text
stringlengths 270
8.19k
| meta
dict |
---|---|
oes 4 divide 22036?
True
Is 76 a factor of 8284?
True
Is 6530 a multiple of 5?
True
Does 7 divide 560?
True
Is 76 a factor of 2302?
False
Does 14 divide 252?
True
Does 15 divide 675?
True
Does 36 divide 693?
False
Is 3720 a multiple of 124?
True
Does 8 divide 23873?
False
Is 43 a factor of 2150?
True
Does 7 divide 317?
False
Is 42151 a multiple of 61?
True
Is 2146 a multiple of 3?
False
Does 13 divide 10738?
True
Is 6 a factor of 870?
True
Does 4 divide 744?
True
Is 10645 a multiple of 69?
False
Is 72 a multiple of 34?
False
Is 6 a factor of 222?
True
Does 14 divide 14?
True
Is 7 a factor of 1399?
False
Is 64 a factor of 29806?
False
Is 200 a factor of 26200?
True
Is 2 a factor of 147?
False
Does 24 divide 21029?
False
Is 6 a factor of 228?
True
Is 9 a factor of 31482?
True
Is 45 a factor of 640?
False
Is 25 a factor of 14100?
True
Is 2389 a multiple of 15?
False
Is 10094 a multiple of 100?
False
Is 144 a factor of 66672?
True
Is 65776 a multiple of 16?
True
Is 7 a factor of 756?
True
Does 14 divide 196?
True
Does 29 divide 7366?
True
Is 7 a factor of 3307?
False
Does 29 divide 26477?
True
Does 132 divide 3168?
True
Does 107 divide 3586?
False
Is 182 a multiple of 2?
True
Is 10 a factor of 33590?
True
Is 73305 a multiple of 148?
False
Is 25 a factor of 200?
True
Is 99 a factor of 693?
True
Is 58 a factor of 1921?
False
Is 81 a factor of 1685?
False
Is 56962 a multiple of 12?
False
Is 23 a factor of 276?
True
Is 3950 a multiple of 30?
False
Does 19 divide 2186?
False
Does 218 divide 56331?
False
Is 70 a multiple of 14?
True
Is 46 a factor of 79810?
True
Is 34 a factor of 7888?
True
Is 29580 a multiple of 17?
True
Is 53 a factor of 12508?
True
Is 236 a factor of 45188?
False
Is 13020 a multiple of 84?
True
Is 99 a factor of 680?
False
Is 4581 a multiple of 9?
True
Is 38 a factor of 12312?
True
Does 2 divide 4055?
False
Is 215 a factor of 102268?
False
Is 1066 a multiple of 9?
False
Does 3 divide 1521?
True
Does 16 divide 23952?
True
Is 10 a factor of 30567?
False
Is 2961 a multiple of 2?
False
Is 4778 a multiple of 5?
False
Is 10 a factor of 7970?
True
Does 117 divide 56277?
True
Is 18506 a multiple of 6?
False
Is 290 a multiple of 33?
False
Is 34 a multiple of 23?
False
Is 30 a factor of 2010?
True
Is 329 a multiple of 7?
True
Does 21 divide 546?
True
Does 14 divide 1926?
False
Is 22 a factor of 3146?
True
Does 53 divide 3053?
False
Does 60 divide 2311?
False
Is 19760 a multiple of 38?
True
Is 12 a factor of 658?
False
Is 78384 a multiple of 16?
True
Is 42423 a multiple of 79?
True
Does 44 divide 4192?
False
Is 2788 a multiple of 17?
True
Is 142 even?
True
Is 5 a factor of 220?
True
Is 71422 a multiple of 67?
True
Does 47 divide 3981?
False
Does 42 divide 4362?
False
Is 29 a factor of 39353?
True
Is 828 a multiple of 36?
True
Does 41 divide 615?
True
Does 32 divide 436?
False
Is 5814 a multiple of 102?
True
Is 4779 a multiple of 27?
True
Does 31 divide 6078?
False
Is 224 a factor of 6631?
False
Does 171 divide 3933?
True
Does 17 divide 527?
True
Is 102 a factor of 385?
False
Is 13908 a multiple of 19?
True
Is 26 a factor of 25717?
False
Is 92 a factor of 21252?
True
Is 97548 a multiple of 12?
True
Is 226 even?
True
Is 12 a factor of 18564?
True
Is 2009 a multiple of 30?
False
Is 62 a factor of 868?
True
Is 1051 even?
False
Is 3510 a multiple of 26?
True
Is 257 a multiple of 11?
False
Is 31 a factor of 1083?
False
Is 7390 a multiple of 19?
False
Is 120 a multiple of 6?
True
Does 159 divide 7791?
True
Does 15 divide 45315?
True
Is 1935 a multiple of 24?
False
Is 83129 a multiple of 97?
True
Is 7 a factor of 22974?
True
Is 20234 a multiple of 67?
True
Does 9 divide 1404?
True
Is 167 a factor of 9185?
True
Does 13 divide 163?
False
Is 30 a factor of 2097?
False
Is 13 a factor of 5792?
False
Is 2060 a multiple of 77?
False
Does 13 divide 1209?
True
Is 1703 a multiple of 30?
False
Is 24574 a multiple of 11?
True
Is 285 a multiple of 4?
False
Does 14 divide 4830?
True
Is 2 a factor of 979?
False
Is 42 a multiple of 14?
True
Is 2867 a multiple of 33?
False
Is 42705 a multiple of 15?
True
Is 40 a factor of 2800?
True
Is 4225 a multiple of 25?
True
Is 5 a factor of 5230?
True
Is 13 a factor of 767?
True
Is 25691 a multiple of 23?
True
Does 7 divide 676?
False
Is 11 a factor of 880?
True
Is 38 a factor of 15221?
False
Is 82497 a multiple of 257?
True
Is 2 a factor of 175?
False
Is 18557 a multiple of 7?
True
Is 2442 a multiple of 14?
False
Does 6 divide 567?
False
Is 11 a factor of 426?
False
Is 17 a factor of 3723?
True
Is 85727 a multiple of 59?
True
Does 48 divide 4848?
True
Is 7 a factor of 154?
True
Does 6 divide 88?
False
Is 94671 a multiple of 201?
True
Is 5928 a multiple of 13?
True
Does 17 divide 11254?
True
Is 42957 a multiple of 129?
True
Does 71 divide 5822?
True
Does 3 divide 387?
True
Does 61 divide 12923?
False
Is 150 a factor of 44700?
True
Is 495 a multiple of 59?
False
Does 36 divide 4522?
False
Is 7218 a multiple of 9?
True
Is 7 a factor of 1556?
False
Is 12 a factor of 1344?
True
Does 14 divide 1400?
True
Does 159 divide 76320?
True
Is 8 a factor of 230?
False
Is 14 a factor of 2821?
False
Is 3270 a multiple of 15?
True
Does 16 divide 4736?
True
Does 33 divide 1584?
True
Is 96707 a multiple of 13?
True
Is 96 a factor of 10976?
False
Does 30 divide 1950?
True
Is 2764 a multiple of 112?
False
Is 59 a factor of 98296?
False
Is 6 a factor of 417?
False
Is 960 a multiple of 12?
True
Does 15 divide 9568?
False
Is 6730 a multiple of 10?
True
Does 212 divide 18020?
True
Is 1449 a multiple of 23?
True
Is 22 a factor of 1254?
True
Is 15 a factor of 4095?
True
Is 68 a multiple of 26?
False
Is 62419 a multiple of 37?
True
Is 13995 a multiple of 2?
False
Is 12 a factor of 13032?
True
Is 37 a factor of 148?
True
Is 8 a factor of 1368?
True
Is 1502 a multiple of 18?
False
Does 39 divide 4095?
True
Is 30 a factor of 3660?
True
Does 12 divide 2044?
False
Is 89617 a multiple of 193?
False
Is 37926 a multiple of 49?
True
Is 13 a factor of 2598?
False
Is 17 a factor of 1054?
True
Is 1153 a multiple of 3?
False
Is 71183 a multiple of 68?
False
Does 13 divide 695?
False
Is 41358 a multiple of 61?
True
Does 73 divide 1825?
True
Does 7 divide 315?
True
Is 40 a factor of 3823?
False
Does 6 divide 21507?
False
Is 24 a factor of 11881?
False
Is 7985 a multiple of 20?
False
Is 424 a multiple of 33?
False
Is 33 a factor of 1185?
False
Is 2468 a multiple of 60?
False
Is 721 a multiple of 7?
True
Is 283 a multiple of 10?
False
Does 3 divide 137?
False
Is 259 a multiple of 19?
False
Does 23 divide 224?
False
Is 10 a factor of 666?
False
Does 149 divide 1490?
True
Is 31 a factor of 1375?
False
Does 42 divide 3562?
False
Is 494 a multiple of 13?
True
Does 78 divide 34663?
False
Is 4634 a multiple of 11?
False
Does 21 divide 1186?
False
Is 14 a factor of 182?
True
Is 23220 a multiple of 180?
True
Is 4160 a multiple of 80?
True
Is 352 a multiple of 8?
True
Is 7 a factor of 672?
True
Does 23 divide 70932?
True
Is 257 a factor of 10794?
True
Is 4 a factor of 13676?
True
Is 4 a factor of 453?
False
Is 30 a factor of 4378?
False
Is 46 a factor of 14845?
False
Does 4 divide 507?
False
Is 8 a factor of 3064?
True
Is 4 a factor of 5018?
False
Does 11 divide 1681?
False
Is 14 a factor of 70?
True
Is 49 a factor of 2695?
True
Is 758 a multiple of 15?
False
Does 7 divide 6560?
False
Is 1140 a multiple of 38?
True
Does 44 divide 15664?
True
Is 1549 a multiple of 27?
False
Is 13493 a multiple of 131?
True
Is 7 a factor of 161?
True
Does 34 divide 15776?
True
Does 7 divide 245?
True
Is 4 a factor of 1112?
True
Is 26640 a multiple of 74?
True
Is 60 a factor of 1080?
True
Is 3 a factor of 680?
False
Is 186 a factor of 43186?
False
Is 21275 a multiple of 8?
False
Does 3 divide 10143?
True
Is 4529 a multiple of 2?
False
Is 32 a factor of 474?
False
Is 2184 a multiple of 28?
True
Is 9 a factor of 1133?
False
Is 7 a factor of 827?
False
Is 1830 a multiple of 29?
False
Is 147435 a multiple of 16?
False
Is 4620 a multiple of 110?
True
Is 34 a factor of 1632?
True
Is 23 a factor of 995?
False
Is 17 a factor of 2370?
False
Is 8 a factor of 436?
False
Is 705 a multiple of 48?
False
Is 23820 a multiple of 15?
True
Is 27904 a multiple of 218?
True
Is 8460 a multiple of 60?
True
Is 23 a facto
|
{
"pile_set_name": "DM Mathematics"
}
|
- -35a?
-1039
In base 9, what is 165271 - -3?
165274
In base 11, what is -25471 - -4?
-25468
In base 2, what is -101 + 10100100101000010111?
10100100101000010010
In base 13, what is b5 + c71?
1056
In base 15, what is 2 + 2ee0?
2ee2
In base 9, what is -207 + -8655?
-8863
In base 4, what is -3013010 + -3?
-3013013
In base 15, what is -4 + 306d?
3069
In base 12, what is 293 - 351?
-7a
In base 3, what is 12 - 2221221201?
-2221221112
In base 2, what is 100011011100000010 + 11?
100011011100000101
In base 13, what is 16017 - 3?
16014
In base 5, what is 240144230 - 1?
240144224
In base 5, what is -102 - 100431?
-101033
In base 9, what is -34 - -20768?
20734
In base 8, what is -6514610 - 5?
-6514615
In base 16, what is 9b2 + 1d8?
b8a
In base 5, what is -230132 - 12?
-230144
In base 5, what is 140110 + 2?
140112
In base 7, what is 13 - -21330?
21343
In base 13, what is -3 - -33cb56?
33cb53
In base 7, what is -12404111 - 3?
-12404114
In base 9, what is -4 + -77582?
-77586
In base 9, what is 222 + -1033?
-711
In base 4, what is -21 - -12031331?
12031310
In base 6, what is 551503 + -1?
551502
In base 2, what is -11110001011 + 10000101?
-11100000110
In base 14, what is 4 + 205da9?
205dad
In base 7, what is 423216 - 5?
423211
In base 3, what is 120 - -2110002011?
2110002201
In base 15, what is -9d + 9785?
96d7
In base 10, what is 257 - -3132?
3389
In base 15, what is -d1e - -e?
-d10
In base 6, what is 254440 + 5?
254445
In base 5, what is 30 - -12100021?
12100101
In base 13, what is -3 - -2874?
2871
In base 7, what is -4 - -10411552?
10411545
In base 16, what is 5 + 68919?
6891e
In base 11, what is 12a4 + 2743?
3a37
In base 6, what is -115 + 133320?
133201
In base 11, what is 1 - -168531?
168532
In base 4, what is -2231332 - 3020?
-2301012
In base 2, what is 100100100 - -10100100101111?
10101001010011
In base 13, what is -39 + -11ac?
-1218
In base 4, what is 10 - 333121012?
-333121002
In base 10, what is -1 + -1158721?
-1158722
In base 4, what is 211 + -101132?
-100321
In base 10, what is 32289 + 4?
32293
In base 6, what is 12313 - -1151?
13504
In base 16, what is -11dc + 227?
-fb5
In base 11, what is 6 - -56510?
56516
In base 15, what is 10468 + 35?
1049d
In base 15, what is 53b - -11?
54c
In base 14, what is 14d4 + 66?
155a
In base 5, what is -14 - -24303?
24234
In base 11, what is -4048 + -51?
-4099
In base 6, what is -4 - -14334?
14330
In base 8, what is 312715 + 2?
312717
In base 4, what is 322 - -1231?
2213
In base 15, what is 135d + e?
136c
In base 13, what is a33 - -aa?
b10
In base 3, what is 10102001202 + 20?
10102001222
In base 13, what is -652 + -ac?
-731
In base 13, what is 4 + -6957b?
-69577
In base 8, what is 5 - 3425?
-3420
In base 4, what is -12220 + 112?
-12102
In base 6, what is 154521 - 20?
154501
In base 10, what is -99 + 3496?
3397
In base 11, what is -3528 - -2a?
-34a9
In base 16, what is a5 - 8dd?
-838
In base 5, what is -14 - 24223?
-24242
In base 2, what is -11010001100011001110 + 11?
-11010001100011001011
In base 4, what is 31202 - 2213?
22323
In base 12, what is -349 - -13a9?
1060
In base 6, what is 5054 - 545?
4105
In base 12, what is 3328 - -5?
3331
In base 5, what is -1311144 + 14?
-1311130
In base 3, what is 0 - -12011211211?
12011211211
In base 4, what is -120102212 + 10?
-120102202
In base 13, what is -115c4 - -1b?
-115a6
In base 5, what is -2 - -30103131?
30103124
In base 7, what is 524 - 5240?
-4413
In base 13, what is 25 + b8c?
bb4
In base 13, what is -17443a8 + -3?
-17443ab
In base 16, what is 5ab + -2b?
580
In base 2, what is 1011010010101111010 + 0?
1011010010101111010
In base 7, what is -5 - -125631?
125623
In base 16, what is -29 + -143e?
-1467
In base 7, what is 206 + 1050?
1256
In base 11, what is 28 + 25112?
2513a
In base 3, what is 1020220020 - 1211?
1020211102
In base 2, what is -11010100001010011111 + 0?
-11010100001010011111
In base 12, what is 31201 - 0?
31201
In base 6, what is -1414 + 5?
-1405
In base 13, what is b2 - a48?
-966
In base 16, what is -10b - cc?
-1d7
In base 9, what is -5 - 14426?
-14432
In base 16, what is e3 - -cc?
1af
In base 15, what is 1b53c - -3?
1b540
In base 7, what is 2 - 5413101?
-5413066
In base 6, what is -2443 - -41?
-2402
In base 7, what is 165215 - 2?
165213
In base 13, what is 0 + 28875?
28875
In base 15, what is -48a2 - 9b?
-494d
In base 3, what is 2 + 22201200201?
22201200210
In base 10, what is 55 - 193?
-138
In base 11, what is -302 + -191?
-493
In base 13, what is -3 + 9176a?
91767
In base 16, what is -517 + -3?
-51a
In base 16, what is e2f - 5?
e2a
In base 2, what is 1111000010101 - -1100?
1111000100001
In base 4, what is -201132120 + -3?
-201132123
In base 15, what is 2 - 63ac3?
-63ac1
In base 7, what is -3 + -354341?
-354344
In base 12, what is -9 + -2319?
-2326
In base 16, what is 7c9d0 - 0?
7c9d0
In base 6, what is -32 + -24210?
-24242
In base 4, what is 0 - -22023112?
22023112
In base 9, what is 3 + 20674?
20677
In base 10, what is -1 - -7615?
7614
In base 8, what is 3 + -16360?
-16355
In base 8, what is 606 + 7414?
10222
In base 2, what is 100 - 1110000111010?
-1110000110110
In base 2, what is 101010001000010000 + 101?
101010001000010101
In base 3, what is -12111 - 210220210?
-211010021
In base 3, what is -1012211212001 - -2?
-1012211211222
In base 8, what is -6 - -21162?
21154
In base 2, what is -1101 - 1100011011110001?
-1100011011111110
In base 6, what is 1424 - -11433?
13301
In base 4, what is 3211 + 1010110?
1013321
In base 7, what is -1626 + 2611?
652
In base 5, what is 203014 + 3421?
211440
In base 12, what is 53 - -783?
816
In base 16, what is 3ce - 3fb?
-2d
In base 2, what is 10010111010010100 - 1?
10010111010010011
In base 14, what is -126c + -2d?
-129b
In base 4, what is -2131331 - 0?
-2131331
In base 15, what is 13ab4 - 4?
13ab0
In base 10, what is -1 - -713525?
713524
In base 10, what is -30378 + -17?
-30395
In base 11, what is -139 - 348?
-486
In base 6, what is 5213 - -3551?
13204
In base 4, what is -10 - -1311032022?
1311032012
In base 7, what is -345244 + 1?
-345243
In base 2, what is -1100011111111100 - 101?
-1100100000000001
In base 12, what is -2 + -71b56?
-71b58
In base 16, what is -6 - 3d98?
-3d9e
In base 4, what is 1303022203 + -3?
1303022200
In base 3, what is 21 + 11012201110?
11012201201
In base 2, what is -1 + -100000011010101001?
-100000011010101010
In base 7, what is 15144056 - -3?
15144062
In base 16, what is 238 + -54?
1e4
In base 9, what is -260 - 743?
-1113
In base 12, what is -1 - 362624?
-362625
In base 5, what is -2043 - 1433?
-4031
In base 10, what is -6 + -135282?
-135288
In base 4, what is -211103 + -1303?
-213012
In base 13, what is -538 + -13?
-54b
In base 14, what is -41 - -1d8?
197
In base 11, what is -2516 - a2?
-2608
In base 16, what is 9edd + -4e?
9e8f
In base 9, what is -18880 + 134?
-18745
In base 14, what is 2972 + 2?
2974
In base 14, what is aa63 - a?
aa57
In base 14, what is -4 - -231ad?
231a9
In base 7, what is 1 - 564242?
-564241
In base 3, what is -11 - -12010202110?
12010202022
In base 10, what is 20 - -63?
83
In base 14, what is -208 + -24?
-22c
In base 10, what is 1 + 17820?
17821
In base 14, what is b - c21?
-c14
In base 12, what is -6a492 + -3?
-6a495
In base 3, what is 2 + 2020002022?
2020002101
In base 4, what is 1 - -12022230?
12022231
In base 8, what is -423167 - -3?
-423164
In base 16, what is -2 - -f1e3?
f1e1
In base 16, what is 8aa - a?
8a0
In base 11, what is -5 - -13938?
13933
In base 9, what is 22524113 - -3?
22524116
In base 5, what is -111120033 + -2?
-111120040
In base 13, what is 82 - -c31?
cb3
In base 12, what is -4 + 26a459?
26a455
In base 12, what is 3a79 - 4?
3a75
In base 12, what is 2a70 + 79?
2b29
In base 8, what is -14 + 402?
366
In base 6, what is 0 + 300514?
300514
In base 8, what is -3065 + -31?
-3116
In base 4, what is 13121 + -1232?
11223
In base 7, what is -26 + -1503665?
-1504024
In base 5, what is 0 + -14340?
-14340
In base 2, what is 1 - 1010010000001?
-1010010000000
In base 2, what is 101100110 + 10110110?
1000011100
In base 4, what is 1 + 12023032302?
12023032303
In base 10, what is -6092 - -25?
-6067
In base 6, what is -52 - 3352?
-3444
In base 6, what is 123 - -5500?
10023
In base 5, what is -11122 - 1400?
-13022
In base 10, what is -2607 - -4?
-2603
In base 10, what is 1
|
{
"pile_set_name": "DM Mathematics"
}
|
from {v: 4, b: 7, y: 7}. What is prob of sequence bbv?
7/204
Four letters picked without replacement from dnekkdelledplelekddl. Give prob of sequence depl.
25/23256
What is prob of sequence cyy when three letters picked without replacement from byklyykkckkbyylyb?
1/136
Two letters picked without replacement from {g: 1, f: 2, y: 6, c: 1, r: 2}. What is prob of sequence yc?
1/22
Four letters picked without replacement from xfoofff. What is prob of sequence fxff?
1/35
Three letters picked without replacement from {d: 2, u: 3, t: 3}. What is prob of sequence utt?
3/56
Three letters picked without replacement from {a: 1, m: 3, u: 4, c: 2, q: 4, i: 1}. What is prob of sequence cma?
1/455
What is prob of sequence ct when two letters picked without replacement from rtrcr?
1/20
Two letters picked without replacement from {k: 3, f: 2, m: 1, u: 1, a: 7}. Give prob of sequence mf.
1/91
What is prob of sequence jggg when four letters picked without replacement from sjsgjjggg?
1/42
Three letters picked without replacement from {e: 2, s: 1, l: 2}. Give prob of sequence esl.
1/15
Calculate prob of sequence fgx when three letters picked without replacement from {v: 2, g: 3, x: 1, d: 2, s: 1, f: 3}.
3/440
Calculate prob of sequence gpr when three letters picked without replacement from {r: 1, g: 9, k: 1, e: 5, p: 2}.
1/272
What is prob of sequence tfh when three letters picked without replacement from {f: 5, t: 2, h: 10, g: 3}?
5/342
Calculate prob of sequence jj when two letters picked without replacement from roaoioaapprjrpo.
0
Calculate prob of sequence mz when two letters picked without replacement from zzzmmnmnzmnmnnm.
4/35
Two letters picked without replacement from vccvnccvvvcvccccc. What is prob of sequence cc?
45/136
Two letters picked without replacement from {k: 4, z: 1, u: 2}. Give prob of sequence kz.
2/21
What is prob of sequence vf when two letters picked without replacement from {v: 4, p: 3, f: 4, n: 1, g: 2}?
8/91
Four letters picked without replacement from {l: 4, r: 4, n: 12}. Give prob of sequence nrln.
88/4845
Two letters picked without replacement from {t: 4, i: 2, w: 10, c: 1}. Give prob of sequence ci.
1/136
Two letters picked without replacement from fzz. Give prob of sequence zz.
1/3
Calculate prob of sequence twyy when four letters picked without replacement from wtywxtxtxw.
0
Calculate prob of sequence pr when two letters picked without replacement from rgpgzjj.
1/42
Calculate prob of sequence bbbu when four letters picked without replacement from bubuybbbuuubuuuyuuub.
77/3876
Two letters picked without replacement from lqlpqqlpqqllzxqnxxzq. What is prob of sequence pl?
1/38
Two letters picked without replacement from {x: 2, n: 3, f: 2, j: 2, r: 6}. Give prob of sequence jr.
2/35
Calculate prob of sequence tz when two letters picked without replacement from {z: 2, s: 4, w: 2, t: 1}.
1/36
Calculate prob of sequence ayxa when four letters picked without replacement from {h: 1, d: 2, r: 6, a: 7, x: 2, y: 1}.
7/7752
What is prob of sequence no when two letters picked without replacement from {n: 7, o: 1}?
1/8
Calculate prob of sequence ij when two letters picked without replacement from kjjjjjjjjikkjkkjj.
11/272
Four letters picked without replacement from {u: 9, n: 5}. What is prob of sequence unnn?
45/2002
What is prob of sequence rdjd when four letters picked without replacement from drdrdjrrhadhrjaddeh?
25/7752
Four letters picked without replacement from {h: 1, j: 6, z: 6, t: 5, d: 1}. Give prob of sequence dtjz.
5/2584
Two letters picked without replacement from vdgvvqvgq. What is prob of sequence vg?
1/9
Two letters picked without replacement from {f: 1, p: 7, m: 5, j: 6}. Give prob of sequence fp.
7/342
Four letters picked without replacement from {t: 6, o: 7}. Give prob of sequence oott.
21/286
Calculate prob of sequence mx when two letters picked without replacement from jxmmm.
3/20
What is prob of sequence dmy when three letters picked without replacement from {d: 1, q: 3, c: 3, m: 2, y: 1}?
1/360
What is prob of sequence pw when two letters picked without replacement from pwpwwwwwipwpiiwiwiw?
20/171
Calculate prob of sequence ce when two letters picked without replacement from ceececiceee.
12/55
Four letters picked without replacement from ixxijvxqjqiqxxxjiixx. What is prob of sequence ivxj?
1/969
Calculate prob of sequence al when two letters picked without replacement from kadzlzslzzaszzazzsz.
1/57
What is prob of sequence rjd when three letters picked without replacement from {j: 4, d: 1, r: 8}?
8/429
Two letters picked without replacement from kla. What is prob of sequence al?
1/6
Three letters picked without replacement from seyeuyyoyeuyueyusy. What is prob of sequence oys?
7/2448
Two letters picked without replacement from {y: 4, z: 1, o: 2}. Give prob of sequence yo.
4/21
Four letters picked without replacement from lmivmvvmllmml. What is prob of sequence lmml?
2/143
Three letters picked without replacement from whrwirrwrwwwrf. Give prob of sequence wfw.
5/364
Two letters picked without replacement from {r: 4, x: 1, y: 2, i: 1, j: 1, q: 3}. What is prob of sequence rj?
1/33
Three letters picked without replacement from hxsqsksxsqdh. What is prob of sequence qsk?
1/165
Four letters picked without replacement from {z: 1, j: 6, t: 2, u: 9}. Give prob of sequence utzz.
0
Three letters picked without replacement from {n: 2, l: 2, e: 4}. Give prob of sequence lle.
1/42
Two letters picked without replacement from {m: 2, w: 1, a: 1, n: 2, v: 1}. What is prob of sequence aw?
1/42
What is prob of sequence pp when two letters picked without replacement from {f: 3, p: 5, y: 3}?
2/11
Two letters picked without replacement from qqqqqquqqqqqqqq. Give prob of sequence uq.
1/15
Calculate prob of sequence gfa when three letters picked without replacement from kakakfagskg.
1/165
Calculate prob of sequence rj when two letters picked without replacement from titiijiitrtriiriirit.
1/95
Calculate prob of sequence uaiu when four letters picked without replacement from {q: 1, a: 7, z: 4, i: 6, u: 2}.
7/9690
Calculate prob of sequence chbq when four letters picked without replacement from ghhcbzgchgqh.
1/1485
Three letters picked without replacement from {h: 2, n: 4, r: 2}. What is prob of sequence hnn?
1/14
Three letters picked without replacement from ggdgbggddgggd. What is prob of sequence ggg?
28/143
What is prob of sequence do when two letters picked without replacement from hhdoddnnodhdddd?
8/105
Calculate prob of sequence glq when three letters picked without replacement from lfqkgdg.
1/105
Calculate prob of sequence jdn when three letters picked without replacement from jdnvm.
1/60
What is prob of sequence rr when two letters picked without replacement from {e: 9, r: 3}?
1/22
Three letters picked without replacement from gwtowsg. What is prob of sequence gws?
2/105
Four letters picked without replacement from {f: 1, w: 4, j: 1, h: 2, p: 3}. Give prob of sequence hwjh.
1/990
Three letters picked without replacement from nnctxhi. Give prob of sequence xnt.
1/105
Two letters picked without replacement from {f: 1, r: 3, q: 2, u: 1}. What is prob of sequence qr?
1/7
What is prob of sequence hff when three letters picked without replacement from {x: 2, l: 3, c: 1, f: 3, w: 1, h: 1}?
1/165
Three letters picked without replacement from {z: 1, x: 4, d: 2, a: 3, o: 1, e: 1}. Give prob of sequence dxz.
1/165
What is prob of sequence oc when two letters picked without replacement from {c: 7, s: 1, u: 3, e: 3, o: 2, t: 3}?
7/171
Calculate prob of sequence pjj when three letters picked without replacement from {y: 5, j: 8, z: 2, p: 1}.
1/60
What is prob of sequence tcc when three letters picked without replacement from {t: 1, a: 2, c: 7}?
7/120
Two letters picked without replacement from {j: 8, q: 3}. Give prob of sequence qq.
3/55
Calculate prob of sequence aa when two letters picked without replacement from aaaaaa.
1
What is prob of sequence ylp when three letters picked without replacement from {k: 10, v: 2, l: 3, p: 1, y: 3}?
1/646
Two letters picked without replacement from {c: 4, v: 3, j: 1, p: 5, x: 3, b: 4}. Give prob of sequence pj.
1/76
Calculate prob of sequence zhy when three letters picked without replacement from {y: 1, h: 1, z: 1,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2. Let p = 3 + -2. Let z(g) = -g**2 - g - 1. Calculate p*z(t) + v*d(t).
2*t**2 + 1
Let l(n) = -6*n**2 + 5*n + 2. Let c(m) = -17*m**2 + 14*m + 5. Determine 3*c(y) - 8*l(y).
-3*y**2 + 2*y - 1
Let y(n) be the third derivative of n**3/6 - 26*n**2. Let p(g) = -5*g**2 + 4. What is -p(t) + 4*y(t)?
5*t**2
Let a be (-1 + 1)*(0 - 1). Suppose -g + a - 2 = 0. Let r(x) = -x**3 + 2*x**2 - 2. Let j(s) = -2*s**3 + 5*s**2 + s - 4. Give g*j(b) + 5*r(b).
-b**3 - 2*b - 2
Let n(c) = -13*c**3 + 26*c + 26. Let m(z) = z**3 - z - 1. Calculate 26*m(w) + n(w).
13*w**3
Let q(m) = 17*m - 7*m - 11*m. Let s(g) = -2*g**2 - 4*g + 1. Give -4*q(f) + s(f).
-2*f**2 + 1
Let k(t) = -t - 4. Let l(g) = 3*g - 19 - 6*g + 6. Let o be (-4 + 5)*3 + 4. What is o*k(v) - 2*l(v)?
-v - 2
Suppose 24 = -10*n + 4*n. Let c(s) = s**3 + s**2 + 1. Let m(h) = -6*h**3 - 3*h**2 + 2*h - 4. Determine n*c(u) - m(u).
2*u**3 - u**2 - 2*u
Let h(n) = -n**2 + 6*n + 6. Let b(w) = -w**3 + 7*w**2 - w + 1. Let a be b(7). Let g(k) = -2*k**2 + 11*k + 11. Determine a*g(d) + 11*h(d).
d**2
Let f(d) = -9*d**3 + 6*d**2 - 8*d. Let p(q) = 26*q**3 - 17*q**2 + 23*q. Give 17*f(w) + 6*p(w).
3*w**3 + 2*w
Let t(y) = -1. Let o(q) = q + 4. Let f(c) = -o(c) - 4*t(c). Let g(k) = 2*k - 6*k + k. What is -14*f(z) + 4*g(z)?
2*z
Let u(p) = 2*p**3 - 3*p + 4. Let n(h) = 13*h**3 - 17*h + 17. Let f(t) = -3*t**3 + 4*t - 4. Let k(l) = -9*f(l) - 2*n(l). Calculate 7*k(m) - 4*u(m).
-m**3 - 2*m - 2
Let w(y) = y + 16. Let r(h) = 2*h + 40. Calculate -5*r(c) + 12*w(c).
2*c - 8
Let a(s) = -7*s**3 - 5*s**2 - 4*s + 5. Let u(y) be the third derivative of -y**6/40 - y**5/30 - y**4/12 + y**3/3 - 8*y**2. Give -2*a(b) + 5*u(b).
-b**3 - 2*b
Let j(d) = -11*d**2 - 8*d + 2. Let z(q) = -10*q**2 - 7*q + 2. Determine 5*j(f) - 6*z(f).
5*f**2 + 2*f - 2
Let y(i) = 3*i**3 + 5*i**2 + 97. Let w(r) = 5*r**3 + 8*r**2 + 146. Determine 5*w(h) - 8*y(h).
h**3 - 46
Let h(v) = -v**3 + 5*v**2 + 6*v + 3. Let r(l) = -2*l**3 + 6*l**2 + 7*l + 4. Determine 4*h(o) - 3*r(o).
2*o**3 + 2*o**2 + 3*o
Let l(r) = -7*r**2 + 2*r + 4. Let z(d) = 22*d**2 - 5*d - 11. What is 11*l(x) + 4*z(x)?
11*x**2 + 2*x
Let d(b) = 3*b - 3. Let k = 0 - 4. Let s(a) = -7*a + 7. What is k*s(x) - 9*d(x)?
x - 1
Let u(c) = 5*c**2 + 6*c - 3. Let m = -4 + 7. Let i(x) = 8*x**2 + x + 2. Let w(o) = o**2 - o + 1. Let y(g) = i(g) - 4*w(g). Give m*u(a) - 4*y(a).
-a**2 - 2*a - 1
Let u(h) be the third derivative of 0 + 0*h**4 + 0*h - 1/15*h**6 + 1/15*h**5 - h**2 + 1/3*h**3. Let a(m) = 23*m**3 - 11*m**2 - 6. Calculate 6*a(l) + 17*u(l).
2*l**3 + 2*l**2 - 2
Let a = 71 - 78. Let t(m) = -m - 6. Let g(v) = -3*v - 13. Calculate a*t(w) + 3*g(w).
-2*w + 3
Let l(o) = -11*o**3 - 4*o**2 + 3*o - 1. Let c(a) = -a**3 + a**2 - a. Determine -4*c(v) - l(v).
15*v**3 + v + 1
Let j be (-2)/(-4) + (-11)/(-2). Let n(a) = -2*a**2 + 5*a - 6. Suppose 0*v - 35 = -3*v - 4*u, -u = -v. Let b(l) = -v*l + 1 + 0*l + 4*l. Calculate j*b(t) + n(t).
-2*t**2 - t
Let m(f) = 3*f - 3. Let x(k) = -3*k + 2. Calculate -3*m(s) - 4*x(s).
3*s + 1
Let f(w) be the second derivative of -4*w**2 + 3/10*w**5 + 0 + 2*w + 4/3*w**3 + 2/3*w**4. Let r(n) = -2*n**3 - 3*n**2 - 3*n + 3. What is -3*f(x) - 8*r(x)?
-2*x**3
Let c(v) = -23*v**3 + 17*v**2 + 17. Let w(f) = -8*f**3 + 6*f**2 + 6. Let r(h) = 0*h + 3*h - 5*h + 3*h. Let b be r(6). What is b*c(g) - 17*w(g)?
-2*g**3
Suppose 2*a + 2*p + 18 = 7*p, -5*p + 20 = 0. Let y = a - -2. Let k(f) = f + 1. Let g(r) = r**2 + 5*r + 5. Determine y*k(h) - g(h).
-h**2 - 2*h - 2
Let q(d) = -d**2 - 4*d + 4. Let n = 104 + -131. Let b(j) = 6*j**2 + 27*j - 27. Calculate n*q(f) - 4*b(f).
3*f**2
Let p(u) = 10*u**2 + 5*u + 5. Let h(i) = -2*i**2 + i + 1. Let o(m) = 3*m**2 - m - 1. Let l(q) = 4*h(q) + 3*o(q). What is -5*l(f) + p(f)?
5*f**2
Let f(k) = -k**3 + k**2 - 1. Let j(x) = -2*x**3 + 7*x**2 - 6. Calculate -6*f(u) + j(u).
4*u**3 + u**2
Let q be ((-7)/14*-2)/((-1)/(-2)). Let s(h) be the third derivative of 5/6*h**3 + 1/8*h**4 + h**q + 0*h + 0. Let o(n) = -n - 1. Determine -4*o(p) - s(p).
p - 1
Let m(w) = 4*w**3 - 3*w**2 - 3*w + 3. Let v = 230 - 240. Let p(h) = h**2 - 7*h + 4. Let b be p(5). Let z(q) = -7*q**3 + 5*q**2 + 5*q - 5. Give b*z(j) + v*m(j).
2*j**3
Let w(f) = 2*f**3 - f**2 + f - 1. Let v(n) = -n + 1. What is -2*v(a) - 2*w(a)?
-4*a**3 + 2*a**2
Let n(q) = q + 0*q - 1 - 3*q**2 + 2*q**2. Let j(d) be the first derivative of 2*d**3 - 7*d**2/2 + 3*d + 7. What is -j(h) - 5*n(h)?
-h**2 + 2*h + 2
Let p(g) = g**2 + g + 1. Let l(t) be the second derivative of -t**4/6 + t**3/3 + t**2 - t - 4. What is l(m) - 2*p(m)?
-4*m**2
Let u(r) = 9*r**3 + 4*r**2 + 5*r + 1. Let m(l) = l - 5. Let h be m(7). Let o(t) = h*t**2 - 4*t**2 - 2*t + t**3 - 5*t**3. Determine -5*o(x) - 2*u(x).
2*x**3 + 2*x**2 - 2
Let z(l) = 3*l + 12. Let a(r) = r + 3. Let p(t) = -9*a(t) + 2*z(t). Let b = 3 - 0. Let y(c) = 3 + 2*c + b - 4. Give -4*p(k) - 5*y(k).
2*k + 2
Let n = -21 + 22. Let t(q) = -q. Let m(f) be the second derivative of 5*f**3/6 - f**2 - f. Give n*m(b) + 6*t(b).
-b - 2
Let q(k) = 31*k**3 + 7*k**2 + 5*k. Let j(z) = -15*z**3 - 3*z**2 - 2*z. Give -5*j(w) - 2*q(w).
13*w**3 + w**2
Let g(u) = -u**3 - 7. Suppose -4*l = -4*w + 8, 2*l + 2*l = w - 23. Let d(j) = 1. Let p(t) = -1. Let f(r) = -2*d(r) + p(r). Give l*f(i) + 3*g(i).
-3*i**3
Let n(v) = -2*v - 3. Let m(u) = -u - 1. Give 4*m(y) - n(y).
-2*y - 1
Let o be 4/1 - (-1 + 3). Let q(d) = 11*d**3 - 5*d - 5. Let x(m) = 0*m - 2*m + 133 - 135 + 5*m**3. Calculate o*q(g) - 5*x(g).
-3*g**3
Let a be 92/12 + (-4)/6. Let d(w) = w**2 + 7*w + 7. Let b be (-12)/(-14)*(8 - 1). Let r(p) = -p**2 - 6*p - 6. Calculate a*r(z) + b*d(z).
-z**2
Let j(t) = 3*t**2 + 3 - 2*t**3 + 2*t**3 + 3*t**3 + 0*t**2. Let x be 27/3*(-3)/9. Let p(v) = -v**2 - 1. Calculate x*p(s) - j(s).
-3*s**3
Let h = 16 + -25. Let g(f) = 2*f**3 + 11*f**2 - 4*f + 9. Let q(s) = s - 1. Let r be q(5). Let p(o) = o**3 + 5*o**2 - 2*o + 4. Give h*p(i) + r*g(i).
-i**3 - i**2 + 2*i
Suppose 4*r = 11 + 5. Suppose 3*h = -4*y - 29, -5*h - 4*y = -y + 41. Let v(p) = -p**2 + 2*p + 5. Let z(u) = -2*u**2 + 3*u + 9. Determine h*v(t) + r*z(t).
-t**2 - 2*t + 1
Let l(z) = 3*z**3 - z**2 - 5. Let k(m) = 7*m - 1. Let x be k(1). Let s(d) = 4*d**3 - d**2 - 6. Calculate x*l(f) - 5*s(f).
-2*f**3 - f**2
Let o(p) = 6*p**2 - 6. Let b(f) = 11*f**2 - 11. Determine -3*b(r) + 5*o(r).
-3*r**2 + 3
Let o(y) = -14*y**2 + 14*y - 5. Let n(b) = 5*b**2 - 5*b + 2. Give 8*n(x) + 3*o(x).
-2*x**2 + 2*x + 1
Let v(z) = -z + 2. Let c(d) = -4*d + 6. Give 4*c(l) - 14*v(l).
-2*l - 4
Let d = -31 - -22. Let q(v) = 11*v**2 + 11*v + 9. Let o(r) = -5 + 2 - 4 - 5*r + 3 - 5*r**2. Determine d*o(z) - 4*q(z).
z**2 + z
Let s(q) = 14*q**2 + 5*q - 11. Let v(u) = 2*u**2 - 3*u + 2. Let c be v(2). Let n(r) = 5*r**2 + 2*r - 4. What is c*s(i) - 11*n(i)?
i**2 - 2*i
Let y(k) = -11*k**3 + 26*k**2 - 8*k + 2. Let z(o) = -4*o**3 + 9*o**2 - 3*o + 1. Calculate -3*y(f) + 8*z(f).
f**3 - 6*f**2 + 2
Suppose -2*u - c = 4 + 2, 4*c + 17 = -u. Let z(m) be the third derivative of m**4/24 + 3*m**2. Let k(l) = -2*l**2 - 3*l. What is u*k(r) - 2*z(r)?
2*r**2 + r
Let v(j) = 1. Let y(x) = 2*x - 4. Suppose 3*r + 1 = 7. Let t be (3/r)/(1/(-2)). Determine t*v(i) - y(i).
-2*i + 1
Let g(w) = w + 1. Suppose -2*r = -4*r - 4. Let s(y) = -y**2 + 2*y + 2. What is r*g(b) + s(b)?
-b**2
Let q(b) = -13*b + 2. Let g(j) be the first derivative of 3*j**5/40 - j**4/24 - 8*j**3/3 - 6. Let c(y) be the third derivative of g(y). Give 7*c(w) + 5*q(w).
-2*w + 3
Let m(d) = 21*d**2 + 9*d - 5. Let h(f) = -31*f**2 - 13*f + 7. What is 5*h(s) + 7*m(s)?
-8*s**2 - 2*s
Let f(o) = 22*o**3 + 10*o**2 - 12. Let q(r) = -9*r**3 - 4*r**2 + 5. Determine -5*f(u) - 12*q(u).
-2*u**3 - 2*u**2
Let w(p) be the third derivative of p**4/4 - 5*p**3/6 - 2*p**2. Let c(l) = 29*l - 4 - 14*l - 10*l. Give -4*c(q) + 3*w(q).
-2*q + 1
Let w(v) = -v. Let u(b) = -4*b - 12. Calculate u(n) - 2*w(n).
-2*n - 12
Let m(n) = 5*n - 2. Let b be m(1). Let k(d) = -d**3 + 5*d**2 - 3*d. Let q(y) = -2*y**3 + 6*y**2 - 4*y. Give b*q(g) - 4*k(g).
-2*g**3 - 2*g**2
Let u(m) = -3*m - 2. Let a(z) = -1 - 9*z - 2 + 0 - 4. What is -2*a(i) + 7*u(i)?
-3*i
Let x(b) = -b + 3 - 3 - 1. Let a(z) = z**2 + 2*z + 2. Suppose 5 = 4*d + 9. Determine d*a(p) - 2*x(p).
-p**2
Let g(o) = -6*o**2 + 4. Let y(t) = -12*t**2 - t. Let m be y(1). Let x = -17 - m. Let s(r) = -7*r**2 + 5. Determ
|
{
"pile_set_name": "DM Mathematics"
}
|
)*n**(-2/3))**47 assuming n is positive.
n**(-2911/285)
Simplify (f**10/f*(f*f/f**(-2/5))/f)**15/((f*f**(5/2))/f*f/(f*(f/((f**(-1/14)/f)/f))/f)*f*f**(-7)*f*f*f**(-3)) assuming f is positive.
f**(1138/7)
Simplify (q**3/q*q**1*q**(-3)*q*q*(q**4/q)/q)/(q**0/q*q/((q/q**(-3/5))/q*q))**3 assuming q is positive.
q**(44/5)
Simplify (((x/(x/x**(-5/2)*x))/x)/x**(-1/4))/((x/(x*x**(-1/3)))/(x*x/((x**(-3)/x)/x)))*(x/x**(-1/2))**43*x**(-2)*x*x**(2/7)*x assuming x is positive.
x**(5645/84)
Simplify (s**(-1/2)/s*(s*((s*s/s**(-3))/s)/s)/s*s)/((s*s/(((s**4*s)/s)/s))/((s**(-4/3)*s)/s))*(s**(-3/4)*s**(1/7))**(-45) assuming s is positive.
s**(2477/84)
Simplify (((f/(f*f**(-1/4))*f)/f**(12/11))/(f*f**(-17)*(f/(f/f**(-15)))/f))**(-2/31) assuming f is positive.
f**(-1415/682)
Simplify k*(k**(-8)/k)/k*k**(-4)*k**(-1/8)*k*k**2*k*(k/(k*k*k/(k/(k**(1/3)*k))*k))/k**6*(k/k**(-1))**(2/173) assuming k is positive.
k**(-76543/4152)
Simplify ((n/n**5*n)**(-16)/(n**(-2/15))**(-10/17))**(-3/40) assuming n is positive.
n**(-611/170)
Simplify (t**(-5)/((t/t**(-1/5))/t))**(-27)/((t**(-1/9)*t)/(t**(-8)*t))**(-22) assuming t is positive.
t**(14128/45)
Simplify ((r*r**(-16))/(r/r**24)*(((r*r**(-1/5)/r)/r)/r)**(5/4))**(-3/11) assuming r is positive.
r**(-63/44)
Simplify ((x/x**43)/x*x**4)/(x*x**(-1/3)*x**(-1/68)) assuming x is positive.
x**(-8089/204)
Simplify (k**4*k*(k**(2/7)*k)/k)/(k**(-7)/(k/(k*k**(-4))*k))*((k*k*k**(-1)*k)/k**(7/3))**(-47) assuming k is positive.
k**(692/21)
Simplify ((((r/(r*r/r**3*r))/r*r*r**(4/3)*r)**(-8))**(-25))**(-1/23) assuming r is positive.
r**(-2000/69)
Simplify ((p**(-2))**(1/74))**31*(p**(1/3)/p**(9/2))**(-2/33) assuming p is positive.
p**(-2144/3663)
Simplify (y/(y*(y/y**43)/y*y*y)*y)/(y*y**9)*(y/y**(-6/17))/y**(-19) assuming y is positive.
y**(890/17)
Simplify ((b**13*b*b**(-3/8))**(-4/33))**11 assuming b is positive.
b**(-109/6)
Simplify ((((h**(-3)*h)/h)/h*h**(-6))/((h/(h*h**1/h))/h)**1)/(h**2*h*h*h**(-6)*h**2/((h*h/(h/(h*h/((h/(h/((h*h**4)/h)))/h)))*h)/h)) assuming h is positive.
h**(-9)
Simplify (((l*(l*l*l**12/l)/l*l**(-7/2))**(-3/11))**(-14))**(1/11) assuming l is positive.
l**(399/121)
Simplify q/(q**(-5)*q)*q**(-7)*(q/(q*q*q**(-1/8))*q)/((q**(-8)/q*q*q*q)/q)*(q**(1/4)/(q/q**7))/(q**0/(q**3*q)) assuming q is positive.
q**(123/8)
Simplify (o*o*o**7*o**(-1/3)/o*o*o*o**(2/7)*o*o*o*o**(-1)*o)/((o**(1/5))**(-4/5)/(o**(3/4)/(o/(o*o/(o**(-2/11)/o)*o)*o))) assuming o is positive.
o**(370621/23100)
Simplify (a**30/a**(-2/61))/(a**(-3/8)*a/a**(-5)*a*a) assuming a is positive.
a**(10935/488)
Simplify ((f/((((f/(f/(f*f*f*(f**1/f)/f*f))*f)/f)/f*f)/f)*f)/((f**(1/9)/f)/f))**(-4/31)/((f*f**0)**(1/3))**20 assuming f is positive.
f**(-1928/279)
Simplify ((((n**2*n)/n)**(-4)/(n**(1/4))**(-1/15))**47)**(3/7) assuming n is positive.
n**(-22513/140)
Simplify (((o**1)**(1/16)/(o**(-3)*(o**10*o)/o*o))**(1/9))**7 assuming o is positive.
o**(-889/144)
Simplify ((i*(i/(i*i**27)*i*i*i)/i)**0/(i*(i**(-18/5)*i)/i*i**(-3/2)))**49 assuming i is positive.
i**(2009/10)
Simplify ((m**(-3/4)/m)/(m/m**(-4)))**(7/5)/((m/(m/(m/(m*m**(-6)))*m))/(((m**5/m)/m)/m))**(-3/16) assuming m is positive.
m**(-711/80)
Simplify (r/(r**(1/5)/r)*r/(r/((r/(r/r**4))/r)))**(-38)/((r**(-2))**(-17))**(-2/11) assuming r is positive.
r**(-9692/55)
Simplify (l**(-43)*l/(l**38/l))/(l**(-39)*l**(-12)) assuming l is positive.
l**(-28)
Simplify (o**(8/3)*o*o/((o**11/o)/o)*(o**2*o*o)**(-2))**(-4/9) assuming o is positive.
o**(148/27)
Simplify ((((l**7/l)/l*l)/((l/(((l*l**(-5))/l)/l))/l))/((l/l**(-2/3))/((l*(l/(l/(l*l**8)))/l*l)/l)))/(l**(-5/6)/l*l**(-2/9))**(-32) assuming l is positive.
l**(-526/9)
Simplify ((p/(((p*p**14*p)/p)/p)*p)/(p/(p/(p*(p*(p*p**4*p)/p)/p*p)*p)))**8/((p**(-3/4))**(-2/27))**11 assuming p is positive.
p**(-2603/18)
Simplify (g*g**(-3/5))/(g*g**(2/9))*((g/g**(-2))/g)/g**(-7)*((g/((g**(-3/4)/g)/g))**3)**(-3/19) assuming g is positive.
g**(21893/3420)
Simplify i**(-4/9)*i/(i*i*i*i/(((i/(i/i**(-24)))/i)/i))*((i/i**(1/8))/i*i)**(-2/71) assuming i is positive.
i**(-75323/2556)
Simplify ((q**(1/2)*q)**12/((q/(q*q**(-2)/q*q*q)*q*q)/((q*q**1)/q)))/((q**1)**(2/7)/((q*q/(q*q**1)*q)/q*q**(-1/6)*q)) assuming q is positive.
q**(695/42)
Simplify (((r/(r**4/r*r))/r)/r**(-2))/(r/r**1*r*r/(r**(3/4)*r)*r)*(r**2*r/r**(2/7)*r*r)**(-6/17) assuming r is positive.
r**(-2339/476)
Simplify ((((x/x**(2/9))/x)/x)/x*x*x**(2/11)*x)**(-41)*(x**0)**(1/15)/(x**0)**(-4/13) assuming x is positive.
x**(164/99)
Simplify ((n*n/n**(2/3))**(2/115)/(n**(-13)*n**4))**9 assuming n is positive.
n**(9339/115)
Simplify (h*h**(2/79))/(h*h/(h*h*h**39))*h/(h/(h/(h/(h**(-41)/h*h))))*h*h/h**(-14) assuming h is positive.
h**(1187/79)
Simplify ((x*x**3)/((x/(x*x/(x*x**(-1))*x))/x))/((x*x**(-1))/(x/x**(-6)))*(x*x/(x/(x/x**(3/7)))*x*x**7*x)**(6/5) assuming x is positive.
x**(934/35)
Simplify (l**(4/7)/l*l**(-2/9)/l*(l/l**(-3/8))/l*l*l**(-7))/(l/(l**(2/5)/l)*l*l*l**(1/8))**(15/11) assuming l is positive.
l**(-34249/2772)
Simplify ((m**(-28))**(-40)/(m*m/(m/((m*m*m**(-11/9))/m))*m)**13)**(-41) assuming m is positive.
m**(-404752/9)
Simplify (b**(-2/7)/((b**0/b)/b))/(b/b**(-2/15)*(b*b/b**(-4)*b)/b)*((b**(-1)*b)/b**(-3/4))**(-2/13) assuming b is positive.
b**(-15109/2730)
Simplify (w*w**4*w*w*w**(-1/6)/w*w)/(w**6/((w/w**2)/w))*(w*w**(-8)*w*w*w*(w*w**5)/w*w)/((w/(w/w**(-9)))/w*w**(-4)*w) assuming w is positive.
w**(83/6)
Simplify (((h**(1/6)/(h**5*h))**(-2/45))**(-38))**(34/5) assuming h is positive.
h**(-9044/135)
Simplify ((a**6/a)/(a/(a*(a*a**(1/4))/a))*(a/(a**1*a*a)*a)**(-2))/((a**(3/8)/a*a)/a**(3/2))**(3/10) assuming a is positive.
a**(607/80)
Simplify ((r**(-1/4))**(-38)/(r**1/r)**(-7/4))/((r**(2/3))**(-8/3))**25 assuming r is positive.
r**(971/18)
Simplify (v**(-1))**(4/15)/(v**(-1)*v*v*v)**20*(v**(-2/3)/v)**(2/113)*(v*((v*v**(1/2))/v)/v*v*v)/(v*v/v**(-3)) assuming v is positive.
v**(-145079/3390)
Simplify (i**(6/23)*i)**21/(i/((i**(3/20)*i)/i))**(32/5) assuming i is positive.
i**(12097/575)
Simplify ((((s/(((s/s**(3/4))/s)/s))/(s*s**(-1/3)/s))/(s*s*s**4/s*s**(-3)*s))**(-37))**(-23/5) assuming s is positive.
s**(851/60)
Simplify (d/(d*d/((d/((d**(10/9)/d*d)/d))/d*d))*d*d*(d*(d*d**(-7))/d)/d*d*(d*d**6*d)/d**(-2/11))**41 assuming d is positive.
d**(16523/99)
Simplify u**(5/4)*u**0*((u/(u*u*u**(3/4)))/u)/u**2*(u**(-4)*u/u**(-11))**(-6/11) assuming u is positive.
u**(-173/22)
Simplify ((c/c**(2/7))/c*c**(3/14)*(c/c**(-2/17))/c**(-12/5))**(8/11) assuming c is positive.
c**(16404/6545)
Simplify ((a/(a*(a/(a*a*a/(a/(a**(-1/10)*a))))/a)*a**(-2/3)*a)/(a**1)**(13/3))/((a**(-2/5))**(-31/4))**(12/7) assuming a is positive.
a**(-449/70)
Simplify (d/((d/d**(-1/4))/d))**(-4/11)/(d**(-6)/(d*d**(2/5)))*(d**4/d)/d**3*d**(-1)*d*d**(-1) assuming d is positive.
d**(337/55)
Simplify ((d/(d/(d/(d*d/d**(-2/53)))))/((d*d**(-6/13))/d))**(-50)/(((d/d**5)/d)**(-1/12))**21 assuming d is positive.
d**(55285/2756)
Simplify ((w/w**(5/11)*w)/(w**(-9/5)*w)*(w**(-7))**(-10))**(-7/10) assuming w is positive.
w**(-27853/550)
Simplify (t**(-28)/t**14*t**29*t**4)**(-8/11) assuming t is positive.
t**(72/11)
Simplify (m**(-25)/m**(2/43)*((m*m/m**(2/9)*m*m)/m)/m**6)**15 assuming m is positive.
m**(-54700/129)
Simplify ((j**(-4)/j**7*j/j**(-1/4)*j/(j*j*j**(-2/7)*j))**10)**(2/15) assuming j is positive.
j**(-107/7)
Simplify f/(f/(f/(f**(-6)/f)))*f/(f/(f**(-2)*f))*f*(f/(f**(2/7)/f)*f*f)**47*((f/(f/f**(-2/17)))/(f/f**(-8)))**6 assuming f is positive.
f**(15216/119)
Simplify (((g**(-2)*g)/g)**(-3/14)/(g**1/g*g**(2/11)))/((g/g**9*g)/(g**6/g))**(1/33) assuming g is positive.
g**(47/77)
Simplify ((r**(-2/25)/r)/(r*r*r**(2/5)*r*r))**(-29)*((r/((r**(-1/6)/r)/r))/r**(-4))**32 assuming r is positive.
r**(29119/75)
Simplify ((v*v*v**(-2)*v)**(6/5))**50*(v*(v*(v**(-2/5)*v)/v)/v*v)**10/(v**(1/3))**12 assuming v is positive.
v**72
Simplify (j**(-3/14)*j)**(8/7)/(j*j/((j*j/(j*j/j**(14/13)*j)*j)/j)*j**(-4/17)) assuming j is positive.
j**(-8553/10829)
Simplify (((k/k**(1/2)*k**11*k)/(k*k**(-9)*k*k**(-4)))**(5/2))**34 assuming k is positive.
k**(3995/2)
Simplify (d**(-8)*d**(-4/3))**(-32)*(d/(d/(d*d/d**(3/8)))*d**8)/(d**(-1/3))**(-6/13) assuming d is positive.
d**(96139/312)
Simplify (z/z**7)**(-1/12)*(z**(-24)*z)/z**(-7/6) assuming z is positive.
z**(-64/3)
Simplify ((y**0/(y*y**(-3/8)))/(y/(y*y
|
{
"pile_set_name": "DM Mathematics"
}
|
5446*t/5 - 65299592/3 = 0. Calculate t.
-2857, 20
Factor -4*i**2 - 19872*i + 119376.
-4*(i - 6)*(i + 4974)
What is p in -25*p**5 + 3490*p**4 - 18325*p**3 - 57940*p**2 - 46820*p - 10720 = 0?
-1, -2/5, 8, 134
Solve j**3/10 + 349*j**2/10 + 17696*j/5 + 411906/5 = 0 for j.
-158, -33
Factor -27*v**3 + 8152*v**2/3 - 207700*v/3 + 130000/3.
-(v - 50)**2*(81*v - 52)/3
Suppose 3*u**3/2 - 645*u**2/2 - 9039*u + 9360 = 0. What is u?
-26, 1, 240
Find f such that 3*f**2/7 + 450*f/7 - 15573/7 = 0.
-179, 29
Factor -5*m**3 + 4940*m**2 + 19840*m.
-5*m*(m - 992)*(m + 4)
Let b**2/2 + 44999*b + 89996 = 0. What is b?
-89996, -2
Determine h so that 4*h**5 - 30812*h**4 + 59289972*h**3 + 178085660*h**2 + 118764872*h = 0.
-2, -1, 0, 3853
Suppose -15*m**4 - 995*m**3 + 4905*m**2 - 4645*m - 2130 = 0. Calculate m.
-71, -1/3, 2, 3
Factor -4*p**3 + 23344*p**2 - 34035540*p - 68164488.
-4*(p - 2919)**2*(p + 2)
Factor -3*u**2 - 3021*u - 93600.
-3*(u + 32)*(u + 975)
Factor -4*r**3 - 360*r**2 + 25756*r.
-4*r*(r - 47)*(r + 137)
Find s such that 5*s**2 - 56560*s - 113140 = 0.
-2, 11314
Determine b, given that 3*b**2/7 + 189*b + 12930/7 = 0.
-431, -10
Let 3*d**2 + 201192*d + 3373185072 = 0. Calculate d.
-33532
Factor -z**3/4 - 5275*z**2/4 - 1741078*z - 5211372.
-(z + 3)*(z + 2636)**2/4
Determine v so that -v**2/5 + 227*v + 25454/5 = 0.
-22, 1157
Solve -76*m**3/7 + 1454*m**2/7 - 124*m/7 - 1254/7 = 0.
-33/38, 1, 19
Factor z**3 + 153*z**2 + 734*z - 888.
(z - 1)*(z + 6)*(z + 148)
Let -16*i**2 + 93058*i - 11632 = 0. What is i?
1/8, 5816
Find w such that 3*w**2 - 105756*w + 422976 = 0.
4, 35248
Determine t, given that -2*t**3/7 - 54*t**2/7 + 204864*t/7 - 23479808/7 = 0.
-379, 176
Determine k so that -2*k**4/3 + 153628*k**3/3 + 153632*k**2 + 460900*k/3 + 153634/3 = 0.
-1, 76817
Factor 2*t**3/13 - 562*t**2/13 + 5468*t/13 - 13008/13.
2*(t - 271)*(t - 6)*(t - 4)/13
Solve 169*p**4/4 - 711308*p**3 + 2993731222*p**2 + 921198576*p + 70862724 = 0 for p.
-2/13, 8418
Factor -3*g**4 - 108*g**3 - 816*g**2 - 720*g + 5616.
-3*(g - 2)*(g + 6)**2*(g + 26)
Factor -4*f**3 + 2232*f**2 - 15476*f + 26448.
-4*(f - 551)*(f - 4)*(f - 3)
Factor -5*m**2 + 71000*m + 710500.
-5*(m - 14210)*(m + 10)
Factor 2*m**3/5 - 2444*m**2/5 - 348744*m/5 - 11796048/5.
2*(m - 1354)*(m + 66)**2/5
Determine h, given that 2*h**2 - 1432*h + 254016 = 0.
324, 392
Suppose -10*f**5 - 1032*f**4 - 206*f**3 = 0. What is f?
-103, -1/5, 0
Find s such that -s**4/6 + 48*s**3 - 10789*s**2/3 + 20116*s - 33135/2 = 0.
1, 5, 141
Factor -2*b**2/9 + 19844*b/9 - 46270/3.
-2*(b - 9915)*(b - 7)/9
Find z such that 3*z**4/5 - 36*z**3 + 981*z**2/5 - 456*z/5 - 324 = 0.
-1, 2, 5, 54
Factor l**5/5 + 1208*l**4/5 + 7221*l**3/5 + 10818*l**2/5.
l**2*(l + 3)**2*(l + 1202)/5
Let t**4 + 14952*t**3 - 59820*t**2 + 59824*t = 0. Calculate t.
-14956, 0, 2
Factor 2662*d**4/17 - 33396*d**3 + 41432160*d**2/17 - 1106681600*d/17 + 5267712000/17.
2*(d - 6)*(11*d - 760)**3/17
Suppose l**4/2 + 566*l**3 - 2275*l**2/2 - 3971*l - 2268 = 0. What is l?
-1134, -1, 4
Factor 2083*z**3/2 + 43753*z**2 + 919443*z/2 + 4410.
(z + 21)**2*(2083*z + 20)/2
Suppose -2*n**5/3 + 34*n**4/3 - 42*n**3 - 346*n**2/3 + 1376*n/3 + 840 = 0. Calculate n.
-2, 5, 7, 9
Let -3*a**4 - 93*a**3 + 1035*a**2 - 1779*a + 840 = 0. Calculate a.
-40, 1, 7
Factor -g**3/2 + 525*g**2/2 + 1058*g.
-g*(g - 529)*(g + 4)/2
Factor d**3/2 + 257*d**2 + 3541*d/2 - 2028.
(d - 1)*(d + 8)*(d + 507)/2
Factor -2*g**3 - 2602*g**2 - 10384*g - 10376.
-2*(g + 2)**2*(g + 1297)
Find h such that 4*h**5/3 - 212*h**4/3 - 944*h**3 + 106560*h**2 - 1612800*h + 2808000 = 0.
-39, 2, 30
Factor 287*m**2/2 + 412*m + 106.
(7*m + 2)*(41*m + 106)/2
Let g**4/3 + 22*g**3/3 + 61*g**2/3 - 76*g - 180 = 0. Calculate g.
-18, -5, -2, 3
Factor -68*h**3/3 + 166*h**2/3 + 370*h.
-2*h*(h + 3)*(34*h - 185)/3
Factor 2*i**3/13 + 66*i**2/13 + 414*i/13 + 350/13.
2*(i + 1)*(i + 7)*(i + 25)/13
Let -4*u**3 + 7232*u**2 - 3232404*u - 33051240 = 0. Calculate u.
-10, 909
Solve -6*l**3/11 + 996*l**2/11 - 29406*l/11 + 28416/11 = 0 for l.
1, 37, 128
Factor -5*m**2 - 2100*m - 65620.
-5*(m + 34)*(m + 386)
Let -2*t**2 + 16112*t - 32449568 = 0. Calculate t.
4028
Solve 4*q**2 - 209720*q + 2748904900 = 0.
26215
Determine o, given that -o**2/8 - 32411*o/4 - 1050472921/8 = 0.
-32411
Determine n so that n**5/4 - 11*n**4/4 - 95*n**3/4 + 775*n**2/4 + 1397*n/2 + 484 = 0.
-8, -2, -1, 11
Factor q**2/3 - 137780*q/3 + 4745832100/3.
(q - 68890)**2/3
Factor 2*h**2 + 1594*h - 36036.
2*(h - 22)*(h + 819)
Let 55*p**4/6 + 4780*p**3/3 + 150065*p**2/2 + 1474495*p/3 - 275560/3 = 0. What is p?
-83, -8, 2/11
Solve -2*p**5/9 + 14*p**4 - 2150*p**3/9 + 1750*p**2/3 + 2152*p/9 - 1792/3 = 0 for p.
-1, 1, 3, 28, 32
Factor -t**2/5 - 65589*t/5 - 65584.
-(t + 5)*(t + 65584)/5
Let -3*t**2 - 1069665*t + 2139342 = 0. Calculate t.
-356557, 2
Factor s**4/4 - 5*s**3 + 37*s**2/2 + 53*s + 117/4.
(s - 13)*(s - 9)*(s + 1)**2/4
Let 24*h**5 - 16716*h**4 - 185037*h**3/2 - 102240*h**2 + 139023*h/2 - 9477 = 0. Calculate h.
-3, 1/4, 702
What is v in -3*v**2 - 4212*v - 54249 = 0?
-1391, -13
Find q, given that 4*q**4/7 + 5800*q**3/7 - 123408*q**2/7 + 229400*q/7 - 111796/7 = 0.
-1471, 1, 19
Suppose -11587216*x**2 - 95312*x - 196 = 0. What is x?
-7/1702
Suppose -4*w**2 + 2968*w - 243648 = 0. What is w?
94, 648
What is o in -3*o**4 - 882*o**3 - 75279*o**2 - 1536444*o - 9103692 = 0?
-134, -13
Factor o**3/5 - 594*o**2/5 + 2363*o/5 - 354.
(o - 590)*(o - 3)*(o - 1)/5
Suppose -2*b**4/7 - 30*b**3/7 - 66*b**2/7 + 230*b/7 - 132/7 = 0. Calculate b.
-11, -6, 1
Determine j so that -2*j**5/3 + 710*j**4/3 - 698*j**3/3 - 1178*j**2 - 708*j = 0.
-1, 0, 3, 354
Let 2*n**2/9 - 220*n/3 + 6048 = 0. What is n?
162, 168
Suppose -5166*o**4 + 1378*o**3 + 5194*o**2 - 1378*o - 28 = 0. Calculate o.
-1, -7/369, 2/7, 1
Factor 4*t**2/7 - 3508*t/7 - 1562600/7.
4*(t - 1202)*(t + 325)/7
Factor -9*o**4 - 30741*o**3 - 104980513*o**2/4 + 8750938*o - 729316.
-(o + 1708)**2*(6*o - 1)**2/4
Factor 2*p**2/15 + 183156*p/5 + 549466/15.
2*(p + 1)*(p + 274733)/15
Suppose -4*b**4 + 688*b**3 - 12432*b**2 + 41600*b - 38912 = 0. Calculate b.
2, 16, 152
Let -2*g**3/5 - 443032*g**2/5 - 24534669128*g/5 = 0. What is g?
-110758, 0
What is h in h**4/3 - 3684*h**3 - 44221*h**2/3 - 11056*h = 0?
-3, -1, 0, 11056
What is c in -345*c**4 + 11533*c**3 + 125522*c**2 - 55812*c + 1512 = 0?
-9, 2/69, 2/5, 42
Factor 2*a**4/13 - 18166*a**3/13.
2*a**3*(a - 9083)/13
Determine c so that -25*c**5 - 860*c**4 - 6050*c**3 + 11420*c**2 - 4485*c = 0.
-23, -13, 0, 3/5, 1
Determine m so that -4*m**3 - 1980*m**2 - 61344*m - 166320 = 0.
-462, -30, -3
Suppose -6*c**4/5 + 51996*c**3/5 - 113681808*c**2/5 + 4462350564*c/5 + 4576084374/5 = 0. What is c?
-1, 41, 4313
Factor 4*p**2 + 8328*p + 16640.
4*(p + 2)*(p + 2080)
Solve -a**2/6 - 13937*a/3 - 194239969/6 = 0 for a.
-13937
What is t in 147*t**3/10 + 227969*t**2/10 - 21724*t/5 - 3102 = 0?
-1551, -2/7, 10/21
Factor -n**2/3 + 20884*n/3 - 109035364/3.
-(n - 10442)**2/3
Factor 2*b**2/3 - 554*b + 39156.
2*(b - 753)*(b - 78)/3
Let g**5/6 - 7*g**4/3 - 43*g**3/3 + 782*g**2/3 - 5315*g/6 + 1925/3 = 0. Calculate g.
-11, 1, 5, 14
Let 9*a**5 + 915*a**4 - 7182*a**3 + 1374*a**2 + 7173*a - 2289 = 0. What is a?
-109, -1, 1/3, 1, 7
Factor 3*m**3/5 + 7302*m**2/5 + 58272*m/5 + 116448/5.
3*(m + 4)**2*(m + 2426)/5
Find y such that 4*y**3 - 1492*y**2 + 34080*y - 201024 = 0.
12, 349
Find g, given that 20*g**3 - 676*g**2 + 3496*g - 4448 = 0.
2, 4, 139/5
Determine w, given that 4*w**4/9 + 19816*w**3 + 220879044*w**2 = 0.
-22293, 0
Let -29*c**2/4 + 785*c/2 - 1500 = 0. Calculate c.
120/29, 50
Factor 5*o**3 - 2137*o**2 - 58036*o + 23556.
(o - 453)*(o + 26)*(5*o - 2)
Find z such that z**4/5 + 2424*z**3/5 + 292329*z**2 - 1771470*z = 0.
-1215, 0, 6
Suppose -2*t**2/3 + 698764*t/3 - 61033890962/3 = 0. Calculate t.
174691
Determine o so that -3*o**3 + 258636*o**2 - 5574381708*o = 0.
0, 43106
Determine n, given that 10*n**2/19 - 3706*n/19 - 3716/19 = 0.
-1, 1858/5
Factor -3*d**3/7 - 1092*d**2 - 4861575*d/7 + 9753750/7.
-3*(d - 2)*(d + 1275)**2/7
Solve 4*g**3/5 + 108*g**2/5 - 1040*g = 0.
-52, 0, 25
Determine u so that -3*u**4 - 780*u**3 + 9657*u**2 - 36570*u + 40800 = 0.
-272, 2, 5
What is n in 14706*n**2/7 - 29408*n/7 - 8/7 = 0?
-2/7353, 2
Find h such that -2*h**4/3 - 2926*h**3/3 + 77330*h**2/3 - 145874*h/3 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
.
1
Let o(f) = -f**3 - f**2 + 4*f + 2. Let v(j) = j - 4. Let c = -9 + 12. Let l be v(c). Let x be l - (6/3 + 0). What is o(x)?
8
Let i(j) = 3*j**3 + j**2 + j. Let m(d) = -d - 11. Let t(r) = r - 2. Let g be t(-5). Let k be m(g). Let z(p) = p + 3. Let u be z(k). Calculate i(u).
-3
Suppose 3*p - 3 = 2*p. Suppose 2*a + 8 = 2*j, p*j - a = 4 + 2. Let v(d) = j - 1 + 10*d - 1. Calculate v(-1).
-11
Let w(o) = o**2 + 11*o - 13. Let z(a) = -2*a + 8. Let l be z(10). Let v be w(l). Let j(d) = 0*d + 1 - 8*d**3 - d - d**2 + 2*d. What is j(v)?
7
Let b(o) = -o**3 - 2*o**2 + o - 2. Let y = 12 + -9. Let k(t) = -y + 0*t + t + 1 + 3. Let n be k(-4). Give b(n).
4
Let d be 4/16 + (1 - 1/4). Let m(l) = 3*l + 1. Calculate m(d).
4
Let y(c) = -11*c + 5. Let p(f) = -8*f + 5. Let o(r) = 4*p(r) - 3*y(r). Determine o(-6).
-1
Let d(o) = 9*o - 13. Let x(w) = -2*w + 1. Let f(b) = d(b) + 4*x(b). Let j(y) = y - 10. Let h(n) = 3*f(n) - 2*j(n). What is h(5)?
-2
Let u(m) = 413 + 6*m - 197 + 4*m - 171 - 2*m. Give u(-5).
5
Let g(r) = -11*r**2 + 10*r + 14. Let l(x) = 31*x**2 - 29*x - 40. Let m(w) = -17*g(w) - 6*l(w). What is m(-7)?
23
Let o(w) = w - 2. Let s be o(-3). Let t(f) be the first derivative of -5*f**2/2 - 4*f - 1. Let l(i) = 11*i + 9. Let j(c) = s*t(c) - 2*l(c). Calculate j(-4).
-10
Suppose -18 = 5*u - 8. Let t(w) = -w**3 - w**2 - 1. What is t(u)?
3
Let t(i) be the third derivative of i**6/120 + i**5/20 - i**4/12 + i**3/2 - 79*i**2 + 1. Let s = 9 - 18. Let h = s - -5. What is t(h)?
-5
Let y be 21*(99/(-21) - (2 + -7)). Let q(k) be the first derivative of 1/3*k**3 - 1/2*k**2 - k + 1/4*k**4 - y. What is q(-2)?
-3
Let k(i) be the second derivative of -i**5/20 + i**4/12 + i**3 - 5*i**2/2 + 3*i. Calculate k(4).
-29
Let h(l) be the first derivative of l**4/4 + 4*l**3/3 - 5*l**2/2 + 6*l + 260. What is h(-6)?
-36
Let r(o) = o - 2. Suppose p - 2*a = 18, -a - 19 - 10 = -3*p. Let f be r(p). Let h(g) = -4 + 1 - 6 + 4*g - 2*g + 3. Determine h(f).
6
Let j(o) = -o**3 + 7*o**2 - 5*o - 8. Let w(f) = -3*f**3 + 36*f**2 + 6. Let m be w(12). Determine j(m).
-2
Let w(i) = -2*i**3 - 15*i**2 - 19*i - 2. Let q(t) = -5*t**3 - 46*t**2 - 57*t - 5. Let x(c) = -3*q(c) + 8*w(c). Calculate x(19).
-1
Let b(k) = 15*k + 8. Let h(a) = a + 1. Let o(i) = b(i) - 5*h(i). Determine o(-2).
-17
Let b(k) be the second derivative of 5*k**3/6 - k**2/2 + 55*k. Calculate b(1).
4
Let q(c) be the second derivative of c**7/840 + c**6/120 - c**5/40 + c**4/6 + 11*c**3/6 - 12*c. Let l(t) be the second derivative of q(t). Calculate l(-4).
0
Let m(y) = -3*y**3 - y**2 - 4*y - 1. Let c(h) = 14*h**3 + 22*h**2 + 23*h - 34. Let a(u) = c(u) + 5*m(u). Determine a(17).
12
Let m = 46 - 38. Let o(p) = -9 - m - 2*p + 18. Determine o(-1).
3
Let h(v) = -2*v + 10. Let l(c) = -2*c + 11. Let w(f) = -3*h(f) + 2*l(f). Let r be (-4 - (-51)/18)*-6. Give w(r).
6
Let q(v) = -1 + 40*v**2 - v - 41*v**2 + 4*v. Let l(t) = -t**2 - 3*t + 3. Let f(s) = -s**3 - 7*s**2 - 6*s - 3. Let u be f(-6). Let w be l(u). Calculate q(w).
-1
Let o(j) = -2 + 0 + 4468*j - 8 - 4467*j. What is o(7)?
-3
Let g(k) be the third derivative of k**6/120 - 7*k**5/30 - k**4/24 + 2*k**3 + 17*k**2 + 4*k. What is g(14)?
-2
Let w be 10/(-50) - 70/25. Let h(s) = 5*s**2 + s + 1. Give h(w).
43
Let d be -1 + (-66)/(-4) + 46/(-92). Let q(z) = 2*z - 15. Calculate q(d).
15
Suppose 5*j - 10 = 4*l, 0 = -l + 3*j - 7 + 1. Let f(n) = n**2 - n + 5. Give f(l).
5
Let a(l) = 3*l**2 - 5. Let s be -7 - -9*(5 - 4). What is a(s)?
7
Let a(j) be the second derivative of -j**3/6 - 13*j**2/2 - 4*j. Let l be a(-6). Let v = l + 12. Let k(t) = t + 1. Give k(v).
6
Let j(d) be the third derivative of -d**5/120 - 5*d**3/2 + 11*d**2. Let c(u) be the first derivative of j(u). Give c(1).
-1
Let d be 228/285 - 31/(-5). Let u(n) = -n**2 + 8*n + 6. Give u(d).
13
Let t(f) be the first derivative of 4 - f - 5/3*f**3 + 0*f**2. Let q = 3 + -2. What is t(q)?
-6
Let f(t) = -22*t + 179. Let r be f(8). Let n(j) be the second derivative of 0 - 1/2*j**2 - 1/6*j**r - j. Determine n(4).
-5
Suppose 6*a = -152 - 118. Let l = -52 - a. Let t(k) be the third derivative of k**4/24 + 5*k**3/6 + k**2. Calculate t(l).
-2
Let i(h) = 14*h**2 + 8*h - 1. Let k(n) = -12*n**2 - 7*n + 2. Let b(j) = -5*i(j) - 6*k(j). Give b(-3).
5
Let w(t) be the first derivative of -t**3 + 2*t**2 - 2*t + 117. Give w(2).
-6
Let f(t) = -5*t**3 - 39*t**2 - 5*t - 3. Let z(p) = -p**3 - 7*p**2 - p. Let u(x) = -f(x) + 6*z(x). Let a = 3 - 2. Let w(c) = -3*c. Let m be w(a). What is u(m)?
6
Let x(c) = -c - 1. Let m(l) = l + 4. Let v(z) = -m(z) - 2*x(z). Let p(a) = -a**3 + 7*a**2 + 5. Let t be p(7). Calculate v(t).
3
Let x(o) = 42*o - 11. Let f(q) = 36*q - 9. Let y(w) = 6*f(w) - 5*x(w). Determine y(4).
25
Let h(f) = -f**2 - 4*f - 4. Let p(k) be the third derivative of -k**6/24 + k**5/30 - k**4/12 + k**3/6 + 6*k**2. Let r be p(1). What is h(r)?
-4
Suppose 177*o = 166*o - 77. Let q(u) = -4*u - 31. Determine q(o).
-3
Suppose 244 = g + 3*j, 0*j = 3*j + 12. Suppose 7*l + g = 11*l. Let f be 1/(4/l*4). Let h(v) = v**2 - 3*v - 5. What is h(f)?
-1
Let d(p) = 32*p - 1. Suppose 1606*j + 5 = 1611*j. Calculate d(j).
31
Let r(v) = 6*v**3 - 6*v**2 + 12*v + 4. Let b(z) = 7*z**3 - 8*z**2 + 14*z + 5. Let l(n) = 5*b(n) - 6*r(n). What is l(-2)?
-3
Let w(n) = 2*n**2 - 2*n - 20. Let s(h) = -h**2 - 6. Let u(j) = -3*s(j) + w(j). Calculate u(2).
14
Let x(l) = -4 - 4*l**2 + 5 - 9*l - l**3 + 2*l**3. Let b be x(6). Suppose 5*z + b = -16. Let y(g) = g**2 + 8*g + 7. What is y(z)?
0
Let z(l) = -l**2 + l + 2. Let q(v) be the first derivative of v**3/3 + 5*v**2/2 - 10*v - 25. Let t be q(-7). Calculate z(t).
-10
Let a(g) = 4*g**3 - 30*g**2 - 72*g - 24. Let z(s) = -3*s**3 + 20*s**2 + 50*s + 16. Let w(r) = -5*a(r) - 7*z(r). Give w(-9).
-1
Let w be (-2)/5 - 185/(-25). Suppose s = 3*l + 2 + w, 0 = 2*l + 4*s + 20. Let r(m) = -23*m - 3. Let x(h) = -8*h - 1. Let q(k) = l*r(k) + 11*x(k). Give q(-2).
-7
Let w(v) = 5*v. Suppose 5*b - f - 4 = 4, -4*f + 8 = 0. Let s = -10 - b. Let i = s + 10. Calculate w(i).
-10
Suppose 0 = -5*c + 15, -3*c - 16 = -j - 4*j. Let k(r) = -r**2 + 9*r - 13. Calculate k(j).
7
Let o(q) = q**2 + q - 2. Let j be (-75)/(-6) - (-35)/(-14) - 7. Calculate o(j).
10
Let i(h) be the first derivative of -h**2/2 + 12*h - 2. Let q be -3*(64/(-12))/2. Suppose -q*w - 25 = -13*w. What is i(w)?
7
Let r = 19 - 14. Let z(q) = 9*q + 2. Let n(c) = 28*c + 6. Let l(d) = -5*n(d) + 16*z(d). Let p(o) = 11*o + 7. Let g(k) = 8*l(k) - 3*p(k). Give g(r).
-10
Let q be (-6)/(-12)*(0 + 0). Suppose -5*h + 0*h - 20 = q. Let p(z) = -z**2 - z. Let y(m) = -m**3 + m - 3. Let n(v) = 4*p(v) + y(v). Determine n(h).
9
Let q = -8 + 12. Suppose q - 5 = -r. Let b(u) = -7*u + 1. Calculate b(r).
-6
Let m(d) = 2*d - 2. Let y(w) = 3*w - 1. Let x(s) = -4*m(s) + 3*y(s). Calculate x(5).
10
Suppose z = -3*i, -8 + 5 = z. Let t = 33 + -39. Let w(y) = 10*y**3 - 2*y**2 + 2*y - 1. Let m(c) = c**3. Let f(h) = t*m(h) + w(h). What is f(i)?
3
Suppose -10*h - 36 + 46 = 0. Let o(t) = -t**2 + 2*t - 1. What is o(h)?
0
Let t(n) = -n**2 - 7*n - 4. Let w be (-370)/34 - (-16)/(-136). Let u(m) = -m**2 - 11*m - 7. Let y be u(w). Determine t(y).
-4
Let l(i) = 49 + 55 + 0*i - 107 - i. What is l(-6)?
3
Let c be 1/2 - 14/(-4). Let a(t) = -2*t**2 + 6*t - 5. Let f(s) = -s**2. Let q(v) = a(v) - f(v). What is q(c)?
3
Let l(n) = 5*n**2 + 1. Let i = 13 + -13. Suppose i = z - 45 + 44. Calculate l(z).
6
Let p(z) = -z**3 + 6*z**2 - 4*z + 2. Suppose 11 = 2*t + x, -5*t + 31 = -t + 5*x. Give p(t).
18
Let l(x) = -9*x - 45. Let r be l(-5). Let o(j) be the third derivative of -j**3 + 1/12*j**4 + r*j - 4*j**2 + 0. Determine o(6).
6
Let n(y) = -4*y - 14. Let f(v) = v - 2*v - 11 - 2 - 4*v. Let t(r) = -3*f(r) + 4*n(r). Determine t(0).
-17
Let f(x) = -18 + 7*x - 5631*x**2 + 7 + 5632*x**2. Determine f(-9).
7
Suppose 18*h = 23*h. Suppose p + 32 = 4*j + 3, -5*j - 4*p + 31 = h. Let f(b) = 2*b - 6. Determine f(j).
8
Let r = -1851 + 1849. Let x(m) = -m**3 + 2*m**2 + 2*m + 1. Calculate x(r).
13
Let x(m) = -m**2 + 7*m - 5. Let o be (-2)/((-5)/((-60)/(-8))). Suppose 2*f - 5*f = o*g - 33, -5*f - 2*g = -40. What is x(f)?
1
Let m(r) be the third derivative of -1/720*r**6 + 0*r**3 + 1/60*r**5 + 6*r**2 + 0 + 7/24*r**4 + 0*r. Let z(i) be the second derivative of m(i). Calculate z(2).
0
Let a(p) = p**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
884*u
Let n(u) = -3*u**2 - u + 1. Let h(b) = -17*b**2 - 6*b + 5. Let a(x) = -2*h(x) + 11*n(x). Let d(j) = -3*j**2 - 6*j - 11. Calculate -5*a(l) - d(l).
-2*l**2 + l + 6
Let l(u) = -u - 1. Let c(v) = 2*v + 10. Let z(a) = -c(a) - 3*l(a). Let w be z(-4). Let p(b) = -b**2 - 6*b. Let q(i) = 2*i**2 + 11*i. What is w*p(r) - 6*q(r)?
-r**2
Let a(q) = -q - 1. Let f be (4/(-6))/((-42)/2835). Let w be 2 - ((-10)/f - (-47)/9). Let i(h) = -2 - 3 - 4*h - 2*h. Determine w*i(d) + 15*a(d).
3*d
Let v(b) = 8*b - 7*b + 9*b. Let x(n) = 5*n. Let l(z) = 5*z**2 + 61*z + 113. Let s be l(-2). Determine s*x(o) - 6*v(o).
-5*o
Let x(k) = 2. Let y(z) = z. Let h be 3/(6 - -1 - 4) - -2. What is h*y(s) - x(s)?
3*s - 2
Let t(j) = 2*j**2 + 4*j + 5. Let w be t(-2). Let u(l) = -3 + 6 - w + 1 + 0. Let m(q) = -q**2 + q + 6. Give -m(i) - 5*u(i).
i**2 - i - 1
Let y(z) = -4*z**2 + 3*z - 1. Let m be -2 + 0 - (-950 + -1). Let p(k) = 1 + m*k - 476*k - 478*k + 7*k**2. Give -3*p(o) - 5*y(o).
-o**2 + 2
Let a(u) = -422*u + 22. Let k(f) = -208*f + 10. Calculate -6*a(o) + 13*k(o).
-172*o - 2
Let p be 3*(8 + -12)*(-3 + 10/3). Let i(l) = -l - 1. Let t(n) = -n + 1. What is p*t(f) + i(f)?
3*f - 5
Let k(c) = -57*c + 1. Let x(u) = -38*u**2 + 112*u - 7. Let b(m) = 2*k(m) + x(m). Let l(d) = 19*d**2 + d + 2. Calculate -2*b(g) - 5*l(g).
-19*g**2 - g
Let p(b) be the first derivative of -4*b**3 + 9*b**2/2 + 2*b + 6204. Let s(r) = -4*r + 1 - 3 + 6*r**2 + 1. Determine 2*p(v) + 5*s(v).
6*v**2 - 2*v - 1
Let d(w) = w**2 - 12*w - 74. Let m(z) = -z**2 + 10*z + 73. What is 5*d(g) + 6*m(g)?
-g**2 + 68
Let x(w) = 9*w**2 - w + 86. Let y(l) = 5*l**2 + 44. Give -4*x(b) + 7*y(b).
-b**2 + 4*b - 36
Let k(o) = o**2 - o. Suppose 2*p = 134 - 128. Suppose j - 16 = 5*j + p*g, 0 = 4*j - 5*g - 16. Let z(c) = -3*c**2 - 3*c. Determine j*z(q) + 3*k(q).
6*q**2
Suppose -4*l + 43 = 7*t, -4*t + 28 = -3*l + 7*l. Let u(o) = -2*o**2 - 5*o + 3. Let x be u(-4). Let m(q) = 3*q. Let j(a) = a. What is l*m(c) + x*j(c)?
-3*c
Let t(o) = -o**2 + 5*o - 1. Let b(c) = 6*c**2 - 23*c - 316. Give -b(g) - 4*t(g).
-2*g**2 + 3*g + 320
Let a(w) = w**2 - 2*w - 2. Let r(m) = -915*m**2 + 610*m + 610. Give 610*a(b) + 2*r(b).
-1220*b**2
Let x(p) = 1. Let c(h) = -2*h + 12. Let q(o) = 2*c(o) - 22*x(o). Let y(a) = -a. Let v be ((-5)/((-20)/112))/2. Suppose v*z = 13*z - 2. Calculate z*y(r) + q(r).
-2*r + 2
Let o(d) = 103*d - 59*d - 8 - 49*d - 1 + 11. Let u(n) = n. Let y be -4 - -1 - 3/1. Give y*u(r) - o(r).
-r - 2
Let u(d) = 26*d**2 + 6*d + 3 - 12 - 8. Let f(p) = -9*p**2 - 2*p + 6. Suppose 55*r - 53*r + 3*h + 19 = 0, -3*r - 31 = 4*h. Give r*f(z) - 6*u(z).
-3*z**2 - 2*z
Let o(x) = x**3. Let b(w) = -10*w**3. Let l = -123 + 68. Suppose -10 = -2*d, 2*d - 1783 = -4*t - d. Suppose 433*m = t*m + 54. What is l*o(n) + m*b(n)?
5*n**3
Let o(w) = 34*w**3 - 3*w**2 + 5*w - 11. Let g(n) = 15*n**3 - 2*n**2 + 2*n - 5. Determine -9*g(k) + 4*o(k).
k**3 + 6*k**2 + 2*k + 1
Let b(y) = 8 + y**2 + 3*y**2 - 2. Let u(h) = 2*h**2 + 3. Suppose 31 = -s + 42*r - 47*r, -4*r - 32 = 2*s. Calculate s*b(d) + 13*u(d).
2*d**2 + 3
Let j be 18/27 - ((-1006)/(-6) + 3). Let w be 8/(-18) + -5 + j/(-18). Let u(y) = -8*y - 9. Let d(i) = i + 1. What is w*u(r) + 36*d(r)?
4*r
Let z(w) = -w**2 - 5. Suppose -2*d - 4 = 2*d, -v + 5*d = -8. Suppose -5*k - 1 = -h - 7, 0 = 3*k - v. Let m(y) = -1 + 1 + 5 - 6. Give h*z(r) + 5*m(r).
r**2
Let g(n) = 11*n - 3. Suppose -156*j + 955 + 1134 = 685. Let k(c) = 22*c - 6. What is j*g(l) - 4*k(l)?
11*l - 3
Let z(c) be the first derivative of 10 + 13*c + 1/2*c**2 + 1/6*c**3. Let o(h) be the first derivative of z(h). Let p(t) = -2*t - 2. Calculate -8*o(a) - 5*p(a).
2*a + 2
Let s(x) = -5*x - 4. Let r = 871 - 885. Let l be 3/2 - (r/4 + -2). Let a(i) = -4*i - 3. Give l*a(c) - 6*s(c).
2*c + 3
Let l(i) = 7*i - 1. Let k(v) be the third derivative of -v**4/24 + 195*v**2. Give 10*k(q) + 2*l(q).
4*q - 2
Let p(k) = -34*k + 11. Let l(i) be the first derivative of -7/2*i**2 + 2*i - 116. Determine -11*l(r) + 2*p(r).
9*r
Let m(y) = -y**2 + y + 1. Let h(o) = 90*o**2 - 31*o - 11. Let p(t) = -41*t**2 + 14*t + 5. Let s(n) = -4*h(n) - 9*p(n). Determine -2*m(l) - s(l).
-7*l**2 - 1
Let r(o) = 9*o - 2. Let h(a) be the first derivative of a**2/2 - 366. Calculate 6*h(p) - r(p).
-3*p + 2
Let n(b) = -b**2 + 21*b - 3. Let m(z) = 2*z**2 - 37*z + 4. Calculate -3*m(i) - 5*n(i).
-i**2 + 6*i + 3
Let m(f) = 11*f**3 + f. Let k(i) be the third derivative of i**6/20 + i**4/24 + 2562*i**2. Let y be (-4)/18 + 172/(-36). What is y*k(a) + 3*m(a)?
3*a**3 - 2*a
Let i(k) = -1235*k**3 - 6*k**2 - 3. Let u(v) = v**3 - 2*v**2 - 1. Calculate -2*i(m) + 6*u(m).
2476*m**3
Let d(r) = -15*r**2 - 5*r + 1. Let i(p) = -52*p**2 - 17*p + 4. Let m(w) = -7*d(w) + 2*i(w). Let o(q) = -4*q**2 - 4*q - 13. What is -6*m(v) - o(v)?
-2*v**2 - 2*v + 7
Let v(a) = -a**3 + a**2 - 10*a + 1. Let q(i) = -4108*i**3 + i**2 - 10*i + 1. What is q(x) - v(x)?
-4107*x**3
Let j(i) = -24*i. Let z(v) = 49*v. Let g(s) = -35*s - 3077. Let x be g(-88). Calculate x*z(c) + 5*j(c).
27*c
Let x(p) = p. Let j(r) = r. Let c(w) = -2*j(w) + x(w). Let b = -5826 - -5825. Let a(u) = -u. Give b*c(n) + 4*a(n).
-3*n
Let b(u) = -5*u**2 + 166*u + 6. Let k(s) = -s**2 - 9*s + 1. Give -b(n) + 3*k(n).
2*n**2 - 193*n - 3
Let y(z) = -11*z + 14. Let x(j) = 4*j - 25. Let w(v) = -4*v + 29. Let s(r) = 5*w(r) + 6*x(r). Calculate 8*s(c) + 3*y(c).
-c + 2
Let g(u) = 35*u**2 + 784*u - 4. Let l(p) = p**3 + 122*p**2 + 2351*p - 14. Determine 7*g(r) - 2*l(r).
-2*r**3 + r**2 + 786*r
Let x(i) = -12*i**2 - 9. Let h(y) = -6*y**2 - 5. Suppose 14*l + 2 = 16*l. Let g be 0 + 9 + l - 495/99. What is g*x(b) - 9*h(b)?
-6*b**2
Let b(d) = d**2 - d + 2. Let y = 15 - 18. Suppose 16*x - 64 + 96 = 0. Let f(v) = 2*v - 3. Give x*f(k) + y*b(k).
-3*k**2 - k
Let d(c) = -3*c**3 + c + 1. Let u(f) = 12*f**3 - f**2 + 3. Give -5*d(m) + u(m).
27*m**3 - m**2 - 5*m - 2
Let z(q) = -17*q**3 + 117*q**2 - 9*q - 9. Let c(f) = 4*f**3 - 29*f**2 + 2*f + 2. Let g(n) = -n**2 + 63*n - 390. Let d be g(7). Give d*z(v) + 9*c(v).
2*v**3 - 27*v**2
Let q(v) = 5*v**2 - 16*v + 31. Let y(d) = 9*d**2 - 29*d + 61. Determine -11*q(r) + 6*y(r).
-r**2 + 2*r + 25
Let a(z) be the first derivative of z**3/3 - 1255. Let s(k) = 3. Give -3*a(x) + 3*s(x).
-3*x**2 + 9
Let w(d) = -d. Suppose 3*h - 4*u = -u - 30, -3*u = -5*h - 40. Let o(v) be the first derivative of -v**2 - 34. Determine h*o(m) + 8*w(m).
