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rounded to the nearest 1000000? 3561000000 What is 9.16305 rounded to two decimal places? 9.16 What is 3078730 rounded to the nearest 1000000? 3000000 What is 216045 rounded to the nearest 1000? 216000 Round 356126 to the nearest ten thousand. 360000 Round -11.604578 to 0 decimal places. -12 What is 229.3172 rounded to the nearest 10? 230 What is 99.4559 rounded to the nearest one hundred? 100 What is 855891.1 rounded to the nearest 10000? 860000 Round -244015 to the nearest 10000. -240000 What is 0.0014941261 rounded to seven decimal places? 0.0014941 What is 0.00003169704 rounded to 7 dps? 0.0000317 Round 0.001385173 to 4 decimal places. 0.0014 What is 292.81307 rounded to the nearest 10? 290 Round -30324400 to the nearest 100000. -30300000 What is 0.0000004117418 rounded to seven decimal places? 0.0000004 Round 49272.27 to the nearest one thousand. 49000 Round -12343.007 to the nearest 1000. -12000 Round 12554.33 to the nearest 1000. 13000 What is -142.86354 rounded to the nearest ten? -140 Round -71973190 to the nearest 1000000. -72000000 What is 1.0215386 rounded to three decimal places? 1.022 What is -1743.2 rounded to the nearest one hundred? -1700 Round 21655400 to the nearest one hundred thousand. 21700000 What is 232295820 rounded to the nearest 100000? 232300000 What is 0.0046815932 rounded to six decimal places? 0.004682 What is 1.23499258 rounded to one decimal place? 1.2 What is -0.8465477 rounded to 2 dps? -0.85 Round -35154210 to the nearest one hundred thousand. -35200000 What is 950.12 rounded to the nearest 10? 950 Round -21605.83 to the nearest one thousand. -22000 Round -0.0001086457 to five decimal places. -0.00011 Round -640.927 to zero decimal places. -641 What is 1212.29 rounded to the nearest one thousand? 1000 Round 0.000462958 to four decimal places. 0.0005 What is 0.00061703 rounded to six decimal places? 0.000617 What is 22316850 rounded to the nearest 10000? 22320000 Round 0.001468 to 3 dps. 0.001 Round 0.685831 to one dp. 0.7 Round -0.05234986 to five dps. -0.05235 Round 57.8141 to zero dps. 58 Round -0.05410183 to 3 dps. -0.054 Round -0.0585302 to two decimal places. -0.06 What is 1786020 rounded to the nearest 1000? 1786000 Round 88790.6 to the nearest one hundred. 88800 What is -0.0038889836 rounded to 4 decimal places? -0.0039 Round -21878.58 to the nearest 10. -21880 What is 0.0488054 rounded to four decimal places? 0.0488 Round 0.00000167296 to 7 dps. 0.0000017 What is -155198100 rounded to the nearest 100000? -155200000 What is -308.43 rounded to the nearest ten? -310 What is 2.797028 rounded to 2 decimal places? 2.8 What is -0.1378739 rounded to five decimal places? -0.13787 Round -168373150 to the nearest one million. -168000000 What is -354.051 rounded to the nearest ten? -350 What is 127365.11 rounded to the nearest ten thousand? 130000 Round 3.80072 to the nearest integer. 4 What is 94202800 rounded to the nearest one million? 94000000 Round -0.0014223977 to six dps. -0.001422 What is 0.00024482593 rounded to 5 dps? 0.00024 Round 48.130041 to the nearest integer. 48 Round 2901820 to the nearest one hundred thousand. 2900000 Round -1.6243128 to 2 decimal places. -1.62 What is -1345120 rounded to the nearest one thousand? -1345000 Round 0.685445 to one dp. 0.7 What is -19924.6 rounded to the nearest one hundred? -19900 Round -208.2526 to the nearest ten. -210 What is 0.13360675 rounded to 4 decimal places? 0.1336 Round 0.001540608 to four dps. 0.0015 What is -203983790 rounded to the nearest one million? -204000000 Round 24340404 to the nearest one million. 24000000 Round 124.92467 to the nearest ten. 120 What is -0.00479413 rounded to 3 dps? -0.005 What is -1922320 rounded to the nearest 100000? -1900000 What is 0.000002469248 rounded to seven decimal places? 0.0000025 What is -0.003819493 rounded to 5 decimal places? -0.00382 Round 386868000 to the nearest 1000000. 387000000 Round 524258 to the nearest ten thousand. 520000 Round -625862.37 to the nearest one thousand. -626000 What is -2018.127 rounded to the nearest 100? -2000 What is -2444500 rounded to the nearest one million? -2000000 What is -3486.315 rounded to the nearest 100? -3500 What is 0.660904 rounded to 2 dps? 0.66 What is -620708 rounded to the nearest 1000? -621000 What is 1.3380529 rounded to 1 dp? 1.3 Round -0.00014938182 to six dps. -0.000149 What is -0.00106485 rounded to four decimal places? -0.0011 Round 204.28 to the nearest 100. 200 What is -0.6878234 rounded to 4 dps? -0.6878 Round 9482.26 to the nearest 1000. 9000 Round -6332.9 to the nearest one hundred. -6300 Round -0.000167157619 to five decimal places. -0.00017 What is 888.3697 rounded to the nearest ten? 890 What is -369.804 rounded to the nearest ten? -370 What is 57.44505 rounded to the nearest integer? 57 Round 0.127775 to 3 dps. 0.128 What is 0.95936 rounded to one decimal place? 1 What is -0.0038123534 rounded to 6 decimal places? -0.003812 Round 7140.59 to the nearest 1000. 7000 Round -477431900 to the nearest 1000000. -477000000 What is -28619400 rounded to the nearest one million? -29000000 Round -0.000232614 to 5 decimal places. -0.00023 Round 0.000003514619 to seven decimal places. 0.0000035 What is 0.4482328 rounded to 2 decimal places? 0.45 What is 0.000001057604 rounded to 7 decimal places? 0.0000011 What is 0.6370646 rounded to two dps? 0.64 What is 0.01529849 rounded to 4 dps? 0.0153 Round -0.30531534 to two dps. -0.31 Round -11.65609 to 2 dps. -11.66 What is 124.58319 rounded to one dp? 124.6 What is -2.4177691 rounded to the nearest integer? -2 Round -0.0000299525 to 5 decimal places. -0.00003 What is -0.001533408 rounded to three dps? -0.002 What is 0.00034750997 rounded to seven decimal places? 0.0003475 Round -261132 to the nearest 100. -261100 What is -0.0000597158 rounded to five decimal places? -0.00006 Round 1373953000 to the nearest one million. 1374000000 What is -0.008201 rounded to 4 decimal places? -0.0082 Round 3.0128614 to 1 dp. 3 Round -1351779700 to the nearest one million. -1352000000 What is 6641.259 rounded to the nearest one thousand? 7000 What is 91.963 rounded to the nearest one hundred? 100 What is -20422.35 rounded to the nearest one thousand? -20000 What is 0.007349703 rounded to 5 dps? 0.00735 Round -0.0000088557 to seven decimal places. -0.0000089 Round -31547870 to the nearest 10000. -31550000 What is 407.869 rounded to the nearest 10? 410 Round -4.06676 to 1 dp. -4.1 What is 0.007262067 rounded to 3 dps? 0.007 Round -0.617799 to 1 dp. -0.6 What is -36857808 rounded to the nearest one million? -37000000 Round 0.1140987 to 3 decimal places. 0.114 Round -4.709082 to three dps. -4.709 What is 0.000002727693 rounded to seven decimal places? 0.0000027 What is -0.000070435 rounded to 5 decimal places? -0.00007 What is 2061928900 rounded to the nearest 1000000? 2062000000 Round -0.356182 to two decimal places. -0.36 What is -0.2229687 rounded to 1 dp? -0.2 Round 0.00022896062 to six decimal places. 0.000229 What is 15430.3 rounded to the nearest 10000? 20000 What is 33415.95 rounded to the nearest 10000? 30000 Round 1814.2102 to the nearest 100. 1800 What is 2200157 rounded to the nearest ten thousand? 2200000 What is 20.05906 rounded to 0 dps? 20 What is -209.599 rounded to the nearest ten? -210 Round 0.000142533 to 5 dps. 0.00014 Round 58.88 to the nearest 100. 100 What is -9886200 rounded to the nearest 10000? -9890000 What is 106802 rounded to the nearest 1000? 107000 Round -0.0002156765 to 6 decimal places. -0.000216 Round -61355000 to the nearest 1000000. -61000000 Round -388.5694 to the nearest one hundred. -400 Round 0.2042279 to 4 dps. 0.2042 What is -0.0341016 rounded to two dps? -0.03 What is 0.00002612775 rounded to five decimal places? 0.00003 What is -0.16041698 rounded to four dps? -0.1604 What is -0.0509853 rounded to two decimal places? -0.05 Round 57791.3 to the nearest one thousand. 58000 Round 0.7916679 to 2 dps. 0.79 Round 13874.446 to the nearest ten. 13870 Round 0.000006426954 to 7 dps. 0.0000064 Round 20766543 to the nearest one million. 21000000 What is 134326.3 rounded to the nearest 100000? 100000 Round -5.178936 to zero dps. -5 What is -2288280 rounded to the nearest 10000? -2290000 What is 21.31316 r
{ "pile_set_name": "DM Mathematics" }
1 g, 1 n, and 1 d when three letters picked without replacement from mdngnngggngn. 5/44 What is prob of picking 3 v when three letters picked without replacement from {v: 4, k: 2}? 1/5 Calculate prob of picking 2 c and 2 z when four letters picked without replacement from czcqcqfqczcqqqfqq. 1/238 Three letters picked without replacement from {i: 6, g: 4, d: 5}. What is prob of picking 3 g? 4/455 Two letters picked without replacement from {t: 3, i: 10, k: 3, h: 2, l: 2}. What is prob of picking 1 h and 1 l? 2/95 Four letters picked without replacement from lolloololnooollllool. Give prob of picking 1 l and 3 o. 56/323 Two letters picked without replacement from qsysehmqysym. What is prob of picking 1 q and 1 m? 2/33 Four letters picked without replacement from ccnnnccc. Give prob of picking 4 c. 1/14 Three letters picked without replacement from {u: 1, s: 7}. Give prob of picking 2 s and 1 u. 3/8 Three letters picked without replacement from ddddddddddddxdd. What is prob of picking 3 d? 4/5 Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {a: 2, j: 2, t: 4, r: 2, h: 4, s: 1}. 4/105 Four letters picked without replacement from {j: 17, f: 1}. What is prob of picking 1 f and 3 j? 2/9 What is prob of picking 3 a when three letters picked without replacement from {r: 2, a: 4}? 1/5 What is prob of picking 2 j and 2 l when four letters picked without replacement from {j: 2, i: 2, l: 11}? 11/273 Two letters picked without replacement from uiiuiii. Give prob of picking 2 u. 1/21 Two letters picked without replacement from vditzts. Give prob of picking 1 s and 1 t. 2/21 Calculate prob of picking 2 y and 1 p when three letters picked without replacement from {y: 12, e: 1, p: 6}. 132/323 Two letters picked without replacement from xczcoomxvxxmxxxzom. What is prob of picking 1 v and 1 o? 1/51 Calculate prob of picking 4 a when four letters picked without replacement from aqaqaa. 1/15 Four letters picked without replacement from {z: 1, d: 3, p: 4, o: 4, f: 2}. Give prob of picking 2 d, 1 f, and 1 p. 24/1001 Two letters picked without replacement from {y: 7, l: 2}. Give prob of picking 2 y. 7/12 Three letters picked without replacement from cdjdwjdjcdjcddw. What is prob of picking 2 c and 1 w? 6/455 Two letters picked without replacement from tzetzhhxsthhte. Give prob of picking 1 h and 1 t. 16/91 What is prob of picking 2 q and 1 j when three letters picked without replacement from uwuruujwqjuqqurw? 3/280 What is prob of picking 1 i, 1 m, and 1 o when three letters picked without replacement from miiiiioiiioioiiii? 39/680 Three letters picked without replacement from {s: 2, t: 17}. What is prob of picking 1 t and 2 s? 1/57 What is prob of picking 1 f, 2 i, and 1 j when four letters picked without replacement from jiujiujljdfdfd? 8/1001 What is prob of picking 4 w when four letters picked without replacement from {w: 11, y: 1}? 2/3 Four letters picked without replacement from ililcps. Give prob of picking 1 c, 1 s, and 2 i. 1/35 Four letters picked without replacement from ddsndndrdrsqdrr. What is prob of picking 1 q, 1 d, and 2 n? 2/455 Two letters picked without replacement from wfd. What is prob of picking 2 w? 0 What is prob of picking 1 b, 1 v, and 1 z when three letters picked without replacement from {v: 5, l: 8, b: 2, z: 3, j: 1}? 10/323 Four letters picked without replacement from {r: 2, x: 1, k: 3, t: 3, j: 1, s: 3}. Give prob of picking 2 s and 2 t. 9/715 Calculate prob of picking 2 p when two letters picked without replacement from {p: 10, a: 2}. 15/22 What is prob of picking 2 k and 1 l when three letters picked without replacement from {l: 5, k: 8}? 70/143 Calculate prob of picking 1 q and 1 i when two letters picked without replacement from {x: 7, i: 2, q: 4}. 4/39 What is prob of picking 1 j and 1 u when two letters picked without replacement from {t: 1, y: 2, v: 2, j: 3, u: 4, e: 8}? 6/95 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {d: 1, s: 1, o: 2, t: 1, y: 1, i: 1}. 2/21 Calculate prob of picking 2 s when two letters picked without replacement from ssss. 1 Three letters picked without replacement from {g: 3, s: 15}. Give prob of picking 3 s. 455/816 What is prob of picking 1 s and 1 p when two letters picked without replacement from {z: 5, g: 4, p: 5, s: 1, o: 5}? 1/38 Calculate prob of picking 2 f when two letters picked without replacement from {n: 2, a: 2, f: 2, u: 2}. 1/28 Two letters picked without replacement from hwh. What is prob of picking 2 h? 1/3 What is prob of picking 1 w and 1 z when two letters picked without replacement from mwmzzmzwm? 1/6 What is prob of picking 2 t when two letters picked without replacement from tssststtktsks? 5/39 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {u: 1, i: 1, s: 1, o: 12, x: 1, j: 4}. 1/190 Three letters picked without replacement from zrzrhzhzhzzhh. What is prob of picking 1 z, 1 h, and 1 r? 30/143 Three letters picked without replacement from {s: 4, u: 14}. Give prob of picking 3 s. 1/204 What is prob of picking 2 j when two letters picked without replacement from {j: 2, u: 1, f: 2, h: 1, k: 1}? 1/21 What is prob of picking 2 c when two letters picked without replacement from {c: 6, n: 13}? 5/57 Three letters picked without replacement from {n: 7, r: 7}. What is prob of picking 1 n and 2 r? 21/52 Calculate prob of picking 3 o when three letters picked without replacement from ozooozozoozzzzozozzo. 2/19 Two letters picked without replacement from oymmmmmxmrmormyxm. Give prob of picking 1 x and 1 y. 1/34 Four letters picked without replacement from tugvtku. What is prob of picking 3 t and 1 g? 0 Two letters picked without replacement from hshh. Give prob of picking 2 h. 1/2 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from ujuiioiuoo. 1/5 Three letters picked without replacement from {u: 4, y: 2, s: 1}. What is prob of picking 1 s, 1 u, and 1 y? 8/35 What is prob of picking 1 y and 1 x when two letters picked without replacement from {x: 2, y: 1, d: 14}? 1/68 Calculate prob of picking 1 j, 2 k, and 1 v when four letters picked without replacement from vjkkkjekvjjkvvvjkk. 35/204 Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, i: 13, b: 5}. 1/190 Three letters picked without replacement from {r: 4, x: 3}. What is prob of picking 3 x? 1/35 What is prob of picking 1 p and 1 x when two letters picked without replacement from {d: 1, x: 1, p: 1}? 1/3 Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {f: 2, p: 4, h: 1, c: 2}. 2/9 What is prob of picking 2 n and 1 q when three letters picked without replacement from qqnnqqqqqn? 7/40 What is prob of picking 1 z, 1 m, 1 l, and 1 f when four letters picked without replacement from {l: 2, m: 1, f: 4, u: 6, k: 1, z: 4}? 8/765 Calculate prob of picking 1 o, 1 e, and 1 f when three letters picked without replacement from qoqggqfgexfegeq. 6/455 Two letters picked without replacement from {y: 1, j: 1, m: 1}. Give prob of picking 1 y and 1 m. 1/3 What is prob of picking 2 w when two letters picked without replacement from {w: 3, a: 2, i: 3}? 3/28 Calculate prob of picking 4 q when four letters picked without replacement from qqqqrrqqrrrqqqqqqq. 143/612 Two letters picked without replacement from {n: 4, g: 2, i: 9, d: 4}. Give prob of picking 1 g and 1 n. 8/171 Calculate prob of picking 3 p and 1 i when four letters picked without replacement from {p: 4, g: 3, r: 3, i: 1}. 2/165 Two letters picked without replacement from kjlkemel. What is prob of picking 2 l? 1/28 Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {p: 3, e: 1, y: 1, z: 8, s: 5, i: 2}. 1/76 Calculate prob of picking 3 x and 1 y when four letters picked without replacement from xaaeeauexuayeeeexx. 1/765 Three letters picked without replacement from vjcxxavt. What is prob of picking 2 x and 1 j? 1/56 Calculate prob of picking 2 t and 2 o when four letters picked without replacement from ootooootto. 3/10 What is prob of picking 1 f and 1 j when two letters picked without replacement from jjjfjjjjjjjjjjjjjj? 1/9 Two letters
{ "pile_set_name": "DM Mathematics" }
of 284890? 2, 5, 31, 919 List the prime factors of 525319. 47, 11177 List the prime factors of 16553477. 16553477 List the prime factors of 5659168. 2, 176849 What are the prime factors of 1899810? 2, 3, 5, 11, 19, 101 What are the prime factors of 104693? 104693 What are the prime factors of 259998? 2, 3, 17, 2549 List the prime factors of 8759579. 8759579 What are the prime factors of 258007? 59, 4373 What are the prime factors of 1921633? 7, 39217 List the prime factors of 617814. 2, 3, 17, 673 What are the prime factors of 7649327? 7, 71, 15391 List the prime factors of 784161. 3, 7, 461 What are the prime factors of 145398? 2, 3, 11, 2203 What are the prime factors of 1634299? 857, 1907 What are the prime factors of 4997198? 2, 2498599 What are the prime factors of 460753? 31, 89, 167 What are the prime factors of 1155131? 89, 12979 List the prime factors of 2772515. 5, 554503 List the prime factors of 489388. 2, 122347 What are the prime factors of 628941? 3, 209647 List the prime factors of 47201. 7, 11, 613 List the prime factors of 262251. 3, 11, 883 What are the prime factors of 2700630? 2, 3, 5, 37, 811 What are the prime factors of 634318? 2, 317159 What are the prime factors of 50621? 223, 227 What are the prime factors of 1467390? 2, 3, 5, 41, 1193 What are the prime factors of 349103? 59, 61, 97 What are the prime factors of 949898? 2, 474949 List the prime factors of 47244. 2, 3, 31, 127 What are the prime factors of 121471? 7, 37, 67 What are the prime factors of 983955? 3, 5, 7, 9371 List the prime factors of 31368024. 2, 3, 29, 83, 181 List the prime factors of 3555983. 19, 211, 887 List the prime factors of 316068. 2, 3, 26339 What are the prime factors of 392790? 2, 3, 5, 13093 List the prime factors of 1662842. 2, 19, 43759 What are the prime factors of 1158006? 2, 3, 17, 11353 List the prime factors of 1084596. 2, 3, 19, 67, 71 What are the prime factors of 84880? 2, 5, 1061 What are the prime factors of 1616870? 2, 5, 17, 9511 List the prime factors of 4959356. 2, 1239839 List the prime factors of 1551136. 2, 48473 List the prime factors of 379925. 5, 7, 13, 167 List the prime factors of 5023375. 5, 7, 5741 List the prime factors of 7637706. 2, 3, 141439 List the prime factors of 49042. 2, 7, 31, 113 What are the prime factors of 89729? 53, 1693 List the prime factors of 548182. 2, 17, 23, 701 What are the prime factors of 1395056? 2, 13, 19, 353 What are the prime factors of 5684684? 2, 101, 14071 What are the prime factors of 401607? 3, 44623 What are the prime factors of 1259037? 3, 13, 17, 211 What are the prime factors of 11742853? 73, 160861 What are the prime factors of 160922? 2, 17, 4733 List the prime factors of 4043963. 7, 11, 29, 1811 List the prime factors of 4430373. 3, 1476791 What are the prime factors of 11216489? 107, 104827 What are the prime factors of 773766? 2, 3, 7, 23, 89 List the prime factors of 863726. 2, 431863 List the prime factors of 23726590. 2, 5, 2372659 What are the prime factors of 39093? 3, 83, 157 List the prime factors of 10022251. 10022251 What are the prime factors of 1961449? 7, 280207 List the prime factors of 462479. 19, 101, 241 What are the prime factors of 11511800? 2, 5, 57559 What are the prime factors of 136700? 2, 5, 1367 List the prime factors of 8999019. 3, 29, 1277 What are the prime factors of 82085? 5, 16417 What are the prime factors of 7852295? 5, 11, 12979 What are the prime factors of 11402682? 2, 3, 17, 111791 What are the prime factors of 8312409? 3, 7, 61, 103 List the prime factors of 129777. 3, 181, 239 List the prime factors of 1827361. 1827361 List the prime factors of 3485099. 331, 10529 List the prime factors of 996644. 2, 11, 22651 What are the prime factors of 38149? 38149 What are the prime factors of 88116? 2, 3, 7, 1049 List the prime factors of 3010849. 137, 21977 What are the prime factors of 27939673? 29, 173, 5569 List the prime factors of 1499945. 5, 23, 13043 List the prime factors of 1439. 1439 What are the prime factors of 1968198? 2, 3, 223, 1471 List the prime factors of 4119022. 2, 2059511 What are the prime factors of 2330386? 2, 1165193 What are the prime factors of 15223? 13, 1171 List the prime factors of 368637. 3, 103, 1193 What are the prime factors of 21268186? 2, 389, 27337 What are the prime factors of 530975? 5, 67, 317 What are the prime factors of 353360? 2, 5, 7, 631 What are the prime factors of 193625? 5, 1549 List the prime factors of 2183956. 2, 17, 32117 List the prime factors of 324113. 324113 What are the prime factors of 19863628? 2, 23, 215909 List the prime factors of 173625. 3, 5, 463 What are the prime factors of 525555? 3, 5, 17, 229 List the prime factors of 2227292. 2, 556823 What are the prime factors of 2179094? 2, 17, 64091 List the prime factors of 221595. 3, 5, 11, 17, 79 What are the prime factors of 38431095? 3, 5, 53, 48341 What are the prime factors of 21032699? 21032699 What are the prime factors of 8248? 2, 1031 What are the prime factors of 115311? 3, 7, 17, 19 What are the prime factors of 14166988? 2, 11, 23, 13999 What are the prime factors of 824693? 31, 37, 719 List the prime factors of 26701709. 26701709 What are the prime factors of 4263935? 5, 13, 65599 List the prime factors of 203095. 5, 151, 269 List the prime factors of 764685. 3, 5, 16993 List the prime factors of 386184. 2, 3, 16091 List the prime factors of 89727. 3, 11, 2719 What are the prime factors of 17187538? 2, 71, 121039 List the prime factors of 156595. 5, 31319 What are the prime factors of 115704? 2, 3, 1607 List the prime factors of 390043. 390043 List the prime factors of 379336. 2, 47417 What are the prime factors of 1670379? 3, 556793 List the prime factors of 4333341. 3, 1444447 List the prime factors of 7686377. 97, 79241 List the prime factors of 871454. 2, 17, 19, 71 List the prime factors of 5496178. 2, 2748089 What are the prime factors of 3045161? 7, 31, 14033 What are the prime factors of 590877? 3, 7, 83, 113 What are the prime factors of 3396061? 383, 8867 What are the prime factors of 21819859? 97, 224947 What are the prime factors of 705657? 3, 29, 8111 List the prime factors of 506875. 5, 811 List the prime factors of 375942. 2, 3, 7, 8951 List the prime factors of 51316. 2, 12829 What are the prime factors of 18276606? 2, 3, 1015367 What are the prime factors of 2957880? 2, 3, 5, 157 What are the prime factors of 230656? 2, 17, 53 List the prime factors of 441750. 2, 3, 5, 19, 31 List the prime factors of 187276. 2, 46819 What are the prime factors of 109919? 109919 What are the prime factors of 2032850? 2, 5, 109, 373 List the prime factors of 2710880. 2, 5, 16943 What are the prime factors of 1492557? 3, 11, 31, 1459 What are the prime factors of 18901966? 2, 2333, 4051 What are the prime factors of 123996? 2, 3, 10333 What are the prime factors of 1124534? 2, 19, 101, 293 What are the prime factors of 193032? 2, 3, 7, 383 List the prime factors of 493936. 2, 30871 List the prime factors of 3730530. 2, 3, 5, 124351 What are the prime factors of 461176? 2, 17, 3391 List the prime factors of 219039. 3, 73013 What are the prime factors of 231494? 2, 283, 409 List the prime factors of 9319619. 9319619 What are the prime factors of 3666591? 3, 23, 17713 List the prime factors of 1930622. 2, 17, 56783 What are the prime factors of 411820? 2, 5, 59, 349 What are the prime factors of 1570470? 2, 3, 5, 11, 4759 List the prime factors of 10792071. 3, 71, 16889 What are the prime factors of 1625815? 5, 325163 List the prime factors of 143382. 2, 3, 23, 1039 What are the prime factors of 114253? 61, 1873 List the prime factors of 426149. 47, 9067 List the prime factors of 2530827. 3, 13, 97, 223 What are the prime factors of 1925452? 2, 481363 List the prime factors of 33250262. 2, 41, 405491 What are the prime factors of 3301962? 2, 3, 353, 1559 List the prime factors of 6626120. 2, 5, 165653 List the prime factors of 140990. 2, 5, 23, 613 List the prime factors of 20036. 2, 5009 List the prime factors of 6075657. 3, 7, 23, 599 What are the prime factors of 7124688? 2, 3, 49477 List the prime factors of 288237. 3, 96079 List the prime factors of 6632933. 67, 98999 What are the prime factors of 1116932? 2, 1
{ "pile_set_name": "DM Mathematics" }
w - 13*w - 7*w. Let q(k) = 2. Let h(b) = 11*b - 19. Let c(s) = h(s) + 6*q(s). Calculate -5*c(x) + 7*p(x). -6*x Let q(z) = -5*z**3 - 2*z**2 + 2. Let d(u) = 6*u**3 + 3*u**2 - 3. Let x be 6 + (1 - 11) - (0 - 1). Determine x*q(l) - 2*d(l). 3*l**3 Let b(q) = 237*q + 14. Let z(w) = -356*w - 20. Calculate 7*b(n) + 5*z(n). -121*n - 2 Let q(l) = 4*l + 7. Let o(a) = 4*a + 109. Let d be o(-26). Let s(j) = -4*j - 6. What is d*q(h) + 6*s(h)? -4*h - 1 Let o(r) = -24*r**2 - 14. Suppose -41 + 18 = -23*y. Let q(d) = -d**2 - 1. What is y*o(k) - 12*q(k)? -12*k**2 - 2 Let t(n) = -301*n**3 - 7*n**2 + 7*n. Let f(x) = -100*x**3 - 2*x**2 + 2*x. What is 7*f(j) - 2*t(j)? -98*j**3 Let h(k) = 7*k + 2. Let d(c) = 19 - 11*c - 39 + 17. What is -5*d(z) - 7*h(z)? 6*z + 1 Let n(y) = -6*y**3. Let w(k) = k + 11. Let g be w(-6). Let q(x) = 5*x**3. What is g*q(p) + 4*n(p)? p**3 Let f(w) = -w. Let z(y) = 2*y**2 + 14*y. Suppose 0 = -3*g + 3*o + 31 - 103, 64 = -3*g + 5*o. What is g*f(a) - 2*z(a)? -4*a**2 Suppose -n = 8 - 5. Let t(m) = 7*m. Let u(q) = -27917 + 27917 - 6*q. Determine n*t(l) - 4*u(l). 3*l Let q = 581 + -580. Let b(y) = 2*y + 3 + 2*y**2 - 6*y**2 + 0*y. Let h(d) = d**2 - 1. Calculate q*b(x) + 3*h(x). -x**2 + 2*x Let j(a) = -3*a**3 - 2*a**2 + 2*a - 2. Let l be (90/(-20))/(-3*2/8). Suppose -9 = l*s + 3. Let m(k) = 10*k**3 + 7*k**2 - 7*k + 7. Give s*m(g) - 7*j(g). g**3 Let g(l) = 0*l + 0 + 2 + l**2 - 3*l. Let s(t) be the first derivative of -t**2/2 + t + 89. Calculate 2*g(y) - 4*s(y). 2*y**2 - 2*y Let h(n) = -723128*n**2 - 3367*n - 10101. Let j(q) = 1289*q**2 + 6*q + 18. Calculate 6*h(u) + 3367*j(u). 1295*u**2 Let m(t) = t**2 + 1. Let o(a) = 2*a**2 + 4*a + 4. Let n(q) = q**2 - 15*q + 58. Let d be n(9). Give d*m(f) - o(f). 2*f**2 - 4*f Let a(f) = 2*f + 125. Let s(c) = -c - 83. What is -5*a(q) - 8*s(q)? -2*q + 39 Let t(u) = -16*u + 4. Let w(a) = -19*a + 5. Let j(r) = -6*t(r) + 5*w(r). Let s(l) = -8*l - 2. What is -4*j(m) - s(m)? 4*m - 2 Let q(t) = -t**3 - 2*t. Let d(f) = -f**2 - f. Let w = -34 + 32. Let g(p) = p**3 + 5*p**2 + 4*p - 2. Let m be g(w). What is m*d(l) - q(l)? l**3 - 2*l**2 Let a(i) = 719*i**2 - 2*i - 4. Let d(n) = -2157*n**2 + 7*n + 14. Determine 7*a(g) + 2*d(g). 719*g**2 Let g(k) = -5*k**2 + 5*k - 3. Let b(j) = -2*j - 1. Let w(s) = 6*s**2 + 6*s + 9. Let f(x) = -6*b(x) - w(x). What is -4*f(v) + 5*g(v)? -v**2 + v - 3 Let v(z) = -25*z**2 + 3*z - 3. Let l(j) = 50*j**2 - 12*j + 7. Determine 3*l(w) + 7*v(w). -25*w**2 - 15*w Let a(t) = 4*t**2 + 8*t - 13. Let i(p) = -3*p**2 - 7*p + 11. Calculate -4*a(v) - 5*i(v). -v**2 + 3*v - 3 Let b(u) be the third derivative of -91*u**4/8 + 408*u**2. Let w(x) = 17*x. What is -4*b(m) - 65*w(m)? -13*m Let g(v) = 6*v**3. Let m(j) be the second derivative of j**5/20 + j. Let o be ((-3)/12*-4)/(-1). Let q be (12 - 13)/(o/2). Calculate q*g(k) - 11*m(k). k**3 Let p(l) = -9*l**2 - 6 - 25*l - 5 + 18*l + 3*l**3. Let b(u) = -2*u**3 + 4*u**2 + 3*u + 5. What is 9*b(z) + 4*p(z)? -6*z**3 - z + 1 Let s(g) = g. Let k(z) = -17*z + 1. Let t be (495/(-15))/((-6)/4). Determine t*s(w) + 2*k(w). -12*w + 2 Let k(g) = -6*g**2 - 6*g - 46. Let h(d) = -2*d**2 - 2*d - 15. Give 7*h(m) - 2*k(m). -2*m**2 - 2*m - 13 Let r(m) = -5*m + 33. Let y(z) = -z - 2. Give -r(q) + y(q). 4*q - 35 Let i(b) = -16*b - 1. Let c(g) = -16*g - 3. Determine -3*c(q) + 4*i(q). -16*q + 5 Let x(m) = 16*m**2 + 11*m + 30. Let p(l) = -3*l**2 - 2*l - 6. Suppose -3*k + 7*k - 5*z = 33, -7 = -k + z. Give k*x(y) + 11*p(y). -y**2 - 6 Let v(c) = -60*c**3 - 3*c**2 - 4*c - 5. Let f(t) = 62*t**3 + 2*t**2 + 3*t + 4. Give -4*f(l) - 3*v(l). -68*l**3 + l**2 - 1 Let a(f) = f - 1. Let s(z) = 6*z + 50. Determine 3*a(n) - s(n). -3*n - 53 Let w be -1 + 0*2/4. Let o be (3/12*-2)/(14/(-2996)). Let i = o + -101. Let n(b) = -2*b + 5. Let a(f) = 1. What is i*a(j) + w*n(j)? 2*j + 1 Let d(g) = -5*g + 34. Let v(m) = 9*m - 68. What is -7*d(h) - 4*v(h)? -h + 34 Let v(n) = 2*n**3 + 6*n**2 + 3*n. Let q be v(-2). Let w(h) = 3*h - 2*h - q - 4*h - 2*h. Let o(k) = 11*k + 4. Calculate 3*o(a) + 7*w(a). -2*a - 2 Suppose w - h = -3*h - 6, -4*w + h = -21. Suppose -3*c + w*c = 2. Let n(r) = -r**3 - 2. Let t(f) = -4*f**3 - 9. Give c*t(b) - 9*n(b). b**3 Let w(l) = -l**2 - 716*l - 6. Let g(r) = 3*r + 2. Calculate 6*g(i) + 2*w(i). -2*i**2 - 1414*i Let y(n) = 3*n**3 + 2*n**2 - 2*n + 4. Let b(w) = -w**3 + w**2 - w. Calculate b(z) + y(z). 2*z**3 + 3*z**2 - 3*z + 4 Let z(n) = -n**3 + n. Let i be z(-2). Let k(p) = 6*p**3 - 7*p**2 + 7*p. Let q(f) = -3*f**3 + 3*f**2 - 3*f. Calculate i*k(b) + 14*q(b). -6*b**3 Let w(g) = 7 + 6*g + 12*g + 1 + 8*g - 22*g + g**2. Let n(p) = -1. Determine -6*n(h) - w(h). -h**2 - 4*h - 2 Let x(o) = 381*o**2 - 3*o + 3. Let c(z) = -z**2 + 3*z - 1. Determine -c(q) - x(q). -380*q**2 - 2 Let d(f) = 11*f + 6. Let q(w) = 12*w + 7. Let m(z) = 7*d(z) - 6*q(z). Let y(t) = -85*t. What is 35*m(i) + 2*y(i)? 5*i Let u(v) = -2 + 2 + 59*v + 60*v - 120*v. Let d(k) = 7*k**2 - 77*k. Calculate 2*d(j) - 154*u(j). 14*j**2 Let i(a) = -11*a**2 + 197. Let l(d) = -2*d**2 + 2. Give i(r) - 5*l(r). -r**2 + 187 Let l(c) = -1 - 3*c + 2*c + 3. Let y(f) = -f + 3. Let a = 383 + -385. What is a*y(x) + 3*l(x)? -x Let h(v) = -4*v**2 - 12*v. Suppose 4*g - 9*g = -5*k + 70, -14 = g + 5*k. Let i(f) = f**2 + 4*f. Determine g*i(b) - 4*h(b). 2*b**2 - 8*b Let k(c) be the first derivative of -10*c**3/3 + 3*c**2/2 + c - 199. Let q(t) = -19*t**2 + 5*t + 1. Calculate -5*k(m) + 3*q(m). -7*m**2 - 2 Let r(o) be the second derivative of -o**3/3 - 3*o**2/2 - 13*o - 2. Let l(w) = w + 1. Give -3*l(f) - r(f). -f Let u(o) = -3*o**2 + 26*o - 47. Let g(d) = -2*d**2 + 22*d - 48. Calculate 6*g(s) - 5*u(s). 3*s**2 + 2*s - 53 Let t(j) = 12*j**2 - 6*j + 6. Let n(a) = -27*a**2 + 3*a - 11. Let r(u) = -10*u**2 + u - 4. Let x(p) = 3*n(p) - 8*r(p). What is -t(i) - 6*x(i)? -6*i**2 Let c(a) be the first derivative of -a**2 - 13*a - 42. Let g(f) = -2*f - 12. Calculate -6*c(v) + 7*g(v). -2*v - 6 Let t(v) be the second derivative of -3*v**5/20 - 5*v**4/12 - 7*v**2/2 + 17*v. Let g(q) = q**3 + q**2. Determine -5*g(b) - t(b). -2*b**3 + 7 Let b(d) = 9*d - 16. Let a(q) = -q + 1. Determine -5*a(i) - b(i). -4*i + 11 Let j(o) = 17*o - 33. Let r be j(2). Let x(l) = -10*l - 2. Let k(w) = -w - 1. Determine r*x(b) - 5*k(b). -5*b + 3 Let c(x) = -10*x**2 - 3*x - 3. Let w(k) = 15*k**2 + 5*k + 5. Determine 8*c(b) + 5*w(b). -5*b**2 + b + 1 Let a(z) = z**2 + z - 4. Let l be a(-3). Let n(h) = l - 4 + 3 - 2. Let u(w) be the first derivative of w**2 + 12*w + 2. What is -12*n(q) - u(q)? -2*q Let s = 1264 - 1256. Let u(d) = -d**3 - 5*d**2 + 5*d. Let x(a) = -2*a**3 - 8*a**2 + 8*a. Give s*u(t) - 5*x(t). 2*t**3 Let u(j) be the third derivative of -j**4/24 - 2*j**3/3 + 118*j**2. Let b(l) = -l - 8. Calculate -3*b(i) + 5*u(i). -2*i + 4 Let i(u) = 2*u + 32. Let a(c) = -2. Give -4*a(t) + i(t). 2*t + 40 Let v(u) = -3*u**3 + 4 + 0*u - 2*u - 2 - 2*u**2. Suppose 0 = -7*j + 28 + 35. Let t(c) = 13*c**3 + 9*c**2 + 9*c - 9. Give j*v(p) + 2*t(p). -p**3 Suppose 0 = -13*v + 3*v. Let k(m) = -6*m + 5*m**2 - 3 + v + 2. Let b(j) = -j**2 + j. Calculate 6*b(s) + k(s). -s**2 - 1 Let z(v) = -74*v**3 - v - 2. Let j(t) = -297*t**3 - 5*t - 9. Give 2*j(o) - 9*z(o). 72*o**3 - o Let h(m) = 2064*m - 22. Let z(u) = 1033*u - 12. Give -6*h(w) + 11*z(w). -1021*w Let h(i) = 1582*i + 22. Let w(y) = -529*y - 8. Give 5*h(r) + 14*w(r). 504*r - 2 Let c(t) = -t. Let g(y) = -3*y**2 + 3*y + 1. Let j(x) = 16*x + 126. Let v be j(-8). What is v*c(p) - g(p)? 3*p**2 - p - 1 Suppose -5*u = 5*a + 45, -3*u + 3*a - 6 = 3. Let k(o) = 7*o**2 - 7*o - 4. Let r(h) = 4*h**2 - 4*h - 2. Suppose -42 = -5*g + 13. Give g*r(m) + u*k(m). 2*m**2 - 2*m + 2 Let n(u) = -6*u**2 + 0*u**2 + 3 - 5. Let w be -10 - 4 - (-2 - 4 - 1). Let p(b) = -9*b**2 - 3. Determine w*n(m) + 5*p(m). -3*m**2 - 1 Let l(n) = -8*n**2 - n + 1. Let s(i) = i**2 + i. Let t be 1*((10 - 8) + -3). What is t*l(u) - 2*s(u)? 6*u**2 - u - 1 Let q(a) = -8*a**2 - a - 4. Let u(z) be the first derivative of 5*z**3 + z**2 + 7*z - 217. What is -7*q(y) - 4*u(y)? -4*y**2 - y Let t(w) be the third derivative of w**4/24 + w**3/6 + 358*w**2. Let v(i) = 7*i + 6. Give 4*t(h) - v(h). -3*h - 2 Let m(n) = 6*n**2 + n + 4. Let k(t) = 4*t**2 + t + 5. Determine 5*k(g) - 4*m(g). -4*g**2 + g + 9 Let o(k) = 11*k + 2. Let n(b) be the first de
{ "pile_set_name": "DM Mathematics" }
y be (42/2)/3 - b. Give z(y). -9 Let c(b) be the second derivative of -b**4/6 + b**3/3 + 5*b. Let y(h) = h**2. Let q(s) = -c(s) - y(s). What is q(2)? 0 Let s(y) = -5*y - 5. Let w(x) = -5*x - 6. Let v(k) = -6*s(k) + 5*w(k). Let q(f) = f**2 + f + 1. Let n be q(-1). Determine v(n). 5 Let r = 0 - 11. Let i(g) = -9*g**2 + 2*g - 15. Let q(j) = -5*j**2 + j - 8. Let v(a) = r*q(a) + 6*i(a). Let x = 1 - 1. Calculate v(x). -2 Let t(a) = -a**2 + 3*a + 8. Suppose m - 5*m - 2*i = -36, -3*m - 4*i = -37. Calculate t(m). -20 Let h(c) = c**2 - 7*c - 2. Let o be h(6). Let n = -5 - o. Suppose n*g = -g. Let j(v) = v**2 - v - 4. Determine j(g). -4 Let r(u) = -6*u - 6. Let x(f) = -f**3 + f**2 - f - 4. Let o be x(0). Give r(o). 18 Let g(t) = -t - 2. Let s be (-4)/(-6) - 7/(-3). Let d be s/(-4) - 46/(-8). What is g(d)? -7 Let f(j) = 7*j - 5. Let i(u) = 3*u - 3. Let m(a) = -2*f(a) + 5*i(a). Let h be m(5). Let q(z) = -z + 8. Determine q(h). 8 Let h(v) = -v**3 + 4*v**2 - 3*v - 1. Let i(l) = -2*l. Let y be i(-6). Let s(j) = -2*j - 10. Let a be s(-7). Suppose a*g = 8*g - y. Give h(g). -1 Let p(w) = -2*w**2 + 9*w - 15. Let x(m) = m**2 - 4*m + 8. Let v be 5*-1*(-1)/(-1). Let n(i) = v*x(i) - 3*p(i). Let l = 12 + -7. Calculate n(l). -5 Let c = 7 - 3. Let j be (3/c)/(1/(-8)). Let z be 4/j + 15/9. Let i(l) = -5*l**3 + l**2 - l + 1. Calculate i(z). -4 Let k(i) = 6*i + 1 - 2 - 10*i. Give k(1). -5 Let l be (-10)/25 + (-24)/(-10). Let i(c) = -c - 5 + 2 + 1 + l*c. Give i(0). -2 Suppose 5*j - 3 - 2 = 0. Let g(f) be the second derivative of -2*f + 1/2*f**2 + 0 - 1/2*f**3. Calculate g(j). -2 Let l(y) = -y + 3. Suppose 116 = -2*m + v, -m = -3*m + 5*v - 132. Let b be (-8)/36 + m/(-9). Let s = b + -1. Determine l(s). -2 Let j(w) = -w + 1. Let f(r) be the second derivative of 0 + 0*r**2 + 1/6*r**3 + r. Let k be f(6). What is j(k)? -5 Let l(g) = -g**2 + 9*g + 6. Suppose 3*j - 32 = -5. What is l(j)? 6 Let m(h) be the third derivative of -1/24*h**4 + 0*h**3 + 0*h + 3*h**2 + 0. Determine m(6). -6 Let a = 95 - 90. Let w(f) = -2*f - 2. Determine w(a). -12 Let r(o) = 2 - 2*o**2 + 4*o**2 + 2*o + o**3 - 3. Suppose -k + y + 13 = 0, 0*y + 59 = 5*k - 3*y. Suppose -10*a = -5*a + k. Calculate r(a). -5 Let o(t) be the third derivative of t**4/8 + t**3/6 - 3*t**2. Determine o(1). 4 Let j(q) = -8*q - 32. Let i(s) = 3*s + 11. Let m(u) = 14*i(u) + 5*j(u). Let t = 2 + 2. What is m(t)? 2 Let k(q) be the first derivative of -8*q**3/3 + 1. Let a be (1 + 0)*(5 + -6). Give k(a). -8 Let q(a) = a**2 + 5*a + 4. Let x be (-6)/27 + 38/9. Let f = -20 + 22. Suppose 2*g - 6 = -x*r, f*r = 4*g + 3*r + 16. Calculate q(g). 4 Let f be (-4)/6 + 57/(-9) + 4. Let y(s) = s**2 + 3*s. Give y(f). 0 Let f(r) = -2*r**3 + r**2 + r - 1. Let z(d) = -d**2 + 3*d + 1. Let n be z(3). Suppose -n = -u + 2. Suppose -u*k = -k + 2*a + 8, -10 = 5*k + 3*a. What is f(k)? -1 Let a(v) be the third derivative of v**5/60 - v**4/6 - v**3/2 - 48*v**2. Give a(4). -3 Let d(y) be the first derivative of -y**5/20 - y**4/3 + 5*y**2/2 + y + 1. Let g(k) be the first derivative of d(k). Let m = 23 - 27. Determine g(m). 5 Let q(y) = 8*y**2 - 6*y - 6. Let k(d) = 7*d**2 - 5*d - 6. Let s(m) = 7*k(m) - 6*q(m). Suppose -13*z + 26*z = 0. Calculate s(z). -6 Let u(o) = o + 1. Let i(w) = -w**2 + 7*w + 12. Let j be i(9). Determine u(j). -5 Let o(q) = -q + 3*q**2 - 2 - 4*q**2 + 4*q. Let u = 0 - -21. Let j = -17 + u. Give o(j). -6 Let h(c) be the third derivative of c**5/60 + 7*c**4/24 - c**3/3 - 12*c**2. What is h(-4)? -14 Suppose -5*r - 3*u + 6 = 0, 3*r + 0*r + 5*u = 10. Let m(j) = 0*j**2 + 0*j**2 + 3 + j**3 - j. What is m(r)? 3 Let l(o) = -o**3 - o**2 + 7*o + 3. Let c(a) = 5*a - 3*a**2 + 5 + 13*a - 2*a**3 - 4*a. Let q(g) = -3*c(g) + 5*l(g). Calculate q(-5). 10 Let w be (-2 - 0)/(2/11). Let k = w - -16. Let x(b) = -1 + k - 2*b - 3 - b**2. Give x(-3). -2 Let s(c) = 3*c + 22. Let d be s(-11). Let k = d + 8. Let r(u) = -u**3 - 2*u**2 + 3*u - 3. What is r(k)? -3 Let o be (-10)/25 - (-34)/10. Suppose -2*f + o*f = -5. Let k = -2 - f. Let b(y) = y**3 - 5*y**2 + 2*y + 3. Calculate b(k). -9 Suppose 12 = 4*t - 12. Let g(p) = 0*p**3 - 10*p + t + 6*p**2 - p**3 + 8*p. Calculate g(6). -6 Let o(p) = 2*p. Let a be 10*2/8*-2. Let f(l) = -l**2 - 6*l - 7. Let u be f(a). What is o(u)? -4 Let v = -1 + 2. Let a(c) = c**3 - c**3 - 2*c + v + c**2 + 3*c**3 + c**2. Give a(1). 4 Let g = 134 - 131. Let a(o) = -o**3 + 2*o**2 + 3*o + 2. Give a(g). 2 Let j(m) be the second derivative of 3*m**5/20 + 2*m**2 - m. Let n(h) be the first derivative of j(h). Determine n(-1). 9 Let f be 1/(3/12) - 2. Suppose -f*k + 0*t = -4*t - 2, -2*t + 3 = -5*k. Let z(b) be the second derivative of -3*b**5/10 + b**3/6 - b. Determine z(k). 5 Let j(k) = k**3 - 6*k**2 + 2*k - 8. Let v be j(6). Let l(m) = -3 - 4*m**2 - 2*m + v*m**2 - 2*m**2. Determine l(-2). -7 Let v = 3 - -1. Let a(g) = -4*g**2 - 3*g**3 + 2*g**3 + 2 + v*g**3 - 2*g**3. What is a(4)? 2 Let j(w) be the first derivative of 1 + 4*w - 5/2*w**2 - 1/3*w**3. Suppose 0 = -5*q - 3*y - 31, -1 = q + y - 3*y. Calculate j(q). 4 Let m be (6/(-9))/((-4)/18). Let h(l) = -2*l + 0*l**3 - 3*l**2 + 4*l + l**m. Give h(3). 6 Let z(r) = -r + 7. Let f(j) = -1. Let x(w) = -6*f(w) - z(w). Let q = 512 - 507. Calculate x(q). 4 Let d(m) = m**3 - 2*m**2 - 4*m - 2. Suppose -2*b = -4*y - 0*y - 4, 2*b - y = -2. Determine d(b). -10 Let m(h) be the first derivative of -h**4/4 + 5*h**3/3 - 3*h**2/2 + 6*h + 1. Let s = 9 + -5. Determine m(s). 10 Let o(n) be the first derivative of -n**2/2 + 4*n + 1. Let q(b) = -2*b - 4. Let g be q(-3). Suppose f = -2*i - g*i - 11, 0 = 3*f - 3. Give o(i). 7 Suppose 0 = 2*t + 4*i - 18, 3*t + 1 = -4*i + 18. Let l(a) = -a**3 + a**2 + a. Let v(d) = 19*d**3 + 1. Let y(o) = -l(o) - v(o). Calculate y(t). 17 Let m be (-6)/4*24/(-4). Let s(f) be the first derivative of -1/2*f**2 - 1 - m*f. What is s(-5)? -4 Suppose -2*h - 3*y + 19 = -0*h, -y - 1 = -3*h. Let j(i) = -15*i**h + 21*i**2 + 2*i**3 - 3*i**3 + 5 - 5*i. Let l be 47/9 + 2/(-9). Give j(l). 5 Suppose 4*p = 5*u - 2*u + 1, -3*p + 6 = 3*u. Let c(o) = 0*o - u - o - 1 + 0 - o**2. What is c(-2)? -4 Suppose -2*u - t = -0*u + 13, -4*u - 3*t = 29. Let r(l) = 2*l + 4 - 2 - 7*l + 2 - l**2. Calculate r(u). 4 Let l(w) = w - 6. Suppose 3*f = 5*k - 164, 42 = k + 3*f + f. Suppose -4*r + 46 + k = 0. Suppose 6*g - 10 = 2*g + 2*n, 5*g - n - r = 0. Give l(g). -1 Let x(w) = 15*w**2 + 12*w - 4. Let m(r) = 7*r**2 + 6*r - 2. Let v(i) = 13*m(i) - 6*x(i). Determine v(-6). -2 Let v(r) = r**2 + 6*r - 1. Suppose -m - 5 = p, -p - 5*m = -3*p - 10. Determine v(p). -6 Let h(m) = -m**3 + 3*m**2 + m + 4. Let b(x) = -2*x + 22. Let r be b(9). Give h(r). -8 Let y(z) = -z**3 + 2*z**2 + 7*z - 7. Let r(x) = -x + 1. Let k(n) = -6*r(n) - y(n). Give k(-2). -13 Let n(c) be the third derivative of -c**6/120 - c**5/15 + c**4/4 - c**3/3 - c**2. Calculate n(-5). -7 Let t = 5 - 5. Suppose 0 = 3*c + 5*x + 43, t*c = -2*c + x - 7. Let m(i) = i**3 + 7*i**2 + 8*i. Calculate m(c). -12 Let f(m) = -112*m - 3*m**3 - 4*m**2 + 4*m**3 + 2 + 1 + 113*m. Suppose -6*j + 5*j + 3 = 0. Calculate f(j). -3 Let w(h) be the third derivative of -h**6/120 - h**5/10 - h**3/6 - 3*h**2. Give w(-6). -1 Let m(q) = 4*q**2 - 3 - 4*q**2 + 3*q**2. Let u(i) = 6*i**2 - i - 7. Let l(c) = 5*m(c) - 2*u(c). Determine l(1). 4 Let i(g) = g**2 - 3*g + 3. Let x(z) = 2*z - 8. Let n be x(5). Give i(n). 1 Let i(r) = r**3 - 4*r**2 - r + 4. Let h be (-2)/14 - (-29)/7. Let t be (h/(-12))/((-2)/24). What is i(t)? 0 Let m(t) be the first derivative of -t**2 + 2*t + 1. Let g = 5 + -3. Give m(g). -2 Let n(h) = h**3 - 5*h**2 - 6*h - 7. Let v be n(6). Let o(d) = -d - 2. Let l(b) = -1. Let y(w) = 6*l(w) + o(w). Calculate y(v). -1 Let t(u) = -u**2 - 5*u + 2. Let j = 77 - 83. Calculate t(j). -4 Let r(w) = w**3 + 5*w**2 - 7*w - 4. Let i be r(-6). Let h be 5/(-2)*i/1. Let y(u) = u + 5. Calculate y(h). 0 Let o be (2/6)/((-1)/(-27)). Suppose -4*r = -x - o, 5*r - 7 - 5 = 2*x. Let h(z) = 0*z - 3*z - 1 + 2*z**r - z**2. What is h(4)? 3 Let o(n) = n**2 + n + 1. Let a be (2/(-3))/(6/(-9)). Suppose 2 = 4*f - 2. Let r(y) = -3*y**2 - 2. Let x(w) = a*o(w) + f*r(w). Give x(2). -7 Let y be (-6*1)/((-3)/(-2)). Let i = y - -6. Let r(q) = -12*q**2 - 2 + 6*q**2 + 4*q**2 + q. Determine r(i). -8 Suppose 1 + 7 = 4*x. Let j(f) = -4 + x*f**3 - f**3 +
{ "pile_set_name": "DM Mathematics" }
)/12 + (-62)/6. Let y(l) be the third derivative of -l**4/8 - 5*l**3/2 + 2*l**2. What are the prime factors of y(v)? 2, 3 Suppose 7*g = 3*g + 80. Let q = g - -5. List the prime factors of q. 5 Suppose 3*x = -32 - 16. Let n = -1 - x. What are the prime factors of n? 3, 5 Let n = 449 - 316. What are the prime factors of n? 7, 19 Suppose 2 = -4*t + 10. Suppose -3*a - 5*u = -5, 2*u + 17 = 3*a - t. Let y = a - 3. List the prime factors of y. 2 Let d(h) = h + 13. Let t(b) = b**3 + 14. Let a be t(0). List the prime factors of d(a). 3 Suppose -s + 4*s = 177. Suppose -s = -4*j - 11. What are the prime factors of j? 2, 3 Suppose -5*a + w - 5 = 0, -a - 4*w = -2*a + 18. Let t(p) = p**3 + 4*p**2 - 5*p - 2. Let d be t(-5). What are the prime factors of 0 + ((-4)/d - a)? 2 Suppose -g + 4*b + 5 + 86 = 0, -4*b + 209 = 3*g. List the prime factors of g. 3, 5 Let j(y) = -y**3 + 5*y**2 - 2*y + 3. What are the prime factors of j(4)? 11 Suppose 0 = u - 6*u - 15. Let m be (-6)/4*4/u. Let f = 4 + m. What are the prime factors of f? 2, 3 Let s(v) = v**3 + 13*v**2 + 7*v + 12. List the prime factors of s(-12). 2, 3 Let p be (-1 + 2)*(-12)/(-4). Suppose 2*h = p*h - 1. Suppose -h + 3 = q. What are the prime factors of q? 2 Let h(d) = d**3 + 7*d**2 + 5*d - 3. Let x(z) = -z**2 - 2*z - 3. Let s be x(-3). Let o be h(s). Let c(g) = 3*g. What are the prime factors of c(o)? 3 Let g(c) = -7*c + 2. Let u be g(6). Let o = -17 - u. List the prime factors of o. 23 Let f(s) be the third derivative of s**5/60 - s**4/12 - 7*s**3/6 + 3*s**2. Let z be 2/4 + (-27)/(-6). What are the prime factors of f(z)? 2 Let p = 1 + 0. Let l = 5 - 29. List the prime factors of (-15*p)/(l/16). 2, 5 Let x(g) = -5*g. Let d be x(-1). Suppose -3 = -4*m + d. Suppose -5*j = -3*h + m, 4*j = -2*h - 3*h + 28. What are the prime factors of h? 2 Let r(g) = 4*g**2 + 5*g + 3. What are the prime factors of r(-6)? 3, 13 Suppose -n = -10 - 23. List the prime factors of n. 3, 11 Suppose 0 = 6*u - 1874 + 230. What are the prime factors of u? 2, 137 Let i = 151 - 16. List the prime factors of i. 3, 5 Let b be ((-3)/2)/(21/56). Let f(t) = t**2 - 2*t - 4. What are the prime factors of f(b)? 2, 5 Let r = 5 - 4. Let j be r/((1 + -2)/4). List the prime factors of (-6)/j*(2 + 6). 2, 3 Let c(q) = -4 + 2*q - q**2 - 5*q - 6*q. Let m(y) = y**3 - 15*y**2 + 14*y - 8. Let f be m(14). What are the prime factors of c(f)? 2 Let v be ((-9)/27)/((-1)/(-3)). Let m be 3 + -3 - (-4)/v. What are the prime factors of (-110)/(-6) - m/(-12)? 2, 3 Let q(v) = v**3 + 9*v**2 - 14*v + 3. What are the prime factors of q(-10)? 43 Let g = -142 + 500. List the prime factors of g. 2, 179 Suppose 31*n - 29*n - 232 = 0. List the prime factors of n. 2, 29 List the prime factors of (75/(-30) - 1/(-2))*-16. 2 Let s(t) = 5*t**2 - t**2 - 6 - 3*t**2 + t + 6*t. List the prime factors of s(-9). 2, 3 Suppose 12 = -b + 3*b. Let u = b - 0. What are the prime factors of u? 2, 3 Suppose 0*w = -3*l + 2*w + 60, -w + 3 = 0. What are the prime factors of l? 2, 11 Suppose -3*x = -3*t + 5*t - 187, 20 = 4*x. What are the prime factors of t? 2, 43 Suppose -3*a - 3 = -4*a. Suppose -6 = -a*w + 6. What are the prime factors of w? 2 Let q be (-1)/(1/(-3))*5. Let p = q - 11. Let m(z) = 2*z**2 - 4*z - 4. What are the prime factors of m(p)? 2, 3 Let u(o) = o**3 + 11*o**2 + 8*o - 3. Let m be 3 - (-13)/(0 + -1). List the prime factors of u(m). 17 Let t = 11 - 7. Suppose -4*p + 260 = 84. Suppose t*m = m, 0 = -4*x - 3*m + p. What are the prime factors of x? 11 Let p(d) = 31*d - 2. Let r be p(1). Suppose 5*c = r + 56. What are the prime factors of c? 17 Suppose -40 + 4 = 2*w. Let q(m) = -3*m**3 + m**2 + m + 1. Let l be q(-2). Let z = w + l. List the prime factors of z. 3 What are the prime factors of (2 + -14)/((-30)/380)? 2, 19 Suppose -8*q = -3*q - 145. List the prime factors of q. 29 Suppose 2*a - 32 = -f, a + 2*a = -4*f + 133. What are the prime factors of f? 2, 17 Suppose -5*p + 8 = 2*j, -2*j + 12 = j - 2*p. Suppose j*w + 0*r - 2*r - 18 = 0, 5*r + 15 = 4*w. Suppose 0 - w = -f. What are the prime factors of f? 5 Let j be 4/6*-3*3. Let q(k) = k**3 + 5*k**2 - 6*k + 9. List the prime factors of q(j). 3 Suppose 3*t - 60 = -2*t. Suppose -3 = m - t. Suppose -9 - m = -r. List the prime factors of r. 2, 3 Let x(a) = a**2 - 17*a - 26. List the prime factors of x(21). 2, 29 Suppose -2 - 1 = -v. List the prime factors of 69*(-2)/(-18)*v. 23 Let d be (-3)/(((-12)/(-58))/(-2)). Let t = d + -8. List the prime factors of t. 3, 7 Suppose p + 2*b = 5*b - 9, 4*p + 3*b = -6. What are the prime factors of ((-38)/p)/(6/9)? 19 Suppose -5*y - 188 = -9*y. What are the prime factors of y? 47 Suppose 4*r = 2*q + 20, 0*q = -3*q + 4*r - 20. Suppose q = l - 8 - 13. What are the prime factors of l? 3, 7 Let l = 6 - 2. Suppose -4*t + 9 = -5*s, 2*s + l*t + 0*t = -26. Let j(c) = -c + 5. List the prime factors of j(s). 2, 5 Suppose -2 = -5*o + 5*a + 48, -3*a = -4*o + 35. What are the prime factors of o? 5 Let h(y) = y**3 + 22*y**2 + 11*y + 13. List the prime factors of h(-21). 223 Suppose w = 6*w. Let i(v) = v**3 + v**2 + 3. What are the prime factors of i(w)? 3 Let b = -8 + 12. Let x be (-1)/(-4) + 95/b. Suppose 2*l - x = -l. What are the prime factors of l? 2 Suppose 2*d = 5*m - 23, 2*m - 7 = 4*d - 1. Let j = m + -4. What are the prime factors of 3/(j + 2) + 1? 2 Let s = -7 + 5. What are the prime factors of 1*(3 + s) + 31? 2 Let c(r) = -r**2 + 3. Let k be c(3). Let y be 19 + k/(-4 - -2). Suppose 3*b + y = 2*p, -2*b - 2 = 6. What are the prime factors of p? 5 Let i(u) = u**2 + 3*u - 2. Let y = 5 - 7. Let c = -6 - y. What are the prime factors of i(c)? 2 Suppose -3*n + 16 = -7*n, -m = 3*n - 296. What are the prime factors of m? 2, 7, 11 Let r = 66 + -40. What are the prime factors of r? 2, 13 Suppose -2*k + 30 = 3*k + 4*q, -k + 5*q - 23 = 0. Suppose k*c + 80 = 4*c. List the prime factors of c. 2, 5 Suppose -5*l + 2 = -13. Suppose 2*b + l*b = 170. List the prime factors of b. 2, 17 Let l be (16/10)/((-3)/(-15)). Let y be (0 + 0)*(-1)/2. Suppose 0*o + 4*o - l = y. What are the prime factors of o? 2 Let n(z) = z**3 + 4*z**2 - 5*z. Let l be n(-5). Suppose q - 5 = -l. List the prime factors of q. 5 What are the prime factors of ((6/4)/3)/(2/396)? 3, 11 Let r(y) = 286*y**2 + y. What are the prime factors of r(1)? 7, 41 Let f(o) = 6*o. Let a be f(6). Suppose -4*b + 3*b = -a. What are the prime factors of b? 2, 3 Let x(i) be the second derivative of i**5/4 - i**3/3 + i**2/2 - 2*i. Let g be x(1). Suppose -k + 1 = -g. List the prime factors of k. 5 Let s(h) be the first derivative of -h**3/3 + 7*h**2 - 12*h - 10. List the prime factors of s(8). 2, 3 Suppose 0*j - 3*j + 234 = 0. List the prime factors of j. 2, 3, 13 Let x be 0 + (0 - 1) + -2. Let q(k) = -13*k - 1. Let j(t) = -7*t. Let a(f) = -5*j(f) + 3*q(f). List the prime factors of a(x). 3 Let z(i) = 2*i - 5. Let t be z(5). Let s = 0 - t. Let m(g) = -g + 1. List the prime factors of m(s). 2, 3 Let k be (-70)/7 - (-1 - 1). Let f = 13 + k. What are the prime factors of f? 5 Suppose -2*b + 10 = -3*w, 0 = w - 2 + 4. Suppose -b*z + 1 = -43. List the prime factors of z. 2, 11 Let j = -28 + 155. List the prime factors of j. 127 What are the prime factors of (-24)/16*(-2)/1? 3 Suppose -42 = -4*d + 30. What are the prime factors of d? 2, 3 Let u = 9 - 6. Suppose 14 = -u*i + 47. What are the prime factors of i? 11 Suppose -4*m + 13 = 4*z - 5*z, 0 = -2*m + 2*z + 14. Suppose 0 = 5*s + 5*i - 115, m*s + 3*i - 2*i - 48 = 0. List the prime factors of s. 5 Suppose -g + 23 = -2*x - 32, g + 5*x - 69 = 0. List the prime factors of g. 59 Suppose 5*p + 5*z = 10, 4 = 3*z - 2. Suppose p = k, 0 = -3*r + 4*r + 5*k - 8. List the prime factors of r. 2 Suppose -5*z = -s + 46 - 240, -3*z = -3*s - 126. What are the prime factors of z? 2, 19 Suppose -4*l = 2 + 10. Let i be 0/(3*(-2)/l). What are the prime factors of -9*(1 - i)/(-3)? 3 Suppose 351 = 6*u - 207. List the prime factors of u. 3, 31 Let q(r) = 3*r**2. Let o be q(1). Let v = o + 0. Let k = v - -8. What are the prime factors of k? 11 Suppose -5*q + q + 2*d + 174 = 0, -5*q + 214 = d. What are the prime factors of q? 43 What are the prime factors of -15 - -12 - (-1 + -125)? 3, 41 Let w(n) = n + 2. Let l be w(0). What are the prime factors of (-5 -
{ "pile_set_name": "DM Mathematics" }
o + 35*o + o to w*o + r and give w. 58 Rearrange 3*v**3 - v**3 - 2*v**2 - 4*v**3 + 2*v**4 to t*v**4 + j + h*v + r*v**3 + o*v**2 and give o. -2 Express 5*j**2 - 135*j**4 + 137*j**4 + 2 + j**3 + j**2 in the form t*j + h + i*j**3 + r*j**4 + g*j**2 and give i. 1 Rearrange b**4 + b**4 + 4 + 27*b - 12*b - 17*b to r + f*b + w*b**2 + h*b**3 + c*b**4 and give f. -2 Express ((4 + 0 - 5)*(-2 - b + 2) - 23 + 23 - 4*b)*(0 + 1 + 1)*(0*b + 5*b - 3*b) in the form t + w*b**2 + v*b and give v. 0 Express g**4 + 0*g**4 - g**2 + 6*g**3 - 7*g**3 as m*g**4 + y + x*g**2 + j*g**3 + i*g and give x. -1 Express -3 - 2*k**4 + 3 + (-5*k**3 - 34 + 34)*(-2*k + k - k) + (-2*k + 2*k**4 + 2*k)*(3 + 2 - 3) in the form l*k**4 + d*k**3 + p*k + x*k**2 + y and give d. 0 Express -3*p**3 + 21*p**2 + 8378*p - 8378*p - 2 as q + i*p**3 + m*p**2 + l*p and give i. -3 Express 0*k + 0*k - 3*k in the form i + b*k and give b. -3 Rearrange 3 - 8*h**4 - 1 + 2*h**3 - 2 - 2*h + 2*h**2 to the form w*h + j + s*h**4 + f*h**3 + p*h**2 and give j. 0 Rearrange (95 - 37 + 56)*(2*q + 3*q**4 - 2*q) to u*q + c*q**4 + t + p*q**3 + a*q**2 and give c. 342 Express -2*p**4 - 14 + 16 + 3*p**3 + 0*p**3 as w + s*p**3 + r*p + x*p**2 + q*p**4 and give s. 3 Rearrange (26 - 10 + 15)*(-3*r + r - r) to p*r + k and give p. -93 Rearrange (-1 + 2*v + 1 + 2*v + 1 - 1 + (-3*v + v + 3*v)*(1 + 2 - 1))*(-2 + 3*v + 2)*(6*v**2 + 391*v - 391*v) to j*v**3 + q*v + y*v**4 + c*v**2 + k and give y. 108 Express (-p**2 - 2*p**2 + 4*p**2)*(2 + p + 1321*p**2 - 4*p - 1320*p**2) as h*p**4 + b + w*p**3 + c*p + s*p**2 and give s. 2 Rearrange 11*c - 63*c + 35*c - 89*c to z + h*c and give h. -106 Rearrange (-3 + 2 + 4)*(9*w + 0*w**2 + 2*w**2 - 10*w) to v*w**2 + m + y*w and give v. 6 Express -16*s - 7*s - s as k + w*s and give k. 0 Express 3*p - 6*p + 6*p - 2*p**3 - 4*p**2 in the form n*p**2 + y + j*p + g*p**3 and give n. -4 Express (2*g**3 - 3*g**3 + 0*g**3)*(-11 + 7 - 5)*(-1 - 3 + 2) as p*g**2 + q*g**3 + r + z*g and give q. -18 Rearrange (-12 - 8*b + 12)*(5 - 4 + 0)*(-19 - 13 + 7) to p + d*b and give d. 200 Express 31 - 2*j - 31 in the form p*j + a and give p. -2 Rearrange -5*n + n - 2*n**2 + 2 + n to the form s*n + h + l*n**2 and give s. -3 Rearrange (1 + 1 + 0)*(3*f - 2*f - 2*f) - 3*f + f + 3*f + 8*f + 13*f - 6*f + f to n + y*f and give y. 15 Rearrange 3*c - 73*c**4 - 2 - 3*c + c + 0*c to the form g + t*c**2 + f*c + l*c**4 + h*c**3 and give g. -2 Rearrange -3*n**2 - 2*n**2 + 5*n**2 - n**2 + 2 + 6*n**4 + 2*n to l*n**3 + q*n + y*n**4 + a + v*n**2 and give v. -1 Express (-2 + 2 - a)*(-11*a - 52*a + 9*a)*(0*a + a - 5*a) - 2*a**3 - 3*a**2 + 3*a**2 in the form q*a**2 + r + j*a**3 + u*a and give j. -218 Express (4 - 4 + 18)*(-3 - m**2 + 3 + (1 + 3 - 2)*(0*m + 0*m - 3*m**2)) in the form n*m**2 + g + d*m and give n. -126 Rearrange -3*l - 2*l**2 + 3*l + (0 + l + 0)*(13*l + 16*l - 2*l) to the form a*l**2 + n + v*l and give a. 25 Express (-4 + 1 + 1)*(3*n**3 - 2*n**3 + 12*n**3) as b*n**3 + g*n**2 + i + c*n and give b. -26 Rearrange -7 - 4*f**2 + 6 + 3 to the form c + v*f**2 + t*f and give v. -4 Express (-4*g - 4*g + 6*g)*((0 + 1 - 2)*(2 - 1 - 2) - 4 + 1 + 1 + (2 + 1 - 1)*(5 + 6 - 6)) as f + p*g and give p. -18 Rearrange -7 + 7 + 29*g to q + t*g and give t. 29 Rearrange c - 5*c - 8*c + 2*c to the form m*c + j and give m. -10 Rearrange s**4 + s**4 - s - s**4 - 3 to the form l*s + c + t*s**4 + j*s**3 + d*s**2 and give c. -3 Express 2*q**3 - q + 2*q - 7*q**3 - 1 - q**4 as p*q + y + r*q**2 + c*q**3 + d*q**4 and give p. 1 Express -2*l - l**2 + 3 - 5 - 4*l**2 - l**4 as u*l + r + p*l**4 + k*l**3 + c*l**2 and give u. -2 Rearrange -b - 23*b**2 + 24*b**2 + 2*b + 2*b to the form t + d*b**2 + f*b and give f. 3 Express -6 + 2*g**2 + g**4 + 0*g**4 + 4 + 5*g + 22*g in the form f*g + h*g**4 + x + r*g**2 + t*g**3 and give f. 27 Rearrange (-3 + 3 - 2*m)*(9 - 50 + 27) to p + w*m and give w. 28 Express (46 + 30*k - 46)*(2 - 2 - k) as t*k**2 + z + o*k and give t. -30 Express 52 + 15*s**2 - 52 + s**3 in the form p*s + y*s**3 + b + f*s**2 and give f. 15 Rearrange -3*a + 3*a**3 - 5*a**3 + 3*a**3 - 2*a + 2*a**2 to g + r*a + b*a**2 + h*a**3 and give r. -5 Rearrange 13*b**2 + 119 - 119 to the form r*b + c*b**2 + w and give c. 13 Rearrange 2 - 3*b - 1 + 2*b**3 + 11*b - 3*b**3 to v*b + m + z*b**2 + g*b**3 and give g. -1 Express -40 - 3*q**2 + 4*q**2 - 8*q**3 + 9*q**3 in the form g + j*q**3 + o*q + s*q**2 and give g. -40 Express (-11 - 4 + 3)*(0 + 0 + 4*h) in the form s*h + u and give s. -48 Express -6*y + 9*y - y - 5*y - 11*y**2 - y**3 in the form s*y**3 + t + v*y**2 + d*y and give t. 0 Express -7*r**3 - 3*r**2 + 1 + 15*r**3 - 11*r**3 + r + r**2 - 5*r**4 as b*r**3 + g*r + j*r**2 + a*r**4 + x and give a. -5 Express 72*o**3 - 69*o**3 + 3 + 7*o**4 - 6 in the form j*o**2 + b*o**4 + w*o + s + k*o**3 and give k. 3 Express (a + 13*a + 16*a)*(3 - 5 + 3) in the form u*a + g and give u. 30 Rearrange 6*z - 5*z - 3*z + (-1 - 1 + 1)*(-9*z + 9 - 9) to the form o*z + i and give o. 7 Rearrange (-2*k - k + 2*k)*(-9 + 9 - 7*k) - 4*k**2 + 4*k**2 - 4*k**2 to the form h*k + d + y*k**2 and give y. 3 Express (7*a**2 - 15*a**2 - 13*a**2)*((-1 + 1 + 1)*(-2 + a + 2) + 3*a + 7*a - a) in the form r*a**3 + n + t*a + o*a**2 and give r. -210 Express (c - 4*c + c)*(0*c + 0*c - 11*c)*(2 - 2 - 1 + (4 - 4 - 1)*(-1 - 1 + 3) - 2 - 2 + 2) as l*c + x*c**2 + i and give x. -88 Express f**4 + 0*f**4 + f**2 + 3 - 2*f + 0*f as o*f**4 + q*f**2 + p + m*f + l*f**3 and give p. 3 Express (-1 - 4 + 3 + (-2 - 6 - 1)*(-1 - 1 + 0))*(2*b + 0*b - b) as o*b + f and give o. 16 Express (1 - 2 + 2)*(19*d - 9*d + 14*d) as p + y*d and give y. 24 Rearrange 100*w**2 - 94*w**2 + w - w + 4 to the form p + f*w**2 + b*w and give f. 6 Express (r - 2*r - 2*r)*(4 - 6*r - 4) in the form u + n*r + a*r**2 and give a. 18 Express (-4*h**2 + 53 + h - 53)*(4 + 2 - 4)*(2 + 1 + 0)*(-4 - 2*h + 4) in the form i*h**3 + q*h + p + s*h**2 and give s. -12 Rearrange (2*c**3 - 2*c**3 - 2*c**4)*(3 - 3 + 2)*(-3 - 1 - 6) to k*c**4 + z*c**3 + b*c + h + i*c**2 and give b. 0 Rearrange (-1 + 2*k + 1)*(-3*k - 3*k + 3*k) + (2 - 2 - 2*k)*(-2*k - k + 4*k) + (4*k + 9*k - 6*k)*(-k + k - k) to the form j*k + l*k**2 + m and give j. 0 Rearrange (-1 + 1 - 2)*((2*t + t - t)*(-4 + 3 + 3) + 2*t + 0*t + 3*t) + 2*t - 3*t - 2*t to the form h*t + k and give h. -21 Rearrange -9*l**2 - 27 - l + 27 to y*l**2 + s + a*l and give s. 0 Express (-6111*u + 109*u**2 + 6111*u)*(2 + 2*u**2 - 2) as y*u**4 + n*u**3 + v*u + o + h*u**2 and give h. 0 Rearrange 348*s**2 + 4*s - 13*s - s**4 - 351*s**2 to the form q*s**2 + x + y*s + h*s**3 + f*s**4 and give q. -3 Rearrange -2*z**2 - 3*z - 4*z + 3*z**2 to the form g*z**2 + h + o*z and give o. -7 Rearrange -15 - 16*w + 4 + 13 to the form z + o*w and give o. -16 Rearrange (0*h - 2*h + 0*h)*(2*h + h - 2*h) - 66*h**2 - 5*h**2 - 12*h**2 - 1 - h**2 + 1 to the form w*h + d*h**2 + q and give d. -86 Express (0 + 0 + 2*c**3)*(-24*c + 71 - 71) as j + p*c**4 + a*c**3 + o*c**2 + q*c and give q. 0 Rearrange -2*h + 2*h + 3*h + (3*h + 2*h - 3*h)*(-5 - 7 + 83) to o*h + x and give o. 145 Express 0*c + 2*c - 11 - 24 - c - 2*c + 2*c + 0*c + 0*c - c - 3 + 3 - c + (-2*c - 4*c + 4*c)*(1 - 1 + 1) as q + m*c and give q. -35 Rearrange 0*t - 12*t**2 - t + t to h + x*t + g*t**2 and give g. -12 Express -3*y**3 + 2*y**4 - 5*y**2 + 4 + 2*y**3 - 4 - 2*y in the form p*y**2 + n*y + k*y**4 + o*y**3 + l and give n. -2 Express 2*j + 68*j**3 - 5*j + 2*j**2 - 1 - 71*j**3 as n + l*j + g*j**3 + y*j**2 and give l. -3 Rearrange -140*j + 2 - 1 - 1 to the form o + w*j and give o. 0 Express -1966*t**2 + 1966*t**2 + 1 + 44*t**3 - 2*t as n*t + g*t**3 + m*t**2 + h and give n. -2 Rearrange -54*t + 294*t**3 + 2 - 593*t**3 + 298*t**3 to g*t + l*t**3 + x*t**2 + c and give l. -1 Express -5 + 2 + 0 + 4 + 11*c**3 as g*c**3 + o*c**2 + s*c + d and give d. 1 Express 26*n**2 + 0 + 47*n**2 + 0 in the form f*n + o + j*n**2 and give j. 73 Rearrange 21*i**2 - 21*i**2 + 5 + 2*i - i**4 to the form h + d*i + q*i**3 + k*i**4 + t*i**2 and give k. -1 Express (-4*s - 2*s + 5*s)*(1 + 0 - 3) + (-2 + 2 + 2)*(-5*s + 5*s - 2*s) as w + u*s and give u. -2 Rearrange 2 - 5 + 28*h + 6 - 4 to the form v + i*h and give i. 28 Rearrange 148*h - 291*h + 152*h + (-3 + 5 + 0)*(5 - 5 + h) to the form r*h + p and give r. 11 Express -5 + 5 - 101*a +
{ "pile_set_name": "DM Mathematics" }
nominator of -25/31502 and 11/361. 598538 Find the common denominator of 125/773136 and 107/198240. 7731360 Calculate the common denominator of -61/131970 and -127/50350. 12537150 What is the common denominator of 57/689936 and -75/206336? 22077952 Calculate the smallest common multiple of 32 and 36843832. 147375328 Find the common denominator of -47/335771 and -39/6715420. 6715420 What is the lowest common multiple of 84728 and 578? 1440376 Calculate the common denominator of 8/186975 and -89/173438010. 867190050 Find the common denominator of -89/148038 and 39/9779. 131605782 Calculate the common denominator of -77/14110 and 53/21165. 42330 What is the common denominator of -21/47576 and -181/999096? 999096 What is the smallest common multiple of 1759809 and 10558854? 10558854 Calculate the least common multiple of 97570 and 273117944. 1365589720 Calculate the smallest common multiple of 54 and 836163. 1672326 Calculate the smallest common multiple of 664 and 11752200. 975432600 Calculate the lowest common multiple of 667447 and 7. 4672129 What is the common denominator of 77/4354668 and -149/4838520? 43546680 What is the common denominator of -97/1520145 and -20/51? 25842465 Calculate the common denominator of -5/72336 and -61/113984. 3761472 Calculate the common denominator of 47/121336 and 55/14416. 218647472 What is the smallest common multiple of 15929916 and 215053866? 430107732 Calculate the smallest common multiple of 50 and 183915575. 367831150 What is the common denominator of 41/650 and 89/324650? 4220450 What is the common denominator of -31/880 and -39/4141? 3644080 Find the common denominator of 73/3574800 and 88/223425. 3574800 What is the smallest common multiple of 2205040 and 10198310? 81586480 Find the common denominator of -67/12 and 35/275821642. 1654929852 Find the common denominator of -8/369483 and 28/129. 15887769 What is the common denominator of -3/233140 and 53/55720? 649528040 What is the smallest common multiple of 17093260 and 13674608? 68373040 What is the smallest common multiple of 6662456 and 16656140? 33312280 Calculate the common denominator of 103/18 and 10/23480691. 140884146 Calculate the least common multiple of 280 and 333064. 11657240 Calculate the least common multiple of 1973736 and 174888. 13816152 Calculate the common denominator of 59/720 and -62/9461475. 151383600 What is the common denominator of -42/8047 and -68/475865? 294560435 What is the lowest common multiple of 12796 and 10607884? 10607884 Calculate the least common multiple of 44955 and 283500. 31468500 What is the smallest common multiple of 2312305 and 4121935? 94804505 What is the common denominator of -3/849082924 and -77/2? 849082924 What is the common denominator of 13/158634 and 53/3066? 11580282 Calculate the least common multiple of 1972000 and 98600. 1972000 Find the common denominator of -68/220827 and 67/483. 35553147 What is the lowest common multiple of 10562670 and 4590? 179565390 Calculate the lowest common multiple of 123285 and 795. 6534105 Find the common denominator of -79/4416 and -127/672768. 15473664 Calculate the common denominator of -68/527151 and -11/175717. 527151 Calculate the least common multiple of 31535 and 5724. 3405780 Calculate the least common multiple of 434085 and 1317. 190563315 What is the lowest common multiple of 175872 and 32404416? 129617664 Calculate the lowest common multiple of 3809800 and 221500. 19049000 Calculate the common denominator of 11/408 and 89/9242016. 9242016 Calculate the smallest common multiple of 22102 and 5459194. 5459194 What is the common denominator of -97/1110474 and -45/1634? 47750382 Find the common denominator of 15 and -91/14231492. 14231492 What is the smallest common multiple of 228070189 and 6? 1368421134 Find the common denominator of 57/114800 and 101/3329200. 3329200 What is the least common multiple of 15393321 and 2154? 11052404478 Find the common denominator of 59/3929674 and 95/354. 695552298 Calculate the least common multiple of 681200 and 28184650. 225477200 What is the lowest common multiple of 732504 and 1465008? 1465008 Calculate the least common multiple of 54 and 265860. 797580 What is the common denominator of -67/3400038 and 7/15? 17000190 What is the common denominator of -13/2673 and 139/261030? 21143430 Calculate the common denominator of -31/46503264 and -31/1751. 790555488 Calculate the smallest common multiple of 6 and 72090324. 72090324 What is the smallest common multiple of 491166 and 1582646? 14243814 Calculate the least common multiple of 915796 and 66166261. 264665044 Calculate the common denominator of -127/122436 and 17/22971. 49341708 What is the common denominator of 125/336 and 37/920934? 7367472 Calculate the common denominator of 3/122758696 and 29/9691476. 368276088 Calculate the smallest common multiple of 22704 and 407640. 8968080 What is the common denominator of 179/470040 and 89/330579132? 3305791320 Calculate the common denominator of -29/83965446 and -89/90. 419827230 What is the least common multiple of 26166 and 1836? 8006796 Calculate the common denominator of -25/192 and -65/4350474. 139215168 Calculate the lowest common multiple of 12 and 3815475. 15261900 Calculate the smallest common multiple of 31677 and 99096215. 297288645 Calculate the common denominator of -49/19982 and 19/9888. 959136 What is the common denominator of -97/2124558 and 127/200430? 10622790 What is the least common multiple of 5832 and 454776? 110510568 Calculate the least common multiple of 34 and 1581952. 1581952 Calculate the common denominator of 3/1559150 and 61/1091405. 10914050 What is the common denominator of -31/9213 and 79/9914433? 366834021 What is the lowest common multiple of 154054824 and 4704? 616219296 Calculate the lowest common multiple of 18 and 8311878. 8311878 Calculate the lowest common multiple of 400514 and 1788. 358059516 Find the common denominator of -29/214555 and 109/8816260. 96978860 Calculate the common denominator of -127/3248250 and 115/51972. 6496500 Calculate the least common multiple of 4 and 448985336. 448985336 Find the common denominator of -25/42 and 151/2202396. 2202396 What is the common denominator of 61/268626 and 21/582023? 3492138 What is the smallest common multiple of 87290 and 3010? 87290 Calculate the lowest common multiple of 604151740 and 20. 604151740 What is the lowest common multiple of 5092 and 11356433? 45425732 What is the smallest common multiple of 529095 and 4338579? 21692895 Calculate the smallest common multiple of 1110809 and 9997281. 9997281 What is the common denominator of -77/412198 and -32/8037861? 16075722 What is the smallest common multiple of 25 and 26897325? 26897325 Find the common denominator of -7/3925275 and -63/5. 3925275 Calculate the smallest common multiple of 35 and 931305. 6519135 What is the common denominator of -113/239538 and 29/60606? 5030298 What is the lowest common multiple of 25724650 and 4690? 25724650 Find the common denominator of 67/6128034 and -38/1392735. 30640170 Calculate the lowest common multiple of 308 and 1495760. 16453360 Calculate the least common multiple of 470 and 80670. 3791490 Find the common denominator of 91/352680 and -47/1234380. 2468760 Find the common denominator of -43/58304 and -95/439102. 14051264 Calculate the common denominator of -127/1647912 and -149/41544. 4943736 What is the common denominator of -97/160 and 73/226200? 904800 What is the common denominator of -77/668070 and -133/8580? 14697540 Calculate the common denominator of 71/44540 and 139/2197656. 186800760 What is the common denominator of 39/72944020 and 93/592? 291776080 What is the common denominator of -4/16489 and 23/9086? 13619914 Calculate the least common multiple of 2002 and 1264653. 194756562 Find the common denominator of 69/4172 and 115/12684. 1889916 What is the lowest common multiple of 10544 and 34580? 91152880 What is the smallest common multiple of 58193437 and 1661? 640127807 Find the common denominator of -41/647520 and -91/9073800. 689608800 What is the common denominator of 33/1547 and 17/2424009? 535705989 What is the common denominator of 101/78 and -53/117803166? 117803166 Calculate the common denominator of -169/34860 and 125/2
{ "pile_set_name": "DM Mathematics" }
= 20*r - 22*r + 8, 0 = t + r - 9 for t. 5 Solve 4 = k + p, 380*p - 383*p = -2*k - 12 for k. 0 Solve -2*k - 2104*z + 40 = -2102*z, k - z - 22 = 0 for k. 21 Solve 8*c = -4*v + 3*c + 16 + 30, 3*c - 6 = 0 for v. 9 Solve 25 = 5*k + 5*a, 1116*k - 5*a = 1120*k - 24 for k. 1 Solve -2*z + 32 - 46 = 5*g, -4*z - 27*g = 62 for z. -2 Solve -7*t - 9 = 18*a - 14*a, 2*a + 5*t = -3 for a. -4 Solve -5*w + 23 = -2*o, 120*w - 124*w + 5*o + 15 = 0 for w. 5 Solve -4*r + 2*b - 8 = 0, 67*r = 71*r + 13*b - 82 for r. 1 Solve 0 = -a + 4*q + 4, 0 = -2*q + 166 - 168 for a. 0 Solve -2*u - 13 + 3 = 3*p, -2964*p + 2 = -2965*p - u for p. -6 Solve -2*c + 4*r = 2*c, -c + 4*c - 2*r + 6 = 11 for c. 5 Solve -15 = 5*y - 5*l, 2*y - y + 2*l = -9 for y. -5 Solve -6 = -5*w + y, -4*w + 270*y = 268*y - 6 for w. 1 Solve 4*y - 3*u + 48 = 0, -255 + 225 = 2*y - 3*u for y. -9 Solve -16 = -4*j - 4*h, -h + 48211 = -2*j + 48210 for j. 1 Solve 0 = -5*n + 5*g + 5959 - 5939, 0 = -n + 2*g + 8 for n. 0 Solve 5*t = 4*o + 34, 2*t = 4*o - 20 + 36 for t. 6 Solve 0 = 666*q - 671*q - 2*h - 4, -16*q - h + 25 = 0 for q. 2 Solve -2*d = -z, 2*d + 3*z + 10 + 10 = 4 for d. -2 Solve 19*s = 12*q - 12*q + 38, q + 6*s = 9*s - 7 for q. -1 Solve 4*l = f + 220 - 262, 0 = l + 11 for f. -2 Solve 4*k - 3*q + 85 = 105, -5*q + 36 = 2*k for k. 8 Solve 4*b = -5*p - 34, -3*b - 14 = 29*p - 31*p for b. -6 Solve 4*p + 4 = -4*s + 44, -5*p = 7*s - 52 for p. 9 Solve 7*z = 8*z - 9*h - 87, -11 = 3*h + 19 for z. -3 Solve -4*q - 32 = 8*u, -5*u = 4*q + 10 + 7 for q. 2 Solve 4*l + 5924 = -5*r + 5985, -2*r - 4*l + 46 = 0 for r. 5 Solve -15*i + 2*b - 2 = -13*i, 5*i + 5 = -5*b for i. -1 Solve 3*h - 56 = -2*u, 1115*u + 2*h - 44 = 1112*u for u. 4 Solve -k + 5*d = 15, -8*d = -7*k + 2*k - 24 for k. 0 Solve -10*w + 63 = -3*i + 44, 3*i + 10 = w for w. 1 Solve -2*d - 4*q = 47 - 53, 5*d + 3*q = 1 for d. -1 Solve -2*t + c - 57 = -6*t, c + 14 = 15 for t. 14 Solve 5*t - 1033 = 4*v - 1036, -3*v = -3*t for v. -3 Solve 30 = -2*x - 3*m + 17, -5*x + 20 = -3*m for x. 1 Solve -32*o + 30*o - 2*y = 0, -7*o = 4*y - 1 - 14 for o. 5 Solve 3*n + 0*n = 0, -5*l - 1 = -5*n - 1 for l. 0 Solve 27*l - 17 = 7*z + 35*l, -2*z + 2*l = -8 for z. 1 Solve 19*u = p + 21*u + 14, -7*u - 31 = -p for p. -4 Solve f - 16 = 5*n, 27*n = 26*n - 5*f + 2 for n. -3 Solve 0 = -3*b - 9, -1171*a + 1170*a = -4*b - 17 for a. 5 Solve 2*w - 13 = -5*p, p + 8 = -w + 10 for w. -1 Solve 5*j - 10 = p, -p = 6*j - 1 - 11 for p. 0 Solve n - 3*x = 55, -2*n = -481*x + 479*x - 42 for n. 4 Solve -c = -5*y + 22, -637 = 3*c - 1288 + 642 for y. 5 Solve -3*s - 21 = -3*r, 932*r = 1857*r - 926*r - 2*s + 1 for r. 5 Solve 4*d + 810 = 4*g + 854, -6*d = 2*g - 42 for g. -3 Solve 0 = 3*k + 42*h - 41*h + 17, -4*h = -k - 10 for k. -6 Solve 33 = -11*z, -4*x = -9*x + z + z + 1 for x. -1 Solve -3*f = 3*k + 3, 0 = -2*k + 12776*f - 12771*f - 30 for k. -5 Solve -584*z + 581*z - 4*b = -47, 37 = 3*z - b for z. 13 Solve 2 = -1078*l + 1074*l + v, 0 = -l - v - 3 for l. -1 Solve -f + 2 = 4*n, -27*f + 26*f - 22 = -4*n for f. -10 Solve -z - 98497*y - 15 = -98501*y, -2*z + 35 = 5*y for z. 5 Solve -3*j + 9 = -5*h, -13*h + 17*h - 15 = -5*j for j. 3 Solve -3*a = 5*g + 34, -3*g - 75 + 48 = 4*a for g. -5 Solve 3*x + l + 12 = 0, -2*x + 9 = 39*l - 44*l for x. -3 Solve -23 = -b - 535*u + 531*u, -2*b = -5*u + 19 for b. 3 Solve 0 = -5*n - 2*g - 13, 7*n - 8*n + 19 = -5*g for n. -1 Solve -530*q = -527*q - 5*y + 2, -22 = 3*q + 5*y for q. -4 Solve 0 = -3*h - 5*a - 19, -2855*h = -2856*h + 5*a - 13 for h. -8 Solve 4*v = -32, 96*v - 91*v + 37 = 3*n for n. -1 Solve 2*l - 8 = 3*u, -3*u - 16 = 2268*l - 2266*l for l. -2 Solve 4*g - 21 = 3*c, 5950*g - 2*c = 5947*g + 14 for g. 0 Solve 8 = -2*g, 0 = 6*t + 7*t - 4*g + 360 - 311 for t. -5 Solve -2*a + 2*u - 6 = 0, 0 = -a + 3*u + 655 - 660 for a. -2 Solve 4*w = 5*g - 41, 2*g + 329*w - 333*w = 26 for g. 5 Solve -24*g + 50*g = 2*b + 22*g + 56, 4*b + 92 = 4*g for b. -18 Solve -5*q - 30 = -29*d + 30*d, 3*d = -5*q - 40 for q. -5 Solve -14528*q + 14532*q - 3*p - 57 = 0, 39 = 4*q + 3*p for q. 12 Solve n = 4*d + 17, 2*d - 79 = -n - 80 for d. -3 Solve -3*b + 2*t + 11 = 0, 5*t - 295 = -3*b - 249 for b. 7 Solve 5 - 14 - 11 = -5*d, -70 = -5*o - 5*d for o. 10 Solve 3*y - o - 13 = 0, 2*o + 48 = -134*y + 129*y for y. -2 Solve 2*p - 51*v + 54*v = 26, 30 = -5*p + 2*v for p. -2 Solve -5*q = -87*k + 86*k - 11, -2*q = -5*k - 9 for k. -1 Solve -t + 2 = 0, 423*r - 6 = 427*r + t for r. -2 Solve 30 = -5*c - 1154*z + 1149*z, -z - 24 = 7*c for c. -3 Solve -4*v + 3*u = 229 - 261, -4*u - 21 = -v for v. 5 Solve 5 = 3*g - 3*d + d + 4*d, -3*g - 3*d + 9 = 0 for g. -1 Solve 6724*b = 6722*b - 5*x - 36, 3*b = -2*x - 21 for b. -3 Solve -1261 = p - a - 1260, 0 = 5*p - 4*a + 1 for p. 3 Solve 5 = v + 6*f, v + 1877*f = 1876*f for v. -1 Solve -3*s + 14 = 4*v - 4*s, -5*s = 2*v + 70 for v. 0 Solve 6*d + 25 = -5*l + 4*d, 5*d = -2*l - 10 for l. -5 Solve -g = -y - 10, -4*g + 5*y - 226 = -275 for g. 1 Solve -21 = -2*j - 5*w, -69*j = -71*j - w + 9 for j. 3 Solve x - u + 2 = 0, 70*u - 63*u = -3*x - 16 for x. -3 Solve 0 = 3*h + 48, 2*h - 15628 + 15662 = v for v. 2 Solve 9 = -6*r - 2*g - g + 3, -10 - 10 = 5*g for r. 1 Solve -5*d + 2*v + 8 + 21 = 0, 0 = -2*v - 4 for d. 5 Solve 0 = 2*o - 2*j + 87057 - 87069, -2*j = 4*o + 3 - 9 for o. 3 Solve 7*q - 3*n - 18 = 8*q, -5*n = 5*q + 60 for q. -9 Solve 0*u - u + y = 2, 40 = -5*u - 5*y for u. -5 Solve 0 = -2*j - 6*c - 30, 1916 = j - 2*c + 1906 for j. 0 Solve -3*v + j = 24, 3*j - 125 + 130 = -2*v for v. -7 Solve -2*r + 71 = -112*z + 107*z, 2*r + 2*z = -20 for r. 3 Solve 604 = -o + 3*g + 607, 9*o - g = -25 for o. -3 Solve 5*z - 80 = 5*y, 3*y + 2*z - 26 = -14 for y. -4 Solve -5*b - 30 = 2*n, 31*b - 35*b - 36 = 4*n for b. -4 Solve f - 997 = -4*f - 972, -30 = -5*q - 0*q + f for q. 7 Solve -2*j + 34 = 5*w, -4*j = w - 363 + 349 for w. 6 Solve 0 = 4*d - 2*y + 14, -5*d = -3*y + 4 + 11 for d. -6 Solve 4*b = -32, -5*l - 42 = -2935*b + 2939*b for l. -2 Solve 0 = -2*c - 2*a - 4, -178*c - 20 = -177*c + 4*a for c. 4 Solve 3*r + o = 40, 3*o - 2736 + 2772 = 4*r for r. 12 Solve 9*r = -5*d - 24, -r = -4*r - d for r. 4 Solve -5*i = 3*s + 15, -20 = 4*s - 22*i + 24*i for s. -5 Solve -627*y + 5*z - 20 = -626*y, -2*y - 3*z - 1 = 0 for y. -5 Solve -3*q - 4*k + 46 = -1, 5*q - 38 = -3*k for q. 1 Solve 3*f + 54 = 4*l, 3*f - 151 + 205 = -97*l for l. 0 Solve x + 25 = -2*r, 156*x = 161*x + 5*r + 115 for x. -21 Solve 5*b + 31*j = -53, -2*b - 4*j - j + 171 = 170 for b. 8 Solve 0*m + 2*m = 28*b - 158 + 128, -5*b - 5*m = 0 for b. 1 Solve h + 8 = 2*r, -2*r - 61 = 2*h - 39 for h. -10 Solve -5*w = 2*u + 435 - 466, -u + 3*w = -10 for u. 13 Solve 0 = 7*w + 4*a - 77, -80 = -4*w + 148*a - 152*a for w. -1 Solve -80*d + 75*d = 3*x - 21, 4*d - 5*x - 39 = 0 for d. 6 Solve 5*j - 2*d - 10 = 0, j + 2*d + 331 = 333 for j. 2 Solve z + 5 = a, 5*z + 267 = a + 254 for z. -2 Solve 19 = b - 3*m, 3795*b + 30 = 3800*b - 2*m for b. 4 Solve 27*o - 32*o = 5*y - 10, 0 = -2*y - 10 for o. 7 Solve 0 = 305*r - 301*r + 2*t + 4, 4*t - 14 = 3*r for r. -2 Solve -k - 5*u = -11, 0 = -4*k + 23*u - 29*u + 30 for k. 6 Solve -r = -4*m + 22, 127*r - 74 = 131*r - 2*m for r. -18 Solve 12 = -24*r + 20*r, 5*r = 5*a - 65 for a. 10 Solve -11*o - 67 = 4*f, 3*o = -12*f + 14*f - 9 for o. -5 Solve 5*o - 3*n = -1, -2*o - n - 1374 = -1367 for o. -2 Solve 0 = 5*v + 2*n + 24, 4*n + 22 = -126*v + 129*v for v. -2 Solve 3*t = j + 542 - 538, -2*t = 2*j - 16 for t. 3 Solve 5*c + 25*a - 26*a = 15, -4*a + 9 = 3*c for c. 3 Solve 3*f - 5*d = 13, 4*d - 2*d = -10 for f. -4 Solve 403 = -2*q + 5*s + 386, 0 = -3*q + 9*s - 27 for q. -6 Solve -2*j - 839*a + 2 = -838*a, 4*a - 8 = -5*j for j. 0 Solve u + 14 = -v, 5*v + 73*u = 71*u - 79 for v. -17 Solve -8 = -24*c + 19*c + f, 2*c - 4*f + 58 = 0 for c. 5 Solve -3*r + 11 = -i, r - 6*i = -10*i - 5 for r. 3 Solve 12069*d - 4*h = 12071*d - 4, 0 = -2*d - 5*h + 7 for d. -4 Solve 3*a + 77 = -2*w + 60, -a - 3 = -2*w for a. -5 Solve -3*t = -18, 0*n = 3*n - 4*t + 39 for n. -5 Solve -f + 2*o + 342 = 362, 0 = 4*o - 36 for f. -2 Solve r = -2*y + 3, -5*y + r + 1095125 - 1095135 = 0 for y. -1 Solve 0*q - 4*q - 5*w = -11, -480 + 471 = -3*w for q. -1 Solve 3*b = k + 17, b - 448 = 4*k - 424 for b. 4 Solve -104*g - 15 = -108*g + 7*c, -4*g - 40 = 4*c for g. -5 Solve -3*b = u, 2*u + 0*b + 2*b - 4 =
{ "pile_set_name": "DM Mathematics" }
i be h(7). Let m be (14 + -3)/(i/(-6)). Let r be 122/66 - (-4)/m. What is the smallest value in r, -0.2, 0.3? -0.2 Let w = 1855.94 - 1871. Let s = w + 15. Let u = 10.5 + -10. Which is the smallest value? (a) u (b) -4 (c) s b Let j = 2/15 - -16/105. What is the third biggest value in -0.4, 0.3, j? -0.4 Let j = -4.99 + 4.7. Let i = 34 - 34.29. Let t = j - i. Which is the third biggest value? (a) -2 (b) 5 (c) t a Let l = 470 + -612. What is the biggest value in 1/4, 0.4, l? 0.4 Let r = 156 - 156. Let k = 11 - 9. Which is the biggest value? (a) r (b) k (c) -0.3 b Let o = -0.3 - 0. Let y = 453 + -429. What is the third smallest value in o, y, 4? y Let h be ((-1)/(-8))/((270/(-48))/(-15)). Which is the third smallest value? (a) 3 (b) -0.5 (c) 4/3 (d) h c Let h = -35/4 + 8. Let n = h + 1/12. What is the biggest value in n, -2, -5, -0.3? -0.3 Let r = -495 + 498. Let o = 479/2115 - 1/235. What is the smallest value in o, r, 1, -2? -2 Let d = -0.01 - -0.01. Let r = -0.5 - d. Let g = 55 + -52. Which is the second biggest value? (a) 2 (b) g (c) r a Let y(j) = 6*j - 12. Let p be y(2). Let x = 0.03 - -1.97. Which is the biggest value? (a) x (b) -2/3 (c) p (d) -0.2 a Let q = 75 - 40. Let p = q - 38. What is the biggest value in -3/7, p, -2/11? -2/11 Let s = 0.4415 + 0.0585. What is the third smallest value in -0.01, 0.4, 0.3, s? 0.4 Let o = -614 + 10436/17. Which is the smallest value? (a) 2 (b) o (c) 4 b Let w = -12.24 + 11.24. What is the biggest value in -0.3, -2/7, -0.41, w? -2/7 Let r(p) = -p**3 + 14*p**2 - 15*p + 27. Let x be r(13). Which is the third biggest value? (a) 5 (b) -0.1 (c) -2/19 (d) x b Let q be (((-6)/5)/(-3))/3. Let s = 5493/19 - 289. What is the second smallest value in q, -6, s? s Suppose -9*p = -4*p + 5. Let s = 0.4 + -0.4. Which is the third smallest value? (a) p (b) s (c) 0.4 c Let r = -4483/13 - -345. Let q = -0.071 + 17.271. Let d = -17 + q. Which is the third biggest value? (a) r (b) d (c) 1 a Let f = 48 + -338/7. What is the smallest value in f, -2, -5, 2/11? -5 Let m = 86 + -82. What is the biggest value in -2, m, 100? 100 Let c(q) = -q**3 - 11*q**2 - 3*q + 67. Let i be c(-10). What is the biggest value in i, -11, 2/5? 2/5 Let m = -7 - -11. Let j = -20.54 + -0.46. Let l = j - -21.2. Which is the second biggest value? (a) m (b) -14 (c) l c Let z = -0.2 - 3.8. Let f = -23 + 26. Suppose -4*u + 11 = f*w, -2*w + 3 = 2*u - 1. Which is the second smallest value? (a) z (b) w (c) -1/5 b Let o(l) = -l**3 + 2*l**2 + 6*l - 6. Let r be o(3). Let h be (-1)/r*(-3)/(-300)*-6. What is the smallest value in h, -2, -4? -4 Let a(r) = r**2 + 7*r - 4. Let n be a(-8). Let c = -3.9178 + -0.1472. Let z = c + 0.065. What is the biggest value in z, n, 1/6? n Let z be (-2)/(-8) + (-3 - (-12)/8). Which is the third biggest value? (a) z (b) -1 (c) -3/7 a Suppose -s - 7 = -7*k + 2*k, -3*k = -3*s + 3. Suppose -3 = -s*t - 18. Let r = 27 + -28. What is the third biggest value in -0.4, r, t? t Let g = 0.01 + -0.07. Let h = 0.56 + g. Let x = 8 + -10. Which is the third biggest value? (a) h (b) 1 (c) x c Let q(d) = d**3 + 6*d**2 + 6*d + 2. Let f be q(-4). Let o be (-25)/f*(-8)/70. What is the third biggest value in 0.1, o, 1.4? 0.1 Let n = 8 - 14. Let g be n/(-10) + -2 + 2. Suppose 6*w - w = -5*o + 40, 0 = 3*o - 5*w + 8. Which is the smallest value? (a) o (b) g (c) -1 c Let g = -1084.5 + 1084. What is the biggest value in g, -5, -2/5, 6? 6 Let b(j) = 2*j**2 + 103*j + 240. Let a be b(-49). What is the fourth biggest value in 1, -3/5, a, -6? -6 Let j = 23 - 16. Let q = -7 + j. Let h = 14 - 10. Which is the second biggest value? (a) h (b) q (c) 2/7 c Suppose -26 = -2*p - 2*u, -6*p = -8*p + 4*u + 2. Let f(o) = o**2 - 9*o + 3. Let s be f(p). What is the fourth smallest value in s, 1/10, -4, -0.2? s Let h = 55 + -56. Which is the biggest value? (a) 2 (b) -3 (c) -9/5 (d) h a Suppose 0 = -5*h - 4 - 1. Let q = 0.16 + 4.84. What is the third biggest value in q, h, 2? h Let m = 1.772 - 1.8. Let r = m - 2.272. Let i = r + -2.7. What is the third biggest value in -1/6, i, 0.3? i Let d be (-2)/4 - (-2)/4. Let i = -3 + 6. Let q = -33 + 37. Which is the second biggest value? (a) d (b) q (c) i c Let j = 3494.6 - 3495. Let d = -0.05 - -5.05. Let i = 3 + -3.1. Which is the third biggest value? (a) j (b) d (c) i a Let f = 8.6 - 14. Let y = f + 5. Which is the second smallest value? (a) y (b) 7/2 (c) 5 (d) -0.1 d Suppose 5*g + 62 = 3*d, 0*g - 56 = 4*g - 4*d. Let k(z) = z**2 + 14*z + 15. Let o be k(g). Which is the second biggest value? (a) 2/11 (b) -0.3 (c) o b Let s = 21.65 - 22. Let o = 0.05 + s. Let t(q) = -q - 5. Let k be t(-5). Which is the second biggest value? (a) k (b) o (c) -2/7 c Let s = -23 + 17.8. Let n = 3.3 - -1.7. Let g = n + s. What is the third smallest value in -2/3, -5, g? g Let g = -0.006 - 0.494. What is the biggest value in -4, g, 166/7? 166/7 Let o = 0.4 - -2.6. Let j be (-2)/(-8) - 5/4. Let t = -9.01 + 9.21. What is the third biggest value in o, t, j? j Let t = 2/1003 - -10012/9027. Which is the second smallest value? (a) -1/3 (b) t (c) 0.1 c Let v be ((-598)/(-60))/(-13) - (-10)/60. What is the biggest value in -0.3, v, -19? -0.3 Let p = -1/24 + -67/120. Suppose -5*d = 2*j - 13, j = -d - 5 + 4. Let c = 0.2 + 0.2. What is the smallest value in c, p, j? j Let x be (-2)/1*1/8. Let r = -36 + 38. Let u = 0 + r. Which is the third smallest value? (a) u (b) -0.06 (c) x a Let m = -0.085 - -2.085. Let u = -92.9 - -93. Which is the third biggest value? (a) m (b) -3/7 (c) u (d) -0.31 d Let b be 3 + ((-232)/90 - 30/135). Let w = 4.5 + -3.2. What is the biggest value in -0.5, w, b? w Suppose 0 = -59*l + 61*l - 2. Let i be (1/l)/((-9)/(-45)). Which is the fourth smallest value? (a) -4 (b) -5 (c) i (d) -3 c Let h(z) = z**3 + 5*z**2 - 13*z + 10. Let p be h(-7). What is the biggest value in 0.08, -3, 4, p? 4 Let k = -0.46 - -0.46. Let a = 10 + -5. Let n = -0.29 - 1.71. What is the smallest value in k, a, n? n Let g be (-30)/21*(-4)/(-10). Let l(y) = -y**2 - 4*y + 13. Let w be l(-8). Let n = w + 14. What is the second smallest value in 3, g, n? g Let g = -0.078 - 0.252. Let a = -0.07 + g. What is the smallest value in -2, a, 0.2? -2 Let n = -18.2 - -0.2. Let v = 0.27 - 17.97. Let q = v - n. Which is the second biggest value? (a) 5 (b) q (c) 0.4 c Let o = 119/82 - -2/41. Let h = -9.6 - -9. Let u(k) = -5*k + 1. Let s be u(1). What is the smallest value in o, s, h? s Let u = 5.1 + -0.1. Let i = 9.47 + -10. Let z = -0.03 - i. What is the second biggest value in u, 0, z? z Let s = 173.7 - 176. Which is the smallest value? (a) 5 (b) 4 (c) s c Let u = 0.1543 - -0.0457. Which is the second biggest value? (a) -2 (b) u (c) 12 (d) 3 d Let w = -0.12 - -0.02. Let b be (-1)/3*-9 + 0. Suppose 0*x + b*x - 8 = 4*u, -3*x + 3*u + 3 = 0. What is the biggest value in 5, w, x? 5 Let r be (0 + 12/(-4))/(27/2). What is the third smallest value in -5, 1/7, -0.5, r? r Let k be 555/1050 + (-5)/50. What is the biggest value in 4, k, -20? 4 Let d = -30/23 - -141/161. Let l be (-192)/(-84) - (-4)/(-14). What is the second smallest value in d, l, -3/5? d Let j = -62 - -249/4. Let f(y) = y**3 + 19*y**2 + 20*y + 36. Let p be f(-18). Which is the second smallest value? (a) p (b) -1/4 (c) j (d) -0.5 b Let t = 472.8 - 473. Suppose -3*b + 8*b = 25. What is the third smallest value in 0, b, t? b Let l = -18 + 23. Suppose 3*t = 4*t + l, -t - 5 = 5*p. Let h = 5717/19 + -301. Which is the biggest value? (a) p (b) 3 (c) h b Let p = -2.31 - -0.31. Let w = -0.5 + 3.5. What is the second smallest value in p, w, -3? p Let k = -0.2455 + 0.1855. Suppose 0 = u + 5 - 0, -4*u - 32 = -4*q. Let z = -0.3 + 0.1. Which is the biggest value? (a) q (b) z (c) k a Let c = -116 + 347/3. Let s = 19.1 + 1.9. What is the third biggest value in c, -1/5, s? c Let g = 42.5 + -42.8. What is the third smallest value in 55, 4, g? 55 Let s = 4 - -8. Let f = s + -4. Let q = -10 + f. Which is the second biggest value? (a) 5 (b) q (c) -4 b Let m(y) = 5*y**3 - 17*y**2 + 5*y - 15. Let f be m(4). Which is the second smallest value? (a) f (b) -0.4 (c) -1.1 b Let r = 22.08 - 21.98. What is the fourth biggest value in -0.5, -0.079, 1, r? -0.5
{ "pile_set_name": "DM Mathematics" }
t(27) - sqrt(27))**2. -3 Simplify 1 + (sqrt(45))**2 - (0 + sqrt(5)*-2)**2. 26 Simplify sqrt(12)/(5*1*sqrt(6)). sqrt(2)/5 Simplify (sqrt(68)*-3 + -4)**2. 48*sqrt(17) + 628 Simplify (sqrt(343))**2 + -2 - sqrt(448)*-3. 24*sqrt(7) + 341 Simplify (sqrt(245)/sqrt(5))/sqrt(7) + ((sqrt(98)/sqrt(7))/sqrt(2))**2. sqrt(7) + 7 Simplify (sqrt(1331) + 4 + -2)**2. 44*sqrt(11) + 1335 Simplify -3 + (-1 + sqrt(11)*2)**2. -4*sqrt(11) + 42 Simplify (sqrt(5) - (sqrt(5) + -2*sqrt(125)))*-1. -10*sqrt(5) Simplify 0 + -2 + sqrt(1900). -2 + 10*sqrt(19) Simplify sqrt(2057) + -1 - sqrt(2057) - 4*sqrt(833). -28*sqrt(17) - 1 Simplify -1 + (4*sqrt(125))**2. 1999 Simplify (sqrt(17) + 0)*5 + 4. 4 + 5*sqrt(17) Simplify (-4*(sqrt(54)/sqrt(6))/sqrt(3) + 2)**2. -16*sqrt(3) + 52 Simplify (sqrt(130)/(sqrt(10)*1 + sqrt(10)) + sqrt(13))**2 - (sqrt(117) + -1 + sqrt(13)). -4*sqrt(13) + 121/4 Simplify sqrt(18)/(sqrt(6) + -5*sqrt(150) + sqrt(6)). -sqrt(3)/23 Simplify 0 + (-2*sqrt(13) + 2 + 1)**2. -12*sqrt(13) + 61 Simplify sqrt(288) + -4*(-2 + sqrt(288)) - sqrt(288). -48*sqrt(2) + 8 Simplify ((sqrt(342) + sqrt(342)*-1)/sqrt(6))/(-2*sqrt(3)*-6 + sqrt(3)). 0 Simplify 0 + sqrt(60)/(sqrt(12)/sqrt(4)). 2*sqrt(5) Simplify (sqrt(132) + (sqrt(132) - 1*sqrt(132)*-6))/((sqrt(36) + sqrt(144))/sqrt(3) + sqrt(12)). 2*sqrt(11) Simplify 1*(sqrt(126)/sqrt(6))/sqrt(7). sqrt(3) Simplify (-1*sqrt(5))**2 + 2 + -2. 5 Simplify -3*(2 + (-1 + (-1 + sqrt(11) - sqrt(11)) + -4)**2). -114 Simplify ((sqrt(85) + sqrt(85)*-1)/sqrt(5) + sqrt(17))**2*3. 51 Simplify 1*(2 + sqrt(1008)). 2 + 12*sqrt(7) Simplify 4*sqrt(143)/sqrt(176). sqrt(13) Simplify (sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 2))*-4)**2. 128*sqrt(17) + 1152 Simplify 0 + sqrt(3) + 1 + 5. sqrt(3) + 6 Simplify (-2 + sqrt(117) + sqrt(13) + 2*sqrt(637))*2. -4 + 36*sqrt(13) Simplify -1*sqrt(1573) + 5 + sqrt(468) + -5. -5*sqrt(13) Simplify (sqrt(12)/sqrt(4)*6)**2 + sqrt(27) + 1. 3*sqrt(3) + 109 Simplify 0 + (sqrt(68)*-2*3)/(sqrt(144) - (sqrt(144) - sqrt(144)*2)). -sqrt(17)/2 Simplify -5 + sqrt(55)/((sqrt(245) - sqrt(245)*-3) + sqrt(245) - sqrt(245)). -5 + sqrt(11)/28 Simplify 2*sqrt(32) + (sqrt(2) + sqrt(1568) + sqrt(32))**2. 8*sqrt(2) + 2178 Simplify -2*sqrt(3) + 4 + -3*(sqrt(12)/sqrt(4))**2 + sqrt(3). -5 - sqrt(3) Simplify 5 + (sqrt(7) - (sqrt(7) + 1))*-4 + -4. 5 Simplify ((sqrt(1200)*2 + sqrt(1200) - sqrt(1200)) + sqrt(1200))/(1*sqrt(6)*-1). -30*sqrt(2) Simplify (sqrt(170)*-3*-1)/sqrt(10)*3. 9*sqrt(17) Simplify sqrt(132)/(5*(sqrt(12) + -1*sqrt(12)) - sqrt(12)). -sqrt(11) Simplify (sqrt(88) + sqrt(88)*1)/sqrt(8)*2. 4*sqrt(11) Simplify -3*(-1 + sqrt(3) + 4). -9 - 3*sqrt(3) Simplify (sqrt(16)/(sqrt(8)*4) - sqrt(2)) + 3*sqrt(98). 81*sqrt(2)/4 Simplify ((-1*sqrt(144))/sqrt(9))/(sqrt(8) - 1*-2*sqrt(8)). -sqrt(2)/3 Simplify -1*(-2*(sqrt(1008) + sqrt(1008) + -5 + sqrt(1008)) - sqrt(1008)). -10 + 84*sqrt(7) Simplify sqrt(56)/(sqrt(64)/(sqrt(24)/sqrt(3)))*-3. -3*sqrt(7) Simplify ((sqrt(425) + sqrt(425) + 1)*5)**2. 500*sqrt(17) + 42525 Simplify (sqrt(156)/(-2*sqrt(4)))/(sqrt(3) + sqrt(9)/(sqrt(6)/sqrt(2))). -sqrt(13)/4 Simplify 4*sqrt(14)/sqrt(2) + -1 - (sqrt(112) + 2 + -4). 1 Simplify sqrt(45) + -4 - sqrt(5) - sqrt(20)*-1. -4 + 4*sqrt(5) Simplify (sqrt(85)*-4)/sqrt(5) - (1 + sqrt(612) + sqrt(612)). -16*sqrt(17) - 1 Simplify (sqrt(12)/sqrt(4))**2*3 + -3 + -5 + sqrt(3) + 1 + sqrt(3) + -5. -3 + 2*sqrt(3) Simplify ((sqrt(343) + (sqrt(343) + (3*sqrt(343) - sqrt(343)) - sqrt(343) - sqrt(343)))*3)**2. 12348 Simplify ((sqrt(133) + (sqrt(133) - ((sqrt(133) - (sqrt(133) + 2*sqrt(133) - sqrt(133))) + sqrt(133))) + sqrt(133) + sqrt(133))*-3)/(1*sqrt(1008)). -sqrt(19) Simplify ((-2 + sqrt(320))*1)**2. -32*sqrt(5) + 324 Simplify ((sqrt(1573) - (sqrt(1573) - (1 + sqrt(1573)))) + -5 - (sqrt(1573) + sqrt(1573)*-1 + sqrt(1573) + -5))**2. 1 Simplify -2*(0 + (sqrt(2299) - (sqrt(2299) + sqrt(2299) + 0 + 4)))**2. -4630 - 176*sqrt(19) Simplify (3 + sqrt(1300)*-2)**2. -120*sqrt(13) + 5209 Simplify (1*sqrt(78)*3)/(sqrt(18)/sqrt(3)*3 - sqrt(6)) + -3. -3 + 3*sqrt(13)/2 Simplify sqrt(56)/(sqrt(7)*3). 2*sqrt(2)/3 Simplify (2*(sqrt(833) + 0))**2. 3332 Simplify sqrt(68)/(-2*sqrt(4)) - (sqrt(136)*-1)/sqrt(8). sqrt(17)/2 Simplify (sqrt(1300)*1*3)**2. 11700 Simplify -2 + 1*sqrt(108). -2 + 6*sqrt(3) Simplify (sqrt(1088) - (sqrt(1088) + -2)*-1) + -2*(sqrt(1088) + 0)**2. -2178 + 16*sqrt(17) Simplify -4 + sqrt(931) + -1 + sqrt(931). -5 + 14*sqrt(19) Simplify (-1*(sqrt(1331) - (sqrt(1331) + 3 + sqrt(1331)))*3)**2. 594*sqrt(11) + 12060 Simplify -2*(-1*sqrt(128))/sqrt(4) + -3. -3 + 8*sqrt(2) Simplify (0 + sqrt(450)*-6)*6. -540*sqrt(2) Simplify -1*sqrt(60)/sqrt(192). -sqrt(5)/4 Simplify -3 + sqrt(2880). -3 + 24*sqrt(5) Simplify (-4 + 1*sqrt(612) + -3)**2. -84*sqrt(17) + 661 Simplify sqrt(21)/(sqrt(3) + (sqrt(3) + sqrt(24)/sqrt(8) + sqrt(3) - sqrt(3))) - (0 + sqrt(175)). -14*sqrt(7)/3 Simplify (sqrt(175) - (1 + sqrt(175))) + sqrt(252)*-2 + sqrt(252). -6*sqrt(7) - 1 Simplify ((sqrt(55) - -6*(sqrt(55) - sqrt(110)/sqrt(2)))/(sqrt(11) - (-2*sqrt(77))/sqrt(7)))**2. 5/9 Simplify -4 + -3*sqrt(272). -12*sqrt(17) - 4 Simplify (2*sqrt(18)/(sqrt(30)/sqrt(5)))**2. 12 Simplify 4 + (sqrt(52) + -5)**2. -20*sqrt(13) + 81 Simplify (-2 + sqrt(45) + sqrt(5) + 3)*-5. -20*sqrt(5) - 5 Simplify sqrt(1573) + (0 + sqrt(1573))*-4 - (-3 + (sqrt(1573)*2 + sqrt(1573))**2). -14154 - 33*sqrt(13) Simplify ((sqrt(4200)*-1)/(sqrt(6) - -4*(sqrt(24) - sqrt(6))))**2. 28 Simplify (-6*6*sqrt(68)*-2)**2. 352512 Simplify (sqrt(2057) + (sqrt(2057) - (sqrt(2057) + 3 + 3) - sqrt(2057)))**2 + -5. 31 Simplify ((-4*sqrt(325) + sqrt(325))*4)**2. 46800 Simplify (sqrt(13) + 1)*2 + sqrt(78)/(sqrt(18)/sqrt(3)). 2 + 3*sqrt(13) Simplify sqrt(3) + (-1 + sqrt(3))*-1 + sqrt(3)*-2 + -4. -2*sqrt(3) - 3 Simplify (3 + sqrt(704) - (sqrt(121)*2)/sqrt(11))**2. 36*sqrt(11) + 405 Simplify ((1 + sqrt(288))*-3*-5)**2. 5400*sqrt(2) + 65025 Simplify (-4 + (sqrt(99))**2 + -3)*-4. -368 Simplify 1*(sqrt(108) + -1 - (1*sqrt(27) - sqrt(27))/sqrt(9))*6. -6 + 36*sqrt(3) Simplify ((6*(sqrt(2) + 0))**2 - (sqrt(128))**2) + -1. -57 Simplify -4 + sqrt(99)*-1. -3*sqrt(11) - 4 Simplify -3 + ((sqrt(3)*-3 - sqrt(3))*-5*-6)**2. 43197 Simplify -1*(sqrt(77) + (sqrt(77) - -2*sqrt(77)))/sqrt(11). -4*sqrt(7) Simplify (-1 + sqrt(684))**2*5 + -3. -60*sqrt(19) + 3422 Simplify (-1 + sqrt(567))*-2*1. -18*sqrt(7) + 2 Simplify (-4*sqrt(68)/sqrt(4))**2 + (sqrt(272))**2*-5. -1088 Simplify 5 + 2*sqrt(13)*-6. -12*sqrt(13) + 5 Simplify ((sqrt(17) + 1)*-5)**2 + (sqrt(204) + sqrt(204)*-2)/sqrt(12). 49*sqrt(17) + 450 Simplify ((sqrt(50)/sqrt(20))/(sqrt(20)/(sqrt(16)/sqrt(4))))**2. 1/2 Simplify -1*4*(sqrt(13) + 2). -4*sqrt(13) - 8 Simplify ((sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70) + (sqrt(70) + -2*sqrt(70) - sqrt(70))*-5)/sqrt(10))**2 + 5. 1377 Simplify -6*(2*sqrt(17) + sqrt(17))*3. -54*sqrt(17) Simplify (-5 + -1 + sqrt(242))*-3. -33*sqrt(2) + 18 Simplify -2*sqrt(80)*3. -24*sqrt(5) Simplify (-3 + (6*sqrt(242)/sqrt(11))/sqrt(2))**2. -36*sqrt(11) + 405 Simplify (sqrt(12) + -1)*-5*-6. -30 + 60*sqrt(3) Simplify -1 + sqrt(847) + -1 + -3. -5 + 11*sqrt(7) Simplify (1 + sqrt(19)*1 + -2)**2. -2*sqrt(19) + 20 Simplify (-1 + sqrt(8) + (sqrt(96)/sqrt(3))/sqrt(4) + 2)**2. 8*sqrt(2) + 33 Simplify -1*sqrt(175) + -2. -5*sqrt(7) - 2 Simplify (-3 + sqrt(1584) + (sqrt(176) + -1 - sqrt(176)) + sqrt(11))**2. -104*sqrt(11) + 1875 Simplify (sqrt(19) + 2)*-4 - 2*2*sqrt(19). -8*sqrt(19) - 8 Simplify sqrt(425)*-2 + 2 + sqrt(425) + sqrt(425) - -2*sqrt(425)*-4. -40*sqrt(17) + 2 Simplify (1*sqrt(132)*-1)/(sqrt(12) + (sqrt(96) - (sqrt(96)*-2 + sqrt(96)))/sqrt(8)). -sqrt(11)/3 Simplify (sqrt(2299) + 1 - sqrt(2299))*-3*4. -12 Simplify sqrt(25)/sqrt(5)*5 + sqrt(20)/sqrt(4) + 3. 3 + 6*sqrt(5) Simplify (sqrt(117) + 1 + sqrt(13))**2 - ((sqrt(13)*1)**2 + 3). 8*sqrt(13) + 193 Simplify ((2*sqrt(13)*-2 + 4*sqrt(65)/sqrt(5))*3)**2. 0 Simplify (sqrt(605) + (sqrt(605) - (-3 + sqrt(605)*1)))**2. 66*sqrt(5) + 614 Simplify ((sqrt(209)/(sqrt(44)/sqrt(4)) + sqrt(19) + sqrt(19))*1)**2. 171 Simplify (sqrt(72) - (-1 + sqrt(72) + 1 - sqrt(72))) + 1*(sqrt(72) + sqrt(72) + 1*sqrt(72)). 24*sqrt(2) Simplify (4*(-1 + sqrt(125)) + -5)**2*6. -2160*sqrt(5) + 12486 Simplify (((-3*sqrt(136))/sqrt(8))**2 - ((sqrt(612) + 2 - sqrt(17)) + sqrt(17) + sqrt(17))) + -1. -7*sqrt(1
{ "pile_set_name": "DM Mathematics" }
s(11)? -4 Let p(q) = 2*q + 4. Suppose 2*r - 46 = -4*z, 3*z + 2*z - 63 = 3*r. Let v be 2/6 + 44/z. Suppose 32 = -12*a + v*a. Give p(a). -4 Suppose 0 = 2*o + 4*n - 20, 4*n = 332 - 316. Let z(t) = -t + 5. Let g(x) = -3*x + 11. Let a(b) = -2*g(b) + 5*z(b). What is a(o)? 5 Let q(p) = -8*p - 39. Let g(m) = 11*m + 58. Let s(u) = 5*g(u) + 7*q(u). Let k(t) = 8. Let c(x) = -13*k(x) + 6*s(x). What is c(5)? -32 Let o be (1/6 - 137/30)/(5/(-25)). Let m(f) be the first derivative of -o - 2*f - 1/2*f**2. What is m(4)? -6 Let h(i) = 3*i**3 + 3*i**2 + 2*i + 8. Let p(f) = -3*f - f**2 - 4*f**3 + 2*f**2 - 3*f**2 + 0*f - 9 + 2*f. Let q(a) = 3*h(a) + 2*p(a). Calculate q(-4). 6 Let n(m) = m - 9. Let u = 9 + -7. Suppose -676 + 216 = -20*h. Let j be (-1 + u)/(h/115). Calculate n(j). -4 Let q(u) = -12*u + 6*u - u**2 - 244 - 227 + 465. Determine q(-4). 2 Let w(p) = -p**3 + 7*p**2 + 2*p - 5. Let f(n) = n**3 - 8*n**2 - n + 6. Suppose 0 = -z - z - 6. Let m(c) = z*f(c) - 4*w(c). Let b = 4 - -1. What is m(b)? 2 Let a(h) = 2*h - 4. Let u(x) = 447*x + 892. Let b be u(-2). Calculate a(b). -8 Let p(b) = 13*b**3 + b**2 - b + 1. Let a = 957 + -938. Suppose -2*y - 12 = -5*w + 47, y = 5*w - 57. Suppose -t + 5*z = a, 5*z - 13 = -4*t + w. Calculate p(t). 14 Let w(c) = 8*c - 4. Let j be w(2). Suppose -3*y - 15 = 0, -4*y = 10*h - 9*h + 7. Suppose j*r + 47 = -h. Let l(v) = -v**2 - 3*v + 5. Calculate l(r). -5 Let d(s) = 13*s + 1259. Let f(j) = 12*j + 1523. Let q(u) = -6*d(u) + 5*f(u). What is q(5)? -29 Suppose 2*h + 10 = 4*t, -3*t = -6*t + 2*h + 9. Let m = -2 - -4. Let o = m + t. Let z(s) = 6*s - 2. Give z(o). 16 Let m(v) be the third derivative of -v**4/8 - 14*v**3/3 - 3495*v**2. Give m(16). -76 Let z(h) = -h**3 + 6*h**2 - 3*h + 1. Let g = -420 - -477. Let u be g/12 + 19/76. What is z(u)? 11 Let o(g) be the second derivative of 0 - 1/20*g**5 + 5*g**2 + 107*g + 1/6*g**3 + 7/12*g**4. Determine o(7). 17 Let j(l) = l**3 + 9*l**2 - 8*l + 22. Let r(y) = -2*y + 34. Let d be r(22). Let v be j(d). Let z(a) = -31*a**2 - a**3 - v + 33*a**2 + 2*a - 1. Determine z(3). -6 Let g(w) = -13*w**3 - 4*w**2 + 5*w - 11. Suppose -5*p - 8 = -33. Let x(z) = -13*z**3 - 3*z**2 + 4*z - 9. Let o(m) = p*x(m) - 4*g(m). Determine o(1). -13 Let q = -6431 + 6439. Let p(y) = -y**2 + 11*y - 12. What is p(q)? 12 Let z(k) = k**3 - 3*k + 2. Let a be -2*(545/(-10) - 3). Let j = -113 + a. Calculate z(j). 4 Let z = -1 - -1. Let j(a) = z*a + 2*a - 11 + 10 + a. Let n(p) = -2*p + 1. Let m(g) = -3*j(g) - 5*n(g). What is m(0)? -2 Let c be (5/3)/(35/(-21)*(-1)/5). Let y(o) = -o**2 + 14*o - 54. Give y(c). -9 Suppose 6546 = 10*c + 6566. Let n(b) = 12*b + 12. Calculate n(c). -12 Let p(w) = -72*w + 1 - 75*w - 71*w - 77*w - w**2 + 298*w. What is p(2)? 3 Let k be 1/(-33) - (-9044)/2244. Let r(j) = -3*j**2 + 16*j - 40. Determine r(k). -24 Let g(d) be the first derivative of -d**6/120 + d**5/10 + d**4/4 + 5*d**3/6 - 3*d**2/2 + 5*d - 116. Let n(f) be the second derivative of g(f). Calculate n(7). -2 Let l(q) be the first derivative of -q**5/30 + q**4/6 - q**3/2 + 4*q**2 - 3*q - 66. Let w(g) be the second derivative of l(g). Calculate w(3). -9 Let o(v) = v**3 + 2*v**2 + 2*v + 2. Suppose -4*w - 104 = 264. Let f = w - -90. Calculate o(f). -2 Let l(j) = j**2 - 9*j + 2. Suppose -5*b + 250*u + 32 = 254*u, b + 4*u + 16 = 0. What is l(b)? 38 Suppose 0 = 14*s - 19*s. Suppose -27*m + 23*m + 1096 = s. Let k(a) = 0 + 275*a - m*a - 1 - a**2. Determine k(1). -1 Let k(b) = -3*b + 16*b**2 - 17*b**2 - 12*b - 7*b - 10 + 11*b. What is k(-6)? 20 Let o(c) = c**2 + 2*c - 2. Let d(n) = 22*n**2 - 22*n + 14. Let k(v) = -8*v**2 + 7*v - 5. Let h(x) = -5*d(x) - 14*k(x). Let t(z) = h(z) - 3*o(z). What is t(9)? -21 Let j(a) = -a**3 - 11*a**2 - 10*a - 8. Let z = 18646 - 18656. What is j(z)? -8 Let b(c) = 164*c + 4. Let n = 24829 + -24829. Calculate b(n). 4 Let x(v) be the third derivative of -v**6/120 + v**5/6 + v**4/24 - 2*v**3/3 - 45*v**2. Let r be x(10). Let k(q) = -q**2 + 6*q - 4. Give k(r). -4 Let p(b) = -7*b**2 - 2*b + 2. Suppose -7*c = -11*c + 3*g - 8, -5*c + 4*g = 10. Let d(i) = 13*i + 28. Let u be d(c). Determine p(u). -30 Let v(b) = b**2 + 11*b + 34. Suppose 3*j = 5*h + 11, 13*h = 12*h - 4*j - 16. Determine v(h). 6 Suppose -3*l - v + 3 = 0, 6*v = -l + 2*v - 10. Let t(i) = -4*i**2 - 2*i + i + i**l + 2 - 3. Let x = 0 + -1. What is t(x)? -3 Let j(b) = 4*b**2 - 20*b + 3. Let m be j(5). Let y(k) = -1508*k**3 + 1 - m + 1507*k**3 + 3*k - 2*k**2. Determine y(2). -12 Let h(y) be the third derivative of 0 - 1/6*y**4 - 1/120*y**6 + y**3 + 1/12*y**5 + 0*y - 63*y**2. What is h(4)? 6 Let f(i) = -i**3 + i**2 - i + 8. Let t be f(0). Suppose -t*g + 95 = -33. Suppose 0 = -10*k + g*k - 18. Let r(l) = l**2 - 7*l + 3. Calculate r(k). -9 Let n(w) be the second derivative of -w**7/2520 + w**6/120 - w**5/30 + 9*w**4/2 - 101*w. Let r(o) be the third derivative of n(o). Let g = 1 - -5. Give r(g). -4 Let t(n) be the first derivative of n**3 - n - 3. Suppose 2*x = 52 + 4. Let u be (25/35 - 2) + 8/x. Determine t(u). 2 Let y(k) = 11*k**2 + 92808*k + 3 + 8 + 92806*k - k**3 - 185598*k. Determine y(13). -119 Let i(u) be the third derivative of 0 - 1/30*u**5 + 8*u - 11/24*u**4 + u**2 - 2/3*u**3. Calculate i(-7). -25 Let a(d) = 93*d + 43. Let j(u) = -74*u - 40. Let m(q) = -4*a(q) - 5*j(q). Calculate m(-9). 46 Let n(v) be the second derivative of 1/6*v**3 + 1 - 3/2*v**2 + 2*v. Determine n(3). 0 Let z(d) = -3*d**2 - 55*d + 4. Let b be z(0). Let g(n) = -5 - n + 6*n + 7 + 3. Calculate g(b). 25 Let j(y) = -5*y + 2. Let b be (-13 + -1 + -2)/(2/25). Let u = b + 198. Give j(u). 12 Suppose -5*j - 5 = 35. Let n(u) = 4*u**2 + 12*u + 4. Let m(s) = -7*s**2 - 23*s - 8. Let z(c) = -3*m(c) - 5*n(c). Calculate z(j). -4 Let k = 19271 - 19262. Let t(l) = l**3 - 12*l**2 + 4*l + 18. Calculate t(k). -189 Let u(k) = 21*k**3 + 3*k**2 + 22*k + 3. Let o(y) = 17*y**3 + 7*y**2 + 22*y + 3. Let h(q) = 5*o(q) - 4*u(q). Calculate h(-22). 3 Let u(p) = p - 6. Let l be u(2). Let w be 8/(-4)*(l + (-35)/(-10)). Let q(v) = 13*v**3 - v**2 + v - 1. Calculate q(w). 12 Let q = -293 - -286. Let p(w) = -w**3 - 9*w**2 - 14*w - 9. Give p(q). -9 Suppose t - 3*w - 17 = 0, 11*t = 14*t + 4*w - 38. Suppose -t = 8*i + 58. Let h(c) = c**2 + 11*c - 5. Determine h(i). -23 Let m(k) = -k**2 + 2*k + 123. Let b be (17 + (-833)/34)/((-6)/(-8)). Determine m(b). 3 Let g(n) = -n**2 + 2*n + 30. Let t(w) = 126*w + 762. Let d be t(-6). Determine g(d). 6 Let h(b) = -7*b + 6. Let v(l) = -l + 4. Let c(t) = -h(t) + 4*v(t). Determine c(-7). -11 Let i(j) = -j**3 + 8*j**2 + j - 16. Suppose 0 = -584*o + 568*o + 128. Calculate i(o). -8 Suppose -8*m - 55 = -6*m - 5*a, -3*m = -2*a + 66. Let d be m - -16 - (-30)/2. Let y(p) = -p**3 + 10*p**2 + 13*p - 26. Calculate y(d). -4 Let o(y) be the third derivative of y**4/8 - 34*y**3/3 + 4*y**2 + 103. Calculate o(29). 19 Let z(u) = -5231*u + u**2 - 7 - 5235*u + 10473*u. Suppose 3*o - 11 + 2 = 0. Suppose -4*h = -o + 31. Give z(h). -7 Let r be 112/7 + -18 + (-8 - -3). Let u be (0 - 0) + (0 - -4). Let z(i) = 7 + 5*i - u + 2. What is z(r)? -30 Let o(n) = n**3 - 6*n**2 - 7*n. Suppose -60*y + 55 = -55*y + 4*t, 4*t = 20. Calculate o(y). 0 Let c(g) be the first derivative of -g**2 + 7*g - 51. Let i(y) = -y + 7. Let q(t) = 7*c(t) - 6*i(t). What is q(2)? -9 Let r be 19 + -21 + 14 + -12. Let u(y) be the second derivative of 0 + r*y**2 + 34*y - 1/6*y**3. What is u(2)? -2 Let h(g) be the first derivative of -g**6/360 + 5*g**4/6 - g**3 - 48. Let c(m) be the third derivative of h(m). Suppose 3*s = 4*s. Give c(s). 20 Let f(a) = -a**3 - a. Let q(z) = 4*z**3 + z**2 + 6*z + 1. Let u be ((-10)/6)/(((-40)/(-15))/(-8)). Let i(p) = u*f(p) + q(p). What is i(-1)? 2 Suppose 7*b - i = 3*b - 3, i - 3 = -5*b. Let p(h) = -h**2 + 5*h - 28. What is p(b)? -28 Let m(z) = -16*z**2 + 1396*z - 346. Let c be m(87). Let g(i) = i**2 - 6*i + 7. Determine g(c). -1 Suppose 206*m - 27*m + 1969 = 0. Let o(z) = 3*z + 2*z**2 - z**2 + 8 + 9*z. Give o(m). -3 Suppose 0 = -d + 7 + 11. Suppose d*f = 23*f + 25. Let u(o) = 282 - 282 - o. Determine u(f). 5 Let r(b) = 3*b**2 + 2*b + 5. Let a be 0/((-4)/(-1) + 11 + -13). What is r(a)? 5 Let t(g) = 5 - 2*g - 2*g + 1620*g**2 + g**3 + 3*g - 1627*g**2. Let i = 36 + -29. Give t(i). -2 Let m(l) = -79*l - 120. Let d(p) = 19*p + 29. Let a(k)
{ "pile_set_name": "DM Mathematics" }
