l = n + 2*l for n. 2 Let c = -3697 - -3705. Solve -4*f + 16 = 5*u - 20, -c = -4*u + 2*f for u. 4 Let v be -11 - 30/(-10) - 2*-5. Solve -16 = 2*n - 0*n - 3*t, 2 = -5*n - v*t for n. -2 Let a(v) = -13*v + 681. Let c be a(49). Let j = 98 + -82. Solve -4*h - 19 = 3*x, c = -5*x - 3*h + j for x. -5 Let p(a) = -8*a + 454. Let n be p(56). Solve -2*b = -0*o - 4*o - n, 4*o = 3*b - 5 for o. -2 Suppose -2316 = -491*d + 1121. Solve v = -t + 3, 4*v + d = -2*t + 13 for t. 3 Let h(o) = o**3 - 24*o**2 + 143*o + 21. Let t be h(12). Solve -t = 3*y, 220*x + y + 7 = 218*x for x. -2 Let d = 82 + -70. Let j be 2/3 + 16/d. Suppose -r - j*k + 10 = 3*k, 2*r - 5*k = -10. Solve -4*x + 11 = -5*q - 5, r = 5*q - x + 4 for q. 0 Let g = -109 + 121. Suppose 4*k - 4*x = -k + g, -x = -4*k + 14. Solve -5*m + 20 = -s, 2*m - k*m - 15 = -5*s for s. 5 Let k be 6*(3 + 6/4). Suppose k = 3*b + l, -2*b = 4*l - 5*l - 23. Solve p = -p - 5*o - 6, b = 4*p - o for p. 2 Let b(z) = z**2 - 5*z - 1. Let m be b(6). Let k = 35698 + -35682. Let r = -5 + 8. Solve m*j - r*v + k = -0*v, 3 = -v for j. -5 Suppose -2*o = 3*o + 35. Let u(n) = 2*n**2 + 16*n + 17. Let r be u(o). Suppose -x - 56 = -r*a - 12, x + 2 = 0. Solve -4 = 4*w - 2*w - 3*p, -5*p = 4*w - a for w. 1 Suppose -12 = -10*z + 8. Suppose -z*s + 38 + 34 = 0. Suppose -q = 2*y + 3, 3*q - 7*q + s = -4*y. Solve 4*r = 3*t, -q*r + 0 + 3 = -3*t for r. 3 Let i be ((1 + (-2)/4)/((-43)/(-1032)))/4. Solve -12 = -5*r + i*a - 4, 2 = r - a for r. 1 Suppose 52*x - 87 = 55*x + 4*a, -4*x + 2*a = 94. Let r be -4*x/(-20)*-7. Solve 0 = 5*p + 2*h + r, 5*h - 3*h = 4*p + 10 for p. -5 Suppose 17*k - 24*k = -7. Suppose 9 = z + 7. Solve 0 = -z*w - v + k, -7 + 4 = 4*w + 3*v for w. 3 Let q(m) = 27*m + 762. Let x be q(-28). Solve x*h - u = 7*h, 0 = 4*h - 5*u - 45 for h. 5 Let y be ((-182)/(-39))/(2/(-6)). Let u be y*(4/14)/(-1). Suppose 3*n + 1 = 10. Solve 2*q + 8 = -n*c + 19, -3*q = -u*c - 8 for c. 1 Suppose 0 = 7*x + 138 - 215. Solve -4*b = o - 3, 8*o - x*o - 5 = 5*b for o. -5 Let b(g) = -13*g**2 + 80*g - 9. Let t be (-35)/(-6) - 8/(-48). Let k be b(t). Solve -20 = 3*v + 5*q, -q = -k*v - 5*q - 19 for v. -5 Let l(v) = 13*
{ "pile_set_name": "DM Mathematics" }
, -n + 51 = 2*v - 0*n. Suppose -3*c = -205 - v. List the prime factors of c. 7, 11 Let l(k) = k**2 + 4*k + 7. Let i be l(-2). Suppose -5*j = 2*m + m, -3*m = -3*j. Suppose -3*s + 4*r + r = -99, m = i*s + r - 81. What are the prime factors of s? 2, 7 Let i = -28 - -22. Let t(g) = -7*g - 1. What are the prime factors of t(i)? 41 Suppose -3*y + 6*y = 21. Let i(s) = 2*s**2 - s + 1. Let w be i(y). List the prime factors of -5*1/((-20)/w). 23 Let s(l) = -3*l**2 - 2 - 2*l + 3*l + 5*l**2. Let z = -15 + 11. What are the prime factors of s(z)? 2, 13 Let k(c) = 3*c - 2. Let y be k(2). What are the prime factors of (-2)/(5/((-10)/y))*125? 5 Let o(i) = 17*i**2 + 93*i - 21. List the prime factors of o(-13). 31, 53 Let m(j) = -j**2 + 9*j - 6. Suppose 1 = 3*i - 17. What are the prime factors of m(i)? 2, 3 Let a be 4820/(-180) - (-4)/(-18). Let o = 44 + a. What are the prime factors of o? 17 Suppose 0*x = -5*x + 35. Suppose -5*w = -x*w + 12. Let z = 70 - w. List the prime factors of z. 2 Let k(g) = 2*g**2 + 6*g - 294. What are the prime factors of k(35)? 2, 7, 13 Let h = -259 + 696. What are the prime factors of h? 19, 23 Let t = -21 + 22. Let x be (-5 - t)*14/4. Let h = x + 48. What are the prime factors of h? 3 What are the prime factors of (2005/(-15))/(1/(-3)*1)? 401 Let j = 1657 - 534. What are the prime factors of j? 1123 Let w be 129/2*(-6)/9. Let y = w + 11. Let a = -11 - y. What are the prime factors of a? 3, 7 Let q = 1632 - 1001. What are the prime factors of q? 631 Let i(j) = 21*j - 4. Let b(h) = 20*h - 3. Let k = -22 - -15. Let l(g) = k*b(g) + 6*i(g). What are the prime factors of l(-2)? 5 What are the prime factors of (0 + 1)/2*902/11? 41 Let b(u) = 1137*u**2 + 28*u - 4. What are the prime factors of b(-2)? 2, 3, 11, 17 Let j be 279/15 - 6/10. Let p = j - -62. What are the prime factors of p? 2, 5 Suppose 105*r = 99*r + 132. Suppose -r = -5*t + 128. What are the prime factors of t? 2, 3, 5 Let y(z) = 17*z + 6. Suppose -3*d - 14 = -5. Let b be y(d). Let t = -13 - b. What are the prime factors of t? 2 Suppose 10 = 5*j - 5. Let q be 4/(-6) - (-47)/j. Suppose 3*w = 3, 0*o + 5*w = -2*o + q. What are the prime factors of o? 5 Let w(y) = -302*y + 43. What are the prime factors of w(-3)? 13, 73 Let u(j) = -j**2 - 23*j + 13. Let a = 14 + -32. List the prime factors of u(a). 103 Let c = 4 + 309. What are the prime factors of c? 313 Let b = 449 - 246. List the prime factors of b. 7, 29 What are the prime factors of ((-568)/10)/((-16)/40)? 2, 71 Let o = 262 - 115. What are the prime factors of o? 3, 7 Let n(t) = -t**2 - t + 5. Let j be n(-3). What are the prime factors of (19/(-3))/(j/3)? 19 Let l = -61 - -105. Suppose c + 2 = l. What are the prime factors of (3 + 3)/2 + c? 3, 5 Let k(m) = -m**2 + m + 5. Let j be k(0). Suppose 2*r - j*r = -222. What are the prime factors of r? 2, 37 Suppose -b - 5*w = -490 - 423, 4*w = 5*b - 4507. What are the prime factors of b? 3, 7, 43 Let l(u) = -u**2 + 0*u + 2 + u + 2. Let w be l(0). Suppose -5*k - 4*t + 173 = 0, 134 - 4 = w*k - t. What are the prime factors of k? 3, 11 Let u(p) = -p**3 + 14*p**2 - 12*p - 23. Let z be u(13). Let y(q) = q**2 + 28. List the prime factors of y(z). 2 Let r(y) be the first derivative of y**3/3 + y - 28. Let l = 5 - 2. List the prime factors of r(l). 2, 5 Let z(n) = -n**3 - n**2 - 4*n - 3. Let q(c) = -c**2. Let k(s) = q(s) + z(s). List the prime factors of k(-4). 3, 5 Suppose -7*s = -2135 + 749. What are the prime factors of s? 2, 3, 11 Let i = 28 - 28. Suppose i*p - 250 = -5*p. List the prime factors of p. 2, 5 Suppose 0 = 5*i - 3*x + 2*x - 1443, -3*x = -i + 283. Let t = -199 + i. Let j = -49 + t. List the prime factors of j. 41 Suppose -4*z = -4, -750 = -3*o + 3*z + 1491. List the prime factors of o. 2, 11, 17 List the prime factors of (-12972)/(-54) + (-3 - 75/(-27)). 2, 3, 5 Let v(p) = -p - 1. Let z(d) = d**2 - 18*d - 10. Let b(t) = -6*v(t) + z(t). Suppose -4*j = -4*x + 51 + 21, 0 = -4*x - j + 62. List the prime factors of b(x). 2, 3, 5 Let n be -3*4/3 + 10. Suppose -3*x - 66 = -g, -2*x + n = x. Suppose -g = 3*q - 6*q. List the prime factors of q. 2, 3 Let g(s) = s - 1. Let i be g(6). Suppose i*h - 185 = -4*j - j, 2*j = h + 86. List the prime factors of j. 41 Let n(b) = 6*b**3 - b**2 - b + 1. Let o be n(1). Suppose -o = -4*y + 11. Suppose -4*d + 3*d - 103 = -5*z, 4*z = y*d + 76. List the prime factors of z. 3, 7 Let x be 826/(-10) + (-27)/(-45). Let d = x + 145. Suppose 5*v - 114 = -3*s + d, -3*v + 5*s = -79. List the prime factors of v. 3, 11 Suppose -3*h = -4 - 5. Suppose 6*r + 3*w = 2*r + 266, -h*w + 334 = 5*r. List the prime factors of r. 2, 17 Suppose 0 = 3*m - 3*w - 1365, -4*w + 1768 = 3*m + 403. What are the prime factors of m? 5, 7, 13 Suppose -10*w = 78 - 248. Let x be (2 - 0)*(-30)/4. Let l = x + w. List the prime factors of l. 2 Suppose 0 = -2*x - 6*l + 11*l + 1880, 0 = 3*l. What are the prime factors of x? 2, 5, 47 Let d = 2 + -6. Let p be (-2 - d)*(-50)/(-4). Suppose p = 7*q - 6*q. What are the prime factors of q? 5 Let k be 298/6 + 6/18. Suppose 68 - k = h. What are the prime factors of h? 2, 3 Suppose 4*q + 5*p = 343, 0 = 4*q - q - 4*p - 234. List the prime factors of q. 2, 41 Let w(k) = -k**2 + 6*k - 5. Let n be w(4). Suppose r = n*r - 52. Suppose -80 = -2*h - r. What are the prime factors of h? 3 Suppose -2*c = 3*j - 472, 4*j - j - 464 = 2*c. Let k = j + -89. List the prime factors of k. 67 Suppose i + 1448 = 5*i. What are the prime factors of i? 2, 181 Suppose -1132 = 6*w - 6292. What are the prime factors of w? 2, 5, 43 Suppose 11*r - 10 = 9*r. Suppose r*y - 22 = 2*t + 15, 0 = 2*y - 2*t - 16. Suppose -y = -3*a + 5*g - g, 0 = -3*a - 3*g + 42. List the prime factors of a. 3 Let w(f) = 2*f**3 - 18*f**2 - 5*f - 16. List the prime factors of w(13). 31, 41 Let f = 10 + -6. Suppose 2*y + 110 = f*y. List the prime factors of y. 5, 11 Let d = 226 + 127. What are the prime factors of d? 353 Let t be (16 + -10)*(-1)/(-2). Suppose -t*o + 328 = o. List the prime factors of o. 2, 41 Let s = 18 - 35. Let z = s + 46. List the prime factors of z. 29 Let i = 33 - -109. List the prime factors of i. 2, 71 Let g be (9 - 3 - 6)/(0 - -1). Suppose -16*i + 13*i + 399 = g. List the prime factors of i. 7, 19 Suppose c - 5 = 0, 2*o - 3*o + 36 = 4*c. Suppose -k + 5*z = -5, -2*z - o = -k + 4. Suppose 0 = 5*n - 5*s - k, 2*n - 5*s - 16 = -1. List the prime factors of n. 5 Let m(v) = -11*v - 9 - 2*v**2 + 4*v**2 + v**2 - 8. List the prime factors of m(7). 53 What are the prime factors of (-2 - 15116/(-14)) + 84/294? 2, 7, 11 Suppose -603*h + 7056 = -597*h. List the prime factors of h. 2, 3, 7 Let k = 6 + -4. Suppose -5*q + 5 + 4 = 2*x, -4*x - 18 = -k*q. Suppose 3*o - 57 = y + q*y, y = 0. List the prime factors of o. 19 Let q = 0 - -6. Let x be (q - 9)*(-2)/6. Suppose -5*i - 3 = -a + x, -2*a = i - 8. List the prime factors of a. 2 Suppose -m = 16*b - 17*b - 2120, -3*m = -5*b - 6360. What are the prime factors of m? 2, 5, 53 List the prime factors of 225/10*(-32)/(-10). 2, 3 Suppose 16*u = 11776 + 20448. What are the prime factors of u? 2, 19, 53 Let d be 1/(-3) + ((-1)/(-3) - -3). Suppose -76 = -d*j - j. What are the prime factors of j? 19 Let c(r) = 2*r**3 - 3*r + 2. Let x be c(2). What are the prime factors of (3 + (-20)/x)/(4/534)? 2, 89 Suppose 5*q = 2*v - 5489, 0 = -3*v + 2*q + 4260 + 3979. What are the prime factors of v? 41, 67 Let w = -222 + -360. What are the prime factors of (112/(-21) + 6)*w/(-2)? 2, 97 Suppose -46 = n + 5*w, -2*n + w - 48 = -0*n. Let h = n + -18. Let x = -24 - h. What are the prime factors of x? 2, 5 Suppose -6*j = -5*w - 5*j + 35, -2*w + 5*j + 37 = 0. What are the prime factors of 335*8/14 - w/14? 191 Let l = -96 - -96. Suppose l = 5*s - 1150 + 310. What are the prime factors of s? 2, 3, 7 Suppose -t + 5 = 0, 3*t + 216 = -3*r + 1035. List the prime factors of r. 2, 67 List the prime factors of ((-2)/(-4))/(2/(-93220)*-5). 59, 79 List the prime factors of (-71822)/(-30) - 13/195. 2, 3, 7, 19 Suppose -3*x - d = -0*x - 254, -4*x + 357 = 5*d. Let q = 4 + x. What are the prime factors of q? 3, 29 Suppose 3*u = 3*j + 33, j + 0*u + u + 9 = 0. Let b(x) = x**2 + 11*x + 15. Let d be b(j). Suppose 50 = -3*z + d*z. What are the prime factors of z? 5 Let l be (15/9 - 1)*-3. Let i be
{ "pile_set_name": "DM Mathematics" }
= n**2 + 6*n + 1. Let z be ((-28)/84)/(3/81). Calculate i(z). 28 Let q(u) = 2*u + 12. Let o be (-66)/(-18)*-3 - -3. Determine q(o). -4 Let j(c) = 2*c + 5. Let o(u) = -15*u**3 - 2 - u + 3*u**2 + 14*u**3 + u. Let g be o(2). Suppose -6 = -3*r - 3*a, r = g*a + 3 + 8. Give j(r). 15 Let u = 6 - 4. Suppose -u*a = 3*a. Let t(v) = -67*v + a + 2 + 65*v. What is t(-2)? 6 Suppose -83*z + 87*z = 12. Let h(u) = 2*u + 2. Calculate h(z). 8 Let r(o) = o**3 - 6*o**2 - 12*o + 2. Let b be r(7). Let l = b + 30. Let d(w) = -6*w - 2. What is d(l)? 16 Suppose -169 - 67 = 4*y. Let a = 60 + y. Let o(z) = -z**2 + z + 1. Let v(d) = -7*d**2 + 7*d + 6. Let h(c) = -6*o(c) + v(c). Determine h(a). 0 Let m be 7/42 - (-46)/12. Suppose 3*c + 5*t + 0*t - 14 = 0, 0 = 4*t - m. Let o(u) = 138 + 2*u - 140 - 6*u + c*u. Calculate o(0). -2 Let c(n) be the first derivative of n**3/3 + n**2/2 - 70*n - 36. Determine c(8). 2 Let j be 2 - (-5 + 0 + 1). Let q(l) = -5 + l**2 - 2*l**2 + l + j*l. Suppose 19*o - 48 = 11*o. Determine q(o). 1 Let n be 2*((-30)/4)/3. Let m = 72 - 65. Let h(f) = 11 - 4 - 8*f - 5*f**2 + m*f - 11 - f**3. What is h(n)? 1 Let w(i) = 7*i - 4. Let j(x) = x - 2. Let c(h) = 4*j(h) - w(h). Determine c(-4). 8 Let m(p) = -p - 11. Let k be (26/(-65))/(2/40). What is m(k)? -3 Suppose 3 = -8*k + 43. Let q(h) = 5*h + k*h - 5*h - 6*h - 1. Determine q(0). -1 Let w(h) = 2*h**2 + h. Let x = -139 - -205. Let z = x + -68. Determine w(z). 6 Let c(q) = 3*q - 2. Let o(h) = -2*h + 1. Suppose -8*r - 6 - 26 = 0. Let s(d) = r*o(d) - 3*c(d). What is s(5)? -3 Let g(b) = 12*b + 13. Let n be g(-1). Let u(m) = -26*m. Calculate u(n). -26 Let x be -3*1*14/6. Let h(c) = -c - 4. Let v be h(x). Let r(j) = -v - 4*j**2 - 3*j**2 + 8*j**2. Give r(-3). 6 Suppose 0 = 6*f - 8 + 44. Let w = 6 - 3. Let o(l) = l**2 + 0*l + l + 1 + w*l + 3*l. What is o(f)? -5 Suppose -4*j + 4*p = -20, 2*p + 2*p + 10 = 2*j. Suppose -5*q - 16 = -q, -5*r = j*q + 170. Let d = r - -30. Let b(x) = x**3 + x**2 - x + 3. Give b(d). 3 Suppose 12*v - 24 = -0*v. Let m(q) = -5 + q**v + 3*q - 4*q + 2*q + 4 - 4*q**3. Give m(1). -3 Let s(i) = 9*i**2 + 7*i + 9. Let w(z) = -75*z**2 - 56*z - 72. Let k(x) = -17*s(x) - 2*w(x). Determine k(-4). -29 Suppose 2*k - d + 5 = 2*d, 15 = k + 2*d. Let q(c) = -2*c - 9. Calculate q(k). -19 Let c(t) = -t**3 + 6*t**2 + t - 1. Let p(w) = -w + 3. Let r be p(-5). Suppose -r*g + g = -21. Suppose -n + 3 = -g. Calculate c(n). 5 Let j be 5*(-12 + (-110)/(-10)). Let g(r) = -4 + 4*r**3 + 7 - 3*r**3 - 6*r + 4*r**2. Calculate g(j). 8 Let m(y) be the third derivative of y**6/120 - y**5/60 + y**4/24 - 2*y**3/3 - 33*y**2 - 1. What is m(3)? 17 Suppose -46*m + 2 = 278. Let l(p) = -4*p - 28. What is l(m)? -4 Let t(s) = s - 2. Let o be t(4). Let z be o + (2 + 1)/1. Suppose -z*b - 3 = 17. Let w(c) = -c**3 - 4*c**2 - 3*c - 6. Calculate w(b). 6 Let n = -241 - -259. Let y(w) = -2*w**2 + 37*w - 19. What is y(n)? -1 Let s(n) = n**3 + 6*n**2 + 6*n - 5. Let i be s(-5). Let l = 11 + i. Let w(k) = -l - k - 2*k + 3*k + 2*k. What is w(5)? 9 Let j(h) be the second derivative of h**3/6 - 19*h. Let c be j(5). Let s(l) = -l**3 + 4*l**2 + 7*l - 3. Determine s(c). 7 Let i(q) = 48*q**2 - 17*q + 104. Let j(h) = 17*h**2 - 6*h + 35. Let y(s) = -6*i(s) + 17*j(s). Calculate y(-5). -4 Let x(m) be the second derivative of -m**8/6720 - m**7/420 + m**5/120 + 5*m**4/3 - 6*m. Let f(r) be the third derivative of x(r). What is f(-6)? 1 Let y(u) = -3*u + 3. Let x be 7/(-2 + 0 + 3). Suppose -5*b - 4*t + 41 = -0*b, -4 = -4*b + 4*t. Suppose 5*a + 3*j - x = -0*j, b*j = -5. Determine y(a). -3 Let q(w) = -w**2 + 10*w + 27. Let f be q(12). Suppose -3*d + 6 = -f. Let r(t) = 4*t + 1. Give r(d). 13 Let c(d) be the third derivative of d**5/15 + d**4/24 + d**2. Suppose 2*w + 4*o + 12 = -0, -4*o - 12 = 3*w. Suppose w = -2*h - 7 + 9. Calculate c(h). 5 Let l be 15/(2/(-1) + 3). Let p be (1 + (-3)/l)/(5/(-25)). Let d(s) = -s**3 - 5*s**2 - 2*s - 4. Determine d(p). -12 Let c(i) = i**2 - 9*i + 13. Let b be c(8). Let o(l) = 7*l - b*l - 6*l. Calculate o(1). -4 Let s(a) = -a**2 + 7*a - 6. Let t(v) = -9*v + 319. Let y be t(35). Give s(y). 6 Suppose 32*y - 17*y = -30. Let s(w) = w**2 + 2*w + 2. Determine s(y). 2 Let d(q) = 231*q**3 + 232*q**3 - 464*q**3 + 20*q - 19*q**2 - 13 - 5. Determine d(-20). -18 Let w(b) = -15*b**2 + b**3 + 5*b + 6*b**2 + 3*b**2 + 4. Let t be 6 + 2 + (-3 - 0). Determine w(t). 4 Suppose 12*m + 11 = -30 - 19. Let s(c) = 7*c**3 + 6*c**2 + 7. Let p(l) = -6*l**3 - 6*l**2 - l - 6. Let k(g) = 6*p(g) + 5*s(g). Determine k(m). 4 Let a = -12 + 23. Suppose 15 + 29 = -a*r. Let c(f) = f + 3. Calculate c(r). -1 Let c(q) be the third derivative of 0*q**3 - 38*q**2 - 1/20*q**5 + 0 + 0*q - 1/120*q**6 + 1/6*q**4. Calculate c(-4). 0 Let g = 207 - 205. Let d(k) = 4*k - 13*k + 6*k - 6*k - 1. Give d(g). -19 Let y(k) = -2*k**3 + 8*k**2 + 8*k + 4. Let d(m) = m**3 - 8*m**2 - 10*m - 4. Let g(t) = -3*d(t) - 2*y(t). Determine g(-6). -8 Let l(a) = -2*a**2 + 11*a + 17. Let j be 5 + (1/1)/(2 + -3). Let f(k) = -k**2 + 5*k + 8. Let r(c) = j*l(c) - 9*f(c). What is r(0)? -4 Let m(b) = 47*b - 14*b - 29*b. Suppose 129 = 5*r + 9. Let k be ((-2)/4)/((-4)/r). Determine m(k). 12 Let v(i) = i**3 + 2*i**2 - 6*i - 2. Suppose -4*t - 5*j = -9, j = 2*t - 7 - 8. Let x be (8/t)/((-5)/15). Give v(x). -10 Suppose -4*k + 18 = -2*z, -10 = -2*z - 6*k + 3*k. Let q(t) = 8*t**3 - t**2 - t. Determine q(z). -8 Suppose 15 = 2*m - 3*i, -3*m + 40 = -0*i - i. Let g(k) = -27 - 5*k + 9 + m. Let d(q) = 6*q + 4. Let n(v) = 4*d(v) + 5*g(v). Calculate n(4). -3 Let u(f) = 2 + 62*f**3 + 12*f - 61*f**3 + 5*f**2 - 9*f. Give u(-4). 6 Let h(i) = -i**2 - 8*i - 2 + 0 + 6. Give h(-4). 20 Let h(x) = x**3 - 5*x**2 - x + 6. Let y(q) = -9*q + 20*q + 5 - 6*q - q**2. Let n be y(5). Determine h(n). 1 Let z(y) = 21*y**3 - y. Suppose 3*f + 139 = 1. Let s = f + 47. Calculate z(s). 20 Let f(v) = -2*v + 44. Let u be f(19). Let c(m) = 3*m - 14. What is c(u)? 4 Let v(h) = 2*h**3 - 4*h**2 - 8*h - 12*h - 2 - 13*h + 38*h. What is v(3)? 31 Let h be 81/54*(-2)/3. Let g(j) = 34*j**2 - j. Give g(h). 35 Let f(v) be the first derivative of -v**3 - 13*v**2 + 9*v - 225. Calculate f(-9). 0 Let j(m) = m**3 + m**2 - 6*m - 3. Let o(q) = -5*q**2 - 5*q - 4. Let n be o(-1). Determine j(n). -27 Let w(y) = y**3 + 8*y**2 - 10*y + 4. Suppose m + 17 = -3*a + a, 3*a = 2*m + 6. What is w(m)? 13 Let k(n) = -n**2 - 2*n + 6. Suppose 2*y = i + 10, -4*y + 16 + 4 = 4*i. Give k(i). 6 Let c(q) = -q**2 + 0 + 15 + 0*q**2 - 6 + 8*q + 6. Give c(10). -5 Let n(g) = -g**3 + 9*g**2 + 11*g - 8. Let r be n(7). Let v(o) = -332*o + 1 + r*o + 166*o. Suppose t + a + 9 - 1 = 0, 0 = -3*t - a - 18. What is v(t)? -4 Let o(p) = -2*p + 3. Let d = -68 - -71. Suppose d*b + 3*h - 18 = -0*h, -10 = -b - 5*h. Calculate o(b). -7 Let c(x) = 5*x**3 + 3*x + 2. Let r be (1 - 6/(-18))*21/(-28). Calculate c(r). -6 Let w(o) = 3*o**2 + 4*o**2 - 9*o**2. Let d(u) = -u**3 + 11*u**2 + u - 8. Let s be d(11). Calculate w(s). -18 Let y(i) = 4*i**2 + 11*i + 30. Let k(j) = 8*j**2 + 24*j + 65. Let d(v) = 6*k(v) - 13*y(v). Give d(-1). -5 Let j(s) = 4*s + 8. Let k be 1/7 - (-660)/84. What is j(k)? 40 Let x(u) = 5*u**2 + 3*u - 5 - 2 - 4*u**2 - 4*u. Let d be x(3). Let p(c) = -10*c - 1. Determine p(d). 9 Let j(x) = x - 1. Suppose 5*l + v = -28, -10*l - 4 = -9*l + v. Determine j(l). -7 Let c(v) = 2*v + 6. Let l(o) = 3*o + 5. Let w(m) = -4*c(m) + 3*l(m). Let s be w(11). Let n(d) = -2*d - s*d + 5*d. Determine n(-5). -5 Let n(x) = -x**3 - x**2 + 2*x - 9. Let u be n(0). Let p be 22/(-3) + ((-24)/u)/8. Let h(f) = -f**2 - 5*f + 8. What is h(p)? -6 Let s = -80 + 83. Suppose 0 = s*h - 6 - 6, 2*h = -3*p + 20. Let k(z) = 2*z - 6. Give k(p). 2 Suppose -4*y + 4 = -4. Suppose 32 = 6*v - y*v. Suppose 3*g + v = -g. Let j(a) = -2*a**3 - 2*a**2 + 2*a + 3. Determine j(g). 7 Let p(y) = -y - 9. Let f(l) be the third derivative of l**3/6 - 2*l**2. Let c = -87 - -86. Let q(s) = c*p(s) + 5*f(s). What is q(-6)? 8 Let u(k) = k**2. Let b(s) be the third derivative of s**4/24 - 3*s**3/2 + 19*s**2. Let v be b(6). Determine u(v). 9 Let v(b) be the second derivative of b**8/6720 + b**7/1260 + b**6/720 - b**5/60 - 19*b**4/12 + 17*b. Let t(m) be the third derivative of v(m). Determine t(-2). -4 Let g(o) = o**2 + 5*o - 2. Let h = 51 - 36. Suppose -3*c = -8*c + h. Su
{ "pile_set_name": "DM Mathematics" }
5*y - 2 = 0, -4*y = -o + 9 - 4 for o. 1 Let b be -5*1*3/(-5). Solve y - b*y = -2, 4*y = -2*d + 14 for d. 5 Let s be (-2 + (-36)/(-8))*(-12)/(-10). Solve -5*u = 5*n + 5, u = -2*n + s*n + 5 for n. -3 Suppose -v = -64 + 60. Solve 0 = 4*k - 5*u - 32, -4*k + v*u + 28 = -0*u for k. 3 Let k(w) = -3*w**3 - 4*w**3 + 3*w**3 + w. Let f be k(-1). Let a be f + (-2)/(-2)*-1. Solve 0 = -2*s - a*q, -2*q - 3 = 3*s - 1 for s. -2 Suppose -2 = -f - 3. Let l = 1 + f. Solve -3*c = -l*u - u - 12, -3*u = -c - 4 for c. 5 Suppose 0 = 5*f - 5*w, 0*w - 3 = -w. Suppose -h - m + 3 = 0, -3 + 16 = 3*h + m. Suppose -2*l - 1 = -h. Solve 5*s = -f*r - 5, -l*r = 4*s - 5*s + 12 for s. 2 Suppose -k + 12 = -0*w + 2*w, 5*w = -4*k + 33. Solve 3*f = -k*p + 6*p - 3, 0 = -3*f - 5*p - 3 for f. -1 Let k(i) = -i**3 + 10*i**2 - 5*i - 10. Let w be k(9). Let t be 516/w - (-4)/26. Solve -2*s = -o - 3*o - t, 0 = -2*o - s - 6 for o. -4 Suppose 11*t - 19*t = -32. Solve 2*i + 3*i + 1 = 2*n, -i - 11 = -t*n for i. 1 Suppose -5*k = -c + 4, -20 = c + k - 6. Let g = c + 13. Solve -5*w = -3*x + 13, 2*w - 2 = 4*w + g*x for w. -2 Let p be (1 - 0/2) + -19. Let n = -13 - p. Let d(q) = -q + 9. Let i be d(n). Solve 2*h = 5*x + 3 - 1, 0 = i*h + 3*x - 4 for h. 1 Suppose b = -2*m - 2, 0 = b - 4*b - 3*m. Suppose -b*g = -2*v - 4, -4*g - v + 29 = 2*v. Solve 3*l + g = r, -r - r + l - 5 = 0 for r. -4 Suppose -6 = -0*c - 3*c. Solve -4*o + o - 2 = 2*m, -5*o = c*m + 2 for o. 0 Let z(i) = i**2 + i - 2. Suppose -d - 4 = d. Let m be z(d). Solve 20 = 5*w - 2*s, 3*w + 5*s + 2 + 17 = m for w. 2 Let b(z) = -z**2 + 6*z + 10. Let s be b(7). Suppose s*v = -0*v + 9. Suppose 4*o - 8 = -0*o. Solve -o*u + v*u - 7 = -3*i, 25 = -u + 5*i for u. -5 Let h = 4 + 1. Suppose -d + 5*d - 2*m = 8, 2*d - h*m = 4. Solve -x - 2*x = -d*a + 11, -4*x + 4 = 2*a for x. -1 Let o = 19 + -14. Solve 7 = 4*g + r, -o*g - 3*r = -6*r - 30 for g. 3 Let s(i) = 4*i - 3. Let d be s(2). Suppose 4*l = d*l. Solve l*q = q + 5*v + 23, 5*q - 5*v = 35 for q. 2 Suppose x - 6 = -5*b - 19, 4*b = -12. Suppose 0 = l + 4*z + 20, 2*l + 17 = -3*z + 2. Solve -3*v = x*q - 7, 5*v - 5*q = -l*q + 20 for v. 3 Let y = 8 - 5. Suppose -8*w + y*w = -10. Solve -w = -2*s, -4*b - 3*s = -5*s - 14 for b. 4 Let n = 8 + -4. Let y be 10/n*(-16)/(-20). Suppose 0 = -2*t + 2 + y, t = -f + 6. Solve -3*z - 28 + 7 = -2*c, -20 = f*z for c. 3 Let p be (-3 + 3)/(4 + 3 + -4). Solve 5*u - 24 = -4*i, p*i - 1 = -i for u. 4 Suppose -2*o = -5*y - 3 - 32, 2*y + 10 = 0. Solve 4*u + 4*m - 16 = u, -25 = -o*u - 5*m for u. 4 Let t(p) = -p + 10. Let a = 13 - 21. Let x be t(a). Solve 5*d + g - 5 = 0, 7 = -5*g - x for d. 2 Let t(v) = -5*v + 15. Let n be t(3). Solve 5*b = -2*y + 8, n = -3*y - b - 1 for y. -1 Let z = -13 + 10. Let x be z + -3*(-3 + 2). Solve 4*w = 5*d - 25, -4*d + 4*w + 0*w + 20 = x for d. 5 Suppose 0 = -3*o + 2*f + 25, 3*o - f = 3*f + 35. Suppose -14 = -2*y - 0*k + 2*k, 5 = -5*y - o*k. Solve 0 = h + u - 5*u + 21, -y*u = 3*h - 12 for h. -1 Let s = -10 + 14. Solve 2*g + 6 = -d, s*g + 14 = 3*d - 8 for g. -4 Let z = 17 - 12. Let m be 1/(1/(3/(-3))). Let b = m + z. Solve -3*t + 4*h - 19 = 0, 2*t + 2*h - b*h + 10 = 0 for t. -1 Let r(m) = -m**3 + 5*m**2 - 3*m - 2. Let h be r(3). Let k be 30/7 + (-4)/14. Solve k*l + 0 = -c + h, 3*c - 5 = 4*l for l. 1 Suppose 5*v = a - 29, 0 = 5*v + 5 + 15. Let j = -26 - -31. Suppose 4*w - 23 = j*y + 21, -5*y - 50 = -5*w. Solve 0 = -3*d - 3*u - a - w, 3*u = -6 for d. -3 Let g(j) = j - 2. Let n be g(2). Let d be (-2)/(-3) - (-146)/6. Suppose n*b - 5*b = -d. Solve 3*v - 6*v + 4*r + 26 = 0, 2*v = b*r + 29 for v. 2 Let j be ((-36)/14)/((-6)/28). Suppose 0 = -5*l + 3*i + j, -4*i - 1 = 15. Solve g + k = l, 3*g - 5*k - 26 = -2 for g. 3 Suppose 3 + 3 = 2*i - a, 3*a = 3*i - 6. Let y = i + -2. Solve 2 + 3 = 5*d, 2 = -4*p + y*d for p. 0 Let h = -13 + 21. Suppose f - 5*f = -h. Solve -c + 3*a = f, 4*c - 8*c + 4*a - 8 = 0 for c. -2 Let x be 0 + 2 + 4 + -4. Solve x*h - 35 = -3*w - 2*h, -10 = -5*w + 3*h for w. 5 Let d = 4 + -1. Let k be ((-2)/4)/(d/30). Let v = k - -6. Solve -3*a = 2*u - 0*u - v, 2*a = -u - 1 for a. -3 Let v be (-3)/(-1*3/4). Solve -4*b - 10 = 5*l - 3*l, -3*b + v*l = -9 for b. -1 Let q be -1*(-1)/(3/3). Let h be 28 + 2/1 - q. Let t = 53 - h. Solve 0 = 7*i - 3*i - 4*a + t, a + 12 = -5*i for i. -3 Let t(f) = 2*f + 10. Let x be t(-8). Let b = 8 + x. Suppose 0 = -b*u - 2*u - 2*l + 66, -2*u = -5*l - 63. Solve -2*n = -2*p - 0 - 14, 4*n - u = p for n. 4 Suppose -o - 2*k - 1 = 0, 2 = -3*o + 5*o + 2*k. Solve 0 = -o*t + 3*l - 9, -6 = 2*t - 6*l + 2*l for t. -3 Suppose 14 = 4*j + 2*z, -10 = 2*j - 5*z + 1. Solve -2*m = 3*w + 4, -2*w = -w - j*m - 12 for w. 2 Let h = -13 + 16. Let i(s) = s**3 - s**2 + s + 5. Let q be i(0). Suppose -h*j + q*o + 32 = -32, 3*j = o + 56. Solve 2*v = 5*f - 11, 0*v = 3*v + 4*f - j for v. 2 Let l be (-19 + 10)*(4/18)/(-1). Solve 0 = z - 0*z + 3*y - 12, l*y = 2*z for z. 3 Suppose 3*h - 41 = -7*q + 2*q, -12 = -4*h + 4*q. Solve 3*x - 3*c + 16 = -5, -2*c = 5*x + h for x. -3 Suppose -v - 39 = -42. Solve 0*w + w = 5*z + 12, v*z - 5*w + 16 = 0 for z. -2 Let g be 3/(-12) - (-13)/4. Suppose 85 - 5 = 5*n. Suppose -v - 4*v + 10 = 0. Solve g*c + 4*m - v = -n, 3*m = 3*c for c. -2 Suppose 8*j = 2 + 14. Solve -2*y - 13 + 4 = -t, j*t = -3*y - 10 for t. 1 Let w(x) = x + 14. Let n(u) = -u - 15. Let k(o) = 2*n(o) + 3*w(o). Let p be k(10). Solve -5*t = 3*b + p - 3, 2*t - 8 = 4*b for b. -3 Let a(v) = v - 24. Let n be a(27). Solve 2*g - 7 = n*f, -2*g + 1 = 5*f - 2*f for f. -1 Let w = -4 - -9. Suppose -4*u - 6 = -w*k + 1, -5*k = 3*u - 21. Solve -k*m + 15 = 5*d - 7, d - 3*m - 8 = 0 for d. 5 Suppose -2*s = f - 14 + 55, 43 = -f - s. Let t be (-6)/(5/(f/(-6))). Let y = t - -14. Solve 4*o - 5 = a, 0 = -2*o - 2*o + y*a + 9 for o. 1 Let b(i) be the first derivative of i**2/2 + 7*i - 2. Let a be b(-6). Suppose -2*y + 3*p = -a, 5*y + p - 16 = 4*p. Solve g - 25 = -3*k - 8, 0 = y*k - 25 for g. 2 Let a be (-4)/(-18) - 235/45. Let f be -1 - (1 + 0 - 2). Let z be (-3)/5*(a - f). Solve -z*s = -0*s + x + 6, -x = 3 for s. -1 Let g(s) = s**3 + 8*s**2 + 9*s + 9. Let z be g(-6). Suppose -o - z = -4*h, h - 5 = 4*o + 13. Solve 5*c + 5*k - 4*k = -h, 0 = 2*k - 8 for c. -2 Let y(v) = -v + 6. Let m be y(-6). Suppose -6*b + 28 = -2*b. Let g = 9 - b. Solve 3*r = -g*w + m, -3*w + 0*w + 13 = 2*r for w. 3 Let m be 3/(-6) + (-14)/(-4). Solve -3*y + 3*t = -9, -2*y - m*y + 3*t = -15 for y. 3 Suppose 0 = 2*k - k + 1. Let v be k/(-2 + 10/6). Let h = -43 + 43. Solve 0 = 2*r - 0*r + 5*b - 17, h = -3*r - v*b + 3 for r. -4 Let u be (112/(-42))/((-2)/15). Solve 4*d - 16 = -4*r - 0, -5*d = -u for r. 0 Let i = 100 + -95. Solve 5*u = -i*r - 25, 2*u + u + 9 = -r for u. -2 Suppose -22 = -5*j + k - 3, j = -4*k + 8. Suppose -j*a = -8*a + 4. Let q be 2*a/(-2) + 4. Solve 4*z = -4*c, -7*z = -q*z - 3*c - 35 for z. 5 Let g be -48 - (0/(-4) - 3). Let r be 2/(-3)*g/10. Solve 3*h - 3 = r*c, -4*c = 3*h - 5*c - 11 for h. 5 Let w(f) = -f**3 - f**2 - 2*f - 4. Let h be w(-2). Solve -k + 7 = -h*r, 5*r + k + k + 25 = 0 for r. -3 Suppose -9 = -3*t + 2*w, t + 6*w - 14 = 3*w. Solve 2*j = -3*i + 11, t*j + 4*i - 16 = j for j. 1 Let r = 7 + 0. Suppose s + 4*h = r*h + 22, 4*s = 3*h + 43. Let f be 18/s + (-3)/(-7). Solve -4*m - 5*g = 27, f = m - 3*g - 3 for m. -3 Suppose 0 = -3*m + 6 + 9. Suppose 2*s + s = -m*k + 16, 0 = -4*k - 4*s + 16. Solve -5*p - 25 = 0, 3*p = b + k*p - 6 for b. 1 Let t = 166 - 163. Solve -4*v = t*b, 0*b = -2*b - v + 5 for b. 4 Let r = 2 + 27. Let t = r - 12. Solve 0 = y - 3*c + 5 - t, 2*y + 5*c = -31 for y. -3 Let m = 15 - -7. Let d = m + -7. Solve -2*a - a - 7 = y, 3*y = d for a. -4 Suppose -3*l - 9 = -l - 3*g, 0 = 3*l - 3*g + 6. Suppose -3*k + 120 = 2*k. Let h = k - 12. Solve p + h = l*r, 5*r + 0*p + 3*p = 20 for r. 4 Let w(p) = 2*p**3 + 12*p**2 - p. Let v = 8 - 14. Let h be w(v). Solve -2*u + h = 0, -3*n + 5*u - 10 = 17 for n. -4 Let t(x) = x + 0*x - 4*x + 2*x. Let o be t(-4). Solve -8 + 5 = -m, o*u - 23 = -5*m for u. 2 Suppose 77 = -4*p + 93. Solve 5*x - 5 = -5*b, b - p*b + 24 = -4*x for x. -3 Let i(f) = f**3 + 10*f**2 + 7*f - 3. Let y be i(-9). Suppose 0 = -h - 5 + y. Solve -3*m = 4*u + h, u + m - 4 = -3*m for u. -4 Let t(s) = -s + 13. Let d be t(11). Let p be 84/20 + d/(-10). Suppose -p*y - 3 = -15. Solve 3*h - y*g - 12 = 0, 3
{ "pile_set_name": "DM Mathematics" }
a) 0.7 (b) 8 (c) -5 (d) -12 (e) 3 (f) 1 a Which is the closest to -1/4? (a) 2 (b) -9 (c) 69 (d) 0.3 (e) 4898 d What is the closest to -1/3 in -0.02, -1797, -4, 0.3, 132? -0.02 Which is the nearest to 0.1? (a) 5 (b) -1 (c) -1456 (d) -2/1093 d What is the nearest to 161 in 64, 0.4, 0.1, 1? 64 Which is the nearest to 2? (a) -1749/8 (b) 2 (c) -4/7 (d) -2.6 (e) -5 b What is the closest to -21/5 in 0.2, -5, -4.412, -2.9? -4.412 What is the closest to -5 in 8733328, 3, 1/4? 1/4 What is the nearest to 7/12 in 4/7, -4/5, -948, -2/11, -1/9, 1? 4/7 Which is the closest to -2/5? (a) -126 (b) 9 (c) -0.3 (d) 88.9 c Which is the nearest to -3? (a) 0.4 (b) 1 (c) 845 (d) -1/9 (e) -5 e Which is the nearest to -10/49? (a) 5 (b) -1/4 (c) 13 (d) 1/3 b What is the nearest to 1606/5 in 0, 0.4, 168? 168 What is the closest to 521 in -2, -1, -30, -52, -0.01? -0.01 What is the closest to 4/15 in 5, -6/5, -0.439, 0.4? 0.4 What is the closest to 0.1 in 2, 7/2, 6, 63/32? 63/32 Which is the closest to -0.1? (a) -6246 (b) -6 (c) -1/4 (d) 0.4 (e) 3 c Which is the nearest to 1? (a) -7 (b) -3454 (c) -28 (d) 2 d What is the nearest to 0 in -0.5, -4, 2, -0.22, -0.2, -311? -0.2 Which is the nearest to -38? (a) -1/2 (b) -66 (c) 1/5 (d) 4 b What is the closest to -0.1 in -12, -2/25, -34524? -2/25 Which is the closest to -12.31? (a) -1/4 (b) 205 (c) 3/4 a What is the closest to -34 in -3/10, -27, -5, 0, 0.4? -27 Which is the closest to -1? (a) -4/7 (b) -5/3 (c) 1010/47 a Which is the nearest to -5? (a) -3 (b) -1 (c) 1 (d) 19805 a Which is the closest to 38? (a) -2 (b) 41 (c) -4/5 (d) -1 b Which is the nearest to -2? (a) -3065 (b) -176.6 (c) -0.02 c Which is the nearest to 1? (a) -4 (b) 4 (c) 3 (d) 166 (e) -167 c What is the closest to 491 in -0.2, -0.009, -37, -1.2? -0.009 What is the closest to -2829 in 5, -71, 4? -71 Which is the nearest to 2664? (a) 3 (b) -3 (c) -15 (d) 5 (e) 2 d What is the closest to 0.06 in 0.2, -0.47, -81, -3? 0.2 What is the closest to 2 in 0, -7/13, 1/10, -1.2, -6, -1/17? 1/10 Which is the closest to 6985/152? (a) 14 (b) 2 (c) 0.1 (d) 6 a What is the closest to 13 in 0.1, 1/5, -7/136, 1/2, 5? 5 What is the closest to 2632 in -6.2, 1/5, 0? 1/5 Which is the closest to -15428? (a) 2.5 (b) -3 (c) 3 (d) -2 (e) -4 e Which is the closest to -2/3? (a) 69 (b) -1.3 (c) -11 (d) 11.9 (e) -2 (f) -3 b Which is the closest to 1/4? (a) 0.01079 (b) -6/11 (c) -6 (d) 0.4 (e) -5/3 d Which is the nearest to 1? (a) 2993598 (b) 1 (c) 0.052 b Which is the nearest to 0.1? (a) 7 (b) -9683.77 (c) 0 c Which is the closest to 0? (a) 57/5 (b) 2/7 (c) 1/15 (d) 3.14 c What is the nearest to -2/285 in -9, 1, -3/13810? -3/13810 What is the closest to -0.115 in 5, 0.2, 1, 0.1, 8? 0.1 What is the nearest to 0.3 in -0.5, -1, -1/7, 32240? -1/7 Which is the nearest to -0.3? (a) -5 (b) -4 (c) -1 (d) -112727 c Which is the closest to 0.02? (a) -0.3 (b) 0.2 (c) 0.1 (d) 6.9 (e) 1 c Which is the closest to -0.1? (a) 5 (b) 24544 (c) 24/11 (d) -2 d Which is the closest to -3? (a) -5 (b) 4 (c) -2772 (d) 83.5 a What is the closest to 14 in 180, -0.3, 2/9, -88, 3? 3 What is the nearest to 1 in 0.5, 1, 20.43, 18, 0.2? 1 Which is the closest to 0.2? (a) 86122 (b) 7 (c) -0.3 (d) 0 d What is the nearest to 3 in -1224, 3, 80? 3 Which is the closest to -4? (a) 4 (b) -1/7 (c) 1/8 (d) 4.094 (e) 1/4 (f) -1/17 b What is the closest to 53 in 3.4, -5/4, 5, 221? 5 What is the closest to 0 in -1, 38, 4/3, 9? -1 What is the nearest to 1 in 0.2, 4, -86, -2.725, 2/11? 0.2 Which is the closest to 0.1? (a) 2 (b) 0 (c) -1997 (d) 925/4 b Which is the nearest to 134? (a) -596/13 (b) 2/9 (c) 23 c Which is the closest to 2/23? (a) 35.7 (b) -0.5 (c) 10 (d) -1 b What is the closest to 2/5 in 1132, 176.17, -0.2? -0.2 What is the closest to -3 in -2/2303, -3, -26.4? -3 Which is the closest to 10/7? (a) -10 (b) -1140 (c) -0.04 c What is the nearest to -2 in 2/9, -0.2, -0.147, 26? -0.2 What is the nearest to 2 in -1876, 240, 0.5? 0.5 What is the closest to -3 in 3, -8/7, -0.21, 1, 391? -8/7 What is the closest to -0.1 in 1/18, 57, 0.31, 85, 2? 1/18 Which is the closest to 1? (a) -2/3 (b) 0.3 (c) -0.8 (d) 126.9 (e) -0.28 b What is the closest to 2.48 in 4, -2/15, 1/4, -34, -3/5? 4 Which is the closest to 41/3? (a) 1/7 (b) 4/121 (c) 1 (d) 5 d What is the nearest to -1 in -5, 0.2, 12, -497? 0.2 What is the closest to -4/13 in 4, -92, 5, -0.2, -3/25? -0.2 What is the closest to -20 in -6/5, -3/16, -91/12? -91/12 What is the closest to -1 in -2/3, -96, -4550, -0.5? -2/3 What is the nearest to 131 in -10/1607, -3, 0.1? 0.1 What is the closest to 4/33 in 0, -252/19, 0.2, -75? 0.2 Which is the closest to 1/3? (a) 0.8 (b) -2/7 (c) 12.064 (d) 42/23 (e) -0.4 (f) 4 a What is the nearest to 1 in 21, -6, 0.07, 73? 0.07 Which is the closest to 3? (a) 95 (b) 14/9 (c) -1/6 (d) 4 (e) -26 (f) -4 d What is the closest to 10 in -1518, -2, -10/11? -10/11 Which is the nearest to -15? (a) -4/5 (b) 7208 (c) -0.4 (d) -4 (e) 0.5 d What is the nearest to 15 in -13, 3/4, 27, -266? 27 What is the closest to -1/4 in 12, 5/6, -35/4, 5, 1/9? 1/9 Which is the nearest to 2? (a) 2/21 (b) -730 (c) -635 a Which is the closest to 121? (a) 0.037 (b) 7.1 (c) 1 b What is the nearest to -1 in -12, -0.4, -0.05, -12379? -0.4 Which is the closest to -2/7? (a) 1/12 (b) -2/5 (c) -15 (d) 8/3 (e) -159 (f) 3 b What is the closest to -1/2 in -2/19, -8, 0.34165, 0.4? -2/19 Which is the closest to 1/2? (a) 7.858 (b) 12 (c) -1/11 (d) -0.2 c Which is the nearest to -2/5? (a) -4 (b) -1 (c) 1470 (d) -6 (e) -60 b Which is the nearest to -10? (a) -0.1 (b) 0.6 (c) 0.07 (d) -2/67 a Which is the closest to -0.02? (a) 13695 (b) 0.1 (c) -4/7 b Which is the closest to -0.03? (a) 3 (b) -22 (c) -4/13 (d) -7 (e) -4 c What is the closest to 0.1 in -3, 2/3, -6, -1/20, -2? -1/20 Which is the nearest to 2/3? (a) 6358038 (b) -2/17 (c) 1/6 c What is the nearest to 1/4 in 8939, 13, 4, 0.3, -1/12? 0.3 Which is the nearest to -6? (a) 5/7 (b) 1 (c) 5/2 (d) -654 (e) 6/11 e What is the closest to -289 in -8, 0.38, 7, 3/4? -8 Which is the nearest to -0.064? (a) -0.022 (b) 2/13 (c) 2 (d) -1118 a What is the closest to 4363 in 23.9, 0.1, 2? 23.9 What is the closest to 372 in 1/5, 0.13, -2, -1/9, -0.02? 1/5 Which is the nearest to 1? (a) -4 (b) 0.072825 (c) 4/29 (d) -0.3 (e) -1 c Which is the closest to -0.1? (a) -1/24537 (b) 2 (c) -0.3 (d) 3/5 (e) 1/4 a What is the nearest to 1/58 in 2/5, -164, 2, -0.2, -3/7, -0.8? -0.2 Which is the closest to 23045? (a) -2 (b) 0.01 (c) -4 (d) 3 d What is the nearest to 16 in -1/6, -0.005, -27, -142? -0.005 What is the nearest to -0.3 in 6957, 0.206, -0.4, -1? -0.4 What is the nearest to -5/6 in -56/3, 27/4, -3, 0.3, -5/2, -0.07? -0.07 What is the nearest to 4/3 in 0.1585, 215, -3/10? 0.1585 What is the closest to -16.1 in 125, -1, -0.2? -1 What is the nearest to -1079 in -20, -2/11, -2/9? -20 Which is the closest to 2/5? (a) -2 (b) -243.8 (c) -49 a Which is the closest to -218/11? (a) -0.3 (b) -90 (c) 1/4 (d) -1/8 (e) -3 e What is the closest to -128.75 in -2/3, -10, -2, -1? -10 What is the closest to 318 in 0.18, -7, 4, -11, -1.3? 4 Which is the nearest to 0? (a) -355963 (b) -0.8 (c) 3 (d) -1/2 (e) 6/7 d Which is the closest to -4562? (a) -0.3 (b) -3 (c) -2 (d) 0.3 (e) 0.37 b Which is the closest to 0.5? (a) 5 (b) -0.13 (c) 0.9 (d) -127 (e) 1/7 e Which is the closest to 5? (a) 27 (b) -0.5 (c) -5 (d) 11/140 (e) -0.4 d What is the closest to 0.2 in -4/117, -1/3, -3, -0.2, -1, -317? -4/117 What is the nearest to 0.2 in 1/4, -242396, -1.3? 1/4 What is the closest to 0.1 in -0.2, 0.2, 105549/4? 0.2 What is the nearest to -2/5 in 2/9, -388.2, -0.1, -45? -0.1 Which is the closest to 0.385? (a) 0.8 (b) -1/4 (c) 1/5 (d) 6 (e) 1/9 c What is the nearest to 1 in -149, 164/643, -2? 164/643 Which is the closest to 1? (a) -156 (b) -1024 (c) -1/8 c Which is the closest to 3/2? (a) 2.45 (b) -0.48 (c) -12 (d) -52 (e) 0.4 a What is the nearest to 4 in -3/2, 20, 0.16, -94, -3/4? 0.16 Which is the nearest to 1/4? (a) -5 (b) -3 (c)
{ "pile_set_name": "DM Mathematics" }
he second derivative of 55892*p*v**2 - 202*p*v - 48*p - 817*v**2 + 8280*v wrt v. 111784*p - 1634 What is the third derivative of 408*j**2*n**3 + 320*j**2*n**2 - 2*j**2 - 12941*j*n**3 - 2*j + 8*n**3 - 32*n + 133 wrt n? 2448*j**2 - 77646*j + 48 What is the derivative of 50*v**3 + 10142*v - 34407249? 150*v**2 + 10142 What is the third derivative of 724567*s**5 - 7*s**4 + 10236014*s**2? 43474020*s**2 - 168*s Find the third derivative of 8581672*j**6 - 6*j**2 + j + 623598 wrt j. 1029800640*j**3 What is the third derivative of -755494*i**3 - 16379120*i**2? -4532964 Find the second derivative of -175991*q**3 - 11*q**2 + 191297440*q. -1055946*q - 22 What is the second derivative of -15186842*v**5 - 2*v**2 + 5481116*v? -303736840*v**3 - 4 What is the third derivative of -1128781*m*n**3*u - 18*m*n**2 + 103*m*n - 92*n**5*u + 17104*n**2*u wrt n? -6772686*m*u - 5520*n**2*u What is the first derivative of -34*p*x**2 - p*x - 15592*p - 8198403*x**2 wrt p? -34*x**2 - x - 15592 Find the second derivative of 2686*p**5 + 181*p**2 - 4*p + 130805 wrt p. 53720*p**3 + 362 Find the third derivative of -26*m**4 + 719932*m**3 - 23*m**2 + 7980144 wrt m. -624*m + 4319592 What is the second derivative of 51*n**5 + 66710*n**3 - 19199613*n wrt n? 1020*n**3 + 400260*n Find the second derivative of -237429*l**2*u + 224*l**2 + 7*l*u + 720*l + 4*u + 1588 wrt l. -474858*u + 448 What is the third derivative of 659066071*q**4 + 21*q**2 - 22071175? 15817585704*q Find the third derivative of 318107669*u**5 - 310773138*u**2 wrt u. 19086460140*u**2 Find the third derivative of 12457*o**4 - 1135*o**3 + o**2 + o - 17187510 wrt o. 298968*o - 6810 Find the third derivative of 151125337*m**3*v**4 + 62686024*m**3*v - 2*m**2*v**2 wrt v. 3627008088*m**3*v Find the second derivative of -6670303*v**5 - 4436357*v. -133406060*v**3 What is the derivative of -785043*g**4 + 48*g**2 - 66218407? -3140172*g**3 + 96*g What is the third derivative of 5998799*m**4 - 13*m**2 + 2483*m - 4 wrt m? 143971176*m What is the first derivative of -2907849*l**2 + 2*l - 8179430? -5815698*l + 2 Find the second derivative of -13*a**3 + 351277*a**2 - 30449485*a wrt a. -78*a + 702554 What is the third derivative of -4*t**3*v**4 - t**3*v**2 - t**2*v**2 + 2*t**2*v + 70*t*v**4 - 4*t*v - 3025*t + 44614*v**3 - 6*v**2 wrt v? -96*t**3*v + 1680*t*v + 267684 Find the third derivative of -2*d**3*n**2 - 669*d**3*n - 175*d**3 - 3319*d**2*n**2 - 695*d**2 wrt d. -12*n**2 - 4014*n - 1050 Find the second derivative of -74227068*d**5 + 2528477*d - 13 wrt d. -1484541360*d**3 Find the second derivative of -5*b**2*l - 4906*b**2*z**2 + 1650*b**2*z - b*l*z**2 + 9*b*l*z - 3*b*z**2 + 22*z**2 + 15 wrt z. -9812*b**2 - 2*b*l - 6*b + 44 What is the derivative of -2222865*a**3 + 2*a + 15472033? -6668595*a**2 + 2 Find the second derivative of 81*h**3 + 5569*h**2*m + 10558546*h*m wrt h. 486*h + 11138*m What is the third derivative of 25*z**4 + 97125*z**3 + 9994766*z**2? 600*z + 582750 What is the second derivative of 6*f**4*o**2 - 130038*f**2*o**3 + 2*f*o**3 + 98*f*o - 40977*o**3 wrt f? 72*f**2*o**2 - 260076*o**3 What is the third derivative of 9*t**4 - 2619191*t**3 + 807468*t**2 + 11? 216*t - 15715146 What is the second derivative of f**3*i**2 + 36*f**3*i - 3*f**3 + 48053*f**2*i**2 + 3*f**2*i - 29*f*i**2 + 5*f*i + 5*f - 231*i wrt i? 2*f**3 + 96106*f**2 - 58*f Find the second derivative of 318*h**3*o**2 - 46*h**3*o - 25*h**2*o - 395*h*o**2 - h*o + h + o**2 + 1707*o wrt h. 1908*h*o**2 - 276*h*o - 50*o Find the third derivative of -729746*l**5 + 4*l**4 - 6287291*l**2 - 1 wrt l. -43784760*l**2 + 96*l What is the third derivative of -131206160*p**6 - p**2 + 592*p + 59783? -15744739200*p**3 Find the second derivative of 387*g*o*v**2 + 63*g*o*v - 127*g*o + 3*g*v**2 - 85*g*v - 105*o*v**2 wrt v. 774*g*o + 6*g - 210*o What is the third derivative of 56334050*f**4 - 16847973*f**2? 1352017200*f Find the second derivative of -12353179*a**3 + 15*a + 2369104. -74119074*a Find the second derivative of -437*n**4 + 4086*n**3 + 59*n**2 - 12*n - 34292575. -5244*n**2 + 24516*n + 118 Find the second derivative of 27693690*a**5 + 3507413*a. 553873800*a**3 What is the third derivative of 2909530*z**6 - 17*z**2 - z + 220506 wrt z? 349143600*z**3 What is the first derivative of -92118*k**2 - 1015*k - 276772895 wrt k? -184236*k - 1015 Find the third derivative of 3020*u**5 - 6075*u**4 + 2*u**2 + 256026*u + 1 wrt u. 181200*u**2 - 145800*u What is the third derivative of -1046654*k**4 - 65308*k**2 - 446 wrt k? -25119696*k Find the third derivative of -10*i**2*r**3 + 2*i**2*r**2 + 9066048*i*r**3 - i*r**2 + 2*i*r + 40*r**2 - 12*r - 3544 wrt r. -60*i**2 + 54396288*i What is the derivative of 68548695*v + 69023912 wrt v? 68548695 What is the first derivative of 2*v**2 - 12840952*v + 10323912 wrt v? 4*v - 12840952 Find the third derivative of -10118848*u**5 + 5967552*u**2. -607130880*u**2 Differentiate -1223*y**3 + 1239*y**2 + 33468887. -3669*y**2 + 2478*y Differentiate 273*r**4 + 17662*r**2 + 168493942 with respect to r. 1092*r**3 + 35324*r What is the third derivative of -495941934*b**3 + 159268554*b**2 wrt b? -2975651604 Find the second derivative of -533695*g**2*u + 96*g**2 + g*u + 2*g - 1849*u - 902 wrt g. -1067390*u + 192 Find the third derivative of 494614220*q**6 - 150342*q**2 + 4*q - 17. 59353706400*q**3 What is the third derivative of -22088958*v**6 - 4*v**2 - 2*v - 146317 wrt v? -2650674960*v**3 What is the third derivative of 7548796*n**5 + 83955*n**2 - 4 wrt n? 452927760*n**2 What is the third derivative of -13342805*i**5*u + 7*i**4*u**3 + 84*i**2*u**3 + 62557*i*u**3 wrt i? -800568300*i**2*u + 168*i*u**3 Find the first derivative of -4923583*d*s - 3397667*d + 2*s**4 wrt s. -4923583*d + 8*s**3 Find the second derivative of -7254118*o**2 - 136352*o - 7. -14508236 What is the first derivative of -1562692*n**3*r - n**3*z**3 + 43*n**3*z**2 + 85*n**3 - 6*n**2*r*z**3 + 23*n**2 + 2*z wrt r? -1562692*n**3 - 6*n**2*z**3 Differentiate 47066279*u + 26615411 with respect to u. 47066279 Find the second derivative of 2*b**2*c**2 + 400*b**2*c - 2*b**2 + 144255989*b*c**2 - 7*b*c - 2035 wrt c. 4*b**2 + 288511978*b Find the second derivative of -1653056*k**2 + 10827*k - 15 wrt k. -3306112 Differentiate 32214268*n**3*t - 27237460*n**3 with respect to t. 32214268*n**3 Find the second derivative of 53827032*y**2 - 7941*y - 4181 wrt y. 107654064 Find the second derivative of -43*b**2*r**3 - 865*b**2*r**2 + 58*b**2 - 287*b*r**3 + 3477*b*r**2 - 2*r**3 wrt b. -86*r**3 - 1730*r**2 + 116 Find the second derivative of 2*g**2*o**2 + 3*g**2*o*t**2 + g**2*o*t - 6*g**2*t**2 + 3758762*g*o**2*t**3 + 2240*g*o*t + 3*g*o - 2*t**3 wrt o. 4*g**2 + 7517524*g*t**3 What is the second derivative of 11859*a*p**4 + 3604*a*p**2 + 4428*a + 1719*p + 3 wrt p? 142308*a*p**2 + 7208*a Find the second derivative of 3622*j**5 + 11*j**3 + 2262*j**2 - 5350863*j - 2 wrt j. 72440*j**3 + 66*j + 4524 Find the third derivative of -899687445*j**3*q**3 - 2*j**2*q**2 + 1421*j*q**3 - 311*j wrt j. -5398124670*q**3 Find the first derivative of -17468195*c**3 + 12863936. -52404585*c**2 What is the third derivative of 16637300*z**4 + 15401158*z**2? 399295200*z What is the first derivative of -110901392*u + 91971791? -110901392 What is the derivative of 964031343*r + 181783161 wrt r? 964031343 What is the second derivative of -86676*m**2*x**2 + m**2 - 3*m*x - 2*m + 2*x**4 - 22*x**2 + 63684*x wrt x? -173352*m**2 + 24*x**2 - 44 What is the second derivative of -2*p**3 - 232614*p**2*q**2 - 4*p**2*q - 8531638*p*q**2 wrt p? -12*p - 465228*q**2 - 8*q What is the second derivative of 139127508*w**2 - 463636931*w? 278255016 Differentiate -f*i**2 + 1449*f*i - 3*f*x**3 + 6*f*x + i**2*x**3 - 4354*i**2*x**2 - 2*i**2 - i*x**3 + 14*i*x with respect to f. -i**2 + 1449*i - 3*x**3 + 6*x Find the third derivative of -1683401*i**3 + 3175*i**2 + 1142*i wrt i. -10100406 Differentiate 8974*x**4 + 763*x**3 + 13859336 with respect to x. 35896*x**3 + 2289*x**2 What is the second derivative of -61357190*i**2 + 441194365*i wrt i? -122714380 Find the second derivative of -2*i**2*t**2 + 1604156*i**2*t - 2*i*t**2 - 111011122 wrt i. -4*t**2 + 3208312*t What is the first derivative of -a**4 + 2*a**3 - 421*a**2 + 136*a + 8691948? -4*a**3 + 6*a**2 - 842*a + 136 What is
{ "pile_set_name": "DM Mathematics" }
+ -6. Suppose 3*g + 3*p - 273 = 0, -5*g = t*p + 310 - 759. Suppose -4*k + 4*x + g = 0, -6*x = -x - 15. Does 11 divide k? False Let q(z) = z**2 - 8. Suppose 0 = 4*t + 3*j - 11, -5*t = -j + 2*j - 22. Suppose n = t*n - 24. Does 14 divide q(n)? True Is 9 a factor of (180 - 21) + 1*3? True Let g = -71 + 103. Let r = 5 + -10. Is 5 a factor of 2/(-5) - g/r? False Let w = -9 + 15. Let j = w - 4. Is 2 a factor of j? True Suppose 0 = -4*s - 3 + 11. Suppose 2*w = -s + 6. Suppose -4*u + w*c + 74 = 0, 35 - 1 = 2*u + 2*c. Is u a multiple of 18? True Suppose 0 = -3*m + 11 + 1. Suppose o - 28 = -4*l, -l - 3 = -m. Does 24 divide o? True Let i be -5 + 4 + (0 - -1). Suppose 0*r = l - r - 37, 3*l - r - 111 = i. Is 13 a factor of l? False Let j = 8 + -8. Suppose -5*k + j*k + 600 = 0. Suppose 0 = -5*c + c + k. Is c a multiple of 15? True Let m = -4 + 5. Let c(j) = 8*j**3 + j**2 - 1. Is c(m) a multiple of 8? True Let o = -137 - -244. Does 10 divide o? False Suppose 62 = 3*n - 19. Suppose -n = 5*l - 77. Is l a multiple of 3? False Let b(j) = j**2 + 5*j - 2. Does 22 divide b(3)? True Let a be ((-8)/(-12))/((-2)/(-9)). Suppose m + 0*m = a. Suppose -k - 84 = -m*k. Is k a multiple of 14? True Let z(r) = r - 48. Let s(p) = 3*p - 144. Let d(f) = -3*s(f) + 8*z(f). Does 16 divide d(0)? True Suppose -2*s + 0*s = -8. Suppose 4*w = -g - 5, s*w + 5*g + 1 - 8 = 0. Does 3 divide 2*((-11)/(-2) + w)? False Let o = 10 - 14. Let v(r) = r**3 + 4*r**2 - 5*r - 2. Is 7 a factor of v(o)? False Suppose -4*f = s - 8, -3*f + 16 = -3*s - 5. Does 9 divide (2 - 38)*3/s? True Let d(v) = v**2 - 6*v - 6. Is 10 a factor of d(8)? True Let m(h) = -h**3 - 7*h**3 - 3*h**3 + h. Let f = -6 + 5. Is m(f) a multiple of 10? True Suppose -2*f + 5*x = -10, f = -3*x - 2 + 7. Suppose -5*i - j + 10 = 31, -f*j = 3*i - 5. Let m(y) = -y**3 - 4*y**2 - 4. Is 11 a factor of m(i)? False Suppose -x = -5*l, -x - 64 = -4*x - l. Is 5 a factor of x? True Suppose 23 = 5*a - 32. Let n(x) = -x**3 + 12*x**2 - 6*x - 14. Does 14 divide n(a)? False Let c(l) = 2*l**2 + 2*l - 1. Let n(v) = -3 - 2*v + 3*v + 2 + 6. Let i be n(-7). Is c(i) even? False Let h(c) = 23*c - 29. Does 27 divide h(7)? False Let i = 153 - 43. Is i a multiple of 22? True Let n = 85 + 25. Suppose 2*o = -i + 37, 18 = -4*o + 4*i + n. Let h = o - -13. Is h a multiple of 13? False Let z(m) = m - 1. Let t(f) = -f + 2. Let o(j) = -6*t(j) - 13*z(j). Let x be o(-5). Suppose 9*n - 4*n = 3*s - 108, n = s - x. Is 14 a factor of s? False Suppose -2*c = 5*d - 29, 0*d + 4*d = 20. Suppose c*s = 3*s - 12. Is s a multiple of 4? True Let l = 22 + 8. Is 6 a factor of l? True Let o(a) be the first derivative of 9*a**4/4 - a**3/3 + a + 5. Is o(1) a multiple of 8? False Let q = 323 - -722. Let u = -1650 + q. Does 6 divide u/(-35) + 2/(-7)? False Let d be 2*15*(-10)/3. Let n(u) = 2*u. Let m be n(5). Is (-8)/m*d/8 a multiple of 8? False Let i(n) = 9*n**2 - 5*n + 2. Is 4 a factor of i(2)? True Suppose 3*r + 3 = 5*t - 0*t, -4*t = -2*r - 4. Suppose -r*o - 9*a = -4*a - 93, -5*a = -5. Suppose o + 23 = s. Does 12 divide s? False Let w(d) be the first derivative of -3*d**2/2 + d - 1. Let u be w(-1). Suppose f - u*f = -60. Is f a multiple of 15? False Let r = 1 - 0. Let k = r - 1. Suppose k = 4*x - n - 69, 3*n + 2 + 1 = 0. Is x a multiple of 6? False Suppose 3*m - 153 = 2*a - 6*a, -2*m + 3*a + 119 = 0. Does 11 divide m? True Suppose 0 = 2*s - 7 - 3. Suppose a = -4*x - 9, -34 = 5*a + 4*x - s. Let n = a + 7. Is n even? True Suppose -5*j = -3*b - 29, 2*b + 3*j - 14 = -2*j. Let r be (-2)/(-6) - (-64)/b. Does 3 divide (-23)/(-7) - (-6)/r? True Let t = 42 + -19. Is t a multiple of 23? True Suppose 4*j + 58 = 274. Does 18 divide j? True Let o(d) = d**2 - d + 3. Is 15 a factor of o(-6)? True Suppose 0 = -n + 3*n - 42. Suppose 5*r - 19 = n. Does 6 divide r? False Let a be 0 + (2 - -1) - -31. Let j = a + -6. Does 14 divide j? True Let z(r) = -6 - 8*r + 1 + 4. Is 12 a factor of z(-3)? False Suppose 0 = i - 10 - 31. Does 10 divide i? False Let k = 0 - 0. Suppose -q + 47 - 2 = k. Is 12 a factor of q? False Let x(q) = -q**3 + q - 7. Is 5 a factor of x(-3)? False Let n(p) = -5*p + 3. Let r be n(2). Let c = -3 + 13. Let s = c - r. Is s a multiple of 17? True Suppose -2*m - 2*m - 276 = -4*z, -m = -3*z + 199. Is 28 a factor of z? False Suppose -2*a - 24 = 2*a. Let v be -255*(-3)/((-27)/a). Let j = -120 + v. Is j a multiple of 21? False Suppose -2*h = -3*t + 18, 0 = -2*t + 4*h + 4 - 0. Does 3 divide t? False Let j be -3 + 6*(-8)/(-6). Suppose -44 = 3*c - j*c. Is c a multiple of 6? False Let n be -1 + 3 + (1 - -25). Suppose -2*w + n = 2*w. Is w a multiple of 2? False Suppose 25 = 4*d + d. Let l(t) = t - 1. Let w be l(d). Suppose -55 = -w*c + 3*c. Does 21 divide c? False Let k(g) = 43*g**2 - 3*g + 2. Is k(1) a multiple of 9? False Let q be 18/(-27)*(-15)/2. Suppose -4*g = -q*h + 56, -5*g = 4*h - 53 - 0. Does 6 divide h? True Let d = 20 - -22. Is d a multiple of 7? True Suppose -2*f - u - 5 = 0, 5*u - 30 = 2*f - 7. Does 7 divide (-1)/f - (-385)/28? True Suppose 0 = 2*q - 5*q + 141. Does 6 divide q? False Suppose 3*i = i + 4. Suppose -5*t + i = -3. Does 2 divide 5 - (t - (0 + 1))? False Suppose 0 = 3*s - 2*y - 110, 3*s - 2*y - 100 = 2*y. Does 12 divide s? False Let k = -25 + 131. Is k a multiple of 13? False Let i be (2 - (-2 - -2)) + 1. Let x = 9 - i. Suppose x*u - u - 50 = 0. Is u a multiple of 5? True Let z = 1 - -1. Suppose -z*s - s + 12 = 0. Is 7 a factor of (15/9)/(s/24)? False Let j(b) = -b**3 - 6*b**2 + 5*b + 10. Let g be j(-7). Suppose -14 = -q - 2*u, -q - g = -3*q - 2*u. Does 5 divide q? True Suppose 2*p - 183 - 153 = a, -3*a = -4*p + 670. Is 13 a factor of p? True Let m(t) = 51*t - 8. Let x(o) = 17*o - 3. Suppose -a - 4*a = 5*s - 75, 0 = 5*s + 2*a - 63. Let i(h) = s*x(h) - 4*m(h). Is 11 a factor of i(-2)? True Let w = 100 - 39. Does 6 divide w? False Let d(v) be the third derivative of v**6/120 + 11*v**5/60 - v**4/24 - 3*v**3/2 - 2*v**2. Let h be d(-11). Let j(y) = 4*y**3 + 2*y**2. Does 20 divide j(h)? True Let a(t) be the first derivative of -4*t + 2 - 1/4*t**4 - 5/2*t**2 + 2*t**3. Does 3 divide a(4)? False Let g = 26 + -15. Suppose -5*u = g - 91. Is u a multiple of 8? True Let z(b) = -b**3 - b**2 + b + 1. Let f(s) = s**3 + s**2 - 6. Let c(a) = f(a) + 2*z(a). Does 8 divide c(-3)? True Let y(o) = o**2 - 7*o - 5. Let m(w) = w**2 - 2*w + 6. Let p be m(3). Is y(p) a multiple of 6? False Let d be 4/16 - (-7)/4. Suppose 1 = -d*m + 21. Suppose 0 = j + 4*q + 10, 0*q = -2*q - m. Does 10 divide j? True Let t be (-1)/((1/2)/1). Does 7 divide 21/(-3)*(1 + t)? True Suppose 0 = s - w + 4, -2*s = 3*s - w. Let y = s + 1. Suppose -2*m + y*h + 32 = 4*h, 0 = -4*m - 2*h + 56. Is m a multiple of 6? True Let k(i) = i**3 + 10*i**2 + 8*i + 8. Is 26 a factor of k(-6)? True Let o(y) = y + 1. Let s(k) = 6*k**2 - 6*k - 5. Let d(b) = 6*o(b) + s(b). Is d(-1) a multiple of 2? False Let x(t) = 4*t - 1. Is 4 a factor of x(4)? False Let p = 0 - -2. Is 8 a factor of 1 - (p/(-1) + -6)? False Suppose -3*t + 65 + 235 = 0. Suppose -7*r + 2*r + t = 0. Is 10 a factor of r? True Let g(o) = o + 8. Let t be g(-8). Suppose t = 3*i - 5 - 4. Is i a multiple of 3? True Let q = 25 - 53. Let f = -20 - q. Suppose -c + 14 + f = 0. Is c a multiple of 11? True Let g(i) = -i**3 - 4*i**2 - 5*i - 6. Does 7 divide g(-4)? True Suppose -3*w - 16 + 121 = 0. Is w a multiple of 9? False Suppose -2*y - 3*y = 5*m - 455, 3*y = 3*m + 291. Is 20 a factor of y? False Suppose 3*n = n - 2*k + 86, -4*n + 4*k = -140. Suppose 4*v = v - 6, -n = -3*b + 3*v. Does 11 divide b? True Suppose -60 = -2*j - 4*a, 0*j - 4*j + 3*a + 120 = 0. Is 6 a factor of j? True Suppose -28 = -3*h - h. Is h a multiple of 3? False Let x(n) = -n**2 + 3*n + 6. Let s be x(6). Let g be s*(5/(-2) - 1). Suppose 0 = -w + 4*w - g. Is w a multiple of 14? True Is ((2 - 3) + 15)/((-2)/(-38)) a multiple of 10? False Let p(y) = y. Is 3 a factor of p(12)? True Suppose 4*h - 75 - 5 = 0. Does 13 divide h? False Does 26 divide -3 + 6*84/8? False Let n be (-31)/(-1) - (-2)/1. Does 4 divide ((-10)/(-15))/(2/n)? False Let f(i) = 3*i**2 - 5*i - 7. Is 11 a factor of f(5)? False Suppose -i = -4*i + 12. Suppose -i = -4*u - 0. Let x = u - -4. Is x a multiple of 2? False Suppose q + 3*t - 99 = 0, -5*q + q = t - 374. Is q a mu
{ "pile_set_name": "DM Mathematics" }
Suppose a + 47 = -5*n - 0*a, -n = 5*a - 5. Let b be 714/51 - (-14)/(-2). Let u be -2 + (b - (n + 5)). Solve 2*c = -3*z + u, -2*c - 3*z = -3*c - 13 for c. -1 Let l be 183/(-3 - 0 - -2). Let r be (-3)/18 - l/18. Let n be 4/(7 + 1)*r. Solve -5*u - n*o = -0*u + 30, 0 = -o - 4 for u. -2 Let c = 19182 - 19177. Solve 25 = -c*h, 5*y + h = 57 - 42 for y. 4 Let j be 13*60/130 - -1*2. Suppose -4*u + 4*g + 16 = 0, 9*u = j*u + 4*g + 10. Solve 2*i = 5*b, 3*i + u*i + 2*b = 29 for i. 5 Suppose -621 + 531 = -30*s. Suppose 4*r - 3 = 5*a, r - 2 = 4*a - 4. Solve -r*z + j - s = 0, 0 = 5*z - 0*z - 2*j + 6 for z. 0 Let v = -13 + 18. Suppose 3*x - 34 = -4. Let y(k) = -2121*k - 12726. Let h be y(-6). Solve h = -v*a - 3*m - x + 22, 5*a - 2*m + 8 = 0 for a. 0 Let s be (-2)/16 - (-1270)/(-80). Let x be -23*2/s + 4/32. Solve -x*m + 5 = b, 0 = -3*b - 8 - 4 for m. 3 Let d = -108 - -104. Let k be (d - 0) + 76 + -2. Let j = k + -68. Solve 0 = -j*g - 4*a, 3*a = 3*g + a + 16 for g. -4 Let g(o) = -4*o + 10. Let n(t) = -2*t**3 - t**2 - 19*t - 18. Let x be n(-1). Let v be g(x). Solve 0 = -2*p + v, -4*b + 6 = -p + 3 for b. 1 Let n be (18/(-81))/((-2)/18). Let i(a) = 5*a + 3. Let t be i(3). Suppose 19*j = t*j + n. Solve -4*h = p - j*p + 11, -4*p = 3*h - 6 for h. -2 Let l be 14/2 + (-24)/8. Suppose 4*c = -n - 4, l*n = 3*c + 2*c + 5. Solve -1 = -3*t + 4*y, n*t - 5*y - 10 = -2*t for t. -5 Let n = 51 + -47. Suppose 0*j + 25 = 5*j, 0 = -b - n*j + 24. Suppose 0 = m - b. Solve 6*h = s + 2*h - 16, 4*h + m = 4*s for s. -4 Let q = -350 - -71. Let i = q + 284. Solve 10*s - 5*s = 3*v + 6, 9 = -2*v + i*s for v. 3 Let x(t) = 5*t - 30. Let h be x(10). Suppose 0*q + h = 5*q. Suppose -q*n = -n - 6. Solve 0 = -4*k + 4*v + 12, 2 = -n*k - 5*v + 1 for k. 2 Let a = 88 - 82. Let t be a/21 - (-1)/14*24. Let f = -3 - -6. Solve 2*i + t = 2*q, -3*i = -f*q - 4*i - 9 for q. -2 Suppose 6*a + 1988 = 4802. Let x = a + -468. Solve -2*o + 5 = -5*s, 0 = -4*s + 2*o - o - x for s. 1 Suppose 113 = 14*c + 46 - 339. Solve 18 = 4*y - 3*p, c*y = 32*y + 4*p - 1 for y. 3 Let j be ((-177)/(-59))/(21/14). Solve -4*w = -3*h + 3, -2*w + 6*h - j*h = 14 for w. 3 Let b = -44204 + 44209. Solve 92*r = -u + 91*r + 1, -5*u - 25 = -b*r for u. -2 Let u(i) = -220*i - 1294. Let l be u(-6). Solve 0 = -4*y - 5*h + l, 67*h - 4 = -3*y + 71*h for y. 4 Suppose -91*o + 12*o - 12*o = 0. Solve o = -x + 4*r - 6, 0 = -3*x + 6*r - 4*r + 2 for x. 2 Let q = 928 + -887. Solve 4*l + 31 = 3*t, 5*t - q = -22*l + 26*l for l. -4 Let a be (-894)/(-8) + (-6)/(-24). Let k = a + -112. Solve q - 2 = -3*q - s, k = 3*q - 5*s + 10 for q. 0 Suppose 3*k - 4*r - 8 = 0, 4*r - r - 36 = -3*k. Let x(u) = -u**3 + 9*u**2 - 9*u + 11. Let a be x(k). Solve v - 3*c = a*v - 6, -4*c + 10 = 2*v for v. -3 Suppose -32*x = -44*x - 2364. Let h = -197 - x. Solve -3*d - 4*j + 5 = -h*j, -3*j = -5*d - 40 for d. -5 Suppose -63*c + 56*c + 504 = 0. Suppose 0 = -4*o + 8 + c. Solve -4*d + 5 = -3*k, 5*d + k - 2*k - o = 0 for d. 5 Suppose 5*k = -m - 18, -59*m + 56*m + k = -10. Solve -2*t + 4 = -2*b, -5*t - m*b = -10*t + 4 for t. 0 Let j = -71 - -76. Suppose -5*a - 2*t - t = -10, 2 = a - 3*t. Solve 0 = 5*s - j*x - 15, 3*s + 4*x + 3 = -a for s. 1 Let m = 23 - 17. Suppose w + 4*g + m = 7, -4*w + g + 21 = 0. Suppose -r + 4*d + w = 0, -2*r - 2*d + 48 + 2 = 0. Solve -r = -3*l - 3*p, -p + 9 = 2*p for l. 4 Let s(d) = d**3 - 8*d**2 + d - 5. Let l = -373 - -381. Let w be s(l). Solve k - 14 = -w*y, -8 = 2*y - 3*y - k for y. 3 Let d be (2/3)/(-2) + (-2352)/(-144). Suppose -5*o - 2*w = -3*o - d, -17 = -4*o - w. Solve 5*r = 2*p + 2*p - o, 5*p = r + 9 for p. 2 Suppose -4*z - j + 17 = 0, 12 = 236*z - 234*z + 4*j. Solve -3*v - 5*i + 37 = -0*v, -5*v - z*i + 40 = 0 for v. 4 Suppose -10*t + 2 = -18. Let u be 1*t - (-5 + 8) - -4. Solve 3*q + u*f + 16 = 7*f, -4*f + 16 = -q for q. 0 Suppose 20 = -0*v + 5*v, 2*v + 822 = -5*t. Let o = t + 166. Let s = 2 - 0. Solve -l - 3 = o, 12 = s*y + l - 3*l for y. 3 Suppose 0 = -r - 3*r + 5*f + 1091, r - 270 = 4*f. Suppose 26 = 4*u + r. Let g = -59 - u. Solve 3*z - 3 = -0*z, -13 = g*p - 4*z for p. -3 Let p(k) = 11*k - 133. Let x be p(17). Suppose 13*d + 14*d = x. Solve -o - 3 = 3*n, -d*o = -5*n - 19 + 3 for n. -2 Let c(k) be the first derivative of -k**4/2 + 3*k**3 - 3*k**2/2 - 2*k - 45. Let g be c(4). Solve 0 = -4*r - 12, g*q = -2*q + 5*r + 31 for q. 4 Let u be ((-25)/30*-2)/(5/6). Suppose -2*m - u*m = 5*h - 37, 0 = m - 3. Solve -f + 9 + 8 = -3*r, 0 = 5*r - h*f + 45 for r. -4 Let k(z) = -4*z**2 + 143*z - 272. Let v be k(32). Solve 2*a + 4 = 0, -204*a = 3*m - v*a - 11 for m. 1 Let q be (40/15)/((-4)/(-6)). Suppose 585*p - 564*p = 42. Let n be 8/6 + (-6)/(-9). Solve 0*g + n*k + p = -4*g, 20 = -q*k for g. 2 Let c be ((-3 - -8) + -4)/((-2)/318). Let i = 159 + c. Solve i*g = -2*g - 2*d + 2, -16 = -g + 4*d for g. 4 Let q(r) = -7*r + 100. Let n be q(-14). Let j = -193 + n. Solve 0*b + b = 4*s - 9, 4*s - j*b - 13 = 0 for s. 2 Let y(n) = -2*n**3 + 28*n**2 + 37*n - 816. Let k be y(13). Solve -s - 4 = k*s, 2*i = 3*s + 11 for i. 4 Let g(h) = h + 33. Let m be g(16). Let q = -43 + m. Let a(u) = u**3 + 16*u**2 + 26. Let w be a(-16). Solve -3*b - 3*k - q = 0, -4*k - w = -2*b - 0*k for b. 3 Let r = 5262 + -5250. Solve -5*i + 10 = 0, 0 = -r*m + 9*m + 5*i - 16 for m. -2 Let u(q) = q**3 - 4*q**2 - q + 7. Let w be u(2). Let f be (w/((-30)/76))/(4/10). Solve 5*d + 2*z - f = 0, -2*d + 8 = z - 0*z for d. 3 Suppose -p + t = 0, 589 = -4*p - 4*t + 613. Solve -6*r - 6 = -3*u - p*r, 0 = 2*u + 4*r - 4 for u. 2 Let p(c) = -c**2 - 32*c - 163. Let q be p(-7). Solve -3*t - 19 = 4*a, 0 = -t + 4*a + 3 + q for t. -1 Suppose 0 = 3*y - 7*y - 584. Let g = y - -157. Solve 3*h - c + g = h, 0 = h - 5*c + 10 for h. -5 Let b(p) = -2*p + 40. Let m(u) = -4*u - 48. Let n be m(-17). Let y be b(n). Suppose y = 39*h - 40*h + 5. Solve h = 5*z - 3*v, 3*z - v + 4 = 3 for z. -2 Let s be (-870)/(-240) + 3/8. Suppose -j + 0*j + 11 = s*b, 5*b = -j + 15. Suppose -2*q + 6*q = 4. Solve 0 = a - 6 + q, l = -b*a + 21 for l. 1 Suppose -60*m = -63*m + 4*o - 26, 0 = 3*m - o + 2. Solve -m*z + 8 = 3*q - 10, 4 = 2*q for z. 6 Let g = 301 - 236. Let s = 69 - g. Solve -s*d = 4, 3 - 9 = -3*b + 3*d for b. 1 Let i be (-90)/40*(-72)/81. Solve 0 = -i*u + 3*u - 4*t + 14, 3*u = -4*t + 22 for u. 2 Let j = 152 - 158. Let r(w) = -11*w - 63. Let h be r(j). Solve 5*g = -3*i - 16, h*g + 5 + 3 = -i for i. -2 Let c = -91 + 165. Let m = 74 - c. Suppose -84 = -m*x - 6*x. Solve x = -5*a + 2*d, -3*a - 3*d = 34 - 13 for a. -4 Suppose 5*a - 1110 = -5*u, -8 = u - 9. Let d = a - 201. Solve -6*w + 4*w = -4*g - 22, -w + 5*g = -d for w. 5 Suppose -3*b - t - 1174 = -1494, 0 = 5*b + 4*t - 545. Solve a + 2 = 2*o, -3*o + b*a - 11 = 100*a for o. 3 Let y = -11558 - -11580. Solve -5*p = -4*c - 15, -y = 4*c - p - 3 for c. -5 Let t be ((-30)/570 - (-885)/(-513))*-9. Solve -3*x = 5*i + t, -2*i - 3*x - 5 = 5 for i. -2 Suppose h + 3*u - 17 = -0*u, 29 = 3*h - 2*u. Let a(w) = -w**2 - 74*w + 491. Let q be a(-80). Solve q = -3*v + f, -3*f + h = 3*v - v for v. -2 Suppose -32*q = -2*q - 120. Suppose -3*t = -2*x - 7, 0 = q*t + t - 4*x - 11. Solve d = 4*d - 3, -5*d = -t*i + 7 for i. 4 Let u = 683 - 1109. Let t = -423 - u. Solve -t*h = k + 10, 5*h = -3*k - k - 5 for h. -5 Suppose -130 + 213 = 4*x - 281. Solve i - x*s + 4 = -95*s, 0 = 5*i + 3*s + 20 for i. -4 Let s = -13909 - -13912. Solve -3*k - s*z - 9 = 0, 3*z - 11 = 42*k - 40*k for k. -4 Let b(q) = -4*q**2 + 22*q + 8. Suppose -6*f - 40 = -70. Let z be b(f). Solve 0 = 2*p + 2*n - z, -2*p + 2*n = -n + 7 for p. 4 Let m be 3009/33 - 10/55. Let k = -99 + m. Let a be k/(-28)*(1 - -6). Solve w = 2*w + a*z + 6, 3*w + 2*z = -10 for w. -2 Let p(n) = 9*n**2 - 12*n + 128 - 14*n**3 + 13*n**3 - 131. Let m be p(7). Solve -3*w + 2*x + 10 = 0, -2*x - 3 = -4*w + m for w. 4 Let x be 1 - (33/(-27) - 8/(-36)). Suppose -x*o + 2*p - 142 = 0, 5*o + p + 379 = -0*o. Let w = o - -80. Solve 2*v - 10 = l, -w*v + v = -5*l - 26 for l. -2 Let t = 183 - 114. Let y = t + -67. Solve y*r = -6, 0*r = -3*m - 3*r - 15 for m. -2 Suppose -2*s + 8*s = 0. Suppose -d + 363 - 359 = s. Solve -36 = d*u - 0*u + 4*f, 3*f = -12 for u. -5 Let r = -3948 + 3952. Solve -a + r*l = -6, 17 - 11 = -5*a + 2*l for a. -2 Let r(n) = -19*n + 664. Let d be r(34). Solve 0 = 29*i - 25*i - 2*o + d, -2*o = -5*i
{ "pile_set_name": "DM Mathematics" }
r**2 - 6*r - 7. Let p be b(7). Suppose 18 = 3*m + 2*z - 4*z, -2*m - 2*z + 22 = p. Suppose -m + 30 = 2*c. Is c a multiple of 11? True Let g(j) = j**3 + j**2 + j - 1. Let m be g(1). Is 2 a factor of 7/(-2)*(-4)/m? False Suppose -5*m + 295 = 5*r, -174 = -2*r - r - 4*m. Is r a multiple of 15? False Let m = 163 - 97. Is 22 a factor of m? True Does 35 divide (-154)/(-4) + 5/(-10)? False Let w(k) = -k**3 - 2*k**2 - 6*k. Suppose -4*n - 5*s = 45, -30 = 2*n - n + 5*s. Is w(n) a multiple of 35? True Suppose 7*x - 15 = 2*x. Suppose 0 = -x*t - c + 4, 0 = -c - 2. Is t even? True Let t = 3 + -1. Let g = 1 + t. Let k = g - -17. Is 14 a factor of k? False Let r be 2/3*(-3)/1. Let i(n) = -2*n**3 - 2*n. Is 10 a factor of i(r)? True Suppose 4*x = 3*h + 425, 167 = 2*x + 4*h - 73. Let v(w) = -w + 1. Let m be v(-2). Suppose 8*t = m*t + x. Does 11 divide t? True Let l(w) = 6*w + 2. Suppose 5*v + 2*v - 35 = 0. Is l(v) a multiple of 16? True Suppose -3*r - 3*g + 354 = 0, -g + 625 = 5*r - 3*g. Is 31 a factor of r? False Let f(a) = 19*a**2 + 5. Suppose p = -67 + 25. Let z(w) = -161*w**2 - 42. Let d(u) = p*f(u) - 5*z(u). Is 7 a factor of d(-1)? True Let c be 7*(-1 + 2) + -1. Let i be c*(0 - 1)*1. Is 18 a factor of ((-3)/i*-106)/(-1)? False Let m(w) = w**3 + 6*w**2 - 5*w - 8. Let f(i) = -3*i**3 - 11*i**2 + 10*i + 15. Let l(d) = 2*f(d) + 5*m(d). Let c be l(7). Is 5 a factor of (-3 + -15)*c/(-6)? False Suppose -3*u + 134 = 2*j, j - 3*u + u - 81 = 0. Does 14 divide j? False Let p be (10/3)/((-8)/(-372)). Let k = p + -98. Is k a multiple of 19? True Let t(i) = i**3 - 4*i**2 + 2*i + 3. Let y be t(3). Let p(f) be the third derivative of -f**5/60 - f**4/24 + 5*f**3 + 2*f**2. Does 15 divide p(y)? True Suppose -26 = 2*c - 206. Is (20/(-25))/((-2)/c) a multiple of 12? True Suppose -j - 15 = -2*j. Let d = -18 + 26. Let f = j - d. Does 6 divide f? False Let s(z) = -z**2 + 6*z - 3. Suppose -4*c - j + 29 = 2*j, -25 = -2*c - 5*j. Let t be s(c). Suppose t*p - 124 = -22. Is p a multiple of 13? False Let c = -72 - -108. Let x = c - 7. Is 12 a factor of x? False Let n(l) = -2*l**3 - 5*l**2 - 3*l. Let i(s) = s**3 - 7*s**2 + s - 10. Let y be i(7). Let x be n(y). Let k = 8 + x. Is 10 a factor of k? False Suppose -2*g - 4*z = g - 53, 2*g = -z + 37. Suppose 0 = 3*j - g - 62. Is j a multiple of 9? True Let z be -5 + 3 + 2 + 2. Suppose 3*k + 4*f - 34 = 0, -k + z*f = f - 23. Is 9 a factor of k? True Let l = 302 + -215. Suppose -4*u + 5*v - l = 0, 0*u - 4*v - 78 = 5*u. Let p = u - -36. Does 12 divide p? False Suppose 3*i - 5*d = 4*i - 29, -154 = -4*i - d. Suppose 0*m + i = 3*m. Is m a multiple of 13? True Let g(s) = -82*s. Let i be g(-4). Let p = i + -103. Suppose 0*o = 5*o - p. Is 16 a factor of o? False Suppose 3*b - 14 = 1. Suppose 3*a + 20 = b*a. Is a a multiple of 7? False Let y = 77 + -36. Is 26 a factor of y? False Let t be (-2)/8 - 2/(-8). Suppose t = 3*r + 5*v - 41, 0 = 4*r - v - 2*v - 45. Does 9 divide (-8)/r + (-29)/(-3)? True Suppose -2*l = 5*i + 12, l = -4*i - 0*l - 12. Let g(j) = 2*j**2 + 4*j - 2. Is g(i) a multiple of 7? True Let d be -2 - (-1)/(-3 - -2). Let m = d - -6. Suppose s = m*q - 5, 5*s + 0*q - 65 = -3*q. Is 5 a factor of s? True Let h(d) = -d**3 + 18*d**2 - 9*d - 12. Does 11 divide h(17)? False Let f be -34 + 5/(10/(-4)). Let n = f + 52. Suppose -n = 4*t - 68. Is t a multiple of 6? False Suppose 11*w = 8*w + 63. Is w a multiple of 7? True Does 2 divide (2 - -14*3)*1? True Suppose 4*g - 4*r - 100 = 0, 6*r - r + 105 = 4*g. Suppose 2*k - 2 - g = 0. Suppose k = 4*b - 5. Is b a multiple of 3? False Suppose 15 = 3*z, 2*r = -0*r - 3*z + 33. Is 7 a factor of r? False Let t = 7 - -70. Suppose 3*g = t - 23. Is g a multiple of 9? True Let y(r) = r + 16. Is y(-7) a multiple of 5? False Let x(c) = 8*c**2 + 53. Does 31 divide x(6)? True Let n = 17 + -8. Suppose -d - 3*g = -0*g + n, 2*g - 2 = -2*d. Is d a multiple of 3? True Suppose -v + 4*b = -2*v + 72, 3*v - 216 = 2*b. Is 12 a factor of v? True Suppose 3*g = -5*q + 123, 73 = 4*q - q + 2*g. Let x = q + 22. Does 13 divide x? False Suppose -q + 3 = 6. Let c = 6 + q. Is c a multiple of 2? False Let p(q) = 104*q - 2. Let h be p(1). Let d = h - 58. Does 11 divide d? True Suppose -4 = -x - 2. Suppose 5*b - 152 = 4*a, -x*a = 2*b - 4*a - 62. Let q = -20 + b. Is q a multiple of 3? False Let a = -7 - -7. Suppose -3*h + 2*h + 28 = a. Does 14 divide h? True Let n(l) = l**3 + 10*l**2 + 9*l + 8. Let u be 2/(2 + 0 + 0). Let g be u/2 + 38/(-4). Does 3 divide n(g)? False Let a(h) = -h**2 + 5*h + 6. Let v be a(6). Suppose 0*q + q - 48 = v. Suppose o - 36 = -3*i + 5*o, 0 = -4*i - o + q. Does 12 divide i? True Suppose -2*q + 40 = s, -2*q + 4*s + 4 = -46. Does 7 divide q? True Suppose -3*h = -12, 6*s + 2*h - 378 = s. Is 3 a factor of s? False Let g(i) = i - 4. Let d be g(6). Let v(s) = -3 - 2 - s + d. Is v(-5) even? True Let u(c) = -c**2 + 31*c + 19. Let f(x) = -6*x - 4. Let s(g) = -11*f(g) - 2*u(g). Is s(-5) a multiple of 16? False Let l = -3 + 12. Let p(h) = h + h**2 + 7 + 1 + l*h. Does 5 divide p(-10)? False Let d(g) = -10*g**2 - 2*g + g**3 + 2*g. Let k be d(10). Suppose k = -3*q + 4*j + 98, 2*j = -q - 0*q + 46. Is q a multiple of 21? False Let o = 14 + -10. Suppose o*w - 4 = 4*x, 2*x - 6*x + w = -8. Is 3 a factor of x? True Suppose -4*h + 68 = -96. Does 10 divide h? False Suppose 0 = f - 2*z - 125, 4*f + 27 = -z + 500. Is f a multiple of 17? True Let o be (-1)/((-2)/4) - -3. Suppose 2*l + o = 3*l. Suppose 2*t + 4*h - 8 = 0, 57 = 3*t - 4*h - l. Is t a multiple of 10? False Let q be 40/6 - 5/(-15). Let x(d) = -3*d**3 + d + 4*d**3 - 2*d**2 - q*d**2 - 4 + 0*d**2. Is x(9) a multiple of 5? True Let b = -92 + 12. Let i = -56 - b. Is 8 a factor of i? True Let x(t) = 8*t - 6. Let m be x(6). Suppose 10 = -4*y + m. Is y a multiple of 8? True Suppose m + 1000 = 5*m. Suppose 110 + m = 5*k. Suppose 3*i = i + k. Is 20 a factor of i? False Let r(b) = b**3 + 10*b**2 + 8*b - 2. Let y be r(-9). Suppose 3*v + 6*z = 3*z + 9, 4*v = -3*z + y. Is (174/(-9))/(v/3) a multiple of 14? False Suppose 0 = -3*i + 9 + 18. Is 17 a factor of (-912)/(-27) - (-2)/i? True Let i = 0 + 5. Suppose -i*p + 46 = 6. Is p a multiple of 8? True Let a be -1477*(-1 - 0/(-2)). Let q be a/77 - (-4)/(-22). Is (1 + -2)*(1 - q) a multiple of 9? True Let n(q) = q**2 - q - 2. Let c be n(3). Suppose -d - 5 = 3*m, -c*d + 3*d = -5*m + 5. Suppose 5*x + 5*b - 155 = m, -3*x - 4*b - 46 = -144. Is x a multiple of 11? False Let d(k) be the third derivative of -k**4/8 - 3*k**3/2 + k**2. Is 4 a factor of d(-6)? False Let o(h) = h**2 + 7*h - 9. Suppose -4*y = 2*t, 20 = -0*t - 4*t - 3*y. Let d be o(t). Is 8 a factor of d/(-2)*2*16? True Let n(z) = -7*z + 6. Is n(-5) a multiple of 28? False Suppose -3*f - 2 = -t + 21, 79 = 3*t + f. Does 26 divide t? True Let k be 305/20 - 1/4. Let b be 50/k*(-15)/2. Let f = b + 40. Is 4 a factor of f? False Let u(s) = 17*s**2. Let n(a) = a**3. Let f be n(-1). Is 17 a factor of u(f)? True Let r(f) = -4*f**2 - 12*f + 8. Let d(i) = -7*i**2 - 25*i + 16. Let y(o) = 3*d(o) - 5*r(o). Is 11 a factor of y(-14)? True Suppose -5*y = 5, u + 10 - 50 = -3*y. Does 11 divide u? False Suppose -2*z = l - 8, -5*z - 5 = -3*l - 14. Let i = z - -11. Does 14 divide i? True Let s(p) = p - 1. Let z be s(-1). Is 9 a factor of (38 + -3)*(-1 - z)? False Suppose 0 = -2*h + 2*b - 70, -3*h + 4*b - 97 = 3*b. Let j = h - -91. Is 16 a factor of j? False Suppose -29 = -m + 27. Is 21 a factor of m? False Let y(m) be the second derivative of 11*m**3 + m**2/2 - m. Let d be y(1). Suppose -5*t - d = -4*p, 14 + 36 = 3*p - 4*t. Is p a multiple of 15? False Suppose -7*z + 268 = -4*z + w, 0 = -5*w + 5. Does 21 divide z? False Suppose 6*j - 5*j = 0. Suppose 5*k + j*k - 10 = 0. Suppose -5*r - 2*a = -2*r - 49, 0 = -r - k*a + 15. Is 17 a factor of r? True Does 16 divide (-6)/((-1)/2*(-4)/(-48))? True Let m(t) = t**2 - 9*t + 6. Let u be m(8). Let q = u + 8. Suppose c - q = -c. Is 2 a factor of c? False Let j be (-4)/(-12)*(2 - 2). Suppose 3*r - 3*f - 72 = j, -5*f + 2*f - 91 = -4*r. Does 8 divide r? False Let n(t) be the first derivative of 2*t**3 + 2*t**2 + 4*t - 8. Does 23 divide n(-3)? True Suppose -11*i = -82 - 149. Does 21 divide i? True Suppose -3*p = -7 - 5. Suppose -f = -3*c, -2*f = -p*f + 4*c + 2. Suppose -q + 4*u = 3*q - 8, f