2*m
Suppose 13*f + 28 = -54*f + 39*f. Let j(v) = 1. Let k(p) = 32*p - 12. Determine f*k(o) - 10*j(o).
-32*o + 2
Let t(r) be the second derivative of -5*r**4/2 - r**3/3 + 5*r**2/2 + 2*r - 111. Let d(x) = -59*x**2 - 3*x + 9. Determine 4*d(v) - 7*t(v).
-26*v**2 + 2*v + 1
Suppose 4*a - 80 = 6*s - 11*s, -4*s = 3*a - 65. Suppose s*u - 39 = -199. Let i(x) = -14*x**2 + 2*x - 11. Let m(v) = -5*v**2 + v - 4. What is u*m(b) + 3*i(b)?
-2*b**2 - 2*b - 1
Let s(n) = n**3 - 4*n**2 - 6*n - 2391. Let i(g) = 5*g**3 - 21*g**2 - 33*g - 11955. Give -2*i(y) + 11*s(y).
y**3 - 2*y**2 - 2391
Let m(o) = 5*o - 4. Let u = -6661 - -6658. Let v(x) = -6*x + 4. Calculate u*m(w) - 2*v(w).
-3*w + 4
Let y(w) = -816*w**2 - 128*w. Let u(k) = 32*k**2 + 5*k. Let q(n) = -129*n**3 - 3*n**2 - 46*n - 44. Let i be q(-1). What is i*u(o) + 5*y(o)?
16*o**2
Let m(k) = 1. Let r(d) = 3. Let t(o) = -4*m(o) + r(o). Let s(i) = 1 + 194*i - 193*i + 4 + 0. Give s(z) + 5*t(z).
z
Suppose 7*l = 534 + 180. Suppose -l*y = -90*y + 36. Let f(z) = -8*z + 9. Let r(m) = 4*m - 4. Determine y*f(i) - 7*r(i).
-4*i + 1
Suppose -5*i - 19 = 2*w, 2*i - 3*w + 10 = -9. Let f(v) = 13*v + 7. Suppose 82*n - 5535 = -5371. Let s(j) = 6*j + 3. What is i*s(t) + n*f(t)?
-4*t - 1
Let c(g) = 11*g**3 - 3*g**2 + 7*g + 4. Let o(t) = -6*t**3 + 2*t**2 - 4*t - 2. Let f(x) = -166*x + 339. Let m be f(2). What is m*o(q) + 4*c(q)?
2*q**3 + 2*q**2 + 2
Let d(w) = -47*w**2 - 12*w - 23. Let m(o) = -239*o**2 - 58*o - 111. Let a(s) = -14*d(s) + 3*m(s). Let r(p) = 12*p**2 + p + 2. Calculate 4*a(v) + 22*r(v).
28*v**2 - 2*v
Let b(o) = 95*o - 297. Let s(p) = 96*p - 321. Let i(v) = -13*b(v) + 12*s(v). Let h(w) = -21*w + 2. Determine 18*h(z) - 4*i(z).
-46*z
Let n(p) = 49*p**2 + 14*p - 19. Let u(g) = g**2 - 10. Determine n(m) - 2*u(m).
47*m**2 + 14*m + 1
Let q(s) = -5 - 32*s - 126*s + 4 + 132*s. Let u(m) = 104*m + 3. Give 9*q(g) + 2*u(g).
-26*g - 3
Let u(s) be the second d
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{
"pile_set_name": "DM Mathematics"
}
|
**2 + 2*w - 1. Let a be h(t). Solve 4 = -a*r - 2 for r.
-2
Let z(p) = p**3 - 8*p**2 + 4*p + 24. Let s be 20/3 + 4/12. Let f be z(s). Solve u - f = -1 for u.
2
Suppose -10*h = -15 - 25. Solve h = 9*u - 5 for u.
1
Let i be 23 + (10 - 0) + -9. Solve t - i = 7*t for t.
-4
Let d = 39 + -38. Suppose 3*o - d + 4 = 0, 5*o = -2*w + 7. Solve 5*v = -9 - w for v.
-3
Let z be (-12 - -12) + (-6)/(-2). Solve -f + 0*f = -z for f.
3
Suppose -4*p - 4 = 0, 4*p = -5*a + 9*p + 5. Solve a = 4*x - 1 - 15 for x.
4
Let a be (-6 + 3)*1 + 3. Suppose z = 3*z + 10. Let y be 2/2*(-10)/z. Solve 0*p - 2*p - y = a for p.
-1
Let t(q) = q**3 - 14*q**2 + 15*q - 12. Let v be t(13). Let b be v/(-14) - 1*-6. Let d(j) = j**3 - 3*j**2 - 7*j + 5. Let k be d(b). Solve 7*f = 2*f + k for f.
4
Suppose -5*j - 65 = -5*r, 0 = -3*j + 2*r - 2 - 37. Let y(n) = -9*n**3 - 1. Let g be y(1). Let s = g - j. Solve s*l = 5*l for l.
0
Suppose -2*s - 27 = -47. Solve 0 = -s*m + 5*m - 15 for m.
-3
Let z = 5 - 5. Suppose z = -5*y + 3*r - 1 + 5, 5*y - 14 = -2*r. Suppose -y*t = -5*t + 9. Solve 3 = -t*d - 3 for d.
-2
Let f = 24 + -24. Suppose 5*q - 3*h + 310 = 2*h, -4*q - 4*h - 208 = f. Let x be 2/8 + q/(-12). Solve o + x = -0*o for o.
-5
Let g be 65 - (4/6 + 49/21). Let m = g + -58. Solve -m*u + 5*u = -1 for u.
-1
Suppose -32 + 4 = -7*u. Let i(k) = 8*k - 8. Let w be i(1). Solve l = -u - w for l.
-4
Suppose 238*p = 243*p - 15. Let u be (12/(-4))/p + (5 - 1). Solve 2*o = -u - 3 for o.
-3
Let i(a) = a**2 - 6*a + 4. Let q be i(3). Let t be q/((-5)/(-4)*-2). Suppose -12 = -2*l - o + 18, -3*o = -t*l + 38. Solve 0 = -5*u + u + l for u.
4
Let x be 50/75*3/2. Let c be -2 - (-3 + 1)/x. Let r be (1 - 0)/(1/3). Solve -r*v + c = -6 for v.
2
Suppose 5*q + 0 = -4*g + 41, 3*g - 17 = -q. Let f be 1*25 + (-33)/(-11). Let o = f + -28. Solve -g*r - 3 + 15 = o for r.
3
Let o be (-6)/(-2) - 4/(-2). Suppose -o = -7*g + 9. Suppose -g*q = -7*q. Solve -c - 8 + 3 = q for c.
-5
Let d(y) = y**2 - 30*y + 31. Let l be d(29). Solve -6 = x + l*x for x.
-2
Let k(n) = n - 1. Let y be k(3). Suppose y*l - 13 = 9. Solve 4*d = -l - 1 for d.
-3
Suppose -3*n = -0*n. Let u(x) = -2*x**2 - 5 - 22*x + 21 + 9*x + 12*x. Let b be u(n). Solve 0*c + 4*c + b = 0 for c.
-4
Let x = 933 + -919. Solve p - 19 = -x for p.
5
Let l(k) = -k**2 + 8*k - 15. Let a be l(4). Let y be (a/(4 - 1))/(36/108). Solve -h - y = -2 for h.
1
Let n be 0/(1*(-2)/1). Suppose 5*d - u - 86 = -3*u, -3*d - 3*u = -57. Let w be 16/(-14)*42/(-12). Solve w*c = -n*c + d for c.
4
Suppose 40 = 15*x - 11*x - b, 0 = 5*b + 20. Let a = -18 + 12. Let u(c) = -c**3 - 7*c**2 - 8*c - 9. Let z be u(a). Solve -6 - x = z*g for g.
-5
Let l(i) = i**3 + 3*i**2 - 7*i - 8. Let n be l(-4). Suppose 2*w = -4*j, -w - j - 6 = n*j. Solve 0 = -2*o - 2*o - w for o.
-1
Suppose -14*g + 11*g = 0. Suppose -3*r + 9 = q, -5*q + g*q = 2*r + 7. Solve 2 - 6 = r*x for x.
-1
Let d be 1 - (11 + -1) - 0. Let t = 3 - d. Solve t = -2*s - s for s.
-4
Let k(r) = r**3 - r**2 + 4*r - 8. Let v(s) = s**3 - 2*s**2 + 4*s - 7. Let i(y) = 4*k(y) - 5*v(y). Let q be i(5). Solve 11*f - 12 = q*f for f.
4
Let q be 5*((-9)/(-2) + (-15)/10). Solve -6*c - 3 = q for c.
-3
Suppose 8*t + 11*t - 418 = 0. Suppose q - 5*q + 2*a + t = 0, -3*q = 2*a + 1. Solve -1 = -2*w + q*w for w.
-1
Suppose -8*l + 35 = -4*l - u, -5*l - 5*u = -50. Solve l*t - 4*t = -20 for t.
-4
Suppose 4 = 2*c - 4. Let f be 8/c*(-3)/(-2). Suppose -y - f*n = -4*y + 18, 0 = -2*n - 4. Solve -y*g = -9*g for g.
0
Suppose -3*b + 0*b - j + 1977 = 0, 0 = -j - 3. Suppose 2*z - 2*f + b = -3*z, z = 4*f - 132. Let d be (-1)/3 - z/18. Solve 3*c + 8 = -d for c.
-5
Let b(g) = -2*g**2 - 3 + 3*g**2 - g**2 + 5*g - g**2. Let t be b(3). Solve f + t = -0*f for f.
-3
Let n be -1*6/51 - 119691/(-527). Solve n = -3*g + 218 for g.
-3
Let s(g) = 5*g**2 + 19*g - 4. Let z be s(-4). Solve z = -4*c - 0*c + 20 for c.
5
Let j be 3*-4 - (-25 + -14). Solve h = -8*h - j for h.
-3
Let c(r) = r**3 + 5*r**2 + 5*r + 6. Let i be c(-4). Let w = -15 + 25. Solve 2*l - i = -w for l.
-4
Let p(r) = -r**3 - 6*r**2 - 6*r - 6. Let n be p(-4). Let b be (-2)/((-3)/(-18) - n/(-12)). Solve 4 = -b*t - 0 for t.
-2
Suppose -w + 2 = 2*j, -2*w = -5*j - 5*w + 3. Solve j*i - 7 + 7 = 0 for i.
0
Let k(t) = t**2 - 4*t - 28. Let a be k(-4). Solve 0 = a*g + g for g.
0
Let u be (-4 + 8 - 5) + -1. Let v be (-3)/(-4)*u + (-45)/(-30). Solve -8 + v = -4*h for h.
2
Suppose -2*o + 0 + 1 = y, 2*y + 2*o = 6. Solve y*t = -t - 30 for t.
-5
Suppose 0 = -25*a + 29*a. Solve 0*x - 2*x = a for x.
0
Suppose -165 = -v - 2*v. Suppose 7 - v = -8*r. Solve 2*t + 0 = r for t.
3
Let q(p) = p + 22. Let z be q(-17). Let g be (11 - (-1 + z)) + -5. Solve 0 = 2*t - t + g for t.
-2
Let j(v) = v**2 + v - 42. Let f be j(-7). Suppose f = 3*z + 5*q - 43, -z - 4 = -5*q + 15. Solve 3 = 3*x + z for x.
-1
Let l(j) = -10*j + 12*j + j**2 + 13 - 6 + 6*j. Let c be l(-7). Solve c = 3*t - 0 + 9 for t.
-3
Let d = -19 + 19. Suppose -11 = -w - 2*q, d = -4*w - q + 3*q + 34. Solve -2*v + w = -5*v for v.
-3
Let l(h) be the first derivative of -h**2/2 - 2*h - 2. Suppose 0 = -2*b - 20. Let t be l(b). Solve -a + 3 - t = 0 for a.
-5
Let s(z) = -z + 1. Let k = 19 + -3. Suppose -k = 2*p - 8. Let g be s(p). Solve 2 = -g*h - 3 for h.
-1
Let x(j) = j**2 + 6 - 5*j - 3*j**2 + j**2. Let v be x(-6). Let f be v + 4 + 0 + 3. Solve -4*p = -f*p + 6 for p.
2
Suppose 10*f - 4 - 76 = 0. Solve -1 = 3*d + f for d.
-3
Suppose 0 = -5*x - 3*t + 18, -4*t = 12*x - 8*x - 16. Solve x*b = 20 - 5 for b.
5
Let j be (-2 - (4 - 6))*1. Solve j = 2*q - 2 - 0 for q.
1
Let l = -92 - -97. Solve -l + 7 = -o for o.
-2
Suppose 4*w - 62 = -5*h, -3*h - 2*w + 26 = -10. Solve -h*n + 6*n = 20 for n.
-5
Suppose -8*c = -13*c + 175. Solve -4*k = -11*k - c for k.
-5
Let k(v) = v**2 - v - 6. Suppose 4*d = 6 + 6. Let s be k(d). Suppose -r - 5*m = s, -m = -4*r - 2*m + 19. Solve 3*o + r = 17 for o.
4
Suppose 5*f - 205 + 75 = -5*v, -4*f + 20 = v. Solve v = 23*u - 16*u for u.
4
Suppose -27*f + 54 = -0*f. Solve -f*k - 3 = -3*k for k.
3
Let l(n) = -n**3 - 12*n**2 + 4. Suppose 5*r + 65 - 5 = 0. Let y be l(r). Solve 0 = -2*u - 0*u + y for u.
2
Suppose 3*l = -3*d + 9, -l + 3*d = -2*l + 9. Suppose -w + 2 = l, -4*w = -2*z + w - 2. Solve z = -t - 1 for t.
-5
Suppose -25 = 11*v - 16*v. Solve -g - v = -2 for g.
-3
Let f(b) = 65*b**3 - 2*b**2 - 2*b + 2. Let n be f(1). Solve -c = -n + 67 for c.
-4
Suppose -5*s - l + 322 = 0, -2*l + 6*l = -4*s + 264. Let k be 9/5 + s/(-80). Solve -w = -k - 2 for w.
3
Let x(y) = -y**2 - y + 14. Let o be x(3). Solve -20 = o*p - 7*p for p.
4
Let q(v) = v**3 - 19*v**2 + 2*v - 36. Let u be q(19). Let l be (13/3 + -5)/(u/(-6)). Solve -3 = -r - l*r for r.
1
Suppose -44 = -15*d + 16. Solve d = -4*q - 0 for q.
-1
Let x(f) = 4*f + 3*f + 3*f - 12 - 13*f. Let t(r) = -5*r + 26. Let p be t(6). Let u be x(p). Solve u = 6*l - l - 25 for l.
5
Suppose 3*m = 3*m + 2*m. Suppose -2*b + 2*b - b = m. Solve -2*k + 4*k = b for k.
0
Let y = 26 - 24. Suppose 0 = -y*s + 9*s - s. Solve 2*d + 0*d - 8 = s for d.
4
Let c(m) = -m**2 - 8*m - 4. Let s = -11 - -20. Suppose 4*g + 15 + s = 0. Let f be c(g). Solve 0 = -f*x + 4*x + 20 for x.
5
Let s be (-150)/(-8) - (-1 + 14/8). Let b = s - 14. Solve b*z + 1 = 5 for z.
1
Let m be (-204)/(-119) + -4*(-1)/14. Solve 0 = 4*b - m + 14 for b.
-3
Let r = -11 + 15. Suppose -r*n - 2*n + 30 = 0. Solve -10 = -0*x - n*x for x.
2
Let w(g) = -6*g + 21. Let q be w(10). Let r = q - -43. Suppose 0*c = c - 4. Solve 16 = r*m - c for m.
5
Let m = 60 + -58. Solve -8*q + m - 26 = 0 for q.
-3
Suppose 0 = -6*j + j + 10. Suppose 40 = 5*z - 0*z. Suppose -2*v + 16 = 2*n, -12*v - n = -8*v - 26. Solve -v*c = -j*c - z for c.
2
Suppose -610*p + 189 = -601*p. Solve 23 = -v + p for v.
-2
Suppose -16*d - 5 = -11*d. Let v be -1 + 4 + d + 0. Solve 0 = -3*k + v*k + 5 for k.
5
Suppose -2*v - 5*p + 115 = 106, 2*v + 1 = 5*p. Solve -v*b - 23 + 31 = 0 for b.
4
Suppose -i = 36 - 61. Solve 21*w - 4 = i*w for w.
-1
Let y = -344 + 349. Suppose 60 = 6*n - 2*n. Solve -2*q + y*q = -n for q.
-5
Let x be (-1 - -2 - 0)*0. Suppose x = 2*d - 0*d - 5*z + 4, -d + 5*z = 12. Let m = 8 - d. Solve m*r + 5*r = 10 for r.
2
Suppose -c - 95 = -0*s + 2*s, 3*c + 193 = -4*s. Let x = s + 29. Let f = 25 + x. Solve 4*z + f = -0*z for z.
-2
Suppose l - 4 = 0, 7*s - 4*s = 3*l - 6. Solve -i + 2
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{
"pile_set_name": "DM Mathematics"
}
|
pose 0 = -2*k - 0*k - 964. Let s = k + 3356/7. What is the common denominator of s and -39/5?
35
Let a = 2/195 + -4363/780. Let n = -1 + -2. What is the common denominator of a and 2/n*101/8?
12
Let d be ((-40)/(-6))/((-2)/(-6)). Let i = -12 + d. What is the lowest common multiple of i and (6*7/14)/((-1)/(-3))?
72
Let f = -2/271145 - -895333/154940. Let n be (-6332)/630 + (-10)/(-45). Let i = n + f. What is the common denominator of 41/6 and i?
60
Let l = -11421/8 + 1424. What is the common denominator of l and -11/3?
24
Let b be (-2097)/213*9/2. Let v = 14/71 - b. Find the common denominator of -49/5 and v.
10
Calculate the lowest common multiple of 20/((-70)/7)*42/(-4) and 30.
210
Suppose -5*x - f = 227, x - 5*f = 4*x + 123. Calculate the common denominator of x and 15*(-4)/12 + 51/(-10).
10
Suppose 25 = -2*n + o, n - 2*o + 10 = -4*o. Let i = -6609 + 105695/16. What is the common denominator of 15/n*(-34)/(-8) and i?
16
Let r be -3 - (-3 - (-5)/1). Let c(i) = 3*i - 5*i + 1 + 1 + 0. What is the lowest common multiple of 6 and c(r)?
12
Suppose 7 - 1 = y. Calculate the lowest common multiple of y and 30.
30
Suppose -4*r = -2*m + 6, -r + 4*m - m - 14 = 0. Let t be 29 + -1*(r - 2). Find the common denominator of -113/10 and (-555)/20*4/t.
10
Let q = -77901/16496 - -36/1031. Calculate the common denominator of q and 374/(-12) - (-6)/9.
16
Calculate the smallest common multiple of (-3164)/(-63) + (-4)/18 and 35.
350
Let n be (-3)/3 + (-70802)/(-9768). Let y = n + 2/1221. Let m = 7936 + -174503/22. Calculate the common denominator of y and m.
44
Let f = -16 + 28/3. What is the common denominator of -65/42 and f?
42
Suppose 2*r - 2 = 4*l - 3*l, 16 = 4*r. Let p(b) = -11 + 11 - 5*b. What is the least common multiple of l and p(-4)?
60
Let i = 63/53 + -1872/371. Let v(z) = z + 2248. Let s be v(0). Let w = s + -20179/9. Find the common denominator of i and w.
63
Let t = -3 - -5. Suppose 4*v = t*b - 32, v + 4 = -2*b + 51. What is the least common multiple of 4 and b?
44
Let i = 5077/1580 + -558/79. Let c = -285786 - -10287421/36. Let g = -263/9 - c. Find the common denominator of g and i.
60
Suppose 4*m + 26 = 6*m. Let b be 5/((-10)/(-8) - 1). Let i = b - m. Calculate the least common multiple of 3 and i.
21
Suppose -2*q - 3*q + 5*k + 30 = 0, -3*k = 3*q - 18. Suppose -10 = 4*f + q. Calculate the least common multiple of 14 + f + 2 - 2 and 12.
60
Let t be (-4270)/(-4) + 4 + -6. Let h = t + -1023. What is the common denominator of h and -37/18?
18
Suppose -6 = 5*v - 2*v, 5*c - 194 = -3*v. Suppose -c = -2*h - 3*h. What is the smallest common multiple of (-1)/4 - 13/(-4) and h?
24
Let g(k) = k**2 + k - 2. Let v be g(2). Suppose -8 = 4*y + v. Find the common denominator of 13/9 and (14/(-3))/(5/y).
45
Let p = 111/8 - 15. What is the common denominator of -115/12 and p?
24
Let t(d) = 2*d - 4. Let h be t(3). What is the least common multiple of 2/2 - (3 + -6) and (-1 - 14)*h/(-5)?
12
Let w be 0 - 0 - (0 + 2). Find the common denominator of (w + (-13)/(-6))*-113 and -2 + 3 + 1/8*-43.
24
Let y = 845 - 3303/4. Calculate the common denominator of -7/4 and y.
4
Let c = 43723/25872 - 4/1617. Find the common denominator of c and -101/20.
80
Let t be -1 + (3 - 1) - 1. Suppose t = n + 2 - 1. What is the common denominator of n/(-2) + (-105)/8 and 7/18?
72
Suppose 4*d - 10 = 2. Suppose 2*w + d*r = -2*w + 15, 3 = -r. Calculate the smallest common multiple of 1/((-28)/16 + 2) and w.
12
Suppose 7*n - 2*n + 157 = -m, -2*n - 5*m - 49 = 0. Find the common denominator of 131/6 and n.
6
Let c(o) = o. Let g be c(4). Suppose h = g*h - 54. Calculate the smallest common multiple of 6 and h.
18
What is the common denominator of ((-25)/(-40))/(7/(-92)) and -33/8?
56
Let h(x) = x + 10. Suppose 2*d = 0, 3*b + 3*d + 0 = -18. Calculate the smallest common multiple of h(6) and (0 + 8/b)*-6.
16
Let d = -12 - -18. Calculate the least common multiple of ((-1)/1)/((-3)/54) and d.
18
Let q be (-13326)/56 - (-3)/12. Let s = q + 237. Find the common denominator of 0 and s.
7
Suppose 69 - 9 = 3*s. What is the least common multiple of 4 and s?
20
Let g = 1500 + -2919/2. Find the common denominator of g and -26/11.
22
Let o = -87 - -105. What is the least common multiple of 39 and o?
234
Suppose -3*r - 11 = -h, 0*h + 5*h + r - 71 = 0. What is the lowest common multiple of 32 and h?
224
Suppose -2*z = -4*z - 4*t - 10, z + 4*t + 15 = 0. Suppose 3*q + 4 = y, -z*q + 1 = 5*y - 59. What is the least common multiple of y and 14?
70
Let w(z) = -32*z**2 + 3*z - 14. Let s be w(-15). Let p = 87049/12 + s. What is the common denominator of 13/16 and p?
48
Suppose 0 = -22*x + 20*x + 4. What is the least common multiple of 10 and x?
10
Let u be (2908414/(-6))/((-1)/96). Let c = -1023529339/22 + u. Let q = 10567 - c. What is the common denominator of -1/18 and q?
198
Suppose 5*o + 4*j - 86 + 16 = 0, 56 = 4*o + 4*j. Let g(n) = -2*n - 1. Let b be g(-1). Calculate the lowest common multiple of o and b/3 + 65/3.
154
Let c = -12457/6 + 2060. Find the common denominator of c and 23/3.
6
Let c(r) = -r**3 - 5*r**2 - 7*r - 5. Let t(f) = -f**2 + 2*f + 3. Let v be t(3). Suppose -2*u + 6 = -v*u. Calculate the least common multiple of c(-4) and u.
21
Suppose 0 = -5*c + 5*z + 100, 3*c = 5*z + 61 + 3. Calculate the smallest common multiple of 30 and c.
90
Let d = -9 - -14. Suppose -a - 35 = -4*p, -4*p + d*a = p - 25. Calculate the least common multiple of p and 8.
40
Suppose 5*s - 45 = -4*s. What is the least common multiple of s and 7?
35
Let m = 481/2 + -223. What is the common denominator of 79/(-14) + (-72)/(-126) and m?
14
Suppose b - 25 = 6*o - 2*o, 0 = -3*b - 3*o. Let x(i) = 2*i + 2. Let v be x(-7). Let t = 19 + v. Calculate the lowest common multiple of t and b.
35
Let k(d) = -d**3 - 33*d**2 - 30*d + 68. What is the smallest common multiple of 24 and k(-32)?
24
Let m be (-1)/4 + (-207404)/(-176). Let i = -27565931/23397 + m. Let o = -75865/4254 - i. Calculate the common denominator of o and -31/6.
6
Calculate the common denominator of (-2)/9 + (-1874)/(-252) and -4 + 1 - (-298)/44.
154
Let p be 9/5*40/12. Calculate the common denominator of 7/10 and 6/p + (-42)/32.
80
Let q = 51 - 23. Let n = q - 26. Calculate the smallest common multiple of 3 and n.
6
Let f = 9/23 - 1991/92. Find the common denominator of f and 79/8.
8
What is the common denominator of (-15)/(-48)*(-66)/10 and 131/12?
48
Let p(n) = 44*n - 1. Let s be p(-1). Calculate the smallest common multiple of (-16)/20*s/2 and 14.
126
Suppose 0 = -6*a + 3*a - 606. Calculate the common denominator of -36/7 and 2 + -1 - a/12.
42
Suppose 2*t + 3*v = v + 70, 140 = 4*t + v. Calculate the lowest common multiple of t and 4.
140
Let u = 6 - 5. Calculate the smallest common multiple of 7 and u.
7
Suppose 0 = x, -7*r + 3*r + 80 = -3*x. Let p = 42 + -20. What is the smallest common multiple of r and p?
220
Let a = -26 - -60. Calculate the least common multiple of 16 and a.
272
Let n = -43/10 + 271/20. Calculate the common denominator of n and 23/14.
28
Let z(x) = x**3 - 15*x**2 + 13*x + 16. Suppose -3*g = -j - 37, -j - 4*j + 25 = 0. Calculate the lowest common multiple of z(g) and 4.
4
What is the common denominator of -121/10 and (-2)/20*(11 - (0 - 2))?
10
Let d = 1729/984 - 49/164. What is the common denominator of d and -44/21?
168
Suppose -5*x + 8 = -27. What is the lowest common multiple of (-44)/(-2)*1/2 and x?
77
Let w = -125 - -135. What is the least common multiple of w and 68/7 - 2/(-7)?
10
Let r = -24 + 25. Let n = r + 23. What is the lowest common multiple of n and 20?
120
Let z be (-1 + -1)*(-50)/2. What is the common denominator of 73/12 and (-36)/(-21)*(-105)/z?
60
Calculate the common denominator of ((-99)/5)/((-80)/(-50)) and 65/2.
8
Let d(n) = -n**3 + 6*n**2 + 7*n + 10. Suppose 4*m - 28 = -0*m. Suppose 19 = 4*v - v + y, 0 = -5*y - 25. What is the lowest common multiple of v and d(m)?
40
Let c = 335/10076 - -8/229. Let o = c + 373/176. Find the common denominator of o and 302/12 - 0/15.
48
Suppose -5*z + 0*d + 88 = d, -26 = -z + 4*d. Let l(t) = 2*t**2 + 13*t - 16. Calculate the lowest common multiple of z and l(-8).
72
Let j = 333 + -235. Let z = -1506 - -6073/4. Calculate the common denominator of 10/(-25) - j/(-20) and z.
4
Let i = -13835/8 + 1727. What
|
{
"pile_set_name": "DM Mathematics"
}
|
w) be the first derivative of w**2/2 + 2. Let c(f) be the third derivative of 5*f**4/4 - 12*f**2 + 34. Determine c(q(y)).
30*y
Let w(h) = -2*h**2 + 5. Let p(t) = -t**2 + 3. Let n(f) = 5*p(f) - 3*w(f). Let q(r) be the first derivative of 25*r**3/3 - 5254. Calculate q(n(d)).
25*d**4
Let m(w) = 2*w - 191. Let z(q) = 2*q**2 - 3*q**2 - 12*q**2 + 11*q**2. Give m(z(j)).
-4*j**2 - 191
Let p(k) be the second derivative of -k**4/12 + k. Let h be ((-13)/2 - 1)*-54. Let u(c) = -6*c - h + 405. What is u(p(y))?
6*y**2
Let h(d) be the second derivative of d**4 + 119*d. Let g(f) = -58*f**2. Calculate g(h(w)).
-8352*w**4
Let s(g) = 508*g**2 + 1. Let h(n) = -1588*n + 2. Calculate h(s(j)).
-806704*j**2 - 1586
Let a(r) = 2*r**2 + 5*r - 5*r. Let x(h) be the first derivative of 13*h**4/12 - 28*h + 21. Let t(n) be the first derivative of x(n). Determine t(a(g)).
52*g**4
Let i(w) = -207*w**2. Let d(r) = 7*r**2 - 4. Let q(a) = 27*a**2 - 14. Let y(g) = 7*d(g) - 2*q(g). Calculate y(i(k)).
-214245*k**4
Let u(g) = -16835 + 33675 - 3*g - 16840. Let r(y) = -8*y. Let k(a) = a. Let p(o) = 6*k(o) + r(o). What is u(p(f))?
6*f
Let x(c) = 4076*c. Let u(z) = -3*z. Give u(x(g)).
-12228*g
Let o(n) = n**2 + 3*n**2 + n**2 + 3*n**2. Let w(q) = -3*q**2 + 4*q + 4. Let x(l) = -4*l**2 + 5*l + 5. Let y(v) = -5*w(v) + 4*x(v). Calculate y(o(g)).
-64*g**4
Let x(s) = 2*s. Let l(w) = -149544*w**2 - 1. What is x(l(j))?
-299088*j**2 - 2
Let h(j) = -17*j + 30*j - 14*j. Let v(z) = 6*z. Let f(r) be the third derivative of 25*r**4/24 + 4*r**2. Let d(l) = 6*f(l) - 26*v(l). What is h(d(q))?
6*q
Let m(o) = 7*o - 11*o + 4*o - 2*o - 2*o. Let l(k) = -182*k**2. What is m(l(h))?
728*h**2
Let o(y) = 2199*y**2. Let i(s) = -11*s**2. What is o(i(p))?
266079*p**4
Let o(x) = 36*x**2. Let y = 96 + -92. Let g(q) = -q + 6*q - y*q + 0*q. What is o(g(m))?
36*m**2
Let f(j) = j. Let v(r) = -26942*r. What is v(f(o))?
-26942*o
Let b(q) = 14*q**2. Let r = -46 - -40. Let o(n) = n**2 - n - 1. Let v(p) = 0 - 3*p - 1 + 2*p**2 - 2. Let k(z) = r*o(z) + 2*v(z). Give b(k(l)).
56*l**4
Let q(g) = 1057*g. Let b(k) = -k**2. Calculate b(q(a)).
-1117249*a**2
Let y(b) = -1. Let v(q) be the second derivative of q**3/6 - q**2/2 - 4*q. Let j(g) = -3*v(g) + 3*y(g). Let t(h) = -3*h. What is j(t(f))?
9*f
Let c(f) = 1356638*f**2. Let b(t) = 2*t. Calculate c(b(w)).
5426552*w**2
Let o(r) = 2*r**2 + 2541 - 2541. Let u(k) = -26*k**2. Calculate u(o(d)).
-104*d**4
Let o be 2/1 + (5 - 3). Let u(i) = -4 - 4*i + o. Let z(b) be the third derivative of b**4/12 + 11*b**2. What is u(z(j))?
-8*j
Let r(b) = -5*b**2 + 6*b. Let g(d) = -d + 4*d + 4*d - d - 7*d. Give r(g(n)).
-5*n**2 - 6*n
Let r(y) = 278*y - 149*y - 147*y. Let k(g) = g**2. Determine k(r(w)).
324*w**2
Let x(r) = 2*r**2. Let d(w) = -225159*w**2. What is x(d(t))?
101393150562*t**4
Let v(l) = -45*l**2 - 7*l. Let g(k) = -5*k + 119. What is v(g(b))?
-1125*b**2 + 53585*b - 638078
Suppose -5*y - 2*o - 1 = -3*o, 4 = -y + 4*o. Let f(g) be the second derivative of -1/6*g**4 - 3*g + 0 + y*g**2 + 0*g**3. Let u(c) = 3*c**2. Calculate u(f(h)).
12*h**4
Let d(p) = 64*p - 5. Let z(v) = -55*v + 6. Let k(i) = -6*d(i) - 5*z(i). Let m(x) = -2*x. Give m(k(g)).
218*g
Let z(n) = 845*n. Let u(a) = 2*a**2 - 24*a**2 + 0 + 19*a**2 + 0. What is z(u(l))?
-2535*l**2
Let v(c) = -3*c. Let d(t) = 103345*t**2. What is d(v(q))?
930105*q**2
Let o(r) be the first derivative of r**4/3 + 13*r - 19. Let b(j) be the first derivative of o(j). Let v(x) = -9*x**2. Determine b(v(n)).
324*n**4
Let d(s) = 11*s. Let f(k) = -441*k - 5. Determine d(f(l)).
-4851*l - 55
Let l(o) = 2*o**2 - 7*o - 7. Let i(k) = k**2 - 4*k - 4. Let h(a) = -7*i(a) + 4*l(a). Let j(t) = 42*t**2. Calculate h(j(q)).
1764*q**4
Let v(q) = 3*q. Let r be (5 + (-46)/6)/((-2)/6). Let g(n) = 16*n - n - r*n - 6*n. What is g(v(z))?
3*z
Let z(y) be the second derivative of 3*y**3/2 + 28*y. Let b(l) = 7*l**2. Determine z(b(t)).
63*t**2
Let v(d) = 4*d. Suppose 6*l = l + 110. Let i(a) = a. Let j(s) = l*i(s) - 6*v(s). Let f(g) = -2*g. Determine f(j(p)).
4*p
Let n(v) = -150395 + v**2 - 3*v**2 + 150395. Let a(r) = -2*r - 104. What is n(a(y))?
-8*y**2 - 832*y - 21632
Let n(x) be the second derivative of -15*x + 0*x**3 + 5/12*x**4 + 0 + 0*x**2. Let s(l) = l**2. Calculate s(n(u)).
25*u**4
Suppose -4*t = m - 23, 3*t = 2*m + 8 + 1. Let s be (-1)/m - 28/(-12). Let u(p) = -s*p - 16 + 16. Let c(g) = 2*g**2. Determine u(c(f)).
-4*f**2
Let d(z) = -z**2. Let x(s) be the first derivative of 2*s**2 + 1 - 13*s**2 + s**2. Give d(x(q)).
-400*q**2
Let x(s) = -6*s**2. Let r(y) be the second derivative of 16*y - 1/2*y**3 + 0 + 0*y**2. Determine x(r(z)).
-54*z**2
Let w(a) be the first derivative of -8*a + 13 + 0*a**2 - 8/3*a**4 + 0*a**3. Let m(j) be the first derivative of w(j). Let d(l) = l**2. Calculate d(m(q)).
1024*q**4
Let z(o) = 4*o**2. Let i(l) = 3*l**2 + 4*l - 4. Let d(w) = -24*w**2 + 12 - 86*w + 53*w + 21. Let t(j) = -4*d(j) - 33*i(j). Calculate t(z(p)).
-48*p**4
Let l(g) = -3*g**2. Let m = 231 + -231. Let n(i) be the third derivative of m*i**3 + 0 + 1/30*i**5 + 0*i**4 + 0*i + 3*i**2. Determine n(l(o)).
18*o**4
Let s(a) = 32*a. Let w(k) be the second derivative of k**4/3 - 527*k. Give s(w(q)).
128*q**2
Let g(n) = n**2 - 23. Let c(d) be the first derivative of -d**3/3 - 243. What is g(c(z))?
z**4 - 23
Let f(b) = -23*b + 21*b + 3*b. Let q(p) = 17*p + 20. What is f(q(c))?
17*c + 20
Let o(c) = -c**2 + 11*c - 1. Let f be o(11). Let w(d) = -15*d + 12. Let i(a) = -a + 1. Let j(p) = f*w(p) + 12*i(p). Let x(u) = -19*u. Give x(j(r)).
-57*r
Let g(p) = p**2 - 6*p + 28. Let v(m) = 2*m - 736. Determine v(g(c)).
2*c**2 - 12*c - 680
Let m(b) = -2*b**2. Let a(r) = -120319*r**2. Give m(a(j)).
-28953323522*j**4
Let i(x) = 346*x**2 + 358*x**2 - 698*x**2. Let n(p) = 2*p**2. Calculate n(i(y)).
72*y**4
Let u(r) = 9*r**2. Suppose 37*l - 33*l = 0. Let s(n) be the second derivative of 1/3*n**3 + 3*n + l*n**2 + 0. Give s(u(k)).
18*k**2
Let t(l) = -2*l. Let c(q) = 9*q**2 + 5 - 2 - 3 - 36*q**2. Calculate c(t(o)).
-108*o**2
Let j(w) = -w. Let b(y) = y**3 - 10*y**2 + y. Let z be b(10). Let d(k) = -11*k - z*k + 9*k - 4*k. What is j(d(i))?
16*i
Let m be -1 - 4*4*(-6)/12. Let z(j) = 6 - m*j**2 - 9 + 3. Let p(i) = -12*i - 9. Let f(l) = -3*l - 2. Let h(y) = 9*f(y) - 2*p(y). Give z(h(d)).
-63*d**2
Let s(h) = -h + 97111*h**2 + h - 97142*h**2. Let n(m) = 0*m - m + 2*m. Determine n(s(t)).
-31*t**2
Let r(x) = -2*x + 11080 - 11080. Let b(d) = -375*d + 3. Determine b(r(a)).
750*a + 3
Let q(d) = -2*d. Let i(a) be the second derivative of 169*a**4/12 - 15*a. Calculate i(q(f)).
676*f**2
Let m(d) be the second derivative of -d**3/3 + 85*d. Let w(i) = -2*i. Give w(m(u)).
4*u
Let b(u) = -73399*u. Let p(m) = -5*m. Calculate p(b(c)).
366995*c
Let v(w) = -9*w**2. Let j(s) = -s**3 + 9*s**2 + 11*s - 7. Let y be j(10). Let p(g) = -5*g**2 + y*g**2 + g**2. Calculate v(p(x)).
-9*x**4
Let r(w) = 3*w. Let l(x) = 127*x**2 + 5*x - 6. Determine l(r(o)).
1143*o**2 + 15*o - 6
Let a(z) = z**2 - 3*z**2 - z**2. Let g(h) = -39*h + 27. Let v(p) = -3*p + 2. Let x(m) = 2*g(m) - 27*v(m). What is a(x(c))?
-27*c**2
Let n(s) = -11*s**2 + 242*s. Let v(f) = 4*f. Give v(n(m)).
-44*m**2 + 968*m
Let w(j) = 85*j. Let y(q) = 1309*q. Determine y(w(n)).
111265*n
Let d(a) be the third derivative of 5*a**4/8 + 3*a**2. Let m(r) = 4*r + r - r - 3*r. Give d(m(k)).
15*k
Let f(s) be the first derivative of 8 + 208*s**2 + 10 - 207*s**2. Let d(b) = 2*b**2. Determine d(f(x)).
8*x**2
Let s(z) = -2*z. Let t(r) = 366304*r. What is s(t(n))?
-732608*n
Let b(v) = 4*v. Let k(q) be the third derivative of q**4/24 - q**3/6 - 2*q**2 - 75*q. What is b(k(j))?
4*j - 4
Let u(h) = -7*h. Let f be ((-4)/(-14) - 0) + (-48)/(-28). Let p(t) = -91*t**2 - 3*t + 92*t**f + 3*t. Determine u(p(w)).
-7*w**2
Let r(z) = 381*z. Let w(u) = 5*u. Determine w(r(p)).
1905*p
Let s(m) = 7*m**2. Let y(o) = 11*o**2. Let r be y(-1). Let d(w) = -r + 11 + 3*w + 0*w. Calculate d(s(u)).
21*u**2
Let l(a) be the second derivative of -a**4/3 - a + 11. Let x(j) be the third derivative of -3*j**2 + 1/24*j**4 + 0*j**3 + 0 + 0*j. Calculate x(l(v)).
-4*v**2
Let k(w) = -23*w + 6. Let r(s) = 71*s**2 - 7*s. Calculate r(k(f)).
37559*f**2 - 19435*f + 2514
Let a(h) = -33*h - 2. Let o(q) = -728*q**2. Calculate a(o(y)).
24024*y**2 - 2
Let u(m) be th
|
{
"pile_set_name": "DM Mathematics"
}
|
posite number?
False
Suppose 4*v = k - 37036, 4*k - 5*v = 146325 + 1808. Suppose 0 = 9*p - 33*p + k. Is p a composite number?
False
Let w(v) = 2*v**2 - 2*v**2 + 12*v**2 - 9*v**2 + 1243 - 5*v**2 + 2*v. Suppose -3*u = -4*u. Is w(u) a composite number?
True
Let q(p) = -p**2 - 22*p + 27. Let b be q(-23). Suppose -b*n + 14142 = 2*n. Is n prime?
True
Let q(s) = -976*s - 94. Let a be q(-5). Suppose 5*o + 2*f = a, -o + 4*f + 1368 = 402. Is o a composite number?
True
Let n(z) be the second derivative of 83*z**4/6 + 3*z**3/2 - 14*z**2 - 5*z. Let f be n(6). Suppose -r + f = 3*r - 2*w, 0 = w - 1. Is r a prime number?
False
Let u = -45 + 59. Let b(i) = 16 + 6*i + 21 + 16*i**2 - u*i. Is b(5) prime?
True
Let m = -1346 + 35073. Is m prime?
False
Is ((-6)/(-18))/((-4)/(-179724)) + -8 composite?
False
Let x(p) = 2*p**2 + 5*p - 28. Let b be x(3). Suppose -4*m + 16094 = -b*c + 7*c, -3*c = -m - 24113. Is c a prime number?
True
Let b(k) = k**3 - 3*k**2 - 3*k + 12. Let z be b(3). Suppose -z*g - 7886 = -5*g. Is g a prime number?
True
Suppose -3*c + 6*c - 2*n = -5, -1 = -n. Let p = c + 294. Is p composite?
False
Let q(w) = 7613*w**2 + 2*w - 2. Let a be q(2). Is -2*45/240 + a/16 a prime number?
False
Suppose -4971*a + 3277682 = -4934*a. Is a a composite number?
True
Let y = 719393 + -405802. Is y composite?
True
Let h = 1740589 + 16396. Is h a prime number?
False
Suppose -2591 = -5*l - 4*t, -3*t - 1010 = -2*l + 2*t. Suppose -5*n = -5030 - l. Is n a composite number?
False
Let u = -57613 - -113216. Is u a composite number?
False
Suppose 17*i - 14*i = 9. Suppose -3*d = k - 8492 + 2698, -i*k = 2*d - 3865. Is d a composite number?
False
Suppose -5*m + 350420 + 22865 = -4*i, 0 = m - i - 74658. Is m prime?
True
Let g = -16638 - -28529. Suppose -3*w - 2*r - 1033 = -g, -3*w = 4*r - 10850. Is w a composite number?
True
Let i(d) = -7*d**2 + 13*d - 1. Let s(r) = 3*r**2 - 7*r. Let k(o) = 2*i(o) + 5*s(o). Let l be k(9). Is (6/(-30))/(l/1910) prime?
True
Let q(n) be the third derivative of -4/3*n**3 + 0 - 2*n**2 + 1/30*n**5 + 5/24*n**4 + 0*n. Is q(6) a composite number?
True
Let p(a) be the second derivative of -a**4/12 + 3*a**2/2 - 17*a. Let b be p(0). Suppose 0 = -4*c + 5*o + 298, -b*o + 47 - 118 = -c. Is c a composite number?
True
Let m(z) = -z + 6. Let k be m(2). Suppose -1 + k = -c. Is 2/c*(-306)/4 + -2 composite?
True
Let m = 1425537 + -491654. Is m composite?
False
Let r(a) = 20*a**2 - 8*a - 2*a**3 + 3*a**3 - 10 - 26*a**2. Let s be r(8). Is (2 + 7/(-2))/(s/(-12708)) composite?
False
Suppose -16085 - 21086 = -14*z - 617. Is z a prime number?
False
Suppose -360*a = -361*a + 982. Is a*((-21)/(-6))/7 a prime number?
True
Let a be (2 + 16/(-3))/((-52)/725790). Let c = a - 24348. Is c composite?
True
Suppose 35*v - 230 = -510. Let i(r) be the third derivative of -41*r**4/8 - 17*r**3/6 - r**2. Is i(v) a prime number?
True
Suppose 28*v - 15318631 = 23*v - 2*b, -5*v + 15318637 = -b. Is v composite?
False
Let i be (-1 + -1984)/(-8 + 7). Let m be i/3 + 2*(-3)/(-18). Suppose -5*l = -8197 + m. Is l prime?
False
Suppose 0 = 4*p - 2*t - 2478, -4*p - 3*t = -0*t - 2453. Suppose 2*d - p = 4543. Is (6/(-2) - -4) + d a composite number?
True
Let y(n) = 21*n + 7. Let a(v) = -11*v - 3. Let d(i) = 10*a(i) + 4*y(i). Let h be d(-1). Suppose h*j = 29*j - 1855. Is j composite?
True
Let s(k) = k**3 - 5*k**2 + 67*k + 31547. Is s(0) composite?
False
Suppose -4*v = -3*f - 650, -f = -2*v + v + 217. Let x = -163 - f. Is x a prime number?
False
Suppose 57*w - 2252346 = 2787651. Is w a composite number?
True
Suppose -3*c = -5*m - 2*c - 3129, -c = 3*m + 1871. Let f = 2964 - m. Is f a composite number?
True
Suppose 3*h = -c - 2, -3*c - 4*h = -2*h - 1. Is 3845/(3 + -3 + c) composite?
True
Let y(m) = 3*m**2 - 21*m - 11. Let s(o) = -4*o**2 - 12*o - 3*o - 21 - 28*o + 11*o**2. Let l(c) = 2*s(c) - 5*y(c). Is l(9) prime?
True
Suppose -y - u = -178363, 229*y - 227*y + 3*u = 356728. Is y prime?
True
Let f(w) = 350*w**2 + w + 3. Let j be f(3). Suppose -j + 1061 = -5*h. Is h a composite number?
False
Let j be (-2364)/(-42)*1*7. Suppose 3*y + 7*v = 10*v + 276, 0 = 3*v - 15. Let o = y + j. Is o prime?
True
Suppose 24901 - 3625 = 6*r. Suppose -12 = 3*p, -p - p = 2*h - r. Is h a composite number?
False
Is (-96)/(-72)*(-1535412)/(-16) composite?
False
Suppose 2*m - 23098 = -2*i, 3*i + 2*m + 14718 - 49365 = 0. Is i a prime number?
True
Let f = 1 + 2. Let x(j) = 1419*j + 167. Let z be x(4). Suppose -f*s - 608 = -z. Is s prime?
False
Let a = -13703 - -66286. Is a a composite number?
False
Suppose 4*y - 3*f + 746 = 19782, -2*f = -2*y + 9514. Is y a composite number?
True
Suppose -d + 8*k + 28590 = -8553, -2*d - 2*k + 74322 = 0. Is d composite?
False
Suppose -27*l - 393124 = -1298353. Is l prime?
False
Let d = -421 - -426. Suppose 0*m - 14164 = -d*q + 3*m, 2*q - m = 5665. Is q a composite number?
True
Let q(a) = 53*a**3 - 32*a**2 - 27*a + 19. Is q(18) composite?
False
Let t(c) = 3*c**2 - 31*c + 16979. Is t(0) a prime number?
True
Suppose 2*r + n = -2, -5*n + 26 = -5*r + 3*r. Let y be (r/6)/(-1 - 23540/(-23536)). Let u = -609 - y. Is u prime?
True
Suppose 125066 = u - 107811. Is u prime?
True
Let w(p) = -p**2 + 13*p + 2. Let f be w(13). Suppose -137 = -3*x - 2*h, -f*x = -x - 5*h - 23. Let o = 1728 - x. Is o a composite number?
True
Let d be (-2)/3 - 152/(-12). Is ((-3)/(d/(-998)))/((-14)/(-476)) a prime number?
False
Suppose 95 = -10*g + 145. Suppose 0 = -g*u - 3*h + 21451, -4*u + 17148 = -2*h - 2*h. Is u a prime number?
True
Is (-1185)/(-6)*11798/85 prime?
False
Suppose -170 = 4*w - 5*w + 3*c, w + 5*c - 138 = 0. Suppose -w + 5 = -9*s. Suppose s*t - t - 14224 = 0. Is t a prime number?
False
Suppose -u = 4*k - 2258 - 73, 0 = -5*k + 3*u + 2935. Suppose -4*i - k + 9396 = 0. Is i composite?
False
Let o(a) = 467*a**2 - a + 1. Let l = 402 - 399. Is o(l) composite?
False
Suppose -2*x - 39 = 9. Let n = x + 31. Suppose -n*s + 2018 + 6305 = 0. Is s a prime number?
False
Let n(q) = -q + 21. Let h be n(17). Suppose -h*w - 4*l = -5280, -l = -3 + 2. Is w a prime number?
True
Suppose -4*h = q - 9, 6 = 2*q - q + h. Suppose 0 = -d + 3*d - 530. Suppose -m + q*x = -d, m + 4*m - 1325 = x. Is m prime?
False
Suppose -61914 + 93682 = -11*j. Let u be (0 + -2078)/(4/(-10)). Let b = j + u. Is b a composite number?
True
Let d = -161558 - -355571. Suppose 12*r = -33441 + d. Is r composite?
False
Let y(d) = 195*d**3 + d**2 + 14*d + 3. Let i(n) = n**2 + 2. Let b(o) = -6*i(o) + y(o). Is b(2) a composite number?
False
Suppose 2443 = 4*o - 23157. Let t = o + -3299. Let d = -1642 + t. Is d a composite number?
False
Suppose -b + 4*c = -16745 - 9454, c - 130890 = -5*b. Is b prime?
False
Suppose -90*f = -84*f + 24. Is ((-5373858)/(-207))/(f/(-6)) composite?
True
Let u be 13/8 + 30/80. Suppose 3*p = 4*p - 2*g - 87, -172 = -2*p + u*g. Is p a prime number?
False
Let t(z) = -39*z**2 - 12*z + 27. Let o be t(2). Is -2 - (1615255/o - (-4)/18) composite?
True
Let w = -312743 - -457714. Is w a prime number?
False
Suppose -16*c - 5*r + 476930 = -11*c, 95351 = c - 4*r. Is c composite?
True
Let i = -62307 - -139624. Is i prime?
True
Suppose -2*y - 5*u + 8*u - 1444 = 0, 0 = 4*y - 3*u + 2882. Let l = y - -3078. Is l prime?
False
Suppose 0 = 2*v + f - 6 - 10, 3*v + 2*f = 25. Let h = 337 - 326. Suppose v*m - h*m = -2692. Is m a composite number?
False
Let i = -126044 - -261087. Is i prime?
True
Is -4 + 9 - (-30)/(-3) - -27091*2 a prime number?
False
Let j(m) be the second derivative of m**3/6 - m**2 - 5*m. Let r be j(4). Suppose 4*d + r*d = 5190. Is d prime?
False
Let o = -77477 + 119026. Is o prime?
True
Let r(x) = -24*x**3 + 495*x**2 + 69*x + 33. Let c(z) = 8*z**3 - 165*z**2 - 23*z - 11. Let n(b) = -17*c(b) - 6*r(b). Is n(23) a prime number?
True
Let p(u) = 14584*u + 815. Is p(2) a composite number?
False
Let i be (1148/49)/(-2) + 2/(-7). Is (1 - -1)*412*i/(-96) a prime number?
True
Suppose 1779792 = -30*f + 42*f. Is f/(-70)*((-3)/2 - 1) composite?
False
Let i be (36 - 29)*4/7. Suppose -i*k - 2*t + 7012 = 0, 5*k = -4*t - 662 + 9427. Is k composite?
False
Let z(r) = -29*r. Let s(u) = 87*u - 1. Let l(k) = 2*s(k) + 7*z(k). Let m be l(-6). Suppose -5*y + 5*x + 430 = 0, -4*y = -2*y - 3*x - m. Is y a prime number?
False
Is 8 + (-1361)/(-3)*147 prime?
True
Let s be (-6)/(6/51 - (-2756)
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = p + 2*z. Let v = p - 35. Let s = -735/8 - -5513/56. What is the common denominator of v and s?
7
Let x be (-160)/6*(-144)/60. What is the smallest common multiple of 14 and (-45)/12*x/(-12)?
140
Let l(a) = 7277*a. Let f be l(-1). Let b = 58145/8 + f. Calculate the common denominator of b and 17/11.
88
Suppose w = z + 1, 0*z = -2*w - 5*z - 5. Suppose w = 3*k - 1 - 20. What is the least common multiple of k and 11?
77
Suppose -u = 5*y + 2*u - 1698, -1696 = -5*y - u. What is the common denominator of (0 - (-87)/(-20)) + -1 and -2 + (-3)/((-126)/y)?
140
Suppose 0 = 6*q - 7*q + 8. Let v(k) = k**3 - 7*k**2 - 5*k - 10. What is the least common multiple of v(q) and 16?
112
Let x = -51 + 79. Let m = -42 + x. Let g = -10 - m. Calculate the least common multiple of g and 2.
4
Let l = -6 + 6. Suppose l = 3*f - f - 36. Calculate the least common multiple of 20 and f.
180
Let o = -4537 - -27299/6. Let t be 69/(-15) - (-4)/(-10). What is the common denominator of o and 2/t + 79/20?
60
Let o(k) = -9*k - 21. Let l(c) be the first derivative of 2*c**3 + c**2/2 - c + 2. What is the least common multiple of o(-3) and l(1)?
6
Let m = -1014 + 1933/2. Let t = 26095/6 - 4370. What is the common denominator of m and t?
6
Let w = 1892 - 3806. Let p = -9509/5 - w. Let j = 3650 - 25499/7. What is the common denominator of p and j?
35
Suppose 0 = 2*t - 5*t - 60. Calculate the common denominator of 87/14 and 443/t - (-8)/20.
28
Calculate the smallest common multiple of 20 and 3/(-18) + (-219)/(-18) + 2.
140
Let i(k) = k - 7. Let x be i(-7). Let h = x - -24. What is the smallest common multiple of 11 and h?
110
Suppose -v + 3*j = 3 - 18, 4*v - j = 27. What is the smallest common multiple of (-23)/(-2) + v/12 and 14?
84
Let g be (-1)/((-2)/6)*-1. Let z = 15 + -17. What is the common denominator of 31/14 and (-2226)/(-396) - z/g?
154
Calculate the common denominator of (-1)/(-4) - ((-1407)/28 + 0) and 20/13.
26
Suppose 45 - 9 = 2*g. Let z = 5177 - 46646/9. What is the common denominator of (-425)/(-45) + 4/g and z?
9
Let c(u) = -11*u + 51. Let n(w) = 4*w - 17. Let k(g) = 3*c(g) + 8*n(g). What is the least common multiple of 6 and k(13)?
12
Let t be 665326/(-100810) + (-1)/(-2). Let w = -684661198/10081 - -67916. Let y = t + w. What is the common denominator of y and -131/12?
60
Let o = -3571 - -53617/15. What is the common denominator of 12 and o?
15
Suppose -5*b - 3*j = -15, -b + 5*j = 1 + 24. Find the common denominator of (2 - b)*654/(-144) and 31/42.
84
Suppose 0 = -4*w + 5*u - 7, -2*w + 6*u = 2*u + 8. Suppose 2*n = 4*d - d + 13, w*d + 14 = 4*n. What is the least common multiple of 16 and n?
16
Let i(w) = -10327*w**3 + 2*w + 1. Let d be i(-1). Let h = d + -227265/22. Calculate the common denominator of h and -49/22.
22
Let o = -7676 - -4178. Let r = 52504/15 + o. Find the common denominator of -119/6 and r.
30
Suppose -2 = x, -4*d + d - 5*x - 46 = 0. Let u be (15/d)/(23/223). Let o = 43/23 + u. Find the common denominator of 51/5 and o.
20
Let r(g) = g**2 + 9*g - 2. Let l(a) = a - 1. Let d(u) = 5*l(u) - r(u). Let b be d(-2). Calculate the smallest common multiple of 18 and 2/(b/(-11)*-1).
198
Let q = -5409/940 - -1/235. What is the common denominator of 382/180 - 4/10 and q?
36
Let j = -22399/70 - -1621/5. Find the common denominator of j and -23/8.
56
Let r = 1/1631 - 27737/16310. Calculate the common denominator of (3/3)/((-6)/14) and r.
30
Suppose h + 0*h + 29 = 0. Find the common denominator of h and (156/114 - 2)*(-8)/(-6).
19
Let d = 1334/1515 - -39/101. What is the common denominator of 1/27 and d?
135
Let b = -123923/252 - -3460/7. Find the common denominator of b and -61/10.
180
Let q(i) = i**3 - 3*i**2 + 4*i - 2. Let u be q(2). Suppose 9 = -u*o + 27. Calculate the least common multiple of o and 168/27 + (-2)/9.
18
Let q be (-34)/85 - (-148934)/10. Let r = q + -208391/14. Calculate the common denominator of 1/1 - (-123)/(-48) and r.
112
Calculate the common denominator of -1 + -4*415/(-880) and 11/12.
132
Find the common denominator of -99/4 and (-62)/(-33)*(-54)/72.
44
Calculate the least common multiple of 12/10 - 60/(-75) and 16.
16
Let y(g) = -g**3 + 1 + 7*g + 3*g - 4*g**2 - 5*g. Calculate the least common multiple of y(-5) and 5.
5
Suppose 8*b - 4*b = -4*c - 28, -5*c - 3 = -3*b. What is the least common multiple of 5 and (-17)/c - (-2)/(-3)?
5
Suppose -2*q = -q - 2. Suppose 0 = -4*m + 20, -5*d - 5 = q*m - 5*m. Suppose -d*h - h + 24 = 0. Calculate the lowest common multiple of h and 4.
8
Suppose 2*i + 4*n - 48 = 0, 3*i + 6 - 88 = 4*n. Let d be (-4 - (-24)/4)*7. Let f = i - d. Calculate the least common multiple of 14 and f.
84
Suppose 0 = 4*l - 5*t - 8, l + t + 3*t = 23. What is the smallest common multiple of 21/l + 4/(-2) and 10?
10
Let c = 14 - 13. What is the lowest common multiple of c and 10?
10
Let q be 10/(-3)*90/(-20). Let y = 17 - q. Calculate the least common multiple of y and 5.
10
Let o = -4 - -2. Let p = 14 + o. Calculate the smallest common multiple of p and 18.
36
Let u = -7492/1905 - 1/1905. Let v = u + -146/15. Calculate the common denominator of -89/10 and v.
30
Calculate the common denominator of -2 + (-18)/8*156/(-18) and 68/9.
18
Suppose 0 = 2*i - 2*z - 5 - 17, 0 = -i - 2*z + 26. Find the common denominator of 6/(-24) + i/(-3) and 47/10.
60
Suppose 0 = 6*b - 1069 + 961. Suppose 0*o = 5*o - 10, 5*r + 5*o - 160 = 0. What is the least common multiple of b and (r/4)/(3/4)?
90
Let i = 1/274656 - -1343937583/274656. Let x = -4907 + i. What is the common denominator of 1/14 and x?
42
Let r = -23 + 26. What is the lowest common multiple of r and 6?
6
Let q = 13837/7 + -1984. Calculate the common denominator of -48/11 and q.
77
Let i = -1057638/7 - -9717472/63. Let d = i - 3160. Calculate the common denominator of 64/3 and d.
9
Let n(g) = g + 20. Suppose 0 = -10*h + 4*h + 6. Calculate the lowest common multiple of n(-14) and h.
6
Calculate the common denominator of ((-356)/(-24))/(0 - -1) and 61/9.
18
Let a = 0 - -9. What is the least common multiple of 2 and a?
18
Let x = 1 + 3. Suppose -x*q - 31 + 187 = 0. Calculate the common denominator of (-12)/q*23/(-4) and 52/11.
143
Suppose 2*s + 5*f - 22 = 0, -f + 1 + 7 = s. Let b = 3 + -4. Calculate the least common multiple of 1/1 - b - -4 and s.
6
What is the common denominator of 41/60 - (-2)/5 and -21?
12
What is the smallest common multiple of 6 and 2/4*(-13 + 19)?
6
Calculate the least common multiple of 32 and 407/33 - (-2)/12*-2.
96
Let x be (-9)/6*(-28)/6. Suppose x = -3*l + 25. Let p = 0 - -7. Calculate the smallest common multiple of l and p.
42
Let a(x) = x**2 + 6*x + 2. What is the smallest common multiple of a(-8) and 20?
180
Let c = 362352047/9 + -1085042991729/26950. Let h = -2/13475 - c. Find the common denominator of (142/(-14))/((-12)/(-7)) and h.
36
Calculate the common denominator of -35/37 and 322/(-20) - (-27)/45.
74
Let v(n) = -n**3 + 4*n**2 + 2*n + 2. What is the lowest common multiple of v(4) and 8?
40
Suppose -x + 1 + 8 = 0. Let w = x - 2. Calculate the least common multiple of 8 and w.
56
Let v = -326390/3 + 6522397/60. Let k be (-948)/50*(-20)/4. Let y = v + k. Calculate the common denominator of y and 49/5.
20
Let s(b) = 2*b**3 + b + 1. Let c be s(-2). Let x = -7 - c. Suppose 0 = 10*o - 6*o - 40. What is the lowest common multiple of o and x?
10
Suppose -2*o = -0*o + 6. Let y be -478*(-2 + 3/6). Find the common denominator of 19/5 and y/60 + o/15.
20
Let r(x) = x + 8. Let i(f) = f**2 + 2*f. What is the smallest common multiple of r(-7) and i(-3)?
3
Calculate the lowest common multiple of 24/(-20)*(-3 + -2) and 11.
66
Let y = 6 + 0. What is the least common multiple of 12 and -1*(y - 2)*-1?
12
Let c be (-16841)/(-294)*(-3)/40. Let x be 9/15*5/784. Let l = c - x. Calculate the common denominator of -29/20 and l.
20
Let d be (-1)/(-4) + 6038/(-257). Let h = -3/514 + d. Let m = -10316/9 - -1145. Calculate the common denominator of h and m.
36
Calculate the common denominator of (3 - 1)*(-85)/(-8) and 65/8.
8
Let p = 5/473 + 66/43. Find the common denominator of p and 23.
11
Let w(j) = -j**3 - 25*j**2 - 2*j - 38. What is the smallest common multiple of 44 and w(-25)?
132
Let j = 1 + 7. Calculate the least common multiple of 3 and j.
24
Find the common denominator of 71/
|
{
"pile_set_name": "DM Mathematics"
}
|
2 or u?
0.02
Let g = -1041/13 - -80. Let a be (-13 - -6)*22/(-77). Which is smaller: a or g?
g
Suppose 0 = 2*r - 5*t + 182, 3*r + 179 = 5*t - 104. Is -98 >= r?
True
Let c be 80/(-14) - (-8)/(-28). Let g = -4 - c. Let r = 0 - -0.1. Which is smaller: g or r?
r
Suppose 5*i - 15 = -g, -6*i = -4*i - 10. Let r be (4/g)/((-32)/(-5476)). Let c = 269/4 + r. Which is smaller: c or -2?
-2
Suppose -17*k = -25*k + 120. Are -11 and k nonequal?
True
Let g = -9161/14 - -653. Let f = 85/42 + -7/6. Let t = g + f. Which is smaller: 2 or t?
t
Let r(v) = -5*v**2 + v + 2. Let b be r(2). Let j = b - -16. Let w = 33 + -329/10. Is w at most as big as j?
False
Let t = 0 - 4. Let h = 0.3 + 3.7. Which is smaller: t or h?
t
Let q = 759/2 + -380. Is q not equal to -0.042?
True
Let n be 2/(-3) + (-6)/3. Suppose -b - 16 = -5*u, u + 0*u = -b + 8. Suppose 4*g = -12 - u. Is n greater than g?
True
Let a(j) = -177*j - 3183. Let t be a(-18). Suppose 6*g = 4*g - 26. Is t at least as big as g?
True
Suppose 77*g - 6026 = 112*g + 96*g. Suppose 2*o + 13 = -77. Which is smaller: g or o?
g
Let v be 14/(-8) - 4/((-96)/18). Let b = -0.073 - 56.927. Is b equal to v?
False
Suppose 0 = -2*i - 4*j + 4, -7*i + 2*j = -2*i - 34. Let k be (-44)/99 - (-4)/i. Suppose -5*x + 2*s = 5*s, x + 5*s = 0. Is x smaller than k?
True
Let u = -100 + 51. Let f = 48 + u. Is -10 at least as big as f?
False
Let l be 0/2 + -1 + 0. Let x be ((-1)/14)/(l/(-4)). Let z = -28 + 51/2. Is z equal to x?
False
Let n = -0.7 + 2.7. Let y = 228 + -195. Are n and y unequal?
True
Let l be (-219)/693 - 16/(-56). Let f(k) = -9*k - 18. Let p be f(-2). Is p greater than or equal to l?
True
Let b = 229 - 240. Which is greater: -17 or b?
b
Let d be 4/((-12)/(-9)) - (-20452)/(-132). Let k = -152 - d. Is 0 equal to k?
False
Let t be 0/1*((-60)/9 - -7). Let j be t/(6 + -8 + 4). Do j and 3 have different values?
True
Let g = 65.7 + -65.8. Let p be 6/(-45)*6/4. Is p > g?
False
Let w = 4 + -5. Let t = 30/29 + -9316/203. Let h = t - -5324/119. Are h and w nonequal?
True
Let q be (1/(-3))/((-8)/48). Suppose -q*z = -3*m + 3*z - 25, -5*m - 53 = 3*z. Which is bigger: m or -12?
m
Let d = -9682483/56 - -172895. Let u = d + 45/8. Are u and 0 unequal?
True
Suppose 0 = -8*f + 7*f + 64. Let i be -3*(2 - f/36). Is i greater than 3?
False
Suppose 16 = z + 2. Let w be (-11)/((-231)/6) + 640/z. Which is bigger: w or 45?
w
Let x = -0.48 - 34.52. Let a = x + 17. Let v = a + 16. Is v < -2/5?
True
Let c(p) = p**3 - 14*p**2 + 13*p - 6. Let s be c(13). Suppose -2*i = -i + 2. Do s and i have the same value?
False
Let h be -25*3/(4 + -7). Suppose h = -7*o + 2*o. Which is greater: 0 or o?
0
Let g be (69/(-9))/((-1)/(-6)). Let w = 2136 - 2180. Which is greater: g or w?
w
Let o be (-13)/(-7) + 7/49. Let c(p) = -p**2 + 4*p + 4. Let v be c(4). Let h be (3/o)/(14/v). Is h equal to -1?
False
Let v = -10 - -4. Let j = 1390/3 - 6746/15. Let f = -66/5 + j. Which is bigger: v or f?
f
Let r(t) = t**2 + 11*t - 24. Let j be r(-13). Let n be 14/(-1 + j + 8). Do n and 1 have different values?
True
Let v(s) = -36*s + 4. Let h be v(-3). Suppose -2*g + 5*l = -5*g + 76, -3*g + h = -4*l. Let i = -22 + g. Is -1 < i?
True
Suppose -30 = -j - 0. Which is bigger: j or 31?
31
Suppose 4*c - 4 = 4*f, 4*c + f + 0*f = 4. Let k = -137 - -55. Let b = k + 82.9. Is b at least c?
False
Let v(i) = -18*i + 108. Let o be v(6). Let g be 324/(-160) + 1 - -1. Is o > g?
True
Suppose 180 = 14*g + 166. Which is smaller: 35/26 or g?
g
Let v(w) = w**3 - 19*w**2 - 43*w + 16. Let t be v(21). Let u be (-1)/10*4/2. Which is greater: t or u?
u
Let j = -84 + 119. Let c = 40 - j. Is 0 <= c?
True
Let m(o) = 2*o**2 - 8*o - 19. Let q be m(9). Let j be (2/(-8) - -1) + q/(-4). Is -16 at most j?
False
Let g(u) = 5*u - 25. Let h be -1 + -5 + 4 - -7. Let y be g(h). Is y equal to 0?
True
Suppose 51 = -3*v - 21. Let s = 20 + v. Is s <= -4?
True
Let z be -6 + 3 - (-123)/39. Let l = -53/2 + 27. Is l at most z?
False
Let b(m) = -m**3 + 9*m**2 + 8*m - 21. Let c be b(8). Is c equal to 106?
False
Suppose 26*w - 17 = 9*w. Which is smaller: w or -10/67?
-10/67
Suppose 729 = 4*u + 5*b, -3*b + 10 = 7. Is u at least 180?
True
Suppose d + 2*d = 0. Suppose -2 - 1 = 3*p - 3*l, d = -2*l - 4. Suppose 3*z = 7*z. Is z < p?
False
Let r = 663 + -12603/19. Let m be 2/2*2/2. Which is bigger: m or r?
m
Let m(f) = -2*f**2 + 52*f + 12. Let u be m(26). Let t = 2 - -7. Let b be (-64)/(-6) - (-3)/t. Do u and b have the same value?
False
Let q(g) = g**3 - 9*g**2 + 14*g. Let l be q(7). Suppose -2*h + l*h + 198 = 0. Let w be -3 - -3 - 6/h. Which is smaller: 0 or w?
w
Let p be -6 - -6 - (-4)/2. Suppose 0 = -0*v - v - 6. Let g be (3*2/v)/2. Which is greater: g or p?
p
Let l(k) = -25*k**3 + 4*k - 4. Let x be l(2). Which is greater: -0.1 or x?
-0.1
Let l = -10 + 25. Let b(v) = -46*v**2 - 1562*v + 80. Let g be b(-34). Which is smaller: l or g?
g
Let p = 1 - 1. Suppose 53*k = -4*b + 51*k - 40, 4*k + 20 = -3*b. Which is smaller: p or b?
b
Let l = -3.1 + 3. Let d = 234 - 236. Which is bigger: d or l?
l
Let t(o) = -5*o + 102. Let b be t(-2). Is b at least as big as 225/2?
False
Let d(a) = 8*a - 23. Let h be d(-14). Let r be (-13 + -2)*5/h. Is -1 <= r?
True
Let n be (-7)/(-5)*(-25)/30. Suppose 0 = 3*k + k + 8. Is k greater than or equal to n?
False
Let c be 2 + -2 + 20/26. Let r = 7.97 - 7.97. Which is bigger: c or r?
c
Suppose -4*s = -0*s. Let o(h) = h + 11. Let j be o(-8). Suppose s = j*n - 2*n. Which is smaller: -1/4 or n?
-1/4
Let a be (-86)/(-6) + 6/9. Let u = 186 + -171. Is a smaller than u?
False
Suppose 0*v = 3*v - 2*r - 47, -v = -5*r - 7. Suppose -2*p = 23 + v. Are p and -22 equal?
False
Suppose 0 = -s + 5 + 16. Let p = -18 + 27. Let d = p + 12. Are s and d non-equal?
False
Let r = -26 - -29. Let j be 3 - (-2)/86*(-130 + r). Is 0 at most as big as j?
True
Let a be (-2)/5*15/(-9). Let w be 3/(1 - 4)*0. Suppose 4*t + 4 = w, -3*v - 2*t = t + 3. Is v != a?
True
Let l be (-2 - 2/(-4))/(-3)*0. Let k be (4/(-12) - -1)/(-30). Is k less than l?
True
Let k = 1.2312 + 0.2398. Let h = -1.43 + k. Which is smaller: -1/2 or h?
-1/2
Let z = 8.6 - -31.4. Is z greater than -2?
True
Let k be 4/(-14) - (-720)/168. Which is smaller: k or 9?
k
Let t(m) = 7*m**2 + 9*m - 13. Let u(h) = h**2 + h - 1. Let d(l) = t(l) - 6*u(l). Let q be d(-5). Let s be 10/4*(-6 - -8). Which is smaller: s or q?
q
Let i(l) = -2*l**2 + 42*l - 26. Let y be i(16). Is 133 at least as big as y?
False
Suppose 3*r = -3*w - r - 465, -5*w = -5*r + 740. Which is bigger: w or -153?
w
Let q = 15 - 26. Let u = q + 15. Suppose -2*v = -3*c + c + u, -v - 5 = -4*c. Is c at least as big as 1?
True
Suppose -l - 3*l = 0. Let p = l - 0. Suppose p*g = 4*g. Is 4 less than g?
False
Let i = 797 - 468. Is -1 greater than i?
False
Let q be 0 + (-6)/(5 - 7). Which is smaller: 8/5 or q?
8/5
Let w(j) = -4*j**3 + 8*j + 2. Let k be w(-3). Let v = k - 83. Which is bigger: v or 22/9?
v
Suppose 5 - 11 = -3*z. Suppose -4*c = 2*g + z, 3*g - 2 - 4 = 3*c. Is g at least 1?
True
Let p = 2 + -3. Let z = -3408 + 3408.16. Which is smaller: z or p?
p
Let b = 9040/3 - 2959. Which is greater: 53 or b?
b
Suppose 0*x + 2*x - 32 = 0. Let m(y) = -21*y - 59. Let k be m(-3). Suppose 2*f = h - k*h - 1, 2*f + x = 2*h. Which is bigger: h or -0.1?
h
Let j be 1 + (-147)/(-51) - (-6)/51. Let z = 19 - 19. Is j > z?
True
Let w = 31 + -46. Let o = -20 - -7. Which is smaller: o or w?
w
Let y(w) = w**3 - w**2 - 2*w - 13. Let g be y(3). Are 1/26 and g unequal?
True
Let n = -7.4 - -6.7. Is n > -2/3?
False
Let b(z) = z**3 + 7*z**2 - 16*z + 19. Suppose -10*n = -14*n - 36. Let k be b(n). Is 2/19 at most k?
True
Suppose -5*h = 5 - 5. Let i = -24 - 0. Let k be (-38)/i - (-3)/(-12). Which is greater: k or h?
k
Let r = 63 - 4283/68. Which is smaller: 0.4 or r?
r
Suppose 0 = 8*l + 50 - 50. Which is greater: -2/195 or l?
l
Let l = -0.99 + 1.09. Let v = 22.037 + -0.037. Is l at most as big as v?
True
Let a = 0.59 - -0.11. Let t = 0.8 - a. Let u be (-5)/2*1/(-25). Is t less than u?
False
Suppose 9*w + 9 = -4*i + 8*w, -4*w - 2 = -i. Let r be 38*(-2)/(-16)*4. Let t be i/(-12)*(r + -10). Which is bigger: 1 or t?
t
Let j be (-5)/23*(-24)/(-60). Suppose 3*c = 4*x - 35, 4*c = -4*x + 2*x - 10. Suppose 3*r - 3 + 4 = -u, u + 1 = x*r. Which is smaller: r or j?
j
Let y be 5 + (-94 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
et q be 0*(28/8 + -4). Let a be q/4 + -3 + 7. Solve i = -a*r - 20, -5*i - 16 = -2*i + r for i.
-4
Let w be 2/6 + 88/24. Solve 3*l - 8 = -l + 4*z, 0 = -5*l + w*z + 7 for l.
-1
Let r(h) = 4*h**2 + 12*h - 5. Let k(w) = 5*w**2 + 13*w - 6. Let o(p) = 3*k(p) - 4*r(p). Let y be o(-9). Solve l = y*b + 7 + 2, l + 5*b + 12 = 0 for l.
3
Suppose -2*g = -3*d - 11, 5*g - 5*d - 22 = -3*d. Solve -5*y + l = -17, -g*y + y - 3*l = -21 for y.
4
Let t(d) = -d**2 - 3*d + 1. Let k be t(-4). Let o be 0*((k - -3) + -1). Suppose y + 2 - 6 = o. Solve v + 20 = 5*v - 5*z, -2*z = y*v - 20 for v.
5
Let v(h) = h**3 - 8*h**2 + 6*h + 9. Let i be v(7). Let k be ((-4)/10)/(7/(-70)). Suppose k*q - 3*q - 2 = 0. Solve -2*d - 4*x + 2 = -5*d, d - i*x + q = 0 for d.
2
Let i(p) = -p + 4. Let c be i(4). Let k be (-1 - -1)/(-1 - c). Let r be ((k/(-1))/(-3))/(-2). Solve 2*d - 16 = 4*m, -5*d + 4*d + 3*m + 12 = r for d.
0
Let z(j) = -j**2 + 5*j - 4. Let a be z(4). Solve 28 = -2*k - k - 5*r, a = -k + r + 4 for k.
-1
Let o be (-8)/12*6/(-4). Let j(y) = -y**3 + 7*y**2 - y + 9. Let g be j(7). Solve -c + 0*c = -o, 0 = -4*d + g*c - 18 for d.
-4
Let q = 9 - 4. Suppose -q*x + 0*x = 0. Solve -2*a + s = -8, -7*a + 4*a + s + 11 = x for a.
3
Let y be 39/26 - (-2)/4. Solve 5*f + 13 = -2*g, -5*f + 2*f = y*g + 11 for f.
-1
Suppose -w + 0 = -10. Solve w = -5*m, -5*f = 3*m + 2*m - 10 for f.
4
Suppose -p + 3 = -2*a, a - 6*a = 5*p - 30. Solve -4*d - d + 29 = 4*u, 2*d - p*u = 5 for d.
5
Let d(q) = -q**3 - 7*q**2 - 7*q + 2. Let m be d(-6). Let r be 1*-1 + 5 + -1. Solve 2*o - 12 = -3*i, r*o - 28 + m = -5*i for i.
4
Suppose -11*f + 93 = -6. Solve -4*u - 3 = -5*n, -4*u = -f*u + 5*n for u.
3
Let r be -1*(2 + -2) - -3. Solve 0 = -2*a - 4*z - 7 + r, -5*a - 5*z - 5 = 0 for a.
0
Let u(k) = -k**2 + 6*k + 10. Let i be u(7). Let w(q) = -q**3 - 7*q**2 - 5*q + 6. Let v be w(-6). Solve -y = n + i*y - 15, 3*n - y + 7 = v for n.
-1
Let p(k) = -k**2 - 12*k - 18. Let m be p(-10). Solve -4*f = -2*f + m*h - 14, -3*f + 29 = 5*h for f.
3
Suppose 0 = -x - 2*j - 5 - 7, 3*x + 4*j + 26 = 0. Let q be x*1*21/(-14). Solve 3*l + 3*p + 0 = 9, -l - q*p = -13 for l.
-2
Suppose -3*g = -2*n - 65, -30 = -2*g - 2*n + 6*n. Solve 0*v - 4*v = c + g, 5*v + 15 = 2*c for v.
-5
Let t be (-33)/(-3) + (-2)/(-1). Suppose v = 80 - 76. Solve 3*i = 5*d + 18, -2*d + v*i = d + t for d.
-3
Suppose -4*v + 36 = 8. Let y = 11 - v. Suppose c - y = f - 2, c + 5*f - 8 = 0. Solve 2*k = -c*o - 3, -5*k = 4*o - o + 3 for k.
0
Let i(u) = u**3 + 9*u**2 + u + 12. Let b be i(-9). Solve 0 = 5*o - v + 1, 4*o - b = -4*v + 1 for o.
0
Let x = 114 - 112. Solve -13 = -5*q - x*i, 2*q + 7 = 4*q - i for q.
3
Let t = -154 - -158. Suppose -1 = -4*u + u - g, 4*u = -4*g + 4. Suppose u = 3*w - 16 - 8. Solve 2*v - t*v = 2*z - w, 5 = 5*z for v.
3
Let y be (8/(-12))/(4/(-30)). Suppose 3*r = -y*p + 12 + 24, 0 = -4*p - 12. Solve 4*d = -3*z - 18, 4*z + 4*d = d - r for z.
-2
Suppose -r + 0*i + 2*i + 6 = 0, -3*r - 2*i = -2. Solve 5*s - r = 3*a + 3*s, -6 = 3*s for a.
-2
Suppose -4*c = j - 49, -5*c + 12*j + 55 = 7*j. Solve -5*b + c + 3 = 0, 0 = 5*x - 5*b for x.
3
Let n = -6 - -9. Solve 0 = -n*l - 5*c - 20 + 49, -3*c + 6 = -2*l for l.
3
Suppose 5*a + 6 = 3*a, 4*s = 3*a + 17. Suppose s*r - 7*r = -20. Solve d + 0*d + 5 = 0, i - r*d = 20 for i.
0
Suppose 7 + 9 = 4*x. Let u = x + 1. Solve -3*o = o - 5*h + 8, 0 = -u*o - 5*h - 10 for o.
-2
Suppose 0 = 3*o + 4*y + 16, 6 + 14 = -5*y. Suppose -36 = -5*c - 2*f, 3*c - 4*c - 2*f + 4 = o. Solve -16 = 5*d + 3*h, -d - c = -0*d - h for d.
-5
Let u(r) = -3*r + 5. Let j(x) = 2*x + 1. Let l be j(2). Suppose 0 = -a - 11 + l. Let k be u(a). Solve 0*f = -3*f + 4*t + 11, k = 5*f - 2*t for f.
5
Let x(n) = -n**3 + 5*n**2 + n + 3. Let m be x(5). Solve -2*k + 5*p - m = -k, -13 = 4*k - p for k.
-3
Suppose -5*n - 2*j - 4 = 0, -3*j = 6*n - 3*n - 3. Let u(r) = -1 + 6 - 4*r - 3 - 3*r. Let t be u(n). Solve -4*m + 3*f - t = 9, 2*m + 23 = 5*f for m.
-4
Let m(j) = -j**3 - 3*j**2 + 2*j. Let x be m(2). Suppose 2*g = 3*d + 3*g - 80, 0 = -5*d + 3*g + 152. Let s = x + d. Solve 3*t = s - 0, 0 = -2*q - 5*t + 20 for q.
0
Let f = 14 - 4. Suppose 4*i - 2 = f. Solve 12 = -d - 3*d, -2*g - i = d for g.
0
Suppose 19 = 3*t - 5*k, 5*t = 2*t + 2*k + 13. Solve -t*m + 3 = -3*l, m = -m + 2 for l.
0
Let t be 1/7 - 434/(-49). Solve -2*p = 6, 2*z - p + 4*p = -t for z.
0
Suppose -j + 8 + 9 = -3*f, 2*j + 5*f + 21 = 0. Suppose j*u - 1 = 7. Solve 4*r - u = 4*n - 0*n, 0 = 4*n + r + 4 for n.
-1
Let y be 5*(2 + 32/(-20)). Solve -4*k + 0*z - 12 = -3*z, 0 = -4*k - y*z - 12 for k.
-3
Let z = -48 + 55. Solve 7 = 5*k + 3*u, -5*k + k - u + z = 0 for k.
2
Let l(q) = 2*q**2 - 2*q - 7. Let f be l(3). Let d(x) = 0*x**2 - x**2 + 4*x + 2*x. Let y be d(f). Solve -10 = -5*w, 11 = -y*j - 0*j + 3*w for j.
-1
Suppose 0 = -3*w - 18 + 39. Solve 4*q + 4*r = w*q + 23, -20 = -4*r for q.
-1
Let a be (5/15)/(2/18). Suppose 0 = a*k - k + 4. Let i be (-6)/9*-3 - k. Solve -2*y + 12 = i*x, -3*y + x + x - 6 = 0 for y.
0
Let n = -14 - -20. Suppose 2*o + 2 = n. Solve -u = m - 7, -2*u = -m - 0*m - o for u.
3
Let i be 3 - (7 + (-2 - 2)). Let r be 2*(-2)/(-4)*0. Let v = r - i. Solve -4*w - 4*k + 12 = 0, v*k - 5*k - 5 = w for w.
5
Let i(f) = -6*f**3 - f - 2. Let w be i(-1). Solve -2*t = -k + 6, -t = -0*t + w for k.
-4
Suppose 4*k + 4*b = 20, 6 = -4*k + 5*b - 1. Suppose k*h = 14 + 154. Let g be h/22 - 12/(-66). Solve 0 = g*o - 0*o - 5*m + 41, 0 = -3*o - 2*m - 2 for o.
-4
Suppose 4*t + 15 + 5 = 0. Let z(f) = f**3 + 5*f**2 - 2*f - 6. Let h be z(t). Solve -2 = -h*v + 2*m, -m + 3*m = v + 7 for v.
3
Let t = -22 + 28. Solve -w - u - 5 = 0, -2*u + 10 = -t*w + 3*w for w.
-4
Let s(m) = 0 - m + 2*m - 1. Let j be s(4). Solve j*b + 3 = -4*u, -b = -u - 2*u - 12 for u.
-3
Let m(o) = o**3 - 4*o**2 - 9*o + 7. Let t be m(6). Suppose -4*a + t = a. Solve -5*k = 4*v - 2 + 14, a*v = -5*k - 15 for v.
-3
Suppose -5*d = -5*i + 40, -4*i - 1 = -i + 2*d. Suppose i*g - 2*g - 6 = 0. Suppose -22 = -4*c - g. Solve -1 - 3 = -3*t + c*w, -4*t - 3*w = 28 for t.
-4
Let s(l) = 3*l**2 - 4*l - 4 + l**3 + 4*l - 2*l. Let b be s(-3). Solve -j - b = q - 3, -3*q = -3*j + 3 for j.
1
Suppose -10 + 0 = -g. Solve -2*t = 4*v + g, -10 = 5*t + 4*v + 9 for t.
-3
Let q be (-1 + 16)/3 + -3. Solve 4*m + 5 = d, -q*d - m - 3 = -4 for d.
1
Let t = -3 - -3. Let u be (-2 + t)*(-27)/6. Suppose 0 = -5*v + u + 1, 0 = -2*l - 5*v + 16. Solve -l*r - 2 = -7*r - s, -3*r = 5*s - 10 for r.
0
Let v = 19 - 11. Suppose v = 4*c + 2*g, 7*c - 2*c - 3*g = 32. Solve 33 = -4*j + c*d + 1, -2*j + 5*d - 31 = 0 for j.
-3
Let z(u) = 35 - 15 + u - 3*u + 3*u. Let p be z(0). Solve -2*i - 5*h - p = 0, 0*i - 4*i + 4 = -h for i.
0
Suppose -5*l = -3*g - 12, -3*g + 0*g + 15 = 4*l. Solve 3 = -2*f + 5*d, -f - 3*f + d + l = 0 for f.
1
Suppose 43 = h - 2. Let x = h + -31. Suppose 3*d = 4*y - 2, 4*d + 5*y = 2*d + x. Solve -10 = d*n - 3*u, 4*u - 11 = 2*n + 3 for n.
1
Let m be (2 + -3)/((-2)/4). Let a be 2*(-21)/12*m. Let p = a - -9. Solve 1 = 2*c + i - p*i, -3*c = -2*i for c.
2
Let i(l) be the second derivative of l**5/20 - l**4/3 + 5*l**3/6 - l**2 + 5*l. Let s be i(3). Solve -26 = 2*p + 4*k, p - 3*k = s + 3 for p.
-5
Let x(s) = -4*s. Let j be x(-1). Let f be 97/j + (-21)/(-28). Solve -3*o - 5*l = 22, -6*o = -o - 4*l - f for o.
1
Let r = -18 - -22. Solve r*l + 2*j - 6*j = -16, l = -5*j + 14 for l.
-1
Let s = -60 - -72. Solve 4*n - s = -3*w, 0*w + 2*w - 8 = n for n.
0
Suppose 0 = t - 0*t. Let u = 24 - 13. Let d = 84 + -82. Solve s - 3*k - u = 0, d*k + 19 = 3*s - t for s.
5
Suppose -l = -2 + 1. Let p be -6*((-6)/4 - l). Let b be ((-18)/p)/(2/(-5)). Solve -8 = -4*w + 5*v - 10*v, w - b*v + 15 = 0 for w.
-3
Let g = -12 + 17. Let n = 2 - -1. Suppose 3*t = 5*k + 2, -1 - 5 = -n*k. Solve -2*p - 2*p = -u - t, -g*u = -p - 18 for p.
2
Let x = 167 - 164. Solve -4*m - 7 = -x*r, -2*r - m + 20 = 4*m for r.
5
Suppose 0*u + 24 = u. Let z be (-6)/u - 34/(-8). Solve -g = -7*h + 2*h + 24, -z*h = -4*g - 32 for g.
-4
Let r be 2*2 + 0 + -4. Solve 5*d + 4*u = -r*u - 11, -4 = -4*u for d.
-3
Suppose -3 = -z + 1. Let t = 6 - z. Solve -5*q - 3*p + 9 = -t*p, -5*p = 2*q - 22 for q.
1
Suppose 3 = 9*n - 15. Solve -n*t + 1 = 3*d, -5*d = t + 3*t - 5 for d.
-3
Let q be ((-6)/4)/(3/(-24)). Let j be 4/8*0/(-2). Solve -u + j*u + q = 3*l, 3*l - 21 = -4*u for l.
3
Let n be (-9 - -3)*
|
{
"pile_set_name": "DM Mathematics"
}
|
-812 divided by 116?
-7
Calculate -3 divided by -24.
1/8
Divide 5 by 268.
5/268
Calculate -6328 divided by 226.
-28
Divide -1680 by -336.
5
-1086 divided by -2
543
What is 0 divided by 1124?
0
Divide -36 by -5.
36/5
What is 543 divided by 17?
543/17
Divide 104 by -6.
-52/3
Calculate 5 divided by 141.
5/141
-84 divided by 2
-42
What is 6751 divided by -157?
-43
3 divided by 2
3/2
Divide -112 by -4.
28
What is 36 divided by -2?
-18
88 divided by 22
4
18 divided by 1
18
Calculate 2 divided by 1.
2
Divide 50 by 50.
1
Divide 8 by 453.
8/453
42 divided by -3
-14
Calculate -10 divided by 106.
-5/53
Divide 22 by -1.
-22
Divide -9 by 1.
-9
Calculate -108 divided by 2.
-54
Divide 880 by 5.
176
Calculate 2 divided by -3690.
-1/1845
Divide 31261 by 2.
31261/2
What is 13 divided by -3?
-13/3
What is -234 divided by -18?
13
Divide 0 by 561.
0
Calculate -19 divided by -1.
19
Calculate -9432 divided by -1572.
6
Divide 13 by 248.
13/248
What is -149 divided by 149?
-1
What is 248 divided by -62?
-4
What is -306 divided by 5?
-306/5
Calculate -3 divided by -130.
3/130
What is -280 divided by -70?
4
-14240 divided by 8
-1780
Calculate -302 divided by -151.
2
Divide 129 by 17.
129/17
Divide 0 by 83.
0
Divide -2 by 111.
-2/111
What is -5348 divided by -2674?
2
Calculate 1350 divided by -1.
-1350
Divide 9312 by -6.
-1552
Calculate 30105 divided by -669.
-45
4 divided by -82
-2/41
What is -9381 divided by 3?
-3127
240 divided by 80
3
What is 8 divided by 17?
8/17
What is -3 divided by 280?
-3/280
Calculate 174 divided by 6.
29
Divide 0 by -68.
0
Divide -2517 by -6.
839/2
-566 divided by -4
283/2
Calculate -5 divided by 112.
-5/112
1228 divided by 4
307
1 divided by 243
1/243
1 divided by -111
-1/111
What is 4819 divided by 1?
4819
What is 8862 divided by -4431?
-2
Calculate 1975 divided by -25.
-79
Divide -2737 by -1.
2737
2130 divided by 426
5
Divide 233 by -1.
-233
Divide 20304 by 4.
5076
What is 3952 divided by 19?
208
-39 divided by -12
13/4
What is 1645 divided by -4?
-1645/4
What is -1564 divided by -34?
46
What is -232 divided by 4?
-58
What is 120 divided by -18?
-20/3
What is 1036 divided by 4?
259
Calculate -540 divided by -2.
270
What is -1197 divided by -133?
9
Calculate -1 divided by -447.
1/447
What is -31 divided by -114?
31/114
Divide 334 by 4.
167/2
Calculate -26724 divided by 6.
-4454
What is -2 divided by 358?
-1/179
0 divided by 397
0
Divide 234 by -3.
-78
Divide -10 by 4.
-5/2
1 divided by 53
1/53
Divide -36 by 455.
-36/455
61 divided by 6
61/6
Calculate 5 divided by -76.
-5/76
Calculate -2466 divided by 274.
-9
What is -55 divided by -11?
5
3 divided by -234
-1/78
-16 divided by -515
16/515
Divide -602 by -2.
301
Divide 298 by -149.
-2
1547 divided by 17
91
Calculate 5929 divided by -539.
-11
Calculate -660 divided by 132.
-5
Divide -907 by -11.
907/11
Calculate 58 divided by 11.
58/11
-61 divided by -61
1
Calculate 1917 divided by -639.
-3
816 divided by 816
1
What is 7360 divided by 5?
1472
What is 1114 divided by -2?
-557
Divide -1185 by 5.
-237
-3052 divided by 7
-436
Divide 312 by -24.
-13
Calculate -3456 divided by 16.
-216
Divide -4750 by 5.
-950
Calculate 4 divided by 4.
1
What is -1287 divided by -39?
33
Divide -26096 by 4.
-6524
2 divided by 11
2/11
Calculate -528 divided by 264.
-2
What is -7 divided by -39?
7/39
Calculate 145 divided by 1.
145
-280 divided by -2
140
Divide 114 by 1.
114
What is -795 divided by 5?
-159
What is 75055 divided by -5?
-15011
Divide 492 by 6.
82
41 divided by 14
41/14
Calculate -1030 divided by -5.
206
3 divided by -8
-3/8
Calculate -395 divided by -4.
395/4
Calculate 8 divided by 273.
8/273
Calculate 90 divided by 9.
10
Divide 204 by 2.
102
-69 divided by 8
-69/8
What is -917 divided by 20?
-917/20
Calculate -47 divided by -47.
1
What is 4 divided by -2705?
-4/2705
What is 4942 divided by 1?
4942
What is 3149 divided by 3?
3149/3
What is 3606 divided by 2?
1803
What is 592 divided by -148?
-4
Calculate -10 divided by -10.
1
-1 divided by -447
1/447
-5 divided by -38
5/38
239 divided by -1
-239
-2580 divided by 6
-430
-1869 divided by -7
267
Calculate 2 divided by -707.
-2/707
Calculate 868 divided by 4.
217
20 divided by 4
5
Calculate -961 divided by 3.
-961/3
What is -1990 divided by -995?
2
What is -3045 divided by -1015?
3
What is 385 divided by -11?
-35
Calculate -79092 divided by 4.
-19773
Calculate 80 divided by 4.
20
28 divided by 28
1
-8829 divided by 5
-8829/5
Divide -2885 by -4.
2885/4
What is 133 divided by -11?
-133/11
What is -224 divided by -2?
112
What is 140 divided by 70?
2
Divide 450 by -25.
-18
-4 divided by 39
-4/39
What is -49384 divided by 2?