- 60*w - 1. What is the second derivative of u(r) wrt r? -492*r**2 + 4 Let l(w) be the second derivative of -19*w**4/12 - 11*w**2/2 - 2*w. What is the first derivative of l(m) wrt m? -38*m Let w(d) = -2*d**3 - 3*d**2 - d - 1. Suppose 0*o = 5*o + 10. Let h be w(o). Find the second derivative of -6*m + 3*m + 5*m**h - 2*m**5 wrt m. 60*m**3 Suppose 13 = -y + 4*v, 5*y - 27 = -3*v - 0*v. Suppose -y*z + 0 = -6. What is the second derivative of 5*a**2 - z*a**3 - 5*a**2 + 2*a wrt a? -12*a Suppose -22 - 3 = -5*i. Find the second derivative of u**2 + 0*u**2 + 4*u**2 + 0*u**2 - i*u wrt u. 10 What is the first derivative of 2*p - 1 + 5 + 0 - 3*p wrt p? -1 Let d(o) be the second derivative of -7*o**6/15 + 7*o**2/2 - 12*o. Find the first derivative of d(q) wrt q. -56*q**3 Let s(n) be the second derivative of -n**7/105 - n**3/2 - 3*n**2/2 + n. Let r(b) be the first derivative of s(b). What is the derivative of r(j) wrt j? -8*j**3 Let w(a) = -29*a**3 - 9*a**2 - 16*a + 9. Let x(q) = 14*q**3 + 4*q**2 + 8*q - 4. Let t(f) = 4*w(f) + 9*x(f). What is the second derivative of t(n) wrt n? 60*n Let q be (-3 + -3)*1/(-2). Find the second derivative of 2*h + 2*h**q - 4*h + h**3 wrt h. 18*h Let a = -5 - -7. Suppose 2*o + r = 10, r - 3*r + 12 = a*o. Differentiate 0*i**4 + 2*i**4 + 4*i**4 + 2 - 3*i**o with respect to i. 12*i**3 What is the first derivative of 4 - 2 - 3 + 5*z**2 wrt z? 10*z Let m be 69/15 + 6/15. Suppose m*j + 1 = 11. Differentiate -3*q**3 - j + 16*q**2 - 16*q**2 with respect to q. -9*q**2 Find the third derivative of 81*k**2 + 7*k - 7*k + 22*k**5 - 111*k**2 wrt k. 1320*k**2 Suppose i - 4*i - 4*b + 17 = 0, 5*i - 4*b = 7. Suppose -15 = -2*c - i*c. What is the first derivative of 0*q**c + 5 - q**3 - 2 wrt q? -3*q**2 Let v be 0/((-1 - 0) + 0). Let r be 5/10 - 6/(-4). What is the second derivative of -2*l + 0*l + v*l + r*l**4 wrt l? 24*l**2 Let i(s) = -32*s**2 + 4*s + 13. Let u(p) = -32*p**2 + 3*p + 12. Let k(w) = 3*i(w) - 4*u(w). Differentiate k(g) with respect to g. 64*g Let r(m) be the second derivative of -11*m**5/10 + 21*m**2/2 + 15*m. Find the first derivative of r(d) wrt d. -66*d**2 Let r(a) be the second derivative of a**3/6 - 4*a**2 + 4*a. Let x(c) = -7. Let z(k) = 3*r(k) - 4*x(k). Find the first derivative of z(q) wrt q. 3 Differentiate -2*t + 7*t - 8 + 2 wrt t. 5 Let i be ((-4)/5)/((-1)/5). Let r be (i/8)/(1/12). What is the third derivative of -3*h**3 + 2*h**2 + 3*h**3 + 2*h**r wrt h? 240*h**3 Let j(d) be the third derivative of -5*d**8/168 + d**5/12 + 8*d**2. What is the third derivative of j(o) wrt o? -600*o**2 Suppose 2*o = 3*a + 2 - 7, 0 = -4*o - 4*a + 40. Let i(s) = s**2 + 3*s + 4. Let n be i(-3). What is the second derivative of 3*j + j**5 - n*j**o - 2*j wrt j? -60*j**3 Let u = -77 - -110. Suppose 0 = -5*s + p + u, 3*p - 3 = -2*s - 0. What is the third derivative of -3*z**2 + 2*z**2 + 0*z**s - 3*z**6 wrt z? -360*z**3 Let a = -16 - -7. Let p = 13 + a. What is the second derivative of u - 4*u + u - 2*u**4 + 0*u**p wrt u? -24*u**2 Let c(n) be the third derivative of 0*n**3 + 1/8*n**4 + 0*n + 0 + n**2 - 1/10*n**5. Find the second derivative of c(y) wrt y. -12 Let x(m) be the third derivative of 2*m**2 + 0 + 1/30*m**7 - 5/6*m**3 + 0*m + 0*m**5 + 0*m**4 + 0*m**6. What is the derivative of x(a) wrt a? 28*a**3 Let p = -6 + 8. Differentiate 2*q**p - 6*q**2 - 2 + 4 with respect to q. -8*q Suppose g = -4*g + r + 6, -3*g + 2*r - 2 = 0. Find the third derivative of -2*n**3 - n**3 - 3*n**g + n**3 - n**3 wrt n. -18 Let y = 24 - 21. Let h(g) be the first derivative of -1/5*g**5 + 0*g**2 + 0*g**4 - 1 + 0*g + 2/3*g**y. What is the third derivative of h(o) wrt o? -24*o Let c = -27 - -32. Differentiate 3*l - c*l**4 - 3*l - 9 + 0 wrt l. -20*l**3 Let l(a) = 8*a + 5. Suppose 0 = -9*w + 4*w - 15. Let f(q) = 9*q + 4. Let z(c) = w*f(c) + 4*l(c). Find the first derivative of z(d) wrt d. 5 Let t be 2/(-5) + (-192)/(-30). Differentiate -4 + 0 + 6 + 6*y - t wrt y. 6 Let w = 2 + -1. Let b be (0 - w)/(2/(-6)). Find the third derivative of -2*d**4 - b*d**2 + 4*d**4 + 0*d**4 wrt d. 48*d Let o(c) = -2*c**5 - 12*c**2 - 13*c. Let m(k) = -k**5 - 6*k**2 - 6*k. Let l(d) = -13*m(d) + 6*o(d). Find the third derivative of l(g) wrt g. 60*g**2 Let p = -10 + 16. Let c = 8 - p. What is the second derivative of s**c + s**2 - 2*s + s wrt s? 4 Suppose 0 = -4*g - 16, -5*g + 5 = -2*a + 31. Find the second derivative of 0*f**a - 13*f + 7*f - 3*f**3 wrt f. -18*f Let f(k) = -29*k - 66. Let i(x) = -14*x - 33. Let t(m) = -6*f(m) + 11*i(m). Differentiate t(c) wrt c. 20 Find the third derivative of 0*u**4 + 45*u**2 - 50*u**2 + 32*u**2 + 6*u**4 wrt u. 144*u Differentiate -2 - 7*s**2 - 6*s**2 + 23 wrt s. -26*s Let r(x) = -2*x**4 + 2*x - 8. Let i(l) = -6*l**4 + 7*l - 25. Let p(z) = -2*i(z) + 7*r(z). Differentiate p(n) with respect to n. -8*n**3 Let l be 2/(-4)*(-4 + -2). Let s(d) = -5*d**3 - d**2 + 1. Let k be s(-1). What is the second derivative of l*j**5 - k*j**5 + 3*j - 5*j wrt j? -40*j**3 Let k(i) be the second derivative of 11*i**4/6 - i**3/6 - i**2/2 + 66*i. Find the second derivative of k(m) wrt m. 44 Let l(u) = 4*u**2 - 4*u. Let d(n) = 20*n**2 - 20*n. Let o(i) = 4*d(i) - 22*l(i). Find the second derivative of o(c) wrt c. -16 Let a(i) be the first derivative of 0*i**3 + 0*i - i**2 - 1/4*i**4 - 4. What is the second derivative of a(v) wrt v? -6*v Let c(m) = -9*m**2 - 5*m + 6. Suppose 2 = 4*d - 6. Let y(s) = -s + 8 + s**2 - 2*s**d - 7. Let t(o) = -c(o) + 5*y(o). Find the first derivative of t(j) wrt j. 8*j Let b(y) be the first derivative of -y**10/1260 - y**6/360 + 5*y**3/3 - 2. Let x(l) be the third derivative of b(l). Find the third derivative of x(r) wrt r. -480*r**3 Suppose -3*i + 2 = -13. Suppose g - 5 = -k, -2*k - g = -i - 5. What is the third derivative of f**5 - 2*f**5 + f**2 + 2*f**2 - f**k wrt f? -120*f**2 Let v(w) = 46*w**3 + 11*w**2 + 55*w + 11. Let g(q) = 9*q**3 + 2*q**2 + 11*q + 2. Let y(u) = -11*g(u) + 2*v(u). What is the second derivative of y(t) wrt t? -42*t Find the first derivative of -33*x**2 + 33*x**2 - 7 - 3*x**4 wrt x. -12*x**3 Let c(k) = -20*k + 30. Suppose 0 = 6*j - 3*j - 3. Let y(z) = -z + 1. Let v(m) = j*c(m) - 25*y(m). What is the derivative of v(r) wrt r? 5 Let t(m) = -m**2 - 12*m + 18. Let i be t(-13). Find the second derivative of 5*p**2 + i*p - 3*p - 2*p - 2*p wrt p. 10 Let b(x) be the second derivative of -x**6/12 - x**5/12 - x**2 - 5*x. Let v(h) be the first derivative of b(h). What is the third derivative of v(s) wrt s? -60 Let b(l) be the second derivative of l**8/6720 + l**5/40 + l**4/4 - 3*l. Let c(k) be the third derivative of b(k). Differentiate c(j) with respect to j. 3*j**2 Let a = 18 - 16. Find the second derivative of 2 + a*v - 2 + 2*v**3 - v**3 wrt v. 6*v Let h be 0 + (0 - 1)*-2. Find the third derivative of 2*q**h + 3*q**3 - 2*q**2 - 2*q**3 - 2*q**2 wrt q. 6 Let h(y) = y**4 + y - 4. Let m(g) = g - 5. Let o(c) = 5*h(c) - 4*m(c). Find the second derivative of o(b) wrt b. 60*b**2 Suppose 5*t - 2 = r + 7, 1 = t. Let p(o) = 4*o**2 - 3*o - 3. Let h(l) = -4*l**2 + 4*l + 3. Let v(u) = r*p(u) - 3*h(u). What is the derivative of v(x) wrt x? -8*x Let h(i) = 38*i**3 + 7*i**2 - 4*i + 14. Let q(y) = 13*y**3 + 2*y**2 - y + 4. Let x(p) = 4*h(p) - 14*q(p). Find the second derivative of x(l) wrt l. -180*l Suppose a = -3*m + 4, -18 = -5*m + 6*a - 2*a. Let n(t) be the first derivative of 2*t - 1 + 3/2*t**m. What is the first derivative of n(b) wrt b? 3 What is the second derivative of 3*o + 0*o + 4*o**2 + o wrt o? 8 Let d(k) be the first derivative of -9*k**2/2 + 22*k - 3. Differentiate d(w) wrt w. -9 Let m(b) be the second derivative of -4*b**3/3 - 31*b**2/2 + 26*b. What is the derivative of m(o) wrt o? -8 Let h be (8/(-3 + 1))/(-2). Find the third derivative of -2*l**2 + 0*l**6 + l**6 + l**2 + 3*l**h wrt l. 120*l**3 Let j(d) = d**3 - 5*d**2 + 1. Let i be j(5). What is the second derivative of 4 + 2*v**2 + 3*v - 5 + i wrt v? 4 Let t(a) be the first derivative of -a**4/12 - a**3/3 + a**2 + 3. Let y(w) be the second derivative of t(w). What is the derivative of y(c) wrt c? -2 Let t(o) be the third derivative of -7*o**5/30 + 19*o**3/6 - 12*o**2. Find the first derivative of t(h) wrt h. -28*h Let o(p) be the first derivative of -2*p**7/7 + 13*p**3/3 - 32. What is the thi
{ "pile_set_name": "DM Mathematics" }
= 0.0464 - 236.0464. Let s = -235.9 - m. Sort r, -1/3, s, -1 in descending order. s, r, -1/3, -1 Let x be (9/6 - (-9)/(-6))*-1. Let r be 1088/85 - (-6)/5. Sort r, -5, -4, x in ascending order. -5, -4, x, r Suppose -2 = 4*v + 3*o, 30 = -6*v + 3*o + 72. Put 84, 70, v in decreasing order. 84, 70, v Suppose 410*g = 200*g + 205*g + 20. Sort 3, -19, g, 13 in decreasing order. 13, g, 3, -19 Let n = -5115 + 5117. Sort -0.2, n, 0.03, -5 in decreasing order. n, 0.03, -0.2, -5 Let n = -295 + -540. Let l = 831 + n. Sort -0.064, 4, l, -3 in decreasing order. 4, -0.064, -3, l Let s = 1775 + -1779. Let k(w) be the third derivative of -w**6/120 + w**4/8 + w**3/3 + w**2. Let f be k(-2). Sort f, s, -3 in decreasing order. f, -3, s Let f = 3 + -2. Let t = 0.171 + -0.171. Let n = -8665/5778 + -1/2889. Sort t, n, f in ascending order. n, t, f Suppose z + 80 = 6*z. Let t = z + -17. Let o(w) = -2*w**2 - 12*w - 13. Let d be o(-4). Sort t, 4, 1, d. t, 1, d, 4 Let o = -0.06 + 0.05. Let h = 6.826 + -3.903. Let p = 0.077 + h. Put p, o, -5 in ascending order. -5, o, p Suppose -d = -k + 2*k - 78, -2*k - d = -160. Suppose -l + 2*a = 3, 3*l - 21 = -0*l - 4*a. Sort 5, l, k, -1 in decreasing order. k, 5, l, -1 Let h = 171 + -249. Let f = h + 74. Put 2, 5, f, 6/5 in increasing order. f, 6/5, 2, 5 Suppose -y + 9 = -v, 5*v + 6*y = 3*y + 3. Suppose 0 = -5*z + 9 - 44. Sort 4, z, v in increasing order. z, v, 4 Let k = 0.03894 + 0.16106. Sort 8, 1, 3/5, 0.3, k in decreasing order. 8, 1, 3/5, 0.3, k Let z = 160.689 - 0.189. Let i = z + -160. Let j = -0.14 + 5.14. Sort 0.4, j, i in descending order. j, i, 0.4 Let r(z) = 2*z**2 - 2*z - 1. Let h be r(-1). Let g = 9604 - 9605. Let m = -31 + 28. Sort h, m, -4, g. -4, m, g, h Let u(y) = 4*y**2 + 19*y - 351. Let v be u(-12). Let l(r) = -r**3 + 5*r**2 + 7*r - 6. Let x be l(6). Sort x, 8, -2, v in ascending order. v, -2, x, 8 Let d be 6/(-2) - -4 - (-170)/(-153). Sort 0.2, d, -0.13, -2, -1 in increasing order. -2, -1, -0.13, d, 0.2 Let p = -0.01 - -0.11. Let n = -28 - -74. Suppose 31 - n = 3*x. Put -2/5, p, x, 4 in increasing order. x, -2/5, p, 4 Let m(n) = n**2 - 8*n + 14. Suppose k - 2*t + 4*t = -1, -k + 5*t + 34 = 0. Let i be m(k). Suppose 0 = i*b - 18*b - 15. Put -4, 11, -1, b in decreasing order. 11, b, -1, -4 Let k = -645.2 + 623.2. Let s = -11 + 9. Put s, k, -3 in descending order. s, -3, k Let g = 0.074 - -60.926. Let n = 10 + g. Let i = n - 71.4. Put 32, -2, i in increasing order. -2, i, 32 Let k = -312.334 - -0.334. Let d = k - -319. Sort d, -7, -2/13 in increasing order. -7, -2/13, d Let m(q) = 2*q - 12. Let o be m(7). Suppose 6 = o*x + 6. Suppose -2*y + 20 = -4*j - 3*y, -5*y = x. Put -3, -6, j in increasing order. -6, j, -3 Let t(k) = -13*k - 16. Let u be t(-2). Let w be 4/3*75/u. Let f be (1/w)/((4 - 3) + 0). Put 1/7, 0, f, -3 in ascending order. -3, 0, f, 1/7 Suppose 8*u - 78 - 26 = 0. Suppose 2*m + 4*v - 3 = -u, m = v - 2. Let p = 7 + -4. Sort m, -4, p, 1. -4, m, 1, p Suppose 108*u + 35*u - 264 = 11*u. Let y(i) = -i**3 - 6*i**2 - 7*i - 6. Let g be y(-5). Put g, -1/4, 5, u in descending order. 5, g, u, -1/4 Let z(i) = i**2 - 15*i + 22. Let c be z(13). Suppose 0*r - 9*r = 540. Let m = -57 - r. Put -5, m, c in ascending order. -5, c, m Let o = 199 - 3381/17. Let w = 1207 + -1207. Let i = 5.041 + -0.041. Put o, w, i, -4 in decreasing order. i, o, w, -4 Let s(a) = a**3 - 19*a**2 + 86*a - 13. Let m be s(12). Suppose 1 = q + h - 0, 0 = 5*q + h + m. Put -2, q, 23 in decreasing order. 23, -2, q Let m(q) = 4*q**3 - 19*q**2 + 41*q - 70. Let p be m(6). Sort p, -2, 4 in increasing order. -2, 4, p Suppose 337*a + 5 = 335*a + 5*p, 1 = -5*a + p. Put -3, -1, -7, -4, a in ascending order. -7, -4, -3, -1, a Suppose -2*h + h - 1 = 0. Let b be (-3 - h)*1/2. Let q(f) = -90*f**2 - 551*f - 64. Let v be q(-6). Put v, 0, b, 1 in descending order. v, 1, 0, b Let s(q) = -2*q**2 + 56*q + 771. Let a be s(38). Sort a, -2, -30, 2. -30, -2, 2, a Suppose 23*g + 19 + 20 + 7 = 0. Sort g, -1826, 2/13 in descending order. 2/13, g, -1826 Let n be (-6 + (0 - 15))*(-30)/(-9). Let t = n + 109. Put 4/7, t, -1/9 in decreasing order. t, 4/7, -1/9 Let n = 2493 + -2486. Suppose 4*o = -4*d - 4, 3*d + 0*d = -2*o - 2. Suppose -3*y + 4*f = -d*y - 3, 2*y - 3*f = 3. Sort n, y, -4. -4, y, n Suppose -54 = 5*m + 4*x, -10 = -5*x + 10. Let k(u) = 6*u**2 + 84*u + 1. Let w be k(m). Sort w, -4, 0, -2 in descending order. w, 0, -2, -4 Let i(z) = z**2 - 10*z - 62. Let a be i(16). Suppose -6*x - a = 26. Put 4, 7, x in decreasing order. 7, 4, x Suppose -2*o - 1534 = -2*q, 1641 = 5*q + 5*o - 2174. Let c = q + -818. Put 1, -4, c in decreasing order. 1, -4, c Suppose -m = -2*p + 26, 5*m - 19 + 49 = 0. Suppose -6 = 3*x - 3. Let t be 1 + -2 - (5 + -1). Sort -3, x, p, t. t, -3, x, p Let w = -5036738/15 + 335632. Let g = -451/3 - w. Put 3, g, -7, -0.2 in descending order. 3, g, -0.2, -7 Suppose -106*q + 210 = -71*q. Put -1, 3, 5, -5, q in descending order. q, 5, 3, -1, -5 Let p be (-25)/((-1050)/28)*18/129. Sort -5, 8, p in ascending order. -5, p, 8 Let t(v) be the first derivative of -v**4/4 + 4*v**3/3 - 3*v**2/2 - 9*v - 1. Let u be t(5). Let j be 0*7/u*1/2. Sort 2, j, 4, 3. j, 2, 3, 4 Let x = 1.9 - 2. Let d = 206198 + -206194. Put d, -116, x in descending order. d, x, -116 Let i(f) = -f**3 - 5*f**2 - 3*f - 6. Let z be i(-5). Suppose 6 = 3*t - z. Let w = -7706 + 7702. Put w, t, 2, -0.3 in decreasing order. t, 2, -0.3, w Let k be (-46822)/4568 - (0/(-2) - 11). Let u = -0.5 + 0.3. Put 2/7, k, u, 2 in descending order. 2, k, 2/7, u Let a be (-1)/(-1) + (-4)/1. Suppose -70 = 4*m - 5*x - 335, -365 = -5*m - 5*x. Let o be (m/49)/(((-8)/28)/(-1)). Sort o, a, 3. a, 3, o Suppose f + 29 = 4*a, 5*a - 10*f + 7*f = 31. Suppose a*b + 8*b = -128. Sort 3, b, 0 in ascending order. b, 0, 3 Let u = 1042 + -1081. Sort 3, u, -3, -2. u, -3, -2, 3 Let q be 15/20*32*16/(-192). Suppose 2*t = 3*t + 4. Sort 107, q, t, 2. t, q, 2, 107 Let u be 6/2 + 4*6/(-12). Let h be (-372)/27 - (3 + (-50)/18). Sort u, h, 3. h, u, 3 Suppose -4*u + 6 = -m, 3*m - 388 = 5*u - 399. Sort 1240, -1, m in descending order. 1240, -1, m Suppose -77*b + 14 = -63*b. Sort b, 23, -4, -2 in ascending order. -4, -2, b, 23 Let g = -263 + 268. Let v be (13 - (-27)/(-3))*(-2)/(-8). Sort 3, g, 0, v in decreasing order. g, 3, v, 0 Let n(p) = 5*p**3 + 18*p**2 + 13*p + 2. Let s(f) = f**3 - f - 1. Let m(u) = -n(u) + 3*s(u). Let h be m(-8). Sort -2/23, h, 4/5 in ascending order. h, -2/23, 4/5 Suppose -5*i - 8 - 17 = 0. Let d = 15133/36 + -3781/9. Put d, 0, -0.5, i in ascending order. i, -0.5, 0, d Let c = 0.049 + -33.049. Let s = 68 + c. Let t = -227.6 + 227.7. Put s, 2, 2/19, t in descending order. s, 2, 2/19, t Let f = 4 - 4. Let b be ((-4)/(-20))/((-1)/(-25))*-5. Let h be (-36)/15*b/15. Put h, 3, f in decreasing order. h, 3, f Suppose -t + 10 = -3*q, -3*t - q = -7*t - 4. Let i(f) = -f - 3. Let u be i(t). Put -3, -3/2, u in decreasing order. u, -3/2, -3 Let v = -13503/2 - -40507/6. Sort -0.1, -211, -16, v in decreasing order. -0.1, v, -16, -211 Suppose 176*o = 60 + 468. Put 1, -4, 17, o in descending order. 17, o, 1, -4 Suppose 3*k = -5*g + 28, 6 = 5*g + k - 10. Let o be 3/(-2) + (1 - 15/10). Put o, 0, g in decreasing order. g, 0, o Let i(n) = -2*n**2 - 6*n + 0*n**2 - 2 + 3*n**2. Let k be i(6). Let u be (-20)/(-6 + 2) + 18/(-2). Put -5, 5, k, u in increasing order. -5, u, k, 5 Let w = 12.692 - 12.392. Sort -1, w, -1/5, 1.205 in increasing order. -1, -1/5, w, 1.205 Let a = -38732 + 38734. Sort -0.023, 23, a. -0.023, a, 23 Let b = -423858 - -423858. Let z = 5.4 + -5. Sort 5, b, -20, z in ascending order. -20, b, z, 5 Let k be 1/(-1)*9/((-9)/(-10)). Let n be (-2)/4 + 21/14. Let o be n/5 + 262/k. Put -4, -1, o in descending order. -1, -4, o Let h = -7723 - -7725. Put 0, h, -3/2, -2/5 in ascending order. -3/2, -2/5, 0, h Suppose 4*w = -3*d + 2*w + 27, -3*w + 9 = 0. Let f(z) = -5 + 2*z - z + 1 - d. Let i be f(12). Put i, -2, -3 in descending order. i, -2, -3 Let g = 5905 + -5703. Put g, -4, -1 in ascending order. -4, -1, g Suppose 6*s + 7 + 18 = 5*g, -s = 4*g - 20. Let v = 5 - 8. Let h be (-12)/(-8)*(-2)/(-3). Sort g, v, h in increasing order. v, h, g Suppose 0*h = -3*h + 18. Let i(s) = 31*s - 1484. Let t be i(48). Sort -6, t, h in ascending order. -6, t, h Let h =
{ "pile_set_name": "DM Mathematics" }
). Suppose w = 9*s - 8*s + 6. Calculate r(s). 10 Let g(n) be the third derivative of n**5/30 + n**4/8 - 2*n**3/3 - 17*n**2. Let b be 9/2*12/(-18). What is g(b)? 5 Let t(w) = w + 3. Let z(o) = 2*o + 0 + 2 - 3*o. Let x(b) = -b**2 + 7*b + 26. Let q be x(-3). Let a be z(q). Determine t(a). 9 Let w(o) = 5*o**3 + 11*o**2 + 13. Let n(d) be the first derivative of d**4/2 + 2*d**3 + 7*d + 47. Let r(q) = -11*n(q) + 6*w(q). Determine r(-1). -7 Let q(p) be the first derivative of p**3/3 + 2*p**2 + 3. Let s(j) = -3*j**2 - 13*j. Let g(t) = -8*q(t) - 3*s(t). Calculate g(-6). -6 Let d(s) = -s + 2. Suppose -2 = -b + 3*t - 1, 2*b - 5*t = -1. Let c(p) = -p**2 - 4*p + 26. Let h be c(b). Calculate d(h). 8 Suppose 7*t = 41 - 27. Let p(s) = 4*s**2 - t*s**2 + 6 - s**3 - 2*s + 5*s**2 + s. Determine p(7). -1 Suppose 7*l - 48 = 3*l. Let r = l - 17. Let h(s) = -5*s + 26. Let t(i) = -2*i + 9. Let q(y) = -3*h(y) + 8*t(y). Give q(r). -1 Let w(z) = z**2 - 12*z + 6. Let h be w(12). Suppose 4*q = c - h, -5*c - q + 2 = 14. Let m(g) = -g**3 - 2*g**2 - g - 2. Determine m(c). 0 Let i = 55 - 29. Let x = 34 - i. Let n(c) be the second derivative of c**4/12 - 4*c**3/3 + c**2 - 6*c. What is n(x)? 2 Let h be 60/(-55)*(-33)/6. Let l(w) = -8*w + 19. Calculate l(h). -29 Let b(k) be the first derivative of -k**6/360 - k**5/20 - k**4/12 + 4*k**3 - 6. Let s(o) be the third derivative of b(o). Give s(-6). -2 Let q(f) = -40 + f + 45 - 5*f + 3*f. Give q(-6). 11 Let r(g) be the second derivative of 1/60*g**5 + 1/6*g**3 + 3*g**2 - 2*g + 0*g**4 + 0. Let w(o) be the first derivative of r(o). What is w(1)? 2 Let d(n) = -n**2 + 12*n - 10. Let m(a) = -2*a**2 + 24*a - 17. Let h(c) = -9*d(c) + 4*m(c). What is h(10)? 2 Let r(z) = 164*z - 3 - 341*z + 186*z - z**2. Determine r(8). 5 Let b(l) = -4*l - 14. Suppose 3*w - w = -2*v - 20, 0 = -2*v - 5*w - 35. Let y be b(v). Let h(n) = n**3 - 7*n**2 + 7*n - 3. Determine h(y). 3 Let q(a) be the third derivative of 1/24*a**4 + 2/3*a**3 + 0 + 0*a + a**2. Give q(0). 4 Let g(m) be the second derivative of m**7/252 + m**6/720 + m**5/120 + 5*m**4/2 - 31*m. Let q(k) be the third derivative of g(k). Let y = -3 + 2. Calculate q(y). 10 Let a(d) = -d**2 + 4*d + 8. Let s = -102 + 150. Let t = -42 + s. What is a(t)? -4 Suppose 0 = -2*a + 5*a - 9. Let k(i) = -5*i + a*i - i. Suppose 0 = -5*q + 10, 0*g + 2*g + 2 = -q. Calculate k(g). 6 Let d(o) = 8*o**2. Suppose 2*a - 2*f - 68 = 0, 4 = -2*f - 4. Suppose -6*b + b + a = 0. Let h(y) = -y**2 + 5*y + 5. Let t be h(b). Give d(t). 8 Let n(o) = 17 - 3 - 14 + 6*o - 2. What is n(2)? 10 Let i(r) = 0*r - 3 - 3*r - r**2 + 9 - 1. Let c be (-8)/52 + 25*(-8)/52. Determine i(c). 1 Let x(h) = h**3 + h - 3 + 6 + 0*h**3. Let k(s) be the second derivative of -s**5/20 - 3*s**4/2 - 17*s**3/6 - 34*s. Let c be k(-17). What is x(c)? 3 Let i(f) = 3*f**3 + 4*f**2 - 6*f - 9. Let a be i(-2). Let h(k) be the second derivative of -k + 3/2*k**2 - 1/20*k**5 + 0*k**3 - 5/12*k**4 + 0. Calculate h(a). 3 Let t(v) = -v - 9. Let g = -665 + 672. Give t(g). -16 Let u(z) = 13 - 98*z + z**3 + 186*z - 6*z**2 - 5 - 84*z - z**2. Let p = 2 - -4. Calculate u(p). -4 Let l be 1*-6*50/30. Let n(u) = 4*u + 12. Give n(l). -28 Let a(l) = -3*l**2 + 38*l - 16. Let o(r) = -r**2 + 13*r - 7. Let b(y) = 2*a(y) - 7*o(y). What is b(12)? -19 Let k(h) be the first derivative of 10 + 2*h - 1/2*h**2 - 5/3*h**3. Let v(u) = 4*u**2 - 2. Let n(x) = -2*k(x) - 3*v(x). Give n(-2). -10 Let y be (2/(-4))/(((-31)/(-12))/31). Let l(v) = v**3 + 5*v**2 - 5*v + 6. Give l(y). 0 Suppose l = -5*b, 18 = 2*l - 4*b + 4. Let f(d) = 13 - 5*d - 2*d**2 + 3*d**2 + 4*d - 8. Let s(x) = -x**2 - 5. Let h(w) = -5*f(w) - 4*s(w). Calculate h(l). -5 Let v be 34/(-6) + 2/3. Let g = 42 - 39. Let i(q) = 0*q**g - q**3 + 881*q - 5*q**2 - 880*q. Give i(v). -5 Let n(g) = -2*g**3 - g**2 + g + 1. Let s(l) = -3*l**2 + 2*l + 1. Let c be s(4). Let a = -40 - c. Calculate n(a). 1 Suppose -24*q = -30*q - 36. Let z(g) be the second derivative of g**5/120 + g**4/12 + g**3/6 + g. Let b(a) be the second derivative of z(a). Calculate b(q). -4 Let s(c) = -c - 6. Let g(u) = -7*u**2 + 9*u + 21. Let n(v) = -6*v**2 + 10*v + 21. Let x(d) = 5*g(d) - 6*n(d). Let y be x(16). Give s(y). -1 Let k(t) = -t**3 - 35*t**2 + 31*t - 178. Let x be k(-36). Let q(m) = -5*m**3 + m**2 - m - 1. What is q(x)? -39 Let y(q) = 5*q**2 + 2. Let f(v) = 9*v**2 - 14*v - 17. Let s(g) = f(g) - 2*y(g). What is s(-14)? -21 Let a(u) = -5*u**2 + 2*u - 2. Let f = 38 - 37. What is a(f)? -5 Let p = 4/1325 + 1277/15900. Let m(x) be the third derivative of 2*x**2 - p*x**4 - 1/6*x**3 + 0 + 0*x. What is m(-3)? 5 Let r(z) be the second derivative of 2*z**3/3 + 2*z**2 + 6*z + 11. Determine r(-2). -4 Let y(a) = -a + 20. Let u be y(4). Suppose -16 = 5*d + 3*l, 4*l = 4*d - 8*d - u. Let t(f) = -f**3 - f**2 + 4*f + 3. Determine t(d). -1 Let r = 119 - 124. Let o(w) = w**2 + 3*w - 1. What is o(r)? 9 Suppose 5*d + 4*o - 3*o = -23, -4*d = 4*o + 28. Let z = 1 - d. Suppose -k + 9 = 2*k, -z*k + 15 = -g. Let y(n) = n**3 + n**2 - n - 1. Give y(g). -1 Suppose -5*x + 2*b + 21 = -15, -x = -5*b - 21. Let s = 11 + -6. Let v(r) = 0 + s*r - r**2 - 2 + 0*r + 4. What is v(x)? -4 Let r(t) = t**2 + t - 1. Suppose 0*f = 2*f. Suppose f*i + 8 = -2*i. Let m be 0*2/i*1. Give r(m). -1 Let j(f) be the first derivative of -f - 2. Let w(q) be the first derivative of q**2/2 + 3*q + 1. Let m(r) = -6*j(r) - w(r). Calculate m(2). 1 Let d be 4 + 22 + -8 - 9. Let q(k) = k + 7. What is q(d)? 16 Suppose 24*v = 82 - 10. Let y(i) be the second derivative of -9*i + 0 + 1/12*i**4 + 5/6*i**v - 1/20*i**5 - 2*i**2. What is y(3)? -7 Suppose 3*s - 4*k = 28, 0 = 4*s - 5*k - 35 - 1. Let u be 1/(4 + (-35)/10). Let z(w) = 3*w + 7 + w**u - 7*w + 1 - 6. Give z(s). 2 Let z(t) = t**2 + 11*t. Let m be 2*(-1)/(-2*(-7)/77). Calculate z(m). 0 Let r(s) = s**2 - 7*s - 5. Let g = 9 - 2. Let h be g - 1*(3 + -3). Determine r(h). -5 Let i = -1 + 1. Let z(y) = y**3 + 12*y**2 + 11*y + 7. Let d be z(-11). Let f(b) = -10 - d - b + 12 - 11. Determine f(i). -16 Suppose -5*d - 5 = -5*k, -3*k + 0 = 4*d - 10. Suppose -11*b = d - 1. Let i(o) = o**3 - o**2 + o + 3. Give i(b). 3 Let j(p) = p**2 + 8*p + 7. Let u be ((-12)/15)/(2/(-60)*-4). What is j(u)? -5 Suppose -5*q + 12 = -8. Suppose w + q*w = 10. Let h(z) = 11*z - 3. Calculate h(w). 19 Let v(b) = b**2 - b. Let q = -12 - -19. Let a(d) = 10*d**2 - 5 + q - 3*d**2 + 0 - 3*d. Let l(y) = a(y) - 6*v(y). What is l(-3)? 2 Let o be 6/4 + 27/18. Let n(a) = a - 9. Calculate n(o). -6 Suppose 5*f - f = 8. Let q(g) = -g**2 + g + 4. Let n(p) = 6*p**2 - 4*p - 20. Let c(z) = f*n(z) + 11*q(z). Let k = -118 + 115. Determine c(k). 4 Let i(a) = 7*a**2 - 5*a + 2. Let j(h) = -20*h**2 + 14*h - 5. Let l(y) = 17*i(y) + 6*j(y). What is l(0)? 4 Let j(c) = 41*c + 34*c - 5 - 72*c + 1. What is j(7)? 17 Let n(u) = -3*u**2 + 32*u + 15. Let l be n(11). Let c(a) = -a**2 - 3*a - 12. Let b(y) = -y**2 - 2*y - 11. Let p(j) = 6*b(j) - 5*c(j). Determine p(l). -10 Suppose -j - 12 = -4*j. Let i(y) = y**3 - 5*y**2 + 5*y - 1. Let b be i(j). Let z(a) = -9*a**2 - b*a**2 + 4 + 11*a**2. What is z(-3)? -5 Let v(b) = 3 - 3*b + b + 8*b**2 - 8*b**2 - 2*b**2. Let f(s) = s**3 + 0*s - s - 22*s**2 + 24*s**2. Let w be f(1). Calculate v(w). -9 Let q be 6/4*(24 + -22). Suppose q*m = -4*k - 20, 5*k + 0*m - 6 = 4*m. Let p(z) = 0*z + 7*z - 3*z + 2. Give p(k). -6 Let r = 669 + -662. Let h(w) = 2*w - 6. Determine h(r). 8 Let o(p) = p**2 + 8*p. Let a(h) = h**3 + 7*h**2 + 5*h - 6. Let u be a(-6). Let g = 3 + u. Suppose 0 = 4*l + g*r + 33, 2*r - 18 - 6 = 5*l. Calculate o(l). -12 Let y(d) = d**2 - 2*d + 2. Suppose 0 = 5*k + 3*z - 0*z + 9, 2*z = -6. Let s(u) = u + 3. Let l be s(-3). Suppose l = -k*r - 6*r + 12. Give y(r). 2 Let h(v) = -v**3 - 11*v**2 + 7*v - 7. Let m(l) = l**2 - l. Let i(r) = h(r) + 6*m(r). Determine i(-5). -12 Suppose -4*q + q + 94 = s, s - 82 = q. Let o(b) = -4*b**2 + s*b + 4*b**3 - 82*b - 2*b**3 - b**3. What is o(3)? 0 Let o(y) = y**3 + y**2 + y - 1. Let w(a) = -8*a**3 - 6*a**2 - 6*a + 7. Let f(r) = -6*o(r) - w(r). Give f(-1). -3 Let r(f) = -3 - 3*f - 1466*f**2 + 1467*f**2 + 6*f. Determine r(-4). 1 Let n(v) = -3*v**2 - v - 1. Suppose 12*y + 19 + 5 = 0. Give n(y). -11 Let u(h) = 9*h - 2 - 13*h - h - 1. Determine u(3). -18 Let m(j) = j**3 + 4*j**2 - 12*j - 3. Let b b
{ "pile_set_name": "DM Mathematics" }
. Suppose -2*d - m = -4*d. Does 14 divide d? True Let d be 278/(-10)*-1 + 1/5. Suppose 92 = 5*w - 0*w - k, 3*k - d = -w. Is 9 a factor of w? False Let x = -14 + 14. Suppose x = -4*g - 3*d + 724 + 686, -g + 361 = 5*d. Is 16 a factor of g? False Let i(l) = 175*l**2. Let r(t) = -350*t**2 - t - 1. Let g(p) = 5*i(p) + 2*r(p). Does 44 divide g(-1)? False Let p = 385 + -275. Let i = -40 + p. Is i a multiple of 10? True Suppose 0 = 2*f + 5*v - 8, 6 = -3*f + v + 1. Let n = f - -5. Suppose n*m + 62 = 2*r, 4*m - 3*m = -2*r + 52. Is 9 a factor of r? True Let k = 1623 + -1115. Is 7 a factor of (-10)/45 + k/18? True Let t(m) = m - 14. Let c = 40 - 24. Is t(c) even? True Let k = -46 - -85. Is (k/26)/(6/236) a multiple of 7? False Suppose -111 = -4*h + 153. Suppose -3*r + h = -3*g, r - 6 = g - 4*g. Let k = 16 + r. Is 32 a factor of k? False Let o = -204 - -359. Is 10 a factor of o? False Let z(o) = o**3 - 15*o**2 - 14*o - 30. Let i be z(16). Let v(d) = 3*d + 14. Does 20 divide v(i)? True Suppose -3*g + 4*n + 568 = 0, 5*g - 8*g + n + 583 = 0. Is g a multiple of 27? False Suppose 3*m + 11 = -5*p, p - 13 = -3*m + 2*p. Is (m - 2)/((-3)/(-216)) a multiple of 24? True Let n = -7 - -14. Let i = 9 - n. Is 11 a factor of i + 2*18/4? True Let b = -7 + 1. Let p(t) = 3*t + 10. Let q be p(b). Let a = q - -83. Is a a multiple of 25? True Let r = 29 - 14. Let a be (6/(-9))/(4/(-132)). Let k = a - r. Is k even? False Let f(l) = 14*l - 5. Let w be f(3). Let g = w + 5. Is 14 a factor of g? True Let k be ((-5)/5 + 4)/((-1)/(-3)). Let r(s) = -8*s - 7*s + s + 2*s**2 - 8. Is 14 a factor of r(k)? True Suppose -10*q - 8 = -2*v - 8*q, 0 = v + 5*q + 2. Let x(m) = m**2 - m + 5. Let o be x(0). Suppose -35 + o = -v*i. Is 5 a factor of i? True Suppose -13*f - 23*f + 540 = 0. Does 5 divide f? True Let s(y) = -11*y - 1. Suppose d + d = -4*a + 14, 0 = -d + 5*a. Suppose 0 = 5*p + 2*c - 5, -3*c = d*p + 2*c - 20. Is s(p) a multiple of 3? False Suppose -7*h = -2*h - 25. Suppose -h*r + 84 = -p, 0*r = -2*r + p + 36. Is r a multiple of 4? True Let j(s) = s**2 + 6*s - 3. Let p be j(-7). Let m be 4*1/p + 1. Suppose m*y = 5*y + 5*g - 109, -y + 48 = 4*g. Does 7 divide y? True Suppose 0 = -2*z + 4*n + 38, -7*z - 3*n = -2*z - 30. Let h = -21 - -6. Let s = z - h. Does 12 divide s? True Suppose 0 = x + 16 - 82. Suppose -x = -3*z - 4*u + 84, 0 = z - u - 43. Is 6 a factor of z? False Suppose 0 = -3*u + s + 709, 6*u = u - 2*s + 1189. Is u a multiple of 49? False Let n be 6 - (-8 + (-12)/(-3)). Let o(x) = 4*x + 1 + 5*x - n*x + 0. Is 9 a factor of o(-8)? True Suppose 6*h + 4*h - 20 = 0. Suppose 0 = h*s - 156 + 54. Does 9 divide s? False Is 16 a factor of 2*(4 + (-6460)/(-8) - 5)? False Let x = 12 + -10. Let q(s) = -s**2 - 5*s**2 + 4 - s**3 + 2*s + 5*s**x + 0. Does 16 divide q(-3)? True Let o = 0 - 6. Let a be (-46)/4 + (-3)/6. Is 29 a factor of ((-118)/o)/((-4)/a)? False Suppose -78 = z - 4*o, -3*z + 5*o + 149 = -6*z. Let d = z - -106. Suppose -t = -4*t + d. Is t a multiple of 15? False Suppose 0 = -3*b - 9, 0*v + 2*v - 3*b = 15. Suppose 2*w - 3*w = p - 17, -v*p + w + 47 = 0. Does 8 divide p? True Let y be (-2 - 3)*(9 - 10). Suppose 2 - y = -z. Suppose 2*t - 2*i = 188, z*t = -3*i + 128 + 136. Is t a multiple of 19? False Suppose -41 = 2*o + 5. Let j(p) = 18*p - 3. Let l be j(2). Let v = o + l. Does 3 divide v? False Let x(m) be the third derivative of -m**5/60 + m**4/4 - m**3/6 + 2*m**2. Let u be x(4). Suppose 30 = -2*d + u*d. Does 2 divide d? True Suppose -3*j + d = -1155 - 891, -2*j - d = -1364. Is 26 a factor of j? False Let m = 1064 + -604. Suppose 0 = -4*d + 7*b - 4*b + 614, 2*b = 3*d - m. Is 19 a factor of d? True Let o(z) = -z**3 + 13*z**2 + 18*z - 16. Let b = -17 - -31. Is 10 a factor of o(b)? True Suppose -5*u - 12 - 63 = 0. Is 2 a factor of 2 - (-2 + -1)*u/(-9)? False Suppose -3*b + 51 = -b + 5*u, 0 = b + 2*u - 23. Suppose 2*i + 3 - 29 = 0. Suppose i + b = t. Is 15 a factor of t? False Suppose 5*f + k = 7909, 9478 = 6*f + 2*k - 4*k. Is f a multiple of 93? True Let o(l) = -78*l**3 - l**2 + 2*l - 18. Does 25 divide o(-4)? True Suppose -4*y - t + 11 = 0, -3*y - 11 = -6*y + 2*t. Suppose 5*s - 47 = -3*w, s = -y*w + 4*s + 87. Is 8 a factor of w? True Let u(z) = z - 12. Let n(v) = v + 6. Let w be n(3). Let m be u(w). Is 16 a factor of (-139)/m + 28/42? False Let n(z) = -2*z**3 - 21*z**2 - 13*z + 42. Is n(-15) a multiple of 13? True Suppose -27*z = -26*z + 18. Is (120/z)/(6/(-27)) a multiple of 6? True Let g = -9 - -10. Suppose -g = u - 0*u. Does 14 divide (-3 + (-39 - 0))*u? True Suppose -2*k + 13 = -21. Let h(l) = -l**2 + 8*l - 9. Let c be h(2). Suppose -c*j + k = -67. Does 8 divide j? False Let g(r) = 25*r - 266. Does 19 divide g(38)? True Suppose 14*n = 1426 + 1122. Is n a multiple of 4? False Let b be 38/(-3 - (-15)/6). Let p = 28 + b. Let s = p - -73. Is s a multiple of 7? False Let k = -17 + 55. Suppose -4*m = -d - 204, -m + k = 3*d - 0. Is 9 a factor of m? False Let v be 2/((-6)/(-3)*1/4). Is 12 a factor of (-394)/(-5) - -3*v/60? False Let x = 720 - -133. Does 50 divide x? False Let j(m) be the third derivative of m**5/30 + m**4/3 + 4*m**3/3 - 26*m**2. Does 14 divide j(-6)? False Let m(s) = 143*s**3 - 2*s**2 + 1. Let x(r) = 2*r + 19. Let p be x(-9). Does 16 divide m(p)? False Let z = -4 - 8. Let p be (z/36)/(1/(-6)). Let f = 18 - p. Does 8 divide f? True Let v = -1779 - -1818. Is 3 a factor of v? True Let j = -1416 - -1383. Let q(a) = 2*a**3 - 2*a**2 - 2*a + 2. Let s be q(-2). Let u = s - j. Is u a multiple of 9? False Let w(y) = -2046*y**3 + 2*y + 2. Does 78 divide w(-1)? False Let m(y) = -4*y + 5. Let f be m(0). Suppose 213 = t - 3*l + f*l, 4*l - 1059 = -5*t. Does 28 divide t? False Is 6335/6 + (-27)/(-162) a multiple of 24? True Let o = -4 - -4. Let m be -2*(-2 - o)*40. Suppose 2*s - 3*s = -4*f + 128, 5*f - 2*s - m = 0. Is 16 a factor of f? True Let x(y) = 7*y + 7. Let u be x(9). Let w = 62 - 20. Let s = u - w. Is 14 a factor of s? True Is (-11 - 28452/(-60))/((-1)/(-5)) a multiple of 113? False Let b = -73 + 85. Does 2 divide (5/(20/(-8)) + b)*1? True Let o(g) = -2*g**3 - 4*g**2 + 3*g - 1. Let b(n) = -n**2 - 1. Let r(y) = 3*b(y) - o(y). Let t be 18/5 + -6*(-6)/(-60). Is r(t) a multiple of 21? False Let k = -1713 + 2306. Is 17 a factor of k? False Let j(u) = u**2 + 14*u - 4. Let t be j(-15). Let p be (11/(-22))/((-2)/8). Does 29 divide 8631/99 - p/t? True Let w = -30 + -96. Let y = -58 - w. Does 7 divide y? False Let o be 0 - 0/(-3)*1. Suppose -6*s + 130 + 8 = o. Does 17 divide s? False Suppose 3*v = -v - 56. Let x(f) = 2*f**2 + 3*f**2 + 15 - 4*f**2 + 47*f - 34*f. Is 8 a factor of x(v)? False Suppose 4*k + 0*k - 774 = 2*f, 2*f = 5*k - 968. Let v = -84 + k. Is v a multiple of 23? False Let o = 2 + 1. Suppose 8*j - o*j - 15 = 0. Suppose -j*b = -9*b + 54. Is b a multiple of 4? False Let z(f) be the third derivative of f**4/2 + f**3/3 - 6*f**2. Does 4 divide z(1)? False Is 6 a factor of (-5)/75 - 22965/(-225)? True Let c = 2467 - 2216. Is 20 a factor of c? False Let b = -702 + 1245. Is b a multiple of 6? False Let r(u) = -39*u - 2. Is r(-12) a multiple of 46? False Suppose -901 - 18910 = -11*p. Is 59 a factor of p? False Let w = 52 + 50. Does 2 divide w? True Is 63 a factor of 27/(-45) - (-23996)/35? False Suppose 15*h - 6 = 13*h. Suppose -3*y + 5*b + 41 = 0, 4*y - 6*b - 73 = -h*b. Does 22 divide y? True Suppose 162 = 3*q - 5*c + 27, 2*c = -2*q + 74. Suppose 0 = 5*y - 4*y - q. Is 6 a factor of y? False Let f(y) = 9 + 8*y + 3*y + 9*y + 14*y. Is f(4) a multiple of 29? True Suppose 0*k = -2*k - 8. Let t = 9 + k. Is 5 a factor of t - (-5 + 3/1)? False Let j be (5 + -2)*(2 - 1). Suppose -571 = 6*i - 11*i + o, -j*o + 225 = 2*i. Is i a multiple of 5? False Suppose -8*o + 4*o - 994 = -3*j, -5*o = 3*j - 985. Is j a multiple of 7? False Let x be 9/2 + 18/36. Suppose 4*b + x*y = 8*b - 988, b = 4*y + 236. Is 35 a factor of b? False Let a = 16 + -13. Suppose 0 = -n - a*n + 64. Suppose -2*o - n = -3*o. Does 8 divide o? True Let q = 37 + -35. Suppose -2 = -2*y, 70 - 12 = 2*k - q*y. Is 6 a factor of k? True Let q(b) = -b**2 - 7*b - 1. Let p be q(-6). Let z(h) = -7*h - 42. Let f be z(-24). Suppose 0 = p*y - f - 4. Is y a multiple of 13? True Suppose 4*u + 2580 = 4504. Does 13 divide u? True Suppose -5*n - i + 7 -
{ "pile_set_name": "DM Mathematics" }
- 4*i - 646 = 0. Suppose -5*z + p = -x*z. Is z a prime number? False Is 114500 - 35/(4 - -3)*-1 a prime number? False Let q(h) be the third derivative of -h**4/8 - 5*h**3/3 + 3*h**2. Let a be q(-5). Suppose 4*y + 405 = a*l - 1056, 2*l = -3*y + 589. Is l prime? True Let y = -2719 - -3893. Suppose -8*j - y = -10*j. Is j a composite number? False Let m be (-6)/15 - 84/(-10). Let j = m + -4. Suppose 139 = j*g - 121. Is g a composite number? True Let d = 9 - 11. Let j(o) = 5*o**2 + o - 2. Let i be j(d). Is 17*((-1)/(-1) + i) composite? True Suppose -5*a + 71547 = 2*a. Is a a composite number? True Let g(a) = -41*a**2 - 11*a + 4. Suppose z + 7 = 2*s - 0, 0 = -3*s - 2*z + 28. Let w be g(s). Is (w/(-4))/(2/4) a composite number? False Let j(r) = 1086*r - 20. Let k be j(-4). Let x = -2853 - k. Is x prime? True Suppose -2*o = 3*o - 20. Suppose o*k + 3*b = -0*k - 27, -k + 3*b + 12 = 0. Is 189 - -1*(-6)/k prime? True Let o(r) = 7*r - 372*r**3 + 1 - 3*r - r - r. Is o(-1) prime? False Let u be (3/(6/(-20)))/2. Let i = -5 - u. Suppose 5*f + 0 - 604 = 3*w, i = f + 4*w - 107. Is f composite? True Let y be ((-46)/69)/(2/(-4911)). Is y/11 - (-6)/33 prime? True Suppose 0*o - o + 3*u = -6, -5*u = 5*o - 10. Suppose o*g = s + 4532, g - 4*s - 1514 = -7*s. Is g composite? False Suppose -f - 8 - 9 = 5*g, 5*g + 57 = 4*f. Let h(k) = 32*k**2 - 11*k - 23. Is h(f) a prime number? False Let k(o) = o**2 - 11*o. Let i be k(11). Suppose i = -5*g - 25, 2*u + 5*g - 1151 = 2*g. Is u a composite number? True Let l = -1792 - -3693. Is l a composite number? False Let i(z) = -z**3 - 8*z**2 - 34*z - 36. Is i(-17) composite? True Is ((-129412)/(-10))/((-3)/(-30)*4) prime? True Suppose 17*c - 10476 = 14*c + g, -4*g - 3503 = -c. Is c composite? False Suppose 4*w - 30 = w. Let d = w + -1. Suppose -d*o = -5*o - 556. Is o composite? False Suppose 253166 + 278848 = 42*j. Is j a composite number? True Let l be (-5415)/(-20) - 2/(-8). Let v = 859 - l. Suppose 234 = 2*n - g - v, 3*g = -4*n + 1664. Is n prime? False Let o(z) = 1075*z + 25. Let i(v) = -717*v - 17. Let u(b) = 7*i(b) + 5*o(b). Let p be u(14). Suppose -3*m - 1887 = -3*q, -m + 1829 = -5*q + p. Is q composite? True Let z(n) = 30*n**3 + 6*n**2 - 6*n - 7. Is z(5) prime? True Let j be 145831/(-21) + 4/(-6). Let q be 4/(-18) - j/27. Suppose 0*z + q = z. Is z composite? False Suppose 3*o + 4 = -4*y - o, -2*y + 28 = -4*o. Suppose t - y*t + 2559 = 0. Is t a composite number? False Let u(n) be the third derivative of -13*n**6/24 + n**5/15 - n**4/6 + 2*n**3/3 - 8*n**2. Let v be u(2). Let l = v - -1017. Is l a prime number? True Suppose -30 = -3*k - 12. Let x = k + -4. Suppose -5*h + 436 = -x*j + 91, 0 = -3*j. Is h a prime number? False Let y(h) = 62*h**2 - 21*h + 254. Is y(9) prime? True Suppose 149059 = 14*m + 12321. Is m composite? False Suppose 20*p = 194 + 6. Suppose 3*d + 140 - 1898 = 0. Is (-12 + p)*d/(-4) prime? True Let v(b) = -b**2 + 1. Let s(i) = -4*i**2 + 5*i - 24. Let r(a) = -s(a) - 5*v(a). Is r(-6) composite? False Suppose -4*p = 5*p - 63. Suppose 2*s = p*s - 10805. Is s a composite number? False Let b be -1 - 333 - 0 - -4. Let a = 703 + b. Is a a composite number? False Suppose 28 - 4 = 12*x. Suppose -1228 = -x*a + 258. Is a a composite number? False Let a = 2429 - 4015. Let o = 3123 + a. Is o composite? True Let n(q) = 2*q**2 - 2 + 11*q**3 + 2*q**2 + 0 - 3*q**2 + 2*q. Let c be n(2). Is 0 + c + (-12)/(-4) a composite number? False Suppose 1614 = -2*a - 4*a. Let z = a + 547. Let p = 195 + z. Is p a composite number? True Suppose -5*m + 31664 = -3*f, f = 5*m + 3*f - 31649. Is m a prime number? False Let d be 0 + (-1)/5 - 5/(-25). Suppose -u - k + 226 = d, 0*u - 2*u = -4*k - 452. Is u prime? False Let m = -48 - -50. Suppose -4*v + 1673 = m*b - b, 4*v = 3*b + 1685. Is v prime? True Let l(o) = -18975*o**3 + o**2 + 2*o + 1. Let s be l(-1). Suppose -3*x - 4020 = -s. Is x a composite number? True Suppose 2*m = -4*u + 2190, -8 = -3*u + 4. Is m prime? True Let k = 8814 - 5779. Is k composite? True Let m(r) = -35*r - 4. Is m(-33) a prime number? True Suppose 3*z = 3*s - 21, 0 = -6*z + 4*z - 6. Suppose -s*t = -3*t + 2*k + 32, 0 = 5*t + 3*k + 160. Is (254/(-3))/(t/48) a composite number? False Suppose 5*v = 3*v. Let s(t) = t + 124. Let b be s(v). Suppose -b - 143 = -3*l. Is l a prime number? True Let i(j) = 3*j**2 - 27*j + 2. Let q be i(9). Suppose 788 = 4*f - 3*n, -q*f - 5*n + 950 = 3*f. Is f a prime number? False Suppose -3*r + 27 = -k + 4*k, -r + 19 = 3*k. Suppose -4*b + 1684 = b - t, k*b = -t + 1686. Is b composite? False Let n = 2152 + -721. Suppose 0 = 2*i - 5639 + n. Is (i/16)/((-2)/(-4)) a prime number? True Suppose 0 = t + 3*t - 3964. Suppose 5*o - o - 16 = 0. Suppose t = o*c - 5*d - 84, c = -d + 262. Is c a composite number? True Let s = -3668 + 5301. Is s a composite number? True Let n = 46349 + -30880. Suppose 5*k - n = -y, -2*y + 15445 = 5*k - 7*y. Is k prime? False Suppose -48*c + 4071969 = 51*c. Is c composite? False Let k be 898*((-21)/28)/(6/(-76)). Suppose -4*o + k = -3*a, -o + 3*a - 6372 = -4*o. Is o prime? True Let c = 14 - 7. Let u(f) = f**3 - 7*f**2 - f + 7. Let h be u(c). Suppose p = 4, h*x + 5*x - 173 = 3*p. Is x prime? True Let h = -17 - -26. Suppose v + 1304 = h*v. Is v a prime number? True Let o = 934 + -333. Suppose -3*u - 3*h = -3501, -5*h - 578 - o = -u. Is u prime? False Suppose -6*g = -2*g - 24. Suppose 6*k + g*k - 6684 = 0. Is k a composite number? False Let s = 11 + 1. Is 2529/s - 2/(-8) a composite number? False Let p = 6145 - 2768. Is p composite? True Let z(h) be the third derivative of h**6/72 + h**5/30 + 5*h**4/24 - 2*h**3/3 - 6*h**2. Let x(k) be the first derivative of z(k). Is x(6) a prime number? False Let y = -21137 + 36228. Is y prime? True Let t = 25302 - 7201. Is t a composite number? True Let u(g) = g**3 - 6*g**2 + 6*g. Let n be u(5). Suppose -v - q + 1 = 0, n*v - 3*q + 6*q = 15. Is (9/v + -2)*-166 a composite number? False Let h be (6/4)/((-21)/196). Let x = -14 - h. Suppose -u = -x*u - 86. Is u a prime number? False Let s(v) = v**3 - 8*v**2 + 6*v + 6. Let c be 14/(4 + -2)*1. Let q be s(c). Is (-3 - -70) + (1 - q) composite? True Let a = 14 + -9. Suppose 0 = -4*n + 20, 2*i + a*n - 37 = -2*i. Let x(m) = 47*m + 2. Is x(i) a prime number? False Let q(p) = -2*p + 8. Let t be q(-8). Suppose 27*l = t*l + 12. Suppose -2520 = 3*o - 8*o + w, 0 = 5*o - l*w - 2505. Is o prime? False Suppose 4*n + 5*w = 5600, 5*n + w - 6791 - 209 = 0. Let y(u) = -u**3 + 3*u**2 + 4*u - 9. Let c be y(2). Suppose c*d - 1621 = n. Is d prime? False Suppose 5*i + 10 = 3*z, 0*z = 5*z - 4*i + 5. Let o(j) = -18*j**3 - 5*j**2 - 6*j + 3. Let h be o(z). Suppose -h = 25*t - 27*t. Is t a composite number? True Suppose 6*r = 835 + 323. Let x(u) = -u + 2. Let d be x(4). Let o = r + d. Is o a prime number? True Suppose -5*d = 6*b - 450787, -12*b + 8*b - 12 = 0. Is d prime? False Let o(u) = 2*u**2 - 10*u + 19. Let q(a) = a**2 + 21*a - 34. Let x be q(-23). Is o(x) a prime number? False Let o be ((-4)/(-10))/(1 + 138/(-135)). Is (-32)/144 - 10570/o a prime number? True Suppose -3*m = 2*v - 1193, 0 = m + 1. Suppose 3*x + 402 = 2*n - x, -3*n + 5*x = -v. Is n a prime number? True Let y(f) = 4*f**3 - 15*f**2 + 29*f + 29. Is y(15) composite? False Suppose k - 3*p = 41, -5*p - 10 = -0*p. Suppose -k - 460 = -5*h. Let q = 278 - h. Is q composite? False Suppose r + r = 5*c + 683, 0 = 5*c + 5. Let h(f) = 89*f - 46. Let i be h(6). Let y = i - r. Is y a prime number? True Let k(p) = -15*p - 3. Let b be k(-1). Let i be 9/b - (-1570)/8. Suppose -2*h + i = h - 2*a, 4*a + 187 = 3*h. Is h composite? True Suppose 5*c = 3*c + 10. Suppose 581 = 4*h + c*j, 0*j - 5*j - 114 = -h. Is h composite? False Suppose 0*t - 3845 = -5*t. Is t a composite number? False Let l(c) = 105*c**2 - 4*c - 2. Let o be l(6). Suppose -2*s = 3*q - s - o, -5*s = -3*q + 3784. Is q a composite number? True Suppose m - 4 = 1. Let j(c) = m - 9*c - 3 - 8*c + 0*c. Is j(-3) prime? True Suppose -10*b = -46 - 174. Suppose -3*t = -3*s - 3, -3*t - s + 13 = s. Let o = b - t. Is o composite? False Let z = -2094 + 6083. Is z prime? True Let n(h) = 2*h + 21. Let d be n(-9). Suppose m - 3 = d*c - 6*c, 3*c - 3 = 2*m. Suppose 2*o - 5*a - 829 = m, -3*o - a + 1233 = -5*a. Is o prime? False Suppose -1991 =
{ "pile_set_name": "DM Mathematics" }
(x - 29177)*(x - 1)/2 Find q, given that 35*q**3 - 444125*q**2 - 317260*q + 126900 = 0. -1, 2/7, 12690 Find f, given that -2*f**5/5 + 436*f**4/5 + 15854*f**3 + 2584552*f**2/5 - 2260648*f + 2325440 = 0. -65, 2, 344 Factor -3*m**2 - 534*m - 9480. -3*(m + 20)*(m + 158) What is s in -s**5/2 + 129*s**4/2 - 314*s**3 + 498*s**2 - 248*s = 0? 0, 1, 2, 124 Factor 2*u**3/7 - 8500*u**2/7 + 1291392*u - 18045504/7. 2*(u - 2124)**2*(u - 2)/7 Factor -c**3 + 175*c**2 - 7072*c + 83148. -(c - 123)*(c - 26)**2 What is n in -3*n**5/7 + 9621*n**4/7 - 7765872*n**3/7 + 11852268*n**2 + 148422240*n + 2328886848/7 = 0? -4, 19, 1598 Factor u**5 + 213*u**4 - 215*u**3 - 213*u**2 + 214*u. u*(u - 1)**2*(u + 1)*(u + 214) Factor 20*p**2 - 7236*p - 332072. 4*(p - 403)*(5*p + 206) Determine r, given that -2*r**5 + 49*r**4/2 - 92*r**3 + 283*r**2/2 - 86*r + 14 = 0. 1/4, 1, 2, 7 Determine a so that -3*a**4/4 - 105*a**3/2 - 417*a**2 + 20538*a + 42336 = 0. -42, -2, 16 Let -4*l**5/7 + 183*l**4/7 - 311*l**3/7 + 132*l**2/7 = 0. Calculate l. 0, 3/4, 1, 44 Solve -m**3 + 238587*m**2/7 - 681617*m/7 - 102243/7 = 0 for m. -1/7, 3, 34081 Factor 2*q**2/3 - 339826*q/3. 2*q*(q - 169913)/3 Determine l, given that 21*l**5 - 14769*l**4 + 3037311*l**3 - 149111331*l**2 + 460188900*l - 119380932 = 0. 2/7, 3, 66, 317 Factor -605*m**4 - 836330*m**3 - 289180065*m**2 - 105073460*m - 9549620. -5*(m + 691)**2*(11*m + 2)**2 Find y such that -5*y**2/9 - 683*y/9 - 3040/3 = 0. -608/5, -15 Factor 2*m**4 + 2524*m**3 + 15058*m**2 - 17584*m. 2*m*(m - 1)*(m + 7)*(m + 1256) Factor g**4/3 + 2292*g**3 + 11785414*g**2/3 - 39456780*g + 296356225/3. (g - 5)**2*(g + 3443)**2/3 Factor 3*n**4 - 786*n**3 + 768*n**2 + 3906*n + 2349. 3*(n - 261)*(n - 3)*(n + 1)**2 Suppose -10*j**3 - 49774*j**2/7 - 2844*j/7 = 0. What is j? -711, -2/35, 0 Factor a**5/2 - 151*a**4/2 + 3666*a**3 - 67600*a**2 + 246064*a + 3427320. (a - 78)*(a - 26)**3*(a + 5)/2 Factor 4*c**3 - 1928*c**2 + 56304*c + 48690720. 4*(c - 306)**2*(c + 130) Let 3*l**2/4 - 111*l/4 + 174 = 0. Calculate l. 8, 29 Let 37361523*u**2 - 296436*u + 588 = 0. Calculate u. 14/3529 Determine d, given that -6*d**3/5 + 1898*d**2/5 - 37802*d/5 + 2478 = 0. 1/3, 21, 295 Find x, given that -2*x**4 + 212*x**3 + 2858*x**2 - 3068*x = 0. -13, 0, 1, 118 What is x in 50*x**5/3 - 1930*x**4 + 21508*x**3/3 - 25640*x**2/3 + 3888*x - 1792/3 = 0? 2/5, 1, 2, 112 Factor -2*x**3 + 514*x**2 + 2088*x. -2*x*(x - 261)*(x + 4) Factor 4*j**3 + 396*j**2 + 7712*j - 17040. 4*(j - 2)*(j + 30)*(j + 71) Factor -o**2/6 - 423505*o/3 - 179356485025/6. -(o + 423505)**2/6 Solve 3*h**5 - 150*h**4 - 2319*h**3 - 8658*h**2 - 2484*h + 13608 = 0. -6, -2, 1, 63 Factor 14*h**4 + 236*h**3 + 702*h**2. 2*h**2*(h + 13)*(7*h + 27) Find b such that -b**5 + 830*b**4 - 65917*b**3 + 1441764*b**2 - 2689092*b + 1312416 = 0. 1, 42, 744 Factor -162*g**2/5 + 246*g + 428/5. -2*(3*g + 1)*(27*g - 214)/5 Find s such that -5*s**5 - 16030*s**4 - 112005*s**3 - 127880*s**2 + 255920*s = 0. -3199, -4, 0, 1 Let y**5/6 + 45*y**4/2 + 2815*y**3/3 + 39545*y**2/3 + 47275*y/2 + 68231/6 = 0. What is y? -71, -31, -1 Factor -w**3/6 + 461*w**2/6 - 31751*w/6 + 31291/6. -(w - 377)*(w - 83)*(w - 1)/6 Solve -4*t**5 - 22932*t**4 - 31641516*t**3 + 3513074020*t**2 - 95639797344*t + 92158387776 = 0. -2919, 1, 52 Factor 5*p**2 + 9975*p + 187720. 5*(p + 19)*(p + 1976) Factor 2*b**5/3 - 54*b**4 + 1216*b**3 - 14440*b**2/3. 2*b**2*(b - 38)**2*(b - 5)/3 Factor -3*s**3/4 - 257787*s**2/4 + 515583*s/4 - 257793/4. -3*(s - 1)**2*(s + 85931)/4 Suppose -5*b**5 - 40025*b**4 + 400570*b**3 - 1442430*b**2 + 2163915*b - 1082025 = 0. What is b? -8015, 1, 3 Solve -2*m**2/15 + 244*m/3 + 2480/3 = 0. -10, 620 Determine d so that -2*d**3/5 + 25588*d**2/5 - 970178*d/5 + 9209832/5 = 0. 19, 12756 Let -5*r**3 + 14335*r**2 - 228080*r = 0. Calculate r. 0, 16, 2851 Determine y, given that -5099*y**2 + 25502*y - 35 = 0. 7/5099, 5 Solve 4*u**5 - 140*u**4 + 396*u**3 - 388*u**2 + 128*u = 0 for u. 0, 1, 32 Find y, given that -2*y**2/7 + 690412*y/7 - 59583591218/7 = 0. 172603 Factor 4*h**3 + 3632*h**2 - 142348*h + 1366024. 4*(h - 19)**2*(h + 946) Let 5*a**3/6 - 8983*a**2/6 - 6292*a/3 - 1798/3 = 0. Calculate a. -1, -2/5, 1798 Solve 3*x**2/2 - 294*x - 9495/2 = 0 for x. -15, 211 Let -5*w**5 - 20559*w**4 - 36973*w**3 + 69867*w**2 - 12330*w = 0. What is w? -4110, -3, 0, 1/5, 1 Factor -4*z**2 + 1914*z + 2880. -2*(z - 480)*(2*z + 3) Factor d**3 - 17850*d**2 - 142857*d - 125006. (d - 17858)*(d + 1)*(d + 7) Suppose -210*k**4 - 2518*k**3 - 4386*k**2 + 20622*k - 196 = 0. Calculate k. -7, 1/105, 2 Let 4*f**2/9 - 8848*f + 79628/9 = 0. Calculate f. 1, 19907 Factor s**3 + 159*s**2 + 927*s - 498623. (s - 47)*(s + 103)**2 Let 6*b**3 + 1257*b**2 + 64656*b - 32643 = 0. What is b? -117, -93, 1/2 What is r in -12*r**4 - 1604*r**3 + 162148*r**2 - 52796*r - 107736 = 0? -201, -2/3, 1, 67 Factor 5*j**5/2 - 48375*j**4/2 + 96735*j**3/2 - 48365*j**2/2. 5*j**2*(j - 9673)*(j - 1)**2/2 Determine w, given that 2*w**4/7 + 2412*w**3/7 + 787226*w**2/7 + 36184824*w/7 + 450120008/7 = 0. -577, -26 Determine r, given that -2*r**4/7 - 1698*r**3/7 - 67392*r**2 - 40310784*r/7 + 716636160/7 = 0. -288, 15 Suppose -27*d**5 - 90*d**4 - 12*d**3 + 42*d**2 - 9*d = 0. What is d? -3, -1, 0, 1/3 Factor 185*z**3 + 2145*z**2 + 5760*z - 2700. 5*(z + 6)**2*(37*z - 15) Factor 4*t**4 + 56660*t**3 + 56656*t**2. 4*t**2*(t + 1)*(t + 14164) Determine t, given that 36*t**3 - 614*t**2 - 8542*t + 4420 = 0. -85/9, 1/2, 26 Factor -3*g**3 + 513*g**2 - 16893*g + 16383. -3*(g - 127)*(g - 43)*(g - 1) Solve 5*l**2 - 704120*l + 24789248720 = 0 for l. 70412 Let -2*d**4 + 406*d**3 - 20096*d**2 + 241632*d + 1762560 = 0. Calculate d. -5, 36, 136 Suppose 2*l**5/7 - 222*l**4/7 + 6758*l**3/7 - 68058*l**2/7 + 116720*l/7 - 55200/7 = 0. What is l? 1, 20, 69 Factor -3*c**2 + 65097*c + 130206. -3*(c - 21701)*(c + 2) Find r, given that r**4/7 - 324*r**3/7 = 0. 0, 324 Determine v, given that -9*v**5 - 2958*v**4 - 10743*v**3 - 5850*v**2 = 0. -325, -3, -2/3, 0 Solve -2*x**2 - 117664*x - 235320 = 0 for x. -58830, -2 Determine f, given that 4*f**3 - 298*f**2 + 4558*f = 0. 0, 43/2, 53 What is s in 2*s**4/9 - 4946*s**3/3 + 9176066*s**2/3 - 27513362*s/9 = 0? 0, 1, 3709 Suppose 2*f**5/13 - 7962*f**4/13 + 813348*f**3 - 361122840*f**2 + 1076064912*f = 0. Calculate f. 0, 3, 1326 Find d such that 5*d**3 + 2240*d**2 + 65840*d - 299520 = 0. -416, -36, 4 Factor -4*w**3/3 + 3395*w**2/3 + 3691*w + 852. -(w - 852)*(w + 3)*(4*w + 1)/3 Determine g so that g**4/2 - 306*g**3 + 3639*g**2/2 - 904*g - 3030 = 0. -1, 2, 5, 606 Determine k so that 3*k**5/7 + 225*k**4/7 - 702*k**3/7 + 12*k**2/7 + 936*k/7 = 0. -78, -1, 0, 2 Factor -j**2/3 - 9347*j/3 - 6230. -(j + 2)*(j + 9345)/3 Factor 4659298686*t**2 + 291888*t + 32/7. 2*(127701*t + 4)**2/7 Factor 3*q**4 + 2616*q**3 + 567666*q**2 - 1143192*q + 572907. 3*(q - 1)**2*(q + 437)**2 Factor f**2/4 - 481*f/2 + 188925/4. (f - 687)*(f - 275)/4 Let 2*h**2 - 126614*h = 0. Calculate h. 0, 63307 Factor 3*v**3/5 - 4992*v**2/5 - 110913*v/5 - 612018/5. 3*(v - 1686)*(v + 11)**2/5 Factor 32*t**2 + 2658*t + 166. 2*(t + 83)*(16*t + 1) Factor 2*g**3/13 + 3508*g**2/13. 2*g**2*(g + 1754)/13 Solve -3*m**5 - 39*m**4 - 60*m**3 + 480*m**2 + 288*m - 1296 = 0 for m. -9, -6, -2, 2 Solve 5*a**2/2 - 1875*a/2 + 5535 = 0. 6, 369 Let -2*y**2/13 + 60166*y/13 - 120324/13 = 0. Calculate y. 2, 30081 Find u such that 2*u**4/15 + 124*u**3/3 + 11960*u**2/3 + 338000*u/3 = 0. -130, -50, 0 Solve -3*z**4 - 351*z**3 - 918*z**2 + 12216*z - 10944 = 0 for z. -114, -8, 1, 4 Let 2*y**3 + 11466*y**2 + 45840*y + 45832 = 0. Calculate y. -5729, -2 Factor 10*k**3 - 9724*k**2 + 618608*k - 245888. 2*(k - 904)*(k - 68)*(5*k - 2) Factor -l**3/7 - 188*l**2/7 + 6323*l/7 + 930. -(l - 30)*(l + 1)*(l + 217)/7 Suppose 5*z**3 + 75*z**2 - 290*z - 360 = 0. What is z? -18, -1, 4 Find j, given that -2*j**3/3 + 40*j**2/3 - 14*j/3 - 152 = 0. -3, 4, 19 Factor 3*q**2 - 7755*q + 222372. 3*(q - 2556)*(q - 29) Determine s, given that -s**2/4 + 245*s - 25800 = 0. 120, 860 Factor 419*f**3 - 2516*f**2 - 46916*f + 224. (f - 14)*(f + 8)*(419*f - 2) Solve 3*a**3 + 6483*a**2 - 130752*a + 235548 = 0. -2181, 2, 18 Find h such that h**4/4 - 110*h**3 - 8329*h**2/4 + 9749*h - 7557 = 0. -22, 1, 3, 458 Factor -4*a**3 + 1769936*a**2 - 195792090256*a. -4*a*(a - 2
{ "pile_set_name": "DM Mathematics" }
y(d)). -72*d**2 Let h(j) = -1397*j**2 + 3*j. Let t(f) = 2*f + 244. Let x(s) = 61. Let q(g) = -t(g) + 4*x(g). What is q(h(w))? 2794*w**2 - 6*w Let i(f) = -15*f**2 - 46*f - 8. Let g(o) = 31*o**2 + 92*o + 18. Let s(t) = 4*g(t) + 9*i(t). Let u(j) = -2*j**2. Give s(u(a)). -44*a**4 + 92*a**2 Let o(z) = -z**2. Let h = 37 - 32. Let f(q) = -12*q**2 - h + q**2 + 1 + 10. Let j(g) = 22*g**2 - 11. Let m(b) = 11*f(b) + 6*j(b). What is m(o(r))? 11*r**4 Let l(r) be the first derivative of 0*r - 232 - 31/2*r**2. Let y(g) be the third derivative of -g**5/20 - g**2. Determine y(l(u)). -2883*u**2 Let i(l) = l**2 - 1 + 5*l**2 + 9 + l**2. Let b(n) = -14*n**2 - 14. Let p(o) = -4*b(o) - 7*i(o). Let m(f) = 3*f. Determine p(m(z)). 63*z**2 Let m(a) = 44*a**2. Let l(o) = 3*o**2 + 10. Let c(i) = 5*i**2 + 16. Suppose -3*f - 9 = -x + f, 5*x = -3*f + 22. Let b(z) = x*c(z) - 8*l(z). What is b(m(t))? 1936*t**4 Let t(q) = -2*q**2. Let j(w) be the third derivative of 91*w**5/60 + 7143*w**2. What is t(j(u))? -16562*u**4 Let s(b) = -461*b**2 - 453*b**2 + 1359*b**2 - 468*b**2. Let m(x) = 10*x. Let j(q) = q. Suppose -4*y + 40 = -48. Let a(v) = y*j(v) - 2*m(v). Calculate a(s(l)). -46*l**2 Let d(w) = 6*w**2. Suppose 25*h + 67 = 117. Let c(r) be the third derivative of 14*r**h + 0 - 1/20*r**5 + 0*r + 0*r**3 + 0*r**4. Calculate c(d(k)). -108*k**4 Let d(w) = 10*w**2 - 5*w**2 + 15*w**2. Let r(z) = -11*z**2 - 5. Let x(b) = -2*b**2 - 1. Let q(m) = -3*r(m) + 15*x(m). What is d(q(i))? 180*i**4 Let q(c) be the second derivative of -14*c**3 + 2*c + 107. Let t(f) = -20*f. Calculate q(t(w)). 1680*w Let i(u) = -10989*u**2 - 693*u - 693. Let w(r) = 16*r**2 + r + 1. Let g(o) = 2*i(o) + 1386*w(o). Let f(y) = 5*y. Determine g(f(n)). 4950*n**2 Let f(d) = 8*d**2 + 6*d**2 - 24*d**2 + 12*d**2 - d**2. Let l(x) = 18*x + 48*x + 21*x - 2*x. Give l(f(p)). 85*p**2 Let y(v) = 3565*v - 487. Let c(x) = -2*x + 5. Calculate c(y(g)). -7130*g + 979 Let r(g) = 53*g + 44*g + 4*g**2 - 97*g. Let s(m) = -3*m - 14. Give s(r(x)). -12*x**2 - 14 Let q(s) = 13*s**2. Let m(a) be the third derivative of 11*a**6/720 - 37*a**4/8 + 128*a**2. Let p(b) be the second derivative of m(b). What is q(p(z))? 1573*z**2 Let t(r) be the first derivative of 0*r + 1/8*r**4 + 0*r**3 - 34 + 19*r**2. Let g(c) be the second derivative of t(c). Let y(f) = -12*f. What is y(g(z))? -36*z Let r(l) = -11*l. Suppose 0 = -7*s + 21*s - 56. Let t(f) = -s*f + 82*f - 42*f. Calculate t(r(a)). -396*a Let y(d) = 4412*d - 8827*d + 4409*d. Let v(b) = -b**2 - 10*b**2 + b**2 - b**2. What is v(y(x))? -396*x**2 Let h(f) = -26*f**2 + 14*f - 18*f + 5*f. Let v(w) = -30*w**2 - 5. Let j(g) = 17*g**2 + 3. Let i(q) = 5*j(q) + 3*v(q). What is h(i(z))? -650*z**4 - 5*z**2 Let r(f) = 19654*f**2. Let t(x) = 120*x + 41. Give t(r(p)). 2358480*p**2 + 41 Let v(p) = -3*p**2. Let d(n) be the second derivative of 11*n**6/360 - n**5/120 + 16*n**4/3 + 79*n. Let m(x) be the third derivative of d(x). Give v(m(c)). -1452*c**2 + 132*c - 3 Let s(h) = 42375919*h**2. Let t(f) = 3*f. Give t(s(k)). 127127757*k**2 Let y(h) = -4263*h. Let q(t) = -2504*t - 2492*t + 4997*t. Determine q(y(u)). -4263*u Let v(y) = 2*y**2. Let q(a) be the third derivative of -a**3/3 + 14*a**2. Let w(o) = -20*o - 18. Let n(f) = 8*q(f) - w(f). Determine v(n(d)). 800*d**2 + 160*d + 8 Let y(d) = -779*d. Let i(f) = 22697*f. What is y(i(t))? -17680963*t Let j(g) = 10*g. Let v(h) = 49*h + 9. Let o(p) = 40*p + 8. Let l(y) = 4*o(y) - 3*v(y). Give l(j(w)). 130*w + 5 Let q(r) be the first derivative of 0*r - 1/2*r**2 + 51. Let y(s) = -2*s - 5. What is y(q(m))? 2*m - 5 Let q(v) = 3733*v**2. Let c(o) = 30*o**2 - 14*o**2 - 25*o**2 + 10*o**2. What is c(q(i))? 13935289*i**4 Let y(t) be the first derivative of -t**2/2 + 1. Let u(o) be the second derivative of o**3/6 - 5*o**2/2 + 125*o - 12. What is u(y(v))? -v - 5 Let t(g) = -36*g**2. Suppose -b - 5 = 5*i + 2, 4*b - i = 35. Let u be (0 - b/(-6))/((-38)/(-57)). Let d(f) = 2*f**2 + 2*f**u - 5*f**2. Give t(d(m)). -36*m**4 Let p(b) = -126*b + 15. Let l(o) = -o + 3900. Give p(l(w)). 126*w - 491385 Let l(o) = -3*o**2. Let a(h) = h + 34. Let i be -19 - ((-8)/48 - 26/(-12)). Let x be a(i). Let v(w) = 16*w**2 - 31*w**2 + x*w**2. Determine v(l(t)). -18*t**4 Let x(y) = 2*y**2. Let b(v) = -922*v + 132. Let f(a) = -230*a + 32. Let m(n) = -8*b(n) + 33*f(n). Determine x(m(o)). 91592*o**2 Let x(t) = -187*t**2 + 61*t**2 + 33*t**2. Let p(o) = 7*o**2. Give p(x(c)). 60543*c**4 Let y(b) = 12*b. Let k(o) = -7692536*o. Determine y(k(v)). -92310432*v Let y(i) = -842*i**2 + 1087*i. Let z(c) = 8*c. Calculate y(z(n)). -53888*n**2 + 8696*n Let r(a) = 28*a. Let o(z) = 4*z + 0*z - 25*z + 12*z. Let v(q) = -10*o(q) - 3*r(q). Let u(i) = -4*i. Calculate v(u(d)). -24*d Let s be (25/10 - 2)*4. Let t(m) = 13*m + 3. Let f(z) = 14*z + 2. Let l(p) = s*t(p) - 3*f(p). Let d(q) = 2*q + 25 - 25. Determine l(d(u)). -32*u Let t(n) = -15*n - 5. Let w(j) be the first derivative of -j**2 + 619. What is w(t(c))? 30*c + 10 Let j(r) = r - 21. Let v = 11 - 11. Suppose 5*i + 0 + 20 = 0, v = 2*l + 5*i + 16. Let z(m) = 5*m**2 - 17*m**l + 5*m**2 + 5*m**2. Give z(j(n)). -2*n**2 + 84*n - 882 Let w(h) = -964*h**2 + 22*h. Let i(f) = -963*f**2 + 20*f. Let j(r) = -11*i(r) + 10*w(r). Let b(p) = -p**2. Determine b(j(m)). -908209*m**4 Let h(y) = 6480*y. Let g(n) = 683*n + 1. What is g(h(a))? 4425840*a + 1 Let m(y) be the second derivative of y**5/12 + 59*y**2/2 - 160*y. Let u(f) be the first derivative of m(f). Let l(b) = -21*b**2. What is l(u(k))? -525*k**4 Let l = -566 - -990. Let a(y) = -426*y**2 - l*y**2 + 865*y**2. Let v(x) = 5*x. Give v(a(w)). 75*w**2 Let k(g) = -222*g**2. Let c(f) = -95422*f**2. Calculate c(k(y)). -4702777848*y**4 Suppose 2046*n - 2037*n = 0. Let o(b) be the third derivative of 0*b + 0 + 3/4*b**4 - 8*b**2 + n*b**3. Let v(k) = -k**2. Give v(o(i)). -324*i**2 Let i(u) = u. Let l(s) = s - 260. Let m(z) = -18. Let g(b) = 2*l(b) - 6*m(b). Give g(i(q)). 2*q - 412 Let u(g) = -265*g + 62*g + 69*g + 62*g - 2*g**2 + 72*g. Let y(d) = 1 + 18*d**2 - 1. Determine u(y(m)). -648*m**4 Let q(p) = 14*p**2 - 7*p**2 - 52*p**2 + 14*p**2 + 11*p**2 + 17*p**2. Let n(y) = -3*y**2 + 7*y**2 + 3*y**2. What is n(q(f))? 63*f**4 Let t(f) = -17*f. Let q(y) = -2*y + 41. Let n be q(19). Let r(v) = -9*v**2 - 3*v + n*v + 0*v. Calculate t(r(l)). 153*l**2 Let p(y) = 2041913*y. Let x(i) = -81*i**2. Calculate p(x(r)). -165394953*r**2 Let t(n) = 8*n**2. Let d(g) = -g**2 + 14*g - 25. Let h be d(5). Let y(r) = -31*r**2 + 70*r**2 - h*r**2. Calculate t(y(q)). 2888*q**4 Let t(g) = -g**2 + 1. Let o(i) = -30*i**2 + 25. Let r be ((-75)/(-6))/(4*4/32). Let d(l) = r*t(l) - o(l). Let b(n) = 4*n**2. Calculate b(d(m)). 100*m**4 Let u(m) = 70*m. Let i(y) = -32*y + 3. Let j(v) = -16*v**2 + 192*v - 18. Let k(z) = -6*i(z) - j(z). Calculate u(k(f)). 1120*f**2 Let m(j) = 2*j. Let d(x) = 163580408*x. Calculate d(m(l)). 327160816*l Let r(p) = 0*p**2 + 2*p**2 - 7*p**2. Let g(u) be the third derivative of 0*u + 0*u**3 + 119*u**2 + 1/8*u**4 + 0. Give g(r(j)). -15*j**2 Let p(h) = 2*h**2. Let t = -94 + 102. Let v(c) = 29*c + 12*c**2 - 29*c - 1 - 2 - t. Determine p(v(i)). 288*i**4 - 528*i**2 + 242 Suppose -15*m = -1796486 - 6709. Let r(j) = -m + 120213 + j. Let t(i) = -44*i**2 - 6. Calculate r(t(q)). -44*q**2 - 6 Let d(l) be the third derivative of -l**5/12 + 17*l**2 - 5*l. Let p(b) = 625*b. Give p(d(k)). -3125*k**2 Let l(p) = -2*p. Let g(d) = 22*d - 763406. Give g(l(k)). -44*k - 763406 Let o(x) = -64*x**2 + 6*x - 6. Let b(y) = -117*y**2 + 11*y - 11. Let u(f) = 6*b(f) - 11*o(f). Let l(a) = -825*a. Give u(l(i)). 1361250*i**2 Let q(d) = 311*d - 2. Let i(f) = 312*f + 278*f - 588*f. Determine q(i(h)). 622*h - 2 Let c(u) = 11*u - 1459 + 2876 - 1417. Let j(b) = 4*b - 3. Let f be j(2). Let q(h) = -4 + f - 1 + 3*h**2. Calculate c(q(s)). 33*s**2 Let n(g) = g. Let r(f) = -2. Suppose 4*b - 4*t + 24 = 0, -5*t = -b + 3*b + 40. Let l(m) = -2*m + 5. Let s(j) = b*r(j) - 4*l(j). What is n(s(c))? 8*c Let k(c) = -2*c. Suppose -15*f + 9*f = -120. Let u(q) = 6*q + 429 - 429 - f*q. What is k(u(j))? 28*j Let l(m) = -205599 + 205599 - 2*m. Let n(p) = 54*p + 9. Determine n(l(c)). -108*c + 9 Let n(m) = 8*m**2 + 6. Let s(i) = 5*i. Let k(w) = -4*w. Let f(b) = 8*k(b) + 5*s(b). What is n(f(j))? 392*j**2 + 6 Suppose -5*z - 70
{ "pile_set_name": "DM Mathematics" }
vative of 7*r**4/4 - r**3/2 + 1337*r. What is 7*l(z) + 3*q(z)? -7*z**2 - 2*z Let t be 120/25 + -1 - (-19)/95. Let v(h) = -4. Suppose 0*x = x, -5*m + 2*x + 15 = 0. Let l(j) = -j + 5. Determine m*l(y) + t*v(y). -3*y - 1 Let f(l) = -29*l**2 - 311*l + 86. Let o(x) = -21*x**2 - 232*x + 64. Give -8*f(d) + 11*o(d). d**2 - 64*d + 16 Let s(h) = 1. Let l(t) = 0*t - 5*t - 13*t + 6 - t + 8*t. Suppose -3*o + x + 31 = -8*o, -5*o - 33 = 3*x. Determine o*s(f) + l(f). -11*f Let z(t) be the first derivative of -t**3 + 11*t**2/2 + 11*t + 4037. Let g(x) = -x**2 + 3*x + 3. Calculate 22*g(y) - 6*z(y). -4*y**2 Let i(q) = 63*q**2 + 219*q + 5. Let n(g) = -43*g**2 - 109*g - 3. Calculate -3*i(y) - 5*n(y). 26*y**2 - 112*y Let b(c) be the third derivative of c**4/8 + 4503*c**2. Let d(s) = -2*s. Determine -2*b(a) - 5*d(a). 4*a Let d(s) be the third derivative of -s**6/120 - s**5/60 - s**3/6 - 1969*s**2 - 2*s - 2. Let b(g) = g**3 + 1. Give -6*b(k) - 5*d(k). -k**3 + 5*k**2 - 1 Suppose 0 = -5*q + 4*p - 22, 175*q - 177*q + 4*p = 4. Let h(a) = 7*a - 25. Let j(x) = -2*x + 6. Give q*h(c) - 22*j(c). 2*c + 18 Let f(l) = -10*l - 2. Suppose 3*o = -63 + 39. Let d(k) = -k - 1. Give o*d(t) + f(t). -2*t + 6 Let n(q) = -12242 + 2*q**2 + 6*q + 6184 + 6069. Let g(c) = -c**2 - c - 1. Determine 4*g(w) + n(w). -2*w**2 + 2*w + 7 Let m(w) = -22*w**2 + 17*w - 5. Let g(z) = 24*z**2 - 20*z + 5. Determine -6*g(y) - 7*m(y). 10*y**2 + y + 5 Let t(k) = -5*k**3 - 7*k**2 - 2*k - 2. Let f(x) = -196*x + 20638 - 20637 + 197*x + 4*x**3 + 6*x**2. Determine 4*f(g) + 3*t(g). g**3 + 3*g**2 - 2*g - 2 Let j(x) = 477004772*x**2 - 151328*x - 75664. Let u(s) = -18913*s**2 + 6*s + 3. Determine -3*j(a) - 75664*u(a). 18916*a**2 Let l be 1 + (5 - -398) + -4. Let j = -401 + l. Let f(b) = b - 1. Let x(o) = -4*o**2 + o + 2. What is j*x(t) - 2*f(t)? 4*t**2 - 3*t Let k(i) be the third derivative of 5*i**4/24 - 8*i**3 - 3*i**2 - 112*i - 4. Let m(f) = -f + 12. Determine -4*k(p) - 18*m(p). -2*p - 24 Let n(i) be the third derivative of -i**5/60 + i**4/24 + i**3/6 + i**2. Let o(b) = 7*b**2 - b - 5. Let v = 24318 + -24315. What is v*n(m) + o(m)? 4*m**2 + 2*m - 2 Let o(u) = -11*u**3 + 6*u**2 + 6*u. Suppose 9 = 99*z + 603. Let w(b) = 9*b**3 - 2*b**2 + b**3 - 5*b - 3*b**2. Determine z*w(a) - 5*o(a). -5*a**3 Let a(m) = 7*m. Let t(i) = -10*i. Let v(f) = -7*a(f) - 5*t(f). Let w(s) = -s - 1. Let x(n) = -4*n - 6. Let k(c) = 5*w(c) - x(c). Calculate -k(g) - 2*v(g). -g - 1 Let i(m) = -2*m**2 + 4. Let v(y) = -117*y**2 - 12*y + 56. Calculate -14*i(r) + v(r). -89*r**2 - 12*r Let b(r) = -r**2 - r. Let q be 56/5 - -1 - 2/10. Suppose -18*c + q = -15*c. Let i(o) = -6*o**2 - 3*o + 1. Give c*b(n) - i(n). 2*n**2 - n - 1 Let k(d) = -29*d**2 - 9*d + 19. Let q(l) = -86*l**2 - 26*l + 54. Determine 17*k(o) - 6*q(o). 23*o**2 + 3*o - 1 Let x be (-60)/40*(-20)/15. Let g(c) = 57*c - 15. Let m(v) = 2*v. Let s(p) = -2. Let j(h) = -4*m(h) - s(h). Give x*g(f) + 15*j(f). -6*f Let i(k) be the first derivative of -22*k**3/3 - 3*k**2 - 16*k + 7435. Let b(y) = -7*y**2 - 2*y - 5. Calculate 7*b(j) - 2*i(j). -5*j**2 - 2*j - 3 Let i(w) be the second derivative of -23*w**4/12 + w**3/3 + w**2 + 2795*w. Let z(v) = 2000*v**2 - 175*v - 175. Determine -175*i(c) - 2*z(c). 25*c**2 Let h(v) = v - 1. Let u(j) = 4*j**2 - 4*j - 15. Calculate 5*h(c) - u(c). -4*c**2 + 9*c + 10 Let z(j) = 51*j**2 + 1073*j + 6. Let o(d) = -94*d**2 - 2147*d - 11. Give 6*o(r) + 11*z(r). -3*r**2 - 1079*r Let s(i) = 7*i**3 - 13*i**2 - 20*i. Let x(m) = -9*m**3 + 13*m**2 + 20*m. What is 3*s(u) + 2*x(u)? 3*u**3 - 13*u**2 - 20*u Let d(k) = 15*k**3 - 54*k**2 - 9*k + 12. Let j(g) = -42*g**3 + 161*g**2 + 26*g - 34. Give 11*d(y) + 4*j(y). -3*y**3 + 50*y**2 + 5*y - 4 Suppose -39*x - 19 = -58*x. Let y(v) = -v - 1. Let j(r) = -5. What is x*j(s) + 2*y(s)? -2*s - 7 Let c(i) = -7*i**2 + 5*i - 36. Let f(x) = 14*x**2 - 8*x + 66. Determine 11*c(z) + 6*f(z). 7*z**2 + 7*z Let s(k) = -905*k + 908*k - 6628 + 6627. Let b(m) = 4*m. Calculate -3*b(o) + 2*s(o). -6*o - 2 Let w(m) be the third derivative of -m**4/8 - 24*m**2 + 125*m. Suppose -6*k = -k + 5. Let x(t) = -t. Calculate k*w(d) + 2*x(d). d Let k(n) = 47*n**3 + 2*n**2 - 12*n + 112. Let o(t) = -t**3 + t**2 - 3*t + 3. Calculate -k(v) + 4*o(v). -51*v**3 + 2*v**2 - 100 Let t(n) = n**2 + 3645*n + 30. Let k(x) = -x**2 - 3645*x - 25. What is 6*k(f) + 5*t(f)? -f**2 - 3645*f Let v(n) = -68*n**3 - 7*n**2 + 7*n. Let u be (-198)/330*(-70)/(-6). Let r(a) = 45*a**3 + 5*a**2 - 5*a. Give u*r(w) - 5*v(w). 25*w**3 Let t(l) = -3*l - 6. Let d = 5 + -7. Suppose w + 3*w = 36. Let a(y) = -253*y - 37. Let f(q) = 293*q + 39. Let b(p) = 7*a(p) + 6*f(p). Give d*b(i) + w*t(i). -i - 4 Let j(s) = -19*s**3 + 522*s**2 - 3*s + 3. Let p(x) = -59*x**3 + 1566*x**2 - 10*x + 10. Give 10*j(h) - 3*p(h). -13*h**3 + 522*h**2 Let h(t) = -2*t**2 + 107*t - 14. Let k(j) = j**2 - 52*j + 7. What is 3*h(u) + 5*k(u)? -u**2 + 61*u - 7 Let q(c) = 2*c**3 - 3*c**2 - 3*c - 16. Let u(f) = -f**3 + f**2 + f. Suppose 0 = -261*h + 258*h + 6. Determine h*q(k) + 6*u(k). -2*k**3 - 32 Let c(i) = -i - 10. Let d(u) = -15*u**2 + 21*u + 79. Determine -8*c(z) - d(z). 15*z**2 - 13*z + 1 Let y(k) = -9*k + 2. Suppose 13*n - 6630 = 23*n. Let x = n - -668. Let t(q) = -5*q + 1. What is x*t(z) - 3*y(z)? 2*z - 1 Let o(p) = p**2 - 2*p + 3. Let k be 30/9 + -3 - (-4)/6. Let b be k/(-7)*4 - 2396/(-28). Let z = b + -90. Let l(i) = -i**2 + 2*i - 3. What is z*o(g) - 4*l(g)? -g**2 + 2*g - 3 Let d(m) = m**2 + m - 74. Let o be d(8). Let b(i) = i - 8. Let u(h) = -4*h + 25. What is o*u(g) - 7*b(g)? g + 6 Let x(j) = -j - 1. Let l(v) = 97*v + 1136 - 11*v**2 + 42*v**2 - 1043 - 4*v. Determine -l(c) - 93*x(c). -31*c**2 Let j(c) = -c**3 - 24*c**2 - 2*c. Let g = 7165 + -7161. Let b(q) = q**3 + 23*q**2 + 2*q. Give g*j(h) + 5*b(h). h**3 + 19*h**2 + 2*h Let o(t) = 10*t - 66. Let p(u) = -3*u + 2. What is o(f) - 4*p(f)? 22*f - 74 Let k(b) = b**2. Suppose 35 + 3 = 3*i - 5*a, -a - 14 = -i. Suppose -4*f - 15 = -j, -143*f + i = -147*f. Let v(q) = 2*q**2 - q + 5. What is j*k(t) + v(t)? t**2 - t + 5 Suppose -4*g - 47*a + 39 = -42*a, -3 = -a. Let h(d) = -1. Let v(m) = -31*m + 6. Determine g*h(b) + v(b). -31*b Let l(z) = -z**2 - 2*z + 3. Let d(f) be the first derivative of -4*f**3/3 - 5*f**2 + 14*f - 231. Calculate 3*d(o) - 14*l(o). 2*o**2 - 2*o Let c(v) = -v**3. Let f(g) = -2460*g**3. Calculate 6*c(u) - f(u). 2454*u**3 Let p(q) = 2*q**3 - 19*q**2 - 4*q - 4. Let x(s) be the second derivative of s**5/5 - 13*s**4/4 - 3*s**3/2 - 9*s**2/2 + 5*s - 156. Calculate 9*p(u) - 4*x(u). 2*u**3 - 15*u**2 Let l(d) = -5*d**3 - 5*d**2 - 1. Suppose v + 3321 = 3320. Let x(w) = -w**2. Calculate v*l(c) + 5*x(c). 5*c**3 + 1 Let j(m) = 7*m**3 - 6*m**2 - 6*m + 8. Suppose 17*f - 70 = -35 + 67. Let z(k) = 14*k**3 - 11*k**2 - 11*k + 15. Determine f*z(u) - 11*j(u). 7*u**3 + 2 Let q(o) = -10*o**2 + 2*o - 295. Let w(h) = -10*h**2 + 2*h - 246. Let c(d) = -5*q(d) + 6*w(d). Let t(i) = 2*i - 11*i**2 - i**2 - 1 + i**2. Give 4*c(m) - 3*t(m). -7*m**2 + 2*m - 1 Let l(u) = -13*u - 2. Let a(b) = -78*b - 13. Suppose -60 = 5*v - 5*o, 7*v - 8*v = -7*o + 48. Calculate v*a(i) + 39*l(i). -39*i Let o(x) = 17*x**2 - 4*x + 4. Let r(i) = 187 + 274*i**2 - 187*i + 392*i**2 + 229*i**2 - 90*i**2 - 6*i**2. Determine -187*o(m) + 4*r(m). 17*m**2 Let d(h) = 1. Suppose 9*f - 20*f = 0. Suppose 3*c + 2*c - 10 = f. Let r(n) = -7 - n**2 - n + 11 - c*n**2. Determine 6*d(y) - r(y). 3*y**2 + y + 2 Let s(l) be the second derivative of -l**3/2 - l**2 + 14*l. Let d(n) be the first derivative of 1/2*n**2 + n - 10. Calculate 7*d(w) + 2*s(w). w + 3 Let v(t) = 9*t + 3. Let m(h) = 30 + 28*h + 27*h + 35*h. Calculate -2*m(s) + 21*v(s). 9*s + 3 Let x(y) = 170*y + 44. Let q(p) = 71*p + 22. Give 7*q(j) - 3*x(j). -13*j + 22 Let t be (1*(27 + 4))/1 + -1. Let p(d) = t*d - 9*d + 4 - 14*d - 13*d - 12*d**2. Let l(z) = -13*z**2 - 7*z + 5. Give 6*l(n) - 7*p(n). 6*n**2 + 2 Let p(j) = j**3 + 127*j**2 + 490*j - 247. Let r be p(-123). Let g(n) = -n**3 - n - 1. Let q(f) = f**3 - 5*f - 6. Give r*q(m) + 5*g(m). -6*m**3 + 1 Let t(k) = -k**3 + k**2 - 2*k - 1. Let w(n) = -n**3 + 7*n**2 + n + 2. Let d(x) = -2*t(x) - w(x). Let u(v) = -v**3 + 2*v**2 - v. Determine 2*d(s) + 9*u(s). -3*s**3 - 3*s Suppose -432*x = -4*i - 431*x - 49, -5*i - 4*x = 56. Let b(a) = 52*a + 9. Let y(o)
{ "pile_set_name": "DM Mathematics" }
105*n**2. 105*n**2 + 2*n - 2 Collect the terms in 978*a - a**3 - 978*a. -a**3 Collect the terms in 24*j - 8*j + 6*j - 15. 22*j - 15 Collect the terms in -1604 + 10*o + 1604. 10*o Collect the terms in -12*k**2 - 13*k**2 + 30*k**2. 5*k**2 Collect the terms in 74*d**3 - 75*d**3 + 1 - 1. -d**3 Collect the terms in -272*c**2 - 258*c**2 - 69*c**2. -599*c**2 Collect the terms in 2 - 37*h + 87*h - 2. 50*h Collect the terms in 31*h + 6*h - 3*h. 34*h Collect the terms in -33 - 27 - 17 - 2*k + 77. -2*k Collect the terms in 537*d**2 + 538*d**2 - 1072*d**2. 3*d**2 Collect the terms in -166*w - 140*w + 308*w. 2*w Collect the terms in -2*d**2 - 2*d**2 + 26*d**2 + 8*d**2. 30*d**2 Collect the terms in 5*l**3 + 0*l**3 - 3*l**3 - 3*l**3. -l**3 Collect the terms in 0*x + 34*x**2 + 3*x - 3*x. 34*x**2 Collect the terms in 708*h - 2 + 2 - 815*h. -107*h Collect the terms in -637*x**2 - 2*x**3 + 637*x**2. -2*x**3 Collect the terms in -3270 + 3270 + 4*p. 4*p Collect the terms in 112*s**2 - 112*s**2 - s**3. -s**3 Collect the terms in 2*o + 2*o**2 - 30*o - 25*o. 2*o**2 - 53*o Collect the terms in -45 - p**2 - 50 + 140 - 45. -p**2 Collect the terms in -34 - 40 + 74 + 10*t**3. 10*t**3 Collect the terms in 464*a**2 + 5 - 5 + 1518*a**2. 1982*a**2 Collect the terms in -6*r + 5*r - 2*r. -3*r Collect the terms in -97*r**2 + 189*r**2 - 91*r**2. r**2 Collect the terms in 4 - 23*c + 18*c - 4. -5*c Collect the terms in -119 + 119 - a. -a Collect the terms in -11*g + 10*g - 18*g. -19*g Collect the terms in -6*w + 24*w - 23*w - 7*w. -12*w Collect the terms in 13*l**3 + 5*l**3 + 16*l**3 - 5*l**3. 29*l**3 Collect the terms in 75*o + 23*o - 22*o. 76*o Collect the terms in 204*i**2 - 2*i + 2*i - 199*i**2. 5*i**2 Collect the terms in -292 - 8*g + 146 + 146. -8*g Collect the terms in 2713*d - 2713*d - 2*d**2. -2*d**2 Collect the terms in -3 + 8 - 25*y - 5. -25*y Collect the terms in 89*b**3 + 10*b**3 + 81*b**3. 180*b**3 Collect the terms in 4*q - 5*q - q. -2*q Collect the terms in -2388 + 2388 - 6*y - y. -7*y Collect the terms in 123*p - 5*p**3 - 123*p. -5*p**3 Collect the terms in -22*q**2 + 14*q**2 + 13*q**2. 5*q**2 Collect the terms in -195 + 195 - k**2 - 124*k. -k**2 - 124*k Collect the terms in 3*m**3 + 2*m**3 + 3*m**3. 8*m**3 Collect the terms in 5 - 17 + 3*w - 12*w + 11. -9*w - 1 Collect the terms in a**2 - 11*a**2 - 3*a**2 - 19*a**2. -32*a**2 Collect the terms in 259*h**2 - 91*h**2 - 86*h**2 - 83*h**2. -h**2 Collect the terms in -14*j**2 + 41*j**2 + 19*j**2 + 2*j. 46*j**2 + 2*j Collect the terms in 1 - 3 - 1123*s**2 + 2. -1123*s**2 Collect the terms in 0 - 38*h + 6*h + 2 - 18*h. -50*h + 2 Collect the terms in -11*x**3 + x**3 + 4*x**2 - 4*x**2. -10*x**3 Collect the terms in 0*u + 3*u**2 - u**2 + 0*u**2 + 0*u. 2*u**2 Collect the terms in -58*x**3 + x**2 - 6 - 85*x**3 + 6. -143*x**3 + x**2 Collect the terms in 2880*i - 5768*i + 2881*i. -7*i Collect the terms in 14*m - 14*m + 16*m. 16*m Collect the terms in -3*z**2 - 8*z**2 + 5*z**2 - 7*z**2. -13*z**2 Collect the terms in -797*o**2 + 797*o**2 - o**3. -o**3 Collect the terms in 22*p**3 + 27*p**3 - 43*p**3. 6*p**3 Collect the terms in -811 + 811 - 4*i. -4*i Collect the terms in -13 + 8 - 20*w**2 + 5. -20*w**2 Collect the terms in -5*a**3 - 1 + 1. -5*a**3 Collect the terms in -20*h**3 + 56*h**3 - 27*h**3. 9*h**3 Collect the terms in 3*x**2 + x**2 - x**2 - 4*x**2. -x**2 Collect the terms in 26*p**2 - 20 - 17 + 37. 26*p**2 Collect the terms in -50*b**3 + 107*b**3 - 56*b**3 - 104*b**2. b**3 - 104*b**2 Collect the terms in -389887 - 4*j**3 + 389887. -4*j**3 Collect the terms in 10*h**3 - 4*h**3 - 7*h**3 - 2*h**3. -3*h**3 Collect the terms in -113561 - b**2 + 113561. -b**2 Collect the terms in 82*h**2 + 4*h + 4*h**2 - 4*h. 86*h**2 Collect the terms in 3*o + 13*o + 0*o. 16*o Collect the terms in 89*r**2 + 62*r**2 - 146*r**2. 5*r**2 Collect the terms in -11 + 9*d**2 + 11 + 3*d**2. 12*d**2 Collect the terms in -26*a**3 + 215*a**2 - 215*a**2. -26*a**3 Collect the terms in 6 - 6 + 867*i + 0 - 862*i. 5*i Collect the terms in 5*k**2 + 3 - 5*k**2 + 369*k**3. 369*k**3 + 3 Collect the terms in -5*m**2 + m**2 - 7*m**2. -11*m**2 Collect the terms in 2*d**2 + 0*d**2 + 2*d**2. 4*d**2 Collect the terms in 18*q + 12*q - 2*q - 45*q + 16*q. -q Collect the terms in 25*k + 24*k - 82*k + 29*k. -4*k Collect the terms in 2*c + 0*c - 9823*c**2 + 9819*c**2 - 2*c. -4*c**2 Collect the terms in -21*r - 2510 - 44*r + 2510. -65*r Collect the terms in 24*b**3 - 116*b**3 - 161*b**3. -253*b**3 Collect the terms in -310*c + 2*c**2 + 4*c**2 + 310*c. 6*c**2 Collect the terms in 4972 + s**2 - 4*s**2 - 4972. -3*s**2 Collect the terms in g**3 - 7*g**3 + 7*g**3 + 9*g**3. 10*g**3 Collect the terms in 119*k - 2 + 2. 119*k Collect the terms in 27*g**2 + 25*g**2 - 54*g**2. -2*g**2 Collect the terms in 5*b**2 - 3*b**2 + 0*b**2 - 9*b + 2*b. 2*b**2 - 7*b Collect the terms in -21*f**2 - 4*f**2 - 25*f**2 + 75*f**2 - 27*f**2. -2*f**2 Collect the terms in 4 + 2538*s**2 - 2 - 2. 2538*s**2 Collect the terms in 14*c**3 + 14*c**3 + 2*c**3 - 8*c**3. 22*c**3 Collect the terms in -6*w**3 + w**3 + 6*w**3. w**3 Collect the terms in -237*f**2 - 242*f**2 + 483*f**2. 4*f**2 Collect the terms in 21*p - 11*p - p - 8*p. p Collect the terms in 6*m**2 + 13*m**2 + 3*m**2. 22*m**2 Collect the terms in 0*h**3 - 7*h**3 + 12*h**3 - 3*h**3. 2*h**3 Collect the terms in -8 - 25*i - 10*i + 6 - 11*i. -46*i - 2 Collect the terms in -11*h - h + 11*h. -h Collect the terms in -31*g**3 + 33*g**3 + 2 + 9. 2*g**3 + 11 Collect the terms in 2*s - s**2 + 22*s**2 - 2*s. 21*s**2 Collect the terms in -12*w**2 + w**2 - 7*w**2 - w. -18*w**2 - w Collect the terms in -343*b**2 + 1 + 4*b**3 + 343*b**2. 4*b**3 + 1 Collect the terms in 4*g + 16970 - 16970. 4*g Collect the terms in -3374 + 3374 - 4*o. -4*o Collect the terms in 59*m**2 + 48*m**2 - 24*m**2 + 5*m**2. 88*m**2 Collect the terms in 1 - 13*t**3 - 3*t**3 + t**3 - 8*t**3. -23*t**3 + 1 Collect the terms in 3*r**2 + 6*r - 3*r - 3*r. 3*r**2 Collect the terms in 136*d**3 - 34*d**3 - 63 + 63. 102*d**3 Collect the terms in -662 + 662 + 5*w**3. 5*w**3 Collect the terms in 0*s + 0*s - 3*s + s. -2*s Collect the terms in -2*u + 36749*u**3 + 0*u + 2*u - 36748*u**3. u**3 Collect the terms in -5*g**2 + 2603526*g - 2603526*g. -5*g**2 Collect the terms in -2 + 235*l**2 + 2 - 920*l**2. -685*l**2 Collect the terms in -13*w + w**2 - 82*w + 95*w. w**2 Collect the terms in 695702 + 695705 - 5*d**2 + 6*d**2 - 1391407. d**2 Collect the terms in -26 + 14*g + 26. 14*g Collect the terms in 22*u**3 + u - 5*u + 4*u. 22*u**3 Collect the terms in -172*x**2 + 172*x**2 - 3*x**3. -3*x**3 Collect the terms in -1067*y - 2 - 5*y**2 + 1067*y. -5*y**2 - 2 Collect the terms in 526*x + 414*x + 1442*x. 2382*x Collect the terms in -3 - 1 + 22*s + 1. 22*s - 3 Collect the terms in 13 - 3*x**2 + 9 + 0*x**2. -3*x**2 + 22 Collect the terms in 3*z - 8476 + 8476. 3*z Collect the terms in c**2 + 8*c**2 + c**2 - 11*c**2. -c**2 Collect the terms in -153 - 14*i**2 + 153. -14*i**2 Collect the terms in -6*z**3 + 2*z**3 + z**3 - 7*z**3. -10*z**3 Collect the terms in 290 - 290 - 14*u. -14*u Collect the terms in -50*b + 0 - 35*b + 82*b + 0. -3*b Collect the terms in 183 - 183 + 76*d. 76*d Collect the terms in -516*f**2 + 516*f**2 - 4*f**3. -4*f**3 Collect the terms in 3*k - 3*k - k**2 - 7*k**3. -7*k**3 - k**2 Collect the terms in -6*s**2 + 5*s**2 - 4*s**2 + s**2. -4*s**2 Collect the terms in -127*k**2 + 8*k**3 + 127*k**2. 8*k**3 Collect the terms in 5*j**2 + 118*j**3 - 5*j**2 - 240*j**3 + 118*j**3. -4*j**3 Collect the terms in 12 + 2008*a**2 - 2009*a**2 + 16 - 28. -a**2 Collect the terms in 2607*d**2 + 966*d**2 + 747*d**2. 4320*d**2 Collect the terms in -481*n**3 - 37*n**3 - 402*n**3. -920*n**3 Collect the terms in -2 + 3 - 1 - 10*q. -10*q Collect the terms in 4*k**3 - 3*k**3 + 0*k**3 + k**3. 2*k**3 Collect the terms in 2*i - 12*i + 26*i. 16*i Collect the terms in -21*c + 7*c + 3*c. -11*c Collect the terms in b**2 - 30*b**3 + 10*b**3 - b**2 + 18*b**3. -2*b**3 Collect the terms in -404 - p + 404. -p Collect the terms in -4*q + 5*q - 2*q - q. -2*q Collect the terms in -4*o**2 - 37*o**3 - 11*o**3 + 4*o**2 + 32*o**3. -16*o**3 Collect the terms in -31*a**3 - 14*a**3 + 44*a**3. -a**3 Collect the terms in -5*q - 3*q + 0*q + 4*q. -4*q Colle
{ "pile_set_name": "DM Mathematics" }
icked without replacement from {r: 11, q: 3}. What is prob of sequence qqq? 1/364 Two letters picked without replacement from {e: 2, j: 1, w: 1, m: 1}. Give prob of sequence wj. 1/20 Four letters picked without replacement from zkjzmjcy. What is prob of sequence zjmz? 1/420 Two letters picked without replacement from {p: 2, e: 2}. Give prob of sequence pe. 1/3 Two letters picked without replacement from iiiipiiiiiziii. Give prob of sequence ip. 6/91 Three letters picked without replacement from ggiiiiiqg. Give prob of sequence qgg. 1/84 Two letters picked without replacement from vhvohvvhvovhvovov. Give prob of sequence oo. 3/68 Two letters picked without replacement from {f: 2, j: 1, z: 2, r: 1, u: 1}. Give prob of sequence jz. 1/21 Calculate prob of sequence vv when two letters picked without replacement from eetveve. 1/21 Calculate prob of sequence qaaa when four letters picked without replacement from qaqaqaaaqa. 2/21 Four letters picked without replacement from {z: 1, s: 5, g: 4, u: 2, r: 4, w: 4}. What is prob of sequence zrru? 1/4845 What is prob of sequence ffff when four letters picked without replacement from ffoffffofff? 21/55 What is prob of sequence ii when two letters picked without replacement from iiatatittiitiittiiii? 11/38 Three letters picked without replacement from ooooo. What is prob of sequence ooo? 1 Two letters picked without replacement from alloolqggl. What is prob of sequence gq? 1/45 Calculate prob of sequence iicd when four letters picked without replacement from czzcziczcccczzcccdiz. 1/5814 Three letters picked without replacement from izihkqqphqkqizpqqh. What is prob of sequence zhz? 1/816 Three letters picked without replacement from {j: 7, z: 4}. What is prob of sequence zjj? 28/165 Three letters picked without replacement from {e: 1, x: 2}. Give prob of sequence xxe. 1/3 What is prob of sequence ffk when three letters picked without replacement from {f: 5, k: 9}? 15/182 Three letters picked without replacement from uuuuuuuucccuuu. Give prob of sequence uuc. 55/364 What is prob of sequence ppy when three letters picked without replacement from ppyyypypyypypp? 7/52 Two letters picked without replacement from {p: 6, a: 1, m: 2, n: 3}. Give prob of sequence pp. 5/22 Three letters picked without replacement from iiiiniiinininini. What is prob of sequence nni? 11/168 What is prob of sequence fz when two letters picked without replacement from zhhhhfhhhhhzhfhzhf? 1/34 Three letters picked without replacement from {f: 1, l: 2, m: 6, x: 2, o: 1}. What is prob of sequence ofm? 1/220 What is prob of sequence qjj when three letters picked without replacement from {v: 1, b: 2, j: 2, s: 8, q: 2}? 2/1365 Calculate prob of sequence mwr when three letters picked without replacement from wwkkrmrrmkkwmwrmmmkr. 1/57 Four letters picked without replacement from {q: 13, u: 3}. What is prob of sequence uqqq? 33/280 Calculate prob of sequence wxx when three letters picked without replacement from {w: 2, x: 9}. 8/55 Calculate prob of sequence dy when two letters picked without replacement from {r: 1, d: 2, a: 4, y: 8}. 8/105 Two letters picked without replacement from {d: 8, q: 2}. Give prob of sequence qd. 8/45 Calculate prob of sequence bbbv when four letters picked without replacement from bbbbbbvvbbvbbb. 45/364 Two letters picked without replacement from mwrmfmmyfmf. Give prob of sequence rm. 1/22 Four letters picked without replacement from cssasscscssssdacs. What is prob of sequence sdca? 1/714 Calculate prob of sequence ic when two letters picked without replacement from ciic. 1/3 Calculate prob of sequence iid when three letters picked without replacement from {d: 2, p: 13, i: 5}. 1/171 Two letters picked without replacement from pwwhkzwhowzwwzowoww. What is prob of sequence oo? 1/57 Calculate prob of sequence lt when two letters picked without replacement from {t: 8, l: 2}. 8/45 Two letters picked without replacement from {u: 1, w: 8, i: 2, k: 2}. What is prob of sequence ku? 1/78 Four letters picked without replacement from {s: 1, r: 1, a: 8, t: 3, z: 4}. Give prob of sequence zzzs. 1/2380 Three letters picked without replacement from dqwqdddpxxqdwcq. Give prob of sequence dpq. 2/273 Calculate prob of sequence muuu when four letters picked without replacement from jjjujuuujmjuju. 5/1001 Four letters picked without replacement from {n: 4, q: 4, k: 2, w: 4}. Give prob of sequence qnkk. 4/3003 What is prob of sequence ssc when three letters picked without replacement from {v: 3, s: 3, c: 5, h: 2}? 5/286 Three letters picked without replacement from {t: 2, x: 1, z: 2, m: 1, f: 4}. Give prob of sequence xft. 1/90 Three letters picked without replacement from {d: 1, q: 2, a: 1}. Give prob of sequence dqa. 1/12 Calculate prob of sequence oii when three letters picked without replacement from iioioiioooiooooioiii. 5/38 What is prob of sequence hi when two letters picked without replacement from {h: 4, j: 2, a: 4, s: 1, i: 6}? 3/34 Four letters picked without replacement from {o: 7, y: 7, p: 1, q: 2}. What is prob of sequence yyoq? 7/680 Calculate prob of sequence nn when two letters picked without replacement from {n: 4, p: 7}. 6/55 Calculate prob of sequence ii when two letters picked without replacement from tuuquuqduudqiqq. 0 Two letters picked without replacement from {f: 2, m: 1, x: 2, r: 1}. Give prob of sequence fx. 2/15 Calculate prob of sequence yyy when three letters picked without replacement from lyylyllyyyll. 1/11 Two letters picked without replacement from uxuhdhdxudduduh. What is prob of sequence ud? 5/42 Two letters picked without replacement from pjjssjspjspjpjsppjp. What is prob of sequence pj? 49/342 Four letters picked without replacement from xwxxxxxxyywxwxxw. What is prob of sequence wwyy? 1/1820 Three letters picked without replacement from {g: 2, w: 2, d: 1, b: 8, h: 1, v: 1}. Give prob of sequence vbb. 4/195 Three letters picked without replacement from {z: 3, y: 10, p: 2}. What is prob of sequence yyy? 24/91 Calculate prob of sequence im when two letters picked without replacement from {m: 2, c: 3, i: 1, x: 1, a: 3, b: 5}. 1/105 Four letters picked without replacement from {t: 1, y: 2, z: 4, h: 8, c: 1}. What is prob of sequence hyzt? 2/1365 What is prob of sequence pn when two letters picked without replacement from {s: 2, p: 2, n: 8, q: 1, x: 1}? 8/91 Three letters picked without replacement from rerr. What is prob of sequence rre? 1/4 What is prob of sequence oqqo when four letters picked without replacement from {o: 9, q: 9}? 6/85 What is prob of sequence boqo when four letters picked without replacement from {o: 2, j: 2, b: 2, q: 2}? 1/210 Three letters picked without replacement from {s: 2, y: 6, b: 3, f: 3, e: 2, k: 2}. What is prob of sequence ees? 1/1224 Calculate prob of sequence gp when two letters picked without replacement from ggpwggpggggwfgggggp. 13/114 Three letters picked without replacement from cccuuczccccczzc. Give prob of sequence cuz. 2/91 Three letters picked without replacement from {z: 5, g: 3, q: 2, a: 2}. Give prob of sequence qzz. 1/33 Three letters picked without replacement from jtngng. Give prob of sequence gjt. 1/60 What is prob of sequence oa when two letters picked without replacement from {s: 11, a: 6, o: 1}? 1/51 What is prob of sequence zzi when three letters picked without replacement from iziiizi? 1/21 What is prob of sequence iai when three letters picked without replacement from imrmmiiiiamimmii? 1/60 Three letters picked without replacement from frttf. What is prob of sequence tfr? 1/15 Three letters picked without replacement from ngnnnnnnnng. What is prob of sequence ggn? 1/55 Calculate prob of sequence qzqj when four letters picked without replacement from zzqqgjqbgjgg. 1/495 Three letters picked without replacement from doldgdlddldldlll. What is prob of sequence odl? 7/480 Three letters picked without replacement from {o: 2, m: 5}. What is prob of sequence mom? 4/21 Four letters picked without replacement from {y: 17, p: 3}. What is prob of sequence pyyy? 2/19 What is prob of sequence bo when two letters picked without replacement from {o: 1, c: 8, b: 1, x: 1, u: 4}? 1/210 Four letters picked without replacement from {k: 3, i: 15}. What is prob of sequence
{ "pile_set_name": "DM Mathematics" }
rm b*r + n and give b. -3144 Rearrange -591*z - 4 - 2 + 596*z to y + s*z and give s. 5 Express -2*y**2 - 27 - 17 - 4 - 11 + 8 as f*y**2 + x + s*y and give x. -51 Express (-945 - v + 577 + 570)*(2 - 5 - 5)*(2*v**2 + 0*v**2 - v**2) in the form b + i*v**2 + q*v**3 + o*v and give i. -1616 Rearrange (2 - 6 + 1)*(-1412*y + 3717024 - 3717024) to j + x*y and give x. 4236 Rearrange 8 + l**3 - l**2 - 15 + 8 - 2*l**3 + 145*l to f + s*l**3 + i*l**2 + k*l and give s. -1 Rearrange -20*c**4 + 36*c + 3 + c**3 - c**2 + 0 - 65*c + 36*c - 2 to p + g*c**4 + a*c**3 + y*c**2 + f*c and give g. -20 Rearrange -r + 2 - 2 + (0*r + 2*r - r)*(0 + 2 - 4) + 1484*r + 151 - 58 - 57 - 36 to the form x + j*r and give j. 1481 Rearrange (-15 + 8 - 12)*(4 - 4 + 1)*(0*v - 2*v + 0*v)*(-1 + 6 - 1) to p + k*v and give p. 0 Express 3*i - 377*i**3 + 4 - i**4 + 188*i**3 + 189*i**3 in the form d*i + c*i**4 + h + g*i**2 + f*i**3 and give d. 3 Rearrange -197*p - 153*p - 220*p - p - 154*p to a + w*p and give w. -725 Express (-2 + t - 4*t + 2*t)*(-1 + 3 - 4)*(24 + 22 - 57) as y + i*t and give y. -44 Rearrange f**2 + 3 - 3*f**2 + 2*f**3 - 30*f + 31*f to k*f + s + d*f**3 + v*f**2 and give s. 3 Rearrange -104*b + 16*b - 8*b - 4*b to f*b + h and give f. -100 Express (7 - 4 - 4)*(3*k**4 - 4*k**4 + 2*k**4 + (17*k - 28*k - 9*k)*(0*k**3 + k**3 + 3*k**3)) in the form i + c*k + o*k**2 + a*k**4 + j*k**3 and give a. 79 Rearrange 50*c**2 + 19933 - 23*c**3 - 19933 to x*c**3 + d*c**2 + o + j*c and give o. 0 Express 4*i - 2717 + 2726 + i + i as u*i + b and give u. 6 Rearrange -22 - i - 110*i**2 + 43 - 21 - 2*i to l*i + t*i**2 + y and give l. -3 Rearrange 2*j - 66*j - 65*j - 11*j - 1 + 22*j to the form y*j + q and give y. -118 Express (1064 - 1064 + 185*u**2)*(0*u + u - 2*u)*(6 + 0 - 2) in the form p + m*u + i*u**2 + v*u**3 and give v. -740 Express 160 - 22*f - 160 + (-1 + 6 + 3 + (3 - 2 - 2)*(-3 + 1 + 0) + 0 - 1 + 0)*(5*f - 3*f - 3*f) in the form y*f + i and give y. -31 Rearrange -270*l**3 + 113*l**3 + 123*l**3 + 100*l**3 - 6 to t*l**2 + p*l + u + j*l**3 and give j. 66 Express (2 - 2 + x)*(-29 - 184 + 33) as f + t*x and give t. -180 Rearrange -5*j**2 + j**3 + 35*j - 33*j - 2 + 3*j**4 + 12 - j**4 to m*j**3 + t*j**2 + v + c*j + d*j**4 and give m. 1 Express 4 - 2*g - 5 + 10 + 38 in the form x*g + u and give u. 47 Rearrange (-5 + 2 + 2)*(24 + 2 - 13)*(-1300*m - 161*m**2 + 1300*m) to d*m**2 + p + w*m and give d. 2093 Express (4*v + 382 - 382)*(4 - 3 + 0)*(3 - 3 - 2)*(2 - 5 + 0) + v - 1 + 1 - 6*v + 4*v + 0*v + (0 + 3 - 5)*(3*v + v - 2*v) + v + 1 - 1 as z*v + w and give z. 20 Express 4*p**2 + 2*p + 1 + 6*p - 5*p - 7*p + 8*p in the form w*p + z*p**2 + a and give w. 4 Rearrange 9*m**2 + 107 - 59 - m**3 - 59 to c + r*m + x*m**3 + b*m**2 and give b. 9 Rearrange 510*q**2 + 10*q**3 + 510*q**2 - 1023*q**2 to g*q**3 + l*q**2 + n*q + r and give l. -3 Express -39*z**2 + 41*z**2 - 53 - 7*z**2 in the form j*z + t*z**2 + s and give s. -53 Rearrange -113 - 109 + 337 + 757*s - 115 to v + l*s and give l. 757 Rearrange -6*s**3 + 3*s**2 - 54*s**4 - 53*s**4 + 105*s**4 - 2*s**2 + 2 - 7*s to the form a*s**4 + h*s + v*s**2 + u*s**3 + f and give u. -6 Express (-2*h - 11 + 0*h + 29)*(9*h + 12*h - 27*h)*(4*h**2 + h**2 - 3*h**2) in the form r*h**3 + x*h**4 + g*h + p + b*h**2 and give x. 24 Express 3*o**4 - 7 + 3996*o**3 + 6*o**2 - 3996*o**3 as n*o + a*o**2 + k*o**3 + j*o**4 + d and give d. -7 Rearrange -43*h**4 + 3*h**3 + 10*h**4 + h + 2*h**2 - 17*h**4 to o*h**4 + b*h**2 + m*h + j + x*h**3 and give x. 3 Rearrange (2 + 1 - 5)*(2*r**2 - 2*r**2 - 2*r**2) + (-r + 0*r + 4*r)*(-35*r - 24*r - 551 + 553) + r**2 + 0*r**2 + r**2 to the form q*r**2 + d + b*r and give b. 6 Express (0*s + 0*s + 2*s)*(-1 + 0 + 0)*(3 + s - 3)*(-12 - 2 - 12) in the form f*s + b + v*s**2 and give v. 52 Rearrange -82*s - s**2 + 15*s - s**2 to the form a + t*s**2 + i*s and give t. -2 Express -67 + 2 + m**2 + 76 + (-3 + 7 - 2)*(-2*m**2 + 4*m**2 - 3*m**2) as z*m**2 + t + p*m and give z. -1 Express 222*n**2 - 447*n**2 + 2 + n - 28*n**3 + 225*n**2 as d*n**2 + c + g*n + x*n**3 and give c. 2 Rearrange (-10*q + q - 14*q**3 + 10*q)*(-1 + 2*q + 9*q - 6*q) to the form n + b*q + g*q**4 + d*q**3 + k*q**2 and give g. -70 Express (-23*r**2 + 58*r**2 - 8*r**2)*(0*r - r + 3*r) + (1 - 1 + 2)*(6*r + 3*r**3 - 12*r + r) as b + h*r**3 + n*r + c*r**2 and give n. -10 Rearrange ((0 + 0 - 1)*(4*v - v - v) - 1 - v + 1)*(25*v - 29*v + 37*v) to n + f*v**2 + s*v and give n. 0 Rearrange (4 + 3 - 5)*((-2 - 1 + 2)*(-2 + 1 + 7) + 4 - 4 + 2 + 1 - 4 + 0)*(6 - i - 6) to the form w + f*i and give f. 14 Express 6*z - 4 - 3*z + 3 + (46 + 17 - 7)*(0*z + 2*z + z) in the form x*z + u and give u. -1 Rearrange -722*q**4 + 3374*q**3 - 1687*q**3 - 1687*q**3 - 2 - 2*q**2 to a + j*q**4 + v*q + y*q**2 + k*q**3 and give y. -2 Express -1 - 2 - 1 + 9 + 17*w**2 in the form p + t*w + k*w**2 and give k. 17 Express (-44 - 27*p - 26 + 52*p - 28*p)*(-2*p - 2*p + 2*p) in the form c*p + x*p**2 + y and give c. 140 Express -3 + 32*v - v + 5 - v in the form j + a*v and give j. 2 Express (4 - 6 + 0)*(6*y**3 + 2*y**3 - y**3) + 4*y**2 - 47*y**3 - 4*y**2 as d + s*y**3 + c*y**2 + t*y and give s. -61 Rearrange -2 + 7*r**2 - r - 14*r**2 + 0*r + 9*r**2 to a*r + i*r**2 + q and give a. -1 Rearrange 45*u**3 - 58*u**3 - u**4 + 14*u**3 + 1 - 2*u**4 - 2*u**2 - 26*u to the form b + q*u**2 + t*u**4 + v*u + d*u**3 and give d. 1 Express 153*b**2 + 77*b**2 + 101*b**2 as y + d*b**2 + p*b and give d. 331 Rearrange (-4*n - 3*n + 24*n)*(-2*n - 2*n + 7*n)*(-3 + 1 - 1) to the form f*n + v + m*n**2 and give m. -153 Rearrange 1257*a + 93*a**3 + 1261*a - 2517*a to the form l*a + n*a**2 + x*a**3 + g and give x. 93 Express (1 - i - 1)*(-i**2 + 0 + 0) - 3 + 3 - 4*i**3 + 5 - 5 - 2*i**3 as a + o*i**2 + p*i + c*i**3 and give c. -5 Express 87 + 331*n**2 - 288*n**2 - 88 + 541*n**2 in the form u + t*n + v*n**2 and give t. 0 Express (35 - 2 + 8)*(-2*w + 2*w + 2*w)*(1 - 5 + 5) in the form t*w + a and give t. 82 Rearrange (12*y**2 - 37*y**2 + 66*y**2)*(1 + 2*y - 1)*(3 + 1 - 1) to the form s*y**2 + k*y + o + i*y**3 and give i. 246 Express 11 - 4 + 15*l**2 + 23*l**2 in the form h*l**2 + b + m*l and give b. 7 Express (0*c + 3*c - c)*((1 - 4 + 4)*(6 - 1 - 2) + 6 - 6 - 16 + 1 - 3 + 3)*(7 - 3 - 2)*(3 + 1 - 2) as x*c + l and give l. 0 Rearrange 0*o**3 - 1 + 121*o - 119*o - 2 - o**3 - 11*o**4 to the form i*o**2 + j + x*o**4 + s*o + r*o**3 and give s. 2 Rearrange -c - 2*c + c - 60*c - 2 - 23*c + 29*c + 0 + 0 + 2*c + (-c + 2*c + c)*(-2 + 4 + 0) + (2*c - 4*c + 0*c)*(-2 + 3 + 1) to the form t*c + v and give v. -2 Rearrange (-280*z**2 - 96*z**2 - 981*z**2 - 577*z**2)*(2*z - 4 + 4) to the form b*z**3 + s*z**2 + j*z + m and give b. -3868 Express 128*j + 2 + 70*j**2 + 66*j**2 - 141*j**2 as w*j**2 + g + m*j and give m. 128 Express a**2 - 2*a**3 - 439*a + 58 + 439*a as k*a**3 + s*a + c + t*a**2 and give c. 58 Express 70*t - 281*t - 334*t + 117*t in the form z*t + i and give z. -428 Rearrange -7 + 220*v + 22 + 2098*v - 15 to u*v + a and give u. 2318 Express (64 + 28 - 16)*(-3*y + 3*y - y - 7 + 7 - 7*y + (-y + 3*y + 0*y)*(1 - 4 + 1) + 1 - 1 + 2*y) as a*y + u and give a. -760 Express (-g**2 + 2 - 2)*(2 - 2 + 2*g) - 2*g**3 - 2 + 2 - 255 + 2*g**3 + 256 + 18*g**2 + 0*g**3 as p*g + o*g**2 + r*g**3 + u and give o. 18 Rearrange (5*t**2 + t**2 + 3*t**2)*(5 - 3 - 1)*(0 - 7 + 6) to p*t + x + n*t**2 and give n. -9 Express -22*c + 8 + 1 - 11 in the form r + l*c and give l. -22 Rearrange (5 + 3*s - 5 + (-2 - 3 - 5)*(s + 0*s + s) - 2*s + 3*s + s)*(-12*s**2 + 13*s**2 - s**3 - 4*s**3) to j*s**3 + f*s**4 + y*s + a + o*s**2 and give f. 75 Rearrange ((-1 - 2 + 5)*(-1 - 2 + 2) + (0 + 0 - 1)*(1 + 1 - 3))*(-4 - 3*n + 4)*(85 - 64 - 71) to a + s*n and give s. -150 Rearrange ((-2 - 1 + 5)*(-2 + 3*d + 2) + 2 - 2 - 2*d + 33*d - d + d)*(0 - 3 + 4)*(155 - 7*d - 155) to b + y*d**2 + k*d and give y. -259 Express 7 - 9 - 73*i + 271*i as z + f*i and give f. 198 Rearrange 2 + l**2 + l**2 - 2*l**2 - l**2 - 193*l - l**2 to the form s*l**2 + c*l + v and give c. -193 Rearrange 957*r - 957*r + 35*r**2 + (3 - 6 + r + 2)*(r + 4 - 4) to the form c + j*r + h*r**2 and give j. -1 Express 146*c + 2*c**2 + 257*c + 940*c + 262*c - 127*c in the form n + o*c + j*c**2 and give j. 2 Rearrange (0 + 3 - 2)*(4*r + 0*r + r) + (-r - 2*r + 2*r)*(-3
{ "pile_set_name": "DM Mathematics" }
i - 35590, 0 = 5*i + 2*c + 3*c + k. Round i to the nearest 10000. -20000 Suppose 3*k = k + 6. Let w be -390 + 1*(k - 3). What is w rounded to the nearest one hundred? -400 Suppose 3*h = 7*h - 112. Suppose 8 = 5*u + h. Let l be (u/(-3))/((-18)/459). Round l to the nearest ten. -30 Let h = -900 + 900.0003103. Round h to 4 dps. 0.0003 Let j = 2366245.563362 - 2366248. Let h = 0.036578 + j. Let a = h - -2.4. Round a to four dps. -0.0001 Let o = -117 + 49. Let s = 3002.58 - 2934. Let n = o + s. What is n rounded to 1 decimal place? 0.6 Let l(p) = -p**2 - 9*p - 2. Let y be l(-8). Let x(c) = 1969*c - 14. Let i be x(y). Round i to the nearest one thousand. 12000 Let q = -38.028 + 38. Let r = q + 0.0279998. Round r to six dps. 0 Suppose 5*u - 51 = -6. Suppose -j + u = 2*j. Suppose -4*n + 2*w + 250010 = -3*n, -3*w = -j*n + 750015. What is n rounded to the nearest one hundred thousand? 300000 Suppose 2*d - 37*m = -40*m + 16611, 5*d + 2*m - 41511 = 0. Round d to the nearest 100. 8300 Suppose f - 59 = -5*x, 3*f = 2*x - f - 28. Suppose 5*b + 67 = x. Let v(y) = -11454*y + 6. Let p be v(b). What is p rounded to the nearest 10000? 130000 Let l be (42/4)/(8/346160). Let r = l - 175335. Round r to the nearest 10000. 280000 Let w = 27.7 + -17.9. What is w rounded to the nearest integer? 10 Let z be 2/3 + (-1)/(-3). Let n(c) = 174*c - 2. Let v(l) = -349*l + 3. Let t(u) = 5*n(u) + 3*v(u). Let q be t(z). Round q to the nearest ten. -180 Let x = -110 - -43. Let u = x - -67.000039. What is u rounded to four dps? 0 Let y = 653 + -653.000003195. Round y to 7 decimal places. -0.0000032 Let n = -0.15 + -11.85. Let z = 3.3 + 8.708. Let q = z + n. Round q to 2 dps. 0.01 Let i = 53.0094301 - 3.0094266. Let z = -50 + i. What is z rounded to six decimal places? 0.000004 Let k = -15 - -15.6. Let j = -0.56 - k. Let g = j + 1.306. What is g rounded to two decimal places? 0.15 Let v = 233385918 - 233429002.9866. Let b = v + 43162. Let c = 77 - b. What is c rounded to three dps? -0.013 Let x(b) = 9*b + 3. Let p be x(8). Suppose p = 13*k - 8*k. What is k rounded to 0 dps? 15 Let l = 271 + 479. Let n = l - 642.7. Let k = n + -102. Round k to the nearest integer. 5 Let o = 7023081.65000165 + -7023082. Let s = 0.35 + o. What is s rounded to 7 dps? 0.0000017 Let h(c) = 1146*c - 14. Let r be h(9). Suppose -u - 41200 = 4*y, y = -0*y - 4*u - r. Round y to the nearest one thousand. -10000 Let j = -0.14 - -0.13941. Let v = -0.4 - -0.398. Let x = j - v. Round x to 4 decimal places. 0.0014 Let v = -350 - -350.0365. Round v to two dps. 0.04 Let d = 738.1 + -664. Let y = d - 68. What is y rounded to zero decimal places? 6 Let j(g) be the second derivative of 54444*g**3 + g**2 - 5*g. Let k be j(3). Suppose -2*m + 3*w = 1959991, -m + w = -w + k. Round m to the nearest 100000. -1000000 Suppose -5*w - 33 = -2*j, -6*w + 1 = 4*j - 3*w. Suppose 0*f + j*f = 0. Suppose -4*u + 7*u - 267000 = f. What is u rounded to the nearest ten thousand? 90000 Let j = 0.0129 - 0.012814. Round j to five decimal places. 0.00009 Let b = -109.748 + -0.252. Let x = b + 109.99999947. Round x to 7 dps. -0.0000005 Let f = 14635151 - 2515151. Suppose 9*x = 13*x + f. Round x to the nearest one hundred thousand. -3000000 Let p = 1047659871.999401 - 1047660654. Let v = 782 + p. What is v rounded to four decimal places? -0.0006 Let p = 0.7 - 0.62. Let z = 1.92 + p. Let w = 1.9999965 - z. Round w to six dps. -0.000004 Let p = 565823 - 566609.413. Let c = -786 - p. What is c rounded to 2 dps? 0.41 Suppose 4*u + 149 = -3283. Let m = u + 1558. What is m rounded to the nearest one thousand? 1000 Let a = -1.1088 + 0.0992. Let j = 0 + -1. Let x = a - j. What is x rounded to three dps? -0.01 Let j = 7525 + -7860.3. Let i = j + 294. Let r = -43 - i. What is r rounded to zero decimal places? -2 Let b = -0.35 - -0.21. Let q = 1209613 + -1209613.1399939. Let w = q - b. Round w to six decimal places. 0.000006 Let b = 17802 + -17655.144. Let i = b + -144. Let s = 2.9 - i. What is s rounded to two dps? 0.04 Let c = 2300 + -2299.984632. Round c to 4 dps. 0.0154 Let p = 159114631 + -159114626.99999876. Let m = 4 - p. What is m rounded to seven dps? -0.0000012 Let g = -1041 + 1040.997466. What is g rounded to three dps? -0.003 Let m = 196.9 + -82. Round m to the nearest 10. 110 Suppose -2*k - 2 = 10. Let d be 42/(-12)*k/3. Suppose 1249997 = -5*u + y, -2*u + d*y - 499985 = 2*y. What is u rounded to the nearest 100000? -300000 Let t = -0.68 + 0.6787. Round t to two dps. 0 Let j = -1.3401 + 0.0951. What is j rounded to two decimal places? -1.25 Let u(g) = g**3 + 2*g**2 - 7*g - 6. Let z be u(-4). Let t be (-310)/(4 - (-41)/z). What is t rounded to the nearest 1000? 3000 Let h = 395596316 + -395596228.0000162. Let m = h + -88. What is m rounded to six decimal places? -0.000016 Let u = 912 - 911.066. Round u to one decimal place. 0.9 Let a(m) = -6136*m - 20. Let v be a(5). Round v to the nearest one hundred thousand. 0 Let w = 31 + -17. Let t = -1752.952 - -1739. Let v = w + t. What is v rounded to 2 decimal places? 0.05 Let p(r) = -68925*r - 150. Let c be p(2). What is c rounded to the nearest ten thousand? -140000 Let a = 37 - 37. Let s(t) = t**3 + t**2 + 2*t + 8100000. Let k be s(a). Round k to the nearest one million. 8000000 Let v = 1673.96 + -1667. What is v rounded to the nearest ten? 10 Let v = -22 - -143. Let l = 4520906088.00000053 + -4520905967. Let g = l - v. What is g rounded to 7 dps? 0.0000005 Let v = 0.10822 + -118.56822. Let t = v + 114. Let c = t - 0.04. What is c rounded to 0 decimal places? -5 Let o = -8.274 - 17.3. Let n = 0.174 + o. Round n to the nearest integer. -25 Let h = 10.05 + -10. Let t = h - 0.05. Let a = t + 0.0001. Round a to 3 dps. 0 Let r = 6436123 + -6435775.0291. Let g = r - 348. What is g rounded to 3 decimal places? -0.029 Let u = 10.4 - 20.8. Let j = 0.803 + 0.197. Let s = j + u. Round s to the nearest integer. -9 Suppose -21*g + 83580000 = 7*g. What is g rounded to the nearest one hundred thousand? 3000000 Let r = -0.5725 + 0.255. What is r rounded to 2 dps? -0.32 Let m = -0.51 - 442.49. Let g = -469.3 - m. Let i = g - -0.4. What is i rounded to 0 decimal places? -26 Suppose 2*i - 6692 = -4*t + 6*i, -t - 2*i + 1685 = 0. Suppose 9743 = 2*h + t. Suppose 0 = -b - x + 1235 - h, 2*x - 8404 = 3*b. Round b to the nearest 1000. -3000 Let s = -3221 + 3220.45946. Let l = -78 - -78.54. Let o = l + s. What is o rounded to four dps? -0.0005 Let z = 2.95 - -0.45. Let o = 3.3999916 - z. What is o rounded to six dps? -0.000008 Let i = 697.782 + -697. Round i to 2 decimal places. 0.78 Let h = 158.146 - 158. Let b = 0.14671 - h. What is b rounded to three dps? 0.001 Let i = -61 + 60.802. What is i rounded to one decimal place? -0.2 Let c = 0.0654 - 98.7654. What is c rounded to the nearest 10? -100 Let f = 1497 - 233. Let h = -1263.9163 + f. What is h rounded to 2 dps? 0.08 Let u = -17.7 - 7.3. Let t = -443539.9977 + 443515. Let n = t - u. What is n rounded to three dps? 0.002 Let b = -1 + 1.01. Let x = 0.006 - 0.396. Let w = b - x. What is w rounded to the nearest integer? 0 Let t = 1.3 - 2. Let p = -91.4 + 95. Let b = t - p. Round b to the nearest integer. -4 Let o = 22 - 12. Let s = o + -9.7. Let f = s - 0.299966. Round f to 5 decimal places. 0.00003 Let w = 32.0123303 - -1.9876417. Let g = 34 - w. What is g rounded to 5 dps? 0.00003 Let n = 18.0436 - -0.1064. What is n rounded to one decimal place? 18.2 Let f = -0.88 - 0.64. Let x = f + 0.32. Let t = x + 1.20000055. Round t to 7 decimal places. 0.0000006 Suppose -15*s = -20*s - 545500000. Round s to the nearest one million. -109000000 Suppose -4*x = -12, 5 = 4*y + 5*x + 2. Let a be (y - -23)/1*-8. Round a to the nearest one hundred. -200 Let h be 3125*(-3 - (-2960 + -3)). Round h to the nearest 1000000. 9000000 Suppose -5 = -g, 4*x + 3*g + 83138 = -4847. Round x to the nearest ten thousand. -20000 Suppose -5*u + 2 - 21 = 3*p, 5*u = 3*p - 1. Let s be 228 + 3 + p - -2. Round s to the nearest 100. 200 Suppose -40*v + 36*v - 12 = 0. Let n(q) = 411*q**2 - 4*q - 11. Let o be n(v). What is o rounded to the nearest 1000? 4000 Let d = 685210305831.92936937 - 685210310674. Let j = d + 4787.070631. Let t = j - -55. Round t to seven dps. 0.0000004 Let u = 70 + -264. Let n = 95 + u. Let
{ "pile_set_name": "DM Mathematics" }
1 What is prob of sequence lhl when three letters picked without replacement from {f: 1, h: 6, z: 1, n: 1, l: 5}? 5/91 What is prob of sequence ryry when four letters picked without replacement from {y: 8, r: 3, t: 6, k: 1}? 7/1530 Two letters picked without replacement from zozzzoozozzzoz. What is prob of sequence zo? 45/182 Calculate prob of sequence bbt when three letters picked without replacement from {y: 1, b: 1, t: 1, d: 1, z: 1}. 0 Three letters picked without replacement from {g: 2, f: 4}. What is prob of sequence ffg? 1/5 Two letters picked without replacement from {r: 3, t: 1}. What is prob of sequence rt? 1/4 Two letters picked without replacement from {y: 16, k: 2}. Give prob of sequence yy. 40/51 What is prob of sequence djd when three letters picked without replacement from ggdggjjtgwdgd? 1/143 Four letters picked without replacement from gggzzgzzzzggg. Give prob of sequence gggg. 7/143 Calculate prob of sequence hhh when three letters picked without replacement from {h: 10}. 1 Four letters picked without replacement from {h: 2, o: 2, p: 11}. What is prob of sequence hoop? 11/8190 Calculate prob of sequence vvvq when four letters picked without replacement from {q: 10, v: 10}. 20/323 Three letters picked without replacement from {r: 1, m: 2, w: 4, c: 8}. What is prob of sequence wmc? 32/1365 Two letters picked without replacement from xsvyi. What is prob of sequence sy? 1/20 What is prob of sequence yzw when three letters picked without replacement from {w: 3, z: 1, y: 3}? 3/70 Two letters picked without replacement from hchchxhxchcxcchccccx. Give prob of sequence hx. 6/95 Three letters picked without replacement from {y: 3, a: 1, x: 4}. What is prob of sequence yax? 1/28 Two letters picked without replacement from {z: 1, h: 3}. Give prob of sequence zh. 1/4 Two letters picked without replacement from fvzvfzzf. Give prob of sequence zf. 9/56 Three letters picked without replacement from {t: 1, e: 3, z: 2, g: 1, q: 5}. What is prob of sequence egq? 1/88 Two letters picked without replacement from bacbdcadaacboad. What is prob of sequence db? 3/70 Calculate prob of sequence kv when two letters picked without replacement from {k: 1, r: 1, w: 1, v: 2, z: 1, t: 2}. 1/28 Two letters picked without replacement from {a: 3, e: 2, h: 1, q: 1}. What is prob of sequence qa? 1/14 Two letters picked without replacement from {i: 4, j: 2, h: 2, e: 1, u: 5}. Give prob of sequence uu. 10/91 Three letters picked without replacement from {w: 4, y: 4, u: 8}. What is prob of sequence yyu? 1/35 Two letters picked without replacement from {i: 2, a: 15, b: 3}. Give prob of sequence bb. 3/190 Calculate prob of sequence cdt when three letters picked without replacement from {j: 1, d: 1, w: 1, t: 1, c: 1}. 1/60 Three letters picked without replacement from {q: 1, o: 2, a: 4}. Give prob of sequence qoa. 4/105 Three letters picked without replacement from jeyxzgx. What is prob of sequence xjz? 1/105 What is prob of sequence hnna when four letters picked without replacement from nphhhapnshshpp? 5/12012 Calculate prob of sequence gi when two letters picked without replacement from ooggoggooogooigoo. 3/136 Two letters picked without replacement from {s: 7, d: 2, v: 10, q: 1}. What is prob of sequence ds? 7/190 Four letters picked without replacement from qeuseeseeseseq. Give prob of sequence qsus. 1/1001 Three letters picked without replacement from {n: 5, d: 1, o: 3}. What is prob of sequence dnn? 5/126 What is prob of sequence dl when two letters picked without replacement from {t: 1, l: 2, j: 1, z: 1, d: 2, u: 2}? 1/18 Calculate prob of sequence cuau when four letters picked without replacement from {a: 5, u: 5, c: 1}. 5/396 Three letters picked without replacement from evvvvvvv. What is prob of sequence vvv? 5/8 What is prob of sequence dmm when three letters picked without replacement from dmheddhdhmdc? 1/132 Two letters picked without replacement from {i: 2, q: 1, s: 1, v: 4, u: 1}. What is prob of sequence ii? 1/36 Two letters picked without replacement from ttpptcccccccct. Give prob of sequence cp. 8/91 Two letters picked without replacement from iwwaaiwwwa. What is prob of sequence aw? 1/6 Calculate prob of sequence ajj when three letters picked without replacement from jaeeyyejejyejja. 4/273 Four letters picked without replacement from {q: 7, y: 1, z: 10, m: 2}. Give prob of sequence zyzz. 2/323 Two letters picked without replacement from ddddpdddpd. Give prob of sequence dd. 28/45 Calculate prob of sequence aa when two letters picked without replacement from {u: 4, l: 8, z: 1, a: 2}. 1/105 Three letters picked without replacement from ssfofoososfnfsv. Give prob of sequence vns. 1/546 Two letters picked without replacement from iigiuguguuukuiuugigu. What is prob of sequence uu? 18/95 Three letters picked without replacement from yelyvepldppyeel. Give prob of sequence lyp. 9/910 Two letters picked without replacement from {b: 3, p: 8}. Give prob of sequence pp. 28/55 What is prob of sequence iguy when four letters picked without replacement from quugiquyuoqu? 1/2376 Two letters picked without replacement from ggukgkukgggtu. What is prob of sequence kt? 1/52 Calculate prob of sequence qf when two letters picked without replacement from qxxqfxxxqf. 1/15 Two letters picked without replacement from scss. Give prob of sequence sc. 1/4 Calculate prob of sequence tgz when three letters picked without replacement from {r: 1, z: 2, t: 1, m: 2, n: 2, g: 1}. 1/252 Three letters picked without replacement from bbbgciicb. What is prob of sequence iic? 1/126 What is prob of sequence mm when two letters picked without replacement from msssmm? 1/5 What is prob of sequence ggg when three letters picked without replacement from {g: 5, a: 14}? 10/969 Calculate prob of sequence kee when three letters picked without replacement from {m: 1, e: 4, k: 6, v: 2}. 6/143 What is prob of sequence iii when three letters picked without replacement from {y: 6, a: 4, i: 10}? 2/19 Four letters picked without replacement from {r: 1, d: 3, s: 1, z: 2, a: 5}. Give prob of sequence srdd. 1/1980 Calculate prob of sequence ttt when three letters picked without replacement from uuiwuuiuuuututut. 1/560 Four letters picked without replacement from {d: 7, r: 1, k: 3, e: 1}. Give prob of sequence errd. 0 Four letters picked without replacement from {y: 5, q: 1, d: 1, h: 2, p: 3, n: 1}. Give prob of sequence dyhp. 1/572 What is prob of sequence ppcp when four letters picked without replacement from {p: 4, d: 3, c: 5, q: 1}? 1/143 What is prob of sequence tqt when three letters picked without replacement from {t: 4, l: 3, s: 4, v: 1, q: 2}? 1/91 Two letters picked without replacement from {x: 5, a: 7, e: 6, v: 1}. Give prob of sequence xe. 5/57 Two letters picked without replacement from {r: 2, w: 6}. Give prob of sequence wr. 3/14 What is prob of sequence hh when two letters picked without replacement from {q: 2, j: 3, o: 4, h: 2}? 1/55 Three letters picked without replacement from {e: 1, u: 1, o: 1, c: 1, y: 4}. What is prob of sequence oeu? 1/336 What is prob of sequence ob when two letters picked without replacement from jbolbom? 2/21 Four letters picked without replacement from yyyyyyyyy. What is prob of sequence yyyy? 1 Three letters picked without replacement from wwbvbwwzyvzb. Give prob of sequence byz. 1/220 What is prob of sequence ppi when three letters picked without replacement from {i: 2, p: 11}? 5/39 What is prob of sequence zzz when three letters picked without replacement from zzzzzzzzzz? 1 Three letters picked without replacement from qyyyyyeyeyeyeeeyyye. Give prob of sequence yey. 385/2907 What is prob of sequence tqk when three letters picked without replacement from {k: 1, p: 3, q: 2, t: 1, l: 4}? 1/495 What is prob of sequence mmmm when four letters picked without replacement from mmmmmmmmmm? 1 What is prob of sequence astq when four letters picked without replacement from aqqattsaqqtaqqa? 1/364 Three letters picked without replacement from {l: 8, p: 5, s: 5, g: 1}. What is prob of sequence ppg? 10/2907 Four letters picked without replacement from {m: 1, d: 1, y: 2, c: 4, g: 1}. Give prob of sequence ygcy. 1/378 What is prob of sequence ofm when three letters picked witho