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
+ 3. Solve c - i*c - 1 = 0 for c. -1 Let f(x) = x**2 - 3. Let h be f(-2). Let z be 0/(h/((-4)/(-8))). Solve 2*i - 4 + 6 = z for i. -1 Let v(u) = -3*u - 3. Let z be v(-2). Suppose -5*m + z*g - 18 = -6, 3*m - 12 = -3*g. Solve m*o + 1 = -o for o. -1 Suppose -5*b + 9 = -3*x, 5*b + 0*x = 5*x + 5. Let m(l) = 4*l - 3. Let n be m(b). Solve 1 + n = 2*c for c. 5 Let a(k) = -3 + 3 - 9*k - 2. Let p be a(-2). Let z be 3 + 2 + (-4)/4. Solve z = 4*x + p for x. -3 Let t be (4 + 48/(-20))/(2/5). Solve 2*f = 4*f - t for f. 2 Let s be (-1 + 0)/(11/(-33)). Solve s*n = -n - 20 for n. -5 Let t be ((-9)/18)/(3/(-42)) - 4. Suppose -5*r + 5 = -5. Solve -1 = r*f - t for f. 1 Let u(f) = 5*f**2 + 2*f + 1. Let d be u(-1). Suppose -4*k + 8 = 3*x - d, 0 = 5*k + 5*x - 20. Suppose k = -o - 2 + 4. Solve -3*j - o = -8 for j. 2 Let f(r) = 6*r + 22. Let h be f(-3). Solve -3*j + h = j for j. 1 Let l = -3 + 6. Let s = -1 + l. Solve -9 = -s*u - 1 for u. 4 Suppose 3*u - 29 = -4*v, 0 = 2*v - v + 4*u - 4. Suppose 4*o = -w + 2*w + v, -3*o = -w - 6. Solve o*m = -2*m - 12 for m. -3 Let r(x) = x**2 - 3*x**2 + x**2 - 4*x. Let y be r(-3). Suppose y - 11 = -4*k. Solve k*h + 8 = 4*h for h. 4 Let f = 0 - 3. Let q be -2 + 4 - (-1 + 1). Let u = q - f. Solve 4 + u = 3*c for c. 3 Let t(p) = p. Let o be t(6). Let a = o + 14. Solve 0 = -5*g - 0*g + a for g. 4 Suppose -3*q + 3*r = 3, r = -3*q - 2*r + 15. Suppose 6 = q*l - 2. Solve l*y - 5*y - 1 = 0 for y. -1 Let s = 11 + -6. Solve s = 4*p + 1 for p. 1 Suppose -2*g + 14 = 4*b, b - 2*g = -2 - 2. Suppose b - 6 = -2*l. Suppose 4*x = l*x. Solve 2*j - 5*j + 3 = x for j. 1 Suppose -9 = n + 2*n, -5*f + 55 = -5*n. Suppose 2*t - f = -2*o, 5*o - 3*t = -t + 6. Solve 0 = o*y + 2*y for y. 0 Let c(s) = s**2 + s**3 + 18 - 4*s + 12*s**2 + 5*s. Let x be c(-13). Solve 2*z = x - 13 for z. -4 Suppose 3*t - 3*v = 114, 2*t + 118 = 5*t - 2*v. Suppose k = -5*s + 39 + 60, -2*s + 2*k + t = 0. Solve 0 = 4*i + s for i. -5 Let z(h) = h**2 + h + 2. Suppose -g - 5*b = 27, -2*b - 2 = -3*g + 2. Let n be z(g). Solve 3*i = n*i - 5 for i. 5 Let c be -3 - 5*(0 + -1). Solve 4 = -c*a - 4 for a. -4 Let b(q) = 3*q + 7. Let y(p) = -4*p - 6. Let c(x) = -3*b(x) - 2*y(x). Let f be c(-9). Solve f*s + s = 3 for s. 3 Let o(r) = 2*r**3 - 13*r**2 - 6*r - 7. Let f be o(7). Solve 10*n - 5*n - 10 = f for n. 2 Let q be 192/30 - (-2)/(-5). Solve -y + q = y for y. 3 Let q(b) = -b**2 + 11*b - 8. Let s be q(7). Suppose 3*l = 0, -3*l + s = -3*d - 4. Let p = -3 - d. Solve 2*k - p = -13 for k. -4 Let b(t) = -t**3 + 9*t**2 + 2. Let c be b(9). Solve 0 = -c*o - 4 - 4 for o. -4 Let k be 8/(-2) - -2*2. Solve -4*v + 0 + 20 = k for v. 5 Let u(a) = -6*a + 1. Let m be u(1). Let l = m + 9. Solve 0 = -s + l for s. 4 Suppose -98*k = -93*k. Solve 5*o - o = k for o. 0 Let c = 19 + -17. Solve -c*q - 15 = 3*q for q. -3 Let q be (-90)/(-11) - (-4)/(-22). Suppose 0 = 5*f - 3 - 17. Suppose 0 = -f*x - 4*d + 40, -d - 3*d + 20 = 0. Solve 0 = x*c - q - 7 for c. 3 Suppose 5*k + 5 = -m - 2, -4*m + 8 = 2*k. Suppose 29 + 40 = m*y. Solve 5*j = -y - 2 for j. -5 Let z(w) = 2*w**2 + 8*w - 10. Let g be z(-5). Solve 4*d + g + 16 = 0 for d. -4 Suppose 10*k - 15 = 5*k. Let f(d) = d**2 - 7*d + 6. Let r be f(6). Solve r = -z - k*z - 16 for z. -4 Suppose -7*w + 72 = -3*w. Suppose -5*a + w = 3. Solve a*s = -s for s. 0 Suppose -2*x + 3*v - 9 = 0, -x = -0*v + v - 8. Solve -12 = 6*r - x*r for r. -4 Let f = 103 + -98. Solve -f*q = -0*q + 25 for q. -5 Let h(p) = 3*p. Let z = -7 - -5. Let w be h(z). Let j be (-38)/w + 7/(-21). Solve -v + 1 - j = 0 for v. -5 Let s = -2 + 11. Let h be (-1)/((-3)/s) - -2. Solve 0*z - h*z = -10 for z. 2 Suppose -h - 5*q + 16 = 0, 2*h - 2 = 2*q + 3*q. Let n(w) = 2*w - 6. Let s be n(4). Solve 0*r = s*r + h for r. -3 Let d be ((-1)/(-2) - 0)*2. Suppose 7 = s - n, -s - 3*n = -5*s + 23. Solve o + s = -d for o. -3 Let q = 2 - 0. Solve -8 - q = 5*n for n. -2 Let q(z) = -7*z**3 - 4*z**2 + 11*z + 3. Let t(u) = -6*u**3 - 4*u**2 + 10*u + 2. Let n(w) = 5*q(w) - 6*t(w). Let g be n(-5). Solve g*j + 0*j - 6 = 0 for j. 2 Let r(k) = 2*k**3 - 5*k**2 - 3*k + 2. Let z be r(3). Solve -3 = z*f - 7 for f. 2 Let u(w) = w**3 + 4*w**2 + 2*w + 2. Let z be u(-2). Solve z = -5*n - 4 for n. -2 Let p = -1 + -2. Let k = 5 + p. Solve -3 = -k*j + 3*j for j. -3 Suppose 2*q = -5*t + 9, 5 = -0*q + 2*q + t. Suppose 0 = q*z + 4*j - 22, 4*z - 5*j = 3*z - 17. Solve -2 = -z*w + 4 for w. 2 Let c = -53 + 56. Solve 2 = c*k - 1 for k. 1 Let x(b) = b**3 - 16*b**2 + 16*b - 15. Let m be x(15). Suppose m = -4*s - 0*s. Let i = 0 + 15. Solve s*f - i = 3*f for f. -5 Let b(y) = -1 - 5 + 0 - 3*y + 0*y. Let l be b(-4). Solve 3*q + l = -0*q for q. -2 Suppose -3*h + 9 = -3. Let r be h/(-10) + 54/10. Suppose -5*q = -4*q + r, -3*q - 40 = -5*w. Solve b = -0*b + w for b. 5 Let f = -11 - -20. Let u = -6 + f. Let b be (-168)/(-36) + 2/(-3). Solve u*a - b*a + 1 = 0 for a. 1 Let q = 14 - 6. Let d = q - 5. Solve 0*u = d*u for u. 0 Let y be (-21 - 0) + (5 - 4). Let t be (-2 + -4)/(6/y). Solve -7*v = -3*v - t for v. 5 Suppose h + 1 = -1, h - 22 = -4*a. Solve -4*o - a = -o for o. -2 Let t be (-6)/(-33) - 40/(-22). Let a(g) = g**3 - 2 - 4*g**2 - g + 6*g**2 - 4*g**2. Let i be a(3). Solve i*w - t*w = 4 for w. 2 Suppose 0 = 4*q - 5 + 1. Let k = 1 - q. Let p be 22/8 - (-24)/(-32). Solve k = -p*l - 2*l - 12 for l. -3 Let f = -2 + -2. Let i be (-46)/(-11) - f/(-22). Suppose -2*s + i*s = 0. Solve -b = -s*b for b. 0 Let d = -4 - -4. Suppose 2*v - 12 = -d*v. Solve 2*g - v*g + 4 = 0 for g. 1 Let s be (1 - -8*3) + 2. Suppose 2 - s = -5*n. Let c be (-30)/9*81/(-45). Solve n*q + c = 1 for q. -1 Let m = 7 - 3. Suppose -5*s + m*h = 3*h - 23, -16 = -s + 4*h. Solve s*a = -0*a - 8 for a. -2 Let q(l) = l + 3. Let j be q(2). Solve -3*p - 2 = -j*p for p. 1 Suppose -2*z - 136 = 2*z. Let i = -24 - z. Let t = 86 - 81. Solve -t*y + i*y - 20 = 0 for y. 4 Let w be (-3)/((-27)/(-30))*-3. Solve -w - 10 = 4*f for f. -5 Let z(p) = 3*p**2 + 15*p + 1. Let x be z(-5). Solve 4*r + 15 = -x for r. -4 Suppose 2*r + 4*f = -r - 4, -3*r - 3*f = 0. Let i be -1 - (2 - r - 0). Suppose 3*o = 4*k - i, 2 = 2*o + 2*k - 16. Solve 5 = -0*g - o*g for g. -1 Let z = 18 + -12. Let h = -6 + z. Suppose 0 = -h*f - f. Solve -3 = -f*o - 3*o for o. 1 Let x = -1 + 6. Suppose n = -2*n + 9, -x*n + 11 = -c. Let b = 1 + c. Solve -4*y - y = b for y. -1 Let d = -10 - -16. Let l be (-23)/(-7) - d/21. Solve -6*o - 12 = -l*o for o. -4 Let o(a) = -a**3 - a**2. Let f be o(-2). Let s = -2 + f. Suppose -s*c - 5*h + 1 + 1 = 0, h = 3*c - 3. Solve -3*w + 16 = c for w. 5 Let g(q) = q. Let y be 75/(-10)*12/(-10). Let a be 21/y + 3/(-9). Let h be g(a). Solve h*f + 2 = -4 for f. -3 Let v(z) = z - 5. Let k(b) = -13*b - 1. Let g be k(-1). Let y be v(g). Solve -2*l = -y - 1 for l. 4 Suppose -20 = -5*v + 10*v. Let i = v - -5. Solve -i = -n + 3 for n. 4 Let d = 5 + -7. Let s be ((-3)/(-5))/(d/(-10)). Suppose s*c = 2*c. Solve -p - 3 = -c for p. -3 Suppose -10*p = -6*p - 36. Solve 0*q + 3*q + p = 0 for q. -3 Let f be ((16/(-4))/(-4))/1. Suppose 0 = 8*y - 4*y - 36. Solve y = -4*v + f for v. -2 Let m(w) = -3*w**2 + 41*w - 26. Let c be m(13). Suppose -l + 0*l = 0, 2*v + l - 10 = 0. Solve -v*f = -c*f for f. 0 Let v = -9 - -26. Suppose 0 = a - c - 3, -3*a + v = 4*c - 6. Solve -a = 3*g + 4 for g. -3 Let p be (1/2 - 1)*0. Let i(u) = u**3 + 3. Let d be i(p). Suppose -d*x - a = -14, 5*x + 0*a = 4*a + 46. Solve -x*v = -3*v + 12 for v. -4 Let v be (-86)/(-24)*3 + 3/(-4). Solve -h + v = -6*h for h. -2 Let k be ((-2)/(-3)*6)/(-2 - -3). Solve 5*b = k*b for b. 0 Let n(f) = f**3 + 2*f**2 + 4*f + 6. Let x be n(-3). Let c = x - -17. Solve -b = c*b - 15 for b. 5 Let b be 15/(-20) - 81/(-12). Suppose 22 + b = 4*t. Solve t*w - 2*w = 20 for w. 4 Let o(n) = n**2. Let l(b) = b - 4. Let w be l(3). Let a be o(w). Let f(c) = c - 1. Let r be f(a). Solve r = -4*k + 6*k + 8 for k. -4 Let f(a) = 5*a - 23. Let u be f(5). Solve -u*g + 0 - 2 = 0 for g. -1 Let k(w) = -w**2 + 7*w - 3. Let g be k(6). Let b = 4 + 13. Solve 4*r + g + b = 0 for r. -5 Let f be 6/4*(-4)/6. Let n = 0 + f. Let k be n + -1 + 5 + -1. Solve 3*v = v + k for v. 1 Let t(i) = -i**3 - 3*i**2 + i. Suppose 4*u - 5*h + 9 + 3 = 0, 4*u + 12 = 2*h. Let y be t(u). Let g(k) = -3*k + 3. Let d be g(y). Solve 2*v - 2 = -d for v. -5 Let n(j) = -j**2 + 11*j
{ "pile_set_name": "DM Mathematics" }
- h - 2. Let q be j(3). Let x = 71 + q. Suppose 3*r - 2*a = -7*a + 2227, -x*r = -4*a - 2209. Is r a composite number? False Let d = 2 - 5. Let o be (-1 - d)/(2/(-3)). Is 1/(9/o)*-291 a prime number? True Suppose 46*c = 37*c + 99783. Is c prime? True Let c = -29 + 34. Suppose 2 + 2 = 3*r + s, -20 = -2*r - c*s. Suppose -14*f + 8*f + 426 = r. Is f a prime number? True Let c(y) = -1. Suppose 0*k = -2*k + z - 5, 5*z + 7 = 2*k. Let j(a) = 26*a + 15. Let m(i) = k*c(i) + j(i). Is m(12) composite? False Let s(z) = -z**2 + 15*z + 58. Let k be s(18). Suppose k*y + 5*u - 33 = 0, -y - 5 = 5*u - 32. Suppose -2*p + 7319 = p - 4*j, 2433 = p + y*j. Is p a prime number? True Suppose j + 5*t + 133741 = 1286125, t - 2304723 = -2*j. Is j composite? True Is (-1 - -1) + 68005 + -472 + 474 a composite number? True Let p(u) = u**3 - 4*u**2 + 15*u - 5. Let f be 2 + 9 - (-3 + 2). Is p(f) composite? False Suppose -2*p - 4*v + 22 = -0*v, 3*p + 4*v - 37 = 0. Suppose 14*f - p*f - 93 = 2*y, -284 = 3*f + y. Is -3*(3 + f/15) prime? False Suppose -83258390 = -160*u + 114*u. Is u composite? True Suppose 149708 = -15*x + 14*x. Is (1/(-4))/(13/x) prime? True Suppose 4 = 4*i, 2*a - 6 - 7 = 5*i. Is 6*(-21)/14*(-20477)/a composite? False Suppose -262 - 6803 = -9*f. Let i = f + -484. Is i prime? False Let p = 65 - 66. Let r(f) = 66107*f**2 - 3*f - 2. Let s be r(p). Suppose -v = 11*v - s. Is v a prime number? False Suppose -8 = 2*k, 7*m = 5*m + 3*k. Let j(t) = 287*t**2 - 2*t + 25. Let a be j(m). Suppose -a - 11161 = -10*n. Is n a composite number? False Let d be 13/(-39) - ((-7744)/3 - -2). Let m = 151 - 147. Suppose m*p = 3*p + d. Is p a composite number? False Suppose 49*r = -24*r + 93*r - 2034660. Is r composite? True Let n = -2 - -4. Let t be 1/(n/(-23)*(-1)/698). Suppose -12 = 3*y, 2*y = 4*o - t - 393. Is o a prime number? False Is 79377/(-4)*(-1068)/267 a composite number? True Let i = -68 + 76. Let n(s) = -s + 58. Let a be n(i). Suppose -a - 61 = -l - 5*k, -110 = -l - 4*k. Is l a composite number? True Suppose -8*o - 1071219 = -3568091. Is o a composite number? True Let c(z) = z**3 + 15*z**2 - 10*z + 98. Let p be c(-16). Let k(l) = 3872*l**2 - 2*l - 3. Is k(p) prime? False Suppose 65*u - 246796 = 64*u + 5*i, 740488 = 3*u + 5*i. Is u prime? False Let q be (-75)/(1 + 4)*(-2 - -1). Let m(a) = 107*a + 52. Is m(q) composite? False Let o be 3 + (-1 + -7 - 177). Let y(s) = -1358*s**2 - 2*s + 1. Let m be y(1). Let h = o - m. Is h prime? False Is 6/(-1) - (-26599 + 5)*(-4)/(-8) prime? True Let d be (16/(-6))/(1/(-516)). Suppose -5*v - d = -8*v + k, 0 = 3*v + k - 1372. Is v composite? True Suppose 2883*p - 2937*p = -1980415 - 3940739. Is p a prime number? False Let n(u) = 3*u**3 - 6*u**2 + 5*u - 18. Let o be n(6). Suppose 44359 = -437*q + o*q. Is q a composite number? False Let m = -61954 - -88859. Is m a composite number? True Suppose -k + 1709 = -3*b - 5551, -21806 = -3*k - 4*b. Let n be 248/(-62) + 4057/(-1). Let z = n + k. Is z prime? False Suppose 0 = -87*k + 101*k - 10451294. Is k prime? False Is 74/(-925) - (-1025385)/125 composite? True Let q be -2 - (78/(-13))/(6/4). Suppose -5*z + 8 = q*h - 14, -2*h - 8 = 0. Is (1 - -3246) + -6*(-4)/z a prime number? True Let q(d) = -11 + 0 + 90*d - 12. Let p be ((-20)/(-70))/(1/35). Is q(p) a prime number? True Let v = -12 - -17. Suppose 12984 = -v*b + 33069. Let h = b + -2656. Is h composite? False Let p be (-3)/(-3)*(-5)/(-3)*-3. Let u be 4/1 - (2 - p). Is u*-892*(-1)/(-6) a composite number? True Suppose 3*x + 458 = 2870. Suppose 167*t - x = 163*t. Is t a composite number? True Let q(x) = 31*x**2 - 18*x + 46. Let y(t) = 63*t**2 - 38*t + 91. Let v(j) = 13*q(j) - 6*y(j). Is v(23) a prime number? False Let t(o) = -o**2 - 15*o - 50. Let m be t(-6). Suppose m*p - 5*k = 6744, 12*p - 5*k = 14*p - 3402. Is p a prime number? False Let i(f) be the first derivative of 319*f + 4 + 1/2*f**2. Is i(0) prime? False Let x = -33 + 35. Suppose -v + 3*y - 95 = 0, 2*v - 4*y = -x*y - 190. Let f = 150 + v. Is f composite? True Let h(j) = 5*j**2 - 11*j - 6. Let n be ((-8)/(-6) - -2)/((-26)/195). Is h(n) prime? False Let i = 33 + -15. Let c be (14/(-14))/((-2)/i). Let z(q) = 14*q + 23. Is z(c) composite? False Let v be (1 - 1)/((12/(-2))/(-6)). Suppose -6*f + 9*f - 1353 = v. Is f a composite number? True Let r = -216 + 167. Let f = r + 500. Is f a prime number? False Let o be 1/(2/(-12))*90/27. Is (-12)/o + (-217386)/(-15) a prime number? False Suppose -8596407 = -35*j + 26024578. Is j a prime number? True Let d(t) = -4*t**3 - 2*t**2 - t + 17. Let v(p) = -2*p**3 - 2*p**2 + 16. Let g(w) = -2*d(w) + 3*v(w). Is g(4) prime? False Suppose 2*c = 5*i + 144, -2*i = -7*i + c - 147. Let m be 1/(i/16 + 2). Suppose 0 = 4*j - 5*d + 8, -4*j - 5*d = m - 40. Is j a composite number? False Let r be 172/2322 - 79/(-27). Suppose -q + 2*y = -231, 0 = 4*q - r*y - 507 - 427. Is q a prime number? False Let a(n) = -2*n**3 + 6*n**2 - 4*n + 3. Let v be a(2). Suppose 3*q - 44000 = -2*s, 3*s = v*q + 10032 - 54012. Is (-1)/(5 + q/(-2932)) prime? True Suppose 35311 = 4*u - n + 14511, -2*u + 10386 = -4*n. Is u a prime number? False Let x = 164 + -166. Is (-11 - -4 - x) + 207 a prime number? False Let c(j) = j**3 + 48*j**2 + 62*j + 45. Let n be c(-47). Let q = 793 + n. Is q a prime number? False Suppose 2*s = 2*a - 91573 + 432007, 5*s - 851097 = -a. Is s a prime number? False Is (-5 - (-2 - 1 - 1))/(9/(-459387)) composite? False Let o(c) = -c**3 + c**2 + c. Let i(t) = 5*t**3 - 15*t**2 + 7*t - 32. Let u(k) = i(k) + 6*o(k). Is u(-15) prime? True Let v(w) = -21*w**2 - 11*w - 52. Let l be v(14). Let h = l + 10339. Is h composite? True Let u(j) = -j**3 + 34*j**2 + 103*j - 621. Is u(35) composite? False Suppose i - 4*u - 90867 = 0, i - 37039 = -u + 53853. Is i a prime number? True Let i(j) be the third derivative of 409*j**4/8 - 34*j**3/3 + 36*j**2. Is i(5) composite? False Let d = -231700 + 414023. Is d a prime number? False Let x = 136098 - 91571. Is x prime? False Let p(u) = -10 + 47*u + 14 + 10 - 18*u - 104*u. Let z(x) = x - 9. Let m be z(4). Is p(m) prime? True Let h(i) = -18*i - 5*i**3 + 4*i**3 - 3 - 14*i + 22*i**2. Let v = -140 + 154. Is h(v) a prime number? True Suppose 10*v - 3*l - 62272 = 5*v, -5*v + l + 62274 = 0. Suppose -139*w = -134*w - v. Is w prime? False Suppose 38591 = 3*t + 3*a - 6274, -a = -4. Is t composite? False Suppose -487664 - 1183275 = -127*t. Is t composite? True Is (35/((-910)/(-1557244)))/(-2 - -4) a prime number? True Let f(h) = h**3 + 25*h**2 + 27*h + 16. Let m be f(-24). Let d = -54 - m. Is -1070*(d*3/(-4))/3 prime? False Let i = -197347 + 394200. Is i composite? False Suppose -4*p + 2*z + 184936 = 0, 3*z = 5*p - 370518 + 139345. Is p a composite number? True Let v(f) = 15851*f**3 - 5*f**2 + 23*f - 42. Is v(4) composite? True Let m = -2766 + 4095. Suppose -5*w - 17460 = -5*l, 3*w = -l + 2159 + m. Is l prime? True Let k be (-10)/(-75) + 793/15. Let c = k - 49. Suppose 2621 = -2*r - g + 9715, 0 = -c*r + g + 14188. Is r composite? False Suppose -49*z - 10899 + 114954 = -252910. Let p = 9 - 2. Suppose p*b - 3292 = z. Is b a prime number? True Suppose -227*h + 12 = -221*h. Suppose 2*u - u = 5*r - 12292, -2*u = h*r - 4924. Is r composite? False Suppose -2*x + 123558 = -58*l + 56*l, 5*x - 4*l = 308897. Is x a composite number? False Let z(a) = 2*a**3 + 38*a**2 - 12*a + 19. Let l(h) = 16*h - 3. Let m be l(-1). Is z(m) a prime number? False Let l be 10/90 + (-85193)/(-9). Is (8/10 - l/70)*-7 a composite number? False Let t = 59868 + -16069. Is t a composite number? True Let h(f) = -209439*f - 838. Is h(-3) a prime number? True Suppose -2*l + 2*k = -448570 + 96596, -4*k - 1231921 = -7*l. Is l prime? True Let f = -59551 - -129312. Is f prime? True Suppose -c = 3*b - 25, -b = -3*b - 3*c + 12. Suppose b*a - 2*a - 19201 = 0. Is a a composite number? True Suppose -5*l = -2*b + b - 29, -5*b = 3*l + 5. Suppose -l*p + 3*p + 10010 = 2*x, -x + p + 5001 = 0. Is x prime? True Let r(f) = -f + 27. Let y be 0 + (-1470)/(-24) + 3/4. Let k = -54 + y. Is r(k) a prime number? True Let s(i) = 3082*i - 117. Let g be s(14). Suppose -6*c = g - 122441. Is c composite? True Suppose -4*s = -s. Suppose -2*o + 4*k + 1804 = s, -5*k = 4*o - 2*o - 1804. Let b = o - 315. Is b a prime number? True Let j(t) =
{ "pile_set_name": "DM Mathematics" }
2*m - k for m. 2 Suppose -5*v + 27 = w, -6*v = -8*v + 10. Solve -w*c = 4*u - u, -8 = -2*u for c. -6 Let j be 35/(-5)*(-4)/14. Let g(m) = 21 - 2*m + 2*m**3 - 7 - 2*m**2 - 13. Let c be g(j). Solve -2*s = 2*n + 7 + 3, -s - c = 5*n for n. 0 Suppose 0 = -44*d - 40 + 103 + 25. Solve 2*x + 40 = -5*t, x - d*t = 4*x + 16 for x. 0 Let f be 2/(-4)*(-3 + 2 + 1). Let k be f/(12/(-18) - 5/(-3)). Suppose 3*z + 12 = k, -3*z = 4*v - 0*z + 4. Solve -2*i + 8 = -v*l, 5*i - l - 19 = -7 for i. 2 Suppose 2*c + 3*u = -3 + 24, 5*c - 5*u = 90. Suppose -7*y = -c*y. Solve -r + y*d - 2 = d, 0 = 4*r - 2*d - 4 for r. 0 Let v(u) = -5*u**2 - 9*u - 12. Let t(a) = -9*a**2 - 18*a - 22. Let q(l) = 4*t(l) - 7*v(l). Let i be q(-8). Solve i*b - b = -2*h - 19, 0 = -4*b - 3*h - 26 for b. -5 Let k = 58 - 332. Let b = k + 274. Suppose -5*d + 17 = -3. Solve -5*r + 28 = d*t, 0*r + 2*r - 3*t - 2 = b for r. 4 Let p = -34 + 38. Suppose 3*m - 4*m = -w + p, 0 = -5*m. Suppose 2*l - 2*i - 14 = 2*i, -i = -w. Solve j - 2*b - 15 = 2*b, 3*b = -l for j. -5 Let p(o) = -7*o + 32. Let f be p(5). Let h be ((-4)/6)/((-2)/15). Let g = f + h. Solve -4*w = 5*y + 26, g*w + 10 = y - w for y. -2 Suppose 0 = -369*k - 826*k + 10755. Let j(p) = 2*p**2 + 4*p + 6. Let h be j(-4). Solve l - 3*y + h = 2*y, -k = 2*l - 3*y for l. 3 Let d = 4842 + -4840. Solve -d*r + 23 = -5*r - 2*j, -3*r = 5*j + 26 for r. -7 Let x(b) = 35*b - 15. Let q be x(5). Let c = 170 - q. Solve k = -2*y + 1, -4*y + 4*k + c + 10 = 0 for y. 2 Let r be (-25)/(-9) + (-2)/(-9). Suppose -4*v - 2*o = -168, -2*o - 54 = -r*v + 58. Let p = -35 + v. Solve 0 = -5*h - p*s - 45, 3*s + 8 + 3 = h for h. -4 Let n = 29 - 25. Suppose 4*f + 14*f = -n*f. Solve -9 = 3*r, f = -2*l + 5*r + 8 + 7 for l. 0 Let k = 6801 - 6797. Solve 26 = -k*b + 5*i, 2*i = -b + 4*b + 16 for b. -4 Let m = -748 + 489. Let s = -257 - m. Solve -3*j - 4 = -p + 8, -3*j = -s*p + 15 for j. -3 Let q(h) = h**3 - 14*h**2 + 24*h + 23. Let z be 3/15 - 177/(-15). Let r be q(z). Solve 3*b + 4*i = -r, -19 = 3*b + i + i for b. -5 Suppose -5*k + 32 = -j, 8 = 2*k - j + 3*j. Let m(s) = -2*s**2 + 13*s + 4. Let g be m(k). Let y = g + -8. Solve 5*i + 10 = -5*b, -i + y*i = 5*b + 28 for b. -5 Let b = 46 + -32. Let i(z) = z**3 - 14*z**2 - 2*z - 6. Let c be i(b). Let l be c/51*6/(-2). Solve 0 = -5*t + p - 20, 4*t - 5*p - l = 3 for t. -5 Let q(z) = z**3 - 16*z**2 - 18*z + 23. Let c be q(17). Let x be 2 + 32/15 + c/(-45). Solve a - x*w - 13 = 0, -a - a + 5 = -w for a. 1 Let f = -103 - -110. Suppose -12*g = -f*g. Solve -p + 5*w = g, -p + 2*w = p + 8 for p. -5 Let f(w) = -4*w**2 + 49*w - 9. Let k be f(12). Suppose 2*d = 4*d - 66. Suppose -g = 5*v - 13, 5*g - d = -5*v - 8. Solve -5*a - v*n - 15 = k*n, 4*n = 2*a for a. -2 Suppose -n = -s + 1, 248*s - 25 = 243*s. Solve 3*h + q + 63 = 64, -n*h - q = -1 for h. 0 Suppose -3*j - 2*y - 94 = -238, 0 = -3*j + 2*y + 156. Suppose j = 4*o - 2*d, -2*d + 21 = 2*o + d. Solve -5*g + 5*k - o - 3 = 0, -2*g = 5*k - 22 for g. 1 Let b = 25 + -25. Suppose b = 5*d - 2*l - 37, -5*d - 10 = 5*l - 75. Suppose -4 = d*t - 11*t. Solve -u + t = -z - 0*u, 4*z + 8 = 2*u for z. -2 Let d(i) = -30*i + 2015. Let t be d(67). Solve -t*z + 10 = 2*v, -5*v + 44*z - 4 = 42*z for v. 0 Let z be (3 - (-6 - -11)) + 1/1. Let l be 0 - (-8 + z) - (-11 - -12). Solve l*a = 3*a + 4*k + 5, -a - 13 = 2*k for a. -3 Suppose -27 = -3*i - 0. Suppose 11*f - y = 16*f - 3, 0 = -3*f + 3*y - i. Solve -3*w - 2*a + 14 = f, 2*a = -w - 4*w + 18 for w. 2 Let o be ((-16920)/(-140))/((-6)/28). Let q = o + 569. Solve -4*l + 6 = q*x + 1, -3*x - 5*l = -16 for x. -3 Let q(o) = o**3 - o**2 - 1. Let l be q(2). Suppose -b = -4*f - 18, l*b + 2*f - 45 = 5*f. Solve 0 = -p - 3*k + b, 3 = -3*p - 4*k + 25 for p. 2 Let n = -21000 - -21010. Solve -w + 3*m - 6 = n, 16 = w + 5*m for w. -4 Let r be 0 + (-7 - -9)/(7/42). Solve 6 = -3*l + 2*h, 2*l = -4*h - 8 - r for l. -4 Let f(s) = -13 - 6*s - 5*s - 1 + 4*s. Let o be f(-6). Let a = 32 - o. Solve -4*u + a + 0 = -2*k, -2*k + 1 = u for u. 1 Let g(v) = 3*v**3 - 3*v**2 + 2*v + 4. Let l be g(2). Suppose 0 = 7*w - 3*w - l. Suppose -17 - 1 = -9*p. Solve 5*c + 3*k = -p*k + 50, -5 = 4*c - w*k for c. 5 Let x(t) = t**2 + 41*t + 210. Let a be x(-35). Solve 2*z + f = -2*f, 4*z + 2*f = a for z. 0 Let w(z) = -z**2 - 117*z - 3399. Let m be w(-54). Solve m*t + 3*g = 3, -4*t + 5*g = -0*t - 22 for t. 3 Suppose -7*r + 5*r + 6 = 0. Suppose 6*g - 27 + r = 0. Suppose -v = 3*i - 34, g*i - 4*v = -8 + 32. Solve 2*y = -2*y - 2*l + 18, 0 = 5*y - 4*l + i for y. 2 Suppose 3*y + 4*s - 118 = 13, -209 = -5*y - 2*s. Let a = -574 + 535. Let u = a + y. Solve -b - 7 = 2*n - 2*b, 0 = u*n - 3*b + 17 for n. -1 Let s = 285 - 531. Let p = -243 - s. Solve -1 = -3*h - 2*h - 4*o, 2*o - 17 = p*h for h. -3 Let k be (6/(-8))/((-66)/16 + 4). Suppose -27 = -11*w + k. Solve -3*c - 27 = -3*t, w*c + 35 = 3*t + 2*t for c. -5 Let u(y) = y**2 + 111*y + 1022. Let m be u(-10). Solve 3*x = -l - 13, 4*l + m*x + 19 = 11*x for l. -4 Let f(h) = 6*h - 5. Let r be f(3). Suppose 12*w - r*w + 7 = 0. Suppose -t + w*t = 30. Solve -1 - 2 = -5*u + x, t*x + 15 = 0 for u. 0 Let r(c) = c**3 - 18*c**2 + 46*c - 10. Suppose 31*x - 320 = 145. Let n be r(x). Solve -2*v - 21 = -n*m, v = 1 + 1 for m. 5 Let i(q) = -23*q**2 + 643*q + 47. Let u be i(28). Solve 0 = -2*h - 3*d + 12, -23*h + u = -20*h + 5*d for h. 3 Let l(b) = b**2 - 18*b + 74. Let w be l(6). Suppose -3*y = -5 - 7, 4*y = h - w. Solve -5*o - 5*z = 15, h = -5*o + z - 3*z for o. -4 Suppose 5*b + 3*b = -3968. Let h = b - -499. Solve -8*a + 3*a + 3*k + h = 0, 4*k + 4 = -3*a for a. 0 Let k be (-27)/99 - (-4014)/198. Solve k = -4*r, -3*u - 3*r - 35 = u for u. -5 Suppose -45 = 29*v - 161. Suppose g - 19 = -v*k, -k = 2*k - 4*g. Solve -k*y = -s - 3 - 2, -4 = 4*s for y. 1 Let g = 396 + -288. Suppose 110*n = g*n + 12. Solve c = -5*u - 2*c + 9, 2*c = -3*u + n for u. 0 Let s(a) = -31*a - 657. Let f be s(-20). Let d be 37*-1 - -2*1. Let m = d - f. Solve 4*h = m*r + 16, 2*r - 20 = h - 6*h for h. 4 Let p = -60 - -83. Let f = -21 + p. Suppose 4*s - f*n - 4 = 3*s, -2*s + 29 = 3*n. Solve 3*b - v = -0*b - s, v - 12 = 4*b for b. -2 Let p = -2430 + 2432. Solve 0 = -2*i + l + p, 8*i + 2*l - 14 = 3*i for i. 2 Let s(g) = g**3 - 14*g**2 + 46*g - 2. Let d be s(5). Solve 3*l + 28 = 4*f + 5, d*f - 6 = 0 for l. -5 Suppose -288 = 7*d - 470. Suppose 9*l - 10 = d. Solve -3*y + 16 = -5*y + 3*q, -3*y + 10 = l*q for y. -2 Let s = 6919 - 6919. Solve g - 12 = t - 5*t, s = 3*g + 12 for t. 4 Let q(n) = n**3 - 14*n**2 + 15*n + 11. Let t be q(13). Let o = 37 - t. Solve o = -3*w + 5*c + 1 - 5, -c = -2*w - 5 for w. -3 Let x(m) = m**3 + 6*m**2 + 7*m - 3. Let p be x(-3). Suppose -2*z + 22 = p*z - w, 12 = 4*w. Solve 4*h - 2*d = -18, h - 9 = z*h + d for h. -3 Suppose 2*h + 1102 = 38*h + 2*h. Solve 0 = -3*r + 9, 3*l - h*r + 21 = -26*r for l. -4 Let w = 180 + -175. Suppose 2*c + i - 12 = -5, w*i = c - 9. Solve 2*k = -2, -2*k = 2*r - r + c for r. -2 Let n(w) = -w**2 - 15*w - 56. Let k be n(-8). Suppose k = 3*l + 4 + 11, 3*l + 7 = -2*s. Solve 0 = -4*h - s*m - 8 - 8, -2*m = -4*h - 4 for h. -2 Let n = 16 - 10. Let a = 311 - 78. Let d = a + -228. Solve -5*z = d*x + 10, x - 6*x = 3*z + n for z. -2 Let j = -943 - -945. Suppose -w + 3*m = 1, 2*w + 7*m - 3*m - 18 = 0. Suppose n = -3*n + 4. Solve 2*r + j*y - 5 = -n, 28 = w*r - 4*y for r. 4 Suppose 4*x = 4*o - 16, 132*x - 127*x = -o + 10. Solve y + 10 + 2 = 4*w, 3*w - o*y - 26 = 0 for w. 2 Suppose 0 = 5*s + 4*a + 20, 390 = 5*s + a + 395. Solve -z - 5*u + 14 = s, 2*z - 4*z - 11 = -3*u for z. -1 Suppose 0 = -292*i - 654 + 556 + 1558. Solve 5*z + t = -24, -4*z + i*t - 2 - 23 = 0 for z. -5 Let b be (161 + -1)/4 + 5 + -5. Solve 3*o - 4*g = 7*o + b, o = g for o. -5 Suppose -13*d - 240 = -21*d. Let t be (-24)/d*-10 + (-6)/1. Solve 2*w + t = y - 1, 5*y - 4*w = 3 for y. -1 Let g = -106 - -29. Let d = g - -54. Let n = d + 31. Solve -5*f - n = -f, 4*b - 3*f = 14 for b. 2 Suppose 655*w = 4877 - 1602. Solve -15 = -w*o + 37*c - 38*c, 5*o + 2*c = 15 for o. 3 Let f be 1/(1 - (-28)/(-35)). Suppose -f - 7 = -4*c. Solve -c*w = -0*w - 2*a, 4*w = -a - 11 for w. -2 Let r(x) = 7*x - 8. Let l be r(6). Suppose 315 = 6*k + 29*k. Suppose 2*f + 5*u - l = -f, 3*u - k = 2*f. Solve 15 = -f*p - 3*j, -p - 5 = 3*p + j for p. 0 Let a(i) = -277*i**3 + 2*i**2 - i - 2. Let
{ "pile_set_name": "DM Mathematics" }
tive of 36*m + 2 - 40*m + a wrt m? -4 Let v(y) be the first derivative of -y**6/30 - y**2/2 + 3*y + 3. Let q(c) be the first derivative of v(c). What is the derivative of q(u) wrt u? -4*u**3 Suppose -3*a - 305 = -5*x - 8*a, 3*x = -a + 187. Find the second derivative of x*m**2 + 3*m - 6*m - 8*m - 56*m**2 wrt m. 14 What is the third derivative of -4 - 61*q**2 + 10*q**3 + 4 + 59*q**2 wrt q? 60 What is the third derivative of 13*f**2 + 60*f**3 - 5*f**2 - 83*f**3 wrt f? -138 Let w(s) be the second derivative of 2*s**7/21 + s**3 - 3*s. What is the second derivative of w(n) wrt n? 80*n**3 Let i(k) be the first derivative of k**8/1680 + k**5/24 - 4*k**3/3 - 6. Let a(b) be the third derivative of i(b). Find the second derivative of a(f) wrt f. 12*f**2 Let o(d) = 3*d**3 - 4*d - 8. Let u(j) = -4*j**3 + 5*j + 9. Let c(i) = 5*o(i) + 4*u(i). What is the first derivative of c(n) wrt n? -3*n**2 Let q(t) = -t**2 - 3*t. Let y be q(-3). Find the second derivative of y*j**2 + 4*j + j**2 - j - 5*j wrt j. 2 Let v(j) be the third derivative of -2/3*j**3 - 1/10*j**5 + 5*j**2 + 0*j**4 + 0*j + 0. Find the first derivative of v(g) wrt g. -12*g Let f be 21*(2/(-3) + 0). Let p be (-24)/f - (-2)/7. What is the third derivative of -p*c**2 - 2 + 2 + 2*c**4 wrt c? 48*c Let m(y) = 63*y**3 - 7*y**2 - 74. Let j(t) = -32*t**3 + 4*t**2 + 37. Let w(r) = 7*j(r) + 4*m(r). What is the derivative of w(z) wrt z? 84*z**2 Let x(l) = l**2 - 4*l + 6. Let d be x(4). What is the third derivative of -4*i**d + 13*i**3 - 13*i**3 - i**2 wrt i? -480*i**3 Let r(b) = 5*b**3 - 2*b**2 - 2*b - 2. Let z(f) = f**3 - f**2 + f - 1. Let h = -4 - -6. Let p(s) = h*z(s) - r(s). Find the second derivative of p(w) wrt w. -18*w Let h(w) be the first derivative of 28*w**5/5 - 11*w**2/2 + 26. What is the second derivative of h(u) wrt u? 336*u**2 Let a = 12 + -10. Differentiate k - 3*k + k + a*k + 1 wrt k. 1 Find the second derivative of -15*w + 110*w**4 - 81*w**4 + 4*w - 13*w wrt w. 348*w**2 Let r(x) = -29*x**2 + 9*x + 1. Let m(g) = 28*g**2 - 8*g - 2. Let s(q) = -2*m(q) - 3*r(q). What is the second derivative of s(h) wrt h? 62 Let y be 1 + -2 + -1 + 2. Suppose d + 2*u - 8 = y, -u + 0*u = 4*d - 11. Find the third derivative of q**5 - q**d - q**2 + 0*q**2 wrt q. 60*q**2 Suppose 4*x + 5*l = -29, -6*x - 2*l = -2*x + 14. Let j be -1*(-2 + x - -1). Find the second derivative of -3*n**4 + 3*n**4 - 3*n - j*n**5 wrt n. -40*n**3 Let k(j) be the first derivative of 0*j**5 - 7/2*j**2 - 7/6*j**6 + 0*j + 0*j**3 + 0*j**4 + 3. What is the second derivative of k(f) wrt f? -140*f**3 Suppose -1 = -5*i + 4. Let p(a) = 3*a**3 - a**2 + 2*a - 1. Let o be p(i). Find the first derivative of h**3 - h**o - h**4 - 1 wrt h. -4*h**3 Let p(l) be the second derivative of 9*l**5/20 - 2*l**3/3 - 5*l. Find the second derivative of p(s) wrt s. 54*s Let q(s) be the second derivative of -23*s**4/12 + 10*s**2 - 27*s. What is the derivative of q(j) wrt j? -46*j Let f(k) be the third derivative of 17*k**8/336 + k**5/3 - 22*k**2. Find the third derivative of f(a) wrt a. 1020*a**2 Let h = 9 + -6. Suppose -h*a - 12 = -7*a. What is the derivative of a + 3 + u**2 - 4 wrt u? 2*u What is the second derivative of -10*a - 8*a**5 + 7*a + 0*a wrt a? -160*a**3 Let m(f) be the third derivative of f**8/112 + 13*f**4/24 + 20*f**2. What is the second derivative of m(h) wrt h? 60*h**3 Suppose 4 = 2*t - 2. Differentiate 4*j**3 - 3*j**3 - 3*j**3 + 1 + 5*j**t wrt j. 9*j**2 Let t(m) = -2*m - 5. Let g be t(-4). Find the second derivative of -4*i - g*i**2 + i + i + 0*i wrt i. -6 Let g be (12/18)/((-2)/(-21)). Suppose g = q + 4. Find the third derivative of -f**q + 7*f**3 - 3*f**3 - f**3 + 3*f**2 wrt f. 12 Let m(v) be the first derivative of 0*v + 0*v**2 + 2/3*v**3 - 1/2*v**4 + 2. What is the third derivative of m(h) wrt h? -12 Suppose 11 + 1 = 4*t. Find the third derivative of -w**3 + w**2 - 2*w**t + 5*w**2 wrt w. -18 Let u(f) be the second derivative of -2*f**4/3 + 5*f**2 + 2*f + 23. What is the derivative of u(k) wrt k? -16*k Suppose 11 - 26 = -3*c. Let v be 1/(-2 + 11/c). Find the third derivative of -3*x**3 + v*x**3 + 2*x**2 - x**2 wrt x. 12 What is the derivative of -47 - 29*q**2 - 35*q**2 + 38*q**2 wrt q? -52*q Let h(p) = -p**2 + 7*p - 6. Let s be h(5). Suppose -2*c + s*c - 2 = 0. Differentiate -4 + 3 + c + 4*u - 1 wrt u. 4 Let o be (-66)/(-30) + 2/(-10). Let d(t) be the second derivative of -1/6*t**3 + 1/2*t**o - t + 0. Find the first derivative of d(w) wrt w. -1 What is the third derivative of -85*l + 5*l**2 + l**3 + 89*l - l**3 + l**3 + 6*l**4 wrt l? 144*l + 6 Let n(b) be the third derivative of 0*b**7 + 0*b**6 + 0 - 7*b**2 + 0*b**3 - 1/84*b**8 - 7/24*b**4 + 0*b**5 + 0*b. Find the second derivative of n(i) wrt i. -80*i**3 Let t(d) be the third derivative of 3*d**2 + 0*d + 0*d**5 + 1/30*d**6 + 0 + 2/3*d**3 + 0*d**4. What is the first derivative of t(i) wrt i? 12*i**2 Let k be 1 + 0 + -1 + 2. Differentiate 0 + 3 + k*v - 4*v wrt v. -2 Find the first derivative of -104 + 219 - 102 - 17*y**2 wrt y. -34*y Let p(w) be the third derivative of -17*w**8/336 - 7*w**4/8 + 35*w**2. Find the second derivative of p(f) wrt f. -340*f**3 Let b(o) = -3*o**2 - 8*o - 6. Let r(l) = -2 + 3*l**2 - 6 - 15*l - 8*l**2 - 3. Let u(f) = 11*b(f) - 6*r(f). Find the second derivative of u(k) wrt k. -6 Let k be ((-2)/6)/(2/(-24)). Find the second derivative of 8*j**2 - 8*j**2 - 3*j - j**k wrt j. -12*j**2 Suppose 5*v - 4*a + 2 = 0, -3*a + 17 = -v + 5*v. Let l be (-1 - (-2 + -3)) + 28/(-7). What is the first derivative of 2 - 3*s**4 + l - 1 + v wrt s? -12*s**3 Let b(t) = -t**3 - t**2 - t. Let h(n) = 22*n**3 - 6*n**2 - 3*n - 11. Let q(k) = 6*b(k) - h(k). Find the second derivative of q(g) wrt g. -168*g Let n(b) = 8*b**2 - 5*b + 3. Let y(c) = 39*c**2 - 24*c + 15. Let t(f) = -24*n(f) + 5*y(f). What is the first derivative of t(q) wrt q? 6*q Let n(r) be the third derivative of r**7/280 + r**6/360 + r**3/3 - r**2. Let q(l) be the first derivative of n(l). What is the third derivative of q(k) wrt k? 18 Let b(v) be the third derivative of 0 + 0*v**4 + 1/12*v**5 + 0*v + 2/3*v**3 - v**2. What is the first derivative of b(j) wrt j? 10*j Find the second derivative of -31 + 17*l**4 + 31 + 6*l wrt l. 204*l**2 Suppose 5 = 2*h - 3. Find the third derivative of h*l - 2*l**2 - 5*l + 5*l**3 + l wrt l. 30 Suppose 0 = 3*j + 4 - 10. Find the first derivative of -2*a**j + 5 - 1 + 5*a**2 - 1 wrt a. 6*a Let u be 15 + 2/(-2) + -2. Let v = u - 7. What is the second derivative of v*o**4 - 3*o - 4*o**4 + 2*o wrt o? 12*o**2 Let z(g) = 2*g**4 - 6*g + 2. Let w(o) = 5*o**4 - 17*o + 6. Let x(d) = 6*w(d) - 17*z(d). What is the derivative of x(i) wrt i? -16*i**3 Let d(q) = -q**2 - 3*q. Suppose 3*v - 4*h = -21, h + 3 = -v - v. Let j be d(v). Differentiate -2*y**3 + j + 0 + 2 with respect to y. -6*y**2 Find the first derivative of 2*r - 167 - 3*r + 160 wrt r. -1 Let d(w) = w**4 - w**3 + w**2. Let c(n) = n**4 - 3*n**3 + 6*n**2. Suppose 3*q = -q - 12. Let j(a) = q*d(a) + c(a). Find the third derivative of j(m) wrt m. -48*m Let k(w) = w**2 + 7*w + 6. Let x be k(-7). Let i be (-4)/x + (-8)/(-3). Find the second derivative of -2*n**i - 1 - n + 1 wrt n. -4 Let l(u) be the first derivative of -u**2 - 1/10*u**5 + u - 1 + 0*u**3 + 0*u**4. Let y(o) be the first derivative of l(o). Differentiate y(k) with respect to k. -6*k**2 What is the derivative of -2 - s**2 - 5*s**2 + 9 + 2*s**2 wrt s? -8*s Let z = -4 - -2. Let c = 3 + z. Find the second derivative of 1 - 3*j - 3*j**2 + 0*j**2 - c wrt j. -6 Find the second derivative of 35*m**5 + 251*m**3 - 251*m**3 - 37*m wrt m. 700*m**3 Let i(f) = 1 - 4*f + f**2 + 5*f - 2*f. Let s(x) = -39 + 30 + 6*x - x**2 - x**2. Let c(o) = -6*i(o) - s(o). What is the derivative of c(g) wrt g? -8*g Suppose 3*o - l - 16 = 0, 2*o - 13 = l + 2*l. What is the second derivative of -7*j**o - 43*j**2 + 3*j + 43*j**2 wrt j? -140*j**3 Let s(v) = 6*v - 3. Let p(y) = 7*y - 4. Let r = 4 + -1. Let h(w) = r*s(w) - 2*p(w). What is the first derivative of h(a) wrt a? 4 Let a(g) be the first derivative of 2/5*g**5 + 0*g**4 + g**3 + 0*g + 0*g**2 + 2. What is the third derivative of a(w) wrt w? 48*w Find the third derivative of 47*k**3 + 14*k**2 + 4760 - 4760 wrt k. 282 Let q(c) = -4*c**2 + 3*c. Let o(x) = -5*x**2 + 4*x + 1. Suppose -b - 5
{ "pile_set_name": "DM Mathematics" }
**4 - 3*t**2 - 3*t + 148. Let s(g) = -3*c(g) - 10*j(g). Find the first derivative of s(h) wrt h. 20036*h**3 Let d = -450 - -1065. Differentiate -131*j**3 + d - 832 - 23*j**3 wrt j. -462*j**2 What is the third derivative of 1068*g**6 + 2990*g**2 + 5275*g**6 - 148*g**6 wrt g? 743400*g**3 Suppose -3*a = 5*b - 1445, 0 = -3*a - 0*a + 5*b + 1495. Suppose -3*i + a = 2*i. What is the first derivative of 2 - i*j + 98*j - 8*j**3 wrt j? -24*j**2 Suppose -2*v - 10 = 0, 3*j - 5*j - 5*v - 593 = 0. Let f be 0 - j/10 - 6/15. Find the second derivative of 11*l - f*l + 6*l + 12*l**4 + 3*l wrt l. 144*l**2 Suppose 4*f - 7 = 3*h, -h + 2*h + 17 = 5*f. What is the third derivative of -21*l**3 - 11*l - 36*l**3 - 2*l**2 - 3*l + 8*l**h wrt l? -294 Let i = -228 + 230. What is the third derivative of -24*r**5 - r**4 + 71*r**5 + r**4 - 58*r - 2*r**i wrt r? 2820*r**2 Find the second derivative of -146*z**4 + 11*z**3 - 14054*z + 34*z**4 + 12*z**2 + 61*z**4 + 28*z**4 + 26*z**4 wrt z. 36*z**2 + 66*z + 24 Let f(l) be the third derivative of 167*l**6/5 - 3413*l**5/60 - 779*l**2. Find the third derivative of f(w) wrt w. 24048 Let f(p) = -30*p - 32*p + 5 + 193*p**2 + 66*p. Let z(s) = -97*s**2 - 3*s - 2. Let u(r) = 3*f(r) + 7*z(r). Find the second derivative of u(k) wrt k. -200 Suppose 0 = 5*o + 5*o - 20. Suppose 2*v - v - o*j = 903, -2*j - 3630 = -4*v. What is the derivative of 909*w + 28*w**3 - v*w - 25 wrt w? 84*w**2 Let y(w) be the third derivative of 0*w + 73*w**2 + 19/3*w**3 + 5/8*w**4 + 0. What is the first derivative of y(l) wrt l? 15 Let z(x) be the second derivative of 0*x**2 + 0*x**5 + 1/42*x**7 - 9/4*x**4 + 75*x + 0*x**6 - 5/14*x**8 + 0 + 0*x**3. Find the third derivative of z(d) wrt d. -2400*d**3 + 60*d**2 Find the third derivative of 216 - 6*f**2 - 3*f**5 + 113*f**6 - 4*f**2 - f**2 + 16*f**2 wrt f. 13560*f**3 - 180*f**2 Let u(i) be the third derivative of i**8/168 - 7*i**7/10 + 71*i**4/6 - 66*i**2 + 1. What is the second derivative of u(f) wrt f? 40*f**3 - 1764*f**2 Let o(z) be the first derivative of 1/5*z**5 + 0*z + 0*z**2 - 5/4*z**4 + 11/3*z**3 - 36. Find the third derivative of o(a) wrt a. 24*a - 30 What is the derivative of 2*t**2 - 2035 - 2*t**2 - 1244*t**3 - 14 - 99 wrt t? -3732*t**2 Let h(y) be the first derivative of -429*y**6/2 + 28*y**2 + 6*y - 1636. Find the second derivative of h(n) wrt n. -25740*n**3 Let q be (-2)/(-14) - 834/(-42). Suppose -2*j + 3*o + 23 = 0, -9 - 6 = 3*o. What is the second derivative of -21*z + q*z**j + 49*z**4 - 31*z**4 wrt z? 456*z**2 Let s(w) = -8*w**3 + 8*w**2 + 18*w - 1659. Let c(n) = 39*n**3 - 38*n**2 - 87*n + 8295. Let b(g) = -6*c(g) - 29*s(g). What is the first derivative of b(y) wrt y? -6*y**2 - 8*y Suppose -12 = 197*p - 200*p. What is the derivative of -2*j**p - 4737*j**2 + 3*j**4 + 4740*j**2 - 33 wrt j? 4*j**3 + 6*j Let q(b) = -48*b**2 + 1228*b - 13. Let j(h) = -h**2 - h - 4. Let t(g) = 3*j(g) - q(g). What is the second derivative of t(s) wrt s? 90 Let u(b) be the third derivative of -b**7/210 + b**6/60 + 89*b**5/30 - 901*b**3/2 - 154*b**2 + b + 11. What is the first derivative of u(o) wrt o? -4*o**3 + 6*o**2 + 356*o Let m(w) be the second derivative of 206*w**6/3 - 1891*w**4/6 + 200*w. Find the third derivative of m(v) wrt v. 49440*v Let b be (0/17)/(2*1). Suppose -d + 4 = -b. Find the second derivative of 45*l**2 - 45*l**2 + 23*l + 11*l**d wrt l. 132*l**2 Let j(n) be the second derivative of -3341*n**4/12 + 3*n**3 + n**2/2 - 2143*n. What is the second derivative of j(w) wrt w? -6682 Suppose 6*s + 2 = 26. Suppose -t + 1 + 4 = s*r, -t + r = -5. Find the second derivative of -71*k + 52*k - 2*k**5 - 12*k**t wrt k. -280*k**3 Suppose -3*g = -4*i - i - 54, -i - 3*g - 18 = 0. Let f be 0 + (-4)/i*9. What is the second derivative of -25*d - 4498*d**3 + 4498*d**f - 15*d**5 wrt d? -300*d**3 Let w = -9484 + 9504. Let v = 1 - -1. What is the third derivative of 1 - 5*g**5 - 1 + 19*g**5 + w*g**v wrt g? 840*g**2 Suppose -10*q = -6*q + 20, 3*q = p - 24. What is the first derivative of 16*x**3 - 23*x**3 + p*x**3 + 62 wrt x? 6*x**2 Let h(k) = -2*k**3 + k**2 + 3*k + 1. Let j(l) = 3598*l**3 + 8*l**2 + 16*l + 20. Let t(d) = -8*h(d) + j(d). What is the second derivative of t(v) wrt v? 21684*v Let k(p) = -1573*p**4 - 4*p**3 - 53*p + 1. Let i(m) = 3148*m**4 + 9*m**3 + 106*m - 2. Let z(u) = 4*i(u) + 9*k(u). What is the second derivative of z(h) wrt h? -18780*h**2 Let a(v) = 4*v - 74. Let u be a(19). Find the second derivative of -89*w - 44*w**u + 48*w**2 - 19 - 3*w**3 + 19 wrt w. -18*w + 8 Let w = -2415 + 2415. Let a(b) be the second derivative of -4*b + w + 0*b**4 - 19/2*b**2 - 17/20*b**5 + 0*b**3. Differentiate a(l) wrt l. -51*l**2 Let r(u) be the third derivative of 0*u + 0*u**6 + 0*u**5 + 2 - 17*u**2 - 11/2*u**3 + 11/35*u**7 + 0*u**4. What is the first derivative of r(p) wrt p? 264*p**3 Let y(s) be the third derivative of 0*s**3 + 1/30*s**5 + 0 - 3*s**2 - 55/24*s**4 - 1/5*s**6 - 10*s. Find the second derivative of y(o) wrt o. -144*o + 4 Let c be (-6 - 1)*(2574/(-126) - -20). Let t = -47 + 76. Find the second derivative of -t*q - 18*q**5 + 27*q + c*q**5 wrt q. -300*q**3 Find the second derivative of m**5 + 309202*m + 0*m**5 + 211*m**4 - 309203*m wrt m. 20*m**3 + 2532*m**2 Find the third derivative of 15172 - 59*q - 1873*q**4 + 16369*q**4 - 15174 - 16*q**2 wrt q. 347904*q Suppose -r = 4*y - 135, 2*y + 11*r = 13*r + 80. What is the third derivative of 40*u**2 + y*u**2 + 205*u**6 + 70*u**6 wrt u? 33000*u**3 Let c be (-20)/(-6) + -5 + 85/15. Suppose c*g - 13*g = -45. What is the third derivative of -4594*f**2 + 20*f**g + 4621*f**2 + 17*f**5 wrt f? 2220*f**2 Let d(y) be the first derivative of -93*y**2/2 - 206*y - 249. Let h(l) = -86*l - 205. Let w(m) = -5*d(m) + 6*h(m). Differentiate w(a) with respect to a. -51 Let q(z) be the third derivative of 3*z**8/112 - 2*z**5/15 - z**4/12 - 175*z**3/6 + z**2 - 137. What is the second derivative of q(s) wrt s? 180*s**3 - 16 Let d(v) be the first derivative of v**6/3 - 39*v**4/4 + 5*v**2/2 + 64*v + 411. What is the second derivative of d(m) wrt m? 40*m**3 - 234*m Let i = 9110 - 9108. Let d(t) be the first derivative of 0*t - 7/3*t**3 + 0*t**5 + 0*t**4 - 31 + 0*t**i - t**6. What is the third derivative of d(u) wrt u? -360*u**2 Suppose -2*z = 3*w - 0*z - 116, -188 = -5*w - 2*z. Differentiate 130*t + t - 25 + w with respect to t. 131 Let t(d) be the first derivative of 0*d**2 + 7/3*d**3 + 1/2*d**4 - d**5 + 201 - 10*d. Find the third derivative of t(n) wrt n. -120*n + 12 Let g(m) be the first derivative of -55/2*m**2 - 47/2*m**4 - 74 + 0*m + 0*m**3. What is the second derivative of g(n) wrt n? -564*n Suppose 2*g = 3351 - 3347. Let b(n) be the second derivative of 17/6*n**3 - 19*n + 0*n**g + 3/2*n**4 + 0. What is the second derivative of b(p) wrt p? 36 Suppose 3*j + 3*h + 488 + 757 = 0, 2035 = -5*j + 5*h. Let z be ((-8)/10)/(3 + j/135). What is the derivative of -56*r**4 - 32 - 3*r**4 + z*r**4 wrt r? -164*r**3 Suppose -v - 60 = 3*v + 3*w, -3*w = -3*v - 24. Let q = 15 + v. Differentiate 8 - q*c**3 - 17 - 8*c**3 with respect to c. -33*c**2 Let u = 63 - 61. Find the second derivative of -134*m + 140*m**u + 0 + 2 - 118*m**2 wrt m. 44 Let b be 5/5 - (-6 + 3). Suppose 12 = 7*t - b*t. What is the second derivative of -18*c**3 - 2*c - t*c - 4*c wrt c? -108*c Suppose 2*r + 3*r - 2447 = 4*a, 4*a = -4*r + 1972. Differentiate 92*m**3 - 491*m + r*m - 48 wrt m. 276*m**2 Let a = -33 - -37. Suppose 2*k - 5*x = a, -k - 3*x - x = -2. Find the second derivative of -10*f - 9*f**2 - 24*f**k + 13*f wrt f. -66 What is the second derivative of 7648818*p**2 - 114*p - 4279*p**3 - 7648818*p**2 wrt p? -25674*p Suppose -869 + 314 = -37*m. Differentiate -139 - m*k**2 + 30 + 111*k**2 + 30*k**2 wrt k. 252*k Let j(o) = -1505*o**4 - 12*o**3 + 1672*o**2 + 6*o + 3. Let g(q) = 4*q**3 - 2*q - 1. Let p(u) = -3*g(u) - j(u). What is the third derivative of p(v) wrt v? 36120*v Let h = -32621 - -32623. Let l(c) be the third derivative of 0 + 8/3*c**3 - 43/24*c**4 + 0*c - 15*c**h. What is the derivative of l(w) wrt w? -43 Find the third derivative of -2515*n**3 + 409*n**3 - 1521*n**3 - 285*n**2 - 287*n**3 wrt n. -23484 Let a(v) be the second derivative of -298*v**5/5 - 346*v**3/3 - 20*v + 11. What is the second derivative of a(p) wrt p? -7152*p Let l(
{ "pile_set_name": "DM Mathematics" }
6? -1/1186 What is the nearest to -2/7 in -4, 2/5, -0.2, 2, 38? -0.2 Which is the nearest to 1/12? (a) -273 (b) 1/2 (c) 3 b Which is the nearest to 2/7? (a) -19 (b) -2 (c) -0.34 (d) 0.5 (e) -16 d What is the nearest to 4 in 9, 4, 5, -3? 4 Which is the nearest to 1/3? (a) 5/6 (b) 3080 (c) 9 (d) -2/5 (e) 1 a What is the closest to 4 in -2, -134, -390? -2 Which is the closest to 93? (a) 2 (b) 15 (c) 6 (d) 8 b What is the nearest to -0.1 in 2, 0.3, 0.1, -20, -0.05? -0.05 Which is the closest to -0.03? (a) -0.4 (b) -11/4 (c) 1/2 (d) 26 a What is the closest to -1 in -3.3, 7/2, 4? -3.3 Which is the closest to 1/7? (a) 2/305 (b) 0.4 (c) 2/25 c What is the closest to 38 in 0.4, -4, 2/3, 3, -0.4? 3 What is the nearest to -6 in -3, -3/2, 2, 71, -1? -3 What is the nearest to 2 in 1/3, 4/7, -0.1, -269/4? 4/7 What is the closest to -8 in 5, 14/23, -0.6? -0.6 What is the closest to 2 in -0.1, 4, 3279, -5? 4 Which is the closest to 34? (a) -29/5 (b) -0.2 (c) -1/3 b What is the closest to -2/7 in -44, -0.11, 0.3, 3/2, -6/11? -0.11 Which is the nearest to -20? (a) -1/4 (b) -6 (c) 8 (d) 0 b Which is the nearest to 7? (a) 22 (b) -2/259 (c) -0.1 (d) 4 d What is the closest to 2/7 in 4, 3, -22, 0, -1? 0 What is the nearest to 2/263 in 1/2, 5, -3/4, -0.094? -0.094 What is the nearest to -2/5 in -2, 0.28, 94.3, 0.3? 0.28 What is the nearest to 286 in 18/23, 1/5, 0.3? 18/23 Which is the nearest to -2/7? (a) -0.5 (b) 1/2 (c) 4 (d) 11941/3 a What is the closest to -2/7 in 4, -18.93, -3, -1/4, 1/9? -1/4 Which is the nearest to -2/7? (a) 120 (b) 5 (c) -3/7 (d) 2/461 c What is the closest to 1 in 0.1, 81, 2/7, -5/7? 2/7 Which is the closest to 0? (a) -1/2 (b) -21 (c) -49 a What is the nearest to 4 in -1148, 1/7, 5? 5 Which is the closest to 0? (a) -2/17 (b) 5175 (c) 0.4 a Which is the closest to -0.1? (a) -2 (b) 51 (c) 17 a Which is the nearest to 2/7? (a) -1 (b) 1 (c) -1589 b Which is the closest to 1? (a) -0.5 (b) 2 (c) 1.21 c Which is the nearest to -8? (a) 15 (b) -2 (c) 40 b Which is the nearest to 4/9? (a) -1 (b) -10 (c) -7 a What is the closest to 27.1 in 0.6, 0, -1/432? 0.6 What is the nearest to -19 in 3, -1/35, 1, -7, 1/5? -7 Which is the closest to -7? (a) 0 (b) 2 (c) 175 (d) -1/3 (e) -6 e What is the closest to -229 in -2/11, 0, -3? -3 What is the nearest to -1.3 in -0.4, 126, -2, 0? -2 What is the closest to 2 in -16, 0.4, 0.25, 4? 0.4 What is the nearest to -10 in 2/5, -5, -81, 1, 1/6? -5 Which is the nearest to -2/5? (a) -5/4 (b) 0.1 (c) 1586/7 b Which is the nearest to 1/3? (a) 1/27 (b) 14 (c) -0.4 (d) -3 a What is the nearest to -0.1 in 0.0302, 2/15, -75? 0.0302 What is the nearest to 15/7 in 0.2, 0.11, 3? 3 Which is the nearest to 1? (a) 5 (b) -1 (c) -0.2 (d) -362.9 c What is the nearest to -0.3 in 97/2, 0.1, -4/19? -4/19 What is the nearest to 3 in 2/3, 2440, 0.2? 2/3 What is the nearest to -1 in 4/3, 953, -2? -2 What is the closest to 19 in -0.2, 0, -1/21, 1/3? 1/3 What is the nearest to 4 in 2/49, -0.2, -3, 3? 3 Which is the nearest to 3/4? (a) 59 (b) 55 (c) 3 c What is the nearest to 2/7 in 2/11, -2/3, -4349? 2/11 Which is the nearest to 1? (a) -1 (b) -7 (c) 1/4 (d) -4 c Which is the closest to 1/2? (a) 4 (b) -13 (c) -98 a What is the closest to 28879 in 1/4, 4, 0.04, -4? 4 Which is the closest to 424? (a) 0.5 (b) -2/9 (c) -3 a What is the closest to 0.4 in 6, -0.2, -1/32? -1/32 What is the closest to -0.2 in 0.1, 1311, 2? 0.1 What is the closest to 1 in -2/5, 4, -0.5, -10/17, -7? -2/5 Which is the closest to -2? (a) -3/4 (b) 1/11 (c) 19 (d) 0.1 (e) -3 e What is the nearest to 1/2 in 12, -24, 82? 12 What is the nearest to 27 in -4, -0.5, 0.4, 2/9? 0.4 Which is the nearest to -5/12? (a) 5/4 (b) -3/4 (c) -1 (d) 6 b Which is the nearest to -49? (a) 4 (b) 0.098 (c) -5 (d) -2 c What is the closest to -0.09 in 2/3, -6/7, -1/6, 2? -1/6 What is the nearest to -2/7 in 24, -4, -7, 33, -1/3? -1/3 What is the closest to -2 in -57, 0.6, 3.5, 3? 0.6 Which is the nearest to 27? (a) 0.5 (b) -3 (c) 6 (d) -14 (e) 4 c Which is the closest to -98? (a) 49 (b) -1.1 (c) -2 (d) -0.1 c Which is the nearest to -3.9? (a) -3 (b) 2/7 (c) 5 (d) -4 (e) 2/3 d What is the nearest to 0 in -0.3, 2/3, -0.9, 262/25? -0.3 Which is the nearest to 1? (a) -734 (b) -0.2 (c) 101 (d) -4 (e) -1 b What is the closest to 2/5 in 4/9, -0.9, -99, 4, 10? 4/9 What is the closest to -0.07 in 6, 1/2, -0.2, -0.4? -0.2 What is the nearest to 9/10 in -2/4453, 0.3, 1/6, -5? 0.3 What is the nearest to -0.2 in -0.5, 1/846, -0.4? -0.4 Which is the closest to 1/3? (a) -8711 (b) -2 (c) -1/5 (d) 2 (e) -1 c What is the closest to 122 in -1/3, -10.7, 0.1, -5, -0.2? 0.1 Which is the nearest to 29/262? (a) 0.1 (b) -1 (c) 3 a What is the closest to 0 in 8/3, 0.7, -7.3, -4? 0.7 What is the nearest to -4 in -330, 7/5, 2? 7/5 What is the closest to 2 in -2, -19, 15? -2 What is the closest to 12 in -5, -21, 0, -2/5? 0 What is the closest to -1 in -13, -1, -1/2, 4, -2? -1 Which is the nearest to -0.1? (a) 1.228 (b) 3 (c) 502 a Which is the nearest to -2/9? (a) -1 (b) -15 (c) -800 a What is the closest to 0.1 in 1/39, 0.2, -0.2, 7? 1/39 Which is the closest to 0? (a) -0.3 (b) -8/9 (c) 0.204 (d) 1/2 c What is the nearest to 2/3 in -1/3, 16144/11, -0.1? -0.1 Which is the closest to -2? (a) 2 (b) -16 (c) 3 (d) 2/11 (e) 2/135 e Which is the closest to -1? (a) -149 (b) -2 (c) 0.12 (d) 1/3 b Which is the closest to -2? (a) -1351 (b) -11 (c) 0.1 c Which is the closest to 0.1? (a) 92 (b) -3 (c) 75 b What is the closest to -2/5 in -4, -2, -0.1, -5762.3? -0.1 What is the nearest to 126/41 in -2/3, -0.5, 5, -2/5, -4? 5 Which is the closest to 0.1? (a) 14 (b) 8/1085 (c) 1/9 (d) 2 (e) -0.1 c Which is the nearest to -0.1? (a) 0.21 (b) 1/2 (c) -1/3 (d) 0.1001 (e) 0.3 d What is the nearest to -68.9 in -1/4, -1/2, -0.02? -1/2 What is the closest to -27/4 in 26, -2/21, 41? -2/21 Which is the nearest to -1? (a) 7 (b) -0.2 (c) -1/1004 (d) -0.4 (e) 0 d Which is the nearest to 1? (a) -0.2 (b) -3/5 (c) 7 (d) -0.4 (e) -3/31 e Which is the closest to -1? (a) 1/4 (b) -5 (c) 0 (d) -6 (e) -91 c What is the closest to 0.1 in 0.4, 32.73, -5? 0.4 Which is the closest to 350? (a) 2 (b) 0.2 (c) 1 a Which is the closest to 0.0317? (a) 0 (b) 1/4 (c) 3 (d) -2/5 (e) 1/8 a What is the closest to 0.4 in 14, 0, 0.3, -0.0992? 0.3 What is the nearest to 2/29 in -0.6, 2/3, -2/3, -11, -4? 2/3 What is the nearest to -4 in -1/16, 0.01, 1, -5, -1/3? -5 What is the closest to 6 in 0.05, 5/319, -5? 0.05 Which is the nearest to 1? (a) 312/7 (b) 2/9 (c) -2 (d) 2/3 d What is the nearest to 17 in -0.07, -1/2, 2, 1/26? 2 Which is the nearest to 0.1? (a) 0 (b) 0.5 (c) -2/11 (d) 76.5 a Which is the nearest to 4? (a) -2 (b) 0.02 (c) 0.1 (d) -10 c What is the closest to -0.02 in 11, -0.03, 1/246? -0.03 Which is the nearest to 0? (a) -112 (b) 1/9 (c) 0.69 (d) 0 d Which is the closest to -1/541? (a) 2/7 (b) -16 (c) -1/13 c Which is the nearest to 2? (a) 3 (b) 28.3 (c) -0.9 (d) -5 a What is the nearest to 3/110 in 0.03, 0.4, 1/20, -4/3? 0.03 Which is the closest to -0.5? (a) -1/3 (b) 3/4 (c) 2 (d) 12/493 a What is the closest to -48/13 in 143/5, -4, 1? -4 What is the nearest to -73 in -0.01, -103/4, -5, -2/3? -103/4 What is the nearest to 3/5 in -1, -1/2, -5, -6/727? -6/727 Which is the closest to 220? (a) -0.1 (b) -3 (c) 5 (d) -0.3 (e) -2/149 c What is the nearest to -2/3 in 2/5, -0.1071, 2, 1? -0.1071 What is the nearest to 0 in 0.5, -213, 11, -3? 0.5 Which is the closest to -1/5? (a) 4 (b) 2 (c) -63 (d) -1/4 d What is the nearest to -1 in -3, -16.8, -1/6, -2, 0.1? -1/6 Which is the nearest to 0.21289? (a) 5 (b) 3 (c) 7 b What is the closest to -0.2 in -0.39, 5/3, 224, 1, 0.4? -0.39 What is the nearest to -568 in -1, -8, 0.3? -8 Which is the closest to 2? (a) -0.3 (b) -68 (c) -0.19 (d) 30 c What is the nearest to -2/13 in 9.4, -2, 2/3, -5? 2/3 What is the closest to -1 in 2, -48, 3? 2 What is the closest to -1154 in -0.1, 0.4, 3? -0.1 Which is the nearest to -0.1? (a) -9 (b) 0.1 (c) 14.2 (d) 2 (e) -0.1 e What is the nearest to -0.1 in -2, 4, -
{ "pile_set_name": "DM Mathematics" }
of i? 2 Let z = -7 + 9. Suppose 0*t = -z*t - 60. Let v = 3 - t. What is the units digit of v? 3 Suppose 0 = -4*z + 19 - 3. Suppose -3*l + i = 3*i - 254, 3*i + 367 = z*l. What is the tens digit of l? 8 Suppose 1881 = 5*y + z, 2*z = -y + 5*y - 1502. Suppose -3*s = -5*m + 634, 4*s = -0*m + 3*m - y. What is the hundreds digit of m? 1 Let l(a) = 3*a + 8. Let m be l(6). Suppose -13*v + 14*v - m = 0. What is the tens digit of v? 2 Suppose 2240 = 5*g - 5*l, 7 + 1 = 4*l. What is the units digit of g? 0 Let n be (-1 - ((1 - -4) + -3)) + 107. Suppose g = -5*x + n + 89, -g + 2*x + 158 = 0. What is the units digit of g? 8 Let w(t) = -214*t - 40. What is the tens digit of w(-7)? 5 Let v(k) = 36*k - 18. Let m be v(-6). Let i = -77 - m. What is the units digit of i? 7 Let w(y) = 2*y**3 - 7*y + 5. Let f be w(4). Let x = -18 + f. What is the tens digit of x? 8 Suppose k - 3 + 13 = 0. Let b be (-4)/k + 190/25. Suppose 2*j + b = 58. What is the tens digit of j? 2 Let a(r) = -r**2 - 45*r - 45. What is the tens digit of a(-24)? 5 Let d = 12 - 4. Suppose l - 3*c = -4*c + 100, c = -1. Suppose d - l = -3*f. What is the units digit of f? 1 Let o(q) = -q**2 - 21*q - 43. Let h = -59 - -43. What is the units digit of o(h)? 7 Let t(u) = 3*u**2 + 21*u + 63. What is the units digit of t(-18)? 7 Suppose 5 = 3*h + 47. Let x be ((-4)/h)/(5/35). Let k = x - -16. What is the units digit of k? 8 Let l = 121 + 5. Suppose 0 = 6*n + 3*n - l. What is the tens digit of n? 1 Let t(s) = 2*s**2 - 66*s + 108. What is the thousands digit of t(44)? 1 Let b = -10 + 29. Let r = 23 - b. What is the units digit of (r - 10)*-3 - -3? 1 Suppose 0 = 5*n - 4*n - 5. Suppose o + 152 = n*o. What is the units digit of o? 8 Let m = 45 + -47. Let u(b) = 25*b**2 + 3*b + 4. What is the units digit of u(m)? 8 Suppose -1058 = 3*w + 2*n - 5561, 0 = -5*w - 2*n + 7509. What is the thousands digit of w? 1 Let l(n) = 10*n**2 + 4*n - 4. Let p be l(1). What is the tens digit of (2 - p)*-16 - (2 - 3)? 2 What is the tens digit of (-3 + 70/21)*5505? 3 Let n(o) = 37*o - 1. Let m be n(3). Suppose -6*k + m = -70. What is the tens digit of k? 3 Suppose -3*r - 12 = -3*m, -4*m = -2*r - r - 9. Let l = r + 21. What is the units digit of l? 4 What is the units digit of 210/(((-6)/(-8))/((-10)/(-20)))? 0 Let r be 5 - 4/(2 - -2). Suppose r*h = 3*b + 89, 0*b + 5*b = 4*h - 95. What is the units digit of h? 0 Let k = 1095 - -1252. What is the units digit of k? 7 Suppose 82 = 17*p - 105. What is the tens digit of p? 1 Let v(l) be the second derivative of -l**4/12 + l**3/3 - 7*l. What is the units digit of v(1)? 1 Suppose -6 = -p + 3*p. Suppose -3*r = 3*g - 33, -13*r + 9*r = 5*g - 57. What is the units digit of (g*1)/(p/(-12))? 2 Suppose -84*k + 2552 = -80*k. Let c = k - 367. What is the units digit of c? 1 Suppose 4 = -2*i + 4*i. Suppose -4*n = -i*k + 6, -k + 4*k = n - 1. What is the units digit of n/(-10) - 336/(-70)? 5 Let k(g) = 397*g + 25. What is the hundreds digit of k(2)? 8 Let b be ((-4)/((-4)/(-1)) - 0) + 153. What is the hundreds digit of (195/26)/(6/b)? 1 Let y(p) = p**3 - 7*p**2 + 101*p + 44. What is the units digit of y(19)? 5 Let m = -115 + 119. Suppose -2*f - 113 = -3*v + 742, v - 285 = m*f. What is the hundreds digit of v? 2 Let u = 30 - 29. Let o be 0 + u - (-24)/12. Suppose -41 = -d - 0*s + s, o*s - 192 = -4*d. What is the units digit of d? 5 Let a(y) = -y**2 - 10*y - 8. Let t be a(-6). Let i = 39 - t. Suppose 2*v + i = 5*r - 63, 3*r - 3*v - 57 = 0. What is the tens digit of r? 1 Let v(w) = -6*w - 6 + 1 - w**2 + 16*w - 2*w**3. What is the tens digit of v(-5)? 7 Let v = 1140 - -623. What is the units digit of v? 3 What is the tens digit of 26/(208/1320)*13/3? 1 Suppose 568*h - 553*h = 10275. What is the tens digit of h? 8 Suppose 9674*i + 22624 = 9681*i. What is the hundreds digit of i? 2 Let i = -3557 + 6389. What is the hundreds digit of i? 8 Suppose 486*y - 13118 = 472*y. What is the units digit of y? 7 What is the hundreds digit of 2038/18*(-88 + 97)? 0 Let k = 422 + -233. Let i = k + -123. What is the tens digit of i? 6 Let b(m) be the third derivative of m**5/10 + m**4/8 + 5*m**3/2 + 30*m**2. What is the tens digit of b(-5)? 5 Let c(s) = -4 - s + 9 - 5*s - 6*s**2. Let u(t) = 7*t**2 + 7*t - 6. Let v(m) = -5*c(m) - 4*u(m). What is the units digit of v(-6)? 9 Let f(l) = 2312*l**2 + 2*l - 4. What is the units digit of f(-1)? 6 Suppose 2 - 92 = -5*x. What is the units digit of (-14)/(-63) - (-2588)/x? 4 Let f(y) = -1940*y - 7. What is the tens digit of f(-1)? 3 Suppose d = 5*w - 12628 - 11084, 4*w = -4*d + 18960. What is the thousands digit of w? 4 Let g(o) = 29*o**2 - 2*o - 15. Let q be g(4). Let u = 684 - q. What is the hundreds digit of u? 2 Let o be (-2)/(-4) - (665/(-14))/5. Let n(x) = -x**3 + 10*x**2 + 9*x - 1. What is the units digit of n(o)? 9 Suppose -13*z = 3*z - 39328. What is the thousands digit of z? 2 Suppose -2*i - 2*x + 4606 = 0, -4636 = -50*i + 48*i + 4*x. What is the tens digit of i? 0 Let c = 16 - 13. Suppose -q + 2*q = c*f - 16, 3*q = 5*f - 28. What is the units digit of 2 - 2 - (q + 0)? 1 Suppose 4 = -4*y - 24. Let o be y*(12/14)/(-2). Suppose 57 - 208 = -4*c + o*s, -c + 9 = 5*s. What is the units digit of c? 4 Suppose -1755 = -4*g + 2*a - 309, -4*g = 3*a - 1441. What is the hundreds digit of g? 3 Suppose 8*s - 571 = 789. What is the tens digit of s? 7 Suppose -4*q + 12 = -0. Let n(r) = 32*r + 8. What is the hundreds digit of n(q)? 1 Let g = 465 + -236. What is the units digit of g? 9 Suppose 0 = -5*r + 4*r + 5*r. Suppose 8*m + 129 - 441 = r. What is the units digit of m? 9 Let i be (-1 - (-78)/(-18))*(-27)/6. Let b = i - -132. What is the hundreds digit of b? 1 Let c(w) = w**2 + 8*w - 5. Let g be c(-9). Suppose -182 = -2*n + g. What is the tens digit of n? 9 Suppose -5*x + 734 = 4*z, -221 - 501 = -4*z + x. What is the units digit of z? 1 Let q = 4 + 1. Suppose 2 = 2*j - d - 8, 2*d = q*j - 27. Suppose j*h - 4*h = 123. What is the tens digit of h? 4 Suppose 2*o - 5*g - 326 = -10*g, 5*o + 5*g = 800. What is the hundreds digit of o - (5 - 5 - 5)? 1 Suppose -4507 = -14*x + 7225. What is the tens digit of x? 3 Suppose -2*q = -3*n - 25, -4 = q - 0. Let o(l) = -l**3 - 11*l**2 - 7*l - 13. What is the tens digit of o(n)? 6 Let w be 0 - (-4)/(-2) - -6. Suppose -k = -2, -13 = w*i + i + k. What is the units digit of (-16)/((-6)/3) + i? 5 Suppose -8*k + 21*k - 520 = 0. Suppose -k + 8 = -2*i. What is the units digit of i? 6 Suppose -77 - 1763 = -10*c. What is the tens digit of c? 8 Suppose -4*u + u = -42. Let k(i) = -i**2 + 17*i - 15. What is the tens digit of k(u)? 2 Suppose -4*l = -6*l + 1010. What is the tens digit of l? 0 Suppose 31 + 25 = 7*h. What is the tens digit of (2/h)/((-4)/(-848))? 5 Suppose u = 5*o - 9, -3*u - 3*o + 30 = o. Let s = 8 - u. Suppose 3*z - 23 = s*z. What is the tens digit of z? 2 Suppose 9*r = -4*r + 37635. What is the thousands digit of r? 2 Let d = -164 - -72. Let n = d + 123. What is the tens digit of n? 3 Let q = -12 + 20. Let b be 4/q - (-23)/2. Let g = b - -4. What is the tens digit of g? 1 Let q = 101 - -318. What is the tens digit of q? 1 Let a(t) = t - 4. Let l be (-13)/(-2) - 2/(-4). Let g be a(l). Suppose 2*n = -g*v + 7*n + 32, 5*n - 10 = 0. What is the tens digit of v? 1 Let j(x) = x**3 - 9*x**2 - 6*x - 13. Suppose -9*g + 10 = -8*g. What is the tens digit of j(g)? 2 Let m = 6890 - 1770. What is the hundreds digit of m? 1 What is the tens digit of (-20)/(-3)*(-1008)/(-105)? 6 Let v(h) = -h**2 + 4*h + 3. Let m be v(4). Suppose 4*j = m*w - 20, 5*j + 0*j + 25 = 0. Suppose w = 4*f - 0*f - 36. What is the units digit of f? 9 Let f(q) = 8*q**2 - 4*q - 14. What is the hundreds digit of f(6)? 2 Let q(d) = -d**3 + 20*d**2 - 14*d - 43. Let v(t) = t**2 + t + 19. Let p be v(0). What is the tens digit of q(p)? 5 Suppose -3*r - 29 = -95. Suppose -5*n + 598 = -r. What is the hundreds digit of n? 1 Suppose 20 = 2*q + q - 4*d, -5*q + 2*d = -10. Let o(j) = -j**3 + j + 58. Let k be o(q). Suppose -6*i = -4*i - k. What is the units digit of i? 9 Suppose 3238 = r - 104*k + 102*k, -2*k = -4*r + 12928. What is the thousands digit of r? 3 Let b(a) = -2*a**2 - 17*a + 10. Let n be b(-8). Suppose 3*l - 3*y = -2*l + 37, -n = -2*l - 2*y. What is the units digit of l? 8 Let w(a) = 4*a - 9. Let t b
{ "pile_set_name": "DM Mathematics" }