-24692
Calculate -3432 divided by -66.
52
Calculate -4767 divided by 4767.
-1
Divide -271 by 37.
-271/37
Divide -104 by -3.
104/3
2310 divided by 1
2310
What is -320 divided by -5?
64
-660 divided by -4
165
1 divided by -19
-1/19
Calculate -43860 divided by -6.
7310
-6 divided by -6
1
-18329 divided by 2
-18329/2
What is -85 divided by -2?
85/2
Divide 22087 by 1.
22087
-478 divided by -2
239
What is 432 divided by 6?
72
Calculate -28 divided by -19.
28/19
Divide -1484 by 212.
-7
-36 divided by 12
-3
What is 1 divided by 248?
1/248
What is -82 divided by 5?
-82/5
0 divided by 902
0
Divide 1495 by 23.
65
Calculate -5 divided by -684.
5/684
Divide 458 by 23.
458/23
-206 divided by -206
1
What is 684 divided by 12?
57
-3160 divided by -395
8
What is 32 divided by 9?
32/9
-5 divided by -120
1/24
Divide 17 by -11.
-17/11
What is 2444 divided by 4?
611
-21 divided by 21
-1
Calculate -2 divided by 14.
-1/7
Divide 753 by -1.
-753
Divide -14 by -19.
14/19
Divide -1776 by -4.
444
Calculate -370 divided by 74.
-5
What is 636 divided by 4?
159
What is -810 divided by -45?
18
3644 divided by 2
1822
-113 divided by 1
-113
Divide 33 by 1.
33
-468 divided by -4
117
Divide -557 by 34.
-557/34
What is -355 divided by 71?
-5
What is -45 divided by -3?
15
69 divided by 33
23/11
6 divided by 2
3
What is 26 divided by -4?
-13/2
-2237 divided by -4
2237/4
Calculate 3690 divided by -10.
-369
-12430 divided by -55
226
Calculate -340 divided by 85.
-4
-245 divided by 6
-245/6
Divide 12228 by -4.
-3057
Calculate -250 divided by -5.
50
113 divided by 3
113/3
Divide -2135 by 2.
-2135/2
Divide 634 by -1.
-634
Divide -2384 by -298.
8
Calculate 18 divided by 18.
1
Divide 38206 by -7.
-5458
What is -1936 divided by -22?
88
What is 0 divided by 54?
0
Calculate -20 divided by 2.
-10
1736 divided by -217
-8
Divide -404 by 202.
-2
Divide -12930 by -1293.
10
Divide 5054 by 2527.
2
Divide -1527 by 1.
-1527
11 divided by -47
-11/47
What is -2796 divided by 12?
-233
What is -3 divided by 191?
-3/191
-63 divided by 5
-63/5
23 divided by 5
23/5
What is -4 divided by -50?
2/25
34 divided by 2
17
Divide -4150 by 83.
-50
Divide 1 by -12.
-1/12
Calculate 1992 divided by -83.
-24
-803 divided by -5
803/5
153 divided by 51
3
39 divided by 5
39/5
25620 divided by 2
12810
Divide 13704 by -8.
-1713
Calculate -99 divided by 9.
-11
What is 398 divided by 17?
398/17
Calculate -165 divided by 19.
-165/19
Calculate 1272 divided by 3.
424
What is -6 divided by 2599?
-6/2599
Calculate 372 divided by -17.
-372/17
147 divided by -7
-21
Divide 623 by -89.
-7
Calculate 23750 divided by 5.
4750
Divide 23 by 113.
23/113
Calculate 4158 divided by 7.
594
11 divided by -123
-11/123
Calculate 3 divided by -21.
-1/7
What is 5 divided by -28?
-5/28
Divide 111 by -8.
-111/8
What is 69780 divided by -6?
-11630
Calculate -2 divided by 229.
-2/229
-134 divided by -1
134
What is 3652 divided by -6?
-1826/3
Divide -654 by 6.
-109
What is 90144 divided by -2?
-45072
Calculate -53 divided by 12.
-53/12
What is -3342 divided by -6?
557
Calculate -335 divided by 3.
-335/3
405 divided by 5
81
What is 2590 divided by 370?
7
Divide -157 by -8.
157/8
What is 3 divided by 1134?
1/378
Divide 14 by -445.
-14/445
What is -471 divided by 3?
-157
Divide -8660 by 4.
-2165
Calculate -5772 divided by -78.
74
-26265 divided by -3
8755
Calculate -10340 divided by -4.
2585
Calculate -1497 divided by -1.
1497
Calculate 5010 divided by -5.
-1002
What is 1 divided by 357?
1/357
Divide 48 by -48.
-1
Calculate -5 divided by -3488.
5/3488
Calculate -954 divided by -18.
53
What is -63 divided by -3?
21
Divide 1437 by -1.
-1437
6 divided by 8
|
{
"pile_set_name": "DM Mathematics"
}
|
(base 3) to base 11
-729
What is -111010101001 (base 2) in base 5?
-110003
What is 35728 (base 9) in base 5?
1231141
Convert -16144 (base 8) to base 6.
-53352
424141 (base 5) to base 14
52d2
What is c14 (base 15) in base 5?
41334
2212 (base 7) to base 12
561
11001010110 (base 2) to base 16
656
What is 32c8 (base 16) in base 13?
5bc0
What is -12403 (base 5) in base 3?
-1100020
Convert 2525 (base 10) to base 8.
4735
What is -156133 (base 8) in base 12?
-2878b
Convert -10000001110011 (base 2) to base 9.
-12350
What is 6062 (base 9) in base 3?
20002002
Convert -2200103 (base 4) to base 2.
-10100000010011
4005 (base 6) to base 11
720
Convert -e5 (base 16) to base 4.
-3211
What is 4b9 (base 12) in base 10?
717
What is a5 (base 15) in base 7?
311
-3b0 (base 14) to base 2
-1011100110
Convert 222222012 (base 3) to base 7.
111215
What is -1554 (base 8) in base 4?
-31230
-3414043 (base 5) to base 13
-21718
-1000000 (base 3) to base 13
-441
Convert -4630 (base 7) to base 14.
-887
-99b8 (base 14) to base 12
-134a6
What is -100001111001 (base 2) in base 5?
-32134
What is 111100100101 (base 2) in base 8?
7445
Convert -10311 (base 4) to base 14.
-181
Convert -7c18 (base 13) to base 10.
-17428
-5a6 (base 14) to base 3
-1112201
23414 (base 10) to base 15
6e0e
What is -2530 (base 6) in base 13?
-396
311 (base 11) to base 15
1a0
What is -1231 (base 7) in base 16?
-1cf
What is 1abc5 (base 13) in base 10?
52551
What is 412202 (base 5) in base 11?
a0a7
Convert -1525 (base 9) to base 4.
-102011
Convert 102202 (base 3) to base 11.
269
Convert 1fd2 (base 16) to base 15.
2631
2141 (base 9) to base 5
22301
What is -1028 (base 11) in base 13?
-809
11100111000111 (base 2) to base 5
433131
Convert -110001010100101 (base 2) to base 12.
-12745
What is 32b1 (base 12) in base 7?
22225
-447 (base 9) to base 5
-2432
Convert -1121110 (base 3) to base 4.
-102111
Convert -14512 (base 7) to base 5.
-112102
Convert 145064 (base 7) to base 10.
28172
What is -2246 (base 7) in base 14?
-426
What is 8033 (base 11) in base 8?
24674
Convert 202010 (base 3) to base 8.
1037
Convert -610 (base 8) to base 11.
-327
-2002 (base 6) to base 3
-121002
Convert -107 (base 12) to base 2.
-10010111
What is -20033222 (base 4) in base 8?
-101752
What is 584 (base 11) in base 16?
2b9
Convert -91b0 (base 16) to base 8.
-110660
1114 (base 11) to base 16
5bb
Convert -33 (base 11) to base 15.
-26
-231544 (base 6) to base 3
-1000020201
What is 351130 (base 6) in base 7?
153456
What is 3641 (base 8) in base 16?
7a1
What is -1010102 (base 4) in base 13?
-1cb2
Convert 1526 (base 7) to base 14.
316
What is -3345 (base 6) in base 4?
-30101
54002 (base 6) to base 2
1110010110010
What is -11110111001 (base 2) in base 7?
-5523
-1573 (base 8) to base 11
-740
Convert -1382 (base 15) to base 11.
-3153
-3d1 (base 16) to base 6
-4305
Convert -33729 (base 10) to base 7.
-200223
Convert -121310 (base 7) to base 5.
-1201411
20192 (base 14) to base 12
38798
b7c (base 13) to base 7
5502
2330132 (base 4) to base 6
131502
Convert 315133 (base 6) to base 12.
12aa9
-74 (base 16) to base 14
-84
Convert 6289 (base 16) to base 15.
771a
What is -13243 (base 5) in base 7?
-3062
Convert 20210 (base 3) to base 15.
c3
Convert -202322 (base 4) to base 8.
-4272
-365 (base 11) to base 16
-1b2
637 (base 8) to base 14
219
What is 3014 (base 5) in base 11?
31a
Convert 219 (base 15) to base 3.
122120
What is 34123 (base 7) in base 13?
3c19
Convert -3b2 (base 14) to base 13.
-453
793 (base 11) to base 8
1665
What is 6ae (base 16) in base 4?
122232
10a70 (base 13) to base 14
b0b4
What is -4b5 (base 12) in base 7?
-2036
-12006 (base 7) to base 8
-6025
-3b6 (base 15) to base 5
-11341
Convert -113100 (base 4) to base 15.
-693
Convert 1000121 (base 3) to base 13.
454
What is -5ab8 (base 13) in base 2?
-11001000011010
What is -24a (base 14) in base 11?
-387
220211 (base 3) to base 4
22132
50b (base 13) to base 5
11411
10100100010 (base 2) to base 12
916
3578 (base 9) to base 4
221213
What is 27045 (base 8) in base 4?
2320211
What is -1401 (base 6) in base 3?
-111101
-1011001000 (base 2) to base 16
-2c8
What is -15740 (base 10) in base 14?
-5a44
What is 1001011010110 (base 2) in base 13?
226c
Convert -20221 (base 7) to base 12.
-2a17
-3625 (base 11) to base 13
-2211
Convert -918 (base 14) to base 6.
-12134
What is 122211 (base 3) in base 9?
584
What is 2613 (base 7) in base 2?
1111011110
Convert -4050 (base 6) to base 13.
-53a
Convert -8153 (base 10) to base 14.
-2d85
What is 2040 (base 8) in base 10?
1056
Convert -100001001000011 (base 2) to base 11.
-11821
615 (base 8) to base 12
291
What is -587 (base 10) in base 3?
-210202
What is -33573 (base 8) in base 5?
-423303
-5258 (base 10) to base 3
-21012202
Convert 221 (base 13) to base 4.
11231
-639 (base 15) to base 16
-57c
What is 112101 (base 3) in base 2?
110000100
24ba7 (base 13) to base 3
10110011001
What is -1695 (base 11) in base 4?
-201301
-23935 (base 10) to base 14
-8a19
23375 (base 9) to base 5
444440
-44132 (base 7) to base 13
-504b
What is -8075 (base 10) in base 3?
-102002002
What is 754 (base 14) in base 10?
1446
236 (base 10) to base 11
1a5
-11000 (base 4) to base 10
-320
Convert 3133 (base 9) to base 14.
ba2
What is 160 (base 16) in base 6?
1344
Convert -4c8e (base 15) to base 4.
-3333032
-624b (base 15) to base 8
-50443
Convert -14521 (base 6) to base 13.
-10c0
Convert 10c2a (base 14) to base 6.
512530
10110011010 (base 2) to base 14
746
-376a (base 13) to base 3
-101210012
What is 133 (base 9) in base 15?
76
-428 (base 15) to base 13
-572
Convert -323 (base 8) to base 4.
-3103
101 (base 10) to base 4
1211
-111021 (base 3) to base 10
-358
What is -14883 (base 9) in base 6?
-115120
249 (base 12) to base 4
11121
What is -22013 (base 4) in base 15?
-2d2
What is -2a4 (base 11) in base 3?
-111012
-2735 (base 8) to base 11
-1145
What is -4a (base 12) in base 16?
-3a
What is -101011101 (base 2) in base 11?
-298
Convert -211111 (base 3) to base 15.
-2a7
-3875 (base 13) to base 7
-32303
320561 (base 7) to base 11
38785
What is -18852 (base 9) in base 16?
-3320
211001 (base 5) to base 3
100121022
What is -620 (base 12) in base 7?
-2406
-43e (base 16) to base 6
-5010
17 (base 12) to base 3
201
-42882 (base 10) to base 14
-118b0
Convert -5698 (base 13) to base 3.
-121122001
Convert 3050 (base 6) to base 9.
833
Convert -300 (base 6) to base 10.
-108
-1a55 (base 12) to base 4
-302201
What is -651 (base 8) in base 12?
-2b5
What is 101221022 (base 3) in base 7?
32150
What is 464c (base 13) in base 2?
10011010001010
-a78 (base 12) to base 7
-4316
What is -4062 (base 10) in base 11?
-3063
What is 2466 (base 10) in base 8?
4642
What is -4392a (base 11) in base 13?
-22ca4
-564 (base 10) to base 12
-3b0
-88 (base 11) to base 3
-10120
What is 114330 (base 6) in base 13?
4770
Convert 27513 (base 8) to base 10.
12107
Convert -12285 (base 10) to base 12.
-7139
Convert 14461 (base 7) to base 3.
12111121
-1101212 (base 3) to base 13
-608
What is 4313332 (base 5) in base 2?
10001110100000111
101001100 (base 2) to base 6
1312
What is 1022212 (base 3) in base 10?
968
What is 144042 (base 5) in base 15?
1c4c
-51240 (base 6) to base 10
-6792
What is 4413 (base 6) in base 15?
47c
-115225 (base 6) to base 14
-3a37
4a3 (base 15) to base 5
13203
Convert -322b (base 13) to base 8.
-15466
32101 (base 4) to base 9
1224
What is 3204 (base 5) in base 4?
12231
Convert -2121 (base 4) to base 16.
-99
What is -1065 (base 11) in base 9?
-1827
What is 394 (base 12) in base 15?
264
What is 1c (base 14) in base 6?
42
1312102 (base 4) to base 2
1110110010010
110120 (base 3) to base 13
201
What is -31000132 (base 4) in base 12?
-269ba
What is -4241 (base 5) in base 6?
-2351
What is 6369 (base 14) in base 2?
100001011111001
Convert -22028 (base 11) to base 5.
-2010344
Convert 31320 (base 8) to base 10.
13008
331 (base 12) to base 10
469
What is 359 (base 10) in base 9?
438
1664 (base 10) to base 5
23124
What is -5042 (base 7) in base 4?
-123101
Convert 1010111110010 (base 2) to base 6.
42002
Convert -1262 (base 7) to base 10.
-485
Convert 202313 (base 4) to base 5.
32411
What is -1744 (base 8) in base 3?
-1100220
What is -100001011 (base 2) in base 15?
-12c
What is 7970 (base 11) in base 14?
3b6b
What is 53030 (base 8) in base 6?
250
|
{
"pile_set_name": "DM Mathematics"
}
|
c) -5
a
Let g(b) = 5*b**2 + 1. Let u be g(-1). Let x = -6 + 8. Let r = -1.7 + x. What is the smallest value in -0.3, r, u?
-0.3
Let d be ((-27)/(-12) - 1) + -1. Let q = -0.06 + -0.04. Which is the smallest value? (a) -2 (b) d (c) q
a
Let j = -1.2 + 0.2. What is the second biggest value in j, -0.1, -0.4?
-0.4
Suppose 3*x = 3*f + 126, x - 4*f - 18 - 33 = 0. Suppose -5*l = 2*b + x, -4*l = -0*b - 2*b + 42. What is the biggest value in 0.5, 3, l?
3
Let t = 0.07 - 1.07. Let m = 6 + -2. Let u = 425/14 - 59/2. Which is the smallest value? (a) u (b) t (c) m
b
Let h = 55 + -60. Which is the second biggest value? (a) h (b) -4 (c) -3
b
Let i = -5 + 6. Let q = -1.3 + i. Let h = -9 + 13. Which is the smallest value? (a) h (b) -2 (c) q
b
Let s = 14 + -14.4. What is the fourth biggest value in -0.2, s, 5, -1/7?
s
Let y = -7 - -4. Suppose 2*t + 3*g + g - 8 = 0, 3*g - 12 = 0. What is the third biggest value in 0.5, t, y?
t
Let y = 0.7 + -0.7. Let f = 5 + y. Which is the third smallest value? (a) 0.4 (b) 0.5 (c) f
c
Let n = -1.08 - -1.08. What is the fourth biggest value in -2/3, 3, n, 2/3?
-2/3
Let w = 6/19 - 61/133. Suppose 0 = s - 4*s - 15. Which is the biggest value? (a) -2/15 (b) w (c) s
a
Let o be (2/(-2))/(-9 + 7). Which is the third biggest value? (a) 2/7 (b) o (c) 2
a
Let n be (-1)/(-3)*(-4 + (-87)/(-24)). Which is the third biggest value? (a) 5 (b) 2/9 (c) n (d) -0.1
d
Suppose -12 = 4*d - 32. Suppose -d*q = -17 + 7. Which is the biggest value? (a) q (b) -3 (c) 1/8
a
Let z be -2 - -1 - 22/(-18). Let g = 12 - 10. Let h = g - 2.1. Which is the second smallest value? (a) h (b) z (c) 4
b
Let j = -9 + 10. Which is the biggest value? (a) j (b) 3 (c) 0.1
b
Let x = 1 - 0.8. What is the biggest value in 2/7, 2, x?
2
Let z = -2.7 - -1.6. Let n = 1 + z. What is the third smallest value in 2/17, -3/2, n?
2/17
Let y = 13.1 - -47.9. Which is the biggest value? (a) y (b) 3 (c) 4
a
Let c = -32 - -36. What is the third biggest value in c, 0.2, -2/11?
-2/11
Let n(q) be the second derivative of -q**5/20 + q**4/4 + q**3 - 5*q**2/2 - 5*q. Let z be n(4). Which is the third smallest value? (a) z (b) 4 (c) 0.3
b
Let v = 9 - 9. Suppose q - 5 = 0, -5*g + 2*q - 3*q - 10 = 0. Let z = g - v. What is the biggest value in -1, -0.2, z?
-0.2
Let t = 6 + -10. Let o be t/20 - (-106)/130. Let d = o + -19/52. What is the second biggest value in 5, -2/7, d?
d
Let n = 6.025 + -0.025. Which is the second biggest value? (a) -2/23 (b) n (c) 0
c
Let r = -5 + 5.2. What is the second smallest value in -0.2, r, -0.3?
-0.2
Let m = 0.2 - 0.3. Let z = 7.1 - -1.9. Let p = -6 + z. Which is the biggest value? (a) p (b) -0.2 (c) m
a
Let w = 3 + -8. Let b = 2 + -4. Let s = -55 + 163/3. What is the biggest value in b, w, s?
s
Let x = 0.1 - 4.1. Let m = 4.03 - 0.03. Let j = 1 + m. What is the second smallest value in x, 1/8, j?
1/8
Let v = -0.41 + -4.29. Let i = -5 - v. What is the smallest value in i, 0, 4?
i
Let k = 267 - 267.4. Let x = 26/7 - 300/77. Which is the third smallest value? (a) k (b) x (c) 9
c
Let q = -164/5 + 1466/45. Let c = 45 + -47. What is the third biggest value in q, 0.5, c?
c
Let l = -13 + 10. Which is the biggest value? (a) l (b) 2 (c) 0.5 (d) -1
b
Let g = -0.57 + 0.07. Let t = g + 0.7. Which is the third smallest value? (a) t (b) 5/6 (c) 3
c
Let i = 6 - 8. Let p be 2/2*(11 + -1). Let m = p + -29/3. What is the second smallest value in m, 0.4, i?
m
Let w = -145.7 - -144. What is the second smallest value in w, 4, 0.2?
0.2
Let f = -0.07 + -0.03. Let l = 0.2 - -2.8. Let d = l - 3.2. Which is the third smallest value? (a) f (b) d (c) -4
a
Let v = 56 - 34. Let m = v - 22.3. Which is the second biggest value? (a) 0.1 (b) 2 (c) m
a
Let c = 8 - 8. Let f = c + -1. What is the smallest value in f, 1, -1/5?
f
Let l = -13 + 13. Suppose l = -4*o - w - 12, -14 = -3*o + 4*w + w. Which is the second biggest value? (a) o (b) -3 (c) -0.1
a
Let v = 0.5 - 0.8. Which is the second biggest value? (a) -2/7 (b) 1/14 (c) v (d) 0.2
b
Let k(r) = 2*r**2 - 16*r - 1. Let v be (-8)/(-10)*(4 + 6). Let l be k(v). What is the smallest value in l, -5, 3?
-5
Let a = 101 - 106. Let n = -4 + 6. What is the third smallest value in a, 3/8, n?
n
Let q = -5.74 + 0.24. Let c = 5 + q. What is the third biggest value in -3/8, c, -3?
-3
Let j(d) = -d + 6 - 4*d + 6*d + 11. Let i be j(-15). Let s = -4 - -5. Which is the biggest value? (a) s (b) 2/11 (c) i
c
Suppose -2*z + 5 = u, -5*z - 9 + 27 = -3*u. Which is the smallest value? (a) -2/11 (b) -0.3 (c) z
b
Let o = -0.8 + 0.8. Let u = 0.3 - o. Let h = 0.6 - u. What is the second biggest value in h, -1, -0.2?
-0.2
Suppose -8*r = -12*r - 4. Which is the second smallest value? (a) -6/17 (b) -1/2 (c) r
b
Let z = 65.9 - 66. What is the third smallest value in -3, -3.9, z?
z
Suppose -3*j - 5*g + 35 = -j, -5*j = -3*g - 10. Suppose j*a = 8 + 2. Suppose -4*o - 69 = 5*n - 24, 5*o + 15 = a*n. What is the second biggest value in 1, n, -3?
-3
Let s be ((-2)/(-20))/((-8)/(-16)). What is the third biggest value in -2, -6, s?
-6
Let i = 4.1 - 0.1. Let j be 0/6 - 105/(-4). Let d = j + -26. Which is the third biggest value? (a) 2/3 (b) d (c) i
b
Let m be 14/(-10) + (-3)/(60/(-8)). Let u = 5 + -2. Let n = u + -3. What is the second biggest value in -0.3, n, m?
-0.3
Let x be -2 + 3*(-24)/(-9). Suppose -x*g = 21 + 9. Let j = -5/16 - -9/80. What is the third biggest value in j, 4, g?
g
Let n = -2.4 - 0.4. Let u = -3 - n. What is the second biggest value in u, 2/9, 2?
2/9
Suppose 3*s + 4 = 4*r, -2*s = s - 5*r + 5. What is the second smallest value in -1/3, s, -6?
-1/3
Let j = 0.261 - -0.039. Which is the smallest value? (a) -2 (b) 5 (c) 1/3 (d) j
a
Let n = -0.3 + 0.1. Let h = -12 - -5. Let u = h - -3. What is the second smallest value in n, u, 1?
n
Let b be (3/9)/((-1)/(-9)). Suppose 5 = 5*u, b*x + 5*u - 7 = 1. Let d = -2.02 - -0.02. What is the second biggest value in d, -0.1, x?
-0.1
Let a = 5.1 + -4.68. Let u = 0.02 - a. Let l = 8.4 + -10.4. What is the second biggest value in l, u, 0.5?
u
Let x = -0.2 - -0.5. Let k = x - 0.29. Let q = k - 0.31. Which is the second biggest value? (a) q (b) 0 (c) 3/2
b
Let a be 3 + -4 + 2 - 0. Let d be -2 + 1 + 5 + -1. What is the smallest value in a, 4, d?
a
Let v = -1.47 + 0.57. Which is the smallest value? (a) -2 (b) v (c) 3
a
Let l be (-28)/10 - 1 - (-25)/(-125). Which is the second biggest value? (a) 4/9 (b) -4/7 (c) l (d) -2
b
Let u = 0 + -1. Let b = u + 0.9. What is the biggest value in 1, b, 0.3?
1
Let f = 11 + -11.1. Let h = f + -2.9. Let c = -1.2 + 0.2. What is the third smallest value in 3, h, c?
3
Let q = 197.91 - 202. Let r = 0.09 + q. Let x = -4.879 + -0.121. Which is the second smallest value? (a) r (b) 0.4 (c) x
a
Let y = 26 - 16. Let m = y - 14. What is the second biggest value in m, 0.2, 3?
0.2
Let j = -7 + 10. Let u(b) = -12*b**3 + 5*b**2 - 2*b - 1. Let c be u(j). Let z = c - -3144/11. What is the second smallest value in z, -3/4, 5?
z
Suppose -j = -2*j - 6. Let g be (-2)/j - (-4)/12. Which is the third biggest value? (a) g (b) 1/3 (c) 0.4
b
Let t be (-40)/(-12)*(-6)/(-45). Which is the smallest value? (a) 1/3 (b) t (c) -2
c
Let o = 0.19 - -0.31. What is the fourth biggest value in 0.4, 3, 3/5, o?
0.4
Let v = 5.5 + -7. Let p = v - -1. Let x = -32.3 - -29.3. Which is the third smallest value? (a) -2 (b) p (c) x
b
Let a = -0.089 + -4.911. What is the third biggest value in -12, a, 0?
-12
Let k = 4 + -3. Let u = k - -1. Which is the third biggest value? (a) -5 (b) 0 (c) u
a
Suppose 3*p + 5*w = -4 - 12, -7 = p + 2*w. Let u be (8/6)/2*-6. What is the second smallest value in p, -5, u?
u
Let z = 16.6 + -10.5. Let i = -0.1 + z. Let r = -5.5 + i. Which is the smallest value? (a) r (b) 0.4 (c) -3
c
Let t = -439 + 9221/21. Which is the second biggest value? (a) 2 (b) -3 (c) t
c
Let y = 0.16 - 0.06. Let v = y + 0.3. What is the second biggest value in v, -0.3, -2/9?
-2/9
Let x(w) = w**3 + 5*w**2 + 5*w + 1. Let q be x(-4). Let t = 3 + -7. Let r = t - -7. What is the third biggest value in q, r, 1?
q
Let g = -0.19 - -0.29. Let b = -2 + 4. What is the biggest value in b, g, -5?
b
Suppose 0 = -5*b - 5, -t = -4*t + 5*b + 5. Suppose t*h + 8 = -2*h. W
|
{
"pile_set_name": "DM Mathematics"
}
|
0*v.
-(v - 1)*(v + 1)/2
Let f(h) = -8*h**2 - 4*h. Let x(t) = -t**2 - t. Let z(r) = -f(r) + 4*x(r). Let z(l) = 0. What is l?
0
Let j = 13 + -10. Determine p, given that 0*p + 4*p**j - 1 - 2*p**4 + 3 - 4*p = 0.
-1, 1
Let u = 1/155 + 303/1085. Let m = 8/77 + 2/11. Solve 0*r + 0 - u*r**2 + m*r**3 = 0.
0, 1
Let d(h) be the second derivative of h**5/45 - h**4/27 - 39*h. Factor d(p).
4*p**2*(p - 1)/9
Let f = -26 - -26. Let u(q) be the third derivative of f + 0*q**3 - 1/60*q**6 + 0*q**4 + 1/60*q**5 + 1/210*q**7 + 0*q + 2*q**2. What is z in u(z) = 0?
0, 1
Let z(v) = v**2 + 1. Let i(x) = -x**2 + x - 1. Let h(w) = i(w) + 2*z(w). Let q(d) = 8*d**2 + 6*d. Let j(c) = 2*h(c) - q(c). Factor j(a).
-2*(a + 1)*(3*a - 1)
Solve 3/2*a**2 + 9/2*a**3 - 3 + 3/2*a**4 - 9/2*a = 0 for a.
-2, -1, 1
Suppose -4*v + 20 = v, 3*v = 5*c - 8. Let h(z) be the first derivative of -z**2 + 4/5*z**5 + 1/3*z**6 + 0*z + 0*z**c - 3 - 4/3*z**3. Solve h(i) = 0 for i.
-1, 0, 1
Let b(a) = -a**5 + a**4 + a**3 - a**2 + a - 1. Let x(y) = -6*y**5 - 9*y**4 + 33*y**3 - 15*y**2 + 12*y - 15. Let t(g) = -15*b(g) + x(g). Factor t(h).
3*h*(h - 1)**3*(3*h + 1)
Let v(n) be the first derivative of 3*n**5/25 - 3*n**4/5 + 6*n**3/5 - 6*n**2/5 + 3*n/5 - 8. Factor v(t).
3*(t - 1)**4/5
Let c(p) = 147*p**4 - 60*p**3 - 366*p**2 - 177*p - 27. Let b(m) = -147*m**4 + 59*m**3 + 366*m**2 + 176*m + 28. Let w(x) = 3*b(x) + 4*c(x). Factor w(y).
3*(y - 2)*(y + 1)*(7*y + 2)**2
Let v(g) be the third derivative of -g**7/420 + 7*g**6/240 - 3*g**5/20 + 5*g**4/12 - 2*g**3/3 + 6*g**2. Factor v(b).
-(b - 2)**3*(b - 1)/2
Suppose 0 = v + 3*a - 2*a - 7, 10 = 2*a. Factor -1/3 - 1/3*s**v - 2/3*s.
-(s + 1)**2/3
Factor 6*d**3 + 5*d + 4 - 26*d + 102*d**2 - 92*d**2 - 3*d**4 - d**5 + 5.
-(d - 1)**3*(d + 3)**2
Let x(i) be the first derivative of i**6/30 + 11*i**5/60 + 5*i**4/24 - i**3/3 + 2*i**2 + 1. Let h(c) be the second derivative of x(c). Factor h(g).
(g + 1)*(g + 2)*(4*g - 1)
Let m(p) = p**2 - 5*p - 1. Let f be m(7). Let b be (f - 9) + (-2)/2. Factor b*s - s**5 + 3*s**4 + s**4 - 6*s**3 + 4*s**2 - 4*s.
-s*(s - 1)**4
Let l be (-3 - (-3 - 1)) + 2. Factor m + m**2 - 1 - 10*m**3 + m**3 + 8*m**l.
-(m - 1)**2*(m + 1)
Find d, given that 2/5*d**2 + 2/5*d**3 + 0*d + 0 = 0.
-1, 0
Find m such that -2/3*m**3 - 4/3*m**2 + 2/3*m**4 + 0*m + 0 = 0.
-1, 0, 2
Factor w + 1 + 3 + 7*w + 9*w**2 + 4*w.
(3*w + 2)**2
Let m(x) = 47*x**2 - 26*x + 2. Let i(w) be the first derivative of -46*w**3/3 + 25*w**2/2 - w + 4. Let j(k) = -2*i(k) - 3*m(k). Factor j(q).
-(7*q - 2)**2
Let w(o) be the first derivative of -o**5/5 - o**4/4 + o**3/3 + o**2/2 - 8. Factor w(h).
-h*(h - 1)*(h + 1)**2
Let u(g) = -2*g - 8. Let x be u(-8). Suppose 13*o - x = 9*o. Factor 0 - 2*z**o - 3/2*z**3 + z**4 + 1/2*z**5 + 2*z.
z*(z - 1)**2*(z + 2)**2/2
Let a(y) be the second derivative of y + 1/12*y**3 - 1/40*y**5 - 1/12*y**4 + 1/2*y**2 + 0. Determine o, given that a(o) = 0.
-2, -1, 1
Let k(f) be the first derivative of -f**4/32 + f**3/24 + f**2/8 + 11. Factor k(n).
-n*(n - 2)*(n + 1)/8
Suppose 273*w - 10 + 1948*w**3 + 63*w + 1176*w**2 + 42 - 576*w**3 = 0. Calculate w.
-2/7
Suppose -4*f - 12 = -20. Let q(d) be the first derivative of 0*d - 2/3*d**3 + f - 2*d**2. Factor q(r).
-2*r*(r + 2)
Let v(w) be the first derivative of -3*w**4/2 - 11*w**3/2 + 9*w**2/4 - 11. Let v(k) = 0. Calculate k.
-3, 0, 1/4
Suppose 596*b**2 - 2*b**3 + 4*b**3 - 608*b**2 + 18*b = 0. Calculate b.
0, 3
Let v(n) = -7*n**3 - 19*n**2 - 17*n - 8. Let f(g) = -13*g**3 - 37*g**2 - 35*g - 16. Let r(l) = -3*f(l) + 5*v(l). Factor r(k).
4*(k + 1)**2*(k + 2)
Let z(a) be the first derivative of -a**6/48 - a**5/10 + 3*a**4/16 + a**3/6 - 5*a**2/16 - 15. Determine c so that z(c) = 0.
-5, -1, 0, 1
Let t(z) be the second derivative of -z**4/4 - 5*z**3/2 - 6*z**2 + 22*z. Factor t(d).
-3*(d + 1)*(d + 4)
Let b(f) = f**3 - 4*f**2 - 5. Let c be b(4). Let g be (-6)/(-4)*(c + 17). Factor -3*w - 29*w + 42*w**2 + 2 + 6 - g*w**3.
-2*(w - 1)*(3*w - 2)**2
Let t be (-11)/(-3) - 20/30. Let d = 6 - t. What is s in 4/9*s + 0*s**2 + 2/9 - 2/9*s**4 - 4/9*s**d = 0?
-1, 1
Suppose -5*t + 3*r + 30 = 0, t - 16 = 5*r + 12. What is k in -2 - 225/2*k**2 + 162*k**t + 26*k = 0?
2/9, 1/4
Let a be (-39)/520*(-2)/36. Let f(r) be the third derivative of 0*r - a*r**5 - 1/6*r**3 + 1/24*r**4 + r**2 + 0. Factor f(y).
-(y - 2)**2/4
Let i(o) be the first derivative of -3*o**5/5 + 3*o**4/2 - 3*o**2 + 3*o + 5. Suppose i(x) = 0. What is x?
-1, 1
Let g be 2/4*(3 + 3)/12. Solve g*l**3 - 1/4*l**4 + 0 + 0*l + 0*l**2 = 0 for l.
0, 1
Let m(z) = -z**2 + 3*z + 2. Let g be m(2). Let i = g - 1. Let 0*c**5 + c**5 + 3*c**3 - 4*c**i = 0. Calculate c.
-1, 0, 1
Let v(m) = m. Let x be v(4). Suppose -5*o + 6 = -l, -x*o = -2*o + l - 8. Find p such that p**3 - 3*p**3 + 0*p**3 + 2*p + 2*p**2 - o*p**4 = 0.
-1, 0, 1
Let x(o) be the first derivative of -1/12*o**3 + 0*o + 2 + 0*o**2. Factor x(c).
-c**2/4
Find x, given that 8/7 + 2/7*x**2 - 8/7*x = 0.
2
Let d(h) be the third derivative of -h**8/2688 - h**7/840 + h**5/240 + h**4/192 + 18*h**2. Factor d(g).
-g*(g - 1)*(g + 1)**3/8
What is n in 0 - 18/7*n**2 + 9/7*n**4 + 0*n - 3*n**3 = 0?
-2/3, 0, 3
Suppose 11 = -2*i + 1. Let n be 3/i + (-65)/(-25). Factor -2/3*k + 0 + 2/3*k**3 + 0*k**n.
2*k*(k - 1)*(k + 1)/3
Factor 0 + c**3 - 1/2*c**2 + 0*c - 1/2*c**4.
-c**2*(c - 1)**2/2
Let a be -1 - (-5 - (-1)/(-1)). Let l(f) be the first derivative of 0*f**4 + 0*f**3 + 0*f + 0*f**2 + 1 + 2/5*f**a. Determine p, given that l(p) = 0.
0
Suppose -2*k + 7 = 3. Let v be (k + 0)*(-1)/(-2). Factor -v - 1/3*n**2 - 4/3*n.
-(n + 1)*(n + 3)/3
Let a(x) be the second derivative of -1/10*x**5 + 0 - 1/45*x**6 + 1/9*x**3 + 3*x + 0*x**2 + 2/63*x**7 + 1/18*x**4. Determine w, given that a(w) = 0.
-1, -1/2, 0, 1
Let k(h) be the third derivative of h**10/9072 - h**8/7560 + h**5/60 + h**2. Let y(u) be the third derivative of k(u). Solve y(q) = 0.
-2/5, 0, 2/5
Let u be (-9)/(-3)*(-2)/(-12). Let j = 25/26 - 6/13. Suppose u*k**2 - j*k - 1 = 0. What is k?
-1, 2
Factor 3*a**2 - 8*a**4 + 5*a**4 + 3*a**3 - 3*a**5 + 0*a**5.
-3*a**2*(a - 1)*(a + 1)**2
Let t(c) be the third derivative of c**8/168 - 4*c**7/105 - c**6/30 + 2*c**5/5 + 3*c**4/4 + 4*c**2. Factor t(o).
2*o*(o - 3)**2*(o + 1)**2
Let g(o) = -9*o**2 + 49*o - 51. Let x(l) = 2*l**2 - 10*l + 10. Let a(u) = 2*g(u) + 11*x(u). Factor a(k).
4*(k - 2)*(k - 1)
Suppose 7 = 4*c - 13. Let v(k) be the third derivative of 0*k - 1/180*k**c - 1/18*k**4 + 0 - 2/9*k**3 - k**2. Factor v(u).
-(u + 2)**2/3
Let u(n) = -4*n**3 - 15*n**2 + 3*n. Let v(w) = 2*w**3 + 7*w**2 - w. Let z(d) = 3*u(d) + 7*v(d). Suppose z(i) = 0. What is i?
-1, 0
Determine i so that 3*i + 10*i**3 - 2*i + 3*i + 14*i**2 = 0.
-1, -2/5, 0
Let 9*r**4 + 24 + 2*r**3 + 19*r**3 - 16 - 18*r**2 - 36*r + 16 = 0. Calculate r.
-2, 2/3, 1
Let g be 2/(-4) + (-25)/(-10). Suppose 4*x - 4 = s, -x - s - g = -2*s. Factor x*z**2 + 4*z + 0 - 3*z**2 - 4.
-(z - 2)**2
Let w be (-2)/((-2)/4 + (-6)/24). Find m such that -2/3*m**2 - 8/3 + w*m = 0.
2
Factor -4*l**2 - 2 - 3 + 6*l**2 + 3*l**2.
5*(l - 1)*(l + 1)
Let g(v) be the second derivative of -v**7/42 + v**6/15 + v**5/10 - 2*v**4/3 + 7*v**3/6 - v**2 - 20*v. Factor g(l).
-(l - 1)**4*(l + 2)
Let t(i) = i**3 + 4*i**2 + 5*i. Let s(a) = -1. Let l(v) = -2*v**3 - 11*v**2 - 16*v - 1. Let n(j) = l(j) - s(j). Let y(k) = -2*n(k) - 7*t(k). Solve y(b) = 0.
-1, 0
Let y(b) be the third derivative of b**10/151200 + b**9/20160 + b**8/10080 + 2*b**5/15 + 9*b**2. Let c(p) be the third derivative of y(p). Factor c(r).
r**2*(r + 1)*(r + 2)
Let b be (25/135)/(45/54). Let d be (4/(-3))/(-2)*3. Determine h, given that -2/9*h**d - b + 4/9*h = 0.
1
Let g = 0 - 1. Let z be 3/(-9) + g/(-3). What is d in -10/9*d**3 + 2/3*d**5 + z + 4/9*d + 2/9*d**4 - 2/9*d**2 = 0?
-1, 0, 2/3, 1
Let o(y) be the first derivative of -1 - 1/8*y**4 - y**3 - 3*y**2 - 4*y. Let o(f) = 0. What is f?
-2
Let s be (-7)/(-2*(-1)/(-2)). Let o be (s/2)/((-3)/(-6)). Solve 0*g**3 - 4*g**3 + 6*g**4 - 3*g + o*g - 6*g**2 = 0.
-1, 0, 2/3, 1
Let r(a) be the second derivative of -a**4/36 - 5*a**3/18 - 2*a**2/3 + 53*a. Suppose r(p) = 0. What is p?
-4, -1
Let l(d) be the second derivative of -d**5/5 + d**4 - 8*d**2 + 8*d. Find v such that l(v) = 0.
-1, 2
Let z(g) be the second derivative of g**6/15 + 2*g**5/25 - g**4/30 - 28*g. Let z(o) =
|
{
"pile_set_name": "DM Mathematics"
}
|
- 32. Determine u(7).
-11
Let f(o) = o**3 + 5*o**2 + 7*o + 8. Determine f(-3).
5
Let c(q) = q**3 + 2*q**2 - 8*q + 3. What is c(-4)?
3
Let o(d) = -3*d - 132. Determine o(-33).
-33
Let w(m) = -3*m**2 + 8*m + 2. Give w(-5).
-113
Let u(q) = -q**2 + 7*q + 31. Give u(10).
1
Let y(a) = a**2 + 9*a - 42. What is y(-12)?
-6
Let d(j) = 10*j - 282. Calculate d(27).
-12
Let b(a) = -a**2 + 21*a - 42. Determine b(19).
-4
Let a(o) = -2*o - 6. What is a(10)?
-26
Let v(b) = b**3 - 5*b**2 - 2*b + 9. Calculate v(5).
-1
Let g(m) = -21*m**2. Calculate g(1).
-21
Let i(h) = -h - 16. Determine i(-15).
-1
Let i(d) = 2*d**3 - 13*d**2 + 6*d - 3. Calculate i(6).
-3
Let m(a) = 2*a**2 - 1. Calculate m(-2).
7
Let b(a) = a**2 + 9*a + 10. Give b(-6).
-8
Let w(p) = -3*p**2 + p + 37. Calculate w(-7).
-117
Let l(m) = 62*m. Give l(-1).
-62
Let o(x) = -x - 13. Give o(9).
-22
Let m(l) = 6*l + 7. Determine m(-8).
-41
Let h(f) = f**3 + 3*f**2 - 5*f + 1. Give h(-4).
5
Let z(y) = 2*y**3 - 2*y**2 - 5*y + 2. Calculate z(3).
23
Let o(q) = 7*q**3 + 2*q**2 + q. Give o(-1).
-6
Let q(u) = -2*u**2 + 39*u - 17. Determine q(19).
2
Let w(q) = 2*q**3 - 17*q**2 - 4*q - 26. Calculate w(9).
19
Let l(x) = -x**3 - 8*x**2 - 2*x - 5. Calculate l(-8).
11
Let n(t) = t**3 - t**2 - t - 49. What is n(0)?
-49
Let k(v) = -v + 1. Determine k(-4).
5
Let a(x) = -5*x**2 + 60*x - 18. What is a(12)?
-18
Let y(k) = -11*k + 46. Calculate y(4).
2
Let f(a) = a**3 - 8*a**2 + 10*a + 9. Give f(6).
-3
Let o(k) = -k**2 - 8*k - 9. What is o(-10)?
-29
Let r(y) = -3*y + 10. Give r(6).
-8
Let m(q) = q**3 + q**2 + 137. What is m(0)?
137
Let c(l) = -17*l**3 - 2*l + 2. Calculate c(1).
-17
Let u(z) = 4*z - 47. Give u(12).
1
Let p(g) = 2*g**3 + 6*g**2 - 11*g + 6. Determine p(-5).
-39
Let y(i) = i**2 - 12*i + 13. Determine y(9).
-14
Let n(g) = g**3 + 5*g**2 - 8*g + 7. Give n(-6).
19
Let z(q) = -q**3 - 26*q**2 + 54*q - 58. Calculate z(-28).
-2
Let a(r) = 4*r**2 + 7*r + 5. Calculate a(-1).
2
Let w(i) = -11*i - 309. Give w(-28).
-1
Let h(t) = t**2 - 9*t - 15. Calculate h(11).
7
Let w(f) = 14*f - 2. What is w(-2)?
-30
Let o(v) = -37*v**3 + v**2 - 5*v - 5. What is o(-1)?
38
Let t(d) = -d**2 - 7*d + 27. What is t(-10)?
-3
Let w(y) = -y**3 - 7*y**2 - 3*y - 5. Give w(-7).
16
Let p(b) = 2*b + 19. Give p(6).
31
Let f(m) = 2*m**3 - 2*m**2 - 8*m - 4. What is f(-2)?
-12
Let b(k) = k**2 + 2*k - 11. Calculate b(0).
-11
Let c(m) = -m + 27. Give c(16).
11
Let k(f) = f**3 - f**2 + 5*f + 16. Determine k(-4).
-84
Let b(t) = t**3 - 5*t**2 + 8. Calculate b(6).
44
Let w(p) = -p + 10. Determine w(0).
10
Let h(v) = -3*v. Calculate h(-3).
9
Let j(f) = f**2 - 23*f + 26. What is j(20)?
-34
Let c(n) = n**3 - 9*n**2 - 16*n + 11. What is c(10)?
-49
Let r(f) = f + 20. Give r(0).
20
Let o(u) = -5*u + 74. Determine o(9).
29
Let k(y) = -3*y**2 + 20*y - 4. Calculate k(6).
8
Let i(y) = y**3 - 49*y**2 + 2*y - 97. Calculate i(49).
1
Let h(w) = w**2 + 13*w + 6. Give h(-6).
-36
Let w(n) = -n**3 - 9*n**2 - 5*n + 25. Calculate w(-8).
1
Let o(h) = -2*h**3 - 23*h**2 - 11*h - 13. Determine o(-11).
-13
Let r(n) = -n**2 + 19*n + 8. Calculate r(17).
42
Let x(s) = s**3 - 5*s - 2. Calculate x(-4).
-46
Let r(y) = -3*y + 5. Calculate r(2).
-1
Let v(m) = m**2 + 8*m - 1. Determine v(-6).
-13
Let c(t) = 68*t + 27. Give c(-1).
-41
Let u(l) = -l**2 + 5*l + 30. Give u(-9).
-96
Let j(k) = k**3 + 17*k**2 + k + 6. Give j(-17).
-11
Let a(p) = -24*p**2 + 2*p - 1. Give a(1).
-23
Let o(f) = 8*f**2 - 2*f - 1. Determine o(-1).
9
Let t(m) = -m. Calculate t(0).
0
Let k(h) = 5*h**3 - 6*h + 8. Determine k(2).
36
Let a(c) = 16*c + 3. Give a(7).
115
Let h(g) = -2*g**3 - 22*g**2 + 19*g - 37. Calculate h(-12).
23
Let k(a) = a**3 + a**2 + 34. Give k(0).
34
Let v(d) = -2*d**2 - 30*d + 17. Give v(-15).
17
Let p(i) = -i**2 - 3*i + 9. Give p(4).
-19
Let y(q) = q**3 + 13*q**2 - 12*q + 24. Give y(-14).
-4
Let n(i) = 3*i**3 + i**2 - 4*i + 13. Give n(-4).
-147
Let u(y) = 4*y + 6. Calculate u(-9).
-30
Let f(o) = 5*o**2 + o - 3. What is f(-2)?
15
Let o(d) = -3*d**2 - 21*d + 110. Determine o(6).
-124
Let h(j) = -j**3 + 21*j**2 + 19*j + 76. What is h(22)?
10
Let g(s) = -13*s + 84. Calculate g(6).
6
Let g(j) = 4*j**3 - 60*j**2 + 3*j - 57. Determine g(15).
-12
Let x(w) = 4*w**3 - 20*w**2 + 16*w. Give x(4).
0
Let o(v) = 6*v - 4. Calculate o(3).
14
Let i(d) = 85*d + 263. What is i(-3)?
8
Let v(p) = 20*p**3 + p**2 + p + 1. Calculate v(-1).
-19
Let w(f) = f**3 + 4*f**2 + 4*f + 2. Calculate w(-2).
2
Let i(c) = c**2 - 2*c + 1. Calculate i(1).
0
Let a(t) = -t**3 - 11*t**2 + 23*t - 25. Determine a(-13).
14
Let g(n) = 5*n + 103. Give g(-24).
-17
Let i(u) = 3*u**3 - 18*u**2 + 2*u - 16. Calculate i(6).
-4
Let h(m) = m**2 - 20*m - 19. Determine h(21).
2
Let t(a) = -a**3 + a - 110. Calculate t(0).
-110
Let z(c) = -2*c**2 + 6. Determine z(5).
-44
Let q(n) = 7*n - 3. What is q(-4)?
-31
Let n(x) = 2*x**2 - 13*x + 6. Determine n(5).
-9
Let k(u) = -u + 3. Calculate k(0).
3
Let x(v) = -5*v**3 - v**2. Calculate x(-1).
4
Let d(z) = z**3 - 14*z**2 + 14*z - 4. Determine d(13).
9
Let v(y) = y**3 + 16*y**2 + 14*y - 12. Give v(-15).
3
Let m(k) = -2*k + 48. Give m(17).
14
Let l(w) = 2*w - 4. Determine l(-7).
-18
Let i(a) = -a + 15. Calculate i(12).
3
Let s(a) = -11*a - 49. What is s(-6)?
17
Let c(h) = -6*h**2 - 3*h + 3. Give c(2).
-27
Let k(m) = -m**3 - m**2 - 5. Give k(-3).
13
Let l(h) = -h**2 - 6*h - 5. Calculate l(-4).
3
Let n(g) = -g**2 - 3*g + 2. What is n(-2)?
4
Let g(r) = r**2 - r + 3. What is g(3)?
9
Let g(v) = v**2 + 3*v. What is g(-2)?
-2
Let l(b) = b**3 - 4*b**2 - 5. Determine l(4).
-5
Let j(r) = r**2 - 6*r - 1. Give j(7).
6
Let y(r) = r**2 + 16*r + 10. What is y(-15)?
-5
Let f(v) = -12*v**2 + 12*v + 18. Give f(-2).
-54
Let u(q) = q**3 + q**2 + 2*q. What is u(2)?
16
Let y(j) = 4*j**2 - 3. Determine y(-2).
13
Let f(g) = -g**2 - 12*g - 12. Calculate f(-8).
20
Let g(r) = r**2 - 18*r - 50. What is g(19)?
-31
Let s(a) = -a**3 - 8*a**2 + 8*a - 14. Determine s(-9).
-5
Let z(m) = -m**3 + 20*m**2 - 17*m - 29. Determine z(19).
9
Let d(t) = -4*t - 168. Determine d(-39).
-12
Let o(c) = 4*c - 88. What is o(17)?
-20
Let z(q) = 6*q**2 - 8*q + 4. Calculate z(2).
12
Let q(u) = 4*u**3 - u - 1. What is q(-1)?
-4
Let y(q) = -q**2 + 20*q - 36. Calculate y(18).
0
Let n(d) = -d**3 - 7*d**2 + 10*d + 88. Give n(-6).
-8
Let j(z) = 11*z**2 + 11*z + 5. Determine j(-1).
5
Let a(k) = -k**3 - 17*k**2 + 40*k - 3. Calculate a(-19).
-41
Let z(m) = -2*m - 20. What is z(-8)?
-4
Let v(s) = -13*s - 20. Calculate v(-8).
84
Let k(b) = -13*b - 2. What is k(-2)?
24
Let f(i) = -i**2 + 3*i + 4. Give f(3).
4
Let l(z) = 5*z**2 + 29*z. Determine l(-6).
6
Let s(i) = -i**2 - 6*i - 8. Determine s(-6).
-8
Let h(d) = -d**3 + 8*d**2 + d - 1. Give h(-1).
7
Let t(r) = 14*r + 31. Determine t(7).
129
Let g(h) = 10*h - 103. Determine g(8).
-23
Let t(k) = k**2 - 27*k + 135. Determine t(20).
-5
Let j(l) = -l**2 + 129*l - 611. Determine j(5).
9
Let v(j) = 2*j**2 + 5*j + 9. Give v(-5).
34
Let f(v) = 2*v**3 - 48*v**2 - 49*v - 21. Determine f(25).
4
Let d(o) = -o - 8. Calculate d(-14).
6
Let m(p) = -p**2 - 16*p + 28. What is m(-17)?
11
Let h(r) = -5*r**2 - 3*r - 1. What is h(-2)?
-15
Let l(p) = -p**3 + 8*p**2 + 13*p - 9. Determine l(9).
27
Let l(t) = 2*t + 14. Calculate l(-7).
0
Let t(m) = -2*m**3 + 6*m**2 + 2*m - 5. Determine t(3).
1
Let j(q) = -q**3 + 44*q**2 - 82*q - 73. Calculate j(42).
11
Let x(g) = 10*g - 17. What is x(2)?
3
Let h(r) = r**3 - 7*r**2 - 9*r - 1. Determine h(8).
-9
Let u(g) = -g**2 - 20*g - 73. What is u(-14)?
11
Let v(h) = -h**2 - 9*h + 9. What is v(-8)?
17
Let l(g) = -2*g**3 + g + 1. Determine l(0).
1
Let n(g) = -g**2 - 10*g - 9. Determine n(-6).
15
Let i(l) = -8*l - 27. Determine i(-10).
53
Let a(n) = 3*n + 24. Determine a(-11).
-9
Let v(b) = -b**2 - 4. Give v(2).
-8
Let n(y) = 7*y + 9. Determine n(-4).
-19
Let u(w) = -w**3 - 14*w**2 + 35*w + 23. Determine u(-16).
-25
Let l(u) = u**3 - 4*u**2 - 7. Calculate l(0).
-7
Let o(u) = 4*u - 5. Give o(6).
19
Let v(l) = l**3 - 2*l**2 - 2*l - 1. What is v(3)?
2
Let h(t) = t**3 + 8*t**2 + 7*t + 8. Determine h(-7).
8
Let u(y) = -2*y + 3. Calculate u(2).
-1
Let q(d) = 10*d - 4. What is q(-6)?
-64
Let w(m) = -m**2 + 16*m + 15. What is w(12)?
63
Let u(l) = -l**3 - 3*l**2 + 16*l + 45. Calculate u(-4).
-3
Let x(q) = -q**3 - 6*q**2 + 8*q + 3. W
|
{
"pile_set_name": "DM Mathematics"
}
|
0497 to the power of 1/2, to the nearest integer?
16589
What is the square root of 57222087 to the nearest integer?
7565
What is the third root of 53064827 to the nearest integer?
376
What is the fifth root of 394265431 to the nearest integer?
52
What is 767418368 to the power of 1/5, to the nearest integer?
60
What is the ninth root of 755180789 to the nearest integer?
10
What is the square root of 8831368 to the nearest integer?
2972
What is 498279145 to the power of 1/10, to the nearest integer?
7
What is 2287251015 to the power of 1/7, to the nearest integer?
22
What is the cube root of 1963167607 to the nearest integer?
1252
What is 32336062 to the power of 1/2, to the nearest integer?
5686
What is 19105424 to the power of 1/6, to the nearest integer?
16
What is 799867398 to the power of 1/2, to the nearest integer?
28282
What is 106813283 to the power of 1/2, to the nearest integer?
10335
What is 64177908 to the power of 1/3, to the nearest integer?
400
What is the square root of 164174709 to the nearest integer?
12813
What is 132769346 to the power of 1/5, to the nearest integer?
42
What is the third root of 264657291 to the nearest integer?
642
What is the square root of 198880183 to the nearest integer?
14102
What is 1692479983 to the power of 1/2, to the nearest integer?
41140
What is the square root of 23239857 to the nearest integer?
4821
What is the sixth root of 151514557 to the nearest integer?
23
What is 48444547 to the power of 1/2, to the nearest integer?
6960
What is the tenth root of 1950063998 to the nearest integer?
8
What is the square root of 234636319 to the nearest integer?
15318
What is the third root of 8140222262 to the nearest integer?
2012
What is the fourth root of 77045248 to the nearest integer?
94
What is 682438114 to the power of 1/2, to the nearest integer?
26124
What is 5211166 to the power of 1/6, to the nearest integer?
13
What is the third root of 570659711 to the nearest integer?
829
What is the square root of 107809678 to the nearest integer?
10383
What is the cube root of 55161669 to the nearest integer?
381
What is the fifth root of 689252132 to the nearest integer?
59
What is 19536904 to the power of 1/8, to the nearest integer?
8
What is 2723688067 to the power of 1/3, to the nearest integer?
1397
What is 66597577 to the power of 1/2, to the nearest integer?
8161
What is the square root of 20561200 to the nearest integer?
4534
What is the cube root of 2641337670 to the nearest integer?
1382
What is the cube root of 26170413 to the nearest integer?
297
What is 819423211 to the power of 1/10, to the nearest integer?
8
What is the fifth root of 21829463 to the nearest integer?
29
What is the third root of 524435844 to the nearest integer?
806
What is the fourth root of 55089142 to the nearest integer?
86
What is 1061163196 to the power of 1/3, to the nearest integer?
1020
What is the fifth root of 1382126129 to the nearest integer?
67
What is 1343892538 to the power of 1/2, to the nearest integer?
36659
What is 146021070 to the power of 1/3, to the nearest integer?
527
What is 1729506975 to the power of 1/2, to the nearest integer?
41587
What is 55276374 to the power of 1/2, to the nearest integer?
7435
What is the third root of 1183307031 to the nearest integer?
1058
What is the square root of 801245358 to the nearest integer?
28306
What is the third root of 318525070 to the nearest integer?
683
What is 7988355 to the power of 1/9, to the nearest integer?
6
What is the sixth root of 442781246 to the nearest integer?
28
What is the ninth root of 5622837729 to the nearest integer?
12
What is 1090836450 to the power of 1/5, to the nearest integer?
64
What is the fourth root of 1160036022 to the nearest integer?
185
What is 26502281 to the power of 1/2, to the nearest integer?
5148
What is the seventh root of 622697347 to the nearest integer?
18
What is 156366956 to the power of 1/2, to the nearest integer?
12505
What is the tenth root of 356074587 to the nearest integer?
7
What is the ninth root of 143107986 to the nearest integer?
8
What is the tenth root of 34327120 to the nearest integer?
6
What is 1888133365 to the power of 1/2, to the nearest integer?
43453
What is the third root of 241290536 to the nearest integer?
623
What is 471477725 to the power of 1/3, to the nearest integer?
778
What is 11291962 to the power of 1/9, to the nearest integer?
6
What is the square root of 218860433 to the nearest integer?
14794
What is 87536567 to the power of 1/3, to the nearest integer?
444
What is 1231024130 to the power of 1/6, to the nearest integer?
33
What is 139016029 to the power of 1/2, to the nearest integer?
11791
What is the square root of 361111595 to the nearest integer?
19003
What is the square root of 730294109 to the nearest integer?
27024
What is the cube root of 1258390564 to the nearest integer?
1080
What is the square root of 470750539 to the nearest integer?
21697
What is 177211929 to the power of 1/2, to the nearest integer?
13312
What is the cube root of 3176033062 to the nearest integer?
1470
What is the square root of 218193290 to the nearest integer?
14771
What is the cube root of 930960725 to the nearest integer?
976
What is 1373559530 to the power of 1/2, to the nearest integer?
37062
What is 44491235 to the power of 1/2, to the nearest integer?
6670
What is the cube root of 2876347102 to the nearest integer?
1422
What is the fourth root of 30820471 to the nearest integer?
75
What is 720815834 to the power of 1/7, to the nearest integer?
18
What is the tenth root of 1269152217 to the nearest integer?
8
What is 200632835 to the power of 1/6, to the nearest integer?
24
What is 8494311 to the power of 1/2, to the nearest integer?
2915
What is 726617840 to the power of 1/3, to the nearest integer?
899
What is the eighth root of 11458116 to the nearest integer?
8
What is the seventh root of 469404 to the nearest integer?
6
What is the ninth root of 356436727 to the nearest integer?
9
What is 2469800705 to the power of 1/2, to the nearest integer?
49697
What is the eighth root of 23480840 to the nearest integer?
8
What is the cube root of 3363722837 to the nearest integer?
1498
What is the fourth root of 28032761 to the nearest integer?
73
What is the fifth root of 65271703 to the nearest integer?
37
What is 78925378 to the power of 1/7, to the nearest integer?
13
What is the cube root of 254015749 to the nearest integer?
633
What is the cube root of 3412916176 to the nearest integer?
1506
What is 31766718 to the power of 1/5, to the nearest integer?
32
What is 40670255 to the power of 1/2, to the nearest integer?
6377
What is the square root of 321541505 to the nearest integer?
17932
What is the third root of 2936615229 to the nearest integer?
1432
What is the fourth root of 654243837 to the nearest integer?
160
What is 814800948 to the power of 1/2, to the nearest integer?
28545
What is 984155127 to the power of 1/2, to the nearest integer?
31371
What is the sixth root of 114722050 to the nearest integer?
22
What is the cube root of 23606427 to the nearest integer?
287
What is the cube root of 2491726039 to the nearest integer?
1356
What is the square root of 3814413 to the nearest integer?
1953
What is 252024934 to the power of 1/8, to the nearest integer?
11
What is the tenth root of 52030166 to the nearest integer?
6
What is 107776146 to the power of 1/3, to the nearest integer?
476
What is 363727679 to the power of 1/2, to the nearest integer?
19072
What is 24083578 to the power of 1/2, to the nearest integer?
4908
What is 524790439 to the power of 1/4, to the nearest integer?
151
What is the ninth root of 942923771 to the nearest integer?
10
What is the third root of 331296685 to the nearest integer?
692
What is the cube root of 11829642 to the nearest integer?
228
What is the cube root of 111141535 to the nearest integer?
481
What is the cube root of 1570179202 to the nearest integer?
1162
What is 2665912028 to the power of 1/4, to the nearest integer?
227
What is 128428006 to the power of 1/3, to the nearest integer?
505
What is 49263875 to the power of 1/7, to the nearest integer?
13
What is the fifth root of 344106983 to the nearest integer?
51
What is 231233841 to the po
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -5*o + 5*s - 90 = -325, 143 = 3*o - g*s. Calculate the remainder when o is divided by 23.
22
Suppose -j + 339 = 2*j. Let f = j - 70. Calculate the remainder when f is divided by 11.
10
Suppose -2*g - 1 = 3*k - 5, 0 = -g - 3*k + 2. Suppose -3*u - g*u = -3*v - 31, 4*v + 28 = 5*u. Calculate the remainder when u is divided by 3.
2
Suppose 5*p - 22 = -y, 2*y - y + 2*p = 13. Let x = y - 1. Calculate the remainder when x is divided by 2.
0
Let t be (-4)/(12/(-1))*15. Suppose -5*v - t*m + 11 = -14, -3*m = -3*v + 15. Calculate the remainder when 8 is divided by v.
3
Suppose -3*h - u - 16 = 0, -4*u = 5*h - 3*u + 30. Suppose 5*l + 39 = 3*f, -4*f + l + 52 = 3*l. What is the remainder when f is divided by (-1)/1*1*h?
6
Let u(z) = -2*z**3 - 5*z**2 - 3*z. Let t be u(-4). Suppose -3*g + 4*x + 31 = 8*x, 4*x + t = 4*g. Calculate the remainder when 38 is divided by g.
12
Let u = 53 + -43. Calculate the remainder when 39 is divided by u.
9
Let z = -12 - -15. Suppose 2*p = -z*a + 36, a - 3*a - 41 = -3*p. What is the remainder when 44 is divided by p?
14
Let g = -7 + 20. What is the remainder when 25 is divided by g?
12
Let n(d) = -d**2 - 7*d - 6. Let u be n(-7). Let t be ((-14)/u)/((-3)/(-9)). Suppose -i = -t + 1. Calculate the remainder when 16 is divided by i.
4
Let j(p) = -p**2 + 2. Let y(m) = -m + 7. Let k be y(7). Let o be j(k). Let v = o - -2. Calculate the remainder when 10 is divided by v.
2
Let q = -43 + 46. Suppose -12 = -4*s, -13 - 9 = -5*g - 4*s. Calculate the remainder when q is divided by g.
1
Calculate the remainder when 11 is divided by 1*(3 + -2) - -8.
2
Suppose -5*j = -12*j + 28. What is the remainder when 13 is divided by j?
1
What is the remainder when 46 is divided by (-15 + -2)*(-4)/8*2?
12
Let o(z) = 6*z + 5. Let b(y) = -y - 1. Let f(i) = 34*b(i) + 6*o(i). What is the remainder when 20 is divided by f(6)?
4
Let i = 1 + 1. Let l be 1/2 + (-18)/(-4). Suppose -3*y + 3*a = -15, -a - 18 = -l*y - 3*a. What is the remainder when y is divided by i?
0
Let q = 5 - -1. Let d = q + -1. Calculate the remainder when 17 is divided by d.
2
Let m(z) = 48*z**2 + z + 2. Let x be m(-2). Suppose -5*i + x = -i. What is the remainder when 6 is divided by 6/(-4)*i/(-18)?
2
Suppose -4*y - 288 = -4*q, 4*y = 2*y + 4. Suppose -4*z + q - 22 = 0. Let v = -75 + 112. Calculate the remainder when v is divided by z.
11
Let c(v) = v**3 + 7*v**2 + 6*v + 8. Calculate the remainder when 126 is divided by c(-4).
30
Suppose -5*z - 2*v = -10*z + 128, 2*z = v + 51. Calculate the remainder when z is divided by 9.
8
Let w = 7 - 6. Calculate the remainder when 18 is divided by w*(8/(-4) - -9).
4
Let m(q) = 15*q**2 - 22*q + 5. What is the remainder when m(4) is divided by 40?
37
Let j = 40 - 18. Let r be ((-7)/(-14))/((-1)/(-6)). Suppose r*s - 4*f = 36, -s + 2*f = s - 22. Calculate the remainder when j is divided by s.
6
Let v be 6*1*100/6. Suppose 0 = 4*k + 12 + v. Calculate the remainder when 31 is divided by 2/7 - 300/k.
9
Let f(o) = -6*o**2 - 6*o + 5. Let n be f(3). Suppose -i - 33 = 3. Let u = i - n. Calculate the remainder when u is divided by 16.
15
Let u(m) = m**2 - 6*m - 22. What is the remainder when 68 is divided by u(10)?
14
Suppose -4*v - 1 = -2*k - 9*v, -29 = -3*k - 2*v. Calculate the remainder when k is divided by (-3)/6*-4 - -3.
3
Suppose k - 5 = -0*k. Suppose z = 5*q + 2*z - 6, 10 = -k*q - 5*z. What is the remainder when q is divided by 1?
0
Let n(z) = 5*z**2 + 2*z + 2 + 0 - z**3 - 4*z**2. Let w(i) = 7*i**2 - i + 3. What is the remainder when w(2) is divided by n(-2)?
9
Suppose 2 = -4*l + 70. Calculate the remainder when 63 is divided by l.
12
What is the remainder when 13/((-3)/(-18)*(-5 + 7)) is divided by (-5)/((3/(-2))/3)?
9
Let o = 0 + 53. Calculate the remainder when o is divided by (-3)/(-2)*(4 - -14).
26
Suppose -l + 182 + 42 = 5*b, -5*b - 5*l + 220 = 0. Calculate the remainder when b is divided by 16.
13
Suppose 0*h = -h + 9. Let z = h + -6. Suppose 8 = z*k - 28. What is the remainder when 34 is divided by k?
10
Let w = -20 + 32. Calculate the remainder when w is divided by 3.
0
Let k = 32 + 72. Suppose k = 2*l + 2*l. What is the remainder when l is divided by 14?
12
Suppose 3*f = -4*v + 26, -4*f + 16 = -5*v + 2. What is the remainder when 6 is divided by f?
0
Let i(x) = x**3 + 11*x**2 - x - 9. Let z be i(-11). Suppose -19 = -z*g - 7. Calculate the remainder when ((-2)/(-4))/(2/68) is divided by g.
5
Let u be (-3)/15 + (-348)/10. Calculate the remainder when 49 is divided by -5*1*119/u.
15
Let a(n) = -n**2 - 6*n + 15. Let u(h) = -h**3 + 6*h**2 + 4*h - 6. Suppose -2*g + 4 = s, -s - 5*g = s - 8. What is the remainder when u(s) is divided by a(-6)?
12
Suppose r - 2*r + 17 = 0. Suppose 0 = -9*w - 10*w + 1235. Calculate the remainder when w is divided by r.
14
Suppose 0 = 8*a - 740 + 108. Calculate the remainder when a is divided by (-10)/(6/4 + -2).
19
Let y = 62 - 37. What is the remainder when 73 is divided by y?
23
Let k be 10/35 - 976/(-14). Let o = k - 49. Calculate the remainder when 41 is divided by o.
20
Suppose 5*g - g = 0. Calculate the remainder when (-1)/(g + 1/(-5)) is divided by 4.
1
Suppose -3*y - 2*y - 110 = 0. Let k be y/(-4) - 9/6. Let l(n) = n - 3. What is the remainder when 2 is divided by l(k)?
0
Let q(w) = w**2 - 3*w - 3. What is the remainder when 27 is divided by q(5)?
6
Suppose 2*d - 21 = 1. Let k(n) = 9*n - 49. Calculate the remainder when k(9) is divided by d.
10
Let a = -5 - -10. Let t(g) = g**3 + 8*g**2 + 6*g - 4. Let u be t(-7). Suppose u*k - a*k + 54 = 0. What is the remainder when k is divided by 14?
13
Suppose 0 = -k - 2*c - 2*c - 20, -k = -c + 40. Suppose 0 = 2*m - 0*m - 108. Let u = m + k. What is the remainder when u is divided by 10?
8
Let r(k) = -3*k. Let v be r(-1). Suppose 0 = -v*x - 5*a + 17, -4*a + 0 = -16. What is the remainder when (3/((-3)/13))/x is divided by 7?
6
Let d be (1 - -59)*6/(-12). Let g be 20/(-1)*d/24. Suppose 4*v + v = g. What is the remainder when 7 is divided by v?
2
Let i = -1 - 1. Calculate the remainder when (-3)/12*2*-26 is divided by (i - -1) + 2*4.
6
Let c = 49 + -36. Calculate the remainder when c is divided by 3.
1
Calculate the remainder when 12 + -10 + 125*1 is divided by 26.
23
Suppose -y - y = -4, 3*r - 59 = 5*y. Suppose 91 - 22 = 3*l. Calculate the remainder when r is divided by 2/8 + l/4.
5
What is the remainder when 104 is divided by (-1 + 2 + 1)*(-275)/(-10)?
49
What is the remainder when 62 + -2*9/6 is divided by 30?
29
Let v(q) = -q**3 - 8*q**2 - 7*q + 8. What is the remainder when v(-7) is divided by 6?
2
Suppose -40 = b - 2*b. Calculate the remainder when 79 is divided by b.
39
Let v(t) = -7*t**2 + 2*t + 15. Let n(d) = -3*d**2 + d + 7. Let r(u) = 13*n(u) - 6*v(u). What is the remainder when r(-3) is divided by 13?
12
Suppose 580 = 4*y + 4*t - t, 0 = -4*y + t + 580. Suppose 0 = -5*j + 520 - y. Calculate the remainder when j is divided by 19.
18
Let w(y) = y**2 - 6*y - 5. Let j = 1 + 6. Calculate the remainder when 6 is divided by w(j).
0
What is the remainder when 6 is divided by 0/2 - (-4 + 0)?
2
Suppose 6*u + 90 = 5*k + u, 92 = 5*k - 3*u. Calculate the remainder when 54 is divided by k.
16
Let t(j) = j**2 - 13. Suppose 2*v - v + 8 = -3*p, -p = 4*v - 12. Calculate the remainder when v is divided by t(4).
1
Suppose 0*r - 8 = -2*r, 2*h - 2*r = 2. Let k(m) = h*m + 1 - 3*m + m - 4. What is the remainder when 25 is divided by k(4)?
7
Let r = 121 - 68. Suppose 0 = y - 0*y - r. What is the remainder when y is divided by 27?
26
Let c = -2 - -5. Suppose -c*s - 6 = -5*s. Suppose s*a - 7*a = -12. Calculate the remainder when 8 is divided by a.
2
Let r = 14 + 13. Let j = r - 10. What is the remainder when j is divided by 5?
2
Let f = -48 + 73. Let y = -26 - -39. What is the remainder when f is divided by y?
12
Calculate the remainder when -2 - -35 - (1 - -3)/(-1) is divided by 16.
5
Let d(l) = -25*l - 1. Let c be d(-2). Suppose 0*v - v = 5*q - c, -2 = 2*v. What is the remainder when q is divided by 6?
4
Let a(r) = 5*r - 3. Let l = 5 + -9. What is the remainder when a(3) is divided by (-30)/l + (-5)/10?
5
Suppose 4*i + 9 = t + 2*t, 0 = 3*t + 3*i - 9. Suppose 0 = 5*o + 3*n - 87, 2*o + 2*o = t*n + 48. Calculate the remainder when 73 is divided by o.
13
Calculate the remainder when 28 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
(m) = -1059*m - 6419. Let r be w(-6). Which is bigger: r or f?
f
Let a = -39341/4 - -9754. Are a and -82 equal?
False
Suppose -113 = a - 3*c + 2*c, 545 = -5*a + c. Let x = a - -99. Let o be 3 - ((-131)/x)/((-145)/(-30)). Is 1 > o?
True
Let r be (40/32 + 1)*4. Let g(z) be the second derivative of -z**3/6 + 5*z**2/2 + z. Let a be g(r). Which is bigger: a or -2?
-2
Let a = -7.37 - 47.63. Let l = a - -70. Are 5 and l nonequal?
True
Suppose -2129*g - 13 = -2130*g. Which is smaller: g or 25?
g
Let c = 28563869/681 + -41944. Which is smaller: c or 1?
c
Let o = -2/2207 + 8902/81659. Let f = o + 1/333. Which is smaller: f or 1?
f
Let n be 120/(-16) + 1/2. Let t(u) = 2*u**2 - 41*u + 14. Let x(b) = -b**2 + 17*b - 7. Let r(a) = -2*t(a) - 5*x(a). Let d be r(n). Is 77 less than d?
False
Let n = 0.02957 + 0.97043. Which is bigger: n or -2124?
n
Let y(o) = -6*o**2 + 9*o - 25. Let w be y(5). Let m = w + 70. Which is smaller: -61 or m?
-61
Suppose 0*h + 2*h = 4*q - 14, 0 = 2*q - 6. Let u = -726946/4837 - -1052/7. Which is bigger: h or u?
u
Suppose 0 = 5*l - 23 - 37. Suppose -2*v + 4*v = l. Let b be (2/v)/((-8)/48). Is b != 3?
True
Suppose 3*p - 327*i = -326*i + 22, -5*i - 25 = 2*p. Is -23 < p?
True
Let q be 2/6*82/23821. Let h = 4733/1743 - q. Are 2 and h non-equal?
True
Let l = 2/1629 - 11437/27693. Which is bigger: l or -3/11?
-3/11
Suppose 4*n = 4*p + 13 + 47, -4*p + 57 = 5*n. Let l = 2.96 + -3.2. Let u = l - -1.24. Which is smaller: u or n?
u
Let w = -14 + 13.2. Let q = 0.8 + w. Suppose 3*k - 54 = -174. Is q > k?
True
Let u = 701/14 + -1395/28. Which is greater: u or 0.04004?
u
Let r(l) = 6*l**2 - 9*l + 1. Let t be r(-4). Suppose -t = -12*d + 95. Is d greater than 20?
False
Let n = 44 + -26. Let o be (-2)/(-38) + 341/19. Is o at least n?
True
Suppose -24 = -7*c - 5*c. Suppose -c*r + 17 + 69 = 0. Let a be (-9)/(-1 - (-44)/56). Which is smaller: a or r?
a
Let y = -2955 - -3462. Is 508 at most as big as y?
False
Let a(r) = -4*r + 22. Let d be a(6). Let s be 6 + (-8 - -4) + d. Suppose -o + s = -8. Which is smaller: o or 3?
3
Suppose -280600 = -212*a - 32*a. Are a and 1144 unequal?
True
Suppose -71*f - 4*c - 88352 = -75*f, 4*f = 5*c + 88347. Is 22094 at most as big as f?
False
Let k be (0 + -2)/(12/24). Let p = 3286 + -13141/4. Which is bigger: p or k?
p
Suppose l + 2*q + 14 = -4*l, -q = -4*l - 6. Let a(n) = n**3 + 6*n**2 + 6*n. Let o be a(-7). Let b be (20/(-6))/(o/(-21)). Which is greater: b or l?
b
Let r be 0 + (-4*2/(-4) - (-8442)/28). Is r at most as big as 304?
True
Let g be -2 + 4/(-2) + -57. Let y(c) be the second derivative of -c**4/4 - 7*c**3/6 + 2*c**2 + 7*c. Let r be y(-6). Is r less than or equal to g?
True
Let i = 29 - -76. Let g be (i/(-16))/(5 + (-152)/32). Are g and -27 equal?
False
Let w = -497360 - -460057948/925. Let u = 32/11 + -1096/407. Let q = u + w. Is q less than 0?
False
Let p(v) = 54*v**3 - 1. Let o be p(-1). Suppose 133*q + 9757 = 2708. Is o not equal to q?
True
Suppose 0 = g - 8*g - 7. Let m = 6170/7 - 4522596/5131. Is g < m?
True
Let y = -3.455 - 19.535. Let d = 24 + y. Is 2/3 greater than or equal to d?
False
Let s = -21.245 - -7.845. Is s greater than -2/39?
False
Let z(a) = 28*a**2 + 714*a + 5034. Let k be z(-7). Which is smaller: 5637/4 or k?
k
Let z be 731360/(-1340746) + (-612)/(-1122). Is 1 <= z?
False
Let a = -42.22 + 42.62. Which is bigger: a or 244?
244
Let d = 94 - 249. Let f = -158 - d. Which is smaller: f or -51?
-51
Let h be (165/39 - 4)/((-1299)/(-3)). Is h at least as big as 1?
False
Let d(g) = g**3 + 12*g**2 + 9*g + 26. Suppose -5*z - 64 = -3*y, -63 = 5*z - 2*y - 2. Let l be d(z). Is l bigger than -2/7?
True
Let m be (-15)/8 - (4 - (-31)/(-8)). Let r be (-2 - -1) + (-25 - m/2). Let b be (-10)/((-6)/15*-1). Is r at most as big as b?
True
Suppose -5*o - 25 = -5*y, 0*y + 3*y + o - 15 = 0. Suppose 3*t + 1 = i, y*i + 17*t - 16*t = 21. Which is greater: i or -1/2?
i
Suppose 4*s = 2*g - 4 + 22, -5*s - 4*g + 16 = 0. Let r be (-8 + 8)/(-1 + 2). Suppose r = 2*j - s*o - 20, -25 = 2*j + 2*o + 3*o. Which is bigger: -2 or j?
j
Let y = -11.838 - -7.07. Let b = y + -0.232. Which is bigger: b or 0.3?
0.3
Let o(l) = -2*l**3 + 18*l - 127 + l**3 + 114 - 62*l + 31*l**2 - 64. Let p be o(30). Which is smaller: -498 or p?
-498
Suppose -285 = -24*w + 4131. Are w and 153 nonequal?
True
Let n = -547 + 256. Let d be 1 + 19*15/n. Let s = 58929.9 + -58930. Which is greater: s or d?
d
Let g = -51998 - -8059828/155. Which is greater: g or 1?
1
Suppose 0 = -3*j + 5601 - 17805. Let w be (-2 - j/56)*-4. Let z = w - -283. Which is bigger: -1 or z?
z
Let u be ((-84)/(-7693))/(98/343). Let f be 2 - ((-1 - 1) + 4). Which is smaller: f or u?
f
Let o = -0.9244 + 0.3474. Which is smaller: -5/7 or o?
-5/7
Let b = 291 - 184. Let x(o) = -o**2 + 34*o - 61. Let q be x(28). Let s be 8*(-6)/(-48) + q. Is b less than or equal to s?
True
Let g(i) = -6*i**3 + 2*i + 2. Let l be g(-1). Suppose l*f + 2 = 4*f. Which is greater: 7/58 or f?
7/58
Suppose 4*f = 7*f. Let u(r) = -r + 2. Let b be u(5). Let x be -2 + 1 - (b + 1680/846). Is f at least as big as x?
False
Let k = -2/4977 - 13393097/24885. Let d = k - -550. Let t be (504/294)/(1/7). Is t bigger than d?
True
Let k(y) = -y**2 - 15*y - 29. Let w be k(-11). Let o be 50/w*(-3 - (-189)/15). Does 7 = o?
False
Let q = 7 - -1. Suppose -q*r = -5*r. Suppose -15 = -r*h + 3*h. Which is bigger: -1/5 or h?
-1/5
Suppose -2*t = -2*g - 2788, -10409 + 3376 = -5*t - 2*g. Which is bigger: t or 1397?
t
Let v = -2984 + 2986. Let c = -1.08 - 0.22. Which is smaller: v or c?
c
Let l = 244.86 + -249. Let o = l + 3.94. Which is smaller: 3/7 or o?
o
Let i be (((-319)/(-2813))/11)/(7/2). Let f(v) = v**3 + 4*v**2 + v + 5. Let c be f(-4). Is i greater than or equal to c?
False
Suppose -106*g + 9548 = 34*g - 16*g. Is g bigger than 605/8?
True
Suppose 0 = -156*n - 104*n. Are n and -3/5246 unequal?
True
Let f(b) = b**3 - b - 9. Let m be f(0). Let c be 11/(-22)*1490/45 + 9. Is m at least c?
False
Let w = 4033/120 - 836/15. Do w and -2/5 have the same value?
False
Suppose 55 = -4*x + 5*h - 46, 91 = -4*x + 3*h. Let f(r) = 28*r + 159. Let b be f(x). Which is smaller: b or -372?
b
Let h be (-4)/26 + (-3465)/(-27846). Let w(n) = n + 4. Let y be w(-7). Let d = 2 + y. Which is smaller: d or h?
d
Let y be 48/9 + 1 + (-3)/9. Let c(r) = -14*r + 85. Let p be c(y). Is p >= 2/29?
True
Let j(t) = t**2 + 5*t - 5. Let c be j(-6). Let b = 382 + -28265/74. Is b at least c?
False
Let h(g) be the second derivative of -g**4/12 + g**3/2 + 7*g**2/2 + 3*g. Let j be h(4). Let w = j + -7/2. Is 4 equal to w?
False
Let g = 23922 - 23926. Which is bigger: -346/89 or g?
-346/89
Let r be ((6/534)/((-24)/(-6)))/1. Let m = 200/89 + r. Which is bigger: 2 or m?
m
Let x = 39.2 + -38. Let p = x - -18.8. Let z = p - 27. Which is smaller: -0.4 or z?
z
Let v(z) = 45*z - 2115. Let y be v(47). Let l be (4/(-152))/((-1)/(-4)). Which is greater: y or l?
y
Let t = 2545 - 3995. Is -1452 < t?
True
Let t(f) = -3*f + 8. Let h(y) = -y - 1. Let q be h(-6). Let m be t(q). Let u = -1120 + 1113. Is m less than u?
False
Let i = 4735 + -5216. Is -0.2 greater than or equal to i?
True
Let g = 17 + -1086. Let h = 82311/77 + g. Is h equal to -1?
False
Let v = -44/3255 + 330089/24659880. Which is bigger: 0 or v?
0
Suppose -8 = 2*t, -24*x - 2*t = -20*x + 1944. Is x greater than -482?
False
Let s = 30163201 - 3770423989/125. Let p = -479176/1125 - s. Let i = p + 235. Is 1 <= i?
False
Let s be ((-558)/(-124) + (-2)/4)*(0 - 1). Which is bigger: s or -1.14?
-1.14
Let j = -8 + 7.97. Let a = -135.36 - -135.5. Let t = j - a. Which is smaller: 2 or t?
t
Let y = -13 - -12.4. Let w = 65.4 - y. Let p = 65.8 - w. Which is greater: p or 16?
16
Let l(i) = i**2 + 17*i - 308. Let y be l(11). Which is bigger: -3/196 or y?
y
Let g be 4/(226628/(-176491)) - (-24 - -21). Let l = -2/1069 - g. Is l greater than -1?
True
Let q be -1*3 + (-1)/((-4)/12). Suppose q = 5*f + 4*i - 22, -2*f - f + 21 = 5*i. Let w be 10/(-4) + f/(-4). Is -5 at least w?
False
Suppose -h = -15 + 101. Let x = h + 150. Suppose -o + 81 = x. Which is greater: o or 0.1?
o
Suppose -4110 = 856*w - 826*w. Is -142 at most as big as w?
True
Let r = -27 + 27.32. Let z = r + 0.21. Let j = 0.63 - z. Which is smaller: j or -0.3?
-0.3
Let j be ((-792)/(-352))/(1/360). I
|
{
"pile_set_name": "DM Mathematics"
}
|
d j.
1
Let q = -60 - -84. Calculate the greatest common factor of 6 and q.
6
Let q be (149 - 9) + 3*1. Calculate the highest common divisor of 13 and q.
13
Suppose 2 = 2*m - 22. Suppose 0 = 2*p - 16 - m. Calculate the highest common divisor of 2 and p.
2
Suppose 0*c = 2*c - 16. Suppose 4*p - c = 8*p. Let i(q) = q**3 + 4*q**2 + 2. Let m be i(p). Calculate the highest common factor of m and 5.
5
Let z = 26 - 11. Suppose -8*f = -10*f + 270. What is the highest common factor of z and f?
15
Suppose 675 = -7*j + 2*j. Let b be 10/(-3)*j/6. What is the highest common divisor of 30 and b?
15
Let j = -11 - -5. Let p(w) = 3*w**2 + 10*w + 7. Let m be p(j). Let l be (2 - -2) + -2 - -20. What is the greatest common factor of l and m?
11
Let f = 4 + 0. Suppose -3*h = b - f, 5*h = -6*b + b. Let i be (1/h)/(1/6). What is the greatest common factor of i and 6?
3
Let m(c) = -12*c + 2. Let t(r) = 13*r - 2. Let k(u) = -4*m(u) - 3*t(u). Let y be k(2). Calculate the greatest common divisor of 144 and y.
16
Suppose -45*x = -47*x + 24. Calculate the highest common factor of 36 and x.
12
Suppose 224 = 3*f + f. Let d(b) = b - 8. Let o(a) = 2*a - 17. Let w(j) = 11*d(j) - 6*o(j). Let k be w(6). What is the greatest common factor of f and k?
8
Let g be (9/(-2))/(45/(-120)). What is the greatest common factor of g and 8?
4
Let r be (-3)/(18/(-3) + 3). What is the greatest common divisor of r and 9?
1
Let z be (9 - -5) + (-4)/(-2). Suppose -15 = 3*l, -4*j = -4*l - 12 - z. Suppose -j*x + 80 = -x. What is the highest common divisor of 32 and x?
16
Let y(z) = -3*z - 7. Let b be y(-7). Let k(q) = -4*q + 8. Let o be k(-5). Calculate the highest common divisor of o and b.
14
Let j(h) = h + 6. Let b be j(0). Let i be 9/b*(-2 + 30). What is the greatest common factor of i and 6?
6
Suppose -5*c + 26 = -24. Calculate the greatest common divisor of c and 110.
10
Let r = -29 + 43. Calculate the greatest common divisor of r and 98.
14
Let h be -15*1*1*-1. Let r be (-1 - (-318)/(-12))*-6. What is the greatest common factor of h and r?
15
Let r be (-4)/5 + 6856/20. What is the greatest common factor of 38 and r?
38
Suppose s = 5*s - 8. Suppose s*m + 2*m = 20. What is the highest common factor of m and 15?
5
Suppose -32 = 2*k + 4. Let m = 31 + k. Let z = 55 + -29. Calculate the highest common divisor of z and m.
13
Let a be (-3)/9 - (-238)/(-6). Let x = 2 - a. Calculate the greatest common factor of 14 and x.
14
Suppose -r + 699 + 1269 = 0. Let l be (-2)/7 + r/28. Suppose -4*j = -2*y - 32 - l, -5*y + 25 = 0. What is the highest common divisor of j and 7?
7
Let w be 3 - -1 - (2 - 2). Suppose -w*b = 5*n - 29, 0 = -5*b - n + 4*n - 10. What is the highest common factor of 2 and b?
1
Suppose 0*j - j = c - 11, -4*c = 5*j - 56. Calculate the highest common divisor of j and 108.
12
Suppose 0 = -5*f + 460 - 2175. Let i be ((-4)/3)/(12/(-18)). Let c be f/(-21) + i/(-6). What is the highest common divisor of 4 and c?
4
Let n = -7 + 9. Suppose 0 = w + n*w - 72. Calculate the greatest common factor of 16 and w.
8
Let w = 1 - -54. Calculate the highest common factor of 11 and w.
11
Suppose j = -3*v - 67, 10*j + 375 = 5*j + 5*v. Let w = j - -157. Calculate the highest common factor of 12 and w.
12
Let r be -15 - (-1 + -1) - -2. Let h = 19 - r. What is the highest common divisor of h and 30?
30
Let p = 10 - 6. Suppose 2*j + 54 = p*j. Calculate the highest common divisor of 18 and j.
9
Suppose 0 = 3*u - 2*n - 28, 3*u - 52 = -2*n - 2*n. Calculate the greatest common factor of u and 84.
12
Let h = 115 + -58. Suppose 0 = 5*p + 3*v - 59 + 226, 5*p + v + 169 = 0. Let q = p + h. What is the highest common divisor of q and 23?
23
Let j(x) = -x**3 + 6*x**2 + 7*x + 2. Let n be j(7). Suppose -n*f + 4 = -2*b, b + 4*f - 24 = -3*b. What is the greatest common factor of b and 1?
1
Suppose 10*z = 5*z + 65. Let x = -11 + z. What is the highest common divisor of 3 and x?
1
Suppose c = -3*k + 5, -4*k + 20 = 4*c - 8. Suppose 3*x = -36 + 228. Calculate the highest common divisor of x and c.
8
Suppose -b + 14*b - 39 = 0. Calculate the greatest common factor of b and 3.
3
Let d(m) = -6*m + 13. Let k be d(-12). Calculate the greatest common factor of 17 and k.
17
Suppose z = f - 22, 4*f - z + 12 = 5*f. Let b(l) = -4*l + 2*l + 34 + l. Let y be b(0). Calculate the highest common factor of f and y.
17
Suppose -13 = f + 17. Let w be 5/(f/(-104))*3. What is the highest common divisor of w and 13?
13
Suppose r - 4*r = -321. Let c = r + -68. Let a = c - 21. What is the highest common factor of 9 and a?
9
Let m(i) = -i - 1. Let k be m(-3). Let w(s) = 39*s + 2. Let h be w(k). Suppose -f - 3*f = -h. Calculate the highest common divisor of 160 and f.
20
Let w(p) = -p**2 + 5*p - 2. Let b be w(4). Suppose d = 3*u - 7*u - 14, 2*d + 2*u + 4 = 0. What is the greatest common divisor of d and b?
2
Let n be -15*(-2 - (-4)/4). What is the highest common factor of 60 and n?
15
Let p(k) = -6*k**2 - 7*k + 5. Let m be p(5). Let o = -96 - m. Calculate the highest common factor of o and 12.
12
Let t(a) = 2*a**2 + 5*a + 1. Let z = 2 - 6. Let u be t(z). Calculate the highest common factor of 13 and u.
13
Let t(v) = v**2 - 4*v + 1. Let j be t(5). Let y = j - -4. What is the greatest common factor of y and 30?
10
Let s be (3 - 561)*(-7)/14. Calculate the greatest common divisor of s and 9.
9
Suppose -2*x + 746 = -0*x. Let h = x + -256. Calculate the highest common divisor of h and 13.
13
Suppose 3*l = 4*l - 27. Suppose 47 = 5*w + m, 0*w + 3*w = -4*m + 35. What is the greatest common divisor of l and w?
9
Let l be (4 - 2)*3/2. Suppose 5*c - 10 = 5. Calculate the greatest common divisor of c and l.
3
Let m = 21 - 9. Let l(p) = p**3 - p**2 - 2*p + 2. Let d be l(3). Suppose -3*h + d = -58. What is the highest common divisor of m and h?
12
Let m(t) be the first derivative of t**3/3 - t**2 + 2*t - 7. Let c be m(-7). Calculate the greatest common factor of 13 and c.
13
Suppose 5*o - 3*q - 28 = 0, 3*q = 3*o + q - 17. Suppose 0 = 7*z - 3*z + x - 196, 0 = -o*z - 5*x + 260. What is the highest common factor of z and 32?
16
Suppose -2*j = 3*j - 480. Suppose -179 - j = 5*o. Let b be (-10)/o - 1208/(-11). Calculate the greatest common divisor of b and 10.
10
Let d be (96/160)/(2/210). Calculate the highest common factor of 21 and d.
21
Suppose 0 = 5*m + 2 - 17. Suppose m*s - 9 = -0*s. Calculate the greatest common factor of s and 15.
3
Let m(h) = 38*h - 8. Let d be m(4). What is the greatest common factor of d and 16?
16
Let n = 5 - -6. Let f(h) be the second derivative of h**4/12 - 2*h**3/3 - 6*h**2 - 4*h. Let p be f(9). What is the highest common divisor of p and n?
11
Let f(b) = b**2 - b + 7. Let p be f(7). What is the highest common factor of 7 and p?
7
Let t(j) = j + 2. Let f be t(-1). What is the highest common divisor of 5 and f?
1
Let c(f) = 13*f + 3. Let k be c(6). What is the highest common divisor of 9 and k?
9
Let g be 1/(-2) + 1/(-2). Let r = g + 3. Let q be 1/(3/72) + -2. What is the greatest common factor of r and q?
2
Suppose 2*s - 134 = -0*s. Let t = 5 + s. Calculate the greatest common factor of 24 and t.
24
Let x = -6 + 16. Let f(c) = c**3 + 5*c**2 + 5*c + 5. Let d be f(-4). Suppose -d = -3*t + 5. Calculate the highest common factor of t and x.
2
Let t(u) = -34*u. Let l be t(-9). What is the greatest common divisor of l and 34?
34
Let t = -5 + 39. What is the highest common factor of t and 34?
34
Suppose 0*j - 1 = j. Let b(n) = 31*n**2 + n. Let k be b(j). What is the highest common factor of 12 and k?
6
Suppose q + q = -4*d + 32, -2*q = 0. What is the highest common divisor of d and 2?
2
Let a = -13 - 6. Suppose 4*q = -0*z + 5*z - 196, -3*q = z + 147. Let b = a - q. What is the highest common divisor of 10 and b?
10
Suppose -3*f + 9 = 0, -5*r - 2*f + 0*f + 106 = 0. Calculate the highest common factor of 50 and r.
10
Suppose 2*l = -2 + 38. Let q = -14 - -26. Calculate the greatest common factor of l and q.
6
Let g(v) = v - 21. Let d be g(0). Let p = -10 - d. Suppose -2*r + 0*r + 176 = 0. What is the greatest common divisor of r and p?
11
Let g be ((-54)/36)/(6/(-136)). What is the highest common divisor of g and 85?
17
Let k(n) = 4*n + 2. Let t be k(5). Calculate the highest common divisor of 2 and t.
2
Let g = 29 - 17. What is the highest common fac
|
{
"pile_set_name": "DM Mathematics"
}
|
-54
39
Evaluate 8 + -2 - 13 - (269 - 289).
13
3 + -2 + -14 + -16 + 31 - 5
-3
What is the value of -2 + -13 + 1 + 60 + (-27 - -84) + -15?
88
What is the value of (-44 - (-70 - 13)) + 27?