{ "pile_set_name": "DM Mathematics" }
Let c = i - -39. Calculate the remainder when (-12)/24 - 66/c is divided by 6. 4 Let z(j) = -3*j**2 - 12*j - 5. Let w be z(-4). Let s(y) = -y**3 - 2*y**2 + 8*y - 21. What is the remainder when 26 is divided by s(w)? 12 Suppose -1323 = -5*j - 3*v + 22, 3*v + 269 = j. Let r = j + -237. Suppose q + 3*b = 12, 48 = 4*q - 3*b + 7*b. Calculate the remainder when r is divided by q. 8 Suppose -f = -6*n - 2129, 2*f + 4*n - 391 - 3915 = 0. What is the remainder when f is divided by 14? 5 Let g = 112 + -52. Suppose 0*c - c - 4*k - 6 = 0, 2*c + 12 = -2*k. What is the remainder when g is divided by (-8)/c + ((-124)/(-6) - 1)? 18 Let s be 4/(-8)*-1*-34. Let o(x) = x**3 + 17*x**2 + 14*x + 12. Let d be o(s). What is the remainder when 53 is divided by (-1)/4*1 - d/8? 25 Calculate the remainder when 1699 is divided by 16/2 + (-660)/(-3 - 9). 61 Suppose -38*n + 2906 - 1082 = 0. Suppose b = n - 9. What is the remainder when 58 is divided by b? 19 Let x(g) = -g + 147. What is the remainder when x(0) is divided by 8 - (-9 + 8 + (0 - 6))? 12 Let v = 13272 - 10335. Calculate the remainder when v is divided by 196. 193 Let m be 8/5*45/36. What is the remainder when 151 is divided by (0 + -4 + 20)*m? 23 What is the remainder when (2 + 4270/28)*2 is divided by 61? 4 Suppose -y = -2 - 12. What is the remainder when ((-78)/104)/(2/(-144)) is divided by y? 12 Let i be (-2)/(1*(-4 + (-9)/(-3))). Suppose -50*k - 80 = -i*v - 49*k, -5*v + k = -197. What is the remainder when v is divided by 8? 7 Let q(u) = -10*u - 124. Let a = -1 + 5. Calculate the remainder when q(-19) is divided by a. 2 Let y(q) = 6*q - 25. Suppose -6 = u - 4*f, -27 = 5*u + 4*f - 69. Let b(m) = 7*m**3 - 2*m**2 + 1. What is the remainder when y(u) is divided by b(1)? 5 Suppose -24*t + 22786 = -14294. Suppose 0 = 8*m - t + 273. Calculate the remainder when m is divided by 20. 19 Let h(t) = 3*t**2 - 4. Calculate the remainder when (-5)/3*(-246)/5 is divided by h(5). 11 Let z(l) = 356*l - 2828. Let h = 1 + 7. What is the remainder when z(8) is divided by h? 4 Suppose 0 = 231*j - 78*j - 19278. Calculate the remainder when 469 is divided by j. 91 Let a be 4/6 - 13*188/12. Let s = 224 + a. Suppose 5*q - 410 = -2*u - 2*u, 5*u + 82 = q. Calculate the remainder when q is divided by s. 19 Let s = -141 + 117. Let m = s + 52. Calculate the remainder when m is divided by 26. 2 Let d(b) = -b**2 - 7*b - 10. Let g be d(-7). Let r be ((-18)/15)/(g/75). Suppose -3*t + r*t = 78. What is the remainder when 102 is divided by t? 11 Let y(w) = 451*w**3 + 0 + 4*w + 2*w**2 - 4 - 376*w**3 - 2*w. Calculate the remainder when y(1) is divided by 22. 9 Suppose -5*z = 3*w - 192 - 29, -2*w = z - 47. Let t be (-8)/(-10) - (-344)/80*4. What is the remainder when z is divided by 110/(-45)*t/(-4)? 10 Suppose 7*x = 53 + 115. Suppose -5*i + 80 = -3*u, 0*u + u = -i + x. Suppose i*s + 19 = 20*s. What is the remainder when 71 is divided by s? 14 Suppose -323*b + 30346 - 5475 = 0. What is the remainder when -1 + 222 - (5 - 7) is divided by b? 69 Suppose -5*k + 55*k - 1914 = -8*k. Calculate the remainder when k is divided by 2. 1 Let u(r) = -r**2 - 15*r - 8. Let g = 15 + -22. Suppose h = -2*b + 25, -15*b = 5*h - 11*b - 89. Calculate the remainder when u(g) is divided by h. 9 Let b(z) = -z**2 - z + 11. Let w be b(0). Suppose -6 = w*a - 12*a. Suppose a*x - 24 = 3*x. What is the remainder when 28 is divided by x? 4 Suppose -5*x + 20 = 0, -868 = -3*q + 2*x - 318. Calculate the remainder when (-179)/(-3) + (-9)/(-27) is divided by (-4)/6*q/(-4). 29 Suppose 16*q - 24*q + 2512 = 0. Suppose 0 = -2*j - 3*l + 151, 4*j + 3*l - q = l. What is the remainder when 301 is divided by j? 61 Suppose -4*d - 6 = -14. Suppose r = -2, d*f + 3*f - 4*r - 63 = 0. Calculate the remainder when 43 is divided by f. 10 What is the remainder when 15/12 + 4290/88 is divided by 32? 18 Suppose 2*q + 30 = 4*g, -2*q = -g + q + 20. Suppose 4*c - g*k + 75 = 206, 0 = 2*k + 6. Suppose -4*d - c = -101. What is the remainder when 35 is divided by d? 17 Suppose 3 - 6 = -3*u. Let k be (0/(-6))/(u + 1). Suppose -b - 11 + 45 = k. Calculate the remainder when b is divided by 10. 4 Let r = -2913 + 3103. Calculate the remainder when 754 is divided by r. 184 Calculate the remainder when 1039 is divided by 93/8 - 699/(-1864). 7 Let x be 7 - ((-4)/2 + 6). Suppose -x*f + 6*f = 63. Let d(s) = -s**2 + 23*s - 28. What is the remainder when d(f) is divided by 10? 4 Let j(l) = -113*l. Let w be j(-1). Suppose h + 4*o = 52, 29*h - 228 = 24*h - 4*o. Let i = h + w. What is the remainder when i is divided by 32? 29 Suppose 524 + 2150 = 14*d. Let s = -175 + d. Calculate the remainder when 572 is divided by s. 12 What is the remainder when (402/24 + -22)/((-5559)/(-5568) + -1) is divided by 15? 8 Let c be (20/(-4) - -4)*-61. Let d = c - 53. Suppose 20 = d*q - 52. Calculate the remainder when 60 is divided by q. 6 Let v(q) = 81*q + 536. Suppose 0 = -0*m + m + 4*w - 93, 0 = 5*m - 2*w - 487. What is the remainder when m is divided by v(-6)? 47 Let j = -219 - -204. What is the remainder when (20/j)/(-2) - (-552)/9 is divided by 22? 18 Let p(v) = 19*v - 81. Let n be p(5). Suppose -13*l = -n*l - 1, 4*r - 2*l = 66. What is the remainder when r is divided by 6? 4 Let g = -599 - -658. Suppose -c + 0 = -15. Calculate the remainder when g is divided by c. 14 Suppose 0 = 60*h + 1290 - 3510. Calculate the remainder when 146 is divided by h. 35 Suppose 0 = 26*p - 7197 + 1815. What is the remainder when p is divided by 61? 24 Calculate the remainder when 3125 is divided by 29/8 - 4 - (-973)/56. 14 Let r = 12993 + -11915. What is the remainder when 4323 is divided by r? 11 Suppose 7*h - 27 = 10*h. What is the remainder when (-710)/(-25) + 1/(-10)*4 is divided by h/(-2)*(0 + 2)? 1 Suppose -5*y + 3*m = -97, y + m - 5 = 16. Suppose -118 + y = -p. Suppose 4*z = 22 + p. Calculate the remainder when 118 is divided by z. 28 Suppose 2*n + 4*i = -n + 66, n + 5*i - 33 = 0. Suppose -139 = -3*t + 14. What is the remainder when t is divided by 104/n + -3*(-2)/27? 3 Let c be (6/7)/((-2 + 1)/28). Let r be (-78)/182 - 400/14. Let s = c - r. Calculate the remainder when s is divided by 3. 2 Let c be (-2)/(((-18)/(-147))/(-3)). Suppose 3*s + 52 - c = 0. What is the remainder when 4 is divided by s/(-2)*(1 - -3)? 0 Let a(d) = -92*d + 633. What is the remainder when a(2) is divided by 97? 61 Let d be 1/7 + 1745/35. Calculate the remainder when 149 is divided by (-132)/(-20)*d/15. 17 Let t be (37 - 34)*27/(2/2). Let h = t - 5. Suppose 0 = 5*k + 3*u + 30 - 91, 3*u + 38 = 4*k. What is the remainder when h is divided by k? 10 Let b = -1533 + 2216. Let w = b + -636. What is the remainder when 843 is divided by w? 44 What is the remainder when (24 - 23) + 118*1 is divided by 35? 14 Let g = 59 - 119. Let n be g/150 - 222/(-5). Suppose -3*o - 5*l = 63 - 155, o = -5*l + n. What is the remainder when o is divided by 13? 11 Let q(y) = -39*y. Suppose 3*v = -3*l + 126, 3*l - v + 2 - 112 = 0. Suppose l = 2*z - 182. Calculate the remainder when z is divided by q(-1). 32 Let t = 1945 - 1648. Calculate the remainder when t is divided by 51. 42 Let u = 20 + -7. Suppose -u*p + 312 = -10*p. Let c = p - 70. Calculate the remainder when 201 is divided by c. 31 Suppose -33*s + 32*s - 5*a + 23 = 0, -5*s = -4*a - 86. Calculate the remainder when 969 is divided by (18/54)/((5/s)/5). 3 Suppose -5*i + 89 = -11. Let m(u) = 61*u + 2. Let r be m(2). Let c = r - 67. What is the remainder when c is divided by i? 17 Let s(l) = 15*l**2 - 14*l + 6. Calculate the remainder when 146 is divided by s(3). 47 Let y be (1 + -13)*213/(-18)*-4. Let t = y + 596. What is the remainder when t is divided by (6/(-9))/(2/(-51))? 11 Let d = 175 + -203. Calculate the remainder when -2 + 2 + -4 - d is divided by 5. 4 Suppose -3596 = -2*x + 2*k, 5391 = -60*x + 63*x - 2*k. Calculate the remainder when x is divided by 40. 35 Let a be 7/4 + (-78)/104. Calculate the remainder when 67 is divided by 8/(56/329)*a. 20 What is the remainder when 3813 is divided by ((-19600)/1050)/(8/(-78))? 173 Let h = 18454 + -17825. Calculate the remainder when h is divided by 20. 9 Suppose 4*q = 17 - 9. Suppose 68 = -6*t + 488. What is the remainder when t is divided by q/(((-60)/125)/(-6))? 20 Suppose 0 = 7*w - 519 - 3443
{ "pile_set_name": "DM Mathematics" }
37 Let r(n) = 60*n - 88. List the prime factors of r(5). 2, 53 Let n = 1155 + -284. List the prime factors of n. 13, 67 Let g = 388 - 123. What are the prime factors of g? 5, 53 Let n(y) = 254*y**3 - 6*y**2 + 3*y - 5. What are the prime factors of n(2)? 7, 41 Let c = -301 + 212. Let x = 140 + c. What are the prime factors of x? 3, 17 Suppose -5*o - 1226 = -7*o. List the prime factors of o. 613 Let x(s) be the third derivative of -11*s**6/40 + s**5/30 + s**4/24 - 16*s**2. Suppose -2*j - 1 = -l, -4*j + 1 = -3*l - 2*j. List the prime factors of x(l). 2, 17 What are the prime factors of (60/18)/(4/1284)? 2, 5, 107 Suppose 8 - 20 = 4*o. Let x(y) = 2*y**2 - 8*y + 1. Let r(c) = -c**2 + 7*c - 2. Let g(i) = o*r(i) - 2*x(i). What are the prime factors of g(-4)? 2 Let k be 2 + (-4 - (0 + -7)). Suppose -2*x + 392 = k*x. List the prime factors of x. 2, 7 Suppose -22*g + 384 = -30*g. List the prime factors of (-8040)/g - 1/(-2). 2, 3, 7 Let h = 784 + -203. Suppose -4*r + 4*d = 608, 4*r = -4*d - d - h. Let z = -106 - r. List the prime factors of z. 43 Let x be (-6)/9 + 3620/12. Suppose 5*s - 24 - x = 0. What are the prime factors of s? 5, 13 Let r = 191 + -122. List the prime factors of r. 3, 23 Suppose -126 = 3*i - 1650. What are the prime factors of i? 2, 127 Let w be 27/3 + 0 - 1. Let k be (10/w)/(7/140). List the prime factors of ((-10)/k)/((-2)/10). 2 Let m = 8 - 6. Let p = 46 - -25. Suppose 4*a - p = -m*j + 33, -5*j = 2*a - 220. List the prime factors of j. 2, 3, 7 Suppose -4*t + 3*q = 4 - 44, 4*q = 4*t - 44. Let n(f) = -f**2 + 15*f - 8. List the prime factors of n(t). 2, 3 Let v be ((-4)/(-5))/(7/(-70)). Let g = -28 - -47. Let i = g + v. List the prime factors of i. 11 Let v(l) = 10 + 0 + 1 + 2*l**2 + 2*l - 11*l. List the prime factors of v(5). 2 Let b(l) = -5*l**2 + 3*l. Suppose k + 3*o - 12 = 0, 0*o + 16 = 3*k + 5*o. Let c be b(k). Let i = c + 90. List the prime factors of i. 2, 3 Let g(w) = 3*w - 64. Let r be g(23). Suppose -5*t = -3*i - 568, -r*t - i = -0*i - 584. What are the prime factors of t? 2, 29 Suppose -11*b + 6*b = -2420. What are the prime factors of b? 2, 11 Suppose 5*l + 2*g = 3*g + 11259, -5*g + 4482 = 2*l. List the prime factors of l. 2251 Let b be (3 - 1324/(-36)) + 2/9. Let i = 112 - b. List the prime factors of i. 2, 3 Let l(v) = -v**2 - 7*v + 8. Let i be l(-8). Let t be i + 11 - (0 - -3). Let r = 24 - t. List the prime factors of r. 2 Let n = -202 - -463. What are the prime factors of n? 3, 29 Let h(z) = -9*z**2 - 3 + 4 - z**3 + 14*z**2 + 0. Let q be h(5). List the prime factors of ((-217)/21)/(q/(-3)). 31 Suppose 4*j = -20, -165 - 1674 = -3*a - 3*j. What are the prime factors of a? 2, 3, 103 What are the prime factors of (-1983528)/(-540) - (-2)/(-10)? 3673 Let l(f) = -3*f**2 + 6*f - 6. Let s be (-10)/(-4)*30/25. Let o be l(s). List the prime factors of ((-280)/o)/(4/12). 2, 7 Let x = 2938 - 1507. List the prime factors of x. 3, 53 Let v(r) = -8*r**3 - 1. Let n be v(-1). Suppose 4*t + 9 + n = 0. Let o(x) = 3*x**2 + 4*x - 5. List the prime factors of o(t). 3 Suppose 4*x - 4*w - 3504 = 2540, 0 = x + 4*w - 1536. List the prime factors of x. 2, 379 Let q = -72 + 70. What are the prime factors of (4 + 8/(-6))/(q/(-15))? 2, 5 Let c(v) = 44*v - 8*v**2 + v**3 - 11*v**2 - 26 - 63*v. Let i be c(20). Let w(y) = -y**2 - 7*y - 1. What are the prime factors of w(i)? 5 Let m(p) = -14 + 23 + 0*p - 7 + 10*p. What are the prime factors of m(4)? 2, 3, 7 Let v(r) = 2*r - 7. Let o be v(5). Let m = o + 7. What are the prime factors of (-274)/(-18) - m/45? 3, 5 Let v = 420 - 210. List the prime factors of v. 2, 3, 5, 7 Let n(b) = b**2 + b + 1. Let c(a) = 3*a**2 + 5*a - 4. Let k = 14 + -16. Let x(q) = k*n(q) + c(q). What are the prime factors of x(3)? 2, 3 Let s = -38 - -22. Let r(b) = b**2 + 15*b - 15. Let p be r(s). Let n = p + 13. List the prime factors of n. 2, 7 Suppose -2*i + 5*j = -417 - 890, -5*j + 1357 = 2*i. List the prime factors of i. 2, 3, 37 Let b = -2 + 5. Suppose -45 = -b*g + 99. What are the prime factors of g? 2, 3 Let f be ((-6)/4)/((-21)/(-784)). What are the prime factors of -25*(f/20)/7? 2, 5 Let r be (-10 - -7)/(6/8). What are the prime factors of (-3)/r + (-2685)/(-20)? 3, 5 Suppose 4*s = 5 - 1. Let l(n) = 13*n**2 - 5*n + 5. Let a be l(1). Let t = a - s. What are the prime factors of t? 2, 3 Let k(l) = -67*l - 37. What are the prime factors of k(-8)? 499 Suppose 2*a - 49 = -19. Suppose 4*d = 2*s - 9 - 3, 3*d = 3*s - a. Let c = 10 + s. List the prime factors of c. 2, 7 Suppose 2*u - 73 = 53. Let x be (-7)/21*u/(-1). Let l = x - -1. What are the prime factors of l? 2, 11 Suppose 3*y = -5*a + 4968, 2*y - 7*a + 10*a = 3311. List the prime factors of y. 13, 127 Let f(r) = 26*r + 43. What are the prime factors of f(0)? 43 Let k(a) be the third derivative of -a**4/24 + a**3/6 - 2*a**2. Let w be k(-2). Suppose 2*i = -w*y - 3*i + 69, 4*y - 5*i = 57. List the prime factors of y. 2, 3 Let d be (-8)/(-3)*12/8. Suppose b = d*b - 9. Suppose 8 = -s + b*s. List the prime factors of s. 2 Let z = -2484 + 3787. What are the prime factors of z? 1303 Let k(w) = -2*w**3 - 12*w**2 + 6. Let l(f) = -9*f + 3. Let n be l(1). Let d be k(n). Suppose -x - b = -22, 0 = -3*b - d - 3. What are the prime factors of x? 5 Suppose 5*d = -2*h + 1051, 2*d + 991 = 5*h - 1564. What are the prime factors of h? 3, 19 Let v(g) = g**3 + 3*g**2 - 9*g - 15. Let q be v(-4). Let k(i) = 3*i**3 - 2*i**2 - 9*i + 20. What are the prime factors of k(q)? 2, 3, 5 Suppose 5*o - 24 = -2*c, 4*o - 3*o + 6 = 5*c. Let z be (-1)/(-4) - 305/4. List the prime factors of z/(-13) - c/(-13). 2, 3 Let q(l) = -l**2 + 4*l + 5. Let p be q(5). Suppose p = 3*w + 1 + 5. List the prime factors of (3/w)/(15/(-60)). 2, 3 Suppose -24366 = -4*k + 3*j, 5*k - 32543 = -5*j - 2068. What are the prime factors of k? 3, 677 Let o(i) be the third derivative of -i**7/504 + 13*i**6/720 + i**5/20 + i**2. Let r(p) be the third derivative of o(p). List the prime factors of r(-4). 53 Let g = -1 - -5. Let n be -2*(-1)/(g/(-30)). What are the prime factors of -8*(n/12)/1? 2, 5 Suppose 0*m + 2*m - k = 8, 28 = 4*m - 5*k. Suppose -m*j = j - 48. List the prime factors of j. 2 Let s(l) = -5*l**3 + 3*l - 4. Let x be s(-3). Let j = x - 66. Suppose 0 = -3*f + j + 52. List the prime factors of f. 2, 3 Suppose h + 519 = -2*h. Let a = -97 - h. List the prime factors of a. 2, 19 Let n(f) = 38*f**2 - 3*f + 11*f - 7*f. Let b = -3 - -2. List the prime factors of n(b). 37 Let w(o) = -o + 7. Let h be w(9). Let y(z) = -z**2 + z - 1. Let t(f) = -7*f**3 - 6*f**2 + 6*f - 4. Let j(u) = t(u) - 6*y(u). What are the prime factors of j(h)? 2, 29 Let i = -144 + 1162. List the prime factors of i. 2, 509 Suppose 5*x + 269 - 1449 = 0. List the prime factors of x. 2, 59 Suppose -w + 5 = 0, -4*s + 372 = w - 741. What are the prime factors of s? 277 Let d(l) = l**3 + 10*l**2 + 16*l + 7. Let m be d(-8). Suppose 12*h - 215 = m*h. List the prime factors of h. 43 Suppose -74*n = -75*n + 5, -14632 = -3*t + n. What are the prime factors of t? 7, 17, 41 What are the prime factors of 7358/4 - (-49)/98? 2, 5, 23 Let f = 114 + -37. Suppose 56*q = 72*q + 624. Let z = q + f. What are the prime factors of z? 2, 19 Let x(h) = h - 12. Let f be x(14). Suppose 0*n - n = 1, -f*n = 2*t + 2. Suppose t*y - 6 = -3*y. List the prime factors of y. 2 Suppose -g - 2 = -q - 10, -6 = 2*q. List the prime factors of (-2)/((g - 3) + 1016/(-506)). 11, 23 Suppose 7 = 9*p - 29. Suppose 3*l = -p*m + 2*l + 847, -4*m = 4*l - 856. List the prime factors of m. 211 Suppose 0 = -2*z - 4*z + 1824. Suppose -99 = 5*i - z. What are the prime factors of i? 41 Let m(c) = -c**2 - 10*c + 4. Let p be m(-8). Suppose -3*f = 2*f - p. Suppose o - 4*l - 43 = -0*o, -3*o - f*l = -49. What are the prime factors of o? 23 Suppose 5*b - 3*b = -2*a + 98, -175 = -4*b + 3*a. Suppose b + 2 = 3*p. What are the prime factors of p? 2 Suppose -33*h + 36*h = 0. Suppose -4*v - 61 = -d + 102, h = -5*d - v + 836. List the prime factors of d. 167 Suppose -2*h = h + j - 4, 2*h + 5*j + 6 = 0. Suppose -h*r - 16 = -110. Let p = -33 + r. What are the prime factors of p? 2, 7 Let m(q) = 10*q**2 - 4*q - 4. Let o be (-6)/3 + (-5 - -5). List the prime factors of m(o). 2, 11 List the prime factors of (2 + -5)/((-1)/436*2). 2, 3, 109
{ "pile_set_name": "DM Mathematics" }
) 1/7 (d) 0.2 (e) 2/3 (f) -4 (g) 1 d Which is the fourth smallest value? (a) -65 (b) -0.04 (c) -580 (d) 0 d Which is the second smallest value? (a) -27.3 (b) -2/575 (c) -1/7 c Which is the sixth biggest value? (a) 33 (b) 1/2 (c) 2 (d) -9 (e) 0.2 (f) -20306 f Which is the fifth smallest value? (a) 5 (b) 0.2 (c) -7107 (d) -0.4 (e) -0.5 a Which is the sixth smallest value? (a) 1/9 (b) -0.1 (c) -0.3 (d) 21.8 (e) -2 (f) 1 (g) -10 f What is the smallest value in 192, 13, 8.09? 8.09 What is the sixth biggest value in -7/120, -0.01, 1/3, 13, 2, -3/7? -3/7 What is the fourth smallest value in -4, 4/67, 0.07, 38, 0.06? 0.07 What is the second smallest value in -2, 86, -2/19, 1/95? -2/19 What is the third smallest value in 0.01, 3, 2, 969/4, 0.3, -1/6, -1/4? 0.01 What is the biggest value in 1457, -1/8, 133? 1457 What is the third smallest value in 3435.3, -4, -11, -30? -4 Which is the fourth smallest value? (a) 1/7 (b) -2/7973 (c) -1/40 (d) 0.2 (e) -3 (f) -0.4 b What is the sixth biggest value in -5, 0.1, -204, -0.88, -4, 2/3? -204 What is the third smallest value in 1/3, -0.36, 13, -1/4, 2/9, -4/99? -4/99 Which is the smallest value? (a) -0.6 (b) -218/7 (c) 19 (d) -103 d Which is the sixth biggest value? (a) -1/9 (b) 1/7 (c) -1 (d) 28 (e) 1.2 (f) -2/61 c Which is the biggest value? (a) 2 (b) -17863 (c) -0.4 (d) 0 (e) 8 (f) 4 e What is the second biggest value in 3, -621.45, -0.14? -0.14 Which is the sixth smallest value? (a) -1 (b) 119/6 (c) -1.9 (d) 4/3 (e) -2/15 (f) -1/3 (g) 3/7 d What is the seventh biggest value in 5, 2/3, -1, -95456, -4, -0.3, 1/9? -95456 Which is the sixth biggest value? (a) 5/17 (b) -1 (c) -0.2 (d) -2/7 (e) 33/14 (f) 0.39 b What is the second biggest value in 0, -9688, 11/10, 4? 11/10 What is the sixth smallest value in -8, -45, -17/2, 1/4, 2, -1? 2 What is the third smallest value in 12/1343, -4, -3, 0, 2? 0 Which is the second smallest value? (a) 37354 (b) 0.34 (c) -10 (d) -0.3 d What is the fourth smallest value in -14, -6.9, 1, 0.4, -0.15, -25/2? -0.15 Which is the second smallest value? (a) 0.11 (b) 89 (c) -4/391 (d) 0.053 d Which is the smallest value? (a) 2 (b) -569670 (c) -20/13 b Which is the smallest value? (a) 295 (b) -112289 (c) -3 b What is the second biggest value in -4, -5, -0.06, -45.2, 1, 0.16? 0.16 What is the smallest value in -1/6, 2, -0.58, -24, -5/3, 0? -24 Which is the smallest value? (a) 14 (b) 2 (c) -9/4 (d) -99 (e) 38 (f) 4 d What is the fifth biggest value in -4, -30, -0.4, 80, -5? -30 What is the second biggest value in -14/5, 26/23, 1? 1 Which is the fifth biggest value? (a) -0.02 (b) -16.37 (c) -3/8 (d) 73 (e) -2 (f) -3 (g) -1/5 e What is the second smallest value in 1/10, -5/13, 185, 7, 0, -0.5, -2? -0.5 Which is the third smallest value? (a) -0.06 (b) -1/6 (c) -891 (d) 4 (e) -8 b Which is the fifth biggest value? (a) 17 (b) 9.7 (c) -1 (d) -3/4 (e) 1/4 (f) 0.5 d What is the second smallest value in -4.04, 1, 2, -3/4, -0.02, 3/7, 3? -3/4 Which is the seventh smallest value? (a) -30 (b) -2/15 (c) -3/65 (d) -3 (e) 2/11 (f) -21 (g) 0.1 e What is the second smallest value in -0.1, 157, 5, -96, 1, 0, 63? -0.1 Which is the biggest value? (a) -2/15 (b) 5 (c) 1 (d) -256 (e) 9/4 b What is the second biggest value in -0.2, -0.4, -2/3, -4/45, 184/29, 1, 2? 2 What is the smallest value in -1, 18862/5, -1/4, -16, 3? -16 Which is the second biggest value? (a) 7 (b) 204 (c) -0.5 (d) 2 (e) -122/3 a What is the second biggest value in 0.5, -9, 19, 1/4, 26, 2/5, 0.1? 19 Which is the fourth biggest value? (a) 837/11 (b) -0.034 (c) 0 (d) -1.2 d Which is the fifth biggest value? (a) -6 (b) -3/2 (c) 6 (d) -4 (e) 9/4801 (f) -0.2 d What is the biggest value in 75.2, -0.0807, -2/5? 75.2 What is the second biggest value in -215, 0.1, 0.5, -0.5, 3375? 0.5 Which is the second smallest value? (a) 0.6 (b) 1696 (c) -0.4 (d) -5 (e) -1/5 c Which is the smallest value? (a) 0.1 (b) -3/4 (c) 1 (d) 21753.55 b Which is the third smallest value? (a) 1/468 (b) -9 (c) -6/5 a Which is the third biggest value? (a) -10/3 (b) 5 (c) 0.02 (d) 614 (e) 0.3 e Which is the second smallest value? (a) 50 (b) -2/29547 (c) -2/21 (d) -1 c What is the biggest value in -12/13, 0.3, -0.2, 22, -2/9, 88, -5/2? 88 Which is the sixth biggest value? (a) -0.3 (b) -1.78 (c) 0.5 (d) 3/19 (e) -0.4 (f) 8 (g) 3/4 e Which is the second smallest value? (a) -4 (b) 2175208 (c) -2/35 c Which is the fifth smallest value? (a) 3/7 (b) 0.1 (c) 1/4 (d) -166 (e) 3 (f) -2/453 a What is the third biggest value in -12, -4/9, -90, 0.295, -1, 1? -4/9 What is the second biggest value in 0.1, 11038.7, 13? 13 Which is the smallest value? (a) -1 (b) -1.2 (c) 13 (d) 3/7 (e) 7 (f) 1 (g) 16 b Which is the second smallest value? (a) -0.024 (b) -2/5 (c) -1/2 (d) 0.8 (e) 69/2 b Which is the smallest value? (a) 9 (b) 57 (c) 10691 a Which is the fourth smallest value? (a) 11 (b) -0.3 (c) 0.1 (d) 13 (e) 1915 d Which is the sixth smallest value? (a) 5/8 (b) -0.5 (c) -2/5 (d) -0.0281 (e) -2/189 (f) -2 (g) -0.2 e Which is the sixth biggest value? (a) 1/7 (b) 2/61 (c) -5 (d) 0.3 (e) 5 (f) 0.042 c What is the fifth smallest value in -0.01, 1, 17, -4, 2/17, 12, -94? 1 Which is the fourth smallest value? (a) -10 (b) 1 (c) -0.03 (d) 2 (e) -0.00185 (f) 0.3 f Which is the seventh biggest value? (a) 1/3 (b) -0.5 (c) -64 (d) -92/5 (e) -3/4 (f) -2.54 (g) -0.1 c Which is the third smallest value? (a) 8 (b) 251 (c) 2 (d) 1 (e) -776/3 (f) 0 d Which is the biggest value? (a) 0.07 (b) -4 (c) 31/3 (d) 342/11 d What is the third biggest value in 2, -114, 0.2, 1, 5, 34? 2 Which is the smallest value? (a) -4 (b) 5 (c) 0.02 (d) -1/197 (e) -28 (f) 0.06 e What is the fifth smallest value in -4, 0.21, -0.92, -44, 0? 0.21 Which is the biggest value? (a) -7 (b) -2 (c) -1.8 (d) -0.3 (e) -0.1 (f) 0.9 (g) 2 g What is the fourth biggest value in -0.7, -155, -2, -4, 0.052, -5, -6? -4 Which is the smallest value? (a) 2/3 (b) -3/15959 (c) 11 b What is the biggest value in 19, -3/7, 5, -4, -5, -1730, -36? 19 Which is the third biggest value? (a) -1/4 (b) 7 (c) 225.7 (d) -14 (e) 3/2 e What is the sixth biggest value in -6, 3, 0.4, -0.1, -172, -2/7, -1/18? -6 What is the biggest value in 41, -1/2, 18, -1.1, -0.1, -0.06? 41 What is the second smallest value in 30/7, -46, 21/2, 1/3? 1/3 What is the smallest value in 2/7, -10/1731, 0.1, -1, 0.03, -0.1, 0.3? -1 Which is the fifth biggest value? (a) 7/9 (b) -0.67 (c) 1/6 (d) 2 (e) 3 (f) 0 f Which is the third smallest value? (a) 1/4 (b) -6 (c) -5 (d) 5 (e) -11 (f) 159 (g) 2 c What is the biggest value in -7, -0.2, 127936, 0.3? 127936 Which is the biggest value? (a) 5/4 (b) 0.1 (c) -0.78 (d) 3157 d What is the second smallest value in -0.1, 29273220, 1/4? 1/4 What is the biggest value in 1/4, 0.68, 0.06, 0.095, 8, 0.3? 8 What is the third biggest value in -34.2, -27, -122/5, 2/7? -27 What is the fifth biggest value in -1372, 6, 0, -2/11, 0.3? -1372 What is the smallest value in -1/2, 269, 4/5, 1/6, -4681? -4681 Which is the biggest value? (a) 57 (b) -802/7 (c) 0.3 a Which is the smallest value? (a) 112 (b) -4 (c) -0.3 (d) 50 (e) 8 b What is the fourth biggest value in 2, 0.749, -1/75, 18? -1/75 Which is the sixth biggest value? (a) -5 (b) 5 (c) 4 (d) 2.71 (e) 2 (f) -2 (g) -3 g What is the third smallest value in -49, 1/2, 4, 24759/5? 4 What is the third smallest value in -0.17, -3, 3, -0.14, -11/21, -10? -11/21 What is the smallest value in 1.4, -652, 16, 38, -0.2? -652 What is the second biggest value in 5, -3, -265, 0, 84, -2/23? 5 What is the fourth smallest value in -12, 33/5, -0.3, -0.4, -6.4, 2/9? -0.3 Which is the fourth smallest value? (a) -5 (b) -1.82 (c) 43/5 (d) 4/7 c Which is the second smallest value? (a) 0.2 (b) 109 (c) 0.5 (d) -1 (e) -26 (f) -6 f What is the third biggest value in 1, -2, -2/7, 4774734? -2/7 Which is the second biggest value? (a) -16 (b) -0.2 (c) -0.9 (d) 5 (e) -5/6 (f) 2 (g) -11 f Which is the biggest value? (a) -5 (b) 1 (c) 2/19 (d) -0.09 (e) 0.39 (f) 19.3 f W
{ "pile_set_name": "DM Mathematics" }
r - s = 2*r - 10. What is the units digit of r? 3 Let w(u) = u**2 - 4*u - 3. Let c be w(5). What is the units digit of 42/(c*1/2)? 2 Let h(z) = -z**3 - 13*z**2 - 10*z + 17. Let a be h(-12). Let i = a + 8. What is the units digit of 10*i/(-7)*-7? 0 Let k(g) = g**2 - 12*g + 11. Let n(d) = d**2 - 11*d + 11. Let w(f) = -4*k(f) + 3*n(f). What is the tens digit of w(13)? 1 Let f = 67 - -2. What is the units digit of f? 9 Let u(x) = x**3 + 11*x**2 + 12*x - 10. What is the tens digit of u(-7)? 0 Let s(g) = -23*g + 1. Let c be s(5). Let u be ((-7)/(-21))/((-2)/c). Suppose 2*f + 2 = -4, 2*t + f = u. What is the units digit of t? 1 Let y(s) = s**3 + 3*s**2 + s. Let m be y(-3). Let v(w) = -w**3 + 4*w + 2. What is the tens digit of v(m)? 1 Suppose 0 = -4*a - 0*a + 332. Suppose -s - 2*c = 5 - 27, a = 5*s + c. What is the tens digit of s? 1 Let p(n) = 2*n**2 - 11*n - 6. What is the tens digit of p(9)? 5 Suppose -3*i + 8*i = 5*x - 130, 3*x + i - 94 = 0. What is the units digit of x + 3/((-3)/3)? 7 Suppose -6*x + 5*x - 3*d = -122, 0 = 4*x - 2*d - 530. What is the tens digit of x? 3 Let i = 266 + -172. What is the units digit of i? 4 Let k = -32 + 139. What is the units digit of k? 7 Let p = -11 - -23. Let f(b) = b**2 - 4*b - 5. Let s be f(5). Suppose s = -2*i - i + p. What is the units digit of i? 4 Let g = -18 + 41. What is the units digit of g? 3 Let p = 0 - -6. Let q = p + -4. Suppose 0*w + 8 = q*w. What is the units digit of w? 4 Let d be 9/1 - (3 - -1). Suppose 4*v - d*j = 230 - 53, 2*v - 3*j = 87. What is the units digit of v? 8 Suppose 0 = g + g. Suppose 0*l - 4*l = g. Suppose b + 3*b + 3*t - 18 = l, -5*b + 2*t + 34 = 0. What is the units digit of b? 6 Let m(d) = 2*d - 6. Let v be m(4). Let s(g) = g**2 - 3*g + 0*g**v + 6*g**2 + 2 - 2*g**2. What is the tens digit of s(2)? 1 Let v(s) = s**3 + 6*s**2 - 9*s. Let t be (-4)/(-6)*(-42)/4. What is the tens digit of v(t)? 1 Suppose -1 = -5*s + 29. Suppose -s*a + 3*a + 28 = 5*w, -1 = -a. Suppose w*g = 1 + 4. What is the units digit of g? 1 What is the units digit of 99/(-5)*(-10)/3? 6 Let g(j) = j**3 - 2*j**2 - 6*j + 2. Let z be g(4). Let i(s) = -s**2 + 12*s + 4. What is the tens digit of i(z)? 2 Let v(c) = -c**2 + 8*c - 1. Let k be v(10). Let w = k - -34. What is the units digit of w? 3 Let o = -9 + 7. Let f(u) = -4*u**2 - 2*u + 0*u + 2*u**3 - 4*u**3. What is the units digit of f(o)? 4 Let w = -437 - -612. Suppose -32 = -h + 4*g, -3*h = 2*h - 5*g - w. What is the tens digit of h? 3 Suppose p = -0*z + 3*z + 12, 12 = -3*p - 3*z. Suppose 2*x - 2*m = 6, p = -2*x - 0*m - 5*m - 15. Let b(i) = i**2 + i + 2. What is the units digit of b(x)? 2 Let o = 1 + 3. Suppose -2*w - 3*w = -x - 5, 3*x + 26 = o*w. What is the units digit of 2/x + 182/10? 8 Let g(h) = h**3 + 7*h**2 - 12*h - 4. What is the tens digit of g(-7)? 8 Let b(g) = 33*g + 14. What is the units digit of b(5)? 9 Suppose o - 12 = -2*o. Let m(n) = n**2 - n. What is the tens digit of m(o)? 1 Let o(a) = -a**2 + a - 1. Suppose w = 2*w. Let h be o(w). Let x = h - -3. What is the units digit of x? 2 What is the units digit of 2/4 - 75/(-2)? 8 Suppose 68 = h + 4*i, 0 = -2*h - 2*i - i + 131. What is the tens digit of h? 6 Let p be 1 - (2 - -10)/(-2). Let k(q) = -q + 7. Let d be k(p). Suppose 3*s + d*s + 3 = -4*t, -5*s = -5*t + 40. What is the units digit of t? 3 Let k(x) = 20*x - 29. What is the tens digit of k(8)? 3 What is the tens digit of (123 - 3)/4 - 2? 2 Let l = 91 - 78. What is the tens digit of l? 1 Let v(y) = -4*y + 0*y + 0*y - 3 - 1. What is the units digit of v(-3)? 8 What is the hundreds digit of ((-152)/(-48))/(-19) - (-1165)/6? 1 Suppose b + 0*b = 4*i + 20, 3*i - 18 = -2*b. Suppose 3*h = -0*h + b. What is the units digit of h? 4 Let l = 2 + 2. Let o = 6 - l. Suppose 0 = 4*f + 5*a + 2, 0*a = -o*f - 2*a. What is the units digit of f? 2 Suppose 65 = 5*p - 105. What is the units digit of p? 4 Let w be (-2)/(-2 - 6/(-4)). Suppose 19 = w*y - 1. Suppose b + 56 = y*b. What is the units digit of b? 4 Let p = -53 + 273. What is the tens digit of p? 2 Let o(u) = -u**3 + 3*u**2 + u - 1. Let m be o(-2). Suppose d - 4 = m. What is the units digit of d? 1 Suppose -d + 1 = 5*k - 3*k, d + 5 = k. What is the units digit of k? 2 Suppose 2*b + 58 = -2*g, -g - 92 = 4*b - 5*g. Let u = -14 - b. What is the tens digit of u? 1 What is the tens digit of (-28)/35*(-190)/4? 3 Let y(z) = -4*z + 1. Let k be y(1). Let w(o) = 2*o**2 + 2*o - 2. What is the units digit of w(k)? 0 Let y(l) = -3*l. Let k be y(-1). Let d = 4 - k. Suppose -h + 15 = d. What is the units digit of h? 4 Let c = -33 - -71. Suppose -j + 0 = t - 2, -3*j + 5*t = -c. What is the units digit of j? 6 Let c be (-5 - -3)/(4/6). Let x = 16 + c. What is the tens digit of x? 1 Suppose 4 = 4*z + 2*p, -z + 3*p = 3 - 18. Suppose 0 = 2*v + z*v - 45. Suppose -t = -4*n + v, n + 5*t + 3 = -0*n. What is the units digit of n? 2 Suppose -2*w = 0, -2*w - 3*w - 22 = 2*j. Let a = j + 16. What is the units digit of a? 5 Suppose -5*q = -1455 + 535. What is the tens digit of q? 8 Let t(d) = d**2 - 7*d + 6. Let y be t(5). Let q(b) be the second derivative of b**4/12 + 5*b**3/6 + 5*b**2/2 - 3*b. What is the units digit of q(y)? 1 Let k = -51 - -91. Suppose k = 4*u + 4*p - 0*p, 0 = -2*u - 5*p + 35. Suppose 0 = u*y + o + 3*o - 30, 3*o = -y - 5. What is the tens digit of y? 1 Let b(r) = r**2 - 5*r - 1. Suppose -4*z - 2*l + 12 = 0, 2*z - 4*l = z + 21. Let a be b(z). Let j = 0 - a. What is the units digit of j? 1 What is the tens digit of (-724)/(-14) - 4/(-14)? 5 Suppose -5 = 7*t - 2*t. Let j(c) = c**3 - 4*c**2 + 2*c + 1. Let v be j(2). What is the units digit of 3*1 + (t - v)? 5 Suppose 0*r = 2*t - r - 29, 0 = -t - r + 7. Suppose -3*v + t = -0*v, 2*y - 30 = -2*v. Suppose y = 5*a - 34. What is the units digit of a? 9 Suppose -5*u + m = -21, -18 = -3*u + u - 2*m. Suppose -u*k = 3*p, -3*k + 22 = -4*p + 51. What is the tens digit of 12 + 3 - k - 1? 1 Let m(n) = 2*n**3 + 1. Let b be m(-2). Let c = 22 + b. Let y = -1 + c. What is the units digit of y? 6 Suppose -2 = 3*m + 10, -p - 65 = -3*m. Let n = -41 - p. Suppose 4*q - n = -4. What is the units digit of q? 8 Suppose 0 = -18*r + 19*r - 11. Let n = r + 17. What is the tens digit of n? 2 Let t = 11 + -2. What is the units digit of (-3)/(-2) + t/(-18)? 1 What is the units digit of (-18)/42 + (-45)/(-7)? 6 Suppose a - 2*a = -5. Suppose -2*r + 9 = 4*i - a, -2*i = -r + 15. Let b = r + -7. What is the units digit of b? 4 Suppose -13 = z - 4*f, 4*z = z + 4*f + 1. Suppose z = c + 4*s, 4*c + 5*s = 39 - 0. What is the units digit of c? 1 Let h = -3 + 1. Let q be (3 - 4)*h/2. Suppose q = 5*g - 4. What is the units digit of g? 1 Suppose -r + j = 2*r + 14, 0 = -5*r + 5*j - 10. What is the units digit of 6 + (-3)/(r/(-2))? 5 Let s(a) = -a**2 - 6*a + 5. Let b(g) = g**2 + 4*g - 3. Let h(k) = 8*b(k) + 5*s(k). Suppose 0 = 4*z + 3 + 5. What is the units digit of h(z)? 9 Let u(v) = 15*v**2 - v - 1. Let a be u(-1). Suppose -4*m + 7*m = a. What is the units digit of m? 5 Let u be 5 - ((-3)/(-3) - 0). Suppose -u = -a - 1. What is the units digit of a? 3 Suppose 4*g + 16 = 0, w = g + 2*g + 21. What is the units digit of w? 9 What is the hundreds digit of -1*(-2 - -1) - -198? 1 Suppose 5*g - 133 + 18 = 0. What is the tens digit of g? 2 What is the units digit of ((-1946)/(-5) - -1) + (-18)/90? 0 Let x(z) = 5*z**2 + 38*z - 12. What is the tens digit of x(-9)? 5 Suppose -4*g + 7 = -13. Let f = g + -4. What is the units digit of f? 1 Suppose -343 - 695 = -6*j. What is the hundreds digit of j? 1 Suppose 2*b = 5*h - 27, 15 = 4*h - b + 6*b. Suppose 0 = -h*y + 26 + 4. What is the units digit of y? 6 Let q = -12 - -20. Let a(s) = -s**3 + 8*s**2 + 7. What is the units digit of a(q)? 7 Suppose 34*r - 316 = 30*r. What is the tens digit of r? 7 Suppose 4*r = 14*r - 1080. What is the units digit of r? 8 Suppose 3*z = -3*c + c + 157, -162 = -2*c + 2*z. Suppose -5*t + c = 5*i, -2*t + i + 18 = 1. What is the units digit of t? 1 Let i = -85 + 121. Let z = -9 + i. What is the units digit of z? 7 Let x be (-58)/(-4) - (-3)/(-6). Let u be 38/x - (-4)/14. Suppose -5*s = -7 + 2, a = 4*s - u. What is the units digit of a? 1 Let f = -9 - -12. Suppose -5*x = 4*d - 55, -f*d + 2*x - 7*x + 40 = 0. What is the units digit of d? 5 Let q = -1 + 4. Sup
{ "pile_set_name": "DM Mathematics" }
3 + 11*d**3. 3*d**3 Collect the terms in 606*y**2 - 4 + 4 - 576*y**2. 30*y**2 Collect the terms in 3717*w + 7312 + 2912*w - 7316. 6629*w - 4 Collect the terms in -3*s**2 + 3464*s**3 + 3800*s**3 + 57*s**3. 7321*s**3 - 3*s**2 Collect the terms in 2123*u**2 - 4199*u**2 + 2096*u**2. 20*u**2 Collect the terms in -107*m - 260*m + 20*m. -347*m Collect the terms in 1628488*x - 1628488*x + 3*x**3. 3*x**3 Collect the terms in 924*f**3 + 1661*f**2 - 4967*f**2 + 1656*f**2 + 1650*f**2. 924*f**3 Collect the terms in 0*g + 5 + 17 - 16 - 11 + 3*g. 3*g - 5 Collect the terms in -388*f**2 - 1324 + 1325 + 366*f**2. -22*f**2 + 1 Collect the terms in n**2 - 3718 + 3183 + 2*n**2. 3*n**2 - 535 Collect the terms in -6054*o**3 - 6052*o**3 - 6056*o**3 + 18164*o**3. 2*o**3 Collect the terms in 105*m**3 + 78*m**3 + 59*m**3 + 132*m**3. 374*m**3 Collect the terms in -10*c**3 + 19*c**2 + 16*c**2 - 19*c**2 - 16*c**2. -10*c**3 Collect the terms in 299*f**2 + 308*f**2 + 162*f**3 + 314*f**2 - 921*f**2. 162*f**3 Collect the terms in 17*g**2 + 5*g**2 + g - 8*g**2 + 43*g**2 - 2*g. 57*g**2 - g Collect the terms in -16572*j + 16571*j + 105 - 105. -j Collect the terms in -173*m - 159206 + 177*m + 159206. 4*m Collect the terms in -412 - 2*u - 334 + 676. -2*u - 70 Collect the terms in 130*q - 3 + 5*q - 1 - 1 + 3. 135*q - 2 Collect the terms in 41*p**3 - 28*p + 28*p. 41*p**3 Collect the terms in 112100 - 112100 - 8*j. -8*j Collect the terms in 9 + 9*p**2 + 622 - 631. 9*p**2 Collect the terms in -16*m - 543*m**3 - 14*m + 30*m. -543*m**3 Collect the terms in 87*t**2 + 85*t**2 + 85*t**2 - 2*t - 258*t**2. -t**2 - 2*t Collect the terms in -6*b**2 - 6*b**2 - 7*b**2 + 7*b**2 + 0*b**2 - b**2. -13*b**2 Collect the terms in -5*p + 31 + 78 + 3*p - 13. -2*p + 96 Collect the terms in 989*i**2 - 2777*i**2 + 930*i**2 + 964*i**2. 106*i**2 Collect the terms in 688291 - 688291 + 635*s**2 + 2*s. 635*s**2 + 2*s Collect the terms in -2*o**2 + 5*o + 3 + 18*o + 340*o + 3*o**2. o**2 + 363*o + 3 Collect the terms in -118*r - 119*r - 119*r + 455*r - 100*r. -r Collect the terms in 157*m**3 + 203*m**3 - 395*m**3. -35*m**3 Collect the terms in -560*l**2 + 58*l - 41*l - 17*l. -560*l**2 Collect the terms in -2290*z + 9 - 9 + 2356*z. 66*z Collect the terms in -83*a**2 - 325*a + 34*a**2 + 649*a + 41*a**2 - 324*a. -8*a**2 Collect the terms in -168*r**3 + 407*r**3 - 49*r**3 + 2 - 163*r**3. 27*r**3 + 2 Collect the terms in -3191*d**2 - 10*d - 37*d + 3189*d**2. -2*d**2 - 47*d Collect the terms in 14226263967*h - 14226263967*h + 14*h**2. 14*h**2 Collect the terms in -136*p**2 - 145*p**2 + 424*p**2 + 6*p**3 - 143*p**2. 6*p**3 Collect the terms in 16 - 21 + 2*i**3 - 5*i**3 + 0. -3*i**3 - 5 Collect the terms in -699*w - 399*w - 2*w**2 + 554*w. -2*w**2 - 544*w Collect the terms in -2*m + 32*m + m - 445 + 210 + 235. 31*m Collect the terms in 456*r + 2 - 457*r - 9 - 20. -r - 27 Collect the terms in -13 + 20*r**3 + 13 + 63*r**3. 83*r**3 Collect the terms in -1 - 100*l + 17*l + 1. -83*l Collect the terms in -428603707*f + 428603707*f - 3*f**3. -3*f**3 Collect the terms in 20301*s - 10148*s - 79*s**2 - 10153*s - 19*s**2. -98*s**2 Collect the terms in 22*l - 19*l - 3*l - 21*l - 6*l. -27*l Collect the terms in -26687*c + 53366*c - 26672*c. 7*c Collect the terms in -1086*n**2 + 18*n**3 + 2057*n**2 - 971*n**2. 18*n**3 Collect the terms in -5 - 407*g**3 - 277*g**3 + 2*g - 132*g**3 + 2. -816*g**3 + 2*g - 3 Collect the terms in 1560*p - 521*p - 518*p + 1 - 518*p. 3*p + 1 Collect the terms in 3*n**2 - 4*n**2 - 31*n**3 - 3 + n**2 + 4. -31*n**3 + 1 Collect the terms in 1358*w + 4635*w - 1007*w. 4986*w Collect the terms in -2*w**3 + 1255 - 2419 - 5*w**2 + 5*w**2 + 1172. -2*w**3 + 8 Collect the terms in 24*j + 20*j - 51*j - 26. -7*j - 26 Collect the terms in 237*x**2 - 239*x**2 - 500 + 164 + 172 + 164. -2*x**2 Collect the terms in -980 + 223*l + 980. 223*l Collect the terms in -187*z**3 - 20*z - 17*z - 22*z + 59*z. -187*z**3 Collect the terms in -43122*l**3 + 3*l**2 + 3*l**2 - 6*l**2. -43122*l**3 Collect the terms in 6*w**3 + 87*w - 48*w - 43*w + 0*w**3. 6*w**3 - 4*w Collect the terms in 716*y**2 + 1109*y**2 - 167*y**2. 1658*y**2 Collect the terms in -86*o**3 + o - 5*o + 4*o + 93*o**3. 7*o**3 Collect the terms in 869*h**3 + 586*h**3 + 2838*h**3. 4293*h**3 Collect the terms in -5*q**3 + 0*q**3 - 5*q**3 - 408*q**2. -10*q**3 - 408*q**2 Collect the terms in -13072 + 2*y**3 + 6467 + 6605. 2*y**3 Collect the terms in -3*c**2 + 46*c**2 + 0*c**2 + 60*c**2 + 8*c**2. 111*c**2 Collect the terms in 11*q**2 - 15*q**2 + 93 + 235. -4*q**2 + 328 Collect the terms in 3*h - h - 182020*h**3 - 2*h + 182372*h**3. 352*h**3 Collect the terms in -18*u + 2*u - 18*u**2 - 18*u + 33*u. -18*u**2 - u Collect the terms in 428449*c**3 - 856906*c**3 + 428452*c**3. -5*c**3 Collect the terms in v**2 - 2*v + 3*v**2 - 27*v**2 - 23*v + 21*v. -23*v**2 - 4*v Collect the terms in -17744*b**2 + 314273*b**2 + 55224*b**2. 351753*b**2 Collect the terms in 25*g**2 + 395*g**3 - 394*g**3 - 841*g**2. g**3 - 816*g**2 Collect the terms in 259 - 73 + 48*j - 98 - 88. 48*j Collect the terms in -3228210*i + 80*i**2 - 168*i**2 + 3228210*i + 86*i**2. -2*i**2 Collect the terms in -5 + 20 - 15 + 32*r. 32*r Collect the terms in 19*x - 4*x - 23*x. -8*x Collect the terms in 142*o**2 - 3*o + 1271*o**2 + 5*o + 614*o**2. 2027*o**2 + 2*o Collect the terms in -9*q**2 + 9*q**2 - 17*q - 5 - 280*q**3. -280*q**3 - 17*q - 5 Collect the terms in -2441*v**2 + 1220*v**2 + 15*v - 15*v + 23*v + 1222*v**2. v**2 + 23*v Collect the terms in 82532*q**3 + 1 - 1 - 80418*q**3. 2114*q**3 Collect the terms in -49*m + 50*m + 39*m + 38*m - 76*m. 2*m Collect the terms in -45*j - 49*j + 179*j - 43*j - 40*j. 2*j Collect the terms in 27*m - 8*m - 18*m + 7*m - 8*m + 4*m**2. 4*m**2 Collect the terms in -24 + 13 - 93*a**2 - 3*a + 5*a. -93*a**2 + 2*a - 11 Collect the terms in 0*p**2 - p**2 - 17 + 2*p - 3*p - 8*p. -p**2 - 9*p - 17 Collect the terms in -103*n - 7*n**3 + 92*n + 2*n + 9*n + 2*n**3. -5*n**3 Collect the terms in 14*n**2 - 12*n**2 + 33*n**2 + n**2. 36*n**2 Collect the terms in -15 + 32 - 17 - 310*r**2 + 288*r**2. -22*r**2 Collect the terms in 10379*c + 7 - 5 + 2 + 3. 10379*c + 7 Collect the terms in 94 + 5705*s**2 - 94. 5705*s**2 Collect the terms in -w**2 + 3*w**3 - 204229 + w**2 + 204229. 3*w**3 Collect the terms in -21 + 2*p + 0 - 36 + 0*p. 2*p - 57 Collect the terms in -1 + 4228*q**2 + 1 + 0. 4228*q**2 Collect the terms in -212*t**2 + 12*t + 208*t**2 + 6*t - 18*t. -4*t**2 Collect the terms in -3081*r - 4562*r + 2727*r. -4916*r Collect the terms in 0*i - 7062 + 5494 + 2*i. 2*i - 1568 Collect the terms in 84*d + 5*d + 0*d + 194*d. 283*d Collect the terms in -4184*t**2 + 20*t - 34*t + 14*t. -4184*t**2 Collect the terms in 42*h**3 + 228895*h - 114452*h - 114443*h. 42*h**3 Collect the terms in -498*a**2 - 365*a**2 + 1394*a**2 - 376*a**2. 155*a**2 Collect the terms in -3 + 140*c**2 - 140*c**2 - 330*c**3. -330*c**3 - 3 Collect the terms in 574*i + 448*i + 532*i - 1418*i. 136*i Collect the terms in -152*a**3 - 73*a**3 - 40*a**3 - 34*a**3 - 8*a**3. -307*a**3 Collect the terms in -11848*i**3 - 114077*i**2 + 114077*i**2. -11848*i**3 Collect the terms in -5*b**2 + 39*b**2 + 250*b**2 + 199*b**2 + 72*b**2. 555*b**2 Collect the terms in -2351*p - 19 + 19. -2351*p Collect the terms in 6*f - 45*f + 14*f**2 + 27*f + 13*f. 14*f**2 + f Collect the terms in 757*m - 1510*m + 739*m. -14*m Collect the terms in -156*i + 455*i - 156*i - 142*i. i Collect the terms in 3715*i + 22*i**2 + 3535*i - 7250*i. 22*i**2 Collect the terms in -128517 - 2*u + 128517 + 14*u. 12*u Collect the terms in -51*d**2 - 4*d**2 - 52*d**2 + 18*d**2. -89*d**2 Collect the terms in 9*m - 615039 + 615039. 9*m Collect the terms in 3 - 5 + 2 - 54646*i. -54646*i Collect the terms in 606113 + 10*u - 303059 - 303054 - u. 9*u Collect the terms in -32*o**3 + 70*o**3 + 57*o**3 + 20*o**3. 115*o**3 Collect the terms in 121*j + 125*j + 338*j - 24*j. 560*j Collect the terms in 1 + 5 + 18*s**2 + 1 - 3. 18*s**2 + 4 Collect the terms in 525*n - 114*n - 154*n - 104*n - 101*n - 135*n. -83*n Collect the terms in -98*t**3 + 137*t**3 + 57*t**3 - 92*t**3. 4*t**3 Collect the terms in 20 - 1533*h**2 - 45 + 25. -1533*h**2 Collect the terms in -8254*v**3 + 16514*v**3 - 8258*v**3. 2*v**3 Collect the t
{ "pile_set_name": "DM Mathematics" }
**2 - 3*s**2 + 4*s**2. Give t(i(p)). 3*p**2 Let s(v) = -10*v**2 + 2*v**2 - 5*v**2. Suppose -2*m + 491 = 3*n - 1217, 0 = 4*m + 4. Let g(t) = -6*t**2 + 4*t**2 + 570 - n. Determine g(s(b)). -338*b**4 Suppose -2*d = t - 3 - 3, -d - 5*t = -21. Let f(g) = 1. Let o(l) = -5*l**2 + 3. Let k(a) = d*o(a) - 3*f(a). Let c(u) = u**2. What is k(c(n))? -5*n**4 Let b(u) = 3*u**2 - 197*u. Let a(q) = -3*q**2 - 2*q + 8. Let v(o) = 16*o**2 + 11*o - 44. Let r(h) = -11*a(h) - 2*v(h). What is b(r(k))? 3*k**4 - 197*k**2 Let u(w) = -w**2. Let h(f) = 96*f - 7. Let t(i) = -1394*i + 102. Let r(b) = -102*h(b) - 7*t(b). Give u(r(o)). -1156*o**2 Let g(q) = 4*q. Let u(v) be the first derivative of 5*v**2/2 + v + 107. Calculate u(g(x)). 20*x + 1 Let m(x) = 7*x. Let h = -1317 + 2531. Let k(j) = 1214 - h - j**2. Determine k(m(c)). -49*c**2 Let k(b) = 6*b + 3. Let s(f) = -1295*f. Calculate k(s(o)). -7770*o + 3 Let m(d) = 3*d. Let u(c) = -45064*c**2. Give u(m(i)). -405576*i**2 Let k(q) be the first derivative of -q**4/24 + 21*q**2/2 + 6. Let t(v) be the second derivative of k(v). Let w(g) = -3 + 2 + 1 + g. Determine w(t(p)). -p Let s be (-1)/2*4 - -12. Let w(m) = s*m + 26 - 26. Let l(y) = -3*y**2. Determine w(l(j)). -30*j**2 Let z(o) = o. Let f(m) = 25*m**2. Let k(g) = -4*g**2 + 2*g - 2. Let n(y) = y**2 - y + 1. Let l(b) = k(b) + 2*n(b). Let a(c) = 3*f(c) + 40*l(c). What is z(a(i))? -5*i**2 Let p(a) be the third derivative of a**5/60 + 28*a**2 + 2*a. Let f(g) = -2*g**2 + g. What is p(f(l))? 4*l**4 - 4*l**3 + l**2 Let t(m) = 1616*m. Let j(r) = -10*r**2. What is t(j(h))? -16160*h**2 Let q(m) = m. Let p(a) = 298*a**2 - 106*a**2 + 129*a**2. Determine p(q(z)). 321*z**2 Let g(h) = -1119421*h**2. Let l(a) = -6*a**2. Give l(g(f)). -7518620251446*f**4 Let k(x) = -27*x**2 - 22*x**2 + 79*x**2 - 18*x**2. Let c(r) = 15*r**2. Calculate c(k(f)). 2160*f**4 Let o(h) = 7*h + 7*h + 7*h - 32*h + 4*h. Let l(m) = -3*m**2. What is o(l(s))? 21*s**2 Let o(z) = -463*z. Let a(u) = 130*u - 271*u + 140*u. What is a(o(t))? 463*t Let v(b) = 4*b. Let f(y) be the third derivative of 0*y**3 + 5/12*y**4 + 0*y + 10*y**2 + 0. Calculate v(f(d)). 40*d Let b be -45*-122*((-11)/(-5) - 2). Let y(g) = -1098*g + 3*g**2 + b*g. Let i(j) be the second derivative of -j**4/12 - j. What is i(y(m))? -9*m**4 Let v(t) = -3*t. Let n(h) = -4*h**2 - 2*h + 714. Determine n(v(c)). -36*c**2 + 6*c + 714 Let f(a) = 24*a**2. Let h(g) = -554*g**2 - g. Give h(f(s)). -319104*s**4 - 24*s**2 Let p(t) = 457*t - 1. Let g(b) = -b**2 + 125. Determine p(g(o)). -457*o**2 + 57124 Let o(z) = -4*z - 1. Let t(h) = -252*h - 60. Let a(p) = -60*o(p) + t(p). Let k(s) = 8*s**2. Give a(k(u)). -96*u**2 Let z(g) = -13*g. Let m(o) = -440*o**2. Give m(z(x)). -74360*x**2 Let x = 9 + -1. Suppose 0*g = -4*g. Let h(f) = g*f + 7*f - x*f + 2*f. Let j(k) = -5*k**2. Calculate j(h(m)). -5*m**2 Let r(w) = 0*w**2 - 2*w**2 - 2*w**2 + 0*w**2. Let v(s) = -27*s. Give r(v(c)). -2916*c**2 Suppose 7*v - 6*v = 2*p + 21, -5*v = p - 116. Suppose 2*s - 28 = -0*s. Let f(z) = 9*z - v*z + s*z + 5*z**2. Let r(l) = -2*l. Calculate r(f(t)). -10*t**2 Let f(z) = -13*z. Let w(h) = -7*h**2 + 4*h + 4. Let b(l) = 5*l**2 - 3*l - 3. Let g(r) = -4*b(r) - 3*w(r). Determine g(f(i)). 169*i**2 Let f(h) = -5*h. Suppose -3*n - 6*g = -10*g - 4, -14 = -4*n + g. Let i(u) be the third derivative of -1/24*u**n - 4*u**2 + 0*u**3 + 0*u + 0. Determine f(i(v)). 5*v Let m(s) = -1875*s. Let b(o) = 7*o**2. Determine m(b(t)). -13125*t**2 Let m(b) = -12*b. Let p(x) = -126959*x. What is m(p(s))? 1523508*s Let n(t) = -10*t. Let y(p) = -2*p + 69. Calculate n(y(b)). 20*b - 690 Let u(v) = -3*v - 2*v + 4*v. Let b(w) = 2*w - 2. Let k(q) = -6*q + 12. Let d(l) = -12*b(l) - 2*k(l). What is u(d(h))? 12*h Let y(s) = 2*s**2. Let h(k) = -6*k**2 + 324*k - 8. Determine h(y(u)). -24*u**4 + 648*u**2 - 8 Let a(n) = 2*n**2. Let c(j) = -7*j + 216. Give a(c(h)). 98*h**2 - 6048*h + 93312 Let m(l) = -46*l**2. Let k(i) = 3*i**2 - 4*i - 4. Let n(t) = -21*t**2 + 27*t + 27. Let o(u) = 27*k(u) + 4*n(u). Give m(o(y)). -414*y**4 Let o(a) = 3*a - 8*a + 4*a. Let z(s) be the third derivative of s**5/12 + s**2 + 11. What is o(z(b))? -5*b**2 Let s be 1*(-1 + 2 - -1). Let f(i) = 22 - 11 - 10*i**s - 11. Let b(x) = 3*x**2. Give b(f(n)). 300*n**4 Let z(j) = -10*j**2 - 1 + 1. Let u(v) = 2*v - 4*v - 138 + 138. Determine z(u(k)). -40*k**2 Let x(i) = 279744*i**2. Let v(z) = -2*z**2. Calculate x(v(r)). 1118976*r**4 Let d(c) = -3*c**2. Let r(h) = -314*h + 101. Determine r(d(f)). 942*f**2 + 101 Let l(g) = 4*g. Let s(o) = -8*o**2 - 5*o + 5. Let q(w) = -846*w**2 - 29*w + 813*w**2 + 21 + 8*w. Let r(b) = 5*q(b) - 21*s(b). Give r(l(i)). 48*i**2 Let s(g) = -8*g**2. Let r(a) = -3759*a**2 - 9*a - 2. What is r(s(b))? -240576*b**4 + 72*b**2 - 2 Let u(y) = 10*y. Let h be 2/(-9) + (-2300)/(-225). Let c(w) = 14*w - 5*w - h*w. Determine c(u(l)). -10*l Let k(n) = -n + 1. Let w(d) = 8*d - 2. Let v(j) = -k(j) - w(j). Let l(m) = m - 1. Let u(q) = -l(q) - v(q). Let f(t) = t**2. Give f(u(o)). 36*o**2 Let s(d) = 2*d. Let k(z) = 4693*z**2. Calculate s(k(l)). 9386*l**2 Let y(c) be the third derivative of -29*c**5/60 + c**2. Let k(x) be the third derivative of x**5/20 + 232*x**2. Determine k(y(l)). 2523*l**4 Let x(p) = 11712*p**2. Let r(k) = -6*k**2. Calculate x(r(d)). 421632*d**4 Suppose f = 3*f - 52. Let t(x) = f*x**2 - 54*x**2 + 27*x**2. Let g(l) = -21*l**2. Give g(t(d)). -21*d**4 Let p(t) = -4*t**2. Let j(g) = -10*g. Suppose 104 = -2*n + 114. Let c(s) = 0*s + 3*s - 3*s + 4*s. Let y(z) = n*j(z) + 12*c(z). Give p(y(u)). -16*u**2 Let j(g) = 2*g**2. Let s(c) = 2350*c**2 + 175. Let y(x) = 27*x**2 + 2. Let o(l) = 2*s(l) - 175*y(l). Determine o(j(n)). -100*n**4 Let k(n) = 5*n. Let c(t) = -9063*t. Give c(k(f)). -45315*f Let d(j) be the third derivative of j**6/360 + 13*j**4/24 - 6*j**2. Let c(m) be the second derivative of d(m). Let b(o) = 21*o**2. Give b(c(r)). 84*r**2 Let z(t) = -85405*t. Let d(p) = 7*p. Give d(z(l)). -597835*l Let l(o) = -5*o. Suppose -i = 5 - 7. Let a be 7 - 6/i*1. Let q(m) = m + 0*m - a*m. What is q(l(p))? 15*p Let u(i) = -2*i. Let w(p) = 468307*p. What is w(u(o))? -936614*o Let s(h) be the second derivative of h**3/6 - 84*h. Let m(q) = q - 31. What is s(m(o))? o - 31 Let a(c) = -3*c**2. Let d(b) = -1598*b - 78. Determine d(a(r)). 4794*r**2 - 78 Let p(z) = 5811117*z**2. Let w(k) = -2*k**2. Give p(w(y)). 23244468*y**4 Let r(j) = 239*j - 515*j + 269*j. Let k(l) = -7*l - 3. Calculate r(k(t)). 49*t + 21 Let f(g) = g. Suppose -11*h = h - 21096. Let l(t) = -1758 + h - 2*t. Calculate f(l(m)). -2*m Let d(y) = y. Let h(b) = -18*b + 15. Suppose 0 = -3*s - 0*s + 6. Let m(n) = n - 1. Let p(w) = s*h(w) + 30*m(w). Determine d(p(z)). -6*z Let q(l) = -2*l. Let i(x) = -73764 + 26*x + 73764. Give q(i(n)). -52*n Let p(x) = 0*x - x - 3*x + 3*x. Let z(j) = -2*j**2 + 32*j + 38*j - 70*j. Give p(z(r)). 2*r**2 Let d(b) be the second derivative of 2 + 6*b + 1/6*b**3 + 0*b**2. Let v(o) = 2*o - 4. Give d(v(c)). 2*c - 4 Let w(x) = -4*x**2. Let v(z) = -5*z - 6*z + 5*z - z. Calculate v(w(q)). 28*q**2 Let g(q) = -1286*q**2. Let t(d) = -25*d**2. Calculate t(g(a)). -41344900*a**4 Let s(f) = 43105*f. Let m(j) = -12*j**2. Determine s(m(o)). -517260*o**2 Let h be (-6 - 10)/(2/(-4)). Suppose 0 = 5*c - c - h. Let r(p) = -34 + 34 + c*p. Let k(y) = -y. What is k(r(n))? -8*n Let j = -32 + 35. Let z(s) = 4*s + 3. Let h(q) = -3*q - 2. Let l(f) = j*h(f) + 2*z(f). Let i(t) = -8 - t + 8. Give i(l(b)). b Let r(f) = -4*f. Let v(n) = -18590*n. Give v(r(t)). 74360*t Let q(k) = 2*k**2. Let i(s) = -3*s - 3. Let r(n) = -n - 1. Let b(l) = -2*i(l) + 5*r(l). Let x(z) = -17. Let t(u) = -b(u) + x(u). Give q(t(y)). 2*y**2 + 72*y + 648 Let y(r) = 2*r. Let l(d) = -601*d**2 - 526*d**2 + 98*d**2 - 16*d**2 - 351*d**2. What is y(l(p))? -2792*p**2 Let b(o) = -7*o**2 + 4*o + 4. Let h(g) = -6*g**2 + 3*g + 3. Let t(u) = 3*b(u) - 4*h(u). Let r(c) be the first derivative of 7*c**2/2 - 31. Calculate r(t(d)). 21*d**2 Let b(c) be the third derivative of -c**5/20 - 8*c**2 - 12*c + 2. Let q(u) be the first derivative of -3*u**2/2 - 2. Calculate b(q(a)). -27*a**2 Let i(r) = -1. Let k(p) = -2*p**2 - 4. Let d(s) = 4*i(s) - k(s). Let w(n) be the second derivative of 2/3*n**3 + 0 + 0*n**2 - 10*n. Calculate d(w(c)). 32*c**2 Let y(t) = t**2 + 6. Let x
{ "pile_set_name": "DM Mathematics" }
+ h*t**2 and give o. 237 Express (1 - 3 + 4)*(-d**2 + 2*d**2 + 0*d**2) + 10*d**2 - 61*d**2 - 51*d**2 + 2*d**2 + 7 - 4 + 0 in the form o*d**2 + k*d + z and give o. -98 Rearrange -206 - 11*h - 208 + 408 to s + r*h and give r. -11 Rearrange -468*i**3 - 482*i**3 - i**4 - 355*i**3 - 2*i**2 to u*i + b*i**3 + t*i**2 + f + p*i**4 and give t. -2 Rearrange (0*i + 2*i - i)*(-215951 + i + i - 165*i**2 + 2*i**3 + 215948) to v*i**3 + y + u*i**2 + l*i + t*i**4 and give t. 2 Express 50*b**4 + 2*b - 20 - 20 + 60 - 20 + 2*b**3 in the form a*b**3 + r*b + x*b**4 + n + i*b**2 and give r. 2 Rearrange (0 + 1 + 0)*(d + 2*d - 2*d)*(-2 + 1 + 2)*(102 - 102 - 16*d)*(0 + 2 + 2)*(2 - 2*d - 2) to the form c*d**2 + k*d**3 + g + f*d and give k. 128 Rearrange -5*p**2 + 2 + 0*p**2 + 0*p**3 - p**3 + 5*p**3 to the form l*p + u*p**3 + g*p**2 + w and give u. 4 Express 61*p**2 - 2 - 107*p**3 - 23*p**2 - 22*p**2 - 11*p**2 in the form f*p + k*p**3 + d*p**2 + i and give i. -2 Express 91*f + 39*f + 35*f - 22*f in the form s + d*f and give s. 0 Rearrange -34*q + 112568 - 112568 - 3*q**2 to a*q + c + b*q**2 and give b. -3 Rearrange -470*v + 78*v - 41*v - 34*v to the form b*v + q and give b. -467 Rearrange (-22 + 22 - 13*a)*(-3*a**2 + 2*a**2 - a**2)*(-a - 24*a + 3*a - 21*a) to x*a**2 + q*a**3 + b*a + c*a**4 + y and give c. -1118 Rearrange (0*b + 0*b - b)*(2 + 8 - 1)*(29*b**2 - 116*b**2 + 46*b**2) to o*b**3 + c*b + d + g*b**2 and give o. 369 Rearrange -47*k - 16*k + 33*k - 19*k - 113*k to the form h*k + s and give h. -162 Express (2 - 5 + 4)*(0*k + 6*k + 8*k) + (-2 + 0 + 1)*(434 - 434 - 29*k) in the form u + q*k and give q. 43 Express -8*k**4 - 2 - k**2 + k + 366*k**3 + 355*k**3 - 722*k**3 in the form d*k**2 + j*k**3 + u*k + c*k**4 + r and give c. -8 Express (27 - 5 + 31)*(-1 - 2 + 2*w + 1) in the form k + d*w and give k. -106 Rearrange 4 + 763*n + 1 - 7*n**2 - 765*n to the form j*n + q*n**2 + f and give j. -2 Express (-22*p - 9*p + 2*p)*(5 - 2 - 2) + 1 + 0 + 5 + 24*p - 6 in the form v*p + k and give v. -5 Express 9*j**2 - 37*j + 0*j**2 + 3*j**2 + 4*j as n*j + m + f*j**2 and give n. -33 Express -4 - 5*t + 8*t + 2 + 10 - 6*t as r*t + f and give r. -3 Rearrange (-126 + 63 - 90)*(-2*b - 2*b + 5*b) to the form k + w*b and give w. -153 Express 31 - 17 + 15*w + 10*w - 16 in the form q*w + g and give g. -2 Express (23*k - 25*k - 14*k)*(12 + 28*k - 12 + (1 - 3 + 3)*(-k + 0*k + 3*k)) as h + c*k + n*k**2 and give n. -480 Rearrange (-4 - 2 + 4)*(-1 + 1 + 2*a)*(0 + 4 - 3) + ((7 - 3 - 3)*(3 + 0 - 5) - 1 - 1 + 0)*(-13*a - 39*a + 94*a) to f + g*a and give g. -172 Express -40*g**3 - 6 + 17*g**3 + 5*g**3 + 11*g**3 + 2*g**2 in the form f*g + w*g**2 + s + v*g**3 and give s. -6 Express -2*n**2 + 20*n**2 - 23*n**2 + 40*n - 2 + 3 as a*n**2 + j*n + x and give j. 40 Express (0 - 3 + 1)*(-4*a - 2*a + 4*a) - 7332*a - 3 + 7702*a + 5 in the form w*a + c and give w. 374 Express -3*i**2 + i**3 - 3*i**2 + 7*i - 6*i**2 - 3*i**3 + 11*i**2 as u + j*i**2 + h*i**3 + o*i and give u. 0 Express (-62 + 62 + 9*n)*(1 - 3 - 3)*(0*n**2 - n**2 + 0*n**2) as w*n**3 + m*n + j + i*n**2 and give w. 45 Express (28*k + 3*k - 3*k)*(-2*k + 23*k - 4*k)*(0 + 0 - k) as f + n*k**2 + g*k + u*k**3 and give u. -476 Rearrange (-131 - 97 - 139)*(-4*n + 0*n + 2*n) to f*n + q and give f. 734 Express (-2*x + 1 - 1)*(171 + 183 - 18) as l + m*x and give m. -672 Rearrange -5*r + 12 - r**3 - 3*r**3 - r**2 + 2*r + 5*r**3 to the form p*r**2 + j*r + x + g*r**3 and give g. 1 Rearrange -11 - 2*g**2 + 35 - 19 + 15*g to the form a*g**2 + f*g + q and give q. 5 Express -2*o - 2*o**4 + 15*o**3 - 17*o**3 - 71 + 0*o**4 as h + c*o**4 + p*o**3 + v*o**2 + m*o and give p. -2 Rearrange -1059*a**2 + 465*a**2 + 461*a**2 to w + h*a + f*a**2 and give f. -133 Express 12*z - 28*z - 620*z as i*z + j and give i. -636 Rearrange 29*q - 989 + 161*q + 989 + 2*q**2 to the form z + j*q**2 + c*q and give c. 190 Express -9*q**3 + 68*q + 2*q**2 + 2*q**4 + 6*q**2 + 12*q**2 - 22*q**2 in the form l*q + h*q**3 + u + s*q**2 + c*q**4 and give c. 2 Express 11*z - 2*z**3 - 13*z + 5*z + 2 + 0 in the form f + d*z**3 + h*z + v*z**2 and give d. -2 Express -4 + 4 - 222*n + 315*n + 392*n in the form c + h*n and give h. 485 Rearrange 7*h**3 + 74*h**2 + 2*h**3 + h + 5*h**3 - 13*h**3 to q + m*h**3 + k*h + p*h**2 and give k. 1 Express -4*q + 3*q - 5*q + (0 + 2 - 4)*(-q + 4*q + 0*q) in the form m*q + o and give m. -12 Express (2 - 3 - 3)*(-211*m**3 + 218*m**3 + 827*m**3) as v*m + t*m**3 + y*m**2 + p and give t. -3336 Rearrange (2 - 8 - 7)*(2*w**3 - 4*w**3 + 3*w**3) + (-267 + 24*w + 267)*(-4*w**2 + 0*w**2 + 5*w**2) to k + h*w + y*w**3 + a*w**2 and give y. 11 Express -16383*c - 4*c**3 + 16380*c - c**4 - 14 + 3*c**3 in the form i*c**4 + y*c**2 + k*c**3 + s + t*c and give y. 0 Express 32*g**2 + 16*g**2 - 19*g**2 + (-2 - 2 + 5)*(g - g + 2*g)*(-10 + 10 - 5*g) as x + j*g + t*g**2 and give j. 0 Rearrange (-23 - 22 - 3)*(-10*x - 29 + 29) to j + l*x and give l. 480 Express n**3 - 9*n + 60*n**2 + 4*n - 57*n**2 + 3 as l*n + m*n**2 + h*n**3 + b and give m. 3 Rearrange -673 + 9*f - 3*f + 676 + 82*f to j + i*f and give i. 88 Rearrange -z**4 - z**2 + 0*z**2 - z**2 + (-3 + 3 + 1)*(108*z**4 + 53*z**4 + 62*z**4) to o*z**4 + i*z + d*z**2 + t*z**3 + g and give o. 222 Express (5 - 1 - 3)*(-3 - 2 - 3)*(-7 - 5*p + 7) in the form b*p + s and give s. 0 Express 6*f**2 + 3*f - f**3 - 2*f**4 + 6*f**3 - 12*f**2 - 3*f**3 in the form b*f**3 + t + l*f + y*f**4 + u*f**2 and give l. 3 Express 85*z**2 + 0*z - 1 + 55*z**2 - 43*z**2 + 0*z as u*z + d*z**2 + m and give d. 97 Express g - 132*g + 113*g + 217*g + 196*g in the form i*g + j and give i. 395 Rearrange (2*s + s + s)*(-4 + 25 - 2) + 0*s + 2*s - 4 - 4*s to the form w + z*s and give w. -4 Express 28*m**3 + 26 - 11*m**3 - 9*m**3 + 167 - 6*m**3 as x + l*m**3 + h*m**2 + f*m and give x. 193 Express (-y - 3*y + 2*y)*(-707*y**2 - 439*y + 439*y) in the form o + l*y**3 + a*y**2 + s*y and give l. 1414 Express -2*g - 9*g**3 - 3 - 29*g**2 - 19*g**2 + 45*g**2 as q*g + d + u*g**3 + l*g**2 and give u. -9 Rearrange (8*t + 13*t + 0*t)*(-3 + 11 + 4) + 0*t - 2*t + 0*t to y + h*t and give h. 250 Express -2*c**4 - 2*c**2 + c**3 - 9*c + 6*c**3 - 8*c**3 as s*c + n*c**2 + h*c**3 + a + m*c**4 and give n. -2 Rearrange -2*q**2 - 4 - 4*q**2 - 30*q + 87*q + q**2 + 6 to the form h + f*q + y*q**2 and give f. 57 Express (-m + 4 - 4)*(0*m - m + 2*m) - 77*m**2 + 19*m**2 + 22*m**2 in the form a + c*m + g*m**2 and give g. -37 Rearrange (7*k**2 - 38*k**3 - 3*k**2 - 7*k**2)*(2*k - 6*k - 2 + k) to the form q + h*k + l*k**3 + z*k**4 + y*k**2 and give z. 114 Rearrange (1 + 5 - 4)*(0 + 0 + 2*b) + (-1 + 4 - 5)*(2*b - b + b) + 3*b + b - 5*b to x + o*b and give o. -1 Express -2*o + 3*o - o - 200*o**2 - 150*o**2 in the form q*o + f*o**2 + b and give f. -350 Express -6*j + 97*j**2 + 3*j + 0*j**2 + 163*j**2 - 64*j**2 as f*j + c + v*j**2 and give f. -3 Rearrange 238*n**3 + 17*n**2 - 241*n**3 - 17*n**2 - 4 to the form p*n + q + i*n**3 + c*n**2 and give i. -3 Express (-2*d + 6*d - 3*d)*(-4 + 1 + 4)*(4*d - 3*d - 2*d + (2 + 2 + 0)*(4*d - 6*d + 3*d)*(-2 + 4 + 3)) as u*d**2 + a*d + p and give u. 19 Rearrange 2*i - 2 + 2 + (-4 + 4 - i)*(4 + 10 + 3) - 10*i - i - 8*i to f + y*i and give y. -34 Express ((0 + 0 + 2)*(3*j - 3*j - 2*j) + 2 - 2*j - 2)*(5 - 4 - 3 + (3 + 23 - 12)*(-2 - 3 + 1)) as u + d*j and give u. 0 Rearrange ((2 - 5 + 2)*(-2*p - 2*p + 3*p) - 3*p + 0*p + 4*p)*(-775*p + 1242*p + 1509*p) to the form o + v*p**2 + q*p and give v. 3952 Rearrange 48*n**3 + n**4 - 3*n + 0*n**4 - 8 - 45*n**3 to the form j*n**2 + q*n**4 + l + s*n**3 + x*n and give x. -3 Express 7*v**3 - 113 - 8*v**3 + 23 as y + p*v**2 + x*v + n*v**3 and give x. 0 Rearrange (0*a + 0*a - 2*a)*(-3 + 0 + 4 + (-3 - 1 + 3)*(-5 + 3 + 0)) - a + a - 3*a to y*a + z and give y. -9 Express -182*d + 9 - 20 + 11 as a*d + s and give a. -182 Rearrange 2*y**3 - y**3 + 0*y**3 - 17*y + 5*y**3 to the form t*y**2 + v*y**3 + m + n*y and give v. 6 Express -89 - 87 + 176 - 3*c**3 - 8*c in the form q*c**3 + t + r*c + a*c**2 and give r. -8 Rearrange -83 + 8*c + 44 + 4*c + 42 to w*c + f and give f. 3 Express 68 - 253*f + 53*f - 134 + 69 as w + v*f and give v. -200 Rearrange (-21 - 4 - 35*j + 33*j)*(6*j**2 - 13 + 13) to v*j**3 + p*j**2 + z*j + x and give p. -150 Express 111 - 1633*b + 814*b + 809*b as
{ "pile_set_name": "DM Mathematics" }
-19 Rearrange -239 - 2*x**4 + 0*x**4 + 3*x - 5*x**3 + 240 + x**2 + 4*x**3 to the form f*x**4 + o*x**3 + b*x + a*x**2 + l and give f. -2 Express -4 - i**2 + 4 - 43 + 43 + 11*i**2 + (-4*i + 2*i + i)*(i + 2*i - 2*i) in the form q*i + r*i**2 + b and give q. 0 Rearrange 2*r**3 + 4*r**4 - 8*r**4 + 9*r**2 + 5*r**4 - 3 + 4 to n*r**2 + v*r**3 + l*r + b + i*r**4 and give i. 1 Express (-9*g**3 + 0*g + g + 247*g**2 - 241*g**2)*(-4 + 1 + 1)*(1 + 1 + 0) as y*g**2 + x*g**3 + m*g + w and give x. 36 Rearrange 4*z**3 - 3*z**3 + 8*z - 46*z**2 + 47*z**2 + z**3 to y*z**3 + a + v*z**2 + o*z and give o. 8 Express 6 - 2 - 2*h**4 + 0*h**2 - 2 - 8*h**2 as s*h**2 + l + u*h + i*h**4 + t*h**3 and give i. -2 Rearrange (-4*l + l + 4*l + (1 - 3 + 1)*(6*l - l - 3*l) + 2*l + 4*l - 4*l)*(4*l - 5*l + 2*l) - l**2 + 0*l**2 + 7*l**2 to q*l**2 + m + y*l and give q. 7 Rearrange -12*t + 15*t**3 + 13*t - 3*t**3 to the form k*t**3 + w*t + s*t**2 + h and give w. 1 Rearrange -394*q + 779*q - 398*q to the form f + u*q and give u. -13 Rearrange 12*h - 12*h - 11*h - 20*h to the form o + n*h and give n. -31 Rearrange 6*v + 2 + 2*v**2 - 7*v - 3 - v**3 to the form n*v**3 + w + d*v + g*v**2 and give w. -1 Express -9*g + 3*g - 8*g + (-2 + 3 + 0)*(3 - 3 + g) + 0*g + g + g as a + i*g and give i. -11 Express -78*j + 0*j**2 + j**2 + 0*j**2 as t*j + w*j**2 + c and give t. -78 Rearrange 17*k**2 + 0*k + k - k to n*k**2 + b*k + l and give b. 0 Rearrange 3 - 4*r - 6*r**3 - 1 + 2*r - 2*r**4 + r**3 to the form l*r**3 + h + k*r**2 + o*r**4 + j*r and give j. -2 Rearrange 2 + 2 + u + 2*u**2 - 9 to the form q*u**2 + d*u + z and give d. 1 Rearrange -2*p**4 - 5*p**4 + p**4 + 4*p**4 - 4 - 2*p**2 to the form s*p**2 + j*p**3 + u + d*p**4 + l*p and give u. -4 Express -44 + 10*r**2 + 26 - 3*r**3 + 20 as v*r**2 + j*r**3 + c + h*r and give j. -3 Rearrange 7*o - 14*o + 2*o to s*o + r and give s. -5 Rearrange (-2*o**2 - 5*o**2 + 8*o**2)*(5 - 2 + 1) to l + u*o**2 + q*o and give l. 0 Rearrange (-32 - 24 + 23)*(-2*q**2 + 2*q**2 - q**2)*(-5*q**2 + 4*q**2 + 0*q**2) to the form r*q**3 + v + b*q + m*q**2 + g*q**4 and give g. -33 Express 0*w**4 - w**4 + 3*w**4 + (-5*w + 2*w + 0*w)*(w**3 + 2*w**3 + 3*w**3) in the form n*w + y*w**3 + d + a*w**2 + z*w**4 and give z. -16 Express (0*h - 4*h + 8*h)*(-h + 0 + 0) - 1 + 0 + 2 + 2*h**2 as y + u*h**2 + s*h and give y. 1 Express -3*j + 0*j - 64 - 1 + 4*j as l*j + u and give l. 1 Express -2*y**3 + y**4 + 16 - 7 + 3*y**2 - 6 as g + h*y**3 + c*y**4 + b*y + d*y**2 and give g. 3 Rearrange 5*c - 9*c - 3*c to the form n + g*c and give g. -7 Rearrange 0 + 2*f**2 + 2*f**3 - f**2 + f**2 - 5 to the form o*f**2 + j*f + z + q*f**3 and give q. 2 Express -4*m - 27 + 48 - 23 + 2*m**2 as x*m**2 + h + d*m and give d. -4 Rearrange -2*q**3 + q**3 + 3*q**3 - 2*q**3 - 5*q**3 + 6*q**3 + (2*q + 3*q - 3*q)*(-2*q - 2*q**2 + 2*q) to the form d + i*q + v*q**3 + m*q**2 and give v. -3 Express 2 - 8*s**2 - 9 - 48*s**2 + 5 as k + g*s**2 + j*s and give j. 0 Rearrange 21 - 20 + 6*x**2 - 18*x**2 to the form d*x + w*x**2 + n and give n. 1 Express 4*y + y**3 - 2*y**2 - 5 + 0 + 6 as p*y**3 + x*y**2 + m*y + i and give x. -2 Rearrange -14*t**2 - 9*t**2 + 7*t - 7*t to q*t + u + n*t**2 and give n. -23 Express (-4 + 4 - 3*l)*(-4*l**2 + l**2 + 2*l**2)*((-2*l + 1 - 1)*(4 - 2 - 3) + 0*l + 2*l + l) as k*l**4 + i + w*l + x*l**3 + o*l**2 and give x. 0 Rearrange -184*x + 2*x**3 - 93*x**2 + 184*x to the form a*x**2 + q + m*x + k*x**3 and give k. 2 Rearrange 3*y + 4 + 3*y + 4*y**2 - 6*y to the form j*y**2 + v*y + o and give o. 4 Express -b**2 + 48*b - 2 + b**3 - b**2 - 47*b in the form i*b**3 + y*b**2 + l*b + w and give y. -2 Rearrange 1 - 2*o**4 + o**4 + 4*o**2 - 2*o**2 + 2*o**4 to q*o + a + m*o**2 + s*o**3 + h*o**4 and give h. 1 Express -41 - 11*q + 41 in the form o*q + n and give o. -11 Express -t**2 + 4 + 6 - 13 as w*t**2 + l*t + p and give w. -1 Rearrange 315*w**3 + 3*w - 317*w**3 + 1 - w + 4*w**4 + 2*w**2 to the form j*w**2 + z*w**4 + n*w**3 + v*w + k and give k. 1 Rearrange (-2 + 2 + 6)*(-4*m - m + 0*m)*(3 + 3 - 3)*(-2*m**2 + 0 + 0) to the form r*m + u*m**2 + h*m**3 + b and give b. 0 Express 23*y**3 - 50*y**3 - 2*y - 7*y**2 + 29*y**3 - 1 + 0*y as o*y + n + x*y**3 + d*y**2 and give d. -7 Express (2*w + 5*w - 6*w)*(-2*w + 2*w - w) in the form x*w + h + y*w**2 and give y. -1 Rearrange (-z + 4*z + 4 - 5)*(5*z + 16*z - 7*z) to the form n + t*z + f*z**2 and give t. -14 Express (0 - 13*o**3 + 0 - 1)*(-1 + 0 + 0) in the form s + t*o**2 + l*o + a*o**3 and give s. 1 Express (3*b + 3*b - 7*b)*(12*b - 5 + 5) - 5*b**2 + 5*b**2 - 2*b**2 - 3*b**2 + 4*b**2 + 0*b**2 as y + a*b**2 + i*b and give a. -13 Express -z**4 - z**2 + 12*z**2 - z**2 + 0*z - z as y*z + d*z**3 + h*z**2 + g*z**4 + w and give h. 10 Express (-17*r + 17*r + 13*r**2)*((0 + 1 + 0)*(4*r - r - 2*r) - 12*r + 11 - 11) as y*r + b*r**2 + a + d*r**3 and give d. -143 Express (-l - l + l)*(16 - 47 - 12) in the form h*l + d and give h. 43 Rearrange 2*s**2 - 2 + 3*s + s + 2*s**4 - 3*s**2 - 3*s to o + d*s**3 + b*s + j*s**4 + k*s**2 and give o. -2 Express -2*p**2 + 2 - p + 1 + 3*p + 2*p**4 as n*p**4 + s*p**2 + v + h*p**3 + l*p and give s. -2 Express (-1 + 4 + 5 + (-2 - 1 + 1)*(-3 + 0 + 1))*(4*y - 3*y + y) as h + f*y and give h. 0 Express b**2 + 83 - 2*b + b - 82 as f + y*b**2 + p*b and give p. -1 Rearrange 4*v**3 + 4*v**3 - 3*v**3 + (7 + 7*v - 7)*(v**2 - 3 + 3) to p + d*v + k*v**3 + f*v**2 and give k. 12 Rearrange -2*i**2 - 3*i**2 + 7*i**2 + (6*i - 2*i - 2*i)*(-5*i + 3*i + 4*i) + 2*i**2 + 4 - 4 + 3*i**2 + 6*i**2 + 6*i**2 to o + s*i**2 + y*i and give s. 23 Express (1 + 5*d - 1)*(-6*d**2 - 6*d**2 + 3*d**2) - 2*d**3 - d**3 + 4*d**3 in the form s*d**2 + y*d + k + u*d**3 and give u. -44 Rearrange (3 + 2*q - 3)*(4 - 4 + 2*q) - 2*q - q**2 - 6*q**2 + 4*q to the form i*q + d*q**2 + o and give o. 0 Rearrange k + 0 - 1 - 31*k**3 + 44*k**3 to d*k**2 + r + c*k + q*k**3 and give q. 13 Rearrange -4*m - 2*m + 18*m + 5*m to the form q + d*m and give q. 0 Express (-4*q + 3*q + 5*q)*(1 + 2 - 1) + 1 - 1 + 3*q in the form d*q + b and give b. 0 Express 27 + 25*p**2 + 0*p**2 - 27 as l + i*p + z*p**2 and give z. 25 Express p**3 + 29 - 18 - 14 + 18*p**2 as z + j*p + l*p**2 + q*p**3 and give l. 18 Rearrange -14 + 14 - 14*w to the form s + c*w and give c. -14 Rearrange -94*p + 17*p**2 + 94*p + (0 - 4*p + 0)*(-3*p + p + p) to the form w*p + i + a*p**2 and give i. 0 Express -8*f + 9 + 4 - 14 in the form g + h*f and give g. -1 Express y**4 + y**4 - 5*y**4 - 23*y**3 - 17*y**4 + 23*y**3 + (-2*y + y + 2*y)*(y**3 + 2 - 2) as t*y**4 + j*y**3 + p + g*y**2 + w*y and give t. -19 Express (0 + 1 + 2)*(d**2 - d**2 - d**3 - 5*d**3 - d**3 + 4*d**3 + (1 - 6 + 3)*(5*d**2 - 4*d**3 - 5*d**2)) as i*d + g*d**2 + t + v*d**3 and give t. 0 Express (32*c - 19*c + 7*c)*(2 + 2 - 3)*(0*c - 4*c + 3*c) in the form k + f*c + y*c**2 and give y. -20 Rearrange (-b + b - 2*b**4)*(6 - 1 + 2)*(0 - 4 + 3) to the form z*b + f*b**4 + v*b**2 + k*b**3 + y and give f. 14 Express -2*r + 9*r**3 - 6 + 6*r**3 - 17*r**3 as i*r**3 + f*r**2 + p + q*r and give i. -2 Rearrange 25*l - 10*l - 15*l - 12*l**2 to n + m*l + t*l**2 and give t. -12 Rearrange 2 - 1 - 2*l**2 - 3 + l**2 to z + p*l**2 + h*l and give z. -2 Express 48 - 48 - 18*d as i*d + c and give c. 0 Express (1 - 2*x - 1)*(x - x + 2*x) - 3*x**2 + 0*x**2 + x**2 + 4*x**2 + x**2 - x**2 + 7*x**2 - 6*x**2 - 6*x**2 in the form j + n*x**2 + l*x and give n. -7 Express -119*t**3 - 2 + 116*t**3 + 2 - t in the form k*t + a*t**3 + o*t**2 + w and give a. -3 Express (-15*f**2 + 10*f**2 + 7*f**2)*(7 + 0*f - 9 - f) in the form o*f**2 + s*f**3 + p*f + q and give o. -4 Express -3*f + f - 31*f**3 + 27*f**3 + f**2 as k*f**2 + z*f + u*f**3 + w and give u. -4 Express (5*v - 13*v - 6*v + (-3 - 4 + 2)*(v + 2*v - 2*v))*(1 - 3 + 1) as a*v + f and give a. 19 Rearrange n**2 + 7*n**3 - 6*n**3 + 0*n**2 + 8*n**3 to o*n**2 + s*n + m + v*n**3 and give v. 9 Express -19*m**4 - m - 5*m**2 + 15*m**2 - 4*m**4 + 20*m**4 as u*m**4 + k*m + z + y*m**3 + w*m**2 and give k. -1 Rearrange 2006*l - 2006*l - 76*l**2 + l**2 + 5*l**2 - 5*l**2 - 1 + 1 - 2*l**2 + (-2*l - 3 + 3)*(-l + 0*l + 3*l) to q*l**2 + y*l + v and give y. 0 Express -3*o**2 + 7 + 0 + 2*o + 4*o**2 + 0 in the form y + p*o**2 + c*o and give p. 1 Rearrange -30*l**3 - 36*l**3 + 1 - 7*l**4 + 1 + 64*l**3
{ "pile_set_name": "DM Mathematics" }
+ (-15)/(-6))? -1 Evaluate 21*(-5)/(-45) + -3. -2/3 23/460*(-10)/(-6) 1/12 Evaluate -4*(1 - (1 + 2)) - 5. 3 Evaluate 31/5 + -96 + 90. 1/5 What is (-3)/(7/(21/(-30)) - -3)? 3/7 126/54*36/28 3 ((-1)/2)/((-28)/(-16)) -2/7 What is -1 - (-4)/(32/24)? 2 Calculate (-1)/15*3 - 130/(-25). 5 Calculate 21/(-12) + 5/20*-1. -2 What is 2 - -1 - -7*3/(-9)? 2/3 What is the value of ((-147)/(-105))/(3/15)? 7 What is the value of -2 + ((-42)/9)/(-7)? -4/3 What is ((-4)/7)/(2 - 72/42)? -2 Evaluate 4/((-396)/(-341)) + 4/(-9). 3 What is (6/(-10))/(28/(-20))? 3/7 Evaluate 1/(-75)*-5 - 1/(-3). 2/5 Evaluate (-1)/(-4)*1/(-2). -1/8 (-2)/(-1 - ((-8)/(-2) - 3)) 1 What is (12/9)/((-16)/(-60))? 5 Evaluate (1/2)/(5/(-2)). -1/5 ((-57)/285)/((-2)/14) 7/5 Evaluate (-5 - -2) + (-5)/(15/(-8)). -1/3 (4/14)/((-99)/63) -2/11 Calculate ((-1)/(-20))/((-315)/2520). -2/5 Calculate (-102)/(-24) + 8/(-32). 4 (-202)/(-303) + 1/((-3)/2) 0 What is the value of 3*-1 + 252/52 + -2? -2/13 Calculate -6 - ((-145)/45 - 3). 2/9 Evaluate 8/12 + 10*2/6. 4 (-3)/(-3) - (-4)/((-128)/20) 3/8 What is (-3 - 32/(-12))*(4 - 13)? 3 Evaluate (-12)/135 + ((-14)/(-18))/(-7). -1/5 What is the value of (39/65)/((-27)/(-10))? 2/9 23/(-2760)*-20*(-3)/(-2) 1/4 Calculate 265/(-106)*(-4)/(-45). -2/9 Evaluate 0 - -1 - ((-4)/1)/(-2). -1 Calculate ((-305)/732)/((-1)/(-4)). -5/3 What is 1/1*(-5)/10? -1/2 What is ((-1)/2)/(7/(-728)*-13)? -4 Calculate (16/(-2) + 10)*-4. -8 Calculate ((-78)/(-6) + -7)*1. 6 36/54 + (2 - (-28)/12) 5 Evaluate (-7 + (-34)/(-5))*-5. 1 What is -11 - ((-51282)/(-140))/(-33)? 1/10 Evaluate (-3 + (-1)/1)*3/66. -2/11 Calculate (-6)/3*3/(-30). 1/5 (-4)/22 + 330/484 1/2 1/(10 + 31/(-2)) -2/11 Evaluate 14/(-6) - (-4360)/327. 11 What is (5 - 2)*(-8)/(-96)? 1/4 What is (-3)/90 + (-21)/70? -1/3 Evaluate 210/504 + 3/(27/3). 3/4 2/20 - 16/(-40) 1/2 0*(-7)/(-14)*-2 - 6 -6 What is 26/143 + (-18)/(-22)? 1 Evaluate 1*11 + -24 + 9. -4 (-45)/27*6/(-2) 5 Evaluate ((45/12)/(-5))/(3/(-8)). 2 What is 19/171*(-1 - -1)? 0 Calculate (-10)/(-14) - 46/(-161). 1 Evaluate 33 + -50 + (-10)/(-1). -7 (-11 + 1)*(-16)/(-32) -5 Calculate 2/6 - 14*(-4)/12. 5 What is (-96)/64*110/(-15)? 11 Calculate 43/(-9) - (30/(-27))/(-5). -5 (-1 + 0)*-3*(-30)/90 -1 Evaluate (10/175)/(17/((-425)/20)). -1/14 Evaluate ((-4)/14)/(11/(-77)). 2 What is 36/20*3/9? 3/5 Calculate (-2 + 3)/((-67)/67). -1 Evaluate -2*1/(-8)*-6. -3/2 What is the value of 209/495 + (-2)/9? 1/5 Evaluate (1 - (-6)/(-3))*(-1)/2. 1/2 Calculate (-1)/6 - -11*3/36. 3/4 What is the value of -6 + (-84)/(-10) - (3 - 1)? 2/5 What is (-4)/34 + 4 + (-6430)/1700? 1/10 What is 14/6*14/(-147)? -2/9 Evaluate (-9)/7 + 3/(-6)*-2. -2/7 Evaluate (16/40)/(8/(-30)). -3/2 What is the value of (1 + (-15)/21)/(9/315)? 10 Evaluate -3*(1406/285 - (-10)/(-2)). 1/5 What is -3 + 441/153 + (-8)/(-68)? 0 What is the value of 8/8*(-4 + -1)? -5 What is the value of (-9)/6*62/217? -3/7 Calculate 8 - 0 - (5 + -1). 4 What is ((-1)/3)/(3 + (-26)/6)? 1/4 ((-1863)/(-874))/27*(-4)/(-3) 2/19 12/(-504)*12 - 33/7 -5 What is the value of (3/(-2))/(21*(-2)/(-12))? -3/7 What is (-9)/(-33) + 252/44? 6 What is 1*(1 + -4) - (1 - 3)? -1 What is (-1254)/(-990) + 14/(-10)? -2/15 30/(-21) - -2 - (-175)/(-49) -3 Evaluate -1*(-2)/(-4)*0 + -5. -5 What is (-10)/(-55) + (-59)/22? -5/2 2/(-4) + ((-1386)/28)/11 -5 Calculate (-8)/(-14) - (-145)/(-1155)*6. -2/11 What is the value of (-3)/1*78/(-1872)? 1/8 What is 2*(-1 - 0) + 64/40? -2/5 Calculate (4 - (-3 + -12)/(-5))*0. 0 What is ((-1)/4)/((-17)/(-68))? -1 What is the value of 6/(-39) - (-3 + 452/104)? -3/2 Evaluate (1 - 0) + 6/(-78)*11. 2/13 What is the value of (0 - -3) + (-33)/12? 1/4 4/(-30) - 8/(-60) 0 Evaluate (-5)/(-4)*(-528)/(-220). 3 Evaluate (2/(-11) + 714/1870)*0. 0 What is 37/(-222)*(-1 + 10)? -3/2 Calculate 4/(-7)*(-12)/(-24). -2/7 What is -9*(-8)/(-40)*10/(-6)? 3 8/(-24) - (2 - (-19)/(-12)) -3/4 What is (-40 + 37)/(-2 + 3)? -3 What is 1/(4/(9/(27/12)))? 1 (0 - 0)/(2/(2/5)) 0 (-220)/88*(-3)/5 3/2 Calculate (-4 + 3)*(6/(-2) + 4). -1 ((-42)/(-168))/(1*-1) -1/4 Calculate (-4)/12*(2 + -1)*-6. 2 What is (99/22 - 5)/((-1)/(-4))? -2 Evaluate (((-9)/45)/(3/(-30)))/(-10). -1/5 Calculate (1/5)/(15/60). 4/5 Calculate (-60)/(-360) - 5/12. -1/4 (-1 - -3) + (-9 - -7) 0 (-553)/(-79)*1/4 7/4 What is the value of (19/(-152))/((-10)/16)? 1/5 (66/(-341))/(-3)*(1 + 0) 2/31 Calculate 1/((2/6)/(-1)). -3 583 + -579 + ((-28)/6 - -1) 1/3 Evaluate 2/(-2)*9/(0 + -3). 3 (-6 + (0 - 0))*(-66)/(-99) -4 1/9*-16 - (-47 + 45) 2/9 (1 - 0)*(5 + (-32)/6) -1/3 What is ((-18)/8)/(-9)*1? 1/4 What is 0/(3 - 5 - -3)? 0 Calculate ((-1)/(-5))/((-18)/15). -1/6 Calculate ((-6)/(-42))/(12/(-63)). -3/4 Calculate 70/21 + (-4)/1. -2/3 What is the value of 4/(-10) + 3/45? -1/3 Calculate 6*-2*(-2)/(-12). -2 What is the value of 3012/456 - 7 - 2/(-4)? 2/19 What is (-55)/22*4/35? -2/7 What is 10 + (-1)/(3/21)? 3 Calculate (-5 + (-24)/(-4))*-5. -5 What is the value of 17/10 + 7/(70/8)? 5/2 Calculate (-17)/5 + 15/(15 - 10). -2/5 Calculate (-3 - (4 + -4)) + 2. -1 Calculate 1 - ((1 - -1) + -6). 5 What is the value of (-1)/(-4) + (-565)/(-3164)? 3/7 What is 252/140 + (1/5 - 1)? 1 Calculate ((-42)/6)/(-14)*(-1)/2. -1/4 Evaluate 1*33/(-18) - (-9)/6. -1/3 (90/(-35))/((-40)/140) 9 Calculate 3/(-165) + (-6)/33. -1/5 What is 1 + 1 + (-20 - -20)? 2 7/(6/8 + (-11)/(-44)) 7 What is the value of 1 + 0 - (1120/(-30))/(-14)? -5/3 What is the value of 56/80 - (-1)/(-2 - 3)? 1/2 What is the value of 3/(-5 + 17)*(6 - 6)? 0 5*((-108)/30)/(-9) 2 What is -6 - (192/5)/(-6)? 2/5 What is 9/(-6) + 2/(-4) + 6? 4 What is the value of (-8)/1 - (-11 + -4)? 7 What is the value of (-78)/14 - 93/217? -6 Evaluate 531/118 + 1/2. 5 What is (-86)/69 + (-4)/46? -4/3 (2/3)/(-1*8/12) -1 ((-5)/3 - 0)*8/10 -4/3 (-3 - -3)/(-3) + (-4)/14 -2/7 What is the value of (-4 - -3)*(280/(-88) - -3)? 2/11 (-4)/6*-6*(-7)/84 -1/3 Calculate ((-15457)/1716)/29 + 6/99. -1/4 Calculate (-11 + 17)*4/8. 3 What is the value of (-12)/(-6) + -33 + 24? -7 Evaluate (8/(-78))/(50/(-75)). 2/13 39*(-4)/(-36) + -4 1/3 Evaluate (-4 - (-8 - -4))/3. 0 Calculate 75/(-45)*162/(-30). 9 (-48)/36 - (-8)/6 0 Evaluate ((-30)/(-4))/(-5) - 21/(-6). 2 Calculate (0/(1/(-1)))/(1 - 0). 0 Calculate 8/((-24)/6) - -5. 3 Calculate (-112 - -107)/(0 + 0 + -1). 5 Evaluate 4/10 - (-13 - (-915)/75). 6/5 Evaluate (-5)/(-2) - (171/(-18) + 8). 4 What is the value of (-4)/(-20)*(-4 + 6 - 1)? 1/5 What is (-35)/(-10)*(-95)/(-133)? 5/2 Calculate 1 - (-21)/(-27) - 1/(-36). 1/4 Calculate (-2)/(-8)*10/(-15). -1/6 What is (-6)/(-2) - (-8 - -7)? 4 What is (-13)/((-156)/(-16)) + 186/126? 1/7 (-69)/(-84) - 3/12 4/7 Calculate -2 + 24/5 + -2. 4/5 Calculate 1/7*(-8 - -6). -2/7 What is (-14)/(-588) + -2 + 30/14? 1/6 Calculate (-9)/(-45) + (-7)/(-70)*-6. -2/5 What is -8*(-49)/(-28)*(-2)/(-7)? -4 (6 - -6*(-3)/(-9))/(-1) -8 6 - 1 - 65/10 -3/2 Calculate -4 + 6 + (1 - 2/1). 1 Calculate 0/(6 + -3) + 5. 5 Calculate ((-1)/(-4))/(2 + (-25)/20). 1/3 Evaluate (-4)/6*30/100. -1/5 Calculate (-1 - 0)*(-69)/(-161). -3/7 What is the value of -2 - (1 + -12)*(-34)/187? -4 Evaluate ((-21)/35 - (8 + -3)) + 5. -3/5 Evaluate 1*8/(8/5)*-1. -5 Evaluate -6 + (-5 - 56/(-8)). -4 (-36)/162*2*36/(-56) 2/7 Evaluate -8 + 6 - 2 - (0 - 0). -4 What is (-7)/(-14) + 3/9? 5/6 What is the value of -18*6*6/(-81)? 8 Calculate 20/(-16)*1/(-5). 1/4 What is (-5 + 207/45)*10? -4 What is the value of -4 - 9/(-21)*9? -1/7 4/(-42)*6 - 4/(-7) 0 Calculate 187/(-33) + (-2)/(-3). -5 Evaluate -2*(-6)/4 + (-2544)/742. -3/7 19/38*0/1 0 Calculate ((-6)/(-3))/(1/(5 - 7)). -4 What is (75/(-125) - (-7)/20)*16? -4 What is ((-1)/4 + -1)*4/(-1)? 5 What is (-4)/(-5)*((-27)/6 + -3)? -6 Evaluate 9/(-12)*12 + (-714)/(-78). 2/13 Calculate ((-1)/((-4)/8))/((-2)/3). -3 2/80 + 8/(-20) -3/8 What is (-4)/2 - (2 + -7)? 3 Calculate -4 + 1 + -3 - -4. -2 What is the value of (8/(-42))/((14/3)/7)? -2/7 What is 104/(-468) - (-68)/(-18)? -4 Evaluate (-255)/952 - (-2)/16. -1/7 48/(-36) - 8/(-12) -2/3 Evaluate (0 - -1)*5*(-2)/(-50). 1/5 Evaluate (-4)/(-12)*-8*33/(-22). 4 Evaluate 2/(-10) - (-45)/(-150). -1/2 What is the value of (2/(-28)*6)/(39/(-26))? 2/7 ((-1)/(-2))/((-51)/(-510)) 5 What is 1088/170 - (-2)/(-5)? 6 What is 3/9 + 56/(-105)? -1/5 (97 - 103) + 0 + 5 -1 Calculate (-1 + 3 - 10) + 6. -2 What is (1350/(
{ "pile_set_name": "DM Mathematics" }
). Solve t = 3*l + l + 12 for l. -3 Suppose x = -2*t + 4*t - 13, -t - 2*x + 4 = 0. Solve 0 = -t*p + 3*p - p for p. 0 Let x = 12 + -6. Let s = x + -3. Suppose -2*c + 9 = s. Solve -m = c*m for m. 0 Let t(l) = 50*l - 935. Let r be t(19). Solve -20 = -r*f - 5*f for f. 1 Suppose 2*w - 5*c = -43, w - 1 = -6*c + c. Let o(q) = -q**3 - 15*q**2 - 15*q - 11. Let v be o(w). Solve 4*t + 1 = -v for t. -1 Suppose 0 = 2*s - 62 - 6. Suppose -7*d + s = -64. Solve -4*l - d - 2 = 0 for l. -4 Let n be -1 - (3 + 12)/(-3). Suppose -n*c + 10 = 2*o, 3*c - 3*o = 5*c - 11. Solve 2 = -3*m - c for m. -1 Suppose 0 = 9*y + 11 - 155. Suppose 4*k - 1 = 5*q - y, 3*k = -3*q + 9. Solve -9 = -0*b + q*b for b. -3 Let l be (4 - 5)*(0 + 0 + -2). Let h = 6 - 1. Solve 7 = -h*a + l for a. -1 Let y be (-8 + 6)*(-7 - -1). Solve 15*l = 3*l + y for l. 1 Let t(d) = 3*d + 20. Let o(j) = -14*j + 9. Let q be o(1). Let f be t(q). Solve 3 = -f*p - 7 for p. -2 Let s(v) = 8*v - 45. Let m be s(7). Suppose 9*o - m = 16. Solve o*l - 20 = 7*l for l. -5 Let s(p) = -p**2 - 8*p + 4. Let a be s(-8). Suppose n + n = 10, 2*g = -a*n + 24. Let k = -2 + g. Solve k = -x - x for x. 0 Let y(s) = -3*s**2 + 2*s + 7. Let n be y(3). Let q(z) = z + 18. Let d be q(n). Solve -12 = -a + d*a for a. -4 Suppose 187*d = 171*d. Solve -26*m - 26 - 104 = d for m. -5 Let r(j) = 273*j**3 + 5*j**2 + 3*j - 3. Let b be r(1). Solve -b*d + 12 = -282*d for d. -3 Let d be (-2 - 2)*(-4 + -4). Let b = 31 - d. Let j be -6 + 9 + (-1)/b. Solve -j*h - 6 = -h for h. -2 Suppose r + 5*f = 2 - 1, -4 = -2*f. Let v = -8 - r. Suppose -3*k - v + 16 = 0, -5*k + 25 = 5*m. Solve -4*z + z - 12 = m for z. -4 Suppose 27 = 4*u + 11. Suppose -5*z + 2*o + 21 = 0, -u*z + 5*o = -35 + 8. Let s(j) = -j**3 - j**2 + j + 5. Let c be s(0). Solve z*n = c*n for n. 0 Let s(v) = v**3 + 6*v**2 - 13*v + 34. Let p be s(-8). Solve y - p + 15 = 0 for y. -5 Let q be -7*(4/(-6))/(7/42). Solve q = -w + 8*w for w. 4 Suppose -3*c + 7*c - 44 = 0. Solve 7 - c = 2*u for u. -2 Let b = -76 + 69. Let m(o) = o + 7. Let q be m(b). Solve q*d - 2 = -d for d. 2 Suppose -7*u - 81 = -354. Let r = u + -34. Solve -r + 1 = -2*b for b. 2 Let m(t) = 192*t + 78. Let y be m(0). Solve -y + 70 = -2*h for h. 4 Let i(n) = -3*n - 28. Let x be i(-16). Let t be 0 - -5*2*6/x. Solve -s + t = 2*s for s. 1 Let k(c) = -c - 21. Let h be k(-16). Let m be h/(-3) - 1/(-3). Suppose -5*q - 3*s = -39, 2*s - s = m*q - 20. Solve -4*p = -11 - q for p. 5 Let a be (-18)/12*2/(-3). Let b be (a + 0)/(5/(-25)). Let y = b - -5. Solve -3*l - 12 = -y*l for l. -4 Let h(c) = -3*c - 3. Let l = -32 - -29. Let s be h(l). Solve 0*b = 2*b + s for b. -3 Let o = -7 + 8. Let d be 12 + -9 - o*4. Let i be 12/(-4) + (-12)/d. Solve 0 = 4*q + i - 25 for q. 4 Suppose 66*u - 195 = 3. Solve 0 = -u*b - 56 + 59 for b. 1 Suppose 2*i + 82 - 86 = 0. Solve -i*b = -3*b + 2 for b. 2 Suppose -2*b + y = -10, -10*y = -3*b - 8*y + 15. Solve b*u - 2 = 6*u for u. -2 Let y be ((-10)/(-8))/((-1)/8). Let c be ((-8)/y)/(8/20). Solve c*l - 5*l = -3 for l. 1 Let t be (-28)/(-16) - (-1)/4. Suppose -a = -3*k + 6, -k + 69 = -4*a + t*k. Let m = a - -21. Solve l + 0*l - 5 = m for l. 5 Suppose -t + 35 = 2*w, t - 83 = -14*w + 9*w. Solve 15*z = w*z + 1 for z. -1 Suppose -5*n = -5*q - 12 + 2, 4*q + 3*n = 20. Suppose -7 = v + q*z, 0*z = z + 4. Solve 5*h + 24 + v = 0 for h. -5 Suppose 8*g - 7 = 9. Let m be 1 + -1 + (7 - g). Solve 4*k - 7 = m for k. 3 Let u = 414 + -412. Solve 0*z - u*z + 6 = 0 for z. 3 Let i(d) = -5*d**2 + 9*d + 13. Let h(y) = 14*y**2 - 27*y - 39. Let q(j) = 6*h(j) + 17*i(j). Let m be q(-7). Let s = 9 + -6. Solve s*b + m = -5 for b. -2 Let o be 1 - 2/(10/35). Let f be 3/((-1)/o - 32/(-24)). Solve -3*p = -2*p + f for p. -2 Suppose 14*b + 110 = 25*b. Suppose 0 = 2*g - 2*i, 2*i - 6 = -g + 3. Solve -l = -g*l + b for l. 5 Let w = 649 + -645. Solve -2*m = -w*m + 8 for m. 4 Let h be 1/(28/(-10) - -3). Let v(f) = -f**3 + 6*f**2 - 6*f + 5. Let c be v(h). Solve 3*x + c*x = -15 for x. -5 Let s = 258 - 223. Solve -s*q - 6 = -37*q for q. 3 Let y = 62 - 62. Solve -5*h - 25 = -y for h. -5 Let h(a) = -a**2 + 10*a - 5. Let r be h(9). Suppose -r*o = -5*o. Solve 4*w - w = o for w. 0 Suppose -3*q + 0 = 4*a - 7, -5*a = -4*q + 30. Suppose 2*m = q - 1. Suppose -i - m*i = -18. Solve 0 = -s - 2 + i for s. 4 Let k be (-3)/6 - 9/(-6). Let n be (-5 + (3 - k))*(-8)/3. Solve 0 = -5*z - n - 7 for z. -3 Suppose 2*k = 3*x - 22, -5*k + 2 = 3*x - x. Suppose -16*j + 13*j + x = 0. Solve -j*i = -6*i - 8 for i. -2 Suppose 27 = 2*d + 1. Suppose -11 - d = -4*p. Suppose p = 2*m - 4*x - 14, 2*m + 5*x + 25 = 0. Solve m = -4*h - 0*h + 12 for h. 3 Let v(i) = -61*i - 258. Let s be v(-5). Solve -12*g = s + 13 for g. -5 Suppose 2*a + z - 8 - 28 = 0, 4*a - 5*z - 44 = 0. Solve 10 = -14*m + a*m for m. 5 Let m be (-11 - -11)*(-2)/4. Solve 6*x + x + 35 = m for x. -5 Suppose -3*v + 14 + 7 = 0. Suppose -5*x = -17 + v. Let s = 33 + -27. Solve s = 4*o - x for o. 2 Let u be (2 - 80)*(-8)/16. Solve 3*r = -u + 54 for r. 5 Let d = -1168 + 1176. Solve 94 = -d*i + 54 for i. -5 Suppose 0 = 3*t - 2*o - 51, 0 = -0*o + o + 3. Suppose -s - 4 = 0, 0 = -u - 3*u - 5*s - 12. Solve -t = 3*c + u*c for c. -3 Let u(l) = -l**3 + 7*l**2 - 9*l - 4. Let i be u(5). Let r(j) = 5*j**2 + j - 1. Let q be r(i). Solve -4*v = v + q for v. -1 Suppose -2*b + 10 = 2*n, 0 = -0*b - 2*b + 2*n + 6. Suppose 20 = h - 5*d + 2*d, -4*d = 4*h. Solve b*i = h*i + 5 for i. -5 Suppose 0 = 5*p - 18 - 2. Suppose -3*x - 9 = 3*k, -5*k + 7 = 22. Solve u + p - 3 = x for u. -1 Suppose 4*f + 3 = -4*m + 15, 0 = -3*m - 15. Solve 4*r = f*r - 12 for r. 3 Let i(l) = 2*l**2 + 2*l - 2. Suppose -2*s - 6 = -2*k - 0*s, -4*s = k + 7. Let d be i(k). Solve 7*o + 25 = d*o for o. -5 Let u(i) be the second derivative of 0 + 1/20*i**5 - 4*i - 11/12*i**4 - 1/6*i**3 + 7*i**2. Let k be u(11). Solve -1 = -2*v + k for v. 2 Let j(a) = -a**3 - 20*a**2 + 2. Let s be j(-20). Let h(w) = 3*w**3 - w**2. Let m be h(s). Solve 0*n - m = -5*n for n. 4 Let j = -832 - -832. Solve -5*z + 0 - 20 = j for z. -4 Suppose 38 - 7 = 3*p + s, 2*p - 9 = -3*s. Suppose 0 = 3*f + q - 6, 4*f + 3*q - p = f. Solve -v - f + 4 = 0 for v. 3 Suppose 16 = 2*w + 4. Let x(t) = 13*t + 11 - 7*t + 10 - 3*t. Let b be x(-7). Solve -2*g + b*g = -w for g. 3 Let h(y) = y**3 - 17*y**2 - 20*y + 30. Let j be h(18). Let n be (3/j + 1)/(6/84). Solve -10*m = -n*m + 3 for m. -1 Let n = 351 - 348. Solve -6*z = -n*z + 6 for z. -2 Let c(u) = u**2 + 7*u + 20. Let m be c(-7). Solve -3*a + m - 5 = 0 for a. 5 Let u(o) = 6 + 11 + 18 - 3*o + 3. Let w be u(11). Solve 7*c + 6 = w*c for c. -3 Suppose -3*z + 2*y + 60 = -15, 0 = z + 3*y - 14. Solve -11 + z = 3*u for u. 4 Let b = 18 + -14. Suppose s = -o, -30 = -s - b*s + 5*o. Solve s*v + v = 8 for v. 2 Let y be 1/4 - 7/(-4). Suppose -93 = -13*t - 18*t. Solve t*s = y*s + 4 for s. 4 Suppose -13*c + 72 = -45. Solve -19 = 7*u + c for u. -4 Let a(t) = -93*t - 53. Let x be a(-1). Solve 44*c + 20 = x*c for c. -5 Suppose 3*a = a - 2*m + 86, -83 = -2*a + m. Let d = -37 + a. Suppose x - v - 5 = 0, x + d*v + 1 = -2*x. Solve 2*u = -u - x for u. -1 Let i be (8 - 6)/((-5)/(-3) + -1). Let j be (-4)/(-22) - 6/33. Solve -12 = -j*p + i*p for p. -4 Suppose 33 + 36 = 3*g - 2*f, 4*g + 4*f = 112. Solve -g = -18*m - 97 for m. -4 Let w(k) = k**3 + 5*k**2 + 6*k + 5. Let g be w(-4). Let h be 5 + 5 + g - (0 - -3). Solve 5*u = 1 + h for u. 1 Suppose 5*a = t - 39, -5*t = 5*a - a - 224. Solve t - 40 = -4*i for i. -1 Let c = 259 - 257. Solve 0 = -c*o + o + 5 for o. 5 Suppose -17 = 5*q - 47. Let f be (3*2)/(4/q). Let r = f - 5. Solve -r = -5*z + 16 for z. 4 Let f = -33 - -34. Let g(u) = 3*u + 1. Let n be g(f). Solve 4*l = 12 + n for l. 4 Let d = -137 - -169. Solve 0 = 6*q - d + 8 for q. 4 Let b(h) = 6*h - 12. Suppose n - 2*c = 0, 3*n + 4*c + 0*c - 10 = 0. Let x be b(n). Solve x = -5*l - 15 - 5 for l. -4 Suppose 12 = 3*u, -12 = -4*o + 3*u - 4*u. Suppose 5*v - 80 = 5*b, -b = o*b + 9. Suppose 2*y - 25 = -3*y, -v = 4*h - 5*y. Solve h*i - 9 = -0 for i. 3 Let y be ((-15)/21)/(4/(-28)). Suppose 4*j + 162 = -158. Let g be j/(-45) - (-4)/18. Solve -y*t - g = 13 for t. -3 Let d(t) = t**2 - 11*t + 27. Let s be d(8). Let o = -8 + 6. Let x = o - -4. Solve s*i - x*i = 2 for i. 2 Let r(b) = -2*b**3 + 15*b**2 - 3*b + 1. Let c be r(1). Solve -13 = -c*f
{ "pile_set_name": "DM Mathematics" }
*u - 21595*u + 43210*u)*(2 - 3 + 0). 23*u**2 - u + 4 Expand 0*y**3 - 4*y**3 - y**3 + y**3 + 2 - 2 + y**3 - 2*y**2 + 2*y**2 + (-y**2 + 0 + 0)*(-4*y - y + 3*y) + (0*y**2 + 3*y**2 - 7*y**2)*(-2*y - 6*y - 5*y). 51*y**3 Expand (-13*m - m + 6*m + m + 0*m - 4*m + (-6*m + 0*m + 4*m)*(-2 + 2 + 2) + 0*m - m + 2*m + (2 - 3 - 1)*(4*m + m - 3*m) + m + 0*m + 3*m)*(-4 - 3 - 1). 112*m Expand (-2*p - 3*p + 4*p)*((1 + 1 - 5)*(-73*p + 38*p - 63*p) + 4*p - 4*p + p + 4*p - 5*p - p + 7). -293*p**2 - 7*p Expand (240 - 162 - 456)*(-2*b - 2*b - 4*b). 3024*b Expand 12*c**3 + 4*c**5 - 12*c**3 + 2*c**2 + (-7 + 8 + 5)*(-2*c**3 - 2*c**5 + 2*c**3) + 301*c**5 - 80*c**5 - 123*c**5. 90*c**5 + 2*c**2 Expand (y - y - y)*(-2*y + 0*y - 2*y) - 1354*y**2 - 663*y**2 + 1087*y**2. -926*y**2 Expand -s**5 + s**5 + s**5 + (13*s + 18 - 18)*(2 + 2 - 1 + (-5 + 5 - 1)*(-4 + 2 + 3))*(2*s - 2*s + s**4). 27*s**5 Expand (-y**3 + 3*y**2 - 3*y**2)*(-6*y + 4*y - 4*y) + 3 + 2*y**4 - 3 + 0*y**4 - 478*y**3 + 243*y**3 - y**4. 7*y**4 - 235*y**3 Expand (-2 + 1 - 1)*(-2*x + 3*x - 3*x)*(-3*x + 3528 - 3528) + 17*x**2 + 11*x - 11*x + (0*x + 0*x + 2*x)*(-x + 0*x + 0*x). 3*x**2 Expand (-364*m - 27*m**3 + 364*m)*(6 + 10 - 21 + (0 - 2 + 4)*(1 + 5 - 1)). -135*m**3 Expand (-3 + 3 + 3*b)*(1 - 1 - 4)*(-30972 + 3329*b**3 + 15488 + 15484). -39948*b**4 Expand (-2631 + 12261 + 13333 - 5338 + 8264)*(-p + 5*p - 2*p). 51778*p Expand 961*r + 137 + 147 - 282 + r + 3*r - 3*r + r + r - r + r - 4*r + 2*r + 2*r - 2*r + r + (-2 - r + 2)*(-1 - 4 + 3). 965*r + 2 Expand -u**3 + 0*u + 0*u + (-4*u - 3*u + 2*u)*(1 - 1 + u**2) + (-9*u**3 + 6*u**3 - 6*u**3)*(4 + 4 - 4)*(-7 - 1 + 2). 210*u**3 Expand (-2*m - 3*m + 6*m)*(-233*m**2 - 740*m + 441*m - 3 + 231*m**2). -2*m**3 - 299*m**2 - 3*m Expand (2 - 1 + 1)*(-66*f**5 - 114*f**5 + 55*f**5) + 35*f**5 - 9*f**2 + 9*f**2. -215*f**5 Expand -5*a**2 + 33*a - 33*a + (0*a + a - 3*a)*(-2*a + a - a) + 0*a**2 + 2*a**2 + a**2. 2*a**2 Expand (4088*v**5 + 3107*v**5 - 3370*v**5 + 14920*v**5)*(-5 + 5 - 1). -18745*v**5 Expand (4 + d - 4 + (-7 - 4 + 4)*(1 - 1 + d))*(-25 - 5*d**2 + 25) + (-3*d + 5*d + 0*d)*(-2 + 2*d**2 + 2). 34*d**3 Expand (-4 - 121*p + 263*p + 4)*(-2 - 11 - 13). -3692*p Expand 11*q**4 + 66*q**3 - 66*q**3 + (-516 + 516 + 64*q)*(4*q**3 - q**3 - 4*q**3). -53*q**4 Expand (-y + 4 - 4)*(-y + 3*y - 4*y)*(14 + 22 - 32)*(2 + y - 2). 8*y**3 Expand -6*s**5 + 0*s**5 - 22*s**5 + (0 + 0 + 2)*(-19*s**5 + 27*s**5 + 43*s**5). 74*s**5 Expand (17 - 47 - 83)*(23*x + 12*x - 50*x). 1695*x Expand -2*d + d + 0*d + (3 - 4 - 1)*(-1 - 3*d + 1 + (-2*d + 3*d + 0*d)*(-3 + 4 - 3)) + 102 + 33*d - 200 + 100. 42*d + 2 Expand -2*p**2 - 33*p**2 + 3*p**2 + (3*p + 2*p - 7*p)*(-10*p - 24 + 24) + 2*p**2 - p**2 + 0*p**2. -11*p**2 Expand 3*y - y + y + (4 - 2 - 1)*(-2*y - 1 + 1) - 21*y - 41 + 84 - 48 - 10 - 2*y + 1 - 4. -22*y - 18 Expand (-4*j + 6*j + 7*j)*(-1 - j**4 + 1) + 33 + j**3 + 31310*j**4 - j**5 - 31310*j**4. -10*j**5 + j**3 + 33 Expand (5*q**2 - 2*q**2 - q**2)*(-1352*q + 2869*q + 506*q)*(q + 0*q + q). 8092*q**4 Expand -5*i**2 + 5*i**2 - 2*i**3 + (7*i - i + 2*i)*(1025*i**2 + 27 - 27). 8198*i**3 Expand -12*l - 23*l**4 + l + 30*l**4 + (l**4 - l**2 + l**2)*(0 + 0 + 2) - 3*l**4 + 28*l - 28*l. 6*l**4 - 11*l Expand (5*w**2 + 3*w**2 - 4*w**2)*(-12 + 9 - 28)*(-14*w - 13*w - 21*w). 5952*w**3 Expand -2*i - 1 + 1 + (3*i + i - 3*i)*(-3 + 2 + 2) + 18*i - 14*i - 55 + 99. 3*i + 44 Expand (343 - 68*f**4 - 343)*(-2 - 4 + 5) + (f - f - 2*f)*(0*f**2 + 0*f**2 + 2*f**3) - f**4 + 1 - 1 + (3 - 2 + 1)*(-f**4 + 5*f**2 - 5*f**2). 61*f**4 Expand (3938 - 313 - 2086)*(2 - 2 - 2*d**2). -3078*d**2 Expand (-215*a + 2*a + 13*a)*(33*a - 24*a + 38*a). -9400*a**2 Expand (2*k + 0*k - k)*(-k**2 + 2*k**4 + k**2) + 12*k**4 + 12*k**4 - 66*k**4 + 42*k**4 - 22299*k**5. -22297*k**5 Expand (j - 4*j + 5*j)*(358 + 7626 - 3555 + 7485 + 4540). 32908*j Expand (29 + 34 - 280 - 106 - 20)*(653*j - 653*j + 30*j**2). -10290*j**2 Expand (2*r + 2 - 2)*(-6*r**3 + 3*r**3 + 4*r**3) + 0*r**4 - 7*r**4 - 2*r**4 - 16*r**3 - 1 + 2*r**4 + 16*r**3. -5*r**4 - 1 Expand (l**4 + 0*l**4 - 4*l**4)*(-34*l - 63*l + 190*l)*(-1 - 1 - 2). 1116*l**5 Expand (12 + 1 - 7)*(-1 + 1 - o)*(755 - 326 - 372). -342*o Expand (40 - 15 + 17)*(0 + 2*g + 0 + (2*g + g - g)*(4 + 1 - 4)*(1 - 1 - 1) - 2*g + 2*g - 4*g). -168*g Expand -609*t**4 + 1780420*t + 2 - 1780420*t + (-3 - 2*t**3 + 3 + t - t - t**3 + (t**2 + 2 - 2)*(t + 2*t - 4*t))*(-2 + 2 - 2*t)*(1 + 0 + 0). -601*t**4 + 2 Expand 276*o**2 - 426*o + 425*o + 10*o**2 + (-4*o + 6*o + 34 - 35)*(-3*o - o + 5*o). 288*o**2 - 2*o Expand (1 + 0 + 2)*(-26*x - 32*x - 8*x)*(7*x + 4*x - 7*x). -792*x**2 Expand (976 - 69*j**3 - 976)*(1 - 3 + 1) - 2*j**2 + 8 + 0 - 2*j**3 - 7. 67*j**3 - 2*j**2 + 1 Expand (2 + b**3 - 2)*(307 - 1519*b - 200 - 107). -1519*b**4 Expand -u**2 - u**3 + 3*u**3 - 193*u + 216*u - 2*u**3 + 3*u**3 + u**3 + (-u**3 + 2*u**3 + 0*u**3)*(-1 - 2 + 5) - 6*u**3 - 3*u**3 - u**3. -4*u**3 - u**2 + 23*u Expand (4*w + 2*w - w)*(67 + 47 - 34) + (-3*w + 0 + 0)*(1 + 2 - 1) + w + 2*w - 2*w - 4*w + 4*w - 3*w. 392*w Expand -2*o**5 + o**5 - 5*o**5 + (-2 - 3 - 2*o**2 + 4)*(23*o**3 + 235*o**3 - 27*o**3) + (-3 + 3 - 2*o**2)*(2*o**3 - 4*o**3 + 3*o**3) - o**5 + o**5 + o**5. -469*o**5 - 231*o**3 Expand 3*b**4 - 7*b**4 - 2*b**4 - 227*b**4 + 427*b**4 + 132*b**4 + (3*b - 4*b + 0*b)*(b**2 - 6*b**3 - b**2). 332*b**4 Expand (0*n**2 - 5*n**2 + 3*n**2)*(-n**3 + n**3 + 3*n**3 + (0*n**3 + 4*n**3 - 2*n**3)*(-1 + 3 - 4) - 27*n**3 + 18*n**3 + 19*n**3 - n + n - n**3). -16*n**5 Expand (6*b - 5*b + 3*b)*(582*b - b**2 - b**2 - 524*b). -8*b**3 + 232*b**2 Expand (-16*n**4 - 15*n**4 + 9*n**4 - 6*n**4)*(-6*n - 3 + n + 1). 140*n**5 + 56*n**4 Expand (m + 5 - 5)*(2511*m**4 - 1979*m**2 + 1979*m**2) - 6*m**5 + 4*m**5 + 3*m**5. 2512*m**5 Expand (2 + 0 - 1)*(-3154*q**5 + 3*q - 13339*q**5 - 3*q - 9041*q**5). -25534*q**5 Expand (-4 + 1 + 0 + (-3 - 1 + 1)*(-3 + 2 - 3))*(-x + 2*x - 4*x)*(-31*x**2 + 35*x**2 - 28*x**2). 648*x**3 Expand (663 - 663 - 210*j)*(2 - 2 - 7). 1470*j Expand (-62*i + 10*i**5 + 60*i - i**5)*(-616 + 549 - 424 - 515). -9054*i**5 + 2012*i Expand -66*w**4 + 144*w**5 + 66*w**4 + 2*w**5 + 2*w**5 - 6*w**5 + (w - 2*w**3 - w)*(6*w + 7*w**2 - 6*w). 128*w**5 Expand (-3 - 2 + 1)*(0*f**2 - 4*f**2 - 3*f**2) + (-6 - 2*f + 0*f + 3*f)*(2*f - f - 7*f) + 2*f**2 + f**2 + 0*f**2. 25*f**2 + 36*f Expand (3*u**2 + 0*u**2 - u**2)*(-8 + 416346*u - 208274*u - 208286*u)*(-3*u + 0*u + 4*u). -428*u**4 - 16*u**3 Expand (-4 + y + 4)*(-2 - 2*y + 2) - y**2 + 5*y**2 - 3*y**2 - y**2 + y**2 + 2*y**2 + (646 + 764 - 1265)*(50 - 12*y**2 - 50). -1739*y**2 Expand (4 - 2*v**2 - 4)*(122*v - 124*v + 237*v)*(0 + 2 - 1)*(2 - 7 - 2) - v**3 - 2*v**3 + 0*v**3. 3287*v**3 Expand (3 + m**3 - 3)*(31*m + 16*m + 11*m) + 68*m**4 + m**4 + 0*m**4 + (-2 + 2 + m**3)*(-1 - 2*m + 1) + 0*m**4 - m**4 + 0*m**4. 124*m**4 Expand (2*a**3 - a**3 - 2*a**3)*(-1181*a**2 - 387*a**2 - 3472*a**2). 5040*a**5 Expand (929 - 2*f - 1855 + 824)*(4 - 4 - 3*f). 6*f**2 + 306*f Expand (241*z**3 - 800*z**3 - 1526*z**3)*(-3 - z**2 + 3). 2085*z**5 Expand (-q**3 + 3*q**3 - 3*q**3)*((0 - 4 + 6)*(-1 + 4 - 5) + 340 + 781 + 59). -1176*q**3 Expand -11*w**4 + 0*w**4 + 3*w**4 + (-5*w + 5*w + 13*w**2)*(-2*w**2 + w**2 - w**2). -34*w**4 Expand ((0*k + 3*k - 5*k)*(-1 - 1 - 4) + 2*k + 0*k + 3*k)*(-3 - 2 + 4)*(28*k + 26 - 26). -476*k**2 Expand (22*k - 36*k + 50*k)*(582*k + 561*k - 852*k). 10476*k**2 Expand 7*w**2 - 21*w**2 + 0*w**2 + (-2*w - 3*w + 6*w)*(2 - w - 2) + (w**2 + 0*w**2 - 2*w**2)*(2 + 0 - 6)*(2 + 1 - 5). -23*w**2 Expand (-4*d**3 + d**4 + 4*d**3)*(-2*d - 3*d + d) + 94*d**5 + 14*d**5 + 2*d**5. 106*d**5 Expand (-2*h + 5*h - h)*(1 + h**2 - 1) + 0*h**3 + 0*h**3 + 2*h**3 + 2*h + 2209*h**3 + 2293763 - 2293763. 2213*h**3 + 2*h Expand (1 - 2 + 0)*(27*s + 472*s + 424*s). -923*s Expand (529 - 106 + 129)*(2*u**5 + 2*u**3 - 2*u**3) + (-1 + 1 + 2*u)*(-8*u**4 + 19*u - 19*u) + 3*u**3 - u**5 - 3*u**3 + (-3*u + 3*u + 2*u**2)*(2 - 2 - 2*u**3). 1083*u**5 Expand -104943 - a**3 + 52467 - a**2 + 52697 + (-2*a**3 + 5*a**3 - a**3)*(-3 - 1 + 2). -5*a**3 - a**2 + 221 Expand (176 - 718*j - 176)*(2*j**2 - 2*j**2 + 2*j**3 - 2*j**2). -1436*j**4 + 1436*j**3 Expand (4*q + 3*q - 5*q + 2)*((-4 + 1 + 1)*(2 - 2*q - 2) - 23*q + 26 - 26). -38*q**2 - 38*q Expand (-2*v**2 + 0 + 0)*(-14*v + v + 0*v) + (-4 - 4*v**2 + 2 + 4*v + 3)*
{ "pile_set_name": "DM Mathematics" }
? 3, 157, 419 What are the prime factors of 13190544? 2, 3, 139, 659 What are the prime factors of 12067898? 2, 1283, 4703 What are the prime factors of 5894356? 2, 13, 263, 431 List the prime factors of 11644928. 2, 2843 What are the prime factors of 533672? 2, 19, 3511 List the prime factors of 157718. 2, 11, 67, 107 What are the prime factors of 884902? 2, 23, 19237 What are the prime factors of 1301134? 2, 650567 What are the prime factors of 1096132? 2, 274033 List the prime factors of 1572903. 3, 174767 List the prime factors of 3387426. 2, 3, 7, 59, 1367 List the prime factors of 218636. 2, 11, 4969 List the prime factors of 1346474. 2, 223, 3019 List the prime factors of 391093. 113, 3461 List the prime factors of 214371. 3, 23819 What are the prime factors of 10161892? 2, 13, 73, 2677 List the prime factors of 2003613. 3, 523, 1277 List the prime factors of 1104987. 3, 13, 29, 977 List the prime factors of 157082. 2, 78541 What are the prime factors of 2899755? 3, 5, 64439 List the prime factors of 518693. 7, 74099 What are the prime factors of 393150? 2, 3, 5, 2621 What are the prime factors of 5731922? 2, 7, 23, 2543 List the prime factors of 14605384. 2, 1825673 List the prime factors of 449603. 7, 11, 5839 What are the prime factors of 3937485? 3, 5, 23, 101, 113 List the prime factors of 36821281. 7, 5260183 What are the prime factors of 609132? 2, 3, 23, 2207 List the prime factors of 32833323. 3, 59, 20611 List the prime factors of 468314. 2, 7, 11, 3041 What are the prime factors of 7144797? 3, 11, 216509 What are the prime factors of 27361354? 2, 13680677 What are the prime factors of 3843591? 3, 367, 3491 What are the prime factors of 19554202? 2, 1117, 8753 List the prime factors of 193061. 11, 17551 List the prime factors of 343304. 2, 13, 3301 List the prime factors of 14517141. 3, 4839047 List the prime factors of 3260313. 3, 7, 7393 What are the prime factors of 1271998? 2, 7, 13, 29, 241 List the prime factors of 9160472. 2, 1145059 List the prime factors of 723064. 2, 19, 67, 71 List the prime factors of 1210116. 2, 3, 31, 3253 List the prime factors of 2359105. 5, 7, 9629 What are the prime factors of 10921373? 10921373 What are the prime factors of 8774953? 11, 31, 25733 What are the prime factors of 8928985? 5, 13, 137369 What are the prime factors of 2082841? 37, 41, 1373 List the prime factors of 254662. 2, 127331 List the prime factors of 7756329. 3, 7, 433, 853 List the prime factors of 9446096. 2, 11, 191, 281 List the prime factors of 10530040. 2, 5, 53, 4967 What are the prime factors of 5529621? 3, 1843207 List the prime factors of 120574. 2, 19, 167 What are the prime factors of 89752? 2, 13, 863 What are the prime factors of 1229712? 2, 3, 11, 17, 137 List the prime factors of 124724. 2, 31181 What are the prime factors of 7385193? 3, 820577 What are the prime factors of 15248026? 2, 29, 262897 What are the prime factors of 311676? 2, 3, 19, 1367 What are the prime factors of 161966? 2, 7, 23, 503 What are the prime factors of 2966301? 3, 13, 313 What are the prime factors of 35959867? 71, 571, 887 List the prime factors of 1102404. 2, 3, 91867 List the prime factors of 7389196. 2, 37, 49927 List the prime factors of 283136. 2, 7, 79 List the prime factors of 119597. 41, 2917 List the prime factors of 864864. 2, 3, 7, 11, 13 List the prime factors of 234891. 3, 26099 What are the prime factors of 1349635? 5, 7, 38561 What are the prime factors of 1837571? 251, 7321 List the prime factors of 6012. 2, 3, 167 What are the prime factors of 1135290? 2, 3, 5, 13, 41, 71 What are the prime factors of 160608? 2, 3, 7, 239 What are the prime factors of 102806? 2, 11, 4673 List the prime factors of 1346903. 23, 157, 373 List the prime factors of 124112. 2, 7757 What are the prime factors of 3317155? 5, 31, 21401 List the prime factors of 6907612. 2, 1726903 What are the prime factors of 217885? 5, 43577 What are the prime factors of 10312739? 31, 79, 4211 What are the prime factors of 1541380? 2, 5, 77069 List the prime factors of 140604. 2, 3, 11717 What are the prime factors of 87041? 87041 What are the prime factors of 843618? 2, 3, 140603 What are the prime factors of 520974? 2, 3, 103, 281 What are the prime factors of 149954? 2, 7, 10711 What are the prime factors of 10292730? 2, 3, 5, 7, 23, 2131 List the prime factors of 325079. 325079 List the prime factors of 1883731. 1883731 What are the prime factors of 16653? 3, 7, 13, 61 List the prime factors of 382210. 2, 5, 37, 1033 List the prime factors of 330865. 5, 66173 What are the prime factors of 450936? 2, 3, 6263 What are the prime factors of 1968483? 3, 11, 59651 List the prime factors of 1977443. 13, 152111 What are the prime factors of 1155511? 7, 383, 431 List the prime factors of 5494333. 13, 263, 1607 What are the prime factors of 17494784? 2, 37, 1847 List the prime factors of 18632924. 2, 97, 48023 What are the prime factors of 47732? 2, 11933 What are the prime factors of 111183? 3, 37061 List the prime factors of 602930. 2, 5, 60293 List the prime factors of 63602. 2, 7, 11, 59 List the prime factors of 7501409. 19, 394811 List the prime factors of 5789476. 2, 7, 11, 18797 List the prime factors of 81698. 2, 40849 List the prime factors of 415143. 3, 193, 239 What are the prime factors of 19952791? 19952791 List the prime factors of 419001. 3, 11, 12697 List the prime factors of 5284. 2, 1321 List the prime factors of 6225336. 2, 3, 13, 739 What are the prime factors of 1566434? 2, 73, 10729 List the prime factors of 528430. 2, 5, 7, 7549 What are the prime factors of 243806? 2, 139, 877 What are the prime factors of 248590? 2, 5, 24859 List the prime factors of 102127. 73, 1399 What are the prime factors of 1142930? 2, 5, 37, 3089 What are the prime factors of 217147? 7, 67, 463 List the prime factors of 32701. 53, 617 List the prime factors of 50897. 7, 11, 661 What are the prime factors of 740221? 19, 38959 List the prime factors of 13483910. 2, 5, 11, 37, 3313 List the prime factors of 27403889. 27403889 List the prime factors of 198000. 2, 3, 5, 11 What are the prime factors of 18762657? 3, 31, 229, 881 List the prime factors of 11535955. 5, 2307191 What are the prime factors of 16960490? 2, 5, 43, 39443 What are the prime factors of 627680? 2, 5, 3923 What are the prime factors of 19977456? 2, 3, 43, 9679 List the prime factors of 186287. 107, 1741 What are the prime factors of 692367? 3, 13, 41, 433 List the prime factors of 10994776. 2, 13, 71, 1489 List the prime factors of 1711693. 47, 79, 461 What are the prime factors of 1085618? 2, 79, 6871 What are the prime factors of 282847? 282847 List the prime factors of 299635. 5, 7, 1223 What are the prime factors of 1705291? 7, 243613 List the prime factors of 7765703. 11, 705973 List the prime factors of 12094574. 2, 6047287 What are the prime factors of 1865911? 1865911 What are the prime factors of 1133393? 727, 1559 List the prime factors of 413689. 413689 What are the prime factors of 319203? 3, 29, 1223 List the prime factors of 1634758. 2, 817379 What are the prime factors of 220593? 3, 23, 139 List the prime factors of 661023. 3, 11, 607 What are the prime factors of 503263? 23, 21881 List the prime factors of 103202. 2, 11, 4691 What are the prime factors of 13602651? 3, 19, 167, 1429 What are the prime factors of 391865? 5, 181, 433 List the prime factors of 697658. 2, 13, 26833 List the prime factors of 5392804. 2, 317, 4253 What are the prime factors of 1192588? 2, 397, 751 List the prime factors of 386223. 3, 17, 7573 What are the prime factors of 2480658? 2, 3, 413443 List the prime factors of 2774719. 2774719 What are the prime factors of 7115397? 3, 157, 15107 List the prime factors of 59992. 2, 7499 What are the prime factors of 45526? 2, 13, 17, 103 What are the prime factors of 7528758? 2, 3, 1254793 List the prime factors of 17439126. 2, 3, 2906521 List the prime factors of 13855. 5, 17, 163 List the prime factors of 607663. 7, 47, 1847 List the prime factors of 13794402. 2, 3, 191, 12037 List the prime factors of 10282221. 3, 61, 2081 List the prime factors of 3724856. 2, 353, 1319 What are the prime factors of 2359897? 37, 63781 List the prime factors of 5938291.