20 is divided by 21? 16 What is the remainder when 604 is divided by 12? 4 Calculate the remainder when 13726 is divided by 199. 194 Calculate the remainder when 50 is divided by 27. 23 What is the remainder when 314 is divided by 15? 14 What is the remainder when 89 is divided by 5? 4 What is the remainder when 19798 is divided by 300? 298 What is the remainder when 127 is divided by 52? 23 What is the remainder when 2043 is divided by 73? 72 What is the remainder when 147 is divided by 15? 12 What is the remainder when 223 is divided by 40? 23 What is the remainder when 46 is divided by 34? 12 Calculate the remainder when 24 is divided by 4. 0 What is the remainder when 90 is divided by 32? 26 What is the remainder when 1325 is divided by 121? 115 Calculate the remainder when 756 is divided by 45. 36 What is the remainder when 18305 is divided by 81? 80 What is the remainder when 204 is divided by 19? 14 Calculate the remainder when 13788 is divided by 16. 12 What is the remainder when 161 is divided by 21? 14 Calculate the remainder when 230 is divided by 32. 6 Calculate the remainder when 171 is divided by 85. 1 Calculate the remainder when 1118 is divided by 40. 38 Calculate the remainder when 299 is divided by 59. 4 What is the remainder when 1185 is divided by 146? 17 What is the remainder when 991 is divided by 122? 15 Calculate the remainder when 208 is divided by 24. 16 Calculate the remainder when 39 is divided by 18. 3 What is the remainder when 194 is divided by 24? 2 Calculate the remainder when 238 is divided by 30. 28 Calculate the remainder when 1014 is divided by 34. 28 What is the remainder when 21 is divided by 5? 1 What is the remainder when 8429 is divided by 30? 29 What is the remainder when 12 is divided by 11? 1 Calculate the remainder when 421 is divided by 81. 16 What is the remainder when 92 is divided by 73? 19 What is the remainder when 2389 is divided by 342? 337 Calculate the remainder when 2274 is divided by 120. 114 What is the remainder when 693 is divided by 24? 21 Calculate the remainder when 342 is divided by 102. 36 Calculate the remainder when 578 is divided by 150. 128 Calculate the remainder when 146 is divided by 25. 21 Calculate the remainder when 371 is divided by 125. 121 What is the remainder when 944 is divided by 309? 17 Calculate the remainder when 24 is divided by 5. 4 Calculate the remainder when 1483 is divided by 216. 187 Calculate the remainder when 2125 is divided by 152. 149 Calculate the remainder when 40 is divided by 7. 5 What is the remainder when 3079 is divided by 308? 307 What is the remainder when 2452 is divided by 608? 20 What is the remainder when 8045 is divided by 161? 156 What is the remainder when 309 is divided by 76? 5 What is the remainder when 6818 is divided by 11? 9 Calculate the remainder when 80 is divided by 17. 12 What is the remainder when 289 is divided by 92? 13 Calculate the remainder when 8127 is divided by 16. 15 Calculate the remainder when 142 is divided by 16. 14 Calculate the remainder when 778 is divided by 196. 190 Calculate the remainder when 1100 is divided by 46. 42 What is the remainder when 410 is divided by 130? 20 What is the remainder when 73 is divided by 19? 16 Calculate the remainder when 445 is divided by 56. 53 What is the remainder when 177 is divided by 91? 86 Calculate the remainder when 41 is divided by 9. 5 Calculate the remainder when 53 is divided by 45. 8 Calculate the remainder when 261 is divided by 98. 65 What is the remainder when 3427 is divided by 127? 125 Calculate the remainder when 264 is divided by 91. 82 What is the remainder when 760 is divided by 7? 4 Calculate the remainder when 3753 is divided by 7. 1 What is the remainder when 15 is divided by 13? 2 What is the remainder when 895 is divided by 26? 11 Calculate the remainder when 206 is divided by 98. 10 What is the remainder when 642 is divided by 94? 78 Calculate the remainder when 113 is divided by 64. 49 Calculate the remainder when 219 is divided by 37. 34 Calculate the remainder when 106 is divided by 15. 1 What is the remainder when 704 is divided by 253? 198 What is the remainder when 374 is divided by 13? 10 What is the remainder when 1412 is divided by 9? 8 What is the remainder when 64 is divided by 36? 28 Calculate the remainder when 313 is divided by 64. 57 Calculate the remainder when 1381 is divided by 105. 16 What is the remainder when 140 is divided by 47? 46 Calculate the remainder when 160 is divided by 50. 10 Calculate the remainder when 504 is divided by 164. 12 What is the remainder when 1070 is divided by 110? 80 Calculate the remainder when 164 is divided by 78. 8 Calculate the remainder when 5116 is divided by 43. 42 Calculate the remainder when 6931 is divided by 2309. 4 What is the remainder when 6365 is divided by 18? 11 Calculate the remainder when 2620 is divided by 13. 7 What is the remainder when 35 is divided by 9? 8 What is the remainder when 1610 is divided by 4? 2 What is the remainder when 30 is divided by 16? 14 Calculate the remainder when 5876 is divided by 40. 36 What is the remainder when 1023 is divided by 54? 51 Calculate the remainder when 195 is divided by 53. 36 Calculate the remainder when 266 is divided by 69. 59 What is the remainder when 274 is divided by 84? 22 What is the remainder when 960 is divided by 211? 116 Calculate the remainder when 2472 is divided by 812. 36 What is the remainder when 1017 is divided by 68? 65 What is the remainder when 242 is divided by 139? 103 Calculate the remainder when 667 is divided by 56. 51 What is the remainder when 207 is divided by 71? 65 Calculate the remainder when 434 is divided by 142. 8 Calculate the remainder when 130 is divided by 34. 28 What is the remainder when 3165 is divided by 41? 8 What is the remainder when 93 is divided by 36? 21 What is the remainder when 1520 is divided by 1518? 2 Calculate the remainder when 61 is divided by 1. 0 Calculate the remainder when 199 is divided by 68. 63 Calculate the remainder when 700 is divided by 352. 348 What is the remainder when 90478 is divided by 435? 433 Calculate the remainder when 1313 is divided by 49. 39 What is the remainder when 131 is divided by 46? 39 Calculate the remainder when 237 is divided by 24. 21 Calculate the remainder when 2295 is divided by 10. 5 Calculate the remainder when 1088 is divided by 13. 9 Calculate the remainder when 752 is divided by 63. 59 What is the remainder when 6060 is divided by 7? 5 What is the remainder when 505 is divided by 39? 37 Calculate the remainder when 1117 is divided by 555. 7 What is the remainder when 7587 is divided by 23? 20 Calculate the remainder when 964 is divided by 34. 12 Calculate the remainder when 183 is divided by 37. 35 Calculate the remainder when 224 is divided by 45. 44 What is the remainder when 35 is divided by 9? 8 What is the remainder when 7198 is divided by 225? 223 Calculate the remainder when 629 is divided by 99. 35 Calculate the remainder when 2013 is divided by 52. 37 Calculate the remainder when 18 is divided by 10. 8 What is the remainder when 309 is divided by 35? 29 What is the remainder when 234 is divided by 60? 54 What is the remainder when 386 is divided by 30? 26 What is the remainder when 75 is divided by 52? 23 What is the remainder when 1254 is divided by 37? 33 Calculate the remainder when 188 is divided by 23. 4 What is the remainder when 55694 is divided by 141? 140 Calculate the remainder when 2673 is divided by 1331. 11 What is the remainder when 160 is divided by 14? 6 What is the remainder when 499 is divided by 126? 121 Calculate the remainder when 497 is divided by 6. 5 What is the remainder when 67 is divided by 24? 19 Calculate the remainder when 345 is divided by 91. 72 Calculate the remainder when 778 is divided by 175. 78 What is the remainder when 443 is divided by 37? 36 Calculate the remainder when 273 is divided by 254. 19 What is the remainder when 18 is divided by 7? 4 What is the remainder when 615 is divided by 177? 84 What is the remainder when 1449 is divided by 95? 24 What is the remainder when 11644 is divided by 128? 124 What is the remainder when 485 is divided by 27? 26 What is the remainder when
{ "pile_set_name": "DM Mathematics" }
13) + 187209 Simplify (sqrt(153) - sqrt(153)*1) + -5 + sqrt(153) + 0 + sqrt(153) + -1 - ((sqrt(153)*2 + 2)*4)**2. -9862 - 378*sqrt(17) Simplify ((sqrt(1980)*-2*-4)/(sqrt(5) + (2*sqrt(80) - sqrt(80)) + sqrt(405)))**2. 6336/49 Simplify (sqrt(475) + -1 + -4 + sqrt(475) - sqrt(475) - sqrt(475))**2 - (4 + -1*sqrt(171)). 3*sqrt(19) + 21 Simplify 5 + (-2*sqrt(117))**2*5 + 5*((sqrt(13) + sqrt(143)/(sqrt(11)*-1))**2 - sqrt(13) - sqrt(13)). -10*sqrt(13) + 2345 Simplify (-4*5*(sqrt(8)*2 + 3 + 1))**2. 12800*sqrt(2) + 19200 Simplify -1*sqrt(1872)*-6 + -3 - -1*(sqrt(1573) - sqrt(1573)*2)**2*2. 72*sqrt(13) + 3143 Simplify ((sqrt(187)*-1*5 - 4*1*sqrt(187))/(sqrt(396) + sqrt(396)*1 + -2*sqrt(11)*-4))**2. 1377/400 Simplify (-5*(2*sqrt(640) + sqrt(640) - sqrt(640))/sqrt(5) - (5*(sqrt(90) + sqrt(10)))/(sqrt(125) - ((sqrt(125) - -2*sqrt(125)) + sqrt(125)) - sqrt(125)))**2. 12482 Simplify (-2*(1 + 1 + sqrt(208) + sqrt(208)*1 + sqrt(208)*4*-1))**2. -128*sqrt(13) + 3344 Simplify -3*4*(5*(sqrt(76) + -1))**2. -23100 + 1200*sqrt(19) Simplify (sqrt(170)/(1*sqrt(10)) - (sqrt(612) + 2))**2 - (1*sqrt(272) + (sqrt(34) - sqrt(850))/sqrt(2)). 20*sqrt(17) + 429 Simplify 3 + ((sqrt(405) + -1 + -3 + sqrt(405))*4 + 4)**2. -1728*sqrt(5) + 26067 Simplify 0 + sqrt(208) + (-1*-1*sqrt(13))**2 + 5 + (3 + sqrt(1872))**2. 76*sqrt(13) + 1899 Simplify -6*((-6*sqrt(132))/sqrt(3) + 2*sqrt(1584)). -72*sqrt(11) Simplify 4 + -6*(sqrt(26)/(sqrt(8)/(sqrt(4) - (-2*sqrt(4) + sqrt(4)))) + (-5*-2*sqrt(117))/sqrt(9)). -72*sqrt(13) + 4 Simplify (sqrt(224)*-4 - sqrt(224))/(2*sqrt(28)). -5*sqrt(2) Simplify (-1 + sqrt(147)*-2 + -2 + (2 + sqrt(147))*6 + 4)**2. 728*sqrt(3) + 2521 Simplify (-5 + sqrt(833) + sqrt(833) + sqrt(833)*3 + 3 + -5)**2. -490*sqrt(17) + 20874 Simplify (sqrt(405) + 3*(sqrt(405)*2 - sqrt(405)) + sqrt(405) + sqrt(405) + (sqrt(405) - (5 + sqrt(405) + 1)) + sqrt(405) - (5 + 5*(-1 + sqrt(405))))**2. -216*sqrt(5) + 1656 Simplify -1 + (sqrt(2) - (1 + sqrt(200) - sqrt(2))**2)*-5 + ((sqrt(242) + (sqrt(242) - (sqrt(242) + 0 + sqrt(242)) - sqrt(242)))**2*-3 - sqrt(242))*4. -2090 + 41*sqrt(2) Simplify (sqrt(405)*-1 + 4)**2 - (sqrt(720) + (-1 + sqrt(720))**2)*-1. -84*sqrt(5) + 1142 Simplify ((sqrt(25) - sqrt(50)/sqrt(2))*4 - sqrt(25))/(-2*sqrt(245))*-2. -sqrt(5)/7 Simplify 3*(sqrt(7) + 0 + sqrt(7) + -3 - (3 + sqrt(448)))*-5. 90 + 90*sqrt(7) Simplify -4*((sqrt(567)*-1)/(sqrt(81)*-1 + sqrt(9))*2)**2. -252 Simplify sqrt(102)/(2*sqrt(486))*-5 - ((sqrt(136) + (sqrt(136)*-1 + sqrt(136))*5)/(sqrt(32)/(-2*sqrt(4)) + sqrt(8) - sqrt(8)))**2. -68 - 5*sqrt(17)/18 Simplify (sqrt(44)/sqrt(64) + sqrt(539) + -1)**2 - (sqrt(11)*-1*-2 + sqrt(11) + 5). -35*sqrt(11)/2 + 9187/16 Simplify (sqrt(117)/(sqrt(9) - sqrt(1296)*1) - ((sqrt(104) - (sqrt(104) + 2*sqrt(104))*-3) + sqrt(104) + sqrt(104) + sqrt(104))/sqrt(8))*1. -144*sqrt(13)/11 Simplify (-3*-3*sqrt(119)*1)/(4*(sqrt(1008) - (sqrt(1008)*-1 + sqrt(1008)) - sqrt(1008)) - sqrt(1008))*-5. 15*sqrt(17)/4 Simplify (sqrt(1280)*-2)/(5*sqrt(640)). -2*sqrt(2)/5 Simplify (4*((sqrt(700) - (1 + (sqrt(700) - (sqrt(700) + 2)))) + (sqrt(700) - (sqrt(700) + -2)) + -4))**2. -320*sqrt(7) + 11216 Simplify ((sqrt(30)/sqrt(3))/sqrt(2) - (-2*sqrt(500))**2) + (1*sqrt(2420))**2. sqrt(5) + 420 Simplify ((sqrt(84) + sqrt(84)*-5)*-1)/(5*sqrt(192)). sqrt(7)/5 Simplify (sqrt(91) + (sqrt(91) - sqrt(91)*-2*-6))/(sqrt(847)*4 - sqrt(847)). -10*sqrt(13)/33 Simplify (sqrt(76) - 1*sqrt(76)*-1) + -2*((2*sqrt(76))**2 - sqrt(76)) + -3 + (2 + sqrt(171) + 1)**2. -431 + 26*sqrt(19) Simplify -3*sqrt(1331) + 4 + 3*(sqrt(1331) + -1 + sqrt(1331))**2. -165*sqrt(11) + 15979 Simplify (sqrt(756) - 3*sqrt(756)*2)/(4*(sqrt(3) + sqrt(3)*3*2)). -15*sqrt(7)/14 Simplify (1 + 3 + -2*sqrt(2448))**2 + 2*(1*(sqrt(2448) + sqrt(2448) + 2))**2. 29400 Simplify (sqrt(32)/(sqrt(22)/(-2*sqrt(11))))/(sqrt(72)/(sqrt(144) - sqrt(144)*-2)). -24*sqrt(2) Simplify -5 + 4 + -2*(-5*(sqrt(75) - (0 + sqrt(75)))*-3)**2. -1 Simplify 6*(0 + (4*sqrt(19)*4 - -4*sqrt(1539)))**2. 308256 Simplify 4 + sqrt(2057) + -1 - (-5 + 1 + sqrt(272)). 7 + 7*sqrt(17) Simplify ((2*sqrt(1458))/(2*sqrt(9)*-5))**2*-4*1. -648/25 Simplify 2*((sqrt(133) - sqrt(133)*-1 - sqrt(133) - sqrt(133))*-6)/(sqrt(42)/sqrt(6)*2). 0 Simplify -2 + sqrt(11)*-1 + -5 + (2*(sqrt(891) + 1))**2 + sqrt(891). 80*sqrt(11) + 3561 Simplify 4*(-5 + 5*-1*(sqrt(72) - (3 + sqrt(72)))**2*6). -1100 Simplify sqrt(28)/(1*sqrt(324) + sqrt(324) + sqrt(324)) + ((sqrt(175) + -1)*-4)**2. -4319*sqrt(7)/27 + 2816 Simplify (-3 + -3*(sqrt(700)*-3 + 2))**2. -1620*sqrt(7) + 56781 Simplify sqrt(1539) + 1 + sqrt(1539) + 4 - (sqrt(1539)*-2 + 2). 3 + 36*sqrt(19) Simplify ((-4 + (-2*sqrt(700) + 5 - (sqrt(700) + 2 + (sqrt(700)*-3 - sqrt(700)))))*-6)**2. -720*sqrt(7) + 25236 Simplify (5 + sqrt(704) + 0 + 3)*6. 48 + 48*sqrt(11) Simplify -2 + -5*(3 + 5 + (((sqrt(7) + -2 + sqrt(7))*2)**2 - sqrt(7))). -682 + 165*sqrt(7) Simplify -4*(sqrt(85)/(sqrt(5)*-1*-4) + (sqrt(612) - (sqrt(612) - -1*sqrt(612))) + sqrt(612) + -1)**2*5. -165/4 + 10*sqrt(17) Simplify (-6*((sqrt(242)*-1)/sqrt(11))/(sqrt(11) - -4*sqrt(44))*2)**2. 32/9 Simplify (1*(sqrt(52)*-2 - (-1 + sqrt(13)*2))*-1)**2. -12*sqrt(13) + 469 Simplify ((sqrt(250)*3)/sqrt(10)*-4)/((sqrt(5) - sqrt(605)*-4)*-1). 4*sqrt(5)/15 Simplify (((1*sqrt(288) + sqrt(288))*1 + (sqrt(288) + 1*sqrt(288))*1)*-6)**2. 165888 Simplify (sqrt(75)/sqrt(3)*-2)/(2*sqrt(605))*2. -2*sqrt(5)/11 Simplify ((sqrt(704)*-4*3 + sqrt(704))**2 - (sqrt(33)/sqrt(3)*-4 + 2)) + -2. 4*sqrt(11) + 85180 Simplify (1*sqrt(147)*1 + (sqrt(6) + sqrt(216) - sqrt(6))/sqrt(2)*-2)**2. 75 Simplify (2*sqrt(24)*-2*6)/(sqrt(16)/sqrt(72)*-4). 36*sqrt(3) Simplify 2 + sqrt(3888) + sqrt(3888) + (1 + sqrt(48))**2 + -2 + -3 + 4. 50 + 80*sqrt(3) Simplify 4*(-2 + (sqrt(171) + 0)**2 + sqrt(171) + 2). 12*sqrt(19) + 684 Simplify (1*(sqrt(17)*-3*1 + sqrt(85)/(sqrt(5)*4)))**2. 2057/16 Simplify (-5*sqrt(245)*-2*3)**2 - ((sqrt(180) - (sqrt(180) - (sqrt(180) + sqrt(180)*-1)*2))/sqrt(4))**2. 220500 Simplify (3 + -5 + -2 + 2*sqrt(112) + 3)**2. -16*sqrt(7) + 449 Simplify -4*(sqrt(15)*3*-6)/(sqrt(3)*4*-1). -18*sqrt(5) Simplify ((2*sqrt(65))/sqrt(5))**2*-5 - (-1 + (-2 + sqrt(13))*-5). -269 + 5*sqrt(13) Simplify (sqrt(38) - 2*sqrt(38))/sqrt(2) + -2 + (sqrt(304) + -3 + sqrt(304)*-2)**2 + -1. 23*sqrt(19) + 310 Simplify (sqrt(21) + 5*sqrt(63)/sqrt(3) - (sqrt(21) - (sqrt(21) + -1*sqrt(336))))/(((sqrt(7) - sqrt(63)) + sqrt(7))*6*2). -sqrt(3)/6 Simplify 3 + (6*sqrt(60)*1)/(sqrt(192)*-5). -3*sqrt(5)/10 + 3 Simplify -3 + 1*sqrt(72) + (5 + sqrt(162) + -2 + sqrt(162) + sqrt(162))**2. 168*sqrt(2) + 1464 Simplify 4*(sqrt(200) + -1 + -3 + (sqrt(200) + -1)*-3 + 0)**2. 160*sqrt(2) + 3204 Simplify (sqrt(6) - (sqrt(30)/sqrt(5) - sqrt(6))*6)/(sqrt(3) - sqrt(243)*2 - sqrt(3)). -sqrt(2)/18 Simplify (sqrt(85) + sqrt(85) + sqrt(85)*2*5 + sqrt(85) + sqrt(85) + -5*-2*sqrt(85) + sqrt(85))/(-6*(sqrt(5) - sqrt(605)*-1)). -25*sqrt(17)/72 Simplify (2*(-3*sqrt(80) + -4)*-2)**2. 1536*sqrt(5) + 11776 Simplify -2 + ((-2 + sqrt(1584) + sqrt(1584))**2*5 + sqrt(1584))*3. -1404*sqrt(11) + 95098 Simplify (3 + ((sqrt(1216)*3 - sqrt(1216)) + -4 - (sqrt(1216) + -2 + 4*sqrt(1216))))**2. -48*sqrt(19) + 10945 Simplify ((sqrt(48) + 0)*2)**2*6 - (sqrt(12)*-2*3)/(sqrt(400) + sqrt(400)*1). 3*sqrt(3)/10 + 1152 Simplify (-4*(sqrt(180) + -1 + -4 + 6*2*sqrt(180))*-2)**2*2. -99840*sqrt(5) + 3896960 Simplify -3 + -1 + sqrt(272) + sqrt(272) + sqrt(17) + (sqrt(17) - (sqrt(612) + -1)) + sqrt(17) + sqrt(17) - (1 + sqrt(425))**2*2*1. -855 - 14*sqrt(17) Simplify ((sqrt(91) + sqrt(91)*-3)*-5)/(sqrt(21)/sqrt(3)*-4 + sqrt(7)) + -1. -10*sqrt(13)/3 - 1 Simplify (-1 + 3*-1*(sqrt(72) + (3 + sqrt(72))*-3))**2. 1872*sqrt(2) + 3268 Simplify 5 + 2 + sqrt(104)/(-1*sqrt(8)*-1). sqrt(13) + 7 Simplify (-3*(sqrt(39)/sqrt(3)*3 - sqrt(13))*4)**2 + -3. 7485 Simplify (3*(sqrt(6) - (sqrt(600) + (sqrt(600)*1 - sqrt(600) - sqrt(600)))))/(-4*(sqrt(2) - -6*sqrt(2)*1)). -3*sqrt(3)/28 Simplify (sqrt(484) - (sqrt(484) - -5*sqrt(484)*-2))/(sqrt(14)/sqrt(63) + (sqrt(2) - 3*-2*sqrt(2))). 15*sqrt(2) Simplify (sqrt(190)/((sqrt(20) + -1*sqrt(20))/sqrt(2) - sqrt(10)) - (sqrt(1900)*4 + 5)) + 0. -41*sqrt(19) - 5 Simplify (sqrt(5) - (0 + (sqrt(5)*-2)**2)) + 4 + sqrt(60)/(sqrt(12) + sqrt(432) + -1*sqrt(432) + sqrt(12)). -16 + 3*sqrt(5)/2 Simplify (s
{ "pile_set_name": "DM Mathematics" }
2/(-10)). Solve -o*b = -7*b + 10 for b. 2 Suppose -9*u + 30 = u. Solve 2*r = -u*r - 15 for r. -3 Let a(j) be the first derivative of -1/4*j**4 + 0*j - 2 + 4/3*j**3 - j**2. Let s be a(3). Solve s*b + b = 8 for b. 2 Let i(l) = 2*l**3 + 99*l**2 - 151*l + 117. Let d be i(-51). Solve y = 4*y + d for y. -5 Let s(u) = u**2 - 3*u - 10. Let w be 19/38*(11 - 1). Let v be s(w). Suppose -2*p + 5*p - 6 = v. Solve 0 = 3*b + p*b for b. 0 Let c(o) = o - 1. Let x be c(5). Let q(b) = -5*b**3 + b**2 + b + 1. Let h be q(-1). Let w(y) = 109*y + 547. Let j be w(-5). Solve -h - j = x*z for z. -2 Let i = -3 - -35. Let m = i + -32. Let w = 0 + 0. Solve w*x - x - 3 = m for x. -3 Let g(t) = 2*t**2 + 14*t + 14. Let d be g(-6). Solve -d*y = 4*y for y. 0 Let x = -24 - -8. Let l = -7 - x. Solve l = 5*g - 2*g for g. 3 Suppose -5*b + 8*b - c - 203 = 0, 0 = -4*b - 2*c + 264. Let t = -64 + b. Solve 0 = -t*x + x for x. 0 Let r be (-2)/6*(-12 + 0). Suppose -h - 2 = -3*h, r*l - 50 = -2*h. Let z be l/(-36)*(1 - 7). Solve -z*o = o - 15 for o. 5 Let n = 207 - 203. Solve -5*l = -l - n for l. 1 Let y(a) = a**2 - 15*a - 46. Let q be y(18). Solve 6*f - 4*f - q = 0 for f. 4 Let q(f) = f**3 + 3*f**2 + 3*f + 6. Let o be q(0). Solve o + 78 = -21*d for d. -4 Let k(f) = -f + 13. Let g be k(7). Let l be (1 - 10/15)*g. Solve -4*y + 2 = -l*y for y. 1 Let a(d) = 5*d**2 + 40*d - 39. Let q be a(1). Solve 2*l - q*l = 12 for l. -3 Let x(h) = h**3 + 7*h**2 + 7*h + 11. Let p be x(-5). Solve 27*i = p*i + 1 for i. 1 Let k(y) = 4*y + 3. Let n be k(2). Suppose 0 = 12*b - n*b + 2. Let z be (-2)/(((-6)/b)/(-6)). Solve -z*m + 6 = -14 for m. 5 Let y = 5 - 2. Suppose y*j = 2*q - 3, 3*q - 4*q - 2 = 2*j. Suppose 0 = -t - q*t. Solve -u - 1 - 1 = t for u. -2 Suppose 4*f = 2*m + 12, 0 = -4*f + 28 - 8. Let x(b) = -b. Let n(i) = 2*i + 2. Let r be n(-2). Let h be x(r). Solve -h*s + m*s = 0 for s. 0 Let o = 227 + -160. Let j = o + -67. Solve 5 = -h - j for h. -5 Suppose -5*v + 4*w + 66 = -10*v, -2*v + 4*w - 4 = 0. Let g(y) = 2*y**2 + 20*y. Let t be g(v). Solve t = 2*x + 5 - 3 for x. -1 Let v(q) = 2*q**3 + 54*q**2. Let j be v(-27). Solve 0 = -2*c + 6 - j for c. 3 Let f be (4/(-1))/(-2) - (-11 - -8). Let k be -5*f/10*-2. Solve 4*p - k = 7 for p. 3 Suppose 8*w - 19 = -3. Let y(d) = 2*d - 6. Let m be y(5). Solve -m = w*t + 4 for t. -4 Suppose -5*u - f + 0*f + 64 = 0, 0 = 3*f + 3. Suppose 0 = u*m - 8*m - 25. Solve 0 = -0*w - w - m for w. -5 Suppose 2*g + 2*r = 6, 5*g + 3*r - 30 + 9 = 0. Let o = -3 + 2. Let l = g + o. Solve 0 = -0*u - l*u for u. 0 Let k be ((-16)/(-6))/(4/6). Let j be -6*(-1)/k*2. Suppose z + 3*w + j = 0, 0*z = -3*z + 5*w + 33. Solve z = -2*f - f for f. -2 Suppose -3*l = 2*l - 40. Let u(v) = -6*v + 2. Let p be u(-3). Let i be (-3)/16 - (-11055)/2640. Solve -i*a = -p + l for a. 3 Suppose 5*f = 2*s - 66, 2*s - 113 = -s + 4*f. Solve 0 = -45*k + s*k + 6 for k. 3 Suppose -2*b + 42 = b - 3*n, -82 = -5*b - n. Solve 0 = 18*m - b*m for m. 0 Let y be 4/(14/(-4) + 3). Let j(x) = -x**2 - 4*x + 34. Let u be j(y). Solve u*d - 4*d + 6 = 0 for d. 3 Let r = 1092 + -1084. Solve 9*q - r + 26 = 0 for q. -2 Let b(l) = l + 8. Let x be b(-6). Let f(r) = -r**2 + 3*r + 1. Let m be f(x). Suppose -3*g + g + 14 = d, -m*g = -3. Solve -d + 4 = 2*o for o. -4 Let l(z) = 3*z + 20. Let q be l(-6). Suppose 0 = -0*c - q*c + 18. Let j be c/(5/10 + 1). Solve 4*w + j + 6 = 0 for w. -3 Suppose -7*m = -6*m - 2. Let d be 3/m - (-2)/4. Suppose 9*i = 5*i + 8. Solve -2*x + i = -d for x. 2 Suppose -2*q + 10 = y, 5*y - 11 = 9. Let h(k) = -4*k - 3*k + q*k. Let a be h(-5). Solve 0 = -2*j - 2*j + a for j. 5 Let h = 14 + -11. Suppose -h = -5*z + 4*z. Let q be 2 + (z - (3 - 0)). Solve 3 + q = -y for y. -5 Let v(n) = -2*n - 3. Let o be v(-3). Let d = -9 - -14. Suppose -7*f - d*j - 13 = -5*f, f = -4*j - 14. Solve -o*g - f = 9 for g. -5 Let w = 382 - 346. Solve 13*t - t = w for t. 3 Let m = 2 - 2. Let o(s) = 4*s**3 + 2*s**2 - 4*s + 3. Let t be o(1). Suppose m = -t*a - f + 5, -3*f + 5*f = -a + 10. Solve -2 = 2*w - a for w. -1 Let a be 100/(-36) + 6/(-27) + 15. Suppose -2 - 10 = -3*m, -5*o - a = -3*m. Solve o = -2*b - 1 + 11 for b. 5 Let o(w) = 5*w**2 - 1. Let x be o(-1). Suppose x*u - 2 = 10. Solve 16 = u*y + y for y. 4 Let l(x) = x - 12. Suppose -2*y + 28 = -3*d - 2, 5*y - 75 = -2*d. Let k be l(y). Suppose q + 3 = -c, 2*c - k*q - 8 = 1. Solve c = 4*v + v + 15 for v. -3 Let n be 2*4 + (-118)/(-2). Solve -63*o + n*o + 8 = 0 for o. -2 Suppose 12*m + 30 = 15*m. Let k be 72/m + (-8)/(-10). Solve 3*j = -j - k for j. -2 Let q = 789 - 789. Let j = 5 - 2. Solve -v - j = -q for v. -3 Let a(j) = -j**3 - 6*j**2 - 5*j - 29. Let m be a(-6). Solve 5 - m = -4*f for f. -1 Suppose -8 = 4*s - 4*x, 0*s - 14 = s - 4*x. Let k be ((-8)/12)/(2/(-3)). Solve 0 = -o + s*o - k for o. 1 Let q(f) = -3*f**3 + 2*f - 1. Let u be q(-2). Solve 0 = -6*d + u + 11 for d. 5 Suppose -8 = -9*t - 8. Solve t*p - 1 = -p for p. 1 Let t(k) = -9*k + 4. Let p be t(-8). Suppose 3*b = q - 19 - p, 0 = -5*b + q - 161. Let g be (-16)/(-6) - (-22)/b. Solve r = -0 + g for r. 2 Let j = -56 - -64. Suppose -12 - 13 = -5*g + 2*a, a + j = g. Solve 2*c + g = -1 for c. -2 Let w be (16/(-12))/(8/12). Let x be ((-40)/(-24))/(w/(-6)). Suppose 3*u - 5*b - 24 = -2*b, 0 = -u + x*b + 24. Solve -p + 5 = u*p for p. 1 Let i = 1351 + -1306. Solve -4*j + i = -19*j for j. -3 Let r be (1 - 0)*-2 - -2. Let o = -1754 + 1762. Solve -4*k = o - r for k. -2 Let n(f) = 12*f**2 + 2*f - 1. Let t(o) = 11*o**2 + 3*o - 2. Suppose 6*a - 2*a + 8 = 0. Let c(b) = a*t(b) + 3*n(b). Let j be c(1). Solve -4*p - p + j = 0 for p. 3 Suppose -709 = -v - 706. Solve -j = v*j - 20 for j. 5 Let u(j) = 17*j**3 - j**2 + 4*j - 4. Let f be u(1). Solve l + 3*l = -f for l. -4 Suppose -2*i = 18 + 18. Let w = i + 33. Solve 2*g - w = 7*g for g. -3 Suppose -65 = -4*t - y + 105, 0 = -3*t - 3*y + 123. Let o = t - 41. Solve 0 = r - o*r + 1 for r. 1 Let a = -27 + 23. Let z be (-10 - a)*(0 + 1). Let l = 9 + z. Solve 0 = -l*b + 3 for b. 1 Let l(q) = -q**2 - 6*q + 2. Let p be l(-8). Let j = -14 - p. Solve -h - 2 + 3 = j for h. 1 Let h = -98 - -106. Solve m = -h + 4 for m. -4 Let v(y) = y**2 + 17*y + 36. Let k be v(-16). Suppose -h + 6*h - k = 0. Solve 6 = -h*o - 6 for o. -3 Let d = -30 + 37. Suppose 4*l = 4*k - 20, -5*k = 6*l - 5*l - d. Solve -w = k*w for w. 0 Let z(q) = 17*q**2 + 13*q - 25. Let k be z(2). Solve -39 + k = 6*p for p. 5 Suppose 0 = 8*a + 74 - 114. Solve -a*p + 16 = -9 for p. 5 Let z(t) = -30 + t**3 - 11*t**2 + 41*t**2 - 18*t - 5 + 72*t. Let x be z(-28). Solve 5 = -4*d + x for d. 4 Suppose 152*v - 2 = 148*v - 2*y, -2*y + 2 = -2*v. Solve -c + 1 + 0 = v for c. 1 Let c = 13 - 12. Let y = -1 + c. Suppose -2*s = -y*s - 10. Solve -2*d + s = -5 for d. 5 Let s be (1 - 20/16)*-20. Suppose s*f = 3*b - 5, -2*b + 8 = -2*f + 2. Suppose 1 - 3 = -g. Solve -3*i = g - b for i. 1 Let i(f) = 3*f**2 + 11*f - 6. Let w be i(-8). Let t = -92 + w. Solve 0 = -3*q - t + 3 for q. -1 Let y be 120/50*(2 + (-3)/(-6)). Solve -q + y*q = -20 for q. -4 Suppose 0 = 17*x - 22*x - 150. Let d = x - -30. Solve d*n - 1 = n for n. -1 Suppose -5*n = 675 - 1745. Let r be -3 - (8/28 + n/(-14)). Solve -r = -2*w - w for w. 4 Let y = 4 + -2. Let j be (0 - 1)/(1/(-4)). Suppose 196*q - 203*q + 56 = 0. Solve -y*l + q = -j*l for l. -4 Let n be (-20)/(-30) - (-4)/(-6). Suppose -4*v + n*v = 8. Let o = v - -7. Solve p = 2 - o for p. -3 Suppose -5*m - 5*t + 51 = -9, 2*t = -5*m + 45. Let k be (-61)/(-4) - m/28. Solve k = -0*y + 5*y for y. 3 Suppose 5*x - 4 = 3*h, 4*x - 27 = -3*h + 2*h. Suppose h*n = 1 + 55. Solve -5*u + n*u = -12 for u. -4 Let h(i) = i**2 + 23*i + 65. Let w be h(-20). Solve -w*d + 16 = -9*d for d. -4 Suppose 0 = 8*n - 33 + 1. Solve 4*g = -2*g + n*g for g. 0 Let u = 159 + -155. Solve 5*x + u = x for x. -1 Let r(a) = a - 15. Let i be r(16). Suppose -f - i - 11 = -5*p, 3*p = 2*f + 3. Solve f - 15 = 3*x for x. -4 Suppose 0 = 5*r + d - 51, -d - 9 - 30 = -4*r. Solve r*h - 6*h = -12 for h. -3 Let u = -31 + 38. Let i(l) = -l**2 + 7*l + 4. Let t be i(u). Solve b = t*b for b. 0 Let j(k) = -k**3 - 15. Suppose 3*s - 3*z + 15 = 0, 0*s - 3*s + 2*z = 10. Let d be j(s). Let q = -12 - d. Solve -f - 2*f = -q for f. 1 Let q = -28 - -35. Solve -q = k - 10 for k. 3 Let h = 46 + -26. Let z = h - 16. Suppose -p + z*p = 0. So
{ "pile_set_name": "DM Mathematics" }
0 Round -2.34448647 to 3 dps. -2.344 Round -0.000377893648 to six decimal places. -0.000378 What is 236829.618 rounded to the nearest ten thousand? 240000 Round -6446.470797 to 1 decimal place. -6446.5 Round 0.000471422679 to 6 dps. 0.000471 Round 4458925.0859 to the nearest 100000. 4500000 Round -0.429187464 to 5 dps. -0.42919 Round 701.236073 to the nearest 100. 700 Round 65.433653 to the nearest 10. 70 Round 170282935 to the nearest one hundred thousand. 170300000 Round 3.64317711 to 4 decimal places. 3.6432 What is 0.0517269863 rounded to two dps? 0.05 Round -506481509 to the nearest 100000. -506500000 Round 1644212.76 to the nearest 100. 1644200 What is 5703.77145 rounded to the nearest one thousand? 6000 What is -2987.893178 rounded to 1 decimal place? -2987.9 What is 0.031260997 rounded to 2 dps? 0.03 What is 0.00145327838 rounded to 7 decimal places? 0.0014533 What is 2229.361252 rounded to the nearest ten? 2230 Round 30021670.8 to the nearest one million. 30000000 Round -56.326354 to two dps. -56.33 Round -246.494697 to the nearest one hundred. -200 Round -8235759.39 to the nearest 100000. -8200000 What is -613651775.9 rounded to the nearest ten thousand? -613650000 Round 66193396.51 to the nearest one thousand. 66193000 What is 1554.79721 rounded to the nearest ten? 1550 What is -80.927198 rounded to 1 decimal place? -80.9 What is -15991.4323 rounded to the nearest 1000? -16000 What is -0.01893067 rounded to 6 dps? -0.018931 What is -0.46812849 rounded to three dps? -0.468 Round -198.006201 to one dp. -198 What is -347178.8015 rounded to the nearest one hundred? -347200 What is 27.3761693 rounded to 1 dp? 27.4 What is 0.0000767485089 rounded to 6 decimal places? 0.000077 Round 301.490044 to the nearest 100. 300 Round -18.1436531 to 3 dps. -18.144 Round -59.89959 to zero dps. -60 What is 3074933.3 rounded to the nearest one million? 3000000 What is 8725.2831 rounded to the nearest 100? 8700 What is 1402571598.6 rounded to the nearest one hundred thousand? 1402600000 Round 2953248.762 to the nearest one hundred. 2953200 Round 0.000002872327569 to seven dps. 0.0000029 What is 25.1325343 rounded to one decimal place? 25.1 Round -62.694072 to the nearest ten. -60 Round 75.81365243 to the nearest integer. 76 What is 0.0000105667547 rounded to 6 decimal places? 0.000011 Round -80683.605 to the nearest ten thousand. -80000 What is -0.00000040888506 rounded to six decimal places? 0 What is 0.00538248935 rounded to 6 decimal places? 0.005382 What is 10.109554647 rounded to 2 dps? 10.11 What is -0.914040296 rounded to three dps? -0.914 Round 0.005536962867 to 3 dps. 0.006 Round -14966484.3 to the nearest 10000. -14970000 Round 0.219772724 to 2 decimal places. 0.22 Round 843921.25 to the nearest one hundred thousand. 800000 What is -0.09497359906 rounded to 6 dps? -0.094974 What is 3491.5154 rounded to the nearest 1000? 3000 Round -5028.1577 to the nearest one hundred. -5000 What is -0.0663498058 rounded to 2 decimal places? -0.07 What is 252619.5949 rounded to the nearest one hundred thousand? 300000 What is 0.0000110706126 rounded to 6 decimal places? 0.000011 What is -67026558.3 rounded to the nearest ten thousand? -67030000 What is 0.0158580988 rounded to six decimal places? 0.015858 What is 400.14007 rounded to one dp? 400.1 What is -481661.9667 rounded to the nearest ten thousand? -480000 Round 0.2350702905 to 3 decimal places. 0.235 What is 1.9989974 rounded to one dp? 2 What is 5479.2677 rounded to the nearest 100? 5500 What is 0.252377084 rounded to 2 decimal places? 0.25 Round -7019478 to the nearest 10000. -7020000 What is 0.01842154936 rounded to 6 dps? 0.018422 What is 0.0071884741 rounded to four dps? 0.0072 Round 8.998623 to two dps. 9 Round -5531903.01 to the nearest one million. -6000000 What is -0.001211879 rounded to four decimal places? -0.0012 Round 79.2779916 to two decimal places. 79.28 What is -1654028.4909 rounded to the nearest 1000? -1654000 What is 31516772.3 rounded to the nearest 1000? 31517000 What is -13350969100 rounded to the nearest 1000000? -13351000000 What is 0.000001385003 rounded to 6 dps? 0.000001 Round 7.11595894 to one dp. 7.1 What is -0.00000063942403 rounded to seven decimal places? -0.0000006 What is -0.0342468611 rounded to four dps? -0.0342 Round 3536.010648 to the nearest 10. 3540 Round 0.012796323 to five dps. 0.0128 Round -964803.3 to the nearest one hundred. -964800 What is 45.30417833 rounded to 3 decimal places? 45.304 Round 0.410966195 to two dps. 0.41 What is 5797.58938 rounded to the nearest 10? 5800 What is 8.07560345 rounded to four decimal places? 8.0756 What is 2986176.5 rounded to the nearest one hundred thousand? 3000000 What is 0.0000686108 rounded to 7 decimal places? 0.0000686 What is -0.0323755772 rounded to six dps? -0.032376 What is 80.1116833 rounded to 3 decimal places? 80.112 What is -42179497.84 rounded to the nearest 100000? -42200000 What is -489095.88 rounded to the nearest 100? -489100 What is -0.0074099183 rounded to 3 dps? -0.007 Round -154958.488 to the nearest 10000. -150000 Round -0.0188703618 to 4 dps. -0.0189 What is 1361006894.3 rounded to the nearest ten thousand? 1361010000 What is 12.775239 rounded to one decimal place? 12.8 What is 50.4350039 rounded to 1 decimal place? 50.4 Round 0.877601311 to two decimal places. 0.88 What is -3.09329439 rounded to three decimal places? -3.093 Round 0.00001818584507 to seven decimal places. 0.0000182 Round 140251.5107 to the nearest ten. 140250 Round 12707.93424 to the nearest one thousand. 13000 Round 0.000160103468 to 5 dps. 0.00016 Round 1.133104151 to 2 decimal places. 1.13 Round -0.002093661311 to 7 dps. -0.0020937 Round -7123064.83 to the nearest 10000. -7120000 What is 483317322 rounded to the nearest ten thousand? 483320000 Round -4627814.86 to the nearest one thousand. -4628000 Round 0.000065979482 to 5 dps. 0.00007 What is 0.1551956793 rounded to five dps? 0.1552 What is 513.7264 rounded to the nearest ten? 510 Round -0.034430752 to five dps. -0.03443 Round -0.00009578657 to 5 dps. -0.0001 Round 0.081489323 to 5 decimal places. 0.08149 Round -2544117.09 to the nearest one hundred. -2544100 What is -108696639.24 rounded to the nearest one million? -109000000 Round -2048.7236 to the nearest 10. -2050 Round -64510067.4 to the nearest one thousand. -64510000 Round -0.564861122 to five dps. -0.56486 What is -429092.262 rounded to the nearest 10000? -430000 What is -0.00011591122534 rounded to 6 decimal places? -0.000116 What is -0.2883740336 rounded to two decimal places? -0.29 What is 2171500.06 rounded to the nearest 100000? 2200000 Round -34.810281 to the nearest integer. -35 Round -7.4126656 to two dps. -7.41 Round 6.2928349 to four dps. 6.2928 What is -0.00847324839 rounded to 3 dps? -0.008 What is 0.00005521106779 rounded to seven dps? 0.0000552 Round -0.0000158239533 to seven decimal places. -0.0000158 What is -12.8356659 rounded to three decimal places? -12.836 Round 101.1897307 to the nearest 10. 100 What is 29964.2972 rounded to the nearest 100? 30000 Round -0.000039133406 to six dps. -0.000039 Round 0.33407183 to 3 dps. 0.334 Round -30.8050672 to one decimal place. -30.8 What is -0.079255 rounded to 5 decimal places? -0.07926 What is -79.1930188 rounded to the nearest ten? -80 What is -801730.3502 rounded to the nearest one thousand? -802000 Round 0.204491541 to 3 decimal places. 0.204 What is 27726322.97 rounded to the nearest 1000000? 28000000 What is 0.006442676148 rounded to 4 dps? 0.0064 What is -0.000033506 rounded to seven dps? -0.0000335 Round 796427.285 to the nearest one hundred thousand. 800000 What is 6862298.4 rounded to the nearest 10000? 6860000 What is 0.0001871596549 rounded to seven dps? 0.0001872 What is 5982.8055 rounded to the nearest ten? 5980 Round -333637260 to the nearest 1000000. -334000000 Round -0.00726010973 to four dps. -0.0073 What is 890.033858 rounded to the nearest integer? 890 What is 114148698 rounded to the nearest one million? 114000000 Round -0.149074742 to 4 dps. -0.1491 Round 0.00000182104576 to seven decimal places. 0.0000018 What is 1.20038905 rounded to 3 dps? 1.2 What is 45.04329 rounded to the nearest ten? 50 Round 0.1140776217 to two decimal places. 0.11 R
{ "pile_set_name": "DM Mathematics" }
+ 1 = 4*n + f*h, -r*h = -n + 2 for n. 2 Let n be 3 + -2 + 1/(-1). Let z = n - -6. Let u be 2 + 0/(-1) - 0. Solve z*t = t + 5*o - 5, -o + 7 = u*t for t. 2 Let p(h) = 2*h - 2. Let x be p(9). Let c = 19 - x. Solve 5*r + 15 = -5*o, -2*o + 1 = 3*o - c*r for o. -1 Let z(a) = 3*a. Let o be z(1). Let n = -2 + o. Let w be -2 + 1/(n/5). Solve -2*x - 2*l = -l - 7, w*x - 7 = 2*l for x. 3 Let g be (-3)/(-1) - 0/(-1). Suppose -4*i - 5 = -g*a + 2, 0 = -a - i + 7. Solve y = a*x - 22, -2*x = -x - 3*y - 10 for x. 4 Let d(q) = -q + 13. Let f be d(9). Let t be (3/6)/(f/16). Solve 0*u = 2*m - t*u + 10, -2*m - 10 = u for m. -5 Suppose 6*q - 50 = -4*q. Solve p + 2*p - 2*d - 15 = 0, q*p - 21 = 2*d for p. 3 Let q(b) = b**2 + 12*b + 12. Let i be q(-12). Let o = 12 - i. Solve -5*p + 5*y = 35, -5*p + o*y = -4*y + 33 for p. -5 Suppose -24 = -2*i + 4*s, -2*i = 2*i - s - 27. Let a(t) = t**2 - 6*t + 3. Let l be a(i). Solve 5*r - 5 = 3*p + l*r, 22 = -4*p - 5*r for p. -3 Suppose -4*l + 3 = -4*k + 23, -1 = -k - 3*l. Solve -4*n = -k, 3 = z - n + 1 for z. 3 Let d be 2/(5 - (-4 - -8)). Solve -5*a + 0 = 2*w - d, -3*a = w - 1 for w. 1 Let l be 9 + 6 + 2*-1. Let x = l + -9. Solve -2*s - 23 = -3*t - x, -5*s - 5*t = -15 for s. -2 Let g(s) = -s - 7. Let j be g(-9). Let l(a) = 2*a**2 + 3*a + 5*a - 3*a**j - 2 - 2*a. Let q be l(5). Solve -15 - 1 = 2*i + q*u, -5 = -i + 5*u for i. -5 Let a(o) = -9*o - 2. Let n(t) = -3*t - 1. Let f(p) = 3*a(p) - 8*n(p). Let d be f(-1). Solve 2*c = -5*s + 5, 0*c = 5*s - d*c + 30 for s. -1 Let x(r) be the third derivative of r**5/60 + 5*r**4/12 - r**3 + 2*r**2. Let f be x(-11). Solve f*l + 1 = -3*u, -u = 3*l - 4*l + 3 for l. 1 Let q = 32 - 29. Solve -5*n = q*k - 25, 0*n + 2*n - 5*k - 10 = 0 for n. 5 Suppose 0 = 5*b + 15, 1 = 4*q + 2*b + 3. Solve -5*i - 3*l = 37, -5*l + q = -i - 4*l for i. -5 Let y = -15 - -11. Let n(u) = u**3 + 3*u**2 - 4*u. Let x be n(y). Solve 5*m + 0*m + 3*h = -8, 4*m + h + 5 = x for m. -1 Let o(s) = -2*s**2 + 12*s. Let d be o(6). Solve -3*u + 2*j = -2*j + 23, d = u + 4*j - 3 for u. -5 Suppose n + 0*n - 50 = 0. Suppose 34 = w + c + 3*c, -c = -3*w + n. Let a(k) = -3*k + 15. Let y be a(5). Solve p = 4*j - p - w, y = 3*j + 3*p for j. 3 Suppose 5*y - 8 = 7. Let c be (-3)/5 + 13/5. Suppose -3*b = -c*b - 4. Solve -3*i = -b*v + 4, v - 6*v + y*i + 2 = 0 for v. -2 Let o be ((-8)/10)/(6/(-15)). Suppose -p + 2*x = o*p + 2, -2*p - 4*x + 4 = 0. Solve -a - 4*g + 3 = p, 5*a + 3*g = g + 15 for a. 3 Let s(o) = o**2 - 4*o - 3. Let y = -12 + 17. Let b be s(y). Solve -6 = -3*q, -q = b*u + 2*u - 10 for u. 2 Suppose -3*c - 22 = 2*o - 98, -5*c = -5*o - 85. Solve -4*u + c = 2*r, r = -u + 4*u - 4 for r. 5 Suppose 0 = 5*q - 10, 3*i + 5*q = 19. Solve 3*b + 6*u = 2*u - 12, i*u = 0 for b. -4 Suppose -8*j + 4*j = 0. Solve j = -3*c + 15, -5*i - 2*c + 0*c = 15 for i. -5 Let b(v) = 2*v - 10. Let w be b(8). Suppose 2*y = -y + w. Solve 3*j + y*n - 15 = 0, -n + 9 = 2*j - 0*n for j. 3 Let p(u) = -u + 4. Let v be p(3). Let s be (1/3)/(v/6). Solve -s = -q - j - 0*j, q - 4 = -3*j for q. 1 Let l(n) = -n**2 + 4*n + 1. Let r be ((-6)/(-5))/((-4)/(-10)). Let p be l(r). Solve -2*b - v = 4, 4*b = 2*v + 2*v + p for b. -1 Let v = 0 + 9. Solve l - 6*l = 2*k - v, 2*l = -3*k - 3 for k. -3 Suppose 4*u = 36 + 8. Solve -6*x - u = -4*x + c, -9 = 3*c for x. -4 Suppose -5*j = -3*j - 5*a - 9, 5*a = -5*j + 40. Solve -t - j = 2*f, 3*t + 4 + 11 = 0 for f. -1 Let c(s) be the first derivative of 2/3*s**3 - 3/2*s**2 + 1 - 4*s. Let h be c(3). Solve 31 = -2*n - 2*n - 5*d, 0 = h*d + 15 for n. -4 Suppose -2*q + 5 = 3*t, 0 = -6*t + 5*t - q + 2. Solve -4*a = -5*f, -a + 4*f = 3*f - t for a. 5 Suppose 5*p = 4*w + 1, 3*p = -2*w + 7*p + 4. Let f = w + 6. Solve d + f*d = -v - 2, 6 = 2*v - 4*d for v. 1 Let j(g) = -2*g + 15. Let a be j(7). Let n = a + 2. Solve 3*m = 3*p - 2*m + n, -5*m - 2 = 2*p for p. -1 Let w(x) = -x**2 - 7*x + 8. Let h be w(-8). Solve 4*c - 9 = -h*g + g, -4*g - 5*c = 15 for g. -5 Suppose 0 = -6*o + 2*o. Suppose o = 3*a + 2*a. Let n = a - -2. Solve 3*f + 4 = -2*i - n, 2*i + 6 = -5*f for i. -3 Let q(j) = j**3 + 3*j**2 - 5*j + 1. Let x be q(-4). Solve 0 = -2*b - 4*g + 2, -5*b = -0*b + 4*g - x for b. 1 Suppose c + 4*c - 25 = 0. Let z(y) = y. Let b be z(c). Suppose -2*i = -4, 0 = 5*s - 7*s - b*i + 44. Solve 0 = 2*o - 6*a + a, 5*o - s = 4*a for o. 5 Suppose g + 4*w + 20 = 5*g, g - 3*w + 5 = 0. Let i be (4/7)/(g/35). Solve c = l + 2, 4*l - i = -3*c + 4 for l. 0 Let m be 1 + -2 + (-15 - 2). Let d be -1 - 0 - m/3. Solve -4*i + d*q - 21 = 0, 2*i + q = 3*q - 8 for i. 1 Let j be (3/(-6))/((-2)/(-32)). Let o = 0 - j. Solve -3*z = 4*i + i + o, 0 = -z + i for z. -1 Let v(i) = -i**2 + 7*i + 2. Let t be v(7). Let y be ((-8)/(-12))/(t/9). Solve g = 2*r + 1, 2*r = -0*r - y*g + 19 for r. 2 Suppose 4*q + x - 7 - 16 = 0, -3*q - 4*x + 27 = 0. Solve 2*v - 5*r = -3, -q*r + 11 + 0 = -4*v for v. -4 Suppose -4*d = -p + 26 - 10, -3*p + 3*d = -21. Let j(f) = 0 - 2 + p - f**2. Let c be j(0). Solve -4*h + 3*n - 24 = h, 0 = c*h + n + 3 for h. -3 Suppose 9 = a + 2*a. Solve j - 2 = -v - a, 3*j + 2*v = -6 for j. -4 Let h be 2/15 - 365/(-75). Let d be (-182)/65*h/(-2). Solve b - d = 2*k, 0 = -k - 3*k - 5*b - 7 for k. -3 Let j = 4 - 1. Solve b + j*b = -h - 6, -h + 4 = -b for h. 2 Suppose -4*p + 51 - 11 = 0. Suppose 5*y + 34 = 4*m, -m = -y + 3*m - p. Let z be -10*3/y + -2. Solve z = l - 5*k - 24, 5*l = -2*k for l. 2 Suppose -4*f + 38 + 10 = 4*n, -4*n = 2*f - 34. Suppose i + 4 - f = 0. Solve -3*a + a - 4 = i*w, -4*w + 5*a + 10 = 0 for w. 0 Let c = -4 - -7. Let x = c + -1. Let m = 6 - 4. Solve -3*l - x*k = 17, -l + k = m*l + 14 for l. -5 Let h(z) = z + 3. Let w be h(2). Let d = w + 0. Solve -2*r + r - 2*p = -d, -r + 3*p - 10 = 0 for r. -1 Let j = 13 - 15. Let c(n) = -n**3 + n. Let q be c(j). Solve t = 2*o - 4*o - 6, -5*t - o = -q for t. 2 Let i = 9 + -6. Solve -a = -o, -i*a = o - 0*o for a. 0 Let a = -1 + 6. Suppose -a = -m + 3. Solve -4*d - m - 4 = 0, 3*d - 7 = -4*r for r. 4 Let s(a) = 18*a**2 - a. Let t be s(-2). Suppose -t - 56 = -5*z. Solve p + 2*p = 9, 5*n - z = -2*p for n. 4 Let u(z) = -z - 5. Let w be u(-8). Solve -5*a = 20, -5*f - 28 = 5*a - w for f. -1 Suppose 18 = 5*a - 2. Suppose -v - 5*i = -11, -5*v + i - a*i + 11 = 0. Suppose v = 5*x - 14. Solve -5 = r, 5*k - 4*r = -2 - x for k. -5 Let k(f) = 6*f + 9. Let q(n) = -2 - 3*n - 2*n - 7 + 0. Let i(c) = 3*k(c) + 4*q(c). Let d be i(-6). Solve 4*p + d*a - 13 = 0, 5*a - 13 = -p + 3 for p. 1 Suppose 0 = 2*r - 2*l - 6, -r - 5*l - 3 = 12. Solve -12 = 2*h + 2*j, 0 = -4*h - j - r*j - 9 for h. -1 Let w be 6*(-1 + -1 - -3). Let q be w/10*(0 - -5). Solve r = -5, q*t + 15 = 2*t - 4*r for t. 5 Let w(a) = -3*a - 1. Suppose -4*m + 2*m - 4 = 0. Let i be w(m). Let r = i - 1. Solve 3*q - 3*j = 24, -3*j + 2 = -q - r*j for q. 3 Let o(h) = h**2 - 2*h. Let j be o(3). Suppose -3*q = j - 12. Solve -4*v - 18 = 2*a, 5*v + 12 = -2*a + q*a for a. -3 Suppose -4*z - 2*q + 6 + 72 = 0, -z - q + 17 = 0. Let p be (1 - 0)*0/14. Solve -z = 4*k + 2*t, k + p*k + 16 = -4*t for k. -4 Suppose 4*y - 4*s = 5*y - 9, -s + 1 = 0. Solve y*v + 35 = 2*b, -b - 8 = 2*v - 3 for b. 5 Let i be 1*-11*(15 + -16). Suppose -6*a = -i*a. Solve a*v + 11 = 2*w + 5*v, -w + 13 = 5*v for w. -2 Let t = 1 - 1. Let c(n) = n**2 + 2*n - 3. Let k be c(-3). Let y = 0 + k. Solve t = g + 2*w - w - 3, y = -4*w - 4 for g. 4 Let w = -162 - -164. Solve 0 = w*g + 2*b + 2*b + 4, 2*b = 3*g + 6 for g. -2 Let s(i) = -2*i - 10. Let k be s(-7). Let y(c) = -1 - c**3 + 2*c + 2*c + k*c**2 - 6*c. Let x be y(2). Solve 4*l + x*u + 15 = 0, -2*l - 10 = -l + 2*u for l. 0 Let p be (1 + -2)/(2/(-8)). Let x(l) = l**2 + 10. Let s be x(0). Suppose 0 = -3*q + 3*n + 18, 0 = -n - 1 - 1. Solve -m - 5*u - s = -6*m, q*u - p = 0 for m. 3 Let a = -55 - -58. Solve 0 = -a*i + q + 9, -3*i + 2*q + 9 = 5*q for i. 3 Suppose -y - 2 + 6 = 0. Suppose -2*d + 35 = 5*f, -f - y*f = -d - 35. Let o = f - 5. Solve -o = -2*a + a + w, -5*w + 8 = 4*a for a. 2 Let z(a) = a + 2. Let h be z(-2). Suppose h*t = 5*t + 20. Let g = t - -8. Solve i - 4 = -2*j, g*i + 2*j - 5*j + 17 = 0 for i. -2 Suppose 5*c - 125 = -0*l - 2*l, 0 = -4*l. Let v = c + -17. Suppose 0 = o - 2*o + v. Solve -3*z - z - 2*w + 22 = 0, -o = z - 4*w for z. 4 Let l = 21 + -17. Solve -5*j + l + 1 = g, 0 = 2*g - 5*j + 20 for g. -5 Let l(v) =
{ "pile_set_name": "DM Mathematics" }
ect to g. -4 Let p(o) be the third derivative of -99*o**8/112 - 757*o**4/8 - 9*o**2 + 29*o. What is the second derivative of p(x) wrt x? -5940*x**3 Find the second derivative of 523*m**2 - 21*m - 6*m + 2527 - 2527 - 170*m**2 wrt m. 706 Let c(j) be the third derivative of -251*j**5/15 - 491*j**3/3 - 31*j**2 - 7*j. Find the first derivative of c(b) wrt b. -2008*b Let c(g) = -1969*g + 2205. Let q(a) = 1313*a - 1470. Let u(i) = -5*c(i) - 8*q(i). What is the derivative of u(f) wrt f? -659 Let t(u) be the second derivative of 41*u**5/5 + 5*u**4/4 + 864*u**3 - 8591*u. Find the second derivative of t(z) wrt z. 984*z + 30 Let n(i) be the first derivative of -1/2*i**4 + 4/3*i**3 + 0*i - 61 - 37/2*i**2. What is the second derivative of n(b) wrt b? -12*b + 8 Let u(d) be the third derivative of -1/12*d**6 + 0 - 40*d**2 - 1/24*d**4 - 5/2*d**3 + 0*d + 0*d**5. Differentiate u(j) wrt j. -30*j**2 - 1 Let j(o) = -11*o**3 + 4*o**2 + 21061*o - 10779. Let r(b) = 8*b**3 - 3*b**2 - 14041*b + 7187. Let x(u) = 5*j(u) + 7*r(u). Differentiate x(c) with respect to c. 3*c**2 - 2*c + 7018 Let m be -1 + 9 + 310/(-62). Find the second derivative of -m*z**4 + 5*z**5 - 290*z + 216*z - 10*z**4 wrt z. 100*z**3 - 156*z**2 Let p be 4 + -4 + 1/(-2)*-14. Find the third derivative of 31*z**2 + 11*z - 4*z - p*z - 46*z**4 wrt z. -1104*z Let v(c) be the third derivative of 57*c**6/5 - 169*c**5/15 - 1076*c**2. What is the third derivative of v(x) wrt x? 8208 Let y(k) be the third derivative of 89*k**7/70 + k**6/40 - 7*k**5/60 + 10*k**3/3 + 9*k**2 + 81. What is the third derivative of y(c) wrt c? 6408*c + 18 Let z = 48 + 14. Let l be z/4 - 3*4/(-24). Differentiate -3 - 11 - l + 6 + 4*x**2 with respect to x. 8*x Let k(a) = 280*a**3 + 9*a**2 - 3*a - 1178. Let d(c) = -279*c**3 - 12*c**2 + 4*c + 1176. Let p(n) = -3*d(n) - 4*k(n). Differentiate p(z) with respect to z. -849*z**2 Let y(r) be the third derivative of 0 + 169/6*r**3 + r**2 - 7/60*r**6 + 1/60*r**5 + 0*r**4 - 5*r. Differentiate y(h) wrt h. -42*h**2 + 2*h Let z(m) = -m**3 + 8*m**2 + 2*m - 11. Let l be z(7). What is the derivative of l - 29*k + 51*k + 73*k + 8 wrt k? 95 Let o(z) = -75*z**2 + 11*z + 3. Let j(t) = 3*t**2 - 611 - 5*t**2 + t + 612. Let a(l) = -3*j(l) + o(l). What is the second derivative of a(s) wrt s? -138 Let m(i) be the first derivative of -4737*i**4/4 + 1529*i**2 + 4849. What is the second derivative of m(t) wrt t? -28422*t Let c(u) be the first derivative of -949*u**4/4 + 2179*u**3/3 + 426. Find the third derivative of c(i) wrt i. -5694 Let j(l) = -6*l**3 + 73*l**2 + 7*l - 18. Let k(h) = 24*h**3 - 293*h**2 - 28*h + 74. Let t(o) = 9*j(o) + 2*k(o). Find the second derivative of t(b) wrt b. -36*b + 142 Let u(b) = 4802*b - 9120. Let l(m) = 2407*m - 4561. Let o(p) = -9*l(p) + 4*u(p). Differentiate o(k) with respect to k. -2455 Let u(r) = 5*r + 11. Let y be u(5). Suppose -5*d + d + y = 0. Differentiate -d*q**2 + 22 - 17 + q**2 wrt q. -16*q Let a be (-3)/22*-28 + (-12)/(-66). What is the first derivative of -81*o + 2*o**a + 5*o**4 + 77*o - 5 wrt o? 28*o**3 - 4 Find the second derivative of -1080*i**2 - 1322*i**2 + 2 - 237*i**2 + 162*i wrt i. -5278 Suppose 3*c - 15 + 3 = 0. Let o(n) = 2*n**3 - 14*n**2 + 11*n + 6. Let m be o(6). What is the derivative of m + 14*k + 3*k + c wrt k? 17 What is the second derivative of -81*y**2 - 118*y**2 + 1436*y - 95*y**2 - 260*y + 67*y**2 wrt y? -454 Let q = 74 + -69. Find the first derivative of -7 + 6*d - 25 - 32 + q*d wrt d. 11 Let g(x) = -x**5 + 475*x**4 + 5*x**3 - 35*x - 7. Let j(z) = z**5 - z**3 - z**2 + 2*z - 1. Let k(n) = -g(n) - 5*j(n). Find the third derivative of k(s) wrt s. -240*s**2 - 11400*s What is the third derivative of -987 - 87*p**5 + 497 + 487 - 72*p**2 wrt p? -5220*p**2 Find the third derivative of -431*x**4 + 524*x**4 - 2850*x**3 + 2840*x**3 - 394*x**2 wrt x. 2232*x - 60 What is the third derivative of 61 + 557 - 17 + 341 + 3*x - 765*x**3 + x**2 - x wrt x? -4590 Let p(x) = 27*x + 1. Let j(w) = -392*w - 947. Let m(o) = -5*j(o) - 10*p(o). Differentiate m(a) wrt a. 1690 Let j(q) be the first derivative of -91*q**3 - 785*q + 1404. Differentiate j(u) wrt u. -546*u Let l be -42*(4 + (-10)/3). Let d = l - -36. Find the first derivative of 2*k + 3*k + k - 4 + d*k wrt k. 14 Let s = -190 - -234. What is the second derivative of 29*t**4 + 9*t - s + 7*t + 42 wrt t? 348*t**2 Let m(d) = 1001*d**2 - 47*d + 5860. Let w(o) = -3*o**2 - 4*o - 1. Let p(a) = -m(a) + 11*w(a). Differentiate p(j) wrt j. -2068*j + 3 Find the second derivative of 48 - 230*b - 23 - 1911*b - 1006*b**4 - 25 wrt b. -12072*b**2 Let d(f) = f**3 - f**2 + f - 2. Let y(p) = -207*p**3 - 1248*p**2 + 15*p - 30. Let s(j) = -15*d(j) + y(j). Find the third derivative of s(w) wrt w. -1332 What is the first derivative of -21*v - v - 68*v - 31*v - 20*v + 1306 wrt v? -141 Suppose 0 = -43*u + 45*u - 2. Find the second derivative of -45*m**4 + 8*m + 12*m - u - 51*m + 13*m wrt m. -540*m**2 Let y(m) = -3353*m**3 - 8*m**2 - 8*m + 6257. Let b(g) = -1118*g**3 - 3*g**2 - 3*g + 2088. Let n(w) = -8*b(w) + 3*y(w). Find the first derivative of n(i) wrt i. -3345*i**2 Let u(v) be the first derivative of -359*v**3/3 - v**2/2 - 978*v - 14. Differentiate u(a) wrt a. -718*a - 1 Let x(q) be the second derivative of -17/6*q**4 + 0*q**2 + 16*q - 145/6*q**3 - 1. What is the second derivative of x(y) wrt y? -68 Let v(t) be the third derivative of -97/60*t**5 + 0 - 17/120*t**6 + 0*t + 0*t**3 + 31*t**2 + 0*t**4. Find the third derivative of v(b) wrt b. -102 Suppose -4*l = c - 5*l, -12 = -4*l. Suppose -g + 4*d = -0*g - 1, 4*d = -5*g + 101. What is the third derivative of -14*y + 27*y - 13*y - c*y**3 - g*y**2 wrt y? -18 Let x be (-4)/(-6) + 36/27. Let o be (14/4 + -1)*x. Find the third derivative of 4*v**5 + 3*v**o + 6*v**5 - 8*v**2 wrt v. 780*v**2 Let x(k) = 12*k**4 + 2*k**2 + k - 1095. Let r(v) = v**2 - v - 5. Let m(l) = -r(l) - x(l). Differentiate m(p) with respect to p. -48*p**3 - 6*p Find the third derivative of -21 - 1027*r**2 + 122*r**2 - 1409*r**3 + 21 - 1053*r**2 wrt r. -8454 Find the first derivative of -8*i**2 - 2840*i + 3003*i + 94 - 2*i**2 + i**2 + i**2 wrt i. -16*i + 163 Let g(v) be the second derivative of 3*v**6/20 + 7*v**4/2 - 65*v**3/6 - v - 16. Let y(z) be the second derivative of g(z). Differentiate y(h) wrt h. 108*h Suppose 5*i - 5 = 0, -3*q + 16 = -2*i - 12. Let o = 15 - 9. Differentiate 6 + q + 39*m**2 - o with respect to m. 78*m Let h = -136 + 140. What is the third derivative of -11*i + 2*i**6 - 60*i**2 + 8*i**h - 11*i**4 + 10*i - 9*i**6 wrt i? -840*i**3 - 72*i Suppose -4*d - 16 = 0, 5*y + 2*d - 802 = 5*d. What is the first derivative of y*u + 90 - 80*u - 30 wrt u? 78 Let r(q) be the third derivative of 0*q**6 + 0*q**5 + 17/30*q**7 + 0*q + q**3 + 0*q**4 + 0 + 134*q**2. What is the derivative of r(m) wrt m? 476*m**3 Find the third derivative of -67*t + 534*t**2 + 153*t + 160*t**3 - 86*t wrt t. 960 Suppose q = -4*u + 44, -q + 2*u = 1 - 63. What is the first derivative of -11*p**2 + 6*p**2 + 11*p**2 + q + 23*p**2 wrt p? 58*p Let n(l) be the second derivative of -491*l**7/42 - l**6/30 - l**4/6 + 899*l**3/6 + 2139*l. What is the third derivative of n(d) wrt d? -29460*d**2 - 24*d Find the second derivative of -186*b**3 - 1005*b**3 - 867*b**3 - 66*b - 1424*b**3 + 3487*b wrt b. -20892*b Let m be (2 - 1)/(-10 + 11)*0. Let g(u) be the second derivative of 18*u - 9/2*u**2 + 3/10*u**5 + 0*u**4 + m + 0*u**3. Find the first derivative of g(b) wrt b. 18*b**2 Let v be -2 + 0 - 10/(4/(-2)). Suppose v*h + 2 = 11. Find the first derivative of -7*b**4 - 14 - 7*b**4 - h*b**4 wrt b. -68*b**3 Let b(u) be the first derivative of -1991*u**6 + 8507*u**2/2 + 9288. Find the second derivative of b(m) wrt m. -238920*m**3 Let x = -6374 + 6374. Let t(i) be the first derivative of x*i**2 + 23 + 0*i - 4*i**3 + 5/2*i**4. What is the third derivative of t(s) wrt s? 60 Let s(p) = p**3 + p**2 + 22*p + 1. Let r(t) = 1255*t**3 + 7*t**2 + 116*t + 20. Let l(k) = -r(k) + 7*s(k). Find the second derivative of l(q) wrt q. -7488*q Let f be 24 + (-5 + 1 - 0). Let t = 0 + f. Differentiate 1 - t*h**2 + 36*h**2 + 2 wrt h. 32*h Let c(f) be the third derivative of 9*f**8/28 - f**7/70 + 13*f**5/20 - 3*f**3/2 + 2*f**2 - 80. Find the third derivative of c(x) wrt x. 6480*x**2 - 72*x Let
{ "pile_set_name": "DM Mathematics" }
sqrt(12)) + sqrt(12) + sqrt(12)). 16*sqrt(13)/3 Simplify -4*sqrt(133)/(sqrt(42)/sqrt(6)). -4*sqrt(19) Simplify (sqrt(4500)*3 - sqrt(4500) - sqrt(4500))/(sqrt(54)/sqrt(6)*-6). -5*sqrt(5)/3 Simplify -2*(sqrt(700)/sqrt(4) + -1). -10*sqrt(7) + 2 Simplify 5*(sqrt(11) - sqrt(176)) + -1 + sqrt(11) + sqrt(22)/sqrt(2). -13*sqrt(11) - 1 Simplify 2 + 3*(sqrt(425) + -5). -13 + 15*sqrt(17) Simplify -2*(sqrt(475))**2 + 4. -946 Simplify (sqrt(8064) + (sqrt(8064) - sqrt(8064)*1))/sqrt(8) + 4 + (-1*sqrt(567))**2. 12*sqrt(7) + 571 Simplify (sqrt(2448) + 0)*-3. -36*sqrt(17) Simplify 1 + (3 + sqrt(272))**2. 24*sqrt(17) + 282 Simplify 2*(sqrt(1900) - ((-3 + sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900)))**2. 120*sqrt(19) + 3818 Simplify sqrt(180) + -4*sqrt(180)*6. -138*sqrt(5) Simplify 2 + ((-1 + sqrt(931))*6)**2. -504*sqrt(19) + 33554 Simplify (1*-6*2*sqrt(468))**2. 67392 Simplify sqrt(3) - (sqrt(3) - sqrt(54)/sqrt(2)) - (-1 + 2*sqrt(3) + sqrt(3))**2. -28 + 9*sqrt(3) Simplify sqrt(1539) + (sqrt(1539) + (sqrt(1539) + (sqrt(1539) + (sqrt(1539) - 1*sqrt(1539)))*-6)**2 - sqrt(1539)). 9*sqrt(19) + 38475 Simplify -1*(4*sqrt(1100) + -4). -40*sqrt(11) + 4 Simplify (sqrt(99)/sqrt(3))/sqrt(11) + 4. sqrt(3) + 4 Simplify 2*sqrt(1331) + 2. 2 + 22*sqrt(11) Simplify ((-6*(-1 + sqrt(252)) - sqrt(252)) + -2 + sqrt(252) + 1)**2 + 0. -360*sqrt(7) + 9097 Simplify 3*(2 + sqrt(2592) + sqrt(32))**2. 480*sqrt(2) + 9612 Simplify sqrt(12)/(sqrt(150)*-1 - sqrt(150)). -sqrt(2)/10 Simplify sqrt(28)/((sqrt(132)/sqrt(3))/sqrt(11)). sqrt(7) Simplify (2 + sqrt(10)/(-3*sqrt(200)))**2. -2*sqrt(5)/15 + 721/180 Simplify sqrt(3) + -1*(1 + sqrt(3)) + sqrt(3) + 1. sqrt(3) Simplify 1*sqrt(8)/sqrt(4) + -5 + (sqrt(2) + (sqrt(18)/sqrt(9) - sqrt(2)))**2. -3 + sqrt(2) Simplify (-2*(sqrt(2736) + 0) - sqrt(2736))**2*6. 147744 Simplify ((sqrt(42) + 2*sqrt(210)/sqrt(5))/sqrt(216))**2. 7/4 Simplify sqrt(10)/(sqrt(128)*-2 - sqrt(2) - sqrt(2)) - ((-2*sqrt(2205) + sqrt(2205))/sqrt(9))**2. -245 - sqrt(5)/18 Simplify -1*(sqrt(475)*-1 - sqrt(475))**2*5. -9500 Simplify (-4 + sqrt(475)*-1)**2. 40*sqrt(19) + 491 Simplify sqrt(24)/((-1*sqrt(72) - sqrt(72))/sqrt(6)). -sqrt(2)/2 Simplify 0 + 6*(1 + (sqrt(13) - (2 + sqrt(39)/sqrt(3)))**2). 30 Simplify (5*sqrt(3)*-2*-4)**2. 4800 Simplify (((1 + sqrt(2448))*-1 + (sqrt(2448) - (4 + sqrt(2448) + 0 + sqrt(2448))))*4)**2. 3840*sqrt(17) + 157072 Simplify (sqrt(5) - (sqrt(5) - (sqrt(60) - 2*sqrt(60))/sqrt(12))) + 1 + sqrt(15)/sqrt(3) + -1. 0 Simplify (sqrt(126) - 1*sqrt(126))/sqrt(7). 0 Simplify -6*6*((sqrt(5) + 1)**2 + sqrt(5)). -108*sqrt(5) - 216 Simplify (sqrt(208) - (sqrt(208) + 6*sqrt(208)*1))**2*6. 44928 Simplify 4*(sqrt(1088)*-2)**2 + -4*3*sqrt(1088) + sqrt(1088). -88*sqrt(17) + 17408 Simplify 3*(-3 + -5 + sqrt(76) + 0)**2. -96*sqrt(19) + 420 Simplify (-1 + (sqrt(13) - sqrt(52)) + 2*sqrt(13) + 2)**2. 2*sqrt(13) + 14 Simplify (4*2*sqrt(40))/(sqrt(80)/(sqrt(40)/sqrt(4))). 8*sqrt(5) Simplify 4*(sqrt(1539) + 0). 36*sqrt(19) Simplify 5 + (sqrt(48) + 0 - sqrt(3)). 5 + 3*sqrt(3) Simplify sqrt(44) + 5 + -1*sqrt(44). 5 Simplify (-4*(sqrt(228) + (sqrt(228) - (sqrt(228) - -3*sqrt(228)))) - sqrt(228))/(sqrt(48)/(sqrt(4)*2)). 14*sqrt(19) Simplify (-1*-1*sqrt(1573))**2. 1573 Simplify (sqrt(19) - (sqrt(76) + 0)**2)*-2 - ((sqrt(171))**2*-6 + (sqrt(304) - sqrt(304)*-2)**2). -1558 - 2*sqrt(19) Simplify 1*(sqrt(208) + -1 + 4 + -2). 1 + 4*sqrt(13) Simplify sqrt(104)/(-4*sqrt(8)*-1) - (-4*sqrt(208) + 4*(sqrt(13)*2 - sqrt(13))). 49*sqrt(13)/4 Simplify sqrt(48) + 3 + 0 + sqrt(3) + 1. 4 + 5*sqrt(3) Simplify (2*-2*sqrt(51))/(sqrt(3) - (sqrt(3) + sqrt(24)/sqrt(2))). 2*sqrt(17) Simplify (sqrt(11) + sqrt(11)*1 + -2 - (0 + sqrt(275)))**2*-1. -103 - 12*sqrt(11) Simplify (1 + sqrt(10)/sqrt(2) - (sqrt(405) + -1 + sqrt(405) + sqrt(405) + sqrt(405)))*3. -105*sqrt(5) + 6 Simplify -6*(sqrt(28) + 0)**2. -168 Simplify (sqrt(2160) + sqrt(2160)*1)/(6*(sqrt(48)/sqrt(4) + sqrt(12))). sqrt(5) Simplify (-1*(0 + sqrt(147)) + sqrt(147) + sqrt(147) + -1 + sqrt(147)*2)**2. -42*sqrt(3) + 1324 Simplify -5*(0 + sqrt(180))**2 + sqrt(180) + 3. -897 + 6*sqrt(5) Simplify sqrt(60)/(-5*sqrt(60)/sqrt(5))*2. -2*sqrt(5)/5 Simplify (5*(3*sqrt(170) + sqrt(170)))/(1*sqrt(10)*3). 20*sqrt(17)/3 Simplify (-3*sqrt(3402))/sqrt(6). -27*sqrt(7) Simplify -4*(sqrt(102)*2 - sqrt(102))/sqrt(6). -4*sqrt(17) Simplify sqrt(24)/(sqrt(36)/sqrt(3)*-2). -sqrt(2)/2 Simplify 0 + (sqrt(320) - (sqrt(320)*2 + sqrt(320) - sqrt(320))**2) - sqrt(320) - -2*(1*sqrt(320))**2. -640 Simplify (-2 + (-1*1*sqrt(84) + sqrt(84))/sqrt(12))**2. 4 Simplify (sqrt(270)*-1)/(-3*sqrt(10)*2). sqrt(3)/2 Simplify sqrt(13) + sqrt(52)/sqrt(4) + -5 + sqrt(13) + ((5*sqrt(117))**2 - sqrt(13)) + ((-1 + sqrt(208))*-4)**2. -126*sqrt(13) + 6264 Simplify 3*(-2*sqrt(119))/sqrt(7) + 2. -6*sqrt(17) + 2 Simplify -6*1*sqrt(1584) - 1*(sqrt(132) + sqrt(132)*1)/sqrt(12). -74*sqrt(11) Simplify sqrt(396)*-2 + (sqrt(11) - (sqrt(704) - (sqrt(704) + sqrt(704) + sqrt(704) + sqrt(704) + -1 + sqrt(704)))**2). -11265 + 53*sqrt(11) Simplify (sqrt(84)/((2*sqrt(36) - sqrt(36))/sqrt(3)) + -3)**2*2. -12*sqrt(7) + 32 Simplify (5*sqrt(56)/sqrt(2))/((sqrt(44) + sqrt(44)*2)/sqrt(11)). 5*sqrt(7)/3 Simplify (0 + sqrt(38)/sqrt(2))**2 + (sqrt(171))**2*4. 703 Simplify sqrt(12)/((sqrt(400)*1 - sqrt(4)) + sqrt(4))*2. sqrt(3)/5 Simplify (2*(sqrt(104) + (sqrt(104) + sqrt(104) + -2*sqrt(104) + sqrt(104) + sqrt(104) - sqrt(104))) - sqrt(104))/(sqrt(8) - (sqrt(96) + sqrt(24))/sqrt(3)). -3*sqrt(13)/2 Simplify ((-5 + sqrt(432)*2)*-4 + -2)**2. -3456*sqrt(3) + 27972 Simplify (sqrt(7)*-1 + 5 - ((sqrt(77)*2)/sqrt(11) + sqrt(7) + sqrt(7) - sqrt(7)))**2 - (sqrt(224)/sqrt(8) + ((2*sqrt(70) - sqrt(70))/sqrt(10) - sqrt(7))). -42*sqrt(7) + 137 Simplify -2*sqrt(33)/sqrt(3) - (sqrt(22) + (sqrt(22) - sqrt(88)/sqrt(4)))/sqrt(2). -3*sqrt(11) Simplify -5*(sqrt(76))**2*-1. 380 Simplify ((sqrt(84)/(sqrt(16)/sqrt(4)))/(sqrt(12)*-6))**2. 7/144 Simplify -2*(-1 + sqrt(7) + sqrt(7) + 1). -4*sqrt(7) Simplify 0 + (sqrt(1377) + (sqrt(1377)*2)**2 + 3)*5. 45*sqrt(17) + 27555 Simplify (4*sqrt(136)*-1)/(1*sqrt(8)*-3). 4*sqrt(17)/3 Simplify (0 + (sqrt(39)/sqrt(3))**2)*2*1*6. 156 Simplify (sqrt(76) - sqrt(76)*1)*4. 0 Simplify (4 + (sqrt(55)*6)/sqrt(5))*5. 20 + 30*sqrt(11) Simplify (sqrt(18) - -2*sqrt(36)/sqrt(2))/((sqrt(9) - 4*sqrt(9)*-2) + sqrt(9)). 3*sqrt(2)/10 Simplify (-2*sqrt(76))/sqrt(4) + sqrt(19) + 2. -sqrt(19) + 2 Simplify sqrt(33)/sqrt(3)*-1*1. -sqrt(11) Simplify (5*4*(1 + sqrt(1300)))**2. 8000*sqrt(13) + 520400 Simplify (sqrt(88)/(sqrt(24)/sqrt(3) - sqrt(8) - sqrt(8)) + 3 + -2)**2. -2*sqrt(11) + 12 Simplify sqrt(12)/sqrt(16) + sqrt(9)/(sqrt(3)*-1). -sqrt(3)/2 Simplify -2*(((sqrt(68) + 1 - sqrt(68))*5)**2 + 5*(sqrt(68) + 0)**2). -730 Simplify ((sqrt(13) + (sqrt(1872) - sqrt(1872)*1) - (sqrt(52) - sqrt(13))*4)*-2)**2. 468 Simplify 1 + sqrt(2299) + -4. -3 + 11*sqrt(19) Simplify sqrt(108)/sqrt(9) - (-1 + sqrt(3))*-3. -3 + 5*sqrt(3) Simplify sqrt(104)/(sqrt(288)*-1). -sqrt(13)/6 Simplify 1 + sqrt(2) + (sqrt(2) - sqrt(18)) + 4 - sqrt(24)/((sqrt(12)*2 + sqrt(12))*-5). -14*sqrt(2)/15 + 5 Simplify (0 + sqrt(7))**2*-6*5. -210 Simplify -6*((sqrt(320) + (sqrt(320) + -2 - sqrt(320))**2 - sqrt(320)) + sqrt(5)). -24 - 6*sqrt(5) Simplify ((-2 + sqrt(612) + -2*sqrt(612) - sqrt(612)) + sqrt(612) - (sqrt(612) + 0 + sqrt(612) + 4))**2. 216*sqrt(17) + 5544 Simplify ((sqrt(63)*6 - sqrt(28)/(sqrt(12)/sqrt(3))) + -5)**2. -170*sqrt(7) + 2048 Simplify (sqrt(49)/(sqrt(7) + sqrt(112)))**2 - sqrt(35)/(sqrt(10)/sqrt(2)). -sqrt(7) + 7/25 Simplify (-4*((sqrt(13)*2 + sqrt(13))*-2 + sqrt(13) + ((sqrt(13) + 0)*5 - sqrt(13))))**2. 208 Simplify 1*((sqrt(175) - 2*sqrt(175))*4 + 2). -20*sqrt(7) + 2 Simplify sqrt(22)/(sqrt(11)*2)*2. sqrt(2) Simplify 1*(sqrt(209)*-2*2)/sqrt(11). -4*sqrt(19) Simplify 3*sqrt(121)/(sqrt(11)*3). sqrt(11) Simplify (sqrt(630)/(sqrt(10)*-1))/((sqrt(441) - (2*sqrt(441) + sqrt(441) + sqrt(441) - sqrt(441))) + sqrt(441) - sqrt(9)). sqrt(7)/8 Simplify (sqrt(456)/(sqrt(16)/sqrt(2)))/(sqrt(3) + sqrt(192) + sqrt(192)*-1 + sqrt(192) + sqrt(192) - sqrt(3)). sqrt(19)/16 Simplify 2*sqrt(448) + (-5 + sqrt(7)*1 - sqrt(7)) - (4 + 0 + sqrt(7) + -5). -4 + 15*sqrt(7) Simplify (-2*sqrt(19))**2*-1 + 0. -76 Simplify sqrt(85)/(2*sqrt(125)). sqrt(17)/10 Simplify sqrt(84)/(sqrt(1
{ "pile_set_name": "DM Mathematics" }
- m**2 + 3*m**2 + (4 - 4 - m)*(2*m + 2*m - 3*m) + 6*m**2 - 5*m**2 + 7*m**2. 12*m**2 Expand (5 - 1 - 1)*(2*z**2 + z**2 - 2*z**2) + 17 - 17 - 21*z**2. -18*z**2 Expand -46*w**5 + 16*w**5 + 19*w**5 + (w**3 + 3*w**3 - 2*w**3)*(3*w**2 + 2*w**2 - 4*w**2) - 4*w**5 + 5*w**5 + w**5 - 3*w**5 + 3*w**5 + 2*w**5. -5*w**5 Expand (3 - 4 + 5)*((2 - 1 + 1)*(-4*u + 4*u - 2*u**4) - 2*u**4 + u - u - 9*u**4 + 34*u**4 - 12*u**4 - u). 28*u**4 - 4*u Expand 95 - 55*d**2 - 185 + 93 + 2*d**2 + d**2 - 2*d**2 - 2 + d**2 + 2 + (3*d - 5*d + 3*d)*(1 + 2*d - 1) + 5*d**2 - 2*d**2 - 2*d**2. -50*d**2 + 3 Expand (0 - 3 + 2)*(-r**2 - 2*r**2 + 2*r**2) - r - 25*r**2 - r + 35*r**2. 11*r**2 - 2*r Expand (-12*l + 45*l**2 - 2 + 46*l**2 - 93*l**2)*(2*l**2 - 2 + 2 - 3*l**2 - 3 + 3 + (-2 + 0 + 4)*(-2*l**2 + 2*l - 2*l) + 2*l**2 - l**2 - 2*l**2). 12*l**4 + 72*l**3 + 12*l**2 Expand (-1 + 1 + 2*s**2)*(-63 + 22 - 29). -140*s**2 Expand -67*l**3 + 15*l**3 - 9*l**3 + (4*l - l - l)*(-3*l**2 + 2*l**2 - l**2). -65*l**3 Expand (0 - 1 - 2)*(3*z**3 + 11*z**3 + z**3). -45*z**3 Expand 0 - 3 + 6 - 2*d - 7*d + 9*d + 16*d + (-2*d - d + d)*(-3 + 3 - 1). 18*d + 3 Expand h**2 + 6*h**2 - 4*h**2 + (3*h - 3*h + 3*h)*(-9 + 9 + 71*h). 216*h**2 Expand (-3*p + 2*p - p)*(-2*p + 0*p + 4*p) + (-15 + 15 - 6*p**2)*(2 + 4 + 6). -76*p**2 Expand (-5 + 5 - 2*y**2)*(220 - 14 - 25)*(-2*y + 3*y - 3*y). 724*y**3 Expand (85*t**2 - 82*t**2 - 1 - 1)*(-4*t**3 - t + t) + 2*t**5 + 0*t**5 - 3*t**5 - t + t + t**5 + t**4 - t**4 - 2*t**5 + (-1 + 1 + t)*(-t**4 + 4*t - 4*t). -15*t**5 + 8*t**3 Expand (2*u**2 - 4*u**2 + 4*u**2)*(-4045*u - 21 + 21 + 44*u). -8002*u**3 Expand -3*l**3 + 3*l**3 + l**3 + (-2*l - l + 4*l)*(-2*l**2 - 2*l**2 + 2*l**2) + 10 - 10 - 7*l**3. -8*l**3 Expand (-1 + 2 - 2)*(-2*f + 2*f + f) + 1612 - 1612 - 473*f. -474*f Expand (29*a**3 - a**2 + 13*a**3 + a**3)*(-2*a - 3*a + 4*a). -43*a**4 + a**3 Expand (j + 2*j - 4*j)*(-8*j + 18*j + 34*j) + 3*j**2 + 1 - 1. -41*j**2 Expand ((2*c - 2*c - 2*c)*(-4 + 3 - 4) - 2*c - 2*c + 6*c + (0 - 3 + 6)*(-2*c + 2*c + c))*(6 - 3 - 1). 30*c Expand (i + i - i)*(9*i**3 + 2*i**3 + 0*i**3)*(5*i + 0*i + 2*i). 77*i**5 Expand -7*v**3 + 7*v**3 + 10*v**4 + (-7 - 2 + 57*v - 55*v)*(-v**3 - 25*v**2 + 25*v**2 + 2). 8*v**4 + 9*v**3 + 4*v - 18 Expand (-58*o + 20 - 20)*(0 + 2 + 0). -116*o Expand (-1 + 8*r**3 + 1)*(8*r**2 + 14*r**2 + 4*r**2) + (-r - r**4 + r)*(-r + r - r) - 6*r**5 + 4*r**5 + 4*r**5. 211*r**5 Expand (-3 + 4 + l - 4*l)*(-3*l - l + 38 - 5*l**2 - 36). 15*l**3 + 7*l**2 - 10*l + 2 Expand (3 + 1 - 3)*(-6*m - 9*m + 14*m)*(1 + 2 - 4). m Expand (0*f + 0*f + f**2)*(0*f**2 + f**2 - 3*f**2) - 7*f**4 - 12*f**4 + 3*f**4 + (-f**3 + f**3 + 3*f**3)*(-3*f - 3*f + 5*f). -21*f**4 Expand (-34*n + 34*n - 24*n**2)*(13*n - 19*n - 14*n)*(0 - 3 + 1). -960*n**3 Expand (0 - 95 + 18)*(-1 - 4 + 3)*(2*p + 5*p - 5*p). 308*p Expand -2*o**2 + 3*o**2 - 3*o**2 + (4 - 2*o - 4)*(-4*o - 213*o - 19*o) + (-3 + 4 + 1)*(0*o**2 - 2*o**2 + 0*o**2) + 3*o**2 - 4*o**2 + 3*o**2. 468*o**2 Expand -53*f - 4*f**4 + 53*f + (3*f**4 - 2*f**4 + 0*f**4)*(-12 + 1 + 1). -14*f**4 Expand (9 + 6 + 3*a + 3*a**2 - 16)*(53*a**2 - 4*a**2 + 4*a**2). 159*a**4 + 159*a**3 - 53*a**2 Expand (7*w + 4*w - 9*w)*(-3*w + 6*w - 9*w) + (-1 + 1 - 2)*(-3*w**2 + 5*w**2 - 4*w**2). -8*w**2 Expand 1036*j**2 - 1036*j**2 + 9*j**4 + (0*j + 0*j - 3*j)*(-2*j**3 + 0 + 0). 15*j**4 Expand (-1 + 1 + 2)*(-71*m - 54*m + 107*m)*(4 - 4 + m**3). -36*m**4 Expand 2*b**3 + 27*b**2 + 32313 - 32313 + 3*b**3 - 2*b**3 - 2*b**3 + (-b**3 + 2*b**3 + b**3)*(4 - 1 - 2). 3*b**3 + 27*b**2 Expand (9*z**2 - 12*z**2 + 29*z**2)*(-14*z**3 + 243 - 243). -364*z**5 Expand 7*c**2 - 8*c**2 + 2*c**2 + (40*c + 395 - 395)*(-c + 4*c - c). 81*c**2 Expand (-2*u - 5*u - 4*u)*(-3*u + 0*u + 2*u + (3*u + 0*u - u)*(-4 - 2 + 7)). -11*u**2 Expand -2*i**4 + 4*i**4 - i**4 + (-i**3 - 3*i**3 + 7*i**3)*(3*i + 4*i - 10*i). -8*i**4 Expand ((-2 + 4 - 3)*(2 - 2*z**2 - 2) + 2*z**2 - 2*z**2 - 9*z**2)*(-1 - 1 + 5). -21*z**2 Expand -3*x**3 + 4*x**5 + 3*x**3 + (3*x**4 - 3*x**4 + x**4)*(2*x + x - x) + (2*x**2 + x - x)*(-3*x**3 + 6*x**3 + x**3). 14*x**5 Expand 3*r - 3*r - 2*r**5 + (r**5 + r**5 + 0*r**5)*(2 + 3 - 6) + (-2*r**3 + 10*r**3 - 9*r**3)*(-r**2 - 4*r**2 + 2*r**2). -r**5 Expand (0 - 1 - 1)*(-46*w + 75 - 75)*(0 - 1 + 0)*(7*w - 4*w + 3*w)*(-3*w - 2*w + 4*w)*(w**2 - 3*w**2 + w**2). -552*w**5 Expand (11*a**4 - 63*a**2 + 63*a**2)*(5 + 269*a - 3 + 2 - 4). 2959*a**5 Expand (d - d + 5*d)*(1 + 0 - 2) - 3 + 166*d + 162*d - 327*d. -4*d - 3 Expand (-137*m**2 - 146*m**2 + 284*m**2 - 10*m**3)*(-4 + 2*m + 4) + 4*m**4 + 0*m**4 - m**4. -17*m**4 + 2*m**3 Expand (-10*v**5 - 14*v**5 - 14*v**5)*(-2 - 5 + 4 + (2 + 0 - 4)*(3 - 5 + 0) + 2 + 3 - 7). 38*v**5 Expand ((4 + 1 - 4)*(5*b - 3*b + 0*b) - 2*b + 7*b + 0*b)*(2*b - 2*b + 4*b**2). 28*b**3 Expand (-133 - 2340*d + 524 + 2339*d)*(-2*d**2 + 4*d**2 - 3*d**2). d**3 - 391*d**2 Expand (1 - 2 + 3)*(3 - 4*u - 3)*(-21*u**2 + 21*u**2 + 2 + 6*u**3). -48*u**4 - 16*u Expand 6*j**5 - j**5 - 3*j**5 + (-16*j - 13*j + 10*j)*(2*j**4 - 2*j**4 - 2*j**4) + 4*j**5 - 7*j**5 + 0*j**5. 37*j**5 Expand (6*q - 3*q - 2*q)*(-4 - 1 + 2) + (-1 + 1 + 1)*(5*q - 2*q - q) - 9*q + 5*q - 5*q. -10*q Expand -2*p**4 - p + p + (-5*p**3 + 3*p**3 + 4*p**3)*(-2*p + 0*p + 0*p) - 4*p + 4*p + 2*p**4 + 96*p**4 + 128*p**4 - 167*p**4 + p**4 + 0*p**4 + 0*p**4. 54*p**4 Expand (3 - 4 + 2)*(-3*v - 5*v + 3*v + 49 + 10*v - 49 + (-v - 2 + 2)*(-9 + 0 - 1)). 15*v Expand (-34*a**2 - 23*a**3 + 34*a**2)*(0 + 2*a + 0) + (-6 + 6 + 2*a**2)*(-a**2 - a + a). -48*a**4 Expand (-2 + 3 + 0)*(12*g + 8*g + 4*g)*(1 + 3 - 1). 72*g Expand (3*k**2 - 36*k**2 - 10*k**2)*(-k**3 + 2*k**2 - 2*k**2). 43*k**5 Expand -3*x + 3*x + 2*x - 9*x - 11*x + 0*x + (-1 - 1 + 0)*(-x - 2*x + 2*x) + 0*x - 2*x + x + 2*x + 1 - 1 - 2*x + 0*x - 2*x. -19*x Expand 2*d**2 + 2*d - 2*d - 1 + 1 - 2*d**2 + 3*d + d**2 - 3*d + (-3 + 2*d + 3)*(3*d + 0*d - 2*d) + 201*d**2 - 2716 + 39*d**2 + 2716. 243*d**2 Expand 3*g**3 + 0*g**3 - 5*g**3 + (16 - 60*g - 10 - 7)*(g**2 + 3*g**2 - 5*g**2). 58*g**3 + g**2 Expand 2*r**3 - r**3 + 0*r**3 + (-1 + 2 + 1)*(-17*r**3 + 0*r**3 - 3*r**3 - 1 + r**3 + 1 + (-2*r - 2*r + 2*r)*(-4*r**2 - 2*r**2 + 5*r**2)). -33*r**3 Expand (-50*l - 2 + 4*l - l)*(-4 + 1 - 2). 235*l + 10 Expand (-n + 4 - 4 + (2 + n - 2)*(19 - 9 + 9))*(4*n + 4*n - 6*n)*(-n + 4*n - n). 72*n**3 Expand (37 + 37 + 44)*(0 + 0 - j)*(2*j**2 + 0 + 0). -236*j**3 Expand (37 - 24 + 30)*(-l - l + l + (0*l - l - 6*l)*(0 + 4 - 2))*(-2 + 2 - 2). 1290*l Expand 3*n - 8*n - 2*n - 15 + 2*n + 25 + 68 - 5*n + 4*n + 2*n + 4*n - 3*n - 3*n + n - 5*n + 5*n + (n + 0*n - 2*n)*(3 - 6 + 1) - 3*n + n + 3*n + n - 3*n + 0*n. -4*n + 78 Expand 4*w**5 + 0*w**5 - 2*w**5 - 6*w**5 + 5*w**5 + 5*w**5 + (2*w**2 + w**3 - 2*w**2)*(0 + w**2 + 0) + (-w**3 + 3*w - 3*w)*(-w**2 + 2*w**2 - 6*w**2). 12*w**5 Expand (-6*r + 40*r + 12*r)*(5*r**2 + 0*r**2 + 2*r**4 - 4*r**4). -92*r**5 + 230*r**3 Expand (-x + 2*x - 2*x)*(-2 + 2 - 2) - 2*x + 0 + 0 + (-21*x + 35 - 35)*(-4 + 3 + 3) + 0*x - x + 2*x. -41*x Expand (-2 - 1 + 2)*(0*t + t - 6*t + (3*t - 4*t + 0*t)*(2 - 3 + 0) - 4*t - t + 3*t - 5*t + 3*t + 4*t). 4*t Expand (-47 + 29 - 50 - 27 - 4)*(3*c**2 + c**2 - 13*c**2). 891*c**2 Expand -12*z - 27*z - 35*z + 2*z - 2*z + 2*z + (-2 + 3 + 1)*(-2*z - z + 5*z) + 0*z - z + 0*z + z + 2*z - 2*z + 0*z + 2*z - 3*z - 5*z + 3*z + 4*z. -67*z Expand (0 - 3 + 2)*(335*h + 214*h + 289*h). -838*h Expand (4*q - 4*q + q + (-2*q + 2*q + q)*(-1 + 5 - 3) + 9 + 2*q - 9)*(-4 + 3 - 3)*(-4*q + 2*q + 0*q). 32*q**2 Expand (k - 2*k + 4*k)*(0*k + 8*k - k)*(16 + 4*k**2 - 16 + 0*k + 0*k + k**2 + (k + 3*k - 6*k)*(0 + 0 - 2*k)). 189*k**4 Expand (19*k + 23 - 23)*(-3 + 5 - 3) + (-5*k + 5*k - k)*(0 + 0 - 2) - k - k + 3*k. -16*k Expand (-157 + 158 - 2*l + l)*(-2*l + l - 4 + 3)*(-2 + 1 + 2). l**2 - 1 Expand (2 + 1 - 4)*(-390*z + z**3 + 390*z - 8*z**5). 8*z**5 - z**3 Expand (-4*f + 4*f + 3*f)*(15 - 351*f**2 + 351*f**2 + 3*f**4). 9*f**5 + 45*f Expand ((0 - 5 - 13)*(1 - 1 + 1) + (-3 + 3 + 2)*(-4 + 0 + 3))*(4*f**4 - 4*f**4 + 2*f**4 + (-4*f**3 - 2*f**3 + 4*f**3)*(2*f - 5*f + 5*f)). 40*f**4 Expand (-2 - r**2 + 2*r - 4*r + 0*r**2)*(5*r**3 + 0*r**3 + 8*r**3 + (0*r**2 + 4*r**2 - 2*r**2)*(-2 + 2 + r) - 4*r**3 + r**3 + 4*r**3). -16*r**5 - 32*r**4 - 32*r**3 Expand (-2*u - 2 + 2)*(1 - 1 + 2*u**4) + (-139*u**2 + 139*u**2 - 17*u**3)*(276*u - 18*u**
{ "pile_set_name": "DM Mathematics" }