66
Calculate 2 + -25 - (976 - 946).
-53
Evaluate (-169 - -35) + 27 - (17 - 19).
-105
What is (140 + -62 - (-2 - -13)) + 41?
108
Evaluate -5 + -7 + (-19 - -20) + -19.
-30
Evaluate 18 - 9 - -18 - 67.
-40
Calculate 22 - (26 + (-21 - -3) - -36).
-22
What is the value of (-12 - (67 - 66)) + -28?
-41
410 + -467 - (-2 + (2 - 1) + 17 + -16)
-57
(-3 - -12) + 1 - (-57 + 0 + 7 + -4)
64
(26 - -1) + -35 + 11 + 32
35
Evaluate (-19 + 3 - -17 - 44) + 2 + 3.
-38
What is (28 - 57 - -62) + -2?
31
(199 - 137) + -106 + -13
-57
Calculate -8 - (2 + 15 - 2 - (2 - (47 - 37))).
-31
Calculate 49 - 131 - -215 - 97.
36
What is the value of 467 - 470 - (61 + 3)?
-67
What is the value of 9 + -26 + (122 - 90)?
15
-34 - (2 - (-61 + 33))
-64
What is -111 - (18 + 15 + -55)?
-89
Evaluate (-10 - 87 - -134) + -15.
22
Evaluate -62 - -139 - 50 - -57.
84
Evaluate 11 - (-8 - -1 - 48) - ((-2 - 2) + 3).
67
Evaluate 97 - ((0 + -7 - 12) + -2 - -25).
93
What is (35 - (102 + -50)) + 22?
5
Evaluate 30 - -12 - (1 + 4 + -9 + 17).
29
Calculate -10 - ((-61 - 1) + -1 + -5 + 1 + -5).
62
-963 - -939 - (-35 + 1) - (3 + -71)
78
What is (1 - 30) + (1010 - 940)?
41
32 + 11 - (-1 + (17 - 1 - (-19 + 24)))
33
Evaluate (-185 - -189) + (8 + -10 - -7 - (-56 - 1)).
66
What is -13 - (1 + -6 - (23 - 24)) - -52?
43
What is -6 + -12 + (45 - 27 - 10)?
-10
Calculate -27 + (16 - 36) - -44.
-3
Evaluate (-31 - (-7 + -52 + 8)) + -19.
1
Evaluate -1 - (-91 + (14 + (-19 + 9 - -2) - 16)).
100
Calculate 53 - (228 - 120) - 0.
-55
What is 50 + 23 + -63 - (59 + -8 - 4)?
-37
Evaluate 46 + (26 - 96) - (-13 - (1 - -3)).
-7
What is the value of 26 - (4 + (0 - 0) + (-41 - (-28 - 11)))?
24
(30 + (-3 - 4) - 31) + 56
48
Calculate 3 + (-1 - (-4 - 0)) - (2765 - 2779).
20
What is the value of 7 + -25 + 2 - (240 - 194)?
-62
What is -18 - (22 + 21 + -25)?
-36
-19 + (-5 - (42 + -54))
-12
Evaluate (-2 - -26 - (227 + -212) - 9) + -52.
-52
Calculate -8 + (10 - (-3 - -7)) + 3 + 45.
46
Calculate (6 + 2 - (23 - (-1 - (-11 + 4)))) + 23.
14
What is the value of -17 - (15 + -45 + 73)?
-60
What is 32 + -4 - 1 - 13 - (67 - 81)?
28
Evaluate (47 - -41) + (-15 - 3) + -19.
51
Evaluate 16 + 24 - (-13 - -16 - -9) - 4.
24
What is the value of (-77 - (-5 + -63)) + -1?
-10
What is the value of -17 + (24 - 4) + -26 - 43?
-66
What is the value of (-14 - -22) + (-20 - -5 - -17) + -4 + 0?
6
266 + -263 + (35 - 114)
-76
What is -30 + (43 - (6 - -30))?
-23
Evaluate -1 + -44 + (-1 - -5 - 4) + 4 + 3.
-38
Evaluate (30 - (31 - -11)) + -147 + (-9 - -6) - -13.
-149
What is the value of (-35 - -32) + 68 - 140?
-75
Calculate 7 + (-21 + 1 - -46) + -82.
-49
Evaluate 65 + 1 + (27 - (-34 + 72)).
55
Evaluate -4 + (21 - 36) + -12 + (-2 - -6).
-27
What is the value of (-1 + -27 - -31) + 16 + -17?
2
Calculate (-18 - -11) + 8 + 0 + (3 - 62) + -3.
-61
What is the value of -194 - (-11 + -96) - (-21 - 0)?
-66
Evaluate 106 - 0 - (-19 + (31 - (46 + -41))).
99
What is the value of (130 - 129) + (-13 - (8 + (-2 - 1)))?
-17
Evaluate 5 + -3 + (-75 + 60 - (-9 - -2 - 76)).
70
What is the value of -38 + -15 + -92 + 47?
-98
What is the value of (6 - 16) + (28 - (-29 - -85)) - (9 - -1)?
-48
2 + (-12 + (-7 - -14) + 17 - 1)
13
Evaluate 85 - (-61 - 0) - 66.
80
Evaluate -21 - (13 + -3 + 15 + -14 + -15).
-17
Evaluate 0 - -132 - ((28 - -12 - -33) + -64).
123
Calculate (-4 - -14) + -10 + 13 + -20 + -69.
-76
Calculate (57 - -15) + (-27 - 0).
45
What is 10 + 2 + 41 + 28?
81
What is the value of -16 - ((-18 - (-27 + (6 - -7))) + -7)?
-5
Calculate -73 + 61 + (50 - 152).
-114
Calculate -6 + 44 + -61 + (1 - -10) - 23.
-35
What is the value of -5 - -6 - -17 - (-42 + -17 + 3)?
74
Evaluate -8 + 68 - (38 + 37 + -49).
34
What is the value of 138 - (-33 + 78 - -50)?
43
Calculate (3 - (-2 + 7)) + (-1 - (6 + -3)).
-6
What is (0 + -28 - -60) + 30 + -26?
36
Evaluate (8 - -33) + -84 + 66.
23
-7 - (-13 - (-13 + 14)) - -25
32
What is 150 + -22 + -22 - 1 - 9?
96
What is (339 - 292) + (-1 - 15 - -2) + -2?
31
What is -13 + 11 - (18 + 37)?
-57
What is -22 - (0 - -4) - (31 + -31 + 1 + 2)?
-29
Calculate (-29 - 5) + -10 + 27 + -48.
-65
What is the value of -1 + -108 + (1931 - 1905)?
-83
What is 0 + -4 + (365 + -456 - (2 + -24))?
-73
-1 + -27 + -5 + 11 - -15
-7
Evaluate 1 + (46 + 46 + -75 - (2 - -12)).
4
Evaluate -118 + -5 + 89 + (-6 + 3 - 12).
-49
What is -22 - (-72 - (-50 - -3)) - (-72 - 0)?
75
-26 + -10 + 17 - -52
33
What is (2 - 0 - (-35 - 24 - (-14 - -15))) + -2?
60
What is the value of 4 - 1 - (-61 - -72) - (-11 - (51 - 1))?
53
Evaluate 14 + 1 + -2 + 3 + -67 - 1.
-52
(3 + -3 - 2) + (23 - (8 + 10) - 41)
-38
Calculate 9 + -34 - ((-589 - -584) + (9 + -2 - -2)).
-29
Evaluate -1 + 63 - (-27 - -37) - (17 + -36 - -16).
55
What is 2 - (-37 + -16 - -27) - 54?
-26
What is the value of -17 + 14 + 6 + 36?
39
What is the value of (2983 - 2966) + 0 + 4 + (56 - -2)?
79
What is 15 - ((35 - (15 - (-14 - -39))) + -4)?
-26
What is the value of 4 - (-29 - -42) - 27?
-36
Calculate 33 - 1 - (-4 - (2 + -12) - -2).
24
Evaluate 94 + 112 + -225 + -28.
-47
Evaluate -114 + (9 + 0 - (-86 + (85 - -2))).
-106
What is -2 + 7 + 214 + -323?
-104
What is (-26 - -26) + -19 - (-58 - 4)?
43
What is the value of -39 - (-8 - 65) - -5?
39
(-10 - 12) + (1 - 29) + 79
29
What is the value of -2 - (-15 + 9) - (-13 + -10 - 1)?
28
What is the value of -4 + -59 + 15 + (14 - 3) - -10?
-27
Calculate -122 + 0 + -22 + (39 + 38 - 61).
-128
Evaluate -105 + -2 + (-73 + 225 - 169).
-124
Calculate (24 - 25 - -31 - (0 - 14)) + (1 - 0).
45
(37 - (-48 - -40)) + -8
37
What is -19 - -2 - (-16 + (37 - (30 + 75)))?
67
Calculate 1 - 9 - (168 + -142 + -42 + -3).
11
4 + (-93 - -65) - 14
-38
(1 + -3 - 21) + (93 + -33 - 65)
-28
(15 - 22 - -5) + ((15 - 8) + 2 - 9)
-2
What is the value of 9 - (-7 - -11) - 2 - (3 + 6)?
-6
What is 4 - (-38 + -29 + 24)?
47
Evaluate -7 + 10 + -37 + 79 - 46.
-1
-1 - 9 - (30 + (-22 - (22 - 24)))
-20
111 + 0 - (-102 + (-11 - -44) + 54)
126
What is -12 - (2 + 0) - (618 + -680)?
48
0 + -1 + (-7 - -20) + -14 + 2 + 32
32
What is -1 + (20 - 50 - -68)?
37
What is -4 + (4 - 21 - 10) - -16?
-15
1 + -56 + 18 + 17
-20
(1 - -11) + (-61 + -17 - -28 - 7)
-45
What is (1 + 32 - (76 + (42 - 98))) + (-7 - -2)?
8
Evaluate -32 - (-10 + 9 - (24 + -10 + -26)).
-43
What is -2 + -2 + (-2 + 1 + 22 - (-396 - -378))?
35
Calculate 12 + 1 - 2 - 3 - ((-3 - 40) + -8).
59
What is 4 - (-15 + (-16 - -52) + -3)?
-14
What is the value of -2 + 1 - ((41 - -30) + -33)?
-39
Calculate -110 - ((373 - 408) + (36 - 0)).
-111
What is 37 - (-19 - -32) - 10 - -7?
21
What is (20 - (-7 - (23 - 5))) + -8?
37
Evaluate (-28 + 8 - -56) + -14 + 30 + -10.
42
What is -72 + -1 + 18 + 11 - 16?
-60
What is the value of -1 + -15 + (93 - (57 + 24))?
-4
Evaluate -89 + -80 - -187 - (10 + 0 + -1).
9
Calculate 19 + 115 + (-2 - -1) + (-31 + 4 - -16).
122
Calculate -50 - 50 - -12 - -116.
28
What is the value of -65 - (38 - 61) - -46?
4
Calculate 1 - (-28 + 17 + -32).
44
What is the value of (-35 - (24 - 21 - -7)) + 11?
-34
What is -1 - (-40 + -1 + 2 - (-1806 + 1800))?
32
-1 + (-14 - -19) + -6 - (9 - -4)
-15
What is (-9 - (-8 - -13)) + (15 - (-2 - -123)) + 19?
-101
What is 7 - -71 - (21 + 19)?
38
Evaluate 46 + -11 + 5 - (3 + 7 + -6).
36
What is the value of (-36 - 18 - -21) + 13?
-20
What is 35 - 0 - (30 + (9 + -36 - 8))?
40
What is (-15 - (5 - (6 - 2))) + (-49 - -54)?
-11
Evaluate -10 + 9 + (-89 - -119).
29
Calculate (55 - -1) + -2 - (-49 + -4 + 31 + 15).
61
Evaluate -1 + 9 + -19 + 9 + -11 - 47.
-60
-13 - -2 - (14 + -68) - (5 - -9)
29
Evaluate 9 - (-35 + -1 - ((-33 - -6) + 5 + 17)).
40
Calculate (11 - 2) + 0 + 1 + 2 - (-6 + 66).
-48
Calculate 159 + (-4 - -11 - (-106 + 146)).
126
What is the value of (1 - 3) + (1 - -2) - (-46 + 4 - 2)?
45
Evaluate (-4 - -2) + (-10 - -100) + -26 + -5.
57
Calculate (4 + -3 + -9 + (-20 - -147) - -16) + 5.
140
What is the value of (-8 - -28 - (-27 + 2)) + 1?
46
What is (-5 - (-6 + (-9 - 2) - -11)) + -9 + -50?
-58
Evaluate (29 - 11) + -4 - 4 - (-22 - (-2 + 5)).
35
Evaluate 0 + -87 - (-86 - -15).
-16
What is 27 - (0 - -14) - 40 - 33?
-60
Calculate (-20 - 0) + -170 + 208 + -61.
-43
What is -4 + -4 + -8 - (-82 - -28)?
38
|
{
"pile_set_name": "DM Mathematics"
}
|
is the closest to 3/58? (a) u (b) -5 (c) -1
a
Let w = -46 - -46. Suppose 5*i - 2*d - 13 = 1, w = -i - d. Let u = -0.44 - -0.04. What is the nearest to -2/7 in 4, u, i?
u
Let z = 354 - 355. What is the closest to 1 in 0.3, -0.3, z?
0.3
Let n = 1922 - 1914. What is the nearest to -3 in -2, 0.5, n?
-2
Let g be 1/(-4) - (-689)/(-156). Let u = 4 + g. What is the closest to -1 in -0.2, -2, u?
u
Let k = -0.1 - -2.5. Let y = k - 3.4. Let i(r) = -r**3 + 4*r**2 + 6*r - 1. Let z be i(5). Which is the closest to -1? (a) z (b) -0.2 (c) y
c
Let k = 2.32 + 12.68. What is the nearest to -1 in -3, k, -4?
-3
Let t = -103 + 103.49. Let g = 0.51 + t. What is the nearest to 0.1 in 3, g, 1/4?
1/4
Let t = 11.3 + -11.3. Let o be (-2)/(-4)*2/3. Let h = -16 + 15.8. Which is the closest to o? (a) t (b) -0.5 (c) h
a
Let z = -6.7 + 6.756. What is the closest to 1 in 0, -2/5, z?
z
Let x = -0.459 + 0.059. What is the closest to -4 in x, -0.1, 3?
x
Let m = -60 + 59. Which is the closest to 2? (a) 3 (b) m (c) -37 (d) -3
a
Let x(q) = -q**2 - 2*q + 5. Let s be x(5). Let c(d) = d**3 + 30*d**2 - d - 30. Let o be c(s). Let n = 7 + -1. What is the closest to o in n, -3/4, 3/7?
3/7
Let s = -0.2 - -0.3. Let m = -23 - -23.6. Let v = 0.5 - m. Which is the nearest to v? (a) -0.4 (b) 1 (c) s
c
Let s be (-9)/(-3) - (-1)/(-1). Let h(r) = 4*r - 18. Let x be h(7). Suppose -x + 20 = 5*u. Which is the closest to u? (a) s (b) 1/3 (c) 1/5
a
Let d = 211/4 - 53. Let s = 11.25 + -7. Let w = s - 0.25. Which is the closest to d? (a) 2/13 (b) w (c) -2/5
c
Suppose 4 - 12 = 2*b. Let a be (12/(-3))/b + -3. Let u = 0 + 1/6. What is the nearest to 0 in u, 3, a?
u
Let n be (-8)/(-90) - (-4)/(-18). Let d(r) = -3*r + 111. Let p be d(35). Which is the closest to 1/7? (a) n (b) p (c) -4
a
Let h = -25 + 12. Let y be 0 - (-3 + h/(-4)). Let m = -125/366 + 1/122. Which is the closest to y? (a) 0.1 (b) 0.4 (c) m
c
Suppose 0 = 3*y + 3*w - 174, -5*y = 4*w - 277 - 10. Which is the closest to -1? (a) -0.4 (b) y (c) -0.5
c
Let m = -0.0784 - -0.0684. Which is the nearest to -1/6? (a) 1/4 (b) 2 (c) m
c
Let r = -652 + 634. Which is the nearest to 1? (a) -2/7 (b) 1/5 (c) 5 (d) r
b
Let n = 3.97 - -1.03. Which is the nearest to 13? (a) n (b) 4/19 (c) 2
a
Let q be ((-16)/(-24))/((-8)/(-12)). Let m = 3.01 + -0.01. Let p = -2 + 1.8. What is the closest to -2 in q, m, p?
p
Let w = -34.006 - 0.394. Let z = w + 34. Let g = 6/65 + 23/455. Which is the closest to 2/3? (a) -1 (b) z (c) g
c
Let f = 3 - 2.8. Let k be 70/98*9/(45/(-2)). What is the nearest to -2 in -2, f, k?
-2
Let l = -254495/4863 - 2/4863. Let j = 53 + l. Which is the nearest to 1/2? (a) -3 (b) j (c) 0.4
c
Let g = 4 - 2. Let x = -0.0456 + -0.9544. Let v = -0.5 - -0.3. Which is the nearest to v? (a) g (b) x (c) 4
b
Let i = 222.2 - 222. Let h = 55/2 - 27. Which is the closest to i? (a) h (b) -2/5 (c) 0
c
Let s be 1 + ((-189)/(-24))/(-7). Let w be ((-4)/(-40))/(-3*1/(-18)). Which is the nearest to 1? (a) w (b) -0.4 (c) s
a
Let z = -1388 - -1384. Which is the closest to -0.2? (a) z (b) 0.4 (c) -0.4 (d) -0.5
c
Let n = 0.2 - 0.1. Let t(z) = 3*z - 6. Let x be t(-2). Let b be (17/170)/((-2)/x). What is the nearest to 0.1 in -1, n, b?
n
Let x = -67 - -57. Let j = x + 10.5. Which is the closest to 0.01? (a) -5 (b) j (c) -5/3
b
Let s = 2.09 + 0.31. Let p = 2.2 - s. Which is the nearest to 0? (a) 2/7 (b) -3 (c) p
c
Let d = -1.05 - -1.45. Let n = -159.87 - -159. Let x = n + -0.13. Which is the nearest to 0.1? (a) -3 (b) d (c) x
b
Let a = 157/335 - 18/67. What is the nearest to -2 in a, -2/7, 3/4?
-2/7
Let k(d) = d**2 - 3*d. Let y be k(4). Let t = -2740 + 2743. What is the nearest to y in -2/9, t, 0.1?
t
Let s = -0.031 + 72.031. Let j = s - 71.8. Which is the closest to -1? (a) -4 (b) 1 (c) j
c
Let q = 3.07 - 2.9. Let f = q + -5.17. Which is the nearest to f? (a) -5 (b) 4 (c) -5/3
a
Let r = -2.011 - -6.011. Let q = -0.04 - 0.06. Which is the closest to q? (a) -3 (b) r (c) -4
a
Suppose 3*n - 4 = 5*l, n + 4*n - 3*l - 12 = 0. Which is the nearest to 0? (a) 19 (b) n (c) 1/7 (d) 0
d
Let p = 0.09 + 0.14. Let f = -5.27 - p. Let y = f + 5. Which is the nearest to -2/3? (a) 1/7 (b) y (c) -4
b
Let j = 296.8 + -296. What is the nearest to 1/3 in j, 0.5, -1/3?
0.5
Let n = -857 + 857. What is the nearest to n in 2/9, 1/2, -2, 1?
2/9
Let j be (-38)/(-60) - 31/62. Which is the closest to 1? (a) 1 (b) j (c) -5 (d) 2/7
a
Let u be 3*(2 - 3) + (-108)/(-48). Let x = 4.3 + -4. Which is the nearest to x? (a) 0 (b) u (c) -2
a
Let l = -31 + 373/12. Let g be ((-2)/(-14))/(7/49*6). Which is the nearest to 0? (a) 0 (b) g (c) l
a
Let t = 155 + -153. What is the closest to 1 in 0.4, t, -7/3?
0.4
Let h = 502/21 - 165/7. What is the nearest to -1/2 in 2/3, h, -0.5?
-0.5
Suppose -9*z + 64 = -2*z + 57. Let i = 9 + -6. Let k = 3.2 - i. What is the nearest to z in -0.5, k, -5?
k
Let x = 10.4 + 52.6. Let m = -66 + x. Which is the closest to 0.2? (a) -4 (b) 4 (c) m
c
Let r be (3 - 2)/(1/11). Let u = r + -10. Let w be -1*u/(0 + -1). Which is the closest to -3/5? (a) 4/3 (b) -0.5 (c) w
b
Let k = -317/105 + 55/21. Let m = 2/157 + 143/1099. Which is the closest to -1? (a) m (b) k (c) 0.3
b
Let g = -42.7 - -45.7. Which is the closest to g? (a) -1 (b) 3 (c) -1/18 (d) -4
b
Let k be (-2)/(-3)*8/48*-9. What is the closest to 1 in 0.7, k, -4/3, 2?
0.7
Let p = -2249 - -80977/36. Let f = 10/9 - p. Let x = -0.906 - -4.906. What is the closest to 2/5 in f, x, -0.3?
f
Let d = 74 + -76. Let a be d/(-7) + 38/(-84). What is the closest to 3/2 in a, -0.4, -2/7?
a
Let w be 1/((-1 - 0) + 12). Let f = 0.13 + -0.03. What is the closest to 2/5 in f, w, -0.12?
f
Let z = 1282 + -11540/9. Which is the closest to 2? (a) 2/5 (b) z (c) 4
a
Suppose 0 = 2*n - n - 5. Let l = 7.5 + -7.4. What is the nearest to -0.1 in l, -2/3, n?
l
Let t(q) = -18*q - 10. Let d be t(-7). Suppose 5*r - 149 = d. Let x be (-1)/(-8) - r/40. What is the closest to 0 in 2, x, -4/3?
x
Let y be 8/(-198) - (-4)/18. Let m = -126 + 139.7. Let g = m + -14. What is the closest to -1 in y, 0.3, g?
g
Let s = 0.3185 - 5.3185. What is the closest to 0.2 in s, -0.3, -4, 8?
-0.3
Let l = -21 + 28. Let w(f) = 2*f - 13. Let h be w(l). Let r = -0.5 - -0.5. What is the closest to r in -5, h, -0.3?
-0.3
Let v be 1/((-22)/8 + 1). Let s = 35.7 - -0.3. Let j = 37 - s. Which is the nearest to v? (a) 0 (b) -1/4 (c) j
b
Suppose 2*h + 0*h = 0. Suppose 2*g - 3 + 9 = h. Let d be 2 - (-1 + 6/(6/3)). Which is the nearest to d? (a) g (b) 0.4 (c) 0
c
Let o(n) be the first derivative of n**3/3 + 2*n**2 - n - 1. Let l be o(-5). Which is the nearest to 0.1? (a) -14 (b) l (c) 3
c
Let z = -0.9 + 1. Let t = -3.6 - -6.8. Let p = t + -3.09. Which is the nearest to z? (a) 0 (b) 3/4 (c) p
c
Let p = 16.1 - -26.9. Let y = p - 44. Let f = 2 + -3. What is the closest to f in -4, y, 3/5?
y
Let o = 214 - 213. Let t = 7 - 11. Let i = t + 4.1. Which is the closest to o? (a) i (b) 5 (c) 2
a
Let g = 0.05 - -0.15. Let k = -0.459 - -0.059. Which is the closest to g? (a) k (b) -4/5 (c) 3/8
c
Let d be 6/60*5/4. Let x = -7/8 + d. Let f = 121/186 - -1/62. What is the closest to f in x, 4, -1?
x
Suppose -x = 2*z - 266, -x = -2*z + 240 + 22. Let m be ((-72)/z)/(-1 - 2). Let d = 1 + 3. Which is the nearest to 0.1? (a) 5 (b) m (c) d
b
Let g = 7 - 12. Let u(y) = y**2 + y - 5. Let z be u(7). Let q = 53 - z. Which is the closest to -0.1? (a) g (b) q (c) 0.5
c
Let g be (-1089)/99 - 80/(-7). What is the closest to 1 in 3/2, g, -8?
3/2
Let o = 13.7 - 12.7. Let q = 0.7 - -0.3. What is the closest to q in -21, o, -0.2?
o
Let t = -67.5 + 67. Let s = 17 + -17. Which is the closest to 2/9? (a) 0.3 (b) s (c) t
a
Let s be (-1)/((-33)/15 + 2). Let m be (-2)/3*18/12. Let u = -17/69 + -2/23. Which is the closest to u? (a) s (b) m (c) 2/15
c
Let d = 24.4 + -27. Let u = d + 3.1. What is the nearest to 0.4 in u, 4/5, -3/2?
u
Let g = 3.073 + -1.673. What is the closest to 1 in g, 1, -6, -0.5?
1
Let u = -33 + 32.83. Let j = 0.57 + u. Let o = 4 - 4.2. What is the nearest to -2 in o, j, 1?
o
Let z = 766 + -766.4. Let y = -3.03 + 0.03. Which is the closest to y? (a) 5 (b) -4 (c) z
b
Let v = 10 + -49/5. Let p be (-
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -5/24*j**4 + 0*j**3 + 0*j + 0 - j**2. Calculate c(m).
5
Let f(q) = 2*q**2 - 4. Suppose 5*u - 1 = 3*g, 4*g - 4 + 0 = 4*u. What is f(g)?
14
Let y(a) = 5*a - 2 + a**3 - 3*a - a - 5*a**2 + 3*a. Calculate y(4).
-2
Let s(c) = -c**2 + c + 2. Suppose 0 = -11*l + 12*l. Determine s(l).
2
Let w(v) = v**2 + 11*v**3 + 10*v**3 - 22*v**3 - 10. Calculate w(0).
-10
Let o(h) = 0*h + h - 11 + 0*h + 0*h. Let v be (-6)/(-9)*3*1. Suppose -3*i = v*i - 25. Determine o(i).
-6
Let r(z) be the third derivative of -z**5/60 + z**4/8 + z**3/2 - 2*z**2. What is r(4)?
-1
Let j(t) = 4*t + 4. Suppose 0 = 3*p + 5*b - b - 41, 0 = 2*p + 3*b - 28. Suppose p = -3*v + 4*m, 5*v = -m - 35 + 9. Calculate j(v).
-16
Let z(x) = -2*x + 2. Let t = -91 + 89. Give z(t).
6
Suppose -1 = -2*w + 1. Let d(k) = -k**2 + 2*k + 8 + 6 - 15. Calculate d(w).
0
Suppose -2*q + 0 + 20 = -2*m, 5*q - 44 = 2*m. Suppose -q = -n + 3*n. Let f = n - -4. Let v(s) = -s + 2. Give v(f).
2
Let x(u) be the first derivative of -u**3/3 - 4*u**2 + 2*u - 5. Determine x(-8).
2
Let n(f) = -f**2 - 16*f - 5. Let d(c) = c. Let o(k) = -6*d(k) - n(k). Calculate o(-7).
-16
Let j(y) = -7*y**2 + 7*y. Let w(d) = -11*d**2 + 11*d. Let f(n) = -8*j(n) + 5*w(n). What is f(-2)?
6
Suppose 5*m = -z - 3*z - 13, -2*m + 5 = 5*z. Let q(c) be the second derivative of -1/6*c**z - 1/2*c**2 + 0 - c. Determine q(-4).
3
Let b(g) = 2*g**3 - 2*g**2 - 2*g - 2. Let o(f) = -3*f**3 + 3*f**2 + 3*f + 5. Let l(n) = 5*b(n) + 3*o(n). What is l(0)?
5
Let n(y) be the second derivative of y**7/2520 - y**6/720 - y**5/24 + 5*y**4/12 - 2*y. Let m(g) be the third derivative of n(g). Calculate m(4).
7
Let y(z) = 1. Let n(x) = x**2 + 2*x + 2. Suppose -5*u + 1 = -4. Let o be -2 + (-2 - 3/(-1)). Let b(l) = o*n(l) + u*y(l). Determine b(-1).
0
Let h(z) = -2*z**2 + 2*z + 1. Let f be h(-1). Let a(d) be the first derivative of 4*d + 1/4*d**4 + 8 + d**3 + 0*d**2. Calculate a(f).
4
Let l(y) = y**2 + 3*y + 4. Let g(p) = -2*p + 4. Suppose 3*r - 17 = 2*n - 2*r, -5*n + 30 = 2*r. Let q be g(n). Determine l(q).
8
Let d(y) be the second derivative of -7*y**5/20 - y**4/12 - y**3/6 + 23*y. Calculate d(-1).
7
Let r(y) = y**2 - 7*y + 8. Let t be r(6). Suppose 3*j = t*j. Let w(m) = m - 5. Let f(i) = -2*i + 10. Let v(a) = 6*f(a) + 13*w(a). Determine v(j).
-5
Let j(v) = -3*v**2 + v - 1. Let o(h) = 4*h**2 + 2. Let r(t) = -3*j(t) - 2*o(t). Suppose -2*q = -q - 3. Give r(q).
-1
Let y = -6 + 17. Let n = y - 16. Let i = 9 + n. Let r(l) = -l**2 + 6*l - 1. What is r(i)?
7
Suppose 2*b - 3*v - 14 = -7*v, 4 = 4*b + 2*v. Let t(p) = -6*p**2 - p - 1. Give t(b).
-6
Suppose 0*p = -3*p. Suppose 2*j + j = p. Let o(k) = -k**3 - 2 + 2*k**2 + k - 3*k**2 + 0*k**3. Calculate o(j).
-2
Let m(y) = y**2 + 14*y + 5. Let j be m(-14). Suppose j*h - 20 = h. Let z(q) = 5 + 1 + h*q - 7*q + 2. Calculate z(6).
-4
Suppose -3*n = -5*p + 42, 5*n - p + 5*p + 33 = 0. Let k be 2/n + (-473)/99. Let g(c) = -c**3 - 4*c**2 + 7*c + 5. Give g(k).
-5
Let i(c) be the first derivative of -c**2/2 + 4*c - 12. Give i(6).
-2
Let f(z) = -4*z**2 - 6*z + 4 - 1 + 3*z. Let r(b) = -3*b**2 - 2*b + 2. Let m(k) = -k + 1. Let j be m(4). Let o(i) = j*r(i) + 2*f(i). What is o(1)?
1
Suppose 2*d = 5*q + 13, 2*d + 5*q = d - 1. Suppose -d - 2 = 3*b. Let n be 3*(-2 + 4)/b. Let o(h) = -h**3 - 4*h**2 + 3. Determine o(n).
-6
Let v(g) = -2 + 112*g + 7 - 111*g. Determine v(-4).
1
Suppose 7*v - 15 = 2*v. Let s be (-2 + 3)/((-2)/(-10)). Let m(b) = b - s*b + 3*b + 1. Give m(v).
-2
Let o(n) be the second derivative of 2*n**3/3 - 5*n. Suppose 2*i + 3*i = -40. Let z be ((-2)/(-3))/(i/12). Determine o(z).
-4
Let c(b) = b**3 - 6*b**2 + 4*b - 5. Let n = 9 + -14. Let w = n - -10. Determine c(w).
-10
Suppose -65 = -5*a - 0*a. Let m = a - 13. Let l(z) = z + 3. Give l(m).
3
Suppose 0 = g - 3*z - 13, 3*g - 4 = 2*z + 14. Let l(u) be the first derivative of 0*u**3 + 2 - u**2 + u + 1/2*u**g. Calculate l(-2).
-11
Let p(h) = h - 3*h + 20 + 22*h. Let w(z) = 7*z + 7. Let c(a) = -6*p(a) + 17*w(a). Suppose 3*u - 3*f = 0, -u + f = 4*u. What is c(u)?
-1
Let l = 11 + -7. Let v(t) = -1 + 0*t + l*t - 2. Give v(2).
5
Let c = 1 + 3. Let v(i) = -i - 5. Calculate v(c).
-9
Let r(b) = 2*b - 13. Let q(u) = -u + 6. Let i(a) = -5*q(a) - 3*r(a). What is i(0)?
9
Let t(h) be the third derivative of h**4/24 - 10*h**2. Calculate t(2).
2
Let o(y) be the third derivative of -y**5/60 - y**4/6 - 2*y**3/3 + y**2. Let u(f) be the second derivative of -5*f**3/6 + 5*f. Let i be u(1). Determine o(i).
-9
Let f = -5 + 4. Let j be 2 - 3 - f/1. Suppose -b - 3*g = 2, 19 = -j*b - 4*b - g. Let x(n) = -n**2 - 6*n - 1. Give x(b).
4
Let s(n) = -424*n + 5*n**2 + 424*n + 8*n**2 + 1. Determine s(1).
14
Suppose 2*s - s - 113 = 4*y, -5*s = 4*y + 107. Let o = -28 - y. Let f(c) = -c**2 - c - 4. Give f(o).
-4
Let d(o) = 3 - 2*o - 3. Suppose y + 5*r = 4, 37*r = 3*y + 32*r - 12. Give d(y).
-8
Suppose 6 = -5*x + 36. Let h be (x/(-15))/((-2)/(-20)). Let a(k) = 0 - 5*k - k**2 + 2 - 1. Determine a(h).
5
Let h be (1/1)/((-7)/(-14)). Let b(s) = 5*s**2 - 2 - 1 - h - 4*s - 4*s**2. Determine b(5).
0
Let v(p) = p**2. Let l(d) = d**2 - 3*d**2 - d**2 - d + 2*d**2. Let f(z) = -7*l(z) - 6*v(z). Calculate f(-6).
-6
Let d(h) be the third derivative of h**7/2520 + h**6/120 + h**5/30 + h**4/8 + 9*h**2. Let b(v) be the second derivative of d(v). What is b(-4)?
-4
Let w(k) = 10*k - 2 - 2 - 9*k. Determine w(7).
3
Let k(s) be the third derivative of 0*s + 1/12*s**4 + s**2 + 0 - 1/3*s**3 + 1/20*s**5. Calculate k(-2).
6
Suppose -t + 7 = 4*t - 4*k, -5*t - 3*k = -21. Let o(b) = 6*b + 5 + 2*b - t*b - 6. Let v(s) = -s**3 + 9*s**2 + 10*s + 1. Let w be v(10). Give o(w).
4
Let f(z) = -z**3 + 5*z**2 - 3. Let c = -1 - -6. Calculate f(c).
-3
Let t = 4 - 5. Let q(s) = -14*s + 5*s**2 + s**3 + 16*s - 4*s**2 + 1. Give q(t).
-1
Let m(o) = o**3 + 0 - 2*o**3 + 5 - 4*o - 5*o**2. Give m(-5).
25
Let h be 5*((-32)/(-20) + -2). Let x(t) = -4*t**2 - t - 2. Determine x(h).
-16
Suppose 0 = -2*b + 4*b + 12. Let j(g) = -g**2 - 6*g - 9. Calculate j(b).
-9
Let x be -1 + 4/((-12)/(-9)). Let a be 0/x + 2 + -3. Let p(n) = 4*n**2 - 5*n + 2 - 3 + 3*n. Give p(a).
5
Let s(j) be the first derivative of 0*j + 1/2*j**3 + j**2 - 1/24*j**4 - 1. Let n(w) be the second derivative of s(w). Calculate n(4).
-1
Let o(g) = 6*g - 1. Suppose 4 = j - a, -j + 5*a + 2 = -14. Calculate o(j).
5
Let a(l) = 4*l - 5*l - l**2 + 2*l**2 + 2*l. Let d(y) = -y**2 - 2*y - 1. Let s be d(-1). Suppose -4 = -s*q + 2*q. What is a(q)?
2
Let v(h) = 2*h**2 - 4*h + 8. Let x be v(5). Let b be x/14 - (-6)/21. Let y(i) = i**3 - 2*i**2 - i + 1. What is y(b)?
7
Suppose 2 = 3*m - 4. Let j(s) be the third derivative of 5/6*s**3 + 0*s - 1/60*s**5 + 0 + 1/12*s**4 + 3*s**m. Give j(4).
-3
Let i(r) = -2*r**2 - 7*r - 5. Suppose 3*b - 2*b + 9 = 0. Let s = b + 5. Determine i(s).
-9
Let r(g) = g + 1. Let v(y) = -2*y - 4. Let c(m) = -2*r(m) - 2*v(m). Suppose 0 = -3*i - 9 - 6. Give c(i).
-4
Let c(g) = 2*g. Let a be c(2). Let o(p) = -p**3 + 4*p**2 + 3*p - 3. Give o(a).
9
Let h(g) = -g. Let r be (1 - 12/8)*-4. Calculate h(r).
-2
Let o(c) = 20*c**3 - 12*c**2 - 14*c + 17. Let k(v) = 7*v**3 - 4*v**2 - 5*v + 6. Let g(w) = 17*k(w) - 6*o(w). Determine g(3).
6
Let v(x) = 10*x + 11. Let s(g) = 15*g + 17. Let i(a) = -5*s(a) + 8*v(a). Suppose -2*y = -y + 3. Give i(y).
-12
Let f(k) = -4*k**2 + k**2 + 2*k**2 + k - 7 + 2*k**2. Calculate f(-5).
13
Suppose d - r + 7 - 4 = 0, -2*d = -r + 5. Let q(y) = 5*y + 3. Give q(d).
-7
Let v(h) = -h**2 + 3*h**2 - 6*h + 1 + 0*h + 3*h. Give v(-3).
28
Let p = -10 + 12. Suppose -k - c + p = -2, 5*k = 4*c - 16. Let a(y) = -y. Give a(k).
0
Let t be (25 + -3)/2 + 0. Let z(c) = -c**3 + 12*c**2 - 10*c - 11. What is z(t)?
0
Suppose 0 = -x + 2*i - 3 + 7, i + 2 = 5*x. Let z(k) = -2*k + 0*k - 2 + 0*k - k. Let g(m) = m. Let c(b) = -4*g(b) - z(b). Give c(x).
2
Let i(k) = -k**3 - k**2 + 2*k + 1. Let t be 2/3*9/(-3). Let s(h) = h**3 + 2*h**2 + h. Let a be s(t). Let l = a - -4. Give i(l).
-7
Let s(q) be the first derivative of -q**6/120 + q**4/24 - q**3/6 - 5*q**2/2 - 1. Let c(x) be the second derivative of s(x). Give c(0).
-1
Let f(x) be the first derivative of -3/2*x**2 - 1/3*x**3 + 4*x - 4. Let n(p) = p**3 - 4*p**2 - 5*p - 5. Let c be n(5). Calculate f(c).
-6
Suppose -3*q = -3*w + 21, 5*w = -q - 15 + 38. Let k(y) = y - 5. Calcula
|
{
"pile_set_name": "DM Mathematics"
}
|
d the third derivative of j(b) wrt b.
54
Find the second derivative of -124*u**4 + 85*u - 111*u**4 + 0*u**4 + 95*u wrt u.
-2820*u**2
Suppose j + 20 = 2*d, 4*d + 2*j + j = 20. What is the second derivative of 57*t**3 + 2*t - 57*t**3 + d*t - 5*t**4 wrt t?
-60*t**2
Let t = 3 - 1. Let w be 8/(-6)*(-6)/4. Differentiate w + 9 - 9 - 2*m**t wrt m.
-4*m
Let m(r) be the first derivative of r**8/24 - 7*r**5/60 + 7*r**2 - 14. Let s(v) be the second derivative of m(v). Find the third derivative of s(n) wrt n.
840*n**2
Let g(i) be the third derivative of 32*i**8/21 - 3*i**4/4 + 3*i**3/2 + 2*i**2 + 153*i. Find the second derivative of g(u) wrt u.
10240*u**3
Let r(t) be the first derivative of t**8/1680 + t**5/8 - t**3 + 10. Let q(a) be the third derivative of r(a). What is the second derivative of q(d) wrt d?
12*d**2
Let g be -4 + 0 + -2 + 36/4. Find the third derivative of -2*y**2 + 13*y**3 + 18*y**3 - 50*y**g + 10*y**3 wrt y.
-54
Let g(i) = -97*i**2 - 45. Let s(k) = 1554*k**2 + 721. Let z(m) = -49*g(m) - 3*s(m). Differentiate z(l) wrt l.
182*l
Let m be 0 - (-4 - -7) - -3. What is the second derivative of 4*u**4 + 5*u + 2*u**3 + m*u**3 - 2*u**3 wrt u?
48*u**2
Let t(s) = -294*s**4 + 6*s**3 - 6*s - 261. Let y(a) = -294*a**4 + 5*a**3 - 5*a - 259. Let c(r) = -5*t(r) + 6*y(r). Differentiate c(d) wrt d.
-1176*d**3
Let t be 1 + 0 + 0 + 6 + -5. Find the third derivative of 14*k**t + 5*k**2 + 27*k**4 + 7*k**2 wrt k.
648*k
Let i(p) = -8*p**3 + p**2. Let l be ((-18)/8)/(6/(-16)). Let x(y) = -9*y**3 + y**2. Let v(s) = l*x(s) - 5*i(s). What is the third derivative of v(b) wrt b?
-84
Suppose w - 20 = -2*p, 14 = 3*p - 1. What is the derivative of -26 - w*f + 5 + 14 wrt f?
-10
Let b = 22 - 18. Find the second derivative of 36*f**5 - b*f**3 + 4*f**3 - 17*f**5 - 8*f wrt f.
380*f**3
Let p(i) = 6*i**4 + 3*i**3 + 24*i**2 - 2. Let x(j) = -12*j**4 - 6*j**3 - 47*j**2 + 4. Let b(t) = 5*p(t) + 3*x(t). Find the third derivative of b(c) wrt c.
-144*c - 18
Let u(p) = p**2 + 3*p + 6. Let z be u(6). Suppose 17*r - z = 12*r. Find the third derivative of -5*n**2 + 14*n**6 - 13*n**6 + r*n**2 wrt n.
120*n**3
Find the second derivative of 34917*z**3 - 572*z - 34953*z**3 + 168*z wrt z.
-216*z
Let g be 6/39 - 112/52. Let t(k) = -13*k + 5. Let n(i) = 25*i - 10. Let p(u) = g*n(u) - 5*t(u). Find the first derivative of p(d) wrt d.
15
What is the third derivative of 2*n**6 + 15*n**4 - 6544*n**2 + 6591*n**2 + 0*n**6 wrt n?
240*n**3 + 360*n
Let c(r) be the first derivative of 133*r**2/2 + 56*r + 17. Differentiate c(n) wrt n.
133
Let n(y) be the third derivative of -y**9/84 + y**6/40 + 19*y**5/30 + 79*y**2. What is the third derivative of n(o) wrt o?
-720*o**3 + 18
Let u(b) be the third derivative of 659*b**7/210 + 23*b**5/10 - 29*b**2 - 6. What is the third derivative of u(h) wrt h?
15816*h
Let f(b) = 3*b**3 + 7*b**2 + 335*b + 761. Let s(m) = -m**3 - 3*m**2 - 167*m - 380. Let u(w) = -3*f(w) - 7*s(w). Differentiate u(k) wrt k.
-6*k**2 + 164
Let u(a) = a**3 + 23 - a - a**4 - 24 - a**3. Let l(t) = 11*t**4 + 10*t + 3. Let f(k) = -l(k) - 3*u(k). Find the second derivative of f(w) wrt w.
-96*w**2
Let v(c) = -7*c**4 - 89*c**3 + 1078*c**2. Let l(p) = -4*p**4 - 44*p**3 + 538*p**2. Let m(b) = -5*l(b) + 3*v(b). What is the third derivative of m(h) wrt h?
-24*h - 282
Let z(d) be the third derivative of 2*d**6/15 + d**4/4 + 5*d**3/3 + 7*d**2. Let u(y) = -y**3 - y - 1. Let f(g) = 6*u(g) + z(g). Differentiate f(h) wrt h.
30*h**2
Find the first derivative of 558*n**2 + 576*n**2 - 1063*n**2 + 204 wrt n.
142*n
Let w(k) = k**3 - 7*k**2 + 9*k - 7. Let x = -3 + 9. Let b be w(x). What is the first derivative of 0*f - 1 - f + b*f wrt f?
10
Let f(n) be the second derivative of 29*n**5/20 + n**4/12 - 4*n**2 + 4*n - 4. Find the third derivative of f(o) wrt o.
174
Let h(p) be the third derivative of 1/210*p**7 + 7/8*p**4 + 0*p**6 + 0*p**3 + 0*p**5 + 0*p + 0 - 13*p**2. What is the second derivative of h(c) wrt c?
12*c**2
Let q = -7 + 9. Suppose l - 9 = -q*l. Find the third derivative of -2*f**2 - 3*f**2 + 4*f**6 - l*f**6 wrt f.
120*f**3
What is the derivative of 32 + 20 - 84*r**4 + 12 wrt r?
-336*r**3
Find the third derivative of -18*k**2 - 17*k**2 - 99*k**4 + 32*k**2 wrt k.
-2376*k
Let a = 258 + -29. What is the second derivative of -4*l**3 + 2*l**3 + 229 - a - 6*l wrt l?
-12*l
Let w(p) = -p**2 + 3*p + 28. Let g be w(7). Let o(m) be the first derivative of -5/2*m**4 + 0*m**2 + g*m**3 - m + 2. What is the derivative of o(q) wrt q?
-30*q**2
Let t = -71 - -74. Find the second derivative of 3*m + t*m - 5*m - 4*m**3 wrt m.
-24*m
Suppose -d + 2*z + z = -4, 12 = 3*d - 2*z. Suppose -d*p = -p - 6. Find the third derivative of 12 + 2*q**5 - 12 + 4*q**p wrt q.
120*q**2
Let t(n) be the first derivative of 0*n**2 + 36*n - 24 + 0*n**3 + 3/4*n**4. Differentiate t(x) with respect to x.
9*x**2
Find the second derivative of 13*o - 16*o**2 + 42*o**2 + 71*o**4 - 26*o**2 wrt o.
852*o**2
Find the third derivative of w**2 - 1 - 14*w**3 + 1 - 100*w**2 wrt w.
-84
Let c = -21 - -28. Suppose 4*q - c = 13. What is the third derivative of 8*n**5 - 11*n**q + 3*n**2 - 11*n**2 wrt n?
-180*n**2
Let o(c) be the first derivative of 9 + 0*c + 1/2*c**4 + 0*c**2 + 4*c**3. Find the third derivative of o(m) wrt m.
12
Let y(m) = 1377*m**4 + 5*m**3 - 471*m - 3. Let k(z) = -2065*z**4 - 7*z**3 + 706*z + 4. Let x(u) = 5*k(u) + 7*y(u). What is the second derivative of x(l) wrt l?
-8232*l**2
Find the second derivative of 43*j + j**5 - 2*j**5 - 5*j**2 - 20*j + 21*j**2 wrt j.
-20*j**3 + 32
Let h(p) = 3*p**2 + 23*p - 13. Let i be h(-11). What is the third derivative of 33*b**3 - 104*b**2 + 173*b**2 - i*b**2 wrt b?
198
Let k(s) be the first derivative of 0*s + 0*s**5 - 6*s**2 + 0*s**4 + 4/3*s**6 + 0*s**3 + 13. Find the second derivative of k(o) wrt o.
160*o**3
Let c(y) = y**2 - 7*y + 6. Let f be c(7). What is the third derivative of 4*v**f - 2*v**2 - 15*v + 15*v wrt v?
480*v**3
Let r = 195 - 195. Let m(s) be the third derivative of r*s**5 + 0*s**4 - 2*s**2 - 1/6*s**3 + 0*s + 1/40*s**6 + 0. What is the first derivative of m(j) wrt j?
9*j**2
Let p be (-95)/(-20) - 2/(-8). Let w = 8 - p. What is the third derivative of -3*l**6 - 5*l**3 + 5*l**w + 4*l**2 wrt l?
-360*l**3
Let z = 13 - 12. Suppose 2*r - 11 = -z. What is the second derivative of n + 10 - 10 + 2*n**r + 0*n wrt n?
40*n**3
Let q(p) be the second derivative of -p**6/40 + p**5/3 + 3*p**2 + 9*p. Let g(h) be the first derivative of q(h). Find the third derivative of g(b) wrt b.
-18
Let m(r) be the third derivative of -4/15*r**5 + 0 + 21*r**2 + 0*r**4 + 0*r + 0*r**7 + 0*r**3 - 5/336*r**8 + 0*r**6. What is the third derivative of m(y) wrt y?
-300*y**2
Let q(d) be the second derivative of -22*d + 9/4*d**4 - 23/15*d**6 + 0*d**2 + 0*d**5 + 0 + 0*d**3. Find the third derivative of q(p) wrt p.
-1104*p
Let r(f) = 2*f**3 + 8*f**2 + f + 8. Let x be r(-4). What is the first derivative of 7*a - 19*a + x*a + 0*a**4 + 21 + a**4 wrt a?
4*a**3 - 8
What is the second derivative of 2*s**4 + 17*s - 27*s**2 + 16*s - 43*s**2 - 1 wrt s?
24*s**2 - 140
Let o(x) be the first derivative of 13*x**8/1680 + 7*x**4/12 - 7*x**3/3 - 3. Let d(w) be the third derivative of o(w). Differentiate d(u) with respect to u.
52*u**3
Let z(r) = 3*r**2 - 53*r - 177. Let b(g) = -6*g**2 + 108*g + 352. Let i(d) = 4*b(d) + 9*z(d). What is the derivative of i(k) wrt k?
6*k - 45
Let b(d) be the third derivative of 1/21*d**8 - 24*d**2 + 11/24*d**4 + 0 + 0*d**5 + 0*d + 0*d**6 + 0*d**7 + 0*d**3. What is the second derivative of b(f) wrt f?
320*f**3
Suppose -2*n - 30 = 8. Let f = -17 - n. What is the first derivative of 2 + 3 + 6*x**2 - 9 - f wrt x?
12*x
Let t(n) be the third derivative of 0 + 20*n**2 + 0*n - 23/60*n**5 + 0*n**4 + 23/6*n**3. What is the first derivative of t(h) wrt h?
-46*h
Suppose 0 = -6*t + 5*t - 6. Let v be 7 + t/3 + -2. What is the second derivative of -6*k - v*k**3 - 28*k**2 + 28*k**2 wrt k?
-18*k
Let p(n) = 312*n**4 - 5*n**2 + 119*n. Let f(i) = 156*i**4 - 3*i**2 + 60*i. Let w(o) = -5*f(o) + 3*p(o). What is the second derivative of w(m) wrt m?
1872*m**2
Let x(w) be the second derivative of 5/6*w**3 + 0 - 12*w + 9/2*w**2. What is the first derivative of x(n) wrt n?
5
Let m(u) = 40*u**2 - 23*u + 9. Let x(r) = 45*r - 18*r**2 - 77*r**2 - 20 + 16*r**2. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
g) = n(g) - 6*v(g). Let t(b) = 0. What is b?
-1, 1, 48
Let a be (-132030)/(-3423) - (-1 + 35). Suppose 8/7*q**4 + 20/7*q**3 + a - 16/7*q - 40/7*q**2 - 4/7*q**5 = 0. Calculate q.
-2, -1, 1, 2
Let z(s) be the second derivative of 4*s**2 - 1/10*s**5 + 5/6*s**4 - 67*s + 0 - 8/3*s**3. Factor z(p).
-2*(p - 2)**2*(p - 1)
Suppose -2*z - 4*w = -38, 28*z - w = 30*z - 26. Factor 28*m**5 - z - m**4 + 11 - 27*m**5.
m**4*(m - 1)
Let m(s) be the first derivative of 2*s**5/35 + 377*s**4/14 + 752*s**3/21 - 5193. Factor m(f).
2*f**2*(f + 1)*(f + 376)/7
Suppose 12*a - 38*a + 67418 = 0. Let w = a + -7699/3. Factor -w*h**2 + 0 - 32/3*h - 2*h**4 + 46/3*h**3.
-2*h*(h - 4)**2*(3*h + 1)/3
Suppose -237*u + 228*u = 0. Suppose -4*t + 2 = -3*b, 5*b - 9 - 5 = -2*t. Factor -3*x**2 - 6 + u + x + 4*x**t.
(x - 2)*(x + 3)
Let m be 10/4*80288/65. Suppose -m*u = -3098*u + 20. Factor -2/17*n**u - 392/17 + 56/17*n.
-2*(n - 14)**2/17
Let u(i) be the second derivative of i**4/8 + 23*i**3/4 + 195*i**2/2 + i + 402. Factor u(n).
3*(n + 10)*(n + 13)/2
Suppose 3*u - 9 = -14*d, -109 = 5*u - 2*d - 124. Factor 9*v**u - 215/4*v - 25 - 21*v**2.
(v - 4)*(6*v + 5)**2/4
Let p(r) be the second derivative of -11/18*r**3 - 1/36*r**4 + 0*r**2 - 40 + 2*r. What is i in p(i) = 0?
-11, 0
Let k = 495/7 + -9879/140. Let w(o) be the first derivative of 0*o - 1/4*o**3 + 0*o**4 + k*o**5 + 6 + 0*o**2. Let w(i) = 0. What is i?
-1, 0, 1
Let k(z) be the first derivative of 7*z**6/3 - 74*z**5/5 + 33*z**4 - 88*z**3/3 + 8*z**2 + 781. What is y in k(y) = 0?
0, 2/7, 1, 2
Let w(k) be the first derivative of -4*k**6/15 + 6*k**5/5 + 4*k**4/5 - 2*k**3 - 4*k**2/5 + 803. Solve w(v) = 0 for v.
-1, -1/4, 0, 1, 4
Suppose -13*b + 253 + 46 = 0. Suppose -z - a + b = a, 0 = z + 5*a - 20. Factor z + 2*x - 2*x**2 - 25 - 10*x**3 - 6*x**4.
-2*x*(x + 1)**2*(3*x - 1)
Let g(t) be the third derivative of 0 + 0*t**3 + 0*t - 60*t**2 + 1/50*t**6 - 2/525*t**7 + 0*t**4 - 2/75*t**5. Factor g(h).
-4*h**2*(h - 2)*(h - 1)/5
Factor 56*p - 11*p**2 - 40 - 17*p**2 + p**3 - 12 + 11*p**2.
(p - 13)*(p - 2)**2
Let l(h) be the first derivative of h**4/6 + h**3 + 29*h - 109. Let i(o) be the first derivative of l(o). Let i(g) = 0. Calculate g.
-3, 0
Factor -7*n**3 - 4203*n + 278*n**2 + 10*n**3 + 409*n**2 + 6345.
3*(n - 3)**2*(n + 235)
Let r(x) be the first derivative of -8/21*x**6 + 32/3*x**3 - 4/7*x**5 + 17 + 31/7*x**4 + 0*x + 24/7*x**2. Suppose r(l) = 0. What is l?
-2, -1/4, 0, 3
Let g(d) = 3*d + 159. Let l be g(-45). Solve -l*w**2 + 13*w**3 - 4*w**4 + 6*w**2 - w**3 + 18*w**2 = 0.
0, 3
Suppose 2*s - 5*v - 7 = -8*v, 0 = 2*s - 4*v. Let -248 - 279 + 587 - 108*w + 29*w**s - 3*w**4 + 22*w**2 = 0. What is w?
-5, 1, 2
Let s be 38218/(-2758) + 1/(3/42). Suppose 5*w - 10 = -0*f - 3*f, w + 3*f - 2 = 0. Factor 0 + 0*p + s*p**w + 1/7*p**3.
p**2*(p + 1)/7
Suppose 2 = -4*h - k + 201, -3*h + 168 = -3*k. Let 5*f - 5*f**3 - 42*f**4 + 5 - 15*f**2 - h*f**4 + 98*f**4 + 5 = 0. Calculate f.
-1, 1, 2
Let s = 866 + -349. Let o = 521 - s. Factor 6/5 + 2/5*z**o - 4/5*z**3 + 4/5*z - 8/5*z**2.
2*(z - 3)*(z - 1)*(z + 1)**2/5
Suppose 3*c = k + 6, 3*k + 2*c = -18 + 33. Let l(v) be the first derivative of 5/11*v**2 - 2/33*v**k + 15 - 12/11*v. Factor l(t).
-2*(t - 3)*(t - 2)/11
Let w be 57/18 - 13/78. Let z(y) be the third derivative of 1/8*y**4 - 1/10*y**5 + 0 + 0*y**w + 1/40*y**6 + 0*y + 15*y**2. Suppose z(j) = 0. What is j?
0, 1
Let z(p) be the second derivative of -1536*p**2 + 1 - 1/10*p**6 - 60*p**4 - 448*p**3 - 39/10*p**5 - 13*p. Suppose z(y) = 0. What is y?
-8, -2
Factor 0*v - 5382 + 5376 + 7*v**2 - v**4 + 5*v**3 - 5*v.
-(v - 6)*(v - 1)*(v + 1)**2
Let k(t) = -t**2 - 21*t - 102. Let j be k(-8). Find c such that -18*c**2 + c**4 - 17 + 6*c - 31 + 3*c**4 - 8*c**3 + 74*c - 10*c**j = 0.
-3, 1, 2
Suppose 22*a - 60 = -16. Factor -k**2 + 3*k**a - 7*k**2 - 512*k + 82*k - 9245.
-5*(k + 43)**2
Let x(u) = u**3 - 7*u**2 - u + 11. Let n be x(7). Suppose -2*o + n = 0, 3*w + 3*o = -2*o + 28. Factor 2*c - w - 22*c**2 + 21*c**2 + 3*c.
-(c - 3)*(c - 2)
Let a(o) be the second derivative of o**6/4 - 201*o**5/40 - 51*o**4/2 - 17*o**3 + 48*o**2 - 138*o + 1. Determine b, given that a(b) = 0.
-2, -1, 2/5, 16
Suppose 3*c - 4*w - 69 = 0, 17 = 2*c - 5*w - 22. Let v be ((-20)/25 - -2)*20/c. Solve -2/3*o**2 - 2/9*o**3 + v + 0*o = 0.
-2, 1
Let l = -51 - -56. Let h be 2*(1050/4)/l. Factor -h*w**5 - 2*w + 2*w + 12*w**3 - 79*w**4 + 67*w**4.
-3*w**3*(5*w + 2)*(7*w - 2)
Suppose -4*q + 284 = -2*o - 52, -180 = -2*q + 4*o. What is i in -204*i**4 + 615*i + 988*i**4 - 62 + 742*i - q - 13*i - 3100*i**2 - 336*i**3 = 0?
-2, 3/14, 2
Let v(d) = 5*d**4 - 60*d**3 + 324*d**2 - 632*d + 414. Let x(i) = 7*i**4 - 61*i**3 + 324*i**2 - 632*i + 413. Let t(r) = -3*v(r) + 2*x(r). Factor t(j).
-(j - 52)*(j - 2)**3
Factor 1120/13 + 2/13*w**2 - 12*w.
2*(w - 70)*(w - 8)/13
Suppose 554*u - 22 = -22. Factor 2/3*d**3 + 0 + u*d + 16/3*d**2.
2*d**2*(d + 8)/3
Let 45*o - 335*o**2 + 2*o**3 - 67*o**2 - 682*o + 224*o**2 - 1147*o + 1960 = 0. What is o?
-10, 1, 98
Let i be (-20)/(3 + 1 + -8). Let r be 15/(i - 2) - 584/120. Factor 0 - 4/15*h - r*h**2.
-2*h*(h + 2)/15
Let o(s) = 7*s**2 - 20*s - 40. Let t(i) = 19*i**2 - 61*i - 121. Suppose -3*w + 25 = -4*q, -41*w + 2 = q - 39*w. Let g(c) = q*t(c) + 11*o(c). Factor g(x).
(x + 2)*(x + 22)
Suppose 12*y + 25*y = 10*y + 405. Factor -21/2*b + 3/2*b**2 + y.
3*(b - 5)*(b - 2)/2
Let p(z) be the third derivative of -z**5/210 - 31*z**4/7 - 54*z**2 - 54*z + 1. Suppose p(y) = 0. Calculate y.
-372, 0
Let q(b) be the first derivative of -b**6/6 + 39*b**5/5 + 3*b**4/4 - 115*b**3/3 - 39*b**2 + 1982. Factor q(t).
-t*(t - 39)*(t - 2)*(t + 1)**2
Let x(c) = -c**4 - 8*c**3 + 565*c**2 + 2399*c - 2945. Let r(l) = 3*l**3 - 282*l**2 - 1200*l + 1473. Let w(p) = -5*r(p) - 3*x(p). Factor w(t).
3*(t - 10)*(t - 1)*(t + 7)**2
Let z be (-32625)/825*(-2)/14. Let m = z + -37/7. Factor 2/11*b - 2/11 + 2/11*b**5 - 2/11*b**4 + 4/11*b**2 - m*b**3.
2*(b - 1)**3*(b + 1)**2/11
Let -25/2*o**2 - 61/4*o - 5/4*o**4 + 31/2*o**3 - 1/4*o**5 + 55/4 = 0. What is o?
-11, -1, 1, 5
Let r(x) be the third derivative of 8/3*x**3 + 0*x - 226*x**2 + 0 + 1/30*x**6 + 19/12*x**4 + 9/20*x**5 - 1/210*x**7. Factor r(n).
-(n - 8)*(n + 1)**2*(n + 2)
Let h(t) be the second derivative of -1 + 9/10*t**5 - 1/10*t**6 + 4*t**3 + 0*t**2 - t - 3*t**4. Find o, given that h(o) = 0.
0, 2
Let j be (16 - -1 - -1)/(57176/24504). Factor 6/7*a**5 + 0*a - j*a**4 + 0*a**2 - 60/7*a**3 + 0.
6*a**3*(a - 10)*(a + 1)/7
Let p(u) be the third derivative of 0 + 0*u - 1/30*u**6 - 3/10*u**5 + 0*u**3 - 124*u**2 + 3/2*u**4 + 1/105*u**7. Solve p(s) = 0 for s.
-3, 0, 2, 3
Let i(m) be the second derivative of -87/50*m**5 + 36/5*m**3 + 1/10*m**6 + 0 + 94*m + 39/5*m**4 + 0*m**2. Factor i(v).
3*v*(v - 6)**2*(5*v + 2)/5
Let s(x) be the first derivative of x**7/280 + x**6/20 - 9*x**5/40 - 7*x**4/4 + 32*x**3 - 136. Let v(k) be the third derivative of s(k). Factor v(w).
3*(w - 2)*(w + 1)*(w + 7)
Let m = -10115 - -10147. Let g(o) be the second derivative of 1/84*o**4 - 5/7*o**2 + m*o + 0 - 1/14*o**3. Factor g(j).
(j - 5)*(j + 2)/7
Let i be 2 + -3 + 3 + 1. Let w(f) = -4*f**3 + 657*f**2 + 494*f + 167. Let o be w(165). Solve 2/3*t**5 - 2*t**4 + 0*t + 0 + 8/3*t**o + 0*t**i = 0 for t.
-1, 0, 2
Let g(u) be the first derivative of u**3/4 + 639*u**2/8 + 945*u/2 - 5154. Let g(t) = 0. Calculate t.
-210, -3
Let w(p) = -4*p**3 - 25*p**2 + 82*p - 28. Let f(a) = a**3 - 7*a + 1. Let b(j) = 5*f(j) + w(j). Factor b(l).
(l - 23)*(l - 1)**2
Let c(z) be the first derivative of 181/8*z**4 - 85 - 7/12*z**6 - 34/5*z**5 + 0*z + 6*z**2 - 65/3*z**3. Find t such that c(t) = 0.
-12, 0, 2/7, 1
Let z(y) be the second derivative of 3*y + 0*y**2 + 0*y**3 - 11/195*y**6 + 0 + 1/39*y**4 + 9/130*y**5. Determine g so that z(g) = 0.
-2/11, 0, 1
Let s(r) be the first derivative of r**3 - 1/32*r**4 + 8 + 51/16*r**2 + 13/4*r. Factor s(l).
-(l - 26)*(l + 1)**2/8
Let k be ((-10 - -30) + -2)*(-6)/(-3). Let d(x) be the first derivative of -6*x**2 - 1/3*x**3 - k*x + 28. Factor d(a).
-(a + 6)**2
Find c such that -129 - 2222 - 3*c**2 - 2352*c - 2285 - 56 = 0.
-782, -2
Factor 138853062/19 + 2466/19*q**2 + 1013526/19*q + 2/19*q**3.
2*(q + 411)**3/19
Let u(d) be the second derivative of 0*d**2 + 2*d + 4/231*d**7 - 14/55*d**5 + 3/22*d**4 + 3 - 1/5*d**6 + 0*d**
|
{
"pile_set_name": "DM Mathematics"
}
|
rest 100000.
0
What is -0.002081 rounded to 4 dps?
-0.0021
Round -0.0002025 to 4 decimal places.
-0.0002
What is 464700 rounded to the nearest one hundred thousand?
500000
Round 0.000000567 to 7 decimal places.
0.0000006
What is 0.53262 rounded to two decimal places?
0.53
What is -779 rounded to the nearest one hundred?
-800
Round -0.454 to one decimal place.
-0.5
What is 10513.1 rounded to the nearest 100?
10500
Round 432620 to the nearest one hundred thousand.
400000
Round 83300 to the nearest 10000.
80000
What is 1994400 rounded to the nearest one hundred thousand?
2000000
Round -0.0000009715 to seven decimal places.
-0.000001
Round 12.177 to two decimal places.
12.18
What is -358.07 rounded to the nearest one hundred?
-400
Round -6425 to the nearest 100.
-6400
Round -0.000000342 to 6 decimal places.
0
What is -1423.9 rounded to the nearest ten?
-1420
Round 4.2701 to 1 decimal place.
4.3
What is -801250 rounded to the nearest ten thousand?
-800000
Round -40.8598 to one dp.
-40.9
Round 394250 to the nearest 1000.
394000
Round 0.0000044285 to seven decimal places.
0.0000044
What is -0.00053369 rounded to 6 dps?
-0.000534
Round 1390 to the nearest one hundred.
1400
What is -3.0651 rounded to 1 dp?
-3.1
What is -0.000015883 rounded to six decimal places?
-0.000016
What is 2157 rounded to the nearest 1000?
2000
Round -0.00000969 to five dps.
-0.00001
Round 0.3429 to two dps.
0.34
Round -2948000 to the nearest 100000.
-2900000
Round 0.007868 to 3 dps.
0.008
What is 162900 rounded to the nearest 1000000?
0
Round -5.7928 to 2 decimal places.
-5.79
What is -17.452 rounded to the nearest ten?
-20
What is -171400 rounded to the nearest ten thousand?
-170000
Round 12.29 to the nearest 10.
10
What is 0.000783 rounded to four decimal places?
0.0008
Round 2.937 to one decimal place.
2.9
Round -0.150338 to two decimal places.
-0.15
What is 51580 rounded to the nearest one thousand?
52000
What is -0.00052 rounded to 2 decimal places?
0
Round 18.56 to the nearest 10.
20
Round -23467 to the nearest one hundred.
-23500
Round -8530000 to the nearest one hundred thousand.
-8500000
What is -0.00000013374 rounded to 7 dps?
-0.0000001
What is -0.000283 rounded to 5 dps?
-0.00028
Round -31300 to the nearest 10000.
-30000
Round -0.0000054928 to seven decimal places.
-0.0000055
Round -708.2 to the nearest 10.
-710
Round 4.1023 to 1 dp.
4.1
What is -0.00024522 rounded to six decimal places?
-0.000245
Round -0.9 to one decimal place.
-0.9
What is -0.001373 rounded to 3 dps?
-0.001
What is 0.0045056 rounded to 4 decimal places?
0.0045
What is 0.042376 rounded to 2 decimal places?
0.04
What is -67.605 rounded to the nearest ten?
-70
Round 0.00128844 to 4 decimal places.
0.0013
Round -0.0000003137 to seven decimal places.
-0.0000003
What is 543000 rounded to the nearest 100000?
500000
What is 0.00000057203 rounded to 7 decimal places?
0.0000006
Round 30760000 to the nearest 100000.
30800000
What is 0.0000006926 rounded to 7 decimal places?
0.0000007
What is -0.0013064 rounded to four dps?
-0.0013
Round 131960 to the nearest ten thousand.
130000
Round 22595.8 to the nearest 100.
22600
What is 3660000 rounded to the nearest one hundred thousand?
3700000
What is 0.00060552 rounded to 5 dps?
0.00061
Round 9409 to the nearest 100.
9400
What is -0.0003992 rounded to four decimal places?
-0.0004
Round -0.000000643 to 7 dps.
-0.0000006
Round 8026.82 to the nearest one hundred.
8000
What is -20.345 rounded to 1 decimal place?
-20.3
Round -0.0000013934 to 7 dps.
-0.0000014
Round -14751 to the nearest one hundred.
-14800
What is -1739.8 rounded to the nearest 10?
-1740
Round 0.01404 to 3 decimal places.
0.014
What is 34510 rounded to the nearest one hundred thousand?
0
What is 2296800 rounded to the nearest one million?
2000000
What is -0.0000033822 rounded to 6 dps?
-0.000003
What is 113.03 rounded to the nearest ten?
110
Round 0.00000161822 to seven dps.
0.0000016
Round 0.0000132919 to seven dps.
0.0000133
Round -735000 to the nearest 10000.
-740000
Round -636000 to the nearest 10000.
-640000
Round -0.00002204 to 6 decimal places.
-0.000022
What is 6724000 rounded to the nearest one million?
7000000
What is 40.64 rounded to the nearest 10?
40
Round -27291 to the nearest 1000.
-27000
Round 0.0006951 to 5 dps.
0.0007
What is 13689800 rounded to the nearest one million?
14000000
What is -425.7 rounded to the nearest 100?
-400
Round 1271000 to the nearest one hundred thousand.
1300000
What is -0.0002588 rounded to four decimal places?
-0.0003
Round 71.76 to the nearest integer.
72
Round -748.3 to the nearest 100.
-700
Round 195120 to the nearest one hundred thousand.
200000
Round -0.000030141 to five decimal places.
-0.00003
Round 136.21 to the nearest ten.
140
Round -0.000014547 to 6 decimal places.
-0.000015
What is 1.01017 rounded to two dps?
1.01
What is 760600 rounded to the nearest one hundred thousand?
800000
Round -0.002076 to four dps.
-0.0021
What is 257330 rounded to the nearest 1000?
257000
What is -0.0000122083 rounded to seven decimal places?
-0.0000122
Round 0.54412 to one dp.
0.5
What is -30504 rounded to the nearest one hundred?
-30500
What is -0.0003281 rounded to five dps?
-0.00033
What is -0.88415 rounded to two decimal places?
-0.88
What is -218430000 rounded to the nearest one million?
-218000000
What is -44860 rounded to the nearest one hundred thousand?
0
Round 0.003903 to 4 dps.
0.0039
Round 11580 to the nearest 1000.
12000
Round 199580 to the nearest 10000.
200000
What is 0.0348983 rounded to 4 decimal places?
0.0349
Round -399.2 to the nearest 100.
-400
What is -0.004659 rounded to three decimal places?
-0.005
What is 149.22 rounded to the nearest ten?
150
Round 24.98 to the nearest integer.
25
What is 0.073812 rounded to three decimal places?
0.074
What is -19.61 rounded to the nearest integer?
-20
What is 0.000103178 rounded to 6 dps?
0.000103
What is -48600 rounded to the nearest one thousand?
-49000
Round 0.000311 to four dps.
0.0003
Round 0.0003291 to 5 dps.
0.00033
Round -0.000019426 to seven dps.
-0.0000194
What is -0.000099246 rounded to 7 decimal places?
-0.0000992
What is -0.00346 rounded to two decimal places?
0
What is -161.649 rounded to the nearest 10?
-160
Round 114781000 to the nearest 1000000.
115000000
Round -1.935 to 1 decimal place.
-1.9
What is 0.000002689 rounded to 7 dps?
0.0000027
Round 2.5 to 0 dps.
3
Round -2.321 to 1 dp.
-2.3
Round -698.3 to the nearest ten.
-700
Round -0.0000001013 to 7 decimal places.
-0.0000001
What is 29208 rounded to the nearest one hundred?
29200
Round 55500000 to the nearest one million.
56000000
Round 0.00901 to two dps.
0.01
Round 0.00000260281 to seven decimal places.
0.0000026
What is -0.00000339 rounded to seven dps?
-0.0000034
What is -0.9362 rounded to 2 dps?
-0.94
What is 0.0057788 rounded to 4 decimal places?
0.0058
Round -8498000 to the nearest one hundred thousand.
-8500000
What is -0.00002144 rounded to five dps?
-0.00002
What is -0.00067566 rounded to six dps?
-0.000676
What is 3920000 rounded to the nearest 1000000?
4000000
What is 342900 rounded to the nearest ten thousand?
340000
Round -46.59 to the nearest 10.
-50
Round -2.3891 to 1 decimal place.
-2.4
Round -471350 to the nearest 100000.
-500000
Round 0.095698 to four dps.
0.0957
Round -13530000 to the nearest one million.
-14000000
Round -5.182 to one dp.
-5.2
What is -0.26089 rounded to two decimal places?
-0.26
What is 0.0000116 rounded to 5 decimal places?
0.00001
Round -0.00001081 to six dps.
-0.000011
Round -31079 to the nearest 1000.
-31000
Round -355440 to the nearest 100000.
-400000
What is -0.00059183 rounded to 5 decimal places?
-0.00059
Round 125730000 to the nearest one million.
126000000
Round -17.701 to the nearest integer.
-18
What is 0.0000003157 rounded to 7 decimal places?
0.0000003
Round 750.6 to the nearest ten.
750
Round 62.17 to the nearest 10.
60
What is -3875.02 rounded to the nearest one hundred?
-3900
Round 23650 to the nearest 10000.
20000
Round 3.2357 to one dp.
3.2
Round -0.4262 to one decimal place.
-0.4
Round -459.7 to the nearest one hundred.
-500
What is -0.012894 rounded to 4 decimal places?
-0.0129
Round -0.000416 to 5 decimal places.
-0.00042
Round 8.2 to 0 dps.
8
What is -0.0104521 rounded to five d
|
{
"pile_set_name": "DM Mathematics"
}
|
5? (a) 0.06 (b) -0.128 (c) -1 (d) -17884
a
What is the closest to -91 in 4, -3, 2, -3/46?
-3
Which is the closest to 681? (a) -2/11 (b) -6 (c) 2 (d) -22
c
Which is the closest to 2? (a) 2/3915 (b) 3/4 (c) 9 (d) 5
b
Which is the closest to 0.16? (a) -10/133 (b) 0.2 (c) -2/95
b
What is the closest to 0 in 0.1, 1/3, -0.02, 1.93, -1.48, -3?
-0.02
What is the closest to 2/3 in 2/885, -10670, 0.2, -2/11?
0.2
Which is the closest to -2/7? (a) 1 (b) -0.0403 (c) -7 (d) 3/4 (e) -3/7
e
What is the nearest to 5 in 1/5, 0.5769, 2/13, -417?
0.5769
Which is the nearest to -29.7? (a) 1/5 (b) 4/7 (c) 1088
a
What is the closest to -1/3 in 0.4, 2/185, 16/9, -4/7, 1, 0.1?
-4/7
Which is the nearest to -0.25? (a) 3 (b) 3/8 (c) -321 (d) 6
b
Which is the closest to 0.3? (a) 33 (b) -3 (c) -6 (d) 0.1 (e) 1/131
d
What is the nearest to 2/5 in 3704, 2/7, -54/7?
2/7
What is the nearest to 2 in 0, -1/5, -93579?
0
What is the closest to 0 in 3085, -2, -11.48?
-2
Which is the closest to -3.589? (a) -0.4 (b) 0 (c) 3/2 (d) -8/11 (e) -0.1
d
Which is the nearest to 19? (a) -3/47 (b) 46 (c) -0.4
a
What is the closest to 1/3 in 4, -1/3, 5, -5, 1/4, 1637651?
1/4
What is the nearest to 126/31 in 2, 0.01, -0.5, 3, -1?
3
What is the nearest to 0.5 in -1/2, 83909, 4, 5, -1, -1/5?
-1/5
Which is the nearest to 22? (a) 7 (b) -26 (c) 4/3 (d) -0.0232
a
What is the nearest to 1 in 20, -0.2, -10.1, 5, 0.5?
0.5
Which is the closest to -2? (a) -1.35 (b) 453 (c) 3 (d) -5
a
Which is the closest to -1/4? (a) 0.1 (b) 2/19 (c) 17 (d) 4341
a
Which is the closest to -0.04? (a) -0.007 (b) 1/5 (c) -82 (d) -50
a
Which is the nearest to -1653? (a) -4 (b) 109 (c) 1 (d) 6
a
What is the closest to 489 in 1/7, -2/7, 1/6, 0.131, 1?
1
What is the closest to -3 in 2/17, -2, -2/11, 3, -46/11, 1/38?
-2
What is the nearest to 0.1 in 0.2801, 1/3, -62?
0.2801
What is the nearest to -1 in -0.0467, -8/25, -6/5?
-6/5
What is the nearest to 348 in -0.3, 1/5, -66/7, -1, 3?
3
Which is the nearest to -0.1? (a) 43 (b) 3 (c) -62
b
What is the closest to 0.063714 in 2/5, -5, 3, 10, -0.5?
2/5
Which is the closest to -0.1? (a) 28745 (b) -2/3 (c) 4/5
b
Which is the closest to -0.1? (a) 0.2 (b) -197 (c) -0.5 (d) -7323
a
Which is the closest to -1? (a) -0.1 (b) -305398 (c) 5/4
a
Which is the nearest to -3/1009? (a) -2.1 (b) -121 (c) 4
a
What is the closest to 0.3 in -3, 3/56, -137.4?
3/56
Which is the closest to 0? (a) -109434 (b) -0.09 (c) -0.4
b
What is the nearest to 0 in -503/10, -2, 33?
-2
Which is the closest to 779? (a) 2/7 (b) 8 (c) -0.1 (d) 109
d
Which is the closest to -76145? (a) 0.2 (b) -1 (c) -5 (d) 4.1 (e) 5
c
Which is the nearest to 0.2? (a) 3 (b) 2188 (c) -0.1
c
Which is the nearest to 2.69? (a) 6/61 (b) 27 (c) -4
a
Which is the nearest to -0.08? (a) 0.028 (b) 2/89 (c) 2/11 (d) 3 (e) 0.3 (f) -5
b
Which is the closest to -782? (a) -5 (b) -0.2 (c) 2/7 (d) -4 (e) -2/49 (f) -2
a
What is the nearest to 2 in -4, 13363, -0.3, 2/5, -2/7?
2/5
What is the nearest to -5.27 in -1, 0.5, 6, -5/2, -3?
-3
Which is the nearest to 4? (a) 0 (b) -8716.2 (c) 4/5 (d) 4
d
What is the closest to 1978 in 0.07, -6, 0.041?
0.07
What is the nearest to 3 in 1110, 0.15, 27?
0.15
What is the nearest to -1629 in 5, -7078, 17, -5/4?
-5/4
Which is the nearest to 1770? (a) 0.2 (b) 0.5 (c) -0.035 (d) 2 (e) 0.8 (f) -3
d
What is the nearest to 2 in -4, 3, 2/65, 90, 4?
3
Which is the nearest to -21? (a) 2/13 (b) 45/4 (c) 16 (d) 0.2 (e) 2 (f) -3
f
What is the closest to 1 in 157, 3, 3/7, 181?
3/7
What is the nearest to 3/89 in -4, 5, 56, -6, -3/2, -2?
-3/2
Which is the closest to 1.271? (a) 0.5 (b) -6 (c) 0.2 (d) -0.1 (e) 0 (f) 5
a
What is the nearest to -0.216 in 1.2, -0.213, -26?
-0.213
What is the closest to 7/8 in -1/14, 1, 259/3, -8?
1
What is the closest to 0.2 in -150/11, -0.1, 5, -1, -723?
-0.1
What is the closest to 0.8 in 1, 2.97, 7, 2, -2?
1
Which is the nearest to -3012? (a) -5 (b) 1/12 (c) -852
c
Which is the nearest to 76? (a) -1 (b) 7329 (c) -3/7
c
What is the closest to 1 in 18/5, 2/7, -276?
2/7
Which is the nearest to 2.2? (a) -3 (b) 384 (c) -5 (d) 48
a
Which is the nearest to -133? (a) 4 (b) -145 (c) -3 (d) 0.9 (e) -2/7
b
Which is the closest to 55/12? (a) 6 (b) -2/5 (c) 2/3 (d) 0.4 (e) -12/29
a
Which is the nearest to 11/5? (a) 0.1 (b) -4 (c) 0.18 (d) -2
c
Which is the nearest to -115325? (a) -5 (b) -2/63 (c) 0
a
What is the nearest to 3/18728 in -2/5, -588, -0.03?
-0.03
What is the closest to -42 in -7, 1/16, -0.3, -2/3?
-7
Which is the nearest to 1? (a) 17 (b) 3 (c) 65 (d) -4 (e) 184 (f) 2/23
f
What is the nearest to 14 in -5, -253, -2.7, 6, 0.2?
6
Which is the nearest to 1/4? (a) -10.75 (b) 61 (c) 2/9
c
Which is the nearest to 68749? (a) -2 (b) 12 (c) -43
b
What is the nearest to -61 in 1.5, 0.2, 2/7, -6368, -3?
-3
What is the closest to 3/4 in 523, 1/12, 31/2, 1/4, -5?
1/4
What is the closest to 1 in 5/3, 0.2, -7, 134, -1.16?
5/3
Which is the nearest to 0.1? (a) -5 (b) -0.8 (c) 3 (d) 33/7 (e) 0.6
e
Which is the nearest to 0.11? (a) 13 (b) 0.2 (c) -0.7 (d) -0.3 (e) 3/7 (f) -4/33
b
Which is the nearest to 7? (a) 2/5 (b) 162 (c) 169
a
Which is the nearest to 2? (a) -7/3 (b) 1.9 (c) 0.2 (d) 0.88
b
What is the nearest to 1/7 in -1.13, 0.1, 15/14, 111?
0.1
What is the nearest to -6/5 in 0.11, 3, 2/23, 622, -11?
2/23
Which is the closest to 0.3? (a) 75216.6 (b) 0.1 (c) 2/5 (d) -2 (e) 0.04
c
Which is the nearest to 0? (a) 0 (b) -2/15 (c) 46/3 (d) 9
a
Which is the closest to 19? (a) -159 (b) 0.1402 (c) 3
c
Which is the closest to 0? (a) -0.02 (b) 4 (c) -1293.965 (d) 1.1
a
Which is the closest to 5? (a) -153 (b) 1/21891 (c) 2/13
c
What is the closest to 6 in 2/7, 33/4, 27, 0.14?
33/4
What is the closest to -14 in 1/10, -3, -2/9, -4, -0.006?
-4
What is the closest to 1 in -0.04, -1.1354, -7, -13, -3/4, 4?
-0.04
What is the closest to 0.2 in 2/11, 1, -0.0999, -6, 3/7?
2/11
What is the closest to 2 in -16, 1, -4/103, 0.044?
1
Which is the nearest to -2/3? (a) -0.1 (b) -46 (c) -67827 (d) 3
a
What is the nearest to 5/11 in 1, -0.9, -0.2, 2/409, 0.4, 3?
0.4
Which is the closest to 0.1? (a) 0.077 (b) -821 (c) -4 (d) -12
a
What is the nearest to 385 in 0.01, 0, -0.44, -1.4?
0.01
Which is the closest to 21/2? (a) 2 (b) -3/10 (c) -4 (d) -7 (e) 0.1
a
Which is the closest to 181991? (a) 0 (b) 0.5 (c) -20 (d) -1/2
b
Which is the closest to 389? (a) -6 (b) -5 (c) -4/201 (d) 0.2 (e) -1
d
What is the closest to 3.4 in -35081, 2/9, 0?
2/9
What is the nearest to 37 in -0.6, -4, 1, -2/7, 17, -1.8?
17
Which is the nearest to -1/2? (a) 2 (b) 0.5 (c) 1/5 (d) 16/7 (e) -4/457
e
Which is the nearest to 1069509? (a) 0.1 (b) -4 (c) -5.8
a
Which is the closest to -13? (a) 14.7 (b) -0.12 (c) 56
b
Which is the nearest to -5? (a) 1/20 (b) -2/55 (c) -264
b
Which is the nearest to 0? (a) 4/3 (b) -23 (c) -7 (d) -10 (e) 0
e
What is the closest to 0 in -22036159/4, -0.4, 2?
-0.4
Which is the nearest to 7? (a) 1 (b) 0.2 (c) -2788
a
What is the closest to 1 in 4358625, -0.3, 2?
2
What is the nearest to 1/254 in -19, 992, -2/3, -2/13?
-2/13
Which is the nearest to -0.02? (a) 1/57 (b) -0.06 (c) -15 (d) -0.4 (e) 1 (f) -6
a
What is the closest to -2604 in -3, -0.5, 0.3, -428?
-428
What is the nearest to 0.27 in -14, -1, 2.2, 0.5, -36, 0?
0.5
Which is the nearest to -6? (a) -2/3 (b) 391.3 (c) -0.3 (d) 39
a
Which is the closest to -0.3? (a) 386 (b) 4 (c) 747
b
Which is the closest to 9? (a) 68 (b) -80 (c) 0.2 (d) 0.5 (e) -4
d
What is the nearest to 3/10 in 2/5, 458, -29, -10?
2/5
What is the nearest to 37 in 1/28, -49, -27?
1/28
Which is the closest to -1? (a) -4 (b) -4/7 (c) 0.3 (d) 26.4 (e) 0.1 (f) 5
b
What is the nearest to 19.9 in 2/5, 4, 1, 21, -5?
21
Which is the nearest to 5? (a) 1.464 (b) 126 (c) 4
c
Which is the nearest to 16? (a) 16 (b) -14 (c) 2 (d) 36
a
Which is the closest to 0? (a) 13 (b) -5 (c) 0.4 (d) 3/4 (e) 1424 (f) -4
c
Which is the closest to 2/7? (a) -8/7 (b) -0.0007 (c) -3 (d) 1/5 (e) 29
d
What is the nearest to -3 in 6, -0.1, 0.4, -1.52?
-1.52
Which is the closest to 0? (a
|
{
"pile_set_name": "DM Mathematics"
}
|
y = -3*f, -3*f + a = -2*d - 5 for d.
3
Suppose 2*v + 4*v - 150 = 0. Solve -2*m + c - v = 3*m, m + 4*c = -5 for m.
-5
Suppose 5*v - 65 + 20 = 0. Let y = 3 + -3. Suppose -4*b = -y*b - 8. Solve -b*n + s = -0 - 3, -5*n + v = -s for n.
2
Let o = -4 - -8. Solve o*w = 3*d - 5*d - 18, w - 8 = 2*d for w.
-2
Let n = -17 - -17. Solve -v = n, 4*b - 4*v = 3*b + 5 for b.
5
Let v(z) be the third derivative of -z**4/24 + 11*z**3/6 - 6*z**2. Let q be v(7). Solve -f = -4*u - 20, 0 = -5*u - q*f - f - 25 for u.
-5
Suppose -3*b - 3*k = b - 93, -3*b + 5*k + 48 = 0. Solve 9 = -3*h + i, 3*i + b = -h - 2*h for h.
-4
Let g = 3 + 2. Let a(n) = 5*n - 1. Let u be a(4). Solve 2*f - g*f - u = 2*x, -18 = 3*x + f for x.
-5
Let m(y) = -7*y - 13. Let u be m(-9). Suppose 5*r + n + u = -n, -4*r = -3*n + 17. Let t = r - -11. Solve x + 9 = 8*d - 3*d, t*x + 12 = 0 for d.
1
Suppose 5*t = 3*t. Let y be -2 + t + 15 + 3. Solve 2*x = 3*z - 5*z, -5*x - z + y = 0 for x.
4
Suppose 2*s - 1 - 1 = 0. Let z be (-6)/(-9)*3*s. Let x = 21 + -17. Solve -3*l + 5*q + 13 = -1, -20 = z*l + x*q for l.
-2
Suppose l + 5 - 4 = 0. Let u be (-3 - l - -1) + 4. Solve u*g - 5*g = 4*s, 5*s - 5*g + 15 = 0 for s.
-1
Suppose -25 = -5*c, -9 = -m + c + 4. Let f = -2 + m. Solve -w + 3*v - f = -2*v, 3*v = -3*w + 24 for w.
4
Suppose 0 = 2*l - 2*n + 2 + 4, -5*l = 3*n - 25. Suppose 5*c - 2*c + 2*x - l = 0, 4*c - 5*x - 18 = 0. Solve -5*s + 10*s - 5*m = -20, c*m = 4*s + 14 for s.
-3
Let n(v) = -2*v + 5. Let y be n(8). Let x(q) = -q**2 - 12*q - 7. Let w be x(y). Solve -2*t + s + 2 = w, -19 = t - 5*s for t.
1
Let j be 40/30*(-6)/(-4). Solve 2*h + 2*l - 7 = -1, j*l = 3*h + 11 for h.
-1
Let y be (-70)/4*8/(-10). Suppose 2*s - y = -4*l + 18, -4*s = -3*l - 64. Let h(n) = -n**3 + 2*n - 1. Let d be h(-2). Solve -5 = -a, -d*j - 3*a + s = 2*a for j.
-3
Let l(w) = -w**3 + 6*w**2 + 2*w - 6. Let c be l(6). Let z = -4 + c. Let r be ((-9)/15)/(z/(-10)). Solve -v + 1 = -4*j + 17, -2*v = r*j - 23 for v.
4
Suppose 3*i + i = 0. Solve -2*z + 5*z = 4*h + 17, -z - 1 = i for h.
-5
Let t(m) = m**3 - 2*m**2 + 3*m - 1. Suppose -c = 4 - 0. Let v be 1/((6/(-3))/c). Let o be t(v). Solve -i - 2*u = i - 2, o*u = -2*i + 5 for i.
0
Let i(n) = n**2 - 4. Let f be i(3). Solve -1 + 3 = 4*m - f*h, 3*h - 12 = -2*m for m.
3
Let s(i) = 6*i + 1 - 5*i**3 - 4*i + 0. Let u be s(-1). Solve -4*f - u*v = 28, 2*f + 4*v + 5 = 5*v for f.
-4
Let t = 0 + 2. Let f be t + (-1 + -1 - -2). Suppose -y + 4 + f = 0. Solve -2*x - 10 = -y*k + k, -2*x - 2*k = -18 for x.
5
Let a = -4 - -8. Suppose 4 + 8 = a*w. Suppose c + w*c = 0. Solve -k = k + 3*n - 5, -2*k - 4*n + 10 = c for k.
-5
Let h(s) = 4*s + 29. Let l be h(-6). Solve -4*g + l*b + 22 = 0, 4*g - 8 = 2*b + 8 for g.
3
Let u = 6 + -1. Let t = -2 + u. Solve -7 = t*k + 2, 3*g = -2*k for g.
2
Suppose -4*q = -3*z - 1, 2*q - 2 - 21 = -3*z. Solve i = 2*l - 6, 10*i - z*i + 12 = 4*l for l.
3
Let h = 82 + -80. Solve 4*r + 32 = 4*f, h*f + 0*r + 3*r - 1 = 0 for f.
5
Suppose -12*p + 5*p + 91 = 0. Solve c - 5*o = 19, -p = 2*c - c + 3*o for c.
-1
Let w be 1 + -3 + -6*1. Let u = w - -12. Solve -u*t = -4*x - 2*t + 6, 0 = 5*x - t for x.
-1
Suppose 5*m = -5 + 25. Solve 8 = n - l, 5*l + 24 = m for n.
4
Let z(d) = -d**3 + 2*d**2 - 3*d + 6. Let w be z(2). Solve w*g + g = -4*r - 2, -6 = 3*g - 3*r for g.
-2
Let m(i) = -i**2 - 2*i + 8. Let g be m(-4). Solve g*u + 2*u + 4 = -2*n, 0 = -4*u + 4*n + 32 for u.
3
Let h = -4 + 6. Solve 2 = 2*y - h*v, 2*v + 3 = 5*y + 1 for y.
0
Let b(o) = o**3 + 5*o**2 - o - 1. Let t be b(-5). Suppose t*m + m = 0. Suppose -44 = -m*i - 4*i. Solve -3*f - f = 2*z - 4, -3*f + 2*z - i = 0 for f.
-1
Suppose -2*z - 10 = -r - 1, -2*r + 5*z = -21. Suppose r*x = 6 + 6. Solve -j + x = 2*t, 0*j - 1 = -3*t - 4*j for t.
3
Let l = -3 + 6. Let r(t) = t**2 - 4. Let g be r(l). Solve m - 5*d = 9, 3*d - 5*d - g = m for m.
-1
Let f(w) = w**2 - 17*w + 61. Let y be f(12). Solve 3*m - y = 3*r - 7, 22 = -4*r - 2*m for r.
-3
Suppose -2*i + 4*i + 28 = 4*b, 0 = -4*b + i + 26. Let a = b + -5. Let h be a*-5*(-8)/20. Solve -5*f + 2 + 3 = h*l, 4*l + 23 = f for f.
3
Let w = 27 + -24. Solve -8*k - w*h + 23 = -3*k, 4*h - 4 = 0 for k.
4
Suppose 5*o + 1 = 16. Suppose -2*l = -o*w + 4, 0*l + 4 = w + 2*l. Solve -2*y + w*s + 16 = 0, -4*y + 7 = -s + 2*s for y.
3
Let t = -83 - -99. Solve -4*s = 4*j - t, -4*j + j + 3*s = -6 for j.
3
Let m be (6/(-9))/(4/(-24)). Let p be (-2)/(-3) + (-40)/(-3). Solve 2*i - 10 = -5*h, 5*h = i + p - m for h.
2
Suppose p + 3 = 2. Let s be p/3 - (-5)/(-3). Let v be 15 - (3 + 1*s). Solve v = -y - 4*d, 3*d = 3*y + 4*d - 2 for y.
2
Let f(q) = -q + 13. Let j be f(10). Suppose -d - j*w - 1 = -11, 0 = 2*d - 4*w. Solve a = 4*b - 0*b + 9, 6 = -5*b - d*a for b.
-2
Suppose 5 = -2*x - x - 2*u, 5*x - 5*u = -50. Let c(b) = -b - 3. Let l be c(x). Solve 28 = 4*n + 4*r, l*n - 19 = n - 4*r for n.
3
Let r(m) = -6*m - 1. Let v be r(-1). Solve -4*c + 24 = 2*a, -3*a + v = 3*c - 16 for a.
2
Let t(g) = g**3 + 8*g**2 - 2*g - 8. Let z be t(-8). Solve 4*f - 9 = 5*u + 8, 0 = 4*f + z for u.
-5
Let g be ((-15)/(-4))/((-15)/(-20)). Solve -5*q + 25 = g*s, 5*s - s = q + 15 for q.
1
Let w be (-40)/(-12)*6/5. Let k = -26 + 69. Suppose -4*a + k + 5 = 0. Solve w*i - a = -0*d + 2*d, -i = 5*d + 8 for i.
2
Let x be (-2)/(-7) - (-2 - (-38)/(-14)). Solve 4*f - 5*m = 4 + x, 0 = 5*m + 25 for f.
-4
Let j(v) = v**2 - 19*v - 15. Let p be j(20). Let k(o) = o + 25. Let c be k(0). Solve -3*n + 1 = -4*h - 15, p*h + c = 5*n for n.
4
Suppose 2*i + 0*j - 2*j - 14 = 0, -2*i = -4*j - 20. Solve p + i = -p - 2*y, -2*y = 3*p + 8 for p.