{ "pile_set_name": "DM Mathematics" }
= -118*x - 30*x for x. 4 Solve -169*u + 2232 = 1324 - 1627 for u. 15 Solve 0 = 139*i + 286*i + 2125 for i. -5 Solve 114*w - 1105 = 201 - 166 for w. 10 Solve -341429 = -37*o - 340060 for o. 37 Solve -25*q + 11541 + 420 = -468*q for q. -27 Solve -8*w - 1634 = -36*w + 71*w for w. -38 Solve 77*a + 26 = 588 + 208 for a. 10 Solve -92*f + 244 - 152 = 0 for f. 1 Solve 12*n = 80471 - 80399 for n. 6 Solve -29*q + 156*q - 3213 = -1054 for q. 17 Solve 850*o - 715*o + 622 + 53 = 0 for o. -5 Solve -53*r + 19*r = -12*r - 374 for r. 17 Solve 849*i - 2304 = 993*i for i. -16 Solve 0*q + 2*q + 7*q = 2*q for q. 0 Solve -326*n = 140*n for n. 0 Solve 54*f + 660 = -f for f. -12 Solve -18*w + 73 = 145 for w. -4 Solve -55*m = -27*m - 16*m + 132 for m. -11 Solve -12200 = -375*h + 27*h - 140*h for h. 25 Solve 28*r - 136*r + 216 = 0 for r. 2 Solve 247*l + 1774 + 1083 + 1095 = 0 for l. -16 Solve -3*u = 40*u + 645 for u. -15 Solve 44300 = 728*q - 2500*q for q. -25 Solve -17*t - 2 = -14*t - 8 for t. 2 Solve 79*d = -70*d - 745 for d. -5 Solve -33325 = 29*n + 1046*n for n. -31 Solve -627 = 41*i - 31 + 60 for i. -16 Solve 499 + 336 + 370 = -241*s for s. -5 Solve -36*g + 22*g - 552 = 10*g for g. -23 Solve 0 = -51*x + 229 + 6 + 377 for x. 12 Solve -429*t + 3502 = -97*t - 4466 for t. 24 Solve 20*k + 236 + 250 = 186 for k. -15 Solve 0 = 50*i + 30914 - 29864 for i. -21 Solve 409*a + 850 = 1352 + 1543 for a. 5 Solve 0 = -214723*o + 214717*o - 132 for o. -22 Solve 53*k - 4475 = 948*k for k. -5 Solve 10*f = 2331 - 2351 for f. -2 Solve 2*f + 117387 = 117317 for f. -35 Solve -103*i = -218 - 2369 + 527 for i. 20 Solve 590 = 195*o - 385 for o. 5 Solve 0 = 895*d - 5784 - 4061 for d. 11 Solve 28080 = -962*o - 353*o + 235*o for o. -26 Solve -9*d - 21 = -20*d - 10 for d. 1 Solve 9*c + 22*c = -9*c - 640 for c. -16 Solve 12*s + 23 = s - 131 for s. -14 Solve 1743 - 5883 = -138*t for t. 30 Solve 30*h - 10*h + 2 = -238 for h. -12 Solve 256 = -36*g - 57 - 47 for g. -10 Solve 49*v - 817 = -523 for v. 6 Solve -3094 = 105*w + 38*w - 24*w for w. -26 Solve 16*h = -496 + 240 for h. -16 Solve -26*j + 486 = 28*j for j. 9 Solve 0 = 23*s + 28*s + 816 for s. -16 Solve -3187 = 821*l + 1733 + 6 for l. -6 Solve 17*b + 3528 = -6*b - 75*b for b. -36 Solve -10280 - 1795 = 411*l - 66*l for l. -35 Solve 156*c + 2091 + 3684 = 541*c for c. 15 Solve 10063*s - 10078*s = 75 for s. -5 Solve 64*b = -37*b - 494 - 2233 for b. -27 Solve 226 = -158*w - 248 for w. -3 Solve -g + 13533 = 13571 for g. -38 Solve 3107 = 30796*d - 31035*d for d. -13 Solve -52*z - 12 - 352 = 0 for z. -7 Solve 10*u + 233 = -476 + 979 for u. 27 Solve -2436 = 241*z - 67*z for z. -14 Solve -1590*i + 1512*i - 1014 = 0 for i. -13 Solve 96 = -2596*n + 2580*n for n. -6 Solve -54 = -8*f - 3 + 85 for f. 17 Solve -1929*x = -2076*x - 3690 + 309 for x. -23 Solve 84*v + 177 = 48*v - 3 for v. -5 Solve 38*v - 56 = -45*v + 69*v for v. 4 Solve 0 = 517*g - 506*g + 33 for g. -3 Solve -t + 680 = -6*t - 35*t for t. -17 Solve 1529*h - 1004 = 1440*h - 3318 for h. -26 Solve 184 = -167*o + 17 for o. -1 Solve 168*g - 1073 + 278 = 2061 for g. 17 Solve 102*u - 270*u = 222*u + 10530 for u. -27 Solve -143*a + 2397 = -2*a for a. 17 Solve -36*w - 74*w = -1980 for w. 18 Solve 18*b - 15*b = -12 for b. -4 Solve 19*w + 36 - 12 = -527 for w. -29 Solve -186*b = -59*b - 254 for b. 2 Solve 52*x + 105 + 467 = 0 for x. -11 Solve 0 = 12*i - 65*i - 583 for i. -11 Solve 2*b - 814 + 822 = 0 for b. -4 Solve -368*v - 2698 = 3558 for v. -17 Solve 503*v + 85*v - 12740 = 98*v for v. 26 Solve 2033 - 1801 = 58*p for p. 4 Solve 361*d + 11832 = 13*d for d. -34 Solve -2842 = 171588*w - 171490*w for w. -29 Solve 21*b + 592 = 3*b - 19*b for b. -16 Solve 8 = 8*x - 17 + 73 for x. -6 Solve 14*n = 7*n + 8*n + 10*n for n. 0 Solve 77*b = 40*b - 94*b + 3537 for b. 27 Solve -134*v + 1314 - 3592 = 0 for v. -17 Solve 10594*g - 10600*g = -102 for g. 17 Solve 205*n + 983 = 35*n + 133 for n. -5 Solve 0 = -156*x - 891 - 941 - 196 for x. -13 Solve 215*b - 2728 - 3703 + 626 = 0 for b. 27 Solve -817 + 339 = 77*k + 1216 for k. -22 Solve -110 = 15*t + 70 for t. -12 Solve -224*u + 98*u = -118*u + 16 for u. -2 Solve 253*y + 3211 = -1090 for y. -17 Solve 1001 = -308*a - 810 - 1577 for a. -11 Solve -949*k = 31561 + 705 for k. -34 Solve -25*u = -1575 + 1875 for u. -12 Solve -837318*h + 837326*h = 88 for h. 11 Solve -13*k + 63 - 89 = 0 for k. -2 Solve 130 = -39*v - 377 for v. -13 Solve 0 = -u - 81 + 33 + 29 for u. -19 Solve 11*u - 7*u + 31 = 19 for u. -3 Solve -135*v + 416*v = -362*v + 8359 for v. 13 Solve 121*p - 180 = 106*p for p. 12 Solve -b = -106*b - 166 - 44 for b. -2 Solve 14 = 163*b - 126 - 186 for b. 2 Solve 0 = 173228*u - 173274*u - 966 for u. -21 Solve 0 = -7*b - 2998 + 2942 for b. -8 Solve -33*c + c + 218 + 166 = 0 for c. 12 Solve -11*z - 315*z = 537*z - 237*z for z. 0 Solve 0 = -6*c - 14*c + 3*c - 119 for c. -7 Solve -21*x + 893 = -44*x - 24*x for x. -19 Solve -15*n - 8*n + 50 - 326 = 0 for n. -12 Solve 73*a = 21*a + 624 for a. 12 Solve 0 = 43*c + 502 - 373 for c. -3 Solve 120 = 1797*j - 1785*j for j. 10 Solve 8*f - 4016 = -4064 for f. -6 Solve -192 + 530 = -339*a + a for a. -1 Solve -133*y - 95 = 1368 for y. -11 Solve -197 = -120*u + 523 for u. 6 Solve -841180*n - 104 = -841206*n for n. 4 Solve 51*i = -4*i + 550 for i. 10 Solve -28*h + 58*h = -453 + 3 for h. -15 Solve 67 = -60*u + 51*u + 13 for u. -6 Solve -127*l + 393*l = -217*l - 4347 for l. -9 Solve 36*r - 28*r - 15 = -111 for r. -12 Solve -4*s + 22 = -11*s - 90 for s. -16 Solve -19*o - 534 = -72*o + 261 for o. 15 Solve -210*n - 846 - 937 = -313 for n. -7 Solve 111*k - 4440 = 114*k + 182*k for k. -24 Solve -67*c + 63 = -4 for c. 1 Solve 1147 = -314*b - 6421 - 910 for b. -27 Solve 0 = 84*n - 47 - 121 for n. 2 Solve -64*q + 171*q = 588*q - 1443 for q. 3 Solve -130*r - 767 + 4456 = 309 for r. 26 Solve 0 = 2*v + 16145 - 16127 for v. -9 Solve -965*c - 3091 = 8489 for c. -12 Solve -768*n = -772*n - 64 for n. -16 Solve -163*t + 3646 - 875 = 0 for t. 17 Solve 26*x - 468 = 5*x + 73*x for x. -9 Solve 7497 = 374*r + 293*r - 1841 for r. 14 Solve 2036 = -582*o - 292 for o. -4 Solve 165*d - 163*d + 18 = 0 for d. -9 Solve 0 = 7147*w - 7513*w - 2196 for w. -6 Solve 151 = -77*v - 32*v + 42 for v. -1 Solve 1067*b + 13248 = 7138 - 30168 for b. -34 Solve 5*c + 860 = 91*c for c. 10 Solve -15*d + 8*d = 6*d + 26 for d. -2 Solve -42592*i + 42590*i = -34 for i. 17 Solve -2680*u + 12 = -2676*u for u. 3 Solve -3524*a = -3923*a + 2394 for a. 6 Solve 24*j + 251 = 203 for j. -2 Solve 49*p - 69*p = 60 for p. -3 Solve 186*s + 1697 = -721 for s. -13 Solve -109*n + 57*n + 68*n = -32 for n. -2 Solve -34*x - 78 = -8*x for x. -3 Solve 10*b + 325 = -56*b + b for b. -5 Solve -167*s + 626 = 23*s - 324 for s. 5 Solve 351 - 871 = 20*g + 6*g for g. -20 Solve 1238*u - 1185*u - 1060 = 0 for u. 20 Solve 101*w = -426 - 1113 + 327 for w. -12 Solve -353*l = 1364 + 5895 - 1258 for l. -17 Solve -107*o + 171 - 1559 = 859 for o. -21 Solve -208*b - 2845 + 603 - 670 = 0 for b. -14 Solve -14631*l + 42 = -14625*l - 90 for l. 22 Solve 838*v - 165 = 823*v for v. 11 Solve 13*i + 68 = i - 16 for i. -7 Solve -36*l + 15*l + 825 = 54*l for l. 11 Solve -6*v + 61 = 97 for v. -6 Solve 21*v + 36 + 30 = -18 for v. -4 Solve 0 = 10*a + 25*a + 360901 - 362021 for a. 32 Solve 448*i = 311 + 585 for i. 2 Solve 36*y + 2155 = -87*y + 556 for y. -13 Solve -519*j - 6204 = -2*j for j. -12 Solve -7*u - 16*u + 255 = 62*u for u. 3 Solve 61*t - 705 = -1071 for t. -6 Solve 103*d = -116*d + 219 for d. 1 Solve 39 - 62 = -23*p for p. 1 Solve 0 = 58*c + 5*c + 70 + 56 for c. -2 Solve 22*v - 7*v - 110 = -40*v for v. 2 Solve -2666 = -645*f - 2979 - 6137 for f. -10 Solve 0 = -338*v - 1591 + 5309 for v. 11 Solve 15*u - 5*u = -6*u + 192 for u. 12 Solve 0 = -89*g - 77284 + 75771 for g. -17 Solve -2496*y = -2488*y - 64 for y. 8 Solve 34*w = 80*w - 39*w for w. 0 Solve 1059*m = 1041*m + 216 for m. 12 Solve -52*d - 135 = 21 for d. -3 Solve 423*u - 255 = 406*u for u. 15 Solve -80*t - 20301 = -20861 for t. 7 Solve 898 = -t + 890 for t. -8 Solve -12 = 20*q - 138 - 94 for q. 11 Solve 221 = 27*y + 110 + 84 for y. 1 Solve 0 = -24*b + 51*b - 189 for b. 7 Solve 27*t - 2 - 735 = -116 for t. 23 Solve 29 - 69 + 35 = -5*y for y. 1 Solve 84 - 374 = 41*f + 202 for f. -12 So
{ "pile_set_name": "DM Mathematics" }
x(j) = 2 - 3 + 11*j + 0. Let t = 107 + -108. Determine x(t). -12 Let l = -93 - -95. Let h(f) be the first derivative of -1/3*f**3 - 3/2*f**2 + l + f. What is h(-5)? -9 Let b(z) = 2*z**2 - 4. Suppose -25*k = -26*k + 4. Calculate b(k). 28 Let q = 8 + -6. Let i(j) = 4 + j**3 + 6*j**2 - 5*j - 2 - 10*j**q. Determine i(5). 2 Let f = -2 + -1. Let u(s) = -5*s**3 + 4*s**2 + 3*s. Let c(v) = 2*v**3 + 1. Let z(n) = 3*c(n) + u(n). Give z(f). 3 Suppose -4*j = 4*d - 88, 3*j + 25 = 8*j. Let n = d - 21. Let u(w) = 2*w + 5. Determine u(n). -3 Let k(t) be the first derivative of 2/3*t**3 + 3/2*t**2 + 2 + 1/20*t**5 + t + 1/4*t**4. Let i(f) be the first derivative of k(f). Calculate i(-2). -1 Let i be (-1)/(-2)*3*-2. Let f(z) = z. Let t(o) = -2*o + 6. Let r(a) = i*f(a) - t(a). Let n be -3*(-1)/4*-4. Give r(n). -3 Suppose -2*g = -4*t + 18, 2*t - 6 = -4*g + 8. Let b(x) = -3 + 8 - x + 0. Give b(t). 0 Suppose 3*f = 5*f + 4, 0 = -5*v + 4*f + 33. Let p(c) be the third derivative of c**5/60 - c**4/4 - c**3/6 - 107*c**2. Give p(v). -6 Let g(m) be the third derivative of m**7/840 - m**6/90 - m**5/20 + m**4/6 - m**3/2 + 5*m**2. Let c(z) be the first derivative of g(z). What is c(5)? -1 Let a(k) = k + 4. Let c be (-1)/(-4) - (-9)/(-36). What is a(c)? 4 Let t be 5 - (2 + 0)*-1. Let v(y) = 3*y - 5. Let o(s) = 2*s - 3. Let x(z) = t*o(z) - 5*v(z). What is x(0)? 4 Suppose 2*u - 7 = 5*f, 0 = -0*f + 2*f + 2*u. Let o be (-2)/(-13) + 141/13. Let b(r) = -o*r - 2 + 1 + 16*r. Give b(f). -6 Let u(j) = -2*j + 5. Let t be ((-9)/(-15))/(2/10). Let f(w) = w - 1. Let c(p) = t*f(p) + u(p). What is c(2)? 4 Let t(b) = b**3 - 4*b**2 + 4*b - 4. Suppose -3*k + 1 = q, -4*q - 4*k + 0 = -12. Calculate t(q). 12 Suppose 24 = -3*l + 3*s, s - 37 = 5*l - 9. Let h(m) = -m - 10. Give h(l). -5 Let y(i) = -3*i**2 - 4*i - 2. Let m(a) = -a - 1. Let c be m(-5). Suppose -c*w - w = 10. What is y(w)? -6 Let w = 3 + -10. Let c(n) = 4*n - 2. Let y(s) = 5*s - 2. Let h(o) = w*c(o) + 6*y(o). Calculate h(2). 6 Let x(q) = q + 6. Suppose 0 = -8*r + 13*r + 35. What is x(r)? -1 Let v(a) = -3*a - 5. Let q(b) = b + 1. Let g(d) = -2*q(d) - v(d). Determine g(4). 7 Let b = 8 + 2. Let q(c) = -13*c**3 + c + 0*c + b*c**3. What is q(1)? -2 Let n(m) be the third derivative of m**3 + 1/60*m**5 + 0*m + 0 + 0*m**4 - 1/120*m**6 + 2*m**2. Calculate n(0). 6 Suppose 8 = -2*h, -46 - 78 = -2*k + h. Let w(a) = 2*a**2 - 2*a + 2. Let p be w(3). Let y be k/(-14) - (-4)/p. Let c(j) = -j**3 - 4*j**2 + j + 5. Calculate c(y). 1 Let z(t) = 3*t**3 + t**2 - 1. Let y = 144 + -145. What is z(y)? -3 Let g(f) = -4 - f + 0*f + 5*f - 3*f + f**2. Suppose 5*l - 16 = 9. Let c = l + -9. Determine g(c). 8 Let c(u) = -2*u - 7. Let j be 5*(-3)/(5 - 2). What is c(j)? 3 Let a be 3*((-4)/6)/(-2). Let s(x) = -4*x + x - a - 3*x. Calculate s(-1). 5 Let i(u) = -u**2 - 10*u + 2. Let g be (9/(-6) + 2)*8. Let b(r) = -r. Let x(n) = g*b(n) - i(n). What is x(-5)? -7 Let u(l) = l - 3. Let h = 49 + -35. Let x = h + -8. Give u(x). 3 Let j(r) = r**3 + r**2 + 2*r. Let l be -1 + (-1*12)/(-2). Suppose -l*p = -3*v - 31, -v - p + 18 = 3*p. Determine j(v). -8 Let x(d) be the third derivative of d**7/1260 + d**6/360 + d**5/60 - d**4/8 - d**2. Let o(g) be the second derivative of x(g). Determine o(-2). 6 Let y(v) = 15*v**2 - 27*v - 4. Let r(q) = -7*q**2 + 13*q + 2. Let z(d) = 13*r(d) + 6*y(d). What is z(7)? 2 Let d(h) = h**3 - 7*h**2 + 6*h - 5. Suppose -4*o - 3*w = -27, o + 21 = 5*o - 3*w. Calculate d(o). -5 Let j(d) = 3*d**2 - 2*d - 1. Let x(q) = 24*q - 2*q**2 - 14*q - q**3 - 8*q**2 - 12. Let i be x(-11). Give j(i). 4 Suppose l = 5*o - 6 + 4, -2*l - 4 = -4*o. Let g(f) = 2*f + 1. Give g(l). -3 Let z be 2 + 0 - (-5 + 2). Let j(g) = g**2 - 6*g + 6. What is j(z)? 1 Suppose -6*s + s + 15 = 0. Let d be ((-16)/24)/((-1)/3). Let j(b) = 4 - 6 - b**d + 2*b + b**s + 6*b**2. Give j(-4). 6 Let z(m) = 2*m - 10. Let w be z(8). Let f(v) = -v. Let y(x) = -5*x - 6. Let u(t) = w*f(t) - y(t). Give u(4). 2 Let b(u) = 2*u. Let d(x) = x. Let m(z) = -2*b(z) + 3*d(z). What is m(-5)? 5 Let h = 34 + -15. Let g(r) = -h - 15*r + 7*r + 19. Calculate g(-1). 8 Let a(m) = 20 - 24 + m + 12. Calculate a(-7). 1 Let x(a) be the second derivative of 1/3*a**3 - 3/2*a**2 + 2*a + 0. What is x(5)? 7 Let t(q) = q + 1. Let w be t(-6). Let k(i) = 19251 - 19258 - 4*i**2 + 3*i**2 - 6*i. Give k(w). -2 Let u(b) = -7*b**3 - 4*b**2 + 8*b - 2. Let v(t) = -1 - t - 2*t**3 + t**3 + 2*t. Suppose -6 = 3*q - 3. Let x(w) = q*u(w) + 6*v(w). Determine x(-4). 4 Let s(n) = -2*n**2 + 4*n + 3. Let o(k) = -4 - 4*k + 0 + 2 + 2*k**2. Let w(d) = 5*o(d) + 4*s(d). Suppose -4 = 5*z - 14. Give w(z). 2 Let u be 267/21 - (-4)/14. Let h = u - 8. Let a(x) = -3*x - 6 + 7*x**2 + 4*x + x**3 + h*x. Give a(-6). -6 Let w(o) = -o + 7. Let k be w(7). Let f(l) be the third derivative of 0 - 2/3*l**3 + k*l + 1/60*l**5 + 2*l**2 + 1/6*l**4. What is f(-5)? 1 Let j(f) be the second derivative of -f**4/24 + f**3/2 + 3*f**2 + 3*f. Let o(c) be the first derivative of j(c). Calculate o(-4). 7 Let u(r) be the third derivative of r**6/120 + r**5/12 + r**4/24 + 2*r**3/3 + 2*r**2. Suppose 3*t = -2*k - 13, -3*t + 0*t = 5*k + 28. What is u(k)? -1 Let j be 0 + 3 + -2 + 1. Let v(x) = x**2 + 0*x + 2 - 1 + 6*x + j. Determine v(-3). -6 Let j be -3 - (0 - 1)*6. Let w(s) be the first derivative of s**3/3 - s**2/2 + 2*s - 1. What is w(j)? 8 Let r(k) = -5*k. Suppose 2*j - 3*c - 1 = 0, -2*j + 3*j + 5*c + 6 = 0. Give r(j). 5 Let z(d) = d**3 - d. Let k(y) = 5*y**3 + 5*y**2 - 10*y - 5. Let j(x) = k(x) - 6*z(x). Calculate j(4). -5 Suppose 13 + 2 = 5*o. Let d(w) = -9*w. Let y be d(1). Let i be 0/(5 + y/o). Let c(h) = -h**3 + h - 3. Give c(i). -3 Let q(h) = h**2 + 4*h - 1. Let g(s) = -2*s**2 - 5*s + 2. Let l(o) = 2*g(o) + 3*q(o). What is l(-1)? -2 Let s(j) = 2*j + 9. Let p be (-8)/(-10)*(-60)/8. Determine s(p). -3 Let c(q) = -2*q**2 + 4*q - 1. Let x = 1 + -3. Let r = x + 5. Determine c(r). -7 Let i(y) = -y + 3. Let h(k) = k - 1. Let j be h(4). Suppose 4*p + 4*w - j + 7 = 0, 5*p = -w - 17. Calculate i(p). 7 Suppose 2*y = 3*i + i - 22, 0 = i - 1. Let o(c) = c**3 + 8*c**2 - 8*c + 13. Give o(y). 4 Let n(u) = u**2 + 5*u - 3. Suppose w - 5*i + 2 = 0, -4*i + 17 = 4*w + i. Let v(m) = -m - 3. Let a be v(w). Calculate n(a). 3 Let m(v) = v + 7. Let p = -2 - -4. Let k(f) = -7 - 1 - 3 - p*f - 4. Let b(a) = -6*k(a) - 13*m(a). Give b(1). -2 Let j(k) = k**2 + 4*k**2 - 2*k + 2 - 6*k**2 + k. Calculate j(0). 2 Let a(t) = -4*t + 5*t - 3 + 7. Let n = 9 - 12. Give a(n). 1 Let r = -10 + 12. Let l(z) = -z - 2. Let u(k) = -2*k - 3. Let b(s) = -5*l(s) + 4*u(s). Calculate b(r). -8 Suppose d + 13 = -s + 4*s, 9 = 2*d + s. Let j(f) = 7*f + 0*f**2 + f**3 + 6*f**d + 0*f**2 + 0*f + 7. What is j(-5)? -3 Let d(r) = r + 3. Let k = 9 - 5. Suppose 12 = -a - 2*w, -k*a + 3*w = 7 - 3. Determine d(a). -1 Let c(r) be the first derivative of -1/3*r**3 - 7/2*r**2 + 7 - 9*r. What is c(-6)? -3 Let p(v) = v - 1. Let s = 1 + 1. Suppose 6*c = s*c - 8. Let x be 2/1 - (4 - c). Give p(x). -5 Let u(l) = l**2 - 6*l - 12. Suppose 0 = 5*q - 34 - 1. Let d(o) = -o**2 + 6*o + 11. Let p(y) = q*d(y) + 6*u(y). Give p(6). 5 Let g(t) = 6*t**2 - 36*t + 14. Let o(u) = u**2 - 7*u + 3. Let k(b) = 2*g(b) - 11*o(b). Give k(-6). 1 Let h be -3*(-4)/21*7. Let x(a) = a. Give x(h). 4 Let z be 2 + -5 + (2 - 10/(-2)). Let x(o) = o**3 - 3*o**2 - 4*o + 1. What is x(z)? 1 Suppose 0 = -2*s - 0*s - 16. Let t = -5 - s. Let j(i) = 2*i + 2*i - 1 + i - t*i. What is j(5)? 9 Let j(z) = 4*z - 58. Let c be j(13). Let g(d) = d + 5. What is g(c)? -1 Let k(c) = -c**2 + 5*c - 4. Let x be k(3). Let w be x/(-8) + 65/20. Let b(n) = n**3 - 4*n**2 - n - 1. Give b(w). -13 Suppose 5*i - 2*i = -5*b + 16, -4*b - 2 = -5*i. Let j(t) = -t + 0*t**2 + 0*t**2 + 0*t**2 - t**i + 4. Let g(w) = -w**2 + 3*w. Let s be g(3). What is j(s)? 4 Let q(g) = -g - 7. Suppose 4*n + 484 = -0*n. Let r be 2/3 + n/33. Determine q(r). -4 Let c(q) = 2*q - 4*q + 5*q + 1 - 2*q. Let v(x) = -x - 10. Let d(u) = 3*c(u) + v(u). Calculate d(5). 3 Let d be (-1)/2 + (-4)/8. Let c(z) = -z**2 + z. Let b(y) be the second derivative of -y**4/2 + y**3/6 - 3*y. Let s(j) = b(j) - 2*c(j). What is s(d)? -3 Let g(k) = k + 4. Let z be g(-9). Let a(o) = 3*o. Determine a(z). -15 Let f(r) = r**2 + 6*r + 7. Suppose 19*w = 23*w + 28. Give f(w). 14 Let i(c)
{ "pile_set_name": "DM Mathematics" }
ivided by 28. 26 Suppose 615*n - 221 = 614*n. What is the remainder when n is divided by 9? 5 Suppose 4*z + 20 = 2*q + 2*q, -2*q + 5*z + 25 = 0. Suppose q = -6*k + 50 + 52. Calculate the remainder when k is divided by 15/25*(-1 - -16). 8 Let j = 159 + -67. Suppose 0 = -4*x + 4*a + 64, -5*x + j = -0*a + a. What is the remainder when 69 is divided by x? 15 Suppose 0*j + j - 3*s = -9, 6 = 4*j + 2*s. Suppose 3*z = -2*y + z + 18, j = -2*y + 3*z + 28. Calculate the remainder when 27 is divided by y. 5 Let x = -26 - -44. Suppose 3*g - 35 = -4*g. Suppose g*z + z = 42. What is the remainder when x is divided by z? 4 Let f = -651 - -1115. Calculate the remainder when f is divided by 15. 14 What is the remainder when 58 is divided by 8/100 + -212*(-16)/100? 24 Let b = 43 + 25. Calculate the remainder when b is divided by 170/(-255) - 88/(-6). 12 Let i(k) = k**2 - k + 4. What is the remainder when 12/(((-24)/(-1000))/((-5)/(-25))) is divided by i(-5)? 32 Let u = 127 + -67. Suppose -27*z = -26*z - u. What is the remainder when z is divided by 21? 18 Suppose 4 = 5*b - 6*b. Suppose 4*h + 116 = 6*h. What is the remainder when h is divided by -4 + 2/b*-38? 13 Suppose v + 0 - 3 = 0. Suppose v*r + 3 = 4*r. Suppose -101 = -4*u - r*q, -99 = -5*u - q + 30. What is the remainder when u is divided by 9? 8 Suppose 0*o + 2*o = -2. What is the remainder when (o/2)/((-17)/510) is divided by (-9)/(-6 - -3) + 1? 3 Suppose 8 = -2*c + c + 5*n, 3*n = 4*c - 2. Suppose 4*b - 48 = c*b. Suppose 4*d - 27 = 29. What is the remainder when b is divided by d? 10 Let b be ((-42)/28)/(3/(-26)). Suppose -5*z - 3*l = -5 - 0, 2*z - b = l. Calculate the remainder when 8 is divided by z. 0 Suppose 138*q - 139*q = -413. Suppose -5*f + 427 = -q. Calculate the remainder when f is divided by 17. 15 Let g = 10 + -2. Let j(w) = 7*w**2 - 7*w**3 - 8*w + 9 + 1 + g*w**3 + 1. What is the remainder when 30 is divided by j(-8)? 8 Let h = 231 + -63. Calculate the remainder when h is divided by 34. 32 Suppose 5*m + 0*m = 20. Suppose -5*f - 5*g + 153 = -g, -21 = -f + m*g. What is the remainder when f is divided by 8? 5 Suppose 0*w = -w + 10. Let c = -914 + 973. What is the remainder when c is divided by w? 9 Let j = -1 - -3. Let w(h) = -28*h + 602. What is the remainder when w(21) is divided by j? 0 Let a = 173 - 135. Calculate the remainder when a is divided by 38. 0 Let m(c) = -c**3 + 47*c**2 + 55*c - 312. Calculate the remainder when 471 is divided by m(48). 15 Suppose o = -4*o + 90. Let u = 2535 - 2508. What is the remainder when u is divided by o? 9 Suppose -2*o + 6 + 52 = 0. Suppose -3 = -2*i + o. Suppose -4*y - 5*a = -102 + 3, -114 = -4*y - 2*a. What is the remainder when y is divided by i? 15 Suppose -g - c + 14 = c, 0 = -5*g - 2*c + 30. Suppose -77 + 9 = -g*d. Calculate the remainder when 290/6 - (-4)/6 is divided by d. 15 Let r(i) = i**2 - 18*i + 9. Let w be r(18). Let f = 18 - w. Let s(u) = 5*u**2 + 2*u. Calculate the remainder when s(-2) is divided by f. 7 Let c be -1*(4/(1 + 1) + -2). Calculate the remainder when 6 is divided by (c - (-2)/2) + (-4)/(-2). 0 Let g = -34 + 44. Suppose -2*k = -c + g - 48, 4*c = 8. What is the remainder when k is divided by 11? 9 Suppose 27 = 3*z + 3*c, -3*z - 8*c + 29 = -3*c. What is the remainder when (133/19 - 4/1) + 43 is divided by z? 6 Let y = -1436 + 1468. What is the remainder when 350 is divided by y? 30 Let b = 19 - 19. Suppose -10*y + 12*y - 266 = b. Calculate the remainder when y is divided by 27. 25 Let a = -372 - -405. What is the remainder when 78 is divided by a? 12 Suppose w - 70 = -5*p + 24, -4*w - 3*p + 308 = 0. Calculate the remainder when 141 is divided by w. 67 Calculate the remainder when (-1 + 4 - -13)/((-3)/(-165)) is divided by 21. 19 Let s(r) = -2*r**3 - 17*r**2 - 10*r + 15. What is the remainder when 338 is divided by s(-8)? 28 Let q = 7 + 22. Calculate the remainder when q is divided by 14. 1 Suppose 4*j + w - 106 = 0, -2*j + 2*w - 21 = -69. Calculate the remainder when 856 is divided by j. 24 Suppose -4*r = 4*h + 24, 2*h + 2 = r - 4. Calculate the remainder when ((-110)/h)/((-12)/(-24)) is divided by 28. 27 Calculate the remainder when (-76)/(-1) - -5 - 6/3 is divided by 27. 25 Suppose 5*p = -20, 5*a - 9*a = 3*p - 1436. What is the remainder when a is divided by 73? 70 Let i(b) = 12*b**2 - 9*b - 21. What is the remainder when i(4) is divided by 45? 0 Let i(k) = -k**2 - 6*k + 15. Let v be i(-14). Suppose 80 = -h - 3*t, 2*h + 25 = 3*t - 90. Let a = h - v. Calculate the remainder when 95 is divided by a. 31 Suppose 2*l + 3*l = 0, 2*l = 2*m - 12. Let a(d) = -54*d + 1518. Calculate the remainder when m is divided by a(28). 0 Let z = 67 - 59. Suppose 4*r + 212 = z*r. What is the remainder when r is divided by 28? 25 Let g be 6*4/(-8) + -3. Suppose -r - 36 = -n + 2*r, 0 = n - r - 34. Calculate the remainder when (6 + 129 + g)*1 is divided by n. 30 Suppose 0 = -18*s + 16*s + 8. Suppose -s*a + f = 20 - 87, 4*f - 36 = -3*a. Calculate the remainder when 61 is divided by a. 13 Let d = 2926 - 2903. Calculate the remainder when 6/(-9) - (-134)/3 is divided by d. 21 Let l(j) = -2*j - 18. Let u be l(-19). Suppose -7*y + u = -2*y. Calculate the remainder when 12 is divided by y. 0 Let r = 36 + -34. Suppose 4*j = r*j + 8. Let u(a) = -2*a - 3. Calculate the remainder when u(-7) is divided by j. 3 Suppose 4*k = -2*n - 122, -5*k - 2*n + n - 157 = 0. Calculate the remainder when (91 + k)*2/2 is divided by 21. 17 Suppose 896 = -56*h + 6048. Calculate the remainder when h is divided by 21. 8 Suppose -2*o = 3*s - 14 - 33, 5*s + 3*o - 77 = 0. Let x be -9 + -1 + 0/2. Let i = s - x. Calculate the remainder when i is divided by 12. 11 Let x(j) = -j + 23. Let w(l) = l**2 + 2*l. Let t be w(-3). What is the remainder when 34 is divided by x(t)? 14 Suppose c + 8 = -4*z, 0 = 8*z - 3*z - 5*c - 15. Let a = z + 15. What is the remainder when 83 is divided by a? 13 Let q be 4/7 + 569070/126. Suppose -13*j = -q + 1163. Calculate the remainder when j is divided by 65. 63 Let v = 15 + -21. Let a(l) = -3*l - 9. Let g(d) = d**2 - 3*d + 5. Calculate the remainder when g(5) is divided by a(v). 6 Suppose -15 = 3*a - 4*n, -2*a - 5*n - 7 = 3. Let o(l) = l**2 + 4*l + 3. What is the remainder when 13 is divided by o(a)? 5 Let t = 59 + -36. Suppose -2*y - 63 + t = 0. Calculate the remainder when 31 is divided by ((-48)/(-10))/((-6)/y). 15 Let j = -113 - -114. Let t = 17 - 11. Suppose -t = -3*c - 4*x + x, -5 = -2*c - x. What is the remainder when c is divided by j? 0 Suppose 0 = 6*d - 13*d + 273. Calculate the remainder when 388 is divided by d. 37 Suppose 32*z + 3*z - 2975 = 0. What is the remainder when z is divided by 44? 41 Suppose -13*f + 225 + 321 = 0. Calculate the remainder when 137 is divided by f. 11 Let o be 13/(-3 - (-2 + -2)). Let z = o + -20. Let c(t) = -6*t + 7. What is the remainder when c(z) is divided by 13? 10 Suppose 4*b = 4*n + 44, 4*b - 5*n - 27 = b. Calculate the remainder when -2 - (0 + -2) - -19 is divided by b. 5 Let w = -1297 - -2240. What is the remainder when w is divided by 43? 40 Let y = -417 + 438. Calculate the remainder when 42 is divided by y. 0 Suppose -132 = -4*o - 4*y, -7*o + 2*o + 2*y = -165. Calculate the remainder when 560 is divided by o. 32 Suppose 0*m = m - 25. Let w(x) = 5*x**3 - 5*x**2 + 5*x - 10. What is the remainder when w(3) is divided by m? 20 Let w = 13 - 7. Suppose -2*q = -w, -s - 2*q = 3*q - 102. Suppose k + 18 = s. Calculate the remainder when k is divided by 18. 15 Suppose 36*q = 9*q + 594. What is the remainder when 503 is divided by q? 19 Let i(v) be the third derivative of 5/6*v**3 - 1/8*v**4 + 0 + 0*v + 6*v**2. What is the remainder when 33 is divided by i(-4)? 16 Suppose 5*i - z = -5*z + 71, -4*i - z + 48 = 0. Let n = -21 + 41. Calculate the remainder when n is divided by i. 9 Suppose 106 + 46 = 4*r - 4*o, 0 = -4*r - 5*o + 197. Calculate the remainder when r is divided by 7. 1 Suppose -9*o = -112 - 500. Calculate the remainder when 188 is divided by o. 52 Suppose -3*d = 3*q + 18, -3*q + 0 + 2 = -d. Suppose 5*l = -15, 0*c + 2*c + 5*l = -5. Calculate the remainder when 50 is divided by 63/c + (-2)/d. 11 Suppose -189*s - 42 = -190*s. Calculate the remainder when 144 is divided by s. 18 Suppose -11*b = -520 - 52. Calculate the
{ "pile_set_name": "DM Mathematics" }
? 520 What is 581 minutes before 10:40 AM? 12:59 AM How many minutes are there between 2:49 PM and 5:10 PM? 141 How many minutes are there between 1:08 AM and 10:15 AM? 547 What is 702 minutes before 1:33 AM? 1:51 PM How many minutes are there between 12:44 PM and 11:25 PM? 641 What is 530 minutes after 5:27 PM? 2:17 AM How many minutes are there between 8:34 AM and 2:11 PM? 337 What is 585 minutes after 11:52 PM? 9:37 AM What is 543 minutes before 5:00 AM? 7:57 PM How many minutes are there between 2:49 PM and 2:38 AM? 709 What is 9 minutes after 1:34 AM? 1:43 AM How many minutes are there between 1:41 PM and 12:36 AM? 655 How many minutes are there between 12:48 PM and 3:26 PM? 158 What is 82 minutes before 5:24 PM? 4:02 PM What is 253 minutes before 2:52 PM? 10:39 AM How many minutes are there between 1:34 PM and 10:51 PM? 557 What is 631 minutes before 7:33 PM? 9:02 AM How many minutes are there between 9:15 PM and 5:37 AM? 502 What is 10 minutes before 10:42 AM? 10:32 AM What is 430 minutes after 9:17 AM? 4:27 PM How many minutes are there between 4:24 AM and 5:02 AM? 38 What is 332 minutes before 4:14 AM? 10:42 PM How many minutes are there between 5:10 PM and 2:19 AM? 549 How many minutes are there between 8:02 PM and 10:23 PM? 141 What is 360 minutes before 9:18 AM? 3:18 AM What is 91 minutes after 10:45 PM? 12:16 AM What is 665 minutes before 6:29 AM? 7:24 PM How many minutes are there between 1:48 AM and 6:02 AM? 254 How many minutes are there between 9:38 PM and 2:04 AM? 266 What is 459 minutes before 3:05 PM? 7:26 AM What is 597 minutes after 7:33 PM? 5:30 AM How many minutes are there between 3:11 AM and 7:11 AM? 240 What is 399 minutes after 6:07 AM? 12:46 PM How many minutes are there between 11:47 AM and 11:41 PM? 714 What is 153 minutes before 8:59 AM? 6:26 AM How many minutes are there between 12:59 PM and 1:08 PM? 9 What is 328 minutes after 4:38 PM? 10:06 PM What is 699 minutes before 4:22 AM? 4:43 PM How many minutes are there between 3:53 AM and 2:00 PM? 607 How many minutes are there between 3:21 AM and 8:07 AM? 286 What is 505 minutes after 3:27 AM? 11:52 AM How many minutes are there between 1:08 AM and 4:22 AM? 194 What is 4 minutes after 2:44 PM? 2:48 PM What is 236 minutes after 4:01 PM? 7:57 PM What is 255 minutes before 11:16 AM? 7:01 AM How many minutes are there between 1:21 AM and 12:08 PM? 647 What is 589 minutes after 9:25 AM? 7:14 PM How many minutes are there between 7:48 PM and 12:50 AM? 302 How many minutes are there between 6:55 AM and 12:37 PM? 342 How many minutes are there between 3:59 AM and 12:11 PM? 492 What is 445 minutes after 10:52 PM? 6:17 AM What is 636 minutes before 9:28 PM? 10:52 AM What is 90 minutes before 5:05 AM? 3:35 AM What is 520 minutes before 11:42 AM? 3:02 AM How many minutes are there between 1:19 AM and 9:24 AM? 485 How many minutes are there between 5:40 PM and 8:54 PM? 194 How many minutes are there between 8:46 PM and 10:29 PM? 103 How many minutes are there between 9:27 AM and 11:27 AM? 120 What is 6 minutes before 7:07 PM? 7:01 PM How many minutes are there between 7:12 PM and 5:23 AM? 611 What is 496 minutes before 8:13 AM? 11:57 PM What is 50 minutes before 4:06 AM? 3:16 AM How many minutes are there between 7:45 PM and 9:46 PM? 121 How many minutes are there between 12:41 PM and 9:59 PM? 558 What is 149 minutes after 8:06 AM? 10:35 AM What is 148 minutes after 6:50 AM? 9:18 AM How many minutes are there between 11:29 PM and 12:32 AM? 63 How many minutes are there between 7:20 AM and 5:43 PM? 623 What is 170 minutes after 6:37 AM? 9:27 AM What is 277 minutes before 10:11 PM? 5:34 PM How many minutes are there between 11:11 AM and 12:43 PM? 92 How many minutes are there between 11:41 PM and 9:05 AM? 564 How many minutes are there between 8:43 AM and 8:47 AM? 4 How many minutes are there between 3:25 AM and 6:18 AM? 173 How many minutes are there between 9:23 AM and 3:34 PM? 371 How many minutes are there between 4:34 AM and 9:17 AM? 283 How many minutes are there between 8:42 PM and 11:01 PM? 139 How many minutes are there between 4:04 PM and 1:03 AM? 539 What is 703 minutes after 3:28 PM? 3:11 AM How many minutes are there between 4:45 AM and 11:39 AM? 414 What is 310 minutes before 12:18 PM? 7:08 AM How many minutes are there between 12:54 AM and 5:31 AM? 277 How many minutes are there between 6:54 PM and 3:34 AM? 520 How many minutes are there between 9:52 AM and 8:03 PM? 611 How many minutes are there between 6:00 AM and 10:52 AM? 292 What is 90 minutes after 9:08 PM? 10:38 PM How many minutes are there between 6:23 AM and 6:29 AM? 6 What is 253 minutes before 1:01 AM? 8:48 PM How many minutes are there between 9:25 PM and 1:55 AM? 270 How many minutes are there between 4:42 AM and 11:38 AM? 416 How many minutes are there between 12:58 PM and 2:01 PM? 63 What is 507 minutes after 5:01 AM? 1:28 PM What is 652 minutes after 6:49 AM? 5:41 PM How many minutes are there between 12:54 PM and 5:09 PM? 255 How many minutes are there between 12:30 AM and 2:17 AM? 107 What is 88 minutes before 7:28 AM? 6:00 AM What is 587 minutes before 5:30 PM? 7:43 AM What is 703 minutes before 9:08 PM? 9:25 AM How many minutes are there between 3:38 AM and 3:07 PM? 689 What is 445 minutes after 11:00 AM? 6:25 PM What is 454 minutes after 4:23 AM? 11:57 AM How many minutes are there between 11:58 AM and 9:11 PM? 553 What is 283 minutes before 9:57 AM? 5:14 AM How many minutes are there between 3:33 PM and 4:55 PM? 82 How many minutes are there between 12:21 AM and 10:55 AM? 634 How many minutes are there between 6:39 AM and 8:58 AM? 139 How many minutes are there between 7:50 AM and 7:39 PM? 709 How many minutes are there between 10:38 AM and 9:30 PM? 652 How many minutes are there between 10:16 PM and 12:32 AM? 136 How many minutes are there between 1:42 AM and 2:01 AM? 19 What is 616 minutes before 5:33 AM? 7:17 PM How many minutes are there between 4:50 PM and 12:09 AM? 439 What is 139 minutes before 10:14 AM? 7:55 AM What is 12 minutes before 12:42 AM? 12:30 AM What is 366 minutes before 3:49 AM? 9:43 PM What is 14 minutes before 10:56 PM? 10:42 PM What is 644 minutes after 9:34 PM? 8:18 AM What is 323 minutes before 3:28 AM? 10:05 PM How many minutes are there between 7:48 AM and 3:56 PM? 488 What is 48 minutes after 11:40 PM? 12:28 AM How many minutes are there between 6:36 AM and 2:58 PM? 502 How many minutes are there between 1:59 PM and 6:42 PM? 283 How many minutes are there between 2:21 PM and 2:05 AM? 704 How many minutes are there between 8:07 PM and 2:57 AM? 410 What is 90 minutes after 9:08 AM? 10:38 AM What is 595 minutes after 5:33 PM? 3:28 AM How many minutes are there between 5:34 AM and 10:08 AM? 274 What is 430 minutes after 2:30 PM? 9:40 PM What is 493 minutes before 11:32 AM? 3:19 AM How many minutes are there between 2:09 AM and 11:15 AM? 546 How many minutes are there between 7:50 PM and 7:12 AM? 682 What is 618 minutes before 2:47 AM? 4:29 PM What is 372 minutes before 1:48 PM? 7:36 AM What is 387 minutes after 3:03 AM? 9:30 AM What is 159 minutes after 1:32 AM? 4:11 AM How many minutes are there between 9:15 AM and 3:41 PM? 386 What is 682 minutes after 11:32 PM? 10:54 AM How many minutes are there between 12:20 AM and 2:36 AM? 136 How many minutes are there between 12:26 PM and 12:28 PM? 2 What is 172 minutes after 4:24 PM? 7:16 PM How many minutes are there between 1:21 AM and 2:50 AM? 89 How many minutes are there between 9:43 PM and 7:21 AM? 578 How many minutes are there between 1:45 AM and 11:57 AM? 612 How many minutes are there between 5:27 AM and 2:43 PM? 556 How many minutes are there between 8:00 AM and 2:31 PM? 391 How many minutes are there between 10:16 PM and 7:58 AM? 582 What is 289 minutes before 6:08 AM? 1:19 AM What is 236 minutes after 10:55 AM? 2:51 PM How many minutes are there between 5:39 PM and 12:42 AM? 423 What is 355 minutes before 11:26 PM? 5:31 PM How many minutes are there between 12:24 AM and 7:57 AM? 453 What is 556 minutes before 11:40 AM? 2:24 AM What is 617 minutes after 10:11 AM? 8:28 PM How many minutes are there between 9:17 AM and 1:41 PM? 264 How many minutes are there between 6:54 AM and 12:09 PM? 315 What is 191 minutes
{ "pile_set_name": "DM Mathematics" }
asing order. -2/31, 0.1, 4, 5 Sort 19, -2, 3, 1, -22 in descending order. 19, 3, 1, -2, -22 Sort -10, 2, -0.5, -83. -83, -10, -0.5, 2 Put 5, -14, -47, -3, 0 in increasing order. -47, -14, -3, 0, 5 Put -2, 0, 79, -4 in ascending order. -4, -2, 0, 79 Sort 10, -1, 5, 1, 32. -1, 1, 5, 10, 32 Sort 3/4, -0.1, 1024, 1 in decreasing order. 1024, 1, 3/4, -0.1 Sort 80, 4, 5. 4, 5, 80 Sort 3, -1, -0.1, 1/8, -2. -2, -1, -0.1, 1/8, 3 Put 3, 80, -2, 5 in increasing order. -2, 3, 5, 80 Sort -2, 100, -4, 10 in increasing order. -4, -2, 10, 100 Put 1, -0.5, 1/5, 0.4 in descending order. 1, 0.4, 1/5, -0.5 Put -1, -2/5, 4, -6 in descending order. 4, -2/5, -1, -6 Put -2, 1/4, 3, 2, -0.02 in ascending order. -2, -0.02, 1/4, 2, 3 Sort -7, 352, -3 in descending order. 352, -3, -7 Sort 360, 5, 1 in descending order. 360, 5, 1 Put 4, 0, 7, 1 in descending order. 7, 4, 1, 0 Put -2, -3/4, -48.2 in ascending order. -48.2, -2, -3/4 Sort -1, 5, -0.4, 1/100 in descending order. 5, 1/100, -0.4, -1 Sort 3, 2, -262 in descending order. 3, 2, -262 Put 5/2, -3, -1 in descending order. 5/2, -1, -3 Sort 4, -7, 0, -4 in descending order. 4, 0, -4, -7 Sort 10, -2, 2, 4 in descending order. 10, 4, 2, -2 Put 1, 891, -4 in decreasing order. 891, 1, -4 Sort 2, -0.239, 0.7 in decreasing order. 2, 0.7, -0.239 Sort -169, -5, -1/4 in descending order. -1/4, -5, -169 Sort -2, 0.4, 0.28 in decreasing order. 0.4, 0.28, -2 Sort 2, -2, 56, -4 in decreasing order. 56, 2, -2, -4 Sort -9, 12, 9, -5, -3 in descending order. 12, 9, -3, -5, -9 Put -18, 0.2, 0.1 in ascending order. -18, 0.1, 0.2 Put 1, -2, 6, 5 in decreasing order. 6, 5, 1, -2 Sort 0.314, -0.3, 0.1. -0.3, 0.1, 0.314 Sort 5, 37, -5 in descending order. 37, 5, -5 Sort -1/3, 0.3, 3, 372, -1. -1, -1/3, 0.3, 3, 372 Sort -2, -4, -3, 5, 3 in ascending order. -4, -3, -2, 3, 5 Put 1, -5, 89 in increasing order. -5, 1, 89 Sort 3, -1, -1/5, 8. -1, -1/5, 3, 8 Sort 6, -9, 2/15, 2/13 in decreasing order. 6, 2/13, 2/15, -9 Sort 1, -8, 9, -1 in decreasing order. 9, 1, -1, -8 Sort 5, -1/7, 0, 0.5 in descending order. 5, 0.5, 0, -1/7 Put -2, 6, -1 in decreasing order. 6, -1, -2 Put -2, 6, 1 in decreasing order. 6, 1, -2 Sort 3, 4, -5, 5 in decreasing order. 5, 4, 3, -5 Put 1, 5, -0.5, -0.129 in descending order. 5, 1, -0.129, -0.5 Sort -0.2, 2/97, -5, -0.5 in ascending order. -5, -0.5, -0.2, 2/97 Put -2, -107, -13 in decreasing order. -2, -13, -107 Sort 1637, 1, -1/2 in decreasing order. 1637, 1, -1/2 Put 0.071, 0.2, 0 in decreasing order. 0.2, 0.071, 0 Sort 1, 2/7, 1/4, 3 in increasing order. 1/4, 2/7, 1, 3 Put 1, 2/3, -1, 1.7 in ascending order. -1, 2/3, 1, 1.7 Sort -9, 3, 1. -9, 1, 3 Sort -47, 4, 0.01, -4 in ascending order. -47, -4, 0.01, 4 Sort 4, -6, -0.9, 3/2 in decreasing order. 4, 3/2, -0.9, -6 Put 2, -0.11, -2, -1/5 in increasing order. -2, -1/5, -0.11, 2 Put -71, -0.2, -13 in ascending order. -71, -13, -0.2 Sort 8, 16, -3, 4, -5 in descending order. 16, 8, 4, -3, -5 Sort -112, -2/3, 2/7 in decreasing order. 2/7, -2/3, -112 Put -1/4, 11, -5, 2/9, 8 in ascending order. -5, -1/4, 2/9, 8, 11 Sort -6, -2, -14 in increasing order. -14, -6, -2 Sort 0.2, -7, 3/5, 53. -7, 0.2, 3/5, 53 Sort 1, -624, -1 in descending order. 1, -1, -624 Put -2, -3, -1 in descending order. -1, -2, -3 Sort 0, -99, 2 in descending order. 2, 0, -99 Sort -1, -7, 4, 8, -3 in descending order. 8, 4, -1, -3, -7 Sort -0.1, -5, 28 in decreasing order. 28, -0.1, -5 Put -3, -2, 4, 32 in decreasing order. 32, 4, -2, -3 Sort -4, -3, 6 in decreasing order. 6, -3, -4 Put -4, 2, 4, 5 in decreasing order. 5, 4, 2, -4 Put 792, -5, -2, 0, 5 in decreasing order. 792, 5, 0, -2, -5 Sort -118, -1, 24 in decreasing order. 24, -1, -118 Put 3, -5, 5/4, -1 in decreasing order. 3, 5/4, -1, -5 Sort -20, 55, 0, -2 in decreasing order. 55, 0, -2, -20 Put 0.3, -2/7, -0.9, 21 in descending order. 21, 0.3, -2/7, -0.9 Sort 5, -3, -16, -2 in ascending order. -16, -3, -2, 5 Put -8, -2, 3, -5, 29 in decreasing order. 29, 3, -2, -5, -8 Sort 0, -204, -3, 5 in ascending order. -204, -3, 0, 5 Put 0, -315, 4, -5 in descending order. 4, 0, -5, -315 Put 1, -137, -3 in ascending order. -137, -3, 1 Sort -6, -3, 2, 3, -1 in increasing order. -6, -3, -1, 2, 3 Sort 0.4, 4, -31, 2/7 in ascending order. -31, 2/7, 0.4, 4 Put -1, 1506, 0 in descending order. 1506, 0, -1 Sort 9, -5, -1 in descending order. 9, -1, -5 Put -4, -1, -24, -5 in descending order. -1, -4, -5, -24 Put -5, -4, 1014 in decreasing order. 1014, -4, -5 Put -0.5, 0.4, -642/11 in decreasing order. 0.4, -0.5, -642/11 Sort -12370, 0, 2. -12370, 0, 2 Put -56, -5, -3, 5 in descending order. 5, -3, -5, -56 Sort -0.2, -1/4, -308 in increasing order. -308, -1/4, -0.2 Put -5, -486, -3 in descending order. -3, -5, -486 Sort -31, 4, 5 in decreasing order. 5, 4, -31 Sort 2, -5, -8 in descending order. 2, -5, -8 Sort -3, 0.07, -4/3, -1/11, 20 in descending order. 20, 0.07, -1/11, -4/3, -3 Sort 2/19, 403, -4 in ascending order. -4, 2/19, 403 Sort 2, 3, 0 in increasing order. 0, 2, 3 Sort -19, 19, 2, -4 in ascending order. -19, -4, 2, 19 Sort 3, 4, -10, 1 in ascending order. -10, 1, 3, 4 Sort -376, -5, -3 in ascending order. -376, -5, -3 Sort -0.4, -3.8, -0.3 in increasing order. -3.8, -0.4, -0.3 Sort -4, -667, 1/3 in descending order. 1/3, -4, -667 Sort -13, 6, -2. -13, -2, 6 Sort -31, -5, -4, 5, 24 in increasing order. -31, -5, -4, 5, 24 Sort 1/98, 3, 0.4, 0, -5/2 in increasing order. -5/2, 0, 1/98, 0.4, 3 Put 12, 6, 0.4 in decreasing order. 12, 6, 0.4 Sort 2/61, 5, -5/6, 2, 0.1 in decreasing order. 5, 2, 0.1, 2/61, -5/6 Sort -1, 44, -2, -3 in decreasing order. 44, -1, -2, -3 Sort -9, -0.4, 0.3, 3 in decreasing order. 3, 0.3, -0.4, -9 Put 1/5, 34/41, 1, 0.5 in increasing order. 1/5, 0.5, 34/41, 1 Put 4, -4, 22 in decreasing order. 22, 4, -4 Sort 1, 24.1, -3 in increasing order. -3, 1, 24.1 Put -1, -182, 3, 4 in ascending order. -182, -1, 3, 4 Put -3, -13/5, 4, 0.4 in increasing order. -3, -13/5, 0.4, 4 Put -10, 2, -0.4, -8 in descending order. 2, -0.4, -8, -10 Sort -4, -4/7, 57 in increasing order. -4, -4/7, 57 Sort -1, 183, 27. -1, 27, 183 Sort 3/4, -8, -5, -2 in decreasing order. 3/4, -2, -5, -8 Sort -92, 0.2, -9/4 in increasing order. -92, -9/4, 0.2 Sort -5, 1, 31, 2 in descending order. 31, 2, 1, -5 Sort 1/5, 2, 4, 593 in increasing order. 1/5, 2, 4, 593 Sort 14, 5, 0, 1 in decreasing order. 14, 5, 1, 0 Sort -11.6, -1, -4, 1 in descending order. 1, -1, -4, -11.6 Put -3, 2, -2, -164 in ascending order. -164, -3, -2, 2 Sort -1, 250, 1, 5 in decreasing order. 250, 5, 1, -1 Put -3, -2, 612 in decreasing order. 612, -2, -3 Put -5, -3, -36, 0 in ascending order. -36, -5, -3, 0 Put 26, 5, -5 in ascending order. -5, 5, 26 Sort 2, 1, 1/16, -0.1. -0.1, 1/16, 1, 2 Put 192, 3, 2 in decreasing order. 192, 3, 2 Put 4/3, 1/5, 10, -0.1 in descending order. 10, 4/3, 1/5, -0.1 Put -34, 2, 2/15, -2, -3 in decreasing order. 2, 2/15, -2, -3, -34 Put 2/7, -4, 3/2 in increasing order. -4, 2/7, 3/2 Put 0.07, -2/3, 4/35 in decreasing order. 4/35, 0.07, -2/3 Put 43, -1, 0 in descending order. 43, 0, -1 Put 18, -2, 0, -3 in ascending order. -3, -2, 0, 18 Sort 8, 4, -10, -3, 0 in descending order. 8, 4, 0, -3, -10 Put 7, -114, 2, 5 in ascending order. -114, 2, 5, 7 Sort -2, -4, -77, -3 in descending order. -2, -3, -4, -77 Sort -2/7, 0.2, 22 in descending order. 22, 0.2, -2/7 Put -5, -0.03, 42 in decreasing order. 42, -0.03, -5 Put 1/4, 1, -44, -5 in ascending order. -44, -5, 1/4, 1 Sort 2/9, -0.11, 0 in decreasing order. 2/9, 0, -0.11 Put -2, -7, -1, 0, 20 in descending order. 20, 0, -1, -2, -7 Sort -4, 12, 7. -4, 7, 12 Put -5, 10, 93 in ascending order. -5, 10, 93 Sort 0, -1, 2/19, -0.2. -1, -0.2, 0, 2/19 Sort 2/3, -11, -3. -11, -3, 2/3 Sort -2, -1/4, -0.6 in descending order. -1/4, -0.6, -2 Sort -2, 1, 5, -41 in decreasing order. 5, 1, -2, -41 Sort -1, -4, 11, -2 in decreasing order. 11, -1, -2, -4 Sort 6, 3, 13 in decreasing order. 13, 6, 3 Sort 1, 11, -15, -1 in descending order. 11, 1, -1, -15 Put -4, 0.2, 153/10 in increasing order. -4, 0.2, 153/10 Sort 0, -3, -5, 23 in decreasing order. 23, 0, -3, -5 Sort -1/8, 4, -0.3, 11/5 in descending order. 4, 11/5, -1/8, -0.3 Put 0.1, -332, 2, 4, -4 in descending order. 4, 2, 0.1, -4, -332 Put 3, -3, 1 in ascending order. -3, 1, 3 Put -5, -3,
{ "pile_set_name": "DM Mathematics" }
eplacement from vaaalanlnaay? 0 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {r: 3, t: 2, v: 4, a: 6}. 4/35 Calculate prob of picking 2 q when two letters picked without replacement from {v: 1, q: 2}. 1/3 What is prob of picking 2 m and 1 u when three letters picked without replacement from {f: 5, j: 8, m: 2, u: 1, d: 2}? 1/816 What is prob of picking 1 a, 2 s, and 1 d when four letters picked without replacement from ddawvsdddvvvvvswvd? 1/510 Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {b: 3, n: 1, j: 1}. 3/10 What is prob of picking 1 u and 2 g when three letters picked without replacement from gguugg? 3/5 Four letters picked without replacement from {d: 7, o: 2, r: 11}. Give prob of picking 2 r, 1 d, and 1 o. 154/969 What is prob of picking 1 m and 1 j when two letters picked without replacement from qmjmiiqmvmzqqqmmqi? 2/51 Four letters picked without replacement from ddbdddb. What is prob of picking 1 b and 3 d? 4/7 Two letters picked without replacement from gbbbbjjbggjgjb. What is prob of picking 1 j and 1 b? 24/91 Two letters picked without replacement from dbfrh. What is prob of picking 1 h and 1 b? 1/10 What is prob of picking 1 s, 1 i, 1 u, and 1 l when four letters picked without replacement from iiibbilulbiulbusbi? 3/170 Calculate prob of picking 3 o when three letters picked without replacement from {i: 1, u: 1, e: 3, o: 5, a: 1}. 2/33 Calculate prob of picking 3 q when three letters picked without replacement from prqqrppxqrxpxqppprp. 4/969 What is prob of picking 2 a and 2 l when four letters picked without replacement from {f: 2, a: 3, l: 5}? 1/7 Calculate prob of picking 1 x and 1 h when two letters picked without replacement from mmmmtxmmmxxxhtm. 4/105 What is prob of picking 3 t and 1 x when four letters picked without replacement from ttxttkjk? 2/35 Two letters picked without replacement from {t: 1, r: 4, y: 1, k: 2}. Give prob of picking 2 t. 0 Two letters picked without replacement from {p: 1, k: 4, u: 1, b: 4}. Give prob of picking 1 k and 1 p. 4/45 Three letters picked without replacement from {c: 1, t: 4, q: 1, y: 1, k: 4, d: 1}. What is prob of picking 2 k and 1 q? 3/110 What is prob of picking 1 q, 1 p, 1 k, and 1 d when four letters picked without replacement from {h: 3, q: 1, k: 2, p: 3, d: 1}? 1/35 Three letters picked without replacement from {s: 2, o: 1, a: 2, b: 1}. What is prob of picking 1 b, 1 a, and 1 s? 1/5 What is prob of picking 1 h, 1 x, and 1 d when three letters picked without replacement from {q: 1, h: 9, x: 1, d: 3}? 27/364 Four letters picked without replacement from kpprtpgpepretrrgpptt. What is prob of picking 1 k, 1 e, 1 p, and 1 t? 56/4845 Calculate prob of picking 3 z and 1 h when four letters picked without replacement from hzzzhhzzhh. 5/21 Two letters picked without replacement from {t: 2, z: 3, e: 9, d: 4}. What is prob of picking 1 t and 1 z? 2/51 What is prob of picking 2 z when two letters picked without replacement from {l: 3, k: 2, z: 3}? 3/28 What is prob of picking 1 w and 1 u when two letters picked without replacement from wehnwun? 2/21 Two letters picked without replacement from ctlftfcccq. Give prob of picking 1 c and 1 f. 8/45 What is prob of picking 2 l when two letters picked without replacement from lll? 1 Calculate prob of picking 3 w when three letters picked without replacement from wwwww. 1 Calculate prob of picking 1 t and 3 f when four letters picked without replacement from {f: 9, t: 5}. 60/143 Four letters picked without replacement from {g: 1, v: 1, i: 4, h: 1, t: 1}. Give prob of picking 1 t, 1 i, 1 v, and 1 g. 2/35 Two letters picked without replacement from {j: 1, e: 10, q: 8}. Give prob of picking 2 q. 28/171 Two letters picked without replacement from mttmmfdmotnt. Give prob of picking 1 o and 1 m. 2/33 Two letters picked without replacement from {m: 1, c: 4, b: 9}. What is prob of picking 2 b? 36/91 Two letters picked without replacement from {p: 8, j: 5, s: 4}. Give prob of picking 2 j. 5/68 Calculate prob of picking 1 h, 2 v, and 1 u when four letters picked without replacement from jguugvuujvgdjjguugjh. 2/1615 Two letters picked without replacement from {l: 1, m: 1, q: 2, j: 1, s: 2, d: 1}. What is prob of picking 1 s and 1 j? 1/14 Calculate prob of picking 2 i and 1 z when three letters picked without replacement from {z: 1, m: 3, r: 1, i: 3, y: 2, p: 3}. 3/286 Two letters picked without replacement from {b: 3, s: 11, a: 4, v: 1}. Give prob of picking 1 s and 1 a. 44/171 What is prob of picking 2 d and 1 t when three letters picked without replacement from ttttttdttttd? 1/22 Four letters picked without replacement from wwvbryrbbwrbvbz. Give prob of picking 1 w, 2 v, and 1 r. 3/455 Two letters picked without replacement from {x: 1, j: 1, t: 2, k: 2, e: 1}. What is prob of picking 1 k and 1 e? 2/21 Calculate prob of picking 1 h and 1 e when two letters picked without replacement from edhhedehedhdhe. 25/91 Two letters picked without replacement from qhnrhhrh. Give prob of picking 2 r. 1/28 Two letters picked without replacement from {i: 4, t: 3, h: 4, x: 2, b: 1, d: 1}. Give prob of picking 1 i and 1 t. 4/35 Four letters picked without replacement from oxotkhj. Give prob of picking 1 t, 1 k, and 2 o. 1/35 Three letters picked without replacement from ffifxuuufuxuux. Give prob of picking 3 x. 1/364 Three letters picked without replacement from {t: 5, b: 2, w: 9}. What is prob of picking 3 t? 1/56 Calculate prob of picking 2 n, 1 l, and 1 h when four letters picked without replacement from llhhhhllnlhluhlhhnhh. 14/969 What is prob of picking 1 k, 1 w, 1 l, and 1 q when four letters picked without replacement from qllwlzlllzzzkkzll? 4/595 Three letters picked without replacement from {h: 1, l: 1, b: 5, x: 3, c: 4}. Give prob of picking 1 c, 1 x, and 1 b. 15/91 Three letters picked without replacement from {p: 7, q: 4, x: 2}. What is prob of picking 1 x and 2 q? 6/143 Two letters picked without replacement from ytytty. Give prob of picking 2 t. 1/5 Two letters picked without replacement from {m: 2, k: 1, r: 1, e: 2, y: 1}. Give prob of picking 1 k and 1 r. 1/21 Three letters picked without replacement from {r: 3, z: 2}. What is prob of picking 2 r and 1 z? 3/5 Four letters picked without replacement from eoggoaaonganaonaaeao. What is prob of picking 1 e, 2 n, and 1 a? 14/1615 Calculate prob of picking 3 s when three letters picked without replacement from {s: 11, u: 9}. 11/76 Two letters picked without replacement from {v: 1, w: 2, l: 4, r: 2}. What is prob of picking 1 l and 1 v? 1/9 Three letters picked without replacement from {z: 2, s: 1, b: 2, l: 1, w: 1, j: 2}. Give prob of picking 2 l and 1 z. 0 What is prob of picking 2 g when two letters picked without replacement from {g: 10, k: 4}? 45/91 What is prob of picking 1 u and 1 p when two letters picked without replacement from uuupupuuupppuuuuuuu? 70/171 Four letters picked without replacement from nnbnnbnnnbnn. Give prob of picking 4 n. 14/55 Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {u: 2, p: 5, f: 5, z: 1, m: 6}. 10/323 Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hqqyzqyqyqyqwhqzw. 1/170 Three letters picked without replacement from wwvtwvwwbwvwwwvww. Give prob of picking 1 b, 1 w, and 1 t. 11/680 What is prob of picking 1 a, 1 m, and 1 e when three letters picked without replacement from aaeeymmmyamm? 3/22 What is prob of picking 1 d, 1 a, and 1 v when three letters picked without replacement from {v: 3, a: 7, d: 2}? 21/110 Calculate prob of picking 4 t when four letters picked without replacement from txqttqxtqttxqxttq. 1/34 Three letters picked without replacement from qqumuqqm. Give prob of picking 2 m and 1 q. 1/14 Two letters picked without replacement from hbhsbmgy. What is prob of picking 1 m and 1 b? 1/14 Four letters picked without replacement from {o: 6, k: 1, n: 11}. Give prob of picking 2 o and 2 n. 55/204 Three letters picked without replacement from {y: 3, c: 6, g: 4, w: 1}. What is prob of picking 2 y and 1 w? 3/364 Three letters picked without replacement from {j: 2, l: 5, t: 4}. What is prob of picking 1 l
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from ddgptauauaut? 1/44 Calculate prob of sequence ozz when three letters picked without replacement from {z: 3, o: 1}. 1/4 Two letters picked without replacement from {v: 2, k: 1, p: 2, z: 4, l: 1}. Give prob of sequence vk. 1/45 Four letters picked without replacement from {g: 2, y: 6, c: 1, o: 2}. Give prob of sequence gyyg. 1/132 Three letters picked without replacement from myymoohmohmmo. Give prob of sequence hom. 10/429 Three letters picked without replacement from nnknnnnnkknnnn. Give prob of sequence knn. 55/364 Two letters picked without replacement from kxkkxxkkxxkk. What is prob of sequence xx? 5/33 Two letters picked without replacement from gmygyggkgygykykymgy. What is prob of sequence km? 1/57 Three letters picked without replacement from ehhvaaps. What is prob of sequence has? 1/84 What is prob of sequence gvyg when four letters picked without replacement from {v: 1, g: 2, y: 4, q: 1}? 1/210 What is prob of sequence tz when two letters picked without replacement from {t: 2, z: 1}? 1/3 Calculate prob of sequence rrrr when four letters picked without replacement from {r: 5}. 1 What is prob of sequence kkk when three letters picked without replacement from {u: 8, k: 3}? 1/165 Calculate prob of sequence aw when two letters picked without replacement from awfaalava. 5/72 Four letters picked without replacement from affanfafaaaffaaaafa. What is prob of sequence aafa? 385/5168 Three letters picked without replacement from {e: 3, g: 15}. Give prob of sequence ggg. 455/816 What is prob of sequence ri when two letters picked without replacement from riiiiirriirrr? 7/26 Calculate prob of sequence zgyg when four letters picked without replacement from gzggyygggggggg. 5/546 Calculate prob of sequence nkd when three letters picked without replacement from {d: 5, h: 1, b: 2, n: 1, k: 1}. 1/144 Four letters picked without replacement from rtqqrmmmrrrquqrrrr. Give prob of sequence rtrm. 1/340 What is prob of sequence eb when two letters picked without replacement from {r: 3, b: 3, e: 12}? 2/17 Calculate prob of sequence yel when three letters picked without replacement from letltyyllflylllflf. 3/544 What is prob of sequence fx when two letters picked without replacement from {x: 6, h: 1, r: 3, f: 3}? 3/26 Two letters picked without replacement from djjzuhydh. What is prob of sequence ju? 1/36 Three letters picked without replacement from iiiigiiiiiiiiiiiiiii. Give prob of sequence igi. 1/20 Two letters picked without replacement from {o: 3, t: 4, u: 5, l: 1}. Give prob of sequence tt. 1/13 Four letters picked without replacement from {e: 2, c: 4, j: 4}. Give prob of sequence ejjj. 1/105 Three letters picked without replacement from {e: 1, v: 2, o: 1, f: 2, r: 1}. What is prob of sequence vrf? 2/105 Three letters picked without replacement from {d: 1, c: 1, b: 1, e: 5, y: 1}. What is prob of sequence cyb? 1/504 Calculate prob of sequence yeey when four letters picked without replacement from {e: 2, u: 4, y: 4}. 1/210 Two letters picked without replacement from ttnnzlnnzntluzcll. What is prob of sequence tl? 3/68 What is prob of sequence cd when two letters picked without replacement from {d: 1, c: 1, g: 1, b: 2}? 1/20 What is prob of sequence ealk when four letters picked without replacement from lelkkaekkeelleaeea? 7/1530 Two letters picked without replacement from {x: 4, g: 7, l: 1, r: 1, s: 2, f: 3}. What is prob of sequence xg? 14/153 What is prob of sequence zjm when three letters picked without replacement from ivzjvmv? 1/210 What is prob of sequence msss when four letters picked without replacement from {s: 6, m: 12}? 1/51 Calculate prob of sequence gq when two letters picked without replacement from {g: 5, q: 13}. 65/306 Calculate prob of sequence llhl when four letters picked without replacement from {d: 1, l: 4, h: 2, u: 1}. 1/35 Four letters picked without replacement from xxxxxeexeexxexxxexx. What is prob of sequence eeee? 5/1292 Two letters picked without replacement from ubuuuukubuuuubkb. Give prob of sequence kk. 1/120 Calculate prob of sequence bjm when three letters picked without replacement from sjbmggsmmmjmrss. 1/273 Three letters picked without replacement from ussu. What is prob of sequence uus? 1/6 Calculate prob of sequence uu when two letters picked without replacement from uuuuuuuuuuuur. 11/13 Four letters picked without replacement from {n: 2, f: 8, l: 2}. What is prob of sequence nfln? 4/1485 Two letters picked without replacement from {g: 1, m: 1, w: 5, k: 1, x: 1}. What is prob of sequence gx? 1/72 Three letters picked without replacement from {i: 3, a: 4}. What is prob of sequence aaa? 4/35 Four letters picked without replacement from gpqpyyqyzvp. Give prob of sequence zqyg. 1/1320 Calculate prob of sequence rb when two letters picked without replacement from {d: 5, z: 4, b: 2, r: 8}. 8/171 Two letters picked without replacement from {y: 3, p: 3, w: 1, k: 1, x: 1, e: 6}. What is prob of sequence yx? 1/70 Three letters picked without replacement from {d: 3, f: 3}. What is prob of sequence ddd? 1/20 Calculate prob of sequence ktt when three letters picked without replacement from tktvxxqqtqe. 1/165 Three letters picked without replacement from {z: 2, n: 4, l: 1, e: 1}. What is prob of sequence eln? 1/84 Calculate prob of sequence db when two letters picked without replacement from {d: 7, t: 4, b: 7}. 49/306 Three letters picked without replacement from {y: 3, x: 1, m: 5, q: 3}. What is prob of sequence myy? 1/44 Two letters picked without replacement from njpnssdt. What is prob of sequence jd? 1/56 What is prob of sequence duu when three letters picked without replacement from {u: 2, d: 1}? 1/3 Four letters picked without replacement from {u: 1, k: 1, y: 2}. What is prob of sequence ykuy? 1/12 Four letters picked without replacement from {b: 1, k: 7, s: 5}. What is prob of sequence bkkb? 0 Calculate prob of sequence aa when two letters picked without replacement from aaaa. 1 Three letters picked without replacement from wcwwwwwcccczwcccwwc. What is prob of sequence ccz? 4/323 Calculate prob of sequence xm when two letters picked without replacement from {x: 3, j: 1, m: 1, c: 5, s: 4}. 3/182 What is prob of sequence eoee when four letters picked without replacement from onooeennooe? 1/264 Calculate prob of sequence tt when two letters picked without replacement from ututuuuuuuuttuuutut. 5/57 Three letters picked without replacement from yynzyunyz. What is prob of sequence nnu? 1/252 Calculate prob of sequence od when two letters picked without replacement from {r: 6, d: 7, o: 6}. 7/57 Calculate prob of sequence vvv when three letters picked without replacement from {v: 8, o: 2}. 7/15 Calculate prob of sequence mmm when three letters picked without replacement from hhyvyhmhynhhy. 0 Calculate prob of sequence hhm when three letters picked without replacement from hamhmmmmamahhmam. 1/35 What is prob of sequence eqkk when four letters picked without replacement from bbbbbbekbbkeqbbkkeqk? 1/969 Two letters picked without replacement from sqsqqsqqqsqqsqss. Give prob of sequence ss. 7/40 Two letters picked without replacement from {n: 8, q: 4, a: 5}. What is prob of sequence nn? 7/34 Four letters picked without replacement from aadvvvvavvavv. What is prob of sequence aadv? 4/715 Two letters picked without replacement from xxiiwxxwxii. Give prob of sequence iw. 4/55 Two letters picked without replacement from {e: 2, j: 1}. Give prob of sequence je. 1/3 Calculate prob of sequence uc when two letters picked without replacement from octttuc. 1/21 Two letters picked without replacement from fxdxffxxfxfff. Give prob of sequence fd. 7/156 Calculate prob of sequence tt when two letters picked without replacement from itttttitttttittktktt. 21/38 Three letters picked without replacement from {g: 18, n: 1}. Give prob of sequence ngg. 1/19 Calculate prob of sequence zzi when three letters picked without replacement from {a: 1, i: 1, l: 2, h: 1, t: 1, z: 2}. 1/168 Four letters picked without replacement from {s: 2, f: 6}. Give prob of sequence ffsf. 1/7 Calculate prob of sequence hvh when three letters picked without replacement from {h: 2, v: 4, i: 10}. 1/420 Three letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
155, 2*f = -4*u + 18. Solve -29 = -5*o + 4*t - 2*t, 4*t - c = -u*o for o. 5 Let i(u) = u**3 - 3*u**2 + 6*u - 31. Let n be i(4). Let w be (-9)/(-12)*-6*(-6)/n. Solve -3*f = -5*h - 30, 0*f + w*f - 2*h = 21 for f. 5 Suppose 0 = -2*t - 3*d + 2, -t + d = 4 - 10. Solve 3*r - t*j = -2 - 3, 5*r = 5*j - 10 for r. -3 Let a(k) be the first derivative of 13*k**3/3 - 39*k**2 + 3*k + 224. Let v be a(6). Solve 0 = -3*y - 0*y - 9, 6 = -v*o + 2*y for o. -4 Suppose 11*g - 15*g - 76 = d, -4*d = -2*g - 20. Let z be (-46)/(-207) + 4/g. Solve -14 = -4*a + 2*k, z*a + 5*k - 25 = -5*a for a. 4 Suppose -5*d + 5*c = 10, d = 2*c + 6 - 11. Suppose m - 3*u = 8 - d, 3*m - 21 = -4*u. Solve 0 = -2*l + t + 2, -3*l = 2*l - 2*t - m for l. 3 Suppose 5*b + 159*d - 158*d = -3, -d - 3 = -4*b. Solve 20 = a - 3*a - 4*l, -2*a + 5*l + 7 = b for a. -4 Let v(z) = -3*z - 5. Let n be v(-5). Let w be (-172)/(-60) - n/(-75). Solve -f + w*j + 12 = 0, -3*j - 8 = -4*f - j for f. 0 Let t be 24/(-4) + 18/(9 - 7). Solve -19 = 2*y + t*r, 6*y = 3*y - 2*r - 21 for y. -5 Let g(o) = o**3 + 152*o**2 + 300*o + 5. Let u be g(-150). Solve -4*n = 2*v, -2*v - u*n = -94 + 93 for v. -2 Suppose -2*t = 5*p - 13, -2*p = 4*t - 24 + 6. Solve -3*y + 12 = 5*u, 0 = 91*u - 93*u + t*y + 10 for u. 3 Suppose -99*s + 76*s + 92 = 0. Solve 3*u + 16 = -k, s*u + 11*k + 28 = 8*k for u. -4 Let o(a) = 7*a - 40. Let g be o(6). Let n(f) = -3*f - 8. Let w be n(-6). Let m = 19 - w. Solve 5*r + 2*d - m = 0, r + 5*d - g = -14 for r. 3 Let u(v) = v**2 - 12*v - 16. Let f be u(16). Let b = -45 + f. Suppose -27 = -3*z - b*o, 7*o = 4*z + 2*o. Solve 0 = -2*q + z*g + 20, 4*q - 4*g - 20 = g for q. 0 Suppose -6*r + 2*r + v = 155, 0 = 3*r + v + 125. Let a be ((-224)/r)/(2/15). Let k = a - 42. Solve 0 = -2*o - 4, -3*f = 5*o - k - 2 for f. 4 Suppose 39*c - 1309 = -56*c + 21. Solve 5*b - 3*j - 2 + c = 0, 3*b + 4*j + 13 = 0 for b. -3 Let k be 0 - (0 + 1 - 6). Suppose -13 = -3*t - 4*x, 12 - 29 = -4*t - k*x. Solve 0 = j + 3*w + 14, -2*w - 3 - t = 0 for j. -5 Let o(a) = a**3 + 3*a**2 - a + 1. Let j be o(-3). Suppose 16 = j*q - 0*q. Let u = 57 + -57. Solve -4*t + 0*p = 3*p + 11, u = -q*t + 5*p - 3 for t. -2 Suppose 31*r = 22*r + 154 + 26. Solve -5*o - 3*p = -r, -3*p + 14 = 341*o - 342*o for o. 1 Let q(i) = -2*i + 12. Let l be q(4). Let y(c) = -2*c**3 + 3*c**2 + 7*c - 18. Let w be y(l). Let x = -51 - w. Solve 5*z - x = u, z = -2*z - 4*u - 7 for z. 3 Let v(r) = -r**3 + 13*r**2 - 32*r + 11. Let o be v(3). Let z = -2 - -4. Solve 0 = 4*h - z*h + o*i - 14, -6 = h - 4*i for h. 2 Let o be (50/(-100))/(-1*5/20). Solve 23 = 5*d - 3*g - o, -4*d + g + 20 = 0 for d. 5 Let q be ((-1106)/(-237))/((-2)/(-12)*2). Suppose 0 = -q*d - 1 + 43. Solve c + 1 + 3 = 4*x, 0 = -d*x - 4*c - 16 for x. 0 Let q = 6154 + -6122. Solve -2*l + o = -14, 20*o - 17*o + q = 4*l for l. 5 Let o(a) = 14*a + 112. Let x be o(-6). Suppose 12 = -8*s + x. Solve 2*i + 2*w + 14 = 0, 2*w + 6 = -s for i. -3 Let g(l) = -3*l**2 - 98*l - 314. Let k be g(-29). Solve k*b = 3*j - 4 - 6, -4*b + 19 = 3*j for j. 5 Let f = -9 - -9. Let x(n) = -n**2 - 6*n + 5. Let o = 270 - 276. Let h be x(o). Solve -15 = -0*i - i + h*y, 5*y + 10 = f for i. 5 Let a = -118 - -495. Suppose 23*r + a = 10*r. Let o = r - -33. Solve 0 = 5*y - 4*i - 16, 5*i + 18 = o*y - 2 for y. 0 Let u(l) = -l + 4. Let a be u(2). Let n(b) = b + 9. Let s be n(10). Let m = -17 + s. Solve -m*t + a*c - 4 = 0, -2*t + 2*c = 4*c - 8 for t. 1 Let p(f) = -f**2 - 530*f - 4174. Let i be p(-8). Solve -i*h + 0*r + 4*r = 8, 5*h - 8 = 3*r for h. 4 Let n(o) = -55*o - 3219. Let v be n(-61). Solve m + v*w - 135*w + 8 = 0, -3*m = -5*w - 16 for m. -3 Suppose 9 = -3*b, 4*s - 27 = -12*b + 17*b. Solve -2*h + h = 5*n - 2, -6 = 4*n - s*h for n. 0 Suppose -5*b - z = -83, -2*b - 76 = -6*b - 4*z. Suppose 0 = -5*s - 5*x + 10, 0 = -b*x + 19*x. Solve -s = -5*g + u, -2*g - g = -3*u - 6 for g. 0 Let v = 24 - 13. Let u be 6*(-2)/(-4) - v. Let s be (u + 4)*10/(-8). Solve s*t + 9 = 3*d - 4*d, t = 5*d - 7 for d. 1 Let l(a) = -a**3 + a**2 - 36*a + 4. Let y be l(0). Suppose 10*q + 25 - 75 = 0. Solve -u = -0*u + q*b - 15, 0 = y*b - 16 for u. -5 Let a = -6650 - -6658. Solve -k + 2*k - 3*s = 14, -4*s - a = 4*k for k. 2 Let o(q) = -9*q - 8. Let j be o(-10). Suppose j = -6*x - 44. Let l = x - -24. Solve -12 = l*w + 3*s, s = 2*w - 3*s - 16 for w. 0 Let a be 4/14 + -94*1/(-14). Let j be a*5/105*(-6)/(-1). Suppose j*m + 6*m = 16. Solve -5*x + 19 = -4*v, -m*x = -0*x - 6 for v. -1 Let a(j) = -1061*j + 9579. Let b be a(9). Solve -5*h - 50 = -5*i, 13*h = -2*i + 17*h + b for i. 5 Suppose -285*d + 281*d = m - 21, -m = 3*d - 17. Solve d*b = 2*x + 43 - 55, -b = -2*x + 3 for x. 0 Suppose 6*y - 2*y + 324 = 0. Let o = -78 - y. Solve 20 = -4*i, o*n - 2*i - 9 = 4*n for n. 1 Let l be (-3)/(-8) - ((-15960)/64)/15. Suppose l*a - 47 - 4 = 0. Solve 3*c + 15 = -3*j, 2*c - 2 = 4*j - a*c for j. -3 Let n be 3*(-2)/(-21) - (-542)/14. Suppose -54*h = -n*h - 75. Solve -3*t - 3*v + 3 = 0, -t + 23 = -2*t + h*v for t. -3 Let x = -15 - -22. Suppose b - 4*m + 16 = 7, -3*b + 2*m = x. Let r be (-3 - -12)*b/(-3). Solve 4*u - 8 = -2*l + 4, -2*u = -r*l - 14 for u. 4 Suppose 4*h - 1468 = 4*q, 5*q + 1393 = 3*h - 434. Let v = 364 + q. Solve -2 = 3*p + z, 19 = 5*p - 3*z - v for p. 1 Suppose 0 = -188*k + 211*k - 46. Solve -4*x + 7 = -3*q, -k*q = 3*q - 5*x + 10 for q. -1 Let y(b) = -b**2 - 21*b + 1153. Let g be y(25). Solve 8 = 2*r + 2*d, 5*r + g*d = 8 + 10 for r. 3 Suppose 4*y = -7*y + 4*y. Suppose y = -2*p - 94 + 100. Solve -p*j - 7 = -0*u - u, 2*j + 13 = -u for u. -5 Let t be (17613/(-189))/(-19) + 18/189. Solve -k + 9 = 3*h, -4*k - t*h - 12 = -9*h for k. 0 Suppose 5623 = -39*n + 2839 + 2901. Suppose 0 = -2*r - 3*r + 20. Solve g + 0*g = -n*a + 12, -16 = -r*a + 5*g for a. 4 Let h = 10528 + -10526. Solve 2*t - 2*k + 8 = 0, -3*t + 5*k = 6 + h for t. -6 Suppose v = 5*x + 2789 + 1419, 0 = 2*x + v + 1686. Let n = x - -845. Solve 3*i = -2*q, -2*q + n = -2*i - 7 for i. -2 Let n = -7214 + 7216. Solve 4*t - 20 = -2*k, -n*t + 234 = -2*k + 236 for k. 4 Let d = -180 + 83. Let c = 98 + d. Let z be 14 + -15 - -3*c. Solve 5*w + z*g - 7*g = 5, -3*g - 6 = 0 for w. -1 Let f = 192782 + -192778. Let o(s) = s**3 - 3*s**2 - 8*s + 5. Let u be o(5). Solve -u = -r - 2*r, 4*n = -f*r for n. -5 Let n = 129 - 131. Let f be (n - 1)/(1*24/(-16)). Solve 2*g - 18 = -b - f*g, 2*g - 10 = 0 for b. -2 Let w(a) = -24*a - 12. Let c be w(-13). Suppose -19*i + 9*i - c = 0. Let r = i + 34. Solve -5*j - 2*d - 14 = 0, -2*j = j - d + r for j. -2 Let b(x) = 24*x - 186. Let h be b(8). Solve -f + o + h = 4*o, 0 = -f + 3*o - 12 for f. -3 Suppose -3*c + 5*j + 1739 = 366, 2*j = 2*c - 914. Let f be ((-3)/(-2))/(6 - c/80). Suppose -7 = -f*u - 2. Solve a + u = 4*o, o - 4 = 4*a - 3*o for a. -1 Suppose 0 = 8*a + 889 - 4873. Let v = 512 - a. Solve -2*k - 4*l + 2 = v, 0 = -5*k + l - 8 for k. -2 Let k = -8043 + 8065. Solve s - 6 = 2*t, -19*t - 2*s = -k*t - 7 for t. -5 Suppose -5*v + 23*v = -3744. Let k = 211 + v. Solve k*u = -4*r - 5, u = -4*r - r + 2 for r. 1 Suppose 3*a + 21 + 43 = -2*r, -3*r = 3*a + 93. Let u = r + 31. Let j be 29/3 - 1/(-3). Solve k = 3*s, 0 = u*s + 2*k - j + 2 for s. 1 Suppose 2*c = 45*c + 74*c - 585. Solve -92*z = -91*z, 2*x + c*z - 8 = 0 for x. 4 Let x(t) = -t**2 + 6*t. Let h be (-2*(-6)/2)/1. Let g be x(h). Let c = g + 10. Solve -4*n + 5*z - 4*z + 17 = 0, z = -5*n + c for n. 3 Let k = 1782 - 1769. Solve b + 10*z - k*z + 10 = 0, 0 = -4*b + 3*z - 13 for b. -1 Let q(l) = l**2 + 12*l + 13. Let w be q(-6). Let z(a) = -a - 19. Let b be z(w). Solve -3*o - b = o, 5*u = -3*o - 3 for u. 0 Suppose -13*a - 8 = -15*a. Suppose -4*i + 6 + 2 = u, 0 = a*u. Suppose 0*l + 20 = 3*m + 4*l, 2*l = -i. Solve 3*r - 9 = 5*b, -2*r - m = 2*b + 2 for r. -2 Let y = -10 + -1. Let b(t) = 3*t + 37. Let m be b(y). Suppose m*d - 8 = 2*d. Solve 0 = -d*f + 5*j - 2 - 3, -2*j = f - 15 for f. 5 Let q(u) = 308*u - 4923. Let o be q(16). Solve -4*x = o*v + 9, 0 = 13*v - 9*v + x + 16 for v. -5 Suppose 2*i = -0*i - 12. Let v(c) = -5*c + 8. Let y be v(i). Let j = 40 - y. Solve j*r = 2, -p + 4*r - 10 + 2 = 0 for p. -4 Let o = -12050 - -12066. Solve -2*i - q = 10, 0 = i - 5*q + o - 11 for i. -5 Let w(i) = 10*i**3 - 24*i**2 - 2. Let v(s) = -3*s**3 + 8*s**2 + 1. Let x(d) = 7*v(d) + 2*w(d). Let q be x(8). Solve 5*f +
{ "pile_set_name": "DM Mathematics" }
301193? k**3 + 8363*k**2 - 12*k - 19 What is the y'th term of 12776, 18647, 24502, 30335, 36140, 41911? -y**3 - 2*y**2 + 5884*y + 6895 What is the w'th term of 156775, 1254016, 4232207, 10031824, 19593343, 33857240? 156746*w**3 - w**2 + 22*w + 8 What is the g'th term of -18277843, -36555687, -54833531, -73111375? -18277844*g + 1 What is the k'th term of 444448, 444585, 444722? 137*k + 444311 What is the q'th term of 576837, 1153628, 1730429, 2307246, 2884085, 3460952, 4037853, 4614794? q**3 - q**2 + 576787*q + 50 What is the l'th term of 726516, 1453013, 2179510, 2906007? 726497*l + 19 What is the j'th term of 9040, 36411, 82024, 145873, 227952? -j**3 + 9127*j**2 - 3*j - 83 What is the i'th term of 3906, 7745, 11514, 15183, 18722? -5*i**3 - 5*i**2 + 3889*i + 27 What is the d'th term of 13057612, 13057613, 13057614, 13057615, 13057616? d + 13057611 What is the k'th term of 4490, 8482, 12252, 15806, 19150, 22290, 25232, 27982? k**3 - 117*k**2 + 4336*k + 270 What is the k'th term of 893, 15470, 39765, 73778, 117509, 170958? 4859*k**2 - 3966 What is the x'th term of -45, -831, -3087, -7545, -14937? -122*x**3 - 3*x**2 + 77*x + 3 What is the v'th term of -29978, -119878, -269704, -479456, -749134, -1078738, -1468268? -29963*v**2 - 11*v - 4 What is the q'th term of 12039187, 12039193, 12039201, 12039211, 12039223, 12039237, 12039253? q**2 + 3*q + 12039183 What is the a'th term of -3521237, -3521224, -3521211, -3521198? 13*a - 3521250 What is the s'th term of -190589, -381262, -571935? -190673*s + 84 What is the x'th term of -1889532925, -1889532920, -1889532913, -1889532904, -1889532893, -1889532880, -1889532865? x**2 + 2*x - 1889532928 What is the i'th term of -15813, -47244, -94291, -156954, -235233, -329128, -438639? -7808*i**2 - 8007*i + 2 What is the f'th term of 199957814, 199957817, 199957820, 199957823, 199957826? 3*f + 199957811 What is the g'th term of -684, -2064, -3430, -4776, -6096? g**3 + g**2 - 1390*g + 704 What is the u'th term of 12513859, 25027702, 37541545? 12513843*u + 16 What is the s'th term of 6137488, 6137474, 6137448, 6137404, 6137336, 6137238, 6137104, 6136928? -s**3 - 7*s + 6137496 What is the k'th term of 397, -1541, -4789, -9347? -655*k**2 + 27*k + 1025 What is the d'th term of 6588729, 13177459, 19766189? 6588730*d - 1 What is the b'th term of -4085, -4083, -4081, -4073, -4053? b**3 - 6*b**2 + 13*b - 4093 What is the q'th term of 6708, 54746, 185140, 439068, 857708? 6863*q**3 - 3*q - 152 What is the s'th term of -2114, -2314, -2552, -2828, -3142, -3494, -3884? -19*s**2 - 143*s - 1952 What is the a'th term of 89501736, 179003470, 268505204, 358006938, 447508672? 89501734*a + 2 What is the p'th term of -1957, -2039, -2159, -2317, -2513? -19*p**2 - 25*p - 1913 What is the j'th term of -8683, -8865, -9047, -9229, -9411? -182*j - 8501 What is the z'th term of -14050, -28247, -42444? -14197*z + 147 What is the y'th term of 1035416, 2070870, 3106324, 4141778, 5177232? 1035454*y - 38 What is the c'th term of 4001632, 8003297, 12004962? 4001665*c - 33 What is the j'th term of 78317, 313370, 705143, 1253636, 1958849? 78360*j**2 - 27*j - 16 What is the l'th term of 20499, 20908, 21315, 21720, 22123? -l**2 + 412*l + 20088 What is the s'th term of -6692, -13304, -19914, -26522, -33128? s**2 - 6615*s - 78 What is the u'th term of -4133621, -4133601, -4133567, -4133519? 7*u**2 - u - 4133627 What is the a'th term of -185, -854, -1765, -2918, -4313? -121*a**2 - 306*a + 242 What is the d'th term of -736068050, -1472136097, -2208204142, -2944272185, -3680340226, -4416408265? d**2 - 736068050*d - 1 What is the z'th term of -22988, -39549, -56110, -72671? -16561*z - 6427 What is the w'th term of 293671, 293661, 293657, 293653, 293643, 293621, 293581, 293517? -w**3 + 9*w**2 - 30*w + 293693 What is the i'th term of -44582, -45117, -45710, -46391, -47190, -48137, -49262? -5*i**3 + i**2 - 503*i - 44075 What is the n'th term of -48854, -97695, -146526, -195347, -244158? 5*n**2 - 48856*n - 3 What is the h'th term of 9704, 19525, 29350, 39179? 2*h**2 + 9815*h - 113 What is the m'th term of -804261, -1608471, -2412681, -3216891, -4021101? -804210*m - 51 What is the l'th term of 33781, 36749, 44797, 60463, 86285? 423*l**3 + 2*l**2 + l + 33355 What is the p'th term of 7794, 16101, 24406, 32709? -p**2 + 8310*p - 515 What is the w'th term of 487162, 487172, 487188, 487210, 487238, 487272, 487312? 3*w**2 + w + 487158 What is the z'th term of 82743, 165227, 247709, 330189? -z**2 + 82487*z + 257 What is the r'th term of 13318, 13156, 12882, 12496, 11998? -56*r**2 + 6*r + 13368 What is the p'th term of -53908901, -53908903, -53908905, -53908907, -53908909, -53908911? -2*p - 53908899 What is the h'th term of 815155, 1630297, 2445439? 815142*h + 13 What is the d'th term of 715518, 1431038, 2146558, 2862078, 3577598, 4293118? 715520*d - 2 What is the l'th term of 359, 1755, 4127, 7481, 11823, 17159? l**3 + 482*l**2 - 57*l - 67 What is the w'th term of -425408, -850904, -1276402, -1701902, -2127404? -w**2 - 425493*w + 86 What is the p'th term of -3304, -6642, -10046, -13546, -17172, -20954, -24922, -29106? -5*p**3 - 3*p**2 - 3294*p - 2 What is the d'th term of -28916622, -28916643, -28916664, -28916685? -21*d - 28916601 What is the f'th term of 5551, 41298, 138337, 327316, 638883, 1103686, 1752373? 5108*f**3 - 2*f**2 - 3*f + 448 What is the m'th term of -2593, -5904, -9201, -12484? 7*m**2 - 3332*m + 732 What is the l'th term of 30743, 61932, 93563, 125636? 221*l**2 + 30526*l - 4 What is the n'th term of -21, 123, 513, 1257, 2463? 18*n**3 + 15*n**2 - 27*n - 27 What is the n'th term of 2699, 6290, 12273, 20642, 31391, 44514, 60005, 77858? -n**3 + 1202*n**2 - 8*n + 1506 What is the a'th term of -2, -54, -154, -320, -570? -3*a**3 - 6*a**2 - 13*a + 20 What is the p'th term of -6740, -6692, -6584, -6392, -6092? 4*p**3 + 6*p**2 + 2*p - 6752 What is the l'th term of 560, 2939, 6916, 12491? 799*l**2 - 18*l - 221 What is the f'th term of 1256469, 1256488, 1256507, 1256526, 1256545? 19*f + 1256450 What is the c'th term of -25597, -49839, -74081, -98323? -24242*c - 1355 What is the c'th term of -521, -1973, -4279, -7349, -11093, -15421, -20243? 15*c**3 - 517*c**2 - 6*c - 13 What is the c'th term of -122183343, -244366683, -366550023? -122183340*c - 3 What is the l'th term of -156, -2501, -4846, -7191, -9536? -2345*l + 2189 What is the x'th term of -9188015, -9188009, -9188013, -9188033, -9188075, -9188145? -x**3 + x**2 + 10*x - 9188025 What is the v'th term of -769174, -1539072, -2308970, -3078868, -3848766, -4618664? -769898*v + 724 What is the o'th term of -3076785, -6153230, -9229673, -12306114, -15382553, -18458990? o**2 - 3076448*o - 338 What is the k'th term of -26687, -45681, -64675, -83669, -102663, -121657? -18994*k - 7693 What is the q'th term of 342, 1404, 4292, 9918, 19194, 33032, 52344, 78042? 152*q**3 + q**2 - 5*q + 194 What is the s'th term of -292, -123, -54, -85, -216, -447? -50*s**2 + 319*s - 561 What is the c'th term of 30170, 62213, 94246, 126263, 158258, 190225, 222158? -c**3 + c**2 + 32047*c - 1877 What is the y'th term of 1726, 14288, 48624, 115702, 226490, 391956? 1828*y**3 - 81*y**2 + 9*y - 30 What is the y'th term of 18670, 19778, 21624, 24208, 27530? 369*y**2 + y + 18300 What is the t'th term of 14791, 59242, 133423, 237412, 371287, 535126, 729007? 13*t**3 + 14787*t**2 - t - 8 What is the k'th term of 1281, 3576, 7425, 12846, 19857? 3*k**3 + 759*k**2 - 3*k + 522 What is the o'th term of 13292, 13300, 13310, 13316, 13312, 13292, 13250? -o**3 + 7*o**2 - 6*o + 13292 What is the f'th term of -18214, -18291, -18420, -18601, -18834? -26*f**2 + f - 18189 What is the z'th term of 82, 1433, 3628, 6667, 10550? 422*z**2 + 85*z - 425 What is the i'th term of -451483, -451470, -451463, -451462? -3*i**2 + 22*i - 451502 What is the y'th term of 50109621, 50109634, 50109663, 50109714, 50109793, 50109906, 50110059? y**3 + 2*y**2 + 50109618 What is the x'th term of -191491, -382997, -574527, -766081, -957659, -1149261, -1340887? -12*x**2 - 191470*x - 9 What is the p'th term of -1395608, -1395610, -1395612? -2*p - 1395606 What is the m'th term of 3865, 15103, 33849, 60103, 93865? 3754*m**2 - 24*m + 135 What is the i'th term of 2751, 4938, 6535, 7536, 7935, 77
{ "pile_set_name": "DM Mathematics" }
2*sqrt(19) + 0)) + (5*sqrt(171))**2. 2*sqrt(19) + 4275 Simplify ((sqrt(152) + sqrt(152)*1 + sqrt(152))/((sqrt(10) + sqrt(10) + sqrt(40))/sqrt(5) - sqrt(2)))**2. 76 Simplify (1 + sqrt(2))*-6 + sqrt(8)/sqrt(4) + -4. -10 - 5*sqrt(2) Simplify 5 + sqrt(612) + (sqrt(612) - (-4*sqrt(612))**2). -9787 + 12*sqrt(17) Simplify -1*sqrt(5103)*5. -135*sqrt(7) Simplify ((sqrt(18) + 1*sqrt(18)*-3 - sqrt(18))/(sqrt(54)*1))**2. 3 Simplify (-3 + sqrt(931) + 1)*6. -12 + 42*sqrt(19) Simplify (sqrt(17) + (sqrt(153) + sqrt(153)*2)/sqrt(9) + sqrt(68)*-2)**2. 0 Simplify (sqrt(3300) + -2*sqrt(3300) - sqrt(33))/(sqrt(176) - sqrt(176)*3). 11*sqrt(3)/8 Simplify ((sqrt(119) - 5*(2*sqrt(119) - sqrt(119)))/((sqrt(7) - sqrt(7)*-1)*4))**2. 17/4 Simplify 0 + (sqrt(468)*5)**2 + sqrt(468) + sqrt(13). 7*sqrt(13) + 11700 Simplify ((sqrt(209)/(sqrt(11)*1) - sqrt(19)*2*-4) + -2)**2. -36*sqrt(19) + 1543 Simplify sqrt(19)*3*4*6. 72*sqrt(19) Simplify (2 + (-2*sqrt(3)*3 - sqrt(9)/sqrt(12)))**2*-3. -1569/4 + 78*sqrt(3) Simplify (-5*(sqrt(605) + 0) + sqrt(605) - sqrt(605))**2. 15125 Simplify ((sqrt(19)*2 + sqrt(19))**2*-1 - (sqrt(95)*1 + sqrt(95) + sqrt(95) + sqrt(95))/sqrt(5)) + 2. -169 - 4*sqrt(19) Simplify (5*-2*sqrt(88))/(sqrt(56)/(sqrt(7)*-2))*-3. -60*sqrt(11) Simplify 6*3*(sqrt(75) - sqrt(75)*3). -180*sqrt(3) Simplify -2*(sqrt(17) + 0) + sqrt(17) - (((sqrt(153))**2 - sqrt(17)) + -5). -148 Simplify (-1 + -4 + sqrt(98)*-2)**2. 140*sqrt(2) + 417 Simplify sqrt(300) - (-3 + sqrt(300) + (sqrt(300) + -2*sqrt(300) + sqrt(300))**2). 3 Simplify -1*(sqrt(405) + 1). -9*sqrt(5) - 1 Simplify ((1 + sqrt(11))*-2)**2 - (-1 + sqrt(44)). 6*sqrt(11) + 49 Simplify ((sqrt(2736) + 1 + sqrt(19) - (-1 + sqrt(19) + -3)) + 5)**2. 240*sqrt(19) + 2836 Simplify ((-1 + 4 + sqrt(99))*2)**2. 72*sqrt(11) + 432 Simplify (-2*sqrt(208) + 4)**2*-2. -1696 + 128*sqrt(13) Simplify (sqrt(220)*3)/sqrt(11) - (sqrt(20) - (sqrt(2880) + 3*sqrt(2880))). 100*sqrt(5) Simplify -1*(1 + sqrt(2736)) + sqrt(2736) + (sqrt(2736) + 0 + sqrt(2736) + 0)**2. 10943 Simplify (sqrt(171)/sqrt(324)*4)**2 + 2. 94/9 Simplify -2*((sqrt(49)*2)/sqrt(7) - (1*sqrt(56))/sqrt(8)). -2*sqrt(7) Simplify (1*sqrt(78)*-4)/sqrt(6). -4*sqrt(13) Simplify -6*(sqrt(209)*-1)/sqrt(11). 6*sqrt(19) Simplify (2*(sqrt(343) + (sqrt(343) - -3*sqrt(343)*-3) - sqrt(343)))**2. 87808 Simplify (sqrt(52)*-5 + sqrt(13)*1 + 1)**2. -18*sqrt(13) + 1054 Simplify 4*(1*sqrt(12))/sqrt(6). 4*sqrt(2) Simplify -4*(4 + 0 + sqrt(19)). -4*sqrt(19) - 16 Simplify (sqrt(500) - (1 + sqrt(500)) - (2 + sqrt(45))) + 3. -3*sqrt(5) Simplify (-2*(1*sqrt(684) + sqrt(684))**2 + -3)*6. -32850 Simplify (sqrt(175)/sqrt(5)*1)/((sqrt(35)/sqrt(5) + sqrt(7))*-2). -sqrt(5)/4 Simplify 4*(sqrt(171) + -2 + sqrt(19) + 5)**2. 96*sqrt(19) + 1252 Simplify sqrt(637) + -3 + sqrt(637)*3. -3 + 28*sqrt(13) Simplify (5 + sqrt(2448)*-2 + sqrt(2448))**2 + sqrt(2448). -108*sqrt(17) + 2473 Simplify (6*(sqrt(245) + sqrt(245) + 0))**2. 35280 Simplify sqrt(1008) + -1*sqrt(1008) + -4 + -2. -6 Simplify (sqrt(153)*-4)**2 + sqrt(1088) + 3 + sqrt(1088). 16*sqrt(17) + 2451 Simplify (sqrt(132)*6)/(sqrt(75) + sqrt(75)*2). 4*sqrt(11)/5 Simplify (-1*sqrt(204)*3 + sqrt(204) + sqrt(204))/(1*sqrt(108)). -sqrt(17)/3 Simplify sqrt(272) + -1 - sqrt(17) - (sqrt(68) + 3). -4 + sqrt(17) Simplify (-3*sqrt(36)*2)/(sqrt(48)*-2). 3*sqrt(3)/2 Simplify (-5*-1*sqrt(133))/sqrt(7). 5*sqrt(19) Simplify 0 + (sqrt(19) + 0)**2 + (sqrt(19) + -2 + 5)**2. 6*sqrt(19) + 47 Simplify (sqrt(2448) - 6*(sqrt(2448)*-2)**2) + (sqrt(2448) - (sqrt(2448) + sqrt(2448) + -1 + -4))**2. -56279 - 108*sqrt(17) Simplify 1 + ((-2 + sqrt(80) + 2 - sqrt(80)) + sqrt(80) + sqrt(80))**2. 321 Simplify sqrt(144)/sqrt(8) + sqrt(64)/sqrt(2). 7*sqrt(2) Simplify (1*(-1 + sqrt(17)))**2 + (sqrt(272) + 4)**2. 30*sqrt(17) + 306 Simplify (-3*sqrt(7) + 5)**2 - sqrt(7) - (2 + sqrt(343))**2. -259 - 59*sqrt(7) Simplify (sqrt(21) - 6*sqrt(336))/(-2*sqrt(567)). 23*sqrt(3)/18 Simplify (5*3*sqrt(204))/sqrt(12). 15*sqrt(17) Simplify ((sqrt(2) + -2 - sqrt(2))*-1 + -3)*5. -5 Simplify -6*-3*(1*sqrt(700)*-5)**2. 315000 Simplify ((sqrt(7) + 0)*4 + sqrt(63)/sqrt(729))**2. 9583/81 Simplify -1*((sqrt(90)/sqrt(2))/sqrt(9) + -1*sqrt(5) + -3). 3 Simplify (sqrt(3) - (-2 + sqrt(3)*1)) + -3. -1 Simplify -4*2*sqrt(13) + (sqrt(26) + (sqrt(26) + sqrt(936) + sqrt(26) - sqrt(26)))/sqrt(2). 0 Simplify (sqrt(13) - sqrt(78)/sqrt(384)) + 1. 1 + 7*sqrt(13)/8 Simplify (((-2*sqrt(171) - sqrt(171))*1)/(4*sqrt(18)/sqrt(2)))**2. 171/16 Simplify 1 + -2 + sqrt(5) + sqrt(5) - (sqrt(5) + 4*(sqrt(10)/sqrt(2) + sqrt(5))). -7*sqrt(5) - 1 Simplify (2*sqrt(119)*2)/(sqrt(847) - (sqrt(847)*2 + sqrt(847))). -2*sqrt(17)/11 Simplify 2*(sqrt(931)*1 + -1 + sqrt(931) + (sqrt(931) + 0)*6)**2. -224*sqrt(19) + 119170 Simplify sqrt(425)*-2*-5. 50*sqrt(17) Simplify (sqrt(252)/(sqrt(9)*2) + sqrt(28))/(sqrt(24)/(sqrt(6) + sqrt(18)/sqrt(3))). 3*sqrt(7) Simplify 3 + sqrt(147)*-2. -14*sqrt(3) + 3 Simplify (-4*-1*sqrt(1700) - sqrt(1700)) + (0 + sqrt(1700))*-5. -20*sqrt(17) Simplify ((sqrt(36)/sqrt(6) - sqrt(6))/sqrt(3))**2 - sqrt(200)*-3. 30*sqrt(2) Simplify sqrt(104)/(-4*sqrt(32)). -sqrt(13)/8 Simplify (-1 + sqrt(700) - sqrt(700)) + -4 + sqrt(700) + 2*sqrt(700) + -3. -8 + 30*sqrt(7) Simplify (-3 + (0 + sqrt(1300) - sqrt(1300)))**2 + 2. 11 Simplify -1*(sqrt(539) - -1*(sqrt(539) + 3))**2. -2165 - 84*sqrt(11) Simplify (-1 + sqrt(325) + -2 - -2*(sqrt(325) + 0))*4. -12 + 60*sqrt(13) Simplify (sqrt(38)/(1*sqrt(2)) + sqrt(1216)*-3)**2. 10051 Simplify ((-2*sqrt(152))/sqrt(8))**2 - ((sqrt(1216) + sqrt(1216) + 1 + sqrt(1216))**2 + sqrt(19) + sqrt(19)). -10869 - 50*sqrt(19) Simplify 1*sqrt(55)/(sqrt(5)*-1). -sqrt(11) Simplify (-3 + 1 + (sqrt(4)/sqrt(2) - sqrt(2))*3)**2. 4 Simplify -1*-3*sqrt(252). 18*sqrt(7) Simplify (sqrt(6)/sqrt(2) + -5 + -4)*1. -9 + sqrt(3) Simplify (sqrt(50)/(-3*sqrt(40)))**2*-2. -5/18 Simplify -1*sqrt(11) + -5 + 3. -sqrt(11) - 2 Simplify 3 + sqrt(7)*-5 + (sqrt(7) + -1)*4. -sqrt(7) - 1 Simplify (sqrt(425) - (sqrt(425) + -1 + sqrt(425) + sqrt(425))*-5)**2 - (1 + sqrt(425))*5. -825*sqrt(17) + 108820 Simplify sqrt(110)/(sqrt(640)*-1). -sqrt(11)/8 Simplify sqrt(11) + sqrt(11) + (sqrt(66)/sqrt(6) + -4)**2 + (sqrt(11)*1 + sqrt(11))*-5. -16*sqrt(11) + 27 Simplify 3*sqrt(17)*-3*5. -45*sqrt(17) Simplify -2 + sqrt(6)/sqrt(3) + -3*sqrt(2)*1. -2*sqrt(2) - 2 Simplify 2 + sqrt(5) + -1 + -1. sqrt(5) Simplify sqrt(57)/(sqrt(21)/sqrt(28)). 2*sqrt(19) Simplify (sqrt(300) + sqrt(300) + 0)**2 + 4. 1204 Simplify (2*sqrt(22)*4)/((sqrt(176) - sqrt(11))*3). 8*sqrt(2)/9 Simplify sqrt(7) + 0 + 0 + (sqrt(77)/(sqrt(22)/sqrt(2)))**2. sqrt(7) + 7 Simplify 1*(3 + sqrt(13)) - ((5*(sqrt(13) + -3) - sqrt(13)) + sqrt(13)). -4*sqrt(13) + 18 Simplify 5*6*4*sqrt(2). 120*sqrt(2) Simplify -5 + 0 + sqrt(612) + 1. -4 + 6*sqrt(17) Simplify 2 + sqrt(76)/sqrt(4) + -4. -2 + sqrt(19) Simplify (sqrt(68) + (sqrt(68) + (sqrt(68) - ((sqrt(68) - sqrt(68)*-2) + sqrt(68))))*-4)/((sqrt(24)*-2)/sqrt(6)). -9*sqrt(17)/2 Simplify ((1*(sqrt(119) + -2*sqrt(119) + sqrt(119) + sqrt(119)))/(-4*sqrt(35)/sqrt(5)))**2. 17/16 Simplify (sqrt(119)/(sqrt(112)*1))**2. 17/16 Simplify -4*(sqrt(3) + sqrt(3) + (-1*sqrt(12))/sqrt(4))**2*5. -60 Simplify 0 + 1*((-1 + sqrt(3888))**2 + sqrt(27) + sqrt(27)). -66*sqrt(3) + 3889 Simplify (sqrt(144)*-2)/(sqrt(132)/(sqrt(44)/sqrt(4))). -4*sqrt(3) Simplify (sqrt(18) + sqrt(90)/sqrt(20))/(sqrt(48)/(sqrt(24)/sqrt(3))). 3*sqrt(3)/2 Simplify sqrt(4)/(sqrt(128)*4). sqrt(2)/32 Simplify ((2*sqrt(684)*-1 + sqrt(684) - sqrt(684))*5)**2. 68400 Simplify (5*sqrt(102)*2 + sqrt(102))/(sqrt(54)*5). 11*sqrt(17)/15 Simplify 5*(-5 + sqrt(68)/sqrt(4))**2. -50*sqrt(17) + 210 Simplify 2*(-1 + sqrt(17)) - (-3 + sqrt(1377))**2. -1388 + 56*sqrt(17) Simplify (sqrt(55)*2)/sqrt(11) + (sqrt(5) - (sqrt(320)*3)**2). -2880 + 3*sqrt(5) Simplify -4*((sqrt(288))**2 + sqrt(18)) + -5*2*sqrt(18). -1152 - 42*sqrt(2) Simplify (-5*(sqrt(5) + -1) + -5)**2 + 0. 125 Simplify 0 + (sqrt(288)*2)**2. 1152 Simplify sqrt(78)/sqrt(24) + (0 + sqrt(13) - sqrt(13)) + -4. -4 + sqrt(13)/2 Simplify (sqrt(726) - (sqrt(726) - (sqrt(726)*2 - sqrt(726))))/(sqrt(108)*-1)*-6. 11*sqrt(2) Simplify -5 + sqrt(17)*1 + (-1*sqrt(136))/sqrt(8) + -4. -9 Simplify -2*-3*sqrt(17) + (sqrt(17) - ((sqrt(17) + 5)**2*1 + sqrt(17))). -42 - 4*sqrt(17) Simplify sqrt(539
{ "pile_set_name": "DM Mathematics" }
+ 14 What is the k'th term of 55, 21, -13, -47, -81, -115? -34*k + 89 What is the z'th term of -7538, -7536, -7526, -7502, -7458? z**3 - 2*z**2 + z - 7538 What is the i'th term of 34, 388, 1342, 3196, 6250, 10804, 17158? 50*i**3 + 4*i - 20 What is the r'th term of -84, -153, -222, -291, -360, -429? -69*r - 15 What is the i'th term of 65, 121, 177, 233? 56*i + 9 What is the h'th term of -12, -52, -158, -360, -688? -5*h**3 - 3*h**2 + 4*h - 8 What is the b'th term of -153, -147, -137, -123? 2*b**2 - 155 What is the u'th term of 37, 132, 291, 514, 801? 32*u**2 - u + 6 What is the p'th term of 149, 147, 139, 125? -3*p**2 + 7*p + 145 What is the u'th term of -247, -257, -287, -349, -455, -617, -847, -1157? -2*u**3 + 2*u**2 - 2*u - 245 What is the l'th term of 1513, 1516, 1519, 1522? 3*l + 1510 What is the p'th term of -16, -14, -2, 26, 76? p**3 - p**2 - 2*p - 14 What is the f'th term of -165, -331, -497, -663, -829? -166*f + 1 What is the f'th term of 81, 67, 53? -14*f + 95 What is the f'th term of -21, -62, -151, -312, -569, -946, -1467? -4*f**3 - 13*f - 4 What is the a'th term of -142, -275, -406, -535, -662, -787, -910? a**2 - 136*a - 7 What is the o'th term of -568, -571, -574? -3*o - 565 What is the i'th term of 28586, 28576, 28554, 28514, 28450, 28356, 28226? -i**3 - 3*i + 28590 What is the o'th term of 2068, 2070, 2082, 2110, 2160, 2238, 2350, 2502? o**3 - o**2 - 2*o + 2070 What is the f'th term of 33, 47, 87, 165, 293, 483, 747? 2*f**3 + f**2 - 3*f + 33 What is the z'th term of 51, 19, -9, -33, -53, -69? 2*z**2 - 38*z + 87 What is the c'th term of -8119, -8122, -8127, -8134, -8143, -8154? -c**2 - 8118 What is the c'th term of -10, -22, -46, -88, -154, -250? -c**3 - 5*c - 4 What is the g'th term of 35, 64, 71, 44, -29, -160, -361, -644? -2*g**3 + g**2 + 40*g - 4 What is the d'th term of 166, 319, 454, 565, 646, 691? -d**3 - 3*d**2 + 169*d + 1 What is the d'th term of 55, 58, 71, 100, 151, 230? d**3 - d**2 - d + 56 What is the r'th term of -25, -45, -65, -85, -105? -20*r - 5 What is the g'th term of 366, 362, 358? -4*g + 370 What is the q'th term of 9, 24, 43, 66, 93, 124, 159? 2*q**2 + 9*q - 2 What is the r'th term of 950, 949, 946, 941, 934, 925, 914? -r**2 + 2*r + 949 What is the t'th term of 1352, 1351, 1350? -t + 1353 What is the r'th term of 30, 40, 50, 60? 10*r + 20 What is the h'th term of -202, -208, -214, -220, -226, -232? -6*h - 196 What is the i'th term of 73, 141, 221, 319, 441, 593, 781? i**3 + 61*i + 11 What is the g'th term of -267, -286, -317, -360? -6*g**2 - g - 260 What is the u'th term of 82, 69, 34, -35, -150, -323, -566, -891? -2*u**3 + u**2 - 2*u + 85 What is the r'th term of 847, 1693, 2539? 846*r + 1 What is the t'th term of -5, -8, 1, 28, 79, 160? t**3 - 10*t + 4 What is the i'th term of -264, -1113, -2520, -4479, -6984, -10029, -13608, -17715? i**3 - 285*i**2 - i + 21 What is the r'th term of -4265, -4259, -4251, -4241, -4229, -4215, -4199? r**2 + 3*r - 4269 What is the t'th term of -53, -83, -133, -203? -10*t**2 - 43 What is the z'th term of 134, 148, 188, 266, 394, 584, 848, 1198? 2*z**3 + z**2 - 3*z + 134 What is the f'th term of -140, -119, -72, 13, 148, 345? 2*f**3 + f**2 + 4*f - 147 What is the i'th term of -821, -822, -821, -818, -813, -806? i**2 - 4*i - 818 What is the f'th term of -312, -275, -222, -159, -92, -27? -f**3 + 14*f**2 + 2*f - 327 What is the v'th term of -78, -144, -212, -282? -v**2 - 63*v - 14 What is the d'th term of 76, 154, 232, 310, 388, 466? 78*d - 2 What is the g'th term of -3964, -7928, -11892, -15856? -3964*g What is the c'th term of -2200, -4400, -6600, -8800, -11000, -13200? -2200*c What is the k'th term of 126, 125, 124, 123, 122, 121? -k + 127 What is the h'th term of 109, 443, 1001, 1783, 2789, 4019, 5473? 112*h**2 - 2*h - 1 What is the a'th term of -765, -767, -771, -777? -a**2 + a - 765 What is the o'th term of -156, -152, -150, -150, -152, -156, -162? -o**2 + 7*o - 162 What is the u'th term of -251, -497, -743? -246*u - 5 What is the u'th term of 58, 193, 506, 1087, 2026, 3413, 5338, 7891? 15*u**3 - u**2 + 33*u + 11 What is the d'th term of 114, 144, 162, 162, 138, 84, -6? -d**3 + 37*d + 78 What is the m'th term of -38, -71, -102, -131? m**2 - 36*m - 3 What is the l'th term of 279, 268, 243, 198, 127, 24? -l**3 - l**2 - l + 282 What is the d'th term of -17, -28, -43, -62, -85? -2*d**2 - 5*d - 10 What is the d'th term of 1627, 1638, 1671, 1738, 1851, 2022, 2263? 2*d**3 - d**2 + 1626 What is the y'th term of 33, 60, 113, 204, 345, 548? 2*y**3 + y**2 + 10*y + 20 What is the o'th term of -60, -73, -94, -129, -184, -265, -378? -o**3 + 2*o**2 - 12*o - 49 What is the n'th term of 1044, 1052, 1074, 1116, 1184, 1284, 1422, 1604? n**3 + n**2 - 2*n + 1044 What is the t'th term of -55, -69, -83, -97, -111? -14*t - 41 What is the x'th term of -4, -55, -192, -457, -892, -1539, -2440, -3637? -7*x**3 - x**2 + x + 3 What is the r'th term of 480, 960, 1440? 480*r What is the w'th term of 94, 112, 136, 166, 202, 244? 3*w**2 + 9*w + 82 What is the n'th term of -5, -4, 7, 34, 83? n**3 - n**2 - 3*n - 2 What is the a'th term of 661, 646, 629, 610, 589, 566, 541? -a**2 - 12*a + 674 What is the d'th term of -417, -405, -393? 12*d - 429 What is the b'th term of -1390, -1384, -1374, -1360, -1342? 2*b**2 - 1392 What is the s'th term of -2291, -4582, -6873, -9164? -2291*s What is the w'th term of -44, -82, -120? -38*w - 6 What is the m'th term of 67, 138, 215, 298, 387, 482? 3*m**2 + 62*m + 2 What is the b'th term of 148, 145, 134, 109, 64, -7? -b**3 + 2*b**2 - 2*b + 149 What is the x'th term of 63, 220, 473, 822, 1267, 1808, 2445? 48*x**2 + 13*x + 2 What is the s'th term of -3573, -7142, -10711, -14280, -17849, -21418? -3569*s - 4 What is the q'th term of 521, 520, 519? -q + 522 What is the z'th term of -100, -224, -344, -454, -548? z**3 - 4*z**2 - 119*z + 22 What is the g'th term of 0, -2, 0, 6? 2*g**2 - 8*g + 6 What is the h'th term of -434, -908, -1382, -1856, -2330, -2804? -474*h + 40 What is the g'th term of -87, -116, -165, -234, -323, -432, -561? -10*g**2 + g - 78 What is the a'th term of -185, -419, -705, -1043, -1433, -1875, -2369? -26*a**2 - 156*a - 3 What is the a'th term of 214, 427, 638, 847, 1054? -a**2 + 216*a - 1 What is the y'th term of -29, -67, -123, -203, -313, -459, -647, -883? -y**3 - 3*y**2 - 22*y - 3 What is the r'th term of 12, 1, -26, -75, -152? -r**3 - 2*r**2 + 2*r + 13 What is the f'th term of 2364, 4725, 7086? 2361*f + 3 What is the l'th term of -39, -75, -113, -153, -195, -239, -285? -l**2 - 33*l - 5 What is the r'th term of -23, -31, -47, -77, -127, -203? -r**3 + 2*r**2 - 7*r - 17 What is the d'th term of -82, -332, -748, -1330, -2078, -2992? -83*d**2 - d + 2 What is the t'th term of 1295, 1304, 1323, 1358, 1415, 1500? t**3 - t**2 + 5*t + 1290 What is the p'th term of -66, -37, -8, 21, 50? 29*p - 95 What is the c'th term of -58, -55, -54, -55? -c**2 + 6*c - 63 What is the u'th term of -186, -371, -558, -747, -938, -1131, -1326? -u**2 - 182*u - 3 What is the q'th term of -82, -129, -206, -313, -450? -15*q**2 - 2*q - 65 What is the g'th term of 22, 41, 56, 67, 74, 77, 76? -2*g**2 + 25*g - 1 What is the a'th term of -471, -945, -1419, -1893, -2367, -2841? -474*a + 3 What is the r'th term of -52, -55, -58? -3*r - 49 What is the t'th term of 94, 96, 98? 2*t + 92 What is the q'th term of -28, 37, 220, 581, 1180, 2077, 3332, 5005? 10*q**3 - q**2 - 2*q - 35 What is the u'th term of -113, -93, -55, 7, 99? u**3 + 3*u**2 + 4*u - 121 What is the z'th term of -1, -19, -35, -49, -61? z**2 - 21*z + 19 What is the j'th term of -50, -95, -142, -191, -242, -295, -350? -j**2 - 42*j - 7 What is the j'th term of 12, 36, 76, 132? 8*j**2 + 4 What is the f'th term of 399, 397, 395, 393, 391? -2*f + 401 What is the m'th term of 21, 38, 47, 48, 41? -4*m**2 + 29*m - 4 What is the g'th term of 1562, 3129, 4696, 6263, 7830, 9397? 1567*g - 5 What is the f'th term of -198, -399, -600, -801, -1002, -1203? -201*f + 3 What is the r'th term of 57, 94, 149, 228, 337? r**3 + 3*r**2 + 21*r + 32 What is the x'th term of -114, -226, -338, -450? -112*x - 2 What is the t'th term of -672, -1342, -2012, -2682, -3352, -4022? -670*t - 2 What is the m'th term of -24638, -49275, -73912, -98549, -123186? -24637*m - 1 W
{ "pile_set_name": "DM Mathematics" }
tor of -137/717120 and 67/5400. 3585600 What is the common denominator of 5/3992803 and -65/95636? 15971212 What is the common denominator of -23/180 and -101/2551608? 12758040 What is the least common multiple of 281135852 and 421703778? 843407556 Calculate the common denominator of -49/65455 and 82/4673487. 23367435 Calculate the least common multiple of 150 and 39348840. 196744200 What is the lowest common multiple of 16305 and 51705? 56203335 Find the common denominator of -89/14873859 and -97/4158. 89243154 Calculate the smallest common multiple of 1656 and 307456. 63643392 What is the smallest common multiple of 63772800 and 171600? 701500800 Find the common denominator of -49/2648328 and 73/272. 5296656 Calculate the lowest common multiple of 107328 and 354. 6332352 What is the common denominator of -1/1160 and -54/71275? 16535800 What is the lowest common multiple of 126168 and 410046? 1640184 What is the common denominator of -3/194 and -67/98358? 98358 Calculate the lowest common multiple of 4658512 and 4600. 116462800 What is the lowest common multiple of 10850 and 1579850? 342827450 What is the common denominator of -151/248376 and -83/8400? 86931600 Calculate the smallest common multiple of 9133734 and 2. 9133734 Calculate the smallest common multiple of 5573856 and 26011328. 78033984 Find the common denominator of 113/110681536 and -25/4256. 110681536 Calculate the lowest common multiple of 512276 and 40. 5122760 Calculate the lowest common multiple of 2519 and 2033978. 22373758 Calculate the common denominator of -103/1636272 and -97/1170. 106357680 What is the lowest common multiple of 272 and 3336080? 3336080 Calculate the least common multiple of 52 and 481169. 1924676 Calculate the common denominator of -103/61902210 and -19/79827. 680924310 Calculate the common denominator of 11/51 and 26/526857. 8956569 Calculate the least common multiple of 2457 and 120330. 4692870 Find the common denominator of 86/181485 and 2/5263065. 5263065 Calculate the smallest common multiple of 16852191 and 8. 134817528 Find the common denominator of 14/15828525 and 89/148788135. 743940675 Find the common denominator of 38/198561 and -29/694. 137801334 Calculate the least common multiple of 13691057 and 2649882. 82146342 Calculate the common denominator of 43/27732 and -131/187014. 864378708 Calculate the lowest common multiple of 88682 and 108. 4788828 What is the least common multiple of 83472208 and 1856? 333888832 Calculate the common denominator of 11/130 and -22/100425. 200850 Calculate the least common multiple of 240 and 12825600. 12825600 What is the lowest common multiple of 4104119 and 10? 41041190 Calculate the least common multiple of 268611816 and 20064. 1074447264 Calculate the lowest common multiple of 177 and 835902. 49318218 Calculate the least common multiple of 2618487 and 18. 5236974 Calculate the smallest common multiple of 384776 and 4492. 432103448 What is the lowest common multiple of 3912117 and 13158939? 144748329 Calculate the least common multiple of 1127304 and 994680. 16909560 What is the common denominator of -57/6547180 and 41/370058? 85113340 What is the common denominator of 61/715058 and 1/2068? 15731276 Calculate the smallest common multiple of 184700 and 12564. 580142700 Calculate the smallest common multiple of 274260 and 30. 274260 What is the least common multiple of 75812988 and 593614? 530690916 Find the common denominator of -47/34682 and 23/18060. 313178460 What is the common denominator of -64/5769 and -29/40717602? 40717602 Calculate the smallest common multiple of 7 and 8213037. 8213037 Calculate the common denominator of 81/13736 and 103/242232. 415912344 Calculate the least common multiple of 22940 and 10804740. 10804740 Calculate the smallest common multiple of 64167600 and 1200. 64167600 What is the least common multiple of 60909840 and 5216? 121819680 Calculate the least common multiple of 733362 and 829857. 31534566 What is the common denominator of -65/79702 and 55/546528? 3825696 Calculate the least common multiple of 6543780 and 18976962. 189769620 What is the smallest common multiple of 762436 and 4? 762436 What is the common denominator of 47/453968 and 91/106816? 1815872 What is the common denominator of 59/294 and 67/14392? 302232 Calculate the smallest common multiple of 868 and 344001. 42656124 What is the lowest common multiple of 22573302 and 10? 112866510 Calculate the smallest common multiple of 3300 and 7319400. 7319400 What is the common denominator of -83/175695 and -59/392836? 76603020 Calculate the lowest common multiple of 3857 and 68618. 264659626 What is the common denominator of 137/1044 and -163/152082? 8820756 Calculate the smallest common multiple of 12712077 and 1776957. 165257001 Calculate the least common multiple of 861651 and 401386. 3565511838 Calculate the least common multiple of 1278 and 102418920. 102418920 What is the common denominator of 83/1416 and -20/201267? 94998024 Calculate the smallest common multiple of 2088 and 71940. 12517560 What is the common denominator of -12/1057 and -83/11477510? 80342570 Find the common denominator of 7/4908648 and -103/144. 29451888 What is the common denominator of -89/379530 and -107/1222930? 11006370 What is the common denominator of 109/13128852 and -59/109407100? 328221300 Calculate the smallest common multiple of 145097 and 7833. 3047037 Find the common denominator of 46/16909 and -47/128728217. 128728217 What is the lowest common multiple of 524 and 91244? 11952964 What is the common denominator of -139/12 and 131/746175426? 1492350852 What is the common denominator of -101/1728 and -59/168688512? 506065536 What is the lowest common multiple of 124 and 11352? 351912 Calculate the lowest common multiple of 10 and 65326584. 326632920 Calculate the common denominator of 74/13675455 and 34/5475. 68377275 Calculate the smallest common multiple of 7992008 and 209. 87912088 What is the common denominator of -37/146631018 and -71/12? 293262036 What is the common denominator of -101/181870 and 24/767? 10730330 Find the common denominator of -125/168 and -47/10996818. 43987272 What is the least common multiple of 16114 and 439978? 506414678 Find the common denominator of -27/8344522 and -101/18753668. 1819105796 Find the common denominator of 9/21525730 and -37/178955. 150680110 Find the common denominator of 49/172602 and 93/116429638. 1047866742 Calculate the smallest common multiple of 2808 and 262. 367848 What is the lowest common multiple of 20830 and 5010? 10435830 What is the smallest common multiple of 273000 and 17724? 57603000 What is the least common multiple of 598614 and 1254? 6584754 Calculate the common denominator of -169/90 and 11/94595775. 567574650 What is the common denominator of -19/2177 and 1/36805606? 257639242 What is the smallest common multiple of 8138036 and 1077093? 73242324 What is the least common multiple of 31610 and 140? 442540 What is the common denominator of -129/11389630 and 39/20? 22779260 What is the common denominator of 51/2822200 and -55/8353712? 208842800 What is the least common multiple of 781 and 3834000? 42174000 Find the common denominator of 99/8234 and -113/35800. 823400 Calculate the smallest common multiple of 153244 and 111986. 2911636 Find the common denominator of -107/1393590 and 55/144. 33446160 Find the common denominator of 157/540 and -34/1333167. 239970060 What is the least common multiple of 1426800 and 40? 1426800 Calculate the least common multiple of 69368 and 34138. 91080184 Calculate the lowest common multiple of 63989399 and 319. 703883389 Calculate the least common multiple of 7269136 and 232. 210804944 What is the least common multiple of 219 and 4840338? 4840338 Find the common denominator of -209/1387680 and -197/693840. 1387680 What is the smallest common multiple of 5942313 and 20? 118846260 What is the common denominator of 91/25768 and 33/260? 1674920 Calculate the common denominator of -24/107185 and 22/30555. 6752655 Calculate the smallest common multiple of 37 and 357719. 13235603 Calculate the common denominator of 7/4 and 41/889024. 889024 What is the common denominator of -21/200 and -37/1832800? 1832800 Calculate the least common multiple
{ "pile_set_name": "DM Mathematics" }
15883*x + 2 What is the h'th term of 229, 519, 811, 1105, 1401, 1699? h**2 + 287*h - 59 What is the w'th term of 385, 768, 1151? 383*w + 2 What is the m'th term of -36, -67, -80, -69, -28, 49, 168, 335? m**3 + 3*m**2 - 47*m + 7 What is the x'th term of -70779, -70780, -70781? -x - 70778 What is the l'th term of 7, 25, 55, 97, 151, 217? 6*l**2 + 1 What is the j'th term of 9782, 19562, 29344, 39128? j**2 + 9777*j + 4 What is the n'th term of 19, 55, 91, 127? 36*n - 17 What is the u'th term of 1651, 1636, 1611, 1570, 1507, 1416, 1291, 1126? -u**3 + u**2 - 11*u + 1662 What is the f'th term of -24, -20, -6, 24, 76, 156, 270, 424? f**3 - f**2 - 24 What is the q'th term of -77, -345, -785, -1391, -2157, -3077, -4145? q**3 - 92*q**2 + q + 13 What is the t'th term of 26, 2, 4, 44, 134, 286, 512, 824? 2*t**3 + t**2 - 41*t + 64 What is the b'th term of 10737, 10738, 10739? b + 10736 What is the m'th term of -56, -65, -82, -107, -140? -4*m**2 + 3*m - 55 What is the l'th term of -73, -176, -279, -382, -485? -103*l + 30 What is the s'th term of 138, 130, 112, 78, 22? -s**3 + s**2 - 4*s + 142 What is the l'th term of -8, 38, 124, 250, 416, 622? 20*l**2 - 14*l - 14 What is the n'th term of 22, 28, 38, 52, 70, 92, 118? 2*n**2 + 20 What is the k'th term of 27, 48, 81, 132, 207? k**3 + 14*k + 12 What is the u'th term of 6, 30, 82, 174, 318, 526, 810? 2*u**3 + 2*u**2 + 4*u - 2 What is the q'th term of 20, 19, 6, -25, -80, -165, -286, -449? -q**3 + 6*q + 15 What is the z'th term of 208, 215, 222, 229, 236, 243? 7*z + 201 What is the i'th term of 4, 7, 12, 19? i**2 + 3 What is the c'th term of 1658, 3313, 4968? 1655*c + 3 What is the k'th term of -366, -389, -440, -531, -674, -881, -1164, -1535? -2*k**3 - 2*k**2 - 3*k - 359 What is the d'th term of -26, -20, -10, 4, 22? 2*d**2 - 28 What is the s'th term of 2292, 2296, 2300, 2304, 2308? 4*s + 2288 What is the f'th term of -9, -35, -79, -141, -221, -319? -9*f**2 + f - 1 What is the k'th term of -4755, -9511, -14265, -19017, -23767, -28515, -33261? k**2 - 4759*k + 3 What is the h'th term of 1701, 1735, 1797, 1893, 2029, 2211, 2445? h**3 + 8*h**2 + 3*h + 1689 What is the o'th term of -3, -20, -53, -108, -191? -o**3 - 2*o**2 - 4*o + 4 What is the g'th term of 17, 36, 67, 110, 165, 232, 311? 6*g**2 + g + 10 What is the j'th term of -86, -99, -134, -203, -318, -491? -2*j**3 + j**2 - 2*j - 83 What is the n'th term of -24749, -24746, -24741, -24734, -24725, -24714? n**2 - 24750 What is the v'th term of 27, 91, 205, 375, 607, 907, 1281? v**3 + 19*v**2 + 7 What is the j'th term of 60, 121, 182, 243, 304, 365? 61*j - 1 What is the p'th term of 64, 56, 48? -8*p + 72 What is the g'th term of -225, -227, -229, -231, -233, -235? -2*g - 223 What is the k'th term of -176, -350, -524, -698, -872, -1046? -174*k - 2 What is the m'th term of -26, -99, -220, -389, -606, -871, -1184? -24*m**2 - m - 1 What is the q'th term of 3, -31, -119, -285, -553? -4*q**3 - 3*q**2 + 3*q + 7 What is the q'th term of 25, 58, 79, 82, 61, 10, -77, -206? -q**3 + 40*q - 14 What is the k'th term of 28, 97, 204, 343, 508? -k**3 + 25*k**2 + k + 3 What is the x'th term of -13, -26, -41, -58, -77, -98? -x**2 - 10*x - 2 What is the p'th term of 80, 167, 264, 371, 488, 615? 5*p**2 + 72*p + 3 What is the b'th term of 9, 3, -9, -27, -51, -81? -3*b**2 + 3*b + 9 What is the t'th term of 55, 56, 57, 58, 59? t + 54 What is the o'th term of -4205, -4196, -4165, -4100, -3989, -3820, -3581, -3260? 2*o**3 - o**2 - 2*o - 4204 What is the c'th term of -56, -63, -70, -77, -84, -91? -7*c - 49 What is the n'th term of 5, 7, 29, 77, 157? n**3 + 4*n**2 - 17*n + 17 What is the c'th term of 0, 28, 112, 282, 568? 5*c**3 - 2*c**2 - c - 2 What is the o'th term of 407, 814, 1221, 1628, 2035, 2442? 407*o What is the i'th term of 375, 751, 1131, 1515? 2*i**2 + 370*i + 3 What is the g'th term of 12, 50, 102, 162, 224, 282, 330? -g**3 + 13*g**2 + 6*g - 6 What is the f'th term of 17, 36, 55, 74, 93, 112? 19*f - 2 What is the s'th term of -362, -723, -1084? -361*s - 1 What is the o'th term of -36, -85, -142, -207, -280? -4*o**2 - 37*o + 5 What is the n'th term of 27, 53, 79, 105? 26*n + 1 What is the j'th term of 29, 85, 175, 299? 17*j**2 + 5*j + 7 What is the r'th term of -155, -156, -145, -116, -63? r**3 - 8*r - 148 What is the q'th term of -50, -94, -138? -44*q - 6 What is the n'th term of -8, -29, -60, -107, -176, -273, -404? -n**3 + n**2 - 17*n + 9 What is the m'th term of 24, 85, 186, 327? 20*m**2 + m + 3 What is the r'th term of -403, -404, -405? -r - 402 What is the x'th term of -51432, -51430, -51428? 2*x - 51434 What is the k'th term of 4, 18, 46, 94, 168? k**3 + k**2 + 4*k - 2 What is the j'th term of 31, 69, 109, 151, 195, 241, 289? j**2 + 35*j - 5 What is the r'th term of 44, 46, 48, 50? 2*r + 42 What is the x'th term of 6, -5, -30, -75, -146, -249, -390, -575? -x**3 - x**2 - x + 9 What is the h'th term of 31, 47, 51, 43, 23, -9? -6*h**2 + 34*h + 3 What is the b'th term of 455, 470, 487, 506, 527, 550? b**2 + 12*b + 442 What is the o'th term of -1425, -1424, -1423, -1422, -1421, -1420? o - 1426 What is the u'th term of 37, 27, 29, 49, 93, 167, 277? u**3 - 17*u + 53 What is the n'th term of -6, 20, 94, 240, 482, 844, 1350, 2024? 4*n**3 - 2*n - 8 What is the v'th term of 3, 5, 7, 9, 11, 13? 2*v + 1 What is the w'th term of 6472, 6483, 6508, 6553, 6624? w**3 + w**2 + w + 6469 What is the h'th term of -27, -57, -99, -159, -243, -357, -507, -699? -h**3 - 23*h - 3 What is the o'th term of -177, -353, -515, -657, -773, -857, -903, -905? o**3 + o**2 - 186*o + 7 What is the l'th term of -158, -246, -334, -422, -510? -88*l - 70 What is the q'th term of -15, -23, -35, -51, -71, -95, -123? -2*q**2 - 2*q - 11 What is the y'th term of -30, -60, -94, -132, -174, -220? -2*y**2 - 24*y - 4 What is the l'th term of -21, -6, 13, 36, 63? 2*l**2 + 9*l - 32 What is the y'th term of 32, 24, 14, 2? -y**2 - 5*y + 38 What is the h'th term of 248, 488, 722, 950? -3*h**2 + 249*h + 2 What is the r'th term of -82, -296, -510, -724, -938? -214*r + 132 What is the h'th term of -322, -643, -962, -1279, -1594, -1907? h**2 - 324*h + 1 What is the m'th term of 609, 610, 611? m + 608 What is the v'th term of 744, 829, 928, 1047, 1192, 1369, 1584, 1843? v**3 + v**2 + 75*v + 667 What is the h'th term of 38, 94, 148, 200, 250, 298, 344? -h**2 + 59*h - 20 What is the m'th term of 17, 49, 115, 227, 397, 637, 959? 2*m**3 + 5*m**2 + 3*m + 7 What is the i'th term of -1071, -1069, -1067, -1065, -1063, -1061? 2*i - 1073 What is the b'th term of 24, 80, 174, 306? 19*b**2 - b + 6 What is the h'th term of -94, -89, -80, -67, -50, -29, -4? 2*h**2 - h - 95 What is the b'th term of 200, 194, 184, 170? -2*b**2 + 202 What is the t'th term of 45, 137, 289, 501, 773? 30*t**2 + 2*t + 13 What is the b'th term of -6043, -12085, -18125, -24163, -30199? b**2 - 6045*b + 1 What is the h'th term of 731, 1444, 2135, 2792, 3403, 3956, 4439, 4840? -2*h**3 + h**2 + 724*h + 8 What is the g'th term of -1266, -1272, -1278, -1284, -1290, -1296? -6*g - 1260 What is the y'th term of 396, 398, 400, 402, 404, 406? 2*y + 394 What is the q'th term of -106, -177, -236, -277, -294, -281, -232, -141? q**3 - 78*q - 29 What is the k'th term of 1044, 1048, 1054, 1062, 1072, 1084, 1098? k**2 + k + 1042 What is the y'th term of 244, 240, 232, 220? -2*y**2 + 2*y + 244 What is the v'th term of 37, 76, 127, 196, 289, 412, 571, 772? v**3 + 32*v + 4 What is the n'th term of 60, 74, 74, 54, 8, -70? -n**3 - n**2 + 24*n + 38 What is the h'th term of 141, 281, 421, 561, 701? 140*h + 1 What is the l'th term of -1852, -3703, -5554, -7405? -1851*l - 1 What is the k'th term of 160, 161, 162, 163, 164? k + 159 What is the i'th term of -208, -299, -390, -481, -572, -663? -91*i - 117 What is the i'th term of -676, -1350, -2024? -674*i - 2 What is the d'th term of 109, 178, 247? 69*d + 40 What is the g'th term of 1080, 2160, 3242, 4326, 5412, 6500, 7590? g**2 + 1077*g + 2 What is the c'th term of 15559, 15555, 15549, 15541? -c**2 - c + 15561 What is the l'th term of -7, -6, -19, -52, -111, -202? -l**3 - l**2 + 11*l - 16 What is the u'th term of -8, -10, -8, -2? 2*u**2 - 8*u - 2 What is the o'th term of 9, 34, 73, 126, 193, 274, 369? 7*o**2 + 4*o - 2 What is the i'th term of -5,