by 148? 136 Let r = -8411 - -8628. Calculate the remainder when r is divided by 29. 14 Suppose 0 = 4*l + l - 1310. Let v = 4221 - 4197. What is the remainder when l is divided by v? 22 Suppose 40*h - 130*h + 9090 = 0. What is the remainder when 831 is divided by h? 23 Let o(n) = 6*n**2 - 16*n - 270. Calculate the remainder when o(19) is divided by 785. 22 Suppose -2*j + 2*h = -560, -2*h + 274 = -81*j + 82*j. What is the remainder when 1156 is divided by j? 44 Suppose -5 = -t + 4. Suppose 0 = -5*g + 10*g + o - 1952, 1166 = 3*g - 2*o. Suppose 7*s + 145 - g = 0. What is the remainder when s is divided by t? 8 Let g = 2202 - 2092. Calculate the remainder when g is divided by 91. 19 Suppose 0*n = n + 4. Let l(f) = 2*f**3 + 16*f**2 + f + 18. What is the remainder when 12/n*1 - -52 is divided by l(-8)? 9 Suppose 3*a - 10*d + 5*d = 845, 0 = -5*a + 4*d + 1417. Let s(q) = 4*q**2 - 13*q - 24. Calculate the remainder when a is divided by s(-2). 15 Suppose 3*g - 20*g - 21*g + 2470 = 0. Calculate the remainder when g is divided by 1/((-1)/2) - (-390)/10. 28 Let s = 34118 - 33927. Calculate the remainder when 3250 is divided by s. 3 Suppose -3*v = -5*k - 65, -2*k - 3*k - 20 = 0. Let l = 35 - v. Suppose -2*z - l = -4*z. What is the remainder when 14 is divided by z? 4 Suppose -5*g + 1763 = h - 533, 4*g = -5*h + 1820. Calculate the remainder when g is divided by 126. 82 Let o be (-1 - (-19649)/21) + 8/6. Suppose -2*i + o = 4*j, 2*j + 5*i - 281 = 203. Calculate the remainder when j is divided by -1*(0 - (2 - -45)). 44 Suppose 1578 = -4*t + 5278. Suppose 592 = i + 2*i + 5*o, 5*i = 4*o + t. Calculate the remainder when i is divided by 48. 45 Suppose -9*d + 3*h + 165 = -12*d, 3*d = -4*h - 169. Calculate the remainder when 4 + -2 + -3 - d is divided by 13. 11 Let i = 42 - -6. Suppose 5*l - 2*l = i. Calculate the remainder when (92/(-414) - 2294/(-36))*2 is divided by l. 15 Let v = -8226 + 8394. Calculate the remainder when 330 is divided by v. 162 What is the remainder when 377 is divided by (198/(-7 + -2))/(-1)? 3 Calculate the remainder when 1158 is divided by (-10342)/(-47) - 2326/54661. 58 Let t(b) = -48*b - 91 + 68*b - 46*b. What is the remainder when t(-6) is divided by 22? 21 Suppose i + 21*i = 9332 - 1478. Calculate the remainder when 2854 is divided by i. 355 Let c = 206 - 120. Calculate the remainder when c is divided by (-10 - -17) + 10*3/(12/10). 22 Let v = -20009 + 20590. What is the remainder when v is divided by 103? 66 Let h = 1611 + -1564. Calculate the remainder when 1362 is divided by h. 46 Let k(y) = -y + 72. Let v be k(0). Suppose -4*u = -p + 15, 22 = -2*p - 2*u + v. Let h(r) = r**2 - 21*r - 23. What is the remainder when 112 is divided by h(p)? 20 Let y = -4484 + 15928. What is the remainder when y is divided by 118? 116 Calculate the remainder when 21722*4/60 - (-10)/(-75) is divided by 476. 20 Suppose 3*h + 4*f - 279 = 1189, -3*h = 2*f - 1466. Calculate the remainder when h is divided by 15. 8 Let x(h) = -3*h**3 - 4*h**2 + 32*h - 7. What is the remainder when x(-5) is divided by 2*57/9*3? 32 Let d(m) = -2*m**3 + 101*m**2 - 182*m - 167. Calculate the remainder when d(48) is divided by 262. 259 Suppose 7*d - 24863 = 25292. Suppose -d = -32*k + 10051. Calculate the remainder when k is divided by 60. 58 Calculate the remainder when 134 is divided by -1 - (-267)/7 - ((-118)/7 + 17). 23 Let b(w) = 2*w**2 - 50*w + 589. What is the remainder when 1677 is divided by b(11)? 272 Let m = -83 - -176. Calculate the remainder when 144 is divided by m. 51 Let p(n) = -n**3 - 7*n**2 - n. Calculate the remainder when 134 is divided by p(-8). 62 Suppose -6*d + 7*d - 52 = -4*z, 0 = 3*d - z - 234. Calculate the remainder when d is divided by (-120)/(-18) - 3/(-9). 6 Suppose -f + 3*f = -t + 5, 0 = 4*f - 4*t - 40. Suppose 5*g - f = 0, 5*d = -7*g + 2*g + 5. Calculate the remainder when d + -8*(7/2 + -4) is divided by 4. 0 Let s(l) = l**2 + 2*l - 31. Let f be s(-7). Suppose -2*h + 2*w + 22 = 0, 27 = -h + f*h - w. Calculate the remainder when 29 is divided by h. 5 Let o = -12786 - -13301. Calculate the remainder when o is divided by 120. 35 Let c(w) = 2*w + 28. Let j be c(-6). Suppose -j*b + 54 = -314. Suppose -9*h + 419 = b. What is the remainder when h is divided by 12? 8 Suppose -4*r = -z - 587 - 128, 0 = -z + 5. What is the remainder when r is divided by -3 + (0 - -2) + (-1 - -63)? 58 Let c(s) = -s**3 + 27*s**2 - 26*s + 13. Let d be c(26). Let t = 20 + d. Calculate the remainder when 115 is divided by t. 16 Suppose -2713 + 581 = -4*s. Suppose 0 = 7*g + 29 - s. Calculate the remainder when 122 is divided by g. 50 Suppose i - 226 = -3*s, 3*s + 3*i - 227 = i. Let o be ((-84)/(-70))/(3/10). Suppose o*r = -151 + 215. Calculate the remainder when s is divided by r. 11 Suppose -2*j = 3*a - 54, -a - 48 = 5*j - 79. Calculate the remainder when 29 is divided by a. 13 Suppose -10*h + 6840 = 2*h. Let b = -407 + h. What is the remainder when b is divided by 43? 34 Suppose 8*g = -6*g. Suppose g = m + 2*m - 75. What is the remainder when m is divided by 14? 11 Let u(h) = h**3 - h**2 + 50*h - 136. Calculate the remainder when u(3) is divided by 17. 15 Suppose 3*k = 4*w - 127, 72 - 1 = 2*w + k. Calculate the remainder when w is divided by -15*(-30)/50*1. 7 Suppose -27 = -4*d + 189. Suppose 55*l - d*l = 7. Calculate the remainder when 29 is divided by l. 1 Suppose -2*t - 3*b + 2 - 11 = 0, 2*t = -5*b - 3. Let s(n) = n**2 + 6*n - 13. Let j = 59 - 20. Calculate the remainder when j is divided by s(t). 11 Let p = 82 + -45. Let x = -39 + p. Let m = 18 + x. What is the remainder when 94 is divided by m? 14 Let f be (2 + 10/(-4))/(1/(-4)). What is the remainder when 1/2 + 939/f + 3 is divided by 28? 25 Let b(s) = -25*s - 46 + 18*s + 11*s. Suppose 0*m - 3*m = -39. What is the remainder when m is divided by b(12)? 1 Let k(v) be the third derivative of -2*v**6/5 + v**5/60 - v**4/8 - v**3/2 - 79*v**2. Calculate the remainder when k(-1) is divided by 18. 13 Let a = 42 + -40. Suppose q = -2*m - 3 + 154, 2*m = a*q + 154. Let c = m - 23. Calculate the remainder when c is divided by 28. 25 Suppose -o - 3*r + 9 = 0, r - 17 = -5*o - 0. Suppose 0 = -o*h + 2*v + 105, v = 3*h - 93 - 9. What is the remainder when 46 is divided by h? 13 Suppose 0 = 8*z + f - 11805, 5*z + 259*f - 254*f - 7365 = 0. What is the remainder when z is divided by 31? 19 Let j = 1395 - 1373. Let h(b) = b + 12. Let u be h(-7). Suppose c = -c - 8, u*c - 370 = -3*z. What is the remainder when z is divided by j? 20 Let l be -3 - (3 - 20/1). Let f = 34 - l. What is the remainder when 24 is divided by f? 4 Suppose 17*q - 963 = 176. What is the remainder when q is divided by 67? 0 Let c(z) = -16*z**2 - 16*z - 41. Let h(w) = 7*w**2 + 8*w + 20. Let j(y) = 4*c(y) + 9*h(y). What is the remainder when 95 is divided by j(8)? 15 Suppose 0 = 32*u - 28*u - 924. Suppose -612 = -3*w + u. What is the remainder when w is divided by 57? 53 Let b(t) = t**2 - 143*t - 1596. Calculate the remainder when b(-11) is divided by 91. 7 Let r = 16899 - 16850. What is the remainder when 154 is divided by r? 7 Suppose 13*u - 26614 = -5908 + 34739. Calculate the remainder when u is divided by 17. 15 Suppose -3*w + 184 - 22 = 0. Let r(g) = 3*g**2 + 7*g + 13. Suppose 8*q - 39 = 21*q. Calculate the remainder when w is divided by r(q). 16 Let a(h) = -62*h + 74. Calculate the remainder when a(0) is divided by 8/(2*3/12). 10 Let i = -9636 - -9836. Calculate the remainder when i is divided by 105. 95 Suppose -d = -5*b + 12 + 183, 0 = b + 3*d - 55. Suppose 3*t = 3*i + 35 + b, 4*t + 4*i = 140. What is the remainder when 88 is divided by t? 28 Let q(z) = z**2 - 82*z + 164. Calculate the remainder when 507 is divided by q(83). 13 Let w(d) = d**2 - 1. What is the remainder when 736/5 + (4/(-15))/((-320)/(-240)) is divided by w(-4)? 12 Calculate the remainder when (7 + (-60)/8)*-412 is divided by 195. 11 Suppose 19780 = 53*h + 162*h. What is the remainder when 1113 is divided by h? 9 Suppose 0 = 89*l - 67*l - 7678. What is the remainder when 1397 is divided by l? 1 Suppose 2*c - 675 = -3*c. Suppose -2*f - 24 + 214 = -n, 188 = -n + 4*f. What is the remainder when c is divided by (-5)/(20/n) - 3 - -1? 43 Let q(v) = -186*v - 1269. Calculate the remainder when 1978 is divide
{ "pile_set_name": "DM Mathematics" }
the nearest 100. -500 Let l = 125 + -8. Suppose -2*i - l = -q, -2*q = 2*i - 0*i - 210. Suppose -2*v - 5*o = q - 24, 5*v - o + 226 = 0. What is v rounded to the nearest 10? -50 Let s = 24.000035 - 24. What is s rounded to 5 dps? 0.00004 Let s(x) be the third derivative of 507*x**5/20 + 5*x**4/12 + 2*x**2. Let w be s(-10). Round w to the nearest 10000. 150000 Let d = -5 - -4.99729. Round d to four decimal places. -0.0027 Let h = 4 - 2. Let p(m) = -3625*m**3 + m - 2. Let l be p(h). Round l to the nearest ten thousand. -30000 Let z = 3.3 + -0.3. Let r = z + -1.3. Let a = r - 1.70036. Round a to four decimal places. -0.0004 Let z = -90 + 96.7. Let h = -6.700031 + z. What is h rounded to 5 dps? -0.00003 Let i = 15.549 + -0.149. What is i rounded to 0 decimal places? 15 Let w = 3 - 3.2. Let o = 0.7 - w. Let s = -0.90000068 + o. Round s to seven decimal places. -0.0000007 Let i = 5.44504 - 4.9957. Let o = 0.45 - i. What is o rounded to 4 dps? 0.0007 Let g = 4 - 29. Let o = 25.51 + g. What is o rounded to one decimal place? 0.5 Let o = -723 - -723.0000533. Round o to six decimal places. 0.000053 Suppose 5*o = 78493 - 11508. Suppose j + o + 1603 = 0. Round j to the nearest ten thousand. -20000 Let b = 23.054 - 32.71308. Let d = 2.659122 + b. Let n = -7 - d. Round n to five decimal places. -0.00004 Let a = -0.04 - -0.04044. Round a to four dps. 0.0004 Let k = -8 + 5. Let j = -169518 + 169515.00004. Let v = k - j. What is v rounded to four dps? 0 Let x = -9686578.30000004 - -9686578. Let v = -6 + 5.7. Let n = x - v. Round n to seven decimal places. 0 Let u = 0.09 + 37.91. Let q = 9 - u. Let o = 29.00026 + q. What is o rounded to four decimal places? 0.0003 Let q = 0.09 + -0.06. Let n = q - 0.04. Let y = 0.01005 + n. What is y rounded to five dps? 0.00005 Let k = 92.818 - 93. Round k to two decimal places. -0.18 Let m = -9.9999987 - -10. What is m rounded to seven dps? 0.0000013 Let y = -0.04 - 0. Let g = y + -0.26. Let t = 0.295 + g. Round t to 3 dps. -0.005 Suppose -5*r = -20, -r = 3*z - z + 4999996. Round z to the nearest 1000000. -3000000 Let h = 0.21 + 0.15. Let o = -79612072.64000083 + 79612073. Let z = o - h. What is z rounded to seven dps? -0.0000008 Suppose 5*z - 2 = 3, 5*q + 13148 = -2*z. What is q rounded to the nearest 100? -2600 Let a(g) = -7907*g - 23. Let f be a(11). Round f to the nearest 10000. -90000 Let f = 23348 + -23283.844. Let z = f - 64. Round z to two decimal places. 0.16 Let d(p) = 1584*p**3 - p**2 + 5*p - 3. Let j be d(5). Let t(w) = -w**2 - 7*w + 9. Let r be t(-9). Let n be j/r - (-1)/(-3). Round n to the nearest ten thousand. -20000 Let t = -38957 - -327675. Suppose -4*z - 577468 = 4*j, z = -z + 2*j - t. Let p = z + 34363. What is p rounded to the nearest one hundred thousand? -100000 Let j = 0.421 - 18.321. What is j rounded to the nearest integer? -18 Let p = 118.94 + -123. Let w = p + 0.06. Let z = w - -3.9972. Round z to three dps. -0.003 Let o = -0.75 - -0.15. Let c = -0.60032 - o. Round c to four dps. -0.0003 Let z = -0.219997 + 0.22. Round z to 5 decimal places. 0 Let f be 1 + (2 + 0 - 0). Suppose -3*v - f*d - 1106496 = 0, 0 = 4*d - 5*d + 1. Let t = -31167 + v. What is t rounded to the nearest 1000000? 0 Let a = -12.481 - -9. Let t = a - -3.5. What is t rounded to 2 decimal places? 0.02 Let t(m) = -129*m**2 + 4*m - 1. Let b be (-2)/(-3)*(2 + 1). Let q = 1 + b. Let o be t(q). What is o rounded to the nearest 100? -1200 Let y be 2 + (-3)/(6/(-4)). Let d(i) = -2*i**2 + 2*i + 4. Let n be d(y). What is n rounded to the nearest 100? 0 Let f = 1745.049975 + -1745. Let a = f - 0.05. Let o = 0 - a. What is o rounded to five dps? 0.00003 Let f = 0.114 + -0.1140295. Round f to six dps. -0.00003 Let n = -1.948 + 2. Let q = n + -0.079. Round q to 2 decimal places. -0.03 Let w(f) = -85000*f. Let m = 21 + -31. Let i be w(m). What is i rounded to the nearest one hundred thousand? 900000 Let k(o) = -o**3 + 2*o**2 - 5*o - 10. Let d be k(5). What is d rounded to the nearest one hundred? -100 Let x = 0.35 + 0.81. Round x to one decimal place. 1.2 Let o = 25.214 + -25. Let y = 13562783.21400141 - 13562783. Let u = o - y. Round u to seven dps. -0.0000014 Let u = -109 - -109.0071. Round u to 3 decimal places. 0.007 Let x(i) = -641*i + 4. Let c be x(-6). Suppose -2*o = -7*o + c. Round o to the nearest 100. 800 Let h = 2 + -2.1. Let g = h - -0.6. Let o = g + -0.49996. What is o rounded to 4 dps? 0 Suppose -4*m + 3435 = -4925. Round m to the nearest one hundred. 2100 Let a = -2229.941419 - -2133.9414233. Let z = 223 + -127. Let b = a + z. Round b to six dps. 0.000004 Let h = 13 + -12.999988. What is h rounded to five decimal places? 0.00001 Let w = 1995543 + -607289. Suppose -3*r + x - 2219997 = 0, 2*r + 2*x = -91752 - w. What is r rounded to the nearest one hundred thousand? -700000 Let h(n) = 347*n**2 + n - 4. Let w be h(-4). Suppose -4*k - w = 4*f, -5*k + 0*f - 2*f - 6942 = 0. What is k rounded to the nearest 100? -1400 Let d = -115.22 + 113. Let c = 1.6 + d. What is c rounded to 1 decimal place? -0.6 Suppose g = -0*g + 5. Suppose -2*k - p - 3*p = 24, -20 = g*k + 2*p. Let r be (-3)/((-6)/(-1540004)) - k. Round r to the nearest 100000. -800000 Let x = 5.3926 - 5.4. What is x rounded to three decimal places? -0.007 Let c = 47 - 31. Let f = 15.9999999 - c. Round f to 6 dps. 0 Suppose -4*r - 4*f - 4 = 0, 3 = -r + 2*f + 14. Suppose 16 = -r*x - 32. Round x to the nearest ten. -20 Let u = -352379.885 + 344984512.885. Let l = -344632117.0000023 + u. Let i = 16 - l. What is i rounded to six dps? 0.000002 Let m = -54484.0019 + 54478. Let o = 6 + m. Round o to 3 decimal places. -0.002 Let c = 48825274477308.999989 - 48825254704664. Let x = c + -19772663. Let v = -18 - x. What is v rounded to 6 dps? 0.000011 Let x(o) = -41*o**3 - 3*o**2 + 3*o + 4. Let i be x(3). Let z = i + -489. Round z to the nearest 100. -1600 Suppose 4*n + 18608 = 3*u, 0 = -3*u + 2*n - 5*n + 18594. Round u to the nearest one thousand. 6000 Let n(d) = 62500*d**3 + d**2 + 3*d - 4. Let x be n(-4). Round x to the nearest one million. -4000000 Suppose k = 4*k - 63. Let d be 5466/k - 2/7. Suppose 3*p - 4*c - 148 = 0, -2*c = -5*p + 2*c + d. What is p rounded to the nearest ten? 60 Let b = 1.9946 + -2. What is b rounded to three decimal places? -0.005 Let p be ((-3)/2 - -1)*0. Suppose -3*q - a = -154, 4*q + 5*a - 220 = -p*q. Round q to the nearest ten. 50 Suppose -j = -g - 6*j - 509975, 0 = 5*g + 2*j + 2549990. What is g rounded to the nearest one hundred thousand? -500000 Let p = 14 + 69. Round p to the nearest ten. 80 Let l = 334482.9229789 - -0.0770211. Let r = l - 334412.9869. Let w = r - 70. Round w to three dps. 0.013 Suppose 3*z + 2*b = -5899135, -6*z + z + 3*b - 9831879 = 0. Let j = 3226377 + z. Round j to the nearest 100000. 1300000 Let r = 4.6136 + -59.6646. Let u = -55 - r. Let j = u - 0.051077. Round j to five decimal places. -0.00008 Let v be (-17207)/(-2)*(-9 - -5). Let j = v - -23014. Round j to the nearest one thousand. -11000 Let r(v) = -v**2 - 8*v - 4. Let g be r(-7). Suppose 0 = 5*y + 4*n - 224980, -g*y + 69954 + 65021 = 5*n. What is y rounded to the nearest 10000? 50000 Let u = -207.7 - -208.5488. Let b = u + -0.988764. Let p = b - -0.14. What is p rounded to five decimal places? 0.00004 Let v = -191 - -13. Let b = v + 177.99887. What is b rounded to four dps? -0.0011 Let o = -0.43200301 - -0.432. What is o rounded to six dps? -0.000003 Suppose 5*a + 5 = 0, 2*a - 11 = 3*i + 5. Let b = -3 - i. Suppose -b*n + 6*n - 1380 = 0. Round n to the nearest 100. 500 Let q = 0.231 - -9.469. Let j = 13.62 - q. Let u = -0.12 + j. Round u to the nearest integer. 4 Suppose -2*m = -6*m + 8. Let o(c) = -m + 0 - c + 6*c**2 + 3*c**2. Let u be o(3). What is u rounded to the nearest ten? 80 Let b = 3.6 + -2. Let f = -1.60015 + b. What is f rounded to four dps? -0.0002 Suppose -4*r + 2196 = 716. Round r to the nearest one hundred. 400 Let z = -2.5 - -2.505. Round z to 3 decimal places. 0.005 Let g = 2272 - 5964. Let m = -1192 - g. Let l be m*(1678 - -2)/(-2). Round l to the nearest 1000000. -2000000 Let q = 3 - -1. Let w be (-4)/(-16) + 15/q. Suppose -w*p + 2524 = m, 0 = -3*p + 2*m + 753 + 1129. What is p rounded to the nearest 100? 600 Let f = -10 + 9.99999941. What is f rounded to six dec
{ "pile_set_name": "DM Mathematics" }
multiple of 642 and 856. 2568 What is the lowest common multiple of 84 and 7? 84 Find the common denominator of -55/538 and -21/5380. 5380 Calculate the lowest common multiple of 789 and 12. 3156 What is the smallest common multiple of 16 and 2848? 2848 Find the common denominator of -51/253 and -25/11. 253 Calculate the least common multiple of 936 and 12. 936 Find the common denominator of -13/40 and -119/40. 40 Calculate the common denominator of -83/40 and 149/192. 960 What is the common denominator of 19/255 and -37/40? 2040 Calculate the smallest common multiple of 825 and 50. 1650 What is the lowest common multiple of 60 and 126? 1260 What is the lowest common multiple of 6974 and 18? 62766 What is the common denominator of 56/275 and 137/660? 3300 What is the common denominator of -28/5 and -27/53? 265 Calculate the common denominator of 127/42 and -53/33. 462 Calculate the smallest common multiple of 3 and 20. 60 What is the least common multiple of 216 and 24? 216 What is the common denominator of 99/8 and 51/7? 56 Calculate the smallest common multiple of 4785 and 1740. 19140 What is the least common multiple of 10425 and 50? 20850 What is the lowest common multiple of 36 and 42? 252 What is the common denominator of -29/10 and -43/100? 100 What is the common denominator of -17/117 and 4/117? 117 Calculate the lowest common multiple of 3396 and 16. 13584 What is the common denominator of -97/60 and 5/108? 540 Calculate the least common multiple of 4012 and 8. 8024 What is the common denominator of 137/768 and -1/56? 5376 Calculate the common denominator of -35/96 and -169/2268. 18144 Calculate the common denominator of 101/144 and 13/96. 288 Calculate the common denominator of 41/6372 and 25/6. 6372 Calculate the common denominator of -97/12 and 37/20. 60 Calculate the least common multiple of 686 and 42. 2058 Calculate the least common multiple of 48 and 270. 2160 Calculate the common denominator of -13/36 and -5/24. 72 What is the common denominator of -11/1590 and 5/12? 3180 Calculate the least common multiple of 78 and 6. 78 What is the lowest common multiple of 576 and 39? 7488 What is the lowest common multiple of 513 and 494? 13338 What is the common denominator of 69/320 and 11/120? 960 What is the common denominator of -93/116 and -31/44? 1276 What is the common denominator of -65/6 and -7/313? 1878 Find the common denominator of -63/1304 and -51/22. 14344 What is the lowest common multiple of 18 and 3450? 10350 Calculate the lowest common multiple of 4908 and 105. 171780 Calculate the smallest common multiple of 42 and 100. 2100 Calculate the smallest common multiple of 183 and 24. 1464 What is the smallest common multiple of 30 and 52? 780 Find the common denominator of 119/4266 and 191/2370. 21330 Calculate the smallest common multiple of 48 and 776. 4656 Calculate the lowest common multiple of 384 and 24. 384 Calculate the smallest common multiple of 107 and 535. 535 What is the smallest common multiple of 27 and 10? 270 Find the common denominator of 13/3 and -63/506. 1518 What is the smallest common multiple of 104 and 32? 416 Calculate the lowest common multiple of 30 and 325. 1950 Calculate the common denominator of 79/548 and 139/108. 14796 What is the least common multiple of 2324 and 10? 11620 What is the common denominator of -59/54 and 11/12? 108 Calculate the common denominator of -87/10 and -13/4. 20 Find the common denominator of 109/6 and 11/493. 2958 Find the common denominator of 21/2 and -19/2. 2 Find the common denominator of -71/492 and 95/492. 492 What is the common denominator of -35/2 and -89/912? 912 What is the common denominator of 83/36 and -149/420? 1260 What is the common denominator of -69/154 and -25/462? 462 What is the common denominator of -179/19770 and 23/9? 59310 What is the smallest common multiple of 504 and 792? 5544 What is the common denominator of 123/50 and -61/940? 4700 Calculate the least common multiple of 706 and 8. 2824 Find the common denominator of 49/54 and 49/102. 918 Calculate the common denominator of -50/99 and 137/396. 396 What is the smallest common multiple of 188 and 282? 564 Find the common denominator of -38/1161 and 29/33. 12771 What is the common denominator of 41/40 and -109/216? 1080 What is the common denominator of 89/420 and -83/945? 3780 What is the common denominator of -31/8 and -76/1929? 15432 Calculate the lowest common multiple of 552 and 7383. 59064 Calculate the common denominator of 35/36 and -51/76. 684 What is the smallest common multiple of 11 and 378? 4158 Calculate the lowest common multiple of 294 and 48. 2352 Calculate the common denominator of 155/792 and 41/9. 792 Calculate the common denominator of 83/20 and -13/6012. 30060 Calculate the least common multiple of 2904 and 363. 2904 Calculate the common denominator of 19/30 and -71/261. 2610 Calculate the smallest common multiple of 1042 and 11. 11462 Calculate the lowest common multiple of 54 and 750. 6750 Calculate the lowest common multiple of 95 and 50. 950 What is the smallest common multiple of 226 and 6? 678 Find the common denominator of -43/105 and 32/63. 315 What is the smallest common multiple of 156 and 52? 156 Calculate the smallest common multiple of 14 and 114. 798 Calculate the common denominator of -59/90 and -22/63. 630 What is the smallest common multiple of 3 and 2967? 2967 Find the common denominator of -131/6 and -97/38. 114 Find the common denominator of 21/865 and 31/35. 6055 Calculate the common denominator of 1/136 and 131/306. 1224 What is the common denominator of -79/24 and 145/336? 336 Calculate the common denominator of 25/164 and -71/476. 19516 What is the least common multiple of 64 and 4? 64 Calculate the lowest common multiple of 52 and 2. 52 What is the common denominator of 6/511 and -6/77? 5621 What is the least common multiple of 62 and 8? 248 What is the common denominator of 77/10 and -39/20062? 100310 Find the common denominator of -45/3724 and -80/399. 11172 What is the common denominator of -76/933 and 65/27? 8397 Calculate the least common multiple of 20 and 116. 580 What is the smallest common multiple of 462 and 726? 5082 Calculate the lowest common multiple of 2490 and 1494. 7470 Calculate the least common multiple of 255 and 663. 3315 Calculate the common denominator of -23/35168 and 95/6. 105504 Find the common denominator of 107/690 and 67/48. 5520 Find the common denominator of -119/192 and 149/864. 1728 Calculate the lowest common multiple of 335 and 2345. 2345 Calculate the common denominator of -63/10 and 39/220. 220 What is the smallest common multiple of 10 and 130? 130 Calculate the lowest common multiple of 105 and 150. 1050 Calculate the common denominator of 93/7280 and 87/100. 36400 What is the common denominator of 13/11156 and 63/8? 22312 Calculate the lowest common multiple of 12 and 2070. 4140 What is the least common multiple of 6838 and 8? 27352 Calculate the least common multiple of 35 and 6. 210 What is the common denominator of 81/10 and -7/894? 4470 Calculate the least common multiple of 120 and 72. 360 What is the least common multiple of 35 and 5? 35 What is the lowest common multiple of 9720 and 10692? 106920 What is the smallest common multiple of 280 and 40? 280 Calculate the common denominator of 119/1458 and 47/162. 1458 Find the common denominator of 127/12628 and -113/28. 12628 Calculate the lowest common multiple of 136 and 40. 680 What is the common denominator of -67/22 and -39? 22 What is the lowest common multiple of 3184 and 24? 9552 Find the common denominator of 43/26 and 107/104. 104 What is the least common multiple of 246 and 6? 246 Calculate the common denominator of 73/360 and 69/800. 7200 What is the smallest common multiple of 1239 and 9? 3717 Calculate the least common multiple of 716 and 716. 716 What is the smallest common multiple of 44 and 24? 264 Calculate the least common multiple of 285 and 190. 570 What is the smallest common multiple of 116 and 145? 580 Calculate the smallest common multiple of 290 and 5452. 27260 What is the smallest common multiple of 1034 and 94? 1034 What is the smallest common multiple of 15 and 825? 825 What is the common denominator of -115/174 and 103/78
{ "pile_set_name": "DM Mathematics" }
of k and 64/245. 1960 Let q be -4 + -2 + (-267)/24. Let b = q - -753/40. Find the common denominator of (99/84)/(0 + 1) and b. 140 Suppose 1085*d - 1074*d - 88 = 0. Suppose -2*p = 2*c - p - 8, 4*p = 0. Calculate the smallest common multiple of ((-4)/d*1)/((-7)/112) and c. 8 Let a(v) = -v + 40. Suppose 0 = 11*g + 5*g - 48. Calculate the lowest common multiple of g and a(13). 27 Suppose -5 = -4*h - 5*u, 0 = 2*h - 5*u + 35. Let r(t) = t**2 + 7*t. Let q be r(h). Let n = 34 + q. What is the least common multiple of 30 and n? 120 Let p be 53 - (-12 + 2)/(-2). Let m = -52 + p. Calculate the common denominator of -19/8 and (-624)/88 + m/(-1). 88 Let u = -926155/2142 + 7370/17. What is the common denominator of -71/180 and u? 1260 Find the common denominator of -125/84 and 11/2562*-43 + 19/133. 5124 Let d = 1057 + -1057. Let i = 17935/4 - 4558. Let y = i + 82. Find the common denominator of d and y. 4 Let g = -1592/6183 + 42/229. Calculate the common denominator of g and -38/39. 351 Find the common denominator of 3/860 and 144/(-10) - (-22 + 16) - 2/10. 860 Suppose -6*g = -1 - 5. Let l(u) = -u + 15. Let k(w) = w**3 + 3*w**2 + w + 2. Let d be k(-2). What is the smallest common multiple of l(d) and g? 11 Let w = -601057/3000 + 19/1000. Let h = w + 201. Find the common denominator of h and -37/39. 39 Let m = -474 - 99. Let q = m - -603. Calculate the smallest common multiple of 21 and q. 210 Let m = 2 - -4. Calculate the lowest common multiple of (-10 - 266/(-28))/(-3 - 85/(-30)) and m. 6 Let k = 279 + -277. Suppose -2*f - 3*b + 2 = -0*f, b - 2 = 0. What is the smallest common multiple of k and 14 - -6 - (f - 2)? 24 Let z(y) = 47*y + 8 + 36*y + 95 + 7 - 115*y. What is the smallest common multiple of z(3) and 38? 266 Let j = -78 - -80. Suppose 63 = 9*t - j*t. Let a = t - 95/12. Find the common denominator of a and 121/6. 12 Calculate the smallest common multiple of 3490 and 2094/4*((-230)/(-15) - 10). 13960 Suppose -44*o - 34*o + 80*o - 5020 = 0. Calculate the lowest common multiple of 22 and o. 27610 Suppose 185*q = 62*q + 8118. Calculate the least common multiple of 1584 and q. 1584 Let j(d) = 2*d + 34. Let x be (1 + 4)*(3/(-15) - 2). What is the smallest common multiple of 42 and j(x)? 84 Let v = -36 - -46. Let k be (11 - -1)*v/(-15). Calculate the lowest common multiple of 6 and (-150)/(-12) - (-12)/k. 66 Let d = -132905/8 - -16616. Find the common denominator of d and -57/56. 56 Let k be (-182265)/(-1 + -2) - 3. Let g be 39/52 + (-10205726)/(-168). Let r = g - k. Find the common denominator of 53/14 and r. 42 Let z(n) = 227*n + 273. What is the smallest common multiple of 11 and z(0)? 3003 Suppose -2*f - 3*p - 180 = 0, 3*f = 3*p - 143 - 112. Find the common denominator of 35/44 and (-2 + f/(-48))/((-4)/10). 352 Find the common denominator of 91/5652 and (-9)/42*(-73689)/(-638). 5652 Calculate the common denominator of 10328/16212 - -6*(-18)/189 and -34/3. 579 Let t = -2021464 + 671123553/332. Let g = t + 22/83. Find the common denominator of g and 10/14 + (-203600)/61600. 44 What is the smallest common multiple of 68 and (-9)/(-3) - -3230 - ((-44)/(-11) - 1)? 6460 Find the common denominator of -69/770 and (-698)/1232 - ((-4)/48)/(29/261). 3080 Let x = -14 + 28. Suppose x*i - 7*i - 14 = 0. Suppose -j - 5*g = -28, -i*j + 20 = 3*g - 2*g. Calculate the lowest common multiple of 12 and j. 24 Let l(b) = -b**3 - 11*b**2 - 17*b + 17. Let g be l(-8). Let z = 47 - g. Let o = 110 - z. What is the least common multiple of 27 and o? 216 Let x = -15131523/446 - -33927. Calculate the common denominator of (153/198)/((-1)/(-3*2/2)) and x. 4906 What is the lowest common multiple of 122 and ((-315)/(-40))/(-63) + 2 + 85858/16? 5368 Let m = -2319/5 + 454399/980. Calculate the common denominator of m and -5/686. 1372 Let r(v) = -v**3 + 11*v**2 - 8*v + 5. Let n be r(9). Suppose -n*l = -105*l + 680. Calculate the lowest common multiple of l and 60. 1020 Let j = -82/573 + 3570037/5730. Let v = 277 - -348. Let k = j - v. Find the common denominator of 9/13 and k. 130 Let f be (28939614/8415)/((-12)/5). Let g = 12890/9 + f. Find the common denominator of g and -61/8. 408 Suppose 28 = 4*q - 2*q. Suppose -111 = 5*v - 41. Let z = -10 - v. What is the smallest common multiple of q and z? 28 Let u(x) = x - 24. Let n(w) = -1. Let t(r) = -3*n(r) + u(r). Let i be t(23). Calculate the least common multiple of 20 and 24/15 - i - 568/(-20). 140 Let h(i) = -61*i**2 + 434*i - 19. What is the lowest common multiple of h(7) and 114? 570 Let u = -133213/121932 - -94/1129. Calculate the common denominator of u and -89/10. 540 Suppose 0 = -9*t + 7 - 43. Let a(k) = 15*k + 71. Suppose 5*z - 25 = 0, -3*j + 18 = -j - 4*z. What is the lowest common multiple of j and a(t)? 209 Let b(s) = -19*s - 9. Let n be b(23). Let z = n + 448. What is the smallest common multiple of 86 and z? 86 What is the least common multiple of (8100/(-40))/(-45)*40/18 and 99? 990 Let t be 40/10*13/2. Let f = -21 + t. Suppose -62 = -f*d + 48. Calculate the least common multiple of 20 and d. 220 What is the common denominator of 65/189 and 528/(-24) - -26 - 17/4? 756 Suppose 77*w + 4*w - 44915 = 49369. Calculate the least common multiple of w and 1455. 5820 Suppose 2*g - 401 = 464 - 125. Calculate the least common multiple of g and 333. 3330 Calculate the common denominator of -125/2568 and (-7110)/288 + 11 + 13. 5136 Let l = 32 + -50. What is the smallest common multiple of (-1 - -4)/(-5*(-7)/35) and ((-66)/l - 4)/(2/(-12))? 6 Find the common denominator of ((-146)/(-111))/((-176)/33) and 47/370. 1480 Let k = -2009117/5 - -400356. Let t be -1477 + -1 + 6 + -5. Let x = k - t. Find the common denominator of 38 and x. 5 Calculate the smallest common multiple of 745 and (1152/24)/(-144)*(-446 - (2 + -1)). 745 Suppose 18*z = 17*z + 1890. Let i = -143625/76 + z. What is the common denominator of -91/8 and i? 152 Suppose -3*t + 5*p + 172 = 2, -2*t - 2*p + 124 = 0. Find the common denominator of 29/105 and (-106)/t - 44/(-55)*5. 210 Suppose 0 = 3*y - n - 16, -4*y + 3*n + 32 = 7*n. Calculate the least common multiple of (128/20)/(y - (-56)/(-10)) and 132. 528 Let u = 113 + -113. Suppose u = -l + 3*m + 2016, l + 3*m - 10026 = -4*l. What is the common denominator of l/924 + (-12)/42 and 59/16? 176 Let d(n) = -265789792161*n - 9. Let s be d(-3). Let r = s - 621546239482060891/779496. Let u = r - -2/32479. What is the common denominator of -67/6 and u? 24 Let o be (57/38)/(9/150). Find the common denominator of ((-30)/o)/(39/14) and -79/50. 650 Let u(a) = 12*a**3 - 51*a**2 + 18*a - 5. Calculate the least common multiple of 15 and u(4). 285 Suppose -398 - 1834 = -18*a. Let x = -2 + -1. Find the common denominator of x/(-6) - 85/a and 35/8. 248 Let s be 95/35 - ((-32)/(-28))/(-4). Calculate the common denominator of -107/10 and -3 - (s - (-402)/(-66)). 110 Let k be 9 - 9 - (-232)/28. Let t = -5/42 + k. Calculate the common denominator of -38/33 and t. 66 Suppose -17*p + 1907 + 5278 = 2170. Calculate the least common multiple of p and 115. 6785 Let u(v) = -4*v + 4. Suppose -4*l = -4*s, 0 = 5*s - 2*s + 12. What is the lowest common multiple of u(l) and (-24)/(-20) + 564/30? 20 Suppose -4*j + 1508 = g, 4*g - 4466 - 1414 = 3*j. Calculate the smallest common multiple of 24 and g. 2952 Let l be (3/(-9))/(-1*(-1)/(-18)). Let f = -4/375 + -4613/1125. Find the common denominator of 45/(-80)*(-20)/l and f. 72 Let v = 7414 + -7352. Let p(r) = -r - 1. Let j(t) = -10*t - 6. Let x(f) = j(f) - 2*p(f). What is the smallest common multiple of x(-3) and v? 620 Let j = 1 + 24. Suppose 5*p = -j, -2*p + 12 = -q - 15. Let h = q + 52. What is the least common multiple of 2 and h? 30 Let p(n) = n**3 - 3*n**2 - n. Let c be p(2). Let k(j) = -j - 22. Let u be k(-20). Find the common denominator of -91/82 and (u - c) + (-49)/6. 246 Suppose -4*z = -6*z - 8. What is the common denominator of (z/(-5) + 1)/((-2)/30) and -64/51? 51 Let n(m) = 0*m - 4 + 3*m - 1 - 8. What is the least common multiple of 0 - (-33 + 14 + -7) and n(7)? 104 Let z = -1/148067 + -3405461/11845360. Let y = 3946 + -78941/20. Find the common denominator of y and z. 80 Let m be -2 + (-5 - -13) + 2 - 3. Suppose 2*k - m*v = 7*k - 25, -20 = -3*k - 2*v. Let a = 27 + -17. Calculate the smallest com
{ "pile_set_name": "DM Mathematics" }
2}. 4/55 Two letters picked without replacement from uqqqqquuruqr. Give prob of picking 1 r and 1 q. 2/11 Two letters picked without replacement from vwwwwawawvxvwivv. What is prob of picking 1 i and 1 w? 7/120 Calculate prob of picking 1 g and 1 p when two letters picked without replacement from mpprmgrzx. 1/18 What is prob of picking 1 u and 1 e when two letters picked without replacement from eseeeuussseeu? 3/13 Three letters picked without replacement from {k: 8, x: 1, f: 3, p: 3, z: 5}. What is prob of picking 1 z, 1 x, and 1 p? 1/76 What is prob of picking 2 n and 1 j when three letters picked without replacement from {n: 10, s: 4, j: 2, d: 1, f: 1}? 15/136 What is prob of picking 1 y and 1 s when two letters picked without replacement from yppyppyysypyyyyypyy? 4/57 Two letters picked without replacement from {l: 5, o: 1, g: 2, w: 1, x: 1}. Give prob of picking 1 x and 1 o. 1/45 Two letters picked without replacement from {b: 2, o: 3, s: 1, v: 6}. Give prob of picking 2 o. 1/22 Two letters picked without replacement from eeqoeenooeo. Give prob of picking 1 e and 1 o. 4/11 Three letters picked without replacement from {w: 1, k: 1, r: 1, d: 6, t: 3, p: 1}. Give prob of picking 1 w, 1 r, and 1 d. 3/143 Two letters picked without replacement from {x: 6, j: 6, z: 4, d: 1}. What is prob of picking 1 d and 1 z? 1/34 What is prob of picking 1 l and 1 r when two letters picked without replacement from leqrk? 1/10 Two letters picked without replacement from zuicidtzzizdiidddzt. Give prob of picking 1 z and 1 c. 5/171 Four letters picked without replacement from ddddddddddeyyd. Give prob of picking 2 y and 2 d. 5/91 Two letters picked without replacement from {t: 1, h: 2, x: 1, u: 2, i: 2}. Give prob of picking 2 h. 1/28 Calculate prob of picking 2 e when two letters picked without replacement from ejejjquueueuuuej. 1/12 Three letters picked without replacement from {p: 1, u: 1, a: 2, w: 2}. Give prob of picking 1 a and 2 w. 1/10 Four letters picked without replacement from {s: 16, r: 1, m: 3}. What is prob of picking 2 s, 1 r, and 1 m? 24/323 Two letters picked without replacement from akkaaaaaaa. What is prob of picking 2 a? 28/45 Two letters picked without replacement from {y: 4, u: 4, g: 3, w: 5}. What is prob of picking 1 y and 1 g? 1/10 Four letters picked without replacement from pvpvpvvppvvvvvvvvv. What is prob of picking 2 p and 2 v? 13/51 What is prob of picking 3 k when three letters picked without replacement from {q: 9, h: 1, k: 10}? 2/19 Two letters picked without replacement from ssskfksfl. Give prob of picking 2 f. 1/36 Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fllfkolfkkk. 9/55 Four letters picked without replacement from {w: 2, e: 6, j: 3, c: 2}. What is prob of picking 2 e, 1 j, and 1 c? 18/143 Two letters picked without replacement from {a: 2, z: 15, q: 3}. What is prob of picking 2 z? 21/38 Calculate prob of picking 1 k and 3 y when four letters picked without replacement from kkkiyiyjyykkykyvyk. 49/612 Two letters picked without replacement from {m: 2, s: 2, e: 5}. What is prob of picking 1 m and 1 e? 5/18 Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {w: 1, f: 1, p: 2, h: 1, z: 1, c: 1}. 2/21 Two letters picked without replacement from kkkryptkk. Give prob of picking 1 k and 1 t. 5/36 Calculate prob of picking 2 r when two letters picked without replacement from ggrrrr. 2/5 Calculate prob of picking 2 z, 1 p, and 1 g when four letters picked without replacement from {p: 3, z: 2, r: 1, g: 1, f: 3}. 1/70 Four letters picked without replacement from jajjjaj. Give prob of picking 2 a and 2 j. 2/7 What is prob of picking 1 a and 1 p when two letters picked without replacement from zzpappwazzwazpa? 16/105 What is prob of picking 1 t, 1 e, and 1 w when three letters picked without replacement from {t: 5, s: 1, w: 5, e: 1}? 5/44 Two letters picked without replacement from xxx. What is prob of picking 2 x? 1 Two letters picked without replacement from {y: 1, x: 1, u: 1}. What is prob of picking 1 y and 1 u? 1/3 Four letters picked without replacement from {t: 4, w: 4, o: 7}. Give prob of picking 1 o and 3 t. 4/195 What is prob of picking 2 p when two letters picked without replacement from {g: 6, p: 2, i: 5}? 1/78 Two letters picked without replacement from ffdwwfw. Give prob of picking 1 w and 1 f. 3/7 What is prob of picking 2 t when two letters picked without replacement from ttbttbtt? 15/28 What is prob of picking 2 b when two letters picked without replacement from bbbbbbb? 1 What is prob of picking 1 i, 2 b, and 1 d when four letters picked without replacement from {i: 2, b: 2, d: 1}? 2/5 Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {g: 2, m: 7}. 7/18 Two letters picked without replacement from vfgtffgrfvtfgg. What is prob of picking 1 t and 1 r? 2/91 Three letters picked without replacement from {k: 1, x: 1, f: 4, o: 1, m: 1}. Give prob of picking 3 f. 1/14 What is prob of picking 2 t when two letters picked without replacement from mttmmttmttmmtmmm? 7/40 Four letters picked without replacement from {u: 3, j: 5, d: 1, v: 3, h: 7}. What is prob of picking 1 d, 1 u, and 2 h? 21/1292 Three letters picked without replacement from {e: 5, n: 3}. What is prob of picking 3 e? 5/28 Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {c: 5, q: 1, w: 1, d: 2, e: 3}. 3/220 Four letters picked without replacement from {g: 1, l: 11, n: 3, o: 1, h: 3, p: 1}. Give prob of picking 3 n and 1 o. 1/4845 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from hrrrhrhrrrhrhhrh. 21/40 What is prob of picking 2 e, 1 y, and 1 g when four letters picked without replacement from ggggegggygegggygyyy? 5/323 What is prob of picking 4 b when four letters picked without replacement from {v: 11, b: 5}? 1/364 Three letters picked without replacement from {q: 2, p: 5, v: 4}. What is prob of picking 1 q and 2 v? 4/55 What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 1, j: 3, c: 2, d: 1, y: 4}? 1/55 Three letters picked without replacement from {p: 1, a: 7, q: 9, r: 1}. Give prob of picking 3 a. 35/816 What is prob of picking 1 z and 1 n when two letters picked without replacement from knnzxklz? 1/7 Two letters picked without replacement from {h: 2, v: 1, k: 1, b: 4, y: 2, t: 2}. Give prob of picking 2 b. 1/11 What is prob of picking 2 i and 2 w when four letters picked without replacement from {w: 4, i: 2}? 2/5 Calculate prob of picking 1 a and 2 y when three letters picked without replacement from iaiiyyiaiiaiyay. 24/455 Four letters picked without replacement from eghhhgg. What is prob of picking 2 h, 1 e, and 1 g? 9/35 Two letters picked without replacement from wwqmwssywwsssqsrs. Give prob of picking 2 w. 5/68 What is prob of picking 3 g when three letters picked without replacement from vgvvggvgggvg? 7/44 Two letters picked without replacement from {b: 12, a: 7}. Give prob of picking 2 b. 22/57 Three letters picked without replacement from {j: 1, c: 2, m: 3, a: 1, i: 5, r: 1}. What is prob of picking 1 m, 1 c, and 1 j? 3/143 Calculate prob of picking 1 y and 1 h when two letters picked without replacement from apxphanny. 1/36 What is prob of picking 4 a when four letters picked without replacement from qqaaaqqaqaqqaaqqqqq? 35/3876 What is prob of picking 1 h, 1 q, and 1 o when three letters picked without replacement from {q: 1, o: 2, h: 1, m: 1, c: 4}? 1/42 What is prob of picking 1 b and 1 z when two letters picked without replacement from wzmbzhz? 1/7 Three letters picked without replacement from dldlddqdqqlq. Give prob of picking 2 l and 1 d. 3/44 What is prob of picking 2 d when two letters picked without replacement from eqqhqhhqodohdqq? 1/105 Four letters picked without replacement from snzsmjjmsm. What is prob of picking 1 m, 1 n, and 2 s? 3/70 What is prob of picking 3 r when three letters picked without replacement from {z: 1, h: 1, r: 1}? 0 Three letters picked without replacement from {z: 2, e: 1, t: 1, c: 3, m: 7}. What is prob of picking 1 m, 1 z, and 1 e? 1/26 Calculate prob of picking 2 v and 1 u when thre
{ "pile_set_name": "DM Mathematics" }
-5*v - m + 4*m + 8 = 0, v = 2*m - 4. Calculate the remainder when v is divided by s(7). 0 Suppose -b = 2*s - 33, -4*b - s - 121 = -9*b. Calculate the remainder when 74 is divided by b. 24 What is the remainder when (2 - (-106)/1) + 17/17 is divided by 40? 29 Let j(x) = -x**3 - 10*x**2 + 4*x - 41. Calculate the remainder when 137 is divided by j(-11). 29 Let q = 880 + -865. What is the remainder when 205 is divided by q? 10 Let w = 47 + -35. Suppose n = 4*x - 44, -3*n - w = -x + 10. What is the remainder when 15 is divided by x? 5 What is the remainder when 48 is divided by 5029/141 - (-2)/(-3)? 13 Calculate the remainder when 34 is divided by ((-34)/(-4))/(7*1/14). 0 Let i(y) = -2*y**2 + 6*y + 1581. Calculate the remainder when i(0) is divided by 7. 6 Let y = 447 - 428. Calculate the remainder when 49 is divided by y. 11 Let s = -38 - -53. Let d = 17 + s. Suppose -2*y + d = -2. Calculate the remainder when 49 is divided by y. 15 Let z be 13*-6*10/15. Calculate the remainder when 17 is divided by z/(-6) + ((-119)/21 - -6). 8 What is the remainder when 189 is divided by 18/((9/4)/(21 - 15))? 45 Suppose 40 = -2*i - 3*i. Let j = i - -12. Let m = -9 - -16. What is the remainder when m is divided by j? 3 Let k = -97 + 186. Let v = k - 46. Suppose 98*u - 15 = 97*u. What is the remainder when v is divided by u? 13 Suppose -6*w = 11*w - 833. What is the remainder when w is divided by 4? 1 Calculate the remainder when (92/115)/(2/140) is divided by 34. 22 Let t(p) = p**3 + p**2 + p + 1. Let z be t(4). Suppose -23*c - z = -28*c. Calculate the remainder when 59 is divided by c. 8 Let d(s) = -s + 1. Let l(q) = -66*q + 22. Let m(k) = 33*d(k) - l(k). What is the remainder when m(4) is divided by 29? 27 Suppose -4 + 54 = -5*n. Let m = n - -28. What is the remainder when m is divided by 7? 4 Let u = -4 + 61. Suppose 2*n + 7 = u. Calculate the remainder when n is divided by (-56)/(-4) - 2/2. 12 Suppose 0 = 4*g + z - 179, 2*g = -5*z + 80 - 13. What is the remainder when g is divided by 16? 14 Suppose 0 = -49*k + 3*k - 24 + 944. Suppose 3*h + 5*g - 314 = 0, -g = 4*h - 182 - 214. Calculate the remainder when h is divided by k. 18 Suppose 3*j - 395 = 5*k, 0*j - 3*k + 647 = 5*j. Suppose p + j = 6*p. Calculate the remainder when p is divided by (2 - 26/4)*-2. 8 What is the remainder when 416 is divided by 145/(-10 - (-20 - -9))? 126 Let d(c) = 5*c**3 - 3*c**2 + 17*c - 26. What is the remainder when 464 is divided by d(2)? 32 Suppose -10*o + 1882 = -2578. What is the remainder when o is divided by 28? 26 Let m be (-3)/((60/(-8))/(-5)). Let j be 2/(-4)*m*12. Calculate the remainder when 13 is divided by j/(-24) + (-34)/(-4). 5 What is the remainder when 10/(-8) + -5 + 5071/44 is divided by 43? 23 Suppose 5*p - 2*w = 128 + 45, -4*p + 3*w + 137 = 0. Let k = 32 - 31. Calculate the remainder when p is divided by (k - -21) + 4/(-1). 17 Let w(j) = -j**3 + 20*j**2 - 37*j + 107. What is the remainder when w(18) is divided by 23? 20 Let h(v) = -v**3 + 3*v**2 + 6*v - 6. Let o be h(4). Let a(d) = 3*d + 28 + d**o - 5*d - 35. Calculate the remainder when a(6) is divided by 5. 2 Let p = 1061 - 920. Calculate the remainder when p is divided by 3. 0 Let d(r) = r**3 - 11*r**2 - 59*r + 17. What is the remainder when d(15) is divided by -1 + 1*1*13? 8 Calculate the remainder when (1 + 141)*(-3 + 6)/6 is divided by 15. 11 Let n be (3 + -4)/((-2)/390). Let o be n/12 + (-2)/8. Let s = o - -107. Calculate the remainder when s is divided by 31. 30 Let j(h) = 10*h - 1. Suppose g - 18 = 3*g. Let c = 15 - g. What is the remainder when c is divided by j(1)? 6 Suppose 2*b + 16*b = 3888. What is the remainder when b is divided by 31? 30 Let w(o) = o + 110. What is the remainder when 260 is divided by w(17)? 6 Suppose 4*j - 137 + 50 = -p, -5*j + 2*p = -99. Let o be -2*(2 + (-28)/(-8)). Let l = o + j. What is the remainder when 29 is divided by l? 9 Let d = -219 + 301. Calculate the remainder when d is divided by 29. 24 Let o = 97 - 146. Let k = 77 + o. Calculate the remainder when 54 is divided by k. 26 Let l(x) = -x**3 - 20*x**2 - 24*x - 35. What is the remainder when l(-19) is divided by 7? 4 Let h = -437 - -446. What is the remainder when 510 is divided by h? 6 Suppose 0 = 3*w + 5*r - 289, -3*w = -2*w + 4*r - 87. Let c be -4 - (-3 - -1) - 24. Calculate the remainder when w is divided by (c/(-4))/(2/8). 25 Let r(i) = 108*i**3 + i**2 + i - 1. Let z be r(1). Suppose 0 = -17*c + 18*c - 154. Let p = c - z. Calculate the remainder when p is divided by 16. 13 Let d(x) = 3*x - 9. Suppose -5*a + 460 = -m + 4*m, 3*a - 2*m = 295. Calculate the remainder when a is divided by d(11). 23 Let w(t) = -5*t**3 - 10*t - 20. Calculate the remainder when w(-3) is divided by 34. 9 Suppose 25*l - 2313 = 412. Calculate the remainder when 189 is divided by l. 80 Let l = 23 - 15. Suppose 17 = l*g - 63. What is the remainder when 1/3 + 94/6 is divided by g? 6 Let c(y) = 2*y**2 - 2*y + 10. Suppose o + 5*p = -13, -3*p - 2 = 3*o - 11. Let q be c(o). Let k = q + -60. What is the remainder when k is divided by 12? 10 Suppose 5*j = v - 76, 4*v - 5*v + j = -64. Calculate the remainder when 121 is divided by v. 60 Let q = -58 - -60. Calculate the remainder when 29 is divided by q. 1 What is the remainder when 725 is divided by (-6*(-2)/(-10))/(6/(-260))? 49 Let w(h) = h**2 - 13*h - 317. Let q = 254 + -150. Calculate the remainder when q is divided by w(-13). 20 Let g(t) = 8*t**3 + 2*t**2 - t. Let a be g(1). Suppose 0*d - a = -d. Suppose 3 = 12*m - 57. Calculate the remainder when d is divided by m. 4 Let u = -358 + 368. What is the remainder when u is divided by 6? 4 Calculate the remainder when 87 is divided by (-242)/(-8) - (24/(-32) - -1). 27 Let k = 132 - 116. What is the remainder when 371/3 + (-28)/42 is divided by k? 11 Suppose -t + 17 = 12. Let l = t + 15. What is the remainder when l is divided by -1*11*-1 - 0? 9 Suppose y + 2*y + 3*l = 279, -l + 469 = 5*y. Suppose -4*n - 40 = -z, -3*z + 88 = -8*n + 4*n. Calculate the remainder when y is divided by z. 22 Suppose -5*b + 1872 = 2*s - 897, b - 4*s - 567 = 0. What is the remainder when b is divided by 140? 135 Let r(m) = -6*m**2 + 14*m - 24. Let t(c) = -7*c**2 + 13*c - 24. Let o(y) = -6*r(y) + 5*t(y). What is the remainder when (-1 + -1)*(-2 + -2) is divided by o(18)? 2 Suppose -4*n = -y - 2373, -23*y = -5*n - 20*y + 2975. Calculate the remainder when n is divided by 7. 4 Suppose 2*g + 922 = 5*i + 3230, -2*g + 8 = 0. Let h be i/(-45) - (-6)/(-27). Suppose -14*d = -h*d - 52. What is the remainder when d is divided by 8? 5 Let v(s) = -7*s + 45. Calculate the remainder when v(1) is divided by 7. 3 Suppose 0 = -3*f - c + 81, -4*f + 0*c - 2*c = -106. What is the remainder when ((-110)/(-4))/(1/2) is divided by f? 27 Suppose -6*y + 10*y - 3*p = 796, -3*p = 2*y - 416. Calculate the remainder when y is divided by 20. 2 Suppose -8*f = -59 + 3. What is the remainder when 23 is divided by f? 2 Suppose 0 = 6*n - 96 + 66. What is the remainder when 46 is divided by n? 1 Let y be 1*-6*(-5)/15. Suppose 3*w + y*w = j + 572, -4*j = -12. Calculate the remainder when w is divided by 29. 28 Suppose -4*u = -70 - 6. Suppose 3*x - 3*d + 6 = 39, 50 = 5*x - 4*d. Calculate the remainder when u + 1*(-1 + -1) is divided by x. 5 Let r(g) = -g**2 - 10*g - 15. Let o be r(-9). Calculate the remainder when 82 is divided by (5 + o + -5)*7/(-2). 19 What is the remainder when 99 is divided by (-30)/15 - (0 - 12)? 9 Suppose 0 = -g - 4*g + 15, -293 = -4*a + 5*g. Let j = 138 - 98. Suppose 0*z = -2*z + j. What is the remainder when a is divided by z? 17 Let g = 75 + -40. Suppose -28 = -4*s - 12. Suppose 8 = -s*p + 88. What is the remainder when g is divided by p? 15 Let t = -172 - -248. Calculate the remainder when t is divided by 23. 7 What is the remainder when (-7)/(12/21 + 139/(-231)) is divided by 78? 75 Suppose -24*z + 3*t + 27 = -21*z, -2*z - 5*t = -18. What is the remainder when 206 is divided by z? 8 Let z(b) = -5*b + 34. What is the remainder when 215 is divided by z(-4)? 53 Let k(m) = m**3 - 12*m**2 + 14. Let a be k(12). Suppose 5 = 5*j, 5*p - a - 9 = 2*j. Calculate the remainder when -4*(0 - p) + 3 is divided by 6. 5 Let a = -1621 + 1638. Calculate the remainder when 42 is divided by a. 8 Suppose 0
{ "pile_set_name": "DM Mathematics" }
t z be f(17). What is the nearest to 0.1 in 2, z, 2/7, 0.201? z Let s(v) = v**2 - 16*v + 6. Let x be s(16). Suppose -4*j + x = -2. Let k = -0.6 - -1. Which is the closest to -2? (a) k (b) j (c) -2/11 c Let z = 9.32 - 9.3. Which is the closest to 0.1? (a) 5 (b) z (c) 2/7 (d) 1 b Let x = -1/203 + -199/812. Which is the nearest to x? (a) -4 (b) 1 (c) -0.5 c Let g = 0.69 + -5.69. Let q be (-2)/(-4)*12/(-14). Which is the closest to 21? (a) -0.2 (b) q (c) g a Let h be 7/((-1470)/222) + (-12)/(-14). Let j = -0.4 + 0. Which is the nearest to -1/2? (a) -5 (b) h (c) j c Let o = 48 - 47. Let n = 2.97 + 0.03. Which is the nearest to 1? (a) -2 (b) o (c) n b Let y = -1.3 - 0.7. Let k = 2 - y. Let z = -0.1 - -1.1. What is the nearest to z in -0.5, 0.5, k? 0.5 Let l = 10.6 + -28.4. Let s = l + 12.8. What is the nearest to -0.1 in -4, -4/15, s? -4/15 Let w be ((-55)/(-100) + 2/10)/1. What is the closest to 1 in -0.4, 16, w? w Let v be (-14)/6 + 21/63. Let n be 26/12 - ((0 - -5) + v). Which is the closest to n? (a) 3/5 (b) 2 (c) 0.2 c Let l = -0.74 - -0.54. Which is the closest to 4? (a) l (b) 4/7 (c) 5 c Let w = -20/3 + 22/3. Let u = 29.5 + -44. Let r = u - -15. Which is the closest to w? (a) 0 (b) r (c) 2/3 c Let l = 39 - 38. Let k be l - (-2 + (-52)/40*-2). Which is the nearest to 2? (a) 4 (b) -5 (c) k c Let h be 3/2 + 15/10. Let i(t) = -5*t**2 - 3*t**2 - t**h - t + 7*t**2. Let v be i(0). Which is the closest to 2? (a) -0.3 (b) 1 (c) v b Let d = 237/4 - 59. Let x = 0.032 + -3.032. What is the closest to 0 in -1/3, x, d? d Suppose 4*i - 85 = -93. Let h be (-1 + i + 5)/(3 + -11). What is the nearest to h in 10, 5, -1? -1 Let k = 0.19 - 0.39. Let a be 0/(-5 - (-2 + 2 - 3)). What is the closest to a in k, 1, -1/4? k Let y = 0.33 - -0.07. Let g be (40/14 - -3)/1. Let x = -43/7 + g. What is the nearest to -1 in y, x, -2/3? -2/3 Let f = 426 - 426. Which is the nearest to 1? (a) -2 (b) 0.4 (c) f b Suppose -5*n = -4*t + 3*t + 45, 5*t - 4*n = 120. Suppose 5*u + 4*g = 5*g - 5, -4*g + t = 0. Which is the nearest to u? (a) 0.5 (b) 0 (c) -8 b Let p = -3.093 + -14.917. Let k = p + 18. Let o = -53 + 52. What is the nearest to o in -4, -5, k? k Let s = -133/10 + 29/2. Suppose p + 3*t - 15 = 7*t, -5*t - 3 = 4*p. Which is the nearest to -1? (a) 0.4 (b) p (c) s a Let m = 2.9 + -2.4. Let z = -2 + 1.9. Let a(g) = g**3 + 8*g**2 + g + 9. Let p be a(-8). What is the closest to p in -0.5, m, z? m Let w = -1 - -1. Let z = 4.27 + -2.27. Let d = -101/3 - -34. Which is the closest to d? (a) w (b) -1 (c) z a Let r = 0.76 - 1.76. Let i = -19 - -26. What is the closest to r in 0.2, i, 5? 0.2 Let t be (99/(-132))/(6/(-4)). Which is the closest to t? (a) 2 (b) 5 (c) -7/8 (d) -0.1 d Let i = -1072.5 - -1072. What is the closest to 0.1 in -0.4, 5, i, 19? -0.4 Suppose -8*u = -4*u + 12*u. Which is the nearest to u? (a) -1.8 (b) 4/7 (c) -2 b Let t = 4 - 4.2. What is the closest to -0.1 in 1/6, 2/5, t, -1/6? -1/6 Let l = 908 + -912. What is the closest to 0.14 in -2/3, l, -2, -0.4? -0.4 Let q(l) = 2*l**3 + 9*l**2 + 2*l - 8. Let s be q(-4). Suppose s = 6*h - 8*h. Which is the nearest to h? (a) -0.06 (b) -2/13 (c) 2 a Let t = 9 - 8.8. Let n = 1.3 - t. Let s = n - 0.8. Which is the nearest to 2/5? (a) s (b) -2 (c) -0.5 a Let w(q) = -34*q + 3. Let o be w(0). What is the closest to -1/4 in -2/15, -13, o, 0.3? -2/15 Let a = -0.57 - -0.57. Suppose 2*b - k + 5 = b, 9 = -b + 2*k. What is the nearest to 0.1 in b, a, -0.2? a Suppose -3*h + 70 - 235 = 0. Let z = -50 - h. Which is the closest to 1? (a) 1.6 (b) 0.1 (c) z a Let r = 0.162 - -0.138. Let q = -11.96 + 12. Let v = -1.04 + q. Which is the closest to 0.1? (a) 2 (b) r (c) v b Let d be 53/2 - (-2 - 9/(-6)). Suppose 22*v - d*v = 60. What is the closest to -1/3 in v, -1, -0.3? -0.3 Let y = -6 - -5. Suppose -5*x + 385 - 35 = 0. Let z = x + -488/7. Which is the closest to y? (a) -1/3 (b) z (c) 4 a Let d be (3/(-6) + 2)*-8. Let o be (-13 - d)*(-2)/((-4)/(-10)). Which is the nearest to -1/3? (a) -2 (b) o (c) -0.32 c Suppose 19*s - 38 = 38. What is the nearest to 3/8 in 5, -3, s? -3 Let g be (12/(-8) - 0)*(-6)/(-18). What is the closest to g in -0.2, -73, 1/5? -0.2 Let l be (-3)/(-8)*-2*6/18. Let t = -15/4 + 87/20. What is the closest to -2/3 in 4, t, l? l Let m = -33 + 52. Let y = -15 + m. Which is the nearest to 2? (a) -2 (b) y (c) 2 c Let d = -2740/3 - -912. What is the closest to -0.1 in 0, -2/25, d, -4? -2/25 Let t = -1 + 1.02. Let n = t + -0.42. Let p = 4138 - 37240/9. What is the closest to p in -0.2, n, 6/11? 6/11 Let q = -1.2 - 17.8. Let a = q + 11. Let u = a + 7. What is the closest to -1/4 in -1/2, 0.3, u? -1/2 Suppose 0 = -2*z + 8, -y + 2*y - 4*z = -17. Let u = 0 - -4. Let x = 18.04 + -19.04. Which is the closest to y? (a) u (b) x (c) 0.2 b Let z = 155 + -156. Let q = -133/4 - -33. What is the closest to z in -2, q, -3? q Let s = -283 + 278. Which is the closest to -2/5? (a) 3 (b) 13 (c) s a Let r = 3.35 - -12.75. Let y = 16 - r. Suppose 3*i + 6 = -2*f - 1, i - 5*f - 9 = 0. Which is the closest to y? (a) 2 (b) -4 (c) i c Let k = -19 + 8. Let t = k - -12. Which is the closest to 1? (a) t (b) 5 (c) 1/13 a Let k be -2*((-7)/4 + (-7)/28). Let l = -13.2 + 15. What is the closest to l in -1/2, k, -4? k Let n = -3.403 - -0.403. What is the closest to -1.2 in 10, -1, 4, n? -1 Suppose -4*o + 25 = o. Suppose -3*l = -o*l. Let w = l - -3. Which is the closest to -2/7? (a) 0.4 (b) w (c) 0 c Let y = -1 + 4. Let o = 2.76 - 2.8. Let i = o + -0.06. What is the closest to -3 in y, i, -1/4? -1/4 Let n = 28.15 - 28.35. Let y = -3.1 - -0.1. What is the nearest to n in y, -5, 2/9? 2/9 Let d be (-42)/110 + (-48)/(-15) + -3. Let x = 0 + -0.3. Which is the nearest to d? (a) -2 (b) -4 (c) x c Let q = -1556 + 1557. What is the nearest to 0.1 in 11/5, 0.3, q, -1? 0.3 Let p = -22 - -18. Let l = p - -7. Let n = -33 - -38. Which is the closest to 0? (a) l (b) 5/6 (c) n b Let n = 1.908 + -1.708. What is the closest to -7 in n, -2, -3? -3 Let w = -278.1 - -278. Let u = 0.5 - 0.1. What is the closest to 2 in w, u, 2? 2 Let r = 55/69 + -3/23. Which is the nearest to -2? (a) 5 (b) 93 (c) r c Let y be (-3)/2*(-4)/(-24). Suppose 5*r + 11 = -h, 3*r - 4 = -r - 4*h. Let v = -502 - -502.2. Which is the closest to v? (a) y (b) r (c) -0.4 a Let v = 19255/16494 - 2/2749. What is the closest to 1/3 in 0.1, -13, -1, v? 0.1 Let t = 0 + -0.2. Let y be (((-3)/1)/3)/((-1)/2). Let o be (12 + -4)/(-56)*-2*y. What is the closest to 3 in t, o, -0.5? o Let y = -1.8 - -2.5. Let m = 1 - y. Let h(s) = -3*s + 35. Let n be h(11). Which is the closest to n? (a) m (b) -2/3 (c) 1 c Let u = 3.83 - 4.03. What is the nearest to 2 in 1, -54, 0.4, u? 1 Let w = -1741/2 + 870. Let a = 0.016 + 0.294. Let n = 0.01 - a. What is the closest to w in 6/11, 0, n? n Let h = 45 - 44. What is the closest to h in -1/4, 0.5, 2/9? 0.5 Let f = -0.9 + -0.1. Let d = 70 - 71. Let h be 260/70 + (-5 - d). What is the closest to 1 in 1, h, f? 1 Let q = -16.7 - -17.7. Let u = 79/9 + -1519/171. Which is the nearest to -1? (a) u (b) -6 (c) q a Let x = -0.95 + 1. Let i = -4.66 + 4.56. What is the nearest to -0.2 in x, 5, i? i Let l = -625 + 626. Let k = 5.13 - 0.13. What is the closest to 0.1 in k, l, -3? l Let w = -22 - 29. Let o = -50 - w. What is the nearest to -2/3 in 1/7, -5, o? 1/7 Let o = -50 - -55. Let r(q) = -q**2 + 4*q + 1. Let h be r(o). What is the closest to 1 in h, -0.4, 3? -0.4 Let n = -16.3 - -16. Let k(a) = -a**2 - 2*a + 2. Let v be k(4). Let o = -22 - v. What is the nearest to n in 2, 1/5, o? o Let v = -125 + 137. Which is the closest to v? (a) 3/7 (b) -4 (c) 1/2 c Let v(x) = x**3 + 21*x**2 - 52*x - 141. Let s be v(-23). What is the closest to 2 in 3/5, 2, s, 0.04? 2 Let l(n) = -n**2 + 6*n - 4. Let f be l(4). Let k = -199 + 195. Let h be (-1 + 3)/(0 + -7). What is the closest to -0.1 in k, f, h? h Let u(z) = -6*z + 13. Let a be u(3). What is the nearest to 0.2 in -1, 42, a, -4? -1 Suppose -2*j = -4 - 52. Let w be 25/j + 1/(-7). What is the closest to 0.1 in 1/5, w, 1? 1/5 Let j = 137 - 120. What is the nearest to -1 in j, 1, -0.5? -0.5 Let f = 674 + -677. What is the closest to -7 in 9, f, -0.2? f Let z be (24/(-
{ "pile_set_name": "DM Mathematics" }
Solve 3*d = -4*a - 25, 8*a - 31 = 38*a - 4*d + 51 + 26 for a. -4 Solve -5*j + 7*j + 3*y + 31 = 0, 0 = -2*j - 3*y + 5*y + 24 for j. 1 Solve 4*j - j = 7*j - 0*j + 6*u - 38, -21*j = -u - 37 for j. 2 Solve -4*u + 0*u + 20*l + 76 = 0, -24*u - 10*u - 74 = -36*u - 2*l for u. 34 Solve -a + n + 1889 - 1914 = 0, 0 = a - 111*n - 415 for a. -29 Solve -2*g - 26 = 2*f - 0*f, 4798*f + 422 = 4793*f - 56*g for f. -6 Solve 13*q + 7*q - 4*y + 8 + 7 = -14*q + 34*q - 1, 2*y = q for q. 8 Solve -2*q - 26 = 691*v - 692*v, -v - 6 = -10*q for q. 4 Solve -1308*y - 5*q - 1677 = -1253*y + 488, -2*y + q = 74 for y. -39 Solve 4*o - 2*o = -4*f - 24, -47*o + 1284*f = 1280*f - 122 for o. 2 Solve 6*y + 6 = -5*c + 2*y, -22*c + 3*y + 2 = -25*c - 4 for c. 2 Solve 3*i = 3*m + 27, -10*m + i + 63 = -46 + 118 for m. 0 Solve -28276 = g - w - 28263, 2*w = -4*g - 40 for g. -11 Solve -6*p + 192917 = -p - 2*g + 192913, -28 = 4*g for p. -2 Solve -5*b = -677217 + 677122, c - 96 = -5*b for c. 1 Solve -5*w + 160*h - 340*h - 25 = -178*h, -2*w - 3*h = -1 - 0 for w. -7 Solve -2*y - a - 11 = 0, 2*y + 4*a - 28504 + 28542 = 0 for y. -1 Solve -70887 + 70770 = -i + 8*o, 0 = 2*i + 2*o + 36 for i. -3 Solve -3*s = 3*v + 18, 14101*v - 24 = 14105*v + 2*s for v. -6 Solve -k = -c - 4*k - 30, 85*k = 5*c + 86*k + 122 for c. -24 Solve 5*c - 32 = 102*t, -3 - 47 = 5*c + 3*t + 23 for c. -14 Solve -4*f - 831 + 924 = -15*w, -4*w - 2*f - 11 = 23 for w. -7 Solve 12*z + 2*z - 3*t + 0*t = 4*z + 55, -27*t = 5*z + 115 for z. 4 Solve -1382*z + 1376*z - 18 = -2*a, -a - 3 = 3*z for z. -2 Solve 1809*q - 1801*q - 2*n - 34 = 0, q - 5*n = 104 for q. -1 Solve 2*g - 2*g - 5*g = -m - 20, 0 = -88*g + 86*g - 6*m + 8*m for g. 5 Solve 8 = -15*q + 10*q + 3*n + 1, 23*q + 4*n = 39 for q. 1 Solve 4*x = -3*j + 81, -188*j + 2*x + 137 = -225*j for j. -5 Solve 100*f + 124*f + 112 = 228*f - 0*y + 2*y, 2*f - 56 = 4*y for f. 28 Solve 19*a - 8 = 12*a + 9*a, 0 = 5*y - 61*a - 234 for y. -2 Solve 2*q - 24 = -p, -4*p = q - 59407 + 59381 for q. 10 Solve 2*w + 5*n - 50 = -4*w - 8*n, -4*w + 3*n = -10 for w. 4 Solve u + 3*r = 41, -504*u = -505*u + 3*r + 23 for u. 32 Solve -5*k + 5*h = -111666 + 111641, -5*k = -3*h - 7 for k. -4 Solve -20 = 4*t + z, -56*z + 34 = t - 59*z for t. -2 Solve -2*x + b + 11 = 0, 12*x - 2*b + 16058 = 16080 for x. 0 Solve -160 = -5*v + 5*c, 7 + 16 = -2*v - c for v. 3 Solve 141*i - 18056 = -4*j, -727 + 219 = -4*i + 2*j for i. 128 Solve 0 = -2*o - 879 + 889, -4*o + 18 = -n for n. 2 Solve -u - 5*n = 2*u - 44, n + 494 = u + 490 for u. 8 Solve 0 = 5*v + 3*y - 58, 5*v - 3*y + 410 - 402 = 0 for v. 5 Solve -432 = -6*w + 5*p - 470, -2*p = w - 4*w - 7*p - 34 for w. -8 Solve -4*m - 66832*a + 66831*a - 106 = 0, 3*m - 5*a + 68 = 0 for m. -26 Solve 4*k + 220 + 313 - 430 = 5*g, 4*g = -2*k + 20 + 52 for g. 19 Solve -1661*y - 2*j = -1658*y - 185, 0 = -3*y - 6*j + 177 for y. 63 Solve 5*j + 125 = 0, -394*y + 67 = -396*y - 3*j for y. 4 Solve -27*w + i - 4*i + 39 = 15, 0 = -3*w + 3*i + 6 for w. 1 Solve 645*u = 644*u - c - 13, -2*u = -c + 29 for u. -14 Solve 6*m + 3 = 7*m - 5 - 1 + 4, 4*w + 6*m - 50 = 0 for w. 5 Solve -y + 21 = 4*f, -4*f - 6888718 = -4*y - 6888694 for y. 9 Solve 2*t + 526 = -2*z + 1084 - 548, -8*z + 15 = -4*t - 27 - 34 for t. -3 Solve -14 = -4*q - 2*n + 3*n, 2*q - 26 = 9*n + 32 for q. 2 Solve -54*c + 110*c + 2*l = -888, c - 2*l = -12 - 12 for c. -16 Solve 0 = 23*i - 3*t + 187, -814*t = -3*i + i - 809*t - 21 for i. -8 Solve -9*s = 5*u - 161, 107*s = u + 103*s + 78 for u. -2 Solve -5*z - 10*z = 11*z - 16*z - 5*i + 75, -z = -5*i + 30 for z. -5 Solve -8*b - 11 = -3*f, -3*f - 2*b + 85 = 84 for f. 1 Solve 18 = -12913*y + 12911*y - 2*a, 0 = -2*y - 3*a - 23 for y. -4 Solve -4195261 + 4195195 = 5*c + 4*u, -c - 5*u = 51 for c. -6 Solve 4*v = 5*g - 0*v + 15, -g + 85*v - 531*v = -134*v + 435*v + 3742 for g. -7 Solve -4*b - 8*a - 4*a + 130 = b, 3*b - 20*a - 10 = -68 for b. 14 Solve -4*k = -5*i - 35, -i - 908*k - 173 = -942*k for i. -3 Solve -6*x + 29*r - 13 = -11*x + 26*r, -5*x - 73*r = -83 for x. 2 Solve 3*x - 746922 + 746994 = 3*p, 2*x - 4*p = -104 for x. 4 Solve -1960376*x + 1960377*x + 3*n = 37, -93 = -4*x - n for x. 22 Solve -2*o - 3*c = 69 - 87, 0 = 4*o - c - 8 for o. 3 Solve 4*s = 3*c + 2*c + 51, s + 18 = 39 - 12 for c. -3 Solve 205 = 5*n + 5*k + 70, 0 = 4*k - 19*k + 10*k + 25 for n. 22 Solve -41*h + h + 26*h + 39 = 3*s - 4*s - 27*h - 21*h, 0 = -h - 1 for s. -5 Solve -3*a + 450*s + 38 = 454*s, -3*a + 13*s + 4 = 0 for a. 10 Solve -5*m + 23 = i, 3*i - 18024*m = -18023*m - 11 for i. -2 Solve 2*d + 3*j = -8 - 79, 58*d + 63*d + 4*j = 117*d - 112 for d. 3 Solve 4*c + 18*x - 28*x - 30 = -11*x, -3*c + 19 = -x for c. 7 Solve 2*g = 4*a + 48, 19 + 59 = 605*a - 615*a + 2*g for a. -5 Solve 5*r - 41 = -2*g + 3, 4*r + 2*g + 972 = -g + 1003 for r. 10 Solve o = 81*q - 78*q - 13, 0*o - 22 = -2*o + 3*q - 33 for o. 2 Solve -26*j - 3*x = 993 - 1034, -57 = 3*j - 12*x for j. 1 Solve 47*f = -4*b - 4*f + 14*f - 172, 0 = -2*b + f - 8 for b. -6 Solve -29*z = 2*d - 23*z + 48, 15 = -4*d - 3*z for d. 3 Solve 217*w - 437*w + 217*w + y = 228, 3*w + 240 = -3*y for w. -77 Solve -9*u - 41 = 3*w - 5*u - 34, -7 = w - u for w. -5 Solve 0 = -2*s + s + 11, 0 = 3016*f - 3019*f - 3*s + 42 for f. 3 Solve -11*s + 163*n = 161*n - 1018, -3*s + 205 = -5*n - 86 for s. 92 Solve -2*u - 4*c + 86 - 188 = 0, -2*u - 46 = 3*c + 55 for u. -49 Solve -5*n + 3*y + 0*y + 9 = 0, 6*n + 18070*y - 18071*y - 29 = 0 for n. 6 Solve -4*v - 5*i + 14 = 0, 2*v + 126*i - 382 = v + 414*i - 100*i for v. 6 Solve 10*n + s = -2*s + 136, -n = -42*s + 45*s - 19 for n. 13 Solve -3*d - 99 = -21*l, 17*l - 40*l + 19*l - 53*d - 249 = 0 for l. 4 Solve 3*r + 670 = r + 7*r + 44*k, 0 = 5*k - 75 for r. 2 Solve 37 = 3*c + 5*x + 11, 37 = -5*x + 72 for c. -3 Solve 5*z = -18*g - 159, 783*z - 778*z + 5*g = -55 for z. -3 Solve 0 = -2*s - 2*q + 16, s + 129274*q - 129286*q = -96 for s. 0 Solve -b - 4 = -3*b - 3*v - 37, 143 = -13*b + 2*v - 7 for b. -12 Solve -5*i = 4*z + 35, i + 3*z = 4 - 19 - 3 for i. -3 Solve -5*t - m - 19 = -3*m, -1482*t - m = -1473*t + 2 for t. -1 Solve 25*b + 241 - 81 - 106 = 2*g, 4*b + 10 = g for g. 2 Solve 5*h = -6*z - 156, -1964*h + 32 = -1965*h - z for h. -36 Solve -14 = 2562*g - 2558*g + 3*t, 0 = 2*g + 4*t + 12 for g. -2 Solve 3*u + 6 = 0, 13900 = -5*d - 5*u + 13970 for d. 16 Solve -3*k = 132, -3*w + 4963 = 17*k - 57*k - 73*k for w. -3 Solve 2*o + 36 = 4*y, 9902*y - 9900*y + 12 = -2*o for y. 4 Solve -d + 436786*g + 59 = 436779*g, -5*d - g = 29 for d. -4 Solve 0 = -20*m, 4*w + 10*m + 9 = 7*w - m + 16*m for w. 3 Solve -4*m = k - 160, -2*k - 131 = 6980*m - 6983*m for m. 41 Solve 6*y - 29*t = y + 51*t + 3435, -4*t + 90 = 262 for y. -1 Solve s - 2*s + 4 - 3 = -2*s - i, 62*i + 83*i - 143 = -s for s. -2 Solve -k - 5 = 0, -4*w - 4*k + 337 = 401 for w. -11 Solve 0 = 2*q + 816488*j - 816491*j + 20, 0 = -4*q + 4*j - 32 for q. -4 Solve 3*l - 321 - 1646 = 89*c, 2*l + 2*c + 38 = 0 for l. 3 Solve 4*t - 125 = -5*r, 21*t - 4*r + 563 = 342 for t. -5 Solve 0 = -170*r + 171*r - f - 2, -r = -20*f - 116 for r. -4 Solve -3*o + 239 = 45*j + 1328, -4*j - 52 - 22 = 4*o + 34 for j. -24 Solve -m = -4*q + 33, -3848*q + 1283*q + 1286*q + 4*m + 20 = -1277*q for q. 8 Solve 3*k - 5*s - 6 = 3*k - 31, 4*k = 91*s - 90*s + 59 for k. 16 Solve 3*q - 44 = -3*o - 281, 0 = 24*q - 53 + 53 for o. -79 Solve 5213*n - 4*b = 5215*n + 32, 4*n + 12 = 5*b for n. -8 Solve -11*v + 17 = -3*z, 3*z - 60*v = -55*v - 9 - 20 for z. -13 Solve 0*l + m + 47 = l, -702*l = -699*l - 4*m - 146 for l. 42 Solve 392 = -2*t + 48*c, t + 0*t = 4*t - 0*c - 3*c + 36 for t. -4 Solve -3*m + 33000*x - 32995*x = 6, 4*m = -2*x + 44 for m. 8 Solve 4*f = -3*h - 20, 2*f + 6 = 17*h + 2*h + 78 for h. -4 Solve -90 = -8*o - 2*l, 3*l = -36*o + 18*o + 23*o - 69 for o. 12 Solve -7*u + 2*u + 372*p = 367*p - 330, -10*p - 670 = 0 for u. -1 Solve -3*z = -6*b + 51698 - 51725, 3*z - 2*b - 27 = 0 for z. 9 Solve 620*x = -5*g + 621*x + 49, g - 183*x - 741 = 0 for g. 9 Solve 1663*b - 20 = 1659*b, -4*i = 2*b - 98 for i. 22 Solve -2*r = -2*o - 9 + 199, 3*o + 84 = -5*r - 383 for o. 1 Solve -2*a + 41 = 3*l, 4*a + 943*l = 1887*l - 945*l - 3 for a. -5 Solve -8 = 4*n + 2646*r - 2650*r, -n + 5*r = -10 for n. -5 Solve 0 = 3*p - 2*n - 11, 28080*p - 19 = 28077*p + 4*n for p. 1 Solve -3*x = 2*z - 30, 4*x - 2*z = -2