-4
Let h = 9 - 9. Solve -2*u - 13 = -4*r - 5, -3*u = h for r.
2
Suppose 0 = -0*t + 2*t - 18. Suppose -t = 2*q + h + 4*h, -2*q - 4*h = 6. Let n be 6*((-15)/(-6) + -2). Solve 3*g - q = -5*v, -g + n*v + 4 = 3 for g.
1
Let n(o) = o**3 + o - 7. Let u be n(2). Let h = -1 + 1. Solve t + u*f + 9 = 3, -4*f - 12 = h for t.
3
Let v(i) = -i**2 - 5*i + 10. Let m be v(-5). Suppose 2*y + 0*y - m = 0. Solve 4*u - 14 = -y*a, -2*u - a = -3*a + 2 for u.
1
Let t(c) be the second derivative of -c**4/12 + 7*c**3/6 + 4*c**2 + 2*c. Let w be t(6). Let l be 90/21 - 4/w. Solve -l*p = 2*x + 6, p - 3*x = -3*p - 1 for p.
-1
Let a(m) be the first derivative of -m**4/4 - 2*m**3 - 3*m**2 + 7. Let d be a(-5). Solve -2*t + d*t + 10 = -b, -4*t + 2*b = 0 for t.
-2
Let t be 65/(-6) - (-3)/(-18). Let p = -6 - t. Solve -p*s = -l + 18, 5*l + 14 + 0 = -s for l.
-2
Suppose 23 = 5*f - 5*r + 3*r, 0 = f - 2*r - 3. Let p = -3 + 5. Let u be (-1)/(-3) + 64/6. Solve -2*w - p + 13 = -3*c, -4*w - f*c - u = 0 for w.
1
Suppose -u + 18 = -0*u. Let s(v) = 7*v + 67. Let o be s(-9). Solve o*g - k = -3, -u = 4*g + 3*k - k for g.
-2
Let f be (-45)/75 + 3/5. Solve -u + q - 1 = f, 5*u = -q + 4*q - 13 for u.
-5
Let k(b) = 10*b + 5. Let j(z) = -z**2 - 50*z - 26. Let g(i) = 2*j(i) + 11*k(i). Let w be g(5). Solve -3*f = 2*u - 16, 2*f = -w*f + 20 for u.
2
Suppose 0 = 2*o + 1 - 7. Solve -n + o*n + 5*v - 21 = 0, 27 = 5*n + 4*v for n.
3
Let z(a) = a**2 - 7*a + 7. Let y be z(6). Let d be (-1)/((-4)/(128/y)). Solve 0*v = v + 2*m - 2, -5*v = -4*m + d for v.
-4
Suppose -4*z = -z. Solve -q + 3*m - 6 = z, m + 2 = -3*q - 6 for q.
-3
Let h be (-1 - -1) + -1 - -16. Let k(p) = 2*p**2 + p - 11. Let v be k(-3). Solve 5*w = h, 3 = -3*o - 0*w - v*w for o.
-5
Let u(m) = 3*m + 2. Suppose -2*p - 6 = 2*a, 4*a + 9 = 6*a - p. Let i be u(a). Solve -5*j - 5*g = -0*g - 20, 0 = 4*g - i for j.
2
Let j = 26 + -24. Solve -2*i = -2*v, 0*v = v - j*i for v.
0
Suppose -2*g + 60 = -3*c, 5*c - g + 2*g = -87. Let i be -1 + (-2)/4*c. Solve 4*d + 0 = -2*w + i, 5*d = -5*w + 10 for d.
2
Let p be 5/(-3)*-3 - 1. Solve -5*w = y + 29, 0*y + y = p*w + 16 for y.
-4
Suppose -3*u + 10*a - 3 = 5*a, 0 = 3*u + 4*a - 24. Let q = 7 - u. Solve 0 = 2*r + q*k - 4 - 2, -20 = 4*r - 2*k for r.
-3
Let m(q) = q**2 - 3*q - 2. Let k be m(4). Solve 2*b - 3*s - 21 = 0, -2*b - 4 = k*s - 0*s for b.
3
Let h be 1086/39 - (-8)/52. Suppose -33 = -4*m + 5*p, 0*m + 4*m + 7 = -3*p. Solve 3*k - h = -m*k - d, -4*k - d = -23 for k.
5
Suppose i + 34 = -4*a, 4*a = 2 - 22. Let x be 5/(3 + 40/i). Solve 5*k + 3*q + x = 5*q, -5*k + 4*q = 45 for k.
-5
Let o be ((-2)/(-3))/(6/36). Let d(n) = n - 1. Let b be d(0). Let v = b + o. Solve 2*u = -2*j - v + 5, -5*j = u + 11 for j.
-3
Let a = 39 + -19. Let f be (-4 + 0/(-2
|
{
"pile_set_name": "DM Mathematics"
}
|
ng order.
w, b, x
Suppose i + 6 = -2*i. Let l = 0.9 - 0.91. Let u = l - -0.01. Put i, u, 4 in descending order.
4, u, i
Let c be (1*(-5)/(-75))/(38/(-475)). Let o = 3.4 + 0.6. Let z = o + -3.8. Sort z, c, -1 in increasing order.
-1, c, z
Let g be ((-3)/(-4)*1)/((-14)/112). Put g, -3, 1 in ascending order.
g, -3, 1
Let t = 0 + -3. Let x(n) = -8*n + 132. Let v be x(16). Sort t, v, -1/7 in descending order.
v, -1/7, t
Let m be (-4*11/396)/(1/2). Sort m, 3, 94 in ascending order.
m, 3, 94
Let o(t) = -t - 2. Let z be o(-5). Let b(s) = -s**2 - 8*s + 4. Let c be b(-7). Let r = 151.7 + -147.7. Put z, c, r in descending order.
c, r, z
Let m be ((-5)/3)/(27/(-2187)). Put m, 0, 5 in decreasing order.
m, 5, 0
Suppose 0 = -m + 3 - 5. Let j(a) = -a. Let w be j(m). Let r = -39 - -38. Sort w, -4, r in decreasing order.
w, r, -4
Let n = 3.31 - 0.31. Let k = 1.4 - 0.8. Let d = 0.9 - k. Sort -2, n, d in ascending order.
-2, d, n
Let j = -3 - -1. Let w be (-9)/(-24) - 2 - j. Let u be (0 - -1)*-1 + -3 - (-798)/171. Put w, 0.2, u in descending order.
u, w, 0.2
Let j = -48 + 84. Let n = -27 + j. Put n, 0, 2 in decreasing order.
n, 2, 0
Let b be 2 - 4 - 18/(-3). Let c(g) = -g**2 - 6*g - 4. Let y be c(-5). Let t = 40 - 40. Sort b, y, t in descending order.
b, y, t
Let y = 85 - 82. Sort -15, -1, -5, y in increasing order.
-15, -5, -1, y
Let g = -127 - -126.9. Put -2/3, -6/5, 2/5, g in descending order.
2/5, g, -2/3, -6/5
Let t be (-42)/(-28)*(-12)/18. Sort t, 5, 0, -5 in increasing order.
-5, t, 0, 5
Let p = -14 + 12. Let f(c) = 3*c**2 - 44*c + 22. Let b be f(14). Let r = 3 + -1. Put p, r, b in increasing order.
b, p, r
Let o = -0.42 + 0.62. Sort -3, o, 8, -2/9 in decreasing order.
8, o, -2/9, -3
Suppose -16*c - 91 = 69. Put 1, c, 0.3 in decreasing order.
1, 0.3, c
Let v be 9/6*(-6 - (-11 + -3)). Put v, -3, 5, 2 in decreasing order.
v, 5, 2, -3
Let w be (-166)/(-8) - 5/(-20). Suppose 3*x - w + 7 = 2*a, -a = -5*x + 21. Let f(p) = p**2 - 7*p - 5. Let q be f(8). Sort a, 1, q.
a, 1, q
Let n = -121 + 121.51. Let v = n + -0.01. Sort v, -5, -2/15 in ascending order.
-5, -2/15, v
Let a be ((-2)/15)/(12/(-30)). Sort a, -2/3, -1 in increasing order.
-1, -2/3, a
Let l = 13 + -11. Suppose p - 18 = 3*u, 73 = l*p + 3*p + 2*u. Suppose -5*c = -0*c + p. Sort c, -0.5, 3 in decreasing order.
3, -0.5, c
Let k(y) = y**3 + y**2 - y + 3. Let d be k(-4). Let h = d - -42. Put -28, 5, h in increasing order.
-28, h, 5
Let a = 0.04 - -0.56. Let u = 833 - 832.7. Sort a, u, -4 in increasing order.
-4, u, a
Suppose -270 = 5*g - 335. Sort 0.5, g, -3 in ascending order.
-3, 0.5, g
Let n = 123 - 122. Suppose o = 4*o - 15. Sort n, o, -1/3, 3/7 in decreasing order.
o, n, 3/7, -1/3
Let n = 7 + -7. Let m be 138/33 - (4 + n). Sort m, 5, 1/3, -3 in ascending order.
-3, m, 1/3, 5
Let w = -46/27 - -10055/5886. Let z = 325/436 + w. Let a(d) = d**2 + 6*d - 5. Let h be a(-7). Sort z, 3/5, h in descending order.
h, z, 3/5
Let c = -1043 + 1046. Sort c, 5, -1, -91 in descending order.
5, c, -1, -91
Let i = 99 + -99.146. Let q = -0.046 - i. Put 0.5, -2/5, q in descending order.
0.5, q, -2/5
Let o be 1/2*(-3 - -1). Suppose 4*r + 3 = -1. Let l be 9/(3 - 0) - r. Put o, -4, l in decreasing order.
l, o, -4
Let h = 31/20 + -9/5. Let f = 6.182 - 0.182. Let j = 1.04 - -0.96. Sort f, j, h in descending order.
f, j, h
Let p be 0*(-3)/15 - -67. Let k = -62 + p. Sort 3, k, 4, 0 in ascending order.
0, 3, 4, k
Suppose 6 = -s + 7. Let c be -4 + (3 - (s + 2)). Sort c, 0, -10 in ascending order.
-10, c, 0
Suppose 173*b - 185*b + 108 = 0. Sort -4, -3, b, 2 in decreasing order.
b, 2, -3, -4
Let g = -18.88 + -0.12. Let p = g - -23. Put -4, 0.02, p in decreasing order.
p, 0.02, -4
Let t be ((-1)/(-1))/(15/(-45)). Let i(q) = -q**3 + 4*q - 5. Let w be i(-4). Put w, t, -1 in decreasing order.
w, -1, t
Let f = 0.09 - 0.59. Let l = -42 + 72. Let q = l - 30.2. Sort q, f, 0.2 in descending order.
0.2, q, f
Let l = -964.6 - -966. Let v = -0.2 + 0.2. Put v, l, -4/3 in increasing order.
-4/3, v, l
Let v = -25 - -26. Sort v, -1, 4 in descending order.
4, v, -1
Suppose -5*h = 5*y - 4 + 14, 0 = -3*y - 4*h - 7. Sort -3, y, -34 in ascending order.
-34, -3, y
Suppose 3*d - 2*s - 9 = 0, -5*d + 0*d - 4 = 3*s. Let i be 22/(-4)*(-272)/3740. Let g = -0.3 - -0.1. Put d, g, i in ascending order.
g, i, d
Let y = 4.73 - 4.33. Sort -15, -4, y.
-15, -4, y
Let r = 223 + -664/3. Sort 1/8, r, 1/2, -2 in increasing order.
-2, 1/8, 1/2, r
Let r(x) = -3*x - 3. Let p(m) = m + 1. Let o(u) = -8*p(u) - 3*r(u). Let s be o(-4). Let c(b) = -b**2 + 3*b - 1. Let g be c(4). Sort 3, s, g in decreasing order.
3, s, g
Suppose -2*v = 4*o + 364, 200 = -3*o - 3*v - 73. Let f = -83 - o. Let j(h) = h**3 - 2*h**2 - 2*h + 2. Let m be j(2). Sort 2, f, m in descending order.
f, 2, m
Let b = 0.084 - 0.114. Put 3/7, -0.4, b, 5 in descending order.
5, 3/7, b, -0.4
Let w(n) = -7*n - 26. Let d be 15/(-4) - (-11 - -5)/(-24). Let x be w(d). Let u = 13 + -8. Sort 4, x, u.
x, 4, u
Let j = 5 - 10. Let a = -33 - -51. Let b = 18 - a. Put j, 3, b in descending order.
3, b, j
Let y = 2 + 5. Suppose -c + 6 - y = 0. Sort 4, c, -4 in decreasing order.
4, c, -4
Let o be 4/(-1 - 35/(-25)). Let a be o/15*-3 - -1. Sort a, -5, 0 in ascending order.
-5, a, 0
Let a = 85 + -130. Let c = a + 47. Sort -0.3, -2/17, c, 0 in descending order.
c, 0, -2/17, -0.3
Let p(x) = 105*x - 842. Let o be p(8). Let r(v) = v**2 - 4*v. Let c be r(5). Sort o, 4, c.
o, 4, c
Let v be (-22)/8 + 6/8. Suppose 11*l - 5*l = 18. Let j be 4/12*-2 - 10/l. Sort j, 4, v in ascending order.
j, v, 4
Let k = 0.041 - 0.061. Put -0.3, 0, k, 0.5 in descending order.
0.5, 0, k, -0.3
Let i = -121 - -123. Let o = -3.093 - 0.007. Let l = o - -0.1. Sort l, 2/9, i in decreasing order.
i, 2/9, l
Let z be (-34)/51*(-3)/2. Sort -1, -5, -2, z in increasing order.
-5, -2, -1, z
Let a = -78775939/142796493 + -1345/78159. Let s = -581/16 + 454955/12528. Let g = a - s. Sort g, -1/7, -3 in decreasing order.
-1/7, g, -3
Let q = 2 - 9. Suppose 11*g - 53 = -31. Put 3, g, q in decreasing order.
3, g, q
Let q(x) = -x**3 - 5*x**2 + x + 6. Let o be q(-5). Let r be ((-4)/(-6))/((-12)/90). Let u be (-5)/25 - 1/r. Sort u, 2, o.
u, o, 2
Let r = -0.5 - -0.3. Let k(t) = -t**2 - 8*t + 10. Let n be k(1). Sort r, n, 2/7 in ascending order.
r, 2/7, n
Let d = -68 - -61.4. Let u = 2.6 + d. Sort 0.5, u, 2/3.
u, 0.5, 2/3
Let r be (-1)/(-11) + 20/22. Sort 7, 6, r in decreasing order.
7, 6, r
Let b = -78.6 + 77.6. Sort -3/4, 1/5, b, 30 in ascending order.
b, -3/4, 1/5, 30
Let v = 901 - 908. Sort 6, 2, v in descending order.
6, 2, v
Let v be (4 + (5892/(-1470) - 0))*1. Sort 2, -1, v in decreasing order.
2, v, -1
Let r(j) be the second derivative of 5*j**4/6 - j**2/2 + j. Let g be r(1). Let v be (-8)/10 + (-27)/(-15). Put g, 3, v in increasing order.
v, 3, g
Suppose 4*n = -5*i - 0 + 5, -n - 1 = -i. Suppose -4*q - 4*g + 17 - 5 = 0, 2*q = 2*g + 6. Sort -3, q, n in decreasing order.
q, n, -3
Suppose 7 = 23*l - 16. Put -58, -3, l in descending order.
l, -3, -58
Let b be 1/(-5) + 130/25. Let j be 4/(-1)*(-7)/(-28)*0. Put 4, -4, j, b in decreasing order.
b, 4, j, -4
Let c = 0.825 - 1.265. Put -2, -3, -0.3, c in increasing order.
-3, -2, c, -0.3
Let k(x) = x**3 - 7*x**2 - 9*x + 66. Let u be k(7). Suppose -h = -2, -3*g - h = -0*h + 7. Sort 6, g, u, 4.
g, u, 4, 6
Let k(v) = -7*v**2 - 3*v + 1. Let z be k(-2). Let x = 23 + z. Sort 3, -2, 4, x in ascending order.
-2, x, 3, 4
Suppose i = 3*i - 34. Suppose -z = 5*q - i, 0*q - 3*z - 13 = -q. Sort q, 1, -5 in increasing order.
-5, 1, q
Suppose 3*c + 14 + 7 = 0. Suppose 0 = -3*w - 4*f + 9, 2*w + 20*f - 18*f - 6 = 0. Put -1, 0, c, w in ascending order.
c, -1, 0, w
Let u(m) = 10*m**2 + 14*m - 1. Let f(g) = -9*g**2 - 13*g + 1. Let j(i) = 4*f(i) + 3*u(i). Let o be j(-2). Sort -2, 0, o in descending order.
0, -2, o
Let z = 7 + -2. Let k(l) = l**2 - 8*l + 12. Let d be k(z). Sort -5, 0, d, 9 in decreasing order.
9, 0, d, -5
Suppose -2*p + 3 = 1. Let v be (p - 0)/(1/2). Let u(s) = -s**2 + 125*s + 929. Let w be u(-7). Put w, v, 3 in decreasing order.
w, 3, v
Let q be 3 + (-1 - (-36)/(-16)). Let s be 22/55 + (-78)/(-5). Suppose -4*a - 10 = 5*d + s, a + 3*d + 10 = 0. Put a, 0.3, q in descending order.
0.3, q, a
Let t = 176 - 182. Sort 4, -1, t, -3.
t, -3, -1, 4
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
.
sqrt(11)/6
Simplify (-2*(sqrt(1377) + -1))**2 + 5*(1 + sqrt(1377)).
-27*sqrt(17) + 5517
Simplify (-1*sqrt(720) + -4)**2 - (3 + (0 + sqrt(720) - sqrt(720)) + sqrt(720) + sqrt(720))**2.
-2153 - 48*sqrt(5)
Simplify -6*(sqrt(171) + 1)**2.
-1032 - 36*sqrt(19)
Simplify (((sqrt(21) - (sqrt(3024) + -1*sqrt(3024) + sqrt(21))) + sqrt(21))/(sqrt(378)/sqrt(6)))**2.
1/3
Simplify sqrt(80)/(sqrt(490)*-1).
-2*sqrt(2)/7
Simplify ((5*(sqrt(104) - -2*sqrt(104) - sqrt(104)))/(-4*sqrt(288)))**2.
325/144
Simplify 5*2*(sqrt(13) + sqrt(13) + 2).
20 + 20*sqrt(13)
Simplify (6*((sqrt(48) - sqrt(48)*-1) + sqrt(48)))**2 + 3.
15555
Simplify (-1 + sqrt(13) + -5 + sqrt(13) + sqrt(624)/sqrt(3))**2.
-72*sqrt(13) + 504
Simplify -5*(sqrt(52) + -4).
-10*sqrt(13) + 20
Simplify sqrt(1331)*-2 - sqrt(1331) - sqrt(539)*-3.
-12*sqrt(11)
Simplify -4 + 2 + sqrt(1584)*2.
-2 + 24*sqrt(11)
Simplify ((sqrt(49)*2 - sqrt(49))*-3)/(sqrt(84)/(sqrt(12)*1)).
-3*sqrt(7)
Simplify (1*((sqrt(110) - (sqrt(110)*-3 + sqrt(110))) + sqrt(110)) - sqrt(110))/(sqrt(10) + 1*sqrt(160)).
3*sqrt(11)/5
Simplify 3*(sqrt(11) + sqrt(44) + 5 - sqrt(11))**2.
60*sqrt(11) + 207
Simplify 4*(sqrt(684) + sqrt(684) + 1 + 1)**2.
192*sqrt(19) + 10960
Simplify -3 + sqrt(891) + -5 + 5.
-3 + 9*sqrt(11)
Simplify (sqrt(80) + 0 - sqrt(80))**2*-2.
0
Simplify 5*(sqrt(143)/sqrt(11) + sqrt(13)) - (sqrt(1573) + -2)**2.
-1577 + 54*sqrt(13)
Simplify -2 + (sqrt(275) + -1 - sqrt(275)).
-3
Simplify (5 + sqrt(45) + 2)**2 + sqrt(180) + 2.
96 + 48*sqrt(5)
Simplify (sqrt(450))**2 + (1 + sqrt(242))**2.
22*sqrt(2) + 693
Simplify (3 + -3*sqrt(19)*3 + -5)**2.
36*sqrt(19) + 1543
Simplify (sqrt(931) + 3*-1*sqrt(931))*5.
-70*sqrt(19)
Simplify -1*((sqrt(1575))**2 + sqrt(7)).
-1575 - sqrt(7)
Simplify sqrt(3564)*-2.
-36*sqrt(11)
Simplify ((sqrt(132)*1*-6)/(-1*sqrt(972)))**2.
44/9
Simplify (((1*sqrt(750) - sqrt(750)) + sqrt(750) + sqrt(750))/(sqrt(50)/sqrt(5)*6))**2.
25/3
Simplify 2*(sqrt(76)*1 - sqrt(76)).
0
Simplify 5*(1 + (sqrt(2) + -3 - sqrt(2))**2*-2).
-85
Simplify (sqrt(7)*1*4)**2 - (sqrt(7) + sqrt(28) + -1).
-3*sqrt(7) + 113
Simplify ((-4 + -3 + sqrt(637))*6)**2.
-3528*sqrt(13) + 24696
Simplify sqrt(65)/(5*sqrt(10)/sqrt(2)).
sqrt(13)/5
Simplify 4 + sqrt(95)/sqrt(5) + -4.
sqrt(19)
Simplify sqrt(720) + (sqrt(5) - (2 + sqrt(245))).
-2 + 6*sqrt(5)
Simplify (sqrt(6776)*1 - sqrt(56))/(2*sqrt(72)).
5*sqrt(7)/3
Simplify (4*sqrt(832))**2 - sqrt(1872)*-1.
12*sqrt(13) + 13312
Simplify ((sqrt(13) + sqrt(1053) + 1)*5*4)**2.
8000*sqrt(13) + 520400
Simplify (((-3*sqrt(931) - sqrt(931)) + sqrt(931))*3)**2.
75411
Simplify (((sqrt(153)*-1 + sqrt(153))*1)/(1*sqrt(9)*5))**2.
0
Simplify sqrt(468) + -4 + (sqrt(13)*5*5 - sqrt(13)).
-4 + 30*sqrt(13)
Simplify ((6*sqrt(156)*2)/((sqrt(108)*2)/sqrt(9))*6)**2.
16848
Simplify -2*(sqrt(88) + -4*(sqrt(88) - -2*sqrt(88)) + sqrt(88))/(3*sqrt(72)).
20*sqrt(11)/9
Simplify 5*5*(-2*sqrt(15)*4)/sqrt(5).
-200*sqrt(3)
Simplify ((-3*sqrt(88)/sqrt(8) - sqrt(11))*-4)**2.
2816
Simplify ((0 + sqrt(50))*5)**2.
1250
Simplify -2 + sqrt(5)*2*2 + 0 + sqrt(80) + 0.
-2 + 8*sqrt(5)
Simplify sqrt(204)/(sqrt(1200)*-2 + sqrt(1200)).
-sqrt(17)/10
Simplify (-2*-4*sqrt(70))/sqrt(10).
8*sqrt(7)
Simplify (2 + sqrt(13))*-1 + -4*(sqrt(208))**2 + -3.
-837 - sqrt(13)
Simplify 4*(sqrt(252) + -1 - sqrt(7) - sqrt(7))**2 + 5.
-32*sqrt(7) + 457
Simplify sqrt(133)/(sqrt(112) + sqrt(112) + -3*sqrt(112) - sqrt(112)).
-sqrt(19)/8
Simplify 5 + sqrt(15)/(-3*sqrt(432) - sqrt(432)).
-sqrt(5)/48 + 5
Simplify (-2*sqrt(2916))/sqrt(12).
-18*sqrt(3)
Simplify (sqrt(45)*-4)/sqrt(9) - (sqrt(20) + sqrt(120)/sqrt(6))/sqrt(4).
-6*sqrt(5)
Simplify (-3*sqrt(2) - sqrt(2)) + sqrt(2) + 3 + -5.
-3*sqrt(2) - 2
Simplify sqrt(364)/(1*sqrt(567) - sqrt(7)).
sqrt(13)/4
Simplify 4*sqrt(80) + 5.
5 + 16*sqrt(5)
Simplify ((sqrt(140)/(sqrt(10) + sqrt(90)))/(sqrt(8) - sqrt(72)))**2.
7/256
Simplify (sqrt(1377) + 2 - sqrt(17)) + sqrt(17)*-2 + 5.
7 + 6*sqrt(17)
Simplify (sqrt(39)/((sqrt(3) + sqrt(3)*2 + sqrt(3))*4))**2 + 5.
1293/256
Simplify (2 + sqrt(3) + sqrt(3))**2 + -1 + (sqrt(6)/sqrt(2) + -1)**2.
6*sqrt(3) + 19
Simplify (sqrt(420)/sqrt(7)*-6)/sqrt(12).
-6*sqrt(5)
Simplify (-1 + (1*sqrt(5) - sqrt(5)) - sqrt(50)/sqrt(250))**2.
2*sqrt(5)/5 + 6/5
Simplify sqrt(190)/(2*sqrt(250)) + ((sqrt(684)*-2 + sqrt(684))**2 - (-1 + sqrt(171) - sqrt(171))).
sqrt(19)/10 + 685
Simplify (sqrt(18) - (3 + sqrt(72))) + ((sqrt(1152)*-2)**2 - sqrt(1152)).
-27*sqrt(2) + 4605
Simplify 4 + -3*((sqrt(245) + 1)**2 + -3).
-725 - 42*sqrt(5)
Simplify (sqrt(7) + 0)*-3*3 + 4*(sqrt(7) + (sqrt(112))**2 + sqrt(7) + -4).
-sqrt(7) + 432
Simplify ((4*sqrt(117)*-2)/(sqrt(9) - (sqrt(9) - 2*-2*sqrt(9))))**2.
52
Simplify (sqrt(640) + -2*sqrt(640))/(sqrt(8) + (sqrt(72)*2 - sqrt(8)) + sqrt(8)).
-4*sqrt(5)/7
Simplify -2 + sqrt(24)/sqrt(8) + sqrt(363)*2.
-2 + 23*sqrt(3)
Simplify ((sqrt(171) + -2*sqrt(171))/sqrt(9) + (sqrt(76) + ((-3 + sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76)))**2)*4.
-100*sqrt(19) + 1252
Simplify (1 + sqrt(11))*-3 + (sqrt(11) - (2 + sqrt(1331))**2).
-1338 - 46*sqrt(11)
Simplify (-1*sqrt(63))/sqrt(9) + -2 + -3*sqrt(7).
-4*sqrt(7) - 2
Simplify sqrt(121)/(sqrt(44)/sqrt(4)) + 4.
sqrt(11) + 4
Simplify ((sqrt(364)*1)/sqrt(7) + sqrt(52))/(sqrt(400)*2) + 3.
sqrt(13)/10 + 3
Simplify sqrt(11) + (sqrt(99) + 0)**2 - sqrt(891)*2 - sqrt(99)/((1*sqrt(108))/sqrt(12)).
-18*sqrt(11) + 99
Simplify 5 + (sqrt(9)/sqrt(27) + (sqrt(363)*2 - sqrt(363))**2)*4.
4*sqrt(3)/3 + 1457
Simplify (-4*(sqrt(176) + -3))**2.
-384*sqrt(11) + 2960
Simplify 1*(-4 + -2 + sqrt(176)).
-6 + 4*sqrt(11)
Simplify -1*(-3 + sqrt(275) + 4)**2.
-276 - 10*sqrt(11)
Simplify (-2 + sqrt(432) + -5)**2.
-168*sqrt(3) + 481
Simplify 3 + -5 + (sqrt(612) - (-2 + sqrt(612)))**2.
2
Simplify (4*(sqrt(1300) - (sqrt(1300) + sqrt(1300) + 0)) + 3 + -2*sqrt(1300))**2.
-360*sqrt(13) + 46809
Simplify (-2*(-1 + sqrt(847)))**2.
-88*sqrt(7) + 3392
Simplify (sqrt(891) + -1*(-1*sqrt(891) - sqrt(891)) + -2)**2.
-108*sqrt(11) + 8023
Simplify -4 + (sqrt(22)/sqrt(396) + (sqrt(2)*2 - sqrt(2)) + -5)**2.
-35*sqrt(2)/3 + 427/18
Simplify -2 + 1 + (sqrt(11) + sqrt(11)*2)**2*6.
593
Simplify -5*(sqrt(26)/sqrt(2) + -4 - (sqrt(13) + -1)*-2).
-15*sqrt(13) + 30
Simplify ((sqrt(228)*-2 + sqrt(228))/sqrt(4))/(sqrt(72)/sqrt(6)).
-sqrt(19)/2
Simplify sqrt(57)/sqrt(3) + 0 + 4.
4 + sqrt(19)
Simplify (sqrt(16) - -2*sqrt(16) - sqrt(16))/sqrt(8) - 1*(1 + sqrt(2)).
-1 + sqrt(2)
Simplify (1*sqrt(304) - (sqrt(76) - (0 + sqrt(76) + sqrt(76))))**2.
684
Simplify (sqrt(78) + 2*sqrt(78)*5 + sqrt(78))/(sqrt(150)*-2).
-6*sqrt(13)/5
Simplify ((sqrt(3500) - (sqrt(3500) + sqrt(3500)*-1))/(3*1*sqrt(7)))**2.
500/9
Simplify (sqrt(153))**2*-5 + sqrt(272) + -1.
-766 + 4*sqrt(17)
Simplify (sqrt(33)/sqrt(3)*5 - (-4 + sqrt(33)/sqrt(3))) + 1.
5 + 4*sqrt(11)
Simplify (6*-2*sqrt(33) - sqrt(33))/(-4*sqrt(22)/sqrt(2) - sqrt(11)).
13*sqrt(3)/5
Simplify sqrt(117) + (sqrt(117)*-2 - sqrt(117) - sqrt(117)) + -1 + -4.
-9*sqrt(13) - 5
Simplify 2 + sqrt(176) + 1 + sqrt(176) + ((sqrt(110) + -2*sqrt(110))*-1 - sqrt(110))/sqrt(10).
3 + 8*sqrt(11)
Simplify sqrt(5) + (sqrt(20) - (sqrt(20) + -4)) + (sqrt(405)*6)**2.
sqrt(5) + 14584
Simplify (sqrt(2736) + 0 - sqrt(2736))**2*-1 + ((sqrt(228)*2)/sqrt(12) - (sqrt(931) + -1)).
-5*sqrt(19) + 1
Simplify ((3 + 2*sqrt(7))**2 + sqrt(7))*-3.
-111 - 39*sqrt(7)
Simplify ((sqrt(128) - (sqrt(128)*2 + sqrt(128)))*-3 + sqrt(128) + -5*(-2 + sqrt(128) + sqrt(128)))**2.
-480*sqrt(2) + 1252
Simplify -4 + 0 + (-2*sqrt(52)/sqrt(4))**2.
48
Simplify sqrt(2) + sqrt(200) + 0 + sqrt(200) + 1.
1 + 21*sqrt(2)
Simplify ((sqrt(42) + sqrt(168))*1)/(sqrt(216)*2).
sqrt(7)/4
Simplify (sqrt(84) + (sqrt(84) - (-2*-1*sqrt(84) - sqrt(84))))/(3*1*sqrt(12)).
sqrt(7)/3
Simplify 1 + (sqrt(343) - (4*sqrt(343))**2)*-1.
-7*sqrt(7) + 5489
Simplify 1 + 4 + (sqrt(4)/sqrt(2) - sqrt(2)) + sqrt(2) + -2.
sqrt(2) + 3
Simplify ((5*sqrt(54))/(sqrt(96)/sqrt(3) - sqrt(2)))**2.
75
Simplify ((sqrt(153) - sqrt(153)*2)*-2)/(2*sqrt(9)*-3).
-sqrt(17)/3
Simplify ((sqrt(171) + sqrt(171)*1 + sqrt(171) + sqrt(171))/sqrt(9) - (1*sqrt(190))/sqrt(10))**2 + 5.
176
Simplify 3 + -1*-1*sqrt(468).
3 + 6*sqrt(13)
Simplify 3*((sqrt(2299) - 2*sqrt(2299)) + 5 + sqrt(76)).
-27*sqrt(19) + 15
Simplify sqrt(55)/(-4*sqrt(275)).
-sqrt(5)/20
Simplify (6*2*sqrt(112))**2.
16128
Simplify (sqrt(9
|
{
"pile_set_name": "DM Mathematics"
}
|
be (-6)/(-10) + h/100. Solve 0 = 2*r - 2 - i for r.
2
Suppose 4*b = 2*d + 3080, 27*b + 2310 = 30*b - 5*d. Solve -b = 2*z - 780 for z.
5
Let x(h) = 3*h. Suppose 7*w + 2*w = 0. Let b be x(w). Suppose 0 = -0*g - 4*g - b*g. Solve u + 0*u - 4 = g for u.
4
Suppose -3*u = -j + 4, 0 = 2*j - 2*u - 5 + 1. Let z(s) = s**2 - 4*s - 8. Let k be -1*(-3)/((-21)/14). Let q be z(k). Solve -5*m - j - q = 0 for m.
-1
Suppose -6*u = 188 + 1744. Let q = -319 - u. Let c(y) = y**2 - 4*y + 5. Let l be c(6). Solve -q = -5*s + l for s.
4
Let v be 294/(-1323) - 58/(-18). Solve 0 = -v*q + 4*q - 2 for q.
2
Let r be ((-12)/(-2))/((3/(-25))/((-102)/170)). Solve r = -598*b + 592*b for b.
-5
Suppose -22*t + 55 = -715. Solve 16*y - 45 = t for y.
5
Let m(i) = -14*i**2 + 40*i - 15. Let c be m(8). Let r = c + 607. Solve 0 = -r*s - 5 - 59 for s.
-4
Let r be 36/10 + 6/(-10). Suppose -2*o - o + 10 - 10 = 0. Solve o = a - r*a for a.
0
Let j(v) = v**2 - 9*v + 8. Let x be j(8). Suppose 8*h - 7*h + 72 = x. Let g = -53 - h. Solve -4*i - g + 3 = 0 for i.
-4
Let v(w) = w**2 + w - 11. Let l be v(0). Suppose 561*y = 555*y - 42. Let b = y - l. Solve -s = -b*s + 15 for s.
5
Let a be 35/(-70) + 150/4. Solve 0 = 9*d - 8 - a for d.
5
Let v(f) = 13*f**3 - 45*f**2 - 29*f + 10. Let g be v(4). Solve 116 = g*c + 122 for c.
-1
Let h = 8492 + -8452. Solve 515*u - h = 523*u for u.
-5
Suppose -17*r + 37*r = 30360. Solve -1515*u + r*u + 18 = 0 for u.
-6
Let n = 211 - 199. Suppose 10*f = 4*c + 9*f - 23, -n = 4*f. Solve 0 = -4*h - c*h - 45 for h.
-5
Let x be (84/(-24))/((-1)/2). Let m be -2*x/((-14)/3). Solve 2*t = -m*t + 5 for t.
1
Let h be (-82)/(-28) - (-14)/196. Suppose -3*d = h*v - 9, 3*v - 11 = -d - 2. Solve -v*l - 6 = 3 for l.
-3
Suppose 5*u + 3*b + 3 = 0, -2*u + b = -0 - 1. Let m = 331 - 336. Let h be (468/65)/(-12) - 23/m. Solve -h*o - o = u for o.
0
Suppose 0 = -4*p - 22*l + 14*l + 160, p = l + 22. Solve d = p*d - 54 for d.
2
Let x be (-12)/42 + 135/7. Suppose 9*d = x + 8. Solve 2*n + 5 = d for n.
-1
Let w = -466 - -482. Solve 0 = -25*o + 21*o - w for o.
-4
Let g = -129 - -135. Let a be ((-2)/g)/(5/(-75)). Let n(d) = -d**3 + 3*d**2 + d. Let t be n(3). Solve 0 = t*c - a*c for c.
0
Suppose f + 911 = 4*m, -3*f - f + 20 = 0. Let l = m - 221. Solve 7*v = 3*v - l for v.
-2
Let w be 3 + -3 + (1 - (-1)/(-1)). Let d be 3 - (1 + 0) - w. Solve 0 = -p + d for p.
2
Let c be (70/4 + 0)*(-120)/(-210). Suppose -46 = -c*t - 26. Solve -z - t*z - 5*z = 0 for z.
0
Suppose l = -9*h + 8*h - 149, -6 = 2*h. Let n = l - -174. Solve 2 = 10*y - n for y.
3
Let f = -26 + 74. Suppose f = 10*n + 18. Solve -n*u + u = 2 for u.
-1
Suppose 4*g - 195 - 21 = -4*c, 3*c - 104 = -2*g. Suppose l = 5*n + 2*l - g, 0 = -4*l + 12. Let u(d) = 216*d - 861. Let k be u(4). Solve -2*a - k = -n for a.
4
Let g be (14 - 35) + 26 + 7*1. Solve -68*y - g = -56*y for y.
-1
Let d(m) = 10 - 13*m + 16*m - 15. Let g be d(3). Solve 4*u - g = -0*u for u.
1
Suppose -9*t + 9 + 45 = 0. Let f(i) = 8*i - 80. Let y be f(10). Solve y = t*j - 3*j - 6 for j.
2
Let p(g) = -g**2 + 4*g + 13. Let z be p(6). Suppose 0 = -3*i + z + 14. Suppose 77 = 2*d + i*d. Solve -d*b - 1 = -10*b for b.
-1
Suppose k - 2*s = -1, -1 = 3*k - 4*s - 0*s. Suppose -k + 1 = 5*f. Suppose f = w - 3*w + 12. Solve -3*g - w = -5*g for g.
3
Suppose 24*t = 25*t + 4*f + 18, 4*t + 4*f = -36. Let g be 0/20*((-8)/t)/4. Solve g = v - 0*v + 3 for v.
-3
Let q be (22 - 17) + 8/(-4). Let k be -3 + -1 + (-1)/(q/(-60)). Let z be (-6)/(0/(-1) + -1). Solve -2*l + z*l = k for l.
4
Suppose -4*g = -3*g - 2. Let t(z) = 8*z - z + g*z + 10 - 10*z. Let w be t(7). Solve w*s = 4*s - 4 for s.
4
Let u(n) = -8*n - 44. Let q be u(-6). Suppose -15*k = 3 - 3. Solve k*l = 2*l + q for l.
-2
Let c = -13035 + 13057. Solve 52 = c*s + 74 for s.
-1
Suppose 2*x + 52 = 4*n, 58*n + 44 = 62*n - 4*x. Solve n = -33*a + 30*a for a.
-5
Suppose 0 = -2*o + 4*s + 4, 0 = -o + 5*s + 2 - 0. Let z be 2 - (-1)/(-1 - (0 - o)). Suppose -n - 4 = z*n - 3*b, -6 = -n - b. Solve -n*f = -f - 2 for f.
2
Let y(f) be the first derivative of f**4/24 + 5*f**3/3 + 18*f**2 - 31. Let d(v) be the second derivative of y(v). Let z be d(-8). Solve h + 3 = z*h for h.
3
Suppose -9*q - 6 = -11*q. Suppose 4*n - 12 = -2*y, -q*n = n - 8. Suppose -11 - 22 = -11*a. Solve a*s + y = -10 for s.
-4
Let r(z) = -z**2 + 3*z + 1. Let g be r(2). Suppose -9*d + g*d + 18 = 0. Suppose 3*o + d*y = 21, 8*o - 19 = 3*o + 3*y. Solve x = o*x for x.
0
Let j = -49 - -41. Let s be -2*6/j*(4 - -6). Let x = s + -6. Solve -2*c + 1 = x for c.
-4
Let m(t) = 2*t**2. Let r(u) = -3*u**3 + 9*u**2 - 6*u + 2. Let c(v) = -2*m(v) - r(v). Let q be c(4). Solve -q*h + 23 - 29 = 0 for h.
-1
Suppose -230*h + 5109 = -70*h - 90411. Solve 2*x + 591 = h for x.
3
Let h = 985 + -675. Suppose 110 = -20*c + h. Let a = 29 - 14. Solve 7*d + a = c*d for d.
5
Let l(n) = 2*n. Let m be l(1). Let r(i) = i**2 - 8*i + 3. Let z be r(0). Solve z*t = 2*t + m for t.
2
Suppose 21 + 39 = 2*a + 4*j, 32 = 2*a - 3*j. Suppose 5*u - a = u + t, 0 = -2*u + t + 10. Solve -4*y - 10 - u = 0 for y.
-4
Let z(k) = -k**3 - 22*k**2 - 55*k + 48. Let y be z(-19). Solve -5*j + 0 - y = 0 for j.
-2
Let j = 2154 + -2146. Solve j*m - 71 + 15 = 0 for m.
7
Suppose 0 = 119*g - 8666 + 574. Solve z + 66 - g = 0 for z.
2
Let p be ((-550)/8)/(-11*21/924). Solve -3*c + p = 281 for c.
-2
Suppose -14 - 151 = -5*v. Let t = v - 28. Suppose -4*y - 16 = 0, -t*u = 5*y + 3 + 7. Solve 2*h = h + u for h.
2
Let y(m) = -m**3 - 3*m**2 + 7*m + 21. Let a be y(-4). Solve 210*d - a = 201*d for d.
1
Let p be -7 + 116 + (0 - -3). Let x = p - 108. Solve 9 - x = a for a.
5
Let k(v) = -3*v - 6. Let u be 4/6*(-294)/(-28). Let l(y) = -5*y - 13. Let j(p) = u*k(p) - 3*l(p). Let w be j(-1). Solve 0 + w = 3*q for q.
1
Suppose 5*s + d - 7 = 0, -2032*s - 5*d = -2033*s - 35. Solve s = -3*t + t + 4 for t.
2
Let l = 2 - 0. Suppose t + 414 = -0*t + 5*k, -t - 442 = 2*k. Let z = -424 - t. Solve -l*o + 0 = -z for o.
5
Let w(p) = 3*p - 15. Let n be w(5). Suppose z - 7*x + 8 = -2*x, -3*z + 4*x - 2 = n. Suppose 25 = 3*k + 4*c, 0 = 4*k - z*k - c - 2. Solve -k*g + 20 = 2*g for g.
4
Let h(d) = d + 63. Let s(n) = -n - 32. Let b(c) = -3*h(c) - 5*s(c). Let j be b(16). Suppose a = 4*a - 15. Solve -j + a = i for i.
2
Let w = -302 - -302. Let m(v) = 44*v + 4. Let c be m(w). Solve -c*g - 3 - 13 = 0 for g.
-4
Suppose -4*o - 43*n + 12 = -46*n, 3*o + n - 9 = 0. Solve z + 16 = -o*z for z.
-4
Suppose 83*x - 74*x = 0. Suppose 4*m + x*m + 5*i = 25, i + 13 = m. Solve 0 = m*y - 12*y + 2 for y.
1
Suppose 6*m - 4*m = l - 255, 3*m = 4*l - 995. Let u = 251 - l. Solve u = -4*s - 6 for s.
-3
Suppose -40*j + 248*j = 811 + 1893. Solve j*l - 21*l = 48 for l.
-6
Let i = -18783 - -18830. Solve -i*m - 448 = 9*m for m.
-8
Suppose 5 = -2*a + 7*a, 0 = -s + 5*a + 20. Solve 52*f - s*f = 31*f for f.
0
Let x = -6 + 16. Suppose 0 = -6*t + 2*t. Suppose 0 = -t*g - 0*g + 5*g. Solve g = -3*f + f - x for f.
-5
Let i(o) = 8*o**2 - 27*o - 30. Let s(m) = -m**2 + 1. Let z(d) = -i(d) - 6*s(d). Let p be z(14). Solve -7*f = -2*f + p for f.
-2
Let k(g) = -g**2 + 9*g + 12. Let b be k(10). Let u(q) = -228 - q + 243 - b*q. Let f be u(5). Solve 5*l - 3*l = f for l.
0
Let m be (0/(-1))/(-5)*13/91. Solve m = -12*o + 6*o for o.
0
Suppose 11*d - 18 - 59 = 0. Suppose -d*r - 14 = -28. Solve 8*j - r = 10*j for j.
-1
Suppose 4*v - 5 = x + 3, 2*v - 28 = 2*x. Let u = 21 + x. Let c = u + -1. Solve 3*k - c = 4*k for k.
-4
Let w = -2809 - -2828. Solve 0 = -12*n + 5 + w for n.
2
Suppose -10*q + 196 = 5*q - 614. Solve -32*f = -q*f - 132 for f.
-6
Let a = 204 + -210. Let m be (-1)/2*((-8)/(-4) + a). Solve -m*f - 12 = f for f.
-4
Let q(x) = x**3 + 9*x**2 - 5*x - 33. Let u be q(-9). Let j be 5*(u/(-10) - -3). Let g be 1/2*(1 - 1). Solve -3*z + j = -g for z.
3
Let b be 1760/30 + 8/6. Solve b*g + 366 = -g for g.
-6
Let a be (2/(-4))/(2/(-16)). Suppose -475*f - 4*w - 87 = -480*f, -4*w - 54 = -2*f. Solve 3*x + f = -a for x.
-5
Let m(q) = -2*q**3 - 9*q**2 + 5*q + 5. Let y be m(-5). Suppose -y = -5*t + 5*o, 4*t = -0*o - 3*o - 3. Let z = 8 + t. Solve 0 = z*p - 3*p + 5 for p.
-1
Let d(q) = 8*q**3 - 2*q**2 + 22*q - 37. Let s be d(2). Solve -8*h = -23 + s for h.
-5
Suppose 0 = 2*h - 4*s - 2556 + 2422, 0 = -h + s + 61. Solve 133*n + h = 122*n for n.
-5
Let f = -7669 + 7774. Solve -14*w - w
|
{
"pile_set_name": "DM Mathematics"
}
|
, -17 + 47 = 3*g + 4*m. Suppose 0 = 10*l - g*l - 8, 3*c = 5*l - 1. Solve 2*f - 11 = 5*q - 39, 5*f = c*q - 32 for q.
4
Let j(s) = -s**3 + 5*s**2 + s - 3. Suppose -n + 3*n + a - 5 = 0, 4*a = 2*n - 30. Let x be j(n). Solve 0 = -3*z - 15, -3*c - z = x - 0 for c.
1
Let j(r) = 2*r**2 + 3*r - 17. Let c be j(8). Let a = c + -133. Solve t = 5*q - 14, 0*q + a*q = 5*t + 24 for t.
-4
Let c = -241 - -246. Suppose -8 = -c*i + 7. Solve i*t + 2 = 2*l, 0 = -3*t + 4*l + 6 + 2 for t.
-4
Suppose -2*x - 289 = -3*w - 283, -2*x + 14 = 2*w. Solve o + g = -4 - 3, w*o - g = -18 for o.
-5
Suppose -l + 26 = -194*m + 191*m, -3*l + 5*m + 50 = 0. Solve 5*p + 3 = -l*r + 8, -3*p - 21 = -3*r for r.
4
Suppose -413*u + 2 = -412*u. Solve -g - u = -n, 3*n + 9 = 7*n - 3*g for n.
3
Let o = -4 - -9. Let g = -22 + 27. Suppose g*c - 13 = 7, 0 = -5*x + 5*c - 10. Solve p + 2 = x*u - p, 0 = -o*u - 4*p - 4 for u.
0
Let v(c) = -c**3 - 24*c**2 - 92*c + 82. Let k be v(-19). Solve 5*r - 9*t + 5*t = 25, -3*t = -5*r + k for r.
5
Let j be ((-1660)/(-14))/5*(-2 - -9). Suppose j*w - 168*w + 16 = 0. Let a be -2 + (-2 - -2) - -6. Solve -w = 2*m, -3*o - 7 = -m + a for o.
-5
Let a = -8 - -13. Let r(q) be the first derivative of 2*q**2 + 73*q - 65. Let h be r(-18). Solve a*g + 0*c + 9 = -4*c, -3*g - h = -2*c for g.
-1
Suppose 23*m = 6*m - 2*m + 228. Solve -b - m = 3*j, 2*j - 4*b = -2*j for j.
-3
Let i(g) = -2*g - 9. Let t be i(-5). Suppose -2 = 28*k + 103*k - 2. Solve u + 2*f = -7, k = -f - 3 - t for u.
1
Let k be (-2)/15 + 42926/195. Let p be ((-20)/(-12))/((k/(-24))/(-11)). Solve -3*f - 2*x = 10, 2*x - 9 = p*f + 1 for f.
-4
Let u(v) = 7*v**2 - 122*v + 165. Let p be u(16). Solve -153*x - b = -149*x + 12, 2*x + p*b + 24 = 0 for x.
-2
Suppose 0 = -2*y + 3*y - 13. Let d(s) = 0 + 10*s - 33 + 8. Let l be d(3). Solve -5*b = -a + y, 2*b - l*b - 3*a - 15 = 0 for b.
-3
Let a(i) = 2*i - 10. Let v be a(7). Suppose -q = v*q. Suppose 2*t + 4*t = 6. Solve 5*r + 2*n - 16 = q, -21 - t = -5*r - 4*n for r.
2
Suppose -38*y = -13*y + 23*y - 144. Solve -6*b + 11*b = -3*u + 26, -4*u - y*b + 20 = 0 for u.
2
Let q = 140 - 138. Suppose 27 = 3*g - 5*p, -q*g - 3*g + 32 = -4*p. Solve c - 5*k = 19, g*c - 3*k + 7*k = 4 for c.
4
Let c(m) = m**3 - 9*m**2 + 11*m - 8. Let x = -24 - -36. Suppose -6*y - x = -60. Let b be c(y). Solve -4*j + b = 0, -2*j + 5*j = n + 10 for n.
2
Suppose 3*f - 4*f + 4*p = -19, -4*p - 22 = -2*f. Solve f*g - 6 = 0, 0 = 2*q - 0*q + 4*g for q.
-4
Suppose l = -4*j - 6, 14 - 55 = -4*l - 3*j. Suppose 15 - 127 = -2*z. Suppose l*u - z = -0*u. Solve 0 = -u*d + k - 2*k - 1, 2*d - 12 = 2*k for d.
1
Let m(h) = -525*h - 4723. Let f be m(-9). Solve -w = -f*b - 7, 11*w - 3*b = 12*w + 8 for w.
1
Let a(v) = -v**3 + 5*v**2 + 12*v - 33. Let y = -194 - -200. Let w be a(y). Solve w*h = -3*d + 18, 4*h - d = -4*d + 21 for h.
3
Suppose -18 = -7*d + 17. Let x = 5 + 0. Suppose 0 = 2*m + x*f - 3, 3*f = -d*m + 6*f + 23. Solve 0 = -m*h - 3*k + 7 - 3, 0 = -3*h + k + 16 for h.
4
Let m(d) = 9*d**2 - 9*d - 15. Let n be m(-3). Let a = -93 + n. Solve a = 3*g + 15, -y - 5*g - 23 = -0*y for y.
2
Suppose 2 = 4*q + 58. Let g be -2 - (-2 + -2) - q. Suppose -6*z = -2*z - g. Solve -i - i - o = 0, z*i + 12 = o for i.
-2
Suppose 0 = 15*f - 732 - 528. Let w = -83 + f. Solve 2*p + 2*j = 2, 0*j = j - w for p.
0
Let a = 484 + -482. Solve 5*m = 3*o + 19, 2*o - 16 + 2 = -a*m for m.
5
Suppose 3*c = 11 - 5. Let a be 11/c*168/154. Solve 0 = -x + 5*w - 2, -3*x + 6*w = w + a for x.
-2
Let s = 242 - 224. Suppose -s = 10*x - 38. Solve -q + 3*q = 5*g - 5, -3 = x*q - 3*g for q.
0
Let o be 1 + 0 - 7/14*-22. Let i = o + -7. Solve -i*w - 3*h - 7 = 0, -8 = w - 5*h - 29 for w.
1
Suppose -2*g + 2*r = -14, -g - 124*r = -128*r + 2. Solve 2*v = -3*j - 25, -j - 2*j = -5*v - g for j.
-5
Let q be ((-8)/(-28))/(32/112). Suppose -5*h - 4*u = -24, -u - q + 10 = 2*h. Let d = 20 - 11. Solve -5*x + d = -y, x = 3*x - h for y.
1
Let w(n) = -n**3 + 6*n**2 + 108*n - 461. Let p be w(4). Suppose 0 = -y - 3*y + 44. Let d = -6 + y. Solve p*a - 5 = 2*k, 0 = -a - 4*a + d for k.
-1
Suppose 0 = -u - 0*u + 2. Suppose 0 = 172*x - 644 + 344 - 560. Solve -5*r = 6*b - u*b - 25, 0 = -r - 4*b + x for r.
5
Let l be (-25)/(-20)*-4 - -40. Suppose -l*u = -2*t - 37*u + 18, 39 = 4*t + 5*u. Solve 3 = -d + 5*y + 5, -3*d + y = -t for d.
2
Let x(h) = -h**3 + 12*h**2 - 12*h - 135. Let q be x(9). Solve q = -k - 8*w + 3*w - 1, -5*k + 5*w + 25 = 0 for k.
4
Let r = 291 - 291. Let l = -135 - -139. Solve 0 = -s + l*k + 10, 5*k = -s - r*k - 8 for s.
2
Let q(d) = -5*d**2 - 15*d + 4. Suppose -4*c - 8 = -2*v, 4*c + 2*v + 11 + 5 = 0. Let y be q(c). Solve 3*b + y*a = -23, -5*b = -0*a - a for b.
-1
Suppose -52*f + 6 = -55*f, f + 14 = 4*j. Solve 2*h + 18 = -2*r, -j*h + 159 - 178 = r for h.
-5
Suppose -114*p + 128 + 192 = -74*p. Solve -5*z + 15 = 5*s, 13 = -z + p*s - 5*s for z.
-1
Let c(n) = 8*n + 120. Let o be c(-15). Suppose o = 3*q + 3*q - 24. Solve -v = q*v + x - 24, 0 = -5*v + 5*x for v.
4
Suppose -7*s = -60 + 39. Solve x = -5*f - x + 23, -s*x + 27 = 5*f for f.
3
Let x be -1 + (65/20 - 12/(-16)). Solve 19 = 3*i + 16*t - 21*t, 5*t + 31 = -x*i for i.
-2
Suppose 441*n + 292 = 799 + 375. Solve -4*g = 5*c + 13, 2*c + 87 = -n*g + 83 for c.
-5
Suppose 4*n - 19 = -4*a - 171, -a - 3*n = 30. Let x = a + 24. Let p be x/(-6) - (0 - 2). Solve -p*o - d + 2 - 4 = 0, 3*d = -2*o - 6 for o.
0
Let x(o) = o**2 + 7*o + 12. Let a be x(-3). Solve 4*w + 4*s = 8*w + 4, a = w + 5*s - 17 for w.
2
Suppose 5*l = -u + 9, l - 3*u + 8*u = -27. Solve 5*v + x + 14 = 0, l*v - 5*x - 11 = 3 for v.
-2
Suppose -73*c + 151*c - 390 = 0. Solve m = c*o + 30, m = -2*o - m - 12 for o.
-6
Let y(q) = q - 4. Suppose -35 = 3*s - 101. Let f be 4/s + 960/165. Let p be y(f). Solve -3*n - 4*u - 8 = 0, 5*n - p*u - 45 = 3*u for n.
4
Let s(y) = 672*y + 4056. Let p be s(-6). Solve 0 = 3*g - 0*r - 4*r + p, 0 = 3*g + 5*r - 30 for g.
0
Let l be (-12)/18*(1308/8 + 0). Let j = l - -131. Solve 2*u - 4*u = 4*c + 2, c - 4*u = j for c.
2
Let u(q) = -5*q + 35. Let b be u(6). Suppose 11 = b*v - 19. Solve -2*h - 5*y = 0, 3*h + 2*y = h + v for h.
5
Let v = -59 - -63. Let c = 486 - 484. Solve v = -c*l, l = n + 2*l for n.
2
Let c = -3697 - -3705. Solve -4*f + 16 = 5*u - 20, -c = -4*u + 2*f for u.
4
Let v be -11 - 30/(-10) - 2*-5. Solve -16 = 2*n - 0*n - 3*t, 2 = -5*n - v*t for n.
-2
Let a(v) = -13*v + 681. Let c be a(49). Let j = 98 + -82. Solve -4*h - 19 = 3*x, c = -5*x - 3*h + j for x.
-5
Let p(a) = -8*a + 454. Let n be p(56). Solve -2*b = -0*o - 4*o - n, 4*o = 3*b - 5 for o.
-2
Suppose -2316 = -491*d + 1121. Solve v = -t + 3, 4*v + d = -2*t + 13 for t.
3
Let h(o) = o**3 - 24*o**2 + 143*o + 21. Let t be h(12). Solve -t = 3*y, 220*x + y + 7 = 218*x for x.
-2
Let d = 82 + -70. Let j be 2/3 + 16/d. Suppose -r - j*k + 10 = 3*k, 2*r - 5*k = -10. Solve -4*x + 11 = -5*q - 5, r = 5*q - x + 4 for q.
0
Let g = -109 + 121. Suppose 4*k - 4*x = -k + g, -x = -4*k + 14. Solve -5*m + 20 = -s, 2*m - k*m - 15 = -5*s for s.
5
Let k be 6*(3 + 6/4). Suppose k = 3*b + l, -2*b = 4*l - 5*l - 23. Solve p = -p - 5*o - 6, b = 4*p - o for p.
2
Let b(z) = z**2 - 5*z - 1. Let m be b(6). Let k = 35698 + -35682. Let r = -5 + 8. Solve m*j - r*v + k = -0*v, 3 = -v for j.
-5
Suppose -2*o = 3*o + 35. Let u(n) = 2*n**2 + 16*n + 17. Let r be u(o). Suppose -x - 56 = -r*a - 12, x + 2 = 0. Solve -4 = 4*w - 2*w - 3*p, -5*p = 4*w - a for w.
1
Suppose -12 = -10*z + 8. Suppose -z*s + 38 + 34 = 0. Suppose -q = 2*y + 3, 3*q - 7*q + s = -4*y. Solve 4*r = 3*t, -q*r + 0 + 3 = -3*t for r.
3
Let i be ((1 + (-2)/4)/((-43)/(-1032)))/4. Solve -12 = -5*r + i*a - 4, 2 = r - a for r.
1
Suppose 52*x - 87 = 55*x + 4*a, -4*x + 2*a = 94. Let r be -4*x/(-20)*-7. Solve 0 = 5*p + 2*h + r, 5*h - 3*h = 4*p + 10 for p.
-5
Suppose 17*k - 24*k = -7. Suppose 9 = z + 7. Solve 0 = -z*w - v + k, -7 + 4 = 4*w + 3*v for w.
3
Let q(m) = 27*m + 762. Let x be q(-28). Solve x*h - u = 7*h, 0 = 4*h - 5*u - 45 for h.
5
Let y be ((-182)/(-39))/(2/(-6)). Let u be y*(4/14)/(-1). Suppose 3*n + 1 = 10. Solve 2*q + 8 = -n*c + 19, -3*q = -u*c - 8 for c.
1
Suppose 0 = 7*x + 138 - 215. Solve -4*b = o - 3, 8*o - x*o - 5 = 5*b for o.
-5
Let b(g) = -13*g**2 + 80*g - 9. Let t be (-35)/(-6) - 8/(-48). Let k be b(t). Solve -20 = 3*v + 5*q, -q = -k*v - 5*q - 19 for v.
-5
Let l(v) = 13*
|
{
"pile_set_name": "DM Mathematics"
}
|
, -n + 51 = 2*v - 0*n. Suppose -3*c = -205 - v. List the prime factors of c.
7, 11
Let l(k) = k**2 + 4*k + 7. Let i be l(-2). Suppose -5*j = 2*m + m, -3*m = -3*j. Suppose -3*s + 4*r + r = -99, m = i*s + r - 81. What are the prime factors of s?
2, 7
Let i = -28 - -22. Let t(g) = -7*g - 1. What are the prime factors of t(i)?
41
Suppose -3*y + 6*y = 21. Let i(s) = 2*s**2 - s + 1. Let w be i(y). List the prime factors of -5*1/((-20)/w).
23
Let s(l) = -3*l**2 - 2 - 2*l + 3*l + 5*l**2. Let z = -15 + 11. What are the prime factors of s(z)?
2, 13
Let k(c) = 3*c - 2. Let y be k(2). What are the prime factors of (-2)/(5/((-10)/y))*125?
5
Let o(i) = 17*i**2 + 93*i - 21. List the prime factors of o(-13).
31, 53
Let m(j) = -j**2 + 9*j - 6. Suppose 1 = 3*i - 17. What are the prime factors of m(i)?
2, 3
Let a be 4820/(-180) - (-4)/(-18). Let o = 44 + a. What are the prime factors of o?
17
Suppose 0*x = -5*x + 35. Suppose -5*w = -x*w + 12. Let z = 70 - w. List the prime factors of z.
2
Let k(g) = 2*g**2 + 6*g - 294. What are the prime factors of k(35)?
2, 7, 13
Let h = -259 + 696. What are the prime factors of h?
19, 23
Let t = -21 + 22. Let x be (-5 - t)*14/4. Let h = x + 48. What are the prime factors of h?
3
What are the prime factors of (2005/(-15))/(1/(-3)*1)?
401
Let j = 1657 - 534. What are the prime factors of j?
1123
Let w be 129/2*(-6)/9. Let y = w + 11. Let a = -11 - y. What are the prime factors of a?
3, 7
Let q = 1632 - 1001. What are the prime factors of q?
631
Let i(j) = 21*j - 4. Let b(h) = 20*h - 3. Let k = -22 - -15. Let l(g) = k*b(g) + 6*i(g). What are the prime factors of l(-2)?
5
What are the prime factors of (0 + 1)/2*902/11?
41
Let b(u) = 1137*u**2 + 28*u - 4. What are the prime factors of b(-2)?
2, 3, 11, 17
Let j be 279/15 - 6/10. Let p = j - -62. What are the prime factors of p?
2, 5
Suppose 105*r = 99*r + 132. Suppose -r = -5*t + 128. What are the prime factors of t?
2, 3, 5
Let y(z) = 17*z + 6. Suppose -3*d - 14 = -5. Let b be y(d). Let t = -13 - b. What are the prime factors of t?
2
Suppose 10 = 5*j - 5. Let q be 4/(-6) - (-47)/j. Suppose 3*w = 3, 0*o + 5*w = -2*o + q. What are the prime factors of o?
5
Let w(y) = -302*y + 43. What are the prime factors of w(-3)?
13, 73
Let u(j) = -j**2 - 23*j + 13. Let a = 14 + -32. List the prime factors of u(a).
103
Let c = 4 + 309. What are the prime factors of c?
313
Let b = 449 - 246. List the prime factors of b.
7, 29
What are the prime factors of ((-568)/10)/((-16)/40)?
2, 71
Let o = 262 - 115. What are the prime factors of o?
3, 7
Let n(t) = -t**2 - t + 5. Let j be n(-3). What are the prime factors of (19/(-3))/(j/3)?
19
Let l = -61 - -105. Suppose c + 2 = l. What are the prime factors of (3 + 3)/2 + c?
3, 5
Let k(m) = -m**2 + m + 5. Let j be k(0). Suppose 2*r - j*r = -222. What are the prime factors of r?
2, 37
Suppose -b - 5*w = -490 - 423, 4*w = 5*b - 4507. What are the prime factors of b?
3, 7, 43
Let l(u) = -u**2 + 0*u + 2 + u + 2. Let w be l(0). Suppose -5*k - 4*t + 173 = 0, 134 - 4 = w*k - t. What are the prime factors of k?
3, 11
Let u(p) = -p**3 + 14*p**2 - 12*p - 23. Let z be u(13). Let y(q) = q**2 + 28. List the prime factors of y(z).
2
Let r(y) be the first derivative of y**3/3 + y - 28. Let l = 5 - 2. List the prime factors of r(l).
2, 5
Let z(n) = -n**3 - n**2 - 4*n - 3. Let q(c) = -c**2. Let k(s) = q(s) + z(s). List the prime factors of k(-4).
3, 5
Suppose -7*s = -2135 + 749. What are the prime factors of s?
2, 3, 11
Let i = 28 - 28. Suppose i*p - 250 = -5*p. List the prime factors of p.
2, 5
Suppose 0 = 5*i - 3*x + 2*x - 1443, -3*x = -i + 283. Let t = -199 + i. Let j = -49 + t. List the prime factors of j.
41
Suppose -4*z = -4, -750 = -3*o + 3*z + 1491. List the prime factors of o.
2, 11, 17
List the prime factors of (-12972)/(-54) + (-3 - 75/(-27)).
2, 3, 5
Let v(p) = -p - 1. Let z(d) = d**2 - 18*d - 10. Let b(t) = -6*v(t) + z(t). Suppose -4*j = -4*x + 51 + 21, 0 = -4*x - j + 62. List the prime factors of b(x).
2, 3, 5
Let n be -3*4/3 + 10. Suppose -3*x - 66 = -g, -2*x + n = x. Suppose -g = 3*q - 6*q. List the prime factors of q.
2, 3
Let g(s) = s - 1. Let i be g(6). Suppose i*h - 185 = -4*j - j, 2*j = h + 86. List the prime factors of j.
41
Let n(b) = 6*b**3 - b**2 - b + 1. Let o be n(1). Suppose -o = -4*y + 11. Suppose -4*d + 3*d - 103 = -5*z, 4*z = y*d + 76. List the prime factors of z.
3, 7
Let x be 826/(-10) + (-27)/(-45). Let d = x + 145. Suppose 5*v - 114 = -3*s + d, -3*v + 5*s = -79. List the prime factors of v.
3, 11
Suppose -3*h = -4 - 5. Suppose 6*r + 3*w = 2*r + 266, -h*w + 334 = 5*r. List the prime factors of r.
2, 17
Suppose 0 = 3*m - 3*w - 1365, -4*w + 1768 = 3*m + 403. What are the prime factors of m?
5, 7, 13
Suppose -10*w = 78 - 248. Let x be (2 - 0)*(-30)/4. Let l = x + w. List the prime factors of l.
2
Suppose 0 = -2*x - 6*l + 11*l + 1880, 0 = 3*l. What are the prime factors of x?
2, 5, 47
Let d = 2 + -6. Let p be (-2 - d)*(-50)/(-4). Suppose p = 7*q - 6*q. What are the prime factors of q?
5
Let k be 298/6 + 6/18. Suppose 68 - k = h. What are the prime factors of h?
2, 3
Suppose 4*q + 5*p = 343, 0 = 4*q - q - 4*p - 234. List the prime factors of q.
2, 41
Let w(k) = -k**2 + 6*k - 5. Let n be w(4). Suppose r = n*r - 52. Suppose -80 = -2*h - r. What are the prime factors of h?
3
Suppose -2*c = 3*j - 472, 4*j - j - 464 = 2*c. Let k = j + -89. List the prime factors of k.
67
Suppose i + 1448 = 5*i. What are the prime factors of i?
2, 181
Suppose -1132 = 6*w - 6292. What are the prime factors of w?
2, 5, 43
Suppose 11*r - 10 = 9*r. Suppose r*y - 22 = 2*t + 15, 0 = 2*y - 2*t - 16. Suppose -y = -3*a + 5*g - g, 0 = -3*a - 3*g + 42. List the prime factors of a.
3
Let w(f) = 2*f**3 - 18*f**2 - 5*f - 16. List the prime factors of w(13).
31, 41
Let f = 10 + -6. Suppose 2*y + 110 = f*y. List the prime factors of y.
5, 11
Let d = 226 + 127. What are the prime factors of d?
353
Let t be (16 + -10)*(-1)/(-2). Suppose -t*o + 328 = o. List the prime factors of o.
2, 41
Let s = 18 - 35. Let z = s + 46. List the prime factors of z.
29
Let i = 33 - -109. List the prime factors of i.
2, 71
Let g be (9 - 3 - 6)/(0 - -1). Suppose -16*i + 13*i + 399 = g. List the prime factors of i.
7, 19
Suppose c - 5 = 0, 2*o - 3*o + 36 = 4*c. Suppose -k + 5*z = -5, -2*z - o = -k + 4. Suppose 0 = 5*n - 5*s - k, 2*n - 5*s - 16 = -1. List the prime factors of n.
5
Let m(v) = -11*v - 9 - 2*v**2 + 4*v**2 + v**2 - 8. List the prime factors of m(7).
53
What are the prime factors of (-2 - 15116/(-14)) + 84/294?
2, 7, 11
Suppose -603*h + 7056 = -597*h. List the prime factors of h.
2, 3, 7
Let k = 6 + -4. Suppose -5*q + 5 + 4 = 2*x, -4*x - 18 = -k*q. Suppose 3*o - 57 = y + q*y, y = 0. List the prime factors of o.
19
Let q = 0 - -6. Let x be (q - 9)*(-2)/6. Suppose -5*i - 3 = -a + x, -2*a = i - 8. List the prime factors of a.
2
Suppose -m = 16*b - 17*b - 2120, -3*m = -5*b - 6360. What are the prime factors of m?
2, 5, 53
List the prime factors of 225/10*(-32)/(-10).
2, 3
Suppose 16*u = 11776 + 20448. What are the prime factors of u?
2, 19, 53
Let d be 1/(-3) + ((-1)/(-3) - -3). Suppose -76 = -d*j - j. What are the prime factors of j?
19
Let c(r) = 2*r**3 - 3*r + 2. Let x be c(2). What are the prime factors of (3 + (-20)/x)/(4/534)?
2, 89
Suppose 5*q = 2*v - 5489, 0 = -3*v + 2*q + 4260 + 3979. What are the prime factors of v?
41, 67
Let w = -222 + -360. What are the prime factors of (112/(-21) + 6)*w/(-2)?
2, 97
Suppose -46 = n + 5*w, -2*n + w - 48 = -0*n. Let h = n + -18. Let x = -24 - h. What are the prime factors of x?
2, 5
Suppose -6*j = -5*w - 5*j + 35, -2*w + 5*j + 37 = 0. What are the prime factors of 335*8/14 - w/14?
191
Let l = -96 - -96. Suppose l = 5*s - 1150 + 310. What are the prime factors of s?
2, 3, 7
Suppose -t + 5 = 0, 3*t + 216 = -3*r + 1035. List the prime factors of r.
2, 67
List the prime factors of ((-2)/(-4))/(2/(-93220)*-5).
59, 79
List the prime factors of (-71822)/(-30) - 13/195.
2, 3, 7, 19
Suppose -3*x - d = -0*x - 254, -4*x + 357 = 5*d. Let q = 4 + x. What are the prime factors of q?
3, 29
Suppose 3*u = 3*j + 33, j + 0*u + u + 9 = 0. Let b(x) = x**2 + 11*x + 15. Let d be b(j). Suppose 50 = -3*z + d*z. What are the prime factors of z?
5
Let l be (15/9 - 1)*-3. Let i be
|
{
"pile_set_name": "DM Mathematics"
}
|
= n**2 + 6*n + 1. Let z be ((-28)/84)/(3/81). Calculate i(z).
28
Let q(u) = 2*u + 12. Let o be (-66)/(-18)*-3 - -3. Determine q(o).
-4
Let j(c) = 2*c + 5. Let o(u) = -15*u**3 - 2 - u + 3*u**2 + 14*u**3 + u. Let g be o(2). Suppose -6 = -3*r - 3*a, r = g*a + 3 + 8. Give j(r).
15
Let u = 6 - 4. Suppose -u*a = 3*a. Let t(v) = -67*v + a + 2 + 65*v. What is t(-2)?
6
Suppose -83*z + 87*z = 12. Let h(u) = 2*u + 2. Calculate h(z).
8
Let r(o) = o**3 - 6*o**2 - 12*o + 2. Let b be r(7). Let l = b + 30. Let d(w) = -6*w - 2. What is d(l)?
16
Suppose -169 - 67 = 4*y. Let a = 60 + y. Let o(z) = -z**2 + z + 1. Let v(d) = -7*d**2 + 7*d + 6. Let h(c) = -6*o(c) + v(c). Determine h(a).
0
Let m be 7/42 - (-46)/12. Suppose 3*c + 5*t + 0*t - 14 = 0, 0 = 4*t - m. Let o(u) = 138 + 2*u - 140 - 6*u + c*u. Calculate o(0).
-2
Let c(n) be the first derivative of n**3/3 + n**2/2 - 70*n - 36. Determine c(8).
2
Let j be 2 - (-5 + 0 + 1). Let q(l) = -5 + l**2 - 2*l**2 + l + j*l. Suppose 19*o - 48 = 11*o. Determine q(o).
1
Let n be 2*((-30)/4)/3. Let m = 72 - 65. Let h(f) = 11 - 4 - 8*f - 5*f**2 + m*f - 11 - f**3. What is h(n)?
1
Let w(i) = 7*i - 4. Let j(x) = x - 2. Let c(h) = 4*j(h) - w(h). Determine c(-4).
8
Let m(p) = -p - 11. Let k be (26/(-65))/(2/40). What is m(k)?
-3
Suppose 3 = -8*k + 43. Let q(h) = 5*h + k*h - 5*h - 6*h - 1. Determine q(0).
-1
Let w(h) = 2*h**2 + h. Let x = -139 - -205. Let z = x + -68. Determine w(z).
6
Let c(q) = 3*q - 2. Let o(h) = -2*h + 1. Suppose -8*r - 6 - 26 = 0. Let s(d) = r*o(d) - 3*c(d). What is s(5)?
-3
Let g(b) = 12*b + 13. Let n be g(-1). Let u(m) = -26*m. Calculate u(n).
-26
Let x be -3*1*14/6. Let h(c) = -c - 4. Let v be h(x). Let r(j) = -v - 4*j**2 - 3*j**2 + 8*j**2. Give r(-3).
6
Suppose 0 = 6*f - 8 + 44. Let w = 6 - 3. Let o(l) = l**2 + 0*l + l + 1 + w*l + 3*l. What is o(f)?
-5
Suppose -4*j + 4*p = -20, 2*p + 2*p + 10 = 2*j. Suppose -5*q - 16 = -q, -5*r = j*q + 170. Let d = r - -30. Let b(x) = x**3 + x**2 - x + 3. Give b(d).
3
Suppose 12*v - 24 = -0*v. Let m(q) = -5 + q**v + 3*q - 4*q + 2*q + 4 - 4*q**3. Give m(1).
-3
Let s(i) = 9*i**2 + 7*i + 9. Let w(z) = -75*z**2 - 56*z - 72. Let k(x) = -17*s(x) - 2*w(x). Determine k(-4).
-29
Suppose 2*k - d + 5 = 2*d, 15 = k + 2*d. Let q(c) = -2*c - 9. Calculate q(k).
-19
Let c(t) = -t**3 + 6*t**2 + t - 1. Let p(w) = -w + 3. Let r be p(-5). Suppose -r*g + g = -21. Suppose -n + 3 = -g. Calculate c(n).
5
Let j be 5*(-12 + (-110)/(-10)). Let g(r) = -4 + 4*r**3 + 7 - 3*r**3 - 6*r + 4*r**2. Calculate g(j).
8
Let m(y) be the third derivative of y**6/120 - y**5/60 + y**4/24 - 2*y**3/3 - 33*y**2 - 1. What is m(3)?
17
Suppose -46*m + 2 = 278. Let l(p) = -4*p - 28. What is l(m)?
-4
Let t(s) = s - 2. Let o be t(4). Let z be o + (2 + 1)/1. Suppose -z*b - 3 = 17. Let w(c) = -c**3 - 4*c**2 - 3*c - 6. Calculate w(b).
6
Let n = -241 - -259. Let y(w) = -2*w**2 + 37*w - 19. What is y(n)?
-1
Let s(n) = n**3 + 6*n**2 + 6*n - 5. Let i be s(-5). Let l = 11 + i. Let w(k) = -l - k - 2*k + 3*k + 2*k. What is w(5)?
9
Let j(h) be the second derivative of h**3/6 - 19*h. Let c be j(5). Let s(l) = -l**3 + 4*l**2 + 7*l - 3. Determine s(c).
7
Let i(q) = 48*q**2 - 17*q + 104. Let j(h) = 17*h**2 - 6*h + 35. Let y(s) = -6*i(s) + 17*j(s). Calculate y(-5).
-4
Let x(m) be the second derivative of -m**8/6720 - m**7/420 + m**5/120 + 5*m**4/3 - 6*m. Let f(r) be the third derivative of x(r). What is f(-6)?
1
Let y(u) = -3*u + 3. Let x be 7/(-2 + 0 + 3). Suppose -5*b - 4*t + 41 = -0*b, -4 = -4*b + 4*t. Suppose 5*a + 3*j - x = -0*j, b*j = -5. Determine y(a).
-3
Let q(w) = -w**2 + 10*w + 27. Let f be q(12). Suppose -3*d + 6 = -f. Let r(t) = 4*t + 1. Give r(d).
13
Let c(d) be the third derivative of d**5/15 + d**4/24 + d**2. Suppose 2*w + 4*o + 12 = -0, -4*o - 12 = 3*w. Suppose w = -2*h - 7 + 9. Calculate c(h).
5
Let l be 15/(2/(-1) + 3). Let p be (1 + (-3)/l)/(5/(-25)). Let d(s) = -s**3 - 5*s**2 - 2*s - 4. Determine d(p).
-12
Let c(i) = i**2 - 9*i + 13. Let b be c(8). Let o(l) = 7*l - b*l - 6*l. Calculate o(1).
-4
Let s(a) = -a**2 + 7*a - 6. Let t(v) = -9*v + 319. Let y be t(35). Give s(y).
6
Suppose 32*y - 17*y = -30. Let s(w) = w**2 + 2*w + 2. Determine s(y).
2
Let d(q) = 231*q**3 + 232*q**3 - 464*q**3 + 20*q - 19*q**2 - 13 - 5. Determine d(-20).
-18
Let w(b) = -15*b**2 + b**3 + 5*b + 6*b**2 + 3*b**2 + 4. Let t be 6 + 2 + (-3 - 0). Determine w(t).
4
Suppose 12*m + 11 = -30 - 19. Let s(c) = 7*c**3 + 6*c**2 + 7. Let p(l) = -6*l**3 - 6*l**2 - l - 6. Let k(g) = 6*p(g) + 5*s(g). Determine k(m).
4
Let a = -12 + 23. Suppose 15 + 29 = -a*r. Let c(f) = f + 3. Calculate c(r).
-1
Let c(q) be the third derivative of 0*q**3 - 38*q**2 - 1/20*q**5 + 0 + 0*q - 1/120*q**6 + 1/6*q**4. Calculate c(-4).
0
Let g = 207 - 205. Let d(k) = 4*k - 13*k + 6*k - 6*k - 1. Give d(g).
-19
Let y(k) = -2*k**3 + 8*k**2 + 8*k + 4. Let d(m) = m**3 - 8*m**2 - 10*m - 4. Let g(t) = -3*d(t) - 2*y(t). Determine g(-6).
-8
Let l(a) = -2*a**2 + 11*a + 17. Let j be 5 + (1/1)/(2 + -3). Let f(k) = -k**2 + 5*k + 8. Let r(c) = j*l(c) - 9*f(c). What is r(0)?
-4
Let m(b) = 47*b - 14*b - 29*b. Suppose 129 = 5*r + 9. Let k be ((-2)/4)/((-4)/r). Determine m(k).
12
Let v(i) = i**3 + 2*i**2 - 6*i - 2. Suppose -4*t - 5*j = -9, j = 2*t - 7 - 8. Let x be (8/t)/((-5)/15). Give v(x).
-10
Suppose -4*k + 18 = -2*z, -10 = -2*z - 6*k + 3*k. Let q(t) = 8*t**3 - t**2 - t. Determine q(z).
-8
Suppose 15 = 2*m - 3*i, -3*m + 40 = -0*i - i. Let g(k) = -27 - 5*k + 9 + m. Let d(q) = 6*q + 4. Let n(v) = 4*d(v) + 5*g(v). Calculate n(4).
-3
Let u(f) = 2 + 62*f**3 + 12*f - 61*f**3 + 5*f**2 - 9*f. Give u(-4).
6
Let h(i) = -i**2 - 8*i - 2 + 0 + 6. Give h(-4).
20
Let h(x) = x**3 - 5*x**2 - x + 6. Let y(q) = -9*q + 20*q + 5 - 6*q - q**2. Let n be y(5). Determine h(n).
1
Let z(y) = 21*y**3 - y. Suppose 3*f + 139 = 1. Let s = f + 47. Calculate z(s).
20
Let f(v) = -2*v + 44. Let u be f(19). Let c(m) = 3*m - 14. What is c(u)?
4
Let v(h) = 2*h**3 - 4*h**2 - 8*h - 12*h - 2 - 13*h + 38*h. What is v(3)?
31
Let h be 81/54*(-2)/3. Let g(j) = 34*j**2 - j. Give g(h).
35
Let f(v) be the first derivative of -v**3 - 13*v**2 + 9*v - 225. Calculate f(-9).
0
Let j(m) = m**3 + m**2 - 6*m - 3. Let o(q) = -5*q**2 - 5*q - 4. Let n be o(-1). Determine j(n).
-27
Let w(y) = y**3 + 8*y**2 - 10*y + 4. Suppose m + 17 = -3*a + a, 3*a = 2*m + 6. What is w(m)?
13
Let k(n) = -n**2 - 2*n + 6. Suppose 2*y = i + 10, -4*y + 16 + 4 = 4*i. Give k(i).
6
Let c(q) = -q**2 + 0 + 15 + 0*q**2 - 6 + 8*q + 6. Give c(10).
-5
Let n(g) = -g**3 + 9*g**2 + 11*g - 8. Let r be n(7). Let v(o) = -332*o + 1 + r*o + 166*o. Suppose t + a + 9 - 1 = 0, 0 = -3*t - a - 18. What is v(t)?
-4
Let o(p) = -2*p + 3. Let d = -68 - -71. Suppose d*b + 3*h - 18 = -0*h, -10 = -b - 5*h. Calculate o(b).
-7
Let c(x) = 5*x**3 + 3*x + 2. Let r be (1 - 6/(-18))*21/(-28). Calculate c(r).
-6
Let w(o) = 3*o**2 + 4*o**2 - 9*o**2. Let d(u) = -u**3 + 11*u**2 + u - 8. Let s be d(11). Calculate w(s).
-18
Let y(i) = 4*i**2 + 11*i + 30. Let k(j) = 8*j**2 + 24*j + 65. Let d(v) = 6*k(v) - 13*y(v). Give d(-1).
-5
Let j(s) = 4*s + 8. Let k be 1/7 - (-660)/84. What is j(k)?
40
Let x(u) = 5*u**2 + 3*u - 5 - 2 - 4*u**2 - 4*u. Let d be x(3). Let p(c) = -10*c - 1. Determine p(d).
9
Let j(x) = x - 1. Suppose 5*l + v = -28, -10*l - 4 = -9*l + v. Determine j(l).
-7
Let c(v) = 2*v + 6. Let l(o) = 3*o + 5. Let w(m) = -4*c(m) + 3*l(m). Let s be w(11). Let n(d) = -2*d - s*d + 5*d. Determine n(-5).
-5
Let n(x) = -x**3 - x**2 + 2*x - 9. Let u be n(0). Let p be 22/(-3) + ((-24)/u)/8. Let h(f) = -f**2 - 5*f + 8. What is h(p)?
-6
Let s = -80 + 83. Suppose 0 = s*h - 6 - 6, 2*h = -3*p + 20. Let k(z) = 2*z - 6. Give k(p).
2
Suppose -4*y + 4 = -4. Suppose 32 = 6*v - y*v. Suppose 3*g + v = -g. Let j(a) = -2*a**3 - 2*a**2 + 2*a + 3. Determine j(g).
7
Let p(y) = -y - 9. Let f(l) be the third derivative of l**3/6 - 2*l**2. Let c = -87 - -86. Let q(s) = c*p(s) + 5*f(s). What is q(-6)?
8
Let u(k) = k**2. Let b(s) be the third derivative of s**4/24 - 3*s**3/2 + 19*s**2. Let v be b(6). Determine u(v).
9
Let v(b) be the second derivative of b**8/6720 + b**7/1260 + b**6/720 - b**5/60 - 19*b**4/12 + 17*b. Let t(m) be the third derivative of v(m). Determine t(-2).
-4
Let g(o) = o**2 + 5*o - 2. Let h = 51 - 36. Suppose -3*c = -8*c + h. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
5*y - 2 = 0, -4*y = -o + 9 - 4 for o.
1
Let b be -5*1*3/(-5). Solve y - b*y = -2, 4*y = -2*d + 14 for d.
5
Let s be (-2 + (-36)/(-8))*(-12)/(-10). Solve -5*u = 5*n + 5, u = -2*n + s*n + 5 for n.
-3
Suppose -v = -64 + 60. Solve 0 = 4*k - 5*u - 32, -4*k + v*u + 28 = -0*u for k.
3
Let k(w) = -3*w**3 - 4*w**3 + 3*w**3 + w. Let f be k(-1). Let a be f + (-2)/(-2)*-1. Solve 0 = -2*s - a*q, -2*q - 3 = 3*s - 1 for s.
-2
Suppose -2 = -f - 3. Let l = 1 + f. Solve -3*c = -l*u - u - 12, -3*u = -c - 4 for c.
5
Suppose 0 = 5*f - 5*w, 0*w - 3 = -w. Suppose -h - m + 3 = 0, -3 + 16 = 3*h + m. Suppose -2*l - 1 = -h. Solve 5*s = -f*r - 5, -l*r = 4*s - 5*s + 12 for s.
2
Suppose -k + 12 = -0*w + 2*w, 5*w = -4*k + 33. Solve 3*f = -k*p + 6*p - 3, 0 = -3*f - 5*p - 3 for f.
-1
Let k(i) = -i**3 + 10*i**2 - 5*i - 10. Let w be k(9). Let t be 516/w - (-4)/26. Solve -2*s = -o - 3*o - t, 0 = -2*o - s - 6 for o.
-4
Suppose 11*t - 19*t = -32. Solve 2*i + 3*i + 1 = 2*n, -i - 11 = -t*n for i.
1
Suppose -5*k = -c + 4, -20 = c + k - 6. Let g = c + 13. Solve -5*w = -3*x + 13, 2*w - 2 = 4*w + g*x for w.
-2
Let p be (1 - 0/2) + -19. Let n = -13 - p. Let d(q) = -q + 9. Let i be d(n). Solve 2*h = 5*x + 3 - 1, 0 = i*h + 3*x - 4 for h.
1
Suppose b = -2*m - 2, 0 = b - 4*b - 3*m. Suppose -b*g = -2*v - 4, -4*g - v + 29 = 2*v. Solve 3*l + g = r, -r - r + l - 5 = 0 for r.
-4
Suppose -6 = -0*c - 3*c. Solve -4*o + o - 2 = 2*m, -5*o = c*m + 2 for o.
0
Let z(i) = i**2 + i - 2. Suppose -d - 4 = d. Let m be z(d). Solve 20 = 5*w - 2*s, 3*w + 5*s + 2 + 17 = m for w.
2
Let b(z) = -z**2 + 6*z + 10. Let s be b(7). Suppose s*v = -0*v + 9. Suppose 4*o - 8 = -0*o. Solve -o*u + v*u - 7 = -3*i, 25 = -u + 5*i for u.
-5
Let h = 4 + 1. Suppose -d + 5*d - 2*m = 8, 2*d - h*m = 4. Solve -x - 2*x = -d*a + 11, -4*x + 4 = 2*a for x.
-1
Let o = 19 + -14. Solve 7 = 4*g + r, -o*g - 3*r = -6*r - 30 for g.
3
Let s(i) = 4*i - 3. Let d be s(2). Suppose 4*l = d*l. Solve l*q = q + 5*v + 23, 5*q - 5*v = 35 for q.
2
Suppose x - 6 = -5*b - 19, 4*b = -12. Suppose 0 = l + 4*z + 20, 2*l + 17 = -3*z + 2. Solve -3*v = x*q - 7, 5*v - 5*q = -l*q + 20 for v.
3
Let y = 8 - 5. Suppose -8*w + y*w = -10. Solve -w = -2*s, -4*b - 3*s = -5*s - 14 for b.
4
Let n = 8 + -4. Let y be 10/n*(-16)/(-20). Suppose 0 = -2*t + 2 + y, t = -f + 6. Solve -3*z - 28 + 7 = -2*c, -20 = f*z for c.
3
Let p be (-3 + 3)/(4 + 3 + -4). Solve 5*u - 24 = -4*i, p*i - 1 = -i for u.
4
Suppose -2*o = -5*y - 3 - 32, 2*y + 10 = 0. Solve 4*u + 4*m - 16 = u, -25 = -o*u - 5*m for u.
4
Let t(p) = -p + 10. Let a = 13 - 21. Let x be t(a). Solve 5*d + g - 5 = 0, 7 = -5*g - x for d.
2
Let t(v) = -5*v + 15. Let n be t(3). Solve 5*b = -2*y + 8, n = -3*y - b - 1 for y.
-1
Let z = -13 + 10. Let x be z + -3*(-3 + 2). Solve 4*w = 5*d - 25, -4*d + 4*w + 0*w + 20 = x for d.
5
Suppose 0 = -3*o + 2*f + 25, 3*o - f = 3*f + 35. Suppose -14 = -2*y - 0*k + 2*k, 5 = -5*y - o*k. Solve 0 = h + u - 5*u + 21, -y*u = 3*h - 12 for h.
-1
Let s = -10 + 14. Solve 2*g + 6 = -d, s*g + 14 = 3*d - 8 for g.
-4
Let z = 17 - 12. Let m be 1/(1/(3/(-3))). Let b = m + z. Solve -3*t + 4*h - 19 = 0, 2*t + 2*h - b*h + 10 = 0 for t.
-1
Let r(m) = -m**3 + 5*m**2 - 3*m - 2. Let h be r(3). Let k be 30/7 + (-4)/14. Solve k*l + 0 = -c + h, 3*c - 5 = 4*l for l.
1
Suppose 5*v = a - 29, 0 = 5*v + 5 + 15. Let j = -26 - -31. Suppose 4*w - 23 = j*y + 21, -5*y - 50 = -5*w. Solve 0 = -3*d - 3*u - a - w, 3*u = -6 for d.
-3
Let g(j) = j - 2. Let n be g(2). Let d be (-2)/(-3) - (-146)/6. Suppose n*b - 5*b = -d. Solve 3*v - 6*v + 4*r + 26 = 0, 2*v = b*r + 29 for v.
2
Let j be ((-36)/14)/((-6)/28). Suppose 0 = -5*l + 3*i + j, -4*i - 1 = 15. Solve g + k = l, 3*g - 5*k - 26 = -2 for g.
3
Suppose 3 + 3 = 2*i - a, 3*a = 3*i - 6. Let y = i + -2. Solve 2 + 3 = 5*d, 2 = -4*p + y*d for p.
0
Let h = -13 + 21. Suppose f - 5*f = -h. Solve -c + 3*a = f, 4*c - 8*c + 4*a - 8 = 0 for c.
-2
Let x be 0 + 2 + 4 + -4. Solve x*h - 35 = -3*w - 2*h, -10 = -5*w + 3*h for w.
5
Let d = 4 + -1. Let k be ((-2)/4)/(d/30). Let v = k - -6. Solve -3*a = 2*u - 0*u - v, 2*a = -u - 1 for a.
-3
Let v be (-3)/(-1*3/4). Solve -4*b - 10 = 5*l - 3*l, -3*b + v*l = -9 for b.
-1
Let q be -1*(-1)/(3/3). Let h be 28 + 2/1 - q. Let t = 53 - h. Solve 0 = 7*i - 3*i - 4*a + t, a + 12 = -5*i for i.
-3
Let t(f) = 2*f + 10. Let x be t(-8). Let b = 8 + x. Suppose 0 = -b*u - 2*u - 2*l + 66, -2*u = -5*l - 63. Solve -2*n = -2*p - 0 - 14, 4*n - u = p for n.
4
Suppose -o - 2*k - 1 = 0, 2 = -3*o + 5*o + 2*k. Solve 0 = -o*t + 3*l - 9, -6 = 2*t - 6*l + 2*l for t.
-3
Suppose 14 = 4*j + 2*z, -10 = 2*j - 5*z + 1. Solve -2*m = 3*w + 4, -2*w = -w - j*m - 12 for w.
2
Let h = -13 + 16. Let i(s) = s**3 - s**2 + s + 5. Let q be i(0). Suppose -h*j + q*o + 32 = -32, 3*j = o + 56. Solve 2*v = 5*f - 11, 0*v = 3*v + 4*f - j for v.
2
Let l be (-19 + 10)*(4/18)/(-1). Solve 0 = z - 0*z + 3*y - 12, l*y = 2*z for z.
3
Suppose 3*h - 41 = -7*q + 2*q, -12 = -4*h + 4*q. Solve 3*x - 3*c + 16 = -5, -2*c = 5*x + h for x.
-3
Suppose -v - 39 = -42. Solve 0*w + w = 5*z + 12, v*z - 5*w + 16 = 0 for z.
-2
Let g be 3/(-12) - (-13)/4. Suppose 85 - 5 = 5*n. Suppose -v - 4*v + 10 = 0. Solve g*c + 4*m - v = -n, 3*m = 3*c for c.
-2
Suppose 8*j = 2 + 14. Solve -2*y - 13 + 4 = -t, j*t = -3*y - 10 for t.
1
Let w(x) = x + 14. Let n(u) = -u - 15. Let k(o) = 2*n(o) + 3*w(o). Let p be k(10). Solve -5*t = 3*b + p - 3, 2*t - 8 = 4*b for b.
-3
Let a(v) = v - 24. Let n be a(27). Solve 2*g - 7 = n*f, -2*g + 1 = 5*f - 2*f for f.
-1
Let w = -4 - -9. Suppose -4*u - 6 = -w*k + 1, -5*k = 3*u - 21. Solve -k*m + 15 = 5*d - 7, d - 3*m - 8 = 0 for d.
5
Suppose -2*s = f - 14 + 55, 43 = -f - s. Let t be (-6)/(5/(f/(-6))). Let y = t - -14. Solve 4*o - 5 = a, 0 = -2*o - 2*o + y*a + 9 for o.
1
Let b(i) be the first derivative of i**2/2 + 7*i - 2. Let a be b(-6). Suppose -2*y + 3*p = -a, 5*y + p - 16 = 4*p. Solve g - 25 = -3*k - 8, 0 = y*k - 25 for g.
2
Let a be (-4)/(-18) - 235/45. Let f be -1 - (1 + 0 - 2). Let z be (-3)/5*(a - f). Solve -z*s = -0*s + x + 6, -x = 3 for s.
-1
Let g(s) = s**3 + 8*s**2 + 9*s + 9. Let z be g(-6). Suppose -o - z = -4*h, h - 5 = 4*o + 13. Solve 5*c + 5*k - 4*k = -h, 0 = 2*k - 8 for c.
-2
Let y(v) = -v + 6. Let m be y(-6). Suppose -6*b + 28 = -2*b. Let g = 9 - b. Solve 3*r = -g*w + m, -3*w + 0*w + 13 = 2*r for w.
