text
stringlengths 518
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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"
} |
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