{ "pile_set_name": "DM Mathematics" }
0 Find p, given that -4*p**4 - 132*p**3 - 1128*p**2 - 256*p + 6144 = 0. -16, -3, 2 Solve h**5/2 - 3871*h**4/2 - 38797*h**3/2 - 50513*h**2/2 + 116448*h - 69858 = 0. -6, 1, 3881 Find x such that 3*x**2 - 901155*x - 901158 = 0. -1, 300386 Solve -2*o**3/7 + 621*o**2/7 + 312*o/7 - 311/7 = 0. -1, 1/2, 311 Factor n**4/7 - 3943*n**3/7 - 11842*n**2/7 + 15784*n/7. n*(n - 3946)*(n - 1)*(n + 4)/7 Factor -2*y**2/11 + 270196*y - 100383082822. -2*(y - 743039)**2/11 Find y, given that 4*y**3 - 144108*y**2 - 144112*y = 0. -1, 0, 36028 Suppose -2*d**3/5 + 26212*d**2 - 2147221504*d/5 + 4293918784/5 = 0. What is d? 2, 32764 Factor o**3/4 - 407*o**2/4 + 1064*o + 2211125. (o - 266)**2*(o + 125)/4 Suppose -26*k**4/19 + 1438*k**3/19 + 5592*k**2/19 + 4280*k/19 - 1888/19 = 0. Calculate k. -2, 4/13, 59 Solve -78*g**2 + 227907*g + 26298 = 0. -3/26, 2922 What is d in -2*d**2/19 - 60248*d/19 - 453727688/19 = 0? -15062 Let 4*s**5/11 + 7442*s**4/11 - 86140*s**3/11 - 52370*s**2/11 + 86136*s/11 + 44928/11 = 0. What is s? -1872, -1, -1/2, 1, 12 Factor 3*z**4 + 84*z**3 + 654*z**2 + 1068*z + 495. 3*(z + 1)**2*(z + 11)*(z + 15) Determine u so that -u**2/2 + 173*u/2 + 7434 = 0. -63, 236 Find n, given that 516*n**5/5 + 3628*n**4/5 - 51488*n**3/5 + 144944*n**2/5 - 119296*n/5 - 768 = 0. -15, -4/129, 2, 4 Factor 5*f**5 + 5180*f**4 + 15510*f**3 + 15500*f**2 + 5165*f. 5*f*(f + 1)**3*(f + 1033) Find m such that 3*m**5 + 15*m**4 - 153*m**3 - 1023*m**2 - 1866*m - 1008 = 0. -7, -3, -2, -1, 8 Solve -2*a**2/3 + 671764*a/3 - 56408358962/3 = 0 for a. 167941 Find v such that v**3/3 - 158*v**2 + 24288*v - 1219680 = 0. 132, 210 Solve -2*g**3/3 - 7266*g**2/5 + 7574*g - 4370/3 = 0. -2185, 1/5, 5 Determine a, given that 15*a**5/7 + 1161*a**4/7 - 106473*a**3/7 - 150849*a**2/7 - 43230*a/7 = 0. -131, -1, -2/5, 0, 55 Determine x, given that -4*x**2/5 + 620*x - 80784/5 = 0. 27, 748 Factor 6*u**2 - 143*u - 1295. (u + 7)*(6*u - 185) Factor 10*c**3 + 38198*c**2 + 152768*c/5 + 30552/5. 2*(c + 3819)*(5*c + 2)**2/5 Solve 6*u**4/5 - 10538*u**3/5 + 4628812*u**2/5 - 1534744*u/5 - 3083536/5 = 0. -2/3, 1, 878 Factor -m**4 + 4536*m**3 - 18132*m**2 + 18128*m. -m*(m - 4532)*(m - 2)**2 Factor -3*a**4 + 84030*a**3 + 252108*a**2 + 252114*a + 84039. -3*(a - 28013)*(a + 1)**3 Let -3844*i**5 - 198152*i**4 - 1652992*i**3 - 4793472*i**2 - 4810752*i - 1548288 = 0. Calculate i. -42, -4, -24/31 Factor 3*a**3/5 - 38088*a**2 + 380871*a/5 - 190434/5. 3*(a - 63478)*(a - 1)**2/5 Find j, given that j**5/5 - 38*j**4/5 - 39*j**3 + 2488*j**2 + 25424*j/5 - 37632/5 = 0. -16, -3, 1, 28 Determine v so that -3*v**5/4 - 109*v**4/8 + 1931*v**3/8 + 109*v**2/8 - 1925*v/8 = 0. -175/6, -1, 0, 1, 11 Determine u so that 3*u**2 + 204714*u + 3492318483 = 0. -34119 Suppose -3*b**2 - 1023567*b - 2047122 = 0. What is b? -341187, -2 Suppose -3*q**4/8 - 105*q**3/8 + 1383*q**2/4 - 636*q = 0. What is q? -53, 0, 2, 16 Determine m, given that -2*m**4 + 12*m**3 + 1008*m**2 + 3572*m - 4590 = 0. -17, -5, 1, 27 Solve -d**3/4 + 887*d**2/2 - 886*d = 0 for d. 0, 2, 1772 Find a such that 300*a**5 - 2692*a**4/3 - 1508*a**3 + 2660*a**2/3 + 1208*a + 32/3 = 0. -1, -2/225, 1, 4 Suppose 5*f**5 - 115*f**4 - 905*f**3 + 24115*f**2 + 43800*f - 1228500 = 0. Calculate f. -10, 9, 13, 21 Solve -2*f**2/7 + 31702*f/7 - 31700/7 = 0. 1, 15850 Factor -s**2 - 1512*s - 7535. -(s + 5)*(s + 1507) Find g, given that -g**5/3 + 1795*g**4/3 + 7190*g**3/3 + 10790*g**2/3 + 7195*g/3 + 1799/3 = 0. -1, 1799 Let o**3 - 22*o**2 - 56*o + 192 = 0. What is o? -4, 2, 24 Suppose -4*a**3 - 208*a**2 - 2980*a - 10200 = 0. Calculate a. -30, -17, -5 What is z in 2*z**2 + 4353352*z + 2368959204488 = 0? -1088338 Find d such that 2*d**3/7 - 194*d**2/7 - 4498*d/7 - 3042 = 0. -13, -7, 117 Determine k, given that -2*k**5/5 + 4*k**4 - 26*k**3/5 - 56*k**2 + 928*k/5 - 128 = 0. -4, 1, 4, 5 Suppose -2*z**3/13 + 30326*z**2/13 + 182010*z/13 + 273042/13 = 0. What is z? -3, 15169 Factor 3*h**2 + 74607*h + 223794. 3*(h + 3)*(h + 24866) Find f such that 2*f**4/9 + 160*f**3 + 15992*f**2 + 383040*f - 2908800 = 0. -606, -60, 6 Determine z, given that 2*z**2/7 - 1966896*z/7 + 483584984352/7 = 0. 491724 Factor 27*x**2 + 13200*x - 14700. 3*(x + 490)*(9*x - 10) Find z, given that -2*z**2 + 5270*z - 47268 = 0. 9, 2626 Let 4*h**4 + 8*h**3 - 916*h**2 + 2728*h + 16320 = 0. What is h? -17, -3, 8, 10 Determine i, given that -6*i**4 + 4*i**3 + 128*i**2 - 228*i - 90 = 0. -5, -1/3, 3 Determine a so that 5*a**5 + 10015*a**4 + 248250*a**3 + 1980500*a**2 + 4945000*a = 0. -1978, -10, -5, 0 Suppose 9*i**5 + 777*i**4 + 8460*i**3 + 17988*i**2 - 15984*i = 0. Calculate i. -74, -9, -4, 0, 2/3 Factor -2*c**4 + 1540*c**3 - 16698*c**2. -2*c**2*(c - 759)*(c - 11) Factor -4*x**3/7 - 188*x**2/7 - 1536*x/7 + 1728/7. -4*(x - 1)*(x + 12)*(x + 36)/7 Suppose -o**4/5 - 1886*o**3/5 - 9413*o**2/5 - 15052*o/5 - 7524/5 = 0. What is o? -1881, -2, -1 Find j such that j**4 - 17*j**3 - 337*j**2 - 319*j = 0. -11, -1, 0, 29 Solve 2*p**5/23 + 14*p**4/23 - 54*p**3/23 - 478*p**2/23 - 748*p/23 - 336/23 = 0. -7, -4, -1, 6 Suppose 3*p**4 + 4563*p**3 - 4566*p**2 = 0. Calculate p. -1522, 0, 1 Suppose -36*b**5 - 3984*b**4 - 17284*b**3 + 55112*b**2 - 45680*b + 11872 = 0. Calculate b. -106, -7, 2/3, 1 Let -6*s**5 + 196*s**4 + 28710*s**3 + 545588*s**2 + 686280*s + 169200 = 0. Calculate s. -30, -1, -1/3, 94 Solve -3*t**3/5 - 21888*t**2/5 - 26247*t - 21870 = 0. -7290, -5, -1 Factor -u**3/3 + 31*u**2/6 + 256*u/3 + 442/3. -(u - 26)*(u + 2)*(2*u + 17)/6 Suppose -4*z**3 - 13164*z**2 - 248744*z - 235584 = 0. What is z? -3272, -18, -1 Let -2*x**4 + 114*x**3 - 2016*x**2 + 10368*x = 0. Calculate x. 0, 9, 24 Solve -t**5/5 + 11*t**4/5 + 2*t**3/5 - 278*t**2/5 + 511*t/5 - 49 = 0. -5, 1, 7 Solve v**5/5 + 107*v**4/5 - 381*v**3 + 1553*v**2 + 1904*v/5 - 7872/5 = 0. -123, -1, 1, 8 Factor -h**3/4 + 18537*h**2/4 + h/4 - 18537/4. -(h - 18537)*(h - 1)*(h + 1)/4 Factor -j**3/2 - 27835*j**2/2 + 13918*j. -j*(j - 1)*(j + 27836)/2 Suppose -2*d**3 + 44*d**2 - 30*d - 252 = 0. Calculate d. -2, 3, 21 Find m, given that 22*m**3 - 758*m**2 + 5080*m + 3000 = 0. -6/11, 10, 25 Find q such that 2*q**4/5 - 106*q**3/5 + 1254*q**2/5 + 13482*q/5 - 243432/5 = 0. -12, 21, 23 Find y, given that -4*y**2 + 89704*y + 89708 = 0. -1, 22427 Factor 3*h**2/8 - 5193*h/4. 3*h*(h - 3462)/8 Suppose -3*f**2/7 - 1601556*f - 1496239278996 = 0. Calculate f. -1868482 Factor 2*m**3/3 + 280*m**2/3 + 4558*m/3 - 4840/3. 2*(m - 1)*(m + 20)*(m + 121)/3 Factor -n**2/2 - 5185*n/2 + 5187. -(n - 2)*(n + 5187)/2 Determine n, given that -5*n**4/3 - 1081*n**3/3 + 653*n**2 - 655*n/3 - 218/3 = 0. -218, -1/5, 1 Find u such that 5*u**5 + 445*u**4 + 11635*u**3 + 94055*u**2 - 11640*u - 94500 = 0. -50, -21, -18, -1, 1 Factor -3*h**3 - 2556*h**2 - 27783*h - 25230. -3*(h + 1)*(h + 10)*(h + 841) Determine f so that 30*f**2 - 10101*f - 3033 = 0. -3/10, 337 Find w such that -w**2/3 - 291*w + 874/3 = 0. -874, 1 Factor 2*m**3/9 + 130*m**2/9 + 442*m/3 - 578. 2*(m - 3)*(m + 17)*(m + 51)/9 Let -2*x**4 - 3754*x**3 - 26164*x**2 + 29920*x = 0. What is x? -1870, -8, 0, 1 Let -l**3/6 - 843*l**2 - 2125187*l/2 + 25664356/3 = 0. Calculate l. -2533, 8 Determine i, given that 4*i**3 - 316*i**2 + 800*i + 8512 = 0. -4, 7, 76 Factor -5*z**5 + 610*z**4 + 5080*z**3 + 15440*z**2 + 20720*z + 10400. -5*(z - 130)*(z + 2)**4 Find g such that -2*g**4/5 + 42*g**3 + 11082*g**2/5 + 21526*g/5 + 10656/5 = 0. -37, -1, 144 Factor v**3/5 + 762*v**2/5 - 5355*v + 230044/5. (v - 17)**2*(v + 796)/5 Factor -3*s**2 - 28782*s - 69033627. -3*(s + 4797)**2 Determine p, given that p**2/5 - 738*p/5 + 136161/5 = 0. 369 Factor 3*s**2/5 - 170838*s. 3*s*(s - 284730)/5 Factor r**2/3 + 5054*r/3 + 10096. (r + 6)*(r + 5048)/3 What is b in 5*b**3 - 820*b**2 + 815*b = 0? 0, 1, 163 What is l in l**5 + 1257*l**4 - 2519*l**3 - 1257*l**2 + 2518*l = 0? -1259, -1, 0, 1, 2 Factor 5*t**3 - 5835*t**2 + 1633275*t + 40712875. 5*(t - 595)**2*(t + 23) Find g, given that 4*g**4/5 + 1198*g**3/5 + 1788*g**2/5 - 2*g/5 - 596/5 = 0. -298, -1, 1/2 Determine c, given that -14*c**4/11 - 62408*c**3/11 + 17846*c**2/11 + 62408*c/11 - 17832/11 = 0. -4458, -1, 2/7, 1 Factor -3*w**2 - 4134*w. -3*w*(w + 1378) Factor -a**3 + 36*a**2 - 35*a. -a*(a - 35)*(a - 1) Factor -4*p**3 - 752*p**2 - 5760*p. -4*p*(p + 8)*(p + 180) Suppose t**3 - 23*t**2 - 1689*t + 5
{ "pile_set_name": "DM Mathematics" }
2*x + 0*x**4 - 68*x**2 + 68*x**2 wrt x? -48*x**2 What is the first derivative of -20*f + 26 + 5 - 42*f wrt f? -62 What is the second derivative of -16*y - 5*y**2 + y**2 - 9*y**2 - 2*y**2 wrt y? -30 Let o(v) be the third derivative of -v**7/105 - v**3 + v**2. Find the first derivative of o(j) wrt j. -8*j**3 What is the second derivative of -17*g**3 + 11*g - 4*g + 19*g**3 wrt g? 12*g Let r(j) be the third derivative of j**6/60 - j**4/24 + 2*j**2. What is the second derivative of r(q) wrt q? 12*q Let d(x) be the third derivative of -4*x**5/15 - x**4/4 + 13*x**2. Find the second derivative of d(s) wrt s. -32 Let i be 9/12*(2 + 2). What is the first derivative of -6*d**2 + 6*d**2 + i + 3*d**4 wrt d? 12*d**3 What is the second derivative of -12*f + 0*f + 71*f**4 - 63*f**4 wrt f? 96*f**2 Let o(s) = -3*s + 5. Let i be o(4). Let r = -2 - i. Find the second derivative of 5*w**5 - w - w**r - 2*w**5 wrt w. 40*w**3 Let m(x) be the second derivative of -2*x**3/3 + x**2/2 - 4*x. Differentiate m(f) wrt f. -4 What is the second derivative of 4*x**4 + 6*x**4 + 5*x - 2*x**4 wrt x? 96*x**2 Let p(u) be the first derivative of u + 1 + 1/2*u**2. What is the derivative of p(d) wrt d? 1 Let g(b) = 31*b**3 + 9*b**2 + 10*b - 6. Let j(t) = 32*t**3 + 8*t**2 + 9*t - 5. Let o(r) = -5*g(r) + 6*j(r). What is the third derivative of o(w) wrt w? 222 Suppose -2*a - 15 = -7*a - p, 2*p - 20 = -5*a. Let c(b) be the second derivative of 0 - 1/2*b**a + 1/3*b**3 - b. What is the derivative of c(d) wrt d? 2 Suppose v + 1 = -s + 7, 2*v + s - 17 = 0. What is the derivative of -6 + 5*a - 5*a + v + 4*a**4 wrt a? 16*a**3 Let n(x) be the third derivative of -1/210*x**7 + 0*x**6 - 1/30*x**5 - 2*x**2 + 0 + 0*x + 0*x**3 + 0*x**4. What is the third derivative of n(r) wrt r? -24*r Let f(d) be the first derivative of 5*d**4/4 - 5*d**3 + 4. What is the third derivative of f(u) wrt u? 30 Let q(b) = b - 7. Let n be q(7). Find the second derivative of 3*j**2 + n*j**2 + 0*j - j**2 - 4*j wrt j. 4 Let r(g) = -22*g**2 - 41*g. Let u(j) = -45*j**2 - 81*j. Let t(i) = -5*r(i) + 3*u(i). What is the second derivative of t(v) wrt v? -50 Let o be (-4)/(-10) - (-34)/(-10). Let q = o + 7. Find the first derivative of 1 - 4 - m**4 - 2*m**q wrt m. -12*m**3 Let l(w) = -2*w - 6. Let f be l(-5). What is the second derivative of -222 + 222 + f*y**5 - 7*y wrt y? 80*y**3 What is the derivative of -3 + 13 + 30 - 3*t**4 - 3*t**4 wrt t? -24*t**3 Let b be -2 - (-4)/(8/10). Find the first derivative of b*n - 3*n**4 - 3 - 3*n + 0*n wrt n. -12*n**3 What is the third derivative of -5*p**4 + p**4 + 4*p**2 - 6*p**5 + 4*p**4 wrt p? -360*p**2 Differentiate 2 + 202*c - 193*c - 3 wrt c. 9 Let c(t) be the third derivative of -t**7/21 - t**5/12 + 3*t**2. What is the third derivative of c(v) wrt v? -240*v Let y(g) = g**3 + 4*g**2 + 2*g - 2. Let q be y(-2). What is the second derivative of 0*j**5 - 3*j**5 + 0*j + q*j wrt j? -60*j**3 Let y(n) be the third derivative of 7/6*n**3 - 1/12*n**4 - 4*n**2 + 0*n + 0. Differentiate y(z) with respect to z. -2 Let t(i) be the first derivative of 5*i**4/24 - i**3/3 - 3*i**2/2 + 3. Let l(r) be the second derivative of t(r). Differentiate l(x) wrt x. 5 Let k(w) be the third derivative of -w**6/12 + 7*w**4/24 - w**2. What is the second derivative of k(s) wrt s? -60*s Suppose -g + 3*p = -5*g + 25, -5*g = -4*p - 8. Suppose 2*f + 22 = g*o, 8 = -2*o + 5*f + 31. Differentiate -6*y**4 + 7*y**o + 1 - 6 + 2 with respect to y. 4*y**3 Let j(a) = -a**3 + a**2 + 10. Let d be j(0). Suppose 3*b - 4 = -4*f, 4*b + f = b + d. What is the second derivative of 2*z + 3*z**4 - 2*z**b + z**4 wrt z? 24*z**2 Let t(h) = 6*h - 1. Let y(l) = l + 1. Let o(u) = -t(u) + y(u). Differentiate o(k) with respect to k. -5 Let f(i) be the first derivative of i**8/420 + i**4/6 + i**3/3 + 1. Let s(b) be the third derivative of f(b). What is the first derivative of s(m) wrt m? 16*m**3 Let n(j) be the third derivative of j**6/15 + 5*j**4/24 - 2*j**2. What is the second derivative of n(i) wrt i? 48*i Let s(y) be the second derivative of -1/12*y**4 + 0*y**3 + 0 + 3*y + 0*y**2 + 3/20*y**5. Find the third derivative of s(v) wrt v. 18 Differentiate 319*a**2 - 319*a**2 + 3 - 6*a**4 wrt a. -24*a**3 Let d be 7/(-14) - (-7)/2. Differentiate 2*x - 2*x + x - d wrt x. 1 What is the second derivative of 21*f + 257*f**4 - 257*f**4 - 25*f**5 wrt f? -500*f**3 Let t(d) be the first derivative of 0*d**3 - d**2 - 1 + 0*d + 1/2*d**4. What is the second derivative of t(x) wrt x? 12*x Let x be (-2)/(-7) + (-2)/7. Find the third derivative of j**2 + 0*j**2 + x*j**2 - 6*j**3 - 7*j**2 wrt j. -36 Let n(m) = -5*m**2 - 4. Suppose -14 + 4 = 2*u. Let y(v) = -9*v**2 - 8. Let t(c) = u*n(c) + 3*y(c). Differentiate t(s) with respect to s. -4*s Let a be 20/(-24)*9/(-5). Let q(s) be the first derivative of 2*s + a*s**2 - 1. What is the derivative of q(g) wrt g? 3 Find the second derivative of 23*v + 23*v**4 - 26 + 26 + v**3 wrt v. 276*v**2 + 6*v Let a be ((-2)/(-6))/(3/45). Let h = 5 - a. What is the third derivative of -3*q**3 + h + 0 + q**2 wrt q? -18 Let u(m) = -2*m**3 - 1. Let g be u(-1). Suppose -16 + g = -5*o. What is the second derivative of -8*j**2 + 2*j + 8*j**2 - j**o wrt j? -6*j Let w = 3 - -49. What is the second derivative of -4*x**5 - 2*x**5 + w*x - 48*x wrt x? -120*x**3 Let g = 13 + -8. Suppose 2*n = 3*u - 10, g*u - n - 14 = n. Find the third derivative of -s**6 - 2*s**2 + 0*s**u + s**2 wrt s. -120*s**3 Let d(z) = -z**2 + z + 1. Let l(r) be the first derivative of -2*r**3 + 2*r**2 + 3*r - 3. Let v(a) = -3*d(a) + l(a). Find the second derivative of v(p) wrt p. -6 Let i(v) = -1. Suppose 6 = 2*u - 5*u. Let d(l) = 3*l**2 - 2*l - 2. Let q(b) = u*i(b) + d(b). What is the second derivative of q(o) wrt o? 6 Let m(f) be the third derivative of -5*f**4/6 + 3*f**3 + 20*f**2 + 2. Differentiate m(n) with respect to n. -20 Let h(a) be the second derivative of a**11/18480 + a**7/2520 - a**4/2 - 3*a. Let n(l) be the third derivative of h(l). Find the third derivative of n(i) wrt i. 360*i**3 Let a(b) be the first derivative of -b**5 - 5*b - 10. Differentiate a(l) wrt l. -20*l**3 Let f(b) be the first derivative of 1 + 0*b**2 + 0*b - 3/4*b**4 - 4/3*b**3. Find the third derivative of f(x) wrt x. -18 Suppose 3*a = 4 + 5. Suppose -3*w - 2*w = -10. What is the second derivative of -w*o**3 + 2*o**a + o + o**3 wrt o? 6*o Suppose -3*d + 2 = -4. Let q(k) be the first derivative of -k**d + 2*k - 1 + 0*k + 0*k. What is the derivative of q(o) wrt o? -2 Differentiate 6 + 7*k**4 + 10*k**4 - 21*k**4 with respect to k. -16*k**3 Let f(c) be the first derivative of 5*c**6/6 + 5*c**3/3 - 1. What is the third derivative of f(y) wrt y? 300*y**2 Let s(u) be the second derivative of -2/15*u**6 - 2*u + 0 + 0*u**4 + 0*u**5 + 2*u**2 + 0*u**3. What is the first derivative of s(q) wrt q? -16*q**3 Let n(f) = 3*f**2 + 19. Let z(l) = 4*l**2 + 29. Let i(j) = -8*n(j) + 5*z(j). What is the first derivative of i(u) wrt u? -8*u Let a(j) be the first derivative of -4*j**5/5 - 7*j**2 - 13. What is the second derivative of a(o) wrt o? -48*o**2 Let n(p) be the second derivative of p**5/20 + 11*p**4/4 - 22*p. Find the third derivative of n(m) wrt m. 6 Let c(h) be the second derivative of -4/21*h**7 - h**3 + 0*h**2 + 0*h**6 + 0 + 0*h**4 - 8*h + 0*h**5. Find the second derivative of c(j) wrt j. -160*j**3 What is the second derivative of -2*r - 6*r**2 - 6*r**2 - 5*r wrt r? -24 Let g(n) be the first derivative of 2*n**2 + 0*n + 2/3*n**3 + 3. Find the second derivative of g(v) wrt v. 4 Let h(r) = -33*r**2 - 41*r. Let a(b) = 98*b**2 + 123*b. Let i(f) = -6*a(f) - 17*h(f). Find the second derivative of i(s) wrt s. -54 Let l(j) be the third derivative of j**7/42 + j**4/6 - 2*j**2. What is the second derivative of l(i) wrt i? 60*i**2 Let h(o) be the third derivative of -5*o**4/12 + o**3/2 + 6*o**2. What is the derivative of h(u) wrt u? -10 Let h(q) be the first derivative of -4*q**3/3 + 3*q - 2. Differentiate h(w) wrt w. -8*w Let m(v) be the third derivative of 2*v**9/63 - 53*v**5/60 - 2*v**2 + 25*v. What is the third derivative of m(f) wrt f? 1920*f**3 Let c(m) = -6*m**3 + 9*m + 7. Let x(y) = -3*y**3 + 4*y + 3. Suppose 4 = 2*g + 2*g. Let u be (-6)/(g*2/3). Let h(j) = u*x(j) + 4*c(j). Differentiate h(l) wrt l. 9*l**2 Find the s
{ "pile_set_name": "DM Mathematics" }
ler: 0 or w? w Let y(d) be the first derivative of d**4/2 - d**3/3 + d**2/2 - d + 2. Suppose 5*b - x - 6 = 0, 3*x + x = -4. Let o be y(b). Are o and -1/5 nonequal? True Let o = -365731/483483 - -1/24794. Let s = -12/13 - o. Is 1 smaller than s? False Let w be ((-3)/(-9))/(4/(-36)). Do -3 and w have different values? False Suppose -4*q + 4*r - 18 = 2, -4*r + 4 = -2*q. Is -8 <= q? True Let o(z) = 2*z**2 - 5*z + 4. Let x be o(3). Suppose 16 = v + 5*r, -v + 2 - x = -2*r. Let t = -244/21 - -34/3. Which is smaller: t or v? t Suppose -b + 4*b - 42 = 0. Suppose 0 = 4*o - 9*o + m - b, 0 = 2*o - 5*m + 24. Are o and -3 equal? False Let c(g) = -3*g + 8. Let j be c(2). Suppose 0 = 4*u - 2*r - 8, -5*r - 3 = 7. Is j at most as big as u? False Let h = 4 - 7. Suppose 2*k + 4 - 2 = 0. Is k >= h? True Let o = -30 + 17. Which is smaller: -12 or o? o Let y = 2 + -3. Let w be 0*-1*(-2)/(-2). Suppose 0 = -w*p + 2*p. Are y and p nonequal? True Suppose -2*s = 3*s - 85. Let l = -18 + s. Which is smaller: -3 or l? -3 Let w = -7 - -3. Let a = w - -1. Are -1 and a nonequal? True Let w(t) = t**2 + 10*t + 13. Let g be w(-9). Suppose 0 = 2*d - 2*s + 6, 3*d - g*s - 2 = -6. Let a be (-4)/d*(-1 + 1). Which is bigger: a or 1/2? 1/2 Let c(b) = -b. Let x be c(3). Let j be 6/9 - 21/9. Which is smaller: j or x? x Let l be (-3)/12 + 1/4. Suppose 2*v - 2 = 3*p + 11, -2*p = -v + 8. Suppose -i + 4*w = 8*w + 21, 0 = -v*i + 5*w + 23. Which is smaller: i or l? i Suppose -37 + 103 = -3*g. Let d = g + 112/5. Which is bigger: 0 or d? d Suppose 3 = 5*a + 8. Which is smaller: a or 1/54? a Let l(p) = -p**2 + 3*p. Let j be l(2). Let d be (-3)/(-5)*(3 - -2). Is d less than j? False Let b(m) = -m**3 + 2*m**2 + 2*m + 1. Let v be b(-2). Which is smaller: 12 or v? 12 Let l(x) be the third derivative of -x**4/24 - 4*x**3/3 + x**2. Let p be l(-7). Is -1 > p? False Suppose 0 = -0*i + 3*i - 18. Let l be (i/16)/((-6)/4). Suppose -5*q - 2*d + 2 = 0, -2*d = 3*q - 0*d + 2. Is l smaller than q? True Let k be (-6)/((-10)/2 - -3). Suppose -5*f + k*f = -20. Let n be (-21)/8 + (13 - f). Are 1 and n unequal? True Let g(c) = c + 17. Let k be g(-8). Let o = k - 15. Is -6 > o? False Suppose -2*w - 3*i = -8, -5*i + 0*i = -10. Let r = 14 - 8. Let q = 8 - r. Is q at most w? False Suppose -2*d + 3*d = -28. Is -57/2 > d? False Suppose -2*d + 6 = 0, -4*n + 2*n - d + 7 = 0. Let m be (-1 + 1)/n - 8. Let i be (-2)/m*(-8)/14. Which is smaller: 0 or i? i Let d(h) = h - 4. Let c be d(5). Which is greater: 10/7 or c? 10/7 Suppose 27*h = 29*h. Is 3/16 at least as big as h? True Suppose -3*l + 25 = 2*l. Let v(z) = z + 6 + 8 - l. Let o be v(-7). Which is smaller: 1/2 or o? 1/2 Let m = -4 - -4.6. Let u = -0.4 + m. Let y = -3 - -4. Which is bigger: u or y? y Let y be 1106/(-56) + 2/(-8). Let s be -5*(1 - (-36)/y). Which is smaller: 1/3 or s? 1/3 Suppose 1 + 1 = b. Let h = -16 - -22. Suppose -5*n + 3*v = -1, -h*n + v + 5 = -2*n. Is b > n? False Let q(u) = 10*u**2 + 3*u + 3. Suppose 0 = h - 3*h - 6. Let k be q(h). Let y = -171/2 + k. Is y <= -3? False Let h = -72 + 212/3. Is h greater than -1? False Let i = 1.6 - 1.1. Let o = 0.1 - i. Is 0.1 <= o? False Let b = -1 - 0. Are b and -2/81 non-equal? True Let x(a) = a**2 - 6*a - 3. Let s be x(5). Let g be ((-2)/10)/(s/(-20)). Let v = 5 - 5. Does v = g? False Let f = 0 + 0.1. Let u = -70 - -73. Is f at least u? False Let v be 6/15 - (-180)/(-475). Is v at least as big as 0.2? False Let g = -52 + 51. Which is smaller: 0 or g? g Let i(m) = -m**2 - 6*m + 6. Let d be i(-7). Let j = 3 + d. Suppose -3*v - 30 = -2*r, -5*v + j*r - 52 = -2*r. Are v and -8 non-equal? False Let t be 2 + (-1)/((-8)/(-15)). Let p = -11 + 15. Let a = 5 - p. Does a = t? False Let y(x) = -x**2 + x - 4. Suppose -2 - 4 = 5*d + 2*z, -4*d + 5*z + 15 = 0. Let l be y(d). Let g be (l/(-12))/((-1)/2). Is 0.1 at least g? True Let y = 21 + -20.6. Let k = -2.4 + y. Does k = 2/7? False Let l = -1.6 + -2.4. Is l less than 0.2? True Let i = -1 - -11. Suppose k = -k + i. Suppose 2*j + 0*g - 14 = -2*g, 4*j + 17 = k*g. Is j at least 0.1? True Let a(x) = x**3 - 7*x**2 + 5*x + 4. Let l be a(6). Is -0.01 greater than l? True Let i be ((-21)/35)/(4/10). Is i < 2? True Suppose -24 = l - 13. Which is greater: -16 or l? l Suppose 1 = -3*g + 4. Suppose z = 3*q + q, 4*q = 0. Is g >= z? True Let m = 0.8 - 1. Suppose 5*c - w - 17 = -0*c, 5*w + 22 = 4*c. Suppose c*d = d. Is m not equal to d? True Let w be ((-3)/(-2))/(2/4). Suppose 0 = -2*l - 2*z + 6, 4*l - 4*z = -5*z + 3. Let u(c) = c + 2. Let n be u(l). Is n at least as big as w? False Let x = 3 - 4. Which is smaller: x or -4/9? x Let a = -5/13 - 55/26. Which is smaller: a or -3? -3 Let i = -66 + 70. Which is greater: i or 6? 6 Suppose -2*r + 4*a - 162 = 2*a, -r = 5*a + 99. Let b be (27/r)/(3/(-2)). Is 0 >= b? False Let s be -9 + 12 + (0 - 1). Let j(g) = -g**2 - 6*g - 3. Let b be j(-4). Suppose -3*u - s*u = -b. Which is bigger: 3/5 or u? u Let g = 20 - 20. Let s = 3 - 2. Which is smaller: g or s? g Suppose -h - h = 2880. Let q = h - -7239/5. Let z = q - 8. Is z less than 1? True Let n = -4.6 + 5. Let h = n - -2.6. Let y = h - 2.7. Is 0 > y? False Suppose -8 = -p - p. Suppose 3*n = p - 1. Let t be (-12)/(-4)*n/(-3). Which is smaller: 1 or t? t Let j be 2/(2 - (3 - 3)). Let k(a) = -3*a**2 - 1 + a + 0*a + 0*a**2. Let o be k(j). Which is smaller: o or -1? o Let q(f) = f**3 + 12*f**2 + 8*f - 7. Let o be q(-11). Let p be (-12)/(-16) - o/56. Suppose -5*c + s - 1 = -s, -6 = 4*c + s. Is c smaller than p? True Let p(s) = -6*s - 3. Let k = -2 - -5. Let l be p(k). Let y be 3/(-6) + l/(-6). Is y > 1? True Let q = -168/23 - -2777/207. Let r = -6 + q. Let p = -76 + 75. Which is smaller: r or p? p Suppose 0 = 2*h + 4 + 2. Let m be (2/h)/(2/6). Let u = -3 - m. Is -1/4 < u? False Let l = -4 - -9. Suppose n = -0*n - d - 1, -3*n = 4*d + 2. Let a be n/(-4)*10/l. Which is bigger: -1 or a? a Let c(j) = 9*j - 8. Let g be c(1). Do -3/44 and g have the same value? False Suppose 6*v = -3*v - 9. Is 2/117 less than v? False Let g = -10 + 11. Let x be 3*g - (2 + -1). Which is smaller: 1 or x? 1 Let s = -3 - -3.7. Let z = -0.1 - s. Let o = 0.9 + z. Are o and -3 nonequal? True Let x be (3*(-4)/8)/(1/2). Let c = -2 - 1. Is c bigger than x? False Let a = 1851/17 - 109. Which is smaller: a or 0? a Suppose -4 = -3*n - 34. Is -14 < n? True Let k = -0.12 + 0.08. Let u = k - -0.14. Which is smaller: 1 or u? u Let t = -0.016 - -0.116. Is t less than -9/8? False Let p = 327 - 6216/19. Are p and 0 unequal? True Let y = 0.11 + -0.01. Let x = y - 0.5. Do x and -2/5 have the same value? True Suppose 4*m + 12 = 7*z - 2*z, z - 6 = -m. Let i = 2 - m. Let v = -703/5 - -141. Which is smaller: i or v? i Let b(j) = -j**3 + 7*j**2 - 5*j + 2. Let h = 0 - -6. Let c be b(h). Suppose 0 = -2*s + 6*s - c. Which is smaller: 2/3 or s? 2/3 Suppose -f - w + 4 = 0, -3*w = 2*f + w - 10. Suppose 2*j - 13 = -2*v + 5, -4*v - 4 = -4*j. Suppose -6*n = -4*g - n - 2, -j*g - 3*n = -16. Is g greater than f? False Let b(z) = -z**3 + 11*z**2 - z + 6. Let r be b(11). Let n be -13 + 0 + r + 2. Which is smaller: -17 or n? -17 Let d = -10 - -12. Let t be 0/(d - 2/2). Let h = -58/3 - -19. Which is smaller: t or h? h Let b = 6 + -3. Which is smaller: 2 or b? 2 Let n(c) = c**3 - 13*c**2 + 10*c - 8. Let i be n(12). Let u = 34 + i. Let h = 0.3 - 0.1. Which is greater: u or h? u Let f = 10.02 - 10. Is f < -0.1? False Suppose -4*j + 7 = -25. Suppose 7*t = 3*t - 5*v - 11, -5*t + v + j = 0. Is -1/15 at most t? True Let p(v) = -v + 6. Let g be p(6). Let c be (-2 + 2)/(2 - g). Is -4/7 at least as big as c? False Let p = 2 + -6. Let s be 4 + p + 6/75. Which is greater: s or 1? 1 Suppose 0*t + 6 = 2*t. Suppose 0 = t*d - 2 - 4. Suppose 0 = d*q - 0 + 4, 0 = 4*k + 2*q + 12. Which is greater: -1 or k? -1 Let r = -5 + -30. Let g = -24 - r. Are g and 9 non-equal? True Suppose -18*s = -12*s + 36. Is s less than or equal to 2? True Let f = -0.2 + 2. Let p = f + -2. Let g = p + 0.2. Is g < -2? False Let u = -4/195 - 1922/1365. Which is smaller: 0 or u? u Suppose 2*r = -3*y - 6, 5*y = -0*y - 5*r - 10. Let l(c) = -c**3 + 6*c + 3. Let p be l(y). Is p > 0.1? False Let d be ((-8)/18)/((-10)/(-915)). Let q = 40 + d. Do -2 and q have different values? True Let h be (-2 - (-1 - 0))*-3. Suppose h*m - 3*f =
{ "pile_set_name": "DM Mathematics" }
**3 assuming y is positive. y**(928/7) Simplify ((u*u*((u/(u/(u**(5/6)*u)))/u)/u*u*(u*u*u**(-27))/u)/(u/(u/u**(-13))*u**(-19)))**(-38) assuming u is positive. u**(-1007/3) Simplify ((j**(-1/11)*j**(2/3))/(j**(1/7)/(j/((j/(j/(j*j**(-5/6))))/j))))**(-19/3) assuming j is positive. j**(-6631/462) Simplify ((c**(-1)/(c/c**11)*c**(1/5)/c**(1/4))**(-12))**5 assuming c is positive. c**(-537) Simplify ((d*(d/(d/(d*d**(-1/4)*d)))/d)/d**(-4))**(-36)*((d**(-2/7))**44)**(-15) assuming d is positive. d**(-129/7) Simplify (s**(5/4)/s**5)**(-4/5)*((s/((s*s/(s*s/(s**(5/3)/s*s)))/s))/s**(-7))**(4/17) assuming s is positive. s**(241/51) Simplify ((a**(-2/7))**38/(a**(-1))**(7/2))/((a*a**(-1/8))/a**(-1))**(-11/3) assuming a is positive. a**(-27/56) Simplify (h*h*(h*h**30)/h*h**0*h*(h*h**4)**(2/181))**(-1/18) assuming h is positive. h**(-5983/3258) Simplify w*w**(-2/17)*w**(2/11)*w*w*w**(1/6)*w**(-1/5)*(w/((w**(-1/10)*w)/w)*w**(-2/5))/(w**(-2/5))**(-1/9) assuming w is positive. w**(31021/8415) Simplify (((j*j**1)/(j/(j**(-2/11)/j)))/(((j/j**(-9/7))/j)/(j*j**11*j)))**(-3/17) assuming j is positive. j**(-2664/1309) Simplify ((t*t*t/t**(-4/9))**(2/25)/(t/(t**1/t))**(2/31))**37 assuming t is positive. t**(54464/6975) Simplify (g*g/g**(1/7)*g*g)/g**(-2/5)*(g/(((g**(2/5)/g)/g)/g))**(-37)*(g*g**(1/2)/g*g)**(-9)*(g**(-1/4))**(-9) assuming g is positive. g**(-19627/140) Simplify ((w*w*w**5/w)/w*w/(w**(-6)/w))**(2/7)*(w/(w*w**(-1/2)*w*w*w))**41/((w/((w**(-2/17)*w)/w)*w)/((w*w**(-3))/w)) assuming w is positive. w**(-24729/238) Simplify ((t*t**(-2/11))/t)**(-1/8)*t**(1/16)*t**(2/7) assuming t is positive. t**(457/1232) Simplify (((m**(12/11)/(m*(m**3*m)/m))**(-27/2))**(36/11))**(-1/28) assuming m is positive. m**(-3888/847) Simplify ((k**2/k)/((k/k**(-2/15))/k))**(7/6)/((((k**(-1/2)/k)/k)/k*k/((k*k*k*k**(-3/7))/k))/(k*k*k/((k/(k**0*k))/k)*k)**(7/3)) assuming k is positive. k**(5276/315) Simplify ((a**(3/10)/a*a**14)/(a**(-2))**(-2/127))**(23/2) assuming a is positive. a**(387573/2540) Simplify (g**23/g*g**(-34)/g)/((g*g**(4/5))/((g**17/g)/g)) assuming g is positive. g**(1/5) Simplify (f/(f*f**(-1/7)/f))/(f*(f*f*f**(1/11)/f*f*f)/f)*(f**(-1))**(-3/19)*(((f/(f/f**0))/f)**31)**(-34) assuming f is positive. f**(1539383/1463) Simplify y**(-1/20)*(y/((y/y**13)/y))/y*((y/(y/y**(-41)))/y)/y**(-31) assuming y is positive. y**(39/20) Simplify ((f*f/f**1*f)**(-43)*(f*f/f**(-1))**(-3))/((f**(-2/7))**(4/5)/(f**(2/3))**(-7/5)) assuming f is positive. f**(-10049/105) Simplify ((i**(9/5)/(i/i**(-19)*i))/(i*i**(-5/6)*i**(-10/9)/i))**(-10/3) assuming i is positive. i**(1553/27) Simplify (p**(-40)/(p*p*(p/(p/((p*p**(2/51)/p)/p*p))*p)/p))/(p**(-13)*p*p*p*p**(-3/5)) assuming p is positive. p**(-8017/255) Simplify ((((j/j**(-6))/j*j**(2/3))**(-3/17))**22)**(5/4) assuming j is positive. j**(-550/17) Simplify ((m**(1/2))**(-36)/((m**(-2/11)*m*m)/m*m**(3/4)))/((m**(-3)*(m/m**(-4/5)*m)/m)/(m**(-1/3))**(2/63)) assuming m is positive. m**(-764189/41580) Simplify m*m**(2/11)*m/(m**(-6)/m)*m*(m*m*(m**0/m)/m)/m*m/(m**(-1/2)/m)*m*m**1*m**(-1/6)*m**(1/4)*m*m**(-5) assuming m is positive. m**(1289/132) Simplify ((l**(3/2)*l)/(l*(l**(-7)/l)/l*l)*l*(l**0*l)/l*(l**(-3/4)*l)/l)/(l**(-2)/(l*l/(l*l**(4/7))))**(-46) assuming l is positive. l**(-2855/28) Simplify ((h/h**(4/15))/(h**(6/11)*h)*(h**(-7))**36)**(-23) assuming h is positive. h**(959422/165) Simplify ((y*y/(y*y**(-1))*y)**(7/11)*(y**0*y)**(-22))/(((y/(y*y/y**(-2/5))*y)/(y*y**3/y))/((y**(-1)/y)/(y**(-1)/y))) assuming y is positive. y**(-918/55) Simplify ((u**1)**(-1/47)*(u/(u**(-3)/u))/u**(-3/2))/((u*u**8)/u**6*(u/(u*u/(u/u**9)))/(u/u**(-4))) assuming u is positive. u**(1643/94) Simplify (x/(x/(x**(-2/5)/x))*(x**6*x)/x)**1*((x*x**(2/5)/x)/(x**(-2/13)*x))**(-13) assuming x is positive. x**(52/5) Simplify ((m*m*m**(-11))/((m*m**(-10))/m))**12*(m*m/m**0)**(2/93)/(m*m**(-1))**(1/10) assuming m is positive. m**(1120/93) Simplify ((m**(-37)/(m/((m**(2/3)*m)/m)))/(m**(-8/7)*m**24/m))**27 assuming m is positive. m**(-11187/7) Simplify ((v**1)**48)**3/((v**1)**(-21/2)/(v**(-3)/(v*v**(-3)*v))) assuming v is positive. v**(305/2) Simplify ((((h*h**(-3)*h)**(4/5))**(8/9))**(-1/10))**(-10/13) assuming h is positive. h**(-32/585) Simplify ((k*(k/(k**(2/31)/k))/k*k*k**(-3/2)*k)/(k**5)**26)**(-21) assuming k is positive. k**(166089/62) Simplify (n**(1/23)*n*n*n**(-9)*n*n)**(-38)*(n**2)**47*((n*n/(n/(n**0*n*n*n)))/n)/(n**(5/3)/n) assuming n is positive. n**(19643/69) Simplify ((c**(-2))**(-19)*c**(2/11)/(c/c**(-1/3)))/((c*c**(-1/5)*c)**(-9))**(7/5) assuming c is positive. c**(49111/825) Simplify (n**(1/6)*n*n**(-5)*(n*n**(1/2))**(-7))/((n/(n**4/n)*(n*n/n**7)/n)/(((n/((n*n/(n/(n/n**(-6)*n))*n)/n))/n)/(n*n**(-2/9)))) assuming n is positive. n**(-145/9) Simplify (l**0/l**(-1)*(l/(l*l/(l/((l*(l**(-8)*l)/l)/l))))/l**(-6))/((l*l*l**0*l*l*l)/(l**1*l))**(2/71) assuming l is positive. l**(1059/71) Simplify (d*d/d**(-1))**(-4/5)/(d*d*((d/(d**(1/4)/d))/d)/d*d**(1/3))*(d**(2/7)/(d/((d*d**1/d*d)/d)))**(-1/3) assuming d is positive. d**(-641/140) Simplify ((h*h**5)/(h**(-2/9)/h)*h/(h/h**(-7))*h**(-2))/((h**(3/2)*h)/h**(-4)*h**3/(h*h*h**(1/5))) assuming h is positive. h**(-817/90) Simplify (k**(3/2)/(k*k/(k*k*k/(k*k*k**(-6)))))**(-23/2)/((k**(-4/5)/((k**(-3/5)*k)/k*k))/(k**(-5)*k*k**(-1/5))) assuming k is positive. k**(-311/4) Simplify (((v**(2/11)*((v/((v**(-6)*v*v)/v))/v)/v)/(((v/(v/v**(2/3)*v))/v)/v**(-3)))**37)**(-3/20) assuming v is positive. v**(-3071/220) Simplify (l**(-1/10)*l**9)**(-1/21)/((l**(-1/3)*l**(-4))/(l**(-6/5)/(l/(l*l/(l**9/l)*l)*l))) assuming l is positive. l**(-901/210) Simplify (((h*h**(-38)*h)/h)/(h**(1/21)/h)*(h/h**(-1/22))/((h/h**(-46))/h))**(2/3) assuming h is positive. h**(-37423/693) Simplify z**(-1)/(z/(z/(z/((z**(-6)*z)/z)*z)*z*z)*z)*((z/(z/(z*z/(z/(z**(-1/2)/z)))))/z*z)**(2/63)*(z**(1/10)/z**(1/10))/(z**0/z)**19 assuming z is positive. z**(692/63) Simplify (l**30)**(10/17)*l/(l*l**41)*l**38/l*l assuming l is positive. l**(249/17) Simplify ((w**(-13)*w*w/(w**(3/11)*w)*w)/(w/w**(6/17)*w**0))**(-30) assuming w is positive. w**(66870/187) Simplify ((d*d**(1/4)*d)/(d**(-1/13)*d))**(3/2)*((d*d*d*d/d**(-1/5))/(d**(-3)*d))/((d*d*d**(-6/7)/d)/(d**(-7)/d)) assuming d is positive. d**(173/3640) Simplify ((p*p**(-2/5)*p)/(p**(-2)*p*p))**(-40)*(p/p**(-4/7)*p**(1/5))**12 assuming p is positive. p**(-1496/35) Simplify ((((w*w**(-1/3)*w)/w)/w)/(((w/w**(-3))/w)/w)*(w**(-2/7))**27)/((w/w**(2/3))**21*w/w**(2/7)*w**(-1/7)) assuming w is positive. w**(-370/21) Simplify (c**2/c*c/(c/(c/c**7)*c))**(-5/6)*((c**(4/3)*c*c)/c**(-4/7))/(c*c**(1/8)*(c**(3/2)/c)/c) assuming c is positive. c**(1391/168) Simplify ((x/(x**0/x))**(-6/7)/((x**(-6/7)*x*x)/x**(-5)))/(x**3/x**(-2))**10 assuming x is positive. x**(-405/7) Simplify (k**(9/11)*k)/(k*(k/k**37)/k)*k**45*k**(-14) assuming k is positive. k**(757/11) Simplify ((z**(-11)/z)**(-44)*((z*z**(-11))/z)**(-2/17))**(-49) assuming z is positive. z**(-440902/17) Simplify (q**(-1/2)*q*q*(q/(q**(-3/2)/q))/q*q*q)**(-43)/(q**6/(q**3/q)*(q**5/q)/q*q**(-4/7)) assuming q is positive. q**(-1851/7) Simplify (g**(-4)/(g*g/(g**(1/15)/g))*g**(-3/5)*g*g*g**9)**(-5) assuming g is positive. g**(-52/3) Simplify ((k/(k*k**1*k))**6/((k/(k*k*k**(-5)))/(k/(k*k*(k*k/k**(1/5))/k*k*k*k))))/(k**(-5)/(((k*k**(-5)*k*k*k)/k)/k*k))**(7/8) assuming k is positive. k**(-727/40) Simplify ((x**(2/13)*x)**(4/35)*x**(-12)/x**(-3/4))**(10/11) assuming x is positive. x**(-20235/2002) Simplify (((((p/(p*p**(-2/5)*p))/p)/p)/p*p)**(4/13)*(p*p*p**(2/7)*p)/(p**(-3/4)/p))**(-8/9) assuming p is positive. p**(-1186/315) Simplify (((j**(-9/2)/(j*j**6))/(j**(1/2))**(-9))**(12/5))**15 assuming j is positive. j**(-252) Simplify (((k**14)**(-35))**14)**(9/10) assuming k is positive. k**(-6174) Simplify (g/g**(-20/7)*g)**(-8/9)/(g**41/g*g**(-5/7)/g) assuming g is positive. g**(-2684/63) Simplify (((v**(-10)*v*v/v**0)/((v*v**(-1/20))/v*v*v/v**(2/27)))**(-8))**(-38) assuming v is positive. v**(-405308/135) Simplify (i**(-34))**(-7)/(i**(-1/6)*i**(-7/9)) assuming i is positive. i**(4301/18) Simplify ((j/(j**(1/2)/j))**(-3/4)*(j**(3/5)/j)/(j/j**3))/(j**8/j**8)**(22/3) assuming j is positive. j**(19/40) Simplify ((p**(-2/33)*p)/p)**(1/64)/(p*p**17)**37 assuming p is positive. p**(-703297/1056) Simp
{ "pile_set_name": "DM Mathematics" }
4 (b) 15 (c) -0.13 (d) -0.04 (e) 0.1 (f) 0.4 a Which is the second biggest value? (a) 553/6 (b) 5 (c) -5 (d) -1 (e) 0.14 (f) 0.2 b What is the fourth smallest value in -144, -2/7, -0.07, 0, 4? 0 Which is the third smallest value? (a) 1 (b) -74/7 (c) 0.3 (d) 123/83 a Which is the smallest value? (a) -3/2 (b) -23 (c) 7693 b Which is the second smallest value? (a) -5/3 (b) 1/60 (c) -144 a Which is the third smallest value? (a) -3/37 (b) -0.053 (c) 56 c Which is the second smallest value? (a) 0.4 (b) 0.3 (c) 0.051 (d) 1/6 d What is the smallest value in -8, -1/11, -393, -0.1? -393 What is the third smallest value in -0.02, -7, 0, 34? 0 What is the biggest value in -1/9, -6, 0.03, -9, 3? 3 Which is the second smallest value? (a) 2.3 (b) -0.47 (c) -3 (d) 1 (e) 2/7 b What is the smallest value in -380, 2/15, -0.1? -380 What is the fourth smallest value in -4, -154, 4, 2/1129? 4 What is the third biggest value in -0.1, 2/5, 3, -3, 70/3? 2/5 What is the second biggest value in 818, -5, 1/3? 1/3 Which is the fourth biggest value? (a) -0.4 (b) -4 (c) -1 (d) 50 (e) 0.838 c What is the second smallest value in -2/3, -1/3, -2277, -1? -1 Which is the third biggest value? (a) 1.3 (b) 0.5 (c) 0 (d) 1 (e) -5 (f) -165 b What is the second biggest value in -4, 0.3, -2/9393? -2/9393 Which is the second smallest value? (a) -9 (b) 1/7 (c) -7.2 c Which is the fourth smallest value? (a) 0.5 (b) 75 (c) 0.01 (d) -406 b Which is the second biggest value? (a) 3/10 (b) 1/5 (c) 10/7 (d) 0.03 (e) 91 c What is the third smallest value in -2/27, -0.9805, -6, -0.5, -0.3? -0.5 What is the third biggest value in 271, -0.2, -1/245? -0.2 Which is the fourth biggest value? (a) -2 (b) -1/10 (c) 0.052 (d) 0.15 a What is the third biggest value in -2, -6, -4, 91, -8/7? -2 What is the third smallest value in -1, 3573/4, -4/5, 0? 0 What is the biggest value in 22, -1, 0.4? 22 Which is the third smallest value? (a) -0.06 (b) -19267 (c) -2 (d) -0.01 a Which is the fifth biggest value? (a) 43 (b) 556 (c) -0.5 (d) 0.1 (e) -11 e What is the second biggest value in -2/9, 4, -2/451, -35, 3? 3 What is the fourth smallest value in 3.67, -27, -1, 3? 3.67 Which is the biggest value? (a) -2/7 (b) 18 (c) 0.2 (d) 7 b What is the third biggest value in 0.3, 1, 0.1, 0.5, 2/15? 0.3 Which is the smallest value? (a) 1/17 (b) 3 (c) -3/4 (d) 2/3 (e) 0.02 c Which is the second biggest value? (a) 0 (b) 1/5 (c) 874 (d) -2 (e) 2/15 b Which is the fourth smallest value? (a) 4 (b) 114 (c) 0.8 (d) 69 b What is the biggest value in -12, 1/3, 2/3, 925? 925 Which is the second smallest value? (a) -1 (b) -3 (c) -9 (d) -7 (e) -534 c Which is the fourth smallest value? (a) -3/4 (b) 0 (c) -5151 (d) 3 (e) 5 d Which is the second biggest value? (a) -1 (b) 3/5 (c) 23 (d) 0.4 (e) 3 e What is the fourth smallest value in 0, -1, 2, -293, 11? 2 What is the third biggest value in -77, -246.5, -1/6? -246.5 Which is the third biggest value? (a) -4/3 (b) 32.387 (c) 0 a What is the smallest value in -15, 2.8, 4, 5, -0.05, 0? -15 What is the smallest value in -141, 0.5, -213? -213 Which is the second biggest value? (a) -31/5 (b) 2/15 (c) -2/27 c What is the fifth smallest value in -3, -106, -2, 0, 2? 2 Which is the biggest value? (a) -198 (b) 3 (c) 133 c What is the second biggest value in 2, -4393.95, 0.4? 0.4 What is the fifth smallest value in -1, 1, 1.3, -0.3, 1/3? 1.3 What is the fifth biggest value in 24, -10, -1, 0, 1, -4/43? -1 What is the third smallest value in -0.4, 1, -13/8, 4, -3? -0.4 What is the second smallest value in -0.2, -127, -0.14? -0.2 What is the third biggest value in 0.4, -0.55, -1/5, -0.4, -3/7, 1/3? -1/5 What is the smallest value in 3/4, -0.03, 168, 3, 0.1? -0.03 What is the third smallest value in -5, 42, -10, 0.6? 0.6 What is the third smallest value in -56, 4.91, 0.3? 4.91 What is the second smallest value in -3/89, -8, -3, 2/3? -3 Which is the smallest value? (a) -575.75 (b) -2/5 (c) -3/5 a What is the smallest value in -3, -0.02, -2.86, 7? -3 What is the second smallest value in 100, 760, 3/7? 100 Which is the smallest value? (a) -3/5 (b) 3/5 (c) 6 (d) -1 (e) -4/15 d What is the third biggest value in 9/7, -0.2, 53, 0.04? 0.04 Which is the third smallest value? (a) -0.05 (b) -13/29 (c) -2 (d) 1/28 a What is the fourth biggest value in -21, 0.5, -3/4, -0.1, 2/9, -59? -3/4 Which is the smallest value? (a) -711 (b) -2.07 (c) 0.04 (d) 5 a Which is the second biggest value? (a) -0.4 (b) -5 (c) 1244 (d) -0.2 (e) 0 (f) -0.9 e What is the smallest value in 1, 4, 35.409, 2/5, -3? -3 What is the second biggest value in -0.1, 0, -4/5, -2/31, 88, 0.1? 0.1 What is the sixth biggest value in 2.1, 3, 6, 0.1, -1/3, -13? -13 What is the third biggest value in -5, 0, -0.196068? -5 What is the second smallest value in 18, 2/393, -24? 2/393 Which is the biggest value? (a) -4/7 (b) -5/58 (c) -0.5 (d) 53 d What is the second smallest value in 16, -0.06, 2, -10.13? -0.06 What is the smallest value in 5.9, -15, -5, -0.08? -15 What is the third smallest value in -66, 1/45, -0.1? 1/45 Which is the third biggest value? (a) 3/2 (b) 513 (c) -0.09 (d) -4.1 c Which is the second biggest value? (a) 2/9 (b) -4 (c) 136 (d) -0.36 a What is the second biggest value in -13, -3, -60.27? -13 What is the third smallest value in -4, 12356, 0? 12356 What is the smallest value in 1.666, -2/3, -1/4, -0.1? -2/3 Which is the second biggest value? (a) 0.2 (b) 6.733 (c) -2 a Which is the fourth smallest value? (a) -4/5 (b) 0.2 (c) -1 (d) -0.7 (e) 827 b Which is the biggest value? (a) -0.0299 (b) -137 (c) -0.3 a Which is the third smallest value? (a) 22/7 (b) 4/23 (c) -2 (d) -2/9 (e) 1/4 b Which is the third biggest value? (a) 0.3 (b) 406 (c) -8 (d) 1/3 (e) 0.03 a Which is the fourth smallest value? (a) 2/207 (b) -1.13 (c) 3 (d) -0.1 c What is the third biggest value in 8/13, 3, 2/27, 0.3, -9, -2? 0.3 Which is the third biggest value? (a) -1/3 (b) 5 (c) -94 (d) -4/115 a What is the second smallest value in -0.3, 0.3, 0.71, -4, -33, 2? -4 What is the second biggest value in 0.1, -60, -5/4? -5/4 What is the fourth biggest value in -2/17, 4, -3, 37, -6? -3 Which is the smallest value? (a) 3 (b) 0.1 (c) -0.15 (d) -2 (e) 4/21 d Which is the smallest value? (a) 2 (b) 13/5 (c) 2/127 (d) 1/2 (e) -1 e Which is the smallest value? (a) -32712 (b) 0.3 (c) -3 a Which is the fourth biggest value? (a) 3 (b) 1/5 (c) -2067 (d) 3/2 (e) 2/11 e Which is the second biggest value? (a) 0.3 (b) 0 (c) 1/3 (d) 1.4 (e) 95 d Which is the second smallest value? (a) -1/7 (b) -0.4 (c) -5304/11 (d) -0.07 b Which is the fourth smallest value? (a) 2/15 (b) 1.34 (c) 19 (d) 5 c Which is the fifth smallest value? (a) 0.61 (b) -2/5 (c) -34 (d) -0.3 (e) 1 e What is the second biggest value in -4/1933, 0.3, 3? 0.3 Which is the third biggest value? (a) -5/68 (b) -7 (c) 2/7 (d) 4 (e) 15/4 c What is the smallest value in -1, -28900, -5, 4? -28900 Which is the second biggest value? (a) -468 (b) 1.5 (c) -21 c Which is the second smallest value? (a) 3/32 (b) 12/11 (c) -1.7 (d) 2 (e) 2/15 (f) -5 c What is the smallest value in 1/3, -1/11, -730? -730 Which is the fifth smallest value? (a) 2/31 (b) 21 (c) 1 (d) -9 (e) -5 b Which is the smallest value? (a) 6 (b) 5 (c) -2.4 (d) 3 (e) 0 c What is the fourth smallest value in 12, 0.5, 0.06, 5, -2/5, 0? 0.5 Which is the smallest value? (a) 4 (b) -150 (c) -15 b What is the third biggest value in -0.01, 0, -3, 0.8, -0.11? -0.01 What is the second biggest value in 4/9, -232, -15, 0.1, 3/7? 3/7 What is the second biggest value in -15.85, 2/11, 5, -0.7? 2/11 What is the smallest value in 5, 1/2, 0, 1/9, 1/3, -55? -55 What is the second biggest value in 14, 0.3, -140/39, 0.5, 2? 2 What is the second smallest value in -105814, 0.5, -4? -4 What is the second smallest value in 1, 0.2, 1/7, -0.282, 14, -0.4? -0.282 Which is the sixth smallest value? (a) 2 (b) -0.1 (c) -3 (d) -1/5 (e) 0 (f) -16 a Which is the second biggest value? (a) 1 (b) 2/7 (c) 6 (d) -287 (e) 0.1 (f) 4 f What is the second smallest value in 26
{ "pile_set_name": "DM Mathematics" }
when 253 is divided by 33. 22 What is the remainder when 101 is divided by 25? 1 What is the remainder when 84 is divided by 35? 14 Calculate the remainder when 671 is divided by 668. 3 Calculate the remainder when 3990 is divided by 1992. 6 Calculate the remainder when 282 is divided by 41. 36 Calculate the remainder when 391 is divided by 37. 21 Calculate the remainder when 1821 is divided by 24. 21 Calculate the remainder when 313 is divided by 126. 61 What is the remainder when 140 is divided by 25? 15 Calculate the remainder when 61 is divided by 14. 5 What is the remainder when 32 is divided by 17? 15 What is the remainder when 257 is divided by 75? 32 What is the remainder when 3186 is divided by 110? 106 Calculate the remainder when 17596 is divided by 7. 5 What is the remainder when 4555 is divided by 240? 235 Calculate the remainder when 170 is divided by 32. 10 Calculate the remainder when 18761 is divided by 53. 52 Calculate the remainder when 3620 is divided by 145. 140 What is the remainder when 375 is divided by 66? 45 Calculate the remainder when 4194 is divided by 16. 2 What is the remainder when 18 is divided by 7? 4 Calculate the remainder when 346 is divided by 13. 8 Calculate the remainder when 2437 is divided by 47. 40 Calculate the remainder when 995 is divided by 346. 303 Calculate the remainder when 280 is divided by 10. 0 What is the remainder when 915 is divided by 412? 91 Calculate the remainder when 169 is divided by 42. 1 What is the remainder when 59 is divided by 41? 18 What is the remainder when 1167 is divided by 16? 15 What is the remainder when 719 is divided by 19? 16 Calculate the remainder when 16 is divided by 8. 0 What is the remainder when 2340 is divided by 87? 78 Calculate the remainder when 19542 is divided by 28. 26 What is the remainder when 982 is divided by 141? 136 What is the remainder when 587 is divided by 10? 7 What is the remainder when 2254 is divided by 37? 34 Calculate the remainder when 4028 is divided by 29. 26 What is the remainder when 37881 is divided by 33? 30 What is the remainder when 2307 is divided by 154? 151 Calculate the remainder when 6 is divided by 1. 0 Calculate the remainder when 2942 is divided by 16. 14 Calculate the remainder when 217 is divided by 81. 55 Calculate the remainder when 119 is divided by 78. 41 Calculate the remainder when 209 is divided by 42. 41 What is the remainder when 142 is divided by 66? 10 Calculate the remainder when 10190 is divided by 40. 30 What is the remainder when 311 is divided by 74? 15 Calculate the remainder when 593 is divided by 17. 15 Calculate the remainder when 417 is divided by 131. 24 What is the remainder when 327 is divided by 74? 31 What is the remainder when 10923 is divided by 16? 11 Calculate the remainder when 148 is divided by 38. 34 Calculate the remainder when 38 is divided by 32. 6 Calculate the remainder when 109 is divided by 45. 19 What is the remainder when 341 is divided by 90? 71 Calculate the remainder when 131 is divided by 70. 61 What is the remainder when 37012 is divided by 93? 91 What is the remainder when 163 is divided by 24? 19 Calculate the remainder when 111 is divided by 99. 12 What is the remainder when 14 is divided by 11? 3 Calculate the remainder when 45 is divided by 23. 22 What is the remainder when 10 is divided by 1? 0 What is the remainder when 9486 is divided by 11? 4 What is the remainder when 194 is divided by 27? 5 What is the remainder when 175 is divided by 37? 27 Calculate the remainder when 179 is divided by 68. 43 Calculate the remainder when 231 is divided by 107. 17 What is the remainder when 384 is divided by 130? 124 Calculate the remainder when 73 is divided by 40. 33 Calculate the remainder when 7003 is divided by 23. 11 Calculate the remainder when 1304 is divided by 12. 8 Calculate the remainder when 294 is divided by 25. 19 Calculate the remainder when 1190 is divided by 1187. 3 Calculate the remainder when 2731 is divided by 2723. 8 Calculate the remainder when 644 is divided by 40. 4 Calculate the remainder when 482 is divided by 162. 158 Calculate the remainder when 753 is divided by 127. 118 Calculate the remainder when 170 is divided by 78. 14 Calculate the remainder when 193 is divided by 71. 51 Calculate the remainder when 272 is divided by 61. 28 Calculate the remainder when 113 is divided by 48. 17 What is the remainder when 54 is divided by 8? 6 Calculate the remainder when 360 is divided by 73. 68 What is the remainder when 188 is divided by 38? 36 Calculate the remainder when 88 is divided by 17. 3 Calculate the remainder when 27 is divided by 24. 3 What is the remainder when 102 is divided by 10? 2 What is the remainder when 95 is divided by 85? 10 What is the remainder when 3977 is divided by 27? 8 What is the remainder when 2856 is divided by 159? 153 What is the remainder when 1918 is divided by 38? 18 Calculate the remainder when 1317 is divided by 33. 30 What is the remainder when 322 is divided by 260? 62 Calculate the remainder when 28 is divided by 11. 6 Calculate the remainder when 3753 is divided by 85. 13 Calculate the remainder when 42 is divided by 5. 2 Calculate the remainder when 20 is divided by 17. 3 Calculate the remainder when 9293 is divided by 99. 86 What is the remainder when 6347 is divided by 18? 11 Calculate the remainder when 282 is divided by 17. 10 Calculate the remainder when 122 is divided by 10. 2 Calculate the remainder when 51 is divided by 9. 6 What is the remainder when 128 is divided by 11? 7 What is the remainder when 114 is divided by 9? 6 What is the remainder when 745 is divided by 182? 17 What is the remainder when 373 is divided by 19? 12 What is the remainder when 9588 is divided by 7? 5 Calculate the remainder when 39 is divided by 39. 0 What is the remainder when 139 is divided by 52? 35 Calculate the remainder when 2878 is divided by 712. 30 What is the remainder when 194 is divided by 18? 14 Calculate the remainder when 663 is divided by 206. 45 Calculate the remainder when 207 is divided by 33. 9 What is the remainder when 128 is divided by 27? 20 Calculate the remainder when 250 is divided by 68. 46 Calculate the remainder when 127 is divided by 13. 10 Calculate the remainder when 17 is divided by 8. 1 Calculate the remainder when 1363 is divided by 192. 19 Calculate the remainder when 831 is divided by 411. 9 What is the remainder when 396 is divided by 390? 6 Calculate the remainder when 1231 is divided by 417. 397 Calculate the remainder when 262 is divided by 44. 42 What is the remainder when 97 is divided by 11? 9 Calculate the remainder when 172 is divided by 79. 14 What is the remainder when 863 is divided by 9? 8 What is the remainder when 78 is divided by 25? 3 Calculate the remainder when 207 is divided by 49. 11 Calculate the remainder when 42 is divided by 18. 6 Calculate the remainder when 956 is divided by 288. 92 Calculate the remainder when 272 is divided by 94. 84 What is the remainder when 124 is divided by 14? 12 Calculate the remainder when 161 is divided by 61. 39 What is the remainder when 153 is divided by 4? 1 Calculate the remainder when 244 is divided by 16. 4 What is the remainder when 111 is divided by 14? 13 What is the remainder when 173 is divided by 56? 5 What is the remainder when 326 is divided by 22? 18 What is the remainder when 323 is divided by 4? 3 What is the remainder when 244 is divided by 62? 58 Calculate the remainder when 1828 is divided by 63. 1 Calculate the remainder when 213 is divided by 110. 103 Calculate the remainder when 76 is divided by 13. 11 What is the remainder when 426 is divided by 15? 6 Calculate the remainder when 106 is divided by 55. 51 What is the remainder when 159 is divided by 42? 33 What is the remainder when 457 is divided by 11? 6 Calculate the remainder when 10 is divided by 5. 0 What is the remainder when 125 is divided by 30? 5 What is the remainder when 15469 is divided by 170? 169 Calculate the remainder when 294 is divided by 71. 10 Calculate the remainder when 76 is divided by 11. 10 What is the remainder when 606 is divided by 32? 30 Calculate the remainder when 48 is divided by 23. 2 Calculate the remainder when 6958 is divi
{ "pile_set_name": "DM Mathematics" }
at is the fourth smallest value in -0.2, w, 5, 3/2? 5 Let m = 101 - 99. Let v = -0.3 + 0.6. What is the second smallest value in -2/9, v, m? v Let t = -56.99 - -55. Let b = 0.01 - t. Let z = -24.5 - -24. What is the second smallest value in b, -3, z? z Let u = 0.31 - 5.31. What is the second smallest value in -2/3, 0.5, u? -2/3 Let s = -1.3 + 6.3. Let r = -1117/9 + 124. Which is the smallest value? (a) r (b) 3 (c) s a Let l = 1/203 + 4/29. Let v = 18.7 + -19. Let x be (-5)/(-2)*12/15. Which is the biggest value? (a) v (b) x (c) l b Let f be (2/(-6))/((-21)/(-9)). Let s = -1.2 + -0.8. Which is the second biggest value? (a) -0.5 (b) s (c) f a Let g = -38.3 + 37. Which is the second biggest value? (a) -3 (b) g (c) -1 b Let k = -4.13 + 0.13. What is the smallest value in 3/5, k, -3? k Let g = -139/132 + 10/33. What is the third biggest value in 0.3, g, -0.3? g Let h be 3/(-2) - 39/(-26). What is the third biggest value in 1/2, -5/3, h? -5/3 Let p = -7 + 13. Let h = 2 - p. Which is the second smallest value? (a) 0.3 (b) h (c) -4/5 c Let g(j) = -j**3 - 2*j**2 - j - 1. Let z be g(-1). Let w be (-5)/z*3/5. Let b = 0.11 + 0.39. What is the biggest value in b, w, 5? 5 Let u = 8 + -8.2. Suppose 2*l - 4*l + 10 = 0. Which is the third biggest value? (a) l (b) 0 (c) u c Let k = 12.2 - 7.2. What is the biggest value in -1, 1, k? k Let w = -59 + 59. What is the second smallest value in 4, w, 0.4, 2/17? 2/17 Let t = -0.7 + -3.3. Let u = t + -1. What is the third smallest value in u, 2/5, 1/5? 2/5 Let z = -13 + 12.9. Let l = -30 - -25. Which is the third biggest value? (a) l (b) z (c) -3 a Let f = 1.5 - 1.6. Which is the second biggest value? (a) -2 (b) f (c) 4/3 b Let g = 4.9 - 0.9. Which is the third smallest value? (a) g (b) 3 (c) -2 a Let z = -12 + 10. Which is the third smallest value? (a) 5 (b) 7 (c) z b Let u = 120 - 119.5. Let z be 2/4 - (-2 + 1). What is the smallest value in -2, u, z? -2 Let k be (4/21)/(14/21). What is the second biggest value in k, 0, -0.4? 0 Let o = 4/9379 + -966333/694046. Let r = o - 4/37. Which is the second biggest value? (a) 3 (b) 5/3 (c) r b Let a(y) = 2*y**2 + y - 2. Let d be a(-3). Suppose -q + 0*f + d = -4*f, -3*f - 27 = 5*q. What is the second biggest value in -0.5, q, 4? -0.5 Let o be (-28)/8*15/(-70). Which is the third smallest value? (a) -0.03 (b) 5 (c) -3 (d) o d Suppose -4*f - 4*j - j = -30, -3*j + 16 = 2*f. Let t be ((-1)/f)/(2/5). Let r = 0.87 + 4.13. Which is the third biggest value? (a) -0.4 (b) t (c) r b Let r = 0.18 + 0.32. Let v = r - 4.5. What is the biggest value in v, -4/3, 2? 2 Let c = 13.3 + -13. What is the third smallest value in -0.05, c, 2? 2 Suppose 4*v - s = -3*s + 20, 3*v - 4 = 4*s. Let k(u) = -u**2 + 3*u + 5. Let b be k(v). What is the second biggest value in 5, b, -4? b Let p = -4 + 15/4. Let s = 42619/96 + -145/288. Let x = 443 - s. What is the third biggest value in p, x, 0.4? x Suppose -i = 5*d - 11, 6*i = 2*i - d + 6. Which is the second biggest value? (a) i (b) -0.2 (c) -5/4 b Let x = -3/8 - -47/168. Let f = 1835/13 + -141. Which is the biggest value? (a) -1/3 (b) x (c) f c Let c = -19 + 19.19. Let x = c + -3.19. What is the second smallest value in x, 2, 0.08? 0.08 Let z = -9/2 + 61/14. Let u = 4.91 - -0.09. Let t = 0.1 + -0.6. Which is the smallest value? (a) z (b) t (c) u b Let u = -129 - -131. Which is the biggest value? (a) 1 (b) -2/3 (c) -1 (d) u d Let m = 0.317 + -0.117. Which is the second biggest value? (a) 3 (b) m (c) 5 (d) -9 a Let k = -2.5 + -2.5. What is the second smallest value in -1/4, k, -0.1? -1/4 Let x = -31580813118/2387 + -1293345084406/3449215. Let g = x + 13605305. Let m = g + 2/289. Which is the smallest value? (a) -5 (b) m (c) 5 a Let u = 9.1 + -8.7. Let i = -2/67 + 71/134. Which is the smallest value? (a) -4/3 (b) i (c) u a Let i = -0.052 - -4.152. Let c = i - 4. Let z = c - 0.3. What is the second smallest value in 0.3, z, 4? 0.3 Let r = -26 - -17. Let k = r + 8.5. Let q be (1 + -2)*-5*1. Which is the smallest value? (a) q (b) k (c) 2 b Suppose 28 - 40 = 3*u. Which is the biggest value? (a) 8 (b) 3/8 (c) u (d) 4 a Suppose -2*o = -b - 6 - 23, 4*b = -4. Let f be (7 - 11)*(-1)/o. What is the third biggest value in 4, -0.5, f? -0.5 Let x = 0.031 - 1.031. What is the third biggest value in -0.5, x, -6, 0.5? x Let z be (-10)/(-2) - (-11 + (25 - 11)). Let k be (4/(-10))/((-2)/20). What is the biggest value in z, 0.4, k? k Let f be (-2)/(1/2 - 1). Let y = -8.8 + 8.9. Let n = -0.34 - 0.06. Which is the second smallest value? (a) y (b) f (c) n a Let p = 32.4 - 32. Which is the biggest value? (a) 0.3 (b) p (c) -3/8 (d) 2 d Let d = -0.54 - -0.24. What is the smallest value in -4, d, -1/3? -4 Let f = 0.6 + -4.6. Let d = -7 - -5. Let l = d - -1.8. What is the third biggest value in l, 0.4, f? f Let y = -8 - -6. Let l be 2 + (-3)/(9/(-6)). What is the smallest value in y, l, -1/4? y Let s = -0.6 - -1. Let a be 3/(-36)*64/(-12). What is the third smallest value in -3, a, s? a Let f be (-4)/14 - (-45)/84. Let g = 3.6 + 0.4. What is the smallest value in f, -4, g? -4 Let h be 8/6 + (-2)/2. Let g = 67 + -68. Which is the third biggest value? (a) 1/8 (b) g (c) h b Let w = -0.1 - 0.9. Let g be -1*(2 - (-2 + 5)). What is the third smallest value in -0.5, w, g? g Let d be (-2)/(-30) - 10/25. Which is the third smallest value? (a) d (b) 5/4 (c) -3 b Let x = -6.03 + 6. Let m = 0.52 - x. Let s = 0.05 - m. Which is the smallest value? (a) s (b) -2 (c) 4/3 b Let v = -1.23 + 1.03. Which is the fourth smallest value? (a) 1/4 (b) 0 (c) 0.1 (d) v a Let z = -14 + 16.6. Let o = -6 + 3. Let d = z + o. Which is the biggest value? (a) 1 (b) -0.3 (c) d a Let x = 0 + 4. Let w = x + -3.5. What is the second biggest value in 3, w, 2/13? w Let t = 78 + -73. What is the third smallest value in 1/4, t, 3? t Let m = -40 - -44. Which is the smallest value? (a) -1/4 (b) 1/5 (c) m (d) 5/6 a Let q be ((-4)/(-10))/(434/35). Let z = -117/217 - q. Which is the second biggest value? (a) -3 (b) -1/6 (c) z c Let s = 0.6 + -1. Let c = -65 - -60. What is the third smallest value in c, s, 0.3? 0.3 Let u be (-6)/15 + 0/(-1). Let m = -205 - -202. What is the smallest value in 4, m, u? m Let w = -0.65 + -0.25. Let s = w - -1.9. Which is the biggest value? (a) 0.3 (b) s (c) -5 b Let u = 0.1 - -0.9. Let l = 17.5 - 17. Which is the smallest value? (a) l (b) u (c) 0.1 c Let v = 4.01 + -0.01. Let x = 0.06 - 0.26. Which is the third smallest value? (a) -4/5 (b) x (c) v c Let z = -12 + 21. Let j = -3 + z. Let o = j + -5.7. What is the smallest value in o, -4, -2? -4 Let z be ((-7)/7)/(-4*1). Which is the third biggest value? (a) -9 (b) z (c) 2/3 a Let l = 20 + -15. Suppose -4*d + 2*p + 4 = 0, 0 = -l*d + p + 5 - 0. Which is the third smallest value? (a) -0.3 (b) d (c) 2 c Let m = 50/9 + -133/45. What is the third biggest value in -1/4, m, -2, -0.2? -1/4 Suppose -z - 2*z + 10 = -4*p, -3*p - 7 = -2*z. Let j be ((-2)/(-16))/(3/20). Which is the third smallest value? (a) j (b) z (c) 1 b Let o = -77 - -75. What is the fourth smallest value in -1, o, -0.02, -3? -0.02 Suppose 0*k - 3*k = -4*z + 2, 43 = 3*k + 5*z. Let y(g) = -g**2 + 7*g - 6. Let l be y(k). What is the smallest value in 2/5, l, -1? -1 Let u(a) = a**3 - 5*a**2 + 4*a. Let p be u(4). Let w = -37/4 + 9. What is the third smallest value in 2, p, w? 2 Let u = 126.02 + -123. Let l = u + -0.02. What is the smallest value in l, 0.5, 0? 0 Let i(q) = q**3 - 16*q**2 - q + 21. Let b be i(16). What is the second smallest value in b, 2/5, 2/15? 2/5 Let s = -5 + 4.7. Let r = -0.07 - -0.57. What is the smallest value in s, -1, r? -1 Let t = -0.7 - -0.2. Suppose 0 = 4*g - i + 13, 3*g = -i - i - 18. Let q(w) = -w**2 - 5*w. Let j be q(g). What is the second smallest value in 2/9, j, t? 2/9 Let u = -0.43 - 1.57. Let x = 0 + 0.2. Let w = 4.2 - x. What is the smallest value in 1, u, w? u Let n = -4 - -3. Let o = n - 5. Let x = -6.3 - o. Which is the second biggest value? (a) 3 (b) 4 (c) x a Let y = 43 + -38. What is the biggest value in 0.1, -4, y? y Let f be -2*((-5)/(-35) - 0). Which is the biggest value? (a) 2 (b) -5 (c) f a Let f = -0.7 + 0.7. Suppose -4*n = -3*n +
{ "pile_set_name": "DM Mathematics" }
). -x**3 + 4*x - 1 Let r(g) = 25*g**3 + 7*g**2 - 13*g + 27. Let m(d) = -d**3 + 2*d**2 - 3*d - 1. What is -4*m(v) + r(v)? 29*v**3 - v**2 - v + 31 Suppose -46*c + 79 = -427. Let n(j) = 2*j. Let r(p) = 10*p + 1. Let i be ((-6)/(-4))/(21/(-28)). Give c*n(y) + i*r(y). 2*y - 2 Let a(b) = 11*b - 18. Let m(r) = -5*r + 4708 - 4714 + 9*r. Calculate -6*a(q) + 17*m(q). 2*q + 6 Let l(u) = -u**2 + u. Suppose 2*z - 9 + 2 = 3*i, z - 3*i - 11 = 0. Let v(o) = -248*o**2 - 1 + 1 - 22*o + 249*o**2 + 21*o. Give z*l(h) - 3*v(h). h**2 - h Let n(h) be the second derivative of -5*h**4/12 + h**3/2 + 3*h**2/2 - 89*h - 2. Let c(a) = -4*a**2 + 2*a + 2. Suppose 4*s + 10 = 9*s. What is s*n(z) - 3*c(z)? 2*z**2 Let r(s) = -5*s**3 + 3*s - 6. Let d(k) = 27*k**3 - 77*k + 2. Let n(q) = -25*q**3 + 69*q - 3. Let t(l) = -8*d(l) - 9*n(l). Calculate -11*r(g) - 6*t(g). g**3 - 3*g Suppose -1 = l - 3. Let g(w) = 0*w**l + 2 + 5 - 6 - 2*w**2 + 2*w. Let d(y) = 2*y**2 - 3*y - 1. Calculate 4*d(q) + 6*g(q). -4*q**2 + 2 Let i(b) = 4*b + 2. Let p(h) = -14*h. Calculate -3*i(r) - 6*p(r). 72*r - 6 Let b(i) = 21*i**3 + 120*i**2 - 28*i - 9. Let r(p) = 7*p**3 + 40*p**2 - 8*p - 3. Determine -2*b(c) + 7*r(c). 7*c**3 + 40*c**2 - 3 Let z(f) = -6. Let b(v) be the second derivative of v**3/6 + 7*v**2/2 + v - 207. Let s be (-8)/16 - 11/(-2). Give s*z(k) + 4*b(k). 4*k - 2 Let s(a) = -5*a**2 - a - 13. Let l(q) = 138 + 6*q + 26*q**2 - 9 - 63. Determine 3*l(o) + 16*s(o). -2*o**2 + 2*o - 10 Let b(r) = 4*r**2 - 9*r - 24. Let c(o) = -o**2 + 4*o + 8. Determine -3*b(k) - 10*c(k). -2*k**2 - 13*k - 8 Let q(s) = -3. Let u be 3/(-2)*((-8)/(-14) + (-552)/84). Let c(g) = -g - 11. Determine u*q(a) - 2*c(a). 2*a - 5 Let d(k) = -3*k - 1. Let o(b) = -10*b - 1. Let m(r) = -11*r - 1. Let n(l) = m(l) - o(l). Determine -d(h) - n(h). 4*h + 1 Let x(k) = 29*k**2 - 8*k - 15. Let o(j) = 33*j**2 - 9*j - 18. Let f(l) = -5*o(l) + 6*x(l). Let g(z) = 19*z**2 - 7*z + 1. Give -5*f(q) + 2*g(q). -7*q**2 + q + 2 Let x(d) = 10*d**2 + 10*d - 2188. Let l(u) = 4*u**2 + 4*u - 1092. Determine -7*l(h) + 3*x(h). 2*h**2 + 2*h + 1080 Suppose 14*p = 95*p + 211*p + 1460. Let t(k) = -18*k**2. Let u(n) = 37*n**2 - 1. What is p*t(z) - 2*u(z)? 16*z**2 + 2 Let l(g) = 3*g + 3. Let c = 642 - 627. Let w be (-5)/(c/12)*(-13)/(-13). Let n(h) = -1 + 2 - 9*h - 9. Determine w*n(f) - 11*l(f). 3*f - 1 Let x(h) = 84*h**2 + 8*h - 267. Let u(o) = -83*o**2 - 8*o + 229. What is -7*u(l) - 6*x(l)? 77*l**2 + 8*l - 1 Let b(z) = 3 + 9 + 8 + 8 - 33 - z. Let i(r) = 2*r + 11. Determine -5*b(p) - 2*i(p). p + 3 Let d(k) = -k**3 + 2*k**2 - 4*k - 6. Let c(l) be the first derivative of -1/2*l**2 + 121 - l. What is 4*c(r) - d(r)? r**3 - 2*r**2 + 2 Let r(s) = -s - 1. Let x(z) = -200*z - 220. Let t(n) = -n**3 + 30*n**2 - 57*n + 908. Let u be t(28). Calculate u*r(i) - 4*x(i). -80*i Let o(z) = -4*z**3 - 4*z**2 - 36*z - 7. Let i(k) = -5*k**3 - 6*k**2 - 38*k - 6. What is -2*i(l) + 3*o(l)? -2*l**3 - 32*l - 9 Let x(k) = 103*k**2 - 43*k - 3. Let z(c) = 34*c**2 - 15*c - 1. Give 6*x(w) - 17*z(w). 40*w**2 - 3*w - 1 Let v(p) = -2*p**3 + 4*p**2 + 3*p + 4. Let o = -1765 - -1769. Let n(x) = 5*x**3 - 9*x**2 - 7*x - 9. What is o*n(d) + 9*v(d)? 2*d**3 - d Let a(j) = 34*j**2 + 6*j + 19. Let i(z) = -67*z**2 - 11*z - 38. Give 9*a(q) + 5*i(q). -29*q**2 - q - 19 Let v(c) = -c + 655. Let i(p) = 434. Give 8*i(l) - 5*v(l). 5*l + 197 Let k(f) be the third derivative of -f**4/3 - f**3 + 51*f**2. Let o be k(-6). Let j(q) = 60*q**2 + 42. Let a(w) = -7*w**2 - 5. Give o*a(y) + 5*j(y). 6*y**2 Let f(p) = -p**2 + 758*p - 6. Let o(s) = -32*s - 1. What is -f(y) + 5*o(y)? y**2 - 918*y + 1 Let q(a) = -75*a - 56. Let z(h) = -39*h - 25. Determine -4*q(c) + 9*z(c). -51*c - 1 Let d(l) = -115*l + 3. Let c(o) = -o - 1. Calculate 5*c(v) + d(v). -120*v - 2 Let s(d) = 8*d**2 + 27*d - 35. Let f(j) = -j**2 + 6. Determine -6*f(q) - s(q). -2*q**2 - 27*q - 1 Let h be (-12)/(-6) + -1 + 28. Suppose 19*z - h = 48*z. Let o(i) = i + 1. Let r(v) = -4*v - 5. Determine z*r(m) - 6*o(m). -2*m - 1 Let u(l) = 10*l**2 + 2*l - 18. Let j(q) = 13*q**2 + 2*q - 29. Calculate -9*j(s) + 12*u(s). 3*s**2 + 6*s + 45 Suppose -2*k = k + j - 11, -2*j + 1 = -k. Let m = -92 - -87. Let r(v) = v**2 - 2*v - 2. Let z(d) = -d**2 + d + 3*d**2 - 5*d - 3. Determine k*z(c) + m*r(c). c**2 - 2*c + 1 Let l(x) = 16*x**3 - 7*x**2 + 68*x + 2. Let u(c) = -6*c**3 + 2*c**2 - c - 1. Determine -l(d) - 3*u(d). 2*d**3 + d**2 - 65*d + 1 Let h(w) = 2*w. Suppose 222*s - 211*s - 55 = 0. Let b(q) = 2903 + s*q + 0*q - 2904. What is 2*b(l) - 6*h(l)? -2*l - 2 Let o(m) be the first derivative of -53*m**3/3 + 3*m**2/2 - m + 12518. Let v(u) = 26*u**2 - u. What is -2*o(t) - 5*v(t)? -24*t**2 - t + 2 Let z(j) = 7*j + 2. Suppose v + 10 = 3*a, 5*v - 2 + 0 = 2*a. Let o(g) = -445044*g - 72 + 445043*g + 71. Give v*o(t) + z(t). 5*t Let a(j) = -4*j + 2. Let i(o) = 38 - 59 + 20 + o. Calculate -2*a(y) - 4*i(y). 4*y Let a(b) = -23*b**3 - b**2 - 11*b + 19. Let v(n) = 48*n**3 + 2*n**2 + 21*n - 35. What is -11*a(h) - 6*v(h)? -35*h**3 - h**2 - 5*h + 1 Let n(c) = -173. Let l(q) = -52. Let x(d) = 10*l(d) - 3*n(d). Let i(a) = a - 22. What is -i(s) + 5*x(s)? -s + 17 Let n be -6 + 8 + -7 + -4. Let j(q) = -q**3 - 12*q**2 - 25*q. Let c be j(n). Let i(h) = 7*h**2 + 5*h + 5. Let l(w) = -24*w**2 - 18*w - 18. Give c*i(z) - 5*l(z). -6*z**2 Let y(s) = 4*s**3 + 2*s**2 - 6*s + 4. Let i(l) = -20*l**3 - 9*l**2 + 30*l - 21. Give 2*i(m) + 11*y(m). 4*m**3 + 4*m**2 - 6*m + 2 Let s(c) = 6*c**3 + c**2 + 7*c - 26. Let p(l) be the second derivative of -l**5/10 - l**3/3 + 9*l**2/2 - 4*l + 220. Determine -7*p(f) - 2*s(f). 2*f**3 - 2*f**2 - 11 Let q = -1280 - -1287. Let x(j) = j + 9 - 19 + 12 + 2 + q. Suppose -2*i - 7 = -k - 0, 0 = -5*k + 5*i + 35. Let g(o) = o + 16. What is k*x(l) - 5*g(l)? 2*l - 3 Let x(u) = -u**3 - 2*u**2 + 2*u - 2. Let t(r) = 215*r**3 - 1 - 653*r**3 + 218*r**3 - r + r**2 + 219*r**3. Give 2*t(g) + x(g). -3*g**3 - 4 Let n(m) = -m**3 + m + 1. Let u be 108/18*6/(-9) + -32. Let f(k) = -2*k**3 + 9*k + 9. What is u*n(r) + 4*f(r)? 28*r**3 Let d(p) = -43*p**2 + 35*p - 12. Let f(r) = -44*r**2 + 32*r - 8. Calculate -2*d(x) + 3*f(x). -46*x**2 + 26*x Let m(d) = 85*d - 37*d - d**2 - 45*d. Let w(p) = p. Calculate 2*m(n) - 7*w(n). -2*n**2 - n Let o(l) be the third derivative of 7*l**6/120 - l**5/60 - l**3 + 12324*l**2. Let j(k) = -7*k - k**2 + 2*k + 4*k**3 + 5*k - 3. What is -5*j(s) + 3*o(s)? s**3 + 2*s**2 - 3 Let k be (-5)/1 - ((-45)/(-225) - 162/10). Let q(y) = -4*y**3 + 3*y**2 - 6. Let j(s) = -7*s**3 + 5*s**2 - 11. Give k*q(l) - 6*j(l). -2*l**3 + 3*l**2 Let f(d) = 41684 + 120*d**3 + 290*d**3 + 85*d**3 - 41717 + 33*d**2. Let v(a) = 31*a**3 + 2*a**2 - 2. Calculate 2*f(s) - 33*v(s). -33*s**3 Let o(k) = -5*k**3 + 6*k**2 - 6*k. Let x(h) = -3*h**3 + 5*h**2 - 5*h. Give 5*o(u) - 6*x(u). -7*u**3 Let t(i) = 143*i**3 + 5*i**2 + 5*i - 1. Let y(j) = 3*j**3 + j**2 + j. Calculate 4*t(b) - 20*y(b). 512*b**3 - 4 Let q(u) = 3*u**3 + 10*u**2 + 4*u - 9. Let y(p) = -p**3 - 5*p**2 - 2*p + 4. Let z be (54/150*5)/(8/40). Determine z*y(g) + 4*q(g). 3*g**3 - 5*g**2 - 2*g Let b = -1088 - -1089. Let i(c) = c. Let n(y) = -2*y - 2. Give b*n(a) + 3*i(a). a - 2 Let f(h) = -286*h**3 + 42*h**2 + 13*h. Let d(y) = -y**2 - y. What is -13*d(g) - f(g)? 286*g**3 - 29*g**2 Let i(b) = -b**2 + 15*b - 9. Let o(c) = -c**2 + 37*c - 19. Calculate -15*i(p) + 6*o(p). 9*p**2 - 3*p + 21 Let m(h) = 2*h - 3. Let t(a) = -2*a**3 - 82*a**2 + 83*a - 39. Let r be t(-42). Let g(w) = -3*w + 5. Determine r*g(o) + 5*m(o). o Let a(s) = -2*s**2 + 3*s - 3. Let u(g) = g**2 - g + 1. Let z = 4905 - 4907. What is z*a(l) - 6*u(l)? -2*l**2 Suppose 271*i + 4*u + 28 = 275*i, 5*u - 15 = -5*i. Let k(n) = n**3 + 5*n**2 + 5*n + 12. Let m(o) = -o**3 - 6*o**2 - 6*o - 13. Give i*m(t) + 6*k(t). t**3 + 7 Let t(j) = j - 14. Let f(a) = -3. Let g be 663/78 - 10/(-4). Give g*f(z) - 2*t(z). -2*z - 5 Let k(a) = 2*a + 8. Let g(r) = 46*r - 9 - 24*r - 25*r. Let v(q) = q + 3. Let x(o) = -2*g(o) - 5*v(o). Determine 3*k(s) - 8*x(s). -2*s Let l(t) = -111924*t**2 + 102597*t - 1846746. Let n(q) = -q**2 + q - 18. What is l(r) - 102597*n(r)? -9327*r**2 Let p(u) = -u**3 + 2*u**2 - 4*u - 3. Let t(g) = 4*g**3 - 11*g**2 + 16*g + 13. Give -9*p(i) - 2*t(i). i**3 + 4*i**2 + 4*i + 1 Let w(f) = 81*f**3 - 5*f**2 - 19*f - 12. Let r(q) = -324*q