3
Let m be 3/(-6) + (-14)/(-4). Solve -3*y + 3*t = -9, -2*y - m*y + 3*t = -15 for y.
3
Suppose 0 = 2*k - k + 1. Let v be k/(-2 + 10/6). Let h = -43 + 43. Solve 0 = 2*r - 0*r + 5*b - 17, h = -3*r - v*b + 3 for r.
-4
Let u be (112/(-42))/((-2)/15). Solve 4*d - 16 = -4*r - 0, -5*d = -u for r.
0
Let i = 100 + -95. Solve 5*u = -i*r - 25, 2*u + u + 9 = -r for u.
-2
Suppose -22 = -5*j + k - 3, j = -4*k + 8. Suppose -j*a = -8*a + 4. Let q be 2*a/(-2) + 4. Solve 4*z = -4*c, -7*z = -q*z - 3*c - 35 for z.
5
Let g be -48 - (0/(-4) - 3). Let r be 2/(-3)*g/10. Solve 3*h - 3 = r*c, -4*c = 3*h - 5*c - 11 for h.
5
Let w(f) = -f**3 - f**2 - 2*f - 4. Let h be w(-2). Solve -k + 7 = -h*r, 5*r + k + k + 25 = 0 for r.
-3
Suppose -9 = -3*t + 2*w, t + 6*w - 14 = 3*w. Solve 2*j = -3*i + 11, t*j + 4*i - 16 = j for j.
1
Let r = 7 + 0. Suppose s + 4*h = r*h + 22, 4*s = 3*h + 43. Let f be 18/s + (-3)/(-7). Solve -4*m - 5*g = 27, f = m - 3*g - 3 for m.
-3
Suppose 0 = -3*m + 6 + 9. Suppose 2*s + s = -m*k + 16, 0 = -4*k - 4*s + 16. Solve -5*p - 25 = 0, 3*p = b + k*p - 6 for b.
1
Let t = 166 - 163. Solve -4*v = t*b, 0*b = -2*b - v + 5 for b.
4
Let r = 2 + 27. Let t = r - 12. Solve 0 = y - 3*c + 5 - t, 2*y + 5*c = -31 for y.
-3
Let m = 15 - -7. Let d = m + -7. Solve -2*a - a - 7 = y, 3*y = d for a.
-4
Suppose -3*l - 9 = -l - 3*g, 0 = 3*l - 3*g + 6. Suppose -3*k + 120 = 2*k. Let h = k - 12. Solve p + h = l*r, 5*r + 0*p + 3*p = 20 for r.
4
Let w(p) = 2*p**3 + 12*p**2 - p. Let v = 8 - 14. Let h be w(v). Solve -2*u + h = 0, -3*n + 5*u - 10 = 17 for n.
-4
Let t(x) = x + 0*x - 4*x + 2*x. Let o be t(-4). Solve -8 + 5 = -m, o*u - 23 = -5*m for u.
2
Suppose 77 = -4*p + 93. Solve 5*x - 5 = -5*b, b - p*b + 24 = -4*x for x.
-3
Let i(f) = f**3 + 10*f**2 + 7*f - 3. Let y be i(-9). Suppose 0 = -h - 5 + y. Solve -3*m = 4*u + h, u + m - 4 = -3*m for u.
-4
Let t(s) = -s + 13. Let d be t(11). Let p be 84/20 + d/(-10). Suppose -p*y - 3 = -15. Solve 3*h - y*g - 12 = 0, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
a) 0.7 (b) 8 (c) -5 (d) -12 (e) 3 (f) 1
a
Which is the closest to -1/4? (a) 2 (b) -9 (c) 69 (d) 0.3 (e) 4898
d
What is the closest to -1/3 in -0.02, -1797, -4, 0.3, 132?
-0.02
Which is the nearest to 0.1? (a) 5 (b) -1 (c) -1456 (d) -2/1093
d
What is the nearest to 161 in 64, 0.4, 0.1, 1?
64
Which is the nearest to 2? (a) -1749/8 (b) 2 (c) -4/7 (d) -2.6 (e) -5
b
What is the closest to -21/5 in 0.2, -5, -4.412, -2.9?
-4.412
What is the closest to -5 in 8733328, 3, 1/4?
1/4
What is the nearest to 7/12 in 4/7, -4/5, -948, -2/11, -1/9, 1?
4/7
Which is the closest to -2/5? (a) -126 (b) 9 (c) -0.3 (d) 88.9
c
Which is the nearest to -3? (a) 0.4 (b) 1 (c) 845 (d) -1/9 (e) -5
e
Which is the nearest to -10/49? (a) 5 (b) -1/4 (c) 13 (d) 1/3
b
What is the nearest to 1606/5 in 0, 0.4, 168?
168
What is the closest to 521 in -2, -1, -30, -52, -0.01?
-0.01
What is the closest to 4/15 in 5, -6/5, -0.439, 0.4?
0.4
What is the closest to 0.1 in 2, 7/2, 6, 63/32?
63/32
Which is the closest to -0.1? (a) -6246 (b) -6 (c) -1/4 (d) 0.4 (e) 3
c
Which is the nearest to 1? (a) -7 (b) -3454 (c) -28 (d) 2
d
What is the nearest to 0 in -0.5, -4, 2, -0.22, -0.2, -311?
-0.2
Which is the nearest to -38? (a) -1/2 (b) -66 (c) 1/5 (d) 4
b
What is the closest to -0.1 in -12, -2/25, -34524?
-2/25
Which is the closest to -12.31? (a) -1/4 (b) 205 (c) 3/4
a
What is the closest to -34 in -3/10, -27, -5, 0, 0.4?
-27
Which is the closest to -1? (a) -4/7 (b) -5/3 (c) 1010/47
a
Which is the nearest to -5? (a) -3 (b) -1 (c) 1 (d) 19805
a
Which is the closest to 38? (a) -2 (b) 41 (c) -4/5 (d) -1
b
Which is the nearest to -2? (a) -3065 (b) -176.6 (c) -0.02
c
Which is the nearest to 1? (a) -4 (b) 4 (c) 3 (d) 166 (e) -167
c
What is the closest to 491 in -0.2, -0.009, -37, -1.2?
-0.009
What is the closest to -2829 in 5, -71, 4?
-71
Which is the nearest to 2664? (a) 3 (b) -3 (c) -15 (d) 5 (e) 2
d
What is the closest to 0.06 in 0.2, -0.47, -81, -3?
0.2
What is the closest to 2 in 0, -7/13, 1/10, -1.2, -6, -1/17?
1/10
Which is the closest to 6985/152? (a) 14 (b) 2 (c) 0.1 (d) 6
a
What is the closest to 13 in 0.1, 1/5, -7/136, 1/2, 5?
5
What is the closest to 2632 in -6.2, 1/5, 0?
1/5
Which is the closest to -15428? (a) 2.5 (b) -3 (c) 3 (d) -2 (e) -4
e
Which is the closest to -2/3? (a) 69 (b) -1.3 (c) -11 (d) 11.9 (e) -2 (f) -3
b
Which is the closest to 1/4? (a) 0.01079 (b) -6/11 (c) -6 (d) 0.4 (e) -5/3
d
Which is the nearest to 1? (a) 2993598 (b) 1 (c) 0.052
b
Which is the nearest to 0.1? (a) 7 (b) -9683.77 (c) 0
c
Which is the closest to 0? (a) 57/5 (b) 2/7 (c) 1/15 (d) 3.14
c
What is the nearest to -2/285 in -9, 1, -3/13810?
-3/13810
What is the closest to -0.115 in 5, 0.2, 1, 0.1, 8?
0.1
What is the nearest to 0.3 in -0.5, -1, -1/7, 32240?
-1/7
Which is the nearest to -0.3? (a) -5 (b) -4 (c) -1 (d) -112727
c
Which is the closest to 0.02? (a) -0.3 (b) 0.2 (c) 0.1 (d) 6.9 (e) 1
c
Which is the closest to -0.1? (a) 5 (b) 24544 (c) 24/11 (d) -2
d
Which is the closest to -3? (a) -5 (b) 4 (c) -2772 (d) 83.5
a
What is the closest to 14 in 180, -0.3, 2/9, -88, 3?
3
What is the nearest to 1 in 0.5, 1, 20.43, 18, 0.2?
1
Which is the closest to 0.2? (a) 86122 (b) 7 (c) -0.3 (d) 0
d
What is the nearest to 3 in -1224, 3, 80?
3
Which is the closest to -4? (a) 4 (b) -1/7 (c) 1/8 (d) 4.094 (e) 1/4 (f) -1/17
b
What is the closest to 53 in 3.4, -5/4, 5, 221?
5
What is the closest to 0 in -1, 38, 4/3, 9?
-1
What is the nearest to 1 in 0.2, 4, -86, -2.725, 2/11?
0.2
Which is the closest to 0.1? (a) 2 (b) 0 (c) -1997 (d) 925/4
b
Which is the nearest to 134? (a) -596/13 (b) 2/9 (c) 23
c
Which is the closest to 2/23? (a) 35.7 (b) -0.5 (c) 10 (d) -1
b
What is the closest to 2/5 in 1132, 176.17, -0.2?
-0.2
What is the closest to -3 in -2/2303, -3, -26.4?
-3
Which is the closest to 10/7? (a) -10 (b) -1140 (c) -0.04
c
What is the nearest to -2 in 2/9, -0.2, -0.147, 26?
-0.2
What is the nearest to 2 in -1876, 240, 0.5?
0.5
What is the closest to -3 in 3, -8/7, -0.21, 1, 391?
-8/7
What is the closest to -0.1 in 1/18, 57, 0.31, 85, 2?
1/18
Which is the closest to 1? (a) -2/3 (b) 0.3 (c) -0.8 (d) 126.9 (e) -0.28
b
What is the closest to 2.48 in 4, -2/15, 1/4, -34, -3/5?
4
Which is the closest to 41/3? (a) 1/7 (b) 4/121 (c) 1 (d) 5
d
What is the nearest to -1 in -5, 0.2, 12, -497?
0.2
What is the closest to -4/13 in 4, -92, 5, -0.2, -3/25?
-0.2
What is the closest to -20 in -6/5, -3/16, -91/12?
-91/12
What is the closest to -1 in -2/3, -96, -4550, -0.5?
-2/3
What is the nearest to 131 in -10/1607, -3, 0.1?
0.1
What is the closest to 4/33 in 0, -252/19, 0.2, -75?
0.2
Which is the closest to 1/3? (a) 0.8 (b) -2/7 (c) 12.064 (d) 42/23 (e) -0.4 (f) 4
a
What is the nearest to 1 in 21, -6, 0.07, 73?
0.07
Which is the closest to 3? (a) 95 (b) 14/9 (c) -1/6 (d) 4 (e) -26 (f) -4
d
What is the closest to 10 in -1518, -2, -10/11?
-10/11
Which is the nearest to -15? (a) -4/5 (b) 7208 (c) -0.4 (d) -4 (e) 0.5
d
What is the nearest to 15 in -13, 3/4, 27, -266?
27
What is the closest to -1/4 in 12, 5/6, -35/4, 5, 1/9?
1/9
Which is the nearest to 2? (a) 2/21 (b) -730 (c) -635
a
Which is the closest to 121? (a) 0.037 (b) 7.1 (c) 1
b
What is the nearest to -1 in -12, -0.4, -0.05, -12379?
-0.4
Which is the closest to -2/7? (a) 1/12 (b) -2/5 (c) -15 (d) 8/3 (e) -159 (f) 3
b
What is the closest to -1/2 in -2/19, -8, 0.34165, 0.4?
-2/19
Which is the closest to 1/2? (a) 7.858 (b) 12 (c) -1/11 (d) -0.2
c
Which is the nearest to -2/5? (a) -4 (b) -1 (c) 1470 (d) -6 (e) -60
b
Which is the nearest to -10? (a) -0.1 (b) 0.6 (c) 0.07 (d) -2/67
a
Which is the closest to -0.02? (a) 13695 (b) 0.1 (c) -4/7
b
Which is the closest to -0.03? (a) 3 (b) -22 (c) -4/13 (d) -7 (e) -4
c
What is the closest to 0.1 in -3, 2/3, -6, -1/20, -2?
-1/20
Which is the nearest to 2/3? (a) 6358038 (b) -2/17 (c) 1/6
c
What is the nearest to 1/4 in 8939, 13, 4, 0.3, -1/12?
0.3
Which is the nearest to -6? (a) 5/7 (b) 1 (c) 5/2 (d) -654 (e) 6/11
e
What is the closest to -289 in -8, 0.38, 7, 3/4?
-8
Which is the nearest to -0.064? (a) -0.022 (b) 2/13 (c) 2 (d) -1118
a
What is the closest to 4363 in 23.9, 0.1, 2?
23.9
What is the closest to 372 in 1/5, 0.13, -2, -1/9, -0.02?
1/5
Which is the nearest to 1? (a) -4 (b) 0.072825 (c) 4/29 (d) -0.3 (e) -1
c
Which is the closest to -0.1? (a) -1/24537 (b) 2 (c) -0.3 (d) 3/5 (e) 1/4
a
What is the nearest to 1/58 in 2/5, -164, 2, -0.2, -3/7, -0.8?
-0.2
Which is the closest to 23045? (a) -2 (b) 0.01 (c) -4 (d) 3
d
What is the nearest to 16 in -1/6, -0.005, -27, -142?
-0.005
What is the nearest to -0.3 in 6957, 0.206, -0.4, -1?
-0.4
What is the nearest to -5/6 in -56/3, 27/4, -3, 0.3, -5/2, -0.07?
-0.07
What is the nearest to 4/3 in 0.1585, 215, -3/10?
0.1585
What is the closest to -16.1 in 125, -1, -0.2?
-1
What is the nearest to -1079 in -20, -2/11, -2/9?
-20
Which is the closest to 2/5? (a) -2 (b) -243.8 (c) -49
a
Which is the closest to -218/11? (a) -0.3 (b) -90 (c) 1/4 (d) -1/8 (e) -3
e
What is the closest to -128.75 in -2/3, -10, -2, -1?
-10
What is the closest to 318 in 0.18, -7, 4, -11, -1.3?
4
Which is the nearest to 0? (a) -355963 (b) -0.8 (c) 3 (d) -1/2 (e) 6/7
d
Which is the closest to -4562? (a) -0.3 (b) -3 (c) -2 (d) 0.3 (e) 0.37
b
Which is the closest to 0.5? (a) 5 (b) -0.13 (c) 0.9 (d) -127 (e) 1/7
e
Which is the closest to 5? (a) 27 (b) -0.5 (c) -5 (d) 11/140 (e) -0.4
d
What is the closest to 0.2 in -4/117, -1/3, -3, -0.2, -1, -317?
-4/117
What is the nearest to 0.2 in 1/4, -242396, -1.3?
1/4
What is the closest to 0.1 in -0.2, 0.2, 105549/4?
0.2
What is the nearest to -2/5 in 2/9, -388.2, -0.1, -45?
-0.1
Which is the closest to 0.385? (a) 0.8 (b) -1/4 (c) 1/5 (d) 6 (e) 1/9
c
What is the nearest to 1 in -149, 164/643, -2?
164/643
Which is the closest to 1? (a) -156 (b) -1024 (c) -1/8
c
Which is the closest to 3/2? (a) 2.45 (b) -0.48 (c) -12 (d) -52 (e) 0.4
a
What is the nearest to 4 in -3/2, 20, 0.16, -94, -3/4?
0.16
Which is the nearest to 1/4? (a) -5 (b) -3 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
he second derivative of 55892*p*v**2 - 202*p*v - 48*p - 817*v**2 + 8280*v wrt v.
111784*p - 1634
What is the third derivative of 408*j**2*n**3 + 320*j**2*n**2 - 2*j**2 - 12941*j*n**3 - 2*j + 8*n**3 - 32*n + 133 wrt n?
2448*j**2 - 77646*j + 48
What is the derivative of 50*v**3 + 10142*v - 34407249?
150*v**2 + 10142
What is the third derivative of 724567*s**5 - 7*s**4 + 10236014*s**2?
43474020*s**2 - 168*s
Find the third derivative of 8581672*j**6 - 6*j**2 + j + 623598 wrt j.
1029800640*j**3
What is the third derivative of -755494*i**3 - 16379120*i**2?
-4532964
Find the second derivative of -175991*q**3 - 11*q**2 + 191297440*q.
-1055946*q - 22
What is the second derivative of -15186842*v**5 - 2*v**2 + 5481116*v?
-303736840*v**3 - 4
What is the third derivative of -1128781*m*n**3*u - 18*m*n**2 + 103*m*n - 92*n**5*u + 17104*n**2*u wrt n?
-6772686*m*u - 5520*n**2*u
What is the first derivative of -34*p*x**2 - p*x - 15592*p - 8198403*x**2 wrt p?
-34*x**2 - x - 15592
Find the second derivative of 2686*p**5 + 181*p**2 - 4*p + 130805 wrt p.
53720*p**3 + 362
Find the third derivative of -26*m**4 + 719932*m**3 - 23*m**2 + 7980144 wrt m.
-624*m + 4319592
What is the second derivative of 51*n**5 + 66710*n**3 - 19199613*n wrt n?
1020*n**3 + 400260*n
Find the second derivative of -237429*l**2*u + 224*l**2 + 7*l*u + 720*l + 4*u + 1588 wrt l.
-474858*u + 448
What is the third derivative of 659066071*q**4 + 21*q**2 - 22071175?
15817585704*q
Find the third derivative of 318107669*u**5 - 310773138*u**2 wrt u.
19086460140*u**2
Find the third derivative of 12457*o**4 - 1135*o**3 + o**2 + o - 17187510 wrt o.
298968*o - 6810
Find the third derivative of 151125337*m**3*v**4 + 62686024*m**3*v - 2*m**2*v**2 wrt v.
3627008088*m**3*v
Find the second derivative of -6670303*v**5 - 4436357*v.
-133406060*v**3
What is the derivative of -785043*g**4 + 48*g**2 - 66218407?
-3140172*g**3 + 96*g
What is the third derivative of 5998799*m**4 - 13*m**2 + 2483*m - 4 wrt m?
143971176*m
What is the first derivative of -2907849*l**2 + 2*l - 8179430?
-5815698*l + 2
Find the second derivative of -13*a**3 + 351277*a**2 - 30449485*a wrt a.
-78*a + 702554
What is the third derivative of -4*t**3*v**4 - t**3*v**2 - t**2*v**2 + 2*t**2*v + 70*t*v**4 - 4*t*v - 3025*t + 44614*v**3 - 6*v**2 wrt v?
-96*t**3*v + 1680*t*v + 267684
Find the third derivative of -2*d**3*n**2 - 669*d**3*n - 175*d**3 - 3319*d**2*n**2 - 695*d**2 wrt d.
-12*n**2 - 4014*n - 1050
Find the second derivative of -74227068*d**5 + 2528477*d - 13 wrt d.
-1484541360*d**3
Find the second derivative of -5*b**2*l - 4906*b**2*z**2 + 1650*b**2*z - b*l*z**2 + 9*b*l*z - 3*b*z**2 + 22*z**2 + 15 wrt z.
-9812*b**2 - 2*b*l - 6*b + 44
What is the derivative of -2222865*a**3 + 2*a + 15472033?
-6668595*a**2 + 2
Find the second derivative of 81*h**3 + 5569*h**2*m + 10558546*h*m wrt h.
486*h + 11138*m
What is the third derivative of 25*z**4 + 97125*z**3 + 9994766*z**2?
600*z + 582750
What is the second derivative of 6*f**4*o**2 - 130038*f**2*o**3 + 2*f*o**3 + 98*f*o - 40977*o**3 wrt f?
72*f**2*o**2 - 260076*o**3
What is the third derivative of 9*t**4 - 2619191*t**3 + 807468*t**2 + 11?
216*t - 15715146
What is the second derivative of f**3*i**2 + 36*f**3*i - 3*f**3 + 48053*f**2*i**2 + 3*f**2*i - 29*f*i**2 + 5*f*i + 5*f - 231*i wrt i?
2*f**3 + 96106*f**2 - 58*f
Find the second derivative of 318*h**3*o**2 - 46*h**3*o - 25*h**2*o - 395*h*o**2 - h*o + h + o**2 + 1707*o wrt h.
1908*h*o**2 - 276*h*o - 50*o
Find the third derivative of -729746*l**5 + 4*l**4 - 6287291*l**2 - 1 wrt l.
-43784760*l**2 + 96*l
What is the third derivative of -131206160*p**6 - p**2 + 592*p + 59783?
-15744739200*p**3
Find the second derivative of 387*g*o*v**2 + 63*g*o*v - 127*g*o + 3*g*v**2 - 85*g*v - 105*o*v**2 wrt v.
774*g*o + 6*g - 210*o
What is the third derivative of 56334050*f**4 - 16847973*f**2?
1352017200*f
Find the second derivative of -12353179*a**3 + 15*a + 2369104.
-74119074*a
Find the second derivative of -437*n**4 + 4086*n**3 + 59*n**2 - 12*n - 34292575.
-5244*n**2 + 24516*n + 118
Find the second derivative of 27693690*a**5 + 3507413*a.
553873800*a**3
What is the third derivative of 2909530*z**6 - 17*z**2 - z + 220506 wrt z?
349143600*z**3
What is the first derivative of -92118*k**2 - 1015*k - 276772895 wrt k?
-184236*k - 1015
Find the third derivative of 3020*u**5 - 6075*u**4 + 2*u**2 + 256026*u + 1 wrt u.
181200*u**2 - 145800*u
What is the third derivative of -1046654*k**4 - 65308*k**2 - 446 wrt k?
-25119696*k
Find the third derivative of -10*i**2*r**3 + 2*i**2*r**2 + 9066048*i*r**3 - i*r**2 + 2*i*r + 40*r**2 - 12*r - 3544 wrt r.
-60*i**2 + 54396288*i
What is the derivative of 68548695*v + 69023912 wrt v?
68548695
What is the first derivative of 2*v**2 - 12840952*v + 10323912 wrt v?
4*v - 12840952
Find the third derivative of -10118848*u**5 + 5967552*u**2.
-607130880*u**2
Differentiate -1223*y**3 + 1239*y**2 + 33468887.
-3669*y**2 + 2478*y
Differentiate 273*r**4 + 17662*r**2 + 168493942 with respect to r.
1092*r**3 + 35324*r
What is the third derivative of -495941934*b**3 + 159268554*b**2 wrt b?
-2975651604
Find the second derivative of -533695*g**2*u + 96*g**2 + g*u + 2*g - 1849*u - 902 wrt g.
-1067390*u + 192
Find the third derivative of 494614220*q**6 - 150342*q**2 + 4*q - 17.
59353706400*q**3
What is the third derivative of -22088958*v**6 - 4*v**2 - 2*v - 146317 wrt v?
-2650674960*v**3
What is the third derivative of 7548796*n**5 + 83955*n**2 - 4 wrt n?
452927760*n**2
What is the third derivative of -13342805*i**5*u + 7*i**4*u**3 + 84*i**2*u**3 + 62557*i*u**3 wrt i?
-800568300*i**2*u + 168*i*u**3
Find the first derivative of -4923583*d*s - 3397667*d + 2*s**4 wrt s.
-4923583*d + 8*s**3
Find the second derivative of -7254118*o**2 - 136352*o - 7.
-14508236
What is the first derivative of -1562692*n**3*r - n**3*z**3 + 43*n**3*z**2 + 85*n**3 - 6*n**2*r*z**3 + 23*n**2 + 2*z wrt r?
-1562692*n**3 - 6*n**2*z**3
Differentiate 47066279*u + 26615411 with respect to u.
47066279
Find the second derivative of 2*b**2*c**2 + 400*b**2*c - 2*b**2 + 144255989*b*c**2 - 7*b*c - 2035 wrt c.
4*b**2 + 288511978*b
Find the second derivative of -1653056*k**2 + 10827*k - 15 wrt k.
-3306112
Differentiate 32214268*n**3*t - 27237460*n**3 with respect to t.
32214268*n**3
Find the second derivative of 53827032*y**2 - 7941*y - 4181 wrt y.
107654064
Find the second derivative of -43*b**2*r**3 - 865*b**2*r**2 + 58*b**2 - 287*b*r**3 + 3477*b*r**2 - 2*r**3 wrt b.
-86*r**3 - 1730*r**2 + 116
Find the second derivative of 2*g**2*o**2 + 3*g**2*o*t**2 + g**2*o*t - 6*g**2*t**2 + 3758762*g*o**2*t**3 + 2240*g*o*t + 3*g*o - 2*t**3 wrt o.
4*g**2 + 7517524*g*t**3
What is the second derivative of 11859*a*p**4 + 3604*a*p**2 + 4428*a + 1719*p + 3 wrt p?
142308*a*p**2 + 7208*a
Find the second derivative of 3622*j**5 + 11*j**3 + 2262*j**2 - 5350863*j - 2 wrt j.
72440*j**3 + 66*j + 4524
Find the third derivative of -899687445*j**3*q**3 - 2*j**2*q**2 + 1421*j*q**3 - 311*j wrt j.
-5398124670*q**3
Find the first derivative of -17468195*c**3 + 12863936.
-52404585*c**2
What is the third derivative of 16637300*z**4 + 15401158*z**2?
399295200*z
What is the first derivative of -110901392*u + 91971791?
-110901392
What is the derivative of 964031343*r + 181783161 wrt r?
964031343
What is the second derivative of -86676*m**2*x**2 + m**2 - 3*m*x - 2*m + 2*x**4 - 22*x**2 + 63684*x wrt x?
-173352*m**2 + 24*x**2 - 44
What is the second derivative of -2*p**3 - 232614*p**2*q**2 - 4*p**2*q - 8531638*p*q**2 wrt p?
-12*p - 465228*q**2 - 8*q
What is the second derivative of 139127508*w**2 - 463636931*w?
278255016
Differentiate -f*i**2 + 1449*f*i - 3*f*x**3 + 6*f*x + i**2*x**3 - 4354*i**2*x**2 - 2*i**2 - i*x**3 + 14*i*x with respect to f.
-i**2 + 1449*i - 3*x**3 + 6*x
Find the third derivative of -1683401*i**3 + 3175*i**2 + 1142*i wrt i.
-10100406
Differentiate 8974*x**4 + 763*x**3 + 13859336 with respect to x.
35896*x**3 + 2289*x**2
What is the second derivative of -61357190*i**2 + 441194365*i wrt i?
-122714380
Find the second derivative of -2*i**2*t**2 + 1604156*i**2*t - 2*i*t**2 - 111011122 wrt i.
-4*t**2 + 3208312*t
What is the first derivative of -a**4 + 2*a**3 - 421*a**2 + 136*a + 8691948?
-4*a**3 + 6*a**2 - 842*a + 136
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -6. Suppose 3*g + 3*p - 273 = 0, -5*g = t*p + 310 - 759. Suppose -4*k + 4*x + g = 0, -6*x = -x - 15. Does 11 divide k?
False
Let q(z) = z**2 - 8. Suppose 0 = 4*t + 3*j - 11, -5*t = -j + 2*j - 22. Suppose n = t*n - 24. Does 14 divide q(n)?
True
Is 9 a factor of (180 - 21) + 1*3?
True
Let g = -71 + 103. Let r = 5 + -10. Is 5 a factor of 2/(-5) - g/r?
False
Let w = -9 + 15. Let j = w - 4. Is 2 a factor of j?
True
Suppose 0 = -4*s - 3 + 11. Suppose 2*w = -s + 6. Suppose -4*u + w*c + 74 = 0, 35 - 1 = 2*u + 2*c. Is u a multiple of 18?
True
Suppose 0 = -3*m + 11 + 1. Suppose o - 28 = -4*l, -l - 3 = -m. Does 24 divide o?
True
Let i be -5 + 4 + (0 - -1). Suppose 0*r = l - r - 37, 3*l - r - 111 = i. Is 13 a factor of l?
False
Let j = 8 + -8. Suppose -5*k + j*k + 600 = 0. Suppose 0 = -5*c + c + k. Is c a multiple of 15?
True
Let m = -4 + 5. Let c(j) = 8*j**3 + j**2 - 1. Is c(m) a multiple of 8?
True
Let o = -137 - -244. Does 10 divide o?
False
Suppose 62 = 3*n - 19. Suppose -n = 5*l - 77. Is l a multiple of 3?
False
Let b(j) = j**2 + 5*j - 2. Does 22 divide b(3)?
True
Let a be ((-8)/(-12))/((-2)/(-9)). Suppose m + 0*m = a. Suppose -k - 84 = -m*k. Is k a multiple of 14?
True
Let z(r) = r - 48. Let s(p) = 3*p - 144. Let d(f) = -3*s(f) + 8*z(f). Does 16 divide d(0)?
True
Suppose -2*s + 0*s = -8. Suppose 4*w = -g - 5, s*w + 5*g + 1 - 8 = 0. Does 3 divide 2*((-11)/(-2) + w)?
False
Let o = 10 - 14. Let v(r) = r**3 + 4*r**2 - 5*r - 2. Is 7 a factor of v(o)?
False
Suppose -4*f = s - 8, -3*f + 16 = -3*s - 5. Does 9 divide (2 - 38)*3/s?
True
Let d(v) = v**2 - 6*v - 6. Is 10 a factor of d(8)?
True
Let m(h) = -h**3 - 7*h**3 - 3*h**3 + h. Let f = -6 + 5. Is m(f) a multiple of 10?
True
Suppose -2*f + 5*x = -10, f = -3*x - 2 + 7. Suppose -5*i - j + 10 = 31, -f*j = 3*i - 5. Let m(y) = -y**3 - 4*y**2 - 4. Is 11 a factor of m(i)?
False
Suppose -x = -5*l, -x - 64 = -4*x - l. Is 5 a factor of x?
True
Suppose 23 = 5*a - 32. Let n(x) = -x**3 + 12*x**2 - 6*x - 14. Does 14 divide n(a)?
False
Let c(l) = 2*l**2 + 2*l - 1. Let n(v) = -3 - 2*v + 3*v + 2 + 6. Let i be n(-7). Is c(i) even?
False
Let h(c) = 23*c - 29. Does 27 divide h(7)?
False
Let i = 153 - 43. Is i a multiple of 22?
True
Let n = 85 + 25. Suppose 2*o = -i + 37, 18 = -4*o + 4*i + n. Let h = o - -13. Is h a multiple of 13?
False
Let z(m) = m - 1. Let t(f) = -f + 2. Let o(j) = -6*t(j) - 13*z(j). Let x be o(-5). Suppose 9*n - 4*n = 3*s - 108, n = s - x. Is 14 a factor of s?
False
Suppose -2*c = 5*d - 29, 0*d + 4*d = 20. Suppose c*s = 3*s - 12. Is s a multiple of 4?
True
Let l = 22 + 8. Is 6 a factor of l?
True
Let o(a) be the first derivative of 9*a**4/4 - a**3/3 + a + 5. Is o(1) a multiple of 8?
False
Let q = 323 - -722. Let u = -1650 + q. Does 6 divide u/(-35) + 2/(-7)?
False
Let d be 2*15*(-10)/3. Let n(u) = 2*u. Let m be n(5). Is (-8)/m*d/8 a multiple of 8?
False
Let i(n) = 9*n**2 - 5*n + 2. Is 4 a factor of i(2)?
True
Suppose 3*r + 3 = 5*t - 0*t, -4*t = -2*r - 4. Suppose -r*o - 9*a = -4*a - 93, -5*a = -5. Suppose o + 23 = s. Does 12 divide s?
False
Let w(d) be the first derivative of -3*d**2/2 + d - 1. Let u be w(-1). Suppose f - u*f = -60. Is f a multiple of 15?
False
Let r = 1 - 0. Let k = r - 1. Suppose k = 4*x - n - 69, 3*n + 2 + 1 = 0. Is x a multiple of 6?
False
Suppose 3*m - 153 = 2*a - 6*a, -2*m + 3*a + 119 = 0. Does 11 divide m?
True
Suppose 0 = 2*s - 7 - 3. Suppose a = -4*x - 9, -34 = 5*a + 4*x - s. Let n = a + 7. Is n even?
True
Suppose -5*j = -3*b - 29, 2*b + 3*j - 14 = -2*j. Let r be (-2)/(-6) - (-64)/b. Does 3 divide (-23)/(-7) - (-6)/r?
True
Let t = 42 + -19. Is t a multiple of 23?
True
Suppose 4*j + 58 = 274. Does 18 divide j?
True
Let o(d) = d**2 - d + 3. Is 15 a factor of o(-6)?
True
Suppose 0 = -n + 3*n - 42. Suppose 5*r - 19 = n. Does 6 divide r?
False
Let a be 0 + (2 - -1) - -31. Let j = a + -6. Does 14 divide j?
True
Let z(r) = -6 - 8*r + 1 + 4. Is 12 a factor of z(-3)?
False
Suppose 0 = i - 10 - 31. Does 10 divide i?
False
Let k = 0 - 0. Suppose -q + 47 - 2 = k. Is 12 a factor of q?
False
Let x(q) = -q**3 + q - 7. Is 5 a factor of x(-3)?
False
Let n(p) = -5*p + 3. Let r be n(2). Let c = -3 + 13. Let s = c - r. Is s a multiple of 17?
True
Suppose -2*m - 2*m - 276 = -4*z, -m = -3*z + 199. Is 28 a factor of z?
False
Suppose -2*a - 24 = 2*a. Let v be -255*(-3)/((-27)/a). Let j = -120 + v. Is j a multiple of 21?
False
Suppose -2*h = -3*t + 18, 0 = -2*t + 4*h + 4 - 0. Does 3 divide t?
False
Let j be -3 + 6*(-8)/(-6). Suppose -44 = 3*c - j*c. Is c a multiple of 6?
False
Let n be -1 + 3 + (1 - -25). Suppose -2*w + n = 2*w. Is w a multiple of 2?
False
Suppose 25 = 4*d + d. Let l(t) = t - 1. Let w be l(d). Suppose -55 = -w*c + 3*c. Does 21 divide c?
False
Let k(g) = 43*g**2 - 3*g + 2. Is k(1) a multiple of 9?
False
Let q be 18/(-27)*(-15)/2. Suppose -4*g = -q*h + 56, -5*g = 4*h - 53 - 0. Does 6 divide h?
True
Let d = 20 - -22. Is d a multiple of 7?
True
Suppose -2*f - u - 5 = 0, 5*u - 30 = 2*f - 7. Does 7 divide (-1)/f - (-385)/28?
True
Suppose 0 = 2*q - 5*q + 141. Does 6 divide q?
False
Suppose 3*i = i + 4. Suppose -5*t + i = -3. Does 2 divide 5 - (t - (0 + 1))?
False
Suppose 0 = 3*s - 2*y - 110, 3*s - 2*y - 100 = 2*y. Does 12 divide s?
False
Let k = -25 + 131. Is k a multiple of 13?
False
Let i be (2 - (-2 - -2)) + 1. Let x = 9 - i. Suppose x*u - u - 50 = 0. Is u a multiple of 5?
True
Let z = 1 - -1. Suppose -z*s - s + 12 = 0. Is 7 a factor of (15/9)/(s/24)?
False
Let j(b) = -b**3 - 6*b**2 + 5*b + 10. Let g be j(-7). Suppose -14 = -q - 2*u, -q - g = -3*q - 2*u. Does 5 divide q?
True
Suppose 2*p - 183 - 153 = a, -3*a = -4*p + 670. Is 13 a factor of p?
True
Let m(t) = 51*t - 8. Let x(o) = 17*o - 3. Suppose -a - 4*a = 5*s - 75, 0 = 5*s + 2*a - 63. Let i(h) = s*x(h) - 4*m(h). Is 11 a factor of i(-2)?
True
Let w = 100 - 39. Does 6 divide w?
False
Let d(v) be the third derivative of v**6/120 + 11*v**5/60 - v**4/24 - 3*v**3/2 - 2*v**2. Let h be d(-11). Let j(y) = 4*y**3 + 2*y**2. Does 20 divide j(h)?
True
Let a(t) be the first derivative of -4*t + 2 - 1/4*t**4 - 5/2*t**2 + 2*t**3. Does 3 divide a(4)?
False
Let g = 26 + -15. Suppose -5*u = g - 91. Is u a multiple of 8?
True
Let z(b) = -b**3 - b**2 + b + 1. Let f(s) = s**3 + s**2 - 6. Let c(a) = f(a) + 2*z(a). Does 8 divide c(-3)?
True
Let y(o) = o**2 - 7*o - 5. Let m(w) = w**2 - 2*w + 6. Let p be m(3). Is y(p) a multiple of 6?
False
Let d be 4/16 - (-7)/4. Suppose 1 = -d*m + 21. Suppose 0 = j + 4*q + 10, 0*q = -2*q - m. Does 10 divide j?
True
Let t be (-1)/((1/2)/1). Does 7 divide 21/(-3)*(1 + t)?
True
Suppose 0 = s - w + 4, -2*s = 3*s - w. Let y = s + 1. Suppose -2*m + y*h + 32 = 4*h, 0 = -4*m - 2*h + 56. Is m a multiple of 6?
True
Let k(i) = i**3 + 10*i**2 + 8*i + 8. Is 26 a factor of k(-6)?
True
Let o(y) = y + 1. Let s(k) = 6*k**2 - 6*k - 5. Let d(b) = 6*o(b) + s(b). Is d(-1) a multiple of 2?
False
Let x(t) = 4*t - 1. Is 4 a factor of x(4)?
False
Let p = 0 - -2. Is 8 a factor of 1 - (p/(-1) + -6)?
False
Suppose -3*t + 65 + 235 = 0. Suppose -7*r + 2*r + t = 0. Is 10 a factor of r?
True
Let g(o) = o + 8. Let t be g(-8). Suppose t = 3*i - 5 - 4. Is i a multiple of 3?
True
Let q = 25 - 53. Let f = -20 - q. Suppose -c + 14 + f = 0. Is c a multiple of 11?
True
Let g(i) = -i**3 - 4*i**2 - 5*i - 6. Does 7 divide g(-4)?
True
Suppose -3*w - 16 + 121 = 0. Is w a multiple of 9?
False
Suppose -2*y - 3*y = 5*m - 455, 3*y = 3*m + 291. Is 20 a factor of y?
False
Suppose 3*n = n - 2*k + 86, -4*n + 4*k = -140. Suppose 4*v = v - 6, -n = -3*b + 3*v. Does 11 divide b?
True
Suppose -60 = -2*j - 4*a, 0*j - 4*j + 3*a + 120 = 0. Is 6 a factor of j?
True
Suppose -28 = -3*h - h. Is h a multiple of 3?
False
Let x(n) = -n**2 + 3*n + 6. Let s be x(6). Let g be s*(5/(-2) - 1). Suppose 0 = -w + 4*w - g. Is w a multiple of 14?
True
Is ((2 - 3) + 15)/((-2)/(-38)) a multiple of 10?
False
Let p(y) = y. Is 3 a factor of p(12)?
True
Suppose 4*h - 75 - 5 = 0. Does 13 divide h?
False
Does 26 divide -3 + 6*84/8?
False
Let n be (-31)/(-1) - (-2)/1. Does 4 divide ((-10)/(-15))/(2/n)?
False
Let f(i) = 3*i**2 - 5*i - 7. Is 11 a factor of f(5)?
False
Suppose -i = -4*i + 12. Suppose -i = -4*u - 0. Let x = u - -4. Is x a multiple of 2?
False
Suppose q + 3*t - 99 = 0, -5*q + q = t - 374. Is q a mu
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose a + 47 = -5*n - 0*a, -n = 5*a - 5. Let b be 714/51 - (-14)/(-2). Let u be -2 + (b - (n + 5)). Solve 2*c = -3*z + u, -2*c - 3*z = -3*c - 13 for c.
-1
Let l be 183/(-3 - 0 - -2). Let r be (-3)/18 - l/18. Let n be 4/(7 + 1)*r. Solve -5*u - n*o = -0*u + 30, 0 = -o - 4 for u.
-2
Let c = 19182 - 19177. Solve 25 = -c*h, 5*y + h = 57 - 42 for y.
4
Let j be 13*60/130 - -1*2. Suppose -4*u + 4*g + 16 = 0, 9*u = j*u + 4*g + 10. Solve 2*i = 5*b, 3*i + u*i + 2*b = 29 for i.
5
Suppose -621 + 531 = -30*s. Suppose 4*r - 3 = 5*a, r - 2 = 4*a - 4. Solve -r*z + j - s = 0, 0 = 5*z - 0*z - 2*j + 6 for z.
0
Let v = -13 + 18. Suppose 3*x - 34 = -4. Let y(k) = -2121*k - 12726. Let h be y(-6). Solve h = -v*a - 3*m - x + 22, 5*a - 2*m + 8 = 0 for a.
0
Let s be (-2)/16 - (-1270)/(-80). Let x be -23*2/s + 4/32. Solve -x*m + 5 = b, 0 = -3*b - 8 - 4 for m.
3
Let d = -108 - -104. Let k be (d - 0) + 76 + -2. Let j = k + -68. Solve 0 = -j*g - 4*a, 3*a = 3*g + a + 16 for g.
-4
Let g(o) = -4*o + 10. Let n(t) = -2*t**3 - t**2 - 19*t - 18. Let x be n(-1). Let v be g(x). Solve 0 = -2*p + v, -4*b + 6 = -p + 3 for b.
1
Let n be (18/(-81))/((-2)/18). Let i(a) = 5*a + 3. Let t be i(3). Suppose 19*j = t*j + n. Solve -4*h = p - j*p + 11, -4*p = 3*h - 6 for h.
-2
Let l be 14/2 + (-24)/8. Suppose 4*c = -n - 4, l*n = 3*c + 2*c + 5. Solve -1 = -3*t + 4*y, n*t - 5*y - 10 = -2*t for t.
-5
Let n = 51 + -47. Suppose 0*j + 25 = 5*j, 0 = -b - n*j + 24. Suppose 0 = m - b. Solve 6*h = s + 2*h - 16, 4*h + m = 4*s for s.
-4
Let q = -350 - -71. Let i = q + 284. Solve 10*s - 5*s = 3*v + 6, 9 = -2*v + i*s for v.
3
Let x(t) = 5*t - 30. Let h be x(10). Suppose 0*q + h = 5*q. Suppose -q*n = -n - 6. Solve 0 = -4*k + 4*v + 12, 2 = -n*k - 5*v + 1 for k.
2
Let a = 88 - 82. Let t be a/21 - (-1)/14*24. Let f = -3 - -6. Solve 2*i + t = 2*q, -3*i = -f*q - 4*i - 9 for q.
-2
Suppose 6*a + 1988 = 4802. Let x = a + -468. Solve -2*o + 5 = -5*s, 0 = -4*s + 2*o - o - x for s.
1
Suppose 113 = 14*c + 46 - 339. Solve 18 = 4*y - 3*p, c*y = 32*y + 4*p - 1 for y.
3
Let j be ((-177)/(-59))/(21/14). Solve -4*w = -3*h + 3, -2*w + 6*h - j*h = 14 for w.
3
Let b = -44204 + 44209. Solve 92*r = -u + 91*r + 1, -5*u - 25 = -b*r for u.
-2
Let u(i) = -220*i - 1294. Let l be u(-6). Solve 0 = -4*y - 5*h + l, 67*h - 4 = -3*y + 71*h for y.
4
Suppose -91*o + 12*o - 12*o = 0. Solve o = -x + 4*r - 6, 0 = -3*x + 6*r - 4*r + 2 for x.
2
Let q = 928 + -887. Solve 4*l + 31 = 3*t, 5*t - q = -22*l + 26*l for l.
-4
Let a be (-894)/(-8) + (-6)/(-24). Let k = a + -112. Solve q - 2 = -3*q - s, k = 3*q - 5*s + 10 for q.
0
Suppose 3*k - 4*r - 8 = 0, 4*r - r - 36 = -3*k. Let x(u) = -u**3 + 9*u**2 - 9*u + 11. Let a be x(k). Solve v - 3*c = a*v - 6, -4*c + 10 = 2*v for v.
-3
Suppose -32*x = -44*x - 2364. Let h = -197 - x. Solve -3*d - 4*j + 5 = -h*j, -3*j = -5*d - 40 for d.
-5
Suppose -63*c + 56*c + 504 = 0. Suppose 0 = -4*o + 8 + c. Solve -4*d + 5 = -3*k, 5*d + k - 2*k - o = 0 for d.
5
Suppose 5*k = -m - 18, -59*m + 56*m + k = -10. Solve -2*t + 4 = -2*b, -5*t - m*b = -10*t + 4 for t.
0
Let j = -71 - -76. Suppose -5*a - 2*t - t = -10, 2 = a - 3*t. Solve 0 = 5*s - j*x - 15, 3*s + 4*x + 3 = -a for s.
1
Let m = 23 - 17. Suppose w + 4*g + m = 7, -4*w + g + 21 = 0. Suppose -r + 4*d + w = 0, -2*r - 2*d + 48 + 2 = 0. Solve -r = -3*l - 3*p, -p + 9 = 2*p for l.
4
Let s(d) = d**3 - 8*d**2 + d - 5. Let l = -373 - -381. Let w be s(l). Solve k - 14 = -w*y, -8 = 2*y - 3*y - k for y.
3
Let d be (2/3)/(-2) + (-2352)/(-144). Suppose -5*o - 2*w = -3*o - d, -17 = -4*o - w. Solve 5*r = 2*p + 2*p - o, 5*p = r + 9 for p.
2
Suppose -4*z - j + 17 = 0, 12 = 236*z - 234*z + 4*j. Solve -3*v - 5*i + 37 = -0*v, -5*v - z*i + 40 = 0 for v.
4
Suppose -10*t + 2 = -18. Let u be 1*t - (-5 + 8) - -4. Solve 3*q + u*f + 16 = 7*f, -4*f + 16 = -q for q.
0
Suppose 20 = -0*v + 5*v, 2*v + 822 = -5*t. Let o = t + 166. Let s = 2 - 0. Solve -l - 3 = o, 12 = s*y + l - 3*l for y.
3
Suppose 0 = -r - 3*r + 5*f + 1091, r - 270 = 4*f. Suppose 26 = 4*u + r. Let g = -59 - u. Solve 3*z - 3 = -0*z, -13 = g*p - 4*z for p.
-3
Let p(k) = 11*k - 133. Let x be p(17). Suppose 13*d + 14*d = x. Solve -o - 3 = 3*n, -d*o = -5*n - 19 + 3 for n.
-2
Let c(k) be the first derivative of -k**4/2 + 3*k**3 - 3*k**2/2 - 2*k - 45. Let g be c(4). Solve 0 = -4*r - 12, g*q = -2*q + 5*r + 31 for q.
4
Let u be ((-25)/30*-2)/(5/6). Suppose -2*m - u*m = 5*h - 37, 0 = m - 3. Solve -f + 9 + 8 = -3*r, 0 = 5*r - h*f + 45 for r.
-4
Let k(z) = -4*z**2 + 143*z - 272. Let v be k(32). Solve 2*a + 4 = 0, -204*a = 3*m - v*a - 11 for m.
1
Let q be (40/15)/((-4)/(-6)). Suppose 585*p - 564*p = 42. Let n be 8/6 + (-6)/(-9). Solve 0*g + n*k + p = -4*g, 20 = -q*k for g.
2
Let c be ((-3 - -8) + -4)/((-2)/318). Let i = 159 + c. Solve i*g = -2*g - 2*d + 2, -16 = -g + 4*d for g.
4
Let q(r) = -7*r + 100. Let n be q(-14). Let j = -193 + n. Solve 0*b + b = 4*s - 9, 4*s - j*b - 13 = 0 for s.
2
Let y(n) = -2*n**3 + 28*n**2 + 37*n - 816. Let k be y(13). Solve -s - 4 = k*s, 2*i = 3*s + 11 for i.
4
Let g(h) = h + 33. Let m be g(16). Let q = -43 + m. Let a(u) = u**3 + 16*u**2 + 26. Let w be a(-16). Solve -3*b - 3*k - q = 0, -4*k - w = -2*b - 0*k for b.
3
Let r = 5262 + -5250. Solve -5*i + 10 = 0, 0 = -r*m + 9*m + 5*i - 16 for m.
-2
Let u(q) = q**3 - 4*q**2 - q + 7. Let w be u(2). Let f be (w/((-30)/76))/(4/10). Solve 5*d + 2*z - f = 0, -2*d + 8 = z - 0*z for d.
3
Suppose -p + t = 0, 589 = -4*p - 4*t + 613. Solve -6*r - 6 = -3*u - p*r, 0 = 2*u + 4*r - 4 for u.
2
Let p(c) = -c**2 - 32*c - 163. Let q be p(-7). Solve -3*t - 19 = 4*a, 0 = -t + 4*a + 3 + q for t.
-1
Suppose 0 = 3*y - 7*y - 584. Let g = y - -157. Solve 3*h - c + g = h, 0 = h - 5*c + 10 for h.
-5
Let b(p) = -2*p + 40. Let m(u) = -4*u - 48. Let n be m(-17). Let y be b(n). Suppose y = 39*h - 40*h + 5. Solve h = 5*z - 3*v, 3*z - v + 4 = 3 for z.
-2
Let s be (-870)/(-240) + 3/8. Suppose -j + 0*j + 11 = s*b, 5*b = -j + 15. Suppose -2*q + 6*q = 4. Solve 0 = a - 6 + q, l = -b*a + 21 for l.
1
Suppose -60*m = -63*m + 4*o - 26, 0 = 3*m - o + 2. Solve -m*z + 8 = 3*q - 10, 4 = 2*q for z.
6
Let g = 301 - 236. Let s = 69 - g. Solve -s*d = 4, 3 - 9 = -3*b + 3*d for b.
1
Let i be (-90)/40*(-72)/81. Solve 0 = -i*u + 3*u - 4*t + 14, 3*u = -4*t + 22 for u.
2
Let j = 152 - 158. Let r(w) = -11*w - 63. Let h be r(j). Solve 5*g = -3*i - 16, h*g + 5 + 3 = -i for i.
-2
Let c = -91 + 165. Let m = 74 - c. Suppose -84 = -m*x - 6*x. Solve x = -5*a + 2*d, -3*a - 3*d = 34 - 13 for a.
-4
Suppose 5*a - 1110 = -5*u, -8 = u - 9. Let d = a - 201. Solve -6*w + 4*w = -4*g - 22, -w + 5*g = -d for w.
5
Suppose -3*b - t - 1174 = -1494, 0 = 5*b + 4*t - 545. Solve a + 2 = 2*o, -3*o + b*a - 11 = 100*a for o.
3
Let y = -11558 - -11580. Solve -5*p = -4*c - 15, -y = 4*c - p - 3 for c.
-5
Let t be ((-30)/570 - (-885)/(-513))*-9. Solve -3*x = 5*i + t, -2*i - 3*x - 5 = 5 for i.
-2
Suppose h + 3*u - 17 = -0*u, 29 = 3*h - 2*u. Let a(w) = -w**2 - 74*w + 491. Let q be a(-80). Solve q = -3*v + f, -3*f + h = 3*v - v for v.
-2
Suppose -32*q = -2*q - 120. Suppose -3*t = -2*x - 7, 0 = q*t + t - 4*x - 11. Solve d = 4*d - 3, -5*d = -t*i + 7 for i.
4
Let u = 683 - 1109. Let t = -423 - u. Solve -t*h = k + 10, 5*h = -3*k - k - 5 for h.
-5
Suppose -130 + 213 = 4*x - 281. Solve i - x*s + 4 = -95*s, 0 = 5*i + 3*s + 20 for i.
-4
Let s = -13909 - -13912. Solve -3*k - s*z - 9 = 0, 3*z - 11 = 42*k - 40*k for k.
-4
Let b(q) = -4*q**2 + 22*q + 8. Suppose -6*f - 40 = -70. Let z be b(f). Solve 0 = 2*p + 2*n - z, -2*p + 2*n = -n + 7 for p.
4
Let m be 3009/33 - 10/55. Let k = -99 + m. Let a be k/(-28)*(1 - -6). Solve w = 2*w + a*z + 6, 3*w + 2*z = -10 for w.
-2
Let p(n) = 9*n**2 - 12*n + 128 - 14*n**3 + 13*n**3 - 131. Let m be p(7). Solve -3*w + 2*x + 10 = 0, -2*x - 3 = -4*w + m for w.
4
Let x be 1 - (33/(-27) - 8/(-36)). Suppose -x*o + 2*p - 142 = 0, 5*o + p + 379 = -0*o. Let w = o - -80. Solve 2*v - 10 = l, -w*v + v = -5*l - 26 for l.
-2
Let t = 183 - 114. Let y = t + -67. Solve y*r = -6, 0*r = -3*m - 3*r - 15 for m.
-2
Suppose -2*s + 8*s = 0. Suppose -d + 363 - 359 = s. Solve -36 = d*u - 0*u + 4*f, 3*f = -12 for u.
-5
Let r = -3948 + 3952. Solve -a + r*l = -6, 17 - 11 = -5*a + 2*l for a.
-2
Let r(n) = -19*n + 664. Let d be r(34). Solve 0 = 29*i - 25*i - 2*o + d, -2*o = -5*i
|
{
"pile_set_name": "DM Mathematics"
}
|
r**2 - 6*r - 7. Let p be b(7). Suppose 18 = 3*m + 2*z - 4*z, -2*m - 2*z + 22 = p. Suppose -m + 30 = 2*c. Is c a multiple of 11?
True
Let g(j) = j**3 + j**2 + j - 1. Let m be g(1). Is 2 a factor of 7/(-2)*(-4)/m?
False
Suppose -5*m + 295 = 5*r, -174 = -2*r - r - 4*m. Is r a multiple of 15?
False
Let m = 163 - 97. Is 22 a factor of m?
True
Does 35 divide (-154)/(-4) + 5/(-10)?
False
Let w(k) = -k**3 - 2*k**2 - 6*k. Suppose -4*n - 5*s = 45, -30 = 2*n - n + 5*s. Is w(n) a multiple of 35?
True
Suppose 7*x - 15 = 2*x. Suppose 0 = -x*t - c + 4, 0 = -c - 2. Is t even?
True
Let t = 3 + -1. Let g = 1 + t. Let k = g - -17. Is 14 a factor of k?
False
Let r be 2/3*(-3)/1. Let i(n) = -2*n**3 - 2*n. Is 10 a factor of i(r)?
True
Suppose 4*x = 3*h + 425, 167 = 2*x + 4*h - 73. Let v(w) = -w + 1. Let m be v(-2). Suppose 8*t = m*t + x. Does 11 divide t?
True
Let l(w) = 6*w + 2. Suppose 5*v + 2*v - 35 = 0. Is l(v) a multiple of 16?
True
Suppose -3*r - 3*g + 354 = 0, -g + 625 = 5*r - 3*g. Is 31 a factor of r?
False
Let f(a) = 19*a**2 + 5. Suppose p = -67 + 25. Let z(w) = -161*w**2 - 42. Let d(u) = p*f(u) - 5*z(u). Is 7 a factor of d(-1)?
True
Let c be 7*(-1 + 2) + -1. Let i be c*(0 - 1)*1. Is 18 a factor of ((-3)/i*-106)/(-1)?
False
Let m(w) = w**3 + 6*w**2 - 5*w - 8. Let f(i) = -3*i**3 - 11*i**2 + 10*i + 15. Let l(d) = 2*f(d) + 5*m(d). Let c be l(7). Is 5 a factor of (-3 + -15)*c/(-6)?
False
Suppose -3*u + 134 = 2*j, j - 3*u + u - 81 = 0. Does 14 divide j?
False
Let p be (10/3)/((-8)/(-372)). Let k = p + -98. Is k a multiple of 19?
True
Let t(i) = i**3 - 4*i**2 + 2*i + 3. Let y be t(3). Let p(f) be the third derivative of -f**5/60 - f**4/24 + 5*f**3 + 2*f**2. Does 15 divide p(y)?
True
Suppose -26 = 2*c - 206. Is (20/(-25))/((-2)/c) a multiple of 12?
True
Suppose -j - 15 = -2*j. Let d = -18 + 26. Let f = j - d. Does 6 divide f?
False
Let s(z) = -z**2 + 6*z - 3. Suppose -4*c - j + 29 = 2*j, -25 = -2*c - 5*j. Let t be s(c). Suppose t*p - 124 = -22. Is p a multiple of 13?
False
Let c = -72 - -108. Let x = c - 7. Is 12 a factor of x?
False
Let n(l) = -2*l**3 - 5*l**2 - 3*l. Let i(s) = s**3 - 7*s**2 + s - 10. Let y be i(7). Let x be n(y). Let k = 8 + x. Is 10 a factor of k?
False
Suppose -2*g - 4*z = g - 53, 2*g = -z + 37. Suppose 0 = 3*j - g - 62. Is j a multiple of 9?
True
Let z be -5 + 3 + 2 + 2. Suppose 3*k + 4*f - 34 = 0, -k + z*f = f - 23. Is 9 a factor of k?
True
Let l = 302 + -215. Suppose -4*u + 5*v - l = 0, 0*u - 4*v - 78 = 5*u. Let p = u - -36. Does 12 divide p?
False
Suppose 3*i - 5*d = 4*i - 29, -154 = -4*i - d. Suppose 0*m + i = 3*m. Is m a multiple of 13?
True
Let g(s) = -82*s. Let i be g(-4). Let p = i + -103. Suppose 0*o = 5*o - p. Is 16 a factor of o?
False
Suppose 3*b - 14 = 1. Suppose 3*a + 20 = b*a. Is a a multiple of 7?
False
Let y = 77 + -36. Is 26 a factor of y?
False
Let t be (-2)/8 - 2/(-8). Suppose t = 3*r + 5*v - 41, 0 = 4*r - v - 2*v - 45. Does 9 divide (-8)/r + (-29)/(-3)?
True
Suppose -2*l = 5*i + 12, l = -4*i - 0*l - 12. Let g(j) = 2*j**2 + 4*j - 2. Is g(i) a multiple of 7?
True
Let d be -2 - (-1)/(-3 - -2). Let m = d - -6. Suppose s = m*q - 5, 5*s + 0*q - 65 = -3*q. Is 5 a factor of s?
True
Let h(d) = -d**3 + 18*d**2 - 9*d - 12. Does 11 divide h(17)?
False
Let f be -34 + 5/(10/(-4)). Let n = f + 52. Suppose -n = 4*t - 68. Is t a multiple of 6?
False
Suppose 11*w = 8*w + 63. Is w a multiple of 7?
True
Does 2 divide (2 - -14*3)*1?
True
Suppose 4*g - 4*r - 100 = 0, 6*r - r + 105 = 4*g. Suppose 2*k - 2 - g = 0. Suppose k = 4*b - 5. Is b a multiple of 3?
False
Suppose 15 = 3*z, 2*r = -0*r - 3*z + 33. Is 7 a factor of r?
False
Let t = 7 - -70. Suppose 3*g = t - 23. Is g a multiple of 9?
True
Let y(r) = r + 16. Is y(-7) a multiple of 5?
False
Let x(c) = 8*c**2 + 53. Does 31 divide x(6)?
True
Let n = 17 + -8. Suppose -d - 3*g = -0*g + n, 2*g - 2 = -2*d. Is d a multiple of 3?
True
Suppose -v + 4*b = -2*v + 72, 3*v - 216 = 2*b. Is 12 a factor of v?
True
Suppose 3*g = -5*q + 123, 73 = 4*q - q + 2*g. Let x = q + 22. Does 13 divide x?
False
Suppose -q + 3 = 6. Let c = 6 + q. Is c a multiple of 2?
False
Let p(q) = 104*q - 2. Let h be p(1). Let d = h - 58. Does 11 divide d?
True
Suppose -4 = -x - 2. Suppose 5*b - 152 = 4*a, -x*a = 2*b - 4*a - 62. Let q = -20 + b. Is q a multiple of 3?
False
Let a = -7 - -7. Suppose -3*h + 2*h + 28 = a. Does 14 divide h?
True
Let n(l) = l**3 + 10*l**2 + 9*l + 8. Let u be 2/(2 + 0 + 0). Let g be u/2 + 38/(-4). Does 3 divide n(g)?
False
Let a(h) = -h**2 + 5*h + 6. Let v be a(6). Suppose 0*q + q - 48 = v. Suppose o - 36 = -3*i + 5*o, 0 = -4*i - o + q. Does 12 divide i?
True
Suppose -2*q + 40 = s, -2*q + 4*s + 4 = -46. Does 7 divide q?
True
Suppose -3*h = -12, 6*s + 2*h - 378 = s. Is 3 a factor of s?
False
Let g(i) = i - 4. Let d be g(6). Let v(s) = -3 - 2 - s + d. Is v(-5) even?
True
Let u(c) = -c**2 + 31*c + 19. Let f(x) = -6*x - 4. Let s(g) = -11*f(g) - 2*u(g). Is s(-5) a multiple of 16?
False
Let l = -3 + 12. Let p(h) = h + h**2 + 7 + 1 + l*h. Does 5 divide p(-10)?
False
Let d(g) = -10*g**2 - 2*g + g**3 + 2*g. Let k be d(10). Suppose k = -3*q + 4*j + 98, 2*j = -q - 0*q + 46. Is q a multiple of 21?
False
Let o = 14 + -10. Suppose o*w - 4 = 4*x, 2*x - 6*x + w = -8. Is 3 a factor of x?
True
Suppose -4*h + 68 = -96. Does 10 divide h?
False
Suppose 0 = f - 2*z - 125, 4*f + 27 = -z + 500. Is f a multiple of 17?
True
Let o be (-1)/((-2)/4) - -3. Suppose 2*l + o = 3*l. Suppose 2*t + 4*h - 8 = 0, 57 = 3*t - 4*h - l. Is t a multiple of 10?
False
Let q be 40/6 - 5/(-15). Let x(d) = -3*d**3 + d + 4*d**3 - 2*d**2 - q*d**2 - 4 + 0*d**2. Is x(9) a multiple of 5?
True
Let b = -92 + 12. Let i = -56 - b. Is 8 a factor of i?
True
Let x(t) = 8*t - 6. Let m be x(6). Suppose 10 = -4*y + m. Is y a multiple of 8?
True
Suppose m + 1000 = 5*m. Suppose 110 + m = 5*k. Suppose 3*i = i + k. Is 20 a factor of i?
False
Let r(b) = b**3 + 10*b**2 + 8*b - 2. Let y be r(-9). Suppose 3*v + 6*z = 3*z + 9, 4*v = -3*z + y. Is (174/(-9))/(v/3) a multiple of 14?
False
Suppose 0 = -3*i + 9 + 18. Is 17 a factor of (-912)/(-27) - (-2)/i?
True
Let i = 0 + 5. Suppose -i*p + 46 = 6. Is p a multiple of 8?
True
Let a be -1477*(-1 - 0/(-2)). Let q be a/77 - (-4)/(-22). Is (1 + -2)*(1 - q) a multiple of 9?
True
Let n(q) = q**2 - q - 2. Let c be n(3). Suppose -d - 5 = 3*m, -c*d + 3*d = -5*m + 5. Suppose 5*x + 5*b - 155 = m, -3*x - 4*b - 46 = -144. Is x a multiple of 11?
False
Let d(k) be the third derivative of -k**4/8 - 3*k**3/2 + k**2. Is 4 a factor of d(-6)?
False
Let o(h) = h**2 + 7*h - 9. Suppose -4*y = 2*t, 20 = -0*t - 4*t - 3*y. Let d be o(t). Is 8 a factor of d/(-2)*2*16?
True
Let n(z) = -7*z + 6. Is n(-5) a multiple of 28?
False
Suppose -3*f - 2 = -t + 21, 79 = 3*t + f. Does 26 divide t?
True
Let k be 305/20 - 1/4. Let b be 50/k*(-15)/2. Let f = b + 40. Is 4 a factor of f?
False
Let u(s) = 17*s**2. Let n(a) = a**3. Let f be n(-1). Is 17 a factor of u(f)?
True
Let r(f) = -4*f**2 - 12*f + 8. Let d(i) = -7*i**2 - 25*i + 16. Let y(o) = 3*d(o) - 5*r(o). Is 11 a factor of y(-14)?
True
Suppose -5*y = 5, u + 10 - 50 = -3*y. Does 11 divide u?
False
Suppose -2*z = l - 8, -5*z - 5 = -3*l - 14. Let i = z - -11. Does 14 divide i?
True
Let s(p) = p - 1. Let z be s(-1). Is 9 a factor of (38 + -3)*(-1 - z)?
False
Suppose 0 = -2*h + 2*b - 70, -3*h + 4*b - 97 = 3*b. Let j = h - -91. Is 16 a factor of j?
False
Suppose -29 = -m + 27. Is 21 a factor of m?
False
Let y(m) be the second derivative of 11*m**3 + m**2/2 - m. Let d be y(1). Suppose -5*t - d = -4*p, 14 + 36 = 3*p - 4*t. Is p a multiple of 15?
False
Suppose -7*z + 268 = -4*z + w, 0 = -5*w + 5. Does 21 divide z?
False
Suppose 6*j - 5*j = 0. Suppose 5*k + j*k - 10 = 0. Suppose -5*r - 2*a = -2*r - 49, 0 = -r - k*a + 15. Is 17 a factor of r?
True
Does 16 divide (-6)/((-1)/2*(-4)/(-48))?
True
Let m(t) = t**2 - 9*t + 6. Let u be m(8). Let q = u + 8. Suppose c - q = -c. Is 2 a factor of c?
False
Let j be (-4)/(-12)*(2 - 2). Suppose 3*r - 3*f - 72 = j, -5*f + 2*f - 91 = -4*r. Does 8 divide r?
False
Let n(t) be the first derivative of 2*t**3 + 2*t**2 + 4*t - 8. Does 23 divide n(-3)?
True
Suppose -11*i = -82 - 149. Does 21 divide i?
True
Suppose -3*p = -7 - 5. Suppose -f = -3*c, -2*f = -p*f + 4*c + 2. Suppose -q + 4*u = 3*q - 8, f
|
{
"pile_set_name": "DM Mathematics"
}
|
552, -4555, -4558, -4561?
-4564
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-1990521
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-2848
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5866534
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-2105427
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533468
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75050
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-236401
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-4183664
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16174
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2058608
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481910
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-8813362
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-1913
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2681447
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60347796
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129791385
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-365778
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-46464
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24300158
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35
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5734726
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-25395
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-10382
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-839094
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-128831
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1008608
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-42598702
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30238
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101108
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-20125
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17789994
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-371999
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407423
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-29026
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-27685
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-37543
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-67850
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-41051
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4820255
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-447068
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49208
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12063980
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-909771
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-473042
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3394
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-3241
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14873521
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-129691
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-12703
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95287
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-2936620
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-50772
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51983403
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-42259735
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21636
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3114586
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54859
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-2840875453
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-85975
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-204614
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372950938
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133240439
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111911857
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-820504
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-41473
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-218090
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10721
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-1074275
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-1552854
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-68767
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3314191
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-927788
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40220
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347218894
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-145396
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-96272
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-37351760
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565775
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31515183
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-48308
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-54680
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77884
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169810325
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-271249
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-100833
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164640
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163548
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1669000
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143390
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-124776
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204391
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3469
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9364012
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281630
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-59032
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68469
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-21069977
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-7366077
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-1826376
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-10427
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43150
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27301
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55085892
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1970881
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188983
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23095777
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86747
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-302484
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-329818
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-37289
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125688
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29714
What is next in 7712,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3. Solve c - i*c - 1 = 0 for c.
-1
Let f(x) = x**2 - 3. Let h be f(-2). Let z be 0/(h/((-4)/(-8))). Solve 2*i - 4 + 6 = z for i.
-1
Let v(u) = -3*u - 3. Let z be v(-2). Suppose -5*m + z*g - 18 = -6, 3*m - 12 = -3*g. Solve m*o + 1 = -o for o.
-1
Suppose -5*b + 9 = -3*x, 5*b + 0*x = 5*x + 5. Let m(l) = 4*l - 3. Let n be m(b). Solve 1 + n = 2*c for c.
5
Let a(k) = -3 + 3 - 9*k - 2. Let p be a(-2). Let z be 3 + 2 + (-4)/4. Solve z = 4*x + p for x.
-3
Let t be (4 + 48/(-20))/(2/5). Solve 2*f = 4*f - t for f.
2
Let s be (-1 + 0)/(11/(-33)). Solve s*n = -n - 20 for n.
-5
Let t be ((-9)/18)/(3/(-42)) - 4. Suppose -5*r + 5 = -5. Solve -1 = r*f - t for f.
1
Let u(f) = 5*f**2 + 2*f + 1. Let d be u(-1). Suppose -4*k + 8 = 3*x - d, 0 = 5*k + 5*x - 20. Suppose k = -o - 2 + 4. Solve -3*j - o = -8 for j.
2
Let f(r) = 6*r + 22. Let h be f(-3). Solve -3*j + h = j for j.
1
Let l = -3 + 6. Let s = -1 + l. Solve -9 = -s*u - 1 for u.
4
Suppose 3*u - 29 = -4*v, 0 = 2*v - v + 4*u - 4. Suppose 4*o = -w + 2*w + v, -3*o = -w - 6. Solve o*m = -2*m - 12 for m.
-3
Let r(x) = x**2 - 3*x**2 + x**2 - 4*x. Let y be r(-3). Suppose y - 11 = -4*k. Solve k*h + 8 = 4*h for h.
4
Let f = 0 - 3. Let q be -2 + 4 - (-1 + 1). Let u = q - f. Solve 4 + u = 3*c for c.
3
Let t(p) = p. Let o be t(6). Let a = o + 14. Solve 0 = -5*g - 0*g + a for g.
4
Suppose -3*q + 3*r = 3, r = -3*q - 2*r + 15. Suppose 6 = q*l - 2. Solve l*y - 5*y - 1 = 0 for y.
-1
Let s = 11 + -6. Solve s = 4*p + 1 for p.
1
Suppose -2*g + 14 = 4*b, b - 2*g = -2 - 2. Suppose b - 6 = -2*l. Suppose 4*x = l*x. Solve 2*j - 5*j + 3 = x for j.
1
Suppose -9 = n + 2*n, -5*f + 55 = -5*n. Suppose 2*t - f = -2*o, 5*o - 3*t = -t + 6. Solve 0 = o*y + 2*y for y.
0
Let c(s) = s**2 + s**3 + 18 - 4*s + 12*s**2 + 5*s. Let x be c(-13). Solve 2*z = x - 13 for z.
-4
Suppose 3*t - 3*v = 114, 2*t + 118 = 5*t - 2*v. Suppose k = -5*s + 39 + 60, -2*s + 2*k + t = 0. Solve 0 = 4*i + s for i.
-5
Let z(h) = h**2 + h + 2. Suppose -g - 5*b = 27, -2*b - 2 = -3*g + 2. Let n be z(g). Solve 3*i = n*i - 5 for i.
5
Let c be -3 - 5*(0 + -1). Solve 4 = -c*a - 4 for a.
-4
Let b(q) = 3*q + 7. Let y(p) = -4*p - 6. Let c(x) = -3*b(x) - 2*y(x). Let f be c(-9). Solve f*s + s = 3 for s.
3
Let o(r) = 2*r**3 - 13*r**2 - 6*r - 7. Let f be o(7). Solve 10*n - 5*n - 10 = f for n.
2
Let q be 192/30 - (-2)/(-5). Solve -y + q = y for y.
3
Let q(b) = -b**2 + 11*b - 8. Let s be q(7). Suppose 3*l = 0, -3*l + s = -3*d - 4. Let p = -3 - d. Solve 2*k - p = -13 for k.
-4
Let b(t) = -t**3 + 9*t**2 + 2. Let c be b(9). Solve 0 = -c*o - 4 - 4 for o.
-4
Let k be 8/(-2) - -2*2. Solve -4*v + 0 + 20 = k for v.
5
Let u(a) = -6*a + 1. Let m be u(1). Let l = m + 9. Solve 0 = -s + l for s.
4
Suppose -98*k = -93*k. Solve 5*o - o = k for o.
0
Let c = 19 + -17. Solve -c*q - 15 = 3*q for q.
-3
Let q be (-90)/(-11) - (-4)/(-22). Suppose 0 = 5*f - 3 - 17. Suppose 0 = -f*x - 4*d + 40, -d - 3*d + 20 = 0. Solve 0 = x*c - q - 7 for c.
3
Suppose 5*k + 5 = -m - 2, -4*m + 8 = 2*k. Suppose 29 + 40 = m*y. Solve 5*j = -y - 2 for j.
-5
Let z(w) = 2*w**2 + 8*w - 10. Let g be z(-5). Solve 4*d + g + 16 = 0 for d.
-4
Suppose 10*k - 15 = 5*k. Let f(d) = d**2 - 7*d + 6. Let r be f(6). Solve r = -z - k*z - 16 for z.
-4
Suppose -7*w + 72 = -3*w. Suppose -5*a + w = 3. Solve a*s = -s for s.
0
Suppose -2*x + 3*v - 9 = 0, -x = -0*v + v - 8. Solve -12 = 6*r - x*r for r.
-4
Let f = 103 + -98. Solve -f*q = -0*q + 25 for q.
-5
Let h(p) = 3*p. Let z = -7 - -5. Let w be h(z). Let j be (-38)/w + 7/(-21). Solve -v + 1 - j = 0 for v.
-5
Let s = -2 + 11. Let h be (-1)/((-3)/s) - -2. Solve 0*z - h*z = -10 for z.
2
Suppose -h - 5*q + 16 = 0, 2*h - 2 = 2*q + 3*q. Let n(w) = 2*w - 6. Let s be n(4). Solve 0*r = s*r + h for r.
-3
Let d be ((-1)/(-2) - 0)*2. Suppose 7 = s - n, -s - 3*n = -5*s + 23. Solve o + s = -d for o.
-3
Let q = 2 - 0. Solve -8 - q = 5*n for n.
-2
Let q(z) = -7*z**3 - 4*z**2 + 11*z + 3. Let t(u) = -6*u**3 - 4*u**2 + 10*u + 2. Let n(w) = 5*q(w) - 6*t(w). Let g be n(-5). Solve g*j + 0*j - 6 = 0 for j.
2
Let r(k) = 2*k**3 - 5*k**2 - 3*k + 2. Let z be r(3). Solve -3 = z*f - 7 for f.
2
Let u(w) = w**3 + 4*w**2 + 2*w + 2. Let z be u(-2). Solve z = -5*n - 4 for n.
-2
Let p = -1 + -2. Let k = 5 + p. Solve -3 = -k*j + 3*j for j.
-3
Suppose 2*q = -5*t + 9, 5 = -0*q + 2*q + t. Suppose 0 = q*z + 4*j - 22, 4*z - 5*j = 3*z - 17. Solve -2 = -z*w + 4 for w.
2
Let c = -53 + 56. Solve 2 = c*k - 1 for k.
1
Let x(b) = b**3 - 16*b**2 + 16*b - 15. Let m be x(15). Suppose m = -4*s - 0*s. Let i = 0 + 15. Solve s*f - i = 3*f for f.
-5
Let b(y) = -1 - 5 + 0 - 3*y + 0*y. Let l be b(-4). Solve 3*q + l = -0*q for q.
-2
Suppose -3*h + 9 = -3. Let r be h/(-10) + 54/10. Suppose -5*q = -4*q + r, -3*q - 40 = -5*w. Solve b = -0*b + w for b.
5
Let f = -11 - -20. Let u = -6 + f. Let b be (-168)/(-36) + 2/(-3). Solve u*a - b*a + 1 = 0 for a.
1
Let q = 14 - 6. Let d = q - 5. Solve 0*u = d*u for u.
0
Let y be (-21 - 0) + (5 - 4). Let t be (-2 + -4)/(6/y). Solve -7*v = -3*v - t for v.
5
Suppose h + 1 = -1, h - 22 = -4*a. Solve -4*o - a = -o for o.
-2
Let t be (-6)/(-33) - 40/(-22). Let a(g) = g**3 - 2 - 4*g**2 - g + 6*g**2 - 4*g**2. Let i be a(3). Solve i*w - t*w = 4 for w.
2
Suppose 0 = 4*q - 5 + 1. Let k = 1 - q. Let p be 22/8 - (-24)/(-32). Solve k = -p*l - 2*l - 12 for l.
-3
Let f = -2 + -2. Let i be (-46)/(-11) - f/(-22). Suppose -2*s + i*s = 0. Solve -b = -s*b for b.
0
Let d = -4 - -4. Suppose 2*v - 12 = -d*v. Solve 2*g - v*g + 4 = 0 for g.
1
Let s be (1 - -8*3) + 2. Suppose 2 - s = -5*n. Let c be (-30)/9*81/(-45). Solve n*q + c = 1 for q.
-1
Let m = 7 - 3. Suppose -5*s + m*h = 3*h - 23, -16 = -s + 4*h. Solve s*a = -0*a - 8 for a.
-2
Let q(l) = l + 3. Let j be q(2). Solve -3*p - 2 = -j*p for p.
1
Suppose -2*z - 136 = 2*z. Let i = -24 - z. Let t = 86 - 81. Solve -t*y + i*y - 20 = 0 for y.
4
Let w be (-3)/((-27)/(-30))*-3. Solve -w - 10 = 4*f for f.
-5
Let z(p) = 3*p**2 + 15*p + 1. Let x be z(-5). Solve 4*r + 15 = -x for r.
-4
Suppose 2*r + 4*f = -r - 4, -3*r - 3*f = 0. Let i be -1 - (2 - r - 0). Suppose 3*o = 4*k - i, 2 = 2*o + 2*k - 16. Solve 5 = -0*g - o*g for g.
-1
Let z = 18 + -12. Let h = -6 + z. Suppose 0 = -h*f - f. Solve -3 = -f*o - 3*o for o.
1
Let x = -1 + 6. Suppose n = -2*n + 9, -x*n + 11 = -c. Let b = 1 + c. Solve -4*y - y = b for y.
-1
Let d = -10 - -16. Let l be (-23)/(-7) - d/21. Solve -6*o - 12 = -l*o for o.
-4
Let o(a) = -a**3 - a**2. Let f be o(-2). Let s = -2 + f. Suppose -s*c - 5*h + 1 + 1 = 0, h = 3*c - 3. Solve -3*w + 16 = c for w.
5
Let g(q) = q. Let y be 75/(-10)*12/(-10). Let a be 21/y + 3/(-9). Let h be g(a). Solve h*f + 2 = -4 for f.
-3
Let v(z) = z - 5. Let k(b) = -13*b - 1. Let g be k(-1). Let y be v(g). Solve -2*l = -y - 1 for l.
4
Suppose -20 = -5*v + 10*v. Let i = v - -5. Solve -i = -n + 3 for n.
4
Let d = 5 + -7. Let s be ((-3)/(-5))/(d/(-10)). Suppose s*c = 2*c. Solve -p - 3 = -c for p.
-3
Suppose -10*p = -6*p - 36. Solve 0*q + 3*q + p = 0 for q.
-3
Let f be ((16/(-4))/(-4))/1. Suppose 0 = 8*y - 4*y - 36. Solve y = -4*v + f for v.
-2
Let m(w) = -3*w**2 + 41*w - 26. Let c be m(13). Suppose -l + 0*l = 0, 2*v + l - 10 = 0. Solve -v*f = -c*f for f.
0
Let v = -9 - -26. Suppose 0 = a - c - 3, -3*a + v = 4*c - 6. Solve -a = 3*g + 4 for g.
-3
Let p be (1/2 - 1)*0. Let i(u) = u**3 + 3. Let d be i(p). Suppose -d*x - a = -14, 5*x + 0*a = 4*a + 46. Solve -x*v = -3*v + 12 for v.
-4
Let v be (-86)/(-24)*3 + 3/(-4). Solve -h + v = -6*h for h.
-2
Let k be ((-2)/(-3)*6)/(-2 - -3). Solve 5*b = k*b for b.
0
Let n(f) = f**3 + 2*f**2 + 4*f + 6. Let x be n(-3). Let c = x - -17. Solve -b = c*b - 15 for b.
5
Let b be 15/(-20) - 81/(-12). Suppose 22 + b = 4*t. Solve t*w - 2*w = 20 for w.
4
Let o(n) = n**2. Let l(b) = b - 4. Let w be l(3). Let a be o(w). Let f(c) = c - 1. Let r be f(a). Solve r = -4*k + 6*k + 8 for k.
-4
Let f(a) = 5*a - 23. Let u be f(5). Solve -u*g + 0 - 2 = 0 for g.
-1
Let k(w) = -w**2 + 7*w - 3. Let g be k(6). Let b = 4 + 13. Solve 4*r + g + b = 0 for r.
-5
Let f be 6/4*(-4)/6. Let n = 0 + f. Let k be n + -1 + 5 + -1. Solve 3*v = v + k for v.
1
Let t(i) = -i**3 - 3*i**2 + i. Suppose 4*u - 5*h + 9 + 3 = 0, 4*u + 12 = 2*h. Let y be t(u). Let g(k) = -3*k + 3. Let d be g(y). Solve 2*v - 2 = -d for v.
-5
Let n(j) = -j**2 + 11*j
|
{
"pile_set_name": "DM Mathematics"
}
|
- h - 2. Let q be j(3). Let x = 71 + q. Suppose 3*r - 2*a = -7*a + 2227, -x*r = -4*a - 2209. Is r a composite number?
False
Let d = 2 - 5. Let o be (-1 - d)/(2/(-3)). Is 1/(9/o)*-291 a prime number?
True
Suppose 46*c = 37*c + 99783. Is c prime?
True
Let c = -29 + 34. Suppose 2 + 2 = 3*r + s, -20 = -2*r - c*s. Suppose -14*f + 8*f + 426 = r. Is f a prime number?
True
Let c(y) = -1. Suppose 0*k = -2*k + z - 5, 5*z + 7 = 2*k. Let j(a) = 26*a + 15. Let m(i) = k*c(i) + j(i). Is m(12) composite?
False
Let s(z) = -z**2 + 15*z + 58. Let k be s(18). Suppose k*y + 5*u - 33 = 0, -y - 5 = 5*u - 32. Suppose -2*p + 7319 = p - 4*j, 2433 = p + y*j. Is p a prime number?
True
Suppose j + 5*t + 133741 = 1286125, t - 2304723 = -2*j. Is j composite?
True
Is (-1 - -1) + 68005 + -472 + 474 a composite number?
True
Let p(u) = u**3 - 4*u**2 + 15*u - 5. Let f be 2 + 9 - (-3 + 2). Is p(f) composite?
False
Suppose -2*p - 4*v + 22 = -0*v, 3*p + 4*v - 37 = 0. Suppose 14*f - p*f - 93 = 2*y, -284 = 3*f + y. Is -3*(3 + f/15) prime?
False
Suppose -83258390 = -160*u + 114*u. Is u composite?
True
Suppose 149708 = -15*x + 14*x. Is (1/(-4))/(13/x) prime?
True
Suppose 4 = 4*i, 2*a - 6 - 7 = 5*i. Is 6*(-21)/14*(-20477)/a composite?
False
Suppose -262 - 6803 = -9*f. Let i = f + -484. Is i prime?
False
Let p = 65 - 66. Let r(f) = 66107*f**2 - 3*f - 2. Let s be r(p). Suppose -v = 11*v - s. Is v a prime number?
False
Suppose -8 = 2*k, 7*m = 5*m + 3*k. Let j(t) = 287*t**2 - 2*t + 25. Let a be j(m). Suppose -a - 11161 = -10*n. Is n a composite number?
False
Let d be 13/(-39) - ((-7744)/3 - -2). Let m = 151 - 147. Suppose m*p = 3*p + d. Is p a composite number?
False
Suppose 49*r = -24*r + 93*r - 2034660. Is r composite?
True
Let n = -2 - -4. Let t be 1/(n/(-23)*(-1)/698). Suppose -12 = 3*y, 2*y = 4*o - t - 393. Is o a prime number?
False
Is 79377/(-4)*(-1068)/267 a composite number?
True
Let i = -68 + 76. Let n(s) = -s + 58. Let a be n(i). Suppose -a - 61 = -l - 5*k, -110 = -l - 4*k. Is l a composite number?
True
Suppose -8*o - 1071219 = -3568091. Is o a composite number?
True
Let c(z) = z**3 + 15*z**2 - 10*z + 98. Let p be c(-16). Let k(l) = 3872*l**2 - 2*l - 3. Is k(p) prime?
False
Suppose 65*u - 246796 = 64*u + 5*i, 740488 = 3*u + 5*i. Is u prime?
False
Let q be (-75)/(1 + 4)*(-2 - -1). Let m(a) = 107*a + 52. Is m(q) composite?
False
Let o be 3 + (-1 + -7 - 177). Let y(s) = -1358*s**2 - 2*s + 1. Let m be y(1). Let h = o - m. Is h prime?
False
Is 6/(-1) - (-26599 + 5)*(-4)/(-8) prime?
True
Let d be (16/(-6))/(1/(-516)). Suppose -5*v - d = -8*v + k, 0 = 3*v + k - 1372. Is v composite?
True
Suppose 2883*p - 2937*p = -1980415 - 3940739. Is p a prime number?
False
Let n(u) = 3*u**3 - 6*u**2 + 5*u - 18. Let o be n(6). Suppose 44359 = -437*q + o*q. Is q a composite number?
False
Let m = -61954 - -88859. Is m a composite number?
True
Suppose -k + 1709 = -3*b - 5551, -21806 = -3*k - 4*b. Let n be 248/(-62) + 4057/(-1). Let z = n + k. Is z prime?
False
Suppose 0 = -87*k + 101*k - 10451294. Is k prime?
False
Is 74/(-925) - (-1025385)/125 composite?
True
Let q be -2 - (78/(-13))/(6/4). Suppose -5*z + 8 = q*h - 14, -2*h - 8 = 0. Is (1 - -3246) + -6*(-4)/z a prime number?
True
Let q(d) = -11 + 0 + 90*d - 12. Let p be ((-20)/(-70))/(1/35). Is q(p) a prime number?
True
Let v = -12 - -17. Suppose 12984 = -v*b + 33069. Let h = b + -2656. Is h composite?
False
Let p be (-3)/(-3)*(-5)/(-3)*-3. Let u be 4/1 - (2 - p). Is u*-892*(-1)/(-6) a composite number?
True
Suppose 3*x + 458 = 2870. Suppose 167*t - x = 163*t. Is t a composite number?
True
Let q(x) = 31*x**2 - 18*x + 46. Let y(t) = 63*t**2 - 38*t + 91. Let v(j) = 13*q(j) - 6*y(j). Is v(23) a prime number?
False
Let t(o) = -o**2 - 15*o - 50. Let m be t(-6). Suppose m*p - 5*k = 6744, 12*p - 5*k = 14*p - 3402. Is p a prime number?
False
Let i(f) be the first derivative of 319*f + 4 + 1/2*f**2. Is i(0) prime?
False
Let x = -33 + 35. Suppose -v + 3*y - 95 = 0, 2*v - 4*y = -x*y - 190. Let f = 150 + v. Is f composite?
True
Let h(j) = 5*j**2 - 11*j - 6. Let n be ((-8)/(-6) - -2)/((-26)/195). Is h(n) prime?
False
Let i = 33 + -15. Let c be (14/(-14))/((-2)/i). Let z(q) = 14*q + 23. Is z(c) composite?
False
Let v be (1 - 1)/((12/(-2))/(-6)). Suppose -6*f + 9*f - 1353 = v. Is f a composite number?
True
Let r = -216 + 167. Let f = r + 500. Is f a prime number?
False
Let o be 1/(2/(-12))*90/27. Is (-12)/o + (-217386)/(-15) a prime number?
False
Suppose -8596407 = -35*j + 26024578. Is j a prime number?
True
Let d(t) = -4*t**3 - 2*t**2 - t + 17. Let v(p) = -2*p**3 - 2*p**2 + 16. Let g(w) = -2*d(w) + 3*v(w). Is g(4) prime?
False
Suppose 2*c = 5*i + 144, -2*i = -7*i + c - 147. Let m be 1/(i/16 + 2). Suppose 0 = 4*j - 5*d + 8, -4*j - 5*d = m - 40. Is j a composite number?
False
Let r be 172/2322 - 79/(-27). Suppose -q + 2*y = -231, 0 = 4*q - r*y - 507 - 427. Is q a prime number?
False
Let a(n) = -2*n**3 + 6*n**2 - 4*n + 3. Let v be a(2). Suppose 3*q - 44000 = -2*s, 3*s = v*q + 10032 - 54012. Is (-1)/(5 + q/(-2932)) prime?
True
Suppose 35311 = 4*u - n + 14511, -2*u + 10386 = -4*n. Is u a prime number?
False
Let x = 164 + -166. Is (-11 - -4 - x) + 207 a prime number?
False
Let c(j) = j**3 + 48*j**2 + 62*j + 45. Let n be c(-47). Let q = 793 + n. Is q a prime number?
False
Suppose 2*s = 2*a - 91573 + 432007, 5*s - 851097 = -a. Is s a prime number?
False
Is (-5 - (-2 - 1 - 1))/(9/(-459387)) composite?
False
Let o(c) = -c**3 + c**2 + c. Let i(t) = 5*t**3 - 15*t**2 + 7*t - 32. Let u(k) = i(k) + 6*o(k). Is u(-15) prime?
True
Let v(w) = -21*w**2 - 11*w - 52. Let l be v(14). Let h = l + 10339. Is h composite?
True
Let u(j) = -j**3 + 34*j**2 + 103*j - 621. Is u(35) composite?
False
Suppose i - 4*u - 90867 = 0, i - 37039 = -u + 53853. Is i a prime number?
True
Let i(j) be the third derivative of 409*j**4/8 - 34*j**3/3 + 36*j**2. Is i(5) composite?
False
Let d = -231700 + 414023. Is d a prime number?
False
Let x = 136098 - 91571. Is x prime?
False
Let p(u) = -10 + 47*u + 14 + 10 - 18*u - 104*u. Let z(x) = x - 9. Let m be z(4). Is p(m) prime?
True
Let h(i) = -18*i - 5*i**3 + 4*i**3 - 3 - 14*i + 22*i**2. Let v = -140 + 154. Is h(v) a prime number?
True
Suppose 10*v - 3*l - 62272 = 5*v, -5*v + l + 62274 = 0. Suppose -139*w = -134*w - v. Is w prime?
False
Suppose 38591 = 3*t + 3*a - 6274, -a = -4. Is t composite?
False
Suppose -487664 - 1183275 = -127*t. Is t composite?
True
Is (35/((-910)/(-1557244)))/(-2 - -4) a prime number?
True
Let f(h) = h**3 + 25*h**2 + 27*h + 16. Let m be f(-24). Let d = -54 - m. Is -1070*(d*3/(-4))/3 prime?
False
Let i = -197347 + 394200. Is i composite?
False
Suppose -4*p + 2*z + 184936 = 0, 3*z = 5*p - 370518 + 139345. Is p a composite number?
True
Let v(f) = 15851*f**3 - 5*f**2 + 23*f - 42. Is v(4) composite?
True
Let m = -2766 + 4095. Suppose -5*w - 17460 = -5*l, 3*w = -l + 2159 + m. Is l prime?
True
Let k be (-10)/(-75) + 793/15. Let c = k - 49. Suppose 2621 = -2*r - g + 9715, 0 = -c*r + g + 14188. Is r composite?
False
Suppose -49*z - 10899 + 114954 = -252910. Let p = 9 - 2. Suppose p*b - 3292 = z. Is b a prime number?
True
Suppose -227*h + 12 = -221*h. Suppose 2*u - u = 5*r - 12292, -2*u = h*r - 4924. Is r composite?
False
Suppose -2*x + 123558 = -58*l + 56*l, 5*x - 4*l = 308897. Is x a composite number?
False
Let z(a) = 2*a**3 + 38*a**2 - 12*a + 19. Let l(h) = 16*h - 3. Let m be l(-1). Is z(m) a prime number?
False
Let l be 10/90 + (-85193)/(-9). Is (8/10 - l/70)*-7 a composite number?
False
Let t = 59868 + -16069. Is t a composite number?
True
Let h(f) = -209439*f - 838. Is h(-3) a prime number?
True
Suppose -2*l + 2*k = -448570 + 96596, -4*k - 1231921 = -7*l. Is l prime?
True
Let f = -59551 - -129312. Is f prime?
True
Suppose -c = 3*b - 25, -b = -3*b - 3*c + 12. Suppose b*a - 2*a - 19201 = 0. Is a a composite number?
True
Suppose -5*l = -2*b + b - 29, -5*b = 3*l + 5. Suppose -l*p + 3*p + 10010 = 2*x, -x + p + 5001 = 0. Is x prime?
True
Let r(f) = -f + 27. Let y be 0 + (-1470)/(-24) + 3/4. Let k = -54 + y. Is r(k) a prime number?
True
Let s(i) = 3082*i - 117. Let g be s(14). Suppose -6*c = g - 122441. Is c composite?
True
Suppose -4*s = -s. Suppose -2*o + 4*k + 1804 = s, -5*k = 4*o - 2*o - 1804. Let b = o - 315. Is b a prime number?
True
Let j(t) =
|
{
"pile_set_name": "DM Mathematics"
}
|
2*m - k for m.
2
Suppose -5*v + 27 = w, -6*v = -8*v + 10. Solve -w*c = 4*u - u, -8 = -2*u for c.
-6
Let j be 35/(-5)*(-4)/14. Let g(m) = 21 - 2*m + 2*m**3 - 7 - 2*m**2 - 13. Let c be g(j). Solve -2*s = 2*n + 7 + 3, -s - c = 5*n for n.
0
Suppose 0 = -44*d - 40 + 103 + 25. Solve 2*x + 40 = -5*t, x - d*t = 4*x + 16 for x.
0
Let f be 2/(-4)*(-3 + 2 + 1). Let k be f/(12/(-18) - 5/(-3)). Suppose 3*z + 12 = k, -3*z = 4*v - 0*z + 4. Solve -2*i + 8 = -v*l, 5*i - l - 19 = -7 for i.
2
Suppose 2*c + 3*u = -3 + 24, 5*c - 5*u = 90. Suppose -7*y = -c*y. Solve -r + y*d - 2 = d, 0 = 4*r - 2*d - 4 for r.
0
Let v(u) = -5*u**2 - 9*u - 12. Let t(a) = -9*a**2 - 18*a - 22. Let q(l) = 4*t(l) - 7*v(l). Let i be q(-8). Solve i*b - b = -2*h - 19, 0 = -4*b - 3*h - 26 for b.
-5
Let k = 58 - 332. Let b = k + 274. Suppose -5*d + 17 = -3. Solve -5*r + 28 = d*t, 0*r + 2*r - 3*t - 2 = b for r.
4
Let p = -34 + 38. Suppose 3*m - 4*m = -w + p, 0 = -5*m. Suppose 2*l - 2*i - 14 = 2*i, -i = -w. Solve j - 2*b - 15 = 2*b, 3*b = -l for j.
-5
Let p(o) = -7*o + 32. Let f be p(5). Let h be ((-4)/6)/((-2)/15). Let g = f + h. Solve -4*w = 5*y + 26, g*w + 10 = y - w for y.
-2
Suppose 0 = -369*k - 826*k + 10755. Let j(p) = 2*p**2 + 4*p + 6. Let h be j(-4). Solve l - 3*y + h = 2*y, -k = 2*l - 3*y for l.
3
Let d = 4842 + -4840. Solve -d*r + 23 = -5*r - 2*j, -3*r = 5*j + 26 for r.