{ "pile_set_name": "DM Mathematics" }
0270? 0 Calculate -201420 divided by -2. 100710 Calculate 1 divided by 19203. 1/19203 -7 divided by -21782 7/21782 Calculate -779871 divided by -5531. 141 Calculate -2488680 divided by 62217. -40 73246 divided by 5 73246/5 Divide -57414 by 29. -57414/29 -45 divided by 26084 -45/26084 -15 divided by -171827 15/171827 -46424 divided by 7 -6632 Divide 936912 by -16. -58557 Divide 2006 by -154. -1003/77 Calculate -134156 divided by -6098. 22 What is 14 divided by -6502? -7/3251 What is -169345 divided by -55? 3079 What is -149 divided by -610? 149/610 Divide -9 by -139055. 9/139055 191394 divided by 42 4557 What is 0 divided by 1332? 0 What is -8 divided by -701? 8/701 What is -17340 divided by 5780? -3 Divide 158330 by -15833. -10 Divide -348968 by -2. 174484 What is 7 divided by -73252? -7/73252 Calculate 0 divided by -882165. 0 What is -154920 divided by 51640? -3 Divide -1065 by -60. 71/4 Divide -1689500 by 422375. -4 Divide 0 by 24098. 0 Divide -169746 by -84873. 2 What is 756600 divided by -126100? -6 -7512 divided by 2 -3756 Divide -3 by 957. -1/319 What is -3 divided by -347618? 3/347618 What is 204 divided by 995? 204/995 Calculate -2346975 divided by 3. -782325 Calculate 42 divided by 50148. 1/1194 Calculate -553705 divided by -4. 553705/4 -75343 divided by 1277 -59 Divide 3569419 by 12437. 287 -4 divided by 1678563 -4/1678563 Calculate -1392184 divided by -6892. 202 What is -535 divided by 97? -535/97 42681 divided by 19 42681/19 37486 divided by -3 -37486/3 Divide -3168 by -24. 132 Divide 994275 by -675. -1473 Calculate -54885 divided by 2. -54885/2 Calculate -4 divided by -1930649. 4/1930649 153065 divided by 23 6655 Calculate -19508 divided by -4877. 4 What is 281361 divided by 5? 281361/5 Divide 12250 by -151. -12250/151 What is -1 divided by -17164? 1/17164 Divide 32 by 213. 32/213 Divide 5720048 by 2. 2860024 Divide 127006 by 46. 2761 What is -24219 divided by 2691? -9 Calculate 574510 divided by 287255. 2 Divide 64066 by -2. -32033 Divide -2 by -140825. 2/140825 Divide 107238 by 35746. 3 Calculate -120128 divided by 2. -60064 What is -13 divided by 13273? -1/1021 Divide -17430 by 1245. -14 What is -1576 divided by 788? -2 What is -25857 divided by -3? 8619 What is 179719 divided by -1? -179719 What is -1344324 divided by -1344324? 1 Divide 27314 by 2. 13657 Divide 17818 by 17818. 1 Divide 40014 by -162. -247 Divide 74970 by 85. 882 What is -93537 divided by -19? 4923 Divide 12633 by 12633. 1 What is 16 divided by 19033? 16/19033 Calculate 12 divided by -5698. -6/2849 Divide -72128 by -6. 36064/3 Divide 163 by 163. 1 Divide 200 by -269. -200/269 -48500 divided by -500 97 Divide 307 by -93. -307/93 -4 divided by -140194 2/70097 Divide -7 by 476. -1/68 Divide -1 by 28143. -1/28143 -128 divided by -24 16/3 What is 4229378 divided by -2114689? -2 Calculate -147570 divided by -4919. 30 Divide 82 by 6671. 82/6671 Divide -7 by 369462. -7/369462 What is -29822 divided by 2294? -13 -2067804 divided by -4 516951 Divide -6362 by -273. 6362/273 What is -24 divided by 1979? -24/1979 What is 1002288 divided by 62643? 16 Divide -3 by -589. 3/589 Calculate -2805627 divided by 7729. -363 What is -19657 divided by 7? -19657/7 Divide 22668 by -5667. -4 What is -14518 divided by -14? 1037 Divide -1 by -19675. 1/19675 96 divided by -1260 -8/105 -100 divided by 189 -100/189 What is -189905 divided by 1? -189905 -88512 divided by -8 11064 Divide 22467 by 3. 7489 Divide 1455 by -30. -97/2 Divide 34629 by -2037. -17 What is 2820690 divided by 45? 62682 Calculate -2252124 divided by 1324. -1701 Calculate -3456820 divided by 5630. -614 -222756 divided by 4 -55689 Divide 15150 by -4. -7575/2 What is 6665 divided by 10? 1333/2 Calculate -9317568 divided by 4. -2329392 Divide -275046 by 137523. -2 Calculate 898335 divided by -19963. -45 11 divided by 377 11/377 Calculate 15 divided by -79. -15/79 Calculate 124470 divided by 5. 24894 Calculate -6660 divided by 3. -2220 Divide -34 by -1558. 17/779 Divide -953258 by -3. 953258/3 Calculate -28705 divided by -5. 5741 -1639681 divided by 7771 -211 Calculate 145650 divided by -29130. -5 Calculate 2271188 divided by -724. -3137 Calculate 113 divided by -558. -113/558 1 divided by -10510 -1/10510 18 divided by 6881 18/6881 What is 33 divided by -2389? -33/2389 45539 divided by -6 -45539/6 220818 divided by -1482 -149 -687 divided by -41 687/41 Calculate -90854 divided by 2. -45427 Calculate -118075 divided by -25. 4723 -1982336 divided by -544 3644 What is -311020 divided by 31102? -10 Calculate -15292026 divided by 6. -2548671 Calculate 85324 divided by -1. -85324 36252 divided by -18126 -2 Divide -31920 by -2. 15960 5 divided by 8926 5/8926 -1522848 divided by -1392 1094 Calculate -1491877 divided by -37. 40321 -816384 divided by -408192 2 Divide 1655 by 224. 1655/224 Calculate -2249223 divided by -749741. 3 Calculate -1 divided by -300289. 1/300289 What is -21515 divided by 5? -4303 373968 divided by -1764 -212 What is 365608 divided by -46? -7948 57156 divided by 3 19052 Divide 97612 by 4. 24403 -74 divided by -1766 37/883 Calculate -652545 divided by -3. 217515 -1335 divided by -2150 267/430 177645 divided by -13665 -13 -101762 divided by 4 -50881/2 What is -59620 divided by -29810? 2 Calculate -138312 divided by 15368. -9 Calculate -1285 divided by -186. 1285/186 Calculate 0 divided by -26580. 0 -93633 divided by 1357 -69 Calculate -7358 divided by -566. 13 -800558 divided by -72778 11 -166 divided by 680 -83/340 23331 divided by 3333 7 Divide 271 by -2818. -271/2818 Calculate 6 divided by 48552. 1/8092 Divide 26 by -60. -13/30 Divide -534611 by 53. -10087 Calculate -836 divided by 69. -836/69 Divide -42873 by 6. -14291/2 Calculate 852 divided by 128. 213/32 What is -1152 divided by 43? -1152/43 Calculate -1148526 divided by -21269. 54 Calculate -650292 divided by 1. -650292 0 divided by 41227 0 What is 25 divided by -13652? -25/13652 What is -152172 divided by 3? -50724 18 divided by -164560 -9/82280 Divide 201964 by -7. -28852 Divide 1 by 3826. 1/3826 What is 1916322 divided by -6? -319387 9643 divided by -9643 -1 What is 8930 divided by 5? 1786 -1808 divided by 22 -904/11 Divide -245304 by -5. 245304/5 4116 divided by 1 4116 Calculate 204656 divided by -6. -102328/3 What is 180 divided by 21? 60/7 What is 2235 divided by 64? 2235/64 Calculate 6846 divided by 163. 42 Divide 555 by -256. -555/256 Calculate -521490 divided by 5. -104298 Divide -1186460 by -237292. 5 What is 2 divided by -18984? -1/9492 What is -2028 divided by 268? -507/67 Calculate 66636 divided by -2. -33318 Calculate -796 divided by 58. -398/29 Calculate 405342 divided by 6. 67557 -323524 divided by 4 -80881 Divide 180070 by -2. -90035 Calculate 1659 divided by -151. -1659/151 -168075 divided by -6225 27 What is 3 divided by 64635? 1/21545 What is -41448 divided by 22? -1884 Divide -6488 by 3. -6488/3 Divide 17098 by -3. -17098/3 Calculate 189 divided by -128. -189/128 Divide 533307 by 3. 177769 Divide 1061 by -6. -1061/6 -761346 divided by -6 126891 Divide 175524 by 87762. 2 Calculate -150540 divided by -30108. 5 Calculate 185922 divided by -1878. -99 What is 489664 divided by -8744? -56 Divide 215997 by -71999. -3 What is -3 divided by -812? 3/812 What is -1 divided by 942841? -1/942841 What is 5462089 divided by 2? 5462089/2 12930 divided by -5 -2586 Calculate 9 divided by 3997. 9/3997 What is -1086000 divided by -125? 8688 Calculate 347241 divided by 5. 347241/5 Calculate -10385 divided by -1. 10385 What is 1 divided by 34208? 1/34208 Calculate -353 divided by 98. -353/98 Calculate 120726 divided by 5. 120726/5 101865 divided by -2 -101865/2 1334 divided by -4364 -667/2182 What is -412104 divided by -6? 68684 Divide -157025 by 31405. -5 Divide 4 by 6134. 2/3067 What is 296 divided by -2062? -148/1031 What is 5572 divided by 12? 1393/3 Divide 9073 by -115. -9073/115 -167935 divided by 1 -167935 69 divided by 5845 69/5845 What is 222315 divided by -5? -44463 What is 1103328 divided by 12? 91944 Calculate -119 divided by -5076. 119/5076 3 divided by -155822 -3/155822 Divide -5 by -316563. 5/316563 3341 divided by 9 3341/9 Divide 295 by -21. -295/21 Divide 22 by 20118. 11/10059 Divide -75 by -1. 75 What is 13634 divided by -170? -401/5 Ca
{ "pile_set_name": "DM Mathematics" }
) + 0 - sqrt(75)))**2 + (sqrt(75) - (-2 + -1 + sqrt(75)) - sqrt(75))**2 + 1*sqrt(75)*-1)*-3. -477 + 105*sqrt(3) Simplify (-1*(-3 + sqrt(468) + 1) + 0)*4. -24*sqrt(13) + 8 Simplify -3 + ((sqrt(3)*2 + -1 - sqrt(33)/(sqrt(99) - sqrt(11)))**2 - (3 + sqrt(27) + 2)). -6*sqrt(3) - 1/4 Simplify (6*(sqrt(209) + (sqrt(209) - ((1*sqrt(209) - sqrt(209))*1 - sqrt(209)))))/(sqrt(33)/(sqrt(48)*3)). 216*sqrt(19) Simplify -4*(-1*sqrt(490)*6)/(sqrt(16)/(6*(sqrt(40)/sqrt(5) + sqrt(8)))). 2016*sqrt(5) Simplify ((2*sqrt(44)/sqrt(4)*-2 + 1 + sqrt(11)*-1 + -3)*5)**2. 500*sqrt(11) + 6975 Simplify (-3*(sqrt(704) + 2*sqrt(704)) + -2 + 0 + -3)**2. 720*sqrt(11) + 57049 Simplify (5 + sqrt(80)*-1*-3 + -5*(-1 + sqrt(80))*-2)*-5. -260*sqrt(5) + 25 Simplify ((3*(2*(sqrt(210)/sqrt(6) - sqrt(35)) - sqrt(35)))/(sqrt(125) + 4*(sqrt(125) - -1*sqrt(125))))**2. 7/225 Simplify -5 + (sqrt(396) + sqrt(396)*-2*-3 + (sqrt(396) + 0 + sqrt(396))*4 + sqrt(396) + (-2*sqrt(396)*6 - (sqrt(396) + (sqrt(396) + sqrt(396) + 0)*1)))**2. 391 Simplify (1 + (sqrt(448)*2 + 2 - sqrt(448)) + 1*sqrt(448)*-5 + 3 + 3)**2. -576*sqrt(7) + 7249 Simplify ((sqrt(392) - -2*sqrt(392))/sqrt(8) - sqrt(196)/(-1*sqrt(4)))/(((sqrt(504)*-1)/sqrt(12))/sqrt(6)). -4*sqrt(7) Simplify (-2*(sqrt(117) - sqrt(117)*1))/sqrt(9) + ((4*sqrt(117)*-1)/sqrt(9))**2. 208 Simplify -6*(sqrt(192)*-1*2 + 3*(sqrt(3) + 2)**2*2). -252 - 48*sqrt(3) Simplify 5*(-2 + (1*-2*sqrt(136))/(sqrt(16)/sqrt(2)*-1)). -10 + 10*sqrt(17) Simplify 4*(2*sqrt(80))**2 - ((sqrt(720)*-1)**2 + 4). 556 Simplify -1 + (1*2*-6*(1*sqrt(1275))/sqrt(3))**2. 61199 Simplify ((sqrt(1584)*2 + -1)**2 - (1*(-3*2*sqrt(11) + sqrt(11)))**2)*-4. -24248 + 192*sqrt(11) Simplify -3*5*-4*-4*(sqrt(175) + 0 + sqrt(175))*5. -12000*sqrt(7) Simplify (((sqrt(108) + 4*sqrt(108))*1)/sqrt(6))/((6*sqrt(81)*2 + sqrt(81))/sqrt(9)). 5*sqrt(2)/13 Simplify 0 + (4*(sqrt(84) + sqrt(84) + sqrt(84)*2) + (sqrt(84) - (sqrt(84) - 3*sqrt(84)*-1)))/((sqrt(432) - (sqrt(432)*-2 + sqrt(432) - sqrt(432)))*5). 13*sqrt(7)/90 Simplify sqrt(75) + (sqrt(75) + -2*(sqrt(75) + -2 - sqrt(75)) + sqrt(75))**2 + (sqrt(75) - (sqrt(75) + 2 + 3)) + 5. 85*sqrt(3) + 316 Simplify ((1 + sqrt(108) + -5 - sqrt(108)) + 3*1*sqrt(108) + -2)**2. -216*sqrt(3) + 1008 Simplify -2 + ((sqrt(425)*-1 + sqrt(425))*5)**2 + 4*(sqrt(425)*2)**2. 6798 Simplify (5*6*(-2 + -4*sqrt(245) + sqrt(245))**2 + -3)*-5. -331335 - 12600*sqrt(5) Simplify (-1*sqrt(152) - sqrt(3800)*2)/(sqrt(90)/(sqrt(45) - sqrt(5) - sqrt(5))). -22*sqrt(19)/3 Simplify (sqrt(5)*-1 + -5 - (-3*sqrt(35))/sqrt(7))**2 + (-1 + (sqrt(5) - (-1 + sqrt(5))) + -2 + sqrt(5) + (sqrt(40)/sqrt(2))/sqrt(4))**2. -28*sqrt(5) + 69 Simplify -4 + (4*sqrt(684) + -1 - (3 + sqrt(684)*3))**2. -48*sqrt(19) + 696 Simplify (sqrt(180)/(1*sqrt(12)) + sqrt(165)/(1*sqrt(11) + sqrt(11)))/(sqrt(48)*1*-4). -3*sqrt(5)/32 Simplify -1*((sqrt(720) - (-3*sqrt(720))**2 - (sqrt(60)/(2*sqrt(12)) - sqrt(5))) + -5). -25*sqrt(5)/2 + 6485 Simplify (6*-3*(-5 + sqrt(931) + 3 + sqrt(931))*-3)**2. -163296*sqrt(19) + 10870848 Simplify (5 + -4*(0 + sqrt(272))*-6)**2. 960*sqrt(17) + 156697 Simplify (((sqrt(456)*-1)/sqrt(8) + (sqrt(513)*2 - sqrt(513))/sqrt(9))/(sqrt(9)/(sqrt(480)/sqrt(10))))**2. 0 Simplify ((4 + sqrt(99)*1*1)*-2)**2*-6*5. -13800 - 2880*sqrt(11) Simplify -2*(0 + -6*5*-1*sqrt(11))**2. -19800 Simplify (5 + (sqrt(1216) - 2*sqrt(1216)*3 - (5 + sqrt(1216)*3)))**2. 77824 Simplify -3*(-2*sqrt(2448) + sqrt(2448) + -1 - (sqrt(2448) + 0)*-6 - ((sqrt(2448) - 2*sqrt(2448))**2 + 0 - (-1*sqrt(2448) + 2)**2)). -36*sqrt(17) - 9 Simplify (((sqrt(147) + (sqrt(147) - (sqrt(147)*-2 + sqrt(147))))/sqrt(7))/(sqrt(3)*2*5))**2*4. 63/25 Simplify 3 + (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + sqrt(1573) + -1)) + -2 + -5*(sqrt(1573) + 1) + sqrt(1573) - ((sqrt(1573)*1 - sqrt(1573)) + 0 + -3))**2. 264*sqrt(13) + 25180 Simplify (sqrt(54)/(sqrt(144) + -2*sqrt(144)))/(sqrt(98)*1 - (sqrt(162) + sqrt(18) + sqrt(18))/sqrt(9)). -sqrt(3)/8 Simplify ((-3*2*sqrt(121) + -6*sqrt(121)*-1)/(1*sqrt(22)/sqrt(2)*1))**2. 0 Simplify (-2*sqrt(931) + -1)**2 + 6*(2 + sqrt(931))**2 + 5 + -1. 196*sqrt(19) + 9339 Simplify (sqrt(6) - -4*(sqrt(6) + 2*sqrt(6)))/sqrt(3) - (sqrt(16)/sqrt(2) + (1 + sqrt(32))**2). -33 + 3*sqrt(2) Simplify 3*(2 + sqrt(720) + -2 + (-2 + sqrt(720)*2)**2). -252*sqrt(5) + 8652 Simplify 4*(sqrt(684) + ((-2 + sqrt(684))**2 + sqrt(684) - sqrt(684)) + 4 - (sqrt(304) + -2 + 4 - sqrt(304))**2). -72*sqrt(19) + 2752 Simplify (sqrt(78)*-1*6 + sqrt(78))/(sqrt(54)/(sqrt(9) + sqrt(18)/sqrt(2) + sqrt(9))). -15*sqrt(13) Simplify (-3 + 1 + sqrt(1008))**2 - 2*-1*sqrt(1008) - ((sqrt(1008) + 0)*-5 + sqrt(1008) - (-5 + (sqrt(1008) - sqrt(1008)*-2)))**2. -48405 + 816*sqrt(7) Simplify 2*(-1*(1 + sqrt(1377)) + 5)*4. -72*sqrt(17) + 32 Simplify (((sqrt(1573) + 2)*-2 + (sqrt(1573) + sqrt(1573) + -1 + sqrt(1573) + 2 - sqrt(1573)))*5)**2. 225 Simplify 3 + -1 + sqrt(500) + (sqrt(20) + (sqrt(20) - (sqrt(20) + sqrt(80) + (sqrt(80) - 1*sqrt(80)) + sqrt(20))))/sqrt(4). 2 + 8*sqrt(5) Simplify 2*-3*(((1*(sqrt(1008) + -1 + sqrt(1008) - sqrt(1008)))**2 - ((-3 + 1*sqrt(1008))**2 + sqrt(1008))) + -5). -216*sqrt(7) + 78 Simplify (sqrt(102)/(3*sqrt(6)) - sqrt(17)) + 1 + sqrt(153)/(-2*sqrt(576)). -35*sqrt(17)/48 + 1 Simplify ((sqrt(180) + sqrt(180) + sqrt(180)*-3*-4)/(sqrt(144) + 2*sqrt(144) + sqrt(144)))**2. 245/16 Simplify ((sqrt(117) + sqrt(117)*3)*-1*4)/(sqrt(81)*1*-4). 4*sqrt(13)/3 Simplify ((-4*sqrt(143)*5)/(sqrt(44)/(sqrt(144) - sqrt(4))))**2. 130000 Simplify (3 + (sqrt(119)/(sqrt(35)/sqrt(5)*3) + (sqrt(1700) - sqrt(1700)*2) + -3)*-4)**2. 1160*sqrt(17) + 230777/9 Simplify -3*sqrt(243) + 4 - (2 + (-1 + sqrt(243))**2). -242 - 9*sqrt(3) Simplify (sqrt(637) - ((-3 + (2*sqrt(637) - sqrt(637)) - sqrt(637)) + sqrt(637)))**2*4 + ((sqrt(832)*-1 - sqrt(13)) + (sqrt(78) - -2*sqrt(78))/sqrt(6))*5. -30*sqrt(13) + 36 Simplify (((sqrt(104)*5 - sqrt(104))*4 + sqrt(104) - sqrt(104))/(sqrt(1152) + (sqrt(1152) - -3*sqrt(1152)) - sqrt(8)))**2. 3328/3481 Simplify (3*(4 + 2*sqrt(704) + sqrt(704)*-2*-6)*-5)**2 + -1. 201600*sqrt(11) + 31049999 Simplify ((3*sqrt(75))/sqrt(5))/sqrt(5) + sqrt(15)/(sqrt(320)*-6). 143*sqrt(3)/48 Simplify 2 + 3*-1*sqrt(75) + sqrt(75) - ((sqrt(75) - (sqrt(75) + 0 + sqrt(75))**2)*1 - (sqrt(75) + 2*sqrt(75)*4)**2). -15*sqrt(3) + 6377 Simplify -6*sqrt(110)/(sqrt(10) + (sqrt(110) + 2*sqrt(110) + sqrt(110))/sqrt(11))*6. -36*sqrt(11)/5 Simplify 5*((2*sqrt(325)*-1 + 4*(-1 + sqrt(325)))**2 + -3). -400*sqrt(13) + 6565 Simplify (-4*(sqrt(17) - (2 + sqrt(17))) + (sqrt(425)*-1 - sqrt(425)) - (sqrt(153)/(2*sqrt(9)) - (2*sqrt(153))/sqrt(9)))**2. -136*sqrt(17) + 5169/4 Simplify 4 + (-4 + (-1 + sqrt(5) - sqrt(5)) + -1)**2*-4. -140 Simplify sqrt(405)*2 + 5 - 4*(1 + sqrt(180) + sqrt(180)). -30*sqrt(5) + 1 Simplify (1*(sqrt(1053) + -2*sqrt(1053) + -1))**2 + (6*sqrt(52)/sqrt(2) + sqrt(26))/(sqrt(64)/sqrt(2)). 79*sqrt(13)/4 + 1054 Simplify ((-4 + -1 + sqrt(272) - (sqrt(272) - (sqrt(272) + 1 + sqrt(272) + -1))) + -3)**2 + -2. -128*sqrt(17) + 1150 Simplify (-2 + (2*sqrt(102)*-1)/(sqrt(24) + (sqrt(72)/sqrt(3) - sqrt(24))))*6. -6*sqrt(17) - 12 Simplify ((sqrt(57) + sqrt(2793)*-4)*4)/(1*sqrt(108) + sqrt(108)). -9*sqrt(19) Simplify (sqrt(528)/((sqrt(108)/sqrt(3))/sqrt(3)))/(sqrt(48)/((sqrt(72)*2)/sqrt(6))). 2*sqrt(11) Simplify (-2*sqrt(17) - sqrt(17))**2 + 0 - (sqrt(102)/(sqrt(6)*1) + sqrt(17)) - (sqrt(204)*3*-4 + sqrt(204) - sqrt(204))/sqrt(12). 10*sqrt(17) + 153 Simplify (4*2*-1*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + -1)) + -4))**2. -3456*sqrt(17) + 88704 Simplify -3*(-4 + 5*(sqrt(75)*2*5 + 1*sqrt(75)*-6)**2). -17988 Simplify (sqrt(76)*-2*-1)/(1*(sqrt(16) - sqrt(4))) - (3 + sqrt(304)*-1*-2). -6*sqrt(19) - 3 Simplify -2*(((sqrt(78)*1)/sqrt(6) - sqrt(13))**2 - sqrt(13) - ((-2*sqrt(130))/sqrt(10))**2). 2*sqrt(13) + 104 Simplify sqrt(114)/(sqrt(6) + 2*sqrt(726)) - -4*(sqrt(19) + sqrt(57)/sqrt(3) + 1). 4 + 185*sqrt(19)/23 Simplify ((sqrt(204) + (sqrt(204) - 2*sqrt(204)*1) + sqrt(204))/sqrt(12))**2 + (-5 + 1*sqrt(17) - sqrt(17) - (sqrt(153)*-1)**2). -141 Simplify (3*sqrt(66)*-4 - sqrt(66))/(sqrt(6) + sqrt(864)*-4). 13*sqrt(11)/47 Simplify (sqrt(152) + sqrt(152) + -1*sqrt(152)*2 + sqrt(152) + -6*sqrt(152)*1)/(sqrt(512) + sqrt(512) + (sqrt(512)*2 - sqrt(512)) - sqrt(32) - sqrt(32)). -sqrt(19)/4 Simplify (sqrt
{ "pile_set_name": "DM Mathematics" }
7145, 116191, 145237? 29046*v + 7 What is the a'th term of 361, 564, 767? 203*a + 158 What is the x'th term of -96550, -386196, -868940, -1544782, -2413722, -3475760? -96549*x**2 + x - 2 What is the z'th term of 6655117, 6655116, 6655115, 6655114, 6655113? -z + 6655118 What is the p'th term of -5218, -10436, -15654? -5218*p What is the u'th term of 145, 61, -99, -347, -695, -1155? -2*u**3 - 26*u**2 + 8*u + 165 What is the a'th term of 4350, 17413, 39186, 69669? 4355*a**2 - 2*a - 3 What is the f'th term of -190044, -380077, -570100, -760107, -950092? f**3 - f**2 - 190037*f - 7 What is the w'th term of 4624, 18496, 41616, 73984, 115600? 4624*w**2 What is the h'th term of 186, 536, 1118, 1926, 2954, 4196, 5646, 7298? -h**3 + 122*h**2 - 9*h + 74 What is the q'th term of 9893, 39586, 89087, 158408, 247561, 356558? 2*q**3 + 9892*q**2 + 3*q - 4 What is the o'th term of 663, 816, 965, 1104, 1227, 1328, 1401? -o**3 + 4*o**2 + 148*o + 512 What is the n'th term of 27913, 27911, 27909, 27907? -2*n + 27915 What is the v'th term of -2403, -2316, -2083, -1632, -891, 212? 12*v**3 + v**2 - 2416 What is the g'th term of 967569, 967570, 967571, 967572, 967573? g + 967568 What is the w'th term of -63, -358, -1069, -2376, -4459, -7498, -11673? -30*w**3 - 28*w**2 - w - 4 What is the r'th term of 261, 280, 281, 240, 133, -64? -4*r**3 + 15*r**2 + 2*r + 248 What is the l'th term of 1784, 3537, 5290, 7043? 1753*l + 31 What is the l'th term of 10728, 10248, 9448, 8328? -160*l**2 + 10888 What is the q'th term of -467846, -467845, -467844? q - 467847 What is the u'th term of -8993, -18029, -27065, -36101, -45137? -9036*u + 43 What is the w'th term of -1214, -2433, -3658, -4889? -3*w**2 - 1210*w - 1 What is the g'th term of 783, 1083, 1385, 1689, 1995, 2303? g**2 + 297*g + 485 What is the y'th term of 10, 61, 196, 457, 886, 1525? 7*y**3 + 2*y + 1 What is the g'th term of 2462, 17936, 43718, 79802, 126182, 182852? -g**3 + 5160*g**2 + g - 2698 What is the d'th term of -9980, -19940, -29914, -39908, -49928, -59980, -70070? -d**3 - d**2 - 9950*d - 28 What is the f'th term of 60169, 120337, 180503, 240667? -f**2 + 60171*f - 1 What is the y'th term of -6529, -26100, -58733, -104440, -163233, -235124, -320125? -2*y**3 - 6519*y**2 - 8 What is the c'th term of 15733, 15739, 15745, 15751, 15757? 6*c + 15727 What is the d'th term of 2367, 4738, 7109? 2371*d - 4 What is the n'th term of 2193, 4180, 5963, 7542, 8917, 10088? -102*n**2 + 2293*n + 2 What is the t'th term of -132, -232, -322, -396, -448, -472? t**3 - t**2 - 104*t - 28 What is the q'th term of -578, -2274, -5096, -9044, -14118, -20318? -563*q**2 - 7*q - 8 What is the f'th term of -1265, -1214, -1163? 51*f - 1316 What is the w'th term of 178, 214, 296, 442, 670, 998, 1444, 2026? 3*w**3 + 5*w**2 + 170 What is the g'th term of -5862, -23251, -52234, -92811, -144982? -5797*g**2 + 2*g - 67 What is the n'th term of -106164, -106168, -106172, -106176, -106180? -4*n - 106160 What is the y'th term of -694408, -694406, -694402, -694396, -694388, -694378? y**2 - y - 694408 What is the l'th term of 2598, 5195, 7790, 10383, 12974, 15563? -l**2 + 2600*l - 1 What is the n'th term of 60089, 120176, 180263, 240350? 60087*n + 2 What is the u'th term of 616, 2791, 6416, 11491, 18016? 725*u**2 - 109 What is the j'th term of 129900, 129917, 129934? 17*j + 129883 What is the c'th term of -454, -409, -334, -229? 15*c**2 - 469 What is the h'th term of -224553, -449107, -673661, -898215, -1122769? -224554*h + 1 What is the v'th term of -1217, -1263, -1317, -1379, -1449, -1527? -4*v**2 - 34*v - 1179 What is the t'th term of -1133, -2039, -2945, -3851, -4757, -5663? -906*t - 227 What is the y'th term of 1382, 2886, 4394, 5906, 7422, 8942, 10466? 2*y**2 + 1498*y - 118 What is the v'th term of 65, 73, 59, 11, -83, -235? -2*v**3 + v**2 + 19*v + 47 What is the m'th term of 25131, 100520, 226185, 402138, 628391, 904956, 1231845? 2*m**3 + 25126*m**2 - 3*m + 6 What is the c'th term of -517847, -1035695, -1553543, -2071391? -517848*c + 1 What is the n'th term of -190, -279, -378, -493, -630, -795, -994? -n**3 + n**2 - 85*n - 105 What is the n'th term of 16995, 33850, 50695, 67524, 84331, 101110, 117855? -n**3 + n**2 + 16859*n + 136 What is the a'th term of 3580, 7151, 10714, 14269, 17816? -4*a**2 + 3583*a + 1 What is the d'th term of 3247, 3178, 3061, 2896, 2683, 2422, 2113? -24*d**2 + 3*d + 3268 What is the y'th term of -2387, -2362, -2317, -2252, -2167, -2062, -1937? 10*y**2 - 5*y - 2392 What is the v'th term of -4354, -16966, -37990, -67432, -105298? -v**3 - 4200*v**2 - 5*v - 148 What is the w'th term of 85, 75, 65, 55? -10*w + 95 What is the r'th term of 1221, 1577, 1933, 2289, 2645? 356*r + 865 What is the d'th term of -24760, -49516, -74282, -99064, -123868, -148700, -173566, -198472? -d**3 + d**2 - 24752*d - 8 What is the o'th term of -48453, -48452, -48451, -48450? o - 48454 What is the i'th term of -19293, -38586, -57879, -77172, -96465, -115758? -19293*i What is the v'th term of -10060, -10051, -10042? 9*v - 10069 What is the c'th term of -127, 334, 795, 1256, 1717, 2178? 461*c - 588 What is the o'th term of -3815, -7593, -11371, -15149, -18927? -3778*o - 37 What is the k'th term of 1599, 3203, 4805, 6405, 8003? -k**2 + 1607*k - 7 What is the t'th term of -53, -226, -401, -578, -757? -t**2 - 170*t + 118 What is the v'th term of 1167, 2446, 3727, 5010, 6295, 7582? v**2 + 1276*v - 110 What is the y'th term of -2818, -2480, -2142, -1804, -1466? 338*y - 3156 What is the a'th term of 31601, 63199, 94797, 126395, 157993? 31598*a + 3 What is the n'th term of 247, 639, 1163, 1885, 2871, 4187, 5899, 8073? 11*n**3 + 315*n - 79 What is the x'th term of -282, -148, 76, 390, 794, 1288? 45*x**2 - x - 326 What is the a'th term of 1680, 6065, 13154, 22947, 35444, 50645? 1352*a**2 + 329*a - 1 What is the r'th term of -1398, -1878, -2678, -3798, -5238, -6998, -9078? -160*r**2 - 1238 What is the f'th term of 1199, 2378, 3555, 4730? -f**2 + 1182*f + 18 What is the l'th term of -5, -40, -83, -134? -4*l**2 - 23*l + 22 What is the r'th term of 868, 881, 898, 919, 944, 973, 1006? 2*r**2 + 7*r + 859 What is the j'th term of 167, 174, 181, 188, 195, 202? 7*j + 160 What is the y'th term of 438, 1559, 3428, 6045, 9410, 13523? 374*y**2 - y + 65 What is the v'th term of 28, 57, 90, 121, 144, 153, 142? -v**3 + 8*v**2 + 12*v + 9 What is the z'th term of -15098, -15096, -15092, -15086, -15078? z**2 - z - 15098 What is the o'th term of -24769, -24765, -24759, -24751, -24741? o**2 + o - 24771 What is the u'th term of 3759, 15027, 33807, 60099? 3756*u**2 + 3 What is the c'th term of 719, 635, 537, 419, 275? -c**3 - c**2 - 74*c + 795 What is the f'th term of 98932, 98934, 98936, 98938? 2*f + 98930 What is the z'th term of -86045, -172291, -258551, -344831, -431137, -517475, -603851? -z**3 - z**2 - 86236*z + 193 What is the f'th term of -9930, -9916, -9876, -9798, -9670? 2*f**3 + f**2 - 3*f - 9930 What is the g'th term of -647, -621, -597, -575, -555, -537? -g**2 + 29*g - 675 What is the r'th term of -10498, -21001, -31504, -42007, -52510, -63013? -10503*r + 5 What is the q'th term of -1677, -6538, -14583, -25812, -40225, -57822, -78603? -1592*q**2 - 85*q What is the a'th term of 7306, 7309, 7314, 7321, 7330? a**2 + 7305 What is the z'th term of -537, -999, -1297, -1347, -1065? 14*z**3 - 2*z**2 - 554*z + 5 What is the k'th term of 7210, 14501, 21792, 29083? 7291*k - 81 What is the s'th term of 206, 282, 362, 446? 2*s**2 + 70*s + 134 What is the x'th term of 446, 398, 350, 302, 254? -48*x + 494 What is the s'th term of 232, 611, 1236, 2107, 3224? 123*s**2 + 10*s + 99 What is the f'th term of -37, 58, 219, 446, 739? 33*f**2 - 4*f - 66 What is the n'th term of -787, -816, -843, -868, -891, -912? n**2 - 32*n - 756 What is the b'th term of 11980, 47966, 107946, 191920, 299888, 431850, 587806? 11997*b**2 - 5*b - 12 What is the k'th term of 230, 404, 538, 632, 686, 700? -20*k**2 + 234*k + 16 What is the n'th term of -136077, -136078, -136079? -n - 136076 What is the m'th term of 25795, 25984, 26293, 26716, 27247? -m**3 + 66*m**2 - 2*m + 25732 What is the q'th term of -398, -1716, -3950, -7100, -11166, -16148? -458*q**2 + 56*q + 4 What is the g'th term of -5483, -21933, -49349, -87731, -1
{ "pile_set_name": "DM Mathematics" }
or j. -83 Solve 84284 = -763*j - 479*j - 976*j for j. -38 Solve 10600*p + 8464*p + 329*p - 1919907 = 0 for p. 99 Solve -708*o = -12066 - 2802 for o. 21 Solve -1198*n - 1012*n + 31449 + 24693 = 909*n for n. 18 Solve -223*o + 19*o = 48*o + 21*o + 9009 for o. -33 Solve 2135 - 121 = -59*t - 800 - 77 for t. -49 Solve 19*c - 80*c - 57*c - 2572 = 1440 for c. -34 Solve -39*t + 1490 = 8*t - 0*t - 1706 for t. 68 Solve 452005*w = 449063*w - 179462 for w. -61 Solve -7477*y + 13506 = 300364 + 27176 for y. -42 Solve 166*c - 783 = -272*c - 11776 - 5213 for c. -37 Solve 0 = -36*y + 306*y - 27*y - 2382 - 10254 for y. 52 Solve -473075*j + 473033*j = -630 for j. 15 Solve -1917*f - 1111 + 49437 + 42528 = 23759 for f. 35 Solve 37618*j - 42622*j = -55044 for j. 11 Solve 36*p = -45*p + 7*p - 41*p + 2875 for p. 25 Solve 2112*x - 9202 + 34004 + 27156 = -2954 for x. -26 Solve 1404 = 33*h - 7*h + 26*h for h. 27 Solve -1445*q = 960*q - 28860 for q. 12 Solve 1266*i - 1164*i - 4351 - 797 - 564 = 0 for i. 56 Solve 3297*i + 4802*i + 206374 = 340999 + 302721 for i. 54 Solve -2904*i + 8687 + 53844 = 97131 + 87368 for i. -42 Solve -37111*d - 623 = -37022*d for d. -7 Solve -218*t - 3780 = -722*t - 252*t for t. 5 Solve 443973 = 96*g + 439941 for g. 42 Solve -1667*c - 430*c - 714*c = -70993 - 7715 for c. 28 Solve 278*o + 49*o - 14350 = -7725 + 19862 for o. 81 Solve -10097*v = 4873 + 1560 + 3664 for v. -1 Solve -48713 = 110*w - 45523 for w. -29 Solve 207*o = 1037*o + 23*o + 61416 for o. -72 Solve -4207*h + 418320 = 6*h + 1189*h + 1238*h for h. 63 Solve -6016*a + 110*a + 1533674 = 12572*a for a. 83 Solve 0 = -442*n + 12873 - 1381 for n. 26 Solve 4392*t + 1269 = 777*t - 9576 for t. -3 Solve -5337*i - 5979*i - 780*i = -2399*i + 310304 for i. -32 Solve -18*t - 8311 = 8377 - 16616 for t. -4 Solve -372*b - 17077 + 684 = 5183 for b. -58 Solve 0*z - 11*z + 3 = -448 for z. 41 Solve -43528 = 2962*k - 183635 + 64345 - 264868 for k. 115 Solve 1487*s = 72811 - 38610 for s. 23 Solve -166*u + 375 = -53*u + 50*u + 49 for u. 2 Solve 110*n - 196*n - 940*n - 71820 = 0 for n. -70 Solve 0 = 580*h - 630*h - 138 + 738 for h. 12 Solve 596 - 57 + 679 = -57*o - 207 for o. -25 Solve -32*g - 176*g = 27*g - 7520 for g. 32 Solve -m + 3504 = -178*m - 261*m for m. -8 Solve -2808*n - 567*n = 1618*n + 249650 for n. -50 Solve -521*b = -458*b + 1386 for b. -22 Solve -233*u + 3276 = -506*u for u. -12 Solve -4230*w - 10930*w - 136280 = -190547 + 827427 for w. -51 Solve -834*t = -706*t + 836 + 1724 for t. -20 Solve 764*o + 442*o + 19360 + 49040 = 294*o for o. -75 Solve -76*t - 1858 - 2100 = 602 for t. -60 Solve 139*g - 5420 = -21*g - 159*g + 48*g for g. 20 Solve 84*r - 17*r - 31*r + 23130 = -221*r for r. -90 Solve 992*r - 3726 + 23400 + 3076 = -1058 for r. -24 Solve 3920*l + 3815 = 3811*l for l. -35 Solve 200*a - 56*a - 5225 = 89*a for a. 95 Solve -6321*p - 332420 = 299802 + 596271 - 261380 for p. -153 Solve -230*p - 2626 + 1742 = 2613 + 2943 for p. -28 Solve 141*f + 89*f + 153*f + 8463 = 110*f for f. -31 Solve 5185*k + 78520 + 299985 = 0 for k. -73 Solve 7402*s + 4416 = 7306*s for s. -46 Solve -263*s = 377*s + 440*s + 423*s - 105210 for s. 70 Solve -32*a + 149 - 158 - 247 = 0 for a. -8 Solve 214656 + 30484 = 3502*t for t. 70 Solve 1081*y = -193*y - 298*y - 33012 for y. -21 Solve -135*a + 43226 - 377599 = -3892*a for a. 89 Solve 0 = 11473*g - 7318*g + 324090 for g. -78 Solve -1016*j + 709*j - 2325 = -11158 - 7438 for j. 53 Solve -3109*a + 43465 + 61416 = -30746 - 29150 for a. 53 Solve 7289*q + 510444 = -445*q for q. -66 Solve 5256*s - 129098 = 1459*s for s. 34 Solve -21*q - 1474*q - 3214*q - 273122 = 0 for q. -58 Solve 21636 + 8137 = -1567*z for z. -19 Solve -111*y - 250*y + 1806 = 67*y - 3330 for y. 12 Solve 844*w + 93*w = -1204*w - 181985 for w. -85 Solve 3673*s - 33679 = -265078 for s. -63 Solve -7601*p = -5024*p + 6709*p + 325010 for p. -35 Solve -105*z + 1538 = 24*z + 4242 + 2843 for z. -43 Solve 16157*t + 2265457 - 865764 = -959229 for t. -146 Solve 8381 + 10673 = -215*a + 2775 + 2089 for a. -66 Solve 23977 = -2090*z + 196015 + 51592 for z. 107 Solve 0 = 1275*r + 1049*r + 178*r - 202662 for r. 81 Solve 4064*b = -7362*b + 3732*b + 692460 for b. 90 Solve -725*p + 292*p = 223*p + 16400 for p. -25 Solve -2420 = 1502*f + 34853 + 30317 for f. -45 Solve -417*j - 291*j = -31860 for j. 45 Solve -390*b + 6825*b - 250965 = 0 for b. 39 Solve -22878 = 2276*r + 43126 for r. -29 Solve 480*c - 170*c = -274*c + 20440 for c. 35 Solve 6789 - 56489 = 497*d for d. -100 Solve -426*m - 128*m = -3*m - 20938 for m. 38 Solve 2290*x + 65*x - 56232 = 30903 for x. 37 Solve -9 - 16 = 297*c - 283*c + 17 for c. -3 Solve 23483*y = 23416*y + 4154 for y. 62 Solve 15286*i + 10320 = -15389*i + 30555*i for i. -86 Solve -77*k + 182*k - 2084 = 74*k + 954 for k. 98 Solve 540762 = -4033*b - 121500 + 154104 for b. -126 Solve 608*k - 122*k + 273*k = 23*k - 31648 for k. -43 Solve 47798*j - 47626*j = -15652 for j. -91 Solve 82*g + 137700 = -98*g - 409*g - 761*g for g. -102 Solve -368 - 138 = 21*y - 191 for y. -15 Solve -4*v + 285 = -24*v + 165 for v. -6 Solve 212*h + 1421 + 4560 - 469 = 0 for h. -26 Solve 1610*o + 2431*o = -2244*o - 87990 for o. -14 Solve -142170 = -173*u + 1093*u - 4305*u for u. 42 Solve -5450 - 4912 = -225*z - 1137 for z. 41 Solve 2159*i - 397*i = 33478 for i. 19 Solve -539*z - 2315 - 3589 = 10266 for z. -30 Solve -7053 = 175*k + 360*k - 32198 for k. 47 Solve -26*q = 13*q + 5*q + 8*q + 3016 for q. -58 Solve 185*z - 31105 = -33325 for z. -12 Solve 118718*f + 150620 = 116946*f for f. -85 Solve 105*q - 56*q - 373 - 587 = 29*q for q. 48 Solve 13*a - 13*a = 8*a + 151 - 503 for a. 44 Solve 0 = 70*m - 186 + 603 + 423 for m. -12 Solve 0 = 174*q + 415 - 2748 - 2017 for q. 25 Solve -122*p = -1048109 + 1034079 for p. 115 Solve 0 = 709*j + 3379 + 15055 for j. -26 Solve 126*y + 34*y + 184*y - 50964 = -67*y for y. 124 Solve -23720 - 13945 + 11582 = 2180*a + 74197 for a. -46 Solve 76 = 368680*d - 368684*d for d. -19 Solve 2767*h - 1381*h + 92 = 1409*h for h. 4 Solve 3520*l + 36350 - 10463 = -354273 for l. -108 Solve 526*z + 55*z + 8388 = -511*z + 160*z for z. -9 Solve 49265 - 28994 = -699*d for d. -29 Solve 445*z - 3353 = 130*z + 6727 for z. 32 Solve 79*z + 3150 = 302*z - 95*z - 93*z for z. 90 Solve -561*z + 1269*z = 58056 for z. 82 Solve 32*z - 56*z - 47*z - 23 = 1539 for z. -22 Solve -23142 = 1036*b + 19334 for b. -41 Solve -351*c - 23962 + 10863 - 16736 = 0 for c. -85 Solve -29445 + 89349 = 936*w for w. 64 Solve 12*l - 13*l = -8*l + 52 + 60 for l. 16 Solve -1634*u + 4080 - 17152 = 0 for u. -8 Solve 0 = -868*h - 390*h - 50320 for h. -40 Solve 217*k - 117*k - 15390 = 231*k + 679*k for k. -19 Solve 1259*f - 64*f - 52580 = 0 for f. 44 Solve 18*k - 65*k - 6*k - 2052 = 23*k for k. -27 Solve 129*y + 935 + 738 = 286*y - 525 for y. 14 Solve -339*c - 12006 = -961*c - 3298 for c. 14 Solve 0 = -18*w + 466*w - 86*w + 375*w - 33902 for w. 46 Solve 670*y + 1005*y + 33464 + 33122 = -27214 for y. -56 Solve 0 = 70*w - 166*w - 104*w + 6420 - 1620 for w. 24 Solve 0 = -4537*c + 4504*c + 285 - 1011 for c. -22 Solve 377*c + 534*c - 76266 = -10*c + 252*c for c. 114 Solve 0 = -3658*t - 97473 - 245537 + 97924 for t. -67 Solve 6827 + 4606 = -309*c for c. -37 Solve 4197 = -304*j - 795*j - 46357 for j. -46 Solve 4606*l + 23817 - 253429 = 205054 - 38550 for l. 86 Solve -7067*j = -6155*j - 136513 + 44401 for j. 101 Solve 40*g + 57*g - 35*g - 1798 = 0 for g. 29 Solve -482*u + 501*u + 241 = -956 for u. -63 Solve -62*v - 1732 = -844 + 5064 for v. -96 Solve 14604*m + 14604*m - 1122 = 29191*m for m. 66 Solve -87*u = -3*u + 64*u + 444 for u. -3 Solve 0 = -3029*g - 30467 - 72519 for g. -34 Solve 818*v + 3086 = -31270 for v. -42 Solve -222*l = 857*l + 932*l + 33799 + 247741 for l. -140 Solve -58684 = -344*l - 74508 for l. -46 Solve -65*g - 331*g - 832*g = 38068 for g. -31 Solve 889*b = 11398 + 11852 + 26534 for b. 56 Solve 335*v - 1103*v - 1232*v + 151424 = 704*v for v. 56 Solve 56*h - 183*h = -43*h + 4032 for h. -48 Solve -168683 = 8741*s - 579510 for s. 47 Solve 332701 = 21*c + 332680 for c. 1 Solve -364*v = 365*v - 1048*v + 347*v + 1260 for v. -45 Solve 181*o - 76579 = -75493 for o. 6 Solve 351*c + 84*c - 23 + 199 = 2351 for c. 5 Solve 49174 = 5138*f - 23464 + 5844 for f. 13 Solve 8
{ "pile_set_name": "DM Mathematics" }
+ 5 = -5*d, 3*l = 5*d - 19. Let m(z) = -1 + z - 5 - d*z**2 + 2*z**2 + z**2. Calculate m(0). -6 Let j(x) = 2*x**2 - 5*x - 14. Let d(b) = -b**2 + 2*b + 7. Let y(k) = -5*d(k) - 2*j(k). Determine y(0). -7 Let f(d) = 3*d**2 - d - 1. Let w(q) = -7*q**2 + 2*q + 1. Let l(o) = -5*f(o) - 2*w(o). What is l(0)? 3 Let g(c) = c**2 + 2*c - 7. Suppose 0 = -2*p - 3 - 7. Calculate g(p). 8 Let h = -3 - -5. Let w(g) = g**3 + 0*g - g**h + 1 + g + 0*g. Let r(m) = m**3 + 7*m**2 - 8*m. Let q be r(-8). Determine w(q). 1 Let k(r) = -1 - 4*r + 0*r + 5*r. Let c(i) = i - 1. Let x(j) = -2*c(j) + 4*k(j). What is x(-2)? -6 Let p be (7/(-4))/(2/8). Let n = 13 - 16. Let b = n - p. Let h(c) = c**3 - 4*c**2 - c - 1. Give h(b). -5 Suppose 5*y = 2*z + 3*y - 14, -4*z = 3*y. Let i(r) = 7*r - 5 + 2*r**2 - z - r**3 + 3. Suppose 2*a + 24 = 5*g, 0 = 2*a + 4. Calculate i(g). -9 Let x = -6 - -10. Let o(u) = u**3 - 7*u**2 + 5*u + 8. Let g be o(6). Let h(r) = 4*r - 2 - 6*r - g*r + 5*r. Give h(x). 2 Let m(v) = -v**3 - 6*v**2 - 2*v - 5. Let y be (-5)/(5/(-6)) - -3. Suppose -p - 1 = 0, 2*b + 0*p + y = 3*p. Calculate m(b). 7 Let g(x) = -x**2 - 4*x + 4. Let s be g(-4). Suppose -s*o - d = 3, 0*o = -5*o - d - 4. Let t(w) be the second derivative of -w**4/3 + w**2/2 + 8*w. What is t(o)? -3 Let a = -29 + 30. Let i(r) = -10*r**2 + 2*r - 1. Give i(a). -9 Let m(i) = -88*i**3 + 90*i**3 + 3*i + 8*i**2 - 4*i**2. Give m(-2). -6 Let c(p) = -p + 3. Let s be c(-3). Let u(v) = 2 - s*v + 3*v - v**3 + 3*v**2 + v. What is u(3)? -4 Let y(l) be the first derivative of -3*l**2/2 + 19. Suppose -5*v = -5 - 0. Give y(v). -3 Let n(y) = y - 1. Let r(a) = a - 5. Let v = 3 + 5. Let b be r(v). Suppose -b*u = 3 + 6. What is n(u)? -4 Let d(s) be the second derivative of -s - 1/2*s**2 - 1/6*s**3 + 0. Give d(0). -1 Let p(h) = -h + 15. Let q be p(13). Let t(o) = 8*o - 2. What is t(q)? 14 Suppose -4 = -4*i, 4*i - 3 = 4*l + 1. Suppose q + q + 6 = l. Let u(k) be the second derivative of k**4/12 + 2*k**3/3 + k**2 + 3*k. Calculate u(q). -1 Let y(r) be the third derivative of -r**6/720 + r**5/12 - r**4/6 + 4*r**2. Let a(u) be the second derivative of y(u). Suppose 0 = -2*o - 3*o + 25. What is a(o)? 5 Let c = -60 - -241/4. Let s(i) be the first derivative of -2*i**2 + i + c*i**4 - 1 - 2/3*i**3. Give s(3). -2 Let l(i) = i - 6. Let m be ((-14)/4)/(-1)*2. Determine l(m). 1 Let x be -3*(-1)/3 + 0. Let w(v) = -v - 1. Determine w(x). -2 Let p(k) = 13 + 2*k**2 - 27*k + 14*k + 16*k. Let y(g) = g**2 + g + 6. Let q(h) = 4*p(h) - 9*y(h). What is q(3)? -2 Let q be 4/14 + (-90)/21. Let u = 9 + q. Let l(v) = v - 1. Calculate l(u). 4 Let a(d) = d**2 - 5*d - 6. Let i be a(5). Let g(n) = -n**3 - 7*n**2 - 7*n - 2. Give g(i). 4 Suppose 4*k - k = 6. Let n(r) = 4*r - 2*r**2 - 3 + 3*r**2 - 3*r**k. Suppose -3*o - 20 = -5*q - 5*o, -4*o + 12 = -4*q. Give n(q). -3 Let d(r) be the third derivative of r**9/60480 + r**8/20160 + r**7/5040 + r**6/180 + r**5/10 + 7*r**2. Let s(h) be the third derivative of d(h). What is s(0)? 4 Let u(y) = -1. Let j(z) = -z - 3. Suppose -7*m = -3*m + 12. Let t(n) = m*j(n) + 8*u(n). Determine t(1). 4 Let m(t) = -t**2 + 2*t. Let r = -26 + 29. Give m(r). -3 Let p(q) = 15*q**2 - 16*q + 10. Let a(c) = -7*c**2 + 8*c - 5. Let z(i) = -13*a(i) - 6*p(i). Calculate z(6). -7 Let b(f) = -f + 2. Let x be b(0). Suppose -x*z = -5 + 1. Let r(h) = h - 8*h + 2*h**2 - 4 - 3*h**z. What is r(-5)? 6 Let y(q) = -20*q + 3*q**3 + 26*q - 5*q**2 - 2*q**3 - 2. What is y(4)? 6 Let d(j) = -j**2 - j - 1. Let l be 8/(-4) - (-5 + 0). Let y = l + -1. Determine d(y). -7 Let b(j) be the first derivative of 2 + 1/2*j**2 + 3*j. Suppose 4*s + 2*a + 6 = -20, 5*a = 2*s - 17. Calculate b(s). -1 Let g(h) = -h**3 + 2*h**2 + 5*h - 4. Let t be g(3). Suppose 11 = 2*v - 5*z + t*z, -4*v - 4*z = 28. Let y(f) = -f + 2. What is y(v)? 4 Let i be 7 - 2/(-2 + 3). Let v(z) be the second derivative of z**5/20 - 5*z**4/12 + z**3/6 + 7*z**2/2 + z. Determine v(i). 12 Let y(j) be the third derivative of -j**6/120 + j**5/15 - 2*j**3/3 + 2*j**2 - 11. Give y(3). 5 Let t(m) = -m**3 - 4*m**2 + 4*m - 3. Let s be t(-5). Let h(b) = 26*b - 24*b + 1 + 2*b**2 + s. Give h(-2). 7 Let g(h) = 874*h - 872*h + 0 - 3. What is g(2)? 1 Let g be -7*1 - (7 - 7). Let v(z) = -z**2 - 7*z - 7. What is v(g)? -7 Let m(d) = -d - 6. Let v be -3 - 1/(3/(-6)). Let l be 0 - v - (2 - 1). Determine m(l). -6 Suppose 0 = -3*c - 5*o - 12 + 3, -3*c + o = -9. Let x(b) = -3 + 3*b - 13*b**2 + 4*b - 4*b + 12*b**2. Give x(c). -1 Let p(u) = u**3 - 2 + 11 + 2*u + 5*u**2 - 4. Give p(-5). -5 Let q(r) = -4*r**2 - 6*r + 3. Let g(v) = 11*v**2 + 17*v - 9. Let z(u) = -3*g(u) - 8*q(u). Give z(-3). 3 Let v be (-106)/22 + 10/(-55). Let b = v - -6. Let w(o) = -4*o**3 - o + o - o. Calculate w(b). -5 Let o = 78 - 78. Let w(l) = l**2 - l. Determine w(o). 0 Let g(f) = f**3 + 4*f**2 - 2. Suppose -5*n + 8*n + 3*h = 6, 3*n = -4*h + 7. Let y = -5 + n. Calculate g(y). -2 Let w be 36/28 + 2/(-7). Let j = w + 1. Let c(o) = 0 + j + 2 + 1 + o. Calculate c(-6). -1 Let w(x) = -5*x**2 - 11*x - 2. Let l(k) = 3*k**2 + 6*k + 1. Let c(n) = 7*l(n) + 4*w(n). Determine c(3). 2 Let g(v) = -v**2 - 6 - 6*v**2 + 7*v + v**3 + v**2. Let x(j) = -j**2 - 4*j + 1. Let d be x(-5). Let k be (-10)/(-40) - 19/d. Determine g(k). 4 Let a be 26/(-7) - 2/7. Let c be ((-2)/a)/((-3)/(-18)). Let v(g) = -3*g**3 + 2*g**3 - 3*g**2 - g - c - g. Give v(-3). 3 Let z(y) be the first derivative of y**2/2 + 5*y + 9. Let x be z(-5). Let m(n) = n**2 - n - 1. What is m(x)? -1 Let g = -18 + 21. Suppose 0 = g*d - 4 - 11. Let h(o) = -2*o + 2. What is h(d)? -8 Let s(i) = 17*i + 2*i**2 - 19*i - i**3 + 5*i**2 + 9. Let w be 14/(2 - (-1 - -1)). Let a be s(w). Let m(v) = v**2 + 4*v + 2. Give m(a). 7 Suppose d - 4*r = -0*r - 9, -2*d - 3*r + 15 = 0. Let h(m) = 2*m + 11. Let a(i) = 3*i + 16. Let c(s) = 5*a(s) - 7*h(s). What is c(d)? 6 Let y be 3/(-2)*(-4 - -2). Let v(q) = -q**3 + 3*q**3 - q**y + 0*q - q. Determine v(-1). 0 Let s(t) be the second derivative of t**5/20 + t**4/12 - 31*t. Suppose 0 = r + 4*r. Calculate s(r). 0 Let l be 4 + 0 + 160/(-16). Let u(o) = -o + 1. What is u(l)? 7 Let r(j) = -j**2 + 9*j + 14. Let o be r(10). Let s(d) = o*d - d**2 + d + d - 1 + 0. Give s(6). -1 Let m(t) be the third derivative of t**8/20160 - t**7/5040 - t**6/180 - t**5/60 + 2*t**2. Let i(h) be the third derivative of m(h). Give i(4). 8 Let q(l) = -l**3 + 4*l**2 + 4*l - 6. Suppose 0*j + j + 3 = 3*c, -4*c - 3 = j. Suppose 0 = -c*o + o - 4. Calculate q(o). 10 Let z be (-351)/45 - (-2)/(-10). Let t be 20/z*2 + 1. Let w(r) = -r**2 - 4*r - 2. Give w(t). -2 Let d(o) be the third derivative of o**5/60 + o**4/3 - o**3/2 + 5*o**2. Give d(-9). 6 Let y(b) = -b**3 - 3*b**2 + 6*b + 5. Let m be y(-4). Let n(s) be the third derivative of 2/3*s**3 + 0*s + 6*s**2 + 0 + 1/12*s**4. Give n(m). -2 Let z(q) = -7*q - 1. Let u(d) = 5*d**3 - 2*d**2 + 2*d - 1. Let w be u(1). Suppose 10 = 2*j - 10. Suppose -f - 23 = -w*i - j, -3*i = -f - 10. Determine z(f). 6 Let g(d) = d**3 - 6*d**2 - d. Suppose 0*p = 5*f + 3*p + 42, -f - 4*p - 22 = 0. Let w = f + 6. Suppose -18 = -3*k - 3, w = o + 5*k - 31. Determine g(o). -6 Let u(a) be the first derivative of a**3/6 + 3*a**2 - 2*a - 4. Let z(p) be the first derivative of u(p). What is z(-7)? -1 Suppose t + x + 5 = 4, -5*x = 4*t + 9. Let b(o) = o - 1. Let i(v) = 3*v - 1. Let y(j) = t*b(j) - 2*i(j). What is y(-5)? 8 Suppose -4*d + 2*d - 10 = 0. Let r = d - -5. Let w(z) = z**2 - z + 3. Determine w(r). 3 Suppose -2*c - 2 = 10. Let i(p) = -p**2 - 6*p - 7. Determine i(c). -7 Let k(u) = u**3 - u**2 - u + 3. Let w be (0/(-2))/(1 - 3). Calculate k(w). 3 Let k(p) = -p**3 - 3*p**2 - 2*p + 1. Suppose 0 = -2*m + 2*a - 4, -6 = 5*m + 4*a - 32. Let h be 4 - (m + -2 + 2). Suppose h*w = 4*w + 4. What is k(w)? 1 Let k = 3 - -1. Suppose 4*l - f = k, 0 = l - 2*f - f + 10. Let x(t) = -l*t - 3 + 3*t - 3*t - 1. Determine x(-5). 6 Let t(f) = f**3 - 6*f**2 + 6*f - 2. Let q be t(5). Let p be (-4)/(-2) + (q - 0). Suppose -p*b + 15 = -0*b. Let d(w) = -w**2 + 5*w - 1. What is d(b)? 5 Suppose 0 = -3*m + 1 + 8. Suppose m*w - 9 = -3*p, 5*p + 4*w + 0 = 16. Suppose -c = -10 + p. Let k(y) = -y**3 + 5*y**2 + 7*y - 4. What is k(c)? 2 Let h(y) = -y**3 + 3*y**2 + 7*y - 6. Let w be h(4). Let n(v) be the first derivative of 1/3*v**3 + 3 + 7*v - 7/2*v**2. Wh
{ "pile_set_name": "DM Mathematics" }
x = -3*y. Round y to the nearest 10. 150 Let p = -113 - -116. Suppose 110285 = 2*y - 5*v, -p*y + 64305 = 3*v - 101175. Let q = y + -36255. Round q to the nearest one thousand. 19000 Let n = -66 - -66.000010789. What is n rounded to six decimal places? 0.000011 Let d = 5153564451 + -5153564287.00000133. Let i = d + -164. What is i rounded to six dps? -0.000001 Let o = -680.2999987785 + 680.3. What is o rounded to seven dps? 0.0000012 Let n = -3519.012635 - -3519. What is n rounded to two dps? -0.01 Let a = -5.8339 + 0.0439. Let l = 1.7 + a. Let u = l - 0.16. Round u to 1 decimal place. -4.3 Let d = -862116 + 1651116. Suppose 3*u + 0*u - d = 0. Round u to the nearest 100000. 300000 Let c = 219 + -206. Suppose c*n = 8*n + 115000. What is n rounded to the nearest 10000? 20000 Let v = -460 - -459.6. Let s = v - 0.505. Round s to two decimal places. -0.91 Let a be 2 + 1 - -14 - 3. Suppose a*h = 11*h. Suppose h = 9*l - 101765848 + 362765848. Round l to the nearest 1000000. -29000000 Let x = -3137 + 3109.52. What is x rounded to the nearest 10? -30 Let x = -0.6849769 - -0.67872. Round x to five decimal places. -0.00626 Let h = -0.09045427 - 59281133.90954573. Let t = 59280501.00289 + h. Let a = -633 - t. What is a rounded to three dps? -0.003 Let w = -59 + 65. Suppose 2*m = -w*m + 49280. Round m to the nearest 100. 6200 Let x = -1931 + 1930.992759. Round x to 3 decimal places. -0.007 Let w = 211 + -364. Let c = w - -152.999998716. Round c to six decimal places. -0.000001 Let i = -1834 + 1834.00005858. Round i to 6 dps. 0.000059 Let y = -132903.029 + 132839. Let t = -3498 - -3433.7. Let i = t - y. What is i rounded to 2 dps? -0.27 Let a = -5.737 - -4.81. Let v = a - -0.025. What is v rounded to one dp? -0.9 Let z = 1404 - 1404.000003464. Round z to seven dps. -0.0000035 Let l(a) = 12*a + 6*a - 34*a + 302*a**3 + 0*a**2 - a**2. Let m be l(6). Round m to the nearest 10000. 70000 Let i be (-5 - 42/(-12)) + (-85)/2. Suppose o - 49 = j + 100, 4*o + 3*j - 575 = 0. Let c = i + o. What is c rounded to the nearest ten? 100 Let o = 1.1353 + -1.1353042596. What is o rounded to seven dps? -0.0000043 Suppose -27*j = -29*j - 0 + 2. Let d(b) = -23*b**3 - 20*b**3 - b - 15*b**3. Let s be d(j). Round s to the nearest ten. -60 Let q(m) = 154*m + 95. Suppose -8*d - 28 = 20. Let f be q(d). What is f rounded to the nearest one hundred? -800 Let f = -7.45568 + 6.8145. Round f to one decimal place. -0.6 Let j = 23071 - 555071. What is j rounded to the nearest 1000000? -1000000 Let w(i) = -1014*i + 46. Let n be w(-3). Suppose 3*m = 5*j - 1438 - 878, -j = 4*m + n. Round m to the nearest ten. -770 Let q = -1.372 - 0.028. Let x = q - -0.82785. Let u = 0.57 + x. What is u rounded to 3 decimal places? -0.002 Let u = -2883139221 + 3075163052.7. Let s = u - 192024735.700513. Let c = s - -904. What is c rounded to 4 decimal places? -0.0005 Let m = 880.62 + -884. Let s = m - -3.379996. What is s rounded to 5 decimal places? 0 Let r = 6878.984292 - 6879. Round r to 3 decimal places. -0.016 Let w = 21813.49814958 + -21813.5. Round w to four decimal places. -0.0019 Let m(t) be the second derivative of 232408*t**3/3 - 17*t**2/2 + 29*t. Let d be m(-3). Let k = 9105535 - d. Round k to the nearest one million. 11000000 Let v = -4509.8 + 2943. What is v rounded to the nearest ten? -1570 Let k = -10439 - -23007. Suppose 0 = 4*a - 5*d + k, 9457 = -3*a - 6*d + 2*d. Round a to the nearest 100. -3100 Let l = 95.353 - 98.96. What is l rounded to one dp? -3.6 Let v = 0.009111 - -289.120889. Round v to the nearest 100. 300 Let p = -188 + 173. Let c be 5424*(-25)/5*p/(-6). Round c to the nearest 10000. -70000 Let s = 20482.00010609 - 20482. Round s to 5 dps. 0.00011 Let z = -904.79 + 904.863218. Let i = 1.14 + -1.067. Let w = i - z. Round w to 4 decimal places. -0.0002 Let y = -330 + 329.781. Let m = -0.21901036 - y. What is m rounded to 6 dps? -0.00001 Let r(g) be the third derivative of 10375*g**4/12 - 36*g**2. Let b be r(4). What is b rounded to the nearest one hundred thousand? 100000 Let h be (-1*10)/(12 + 23361/(-1947)). What is h rounded to the nearest 1000? -6000 Let g = -77 - -167. Let n = -57 + g. Let y = n - 33.0195. What is y rounded to three decimal places? -0.02 Let p = 2.79 + -2.677. Let i = 103.113 - p. Let u = -103.0174 + i. Round u to two decimal places. -0.02 Let s = 378.909 + -361.3801. What is s rounded to 1 decimal place? 17.5 Let n = -2251.2474 + 2251. Let w = n + 0.282. What is w rounded to 3 decimal places? 0.035 Let h = 2900.7423 + -1.1423. Round h to the nearest 100. 2900 Let g = -1136 + 1720. Let h = g + -237.5. Round h to the nearest one hundred. 300 Let p = 8290.5463 + -8291. Let j = p + 12.5207. Let v = j + -0.167. Round v to 0 decimal places. 12 Let g = 4692 + -4691.9991564. What is g rounded to 5 dps? 0.00084 Let c = -16168894314 + 16168893560.0000343. Let p = -754 - c. What is p rounded to five dps? -0.00003 Let v = -187.241444 + 187.32. Round v to three decimal places. 0.079 Let l = -0.00140179 + 0.002041. Round l to six decimal places. 0.000639 Let b = -28855485 - -60961485. What is b rounded to the nearest one million? 32000000 Let n be (-31 - 1)/((-1)/280). Let g = -261 - -261. Suppose g*j = 7*j - n. Round j to the nearest 100. 1300 Let s = -9506494 - -9506494.10538442. Let o = -0.1054 + s. Round o to 6 decimal places. -0.000016 Let y = 133 + -338. Let d = y - -205.037. What is d rounded to 3 decimal places? 0.037 Let w = 0.6097 + -0.60970024853. What is w rounded to 7 decimal places? -0.0000002 Let a be 3 - (-35)/2*(4992/(-5))/(-16). Round a to the nearest 100. 1100 Let y = 612 + -340. Let l = 221.3 - y. Round l to the nearest 10. -50 Let d = 6941 - 4110. Let o = d - 2831.00002322. Round o to 6 decimal places. -0.000023 Suppose -9*u = 2*u - 33. Suppose -u = i - 0*r - r, -i = -3*r - 1. Let l be (-50)/(i/250 + 0). Round l to the nearest 1000. 3000 Let p = -0.0831 + 0.04422. What is p rounded to three decimal places? -0.039 Let s = 201.976009 + -201.93. Round s to 2 dps. 0.05 Let z = 51.41 - 0.41. Let v = 107 + z. Let s = v - 171.6. Round s to 0 dps. -14 Let x = -6785 - -6785.011031. What is x rounded to 3 dps? 0.011 Let b = -3740.0006301 + 3740. What is b rounded to four decimal places? -0.0006 Let r = -3253095.0518638 - -3252766.852. Let m = r - -0.0568638. Let a = m + 328. Round a to 2 decimal places. -0.14 Let y = -2.958 - -1.26632. What is y rounded to one decimal place? -1.7 Let z = -37.25 - -37.29695. Round z to two dps. 0.05 Let t = -27 - -30. Suppose t*u + 21 = -15. Let s be 2/(-4) - (-126)/u. Round s to the nearest 10. -10 Let r = 887.168930382 + -20.168969482. Let x = -885.242 - -18.242. Let y = r + x. What is y rounded to six decimal places? -0.000039 Suppose 6*y + 648 - 726 = 0. Suppose 0 = y*u - 12*u - 2290. Round u to the nearest 1000. 2000 Let g = 3521850 - 1048248. Suppose -i + 637601 = 4*a + g, -4*a + 5*i - 1835995 = 0. What is a rounded to the nearest 10000? -460000 Let r = 0.7532 - 0.753194643. What is r rounded to six dps? 0.000005 Suppose -8607868 = -149*h - 6315795 + 11532445. Round h to the nearest 10000. 90000 Let h be 126/(-30)*(-80)/12. Suppose -16*g + 1204800 = -h*g. What is g rounded to the nearest one thousand? -100000 Let d = -785.5 + 574.3. Round d to the nearest 1000. 0 Let s = 6815 - 6810.843. Round s to 1 decimal place. 4.2 Let s = 23468 + -23467.70531. Round s to two dps. 0.29 Let i = 673 + -380. Let r = 5493 + -5775.65. Let x = r + i. What is x rounded to 0 decimal places? 10 Let f = 199 - 279. Let t = -110 - f. Let s = t + 29.99999872. What is s rounded to seven decimal places? -0.0000013 Let i be (13500/(-14))/((-105232)/(-10528) - 10). What is i rounded to the nearest one hundred thousand? 200000 Let g = 4041 - 3432. Let k = -69464 - -70081.18. Let r = g - k. Round r to the nearest integer. -8 Let q = 2547.8714 + -2551.6713858. Let g = -3.8 - q. What is g rounded to 5 decimal places? -0.00001 Let z = -874 - -2625. Let i = -1750.99998643 + z. Round i to 6 decimal places. 0.000014 Let p = 2.44 + 0.16. Let f = -20.7393 - -18.139295. Let i = p + f. What is i rounded to five dps? -0.00001 Let k = 130397.03277 - 130398. Round k to one decimal place. -1 Let i = 21 - 20.852. Let j = 3.538 - i. What is j rounded to 1 decimal place?
{ "pile_set_name": "DM Mathematics" }
is 33198 to the power of 1/3, to the nearest integer? 32 What is 5580 to the power of 1/3, to the nearest integer? 18 What is the eighth root of 20047 to the nearest integer? 3 What is the third root of 2193 to the nearest integer? 13 What is 90880 to the power of 1/3, to the nearest integer? 45 What is the square root of 49265 to the nearest integer? 222 What is the square root of 324 to the nearest integer? 18 What is 26110 to the power of 1/7, to the nearest integer? 4 What is 2787 to the power of 1/9, to the nearest integer? 2 What is the cube root of 645 to the nearest integer? 9 What is the fifth root of 7456 to the nearest integer? 6 What is 8251 to the power of 1/2, to the nearest integer? 91 What is the tenth root of 4806 to the nearest integer? 2 What is 997 to the power of 1/2, to the nearest integer? 32 What is 22803 to the power of 1/3, to the nearest integer? 28 What is 4971 to the power of 1/2, to the nearest integer? 71 What is the sixth root of 49545 to the nearest integer? 6 What is the third root of 33398 to the nearest integer? 32 What is the sixth root of 10061 to the nearest integer? 5 What is the square root of 2480 to the nearest integer? 50 What is the tenth root of 3993 to the nearest integer? 2 What is 11399 to the power of 1/5, to the nearest integer? 6 What is the cube root of 86617 to the nearest integer? 44 What is 16370 to the power of 1/2, to the nearest integer? 128 What is the seventh root of 5988 to the nearest integer? 3 What is the square root of 9905 to the nearest integer? 100 What is the square root of 21663 to the nearest integer? 147 What is the third root of 1662 to the nearest integer? 12 What is the seventh root of 37550 to the nearest integer? 5 What is the square root of 3872 to the nearest integer? 62 What is the seventh root of 38018 to the nearest integer? 5 What is the ninth root of 4873 to the nearest integer? 3 What is the cube root of 20059 to the nearest integer? 27 What is the third root of 713 to the nearest integer? 9 What is 1105 to the power of 1/3, to the nearest integer? 10 What is 1562 to the power of 1/7, to the nearest integer? 3 What is the fourth root of 572 to the nearest integer? 5 What is 597 to the power of 1/5, to the nearest integer? 4 What is 2338 to the power of 1/3, to the nearest integer? 13 What is 48010 to the power of 1/4, to the nearest integer? 15 What is 64311 to the power of 1/8, to the nearest integer? 4 What is 13232 to the power of 1/9, to the nearest integer? 3 What is the ninth root of 10429 to the nearest integer? 3 What is the square root of 8329 to the nearest integer? 91 What is 1245 to the power of 1/2, to the nearest integer? 35 What is 4438 to the power of 1/2, to the nearest integer? 67 What is the square root of 25227 to the nearest integer? 159 What is 2945 to the power of 1/3, to the nearest integer? 14 What is the square root of 2390 to the nearest integer? 49 What is the ninth root of 5287 to the nearest integer? 3 What is 69461 to the power of 1/3, to the nearest integer? 41 What is the cube root of 4443 to the nearest integer? 16 What is 17429 to the power of 1/10, to the nearest integer? 3 What is the third root of 12928 to the nearest integer? 23 What is 1273 to the power of 1/5, to the nearest integer? 4 What is 2172 to the power of 1/5, to the nearest integer? 5 What is 26236 to the power of 1/3, to the nearest integer? 30 What is 2201 to the power of 1/3, to the nearest integer? 13 What is the square root of 933 to the nearest integer? 31 What is the eighth root of 6167 to the nearest integer? 3 What is 14174 to the power of 1/2, to the nearest integer? 119 What is 2792 to the power of 1/10, to the nearest integer? 2 What is the fifth root of 111551 to the nearest integer? 10 What is the square root of 254 to the nearest integer? 16 What is the square root of 25512 to the nearest integer? 160 What is 4851 to the power of 1/9, to the nearest integer? 3 What is the square root of 59560 to the nearest integer? 244 What is 882 to the power of 1/2, to the nearest integer? 30 What is 1336 to the power of 1/10, to the nearest integer? 2 What is the third root of 37421 to the nearest integer? 33 What is the fourth root of 518 to the nearest integer? 5 What is 23676 to the power of 1/2, to the nearest integer? 154 What is 1129 to the power of 1/2, to the nearest integer? 34 What is the sixth root of 3703 to the nearest integer? 4 What is the cube root of 66063 to the nearest integer? 40 What is 1835 to the power of 1/2, to the nearest integer? 43 What is the eighth root of 27455 to the nearest integer? 4 What is 5025 to the power of 1/3, to the nearest integer? 17 What is 5954 to the power of 1/2, to the nearest integer? 77 What is 55041 to the power of 1/2, to the nearest integer? 235 What is 88787 to the power of 1/2, to the nearest integer? 298 What is 1760 to the power of 1/2, to the nearest integer? 42 What is 1587 to the power of 1/2, to the nearest integer? 40 What is 91 to the power of 1/2, to the nearest integer? 10 What is the tenth root of 854 to the nearest integer? 2 What is the square root of 12993 to the nearest integer? 114 What is 45570 to the power of 1/2, to the nearest integer? 213 What is the square root of 5435 to the nearest integer? 74 What is 49121 to the power of 1/9, to the nearest integer? 3 What is the fifth root of 1149 to the nearest integer? 4 What is the seventh root of 1552 to the nearest integer? 3 What is 3263 to the power of 1/3, to the nearest integer? 15 What is 7946 to the power of 1/10, to the nearest integer? 2 What is 1104 to the power of 1/2, to the nearest integer? 33 What is 666 to the power of 1/4, to the nearest integer? 5 What is 9165 to the power of 1/8, to the nearest integer? 3 What is 8594 to the power of 1/2, to the nearest integer? 93 What is 8335 to the power of 1/3, to the nearest integer? 20 What is the square root of 22746 to the nearest integer? 151 What is the fourth root of 1184 to the nearest integer? 6 What is the tenth root of 56265 to the nearest integer? 3 What is 14083 to the power of 1/5, to the nearest integer? 7 What is 27163 to the power of 1/7, to the nearest integer? 4 What is 27383 to the power of 1/6, to the nearest integer? 5 What is 4793 to the power of 1/9, to the nearest integer? 3 What is 37790 to the power of 1/2, to the nearest integer? 194 What is the third root of 8010 to the nearest integer? 20 What is the square root of 5245 to the nearest integer? 72 What is the fourth root of 316 to the nearest integer? 4 What is 5753 to the power of 1/3, to the nearest integer? 18 What is the cube root of 281 to the nearest integer? 7 What is 1139 to the power of 1/7, to the nearest integer? 3 What is 742 to the power of 1/4, to the nearest integer? 5 What is the sixth root of 1107 to the nearest integer? 3 What is the square root of 50441 to the nearest integer? 225 What is 1924 to the power of 1/2, to the nearest integer? 44 What is the square root of 23594 to the nearest integer? 154 What is 2049 to the power of 1/8, to the nearest integer? 3 What is the third root of 16463 to the nearest integer? 25 What is 1847 to the power of 1/9, to the nearest integer? 2 What is the third root of 38624 to the nearest integer? 34 What is the square root of 759 to the nearest integer? 28 What is 7382 to the power of 1/3, to the nearest integer? 19 What is 3165 to the power of 1/9, to the nearest integer? 2 What is the third root of 37884 to the nearest integer? 34 What is 6966 to the power of 1/2, to the nearest integer? 83 What is the square root of 2041 to the nearest integer? 45 What is the cube root of 2458 to the nearest integer? 13 What is the third root of 183 to the nearest integer? 6 What is 1551 to the power of 1/2, to the nearest integer? 39 What is the ninth root of 4753 to the nearest integer? 3 What is 20648 to the power of 1/2, to the nearest integer? 144 What is the tenth root of 5692 to the nearest integer? 2 What is 1748 to the power of 1/2, to the nearest integer? 42 What is 3635 to the power of 1/4, to the nearest integer? 8 What is the square root of 2316 to the nearest integer? 48 What is the third root of 681 to the nearest integer? 9 What is the square ro
{ "pile_set_name": "DM Mathematics" }
-11/4 - y. Let m(i) = i**3 + 5*i**2 - 2*i - 5. Let l be m(-5). Which is the second smallest value? (a) -0.3 (b) l (c) z c Let a = -0.19 - -0.2. Let h = -23 - -22.49. Let i = a + h. What is the second smallest value in 5, i, -4? i Suppose -1 = 4*o + 7. Suppose -4*d = k - 4 - 29, 0 = 3*d - 5*k - 19. Let c be 12/d + (-11)/4. What is the third smallest value in c, o, -1? -1 Let m = 0.3 - 0.31. Let g = m - 3.99. Which is the third biggest value? (a) g (b) 0.1 (c) -0.4 a Let g = 5/12 + -13/12. Which is the fourth smallest value? (a) -0.3 (b) 3/4 (c) 0.4 (d) g b Let l be (-22)/102 + 1/(-15)*-5. Which is the second smallest value? (a) -1 (b) l (c) 1/4 b Let f = -16.03 + 16. Let k = f + -0.27. Which is the second smallest value? (a) 2 (b) 0.3 (c) k b Let g = 0 - -2. Let h = g - 3. Let l = h + 1.4. What is the second smallest value in 1/3, l, -0.5? 1/3 Suppose 23 = 4*g - 3*f - 2, 4*g - 28 = 4*f. Let z = g + -9/2. What is the biggest value in 5, z, 2/3? 5 Let x = -5 + 5.3. Let t = x - 0.2. Which is the third biggest value? (a) -0.5 (b) 3 (c) t a Suppose 0 = -m - 3*i - 2, -4*i - 8 = 5*m + 2. Let p = 0.35 + -3.75. Let h = p - -3. What is the third biggest value in 3, m, h? m Let q = 24 + -26.6. Let z = q - -3. Which is the second smallest value? (a) -1 (b) 0.3 (c) z b Let y = 3 + -2.6. Let h = -4 - -32. Let i be (-11)/(-14) - 8/h. Which is the third smallest value? (a) i (b) -2/15 (c) y a Let g = -7.6 + 7.8. What is the second biggest value in 2, g, 1, -4? 1 Let q(s) = -8*s**3 + 2*s**2 - 1. Let u be q(1). Let p = 3 + u. What is the smallest value in 1, p, -5? -5 Suppose 5 = 5*n - 2*s, -n - 2*n - 5*s = -34. Suppose -x - 16 = n*x. Let b = 23/5 - 156/35. What is the third biggest value in 0.3, x, b? x Let f = 4 - 1. Suppose -4*m + 16 = 4*z, -4*m + 2 = -6*m + 3*z. Which is the second biggest value? (a) m (b) -0.5 (c) f a Let a(w) = 2*w + 3. Let y be a(-2). Suppose -5*b + 12 = -b + 3*z, 20 = 4*b + z. Suppose 0 = o - 2 + b. What is the second smallest value in o, -3, y? -3 Let k be (-2 - -4)/(1*5). Let b = -0.3 - 1.5. Let d = b - 0.2. What is the smallest value in k, d, 0.5? d Let v = 134 + -52. Let i = v + -88.8. Let d = i + 7. Which is the biggest value? (a) 0.4 (b) 2 (c) d b Let g = 414 + -3730/9. Which is the biggest value? (a) g (b) 2 (c) -3 b Let d = 0.21 + -0.11. What is the third biggest value in d, 2, 1? d Suppose 14 = 5*l - 0*i + 2*i, -4*l - 2*i + 10 = 0. Suppose -2*p = -l*p + 4. Suppose 5*z + 0 = 5. What is the second biggest value in p, 3, z? p Let n(p) = -p**2 + 8*p + 2. Let y be n(8). Which is the biggest value? (a) 2/15 (b) -1/7 (c) y c Let i = 10 - 9.8. Let h = 2.97 - -0.03. Let m = -3.4 + h. Which is the third smallest value? (a) -0.2 (b) m (c) i c Let g = -10 + 7. Which is the second smallest value? (a) -1/7 (b) g (c) 3 a Let i = -13.8 - -14. What is the second smallest value in -2/5, -5, 4, i? -2/5 Let v = 2.07 + -0.07. Let k = 2 + v. Let t = 2 - 1. Which is the smallest value? (a) t (b) k (c) 0.5 c Let k be 3/(-15) + 76/(-20). What is the second biggest value in -5, 0.2, k? k Let a = -8 + 8. What is the fourth smallest value in -0.4, -0.05, a, 1/10? 1/10 Let r = 30 + -29. What is the third smallest value in r, 0.2, -3, 2? r Let a = -0.015 - -0.025. What is the fourth biggest value in 1/5, -2, -3, a? -3 Let k = -20.6 - -21. Let d = -3 - -2.5. What is the third biggest value in 0, d, k? d Let u be (2 + (-2 - -1))*(-4)/(-1). Which is the fourth biggest value? (a) 5 (b) u (c) -3 (d) -1/4 c Let k = 1.8 - 2. Let p be ((-8)/(-30))/((-10)/(-15)). Which is the biggest value? (a) p (b) k (c) 5 c Let b(c) = c - 3. Let x be b(8). Suppose 2 + 3 = -x*n. What is the smallest value in 0, n, 0.4? n Suppose 0*f - 45 = 5*f. Let b be -1*(f/5 - -2). What is the third smallest value in -2/3, b, -2/15? -2/15 Let h = -92 - -91. What is the fourth biggest value in h, -2, 0.2, 5? -2 Suppose 2*w = 8, -3 = 4*m + 3*w + 1. Which is the third smallest value? (a) 1/3 (b) 0.5 (c) m b Let t = 199 + -1389/7. Let s = -12.4 + 12. What is the smallest value in 1/5, s, t? s Let o = 2 - 5. Let m = -41 - -34.8. Let i = m - -6. Which is the third smallest value? (a) o (b) i (c) -0.5 b Let p = 0.1 + -0.1. Suppose -3*j + 2 = 2*y + 12, 5*j + 24 = 4*y. Let k be (j/(-50))/(1/5). Which is the second biggest value? (a) -2/7 (b) k (c) p c Let u = 20.55 + -3.65. Let m = u - 18. Let r = m + 0.8. Which is the biggest value? (a) r (b) 2/15 (c) -1/5 b Let c = 3.02 - 1.02. What is the second smallest value in -1/12, 0, 5, c? 0 Let m = 19.25 + -19. Let l = 0.25 + m. What is the smallest value in -4, 0.4, l? -4 Let p be 3 - ((-103)/(-4) + 0). Suppose -110 = 2*f + 3*f + 5*k, 0 = -k + 1. Let y = f - p. What is the second biggest value in 3, 2/19, y? 2/19 Let w = 985/2 - 503. Let q = -45/4 - w. Which is the second smallest value? (a) 1/3 (b) q (c) -5 b Let v be 20/12 - 1/3. Which is the third smallest value? (a) -0.2 (b) -3/2 (c) v c Let j = -0.099 + 0.299. Which is the second smallest value? (a) j (b) -2.5 (c) -2 c Let k(u) = u**2 + 2*u - 3. Let y be k(1). Which is the fourth biggest value? (a) -5 (b) -4/9 (c) y (d) 5 a Suppose 0*h - 4*n = -h - 14, h + 17 = 5*n. Let t = 135624/55 + -2466. Let y = t + 152/385. What is the third biggest value in 2/9, h, y? h Let s = -1 - 0.3. Let n = -3.7 + s. Let c be ((-3)/22)/((-12)/(-16)). What is the third biggest value in -5/4, c, n? n Let k = 14 - 11. Suppose -k*x - 11 = 1. What is the third biggest value in 0.5, 0.3, x? x Let q = 0.3 + -1.3. Which is the second smallest value? (a) -3/5 (b) q (c) -4 (d) 3 b Let u = -8.6 + 8. Let l = u - -0.1. Let k = -2.5 + l. Which is the second biggest value? (a) 3/4 (b) k (c) 1/11 c Let m = 62 + -65. What is the third biggest value in 6, 0.4, m, -1/13? -1/13 Let z(t) = 2*t**2 - 4*t**2 + 3*t**2 - 7 - 4*t. Let y be z(6). Let a be y*(-1)/30*-4. What is the second biggest value in 4, -4, a? a Let o be 10*((-3)/3)/2. Let d = -1 + 1.02. Let q = 0.28 + d. Which is the third smallest value? (a) o (b) -4 (c) q c Let n = -0.8 + 4.8. Let g = -161 - -164. Which is the third biggest value? (a) g (b) n (c) 0.3 c Let d = 1 + 4. Let g = -0.34 + 0.24. What is the third smallest value in g, d, -0.3? d Let t = -1.7 + 0.6. Let q = t - -1. What is the biggest value in q, -0.4, 1/5? 1/5 Let v be (-2)/(-3) + -1 + 0. Let q = 3853991/11 - 350608. Let r = q + 245. What is the smallest value in r, v, 4? v Suppose 6*x - 5*i + 20 = x, 3*x = 4*i - 12. Which is the third smallest value? (a) x (b) 0.5 (c) 5 c Let b = 0 - 0.2. Let f = b - -1.2. Let d(x) = x**2 - 7*x + 8. Let u be d(6). What is the second biggest value in 3/5, f, u? f Let x = -3 + 2.5. Suppose 0 = -16*h + 19*h - 15. Suppose 5*w - 5*u + 18 + 22 = 0, 15 = h*u. What is the third biggest value in -4, x, w? w Let i = -0.4 + 0.4. Let q = i + -0.4. Which is the second smallest value? (a) -0.1 (b) q (c) 2 a Let m = 0.21 + -0.21. Which is the smallest value? (a) -6 (b) 0.5 (c) m (d) 2 a Let a = -18 - -14. What is the second smallest value in 2/7, a, -3? -3 Let i be (2 - 0)/(0 + -2). Let q = -2 - -7. Let m = -1.3 - -0.9. What is the third biggest value in m, i, q? i Let n = -19.5 - -19. Let p = 0 - 2. Which is the second smallest value? (a) p (b) -0.3 (c) n c Let u = -1.88 - 0.12. Which is the second smallest value? (a) 0.5 (b) 5 (c) u a Let x = 7 - 13. Let r be x/3 + (-14)/(-6). What is the smallest value in -1, 2, r? -1 Let b = -6 + 8. Let p = -0.6 + b. Let w = -0.9 + p. What is the smallest value in 2, -2/5, w? -2/5 Let q = -10 - 3. Let t = 9 + q. Which is the second smallest value? (a) t (b) 0.2 (c) 1 b Suppose 9*n - 38 = -2. What is the third biggest value in -1, n, 0.5? -1 Let o = -24 + 166/7. What is the smallest value in -0.5, 3, o? -0.5 Let s = -0.22 - -1.22. Which is the third biggest value? (a) s (b) -2/3 (c) -5 c Let x be (3 - 3)/((-1)/1). Which is the second smallest value? (a) -2/3 (b) -0.5 (c) x b Let h be 3 + (6 + -11)*7/11. What is the second smallest value in 1, 2/9, -5, h? h Let k = 176.92 + -174. Let r = -3 + k. Let t = r + 0.48. Which is the third smallest value? (a) t (b) -1/6 (c) 0.1 a Let z be 1 + (-1 + 0)*1. Let u = 0.29 - -0.11. Let x = 0.2 - u. What is t
{ "pile_set_name": "DM Mathematics" }
integer? 2364 What is 634610 to the power of 1/6, to the nearest integer? 9 What is the ninth root of 4291320 to the nearest integer? 5 What is 6819681 to the power of 1/5, to the nearest integer? 23 What is 1048905 to the power of 1/2, to the nearest integer? 1024 What is 8275996 to the power of 1/9, to the nearest integer? 6 What is 6203 to the power of 1/7, to the nearest integer? 3 What is 661191 to the power of 1/10, to the nearest integer? 4 What is the fifth root of 381186 to the nearest integer? 13 What is 29974 to the power of 1/6, to the nearest integer? 6 What is the cube root of 84449 to the nearest integer? 44 What is the sixth root of 280143 to the nearest integer? 8 What is 534596 to the power of 1/2, to the nearest integer? 731 What is 798370 to the power of 1/3, to the nearest integer? 93 What is 44111 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 98727 to the nearest integer? 4 What is 2367866 to the power of 1/4, to the nearest integer? 39 What is the cube root of 7019594 to the nearest integer? 191 What is the cube root of 1100940 to the nearest integer? 103 What is 3290253 to the power of 1/2, to the nearest integer? 1814 What is the tenth root of 169075 to the nearest integer? 3 What is the cube root of 531632 to the nearest integer? 81 What is the third root of 10839263 to the nearest integer? 221 What is the eighth root of 1834086 to the nearest integer? 6 What is 10883 to the power of 1/2, to the nearest integer? 104 What is 12160145 to the power of 1/6, to the nearest integer? 15 What is 3033456 to the power of 1/6, to the nearest integer? 12 What is the eighth root of 28868 to the nearest integer? 4 What is 2526864 to the power of 1/2, to the nearest integer? 1590 What is the eighth root of 2952508 to the nearest integer? 6 What is the cube root of 3022829 to the nearest integer? 145 What is 834846 to the power of 1/2, to the nearest integer? 914 What is the square root of 1241120 to the nearest integer? 1114 What is 7209377 to the power of 1/3, to the nearest integer? 193 What is the square root of 792133 to the nearest integer? 890 What is 45640 to the power of 1/3, to the nearest integer? 36 What is 25553429 to the power of 1/2, to the nearest integer? 5055 What is the square root of 5070345 to the nearest integer? 2252 What is 3875236 to the power of 1/5, to the nearest integer? 21 What is 210216 to the power of 1/9, to the nearest integer? 4 What is 3459186 to the power of 1/3, to the nearest integer? 151 What is 176436 to the power of 1/9, to the nearest integer? 4 What is 632004 to the power of 1/4, to the nearest integer? 28 What is the fifth root of 4552706 to the nearest integer? 21 What is 1846032 to the power of 1/5, to the nearest integer? 18 What is 7445005 to the power of 1/2, to the nearest integer? 2729 What is the cube root of 12033426 to the nearest integer? 229 What is 672954 to the power of 1/3, to the nearest integer? 88 What is 461680 to the power of 1/3, to the nearest integer? 77 What is 984806 to the power of 1/3, to the nearest integer? 99 What is the square root of 199716 to the nearest integer? 447 What is the cube root of 11630222 to the nearest integer? 227 What is the fourth root of 16708296 to the nearest integer? 64 What is the third root of 303575 to the nearest integer? 67 What is the square root of 12027866 to the nearest integer? 3468 What is the square root of 397690 to the nearest integer? 631 What is 43677 to the power of 1/3, to the nearest integer? 35 What is 34603823 to the power of 1/4, to the nearest integer? 77 What is 289882 to the power of 1/3, to the nearest integer? 66 What is 70143 to the power of 1/9, to the nearest integer? 3 What is the ninth root of 8192650 to the nearest integer? 6 What is the third root of 53148 to the nearest integer? 38 What is 94218 to the power of 1/5, to the nearest integer? 10 What is 1519007 to the power of 1/6, to the nearest integer? 11 What is the square root of 1915194 to the nearest integer? 1384 What is 660000 to the power of 1/8, to the nearest integer? 5 What is 8539485 to the power of 1/6, to the nearest integer? 14 What is the cube root of 1549347 to the nearest integer? 116 What is the tenth root of 16747 to the nearest integer? 3 What is 11229176 to the power of 1/4, to the nearest integer? 58 What is 781922 to the power of 1/8, to the nearest integer? 5 What is the tenth root of 153066 to the nearest integer? 3 What is 28544163 to the power of 1/3, to the nearest integer? 306 What is 168965 to the power of 1/2, to the nearest integer? 411 What is the square root of 11612754 to the nearest integer? 3408 What is the ninth root of 635207 to the nearest integer? 4 What is 507571 to the power of 1/7, to the nearest integer? 7 What is 72180 to the power of 1/7, to the nearest integer? 5 What is 1450250 to the power of 1/2, to the nearest integer? 1204 What is 1737802 to the power of 1/2, to the nearest integer? 1318 What is 300141 to the power of 1/5, to the nearest integer? 12 What is 2991367 to the power of 1/3, to the nearest integer? 144 What is the sixth root of 10569630 to the nearest integer? 15 What is 3592638 to the power of 1/2, to the nearest integer? 1895 What is 4099578 to the power of 1/9, to the nearest integer? 5 What is the third root of 22152626 to the nearest integer? 281 What is 569247 to the power of 1/9, to the nearest integer? 4 What is 41762 to the power of 1/3, to the nearest integer? 35 What is 65984 to the power of 1/6, to the nearest integer? 6 What is the cube root of 401331 to the nearest integer? 74 What is 10336302 to the power of 1/6, to the nearest integer? 15 What is 1656492 to the power of 1/2, to the nearest integer? 1287 What is the cube root of 3517958 to the nearest integer? 152 What is the third root of 88388 to the nearest integer? 45 What is the square root of 1724873 to the nearest integer? 1313 What is 11252576 to the power of 1/2, to the nearest integer? 3354 What is the tenth root of 23808508 to the nearest integer? 5 What is the third root of 237557 to the nearest integer? 62 What is the square root of 15489753 to the nearest integer? 3936 What is the ninth root of 110477 to the nearest integer? 4 What is the fourth root of 1392403 to the nearest integer? 34 What is the cube root of 32394490 to the nearest integer? 319 What is 19096480 to the power of 1/6, to the nearest integer? 16 What is the cube root of 479469 to the nearest integer? 78 What is the cube root of 385027 to the nearest integer? 73 What is the square root of 230404 to the nearest integer? 480 What is the square root of 1563825 to the nearest integer? 1251 What is the ninth root of 1199880 to the nearest integer? 5 What is 3019439 to the power of 1/4, to the nearest integer? 42 What is the ninth root of 11507766 to the nearest integer? 6 What is 1723861 to the power of 1/3, to the nearest integer? 120 What is the cube root of 7916993 to the nearest integer? 199 What is 2369206 to the power of 1/3, to the nearest integer? 133 What is 257176 to the power of 1/2, to the nearest integer? 507 What is the square root of 4966063 to the nearest integer? 2228 What is the cube root of 2675678 to the nearest integer? 139 What is the fourth root of 12794511 to the nearest integer? 60 What is the fifth root of 230918 to the nearest integer? 12 What is the third root of 4982802 to the nearest integer? 171 What is 7855920 to the power of 1/2, to the nearest integer? 2803 What is 697772 to the power of 1/5, to the nearest integer? 15 What is the square root of 1974427 to the nearest integer? 1405 What is 6154859 to the power of 1/2, to the nearest integer? 2481 What is the cube root of 1678930 to the nearest integer? 119 What is the square root of 1246757 to the nearest integer? 1117 What is the third root of 28965819 to the nearest integer? 307 What is the square root of 1088060 to the nearest integer? 1043 What is 962086 to the power of 1/9, to the nearest integer? 5 What is the third root of 1154887 to the nearest integer? 105 What is 3788361 to the power of 1/5, to the nearest integer? 21 What is the cube root of 7132680 to the nearest integer? 192 What is the cube root of 12789916 to the nearest
{ "pile_set_name": "DM Mathematics" }
Is t(-5) a composite number? False Let s(k) = -k + 8. Let n be s(6). Suppose 0 = -n*f + m + 330, 340 = 3*f + 2*m - 141. Suppose 0 = 3*y + 4*w - 123, 4*y + 7*w - 2*w = f. Is y a composite number? False Let g(q) = 7*q**2 - 57 - 6*q**2 + 8*q**2 - 6*q - 7*q. Is g(-16) a composite number? True Is 9 + 174/(-319) + (-3882572)/(-22) a composite number? False Let i(h) = 29684*h + 2855. Is i(25) composite? True Suppose 0 = 8*w - 10*w - 2916. Let t = 209 - w. Suppose -3*l - r + 1312 + t = 0, 5*r = -5*l + 4965. Is l a prime number? False Let u(c) be the second derivative of -c**4/6 - 17*c**3/6 - 3*c**2 + 15*c. Let j be u(-8). Suppose j*l = 2*t - 540, -2*t + 4*l = -t - 285. Is t composite? True Let f = -1465 + 15216. Is f prime? True Suppose -2*s + 12030 = k + s, 0 = -4*k + 2*s + 48190. Suppose 717 + k = 9*z. Let j = z - 723. Is j a composite number? True Suppose -d - 1 + 0 = -p, 25 = 5*p. Suppose 16*r - d*r - 72 = 0. Suppose 305 = r*o - 169. Is o composite? False Let z = 27 - 29. Let w(g) = -2*g**3 - g**2 - 2*g - 3. Let r be w(z). Suppose -2*k + r = -277. Is k a prime number? False Suppose m - 4*m - 9567 = 0. Let h = -1940 - m. Is h prime? True Suppose -3*w + w + 4*r + 7622 = 0, -3787 = -w - 4*r. Is w a composite number? False Let x(o) = o**2 + 12*o - 14. Let u be x(-14). Suppose -9*d - 1010 = -u*d. Is d prime? False Suppose 14*d - 16*d - 5*g + 390233 = 0, 2*d = -4*g + 390234. Suppose 68990 + d = 23*n. Is n composite? False Let v(b) = -109*b - b**3 - 25 - 11*b**2 - 10*b**2 + 89*b. Is v(-29) composite? False Let y be 22 + (2 - -2)/(-2). Let b be ((-8)/y)/(((-6)/(-2))/6945). Let h = 1632 + b. Is h prime? False Let y = -10 + 24. Suppose 5392 = -10*j + y*j. Is (j/6 - 2) + (-3)/(-9) prime? True Let u(h) = 1325*h + 9. Let a be u(-4). Let w = a - -8018. Suppose -2*d + d + 1356 = n, 0 = -2*d + n + w. Is d a prime number? True Suppose 421*p = 439*p - 267606. Is p a prime number? True Let b(y) = -10*y + 26*y**2 - 7 + 4 - 4 + 3*y. Is b(6) composite? False Let o(a) = 362*a**2 - 21*a + 182. Is o(11) composite? False Suppose 3*f + 18 = 9*f. Suppose -4*q + 8 = 2*u - 8*q, f*u - 4*q = 18. Is 16/(-20) - ((-5598)/u + 2) prime? True Suppose -2*j = w + 2*j - 18, 3*w + 5*j - 33 = 0. Suppose 3*q + 3*f - 20853 = 0, 8*q - w*q - 2*f - 13886 = 0. Is q a prime number? True Suppose 0 = 3*y - 3, 162*f - 160*f - 2*y - 1604660 = 0. Is f prime? True Suppose -6*n = t - 2*n - 25589, 5*n - 51193 = -2*t. Suppose 3*c - 3*s - 76809 = 0, -3*s - t = -c + s. Is c a composite number? False Let z(g) = -2*g**3 + 26*g**2 - 33*g + 17. Let r be z(13). Let b = r - -2145. Is b composite? False Let f(n) = -3*n + 10. Let m(d) = -2*d**2 + 16*d + 4. Let q be m(8). Let r be f(q). Is 54 - r - 21/7 composite? False Suppose 10*u + 402364 = -10*u + 22*u. Is u prime? False Is (19/(19/(-4)))/((-4)/246527) a prime number? True Suppose -x - 3*r = -6*r + 10468, 3*r + 41932 = -4*x. Let n = -5429 - x. Is n a composite number? False Suppose -22*i + 18*i + 7359802 = 34*i. Is i a prime number? True Suppose -332 = 4*k + 72. Let j = 93 + k. Is 6/(-24) - (2 - (-106)/j) composite? False Let f(p) = 11*p**2 + 5*p - 103. Let m be 7/1 - (25 - 2). Is f(m) prime? True Let s(o) = o**3 - 10*o**2 + 11*o + 9. Let x be s(9). Let t be (0 - -5) + x/(-9). Suppose -5*d = -t*j - 1459, -j - 671 = -3*d + 205. Is d prime? True Let g be 32272/(-48) + (-2)/(-6). Let n = g + 11685. Is n a composite number? True Let o(i) = -10*i**3 - 31*i**2 - 10*i + 202. Is o(-27) composite? False Let t = 26317 + 54696. Is t a composite number? False Let o(z) = -369*z - 1286. Is o(-63) a prime number? True Suppose 2*v - 2526 - 1240 = -4*s, -4 = 4*v. Is (-7)/(4704/s - 5) a composite number? True Suppose 4*a = -0*a + 236. Suppose -2*o + 2*q + 5 + a = 0, -4*q = o - 12. Suppose 4*i = -4*z + 56, 4*z - o = 2*z + 2*i. Is z a prime number? False Let x(r) be the third derivative of 655*r**4/24 + 2*r**3 - 2*r**2 - 48*r. Is x(7) a composite number? False Let v(b) be the third derivative of 0 + 7*b**2 + 0*b - 1/60*b**5 - 13/6*b**3 - 1/12*b**4 + 1/120*b**6. Is v(6) prime? False Suppose 0 = -4*x - 3*g + 198895, -149180 = -46*x + 43*x - g. Is x composite? True Let a(o) = 1166*o**3 + o**2 + 32*o - 38. Is a(5) a prime number? True Suppose 3*y + 2*y = -3*k + 284453, 3*y + 4*k = 170674. Let g = 86679 - y. Is g prime? True Let l(f) = -301*f + 101. Let w be l(-9). Suppose 0 = -2*u + 3*q + 2261, -4*q = 4*u - 1742 - w. Is u prime? False Suppose -11*o + 24677946 = 46*v - 7*o, 1609430 = 3*v - o. Is v a prime number? False Let l(r) = 474*r - 5573. Is l(45) composite? True Let u(q) = 13*q**2 + 3*q - 22. Let s be u(-17). Let i = -1163 + s. Suppose 2*c = -3*v + 7563, v = -5*c + c + i. Is v a composite number? False Let i(u) = 33*u**2 - 51*u + 605. Is i(-71) composite? False Let u(r) = -3*r**3 - 5*r**2 + 4*r - 29. Let a(p) = 5*p**3 + 9*p**2 - 6*p + 58. Let y(c) = -4*a(c) - 7*u(c). Is y(7) a composite number? True Suppose 2*x - o - 2029754 = 0, -x + 3*o = -2*x + 1014863. Suppose -42*u + x = -251887. Is u composite? False Suppose 3*y + 56915 = 2*w, 2*w - 48017 = 2*y + 8903. Is w composite? True Let d(t) = 356*t - 35. Let m be d(6). Suppose -32*l + 33*l - m = 0. Is l prime? False Suppose 22983732 - 131387459 = -45*f - 38*f. Is f a composite number? False Is (65/(-7) - 2/(-7))*(-17666459)/1641 prime? False Let c = 717 + -710. Suppose -4*q + 54404 = c*z - 11*z, 2*z = 4*q - 54396. Is q prime? True Suppose -34*v + 46431 = -23*v. Suppose -5*w = -3749 - v. Is w composite? True Let m be ((-14)/3)/(6/18). Let v = m - -20. Suppose -4*c + 2738 = -4*t + v*t, 1357 = t - c. Is t a composite number? False Let q = 5320 + 4147. Is q composite? False Let d be 362*(2 + (-34)/16)*-4. Suppose -t + 4*j - d = -736, 0 = -2*t + 4*j + 1114. Is t a prime number? False Suppose g + 5 = -4*g. Let x(r) = 1 - 34 - 5*r + 10 + 84*r**2 + 12 + 7. Is x(g) a composite number? True Let n = 93 - 94. Is 22899/24 + n - (-2)/(-16) composite? False Is (-8879591)/(-35) - (-2)/5 prime? True Is ((-65)/(-2))/(695/4753522) a composite number? True Let y(u) = 107*u**3 + 22*u**2 - 67*u + 43. Is y(21) a composite number? True Is (6022/5)/(((-23)/115)/((-43)/2)) prime? False Let z(k) be the third derivative of -19/6*k**3 + 0*k + 0 - 11/12*k**4 - 13*k**2. Is z(-6) a prime number? True Let l(o) = -2*o**3 + o**2 + o + 1. Let b be l(-1). Suppose -1330 - 1715 = -5*k. Suppose b*s = -0*s + k. Is s a composite number? True Let s = 17765 - -6124. Is s a prime number? False Let l be (0 + 58)*154/4. Let g(c) = 16*c**2 + c - 104. Let b be g(10). Let w = l - b. Is w a prime number? True Let f(v) be the first derivative of 13*v**4/4 - 2*v**3 + 15*v**2/2 - 61*v - 197. Is f(8) a composite number? True Suppose -6*w + 4199 = -15193. Let r = w + -1029. Is r a prime number? True Suppose -63*q + 17*q + 2346 = 0. Suppose q*w - 139744 = 19*w. Is w composite? True Suppose -365 = 9*o - 4*o. Let u = 71 + o. Is (-1*(u - -4))/((-2)/787) prime? True Suppose 6*r = -0*r + 36. Suppose r*a - 8763 = 18075. Suppose -7*z = -16*z + a. Is z a composite number? True Let y(b) = 4*b**3 - 16*b**2 - 19*b. Let x be y(5). Suppose x*o - 8*o = 3*i - 50715, -4*o - i + 67632 = 0. Is o a prime number? False Let p be 11 - 8/(12/6). Suppose p*g = -8557 + 48842. Is g a prime number? False Suppose -2*k - 2*h + 1972080 = 0, -5*k + 6383245 - 1453065 = h. Is k prime? False Let g be -2 + (-9)/((-27)/12). Suppose -g*a + 3*a - 10497 = -5*q, -10487 = -5*q + 4*a. Is q a composite number? False Let o(j) = j**2 + 22*j + 25. Suppose 0 = -0*c - c - 21. Let b be o(c). Suppose r + 452 = 3*g, 4*g - b*r - 329 = 287. Is g composite? False Suppose -2*u - 10 = 3*n - 17, 0 = -4*n - 4*u + 4. Suppose -5*b + 47925 = -n*x, -32*x + 36*x = 2*b - 19162. Is b a prime number? False Let m(z) = 2*z**3 + 15*z**2 + 7*z + 3. Let i be m(-7). Suppose -i*q - 3829 = -11656. Is q composite? False Let c(d) = 2*d - 3. Let y be c(2). Let t be y - (-804 - (-2 + -2)). Let s = t + -532. Is s composite? False Let w(d) = -131*d**3 - 60*d**2 - 10*d + 53. Is w(-16) composite? False Let q(p) = -255*p**3 + 7*p**2 - 80*p - 619. Is q(-13) a prime number? True Let q(h) be the first derivative of h**4/4 + 20*h**3/3 + 17*h**2/2 + 35*h + 10. Suppose -13*t + 8*t + 3*o - 97 = 0, -4*t - 88 = -5*o. Is q(t) prime? True Suppose -2*s - 261*v + 2336 = -263*v,
{ "pile_set_name": "DM Mathematics" }
replacement from soosooooosoo. 21/55 Three letters picked without replacement from tpqxctxpxcxtxqp. Give prob of picking 2 t and 1 c. 6/455 Two letters picked without replacement from {m: 1, f: 2, k: 2, t: 1, j: 1}. What is prob of picking 1 k and 1 m? 2/21 Calculate prob of picking 1 c and 1 n when two letters picked without replacement from rnroc. 1/10 Calculate prob of picking 2 w and 2 d when four letters picked without replacement from {d: 3, b: 1, w: 3, r: 1, e: 1, c: 2}. 3/110 Three letters picked without replacement from utokotoukyuttutu. What is prob of picking 2 u and 1 o? 3/56 What is prob of picking 1 g, 1 u, and 2 k when four letters picked without replacement from gliggvkllvulgkk? 4/455 Three letters picked without replacement from xvvpcxxpcpppxvxpvpv. What is prob of picking 1 x and 2 p? 35/323 Three letters picked without replacement from pznnvzo. What is prob of picking 1 o, 1 v, and 1 z? 2/35 Two letters picked without replacement from {l: 1, q: 3, i: 6, h: 1, n: 3, g: 3}. Give prob of picking 1 l and 1 g. 3/136 What is prob of picking 2 v and 1 t when three letters picked without replacement from {l: 3, t: 3, m: 7, j: 4, v: 3}? 3/380 Two letters picked without replacement from aaannaaanan. Give prob of picking 2 n. 6/55 Two letters picked without replacement from {v: 2, g: 1, b: 4, s: 2}. What is prob of picking 2 b? 1/6 Two letters picked without replacement from heeleehhel. Give prob of picking 1 h and 1 l. 2/15 Two letters picked without replacement from {e: 4, w: 1, h: 9}. Give prob of picking 1 w and 1 h. 9/91 What is prob of picking 1 t and 1 j when two letters picked without replacement from ttwttjwwtwtit? 7/78 Three letters picked without replacement from nnxnnnxnbnxnmnbn. What is prob of picking 1 b and 2 x? 3/280 What is prob of picking 1 p, 2 x, and 1 o when four letters picked without replacement from {o: 1, x: 5, h: 1, d: 1, p: 1}? 5/63 Calculate prob of picking 1 m, 2 r, and 1 x when four letters picked without replacement from mmxxmrvmxrmxrrxmmx. 7/85 Two letters picked without replacement from zljzjzcjlljbzljlz. What is prob of picking 1 b and 1 c? 1/136 Three letters picked without replacement from {s: 5, a: 2, p: 9}. Give prob of picking 3 s. 1/56 Four letters picked without replacement from sxxssxxsssjxbas. Give prob of picking 2 s, 1 x, and 1 b. 1/13 Two letters picked without replacement from slosoossooslcoslo. Give prob of picking 1 o and 1 s. 21/68 Two letters picked without replacement from sqqls. Give prob of picking 1 l and 1 q. 1/5 Three letters picked without replacement from mjmjlmjjlj. What is prob of picking 2 l and 1 m? 1/40 Calculate prob of picking 2 k when two letters picked without replacement from {t: 3, w: 3, k: 6, n: 1, f: 1}. 15/91 Three letters picked without replacement from vuesevbevsh. What is prob of picking 1 e, 1 u, and 1 h? 1/55 Three letters picked without replacement from xxxcxxxxxxxxcxxcxx. What is prob of picking 3 c? 1/816 Three letters picked without replacement from rnnnnrnr. Give prob of picking 1 n and 2 r. 15/56 Four letters picked without replacement from {c: 2, i: 1, l: 2, r: 3, p: 2, w: 4}. What is prob of picking 1 c, 2 w, and 1 p? 24/1001 What is prob of picking 2 c and 1 n when three letters picked without replacement from ncuccdcucquq? 1/22 What is prob of picking 2 x when two letters picked without replacement from gkmkgxxkmxxmxmx? 1/7 What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, m: 1, a: 2, p: 2, y: 1, w: 1}? 1/28 Two letters picked without replacement from {v: 3, g: 7}. Give prob of picking 2 g. 7/15 Three letters picked without replacement from {w: 5, d: 8, o: 1, z: 2}. What is prob of picking 1 z and 2 w? 1/28 Four letters picked without replacement from ofvysyorysrf. What is prob of picking 1 f, 1 v, 1 s, and 1 r? 8/495 Calculate prob of picking 1 s and 3 p when four letters picked without replacement from pppppspsssp. 14/33 Calculate prob of picking 2 y and 1 c when three letters picked without replacement from cuiyiyymyyi. 2/33 Two letters picked without replacement from {g: 1, d: 2, f: 1, b: 1, x: 3, c: 4}. What is prob of picking 1 b and 1 f? 1/66 What is prob of picking 3 f and 1 w when four letters picked without replacement from wwwfwhwfwwhwhhfw? 9/1820 What is prob of picking 2 g when two letters picked without replacement from {g: 12, o: 3}? 22/35 Three letters picked without replacement from {r: 9, z: 3}. Give prob of picking 2 z and 1 r. 27/220 What is prob of picking 1 b and 3 z when four letters picked without replacement from {z: 4, b: 14}? 14/765 What is prob of picking 2 s when two letters picked without replacement from lplpsspllllppsll? 1/40 What is prob of picking 2 z when two letters picked without replacement from {z: 1, a: 1, k: 1}? 0 Three letters picked without replacement from tthahhhhaathhhhhht. Give prob of picking 3 a. 1/816 Calculate prob of picking 2 a and 2 o when four letters picked without replacement from {b: 1, a: 4, n: 6, o: 4}. 12/455 What is prob of picking 1 n and 1 b when two letters picked without replacement from {k: 2, e: 1, m: 2, n: 1, b: 1, a: 2}? 1/36 Three letters picked without replacement from {t: 2, p: 1, r: 2, d: 3, c: 4, h: 2}. Give prob of picking 1 c and 2 h. 1/91 What is prob of picking 3 l when three letters picked without replacement from xhl? 0 What is prob of picking 1 z and 1 d when two letters picked without replacement from {d: 1, z: 2, b: 2, i: 2, r: 1, w: 1}? 1/18 Three letters picked without replacement from yyyyaaayaayayyayaaa. What is prob of picking 2 y and 1 a? 120/323 Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {v: 4, y: 3, w: 3, x: 3, i: 3}. 1/10 What is prob of picking 1 z and 1 a when two letters picked without replacement from zxaxxzzx? 3/28 Two letters picked without replacement from {j: 2, w: 2, x: 1, m: 3, b: 12}. What is prob of picking 2 m? 3/190 Two letters picked without replacement from {d: 4, b: 1, w: 2, h: 1, p: 2}. What is prob of picking 2 h? 0 Two letters picked without replacement from ppppqpqppp. Give prob of picking 2 q. 1/45 Three letters picked without replacement from {n: 9, p: 1, z: 2, t: 2, k: 3}. Give prob of picking 2 n and 1 k. 27/170 What is prob of picking 3 u when three letters picked without replacement from ouoooouuouuo? 1/22 What is prob of picking 2 a when two letters picked without replacement from {a: 13, c: 6}? 26/57 Calculate prob of picking 2 c when two letters picked without replacement from dgvdcdc. 1/21 Four letters picked without replacement from lllllll. What is prob of picking 4 l? 1 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from rriirirr. 15/28 Calculate prob of picking 2 e and 2 f when four letters picked without replacement from {p: 2, e: 8, f: 2}. 28/495 Three letters picked without replacement from {k: 2, a: 2, o: 2, c: 2}. What is prob of picking 1 c, 1 o, and 1 k? 1/7 Calculate prob of picking 2 h, 1 f, and 1 k when four letters picked without replacement from hhfpffeffffflpfhpk. 3/340 Calculate prob of picking 1 u and 1 o when two letters picked without replacement from uxuuuuuuuouuuu. 12/91 What is prob of picking 1 m and 1 z when two letters picked without replacement from {m: 3, u: 2, z: 7, d: 1, x: 3, p: 2}? 7/51 Three letters picked without replacement from iiivbivbb. What is prob of picking 2 i and 1 b? 3/14 Four letters picked without replacement from {z: 3, g: 3, t: 1}. Give prob of picking 1 t, 2 g, and 1 z. 9/35 Calculate prob of picking 1 n, 1 u, and 2 i when four letters picked without replacement from {u: 5, i: 4, n: 1}. 1/7 Calculate prob of picking 2 c when two letters picked without replacement from {j: 1, q: 2, x: 1, o: 4, c: 2, r: 5}. 1/105 Three letters picked without replacement from {u: 4, o: 2, k: 1}. What is prob of picking 3 u? 4/35 What is prob of picking 2 h and 1 f when three letters picked without replacement from {l: 1, z: 1, f: 2, s: 1, h: 2}? 2/35 Two letters picked without replacement from yyw. What is prob of picking 2 y? 1/3 Two letters picked without replacement from {l: 1, z: 1, p: 1}. What is prob of picking 1 p and 1 l? 1/3 Four letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
+ (sqrt(98) + 1)*-6)**2). -2483 - 406*sqrt(2) Simplify (-5*2*sqrt(468) + -6*sqrt(468)*-1)/(3*sqrt(112)/(sqrt(35)/sqrt(5))). -2*sqrt(13) Simplify 2*(-2*(1 + (-3 + sqrt(114)/sqrt(6) + sqrt(19) + sqrt(19))**2 - -6*((sqrt(1539))**2 + 0)) + -2). -37664 + 72*sqrt(19) Simplify (5*((4 + (sqrt(242) + sqrt(242) + 1)*6)*-5 + (sqrt(242) - (4 + (sqrt(242) - sqrt(242)*3))) + (sqrt(242) - sqrt(242)*2 - sqrt(242))*-3))**2. 1514700*sqrt(2) + 15808950 Simplify 1*((sqrt(11) - (sqrt(44)/sqrt(4))**2*-2) + sqrt(11) - (sqrt(11) - (-1 + sqrt(11) + 3))) + 4 + (sqrt(891) - (sqrt(891) - sqrt(891)*2))**2 + -4. 2*sqrt(11) + 3588 Simplify 2 + (sqrt(175) + (3 + sqrt(175) - sqrt(175))**2 + -1 + -1 - (-1*(sqrt(175) + -2) - (-1*-1*sqrt(175) + sqrt(175)))). 7 + 20*sqrt(7) Simplify (5 + ((-2*sqrt(190))/sqrt(10) - sqrt(57)/(sqrt(3)*1)) + ((sqrt(456)*-1)/sqrt(8))/(-2*sqrt(192) - sqrt(192)))**2. -355*sqrt(19)/12 + 110179/576 Simplify (-4 + sqrt(5) + 3 + -4 + -4 - (4 + 4 + 2 + sqrt(245) + sqrt(245)))**2. 494*sqrt(5) + 1206 Simplify ((sqrt(208) + sqrt(52))*1)/(sqrt(8)/sqrt(2)*3) + 4 - (((sqrt(325)*-3)**2 - 3*sqrt(13)*-4) + -5). -2916 - 11*sqrt(13) Simplify (6*sqrt(180)/sqrt(10) + sqrt(18) + (sqrt(2592) - sqrt(2592)*-5 - sqrt(2592)))/((-1*(sqrt(99) + -3*sqrt(99)))/(2*sqrt(396))). 402*sqrt(2) Simplify (1 + 1*sqrt(75))*5 + 3 + (1*(2 + 1 + 2*sqrt(108)))**2. 97*sqrt(3) + 449 Simplify ((sqrt(256)*-2)/(3*sqrt(8)) - (5 + 5 + sqrt(8) + 0 + -5 + 2*sqrt(8)))**2. 260*sqrt(2)/3 + 1577/9 Simplify ((5 + 0 + sqrt(19))**2 - (-3*sqrt(684))**2) + 1 + (6*(sqrt(304) + 2))**2. 586*sqrt(19) + 4977 Simplify 4 + (-4*((sqrt(36)/(-1*sqrt(108)) - (-3 + (sqrt(3) + 1 + sqrt(3))*-2)) + -1))**2. 1408*sqrt(3)/3 + 2716/3 Simplify ((4*(sqrt(96) + sqrt(96) + -2*sqrt(96)))/(-3*(sqrt(16) - sqrt(4)) - sqrt(4)))/(3*sqrt(1452) - sqrt(12)*-3*1). 0 Simplify ((sqrt(192) + (-2 + (sqrt(192)*2 - sqrt(192)) - sqrt(192)) + sqrt(192) - ((-2*sqrt(192) - sqrt(192)) + 5))*-3*5*6)**2 + 2. -4536000*sqrt(3) + 39276902 Simplify (3*sqrt(130)*4 + sqrt(130) - sqrt(130) - sqrt(130) - (sqrt(130) - -1*-3*sqrt(130)))/(sqrt(200)/(sqrt(5)*2)*-4). -13*sqrt(13)/4 Simplify ((sqrt(84) - 1*-2*sqrt(84) - sqrt(84))/(sqrt(12) + sqrt(12) + -1*sqrt(768) + sqrt(768)) + (sqrt(420)/(-1*sqrt(10)))/(-4*sqrt(18)/sqrt(3)))**2 + -1. 159/16 Simplify -2*((-2*sqrt(637))**2 + -3) - (2 + (sqrt(1300) - sqrt(1300)*1)**2*3). -5092 Simplify -3 + (sqrt(14) - sqrt(56)*3 - sqrt(2016)*-1)/((sqrt(96)/(sqrt(16)/sqrt(4)))/(sqrt(84)/(sqrt(28)/sqrt(4)))). -3 + 7*sqrt(7) Simplify (-4 + sqrt(448)*1 + sqrt(448) - (1 + sqrt(448) + -3 + sqrt(448))**2) + 3 + 1 - (4 + (2 + sqrt(448) + 0 + sqrt(448) + sqrt(448) - -3*(sqrt(448) + 1))). -1805 + 32*sqrt(7) Simplify (sqrt(180)/(sqrt(6)/sqrt(2)))/(sqrt(1728) - sqrt(12)) + sqrt(15)/(sqrt(18)/(sqrt(42)/sqrt(7))) + 4. 12*sqrt(5)/11 + 4 Simplify ((sqrt(192) - sqrt(192)*-4) + 0 - (sqrt(192) + 3*sqrt(192) + -3) - (-3 + (sqrt(192) + 0 - sqrt(192) - sqrt(192)) - -1*1*sqrt(192))*1)**2*-1. -228 - 96*sqrt(3) Simplify ((((sqrt(132)*-2 - sqrt(132))*2 - sqrt(132) - sqrt(132))/(2*sqrt(27)))/(sqrt(144)/sqrt(4) - -6*sqrt(16)/sqrt(4)))**2. 176/729 Simplify ((-5*(sqrt(306)*1 - sqrt(306)))/(sqrt(6) + sqrt(12)/(sqrt(8) - sqrt(2))))/((2*sqrt(36)/sqrt(2))/(sqrt(60)/(sqrt(10) - (sqrt(10) - -1*sqrt(10))))*-3). 0 Simplify (-1*((3 + sqrt(500) + -1 - sqrt(500)) + -3) - ((sqrt(500) + 0)*2 - -6*2*sqrt(500)))**2. -280*sqrt(5) + 98001 Simplify (-4*(5 + -6*sqrt(17)*-2*-1 - (1 + sqrt(68)*1 + (sqrt(68) - (sqrt(68)*-1 + sqrt(68))*1 - sqrt(68)))))**2*-6. -321408 + 10752*sqrt(17) Simplify (((sqrt(119) - (sqrt(119)*3*3 - sqrt(119)))*-6)/(-5*sqrt(448)*2 + sqrt(448))*-5)**2. 20825/144 Simplify ((4*-1*sqrt(140) + sqrt(140))/(sqrt(12)/sqrt(48)))/((sqrt(1008) + (sqrt(1008)*2 - sqrt(1008)))*2 + 2*1*sqrt(1008)). -sqrt(5)/6 Simplify -5*(4 + 3*(-3 + sqrt(162) + sqrt(162) + (sqrt(162)*-1 - sqrt(162) - sqrt(162) - sqrt(162)) + 0)**2). -9875 - 1620*sqrt(2) Simplify -4*((sqrt(448) - (1 + sqrt(448))) + 0 - (-1*(sqrt(70) - (1*sqrt(70) + sqrt(70))))/sqrt(10))**2. -32 - 8*sqrt(7) Simplify ((2 + sqrt(343) + -2 + 1 + sqrt(343)*-2)*1 - 1*(sqrt(343) + sqrt(343)*-2 + sqrt(343) + 5 + sqrt(343) - (5 + sqrt(343) + -2)))**2. 14*sqrt(7) + 344 Simplify 1 + (0 + 3*sqrt(11) + 0)**2 - ((sqrt(891)*2*1)**2 + ((-1 + sqrt(891))*-3 + sqrt(891))**2). -7037 + 108*sqrt(11) Simplify 3*-4*((-5*(sqrt(30) + -2*sqrt(30)) + sqrt(300)/(sqrt(30)/sqrt(3)))/(1*sqrt(490)*-5))**2. -1296/1225 Simplify 4 + -4 + sqrt(98)*2 + -4 + (1 + (sqrt(2) + -3 + 0 + sqrt(2) - 3*sqrt(8)/sqrt(4)))**2. 2 + 18*sqrt(2) Simplify 3*((3*sqrt(24))/sqrt(8) + sqrt(3) - 1*sqrt(3)*-6 - 2*(5 + 5 + (sqrt(27))**2)). -222 + 30*sqrt(3) Simplify 5 + (2 + -1*sqrt(1700)*1 - ((4 + (sqrt(17) - (sqrt(17) + 1)))**2 + (sqrt(204) - sqrt(204)*-2 - sqrt(204))/sqrt(12))). -12*sqrt(17) - 2 Simplify -2 + sqrt(117)/(sqrt(81)*-1) - (sqrt(13) - (-3*sqrt(52) + sqrt(52))**2 - (2*sqrt(39)/sqrt(3))**2). -4*sqrt(13)/3 + 258 Simplify 2 + sqrt(153)/sqrt(144)*5 - 1*(5*(sqrt(1377) + -3))**2. -34648 + 5405*sqrt(17)/4 Simplify (-3*((sqrt(88)*-2 + sqrt(88) - sqrt(88)) + sqrt(88))*-6*-5)/((sqrt(1000)*2)/((sqrt(50)/sqrt(2))/sqrt(5))). 9*sqrt(11) Simplify -4*(-3 + 6*(sqrt(704)*3)**2 - (-4 + (sqrt(11) + (sqrt(55) - (sqrt(55) - (sqrt(55) - (sqrt(5500) + sqrt(55)))))/sqrt(5))*-5)). -152068 + 180*sqrt(11) Simplify (5*-5*(sqrt(132) - ((sqrt(132)*1 - sqrt(132) - sqrt(132)) + sqrt(132)))*-4)/(5*sqrt(1728)*1*-3). -5*sqrt(11)/9 Simplify (-4*sqrt(18)/((sqrt(6)/sqrt(2) + sqrt(3))*-5))/(sqrt(3) + 4*sqrt(48) - 1*sqrt(48)). 2*sqrt(2)/65 Simplify -5 + (sqrt(190)*2*6 - (-5*(-1*sqrt(190) - sqrt(190)) - sqrt(190)))/(5*(sqrt(1440)*-2 - sqrt(1440))). -5 - sqrt(19)/60 Simplify (-1 + 6*(sqrt(17) + sqrt(17) + 1) + -1 - (-3 + 2*sqrt(1377)*-2))**2*-1. -39217 - 672*sqrt(17) Simplify -2*(1*(4 + 4 + -3*(sqrt(567) + 1) + -4))**2. -10208 + 108*sqrt(7) Simplify -1 + (3*sqrt(190)*2 + ((3*sqrt(190) + sqrt(190))*-2 + sqrt(190) - sqrt(190)))/((sqrt(90)/sqrt(3)*-1)/((-2*sqrt(12))/sqrt(4))). -4*sqrt(19) - 1 Simplify (-1 + -4 + (sqrt(112) - (sqrt(112) + 3 + -2) - (0 + 3*sqrt(112))))*-5. 30 + 60*sqrt(7) Simplify (((-5*sqrt(3025) - sqrt(3025)) + sqrt(3025))*3)/(3*sqrt(20)*-1). 55*sqrt(5)/2 Simplify 3*(4 + (5 + ((2 + sqrt(171)*1)**2 - sqrt(171)))*3*-2) + -4. -3232 - 162*sqrt(19) Simplify sqrt(72)/sqrt(6) - (((sqrt(12)/sqrt(4))**2 - sqrt(3)) + 0) - (sqrt(24)/(sqrt(40)/sqrt(80) - sqrt(8)) + 1). -4 + 13*sqrt(3)/3 Simplify (-1*(4 + sqrt(2736) + -1 + -3 + -4 + -1 + sqrt(2736)*-1 + sqrt(2736)) + 0)*-2. -10 + 24*sqrt(19) Simplify -5 + (sqrt(612) + -1*sqrt(612) + -4 + (1 + sqrt(1088))**2*-5)*5*6. -163475 - 2400*sqrt(17) Simplify -2*((2*sqrt(99) - sqrt(99)) + -4 - (sqrt(99) - (5 + 0 + sqrt(99) + sqrt(99)))**2) - (-1*sqrt(99) + 4 + 1 + -3)**2. 153 + 66*sqrt(11) Simplify (-1 + -2 + sqrt(17) - -6*(sqrt(17) - sqrt(68)/sqrt(4)) - (3*sqrt(170)*2 + sqrt(170) - sqrt(170))/(2*sqrt(90) + sqrt(90)))*6. -18 + 2*sqrt(17) Simplify 5 + 5*(5*(sqrt(78) - (sqrt(78) + sqrt(78)*-2)) + -1*sqrt(78)*4)/(sqrt(48)/((sqrt(8) - (sqrt(8) + 2*sqrt(8)))*-3 + sqrt(8))) + 1. 6 + 210*sqrt(13) Simplify ((2*sqrt(264)*6)/(sqrt(88)/(-1*sqrt(11))))/((sqrt(300) - (1*sqrt(300) - sqrt(300)))*6 - (sqrt(300) - 2*(sqrt(300) + 1*sqrt(300)))). -2*sqrt(11)/15 Simplify 1 + sqrt(1377) + 3 + 2 + (sqrt(1377) - (sqrt(1377) + -2*sqrt(1377))**2) + 4 + (3*(sqrt(1377) - 1*(sqrt(1377) + 0) - sqrt(1377)) + -5)**2. 288*sqrt(17) + 11051 Simplify (-1*(1*sqrt(39)*-1 - (sqrt(39) + sqrt(3900)*-2)))/(5*-1*(sqrt(21) + sqrt(42)/sqrt(2))/sqrt(7)). 9*sqrt(13)/5 Simplify 3*((-1 + 4 + sqrt(1584) + sqrt(1584) + 3*sqrt(1584) + 3 + sqrt(1584)*-1)**2 + -4). 1728*sqrt(11) + 76128 Simplify 4 + (5*(sqrt(1100) - 5*-3*sqrt(1100)))**2 + (4*(0 + sqrt(1100)))**2 + (0 + sqrt(1100) + -1 - sqrt(1100)) + -3. 7057600 Simplify (-4 + ((sqrt(26) + -5*-2*sqrt(26))*-2)/(sqrt(288)*-1*1 - sqrt(288)))*-4 + -3. -11*sqrt(13)/3 + 13 Simplify ((-2 + sqrt(7))*4 + sqrt(70)/(2*sqrt(10)) - ((sqrt(448)*-2 + -2)**2 + -1))*-4. 238*sqrt(7) + 7212 Simplify -1*(sqrt(80) + -5 + -3 + -3 - (sqrt(4455)*1)/(-3*(sqrt(11) - (sqrt(11) - sqrt(44))))). -11*sqrt(5)/2 + 11 Simplify 3 + -1*-5*(sqrt(75)*-2*-5)**2*3*2. 225003 Simplify (5*sqrt(1078))/(sqrt(2) - (sqrt(2) + (sqrt(288) - -4*sqrt(288)))) + (((sqrt(110)*-1)/sqrt(10) + -2)**2 - sqrt(22)/(sqrt(4)/sqrt(2)*-
{ "pile_set_name": "DM Mathematics" }
2/29, 5? 2/29 Which is the closest to 1? (a) 90 (b) 0.2 (c) 6 b Which is the closest to 1/4? (a) -14 (b) 1/3 (c) 808/21 b Which is the closest to 0.1? (a) 5.4 (b) -1 (c) 109/2 b Which is the closest to 0? (a) -488/5 (b) 8/7 (c) 0.5 (d) 0.4 (e) 1 d Which is the closest to -134.32? (a) 2 (b) -0.2 (c) 1/3 b What is the closest to 507 in 13, -0.5, 1? 13 What is the nearest to -3/10 in 2/49, -2/107, 5, 4? -2/107 Which is the nearest to 1/4? (a) -11/7 (b) -2/9 (c) 0.52 (d) 0.5 d What is the nearest to -40 in 1/9, -2/11925, 1/3? -2/11925 Which is the closest to -0.1? (a) 135 (b) 3/5 (c) 1 b What is the nearest to 1 in 0, 1/10, -5, 5/18, 4? 5/18 What is the nearest to 24 in -6, -1/4, 0.16, 1/2? 1/2 Which is the closest to -3/16? (a) -1 (b) 0.04 (c) 1 b What is the closest to 13 in 5, -0.6, -8/7? 5 Which is the closest to 0.3? (a) -381 (b) 0.05 (c) -0.3 b What is the nearest to 6 in -2/9, -11/5, 3, 0.2? 3 Which is the nearest to 2/27? (a) 1/4 (b) -1 (c) 0.0105 (d) 3/7 (e) 5 c Which is the nearest to -2? (a) -61 (b) 84 (c) 0.04 (d) -0.4 d Which is the nearest to -0.03? (a) -674 (b) 10 (c) -3 (d) 1/3 d What is the nearest to -8830/3 in 8, -0.4, -1, -0.5? -1 Which is the closest to -0.1? (a) 1 (b) 1984 (c) 0.001 c What is the closest to -1/27 in 2/19, 0.1, -2/9? 0.1 Which is the nearest to 1/3? (a) 75600 (b) -0.4 (c) 3 (d) 5 b What is the closest to 212 in 2, -3/10, -4/7, -1, 4? 4 What is the closest to -5 in 212, 5, 2/9, 0.4, -4? -4 What is the nearest to -39 in 3, 5, 1, 2/9, 0.4? 2/9 What is the nearest to 9/2 in -7, 2, -1/50? 2 What is the nearest to 1/2 in 1/10, -11, -74? 1/10 What is the closest to 0.06 in -31, -0.1, -5, -29? -0.1 Which is the closest to 0.4? (a) -19 (b) -1 (c) 2/5 c Which is the closest to -62? (a) 0.4 (b) -1 (c) -34 (d) -1.2 c Which is the closest to -279? (a) -5/4 (b) 4 (c) 1/5 (d) -2 d Which is the nearest to 37? (a) 1 (b) 3/5 (c) -841 a What is the nearest to -2/9 in -0.3, -3, 11? -0.3 Which is the closest to -2? (a) -0.9 (b) -0.4 (c) -5 (d) -2/3 a Which is the closest to -21? (a) -2 (b) -0.04 (c) 0.1 (d) 1/13 a What is the closest to -1/3 in -2/3, 0.5, -7/12, -19? -7/12 Which is the closest to 4420? (a) 5/2 (b) -2/11 (c) 0 a What is the nearest to 4 in -2, -2107, 2? 2 Which is the nearest to 193? (a) 4 (b) -0.4 (c) -295 a What is the nearest to 1 in -405, -121, 1? 1 Which is the nearest to -1? (a) 4 (b) 23 (c) -20 (d) -2 (e) 2 d What is the nearest to 159 in 6/11, -0.06, 2.8? 2.8 What is the closest to 412 in -2/3, 31, 4? 31 Which is the nearest to -7? (a) -11 (b) -4 (c) 2 (d) 7 b What is the closest to -0.0569 in 1/282, -0.3, 0.4? 1/282 Which is the closest to -55? (a) 3/55 (b) -0.1 (c) 0.1 (d) 1 b Which is the nearest to 16.61? (a) 1.1 (b) -6 (c) 0.3 a Which is the nearest to 2? (a) -1/3 (b) 3 (c) 0.1 (d) 332 b Which is the closest to 0? (a) 1/2 (b) 1187 (c) 3 (d) -4 a Which is the nearest to 0.246? (a) -0.01 (b) 1 (c) 3/7 c Which is the closest to -7.5? (a) -96 (b) 2/5 (c) -0.1 c Which is the closest to 3/4? (a) -2 (b) 0 (c) 5 (d) 594 (e) 0.5 e What is the closest to -0.04 in -5, -6, -4/5, 4, 8? -4/5 Which is the closest to 0? (a) -4/11 (b) 2 (c) 4/5 (d) -8/9 (e) -4/9 a Which is the nearest to 1/4? (a) 8 (b) 63 (c) 1 (d) 10 c What is the closest to 0.1 in 2/109, 2/13, 28, 7? 2/13 What is the closest to -1 in 1/3, 2/11, 121, 2.5? 2/11 Which is the nearest to -2/9? (a) -1/4 (b) -4 (c) -514.4 (d) -3 (e) 0 a Which is the closest to 6? (a) -2/11 (b) 14 (c) -9 (d) 5 (e) -5 d Which is the closest to -4? (a) 38 (b) -4 (c) 5 (d) 0.5 b Which is the closest to 0? (a) -2/11 (b) -15713 (c) 2/3 a Which is the nearest to -7141/4? (a) -3/4 (b) 8 (c) -0.1 (d) 0.1 a What is the nearest to 8 in -0.1, 4476.3, -0.5? -0.1 What is the nearest to -14/3 in -2, 6/7, 2/13, -0.2? -2 Which is the closest to -2.59? (a) 5 (b) 1/11 (c) 22/9 (d) -1/4 d Which is the nearest to -1/2? (a) 0.5 (b) -1/8 (c) -4 (d) 4 b What is the nearest to -2/243 in 1/3, 0.1, 1.4, 3? 0.1 Which is the nearest to 13? (a) -3/4 (b) 2/19 (c) -0.4 (d) -12/13 b What is the nearest to -0.4 in -41, 2/3, 13/2? 2/3 What is the nearest to 0.12 in 3, 0.4, 17? 0.4 What is the nearest to 2 in 2, 0.5, 1602? 2 Which is the nearest to 0.2? (a) 0.1 (b) 122.5 (c) 0 (d) 4 (e) 2 a What is the closest to -4798 in 0.1, -0.4, 1/5? -0.4 Which is the nearest to 0? (a) -0.2 (b) 63 (c) 0 (d) 17.5 c What is the closest to 2/15 in 1, -1, -1/13, -4/5, -13? -1/13 What is the closest to -4 in -4, -4/7, 2, 0.2, 17/8? -4 Which is the closest to -1? (a) 110 (b) 31.36 (c) -4 c Which is the nearest to 1/3? (a) -1/4 (b) -5 (c) 26 (d) -10 (e) -0.04 e What is the nearest to -1 in -17, -115, 5/2, -0.1, 3/2? -0.1 What is the closest to 4 in -1, 7/9, 3, -2/67? 3 What is the nearest to 0 in 8/3, 8/5, -0.09, -1, 0.1? -0.09 What is the closest to 3 in 0.3, 50776, -4? 0.3 What is the nearest to -1 in -1, 1/5, -34, -29/5, 1/3? -1 What is the closest to 1 in -0.1, 3, 0.782? 0.782 What is the nearest to 118 in -5, 0.4, -2, 5? 5 Which is the nearest to -2/3? (a) 6/11 (b) -4/9 (c) 2 (d) 5 (e) 0.077 b What is the nearest to 12 in -0.4, 5, -3.032, -0.1? 5 Which is the closest to -6/17? (a) -3 (b) 0.4 (c) 2 (d) 4/5 b What is the nearest to 1/10 in 2, -5, 0.1, -3/14? 0.1 Which is the nearest to 0.1? (a) 4 (b) 817 (c) -5 a Which is the nearest to -0.11? (a) 18 (b) -0.4 (c) -2 (d) -1/6 (e) 0.25 d Which is the nearest to 61? (a) -0.04 (b) 118.7 (c) -4 (d) 2 b What is the nearest to 4/3 in 2, 0.7, 2/5, -45? 0.7 What is the closest to -13 in -8/13, -2, 0.09? -2 Which is the closest to 14.8? (a) -1/3 (b) -0.02 (c) 8 c What is the closest to -636 in -29, 2, -15? -29 Which is the nearest to 2/5? (a) 5 (b) 0.5 (c) 4 (d) -96348 b What is the closest to -1/7 in -0.06, -3/4, 10/9, 2, -0.4? -0.06 What is the closest to 1 in -1906, 1, -4, 5, -0.1? 1 What is the nearest to -0.1 in -2/11, -2, -39, 0, -17? -2/11 Which is the nearest to 0? (a) 5 (b) 15/8 (c) 0.24 (d) 3 c What is the nearest to 10 in -2/3, -8, 11? 11 What is the nearest to 1/4 in 957, -1, -5? -1 What is the closest to -1 in -1.4, 0.0395, 0.3? -1.4 What is the nearest to -143 in 9, -0.2, 3, -3? -3 What is the closest to -1/5 in 0.2, 679, 2/5? 0.2 What is the closest to 0 in -13.8, 3, -3298/3? 3 What is the nearest to 0.1 in 1/4, 8403, -6? 1/4 Which is the nearest to 1/3? (a) 2.8 (b) -1/6 (c) -4/7 (d) -104 b Which is the nearest to 2/7? (a) 0.5 (b) -0.73 (c) -5 (d) 35/18 a Which is the nearest to -0.1? (a) 3 (b) -21.4 (c) -0.3 (d) 4 (e) 0.48 c Which is the nearest to -1? (a) 2/5 (b) -57 (c) 0.1 (d) -3/4 (e) 0.042 d What is the nearest to 1 in -2/15, -0.2, 4? -2/15 What is the nearest to -1 in 10/11, 0.037, -2, 2? -2 Which is the closest to -96? (a) 2 (b) -3 (c) 1 b Which is the nearest to -3? (a) -0.31 (b) 0.4 (c) -5 (d) -2.99 (e) 5 d What is the nearest to -41 in 0.2, -9/22, 3, -0.5? -0.5 What is the closest to -0.2 in -0.11, 1/65, -3/73? -0.11 What is the nearest to 5/7 in 1, -3/8, -2? 1 Which is the nearest to 2/17? (a) -2/4279 (b) -7 (c) 5 (d) -3/8 a Which is the closest to -1? (a) 2 (b) -5 (c) 0.21 (d) -25 (e) -7 c What is the nearest to -1 in 108/5, 3/4, -2/19? -2/19 What is the closest to 3 in -33.1, -4, 5? 5 Which is the nearest to -0.094? (a) -1/2 (b) -0.05 (c) 2 (d) 0 b Which is the nearest to 0.4? (a) -17/25 (b) -1/4 (c) 1/6 c Which is the closest to 3? (a) 1/18 (b) 0 (c) -4 (d) 11 a Which is the closest to 23/5? (a) -4 (b) 1 (c) -5 (d) 4/9 b Which is the closest to -3/8? (a) -3 (b) 1/5 (c) 25 (d) -6/17 d What is the nearest to 80 in -0.2, 3/2, 3, -1, -0.1? 3 Which is the closest to -4? (a) 3/16 (b) 77 (c) 102 a What is the closest to 9/2 in -3/5, 3, 5, -0.1? 5 What is the closest to -0.1 in 0.07, 0.5, 2, 7/74? 0.07 What is the nearest to -0.06 in -2, -118, -1/5, 4, 5? -1/5 Which is the nearest to -0.1? (a) -27 (b) -2 (c) -4 (d) 5 (e) -8/7 e What is the closest to 0.3 in -0.3, -2/11, -902/9? -2/11 Which is the nearest to 2.09? (a) 1 (b) 2 (c) -5/2 (d) -2/9 b Which is the nearest to 0.437? (a) 6 (b) 4 (c)
{ "pile_set_name": "DM Mathematics" }