{ "pile_set_name": "DM Mathematics" }
et j = 1 - x. Let i be (1*12)/3 - j. Solve 0*o - i = o for o. -5 Let s(n) = -3*n**2 - n + 1. Let g(r) = -9*r**2 - 4*r + 3. Let z(f) = 2*g(f) - 7*s(f). Let w be z(2). Let t be 2/7 + (-201)/(-7). Solve 0 = -5*m + t - w for m. 4 Suppose 5*i = -3*t - 11, i + 31 = -5*t - i. Let g = -2 - t. Let p = -1 + g. Solve 0 = d + p*d - 15 for d. 3 Let z(p) = 3*p - 1. Suppose m + m + 4*j - 2 = 0, 5 = 5*m - 2*j. Let o be z(m). Suppose -4 = o*k - 3*k. Solve l + 0 + k = 0 for l. -4 Suppose 0 = -5*c + 5*k - 10, 0 = 2*c + 3*k - 0*k - 16. Solve 0 = c*o + 3*o for o. 0 Let q = 11 - 4. Suppose 6*u - 4 = 4*u. Solve -u*y = -q*y for y. 0 Suppose -4*l = -l - 9. Suppose 5*j + 5 = 4*o, 12 = 3*j - 4*j + l*o. Suppose f = 2*x - j*f - 2, 30 = 2*x + 3*f. Solve -2*p = p + x for p. -3 Let x = 19 + -14. Let l = x - 5. Solve l = -3*u + u for u. 0 Suppose 5*p = 3*p - y + 8, -p + 4 = -4*y. Suppose 0 = -5*j - 0*j. Solve 0 = m - j + p for m. -4 Suppose -w - 2*x + 5 = -x, -3*x = 12. Solve 5*c - w = 2*c for c. 3 Let x(r) = -r**2. Let g be x(0). Solve g*v + 10 = 2*v for v. 5 Suppose -2 = -3*t + 2*t. Solve -2*l + t = -l for l. 2 Suppose -4*i = 6 - 42. Solve 0 = 3*v - 0*v - i for v. 3 Let h = -91 + 95. Solve -8 = -0*f - h*f for f. 2 Let g(z) = z**3 - 3*z**2 + 2*z - 1. Suppose -o = -p + 4*p - 18, -5 = -p. Let b be g(o). Solve -b + 13 = 2*h for h. 4 Let a(f) = 4*f - 3. Suppose -4*c + 22 = -6. Let n(l) = -l + 9. Let b be n(c). Let i be a(b). Solve -g = -i*g for g. 0 Suppose 3*q + n = 10, 6*n - 18 = -q + 2*n. Suppose -6*c + q*c = -12. Solve -4*w - c = 5 for w. -2 Suppose 0 = -4*c - 47 - 37. Let k be (-2)/8 + c/(-4). Solve k*d = 3*d - 2 for d. -1 Let t(c) = -c - 10. Let p(i) = -i - 5. Let f be p(5). Let a be t(f). Solve a = 4*m + 3 + 9 for m. -3 Let b be 10/4*(-9 - -15). Solve p + 2*p = b for p. 5 Let j(y) = y**2 + 10*y + 5. Let m be j(-10). Let l(h) = 1 + h**2 - m*h + h**2 + 1 + 0*h**2. Let a be l(3). Solve -4*k + a = -7 for k. 3 Let g(q) be the second derivative of q**4/12 + q**3/2 - 2*q. Let o be g(-5). Solve 5*a = 3*a + o for a. 5 Let l(z) = 2*z**3 - z + 1. Let s be l(1). Let f = s - -2. Solve 5 = o + f*o for o. 1 Let g(d) = d**2 - 5*d + 7. Let z be g(4). Let m be (4/z)/((-4)/(-12)). Solve 6 = -m*f + f for f. -2 Suppose -q + 13 = 11. Solve r + 15 = -q*r for r. -5 Let q be -1*-1*(-1 - -1). Solve -z - 5 + 0 = q for z. -5 Suppose -3*j + 0*j - 3*r = -21, -j = -5*r - 7. Let m = -4 + j. Suppose 11 - m = 2*a. Solve 3*d + a = -d for d. -1 Let h = -12 + 12. Suppose 0 = b + 3, 3*o + 6 = -h*o - 5*b. Solve o*l - 16 = -l for l. 4 Suppose -2*u - 1 = -x - 5, 3*x = 2*u. Solve -2*j + 6 + x = 0 for j. 4 Let a = 0 - -2. Suppose -a*t + 21 = -3*d, 4*t - 3*d - 32 = -5. Suppose -3*i + t = -18. Solve -2*q + 1 = -i for q. 4 Let w = -5 - -8. Solve w*z - 5*z + 2 = 0 for z. 1 Let z = 45 - 44. Solve 8*q - 7*q = z for q. 1 Let r = 28 - 18. Let w = -3 - -9. Let m = 8 - w. Solve -m = 4*u + r for u. -3 Suppose -29*m + 4*m = -4*m. Solve m*t - 8 = -4*t for t. 2 Suppose -4*u - 2 = 10, -2*u = -o + 8. Let h = o + 9. Solve 3*n = -h - 4 for n. -5 Let n = 10 + -8. Let r(w) = -n + 0*w - w + 0*w - 2. Let l be r(-4). Solve 4*u + u - 20 = l for u. 4 Let t(s) = -s**2 + 10*s. Let o(z) = z**2 + 8*z + 1. Let f be o(-9). Let r be t(f). Solve r = -0*v + v - 5 for v. 5 Let v = 0 + 8. Let h(p) = p**2 - 7*p + 4. Let u be h(v). Let m(b) = b**2 - 3*b - 7. Let j be m(5). Solve -u = -j*l - l for l. 3 Let q(t) = -16*t**2 + 46*t + 26. Let n(j) = 3*j**2 - 9*j - 5. Let h(p) = -11*n(p) - 2*q(p). Let l be h(7). Solve 0 = l*d - d for d. 0 Let x be (2/(-3))/(6/(-45)). Suppose -3*h + 2 = o, h + 0*h = 4*o + x. Let g(v) = 3*v**2 - 3*v + 2. Let a be g(2). Solve 3*s = a + h for s. 3 Let z = 14 - 8. Solve 3*o = -0*o - z for o. -2 Let t be (0 - 0)/((-8)/4). Solve -4*n + 3*n + 4 = t for n. 4 Let h = 19 + -19. Solve -u = 1 - h for u. -1 Suppose 5 = 6*m - 13. Let r(g) = g + 9. Let i be r(m). Solve 3*s = -0*s - i for s. -4 Suppose -7*j + 13 = -8. Solve -6 = j*a + 6 for a. -4 Let a(w) = w**3 + 3*w**2 - 5*w + 2. Suppose 26 - 10 = -3*g - 2*q, -2 = q. Let z be a(g). Solve -18 = 4*p - z for p. -3 Let j = 44 - 25. Let o be ((-7)/7)/(1/(-4)). Solve -o*z - j = 1 for z. -5 Let m(w) = w - 5. Let c be m(7). Solve -c*u + 3*u = -4 for u. -4 Let j(p) = 8*p**2 + p**3 + 12 - 4*p**2 + 2*p + 7*p**2 - p. Let q be j(-11). Solve 10 = -3*z + q for z. -3 Let c(u) = -u - 4. Let y be c(-7). Solve -x + y = -2 for x. 5 Let b be (-45)/(-20)*(-16)/(-6). Solve -10 = b*l - l for l. -2 Let c = -45 + 47. Solve -c*y - 2*y = 20 for y. -5 Let d = -22 - -23. Let y be d + -4 + -13 + 16. Solve -5 + y = 5*z for z. -1 Let p be -1 - (-3)/((-6)/(-20)). Let w(o) = o - 7. Let k be w(p). Solve -k = -4*c + 6 for c. 2 Let m(d) be the third derivative of -d**4/12 - 2*d**3/3 - d**2. Let u be (-20)/3 + 2/(-6). Let j be m(u). Solve -4*l = -2*l - j for l. 5 Let s = 66 + -45. Suppose -i + 4*n - 31 = 0, 24 - 91 = 5*i + 2*n. Let u = s + i. Solve -u*c = -4*c - 2 for c. 1 Suppose -8*p - 16 = -10*p. Solve -5*b - p = 7 for b. -3 Let k be -6*(-21)/12 - (-7)/(-14). Solve 4*r - 30 = -k for r. 5 Suppose -4*q = 3*a - 8*a + 14, 5*a = q + 11. Let p(w) = -w + 2. Let h be p(0). Suppose h*y + a*y = 0. Solve 3*t + 5 + 1 = y for t. -2 Let j = -113 - -116. Solve -7 = -j*u + 8 for u. 5 Let u(p) = p**3 - 2*p**2 + 4*p - 2. Let r be u(2). Let x(j) = -j**3 + 5*j**2 + 8*j - 7. Let z be x(r). Solve 13 = -z*i - 12 for i. -5 Let q = -14 + 24. Let p = q + -6. Suppose 8 = 2*j - p. Solve 2*k + 8 = j*k for k. 2 Let u = 4 + -4. Solve u*q - q = 4 for q. -4 Let t(r) = 2*r**2 - r - 1. Let l be t(2). Let f = l + -3. Solve -4*w = 10 + f for w. -3 Let r = -13 - -17. Solve -2*x - 10 = -r*x for x. 5 Let h(d) = -d + 10. Let n be h(0). Suppose -c = 4 - 7. Solve n = c*m - m for m. 5 Let l = -2 + 14. Let z = l - 2. Let x be (24/z)/(18/60). Solve r + r = -x for r. -4 Let g(l) be the second derivative of -l**3/6 - 3*l**2/2 - 3*l. Let h be g(-7). Solve 0 = 5*r - h*r for r. 0 Suppose u - 8 = -2*i, -64 = -5*u - 3*i + i. Suppose 3*y - w - 32 - 6 = 0, 0 = -3*y - w + 28. Solve 0 = -5*s + y + u for s. 5 Let n = 117 + -115. Solve -4*l + 4 = -n*l for l. 2 Suppose -3*i = -19 - 11. Suppose -4*r + 3 = -5. Let o be -1 - (0 + -1)/1. Solve o = 3*a - i - r for a. 4 Let m(q) = -5*q - 1. Let p be m(-4). Suppose 4*f + p = 55. Solve 4*v - v = -f for v. -3 Let z = 39 - 23. Solve -g - z = -5*g for g. 4 Let s(i) = 0*i + 2*i - 11 - i**3 - 3*i - 11*i**2. Let f be s(-11). Solve 3*d + 1 - 4 = f for d. 1 Suppose 2*q + 48 = 4*p, -5*p - 3*q - 2 = -4*p. Let a = 7 - p. Let x = a + 3. Solve x = -5*y - 3 - 2 for y. -1 Let g(j) = j**2 - 6. Let n be g(0). Let u be (-3)/(n/10) + 0. Let m = 2 - 2. Solve -x = -m - u for x. 5 Let t be 2*1*(16 - 15). Solve s = t*s + 4 for s. -4 Suppose -3*y + 4*y = 5. Let z(a) = a**2 - a - 3. Let s be z(3). Suppose o = 5*d, 0*o = -s*o - 2*d. Solve v + o = y for v. 5 Let o be (21 + -6)*(-1)/(-3). Solve 0*t + 25 = -o*t for t. -5 Let d(i) = i**3 + 1 - 2*i**3 + 2 + 3*i + i**2. Let g be d(-2). Let s = g + -3. Solve -4*v + s = -v for v. 2 Let s = -4 - -3. Let c be (-2 - 0/2)*s. Solve h + c - 4 = 0 for h. 2 Let v be 0/(-1 - (0 + -2)). Suppose -5*w = -114 + 19. Let p = w + -19. Solve p = -g - v + 3 for g. 3 Let p(l) = -l**3 + 7*l**2 - 5*l - 2. Let g be p(6). Solve 8*d - g*d = 4 for d. 1 Let z be (-1 - 2)/3 - 9. Let a = 2 + z. Let y be 1/(-4) + (-162)/a. Solve -y = 3*v + v for v. -5 Let x be (9/(-12))/((-6)/24). Solve x = -3*n - 0 for n. -1 Let t = -7 - -4. Let m be (-30 + 0)*2/t. Suppose 15 + m = 5*f. Solve 0 = f*q - 3*q - 8 for q. 2 Suppose 4*o = -2*q - 2*q + 28, -3 = -q. Suppose o*b = 3*b + 20. Suppose -5*x - 4*g + 4 = -x, 5*x - 2 = -2*g. Solve 4*r + x*r = b for r. 5 Suppose -6*z + 2*z = 0. Suppose -l + 1 + 0 = z. Solve 3 - l = -o for o. -2 Let p(i) = i**2 + 5*i + 4. Let r be p(-4). Let u = r + 1. Let q be 1/(u*3/15). Solve -q*n - 17 - 3 = 0 for n. -4 Let z(a) = -a**2 - 9*a + 11. Let d be z(-10). Solve d - 6 = y for y. -5 Let j be (0 + (-1)/(-2))*90/9. Suppose -4*i + 0*i - 2*o + 4 = 0, 5*i + 4*o - 8 = 0. Solve -c + j = -i for c. 5 Suppose -3*b = -4*f - 0*f + 13, 4*f + 3*b - 19 = 0. Solve f*s - 2*s + 2 = 0 for s. -1 Let g be 2/(-8) + 18/8. Suppose -32 = -4*u - 0*s - 4*s, -3*u + 32 = 5*s. Solve g = -w + u for w. 2 Let i(d) = d**3 + 7*d**2 - 2*d + 3. Let g be i(-7). Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
r w. 4 Solve n + 25*i + 323 = 0, -994*n + 992*n - 6*i - 74 = 0 for n. 2 Solve -6*c + 3*c - 69 = 6*m, -60*m - 79 = -54*m + c for m. -14 Solve 96*i = -169*r + 172*r + 3564, 2*i - 3*r - 57 = i + 2*r for i. 37 Solve -4*p - 36 = 4*y, 142399*p - 142401*p + 30 = -2*y for y. -12 Solve -471892*d + 471895*d = 9, 3*d - 2 - 22 = -3*k for k. 5 Solve 3*v - v + 5*z - 815 = -819, 26 = -13*z for v. 3 Solve -3*m - 145 = 4*q, -2*m - 26 = -9847*q + 9832*q for m. -43 Solve 0 = -b + j + 9 + 8, 1720 = -b + 108*b + 4*j - 654 for b. 22 Solve 28*a = 4*y - 7 + 67, -4*a + 2 + 22 = 2*y for a. 3 Solve -x - 7755 = 5*b - 7770, x - 7 = -b for b. 2 Solve -126 = 28*b - n - 24, 5*b - 2*n = 0 for b. -4 Solve -3*a + 27 = 3*u, -1076 = -4*u + a - 1060 for u. 5 Solve -5*h + 6*n = -23, -15*h - 162 + 167 = -16*h - 2*n for h. 1 Solve -54*d - p - 20 = -26*d - 24*d - 5, 0 = -d - 5*p + 20 for d. -5 Solve -3*z - 15*v = 186, -128 + 58 = 5*z + 5*v for z. -2 Solve -1804*f - 269 = n - 1801*f, 3*n - 6*f - 513 = 0 for n. -5 Solve 7*v = 3*b - 26, 0 = -9*b - 47*v + 43*v + 178 for b. 18 Solve -9*h - 2*m = 6568 - 6879, -h + 27 = 4*m for h. 35 Solve -2*k = 3*r - 28883 + 28970, 4*r + 133 = 3*k for r. -31 Solve 3*z + 103 = 1849*c - 1854*c - 49, -3*z = -5*c + 112 for c. -4 Solve 0 = -z + h - 2*h - 28, -2*z + 194 - 2043 - 2911 = 170*h for z. 0 Solve -17 - 39 = -23*r + 730*t - 733*t, 25 - 6 = -3*r + 2*t for r. 1 Solve -6*s + 3*q = 63, 221*q - 217*q - 44 = 0 for s. -5 Solve -5*g + 18 = -3*t, 0*g + t + 4178 - 4162 = 5*g for g. 3 Solve -5*f - 2*r - 14 - 71 = 0, -3*r - 387 + 288 = 6*f for f. -19 Solve 3*p - 5*p + 384 = -46*n - 6*p, 2*n - 5*p - 4 + 0 = 0 for n. -8 Solve 860 + 11317 = z + 186*c + 1942, 3*z + 260 = -2*c + 7*c for z. 5 Solve 5*m - 32 = 3*b - 4*b, 3*b + 5*m = 13 + 13 for b. -3 Solve 17*a + 16*a + 5*q = -0*a + 416, -q + 5*q = -q + 20 for a. 12 Solve 12*w - 11 - 54 - 20 = 15*m + 7*w, -4*m = -4*w + 108 for m. 5 Solve 4*a - 58 = 5*x, -4*a - 54*x = 72*x - 123*x - 3 - 39 for a. 12 Solve -l - 2*l + 26 + 12 = -20*w - 4*l, w + 16*l - 30 = 0 for w. -2 Solve 4*i + i - 201 = j, -53*i + 106 = -51*i - 36*j + 10*j for i. 40 Solve 181*w - 63*w + 4*h + 38 = 63*w + 64*w, 0 = -5*w - 5*h - 15 for w. 2 Solve 4*j - 7 = 5*v + 8*j, -19*v + 3*j = -20*v + 3 for v. -3 Solve 6*w - 4*n + 42 - 5 - 39 = 0, 0 = -2*w - 2*n + 4 for w. 1 Solve -3*b + 158 = 4*a, 44*a + 297 = 49*a + 4*b + 85 for a. -4 Solve 5*i + 4*b = -155, 7068*i - b = 7067*i - 22 for i. -27 Solve -5*v - 3*z - 12*z + 339 = 329, -4*v - 1 = 3*z for v. -1 Solve -6*q + 4*q = 3*f, -4*q - 2*f = q - 6*q for q. 0 Solve 0 = -39*v - 520630*a + 520629*a - 149, 0 = -v - 4*a + 24 for v. -4 Solve -3*o - 18 = 22*u + 17, o = 2*u - 5*u - 3 for u. -2 Solve -3*p - 2*p - 36 + 19 = -267*h + 274*h, p = h + 11 for h. -6 Solve 3*u + 5 = 2*g, -15 = u - 5*g + 30 for u. 5 Solve 0 = 9*u - 108*s + 114*s - 42, 18 = -12*u + 16*u + 3*s for u. 6 Solve 2*o + 778 = 10*i, 0 = 5*i + 23589*o - 23588*o - 381 for i. 77 Solve -3*k = -3*x + 48, -10*k - 4*x + 2032 - 2038 = 0 for k. -5 Solve 11*x - 12*x + 0*q + 17 = 6*q, 3*x - q = -6 for x. -1 Solve 0 = -195898*h + 195902*h + 3*p - 23, 0 = -3*p + 15 for h. 2 Solve 17 = 63835*v - 63838*v + 5*f, 0 = -4*v + f for v. 1 Solve -2*n - 16 = u, u = 5882*n - 5886*n - 34 for u. 2 Solve 5*i + 132408 = 132438, -2*i - 4 = -4*c for c. 4 Solve -4*s + 80 = -5*k, -4*s - 4*k + 174 = 202 for s. 5 Solve 3*h + 35*p + 43*p = 82*p - 5, 0*p - 5*p = -2*h - 15 for h. 5 Solve -6*o + 6*a = -3*o + 2*a - 45, 0 = -2*o - 2*a + 30 for o. 15 Solve 5*y + z = -7, -162*y + 157*y - 19 = -3*z for y. -2 Solve 0 = n - 5*g + 8, n - 7*g + 12656804 - 12656790 = 0 for n. 7 Solve -23 = -4*u + h + 4, 98 = u + h + 17*h for u. 8 Solve -10*s = z - 5, 205 = -22*s - 4*z + 225 for s. 0 Solve 19*l - 172 = -2*q + 9, -84*l + 65 = -79*l + 4*q for l. 9 Solve 2*f = -7*y - 7*y + 16*y - 3*f + 41, -11*y = -6*f + 161 for y. -13 Solve -5433*p = 4*v - 5435*p - 30, -3*p - 2253 = -374*v for v. 6 Solve -2*b = -0*b, -8*q - 93*b + 42*b + 52*b + 288 = 0 for q. 36 Solve 395 = 5*d - 3*a, -d - 17*a = -151 - 148 + 308 for d. 76 Solve -3*y - 3*f = -102, 0 = 2*y + 10*f - 26*f + 11*f - 40 for y. 30 Solve 72*m - 236 = 2*z - 7*z, -2*m + 1 + 13 = 2*z for z. 4 Solve -29 = 10*k - 8*k + j - 9, 0 = -3*k - 3*j - 66 for k. 2 Solve -11*s = 50*n - 11*n - 14*n - 22*n - 26, -2 = s + n for s. 4 Solve -24*g - 5*u + 0*u = -2*g - 7*u + 84, 5*g + u = -22 for g. -4 Solve 2*c + 40 = 2*g, -20740*c - 10*g + 187 = -20737*c for c. -1 Solve 2*d - 4*h + 284 = 254, -9*d + 4*h + 5 = 0 for d. 5 Solve 2*o = 5*f - 38 - 84, -48 - 22 = -5*f + 49 + 11 for o. 4 Solve 3*p + 4 = -p - 2*l, -11*p - 5*l - 15593 + 15583 = 0 for p. 0 Solve -2*n - 4*l - 2067 = -1987, 3*n + 5*l = -121 for n. -42 Solve -4*p = w - 2, -9349 + 9380 = -2*w - p for w. -18 Solve -5*l + 2*l + 5*x + 92 = -l, -39*x - 698 = -6*l + 8*l + 2*l for l. 1 Solve 5667*s - 40 = 5663*s - 2*h, 3*s - 3*h - 12 = 0 for s. 8 Solve -585977*g - 4*o = -585974*g + 47, -5*o = 55 for g. -1 Solve -4*a + 3*a + 12 = 2*a, 6 = 2*b - 25*a + 15*a for b. 23 Solve -1237*j + 5*f + 33 = -1240*j, -3*j - 2*j - 22*f - 178 = 0 for j. 4 Solve 10*y - 2*r + 221 = 131, -2*y - 313 = y - 5*r for y. 4 Solve 2*q - 9*q - 2*q = -36, 4*c + 0*c = q + 8 for c. 3 Solve 2*m + 12*u - 533 = -513, m = -5*u + 9 for m. 4 Solve -5*c - 45*o + 55 = 0, 3*o - 1236 = -2*c - 1229 for c. 2 Solve 0 = 111*t - 113*t - 266*p - 450, -3*t + 115 = p + 3*p for t. 41 Solve s + 15 - 2 = 3*i - 12, -8*i - 7*s = 32*s - 41*s - 60 for i. 5 Solve 4*z - 5*f - 12 = 0, 4*f + 1112436 = -7*z + 1112406 for z. -2 Solve y + 2*m = 4, 8*m - 4 - 29 = 3*y + 2*m + 3*m for y. -6 Solve 0*h = -15*h - 5*w - 60, -5*w = 0 for h. -4 Solve 10*w + 565 = 3*o, -2241*o + 2237*o = 4*w + 252 for o. -5 Solve -2*h - 2*h = -t - 153 + 154, 2*t - 2 = 0 for h. 0 Solve -3*h + 288*d = 214*d - 888, -5*h + 36 = -3*d for h. 0 Solve 2*m - a = -124, -6*m - 49955*a - 348 = -49952*a for m. -60 Solve 153 = -m - 4*g, 1053673*g - 1053676*g = -5*m + 86 for m. -5 Solve 40*r + 35*r - 18*y - 60 = 80*r, 2*r = y + 4*y - 85 for r. -30 Solve -10689429*t - 15 = -10689428*t + b, -5*b + 51 = -4*t for t. -14 Solve 0*o + 5*v - 2*v - 7*v = 4*o - 5*o + 5, 5*v = 3*v for o. 5 Solve 3*n - 27*h - 8*h + 787 + 113 = 39*h, 2*n + 20 = h for n. -4 Solve -3*r = 6, -4*o + 30558*r - 30553*r = -114 for o. 26 Solve -124*m + 123*m - 7 = -4*o, -4*m + 8 = 11*o - 15*o for m. 5 Solve 5*r - 15 = 0, 8*p + 509*r = 505*r + 2 + 42 for p. 4 Solve -5*x + 15 + 10 = -5*g, 2726*g - 5465*g = -2735*g + 4*x + 20 for g. -5 Solve 5*q - 5*q - 5*n - 115 = -5*q, 0 = 438*n - 433*n + 25 for q. 18 Solve -3*j + 3*x - 39 - 9 = 30, -4*j = -36*x + 72 for j. -27 Solve 0 = n + 3*q - 3859 + 3703, 88*q - 17*q - 3630 = -3*n for n. 3 Solve -d - 114 = 5*q + 3*d - 0*d, 2324 = -90*q - 4*d for q. -26 Solve -5*y + 20 = 9*y - 10*y, 0 = 10*k + 3*y + 55 for k. -7 Solve 3*x + 55 = 14*n, -1955*n + 40 = -1951*n + 4*x for n. 5 Solve -213*p = 2*y - 6*y + 482, 63*y + 46 = 67*y + 5*p for y. 14 Solve -6*d - 142 = 81*a - 79*a, -7*d - d - 203*a + 83 = -3*d for d. -24 Solve 27637*j - 3*h = 27634*j + 9, 5*h = -4*j - 24 for j. -1 Solve -146 = -4*r + 3*n + 37, 105*n + 198 = 4*r + 107*n for r. 48 Solve 76 = 4*b, 10*w + 2 = -2568*b + 1291*b + 1281*b - 24 for w. 5 Solve -210 = 74*v - 4*k - 8, 83*k - 79*k + 23 = -v for v. -3 Solve -46*d + 2*f = -49*d + 11, -d - 3*f + 79 = -0*d + 73*f for d. 3 Solve -d - 4*u - 5*u = -11*u + 3, -9*d + 10*d + 15 = -10*u for d. -5 Solve 10*n + n = -11*n + 405 + 343, 6*s - s + 180 = 5*n for s. -2 Solve 34*v = -2*w + 40, -2*v - 15 = 2*v - 11*w + 14 for v. 1 Solve g = -5*w + 56 - 80, 5*w = 33*g - 17 - 37 - 4 for g. 1 Solve 3394 = 245*n - 4*z + 928, -n + 4*z + 26 = 0 for n. 10 Solve 0 = -5*o + 10, 80785*o = -2*p + 80778*o + 12 for p. -1 Solve -3*w - m + 26 = 0, -2471 + 2483 = -4*w + m for w. 2 Solve -44*k - 132 = -2*h - 33*k, 4*h - k - 19 = -2 - 5 for h. 0 Solve 4*l + 3 = -v, 0 = -v - 929*l + 928*l - 3 for v. -3 Solve -20 = 5*t, -f + 184040*t = 184039*t - 2 for f. -2 Solve -5*z + 47 = -8*n, -z + 623034 = 3*n + 623066 for z. -5 Solve -9*s = -14*s + 5*p + 55, -s - 3*s + 1260 = p + 1281 for s. -2 Solve 0 = -7*q + 8 + 6, 460 = -j + 5*q + 450 for j. 0 Solve -v - v + 4*v + 6 = 0, -5*s + v - 10 + 16 = -17 for s. 4 Solve 0 = 4*i + 126*z + 220, 2*z + 784 = -5*i + 820 for i. 8 Solve -r = 4*o - 6 -
{ "pile_set_name": "DM Mathematics" }
.909492. Let l = 1119 - p. Let o = -0.091 - l. What is o rounded to 4 decimal places? -0.0005 Let t be 4/(-88) + (-4677464023)/(-506). Round t to the nearest one hundred thousand. 9200000 Let r = -2034 - -1231. Let w = -867.7 - r. What is w rounded to the nearest 100? -100 Let y = -36.1 - 125.9. Let k = -149.98314715 - 12.01684615. Let s = y - k. Round s to 5 dps. -0.00001 Let g = 1.5 - 2.57. Let b = 72622.1799902 + -72621.11. Let p = g + b. What is p rounded to 6 dps? -0.00001 Let o = -3254.7106057 - 6.3027043. Let w = -3261 - o. What is w rounded to 3 dps? 0.013 Let k = -1071 + 235. Let h = k - -836.00113. Round h to four dps. 0.0011 Let t = 56228 - -201507. Suppose 0 = -26*a + 24944067 - 176842957. Let v = a - t. What is v rounded to the nearest one million? -6000000 Let a be 65/6*16754 - (-20)/(-30). Suppose g - 1481481 = -a. Suppose 5*l - 4*w = -6500016, 2*l - 5*w = 3*l + g. What is l rounded to the nearest one million? -1000000 Let t = -550 + 521. Let v = t - -28.998955. Round v to 4 decimal places. -0.001 Let w = -656680300.671 - -656680742.671000507. Let d = 442 - w. Round d to seven decimal places. -0.0000005 Suppose -12*n + 39 + 9 = 0. Let w(u) = 3295*u**2 - 9*u + 16. Let z be w(n). Round z to the nearest one thousand. 53000 Let q = 1581.987842 + -1582. What is q rounded to three decimal places? -0.012 Let s = -4.575 - 741.025. What is s rounded to the nearest 10? -750 Let i = 33554 - 33722.864. Let q = i + 169. What is q rounded to two dps? 0.14 Suppose 389*w + 71*w = 426154574 + 641781426. What is w rounded to the nearest 1000000? 2000000 Let s = 805553156 - 416078321. Suppose -26*p + 50174835 - s = 0. What is p rounded to the nearest 1000000? -13000000 Let s = 81512 + -81107.81. What is s rounded to the nearest integer? 404 Let l = -3.6 - -32.6. Let z = l + -29.00001016. What is z rounded to six decimal places? -0.00001 Let w = 0.098 - 0.0979994164. Round w to 7 dps. 0.0000006 Let c = 10993979676912 + -10993979681388.999997337. Let l = c - -4477. What is l rounded to 7 decimal places? 0.0000027 Let z = -21753.9979262 + 21754. Round z to 4 decimal places. 0.0021 Let i = -16 - -19. Let t = -3.00173 + i. Round t to three decimal places. -0.002 Let o = -4476.0022956 - -4476. Round o to four dps. -0.0023 Let g = -173.6 + 68.7. Let k = -129 - g. Let f = k + 24.1000121. Round f to six decimal places. 0.000012 Let r = -435.998 + -0.002. Let f = r - -435.577. Round f to two dps. -0.42 Let b = 2278.45 + 57.55. Let v = -2336.00000977 + b. What is v rounded to 7 dps? -0.0000098 Let o = -2280.93 - -2328. Let z = -50.6 + o. What is z rounded to one dp? -3.5 Let l = 102.0823 + -102.67. Round l to one dp. -0.6 Let t = -5702.79 + 685.69. What is t rounded to the nearest 10? -5020 Let x = -0.4269618 + 0.428. What is x rounded to five decimal places? 0.00104 Let g be 29199990*6/8 + (-12)/(-24). Let m be (3 + g)/1 - -4. What is m rounded to the nearest one million? 22000000 Let g = 18258.835 + -18184. Round g to 0 decimal places. 75 Let z = 1.7614 + -0.0794. Let a = -8.592 + z. What is a rounded to one dp? -6.9 Let d = 87234.918068783 - -0.093831217. Let w = d - 87191. Let t = w + -44. What is t rounded to three dps? 0.012 Let i = -332.5 + 416. Let l = -86.027 + i. Let u = 2.34 + l. What is u rounded to 2 decimal places? -0.19 Suppose 0 = -239*q + 236*q + 1883403. Suppose 0 = -15*n + q - 33702801. Round n to the nearest 100000. -2200000 Let c = 217 + -32. Let t = c + -184.048. Round t to one dp. 1 Let a = 294.14063 + -0.04063. Let n = a - 347. Let o = -3.3 - n. What is o rounded to the nearest integer? 50 Let k = -4841.971023 - -4842. Round k to four dps. 0.029 Let y = -50 - -49.9984. Let w = y - -51.2016. Round w to the nearest integer. 51 Let j be (-10)/(-55) - ((-84448)/44)/4. Let w be (32990625/(-9))/((-3)/j). Suppose 4*i + 13*i = -w. What is i rounded to the nearest 1000000? -35000000 Let w = -2.95 - -0.95. Let u = w + -135. Let y = u - -162.8. Round y to the nearest 10. 30 Let f = -5734.7 - -5605.536. Let o = -0.164 - f. Let s = 128.999454 - o. Round s to four dps. -0.0005 Let p = 2.284139 + -0.036839. What is p rounded to 2 decimal places? 2.25 Let c be -12*(-649)/88*244/(-6). Round c to the nearest 1000. -4000 Let w = -1565.2992 - -1561.4. What is w rounded to zero dps? -4 Let v = 0.094 - 6.394. Let t = v - -2.9. Let u = -3.40055 - t. What is u rounded to 4 dps? -0.0006 Let b = 0.0118 - -0.4882. Let c = -0.500002 + b. Round c to 4 dps. 0 Let s = 3722352.9927 + -3722194. Let j = 159 - s. Round j to 3 dps. 0.007 Let g = 85 + -87.7. Let b = 1.43 + g. Let v = -1.26963 - b. What is v rounded to four dps? 0.0004 Let n = -3499 + 3498.99978499. Round n to five decimal places. -0.00022 Let c = -4.9795 - -2378.6795. What is c rounded to the nearest 10? 2370 Suppose 498297 = -11*b + 1713357. Round b to the nearest one hundred thousand. 100000 Suppose -b + 5*g = -5019865, 5*g - 7745075 - 7314660 = -3*b. Round b to the nearest 10000. 5020000 Let b = 0.033 + -0.065. Let k = 0.037 - b. Let r = -0.069000114 + k. What is r rounded to seven decimal places? -0.0000001 Let u = 3077.3 - 3238. Let w = 160.70000849 + u. What is w rounded to 6 decimal places? 0.000008 Suppose -850*m = -849*m + b + 170753, b = 2*m + 341497. What is m rounded to the nearest ten thousand? -170000 Let w(o) = o**3 + 9*o**2 + 8*o - 2. Let p be w(-7). Let q = p - 37. Suppose 5*d = -q*y - 182, -174 = 2*y + y + 3*d. Round y to the nearest ten. -50 Suppose o + 4 = -2*u, -5*o + 24 = 2*u - 3*u. Suppose 5*j - 4*p = 117, 5*p + 16 = -o*j + 85. Let h be -1809998 - 12/j*(-14)/(-4). Round h to the nearest 100000. -1800000 Let c = 0.028515 + -202.338515. Round c to the nearest integer. -202 Let x = -1.8 + 28.8. Let j = x + -60. Let c = j - -27.2. What is c rounded to zero dps? -6 Let k = -42387 - -42386.999943223. What is k rounded to 6 decimal places? -0.000057 Let d = 37 + -34. Let q = -8 - d. Let y = q + 10.9999922. What is y rounded to 6 dps? -0.000008 Let h = 359 - -1063. Let t = -1421.99347 + h. Round t to 3 dps. 0.007 Let m be (3/(-4))/(4/16). Let f be (8 - 548/(-8))/(m/148). Round f to the nearest 100. -3800 Let g = -3.402 + 3.4. Let q = 0.084 + g. Let f = 0.004 - q. Round f to 2 decimal places. -0.08 Let n(z) = -8520*z**2 - 5*z - 10. Let k be n(-58). What is k rounded to the nearest one hundred thousand? -28700000 Let p = 21825 - 21824.01. Round p to 0 dps. 1 Let t = -0.012449 - 61.963051. Let v = t + 62. What is v rounded to 3 dps? 0.025 Let i = -19507176.699986 - -19507152. Let x = i + 24.7. Round x to 5 dps. 0.00001 Let s = 211.82 + -211.93463. What is s rounded to three dps? -0.115 Let g = -0.1 - 122.9. Let n = g + 122.999717. What is n rounded to four decimal places? -0.0003 Let l = -15.2 - -2.2. Let g = -7490 - -7504.93. Let i = g + l. Round i to one dp. 1.9 Let w(u) = 4845*u - 261. Let h be w(-2). Round h to the nearest 100. -10000 Let z = -5.27715 - 0.31085. What is z rounded to 1 dp? -5.6 Let r = 7427 - 7427.345. What is r rounded to one decimal place? -0.3 Let p = -0.0099 + 17.2099. Let z = p + -26. Round z to the nearest ten. -10 Let i = -436511.5 - -436532.209656. Let k = -34.809527 + i. Let w = k + 14.1. What is w rounded to five dps? 0.00013 Let x = -0.10247 + 0.03297. Round x to 0 decimal places. 0 Suppose 64481560 = 66*a - 14*a. Round a to the nearest one hundred thousand. 1200000 Let p be (2 - (-40)/(-18)) + 4013982196/882. What is p rounded to the nearest one million? 5000000 Let d = 233793 + -1095770. Let g = -1233977 - d. Round g to the nearest 10000. -370000 Let d be 20 + -9 + 5 + -1. Let g be (-1 + d/9)/(13/(-95745)). What is g rounded to the nearest 1000? -5000 Let d = -32.614 + -921.926. Round d to zero dps. -955 Let l = -0.017 - 0.3. Let n = -0.188 - l. Let j = n - -0.366. What is j rounded to one dp? 0.5 Let g = 135.9399987282 + -135.94. What is g rounded to seven dps? -0.0000013 Let y = -12609 + 12688.13. Let a = y - 1.13. Let p = -78.0012 + a. What is p rounded to 3 dps? -0.001 Let t = -70364 - -147854. What is t rounded to the nearest one thousand? 77000 Let v = -2847456 + -3048544. What is v rounded to the nearest one million? -6000000 Let d = 4201 + -4201.000003994. What is d rounded to 7 decimal places? -0.000004 Let r(x) = 928*x + 28. Let h be r(14). Let
{ "pile_set_name": "DM Mathematics" }
3 + 24*k**2 - 32*k. Factor y(d). (d + 12)*(11*d - 2)**2 Let o(i) be the third derivative of 0*i - 1/20*i**5 - 9*i**2 - 8*i**3 + 0 + i**4. Factor o(w). -3*(w - 4)**2 Let c(m) = 2*m**2 + 20*m + 18. Let a be c(-13). Factor 245*r**4 + a*r**2 - 2*r**2 - 385*r**3 - 20*r + 66*r**2. 5*r*(r - 1)*(7*r - 2)**2 Let v(n) be the first derivative of -6*n - 7/2*n**3 + 3*n**2 - 3 + 5/4*n**4. Let z(f) be the first derivative of v(f). Factor z(j). 3*(j - 1)*(5*j - 2) Let k(g) = g**2 + 23*g + 46. Let f be k(-21). Let s be (-8)/f + 0 + 5 + 0. Solve -6/7*c**2 + 4/7*c + 0 + 2/7*c**s = 0 for c. 0, 1, 2 Factor 13*h**2 + 51822*h - 51822*h + h**3. h**2*(h + 13) Let o be 24/14 + -2 + 96/42. Let a = -8 + 11. Determine t so that -1/5*t**o + 1/5*t**a + t**4 + 3/5*t**5 + 0 + 0*t = 0. -1, 0, 1/3 Let r be (-1)/(1/(-8)) + 15 + -19. Solve -5*o**4 + o**r - 13*o**2 - 10*o**2 + 128*o + 32*o**3 - 73*o**2 - 64 = 0. 2 Suppose -873 - 102 = -5*t + 5*b, -5*t + 2*b + 978 = 0. Let 4*j - 202 + 3*j**2 - j + 0*j + t = 0. What is j? -2, 1 Let b(f) be the third derivative of -f**6/320 + f**5/80 + f**4/4 - 2*f**3 - 220*f**2. Let b(u) = 0. What is u? -4, 2, 4 Let a(s) be the second derivative of -3/2*s**2 + 3 - s**3 - 5/16*s**4 + 3*s - 3/80*s**5. Find c, given that a(c) = 0. -2, -1 Suppose 0 = -6*a - 42 + 42. Let x be (1 + a)*(-1 + -2 + 3). Factor x + 2/7*i**3 + 0*i + 2/7*i**2. 2*i**2*(i + 1)/7 Let o = -585858674/511 - -1146495. Let n = 3/73 + o. Let -20/7*c**2 - n - 18/7*c = 0. Calculate c. -1/2, -2/5 Let w(r) = 2*r**2 - 50*r - 40. Let t be w(26). Factor 14/3*u**4 + 2/3*u**5 + 44/3*u**2 + t*u**3 + 2 + 26/3*u. 2*(u + 1)**4*(u + 3)/3 Let -159*s - 217*s**4 + 223*s**4 - 2*s**5 - 24*s**2 + 16*s**3 + 127*s = 0. What is s? -2, -1, 0, 2, 4 Let a(q) be the first derivative of q**4/2 + 46*q**3 + 1155*q**2 - 2450*q - 273. Find u such that a(u) = 0. -35, 1 Let 16/3*l**4 + 8/3*l - 145/3*l**2 + 3 - 128/3*l**3 = 0. What is l? -1, -1/4, 1/4, 9 Find i, given that 22/7 + 26/7*i**2 - 2/7*i**3 - 46/7*i = 0. 1, 11 Let w(j) = 6*j**2 - 6*j + 3. Let h(t) = -t**3 + 19*t**2 - 16*t + 8. Let o(m) = 3*h(m) - 8*w(m). Factor o(l). -3*l**2*(l - 3) Let g(w) = -2*w**2 + 27*w + 29. Let a(p) = p**2 - 1. Let m(u) = -a(u) + g(u). Solve m(r) = 0 for r. -1, 10 Let t = 50 + -48. Solve w**4 + 26*w**2 + w**3 - 26*w**t = 0. -1, 0 Let g = 193 - 193. Let m(k) be the second derivative of 0 + 1/30*k**5 + g*k**2 + 0*k**3 + k - 1/6*k**4. Factor m(b). 2*b**2*(b - 3)/3 Let t(q) be the first derivative of -1/21*q**3 + 41 - 8/7*q**2 - 64/7*q. Determine o, given that t(o) = 0. -8 Let j(a) = -35*a**2 - 104*a + 8. Let l(z) = -35*z**2 - 105*z + 10. Let o(c) = -5*j(c) + 4*l(c). Factor o(w). 5*w*(7*w + 20) Let g(w) = -8*w**4 - 12*w**2 + 8*w - 12. Let r(y) = -6*y**4 - 12*y**2 + 8*y - 10. Let v(x) = 5*g(x) - 6*r(x). Suppose v(f) = 0. Calculate f. -2, 0, 1 Suppose -120*t - 297 = -897. What is s in -6/5*s + 0 - 1/5*s**t + s**2 + 7/5*s**3 - s**4 = 0? -6, -1, 0, 1 Let v be (-4)/25 + -2 - (-18 - -15). Let r(u) be the first derivative of 3*u**3 + 3/10*u**2 + v*u**5 + 57/20*u**4 + 10 - 6/5*u. Suppose r(h) = 0. Calculate h. -1, 2/7 Let d(m) = 4*m**3 + 16*m**2 - 32*m + 2. Let r(x) = -9*x**3 - 33*x**2 + 62*x - 5. Let f(u) = -5*d(u) - 2*r(u). Factor f(i). -2*i*(i - 2)*(i + 9) Let k(b) be the first derivative of -b**6/30 + 2*b**5/25 + b**4/4 - 2*b**3/3 - 2*b**2/5 + 8*b/5 - 228. Determine t so that k(t) = 0. -2, -1, 1, 2 Let o = 3/7958 - -700265/103454. Factor 50/13*t**4 + 8/13 - 220/13*t**3 - o*t + 282/13*t**2. 2*(t - 2)**2*(5*t - 1)**2/13 Let y(o) be the third derivative of o**7/2520 - o**4/8 + 21*o**2. Let v(g) be the second derivative of y(g). Factor v(x). x**2 Let i = -57658/27 - -2136. Let r(s) be the first derivative of 4/9*s - 1 + i*s**3 - s**2. Find m, given that r(m) = 0. 2/7, 1 Let r be -2 + 4/(20/15). Let q(x) be the first derivative of 0*x**2 - 1/12*x**3 + r + 0*x. Find j such that q(j) = 0. 0 Let i be 4*4/(-32)*6*11. Let r be 1 - (-2 + i/(-15)). Factor -2/5*k**3 - r*k**2 + 1/5 + 2/5*k + 3/5*k**4. (k - 1)**2*(k + 1)*(3*k + 1)/5 Let w(u) be the second derivative of -u**4/4 - 43*u**3/2 - 63*u**2 - 3*u - 4. Factor w(i). -3*(i + 1)*(i + 42) Let m = 86/285 + 3/95. Suppose -3*f = w - 6*f, -3*w = -5*f. Factor -m*t**2 + 1/3*t + w. -t*(t - 1)/3 Suppose 4*x - 135 - 765 = 0. Determine b, given that -61 - 45*b**3 - 375*b + x*b**2 + 61 + 3*b**4 = 0. 0, 5 Let s(a) be the third derivative of 0*a**3 + 4*a**2 + 1/120*a**5 + 0 + 0*a - 1/48*a**4. Solve s(c) = 0. 0, 1 Let z(v) = -3*v**3 - 69*v**2 - 66*v - 6. Let m(n) = -2. Let f(y) = -3*m(y) + z(y). Solve f(i) = 0. -22, -1, 0 Let d(g) = -g**2 + 11*g + 4. Let i be d(0). Let u(q) be the first derivative of 0*q**2 - 1/4*q**4 + 0*q**3 + i + 0*q + 1/5*q**5. Find h such that u(h) = 0. 0, 1 Determine c, given that 0 - 10/3*c**3 - 50/3*c - 35*c**2 = 0. -10, -1/2, 0 Solve 2/7*a**5 - 64/7*a**2 - 512/7*a + 0 + 510/7*a**3 + 64/7*a**4 = 0 for a. -16, -1, 0, 1 Let s(r) be the third derivative of r**8/84 + 13*r**7/105 + r**6/2 + 16*r**5/15 + 4*r**4/3 + r**3 - 14*r**2 + 5. Find z such that s(z) = 0. -3, -1, -1/2 Let g(x) be the first derivative of x**4/28 + 5*x**3/7 + 24*x**2/7 - 64*x/7 - 25. Suppose g(l) = 0. What is l? -8, 1 Let j(h) = 10*h + 140. Let w be j(-14). Let q(y) be the second derivative of -1/20*y**5 - 1/4*y**4 + 0 + w*y**2 - 4*y - 1/3*y**3. Factor q(c). -c*(c + 1)*(c + 2) Let a = 1758 + -7031/4. Let h(c) be the second derivative of a*c**2 + 1/24*c**3 - 9*c + 0 - 1/48*c**4. Find q such that h(q) = 0. -1, 2 Let x be ((-6 - -4)/4)/2*126/(-7). Factor 0 - x*y - 3/2*y**2. -3*y*(y + 3)/2 Let v be 117/520*1/4*2. Let f(s) be the third derivative of 0*s + 0 + 1/2*s**3 + v*s**5 - 3/8*s**4 + 4*s**2. Let f(y) = 0. What is y? 2/3 Let r = -378 + 378. Factor -36/5*i**3 - 8/5*i**2 + r + 0*i. -4*i**2*(9*i + 2)/5 Let c(z) = 2*z**2 + 17*z - 9. Let y(x) = x - 9 + 3*x + 17*x - 3*x + 3*x**2. Let h(k) = -6*c(k) + 5*y(k). Find s such that h(s) = 0. 1, 3 Let a(r) = -2*r**3 + r**2 + r - 1. Let x(o) = 9*o**3 - 14*o**2 + 29*o - 32. Let s(w) = -20*a(w) - 5*x(w). Factor s(j). -5*(j - 4)*(j - 3)**2 Solve 57*h - 18*h**2 - 36 - 46*h**2 + 3*h**3 + 40*h**2 = 0 for h. 1, 3, 4 Let r(d) be the second derivative of 2*d**3 + 12*d**2 + 0 - 3/20*d**5 - 3/2*d**4 + 1/10*d**6 + 6*d. Factor r(t). 3*(t - 2)**2*(t + 1)*(t + 2) Suppose -36 = 6*m - 0*m. Let f be ((-1)/6)/(m/12). What is h in 4/3 - h**2 + 0*h - f*h**3 = 0? -2, 1 Let y(l) be the first derivative of 3*l**5/5 - 3*l**4/4 - l**3 + 3*l**2/2 + 84. Factor y(h). 3*h*(h - 1)**2*(h + 1) Let a(w) be the first derivative of 3*w**4/2 - 140*w**3/3 + 988*w**2/3 + 5776*w/3 - 197. Solve a(v) = 0. -2, 38/3 Solve f**3 - f - 1/2*f**4 + 0*f**2 + 1/2 = 0 for f. -1, 1 Let a(i) = -4*i**3 + 90*i**2 - 96*i + 46. Let p(g) = -g**3 + 7*g**2 + g - 1. Let y(v) = a(v) - 6*p(v). Suppose y(q) = 0. Calculate q. -26, 1 Let g(b) be the second derivative of -24*b - 4/15*b**6 + 0*b**4 + 0*b**3 + 1/21*b**7 + 0*b**2 + 0 + 2/5*b**5. Let g(m) = 0. Calculate m. 0, 2 Let r(x) = -3*x**3 - 15*x**2 - 7*x + 7. Let a(t) = t**3 + 7*t**2 + 3*t - 3. Let l(i) = 14*a(i) + 6*r(i). Factor l(g). -4*g**2*(g - 2) Let c(f) be the first derivative of 2*f**5/15 + 5*f**4/9 + 2*f**3/3 + 2*f**2/9 - 159. Suppose c(a) = 0. What is a? -2, -1, -1/3, 0 Suppose -14*p + 8 = -12*p. Let -6*d**3 + 6*d - d**2 - 6*d**2 + 0*d**p + 5*d**2 + 2*d**4 = 0. Calculate d. -1, 0, 1, 3 Let o(h) be the first derivative of -5*h**4/4 - 5*h**3 + 20*h - 243. Determine c so that o(c) = 0. -2, 1 Let h(l) = l**2 - 3*l. Let z be h(2). Let p be z/12 - (-57)/18. Factor -p*q**2 + 8*q - 4*q - 3*q**2 - 22*q**3 + 4*q**3. -2*q*(3*q - 1)*(3*q + 2) Let c(f) be the second derivative of f**6/210 - 29*f**5/140 - 27*f**4/14 - 134*f**3/21 - 68*f**2/7 + 739*f. Factor c(y). (y - 34)*(y + 1)*(y + 2)**2/7 Let o(a) be the third derivative of a**11/332640 + a**10/151200 - a**9/30240 - 3*a**5/20 - 6*a**2. Let j(c) be the third derivative of o(c). Solve j(p) = 0. -2, 0, 1 Let g be ((-2)/(-21))/((-135)/(-5040)). Let u(w) be the first derivative of 4/3*w**2 + 0*w - 10 + 2/5*w**5 + 13/6*w**4 + g*w**3. Factor u(r). 2*r*(r + 2)**2*(3*r + 1)/3 Let f = -2130/67 + 15178/469. Factor f*t**3 + 2/7 + 0*t**2 - 2/7*t**4 - 4/7*t. -2*(t - 1)**3*(t + 1)/7 Let m(c) be the first derivative of -2/7*c**3 + 10 + 0*c + 2/7*c**2 + 0*c**4 + 2/35*c**5
{ "pile_set_name": "DM Mathematics" }
inutes before 6:07 AM? 6:37 PM What is 77 minutes before 10:38 AM? 9:21 AM How many minutes are there between 11:24 PM and 3:22 AM? 238 What is 223 minutes before 5:41 AM? 1:58 AM What is 586 minutes before 9:33 PM? 11:47 AM What is 677 minutes after 10:51 AM? 10:08 PM How many minutes are there between 9:37 AM and 2:20 PM? 283 How many minutes are there between 12:38 AM and 9:18 AM? 520 How many minutes are there between 1:08 PM and 12:33 AM? 685 What is 41 minutes after 6:14 PM? 6:55 PM How many minutes are there between 1:43 PM and 12:30 AM? 647 How many minutes are there between 2:43 PM and 8:14 PM? 331 How many minutes are there between 9:45 AM and 8:45 PM? 660 What is 697 minutes before 9:34 PM? 9:57 AM How many minutes are there between 3:37 PM and 1:07 AM? 570 How many minutes are there between 8:42 PM and 9:22 PM? 40 What is 315 minutes before 3:23 AM? 10:08 PM What is 676 minutes after 5:50 AM? 5:06 PM How many minutes are there between 1:57 AM and 4:36 AM? 159 What is 463 minutes after 7:47 AM? 3:30 PM How many minutes are there between 6:03 PM and 9:54 PM? 231 What is 607 minutes after 11:11 AM? 9:18 PM How many minutes are there between 8:26 AM and 6:15 PM? 589 How many minutes are there between 10:00 AM and 9:48 PM? 708 How many minutes are there between 9:27 AM and 3:08 PM? 341 What is 304 minutes before 9:17 PM? 4:13 PM What is 456 minutes after 12:11 AM? 7:47 AM How many minutes are there between 11:15 PM and 10:46 AM? 691 How many minutes are there between 3:44 AM and 4:38 AM? 54 What is 88 minutes before 11:13 PM? 9:45 PM How many minutes are there between 7:03 AM and 4:55 PM? 592 How many minutes are there between 11:33 PM and 6:04 AM? 391 What is 432 minutes before 8:06 AM? 12:54 AM How many minutes are there between 8:11 AM and 8:20 AM? 9 How many minutes are there between 8:12 PM and 2:28 AM? 376 What is 35 minutes before 9:39 PM? 9:04 PM What is 617 minutes before 12:02 AM? 1:45 PM How many minutes are there between 10:07 AM and 5:54 PM? 467 What is 324 minutes after 11:45 PM? 5:09 AM What is 424 minutes before 7:42 AM? 12:38 AM What is 2 minutes before 7:29 AM? 7:27 AM What is 492 minutes after 5:00 PM? 1:12 AM What is 141 minutes before 2:00 AM? 11:39 PM How many minutes are there between 12:07 PM and 9:26 PM? 559 What is 260 minutes after 5:55 PM? 10:15 PM What is 235 minutes before 9:26 AM? 5:31 AM What is 71 minutes before 5:44 PM? 4:33 PM How many minutes are there between 4:55 PM and 11:07 PM? 372 What is 488 minutes after 3:22 AM? 11:30 AM What is 679 minutes after 8:40 PM? 7:59 AM How many minutes are there between 1:45 AM and 6:05 AM? 260 How many minutes are there between 10:04 PM and 12:42 AM? 158 What is 35 minutes before 6:58 PM? 6:23 PM How many minutes are there between 12:44 AM and 1:25 AM? 41 What is 54 minutes before 10:01 PM? 9:07 PM How many minutes are there between 10:51 PM and 10:19 AM? 688 How many minutes are there between 11:40 PM and 11:51 PM? 11 What is 401 minutes after 4:57 PM? 11:38 PM How many minutes are there between 10:03 AM and 5:01 PM? 418 What is 42 minutes after 9:02 PM? 9:44 PM What is 107 minutes before 2:57 PM? 1:10 PM How many minutes are there between 4:16 AM and 9:20 AM? 304 How many minutes are there between 5:04 AM and 8:47 AM? 223 What is 682 minutes after 3:59 AM? 3:21 PM What is 589 minutes before 3:27 AM? 5:38 PM How many minutes are there between 4:18 AM and 5:49 AM? 91 How many minutes are there between 2:24 AM and 2:36 AM? 12 What is 670 minutes before 9:25 PM? 10:15 AM What is 514 minutes before 3:02 PM? 6:28 AM What is 103 minutes before 3:37 PM? 1:54 PM What is 176 minutes before 11:35 AM? 8:39 AM How many minutes are there between 10:22 PM and 8:46 AM? 624 How many minutes are there between 3:06 AM and 2:39 PM? 693 What is 331 minutes before 11:50 AM? 6:19 AM What is 76 minutes before 7:45 AM? 6:29 AM What is 504 minutes after 6:31 PM? 2:55 AM How many minutes are there between 8:35 AM and 2:00 PM? 325 What is 661 minutes after 10:41 AM? 9:42 PM How many minutes are there between 8:36 PM and 8:20 AM? 704 How many minutes are there between 2:28 PM and 12:12 AM? 584 What is 405 minutes after 2:27 AM? 9:12 AM What is 699 minutes before 7:43 AM? 8:04 PM How many minutes are there between 10:30 PM and 7:39 AM? 549 How many minutes are there between 7:43 AM and 2:44 PM? 421 What is 128 minutes after 3:53 PM? 6:01 PM What is 250 minutes before 10:51 AM? 6:41 AM What is 526 minutes before 7:07 PM? 10:21 AM What is 652 minutes before 9:52 PM? 11:00 AM How many minutes are there between 3:12 AM and 8:12 AM? 300 What is 96 minutes before 1:47 PM? 12:11 PM What is 439 minutes before 3:00 AM? 7:41 PM How many minutes are there between 12:05 PM and 6:45 PM? 400 How many minutes are there between 5:47 PM and 8:11 PM? 144 What is 155 minutes before 12:26 AM? 9:51 PM What is 10 minutes before 5:08 AM? 4:58 AM What is 639 minutes after 2:38 PM? 1:17 AM What is 474 minutes before 11:39 AM? 3:45 AM What is 592 minutes before 10:01 PM? 12:09 PM How many minutes are there between 2:04 AM and 10:14 AM? 490 What is 669 minutes after 4:12 PM? 3:21 AM What is 630 minutes before 6:36 PM? 8:06 AM How many minutes are there between 10:07 PM and 10:01 AM? 714 What is 661 minutes after 9:18 PM? 8:19 AM How many minutes are there between 1:50 AM and 2:30 AM? 40 How many minutes are there between 5:27 AM and 11:11 AM? 344 What is 391 minutes after 5:30 PM? 12:01 AM How many minutes are there between 6:20 PM and 8:55 PM? 155 How many minutes are there between 11:19 AM and 8:49 PM? 570 What is 246 minutes after 1:25 PM? 5:31 PM How many minutes are there between 8:06 AM and 12:19 PM? 253 How many minutes are there between 9:08 PM and 9:52 PM? 44 How many minutes are there between 7:51 PM and 12:54 AM? 303 What is 704 minutes after 10:16 PM? 10:00 AM How many minutes are there between 9:35 AM and 4:29 PM? 414 What is 480 minutes before 12:56 PM? 4:56 AM How many minutes are there between 1:54 AM and 12:49 PM? 655 What is 612 minutes after 11:59 PM? 10:11 AM What is 203 minutes before 3:29 AM? 12:06 AM How many minutes are there between 10:39 AM and 2:52 PM? 253 What is 315 minutes before 1:45 PM? 8:30 AM How many minutes are there between 7:36 AM and 3:12 PM? 456 How many minutes are there between 1:30 PM and 7:01 PM? 331 What is 254 minutes after 9:49 AM? 2:03 PM What is 715 minutes before 1:57 AM? 2:02 PM What is 243 minutes after 9:59 PM? 2:02 AM How many minutes are there between 1:12 AM and 1:00 PM? 708 What is 264 minutes before 3:29 PM? 11:05 AM What is 420 minutes after 4:39 PM? 11:39 PM What is 270 minutes before 4:24 AM? 11:54 PM How many minutes are there between 8:00 AM and 2:38 PM? 398 How many minutes are there between 6:03 AM and 6:14 AM? 11 What is 421 minutes before 9:08 AM? 2:07 AM How many minutes are there between 6:56 PM and 11:56 PM? 300 What is 595 minutes before 3:29 AM? 5:34 PM What is 677 minutes after 2:24 AM? 1:41 PM What is 298 minutes after 12:31 AM? 5:29 AM What is 576 minutes after 9:40 AM? 7:16 PM What is 145 minutes before 12:31 PM? 10:06 AM How many minutes are there between 12:05 AM and 9:57 AM? 592 How many minutes are there between 4:47 PM and 3:48 AM? 661 What is 353 minutes after 5:52 AM? 11:45 AM How many minutes are there between 4:25 AM and 5:24 AM? 59 How many minutes are there between 3:20 AM and 7:54 AM? 274 What is 315 minutes after 1:41 AM? 6:56 AM How many minutes are there between 5:55 PM and 6:54 PM? 59 What is 111 minutes before 4:56 AM? 3:05 AM How many minutes are there between 11:17 PM and 11:23 PM? 6 How many minutes are there between 12:23 AM and 4:36 AM? 253 How many minutes are there between 10:50 AM and 6:14 PM? 444 What is 149 minutes before 5:37 PM? 3:08 PM How many minutes are there between 4:45 AM and 2:29 PM? 584 How many minutes are there between 1:55 AM and 8:09 AM? 374 What is 101 minutes before 12:50 PM? 11:09 AM How many minutes are there between 10:59 AM and 8:55 PM? 596 How many minutes are there between 6:16 PM and 2:24 AM? 488 What is 136 minutes after 2:38 AM? 4:54 AM What is 468 minutes before 11:17 PM? 3:29 PM How many minutes are there between 8:59 PM and 2:17 AM? 318 What is 680 minutes before 1:52 PM? 2:32 AM How
{ "pile_set_name": "DM Mathematics" }
a multiple of 213? False Is 874178 a multiple of 268? False Does 27 divide 8768817? True Does 96 divide 846513? False Does 12 divide 135756? True Does 211 divide 9336183? False Does 1612 divide 31445284? True Does 17 divide 132203? False Is 275911 a multiple of 123? False Does 10 divide 1167530? True Is 2009760 a multiple of 30? True Is 21 a factor of 43743? True Does 69 divide 2171361? True Is 18 a factor of 504612? True Does 48 divide 423456? True Is 118365 a multiple of 13? True Is 8 a factor of 12191200? True Is 23 a factor of 11322141? True Is 33 a factor of 104676? True Is 881076 a multiple of 51? True Does 17 divide 124638? False Is 169282 a multiple of 110? False Is 51 a factor of 105011? False Does 24 divide 282832? False Is 116891 a multiple of 81? False Is 5148 a multiple of 4? True Is 805895 a multiple of 5? True Is 948320 a multiple of 5? True Does 44 divide 144268? False Is 3646812 a multiple of 482? True Is 40388 even? True Does 28 divide 122771? False Does 16 divide 97264? True Is 304590 a multiple of 10? True Does 343 divide 226037? True Is 110016 a multiple of 32? True Is 1487 a factor of 2475855? True Does 168 divide 965943? False Does 198 divide 1035? False Does 128 divide 13715419? False Is 19 a factor of 3418863? False Does 174 divide 529? False Does 22 divide 28355250? True Is 3293112 a multiple of 57? False Is 14 a factor of 337106? True Is 65402 a multiple of 70? False Does 247 divide 74347? True Is 192 a factor of 1097856? True Does 133 divide 52453? False Does 48 divide 31839? False Does 7 divide 16628? False Does 26 divide 28900118? True Is 88948 a multiple of 148? True Is 55760 a multiple of 164? True Does 83 divide 385098? False Does 3 divide 6168? True Is 151 a factor of 754776? False Is 31 a factor of 440045? True Does 18 divide 2308770? True Is 114 a factor of 442206? True Is 124832 a multiple of 8? True Is 56 a factor of 534031? False Does 21 divide 435909? False Is 593725 a multiple of 635? True Is 513330 a multiple of 116? False Is 22807 a multiple of 210? False Is 8 a factor of 430902? False Is 1115 a factor of 7919845? True Is 40 a factor of 146840? True Is 6842540 a multiple of 20? True Is 182509 a multiple of 12? False Is 23 a factor of 50807? True Is 68 a factor of 305252? True Is 3231681 a multiple of 2? False Is 20049 a multiple of 41? True Is 12 a factor of 167588? False Is 1684476 a multiple of 611? False Does 215 divide 944280? True Is 16 a factor of 48336? True Is 12526550 a multiple of 55? False Does 101 divide 371530? False Does 41 divide 6273164? True Is 543744 a multiple of 6? True Is 226 a factor of 489232? False Is 573786 a multiple of 502? True Does 8 divide 938439? False Is 83 a factor of 67977? True Does 2 divide 64799? False Is 70 a factor of 66290? True Does 12 divide 58134? False Does 80 divide 117799? False Is 4569215 a multiple of 35? True Is 105 a factor of 8081115? True Is 103 a factor of 112345? False Is 18435690 a multiple of 9? True Is 96 a factor of 3035520? True Does 76 divide 11096? True Is 27 a factor of 2309415? False Is 134 a factor of 603094? False Does 25 divide 1426657? False Is 92 a factor of 602048? True Does 58 divide 579191? False Is 881649 a multiple of 343? False Does 21 divide 1715456? False Is 31 a factor of 410927? False Does 39 divide 408486? True Is 575164 a multiple of 4? True Is 194046 a multiple of 103? False Is 576 a factor of 1957175? False Is 305170 a multiple of 24? False Is 1431097 a multiple of 9? False Is 8 a factor of 184384? True Is 318720 a multiple of 19? False Is 13328 a multiple of 136? True Is 12 a factor of 9934139? False Is 731556 a multiple of 6? True Does 2 divide 136799? False Does 264 divide 21955178? False Is 762 a factor of 2673631? False Is 4 a factor of 4186? False Is 103 a factor of 1754365? False Is 14125800 a multiple of 10? True Is 291 a factor of 96030? True Is 98287 a multiple of 153? False Does 4 divide 145308? True Is 1300880 a multiple of 280? True Is 13 a factor of 6284356? True Is 143784 a multiple of 6? True Is 3455641 a multiple of 77? False Is 55824 a multiple of 8? True Is 9879 a multiple of 267? True Is 1513211 a multiple of 7? True Is 387 a factor of 115340? False Is 23 a factor of 6658731? False Does 51 divide 35140927? False Is 133393 a multiple of 31? True Is 24854 even? True Is 803 a factor of 365365? True Is 39025 a multiple of 81? False Does 6 divide 52750? False Is 2449328 a multiple of 133? True Is 64 a factor of 2851219? False Is 991 a factor of 4468419? True Does 28 divide 3612140? True Does 14 divide 167020? True Does 120 divide 3355518? False Is 310 a factor of 2163571? False Is 14 a factor of 1505001? False Does 6 divide 519730? False Is 62 a factor of 658809? False Is 134 a factor of 17107? False Is 987626 a multiple of 19? False Does 29 divide 16008? True Is 817 a factor of 504906? True Is 23 a factor of 210266? True Is 314743 a multiple of 141? False Does 585 divide 635469? False Is 228 a factor of 1247737? False Is 42 a factor of 625230? False Does 95 divide 19000? True Does 45 divide 1469295? True Is 3000646 a multiple of 6? False Is 653895 a multiple of 9? True Is 157556 a multiple of 119? True Is 2811989 a multiple of 16? False Does 9 divide 355231? False Is 13 a factor of 28349945? True Does 130 divide 6278350? True Is 185 a factor of 9567? False Is 15 a factor of 12420? True Is 2441168 a multiple of 1228? False Is 19 a factor of 16606? True Is 7 a factor of 225402? False Is 55636 a multiple of 28? True Is 9902984 a multiple of 91? True Is 205091 a multiple of 37? True Is 128986 a multiple of 13? True Does 9 divide 306237? False Is 125 a factor of 140483? False Does 183 divide 109839? False Is 39 a factor of 1708044? True Does 7 divide 1866320? False Is 475541 a multiple of 29? False Is 346 a factor of 2602958? True Does 26 divide 107441? False Is 370 a factor of 159840? True Is 159335 a multiple of 11? True Is 214170 a multiple of 33? True Does 10 divide 12585570? True Does 236 divide 244080? False Does 7 divide 168742? True Does 11 divide 8271? False Is 238 a factor of 229670? True Is 13 a factor of 152594? True Is 435643 a multiple of 299? True Is 491 a factor of 295091? True Does 31 divide 2852558? True Is 28500 a multiple of 4? True Is 7417 a multiple of 46? False Does 51 divide 385008? False Does 67 divide 144519? True Is 111 a factor of 3852673? False Is 3 a factor of 27984? True Is 16169 a multiple of 10? False Is 18 a factor of 13914? True Is 13873996 a multiple of 19? False Is 8939871 a multiple of 86? False Is 79 a factor of 746445? False Does 53 divide 1515693? False Is 33 a factor of 81400? False Does 316 divide 13568617? False Is 12 a factor of 91839? False Is 84568 a multiple of 682? True Is 1171558 a multiple of 5? False Is 8994193 a multiple of 21? False Is 28763 a multiple of 10? False Does 26 divide 349696? False Is 191 a factor of 1187867? False Is 1363693 a multiple of 211? True Is 1303338 a multiple of 25? False Is 171 a factor of 39159? True Does 991 divide 1866053? True Is 16 a factor of 408690? False Is 1118245 a multiple of 6? False Is 305 a factor of 127185? True Does 176 divide 1069904? True Does 41 divide 588472? False Is 14 a factor of 421078? True Is 28 a factor of 7579766? False Is 1215153 a multiple of 12? False Does 14 divide 1016400? True Is 78 a factor of 10659114? False Does 15 divide 187260? True Is 12 a factor of 10649856? True Is 704509 a multiple of 60? False Is 5620818 a multiple of 42? True Is 4719 a multiple of 3? True Is 18 a factor of 528266? False Is 548967 a multiple of 19? True Is 375430 a multiple of 24? False Is 1714885 a multiple of 47? False Does 22 divide 2140072? True Is 46 a factor of 10074? True Is 703000 a multiple of 20? True Does 597 divide 1476381? True Is 4 a factor of 1516245? False Does 96 divide 4384992? True Is 535570 a multiple of 3? False Is 433143 a multiple of 19? True Does 130 divide 38350? True Does 38 divide 19076? True Does 146 divide 11463628? True Is 3198 a multiple of 41? True Is 243 a factor of 2240460? True Is 11851005 a multiple of 635? True Is 779 a factor of 2199484? False Is 413717 a multiple of 8? False Is 81 a factor of 9059136? False Is 48352 a multiple of 4? True Does 350 divide 6907950? True Is 664755 a
{ "pile_set_name": "DM Mathematics" }
g be a(3). Let l = -9 + g. Let z = -61 + 63. What is the greatest common divisor of z and l? 2 Suppose -n - 4185 = -68*n + 22*n. Suppose -310 = -4*a - a + u, -4*a = 3*u - 248. Calculate the highest common factor of a and n. 31 Suppose 0 = 4*r + r - 160. Let q = 179 + -93. Suppose -o = -2*a + q + 38, -236 = -4*a + 5*o. Calculate the highest common factor of a and r. 32 Let v(a) = -a**3 + a - 1. Let o be v(-3). Let n be -2 + 4 + (10/(-12) - 21255/(-234)). What is the highest common divisor of n and o? 23 Suppose -2272 = 25*m - 41*m. Calculate the greatest common factor of 355 and m. 71 Suppose 69*y + 10*y - 3160 = 0. What is the highest common divisor of 128 and y? 8 Let s = 393 + -369. Calculate the greatest common divisor of s and 136. 8 Let w = -807 + 835. Suppose -2*l = 5*u - 558 - 1682, -5*u = 0. Suppose 8*a - l = 3*a. What is the highest common divisor of w and a? 28 Let q be ((-4)/6)/((-2)/144). Let v(d) = -d**2 - 10*d - 9. Let l be v(-6). Let y be 3/((-3)/(-4)) + l + -3. What is the greatest common divisor of y and q? 16 Let d(x) = 4*x + 125. Let p be d(0). What is the greatest common divisor of p and 10? 5 Let f(n) = -3*n**3 - 10*n**2 - 14*n - 25. Let z be f(-7). What is the greatest common factor of z and 34? 34 Suppose 13 = -4*k + 1. Let y be -1 + k - -2 - -23. Let q = -83 + 272. What is the greatest common factor of q and y? 21 Let c(p) = 4*p**2 - 9*p - 3. Let s be c(4). Suppose h = -4, -3*h + 1147 = 4*z - s. Calculate the greatest common divisor of 37 and z. 37 Suppose 0 = 3*k - 7*k + 1080. Calculate the greatest common divisor of 108 and k. 54 Let g(m) = m + 3. Let c be g(-3). Suppose c = 5*v + 1 - 351. Suppose h - 14 = -4. What is the highest common factor of h and v? 10 Suppose 0 = -2*f - 0*f + 8. Suppose h = -f*h. Suppose h = -3*m + 4*x + 34, 8 = -m + 5*x + 1. Calculate the highest common factor of m and 126. 18 Let x(o) = -o**3 - 3*o**2 + 3*o + 6. Let b be (-99)/21 + 6/(-21). Let m be x(b). Suppose -3*j + m = -37. Calculate the greatest common divisor of 182 and j. 26 Let g(c) = c**3 - c**2 + c + 3. Let o be g(0). Suppose o*x - 21 = -3. Let k be ((-20)/(-25))/((-6)/(-315)). Calculate the highest common divisor of x and k. 6 Suppose 0 = 109*z - 104*z - 280. Let i(u) = 8*u**3 + u - 1. Let c be (1/6)/((-6)/(-36)). Let a be i(c). Calculate the highest common divisor of a and z. 8 Let t = 210 + -150. Let z = t - 39. Let a = z - -3. Calculate the highest common divisor of a and 8. 8 Let s(b) = -8 - 16*b**2 + 21*b - 16*b**2 + 31*b**2. Let g be s(14). What is the greatest common factor of 10 and g? 10 Suppose 153 = 5*k + 12*k. Calculate the greatest common divisor of 144 and k. 9 Let m(i) = -4*i - 1. Let o = 4 + 3. Suppose 5*k + 22 = o. Let c be m(k). Calculate the highest common divisor of 22 and c. 11 Suppose 166*n - 15 = 163*n. What is the greatest common factor of n and 10? 5 Suppose 0 = -5*v + v + 108. Let p be (-15)/(-20) + (-174)/8. Let j be 126/(-2)*p/7. Calculate the highest common factor of v and j. 27 Let l = -26 + 28. Suppose i + 5*m = -3*i + 293, -5*i - l*m + 362 = 0. Calculate the greatest common divisor of i and 9. 9 Let s(r) = 3*r + 127. Let c be s(-24). Calculate the greatest common factor of 44 and c. 11 Let v(j) = -j**2 - 6*j + 3. Let s be v(-5). Suppose 3*t = 8*t - 840. Suppose -2*z + t = z. Calculate the highest common divisor of s and z. 8 Suppose 3*m = -0*m - 15, 0 = -5*t + 4*m + 220. Suppose 6*v - t = 68. What is the highest common divisor of v and 18? 18 Let q be 9 - -90*(-12)/(-8). What is the greatest common factor of 112 and q? 16 Let u = -14 - -11. Let q be -2 - (-1 - (18 + u)). Suppose -4*t + 46 = q. Calculate the greatest common factor of 64 and t. 8 Suppose 25*g - 4284 = 15216. What is the greatest common factor of g and 12? 12 Let q(t) = 40*t**2 - t + 1. Let i be q(1). Let g = 43 - 48. Let k be (-8)/10*2*g. What is the highest common divisor of k and i? 8 Let x(s) = -s**3 - 3*s**2 + 6*s. Let m be x(-5). Let w = m + -18. Suppose v = w*r - 16, 4*v - 23 = -3*r + 5*v. What is the greatest common divisor of r and 7? 7 Suppose 0 = 2*y - 1068 + 200. What is the highest common factor of y and 21? 7 Let f(j) be the first derivative of 3*j**2/2 + 1. Let t be f(3). Let v be (-84)/(-252)*-243*(-2 - -1). Calculate the greatest common factor of v and t. 9 Suppose 4*t + 5*i - 7 - 21 = 0, -5*t + 2*i + 35 = 0. Let u(b) = b**2 - 4*b + 2. Let z be u(5). Calculate the greatest common divisor of t and z. 7 Let w(l) = -l**3 - l + 5. Let b be w(0). Suppose -5*x + 2*f + 79 = 0, 3 = -x + 2*f + 22. Let g = x - 10. Calculate the highest common factor of b and g. 5 Let m = 698 - 638. Calculate the highest common factor of m and 144. 12 Let p(d) = 12*d + 8. Let t be p(5). Let b = 86 - t. What is the highest common divisor of 9 and b? 9 Suppose 14*o = 3*o - 66. Let k = 26 + o. Calculate the highest common divisor of 80 and k. 20 Let p(u) = -4*u**2 - 39*u - 13. Let z be p(-11). Let y = z - -86. What is the highest common factor of y and 12? 6 Suppose 181 = 17*f - 295. Calculate the highest common factor of f and 16. 4 Let t be 4*1*6/4. Let q(s) = 13*s**2 - 3*s + 2*s - 3*s - s**3 - 6*s**2. Let o be q(t). Calculate the greatest common factor of o and 12. 12 Suppose 2*g + 4 = -2*g + 4*i, -i - 15 = -5*g. Suppose 31 = g*j + 15. What is the greatest common factor of 6 and j? 2 Let i = 4820 + -2587. What is the highest common factor of 58 and i? 29 Let h(r) = 2*r**2 + 4*r + 9. Let i be h(7). Suppose 2*f + i = 347. Suppose m = a - 36, m + f = 2*a + a. Calculate the greatest common divisor of a and 7. 7 Suppose 0 = 1291*u - 1289*u - 48. Calculate the highest common factor of 552 and u. 24 Suppose 0 = -4*i + 406 - 302. Calculate the highest common factor of 52 and i. 26 Suppose 0 = -5*f - 103 - 197. Let v be -2 + -1 - f/6. Suppose 2*y - 5*u = y + v, -5*y + 56 = -4*u. Calculate the greatest common divisor of y and 6. 6 Let m(u) = 31*u - 3 - 14*u**2 - 13*u + 13 + 14*u - u**3. Let z be m(-16). Calculate the highest common divisor of 4 and z. 2 Suppose -2*k + k = -3*g + 97, 3*g - 98 = 2*k. Let s(d) = -7*d + 279. Let b be s(33). What is the greatest common divisor of g and b? 16 Let o = -34 + 62. Let h = -287 + 399. What is the highest common factor of o and h? 28 Let d(j) = 3*j**2 + 0*j**3 - 2*j**2 + 5*j**2 + 2*j - 9 + j**3. Let p be d(-4). Calculate the greatest common divisor of p and 90. 15 Let a be (7/14)/((-2)/(-596)). Suppose -137 = 4*x - a. Let i = 1 + 0. What is the highest common divisor of i and x? 1 Let a = -98 + 164. Calculate the highest common divisor of 18 and a. 6 Let z(w) = 165*w**2 - 9*w - 15. Let u be z(-2). What is the greatest common factor of u and 13? 13 Suppose -11*d - 12460 = -15*d. What is the highest common factor of 35 and d? 35 Let n(b) = 56*b - 20. Let h be n(7). Calculate the highest common factor of h and 24. 12 Suppose 5*p + 4*w - 134 = -35, -3*p + 3*w + 54 = 0. Let j = 105 + 104. Calculate the highest common factor of j and p. 19 Suppose 2*s + 4*v + 40 = 5*s, 0 = 3*v - 6. Let f be (8/(-6))/((-14)/2520). Suppose 8*h + f = 13*h. Calculate the greatest common factor of h and s. 16 Suppose -447 = -2*k + 5*g, -3*k - 2*g = g - 639. Suppose 0*z = 5*z - 55. Suppose 9*q = z*q - 54. What is the greatest common factor of q and k? 27 Let l(c) = c**3 - 5*c**2 - 4*c - 10. Let u be l(11). Suppose 0 = -o + 7*o - u. What is the highest common divisor of 16 and o? 16 Let t = 1617 - 1602. What is the greatest common factor of t and 35? 5 Let n(v) = 11*v**2 - 10*v**2 + 25*v - 10*v + 31. Let j be n(-14). Calculate the highest common divisor of 187 and j. 17 Suppose o - 11 = -3*d - d, 3*d - 9 = -o. Suppose d*j = -n + 3, j = -2*j. Calculate the greatest common divisor of 21 and n. 3 Suppose -30*o + 32*o + 4 = 0. Let t be o/(((-24)/(-60))/(8/(-5))). What is the greatest common divisor of 16 and t? 8 Suppose 4*r - 19 = -n + 6, 0 = 2*n + 2*r - 32. Let q be (-17)/(68/(-264)) + -2 + 1. What is the highest common factor of n and q? 13 Suppose 132 = -249*g + 251*g. What is the highest common divisor of g and 12? 6 Let k be -576*(1/3)/(31/(-93)). Calculate the greatest common divisor of k and 18. 18 Let u = 0 - -17. Let r = u - -27. Calculate the greatest common divisor of 11 and r. 11 Suppose -4*d - 537 = 61*q - 66*q, -111 = -q + 2*d. Ca
{ "pile_set_name": "DM Mathematics" }
-1 - 3 = -4*x. Let h(p) = -44*p**2 - p + 1. Let r be h(x). Let i = 91 - r. What is the hundreds digit of i? 1 Let p(x) = 99*x**3 + 44*x**2 - 17*x + 171. What is the ten thousands digit of p(7)? 3 Let b be 2670/(-24) + 3*(-1)/(-12). Let w = b - -109. What is the units digit of (-52)/((-9)/((-27)/w))? 8 Let i = -112 + 112. Suppose i = 4*t - 89 + 61. Let l(n) = 26*n - 42. What is the tens digit of l(t)? 4 Let o(i) = 181*i**2 + 9*i - 28. Let j(s) = -183*s**2 - 8*s + 25. Let t(c) = -4*j(c) - 3*o(c). What is the tens digit of t(2)? 5 Suppose -5*s + 8*s = 9. Suppose -s*a - b = -779, -9*a - 2*b = -6*a - 784. Let i = a + -81. What is the hundreds digit of i? 1 Let k be 20/15 + 354/(-9)*-92. Suppose t - 5*t - k = -4*n, -2*t - 905 = -n. What is the tens digit of n? 0 Suppose -32*i + 1734552 = 17*i + 23*i. What is the units digit of i? 1 Suppose 109 = 2*b - 5*l, 0 = b + 3*l - l - 50. Suppose -b = -8*t + 12. Suppose 368 + 240 = t*j. What is the units digit of j? 6 Let s be ((-1182)/(-3))/((-2)/(-6)). Let f = s - 412. What is the units digit of f? 0 Suppose 47*u - 15717 = 84581. What is the tens digit of u? 3 Suppose 4*f - f + 5*q + 4 = 0, f - 3*q - 8 = 0. Suppose -4*l = -2*k - f, 3*k + k - 5*l = -7. Let t = k + 15. What is the tens digit of t? 1 Let w(b) = -7617*b + 50. What is the tens digit of w(-2)? 8 Let t(s) = -58 + 67 - 4*s + 2*s + 5*s**2. Let a be t(-6). Suppose -o + 219 = 3*q, -3*q = -5*o - 0*o - a. What is the tens digit of q? 7 Let h(o) = 2*o**2 - 82*o - 2224. What is the tens digit of h(-42)? 4 Let g(h) = -h**3 + 2*h**2 + 6*h + 11. Let z be g(0). Suppose -4*x - 4830 = -z*x. What is the hundreds digit of x? 6 Let d(g) = 285*g**3 - g**2 + g - 1. Let r be d(1). Let c = r - 248. What is the tens digit of c? 3 Let o = -40155 + 43387. What is the tens digit of o? 3 Let d be 1*(-6 - -5)*1. What is the units digit of (6/12 + d)/(2/(-344))? 6 Let z be 46/(-14) - -4*(-2)/(-28). Let r(d) = -3*d**3 + 5*d**2 - 2*d - 11. What is the units digit of r(z)? 1 Let g = 50 - 76. Let v = g - -97. Let m = v - -66. What is the units digit of m? 7 Let c(a) = a**3 + 10*a**2 + 7*a - 1. Let w be c(-7). Suppose 7*u - 78 = w. Suppose -u*s + 124 = -21*s. What is the units digit of s? 1 Suppose 4*y - 4492 = -4*u, -y - 15*u = -11*u - 1123. Suppose -3*s + 15 = 0, -3*k + 2*s - 236 + y = 0. What is the units digit of k? 9 Suppose 20*a = 47*a + 17469. Let q = -603 - a. What is the units digit of q? 4 Let v = 15 - 11. Suppose 5*g = v*g + 28. What is the tens digit of (-1996)/(-14) - g/49? 4 Let r(v) = -2*v**2 + 11*v + 3. Let z be r(2). Let a(j) = 2*j**2 - 16*j - 92. What is the hundreds digit of a(z)? 2 Suppose -o - 8 = 2*t, -5*o - 4*t - 19 + 3 = 0. Let h be 3 + o - (-2 - 49). Suppose -56*l + 200 = -h*l. What is the units digit of l? 0 Let c = -1636 + 1744. Suppose 44 + 281 = -5*f. Let o = c + f. What is the tens digit of o? 4 Suppose 4*o - 32 = 12. Suppose -11 = -j - 1. Suppose -j*d - 39 = -o*d. What is the tens digit of d? 3 Let w(g) = 4467*g + 106. What is the units digit of w(4)? 4 Let j = 124705 - 64340. What is the thousands digit of j? 0 Let l(q) = q + 7. Let d be l(-7). Let s = -197 - -216. Suppose -2*b = -4*t - s + 345, d = 5*t + b - 397. What is the units digit of t? 0 Suppose 0 = 45*z - 14*z - 193285. What is the units digit of z? 5 What is the tens digit of 0 - 20/(-16) - (-102476)/16? 0 What is the thousands digit of (-419)/((-46)/9 - (-65)/(29 + -16))? 3 Suppose 2*x - 8011 = -5*o, 2*o = 2*x - 6936 - 1068. What is the hundreds digit of x? 0 Let d(h) = 99*h - 344. Let w be d(6). Let x(u) = 17*u - 2. Let p be x(-3). Let k = p + w. What is the tens digit of k? 9 Suppose 0 = -2*y - 3*t + 54382, 0*y - 4*t - 27213 = -y. What is the units digit of y? 7 Let v(y) = y**3 + 12*y**2 + 14*y + 41. Let t be v(-11). Suppose t*l = -1022 + 8110. What is the units digit of l? 6 Suppose 6 = 10*p - 24. Suppose 0 = -4*s + p*x + 23, -4*s + 5*x = 22 - 55. What is the tens digit of 1/(-4)*s*(-175 + 1)? 8 Let k = 292 + -199. Suppose 6*w - 777 = k. What is the tens digit of w? 4 Suppose 75*j - 165213 - 17712 = 0. What is the hundreds digit of j? 4 What is the units digit of 129*(2 - (-12)/(-7))*30394/52? 3 Let u = 8912 + 5697. What is the tens digit of u? 0 Let m = -10 + 18. Let s be ((-8)/10)/((-10)/(-25)). What is the tens digit of (-37)/(-1) + m/s? 3 Suppose 4*m + 7*m - 88506 = -25190. What is the tens digit of m? 5 Let v = -2016 - -3784. Let w = v + -1112. What is the tens digit of w? 5 Let x = -1250 - -1246. Let a(q) = q**3 + 4*q + 6*q**2 + 0*q**3 - 13*q. What is the tens digit of a(x)? 6 Let p = -23 - -23. Suppose d + d = -n + 14, 5*n - 3*d - 5 = p. What is the units digit of (0 - 0) + (n + 17 - -4)? 5 Suppose 7*p - 4675 = 14820. Suppose 0 = -2*a + 255 + p. What is the thousands digit of a? 1 Let v(o) = -o + 23. Let n be v(23). Let m be 1/1 + -1 - (n + -3). Suppose -4*k = -t + k + 136, 5*k + 358 = m*t. What is the units digit of t? 1 Suppose 0 = -7*k + 5*k - 1332. Let c = k - -1371. What is the hundreds digit of c? 7 Let l be (0 + 6)*((-30)/12 - -2). What is the hundreds digit of 5 - (-1 + -142 + l)? 1 Let f = -16 - -16. Suppose 4*p - 3341 + 565 = f. What is the tens digit of -6 + 616/105 + p/30? 2 Let q(o) = -o**3 - 2*o**2 + o + 14. Suppose -70 = 11*v + 29. What is the units digit of q(v)? 2 Suppose 3*w + 3*r - 24032 = 33835, -w = -4*r - 19269. What is the hundreds digit of w? 2 Let y(w) = 14*w**2 + 6*w + 99. Suppose -2*u + 37*u - 280 = 0. What is the hundreds digit of y(u)? 0 Suppose -797*u = -794*u + 3*f - 40308, 2*f - 67186 = -5*u. What is the units digit of u? 8 What is the tens digit of (-14 + 96/9)*-1038? 6 Let b(h) = h**2 - 18*h + 21. Let z be b(15). Let p be z - 0 - (0 + (3 - 2)). Let k = 39 + p. What is the tens digit of k? 1 Suppose -7*r = 300 + 50. Let b = -45 - r. Suppose x = b*x - 452. What is the units digit of x? 3 Let y = 20954 + -13917. What is the units digit of y? 7 Let p = 220 + 11862. What is the units digit of p? 2 Suppose 0 = -5*g + 8*g - s + 1, 4*g - s + 1 = 0. Let j be ((-30)/8 + g)/(4/(-16)). Let a(i) = i**3 - 17*i**2 + 36*i - 21. What is the tens digit of a(j)? 6 Let w(c) = 98*c + 801. What is the thousands digit of w(3)? 1 Suppose 0 = -3*i + 2*z + 1651, -14*z + 16*z - 2192 = -4*i. Suppose -5*f - 4*m + 2803 = 0, -6*f + 5*f + 5*m = -i. What is the hundreds digit of f? 5 Let y(x) = -109*x + 147. Let p be y(-5). Suppose 4*b + 692 = 6*b + 4*n, 2*b - p = -2*n. What is the tens digit of b? 4 What is the tens digit of (-10)/(-25) - ((-40763)/5 + 4)? 4 Let i(b) = 8*b**2 - 31*b + 80. Let q be i(3). Suppose -q*z + 39699 + 13873 = 0. What is the units digit of z? 8 Let v(f) = f**2 + 12*f - 36. Let b be v(7). Let i = -38 + b. Suppose -2*q = -2*a + 34, 6*q - i = -4*a + q. What is the tens digit of a? 1 Let k = -49129 - -80662. What is the hundreds digit of k? 5 Suppose 9*k - 198 = -63. Suppose -7*o + k*o = 40. Suppose 2*x + x = -5*r + 63, 83 = o*x + r. What is the units digit of x? 6 Suppose 873 = 2*k - 247. Suppose f - 73 = k. What is the hundreds digit of f? 6 Suppose -221536 = -5*s + 2*c, -s + c - 5*c = -44316. What is the ten thousands digit of s? 4 Suppose n = 3*n + 2*n. Suppose r - 3 = -0*r + b, n = 2*b - 4. Suppose -3*x - r*y = -379, 2*x - 2*y + 510 = 6*x. What is the units digit of x? 8 Suppose 4*g = -2*l + 28, 6*l + g = 3*l + 22. Let p be l + -2 - (17 - 16). Suppose -2*c - p*c + 4*a + 269 = 0, 3*c = 2*a + 161. What is the units digit of c? 3 Suppose 6*k = -3*k - 711. Let l be 2/11 + k/11. What is the units digit of l/((-28)/(-16)) + 203? 9 Suppose -4*r = 3*p + 156, -5*p + 0*p - 2*r = 246. What is the tens digit of (p/40)/(18/(-1485))? 9 Let b = -51775 + 95645. What is the hundreds digit of b? 8 Suppose -x - x - 5*z - 19 = 0, -3 = 3*z. Let c(h) = 17*h - 22. Let o be c(x). Let q = -77 - o. What is the units digit of q? 4 Let p(h) = h**3 + 16*h**2 - 2*h - 23. Let f be p(-16). Suppose f*l = -5*l - 910. Let y = l + 99. What is the tens digit of y? 3 Let b = 5597 - 2912. Suppose 0 = 9*s + 30 - b. What is the units digit of s? 5 Let c(z) = -z**3 + z**2 - 5*z + 4. Let i be c(0). Let g be 22/33*18/i. Suppose g*d = o - 97 - 39, -430 = -3*o - 2*d. What is the tens digit of o? 4 Suppose 5*m = 4*q - 0*m - 16, 5*q - 65 = -5*m. Let a(x) = 40 - 2*x + 2*x + 4*x. What is the uni