-7
Let x(b) = 35*b - 15. Let q be x(5). Let c = 170 - q. Solve k = -2*y + 1, -4*y + 4*k + c + 10 = 0 for y.
2
Let r be (-25)/(-9) + (-2)/(-9). Suppose -4*v - 2*o = -168, -2*o - 54 = -r*v + 58. Let p = -35 + v. Solve 0 = -5*h - p*s - 45, 3*s + 8 + 3 = h for h.
-4
Let n = 29 - 25. Suppose 4*f + 14*f = -n*f. Solve -9 = 3*r, f = -2*l + 5*r + 8 + 7 for l.
0
Let k = 6801 - 6797. Solve 26 = -k*b + 5*i, 2*i = -b + 4*b + 16 for b.
-4
Let m = -748 + 489. Let s = -257 - m. Solve -3*j - 4 = -p + 8, -3*j = -s*p + 15 for j.
-3
Let q(h) = h**3 - 14*h**2 + 24*h + 23. Let z be 3/15 - 177/(-15). Let r be q(z). Solve 3*b + 4*i = -r, -19 = 3*b + i + i for b.
-5
Suppose -5*k + 32 = -j, 8 = 2*k - j + 3*j. Let m(s) = -2*s**2 + 13*s + 4. Let g be m(k). Let y = g + -8. Solve 5*i + 10 = -5*b, -i + y*i = 5*b + 28 for b.
-5
Let b = 46 + -32. Let i(z) = z**3 - 14*z**2 - 2*z - 6. Let c be i(b). Let l be c/51*6/(-2). Solve 0 = -5*t + p - 20, 4*t - 5*p - l = 3 for t.
-5
Let q(z) = z**3 - 16*z**2 - 18*z + 23. Let c be q(17). Let x be 2 + 32/15 + c/(-45). Solve a - x*w - 13 = 0, -a - a + 5 = -w for a.
1
Let f = -103 - -110. Suppose -12*g = -f*g. Solve -p + 5*w = g, -p + 2*w = p + 8 for p.
-5
Let f(w) = -4*w**2 + 49*w - 9. Let k be f(12). Suppose 2*d = 4*d - 66. Suppose -g = 5*v - 13, 5*g - d = -5*v - 8. Solve -5*a - v*n - 15 = k*n, 4*n = 2*a for a.
-2
Suppose -n = -s + 1, 248*s - 25 = 243*s. Solve 3*h + q + 63 = 64, -n*h - q = -1 for h.
0
Suppose -3*j - 2*y - 94 = -238, 0 = -3*j + 2*y + 156. Suppose j = 4*o - 2*d, -2*d + 21 = 2*o + d. Solve -5*g + 5*k - o - 3 = 0, -2*g = 5*k - 22 for g.
1
Let b = 25 + -25. Suppose b = 5*d - 2*l - 37, -5*d - 10 = 5*l - 75. Suppose -4 = d*t - 11*t. Solve -u + t = -z - 0*u, 4*z + 8 = 2*u for z.
-2
Let d(i) = -30*i + 2015. Let t be d(67). Solve -t*z + 10 = 2*v, -5*v + 44*z - 4 = 42*z for v.
0
Let z be (3 - (-6 - -11)) + 1/1. Let l be 0 - (-8 + z) - (-11 - -12). Solve l*a = 3*a + 4*k + 5, -a - 13 = 2*k for a.
-3
Suppose -27 = -3*i - 0. Suppose 11*f - y = 16*f - 3, 0 = -3*f + 3*y - i. Solve -3*w - 2*a + 14 = f, 2*a = -w - 4*w + 18 for w.
2
Let o be ((-16920)/(-140))/((-6)/28). Let q = o + 569. Solve -4*l + 6 = q*x + 1, -3*x - 5*l = -16 for x.
-3
Let q(o) = o**3 - o**2 - 1. Let l be q(2). Suppose -b = -4*f - 18, l*b + 2*f - 45 = 5*f. Solve 0 = -p - 3*k + b, 3 = -3*p - 4*k + 25 for p.
2
Let n = -21000 - -21010. Solve -w + 3*m - 6 = n, 16 = w + 5*m for w.
-4
Let r be 0 + (-7 - -9)/(7/42). Solve 6 = -3*l + 2*h, 2*l = -4*h - 8 - r for l.
-4
Let f(s) = -13 - 6*s - 5*s - 1 + 4*s. Let o be f(-6). Let a = 32 - o. Solve -4*u + a + 0 = -2*k, -2*k + 1 = u for u.
1
Let g(v) = 3*v**3 - 3*v**2 + 2*v + 4. Let l be g(2). Suppose 0 = 7*w - 3*w - l. Suppose -17 - 1 = -9*p. Solve 5*c + 3*k = -p*k + 50, -5 = 4*c - w*k for c.
5
Let x(t) = t**2 + 41*t + 210. Let a be x(-35). Solve 2*z + f = -2*f, 4*z + 2*f = a for z.
0
Let w(z) = -z**2 - 117*z - 3399. Let m be w(-54). Solve m*t + 3*g = 3, -4*t + 5*g = -0*t - 22 for t.
3
Suppose -7*r + 5*r + 6 = 0. Suppose 6*g - 27 + r = 0. Suppose -v = 3*i - 34, g*i - 4*v = -8 + 32. Solve 2*y = -2*y - 2*l + 18, 0 = 5*y - 4*l + i for y.
2
Suppose 3*y + 4*s - 118 = 13, -209 = -5*y - 2*s. Let a = -574 + 535. Let u = a + y. Solve -b - 7 = 2*n - 2*b, 0 = u*n - 3*b + 17 for n.
-1
Let s = 285 - 531. Let p = -243 - s. Solve -1 = -3*h - 2*h - 4*o, 2*o - 17 = p*h for h.
-3
Let k be (6/(-8))/((-66)/16 + 4). Suppose -27 = -11*w + k. Solve -3*c - 27 = -3*t, w*c + 35 = 3*t + 2*t for c.
-5
Let u(y) = y**2 + 111*y + 1022. Let m be u(-10). Solve 3*x = -l - 13, 4*l + m*x + 19 = 11*x for l.
-4
Let f(h) = 6*h - 5. Let r be f(3). Suppose 12*w - r*w + 7 = 0. Suppose -t + w*t = 30. Solve -1 - 2 = -5*u + x, t*x + 15 = 0 for u.
0
Let r(c) = c**3 - 18*c**2 + 46*c - 10. Suppose 31*x - 320 = 145. Let n be r(x). Solve -2*v - 21 = -n*m, v = 1 + 1 for m.
5
Let i(q) = -23*q**2 + 643*q + 47. Let u be i(28). Solve 0 = -2*h - 3*d + 12, -23*h + u = -20*h + 5*d for h.
3
Let l(b) = b**2 - 18*b + 74. Let w be l(6). Suppose -3*y = -5 - 7, 4*y = h - w. Solve -5*o - 5*z = 15, h = -5*o + z - 3*z for o.
-4
Suppose 5*b + 3*b = -3968. Let h = b - -499. Solve -8*a + 3*a + 3*k + h = 0, 4*k + 4 = -3*a for a.
0
Let k be (-27)/99 - (-4014)/198. Solve k = -4*r, -3*u - 3*r - 35 = u for u.
-5
Suppose -45 = 29*v - 161. Suppose g - 19 = -v*k, -k = 2*k - 4*g. Solve -k*y = -s - 3 - 2, -4 = 4*s for y.
1
Let g = 396 + -288. Suppose 110*n = g*n + 12. Solve c = -5*u - 2*c + 9, 2*c = -3*u + n for u.
0
Let s(a) = -31*a - 657. Let f be s(-20). Let d be 37*-1 - -2*1. Let m = d - f. Solve 4*h = m*r + 16, 2*r - 20 = h - 6*h for h.
4
Let p = -60 - -83. Let f = -21 + p. Suppose 4*s - f*n - 4 = 3*s, -2*s + 29 = 3*n. Solve 3*b - v = -0*b - s, v - 12 = 4*b for b.
-2
Let p = -2430 + 2432. Solve 0 = -2*i + l + p, 8*i + 2*l - 14 = 3*i for i.
2
Let s(g) = g**3 - 14*g**2 + 46*g - 2. Let d be s(5). Solve 3*l + 28 = 4*f + 5, d*f - 6 = 0 for l.
-5
Suppose -288 = 7*d - 470. Suppose 9*l - 10 = d. Solve -3*y + 16 = -5*y + 3*q, -3*y + 10 = l*q for y.
-2
Let s = 6919 - 6919. Solve g - 12 = t - 5*t, s = 3*g + 12 for t.
4
Let q(n) = n**3 - 14*n**2 + 15*n + 11. Let t be q(13). Let o = 37 - t. Solve o = -3*w + 5*c + 1 - 5, -c = -2*w - 5 for w.
-3
Let x(m) = m**3 + 6*m**2 + 7*m - 3. Let p be x(-3). Suppose -2*z + 22 = p*z - w, 12 = 4*w. Solve 4*h - 2*d = -18, h - 9 = z*h + d for h.
-3
Suppose 2*h + 1102 = 38*h + 2*h. Solve 0 = -3*r + 9, 3*l - h*r + 21 = -26*r for l.
-4
Let w = 180 + -175. Suppose 2*c + i - 12 = -5, w*i = c - 9. Solve 2*k = -2, -2*k = 2*r - r + c for r.
-2
Let n(w) = -w**2 - 15*w - 56. Let k be n(-8). Suppose k = 3*l + 4 + 11, 3*l + 7 = -2*s. Solve 0 = -4*h - s*m - 8 - 8, -2*m = -4*h - 4 for h.
-2
Let n = 16 - 10. Let a = 311 - 78. Let d = a + -228. Solve -5*z = d*x + 10, x - 6*x = 3*z + n for z.
-2
Let j = -943 - -945. Suppose -w + 3*m = 1, 2*w + 7*m - 3*m - 18 = 0. Suppose n = -3*n + 4. Solve 2*r + j*y - 5 = -n, 28 = w*r - 4*y for r.
4
Suppose 4*x = 4*o - 16, 132*x - 127*x = -o + 10. Solve y + 10 + 2 = 4*w, 3*w - o*y - 26 = 0 for w.
2
Suppose 0 = 5*s + 4*a + 20, 390 = 5*s + a + 395. Solve -z - 5*u + 14 = s, 2*z - 4*z - 11 = -3*u for z.
-1
Suppose 0 = -292*i - 654 + 556 + 1558. Solve 5*z + t = -24, -4*z + i*t - 2 - 23 = 0 for z.
-5
Let b be (161 + -1)/4 + 5 + -5. Solve 3*o - 4*g = 7*o + b, o = g for o.
-5
Suppose -13*d - 240 = -21*d. Let t be (-24)/d*-10 + (-6)/1. Solve 2*w + t = y - 1, 5*y - 4*w = 3 for y.
-1
Let g = -106 - -29. Let d = g - -54. Let n = d + 31. Solve -5*f - n = -f, 4*b - 3*f = 14 for b.
2
Suppose 655*w = 4877 - 1602. Solve -15 = -w*o + 37*c - 38*c, 5*o + 2*c = 15 for o.
3
Let f be 1/(1 - (-28)/(-35)). Suppose -f - 7 = -4*c. Solve -c*w = -0*w - 2*a, 4*w = -a - 11 for w.
-2
Let r(x) = 7*x - 8. Let l be r(6). Suppose 315 = 6*k + 29*k. Suppose 2*f + 5*u - l = -f, 3*u - k = 2*f. Solve 15 = -f*p - 3*j, -p - 5 = 3*p + j for p.
0
Let a(i) = -277*i**3 + 2*i**2 - i - 2. Let
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{
"pile_set_name": "DM Mathematics"
}
|
tive of 36*m + 2 - 40*m + a wrt m?
-4
Let v(y) be the first derivative of -y**6/30 - y**2/2 + 3*y + 3. Let q(c) be the first derivative of v(c). What is the derivative of q(u) wrt u?
-4*u**3
Suppose -3*a - 305 = -5*x - 8*a, 3*x = -a + 187. Find the second derivative of x*m**2 + 3*m - 6*m - 8*m - 56*m**2 wrt m.
14
What is the third derivative of -4 - 61*q**2 + 10*q**3 + 4 + 59*q**2 wrt q?
60
What is the third derivative of 13*f**2 + 60*f**3 - 5*f**2 - 83*f**3 wrt f?
-138
Let w(s) be the second derivative of 2*s**7/21 + s**3 - 3*s. What is the second derivative of w(n) wrt n?
80*n**3
Let i(k) be the first derivative of k**8/1680 + k**5/24 - 4*k**3/3 - 6. Let a(b) be the third derivative of i(b). Find the second derivative of a(f) wrt f.
12*f**2
Let o(d) = 3*d**3 - 4*d - 8. Let u(j) = -4*j**3 + 5*j + 9. Let c(i) = 5*o(i) + 4*u(i). What is the first derivative of c(n) wrt n?
-3*n**2
Let q(t) = -t**2 - 3*t. Let y be q(-3). Find the second derivative of y*j**2 + 4*j + j**2 - j - 5*j wrt j.
2
Let v(j) be the third derivative of -2/3*j**3 - 1/10*j**5 + 5*j**2 + 0*j**4 + 0*j + 0. Find the first derivative of v(g) wrt g.
-12*g
Let f be 21*(2/(-3) + 0). Let p be (-24)/f - (-2)/7. What is the third derivative of -p*c**2 - 2 + 2 + 2*c**4 wrt c?
48*c
Let m(y) = 63*y**3 - 7*y**2 - 74. Let j(t) = -32*t**3 + 4*t**2 + 37. Let w(r) = 7*j(r) + 4*m(r). What is the derivative of w(z) wrt z?
84*z**2
Let x(l) = l**2 - 4*l + 6. Let d be x(4). What is the third derivative of -4*i**d + 13*i**3 - 13*i**3 - i**2 wrt i?
-480*i**3
Let r(b) = 5*b**3 - 2*b**2 - 2*b - 2. Let z(f) = f**3 - f**2 + f - 1. Let h = -4 - -6. Let p(s) = h*z(s) - r(s). Find the second derivative of p(w) wrt w.
-18*w
Let h(w) be the first derivative of 28*w**5/5 - 11*w**2/2 + 26. What is the second derivative of h(u) wrt u?
336*u**2
Let a = 12 + -10. Differentiate k - 3*k + k + a*k + 1 wrt k.
1
Find the second derivative of -15*w + 110*w**4 - 81*w**4 + 4*w - 13*w wrt w.
348*w**2
Let r(x) = -29*x**2 + 9*x + 1. Let m(g) = 28*g**2 - 8*g - 2. Let s(q) = -2*m(q) - 3*r(q). What is the second derivative of s(h) wrt h?
62
Let y be 1 + -2 + -1 + 2. Suppose d + 2*u - 8 = y, -u + 0*u = 4*d - 11. Find the third derivative of q**5 - q**d - q**2 + 0*q**2 wrt q.
60*q**2
Suppose 4*x + 5*l = -29, -6*x - 2*l = -2*x + 14. Let j be -1*(-2 + x - -1). Find the second derivative of -3*n**4 + 3*n**4 - 3*n - j*n**5 wrt n.
-40*n**3
Let k(j) be the first derivative of 0*j**5 - 7/2*j**2 - 7/6*j**6 + 0*j + 0*j**3 + 0*j**4 + 3. What is the second derivative of k(f) wrt f?
-140*f**3
Suppose -1 = -5*i + 4. Let p(a) = 3*a**3 - a**2 + 2*a - 1. Let o be p(i). Find the first derivative of h**3 - h**o - h**4 - 1 wrt h.
-4*h**3
Let p(l) be the second derivative of 9*l**5/20 - 2*l**3/3 - 5*l. Find the second derivative of p(s) wrt s.
54*s
Let q(s) be the second derivative of -23*s**4/12 + 10*s**2 - 27*s. What is the derivative of q(j) wrt j?
-46*j
Let f(k) be the third derivative of 17*k**8/336 + k**5/3 - 22*k**2. Find the third derivative of f(a) wrt a.
1020*a**2
Let h = 9 + -6. Suppose -h*a - 12 = -7*a. What is the derivative of a + 3 + u**2 - 4 wrt u?
2*u
What is the second derivative of -10*a - 8*a**5 + 7*a + 0*a wrt a?
-160*a**3
Let m(f) be the third derivative of f**8/112 + 13*f**4/24 + 20*f**2. What is the second derivative of m(h) wrt h?
60*h**3
Suppose 4 = 2*t - 2. Differentiate 4*j**3 - 3*j**3 - 3*j**3 + 1 + 5*j**t wrt j.
9*j**2
Let t(m) = -2*m - 5. Let g be t(-4). Find the second derivative of -4*i - g*i**2 + i + i + 0*i wrt i.
-6
Let g be (12/18)/((-2)/(-21)). Suppose g = q + 4. Find the third derivative of -f**q + 7*f**3 - 3*f**3 - f**3 + 3*f**2 wrt f.
12
Let m(v) be the first derivative of 0*v + 0*v**2 + 2/3*v**3 - 1/2*v**4 + 2. What is the third derivative of m(h) wrt h?
-12
Suppose 11 + 1 = 4*t. Find the third derivative of -w**3 + w**2 - 2*w**t + 5*w**2 wrt w.
-18
Let u(f) be the second derivative of -2*f**4/3 + 5*f**2 + 2*f + 23. What is the derivative of u(k) wrt k?
-16*k
Suppose 11 - 26 = -3*c. Let v be 1/(-2 + 11/c). Find the third derivative of -3*x**3 + v*x**3 + 2*x**2 - x**2 wrt x.
12
What is the derivative of -47 - 29*q**2 - 35*q**2 + 38*q**2 wrt q?
-52*q
Let h(p) = -p**2 + 7*p - 6. Let s be h(5). Suppose -2*c + s*c - 2 = 0. Differentiate -4 + 3 + c + 4*u - 1 wrt u.
4
Let o be (-66)/(-30) + 2/(-10). Let d(t) be the second derivative of -1/6*t**3 + 1/2*t**o - t + 0. Find the first derivative of d(w) wrt w.
-1
What is the third derivative of -85*l + 5*l**2 + l**3 + 89*l - l**3 + l**3 + 6*l**4 wrt l?
144*l + 6
Let n(b) be the third derivative of 0*b**7 + 0*b**6 + 0 - 7*b**2 + 0*b**3 - 1/84*b**8 - 7/24*b**4 + 0*b**5 + 0*b. Find the second derivative of n(i) wrt i.
-80*i**3
Let t(d) be the third derivative of 3*d**2 + 0*d + 0*d**5 + 1/30*d**6 + 0 + 2/3*d**3 + 0*d**4. What is the first derivative of t(i) wrt i?
12*i**2
Let k be 1 + 0 + -1 + 2. Differentiate 0 + 3 + k*v - 4*v wrt v.
-2
Find the first derivative of -104 + 219 - 102 - 17*y**2 wrt y.
-34*y
Let p(w) be the third derivative of -17*w**8/336 - 7*w**4/8 + 35*w**2. Find the second derivative of p(f) wrt f.
-340*f**3
Let b(o) = -3*o**2 - 8*o - 6. Let r(l) = -2 + 3*l**2 - 6 - 15*l - 8*l**2 - 3. Let u(f) = 11*b(f) - 6*r(f). Find the second derivative of u(k) wrt k.
-6
Let k be ((-2)/6)/(2/(-24)). Find the second derivative of 8*j**2 - 8*j**2 - 3*j - j**k wrt j.
-12*j**2
Suppose 5*v - 4*a + 2 = 0, -3*a + 17 = -v + 5*v. Let l be (-1 - (-2 + -3)) + 28/(-7). What is the first derivative of 2 - 3*s**4 + l - 1 + v wrt s?
-12*s**3
Let b(t) = -t**3 - t**2 - t. Let h(n) = 22*n**3 - 6*n**2 - 3*n - 11. Let q(k) = 6*b(k) - h(k). Find the second derivative of q(g) wrt g.
-168*g
Let n(b) = 8*b**2 - 5*b + 3. Let y(c) = 39*c**2 - 24*c + 15. Let t(f) = -24*n(f) + 5*y(f). What is the first derivative of t(q) wrt q?
6*q
Let n(r) be the third derivative of r**7/280 + r**6/360 + r**3/3 - r**2. Let q(l) be the first derivative of n(l). What is the third derivative of q(k) wrt k?
18
Let b(v) be the third derivative of 0 + 0*v**4 + 1/12*v**5 + 0*v + 2/3*v**3 - v**2. What is the first derivative of b(j) wrt j?
10*j
Find the second derivative of -31 + 17*l**4 + 31 + 6*l wrt l.
204*l**2
Suppose 5 = 2*h - 3. Find the third derivative of h*l - 2*l**2 - 5*l + 5*l**3 + l wrt l.
30
Suppose 0 = 3*j + 4 - 10. Find the first derivative of -2*a**j + 5 - 1 + 5*a**2 - 1 wrt a.
6*a
Let u be 15 + 2/(-2) + -2. Let v = u - 7. What is the second derivative of v*o**4 - 3*o - 4*o**4 + 2*o wrt o?
12*o**2
Let z(g) = 2*g**4 - 6*g + 2. Let w(o) = 5*o**4 - 17*o + 6. Let x(d) = 6*w(d) - 17*z(d). What is the derivative of x(i) wrt i?
-16*i**3
Let d(q) = -q**2 - 3*q. Suppose 3*v - 4*h = -21, h + 3 = -v - v. Let j be d(v). Differentiate -2*y**3 + j + 0 + 2 with respect to y.
-6*y**2
Find the first derivative of 2*r - 167 - 3*r + 160 wrt r.
-1
Let d(w) = w**4 - w**3 + w**2. Let c(n) = n**4 - 3*n**3 + 6*n**2. Suppose 3*q = -q - 12. Let j(a) = q*d(a) + c(a). Find the third derivative of j(m) wrt m.
-48*m
Let k(w) = w**2 + 7*w + 6. Let x be k(-7). Let i be (-4)/x + (-8)/(-3). Find the second derivative of -2*n**i - 1 - n + 1 wrt n.
-4
Let l(u) be the first derivative of -u**2 - 1/10*u**5 + u - 1 + 0*u**3 + 0*u**4. Let y(o) be the first derivative of l(o). Differentiate y(k) with respect to k.
-6*k**2
What is the derivative of -2 - s**2 - 5*s**2 + 9 + 2*s**2 wrt s?
-8*s
Let z = -4 - -2. Let c = 3 + z. Find the second derivative of 1 - 3*j - 3*j**2 + 0*j**2 - c wrt j.
-6
Find the second derivative of 35*m**5 + 251*m**3 - 251*m**3 - 37*m wrt m.
700*m**3
Let i(f) = 1 - 4*f + f**2 + 5*f - 2*f. Let s(x) = -39 + 30 + 6*x - x**2 - x**2. Let c(o) = -6*i(o) - s(o). What is the derivative of c(g) wrt g?
-8*g
Suppose 3*o - l - 16 = 0, 2*o - 13 = l + 2*l. What is the second derivative of -7*j**o - 43*j**2 + 3*j + 43*j**2 wrt j?
-140*j**3
Let s(v) = 6*v - 3. Let p(y) = 7*y - 4. Let r = 4 + -1. Let h(w) = r*s(w) - 2*p(w). What is the first derivative of h(a) wrt a?
4
Let a(g) be the first derivative of 2/5*g**5 + 0*g**4 + g**3 + 0*g + 0*g**2 + 2. What is the third derivative of a(w) wrt w?
48*w
Find the third derivative of 47*k**3 + 14*k**2 + 4760 - 4760 wrt k.
282
Let q(c) = -4*c**2 + 3*c. Let o(x) = -5*x**2 + 4*x + 1. Suppose -b - 5
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{
"pile_set_name": "DM Mathematics"
}
|
**4 - 3*t**2 - 3*t + 148. Let s(g) = -3*c(g) - 10*j(g). Find the first derivative of s(h) wrt h.
20036*h**3
Let d = -450 - -1065. Differentiate -131*j**3 + d - 832 - 23*j**3 wrt j.
-462*j**2
What is the third derivative of 1068*g**6 + 2990*g**2 + 5275*g**6 - 148*g**6 wrt g?
743400*g**3
Suppose -3*a = 5*b - 1445, 0 = -3*a - 0*a + 5*b + 1495. Suppose -3*i + a = 2*i. What is the first derivative of 2 - i*j + 98*j - 8*j**3 wrt j?
-24*j**2
Suppose -2*v - 10 = 0, 3*j - 5*j - 5*v - 593 = 0. Let f be 0 - j/10 - 6/15. Find the second derivative of 11*l - f*l + 6*l + 12*l**4 + 3*l wrt l.
144*l**2
Suppose 4*f - 7 = 3*h, -h + 2*h + 17 = 5*f. What is the third derivative of -21*l**3 - 11*l - 36*l**3 - 2*l**2 - 3*l + 8*l**h wrt l?
-294
Let i = -228 + 230. What is the third derivative of -24*r**5 - r**4 + 71*r**5 + r**4 - 58*r - 2*r**i wrt r?
2820*r**2
Find the second derivative of -146*z**4 + 11*z**3 - 14054*z + 34*z**4 + 12*z**2 + 61*z**4 + 28*z**4 + 26*z**4 wrt z.
36*z**2 + 66*z + 24
Let f(l) be the third derivative of 167*l**6/5 - 3413*l**5/60 - 779*l**2. Find the third derivative of f(w) wrt w.
24048
Let f(p) = -30*p - 32*p + 5 + 193*p**2 + 66*p. Let z(s) = -97*s**2 - 3*s - 2. Let u(r) = 3*f(r) + 7*z(r). Find the second derivative of u(k) wrt k.
-200
Suppose 0 = 5*o + 5*o - 20. Suppose 2*v - v - o*j = 903, -2*j - 3630 = -4*v. What is the derivative of 909*w + 28*w**3 - v*w - 25 wrt w?
84*w**2
Let y(w) be the third derivative of 0*w + 73*w**2 + 19/3*w**3 + 5/8*w**4 + 0. What is the first derivative of y(l) wrt l?
15
Let z(x) be the second derivative of 0*x**2 + 0*x**5 + 1/42*x**7 - 9/4*x**4 + 75*x + 0*x**6 - 5/14*x**8 + 0 + 0*x**3. Find the third derivative of z(d) wrt d.
-2400*d**3 + 60*d**2
Find the third derivative of 216 - 6*f**2 - 3*f**5 + 113*f**6 - 4*f**2 - f**2 + 16*f**2 wrt f.
13560*f**3 - 180*f**2
Let u(i) be the third derivative of i**8/168 - 7*i**7/10 + 71*i**4/6 - 66*i**2 + 1. What is the second derivative of u(f) wrt f?
40*f**3 - 1764*f**2
Let o(z) be the first derivative of 1/5*z**5 + 0*z + 0*z**2 - 5/4*z**4 + 11/3*z**3 - 36. Find the third derivative of o(a) wrt a.
24*a - 30
What is the derivative of 2*t**2 - 2035 - 2*t**2 - 1244*t**3 - 14 - 99 wrt t?
-3732*t**2
Let h(y) be the first derivative of -429*y**6/2 + 28*y**2 + 6*y - 1636. Find the second derivative of h(n) wrt n.
-25740*n**3
Let q be (-2)/(-14) - 834/(-42). Suppose -2*j + 3*o + 23 = 0, -9 - 6 = 3*o. What is the second derivative of -21*z + q*z**j + 49*z**4 - 31*z**4 wrt z?
456*z**2
Let s(w) = -8*w**3 + 8*w**2 + 18*w - 1659. Let c(n) = 39*n**3 - 38*n**2 - 87*n + 8295. Let b(g) = -6*c(g) - 29*s(g). What is the first derivative of b(y) wrt y?
-6*y**2 - 8*y
Suppose -12 = 197*p - 200*p. What is the derivative of -2*j**p - 4737*j**2 + 3*j**4 + 4740*j**2 - 33 wrt j?
4*j**3 + 6*j
Let q(b) = -48*b**2 + 1228*b - 13. Let j(h) = -h**2 - h - 4. Let t(g) = 3*j(g) - q(g). What is the second derivative of t(s) wrt s?
90
Let u(b) be the third derivative of -b**7/210 + b**6/60 + 89*b**5/30 - 901*b**3/2 - 154*b**2 + b + 11. What is the first derivative of u(o) wrt o?
-4*o**3 + 6*o**2 + 356*o
Let m(w) be the second derivative of 206*w**6/3 - 1891*w**4/6 + 200*w. Find the third derivative of m(v) wrt v.
49440*v
Let b be (0/17)/(2*1). Suppose -d + 4 = -b. Find the second derivative of 45*l**2 - 45*l**2 + 23*l + 11*l**d wrt l.
132*l**2
Let j(n) be the second derivative of -3341*n**4/12 + 3*n**3 + n**2/2 - 2143*n. What is the second derivative of j(w) wrt w?
-6682
Suppose 6*s + 2 = 26. Suppose -t + 1 + 4 = s*r, -t + r = -5. Find the second derivative of -71*k + 52*k - 2*k**5 - 12*k**t wrt k.
-280*k**3
Suppose -3*g = -4*i - i - 54, -i - 3*g - 18 = 0. Let f be 0 + (-4)/i*9. What is the second derivative of -25*d - 4498*d**3 + 4498*d**f - 15*d**5 wrt d?
-300*d**3
Let w = -9484 + 9504. Let v = 1 - -1. What is the third derivative of 1 - 5*g**5 - 1 + 19*g**5 + w*g**v wrt g?
840*g**2
Suppose -10*q = -6*q + 20, 3*q = p - 24. What is the first derivative of 16*x**3 - 23*x**3 + p*x**3 + 62 wrt x?
6*x**2
Let h(k) = -2*k**3 + k**2 + 3*k + 1. Let j(l) = 3598*l**3 + 8*l**2 + 16*l + 20. Let t(d) = -8*h(d) + j(d). What is the second derivative of t(v) wrt v?
21684*v
Let k(p) = -1573*p**4 - 4*p**3 - 53*p + 1. Let i(m) = 3148*m**4 + 9*m**3 + 106*m - 2. Let z(u) = 4*i(u) + 9*k(u). What is the second derivative of z(h) wrt h?
-18780*h**2
Let a(v) = 4*v - 74. Let u be a(19). Find the second derivative of -89*w - 44*w**u + 48*w**2 - 19 - 3*w**3 + 19 wrt w.
-18*w + 8
Let w = -2415 + 2415. Let a(b) be the second derivative of -4*b + w + 0*b**4 - 19/2*b**2 - 17/20*b**5 + 0*b**3. Differentiate a(l) wrt l.
-51*l**2
Let r(u) be the third derivative of 0*u + 0*u**6 + 0*u**5 + 2 - 17*u**2 - 11/2*u**3 + 11/35*u**7 + 0*u**4. What is the first derivative of r(p) wrt p?
264*p**3
Let y(s) be the third derivative of 0*s**3 + 1/30*s**5 + 0 - 3*s**2 - 55/24*s**4 - 1/5*s**6 - 10*s. Find the second derivative of y(o) wrt o.
-144*o + 4
Let c be (-6 - 1)*(2574/(-126) - -20). Let t = -47 + 76. Find the second derivative of -t*q - 18*q**5 + 27*q + c*q**5 wrt q.
-300*q**3
Find the second derivative of m**5 + 309202*m + 0*m**5 + 211*m**4 - 309203*m wrt m.
20*m**3 + 2532*m**2
Find the third derivative of 15172 - 59*q - 1873*q**4 + 16369*q**4 - 15174 - 16*q**2 wrt q.
347904*q
Suppose -r = 4*y - 135, 2*y + 11*r = 13*r + 80. What is the third derivative of 40*u**2 + y*u**2 + 205*u**6 + 70*u**6 wrt u?
33000*u**3
Let c be (-20)/(-6) + -5 + 85/15. Suppose c*g - 13*g = -45. What is the third derivative of -4594*f**2 + 20*f**g + 4621*f**2 + 17*f**5 wrt f?
2220*f**2
Let d(y) be the first derivative of -93*y**2/2 - 206*y - 249. Let h(l) = -86*l - 205. Let w(m) = -5*d(m) + 6*h(m). Differentiate w(a) with respect to a.
-51
Let q(z) be the third derivative of 3*z**8/112 - 2*z**5/15 - z**4/12 - 175*z**3/6 + z**2 - 137. What is the second derivative of q(s) wrt s?
180*s**3 - 16
Let d(v) be the first derivative of v**6/3 - 39*v**4/4 + 5*v**2/2 + 64*v + 411. What is the second derivative of d(m) wrt m?
40*m**3 - 234*m
Let i = 9110 - 9108. Let d(t) be the first derivative of 0*t - 7/3*t**3 + 0*t**5 + 0*t**4 - 31 + 0*t**i - t**6. What is the third derivative of d(u) wrt u?
-360*u**2
Suppose -2*z = 3*w - 0*z - 116, -188 = -5*w - 2*z. Differentiate 130*t + t - 25 + w with respect to t.
131
Let t(d) be the first derivative of 0*d**2 + 7/3*d**3 + 1/2*d**4 - d**5 + 201 - 10*d. Find the third derivative of t(n) wrt n.
-120*n + 12
Let g(m) be the first derivative of -55/2*m**2 - 47/2*m**4 - 74 + 0*m + 0*m**3. What is the second derivative of g(n) wrt n?
-564*n
Suppose 2*g = 3351 - 3347. Let b(n) be the second derivative of 17/6*n**3 - 19*n + 0*n**g + 3/2*n**4 + 0. What is the second derivative of b(p) wrt p?
36
Suppose 3*j + 3*h + 488 + 757 = 0, 2035 = -5*j + 5*h. Let z be ((-8)/10)/(3 + j/135). What is the derivative of -56*r**4 - 32 - 3*r**4 + z*r**4 wrt r?
-164*r**3
Suppose -v - 60 = 3*v + 3*w, -3*w = -3*v - 24. Let q = 15 + v. Differentiate 8 - q*c**3 - 17 - 8*c**3 with respect to c.
-33*c**2
Let u = 63 - 61. Find the second derivative of -134*m + 140*m**u + 0 + 2 - 118*m**2 wrt m.
44
Let b be 5/5 - (-6 + 3). Suppose 12 = 7*t - b*t. What is the second derivative of -18*c**3 - 2*c - t*c - 4*c wrt c?
-108*c
Suppose 2*r + 3*r - 2447 = 4*a, 4*a = -4*r + 1972. Differentiate 92*m**3 - 491*m + r*m - 48 wrt m.
276*m**2
Let a = -33 - -37. Suppose 2*k - 5*x = a, -k - 3*x - x = -2. Find the second derivative of -10*f - 9*f**2 - 24*f**k + 13*f wrt f.
-66
What is the second derivative of 7648818*p**2 - 114*p - 4279*p**3 - 7648818*p**2 wrt p?
-25674*p
Suppose -869 + 314 = -37*m. Differentiate -139 - m*k**2 + 30 + 111*k**2 + 30*k**2 wrt k.
252*k
Let j(o) = -1505*o**4 - 12*o**3 + 1672*o**2 + 6*o + 3. Let g(q) = 4*q**3 - 2*q - 1. Let p(u) = -3*g(u) - j(u). What is the third derivative of p(v) wrt v?
36120*v
Let h = -32621 - -32623. Let l(c) be the third derivative of 0 + 8/3*c**3 - 43/24*c**4 + 0*c - 15*c**h. What is the derivative of l(w) wrt w?
-43
Find the third derivative of -2515*n**3 + 409*n**3 - 1521*n**3 - 285*n**2 - 287*n**3 wrt n.
-23484
Let a(v) be the second derivative of -298*v**5/5 - 346*v**3/3 - 20*v + 11. What is the second derivative of a(p) wrt p?
-7152*p
Let l(
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
-1/1186
What is the nearest to -2/7 in -4, 2/5, -0.2, 2, 38?
-0.2
Which is the nearest to 1/12? (a) -273 (b) 1/2 (c) 3
b
Which is the nearest to 2/7? (a) -19 (b) -2 (c) -0.34 (d) 0.5 (e) -16
d
What is the nearest to 4 in 9, 4, 5, -3?
4
Which is the nearest to 1/3? (a) 5/6 (b) 3080 (c) 9 (d) -2/5 (e) 1
a
What is the closest to 4 in -2, -134, -390?
-2
Which is the closest to 93? (a) 2 (b) 15 (c) 6 (d) 8
b
What is the nearest to -0.1 in 2, 0.3, 0.1, -20, -0.05?
-0.05
Which is the closest to -0.03? (a) -0.4 (b) -11/4 (c) 1/2 (d) 26
a
What is the closest to -1 in -3.3, 7/2, 4?
-3.3
Which is the closest to 1/7? (a) 2/305 (b) 0.4 (c) 2/25
c
What is the closest to 38 in 0.4, -4, 2/3, 3, -0.4?
3
What is the nearest to -6 in -3, -3/2, 2, 71, -1?
-3
What is the nearest to 2 in 1/3, 4/7, -0.1, -269/4?
4/7
What is the closest to -8 in 5, 14/23, -0.6?
-0.6
What is the closest to 2 in -0.1, 4, 3279, -5?
4
Which is the closest to 34? (a) -29/5 (b) -0.2 (c) -1/3
b
What is the closest to -2/7 in -44, -0.11, 0.3, 3/2, -6/11?
-0.11
Which is the nearest to -20? (a) -1/4 (b) -6 (c) 8 (d) 0
b
Which is the nearest to 7? (a) 22 (b) -2/259 (c) -0.1 (d) 4
d
What is the closest to 2/7 in 4, 3, -22, 0, -1?
0
What is the nearest to 2/263 in 1/2, 5, -3/4, -0.094?
-0.094
What is the nearest to -2/5 in -2, 0.28, 94.3, 0.3?
0.28
What is the nearest to 286 in 18/23, 1/5, 0.3?
18/23
Which is the nearest to -2/7? (a) -0.5 (b) 1/2 (c) 4 (d) 11941/3
a
What is the closest to -2/7 in 4, -18.93, -3, -1/4, 1/9?
-1/4
Which is the nearest to -2/7? (a) 120 (b) 5 (c) -3/7 (d) 2/461
c
What is the closest to 1 in 0.1, 81, 2/7, -5/7?
2/7
Which is the closest to 0? (a) -1/2 (b) -21 (c) -49
a
What is the nearest to 4 in -1148, 1/7, 5?
5
Which is the closest to 0? (a) -2/17 (b) 5175 (c) 0.4
a
Which is the closest to -0.1? (a) -2 (b) 51 (c) 17
a
Which is the nearest to 2/7? (a) -1 (b) 1 (c) -1589
b
Which is the closest to 1? (a) -0.5 (b) 2 (c) 1.21
c
Which is the nearest to -8? (a) 15 (b) -2 (c) 40
b
Which is the nearest to 4/9? (a) -1 (b) -10 (c) -7
a
What is the closest to 27.1 in 0.6, 0, -1/432?
0.6
What is the nearest to -19 in 3, -1/35, 1, -7, 1/5?
-7
Which is the closest to -7? (a) 0 (b) 2 (c) 175 (d) -1/3 (e) -6
e
What is the closest to -229 in -2/11, 0, -3?
-3
What is the nearest to -1.3 in -0.4, 126, -2, 0?
-2
What is the closest to 2 in -16, 0.4, 0.25, 4?
0.4
What is the nearest to -10 in 2/5, -5, -81, 1, 1/6?
-5
Which is the nearest to -2/5? (a) -5/4 (b) 0.1 (c) 1586/7
b
Which is the nearest to 1/3? (a) 1/27 (b) 14 (c) -0.4 (d) -3
a
What is the nearest to -0.1 in 0.0302, 2/15, -75?
0.0302
What is the nearest to 15/7 in 0.2, 0.11, 3?
3
Which is the nearest to 1? (a) 5 (b) -1 (c) -0.2 (d) -362.9
c
What is the nearest to -0.3 in 97/2, 0.1, -4/19?
-4/19
What is the nearest to 3 in 2/3, 2440, 0.2?
2/3
What is the nearest to -1 in 4/3, 953, -2?
-2
What is the closest to 19 in -0.2, 0, -1/21, 1/3?
1/3
What is the nearest to 4 in 2/49, -0.2, -3, 3?
3
Which is the nearest to 3/4? (a) 59 (b) 55 (c) 3
c
What is the nearest to 2/7 in 2/11, -2/3, -4349?
2/11
Which is the nearest to 1? (a) -1 (b) -7 (c) 1/4 (d) -4
c
Which is the closest to 1/2? (a) 4 (b) -13 (c) -98
a
What is the closest to 28879 in 1/4, 4, 0.04, -4?
4
Which is the closest to 424? (a) 0.5 (b) -2/9 (c) -3
a
What is the closest to 0.4 in 6, -0.2, -1/32?
-1/32
What is the closest to -0.2 in 0.1, 1311, 2?
0.1
What is the closest to 1 in -2/5, 4, -0.5, -10/17, -7?
-2/5
Which is the closest to -2? (a) -3/4 (b) 1/11 (c) 19 (d) 0.1 (e) -3
e
What is the nearest to 1/2 in 12, -24, 82?
12
What is the nearest to 27 in -4, -0.5, 0.4, 2/9?
0.4
Which is the nearest to -5/12? (a) 5/4 (b) -3/4 (c) -1 (d) 6
b
Which is the nearest to -49? (a) 4 (b) 0.098 (c) -5 (d) -2
c
What is the closest to -0.09 in 2/3, -6/7, -1/6, 2?
-1/6
What is the nearest to -2/7 in 24, -4, -7, 33, -1/3?
-1/3
What is the closest to -2 in -57, 0.6, 3.5, 3?
0.6
Which is the nearest to 27? (a) 0.5 (b) -3 (c) 6 (d) -14 (e) 4
c
Which is the closest to -98? (a) 49 (b) -1.1 (c) -2 (d) -0.1
c
Which is the nearest to -3.9? (a) -3 (b) 2/7 (c) 5 (d) -4 (e) 2/3
d
What is the nearest to 0 in -0.3, 2/3, -0.9, 262/25?
-0.3
Which is the nearest to 1? (a) -734 (b) -0.2 (c) 101 (d) -4 (e) -1
b
What is the closest to 2/5 in 4/9, -0.9, -99, 4, 10?
4/9
What is the closest to -0.07 in 6, 1/2, -0.2, -0.4?
-0.2
What is the nearest to 9/10 in -2/4453, 0.3, 1/6, -5?
0.3
What is the nearest to -0.2 in -0.5, 1/846, -0.4?
-0.4
Which is the closest to 1/3? (a) -8711 (b) -2 (c) -1/5 (d) 2 (e) -1
c
What is the closest to 122 in -1/3, -10.7, 0.1, -5, -0.2?
0.1
Which is the nearest to 29/262? (a) 0.1 (b) -1 (c) 3
a
What is the closest to 0 in 8/3, 0.7, -7.3, -4?
0.7
What is the nearest to -4 in -330, 7/5, 2?
7/5
What is the closest to 2 in -2, -19, 15?
-2
What is the closest to 12 in -5, -21, 0, -2/5?
0
What is the closest to -1 in -13, -1, -1/2, 4, -2?
-1
Which is the nearest to -0.1? (a) 1.228 (b) 3 (c) 502
a
Which is the nearest to -2/9? (a) -1 (b) -15 (c) -800
a
What is the closest to 0.1 in 1/39, 0.2, -0.2, 7?
1/39
Which is the closest to 0? (a) -0.3 (b) -8/9 (c) 0.204 (d) 1/2
c
What is the nearest to 2/3 in -1/3, 16144/11, -0.1?
-0.1
Which is the closest to -2? (a) 2 (b) -16 (c) 3 (d) 2/11 (e) 2/135
e
Which is the closest to -1? (a) -149 (b) -2 (c) 0.12 (d) 1/3
b
Which is the closest to -2? (a) -1351 (b) -11 (c) 0.1
c
Which is the closest to 0.1? (a) 92 (b) -3 (c) 75
b
What is the closest to -2/5 in -4, -2, -0.1, -5762.3?
-0.1
What is the nearest to 126/41 in -2/3, -0.5, 5, -2/5, -4?
5
Which is the closest to 0.1? (a) 14 (b) 8/1085 (c) 1/9 (d) 2 (e) -0.1
c
Which is the nearest to -0.1? (a) 0.21 (b) 1/2 (c) -1/3 (d) 0.1001 (e) 0.3
d
What is the nearest to -68.9 in -1/4, -1/2, -0.02?
-1/2
What is the closest to -27/4 in 26, -2/21, 41?
-2/21
Which is the nearest to -1? (a) 7 (b) -0.2 (c) -1/1004 (d) -0.4 (e) 0
d
Which is the nearest to 1? (a) -0.2 (b) -3/5 (c) 7 (d) -0.4 (e) -3/31
e
Which is the closest to -1? (a) 1/4 (b) -5 (c) 0 (d) -6 (e) -91
c
What is the closest to 0.1 in 0.4, 32.73, -5?
0.4
Which is the closest to 350? (a) 2 (b) 0.2 (c) 1
a
Which is the closest to 0.0317? (a) 0 (b) 1/4 (c) 3 (d) -2/5 (e) 1/8
a
What is the closest to 0.4 in 14, 0, 0.3, -0.0992?
0.3
What is the nearest to 2/29 in -0.6, 2/3, -2/3, -11, -4?
2/3
What is the nearest to -4 in -1/16, 0.01, 1, -5, -1/3?
-5
What is the closest to 6 in 0.05, 5/319, -5?
0.05
Which is the nearest to 1? (a) 312/7 (b) 2/9 (c) -2 (d) 2/3
d
What is the nearest to 17 in -0.07, -1/2, 2, 1/26?
2
Which is the nearest to 0.1? (a) 0 (b) 0.5 (c) -2/11 (d) 76.5
a
Which is the nearest to 4? (a) -2 (b) 0.02 (c) 0.1 (d) -10
c
What is the closest to -0.02 in 11, -0.03, 1/246?
-0.03
Which is the nearest to 0? (a) -112 (b) 1/9 (c) 0.69 (d) 0
d
Which is the closest to -1/541? (a) 2/7 (b) -16 (c) -1/13
c
Which is the nearest to 2? (a) 3 (b) 28.3 (c) -0.9 (d) -5
a
What is the nearest to 3/110 in 0.03, 0.4, 1/20, -4/3?
0.03
Which is the closest to -0.5? (a) -1/3 (b) 3/4 (c) 2 (d) 12/493
a
What is the closest to -48/13 in 143/5, -4, 1?
-4
What is the nearest to -73 in -0.01, -103/4, -5, -2/3?
-103/4
What is the nearest to 3/5 in -1, -1/2, -5, -6/727?
-6/727
Which is the closest to 220? (a) -0.1 (b) -3 (c) 5 (d) -0.3 (e) -2/149
c
What is the nearest to -2/3 in 2/5, -0.1071, 2, 1?
-0.1071
What is the nearest to 0 in 0.5, -213, 11, -3?
0.5
Which is the closest to -1/5? (a) 4 (b) 2 (c) -63 (d) -1/4
d
What is the nearest to -1 in -3, -16.8, -1/6, -2, 0.1?
-1/6
Which is the nearest to 0.21289? (a) 5 (b) 3 (c) 7
b
What is the closest to -0.2 in -0.39, 5/3, 224, 1, 0.4?
-0.39
What is the nearest to -568 in -1, -8, 0.3?
-8
Which is the closest to 2? (a) -0.3 (b) -68 (c) -0.19 (d) 30
c
What is the nearest to -2/13 in 9.4, -2, 2/3, -5?
2/3
What is the closest to -1 in 2, -48, 3?
2
What is the closest to -1154 in -0.1, 0.4, 3?
-0.1
Which is the nearest to -0.1? (a) -9 (b) 0.1 (c) 14.2 (d) 2 (e) -0.1
e
What is the nearest to -0.1 in -2, 4, -
|
{
"pile_set_name": "DM Mathematics"
}
|
of i?
2
Let z = -7 + 9. Suppose 0*t = -z*t - 60. Let v = 3 - t. What is the units digit of v?
3
Suppose 0 = -4*z + 19 - 3. Suppose -3*l + i = 3*i - 254, 3*i + 367 = z*l. What is the tens digit of l?
8
Suppose 1881 = 5*y + z, 2*z = -y + 5*y - 1502. Suppose -3*s = -5*m + 634, 4*s = -0*m + 3*m - y. What is the hundreds digit of m?
1
Let l(a) = 3*a + 8. Let m be l(6). Suppose -13*v + 14*v - m = 0. What is the tens digit of v?
2
Suppose 2240 = 5*g - 5*l, 7 + 1 = 4*l. What is the units digit of g?
0
Let n be (-1 - ((1 - -4) + -3)) + 107. Suppose g = -5*x + n + 89, -g + 2*x + 158 = 0. What is the units digit of g?
8
Let w(t) = -214*t - 40. What is the tens digit of w(-7)?
5
Let v(k) = 36*k - 18. Let m be v(-6). Let i = -77 - m. What is the units digit of i?
7
Let w(y) = 2*y**3 - 7*y + 5. Let f be w(4). Let x = -18 + f. What is the tens digit of x?
8
Suppose k - 3 + 13 = 0. Let b be (-4)/k + 190/25. Suppose 2*j + b = 58. What is the tens digit of j?
2
Let a(r) = -r**2 - 45*r - 45. What is the tens digit of a(-24)?
5
Let d = 12 - 4. Suppose l - 3*c = -4*c + 100, c = -1. Suppose d - l = -3*f. What is the units digit of f?
1
Let o(q) = -q**2 - 21*q - 43. Let h = -59 - -43. What is the units digit of o(h)?
7
Let t(u) = 3*u**2 + 21*u + 63. What is the units digit of t(-18)?
7
Suppose 5 = 3*h + 47. Let x be ((-4)/h)/(5/35). Let k = x - -16. What is the units digit of k?
8
Let l = 121 + 5. Suppose 0 = 6*n + 3*n - l. What is the tens digit of n?
1
Let t(s) = 2*s**2 - 66*s + 108. What is the thousands digit of t(44)?
1
Let b = -10 + 29. Let r = 23 - b. What is the units digit of (r - 10)*-3 - -3?
1
Suppose 0 = 5*n - 4*n - 5. Suppose o + 152 = n*o. What is the units digit of o?
8
Let m = 45 + -47. Let u(b) = 25*b**2 + 3*b + 4. What is the units digit of u(m)?
8
Suppose -1058 = 3*w + 2*n - 5561, 0 = -5*w - 2*n + 7509. What is the thousands digit of w?
1
Let l(n) = 10*n**2 + 4*n - 4. Let p be l(1). What is the tens digit of (2 - p)*-16 - (2 - 3)?
2
What is the tens digit of (-3 + 70/21)*5505?
3
Let n(o) = 37*o - 1. Let m be n(3). Suppose -6*k + m = -70. What is the tens digit of k?
3
Suppose -3*r - 12 = -3*m, -4*m = -2*r - r - 9. Let l = r + 21. What is the units digit of l?
4
What is the units digit of 210/(((-6)/(-8))/((-10)/(-20)))?
0
Let r be 5 - 4/(2 - -2). Suppose r*h = 3*b + 89, 0*b + 5*b = 4*h - 95. What is the units digit of h?
0
Let k = 1095 - -1252. What is the units digit of k?
7
Suppose 82 = 17*p - 105. What is the tens digit of p?
1
Let v(l) be the second derivative of -l**4/12 + l**3/3 - 7*l. What is the units digit of v(1)?
1
Suppose -6 = -p + 3*p. Suppose -3*r = 3*g - 33, -13*r + 9*r = 5*g - 57. What is the units digit of (g*1)/(p/(-12))?
2
Suppose -84*k + 2552 = -80*k. Let c = k - 367. What is the units digit of c?
1
Suppose 4 = -2*i + 4*i. Suppose -4*n = -i*k + 6, -k + 4*k = n - 1. What is the units digit of n/(-10) - 336/(-70)?
5
Let k(g) = 397*g + 25. What is the hundreds digit of k(2)?
8
Let b be ((-4)/((-4)/(-1)) - 0) + 153. What is the hundreds digit of (195/26)/(6/b)?
1
Let y(p) = p**3 - 7*p**2 + 101*p + 44. What is the units digit of y(19)?
5
Let m = -115 + 119. Suppose -2*f - 113 = -3*v + 742, v - 285 = m*f. What is the hundreds digit of v?
2
Let u = 30 - 29. Let o be 0 + u - (-24)/12. Suppose -41 = -d - 0*s + s, o*s - 192 = -4*d. What is the units digit of d?
5
Let a(y) = -y**2 - 10*y - 8. Let t be a(-6). Let i = 39 - t. Suppose 2*v + i = 5*r - 63, 3*r - 3*v - 57 = 0. What is the tens digit of r?
1
Let v(w) = -6*w - 6 + 1 - w**2 + 16*w - 2*w**3. What is the tens digit of v(-5)?
7
Let v = 1140 - -623. What is the units digit of v?
3
What is the tens digit of 26/(208/1320)*13/3?
1
Suppose 568*h - 553*h = 10275. What is the tens digit of h?
8
Suppose 9674*i + 22624 = 9681*i. What is the hundreds digit of i?
2
Let i = -3557 + 6389. What is the hundreds digit of i?
8
Suppose 486*y - 13118 = 472*y. What is the units digit of y?
7
What is the hundreds digit of 2038/18*(-88 + 97)?
0
Let k = 422 + -233. Let i = k + -123. What is the tens digit of i?
6
Let b(m) be the third derivative of m**5/10 + m**4/8 + 5*m**3/2 + 30*m**2. What is the tens digit of b(-5)?
5
Let c(s) = -4 - s + 9 - 5*s - 6*s**2. Let u(t) = 7*t**2 + 7*t - 6. Let v(m) = -5*c(m) - 4*u(m). What is the units digit of v(-6)?
9
Let f(l) = 2312*l**2 + 2*l - 4. What is the units digit of f(-1)?
6
Suppose 2 - 92 = -5*x. What is the units digit of (-14)/(-63) - (-2588)/x?
4
Let f(y) = -1940*y - 7. What is the tens digit of f(-1)?
3
Suppose d = 5*w - 12628 - 11084, 4*w = -4*d + 18960. What is the thousands digit of w?
4
Let g(o) = 29*o**2 - 2*o - 15. Let q be g(4). Let u = 684 - q. What is the hundreds digit of u?
2
Let o be (-2)/(-4) - (665/(-14))/5. Let n(x) = -x**3 + 10*x**2 + 9*x - 1. What is the units digit of n(o)?
9
Suppose -13*z = 3*z - 39328. What is the thousands digit of z?
2
Suppose -2*i - 2*x + 4606 = 0, -4636 = -50*i + 48*i + 4*x. What is the tens digit of i?
0
Let c = 16 - 13. Suppose -q + 2*q = c*f - 16, 3*q = 5*f - 28. What is the units digit of 2 - 2 - (q + 0)?
1
Suppose 4 = -4*y - 24. Let o be y*(12/14)/(-2). Suppose 57 - 208 = -4*c + o*s, -c + 9 = 5*s. What is the units digit of c?
4
Suppose -1755 = -4*g + 2*a - 309, -4*g = 3*a - 1441. What is the hundreds digit of g?
3
Suppose 8*s - 571 = 789. What is the tens digit of s?
7
Suppose -4*q + 12 = -0. Let n(r) = 32*r + 8. What is the hundreds digit of n(q)?
1
Let g = 465 + -236. What is the units digit of g?
9
Suppose 0 = -5*r + 4*r + 5*r. Suppose 8*m + 129 - 441 = r. What is the units digit of m?
9
Let i be (-1 - (-78)/(-18))*(-27)/6. Let b = i - -132. What is the hundreds digit of b?
1
Let c(w) = w**2 + 8*w - 5. Let g be c(-9). Suppose -182 = -2*n + g. What is the tens digit of n?
9
Suppose -5*x + 734 = 4*z, -221 - 501 = -4*z + x. What is the units digit of z?
1
Let q = 4 + 1. Suppose 2 = 2*j - d - 8, 2*d = q*j - 27. Suppose j*h - 4*h = 123. What is the tens digit of h?
4
Suppose 2*o - 5*g - 326 = -10*g, 5*o + 5*g = 800. What is the hundreds digit of o - (5 - 5 - 5)?
1
Suppose -4507 = -14*x + 7225. What is the tens digit of x?
3
Suppose -2*q = -3*n - 25, -4 = q - 0. Let o(l) = -l**3 - 11*l**2 - 7*l - 13. What is the tens digit of o(n)?
6
Let w be 0 - (-4)/(-2) - -6. Suppose -k = -2, -13 = w*i + i + k. What is the units digit of (-16)/((-6)/3) + i?
5
Suppose -8*k + 21*k - 520 = 0. Suppose -k + 8 = -2*i. What is the units digit of i?
6
Suppose -77 - 1763 = -10*c. What is the tens digit of c?
8
Suppose -4*u + u = -42. Let k(i) = -i**2 + 17*i - 15. What is the tens digit of k(u)?
2
Suppose -4*l = -6*l + 1010. What is the tens digit of l?
0
Suppose 31 + 25 = 7*h. What is the tens digit of (2/h)/((-4)/(-848))?
5
Suppose u = 5*o - 9, -3*u - 3*o + 30 = o. Let s = 8 - u. Suppose 3*z - 23 = s*z. What is the tens digit of z?
2
Suppose 9*r = -4*r + 37635. What is the thousands digit of r?
2
Let d = -164 - -72. Let n = d + 123. What is the tens digit of n?
3
Let q = -12 + 20. Let b be 4/q - (-23)/2. Let g = b - -4. What is the tens digit of g?
1
Let q = 101 - -318. What is the tens digit of q?
1
Let a(t) = t - 4. Let l be (-13)/(-2) - 2/(-4). Let g be a(l). Suppose 2*n = -g*v + 7*n + 32, 5*n - 10 = 0. What is the tens digit of v?
1
Let j(x) = x**3 - 9*x**2 - 6*x - 13. Suppose -9*g + 10 = -8*g. What is the tens digit of j(g)?
2
Let m = 6890 - 1770. What is the hundreds digit of m?
1
What is the tens digit of (-20)/(-3)*(-1008)/(-105)?
6
Let v(h) = -h**2 + 4*h + 3. Let m be v(4). Suppose 4*j = m*w - 20, 5*j + 0*j + 25 = 0. Suppose w = 4*f - 0*f - 36. What is the units digit of f?
9
Let f(q) = 8*q**2 - 4*q - 14. What is the hundreds digit of f(6)?
2
Let q(d) = -d**3 + 20*d**2 - 14*d - 43. Let v(t) = t**2 + t + 19. Let p be v(0). What is the tens digit of q(p)?
5
Suppose -3*r - 29 = -95. Suppose -5*n + 598 = -r. What is the hundreds digit of n?
1
Suppose 20 = 2*q + q - 4*d, -5*q + 2*d = -10. Let o(j) = -j**3 + j + 58. Let k be o(q). Suppose -6*i = -4*i - k. What is the units digit of i?
9
Suppose 3238 = r - 104*k + 102*k, -2*k = -4*r + 12928. What is the thousands digit of r?
3
Let b(a) = -2*a**2 - 17*a + 10. Let n be b(-8). Suppose 3*l - 3*y = -2*l + 37, -n = -2*l - 2*y. What is the units digit of l?
8
Let w(a) = 4*a - 9. Let t b
|
{
"pile_set_name": "DM Mathematics"
}
|
20 is divided by 21?
16
What is the remainder when 604 is divided by 12?
4
Calculate the remainder when 13726 is divided by 199.
194
Calculate the remainder when 50 is divided by 27.
23
What is the remainder when 314 is divided by 15?
14
What is the remainder when 89 is divided by 5?
4
What is the remainder when 19798 is divided by 300?
298
What is the remainder when 127 is divided by 52?
23
What is the remainder when 2043 is divided by 73?
72
What is the remainder when 147 is divided by 15?
12
What is the remainder when 223 is divided by 40?
23
What is the remainder when 46 is divided by 34?
12
Calculate the remainder when 24 is divided by 4.
0
What is the remainder when 90 is divided by 32?
26
What is the remainder when 1325 is divided by 121?
115
Calculate the remainder when 756 is divided by 45.
36
What is the remainder when 18305 is divided by 81?
80
What is the remainder when 204 is divided by 19?
14
Calculate the remainder when 13788 is divided by 16.
12
What is the remainder when 161 is divided by 21?
14
Calculate the remainder when 230 is divided by 32.
6
Calculate the remainder when 171 is divided by 85.
1
Calculate the remainder when 1118 is divided by 40.
38
Calculate the remainder when 299 is divided by 59.
4
What is the remainder when 1185 is divided by 146?
17
What is the remainder when 991 is divided by 122?
15
Calculate the remainder when 208 is divided by 24.
16
Calculate the remainder when 39 is divided by 18.
3
What is the remainder when 194 is divided by 24?
2
Calculate the remainder when 238 is divided by 30.
28
Calculate the remainder when 1014 is divided by 34.
28
What is the remainder when 21 is divided by 5?
1
What is the remainder when 8429 is divided by 30?
29
What is the remainder when 12 is divided by 11?
1
Calculate the remainder when 421 is divided by 81.
16
What is the remainder when 92 is divided by 73?
19
What is the remainder when 2389 is divided by 342?
337
Calculate the remainder when 2274 is divided by 120.
114
What is the remainder when 693 is divided by 24?
21
Calculate the remainder when 342 is divided by 102.
36
Calculate the remainder when 578 is divided by 150.
128
Calculate the remainder when 146 is divided by 25.
21
Calculate the remainder when 371 is divided by 125.
121
What is the remainder when 944 is divided by 309?
17
Calculate the remainder when 24 is divided by 5.
4
Calculate the remainder when 1483 is divided by 216.
187
Calculate the remainder when 2125 is divided by 152.
149
Calculate the remainder when 40 is divided by 7.
5
What is the remainder when 3079 is divided by 308?
307
What is the remainder when 2452 is divided by 608?
20
What is the remainder when 8045 is divided by 161?
156
What is the remainder when 309 is divided by 76?
5
What is the remainder when 6818 is divided by 11?
9
Calculate the remainder when 80 is divided by 17.
12
What is the remainder when 289 is divided by 92?
13
Calculate the remainder when 8127 is divided by 16.
15
Calculate the remainder when 142 is divided by 16.
14
Calculate the remainder when 778 is divided by 196.
190
Calculate the remainder when 1100 is divided by 46.
42
What is the remainder when 410 is divided by 130?
20
What is the remainder when 73 is divided by 19?
16
Calculate the remainder when 445 is divided by 56.
53
What is the remainder when 177 is divided by 91?
86
Calculate the remainder when 41 is divided by 9.
5
Calculate the remainder when 53 is divided by 45.
8
Calculate the remainder when 261 is divided by 98.
65
What is the remainder when 3427 is divided by 127?
125
Calculate the remainder when 264 is divided by 91.
82
What is the remainder when 760 is divided by 7?
4
Calculate the remainder when 3753 is divided by 7.
1
What is the remainder when 15 is divided by 13?
2
What is the remainder when 895 is divided by 26?
11
Calculate the remainder when 206 is divided by 98.
10
What is the remainder when 642 is divided by 94?
78
Calculate the remainder when 113 is divided by 64.
49
Calculate the remainder when 219 is divided by 37.
34
Calculate the remainder when 106 is divided by 15.
1
What is the remainder when 704 is divided by 253?
198
What is the remainder when 374 is divided by 13?
10
What is the remainder when 1412 is divided by 9?
8
What is the remainder when 64 is divided by 36?
28
Calculate the remainder when 313 is divided by 64.
57
Calculate the remainder when 1381 is divided by 105.
16
What is the remainder when 140 is divided by 47?
46
Calculate the remainder when 160 is divided by 50.
10
Calculate the remainder when 504 is divided by 164.
12
What is the remainder when 1070 is divided by 110?
80
Calculate the remainder when 164 is divided by 78.
8
Calculate the remainder when 5116 is divided by 43.
42
Calculate the remainder when 6931 is divided by 2309.
4
What is the remainder when 6365 is divided by 18?
11
Calculate the remainder when 2620 is divided by 13.
7
What is the remainder when 35 is divided by 9?
8
What is the remainder when 1610 is divided by 4?
2
What is the remainder when 30 is divided by 16?
14
Calculate the remainder when 5876 is divided by 40.
36
What is the remainder when 1023 is divided by 54?
51
Calculate the remainder when 195 is divided by 53.
36
Calculate the remainder when 266 is divided by 69.
59
What is the remainder when 274 is divided by 84?
22
What is the remainder when 960 is divided by 211?
116
Calculate the remainder when 2472 is divided by 812.
36
What is the remainder when 1017 is divided by 68?
65
What is the remainder when 242 is divided by 139?
103
Calculate the remainder when 667 is divided by 56.
51
What is the remainder when 207 is divided by 71?
65
Calculate the remainder when 434 is divided by 142.
8
Calculate the remainder when 130 is divided by 34.
28
What is the remainder when 3165 is divided by 41?
8
What is the remainder when 93 is divided by 36?
21
What is the remainder when 1520 is divided by 1518?
2
Calculate the remainder when 61 is divided by 1.
0
Calculate the remainder when 199 is divided by 68.
63
Calculate the remainder when 700 is divided by 352.
348
What is the remainder when 90478 is divided by 435?
433
Calculate the remainder when 1313 is divided by 49.
39
What is the remainder when 131 is divided by 46?
39
Calculate the remainder when 237 is divided by 24.
21
Calculate the remainder when 2295 is divided by 10.
5
Calculate the remainder when 1088 is divided by 13.
9
Calculate the remainder when 752 is divided by 63.
59
What is the remainder when 6060 is divided by 7?
5
What is the remainder when 505 is divided by 39?
37
Calculate the remainder when 1117 is divided by 555.
7
What is the remainder when 7587 is divided by 23?
20
Calculate the remainder when 964 is divided by 34.
12
Calculate the remainder when 183 is divided by 37.
35
Calculate the remainder when 224 is divided by 45.
44
What is the remainder when 35 is divided by 9?
8
What is the remainder when 7198 is divided by 225?
223
Calculate the remainder when 629 is divided by 99.
35
Calculate the remainder when 2013 is divided by 52.
37
Calculate the remainder when 18 is divided by 10.
8
What is the remainder when 309 is divided by 35?
29
What is the remainder when 234 is divided by 60?
54
What is the remainder when 386 is divided by 30?
26
What is the remainder when 75 is divided by 52?
23
What is the remainder when 1254 is divided by 37?
33
Calculate the remainder when 188 is divided by 23.
4
What is the remainder when 55694 is divided by 141?
140
Calculate the remainder when 2673 is divided by 1331.
11
What is the remainder when 160 is divided by 14?
6
What is the remainder when 499 is divided by 126?
121
Calculate the remainder when 497 is divided by 6.
5
What is the remainder when 67 is divided by 24?
19
Calculate the remainder when 345 is divided by 91.
72
Calculate the remainder when 778 is divided by 175.
78
What is the remainder when 443 is divided by 37?
36
Calculate the remainder when 273 is divided by 254.
19
What is the remainder when 18 is divided by 7?
4
What is the remainder when 615 is divided by 177?
84
What is the remainder when 1449 is divided by 95?
24
What is the remainder when 11644 is divided by 128?
124
What is the remainder when 485 is divided by 27?
26
What is the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
13) + 187209
Simplify (sqrt(153) - sqrt(153)*1) + -5 + sqrt(153) + 0 + sqrt(153) + -1 - ((sqrt(153)*2 + 2)*4)**2.
-9862 - 378*sqrt(17)
Simplify ((sqrt(1980)*-2*-4)/(sqrt(5) + (2*sqrt(80) - sqrt(80)) + sqrt(405)))**2.
6336/49
Simplify (sqrt(475) + -1 + -4 + sqrt(475) - sqrt(475) - sqrt(475))**2 - (4 + -1*sqrt(171)).
3*sqrt(19) + 21
Simplify 5 + (-2*sqrt(117))**2*5 + 5*((sqrt(13) + sqrt(143)/(sqrt(11)*-1))**2 - sqrt(13) - sqrt(13)).
-10*sqrt(13) + 2345
Simplify (-4*5*(sqrt(8)*2 + 3 + 1))**2.
12800*sqrt(2) + 19200
Simplify -1*sqrt(1872)*-6 + -3 - -1*(sqrt(1573) - sqrt(1573)*2)**2*2.
72*sqrt(13) + 3143
Simplify ((sqrt(187)*-1*5 - 4*1*sqrt(187))/(sqrt(396) + sqrt(396)*1 + -2*sqrt(11)*-4))**2.
1377/400
Simplify (-5*(2*sqrt(640) + sqrt(640) - sqrt(640))/sqrt(5) - (5*(sqrt(90) + sqrt(10)))/(sqrt(125) - ((sqrt(125) - -2*sqrt(125)) + sqrt(125)) - sqrt(125)))**2.
12482
Simplify (-2*(1 + 1 + sqrt(208) + sqrt(208)*1 + sqrt(208)*4*-1))**2.
-128*sqrt(13) + 3344
Simplify -3*4*(5*(sqrt(76) + -1))**2.
-23100 + 1200*sqrt(19)
Simplify (sqrt(170)/(1*sqrt(10)) - (sqrt(612) + 2))**2 - (1*sqrt(272) + (sqrt(34) - sqrt(850))/sqrt(2)).
20*sqrt(17) + 429
Simplify 3 + ((sqrt(405) + -1 + -3 + sqrt(405))*4 + 4)**2.
-1728*sqrt(5) + 26067
Simplify 0 + sqrt(208) + (-1*-1*sqrt(13))**2 + 5 + (3 + sqrt(1872))**2.
76*sqrt(13) + 1899
Simplify -6*((-6*sqrt(132))/sqrt(3) + 2*sqrt(1584)).
-72*sqrt(11)
Simplify 4 + -6*(sqrt(26)/(sqrt(8)/(sqrt(4) - (-2*sqrt(4) + sqrt(4)))) + (-5*-2*sqrt(117))/sqrt(9)).
-72*sqrt(13) + 4
Simplify (sqrt(224)*-4 - sqrt(224))/(2*sqrt(28)).
-5*sqrt(2)
Simplify (-1 + sqrt(147)*-2 + -2 + (2 + sqrt(147))*6 + 4)**2.
728*sqrt(3) + 2521
Simplify (-5 + sqrt(833) + sqrt(833) + sqrt(833)*3 + 3 + -5)**2.
-490*sqrt(17) + 20874
Simplify (sqrt(405) + 3*(sqrt(405)*2 - sqrt(405)) + sqrt(405) + sqrt(405) + (sqrt(405) - (5 + sqrt(405) + 1)) + sqrt(405) - (5 + 5*(-1 + sqrt(405))))**2.
-216*sqrt(5) + 1656
Simplify -1 + (sqrt(2) - (1 + sqrt(200) - sqrt(2))**2)*-5 + ((sqrt(242) + (sqrt(242) - (sqrt(242) + 0 + sqrt(242)) - sqrt(242)))**2*-3 - sqrt(242))*4.
-2090 + 41*sqrt(2)
Simplify (sqrt(405)*-1 + 4)**2 - (sqrt(720) + (-1 + sqrt(720))**2)*-1.
-84*sqrt(5) + 1142
Simplify ((sqrt(25) - sqrt(50)/sqrt(2))*4 - sqrt(25))/(-2*sqrt(245))*-2.
-sqrt(5)/7
Simplify 3*(sqrt(7) + 0 + sqrt(7) + -3 - (3 + sqrt(448)))*-5.
90 + 90*sqrt(7)
Simplify -4*((sqrt(567)*-1)/(sqrt(81)*-1 + sqrt(9))*2)**2.
-252
Simplify sqrt(102)/(2*sqrt(486))*-5 - ((sqrt(136) + (sqrt(136)*-1 + sqrt(136))*5)/(sqrt(32)/(-2*sqrt(4)) + sqrt(8) - sqrt(8)))**2.
-68 - 5*sqrt(17)/18
Simplify (sqrt(44)/sqrt(64) + sqrt(539) + -1)**2 - (sqrt(11)*-1*-2 + sqrt(11) + 5).
-35*sqrt(11)/2 + 9187/16
Simplify (sqrt(117)/(sqrt(9) - sqrt(1296)*1) - ((sqrt(104) - (sqrt(104) + 2*sqrt(104))*-3) + sqrt(104) + sqrt(104) + sqrt(104))/sqrt(8))*1.
-144*sqrt(13)/11
Simplify (-3*-3*sqrt(119)*1)/(4*(sqrt(1008) - (sqrt(1008)*-1 + sqrt(1008)) - sqrt(1008)) - sqrt(1008))*-5.
15*sqrt(17)/4
Simplify (sqrt(1280)*-2)/(5*sqrt(640)).
-2*sqrt(2)/5
Simplify (4*((sqrt(700) - (1 + (sqrt(700) - (sqrt(700) + 2)))) + (sqrt(700) - (sqrt(700) + -2)) + -4))**2.
-320*sqrt(7) + 11216
Simplify ((sqrt(30)/sqrt(3))/sqrt(2) - (-2*sqrt(500))**2) + (1*sqrt(2420))**2.
sqrt(5) + 420
Simplify ((sqrt(84) + sqrt(84)*-5)*-1)/(5*sqrt(192)).
sqrt(7)/5
Simplify (sqrt(91) + (sqrt(91) - sqrt(91)*-2*-6))/(sqrt(847)*4 - sqrt(847)).
-10*sqrt(13)/33
Simplify (sqrt(76) - 1*sqrt(76)*-1) + -2*((2*sqrt(76))**2 - sqrt(76)) + -3 + (2 + sqrt(171) + 1)**2.
-431 + 26*sqrt(19)
Simplify -3*sqrt(1331) + 4 + 3*(sqrt(1331) + -1 + sqrt(1331))**2.
-165*sqrt(11) + 15979
Simplify (sqrt(756) - 3*sqrt(756)*2)/(4*(sqrt(3) + sqrt(3)*3*2)).
-15*sqrt(7)/14
Simplify (1 + 3 + -2*sqrt(2448))**2 + 2*(1*(sqrt(2448) + sqrt(2448) + 2))**2.
29400
Simplify (sqrt(32)/(sqrt(22)/(-2*sqrt(11))))/(sqrt(72)/(sqrt(144) - sqrt(144)*-2)).
-24*sqrt(2)
Simplify -5 + 4 + -2*(-5*(sqrt(75) - (0 + sqrt(75)))*-3)**2.
-1
Simplify 6*(0 + (4*sqrt(19)*4 - -4*sqrt(1539)))**2.
308256
Simplify 4 + sqrt(2057) + -1 - (-5 + 1 + sqrt(272)).
7 + 7*sqrt(17)
Simplify ((2*sqrt(1458))/(2*sqrt(9)*-5))**2*-4*1.
-648/25
Simplify 2*((sqrt(133) - sqrt(133)*-1 - sqrt(133) - sqrt(133))*-6)/(sqrt(42)/sqrt(6)*2).
0
Simplify -2 + sqrt(11)*-1 + -5 + (2*(sqrt(891) + 1))**2 + sqrt(891).
80*sqrt(11) + 3561
Simplify 4*(-5 + 5*-1*(sqrt(72) - (3 + sqrt(72)))**2*6).
-1100
Simplify sqrt(28)/(1*sqrt(324) + sqrt(324) + sqrt(324)) + ((sqrt(175) + -1)*-4)**2.
-4319*sqrt(7)/27 + 2816
Simplify (-3 + -3*(sqrt(700)*-3 + 2))**2.
-1620*sqrt(7) + 56781
Simplify sqrt(1539) + 1 + sqrt(1539) + 4 - (sqrt(1539)*-2 + 2).
3 + 36*sqrt(19)
Simplify ((-4 + (-2*sqrt(700) + 5 - (sqrt(700) + 2 + (sqrt(700)*-3 - sqrt(700)))))*-6)**2.
-720*sqrt(7) + 25236
Simplify (5 + sqrt(704) + 0 + 3)*6.
48 + 48*sqrt(11)
Simplify -2 + -5*(3 + 5 + (((sqrt(7) + -2 + sqrt(7))*2)**2 - sqrt(7))).
-682 + 165*sqrt(7)
Simplify -4*(sqrt(85)/(sqrt(5)*-1*-4) + (sqrt(612) - (sqrt(612) - -1*sqrt(612))) + sqrt(612) + -1)**2*5.
-165/4 + 10*sqrt(17)
Simplify (-6*((sqrt(242)*-1)/sqrt(11))/(sqrt(11) - -4*sqrt(44))*2)**2.
32/9
Simplify (1*(sqrt(52)*-2 - (-1 + sqrt(13)*2))*-1)**2.
-12*sqrt(13) + 469
Simplify ((sqrt(250)*3)/sqrt(10)*-4)/((sqrt(5) - sqrt(605)*-4)*-1).
4*sqrt(5)/15
Simplify (((1*sqrt(288) + sqrt(288))*1 + (sqrt(288) + 1*sqrt(288))*1)*-6)**2.
165888
Simplify (sqrt(75)/sqrt(3)*-2)/(2*sqrt(605))*2.
-2*sqrt(5)/11
Simplify ((sqrt(704)*-4*3 + sqrt(704))**2 - (sqrt(33)/sqrt(3)*-4 + 2)) + -2.
4*sqrt(11) + 85180
Simplify (1*sqrt(147)*1 + (sqrt(6) + sqrt(216) - sqrt(6))/sqrt(2)*-2)**2.
75
Simplify (2*sqrt(24)*-2*6)/(sqrt(16)/sqrt(72)*-4).
36*sqrt(3)
Simplify 2 + sqrt(3888) + sqrt(3888) + (1 + sqrt(48))**2 + -2 + -3 + 4.
50 + 80*sqrt(3)
Simplify 4*(-2 + (sqrt(171) + 0)**2 + sqrt(171) + 2).
12*sqrt(19) + 684
Simplify (1*(sqrt(17)*-3*1 + sqrt(85)/(sqrt(5)*4)))**2.
2057/16
Simplify (-5*sqrt(245)*-2*3)**2 - ((sqrt(180) - (sqrt(180) - (sqrt(180) + sqrt(180)*-1)*2))/sqrt(4))**2.
220500
Simplify (3 + -5 + -2 + 2*sqrt(112) + 3)**2.
-16*sqrt(7) + 449
Simplify -4*(sqrt(15)*3*-6)/(sqrt(3)*4*-1).
-18*sqrt(5)
Simplify ((2*sqrt(65))/sqrt(5))**2*-5 - (-1 + (-2 + sqrt(13))*-5).
-269 + 5*sqrt(13)
Simplify (sqrt(38) - 2*sqrt(38))/sqrt(2) + -2 + (sqrt(304) + -3 + sqrt(304)*-2)**2 + -1.
23*sqrt(19) + 310
Simplify (sqrt(21) + 5*sqrt(63)/sqrt(3) - (sqrt(21) - (sqrt(21) + -1*sqrt(336))))/(((sqrt(7) - sqrt(63)) + sqrt(7))*6*2).
-sqrt(3)/6
Simplify 3 + (6*sqrt(60)*1)/(sqrt(192)*-5).
-3*sqrt(5)/10 + 3
Simplify -3 + 1*sqrt(72) + (5 + sqrt(162) + -2 + sqrt(162) + sqrt(162))**2.
168*sqrt(2) + 1464
Simplify 4*(sqrt(200) + -1 + -3 + (sqrt(200) + -1)*-3 + 0)**2.
160*sqrt(2) + 3204
Simplify (sqrt(6) - (sqrt(30)/sqrt(5) - sqrt(6))*6)/(sqrt(3) - sqrt(243)*2 - sqrt(3)).
-sqrt(2)/18
Simplify (sqrt(85) + sqrt(85) + sqrt(85)*2*5 + sqrt(85) + sqrt(85) + -5*-2*sqrt(85) + sqrt(85))/(-6*(sqrt(5) - sqrt(605)*-1)).
-25*sqrt(17)/72
Simplify (2*(-3*sqrt(80) + -4)*-2)**2.
1536*sqrt(5) + 11776
Simplify -2 + ((-2 + sqrt(1584) + sqrt(1584))**2*5 + sqrt(1584))*3.
-1404*sqrt(11) + 95098
Simplify (3 + ((sqrt(1216)*3 - sqrt(1216)) + -4 - (sqrt(1216) + -2 + 4*sqrt(1216))))**2.
-48*sqrt(19) + 10945
Simplify ((sqrt(48) + 0)*2)**2*6 - (sqrt(12)*-2*3)/(sqrt(400) + sqrt(400)*1).
3*sqrt(3)/10 + 1152
Simplify (-4*(sqrt(180) + -1 + -4 + 6*2*sqrt(180))*-2)**2*2.
-99840*sqrt(5) + 3896960
Simplify -3 + -1 + sqrt(272) + sqrt(272) + sqrt(17) + (sqrt(17) - (sqrt(612) + -1)) + sqrt(17) + sqrt(17) - (1 + sqrt(425))**2*2*1.
-855 - 14*sqrt(17)
Simplify ((sqrt(91) + sqrt(91)*-3)*-5)/(sqrt(21)/sqrt(3)*-4 + sqrt(7)) + -1.
-10*sqrt(13)/3 - 1
Simplify (-1 + 3*-1*(sqrt(72) + (3 + sqrt(72))*-3))**2.
1872*sqrt(2) + 3268
Simplify 5 + 2 + sqrt(104)/(-1*sqrt(8)*-1).
sqrt(13) + 7
Simplify (-3*(sqrt(39)/sqrt(3)*3 - sqrt(13))*4)**2 + -3.
7485
Simplify (3*(sqrt(6) - (sqrt(600) + (sqrt(600)*1 - sqrt(600) - sqrt(600)))))/(-4*(sqrt(2) - -6*sqrt(2)*1)).
-3*sqrt(3)/28
Simplify (sqrt(484) - (sqrt(484) - -5*sqrt(484)*-2))/(sqrt(14)/sqrt(63) + (sqrt(2) - 3*-2*sqrt(2))).
15*sqrt(2)
Simplify (sqrt(190)/((sqrt(20) + -1*sqrt(20))/sqrt(2) - sqrt(10)) - (sqrt(1900)*4 + 5)) + 0.
-41*sqrt(19) - 5
Simplify (sqrt(5) - (0 + (sqrt(5)*-2)**2)) + 4 + sqrt(60)/(sqrt(12) + sqrt(432) + -1*sqrt(432) + sqrt(12)).
-16 + 3*sqrt(5)/2
Simplify (s
|
{
"pile_set_name": "DM Mathematics"
}
|
2/(-10)). Solve -o*b = -7*b + 10 for b.
2
Suppose -9*u + 30 = u. Solve 2*r = -u*r - 15 for r.
-3
Let a(j) be the first derivative of -1/4*j**4 + 0*j - 2 + 4/3*j**3 - j**2. Let s be a(3). Solve s*b + b = 8 for b.
2
Let i(l) = 2*l**3 + 99*l**2 - 151*l + 117. Let d be i(-51). Solve y = 4*y + d for y.
-5
Let s(u) = u**2 - 3*u - 10. Let w be 19/38*(11 - 1). Let v be s(w). Suppose -2*p + 5*p - 6 = v. Solve 0 = 3*b + p*b for b.
0
Let c(o) = o - 1. Let x be c(5). Let q(b) = -5*b**3 + b**2 + b + 1. Let h be q(-1). Let w(y) = 109*y + 547. Let j be w(-5). Solve -h - j = x*z for z.
-2
Let i = -3 - -35. Let m = i + -32. Let w = 0 + 0. Solve w*x - x - 3 = m for x.
-3
Let g(t) = 2*t**2 + 14*t + 14. Let d be g(-6). Solve -d*y = 4*y for y.
0
Let x = -24 - -8. Let l = -7 - x. Solve l = 5*g - 2*g for g.
3
Suppose -5*b + 8*b - c - 203 = 0, 0 = -4*b - 2*c + 264. Let t = -64 + b. Solve 0 = -t*x + x for x.
0
Let r be (-2)/6*(-12 + 0). Suppose -h - 2 = -3*h, r*l - 50 = -2*h. Let z be l/(-36)*(1 - 7). Solve -z*o = o - 15 for o.
5
Let n = 207 - 203. Solve -5*l = -l - n for l.
1
Let y(a) = a**2 - 15*a - 46. Let q be y(18). Solve 6*f - 4*f - q = 0 for f.
4
Let q(f) = f**3 + 3*f**2 + 3*f + 6. Let o be q(0). Solve o + 78 = -21*d for d.
-4
Let k(f) = -f + 13. Let g be k(7). Let l be (1 - 10/15)*g. Solve -4*y + 2 = -l*y for y.
1
Let a(d) = 5*d**2 + 40*d - 39. Let q be a(1). Solve 2*l - q*l = 12 for l.
-3
Let x(h) = h**3 + 7*h**2 + 7*h + 11. Let p be x(-5). Solve 27*i = p*i + 1 for i.
1
Let k(y) = 4*y + 3. Let n be k(2). Suppose 0 = 12*b - n*b + 2. Let z be (-2)/(((-6)/b)/(-6)). Solve -z*m + 6 = -14 for m.
5
Let y = 5 - 2. Suppose y*j = 2*q - 3, 3*q - 4*q - 2 = 2*j. Suppose 0 = -t - q*t. Solve -u - 1 - 1 = t for u.
-2
Suppose 4*f = 2*m + 12, 0 = -4*f + 28 - 8. Let x(b) = -b. Let n(i) = 2*i + 2. Let r be n(-2). Let h be x(r). Solve -h*s + m*s = 0 for s.
0
Let o = 227 + -160. Let j = o + -67. Solve 5 = -h - j for h.
-5
Suppose -5*v + 4*w + 66 = -10*v, -2*v + 4*w - 4 = 0. Let g(y) = 2*y**2 + 20*y. Let t be g(v). Solve t = 2*x + 5 - 3 for x.
-1
Let v(q) = 2*q**3 + 54*q**2. Let j be v(-27). Solve 0 = -2*c + 6 - j for c.
3
Let f be (4/(-1))/(-2) - (-11 - -8). Let k be -5*f/10*-2. Solve 4*p - k = 7 for p.
3
Suppose 8*w - 19 = -3. Let y(d) = 2*d - 6. Let m be y(5). Solve -m = w*t + 4 for t.
-4
Suppose -5*u - f + 0*f + 64 = 0, 0 = 3*f + 3. Suppose 0 = u*m - 8*m - 25. Solve 0 = -0*w - w - m for w.
-5
Suppose 2*g + 2*r = 6, 5*g + 3*r - 30 + 9 = 0. Let o = -3 + 2. Let l = g + o. Solve 0 = -0*u - l*u for u.
0
Let k be ((-16)/(-6))/(4/6). Let j be -6*(-1)/k*2. Suppose z + 3*w + j = 0, 0*z = -3*z + 5*w + 33. Solve z = -2*f - f for f.
-2
Suppose -3*l = 2*l - 40. Let u(v) = -6*v + 2. Let p be u(-3). Let i be (-3)/16 - (-11055)/2640. Solve -i*a = -p + l for a.
3
Suppose 5*f = 2*s - 66, 2*s - 113 = -s + 4*f. Solve 0 = -45*k + s*k + 6 for k.
3
Suppose -2*b + 42 = b - 3*n, -82 = -5*b - n. Solve 0 = 18*m - b*m for m.
0
Let y be 4/(14/(-4) + 3). Let j(x) = -x**2 - 4*x + 34. Let u be j(y). Solve u*d - 4*d + 6 = 0 for d.
3
Let r = 1092 + -1084. Solve 9*q - r + 26 = 0 for q.
-2
Let b(l) = l + 8. Let x be b(-6). Let f(r) = -r**2 + 3*r + 1. Let m be f(x). Suppose -3*g + g + 14 = d, -m*g = -3. Solve -d + 4 = 2*o for o.
-4
Let l(z) = 3*z + 20. Let q be l(-6). Suppose 0 = -0*c - q*c + 18. Let j be c/(5/10 + 1). Solve 4*w + j + 6 = 0 for w.
-3
Suppose -7*m = -6*m - 2. Let d be 3/m - (-2)/4. Suppose 9*i = 5*i + 8. Solve -2*x + i = -d for x.
2
Suppose -2*q + 10 = y, 5*y - 11 = 9. Let h(k) = -4*k - 3*k + q*k. Let a be h(-5). Solve 0 = -2*j - 2*j + a for j.
5
Let h = 14 + -11. Suppose -h = -5*z + 4*z. Let q be 2 + (z - (3 - 0)). Solve 3 + q = -y for y.
-5
Let v(n) = -2*n - 3. Let o be v(-3). Let d = -9 - -14. Suppose -7*f - d*j - 13 = -5*f, f = -4*j - 14. Solve -o*g - f = 9 for g.
-5
Let w = 382 - 346. Solve 13*t - t = w for t.
3
Let m = 2 - 2. Let o(s) = 4*s**3 + 2*s**2 - 4*s + 3. Let t be o(1). Suppose m = -t*a - f + 5, -3*f + 5*f = -a + 10. Solve -2 = 2*w - a for w.
-1
Let a be 100/(-36) + 6/(-27) + 15. Suppose -2 - 10 = -3*m, -5*o - a = -3*m. Solve o = -2*b - 1 + 11 for b.
5
Let o(w) = 5*w**2 - 1. Let x be o(-1). Suppose x*u - 2 = 10. Solve 16 = u*y + y for y.
4
Let l(x) = x - 12. Suppose -2*y + 28 = -3*d - 2, 5*y - 75 = -2*d. Let k be l(y). Suppose q + 3 = -c, 2*c - k*q - 8 = 1. Solve c = 4*v + v + 15 for v.
-3
Let n be 2*4 + (-118)/(-2). Solve -63*o + n*o + 8 = 0 for o.
-2
Suppose 12*m + 30 = 15*m. Let k be 72/m + (-8)/(-10). Solve 3*j = -j - k for j.
-2
Let q = 789 - 789. Let j = 5 - 2. Solve -v - j = -q for v.
-3
Let a(j) = -j**3 - 6*j**2 - 5*j - 29. Let m be a(-6). Solve 5 - m = -4*f for f.
-1
Suppose -8 = 4*s - 4*x, 0*s - 14 = s - 4*x. Let k be ((-8)/12)/(2/(-3)). Solve 0 = -o + s*o - k for o.
1
Let q(f) = -3*f**3 + 2*f - 1. Let u be q(-2). Solve 0 = -6*d + u + 11 for d.
5
Suppose -8 = -9*t - 8. Solve t*p - 1 = -p for p.
1
Let t(k) = -9*k + 4. Let p be t(-8). Suppose 3*b = q - 19 - p, 0 = -5*b + q - 161. Let g be (-16)/(-6) - (-22)/b. Solve r = -0 + g for r.
2
Let j = -56 - -64. Suppose -12 - 13 = -5*g + 2*a, a + j = g. Solve 2*c + g = -1 for c.
-2
Let w be (16/(-12))/(8/12). Let x be ((-40)/(-24))/(w/(-6)). Suppose 3*u - 5*b - 24 = -2*b, 0 = -u + x*b + 24. Solve -p + 5 = u*p for p.
1
Let i = 1351 + -1306. Solve -4*j + i = -19*j for j.
-3
Let r be (1 - 0)*-2 - -2. Let o = -1754 + 1762. Solve -4*k = o - r for k.
-2
Let n(f) = 12*f**2 + 2*f - 1. Let t(o) = 11*o**2 + 3*o - 2. Suppose 6*a - 2*a + 8 = 0. Let c(b) = a*t(b) + 3*n(b). Let j be c(1). Solve -4*p - p + j = 0 for p.
3
Suppose -709 = -v - 706. Solve -j = v*j - 20 for j.
5
Let u(j) = 17*j**3 - j**2 + 4*j - 4. Let f be u(1). Solve l + 3*l = -f for l.
-4
Suppose -2*i = 18 + 18. Let w = i + 33. Solve 2*g - w = 7*g for g.
-3
Suppose -65 = -4*t - y + 105, 0 = -3*t - 3*y + 123. Let o = t - 41. Solve 0 = r - o*r + 1 for r.
1
Let a = -27 + 23. Let z be (-10 - a)*(0 + 1). Let l = 9 + z. Solve 0 = -l*b + 3 for b.
1
Let l(q) = -q**2 - 6*q + 2. Let p be l(-8). Let j = -14 - p. Solve -h - 2 + 3 = j for h.
1
Let h = -98 - -106. Solve m = -h + 4 for m.
-4
Let v(y) = y**2 + 17*y + 36. Let k be v(-16). Suppose -h + 6*h - k = 0. Solve 6 = -h*o - 6 for o.
-3
Let d = -30 + 37. Suppose 4*l = 4*k - 20, -5*k = 6*l - 5*l - d. Solve -w = k*w for w.
0
Let z(q) = 17*q**2 + 13*q - 25. Let k be z(2). Solve -39 + k = 6*p for p.
5
Suppose 0 = 8*a + 74 - 114. Solve -a*p + 16 = -9 for p.
5
Let z(t) = -30 + t**3 - 11*t**2 + 41*t**2 - 18*t - 5 + 72*t. Let x be z(-28). Solve 5 = -4*d + x for d.
4
Suppose 152*v - 2 = 148*v - 2*y, -2*y + 2 = -2*v. Solve -c + 1 + 0 = v for c.
1
Let c = 13 - 12. Let y = -1 + c. Suppose -2*s = -y*s - 10. Solve -2*d + s = -5 for d.
5
Let s be (1 - 20/16)*-20. Suppose s*f = 3*b - 5, -2*b + 8 = -2*f + 2. Suppose 1 - 3 = -g. Solve -3*i = g - b for i.
1
Let i(f) = 3*f**2 + 11*f - 6. Let w be i(-8). Let t = -92 + w. Solve 0 = -3*q - t + 3 for q.
-1
Let y be 120/50*(2 + (-3)/(-6)). Solve -q + y*q = -20 for q.
-4
Suppose 0 = 17*x - 22*x - 150. Let d = x - -30. Solve d*n - 1 = n for n.
-1
Suppose -5*n = 675 - 1745. Let r be -3 - (8/28 + n/(-14)). Solve -r = -2*w - w for w.
4
Let y = 4 + -2. Let j be (0 - 1)/(1/(-4)). Suppose 196*q - 203*q + 56 = 0. Solve -y*l + q = -j*l for l.
-4
Let n be (-20)/(-30) - (-4)/(-6). Suppose -4*v + n*v = 8. Let o = v - -7. Solve p = 2 - o for p.
-3
Suppose -5*m - 5*t + 51 = -9, 2*t = -5*m + 45. Let k be (-61)/(-4) - m/28. Solve k = -0*y + 5*y for y.
3
Suppose 5*x - 4 = 3*h, 4*x - 27 = -3*h + 2*h. Suppose h*n = 1 + 55. Solve -5*u + n*u = -12 for u.
-4
Let h(i) = i**2 + 23*i + 65. Let w be h(-20). Solve -w*d + 16 = -9*d for d.
-4
Suppose 0 = 8*n - 33 + 1. Solve 4*g = -2*g + n*g for g.
0
Let u = 159 + -155. Solve 5*x + u = x for x.
-1
Let r(a) = a - 15. Let i be r(16). Suppose -f - i - 11 = -5*p, 3*p = 2*f + 3. Solve f - 15 = 3*x for x.