(z) = -2*z**3 + 3*z**2 - z - 10. Let w(g) = -3*g**3 + 4*g**2 - g - 11. Let p = -71 - -67. Let d(n) = p*q(n) + 3*w(n). Give d(0). 7 Suppose -5*z + 140 - 45 = 0. Let d be (-4 - (4 + z/(-2)))*-2. Let v(r) = -r**2 - 4*r + 1. Determine v(d). 4 Let p(z) be the second derivative of -z**5/20 + z**4/12 + z**3/6 - z. Suppose -c - 317*j + 315*j = 5, 8 = -4*j. Determine p(c). 1 Let w(y) = -10*y - 64*y**2 + 32*y**2 - 15 + 31*y**2. Determine w(-6). 9 Let k(j) be the second derivative of j**3/6 - 7*j**2 + 5*j. Let n be k(8). Let x be -3*(1 + (-2)/n). Let m(b) = -b**3 - 4*b**2 - 2*b - 4. Determine m(x). 4 Let k(r) be the second derivative of -r**3/2 + 21*r**2/2 + r + 17. Give k(7). 0 Let c(y) = -y**2 - 5*y - 5. Let j = -607 + 606. Calculate c(j). -1 Let y(p) = p - 1. Let x(i) = 10*i - 1. Let u(g) = -2*g + 11. Let o be u(17). Let n = o - -25. Let h(f) = n*y(f) - x(f). Determine h(-2). 15 Let a(r) = -r**2 + r. Let v(s) = 4*s**2 - 2*s + 2. Let x(m) = -3*a(m) - v(m). Give x(-3). -8 Let a(l) = l**3 + 10*l**2 + 8*l + 5. Let o = -366 - -357. What is a(o)? 14 Suppose -1108*j - 14 = -1115*j. Let u(l) = -l - 3. Calculate u(j). -5 Let a = 2417 + -2418. Let d(w) = 37*w**2 + w. Determine d(a). 36 Let d(b) be the first derivative of 3*b**2 - b + 15. Suppose -5*q - 7 = -17. Determine d(q). 11 Let i(b) = 3*b - 15. Let d be i(5). Suppose -3*n + n = -10, 3*k = -5*n + 37. Let l(v) = -3*v + v**3 + 3 + k*v + v**2 - 2*v**3. Calculate l(d). 3 Let y(p) = -3*p**3 - 43*p**2 + 5*p - 8. Let l(b) = 4*b**3 + 50*b**2 - 6*b + 9. Let x(v) = 6*l(v) + 7*y(v). Determine x(0). -2 Suppose -a + 5 = -1. Let f(r) = -49*r + 50*r + 8117 - 8114. What is f(a)? 9 Let b be -12 + (-12 - (-6 + -1)). Let w(v) = v**3 + 18*v**2 + 18*v - 3. Calculate w(b). -20 Suppose -1997 = -91*d + 733. Let r(q) = -q + 19. What is r(d)? -11 Let s(w) = -10*w + 27*w - 13*w - 13. Let b be s(4). Let z(g) = g**2 - 3*g - 1. Determine z(b). -1 Let g(q) = -27*q + q**2 - 10 + 20*q - q. What is g(9)? -1 Let p(a) = a + 10. Let l be p(-8). Suppose 22 + l = 8*s. Let j(x) = 3 + x + 1 - 9*x**2 - s*x + 8*x**2. What is j(-4)? -4 Let w(p) = 7*p - 1 - 4 - 6. Let a(u) = 3*u - 5. Let b(o) = 9*a(o) - 4*w(o). Let f = 84 - 81. Calculate b(f). -4 Let x(c) = 18*c - 1. Let j(l) = 2*l - 12. Let n be j(7). Let t be (-2 - 0/(n - -1))/2. Determine x(t). -19 Let h = 2969 + -2963. Let r = -10 - -16. Let g(y) = -y + 5 + r*y - y**2 + y. Calculate g(h). 5 Let u(s) = s - 2. Let t be u(4). Let b(j) = 7 + 0 + 3*j - t - 4*j. Let g(a) = -a**2 + 10*a - 16. Let r be g(2). Determine b(r). 5 Let h(r) = -r**3 - r - 1. Suppose -1 - 1 = -2*g. Let s(n) = 4*n**3 + 4*n**2 + 5*n + 5. Let o(q) = g*s(q) + 5*h(q). Let l be (5/15)/(2/24). Calculate o(l). 0 Let k(g) = -g + 1. Let u be (3 + -1)*(-1)/2. Let b(n) = 11*n + 10*n**2 - 8*n - 8*n + 3. Let v(o) = u*b(o) + 4*k(o). What is v(-1)? -10 Let l = 1128 + -1128. Let x(z) = -2*z + 22. Determine x(l). 22 Suppose 5*c - 5 = 2*s, -6*s = -3*s + 2*c - 21. Suppose 42 = -s*f + 12*f. Let b(v) = v**2 - 5*v - 6. Determine b(f). 0 Let o be 3/(-1) - (2 - 7). Suppose -4*m = 2*w - 8, o*w - 17 = -0*w - m. Let z(s) = -s - w + 2 + 2 + 3*s. What is z(4)? 2 Let p(o) be the second derivative of o**5/20 + 5*o**4/12 + 2*o**3/3 - o**2 + 26*o. Calculate p(-5). -22 Let d(k) = k - 4*k - 5 + 16 - 9 + 2*k. Calculate d(5). -3 Let m = -446 + 440. Let t(i) = -i**2 + 7. Determine t(m). -29 Let k(v) be the second derivative of v**5/20 - 5*v**4/12 + v**3/6 + 2*v**2 + 220*v. Give k(3). -11 Let r(d) = 5*d - 5*d + 4*d**2 + d - 5*d - 1 - d**3. Give r(5). -46 Suppose 0 = -3*d - 7 + 13. Let u(i) = 3*i - 6*i**2 - 2*i**3 + 7 + d*i**3 + i + i**3. Determine u(5). 2 Let f(a) = -a**3 - 6*a**2 + 10*a + 10. Let u(g) = -g**3 - 3*g**2 + 9*g - 10. Let i be u(-6). Suppose -4*v + 16 = i. Determine f(v). -11 Let s(g) = 5*g + 9. Let z(p) = 4*p + 8. Suppose -6*m = -8*m + 10. Let d(v) = m*s(v) - 6*z(v). What is d(5)? 2 Suppose 34 - 12 = 11*y. Let i(j) be the third derivative of -1/6*j**4 + 0 - 3*j**2 - 1/3*j**3 + 0*j. Determine i(y). -10 Let l(b) = -10*b**2 - 23*b - 3. Let u be l(-2). Let x(a) = -4*a**2 + 2*a + 3. Let i(o) = -2*o**2 + o + 1. Let t(z) = 5*i(z) - 2*x(z). Determine t(u). -16 Suppose 0*x + 54 = 3*x. Suppose 7*y - 31 = x. Let g(m) = 2*m - 4. What is g(y)? 10 Let x(d) = 2*d - 4. Let a = -88 + 96. Suppose -3*i + a = -1. Give x(i). 2 Let s = -220 + 219. Let q(a) = 6*a**3 - a**2. Determine q(s). -7 Let f(n) = -2*n. Let v(b) = -13*b + 5. Let r(m) = 6*f(m) - v(m). Give r(12). 7 Let p = -250 + 254. Let f(l) = l**2 + 1. Determine f(p). 17 Let y(p) = p**3 + p**2 + p + 1. Let k be y(-1). Let q(v) = k*v + v - 3*v + 24. Let w be q(13). Let l(u) = 4*u + 2. What is l(w)? -6 Let g(l) = -13*l**2 + 6*l - 13. Let w(v) = -2*v**2 - 1. Let m(h) = -g(h) + 6*w(h). What is m(6)? 7 Let p = 590 + -602. Let o(m) = -2*m - 29. Give o(p). -5 Let x(i) be the first derivative of -i**2/2 - 3*i - 133. Determine x(-6). 3 Let f(g) be the first derivative of 1/2*g**2 + 2*g**3 + 1 + 3*g - 1/4*g**4. Let v = -93 + 99. Give f(v). 9 Let o(v) = -v. Let s = -140 - -83. Let g = -55 - s. Determine o(g). -2 Let s(q) = 13*q - 228. Let p be s(18). Let c(h) be the first derivative of 1/3*h**3 + 3/2*h**2 - 4*h + p. Give c(-5). 6 Let w(q) = -q**3 - 5*q**2 - 3*q - 7. Suppose -83 = -2*h + 5*i, 0*h - 4*i - 114 = -3*h. Suppose 8*r + h = -6. Give w(r). 8 Let m(g) = -2 - g**3 + 7505*g - 7510*g + 0 - 5*g**2. Let l be (-7 - -3) + (-2)/(-2). Determine m(l). -5 Let s(r) be the second derivative of -1/12*r**4 + r + 0 + 0*r**2 - 5/6*r**3. What is s(-5)? 0 Let r be (66/(-99))/(2/36). Let s be ((-7)/(-3))/(8/r - -1). Let y(a) = a**3 - 7*a**2 - 10. What is y(s)? -10 Let s(r) = -2 - 208*r - 200*r - 2*r**3 + 405*r - r**2. Give s(-2). 16 Let v(b) = -3*b + 0*b + 5 + 4*b. Let i be 5 + 0 + -6 - -7. Let m be (4*2 - i/2)*-1. What is v(m)? 0 Let r(z) = -23*z - 43. Let o(f) = -13*f - 22. Let w(n) = -5*o(n) + 3*r(n). What is w(-5)? 1 Let r(h) = 6 + 21*h + 22*h - 63*h + 24*h. Give r(-6). -18 Let p = -266 - -264. Let n(g) = 7*g. Determine n(p). -14 Let y(j) = -3*j**2 + 4*j**2 + 2*j - 3 + 0*j + 0. Let g(k) = -4 - 7*k**2 + k - 7 + 8 + k**3 - 1. Let c be g(7). Calculate y(c). 12 Let a(s) be the second derivative of s**5/10 - s**4 + s**3/6 - 4*s**2 + 277*s. Give a(6). -2 Suppose -10 = -2*r + 4*w + 2, 3*w = -15. Let x be ((-18)/3)/(3/((-6)/r)). Let d(v) = v**2 + v - 3. Give d(x). 3 Let u be (-36)/(-7) + (-13)/91 + 4. Let s(h) = -h**3 + 1. Let p(n) = 8*n**2 + 10*n - 1. Let j(m) = p(m) + s(m). What is j(u)? 9 Let x(l) = 2*l**2 + l + 1. Suppose 0 = -3*b + 2*s - 2, -b + 3*b = s. Give x(b). 11 Let w = 5 - -1. Let q(d) = -11*d**3 - 7*d**2 + 14*d - 21. Let k(g) = 13*g**3 + 7*g**2 - 15*g + 23. Let m(x) = 6*k(x) + 7*q(x). Calculate m(w). 3 Let h(v) = -v + 3. Let m be -39 + 13 + 2/2. Let c = m - -21. Let o(s) = 2*s + 12. Let d be o(c). What is h(d)? -1 Let n(o) = -3*o + 4. Suppose 2*a + 4*d = d + 162, d - 154 = -2*a. Let y = 79 - a. What is n(y)? -8 Let u be (216/(-42))/((-6)/21). Let y(j) = -21*j + u + 11*j + 9*j. What is y(0)? 18 Let r(c) = 67*c**3 + 2*c**2 - 3*c**2 - 65*c**3 + 4*c**2. Give r(-2). -4 Suppose 18 = 2*s - 5*d, 0 = s - 0*s - 5*d - 19. Let z(p) be the second derivative of p**3/6 + p**2/2 + 32*p - 5. Give z(s). 0 Let l(y) = -7*y - 2. Suppose 5*q - 126 = -11. Suppose 4*k + q = 11. Give l(k). 19 Let g(z) = -4*z. Suppose 0 = -4*i + 3*i + 3. What is g(i)? -12 Let y(j) = j - 6. Let w be 1/(-4) + (-9)/(-4). Let r(c) = -2 - c + c**2 - 6 - 7 + 17. Let t be r(w). What is y(t)? -2 Let i(n) = -n**3 + 7*n**2 - 7*n + 7. Let w(v) = -v + 11. Let z be w(14). Let s = z - -9. Determine i(s). 1 Let q(c) = -6*c - 23. Let a(h) = -12*h - 38. Let n(w) = -3*a(w) + 5*q(w). Let l = 6 - 4. What is n(l)? 11 Let i(w) = w - 6. Let d(v) = v - 8. Let p be d(11). Suppose -8 = -p*n + 4. Determine i(n). -2 Let h(z) be the first derivative of -5*z**2/2 + 2*z + 92. Determine h(-1). 7 Let t be 0/(13 - 25 - -10). Let y(z) = -z**3 + 2*z + 39. Calculate y(t). 39 Let j(o) be the third derivative of o**6/360 - 7*o**5/120 + 2*o**4/3 + 7*o**2. Let r(y) be the second derivative of j(y). What is r(8)? 9 Suppose -100 = -0*b - 5*b. Let h(g) = b - 22 + 5*g - 3*g. Determine h(3). 4 Let b(r) = r**3 - 4*r**2 - 2*r + 2. Let j be ((-2)/(-4))/(1/1376). Let w be j/(-68) + (-4)/(-34). Let a be 5/(w/(-6))*1. Wha
{ "pile_set_name": "DM Mathematics" }
the second derivative of 26*k**2*v**4 - 2*k**2*v*z**2 + 83*k*v**3*z**2 + 891*v*z**2 wrt v. 312*k**2*v**2 + 498*k*v*z**2 What is the third derivative of 19*i**3*l**3*m - 58*i**3*l**3 - i**3 - 111*i**2*l**3*m + 56*i**2*l wrt i? 114*l**3*m - 348*l**3 - 6 What is the third derivative of -74*r**6 - 555*r**2? -8880*r**3 What is the third derivative of 697*w**3 + 32*w**2? 4182 What is the first derivative of 824*j**4 - 503 wrt j? 3296*j**3 What is the second derivative of 73*s*w**2 + 22*s*w - 4*w**2 + 9*w wrt w? 146*s - 8 What is the second derivative of 3*s**3*z**2 - 295*s**3*z - 818*s*z**3 + 30*z wrt z? 6*s**3 - 4908*s*z Find the third derivative of -6670*f**4 - 2088*f**2 wrt f. -160080*f What is the third derivative of 7*c**3*g*r**2 - 10*c**3*g*r - 2*c**3 - 5*c**2*g*r**2 + 2*c**2*r**2 - 2*c*r**2 + 5*r**2 wrt c? 42*g*r**2 - 60*g*r - 12 Find the third derivative of -17477*k**3 - 9069*k**2 wrt k. -104862 Find the second derivative of -15*r**5*y**2 - 12*r**3*y**2 + 3*r*y**2 - 1118*r*y wrt r. -300*r**3*y**2 - 72*r*y**2 What is the third derivative of -3*p*z**4 + 2*p*z**3 - 29*p*z - 2*p + 3*z**4 - z**2 wrt z? -72*p*z + 12*p + 72*z Find the second derivative of 321*x**2 + 139*x wrt x. 642 Find the second derivative of 3*c**3 - 2*c**2*p*s - 10*c**2 + 4*c*s + c - 3*p*s wrt c. 18*c - 4*p*s - 20 Find the second derivative of -4*a**3*m**2 - 6*a**2*m**3 - 12*a**2*m**2 + 3*a*m**3 - 4*a*m**2 + 10*a wrt a. -24*a*m**2 - 12*m**3 - 24*m**2 Differentiate -2*c*o*q**2 - c*o - 82*c - 102*o*q**3 + 2*o*q**2 with respect to q. -4*c*o*q - 306*o*q**2 + 4*o*q What is the third derivative of -810*p**3 + 758*p**2? -4860 What is the third derivative of 6*g*t**2 + 2*g*x**3 - 29*g*x**2 - 2*g - t**2*x**3 - t*x**2 - 221*x**3 wrt x? 12*g - 6*t**2 - 1326 Differentiate 130*p**3 + 139 with respect to p. 390*p**2 Find the third derivative of -4077*a*h**3*p**2 + a*h*m*p**2 + 2*a*h - 249*a*m*p - 2*h**3*m**2*p**2 - h**2*m**2*p**2 + 3*h**2*m**2*p wrt h. -24462*a*p**2 - 12*m**2*p**2 What is the third derivative of 2*g*j*v*y**3 + g*j*v*y**2 + 2*g*v*y**3 + 2*j*v*y + 2*j*v - 59*j*y**3 - v*y**2 wrt y? 12*g*j*v + 12*g*v - 354*j What is the third derivative of 4151*q**6 + 4414*q**2 wrt q? 498120*q**3 Find the third derivative of 15*h**3 - 1194*h**2. 90 Find the first derivative of 6*f**3*g**2*h - 17350*f**3*h + 6*f**2*g*h + f*g**2 wrt g. 12*f**3*g*h + 6*f**2*h + 2*f*g Find the second derivative of 34*g**3*h**2 - g**3 - 2*g**2*h**2 + 74*g*h**2 + 2*g - h + 43 wrt h. 68*g**3 - 4*g**2 + 148*g Find the second derivative of 2601*i**2*o**2 - 2*i**2 + 37*i - 38*o**2 wrt i. 5202*o**2 - 4 What is the first derivative of 2*c**2*n**2 - 155*c**2 + 57*c*n**3 wrt n? 4*c**2*n + 171*c*n**2 What is the first derivative of k*l*y - 19*k*l + 23*k*y - 3*l*y + 4 wrt l? k*y - 19*k - 3*y Differentiate 54*k**3*t**2 + 231*k**3 - 2*k**2*t**2 - k*t**2 wrt t. 108*k**3*t - 4*k**2*t - 2*k*t What is the third derivative of 4830*b**4 - 3*b**2 + 3*b - 35? 115920*b What is the second derivative of 37*a*q**3*t + 34*a*t**2 - a*t - 3*q**3*t**3 - 2*q**3 + 4*q*t + 2*t**5 wrt t? 68*a - 18*q**3*t + 40*t**3 What is the derivative of -109*x**4 + 298 wrt x? -436*x**3 What is the first derivative of -215*r**2 - 4*r - 755 wrt r? -430*r - 4 What is the third derivative of 947*y**4 + y**3 - 146*y**2 + 27 wrt y? 22728*y + 6 What is the third derivative of -2*d**3*f*p - 798*d**3*o**2*p + 44*d**2*f*o**2*p - 5*d**2*f*o + 2*d**2*o**2*p + d*f*o**2 wrt d? -12*f*p - 4788*o**2*p What is the derivative of -841*s**3 - 249 wrt s? -2523*s**2 Find the second derivative of -2*m**2*x**3 + m**2*x**2 + m**2*x - 27*m**2 - 35*x**2 wrt x. -12*m**2*x + 2*m**2 - 70 Differentiate -141*d**2*s**2 + d*s**2 - d*s*x - 2*d*s + 21*s**2 - 3*s*x + x with respect to d. -282*d*s**2 + s**2 - s*x - 2*s What is the second derivative of -2*g**3*v**3 + 2*g**2*n - 16*g**2*v**3 + g**2 + g*n*v**3 - g*n*v + 19*n*v**2 wrt g? -12*g*v**3 + 4*n - 32*v**3 + 2 Differentiate -4*g**3*y + 82*g*y**3 + 36*y**3 + y**2 - 15*y wrt g. -12*g**2*y + 82*y**3 What is the second derivative of -3*c**2*y**2 - 42*c**2*y - 6*c**2 + 86*y**2 wrt y? -6*c**2 + 172 What is the first derivative of -7*f**2*j*v + f**2*v + 1566*f**2 + 23*f*j*v - f*j - 2*v wrt j? -7*f**2*v + 23*f*v - f What is the second derivative of -2*k**2*s**3 - 89*k**2*s + k**2 + 2*k*s + 105*s**5 wrt s? -12*k**2*s + 2100*s**3 What is the second derivative of 130*b**5*y**2 + 2*b*y**2 - 2*b*y - 10*y wrt b? 2600*b**3*y**2 What is the derivative of -2*p**3*s - 7*p**3 + 1938*p**2*s*u - 6*p**2*u + 4*p wrt s? -2*p**3 + 1938*p**2*u What is the derivative of -2297*a**2*j*o - 13*a**2*j - 12*a**2 - 2*a*j - 2*a*o - 2*j wrt o? -2297*a**2*j - 2*a What is the third derivative of -2*g**6*w - 3198*g**5*w - 316*g**2 - 6*g*w wrt g? -240*g**3*w - 191880*g**2*w Find the second derivative of 518*w**3 + 646*w wrt w. 3108*w What is the third derivative of -6*p*r**3*u**2 - 6*p*r**3 - p*r**2*u - 8*p*r*u**2 + 2*p*r + r**2 wrt r? -36*p*u**2 - 36*p Find the third derivative of 115*l*m**3*v**3 - 7*l*m**3*v**2 + 21*l*m**3 + 4*l*m*v**3 + 2*l*m wrt v. 690*l*m**3 + 24*l*m Find the second derivative of 694*j**5 - 6*j + 17. 13880*j**3 What is the derivative of 2*j**4 - 151*j - 69 wrt j? 8*j**3 - 151 Find the third derivative of 497*u**5 - 4*u**2 + 314*u. 29820*u**2 Find the second derivative of 1464*q**2*y - 3*q*y - q + 29 wrt q. 2928*y What is the second derivative of -11*n**2*o*s + n**2*s + 9*n*o*s - n*o - 7*o*s wrt n? -22*o*s + 2*s Find the second derivative of -277*k**4 + 220*k. -3324*k**2 Find the third derivative of 1030*v**3 - 1151*v**2. 6180 What is the second derivative of 104*l**3 + l - 1 wrt l? 624*l What is the third derivative of -440*y**4 + 719*y**2? -10560*y What is the first derivative of 61*l - 105 wrt l? 61 Find the first derivative of 71*b*r**2 - b*r - 172*b wrt r. 142*b*r - b Find the second derivative of -219*z**4 + 326*z + 1. -2628*z**2 What is the second derivative of k**5 - 3*k**4 - 1395*k**2 - 2208*k + 2 wrt k? 20*k**3 - 36*k**2 - 2790 What is the third derivative of 3391*o**3 - 2149*o**2? 20346 Find the first derivative of 149*u**2 - 3*u - 787 wrt u. 298*u - 3 Find the third derivative of 2*h**3*m**3 + 50*h**3*m*q - 11*h**2*m**2 + h**2*m - 5*m**3 - 2*m*q wrt h. 12*m**3 + 300*m*q What is the third derivative of -194*k**3 + k**2 - 102*k? -1164 Differentiate -397*q*u**3 + q*u - 962*q with respect to u. -1191*q*u**2 + q Find the second derivative of 7957*d**5*f + 2*d**4*f + 2*d - 29*f - 3 wrt d. 159140*d**3*f + 24*d**2*f Find the third derivative of -233*g**3 + 91*g**2. -1398 What is the third derivative of -16*g**3*r**3 - 3*g**3*r + 43*r**2 wrt r? -96*g**3 What is the derivative of -1449*g**4 + g**2 + 2193? -5796*g**3 + 2*g What is the third derivative of -274*i*w**5 - i*w - w**5 + 2*w**2 - 68*w wrt w? -16440*i*w**2 - 60*w**2 Find the third derivative of 1847*v**3*y**2 - 448*v**2*y**2 - 4*v*y**2 wrt v. 11082*y**2 Differentiate -3*d**3*s**2*v - 53*d**3 - 45*s**2*v - 2*v with respect to d. -9*d**2*s**2*v - 159*d**2 What is the second derivative of 314*p**3 + 17*p + 13 wrt p? 1884*p Find the first derivative of -3*c**3 - 571*c**2*h - 2934*h wrt c. -9*c**2 - 1142*c*h What is the third derivative of 97*g*j**4 + g*j**3 - 96*g + 2*j**2 wrt j? 2328*g*j + 6*g Find the third derivative of -15*c*d*k**3 + 43*c*d*k**2 - c*d*k - 5*c*k**4 + d*k**3 - k**2 wrt k. -90*c*d - 120*c*k + 6*d Differentiate -386*i**4 + 2*i**2 - i + 9941. -1544*i**3 + 4*i - 1 What is the second derivative of -2*r**5 - 88*r**2 - 683*r wrt r? -40*r**3 - 176 Find the second derivative of 6*g**2*r**4 - 147*g**2*r - 2*g**2 + 52*r**4 wrt r. 72*g**2*r**2 + 624*r**2 Find the third derivative of 102*j**6 - 160*j**2. 12240*j**3 What is the second derivative of m**5 + 188*m**4 - 2*m - 181? 20*m**3 + 2256*m**2 Differentiate 7*f**2*n**2*r - 2*f**2 + 29*f*r - n**3 + n*r wrt n. 14*f**2*n*r - 3*n**2 + r Find the second derivative of 13*f*k**2 + 1575*f*k + 40*k**5 wrt k. 26*f + 800*k**3 Find the third derivative of -587*a**3*y**2 + 2*a**2*y**2 + 6*a**2*y - 6*a*y**2 + 13 wrt a. -3522*y**2 What is the derivative of -221*p*u**2 + 217*p - 9*u**3 + 21 wrt u? -442*p*u - 27*u**2 What is the derivative of -18*o**3 + o**2 + 481? -54*o**2 + 2*o Find the second derivative of 2*w**5 + 1372*w**3 + 1534*w - 1 wrt w. 40*w**3 + 8232
{ "pile_set_name": "DM Mathematics" }
vative of v(b) wrt b? -2520*b**3 Let c(d) be the second derivative of d**8/28 - 4*d**4/3 + 11*d. Find the third derivative of c(q) wrt q. 240*q**3 Let k = -9 + 9. Find the third derivative of 4*u**2 - 2*u**4 + u**2 + k*u**2 - u**2 wrt u. -48*u Let z(p) be the first derivative of -p**5/60 - 4*p**3/3 - 5*p**2 - 1. Let h(v) be the second derivative of z(v). Find the first derivative of h(w) wrt w. -2*w Suppose 0 = 4*p + 5*i - 2, 3*p + 0*p + i = 7. Let s(u) = -u - 2. Let y be s(-5). What is the third derivative of -4*g**y + 2*g**2 + g**p + g**3 wrt g? -12 Let q = 42 + -39. Let a(t) be the first derivative of 1 + 0*t**2 + 3/4*t**4 + 3*t + 0*t**q. What is the first derivative of a(d) wrt d? 9*d**2 What is the derivative of -6*y**4 - 16 - y**4 + 1 wrt y? -28*y**3 Suppose d - 4*d = 27. Let w(t) = t**2 + 9*t + 4. Let s be w(d). What is the second derivative of s*g**3 + 2*g - 5*g**3 + 4*g**3 wrt g? 18*g Let m(y) be the third derivative of 7*y**6/120 - 2*y**3/3 + 6*y**2. What is the first derivative of m(l) wrt l? 21*l**2 Let f(p) be the third derivative of 0*p + 0*p**4 + 2*p**2 + 0 + 1/40*p**6 + 0*p**5 - 1/2*p**3. What is the derivative of f(x) wrt x? 9*x**2 Let k(t) = -2*t**2 + 5*t + 1. Let u(d) = -d**2 + d. Let n(m) = k(m) - u(m). Let j be n(3). Differentiate -2*q**4 - 3*q**4 + j*q**4 + 2 wrt q. -4*q**3 Let d = -2 + 2. Let h(q) be the first derivative of -1 + 0*q**4 - q**2 + d*q + 0*q**3 + 2/5*q**5. Find the second derivative of h(o) wrt o. 24*o**2 Let r = -1 + 4. Let b be 1 + (2 - -1)/r. What is the third derivative of -3*t**5 + 2*t**2 - t**2 + 2*t**2 - b*t**2 wrt t? -180*t**2 Find the second derivative of -19*k + 41*k - 5*k**3 - 20*k wrt k. -30*k Let n(v) = -6*v**2 + 4*v + 5. Let o(i) = 18*i**2 - 12*i - 16. Let y(c) = -16*n(c) - 5*o(c). Find the second derivative of y(f) wrt f. 12 Let x(l) = 3*l - 3. Let a be x(2). Find the third derivative of 3*b**2 + 3*b**a + 5*b**3 - 5*b**2 - 5*b**3 wrt b. 18 Let k(z) be the third derivative of -z**10/25200 + z**6/144 - z**5/30 - 8*z**2. Let f(b) be the third derivative of k(b). Differentiate f(w) with respect to w. -24*w**3 Let v(r) be the third derivative of -r**8/84 + r**4/8 - 4*r**2. What is the second derivative of v(i) wrt i? -80*i**3 Let l = -18 + 27. Suppose -3*i = -0*i - l. Find the third derivative of i*p**2 + p**5 + 10*p**3 - 10*p**3 wrt p. 60*p**2 Let h(s) = 7*s**2 - 13. Let b(c) = -15*c**2 + 26. Let y(l) = 4*b(l) + 9*h(l). Differentiate y(g) with respect to g. 6*g Find the second derivative of -9*a + a + 0*a**2 + 2*a**2 wrt a. 4 Let r(u) = -u**3 - u - 1. Let x(f) = 16*f**3 + 6*f + 7. Let v(z) = 6*r(z) + x(z). Differentiate v(q) with respect to q. 30*q**2 Let z(s) = 12*s**5 + 3*s**4 + 4*s**2 - 3. Let g(l) = 23*l**5 + 5*l**4 + 8*l**2 - 5. Let o(b) = 3*g(b) - 5*z(b). What is the third derivative of o(m) wrt m? 540*m**2 Suppose -2*m + 18 = 2*h, 0*m + 3*m - 2*h = 2. What is the derivative of 19*z - 7*z + 4 - 12*z + 7*z**m wrt z? 28*z**3 Let v = -3 + 6. Suppose -4*m + 3 = -5. What is the third derivative of -h**2 + 3*h**v + h**2 - h**m wrt h? 18 Suppose -2*u + 1 + 0 = h, -3*u - 4*h - 11 = 0. What is the second derivative of 4*k - k**2 - u*k**2 + k**2 wrt k? -6 Let c(r) be the third derivative of 0*r**6 - 1/168*r**8 + r**2 + 0*r**5 - 1/24*r**4 + 0 + 0*r**7 + 0*r**3 + 0*r. What is the second derivative of c(y) wrt y? -40*y**3 What is the derivative of -35 + 23*m - 8*m - 5*m + 38*m wrt m? 48 Find the second derivative of 3*f - 2*f**2 + 4 - 4 - 12*f wrt f. -4 Suppose 0 = 3*j - 0*j - 12. Suppose -2*y + j*k + 4 = 3*k, 0 = -5*y - k + 10. Find the second derivative of -y*v**3 + 5*v**3 - 3*v**3 + v - v**4 wrt v. -12*v**2 Let z(r) = r - 4. Let t = 17 - 8. Let k be z(t). Find the third derivative of -2*n**k - n**2 - n**2 + n**5 wrt n. -60*n**2 Suppose 0 = -5*r - 5*p + 122 + 38, 5*r - 2*p = 174. Find the third derivative of -a**6 + r*a - 34*a - 5*a**2 wrt a. -120*a**3 Let v(m) = -2*m**3 - 3*m**2 + 1. Let z be v(-2). Suppose 0 = -3*k + 6 - 3, -2*a + z*k = -3. What is the second derivative of 4 - 2*d**2 - a + d wrt d? -4 Let t(k) = -28*k**4 + 5*k**3 + 5*k - 5. Let n(p) = -42*p**4 + 8*p**3 + 7*p - 8. Let l(b) = -5*n(b) + 8*t(b). What is the second derivative of l(i) wrt i? -168*i**2 What is the second derivative of -10*s - 57*s**3 - 16*s + 45*s**3 wrt s? -72*s Let z(g) = 21*g**4 - 2*g**3 - 19. Let s(k) = -20*k**4 + 3*k**3 + 20. Let b(r) = -2*s(r) - 3*z(r). Differentiate b(a) wrt a. -92*a**3 Let u(f) = 5*f + 3. Let h(n) = -10*n - 6. Suppose -5*i - 34 = -p, -5*i - 29 = -3*p + 3. Let o(b) = i*u(b) - 3*h(b). What is the derivative of o(s) wrt s? -5 Let r(m) = -9*m**3 + 13*m**2 + 3*m + 3. Let s(u) = -26*u**3 + 38*u**2 + 8*u + 8. Let h(l) = 8*r(l) - 3*s(l). Find the third derivative of h(j) wrt j. 36 Suppose -c + 197 = v + 3*v, 230 = 5*v - 2*c. What is the third derivative of -9*a**4 + 4*a**2 + v - 48 wrt a? -216*a Let f be 13/2 + 12/(-8). Let x = f - -3. What is the derivative of -8*o - 2 + x*o + 2*o**3 wrt o? 6*o**2 Let f(h) be the first derivative of -46*h**3/3 - 2*h**2 + 7. What is the second derivative of f(g) wrt g? -92 What is the third derivative of -10*q**3 - 10*q**3 + 57*q**2 + 2*q**3 wrt q? -108 Let a(r) = 11*r**5 + 3*r**4 - 2*r**2 - 3*r + 1. Let d(w) = -w**5 - w**4 + w**2 + w. Let k(y) = -a(y) - 3*d(y). Find the third derivative of k(i) wrt i. -480*i**2 What is the first derivative of -30*c + 6*c**2 + 14*c + 16*c - 5 wrt c? 12*c Find the second derivative of 11*v**5 + 16*v - 9*v**5 - 14*v**5 wrt v. -240*v**3 Let i(l) be the third derivative of 7*l**5/60 - l**3/2 + 8*l**2. Find the first derivative of i(h) wrt h. 14*h Let a = -16 + 14. Let u(p) = p**4 + p**3 + 1. Let l(r) = 8*r**4 + 9*r**3 + 2*r**2 + 9. Let d(x) = a*l(x) + 18*u(x). What is the third derivative of d(z) wrt z? 48*z Let n(y) be the third derivative of y**8/280 - y**4/8 + y**3/3 - 4*y**2. Let z(a) be the first derivative of n(a). Differentiate z(d) with respect to d. 24*d**3 Let w(v) be the third derivative of -v**7/42 - v**4/3 - 5*v**2. What is the second derivative of w(b) wrt b? -60*b**2 Let a(n) be the first derivative of 12*n**5/5 + 9*n**2/2 + 10. What is the second derivative of a(h) wrt h? 144*h**2 What is the second derivative of -12*g - 3*g + 68*g**3 - 51*g**3 wrt g? 102*g What is the second derivative of 5*g + 7*g + g**5 - 19*g + g**5 wrt g? 40*g**3 Let y(z) be the second derivative of -z**5/4 - 11*z**3/6 - 8*z. Find the second derivative of y(l) wrt l. -30*l Let i(j) be the second derivative of -3*j**5/5 - 7*j**4/12 + 24*j. Find the third derivative of i(d) wrt d. -72 Let t(h) = -h**2 + 5*h + 2. Let g be t(5). Find the third derivative of 5*m**g + 2*m**4 - 2*m**4 - 5*m**4 wrt m. -120*m Let t(d) be the first derivative of -7*d**6/30 + d**2/2 - 3*d + 3. Let a(b) be the first derivative of t(b). Find the first derivative of a(l) wrt l. -28*l**3 Find the third derivative of -26*g**4 + 37*g**4 - 39*g**4 + 39*g**2 wrt g. -672*g Let z = -1 - -3. What is the second derivative of z*s**4 - 12*s**3 - s + 12*s**3 wrt s? 24*s**2 Let p(o) = -13*o**2 + 4*o - 5. Let h = -3 - 2. Let v(t) = 6*t**2 - 2*t + 2. Let g(c) = h*v(c) - 2*p(c). What is the second derivative of g(b) wrt b? -8 Let j(c) = 6*c - 1. Let s(h) = -h**2 + 1. Let i(y) = -j(y) - s(y). What is the second derivative of i(l) wrt l? 2 Let h(a) = -a**3 - a + 1. Let p(n) = 30*n**4 + 6*n**3 - 7*n**2 + 6*n - 6. Let l(z) = 6*h(z) + p(z). What is the third derivative of l(d) wrt d? 720*d Let s(k) = -35*k**4 - 11*k**3 - 11*k**2 - 6. Let q(v) = 12*v**4 + 4*v**3 + 4*v**2 + 2. Let d(p) = -11*q(p) - 4*s(p). What is the first derivative of d(z) wrt z? 32*z**3 Suppose -3*n + 7 = -8. Find the second derivative of 4*q**2 - q + n*q + 2*q wrt q. 8 Let u(l) = -l**3 - l**2 + 1. Let m(q) = 2*q**3 + 3*q**2 - 4. Let a be 1 - 0*(-3)/(-6). Let w(d) = a*m(d) + 3*u(d). Differentiate w(r) with respect to r. -3*r**2 Let r(f) be the second derivative of 5*f**8/56 - f**4/4 + 7*f. Find the third derivative of r(s) wrt s. 600*s**3 What is the second derivative of -27*h - 106*h**3 + 35*h**3 + 26*h**3 + 31*h**3 wrt h? -84*h Let n = 1 + 1. Let f be n*3/(-6) + 19. Let u(y) = 5*y**2 - 13*y. Let s(i) = i**2 - 3*i. Let k(h) = f*s(h) - 4*u(h). Find the second derivative of k(l) wrt l. -4 Let u(o) be the third derivative of o**9/36 + 2
{ "pile_set_name": "DM Mathematics" }
s c(g)? -4 Let b(t) = 5*t**2 - 5*t. Let n(c) = 4*c**2 - 5*c. Let m(j) = -3*b(j) + 4*n(j). Give m(4). -4 Let y(i) = i + 12. Let l(z) = z**3 - 7*z**2 + 3*z + 8. Let o be l(6). Calculate y(o). 2 Let c(u) = -1 + 5 - 5*u - 3 + u. What is c(2)? -7 Let h be 1/(-12) + (-6)/(-36). Let f(g) be the third derivative of -1/60*g**5 + 0 - h*g**4 + 1/3*g**3 + 0*g - 3*g**2. Calculate f(-4). -6 Let b(s) = -s**3 + 3*s**2 + 4*s + 3. Let g be -1 - 66/(-54) - (-34)/9. Determine b(g). 3 Let b(m) = -7*m - 6*m**2 + m**2 + 6*m**2 + 5. Give b(7). 5 Let y(u) = u - 12. Let i(s) be the third derivative of -s**6/120 + 7*s**5/60 + s**4/24 - s**3/6 - s**2. Let b be i(7). What is y(b)? -6 Let i(h) = -h**3 - 5*h**2 - 6*h - 6. Let j(z) = -1. Let n(x) = x - 13. Let u(s) = -3*j(s) + n(s). Let y be u(6). Calculate i(y). 2 Let s(j) be the first derivative of j**3/3 - 7*j**2/2 - j - 13. Calculate s(7). -1 Let y = -17 + 18. Let c(t) = 4*t + 2. Let x(f) = -f - 1. Let o(i) = c(i) + 3*x(i). Determine o(y). 0 Let f(o) = o**2 - 9*o + 10. Let a be f(8). Let p(y) = -1 - 6*y**2 - y**3 + 5 + 0*y**a - 3*y + 2*y**2. Give p(-3). 4 Suppose v + 6 = -4*j, 5*j + 4 + 6 = 0. Let q(m) = -6 + m**2 - m + v + 2*m. Suppose -5*c + 5*r - 7 = 13, -12 = c - 3*r. Calculate q(c). -4 Let w(l) = l**3 - 2*l**2 - 6*l + 1. Suppose -o + 6 = 2. What is w(o)? 9 Let a(v) = -v**3 - v**2 + 2. Let c be a(-2). Let x(m) = m**3 + 2*m + 6 + 2 - c - 4*m**2 - m**2. Calculate x(3). -10 Let y(v) = v**3 - v**2 + v. Let n(h) = 7*h**3 - 13*h**2 + 12*h + 3. Let a(g) = n(g) - 6*y(g). Calculate a(6). 3 Let m be (-3)/(-2)*4/(-2). Let n(p) be the third derivative of -5*p**4/24 - p**3/3 + p**2. Calculate n(m). 13 Let p(c) be the second derivative of c**4/12 + 5*c**3/6 + c. Suppose -8*q + 2*q = 30. Determine p(q). 0 Suppose 2 = -5*n - 13. Let y = n - -2. Let w(g) be the third derivative of g**5/30 - g**4/24 - g**3/6 - 6*g**2. Calculate w(y). 2 Suppose -u + 7*u - 24 = 0. Let l(k) = 2*k - 2. Determine l(u). 6 Let u(c) = c**2 - 4. Let q be u(-3). Suppose 16 = -3*v - 2*z, q*v + 3*z + 22 = v. Let x(n) = -n**2 - 4*n - 4. Give x(v). -4 Let i(t) = t - 4. Let z = 15 - 7. Let q = 0 - z. Let h be 2/3 + q/(-6). Give i(h). -2 Suppose -31 = -5*s - 6. Suppose s*g + 0*g = 0. Let z(x) = -x**2 + 4. Give z(g). 4 Suppose 0 = 2*t + 5*t - 42. Let b(s) = 2*s - 6. Calculate b(t). 6 Suppose 4*u + 3*x - 17 = 0, -x = 2*u + x - 10. Let n(m) = -m + u*m - 2 + m**3 - m**2 - 2*m. Suppose 2*r - 3 + 7 = 0. Determine n(r). -12 Let k(c) = 2*c. Suppose -q - 3*q + 40 = -4*b, -b = 5*q - 26. Let a(l) = l - 7. Let y be a(q). Give k(y). -2 Suppose -6*j = -j + 2*q + 10, -j = -3*q + 19. Let l(i) = -i**2 - 5*i + 2. Calculate l(j). 6 Let w(b) = 11*b**2 - 2*b + 12. Let i(m) = -5*m**2 + m - 6. Let f(s) = 13*i(s) + 6*w(s). Calculate f(-6). 24 Let y(s) = -s**3 - 4 + 3*s**3 + s**2 - 5*s - 6*s**3 + 5*s**3. Calculate y(-3). -7 Let u(y) = -3*y. Let p(k) = 4*k + 1. Let h(d) = 3*p(d) + 2*u(d). Calculate h(3). 21 Let x(t) be the first derivative of 7*t**2/2 - 1. Let w(v) = -v**2 - 4*v - 1. Let n be w(-3). Suppose n = -0*k + 2*k. Determine x(k). 7 Suppose 3*n + 2*a = a, 4*n = 2*a. Let w = n + -1. Let y(r) = 4*r**2 + r + 1. What is y(w)? 4 Let z(d) be the second derivative of d**5/20 + d**4/3 - d**3 - 3*d**2 + 10*d. Let k(o) = 2*o + 1. Let u be k(-3). Give z(u). -1 Suppose -8*i + 4*i + 20 = 0. Let v(o) = 4 + o**2 - 8 + 3*o + i - 2*o. Calculate v(-1). 1 Let u(l) = 2*l - 1. Let t(i) = 2*i - 8. Let p be t(5). Calculate u(p). 3 Let h(t) = 4*t - 11*t + 2*t**2 + 1 - t - t**2. What is h(7)? -6 Let z(h) be the second derivative of -2*h**3/3 - h. Let q = -14 - -10. Let g = q - -5. Determine z(g). -4 Let s(n) = 2*n - 4. Let a be s(3). Let q(x) = x**2 + 0*x**2 + 2*x**a. Suppose -11 = -i + 5*i + 5*k, -4*i + 5*k = -19. What is q(i)? 3 Let s(b) = -3*b - 1. Let j(r) = -9*r - 3. Let q(p) = 2*j(p) - 7*s(p). What is q(3)? 10 Suppose c = 2*c - 6. Suppose 4*i + c = -6. Let v(o) = -2*o**2 - 5*o - 3. Determine v(i). -6 Let h(c) = -5 - 2*c - 3*c**2 - 5*c + c**3 + 3*c. Give h(4). -5 Let t(z) = z**2 - 2. Let g be t(2). Suppose 0*c = 4*c - 8. Let o(w) = -g*w + c*w - w. Determine o(3). -3 Let h = -91 - -95. Let u(t) be the second derivative of -t - 1/6*t**3 - 1/2*t**2 + 1/12*t**h + 0. Give u(2). 1 Suppose -5*o + 5 = 5*q, 2*q - 4*q - o = 0. Let h(s) = -3*s**2 + s. What is h(q)? -4 Let f(m) = -m - 7. Let g = -20 - -12. Let a be f(g). Let z(x) = -x**2 - 2*x + 1. Determine z(a). -2 Let d(y) = 5*y**2 + 2*y - y**3 - 2 + 5 - 7. Give d(5). 6 Let x = 1 + -7. Let t(p) = -5*p**3 + 4*p**3 - 6*p**2 - 1 + p + 4. What is t(x)? -3 Let p(g) = -g - 9. Let h be p(-7). Let n(b) = b**3 - b**2. Let s(a) = 7*a**3 - 4*a**2 - 2*a - 1. Let w(u) = -6*n(u) + s(u). What is w(h)? 3 Let u be (-6)/(((-18)/4)/3). Let m = 14 - u. Suppose -4*q + m = -2*q + r, q = r + 2. Let w(t) = t**3 - 3*t**2 - 4*t + 5. Give w(q). 5 Let c = 2 - -5. Let r(b) = -9*b**3 - 6*b**2 - 6*b - 5. Let x(s) = 11*s + 17*s**3 + 3*s**3 + 9 - 2*s**3 + 11*s**2. Let v(g) = c*r(g) + 4*x(g). What is v(-1)? -8 Let x(i) be the second derivative of i**7/168 + i**5/60 - i**4/24 - i**3/6 + i. Let a(h) be the second derivative of x(h). Calculate a(1). 6 Let w be (-1)/(-2) + (-28)/8. Let r = w + 5. Suppose r*h - 8 = d, -2 = 3*d + 2*h - 10. Let b(v) = -v**3 + v**2 + v + 4. What is b(d)? 4 Let s be 2 + 0/(1 - 0). Let y(d) = -2 - 2*d - d**s + 5 - 4. Determine y(-2). -1 Let f(b) = -2 - 2 - 3*b - 44*b**2 + 45*b**2. Determine f(3). -4 Suppose 25 = -5*u - 0. Let x(w) = 4*w**2 - 1. Let p be x(-1). Let i(n) = -5*n + 6*n**2 - p*n**2 - 4*n**2 + 4. Calculate i(u). 4 Suppose 3 + 3 = -z. Let o(t) be the second derivative of 3*t - 4*t**2 - 1/3*t**3 + 0. Calculate o(z). 4 Let s be 1/((-8)/(-10))*4. Suppose 4*j - 16 = 0, -s*j + 23 = 5*b - 3*j. Let q(i) = -i - 2. Calculate q(b). -5 Let k(g) be the first derivative of g**3/3 + 2*g**2 - g + 3. What is k(-4)? -1 Let l(u) be the first derivative of u**3/3 + u**2 + 3*u + 2. Suppose 2*m - 4*v = 0, 5*v + 3 = m - 0. Determine l(m). 3 Let y(o) = 6*o - 1. Let a be y(2). Let d(q) = -6*q**2 - 11*q + 21. Let j(i) = i**2 + 2*i - 4. Let s(z) = a*j(z) + 2*d(z). What is s(-3)? -11 Let w = 4 + -4. Suppose w*g + g = 0. Let m(a) be the first derivative of -a**2/2 + 10*a + 6. Give m(g). 10 Let d(s) = -s**2 - s - 1. Suppose 0 = -a - 2*b + 13, -5*a - 23 = 4*b - 58. Determine d(a). -13 Let i(k) be the third derivative of k**5/120 - k**4/8 + 5*k**3/6 - 3*k**2. Let m(z) be the first derivative of i(z). Determine m(6). 3 Let j(z) = 2*z**2 - 1. Let i(o) = 11*o**2 + o - 3. Let b(g) = -i(g) + 6*j(g). Determine b(-4). 17 Let g(m) = m**2 - m. Let w(r) = -6*r**2 - r - 1. Let a(x) = 5*g(x) + w(x). Suppose 5*s + 25 = -5*v, v + 5*s - 2 = -3. Determine a(v). -1 Let q = 10/9 - 11/18. Let o(y) be the second derivative of -1/6*y**3 - 3*y + q*y**2 + 0. Determine o(-5). 6 Let b(a) = 4*a**2 + 10*a. Let h(l) = -l**2 - l + 1. Let y(q) = b(q) + 3*h(q). Determine y(-6). -3 Let q(b) = -b - 4. Let u be q(-6). Let k(f) = -3 + 0*f - 4*f**u + f**3 + 4*f - f + 0*f**2. Let a(d) = -d**3 + 8*d**2 - 6*d - 4. Let c be a(7). Calculate k(c). -3 Let c(b) = b**2 - 7*b - 2. Let w = -54 + 61. Determine c(w). -2 Let q(p) = -3*p**2 - p - 3 - 1 + 4*p**2. Let f(x) = -x**3 - 2*x**2 + 6*x + 5. Let o be f(-4). Suppose o = 3*h - 4*g - 7, -3*h + 18 = -3*g. Calculate q(h). 8 Let h = 19 - 11. Let b be 5/20 + (-2)/h. Suppose -3*c = -b*c, -4*c - 15 = 5*s. Let y(a) = a**2 + 3*a + 4. Determine y(s). 4 Suppose -z - 3 = -2*z. Let d(m) = -3 - z*m + 7 + 4*m. Suppose 5*s + 14 + 1 = 0. Calculate d(s). 1 Let w(z) = z + 6. Let i(y) = -y**3 - 14*y**2 + 5. Let u be i(-14). Calculate w(u). 11 Let z(v) = v**2 - 6*v + 2. Suppose -5*j + 18 = -2. What is z(j)? -6 Let o(t) be the second derivative of -t**4/12 + 2*t**3/3 - t**2 + 7*t - 1. Give o(6). -14 Let r be 3/1 - 0 - -2. Let b(x) = -5 + 4*x + 6*x - 7*x - 2. Give b(r). 8 Let l(t) be the third derivative of t**8/6720 + t**7/504 - t**6/120 + t**5/40 - t**4/12 + 2*t**2. Let h(z) be the second derivative of l(z). What is h(-6)? 3 Suppose -4*x - 4*t = -8, 4*x + 6 = -3*t + 14. Suppose x = -s - 1. Let d(c) = -c + 1. What is d(s)? 4 Let y(m) = -3 + 5 - 1 + 11*m. Let q(c) = -10*c + 5. Let f(i) = 10*i - 4. Let o(k) = -6*f(k) - 5*q(k). Let h(p) = -5*o(p) - 4*y(p). Calculate h(-1). -5 Let z(k) be the third derivative
{ "pile_set_name": "DM Mathematics" }
67 smaller than -2494710? False Is -1072463 < -620? True Is -12298 greater than -12395? True Is 1/71209 bigger than 130.9? False Is 594758 < -7? False Is -3262 bigger than 5549? False Which is greater: 5002/6197 or 1? 1 Do 12881.5 and -576.3 have the same value? False Which is smaller: -453 or 110? -453 Which is greater: -1 or -5/7968176? -5/7968176 Which is smaller: 5942207 or 23768829/4? 5942207 Is 28731 not equal to -53/7? True Which is greater: -1 or 1117/14689? 1117/14689 Is 73438 >= 0.85? True Which is greater: -997/650083 or 1? 1 Which is smaller: -5 or 1118673? -5 Is -655 smaller than -474234/725? True Is -12/37 >= 609621? False Are 47501/106 and 448 nonequal? True Which is smaller: -38/420941 or 0? -38/420941 Which is greater: 2/46857 or -24428? 2/46857 Is -1/3 smaller than -22248/97? False Are -675 and -213747/316 non-equal? True Is -5942541 bigger than -5942531? False Is -6/516317 greater than or equal to 1? False Which is bigger: 4252013/7 or 607430? 4252013/7 Which is greater: 10336365 or 10336363? 10336365 Which is smaller: 36477395 or 36477394? 36477394 Which is greater: 1/280178 or -1/31? 1/280178 Which is smaller: -57249 or -57447? -57447 Is 0 equal to -67/2345221? False Do 46481 and 46349 have the same value? False Is -311335/3 < 0.99? True Do 0 and 17/18180335 have different values? True Which is bigger: 2/3 or 33340630? 33340630 Are 1 and 2261711 unequal? True Is -0.654393 at least 2? False Is -52506/137 at most as big as -384? False Which is smaller: -276755 or -276648? -276755 Which is bigger: -248860681 or -248860682? -248860681 Are 8386 and 8284 equal? False Is -650 != 715.08? True Which is greater: -264824 or 61? 61 Is 2 greater than 2005976? False Which is bigger: 358186661 or -1? 358186661 Is 6558553 greater than 98378314/15? False Do 5 and -16377587 have different values? True Which is greater: -14466 or -1055940/73? -1055940/73 Which is smaller: 1986606 or 1986628? 1986606 Are 1 and 36/752825 non-equal? True Which is greater: -16956359 or 0.1? 0.1 Which is smaller: -16/1198187 or 0? -16/1198187 Is -436/49701 at most as big as 0? True Is 1 at least as big as 806/710769? True Are 120/1099039 and 1 equal? False Is 1 bigger than -410/8357? True Which is greater: -81 or 8535? 8535 Which is bigger: 8 or -39763? 8 Is -6 greater than 36/1025? False Which is greater: 39682054 or 39682068? 39682068 Which is greater: -1083/86216 or 1? 1 Are 364077512 and 364077512 nonequal? False Which is smaller: -65/181972 or -1? -1 Is -1 greater than 916/2869897? False Is -95972293 at least 3? False Which is bigger: 6 or -428.76706? 6 Are -5153/193705 and -1 nonequal? True Which is smaller: -1505083 or -6020331/4? -1505083 Is 36064549 < 36064569? True Which is greater: -366119 or -366135? -366119 Which is smaller: -800 or -23190/29? -800 Is -0.1 smaller than -12176050/9? False Which is smaller: 33.61 or 13.6? 13.6 Is -1 smaller than 54/410267? True Which is greater: -60272 or 223? 223 Is -364431 bigger than -364366? False Is -55 less than 3292828? True Which is smaller: -61/4656155 or -1? -1 Which is smaller: -1 or -1/48852510? -1 Which is smaller: -219893 or 2468? -219893 Which is bigger: -2311 or -5358? -2311 Is 1334 smaller than 34280/11? True Which is smaller: 0 or 25/1282119? 0 Which is bigger: -759782 or 0.1? 0.1 Is 11 less than or equal to -14142922? False Which is smaller: -24 or -183236/7777? -24 Is 182.0712 >= 0? True Which is greater: 11851558 or 11851561? 11851561 Is -7 less than or equal to 3997786? True Which is bigger: 3627734/71 or 51096? 51096 Is -2589399 greater than -2589393? False Which is greater: -293.66 or 20/9? 20/9 Is 338 at most 130550? True Which is greater: 93.8414 or -2/5? 93.8414 Which is smaller: -1018543 or 19? -1018543 Is 1144276 at most as big as 1144274? False Which is greater: 1016448/53 or 19178? 1016448/53 Which is smaller: -370.08648 or 0? -370.08648 Is 1832075 at most as big as 1832082? True Is -38244 at least -39390? True Which is bigger: 564773 or 11860252/21? 11860252/21 Is -5/569 at most as big as -0.3441? False Is -1149/3502 greater than 0? False Which is smaller: 138/7662145 or 1? 138/7662145 Which is greater: -57382 or 1069? 1069 Which is greater: 0.639 or -13736? 0.639 Is 3401/5112 smaller than 1? True Which is greater: 48 or 91615/1874? 91615/1874 Which is bigger: 67224761/8 or 8403095? 67224761/8 Which is greater: -266198.3 or 9? 9 Is 20337 at least 2359203/116? False Which is greater: 62479911 or 62479889? 62479911 Which is greater: -63691 or -105/16? -105/16 Is 1 not equal to 3/81652448? True Is 57635160 at least 57635159? True Is -37128 equal to 205? False Which is greater: 20/18527911 or 0? 20/18527911 Is 1023413/30 <= 34114? True Which is smaller: 48685/23 or -94? -94 Is 4909470/13 <= 377651? False Is -1022 at most as big as 586? True Which is bigger: -3/266 or 513694? 513694 Which is smaller: 869025 or 869006? 869006 Which is greater: 67 or 1033.209? 1033.209 Which is greater: -13954 or -650? -650 Which is smaller: -34.29 or -4874? -4874 Which is smaller: 123/335 or -16/11? -16/11 Which is greater: 15297113 or 15297114? 15297114 Is -534 at least as big as 91853? False Is 24643947 <= -0.12? False Which is greater: -1 or -44/170465? -44/170465 Is 1 bigger than 3754/5485? True Is 947346 smaller than 947295? False Is 160642/25 less than or equal to 0.053? False Are 4893/83197 and 0 equal? False Which is smaller: -50/30344201 or -1? -1 Which is bigger: 20280 or 19116? 20280 Which is bigger: 133 or -1.1774186? 133 Is -1 greater than 17/5064269? False Is 459.9 bigger than 34196? False Which is smaller: 5417/1095 or 6? 5417/1095 Which is smaller: 459.2539 or -16? -16 Is -137485 not equal to 58? True Which is greater: -1 or 1/48686652? 1/48686652 Which is greater: 50381 or 50443? 50443 Is 0 not equal to -7/20971094? True Is 4 at least as big as 34698833? False Is -22/5859 greater than or equal to -10.8? True Which is bigger: -2991/1117 or -3? -2991/1117 Which is smaller: 2524191/22 or 114735? 114735 Is 23594945 at least as big as 23594945? True Which is smaller: -1 or 252/6133? -1 Are 274945051/5 and 54989011 equal? False Is -6/17 bigger than 691/30? False Which is smaller: 0.2 or -1204701? -1204701 Which is smaller: -3368391 or -3368401? -3368401 Which is smaller: 16 or -6885840? -6885840 Which is greater: -6345 or -469615/74? -6345 Is -64082 equal to -95? False Which is greater: 290845 or 3199289/11? 290845 Is 0.05 > -2.260392? True Is -0.4 not equal to 7466582? True Which is smaller: 4 or 2.8509079? 2.8509079 Is -649 not equal to -9158? True Which is bigger: -1.4 or -637/13721? -637/13721 Do 21264.6838 and 0.3 have the same value? False Which is smaller: 2155140/331 or 6511? 2155140/331 Is -37.8 >= -5969.4? True Is -0.26928 < -22.6? False Which is smaller: -316/84793 or 0? -316/84793 Which is bigger: -34145 or -34091? -34091 Which is bigger: -32227/5010 or -5? -5 Does 321595 = 90/11? False Is 65728677 <= 65728686? True Which is greater: 130.5 or -6/71? 130.5 Which is greater: 22283038 or 22283040? 22283040 Do -615 and 76720 have the same value? False Are 4485749 and 0.2 non-equal? True Which is bigger: 1 or 6506/85481? 1 Is -7.8958 greater than -0.044? False Which is smaller: -16822 or -17161? -17161 Are 3 and 15509/3664 nonequal? True Are -806723688 and -806723688 unequal? False Do -104274 and -104674 have the same value? False Is -22313.329 > 1? False Which is smaller: -1066836/5 or -213368? -213368 Is -2/616087425 bigger than 0? False Which is bigger: 27025 or 1162033/43? 27025 Which is greater: 11889 or -13650? 11889 Is 2/9 at least -4/674989? True Is 472006 less than or equal to 2/239? False Which is smaller: -386 or 4255? -386 Is -1/41 at least as big as -9.48508? True Is 20912 < 20958? True Which is smaller: -182147028 or 2? -182147028 Which is smaller: 38210 or -532? -532 Which is bigger: 381731 or 11/27? 381731 Is -162 at most -8244? False Which is bigger: 375777163 or 375777164? 375777164 Is 5/21779039 bigger than -1? True Is 40683 < 40694? True Is -111077834 greater than -111077826? False Which is bigger: 3895 or 1085? 3895 Which is greater: 1 or -2186/81829? 1 Which is smaller: -118148161 or -118148160? -118148161 Is 98408 greater than or equal to 10824963/110? False Is 1 >
{ "pile_set_name": "DM Mathematics" }
6, -5, r Let c be 2 + (-1)/3 + 2/(-3). Put c, -4, -1 in ascending order. -4, -1, c Suppose 3*b - 5*f = 1, -3*b + 5*f - 3 = -2*b. Let l = -5 + 1. Sort b, -1/4, l in decreasing order. b, -1/4, l Let i = 0.32 - 0.96. Let f = i + 0.04. Let a = 0.6 + f. Put 5, -0.5, a in ascending order. -0.5, a, 5 Suppose -p - 2 = 0, 3*p + 15 = m - 2*p. Sort m, -3/5, 0.3, 1 in descending order. m, 1, 0.3, -3/5 Let i be 8/(-45) - 16/(-40). Let s = -1 - 3. Put 2, i, s in increasing order. s, i, 2 Let a(p) = -p - 5. Let g be a(-4). Let t be -2 - (68/(-22) - g). Sort t, 5, 4. t, 4, 5 Let n = 17 - 5. Let p = -7 + n. Suppose p*z - 10 - 31 = -4*i, 5*i = -3*z + 35. Sort z, -3, 4 in descending order. z, 4, -3 Let v(l) = -l**3 - 6*l**2 - 4*l. Let z be v(-5). Let y(a) = 3*a - 26. Let j be y(8). Sort j, z, -1. z, j, -1 Let w(d) = -d - 5. Let h be w(-2). Let g(f) = -f**3 - 4*f**2 + 6*f + 4. Let m be g(-5). Let t be -2*m*(-1 + 0). Sort t, 4, h. h, t, 4 Suppose -2*t - 3*t + 10 = 0. Let j = 4 - -6. Let q be (6/(-12))/((-1)/j). Put 1, t, q in decreasing order. q, t, 1 Let u(t) = -t**3 + 4*t**2 - 4*t + 7. Let a be u(3). Put 3/5, a, 2.6 in decreasing order. a, 2.6, 3/5 Let s = 0.1 + -2.1. Let k = 19 - 30. Let o = -6 - k. Sort s, -0.5, o in decreasing order. o, -0.5, s Let t = -12 - -8. Let g = -0.5 + 0.1. Let p = 24 + -29. Put g, p, t in ascending order. p, t, g Let x = -19.9 + 0.9. Let g = -23 - x. Sort g, 2/9, 4 in descending order. 4, 2/9, g Let w = -2 + 2. Let x = -26 + 25.66. Let r = x + 0.14. Sort 0.1, w, r in descending order. 0.1, w, r Suppose -35 = -5*i + 2*l - 0, 5*i = -5*l. Let r = -33 - -29.2. Let o = -1.2 + r. Put i, 4, o in ascending order. o, 4, i Let y = 1.6 + -0.8. Let v = y + -0.4. Sort v, 1/2, 2 in increasing order. v, 1/2, 2 Let v = 10 + -4. Let h be 9/v*16/12. Suppose -4*m + 2*c + 1 = -7*m, m - 4*c - 9 = 0. Sort m, h, -5 in decreasing order. h, m, -5 Let t(u) be the second derivative of -u**4/12 - 5*u**3/6 + 3*u**2 - 4*u. Let l be t(-6). Let w be ((-4)/(-6))/(2/15). Sort -4, w, l. -4, l, w Let b = -10 - -3. Let h = b - -12. Put h, 2/3, 3 in decreasing order. h, 3, 2/3 Let k be ((-4)/(-6))/(10/(-15)). Let l = 25 - 14. Suppose m - d = -2, -5*m - d + l = d. Put m, 4, k in ascending order. k, m, 4 Let t be (0 - 1)*(-4 + 0). Let c be (-180)/(-210)*28/(-6). Sort c, t, 1. c, 1, t Let l(p) = -p - 1. Let g be l(4). Let z = 0 - -1. Sort g, 2, z in increasing order. g, z, 2 Let t be (-30)/(-5)*8/6. Let d = t + -5. Let b = d + -1. Sort 0, -5, b in ascending order. -5, 0, b Suppose -20 = -5*v - 0. Suppose -z + 3*h - 7 = -5*z, 2*h = -v*z + 2. Put z, 5, 0 in descending order. 5, 0, z Let r(m) = -m**3 + m**2 + 2*m. Let z be r(-1). Put 16, z, 1, 4 in ascending order. z, 1, 4, 16 Suppose 9 = -4*i + 13. Sort i, -1, -2/5 in descending order. i, -2/5, -1 Suppose -3*g + 5*t = -10 - 12, 3*g + 3*t = 6. Suppose g*y = y. Sort y, 5, 1 in descending order. 5, 1, y Let w be (-4)/(-10) + (-16)/90. Let p = 0.03 + -0.13. Sort p, -1, w in increasing order. -1, p, w Let r be 7/7*((5 - 2) + 2). Put -2, 0, r, 1 in decreasing order. r, 1, 0, -2 Let y(n) = -n - 9. Let l be y(-7). Let f = 90 - 633/7. Put l, f, -1/3 in ascending order. l, f, -1/3 Let t(m) = -m**2 + 3*m + 6. Let p be t(7). Let z be (-4)/p - (-464)/(-616). Suppose 3 = -0*n + 3*n. Put n, -2/3, z in descending order. n, z, -2/3 Let z = 60 - 597/10. Put 2/15, 2/11, 2, z in descending order. 2, z, 2/11, 2/15 Suppose 0 = -3*d + 4*d - 3. Let g be -1*14*d/6. Let b = 4 + g. Sort -2, 0, b. b, -2, 0 Let l = 79 - 79. Sort -1/4, l, 1/13. -1/4, l, 1/13 Let d = -94.1 + 94. Let v = -10/9 + 92/99. Sort v, 2/13, d in decreasing order. 2/13, d, v Suppose -3*a - 3*l + 9 + 15 = 0, 4*a - 38 = 2*l. Let g be (-16)/a + (-8)/36. Put g, 3, -5 in descending order. 3, g, -5 Let u = 50 - 48.9. Put u, 0.1, 3/4, 2/3 in decreasing order. u, 3/4, 2/3, 0.1 Suppose -d - 2 = -3*m + 4, m = 4*d + 13. Let b be (6/4)/((-9)/(-6)). Let l = -2 + b. Put l, 0, d in ascending order. d, l, 0 Let s = -188/7 + 27. Let p = -3.25 - -2.25. Sort p, 4, s in ascending order. p, s, 4 Let v = 0.04 - 0.01. Let w = -2.03 + v. Let f = 0.12 - -3.88. Put w, f, -1/3 in increasing order. w, -1/3, f Let v = 0.07 - 0.27. Sort -3, -2/5, v in descending order. v, -2/5, -3 Let v be (-2)/2 + 4/(-16). Let r = -132/35 + 21/5. Sort r, -0.2, v in decreasing order. r, -0.2, v Suppose 5 = -3*c - 2*c + 5*b, -5*c - 2*b - 19 = 0. Let d(s) = s**3 - 2*s**2 - 8*s + 13. Let p be d(3). Suppose 3*f - f = 0. Put p, c, f in increasing order. c, p, f Suppose -4*x + 7 = -1. Let t = -0.009 + 0.009. Put t, x, 3 in descending order. 3, x, t Let f = 24 - 26.05. Let a = f + 0.05. Let d = 3 + a. Sort d, 5, -5. -5, d, 5 Suppose 4 = -d - 0. Let s = 78 + -73. Sort s, -3, d in ascending order. d, -3, s Let d(w) = w - 3. Let u be d(8). Put -2, u, -3, -5 in decreasing order. u, -2, -3, -5 Let f = 45 - 134/3. Sort f, 5, 0.5 in decreasing order. 5, 0.5, f Let w(c) = -2*c - 18. Let j be w(-7). Put -2, -0.2, j in ascending order. j, -2, -0.2 Let b be 12/(-3) + 1 - 0. Suppose -3*j + 4*c = 0, 0 = -j + 5*c - c. Let w be (-3)/(-3*1/(-2)). Sort w, b, j in descending order. j, w, b Let l = 45 - 44.6. Sort 0, l, -1 in decreasing order. l, 0, -1 Let j be 22/(-6) + (-3)/(-1). Put -1, -0.3, j, -2 in ascending order. -2, -1, j, -0.3 Let b = 4 + -12. Let s = b - -3. Sort 1/4, 0.8, s in decreasing order. 0.8, 1/4, s Let y(h) = 4*h - 3*h - h**2 + 5*h + 9 + 0*h. Let q be y(7). Let n(b) = -b - 11. Let d be n(-6). Put q, -4, d in descending order. q, -4, d Let r be (2/(-2))/((-13)/(-65)). Sort 5, 0, r. r, 0, 5 Let v(x) be the third derivative of x**4/24 - x**3/2 - 3*x**2. Let q be v(0). Sort -0.5, 3/5, q in decreasing order. 3/5, -0.5, q Let g = 1.8 + -2.2. Sort g, 2, -4 in increasing order. -4, g, 2 Let z = 0.1 - 0.6. Sort 0.1, z, 5 in descending order. 5, 0.1, z Let u(w) = -w**3 - 9*w**2 - 9*w - 5. Suppose -5*i - 40 = -0*i. Let n be u(i). Put n, 2, -2/11 in increasing order. -2/11, 2, n Suppose 0 = -11*c + 9*c + 10. Put -4, c, 0 in increasing order. -4, 0, c Suppose -6*y = -2*y. Suppose -5 - 15 = 4*i. Sort 4, y, i in descending order. 4, y, i Suppose 0 = 4*y - 29 + 21. Let n(x) = -7*x**3 + x**2 - 1. Let d be n(-1). Put y, 5, d in descending order. d, 5, y Let w be 2 + 44/(-30) + 2/(-6). Sort 3, w, -2/3, -4/3 in descending order. 3, w, -2/3, -4/3 Let k(i) = -5*i - 37. Let l be k(-7). Sort -36, 4, 5, l in descending order. 5, 4, l, -36 Let c be (12/(-15))/((-6)/15). Sort -2, c, 3 in descending order. 3, c, -2 Let c(i) = -i**2 - 3*i + 4. Suppose 4*r + 0 = -12. Let t be c(r). Sort -1, t, 5 in descending order. 5, t, -1 Let p = 2 - 1.7. Suppose 0 = -7*t + 2*t. Suppose a + 2*d - 1 = -t*a, -3*a + d = -10. Put a, -1, p in increasing order. -1, p, a Suppose -5*v = 10 + 10. Sort v, -5, 3. -5, v, 3 Suppose -f - 3 = -5. Let p be f/(-4) + 9/(-2). Put p, 2, 3 in ascending order. p, 2, 3 Let c = 89 + -92. Sort -7, c, 3 in descending order. 3, c, -7 Let y(o) = o + 7. Let b be y(-7). Put -3, -10, b, -1 in decreasing order. b, -1, -3, -10 Let g = 6 + -6.3. Sort g, 3, -0.5, -3 in decreasing order. 3, g, -0.5, -3 Let h = 9 + -5. Let z = 3.81 - -0.19. Let n = h - z. Sort n, 3/2, 3 in descending order. 3, 3/2, n Suppose 0 = -4*p + 2*p - 2. Let h be (p/2 - -1)*-3. Sort h, 1/5, 5 in ascending order. h, 1/5, 5 Let j(v) = v + 6. Let o(r) = r - 1. Let b(n) = 1. Let i(t) = -2*b(t) - 2*o(t). Let p be i(2). Let z be j(p). Put 0.5, z, 2/9 in ascending order. 2/9, 0.5, z Let g be 3 + 3 + 74/(-12). Sort 2, -2/5, g in descending order. 2, g, -2/5 Let x = 0.04 - 0.16. Let i = -0.08 + x. Sort -2/9, i, 1 in increasing order. -2/9, i, 1 Let b = 27 + -32. Put b, 4, 5 in decreasing order. 5, 4, b Suppose k - 4 = 3*k. Sort -1/8, k, 2/7 in ascending order. k, -1/8, 2/7 Suppose -2*m = 5*j + 15, 2*m - 10 = 4*m + 4*j. Put -7, -2, 2, m in decreasing order. m, 2, -2, -7 Let c = -48 - -287/6. Let d = 52 + -49. Put -3, d, c in ascending order. -3, c, d Let d = -1 - -0.5. Let o be (-3)/18 + (2/(-4))/1. Sort d, -5, o in increasing order. -5, o, d Suppose -4*h = -9*h + 20. Sort h, -5, -1, 5 in increasing order. -5, -1, h, 5 Let t = -50 + 48. Sort -3, t, 0.08, 3. -3, t, 0.08, 3 Let c = -145 + 156. Sort -0.3, -1/2, c, -0.2 in descending order. c, -0.2, -0.3, -1/2 Let x = 0.05 - 0.35. Let c = x - -0.3.
{ "pile_set_name": "DM Mathematics" }
+ 23. Let k be (-2)/(-6) + 582/z. Suppose 5*o - 3*o + 8 = 0, 0 = -3*j + 5*o + k. Is j composite? True Suppose 5*n + 2868 - 16403 = 0. Is n a composite number? False Suppose -2*l = -0*s - 3*s - 500, 260 = l + s. Suppose 148 = 5*x + 3*u - l, 5*u = 3*x - 222. Is x prime? True Let t(u) = 2*u**3 - u. Let z be t(2). Suppose -i + 29 = -z. Is i composite? False Let s(q) = q + 1. Let b be s(2). Let v = b + 0. Suppose 30 + 12 = v*d. Is d a prime number? False Let z be 3/(1/(2 - 1)). Suppose x + 324 = -2*x + z*m, 2*m = -3*x - 309. Is -1*(0 - x)/(-3) prime? False Let m = 656 - 188. Let x = -113 + m. Is x prime? False Suppose 0 = 3*v + 1 + 2. Let r(j) = 246*j**2 - j - 1. Let q be r(v). Suppose -k = 0, 0 = 2*x - 3*k - 176 - q. Is x a prime number? True Let x = -16 - -11. Is -2 - ((-2 - x) + -154) a prime number? True Let q(k) = -k**3 - 2*k**2 + 3*k - 1. Suppose 12 = 5*c - c. Suppose 0 = -3*f - c, -2*f + f = -4*v - 15. Is q(v) a prime number? True Suppose 2*x - 4*g = 42, -9 = x + 5*g - g. Is x prime? True Let j(x) be the first derivative of x**4/4 + 2*x**3 - 3*x**2 + 9*x - 3. Let y be j(-7). Suppose q = 5*f - y*f - 362, 5*q = 2*f - 263. Is f a composite number? True Let c be ((-2)/(-1) - -29)*-1. Let l be (3/(-2))/(4/(-120)). Let j = c + l. Is j composite? True Let c(x) = x**2 - 4*x - 4. Let a be c(5). Is -6 - -131 - (a + 2) composite? True Is (-8)/((-16)/(-5))*(-2824)/10 a prime number? False Suppose -4*v + v + 141 = 0. Let c = v + -8. Is c a prime number? False Suppose -5*d + y = -17, 0 = d + 2*y - 16 + 6. Suppose d = -4*n, j - n - 1120 = -2*j. Is j a composite number? False Suppose 3*o - 15 = 0, -4*o - 269 - 81 = -2*g. Is g a composite number? True Suppose m = -4*m + 790. Is m a prime number? False Let y(o) = o**2 + 5. Let u be y(4). Suppose 0 = -2*c + 7*s - 2*s - u, -s + 5 = 0. Is -4 - (c + -4) - -49 prime? True Let r(x) be the third derivative of 0*x + 1/24*x**6 + 2*x**2 + 0 - 1/30*x**5 + 1/8*x**4 - 1/2*x**3. Is r(2) composite? True Let z(c) be the third derivative of c**5/60 + 7*c**4/24 - 5*c**3/6 - 2*c**2. Is z(-9) a composite number? False Suppose -3*n + 9 = 0, 5*c - 3*n = c - 33. Is ((-237)/9)/(2/c) composite? False Is ((-7)/(-2))/((-7)/(-1106)) a prime number? False Let o be 48/18 + (-2)/3. Is -246*(o/(-3))/2 prime? False Is (-14)/28 - 399/(-2) a composite number? False Suppose 3*b + 2*x = 1605, 3*x + 0*x + 2123 = 4*b. Is b prime? False Suppose 13 - 1 = -2*x - 3*b, 2*x + 5*b + 20 = 0. Suppose 4*k - 2*s + 0*s - 308 = x, -8 = -2*s. Is k prime? True Suppose 99 = -2*c + 5*c. Is c a composite number? True Let n = 14 - 10. Let r = -15 + 46. Suppose 0 = v - n - r. Is v a prime number? False Let r(q) = -q**3 - q**2 - 2*q - 6. Let n be r(-2). Let i be (-11 - -1)/(2/(-53)). Suppose -i = -7*c + n*c. Is c prime? True Let u(c) = 192*c + 6. Let w = 13 + -7. Let l(b) = -191*b - 5. Let f(t) = w*u(t) + 7*l(t). Is f(-2) a prime number? False Let n = -237 - -496. Is n a composite number? True Suppose 9*q = 683 + 13204. Is q a composite number? False Let s(n) = 2*n**3 - 4*n**2 - 4*n - 10. Let m(a) = 5*a**3 - 7*a**2 - 7*a - 21. Let x(d) = 3*m(d) - 7*s(d). Let g be x(-6). Is g - 13*(-2 + 1) a composite number? True Suppose 8 = -i - 0*i. Let s(q) = q**2 - q - 3. Is s(i) a prime number? False Let g be (8/10)/(8/20). Let p = g + 0. Suppose 0 = -p*y + 6 + 56. Is y composite? False Suppose w = -5*b + 1011, 0 = 3*b - 5*b + 2*w + 414. Is b a prime number? False Is 3 + 0 + -4 - -552 a composite number? True Let z(m) = -m + 1. Let l be z(-2). Suppose -x = l*c - 8, 3 = 4*c + x - 7. Suppose 0 = -i - c*i + 114. Is i a composite number? True Suppose 3*s = 6*s. Suppose 2*h + 2*h - 16 = s. Suppose -8*b = -h*b - 316. Is b a prime number? True Suppose -j + 24 = 2*j. Suppose q + q - j = 0. Suppose 0 = q*x + 5*v - 306, -5*x + 0*v + 399 = -2*v. Is x composite? False Suppose -5*a - 8 = -b - 3*a, -2*b - 5*a = 20. Suppose -3*w = -b*w - 489. Is w prime? True Let l be (-8)/(-36) + (-25)/(-9). Suppose -44 = -l*p + j, -51 = -p - p + 5*j. Is p composite? False Let x = 13 - 8. Suppose 0 = -4*u + 5*j + 40, -j + 50 = x*u + 3*j. Suppose 0*m = 5*c - 2*m - 349, u = -5*m. Is c a prime number? False Let b(h) = 10*h**2 - 11*h + 6. Is b(5) composite? True Let l(w) = w**2 + 3*w + 2. Let t be l(-2). Suppose t*y - v - 40 = 5*y, -32 = y + 5*v. Let u(g) = g**3 + 10*g**2 + 11*g + 7. Is u(y) composite? True Let f = 34 - -1131. Suppose 0*c + 3*c + f = 4*k, -593 = -2*k + 5*c. Let y = k + -206. Is y prime? True Suppose 5*x = 3*x + 2570. Is x a prime number? False Suppose 5*v - 15 = 7*o - 2*o, 3*v + 3 = -o. Let l be -214*(3 - v)/(-6). Suppose 5*b = 4*h - 0*h - l, 0 = -3*h - b + 66. Is h composite? False Suppose 2*q = -0*q + 4, 4*p - 17122 = -3*q. Is p a composite number? True Suppose 3*k + 2*v = -k + 36, k = 5*v - 2. Let m = k + -4. Let j = m + 6. Is j prime? False Suppose -7103 = -5*d + 3*s, 4*d + 2*s = -3*s + 5712. Is d a composite number? False Let q(j) = -j**3 + 3*j**2 - 3*j + 3. Let d be 3*(3 + 0)/3. Let x be q(d). Let s(c) = c**2 + 4*c + 3. Is s(x) a composite number? True Let d(u) = u - 2. Let z be d(6). Let c = z + -6. Is c - (-18)/4*18 prime? True Let m be (16/6)/4*3. Suppose 17 + 11 = m*y. Suppose -h - 3*d = d + 6, -y = -4*h + 3*d. Is h prime? True Is 2577 + (-16)/(-7) + (-2)/7 composite? False Let m(p) = -92*p + 3. Is m(-2) a prime number? False Let z(u) = -583*u + 4. Is z(-1) composite? False Let t = 6 + -6. Let k(l) = -l**2 + 71. Is k(t) a composite number? False Let w(f) = 4*f + 70*f + 6 - 5. Is w(3) prime? True Suppose -5 - 15 = -5*k. Suppose v = k*v - 27. Let b = 16 - v. Is b composite? False Suppose 15 = 3*z, 5*k + 4*z - 317 = 88. Is k a prime number? False Suppose 11526 + 5266 = 8*a. Is a composite? False Suppose -2*x - 2*h - 12 = 0, h = 5*x - 0*x. Is x/(((-4)/138)/2) composite? True Is ((-2046)/(-12) + -5)*2/1 a composite number? False Let r = -8 + 4. Let y = r - -54. Is y - (-7 + 2 + 2) a prime number? True Let b(v) = 44*v + 11. Is b(18) prime? False Let g(y) = 23*y - 19. Is g(6) a prime number? False Let f(h) = 44*h + 17. Is f(10) prime? True Suppose -2*s - 2*s + 2056 = 0. Is s a composite number? True Suppose -t - 11 = 2*t - 5*g, -4*g = 2*t - 22. Suppose b = t*b + 20. Is (2 - b/(-4))*-38 a prime number? True Let u(j) = j + 2. Let m be u(3). Suppose -2*d = -m - 11. Let p(y) = 2*y + 5. Is p(d) a prime number? False Suppose 0 = l - 5*l + 124. Suppose 2*s - 13 = l. Is s a prime number? False Let u be (2/6)/(9/(-81)). Is u - (-1)/(2/508) a prime number? True Is ((-4)/12)/(1/(-231)) a prime number? False Let m(y) = -16*y - 1. Let w be -2 + 2 + 1*4. Let u be m(w). Let a = u + 132. Is a a composite number? False Let l be (-32)/(-14) - 8/28. Suppose l*z + 142 = 2*v, 0 = 8*v - 3*v + 2*z - 320. Suppose 8*t - v = 6*t. Is t composite? True Let f(m) = 18*m**3 + 2*m**2 + 4*m - 7. Let u be f(3). Suppose 3*d = 5*k - 7, 0 = 4*k + 3*d + 1 - 12. Suppose k*o - u = -121. Is o a prime number? False Suppose 0 = 2*q - 5*q + 318. Is q prime? False Suppose 4*c + 2*h = 588, 0*c - 2*h + 439 = 3*c. Is c prime? True Suppose 0 = -14*s + 11*s + 465. Is s a composite number? True Let c(u) = 36*u**2 - 3*u + 14. Is c(5) a prime number? False Suppose 3*t + 3*t - 2346 = 0. Is t a composite number? True Suppose 0 = 5*w - 89 - 6. Suppose -21 = -5*o - 4*f, 2*f + w = -5*o + 42. Suppose x + 155 = 5*x + o*d, 2*x - 3*d - 61 = 0. Is x a composite number? True Suppose 5 = -5*u, c + u + 1 - 4 = 0. Suppose 3*j - c*q - 2703 = 0, -3*q = 5 - 14. Is j a composite number? True Let f = -29 - -78. Is f a composite number? True Let g(m) = -2*m**3 + m**2 + 6*m + 3. Let t be -2*28/8 + 3. Is g(t) composite? True Let f = 8 + -2. Is 1/f - 317/(-6) prime? True Let s be ((-1)/(-4))/((-2)/(-8)). Let p(d) = d - 1. Let o be p(-7). Is (74/o)/s*-4 composite? False Suppose 0*v - v - j + 64 = 0, 0 = 3*v - j - 200. Suppose -b + g + v = 0, 8 - 182 = -3*b - 3*g. Let u = 93 - b. Is u composite? False Suppose 2*x + 15 = x + 4*p, 2*p = -4*x + 12. Let h be 9/(-12)*(x - -7). Is (148/h)/((-2)/3) composite? False Suppose 0 = -b + 5 - 1. Is (110/b)/(1/2) a composite number? True Let u be (6/(-8))/(2/(-248)). Let i(r) = -r**2 + 15*r - 12. Let f be i(14). Suppose -q - f*q = -u. Is q prime? True Let g = 6 + -6. Suppose q - 228 = -0*q + 5*k, q - k - 208 = g. Is q prime? Fals
{ "pile_set_name": "DM Mathematics" }
131*r**5/5 - r**4/3 - 5*r**3/6 - 2*r**2. Let t be j(-7). Suppose -3*w + 84921 + t = 0. Round w to the nearest 10000. 50000 Let y be -2 + 4 - 0/(-4). Suppose 5*g + 260 + 27 = -y*t, g = -2*t - 51. Round g to the nearest 10. -60 Let f = 4 - 1. Suppose 5*j = f*j + 1060000. What is j rounded to the nearest one hundred thousand? 500000 Let w = -0.06 - 0.04. Let u = 2.7 - w. What is u rounded to the nearest integer? 3 Suppose -w - 3*w = 16. Let x be 3/w + (-121)/4. What is x rounded to the nearest ten? -30 Let b = -2757003638 + 2757003637.94779835596. Let n = -45.94779873596 + b. Let x = 46 + n. What is x rounded to seven decimal places? -0.0000004 Let c = -34.028378577 - -0.028374377. Let k = 34.054 + -0.054. Let s = c + k. What is s rounded to six dps? -0.000004 Let f(h) = 0*h + 2328*h**2 - 3*h - 890*h**2 + h. Let a be f(4). Round a to the nearest 10000. 20000 Let c(a) = -44*a + 0 - 1 + 7*a. Let s be c(1). Round s to the nearest 10. -40 Let l = 549996013.99999993 + -549996030. Let n = l + 16. What is n rounded to seven dps? -0.0000001 Let t = 452 + -286. Let b = 165.999933 - t. Round b to five dps. -0.00007 Suppose -2*i = 5*j + 109000010, -4*j - 10*i = -6*i + 87200020. Round j to the nearest one million. -22000000 Let h = 300.999841 - 301. What is h rounded to five dps? -0.00016 Let j = -0.0889 - -60.7889. What is j rounded to the nearest 10? 60 Let m = -6055 - 5445. Round m to the nearest one thousand. -12000 Let h = -0.149936 + 0.15. Round h to 5 dps. 0.00006 Let h(x) = -x**3 + x**2 - x - 1500000. Let i be h(0). Round i to the nearest 1000000. -2000000 Let i = 0.06 + 0.03. Let c = -0.1 + i. What is c rounded to 3 decimal places? -0.01 Let n = -2.3 + 2.29871. What is n rounded to 4 dps? -0.0013 Let z be 0/(-1) + (4 - -1). Suppose -x + 2*m + 350 = z*m, x + 5*m = 340. Let v = x + 5135. Round v to the nearest one thousand. 6000 Let l = 0.5029 - 0.8788. Let f = l - -0.37. Round f to 3 decimal places. -0.006 Let q = 0 + -2. Let x = -46.9 + 49. Let a = x + q. What is a rounded to one decimal place? 0.1 Let v = -6758448.8000052 - -6758452. Let j = 3.2 - v. What is j rounded to 6 dps? 0.000005 Let x = -122 + 205. Let z = 82.9909 - x. Round z to three dps. -0.009 Let p = 3.9 - 4. Let b = p + 0.099994. Round b to 6 decimal places. -0.000006 Let i = 167.09 + -89.75. Let u = -105 + 27. Let x = u + i. Round x to 1 decimal place. -0.7 Let a = 219 + -399. Round a to the nearest 100. -200 Let f = 75 + -74.158. Let u = -0.049 + f. Let o = u - 0.86. Round o to two dps. -0.07 Let s = 75 - 75.00122. Round s to 4 decimal places. -0.0012 Let k = 12319 + -4719. Round k to the nearest one thousand. 8000 Let i = -207 - 116. Let y = -322.99867 - i. What is y rounded to 4 dps? 0.0013 Let f = 2249688 - -399934. Suppose -j + 5*j - 8 = 0. Suppose j*k + f = 449622. What is k rounded to the nearest one million? -1000000 Suppose 13*p - 12740 = 15*p. Round p to the nearest 1000. -6000 Let a = -11.00000065 - -11. What is a rounded to 7 dps? -0.0000007 Suppose -10*s + 12*s + 11800000 = 0. Round s to the nearest one million. -6000000 Let f = -22 - -22.18. Let s = 0.01 + f. What is s rounded to 1 decimal place? 0.2 Let l be (4/(-7) - (-470)/(-35))*9500. Round l to the nearest ten thousand. -130000 Let j = -531 - -531.6995. Let n = 0.7 - j. Round n to three decimal places. 0.001 Suppose u + 1 = 5*l, 4*u = -5*l - 0 - 4. Let i be 400/(u*1/32000). What is i rounded to the nearest 1000000? -13000000 Let z(y) = 17*y**2 + 9*y - 3. Let q be z(-5). What is q rounded to the nearest one hundred? 400 Let n = 2 + 0. Suppose 0 = -n*o + 116524 + 11476. Round o to the nearest ten thousand. 60000 Let o(d) = -249999*d - 21. Let f be o(21). Round f to the nearest 1000000. -5000000 Let z = 5.6 + -15. Let r = 9.39999911 + z. Round r to 7 decimal places. -0.0000009 Let z = -0.07 - 13.93. Let x = 14.000039 + z. Round x to 5 decimal places. 0.00004 Let i be 8 + -1 - 2/1. Let k(p) = 400*p - 1 + 7 - 6. Let l be k(i). What is l rounded to the nearest one thousand? 2000 Let h = -2.5 + -9.5. Let b = 11.65 + h. Round b to one dp. -0.4 Suppose 5*h = 5*r - 3170, 2*h + 150 = -2*r - 1134. Let b = -262 + h. Round b to the nearest 1000. -1000 Let n = -1.46 - -2.1. What is n rounded to 1 decimal place? 0.6 Let r = -2.19939 + 2.2. What is r rounded to four dps? 0.0006 Let k be ((-4)/(-8))/(2/16). Suppose z = -5*l + k, 0*l - l + 3*z = 12. Suppose l = -7*v + 4*v. Round v to 3 decimal places. 0 Let c = 4066041 + -4066041.08699818. Let s = 0.087 + c. What is s rounded to 7 decimal places? 0.0000018 Let z = 0.6 - 2.6. Let i = -5 - -7.4. Let s = z + i. Round s to one dp. 0.4 Let g = -306.13082 - -295.1308282. Let m = 11 + g. Round m to 6 dps. 0.000008 Let d = 5.616 - -0.084. Let i = d + -5.69999951. What is i rounded to seven decimal places? 0.0000005 Let u = 13.7 - 2.7. Let l = 10.9964 - u. Round l to three decimal places. -0.004 Let b(t) be the third derivative of -363*t**5/4 + t**4/12 - t**3/6 - 2*t**2. Let f be b(3). Round f to the nearest 10000. -50000 Let v be -3*(-4)/(-12) - 529. What is v rounded to the nearest 100? -500 Let x = 0.064197 - 0.0342. Let f = x + -0.03. What is f rounded to 6 decimal places? -0.000003 Let s = 158 - 74. Let w = s + -83.9906. Round w to 3 dps. 0.009 Let d = -35316171067366.3199946 - -35316174030574. Let m = d - 2963207. Let y = m + -0.68. What is y rounded to 6 decimal places? 0.000005 Let m(y) = -y**2 + y - 1. Let u be 4/10 - 2/5. Let x be m(u). Let j be -2000*x/((-2)/(-610)). What is j rounded to the nearest 100000? 600000 Let f = 16.41 + -16. Let r = 0.4 - f. Let o = 0.01000011 + r. Round o to 7 decimal places. 0.0000001 Suppose 0*v - 3*v + 4123 = 2*r, 0 = -3*r + v + 6179. What is r rounded to the nearest 100? 2100 Let t be 625*(-8)/4*-6560. What is t rounded to the nearest one million? 8000000 Let v = -166 - -253. Let a = -55 + v. Let h = -31.99962 + a. What is h rounded to 4 dps? 0.0004 Let w = -16.98 + -70.72. Let y = 106 + w. Round y to the nearest integer. 18 Let c = -629.42 + 635. Let h = -1.08 - -1. Let z = c + h. What is z rounded to 0 dps? 6 Let f = 2051379 + -6251379. What is f rounded to the nearest one hundred thousand? -4200000 Let t = -31632992462 - -31632999283.7599956. Let y = -6823.56 + t. Let x = y - -1.8. Round x to 6 dps. -0.000004 Let y = -7 + 9. Suppose 0 = 5*o - 10, y*p - o + 2*o + 8998 = 0. What is p rounded to the nearest one thousand? -5000 Let c = -629.613813 + 630.047. Let q = 0.433 - c. What is q rounded to five dps? -0.00019 Let t = 33.400169 - 33.4. What is t rounded to 5 dps? 0.00017 Let w = -22968.15091 + 22968. Let m = w + 0.15. What is m rounded to 4 dps? -0.0009 Let t = -23 + 22.9986. What is t rounded to three dps? -0.001 Let t(i) = 14777*i - 7. Let r be t(-9). Round r to the nearest ten thousand. -130000 Let g = -0.14 - 0.26. Let d = g + 0.319. What is d rounded to 2 decimal places? -0.08 Let q = -27 - -27.108. Let y = -0.1037 + q. What is y rounded to three decimal places? 0.004 Let v = 474184706 + -474184787.0000143. Let t = 81 + v. Round t to 6 decimal places. -0.000014 Let c be 9750/(2 - 462/240). Round c to the nearest 10000. 130000 Let f be 1/(-7) + 156799784/56 + 4. What is f rounded to the nearest one million? 3000000 Let w = 2.4 - 2. Let a = 0.39999925 - w. What is a rounded to 7 decimal places? -0.0000008 Let o = 7.5 - 19. Let q = o + 9. Let n = q - -2.466. What is n rounded to 2 dps? -0.03 Suppose 4900004 = -5*x + h, 3*x + 2235350 + 704630 = -5*h. Round x to the nearest one hundred thousand. -1000000 Let u(m) = -39000000*m**3 - 3*m + 3. Let o be u(1). Round o to the nearest 1000000. -39000000 Let t(d) = -1999*d - 6. Let h be t(6). Round h to the nearest one thousand. -12000 Let n = 4 + 0. Let j = n + -1.5. Round j to the nearest integer. 3 Let n = 3605313 - 2505313. Round n to the nearest 100000. 1100000 Let p(s) = -176*s**2 + 33*s - 23. Let b(m) = -59*m**2 + 11*m - 8. Let x(z) = 7*b(z) - 2*p(z). Let c be x(10). What is c rounded to the nearest 10000? -10000 Suppose -q = -4*h - 3, 2*q = 2*h + q - 1. Let k be (h - -3) + (-1 - -3500). What is k rounded to the nearest one thousand? 4000 Let y = -5 + 4.97. Let a = -0.0299931 - y. Round a to 6 decimal places. 0.000007 Let s = -900 - -900.000000549. Round s to seven decimal places. 0.0000005
{ "pile_set_name": "DM Mathematics" }
))/(-5*(sqrt(125) + sqrt(5)) + sqrt(5) + sqrt(10)/sqrt(50)). -25*sqrt(13)/36 Simplify (-4*1*(3 + 6*(1*sqrt(153)*-4 + sqrt(153)))*-5*-3)**2. -1166400*sqrt(17) + 178491600 Simplify (-3 + -2 + (sqrt(234)/(sqrt(6) + sqrt(24)/sqrt(4)) - sqrt(39))/(sqrt(24)/(2*sqrt(8))) + 2)**2. 6*sqrt(13) + 22 Simplify (2 + (5*sqrt(2695))/sqrt(5) + (0 + sqrt(11) - sqrt(11)) + -2 + sqrt(1331) + -5)**2. -460*sqrt(11) + 23301 Simplify ((sqrt(13) - (3*sqrt(13) + sqrt(13)))*-3 + 2 + (sqrt(1300) + (sqrt(1300) - (0 + sqrt(1300))) - (-2 + sqrt(1573))) + 2)**2*6. 576*sqrt(13) + 5208 Simplify ((-5*((sqrt(104) - sqrt(104)*1) + sqrt(104)) + sqrt(104))*-6)/((((sqrt(72) - 3*sqrt(72) - sqrt(72)) + sqrt(72) - sqrt(72))/sqrt(9) + sqrt(8))*5) + -3. -12*sqrt(13)/5 - 3 Simplify 1*(4*(-3 + -5*(3 + 2*sqrt(304))*-5))**2. 460800*sqrt(19) + 12242944 Simplify 4 + (sqrt(81)/(-1*sqrt(3) - sqrt(3)) - 1*sqrt(27)*4)/(1*sqrt(729)*-6 - sqrt(729)) + 2. sqrt(3)/14 + 6 Simplify (((sqrt(95) - 5*sqrt(95)*-1 - sqrt(95))/((2*sqrt(10))/sqrt(2)) + -3)*1 + 1)**2 + 0. -10*sqrt(19) + 491/4 Simplify -4*(((2*sqrt(336)/sqrt(8))/sqrt(6) + sqrt(343)*4*4)*-3)**2. -3274992 Simplify ((sqrt(65)*2 - sqrt(65))*-6)/((1*sqrt(40))/sqrt(8)) - 2*-6*-4*(sqrt(1053) - (sqrt(1053) + 2)**2). 1290*sqrt(13) + 50736 Simplify (((5*2*sqrt(576) + sqrt(576))/(sqrt(12) + (sqrt(12) - sqrt(108)/(sqrt(9)*-2)) + sqrt(12) + sqrt(132)/(sqrt(44)/sqrt(4))) + 4)*-6)**2. 2816*sqrt(3) + 32704/3 Simplify ((sqrt(68) + (sqrt(68) - 3*(sqrt(68)*2 - sqrt(68) - sqrt(68))) - (sqrt(68) + -1*2*sqrt(68)))*4)/(-3*(sqrt(576) + 3*sqrt(576)*-1 + sqrt(576))). sqrt(17)/3 Simplify ((sqrt(108) + sqrt(108) + -4*(5*sqrt(108) + sqrt(108)))*-4)/(5*(sqrt(9) + sqrt(54)/sqrt(6))*4*-5). -22*sqrt(3)/25 Simplify (-1 + (sqrt(100) + sqrt(100)*-3 + sqrt(100) + sqrt(100) - sqrt(100))/sqrt(2) + ((1*sqrt(300) - sqrt(300))*5)/sqrt(6))*-2*-3. -30*sqrt(2) - 6 Simplify 4 + ((sqrt(63) + (sqrt(504) + (sqrt(504)*2 - sqrt(504)) + sqrt(504) + sqrt(504))/sqrt(8))**2*-2 - (-2 + sqrt(4032) + sqrt(2268) + -1)). -3143 - 42*sqrt(7) Simplify (4*-4*2*sqrt(153)*-1)/(1*(-2*sqrt(441)*-4 - sqrt(441))). 32*sqrt(17)/49 Simplify (6*(1*sqrt(24)*-4 + sqrt(24)*2*-5))/(sqrt(16)/sqrt(2)*5 + sqrt(8) - sqrt(160)/sqrt(5)). -21*sqrt(3) Simplify (sqrt(104)/sqrt(8)*-6)**2 + -5*sqrt(13)*-5 + (sqrt(1872) - ((sqrt(1872) + -1)*-4)**2). -29500 + 421*sqrt(13) Simplify (-1*(sqrt(77)/(sqrt(66)/(-1*sqrt(6))) - (sqrt(42)/(sqrt(2)*-3))/sqrt(3)) + -4)**2. -16*sqrt(7)/3 + 172/9 Simplify (sqrt(76) - ((2*sqrt(76) - sqrt(76))*-5 - sqrt(76)) - -5*3*sqrt(76))/(sqrt(4) + (sqrt(400) - sqrt(400)*1) + sqrt(28)/sqrt(252)). 132*sqrt(19)/7 Simplify 5*(sqrt(98) - (-3*sqrt(98)*3)**2) - ((-5 + sqrt(200) + -1 + sqrt(200) + sqrt(200))*-4)**2. -69066 + 5795*sqrt(2) Simplify (-5*(sqrt(468) + (sqrt(468) - (-2 + sqrt(468) + 2)))**2*4 - (-5*((sqrt(468) + 1)*-6 + -1 + sqrt(468) + 0))**2) + -3. -303088 - 10500*sqrt(13) Simplify ((sqrt(351) + -1*sqrt(351) + sqrt(78)/(sqrt(2) + sqrt(32) + sqrt(2)))/(sqrt(363) + (sqrt(363) - (-5*(-2*sqrt(363) + sqrt(363)) - sqrt(363))))*-6)**2. 13/484 Simplify (sqrt(315)/sqrt(441) - (sqrt(245)*3)/sqrt(7))/(2*4*(sqrt(405) + 1*sqrt(405))). -5*sqrt(7)/252 Simplify (2*sqrt(270)/(sqrt(50)/(sqrt(25)/sqrt(5))) + (sqrt(297)/(sqrt(11)*5) - (1 + sqrt(1728))))**2. 174*sqrt(3)/5 + 22732/25 Simplify 1 + -3*(sqrt(343) - (1 + sqrt(343)))*3 + 6*(-5 + sqrt(343)*-1)**2. 420*sqrt(7) + 2218 Simplify ((-4 + -3 + sqrt(17) - (sqrt(85)*-3 + sqrt(85))/sqrt(5)) + 4 + sqrt(425) + 1*sqrt(68))**2. -60*sqrt(17) + 1709 Simplify (sqrt(84)/(sqrt(315)/sqrt(5) + sqrt(7)) - (3*sqrt(9)*-2)/(sqrt(12)/sqrt(4)*6))*-4. -6*sqrt(3) Simplify ((sqrt(96) + 1*sqrt(96))*4)/(3*sqrt(9)/sqrt(3)*1)*1*-3. -32*sqrt(2) Simplify (-4*sqrt(52)*-1 - (2*sqrt(4212) - sqrt(4212)))/(sqrt(36)/sqrt(9)*-5*1*2). sqrt(13)/2 Simplify ((sqrt(120) - (sqrt(120)*1*-4 + sqrt(120)))/(sqrt(30)/sqrt(3)*-3))/(5*3*sqrt(270)/sqrt(5)). -4*sqrt(2)/135 Simplify -5*(sqrt(204)/(sqrt(24)/sqrt(2)) - 4*sqrt(17)*-5 - (-1*-3*sqrt(17) - (sqrt(17) + (sqrt(119) + sqrt(119) + 4*sqrt(119))/sqrt(7) + sqrt(17)))). -130*sqrt(17) Simplify ((0 + sqrt(3) + -1)*4 + 0)**2 + -5 + sqrt(144)/sqrt(3) + (sqrt(3) - sqrt(27)) + -2 + (-6*(2*sqrt(24) - sqrt(24)))/sqrt(8). -36*sqrt(3) + 57 Simplify (6*(3*sqrt(342) + sqrt(342)) + 3*2*sqrt(342))/(sqrt(2) + -6*3*sqrt(2) + sqrt(8)*5 + sqrt(8)). -18*sqrt(19) Simplify (-1*(sqrt(3600) + (sqrt(3600) - sqrt(3600)*2)) - sqrt(3600) - 6*sqrt(3600)*2)/((-1*(sqrt(84) + sqrt(84)*-2 + sqrt(84)) + sqrt(84))/(sqrt(112)*-6)). 3120*sqrt(3) Simplify 4 + (((2 + sqrt(17))*-5 - (-3*sqrt(17) + 3)) + -5*(sqrt(17) - (-1 + sqrt(833))))**2. -1008*sqrt(17) + 13656 Simplify sqrt(1300) + 0 + 4 - (2 + -2*sqrt(1300)) - (1*(-1 + sqrt(1300)) + sqrt(1300)*-3 + -1). 4 + 50*sqrt(13) Simplify 2*(sqrt(243) + 0) - -6*(sqrt(243) - (sqrt(243) + 0)) - ((sqrt(75)/(sqrt(5)*2))/(sqrt(5) - ((sqrt(720)*-2 + sqrt(720) - sqrt(720)) + sqrt(720))))**2. -3/676 + 18*sqrt(3) Simplify (((1 + sqrt(125))*-5 + -2 - 5*(sqrt(125) + (-1*sqrt(125) - sqrt(125)) + 2)) + -5)**2 + 2. 486 Simplify (sqrt(117)*4*1 - 4*(sqrt(117)*3 + sqrt(117)))/((sqrt(216)/(-2*sqrt(4)))/(sqrt(54)/(sqrt(27)/sqrt(3)))). 24*sqrt(13) Simplify ((-3*((sqrt(605) + 1 - sqrt(605)) + 2 - sqrt(605)) + -1 - -5*(1*(0 + sqrt(605)) - sqrt(605))*6)*3)**2. -5940*sqrt(5) + 49905 Simplify -5 + (2*((2*(sqrt(68) + -4 + sqrt(68)) + -5)*-1 + 2))**2. -960*sqrt(17) + 5247 Simplify 2*((sqrt(40) - -1*3*sqrt(40))/(3*(sqrt(80) + 3*sqrt(80) + sqrt(80))))**2. 16/225 Simplify (5 + -2*-3*(-1 + 2*(4 + (sqrt(637) - (sqrt(637) - 2*sqrt(637))) + sqrt(637))) + 5)**2. 26208*sqrt(13) + 828256 Simplify ((2*sqrt(150)*-4)/((sqrt(10)/sqrt(2)*-6 - sqrt(5)) + sqrt(5)))/(sqrt(726)*2*-3*3). -2*sqrt(5)/297 Simplify (6*sqrt(1408) + -2*sqrt(352))/((((sqrt(56) - sqrt(168)/sqrt(3)) + sqrt(56))/sqrt(7))/((sqrt(128)/sqrt(4) + sqrt(32))/sqrt(8))). 80*sqrt(11) Simplify (3 + (2*sqrt(1900) + sqrt(1900) + 2)*6 + 2)**2*5 + -4 + 1. 30600*sqrt(19) + 3079442 Simplify (((2*sqrt(405) + sqrt(405) + 3)*-6 - -1*5*sqrt(405)*-6) + -1)**2. 16416*sqrt(5) + 933481 Simplify 5 + (sqrt(24)/((sqrt(40)/sqrt(2))/sqrt(5)))/(sqrt(3) + 6*-1*sqrt(3) + (sqrt(12) + sqrt(108))/sqrt(4))*-5 + -3. 2 + 5*sqrt(2) Simplify 0 + 5*sqrt(891)*-2 + (6*4*(sqrt(11) + 4))**2. 4518*sqrt(11) + 15552 Simplify 2 + -6*(-3*(1*-2*sqrt(99) + -3) + 2)*2. -216*sqrt(11) - 130 Simplify ((-5 + (5*(sqrt(448) + 0 + sqrt(448) + 3) - -3*(sqrt(448) + -1 + sqrt(448) + sqrt(448) + sqrt(448))*1))*4)**2. 39424*sqrt(7) + 3470096 Simplify -1 + ((sqrt(9)/sqrt(3)*5 + 1 + sqrt(192))*4)**2 - 6*(sqrt(240)/(sqrt(35)/(sqrt(28) + sqrt(7) - sqrt(7))))**2. 416*sqrt(3) + 6975 Simplify (3*-3*sqrt(204)/sqrt(4)*3)/((-1*(sqrt(270) - 2*sqrt(270) - sqrt(270)))/sqrt(10)). -9*sqrt(17)/2 Simplify (-1 + (sqrt(16)*-1)/sqrt(8) + 1*sqrt(2) + -1 - ((sqrt(144) - (sqrt(144) - sqrt(144)*-1 - sqrt(144))) + sqrt(16))/sqrt(8)*-1) + -5. -7 + sqrt(2) Simplify ((-2 + sqrt(1377) + -3 - -1*(sqrt(1377) + sqrt(1377) + -2 + sqrt(1377))) + 6*((4 + (sqrt(1377) + -1 - sqrt(1377)) + sqrt(1377) - sqrt(1377)) + 2))**2. 1656*sqrt(17) + 22561 Simplify (((sqrt(80) - (sqrt(80) + -2*(-1 + sqrt(80) - sqrt(80) - sqrt(80)) + sqrt(80))) + ((sqrt(80) + -5)*-3 - sqrt(80)))*3)**2 + 2 + -3 + -1. -6552*sqrt(5) + 36799 Simplify (-3*sqrt(110)*-5)/(sqrt(10) - (1*sqrt(90) + sqrt(90))) - (sqrt(88)/(sqrt(72)*-2) - 3*(0 + sqrt(891)))**2. -292259/36 - 3*sqrt(11) Simplify 2 + 1*((-5*3*sqrt(156))/(sqrt(1728) + (sqrt(1728) - 1*sqrt(1728)) + sqrt(1728)))**2*-1. -197/64 Simplify (-6*sqrt(30)/sqrt(2))/(sqrt(15)/sqrt(12) + sqrt(5))*5 - (sqrt(54)/sqrt(128))/(sqrt(9) + 1*sqrt(576)). -1441*sqrt(3)/72 Simplify (0 + (0 + (3*sqrt(243)*2 - (sqrt(243) - (-2 + sqrt(243)) - sqrt(243))*4))*-2)**2*-1. -97456 + 5760*sqrt(3) Simplify 3 + 1*(sqrt(405)*-3 + sqrt(405)) + (sqrt(405) + -2)**2 + sqrt(405) + 5 + ((sqrt(405)*-2 + 2)*1*6)**2. -2637*sqrt(5) + 58881 Simplify 2 + 0 + (-5*(-4*(1*sqrt(153) + sqrt(153))*1)/(sqrt(45)/(-1*sqrt(5)*3)))**2. 244802 Simplify 5 + (-4 + -5 + sqrt(720)*-1)**2 + ((sqrt(1250) - (sqrt(1250) + sqrt(1250)*-2)) + sqrt(1250) + sqrt(50))/(sqrt(40)/sqrt(4)*-5). 1064*sqrt(5)/5 + 806 Simplify ((sqrt(1764)*-2 - sqrt(1764))*4 + 1*-1*sqrt(1764))/((sqrt(72)/(sqrt(4)/sqrt(2)))/(-2*sqrt(12))). 364*sqrt(3) Simplify (-2*sqrt(95)*3 - -5*sqrt(95)*5)/((sqrt(125) - 3*(sq
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of u(35)? 5281 List the prime factors of 6/3 + 4 + (1126 - 3). 1129 Suppose 0*x + 2*l + 124 = 3*x, -x = 5*l - 47. Let h be (28/x)/(4/30). Suppose -h*k + 36 = -224. List the prime factors of k. 2, 13 Suppose w = 4*w + 4*w. Suppose -4*d - 186 + 486 = w. What are the prime factors of d? 3, 5 Suppose z - 579 = 4*w, -5*w - 16 = -w. What are the prime factors of z? 563 Let f(n) = n**2 + 6*n + 5. Let x be f(-5). Let s be x/1 - -1 - -55. Suppose 3*h - 4*w - s = -h, -4*h - 3*w = -42. What are the prime factors of h? 2, 3 Suppose 0 = 23*o - 27176 - 36120. What are the prime factors of o? 2, 43 Let n(z) = 12*z**2 - 6. Let g be n(-3). Let k = g + 22. What are the prime factors of k? 2, 31 Let c(n) = 2*n**2 - 32*n + 2. Let z be c(16). Let i(g) = 3*g - 2. What are the prime factors of i(z)? 2 Let t = 1026 + -688. What are the prime factors of t? 2, 13 Let a be (-29 + 11)*4/(-6). Suppose -3*v + 6 = -a. Let k(o) = -o**3 + 7*o**2 - 5*o + 12. What are the prime factors of k(v)? 2, 3 Let a = 21 + -30. Let u(c) = 2*c**2 + c - 17. What are the prime factors of u(a)? 2, 17 Let p = 612 + 710. List the prime factors of p. 2, 661 Let d be ((-16)/3)/(-2)*-3. Let m(p) = p**3 - 4*p**2 - 3*p - 13. Let k be m(5). What are the prime factors of (d/(-6))/(k/(-36))? 2 Let o = 36 + -25. Suppose -8*y = -o*y + 228. What are the prime factors of y? 2, 19 Let j = -1602 - -2294. What are the prime factors of j? 2, 173 What are the prime factors of 2/(-3) + (-163380)/(-315)? 2, 7, 37 Let w(s) = 176*s - 1008. What are the prime factors of w(30)? 2, 3, 89 Let b(j) = 78*j**2 + 9*j + 80. What are the prime factors of b(-8)? 2, 5 Suppose -9 = -3*j + 6*j. What are the prime factors of (41 - (j + 2))/(5 + -4)? 2, 3, 7 What are the prime factors of (-1 - (770 - 5))*-1? 2, 383 List the prime factors of 86/1290 + 30418/30. 2, 3, 13 Suppose -4*x = x - 375. Let p = 91 + -37. Let m = x - p. List the prime factors of m. 3, 7 Let c = -587 + 1003. List the prime factors of c. 2, 13 Suppose -c + 42 = -38. Let q = -42 + c. List the prime factors of q. 2, 19 Suppose -26*i + 5 = -25*i. Suppose 940 = i*d - 320. List the prime factors of d. 2, 3, 7 Suppose 0 = 4*y + 3*n - 1499, -5*y + 1446 = n - 436. List the prime factors of y. 13, 29 Let r = -90 - -90. List the prime factors of 24*(r + 4) + -5. 7, 13 Let o = -1514 - -2842. List the prime factors of o. 2, 83 Let h = -104 + 106. List the prime factors of 0 + h - (2 - 3 - 155). 2, 79 What are the prime factors of (19 - 44) + 25 + 1063*4? 2, 1063 Suppose 4*m + 1 - 9 = 0. Suppose -m*k - 2 = -4. Suppose -4*b + k = -99. What are the prime factors of b? 5 Let s = 89 + -99. Let a(m) = 3*m - 7*m + 9 + 6 + 1. List the prime factors of a(s). 2, 7 Suppose -13*g + 5*o + 2445 = -8*g, 5*o - 999 = -2*g. What are the prime factors of g? 2, 3, 41 Let p(m) = -m**2 - 2*m + 6. Let x = -10 - -15. Suppose -14 = x*f + 1. What are the prime factors of p(f)? 3 Suppose 3*r = 2*r + h - 573, -h + 2849 = -5*r. Let j = 851 + r. What are the prime factors of j? 2, 3, 47 List the prime factors of (-15039)/(-6) + -10 + (-2)/(-4). 11, 227 Let v = 3989 - 2348. What are the prime factors of v? 3, 547 Suppose 5*s = 2*k + 47, -5*s + 3*k + 41 = 7*k. Let h = s + 43. What are the prime factors of h? 2, 13 Suppose 64 - 23 = 4*r - 5*n, 4*n = 2*r - 28. Suppose 3*g - 2*f - 64 = 0, -3*g + f - r*f = -39. List the prime factors of 2/(-1)*-1*g. 2, 3 List the prime factors of ((-50)/(-8))/(8/928). 5, 29 Let h(x) = x - 9. Let n be h(8). Let l be ((-8)/2)/(n*2). What are the prime factors of (-312)/(-9) - l/3? 2, 17 Let f(h) = -7*h + 2*h**2 - 2 + 79*h**2 + 61*h**2 - 4. List the prime factors of f(-1). 11, 13 Let c = 429 - 210. Suppose -c = -2*v - v. List the prime factors of v. 73 Suppose -11*f + 14*f - 12 = 0. Suppose -6*g = -11*g + 10, 2*g = -f*v + 236. List the prime factors of v. 2, 29 Let k = 373 - 178. What are the prime factors of k? 3, 5, 13 Let g(a) = 8*a**2 + 21*a. What are the prime factors of g(7)? 7, 11 Let y = -72 - -74. Suppose -5*l - 184 = -y*u, -1 + 87 = u - l. List the prime factors of u. 2, 41 Let n(g) = -10*g - 15. Let k(s) = s**2 - 5*s + 4. Let t be k(5). Suppose -y - 23 = 2*h, h - y + 40 = -t*h. List the prime factors of n(h). 3, 5 Let s(x) = -5*x**3 + 5*x**2 + 4*x + 3. What are the prime factors of s(-6)? 3, 7, 59 What are the prime factors of (-31682)/(-7) + (4 - 9)? 3, 11, 137 Suppose 4*b - 30 = 5*r + b, 4*b = -r + 17. List the prime factors of (-414 - r)*1/(-3). 137 Let n(y) = -22*y**3 - 2*y**2 - 3*y + 8. What are the prime factors of n(-3)? 593 Suppose 2*m = -y + 1403, -3508 = -7*m + 2*m - 2*y. List the prime factors of m. 2, 3, 13 Let x be 14*(-1)/(-4)*-2. Let g be 3 + (-3 - -3 - (1 - 3)). Let q = g - x. What are the prime factors of q? 2, 3 Let c(t) = -t + 11. Let s be c(3). Let z(r) = r + 8. List the prime factors of z(s). 2 Let f(q) = q**3 + 6*q**2 - 7*q + 4. Let z be f(-7). Suppose 0 = -2*a + 4*w + 176, 0 = z*a + 7*w - 3*w - 304. List the prime factors of a. 2, 5 Let q(a) = 20*a**2 + 38*a + 3. List the prime factors of q(-6). 3, 5, 11 Suppose -4*s - 4*y = -7*y - 3391, -3386 = -4*s - 2*y. What are the prime factors of s? 7, 11 Suppose 15 = 3*h, -3*p - 76 = -5*p - 2*h. Suppose 931 + p = 4*z + 5*w, 4*w + 1000 = 4*z. What are the prime factors of z? 2, 3, 41 Suppose -15251 - 5917 = -24*m. List the prime factors of m. 2, 3, 7 Let s = 22 - 20. Suppose -3*w - 601 = -5*r, s*r - 334 = -w - 87. What are the prime factors of r? 2, 61 Suppose 6*u = 5*z + 11*u - 21915, 2*u = 2*z - 8770. What are the prime factors of z? 2, 137 Let o = -80 + 134. Let y = o + -17. List the prime factors of y. 37 Let a(p) = p**3 + 5*p**2 - 5*p - 3. Let x be a(-5). Suppose -x = -3*q + 2*q. List the prime factors of q. 2, 11 List the prime factors of 42219/18*-1*-2. 4691 Let q(d) = 10*d - 80. What are the prime factors of q(28)? 2, 5 Let d = -20 + 26. Suppose -2*v + d + 22 = 0. List the prime factors of v. 2, 7 Let p(u) = 2*u**2 + 4 - 1 - u**3 - 2*u + u**2 - 16*u**2. Suppose 4*t - 5*c + 67 = 0, 30 = t - 4*t - 3*c. List the prime factors of p(t). 29 Let t(h) = 3*h + 9*h - 31 + 15. Let l be t(7). Suppose -w + l = 4*j - 3*w, -4*w = -4*j + 76. What are the prime factors of j? 3, 5 Suppose 8*p - 20 = 4*p. Suppose 3*f = -p*k - 10, -4*f - f = -2*k - 4. Suppose 3*w - 5*d - 161 + 19 = 0, -4*w + d + 212 = f. List the prime factors of w. 2, 3 Suppose 17*w + 39 = 4*w. What are the prime factors of (1085/(-15))/7*w? 31 Let o = -832 + 1630. What are the prime factors of o? 2, 3, 7, 19 Suppose 0 = 15*w - 47*w + 3840. What are the prime factors of w? 2, 3, 5 Suppose 9 = -g + 14. Let i be ((-1474)/55)/((-2)/g). Suppose 2*s + 5*q - i = -24, -4*s = 4*q - 56. List the prime factors of s. 3 Suppose -218711 = -40*h + 3129. List the prime factors of h. 2, 47, 59 Suppose 4*w + w - 31 = n, 5*n + 17 = 2*w. Suppose -3*r = 2*p + 2, -2*p - r - w = 3*r. Suppose 3*d - 2*d + 4 = 4*c, -p*c = -2*d + 7. List the prime factors of d. 2 Let i(f) = -9*f**3 - 10*f**2 + 26*f - 2. What are the prime factors of i(-6)? 2, 23, 31 Suppose -4*k = 4*o - 6420, 10*o = k + 5*o - 1575. What are the prime factors of k? 2, 5 Suppose -88 - 148 = 4*f. Let u = -5 - f. List the prime factors of u. 2, 3 Suppose -2*x = -6*x - 4. Let t = 1 - x. Suppose 0 = -5*s + t*s + 33. What are the prime factors of s? 11 Suppose -4*n - 37 = 19. Let f = n + 18. Suppose -30 = -f*m - 6. What are the prime factors of m? 2, 3 Let g(h) = 26*h**2 - 45*h + 152. List the prime factors of g(16). 2, 761 Let o(y) = -y**3 + 11*y**2 + 11*y - 29. Let m be o(12). Let x = 63 + m. List the prime factors of x. 2, 11 Let s = -8 - -20. Let j = 26 - s. List the prime factors of j. 2, 7 List the prime factors of (475/285)/(1/1365). 5, 7, 13 Let z(s) be the second derivative of s**3/6 - 4*s**2 + s. Let d be z(11). Suppose 2*h - 3*u = 21 - 8, -3*u = d. What are the prime factors of h? 5 Suppose 5*a = 1514 - 249. Let x = a - 157. List the prime factors of x. 2, 3 Let k(l) = l**3 + l**2 - 2*l + 3. Let w be k(0). Suppose -3*i = -5*n + 59, w*n - 31 = -2*i + 6*i. List the prime factors of n. 13 Suppose -5*w - 2*t = -32, 0 = w + 2*t - t - 4. Let s = w + -5. Suppose -106 = -3*c - c - n, -s*c - 2*n = -82. List the prime factors of c. 2, 13 Let f(b) = b**3 + 4*b**2 - 3*b. Let v be f(-
{ "pile_set_name": "DM Mathematics" }
- a - 7*p + 35*x wrt d. -a*p*x - 9624*a*p + a*x + 20*a Differentiate -3*h**4 + 2592*h**3 + h**2 - 747 with respect to h. -12*h**3 + 7776*h**2 + 2*h What is the second derivative of -2*n**4 + 6*n**3 + 1655*n**2 + 15196*n wrt n? -24*n**2 + 36*n + 3310 Find the first derivative of -3387*h**3 + 2*h*l + 40161*l - 1 wrt h. -10161*h**2 + 2*l Find the third derivative of -134897*m**4 + 52*m**2 + m - 34 wrt m. -3237528*m Differentiate h*j*r**2 - 3252*h*j*r + 2*h*j - 3176*h - 2*j*r**2 - 3*j + 2 wrt r. 2*h*j*r - 3252*h*j - 4*j*r What is the third derivative of 4389*a*l**5 + 10294*a*l**2 + a - 3 wrt l? 263340*a*l**2 Differentiate -264*o**3 + 141*o + 139969 with respect to o. -792*o**2 + 141 What is the third derivative of -35114*v**3 - 32*v**2 - 2*v - 63? -210684 Differentiate -324*a**3*d**2 - 228*a**3*d - 422*d**2 + 35*d wrt a. -972*a**2*d**2 - 684*a**2*d Differentiate -2*b**2*w**3 + 2*b**2 + 371*b*w - 2*w**3 - w**2 + 9*w wrt b. -4*b*w**3 + 4*b + 371*w What is the derivative of -1685*n**2 - 70*n - 317105? -3370*n - 70 What is the first derivative of 3*f**3*j**2 - 7499*f**2*j**3 - 6078*j**3 - 5*j**2 - 1 wrt f? 9*f**2*j**2 - 14998*f*j**3 Find the third derivative of 20553*i**3 + i**2 + 34*i + 146. 123318 What is the first derivative of 95*n**2*r**2 + 31*n**2*r - 2*n**2 + 5889*n - 6*r**4 + 5 wrt r? 190*n**2*r + 31*n**2 - 24*r**3 Find the second derivative of -2588054*h*v**4 + 4*h*v + 2*v**4 + 207501*v wrt v. -31056648*h*v**2 + 24*v**2 Find the second derivative of 338371*j**2 + 115*j - 1876. 676742 What is the first derivative of -68*g**4*o*u - 27*g**3*o + 18*o*u + 108*o + 7*u wrt g? -272*g**3*o*u - 81*g**2*o Find the first derivative of -p**2 + 36072*p + 76779 wrt p. -2*p + 36072 Find the second derivative of d**3*n**2 + 60*d**3*n - 2*d**3 + 121*d**2*n**2 + 4*d**2*n + 4*d*n**2 + 9*d*n + 12*n**2 + 2*n wrt n. 2*d**3 + 242*d**2 + 8*d + 24 Find the third derivative of -198*p**2*x**3 - 206*p**2*x**2 - 121*p**2*x - 69*x**3 wrt x. -1188*p**2 - 414 What is the first derivative of -54867*y**4 - 86685? -219468*y**3 What is the third derivative of 12932*w**5 + 2*w**2 + 35*w + 1 wrt w? 775920*w**2 Differentiate -4*n**3*t - 965717*n**3 + 55131*n**2*t wrt t. -4*n**3 + 55131*n**2 Find the third derivative of 11*x**5 + 7177*x**3 + 2*x**2 - 14724*x wrt x. 660*x**2 + 43062 Find the first derivative of -621834*f**2 - 157418 wrt f. -1243668*f Find the third derivative of -44731*i**3*k**2 + 45937*i**2*k - 3*k**2 wrt i. -268386*k**2 Find the first derivative of -220519*i**2 + 106031 wrt i. -441038*i Find the third derivative of 1451*x**6 + 12*x**3 + 157566*x**2 wrt x. 174120*x**3 + 72 What is the first derivative of 1060*p**3 - 2*p**2 + p + 40295? 3180*p**2 - 4*p + 1 What is the second derivative of 860228*l**2 + 802917*l wrt l? 1720456 Find the second derivative of -20*b**3*l*t**2 - 3149*b**2*t**3 - b*l*t**3 - 547*b*t + 4*l wrt b. -120*b*l*t**2 - 6298*t**3 Find the second derivative of -19*a*v**3 - 2*a*v**2 + 7391*a*v + 6*a - 1500*v**3 wrt v. -114*a*v - 4*a - 9000*v What is the second derivative of -782*t**3 + 8*t**2 - 30369*t wrt t? -4692*t + 16 Find the first derivative of 2*v**2 + 141509*v + 1913406 wrt v. 4*v + 141509 What is the first derivative of -225855*l + 163821 wrt l? -225855 What is the first derivative of 1619126*g - 938160? 1619126 Find the third derivative of 1283688*b**3 + 1178944*b**2. 7702128 Find the first derivative of 2*a*h**2*q**2 + a*h*q**2*u + 274*a*u + 5*h**2*q**2*u - 444*h**2*q + h**2 - q**2*u - 2*q*u wrt a. 2*h**2*q**2 + h*q**2*u + 274*u What is the second derivative of -441*x**3 + 1726*x**2 + 1092358*x wrt x? -2646*x + 3452 Differentiate 684226*b**3*c - 120011*b**3 + 2*b**2 with respect to c. 684226*b**3 What is the first derivative of -35309*l**2 - 27796 wrt l? -70618*l What is the second derivative of -36156*c**5 - 109429*c? -723120*c**3 What is the third derivative of -3443*y**4 + 37*y**3 - 117*y**2 - 2*y + 1630 wrt y? -82632*y + 222 Find the second derivative of 21*b**4 - 61*b**2*z**3 - 8*b**2 - 4*b*z**3 + b*z**2 - 2885*z wrt b. 252*b**2 - 122*z**3 - 16 What is the derivative of 162082*z**3 + 141780? 486246*z**2 Find the second derivative of 1285*d**4*m**2 - 30*d**2*m**3 - 77476*d*m**3 - 2*d*m**2 wrt d. 15420*d**2*m**2 - 60*m**3 Find the third derivative of -39704*d**5 - 798*d**2 - 4 wrt d. -2382240*d**2 What is the derivative of c**2*o - 285*c**2 - 9*c*o**2 + 6*c - 4206*o**2 + 2*o - 22 wrt c? 2*c*o - 570*c - 9*o**2 + 6 What is the third derivative of -4*f**2*m**3 + 40935*f**2*m**2 - 5*f**2*m + 14889*f*m**3 wrt m? -24*f**2 + 89334*f Differentiate d*f*i*k - 2498*d*i*k - 2656*f*i - i*k + 3 wrt d. f*i*k - 2498*i*k Find the third derivative of 317791*a**3 + 103129*a**2. 1906746 Find the third derivative of 5787*r**3*y**4 - r**3*y - 1365*r**3 - 17*r**2*y**4 + 20*y**2 wrt y. 138888*r**3*y - 408*r**2*y Find the third derivative of 37329*o**4 - 4*o**3 + 4*o**2 + 6935. 895896*o - 24 Find the third derivative of -273*a**2*g**4 - 22*a**2 - 205*g**6 - 799*g**2 wrt g. -6552*a**2*g - 24600*g**3 Find the first derivative of 30146*j**2*k**2*z - 3*j**2*k**2 - 39*j**2*z + 5*k**2 - 68102 wrt z. 30146*j**2*k**2 - 39*j**2 What is the third derivative of -1465243*n**3 - 528068*n**2 wrt n? -8791458 Find the third derivative of 14012*u**3 - 2*u**2 - 5602 wrt u. 84072 What is the third derivative of -522328*v**2*w**3 - 4*v**2*w**2 + 2*v**2*w - 3978*v**2 wrt w? -3133968*v**2 Find the second derivative of 5294*d**3*l**2 + 51*d*l + 24*l**2 wrt d. 31764*d*l**2 Find the third derivative of 106920*u**6 - 593*u**2 - 9*u - 4. 12830400*u**3 Find the first derivative of 57450*k**3 - 41374. 172350*k**2 What is the third derivative of -33*a*b**6 + 2501*a*b**4 - 3*a*b**2 - a*b - 181*a + b**2 wrt b? -3960*a*b**3 + 60024*a*b Find the second derivative of -367548*b**2 + 728671*b. -735096 What is the first derivative of 4*m**4 + 3218*m**2 - 60828 wrt m? 16*m**3 + 6436*m What is the third derivative of -2104*f**3*n**2 + 2*f**3*n + 221*f**3 + 2*f**2*n - 1411800*f*n**2 wrt f? -12624*n**2 + 12*n + 1326 What is the first derivative of 1778*r**2*x + 1672*r**2 + 2*r*x - 16*r + 4*x wrt x? 1778*r**2 + 2*r + 4 Differentiate -4764931*a**2 - 5192901 with respect to a. -9529862*a Differentiate -4791*a**2 - 38649 wrt a. -9582*a What is the third derivative of 19*g**6 + 82*g**4 + 12*g**3 - 19274*g**2 + 6*g + 1? 2280*g**3 + 1968*g + 72 What is the third derivative of 2*q**4*w + 110*q**4 - q**3*w**2 - 196*q**2*w**2 - 61*q*w wrt q? 48*q*w + 2640*q - 6*w**2 Find the second derivative of 21461*v**4 - 11484*v wrt v. 257532*v**2 Find the third derivative of 7709*f**4 - 45*f**2 + 120*f wrt f. 185016*f What is the second derivative of 3*h**3*j**2 - 10*h**3*j + 18*h**2*j - h**2 + 2*h - 30*j**2 + 94*j wrt h? 18*h*j**2 - 60*h*j + 36*j - 2 What is the second derivative of d*j**3 - 5*d*j + 8*d - 486165*j**5 + 6*j + 19 wrt j? 6*d*j - 9723300*j**3 Differentiate -d**4 - 3113*d**3*q - 3*d + 24227*q with respect to d. -4*d**3 - 9339*d**2*q - 3 Find the third derivative of 5751262*d**3 - 1863*d**2 + 2*d + 183. 34507572 Differentiate 558549*p**3 + 842344 wrt p. 1675647*p**2 What is the derivative of -2472*k**2*q**2 - 227*k**2*q + 403*k**2 + 411*k + 2 wrt q? -4944*k**2*q - 227*k**2 What is the second derivative of 483517*v**2 + 119198*v? 967034 What is the third derivative of -3*b**3*l**3 + 22783*b**3*l**2 + 2*b**3 - b**2*l**3 + 352*b**2*l**2 + 77*l**3 wrt b? -18*l**3 + 136698*l**2 + 12 Find the second derivative of -381835*p**4 + 229021*p wrt p. -4582020*p**2 Find the second derivative of 3717*j**4 - 46*j**2 - 329869*j + 9 wrt j. 44604*j**2 - 92 Differentiate -192172*d*o**4*u - 8777*d*u - 2*o**3*u + 30*u with respect to o. -768688*d*o**3*u - 6*o**2*u Find the third derivative of 335570*v**6 - 3*v**4 - 88*v**2 + 2923*v + 2. 40268400*v**3 - 72*v Find the second derivative of 50*u**4*x - 12*u**3 + u**2*x + 27*u**2 - 7*u*x + 2534*u - 31*x wrt u. 600*u**2*x - 72*u + 2*x + 54 What is the second derivative of -9*h**2*v**2 - 47*h**2*v - 9*h**2 + 4*h*v**2 + 15*h - 5*v**2 + 6 wrt h? -18*v**2 - 94*v - 18 What is the derivative of -12*f**2*w**2 - 11*f**2*w + 7325*f*w - 4482*w**2 + 108*w wrt f? -24*f*w**2 - 22*f*w + 7325*w What is the third derivative of 3*r**5*y**3 + 9467*r**4*y**3 + 5*r**2*y + 10191*r*y**3 wrt r? 180*r**2*y**3
{ "pile_set_name": "DM Mathematics" }
93*r = 92*r - 5. Give b(r). -42 Let i(v) = v**3 + 4*v**2 - 5*v - 5. Let o be (-20)/4 + 12 + -10. Suppose -4*r + r - 24 = 0. Let t = r - o. Give i(t). -5 Suppose 5*b = 5*c + 5, 5*b - 4*c = -5*c + 17. Let a(u) = 4*u**3 - 46*u + 49*u - b*u**3 - 5*u**2 - 1. Calculate a(2). -7 Let t be ((-2 - 5) + -5)*2/(-4). Let b be 120/(-16)*4/(-10). Let h(s) = s + 14*s + b - s**2 - 9*s. Determine h(t). 3 Let z be (4/(-10))/(7/(-105)). Suppose -38 = -m - h, -5*h + z - 47 = -2*m. Let b(o) = -11*o - 2 - 9*o - 17*o + m*o + o**2. What is b(5)? 3 Let u(h) = 14 - 25 + 2*h - 8*h + 4*h + 4*h. Give u(7). 3 Let o(z) = -14*z - 75. Suppose -13*k + 8*k - 37 = -7. Calculate o(k). 9 Let j = -4592 - -4595. Let z(i) be the second derivative of 1/12*i**4 - 1/2*i**2 + 0 + 22*i - 1/3*i**j. Give z(-3). 14 Let n(v) = -v**3 + v**2 + 2. Let l = -209 + 225. Suppose 0*i - l*i = 0. Give n(i). 2 Suppose 2*v = -11*v. Suppose v = -d + 41 - 45. Let q(h) = -h**2 - 3*h - 2. Calculate q(d). -6 Let y(o) = o**3 + 40*o**2 + 40*o + 46. Suppose 0 = -f - 4*g - 35, 2*g = 6*f - 11*f - 193. Let l be y(f). Let m(h) = -h**2 + 10*h - 10. Calculate m(l). 11 Suppose 5*k = -25, 2*f - 51*k + 48*k - 29 = 0. Let z be (-2)/9 - 32/18. Let q be (f - 19) + (-8)/z. Let g(w) = -w**2 - 9*w - 6. Give g(q). 2 Let t(r) = -4*r. Let u(l) = 3*l**3 + 14*l**2 - 19. Let s(q) = 13*q**3 + 57*q**2 + q - 77. Let f(a) = -2*s(a) + 9*u(a). Let z be f(-12). Calculate t(z). -28 Let s(m) = -153*m**2 + 1 + 154*m**2 - 14*m + 50. Let c be s(4). Let y(l) = l**2 - 12*l - 9. Determine y(c). -20 Suppose 252*v = 43*v + 4598. Let u(m) = -m**3 + 21*m**2 + 21*m + 11. Determine u(v). -11 Let q(c) = -c**2 - 14*c - 6. Let z(b) = 2*b**2 - 193*b - 2498. Let f be z(108). What is q(f)? -6 Let i be (-8)/7*(-5 + 221/26). Let w be (-94)/(-6) + (-2)/(-6). Let z be ((-9)/(-6))/(i/w) - 0. Let a(o) = o**3 + 5*o**2 - 5*o + 1. Give a(z). -5 Let s(r) = 10*r + 53. Let i be s(-5). Let o(g) = g**2 - 28*g - 2. Let z(b) = -b**2 + 14*b + 1. Let m(n) = o(n) + 2*z(n). Determine m(i). -9 Let j = -4 + 4. Suppose j*u - 8 = -p + 2*u, 4*p - u - 11 = 0. Let l(b) = -3*b**2 - b - 4. Let i(o) = -2*o - 2. Let k(c) = -2*i(c) + l(c). Calculate k(p). -6 Suppose -i - 1 = 3*p, -2*i - 4 = -2*p - 10. Suppose 10 = 7*x - 5*x + i*t, -15 = -3*x - 5*t. Let f(g) = 1 + 5*g - g**2 - 3 - 3. Determine f(x). -5 Let k(l) = 10*l**3 + 6*l - 3. Let b be (-11)/7 - (-54)/(-126). Let w(y) = -3*y**3 - 2*y + 1. Let c(j) = b*k(j) - 7*w(j). Determine c(1). 2 Suppose 64 = 4*w + 56. Let a(u) = w - 3*u - 5*u**3 - 3 + 9*u**3 - 3*u**3 - 3*u**2. Let j be (1 - (-3 + 0))*1. Determine a(j). 3 Let w = 16 - 23. Let z = -37 + 38. Let s(q) = -7*q + 20*q**2 - 21*q**2 + z + q. Determine s(w). -6 Let f(h) be the second derivative of -h**4/12 + 11*h**3/6 + 19*h**2/2 - h. Let x(l) = 929*l - 14851. Let z be x(16). What is f(z)? -7 Suppose 2*d = 6*d + 20. Let a(u) = -6*u**2 - 3 + 0*u**3 - 7*u + 15*u**2 - 15*u**2 - u**3. What is a(d)? 7 Suppose -4*b = -3 - 1. Let q be (2 + -86)*b/(-4). Suppose -7 = 14*i + q. Let f(m) = 3*m**2 - m - 2. Determine f(i). 12 Let j(t) = -10*t - 1. Let u(i) = 2*i + 11. Let h be u(-6). Let w(d) = -1. Let y(m) = 5*m - 32. Let l(g) = h*y(g) - 2*w(g). Let q be l(7). Calculate j(q). 9 Let o(m) be the first derivative of 14 - 2*m - 4/3*m**3 - 3*m**2. Calculate o(-3). -20 Suppose -2*r = -4*n + 7*n - 484, 740 = 3*r + n. Let g(x) = 249*x**3 - 3*x - 1 - r*x**3 + 2*x**2 + 5. Calculate g(-4). -16 Let y(z) = -6*z - 8. Let l = -48 + 37. Let o(h) = -16*h - 24. Let i(t) = l*y(t) + 4*o(t). Give i(10). 12 Suppose 63 = -2*g + 69. Let f(y) = 9*y + 3. Let i(j) = j + 3. Let b(v) = g*i(v) - f(v). Give b(0). 6 Let m(n) = -3*n - 24. Let w(j) = -j**3 + 42*j**2 - 324*j + 19. Let y be w(10). Determine m(y). 39 Let i(r) be the first derivative of -r**7/840 + 7*r**6/360 + 7*r**5/120 + 3*r**4/8 - 19*r**3/3 - 101. Let d(c) be the third derivative of i(c). Give d(8). 1 Let w(n) = -26 + 19 - 19 - 2 - 8*n - 25. Determine w(-5). -13 Let j(i) be the third derivative of -5*i**6/12 - i**4/24 + 55*i**2 - 10*i. Give j(1). -51 Let q(m) = 21*m + 122. Suppose -3*o = -a - 2 + 27, -38 = 4*o - 2*a. Calculate q(o). -4 Suppose 0 = 3*j - 3*z - 9, 4*j = 9*j - 3*z - 9. Suppose o + o = 4*f + 14, -2*f + 4*o + 8 = j. Let g(m) = 40*m - 5 + 0 - 43*m. What is g(f)? 13 Let o(k) = -k**3 - 4*k**2 + 14*k + 21. Let r = -1384 + 1379. Determine o(r). -24 Let i = -3 - -6. Suppose -i - 1 = -2*r. Let t(f) = -r*f**2 - 2*f + 2*f. Give t(1). -2 Suppose 2*y - 5 = -35. Let z(r) = 8*r + 123. Let t be z(y). Let i(n) = n + 3. Give i(t). 6 Let k(p) = 38*p + 1179. Let b be k(-31). Let h(t) = -t**3 - 2*t**2 + 1. Give h(b). -2 Let t(a) = a**3 - 9*a**2 + 13*a - 15. Let u be (-24 + -10 + 6 + 0)*2/(-7). Give t(u). 25 Let p(a) be the first derivative of -5*a**2 + 15*a + 1966. What is p(7)? -55 Let v(n) = n + 3. Suppose 68 + 64 = 4*l. Suppose -5*x = 138 - 323. Let y = l - x. Give v(y). -1 Let p be 24/18 + 16/6. Suppose 0 = -4*a + p*t + 3 + 1, 4*t - 8 = 0. Let u(d) be the second derivative of -d**3/2 - 6*d. What is u(a)? -9 Suppose -6*w = -30 + 18. Let x(f) = -7*f - f**w + 12 - 19 + 18. Calculate x(-9). -7 Let j(s) = 7*s**2 + 4*s + 1. Let z(t) = -8*t**2 - 5*t - 1. Let h(m) = -6*j(m) - 5*z(m). Let v be 3*(32/6)/(-8). Calculate h(v). -11 Let v(t) = -5*t**2 - 15*t + 34. Let u be -2*(-6 - (2 - 7)). Calculate v(u). -16 Let k(s) = -130*s + 642. Let g be k(5). Let n(q) = 11*q + 86. Give n(g). -2 Let t(g) = -18 - 12 + 31. Let x(b) = -2*b + 6. Let w(d) = -5*t(d) + x(d). Calculate w(-1). 3 Let y(o) = 3*o**2 + 15*o - 8*o**2 + 6*o**2 + 186 + 14*o - o. Determine y(-18). 6 Let d(l) = -l**3 - 4*l**2 + 8*l. Let n(v) = v**2 + 3*v + 8. Let j be n(-6). Let c = -17 + j. Suppose 24 = -c*z + 5*z. Determine d(z). 24 Let y(u) = 72*u - 1. Let w be (36/14)/(-3) - 13/(-7). Calculate y(w). 71 Suppose -475 + 171 = -76*r. Let w(k) be the first derivative of k - k**3 - 2*k**2 - 14 + 1/2*k**r. Determine w(3). 16 Let l(p) = -5*p**2 - 3*p + 0*p**3 + 3*p + 2*p + 3 + p**3. Suppose -4*q - 7*q - 2*q = 0. Suppose 3*c - 3 = q, -2*c + 6 = 5*t - 16. Calculate l(t). -5 Let u(z) be the first derivative of -z**5/120 - z**4/24 + 4*z**3/3 - 2*z**2 + 6. Let c(m) be the third derivative of u(m). Calculate c(-5). 4 Let q(d) = d - 1. Let v(z) = 4*z + 61. Let h be v(-13). Let o(i) = 2*i - 5. Let r(t) = h*q(t) - 2*o(t). Suppose 4 = -3*n - n. Give r(n). -4 Let r(q) = -2*q**3 + q**2 + 5. Let z be -1*(-2 + 5) - -7. Suppose -27*g + 29*g - h - z = 0, -3*g = h + 4. What is r(g)? 5 Suppose -2*x - d = 15, 45 = 6*x - 8*x + 5*d. Let w(k) be the first derivative of -k**3/3 - 9*k**2/2 + 2*k + 76. Give w(x). -8 Let l(c) be the second derivative of 1/3*c**3 + 213*c + 0 - 3/2*c**2. Determine l(6). 9 Let j(l) = 6*l**2 + 4*l + 7. Suppose 0 = -6*q + 9*q + 15. Let f(o) = o**2 + o. Let k(g) = q*f(g) + j(g). What is k(0)? 7 Let a(n) = -2*n - 3. Let f be a(-4). Suppose -f*x + 5*l - 70 = 0, -5*l = 4*x - 2*x. Let i(m) = -3*m - 14. Give i(x). 16 Let q = 2153 + -2143. Let d(f) = -2*f**2 + 9*f + 6. Calculate d(q). -104 Let l(j) be the third derivative of j**6/15 - j**5/30 - j**4/24 + j**3/6 - 858*j**2 + 2. Give l(-1). -8 Suppose 43*i - 208 = -47 + 54. Let n(h) = h**2 - 7*h - 4. Determine n(i). -14 Let w = -177773/12 - -14815. Let s(h) be the second derivative of 1/20*h**5 + 40*h - 5/2*h**2 - w*h**4 + 0 - h**3. What is s(8)? 11 Let x(b) be the first derivative of -1/4*b**4 + 12*b + 104 - 10/3*b**3 - 7/2*b**2. Determine x(-9). -6 Let w(b) = -8*b + b**3 + 7*b**2 + 10*b**2 - 71333 + 71370 + 25*b. Calculate w(-16). 21 Suppose -60 = 13*r + 44. Let m be r/(-6) - (-14)/3. Let q(d) = -2*d + 9. Determine q(m). -3 Let h(a) = 3*a - 51. Suppose 85*s - 1394 = 3*s. Determine h(s). 0 Suppose 3*r = 3*n, 2*n - 35 = -2*r - 39. Let d(y) = -8*y**2 - y - 1. Determine d(n). -8 Let c(w) = -8*w - 2. Let b = 13725 + -13733. Give c(b). 62 Let w(m) = 69*m + 45. Suppose -32*q + 4 + 16 = -52*q. Determine w(q). -24 Let l(z) = 18*z + 4. Let y(d) = 2 - 1 - 3 + 1 - 6*d. Let k(q) = -2*l(q) - 7*y(q). Determine k(-1). -7 Let z(u) be the second derivative of -u**5/60 + 3*u**4/8 + 26*u**3/3 - u**2 - 11*u + 5. Let h(o) be the second derivative of z(o). Determine h(0). 9 Let x(g) = -2*g + 2. Let k(t) = -t**2 - 15*t + 18. Let o be 6/39 - 420/26. Let h be k(o). Calculate x(h). -2 Let h(u) = 11 - 2*u**3 + u
{ "pile_set_name": "DM Mathematics" }
= -4*i + 3*i - 4*c. Let a be i/14 + 69/(-21). What is the remainder when (-5)/1 - a - -29 is divided by 14? 13 Let a = -10 - -20. Calculate the remainder when 1*((-3125)/(-95) - ((-8)/(-19))/(-4)) is divided by a. 3 Let l(c) = -c + 14. Let o be l(-13). Suppose -4*f + 25 = -o. What is the remainder when f is divided by 5? 3 What is the remainder when 7 - (1 - (5 + 396/4)) is divided by 28? 26 What is the remainder when 98 is divided by 3 - (-22)/(-8) - (-278)/8? 28 Suppose 42*d = 545 + 757. What is the remainder when 77 is divided by d? 15 Suppose -i = -5*y + 80, -i - 2 = -7. What is the remainder when y is divided by 25/(-3)*24/(-20)? 7 Suppose -b = -2*a - 1 - 2, -11 = -2*b - a. Suppose 2*v = -3*f + 59, -2*v + 101 = b*f + 2*v. What is the remainder when 31 is divided by f? 14 Let b = -17 + 28. Let r = 21 + -16. Suppose 0 = -4*u - 4, -2*u = r*d - 3*d - 60. Calculate the remainder when d is divided by b. 9 Let w(z) = z**2 + 5*z + 46. Suppose c - 16 = -3*s, 2*c + 4*s + 37 = 3*c. Calculate the remainder when w(0) is divided by c. 21 Let y(g) = -3*g**2 - g**2 + 5 + 2*g - g**2 - 9*g**3 + 2*g**2. Calculate the remainder when y(-2) is divided by 31. 30 Let n(j) = -16*j - 96. Calculate the remainder when 128 is divided by n(-7). 0 Let l(u) = -6*u + 3. Suppose -3*k = -17 + 2. Suppose 42 = 3*t + k*b - b, -6 = -t - 4*b. Calculate the remainder when l(-5) is divided by t. 15 Let c = -65 - -145. Suppose 0*j = 4*j + 2*p - 106, 0 = 4*j + 3*p - 105. Calculate the remainder when c is divided by j. 26 Suppose -54*v = -1706 - 11200. What is the remainder when v is divided by 40? 39 Let h(n) = -31*n - 7. Let t be h(-7). Suppose -5*l - t = -10*l. Let u(i) = 3*i + 6. What is the remainder when l is divided by u(3)? 12 What is the remainder when (-2 + 4 - 2) + 103 is divided by (-6)/(-9)*-39*-1? 25 Suppose 2*i - 48 = 4*m, 0 = 3*i + 3*m - 29 - 34. Calculate the remainder when i is divided by 13. 9 Suppose -5*i + 0*n = -2*n - 594, 237 = 2*i - n. Calculate the remainder when i is divided by 48. 24 Suppose -220 = -25*h + 330. Calculate the remainder when 305 is divided by h. 19 Let c = -77 + -39. Let m = c + 48. Let r = m + 107. What is the remainder when r is divided by 10? 9 Suppose 0 = -27*u + 34*u - 364. What is the remainder when 882 is divided by u? 50 Let q(i) = 55*i - 451. Calculate the remainder when q(23) is divided by 19. 16 Suppose 0 = 3*x - 6*x + c + 213, 60 = x - 4*c. Suppose -t + 39 = -z, 3*z = 2*t - z - x. What is the remainder when 124 is divided by t? 40 Suppose -3*g + 354 = -9. Calculate the remainder when g is divided by 38. 7 Let n(p) = -82*p + 518. Calculate the remainder when n(6) is divided by 1/(-4) + 29/4. 5 Suppose -120*z - 468 = -159*z. What is the remainder when 54 is divided by z? 6 Let v(f) = 3*f + 12. Let w be v(5). Let p = 85 - w. Let u = p + -38. What is the remainder when u is divided by 7? 6 Let g = -63 + 63. Suppose g = 7*b - 90 - 1. Calculate the remainder when 64 is divided by b. 12 Let i be (3/(-9))/(1/(-6)). Suppose 3*t - 398 + 68 = -2*s, 3*s = i*t + 508. Suppose 0 = f + 2*f - s. What is the remainder when f is divided by 19? 18 Suppose 56*x - 42 = 53*x. Suppose y = -y + 8. Suppose -y*p + 95 = -3*p. Calculate the remainder when p is divided by x. 11 Suppose -k = -5*c + c - 55, -4*c + 134 = 2*k. Suppose -5*l = 3*p - 41, -3*p - 3*l = 2*p - k. What is the remainder when (-999)/(-21) + 24/(-42) is divided by p? 11 Suppose 7*w - 95 = 59. Calculate the remainder when 305 is divided by w. 19 Suppose -k + 3*c = -25, -131 = 2*c - 127. Calculate the remainder when 116 is divided by k. 2 Let g(m) = -m**3 + 12*m**2 - 15*m + 7. Let l(j) = j**3 + 7*j**2 - 5*j - 17. Let d be l(-8). Let u = -31 - d. What is the remainder when g(u) is divided by 20? 17 Suppose -144*g + 60 = -134*g. Calculate the remainder when 29 is divided by g. 5 Let k(s) = 2*s - 4. Let m = -19 - -23. Suppose 23 = m*y - 29. What is the remainder when y is divided by k(4)? 1 Let w = 0 + -11. Let x(h) = -4*h - 35. What is the remainder when 13 is divided by x(w)? 4 Let b(f) = 11*f**2 - 3. Let r(m) = -m**3 + m**2 - m - 1. Let l(g) = b(g) - r(g). What is the remainder when l(-5) is divided by (3465/(-308))/(6/(-16))? 28 Let q be ((-10)/(-4))/((-11)/(-308)). Suppose 0 = -6*i + 178 - q. Calculate the remainder when 85 is divided by i. 13 Let a be 4017/27 + (-18)/(-81). Suppose t = 5*i - a - 11, 0 = -i + t + 28. Calculate the remainder when 162 is divided by i. 30 Let v be 1764/22 + (-184)/44 + 4. Suppose -3*x = -7*x + v. Suppose 47 = -3*s + 218. Calculate the remainder when s is divided by x. 17 Let t(m) = m + 7. Let j(d) = -d**3 + d**2 - 3*d + 3. Let y be j(0). Let z = 29 - 0. What is the remainder when z is divided by t(y)? 9 Let f(g) = 3*g + 35. What is the remainder when f(40) is divided by 41? 32 Suppose 3*j = -2*x - 10, -3*j - 5*x = j + 18. What is the remainder when 70 is divided by (-2)/j - 69/(-3)? 22 Suppose -23*k - 56 = -p - 25*k, 5*p - 220 = 5*k. Suppose 3*u - 3*y = 717, u - 2*y = 173 + 67. Calculate the remainder when u is divided by p. 46 Suppose 7*n - 2*n = 50. Let l = 57 - 30. Calculate the remainder when l is divided by n. 7 Let y = 309 + -211. Calculate the remainder when y is divided by 22. 10 Let p = 22 - 13. Suppose 0 = 4*f - p*f + 30. Calculate the remainder when 10 is divided by f. 4 Suppose -3*l + 47 = 2*s - 20, -l = 4*s - 109. What is the remainder when 153 is divided by s? 23 Suppose 0 = 10*j - 11*j + 494. What is the remainder when j is divided by 33? 32 Suppose 0 = -4*c + 3*c - 134. Calculate the remainder when (-2)/3 + c/(-3) is divided by 15. 14 Let c = 78 + -33. Calculate the remainder when c is divided by 40. 5 Suppose -5*p - 23 = -68. Let g = 34 + -48. Calculate the remainder when (-346)/g + 132/21 + -6 is divided by p. 7 Suppose 0 = -2*o + 3*a + 977, 5*o + a - 3313 = -845. Calculate the remainder when o is divided by 33. 31 Let v(a) = -a**2 + 12*a - 12. Let f(z) = z**3 - z**2 - 4*z + 4. Let b be f(3). What is the remainder when v(b) is divided by 3? 2 Suppose 0 = -8*b + 148 + 2508. Calculate the remainder when 2/(-4) - b/(-8) is divided by 14. 13 Let l(k) = -k**3 + 13*k**2 + 6*k - 30. Calculate the remainder when l(13) is divided by 26. 22 Let c(d) = -d**3 + 12*d**2 + d + 31. Calculate the remainder when c(12) is divided by 14. 1 Suppose -1 = -4*c + 3*c. What is the remainder when (128 - (0 + 1))/c is divided by 228/7 - 184/322? 31 Suppose -17 = -6*q + 4693. Calculate the remainder when q is divided by 130. 5 Suppose -4*a = -128 + 40. What is the remainder when a is divided by 14? 8 Let g(w) = -13*w - 28. Calculate the remainder when 69*((1 - -1) + -1) is divided by g(-4). 21 Let y(z) = z**3 + 26*z**2 - 28*z - 7. Let g be 1*1/(-6)*-9*-18. What is the remainder when 75 is divided by y(g)? 15 Suppose -3*k + 17 = 8. Suppose k*o = 253 + 11. What is the remainder when o is divided by 13? 10 What is the remainder when 174/(-2)*(-161)/69 is divided by 104? 99 Let f(v) = -9*v + 2. Let b be 15/6 + (-24)/16. Let s be f(b). Let r = 33 + s. What is the remainder when 102 is divided by r? 24 Let t = -20 + 20. Suppose 2*n - 3*n + 111 = t. What is the remainder when n is divided by 28? 27 Let o = 98 + -52. Suppose -6*j + 2*i = -4*j - 280, j = -2*i + 128. Calculate the remainder when j is divided by o. 44 What is the remainder when 1 - (3 + -234 - 2) is divided by 47? 46 Let b(k) = -15*k + 229. Calculate the remainder when 151 is divided by b(12). 4 Suppose 5*g = 2*g + 6. Suppose g*l - 14 = 10. Suppose 0*n - 6*n + l = 0. Calculate the remainder when 5 is divided by n. 1 Suppose -1 = -5*v + 4*u + 68, 71 = 3*v + 5*u. Calculate the remainder when v is divided by (-1 - 38/(-14))*14/4. 5 Let b = 335 - 200. Let v = -116 + b. What is the remainder when 74 is divided by v? 17 Suppose 0 = -14*w + 9*w + 35. Suppose -4*i - 2*u + 3*u = -14, i + 4 = 4*u. What is the remainder when w is divided by i? 3 Let w = -24 + 49. Let s = w + -5. Calculate the remainder when s is divided by 6. 2 Suppose 0 = 2*a + 3*m - 86, 26*a - 27*a + 43 = -m. Calculate the remainder when 169 is divided by a. 40 Suppose 102 = -n + 136. Calculate the remainder when 181 is divided by n. 11 Suppose -4*i + 6*i + 2 = 0. What is the remainder when i/((-1359)/339 + 4) is divided by 19? 18 Let y(g) = 3*g + 4.