{ "pile_set_name": "DM Mathematics" }
1 + sqrt(11) + sqrt(11))*-6)**2. -144*sqrt(11) + 1624 Simplify sqrt(52)/(sqrt(44)/(sqrt(66)/sqrt(6))). sqrt(13) Simplify ((sqrt(80) - (sqrt(80) + 2*sqrt(80)))/sqrt(8))/(sqrt(2) - sqrt(98)*2). 2*sqrt(5)/13 Simplify 5*(sqrt(70)*-1*-2 - sqrt(70))/(sqrt(80)/sqrt(128)). 20*sqrt(7) Simplify -1 + -4*-2*sqrt(500). -1 + 80*sqrt(5) Simplify (sqrt(152) - 1*sqrt(152)*-6)/(sqrt(8) - (sqrt(8) - sqrt(16)/sqrt(2) - sqrt(8))*1). 7*sqrt(19)/2 Simplify (sqrt(78)/sqrt(2))/sqrt(3)*2. 2*sqrt(13) Simplify (sqrt(242) - (-1 + sqrt(242))**2) + -2. -245 + 33*sqrt(2) Simplify (-5*sqrt(832)*2)**2 + 2 + (sqrt(832) + -1 + sqrt(832))**2. -32*sqrt(13) + 86531 Simplify 2*((sqrt(1944)*2)/sqrt(8) + 0)**2. 1944 Simplify sqrt(140)/(sqrt(15)/sqrt(3)) + sqrt(28). 4*sqrt(7) Simplify sqrt(50)/((sqrt(80) + (sqrt(80) - (sqrt(80) + (sqrt(80)*-5 - sqrt(80)))))/sqrt(8)). sqrt(5)/7 Simplify (2 + sqrt(272))**2 + 5. 16*sqrt(17) + 281 Simplify (2*(0 + sqrt(11) - sqrt(11)))**2 + sqrt(66)/sqrt(24). sqrt(11)/2 Simplify sqrt(700) + sqrt(700)*-1*-4 + (sqrt(245)/sqrt(45))/sqrt(7). 151*sqrt(7)/3 Simplify -2 + (sqrt(75) - (sqrt(75) + 1 + 5)). -8 Simplify (sqrt(1053) + 4 + sqrt(13) + sqrt(13)*4*2)**2. 144*sqrt(13) + 4228 Simplify sqrt(19)*-2*1 - (-2 + sqrt(19) + 1 + sqrt(19)). -4*sqrt(19) + 1 Simplify (sqrt(36)/(sqrt(6)/sqrt(3)))/(sqrt(150)*3 - sqrt(150)). sqrt(3)/10 Simplify 2*-4*-2*sqrt(7) + 3. 3 + 16*sqrt(7) Simplify 1 + sqrt(18) - (sqrt(50) + -1). -2*sqrt(2) + 2 Simplify (-2*(sqrt(33) - (sqrt(132) + sqrt(33))))/(sqrt(891) - (sqrt(891) - sqrt(891)*1)). 4*sqrt(3)/9 Simplify ((sqrt(77)*2)/sqrt(7))**2 - (sqrt(88)*-2)/sqrt(8). 2*sqrt(11) + 44 Simplify ((sqrt(18)*-3)**2 - (sqrt(2) + (sqrt(6)/sqrt(48))**2))*-4. -1295/2 + 4*sqrt(2) Simplify (6*(sqrt(17) - sqrt(51)/sqrt(3)*4))**2. 5508 Simplify -4 + sqrt(45) + 3. -1 + 3*sqrt(5) Simplify -2*(sqrt(1216) + -2). -16*sqrt(19) + 4 Simplify 2 + (sqrt(208) + (sqrt(208) + sqrt(208) + sqrt(208)*1 - sqrt(208)) + sqrt(208))**2. 3330 Simplify (sqrt(65)/(sqrt(5) + sqrt(45)) - sqrt(13))**2 + sqrt(13) + -3 + -1*sqrt(13). 69/16 Simplify -3*(-1 + sqrt(5))*-3. -9 + 9*sqrt(5) Simplify (4 + sqrt(180) + 1)*6. 30 + 36*sqrt(5) Simplify (6*(sqrt(110) - (sqrt(110) + (sqrt(110)*-1 + sqrt(110) - sqrt(110)))))/(-1*sqrt(160)). -3*sqrt(11)/2 Simplify sqrt(28)/(sqrt(4) + sqrt(16)*5)*-6*-1. 6*sqrt(7)/11 Simplify 1 + (2 + sqrt(8) + sqrt(2)*-1 + -2)**2. 3 Simplify (-3*sqrt(68)/sqrt(4))**2 + 1 + (sqrt(272) + sqrt(17) + sqrt(17) - sqrt(17))**2. 579 Simplify -3 + ((0 + sqrt(252))**2 - sqrt(252)) - (sqrt(28) + (sqrt(252) + -1)**2). -4 + 4*sqrt(7) Simplify (sqrt(84) + (sqrt(84)*2 - sqrt(84)) - sqrt(84))/sqrt(12) + ((1 + sqrt(21)/sqrt(3))**2 - sqrt(7)). 2*sqrt(7) + 8 Simplify 3 + (-1*sqrt(2448))**2 + -2 + (sqrt(51)/sqrt(3) - sqrt(17))**2 + 4. 2453 Simplify sqrt(891) + -3 + -2. -5 + 9*sqrt(11) Simplify (1 + sqrt(176) + -1*sqrt(891))*2. -10*sqrt(11) + 2 Simplify (sqrt(19) + sqrt(38)/sqrt(2)*-5)*-6*-6. -144*sqrt(19) Simplify (sqrt(637) + 3 - sqrt(637))**2 - (-6*(sqrt(13) + 3 + sqrt(13)))**2. -2187 - 432*sqrt(13) Simplify sqrt(130)/(2*sqrt(10)) - (sqrt(117) + (sqrt(117)*2 - sqrt(117)) + sqrt(117))/sqrt(9). -5*sqrt(13)/2 Simplify (((1 + sqrt(162) - sqrt(162) - sqrt(162))*6 - sqrt(162)) + -2)**2. -504*sqrt(2) + 7954 Simplify ((sqrt(1088)*2 - sqrt(1088)) + -1)*3. -3 + 24*sqrt(17) Simplify (-4 + 3*sqrt(5))*2*-4. -24*sqrt(5) + 32 Simplify (3 + sqrt(13))*-3 + 3. -3*sqrt(13) - 6 Simplify -4*1*sqrt(2)*-4. 16*sqrt(2) Simplify (sqrt(5) + sqrt(5) + -1)*2 + 2. 4*sqrt(5) Simplify ((sqrt(147) - -1*sqrt(147)) + 3)**2. 84*sqrt(3) + 597 Simplify (-6*(sqrt(7) + 2) - (sqrt(7) - sqrt(70)/(sqrt(20)/sqrt(2))))*-4. 48 + 24*sqrt(7) Simplify -3 + (0 + sqrt(567) + 4)**2 + sqrt(567) + 3. 81*sqrt(7) + 583 Simplify (0 + sqrt(108) - sqrt(3))**2 + 3. 78 Simplify ((sqrt(2) - (sqrt(162)*-1 + sqrt(162))**2) + (sqrt(98)*-1)**2)*-4. -392 - 4*sqrt(2) Simplify 1*-1*(sqrt(171) + -3 - sqrt(19))**2. -85 + 12*sqrt(19) Simplify (sqrt(19) - (sqrt(1216) + sqrt(1216)*2 + sqrt(1216))**2) + sqrt(19) + 5. -19451 + 2*sqrt(19) Simplify (sqrt(68)*2*1)/(4*sqrt(144)). sqrt(17)/12 Simplify (-3 + (sqrt(19) - (sqrt(19) + -1*sqrt(1539))))**2. -54*sqrt(19) + 1548 Simplify -4 + (-5 + 4 + sqrt(19))**2. -2*sqrt(19) + 16 Simplify (sqrt(19) - sqrt(76)/(sqrt(4)*2)) + sqrt(76) + sqrt(19) + 4. 4 + 7*sqrt(19)/2 Simplify -1*sqrt(931) + (sqrt(304) + (sqrt(304) - (sqrt(304) + 0)))**2. -7*sqrt(19) + 304 Simplify sqrt(34)/((sqrt(8) - sqrt(2))*3). sqrt(17)/3 Simplify -3 + (sqrt(324)*1)/sqrt(3). -3 + 6*sqrt(3) Simplify 5 + 2*-5*sqrt(14)/sqrt(2). -10*sqrt(7) + 5 Simplify 5 + (sqrt(2700) + -1)**2. -60*sqrt(3) + 2706 Simplify ((sqrt(5) + -2)*3 + sqrt(5) + (-2*sqrt(60))/sqrt(12))**2. -24*sqrt(5) + 56 Simplify sqrt(70)/(sqrt(10) - sqrt(160))*2 - (sqrt(49)/sqrt(112) + -2)**2. -71/16 + sqrt(7)/3 Simplify (-1 + (-2*sqrt(28))/sqrt(4)*5)**2. 20*sqrt(7) + 701 Simplify -2 + -1*sqrt(1331). -11*sqrt(11) - 2 Simplify ((-2 + (sqrt(114)/sqrt(2))/sqrt(3) + 5)*-3)**2. 54*sqrt(19) + 252 Simplify (4*-1*sqrt(1100) - sqrt(1100))*6. -300*sqrt(11) Simplify (3*sqrt(1008) - sqrt(63))/(sqrt(81)/sqrt(36)). 22*sqrt(7) Simplify (4*-5*(sqrt(5) + sqrt(20) + 5 + sqrt(5) - sqrt(605)*-2))**2. 104000*sqrt(5) + 1362000 Simplify sqrt(90)/sqrt(5)*5. 15*sqrt(2) Simplify 4*((sqrt(176) - (sqrt(176)*3)**2) + 2). -6328 + 16*sqrt(11) Simplify (sqrt(57)/sqrt(3) + 1 + -4 + 0)**2. -6*sqrt(19) + 28 Simplify 5*sqrt(363) + 1. 1 + 55*sqrt(3) Simplify 0 + (sqrt(1539) + -2)**2 + 0. -36*sqrt(19) + 1543 Simplify -1 + 1*sqrt(13) - (-1 + sqrt(26)/sqrt(2)). 0 Simplify (2*sqrt(1573) - sqrt(1573)) + (sqrt(13) - 4*(sqrt(39)/sqrt(3))**2). -52 + 12*sqrt(13) Simplify (sqrt(180) - (sqrt(180) + 0 + 5 + sqrt(180)))**2*-2. -410 - 120*sqrt(5) Simplify ((0 + sqrt(612) - sqrt(612)) + sqrt(612) - sqrt(612) - sqrt(612))**2 - (sqrt(272) + 1). -4*sqrt(17) + 611 Simplify -1 + -4 + sqrt(275). -5 + 5*sqrt(11) Simplify sqrt(68) + 5 + (-1 + sqrt(68))**2. -2*sqrt(17) + 74 Simplify (((sqrt(192)/sqrt(4))/sqrt(2) + sqrt(24))/(((sqrt(288)*2 - sqrt(288)) + sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(8)))**2. 12 Simplify (sqrt(57)*2*-6)/(-2*sqrt(300) - sqrt(300)). 2*sqrt(19)/5 Simplify (-2*sqrt(132)*3)/sqrt(12) + (sqrt(704) + 0 - sqrt(704))**2 + 4. -6*sqrt(11) + 4 Simplify sqrt(80)*-2 + -3 + 5. -8*sqrt(5) + 2 Simplify (sqrt(528) - (sqrt(528) - 1*sqrt(528)*2 - sqrt(528)))/sqrt(11). 12*sqrt(3) Simplify ((-1 + sqrt(147))*5)**2. -350*sqrt(3) + 3700 Simplify (sqrt(7) + (1 + sqrt(7))**2 - sqrt(7)) + -5 - (sqrt(343) - (sqrt(343) - (sqrt(343) + 2))). -5*sqrt(7) + 1 Simplify ((-1*sqrt(1008))**2 - (0 + sqrt(700))**2)*1. 308 Simplify (4 + 2*sqrt(3)*-1)**2. -16*sqrt(3) + 28 Simplify (sqrt(49)/sqrt(28) - (sqrt(28)/sqrt(4) + -5))**2. -5*sqrt(7) + 107/4 Simplify ((sqrt(228) - sqrt(228)*-2)*4)/sqrt(12). 12*sqrt(19) Simplify 2 + sqrt(11) + (sqrt(99)*-2)**2. sqrt(11) + 398 Simplify ((sqrt(11) + sqrt(11)*2 + sqrt(11))**2 + 5)*6 + -1. 1085 Simplify -6*sqrt(19)*-4 + -5. -5 + 24*sqrt(19) Simplify 6*(sqrt(175) - (sqrt(175) + sqrt(175)*2) - ((sqrt(7) - (sqrt(112) + sqrt(7)))*-4)**2). -10752 - 60*sqrt(7) Simplify ((-4*(sqrt(152) - 1*sqrt(152)))/((2*sqrt(648) - sqrt(648)) + sqrt(648) - sqrt(648)))**2. 0 Simplify (sqrt(30)/(sqrt(36)/sqrt(6)) - (sqrt(40)/(sqrt(8)*-1) + sqrt(5)))**2. 5 Simplify sqrt(77)/sqrt(44) - -2*(sqrt(21)/sqrt(3))**2. sqrt(7)/2 + 14 Simplify 5 + (sqrt(1584) - (2 + sqrt(1584) + sqrt(1584)))*1. -12*sqrt(11) + 3 Simplify 3*(-1 + sqrt(112))**2. -24*sqrt(7) + 339 Simplify (2*sqrt(847) + sqrt(847))**2*4. 30492 Simplify sqrt(68) - (sqrt(68) + -1 + sqrt(68))*2. -6*sqrt(17) + 2 Simplify (sqrt(135)/(sqrt(15)/sqrt(3)))/(sqrt(9) - (sqrt(9) + sqrt(18)/sqrt(2))*-2). sqrt(3)/5 Simplify 4 + ((sqrt(85)*1)/sqrt(5) - (sqrt(833) - 1*sqrt(833))**2). 4 + sqrt(17) Simplify (sqrt(11) + sqrt(11)*-1)*3 + (sqrt(1331) + sqrt(1331)*-2)**2. 1331 Simplify (sqrt(76) + 0)**2 - sqrt(76) - (sqrt(931) + -1)**2. -856 + 12*sqrt(19) Simplify ((sqrt(90)/sqrt(5)*1)/(sqrt(294)*3))**2. 1/147 Simplify (-1 + sqrt(28))**2 + sqrt(7) + sqrt(7)*-2 + sqrt(7) + -3. -4*sqrt(7) + 26 Simplify (1*sqrt(65))/sqrt(5)*4. 4*sqrt(13) Simplify ((-2 + sqrt(2057) + -4 + sqrt(17) + 2 + sqrt(17))*6)**2. -3744*sqrt(17) + 104004 Simplify (sqrt(77)*1*-3)/sqrt(7). -3*sqrt(11) Simplify (sqrt(704) + (sqrt(704) + 0)*6)**2 + -2. 34494 Si
{ "pile_set_name": "DM Mathematics" }
llimeters? 300 How many minutes are there in twenty-nine sixths of a week? 48720 Convert 55124.89 centuries to decades. 551248.9 What is 6.9812226 minutes in days? 0.00484807125 Convert 669001.6 meters to centimeters. 66900160 Convert 70.47726 millennia to decades. 7047.726 How many nanograms are there in 37/2 of a microgram? 18500 What is 7/2 of a millimeter in micrometers? 3500 How many meters are there in one tenth of a kilometer? 100 What is 563818.5 centuries in decades? 5638185 How many kilograms are there in one quarter of a tonne? 250 What is three eighths of a week in hours? 63 What is 1/4 of a milligram in micrograms? 250 How many nanometers are there in 3.959752m? 3959752000 How many micrometers are there in one tenth of a meter? 100000 How many years are there in 27236.313 months? 2269.69275 What is 98013.39um in centimeters? 9.801339 How many millilitres are there in fourty-four fifths of a litre? 8800 What is 0.6689 decades in months? 80.268 Convert 72.15843nm to kilometers. 0.00000000007215843 How many litres are there in 49815.75 millilitres? 49.81575 What is 2814.733 millennia in years? 2814733 Convert 60633.84 meters to nanometers. 60633840000000 Convert 2983103.1 months to centuries. 2485.91925 What is eight thirds of a decade in months? 320 How many micrograms are there in 8/25 of a milligram? 320 Convert 0.6956167 millimeters to kilometers. 0.0000006956167 How many centuries are there in 0.455737 years? 0.00455737 What is 3/10 of a meter in millimeters? 300 How many years are there in seven halves of a century? 350 What is 42/5 of a centimeter in micrometers? 84000 How many years are there in 11/4 of a millennium? 2750 How many litres are there in 0.8323962 millilitres? 0.0008323962 What is 713.6335 tonnes in micrograms? 713633500000000 What is 86.0618ng in micrograms? 0.0860618 How many micrograms are there in 174840.3t? 174840300000000000 What is twenty-five halves of a decade in years? 125 How many kilograms are there in fifty-three fifths of a tonne? 10600 What is 21/2 of a milligram in micrograms? 10500 How many millennia are there in 0.782373 months? 0.00006519775 What is seventy-two fifths of a decade in years? 144 How many hours are there in 2506.4667 milliseconds? 0.00069624075 What is nineteen quarters of a millennium in months? 57000 What is 88/5 of a litre in millilitres? 17600 What is 8880.659ng in tonnes? 0.000000000008880659 What is six fifths of a microsecond in nanoseconds? 1200 How many minutes are there in 41/6 of a hour? 410 How many nanograms are there in 29/5 of a microgram? 5800 What is 6046.273 decades in years? 60462.73 What is 0.4055226 months in centuries? 0.0003379355 What is 914.2982 kilograms in tonnes? 0.9142982 How many kilograms are there in 27/4 of a tonne? 6750 How many millimeters are there in 15/4 of a meter? 3750 How many micrograms are there in 21/2 of a milligram? 10500 What is eleven eighths of a litre in millilitres? 1375 What is 3/40 of a litre in millilitres? 75 Convert 133520.616us to days. 0.0000015453775 How many millilitres are there in 407337.3 litres? 407337300 Convert 8.70522 kilometers to nanometers. 8705220000000 How many months are there in four thirds of a decade? 160 What is 14949.32 minutes in milliseconds? 896959200 How many decades are there in 162471.75 months? 1353.93125 What is 9295.763mm in micrometers? 9295763 Convert 8862.499 nanoseconds to seconds. 0.000008862499 How many seconds are there in 0.8122504ms? 0.0008122504 Convert 557.0806 millilitres to litres. 0.5570806 What is 18/5 of a litre in millilitres? 3600 What is 791775.9 days in milliseconds? 68409437760000 How many micrograms are there in 4.80702 grams? 4807020 How many nanoseconds are there in 3/32 of a millisecond? 93750 How many micrograms are there in 3/10 of a milligram? 300 What is 8.977537 litres in millilitres? 8977.537 What is 1/64 of a day in seconds? 1350 How many millilitres are there in 21/2 of a litre? 10500 Convert 0.9494573cm to kilometers. 0.000009494573 How many grams are there in 3/8 of a kilogram? 375 What is 6559.422 kilograms in grams? 6559422 What is 45/2 of a decade in years? 225 Convert 7.369449mg to kilograms. 0.000007369449 How many minutes are there in 13442.37 hours? 806542.2 What is twenty-one quarters of a litre in millilitres? 5250 What is 79491.48nm in kilometers? 0.00000007949148 What is 4689.43 litres in millilitres? 4689430 Convert 402.423 kilograms to tonnes. 0.402423 Convert 742.0513 hours to milliseconds. 2671384680 Convert 62.253306 nanoseconds to hours. 0.000000000017292585 How many nanograms are there in 5/8 of a microgram? 625 How many minutes are there in 5/4 of a hour? 75 How many millilitres are there in 1/4 of a litre? 250 Convert 81056.84cm to kilometers. 0.8105684 Convert 542.5852ng to tonnes. 0.0000000000005425852 Convert 3.6268 meters to millimeters. 3626.8 How many nanometers are there in 1/20 of a millimeter? 50000 Convert 13.75516kg to nanograms. 13755160000000 What is 939.6193mg in grams? 0.9396193 What is 1/30 of a day in seconds? 2880 How many meters are there in twenty-one eighths of a kilometer? 2625 Convert 51.83037 litres to millilitres. 51830.37 How many millilitres are there in 9.666326 litres? 9666.326 How many milligrams are there in 31.32572kg? 31325720 What is 41/2 of a litre in millilitres? 20500 How many centimeters are there in 86.1143m? 8611.43 How many millilitres are there in 44/5 of a litre? 8800 How many milligrams are there in one twentieth of a gram? 50 What is 4.790302 milligrams in nanograms? 4790302 How many millilitres are there in fifty-four fifths of a litre? 10800 Convert 307.4323g to kilograms. 0.3074323 What is 0.4782407 centuries in years? 47.82407 How many months are there in six fifths of a decade? 144 Convert 27.13554 millennia to months. 325626.48 How many nanograms are there in 11/4 of a microgram? 2750 Convert 85.69657 days to seconds. 7404183.648 How many centimeters are there in 853.6479um? 0.08536479 What is 155.86932 months in decades? 1.298911 Convert 0.6311456 decades to millennia. 0.006311456 What is 68701.79 millilitres in litres? 68.70179 How many seconds are there in one tenth of a minute? 6 Convert 193.8254us to nanoseconds. 193825.4 What is 1/20 of a kilogram in milligrams? 50000 How many minutes are there in one tenth of a week? 1008 Convert 2.675601 hours to seconds. 9632.1636 What is 7.394823ug in milligrams? 0.007394823 How many centuries are there in 131.07399 months? 0.109228325 How many millimeters are there in 971.609cm? 9716.09 What is 972470.8 litres in millilitres? 972470800 How many milligrams are there in 19/4 of a gram? 4750 How many tonnes are there in 241.2679 nanograms? 0.0000000000002412679 What is 1/24 of a day in minutes? 60 How many millilitres are there in 13/5 of a litre? 2600 How many kilograms are there in 72/5 of a tonne? 14400 How many millilitres are there in thirty-seven fifths of a litre? 7400 How many centuries are there in 3295.036 years? 32.95036 Convert 6027.004 micrometers to centimeters. 0.6027004 Convert 5629.404 kilometers to centimeters. 562940400 How many days are there in 26481902.4s? 306.5035 What is 3/8 of a meter in millimeters? 375 What is 47330.3 micrometers in centimeters? 4.73303 How many nanoseconds are there in thirty-four fifths of a microsecond? 6800 How many microseconds are there in twenty-seven fifths of a millisecond? 5400 What is 39739.27 millilitres in litres? 39.73927 What is 3.523845 millilitres in litres? 0.003523845 How many centimeters are there in 81/2 of a meter? 4050 How many nanograms are there in 3/8 of a microgram? 375 How many millilitres are there in 17/2 of a litre? 8500 What is 5864.1462ns in hours? 0.0000000016289295 How many millilitres are there in 42/5 of a litre? 8400 How many grams are there in 5/8 of a kilogram? 625 What is 87681.89t in kilograms? 87681890 What is 11/8 of a millimeter in micrometers? 1375 What is 11346.132 months in years? 945.511 Convert 849184.3 centuries to years. 84918430 How many centuries are there in 216179.4 millennia? 2161794 What is eleven quarters of a microgram in nanograms? 2750 What is twenty-seven halves of a millennium in decades? 1350 What is one quarter of a millennium in decades
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of k and 29? 29 Suppose -4*v - t + 38 = 0, -74*v + 79*v - 4*t = 58. Calculate the highest common divisor of v and 375. 5 Let v = -629 - -639. What is the greatest common factor of 8 and v? 2 Suppose 22 = 4*n + 6. Suppose 5*k + 30 = z, -2*z = -n*z + 3*k + 25. What is the greatest common factor of 85 and z? 5 Let m be (-922)/(-18) - (-8)/(-36). Let g(x) = x**2 + 14*x - 15. Let h be g(-16). What is the highest common factor of m and h? 17 Let d(g) = g**3 + 15*g**2 + 30*g + 16. Let p be d(-13). Let f be (54/24)/((-3)/p). Calculate the greatest common factor of f and 189. 27 Suppose -8*y + 71*y = 14742. What is the highest common factor of 162 and y? 18 Suppose 475*q = 468*q + 1890. What is the greatest common divisor of q and 432? 54 Suppose 10*z = 8*z - h + 148, -5*z + 4*h + 383 = 0. Calculate the greatest common divisor of z and 8025. 75 Let g = -3362 + 3452. Let f(z) = -5*z. Suppose -3*k + 7*k + 8 = 0. Let d be f(k). Calculate the greatest common factor of g and d. 10 Suppose -40 = -i - v, i - 5*v - 101 = -i. Suppose -23*l - 1676 + 4315 = -5273. What is the highest common divisor of i and l? 43 Let x(p) = 9*p**2 + 10*p + 13. Let o be x(-5). Calculate the greatest common divisor of 4606 and o. 94 Suppose -25 = -5*r, -3*b - 5*r - 6 + 19 = 0. Let y be (-510)/b*(4 - 48/30). Calculate the greatest common divisor of 18 and y. 18 Let n be 0 + (-2 + 8 - 3). Let x be (-3 + n)/((-6)/3). Suppose -3*m = -x*m + 5*p + 2, 4*m - p = 5. Calculate the highest common divisor of 2 and m. 1 Let z(c) = 2385*c - 94. Let a be z(2). Calculate the highest common divisor of 28 and a. 28 Let v(z) = 279*z + 11250. Let d be v(-35). What is the greatest common factor of d and 1890? 135 Suppose -141 = -u + 213. Let v be u/(-2) - (3 - 6). Let p = v + 254. Calculate the highest common divisor of 120 and p. 40 Let v(d) = 2*d**2 + 86*d - 71. Let s be v(-46). Calculate the highest common factor of 145 and s. 5 Let n be (21/(-14))/((-2)/188) - 11. Calculate the greatest common factor of 351 and n. 13 Suppose -3*j = -4*j + 103. Suppose 3*b - 6 = 0, 0*b + 91 = -3*d - b. Let u = d + j. Calculate the highest common divisor of 18 and u. 18 Suppose -3*a + 40 + 165 = j, 5*a = 9*j + 331. Suppose -2*s + 4*l + 600 = 0, -2*l + 12 = 2*l. What is the greatest common divisor of s and a? 34 Let r(a) = 111*a**2 - 4*a + 3. Let m be r(1). Suppose 23*p - 26*p = -15. Suppose p*x - 2*c - 142 = 2*x, -2*c = 10. What is the highest common factor of m and x? 22 Let x(j) = 6*j - 36. Let w be x(6). Suppose -3*o + 385 - 151 = w. Suppose u - 44 = -5. Calculate the highest common factor of o and u. 39 Let b be (-1)/(-1) + 5*1. Suppose 5*u + 3*m - 135 = -27, -3*u + 3*m = -36. Calculate the greatest common factor of u and b. 6 Let i(z) = 21*z + 52. Let l(y) = y + 2. Let b(q) = -i(q) + 2*l(q). Let n be b(-9). Calculate the greatest common factor of n and 82. 41 Suppose l + 2*c = 61, 35*c - 36*c - 3 = 0. Calculate the greatest common factor of l and 6767. 67 Let v = 32239 + -28882. Calculate the highest common divisor of 18 and v. 9 Let d be (77/44*15/(-7))/(34/(-136)). What is the greatest common factor of d and 108? 3 Let n be -6 - (-1 + -79) - -8. Suppose 2*g - 3*g + 4*t = -n, 3*g - 237 = 3*t. Calculate the highest common factor of g and 2. 2 Let p = -689 + 698. Let b = -21 - -51. Let k be ((-6)/1)/(-4 + b/p). Calculate the greatest common divisor of k and 3. 3 Suppose -265*p = -2078*p + 18130. Let f(h) = 2*h**3 + h + 1. Let c be f(-1). Let i be 5*(0 + c + 6). What is the highest common factor of i and p? 10 Let t = -228 + 226. Let n be 21 - 5 - 10/t. Let m be ((-2)/6)/((-9)/189). What is the greatest common divisor of m and n? 7 Let s(y) = 55*y + 2563. Let w be s(-40). What is the highest common factor of 1914 and w? 33 Suppose 25 = 6*b + 7. Suppose -5*s + 2*t = -22 + 8, b*t + 4 = -s. What is the highest common divisor of 16 and s? 2 Suppose -5*t = -3*f - 1773, 5*t - 1091 = 2*t - 5*f. Let z be (-6)/(-63) + 680/t. What is the greatest common factor of 34 and z? 2 Let t be (-9)/(-15) + (-2060)/(-25). Suppose 4*x - 79 = -3*d, 6*d - 3*d + 5*x = t. Calculate the highest common divisor of 42 and d. 21 Suppose 3*s = 3*v - 0*v - 12, -11 = 3*s - 2*v. Let y = 8 + s. Suppose 0 = y*w - 5*f - 65, -5*f - 68 = -5*w - f. What is the highest common divisor of w and 2? 2 Let m(i) = 13*i**3 - 6*i**2 + 5*i + 3. Let b be m(3). Let k = -58 - -103. What is the highest common divisor of k and b? 45 Suppose 3*p + 460 = -3*i - 194, -3*p - 654 = 4*i. Let w = 624 + p. What is the greatest common divisor of w and 174? 58 Let n be (40/5 - (190 - -2))*-8. What is the greatest common divisor of n and 851? 23 Suppose -3*u = 3*m + 6, -3*m - 5*u + 50 = -8*m. Let i be (-10)/65 + m/(-13)*139. What is the highest common factor of 48 and i? 16 Suppose -50*p = -28*p - 9526. Let v = p - 375. Let n = -163 + 308. What is the greatest common factor of n and v? 29 Let s = -119 + 118. Let w be 22/s*3/(-6) - -3. Calculate the highest common divisor of 98 and w. 14 Let k = -2534 + 2812. Calculate the greatest common factor of k and 4031. 139 Let c be (387/(-117) - -4)*351. Calculate the greatest common factor of c and 162. 81 Let m(a) be the third derivative of -a**6/120 + 3*a**5/20 - a**4/8 + 8*a**2 + a. Let d be m(8). What is the highest common factor of d and 200? 40 Suppose 3*f = 5*m + 263, -2*f - 2*f + 2*m + 374 = 0. Suppose -87*d + f = -84*d. Calculate the greatest common divisor of d and 12. 4 Let c be 8*(-5)/(-16)*2. Suppose 0 = c*g + 4*b - 50, 4*b = 4*g - 6*g + 32. Calculate the highest common divisor of g and 25. 1 Suppose 0 = 15*q - 5194 + 2899. What is the highest common factor of 17 and q? 17 Suppose -1270*p = -1266*p - 640. What is the greatest common factor of 20 and p? 20 Suppose 76*j - 9*j - l = 32957, 0 = 5*j - 3*l - 2439. Suppose -d + 18 = 2*w + 2*d, -4*w + 4*d = -56. Calculate the highest common factor of j and w. 12 Let v(g) = -9*g**3 + g**2. Let o(c) = -c**3 - 7*c**2 - 10*c - 1. Let b be o(-5). Let u be v(b). What is the greatest common factor of 24 and u? 2 Let b be 5/(105/834) + 16/56. Suppose -2*z + 48 = i, 3*i = z - 3*z + b. What is the greatest common factor of z and 182? 26 Suppose 6*f - 8*f = 0. Suppose 0*x + x - 2*c - 14 = f, 5*x + c = 26. Suppose x*a + 28 = 8*a. What is the greatest common divisor of 42 and a? 14 Suppose -44*o = -38*o - 12. Suppose -2*c + 5*l + 27 = 0, 3 = o*c - c + l. What is the highest common factor of c and 8? 2 Let a = 16 - 0. Let h be 510 + (-8 - (-7 - -1)). Suppose -236 = -2*m + 5*i, -17*m + i + h = -13*m. Calculate the highest common divisor of a and m. 16 Let m = 97 - 63. Suppose 20 = 2*n - 2*f + 4, -4 = n + 5*f. What is the highest common factor of m and n? 2 Let t = -455 - -474. What is the highest common factor of t and 7049? 19 Suppose -8*a = -23*a + 60. Suppose -3100 = -a*p - 27*p. What is the greatest common factor of p and 50? 50 Suppose -3*x + 192 = x. Let t(r) = 8*r + 6. Let f(n) = -2*n + 1. Let l(j) = 8*f(j) - 4*t(j). Let z be l(-1). Calculate the greatest common factor of x and z. 16 Let q(n) = -n**2 - n + 114. Let d be q(10). Suppose -d*h + 87 = h + m, 8 = 4*m. What is the greatest common factor of h and 799? 17 Suppose -15250 + 6260 = -6*w - 2*c, -3025 = -2*w + 5*c. Calculate the greatest common factor of w and 45. 15 Suppose 4*b - f - 8 = 0, -b - b - 6 = -3*f. Suppose -7*d + b*d = 1076. Let s = -181 - d. Calculate the greatest common divisor of s and 8. 8 Let p be (-4692)/(-207)*477/4. Calculate the greatest common factor of p and 51. 51 Let p = -4 + 32. Let a(l) = -l + 1. Let y(f) = -84*f**2 - 6*f. Let r(q) = 3*a(q) - y(q). Let b be r(-1). Calculate the highest common divisor of p and b. 28 Suppose -5*g + 4*x + 292 = 3*x, -4*x - 254 + 306 = 0. Let q = -12 - -317. Calculate the highest common factor of g and q. 61 Suppose 2*j = 2, -15*a + 5*j = -16*a + 13. What is the greatest common factor of a and 14? 2 Let c(h) = 167*h + 221. Let b be c(2). Calculate the highest common divisor of b and 10. 5 Let j = 9578 - 8848. What is the highest common factor of j and 55? 5 Suppose 3*y - 3*g - 3660 = 0, 13*g = -4*y + 9*g + 4880. What is the highest common divisor of 20 and y? 20 Let s be (13 + 0)*-119*(26 - 29). Calculate the greatest common factor of s and 238. 119 L
{ "pile_set_name": "DM Mathematics" }
f. -2 Suppose 3*a = 4*a - 5*j + 455, -4*a + 3*j = 1735. Let n = a - -440. Solve 3*r = f - n, -4*f + 3*r + 17 = -5 for f. 4 Let i = 112 + -94. Let y = i + -12. Solve 2*f + 2*a + 4 = -y, 3*a = -4*f - 18 for f. -3 Suppose -d + 495 = 5*a, 0 = 3*a + 2*d + 2*d - 280. Let l = -95 + a. Solve l*m - 3*x - 23 = 0, -x = 3*m - m - 7 for m. 4 Suppose -4*y - 9 = 4*l - 37, 0 = -2*y + l + 2. Suppose 5*n - y*s = 5, -2*s - 1 = -2*n - 3. Solve 4*d + 4*p = -p + 13, 17 = -n*d + p for d. -3 Let j = 67749 + -67747. Suppose 4*k - 31 = 5*i - 2*i, 2*k + 2*i - 26 = 0. Solve 3*d + 8 = 4*d + j*f, -4*f = -d - k for d. 2 Let q(x) = -2026*x - 8099. Let u be q(-4). Solve u*b - 5*y + 5 = 0, -4*b + 106*y - 109*y = 25 for b. -4 Suppose -674 = 423*c - 969 - 1397. Solve 0 = -s + c*z - 12, 1 = -2*s - 3*z - 1 for s. -4 Let r(p) = 5*p + 32. Let c be (-11 - 0) + -9 + 17. Let f be r(c). Solve 0 = -5*k + g - f, -4 = -2*g - 0 for k. -3 Let n = -14 + 17. Suppose -5*l + 29 = -4*r + 4, 2*r - 2*l = -10. Suppose r = -5*w + 5 + 15. Solve n*b = 5*a + 7, -5*a + w - 19 = -5*b for b. 4 Suppose -1663*d + 78 = -1650*d. Solve -9*f - d = 4*z - 4*f, -2*z + 3*f = 14 for z. -4 Suppose -114*w + 113*w + s = -14, 5*s - 58 = -3*w. Solve 0 = d + 2, w*c + 16 = 11*c + 2*d for c. -4 Suppose 4*f + 43*f - 141 = 0. Solve -f*b - 5*h + 0 + 9 = 0, 5*b = 5*h - 25 for b. -2 Let t(u) = u**2 - 29*u + 28. Let f be t(25). Let g = -68 - f. Let j = -18 - -22. Solve y - g*h = h - 22, -j*y - 3*h = -27 for y. 3 Let s be (46/(-10) - 1)*195/(-78). Let q be 3 + 20/(-6) - s/(-6). Solve 2*j + 2*b - q = 0, 2*b + 2*b - 1 = -j for j. 1 Suppose -s = -2*h - 11 - 3, -3*s + 10 = 2*h. Suppose -4*v + 9 = -f + s, 2*f = -6. Solve 10 = 2*u - 0*z + 4*z, v = 5*z - 10 for u. 1 Let m be (-120)/72 - (-44)/12. Solve -30*z = -m*t - 28*z + 8, 0 = -5*t + z + 12 for t. 2 Let r be (1 - 6/4)*0. Let n be 6 + -6 + 6/3. Let q be (-6 + n)/(-1 - r). Solve -h + 2 = 2*j, -3*h = -0*h + q*j - 8 for h. 4 Let j be 9 - (-8 - (3 - (1 + 5))). Solve 5*q = -20, -4*a - 2*q - 6 = j for a. -3 Let s be (44/(-12) + 1)*(-78)/(-2). Let b = -101 - s. Solve 0 = -3*o + 4*p - 0*p - b, p - 3 = 0 for o. 3 Suppose -86*s + 79*s = 658. Let j be (2/2)/((-47)/s). Let u(v) = -v**3 - 4*v**2 + 7*v - 5. Let c be u(-6). Solve 0*l + c = j*l - 5*m, -l = m - 2 for l. 5 Suppose -121*u + 8714 = 13*u - 3346. Solve 0 = 4*v - 5*q + 8, 91*v - u*v + 5*q - 23 = 0 for v. 3 Let z(f) = f**2 + 111*f + 635. Let k be z(-6). Solve 4*m + 5*g = -k, 3*m + 121*g + 18 = 122*g for m. -5 Let c(h) = -5*h + 18. Let r(d) = -5*d + 16. Let j(z) = 6*c(z) - 5*r(z). Let p be j(5). Solve 0 = p*s - 5*o + 7, o - 2 - 1 = -s for s. 1 Let v(z) = 109*z + 2003. Let m be v(-18). Solve -2*o + 44*d - 7 = m*d, -3*d + 14 = 5*o for o. 1 Let i = -191 - -193. Suppose i*z - 3*w = -w + 4, -4*w = -8. Solve 0 = 5*h - g + 10, z*h + 2 = 3*h + 5*g for h. -2 Let j(n) = 5*n - 5. Let k be j(2). Suppose -3*o = 5*c - 22, k = -2*o + 13. Let f = c + 0. Solve 3*l + y - 7 = 0, f*l = -l - 2*y + 5 for l. 3 Suppose -3 = -l + 1, 284 = 4*k - 4*l. Let s = 77 - k. Let y be (0 - -1)*(s + 0 + -2). Solve 15 = -3*c + 3*u, y = 5*u - 3 - 2 for c. -4 Suppose -193*r + 336 = -436. Solve -r = -m + 2*n, 0 = -2*m - 21*n + 18*n - 13 for m. -2 Let m = -4 - -5. Suppose -5*c + 65 = 5*g, 2*g - 5*c = 6 + 13. Let x be g/m*9/6. Solve -3*r = -3*t - x, -3 = 5*t + 3*r + 3 for t. -3 Suppose -142*g + 134*g = 136. Let o be 177/7 - 28/(-1666)*g. Solve 2*b - 7*b - 5 = -a, 2*b - o = -5*a for b. 0 Let k be (-47 + -3)*3/2. Let j = k - -77. Suppose 0*s = j*s - 6. Solve 3*d = a - 19, s*d - 15 = -5*a + 2*d for a. 4 Let s be 2/6 + (-103)/309. Solve s = 10*c - 13*c - 5*w + 17, 15 = 4*c - w for c. 4 Suppose 2*c - 2*d - 13 + 5 = 0, 5*c = -5*d - 20. Let x(m) = 2*m**2 - 2*m - 3. Let n be x(3). Let o = n + c. Solve -g - o = -v, 0*v - v = -4 for g. -5 Let v be ((-2)/8)/(10/568)*-5. Let m = v + -24. Let l = -45 + m. Solve -l*f - 15 = 5*a, -2*f + 12 = -4*a - 3*f for a. -3 Let r = 238 + -258. Let s(p) = -2*p**3 - 41*p**2 - 20*p + 5. Let g be s(r). Solve g*w = -3*l - 23, -3*w - 9 + 0 = -3*l for w. -4 Let v = -186 + 191. Suppose 4*d + v*a - 32 = 3*a, -3*d = a - 22. Solve 0 = 2*z, -d = -2*f + 3*z - 4*z for f. 3 Suppose 73*g + 92*g = 990. Solve -2*q - 12 = 4*j, -2*q = 5*j - g*q - 11 for j. -1 Suppose 339 - 105 = 117*v. Solve 3*w - 4*r + 68 = 63, -v*r - 2 = 0 for w. -3 Let g be 4 + (4 + 91)/5. Let r(c) = 11*c**2 + 3*c**2 + 10*c**2 - 27 + 4*c - g*c**2. Let q be r(4). Solve -11 = q*o - 4*m, -4*m = -1 + 5 for o. -3 Let y be ((-6)/(-11 + 14))/(-1). Solve 0 = -4*j + y*j + 6, -j + 3 = -k for k. 0 Let t = 8097 - 8093. Solve -4*x = 2*h - 4, -h - t*x + 9 = 1 for h. -4 Suppose 458 = 13*p + 250. Solve 3*u - i = -7, 2*u - p = 6*u + 2*i for u. -3 Let l be (0/(12/(-4)))/(-3)*(-500)/(-4000). Suppose h - 3*b - 2 = 3*h, 0 = 4*h + 3*b - 2. Solve -7*r + 5*f - 40 = -h*r, l = 5*r - 4*f + 35 for r. -3 Let r = 16 + -13. Suppose 2*m + m = -3*v, -r = -5*v - 2*m. Let l be 28/16 - v/(-4). Solve 4*t - 6 = 5*t - 2*h, 0 = t + l*h - 6 for t. 0 Let s = 1017 + -1016. Solve a - 7 = 3*p, 5*a + s = 8*p - 5*p for p. -3 Suppose -2*r + 362 = 358. Suppose -r*p - p = -p. Solve q - 2*l + l = p, -3*l = q + 12 for q. -3 Suppose 0 = 6*t - 2*t - 48. Let r(f) = f**2 - 21*f + 4. Let d be r(21). Suppose 8 + 20 = 2*a. Solve -m + t = 2*n + m, -n = -d*m + a for n. 2 Suppose 108 = 4*p + c - 27, 2*p + 4*c = 50. Solve 2*x + 15*f - 13*f + 18 = 0, -3*x - 5*f = p for x. -5 Let q(z) = -z**3 - 9*z**2 - 17*z - 14. Let o be q(-6). Let l = o + 24. Solve 3*f + 6 = -3*d - 12, l*d = -16 for f. -2 Let m(p) = p**3 - 16*p**2 + 8*p - 20. Let c be m(16). Suppose -c*z - 51 = -125*z. Solve -3*g + 6 = -z*h, 2*h - g = -0*g - 2 for h. 0 Let t(k) = 443*k + 3. Let n be t(0). Solve 4*m + n*d - 12 = -0*m, 4*m + 5*d = 12 for m. 3 Let m(k) = k**3 + 21*k**2 - 67*k - 6. Let z be m(3). Solve 0 = -z*d + 4*d + x + 20, 2*x = 0 for d. 4 Suppose 15*y - 19*y + 12 = -2*v, -3*y = -3*v - 9. Solve -6 = -g + r, -y*r = 5*g - 2*g + 12 for g. 1 Let p be (4/6)/((-4)/(-12)). Let g be (192/(-18))/(-8)*(-84)/(-8). Let w be 9/3 + (0 - 0). Solve -7*n - 2*z = -p*n - 23, g = w*n + z for n. 5 Suppose 12 = 3*b + 21*w - 23*w, -12 = 4*w. Solve b*j - n + 6*n = 26, -3*j = -2*n - 1 for j. 3 Suppose 2232 - 510 = 14*y. Let k = 125 - y. Solve 1 = -a + 2*z - 1, 0 = k*z + 2 for a. -4 Let a = -361 + 359. Let l be 5/a*(13 + 11)/(-12). Let i = -5 + 30. Solve -3*s + 4*x = -7*s - 36, s = -l*x - i for s. -5 Suppose 0 = 5*j + 609 + 741. Let w be j/36*(-4)/(-5). Let g be 12/10*(-10)/w. Solve -h = -2*k + k + 1, -g*h = 8 for k. -3 Let n(h) = -43*h + 421. Let v be n(9). Solve d + 22 = 5*f, -3*d + v*f - 31*f = 18 for d. -2 Suppose 174*v - 442 = 293 + 135. Solve -4*t - 8 = -2*u - 26, 2*u + 21 = v*t for t. 3 Suppose -3*h + q + 16 = 0, -4*h + 23 = -4*q + q. Suppose -h*k - 171 = o, -k - o - 66 = k. Let j = k + 37. Solve -20 = 4*b - j*x, 8*b - 4*x = 4*b - 20 for b. -5 Suppose 0 = 4*a - 12, -a + 35 + 312 = -4*y. Let q be 3120/35 + -3 - 2/14. Let d = q + y. Solve r + 4*t = -1 + 3, -3*t = d for r. 2 Suppose 0 = -2*m - 2*g + 48, 5*m - 8*m + g + 88 = 0. Suppose -m = -2*b - 2*q - 12, 3*q + 60 = 4*b. Solve -2*p - 25 = l - 7*p, b = -4*l - 2*p for l. -5 Suppose 696*d - 338*d - 347*d - 66 = 0. Solve 5 = 5*t + 5*i, 2*i = -d*t + 3*t + 1 for t. -1 Let j(q) = -53*q**2 + 634*q + 25. Let u be j(12). Let c be (2/(-6))/(-5 + 88/18). Solve 0 = -c*m - 6, -4*m + u = -3*b - 0*m for b. -3 Let c(r) = -r**2 - 90*r - 2001. Let d be c(-41). Solve -3*s - 3*o - 1 - d = 0, -7 = s + 2*o for s. 1 Let v be (1 - 4) + -1 + 17 + 0. Suppose 4*w - 2*o = 10, 5*o = 18*w - v*w - 10. Let i = 11 + -7. Solve x + i = -s, w*s - 5*x = 5 + 7 for s. -1 Let f = -168 - -171. Suppose f*s - 4*b = 32, 3*s + 4*b - 1 = -9. Solve 4 = 5*v - j - 8, -s*v = 5*j + 2 for v. 2 Suppose -484*s + 496 = -488*s. Let d = -124 - s. Solve -z + 3 = -u + 7, -z - 4*u + 21 = d for z. 1 Suppose -231*x + 2 = -230*x. Suppose 4*b + 3*p - 8 = 7, 5*p - 5 = 0. Let l be (12 + -3)/b + 0. Solve x*j - j = v + 1, -5*j + 7 = -l*v for v. 1 Let p be 10/1*1*3/6. Suppose 3*h = 2*v + 7*h - 26, 2*h = p*v - 17. Let s be (-6)/v*(-170)/51. Solve x - s*q + 9 = 0, -3 = -3*x + 4*q - 14 for x. -1 Let f = 11095 - 11095. Solve -5*p + 2*r + 10 = f, 5*r + 22 = -4*p + 30 for p. 2 Suppose 9*o = 6*o + 18. Let w(h) = -3*h**2 + 13*h + 12. Let z be w(5)
{ "pile_set_name": "DM Mathematics" }
01 PM? 709 How many minutes are there between 10:31 AM and 1:07 PM? 156 How many minutes are there between 9:47 PM and 5:58 AM? 491 How many minutes are there between 12:16 PM and 9:15 PM? 539 What is 680 minutes after 3:10 AM? 2:30 PM What is 405 minutes before 6:00 AM? 11:15 PM What is 6 minutes after 12:47 PM? 12:53 PM What is 675 minutes after 9:56 PM? 9:11 AM How many minutes are there between 1:18 AM and 10:37 AM? 559 How many minutes are there between 5:08 AM and 1:21 PM? 493 What is 525 minutes before 8:13 AM? 11:28 PM What is 153 minutes after 5:31 PM? 8:04 PM How many minutes are there between 11:23 AM and 11:27 AM? 4 What is 681 minutes before 11:50 AM? 12:29 AM How many minutes are there between 3:57 AM and 10:37 AM? 400 How many minutes are there between 5:52 AM and 12:05 PM? 373 What is 317 minutes after 8:37 PM? 1:54 AM How many minutes are there between 12:15 PM and 12:35 PM? 20 What is 584 minutes before 6:11 AM? 8:27 PM What is 549 minutes before 8:06 AM? 10:57 PM What is 530 minutes before 5:13 AM? 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{ "pile_set_name": "DM Mathematics" }
1 + 3 + -2 + sqrt(117)/sqrt(9)))**2. 52 Simplify -4*((sqrt(252) + -5 - sqrt(252)) + -5 + sqrt(252))*4. -96*sqrt(7) + 160 Simplify -4 + (sqrt(20)/sqrt(5))/sqrt(2) + (sqrt(18) + sqrt(18) + -1 - (-1*sqrt(2) + -1)**2). -8 + 5*sqrt(2) Simplify -4 + (-3 + sqrt(567))**2 + sqrt(1008) + 2. -42*sqrt(7) + 574 Simplify -2*(-5 + (3*(sqrt(637)*-1 + sqrt(637)))**2 + (sqrt(637) - (5 + sqrt(637)*-2)**2)). -294*sqrt(13) + 5156 Simplify ((sqrt(102) + (sqrt(102)*-1 - sqrt(102)) + sqrt(102))*4)/(3*sqrt(294)). 0 Simplify 1*(0 + (-1 + sqrt(252) - (sqrt(28)*-1 + sqrt(28))/sqrt(4)))**2. -12*sqrt(7) + 253 Simplify ((sqrt(91) + -2*sqrt(91) + sqrt(91))*6 - (2*sqrt(91)*2 - sqrt(91)))/(-1*sqrt(112)*-2). -3*sqrt(13)/8 Simplify (1*((1 + -1 + sqrt(325) - sqrt(325)) + sqrt(325) + (sqrt(325) + (sqrt(325) + (sqrt(325) - (sqrt(325)*2 + 3)) - sqrt(325)) - sqrt(325))))**2. 9 Simplify (-2*(sqrt(144) + sqrt(144) + sqrt(144) + sqrt(144)*-2))/(sqrt(12) - (sqrt(12) + 2*sqrt(192))). sqrt(3)/2 Simplify (-4 + (sqrt(48)/(2*sqrt(4)) - (sqrt(12) + sqrt(1728) + 2 + sqrt(12))))**2. 324*sqrt(3) + 2223 Simplify -6*sqrt(1584)*1*-4 + -3*sqrt(33)/(sqrt(3)*-2)*-4. 282*sqrt(11) Simplify sqrt(187)/(sqrt(99) - sqrt(11)) + -2 - 5*sqrt(425)*-5. -2 + 251*sqrt(17)/2 Simplify ((sqrt(54)*1)/sqrt(9))/sqrt(3) - ((1 + sqrt(32))**2*-3 + sqrt(32)). 21*sqrt(2) + 99 Simplify -6*(sqrt(77)/(sqrt(35)/(sqrt(5) + sqrt(20)/sqrt(4))) + -3). -12*sqrt(11) + 18 Simplify (sqrt(192)*1*-5 - (sqrt(192) + (sqrt(192)*-1*2)**2)) + ((2 + sqrt(192) + 1 + sqrt(192))**2 - (0 + sqrt(192) + 0)**2). -183 + 48*sqrt(3) Simplify 0 + (-5*(3 + sqrt(2)) - sqrt(2) - (-5*sqrt(14))/sqrt(7)). -15 - sqrt(2) Simplify (-6*(sqrt(176) + 2))**2 - 3*(sqrt(176) - -2*sqrt(176)). 540*sqrt(11) + 6480 Simplify (0 + 3*(2 + -3*sqrt(343) - (-3 + 3*sqrt(343) + sqrt(343) - sqrt(343))))**2. -3780*sqrt(7) + 111357 Simplify (-4*(0 + sqrt(68)) - (sqrt(68) + 0)*5)**2. 5508 Simplify -2 + 3 + (((sqrt(3888) - (0 + sqrt(3888))) + sqrt(3888) + -1)*1)**2. -72*sqrt(3) + 3890 Simplify sqrt(3)*4 + 0 + 3 + (3 + sqrt(3) + -3)**2 + 5. 4*sqrt(3) + 11 Simplify 1 + (-4 + (sqrt(56)*5)/sqrt(2))*3. -11 + 30*sqrt(7) Simplify (-2*3*sqrt(19) + -2 + 4 + 4*sqrt(76))**2. 8*sqrt(19) + 80 Simplify 2*(0 + (5 + 1*sqrt(147))**2 + 1 + 2*sqrt(147)) + 4. 168*sqrt(3) + 350 Simplify (-6*(sqrt(1100) - (sqrt(1100)*4)**2) - (sqrt(1100)*-1*-1)**2)*-4. -418000 + 240*sqrt(11) Simplify ((sqrt(110) + sqrt(110)*2)/sqrt(10) + 2)**2 + (sqrt(99)/sqrt(3) - sqrt(33))/sqrt(3)*-4. 12*sqrt(11) + 103 Simplify -2 + ((-3 + (sqrt(192) - (-1 + sqrt(192))))*-4 + 4)**2. 142 Simplify (sqrt(132)*3 - sqrt(33))/(-1*sqrt(891)). -5*sqrt(3)/9 Simplify 2*(sqrt(2160) + 2*sqrt(2160))/(sqrt(384)/sqrt(8)). 18*sqrt(5) Simplify -6*(-4*(sqrt(1377) + sqrt(1377)*-3))**2*5 + 3 + 0. -2643837 Simplify 5 + (((sqrt(343)*1 + sqrt(343))*4)**2 - sqrt(343) - ((sqrt(343) - 3*sqrt(343)) + -3)). 7*sqrt(7) + 21960 Simplify ((sqrt(833) - (2 + sqrt(833)*1 + sqrt(833))) + (0 + sqrt(833) + 4)**2)*-4. -3388 - 196*sqrt(17) Simplify (6*sqrt(540)/(-3*sqrt(9)))/(sqrt(96)/(sqrt(800) + sqrt(800) + (sqrt(800) - 1*sqrt(800)))). -40*sqrt(5) Simplify 4 + (1 + sqrt(300)*-1*-6)**2. 120*sqrt(3) + 10805 Simplify -6*(sqrt(2304) + (sqrt(2304) + (1*sqrt(2304) - sqrt(2304)))*6 + sqrt(2304))/((sqrt(12) + -2*sqrt(1728))*-4). -96*sqrt(3)/23 Simplify -3*-5*(sqrt(108)*2 + 1*sqrt(3) + 2). 30 + 195*sqrt(3) Simplify (4*(-1 + sqrt(363))*1)**2 + (sqrt(588)*-2)/(sqrt(4)*1*5). -1774*sqrt(3)/5 + 5824 Simplify (5*sqrt(432)*-4 + sqrt(432) + (sqrt(432)*2*4)**2)*5. -1140*sqrt(3) + 138240 Simplify (-2 + sqrt(48) + -1 - (-4 + sqrt(9)/sqrt(3)*-4 + sqrt(3)))**2. 14*sqrt(3) + 148 Simplify 1*(3*sqrt(3)*-2 - (sqrt(48) + (sqrt(48) - (-2 + sqrt(48)) - sqrt(48))))*4. -24*sqrt(3) - 8 Simplify ((-3*(sqrt(152)*-5 + sqrt(152)))/(sqrt(48)/(sqrt(6) + sqrt(6)*2)))**2. 24624 Simplify -1*sqrt(432)*1 + ((2 + sqrt(363))**2 - ((sqrt(3) + 2 - sqrt(3)) + 3)). 32*sqrt(3) + 362 Simplify -4*(sqrt(5) + sqrt(5) + -1) - (5 + sqrt(20)/sqrt(4) + sqrt(5)) - ((-2 + sqrt(80) - sqrt(5)) + sqrt(15)/(1*sqrt(3))). -14*sqrt(5) + 1 Simplify ((-1*3*sqrt(65) - sqrt(65))/(sqrt(45)/(sqrt(54)/sqrt(6))))**2*-2. -416 Simplify (sqrt(27) + sqrt(3))*6 - (sqrt(48)*-6)**2 - ((sqrt(3) - (sqrt(300) + -1 + sqrt(300)))**2 - (sqrt(432) + 0)**2). -2380 + 62*sqrt(3) Simplify 2 + sqrt(5) + 3 - (sqrt(5) + -2 + 1 + sqrt(5)) - (6*(-1 + sqrt(5)) + (sqrt(5) - (sqrt(220)/sqrt(4))/sqrt(11))). -7*sqrt(5) + 12 Simplify 5*(6*(0 + (sqrt(12) + 1)*-6 + sqrt(12) + 2*sqrt(12)*-5))**2. 64800*sqrt(3) + 492480 Simplify 3 + ((-2*sqrt(33))/sqrt(11) - ((sqrt(3) - sqrt(3)*-2) + 4)) + 2. -5*sqrt(3) + 1 Simplify ((sqrt(170) - 2*sqrt(170))*1 + ((sqrt(170) + 1*sqrt(170))*2 - sqrt(170)))/(2*((2*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(360))). sqrt(17)/6 Simplify sqrt(171)/(sqrt(27)/sqrt(3)) + 0 + sqrt(152)/(sqrt(8)*1*3 + sqrt(8)). 5*sqrt(19)/4 Simplify ((sqrt(65) - -4*4*sqrt(65) - sqrt(65))/(sqrt(10)/(-3*sqrt(2) + sqrt(2)))*-6)**2 + 0. 479232 Simplify (1*sqrt(288) - 4*(sqrt(2) + 2))**2 + 2 + (sqrt(24)/(-2*sqrt(12)*-1))**2. -128*sqrt(2) + 389/2 Simplify (sqrt(136)*-2*5 + sqrt(136))/(-2*sqrt(648)). sqrt(17)/2 Simplify (sqrt(1377) + (0 + sqrt(1377) - sqrt(1377)))*-1 + sqrt(1377) + 0 + -4 + 1. -3 Simplify ((sqrt(3) + -1)*-4 + sqrt(12) + sqrt(192) + (sqrt(3) - (sqrt(3) - sqrt(54)/sqrt(2))) + sqrt(3) + -1)**2. 60*sqrt(3) + 309 Simplify (-1 + (6*(sqrt(96)*-2)/sqrt(3))**2)*3. 13821 Simplify (sqrt(504)/(sqrt(1296)*-2))/(sqrt(1152) + (sqrt(1152) + sqrt(1152) + 1*sqrt(1152)*-4 - sqrt(1152) - sqrt(1152))). sqrt(7)/864 Simplify 3*sqrt(343) + 3 - (2 + (-2 + 1*sqrt(7))**2). -10 + 25*sqrt(7) Simplify ((sqrt(132)/(sqrt(60)/sqrt(5)) + -3)*5*-2)**2. -600*sqrt(11) + 2000 Simplify ((sqrt(200) + 2 + (sqrt(200) - -3*sqrt(200)) - -6*-4*sqrt(200))*5)**2. -19000*sqrt(2) + 1805100 Simplify 3*(sqrt(448) + 3 + sqrt(7)) - ((3*sqrt(126))/sqrt(2))**2. -558 + 27*sqrt(7) Simplify ((sqrt(154)/sqrt(28))/(sqrt(18)*2) + -4)**2. -2*sqrt(11)/3 + 2315/144 Simplify (-3*(sqrt(192) + sqrt(48) + sqrt(48))*-1)**2 + -2*sqrt(300)*-3 + (sqrt(300) + -1 + sqrt(300))**2*-1. 100*sqrt(3) + 5711 Simplify -5 + (sqrt(55) + sqrt(3520)*3)/(sqrt(50)/(sqrt(10) + sqrt(90))) + 4. -1 + 100*sqrt(11) Simplify -5*sqrt(1539)*1*-4 - (4 + sqrt(171) + -1)*-6. 18 + 198*sqrt(19) Simplify -1*(4 + (1 + sqrt(1539))**2)*-2 + 1. 36*sqrt(19) + 3089 Simplify 5*((4*sqrt(110)/sqrt(5))/(1*sqrt(162)) + 4). 20*sqrt(11)/9 + 20 Simplify (-2 + sqrt(176) + -1 + -3*(4 + sqrt(176)) + 0)**2. 240*sqrt(11) + 929 Simplify -5 + (sqrt(128) - (-5 + sqrt(128) + (sqrt(128) - sqrt(128)*1) - sqrt(128)))**2 + sqrt(128)*1*6 + 4. 152 + 128*sqrt(2) Simplify ((1*sqrt(4719))/sqrt(3))**2 - (1*sqrt(156)*1)/sqrt(12). -sqrt(13) + 1573 Simplify 3*((sqrt(832)*-1)/sqrt(4) - sqrt(156)/(sqrt(120)/(2*sqrt(10) - sqrt(10))))**2. 975 Simplify 3*(-3 + (sqrt(3267) + sqrt(3267) + (sqrt(3267) - (sqrt(3267) + sqrt(3267)*1) - sqrt(3267)))/(sqrt(900)*1)). -9 Simplify (sqrt(539) - ((2 + sqrt(539))*-6 - sqrt(539)))**2 - ((2*sqrt(44))/sqrt(4))**2*-2. 1344*sqrt(11) + 34728 Simplify ((1*sqrt(70) - sqrt(70))*-4 - -5*(sqrt(70) + (sqrt(70) - -2*sqrt(70) - sqrt(70))))/(sqrt(1440)*3*3 + sqrt(1440)). sqrt(7)/8 Simplify -5 + 1 + (3*((sqrt(42)/sqrt(6))**2 + sqrt(7)) + sqrt(63)/(3*sqrt(9)))*3. 10*sqrt(7) + 59 Simplify (6*(sqrt(48) + 0)*-1 + sqrt(576)/(sqrt(24)/sqrt(2)) + -3)**2. 120*sqrt(3) + 1209 Simplify 5 + (-2*(2 + sqrt(7)) - (-1*sqrt(7) + sqrt(7))*-6 - (0 + sqrt(7) + -3 + -2)**2). -31 + 8*sqrt(7) Simplify (sqrt(220)/(sqrt(10) - 3*sqrt(10)*-5))/(sqrt(2)*2*-2 + (sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2))*-1). -sqrt(11)/112 Simplify ((sqrt(24) + sqrt(24)*1 - sqrt(24))*-3 + sqrt(24) + (sqrt(168)*-2)/sqrt(7))/((sqrt(540)/(sqrt(18)/sqrt(2)))/sqrt(5))*-2. 8*sqrt(2) Simplify -4 + 1 + -1 + sqrt(847) + sqrt(847) + sqrt(847) + (sqrt(847) - (0 + sqrt(847) + -5)) + 3. 4 + 33*sqrt(7) Simplify -1 + 4 + sqrt(30)/((sqrt(6) + sqrt(96) + sqrt(6))*6) + -1*(2*sqrt(405) - sqrt(5)). -611*sqrt(5)/36 + 3 Simplify (sqrt(136) + 5*((sqrt(136)*-2 - sqrt(136)) + sqrt(136)) - sqrt(136) - sqrt(136))/((sqrt(392)/sqrt(7))/sqrt(7)). -11*sqrt(17) Simplify ((sqrt(3078)*-1*3 - sqrt(3078))/((sqrt(18) + ((sqrt(18) + sqrt(450))*-1 - sqrt(18)))/sqrt(9)))**2. 684 Simplify (sqrt(19) + -1 + sqrt(19) + -5 + -2)**2 + sqrt(38)/(sqrt(2)*-2) + (sqrt(475) + 0 + sqrt(
{ "pile_set_name": "DM Mathematics" }
. -43*sqrt(17) Simplify -2*2*sqrt(99) + -2 + sqrt(1331)*1 + 5. -sqrt(11) + 3 Simplify (-1 + sqrt(343) + -1 - (0 + sqrt(252) + 0 + sqrt(252)))*-6. 12 + 30*sqrt(7) Simplify -2*(-4*(5 + sqrt(75))*-6*-4)**2. -1843200 - 921600*sqrt(3) Simplify (2*sqrt(4320) - sqrt(4320))/(sqrt(360) + (sqrt(360) - sqrt(360)*-2 - sqrt(360) - sqrt(360) - sqrt(360)))*4. 8*sqrt(3) Simplify ((sqrt(84)/(sqrt(24)/sqrt(2)) + (sqrt(77) - (2*sqrt(77) - sqrt(77)))/sqrt(11))**2 - (-2 + sqrt(42)/(sqrt(18)/sqrt(3))))*-5*-6. -30*sqrt(7) + 270 Simplify (5*-2*sqrt(136))/(sqrt(2048)*4). -5*sqrt(17)/32 Simplify (sqrt(891) - 1*sqrt(891)*-3)**2 + sqrt(539)*2 + sqrt(44)/sqrt(4)*6. 20*sqrt(11) + 14256 Simplify (-1*sqrt(13) + -1 + -6*(sqrt(13) + 3) + 5)**2. 196*sqrt(13) + 833 Simplify (-1*(sqrt(1375) + -1*sqrt(1375) + sqrt(55)))/(4*6*sqrt(15)/sqrt(3)). -sqrt(11)/24 Simplify -5*(-1 + ((sqrt(128) + -2*sqrt(128))*5)**2)*4. -63980 Simplify 5*-6*((sqrt(16)*1 + sqrt(16))*-6)/sqrt(8) + -5. -5 + 360*sqrt(2) Simplify ((-1*sqrt(114)*-1*4)/(6*(sqrt(864) + 3*sqrt(864))))**2. 19/5184 Simplify (((-1*sqrt(168))/sqrt(8)*3)/(sqrt(70)/(sqrt(2160)/sqrt(6))))**2. 972 Simplify 0 + ((-1 + sqrt(1377))*1)**2 + 5. -18*sqrt(17) + 1383 Simplify (0 + sqrt(612) + -1 + (sqrt(612) + 0)*1 + (1*(sqrt(612) + 0 + sqrt(612)) - (sqrt(612) + 0)*-5))**2. -108*sqrt(17) + 49573 Simplify (-3*-2*sqrt(228)*-1)/(-1*1*sqrt(12) + sqrt(1200)*-1 + sqrt(12)). 3*sqrt(19)/5 Simplify (sqrt(2754)/sqrt(2) + sqrt(425) + 2 + 0)**2*-4. -13344 - 224*sqrt(17) Simplify (-5 + -4*(sqrt(72) - (-1*sqrt(72)*-6 + sqrt(72)) - ((sqrt(72) - sqrt(72)*2) + sqrt(72) + 5 - sqrt(72))))**2. 3600*sqrt(2) + 29025 Simplify (-2 + (-1*-4*sqrt(700) - sqrt(700) - -4*(sqrt(700) + sqrt(700)*3)))**2 + 2. -760*sqrt(7) + 252706 Simplify (sqrt(448) + ((-2*sqrt(448) + sqrt(448))*-4)**2 - (sqrt(448) + -1 + 3))*6. 42996 Simplify 3*(sqrt(28) + 1 + -1) + (sqrt(14) + sqrt(14) + sqrt(224)*4)/(sqrt(12)/(sqrt(96) - sqrt(6))). 60*sqrt(7) Simplify -6*(sqrt(3) + 3)*6 + -2 + ((sqrt(27) - 5*sqrt(27))**2 - sqrt(3)). -37*sqrt(3) + 322 Simplify (-3*(sqrt(605) + (4*sqrt(605)*2 - sqrt(605)) - (-1 + -1*sqrt(125))))**2 + 2. 1674*sqrt(5) + 389216 Simplify (2 + -3*sqrt(12) + -2 + -1)*-6. 6 + 36*sqrt(3) Simplify -2*(sqrt(99) + sqrt(99)*-1*3)/(sqrt(144) + (-2*sqrt(144) - sqrt(144))). -sqrt(11)/2 Simplify -1*(sqrt(20) + (sqrt(980))**2) - (sqrt(80) + -3)**2*5. -1425 + 118*sqrt(5) Simplify -2*-4*(0 + 4 + sqrt(12)/(sqrt(12)/sqrt(3)))**2. 64*sqrt(3) + 152 Simplify -2 + (-2*(sqrt(187) + (sqrt(187) - (sqrt(187) - ((sqrt(187) + sqrt(187)*-1 + sqrt(187))*4 - sqrt(187) - sqrt(187))))))/(4*sqrt(704)*-2). -2 + 3*sqrt(17)/32 Simplify ((sqrt(400)*1*5)/((sqrt(2560)*-2)/sqrt(8)))**2. 125/16 Simplify (sqrt(270)/(sqrt(36)/(sqrt(4)*1)))/(sqrt(50)/(sqrt(5) + (sqrt(20)*3 - sqrt(5)))). 6*sqrt(3) Simplify (-4 + ((1 + sqrt(125) - sqrt(5)) + sqrt(5))*-1 + sqrt(45)*-2 + -3)**2. 176*sqrt(5) + 669 Simplify (-1 + -1*(sqrt(176)*-2 - sqrt(539)*2)*5)*2. -2 + 220*sqrt(11) Simplify (-1*sqrt(3400))/(2*sqrt(200)) + (sqrt(85) - -3*-2*sqrt(85))/(sqrt(30)/(1*sqrt(6))). -11*sqrt(17)/2 Simplify (-6*(sqrt(128) + -1)*-3)**2 - -5*2*-1*sqrt(128). -5264*sqrt(2) + 41796 Simplify (-1*(0 + sqrt(108)))**2*-3*-4*2. 2592 Simplify (sqrt(77) + (sqrt(77) - -2*sqrt(77))*-4 + sqrt(77) + 5*-2*sqrt(77))/(sqrt(448) + 1*2*sqrt(448)). -5*sqrt(11)/6 Simplify (2*sqrt(27)*-1)/(sqrt(324)*-3 - sqrt(9))*-2. -4*sqrt(3)/19 Simplify (sqrt(114)/sqrt(6) + -1 + 5)**2 + (sqrt(1425) - (sqrt(1425) - (sqrt(1425) - -1*sqrt(1425))))/sqrt(3). 35 + 18*sqrt(19) Simplify -3*(-4 + sqrt(1700) - sqrt(17)) + 4*sqrt(51)/(2*sqrt(3)). -25*sqrt(17) + 12 Simplify 2 + (-1 + 1*sqrt(13) + sqrt(13) + -1 + -3)**2 - 5*sqrt(117)/(sqrt(9) + 3*sqrt(36)). -145*sqrt(13)/7 + 79 Simplify -1 + (sqrt(108)*-1 + 5 + 1)**2 + 4. -72*sqrt(3) + 147 Simplify (sqrt(57)/(sqrt(24)/sqrt(8)) + -1 + sqrt(133)/sqrt(7)*5 + 2)**2. 12*sqrt(19) + 685 Simplify -2*6*(2*sqrt(1053) + -1). -216*sqrt(13) + 12 Simplify ((-2*sqrt(450)*-3)/((sqrt(81)*-1)/sqrt(9) + sqrt(9) + sqrt(9)) + -2)**2. -120*sqrt(2) + 1804 Simplify (sqrt(24)/(sqrt(21)/(sqrt(28)/sqrt(4))))/(sqrt(484)*-1*3). -sqrt(2)/33 Simplify -4*(3 + ((1*sqrt(48))**2 - (-5 + sqrt(6)/sqrt(2)))) + -4. -228 + 4*sqrt(3) Simplify ((sqrt(110) + (sqrt(110) - -2*sqrt(110)*5) + sqrt(110))/(sqrt(1000) + -4*sqrt(1000) + sqrt(10)))**2. 1859/841 Simplify (sqrt(125) + sqrt(125) + 1 + 1 + sqrt(605) + sqrt(220)/(sqrt(11)*-2))*5. 10 + 100*sqrt(5) Simplify (((sqrt(128) + sqrt(128) + -1)*-4 + sqrt(128))*4 - (-3*(sqrt(128) + (-2*sqrt(128) + sqrt(128) - sqrt(128))) + (-1 + sqrt(128))*5))**2. -12096*sqrt(2) + 166329 Simplify (sqrt(150)/(2*sqrt(10)*-4))/(sqrt(25)/sqrt(5)*4 - sqrt(5)*-2*-6). sqrt(3)/64 Simplify 3*((sqrt(833) + -3)**2 + 4 + sqrt(1377)). -99*sqrt(17) + 2538 Simplify (sqrt(22)*1*-2)/(-4*sqrt(99)/sqrt(9)). sqrt(2)/2 Simplify (4*(sqrt(1980) - sqrt(1980)*-1))/(sqrt(1100) + sqrt(1100) + sqrt(1100) + -1*1*sqrt(1100)). 12*sqrt(5)/5 Simplify (-3 + sqrt(891) + -2)**2 + -6*2*sqrt(176). -138*sqrt(11) + 916 Simplify (sqrt(5200) + -2*sqrt(5200) - sqrt(468)*4)/((sqrt(720)/sqrt(5) - sqrt(4))*-5). 22*sqrt(13)/25 Simplify -4*((sqrt(120)/(sqrt(4) + sqrt(4) + (sqrt(4) - sqrt(48)/sqrt(3)) + sqrt(4)))/(6*sqrt(864)*-1))**2. -5/5184 Simplify 5 + (sqrt(425) - sqrt(425)*3)**2 + sqrt(425) + (-6*(sqrt(425) + 4))**2 + 2. 1445*sqrt(17) + 17583 Simplify (-6*sqrt(156)/sqrt(3) + sqrt(104)/(sqrt(2) + sqrt(8)/sqrt(4)))/(-5*(sqrt(24)*-2 + sqrt(24))/sqrt(6)). -11*sqrt(13)/10 Simplify sqrt(119)/(-2*sqrt(7))*2 + (-4*(sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 2))) + sqrt(2448))**2. 575*sqrt(17) + 22096 Simplify 5*(1 + (-6*(sqrt(5) + -1) + sqrt(5)*-1 + 5)**2). -770*sqrt(5) + 1835 Simplify (-3*(2*2*sqrt(475) + 3*sqrt(475)*-3))**2. 106875 Simplify ((sqrt(208) + -1 + sqrt(208))*4*-4)**2 - (1*(sqrt(208) - (3*sqrt(208) - sqrt(208))**2) - sqrt(208))*1. -4096*sqrt(13) + 214080 Simplify (((sqrt(133) + 1*sqrt(133))*3)/(sqrt(7) + ((sqrt(77) + (sqrt(77) - sqrt(77)*-2))/sqrt(11) - sqrt(7)))*-1)**2. 171/4 Simplify (sqrt(209)*2*4 + sqrt(209) + (sqrt(209) - (sqrt(209) + (-1*sqrt(209) - sqrt(209)))*1))/(sqrt(121)/(sqrt(11)*-1)*2). -11*sqrt(19)/2 Simplify (-1*(sqrt(1088) + (sqrt(1088)*2 - sqrt(1088)) + 5 + sqrt(1088) - sqrt(1088) - (sqrt(1088)*-1 + -1)))**2. 288*sqrt(17) + 9828 Simplify (-5 + 0 + sqrt(1700) + 3 - (((sqrt(1700) - (2 + (sqrt(1700) + 0 + sqrt(1700) - sqrt(1700)))) + sqrt(1700))*1)**2)*1. -1706 + 50*sqrt(17) Simplify (sqrt(28)/sqrt(4) + sqrt(7) + 2 + -4 - (sqrt(7) + sqrt(84)/(sqrt(12)*2) + 2))**2. -4*sqrt(7) + 71/4 Simplify (-5 + sqrt(1200) + -5 + sqrt(1200) - (sqrt(1200) - ((0 + sqrt(1200))*4 - sqrt(1200))))**2. -1600*sqrt(3) + 19300 Simplify (-6*sqrt(209)*2 - sqrt(209) - 1*-2*sqrt(209))/(3*(sqrt(1100) - 2*sqrt(1100))). 11*sqrt(19)/30 Simplify sqrt(243) + 1 + -3 + (sqrt(192) + -2 - (sqrt(15)/sqrt(5) + -1 - sqrt(3)))**2. -7*sqrt(3) + 191 Simplify (-2*(-6*4*-6*(sqrt(192) + sqrt(192)*1) + 4))**2. 73728*sqrt(3) + 63701056 Simplify (sqrt(55)/(sqrt(60)/(sqrt(12) - -3*sqrt(12))))**2 + -3 + (sqrt(77)/sqrt(7))**2*-6. 107 Simplify (-5*(0 + (sqrt(125) - (-2 + sqrt(125) + 2) - sqrt(125))))**2. 3125 Simplify (sqrt(171) - (-1*sqrt(171)*2 + sqrt(171)) - sqrt(171)) + (-3*(sqrt(171)*4 + sqrt(171)))**2 + -5. 3*sqrt(19) + 38470 Simplify 2*2*sqrt(5324)*6 + 2 + 5. 7 + 528*sqrt(11) Simplify (((2*sqrt(114) - sqrt(114) - sqrt(114)) + sqrt(114) + sqrt(114) - sqrt(114))*-3 + 6*2*sqrt(114))/(5*sqrt(96)*-4). -9*sqrt(19)/80 Simplify (-5 + ((sqrt(76)*-3)/sqrt(4))**2 + 4)*2. 340 Simplify (sqrt(105)/(sqrt(42)/sqrt(6))*3)/((sqrt(225)/sqrt(5) - sqrt(45)) + (sqrt(500)*2 - sqrt(5))). 3*sqrt(3)/19 Simplify 4 + 2*sqrt(171) + sqrt(171) - (sqrt(304) + sqrt(304) + -1 - (sqrt(171)*-2)/sqrt(9))**2. -1897 + 29*sqrt(19) Simplify (sqrt(560)/(sqrt(10) - -2*(sqrt(10) + (sqrt(10) - sqrt(160))) - sqrt(10)))/(-2*-2*sqrt(968)). -sqrt(7)/176 Simplify (-2 + 2 + sqrt(300) + 3 + (sqrt(300) - ((2*sqrt(300) - sqrt(300)) + -5)))**2*-2. -728 - 320*sqrt(3) Simplify -5*-5*((-2*sqrt(931))**2 - sqrt(931))*-6. -558600 + 1050*sqrt(19) Simplify sqrt(12) + (sqrt(192) - sqrt(12)) + 3 + sqrt(33)/(sqrt(1584)*-2). 3 + 191*sqrt(3)/24 Simplify (-3*(-1 + sqrt(847)) - (2 + sqrt(7)*2 + sqrt(14)/sqrt(2) + 0))**2. -72*sqrt(7) + 9073 Simplify 1*sqrt(891) + ((sqrt(33)*-2)/sqrt(3))**2 - (sqrt(1100) + (6*
{ "pile_set_name": "DM Mathematics" }
6700 = 0? -6, -2, 368945 Find u such that -387*u**4/2 - 32119*u**3/2 + 431588*u**2 + 923474*u - 4784 = 0. -104, -2, 2/387, 23 Factor 4*n**3 - 213100*n**2 + 2837692800*n + 14193792000. 4*(n - 26640)**2*(n + 5) Determine d so that -4*d**3/7 + 5068304*d**2/7 + 20273264*d/7 + 20273280/7 = 0. -2, 1267080 Factor -4*d**3 - 19968*d**2 - 25718580*d - 9895482936. -4*(d + 873)**2*(d + 3246) Solve -r**4 + 1294*r**3 - 6433*r**2 - 15504*r + 46404 = 0. -3, 2, 6, 1289 Factor -9867335*j**4 - 207214005*j**3 - 1450497615*j**2 - 3384491495*j + 10290. -5*(j + 7)**3*(1973467*j - 6) Solve 5*q**4 - 86340*q**3 + 503681510*q**2 - 1130637236820*q + 857417779499645 = 0 for q. 1963, 6671 Factor -j**5 + 18938*j**4 - 119524023*j**3 + 251239344818*j**2 + 1006511949212*j + 755153061432. -(j - 6314)**3*(j + 1)*(j + 3) What is s in 4*s**5 + 157720*s**4 - 3471488*s**3 + 11362176*s**2 = 0? -39452, 0, 4, 18 Find o, given that 3*o**4/7 + 164733*o**3/7 - 1153254*o**2/7 + 1318080*o/7 + 2636064/7 = 0. -54918, -1, 4 Factor -3*m**2/4 - 14847*m/2 + 2545665/4. -3*(m - 85)*(m + 9983)/4 Factor -p**4/7 + 20535*p**3/7 - 4328778*p**2 + 2202595052*p - 376886280456. -(p - 18981)*(p - 518)**3/7 Factor -v**2/4 + 1899947*v/2. -v*(v - 3799894)/4 Solve -c**5/2 - 1987*c**4/2 + 664543*c**3/2 - 49446209*c**2/2 - 166020453*c + 428291064 = 0. -2287, -8, 2, 153 Let 5*r**3 - 142420*r**2 - 41038855*r - 2941588650 = 0. Calculate r. -143, 28770 Factor -5826*b**2 + 174776*b/3 + 40/3. -2*(b - 10)*(8739*b + 2)/3 Solve -2*p**3/15 - 539858*p**2/5 + 1079718*p/5 - 1619578/15 = 0. -809789, 1 Factor 70875*h**3 + 52139925*h**2 + 4634240*h + 102980. 5*(7*h + 5149)*(45*h + 2)**2 Determine z so that -5797715*z**5 + 155653080*z**4 + 30518755*z**3 - 178612260*z**2 - 1757540*z - 4320 = 0. -8/7, -2/407, 1, 27 Let -7035*c**4 + 21122*c**3 + 6984*c**2 - 21122*c + 51 = 0. Calculate c. -1, 17/7035, 1, 3 Factor 9*t**2 - 7998042*t + 1776907662049. (3*t - 1333007)**2 Find h, given that -600*h**2 + 11606995*h + 96725 = 0. -1/120, 19345 What is h in -2*h**5/9 + 5522*h**4/9 + 3454526*h**3/9 - 13889810*h**2/9 + 3476588*h/3 = 0? -529, 0, 1, 3, 3286 Factor -4*q**3 + 30168*q**2 - 48517380*q + 22349833200. -4*(q - 5532)*(q - 1005)**2 Determine w, given that w**2/5 + 62067*w/5 + 62066/5 = 0. -62066, -1 Suppose 2*c**4/7 - 929238*c**3/7 + 107860564388*c**2/7 + 17389949132760*c/7 - 35211333089200/7 = 0. Calculate c. -163, 2, 232390 Suppose w**2/2 - 1378183*w - 2756368 = 0. What is w? -2, 2756368 Find n, given that -3*n**3 + 401385*n**2 - 13427231256*n + 93970951956 = 0. 7, 66894 Find q, given that 8*q**3/11 + 576546238*q**2/11 - 144136560*q/11 = 0. -72068280, 0, 1/4 What is v in -3*v**4/7 - 1029534*v**3/7 - 88273772607*v**2/7 + 9365697565884*v/7 - 248267646134028/7 = 0? -171642, 53 Factor 5*f**2 - 33920*f - 3581760. 5*(f - 6888)*(f + 104) Determine u, given that u**5/6 + 7709*u**4/3 + 1163835*u**3/2 + 33478722*u**2 + 32899374*u = 0. -15189, -114, -1, 0 Factor 2*y**2/7 - 4521606*y/7 - 645944. 2*(y - 2260804)*(y + 1)/7 Suppose q**5 + 5121*q**4 + 259139*q**3 + 2882751*q**2 - 10539072*q + 7392060 = 0. Calculate q. -5070, -27, 1, 2 Factor 18*x**3 + 36249*x**2 + 17990388*x - 262189980. 3*(x + 1014)**2*(6*x - 85) Suppose -13*g**4/8 - 1241*g**3/8 - 3203*g**2/4 - 150*g + 2700 = 0. What is g? -90, -4, -3, 20/13 Suppose -45*v**4 - 6490*v**3 + 3734685*v**2 + 830250*v = 0. What is v? -369, -2/9, 0, 225 Determine n so that -2*n**5 + 23038*n**4 - 115138*n**3 - 23038*n**2 + 115140*n = 0. -1, 0, 1, 5, 11514 Determine p so that 5*p**5 + 3630*p**4 + 60500*p**3 + 166290*p**2 - 230425*p = 0. -709, -13, -5, 0, 1 Let 90*s**5/7 - 56356*s**4/7 - 911826*s**3/7 - 1528028*s**2/7 - 780504*s/7 - 15408 = 0. Calculate s. -14, -1, -3/5, -2/9, 642 Factor -4*j**2/7 - 211392*j/7 + 4664176. -4*(j - 154)*(j + 53002)/7 Determine t, given that 2*t**4/5 + 655164*t**3/5 + 3275768*t**2/5 - 655164*t/5 - 655154 = 0. -327577, -5, -1, 1 Let n**2 - 28016*n - 280260 = 0. What is n? -10, 28026 Determine i so that -2*i**4/7 + 3250*i**3/7 - 193212*i**2 + 24942200*i/7 + 831019568/7 = 0. -17, 38, 802 Solve -4*p**3 - 1055265320*p**2 + 2110530652*p - 1055265328 = 0 for p. -263816332, 1 Determine h, given that -159*h**4/5 + 225177*h**3 - 1972137771*h**2/5 - 74442489033*h/5 + 2811958782/5 = 0. -37, 2/53, 3559 Suppose 3*i**3/5 + 1239*i**2/5 - 98994*i/5 + 75192 = 0. Calculate i. -482, 4, 65 Find q such that -q**4/11 - 107798*q**3/11 - 2905856689*q**2/11 - 40666148712*q/11 - 142313035536/11 = 0. -53892, -7 Let -s**3/2 - 24466*s**2/3 - 23425963*s/6 - 7797781/3 = 0. What is s? -15817, -493, -2/3 Let -4*g**2 + 9219332*g - 9219328 = 0. What is g? 1, 2304832 Determine x so that -2*x**2 - 9355704*x + 9355706 = 0. -4677853, 1 Suppose 16*b**2/7 - 409410*b/7 + 1688544/7 = 0. Calculate b. 33/8, 25584 Factor -5*o**2 - 71070380*o + 142140780. -5*(o - 2)*(o + 14214078) Solve 4*n**2 - 62562136*n - 62562140 = 0 for n. -1, 15640535 Factor -2*d**2/9 - 122032*d/3 - 7321120/9. -2*(d + 20)*(d + 183028)/9 Suppose 4*k**5 + 4003*k**4/2 + 16354*k**3 - 128409*k**2/2 - 604863*k - 216972 = 0. Calculate k. -492, -7, -3/8, 6 Factor 2*m**2/5 + 36875332*m + 849868818818890. 2*(m + 46094165)**2/5 What is c in 3*c**4/8 + 188943*c**3/8 - 2267613*c**2/8 + 8503905*c/8 - 4724475/4 = 0? -62993, 2, 5 What is r in 3*r**5 + 96*r**4 - 144*r**3 - 13782*r**2 + 27597*r - 13770 = 0? -27, -17, 1, 10 Determine k so that 2*k**3 + 2856336*k**2 = 0. -1428168, 0 Factor -4*u**2/9 + 17117512*u/3 - 18313076066884. -4*(u - 6419067)**2/9 Suppose -2*q**5/5 + 38*q**4/5 - 118*q**3/5 - 38*q**2/5 + 24*q = 0. What is q? -1, 0, 1, 4, 15 Determine v, given that 3*v**2/2 - 2228*v/3 + 275776/3 = 0. 2224/9, 248 Suppose -4*v**5/7 - 7216*v**4/7 - 43164*v**3/7 - 21472*v**2/7 + 187088*v/7 + 172608/7 = 0. Calculate v. -1798, -4, -3, -1, 2 Determine i, given that 3*i**4 + 497142*i**3 + 1988523*i**2 + 497112*i - 2982780 = 0. -165710, -3, -2, 1 Factor -3*l**2 + 102780*l - 616572. -3*(l - 34254)*(l - 6) Find w such that -w**2 - 15755940*w - 62062411320900 = 0. -7877970 Factor -6088*q**2/7 + 16302*q/7 - 8252/7. -2*(q - 2)*(3044*q - 2063)/7 Suppose -80*d**5 + 7843800*d**4 + 58832755*d**3 + 24023715*d**2 - 23533235*d + 3431925 = 0. What is d? -7, -1, 1/4, 98055 Find q, given that -3*q**4 + 13040292*q**3 + 156483828*q**2 + 469451808*q = 0. -6, 0, 4346776 Determine f so that -2*f**2/3 + 143963*f/3 + 6659080 = 0. -277/2, 72120 What is f in 3*f**5/7 + 4161*f**4/7 + 24882*f**3/7 + 33126*f**2/7 - 3555*f - 37287/7 = 0? -1381, -3, -1, 1 Factor 2*y**2 - 203760*y + 815008. 2*(y - 101876)*(y - 4) Determine f so that -f**2 - 138515*f - 5262126 = 0. -138477, -38 Suppose 10*m**4/11 + 8526*m**3/11 + 97982*m**2/11 + 358770*m/11 + 423864/11 = 0. Calculate m. -841, -28/5, -3 Factor 2*l**2/15 - 269218*l/15 + 215368/3. 2*(l - 134605)*(l - 4)/15 Let -4*o**3 - 892*o**2 - 27416*o + 236992 = 0. Calculate o. -184, -46, 7 Let 5*t**5 + 1165*t**4 + 24030*t**3 - 25200*t**2 = 0. What is t? -210, -24, 0, 1 Let -5*h**2 + 542103700*h - 14693821077684500 = 0. What is h? 54210370 Factor r**3/2 + 40691*r**2/2 - 81388*r + 81390. (r - 2)**2*(r + 40695)/2 Factor -x**3/5 + 23836*x**2/5 - 145339957*x/5 + 39112759578/5. -(x - 11777)**2*(x - 282)/5 Factor 9*y**3 + 229*y**2 - 1617*y + 2547. (y - 3)**2*(9*y + 283) Factor -u**2/2 + 1370445*u/2 + 1370447. -(u - 1370447)*(u + 2)/2 Let 5*l**3 + 1755740*l**2 + 1755735*l = 0. Calculate l. -351147, -1, 0 Suppose -4*i**4 - 94036*i**3 + 564364*i**2 + 93940*i - 2821800 = 0. Calculate i. -23515, -2, 3, 5 Suppose 2*c**3/3 - 223286*c**2/3 + 2074267674*c + 172677337218 = 0. Calculate c. -83, 55863 Let -2*y**3/3 - 408334*y**2/9 + 6671024*y/9 - 2178304/9 = 0. What is y? -68072, 1/3, 16 Suppose 2*t**3 - 208832*t**2 + 5452394538*t - 54503064180 = 0. Calculate t. 10, 52203 Determine q, given that 5*q**3 - 4015*q**2 + 791100*q - 1566180 = 0. 2, 339, 462 Determine g, given that 936752979600*g**2 - 50328720*g + 676 = 0. 13/483930 Determine t so that -2*t**3 + 1798186*t**2 + 1798200*t - 10789128 = 0. -3, 2, 899094 Factor 3*c**4/4 + 1359*c**3 - 701679*c**2/4. 3*c**2*(c - 121)*(c + 1933)/4 What is o in 2*o**4 + 91544*o**3 + 1048453032*o**2 + 20941605440*o + 104662275200 = 0? -22876, -10 Factor -c**3/5 + 18063*c**2/5 + 10501752*c/5 + 1502701936/5. -(c - 18631)*(c + 284)**2/5 Find t such that -1682*t
{ "pile_set_name": "DM Mathematics" }
- 2. Let c be y(2). Let b = 40 - 23. Let k = c - b. What are the prime factors of k? 3, 5 Let x(a) = 109*a. Let d be x(1). Suppose -l + d = 4*b, 4*l - 5*l = -2*b + 59. Suppose 27 = 5*w - b. List the prime factors of w. 11 Let g be -1 + (1 - 0 - 0). List the prime factors of (g - -1) + 5 - -2. 2 Let h = -39 - -93. Let l = 8 + -45. Let j = l + h. What are the prime factors of j? 17 What are the prime factors of 0 + 3*43 + (45 - 42)? 2, 3, 11 Suppose c - 2*t + 0 + 1 = 0, 2*c - 5*t - 2 = 0. Let l be -4 - ((-72)/(-9) + 2/(-2)). Let v = c - l. What are the prime factors of v? 2 Suppose -285 = p - 4*p. List the prime factors of p. 5, 19 Let y = -8 + 16. Let t be 2/y - (-14)/8. Suppose 3*o + t*m = -2*o + 31, 2*o = -3*m + 8. List the prime factors of o. 7 Suppose -4*y = -2*v + 18, -30 = 5*y - 3*v - 7. Let p = y - -15. List the prime factors of p. 11 Suppose -5*r + 2*z + 302 = 0, -r - 33 = 2*z - 91. Suppose 5*g + r - 255 = 0. What are the prime factors of g? 3, 13 Let a = -55 - -92. What are the prime factors of a? 37 Let o(m) = -m - 5. Let i be o(-3). Let b be ((-44)/6 + (-4)/(-12))*-1. What are the prime factors of (48/14 + i)*b? 2, 5 List the prime factors of ((-180)/(-16))/(6/16). 2, 3, 5 Let r = 15 - 21. Let u = r - -9. Suppose -3*i - 27 = s - 5*s, -u*s - 5*i = -13. What are the prime factors of s? 2, 3 Let c(y) = -2 + 6*y + 5*y - 5*y. Let f be c(1). Suppose -5*v + f*w = -30, -4*v - 3*w - 5 = v. List the prime factors of v. 2 Let n(p) = -p**3 + 4*p**2 - p - 2. Let j be n(2). Let h = j - 1. Suppose 4*g - 28 = -h*m + 3*g, -4*m + 34 = 2*g. What are the prime factors of m? 11 Let l = 205 - 134. What are the prime factors of l? 71 Let n be (-2)/(-3)*(-27)/6. Let q(w) = -3*w + 3. List the prime factors of q(n). 2, 3 List the prime factors of 2343/27 + 4/18. 3, 29 Let j(w) = 7*w**2 - w**3 - 3*w + 53 + 5*w - 52. What are the prime factors of j(6)? 7 Let k be 14*-1*6/7. What are the prime factors of (-56)/k*3/2? 7 Let f(k) = k**3 - 7*k**2 - 5*k - 8. Let o(d) = d**2 + d + 8. Let s be o(0). What are the prime factors of f(s)? 2 Suppose 0 = 3*m - 24 - 6. Suppose 0 = -5*t - 0*t + m. Suppose 6*v = 5*o + v - 5, -22 = -2*o - t*v. List the prime factors of o. 2, 3 Suppose 0 = -r + 4*r - 120. List the prime factors of r. 2, 5 Suppose -5*l = -5*z + 155, -7*z = -2*z + 2*l - 141. List the prime factors of z. 29 Suppose -s - 1 = -12. List the prime factors of s. 11 Suppose -5*p - 281 = -1251. What are the prime factors of p? 2, 97 Suppose -u = 2*h - 43, 5*h = 4*u + 88 - 286. Suppose -3*l = -u - 22. List the prime factors of l. 23 Let l be (-114)/(-7) - (-10)/(-35). Suppose -5 = g - l. What are the prime factors of g? 11 Let m = 49 - 31. What are the prime factors of m? 2, 3 Let k be 3/(-1) + (5 - 2). Let y = k - -11. List the prime factors of y. 11 Let c(f) = f**3 - 6*f**2 + 5*f - 8. Let r be c(7). Suppose -m + r = 3*m. What are the prime factors of m? 19 Let u(v) = -v**3 + 2*v**2 + 4*v - 1. Suppose 6*i - i = 15. Let r be u(i). Suppose -r*w = 3*w + 3*a - 25, 3*w + a = 11. What are the prime factors of w? 2 Let s = 8 - 5. Suppose 3*x - 2*r = 40, 4*x - x - 15 = -s*r. What are the prime factors of x? 2, 5 Suppose -4*y + 14 = -o + 51, 4*o - 3*y - 83 = 0. List the prime factors of 2/(3 - 49/o). 17 Let i(h) = -h**2 - 7*h + 11. Let p be i(-8). Suppose 2*d - 3*d + p = 0. Suppose -j = 0, -4*b + j = d*j - 12. List the prime factors of b. 3 Let g(u) = -u**2 - 2*u - 3. Suppose -4*p - 20 + 5 = -q, 0 = 5*q - 15. Let c be g(p). Let a(m) = -3*m - 7. List the prime factors of a(c). 11 Let y(j) = -3*j**3 + 3*j**3 - 8*j - j**3 + 13 - 10*j**2. List the prime factors of y(-9). 2 Let s = 18 - 2. Suppose -s = -2*d + d. List the prime factors of d. 2 Suppose 1 = -x, g - 1 = 3*x + 3. Let a(r) = -4*r**3 - g + 2*r**2 + 0*r**3 - 2*r**3. What are the prime factors of a(-1)? 7 Let s = 2 + -2. Suppose 2*g - 3*k = s, -2*g + 16 = 9*k - 4*k. List the prime factors of g. 3 Let o be 22/6 - 10/15. Suppose o*k - 8*k = -20. List the prime factors of k. 2 Suppose 3*y - 161 - 259 = 0. Suppose 0*n - 5*n = -y. List the prime factors of n. 2, 7 Let c be (2/(-4))/((-4)/16). Suppose -c*x + x = 6. Let z = 1 - x. What are the prime factors of z? 7 Suppose 0*n + 4 = 2*n. Let r be -12*((-8)/2 + n). Let f = -15 + r. List the prime factors of f. 3 Let i be (-3)/4 - (-247)/52. What are the prime factors of (-48)/(-9)*6/i? 2 Suppose 2*k - k + 19 = q, -2*k - 83 = -5*q. What are the prime factors of q? 3, 5 Suppose z + 9 = -2*t - 2*z, 24 = 3*t - 3*z. Suppose s - t*m + 5 = 0, -4*s + 0 + 14 = 5*m. Suppose -s = -4*i + 11. What are the prime factors of i? 3 Let w(t) = -t + 2. Let q be w(-2). Let b be q + -1 + 3 + -1. Suppose -n + 31 = 3*n + 3*p, b*n - 47 = -p. List the prime factors of n. 2, 5 Let p be 1 - -1*(7 - 3). Suppose 0 = p*r + 5*k - 245, -3*r - 4*k + 137 = -3*k. What are the prime factors of r? 2, 11 What are the prime factors of 90 + 2 + -1 + 3? 2, 47 Let g(n) = -n**2 + 14*n. Let x(v) = -v**2 + 6*v + 6*v**2 - 35*v - 3*v**2. Let j(c) = 7*g(c) + 3*x(c). What are the prime factors of j(10)? 2, 5 Let y(k) = k**2 - 2*k - 1. Let g = 2 + 1. What are the prime factors of y(g)? 2 Suppose -i + 5*i = 112. Suppose 2*k - i = -2*k. What are the prime factors of k? 7 Let j(q) = q - 1. Let r be j(2). Let d be 2*r*3/(-6). List the prime factors of (-1)/((-3)/(-21)*d). 7 Let i = -19 + 39. Suppose 5*r = -4*x + 13 + 11, 4*x = -4*r + i. Suppose r*s + 37 = 7*s - 4*k, 5*s + k - 31 = 0. List the prime factors of s. 7 Let z(v) = v - 1. Let y be z(4). Suppose -4*c = 4*d + 28, d - 19 = 3*d + y*c. What are the prime factors of d - (-3 - 20)*1? 3, 7 Suppose 30 = 4*p + 5*d, p + 2 - 1 = 3*d. Suppose -2*t + 5*q - 12 = 0, p*q = -2*t + 6 + 22. Suppose t*f - 45 = -f. List the prime factors of f. 3 What are the prime factors of 4/18 - 7710/(-54)? 11, 13 Let a(x) = x**3 + 13*x**2 + 18*x + 31. What are the prime factors of a(-11)? 3, 5 Suppose 2*n = -2*n. Suppose 3*r = 5*o + 17, 2*r + 6*o - 5*o - 20 = n. List the prime factors of r. 3 Suppose 5*x + 28 = -7. List the prime factors of 0 + -1 + 14 + x. 2, 3 Let j = 18 - 16. What are the prime factors of (2 - j) + 33 + -8? 5 Let t(n) = -6*n + 6. Let q be t(-5). Suppose -2*o + 0*o = -q. List the prime factors of o. 2, 3 Let b be -2*1 - (-6 - -2). Let k(d) = d**3 - 3*d**2 + 4*d - 2. List the prime factors of k(b). 2 Suppose -5*r = o - 17, 0 = -0*o - 2*o - 5*r + 24. Suppose -3*w - 2*p + 6*p = -o, w - 4*p = 13. What are the prime factors of 4/1*w/(-4)? 3 What are the prime factors of 0 - -74*3/6? 37 Suppose 4*f = 4*w - 24, -3*f = -0 - 3. What are the prime factors of w? 7 Suppose 2*j + 1 = 5. Suppose -j*x = -7*x + 85. List the prime factors of x. 17 Let t(a) = a**2 + 9*a. Let m be t(-4). Let f = 9 - m. List the prime factors of f. 29 Let l be (-9)/6*(-1 - 1). Suppose 0 = 2*x + l*d - 0*d, 0 = -3*x + d. Suppose 8 = 3*c + c, x = h + 4*c - 17. List the prime factors of h. 3 Let c be -3*((-8)/(-6))/2. Let d(y) be the second derivative of -y**5/20 - y**4/12 + y**2 + y. List the prime factors of d(c). 2, 3 Suppose -4*f = 3*d - 252, 0 = -3*d + 2*d + 4. List the prime factors of f. 2, 3, 5 Suppose -4*z - 3*z = -1078. What are the prime factors of z? 2, 7, 11 Let j(s) = 18*s. Let x be 2/3 - (-8)/(-3). Let a be j(x). Let g = a - -51. What are the prime factors of g? 3, 5 Let t = 10 - 6. Suppose -2*r - 19 = -5*m - 3*r, 0 = 5*m - t*r + 1. Suppose -m*c + 40 = 2*c. What are the prime factors of c? 2 Let s(r) = -2*r + 7. Let n be s(7). Let l = n - -11. Suppose -l*j + 2 + 14 = 0. What are the prime factors of j? 2 Let u = -15 + 50. List the prime factors of u. 5, 7 Suppose 3*i + 6 = 4*j + i, 0 = -5*j + 5*i. Let u(t) = 8*t. What are the prime factors of u(j)? 2, 3 Suppose 4*h - 363 = -0*h + s, 5*h + 2*s - 457 = 0. Suppose -h = -6*g + 3*g + o, 2*o - 138 = -4*g. List the prime factors of g. 2 Let z be 10/8 - 18/(-24). Suppose 51 = 3*x - 4*a, 2*a + 20 = z*x + 4*a. Suppose 3*o = s - 17, 4*o + 3 = -x. List the prime factors of s. 5 Let l be 18/(-4)*8/(-6). Let x = 16 + 84. Suppose w + x = l*w. What are the prime factors of w? 2, 5 Suppose 11*j = 6*j + 5. What are the prime factors of (-4)/((16/(-12))/j)? 3 Suppose 3 = -4*p - 5. Let d = p - -5. List the prime factors of d. 3 Let q = -2 - -5. Suppose 4*k - 11 = -m + 2*m, q*k - 5*m +
{ "pile_set_name": "DM Mathematics" }
821 List the prime factors of 2249. 13, 173 What are the prime factors of 160709? 160709 What are the prime factors of 3341? 13, 257 List the prime factors of 30144. 2, 3, 157 List the prime factors of 29815. 5, 67, 89 What are the prime factors of 56175? 3, 5, 7, 107 List the prime factors of 334. 2, 167 What are the prime factors of 73196? 2, 29, 631 List the prime factors of 18161. 11, 13, 127 What are the prime factors of 38? 2, 19 List the prime factors of 874. 2, 19, 23 What are the prime factors of 15776? 2, 17, 29 List the prime factors of 128638. 2, 64319 What are the prime factors of 728? 2, 7, 13 List the prime factors of 864. 2, 3 What are the prime factors of 522? 2, 3, 29 What are the prime factors of 735? 3, 5, 7 What are the prime factors of 707? 7, 101 What are the prime factors of 3860? 2, 5, 193 List the prime factors of 126124. 2, 31531 What are the prime factors of 4437? 3, 17, 29 What are the prime factors of 126? 2, 3, 7 What are the prime factors of 189? 3, 7 List the prime factors of 969. 3, 17, 19 List the prime factors of 47227. 83, 569 List the prime factors of 13077. 3, 1453 What are the prime factors of 27098? 2, 17, 797 List the prime factors of 4957. 4957 List the prime factors of 16005. 3, 5, 11, 97 List the prime factors of 58726. 2, 29363 What are the prime factors of 4205? 5, 29 List the prime factors of 41635. 5, 11, 757 What are the prime factors of 48549? 3, 16183 What are the prime factors of 1272? 2, 3, 53 List the prime factors of 4815. 3, 5, 107 List the prime factors of 2349. 3, 29 List the prime factors of 5204. 2, 1301 What are the prime factors of 38183? 38183 List the prime factors of 859. 859 What are the prime factors of 1516? 2, 379 List the prime factors of 491. 491 What are the prime factors of 780? 2, 3, 5, 13 What are the prime factors of 93533? 11, 773 What are the prime factors of 11612? 2, 2903 What are the prime factors of 929? 929 What are the prime factors of 98893? 98893 List the prime factors of 44066. 2, 11, 2003 List the prime factors of 26552. 2, 3319 What are the prime factors of 1100? 2, 5, 11 What are the prime factors of 7? 7 What are the prime factors of 124062? 2, 3, 23, 29, 31 What are the prime factors of 126106? 2, 17, 3709 List the prime factors of 16933. 7, 41, 59 What are the prime factors of 41708? 2, 10427 List the prime factors of 483. 3, 7, 23 List the prime factors of 1899. 3, 211 List the prime factors of 4032. 2, 3, 7 What are the prime factors of 3575? 5, 11, 13 List the prime factors of 79411. 79411 List the prime factors of 870. 2, 3, 5, 29 What are the prime factors of 1815? 3, 5, 11 List the prime factors of 75691. 7, 11, 983 List the prime factors of 21339. 3, 2371 List the prime factors of 832. 2, 13 What are the prime factors of 12430? 2, 5, 11, 113 What are the prime factors of 1051? 1051 List the prime factors of 721. 7, 103 List the prime factors of 3622. 2, 1811 What are the prime factors of 28523? 11, 2593 What are the prime factors of 90038? 2, 13, 3463 What are the prime factors of 9864? 2, 3, 137 List the prime factors of 22796. 2, 41, 139 List the prime factors of 58084. 2, 13, 1117 What are the prime factors of 538? 2, 269 List the prime factors of 3640. 2, 5, 7, 13 What are the prime factors of 1389? 3, 463 What are the prime factors of 2626? 2, 13, 101 What are the prime factors of 27883? 27883 List the prime factors of 405. 3, 5 What are the prime factors of 227? 227 What are the prime factors of 6979? 7, 997 What are the prime factors of 106976? 2, 3343 List the prime factors of 10074. 2, 3, 23, 73 List the prime factors of 1901. 1901 List the prime factors of 2731. 2731 List the prime factors of 617. 617 List the prime factors of 6295. 5, 1259 List the prime factors of 688. 2, 43 List the prime factors of 34448. 2, 2153 What are the prime factors of 2336? 2, 73 List the prime factors of 237. 3, 79 What are the prime factors of 8330? 2, 5, 7, 17 List the prime factors of 1367. 1367 List the prime factors of 153660. 2, 3, 5, 13, 197 What are the prime factors of 8522? 2, 4261 What are the prime factors of 14462? 2, 7, 1033 What are the prime factors of 607? 607 What are the prime factors of 12078? 2, 3, 11, 61 What are the prime factors of 27986? 2, 7, 1999 What are the prime factors of 2341? 2341 List the prime factors of 5167. 5167 What are the prime factors of 731? 17, 43 What are the prime factors of 68462? 2, 34231 List the prime factors of 128934. 2, 3, 13, 19, 29 List the prime factors of 27328. 2, 7, 61 List the prime factors of 29036. 2, 7, 17, 61 List the prime factors of 1034. 2, 11, 47 What are the prime factors of 5600? 2, 5, 7 What are the prime factors of 4442? 2, 2221 What are the prime factors of 72559? 72559 What are the prime factors of 16342? 2, 8171 What are the prime factors of 809? 809 What are the prime factors of 7600? 2, 5, 19 What are the prime factors of 84569? 19, 4451 List the prime factors of 111960. 2, 3, 5, 311 List the prime factors of 20461. 7, 37, 79 List the prime factors of 27459. 3, 113 List the prime factors of 11995. 5, 2399 What are the prime factors of 492? 2, 3, 41 List the prime factors of 1952. 2, 61 List the prime factors of 44512. 2, 13, 107 What are the prime factors of 61120? 2, 5, 191 What are the prime factors of 708? 2, 3, 59 List the prime factors of 16124. 2, 29, 139 What are the prime factors of 4543? 7, 11, 59 What are the prime factors of 3581? 3581 List the prime factors of 663. 3, 13, 17 List the prime factors of 12419. 11, 1129 What are the prime factors of 798? 2, 3, 7, 19 What are the prime factors of 2508? 2, 3, 11, 19 What are the prime factors of 3054? 2, 3, 509 List the prime factors of 163. 163 What are the prime factors of 61566? 2, 3, 31, 331 List the prime factors of 248. 2, 31 What are the prime factors of 620? 2, 5, 31 List the prime factors of 349. 349 What are the prime factors of 6013? 7, 859 List the prime factors of 7172. 2, 11, 163 List the prime factors of 18871. 113, 167 What are the prime factors of 5547? 3, 43 What are the prime factors of 357? 3, 7, 17 What are the prime factors of 598? 2, 13, 23 List the prime factors of 94954. 2, 197, 241 What are the prime factors of 32450? 2, 5, 11, 59 List the prime factors of 4422. 2, 3, 11, 67 List the prime factors of 1894. 2, 947 What are the prime factors of 104686? 2, 17, 3079 List the prime factors of 15809. 15809 What are the prime factors of 95? 5, 19 List the prime factors of 1873. 1873 List the prime factors of 22677. 3, 7559 What are the prime factors of 4967? 4967 What are the prime factors of 1604? 2, 401 List the prime factors of 566. 2, 283 List the prime factors of 870. 2, 3, 5, 29 What are the prime factors of 21158? 2, 71, 149 What are the prime factors of 4448? 2, 139 List the prime factors of 71269. 11, 19, 31 List the prime factors of 4677. 3, 1559 List the prime factors of 9325. 5, 373 List the prime factors of 6739. 23, 293 List the prime factors of 9937. 19, 523 What are the prime factors of 68406? 2, 3, 13, 877 List the prime factors of 46491. 3, 15497 What are the prime factors of 1632? 2, 3, 17 List the prime factors of 2800. 2, 5, 7 What are the prime factors of 63688? 2, 19, 419 What are the prime factors of 2053? 2053 List the prime factors of 1813. 7, 37 What are the prime factors of 7092? 2, 3, 197 What are the prime factors of 3368? 2, 421 List the prime factors of 1037. 17, 61 List the prime factors of 9789. 3, 13, 251 List the prime factors of 12861. 3, 1429 What are the prime factors of 525? 3, 5, 7 List the prime factors of 2298. 2, 3, 383 What are the prime factors of 59609? 11, 5419 List the prime factors of 568. 2, 71 What are the prime factors of 120905? 5, 24181 List the prime factors of 40098. 2, 3, 41, 163 List the prime factors of 83367. 3, 59, 157 What are the prime factors of 27062? 2, 7, 1933 List the prime factors of 390. 2, 3, 5, 13 List the prime factors of 2488. 2, 311 What are the prime factors of 636? 2, 3, 53 List the prime factors of 5647. 5647 List the prime factors of 5143. 37, 139 List the prime factors of 3956. 2, 23, 43 List the prime factors of 70242. 2, 3, 23, 509 List the prime factors of 4395. 3, 5, 293 What are the prime factors of 1001? 7, 11, 13
{ "pile_set_name": "DM Mathematics" }
thout replacement from bqkcdsd. Give prob of picking 1 k, 1 d, and 2 c. 0 What is prob of picking 3 l when three letters picked without replacement from mlllmmmllmml? 1/11 Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {o: 1, x: 2, y: 1, t: 8, q: 1, f: 1}. 0 Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {q: 5, f: 7, r: 1, g: 1, n: 2}. 7/24 Three letters picked without replacement from hgbhhgbhy. What is prob of picking 2 g and 1 y? 1/84 Calculate prob of picking 1 j, 2 g, and 1 t when four letters picked without replacement from {j: 1, x: 1, t: 3, g: 2, y: 4}. 1/110 Calculate prob of picking 1 x and 2 s when three letters picked without replacement from xssssssxs. 1/2 Calculate prob of picking 2 f and 2 a when four letters picked without replacement from acaccafcfacccf. 18/1001 Four letters picked without replacement from {z: 4, e: 2, c: 5, l: 7}. What is prob of picking 1 z, 2 l, and 1 c? 7/51 Three letters picked without replacement from {s: 2, i: 11}. What is prob of picking 3 i? 15/26 Three letters picked without replacement from ovqqvqoqooqqqqqoo. Give prob of picking 2 q and 1 o. 27/85 Two letters picked without replacement from jjjqbtbqxxxjeqxebxjj. What is prob of picking 1 q and 1 e? 3/95 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, j: 10}. 1/66 Four letters picked without replacement from tktkkkttxtctnttnhtkk. Give prob of picking 1 n, 1 x, 1 t, and 1 c. 6/1615 Two letters picked without replacement from {q: 2, a: 1, f: 1, b: 2, p: 1}. What is prob of picking 1 q and 1 a? 2/21 Four letters picked without replacement from {n: 5, q: 2, z: 1, o: 2, u: 4}. What is prob of picking 1 u, 1 n, and 2 q? 20/1001 Two letters picked without replacement from {o: 2, p: 6, l: 2, i: 1, x: 4, c: 2}. What is prob of picking 1 x and 1 o? 1/17 Calculate prob of picking 4 i when four letters picked without replacement from {v: 7, i: 6, p: 4}. 3/476 Four letters picked without replacement from {o: 3, s: 6, p: 1, r: 3, y: 2}. Give prob of picking 2 y and 2 r. 1/455 Three letters picked without replacement from xdxddddd. Give prob of picking 3 d. 5/14 Two letters picked without replacement from dgzppwgwptdwtw. Give prob of picking 1 p and 1 t. 6/91 What is prob of picking 1 z and 3 m when four letters picked without replacement from {x: 1, k: 2, z: 4, o: 3, m: 4}? 16/1001 Calculate prob of picking 1 e and 3 f when four letters picked without replacement from fffevfjfvvx. 1/33 Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {c: 1, y: 1, u: 2, a: 1}. 1/5 Three letters picked without replacement from {n: 2, j: 10, v: 3}. Give prob of picking 2 v and 1 j. 6/91 What is prob of picking 4 v when four letters picked without replacement from {f: 8, d: 5, v: 5}? 1/612 Two letters picked without replacement from nnunnnmne. Give prob of picking 1 u and 1 e. 1/36 Two letters picked without replacement from {w: 1, h: 1, e: 1, i: 2, c: 2, k: 2}. What is prob of picking 1 e and 1 c? 1/18 Two letters picked without replacement from kcccccccfkcfc. Give prob of picking 1 k and 1 f. 2/39 What is prob of picking 3 y and 1 w when four letters picked without replacement from wbwbybybebwwybeybw? 1/153 What is prob of picking 1 p and 1 l when two letters picked without replacement from {c: 1, g: 2, l: 1, p: 1}? 1/10 What is prob of picking 2 c, 1 f, and 1 a when four letters picked without replacement from faaaffaccfff? 8/165 Two letters picked without replacement from {d: 10, l: 10}. What is prob of picking 2 d? 9/38 Calculate prob of picking 1 s, 1 x, and 2 b when four letters picked without replacement from xxbxbxssxbxxbxxxxxb. 20/323 Three letters picked without replacement from {g: 8, l: 3, h: 1, b: 2, s: 1, q: 1}. What is prob of picking 1 h, 1 g, and 1 b? 1/35 What is prob of picking 1 y, 1 k, and 1 j when three letters picked without replacement from kkuejyjjkwkk? 3/44 Three letters picked without replacement from lllffflfllvvllf. What is prob of picking 1 l, 1 v, and 1 f? 16/91 What is prob of picking 1 y, 1 b, 1 s, and 1 v when four letters picked without replacement from {p: 2, b: 2, v: 2, s: 4, x: 3, y: 3}? 12/455 Two letters picked without replacement from krrxrrrrrxrrxrrrr. What is prob of picking 2 x? 3/136 What is prob of picking 3 s when three letters picked without replacement from {s: 4}? 1 Three letters picked without replacement from dndddddnidndddjdyi. Give prob of picking 1 d and 2 i. 11/816 Calculate prob of picking 1 g, 1 q, 1 i, and 1 d when four letters picked without replacement from {q: 4, g: 1, d: 2, i: 9}. 18/455 Two letters picked without replacement from {k: 16, n: 4}. What is prob of picking 2 k? 12/19 Two letters picked without replacement from {e: 3, c: 4, i: 6}. What is prob of picking 2 c? 1/13 What is prob of picking 1 u and 1 t when two letters picked without replacement from yotuytytsteuyyueuytu? 5/38 Four letters picked without replacement from {m: 2, y: 4, n: 4}. What is prob of picking 4 y? 1/210 What is prob of picking 2 u and 2 l when four letters picked without replacement from {l: 3, u: 7}? 3/10 Two letters picked without replacement from hfhhddhfhdhffhfhd. What is prob of picking 2 f? 5/68 Four letters picked without replacement from kwkkkwkbwkbt. What is prob of picking 1 t, 1 k, and 2 b? 2/165 Calculate prob of picking 1 a, 1 v, and 1 l when three letters picked without replacement from {j: 2, o: 6, v: 3, a: 5, q: 1, l: 2}. 10/323 Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {j: 6, w: 4, t: 4}. 16/91 Four letters picked without replacement from {z: 2, a: 1, f: 5, c: 8, x: 3, n: 1}. What is prob of picking 1 a, 2 c, and 1 x? 28/1615 Three letters picked without replacement from {l: 3, j: 2, a: 2, v: 3, w: 3}. What is prob of picking 1 w, 1 a, and 1 j? 6/143 What is prob of picking 1 z, 1 w, and 1 n when three letters picked without replacement from {n: 5, z: 5, w: 1}? 5/33 Three letters picked without replacement from {m: 1, k: 4, z: 1, c: 2, i: 2}. What is prob of picking 1 m, 1 c, and 1 k? 1/15 What is prob of picking 2 e when two letters picked without replacement from {s: 10, e: 2}? 1/66 Calculate prob of picking 1 z and 2 x when three letters picked without replacement from zxxxxzrxxxxxxxz. 33/91 Two letters picked without replacement from {v: 2, q: 1}. Give prob of picking 2 v. 1/3 Calculate prob of picking 3 q and 1 d when four letters picked without replacement from qqqqqqqdqdqqqqqqqqq. 20/57 Calculate prob of picking 1 i and 2 o when three letters picked without replacement from oqqoiiiioqoiqii. 6/65 Three letters picked without replacement from zagyzzazzzzzzzz. Give prob of picking 1 z, 1 g, and 1 y. 11/455 Two letters picked without replacement from {n: 3, q: 1, v: 2, b: 1}. Give prob of picking 1 v and 1 n. 2/7 Two letters picked without replacement from {d: 8, a: 8, c: 2}. What is prob of picking 2 d? 28/153 Four letters picked without replacement from {h: 10, v: 10}. Give prob of picking 4 v. 14/323 Calculate prob of picking 1 o and 1 a when two letters picked without replacement from aemomddddd. 1/45 Two letters picked without replacement from haahaftaafaaafagtgg. Give prob of picking 2 f. 1/57 Two letters picked without replacement from qhqeqeeweeeaeeeqqw. Give prob of picking 2 q. 10/153 What is prob of picking 1 o and 1 f when two letters picked without replacement from {f: 8, o: 2, x: 5}? 16/105 Two letters picked without replacement from npnnnnpnppnnnn. What is prob of picking 1 n and 1 p? 40/91 Calculate prob of picking 1 u, 1 p, and 1 d when three letters picked without replacement from {p: 1, u: 1, d: 11}. 1/26 Two letters picked without replacement from {k: 4, s: 6, d: 1}. What is prob of picking 1 d and 1 k? 4/55 Two letters picked without replacement from {f: 7, q: 2, s: 2}. What is prob of picking 2 f? 21/55 Four letters picked without replacement from {x: 2, d: 5}. Give prob of picking 1 x and 3 d. 4/7 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {d: 2, g: 2, b: 11, q: 5}. 11/38 What is prob of picking 1 l and 2 i when three letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
om mbbmbdmaabkkmakbkdk. What is prob of picking 1 a, 2 k, and 1 m? 10/323 Two letters picked without replacement from yyvx. Give prob of picking 1 y and 1 x. 1/3 Two letters picked without replacement from {g: 5, l: 1, y: 4, x: 2, f: 2}. What is prob of picking 1 x and 1 y? 8/91 Calculate prob of picking 2 e, 1 w, and 1 x when four letters picked without replacement from wwewwxee. 6/35 What is prob of picking 3 q and 1 o when four letters picked without replacement from oqoqoqooooo? 4/165 Calculate prob of picking 4 j when four letters picked without replacement from {j: 5}. 1 What is prob of picking 3 o when three letters picked without replacement from ajajjojbjajjjjbooj? 1/816 Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {q: 3, x: 9}. 1/55 Calculate prob of picking 2 h when two letters picked without replacement from ssvsshvbbhnmns. 1/91 Four letters picked without replacement from {e: 2, b: 1, o: 7, j: 7, f: 1}. What is prob of picking 2 e and 2 o? 7/1020 Four letters picked without replacement from {e: 9}. Give prob of picking 4 e. 1 Calculate prob of picking 1 g and 3 r when four letters picked without replacement from {j: 2, g: 2, r: 11}. 22/91 Two letters picked without replacement from sxytmmtw. What is prob of picking 1 x and 1 t? 1/14 What is prob of picking 1 t and 1 k when two letters picked without replacement from {t: 2, c: 2, j: 1, k: 1, z: 12, u: 2}? 1/95 What is prob of picking 2 i and 2 b when four letters picked without replacement from iiiibibiiiiii? 1/13 Three letters picked without replacement from ukukkkukkkuukk. Give prob of picking 3 u. 5/182 Three letters picked without replacement from {l: 3, q: 5, f: 2, v: 4, e: 5}. What is prob of picking 2 e and 1 l? 10/323 Four letters picked without replacement from {e: 17, y: 3}. What is prob of picking 3 y and 1 e? 1/285 Calculate prob of picking 2 t when two letters picked without replacement from tttototo. 5/14 Four letters picked without replacement from {k: 6, m: 13}. Give prob of picking 4 k. 5/1292 Four letters picked without replacement from sssssyyssssysyys. Give prob of picking 2 s and 2 y. 55/182 Calculate prob of picking 2 r when two letters picked without replacement from {r: 5, p: 5}. 2/9 Two letters picked without replacement from gaagaa. What is prob of picking 1 g and 1 a? 8/15 Calculate prob of picking 1 x, 1 m, and 1 v when three letters picked without replacement from vmxmmmmmxbbmmmmm. 11/280 Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zpepzpezpppzezezeep. 35/969 Two letters picked without replacement from qzzzzzzqz. What is prob of picking 1 q and 1 z? 7/18 Calculate prob of picking 1 e and 1 x when two letters picked without replacement from ueuxxxuxuuuxxexexexx. 4/19 Three letters picked without replacement from {e: 2, l: 5}. What is prob of picking 1 l and 2 e? 1/7 Calculate prob of picking 1 y and 2 v when three letters picked without replacement from {y: 2, v: 3}. 3/5 Three letters picked without replacement from lullulllllluluul. Give prob of picking 3 u. 1/56 Two letters picked without replacement from {i: 2, a: 4}. What is prob of picking 2 i? 1/15 Calculate prob of picking 2 f when two letters picked without replacement from {l: 1, a: 4, e: 8, u: 3, f: 3}. 1/57 What is prob of picking 1 e and 1 v when two letters picked without replacement from {m: 2, e: 5, v: 6}? 5/13 Two letters picked without replacement from llllqqlllll. What is prob of picking 1 q and 1 l? 18/55 Three letters picked without replacement from {s: 2, d: 7}. Give prob of picking 2 d and 1 s. 1/2 Two letters picked without replacement from {h: 4, w: 1, d: 2}. Give prob of picking 1 w and 1 h. 4/21 What is prob of picking 2 c when two letters picked without replacement from ckkcjkkccccjckckc? 9/34 Calculate prob of picking 2 b, 1 w, and 1 l when four letters picked without replacement from wbwwwwwbwwlbwb. 54/1001 Three letters picked without replacement from dvhvdddvvd. Give prob of picking 3 d. 1/12 Two letters picked without replacement from fkpfmfiiipf. Give prob of picking 2 f. 6/55 Calculate prob of picking 1 c, 1 s, and 2 v when four letters picked without replacement from cxsvvcccc. 5/126 Three letters picked without replacement from {g: 11, d: 5, o: 1}. What is prob of picking 1 o and 2 g? 11/136 Four letters picked without replacement from {z: 1, j: 3, p: 1, s: 5, m: 5}. What is prob of picking 2 s, 1 m, and 1 j? 10/91 What is prob of picking 3 a when three letters picked without replacement from {b: 3, a: 7}? 7/24 Two letters picked without replacement from qvxtn. What is prob of picking 1 x and 1 v? 1/10 Three letters picked without replacement from sssdddddsdsddqsdddss. What is prob of picking 3 d? 11/76 Three letters picked without replacement from knggggcgsgsnsgkrnns. Give prob of picking 1 r and 2 s. 2/323 Three letters picked without replacement from {m: 1, w: 1, x: 2}. Give prob of picking 2 x and 1 m. 1/4 Two letters picked without replacement from {w: 7, a: 4}. Give prob of picking 1 w and 1 a. 28/55 Three letters picked without replacement from ljjjfjyl. What is prob of picking 2 f and 1 l? 0 What is prob of picking 1 y and 1 h when two letters picked without replacement from {u: 4, y: 5, h: 1, z: 1, m: 1, g: 1}? 5/78 What is prob of picking 4 g when four letters picked without replacement from {i: 3, g: 7}? 1/6 Three letters picked without replacement from {i: 1, t: 1, b: 5, z: 5}. Give prob of picking 3 b. 1/22 What is prob of picking 1 y and 2 f when three letters picked without replacement from eyfsef? 1/20 Three letters picked without replacement from hcqchoh. What is prob of picking 1 q and 2 h? 3/35 What is prob of picking 2 y when two letters picked without replacement from yyywwyyyyyy? 36/55 Four letters picked without replacement from iiiiiiriiiriiiiriiii. Give prob of picking 3 r and 1 i. 1/285 Three letters picked without replacement from {g: 3, u: 13, n: 1}. What is prob of picking 2 u and 1 n? 39/340 Three letters picked without replacement from {q: 3, z: 3, a: 2}. What is prob of picking 2 q and 1 a? 3/28 What is prob of picking 1 s and 1 d when two letters picked without replacement from dsddddssssds? 6/11 Four letters picked without replacement from yykkkorckbrkrrrbkr. What is prob of picking 1 y, 2 k, and 1 c? 1/102 Three letters picked without replacement from ututntutn. What is prob of picking 1 u and 2 n? 1/28 Calculate prob of picking 3 e when three letters picked without replacement from iieeiegiiigie. 2/143 Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {e: 2, f: 2, a: 1, m: 1, y: 2}. 1/7 What is prob of picking 1 i, 2 k, and 1 y when four letters picked without replacement from {y: 5, q: 1, i: 5, t: 4, h: 2, k: 3}? 5/323 Calculate prob of picking 2 d when two letters picked without replacement from dddd. 1 Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, f: 3}. 2/7 What is prob of picking 4 p when four letters picked without replacement from bpbbpbppjbjj? 1/495 Three letters picked without replacement from ubnetxn. What is prob of picking 1 e, 1 b, and 1 n? 2/35 Two letters picked without replacement from {v: 2, f: 4, t: 1, u: 1, x: 2, y: 2}. What is prob of picking 1 t and 1 x? 1/33 Three letters picked without replacement from {j: 4, m: 1, f: 9, a: 1}. What is prob of picking 1 m and 2 j? 6/455 Two letters picked without replacement from azdjj. Give prob of picking 1 d and 1 j. 1/5 Calculate prob of picking 2 p, 1 z, and 1 x when four letters picked without replacement from {p: 3, x: 2, h: 1, z: 1}. 6/35 Two letters picked without replacement from {d: 1, a: 1, i: 1, j: 2}. Give prob of picking 2 j. 1/10 Three letters picked without replacement from zzezzezzezzzzzezee. Give prob of picking 3 e. 5/204 Three letters picked without replacement from hhhhhhhththhh. Give prob of picking 3 h. 15/26 Four letters picked without replacement from rerer. Give prob of picking 1 e and 3 r. 2/5 Four letters picked without replacement from {w: 4, p: 1, r: 1, e: 2, l: 1}. What is prob of picking 2 e, 1 l, and 1 w? 2/63 Calculate prob of picking 1 o, 1 h, and 1 v when three letters picked
{ "pile_set_name": "DM Mathematics" }
118329, -20118331, -20118331, -20118329, -20118325, -20118319, -20118311? v**2 - 5*v - 20118325 What is the u'th term of 12584, 27436, 42288, 57140, 71992? 14852*u - 2268 What is the n'th term of -95684, -95952, -96396, -97016, -97812, -98784? -88*n**2 - 4*n - 95592 What is the k'th term of -749, -1777, -3465, -6143, -10141? -55*k**3 - 643*k - 51 What is the g'th term of 553696, 553666, 553634, 553600? -g**2 - 27*g + 553724 What is the f'th term of -842964, -1686514, -2530064, -3373614, -4217164, -5060714? -843550*f + 586 What is the l'th term of -5108581, -5108585, -5108589? -4*l - 5108577 What is the x'th term of -415936168, -415936169, -415936170? -x - 415936167 What is the y'th term of -57096927, -114193856, -171290785? -57096929*y + 2 What is the o'th term of -11466, -22857, -34176, -45423, -56598, -67701? 36*o**2 - 11499*o - 3 What is the b'th term of 10171, 17370, 29373, 46180, 67791, 94206, 125425? 2402*b**2 - 7*b + 7776 What is the m'th term of 37804, 150923, 339362, 603121, 942200, 1356599, 1846318? 37660*m**2 + 139*m + 5 What is the h'th term of -19062337, -19062334, -19062331, -19062328? 3*h - 19062340 What is the r'th term of 59854, 120222, 180590, 240958? 60368*r - 514 What is the m'th term of 84027921, 168055838, 252083757, 336111678? m**2 + 84027914*m + 6 What is the m'th term of 149280, 149287, 149318, 149385, 149500, 149675, 149922, 150253? 2*m**3 - 7*m + 149285 What is the y'th term of -3461836, -3461833, -3461830? 3*y - 3461839 What is the j'th term of 44501, 177937, 400303, 711593, 1111801, 1600921, 2178947, 2845873? -j**3 + 44471*j**2 + 30*j + 1 What is the s'th term of -2210, -9119, -20598, -36647, -57266? -2285*s**2 - 54*s + 129 What is the n'th term of -2067, -1713, -1231, -621, 117? 64*n**2 + 162*n - 2293 What is the o'th term of -10691, -42665, -95941, -170519? -10651*o**2 - 21*o - 19 What is the y'th term of -1082874, -2165264, -3247654? -1082390*y - 484 What is the p'th term of 78824, 157106, 235390, 313676, 391964, 470254? p**2 + 78279*p + 544 What is the l'th term of 100, 483, 1422, 3193, 6072, 10335, 16258? 46*l**3 + 2*l**2 + 55*l - 3 What is the j'th term of 107932088, 107932090, 107932092, 107932094, 107932096, 107932098? 2*j + 107932086 What is the i'th term of 875, -381, -1635, -2887? i**2 - 1259*i + 2133 What is the q'th term of 25003, 50378, 75753, 101128, 126503, 151878? 25375*q - 372 What is the h'th term of -7644680, -30578700, -68802068, -122314784, -191116848, -275208260? -7644674*h**2 + 2*h - 8 What is the d'th term of -315098572, -630197143, -945295714, -1260394285, -1575492856? -315098571*d - 1 What is the m'th term of -420617, -420575, -420545, -420533, -420545, -420587? -m**3 + 49*m - 420665 What is the g'th term of 12062, 24055, 35978, 47837, 59638, 71387? g**3 - 41*g**2 + 12109*g - 7 What is the g'th term of -44105, -79214, -114323, -149432, -184541? -35109*g - 8996 What is the m'th term of -10009, -28921, -47833? -18912*m + 8903 What is the p'th term of 25999, 48618, 71237, 93856, 116475? 22619*p + 3380 What is the j'th term of 43616, 174558, 392820, 698396, 1091280, 1571466, 2138948, 2793720? -j**3 + 43666*j**2 - 49*j What is the p'th term of 41669, 41669, 41661, 41639, 41597? -p**3 + 2*p**2 + p + 41667 What is the w'th term of 4102201, 8204326, 12306451, 16408576, 20510701, 24612826? 4102125*w + 76 What is the v'th term of 488, 2072, 4732, 8480, 13328, 19288, 26372, 34592? 2*v**3 + 526*v**2 - 8*v - 32 What is the c'th term of 72840, 122580, 172320? 49740*c + 23100 What is the s'th term of -70889, -283549, -637983, -1134191? -70887*s**2 + s - 3 What is the u'th term of 53313174, 106626345, 159939516, 213252687, 266565858, 319879029? 53313171*u + 3 What is the y'th term of -44797, -179417, -403789, -717919, -1121813, -1615477, -2198917? -y**3 - 44870*y**2 - 3*y + 77 What is the h'th term of -49752, -198553, -446406, -793305, -1239244, -1784217? h**3 - 49532*h**2 - 212*h - 9 What is the a'th term of -999, -3537, -7653, -13341, -20595, -29409, -39777? a**3 - 795*a**2 - 160*a - 45 What is the x'th term of -752, -2914, -6226, -10460, -15388, -20782, -26414, -32056? 38*x**3 - 803*x**2 - 19*x + 32 What is the i'th term of 567679, 2270728, 5109143, 9082924? 567683*i**2 - 4 What is the g'th term of 496, 115, -528, -1439, -2624? -g**3 - 125*g**2 + g + 621 What is the i'th term of 909394, 909392, 909390, 909388, 909386? -2*i + 909396 What is the c'th term of -760041, -3040176, -6840409, -12160740, -19001169? -760049*c**2 + 12*c - 4 What is the x'th term of 136406, 274042, 411678, 549314? 137636*x - 1230 What is the s'th term of -91025, -91157, -91369, -91655, -92009, -92425, -92897, -93419? s**3 - 46*s**2 - s - 90979 What is the m'th term of 1862, 2453, 3406, 4727, 6422, 8497, 10958, 13811? m**3 + 175*m**2 + 59*m + 1627 What is the k'th term of 2185, 2866, 3477, 3982, 4345? -6*k**3 + k**2 + 720*k + 1470 What is the z'th term of -362, -444, -498, -500, -426, -252, 46, 492? 4*z**3 - 10*z**2 - 80*z - 276 What is the x'th term of -1012522, -1012516, -1012506, -1012492, -1012474, -1012452, -1012426? 2*x**2 - 1012524 What is the g'th term of -4333, -17302, -38919, -69190, -108121, -155718? -g**3 - 4318*g**2 - 8*g - 6 What is the y'th term of -1127, 1135, 3397? 2262*y - 3389 What is the s'th term of -4699, -4372, -4045, -3718, -3391, -3064? 327*s - 5026 What is the x'th term of 396901, 396890, 396859, 396802, 396713, 396586, 396415? -x**3 - 4*x**2 + 8*x + 396898 What is the a'th term of 934, 5062, 16330, 38308, 74566? 595*a**3 - 37*a + 376 What is the c'th term of 24616237, 24616201, 24616165? -36*c + 24616273 What is the p'th term of 167359, 334734, 502109? 167375*p - 16 What is the c'th term of -1965, -4031, -6207, -8493? -55*c**2 - 1901*c - 9 What is the n'th term of 14600537, 58402148, 131404835, 233608598? 14600538*n**2 - 3*n + 2 What is the s'th term of -5725, -5252, -4467, -3370, -1961, -240, 1793? 156*s**2 + 5*s - 5886 What is the g'th term of 1383, 103, -2031, -5019, -8861? -427*g**2 + g + 1809 What is the s'th term of -253061, -253107, -253237, -253493, -253917, -254551, -255437, -256617? -7*s**3 + 3*s - 253057 What is the t'th term of 1110859, 2221658, 3332453, 4443244, 5554031? -2*t**2 + 1110805*t + 56 What is the f'th term of 119104553, 119104554, 119104555, 119104556, 119104557? f + 119104552 What is the n'th term of -300682500, -300682501, -300682502, -300682503, -300682504? -n - 300682499 What is the i'th term of 13814806, 13814807, 13814808, 13814809, 13814810, 13814811? i + 13814805 What is the j'th term of 5007, 6427, 7847, 9267, 10687, 12107? 1420*j + 3587 What is the r'th term of -653, -1016, 43, 3886, 11875, 25372, 45739, 74338? 227*r**3 - 651*r**2 + r - 230 What is the g'th term of 91827, 91884, 92029, 92304, 92751, 93412, 94329? 7*g**3 + 2*g**2 + 2*g + 91816 What is the d'th term of 34486, 41048, 47610, 54172, 60734, 67296? 6562*d + 27924 What is the i'th term of 1659333704, 1659333703, 1659333702, 1659333701? -i + 1659333705 What is the m'th term of 246884, 495444, 744004, 992564, 1241124? 248560*m - 1676 What is the p'th term of 16781, 40944, 72497, 111446, 157797, 211556, 272729? p**3 + 3689*p**2 + 13089*p + 2 What is the o'th term of -829575, -3318203, -7465883, -13272615, -20738399? -829526*o**2 - 50*o + 1 What is the u'th term of 11714162, 23428365, 35142568, 46856771, 58570974, 70285177? 11714203*u - 41 What is the j'th term of 37650, 75476, 113480, 151662, 190022, 228560? 89*j**2 + 37559*j + 2 What is the z'th term of 169496, 338939, 508382, 677825, 847268, 1016711? 169443*z + 53 What is the c'th term of -15620, -16048, -16512, -17006, -17524, -18060, -18608, -19162? c**3 - 24*c**2 - 363*c - 15234 What is the h'th term of 62805661, 62805660, 62805659, 62805658, 62805657, 62805656? -h + 62805662 What is the m'th term of -224, 737, 3318, 8317, 16532? 133*m**3 + 12*m**2 - 6*m - 363 What is the r'th term of -238794, -238781, -238768? 13*r - 238807 What is the s'th term of 13643, 25369, 37093, 48821, 60559, 72313, 84089? s**3 - 7*s**2 + 11740*s + 1909 What is the v'th term of 20431, 80225, 179873, 319369, 498707, 717881, 976885, 1275713? -v**3 + 19933*v**2 + 2*v + 497 What is the p'th term of -33408, -32769, -31702, -30207, -28284, -25933, -23154? 214*p**2 - 3*p - 33619 What is
{ "pile_set_name": "DM Mathematics" }
h respect to f. -3 Suppose -21 = 3*z - 30. Let m(f) be the third derivative of 1/20*f**5 + 0*f**4 + 0 - 3*f**2 + 0*f + 2/3*f**z. Find the first derivative of m(r) wrt r. 6*r What is the third derivative of -2*r**4 + r**2 + 4*r**2 + r**4 wrt r? -24*r Let k(f) = 8*f**5 + 2*f**4 + 5*f**2 + 2*f + 2. Let m(r) = -r**5 + r**4 - r**2 + r + 1. Let s(v) = k(v) - 2*m(v). Find the third derivative of s(h) wrt h. 600*h**2 Let m = -3 - -5. Let x(y) = -4*y - 18. Let w be x(-5). What is the third derivative of -5*c**m + 4*c**w + 2*c**3 - 4*c**3 wrt c? -12 Let x = 4/107 - 133/6420. Let c(q) be the third derivative of 0 + 0*q + 0*q**3 - x*q**6 - 3*q**2 + 0*q**5 + 1/12*q**4. Find the second derivative of c(z) wrt z. -12*z Find the third derivative of -4*r**2 - 6 - 6*r**3 + 6 wrt r. -36 Let d(o) be the second derivative of 5*o**6/6 - o**4/6 + o**3/6 - 25*o**2/2 + o + 14. Find the second derivative of d(s) wrt s. 300*s**2 - 4 Suppose 9*u - 12*u + 75 = 0. Find the third derivative of -4*k**3 - 25 + u - 6*k**2 wrt k. -24 Find the third derivative of -91*l**3 - 16*l**6 + 91*l**3 - 28*l**2 wrt l. -1920*l**3 Let g(v) be the third derivative of -v**9/168 - v**5/20 + 2*v**2. Find the third derivative of g(x) wrt x. -360*x**3 Let b(o) be the first derivative of -o**5/60 + o**4/12 + o**2 + 1. Let r(h) be the second derivative of b(h). What is the second derivative of r(y) wrt y? -2 What is the first derivative of 6 + 133*a + 15*a**4 - 133*a wrt a? 60*a**3 Let h(p) = 2*p - 1. Let m(c) = -c. Let u(b) = 2*h(b) + 3*m(b). Let x(k) = -k + 2. Let j(t) = 2*u(t) + 3*x(t). What is the first derivative of j(d) wrt d? -1 What is the derivative of -6 - 4*p - p + 2 wrt p? -5 Let q(p) = 4*p**3 - 3*p**2 + 3*p - 4. Let l(o) = 4*o**3 - 4*o**2 + 4*o - 3. Let h(r) = -3*l(r) + 4*q(r). What is the first derivative of h(d) wrt d? 12*d**2 Find the second derivative of -28*z - 24*z**3 + 53*z**3 - 19*z wrt z. 174*z Let p(t) be the first derivative of t**6/60 - t**3/6 - t**2/2 + 1. Let x(o) be the second derivative of p(o). Differentiate x(i) wrt i. 6*i**2 Let r(m) = -m - 1. Let l(p) = -7*p - 10. Let y be (-3 - -1) + 1 + 2. Let u(g) = y*l(g) - 6*r(g). Differentiate u(h) with respect to h. -1 Let q = 10 + -4. Find the third derivative of -x**2 + 4*x**q + 5*x**6 - 13*x**6 wrt x. -480*x**3 Differentiate 4 - 7*o + 4*o + o wrt o. -2 Let y(m) be the second derivative of -m**5/10 - m**3/2 + 3*m. Find the second derivative of y(k) wrt k. -12*k Let x = 3 - 1. Let o = 0 + x. Find the second derivative of t**2 - 3*t + t - o*t**2 wrt t. -2 Let u(k) = -k**3 + k**2 + k + 2. Let q be u(2). Suppose 0 = 2*h - 4 - 0. What is the second derivative of -f - f - 2*f**2 + q*f**h wrt f? -4 Let n be ((-32)/(-12))/(14/21). Let c(q) = 3*q. Let y be c(1). Find the third derivative of r**3 - r**y - r**2 + n*r**5 wrt r. 240*r**2 Let y(p) be the first derivative of -7*p**2 + 2*p + 10. Find the first derivative of y(n) wrt n. -14 Suppose -4*o + 4*u = -4, o - 2*u = -2*o + 4. Differentiate -7*a**2 + 5 - 1 + 8*a**o wrt a. 2*a Let y(p) be the third derivative of p**9/60480 + p**8/6720 - p**5/30 - p**2. Let m(u) be the third derivative of y(u). Find the third derivative of m(b) wrt b. 6 Let u(k) be the third derivative of -5*k**4/8 - 3*k**3 - k**2. What is the first derivative of u(r) wrt r? -15 Let f(o) = o**3 + 4*o**2 - 2*o - 2. Let i be f(-3). What is the third derivative of -2*c**2 + 19*c**3 + i*c**3 - 29*c**3 wrt c? 18 Suppose 9*x = 7*x. Let c(w) be the first derivative of -2 + 0*w**3 - 1/2*w**4 + x*w**2 - w. What is the first derivative of c(d) wrt d? -6*d**2 Let s(x) = 4*x**2 + 7*x. Let y(p) be the third derivative of p**5/20 + 7*p**4/24 + p**2. Let n(r) = 6*s(r) - 7*y(r). Find the second derivative of n(k) wrt k. 6 Let h(w) be the second derivative of -4*w**5/5 - 4*w**3/3 + 14*w. Find the second derivative of h(k) wrt k. -96*k Suppose -8*c + 2 + 14 = 0. Let a(x) be the first derivative of -1/2*x**c + 2*x + 2. What is the derivative of a(k) wrt k? -1 Suppose -4*s - 4 + 16 = 0. Suppose s*m = 2*m. What is the derivative of -2*f**3 + m - 1 + 0*f**3 wrt f? -6*f**2 Let f(l) be the first derivative of 5*l**6/6 + 5*l**3/3 + 5. Find the third derivative of f(h) wrt h. 300*h**2 Suppose 0*p = 2*p - 4. Find the third derivative of -5*t + t + 2*t**p + 4*t + 5*t**5 wrt t. 300*t**2 Let r(g) be the third derivative of -g**7/840 + g**6/72 - 4*g**3/3 + 3*g**2. Let p(i) be the first derivative of r(i). Find the third derivative of p(z) wrt z. -6 Let s(q) be the second derivative of 0*q**2 + 1/3*q**3 + 1/10*q**5 + 0 + q + 0*q**4. What is the second derivative of s(i) wrt i? 12*i Suppose -4*n + 8 = -3*s + 4*s, -24 = -3*s - 2*n. Suppose 4*g + 0 = s. Find the second derivative of -4*r**g - 4*r + r**2 + r wrt r. -6 Let b(c) = c**2 + 7*c + 7. Let v be b(-7). Let a(h) = h**3 - 8*h**2 + 8*h - 5. Let r be a(v). Differentiate 4*k**r - k**2 - 1 - 2*k**2 wrt k. 2*k Let g(i) = 57*i**4 - 53*i**2 - 2*i. Let s(r) = -29*r**4 + 27*r**2 + r. Let y(b) = -2*g(b) - 5*s(b). Find the third derivative of y(x) wrt x. 744*x Let l = -1 + 3. Suppose 2*i = -2*i + 8. What is the second derivative of -g**i - 8*g - 2 + l + 6*g wrt g? -2 What is the third derivative of u**2 + 0*u**2 - 4*u**2 - 12*u**6 + 15*u**6 wrt u? 360*u**3 Let f(x) be the first derivative of x**8/336 + x**4/12 - 3*x**2 + 6. Let h(l) be the second derivative of f(l). Find the second derivative of h(r) wrt r. 20*r**3 What is the third derivative of -183*a**5 + 183*a**5 - 10*a**2 + 4*a**6 wrt a? 480*a**3 Let i(l) be the third derivative of 4*l**2 + 0*l + 0*l**6 + 0*l**5 + 0*l**3 - 1/210*l**7 + 1/8*l**4 + 0. What is the second derivative of i(m) wrt m? -12*m**2 Let z = -17 + 25. Differentiate -6 + 4 + 6*u**2 + z + 3 with respect to u. 12*u Let x = 6 - 12. Let r(g) = 4*g + 3. Let w(h) = h - 5 + 3 + 4*h + 5. Let k(j) = x*r(j) + 5*w(j). What is the first derivative of k(p) wrt p? 1 What is the second derivative of -2*c**3 + 12*c - 7*c + 6*c**3 wrt c? 24*c Let i = -11 + 14. What is the second derivative of -5*z - i*z**3 - 5*z + 14*z wrt z? -18*z Let m(u) = -u**3 - 11*u**2 + 11*u + 10. Let t be 11/(3/2 - 2). Let n(y) = y**2 - y - 1. Let c(f) = t*n(f) - 2*m(f). Differentiate c(l) with respect to l. 6*l**2 Let c(m) = m**2. Let d be c(-2). Find the third derivative of -3*s**4 - 3*s**d + 4*s**4 + s**2 wrt s. -48*s Let b(z) = 2*z**2 - 1. Let s be b(-1). Let t(c) = -c + 1. Let q(m) = 5*m - 3. Let y(u) = s*q(u) + 6*t(u). Differentiate y(a) with respect to a. -1 Let a = 44 + -42. Let k(d) be the first derivative of 2 + a*d - 3/2*d**2. What is the derivative of k(p) wrt p? -3 Let x(g) be the third derivative of -g**6/15 + g**3/3 + 12*g**2. Differentiate x(h) wrt h. -24*h**2 What is the third derivative of 9*u**2 + 4*u**5 - 3*u**2 - u**2 + 5*u**2 wrt u? 240*u**2 Let a(p) be the second derivative of 0*p**3 + 0*p**5 - 1/12*p**4 + 0*p**6 + 0*p**2 - 3*p - 1/42*p**7 + 0. What is the third derivative of a(v) wrt v? -60*v**2 Let x(m) = -3*m**4 + 2*m**3 - m**2 + 2*m. Let l(r) = -r + 0*r**2 - r**2 - r**3 + r - r. Let p(g) = 2*l(g) + x(g). Find the third derivative of p(v) wrt v. -72*v Suppose 0 = h + 5*x + 6 - 19, -4*h + 2 = -5*x. Let t = 5 - h. What is the third derivative of 3*d**t - d**4 + 2*d**4 - 5*d**2 wrt d? 24*d Let p(l) be the second derivative of 5*l**4/3 + 7*l**3/2 - 34*l. What is the second derivative of p(w) wrt w? 40 Let k(n) = 6*n**4 + 2*n**2 - 1. Let q(h) = -7*h**4 - 3*h**2 + 2. Let b(m) = 3*k(m) + 2*q(m). Differentiate b(r) wrt r. 16*r**3 Suppose 0*i - 7 = 4*i - 3*s, 4*i + 17 = 5*s. Find the third derivative of 4*x**4 + 6*x**i - 3*x**2 - 5*x**4 wrt x. -24*x Let i(s) = -s**5 + 7*s**3 - 15*s + 7. Let f(n) = n**5 - 6*n**3 + 15*n - 6. Let t(k) = -7*f(k) - 6*i(k). Find the second derivative of t(z) wrt z. -20*z**3 Let t(j) = j**2 + 8*j + 9. Let y be t(-7). What is the derivative of 7*d**y - 2 - 4*d**4 - 7*d**2 wrt d? -16*d**3 Let i = 0 - 1. Let h(m) = -9*m**3 + 2*m**2 - 1. Let u be h(i). Find the second derivative of u + a - 10 + 2*a**2 wrt a. 4 Suppose 2*n - 2*r - 4 = 0, 3*n + 3*r = 7*n - 9. Find the second derivative of -n*c**2 - 2*c**3 + 4*c - 4*c**2 + 7*c**2 wrt c. -12*c Let h = -10 + 20. Suppose -m - m + h = 0. Differentiate 2*x**2 + 4 - 1 - m*x**2 wrt x. -6*x Find the second derivative of 10*b - b + 4*b**2 + 3*b**
{ "pile_set_name": "DM Mathematics" }
Suppose 4*d + 3 = 3*x - 3, d = 5*x - 10. Suppose 4*g + 23 = w, d = -w - 0*g - g + 43. What is the highest common divisor of w and l? 13 Let g(j) = 3*j - 5. Let b be g(4). Suppose 3*l - 32 = b. Suppose 0*t + 3*t = 117. Calculate the greatest common divisor of l and t. 13 Let h(i) = i**3 - 2*i**2 + 3*i - 2. Let m be h(5). Calculate the greatest common factor of m and 11. 11 Let q be 7/35 - 9/(-5). Let k be q/1*(-39)/(-6). What is the greatest common factor of 65 and k? 13 Suppose -69*q = -74*q + 80. What is the greatest common divisor of q and 80? 16 Suppose -2*m + 3*m = -3*y + 107, -25 = -5*m. Suppose -4*p - r + 131 = 0, -5*r + 7 = -5*p + 202. What is the greatest common divisor of y and p? 34 Let h(i) = i**2 + 6. Let c be h(0). Calculate the greatest common divisor of 15 and c. 3 Let b(c) = -c**3 - 6*c**2 - 10*c - 5. Let n be b(-7). Let m = n + 21. Calculate the greatest common divisor of m and 15. 15 Let d be (-4)/(-3) - (-11)/(-33). What is the highest common divisor of 11 and d? 1 Let l(z) = 6*z**2 - 10 - z**2 - 12*z - 6*z**2. Let p be l(-10). What is the highest common divisor of 5 and p? 5 Suppose -n + 13 = 5*i - 10, 3*i - 33 = -3*n. Let v(u) = -u**3 + 9*u**2 - 7*u - 5. Let x be v(n). Calculate the highest common divisor of 30 and x. 3 Suppose -5*f + 3*a + 117 = 0, -4*f + 76 = 5*a + 12. What is the greatest common factor of 3 and f? 3 Suppose -4*g + 10 = -3*g. Let t(s) = 10 + g - s - 5. Let l be t(8). What is the highest common factor of l and 7? 7 Let r be (-2 - -14)/(12/8). Let u(t) = 32*t. Let h be u(4). Suppose -3*p = p - h. Calculate the greatest common divisor of r and p. 8 Let q(g) = g**2 - 8*g + 3. Let j be q(3). Let y = j - -21. What is the highest common divisor of 45 and y? 9 Let f = -28 - -56. What is the highest common divisor of f and 70? 14 Let t(h) = -h**3 - 21*h**2 - 19*h + 29. Let w be t(-20). What is the greatest common factor of 153 and w? 9 Let h(u) = 2*u**3 + 18*u**2 + 10. Let o be h(-9). Suppose 0 = -2*f - 5*k + 85, 76 + 49 = 3*f + 5*k. Calculate the greatest common factor of f and o. 10 Let z = 56 - 24. Let o(q) = -8*q + 44. Let c be o(5). Calculate the greatest common divisor of c and z. 4 Let c be (-32)/(-6) - (-2)/(-6). Suppose -4*q = -4*a + 172, -2*a + 55 = -a + c*q. Calculate the highest common factor of a and 30. 15 Let v be ((-10)/(-3))/((-8)/(-12)). Suppose -v*q + 151 = -189. What is the highest common divisor of q and 17? 17 Let k = -57 + 103. Calculate the greatest common factor of 69 and k. 23 Let g = 16 - 6. Let c be (-7 + g)/(2/6). Calculate the greatest common factor of c and 99. 9 Let p(f) = f**2 - 9*f - 34. Let b be p(13). Calculate the highest common divisor of b and 9. 9 Suppose -9 = 4*h + 7. Let w be (0 + (-35)/4)*h. Calculate the highest common divisor of w and 14. 7 Let w = -170 - -242. Let m be 2 + 1*-2 + 0. Suppose 7*z - 4*z - 27 = m. Calculate the highest common factor of z and w. 9 Suppose -q + 0*q = 4*h - 34, -4*q + 51 = -h. Calculate the highest common divisor of q and 154. 14 Let m(d) = d. Let z(n) = -2*n. Let j(y) = 14*m(y) + 6*z(y). Let f be j(5). Suppose 0 = -i, s - 5*s + 40 = i. Calculate the highest common divisor of s and f. 10 Suppose -3*h + 2*h = 4*y - 13, 0 = 4*h - 5*y - 73. Let q be ((-2 - -2) + 0)/2. Suppose 5*i - 3 - h = q. Calculate the greatest common factor of 12 and i. 4 Let m be 4 + ((-2)/(-2) - 1). Let k = 26 + -22. Calculate the greatest common divisor of m and k. 4 Let h be (129/4)/((-13)/52). Let l = h - -201. Calculate the greatest common factor of l and 8. 8 Let y be 18 + 2/(-2) + 3. Suppose -4*n + 9*n = y. What is the greatest common divisor of n and 32? 4 Let g = 36 + -16. Suppose 0 = 4*m - 6 - 26. What is the highest common divisor of g and m? 4 Suppose -2*j = 3*i - 511 + 53, 3*j = -4*i + 685. Let f = j - 128. What is the greatest common divisor of f and 38? 19 Suppose r + 4 = 2*r. Let s(x) = 3*x**2 - 6*x + 4. Let a be s(r). Calculate the highest common factor of a and 7. 7 Suppose 0 = 6*i - 2*i - 8. Suppose i*b - 16 = -0*a - 4*a, 0 = -a + 3. Let j(d) = -2*d - 4. Let h be j(-5). Calculate the highest common factor of h and b. 2 Let j(d) = -d**2 - 9*d + 4. Suppose -7*f + 3*f = 28. Let r be j(f). Suppose 3*k + 11 = 65. What is the greatest common divisor of k and r? 18 Let n(t) = 4*t + 11. Let v be n(4). Calculate the greatest common divisor of v and 18. 9 Suppose o - 4*o = -51. Let w = o + 18. What is the greatest common factor of 7 and w? 7 Suppose 2*h - 606 = -4*d, 0 = -5*h - 4*d + d + 1494. What is the highest common factor of 27 and h? 27 Let g(m) = m**2 + m + 175. Let j be g(0). What is the highest common divisor of j and 25? 25 Suppose 0 = -w + 3*w. Suppose -8*i + 9*i - 48 = w. Calculate the highest common divisor of 12 and i. 12 Let i = -96 + 248. Suppose 7*d - 740 = -i. Calculate the highest common factor of d and 12. 12 Let p = -81 - -97. Calculate the greatest common factor of 112 and p. 16 Suppose 2*w - 4 = -0*w. Let a be (2 - w/2) + 7. Calculate the greatest common factor of 24 and a. 8 Suppose -3*d + d + 6 = 0. Suppose 0 = -2*u + 3 + 3. Calculate the greatest common factor of u and d. 3 Let m = -50 - -98. Calculate the greatest common factor of 6 and m. 6 Suppose 2*y - 43 = 5*m + 38, 2*m + 138 = 3*y. Calculate the greatest common factor of y and 32. 16 Let x(f) = 18*f + 8. Let i be x(7). Suppose -4*u - t = -87, -5*t - 29 = 5*u - i. What is the greatest common divisor of u and 33? 11 Let c(d) = -8*d**3. Let m be c(-1). Let x = -5 + m. Let r be (21 - -1)*x/6. What is the highest common divisor of r and 88? 11 Let j be (11/2)/((-12)/(-24)). Calculate the greatest common divisor of 55 and j. 11 Let b = 20 + 25. What is the greatest common divisor of 27 and b? 9 Let y be ((-8)/(-12) - (-561)/9) + -3. Calculate the highest common divisor of y and 10. 10 Let x be 6/9*27/1. What is the greatest common factor of 30 and x? 6 Suppose -w + 18 = 2*l, 49 + 6 = 3*w + 5*l. Let m be (2 - -2) + -3 - -3. Calculate the highest common factor of m and w. 4 Let t be 22/6 + 6/18. Suppose -2*g - 7 = 3*u, -5*g + 3*u - 5*u + 10 = 0. Calculate the greatest common divisor of t and g. 4 Let w = -685 - -368. Let a be 4/(-6) - (-1679)/3. Let b = w + a. What is the greatest common divisor of b and 22? 22 Let d = 34 - 17. What is the greatest common factor of 68 and d? 17 Suppose 0 = 2*l + 5*j - 8 - 67, -3*l - 2*j = -118. Calculate the highest common divisor of 10 and l. 10 Suppose j + 519 = 4*j. Let u = j + -58. What is the highest common factor of u and 46? 23 Let j be (8/(-6)*-6)/2. Suppose -71 = -2*b - 5*d, -122 + 50 = -3*b + j*d. Suppose -3*z - z = -16. What is the greatest common factor of z and b? 4 Let u(t) = t**2 + 7*t + 6. Let f be u(-7). Suppose -3 = q - f. Suppose -4*d + d = o - 12, -57 = -4*o - q*d. What is the highest common factor of 3 and o? 3 Let c(t) = 71*t**3 + t. Let g be c(1). Suppose 3*w - w - 4 = 0. Suppose 0 = -w*h - 0*h + 16. Calculate the highest common divisor of h and g. 8 Let a(w) = 506*w - 3. Let n be a(3). Let m be n/12 - (-4)/(-16). Calculate the highest common factor of 14 and m. 14 Let t be (-3)/(2 - (-37)/(-18)). Let l(n) = -n**3 - 2*n**2 - 2*n - 2. Let v be l(-2). Let o = v - -4. Calculate the highest common divisor of t and o. 6 Let d be (-8 - (6 - 17)) + 4/2. Let w(c) = -c**3 - 7*c**2 + 2. Let k be w(-7). Suppose k*n - 25 = n. Calculate the greatest common factor of d and n. 5 Suppose -k + 21 = 5*x, -k - 2*x = 10 - 22. Suppose -3*s + 96 = -s. What is the highest common divisor of k and s? 6 Suppose 2*t + 70 = 7*t. What is the greatest common factor of 14 and t? 14 Let j be ((-96)/(-9))/((-1)/(-3)). Suppose 0*d - 12 = -2*d. Suppose -22 = -4*k - d. What is the greatest common factor of j and k? 4 Let w be -3 - (-12)/(1 + 1). Suppose 0 = w*x - 531 + 69. Suppose -6*j - 70 = -11*j. What is the highest common divisor of x and j? 14 Let l be 8*1*(-2 + 18/3). Suppose -2*p + 0*p + 160 = 0. What is the greatest common divisor of p and l? 16 Let p(s) = -s - 1. Let g be p(-6). Suppose -4*u = -2*x + 88, x - g*x = 4*u - 128. What is the greatest common divisor of 9 and x? 9 Suppose 1215 = -5*y + 3*j, -2*y = -5*j + 645 - 140. Let z be 2/3 - y/(-9). Let f be (-6)/12*z*1. Calculate the greatest common divisor of 143 and f. 13 Let p = -29 + 64. Suppose -5*b -
{ "pile_set_name": "DM Mathematics" }
is the nearest to i in -0.3, -25, -0.4? -0.4 Let f = 18.96 - -0.04. Let c be 18/(-16) - ((-31)/(-8) + 14 + -18). What is the closest to f in -2, c, 0? 0 Let j = -266 + 262. Let u = -2.994 - 0.006. What is the nearest to 2/13 in 11, u, 0.4, j? 0.4 Let u = 115 + -110.21. Let w = u - 4.39. Which is the closest to -1? (a) 2 (b) w (c) -5/6 c Let o = -50335/28 + 12582/7. Let l = 0 + 0.02. Let u = l + 0.18. What is the closest to o in 5, 2/19, u? 2/19 Let w be 385/15*1 + 2/6. Let k(l) = 2*l**2 - 52*l - 4. Let x be k(w). Let u be -1*(3/(-2) - -2). Which is the nearest to u? (a) -1 (b) x (c) 2/3 a Let u = 3900 + -3941. Which is the closest to 1? (a) u (b) -5 (c) 2/27 (d) 3 c Let v = -91609 - -91605. Suppose 5*f - 4 = 2*g, -2*f = -4*g + g - 6. Let y = -0.2 + 0.4. Which is the nearest to v? (a) y (b) g (c) 2 b Let w be (-5 - 3) + 420/50. Let r be (2*-1 - -1) + 1. Let y be (-48)/(-28) + -2 - (-64)/(-168). What is the closest to -0.1 in w, y, r? r Let x = -2224 + 2224. Let q = -98 - -97.53. Let k = q + 0.07. What is the nearest to 2/15 in k, x, 2? x Let g be ((-16)/2)/2*(-2 + 3). Let q = -35 + 35.025. Let m = 0.075 + q. Which is the closest to m? (a) g (b) 0.2 (c) -1/4 b Let y = -4.654 + 22.654. Which is the nearest to -0.1? (a) 3 (b) 1/7 (c) 22 (d) y b Let w(i) = -i**3 + 9*i**2 - i - 57. Let v be w(8). What is the closest to -2/7 in v, 0, -0.1, 5? -0.1 Let g = 0.0437 + -0.2537. Which is the nearest to 1/5? (a) -3 (b) 0.4 (c) -2/7 (d) g b Let m = 2.2 - 0.4. Let n = -1393.8 - -1397. Let j = m + n. What is the closest to 1 in 2, j, -1/8? 2 Let o = -3014 - -3018. What is the nearest to 2/3 in -2.5, -4, o? -2.5 Let q be 946/158 + (217/(-7) - -25). What is the closest to q in 3, -3, -1/8? -1/8 Let p be (10/9)/((-92295)/(-23733)). Let m = 4 - 9. What is the nearest to p in 20, 5/2, -4, m? 5/2 Let j = -34467 - -34750. Which is the nearest to 0? (a) -3 (b) j (c) 0.5 (d) 2/3 c Let i = -8112 + 8111.7. Which is the closest to -1/5? (a) 5 (b) i (c) -0.52 (d) 3 b Let t = 159/10 - 1809/110. Let w = 342 + -345. What is the nearest to w in t, 1/2, -5/6? -5/6 Let w = 19565 - 19564. Which is the nearest to -0.066? (a) -0.1 (b) w (c) 2 a Let m = -2.84 - 5.36. Let b = 8.3 + m. What is the closest to b in -6/11, 3, 0? 0 Let g = -2855.8 - -2856. What is the closest to -3.1 in g, -6, -4? -4 Let o = -4 - -1. Let m = 0.45 - 0.25. Let c(z) = 1466*z + 23458. Let p be c(-16). What is the closest to 11 in p, m, o? p Let r = -1368/5 - -274. Let v(q) = -10*q + 233. Let f be v(24). Which is the closest to 0? (a) -2/13 (b) -3/4 (c) f (d) r a Let p = -18/7 + 65/28. Which is the closest to -1? (a) 24 (b) 2 (c) -0.4 (d) p c Let o(m) = -m**3 - 3*m**2 + 5*m + 3. Let r be o(-4). Let q = 72/677 - 2175/1354. Which is the closest to r? (a) 4 (b) q (c) 5 b Let a = -98.4 + 94.4. What is the nearest to -4 in a, -2, -12? a Let f = -297 + 300. Let t be ((-40)/(-72))/(2/6). Which is the closest to -1? (a) f (b) -0.13 (c) t b Let t = 0.05 + 0. Let y = 0.03394 + 0.46606. Which is the nearest to y? (a) -0.5 (b) 0.2 (c) t b Let m = -870/53 - -2716/159. Let w = -39 + 38.8. Which is the closest to m? (a) -1 (b) -0.3 (c) w (d) 0.4 d Let u = 589.8 - 590. What is the closest to -2/5 in 0, -184, u? u Let k = 0.64 - -0.38. Let i = -4.02 + k. What is the closest to 2 in 12, 0.2, i? 0.2 Let h = 87 + 1. Suppose p - 16 = -2*r + 12, 4*p + 2*r = h. Let j be (-15)/(-22) + (-10)/p. What is the nearest to -1/2 in 4, 3, j? j Let y be 2 + -3 - 27/(-36). Let v = -4654 - -18615/4. Which is the closest to v? (a) -2/5 (b) y (c) -3 b Let j = 3 - -13. Suppose -4 = 4*y - j. Suppose 2*l + y*c + 2*c + 18 = 0, 5*l + 2*c + 3 = 0. What is the nearest to l in -5, 2, -0.2? 2 Suppose 8*s + 22 + 34 = 0. Let g be 1/7 + (-125)/s. Which is the nearest to 0? (a) g (b) 0.4 (c) 0.01 c Let h be (-3)/(-15) + 63/(-165). Suppose -6*s + 2*s + 0*s = 0. Let n be s/(-12) - (-1)/(-2). Which is the nearest to n? (a) 3/5 (b) 0.3 (c) h c Let b = -5704 - -5706. What is the nearest to -0.1 in 0.6, -5.7, b? 0.6 Let m = -12.2 - -20.3. Let p = -8.1 + m. Which is the closest to -15? (a) p (b) 2 (c) -0.5 c Let u = 0.15 + -18.15. What is the nearest to u in -1, -4, 0.6, 3? -4 Let n = -65557 - -457929/7. Let v = n + 19463/140. Let x = 1/5 - v. Which is the nearest to 1/2? (a) 1/3 (b) 0.4 (c) x b Let j = -189 + 188. Let f be 90/200 + (-1)/4. What is the closest to -2/3 in f, 2, j? j Let f = -1081.1 + 1081. Let m be -2*(-1 - (-4)/3). What is the closest to m in -4, f, -2? f Let l be (-11)/(-7) - (1 - -8 - 7). Which is the nearest to -1? (a) 0 (b) l (c) 278 b Let v be 3 + (-15)/(3150/20) + 82/(-21). Which is the closest to 1/6? (a) v (b) 0.07 (c) 1 b Let y be (-2)/(-16) - 3822/31472. Let m = -847/1124 + y. What is the closest to -3 in m, -5, -2/5? -5 Let o be ((-2360)/944)/(-1 - (-2)/(-4))*-1. What is the nearest to o in -8/7, -0.09, 0? -8/7 Let z be (-2737)/476 - -6*1. Let b = -4 - -1. What is the closest to b in 1/2, z, 8? z Let z = -41 + 42. Let q = -10315/4 - -2579. What is the closest to z in 3, q, 0.5, 2/7? 0.5 Let m = 301.7 - 301.73. Let o = -237/2068 - -579569/1664740. Let d = o - -6/115. What is the closest to d in -0.3, -3, m? m Let j = -16 - -16. Let n be j - 7/((-252)/(-8)). Let l = -2.357 - -0.357. Which is the nearest to 1/2? (a) n (b) l (c) -4 a Let g = 27802 - 27896. What is the nearest to -2 in g, -2, -11? -2 Let x = -216 - -195.8. Let y = x + 19.8. Let o = 2.5 - -0.5. Which is the nearest to 0? (a) 4 (b) y (c) o b Let g = 1203 + -1116.9. Let l = -355 - -269. Let b = g + l. What is the nearest to -4 in b, 3, -2/9? -2/9 Let k = -2 - -6. Let w = k + -1. Let t be 0*(-6)/4*(920/(-60))/(-46). Which is the nearest to t? (a) 4 (b) -2 (c) w b Suppose -42 = -2*g - 4*n, -4*n + 108 = 4*g - 2*n. Suppose s + s + 3*b = 18, 0 = 3*s + 5*b - g. What is the closest to 1/4 in 0.2, -4, s? 0.2 Let w = -2.89822 - 0.10178. Which is the nearest to -0.2? (a) -16 (b) -0.5 (c) w (d) 0.049 d Let m = 8/231 - 15100/231. Let u = m - -584/9. Suppose 4*z - k + 7 = 28, -2*z = -4*k - 28. Which is the closest to -22/7? (a) 1 (b) u (c) z b Let q = -4.51 + 94.51. Let w = q + -90.1. Which is the nearest to 0.1? (a) w (b) -23 (c) 1 (d) 2 a Let g = -1 + -181. Let x = -190 - g. What is the nearest to 1 in x, 1, -0.1? 1 Let h(w) = w**3 - 2*w**2 - 14*w + 1. Let g be h(5). Which is the closest to 1/2? (a) 0.3 (b) g (c) 2/19 (d) 19 a Let h = 17740.6 - 17741. Suppose -4*t = -2*t. Let m = -3 - -7. What is the nearest to t in h, m, -6? h Let i = -682.5 - -677. Let u = -5.5 - i. Let m = -3 - -6. Which is the closest to 1/11? (a) m (b) 2/9 (c) u c Let m = 1/150 + 59/150. Let k = -475 - -235. Let g = -241 - k. Which is the closest to g? (a) -4/5 (b) m (c) -0.03 a Let w(x) = -x - 1. Let o be w(4). Let u = -0.815 - -2.815. Let b(i) = -i**3 - 27*i**2 - 25*i + 37. Let n be b(-26). What is the nearest to u in n, 2/5, o? 2/5 Suppose 8*u + 14 = -3*n + 9*u, -n - 6 = u. Let s = 1/9 + -4/9. Which is the nearest to s? (a) -2 (b) 16 (c) n a Let v = 3621 - 18107/5. What is the nearest to v in 2/7, -2/5, 5, -1/4? -2/5 Suppose -245*y + 148*y = -2037. Let v = 0.8 - -4.2. What is the closest to -4 in -3/7, v, y? -3/7 Let x = -248 - -244. Let v be 32/(-18) - -3*8/12. Which is the nearest to 0? (a) x (b) 2/3 (c) v c Let s = 15.144 + -19.144. What is the nearest to -121 in 0.3, s, -3/14? s Let b = 1836 + -994. Let g = 839 - b. What is the nearest to 0 in 2/11, g, -27? 2/11 Let l = -443/8 - -1345/24. Which is the closest to -2/5? (a) -2/3 (b) l (c) 2/1729 a Suppose -14 = 3*s - 5*h, 0 = 6*s - 7*s - 2*h + 10. Let f = -27.7 + 30.7. What is the closest to s in 0.5, -5, f, -3? f Let r be 66096/(-15912) - 4/(-26). Suppose v = -0*v. What is the nearest to v in 2, -1/4, r, 5? -1/4 Let o = -3.95 - -4. Let n = -1.95 - o. Suppose 2*w + 522 = -3*i + 502, -5*w = -i + 16. What is the nearest to n in 0.1, -0.2, i? -0.2 Let z = 15.8 - 318.8. Let w = z - -301.3. Which is the closest to w? (a) 2 (b) -3 (c) -0.1 b Let m(j) be the first derivative of j**4/4 - 13*j**3/3 + 17*j**2 + 9*j - 145. Let h be m(4). What is the nearest to 0.1 in -0.2, h, 18? -0.2 Let u = 370 + -372. Which is the closest to -134? (a) u (b) 0 (c) 5
{ "pile_set_name": "DM Mathematics" }