{ "pile_set_name": "DM Mathematics" }
3/(1/(-2) + -1). Suppose 3*o = -3*h + 15, 8 = 3*h + 4*o - 7. Suppose 0 = 4*m + h*a - 26, -2*m + 2*a = m - 8. Sort r, m, 8 in decreasing order. 8, m, r Suppose 489 = -5*q + 3*w - 5*w, w - 498 = 5*q. Let x = q + 101. Let k(t) = -t**3 - t**2 + 2*t - 1. Let v be k(-2). Sort v, 5, x. v, x, 5 Let n = -73.6 - 10.4. Let q = 71.6 + n. Let r = q - -12. Sort r, -0.1, -1 in descending order. -0.1, r, -1 Let k = -259 + 264. Sort -4, 1, k in ascending order. -4, 1, k Let i = 30 + -25. Suppose 4*z - 4*s - 12 = 0, 0 = 7*z - 3*z + 3*s - 5. Suppose 3 = -3*a - 3*c - 3, a - 4*c = -z. Sort i, a, 2 in ascending order. a, 2, i Let v be (1 - 2/2) + -8. Let a = 1955 - 1959. Put a, -3, v, 4 in increasing order. v, a, -3, 4 Suppose -4*a + b - 70 = 0, a - 2*b - 3*b = -27. Let w = 24 + a. Suppose -9*z + 16*z = -35. Put z, -1, w in descending order. w, -1, z Let v = 295 - 297. Let z(m) = -m**3 - 4*m**2 + 7*m + 6. Let x be z(-5). Put 5, v, x in decreasing order. 5, v, x Suppose 4*v + 4*m - 76 = 0, 11 + 47 = 4*v - 2*m. Suppose 0 = -3*r + 2*g + 10, -4*r = -0*r - 2*g - v. Sort 4, -3, r in ascending order. -3, 4, r Suppose -29 = -v - 50. Put 1/3, v, -5, 0.3 in ascending order. v, -5, 0.3, 1/3 Let w = 5.83 + 0.17. Let g = w + 4. Let d = g - 10.3. Sort -1, -2/7, d in increasing order. -1, d, -2/7 Suppose 3*q = -5*x - 1, -4*q = 3*x - 3 - 3. Let z be q + -6 + 6/4. Suppose 3*i = -2*i - 25. Sort i, z, 1/5 in decreasing order. 1/5, z, i Let k = -3.213 - -3.06. Let d = k - 7.847. Sort -1/4, 4, d in descending order. 4, -1/4, d Suppose 2*r = -s - 55, 10*r = 3*s + 5*r + 165. Put -1, 5, s in ascending order. s, -1, 5 Let d be (-2)/(-9) + (263/(-9) - 5). Let q = d - -23. Put q, -5, 0, 1 in decreasing order. 1, 0, -5, q Let c = 897 - 900. Put -3/7, c, 8 in decreasing order. 8, -3/7, c Suppose 15*o = 14*o. Let d be 8 + -4 - (-3 - -2). Suppose o = d*z - 0*z + 40. Put -4, z, -5 in ascending order. z, -5, -4 Let a = 293 + -171. Let y = -118 + a. Sort y, -3, 5, 7 in descending order. 7, 5, y, -3 Let l = 0.418 + -0.418. Put -19, -3/5, l, -1 in increasing order. -19, -1, -3/5, l Let u(i) = i**3 + 6*i**2 - 13*i - 43. Let p be u(-7). Sort p, -36, -2 in descending order. p, -2, -36 Let l = -0.0066 + -0.2934. Sort -3/7, 10, l in increasing order. -3/7, l, 10 Let w be (-2)/(-3 - -1)*-8. Let k = -39 + 39. Suppose b - 3*i = -k*b - 3, -5*b + 5 = 5*i. Put b, 2, w in ascending order. w, b, 2 Let b = 545 - 542. Suppose 0 = 2*k - 7*k. Let r(c) = 5*c**2 - c - 1. Let n be r(-1). Sort n, k, b. k, b, n Let n(i) = 17*i**2 + 104*i + 11. Let j be n(-6). Let v be 17 - ((-3 - 2) + 2). Put -5, v, j, -2 in descending order. v, j, -2, -5 Suppose -5*r = 4*x + 26, -7 + 27 = -4*r - 3*x. Suppose 3*l + 88 = -l. Let n be 84/l - 2/11. Sort -1, n, r in ascending order. n, r, -1 Let z = 3 + -7. Let s = -3.9 - z. Let h = -208 + 208. Sort s, 0.4, h in descending order. 0.4, s, h Suppose -1 = -c + 4*v, v + 0*v = c - 4. Let g = 5 - c. Suppose 3*x + g*x - 9 = 0. Sort -1, 2, x in ascending order. -1, 2, x Let y(r) = -33*r + 294. Let t be y(9). Suppose -5*c - 24 = 2*n, -12 = 2*n + 3*c + 4. Suppose -5*p + 23 = 4*g, -p + 5*g - 4 = 3. Put p, n, t in ascending order. t, n, p Suppose 0 = 10*t - 1088 - 342. Suppose 147*y - t*y = -12. Sort y, 3, 1 in increasing order. y, 1, 3 Let c = -7 + 3. Let d = 684 + -2053/3. Put c, 6/17, d, 5 in ascending order. c, d, 6/17, 5 Let t be 17486/56 + (-14)/(-8). Put 4, 5, t, -4 in ascending order. -4, 4, 5, t Suppose 3*u + 36 = 4*n, -u = -4*n + 35 - 23. Put u, -1, -10 in increasing order. u, -10, -1 Let l = 4/5 + -17/15. Let h = 2.025 - 2.125. Sort l, h, 0.01, 1. l, h, 0.01, 1 Suppose o + 4*p = -9 - 7, 0 = -p - 3. Sort 5, o, 15 in decreasing order. 15, 5, o Let m = -976 + 993. Sort m, 3, 1, 2. 1, 2, 3, m Let f = 1 + -1. Let y = -10.4 - -10.76. Let k = y - -0.74. Sort -4/5, f, k in increasing order. -4/5, f, k Let x = -559 - -547. Let j = -557/5 + 112. Let o = -2 - -2. Sort o, j, x in decreasing order. j, o, x Let g(j) = -10*j + 167. Let r be g(19). Put -3, 3, r, -2 in decreasing order. 3, -2, -3, r Let d be (-6)/(-14) - 28/(-49). Let t = 41 + -45. Put 4, t, d in ascending order. t, d, 4 Let n = -105.7 + 12.7. Let k = -92.2 - n. Sort -1/3, k, -5 in descending order. k, -1/3, -5 Let a = 19 - 42. Let q = 46 + a. Suppose 5*r = 7 + q. Sort r, 1/4, -1/4 in increasing order. -1/4, 1/4, r Let x(h) = h**3 + h - 1. Suppose y - 1 = 2*y. Let k(m) = 5*m**3 + 2*m**2 + 2*m - 5. Let v(p) = y*k(p) + 4*x(p). Let c be v(-3). Sort 1, -1, c. -1, 1, c Let f = -3337/40 + 916027/11000. Let q = f - 4/125. Sort 0.1, 4/3, -0.3, q in increasing order. -0.3, q, 0.1, 4/3 Suppose 2*h - 3 = -h. Put h, -2, -6, 0 in ascending order. -6, -2, 0, h Let r be (4 + -3)*(23 - -1). Suppose -3*d + 6*d = r. Let l = d - 10. Put 3, l, 0 in decreasing order. 3, 0, l Let m = 5.3 - 38.9. Let y = m - -34. Sort -4, -3, y in descending order. y, -3, -4 Let o(c) be the first derivative of -5*c**2/2 - 70*c - 11. Let j be o(-14). Sort -2, j, -14 in increasing order. -14, -2, j Let d be 1 + 0/((-4)/2). Suppose 20*z + 369 = -351. Let f be (-6)/30 + z/20. Sort d, 2, f in ascending order. f, d, 2 Let u = 77.8 + -78. Put 5, u, -484/7 in descending order. 5, u, -484/7 Suppose -6*s + 34 = -8. Suppose -5 = -3*w + s. Put -3, w, -1 in descending order. w, -1, -3 Let l(x) = -8*x**3 - 73*x**2 - 14*x - 13. Let k be l(-9). Sort -0.05, k, 3 in descending order. k, 3, -0.05 Let y be 14/(-1)*1/(-2). Suppose -4*g - y = -3*g. Sort -1, 4, g in ascending order. g, -1, 4 Suppose -18*b + 11*b = -21. Suppose 2*w = -2*o + w - 1, -b*o - 5*w - 12 = 0. Put 5, 2, 9, o in increasing order. o, 2, 5, 9 Let x(a) = a**3 - 4*a**2 + 3*a - 17. Let j be x(3). Sort j, 7, -3 in increasing order. j, -3, 7 Let o(s) = s**2 + 23*s + 79. Let i be o(-19). Sort -42, -5, i in descending order. i, -5, -42 Let x = 5 - 4. Let t be (-1)/(-14*3/(-12) - 3). Put 9, x, t in descending order. 9, x, t Suppose 4*k + 3*t - 1 = -2, 0 = 2*k - t - 7. Suppose -u + 375 = 380. Put u, 4, k, -12 in ascending order. -12, u, k, 4 Let f = -2.58 - -3. Let z = f + -0.4. Let r = z + -0.52. Put -2/11, -2, r in increasing order. -2, r, -2/11 Let k = -0.4 + 25.4. Let m = 25.1 - k. Put 3, -3, m in ascending order. -3, m, 3 Let b(w) = 7*w + 44. Let s be b(-7). Let z be (-2)/(1 - -1) + 3. Let o(g) = -g**3 - 4*g**2 + 6*g + 5. Let k be o(-5). Put z, k, s in descending order. z, k, s Let r = -1/195 + 8/39. Sort -0.1, 3, r, 0.5. -0.1, r, 0.5, 3 Let s(d) = -2*d**3 - 7*d**2 - 24*d - 107. Let k be s(-4). Let g be (20/(-6))/(2/(-6)). Sort g, k, -2, 0. -2, 0, k, g Let o be 1408/20 - (-4)/(-10). Let h be (-5)/o*4 - 0/(-2). Sort -2, h, 11 in increasing order. -2, h, 11 Suppose 3*y - 24*q = -20*q - 3, -31 = 5*y + 2*q. Sort -4, y, -32. -32, y, -4 Let t(x) = -x + 2. Let y be t(0). Let n be 520/6 - (-10)/(-15). Let b = 85 - n. Sort y, 4/3, b in ascending order. b, 4/3, y Let p = -21 + 21.5. Let b = 5.4 + -3.5. Sort 1/4, p, b in decreasing order. b, p, 1/4 Let x(d) = d + 2. Let s be x(2). Suppose 4*j + 4 = -4*l - l, 0 = -3*j - 4*l - 4. Suppose -4 = j*o - 6*o. Put s, o, 4/3 in increasing order. 4/3, o, s Let d = 375 + -375.3. Put -6/5, 56, d, 3 in descending order. 56, 3, d, -6/5 Let h = -0.1 + 5.1. Let x(p) = -p**3 + 75*p**2 - 73*p - 78. Let o be x(74). Sort -5, o, h in increasing order. -5, o, h Let x = 0.0172 - -0.1828. Put -4, 2, x, 11 in descending order. 11, 2, x, -4 Let r(y) = y**3 - 8*y**2 + 10*y - 10. Let v be r(4). Let i = v + 38. Suppose 3*l - 3*c = -2*c - 15, -14 = 2*l - 2*c. Sort l, i, -2 in descending order. i, -2, l Let n be (1 + 0)/(7 + -8). Let p = -207 - -205. Put p, 5, n, -4 in decreasing order. 5, n, p, -4 Let a = 101 + -100.39. Let y = a + 0.39. Let q = 3 - 5. Put q, y, -5 in descending order. y, q, -5 Let a = -1113 - -1109. Let j(n) = -n. Let q be j(0). Sort -5, a, q, 4 in increasing order. -5, a, q, 4 Let t = 22 - 19. Suppose -5*r + 3*g - 21 = 0, -g - 6 = 2*r - 2. Sort 1, t, r in increasing order. r, 1, t Let u = -1.5 - 0.5. Let h = -7.1 - -3.4. Let l = 4 + h. Put 2, l, u in increasing order. u, l, 2 Let k be (-5)/(-1 - 0)*1. Let a = -318/17 - -1289/68. Sort a, k, -1/3 in descending order. k, a, -1/3 Let j(k) = 10*k - 26. Let c be j(3). Suppose -c = b + 2*g, -5 = 2*b - 3*g + 17. Let z = 880/7 - 126. Sort 0.5, z, b in descending or
{ "pile_set_name": "DM Mathematics" }
3 What is the value of (-9)/(9/3*22/(-44))? 6 (-4)/32*-4*-4 -2 48/30*7/(56/(-20)) -4 ((-38)/1197)/(((-15)/35)/(-1)) -2/27 -3*(-2)/((-8)/(24/(-27))) 2/3 What is (2*5/20)/((-5)/1)? -1/10 What is ((-2)/18)/(1/(-6))? 2/3 Evaluate 36/16*1*8/6. 3 (6*4/(-12))/11 -2/11 6/11*(20/(-6))/(-10) 2/11 What is (-24)/15*5/(-2)? 4 (-15)/((-195)/26)*(-1)/(-1) 2 What is (-2)/(((-2)/7)/(30/70))? 3 What is 9/72*-6*2/(-6)? 1/4 Evaluate 48/(-66)*(-2)/8. 2/11 What is the value of ((-720)/45)/(4*-1)? 4 What is (0/(-2))/(-3)*-1? 0 Evaluate (-35)/(-15)*(-15)/(-210). 1/6 What is ((-40)/(-12))/(10/(-15))? -5 Calculate 8/(-6)*((-30)/5)/48. 1/6 (2/4)/(((-390)/12)/13) -1/5 What is the value of (-3*(-4)/(-4))/(2/2)? -3 What is 6/(-8)*(-16)/(-24)? -1/2 Calculate (2/69)/(6*(-1)/(-18)). 2/23 What is 24/(-40)*(-25)/60*-3? -3/4 What is the value of (-10)/6*(-12)/5? 4 What is ((3/1)/((-90)/(-12)))/(-4)? -1/10 (3/6)/((-55)/44) -2/5 Evaluate 4*(-6)/5*70/(-112). 3 6/(-9)*5/(-230)*-6 -2/23 Evaluate (-3)/25*(-20)/(-4). -3/5 What is (2/(-18)*3)/((-4)/60)? 5 (6/15)/(12/18) 3/5 550/(-1375)*10/(-32)*10 5/4 What is 10/4*2/(-19)*-19? 5 Evaluate 2/56*6*(-14)/(-36). 1/12 Calculate (-6)/(-14)*(-14)/21. -2/7 (75/45)/((-15)/(-2)) 2/9 What is ((-4)/6)/(((-8)/9)/4)? 3 ((-4)/2)/(9*8/8) -2/9 Evaluate 33/22*1*(-4)/(-6). 1 What is the value of (2/(-17))/(185/185)? -2/17 Calculate (-18)/(-3)*(42/7)/(-6). -6 What is the value of ((0/1)/(-1))/1? 0 Evaluate (-1)/((-24)/(-64)*4/6). -4 What is the value of ((-5)/(-4))/((-8)/(-32))? 5 Evaluate -3*1*(143/39)/11. -1 (1/(-85))/((-6)/15)*4 2/17 What is ((-18)/24)/(4/16)? -3 40/(-4)*1/4*-2 5 Evaluate (2/18*-3)/(2/(-6)). 1 (-12)/(-84)*2/(-3) -2/21 What is (705/470)/((-1)/(-6))? 9 What is 260/156*1/2? 5/6 What is -2*(-9)/(-12)*2? -3 ((-6)/8)/(33*8/(-64)) 2/11 ((-2)/2*130/(-13))/(-2) -5 Calculate 1/(-7*(-112)/98). 1/8 -1*4*3/4 -3 (32/8)/(-2*7) -2/7 Evaluate (-60)/(-40)*(-16)/60. -2/5 Evaluate (((-10)/(-3))/1)/((-4)/(-6)). 5 Evaluate 0/((-4)/(28/(-7))). 0 1*(5/2)/((-5)/(-10)) 5 Calculate ((-3)/2)/((-5)/(-10)). -3 Calculate 33/(-18)*24/(-66). 2/3 ((-2)/(-10))/(357/595) 1/3 Evaluate (-4)/4*5/25. -1/5 What is (-32)/(-24)*(-18)/(-12)? 2 What is the value of ((-3)/(-5))/(30*3/300)? 2 Calculate (-3)/(1/(-4)*4/(-2)). -6 What is 1/(6/2)*42/(-7)? -2 15/(-10)*2/18 -1/6 What is (270/630)/((-1)/(-21))? 9 What is (-2)/((144/66)/(-12))? 11 Evaluate (-1)/(-5*5/500*-2). -10 Calculate 1/(-2)*(-106)/(-159). -1/3 Calculate 9*35/252*4. 5 Evaluate ((-2)/(-15))/((-3)/(-18)*4). 1/5 What is 12/(48/20)*2/(-10)? -1 (18/12)/(1*3/(-6)) -3 ((-9)/(-3))/(4*(-12)/(-32)) 2 What is the value of (418/(-55))/(-19)*2/2? 2/5 Evaluate ((-2)/7*-2)/((-390)/546). -4/5 Calculate 20/70*567/18. 9 What is the value of ((-185)/37)/(((-30)/(-4))/(-3))? 2 Calculate (((-4)/(-12))/((-2)/6))/(-3). 1/3 Calculate ((-4)/(-6))/((-17)/(-102)). 4 (-14)/(-8)*2*(-6)/(-84) 1/4 ((-6)/(-30))/(9/(-63)) -7/5 Calculate (16/2)/((-884)/(-1105)). 10 Evaluate (-120)/320*2*(-2)/(-6). -1/4 Calculate (9/((-27)/(-2)))/(4/18). 3 Calculate (-4)/(8/36*-6). 3 Evaluate (88/(-22))/(1*-4). 1 What is 2/(((-6)/60)/(2/(-8)))? 5 What is 15/(-20)*32/(-4)? 6 What is ((-4)/(-9))/(26/351)? 6 What is ((-6)/15)/((20/(-4))/25)? 2 1/(4*2/40) 5 6/(-3*1)*25/(-475) 2/19 Evaluate ((-312)/(-117))/((-2)/3). -4 What is the value of ((-6)/4)/((-21)/224*-4)? -4 What is the value of (-18)/(-15)*4/(-6)? -4/5 Calculate -10*((-4)/(-14))/(12/21). -5 (12/64)/((-45)/(-40)) 1/6 What is (-10*36/(-60))/(18/(-4))? -4/3 What is the value of (54/(-90))/((-4)/30*3)? 3/2 Calculate 1/(((-1)/2)/(5/2)). -5 What is the value of 4/10*690/414? 2/3 ((-5)/(15/(-6)))/(-2)*0 0 What is the value of (4*4/16)/(3/(-18))? -6 Calculate -4*2*137/(-9316). 2/17 Evaluate 35/49*(-9)/(-180)*-4. -1/7 What is 33/165*(-10)/4*2? -1 Calculate ((-200)/350)/(4/42*3). -2 Evaluate (3/((-15)/(-40)))/(-2). -4 What is the value of (3/(-5))/((-54)/20)? 2/9 What is (((-85)/(-20))/17)/(2/32)? 4 What is (-1)/(-40)*2*(-2)/(-1)? 1/10 What is (2/42)/((-3)/6)? -2/21 What is (-12)/20*(-140)/(-126)? -2/3 ((-4)/10)/((24/(-5))/8) 2/3 (-7)/(-14)*12/(-9) -2/3 Evaluate (-7)/14*16/6. -4/3 What is the value of 10/(-40)*4/2? -1/2 What is the value of 8*((-1)/8)/((-35)/20)? 4/7 What is (5*(-8)/(-20))/((-1)/2)? -4 Calculate 16/36*(-5)/(50/(-9)). 2/5 (-1*(-3)/12)/((-4)/16) -1 Calculate (9/2)/9*(-4)/2. -1 What is the value of (8*(-3)/(-6))/(-1)? -4 Calculate ((-3)/(-8))/(-3*2/(-8)). 1/2 Calculate (3/(-30))/((-6)/60*5). 1/5 What is the value of ((-2)/(-6))/((-82)/205)? -5/6 Evaluate ((-352)/132)/((-10)/3). 4/5 What is the value of 6/(-14)*12/252*-7? 1/7 ((-2)/10)/((-24)/20) 1/6 What is ((-21)/6)/(-7)*0? 0 Evaluate (1/(-3))/(28/21). -1/4 Evaluate 1/(4/48)*(-3)/(-6). 6 (((-161)/(-126))/23)/((-14)/(-63)) 1/4 What is ((-6)/(-8))/((-42)/224)? -4 Calculate (-6)/(1/(-1))*3/(-6). -3 What is the value of -1*4/((-16)/(-12))? -3 Evaluate 6/(-2)*((-9)/6)/(-3). -3/2 Evaluate (16/6)/((48/(-18))/(-4)). 4 Calculate 10*4*(-6)/48. -5 What is (8/(-7))/((-64)/(-224))? -4 What is 5/(-16)*20/50? -1/8 What is (-52)/(-130)*(-10)/4? -1 (-29)/87*24/(-2) 4 What is the value of 79/474*2*-1? -1/3 What is the value of (-2)/(-5)*(-2)/4? -1/5 Calculate (((-33)/(-6))/(-11)*8)/(-1). 4 Evaluate 10/12*(-204)/(-136). 5/4 Evaluate 70/(-42)*(-9)/(-3). -5 Calculate 3/6*48/120. 1/5 Evaluate (-4)/(-16)*1/(-6)*3. -1/8 What is 1*1/((-6)/2)? -1/3 What is the value of ((-27)/(-36))/(25/10)? 3/10 Calculate (56/84)/((-1)/1). -2/3 (-33)/11*16/36 -4/3 Calculate (-12)/24*0/((-12)/(-3)). 0 What is the value of (-60)/(-72)*(-1)/((-15)/3)? 1/6 (-8*(-5)/140)/(80/28) 1/10 What is ((-6)/(-9))/((-84)/126)? -1 What is 1/(((-20)/(-5))/(-4))? -1 Calculate 80/(-150)*3/(-4). 2/5 Calculate (5/20)/(3/12). 1 Calculate (1/3*3)/((-5)/15). -3 What is (-5)/(-2)*20/50? 1 5/6*(-43)/(430/(-8)) 2/3 Evaluate ((-2)/10)/((-19)/((-342)/(-9))). 2/5 What is 31/(930/20)*(-6)/(-4)? 1 What is the value of ((-2)/(-25))/((-42)/(-735))? 7/5 What is the value of ((-60)/50)/(((-24)/20)/(-3))? -3 ((-8)/30)/((-4)/(-10)) -2/3 Evaluate (1/(-1)*3)/(9/(-12)). 4 What is 1/((-4)/12)*(-2)/21? 2/7 Evaluate (9/(-36))/((15/(-12))/5). 1 Evaluate 14/14*4/2. 2 -4*(-1)/16*-4*-7 7 What is 0/(1/((-1)/(-6)*-3))? 0 What is the value of 6/(-15)*-1*(-30)/42? -2/7 49/(-42)*(-1)/(3/18) 7 (-18)/(-27)*(18/4)/(-1) -3 What is (37/(-37))/((-18)/(4/2))? 1/9 Calculate ((-5)/5)/((-1)/(-8)). -8 Calculate (102/34)/((-9)/2). -2/3 30/(-4)*12/(-18) 5 ((-2)/(-10)*0)/((-2)/2) 0 Evaluate ((-1)/5)/((-5)/15). 3/5 Calculate -1*(-4)/1*1. 4 Calculate ((-12)/(24/4))/((-16)/(-56)). -7 Evaluate ((-48)/72)/((-20)/(-24)). -4/5 Calculate 9/(-8)*(78/9)/(-13). 3/4 (0/((-6)/(-2)))/1 0 Evaluate ((-3)/14)/(6*3/(-24)). 2/7 Calculate (2/(-24))/((-13)/((-728)/14)). -1/3 What is the value of (((-45)/(-4))/(-15))/(33/(-8))? 2/11 Calculate -7*(-24)/420*-20. -8 (-6)/(((-495)/(-10))/11) -4/3 What is the value of ((-8)/56)/(18/12)? -2/21 Evaluate (2/2)/((-3)/12). -4 Evaluate (40/35)/(8/42). 6 What is the value of (-18)/27*(-1)/((-10)/(-6))? 2/5 Calculate (6/5)/((-6)/(-20)*-1). -4 Evaluate 2*2*(-405)/(-324). 5 What is the value of (-1)/14*28/(-14)? 1/7 Calculate (-3*(-2)/(-12))/(2/4). -1 Calculate (-1*7)/(98/(-42)). 3 ((-3)/(12/(-4)))/(4/(-8)) -2 What is the value of ((28/6)/7)/(4/9)? 3/2 Evaluate 42*(217/42)/(-31). -7 What is 2/(5*(-3)/(-30))? 4 Calculate ((-1)/(-5)*3)/((-9)/(-10)). 2/3 32/(-72)*-3*6/28 2/7 -1*(-2)/42*(-57)/(-19) 1/7 What is (20/15)/(3/(-9)*4)? -1 Evaluate 6/((-1)/((68/8)/(-17))). 3 What is the value of 2/(3*6/36)? 4 Calculate (3/(-10))/(522/(-232)). 2/15 Calculate (4*(-1)/(-10))/((-20)/25). -1/2 (-42)/(-35)*30/(-9) -4 ((-8)/(-6))/((-140)/(-84)) 4/5 ((-18)/(-80))/(1071/1785) 3/8 Calculate ((-6)/22)/((-12)/(-8)). -2/11 What is the value of 6*2*(-1)/4? -3 What is 5/9*86/(-215)? -2/9 Calculate 18/(-9)*-2*(-5)/(-230). 2/23 Calculate (15/(-4))/(-7*(-42)/784). -10 Evaluate (12/50)/((-18)/(-30)). 2/5 -3*7/84*-2 1/2 Calculate 11/((-330)/(-12))*15. 6 6*(-14)/(-12)*(-4)/(-14) 2 (0/(1/5*5))/(-3) 0 What is the value of 16/(-14)*756/648? -4/3 What is the value of 2/((-4)/((-12)/(4/4)))? 6 (-10)/2*5/(-15)*3 5 Calculate (-2)/5*(-4)/((-308)/35). -2/11 What is (-16)/(-2)*(-6)/12? -4 What is -7*(12/(-112))/3? 1/4 16/(-10)*31/62 -4/5 ((-48)/128)/((15/2)/(-5)) 1/4 -3*((-4)/(-18))/((-5)/5)
{ "pile_set_name": "DM Mathematics" }
Let m(z) = -19*z**2 + 1. Determine m(a). -18 Let q(t) = -4*t + 1. Let d(i) = 9*i - 1. Let m(g) = 3*d(g) + 7*q(g). Determine m(4). 0 Let g(q) = q**2 - 5*q - 2. Let u be g(5). Let c(w) = -9*w - 1. Determine c(u). 17 Let k be -4 + 1 - 7/(-1). Let w(n) = n**2 - 5*n + 1. What is w(k)? -3 Suppose -q = -2*q. Let x(d) = q - d - 1 - 1. Give x(-4). 2 Let c(u) be the third derivative of -u**8/6720 + u**7/840 - u**6/360 - u**5/120 - u**4/12 + 5*u**2. Let s(v) be the second derivative of c(v). Calculate s(3). -7 Let b(u) = -u - 3. Let q(v) = v**2 - 5*v. Let p be q(5). Give b(p). -3 Let k(n) = -2 - n**2 + 3*n + 2 + 3*n**2 + 1. What is k(-3)? 10 Let a(y) be the second derivative of 4*y**3/3 - 3*y**2 + y + 32. Determine a(4). 26 Let t(q) = q - 13. Let y be ((-88)/(-20))/(2/5). Let c be t(y). Let p(z) be the third derivative of z**5/30 + z**4/6 + z**3/2 - z**2. Calculate p(c). 3 Let d(v) = 1 - 17*v + 0 + 19*v. Give d(-2). -3 Let m(o) = -o**3 + 5*o**2 + o**3 + o**3 - 4 - o. Let y be (-2)/2*(-1 + -6). Suppose y*a - a + 30 = 0. Give m(a). 1 Let a be (-1)/3 - 7/(21/2). Let z(w) = 2*w + 1. Calculate z(a). -1 Let t(q) = -q**3 - 2*q**2 + 7*q**2 + 3 + 2*q - 9*q**2. Calculate t(-2). -9 Let t be (-13 + 16)/(1 + -2). Let a(z) = 2*z**2 + 2*z - 1. Give a(t). 11 Let b(n) = 4*n - 2 - 9 + n**2 + 11. Give b(-5). 5 Let r(f) = -7*f - f**3 + f + f**3 - f**3 + 5*f**2. Determine r(4). -8 Let l(x) = 5*x + 1. Let g = 9 + -8. Suppose -5*w = g + 4. Calculate l(w). -4 Let b = -14 - -12. Let p be (1 - (-2 - -4))*b. Let r(f) = 2*f + 2. Give r(p). 6 Let q(n) = n**3 + 7*n**2 - n - 4. Let k be q(-7). Suppose -2*u + k*j - 10 = 0, 0*u = -2*u - 5*j + 22. Let b(c) = 10*c**2 + c - 1. Determine b(u). 10 Let y(q) = q**2 + 5*q - 6. Let k = 9 - 15. Calculate y(k). 0 Let p(n) = -2*n + 11. Let c(a) = 2*a - 13. Let s(j) = -6*c(j) - 7*p(j). Calculate s(1). 3 Let m be (91/(-28))/(2/(-8)). Suppose -8*g = -m*g + 10. Let u(j) = 4*j - 6. Let k(z) = 12*z - 17. Let i(o) = -3*k(o) + 8*u(o). Give i(g). -5 Let d(n) = 2*n + 5. Let m(z) = -2*z - 4. Let q(x) = 6*d(x) + 5*m(x). Determine q(-9). -8 Let j be (-21)/(-6) + (-2)/4. Let f(a) = 2*a - j + 1 + 4. Calculate f(3). 8 Let u(c) = -2*c**2 + 4*c + 1. Let x = 14 - 20. Let p be (14/x)/((-1)/(-3)). Let k(y) = -3*y**2 + 6*y + 2. Let g(w) = p*u(w) + 5*k(w). Give g(-2). -5 Suppose 7 = -2*d + 1. Let f(a) be the third derivative of -a**6/120 - a**5/30 + 5*a**4/24 + a**3/3 - 55*a**2. Determine f(d). -4 Suppose -2*v = -10 + 22. Let g be (0 - 1)*(v + 11). Let a(k) = 6*k**3 + 10*k**2 + 6*k. Let r(j) = 5*j**3 + 9*j**2 + 5*j. Let h(q) = 4*a(q) - 5*r(q). Give h(g). 5 Let z(i) = i**3 + 7*i**2 + 6*i + 5. Let m be z(-6). Suppose 5*g - 35 = 4*u, 0 = 5*g - 2*u - 14 - 11. Let c(h) = 6*h**2 + 6 - h - h - h**g - 3*h. What is c(m)? 6 Let j(x) be the first derivative of x**3/3 - x**2 - x - 2. Suppose -2*u = -4*u - 2. Give j(u). 2 Suppose w + 4*i - 14 = 0, -4*w - i + 11 = -0*w. Suppose -w*n = -n. Suppose n*o = -2*z - 3*o + 15, -2*z = 4*o - 18. Let g(b) = -b**2 + 3*b - 1. What is g(z)? -1 Let p be (-148)/(-6) + 14/42. Let h(n) = 10*n - 1 + 12*n + 0*n**2 - p*n + n**2 + 2*n**3. Determine h(-2). -7 Suppose -10 + 22 = -6*z. Let m(y) = 4*y**2 + y - 2. What is m(z)? 12 Let w(n) = -n**2 - 10*n. Let v(t) = -t**2 - 11*t - 1. Let m(f) = 4*v(f) - 5*w(f). Give m(-6). -4 Let s = 1 + 0. Let x(n) = -4*n - n**2 + 4*n + s. Let w be x(-2). Let b(j) = j**2 + 2*j + 2. What is b(w)? 5 Let c(j) = -2*j + 5*j + 16 - 15. Calculate c(3). 10 Let w = -7 - -4. Let s(r) be the third derivative of r**4/24 + r**3/2 + r**2. Determine s(w). 0 Let b = -5 - -6. Let v(o) = o + 3*o + 6*o + b + o. Give v(1). 12 Suppose 3*w - 4 = -3*s + 2, s = 5*w + 14. Let k(b) = 1 + 4 - 10 + 3*b. Calculate k(s). 7 Suppose -2*t + 0 + 10 = 0. Let b(q) = -7*q**2 + 5*q - 4. Let p(z) = 3*z**2 - 3*z + 2. Let h(a) = 2*b(a) + 5*p(a). Give h(t). 2 Let r = 13 - 9. Let x be r/(-18) + 6/27. Let q(h) = -h**2 + 3. What is q(x)? 3 Let k(z) be the third derivative of z**5/60 + z**4/4 + 5*z**3/6 + 20*z**2. Let b(l) = l**2 - 7*l - 4. Let q be b(7). Determine k(q). -3 Let o(z) = 4*z**2 + 4*z + 3. Let h = 30 + -19. Suppose 2*t + h - 3 = 0, -2*x - t - 4 = 0. Suppose -3*q + 2*a + 0*a = x, -3*a - 5 = -2*q. Determine o(q). 11 Let j(c) = 2*c**2 + 8*c - 9. Let u(s) = 3*s**2 + 9*s - 10. Let t(x) = -4*j(x) + 3*u(x). Let q(g) = -g**3 + g**2 - g + 5. Let o be q(0). What is t(o)? 6 Let z(d) = 30*d**2 + 37*d**2 - 68*d**2 - 4 + 8*d. What is z(8)? -4 Let s(w) = -2*w - 3. Let q(c) = -2*c**3 + 11*c**2 + 5*c - 1. Let m(d) = d**3 - 5*d**2 - 2*d + 1. Let z(t) = -5*m(t) - 2*q(t). Let h be z(3). Calculate s(h). 3 Let b(g) be the third derivative of g**5/60 + g**4/8 + g**3 + g**2. Let c(d) = -1. Let v(i) = b(i) + 4*c(i). What is v(-3)? 2 Let i(g) = -3*g - 7. Let o(m) = m**2 + 3*m + 4. Let q be o(-3). Suppose -7*t - 15 = -q*t. Determine i(t). 8 Let f(l) = -1 + 5*l + 0 - 2*l**2 + l**2. Let d(z) = -2*z - 1. Suppose -5*w + w = 8. Let g be d(w). What is f(g)? 5 Let i(n) = -n**3 + 3*n**2. Let k(q) = -3*q**2 + 2*q - 2*q**3 + q**3 - q. Let j be k(-4). Suppose -j = -3*x - x. Give i(x). 0 Let w(d) = d**3 + 12*d**2 - 10*d + 11. Let u(p) = p**3 + 2*p**2 - p + 1. Let x(a) = 2*u(a) - w(a). What is x(7)? -2 Suppose 5*y - 5 = 5. Let f be (y + 0)*28/14. Let u(b) = -b**3 + 5*b**2 - 6*b. Determine u(f). -8 Let w = 69 + -62. Let r(m) = -m**2 + 9*m - 10. What is r(w)? 4 Let v = 0 + 1. Let b(q) = 8*q - 6. Let g(k) = 8*k - 5. Let z(j) = -4*b(j) + 5*g(j). Calculate z(v). 7 Let t(f) = 4*f - 2. Suppose -w - 2*u - 3 = 0, 2*w - 4*u - 10 - 16 = 0. What is t(w)? 18 Let m = -1 + -1. Let h = 0 + m. Let t(p) = -2*p**3 - 2. Give t(h). 14 Let u(y) be the second derivative of y**5/20 - y**3/6 + y**2 - y. Determine u(-2). -4 Let i(w) = w**3 - w**2 + 4*w - 3. Let u(t) = -3*t - 5. Let z be u(-5). Suppose 3*m - 6*m + 3*h = -18, -3*h - z = m. Calculate i(m). 9 Suppose -2*t - 56 = -6*t. Let m = t + -8. Suppose -h = 2*h - m. Let i(f) = 3*f + 2. What is i(h)? 8 Let r(u) = -26*u**2 - 14*u - 14. Let d(f) = 9*f**2 + 5*f + 5. Let a(x) = 11*d(x) + 4*r(x). Let w be a(-1). Let i(p) = 4 - p**2 - 4*p - p + 2*p. What is i(w)? -6 Let l = -4 + 9. Let y be (8/10)/(1/l). Let s(v) = -6*v + 3*v - v + 3*v. What is s(y)? -4 Let s(z) be the first derivative of -3*z**2/2 - 6*z + 1. Suppose -6 = -3*g, 5*q - g + 18 = q. Calculate s(q). 6 Let m(d) = -d**3 - d**2 + d. Let n = 16 - 14. Give m(n). -10 Let k(c) = c**2 - c + 5. Let d be ((-12)/(-2))/(8/(-12)). Let q be 0*3/d*1. What is k(q)? 5 Let h(w) = 2 + w + 1 - 2. Let y(a) = -3*a - 7. Let i(q) = 4*q + 6. Let m(f) = -6*i(f) - 5*y(f). Let u(j) = 6*h(j) + m(j). Give u(4). -7 Let v(j) = j**3 - 4*j**2 - 6*j. Let d = -109 - -114. What is v(d)? -5 Let f(z) = -z**3 - z**2. Let a be f(-1). Let j(y) = 6*y**3 - 5*y**2 - 5*y - 5. Let s(c) = -7*c**3 + 6*c**2 + 6*c + 6. Let x(w) = 6*j(w) + 5*s(w). Give x(a). 0 Let o(h) = h - 3. Let q be o(5). Let n(d) = -1 - 3*d + 1 - 7 + q*d. Determine n(-4). -3 Let w = -6 - -4. Let r(g) = -4. Let d(s) = -3*s - 2*s + 4 - 5 + 6*s. Let o(j) = -3*d(j) + r(j). Calculate o(w). 5 Let d(t) = t**3 + 4*t**2 - 2*t + 7. Suppose -5*f + 8*f + 15 = 0. Determine d(f). -8 Let w(s) = -s**2 + 6*s. Let g be w(4). Let j be (-39)/12 - (-2)/g. Let z(m) = -m**2 + m + 3. Determine z(j). -9 Suppose 5*x + z + 12 = 0, 0 = -x + z + z + 2. Let b(w) = 4*w**2 - 28*w - 34. Let s(r) = -r**2 + 9*r + 11. Let l(c) = x*b(c) - 7*s(c). Give l(-6). -3 Let g(v) be the second derivative of -v**5/20 + v**4/3 + v**3 + 5*v**2/2 + 4*v. Determine g(5). 10 Let n be ((-4)/(-3))/(4/6). Let y be (-92)/28 - 2/(-7). Let a = n - y. Let z(b) = b - 7. Give z(a). -2 Let v(n) be the third derivative of n**6/120 - n**3/6 + 2*n**2 + 4. Let m be (2/(-4))/((-1)/2). What is v(m)? 0 Let n(l) = -l**2. Let g be n(-1). Let o(v) = v**2 - 1. Let i(r) = -7*r**2 + 5*r + 6. Let h(u) = g*i(u) - 6*o(u). Calculate h(5). 0 Let l(z) be the third derivative of z**8/6720 - z**7/2520 - z**6/240 - z**5/120 + z**4/12 + 2*z**2. Let a(c) be the second derivative of l(c). Determine a(-2). -7 Let k(d) = -52*d + 31*d + d**2 + 22*d - 13 - d**3. Determine k(0). -13 Let b(a) = -4*a**2 + 0*a**3 - a**3 + 0*a**2 + a + 0*a**3. Let k be (12/18)/((-1)/6). Calculate b(k). -4 Let y = 4 - -2. Let a(o) be the first derivative of -o**2/2 + 8. Calculate a(y). -6 Let m(w) be the
{ "pile_set_name": "DM Mathematics" }
s -2/9 >= -52? True Which is smaller: 12857/4 or 3215? 12857/4 Are 0 and -266 nonequal? True Which is greater: -1 or 0? 0 Is -227 at most as big as 1? True Which is greater: 417/16 or 25? 417/16 Which is bigger: 14 or -2/133? 14 Which is greater: 1535 or 1537? 1537 Which is bigger: -2/3 or 1519? 1519 Are -1540 and -1552 non-equal? True Which is bigger: 6/91 or 0? 6/91 Is 1/53530 at least as big as 0? True Which is bigger: -272 or 27? 27 Which is smaller: 10 or -903? -903 Which is smaller: -20 or 29? -20 Is 1 at least as big as -2/20853? True Is 0.3 != -0.1? True Is 679 less than 1/8? False Is -18/11 bigger than 44? False Do -4/3617 and -1 have different values? True Is -545 at most as big as -543? True Is 23/15 bigger than 2? False Is -169 > -25? False Which is bigger: 384/151 or 3? 3 Are -1 and -6 unequal? True Are -2956/3 and -984 equal? False Is 1/738 at most 0? False Is -2 >= 41/2? False Which is smaller: -1 or 4/1245? -1 Which is bigger: -72 or -506/7? -72 Which is smaller: -12/5 or 4/67? -12/5 Is -14417 greater than or equal to -14417? True Which is bigger: 680 or 686? 686 Which is greater: 47 or 49? 49 Which is bigger: -7 or -8? -7 Which is smaller: 1/4 or 233/2? 1/4 Is 1148 greater than 1150? False Which is greater: -2 or 11.76? 11.76 Is 177 smaller than 177? False Which is bigger: 1.1 or -0.65? 1.1 Which is greater: -80 or 2? 2 Do -1 and -38/23 have the same value? False Is -794 > -12? False Is -153 >= -132? False Which is bigger: 2/1575 or 0? 2/1575 Which is greater: -3/101 or -1? -3/101 Is 180 equal to 177? False Which is smaller: -91 or -42? -91 Which is bigger: -1 or 3/6230? 3/6230 Which is smaller: 11/68 or -1? -1 Which is bigger: -0.02 or -119? -0.02 Which is smaller: 0.5962 or 1? 0.5962 Which is bigger: -41/263 or 1? 1 Which is smaller: 1946/11 or 176? 176 Is -50 at least -51? True Is -153 greater than -152? False Is 277 less than 279? True Is 79/16 bigger than 4? True Is -10/2991 greater than or equal to 0? False Which is greater: -3 or -87? -3 Is -51 < 0.2? True Is -98 greater than or equal to 0.5? False Is -3608 at most as big as -3608? True Which is smaller: 1 or -3/1052? -3/1052 Do -3521 and -3521 have different values? False Which is smaller: -1 or -98/83? -98/83 Are -1/46 and 3/5 unequal? True Is 260 equal to 18? False Is -48 <= -37? True Are 1400 and 1395 equal? False Is 1/3 not equal to 0.827? True Which is bigger: 0.2 or -15/26? 0.2 Is 149 < 157? True Which is greater: 91/68 or 1? 91/68 Which is smaller: 3/2762 or -1? -1 Is 2 bigger than 0.091? True Which is greater: 0.9 or -24.4? 0.9 Are 73 and 66 non-equal? True Which is greater: 494 or 4933/10? 494 Which is bigger: -1065 or -1064? -1064 Is 5636 at most as big as 5637? True Does -36 = -37? False Which is greater: 0 or -4/253? 0 Is 1 >= 14/27? True Are 1/3 and 2076 non-equal? True Are -0.2 and 154/25 nonequal? True Which is bigger: 1695/8 or 212? 212 Is -1036 equal to -1030? False Is 3/8 greater than -1/1495? True Which is bigger: 1/8032 or 0? 1/8032 Do 118 and 117 have the same value? False Is 78 > 1/2? True Which is greater: 2594 or 2/5? 2594 Which is smaller: 51 or -2/3? -2/3 Is 0 < -6/211? False Is -0.509 greater than or equal to 1/4? False Is -60 != -7/5? True Are -57 and 1 non-equal? True Which is smaller: 3126 or 1/4? 1/4 Is -3783 < -3783? False Which is bigger: -97 or -27? -27 Is 94 at most as big as 95? True Is -2.14 at least 0.038? False Are -0.269 and 0.1 nonequal? True Which is smaller: -161.1 or -1/3? -161.1 Is -35/26 bigger than -2? True Which is bigger: 2/13 or 2.486? 2.486 Is -474 at least as big as -2837/6? False Which is greater: 2 or 16.3? 16.3 Do -21 and -24 have the same value? False Is 455 <= 456? True Are -236 and -162 non-equal? True Which is smaller: -3/5 or 1/2? -3/5 Which is smaller: 4 or -69? -69 Is 0 greater than -22/15? True Does 1/6 = -1689? False Which is smaller: -1056/25 or -41? -1056/25 Which is smaller: 0 or 2/1185? 0 Which is smaller: -10.4 or -0.1? -10.4 Which is smaller: 196 or 2? 2 Which is bigger: -62/89 or -2? -62/89 Is 1 <= 3/1057? False Is -208 < -208? False Which is smaller: 0 or 78.5? 0 Which is bigger: -1 or -31/61? -31/61 Which is smaller: 0 or 497? 0 Are -93/20 and -5 equal? False Is 3 not equal to 1011? True Is -935 > 0.1? False Which is greater: 91 or 144? 144 Is 56 bigger than -0.11? True Is 42 <= 132? True Which is smaller: 1272 or 1262? 1262 Is 0 >= 0.654? False Which is smaller: -1.46 or -3? -3 Do -2 and 1413 have different values? True Are 58 and 58 equal? True Is 1852/3 > 617? True Which is smaller: -973 or -981? -981 Which is smaller: -929 or 7? -929 Is 319/3 equal to 106? False Which is greater: 8/13 or 0.2? 8/13 Which is smaller: -169 or -1009/6? -169 Are 190 and 193 unequal? True Is 720 equal to 2/3? False Is -7104/5 >= -1421? True Which is smaller: 99 or 98? 98 Does -31563/2 = -15782? False Do 6 and 20/3 have different values? True Which is bigger: -43 or 38? 38 Which is smaller: -4919 or -4921? -4921 Which is smaller: 7/5 or 73? 7/5 Which is smaller: 36 or -13? -13 Is 4166/5 at most as big as 832? False Which is smaller: -6/389 or 1? -6/389 Is 1/335 greater than or equal to 1? False Which is smaller: -8 or -1? -8 Does -590 = -591? False Which is smaller: 1 or 24/497? 24/497 Which is smaller: -2657 or -2654? -2657 Which is smaller: 1 or 0.8913? 0.8913 Which is smaller: -56/9 or -7? -7 Which is smaller: -1 or 5/116? -1 Is 5/144 less than 0? False Is 15/82 smaller than -1? False Which is greater: 0 or -3/43? 0 Is -369 >= -362? False Which is smaller: -858 or -847? -858 Which is greater: -1854 or -1852? -1852 Which is smaller: -5 or -27/5? -27/5 Which is smaller: -14 or -71? -71 Is 207 <= 205? False Which is bigger: 186/17 or 10? 186/17 Which is smaller: -1/598 or 0? -1/598 Which is smaller: -27 or -6/7? -27 Is 109 greater than 3/4? True Which is greater: 38 or 8? 38 Is 753 >= 753? True Is 0.2 greater than or equal to -14/127? True Is 1036/33 not equal to 31? True Which is smaller: -6 or -237/41? -6 Which is smaller: 328 or 3614/11? 328 Which is bigger: 603 or 2/5? 603 Which is smaller: -4 or -65/23? -4 Is 2 less than -114.58? False Is -49 less than -51? False Which is bigger: 1 or -14/463? 1 Is -1 at most as big as -11/2916? True Does 27 = 18? False Is -77 > -852/11? True Which is smaller: 59 or 5? 5 Is 692/7 less than 99? True Which is greater: 581 or 0.7? 581 Which is smaller: 4 or -5? -5 Which is bigger: 5 or 2? 5 Is -2543 bigger than -2544? True Which is smaller: -1 or -4/2411? -1 Is 590 equal to 2943/5? False Is 7/2256 greater than or equal to -1? True Which is smaller: 3.8 or -0.0724? -0.0724 Are -4/24715 and 1 unequal? True Which is smaller: -544/3 or -182? -182 Which is smaller: -1 or 4/123? -1 Which is smaller: -45 or 3/2? -45 Which is smaller: 3 or -0.245? -0.245 Which is smaller: 0 or -1008? -1008 Is 5659 bigger than 5663? False Which is smaller: 2/3 or 500? 2/3 Which is smaller: -228 or -262? -262 Which is bigger: 2/95245 or 0? 2/95245 Which is smaller: 0.1 or -0.344? -0.344 Is -111/289 at most 0? True Is -1 > 10/111? False Which is smaller: 1/31877 or -1? -1 Do -4 and -270/79 have the same value? False Is 28 greater than or equal to 4? True Which is smaller: 11/98 or -1? -1 Is -1/120 less than -1? False Is 344 at most 351? True Is 28 at least as big as 115/4? False Which is smaller: -39 or -1/2? -39 Is -1/69 smaller than 12? True Does 26 = -186? False Is -1/4 at least as big as -5/548? False Is 384 at least 1/9? True Is 6713 greater than 0.1? True Is 4889 not equal to 4888? True Which is greater: 12 or 0.425? 12 Is 0.823 at least 1? False Which is smaller: -586 or -2/9? -586 Which is greater: 708 or 717? 717 Is 2649 <= 2648? False Which is smaller: 0.0066 or -1? -1 Is 110/19 bigger than -37? True Is -1 bigger than 28/615? False Is -610 greater than -613? True Is 55/4 smaller than 13? False Are -46 and -3 equal? False Is 2630 != 2628? True Is -2 > 8/9? False Is -39678 != -39678? False Is 2404 equal to 2406? False Are 0 and -2548 unequal? True Do 144 and 141 have the same value? False Which is smaller: -102 or -101? -102 Which is bigger: -2/21 or -8? -2/21 Which is greater: -6/299 or -1? -6/299 Is -7.3 at most as big as 0.3? True Which is smaller: -41/65 or -2? -2 Are -1 and -1/15 equal? Fals
{ "pile_set_name": "DM Mathematics" }
. Let p be (-4)/(-32) - (-46)/16. Let t(q) = 5*q**3 - 3*q**2 - 3*q + 2. Give p*g(i) + 7*t(i). 2*i**3 - 1 Let i(w) = 3*w - 2. Let n be (-11)/22 + 13/2. Let g(h) = -2*h + 1. Calculate n*i(s) + 10*g(s). -2*s - 2 Let i(c) = -c + 4. Let x(r) = r - 3. Let a(o) = 3*i(o) + 4*x(o). Let q(f) = 2*f. Let u(b) = -b**2 + 2*b - 4. Let j be u(0). Give j*a(h) + q(h). -2*h Let c(b) = 1. Let z(u) = u**2 + 3. Let f(k) = 3*c(k) - z(k). Let t(d) = -d**2 - d + 1. Give -f(h) + 2*t(h). -h**2 - 2*h + 2 Let p(l) = -l - 1. Let h(c) = 7*c + 3. Give -2*h(q) - 6*p(q). -8*q Let w(r) = -2*r + 2. Let n(u) = -2*u + 3. Let k(p) = 4*n(p) - 5*w(p). Let q(x) = x + 2. Give 3*k(c) - 4*q(c). 2*c - 2 Let t(b) = -b**3 - b**2 - 1. Let x(c) = 4*c**3 + 3*c**2 + 2*c + 10. Calculate 3*t(i) + x(i). i**3 + 2*i + 7 Let g be (-3 - -4)/((3/3)/65). Let v(p) = -11*p**2 - 6*p. Let w(k) = 120*k**2 + 65*k. What is g*v(n) + 6*w(n)? 5*n**2 Let y(q) = -7*q. Let b(u) = u - 1. Let c(v) = 2*b(v) + y(v). Let h(w) = -4*w - 1. Determine -3*c(l) + 4*h(l). -l + 2 Let w(k) = -8*k**2 - 13. Let c(g) = 2*g**2 + 3. Calculate -26*c(b) - 6*w(b). -4*b**2 Let h(p) = -2*p**2 + p + 8. Let v(a) = 6*a**2 - 3*a - 23. What is -7*h(c) - 2*v(c)? 2*c**2 - c - 10 Let a(d) = d + d**3 + 4*d**2 + 3*d - 3*d**3 + 2 - 2*d. Let z(p) = 10*p**3 - 21*p**2 - 11*p - 11. Determine 11*a(y) + 2*z(y). -2*y**3 + 2*y**2 Let i(p) = 47*p**3 - 6*p**2 - 6*p + 2. Let w(d) = 95*d**3 - 11*d**2 - 11*d + 4. Give 11*i(f) - 6*w(f). -53*f**3 - 2 Let b(v) = -1 + 7*v + 2*v + 8*v - 14*v + 2*v**2. Let r(u) = -3*u**2 - 6*u + 1. Give 5*b(m) + 3*r(m). m**2 - 3*m - 2 Suppose -2*z + 33 = 3. Let h = -7 + z. Let v = -4 + h. Let q(p) = 4*p**2 - 4. Let t(m) = m**2 - 1. Calculate v*q(o) - 14*t(o). 2*o**2 - 2 Let x(q) = -5*q**3 + 4*q**2 - 7*q + 13. Let m(k) = 3*k**3 - 3*k**2 + 5*k - 9. Calculate 7*m(b) + 5*x(b). -4*b**3 - b**2 + 2 Let b(d) = 4. Let t(m) = -m**2 + m + 9. Let c(h) = h**2 + 3*h - 3. Let j be c(-4). Let a = j + -3. Give a*t(o) + 5*b(o). 2*o**2 - 2*o + 2 Let u = 36 - 39. Let t(q) = -4*q**3 - 3*q**2 - 3*q - 3. Let v(h) = -11*h**3 - 8*h**2 - 8*h - 8. Suppose -2*o - 24 = -5*o. Give o*t(g) + u*v(g). g**3 Let c(g) = -4*g**3 + 3*g + 2. Let n(z) be the third derivative of z**6/40 + z**5/60 - z**4/12 - z**3/6 - 33*z**2. Determine 2*c(o) + 3*n(o). o**3 + 3*o**2 + 1 Let b(r) = r**3 - r**2 - r - 1. Let z(i) = 14*i**3 + 4 + 0 + 7*i**2 + 4*i - 19*i**3. Calculate -4*b(a) - z(a). a**3 - 3*a**2 Let x(o) = -6*o**2 - 7*o - 1. Let j(q) = -2*q**2 - 2*q. Calculate 7*j(c) - 2*x(c). -2*c**2 + 2 Let t(m) = -5*m + 4. Let i(l) = -6*l + 5. Let g be 3/6 - 55/10. Let f(b) = g*t(b) + 4*i(b). Let y(p) = 10*p + 2. Determine -12*f(o) + y(o). -2*o + 2 Let g(l) = l**2 - 8*l + 5. Suppose 10 = 5*k + 2*i + 3*i, 0 = -k + 3*i + 14. Let m be g(k). Let d(q) = -2*q. Let w(s) = s. Determine m*w(o) - 4*d(o). -2*o Let a = 84 - 91. Let h(l) = l + l - l + 0. Let k(g) = -2*g. Determine a*h(x) - 4*k(x). x Let j = -36 - -25. Let l = 5 + j. Let c(z) = 11*z**2 + 15*z - 13. Let k(t) = -5*t**2 - 3*t + 6 + 4*t - 8*t. What is l*c(b) - 13*k(b)? -b**2 + b Let h(n) = -4*n + 6. Let y(x) = x - 2. Suppose 0 = v - 19 + 26. Give v*y(a) - 2*h(a). a + 2 Suppose -5 = 7*f + 51. Let h(o) = -o**2. Let b(v) = 4*v**2. Calculate f*h(j) - b(j). 4*j**2 Let y(n) = -5*n. Let r(z) = 3*z. Let t(i) = i. Let g(d) = -2*r(d) + 5*t(d). Determine -10*g(j) + y(j). 5*j Let q(d) = -d - 6. Let w(c) be the second derivative of c**3/3 + 11*c**2/2 - 4*c. Determine -7*q(x) - 4*w(x). -x - 2 Let l(u) = -2*u + 3. Let f = 78 - 71. Let o(a) = 4*a - 7. Determine f*l(y) + 3*o(y). -2*y Let h(v) = 28*v**2 + 8*v**2 - v**3 + 2 + 4*v - 36*v**2. Let d(y) = y**3 - 3*y - 1. Calculate -4*d(b) - 3*h(b). -b**3 - 2 Let m(i) = -7*i**2 - 2*i + 11. Let s(y) = 11*y**2 + 3*y - 17. Give 8*m(f) + 5*s(f). -f**2 - f + 3 Let k(m) = 4*m - 9. Suppose -32 - 3 = -5*o. Let q(h) = -6*h + 13. Give o*k(l) + 5*q(l). -2*l + 2 Let a(h) = 6*h**2 + 2*h + 25. Let l(r) = 4*r**2 + r + 17. Determine -5*a(c) + 8*l(c). 2*c**2 - 2*c + 11 Let r(i) = -14*i**2 + 12*i - 7. Let y(q) = -5*q**2 + 4*q - 2. Give 2*r(s) - 7*y(s). 7*s**2 - 4*s Let y(c) = 6*c**3 - 2*c. Let n(s) = -2*s**3 + s. Let t be 357/49 - (-2)/(-7). Give t*n(o) + 2*y(o). -2*o**3 + 3*o Let u(p) be the first derivative of p**2/2 + p - 1. Let c(k) = -2*k - 1. Let y = 9 - 11. Determine y*u(m) - 2*c(m). 2*m Let s(c) = 3*c**3 - 2*c**2 - c. Let y(g) = -g**3 + g**2 + g. Let d = 14 - 16. Determine d*y(f) - s(f). -f**3 - f Let v(p) = 5*p + 4. Let w(j) be the first derivative of j**4/4 + 4*j**3/3 + j**2 - 3*j + 3. Let l be w(-3). Let s(d) = -d + 0*d - 1 + l. Give 9*s(b) + 2*v(b). b - 1 Let r(z) = -z. Let d(h) be the third derivative of -h**4/4 + 17*h**2. Calculate 6*d(g) - 34*r(g). -2*g Let h(p) = 8*p**2 + 4*p - 7. Let f(b) = 7*b**2 + 3*b - 6. Determine 5*f(s) - 4*h(s). 3*s**2 - s - 2 Let b(t) = 2*t**3 + 4*t**2. Let g(p) = p**3 - 2*p**2 + 2. Let d be g(2). Let s(l) = 6*l**3 + 13*l**2. What is d*s(f) - 7*b(f)? -2*f**3 - 2*f**2 Let t(c) = 5*c**3 - c + 3. Let p(f) = -4*f**3 + f**2 + f - 4. Give 3*p(g) + 4*t(g). 8*g**3 + 3*g**2 - g Let z = 11 + -3. Suppose -2*c + z = 2*c. Let l(q) = 2*q**2 + q - 4 + 2 + c*q**2. Let g(d) = -3*d**2 - d + 2. Give 5*g(k) + 4*l(k). k**2 - k + 2 Let t(v) = -13*v**2 + 11*v - 5. Let z(l) = -2 - 8*l**2 - 2*l + 2*l**2 + 0*l**2 + 7*l. Calculate -4*t(u) + 9*z(u). -2*u**2 + u + 2 Let m(l) = -9*l - 2. Suppose 23 = -3*k - o, o = 2*k + 1 + 6. Let c(j) = 4*j + 1. Calculate k*m(w) - 13*c(w). 2*w - 1 Let m = 1 + -5. Let k(o) = 2*o**2 - 2 - 7*o + 2*o + 0*o. Let s(j) = j**2 - 4*j - 1. Give m*s(y) + 3*k(y). 2*y**2 + y - 2 Let s(y) = y + 4. Let w(q) be the first derivative of -q**2 - 7*q + 11. Give -7*s(o) - 4*w(o). o Let k(y) = 3*y**3 - y**2 + 3*y**3 - 1 - 5*y**3. Let d(g) = g**2 - g. Let u(q) = -d(q) - k(q). Let w(z) = -5*z**3 + 6*z + 6. Determine -6*u(s) + w(s). s**3 Let u(d) = -d**2 - d. Let w(n) = 9*n**2 - n - 2. What is u(b) + w(b)? 8*b**2 - 2*b - 2 Let h(j) = j - 1. Let o(c) = -12*c**2 - 15*c + 15. Calculate 15*h(l) + o(l). -12*l**2 Suppose 0 = -0*x + 2*x - 16. Suppose z = 3*z - x. Let b(n) = -4*n**3 + 3*n**2 - 3*n. Let k(j) = 5*j**3 - 4*j**2 + 4*j. Determine z*b(q) + 3*k(q). -q**3 Let d(p) = 37*p - 5. Let y(i) = 1924*i - 259. Determine 259*d(l) - 5*y(l). -37*l Let j(i) = -i**2. Let v(o) = -3*o**2 + o - 1. Determine -6*j(n) + v(n). 3*n**2 + n - 1 Let c(p) = -3*p - 2. Let d(z) = -7 - 11 + 19. Let f(h) = h**3 - 8*h**2 + 7*h - 2. Let o be f(7). Calculate o*d(v) - c(v). 3*v Let p(q) = 5*q - 11. Let f(b) = -5 - 67*b + 38*b + 31*b. Give 7*f(o) - 3*p(o). -o - 2 Let a(r) = -5*r + 11. Let n be (0 - 5)/(60/(-72)). Let l(g) = g - 2. Give n*a(w) + 33*l(w). 3*w Let n(y) = 2*y - 1. Let h(p) = p. Suppose 2*m + 17 + 3 = -5*x, 13 = -3*m + x. Let l = 10 + m. Suppose l - 1 = -2*t. Give t*n(c) + 2*h(c). -2*c + 2 Let g(i) = 16*i**3 + 8*i**2 + i + 6. Let y(p) = -33*p**3 - 15*p**2 - 2*p - 11. Calculate 11*g(h) + 6*y(h). -22*h**3 - 2*h**2 - h Let l(i) = 12*i - 10. Let s(r) = -8*r + 7. Determine -5*l(c) - 7*s(c). -4*c + 1 Let m(h) = 10*h. Let q(y) = -21*y + 1. Give 5*m(c) + 2*q(c). 8*c + 2 Let o(i) = -7*i - 15 + 3 + 2*i - 5*i. Let p(u) = 4*u + 5. Suppose z = -2 + 7. Determine z*o(y) + 12*p(y). -2*y Let v be 4/(-6) + 16/6. Let m be 0*(12/(-8))/(-3). Let g(n) = m*n + 2*n - n + 6 - 5. Let p(k) = k**2 + k. Determine v*g(s) - p(s). -s**2 + s + 2 Let f(w) = -w + 3. Let c = 1 - -5. Let j(l) = c - 13 + l + l. Determine 7*f(z) + 3*j(z). -z Let i(x) = x**3 - x**2 + 1. Let n(f) = f**3 - 4*f**2 + 5. Give -4*i(p) + n(p). -3*p**3 + 1 Let h(p) = p**3 - 7*p**3 - 2*p + 10*p**3 - p + 2*p**2 - 3. Let r(s) = s**3 + s**2 - s - 1. What is -h(i) + 3*r(i)? -i**3 + i**2 Let j(l) be the second derivative of l**3/6 - 3*l**2/2 + 37*l. Let g(s) = -8*s + 26. Calculate 6*g(w) + 52*j(w). 4*w Let b(a) = -2*a**2 - 2*a + 1. Let o(q) be the first derivative of 3*q + 1/4*q**4 - 2 - 5/3*q**3 - 5/2*q**2. Calculate -5*b(c) + 2*o(c). 2*c**3 + 1 Let i(g) = -34*g - 21. Let d(f) = 11*f + 7. Let c(t) = -11*d(t) - 4*i(t). Let p(m) = 10*m + 5. What is -5*c(q) + 7*p(q)? -5*q Let d(o) = o**2 - o - 8. Let t = 0 - 6. Suppose 0 = -0*m - 5*m + 20. Let k(q) = 5*q - 2*q**2 - m*q + 15 + q. Calculate t*k(a) - 11*d(a). a**2 - a - 2 Let f(n) be the second derivative of 7*n**4/12 - 3*n**2 + 43*n. Let g(k) = 1 + 0 - 2*k
{ "pile_set_name": "DM Mathematics" }
23*p**4/12 + 26*p**3/3 + 13*p**2 + 4*p - 4. Let n be x(-25). Is -20 > n? True Let b = -190.305 + 183. Let h = b - -0.185. Let i = h + 0.12. Is i greater than or equal to -2/3? False Let d be (-742)/(-19822)*4*1. Which is bigger: d or 0? d Let t = 1831/87 - 334187/435. Which is smaller: -748 or t? -748 Let g be ((-139314)/1085)/(6/40). Is -2572/3 not equal to g? True Let q = 0.0617 - 0.0487. Which is smaller: q or -2/13? -2/13 Suppose -3*q - 15 = -156. Let i = q + -69. Suppose 28*t + 3*p = 24*t - 81, 67 = -3*t + 4*p. Is i >= t? False Let t = 446 + -451. Let d be (-5 - t/10)*-24. Is 107 not equal to d? True Let c = 2563 - 17975/7. Let d = -1466 - -1466. Which is greater: d or c? d Let i = -0.898 - 0.132. Let v = -24085 + 72253/3. Is v >= i? True Suppose -4*b + 143 = -15*b. Let v = -13 - b. Which is smaller: v or 3/32? v Let p = -22 + 11. Let m be 38/(-20) - p/(-110). Is m less than 24? True Let h be ((-637)/9555)/((-1)/(-5)). Suppose 0 = -b + g - 4*g - 14, 5*b + 4*g = -15. Which is smaller: h or b? h Suppose 0 = -o - 5*k - 19, 0 = -o + 9*k - 4*k + 21. Let y be (-43 + 42)*(1 - o). Which is greater: y or -1/112? y Let b = 27119 + -51459/2. Is 1391 at least b? True Let c be 248994434/(-124410) + (-6)/10. Let s = -2002 - c. Let p = 12433/3828 + s. Which is greater: 2 or p? p Suppose n + 201 = -4. Let s = 200 + n. Is -1.9 equal to s? False Let f = -2044 + 2051. Which is smaller: f or -118? -118 Let c = -146 + 559. Let p = 309 - c. Which is greater: p or -0.1? -0.1 Suppose -4*b + b = -483. Let d(u) = u**3 - 4*u**2 - 35*u + 73. Let k be d(9). Are k and b equal? False Let a = 3194 + -2208. Which is smaller: a or 987? a Let z be 50/(-175) - 4/(-14). Let b be 6/34 + z/(-4). Let g(f) = -2*f + 3. Let h be g(2). Which is bigger: b or h? b Suppose -2*s = 5*i + 2, 23 - 18 = -4*i - 5*s. Which is bigger: 1/2677 or i? 1/2677 Let u(p) = p**2 - 2*p - 9. Let g be u(15). Let t = g + -12094/65. Which is smaller: t or -1? -1 Let h be (-1485)/15 + -6 + 3 + 4. Is -103 bigger than h? False Let y = 104 - 726/7. Let j = 16 - 18. Let w be (-4)/(-6) + j + 1. Which is bigger: y or w? y Suppose -p - 78 + 9 = 0. Let o be -25*3 - 18/(-3). Is p bigger than o? False Let j = -273.95 + 273.25. Is 1188 at least as big as j? True Let z = 45048 + -45035. Suppose -5*s - 44 = 3*q - 11, -4*s - 6 = -q. Let l be 2 + 3/q*1. Which is greater: z or l? z Let u(a) = -a**2 - 30*a - 56. Let m be u(-28). Let w be m + (-2)/(-8) + (-6)/(-8). Let d be (2/(-3))/(4/6)*w. Which is greater: 3/14 or d? 3/14 Suppose -60924 + 39368 = 71*m + 57183. Which is smaller: -1113 or m? -1113 Let s = 1.6 + -1. Let y = 669 - 666.4. Let n = y - s. Which is smaller: n or -12? -12 Let z = -0.11269 + 0.17869. Is 3/10 less than or equal to z? False Suppose -2*j + 3*v = 1589, -v = 4 - 9. Let b = -2335/3 - j. Which is smaller: 9 or b? b Let a(z) = -11*z + 49. Let q be a(6). Let t = -16 - q. Let s be -2 + (620/(-66))/(-5). Which is smaller: s or t? s Let k be ((-60)/(-80))/((-72)/(-96)). Are k and 11/147 non-equal? True Let j = -10805 + 10657. Which is bigger: j or 8? 8 Suppose -109 + 34 = 5*z. Let c be ((24/z)/4)/(12/(-30)). Suppose 7*y - c = 20. Is -1 > y? False Let o(l) = -l**2 + 38*l - 79. Suppose -11*h + 7*h + 140 = 0. Let d be o(h). Which is smaller: 7 or d? 7 Let m = -1100 - -749. Let a = -5970/17 - m. Let j(x) = x**3 - 3*x**2 + 3*x - 9. Let p be j(3). Is a > p? False Let c be ((-8)/((-8)/2))/2. Suppose -2*b + 18 = 2*k, 4*b + 0 - c = k. Suppose -10*t + k*t + 9 = 0. Which is smaller: 0 or t? 0 Let j(k) = k**3 - 8*k + 9. Let c be j(3). Let r be 0/(c/((-3)/1)). Which is smaller: r or 8/9? r Let d = -4167 + 4169. Which is smaller: d or 47/67? 47/67 Let f = 0.16305 + -0.07695. Which is greater: f or -1? f Let k = 19539341/273 + -214607/3. Let s = k + -258/7. Which is smaller: s or 0? 0 Let x = 107969/11 + -9783. Are 33 and x unequal? True Suppose 0 = 5*q + 2*y - 3, -4 = -y + 5*y. Let r be (-1190)/450 - (-1)/5. Which is smaller: q or r? r Let q = -11 + 13. Let z be q - 0 - (-36 - -11). Are z and 26 equal? False Let t = 275 + -272. Let w be (-5 + 4)*t + -21. Are w and -26 nonequal? True Suppose 4*i + 61*f - 297 = 56*f, -2*i - f = -153. Suppose 0 = -v - 3*v. Suppose 3*z - 3*k = -9 - i, v = -2*z - 2*k - 38. Is -24 bigger than z? False Let b = 415 - 376.8. Let o = b + -38.2. Let i = -0.039 - -22.039. Which is smaller: o or i? o Let n be (19/(684/(-24)))/((-6)/9297) + 0. Is 9310/9 at most as big as n? False Let v = -0.273 + 4.933. Let t = 0.36 - v. Let r = -0.9 - 0.1. Which is smaller: t or r? t Let o(c) = c**3 - 166*c**2 - 1374*c - 348. Let i be o(174). Are 2784 and i non-equal? False Let z = 540056/27 + -20002. Let x(p) = -p - 10. Let n be x(-11). Which is bigger: n or z? n Suppose -5*r = 1 + 4. Let x be -1*(-24)/19*27/((-1053)/26). Is x greater than or equal to r? True Suppose -3*z - 2*k = -1082, 1796 = 3*z + 2*z - 4*k. Suppose 352*s - z*s = 440. Is -279/5 < s? True Suppose -2*k = -2*y - 36, -4*k - 3*y = 2*y - 45. Suppose -17 = 3*p - 4*q, 2*q = -5*p - 0*q + k. Let f = -3414/341 - -108/11. Is p >= f? True Suppose 6*f + 168 = -f. Let y be f/(-42) + 25/(-7). Let i be -2 + 45/20 - y/4. Which is smaller: -1/9 or i? -1/9 Let s = -21902 - -766568/35. Is -0.06 smaller than s? True Suppose -3*c - 7 = q - 2*c, -1 = -2*q + 3*c. Let x(j) = 2*j + 6. Let i be x(5). Let y be (-20)/(-6)*(-24)/i. Which is smaller: q or y? y Suppose 10*v - 3019 = 4381. Which is greater: v or 742? 742 Suppose 4*n + 4*x + 12 = 0, -2*n - 6*x + 9 = -7*x. Let r(g) = 4*g + 11. Let w be r(-6). Let u be 4/(-3 + w)*-9. Which is bigger: u or n? u Let y = 100 - 99. Let v be (806/(-15) - 2)*3/(-2). Let f = -83 + v. Is f greater than or equal to y? False Let v be (-39240)/(-14) + (2 - 2). Let p = 5496 + -2685. Let j = v - p. Which is bigger: -7 or j? -7 Let v = -7104 + 6419. Is v at least -678? False Suppose 0 = 4*l - 4*y + 1628, 5*l - 16*y + 2019 = -19*y. Is -1 at least l? True Let x = 1.5612 - -652.8388. Which is bigger: 1 or x? x Suppose 4*i + 4*v - 36 = 0, 2*i + 22*v - 12 = 18*v. Let f(u) = u**3 - 11*u**2 - 11*u - 24. Let j be f(i). Is -13 smaller than j? True Let r = 34480/7 - 4932. Let t be 12/18*(-6)/(-16). Is t less than r? False Let j = -720399/140 - -5146. Let r = j + -3/70. Which is bigger: r or -153? r Suppose 5*y + 5*i - 10 = 6*i, -3*i - 18 = -3*y. Let k be (2/(-6))/(13/117). Let l be (-14)/2 - k - -3. Which is smaller: y or l? l Let c be ((-38)/(-8) + (-18)/72)*58. Let l be (-1)/(-2) + c/58. Suppose d = 4 - 3. Is d != l? True Let q(h) = h**2 - 2*h - 4. Let j be q(6). Let l = 436/85 - -9698/595. Are j and l non-equal? True Let w = -88785/4 - -22899. Which is smaller: 703 or w? w Let k(g) be the second derivative of 4/3*g**3 - 22*g + 0 - 11/12*g**4 + 15*g**2 + 1/20*g**5. Let c be k(10). Are 44/5 and c nonequal? True Let d = -63.732287 + -0.267713. Let i = -0.01 - -3.01. Which is smaller: d or i? d Let h be (815/18)/((-21)/364). Let i = h + 785. Let j = i - 109/297. Is j less than or equal to -1? False Let g be (-3)/7*((-9)/(-36) - 14/24). Let u = 10 + -14. Let f = -5 - u. Which is greater: g or f? g Let n = -122 - -123.25. Let h = n + -1.05. Are 9/10 and h equal? False Suppose -104 = -0*n + 2*n. Let z(g) = -3*g**3 - 8*g**2 + 5*g. Let i be z(2). Let v = i - n. Is v < 3? False Let k(g) = 10*g**3 - 2*g**2 - g. Let i be k(-1). Let f be (-8)/(-17)*(33/12)/i. Which is smaller: 0 or f? f Let w be 4 - -202*2/(-100). Let r(x) = -x - 4. Suppose -66 = 12*a - a. Let y be r(a). Which is bigger: w or y? y Let o = -5.99 - -5.996. Let f = o - 1.006. Which is greater: f or 103? 103 Suppose -7*m + 224 = 42. Suppose 5*z + 11 = -9. Let w be (-6 - m/z)/(1/6). Which is smaller: 9 or w? w Let z be (1 - (-5 + -75))*-1. Let h be 66/5*(-540)/z. Is h greater than 90? False Let m be 2/(-3)*(-4 + (-5 - -6)). Let o(q) = 14 - q**3 + 0*q**2 - q**2 + 0*q**2 - 5*q**m + 2*q. Let u be o(-6). Which is greater: 14/11 or u? u Let y = 134 - 146. Let f be 536/(((-18)/y)/(1/(-2))). Which is smaller: f or -180? -180 Let s = -186 - -189. Let i(k) = -36*k**2 - 4*k + 17. Let x be i(s). Is x bigger than -319? False Let i = -2.147 + -13.853. Which is bigger: i or -71? i Let a(l) = 3*l**2 + 18*l - 73. Let i be a(-11). Is 832/9 < i? False Let i = 4107.28 + -3734.1. Let m = 373 - i. Which is greater: -0.2 or
{ "pile_set_name": "DM Mathematics" }
-l**5/30 - 4*l**2. Suppose 8*w = 3*w + 10. Let a(g) = -w + 2 - 3*g. Give m(a(n)). -18*n**2 Let x(h) = h. Let v(j) = -7*j - 9. Let k(u) = u + 6. Let c(w) = w - 1. Let p(s) = -2*c(s) - k(s). Let q(y) = 9*p(y) - 4*v(y). Calculate q(x(f)). f Let p(h) = 2*h**2. Let k(d) = 36*d**2 - 6. Give p(k(x)). 2592*x**4 - 864*x**2 + 72 Let d(m) = -m**2 + 5*m**2 - m**2. Let o(w) = -21*w + 18*w + 5 - 5. Calculate o(d(r)). -9*r**2 Let n(k) = -k**2. Let z(t) be the second derivative of t**6/240 + t**4/12 - 2*t. Let u(i) be the third derivative of z(i). Determine u(n(m)). -3*m**2 Let k(x) = 2*x - 2*x - x. Let n(j) be the first derivative of 5 - 3*j**2 + 4*j**2 - 4*j**2 + 4*j**2. Give n(k(f)). -2*f Let p be -1 - (-1 - -1) - -3. Let z be -6*p/(-4) + -1. Let w(d) = 2 - z*d - d - 2. Let a(m) = -m. What is a(w(n))? 3*n Suppose -4*t + 4*l + 32 = 0, -6*t + t + 20 = 5*l. Suppose h + 3*h = 8. Let y(d) = d - d - t*d**h. Let p(g) = g**2. Give y(p(v)). -6*v**4 Let q(a) = 1127 - 1127 + 4*a**2. Let o(h) = 20*h. Determine o(q(m)). 80*m**2 Let l(i) = -2*i. Let t(h) = 6*h - 4*h - 3*h. What is t(l(y))? 2*y Let u(x) = 2*x. Let g = 10/39 + 1/13. Let q(c) be the second derivative of c + 0*c**2 + 0 - g*c**3. What is u(q(v))? -4*v Let g(m) = -m**2. Let w(t) = t - 9. Let j be w(10). Let b(x) = 9*x. Let h(v) = v. Let z(u) = j*b(u) - 6*h(u). Give z(g(i)). -3*i**2 Let s(v) be the first derivative of v**5/60 + v**3/3 + 2. Let d(o) be the third derivative of s(o). Let m(n) = 11*n. What is d(m(c))? 22*c Let m(n) be the third derivative of 47*n**5/60 + 37*n**2. Let h(t) = t. Give h(m(g)). 47*g**2 Let c(g) be the third derivative of g**5/15 - 16*g**2. Let v(w) = 5*w**2. Calculate c(v(k)). 100*k**4 Suppose z = -2*l, -5*z + 0*z = 0. Let x(c) = -c + 0 + l. Let d(m) = 3*m. Give x(d(b)). -3*b Let p(m) = -m**2. Let q = -2/3 - -5/6. Let z(h) be the second derivative of 0*h**2 + 0 + 2*h - q*h**3. Calculate p(z(i)). -i**2 Let y(i) = 16*i. Let n(o) = 9*o. Calculate n(y(p)). 144*p Let k(x) = 5*x - x - x. Let o(n) = 2*n**2 - 191*n - 194*n + 385*n. What is o(k(h))? 18*h**2 Let d(v) = -2*v. Let r(i) be the first derivative of -1/3*i**3 - 2 + i + 0*i**2. Let b(m) be the first derivative of r(m). Calculate b(d(n)). 4*n Let o(f) = -2*f**2. Let n(g) be the second derivative of -22*g**3/3 + g**2/2 - 8*g. Calculate o(n(w)). -3872*w**2 + 176*w - 2 Let h(p) = 5*p. Let o(c) = -c - 105 + 105 + 3*c. Calculate h(o(n)). 10*n Let s(f) = -8*f + 4*f + 6*f. Let h(w) = -17*w. Give s(h(v)). -34*v Let u be (-2)/(-11) - (-40)/22. Let f(b) = 2*b**2 - b**2 - u*b**2. Let z(w) = 4*w. Let n(j) = j. Let p(h) = 6*n(h) - z(h). Give p(f(m)). -2*m**2 Let c(i) = -i**2. Let u(x) be the second derivative of 0 + 1/3*x**3 - 3*x + 0*x**2. Give u(c(v)). -2*v**2 Let r = 4 - 4. Let s(v) = 3*v**2 + 0*v**2 + r*v**2 - 2*v**2. Let a(y) = 2*y**2. Determine s(a(p)). 4*p**4 Let l(d) = -141*d. Let v(a) = 4*a. Determine v(l(h)). -564*h Let r(w) = -5*w. Suppose 9 = 4*j - 11. Let t(b) = 6*b. Let g(x) = -2*x. Let u(s) = j*t(s) + 16*g(s). Calculate u(r(z)). 10*z Let t(a) = 2*a**2. Let p(w) = -95*w**2. Determine t(p(f)). 18050*f**4 Let m(i) be the third derivative of i**5/60 - 38*i**2. Let k(z) = 14*z. Determine k(m(c)). 14*c**2 Let k(u) = -3*u + 6. Let i(s) = -6*s. Give i(k(v)). 18*v - 36 Let q(z) = z. Let u(c) = -c**3 + 13*c**2 - 10*c - 24. Let g be u(12). Let l(r) be the second derivative of -1/6*r**3 + g*r**2 + 0 + 2*r. Calculate q(l(b)). -b Let z(l) = 4*l + 5. Let n(r) = r**2 - 6*r + 6. Let c be n(5). Let t(a) = -a + 0 - 2 + 1. Let i(x) = c*z(x) + 5*t(x). Let f(v) = -v. Calculate i(f(u)). u Let b(v) = -1 - 2*v + 1. Let z(u) = -u**2 + u - 1. Let h(w) = -3*w**2 + 4*w - 4. Let y(o) = 3*h(o) - 12*z(o). Calculate b(y(k)). -6*k**2 Let w(s) = 4*s - 11. Let r(h) = 2*h - 6. Let o(z) = -11*r(z) + 6*w(z). Let b(n) = 23*n - 2. Determine b(o(f)). 46*f - 2 Let u(v) = 6*v - 8. Let o(m) = 2*m - 3. Let f(p) = -8*o(p) + 3*u(p). Let h(i) = -12*i. Let s(b) = -b. Let j(a) = -h(a) + 3*s(a). Calculate j(f(g)). 18*g Let i(c) = 2*c**2. Let o(v) = 2*v**2 - 36*v. Give o(i(u)). 8*u**4 - 72*u**2 Let m(y) be the third derivative of -y**4/12 + y**2. Let q(c) = c. Let u(p) = -2*p. Let b(k) = -6*q(k) - 5*u(k). Determine m(b(s)). -8*s Let j(p) be the third derivative of p**4/24 + 7*p**2. Let l(b) = -3*b. Determine l(j(t)). -3*t Let o(c) = -3*c**2. Let w = -3 - -4. Let f(q) = 2 - 1 - w - q. Give o(f(p)). -3*p**2 Suppose 3*b = 5*b - 8, 2*k + b = 12. Let m(x) = -3*x + k*x + 2*x. Let d(f) = 2*f. Calculate m(d(w)). 6*w Let j(r) be the first derivative of -3*r**2/2 + 1. Let w(l) = l**2. What is j(w(d))? -3*d**2 Let y(g) = -54*g**2 + g. Let n(r) = 20*r - 3. Give n(y(x)). -1080*x**2 + 20*x - 3 Let y(s) = 10*s. Let g(j) = 551*j**2. Give g(y(v)). 55100*v**2 Let l = -1 - -6. Let t(u) = -l + 5 - 2*u**2 + u**2. Let o(v) = -4*v**2 + 14*v + 14. Let i(p) = -p**2 + 3*p + 3. Let y(g) = 28*i(g) - 6*o(g). Give t(y(q)). -16*q**4 Let a(c) = -13*c. Let v(x) = -3*x**2 - 500*x. Determine a(v(s)). 39*s**2 + 6500*s Let r(i) = 10*i. Let k(l) be the third derivative of 5*l**4/24 + 7*l**2 - l. Determine k(r(g)). 50*g Let y(r) = 15*r**2. Let d(n) be the first derivative of -n**2/2 - 58. Give d(y(t)). -15*t**2 Let i(h) = -15*h**2. Let p(o) = -3*o + 4. Let f(s) = -4*s + 5. Let w(u) = -4*f(u) + 5*p(u). What is i(w(n))? -15*n**2 Let r(v) = v**2. Let a(c) = -3*c + 96. What is r(a(q))? 9*q**2 - 576*q + 9216 Let v(i) = -4*i**2. Let s(o) = -410*o. Give s(v(y)). 1640*y**2 Let a(q) = -1. Let m(l) = -2*l - 1. Let u(r) = 3*a(r) - 3*m(r). Let g(o) = -2*o. Let c(i) = -10*g(i) - 3*u(i). Let s(p) = -4*p. Determine s(c(n)). -8*n Let v(n) = -n. Let a(z) = -9*z - 2. Let g(o) = -36*o - 9. Let h(w) = -9*a(w) + 2*g(w). Calculate h(v(l)). -9*l Let x(q) = -3 + 4 + 4*q**2 - 1. Let h(s) = 2*s**2 - s. Let j(o) = -o. Let f(y) = h(y) - j(y). Give x(f(a)). 16*a**4 Let i(k) = 26*k**2. Let p(r) = -3*r**2. What is i(p(g))? 234*g**4 Let p(n) = -n**2. Let a(h) be the third derivative of -h**5/60 + h**4/4 - h**3 + 4*h**2. Let v(c) = -c + 1. Let s(x) = 5*a(x) + 30*v(x). Determine p(s(b)). -25*b**4 Let p(j) = 137 + 136 - 273 + 2*j. Let l(z) = -3 + 3 + 5*z**2. What is p(l(a))? 10*a**2 Let k(u) = -13*u**2. Let m(b) = 7 - b**2 - 7. Calculate k(m(h)). -13*h**4 Suppose -u = 36 - 39. Let f(v) be the second derivative of u*v + 0 - 1/3*v**3 + 0*v**2. Let i(l) = 3*l. Calculate i(f(y)). -6*y Let h(c) = -c**2. Let d(i) be the third derivative of -i**5/60 - 5*i**3/3 - 2*i**2. Let p(q) be the first derivative of d(q). Calculate p(h(k)). 2*k**2 Let o(k) = k. Let g(a) = -5705*a. Calculate o(g(v)). -5705*v Let y(b) = 16*b**2. Let v(a) = -10*a**2. Determine y(v(g)). 1600*g**4 Let k(i) = 3*i**2. Let b(v) be the third derivative of v**5/6 - 17*v**2. What is b(k(p))? 90*p**4 Let t(m) be the second derivative of m**4/12 + 13*m. Let i(d) = 5*d. Let c(g) = 99*g. Let q(h) = 6*c(h) - 121*i(h). Calculate t(q(o)). 121*o**2 Let f(i) = -56*i. Let x(k) be the third derivative of k**4/12 - 2*k**2. Calculate f(x(a)). -112*a Let u(z) = 70*z + 71*z - 138*z. Let l(o) = 6*o**2. Calculate u(l(b)). 18*b**2 Let w(k) = k**2. Let o be 1/(-3) + (-2)/(-6). Suppose o*m + 2*m = 0. Let g(n) = -n**2 + m*n**2 + 5*n**2. Give g(w(h)). 4*h**4 Let j(a) be the first derivative of 5*a**2/2 - 4. Let k(o) = 3*o**2. Calculate k(j(v)). 75*v**2 Let p(a) = -6*a + 5. Let z(i) = 3*i - 2. Let l be -3 + (-3)/(-1) + 2. Let t(c) = l*p(c) + 5*z(c). Let j(n) = -3*n**2. What is j(t(h))? -27*h**2 Let x be 3/6 - (-1)/(-2). Let i = x + 2. Let f(u) = -u**2 + u**2 + u**i. Let m(w) = 2*w. Give f(m(k)). 4*k**2 Let o(h) = 26*h**2. Let c(u) = u**2 - u - 1. Let b(j) = 5*j**2 - 6*j - 6. Let l(y) = -b(y) + 6*c(y). Determine l(o(x)). 676*x**4 Let j(f) = 23*f - 26. Let a(z) = 4 + 2 - 8*z + 3. Let b(y) = -17*a(y) - 6*j(y). Let c(t) = -2*t + 4. Let i(n) = 4*b(n) - 3*c(n). Let u(w) = -2*w. Give i(u(m)). 4*m Let j(z) = -6*z**3 - 2*z**2 - z. Let s be j(-1). Let d = -3 + s. Let a(h) = -d*h - h + 5*h - h. Let i(w) = w. Determine a(i(y)). y Let c(i) = -7*i**2 + 2*i. Let k(m) = 20*m**2. Give c(k(q)). -2800*q**4 + 40*q**2 Let g(f) be the third derivative of -f**2 + 0 - 1/30*f**5 + 0*f**3 + 0*f + 0*f**4. Let v(d) = d. Give g(v(y)). -2*y**2 Let m(n) = 3*n. Let q(v) be the third derivative of v**5/15 - 3*v**2. Give m(q(w)). 12*w**2 Let b(q) = 9*q**
{ "pile_set_name": "DM Mathematics" }
-1006*x + 548*x = -498*x - 360 for x. -9 Solve -1543*j = 469*j + 54324 for j. -27 Solve -16*c = -121*c - 5*c - 25*c - 7155 for c. -53 Solve -1340*g - 28285 + 75310 = 3885*g for g. 9 Solve 1177*p - 993 = -15117 for p. -12 Solve 200*h - 387*h + 279*h = -4692 for h. -51 Solve 233*m - 7109 = -17827 for m. -46 Solve 1635*t - 2889*t = -1525*t + 2168 for t. 8 Solve -8*o + 306 = -18*o + 310 + 1046 for o. 105 Solve 34*c + 3204673 = 3204299 for c. -11 Solve -25847 - 10680 + 3168 = 1367*i + 3550 for i. -27 Solve 0 = 52*r - 44386 + 42670 for r. 33 Solve -232*o = -1831*o - 11740 - 63413 for o. -47 Solve 71*x + 6077 + 9437 = 22330 for x. 96 Solve 274291 = 7447*k - 2798*k for k. 59 Solve 82*w + 8580 + 11142 = -487*w + 50*w for w. -38 Solve -19*i + 353*i = -277*i + 1833 for i. 3 Solve 441*h + 20234*h = 1306*h - 2595446 for h. -134 Solve -165684 + 28290 = -2694*r for r. 51 Solve 268*f + 15198 = 119*f for f. -102 Solve 2978*u - 12606 = 1832*u for u. 11 Solve 10502 = -455*z - 9598 - 830 for z. -46 Solve 3548*m = -118299 - 137157 for m. -72 Solve -310*c - 11248 + 713 = -109*c + 44*c for c. -43 Solve 9972 = 1353*y - 54972 for y. 48 Solve -6266*m + 3028*m + 2415 = -3133*m for m. 23 Solve -4403692 = -10*r - 4403902 for r. -21 Solve 9170 + 8604 = -1024*x + 5009 - 14883 for x. -27 Solve -136*l - 30498 = -171*l + 633*l for l. -51 Solve -175*n + 37474 = -24501 + 51475 for n. 60 Solve -2236*i = 533*i + 240*i + 132396 for i. -44 Solve 5328 = -2354*u + 97134 for u. 39 Solve -9336 - 12216 - 11081 = -466*j - 8401 for j. 52 Solve 38*x + 58*x = -71*x + 21*x - 11096 for x. -76 Solve -583*u + 490*u = -185 + 8183 for u. -86 Solve 0 = 692*n - 27619 + 2236 - 2297 for n. 40 Solve -10*t + 41*t = -39*t - 188*t + 1548 for t. 6 Solve -27897 - 48232 + 18799 = 153*x + 1121*x for x. -45 Solve -4084*d - 25298 - 63270 - 123864 = 16272 for d. -56 Solve 105*o - 5283 - 8704 + 4117 = 0 for o. 94 Solve -4449180*z + 4449118*z = -3782 for z. 61 Solve -64*o - 5956 = -75*o - 137*o + 12840 for o. 127 Solve -797*f - 11957 = -36664 for f. 31 Solve 860 = -11738*b + 11748*b for b. 86 Solve 14849*x - 4524 = 15005*x for x. -29 Solve -11*h - 263 - 197 = 35*h for h. -10 Solve -6778 + 16523 - 2382 = 706*z - 17347 for z. 35 Solve 73*s = -592 + 3271 + 314 for s. 41 Solve 1139 = 902*l - 1439 - 10050 for l. 14 Solve -25610 = -2926*f - 139503 - 114089 + 31940 for f. -67 Solve 687*i - 196*i = -163*i - 120*i + 31734 for i. 41 Solve -110 - 466 + 199 = -16*h + 455 for h. 52 Solve -15*b - 6*b + 225 = 8*b + 631 for b. -14 Solve 10781 = -458*t - 2062*t + 101501 for t. 36 Solve 2267*m - 2150*m = -2106 for m. -18 Solve -564*w + 1002*w = -27594 for w. -63 Solve -34*t - 91*t - 15857 + 6982 = 0 for t. -71 Solve -35*g = -77*g - 459*g + 1503 for g. 3 Solve -9002 + 8924 = -78*x for x. 1 Solve 129*f - 48288 = -3895*f for f. 12 Solve 203*m + 268589 = 257018 for m. -57 Solve 0 = -92*d - 1046 - 2487 - 2447 for d. -65 Solve -2538*d - 2858*d = -356136 for d. 66 Solve 0 = 383*b - 693*b + 35*b - 2200 for b. -8 Solve 405*p + 2052*p = 3683*p + 99306 for p. -81 Solve 484805 + 148051 = -12480*c - 265704 for c. -72 Solve 6862 + 56622 = 1726*s - 46980 for s. 64 Solve 0 = 147335*g - 148507*g - 107824 for g. -92 Solve -1755*j - 1757*j + 1438 + 102 = -3526*j for j. -110 Solve 6056*q + 947*q = -210090 for q. -30 Solve 0 = 215*d - 807 + 809 - 2601 - 2561 for d. 24 Solve 1177*i + 1497*i - 32398 + 301032 = 27974 for i. -90 Solve -15634 = 1409*p + 30863 for p. -33 Solve 5010*r + 264046 = -96674 for r. -72 Solve -1238*z + 6114 + 4587 = -1115*z for z. 87 Solve 4109*v + 6646 + 153448 = -3492*v - 6953*v for v. -11 Solve 12957 - 1385 = -21*q + 532*q - 4780 for q. 32 Solve -2391*i - 16571 - 42788 = 19544 for i. -33 Solve -54*s = 5305 - 2605 for s. -50 Solve -934*q + 2111 = -323*q + 8832 for q. -11 Solve 234504 = -2012*a - 1245*a for a. -72 Solve -790*w - 52348 = 2060*w - 3898 for w. -17 Solve 0 = -105*h - 593 + 3953 for h. 32 Solve 8*j - 22*j + 51*j + 21*j = 986 for j. 17 Solve -30*r - 3*r = 17*r - 8*r - 1974 for r. 47 Solve 178182 = 2431*c + 6947*c for c. 19 Solve 0*s + 20275 = -14*s + 20891 for s. 44 Solve 0 = -1344*c - 41763 - 15046 + 3049 for c. -40 Solve 11322*t - 699703 = 2465*t for t. 79 Solve -30*b + 79*b - 57*b + 3696 = 69*b for b. 48 Solve -143*q + 122 = 244 - 122 for q. 0 Solve 0 = -67477*n + 67777*n - 8100 for n. 27 Solve 311514*y - 33228 = 311190*y + 16020 for y. 152 Solve 0 = 69*f + 10848642 - 10855680 for f. 102 Solve -99*l = -4*l - 51*l + 1409 - 4973 for l. 81 Solve -4410 = -759*i - 1006 + 2668 for i. 8 Solve 279902 = 461*u + 313555 for u. -73 Solve 1351*n - 6346 = 257*n + 17265 + 9209 for n. 30 Solve 2290*m + 2230*m = 4634*m - 5358 for m. 47 Solve 0 = -1288*w + 4445 - 317 + 2312 for w. 5 Solve -1013*o - 555048 = 982*o + 3639*o - 297*o for o. -104 Solve -616*y + 94*y - 3218 - 26519 - 4715 = 0 for y. -66 Solve -273*b - 1476 + 19830 = 164*b for b. 42 Solve -5602*p = -3840*p + 29954 for p. -17 Solve -1788*n + 4753*n = -269815 for n. -91 Solve -23*z - 77*z + 1423 + 325 = -8*z for z. 19 Solve 94*j + 107*j = -91*j + 290*j - 52 for j. -26 Solve -8*y - 401 + 37 = -83*y + 47*y for y. 13 Solve -1042 - 2991 = 41*o - 6534 for o. 61 Solve -696*w - 8922 - 16054 = -473*w for w. -112 Solve -86 = 381*y - 1019 - 210 for y. 3 Solve 189*t + 13499177 = 13512407 for t. 70 Solve 42249 = -1598*h + 3897 for h. -24 Solve 19976*m - 28035 = 20599*m for m. -45 Solve -450174 + 267824 = -9498*q + 303122 + 511818 for q. 105 Solve 2281*v - 1379*v - 1314*v + 4120 = 0 for v. 10 Solve 26*w + 16*w - 11645 = -95*w for w. 85 Solve -1182*u = 1010*u - 431*u + 6*u - 93651 for u. 53 Solve 716*d - 44081 = 7006 - 10895 + 18520 for d. 82 Solve -191146 = 7470*u + 301874 for u. -66 Solve 128 - 99 = 7*m + 211 for m. -26 Solve 3747 = 95*i + 545*i + 35*i - 4353 for i. 12 Solve 22*f + 4062 = 190*f - 1314 for f. 32 Solve -448*d = 653*d - 160*d - 84690 for d. 90 Solve 205*o = -18698 + 23208 for o. 22 Solve -122*b + 17*b - 1032 = 1133 + 40 for b. -21 Solve -184*c + 26*c - 60*c - 6976 = 0 for c. -32 Solve 0 = -3650*k - 21042 - 15395 - 63 for k. -10 Solve -1980 = -407287*t + 407122*t for t. 12 Solve -t - 1172740 = -1172852 for t. 112 Solve -8294*p = 1144*p + 1311882 for p. -139 Solve 1439*a - 5508 = -1345*a - 33348 for a. -10 Solve -2978 = -69*z - 3696 - 3698 for z. -64 Solve 93*c + 147*c - 2757 + 5114 = -10123 for c. -52 Solve 0 = 3376*b + 80811 + 6965 for b. -26 Solve 494*k - 60*k + 116*k + 1142*k - 37224 = 0 for k. 22 Solve -144*j + 3265532 - 3269564 = 0 for j. -28 Solve 45*x - 38*x = 34*x + 52*x - 1975 for x. 25 Solve -96*w - 1214 + 2366 = 0 for w. 12 Solve -235*l + 330*l + 30361 = -218*l for l. -97 Solve 143*y = 51*y - 564 + 250 + 5006 for y. 51 Solve 0 = 3355*m + 21012 + 2033 + 17215 for m. -12 Solve -586*j + 287*j + 64930 = 563*j + 648*j for j. 43 Solve 16381*x = 3986*x + 1747695 for x. 141 Solve -254959*s = -255164*s - 11275 for s. -55 Solve -412*r = 3924 + 3080 for r. -17 Solve -785 - 8397 = 487*o + 6197 + 2640 for o. -37 Solve -2040*w - 31642 = 81*w + 7335 + 45863 for w. -40 Solve 307*q + 144*q + 20425 = -24*q for q. -43 Solve 9*j + 231*j - 912*j + 21659 = 1297*j for j. 11 Solve -169*u = 678 + 167 for u. -5 Solve -101*p - 11735585 = -11729121 for p. -64 Solve 29954 = -3257*k + 683*k + 104600 for k. 29 Solve -7843*z + 2211088 = 8415*z for z. 136 Solve -57*c - 415397 + 413630 = 0 for c. -31 Solve 1022*p + 146*p + 65977 = 604*p - 3317*p for p. -17 Solve 94*m + 2400 + 889 = -205*m for m. -11 Solve 0 = 17*z - 13381 + 13330 for z. 3 Solve -145*z + 12124404 = 12113094 for z. 78 Solve -3420*l + 8099 = -3331*l for l. 91 Solve -99*k + 2920 = -781 + 723 - 2368 for k. 54 Solve 522873 = 67*v + 513828 for v. 135 Solve 544 = 116*x + 42*x + 9027 + 5579 for x. -89 Solve 106890 = 301*i - 2567*i + 313096 for i. 91 Solve -154672*n + 154706*n + 2176 = 0 for n. -64 Solve -46*i - 1181062 = -1182948 for i. 41 Solve 878*y + 6*y - 26784 = -604*y for y. 18 Solve 38*p + 316*p = -210*p + 176*p + 51604 for p. 133 Solve 11*v - 9*v = 106*v - 1456 for v. 14 Solve 190328 = 3516*l - 120277 + 53937 for l. 73 Solve -1607*f + 3503*f = 1728*f + 4704 for f. 28 Solve 111*n = 646*n - 4863 + 25193 for n. -38 Solve 0 = -2148*i + 82746 + 140646 for i. 104 Solve 0 = 495*f + 10423 + 6715 + 11077 for f. -57 Solve 0 = -3979*i - 17
{ "pile_set_name": "DM Mathematics" }
termine x(a(w)). -97*w Let w(y) = 344*y**2. Let h(b) = -9*b + 2*b + 9190 - 9190. Determine w(h(n)). 16856*n**2 Let w(z) = z. Let n(m) = -30298*m**2 + 641*m. Determine n(w(x)). -30298*x**2 + 641*x Let h(m) be the second derivative of -m**3/2 - 504*m. Let n(b) = 1. Let q(t) = 16*t**2 - 40. Let i(j) = 40*n(j) + q(j). Determine h(i(d)). -48*d**2 Suppose 3*c + 252 = 10*c. Let k(z) = c*z - 66*z + 33*z. Let q(d) = -3*d - 6. Calculate k(q(i)). -9*i - 18 Let n(k) = -233*k**2 - k. Let f(p) be the third derivative of p**7/2520 - 29*p**4/6 + 4*p**2 + 10. Let c(m) be the second derivative of f(m). Give n(c(x)). -233*x**4 - x**2 Let f(d) = 3*d - 94. Let t(y) be the third derivative of 13*y**4/24 + 56*y**2 - y. Determine f(t(r)). 39*r - 94 Let f(z) = 26*z**2. Let s(p) = -6*p**2 - 1317*p + 5. What is s(f(m))? -4056*m**4 - 34242*m**2 + 5 Let p(u) be the third derivative of u**4/24 - 13*u**2. Let x(n) = 5*n - 8. Let f be x(2). Let q(i) = -34*i**2 + 71*i**f - 28*i**2. Determine p(q(g)). 9*g**2 Let m(i) = i. Let u(g) be the second derivative of 91*g**6/720 + g**4/12 + 11*g**3/6 - 83*g. Let t(p) be the third derivative of u(p). Give t(m(f)). 91*f Let r(a) = 18*a. Let u(b) = -21*b - 42. Suppose j = h - 16 + 2, -j + 4*h = 14. Let g(k) = -2*k - 3. Let t(p) = j*g(p) + u(p). Determine r(t(q)). 126*q Let x be 1*-118 - (-14 - -17). Let k(m) = -7*m + 6. Let q(v) = 143*v - 121. Let b(z) = x*k(z) - 6*q(z). Let u(i) = 3*i. Determine b(u(j)). -33*j Let f(t) = 26*t**2 - 1514*t + 2. Let k(i) = 9*i**2. What is f(k(n))? 2106*n**4 - 13626*n**2 + 2 Let x(y) = 11813105*y**2. Let o(g) = -10*g. What is x(o(f))? 1181310500*f**2 Let f(y) = 7*y. Let c(r) = 58*r + 793. What is f(c(n))? 406*n + 5551 Let r = -23 + 29. Let a(x) = -x**3 + 6*x**2 + 9*x - 18. Let o be a(r). Let i(n) = 36*n + n**2 - o*n. Let m(j) = -39*j**2. Determine m(i(q)). -39*q**4 Let k(r) = -4*r**2. Let p(b) = -50*b + 60. Let n(w) = -94*w + 122. Let h(g) = 10*n(g) - 19*p(g). Determine k(h(s)). -400*s**2 - 6400*s - 25600 Let y(t) = -3799*t. Let m(f) = 17*f**2 - 26*f. Let v(c) = -8*c**2 + 12*c. Let w(o) = 6*m(o) + 13*v(o). Determine w(y(u)). -28864802*u**2 Let c(t) = 38*t**2 + 4*t - 4*t. Let y(r) be the first derivative of r**2 + 3508. What is c(y(q))? 152*q**2 Let q(m) = 0 - 3 + 13 - 11. Let r(g) = 16*g + 6. Let i(c) = -c - 4. Let k be i(-3). Let w(s) = k*r(s) - 6*q(s). Let x(h) = -h. Give x(w(j)). 16*j Let q(w) = 3*w**2 - 9 - 7 - 1 + 17. Let f(o) = -24*o. Calculate q(f(r)). 1728*r**2 Suppose 3 = -h, -26 = 4*v + 3*h - 277. Let x(n) = -135 + v + n**2 + 70. Let d(u) be the second derivative of -13*u**3/6 + u + 5. Determine x(d(b)). 169*b**2 Let k(o) = 2*o**2. Let q(c) be the second derivative of -13*c**3/6 + 19*c**2/2 - 3*c + 56. Give k(q(r)). 338*r**2 - 988*r + 722 Let l(j) = -569*j - 3 + 573*j + 3. Let r(w) = 16*w**2 - 2*w**2 + 2 + 2*w**2 + 5*w**2. Calculate l(r(u)). 84*u**2 + 8 Let g(b) = 118*b + 316 - 130*b - 316. Let z(a) = 26*a. What is g(z(d))? -312*d Let q(i) be the third derivative of -i**5/10 - 369*i**2. Let h(d) = d - 5. Let m be h(6). Let w(b) = -1 + 4*b - 5*b + m. Calculate w(q(u)). 6*u**2 Let c(h) be the third derivative of -203*h**4/24 + 182*h**2 - 14*h. Let t(r) = 24*r. What is c(t(j))? -4872*j Let w(h) be the third derivative of -101*h**5/60 - 7*h**2. Let z(o) be the third derivative of o**5/20 - 401*o**2. What is w(z(c))? -909*c**4 Let l(k) be the second derivative of 3*k**3 - 8916*k. Let s(x) = -23*x. Let w(i) = 4*i. Let u(v) = -6*s(v) - 34*w(v). Give u(l(f)). 36*f Let l(t) = -t. Let b = -16349 + 16351. Let q(u) be the second derivative of 0 - 15*u - 11/6*u**3 + 0*u**b. Calculate q(l(d)). 11*d Let v(i) = -2*i**2. Let w(z) be the first derivative of 230*z**3 + 912. Calculate w(v(p)). 2760*p**4 Let z(m) = 2*m. Let q(y) = -50*y**2 + 919671*y. Determine q(z(k)). -200*k**2 + 1839342*k Let y(k) = -5*k**2. Let s(t) = 2851158*t. Give y(s(i)). -40645509704820*i**2 Let j(h) = -2*h + 9. Let c(y) = -3*y + 10. Let b(m) = 3*c(m) - 4*j(m). Let w(a) = -2*a - 15. Let q(i) = 5*b(i) - 2*w(i). Let p(r) = -115*r**2. Give p(q(x)). -115*x**2 Let g(o) = -2*o. Let v(m) = -116*m. Let l(n) be the third derivative of -n**5/60 + n**4/24 - 2*n**2 + 2. Let i(q) = -116*l(q) - v(q). Give i(g(h)). 464*h**2 Let v(p) = 233329*p. Let t(r) = -32*r**2. Determine v(t(c)). -7466528*c**2 Let t(x) = 51*x**2 - 25*x - 4. Let v(j) = -57*j**2 + 24*j + 5. Let y(o) = -7*t(o) - 6*v(o). Let m(h) = -h. Give m(y(l)). 15*l**2 - 31*l + 2 Let l = 243 - 233. Let m(j) = 20*j - 6 + 16 - l. Let v(k) = k. Give m(v(t)). 20*t Let n(q) = -q**2 + 2*q - 12. Let z(u) be the first derivative of 4/3*u**3 + 37*u + 27 - 7/2*u**2. Let r(p) = -14*n(p) - 4*z(p). Let l(m) = 2*m. What is r(l(d))? -8*d**2 + 20 Let k(i) be the first derivative of i**3 + 8. Let s(m) = 29*m**2 + 1078*m - 1078*m. Determine k(s(h)). 2523*h**4 Let h(m) = -141*m**2 + 138*m**2 + 666*m**2. Let z(u) = 4*u**2. Determine h(z(q)). 10608*q**4 Let v(m) = -82*m - 329. Let f(s) = 82*s + 395. Let p(z) = 5*f(z) + 6*v(z). Let w(n) = -12*n**2. What is p(w(y))? 984*y**2 + 1 Let i(j) be the second derivative of j**3/6 + 787*j. Let u(h) = -14*h**2 + 3*h. Let g(y) = 153*y**2 - 34*y. Let s(k) = 3*g(k) + 34*u(k). Calculate i(s(v)). -17*v**2 Let i(h) = 2*h. Let k(q) be the third derivative of 5*q**4/8 - q**3/2 + 2*q**2 - 4. Give k(i(m)). 30*m - 3 Let y(b) = -40*b. Let u be -21 + 53 + -5*1. Let c(k) = 3*k**2 + 70*k - 22*k - 21*k - u*k. Calculate c(y(o)). 4800*o**2 Let t(p) = 2*p**2 - 3*p + 2. Let i be t(0). Suppose -i*l + 8 = 2*l. Let v(g) = 16*g - 5*g - 11*g - g**l. Let w(z) = 14*z**2. What is w(v(r))? 14*r**4 Let l(c) = 7*c**2. Let u(j) = 3*j**2. Let m(p) = 4*l(p) - 9*u(p). Let q(y) be the second derivative of -2 + 3*y**2 - 1/3*y**3 + 103*y. Calculate q(m(f)). -2*f**2 + 6 Let a(t) = -42*t + 6. Let j(z) = -123769*z. What is a(j(v))? 5198298*v + 6 Let v(f) = 2*f + 20. Let z(r) = -2. Let k(c) = -v(c) - 10*z(c). Let s(n) = -3*n**2 + 2*n**2 - 65 + 91. Calculate s(k(x)). -4*x**2 + 26 Let a(c) = -c**2 - 5*c + 62. Let s(q) = -q + 35. Let m(j) = 20*j - 770. Let i(d) = -m(d) - 22*s(d). Give i(a(n)). -2*n**2 - 10*n + 124 Let b(x) = -x**3 - 7*x**2 - 11*x - 2. Let q be b(-6). Let y = q - 24. Let k(a) = 5 - a - y - 1. Let w(o) = 6*o**2. Calculate w(k(i)). 6*i**2 Let o(y) = y - 4620 - 4*y + 9221 - 4601. Let q(v) be the second derivative of 0 + 0*v**3 + 0*v**2 + 1/6*v**4 - v. Give o(q(j)). -6*j**2 Let c(y) = -292855*y. Let x(m) = 404*m. Determine c(x(d)). -118313420*d Let g(t) be the third derivative of -27*t**2 + 0*t**3 + 0 - 1/6*t**4 - t. Let c(m) = -5*m - 11. Give g(c(b)). 20*b + 44 Let i(r) = 21*r + 16*r - 39*r. Let o = -17 - -23. Let u(w) = -o*w + 14*w - w. Determine u(i(y)). -14*y Let p(l) = 2013*l**2 + 577. Let q(s) = -28*s. Determine p(q(k)). 1578192*k**2 + 577 Let b(d) = 3*d**2 - 2*d - 945302. Let i(t) = -4*t + 7. What is b(i(v))? 48*v**2 - 160*v - 945169 Let i(a) = 4*a**2. Let q(x) be the second derivative of -x**7/315 - 5*x**4/12 + 4*x**3/3 + 5*x + 3. Let h(j) be the third derivative of q(j). Give h(i(d)). -128*d**4 Let n(k) = 22*k**2. Let d(i) be the second derivative of i**3/3 + 8*i**2 - 3*i + 134. What is n(d(j))? 88*j**2 + 1408*j + 5632 Let r(k) = -13*k**2 + 5. Let t(s) = 1. Suppose -4*d = -160 + 156. Let c(h) = d*r(h) - 5*t(h). Let o(a) = a**2. What is c(o(n))? -13*n**4 Let x(y) = -13*y. Let p(r) = -65439738*r**2. Determine p(x(a)). -11059315722*a**2 Let q(l) be the first derivative of l**2/2 + 1891. Let r(k) = 9 - 9 - 15 + 5*k. Give q(r(x)). 5*x - 15 Let k(n) = 103*n. Let w(z) = -4703*z + 35. Let p(x) = 266*x - 2. Let c(o) = 106*p(o) + 6*w(o). Calculate k(c(j)). -2266*j - 206 Let k(i) = 65485*i**2. Let o(q) = -67*q + 4. Determine o(k(x)). -4387495*x**2 + 4 Let g(k) = -9*k - 8. Let r(o) = -83*o**2 - 3*o - 191. What is g(r(b))? 747*b**2 + 27*b + 1711 Let g(o) = o**2. Let q(z) be the second derivative of 7*z**3/6 - 35*z**2/2 - 988*z. Determine g(q(a)). 49*a**2 - 490*a + 1225 Let z(b) = -568*b. Let w(f) = 38672*f**2. Calculate z(w(x)). -21965696*x**2 Let q(f) = 2*f - 3286. Let b(o) = -219*o + 434*o - 109*o - 107*o. What is b(q(z))? -2*z + 3286 Let w(d) = 113*d**2. Let q(h) be the first derivative of -9 - 4*h**2 + 6*h**2 - 24 + 33 + 77. Determine q(w(j)). 452*j**2 Let k(h) = -h**2. Let p(y) = -1664*y - 2315*y - 1119*y + 304*
{ "pile_set_name": "DM Mathematics" }
be y(-10). Suppose 7*q - w = 2*q. What is the remainder when c is divided by q? 13 Let t = -14 - -14. Suppose -2*g - 5*g + 182 = t. Calculate the remainder when 50 is divided by g. 24 Let d = 702 - 448. Calculate the remainder when d is divided by 51. 50 What is the remainder when 70/(-245) - (-3336)/14 is divided by 16? 14 Suppose -2*q - 1 = -z - 6*q, 5*q + 10 = 0. Let y(t) = t**3 - 11*t**2 + 20*t + 7. What is the remainder when y(z) is divided by 14? 11 Suppose -11 = -6*n + 67. Let j = -12 - 13. Let y = j - -49. What is the remainder when y is divided by n? 11 Suppose 7*s - 3*n = 3*s - 433, -3*s = n + 328. Let y = s + 239. Calculate the remainder when y is divided by 33. 31 What is the remainder when 179 is divided by 215/6 + 15/90? 35 Let a = 91 - 89. Suppose a*j - 19 = 31. Suppose -3*f + 8 = g, g + 0*f - 20 = 3*f. What is the remainder when j is divided by g? 11 Let i = -313 - -424. Calculate the remainder when i is divided by 18. 3 Let l(r) = 104*r**2 - 1 - 52*r**2 + 7*r - 50*r**2. Let x = 18 + -10. Calculate the remainder when l(-5) is divided by x. 6 Let t(g) = g**2 - g - 9. Let z(k) = -k**2 - 12*k - 8. Let w be z(-12). Let l = 14 + w. Calculate the remainder when t(l) is divided by 9. 3 Let c be 27/5 - 39/(-65). Suppose -j - c*y + y = -78, 217 = 4*j + y. What is the remainder when j is divided by 14? 11 Let v = -36 - -72. Suppose 1598 = 11*l + 47. Calculate the remainder when l is divided by v. 33 Let u = 66 - 22. Let d = u - 20. What is the remainder when 69 is divided by d? 21 What is the remainder when (18/(-4))/(1*6/(-200)) is divided by 26? 20 Let q(r) = r - 6. Let j be q(0). Let m be 10/(-15) + (-4)/j. Suppose -4*f + 5*o + 77 = m, 3*o = 2*f - 0*o - 39. Calculate the remainder when 33 is divided by f. 15 Let c = 1400 - 1382. Calculate the remainder when 1295/20 - (-2)/8 is divided by c. 11 Suppose -3*z = 9 + 9. Let u(i) = i**2 - 4*i + 2. What is the remainder when u(6) is divided by (-4)/12 - 32/z? 4 Suppose -124 = -c + 30. Calculate the remainder when c is divided by 39. 37 Let x = 190 + -162. Calculate the remainder when 80 is divided by x. 24 Let f = 5 + -5. Suppose -p = -f - 15. Suppose -3*b = 4*k - 132, 3*b - 7*k = -3*k + 132. What is the remainder when b is divided by p? 14 Suppose -3*k + 0*k + 141 = 0. Let l = -72 + k. Let u = l + 37. What is the remainder when 34 is divided by u? 10 Let f = 78 - 69. What is the remainder when ((-24)/5)/(3/(-20)) is divided by f? 5 Let z = 459 - 442. Let s = -20 - -53. What is the remainder when s is divided by z? 16 Suppose 0 = -75*v + 108*v - 1320. Calculate the remainder when v is divided by (-4)/12 - 92/(-6). 10 Let x = 314 - -1089. Calculate the remainder when x is divided by 27. 26 Suppose -2*m - 6 = 2*l, -47 = -5*m + 4*l - 17. Calculate the remainder when (20/(-15))/((-10)/75) is divided by m. 0 Suppose 9*i = 4*i + 475. Let t = -10755 - -10779. What is the remainder when i is divided by t? 23 Suppose 4*z - 6 = 10. Suppose 176 = z*k + 20. What is the remainder when 1178/57*(-15)/(-2) is divided by k? 38 Let m be (-29)/(14/(-3) + 5). Let p = m - -98. What is the remainder when 65 is divided by p? 10 Let x = 4 - -34. Let p = x + -30. What is the remainder when 23 is divided by p? 7 Suppose -u - 2*u = -4*l + 816, -4*l + u = -808. Let r = 355 - l. Suppose 5*f - 275 = 3*o, -5*f = 4*o - r - 156. Calculate the remainder when f is divided by 20. 18 What is the remainder when (-1022)/(-70) - (-4)/10 is divided by -1*((0 - 5) + -2)? 1 Let o(i) = 18*i**2 + 4*i + 5. Let z(s) = -9*s**2 - 2*s - 2. Let v = 8 + -15. Let l(p) = v*z(p) - 3*o(p). What is the remainder when 18 is divided by l(1)? 8 Let x be ((-2)/6 - 0)*-93. Suppose -7*d + 18 + x = 0. What is the remainder when d is divided by 3? 1 Let x(u) = 2*u**2 + 2*u - 23. Let k be x(0). Let z = k - -110. What is the remainder when z is divided by 8? 7 Let x = 13 - 7. Let v be x/(1/(3 - 4)). What is the remainder when 11 is divided by (v - 0)*(-6)/4? 2 Suppose -4*y = -x + 13, -5*x + 6*y - 10*y - 7 = 0. What is the remainder when (4*x)/((-1)/(-32) + 0) is divided by 26? 24 Suppose 2*h = 9 + 23. Suppose -1741 + 441 = -100*v. What is the remainder when h is divided by v? 3 Let a be -3*(4/(-6) - 1). Suppose -2*l + 4 = 5*t - 4, a*t + 20 = 0. What is the remainder when l is divided by 5/(50/(-110)) - -16? 4 What is the remainder when 59 is divided by 1*-5*(-323)/95? 8 Suppose 4*k + 24 = -48. Let n = k - -36. Calculate the remainder when n is divided by 8. 2 Suppose 2*d = -8 - 22. Let j be (-24 - 0)*(-8)/6. Let v = j + d. What is the remainder when v is divided by 12? 5 Let u = 2 + 7. Let a = -17 + 38. Let l = a + 12. Calculate the remainder when l is divided by u. 6 Suppose z + 0*z - 15 = 0. Suppose -4*f + 373 = h, 3*h + 480 = 5*f + 7*h. Let r = -33 + f. Calculate the remainder when r is divided by z. 14 Let a(j) = 13 - 2*j - 2*j + 2*j + 3*j. Calculate the remainder when a(-11) is divided by 2. 0 Let l(n) = -n + 0*n - 3*n + 5*n + 6. What is the remainder when 65 is divided by l(11)? 14 Let s(w) = -42*w - 17*w - 6*w. What is the remainder when s(-1) is divided by 22? 21 Let c(o) = 13*o**2 - 11*o + 7. What is the remainder when c(-3) is divided by 23? 19 Let h = 45 + -43. Suppose -h*o = 4*a - 98, -9*o + 127 = 5*a - 5*o. Calculate the remainder when 45 is divided by a. 22 Let q(u) = -u**2 + 7*u + 4. Let d = -1 + 6. Calculate the remainder when 25 is divided by q(d). 11 Suppose 14*c - 12*c - 134 = 0. What is the remainder when c is divided by 32? 3 Suppose -20 = 1396*w - 1400*w. Calculate the remainder when 64 is divided by w. 4 Let x = 25 + -9. Let q = 61 + -32. What is the remainder when q is divided by x? 13 Suppose 0 = -0*g + 2*g - 58. Calculate the remainder when (5 + -8)/(9/(-156)) is divided by g. 23 Suppose 34*r = 36*r - 104. What is the remainder when 54 is divided by r? 2 Suppose -p = -2*b - 8, 0 = 4*p + 3*b - 1 + 2. Suppose p*m + 2*m - 84 = 0. Suppose 87*r - 992 = 52. What is the remainder when m is divided by r? 9 Suppose -68 = 3*h - h. Let v be h/(-9) + (-6)/(-27). Calculate the remainder when 113 is divided by (-31 - -2)*v/(-4). 26 Let i = -9 - -12. What is the remainder when 55 is divided by 12*(i/9 - 2)*-1? 15 Let z(t) = 5*t**2 + 4*t + 6. Let g be z(-2). Calculate the remainder when 33 is divided by (-2)/(((-28)/g)/7). 6 Let z(c) = c - 2. Let k be z(0). Let j = k + -6. What is the remainder when (38/(-8))/(j/32) is divided by 10? 9 Suppose 0 = 9*p - 40*p + 10819. What is the remainder when p is divided by 8? 5 Suppose -14*m + 61 = -9. What is the remainder when 33 is divided by m? 3 Suppose 14*n + 552 = 38*n. What is the remainder when 182 is divided by n? 21 Suppose -5*k - 5*u + 30 = 0, 2*k - u - 12 = -3. What is the remainder when k is divided by 3? 2 Suppose -17*k + 350 = -7*k. Calculate the remainder when 108 is divided by k. 3 Let h(i) = 2*i + 22. Let y be h(-10). Let a(k) = k**3 + k**2 - 3*k. Calculate the remainder when 12 is divided by a(y). 0 What is the remainder when ((0 - 3)/(-3))/((-4)/(-292)) is divided by 20? 13 Let h(k) = 9*k**2 - k. Suppose -5*s = 5, -3*s - s = 4*v - 28. What is the remainder when h(-1) is divided by v? 2 Calculate the remainder when 1035 is divided by -3 + (155/62)/((-1)/(-8)). 15 Let i = -45 + 90. What is the remainder when i is divided by (-2 + -11)*(0 + -1)? 6 Let a be 3/(3/53)*(2 - 3). Let x = -38 - a. What is the remainder when 42*(4/(-3))/(-2) is divided by x? 13 Let a = 17 - 14. Suppose -3*h = 12, -a*t + 2*t = h - 10. What is the remainder when 95 is divided by t? 11 Let k = 18 - 20. Let l be 12*k/(-4) - 2. Suppose -l*g - 92 = -8*g. Calculate the remainder when g is divided by 6. 5 Let p(g) = 2*g**2 + 19*g - 24. What is the remainder when p(-14) is divided by 26? 24 Let t(y) = 2*y**2 + 6*y - 6. Let v be t(-7). Let g = 100 + v. Calculate the remainder when g is divided by 51. 48 Calculate the remainder when 2/(1 - (-19)/(-21)) is divided by 6/30 + 354/30. 9 Let j = 0 - -1. Suppose -f = 2*g + j, 2*f - 29 = -2*f + 3*g. Calculate the remainder when 14 is divided by f. 4 Let g(m) = -6*m**2 - 20*m - 15. Let o(c) = -14*c**2 - 40*c - 30. Let a(t) = -5*g(t) + 2*o(t). Calculate the remainder when 42 is divided by a(-10). 12 Suppose 3*u = -u + z + 25, 19 = 3*u - z. Suppose 0 = k + u - 13. What is the remaind
{ "pile_set_name": "DM Mathematics" }
. -k**2 Expand -3 + 3 - y**4 + (-3*y + 3 - 3)*(2 - 2 + y)*(2*y**2 + y**2 - 2*y**2). -4*y**4 Expand (f - 3*f + f)*(-f + 5*f - 5*f) + f**2 - 2 + 2 + (-2*f + 6*f - 3*f)*(1 - 1 - 2*f) - 2*f**2 + 4*f**2 - 5*f**2. -3*f**2 Expand (-t**2 - t + t)*(-2*t + 3*t + 2*t) - 2*t**3 - 3*t**3 + 4*t**3 - t**3 + 3*t**3 - t**3 + (3*t - 3*t - 2*t**2)*(1 - 1 + 2*t). -7*t**3 Expand (-7 + 1 + 3)*(8*k - 2*k + 2*k). -24*k Expand 2*a - 2 + 2 + (-a + a + a)*(4 + 0 - 3) - a + a + a - a - 2 + 2 + (-a + 1 - 1)*(-4 + 0 + 2). 5*a Expand (3 - 3*m - 3)*(2 + 0 - 1 + (0 - 3 + 1)*(2 - 1 - 4))*(m - 4*m + m). 42*m**2 Expand (-1 - 2 + 5)*(-2*z + 0*z + 4*z)*(-z**2 + z**2 + 6*z**3). 24*z**4 Expand (2*z + 4*z - 5*z)*(-1 + 1 + 2)*(-10*z + 18*z + 10*z)*(-2*z + 2 - 2). -72*z**3 Expand 1 - 1 - 2*t**2 + (4*t**2 - 4 + 4)*(1 + 4 - 4) - t**2 + 0*t**2 + 2*t**2. 3*t**2 Expand (-5 - 4 + 2)*(k - 4*k - 2*k + 2). 35*k - 14 Expand (-1 + 1 + 1)*(-2 - 1 - 5)*(2*y + 0*y - 3*y). 8*y Expand (3 + 3 - 2)*(-23*d + 87*d + 53*d). 468*d Expand (0 + 0 - g**3 + (3 + 2*g**2 - 3)*(3 - g - 3) - 5*g**3 + 3*g**3 + 3*g**3 + 2*g**2 - g**3 - 2*g**2 + 0*g + 0*g + 2*g**3)*(-3*g + 0*g + 7*g). -4*g**4 Expand (-2*z**2 + 2*z**3 + 2*z**2)*(-3*z + 3*z + 5*z + (1 - 1 - z)*(1 + 0 - 3) - 3*z + 4*z + 0*z) + 6*z**4 - 6*z**2 + 6*z**2. 22*z**4 Expand (-7 + 15 + 14*w - 10)*(-4*w**2 + 5*w**2 - 3*w**2). -28*w**3 + 4*w**2 Expand -u**2 - 2*u**2 + 2*u**2 + (1 - 3 + 4)*(-1 + 1 + 2*u**2) - u**2 + 2 - 2 + (4*u + 3*u - 4*u)*(u + 2*u - 5*u). -4*u**2 Expand (-1 - 3 + 1 + (2 + 0 - 4)*(1 + 1 - 1))*(2*b**3 - 2*b**3 + 7*b**3). -35*b**3 Expand (-2 + 3 - 3)*(-2 + 2 - x) + (1 + 0 - 3)*(-3*x + 4*x - 3*x). 6*x Expand 3*a**4 + a**4 - 2*a**4 + 2*a**3 - a**4 - 2*a**3 + (5 - 2*a**2 - 5)*(a**2 + 2*a**2 - a**2) - 18*a + 2*a**4 + 18*a. -a**4 Expand (-2343*a - 12 - 23 + 2344*a)*(-5 + 1 + 5). a - 35 Expand (2 + u - 2)*(-16*u - 11*u**2 + 16*u) - 5*u**3 + 3*u**3 + 4*u**3 + (u**2 + 4*u - 4*u)*(u - u + u) + 0 + u**3 + 0 + 3*u**3 + u**3 - 5*u**3. -8*u**3 Expand (-7 + 12 + 8)*(-2*o - 9*o**3 + 2*o) + 3*o**3 + 0*o**3 - 5*o**3. -119*o**3 Expand (-1 - 2 + 4)*(-3 + y**3 + 3) - 2*y**2 - 2*y**3 + 2*y**2 + (y**3 + y**3 + y**3)*(-8 + 0 + 0). -25*y**3 Expand (3 - 5 + 1)*(3*s**2 - 3*s**2 - 2*s**2) + 0*s + 0*s - s**2. s**2 Expand (-5*q + q**2 + 5*q)*(q + q - q) + 13*q**3 - 17*q**2 + 17*q**2. 14*q**3 Expand (1 + 32*u**5 - 143*u**2 + 143*u**2)*(-5 - 2 + 5). -64*u**5 - 2 Expand 11*t - 36*t + 18*t - t**3 + (-1 + 1 - 2*t)*(-2*t**2 + 0 + 0) - t**3 - 2*t**3 + 2*t**3. 2*t**3 - 7*t Expand -5*q - q**2 + 5*q + 2*q**5 + 3 - 2*q**5 - 3 + (q - 3*q + 3*q)*(q**4 + 3*q**4 - 3*q**4) - 3*q + 2*q**5 + 3*q. 3*q**5 - q**2 Expand (-2*m**4 + 5*m**4 - 2*m**4)*(-494 + 494 + 37*m). 37*m**5 Expand (1 - 1 - 3)*(21*i - 21*i + 4*i**3). -12*i**3 Expand (-q**3 + q**2 - q**2)*(4 - 6 + 4)*(-3 - 2 + 6). -2*q**3 Expand 3*j**5 - j**5 - j**5 + (-5*j**4 + j**4 + 3*j**4)*(-2*j + j - j) + 4*j**5 + 2*j**4 - 12*j**5 - 2 + 4. -5*j**5 + 2*j**4 + 2 Expand (p + 4 - 4)*(p**2 + 2*p**2 - p**2) - p**3 - 2*p**2 + 2*p**2 + p**3 + 2*p**3 + p**3 - 6*p**3 + 4*p**3 + 0*p**3. 3*p**3 Expand (3*u - 3*u - 2*u + (-2 - 2 + 0)*(7*u + 16 - 16))*(-1 + 2 + 1). -60*u Expand ((4*m - 4*m - 2*m)*(-2*m**3 + 0*m + 0*m) + 4*m**4 - 10*m**4 - 5*m**4)*(0 + 0 - 4*m). 28*m**5 Expand 6*y**3 - 5*y**3 + 2*y**3 - 3 - y**3 + 3 + (-y**2 - 2*y**2 + y**2)*(y + 0 + 0) + (-2*y + 4*y + 0*y)*(3*y**2 - 2*y**2 + y**2). 4*y**3 Expand (-1 + 2 - 8)*(-3*l**2 + 2 - 2). 21*l**2 Expand 0*l**4 + 3*l**4 + 0*l**4 + l**4 + l**3 - l**3 + (-4 + 4 - 2*l)*(0*l**3 - 2*l**3 + 3*l**3). 2*l**4 Expand (0 + 5 - 11)*(0*y + 0*y - 3*y)*(y**4 + 0*y**3 + 0*y**3). 18*y**5 Expand 107*u**3 - 56*u**3 - 21*u**3 + (2*u - 2*u + 2*u**2)*(-2 - u + 2). 28*u**3 Expand ((m + 3*m - 2*m)*(-m - 2*m + 2*m) - 2*m**2 + m**2 + 2*m**2)*(6 + 9 - 14). -m**2 Expand (-4*c**4 + c**4 + c**4)*(2*c - 15 + 0*c + 2). -4*c**5 + 26*c**4 Expand (h**4 + 0*h**4 + 0*h**4)*(-70 - 50 - 110 + 58). -172*h**4 Expand -m**5 + 14*m**5 + 4*m**5 + (-4*m**2 + 4*m**2 + 2*m**2)*(-m + m - 2*m**3) - 4*m**5 + 3*m**5 - m**5 + (1 - 1 + 2*m)*(-1 + m**4 + 1). 13*m**5 Expand (-w**2 - 3*w + 0*w + 2*w**2 + (6 - 6 - 7*w)*(3*w - 5*w + 0*w))*(2*w**3 - 4*w**3 + w**3). -15*w**5 + 3*w**4 Expand 19 + z**2 - 16 + z**2 - z**2 + z**2 + z**2 + 2 - 2 + 2*z**2 + (-2*z - 2 + 2)*(0 + 0 - z). 7*z**2 + 3 Expand (-2 + 6*z + 2)*(-2*z + 2*z + 2*z**2). 12*z**3 Expand (-4*l + 2*l + l)*(-l + 5*l + l) - 6*l**2 - 8*l**2 + l**2. -18*l**2 Expand r**3 - 3 + 3 + (0*r**2 - r**2 + 3*r**2)*(3*r + 3 - 3). 7*r**3 Expand (-3*n**2 + 2*n - 2*n)*((7*n + n - 4*n)*(0 + 3 - 5) - 4 + 4 + 2*n). 18*n**3 Expand 2*v**2 - 2*v**2 + v**5 + (-v - 2*v + v)*(3*v - 3*v + 2*v**4) + 2*v**4 + v**5 - 2*v**4 - 2*v**5 + 5*v**5 - 2*v**5 + (v**4 + 3 - 3)*(-v + v - 2*v). -3*v**5 Expand (-t - t + 0*t)*(-4*t - t + 3*t) - 7*t**2 + 2*t**2 + 2*t**2 + 0*t + 0*t - 2*t**2. -t**2 Expand ((2 - 4 + 0)*(5 + 2*a - 5) + (3 - 3 - 2)*(2*a + 1 - 1))*(-2*a**3 + 6*a**3 - 2*a**3). -16*a**4 Expand -a**2 - 4*a**2 + 3*a**2 + 2*a - a**2 - 2*a + (-2*a + 4*a - 4*a)*(-3 - 2*a + 3) + (-a**2 + a**2 + a**2)*(1 + 2 + 0). 4*a**2 Expand (2*u + 4 - 2 - 3*u)*(2 + 3 + 2). -7*u + 14 Expand (-1 + 5 - 3)*(2*y**4 + 2*y**4 - 2*y**4) + (-1 + 3 - 4)*(0*y**4 + y**4 + y**4) + 40*y**4 - 113*y**2 + 113*y**2. 38*y**4 Expand (-3*x + 2 - 6 + 5)*(2 + x**2 - 2). -3*x**3 + x**2 Expand (-2 + 7 - 3)*(l - 3*l + l)*(-2 - 4 + 1)*(2*l + 5 - 5). 20*l**2 Expand a**2 + a**2 + 2*a**2 + (-4 - 2 + 5)*(-a**2 + 2*a - 2*a) + 0*a**2 + 2*a**2 - a**2 + 2*a**2 + 3*a**2 - 3*a**2 + (-a + 0*a + 0*a)*(2 - 2 - 2*a). 10*a**2 Expand (-1 + 1 + 10*t)*(-2 + 2 - 3)*(t**2 + 4*t - 4*t). -30*t**3 Expand (2*r**3 - 1 + 1)*(1 - 4*r - 14 + 10). -8*r**4 - 6*r**3 Expand (-10 - w**2 + 10)*(-2 + 2 + 2*w**2) - 2*w**4 + 4*w**4 + 0*w**4 + (2*w**2 + w**2 - w**2)*(2*w - 2*w + 2*w**2). 4*w**4 Expand (i - 3*i + 6*i)*(i**2 - i**2 + 2*i**2) + 3*i**3 + 0*i**3 - 5*i**3. 6*i**3 Expand (-2*u**3 - 9*u**3 + 4*u**3)*(0 + 3 - 2). -7*u**3 Expand (3 + 5 - 6)*(4*h**2 + h**2 + 3 - 4*h**2). 2*h**2 + 6 Expand (-19*l**3 + 73*l - 73*l)*(3*l - 2*l + l). -38*l**4 Expand (0*q**2 + 3*q**3 + 0*q**2)*(3*q**2 + 4*q - 3*q - 7*q**2). -12*q**5 + 3*q**4 Expand -36*i**4 + 29*i**4 + 27*i**4 + (-2 + 2*i + 2)*(1 + 2*i**3 - 1) - 4*i**4 + 3*i**4 - i**4. 22*i**4 Expand (4 - g - 4)*(-3 + 6 - 1)*(3*g**2 + 6*g**4 - g**4 - 2*g**2). -10*g**5 - 2*g**3 Expand (-1 + 1 + 3*h**3 + (2 - 1 + 0)*(-2*h**3 + 2*h - 2*h) + 1 - 2*h**3 - 1)*(0 + 0 + 3*h**2). -3*h**5 Expand (-3*u**3 + 3*u**3 + u**3)*(-u**2 - 3*u**2 + 5*u**2) + 7*u**5 - 252*u + 3 + 252*u. 8*u**5 + 3 Expand -4*i**2 - i**4 + 4*i**2 + (i - i + 2*i**2)*(0*i**2 + 0*i**2 + 2*i**2) + (i - 3*i**3 - i)*(97 - 97 - 5*i). 18*i**4 Expand (5*r + 6*r**3 - 5*r)*(5*r - 4*r + 2*r). 18*r**4 Expand -2*u - u**5 + 2*u + (3*u**3 + u**3 - 5*u**3 + (u**3 - u**3 + 3*u**3)*(-3 - 1 + 1) - u**2 + u**2 - 2*u**3)*(-2*u**2 + 0*u**2 + u**2). 11*u**5 Expand (3*d - 3*d - d)*(-2*d + 3*d + d)*(-3*d**3 + d**3 + 3*d**3). -2*d**5 Expand -3*z + 1 - 1 + 0*z + 3*z + 0*z + 0 - z + 0 + (2 - 1 + 1)*(-2*z - z + 4*z) - 2*z + 2*z - 2*z. -z Expand (7 - 3 + 1)*(-1046 + 1046 - 43*t). -215*t Expand (-4*c - 3 + 3)*(0 + c + 0)*(-1 + 4 - 2). -4*c**2 Expand (2*z**2 - 2*z**2 + z**5 + (-2*z**3 + 0 + 0)*(1 - 1 - z**2) + 0 + 0 + z**5 + 3*z**2 + 3*z**5 - 3*z**2 + 0*z**5 + 5*z**5 - z**5)*(1 + 1 - 5). -33*z**5 Expand (2 + 1 - 1)*(2*g - 4*g + 3*g + (g + 3*g - 2*g)*(0 + 0 + 1) + 2 - 2 + 2*g). 10*g Expand (n**2 + 5*n - 5*n)*(-5*n + 3*n + 6*n + (-4*n + 3 - 2 + n)*(5 - 6 - 1)). 10*n**3 - 2*n**2 Expand -d**3 + 5*d**3 - 3*d**3 + (5*d**2 - d**2 - 2*d**2)*(-2*d + 2 - 2) - d**3 - 5*d**3 + 7*d**3. -2*d**3 Expand (-q**2 + 0*q**2 + 0*q**2)*(-q**2 + 5 - 5) + 0*q + 0*q + 5*q**4. 6*q**4 Expand -3*d**3 + 3*d - 3*d + (-4*d**3 + 2*d**2 - 2*d**2)*(2 + 5 - 5). -11*d**3 Expand (-12 + 11 - 3)*(2*v**5 - 3*v**5 + 0*v**5). 4*v**5 Expand q**4 + 0*q**4 - 2*q**4 + (-q**2 + 62*q - 62*q)*(2*q**2 + 0*q + 0*q). -3*q**4 Expand (-4 + 4 + 2*v**2)*(-23*v + 17*v - v**2 + 7*v). -2*v**4 + 2*v**3 Expand -y**2 - 16*y**2 + 4*y**2 + (2*y**2 + 0*y + 0*y)*(0 - 4 + 2) + (-y - y + 4*y)*(y + y - y). -15*y**2 Expand (6 - 5*f - 6)*(2*f**3 + 2*f**3 - 2*f**3 - f**2). -10*f**4 + 5*f**3 Expand (2*a**2 - 3*a**2 + 0*a**2)*(-4*a + 3*a - 3 + 2*a)*(-2 + 0 + 5)*(-1 + 5 - 2). -6*a**3 + 18*a**2 Expand ((u - 2*u + 3*u)*(0*u + 0*u
{ "pile_set_name": "DM Mathematics" }
= 1383*p + 5988. List the prime factors of a(22). 2, 3, 7, 17 Suppose -26206*w = -26214*w + 65912. List the prime factors of w. 7, 11, 107 Let q = 190 + -186. Suppose -2*l + 316 = -2*g, g + 647 = -0*l + q*l. What are the prime factors of l? 163 Let q = -9209 - -9307. Let w = 22 + -66. Let y = w + q. What are the prime factors of y? 2, 3 Let d(b) = -b**3 + b + 970. Suppose h - 2 = -f, 0 = -5*f + h - 3 + 1. List the prime factors of d(f). 2, 5, 97 Let t(a) = -57*a - 35. Let v(o) = -29*o - 17. Let i(l) = 3*t(l) - 5*v(l). Let d be i(10). Let b = -190 - d. What are the prime factors of b? 2, 3, 5 Let u = 20646 - 19878. List the prime factors of u. 2, 3 Suppose -8*n = -292 + 92. List the prime factors of (-6205)/(-25) - (-20)/n. 3, 83 What are the prime factors of (39/4)/13 + (-196719)/(-12)? 2, 7, 1171 Suppose -9 = 3*t + 3*b, b + 0*b = -2*t - 1. Let x be (-11 - 437)*(-7)/t. Suppose -11*o + x + 401 = 0. What are the prime factors of o? 179 Suppose -31*i + 384506 = -291542. List the prime factors of i. 2, 29, 47 Let i(x) = x**2 + 62*x + 6071. List the prime factors of i(0). 13, 467 Let p(b) = -b**3 + 24*b**2 - 22*b - 11. Let m be p(23). Suppose m*r = 5*r. List the prime factors of r/(-3) - 192*-1. 2, 3 Let s be 7/(-35) + 56684/20. Suppose 7*l - s + 468 = 0. What are the prime factors of l? 2, 13 Suppose 85770 - 960990 = -87*h. List the prime factors of h. 2, 5, 503 Suppose 28149 = -30*n - 3*n. Let i = n - -1475. What are the prime factors of i? 2, 311 Let o be (1/1)/(9/36). Let i = 1058 + -1554. List the prime factors of i/(-4) - (o + -2). 2, 61 Suppose 2*o + 6 = 0, -3*h + 2*o - 152 = 205. Let n = h - 27. Let s = 14 - n. List the prime factors of s. 2, 3 List the prime factors of (20651 - 9) + (-416)/(-32). 3, 5, 17 What are the prime factors of -2 - ((-45)/(-9) - 10031)? 2, 7, 179 Suppose -26*v = -24*v - 8. Suppose k + v*k + 5*g = 80, 2*k - 2*g - 32 = 0. Suppose -k*f + 7*f = -207. What are the prime factors of f? 23 Suppose -3*r + 24 = -11*r. Let y be r/(-18)*-4 + 32/12. Suppose 0 = -l - 5*t - 17, -8 + 28 = 4*l - y*t. List the prime factors of l. 3 Let t(u) = 542*u**2 - 3*u + 6. What are the prime factors of t(5)? 11, 1231 Let s(x) = 4 - 3*x - 5*x + 3*x**3 + x**3 + 3*x + 8*x**2 - 5*x**3. What are the prime factors of s(6)? 2, 23 Suppose 4*r = -3*b + 20953 - 1899, 4*r = -4*b + 19060. What are the prime factors of r? 4759 Let r(w) = 14*w**2 - 6*w + 1. Let z be r(4). Suppose -309 = -5*x + z. List the prime factors of x. 2, 3, 17 Let s = -45 - -39. Let f be 8/s + (-1330)/(-30). Suppose 3 - f = -5*t. What are the prime factors of t? 2 What are the prime factors of (-818244)/(-459) - (-2)/12*-10? 13, 137 Let u = 111 - 111. Suppose -6*s + 2*b + 2286 = -s, 2*s + 2*b - 920 = u. What are the prime factors of s? 2, 229 Suppose 2*a + 5*o = -23, 22 = -3*a - 4*o - o. What are the prime factors of (9*2*a)/((-15)/(-710))? 2, 3, 71 Let z(a) = -a**3 + 4*a**2 + 11*a - 6. Let n = 69 + -55. Suppose n*v = 17*v - 15. List the prime factors of z(v). 2, 3 Let j(o) = -2750*o + 707. What are the prime factors of j(-15)? 41957 Let g be (10/(-15) - -1)/((-4)/362844). What are the prime factors of (g/(-30) - 2) + 8/80? 2, 503 List the prime factors of (-2)/(-2)*(8951 + (-11 - 17)). 8923 Let l = -14242 - -32632. List the prime factors of l. 2, 3, 5, 613 Let w be (-1 + -3)*1*39/(-52). What are the prime factors of w/(-9)*(-1101 - 0)? 367 Let w be (4 + -7)/(3*(-4)/8). Suppose 0 = 2*h - 4*h + 5*c + 530, c = w*h - 546. What are the prime factors of h? 5, 11 Suppose 0 = -l - 3, 2*k = 5*l - 8 + 25. Let a(z) = 90*z - 10. Let r be a(k). List the prime factors of 222 + (r/35 - (-2)/(-7)). 2, 7 Let w(j) = -282*j - 183. List the prime factors of w(-10). 3, 293 Suppose -137*d = 83*d + 59*d - 6132978. What are the prime factors of d? 2, 29, 379 Let h(m) = 71*m**2 - 124*m + 4. What are the prime factors of h(23)? 103, 337 Let s be 21024 + 4 + (-7 - -3). Suppose 21*a = s + 16755. List the prime factors of a. 7, 257 Let y = -44006 + 82782. What are the prime factors of y? 2, 37, 131 Suppose -5 = -5*t, -86*y - 3*t = -89*y + 13485. List the prime factors of y. 2, 281 Suppose 2*b + 691 = -3*j, -5*b + 264 = -3*j - 455. Let w = j - -431. What are the prime factors of (w/(-55))/(2/(-10))? 2, 3 Suppose -118*x + 38341 = -95*x. List the prime factors of x. 1667 Suppose 22*i - 4 = 40. Suppose 5*r = -i*n + 1501, -3*n + 5*r + 3811 = 1522. List the prime factors of n. 2, 379 Let d = -64 - -19. List the prime factors of -4 - 144/d - (-3169)/5. 3, 211 Suppose -153116 + 43012 = 2358*z - 2360*z. List the prime factors of z. 2, 13763 Suppose 181*b = 136*b + 120060. List the prime factors of b. 2, 23, 29 List the prime factors of (-56)/(-280) - 58869/(-5). 2, 7, 29 Let i(g) = -7*g**3 + 8*g**2 + 76*g + 27. List the prime factors of i(-8). 5, 19, 37 Suppose 0 = w - 2*w + 2. Let t(z) = -4*z**3 - 8*z**3 - 2*z - z**3 - 3 + z**w - 2*z. What are the prime factors of t(-2)? 113 Let c = -100872 + 145464. List the prime factors of c. 2, 3, 929 Let u(j) be the second derivative of -j**3/3 - 7*j**2 + 13*j. Let q be u(-7). Suppose z = l - 44 - 54, -2*z = q. List the prime factors of l. 2, 7 Suppose -2*q + 36524 = -2*a - 12104, 4*q - 97301 = -5*a. List the prime factors of q. 83, 293 Let q = -276 + 548. Suppose -271*f = -q*f + 162. What are the prime factors of f? 2, 3 Let q(m) = 217*m - 8. Let f(o) = -216*o + 13. Let p(s) = 2*f(s) + 3*q(s). Suppose -2 = 3*n - 5. List the prime factors of p(n). 13, 17 Let j = 40 + -337. Let x = 2537 + 363. List the prime factors of -1 + x/22 - 54/j. 131 Suppose 0 = -11*r + 7*r + 2*k + 72, -r - 5*k = -7. Suppose 12*y - r*y = -1875. List the prime factors of y. 3, 5 Suppose 20 = i + 4*i + 5*h, -h = -3*i + 4. Suppose -2*c + i = 0, 2*z = 6*c - 2*c + 1042. What are the prime factors of z? 523 Suppose 5*y = 14*w - 18*w + 36464, 5*w + 4*y = 45589. List the prime factors of w. 7, 1303 Let b(y) = y**2 - y - 1. Let s be b(-1). Suppose -s + 11 = 2*k. Suppose x + 118 = 3*x + 3*d, 0 = k*d - 20. List the prime factors of x. 53 What are the prime factors of (4038/5)/(18/30 - (-594)/(-1100))? 2, 5, 673 Let n(p) = -p**3 - 9*p**2 - 13*p + 10. Let s be n(-7). Suppose d - 169 = 5*r - 31, -s*r = 2*d - 211. List the prime factors of d. 113 Let a be (-190)/(-30) + (-4)/3. Suppose 9*r = a*r + 2428. What are the prime factors of r? 607 Let j be (-2)/(4/((-80)/(-12)) + -1). Suppose 0 = -5*u - 2*q - 7, 3*u + 0*u - j*q - 2 = 0. Let h(x) = 88*x**2 + 3*x + 1. What are the prime factors of h(u)? 2, 43 Suppose -40 = 17*p + 3*p. List the prime factors of (p - 2312/12)*(-18)/12. 2, 73 Suppose -2*x = -72 - 114. Suppose 99 + x = f. List the prime factors of f. 2, 3 Suppose -5*i - 15 = -2*i, 0 = 5*y - 3*i - 65. Let d be 0 + 0 - 105/(-3 + y). List the prime factors of (99*(-2)/5)/(6/d). 3, 11 Let b(o) = 178*o - 165. Let i(v) = 60*v - 55. Let g(z) = 6*b(z) - 17*i(z). List the prime factors of g(10). 5, 17 Let s(f) = f**3 - 6*f**2 - 10*f. Let b be ((-9)/(-6))/(5/30). Let c be s(b). Suppose 2*l - 3*l + c = 0. What are the prime factors of l? 3, 17 What are the prime factors of (2*-1)/((18/346635)/(6/(-30)))? 7703 Suppose 1 = 2*s - n, -4*s = s - 2*n - 5. Suppose s*w = -j + 6*j + 470, 5*w - 730 = -5*j. What are the prime factors of w? 2, 3, 5 Let t be ((-8)/(-2))/((-8)/764). Let z = -176 - t. Let f = -101 + z. What are the prime factors of f? 3, 5, 7 Let r = 57 - 54. Suppose 2*m - 1221 = -r*m - 3*s, 0 = 4*m + 2*s - 978. Suppose 0 = -7*x + x + m. List the prime factors of x. 41 Let t(p) = 6*p - 82. Let l be t(21). Suppose -l*x = -41*x - 324. List the prime factors of x. 2, 3 Suppose -4*k = 2*v + 3*v + 261, v + 1 = 0. Let q be k/5*(4 - 123/2). What are the prime factors of ((-3)/2)/((-12)/q)? 2, 23 Suppose 9*f = -231 - 1497. Let r = f + 440. What are the prime factors of r? 2, 31 Suppose 222*o = h + 220*o - 41391, 0 = -5*h - 5*o + 207075. List the prime factors of h. 47, 881 Suppose 2*d - d = 7. Let g(h) = 28*h + 20. List the prime factors of g(d). 2, 3 Suppose 0 = -3*t - 3, -7*t = -3*q - 9*t - 926. Let d = 536 + q. List the prime factors of d. 2, 3, 19 Let l = -353 + 357. Suppose h - 117 + 39 = -x, l*h - 313 = -3*x. What are the prime factors of h? 79 Let i(j) = 8 + j**3 - 27*j**2 - 9*j + 0*j + 20*j**2. Let k be i(8). Suppose k*c -
{ "pile_set_name": "DM Mathematics" }
n denominator of -121/1130 and 8/11. 12430 Calculate the common denominator of 97/702 and 121/78. 702 Calculate the common denominator of 11/2 and -48/17. 34 What is the smallest common multiple of 48 and 234? 1872 Find the common denominator of -62/63 and 83/4104. 28728 Calculate the common denominator of 89/1064 and 87/10. 5320 Calculate the lowest common multiple of 94 and 270. 12690 What is the lowest common multiple of 9 and 12? 36 What is the least common multiple of 183 and 24? 1464 What is the least common multiple of 272 and 48? 816 What is the common denominator of -31/500 and 43/80? 2000 Calculate the least common multiple of 64 and 76. 1216 Calculate the common denominator of -1/143 and -26/3. 429 Calculate the least common multiple of 492 and 33. 5412 What is the lowest common multiple of 52 and 286? 572 Calculate the lowest common multiple of 25 and 2070. 10350 What is the common denominator of 58/1659 and -13/7? 1659 What is the lowest common multiple of 128 and 28? 896 Calculate the least common multiple of 700 and 200. 1400 What is the smallest common multiple of 572 and 728? 8008 Calculate the common denominator of 56/99 and -8/3753. 41283 Calculate the least common multiple of 12 and 8. 24 Calculate the common denominator of 41/1002 and 43/3173. 19038 Calculate the lowest common multiple of 20 and 60. 60 What is the lowest common multiple of 4223 and 412? 16892 Calculate the common denominator of -151/24 and 109/1104. 1104 What is the smallest common multiple of 5 and 195? 195 Calculate the least common multiple of 2 and 62. 62 Calculate the smallest common multiple of 9 and 1086. 3258 Calculate the lowest common multiple of 15 and 3015. 3015 What is the common denominator of 17/7712 and 57/4820? 38560 Calculate the smallest common multiple of 36 and 273. 3276 What is the least common multiple of 49 and 18? 882 What is the smallest common multiple of 576 and 480? 2880 Find the common denominator of -71/12771 and 41/387. 12771 Find the common denominator of 15/14 and -85/966. 966 What is the lowest common multiple of 140 and 63? 1260 Calculate the least common multiple of 36 and 18. 36 Calculate the smallest common multiple of 60 and 66. 660 Calculate the lowest common multiple of 28 and 1848. 1848 Calculate the smallest common multiple of 84 and 140. 420 What is the lowest common multiple of 15444 and 312? 30888 Calculate the smallest common multiple of 6574 and 22. 72314 Calculate the smallest common multiple of 40 and 930. 3720 What is the least common multiple of 315 and 18? 630 Find the common denominator of -43/1143 and -47/8763. 26289 Calculate the smallest common multiple of 24 and 21. 168 What is the common denominator of 55/4 and 151/4608? 4608 What is the least common multiple of 82 and 278? 11398 What is the common denominator of 11/1920 and -29/30? 1920 Calculate the least common multiple of 36 and 1308. 3924 Calculate the least common multiple of 384 and 5. 1920 What is the common denominator of 85/12624 and -69/28? 88368 What is the common denominator of -53/208 and -53/2990? 23920 What is the common denominator of -26/161 and 87/184? 1288 Find the common denominator of 51/712 and 36/8099. 64792 Calculate the least common multiple of 932 and 12. 2796 What is the least common multiple of 30 and 135? 270 Calculate the lowest common multiple of 45 and 165. 495 What is the lowest common multiple of 140 and 7? 140 Calculate the lowest common multiple of 5 and 270. 270 What is the common denominator of -46/15 and -49/30? 30 Find the common denominator of -11/10 and 37/18. 90 Calculate the least common multiple of 55 and 295. 3245 Calculate the common denominator of -169/42 and 19/679. 4074 What is the common denominator of 83/30 and 7/216? 1080 What is the common denominator of -29/12 and -59/720? 720 What is the common denominator of 63/530 and 34/25? 2650 Find the common denominator of -121/24 and 47/1404. 2808 Calculate the smallest common multiple of 132 and 168. 1848 Calculate the common denominator of -23/6 and -5/306. 306 Calculate the least common multiple of 7770 and 3108. 15540 Calculate the common denominator of -57/100 and 161/900. 900 What is the common denominator of -87/4 and -51/26? 52 Calculate the common denominator of 121/10 and 28/23. 230 Calculate the smallest common multiple of 11 and 425. 4675 What is the common denominator of -1/4 and -47/3? 12 Calculate the common denominator of -48/121 and -49/1859. 20449 What is the smallest common multiple of 124 and 44? 1364 Find the common denominator of 39/6488 and 31/8. 6488 Calculate the smallest common multiple of 3213 and 595. 16065 Calculate the least common multiple of 10175 and 121. 111925 Find the common denominator of 91/202 and 39/202. 202 Find the common denominator of -47/108 and 79/9720. 9720 What is the smallest common multiple of 7 and 238? 238 Calculate the common denominator of 59/30 and -97/156. 780 Find the common denominator of 91/670 and -11/4. 1340 What is the least common multiple of 1386 and 847? 15246 What is the smallest common multiple of 506 and 2116? 23276 Calculate the lowest common multiple of 318 and 53. 318 What is the least common multiple of 8 and 312? 312 What is the common denominator of -73/24 and 32/381? 3048 Find the common denominator of -145/1344 and -169/168. 1344 What is the common denominator of -133/6 and -61/1047? 2094 What is the least common multiple of 3 and 39? 39 Calculate the least common multiple of 1507 and 1233. 13563 Find the common denominator of 83/14 and -43/18512. 129584 Find the common denominator of -32/35 and 17/35. 35 Find the common denominator of 59/1508 and 9/32. 12064 What is the common denominator of 5/2 and -151/516? 516 Find the common denominator of -145/17382 and 19/21. 121674 What is the common denominator of 71/72 and 125/24? 72 Calculate the least common multiple of 30 and 10. 30 Calculate the smallest common multiple of 487 and 974. 974 What is the smallest common multiple of 1030 and 1133? 11330 What is the common denominator of 131/1224 and 71/216? 3672 Calculate the lowest common multiple of 4485 and 1794. 8970 Calculate the lowest common multiple of 18 and 71. 1278 Find the common denominator of -35/2274 and -33/3032. 9096 Calculate the common denominator of 20/47 and -23/10. 470 What is the common denominator of 111/20 and 33/307? 6140 What is the lowest common multiple of 115 and 690? 690 Calculate the common denominator of -127/30 and 101/10. 30 Calculate the common denominator of 13/21 and -123/70. 210 What is the least common multiple of 380 and 1520? 1520 Find the common denominator of -23/6 and -31/6. 6 What is the common denominator of 81/6026 and 1/1048? 24104 Calculate the lowest common multiple of 927 and 27. 2781 Calculate the common denominator of -89/218 and 7/122. 13298 What is the smallest common multiple of 4 and 128? 128 Find the common denominator of 53/220 and 19/4780. 52580 Find the common denominator of -115/18 and 94/2295. 4590 Calculate the common denominator of 65/264 and 19/484. 2904 Calculate the common denominator of 93/100 and -23/140. 700 What is the smallest common multiple of 108 and 270? 540 Find the common denominator of 5/7 and 79/74. 518 Calculate the common denominator of 54/91 and -20/91. 91 Calculate the least common multiple of 357 and 98. 4998 Calculate the common denominator of 79/7770 and -49/10. 7770 What is the common denominator of 93/40 and 55/9? 360 Calculate the smallest common multiple of 30 and 54. 270 What is the lowest common multiple of 50 and 95? 950 What is the least common multiple of 142 and 12? 852 Calculate the common denominator of 77/18 and -87/76. 684 Calculate the least common multiple of 228 and 228. 228 Find the common denominator of 3/14 and 127/1710. 11970 Calculate the common denominator of -75/16 and -29/24. 48 Calculate the smallest common multiple of 8 and 12. 24 What is the common denominator of -53/86 and -49/10? 430 Calculate the smallest common multiple of 70 and 28. 140 Calculate the common denominator of 17/4 and -29/382. 764 What is the least common multiple of 1221 and 21? 8547 What is the lowest common multiple of 16 and 880? 880 Calculate the least common multiple of 117 and 99. 1287 Cal
{ "pile_set_name": "DM Mathematics" }
ve prob of picking 2 l. 1/55 What is prob of picking 1 k and 2 n when three letters picked without replacement from iinniinsisssnnsnknk? 14/323 What is prob of picking 1 p and 2 g when three letters picked without replacement from ggvpsvgdgpvg? 1/11 Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 3, l: 17}. 17/380 What is prob of picking 2 z when two letters picked without replacement from {z: 11, n: 1}? 5/6 Two letters picked without replacement from gggghhhhgghgggghhgg. What is prob of picking 2 g? 22/57 What is prob of picking 2 h when two letters picked without replacement from ghhgiheie? 1/12 Calculate prob of picking 3 p when three letters picked without replacement from pqqpqqpqpqpq. 1/22 Two letters picked without replacement from {c: 2, a: 1, s: 1}. What is prob of picking 1 c and 1 s? 1/3 Four letters picked without replacement from {k: 3, b: 4, j: 1, a: 3}. Give prob of picking 3 a and 1 k. 1/110 What is prob of picking 1 j and 1 z when two letters picked without replacement from eeeeerezjrjehrye? 1/60 Three letters picked without replacement from {t: 1, p: 2, g: 2, y: 1}. Give prob of picking 1 y, 1 p, and 1 g. 1/5 Calculate prob of picking 3 y and 1 x when four letters picked without replacement from ydyyyydxyydyyyddy. 33/476 Three letters picked without replacement from hrrhr. What is prob of picking 3 r? 1/10 Three letters picked without replacement from {l: 9, g: 1, h: 1, b: 1}. What is prob of picking 1 b and 2 l? 9/55 Calculate prob of picking 3 g when three letters picked without replacement from {r: 3, g: 9}. 21/55 Calculate prob of picking 1 h, 2 c, and 1 p when four letters picked without replacement from cvvkwkhwwwcwp. 1/715 Two letters picked without replacement from pbppnpbnbfbppfpnpnf. Give prob of picking 1 n and 1 b. 16/171 Two letters picked without replacement from sksutusstsmstssms. What is prob of picking 1 m and 1 u? 1/34 What is prob of picking 1 l and 1 k when two letters picked without replacement from {l: 6, q: 2, i: 3, c: 2, k: 1, h: 1}? 2/35 Three letters picked without replacement from {s: 3, g: 4}. What is prob of picking 2 s and 1 g? 12/35 Two letters picked without replacement from {v: 1, j: 3, b: 3}. Give prob of picking 1 j and 1 b. 3/7 Two letters picked without replacement from {y: 1, i: 18}. What is prob of picking 1 i and 1 y? 2/19 Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, d: 2, r: 2}. 1/15 What is prob of picking 1 d and 2 a when three letters picked without replacement from daaa? 3/4 Three letters picked without replacement from ibbkkbk. What is prob of picking 3 b? 1/35 Four letters picked without replacement from jvcjvpcvpvjvj. What is prob of picking 3 v and 1 j? 8/143 Two letters picked without replacement from llkllklpkppkppl. What is prob of picking 2 l? 1/7 Two letters picked without replacement from mmtmmmmmt. What is prob of picking 2 m? 7/12 Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {f: 2, x: 3}. 3/5 Three letters picked without replacement from {a: 2, r: 3, f: 3, o: 9}. What is prob of picking 3 r? 1/680 Calculate prob of picking 1 a, 2 e, and 1 q when four letters picked without replacement from {t: 1, e: 6, a: 1, q: 8}. 6/91 Two letters picked without replacement from diiiidddiddi. What is prob of picking 2 d? 5/22 Four letters picked without replacement from {y: 4, l: 4, c: 1, n: 3, p: 2}. Give prob of picking 1 p, 1 n, 1 l, and 1 y. 96/1001 Calculate prob of picking 2 o and 2 i when four letters picked without replacement from oiioii. 2/5 What is prob of picking 1 d and 1 p when two letters picked without replacement from dkp? 1/3 Three letters picked without replacement from {b: 11, s: 5}. What is prob of picking 3 s? 1/56 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {d: 6, t: 3, v: 1, k: 4, u: 2}. 1/10 What is prob of picking 1 z and 1 s when two letters picked without replacement from yzgzmgcszmg? 3/55 Calculate prob of picking 2 s when two letters picked without replacement from yyyfyysoyssyyoyoyyf. 1/57 Calculate prob of picking 1 p and 3 e when four letters picked without replacement from bbrzeerreebrep. 10/1001 Four letters picked without replacement from {h: 5, o: 7, q: 2, j: 4}. What is prob of picking 1 q, 1 j, and 2 h? 4/153 Four letters picked without replacement from ggbfbqggfggqfgfqg. Give prob of picking 2 b and 2 f. 3/1190 What is prob of picking 1 o, 2 k, and 1 l when four letters picked without replacement from koorkzlkkouo? 8/165 Two letters picked without replacement from jdjdffddddjfdjdf. What is prob of picking 1 f and 1 j? 2/15 Calculate prob of picking 1 q, 2 e, and 1 t when four letters picked without replacement from qtekekeetqqkqqkkkkk. 5/323 What is prob of picking 2 o when two letters picked without replacement from ookkmkakokkok? 1/13 Calculate prob of picking 1 u, 1 h, and 1 n when three letters picked without replacement from hhnnsununnshnhsnwun. 32/323 Calculate prob of picking 2 j and 2 e when four letters picked without replacement from gjihjjettegt. 1/165 Calculate prob of picking 2 c and 1 a when three letters picked without replacement from {y: 6, a: 2, z: 4, c: 2, r: 3}. 1/340 Four letters picked without replacement from wwycgwyyvwggywwygy. Give prob of picking 1 g, 1 w, 1 y, and 1 c. 4/85 Calculate prob of picking 1 m and 2 v when three letters picked without replacement from {v: 3, m: 15}. 15/272 Calculate prob of picking 2 r and 1 i when three letters picked without replacement from irrrfiiifrrri. 75/286 What is prob of picking 2 z and 2 w when four letters picked without replacement from {h: 6, x: 1, m: 3, p: 4, w: 1, z: 3}? 0 What is prob of picking 3 e when three letters picked without replacement from {d: 5, e: 4, k: 6}? 4/455 Two letters picked without replacement from {g: 2, r: 2, a: 2, o: 1, i: 1}. Give prob of picking 2 g. 1/28 Four letters picked without replacement from vllsunv. What is prob of picking 1 v, 2 s, and 1 u? 0 Calculate prob of picking 2 j when two letters picked without replacement from mjmjmjm. 1/7 Four letters picked without replacement from eggygggyyeygyyegye. What is prob of picking 2 y and 2 g? 49/340 Two letters picked without replacement from sksfssssfssjssswsw. What is prob of picking 2 w? 1/153 Four letters picked without replacement from {k: 15, j: 4}. What is prob of picking 4 j? 1/3876 Four letters picked without replacement from ytyywzz. What is prob of picking 3 y and 1 w? 1/35 Calculate prob of picking 2 a when two letters picked without replacement from {a: 5, u: 2, z: 7, b: 4}. 10/153 Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {r: 3, f: 17}. 17/380 Calculate prob of picking 3 b and 1 z when four letters picked without replacement from {z: 11, b: 5}. 11/182 Four letters picked without replacement from ndeneyyyen. Give prob of picking 1 e and 3 n. 1/70 What is prob of picking 1 t and 1 g when two letters picked without replacement from nngggtggnng? 6/55 Four letters picked without replacement from jmmmmmwwzzmwjwzmwjz. Give prob of picking 3 m and 1 w. 175/3876 Two letters picked without replacement from dpddpdpdddp. Give prob of picking 2 p. 6/55 Four letters picked without replacement from bbwbbwbbww. Give prob of picking 3 w and 1 b. 4/35 What is prob of picking 2 j when two letters picked without replacement from qjjffjfjfqfjjjjqjff? 4/19 What is prob of picking 1 n and 1 o when two letters picked without replacement from {o: 6, f: 1, d: 4, l: 2, n: 4}? 3/17 Three letters picked without replacement from {b: 3, s: 2, q: 5}. What is prob of picking 3 q? 1/12 What is prob of picking 2 l and 1 z when three letters picked without replacement from {r: 3, z: 1, e: 4, l: 3}? 1/55 What is prob of picking 1 z and 3 h when four letters picked without replacement from whwhzhk? 1/35 Three letters picked without replacement from kidqdvvkinkk. What is prob of picking 1 k, 1 d, and 1 q? 2/55 What is prob of picking 1 h and 1 f when two letters picked without replacement from {i: 1, h: 1, q: 8, v: 1, f: 1}? 1/66 Calculate prob of picking 1 v and 2 z when three letters picked without replace
{ "pile_set_name": "DM Mathematics" }
derivative of -h**7/735 + h**6/28 - 13*h**5/70 + 37*h**4/84 - 4*h**3/7 + 184*h**2 - h. Factor f(c). -2*(c - 12)*(c - 1)**3/7 Suppose -2*x + 37 = 2*x - 5*c, -4*c = -5*x + 44. Suppose -v = -5*v + x. Factor -8*a + 8*a**3 + 8*a**2 - 8*a**4 - 4*a**v - 11*a**4 + 15*a**4. -4*a*(a - 2)*(a - 1)*(a + 1) Let n(a) be the second derivative of -12 - 3/20*a**5 + 9/4*a**4 - 13*a**3 + 14*a + 36*a**2. Factor n(o). -3*(o - 4)*(o - 3)*(o - 2) Suppose o + 8 = -14*a + 18*a, 2*a = -2*o + 14. Factor 12/11*v**3 + 2/11*v**o - 12/11*v - 2/11*v**2 + 0. 2*v*(v - 1)*(v + 1)*(v + 6)/11 Let u(g) be the second derivative of -511*g**4/3 - 10*g**3/3 + 547*g + 6. Determine j, given that u(j) = 0. -5/511, 0 Suppose 135 = 26*i + 5. Let s be 4/(-14) + (i/(-7) - -4). What is g in -4/13*g**2 - 2/13*g**s - 8/13 + 14/13*g = 0? -4, 1 Let u(q) = 885*q + 25667. Let b be u(-29). Factor -49/11*d - 23/11*d**b - 25/11 + 1/11*d**3. (d - 25)*(d + 1)**2/11 Let s be ((30*5)/(1/9))/1. Let o**5 - 12*o**2 + s*o**4 - 1341*o**4 + 2*o**5 = 0. Calculate o. -2, 0, 1 Let c(l) be the second derivative of 1/5*l**5 + 48*l**3 + 107*l + 0 + 5*l**4 + 216*l**2. Factor c(t). 4*(t + 3)*(t + 6)**2 Let n = -944041/3 + 314681. Factor 0 + 2/3*k**3 - n*k + 0*k**2. 2*k*(k - 1)*(k + 1)/3 Let t(n) be the first derivative of -n**4/30 + 50*n**3/9 - 3712*n**2/15 - 8192*n/5 + 601. Find j such that t(j) = 0. -3, 64 Let w(o) be the third derivative of -4/3*o**3 - o**2 + 67*o + 0 - 1/5*o**5 - 25/12*o**4. Factor w(d). -2*(d + 4)*(6*d + 1) Let x(t) be the first derivative of t**5/240 - t**4/12 - 101*t**2 - 231. Let v(o) be the second derivative of x(o). Factor v(u). u*(u - 8)/4 Let q be (-57)/18 - 3*2/(-36). Let l(f) = -3*f**3 - f**2 + 1. Let k(d) = -30*d**3 + 171*d**2 - 195*d + 45. Let h(x) = q*l(x) + k(x). Factor h(j). -3*(j - 7)*(j - 1)*(7*j - 2) Let h(r) = 14*r**3 - r**2 - 8*r + 13. Let p be h(2). Let x = p + -103. Factor 24 + x*y**2 - 15 - 12*y + 7. 2*(y - 4)*(y - 2) Suppose 0 = -3*t - 2*x - 9, -2*t + 3766 = 2*x + 3778. Factor 1/11*y**t + 2/11*y**2 - 6/11 - 5/11*y. (y - 2)*(y + 1)*(y + 3)/11 Suppose -77*b**2 + 3190*b**4 - 3*b**3 + 72*b**2 - 3188*b**4 = 0. What is b? -1, 0, 5/2 Let z be 9/18*-2*91. Let q = z - -95. What is w in 0 - 2/3*w**3 + 0*w - 2/9*w**q + 0*w**2 = 0? -3, 0 Let i(m) = 52*m**4 - 28*m**3 - 84*m**2 + 12*m + 16. Let f(t) = 49*t**4 - 27*t**3 - 80*t**2 + 12*t + 16. Let p(o) = -16*f(o) + 15*i(o). Solve p(q) = 0. -1, 1, 4 Let p(w) be the third derivative of w**7/350 - 7*w**6/200 + w**5/10 - 64*w**2 + 2*w. Solve p(o) = 0 for o. 0, 2, 5 Let y(l) = 10*l - 7*l + 30 + 5*l - 2. Let v be y(-3). What is r in v*r**3 + 5 + 6*r**3 - 13*r + 3*r - 5*r**4 + 0*r = 0? -1, 1 Let q(p) be the first derivative of -p**6/90 - 11*p**5/5 - 363*p**4/2 + 3*p**3 + 2*p**2 - 247. Let m(t) be the third derivative of q(t). Factor m(s). -4*(s + 33)**2 Let h(y) be the second derivative of y**4/90 - 74*y**3/45 + 1333*y**2/15 - 8925*y. Factor h(f). 2*(f - 43)*(f - 31)/15 Factor 1352*x - 77285 + x**2 + 446616 + 87645. (x + 676)**2 Let z(r) = r**2 - 1. Let d(k) = -18*k**2 + 80*k + 113. Let m(h) = 9*h**2 - 39*h - 57. Let q(v) = -3*d(v) - 5*m(v). Let i(x) = -q(x) + 12*z(x). Factor i(l). 3*(l + 1)*(l + 14) Suppose 1218 + 217 = -7*i. Let q = 1027/5 + i. Factor -q*a**4 - 2/5*a**3 + 2/5*a**2 + 2/5*a + 0. -2*a*(a - 1)*(a + 1)**2/5 Let s(a) be the third derivative of a**8/672 + a**7/60 - 7*a**6/80 - 9*a**5/40 + 50*a**2 + 9. Suppose s(x) = 0. Calculate x. -9, -1, 0, 3 Let x = -12514/3523 + 1046/271. What is u in x + 2/13*u - 2/13*u**2 = 0? -1, 2 Let b = 200 + -197. Factor -10*i**b + 175*i**2 - 6*i**3 + i**3 - 60*i - 75*i**2. -5*i*(i - 6)*(3*i - 2) Factor 5292 + 66*z**2 - 1575*z - 3/4*z**3. -3*(z - 42)**2*(z - 4)/4 Let i(w) be the first derivative of 2*w**3/27 - 368*w**2/3 + 67712*w - 929. Factor i(v). 2*(v - 552)**2/9 Let v(j) be the second derivative of 0*j**2 + 102*j + 3/2*j**6 + 11/4*j**5 + 0 - 65/3*j**4 - 10*j**3. Factor v(d). 5*d*(d - 2)*(d + 3)*(9*d + 2) Let q(o) be the third derivative of o**5/75 + o**4/10 - 36*o**3 - 10*o**2 - 56. Factor q(t). 4*(t - 15)*(t + 18)/5 Let x be (2/3)/(2/9). Let f be (-4)/x - 90/(-27). Determine c so that 105*c**f - 3*c - 202*c**2 + 100*c**2 = 0. 0, 1 Suppose -899 - 941 = -8*n. Suppose 228*y + 4 = n*y. Factor 9*x - 3/4*x**y - 27. -3*(x - 6)**2/4 Let o(t) = 38*t**3 - 1314*t**2 - 312*t - 88. Let m(p) = -25*p**3 + 876*p**2 + 206*p + 55. Let s(r) = -8*m(r) - 5*o(r). Let s(v) = 0. What is v? -1/5, 0, 44 Let p be ((-32)/(-408))/((-878)/(-22389)). Solve -5/7*o**5 - 9/7*o**3 + 2/7*o**p + 12/7*o**4 + 0 + 0*o = 0 for o. 0, 2/5, 1 Determine d so that -69*d**4 - 67*d**4 - 201*d - 64*d**4 + 42 + 197*d**4 + 21*d**3 + 66 + 75*d**2 = 0. -4, 1, 9 Let s(y) be the first derivative of 2*y**3/27 + 248*y**2/9 + 366. Factor s(r). 2*r*(r + 248)/9 Let z = -9/57844 - -4511985/983348. Determine x so that -80/17 + 2/17*x**2 - z*x = 0. -1, 40 Let c = -10/1219 + 1399/21942. Let o(j) be the second derivative of 1/6*j**2 + 0 - 1/60*j**5 + 19*j - 1/36*j**4 + c*j**3. Factor o(a). -(a - 1)*(a + 1)**2/3 Let o(n) be the third derivative of -25*n**3 - 1/180*n**6 - 31/90*n**5 - 85/12*n**4 + 0 + 54*n**2 + 0*n. Suppose o(v) = 0. What is v? -15, -1 Let t(c) be the second derivative of -96*c**5/5 + 88*c**4/5 - 29*c**3/5 + 9*c**2/10 + 810*c. Factor t(k). -3*(8*k - 1)**2*(10*k - 3)/5 Let q = 31 + -35. Let d be 14 + 6/(8/q). Determine m so that -25*m - 5*m**2 + 14*m + 15*m + d*m = 0. 0, 3 Let f(u) be the third derivative of 2*u**5/15 + 15*u**4/8 + 25*u**3/6 + 482*u**2. Find l such that f(l) = 0. -5, -5/8 Let g(l) = 2*l**3 + 39*l**2 - 35*l - 72. Let q(f) = -f**3 - 39*f**2 + 34*f + 72. Let w(d) = 4*g(d) + 5*q(d). Determine h, given that w(h) = 0. -1, 2, 12 Let q(o) be the second derivative of -o**5/20 - 9*o**4/8 - 10*o**3 - 105*o**2/2 + 12*o + 2. Let g(b) be the first derivative of q(b). Factor g(n). -3*(n + 4)*(n + 5) Let z(g) = -5*g**3 - 82*g**2 + 239*g + 3199. Let x be z(-17). Find y such that -2/3*y**x - 130/3*y - 16*y**2 - 28 = 0. -21, -2, -1 Let 226*t - 125/2*t**2 - 107/2*t**4 - 7/2*t**5 + 66 - 345/2*t**3 = 0. What is t? -11, -3, -2, -2/7, 1 Factor f**2 - 1248*f - 4*f**2 + 326*f + 592*f. -3*f*(f + 110) Factor -608/7*m**3 - 2/7*m**5 + 0*m**2 + 44*m**4 + 0*m + 0. -2*m**3*(m - 152)*(m - 2)/7 Let g(r) be the first derivative of -r**4/10 - 4*r**3/3 + 71*r**2/5 - 24*r + 706. Factor g(c). -2*(c - 4)*(c - 1)*(c + 15)/5 Determine a so that 103/4*a**2 - 1/4*a**4 - 343/4*a + 7/4*a**3 + 117/2 = 0. -9, 1, 2, 13 Let k(w) be the first derivative of 1/9*w**4 - 1 + 2/9*w**3 - 1/15*w**5 - 7*w - 2/3*w**2. Let i(u) be the first derivative of k(u). Factor i(q). -4*(q - 1)**2*(q + 1)/3 Let t(j) be the third derivative of -7 + 121/8*j**3 - 2*j**2 + 0*j + 11/16*j**4 + 1/80*j**5. Factor t(z). 3*(z + 11)**2/4 Let c(u) = -36*u**2 + 630*u - 6636. Let l(t) = -40*t + 7*t**2 + 104*t - 190*t + 1327. Let v(g) = 4*c(g) + 21*l(g). Solve v(p) = 0 for p. 21 Let a(g) be the first derivative of -1/12*g**4 + 59 + 1/2*g**2 + 2/3*g + 0*g**3. Factor a(z). -(z - 2)*(z + 1)**2/3 Let m(o) be the second derivative of 60*o**2 + 4 + 1/90*o**4 - 3*o - 4/3*o**3. Find t such that m(t) = 0. 30 Let q(b) = 5*b**2 - 45640*b - 12920. Let d(w) = -2*w**2 + 3*w - 5. Let m(t) = -20*d(t) - q(t). Factor m(l). 5*(l + 1302)*(7*l + 2) Let g = 7247/1230 - 121/246. Let -3/5*f**4 + g - 18/5*f + 18/5*f**3 - 24/5*f**2 = 0. Calculate f. -1, 1, 3 Let j(w) be the first derivative of 1/6*w**4 - 11*w + 23/21*w**3 + 8 + 6/7*w**2. Let q(z) be the first derivative of j(z). Determine u so that q(u) = 0. -3, -2/7 Let c(y) = -y**5 + y**3 - 2*y**2 + y - 2. Let k(z) = 9*z**5 - 60*z**4 + 195*z**3 + 10*z**2 - 5*z + 10. Let i(t) = -5*c(t) - k(t). Factor i(w). -4*w**3*(w - 10)*(w - 5) Let r be -1075*44/(-16500) + 14/105. Factor -11/3*y**2 + 12*y - 12 + 1/3*y**r. (y - 6)*(y - 3)*(y - 2)/3 Let s(d) be the first derivative of -d**5/60 - 7*d**4/24 - d**3 - 26*d**2 - 48. Let x(f) be the second derivative of s(f). Let x(c) = 0. What is c? -6, -1 Let v be (16 - 17) + 2*-27. Let k = v - -56. Factor -6*m**5 + 2*m**2 - 6*m**2 - 1 + 6*m**4 - 6*m + 4*m**3 - k + 8*m**5. 2*(m - 1)*(m + 1)**4 Let j(t) = t**3 + 14*t**2 - 24*t - 57. Let a be j(-15). Suppose -25*n = -a*n + 53. Find i such that n + 3/10*i - 1/10*i**2 = 0. -2, 5 Let w be (-104)/117 + 2848/288 - (-66
{ "pile_set_name": "DM Mathematics" }
136 minutes before 1:39 PM? 11:23 AM What is 115 minutes before 1:40 AM? 11:45 PM What is 504 minutes before 11:16 AM? 2:52 AM How many minutes are there between 12:06 AM and 7:06 AM? 420 How many minutes are there between 8:01 PM and 9:45 PM? 104 What is 429 minutes after 2:39 AM? 9:48 AM What is 707 minutes before 5:21 PM? 5:34 AM What is 2 minutes before 9:35 PM? 9:33 PM What is 158 minutes before 10:14 PM? 7:36 PM What is 158 minutes after 1:57 AM? 4:35 AM How many minutes are there between 5:57 PM and 2:07 AM? 490 How many minutes are there between 10:43 PM and 3:26 AM? 283 What is 121 minutes before 8:05 AM? 6:04 AM How many minutes are there between 12:46 AM and 9:44 AM? 538 What is 53 minutes after 6:17 AM? 7:10 AM What is 128 minutes after 5:00 AM? 7:08 AM What is 171 minutes after 10:08 PM? 12:59 AM How many minutes are there between 5:30 PM and 7:27 PM? 117 How many minutes are there between 10:22 AM and 9:03 PM? 641 What is 639 minutes after 7:32 PM? 6:11 AM What is 38 minutes before 2:09 AM? 1:31 AM What is 385 minutes before 10:14 PM? 3:49 PM What is 661 minutes before 9:17 PM? 10:16 AM What is 394 minutes before 3:16 AM? 8:42 PM How many minutes are there between 7:12 PM and 7:52 PM? 40 What is 439 minutes after 8:23 AM? 3:42 PM How many minutes are there between 7:48 PM and 1:42 AM? 354 What is 472 minutes after 3:54 AM? 11:46 AM How many minutes are there between 2:46 AM and 12:02 PM? 556 What is 374 minutes before 10:33 AM? 4:19 AM What is 289 minutes after 10:25 AM? 3:14 PM What is 624 minutes before 4:32 AM? 6:08 PM How many minutes are there between 1:46 AM and 2:28 AM? 42 What is 394 minutes after 2:31 PM? 9:05 PM What is 25 minutes after 1:48 PM? 2:13 PM How many minutes are there between 10:04 PM and 2:10 AM? 246 How many minutes are there between 6:52 AM and 9:20 AM? 148 How many minutes are there between 11:41 PM and 6:49 AM? 428 What is 19 minutes after 4:39 PM? 4:58 PM What is 211 minutes before 12:49 AM? 9:18 PM What is 77 minutes after 2:28 AM? 3:45 AM How many minutes are there between 8:28 AM and 7:56 PM? 688 How many minutes are there between 4:48 AM and 8:11 AM? 203 How many minutes are there between 5:18 AM and 11:24 AM? 366 How many minutes are there between 6:09 AM and 3:55 PM? 586 What is 423 minutes after 10:10 AM? 5:13 PM What is 508 minutes before 4:03 PM? 7:35 AM How many minutes are there between 4:39 PM and 3:40 AM? 661 How many minutes are there between 4:49 PM and 11:59 PM? 430 What is 170 minutes before 6:05 PM? 3:15 PM How many minutes are there between 6:54 PM and 6:13 AM? 679 What is 624 minutes before 7:27 PM? 9:03 AM What is 482 minutes after 6:51 PM? 2:53 AM How many minutes are there between 9:40 PM and 2:40 AM? 300 What is 429 minutes after 10:40 AM? 5:49 PM What is 639 minutes before 1:57 AM? 3:18 PM How many minutes are there between 9:32 AM and 9:11 PM? 699 What is 353 minutes before 4:36 AM? 10:43 PM What is 12 minutes before 3:29 AM? 3:17 AM What is 586 minutes after 7:16 AM? 5:02 PM How many minutes are there between 6:15 AM and 11:10 AM? 295 How many minutes are there between 10:33 PM and 1:25 AM? 172 How many minutes are there between 1:34 PM and 12:56 AM? 682 What is 445 minutes before 1:30 AM? 6:05 PM How many minutes are there between 7:43 AM and 8:18 AM? 35 What is 670 minutes before 8:53 AM? 9:43 PM How many minutes are there between 11:29 AM and 6:55 PM? 446 How many minutes are there between 6:33 AM and 6:39 AM? 6 What is 503 minutes before 2:23 PM? 6:00 AM How many minutes are there between 10:16 PM and 11:57 PM? 101 What is 82 minutes before 11:36 PM? 10:14 PM How many minutes are there between 10:54 AM and 8:43 PM? 589 What is 592 minutes before 9:55 AM? 12:03 AM How many minutes are there between 11:18 PM and 8:48 AM? 570 What is 703 minutes before 5:29 PM? 5:46 AM How many minutes are there between 4:27 PM and 1:33 AM? 546 How many minutes are there between 12:26 AM and 7:51 AM? 445 What is 96 minutes after 9:29 AM? 11:05 AM What is 172 minutes after 4:43 AM? 7:35 AM How many minutes are there between 11:39 AM and 8:04 PM? 505 How many minutes are there between 10:08 PM and 8:18 AM? 610 How many minutes are there between 9:13 PM and 9:17 PM? 4 How many minutes are there between 7:50 AM and 10:26 AM? 156 What is 195 minutes after 7:22 PM? 10:37 PM How many minutes are there between 8:08 AM and 11:04 AM? 176 What is 274 minutes after 7:39 AM? 12:13 PM What is 240 minutes after 5:01 PM? 9:01 PM What is 677 minutes before 7:38 AM? 8:21 PM What is 10 minutes after 5:49 AM? 5:59 AM How many minutes are there between 3:27 PM and 10:25 PM? 418 How many minutes are there between 7:19 PM and 1:59 AM? 400 How many minutes are there between 2:42 AM and 8:10 AM? 328 What is 557 minutes after 9:26 PM? 6:43 AM How many minutes are there between 1:38 AM and 4:11 AM? 153 How many minutes are there between 9:09 AM and 1:23 PM? 254 What is 82 minutes before 5:43 PM? 4:21 PM What is 59 minutes after 9:15 AM? 10:14 AM How many minutes are there between 2:38 AM and 5:02 AM? 144 What is 207 minutes after 7:24 AM? 10:51 AM How many minutes are there between 12:56 AM and 4:10 AM? 194 How many minutes are there between 6:15 PM and 2:15 AM? 480 How many minutes are there between 12:48 PM and 5:27 PM? 279 How many minutes are there between 4:39 PM and 2:59 AM? 620 How many minutes are there between 11:32 AM and 1:39 PM? 127 What is 97 minutes before 5:31 PM? 3:54 PM What is 191 minutes before 11:33 AM? 8:22 AM How many minutes are there between 11:06 PM and 10:07 AM? 661 What is 344 minutes before 12:27 PM? 6:43 AM How many minutes are there between 7:44 PM and 8:36 PM? 52 What is 715 minutes before 4:13 PM? 4:18 AM What is 160 minutes after 7:47 PM? 10:27 PM What is 165 minutes after 9:59 PM? 12:44 AM What is 599 minutes before 8:48 AM? 10:49 PM How many minutes are there between 3:15 PM and 11:52 PM? 517 What is 558 minutes after 3:52 AM? 1:10 PM How many minutes are there between 1:27 PM and 1:39 PM? 12 How many minutes are there between 6:53 AM and 1:47 PM? 414 How many minutes are there between 10:13 PM and 6:03 AM? 470 What is 610 minutes after 6:22 PM? 4:32 AM How many minutes are there between 11:33 PM and 2:39 AM? 186 What is 628 minutes after 10:51 PM? 9:19 AM How many minutes are there between 2:51 PM and 1:55 AM? 664 How many minutes are there between 5:11 PM and 7:33 PM? 142 What is 127 minutes after 12:13 PM? 2:20 PM What is 56 minutes before 5:46 PM? 4:50 PM What is 296 minutes after 7:29 PM? 12:25 AM How many minutes are there between 8:00 PM and 4:12 AM? 492 How many minutes are there between 8:53 AM and 10:09 AM? 76 What is 524 minutes before 7:42 AM? 10:58 PM How many minutes are there between 3:09 PM and 11:30 PM? 501 How many minutes are there between 3:20 PM and 8:25 PM? 305 What is 388 minutes before 2:13 PM? 7:45 AM What is 634 minutes before 10:16 PM? 11:42 AM How many minutes are there between 7:00 AM and 10:01 AM? 181 How many minutes are there between 3:25 AM and 2:11 PM? 646 What is 35 minutes after 3:39 AM? 4:14 AM What is 488 minutes before 10:21 PM? 2:13 PM What is 432 minutes before 10:25 AM? 3:13 AM How many minutes are there between 2:06 PM and 2:05 AM? 719 How many minutes are there between 6:46 PM and 1:11 AM? 385 What is 172 minutes after 2:54 PM? 5:46 PM What is 675 minutes after 6:23 AM? 5:38 PM How many minutes are there between 6:12 AM and 4:08 PM? 596 How many minutes are there between 1:40 PM and 2:28 PM? 48 How many minutes are there between 12:28 AM and 7:52 AM? 444 How many minutes are there between 2:05 AM and 3:27 AM? 82 What is 145 minutes before 12:07 AM? 9:42 PM How many minutes are there between 5:40 PM and 8:45 PM? 185 What is 490 minutes after 4:31 PM? 12:41 AM What is 204 minutes after 12:16 PM? 3:40 PM What is 612 minutes before 12:04 PM? 1:52 AM How many minutes are there between 2:55 AM and 12:04 PM? 549 What is 89 minutes before 10:54 PM? 9:25 PM How many minutes are there between 12:21 AM and 8:07 AM? 466 What is 236 minutes after 10:28 AM? 2:24 PM How many minutes are there between 5:07 PM and 8:12 PM? 185 How many minutes are there between 2:39 AM and 2:26 PM? 707 How many minutes are there between 7:57 PM and 11:55 PM? 238 What
{ "pile_set_name": "DM Mathematics" }
114 or -67? -67 Is -1 >= -7125? True Does 12/295 = -1? False Does -26 = 394? False Which is greater: -5229 or -5230? -5229 Which is smaller: -2386 or -2387? -2387 Is -9160/9 >= -1018? True Is 850 > -7? True Which is smaller: -159 or -160? -160 Is -58 greater than -61? True Which is greater: -1 or -3/1490? -3/1490 Is -159 < -160? False Which is bigger: 1 or -10780? 1 Is 5/1676 > 0.1? False Which is smaller: -169 or -2039/12? -2039/12 Is 13240 at least -1? True Which is greater: 34 or 64? 64 Which is greater: -1/25801 or 1? 1 Which is greater: -9 or -1? -1 Is -2/5 > -282? True Which is greater: 2 or -0.215? 2 Are 6 and 961 equal? False Which is bigger: 1775 or 1? 1775 Do 72 and 717/10 have the same value? False Is 10/219 <= -1? False Does -2/345 = -1? False Which is smaller: 1017 or 1011? 1011 Which is smaller: 4/1779 or 0? 0 Which is smaller: -0.2 or 4135? -0.2 Which is bigger: -37/9 or -5? -37/9 Which is smaller: -2 or -1166? -1166 Which is bigger: 57 or 0.002? 57 Which is bigger: 228 or 0.05? 228 Do -77 and -0.1 have the same value? False Which is smaller: 3/92 or -1? -1 Is -4 bigger than -14/5? False Are 0 and 1/62 equal? False Which is bigger: -1 or 2/1999? 2/1999 Is 1 != 35/41? True Which is smaller: -2 or 5? -2 Are -28/29 and 0 non-equal? True Is -438 at least as big as -0.55? False Which is greater: 0.051 or 1? 1 Which is smaller: -123 or 2? -123 Which is smaller: 6 or 19/4? 19/4 Is 0.4 > 1558/9? False Which is bigger: 431 or 4299/10? 431 Is 8096 equal to 8096? True Which is bigger: -560/9 or -63? -560/9 Which is bigger: 558 or 555? 558 Is 0 bigger than -2/79? True Which is bigger: -20 or -390/19? -20 Is 1/107578 at most as big as 0? False Are -222 and -215 unequal? True Is -739 <= -739? True Is 1 at most -3733? False Are 6 and -1/14 unequal? True Which is bigger: 1 or 5/236? 1 Which is smaller: -77/10 or -9? -9 Is -1/3237 < 1? True Which is greater: -435 or -425? -425 Do -13 and -60 have the same value? False Which is smaller: -4/3529 or -1? -1 Is 0 bigger than 2/5233? False Which is bigger: 10 or 683? 683 Which is bigger: -103 or -938/9? -103 Which is smaller: 2374 or 2373? 2373 Is 38/61 <= 0? False Which is smaller: -13317 or -13318? -13318 Is -47 equal to -12? False Which is smaller: 1 or -153/20? -153/20 Are -0.6 and 4 nonequal? True Which is greater: -1 or -31/45? -31/45 Do 1 and -16827 have different values? True Are 17/67 and -1 equal? False Which is greater: -73 or -1217/17? -1217/17 Is 22.1 at least as big as -0.37? True Do 5/6 and 12/13 have the same value? False Which is smaller: 1 or -4/9? -4/9 Is 3 at least 2723? False Which is smaller: 28 or 2? 2 Is -16693 > -16693? False Are 2/7341 and -1 equal? False Which is greater: 1 or 186/5? 186/5 Which is greater: -18755 or -18757? -18755 Is -2/211 less than or equal to 1? True Is 162 <= 161? False Is -1 greater than or equal to -184? True Which is smaller: 92 or 93? 92 Does 4 = 60/13? False Is 5391 less than or equal to 5392? True Which is smaller: 8.2 or 0? 0 Which is smaller: 1 or 8/1079? 8/1079 Is 0.1 less than or equal to -292? False Which is bigger: -3/8287 or -1? -3/8287 Is -517 > -509? False Which is smaller: 31/4 or 7? 7 Which is smaller: 187/18 or 11? 187/18 Which is smaller: 1/5 or -1? -1 Which is bigger: 1 or 14? 14 Which is smaller: -86 or -271? -271 Which is bigger: -31 or -1531/50? -1531/50 Which is smaller: 0 or 3/1922? 0 Do 3894 and 3898 have the same value? False Is 1/2293 smaller than 0? False Which is bigger: 21/1882 or 0? 21/1882 Is 0.72 smaller than 5? True Is -37 smaller than -37? False Which is bigger: 1 or 2310? 2310 Which is greater: -3 or 27? 27 Is -7/45 <= -1? False Is 86 not equal to 84? True Does 25 = 25? True Do -194 and -194 have different values? False Is -2/7323 bigger than 0? False Is 0 equal to 45/382? False Which is smaller: 1 or -2/6973? -2/6973 Which is smaller: 4/4501 or 0? 0 Are 472 and 472 nonequal? False Which is bigger: 18/337 or -1? 18/337 Is 118 >= -1/2? True Is 3 at least 451? False Is 1437 > 1437? False Is -3333 at most as big as -3333? True Which is smaller: 1/4 or -195? -195 Is 131 greater than or equal to -46? True Which is bigger: -1/18319 or 1? 1 Are -28 and 8 unequal? True Which is greater: -0.06 or 13? 13 Which is bigger: -50 or -47? -47 Which is bigger: -38 or -36? -36 Is -2473 != 0? True Does -9.17 = -0.1? False Which is bigger: 1 or 46/59? 1 Is 462 smaller than 474? True Which is smaller: 955 or 954? 954 Is -24247 != -24247? False Which is smaller: 1 or -10/12753? -10/12753 Which is smaller: -68 or 2/11? -68 Is -1 bigger than 121.8? False Is 232 equal to 231? False Are 32/37 and -4 unequal? True Is 1 bigger than 2/19267? True Do -148 and -152 have the same value? False Is -2469 less than or equal to -2468? True Which is smaller: 82/39 or 2? 2 Is -3785 bigger than -3782? False Is 13/49 not equal to -1? True Which is greater: -0.6 or 87? 87 Is 35/3 greater than or equal to 13? False Is -1459 greater than -1459? False Are -11/31 and 0 non-equal? True Which is greater: 1 or 3/9326? 1 Which is bigger: -0.1 or 5064? 5064 Which is smaller: 91/4 or 23? 91/4 Are -393 and -1/2 equal? False Which is greater: -117 or -0.004? -0.004 Which is smaller: -322/9 or -37? -37 Is -2/7767 at most 1? True Is -8/785 at least -1? True Does -2/177 = -1? False Is 0.043 not equal to 38? True Which is smaller: -2678 or -2679? -2679 Which is greater: -1/4 or 5/12882? 5/12882 Which is greater: 1 or -38/429? 1 Is -247 equal to -266? False Which is greater: 582 or 0.1? 582 Is 4 at most 122/47? False Is 1/1746 less than 0? False Which is bigger: 5508 or 5509? 5509 Are 3 and -91 equal? False Which is smaller: -29 or -40? -40 Which is bigger: -85 or -80? -80 Which is bigger: 8 or -1/18? 8 Which is smaller: 5 or 290? 5 Is -0.6 less than -8? False Which is smaller: 1011 or 1010? 1010 Which is bigger: -28 or -78? -28 Which is greater: 1933 or 7733/4? 7733/4 Is -13 bigger than -7? False Which is smaller: 31/23 or 0? 0 Which is smaller: -0.5 or -6871? -6871 Is -265 equal to -264? False Which is smaller: 9 or -8/3? -8/3 Does -1 = 2/4089? False Is -2/15093 not equal to 0? True Is 1 >= -3/674? True Is 1/16372 not equal to -1? True Which is smaller: -26 or -14? -26 Which is smaller: -27 or 100? -27 Does 0.025 = -40? False Which is smaller: -0.2 or -287? -287 Is -148/123 greater than or equal to -2? True Do 889 and -10 have the same value? False Which is smaller: 0 or -250/219? -250/219 Which is smaller: -1 or 6/5791? -1 Is 10 at most -5? False Which is greater: 30/19 or 1? 30/19 Do -0.2 and 848.1 have the same value? False Which is smaller: -4/441 or 1? -4/441 Is 347 less than 354? True Is 0 < -88/277? False Which is smaller: -24/599 or 1? -24/599 Is 187 greater than or equal to 184? True Which is bigger: 0 or 3/334? 3/334 Which is bigger: 84/947 or 0? 84/947 Which is bigger: 26 or 2.1? 26 Which is smaller: 1 or 27/26? 1 Is 50 >= 50? True Which is smaller: 22 or 16? 16 Which is greater: 694 or 687? 694 Is -2 equal to -118/39? False Which is smaller: 0 or -1/27547? -1/27547 Is 69 less than or equal to 69? True Is 12/185 not equal to 0? True Is -4013 greater than -1? False Is 220 at most as big as 879/4? False Is -22739 < -22739? False Is -2/4499 at most 0? True Are -468 and -3273/7 non-equal? True Does 0 = -1/1265? False Is 1/4 greater than 725? False Is 36 not equal to 32? True Do -346 and -350 have different values? True Which is smaller: -2/5 or 913? -2/5 Is 99.7 not equal to 0.2? True Does -58 = 3/2? False Is -2/749 at most as big as -1? False Which is greater: -1/2082 or -1? -1/2082 Which is smaller: 4 or -2/13? -2/13 Which is greater: -1 or -7/36? -7/36 Is 257 > 260? False Which is smaller: -3604 or -3603? -3604 Is -150 greater than -268? True Is 3157 < 3159? True Which is bigger: 299 or 297? 299 Is 1 at most as big as -3/782? False Is 35 at most 81? True Which is smaller: 18.56 or -12? -12 Which is bigger: -1 or 14/535? 14/535 Which is greater: 0 or 2/1643? 2/1643 Are -196 and -197 unequal? True Which is smaller: 2 or -423? -423 Which is smaller: -5 or -314? -314 Is 193 at least 193? True Which is greater: 1/490 or 1? 1 Does -302 = -302? True Is 18 < 117/7? False Is -0.29 <= 0.8? True Is -300 >= -1502/5? True Which is smaller: 1/3 or -3.087? -3.087 Which is
{ "pile_set_name": "DM Mathematics" }
1 + 844050*j/11 - 278596/11 = 0. Calculate j. 1, 34, 4097 Factor -2*u**2/5 + 282838*u/5 + 127397464/5. -2*(u - 141868)*(u + 449)/5 Factor -2*l**2 - 6167610*l - 370049400. -2*(l + 60)*(l + 3083745) Factor -f**2/3 - 334229*f/3 + 668462/3. -(f - 2)*(f + 334231)/3 Determine z, given that 5*z**4 - 640*z**3 - 267245*z**2 + 1355140*z + 1621740 = 0. -179, -1, 6, 302 Factor 604*m**2/3 + 10900*m/3 - 3648. 4*(m + 19)*(151*m - 144)/3 Factor 2*a**3/5 - 8904766*a**2/5 + 8904764*a/5. 2*a*(a - 4452382)*(a - 1)/5 Let 855*n**2 - 12597580*n + 147340 = 0. Calculate n. 2/171, 14734 What is j in -j**4/8 - 325*j**3/2 - 169635*j**2/8 - 41435*j/2 + 84169/2 = 0? -1153, -146, -2, 1 Let -2*j**2/5 + 174836*j/5 - 454506 = 0. Calculate j. 13, 87405 Factor 2*a**2 + 30378*a + 50338656. 2*(a + 1893)*(a + 13296) Let -6*p**5 + 1059*p**4 + 57459*p**3 + 339576*p**2 + 558660*p + 201552 = 0. What is p? -38, -4, -2, -1/2, 221 Factor -t**3 - 2608*t**2 - 5197*t + 39090. -(t - 3)*(t + 5)*(t + 2606) Factor -4*t**2 - 277628*t + 1388240. -4*(t - 5)*(t + 69412) Determine d so that -d**3 - 1637*d**2 - 363351*d + 16719885 = 0. -1361, -315, 39 Factor z**2 + 38831728*z + 376975774866496. (z + 19415864)**2 Solve -4*f**4 - 1076*f**3 + 4544*f**2 + 8904960*f - 26726400 = 0. -232, -120, 3, 80 Let -2*t**5/5 - 632*t**4/5 - 54156*t**3/5 - 310552*t**2 - 1685530*t = 0. What is t? -199, -55, -7, 0 Find u, given that -u**2/4 + 65543*u - 655405 = 0. 10, 262162 Find i such that -53464461*i**2/5 - 106928928*i/5 - 12/5 = 0. -2, -2/17821487 Let -58*u**4 + 3524313*u**3/2 + 24663519*u**2 + 172345369*u/2 - 744702 = 0. What is u? -7, 1/116, 30396 Find b, given that b**5 + 13652*b**4 - 218616*b**3 + 983968*b**2 - 1749424*b + 1093440 = 0. -13668, 2, 10 Factor 91*w**3 + 17111*w**2 - 1613139*w - 53199. (w - 69)*(w + 257)*(91*w + 3) Let -150825*s**3 - 150831*s**2 + 904944*s + 36 = 0. What is s? -3, -2/50275, 2 Find b, given that 4*b**2 + 259976*b - 779964 = 0. -64997, 3 Factor a**2 - 2165*a/3 - 20468/3. (a - 731)*(3*a + 28)/3 Solve y**4 + 74439*y**3 + 297740*y**2 = 0 for y. -74435, -4, 0 Solve 2*i**4/9 - 178*i**3/9 - 16094*i**2/9 + 400018*i/9 + 138644/3 = 0. -69, -1, 22, 137 Find f, given that -5*f**3 - 2694325*f**2 + 26943625*f - 67359375 = 0. -538875, 5 Determine g so that 6*g**3/11 + 52180290*g**2/11 + 521802354*g/11 + 469622070/11 = 0. -8696705, -9, -1 Factor 2*k**2/17 + 85290*k/17 - 85292/17. 2*(k - 1)*(k + 42646)/17 Factor -2*p**2 + 51630772*p - 333217077164498. -2*(p - 12907693)**2 Factor -3*r**2 + 35979465*r. -3*r*(r - 11993155) Suppose -p**3/5 - 13104*p**2/5 - 143539*p = 0. What is p? -13049, -55, 0 Find l such that -4*l**3 - 7908*l**2 - 187280*l + 406224 = 0. -1953, -26, 2 Suppose -4*o**3/5 - 24784*o**2/5 + 91422064*o/5 - 13690335232 = 0. What is o? -8960, 1382 Factor o**4/6 - 12879475*o**3/6 + 12879473*o**2/2 - 38638417*o/6 + 6439736/3. (o - 12879472)*(o - 1)**3/6 Factor 5*a**2 + 345275*a - 4144020. 5*(a - 12)*(a + 69067) Suppose -g**5/9 + 71431*g**4/9 - 1275418351*g**3/9 - 708708619*g**2 - 992246040*g - 425258508 = 0. What is g? -3, -1, 35718 Suppose -45*r**4 - 137480*r**3 - 289370*r**2 + 2030320*r + 228975 = 0. What is r? -3053, -5, -1/9, 3 Find i such that -41*i**3/4 + 473963*i**2/4 + 2127471*i - 156303 = 0. -18, 3/41, 11578 Factor -5*q**2/3 - 533505*q - 1600500. -5*(q + 3)*(q + 320100)/3 Determine a so that 135*a**4/7 - 23091*a**3/7 + 154926*a**2/7 + 170280*a/7 - 7872/7 = 0. -1, 2/45, 8, 164 Solve -8*s**5 - 2798*s**4 - 123844*s**3 + 3226784*s**2 - 798912*s = 0. -292, -76, 0, 1/4, 18 Determine m, given that -2*m**2/5 - 956672*m/5 + 956674/5 = 0. -478337, 1 Find t such that 4*t**4 + 935628*t**3 - 5613912*t**2 = 0. -233913, 0, 6 Determine m, given that -2*m**4 - 17544*m**3 - 4180630*m**2 - 20464800*m = 0. -8527, -240, -5, 0 Suppose -n**4 + 189*n**3 - 5459*n**2 + 49179*n - 103428 = 0. Calculate n. 3, 13, 17, 156 Suppose 1738*x**2/3 + 44922085*x/3 - 25847/3 = 0. What is x? -25847, 1/1738 Determine f so that 3*f**2 + 337794*f + 16882200 = 0. -112548, -50 Suppose 28*z**4 + 24820*z**3 + 3246944*z**2 + 93582992*z - 1739633280 = 0. What is z? -735, -82, 88/7 Suppose b**5 - 36*b**4 + 272*b**3 + 246*b**2 - 4113*b - 4050 = 0. What is b? -3, -1, 6, 9, 25 Factor 2*u**2/15 - 8278*u/15 - 13880. 2*(u - 4164)*(u + 25)/15 Suppose -2*h**5 - 55978*h**4/3 - 764102*h**3/3 - 590066*h**2 - 1471972*h/3 - 409904/3 = 0. What is h? -9316, -11, -1, -2/3 Determine d so that -d**4 - 1259*d**3 - 398703*d**2 - 1092861*d + 273617784 = 0. -627, -29, 24 Let -2*n**4/5 + 32*n**3/5 + 11244*n**2/5 + 149968*n/5 + 514598/5 = 0. What is n? -59, -7, 89 Let 3*q**3 - 33837*q**2 - 101658*q + 1353840 = 0. Calculate q. -8, 5, 11282 Factor 6*u**4/5 + 35166*u**3 + 1717096914*u**2/5 + 5583419294562*u/5 - 44777338608528/5. 6*(u - 8)*(u + 9771)**3/5 Determine z so that -2*z**5/9 - 11312*z**4/9 - 67766*z**3/9 + 192400*z**2/9 + 1695400*z/9 + 2260000/9 = 0. -5650, -5, -4, -2, 5 Factor -2*h**2 + 636724*h + 115312566. -2*(h - 318543)*(h + 181) Suppose -76*q**4 - 16128*q**3 - 96060*q**2 + 240808*q - 128544 = 0. Calculate q. -206, -156/19, 1 Factor -6*i**2 - 4770173*i + 795029. -(i + 795029)*(6*i - 1) Solve -3*g**3 - 109*g**2/2 - 88*g + 291/2 = 0. -97/6, -3, 1 Factor -v**2/7 + 11330*v/7 - 2160384/7. -(v - 11136)*(v - 194)/7 Solve -5*u**2 + 47810*u - 74949680 = 0 for u. 1976, 7586 Find z, given that 2*z**3 + 438274*z**2 + 23997578080*z - 1417383149272 = 0. -109598, 59 Factor -3*t**3 + 3420*t**2 + 8622900*t - 10551684000. -3*(t - 1430)**2*(t + 1720) Factor -9*a**2 - 273818*a - 60848. -(a + 30424)*(9*a + 2) Factor -w**2 + 121377*w + 4735224. -(w - 121416)*(w + 39) Factor 49*h**3/5 - 1263962*h**2/5 - 44102756*h/5 - 76890744. (h - 25830)*(7*h + 122)**2/5 What is i in -i**5/5 - 3397*i**4/5 - 2725607*i**3/5 + 271592413*i**2/5 - 4598226912*i/5 - 87021386496/5 = 0? -1744, -11, 51 Find p such that 9*p**3/2 - 44412*p**2 - 110872602*p - 73895328 = 0. -2064, -2/3, 11934 Factor -14641*k**4/2 + 16093*k**3 + 163811*k**2/2 - 99750*k - 281250. -(k + 2)**2*(121*k - 375)**2/2 Suppose -z**3 - 335642*z**2 - 45633440*z - 1551379744 = 0. Calculate z. -335506, -68 Suppose -5*y**5 - 16075*y**4 - 11184090*y**3 + 2793585890*y**2 - 146446542785*y - 464782570935 = 0. Calculate y. -1709, -3, 103 Factor 2*q**2/13 + 16594528*q + 447489834257024. 2*(q + 53932216)**2/13 Let 30225*c**3/7 - 102*c**2 = 0. What is c? 0, 238/10075 Factor 3*f**2 + 56652*f + 1131840. 3*(f + 20)*(f + 18864) Factor -4*j**3 - 2988*j**2 - 396056*j + 2484768. -4*(j - 6)*(j + 181)*(j + 572) What is f in -10*f**4 + 1815*f**3 + 6460*f**2 + 2775*f = 0? -3, -1/2, 0, 185 Let -7718285768*h**3 + 23157093696*h**2 - 6709338*h + 486 = 0. What is h? 9/62122, 3 Find j, given that -j**2 + 6429258*j - 10333839607641 = 0. 3214629 Solve 2*o**3/9 + 76078*o**2/9 - 608728*o/9 + 304376/3 = 0. -38047, 2, 6 Let -38*c**4/5 - 3842*c**3/5 - 51704*c**2/5 + 448776*c/5 + 47808/5 = 0. What is c? -83, -24, -2/19, 6 Factor -3*z**2 + 1975728*z - 325291760832. -3*(z - 329288)**2 Factor 5*u**2 - 4257355*u - 93664230. 5*(u - 851493)*(u + 22) Factor -14*a**2 - 221194*a - 347556. -2*(a + 15798)*(7*a + 11) Let 2*s**2 + 177568396*s + 3941316907251602 = 0. What is s? -44392099 Factor g**2/6 + 185268910*g/3 + 17162284506294050/3. (g + 185268910)**2/6 What is k in -8861*k**2 - 18749874*k + 4232 = 0? -2116, 2/8861 What is m in 2*m**5/13 + 84*m**4/13 - 33370*m**3/13 - 788100*m**2/13 - 2749432*m/13 - 2614704/13 = 0? -141, -19, -2, 122 Factor b**3/3 + 513*b**2 - 25392*b. b*(b - 48)*(b + 1587)/3 Let -4*p**5 + 512*p**4 + 8000*p**3 - 4136*p**2 - 372860*p - 1093400 = 0. What is p? -11, -5, 7, 142 Factor -2*b**2 + 2015918*b + 28223244. -2*(b - 1007973)*(b + 14) Suppose 3*g**3 - 473727*g**2 + 1421154*g = 0. What is g? 0, 3, 157906 Find u such that -4*u**4/13 + 11326*u**3/13 - 13436*u**2 + 213584*u/13 + 1216512/13 = 0. -2, 4, 27/2, 2816 Factor -w**2/2 + 4521775*w/2. -w*(w - 4521775)/2 Determine d, given that d**2 + 3728528*d + 3475480261696 = 0. -1864264 Suppose 2*w**3 - 12750*w**2 - 126345744*w - 210428162272 = 0. Calculate w. -2932, 12239 Determine p so that -2*p**3/5 - 2092*p**2 + 8197434*p/5 + 8207892/5 = 0. -5922, -1, 693 Determine v so that -12*v**4 + 6496*v**3 + 188692*v**2 + 122904*v = 0. -27, -2/3, 0, 569 Let -170*t**4/7 + 3084*t**3 - 91278*t**2 - 7520*t/7 = 0. Calcula
{ "pile_set_name": "DM Mathematics" }
(0*m + 2*m + 0*m). 28*m**3 Expand (-34*o - 1327 + 1327)*(-2*o**3 - o**3 + o**3). 68*o**4 Expand (-13805 - 90*o + 13805)*(3 - 1 - 1). -90*o Expand (-10*n**2 - 41*n + 41*n)*(5*n**2 - n**2 + 3*n**2). -70*n**4 Expand (4 - 4 + m)*(m**2 + 3*m**2 - 2*m**2)*(0*m - 2*m + 0*m). -4*m**4 Expand (1 - 4 + 1)*(0*u + u + 2*u) + 3 - 1 + 0*u + 2*u - 5*u + 3*u + 5*u. -u + 2 Expand (-4*m**4 - m**3 + m**3)*(3 - 4 - 1)*(m - 2*m + 2*m). 8*m**5 Expand -2*i**2 + 2*i**2 + 3*i**2 + (-4 - 2*i + 4)*(-3*i + 0 + 0) - i - i**2 + i + (-1 + 1 - 2*i)*(-3*i + 2*i + 3*i) + 2*i**2 - 1 + 1 - 3*i**2 + 5*i**2 - 4*i**2. 4*i**2 Expand (0 + 4 - 2)*(-3*y + y**3 + 3*y) - 6*y**3 + 4*y**2 + 3*y**2 - 9*y**2. -4*y**3 - 2*y**2 Expand (-d**3 - 2*d**3 + d**3)*(-d**2 + 4*d**2 - 2*d**2 + (2 - 7 + 3)*(-2 + 2 - 4*d**2)). -18*d**5 Expand (-3 - 1 + 3)*(-2*s**5 + 4*s**5 + 0*s**5) + (-3*s**2 + 0*s**2 + s**2)*(3 + s**3 - 3). -4*s**5 Expand (-5 + 0 + 0)*(-z**2 + 3*z**2 - z**2) - z**2 - 3 + 3. -6*z**2 Expand 0*o**2 + 0*o**2 + o**3 + (o**2 - o**2 + o**2 - o**2 - 2*o**2 + 2*o**2 + (1 - 1 + 2)*(o**2 + 1 - 1) - o**2 - o**2 + 3*o**2)*(2 + o - 2). 4*o**3 Expand (0*r - r + 1 + 0*r)*(r - 5*r - r). 5*r**2 - 5*r Expand 3*s - 3*s - 2*s**4 + (2 - 1 - 4)*(1 + s**4 - 1)*(2 - 1 - 4). 7*s**4 Expand (-11*t**2 + 11*t**2 - 12*t**3)*(2*t + 0*t - 3*t)*(t - 2 + 2). 12*t**5 Expand (-a**2 - 1 + 1)*(0 + 2 - 1) + 2 - 2 - 8*a**2 + 4*a**2 - 2 - a**2 - a**2. -7*a**2 - 2 Expand (q + 8*q - 3*q)*(2*q + 0*q - 4*q). -12*q**2 Expand (1 - 1 - t)*(1 + 1 - 4) - 2*t - t - 2*t. -3*t Expand (0 + 0 + 1)*(0*t - 2*t + 0*t)*(7*t**4 + 10*t**3 - 10*t**3). -14*t**5 Expand (5 - 4 + 3 + (1 - 1 - 1)*(-1 - 1 + 0))*(2*i + 0*i + 0*i). 12*i Expand (-11*p**2 + 8*p**2 + 4*p**2)*(p + 0*p - 4*p)*(4 - 2 - 3). 3*p**3 Expand -5*i**2 - 4*i**2 + 5*i**2 + (-i + i + i**2)*(3 + 1 - 6) + 3*i**2 + 0*i**2 - 4*i**2 - 2*i**2 - 3*i + 3*i + 4*i**2 - 4*i**2 - 2*i**2. -11*i**2 Expand (34*x**3 + 63*x**3 + 27*x**3)*(3 - 2 + 0)*(3 + 2*x - 3). 248*x**4 Expand 3*u - u**4 - 3*u + u**4 - u + u + (4 - u**2 - 4)*(-3*u**2 - u**2 + 2*u**2) - u**3 + u**3 - u**4 - 17*u**4 + 56*u**4 + 32*u**4. 72*u**4 Expand 0*x + 0*x - 3*x + (4*x - 5*x + 2*x)*(-1 + 2 + 1). -x Expand -a**2 + 4*a - 4*a + 1 - 1 - a**2 - 5*a**2 + 2*a**2 + a**2 + (a - 3 + 3)*(-5*a + 3*a + 3*a) - 2*a**2 - 2 + 2 + (4*a + a - 3*a)*(-2*a + 0*a + 4*a). -a**2 Expand (-10*h - 25 + 25)*((-3 - 2 + 3)*(-3*h + 4*h - 3*h) - 2*h + 0 + 0). -20*h**2 Expand f + f**5 - f + (6*f**2 - 5*f**2 - 2*f**2)*(-f**3 + 4*f**3 - 4*f**3) + 3*f**3 - 3*f**3 + 4*f**5. 6*f**5 Expand (-4*v**3 + 3*v**3 + 3*v**3 + (-3 + 3 - v)*(v**2 - 3*v**2 + v**2))*(2 + 2 - 1)*(-1 + 3 + 0). 18*v**3 Expand (0 + 2*x**3 + 0)*(-2*x - x + x) + (2*x**2 + 3 - 3)*(-x**2 - x**2 + x**2)*(3 - 5 + 9). -18*x**4 Expand (2 + 0 - 3)*(-123*u**3 + 34*u**3 + 18*u**3). 71*u**3 Expand (-l + 3*l - l)*(0*l**3 - l**3 + 0*l**3) + (-2 + 5 - 4)*(l**4 - 2*l**4 - l**4) + l**4 - 3*l**4 + 4*l**4 - 2*l + 2*l + l**4 - 3*l**3 + 2*l**4 + 3*l**3. 6*l**4 Expand -3*w**2 + 2*w**4 + 3*w**2 + (w**3 - 6*w**3 - 5*w**3)*(-3*w - 1 + 1). 32*w**4 Expand 0*v**2 - v**5 + 0*v**2 + 2*v**5 - 2*v**5 + 2*v**5 + (-1 + 1 - 2*v)*(0*v**4 - 4*v**4 + 3*v**4) - 19*v**5 + v**3 - v**3. -16*v**5 Expand -h**3 + 5*h**3 - 3*h**3 + (-2*h - 9*h**2 + 2*h)*(-h - 5*h + 3*h). 28*h**3 Expand (-4 + 3 + 3)*(5*l - l - 2*l) + l - l - l. 3*l Expand (4*h - 3*h + 2*h)*(56*h - 56*h - 15*h**3 + (0*h + h + h)*(4*h**2 - 4*h**2 + h**2)). -39*h**4 Expand (-3 - 1 + 2)*(-2*u + 0*u + 4*u)*(-5*u + 15*u + 5*u). -60*u**2 Expand ((-4*h + 0*h + h)*(-4*h + h + 2*h) + (-h - 3*h + 2*h)*(2*h - 3 + 3))*(-h - 2*h + 4*h). -h**3 Expand (0 - 3 + 4)*(-2*m**2 + m**2 + 10*m**2)*(3 + 2*m - 3). 18*m**3 Expand -2*c - 5*c + 10*c + (4 - 7 + 1)*(-2 - 2*c + 2) - 3*c + 5*c - c + 0*c + 0*c + 2*c. 10*c Expand (2*r + r - r)*(-4 + 1 + 0). -6*r Expand (1 - 1 - 2)*(1 - 1 - 1)*(-z - 2*z - 5*z)*(-z + z + 3*z**3). -48*z**4 Expand (-485*x**3 + 485*x**3 + 12*x**4)*(3 - 3 + x) + x**5 - 4*x**5 + x**5. 10*x**5 Expand (-4 + 9 + 2)*(4*z - 4*z + 6*z + 1). 42*z + 7 Expand (-3*c + 3*c - c**3 + (-6*c + 3*c + 2*c)*(4 - 4 - 2*c**2) + c**3 - c + c + (1 + 0 + 1)*(c**2 - 4*c**3 - c**2))*(3 - 2*c**2 - 3). 12*c**5 Expand (2*a + 0*a + 0*a)*(-44 + 2*a**3 + 44) + 4*a**4 - 5*a**4 + 4*a - 6*a. 3*a**4 - 2*a Expand (-2 - 6 + 1)*(1 + 1 - 3)*(-2*l**3 + 3 - 3). -14*l**3 Expand (3 + 6*v - 3)*(0 - 4 + 2)*(3*v + 2*v - 3*v) + 0*v + 0*v - 2*v**2. -26*v**2 Expand (-d + 2 + 0*d + 2*d)*(d + 5*d - 2*d). 4*d**2 + 8*d Expand (6*h - 3*h - 4*h)*(1 - 1 + 3*h**2). -3*h**3 Expand (-5 - 4 - 26)*(0*s**2 + 4*s**2 - 3*s**2) - s**2 - 2*s**2 + 5*s**2 - 2 + 2 + s**2. -32*s**2 Expand (-4*r**2 - 2*r**2 + 4*r**2)*(r + 1 - 5 + 3). -2*r**3 + 2*r**2 Expand ((-4*w + w + w)*(3*w - 6*w + w) - 2*w**2 + w**2 - 2*w**2 + 5*w**2 - 2*w**2 - 2*w**2 + 2*w**2 + 0*w**2 - w**2)*(2*w**2 + 2*w**3 - 2*w**2). 6*w**5 Expand (6 - 2 - 2)*(0*v**4 + 17*v**4 + 15*v**4). 64*v**4 Expand (-h + 0*h - h)*(1 - 2 + 4 + (0 + 0 - 2)*(0 + 2 - 3)) - 2 + h + 2. -9*h Expand (-2*r**3 + 2*r**3 - 2*r**3)*(5 - 3 - 3) - 36*r + 25*r**3 + 36*r. 27*r**3 Expand 2*c**5 + c - c + 2*c**5 - 2*c**5 - 2*c**5 + (-2*c**4 + 0*c**4 + c**4)*(4 - 4 + 2*c) + c**5 - 3*c**2 + 3*c**2 + 2*c**2 - 2*c**2 - 5*c**5. -6*c**5 Expand (-31*s**3 - 11*s**3 - 6*s**3)*(-5*s**2 + 3*s**2 + 4*s**2). -96*s**5 Expand (3*b**2 + 0*b - 3*b - 4*b**2)*(-1 + 1 - 3*b**2). 3*b**4 + 9*b**3 Expand (5 - 4 + 5)*(d - 4*d + 5*d)*(-2*d**3 + d**3 + 0*d**3 + (-2 + 2 + d)*(5 + 2*d**2 - 5)). 12*d**4 Expand (2 + 3 - 1)*(4*j**2 - 4 + 4)*(-3 + 2 + 5). 64*j**2 Expand (-5 + 15 - u - 8)*(-1 + 6 + 4). -9*u + 18 Expand (0 - 2 + 3)*(-4 + 3 + 0)*(81*t**4 - 675*t**3 + 675*t**3). -81*t**4 Expand (0 - 2*q**2 + 0)*(2*q - q - 3*q) - 3*q**3 - q**3 + 3*q**3 - 2*q**3 + 5*q**2 - 5*q**2 + 5*q**3 - 3*q**3 + 0*q**3 + 5 - 3 + q**3 - 1. 4*q**3 + 1 Expand (0*x**4 - x**4 - x**4)*(-x - 4*x + 6*x) + x**5 - 3*x**2 + 3*x**2 + (-3*x**2 - x**3 + 3*x**2)*(19*x - 19*x - 11*x**2). 10*x**5 Expand (3*u**2 - 3*u**2 + u**2)*(-u**3 - 1 + 1) + (u**3 - u**3 + u**5)*(6 - 2 - 1). 2*u**5 Expand (-y + y - 2*y)*(-3*y + y + 0*y) + 4*y**2 + 0*y**2 - 23*y**2. -15*y**2 Expand (-7*n**2 + 2*n**2 + 2*n**2)*(-n + 1 + 4*n + 0). -9*n**3 - 3*n**2 Expand -9*g**3 - 15*g**3 + 9*g**3 + (-4 + 4 + 1)*(-4*g**2 + g**3 + 9 - 1 - 6). -14*g**3 - 4*g**2 + 2 Expand (113 - 6*a - 113)*(-2*a + 2*a - 2*a) - 2*a + 3*a**2 - 5*a**2 + 4*a**2. 14*a**2 - 2*a Expand (-4 + 3 + 6)*(-4 - 1 + 4)*(2*n + 0*n - 3*n). 5*n Expand (0*c**4 + c**4 + 0*c**4)*(-10 + 0 - 1) + (0*c**3 + 0*c**3 + c**3)*(4*c + 0*c - 2*c). -9*c**4 Expand (-2 - 2*c**2 + 2)*(3 + 18 - 2) - 4*c**2 + c + 14 - 14. -42*c**2 + c Expand (0*y + 2*y + 0*y)*(-14*y - 8*y + 6*y). -32*y**2 Expand -3*a**2 + 4*a**4 - a**2 - 160*a**3 + 162*a**3 + 2*a**4 - a**4 - 2*a**4 + (2*a**2 - 2*a**2 - 2*a**2)*(-4*a + 2*a**2 + 4*a). -a**4 + 2*a**3 - 4*a**2 Expand (k**2 + 4*k**2 + 2*k**2)*(0*k**2 - k**2 - k**2) - 3 + 3 + 2*k**4 - 5*k**2 + k**4 + 5*k**2 + (0*k**2 + k**2 - 3*k**2)*(-2*k**2 - 3*k + 3*k). -7*k**4 Expand (2*h + 6*h**3 - h - 2*h**3)*(3 + 2*h - 3)*(-61 + 61 - 2*h). -16*h**5 - 4*h**3 Expand (-50*n - 8*n - 3*n)*(3 + 0 - 4)*(-n + n - 2*n). -122*n**2 Expand (-3 + 2*v + 3)*(v - v + 2*v) + v + 3*v**2 - 10 + 10. 7*v**2 + v Expand (0*i - 2*i + 0 - 2)*(i**2 + 2*i**4 - i**2). -4*i**5 - 4*i**4 Expand 13*x**3 - 6*x**3 + 14*x**3 + (-5*x + 0*x + 3*x)*(-2*x + 2*x - 2*x**2). 25*x**3 Expand (-3*n**2 + 4*n**2 + 2*n**2)*(2*n**3 - 2*n**3 - 4*n**3). -12*n**5 Expand (2 - 3 + 3)*(-s**2 + 2*s**2 - 2*s**2) - 2*s**2 - 2*s**2 + 3*s**2 - s**2 + 4*s - 4*s + (1 - 1 - 2*s**2)*(2 - 2 - 34). 64*s**2 Expand (0 - 4 + 3)*(5*g - 4*g + 0*g)*(-2 - 1 - 2). 5*g Expand (0*f + 4*f - 2*f)*(-f**2 + 3*f**2 - f**2) + 10*f**3 - 10*f + 10*f. 12*f**3 Expand (2 + 2*a - 2 + (-1 - 2 + 4)*(2*a - a + a) - 4 + 2*a + 4 + a + a + 0*a + 2 - 2 - 2*a + 5 - 5 + 2*a - a - 3 + 3)*(-a**4 + 2*a**4 + a**4). 14*a**5 Expand (2*k**4 + 2*k**3 - 2*k**3)*(7 + 3 + 8) + 5*k**4 - 2*k**4 - 2*k**4. 37*k**4 Expand -3 + 3 - f**2 + (2*f + f + 0*f)*(2*f + 0*f + 2*f). 11*f**2 Expand 3*i**2 + i**2 - 2*i**2 - 2*i**2 + 0*i**2 + 0*i**2 + (i + i - i)*(-5*i + 2*i + i) + 5*i**2 + 6*i**2 - 16*i**2. -7*i**2 Expand (0 + 0 + p - 3 + p + 3 + (5 - 2*p - 5)*(2 + 0 + 0) + 5*p - 5*p - p + 3*p + 2*p - 4*p)*(p - 2 + 2)*(0*p + 4*p + p). -10*p**3 Expand (2*x + x - 4*x)*(-4 + 7 - 22) - 27 +
{ "pile_set_name": "DM Mathematics" }
emainder when 35911 is divided by 3989? 10 Calculate the remainder when 19441034 is divided by 347. 12 Calculate the remainder when 7554861 is divided by 1525. 11 What is the remainder when 100547370 is divided by 57? 54 Calculate the remainder when 17485935 is divided by 26255. 105 What is the remainder when 4384798 is divided by 15? 13 Calculate the remainder when 79765518 is divided by 2156. 2142 Calculate the remainder when 6297240 is divided by 2275. 40 Calculate the remainder when 4874028 is divided by 490. 488 Calculate the remainder when 10433 is divided by 1277. 217 What is the remainder when 17638848 is divided by 191? 189 What is the remainder when 3501290 is divided by 9? 2 Calculate the remainder when 445975 is divided by 165. 145 Calculate the remainder when 231170693 is divided by 917344. 5 What is the remainder when 5283836 is divided by 440308? 140 What is the remainder when 19007520 is divided by 109? 100 Calculate the remainder when 69873 is divided by 69249. 624 Calculate the remainder when 2177755 is divided by 725908. 31 What is the remainder when 27338407 is divided by 1727? 1724 Calculate the remainder when 6739712 is divided by 1559. 155 What is the remainder when 3061243 is divided by 74? 11 Calculate the remainder when 78389 is divided by 1197. 584 Calculate the remainder when 25883540 is divided by 79. 59 What is the remainder when 50444 is divided by 2964? 56 What is the remainder when 7546570 is divided by 47166? 10 Calculate the remainder when 6885906 is divided by 982. 122 Calculate the remainder when 336680 is divided by 109786. 7322 Calculate the remainder when 28601327 is divided by 716. 707 What is the remainder when 5845748 is divided by 869? 854 What is the remainder when 709492 is divided by 9020? 5932 Calculate the remainder when 3397536 is divided by 19526. 12 Calculate the remainder when 155696 is divided by 704. 112 Calculate the remainder when 652431 is divided by 245. 241 Calculate the remainder when 690183 is divided by 3944. 3927 What is the remainder when 4201229 is divided by 22? 21 What is the remainder when 62276 is divided by 7778? 52 What is the remainder when 352767 is divided by 911? 210 What is the remainder when 11955318 is divided by 6109? 5 Calculate the remainder when 772483 is divided by 257130. 1093 Calculate the remainder when 866095 is divided by 21106. 749 Calculate the remainder when 316119 is divided by 360. 39 What is the remainder when 6577059 is divided by 2192349? 12 What is the remainder when 111438755 is divided by 971? 969 What is the remainder when 82667200 is divided by 169400? 0 What is the remainder when 712666243 is divided by 25? 18 Calculate the remainder when 21210380 is divided by 14709. 2 Calculate the remainder when 10656754 is divided by 204937. 30 Calculate the remainder when 231057 is divided by 218. 195 Calculate the remainder when 2293379 is divided by 18. 17 What is the remainder when 6502836 is divided by 361263? 102 What is the remainder when 2968 is divided by 1473? 22 Calculate the remainder when 4978979 is divided by 4623. 8 Calculate the remainder when 1929785 is divided by 598. 39 Calculate the remainder when 691046 is divided by 441. 440 Calculate the remainder when 407217 is divided by 1470. 27 Calculate the remainder when 4891 is divided by 213. 205 Calculate the remainder when 8098311 is divided by 1619651. 56 What is the remainder when 137273941 is divided by 123? 37 Calculate the remainder when 1843707 is divided by 836. 327 What is the remainder when 124061398 is divided by 1756? 1754 Calculate the remainder when 11520863 is divided by 5760424. 15 What is the remainder when 12378270 is divided by 29? 26 What is the remainder when 4035511 is divided by 43? 4 Calculate the remainder when 121326829 is divided by 215884. 21 Calculate the remainder when 351981 is divided by 610. 11 What is the remainder when 343333 is divided by 5456? 5061 Calculate the remainder when 63540 is divided by 1926. 1908 Calculate the remainder when 2627031 is divided by 2331. 2325 What is the remainder when 4291140 is divided by 12621? 0 What is the remainder when 7886 is divided by 7786? 100 Calculate the remainder when 40143990 is divided by 8. 6 Calculate the remainder when 719301 is divided by 359646. 9 What is the remainder when 121629 is divided by 23568? 3789 Calculate the remainder when 161159 is divided by 52336. 4151 Calculate the remainder when 843288 is divided by 9909. 1023 What is the remainder when 44828067 is divided by 239? 32 What is the remainder when 12172 is divided by 11180? 992 What is the remainder when 3450069 is divided by 1150017? 18 What is the remainder when 482239 is divided by 10021? 1231 Calculate the remainder when 43470746 is divided by 4787. 4786 Calculate the remainder when 51736 is divided by 199. 195 Calculate the remainder when 4365 is divided by 188. 41 What is the remainder when 9727898 is divided by 14? 12 Calculate the remainder when 366131 is divided by 7884. 3467 What is the remainder when 2765043729 is divided by 236? 233 Calculate the remainder when 18825637 is divided by 116. 113 What is the remainder when 14808 is divided by 14732? 76 What is the remainder when 732955 is divided by 46? 37 Calculate the remainder when 100314 is divided by 100037. 277 Calculate the remainder when 1393259 is divided by 47. 38 Calculate the remainder when 29640 is divided by 1598. 876 What is the remainder when 1173497 is divided by 1093? 708 Calculate the remainder when 8732173 is divided by 44. 21 What is the remainder when 33913075 is divided by 914? 19 What is the remainder when 801110 is divided by 33? 2 Calculate the remainder when 168393 is divided by 2521. 2007 What is the remainder when 1911585 is divided by 5321? 1346 What is the remainder when 209298 is divided by 214? 6 Calculate the remainder when 22317 is divided by 607. 465 Calculate the remainder when 1259829 is divided by 419899. 132 Calculate the remainder when 295975 is divided by 1495. 1460 Calculate the remainder when 1514342 is divided by 283. 9 What is the remainder when 525240 is divided by 4896? 1368 Calculate the remainder when 1929166 is divided by 102. 40 What is the remainder when 3799258 is divided by 194? 156 Calculate the remainder when 70372 is divided by 4067. 1233 Calculate the remainder when 11082072 is divided by 45. 12 Calculate the remainder when 3951162 is divided by 740. 302 What is the remainder when 890021 is divided by 6267? 107 What is the remainder when 188547 is divided by 413? 219 What is the remainder when 3825881 is divided by 19? 3 What is the remainder when 990596 is divided by 937? 187 Calculate the remainder when 24214851 is divided by 410421. 12 Calculate the remainder when 1428991 is divided by 1037. 5 Calculate the remainder when 127718457 is divided by 7. 6 Calculate the remainder when 515580 is divided by 3373. 2884 Calculate the remainder when 497613 is divided by 38103. 2274 What is the remainder when 13191735 is divided by 21? 18 What is the remainder when 696950 is divided by 2562? 86 Calculate the remainder when 34383518 is divided by 630. 8 Calculate the remainder when 253094 is divided by 398. 364 What is the remainder when 4867754 is divided by 124? 10 Calculate the remainder when 20046 is divided by 43. 8 Calculate the remainder when 321261 is divided by 40126. 253 What is the remainder when 198356 is divided by 14? 4 Calculate the remainder when 78332364 is divided by 4351797. 18 What is the remainder when 4926162 is divided by 171? 165 Calculate the remainder when 704024 is divided by 52. 48 Calculate the remainder when 856821 is divided by 595. 21 What is the remainder when 16237455 is divided by 8118718? 19 What is the remainder when 17660 is divided by 731? 116 Calculate the remainder when 16568629 is divided by 51. 4 What is the remainder when 75457 is divided by 4387? 878 Calculate the remainder when 15276 is divided by 1279. 1207 What is the remainder when 99369 is divided by 43? 39 What is the remainder when 55336 is divided by 7890? 106 What is the remainder when 6661686 is divided by 33644? 174 Calculate the remainder when 9811117 is divided by 446. 9 What is the remainder when 373983806 is divided by 704?
{ "pile_set_name": "DM Mathematics" }
p is divided by q. 10 Let p = 10 + -3. Suppose -4*d = -p*d + 51. What is the remainder when d is divided by 6? 5 Suppose 4*m = 2*m + 24. Calculate the remainder when 35 is divided by m. 11 Suppose 5*o + 0*o - 30 = 0. Let b be -2*2/(-6)*-3. Let m = b + o. What is the remainder when 6 is divided by m? 2 Suppose -3*d + 2*b = -6, 0*d + 3*d - b - 9 = 0. Let c = 5 + d. Calculate the remainder when c is divided by 1/(-4) + (-42)/(-8). 4 Suppose -11 + 47 = 4*j. What is the remainder when 16 is divided by j? 7 Suppose 4*k + 10 = -10, -5*f = 4*k. What is the remainder when -1*3/(-3)*7 is divided by f? 3 Suppose -2*g - 8 - 4 = -d, 0 = -5*d - g + 82. Calculate the remainder when 29 is divided by d. 13 Let j(c) = 2*c**2 - 2*c + 10. What is the remainder when j(5) is divided by 17? 16 Let k = 0 - 0. Let n(g) = 2*g**2 - 11*g + 10. What is the remainder when n(7) is divided by (-11)/(-1) - k/(-2)? 9 Suppose 0 = -5*j + 3*a + 128, 2*j - 3*a - 53 = -0*j. What is the remainder when 47 is divided by j? 22 Suppose -p + 45 = 3*w, 4*w = -0*w. Suppose 0 + p = 3*x. Suppose b = 15 + x. Calculate the remainder when b is divided by 11. 8 Let h(a) = -12*a**3 - a**2 + 2*a. Let p be h(-2). Calculate the remainder when 2/(-4) + p/16 is divided by 4. 1 Suppose -2*j - m + 106 = 0, -2*m = 3*j + 2*j - 265. Let u(s) = s - 2. Calculate the remainder when j is divided by u(16). 11 Suppose -3*u = u. Suppose -2*m + 20 = -u*m. Let c = 4 + m. What is the remainder when c is divided by 8? 6 Suppose 4*d - 28 = -2*h, 5*h - 4 = 5*d - 4*d. Let i = d + -4. What is the remainder when i is divided by 2? 0 Suppose 0 = -4*r - 9 - 3. What is the remainder when 44 is divided by 2 - r/3*13? 14 Let r(c) = c**2 - 3*c + 7. Let k(n) = -n**3 + 9*n**2 + 2*n - 13. Let w be k(9). Calculate the remainder when 31 is divided by r(w). 14 Let i(k) = k**2 + 23. Calculate the remainder when 44 is divided by i(0). 21 Let v(b) = 19*b - 2. Let z = -4 - -6. Let t be v(z). Let q = t + -24. Calculate the remainder when 34 is divided by q. 10 Let n = 23 - 26. What is the remainder when (-2 - n)*(-12 - -33) is divided by (-2 + -2)/((-2)/6)? 9 Let n = -14 - -20. Let s(a) = -a**2 - 10*a - 9. What is the remainder when s(-6) is divided by (-16)/n*9/(-3)? 7 Suppose 3*v = 12, -5*i - 3*v + 67 = -15. What is the remainder when 47 is divided by i? 5 Suppose 3*o - 17 = 5*s, -4*o - 5*s + 6 = -5. Suppose -o*h = -0*h - 8. What is the remainder when 3 is divided by h? 1 Suppose 24 = m + m + 5*j, -4*m + 68 = 5*j. Suppose 3*p + 12 = 4*p. Calculate the remainder when m is divided by p. 10 Let i = 4 + 13. What is the remainder when 46 is divided by i? 12 Let c(x) = 2*x + 0*x**3 + x**2 - x**3 - 4*x**2 - 5. Let w be ((-2)/(-3))/(4/(-24)). Calculate the remainder when 7 is divided by c(w). 1 Suppose -3*d + 70 = 16. Let c = d - 16. Calculate the remainder when c is divided by 1. 0 Suppose 2*k - l + 1 = 0, -l + 4 = -3*k + l. Suppose -n = -4*m - 7, -6 = -0*m - k*m. Calculate the remainder when n is divided by 5. 4 Suppose 0 = -4*o + y - 25 - 48, -o + 4*y - 7 = 0. Let x = -11 - o. Calculate the remainder when x is divided by 3*3/(-9) - -4. 2 Let d(f) = -8*f + 1. Let w be (-1 + 0 + -1)*2. Let j be d(w). Let h = j - 19. Calculate the remainder when 40 is divided by h. 12 Let o(r) = -r**3 - 4*r**2 - 5*r - 4. Let w be o(-3). Suppose -61 = -4*t - b, w*t - 4*b - b - 25 = 0. What is the remainder when 57 is divided by t? 12 Let j = 28 + 4. Let g(q) = 18*q**3 - 1. What is the remainder when j is divided by g(1)? 15 Let c(o) = -5*o + 28. Calculate the remainder when c(0) is divided by 10. 8 Let r = 81 + -30. What is the remainder when r is divided by 13? 12 Suppose -60 = -2*q - p - 19, 0 = p - 5. Let z = q + 39. Calculate the remainder when z is divided by 15. 12 Suppose -f + y + 6 + 19 = 0, 4*y - 32 = -2*f. Let n(m) = m**2 - 7*m + 4. Suppose -2*r + 25 = 9. Calculate the remainder when f is divided by n(r). 10 Let g = 4 - 2. Suppose -f + 3 = x - g*f, -5*x + 3*f + 19 = 0. What is the remainder when x is divided by 4? 1 Suppose 34 = 5*c - 26. Calculate the remainder when 83 is divided by c. 11 Let i(t) = 12*t + 8. Let r(v) = -4*v - 3. Let p(s) = 5*i(s) + 14*r(s). Calculate the remainder when p(3) is divided by 6. 4 Suppose -2*u + 290 = 3*u. Suppose u = 3*a - 2. Calculate the remainder when 39 is divided by a. 19 Calculate the remainder when 1/3 - (-51)/9 is divided by 2. 0 What is the remainder when ((-3)/(-12))/(-1) + (-229)/(-4) is divided by 20? 17 Let j = 134 + -89. What is the remainder when j is divided by 3/(-15)*-4*30? 21 Let z(h) = h + 3. Let w be z(0). Suppose -w*o - 9 = -6*o. What is the remainder when 8 is divided by o? 2 Let c = 15 - 11. Suppose -v = c*b + 140, -2*b + 2*v = 3*b + 188. Let o = b - -50. Calculate the remainder when o is divided by 5. 4 Suppose -8 = 2*i - 3*i. Suppose 0*p = p. What is the remainder when 18 is divided by (p + 1)*(i - -2)? 8 Let p(j) = j**3 + 6*j**2 - 9*j - 10. Suppose 6 = -3*x, -5*r + 0*r - 4*x + 57 = 0. Calculate the remainder when r is divided by p(-7). 1 Let m(x) = x**3 + 2*x**2 - 2*x - 1. Let j be m(-2). Let g = 38 - j. Suppose -g = -3*c + 5*r - r, 2*r = c - 15. What is the remainder when 18 is divided by c? 3 Suppose 3*p = -7*l + 4*l - 3, p - 7 = -3*l. What is the remainder when (-2)/(-5) - 231/(-35) is divided by l? 3 Let a be (-55)/10 + (-1)/2. Let p = -2 - a. What is the remainder when 7*(3 + (1 - 3)) is divided by p? 3 Suppose -y - s + 4*s = -21, 0 = -4*y + 2*s + 124. Suppose 2*i + v - 21 = 2, -y = -3*i - v. What is the remainder when (-60)/(-35)*(-42)/(-4) is divided by i? 8 Suppose 3*f - 149 = -5*o, -4 + 188 = 4*f + 3*o. Calculate the remainder when f is divided by 15. 13 Calculate the remainder when 6 is divided by -3 - -3 - (-4 - -2). 0 Suppose -2*n + 234 = 4*g, g + 171 = 3*n - 166. Calculate the remainder when n is divided by 29. 26 Suppose -9*z + 7*z = -92. Calculate the remainder when z is divided by 16. 14 Let x(k) = -k + 19. Calculate the remainder when 112 is divided by x(0). 17 Let r be 0*(2 - (4 - 1)). Suppose -x - 15 = -4*y - y, r = 5*y - 3*x - 15. Let p = 24 + -14. What is the remainder when p is divided by y? 1 Suppose 4*t - 77 = -5*w, -3 = -w - t + 13. Calculate the remainder when w is divided by 6. 1 Suppose -3*d + l + 50 = 0, -3*d + 34 = -7*l + 2*l. What is the remainder when 71 is divided by d? 17 Let p(k) = 2*k**2 + 14*k - 9. Let v(q) = -q**3 - 3*q**2 - 3*q - 3. Calculate the remainder when v(-4) is divided by p(-8). 4 Suppose -4*p = -2*p + 14. Let k = -4 - p. Calculate the remainder when k is divided by 3. 0 Let h = -4 + 2. What is the remainder when (74/1)/h*-1 is divided by ((-13)/4)/(16/(-64))? 11 Suppose -130 = -64*k + 59*k. What is the remainder when k is divided by 7? 5 Suppose -4*v - 8 = -2*v - 3*t, -3*t = v - 14. Suppose 4*w + v*y - 128 = 0, y = 5*w - 161 - 6. What is the remainder when 97 is divided by w? 31 Suppose -y + 25 = -t - 86, -y + 111 = -2*t. Suppose 3*p - 36 = -2*b - p, -5*b + y = 3*p. What is the remainder when 47 is divided by b? 23 Suppose -w + 1 = 0, -2*y + y + w = -9. Calculate the remainder when y is divided by 4. 2 Let r(s) = s + 12. Calculate the remainder when r(5) is divided by 7. 3 Let k = 9 + 3. Suppose 4*j - 5*n + n = 96, 3*j - 2*n = 69. Calculate the remainder when j is divided by k. 9 Suppose 4*y + 0*y + 17 = 3*n, -2 = -4*n - 5*y. What is the remainder when (-54)/(-8) - n/(-12) is divided by 3? 1 Suppose -2*x + 19 = -x - y, -2*x - 2*y + 54 = 0. What is the remainder when 66 is divided by x? 20 Suppose -5*p - 4*m + 259 = 0, 4*p - 161 = p - m. Suppose 2*d + 0*d = 38. Calculate the remainder when p is divided by d. 17 Calculate the remainder when 1 + (-4 - -59) + -3 is divided by 18. 17 Let l = 7 - 3. Suppose -l*p = -5*q - 11, 11 = 2*q - 4*p + 25. Suppose 2*a + s - 2 = -3, -5*s - 11 = 4*a. Calculate the remainder when a is divided by q. 0 Suppose 0 = -2*u + 11*u - 2448. What is the remainder when u is divided by 55? 52 Suppose -3*x = -4*l - 5*x + 906, 0 = 3*l + 5*x - 669. Suppose -5*o - o = -l. Calculate the remainder when o is divided by 20. 18 Suppose -2*m + 92 = -m. Let n = m - 30. Calculate the remainder when n is divided by 21. 20 Let g(f) = 13*f**3 - 19*f**2 + 41*f - 1. Let a(k) = 3*k**3 - 5*k**2 + 10*k. Let x(t) = 9*a(t) - 2*g(t). Calculate t
{ "pile_set_name": "DM Mathematics" }
et t be (3/((-6)/8))/s. Suppose 4*w = -5*r + 7, -5*w - 140*r + 143*r + 55 = 0. Solve 0 = t*j - 0*j + w for j. -4 Suppose -239*z - 14 = -241*z. Solve -1 + z = -3*o for o. -2 Let q = 16 - 16. Suppose 3*u + q = 3. Suppose -d + 2 = 2*r - u, 0 = -2*r + 2*d - 6. Solve -2 + r = -b for b. 2 Suppose -9*p + 152 = 10*p. Solve 0 - 40 = p*z for z. -5 Suppose -16 = -j - 3*j. Let r(h) = -3*h + j*h + 18 + 0*h. Let i be r(-13). Solve -i = -b + 6*b for b. -1 Let y(c) = c**2 - 8*c + 6. Let x(z) = -3*z**2 + 24*z - 19. Let g(s) = -3*x(s) - 8*y(s). Let a be g(7). Solve 0*o = -a*o - 2 for o. -1 Let u be (-10)/35 + (-5)/(70/(-396)). Let p be u/(-224) - 2/(-16). Solve 10 = -p*k + 5*k for k. 2 Suppose 9 + 3 = 4*m. Suppose 0*s + m*s - s = 0. Solve s*r = r for r. 0 Let v = 39 - 35. Let n = v + 0. Let g(r) = r**3 - 10*r**2 + 12*r - 11. Let m be g(9). Solve 0 = -n*s + m for s. 4 Let t = -9 - -13. Suppose -38 = t*q - 6. Let w = q - -8. Solve 2*m - 1 + 7 = w for m. -3 Let k(a) = 8*a + 19. Let t(b) = 3*b - 14. Let f be t(7). Let s(x) = 4*x + 9. Let p(h) = f*s(h) - 4*k(h). Let m be p(-4). Solve 2*z = m*z for z. 0 Suppose 5*y = 5*r - 30, 16 + 8 = 4*r - y. Let a be (r + -4 - 3)*-5. Solve -a*o = -o for o. 0 Let b(m) = -4*m - 16. Let p be b(-6). Let f be p/(-6)*(-27)/6. Solve -3*i + 15 = -f*i for i. -5 Suppose -41 = -2*j - 3*d, d = -j - d + 19. Suppose 2*b - 3*b - 4*i = -j, b + 11 = 5*i. Solve 0*z = 3*z + b for z. -3 Let h(j) = 2*j**2 - 52*j + 15. Let k be h(26). Solve 37 = k*d - 23 for d. 4 Suppose 3*j - 31 = 5*u, -u = j + u + 8. Suppose 0 = j*v + c - 19, c = 2*v + 3*c - 24. Suppose 2*y - 3*k = 24, 32*y = 30*y - 4*k + 10. Solve y = -4*o - v for o. -4 Suppose -4*k + 84 = 36. Suppose 5*l - 20 = -j, -l - k = -5*j + 10. Solve -6 = -5*o + l*o for o. 3 Let x(z) = z**3 - 6*z**2 + 5*z + 1. Let o be x(5). Let q = o - -3. Suppose -4*m - q*b = -64, -56 = -3*m - 4*b - b. Solve j - 4*j = -m for j. 4 Suppose 2*l + 6 = 0, -2*t + 0*l + 15 = -5*l. Suppose 8 = -4*o + 4*r - t*r, -37 = -4*o - 5*r. Solve -2 = o*s + 13 for s. -5 Let q be 9/((-3)/(-1) + -2). Let u = q + -1. Solve -2*d + 0*d = u for d. -4 Let h(o) = 17*o - 27. Let f be h(2). Solve s + 24 = f*s for s. 4 Let a(o) = 9*o + 33. Let u be a(-3). Solve u*h = 4*h for h. 0 Let t(p) = p**3 - 3*p**2 + 2*p + 2. Let k be 0*(-2)/6 + 2. Let n be t(k). Let z(m) = m**2 - 13*m - 27. Let x be z(15). Solve n + 1 = -x*u for u. -1 Let o be 5/7 + 14/49. Suppose 3*z - o = 2. Let x(g) = g**2. Let d be x(z). Solve -4*i = -11 - d for i. 3 Let v be 8/(-3) + 3 + 2565/81. Solve -v = -a - 30 for a. 2 Let l be ((-1)/2)/(4/(-264)). Let h be (-2)/(-4)*(l + -3). Suppose 2*n + d - 4 - 8 = 0, 0 = 3*n + d - 16. Solve 0 = b + n*b - h for b. 3 Let l(b) = -b + 6. Let y be l(5). Let v be -1*(-1)/2*-12. Let t be 30/(-4)*v/9. Solve -t*n - 9 = y for n. -2 Suppose 2*a = 7*a. Let b(f) = f**2 + 29*f + 207. Let g be b(-12). Suppose a*c = -g*c. Solve 1 = -v - c*v for v. -1 Let x(s) = s**3 - 5*s**2 - 6*s + 6. Let j be x(6). Solve j*a - 4 - 2 = 0 for a. 1 Let i be (-90)/(-27) + -4 - (-188)/12. Suppose 3*g - 1 - 5 = 0. Solve -g*s = 3*s - i for s. 3 Let f be (-11 + 11)*(-3)/(20 + -2). Solve f = -b + 4*b + 6 for b. -2 Let b(f) = f**3 - 11*f**2 + 17*f + 12. Let s be b(9). Suppose -4*j + 20 = 2*i, -7*i - s*j = -6*i - 15. Solve 3*x + 9 = -i for x. -3 Let w(x) = -x**2 - x. Let q be w(0). Suppose q = -2*c - c + 114. Let f = 42 - c. Solve f*l = l for l. 0 Suppose 12*p - 12 = 9*p. Suppose c + 5*x - 11 = 0, -p*c + x - 19 = -7*c. Solve -5*m + 4 = -c for m. 2 Let m = 66 + -45. Let b = -16 + m. Solve 0 = 5*i - 4*i + b for i. -5 Suppose -9*p + 5*p + 9 = -h, h = 2*p - 1. Solve -h*b = -9*b + 6 for b. 3 Let w(h) = 8*h + 156. Let u be w(1). Solve -u*n + 165*n = 4 for n. 4 Suppose 2 + 1 = t. Suppose j + 5*a + 8 = 3*j, -4 = -j + t*a. Solve 4 = -j*s - 0 for s. -1 Suppose 0 = -5*b + 19 + 6. Let i be (-6)/12 + 11/2. Suppose -5*a - 2*f - 3*f = 20, i*f = -3*a - 20. Solve 5 = -b*z - a for z. -1 Let l(b) = b + 24. Let y be l(-20). Solve 0*a = -y*a - 16 for a. -4 Let b = 38 + -3. Suppose 0 = -2*o + 3 - b. Let c be 30/(-12)*o/10. Solve -c*s = -0*s + 12 for s. -3 Let m be (-472)/(-7) + 66/(-154). Solve m = 6*h + 37 for h. 5 Suppose 67*n = 4*n + 630. Solve 14 - 54 = n*c for c. -4 Let x = 15 + -11. Suppose -v = 2*c - 10, -x*c = -5*v - 3*c - 5. Suppose 5*k - 5*d - 225 = 0, 3*k - d + 4*d - 123 = 0. Solve -5*g + 18 - k = v for g. -5 Let l be 3*(-2 - -1)*-1. Suppose 4*g = 5*m, l*g + 0*g - 31 = -4*m. Suppose m*q = 3*q. Solve q = -0*t + 2*t - 8 for t. 4 Let s = 823 - 807. Solve 0 = -f - 3*f + s for f. 4 Suppose 0 = 3*k - 10 - 8. Let h = -278 - -272. Let u = h + k. Solve l + u = -1 for l. -1 Let o(g) = -g**3 + 0*g**3 - 3*g - 19 + 17. Let m be o(-1). Solve 0 = m*k - 0*k - 10 for k. 5 Let l(v) = 102*v - 507. Let o be l(5). Let t(w) = w**2 + w - 10. Let s be t(-7). Suppose -s = -2*i - 0*i. Solve 1 - i = o*z for z. -5 Suppose 20 = 5*d + 5*f, d - 4*d + 9 = 2*f. Let x(h) be the second derivative of -h**3/6 + 3*h**2/2 - 41*h. Let k be x(2). Solve 0 = -2*t + d + k for t. 1 Let w(r) = -12 + 0 - 4*r**2 + 10*r + 4*r + 2*r**2. Let c be w(6). Solve c = 6*y - 3*y - 9 for y. 3 Let o be (4 - (-246)/(-30))/(2/(-10)). Solve 16*t - o*t = 5 for t. -1 Suppose -16 = -2*g - 4*y, -4*y + 0*y = -3*g + 14. Suppose 2 - g = -2*n. Let l be (-1 + 4)/(3/n). Solve 0 = -l*i - 3*i + 5 for i. 1 Let h be ((-708)/1180)/(2/(-10)). Solve h*u + 21 = 10*u for u. 3 Let y be 6/8*118*(-6)/(-9). Solve y = 11*l + 15 for l. 4 Let h = -41 - 25. Let x = h - -72. Solve a + 5 = x*a for a. 1 Suppose 0 = 5*k + 1 + 9. Let p be 6 + -6 + 0/k. Suppose p = -5*u + u + 32. Solve u = d + d for d. 4 Suppose 81*a = 60*a + 63. Solve a*d + d = 12 for d. 3 Suppose 8*t = 4*t. Let n = t - -4. Suppose -n*p + 8 = 4*m, -3*m + p + 11 = -p. Solve 0 = 3*r + 3 + m for r. -2 Let w(h) = h**3 - 2*h + 1. Let b be w(1). Let y = -13 - -16. Suppose -1 = -y*i + 17. Solve b = -i*u + 4*u + 4 for u. 2 Let t(s) = -s**2 + 8*s - 9. Let x be t(6). Solve -16 = -x*v - v for v. 4 Let u = -52 - -47. Let l be 13 + (-2 + -1 - u). Solve 2*h + l = -h for h. -5 Let o(x) = -x - 1. Let t be o(-7). Let b = t - -11. Suppose -3*a + b = 2*v, -a - 4*v + 24 - 5 = 0. Solve 3 = -a*h - 6 for h. -3 Let r(o) = o**2 - 7*o - 3. Let y be r(8). Suppose -3*x - y*b = -5, 5*b - 1 = -4*x + 4*b. Solve x = -g + 1 for g. 1 Let d = -1487 + 1494. Suppose -t = -4*l - 3*t + 2, t = -3. Let b = 4 - l. Solve r + d = b for r. -5 Let f = -1 - -4. Suppose -5 = f*w - 11. Suppose -w*a - p + 6*p + 29 = 0, -p + 3 = 4*a. Solve 0 = -a*n - n + 12 for n. 4 Let f be 1/(4*(-3)/(-216)). Let w be (-9)/f + (-9)/(-6). Solve o - 2*o = -w for o. 1 Suppose 0 = -m + 3*c + 2*c - 15, 3*c = 4*m - 25. Suppose 2*a - o = -2*o + 4, m = 4*a + o. Solve t - 16 = -a*t for t. 4 Let t(f) = f**2 - 9 + 21 - 9*f - 2. Let v be t(8). Suppose b = -5*z - 7, 2*b + 3*z - z - v = 0. Solve w - 12 = -b*w for w. 3 Let b(d) = 11*d**2 - 12*d**2 + 2*d - d - d**3. Let i be b(0). Solve 2*n - 8 - 2 = i for n. 5 Let p = 1 - 3. Suppose 2*o - 6 + 26 = 0. Let j be (o + 9)/(p/4). Solve j*u - u + 1 = 0 for u. -1 Let h(v) = -2*v - 8. Suppose -7 = 3*s + 14. Let p be h(s). Let j be 3*((-12)/4 + 4). Solve -r - p = -j*r for r. 3 Suppose 4*o + 3*p - 19 = 0, o + 29 = 5*o + 5*p. Let g(b) = -2*b**2 - 2*b + 2. Let j be g(o). Let q be j/(-6)*(-3 + 9). Solve q*c + 2*c = 0 for c. 0 Let t be (6*(-3)/6)/(-1). Let z(j) = j - 3. Let u be z(t). Solve 2*r - 4*r - 2 = u for r. -1 Let b = 5 + 14. Suppose 0 = -5*k + b - 4. Solve -k*s - 3 = -2*s for s. -3 Let t be 240/132 + (-6)/(-33). Solve -p = t*p - p for p. 0 Let u(n) = 4*n**2 - 1. Let x be u(1). Suppose -5*d - 11 = x*m, -4*d - 9 = -d + m. Let q be d + 7/(21/12). Solve q*g - 1 = g for g. -1 Let g = 235 + -232. Solve 0*d = 3*d - g for d. 1 Let c = -32 - -42. Suppose 11*l - c = 89. Solve -l*v - 2 = -11*v for v. 1 Let o(h) = -2*h**2 + 20*h + 3. Let r be o(10). Suppose -r*y + 10 = f - 4*y, 2 = 2*f + 4*y. Solve 5*m - 13 = f for m. 4 Let l(b) = b**3 - 9*b**2 - 9*b - 6. Let f be l(10). Suppose -f*x = -6*x - 10. Let y be ((x - 1) + 2)*-1. Solve -17 = y*v - 1 for v. -4 Suppose 0*i - 85 = -3*i + 5*z, 5*i = -5*z + 155. Let g(o) = -o**2 - o. Let h be g(-3). Let t = h + i. Solve 4 - t = 5*v for v. -4 Let j(r) = 11*r**2 - 17*r + 16. Let z be j(1). Solve -13*a + z = -18*a for a. -2 Suppose -8
{ "pile_set_name": "DM Mathematics" }
7. Let g = -2727 - -2725. Let t(h) = 17*h**2 - 2*h + 2. Give g*a(m) + 7*t(m). 19*m**2 Let l(b) = 4*b**3 - 129*b + 5. Let o(q) = -3*q**3 + 132*q - 6. What is -3*l(d) - 2*o(d)? -6*d**3 + 123*d - 3 Suppose 22 - 18 = 5*t + 19. Let h(c) = -672*c**3. Let w(d) = 32*d**3. Calculate t*h(g) - 64*w(g). -32*g**3 Let o(u) = -304*u**3 + 7*u**2 - 8*u - 16. Let k(q) = -q**2 + q + 2. What is 24*k(n) + 3*o(n)? -912*n**3 - 3*n**2 Let y(u) = -2*u**2 + 33*u + 23. Let g(k) = -2*k**2 + 36*k + 18. Give -3*g(n) + 2*y(n). 2*n**2 - 42*n - 8 Let r(l) = 5*l - 4*l**2 + 0*l + 3 + 2*l**2. Let s be (87/(-21) - -4) + 0 + 798/98. Let u(g) = g**2 - 3*g - 2. Calculate s*u(v) + 5*r(v). -2*v**2 + v - 1 Let q(k) = -2225*k - 35. Let u(v) = -1112*v - 14. What is -4*q(a) + 10*u(a)? -2220*a Let z(d) = -130*d - 116. Let y(o) = -26*o - 24. What is 11*y(x) - 2*z(x)? -26*x - 32 Let j(v) be the second derivative of v**5/20 + 3*v**2 - 29*v - 7. Let d(x) = -x**3 + 1. Determine 4*d(c) - j(c). -5*c**3 - 2 Let f(c) = 3*c**2 - 7*c + 5. Let a(j) = 2*j**2 - 6*j + 4. Let k(l) = 28*l - 333. Let n be k(12). Calculate n*f(x) - 4*a(x). x**2 + 3*x - 1 Let r(l) = -6*l**3 - 4*l**2 + 4. Let f(o) be the first derivative of -11*o**4/4 - 7*o**3/3 + o**2/2 + 7*o - 11805. Calculate 4*f(q) - 7*r(q). -2*q**3 + 4*q Let g(i) = -i + 1. Let o(u) = 126 + 15 + 17 + 64*u - 33*u. Let w be o(-5). Let s(v) = 14*v - 2. Calculate w*g(y) + s(y). 11*y + 1 Let o(u) be the third derivative of -u**4/8 - u**3/3 + 93*u**2 - 140. Suppose 4*z - 14 = -2. Let a(k) = 3*k + 2. Give z*o(n) + 2*a(n). -3*n - 2 Let s(j) = 8*j**3 - 7*j**2 + 7*j + 6. Let u(m) = -4*m**3 + 4*m**2 - 4*m - 3. Let k = 1529 + -1533. Let f be ((-1)/2)/((-1)/(-2)) - 6. Give f*u(b) + k*s(b). -4*b**3 - 3 Let o(l) = -3*l**3 + 2*l**2 - 1. Let i(r) = 1727*r**3 + 2198*r**2 - 1099. Determine i(s) - 1099*o(s). 5024*s**3 Let f(h) = 3*h - 2. Suppose 3*j - 1 = -7. Let r(y) be the second derivative of -2*y**3 - y + 361*y**2 - 59 - y - 357*y**2. Calculate j*r(p) - 9*f(p). -3*p + 2 Let w(u) = -2*u**2 + 2*u - 1. Let a = 84 - 92. Let f be 312/117 - 1/(6/a). Let b(r) = -f*r + 3*r + 3*r**2 - 2*r**2 + 1. Determine -3*b(s) - w(s). -s**2 + s - 2 Let v(n) = -12*n**2 + 8*n + 6. Let d(c) be the third derivative of 5*c**5/12 - 17*c**4/24 - 13*c**3/6 - 1194*c**2. Give -6*d(h) - 13*v(h). 6*h**2 - 2*h Let h(k) = 335*k - 116*k - 1188*k - 152. Let n(u) = -19*u - 3. Determine 3*h(v) - 152*n(v). -19*v Let b(h) = 533*h**2 + 21*h - 15. Let y(u) = -176*u**2 - 8*u + 5. What is -3*b(c) - 8*y(c)? -191*c**2 + c + 5 Let j(k) = -k - 5. Let c(d) = d + 13. Let r be c(-8). Suppose 8*m + 88 = 352. Let l(p) = -m + 18 + 14. What is r*l(x) - j(x)? x Suppose -3*k - 7*s = -10*s - 9, 0 = -3*k - 5*s + 1. Let m(a) = a + 1. Let l(b) = 4*b. Calculate k*m(g) + l(g). 6*g + 2 Let v = 8 - 13. Let s(d) = 8*d**3 - d + 5. Let k(b) be the second derivative of 1/20*b**5 + 0 + 34*b + 1/2*b**2 + 0*b**4 + 0*b**3. What is v*k(y) + s(y)? 3*y**3 - y Let o(g) = 3*g**3 - 408*g**2 - 5*g + 60. Let m(u) = -7*u**3 + 814*u**2 + 10*u - 130. Determine -6*m(t) - 13*o(t). 3*t**3 + 420*t**2 + 5*t Let a(j) = j**3 + j**2 + 2*j + 3. Let t(b) = b**3 - b**2 - b - 1. Let y be -4*(34/(-72) - (-104)/468 - 0). What is y*a(i) + 2*t(i)? 3*i**3 - i**2 + 1 Let f be 128/3 + (-4)/6. Let u(x) = x**2 + x + 1. Let o(z) be the second derivative of -2*z**4/3 - 7*z**3/6 - 7*z**2/2 - z + 24579. What is f*u(c) + 6*o(c)? -6*c**2 Let v(j) = 5*j**2. Let c(o) = -20*o**2 - 1. Let b(f) = 2*f**2 - 54*f + 229. Let x be b(22). Calculate x*v(g) + 2*c(g). 5*g**2 - 2 Let t(y) = 2*y + 3. Let i(k) = k - 1. Suppose 70*a + 27 = 43*a. Determine a*t(r) - 3*i(r). -5*r Let y be (900/(-27))/(-20) + (-68)/12. Let r(s) = -s - 1. Let h(i) = -6*i - 6. Calculate y*h(v) + 21*r(v). 3*v + 3 Let n(p) = 521*p**2 + 9*p - 47. Let m(f) = -130*f**2 - 2*f + 11. What is 9*m(j) + 2*n(j)? -128*j**2 + 5 Suppose -3*t + 13*f - 11*f - 5 = 10, 0 = 4*f. Let i(w) = -8*w**3 + 6*w**2 - 5*w - 8. Let d(x) = -8*x**3 + 5*x**2 - 4*x - 7. Determine t*i(p) + 6*d(p). -8*p**3 + p - 2 Let m(y) = -y**2. Let l(i) = 8*i**2 - 8*i. Let j(o) = 10*o**2 - 12*o. Let r(q) = -2*j(q) + 3*l(q). Determine -12*m(b) + 2*r(b). 20*b**2 Suppose 15 = -5*h, 13*h + 3 = 6*y + 8*h. Let v(b) = 181*b + 8. Let c(t) = 45*t + 2. What is y*v(n) + 9*c(n)? 43*n + 2 Let a be (-2)/((-9)/(-2) + -4). Let y(d) = -5*d - 6. Let p(v) = 6*v + 5. What is a*p(o) - 5*y(o)? o + 10 Let t(l) be the third derivative of l**6/60 + 11*l**4/24 + 7*l**3/6 - 4*l**2 - 61. Let h(x) = x**3 + 5*x + 3. Determine -14*h(m) + 6*t(m). -2*m**3 - 4*m Let q(t) = 4070*t + 14. Let p(w) = 1018*w + 3. Give 9*p(s) - 2*q(s). 1022*s - 1 Let v(k) = -k**2 - 98*k + 5. Let r(a) = -37*a + 2. Let u(t) = 8*r(t) - 3*v(t). Let b(g) = -4*g**2 + 2*g - 1. Calculate -6*b(s) - 5*u(s). 9*s**2 - 2*s + 1 Let o(k) = -349*k + 6. Let m(r) = 58972*r - 1012. Calculate -3*m(w) - 506*o(w). -322*w Let y(g) = -35*g**2. Let z(h) = -h**3 + h**2 + 13*h - 13. Let k be z(-4). Let w(m) = 9*m**2. Calculate k*w(s) + 4*y(s). -5*s**2 Let f(b) = 8*b**2 + 3*b + 6. Let l(u) = 5*u**2 + 2*u + 4. Let n = 764 - 757. What is n*l(g) - 5*f(g)? -5*g**2 - g - 2 Let p(m) = -7*m**2 - 2*m - 3. Let i(k) = -k**2. Suppose -24*w + 4*c = -19*w + 9, 2*c - 12 = 4*w. What is w*i(q) + p(q)? -2*q**2 - 2*q - 3 Let k(b) = -33*b - 3. Let y = 11152 + -11155. Let z(t) = -17*t - 2. Calculate y*k(p) + 5*z(p). 14*p - 1 Let r(m) = 14*m**3 + 20*m**2 + 33*m + 10. Let p(q) = -30*q**3 - 43*q**2 - 67*q - 21. What is -6*p(c) - 13*r(c)? -2*c**3 - 2*c**2 - 27*c - 4 Let d(o) = 176*o**2 + 4*o + 4. Let w(k) = -92*k**2 - k - 2. What is 3*d(f) + 5*w(f)? 68*f**2 + 7*f + 2 Let z(q) = 91*q. Suppose 55*h = 66*h - 110. Suppose 0 = -h*f - 513 - 257. Let o(u) = -7*u. Determine f*o(d) - 6*z(d). -7*d Suppose n = -k - 38 + 27, -4*k - 3*n = 41. Let f be (9 + -3)*k/(-48). Let q(t) = t + 1. Let p(g) = -15*g - 12. What is f*p(a) + 12*q(a)? -3*a Let l(x) = -9. Let m = -35868 + 35870. Let c(q) = -q + 8. What is m*c(k) + 3*l(k)? -2*k - 11 Let h(n) = -n + 17. Let c(u) = 3*u - 5958. Determine c(j) + 5*h(j). -2*j - 5873 Let i(y) = -y - 1. Let u be i(-6). Let j(v) = -7*v - 11. Let p(z) = 8*z + 12. Suppose -245*t = -61*t - 1104. Calculate t*j(x) + u*p(x). -2*x - 6 Let g(d) = -3*d + 2. Let z(n) = 7*n - 4. Suppose -3*m - 6*l = 1965, 5*l + 2574 = -4*m - 43. Let f = -649 - m. Determine f*z(i) + 10*g(i). -2*i + 4 Let d(t) be the third derivative of -t**5/6 - t**4/12 + 2766*t**2. Let n(f) = 10*f**2 + 2*f. Calculate 5*d(w) + 6*n(w). 10*w**2 + 2*w Let j(g) = 18*g**2 - 158. Let k(w) = 38*w**2 - 314. Calculate -9*j(o) + 4*k(o). -10*o**2 + 166 Let y(z) = -4*z + 17. Let j(a) = -4*a + 341. Let k be j(84). Let s(v) = 3*v - 16. Determine k*s(x) + 4*y(x). -x - 12 Let z(y) = -32*y**2 - 6*y + 6. Let x(f) = -2*f**2 + 74*f - 146. Let s be x(2). Let r(h) = -32*h**2 - 5*h + 5. What is s*r(d) + 5*z(d)? 32*d**2 Let q(x) = -x - 3. Let i(l) = 19*l + 21. Let d be i(-1). Let n(c) be the first derivative of 2*c + 1/2*c**d + 9. Give 5*n(f) + 3*q(f). 2*f + 1 Let i(k) = -13*k**3 + 8*k**2 - 8*k - 183. Let d(x) = 5*x**3 - 3*x**2 + 3*x + 61. Calculate -8*d(p) - 3*i(p). -p**3 + 61 Let q(h) = 5*h**2 + 33*h + 8. Let b(u) = -20*u**2 - 133*u - 34. What is -2*b(z) - 9*q(z)? -5*z**2 - 31*z - 4 Let x(d) = -15*d + 89. Let t(v) = -15*v + 92. Determine 2*t(g) - 3*x(g). 15*g - 83 Let p(q) = -1625*q + 48. Let n(u) = -4874*u + 136. Determine 6*n(t) - 17*p(t). -1619*t Let u(d) = -1. Let h(t) = -2*t - 3. Let w(r) = r**2 + 8*r - 62. Let i be w(-13). Let n(c) = 7*c - 17. Let x be n(i). Give x*u(a) - h(a). 2*a - 1 Let y(u) = 20*u**3 + 10*u**2 - 67*u - 6. Let w(v) = -9*v**3 - 4*v**2 + 33*v + 3. Calculate -9*w(m) - 4*y(m). m**3 - 4*m**2 - 29*m - 3 Let b(n) = -2*n**2 + n - 4. Let w(u) = -2*u**2 + 75*u + 4. Let v(j) = -j**2 + 56*j + 4. Let o(p) = 4*v(p) - 3*w(p). Give -5*b(a) - 4*o(a). 2*a**2 - a + 4 Let v(p) = 5*p**2 + 172*p - 28. Let o(q) = -35*q. Let n(i) = -5*o(i) - v(i). Let c(d) = -4*d**2 + 2*d + 27. Give -3*c(g) + 2*n(g). 2*g**2 - 25 Let x(o) = 11*o**3 - 2. Let p(t) = 34*t**3 + 15572*t**2 - 15572*t**2 + 1 - 6. Determine -3*p(a) + 8*x(a). -14*a**3 - 1 Suppose -14 + 34 = -4*u. Let r = 1480 - 1468. Let p(b) = -3*b**3 + 5*b**2 + 4*b - 5. Let i(n) = -8*n**3 + 12*n**2 + 10*n - 12. Calculate r*p(c) + u*i(c). 4*c**3 - 2*c Let m(u) = -3951*u**3 - 9219*u**2
{ "pile_set_name": "DM Mathematics" }
-5)))**(-4))**11 assuming r is positive. r**(-220) Simplify ((l/(l**(-19)*l))/l)/l**(-5) assuming l is positive. l**23 Simplify v*v**(-3)*v**(-6/11)*((v*v*(v/(v/(v**(1/5)/v*v)))/v*v)/v)/((v**(5/6)/v)/v) assuming v is positive. v**(-59/330) Simplify (w**(-6/11)*w**(-5))**(-45) assuming w is positive. w**(2745/11) Simplify (z*z**(1/6)*z*z**(-2/3))/(z**(2/5)*z*z)**43 assuming z is positive. z**(-1017/10) Simplify (b**(1/4))**(1/15) assuming b is positive. b**(1/60) Simplify ((n**0/n)**(4/15))**(-14) assuming n is positive. n**(56/15) Simplify (m**(-5)/m)/m**(-5/2) assuming m is positive. m**(-7/2) Simplify (j*j**(7/5)*j)**(-2/57) assuming j is positive. j**(-34/285) Simplify n**(-29)*n**(1/18)*n assuming n is positive. n**(-503/18) Simplify (w**(-2/5)/(w**(2/3)*w))**(13/4) assuming w is positive. w**(-403/60) Simplify (z/(z**(-2/3)/z))**(-6/13)/(z*z**(2/5))**28 assuming z is positive. z**(-2628/65) Simplify (((b**(3/5)*b)/b*b)/b**4)/(b**2)**(-11) assuming b is positive. b**(98/5) Simplify k*k**4*k*(k/(k**(-6/7)*k))/k*k*k*k*((((k/(k/((k**(3/2)/k)/k)*k))/k)/k)/k*k)/k*k*k*k/(k*k/k**3*k) assuming k is positive. k**(103/14) Simplify b*b**(-3)*b*b**(-1/4)*b assuming b is positive. b**(-1/4) Simplify c**(-1/22)/(c*c**(-4/5)*c*c) assuming c is positive. c**(-247/110) Simplify k**(-1/2)/((k/k**(-10))/k) assuming k is positive. k**(-21/2) Simplify q**(-7/5)/(q/(q*q*q**(-20)*q*q)*q*q) assuming q is positive. q**(-102/5) Simplify (l**(-2)/((l**(-1)*l)/l))/(l**3*l/(l/(l**(-2/21)*l*l))) assuming l is positive. l**(-124/21) Simplify (w/(w*w/(w*w**2)))**(-7/5)/(w*w*w*w*(w*w/(w*w/(w*w**(2/9)/w)))/w)**(-7/4) assuming w is positive. w**(511/180) Simplify (((y**(-2/3)/y)/y)/y)**(-15)/(y**(-4/3)*y*y**7) assuming y is positive. y**(145/3) Simplify r**1/(r/(r*r**(-2/15)*r)) assuming r is positive. r**(28/15) Simplify ((t*t/((t/(t**(2/11)/t))/t)*t)/(t*t**1))/((t*t*t**(-1/6)*t)/t**(-1)) assuming t is positive. t**(-241/66) Simplify (z**6/(z*z**6))/(z**(-1/2)*z/((z*z*z**(2/9)/z)/z)) assuming z is positive. z**(-23/18) Simplify n**15/(n/(n**(-24)/n*n)) assuming n is positive. n**(-10) Simplify (u/(u/(u/u**(-2/11))))/((u*u**(-2/13))/u) assuming u is positive. u**(191/143) Simplify ((m/m**(-2/5))**(-15/4))**12 assuming m is positive. m**(-63) Simplify i**(-1)*i**4 assuming i is positive. i**3 Simplify ((g**(2/17)*g)/(((g/g**(-1/9))/g)/g*g))/(g**(-2)/(g/(g**(-3)/g))) assuming g is positive. g**(1225/153) Simplify n/((n*n**(-9))/n)*n*n**14*n*n assuming n is positive. n**27 Simplify s**(-5/3)*s**48/s assuming s is positive. s**(136/3) Simplify (((p/((p*p/p**(1/6))/p))/p)/p)**(-2/7) assuming p is positive. p**(11/21) Simplify (((g**(-1/2)/g)/g)**(2/57))**23 assuming g is positive. g**(-115/57) Simplify ((i/(i/(i/(i*i**(3/28))*i)*i))/i*i*i)**(-49) assuming i is positive. i**(-175/4) Simplify (b*b**(-20)*b)/(b/(b*b**(-6))) assuming b is positive. b**(-24) Simplify i**(-7)/i**(2/25) assuming i is positive. i**(-177/25) Simplify (p**0/(p**(3/2)/p))**35 assuming p is positive. p**(-35/2) Simplify y**(-9/7)/(y*y**(2/23)) assuming y is positive. y**(-382/161) Simplify k**(-2)*k*k**(-10/7) assuming k is positive. k**(-17/7) Simplify y**14/y**(-1) assuming y is positive. y**15 Simplify ((h*h*h**(3/4))/(h*h**(-2/3)))**20 assuming h is positive. h**(145/3) Simplify (p**(-12)*p)/p**(-24) assuming p is positive. p**13 Simplify (h**(-2/5)*h)**(-5)*(h**(2/17)*h)/(h*h**11) assuming h is positive. h**(-236/17) Simplify ((r/(r/(r*r/(r/r**(2/65)))))/r)/(r/(r*r/(r*r*r*r*r**(-7/2)))) assuming r is positive. r**(69/130) Simplify (q*q**5*q*q/q**(-1/3)*q*q)/(q*q/(q*q/(q/((q/(q/(q**1/q)))/q)))*q)**(7/9) assuming q is positive. q**8 Simplify q*q/q**(-3/5)*q*q**(-1/7) assuming q is positive. q**(121/35) Simplify (h**(1/6)/h*h)**(-2/111) assuming h is positive. h**(-1/333) Simplify (x**(2/3)*x**(3/7))/(x/((x*x**(-6))/x*x)*x*x*x/(x/(x**(-1/2)*x))*x) assuming x is positive. x**(-353/42) Simplify (h**2/h**(-2))/((h/h**(-3))/h*h/h**(-2/9)*h) assuming h is positive. h**(-11/9) Simplify (p**(2/3)*p**(-3))**(-27) assuming p is positive. p**63 Simplify l**(1/3)*l**(-5)*l**(2/5)*l*l**5 assuming l is positive. l**(26/15) Simplify u**(-3/2)*u/(u/u**(-6))*u**(1/6)*u*u**(-2)*u assuming u is positive. u**(-22/3) Simplify (n**(-1))**(-18)*(n*n**(2/5))**(-25) assuming n is positive. n**(-17) Simplify (((f**2/f)/f*f)**(4/13))**(-42) assuming f is positive. f**(-168/13) Simplify (x/(((x*x**(-7/5)*x)/x*x)/x)*x**2)/(x*(x/((x/x**(1/3))/x))/x)**(-4) assuming x is positive. x**(131/15) Simplify (x*(x/((x**(6/13)/x)/x))/x)/(x*x**(-12)*x) assuming x is positive. x**(163/13) Simplify (n/(n*n**(1/5)))/(((n**(5/7)*n)/n)/n)*n**(-4/9)*n*n*n**(2/5) assuming n is positive. n**(643/315) Simplify (m/(m**11*m))/((m*m**(-2/33))/m) assuming m is positive. m**(-361/33) Simplify s/(s**15*s)*s**(-1/4) assuming s is positive. s**(-61/4) Simplify ((y/y**3)/y*y**(1/11))**(-1/7) assuming y is positive. y**(32/77) Simplify z**(-1/5)*z/((z/z**1)/z) assuming z is positive. z**(9/5) Simplify ((m*(m*m**6)/m)/m)/(m/((m*m**6)/m))*(m/m**(3/4))/m**(1/5) assuming m is positive. m**(221/20) Simplify (d**(1/5)*d*d/((d/(d**(-1/4)*d))/d))/((((d*d**7)/d)/d)/(d**(-1/3)/d)) assuming d is positive. d**(-263/60) Simplify j*j/j**(-7)*j*j/(j*j/j**15) assuming j is positive. j**24 Simplify ((d*d**(-1/70))/d)/((d/(d/d**(-2/147)*d))/d) assuming d is positive. d**(2939/1470) Simplify (m**0/m)/m**(-8/9) assuming m is positive. m**(-1/9) Simplify (d**(-4))**(-12) assuming d is positive. d**48 Simplify n**(-11/6)*n*n/(n/n**(2/27)*n)*n assuming n is positive. n**(-41/54) Simplify (((g*g**(1/2))/g)/g)**26*(g**0)**39 assuming g is positive. g**(-13) Simplify k/(k*k*k*k/(k/k**(-2/5))*k)*k**(-5/3)/k*(k*k**(-1/4))/(k**(-2)/k*k) assuming k is positive. k**(-151/60) Simplify (i*i**(2/29)*i)/(i*i**3) assuming i is positive. i**(-56/29) Simplify ((t*t**(-2/3)/t*t)/t*t)**(3/8)*(t/(t**(-1/2)/t*t))**40 assuming t is positive. t**(481/8) Simplify w/w**(1/4)*w**1*w*w/(w/(w/(w/(w*w*w**(-3/7)/w*w))))*w/(w*w*(w/(w/w**(3/8)))/w*w*w) assuming w is positive. w**(109/56) Simplify ((q**(1/10)/q)/q*q**(-3))**34 assuming q is positive. q**(-833/5) Simplify (m**(-5))**19 assuming m is positive. m**(-95) Simplify ((w/w**(-1/3))/w)**(-10)*w*w/((w/(w*(w*w**(-2/27))/w))/w)*w**9 assuming w is positive. w**(232/27) Simplify z/(z/(z*z/(z*z*z*((z/z**(10/7))/z)/z*z*z)*z)*z)*z*z/z**(2/15)*z assuming z is positive. z**(241/105) Simplify ((o/(o/(o**(2/5)/o)))**(1/4))**32 assuming o is positive. o**(-24/5) Simplify (z*z**(-1))**(-2)*(z/(z/(z*z**2/z)*z))/z*z*z*z*z/z**(-1/2) assuming z is positive. z**(9/2) Simplify (z**(-4/7)*z)**45 assuming z is positive. z**(135/7) Simplify (n**(1/9)/(n**2*n))/(n**(-2/3))**21 assuming n is positive. n**(100/9) Simplify ((((w*w*w/w**(-2/9))/w)/w)/w*w/(w/(w*w**4)))/((w/(w*w*w**(-2)))/w*w**(-1/4)) assuming w is positive. w**(197/36) Simplify u**(-32)*u**(6/7) assuming u is positive. u**(-218/7) Simplify (u**2)**(-13) assuming u is positive. u**(-26) Simplify (w*w/w**(1/6))/(w/(w/w**8)*w) assuming w is positive. w**(-43/6) Simplify ((c/c**0)/c*c)**(-36) assuming c is positive. c**(-36) Simplify c**(-3/13)/c**(-25) assuming c is positive. c**(322/13) Simplify z**28/(z*z/(z/z**(-4/3))) assuming z is positive. z**(85/3) Simplify ((q*q/q**(1/9))/(q/(q*q**(-5)/q*q)))**24 assuming q is positive. q**(-224/3) Simplify (g*g/g**(-1))**(-13)/(g**8/(g*g**(-2/17)/g*g)) assuming g is positive. g**(-784/17) Simplify k**(24/5)/k**(-20/9) assuming k is positive. k**(316/45) Simplify u*u**9/u*u**5*u*u**(-4)*u*u**(2/5) assuming u is positive. u**(62/5) Simplify ((m/(m/(m*m**(-2)*m*m*m)))**(2/15))**(-26) assuming m is positive. m**(-104/15) Simplify ((o**(-2/3))**44)**(-3/7) assuming o is positive. o**(88/7) Simplify z*z**(-4)*(z/z**5)/z*(z**2)**14 assuming z is positive. z**20 Simplify (b**(-7)*b**4*b*b)**(2/85) assuming b is positive. b**(-2/85) Simplify ((((((z*z/z**(-5)*z)/z)/z)/z)/z)/(z/(((z/z**(4/5))/z*z)/z)))/((z**(2/3)*z*z)/(((z/(z/(z*(z**(-5)*z)/z*z)))/z)/z)) assuming z is positive. z**(-82/15) Simplify (r*r**1)**(7/2)/(r/r**(2/9)*r**(-6)) assuming r is positive. r**(110/9) Simplify t**(-6/13)*t**7*(t*t**(-1/2)*t)**(18/5) assuming t is positive. t**(776/65) Simplify ((b*(b**(1/4)/b)/b)/b)**
{ "pile_set_name": "DM Mathematics" }