-4
Suppose 0 = 5*r + d - 51, -d - 9 - 30 = -4*r. Solve r*h - 6*h = -12 for h.
-3
Let u = -31 + 38. Let i(l) = -l**2 + 7*l + 4. Let t be i(u). Solve b = t*b for b.
0
Let j(k) = -k**3 - 15. Suppose 3*s - 3*z + 15 = 0, 0*s - 3*s + 2*z = 10. Let d be j(s). Let q = -12 - d. Solve -f - 2*f = -q for f.
1
Let q = -28 - -35. Solve -q = k - 10 for k.
3
Let h = 46 + -26. Let z = h - 16. Suppose -p + z*p = 0. So
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Round -2.34448647 to 3 dps.
-2.344
Round -0.000377893648 to six decimal places.
-0.000378
What is 236829.618 rounded to the nearest ten thousand?
240000
Round -6446.470797 to 1 decimal place.
-6446.5
Round 0.000471422679 to 6 dps.
0.000471
Round 4458925.0859 to the nearest 100000.
4500000
Round -0.429187464 to 5 dps.
-0.42919
Round 701.236073 to the nearest 100.
700
Round 65.433653 to the nearest 10.
70
Round 170282935 to the nearest one hundred thousand.
170300000
Round 3.64317711 to 4 decimal places.
3.6432
What is 0.0517269863 rounded to two dps?
0.05
Round -506481509 to the nearest 100000.
-506500000
Round 1644212.76 to the nearest 100.
1644200
What is 5703.77145 rounded to the nearest one thousand?
6000
What is -2987.893178 rounded to 1 decimal place?
-2987.9
What is 0.031260997 rounded to 2 dps?
0.03
What is 0.00145327838 rounded to 7 decimal places?
0.0014533
What is 2229.361252 rounded to the nearest ten?
2230
Round 30021670.8 to the nearest one million.
30000000
Round -56.326354 to two dps.
-56.33
Round -246.494697 to the nearest one hundred.
-200
Round -8235759.39 to the nearest 100000.
-8200000
What is -613651775.9 rounded to the nearest ten thousand?
-613650000
Round 66193396.51 to the nearest one thousand.
66193000
What is 1554.79721 rounded to the nearest ten?
1550
What is -80.927198 rounded to 1 decimal place?
-80.9
What is -15991.4323 rounded to the nearest 1000?
-16000
What is -0.01893067 rounded to 6 dps?
-0.018931
What is -0.46812849 rounded to three dps?
-0.468
Round -198.006201 to one dp.
-198
What is -347178.8015 rounded to the nearest one hundred?
-347200
What is 27.3761693 rounded to 1 dp?
27.4
What is 0.0000767485089 rounded to 6 decimal places?
0.000077
Round 301.490044 to the nearest 100.
300
Round -18.1436531 to 3 dps.
-18.144
Round -59.89959 to zero dps.
-60
What is 3074933.3 rounded to the nearest one million?
3000000
What is 8725.2831 rounded to the nearest 100?
8700
What is 1402571598.6 rounded to the nearest one hundred thousand?
1402600000
Round 2953248.762 to the nearest one hundred.
2953200
Round 0.000002872327569 to seven dps.
0.0000029
What is 25.1325343 rounded to one decimal place?
25.1
Round -62.694072 to the nearest ten.
-60
Round 75.81365243 to the nearest integer.
76
What is 0.0000105667547 rounded to 6 decimal places?
0.000011
Round -80683.605 to the nearest ten thousand.
-80000
What is -0.00000040888506 rounded to six decimal places?
0
What is 0.00538248935 rounded to 6 decimal places?
0.005382
What is 10.109554647 rounded to 2 dps?
10.11
What is -0.914040296 rounded to three dps?
-0.914
Round 0.005536962867 to 3 dps.
0.006
Round -14966484.3 to the nearest 10000.
-14970000
Round 0.219772724 to 2 decimal places.
0.22
Round 843921.25 to the nearest one hundred thousand.
800000
What is -0.09497359906 rounded to 6 dps?
-0.094974
What is 3491.5154 rounded to the nearest 1000?
3000
Round -5028.1577 to the nearest one hundred.
-5000
What is -0.0663498058 rounded to 2 decimal places?
-0.07
What is 252619.5949 rounded to the nearest one hundred thousand?
300000
What is 0.0000110706126 rounded to 6 decimal places?
0.000011
What is -67026558.3 rounded to the nearest ten thousand?
-67030000
What is 0.0158580988 rounded to six decimal places?
0.015858
What is 400.14007 rounded to one dp?
400.1
What is -481661.9667 rounded to the nearest ten thousand?
-480000
Round 0.2350702905 to 3 decimal places.
0.235
What is 1.9989974 rounded to one dp?
2
What is 5479.2677 rounded to the nearest 100?
5500
What is 0.252377084 rounded to 2 decimal places?
0.25
Round -7019478 to the nearest 10000.
-7020000
What is 0.01842154936 rounded to 6 dps?
0.018422
What is 0.0071884741 rounded to four dps?
0.0072
Round 8.998623 to two dps.
9
Round -5531903.01 to the nearest one million.
-6000000
What is -0.001211879 rounded to four decimal places?
-0.0012
Round 79.2779916 to two decimal places.
79.28
What is -1654028.4909 rounded to the nearest 1000?
-1654000
What is 31516772.3 rounded to the nearest 1000?
31517000
What is -13350969100 rounded to the nearest 1000000?
-13351000000
What is 0.000001385003 rounded to 6 dps?
0.000001
Round 7.11595894 to one dp.
7.1
What is -0.00000063942403 rounded to seven decimal places?
-0.0000006
What is -0.0342468611 rounded to four dps?
-0.0342
Round 3536.010648 to the nearest 10.
3540
Round 0.012796323 to five dps.
0.0128
Round -964803.3 to the nearest one hundred.
-964800
What is 45.30417833 rounded to 3 decimal places?
45.304
Round 0.410966195 to two dps.
0.41
What is 5797.58938 rounded to the nearest 10?
5800
What is 8.07560345 rounded to four decimal places?
8.0756
What is 2986176.5 rounded to the nearest one hundred thousand?
3000000
What is 0.0000686108 rounded to 7 decimal places?
0.0000686
What is -0.0323755772 rounded to six dps?
-0.032376
What is 80.1116833 rounded to 3 decimal places?
80.112
What is -42179497.84 rounded to the nearest 100000?
-42200000
What is -489095.88 rounded to the nearest 100?
-489100
What is -0.0074099183 rounded to 3 dps?
-0.007
Round -154958.488 to the nearest 10000.
-150000
Round -0.0188703618 to 4 dps.
-0.0189
What is 1361006894.3 rounded to the nearest ten thousand?
1361010000
What is 12.775239 rounded to one decimal place?
12.8
What is 50.4350039 rounded to 1 decimal place?
50.4
Round 0.877601311 to two decimal places.
0.88
What is -3.09329439 rounded to three decimal places?
-3.093
Round 0.00001818584507 to seven decimal places.
0.0000182
Round 140251.5107 to the nearest ten.
140250
Round 12707.93424 to the nearest one thousand.
13000
Round 0.000160103468 to 5 dps.
0.00016
Round 1.133104151 to 2 decimal places.
1.13
Round -0.002093661311 to 7 dps.
-0.0020937
Round -7123064.83 to the nearest 10000.
-7120000
What is 483317322 rounded to the nearest ten thousand?
483320000
Round -4627814.86 to the nearest one thousand.
-4628000
Round 0.000065979482 to 5 dps.
0.00007
What is 0.1551956793 rounded to five dps?
0.1552
What is 513.7264 rounded to the nearest ten?
510
Round -0.034430752 to five dps.
-0.03443
Round -0.00009578657 to 5 dps.
-0.0001
Round 0.081489323 to 5 decimal places.
0.08149
Round -2544117.09 to the nearest one hundred.
-2544100
What is -108696639.24 rounded to the nearest one million?
-109000000
Round -2048.7236 to the nearest 10.
-2050
Round -64510067.4 to the nearest one thousand.
-64510000
Round -0.564861122 to five dps.
-0.56486
What is -429092.262 rounded to the nearest 10000?
-430000
What is -0.00011591122534 rounded to 6 decimal places?
-0.000116
What is -0.2883740336 rounded to two decimal places?
-0.29
What is 2171500.06 rounded to the nearest 100000?
2200000
Round -34.810281 to the nearest integer.
-35
Round -7.4126656 to two dps.
-7.41
Round 6.2928349 to four dps.
6.2928
What is -0.00847324839 rounded to 3 dps?
-0.008
What is 0.00005521106779 rounded to seven dps?
0.0000552
Round -0.0000158239533 to seven decimal places.
-0.0000158
What is -12.8356659 rounded to three decimal places?
-12.836
Round 101.1897307 to the nearest 10.
100
What is 29964.2972 rounded to the nearest 100?
30000
Round -0.000039133406 to six dps.
-0.000039
Round 0.33407183 to 3 dps.
0.334
Round -30.8050672 to one decimal place.
-30.8
What is -0.079255 rounded to 5 decimal places?
-0.07926
What is -79.1930188 rounded to the nearest ten?
-80
What is -801730.3502 rounded to the nearest one thousand?
-802000
Round 0.204491541 to 3 decimal places.
0.204
What is 27726322.97 rounded to the nearest 1000000?
28000000
What is 0.006442676148 rounded to 4 dps?
0.0064
What is -0.000033506 rounded to seven dps?
-0.0000335
Round 796427.285 to the nearest one hundred thousand.
800000
What is 6862298.4 rounded to the nearest 10000?
6860000
What is 0.0001871596549 rounded to seven dps?
0.0001872
What is 5982.8055 rounded to the nearest ten?
5980
Round -333637260 to the nearest 1000000.
-334000000
Round -0.00726010973 to four dps.
-0.0073
What is 890.033858 rounded to the nearest integer?
890
What is 114148698 rounded to the nearest one million?
114000000
Round -0.149074742 to 4 dps.
-0.1491
Round 0.00000182104576 to seven decimal places.
0.0000018
What is 1.20038905 rounded to 3 dps?
1.2
What is 45.04329 rounded to the nearest ten?
50
Round 0.1140776217 to two decimal places.
0.11
R
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 = 4*n + f*h, -r*h = -n + 2 for n.
2
Let n be 3 + -2 + 1/(-1). Let z = n - -6. Let u be 2 + 0/(-1) - 0. Solve z*t = t + 5*o - 5, -o + 7 = u*t for t.
2
Let p(h) = 2*h - 2. Let x be p(9). Let c = 19 - x. Solve 5*r + 15 = -5*o, -2*o + 1 = 3*o - c*r for o.
-1
Let z(a) = 3*a. Let o be z(1). Let n = -2 + o. Let w be -2 + 1/(n/5). Solve -2*x - 2*l = -l - 7, w*x - 7 = 2*l for x.
3
Let g be (-3)/(-1) - 0/(-1). Suppose -4*i - 5 = -g*a + 2, 0 = -a - i + 7. Solve y = a*x - 22, -2*x = -x - 3*y - 10 for x.
4
Let d(q) = -q + 13. Let f be d(9). Let t be (3/6)/(f/16). Solve 0*u = 2*m - t*u + 10, -2*m - 10 = u for m.
-5
Suppose 6*q - 50 = -4*q. Solve p + 2*p - 2*d - 15 = 0, q*p - 21 = 2*d for p.
3
Let q(b) = b**2 + 12*b + 12. Let i be q(-12). Let o = 12 - i. Solve -5*p + 5*y = 35, -5*p + o*y = -4*y + 33 for p.
-5
Suppose -24 = -2*i + 4*s, -2*i = 2*i - s - 27. Let a(t) = t**2 - 6*t + 3. Let l be a(i). Solve 5*r - 5 = 3*p + l*r, 22 = -4*p - 5*r for p.
-3
Suppose -4*l + 3 = -4*k + 23, -1 = -k - 3*l. Solve -4*n = -k, 3 = z - n + 1 for z.
3
Let d be 2/(5 - (-4 - -8)). Solve -5*a + 0 = 2*w - d, -3*a = w - 1 for w.
1
Let l be 9 + 6 + 2*-1. Let x = l + -9. Solve -2*s - 23 = -3*t - x, -5*s - 5*t = -15 for s.
-2
Let g(s) = -s - 7. Let j be g(-9). Let l(a) = 2*a**2 + 3*a + 5*a - 3*a**j - 2 - 2*a. Let q be l(5). Solve -15 - 1 = 2*i + q*u, -5 = -i + 5*u for i.
-5
Let a(o) = -9*o - 2. Let n(t) = -3*t - 1. Let f(p) = 3*a(p) - 8*n(p). Let d be f(-1). Solve 2*c = -5*s + 5, 0*c = 5*s - d*c + 30 for s.
-1
Let x(r) be the third derivative of r**5/60 + 5*r**4/12 - r**3 + 2*r**2. Let f be x(-11). Solve f*l + 1 = -3*u, -u = 3*l - 4*l + 3 for l.
1
Let q = 32 - 29. Solve -5*n = q*k - 25, 0*n + 2*n - 5*k - 10 = 0 for n.
5
Suppose 0 = 5*b + 15, 1 = 4*q + 2*b + 3. Solve -5*i - 3*l = 37, -5*l + q = -i - 4*l for i.
-5
Let y = -15 - -11. Let n(u) = u**3 + 3*u**2 - 4*u. Let x be n(y). Solve 5*m + 0*m + 3*h = -8, 4*m + h + 5 = x for m.
-1
Let o(s) = -2*s**2 + 12*s. Let d be o(6). Solve -3*u + 2*j = -2*j + 23, d = u + 4*j - 3 for u.
-5
Suppose n + 0*n - 50 = 0. Suppose 34 = w + c + 3*c, -c = -3*w + n. Let a(k) = -3*k + 15. Let y be a(5). Solve p = 4*j - p - w, y = 3*j + 3*p for j.
3
Suppose 5*y - 8 = 7. Let c be (-3)/5 + 13/5. Suppose -3*b = -c*b - 4. Solve -3*i = -b*v + 4, v - 6*v + y*i + 2 = 0 for v.
-2
Let o be ((-8)/10)/(6/(-15)). Suppose -p + 2*x = o*p + 2, -2*p - 4*x + 4 = 0. Solve -a - 4*g + 3 = p, 5*a + 3*g = g + 15 for a.
3
Let s(o) = o**2 - 4*o - 3. Let y = -12 + 17. Let b be s(y). Solve -6 = -3*q, -q = b*u + 2*u - 10 for u.
2
Suppose -3*c - 22 = 2*o - 98, -5*c = -5*o - 85. Solve -4*u + c = 2*r, r = -u + 4*u - 4 for r.
5
Suppose 0 = 5*q - 10, 3*i + 5*q = 19. Solve 3*b + 6*u = 2*u - 12, i*u = 0 for b.
-4
Suppose -8*j + 4*j = 0. Solve j = -3*c + 15, -5*i - 2*c + 0*c = 15 for i.
-5
Let b(v) = 2*v - 10. Let w be b(8). Suppose 2*y = -y + w. Solve 3*j + y*n - 15 = 0, -n + 9 = 2*j - 0*n for j.
3
Let p(u) = -u + 4. Let v be p(3). Let s be (1/3)/(v/6). Solve -s = -q - j - 0*j, q - 4 = -3*j for q.
1
Let l(n) = -n**2 + 4*n + 1. Let r be ((-6)/(-5))/((-4)/(-10)). Let p be l(r). Solve -2*b - v = 4, 4*b = 2*v + 2*v + p for b.
-1
Let v = 0 + 9. Solve l - 6*l = 2*k - v, 2*l = -3*k - 3 for k.
-3
Suppose 4*u = 36 + 8. Solve -6*x - u = -4*x + c, -9 = 3*c for x.
-4
Suppose -5*j = -3*j - 5*a - 9, 5*a = -5*j + 40. Solve -t - j = 2*f, 3*t + 4 + 11 = 0 for f.
-1
Let c(s) be the first derivative of 2/3*s**3 - 3/2*s**2 + 1 - 4*s. Let h be c(3). Solve 31 = -2*n - 2*n - 5*d, 0 = h*d + 15 for n.
-4
Suppose -2*q + 5 = 3*t, 0 = -6*t + 5*t - q + 2. Solve -4*a = -5*f, -a + 4*f = 3*f - t for a.
5
Suppose 5*p = 4*w + 1, 3*p = -2*w + 7*p + 4. Let f = w + 6. Solve d + f*d = -v - 2, 6 = 2*v - 4*d for v.
1
Let j(g) = -2*g + 15. Let a be j(7). Let n = a + 2. Solve 3*m = 3*p - 2*m + n, -5*m - 2 = 2*p for p.
-1
Let w(x) = -x**2 - 7*x + 8. Let h be w(-8). Solve 4*c - 9 = -h*g + g, -4*g - 5*c = 15 for g.
-5
Suppose 0 = -6*o + 2*o. Suppose o = 3*a + 2*a. Let n = a - -2. Solve 3*f + 4 = -2*i - n, 2*i + 6 = -5*f for i.
-3
Let q(j) = j**3 + 3*j**2 - 5*j + 1. Let x be q(-4). Solve 0 = -2*b - 4*g + 2, -5*b = -0*b + 4*g - x for b.
1
Suppose c + 4*c - 25 = 0. Let z(y) = y. Let b be z(c). Suppose -2*i = -4, 0 = 5*s - 7*s - b*i + 44. Solve 0 = 2*o - 6*a + a, 5*o - s = 4*a for o.
5
Suppose g + 4*w + 20 = 5*g, g - 3*w + 5 = 0. Let i be (4/7)/(g/35). Solve c = l + 2, 4*l - i = -3*c + 4 for l.
0
Let m be 1 + -2 + (-15 - 2). Let d be -1 - 0 - m/3. Solve -4*i + d*q - 21 = 0, 2*i + q = 3*q - 8 for i.
1
Let j be (3/(-6))/((-2)/(-32)). Let o = 0 - j. Solve -3*z = 4*i + i + o, 0 = -z + i for z.
-1
Let v(i) = -i**2 + 7*i + 2. Let t be v(7). Let y be ((-8)/(-12))/(t/9). Solve g = 2*r + 1, 2*r = -0*r - y*g + 19 for r.
2
Suppose 4*q + x - 7 - 16 = 0, -3*q - 4*x + 27 = 0. Solve 2*v - 5*r = -3, -q*r + 11 + 0 = -4*v for v.
-4
Suppose -4*d = -p + 26 - 10, -3*p + 3*d = -21. Let j(f) = 0 - 2 + p - f**2. Let c be j(0). Solve -4*h + 3*n - 24 = h, 0 = c*h + n + 3 for h.
-3
Suppose 9 = a + 2*a. Solve j - 2 = -v - a, 3*j + 2*v = -6 for j.
-4
Let h be 2/15 - 365/(-75). Let d be (-182)/65*h/(-2). Solve b - d = 2*k, 0 = -k - 3*k - 5*b - 7 for k.
-3
Let j = 4 - 1. Solve b + j*b = -h - 6, -h + 4 = -b for h.
2
Suppose -4*p + 51 - 11 = 0. Suppose 5*y + 34 = 4*m, -m = -y + 3*m - p. Let z be -10*3/y + -2. Solve z = l - 5*k - 24, 5*l = -2*k for l.
2
Suppose -4*f + 38 + 10 = 4*n, -4*n = 2*f - 34. Suppose i + 4 - f = 0. Solve -3*a + a - 4 = i*w, -4*w + 5*a + 10 = 0 for w.
0
Let c = -4 - -7. Let x = c + -1. Let m = 6 - 4. Solve -3*l - x*k = 17, -l + k = m*l + 14 for l.
-5
Let h(z) = z + 3. Let w be h(2). Let d = w + 0. Solve -2*r + r - 2*p = -d, -r + 3*p - 10 = 0 for r.
-1
Let j = 13 - 15. Let c(n) = -n**3 + n. Let q be c(j). Solve t = 2*o - 4*o - 6, -5*t - o = -q for t.
2
Let i = 9 + -6. Solve -a = -o, -i*a = o - 0*o for a.
0
Let a = -1 + 6. Suppose -a = -m + 3. Solve -4*d - m - 4 = 0, 3*d - 7 = -4*r for r.
4
Let s(a) = 18*a**2 - a. Let t be s(-2). Suppose -t - 56 = -5*z. Solve p + 2*p = 9, 5*n - z = -2*p for n.
4
Let u(z) = -z - 5. Let w be u(-8). Solve -5*a = 20, -5*f - 28 = 5*a - w for f.
-1
Suppose 18 = 5*a - 2. Suppose -v - 5*i = -11, -5*v + i - a*i + 11 = 0. Suppose v = 5*x - 14. Solve -5 = r, 5*k - 4*r = -2 - x for k.
-5
Let k(f) = 6*f + 9. Let q(n) = -2 - 3*n - 2*n - 7 + 0. Let i(c) = 3*k(c) + 4*q(c). Let d be i(-6). Solve 4*p + d*a - 13 = 0, 5*a - 13 = -p + 3 for p.
1
Suppose 0 = 2*r - 2*l - 6, -r - 5*l - 3 = 12. Solve -12 = 2*h + 2*j, 0 = -4*h - j - r*j - 9 for h.
-1
Let w be 6*(-1 + -1 - -3). Let q be w/10*(0 - -5). Solve r = -5, q*t + 15 = 2*t - 4*r for t.
5
Let w(a) = -3*a - 1. Suppose -4*m + 2*m - 4 = 0. Let i be w(m). Let r = i - 1. Solve 3*q - 3*j = 24, -3*j + 2 = -q - r*j for q.
3
Let o(h) = h**2 - 2*h. Let j be o(3). Suppose -3*q = j - 12. Solve -4*v - 18 = 2*a, 5*v + 12 = -2*a + q*a for a.
-3
Suppose -4*z - 2*q + 6 + 72 = 0, -z - q + 17 = 0. Let p be (1 - 0)*0/14. Solve -z = 4*k + 2*t, k + p*k + 16 = -4*t for k.
-4
Suppose 4*y - 4*s = 5*y - 9, -s + 1 = 0. Solve y*v + 35 = 2*b, -b - 8 = 2*v - 3 for b.
5
Let i be 1*-11*(15 + -16). Suppose -6*a = -i*a. Solve a*v + 11 = 2*w + 5*v, -w + 13 = 5*v for w.
-2
Let t = 1 - 1. Let c(n) = n**2 + 2*n - 3. Let k be c(-3). Let y = 0 + k. Solve t = g + 2*w - w - 3, y = -4*w - 4 for g.
4
Let w = -162 - -164. Solve 0 = w*g + 2*b + 2*b + 4, 2*b = 3*g + 6 for g.
-2
Let s(i) = -2*i - 10. Let k be s(-7). Let y(c) = -1 - c**3 + 2*c + 2*c + k*c**2 - 6*c. Let x be y(2). Solve 4*l + x*u + 15 = 0, -2*l - 10 = -l + 2*u for l.
0
Let p be (1 + -2)/(2/(-8)). Let x(l) = l**2 + 10. Let s be x(0). Suppose 0 = -3*q + 3*n + 18, 0 = -n - 1 - 1. Solve -m - 5*u - s = -6*m, q*u - p = 0 for m.
3
Let a = -55 - -58. Solve 0 = -a*i + q + 9, -3*i + 2*q + 9 = 5*q for i.
3
Suppose -y - 2 + 6 = 0. Suppose -2*d + 35 = 5*f, -f - y*f = -d - 35. Let o = f - 5. Solve -o = -2*a + a + w, -5*w + 8 = 4*a for a.
2
Let z(a) = a + 2. Let h be z(-2). Suppose h*t = 5*t + 20. Let g = t - -8. Solve i - 4 = -2*j, g*i + 2*j - 5*j + 17 = 0 for i.
-2
Suppose 5*c - 125 = -0*l - 2*l, 0 = -4*l. Let v = c + -17. Suppose 0 = o - 2*o + v. Solve -3*z - z - 2*w + 22 = 0, -o = z - 4*w for z.
4
Let l = 21 + -17. Solve -5*j + l + 1 = g, 0 = 2*g - 5*j + 20 for g.
-5
Let l(v) =
|
{
"pile_set_name": "DM Mathematics"
}
|
ect to g.
-4
Let p(o) be the third derivative of -99*o**8/112 - 757*o**4/8 - 9*o**2 + 29*o. What is the second derivative of p(x) wrt x?
-5940*x**3
Find the second derivative of 523*m**2 - 21*m - 6*m + 2527 - 2527 - 170*m**2 wrt m.
706
Let c(j) be the third derivative of -251*j**5/15 - 491*j**3/3 - 31*j**2 - 7*j. Find the first derivative of c(b) wrt b.
-2008*b
Let c(g) = -1969*g + 2205. Let q(a) = 1313*a - 1470. Let u(i) = -5*c(i) - 8*q(i). What is the derivative of u(f) wrt f?
-659
Let t(u) be the second derivative of 41*u**5/5 + 5*u**4/4 + 864*u**3 - 8591*u. Find the second derivative of t(z) wrt z.
984*z + 30
Let n(i) be the first derivative of -1/2*i**4 + 4/3*i**3 + 0*i - 61 - 37/2*i**2. What is the second derivative of n(b) wrt b?
-12*b + 8
Let u(d) be the third derivative of -1/12*d**6 + 0 - 40*d**2 - 1/24*d**4 - 5/2*d**3 + 0*d + 0*d**5. Differentiate u(j) wrt j.
-30*j**2 - 1
Let j(o) = -11*o**3 + 4*o**2 + 21061*o - 10779. Let r(b) = 8*b**3 - 3*b**2 - 14041*b + 7187. Let x(u) = 5*j(u) + 7*r(u). Differentiate x(c) with respect to c.
3*c**2 - 2*c + 7018
Let m be -1 + 9 + 310/(-62). Find the second derivative of -m*z**4 + 5*z**5 - 290*z + 216*z - 10*z**4 wrt z.
100*z**3 - 156*z**2
Let p be 4 + -4 + 1/(-2)*-14. Find the third derivative of 31*z**2 + 11*z - 4*z - p*z - 46*z**4 wrt z.
-1104*z
Let v(c) be the third derivative of 57*c**6/5 - 169*c**5/15 - 1076*c**2. What is the third derivative of v(x) wrt x?
8208
Let y(k) be the third derivative of 89*k**7/70 + k**6/40 - 7*k**5/60 + 10*k**3/3 + 9*k**2 + 81. What is the third derivative of y(c) wrt c?
6408*c + 18
Let z = 48 + 14. Let l be z/4 - 3*4/(-24). Differentiate -3 - 11 - l + 6 + 4*x**2 with respect to x.
8*x
Let k(a) = 280*a**3 + 9*a**2 - 3*a - 1178. Let d(c) = -279*c**3 - 12*c**2 + 4*c + 1176. Let p(n) = -3*d(n) - 4*k(n). Differentiate p(z) with respect to z.
-849*z**2
Let y(r) be the third derivative of 0 + 169/6*r**3 + r**2 - 7/60*r**6 + 1/60*r**5 + 0*r**4 - 5*r. Differentiate y(h) wrt h.
-42*h**2 + 2*h
Let z(m) = -m**3 + 8*m**2 + 2*m - 11. Let l be z(7). What is the derivative of l - 29*k + 51*k + 73*k + 8 wrt k?
95
Let o(z) = -75*z**2 + 11*z + 3. Let j(t) = 3*t**2 - 611 - 5*t**2 + t + 612. Let a(l) = -3*j(l) + o(l). What is the second derivative of a(s) wrt s?
-138
Let m(i) be the first derivative of -4737*i**4/4 + 1529*i**2 + 4849. What is the second derivative of m(t) wrt t?
-28422*t
Let c(u) be the first derivative of -949*u**4/4 + 2179*u**3/3 + 426. Find the third derivative of c(i) wrt i.
-5694
Let j(l) = -6*l**3 + 73*l**2 + 7*l - 18. Let k(h) = 24*h**3 - 293*h**2 - 28*h + 74. Let t(o) = 9*j(o) + 2*k(o). Find the second derivative of t(b) wrt b.
-36*b + 142
Let u(b) = 4802*b - 9120. Let l(m) = 2407*m - 4561. Let o(p) = -9*l(p) + 4*u(p). Differentiate o(k) with respect to k.
-2455
Let u(r) = 5*r + 11. Let y be u(5). Suppose -5*d + d + y = 0. Differentiate -d*q**2 + 22 - 17 + q**2 wrt q.
-16*q
Let a be (-3)/22*-28 + (-12)/(-66). What is the first derivative of -81*o + 2*o**a + 5*o**4 + 77*o - 5 wrt o?
28*o**3 - 4
Find the second derivative of -1080*i**2 - 1322*i**2 + 2 - 237*i**2 + 162*i wrt i.
-5278
Suppose 3*c - 15 + 3 = 0. Let o(n) = 2*n**3 - 14*n**2 + 11*n + 6. Let m be o(6). What is the derivative of m + 14*k + 3*k + c wrt k?
17
What is the second derivative of -81*y**2 - 118*y**2 + 1436*y - 95*y**2 - 260*y + 67*y**2 wrt y?
-454
Let q = 74 + -69. Find the first derivative of -7 + 6*d - 25 - 32 + q*d wrt d.
11
Let g(x) = -x**5 + 475*x**4 + 5*x**3 - 35*x - 7. Let j(z) = z**5 - z**3 - z**2 + 2*z - 1. Let k(n) = -g(n) - 5*j(n). Find the third derivative of k(s) wrt s.
-240*s**2 - 11400*s
What is the third derivative of -987 - 87*p**5 + 497 + 487 - 72*p**2 wrt p?
-5220*p**2
Find the third derivative of -431*x**4 + 524*x**4 - 2850*x**3 + 2840*x**3 - 394*x**2 wrt x.
2232*x - 60
What is the third derivative of 61 + 557 - 17 + 341 + 3*x - 765*x**3 + x**2 - x wrt x?
-4590
Let p(x) = 27*x + 1. Let j(w) = -392*w - 947. Let m(o) = -5*j(o) - 10*p(o). Differentiate m(a) wrt a.
1690
Let j(q) be the first derivative of -91*q**3 - 785*q + 1404. Differentiate j(u) wrt u.
-546*u
Let l be -42*(4 + (-10)/3). Let d = l - -36. Find the first derivative of 2*k + 3*k + k - 4 + d*k wrt k.
14
Let s = -190 - -234. What is the second derivative of 29*t**4 + 9*t - s + 7*t + 42 wrt t?
348*t**2
Let m(d) = 1001*d**2 - 47*d + 5860. Let w(o) = -3*o**2 - 4*o - 1. Let p(a) = -m(a) + 11*w(a). Differentiate p(j) wrt j.
-2068*j + 3
Find the second derivative of 48 - 230*b - 23 - 1911*b - 1006*b**4 - 25 wrt b.
-12072*b**2
Let d(f) = f**3 - f**2 + f - 2. Let y(p) = -207*p**3 - 1248*p**2 + 15*p - 30. Let s(j) = -15*d(j) + y(j). Find the third derivative of s(w) wrt w.
-1332
What is the first derivative of -21*v - v - 68*v - 31*v - 20*v + 1306 wrt v?
-141
Suppose 0 = -43*u + 45*u - 2. Find the second derivative of -45*m**4 + 8*m + 12*m - u - 51*m + 13*m wrt m.
-540*m**2
Let y(m) = -3353*m**3 - 8*m**2 - 8*m + 6257. Let b(g) = -1118*g**3 - 3*g**2 - 3*g + 2088. Let n(w) = -8*b(w) + 3*y(w). Find the first derivative of n(i) wrt i.
-3345*i**2
Let u(v) be the first derivative of -359*v**3/3 - v**2/2 - 978*v - 14. Differentiate u(a) wrt a.
-718*a - 1
Let x(q) be the second derivative of -17/6*q**4 + 0*q**2 + 16*q - 145/6*q**3 - 1. What is the second derivative of x(y) wrt y?
-68
Let v(t) be the third derivative of -97/60*t**5 + 0 - 17/120*t**6 + 0*t + 0*t**3 + 31*t**2 + 0*t**4. Find the third derivative of v(b) wrt b.
-102
Suppose -4*l = c - 5*l, -12 = -4*l. Suppose -g + 4*d = -0*g - 1, 4*d = -5*g + 101. What is the third derivative of -14*y + 27*y - 13*y - c*y**3 - g*y**2 wrt y?
-18
Let x be (-4)/(-6) + 36/27. Let o be (14/4 + -1)*x. Find the third derivative of 4*v**5 + 3*v**o + 6*v**5 - 8*v**2 wrt v.
780*v**2
Let x(k) = 12*k**4 + 2*k**2 + k - 1095. Let r(v) = v**2 - v - 5. Let m(l) = -r(l) - x(l). Differentiate m(p) with respect to p.
-48*p**3 - 6*p
Find the third derivative of -21 - 1027*r**2 + 122*r**2 - 1409*r**3 + 21 - 1053*r**2 wrt r.
-8454
Find the first derivative of -8*i**2 - 2840*i + 3003*i + 94 - 2*i**2 + i**2 + i**2 wrt i.
-16*i + 163
Let g(v) be the second derivative of 3*v**6/20 + 7*v**4/2 - 65*v**3/6 - v - 16. Let y(z) be the second derivative of g(z). Differentiate y(h) wrt h.
108*h
Suppose 5*i - 5 = 0, -3*q + 16 = -2*i - 12. Let o = 15 - 9. Differentiate 6 + q + 39*m**2 - o with respect to m.
78*m
Let h = -136 + 140. What is the third derivative of -11*i + 2*i**6 - 60*i**2 + 8*i**h - 11*i**4 + 10*i - 9*i**6 wrt i?
-840*i**3 - 72*i
Suppose -4*d - 16 = 0, 5*y + 2*d - 802 = 5*d. What is the first derivative of y*u + 90 - 80*u - 30 wrt u?
78
Let r(q) be the third derivative of 0*q**6 + 0*q**5 + 17/30*q**7 + 0*q + q**3 + 0*q**4 + 0 + 134*q**2. What is the derivative of r(m) wrt m?
476*m**3
Find the third derivative of -67*t + 534*t**2 + 153*t + 160*t**3 - 86*t wrt t.
960
Suppose q = -4*u + 44, -q + 2*u = 1 - 63. What is the first derivative of -11*p**2 + 6*p**2 + 11*p**2 + q + 23*p**2 wrt p?
58*p
Let n(l) be the second derivative of -491*l**7/42 - l**6/30 - l**4/6 + 899*l**3/6 + 2139*l. What is the third derivative of n(d) wrt d?
-29460*d**2 - 24*d
Find the second derivative of -186*b**3 - 1005*b**3 - 867*b**3 - 66*b - 1424*b**3 + 3487*b wrt b.
-20892*b
Let m be (2 - 1)/(-10 + 11)*0. Let g(u) be the second derivative of 18*u - 9/2*u**2 + 3/10*u**5 + 0*u**4 + m + 0*u**3. Find the first derivative of g(b) wrt b.
18*b**2
Let v be -2 + 0 - 10/(4/(-2)). Suppose v*h + 2 = 11. Find the first derivative of -7*b**4 - 14 - 7*b**4 - h*b**4 wrt b.
-68*b**3
Let b(u) be the first derivative of -1991*u**6 + 8507*u**2/2 + 9288. Find the second derivative of b(m) wrt m.
-238920*m**3
Let x = -6374 + 6374. Let t(i) be the first derivative of x*i**2 + 23 + 0*i - 4*i**3 + 5/2*i**4. What is the third derivative of t(s) wrt s?
60
Let s(p) = p**3 + p**2 + 22*p + 1. Let r(t) = 1255*t**3 + 7*t**2 + 116*t + 20. Let l(k) = -r(k) + 7*s(k). Find the second derivative of l(q) wrt q.
-7488*q
Let f be 24 + (-5 + 1 - 0). Let t = 0 + f. Differentiate 1 - t*h**2 + 36*h**2 + 2 wrt h.
32*h
Let c(f) be the third derivative of 9*f**8/28 - f**7/70 + 13*f**5/20 - 3*f**3/2 + 2*f**2 - 80. Find the third derivative of c(x) wrt x.
6480*x**2 - 72*x
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(12)) + sqrt(12) + sqrt(12)).
16*sqrt(13)/3
Simplify -4*sqrt(133)/(sqrt(42)/sqrt(6)).
-4*sqrt(19)
Simplify (sqrt(4500)*3 - sqrt(4500) - sqrt(4500))/(sqrt(54)/sqrt(6)*-6).
-5*sqrt(5)/3
Simplify -2*(sqrt(700)/sqrt(4) + -1).
-10*sqrt(7) + 2
Simplify 5*(sqrt(11) - sqrt(176)) + -1 + sqrt(11) + sqrt(22)/sqrt(2).
-13*sqrt(11) - 1
Simplify 2 + 3*(sqrt(425) + -5).
-13 + 15*sqrt(17)
Simplify -2*(sqrt(475))**2 + 4.
-946
Simplify (sqrt(8064) + (sqrt(8064) - sqrt(8064)*1))/sqrt(8) + 4 + (-1*sqrt(567))**2.
12*sqrt(7) + 571
Simplify (sqrt(2448) + 0)*-3.
-36*sqrt(17)
Simplify 1 + (3 + sqrt(272))**2.
24*sqrt(17) + 282
Simplify 2*(sqrt(1900) - ((-3 + sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900)))**2.
120*sqrt(19) + 3818
Simplify sqrt(180) + -4*sqrt(180)*6.
-138*sqrt(5)
Simplify 2 + ((-1 + sqrt(931))*6)**2.
-504*sqrt(19) + 33554
Simplify (1*-6*2*sqrt(468))**2.
67392
Simplify sqrt(3) - (sqrt(3) - sqrt(54)/sqrt(2)) - (-1 + 2*sqrt(3) + sqrt(3))**2.
-28 + 9*sqrt(3)
Simplify sqrt(1539) + (sqrt(1539) + (sqrt(1539) + (sqrt(1539) + (sqrt(1539) - 1*sqrt(1539)))*-6)**2 - sqrt(1539)).
9*sqrt(19) + 38475
Simplify -1*(4*sqrt(1100) + -4).
-40*sqrt(11) + 4
Simplify (sqrt(99)/sqrt(3))/sqrt(11) + 4.
sqrt(3) + 4
Simplify 2*sqrt(1331) + 2.
2 + 22*sqrt(11)
Simplify ((-6*(-1 + sqrt(252)) - sqrt(252)) + -2 + sqrt(252) + 1)**2 + 0.
-360*sqrt(7) + 9097
Simplify 3*(2 + sqrt(2592) + sqrt(32))**2.
480*sqrt(2) + 9612
Simplify sqrt(12)/(sqrt(150)*-1 - sqrt(150)).
-sqrt(2)/10
Simplify sqrt(28)/((sqrt(132)/sqrt(3))/sqrt(11)).
sqrt(7)
Simplify (2 + sqrt(10)/(-3*sqrt(200)))**2.
-2*sqrt(5)/15 + 721/180
Simplify sqrt(3) + -1*(1 + sqrt(3)) + sqrt(3) + 1.
sqrt(3)
Simplify 1*sqrt(8)/sqrt(4) + -5 + (sqrt(2) + (sqrt(18)/sqrt(9) - sqrt(2)))**2.
-3 + sqrt(2)
Simplify (-2*(sqrt(2736) + 0) - sqrt(2736))**2*6.
147744
Simplify ((sqrt(42) + 2*sqrt(210)/sqrt(5))/sqrt(216))**2.
7/4
Simplify sqrt(10)/(sqrt(128)*-2 - sqrt(2) - sqrt(2)) - ((-2*sqrt(2205) + sqrt(2205))/sqrt(9))**2.
-245 - sqrt(5)/18
Simplify -1*(sqrt(475)*-1 - sqrt(475))**2*5.
-9500
Simplify (-4 + sqrt(475)*-1)**2.
40*sqrt(19) + 491
Simplify sqrt(24)/((-1*sqrt(72) - sqrt(72))/sqrt(6)).
-sqrt(2)/2
Simplify 0 + 6*(1 + (sqrt(13) - (2 + sqrt(39)/sqrt(3)))**2).
30
Simplify (5*sqrt(3)*-2*-4)**2.
4800
Simplify (((1 + sqrt(2448))*-1 + (sqrt(2448) - (4 + sqrt(2448) + 0 + sqrt(2448))))*4)**2.
3840*sqrt(17) + 157072
Simplify (sqrt(5) - (sqrt(5) - (sqrt(60) - 2*sqrt(60))/sqrt(12))) + 1 + sqrt(15)/sqrt(3) + -1.
0
Simplify (sqrt(126) - 1*sqrt(126))/sqrt(7).
0
Simplify -6*6*((sqrt(5) + 1)**2 + sqrt(5)).
-108*sqrt(5) - 216
Simplify (sqrt(208) - (sqrt(208) + 6*sqrt(208)*1))**2*6.
44928
Simplify 4*(sqrt(1088)*-2)**2 + -4*3*sqrt(1088) + sqrt(1088).
-88*sqrt(17) + 17408
Simplify 3*(-3 + -5 + sqrt(76) + 0)**2.
-96*sqrt(19) + 420
Simplify (-1 + (sqrt(13) - sqrt(52)) + 2*sqrt(13) + 2)**2.
2*sqrt(13) + 14
Simplify (4*2*sqrt(40))/(sqrt(80)/(sqrt(40)/sqrt(4))).
8*sqrt(5)
Simplify 4*(sqrt(1539) + 0).
36*sqrt(19)
Simplify 5 + (sqrt(48) + 0 - sqrt(3)).
5 + 3*sqrt(3)
Simplify sqrt(44) + 5 + -1*sqrt(44).
5
Simplify (-4*(sqrt(228) + (sqrt(228) - (sqrt(228) - -3*sqrt(228)))) - sqrt(228))/(sqrt(48)/(sqrt(4)*2)).
14*sqrt(19)
Simplify (-1*-1*sqrt(1573))**2.
1573
Simplify (sqrt(19) - (sqrt(76) + 0)**2)*-2 - ((sqrt(171))**2*-6 + (sqrt(304) - sqrt(304)*-2)**2).
-1558 - 2*sqrt(19)
Simplify 1*(sqrt(208) + -1 + 4 + -2).
1 + 4*sqrt(13)
Simplify sqrt(104)/(-4*sqrt(8)*-1) - (-4*sqrt(208) + 4*(sqrt(13)*2 - sqrt(13))).
49*sqrt(13)/4
Simplify sqrt(48) + 3 + 0 + sqrt(3) + 1.
4 + 5*sqrt(3)
Simplify (2*-2*sqrt(51))/(sqrt(3) - (sqrt(3) + sqrt(24)/sqrt(2))).
2*sqrt(17)
Simplify (sqrt(11) + sqrt(11)*1 + -2 - (0 + sqrt(275)))**2*-1.
-103 - 12*sqrt(11)
Simplify (1 + sqrt(10)/sqrt(2) - (sqrt(405) + -1 + sqrt(405) + sqrt(405) + sqrt(405)))*3.
-105*sqrt(5) + 6
Simplify -6*(sqrt(28) + 0)**2.
-168
Simplify (sqrt(2160) + sqrt(2160)*1)/(6*(sqrt(48)/sqrt(4) + sqrt(12))).
sqrt(5)
Simplify (-1*(0 + sqrt(147)) + sqrt(147) + sqrt(147) + -1 + sqrt(147)*2)**2.
-42*sqrt(3) + 1324
Simplify -5*(0 + sqrt(180))**2 + sqrt(180) + 3.
-897 + 6*sqrt(5)
Simplify sqrt(60)/(-5*sqrt(60)/sqrt(5))*2.
-2*sqrt(5)/5
Simplify (5*(3*sqrt(170) + sqrt(170)))/(1*sqrt(10)*3).
20*sqrt(17)/3
Simplify (-3*sqrt(3402))/sqrt(6).
-27*sqrt(7)
Simplify -4*(sqrt(102)*2 - sqrt(102))/sqrt(6).
-4*sqrt(17)
Simplify sqrt(24)/(sqrt(36)/sqrt(3)*-2).
-sqrt(2)/2
Simplify 0 + (sqrt(320) - (sqrt(320)*2 + sqrt(320) - sqrt(320))**2) - sqrt(320) - -2*(1*sqrt(320))**2.
-640
Simplify (-2 + (-1*1*sqrt(84) + sqrt(84))/sqrt(12))**2.
4
Simplify (sqrt(270)*-1)/(-3*sqrt(10)*2).
sqrt(3)/2
Simplify sqrt(13) + sqrt(52)/sqrt(4) + -5 + sqrt(13) + ((5*sqrt(117))**2 - sqrt(13)) + ((-1 + sqrt(208))*-4)**2.
-126*sqrt(13) + 6264
Simplify 3*(-2*sqrt(119))/sqrt(7) + 2.
-6*sqrt(17) + 2
Simplify -6*1*sqrt(1584) - 1*(sqrt(132) + sqrt(132)*1)/sqrt(12).
-74*sqrt(11)
Simplify sqrt(396)*-2 + (sqrt(11) - (sqrt(704) - (sqrt(704) + sqrt(704) + sqrt(704) + sqrt(704) + -1 + sqrt(704)))**2).
-11265 + 53*sqrt(11)
Simplify (sqrt(84)/((2*sqrt(36) - sqrt(36))/sqrt(3)) + -3)**2*2.
-12*sqrt(7) + 32
Simplify (5*sqrt(56)/sqrt(2))/((sqrt(44) + sqrt(44)*2)/sqrt(11)).
5*sqrt(7)/3
Simplify (0 + sqrt(38)/sqrt(2))**2 + (sqrt(171))**2*4.
703
Simplify sqrt(12)/((sqrt(400)*1 - sqrt(4)) + sqrt(4))*2.
sqrt(3)/5
Simplify (2*(sqrt(104) + (sqrt(104) + sqrt(104) + -2*sqrt(104) + sqrt(104) + sqrt(104) - sqrt(104))) - sqrt(104))/(sqrt(8) - (sqrt(96) + sqrt(24))/sqrt(3)).
-3*sqrt(13)/2
Simplify ((-5 + sqrt(432)*2)*-4 + -2)**2.
-3456*sqrt(3) + 27972
Simplify (sqrt(7)*-1 + 5 - ((sqrt(77)*2)/sqrt(11) + sqrt(7) + sqrt(7) - sqrt(7)))**2 - (sqrt(224)/sqrt(8) + ((2*sqrt(70) - sqrt(70))/sqrt(10) - sqrt(7))).
-42*sqrt(7) + 137
Simplify -2*sqrt(33)/sqrt(3) - (sqrt(22) + (sqrt(22) - sqrt(88)/sqrt(4)))/sqrt(2).
-3*sqrt(11)
Simplify -5*(sqrt(76))**2*-1.
380
Simplify ((sqrt(84)/(sqrt(16)/sqrt(4)))/(sqrt(12)*-6))**2.
7/144
Simplify -2*(-1 + sqrt(7) + sqrt(7) + 1).
-4*sqrt(7)
Simplify 0 + (sqrt(1377) + (sqrt(1377)*2)**2 + 3)*5.
45*sqrt(17) + 27555
Simplify (4*sqrt(136)*-1)/(1*sqrt(8)*-3).
4*sqrt(17)/3
Simplify (0 + (sqrt(39)/sqrt(3))**2)*2*1*6.
156
Simplify (sqrt(76) - sqrt(76)*1)*4.
0
Simplify (4 + (sqrt(55)*6)/sqrt(5))*5.
20 + 30*sqrt(11)
Simplify (sqrt(18) - -2*sqrt(36)/sqrt(2))/((sqrt(9) - 4*sqrt(9)*-2) + sqrt(9)).
3*sqrt(2)/10
Simplify (-2*sqrt(76))/sqrt(4) + sqrt(19) + 2.
-sqrt(19) + 2
Simplify sqrt(33)/sqrt(3)*-1*1.
-sqrt(11)
Simplify (5*4*(1 + sqrt(1300)))**2.
8000*sqrt(13) + 520400
Simplify (sqrt(88)/(sqrt(24)/sqrt(3) - sqrt(8) - sqrt(8)) + 3 + -2)**2.
-2*sqrt(11) + 12
Simplify sqrt(12)/sqrt(16) + sqrt(9)/(sqrt(3)*-1).
-sqrt(3)/2
Simplify -2*(((sqrt(68) + 1 - sqrt(68))*5)**2 + 5*(sqrt(68) + 0)**2).
-730
Simplify ((sqrt(13) + (sqrt(1872) - sqrt(1872)*1) - (sqrt(52) - sqrt(13))*4)*-2)**2.
468
Simplify 1 + sqrt(2299) + -4.
-3 + 11*sqrt(19)
Simplify sqrt(108)/sqrt(9) - (-1 + sqrt(3))*-3.
-3 + 5*sqrt(3)
Simplify sqrt(104)/(sqrt(288)*-1).
-sqrt(13)/6
Simplify 1 + sqrt(2) + (sqrt(2) - sqrt(18)) + 4 - sqrt(24)/((sqrt(12)*2 + sqrt(12))*-5).
-14*sqrt(2)/15 + 5
Simplify (0 + sqrt(7))**2*-6*5.
-210
Simplify -6*((sqrt(320) + (sqrt(320) + -2 - sqrt(320))**2 - sqrt(320)) + sqrt(5)).
-24 - 6*sqrt(5)
Simplify ((-2 + sqrt(612) + -2*sqrt(612) - sqrt(612)) + sqrt(612) - (sqrt(612) + 0 + sqrt(612) + 4))**2.
216*sqrt(17) + 5544
Simplify ((sqrt(63)*6 - sqrt(28)/(sqrt(12)/sqrt(3))) + -5)**2.
-170*sqrt(7) + 2048
Simplify (sqrt(49)/(sqrt(7) + sqrt(112)))**2 - sqrt(35)/(sqrt(10)/sqrt(2)).
-sqrt(7) + 7/25
Simplify (-4*((sqrt(13)*2 + sqrt(13))*-2 + sqrt(13) + ((sqrt(13) + 0)*5 - sqrt(13))))**2.
208
Simplify 1*((sqrt(175) - 2*sqrt(175))*4 + 2).
-20*sqrt(7) + 2
Simplify sqrt(22)/(sqrt(11)*2)*2.
sqrt(2)
Simplify 1*(sqrt(209)*-2*2)/sqrt(11).
-4*sqrt(19)
Simplify 3*sqrt(121)/(sqrt(11)*3).
sqrt(11)
Simplify (sqrt(630)/(sqrt(10)*-1))/((sqrt(441) - (2*sqrt(441) + sqrt(441) + sqrt(441) - sqrt(441))) + sqrt(441) - sqrt(9)).
sqrt(7)/8
Simplify (sqrt(456)/(sqrt(16)/sqrt(2)))/(sqrt(3) + sqrt(192) + sqrt(192)*-1 + sqrt(192) + sqrt(192) - sqrt(3)).
sqrt(19)/16
Simplify 2*sqrt(448) + (-5 + sqrt(7)*1 - sqrt(7)) - (4 + 0 + sqrt(7) + -5).
-4 + 15*sqrt(7)
Simplify (-2*sqrt(19))**2*-1 + 0.
-76
Simplify sqrt(85)/(2*sqrt(125)).
sqrt(17)/10
Simplify sqrt(84)/(sqrt(1
|
{
"pile_set_name": "DM Mathematics"
}
|
- m**2 + 3*m**2 + (4 - 4 - m)*(2*m + 2*m - 3*m) + 6*m**2 - 5*m**2 + 7*m**2.
12*m**2
Expand (5 - 1 - 1)*(2*z**2 + z**2 - 2*z**2) + 17 - 17 - 21*z**2.
-18*z**2
Expand -46*w**5 + 16*w**5 + 19*w**5 + (w**3 + 3*w**3 - 2*w**3)*(3*w**2 + 2*w**2 - 4*w**2) - 4*w**5 + 5*w**5 + w**5 - 3*w**5 + 3*w**5 + 2*w**5.
-5*w**5
Expand (3 - 4 + 5)*((2 - 1 + 1)*(-4*u + 4*u - 2*u**4) - 2*u**4 + u - u - 9*u**4 + 34*u**4 - 12*u**4 - u).
28*u**4 - 4*u
Expand 95 - 55*d**2 - 185 + 93 + 2*d**2 + d**2 - 2*d**2 - 2 + d**2 + 2 + (3*d - 5*d + 3*d)*(1 + 2*d - 1) + 5*d**2 - 2*d**2 - 2*d**2.
-50*d**2 + 3
Expand (0 - 3 + 2)*(-r**2 - 2*r**2 + 2*r**2) - r - 25*r**2 - r + 35*r**2.
11*r**2 - 2*r
Expand (-12*l + 45*l**2 - 2 + 46*l**2 - 93*l**2)*(2*l**2 - 2 + 2 - 3*l**2 - 3 + 3 + (-2 + 0 + 4)*(-2*l**2 + 2*l - 2*l) + 2*l**2 - l**2 - 2*l**2).
12*l**4 + 72*l**3 + 12*l**2
Expand (-1 + 1 + 2*s**2)*(-63 + 22 - 29).
-140*s**2
Expand -67*l**3 + 15*l**3 - 9*l**3 + (4*l - l - l)*(-3*l**2 + 2*l**2 - l**2).
-65*l**3
Expand (0 - 1 - 2)*(3*z**3 + 11*z**3 + z**3).
-45*z**3
Expand 0 - 3 + 6 - 2*d - 7*d + 9*d + 16*d + (-2*d - d + d)*(-3 + 3 - 1).
18*d + 3
Expand h**2 + 6*h**2 - 4*h**2 + (3*h - 3*h + 3*h)*(-9 + 9 + 71*h).
216*h**2
Expand (-3*p + 2*p - p)*(-2*p + 0*p + 4*p) + (-15 + 15 - 6*p**2)*(2 + 4 + 6).
-76*p**2
Expand (-5 + 5 - 2*y**2)*(220 - 14 - 25)*(-2*y + 3*y - 3*y).
724*y**3
Expand (85*t**2 - 82*t**2 - 1 - 1)*(-4*t**3 - t + t) + 2*t**5 + 0*t**5 - 3*t**5 - t + t + t**5 + t**4 - t**4 - 2*t**5 + (-1 + 1 + t)*(-t**4 + 4*t - 4*t).
-15*t**5 + 8*t**3
Expand (2*u**2 - 4*u**2 + 4*u**2)*(-4045*u - 21 + 21 + 44*u).
-8002*u**3
Expand -3*l**3 + 3*l**3 + l**3 + (-2*l - l + 4*l)*(-2*l**2 - 2*l**2 + 2*l**2) + 10 - 10 - 7*l**3.
-8*l**3
Expand (-1 + 2 - 2)*(-2*f + 2*f + f) + 1612 - 1612 - 473*f.
-474*f
Expand (29*a**3 - a**2 + 13*a**3 + a**3)*(-2*a - 3*a + 4*a).
-43*a**4 + a**3
Expand (j + 2*j - 4*j)*(-8*j + 18*j + 34*j) + 3*j**2 + 1 - 1.
-41*j**2
Expand ((2*c - 2*c - 2*c)*(-4 + 3 - 4) - 2*c - 2*c + 6*c + (0 - 3 + 6)*(-2*c + 2*c + c))*(6 - 3 - 1).
30*c
Expand (i + i - i)*(9*i**3 + 2*i**3 + 0*i**3)*(5*i + 0*i + 2*i).
77*i**5
Expand -7*v**3 + 7*v**3 + 10*v**4 + (-7 - 2 + 57*v - 55*v)*(-v**3 - 25*v**2 + 25*v**2 + 2).
8*v**4 + 9*v**3 + 4*v - 18
Expand (-58*o + 20 - 20)*(0 + 2 + 0).
-116*o
Expand (-1 + 8*r**3 + 1)*(8*r**2 + 14*r**2 + 4*r**2) + (-r - r**4 + r)*(-r + r - r) - 6*r**5 + 4*r**5 + 4*r**5.
211*r**5
Expand (-3 + 4 + l - 4*l)*(-3*l - l + 38 - 5*l**2 - 36).
15*l**3 + 7*l**2 - 10*l + 2
Expand (3 + 1 - 3)*(-6*m - 9*m + 14*m)*(1 + 2 - 4).
m
Expand (0*f + 0*f + f**2)*(0*f**2 + f**2 - 3*f**2) - 7*f**4 - 12*f**4 + 3*f**4 + (-f**3 + f**3 + 3*f**3)*(-3*f - 3*f + 5*f).
-21*f**4
Expand (-34*n + 34*n - 24*n**2)*(13*n - 19*n - 14*n)*(0 - 3 + 1).
-960*n**3
Expand (0 - 95 + 18)*(-1 - 4 + 3)*(2*p + 5*p - 5*p).
308*p
Expand -2*o**2 + 3*o**2 - 3*o**2 + (4 - 2*o - 4)*(-4*o - 213*o - 19*o) + (-3 + 4 + 1)*(0*o**2 - 2*o**2 + 0*o**2) + 3*o**2 - 4*o**2 + 3*o**2.
468*o**2
Expand -53*f - 4*f**4 + 53*f + (3*f**4 - 2*f**4 + 0*f**4)*(-12 + 1 + 1).
-14*f**4
Expand (9 + 6 + 3*a + 3*a**2 - 16)*(53*a**2 - 4*a**2 + 4*a**2).
159*a**4 + 159*a**3 - 53*a**2
Expand (7*w + 4*w - 9*w)*(-3*w + 6*w - 9*w) + (-1 + 1 - 2)*(-3*w**2 + 5*w**2 - 4*w**2).
-8*w**2
Expand 1036*j**2 - 1036*j**2 + 9*j**4 + (0*j + 0*j - 3*j)*(-2*j**3 + 0 + 0).
15*j**4
Expand (-1 + 1 + 2)*(-71*m - 54*m + 107*m)*(4 - 4 + m**3).
-36*m**4
Expand 2*b**3 + 27*b**2 + 32313 - 32313 + 3*b**3 - 2*b**3 - 2*b**3 + (-b**3 + 2*b**3 + b**3)*(4 - 1 - 2).
3*b**3 + 27*b**2
Expand (9*z**2 - 12*z**2 + 29*z**2)*(-14*z**3 + 243 - 243).
-364*z**5
Expand 7*c**2 - 8*c**2 + 2*c**2 + (40*c + 395 - 395)*(-c + 4*c - c).
81*c**2
Expand (-2*u - 5*u - 4*u)*(-3*u + 0*u + 2*u + (3*u + 0*u - u)*(-4 - 2 + 7)).
-11*u**2
Expand -2*i**4 + 4*i**4 - i**4 + (-i**3 - 3*i**3 + 7*i**3)*(3*i + 4*i - 10*i).
-8*i**4
Expand ((-2 + 4 - 3)*(2 - 2*z**2 - 2) + 2*z**2 - 2*z**2 - 9*z**2)*(-1 - 1 + 5).
-21*z**2
Expand -3*x**3 + 4*x**5 + 3*x**3 + (3*x**4 - 3*x**4 + x**4)*(2*x + x - x) + (2*x**2 + x - x)*(-3*x**3 + 6*x**3 + x**3).
14*x**5
Expand 3*r - 3*r - 2*r**5 + (r**5 + r**5 + 0*r**5)*(2 + 3 - 6) + (-2*r**3 + 10*r**3 - 9*r**3)*(-r**2 - 4*r**2 + 2*r**2).
-r**5
Expand (0 - 1 - 1)*(-46*w + 75 - 75)*(0 - 1 + 0)*(7*w - 4*w + 3*w)*(-3*w - 2*w + 4*w)*(w**2 - 3*w**2 + w**2).
-552*w**5
Expand (11*a**4 - 63*a**2 + 63*a**2)*(5 + 269*a - 3 + 2 - 4).
2959*a**5
Expand (d - d + 5*d)*(1 + 0 - 2) - 3 + 166*d + 162*d - 327*d.
-4*d - 3
Expand (-137*m**2 - 146*m**2 + 284*m**2 - 10*m**3)*(-4 + 2*m + 4) + 4*m**4 + 0*m**4 - m**4.
-17*m**4 + 2*m**3
Expand (-10*v**5 - 14*v**5 - 14*v**5)*(-2 - 5 + 4 + (2 + 0 - 4)*(3 - 5 + 0) + 2 + 3 - 7).
38*v**5
Expand ((4 + 1 - 4)*(5*b - 3*b + 0*b) - 2*b + 7*b + 0*b)*(2*b - 2*b + 4*b**2).
28*b**3
Expand (-133 - 2340*d + 524 + 2339*d)*(-2*d**2 + 4*d**2 - 3*d**2).
d**3 - 391*d**2
Expand (1 - 2 + 3)*(3 - 4*u - 3)*(-21*u**2 + 21*u**2 + 2 + 6*u**3).
-48*u**4 - 16*u
Expand 6*j**5 - j**5 - 3*j**5 + (-16*j - 13*j + 10*j)*(2*j**4 - 2*j**4 - 2*j**4) + 4*j**5 - 7*j**5 + 0*j**5.
37*j**5
Expand (6*q - 3*q - 2*q)*(-4 - 1 + 2) + (-1 + 1 + 1)*(5*q - 2*q - q) - 9*q + 5*q - 5*q.
-10*q
Expand -2*p**4 - p + p + (-5*p**3 + 3*p**3 + 4*p**3)*(-2*p + 0*p + 0*p) - 4*p + 4*p + 2*p**4 + 96*p**4 + 128*p**4 - 167*p**4 + p**4 + 0*p**4 + 0*p**4.
54*p**4
Expand (3 - 4 + 2)*(-3*v - 5*v + 3*v + 49 + 10*v - 49 + (-v - 2 + 2)*(-9 + 0 - 1)).
15*v
Expand (-34*a**2 - 23*a**3 + 34*a**2)*(0 + 2*a + 0) + (-6 + 6 + 2*a**2)*(-a**2 - a + a).
-48*a**4
Expand (-2 + 3 + 0)*(12*g + 8*g + 4*g)*(1 + 3 - 1).
72*g
Expand (3*k**2 - 36*k**2 - 10*k**2)*(-k**3 + 2*k**2 - 2*k**2).
43*k**5
Expand -3*x + 3*x + 2*x - 9*x - 11*x + 0*x + (-1 - 1 + 0)*(-x - 2*x + 2*x) + 0*x - 2*x + x + 2*x + 1 - 1 - 2*x + 0*x - 2*x.
-19*x
Expand 2*d**2 + 2*d - 2*d - 1 + 1 - 2*d**2 + 3*d + d**2 - 3*d + (-3 + 2*d + 3)*(3*d + 0*d - 2*d) + 201*d**2 - 2716 + 39*d**2 + 2716.
243*d**2
Expand 3*g**3 + 0*g**3 - 5*g**3 + (16 - 60*g - 10 - 7)*(g**2 + 3*g**2 - 5*g**2).
58*g**3 + g**2
Expand 2*r**3 - r**3 + 0*r**3 + (-1 + 2 + 1)*(-17*r**3 + 0*r**3 - 3*r**3 - 1 + r**3 + 1 + (-2*r - 2*r + 2*r)*(-4*r**2 - 2*r**2 + 5*r**2)).
-33*r**3
Expand (-50*l - 2 + 4*l - l)*(-4 + 1 - 2).
235*l + 10
Expand (-n + 4 - 4 + (2 + n - 2)*(19 - 9 + 9))*(4*n + 4*n - 6*n)*(-n + 4*n - n).
72*n**3
Expand (37 + 37 + 44)*(0 + 0 - j)*(2*j**2 + 0 + 0).
-236*j**3
Expand (37 - 24 + 30)*(-l - l + l + (0*l - l - 6*l)*(0 + 4 - 2))*(-2 + 2 - 2).
1290*l
Expand 3*n - 8*n - 2*n - 15 + 2*n + 25 + 68 - 5*n + 4*n + 2*n + 4*n - 3*n - 3*n + n - 5*n + 5*n + (n + 0*n - 2*n)*(3 - 6 + 1) - 3*n + n + 3*n + n - 3*n + 0*n.
-4*n + 78
Expand 4*w**5 + 0*w**5 - 2*w**5 - 6*w**5 + 5*w**5 + 5*w**5 + (2*w**2 + w**3 - 2*w**2)*(0 + w**2 + 0) + (-w**3 + 3*w - 3*w)*(-w**2 + 2*w**2 - 6*w**2).
12*w**5
Expand (-6*r + 40*r + 12*r)*(5*r**2 + 0*r**2 + 2*r**4 - 4*r**4).
-92*r**5 + 230*r**3
Expand (-x + 2*x - 2*x)*(-2 + 2 - 2) - 2*x + 0 + 0 + (-21*x + 35 - 35)*(-4 + 3 + 3) + 0*x - x + 2*x.
-41*x
Expand (-2 - 1 + 2)*(0*t + t - 6*t + (3*t - 4*t + 0*t)*(2 - 3 + 0) - 4*t - t + 3*t - 5*t + 3*t + 4*t).
4*t
Expand (-47 + 29 - 50 - 27 - 4)*(3*c**2 + c**2 - 13*c**2).
891*c**2
Expand -12*z - 27*z - 35*z + 2*z - 2*z + 2*z + (-2 + 3 + 1)*(-2*z - z + 5*z) + 0*z - z + 0*z + z + 2*z - 2*z + 0*z + 2*z - 3*z - 5*z + 3*z + 4*z.
-67*z
Expand (0 - 3 + 2)*(335*h + 214*h + 289*h).
-838*h
Expand (4*q - 4*q + q + (-2*q + 2*q + q)*(-1 + 5 - 3) + 9 + 2*q - 9)*(-4 + 3 - 3)*(-4*q + 2*q + 0*q).
32*q**2
Expand (k - 2*k + 4*k)*(0*k + 8*k - k)*(16 + 4*k**2 - 16 + 0*k + 0*k + k**2 + (k + 3*k - 6*k)*(0 + 0 - 2*k)).
189*k**4
Expand (19*k + 23 - 23)*(-3 + 5 - 3) + (-5*k + 5*k - k)*(0 + 0 - 2) - k - k + 3*k.
-16*k
Expand (-157 + 158 - 2*l + l)*(-2*l + l - 4 + 3)*(-2 + 1 + 2).
l**2 - 1
Expand (2 + 1 - 4)*(-390*z + z**3 + 390*z - 8*z**5).
8*z**5 - z**3
Expand (-4*f + 4*f + 3*f)*(15 - 351*f**2 + 351*f**2 + 3*f**4).
9*f**5 + 45*f
Expand ((0 - 5 - 13)*(1 - 1 + 1) + (-3 + 3 + 2)*(-4 + 0 + 3))*(4*f**4 - 4*f**4 + 2*f**4 + (-4*f**3 - 2*f**3 + 4*f**3)*(2*f - 5*f + 5*f)).
40*f**4
Expand (-2 - r**2 + 2*r - 4*r + 0*r**2)*(5*r**3 + 0*r**3 + 8*r**3 + (0*r**2 + 4*r**2 - 2*r**2)*(-2 + 2 + r) - 4*r**3 + r**3 + 4*r**3).
-16*r**5 - 32*r**4 - 32*r**3
Expand (-2*u - 2 + 2)*(1 - 1 + 2*u**4) + (-139*u**2 + 139*u**2 - 17*u**3)*(276*u - 18*u**
|
{
"pile_set_name": "DM Mathematics"
}
|
by 148?
136
Let r = -8411 - -8628. Calculate the remainder when r is divided by 29.
14
Suppose 0 = 4*l + l - 1310. Let v = 4221 - 4197. What is the remainder when l is divided by v?
22
Suppose 40*h - 130*h + 9090 = 0. What is the remainder when 831 is divided by h?
23
Let o(n) = 6*n**2 - 16*n - 270. Calculate the remainder when o(19) is divided by 785.
22
Suppose -2*j + 2*h = -560, -2*h + 274 = -81*j + 82*j. What is the remainder when 1156 is divided by j?
44
Suppose -5 = -t + 4. Suppose 0 = -5*g + 10*g + o - 1952, 1166 = 3*g - 2*o. Suppose 7*s + 145 - g = 0. What is the remainder when s is divided by t?
8
Let g = 2202 - 2092. Calculate the remainder when g is divided by 91.
19
Suppose 0*n = n + 4. Let l(f) = 2*f**3 + 16*f**2 + f + 18. What is the remainder when 12/n*1 - -52 is divided by l(-8)?
9
Suppose 3*a - 10*d + 5*d = 845, 0 = -5*a + 4*d + 1417. Let s(q) = 4*q**2 - 13*q - 24. Calculate the remainder when a is divided by s(-2).
15
Suppose 3*g - 20*g - 21*g + 2470 = 0. Calculate the remainder when g is divided by 1/((-1)/2) - (-390)/10.
28
Let s = 34118 - 33927. Calculate the remainder when 3250 is divided by s.
3
Suppose -3*v = -5*k - 65, -2*k - 3*k - 20 = 0. Let l = 35 - v. Suppose -2*z - l = -4*z. What is the remainder when 14 is divided by z?
4
Suppose -5*g + 1763 = h - 533, 4*g = -5*h + 1820. Calculate the remainder when g is divided by 126.
82
Let o be (-1 - (-19649)/21) + 8/6. Suppose -2*i + o = 4*j, 2*j + 5*i - 281 = 203. Calculate the remainder when j is divided by -1*(0 - (2 - -45)).
44
Suppose 1578 = -4*t + 5278. Suppose 592 = i + 2*i + 5*o, 5*i = 4*o + t. Calculate the remainder when i is divided by 48.
45
Suppose -9*d + 3*h + 165 = -12*d, 3*d = -4*h - 169. Calculate the remainder when 4 + -2 + -3 - d is divided by 13.
11
Let i = 42 - -6. Suppose 5*l - 2*l = i. Calculate the remainder when (92/(-414) - 2294/(-36))*2 is divided by l.
15
Let v = -8226 + 8394. Calculate the remainder when 330 is divided by v.
162
What is the remainder when 377 is divided by (198/(-7 + -2))/(-1)?
3
Calculate the remainder when 1158 is divided by (-10342)/(-47) - 2326/54661.
58
Let t(b) = -48*b - 91 + 68*b - 46*b. What is the remainder when t(-6) is divided by 22?
21
Suppose i + 21*i = 9332 - 1478. Calculate the remainder when 2854 is divided by i.
355
Let c = 206 - 120. Calculate the remainder when c is divided by (-10 - -17) + 10*3/(12/10).
22
Let v = -20009 + 20590. What is the remainder when v is divided by 103?
66
Let h = 1611 + -1564. Calculate the remainder when 1362 is divided by h.
46
Let k(y) = -y + 72. Let v be k(0). Suppose -4*u = -p + 15, 22 = -2*p - 2*u + v. Let h(r) = r**2 - 21*r - 23. What is the remainder when 112 is divided by h(p)?
20
Let y = -4484 + 15928. What is the remainder when y is divided by 118?
116
Calculate the remainder when 21722*4/60 - (-10)/(-75) is divided by 476.
20
Suppose 3*h + 4*f - 279 = 1189, -3*h = 2*f - 1466. Calculate the remainder when h is divided by 15.
8
Let x(h) = -3*h**3 - 4*h**2 + 32*h - 7. What is the remainder when x(-5) is divided by 2*57/9*3?
32
Let d(m) = -2*m**3 + 101*m**2 - 182*m - 167. Calculate the remainder when d(48) is divided by 262.
259
Suppose 7*d - 24863 = 25292. Suppose -d = -32*k + 10051. Calculate the remainder when k is divided by 60.
58
Calculate the remainder when 134 is divided by -1 - (-267)/7 - ((-118)/7 + 17).
23
Let b(w) = 2*w**2 - 50*w + 589. What is the remainder when 1677 is divided by b(11)?
272
Let m = -83 - -176. Calculate the remainder when 144 is divided by m.
51
Let p(n) = -n**3 - 7*n**2 - n. Calculate the remainder when 134 is divided by p(-8).
62
Suppose -6*d + 7*d - 52 = -4*z, 0 = 3*d - z - 234. Calculate the remainder when d is divided by (-120)/(-18) - 3/(-9).
6
Suppose -f + 3*f = -t + 5, 0 = 4*f - 4*t - 40. Suppose 5*g - f = 0, 5*d = -7*g + 2*g + 5. Calculate the remainder when d + -8*(7/2 + -4) is divided by 4.
0
Let s(l) = l**2 + 2*l - 31. Let f be s(-7). Suppose -2*h + 2*w + 22 = 0, 27 = -h + f*h - w. Calculate the remainder when 29 is divided by h.
5
Let o = -12786 - -13301. Calculate the remainder when o is divided by 120.
35
Let c(w) = 2*w + 28. Let j be c(-6). Suppose -j*b + 54 = -314. Suppose -9*h + 419 = b. What is the remainder when h is divided by 12?
8
Suppose -4*r = -z - 587 - 128, 0 = -z + 5. What is the remainder when r is divided by -3 + (0 - -2) + (-1 - -63)?
58
Let c(s) = -s**3 + 27*s**2 - 26*s + 13. Let d be c(26). Let t = 20 + d. Calculate the remainder when 115 is divided by t.
16
Suppose -2713 + 581 = -4*s. Suppose 0 = 7*g + 29 - s. Calculate the remainder when 122 is divided by g.
50
Suppose i - 226 = -3*s, 3*s + 3*i - 227 = i. Let o be ((-84)/(-70))/(3/10). Suppose o*r = -151 + 215. Calculate the remainder when s is divided by r.
11
Suppose -2*j = 3*a - 54, -a - 48 = 5*j - 79. Calculate the remainder when 29 is divided by a.
13
Suppose -10*h + 6840 = 2*h. Let b = -407 + h. What is the remainder when b is divided by 43?
34
Suppose 8*g = -6*g. Suppose g = m + 2*m - 75. What is the remainder when m is divided by 14?
11
Let u(h) = h**3 - h**2 + 50*h - 136. Calculate the remainder when u(3) is divided by 17.
15
Suppose 3*k = 4*w - 127, 72 - 1 = 2*w + k. Calculate the remainder when w is divided by -15*(-30)/50*1.
7
Suppose -27 = -4*d + 189. Suppose 55*l - d*l = 7. Calculate the remainder when 29 is divided by l.
1
Suppose -2*t - 3*b + 2 - 11 = 0, 2*t = -5*b - 3. Let s(n) = n**2 + 6*n - 13. Let j = 59 - 20. Calculate the remainder when j is divided by s(t).
11
Let p = 82 + -45. Let x = -39 + p. Let m = 18 + x. What is the remainder when 94 is divided by m?
14
Let f be (2 + 10/(-4))/(1/(-4)). What is the remainder when 1/2 + 939/f + 3 is divided by 28?
25
Let b(s) = -25*s - 46 + 18*s + 11*s. Suppose 0*m - 3*m = -39. What is the remainder when m is divided by b(12)?
1
Let k(v) be the third derivative of -2*v**6/5 + v**5/60 - v**4/8 - v**3/2 - 79*v**2. Calculate the remainder when k(-1) is divided by 18.
13
Let a = 42 + -40. Suppose q = -2*m - 3 + 154, 2*m = a*q + 154. Let c = m - 23. Calculate the remainder when c is divided by 28.
25
Suppose -o - 3*r + 9 = 0, r - 17 = -5*o - 0. Suppose 0 = -o*h + 2*v + 105, v = 3*h - 93 - 9. What is the remainder when 46 is divided by h?
13
Suppose 0 = 8*z + f - 11805, 5*z + 259*f - 254*f - 7365 = 0. What is the remainder when z is divided by 31?
19
Let j = 1395 - 1373. Let h(b) = b + 12. Let u be h(-7). Suppose c = -c - 8, u*c - 370 = -3*z. What is the remainder when z is divided by j?
20
Let l be -3 - (3 - 20/1). Let f = 34 - l. What is the remainder when 24 is divided by f?
4
Suppose 17*q - 963 = 176. What is the remainder when q is divided by 67?
0
Let c(z) = -16*z**2 - 16*z - 41. Let h(w) = 7*w**2 + 8*w + 20. Let j(y) = 4*c(y) + 9*h(y). What is the remainder when 95 is divided by j(8)?
15
Suppose 0 = 32*u - 28*u - 924. Suppose -612 = -3*w + u. What is the remainder when w is divided by 57?
53
Let b(t) = t**2 - 143*t - 1596. Calculate the remainder when b(-11) is divided by 91.
7
Let r = 16899 - 16850. What is the remainder when 154 is divided by r?
7
Suppose 13*u - 26614 = -5908 + 34739. Calculate the remainder when u is divided by 17.
15
Suppose -3*w + 184 - 22 = 0. Let r(g) = 3*g**2 + 7*g + 13. Suppose 8*q - 39 = 21*q. Calculate the remainder when w is divided by r(q).
16
Let a(h) = -62*h + 74. Calculate the remainder when a(0) is divided by 8/(2*3/12).
10
Let i = -9636 - -9836. Calculate the remainder when i is divided by 105.
95
Suppose -d = -5*b + 12 + 183, 0 = b + 3*d - 55. Suppose 3*t = 3*i + 35 + b, 4*t + 4*i = 140. What is the remainder when 88 is divided by t?
28
Let q(z) = z**2 - 82*z + 164. Calculate the remainder when 507 is divided by q(83).
13
Let w(d) = d**2 - 1. What is the remainder when 736/5 + (4/(-15))/((-320)/(-240)) is divided by w(-4)?
12
Calculate the remainder when (7 + (-60)/8)*-412 is divided by 195.
11
Suppose 19780 = 53*h + 162*h. What is the remainder when 1113 is divided by h?
9
Suppose 0 = 89*l - 67*l - 7678. What is the remainder when 1397 is divided by l?
1
Suppose 2*c - 675 = -3*c. Suppose -2*f - 24 + 214 = -n, 188 = -n + 4*f. What is the remainder when c is divided by (-5)/(20/n) - 3 - -1?
43
Let q(v) = -186*v - 1269. Calculate the remainder when 1978 is divide
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest 100.
-500
Let l = 125 + -8. Suppose -2*i - l = -q, -2*q = 2*i - 0*i - 210. Suppose -2*v - 5*o = q - 24, 5*v - o + 226 = 0. What is v rounded to the nearest 10?
-50
Let s = 24.000035 - 24. What is s rounded to 5 dps?
0.00004
Let s(x) be the third derivative of 507*x**5/20 + 5*x**4/12 + 2*x**2. Let w be s(-10). Round w to the nearest 10000.
150000
Let d = -5 - -4.99729. Round d to four decimal places.
-0.0027
Let h = 4 - 2. Let p(m) = -3625*m**3 + m - 2. Let l be p(h). Round l to the nearest ten thousand.
-30000
Let z = 3.3 + -0.3. Let r = z + -1.3. Let a = r - 1.70036. Round a to four decimal places.
-0.0004
Let z = -90 + 96.7. Let h = -6.700031 + z. What is h rounded to 5 dps?
-0.00003
Let i = 15.549 + -0.149. What is i rounded to 0 decimal places?
15
Let w = 3 - 3.2. Let o = 0.7 - w. Let s = -0.90000068 + o. Round s to seven decimal places.
-0.0000007
Let i = 5.44504 - 4.9957. Let o = 0.45 - i. What is o rounded to 4 dps?
0.0007
Let g = 4 - 29. Let o = 25.51 + g. What is o rounded to one decimal place?
0.5
Let o = -723 - -723.0000533. Round o to six decimal places.
0.000053
Suppose 5*o = 78493 - 11508. Suppose j + o + 1603 = 0. Round j to the nearest ten thousand.
-20000
Let b = 23.054 - 32.71308. Let d = 2.659122 + b. Let n = -7 - d. Round n to five decimal places.
-0.00004
Let a = -0.04 - -0.04044. Round a to four dps.
0.0004
Let k = -8 + 5. Let j = -169518 + 169515.00004. Let v = k - j. What is v rounded to four dps?
0
Let x = -9686578.30000004 - -9686578. Let v = -6 + 5.7. Let n = x - v. Round n to seven decimal places.
0
Let u = 0.09 + 37.91. Let q = 9 - u. Let o = 29.00026 + q. What is o rounded to four decimal places?
0.0003
Let q = 0.09 + -0.06. Let n = q - 0.04. Let y = 0.01005 + n. What is y rounded to five dps?
0.00005
Let k = 92.818 - 93. Round k to two decimal places.
-0.18
Let m = -9.9999987 - -10. What is m rounded to seven dps?
0.0000013
Let y = -0.04 - 0. Let g = y + -0.26. Let t = 0.295 + g. Round t to 3 dps.
-0.005
Suppose -5*r = -20, -r = 3*z - z + 4999996. Round z to the nearest 1000000.
-3000000
Let h = 0.21 + 0.15. Let o = -79612072.64000083 + 79612073. Let z = o - h. What is z rounded to seven dps?
-0.0000008
Suppose 5*z - 2 = 3, 5*q + 13148 = -2*z. What is q rounded to the nearest 100?
-2600
Let a(g) = -7907*g - 23. Let f be a(11). Round f to the nearest 10000.
-90000
Let f = 23348 + -23283.844. Let z = f - 64. Round z to two decimal places.
0.16
Let d(p) = 1584*p**3 - p**2 + 5*p - 3. Let j be d(5). Let t(w) = -w**2 - 7*w + 9. Let r be t(-9). Let n be j/r - (-1)/(-3). Round n to the nearest ten thousand.
-20000
Let t = -38957 - -327675. Suppose -4*z - 577468 = 4*j, z = -z + 2*j - t. Let p = z + 34363. What is p rounded to the nearest one hundred thousand?
-100000
Let j = 0.421 - 18.321. What is j rounded to the nearest integer?
-18
Let p = 118.94 + -123. Let w = p + 0.06. Let z = w - -3.9972. Round z to three dps.
-0.003
Let o = -0.75 - -0.15. Let c = -0.60032 - o. Round c to four dps.
-0.0003
Let z = -0.219997 + 0.22. Round z to 5 decimal places.
0
Let f be 1 + (2 + 0 - 0). Suppose -3*v - f*d - 1106496 = 0, 0 = 4*d - 5*d + 1. Let t = -31167 + v. What is t rounded to the nearest 1000000?
0
Let a = -12.481 - -9. Let t = a - -3.5. What is t rounded to 2 decimal places?
0.02
Let t(m) = -129*m**2 + 4*m - 1. Let b be (-2)/(-3)*(2 + 1). Let q = 1 + b. Let o be t(q). What is o rounded to the nearest 100?
-1200
Let y be 2 + (-3)/(6/(-4)). Let d(i) = -2*i**2 + 2*i + 4. Let n be d(y). What is n rounded to the nearest 100?
0
Let f = 1745.049975 + -1745. Let a = f - 0.05. Let o = 0 - a. What is o rounded to five dps?
0.00003
Let f = 0.114 + -0.1140295. Round f to six dps.
-0.00003
Let n = -1.948 + 2. Let q = n + -0.079. Round q to 2 decimal places.
-0.03
Let w(f) = -85000*f. Let m = 21 + -31. Let i be w(m). What is i rounded to the nearest one hundred thousand?
900000
Let k(o) = -o**3 + 2*o**2 - 5*o - 10. Let d be k(5). What is d rounded to the nearest one hundred?
-100
Let x = 0.35 + 0.81. Round x to one decimal place.
1.2
Let o = 25.214 + -25. Let y = 13562783.21400141 - 13562783. Let u = o - y. Round u to seven dps.
-0.0000014
Let u = -109 - -109.0071. Round u to 3 decimal places.
0.007
Let x(i) = -641*i + 4. Let c be x(-6). Suppose -2*o = -7*o + c. Round o to the nearest 100.
800
Let h = 2 + -2.1. Let g = h - -0.6. Let o = g + -0.49996. What is o rounded to 4 dps?
0
Suppose -4*m + 3435 = -4925. Round m to the nearest one hundred.
2100
Let a = -2229.941419 - -2133.9414233. Let z = 223 + -127. Let b = a + z. Round b to six dps.
0.000004
Let h = 13 + -12.999988. What is h rounded to five decimal places?
0.00001
Let w = 1995543 + -607289. Suppose -3*r + x - 2219997 = 0, 2*r + 2*x = -91752 - w. What is r rounded to the nearest one hundred thousand?
-700000
Let h(n) = 347*n**2 + n - 4. Let w be h(-4). Suppose -4*k - w = 4*f, -5*k + 0*f - 2*f - 6942 = 0. What is k rounded to the nearest 100?
-1400
Let d = -115.22 + 113. Let c = 1.6 + d. What is c rounded to 1 decimal place?
-0.6
Suppose g = -0*g + 5. Suppose -2*k - p - 3*p = 24, -20 = g*k + 2*p. Let r be (-3)/((-6)/(-1540004)) - k. Round r to the nearest 100000.
-800000
Let x = 5.3926 - 5.4. What is x rounded to three decimal places?
-0.007
Let c = 47 - 31. Let f = 15.9999999 - c. Round f to 6 dps.
0
Suppose -4*r - 4*f - 4 = 0, 3 = -r + 2*f + 14. Suppose 16 = -r*x - 32. Round x to the nearest ten.
-20
Let u = -352379.885 + 344984512.885. Let l = -344632117.0000023 + u. Let i = 16 - l. What is i rounded to six dps?
0.000002
Let m = -54484.0019 + 54478. Let o = 6 + m. Round o to 3 decimal places.
-0.002
Let c = 48825274477308.999989 - 48825254704664. Let x = c + -19772663. Let v = -18 - x. What is v rounded to 6 dps?
0.000011
Let x(o) = -41*o**3 - 3*o**2 + 3*o + 4. Let i be x(3). Let z = i + -489. Round z to the nearest 100.
-1600
Suppose 4*n + 18608 = 3*u, 0 = -3*u + 2*n - 5*n + 18594. Round u to the nearest one thousand.
6000
Let n(d) = 62500*d**3 + d**2 + 3*d - 4. Let x be n(-4). Round x to the nearest one million.
-4000000
Suppose k = 4*k - 63. Let d be 5466/k - 2/7. Suppose 3*p - 4*c - 148 = 0, -2*c = -5*p + 2*c + d. What is p rounded to the nearest ten?
60
Let b = 1.9946 + -2. What is b rounded to three decimal places?
-0.005
Let p be ((-3)/2 - -1)*0. Suppose -3*q - a = -154, 4*q + 5*a - 220 = -p*q. Round q to the nearest ten.
50
Suppose -j = -g - 6*j - 509975, 0 = 5*g + 2*j + 2549990. What is g rounded to the nearest one hundred thousand?
-500000
Let p = 14 + 69. Round p to the nearest ten.
80
Let l = 334482.9229789 - -0.0770211. Let r = l - 334412.9869. Let w = r - 70. Round w to three dps.
0.013
Suppose 3*z + 2*b = -5899135, -6*z + z + 3*b - 9831879 = 0. Let j = 3226377 + z. Round j to the nearest 100000.
1300000
Let r = 4.6136 + -59.6646. Let u = -55 - r. Let j = u - 0.051077. Round j to five decimal places.
-0.00008
Let v be (-17207)/(-2)*(-9 - -5). Let j = v - -23014. Round j to the nearest one thousand.
-11000
Let r(v) = -v**2 - 8*v - 4. Let g be r(-7). Suppose 0 = 5*y + 4*n - 224980, -g*y + 69954 + 65021 = 5*n. What is y rounded to the nearest 10000?
50000
Let u = -207.7 - -208.5488. Let b = u + -0.988764. Let p = b - -0.14. What is p rounded to five decimal places?
0.00004
Let v = -191 - -13. Let b = v + 177.99887. What is b rounded to four dps?
-0.0011
Let o = -0.43200301 - -0.432. What is o rounded to six dps?
-0.000003
Suppose 5*a + 5 = 0, 2*a - 11 = 3*i + 5. Let b = -3 - i. Suppose -b*n + 6*n - 1380 = 0. Round n to the nearest 100.
500
Let q = 0.231 - -9.469. Let j = 13.62 - q. Let u = -0.12 + j. Round u to the nearest integer.
4
Suppose -2*m = -6*m + 8. Let o(c) = -m + 0 - c + 6*c**2 + 3*c**2. Let u be o(3). What is u rounded to the nearest ten?
80
Let b = 3.6 + -2. Let f = -1.60015 + b. What is f rounded to four dps?
-0.0002
Suppose -4*r + 2196 = 716. Round r to the nearest one hundred.
400
Let z = -2.5 - -2.505. Round z to 3 decimal places.
0.005
Let g = 2272 - 5964. Let m = -1192 - g. Let l be m*(1678 - -2)/(-2). Round l to the nearest 1000000.
-2000000
Let q = 3 - -1. Let w be (-4)/(-16) + 15/q. Suppose -w*p + 2524 = m, 0 = -3*p + 2*m + 753 + 1129. What is p rounded to the nearest 100?
600
Let f = -10 + 9.99999941. What is f rounded to six dec
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 642 and 856.
2568
What is the lowest common multiple of 84 and 7?
84
Find the common denominator of -55/538 and -21/5380.
5380
Calculate the lowest common multiple of 789 and 12.
3156
What is the smallest common multiple of 16 and 2848?
2848
Find the common denominator of -51/253 and -25/11.
253
Calculate the least common multiple of 936 and 12.
936
Find the common denominator of -13/40 and -119/40.
40
Calculate the common denominator of -83/40 and 149/192.
960
What is the common denominator of 19/255 and -37/40?
2040
Calculate the smallest common multiple of 825 and 50.
1650
What is the lowest common multiple of 60 and 126?
1260
What is the lowest common multiple of 6974 and 18?
62766
What is the common denominator of 56/275 and 137/660?
3300
What is the common denominator of -28/5 and -27/53?
265
Calculate the common denominator of 127/42 and -53/33.
462
Calculate the smallest common multiple of 3 and 20.
60
What is the least common multiple of 216 and 24?
216
What is the common denominator of 99/8 and 51/7?
56
Calculate the smallest common multiple of 4785 and 1740.
19140
What is the least common multiple of 10425 and 50?
20850
What is the lowest common multiple of 36 and 42?
252
What is the common denominator of -29/10 and -43/100?
100
What is the common denominator of -17/117 and 4/117?
117
Calculate the lowest common multiple of 3396 and 16.
13584
What is the common denominator of -97/60 and 5/108?
540
Calculate the least common multiple of 4012 and 8.
8024
What is the common denominator of 137/768 and -1/56?
5376
Calculate the common denominator of -35/96 and -169/2268.
18144
Calculate the common denominator of 101/144 and 13/96.
288
Calculate the common denominator of 41/6372 and 25/6.
6372
Calculate the common denominator of -97/12 and 37/20.
60
Calculate the least common multiple of 686 and 42.
2058
Calculate the least common multiple of 48 and 270.
2160
Calculate the common denominator of -13/36 and -5/24.
72
What is the common denominator of -11/1590 and 5/12?
3180
Calculate the least common multiple of 78 and 6.
78
What is the lowest common multiple of 576 and 39?
7488
What is the lowest common multiple of 513 and 494?
13338
What is the common denominator of 69/320 and 11/120?
960
What is the common denominator of -93/116 and -31/44?
1276
What is the common denominator of -65/6 and -7/313?
1878
Find the common denominator of -63/1304 and -51/22.
14344
What is the lowest common multiple of 18 and 3450?
10350
Calculate the lowest common multiple of 4908 and 105.
171780
Calculate the smallest common multiple of 42 and 100.
2100
Calculate the smallest common multiple of 183 and 24.
1464
What is the smallest common multiple of 30 and 52?
780
Find the common denominator of 119/4266 and 191/2370.
21330
Calculate the smallest common multiple of 48 and 776.
4656
Calculate the lowest common multiple of 384 and 24.
384
Calculate the smallest common multiple of 107 and 535.
535
What is the smallest common multiple of 27 and 10?
270
Find the common denominator of 13/3 and -63/506.
1518
What is the smallest common multiple of 104 and 32?
416
Calculate the lowest common multiple of 30 and 325.
1950
Calculate the common denominator of 79/548 and 139/108.
14796
What is the least common multiple of 2324 and 10?
11620
What is the common denominator of -59/54 and 11/12?
108
Calculate the common denominator of -87/10 and -13/4.
20
Find the common denominator of 109/6 and 11/493.
2958
Find the common denominator of 21/2 and -19/2.
2
Find the common denominator of -71/492 and 95/492.
492
What is the common denominator of -35/2 and -89/912?
912
What is the common denominator of 83/36 and -149/420?
1260
What is the common denominator of -69/154 and -25/462?
462
What is the common denominator of -179/19770 and 23/9?
59310
What is the smallest common multiple of 504 and 792?
5544
What is the common denominator of 123/50 and -61/940?
4700
Calculate the least common multiple of 706 and 8.
2824
Find the common denominator of 49/54 and 49/102.
918
Calculate the common denominator of -50/99 and 137/396.
396
What is the smallest common multiple of 188 and 282?
564
Find the common denominator of -38/1161 and 29/33.
12771
What is the common denominator of 41/40 and -109/216?
1080
What is the common denominator of 89/420 and -83/945?
3780
What is the common denominator of -31/8 and -76/1929?
15432
Calculate the lowest common multiple of 552 and 7383.
59064
Calculate the common denominator of 35/36 and -51/76.
684
What is the smallest common multiple of 11 and 378?
4158
Calculate the lowest common multiple of 294 and 48.
2352
Calculate the common denominator of 155/792 and 41/9.
792
Calculate the common denominator of 83/20 and -13/6012.
30060
Calculate the least common multiple of 2904 and 363.
2904
Calculate the common denominator of 19/30 and -71/261.
2610
Calculate the smallest common multiple of 1042 and 11.
11462
Calculate the lowest common multiple of 54 and 750.
6750
Calculate the lowest common multiple of 95 and 50.
950
What is the smallest common multiple of 226 and 6?
678
Find the common denominator of -43/105 and 32/63.
315
What is the smallest common multiple of 156 and 52?
156
Calculate the smallest common multiple of 14 and 114.
798
Calculate the common denominator of -59/90 and -22/63.
630
What is the smallest common multiple of 3 and 2967?
2967
Find the common denominator of -131/6 and -97/38.
114
Find the common denominator of 21/865 and 31/35.
6055
Calculate the common denominator of 1/136 and 131/306.
1224
What is the common denominator of -79/24 and 145/336?
336
Calculate the common denominator of 25/164 and -71/476.
19516
What is the least common multiple of 64 and 4?
64
Calculate the lowest common multiple of 52 and 2.
52
What is the common denominator of 6/511 and -6/77?
5621
What is the least common multiple of 62 and 8?
248
What is the common denominator of 77/10 and -39/20062?
100310
Find the common denominator of -45/3724 and -80/399.
11172
What is the common denominator of -76/933 and 65/27?
8397
Calculate the least common multiple of 20 and 116.
580
What is the smallest common multiple of 462 and 726?
5082
Calculate the lowest common multiple of 2490 and 1494.
7470
Calculate the least common multiple of 255 and 663.
3315
Calculate the common denominator of -23/35168 and 95/6.
105504
Find the common denominator of 107/690 and 67/48.
5520
Find the common denominator of -119/192 and 149/864.
1728
Calculate the lowest common multiple of 335 and 2345.
2345
Calculate the common denominator of -63/10 and 39/220.
220
What is the smallest common multiple of 10 and 130?
130
Calculate the lowest common multiple of 105 and 150.
1050
Calculate the common denominator of 93/7280 and 87/100.
36400
What is the common denominator of 13/11156 and 63/8?
22312
Calculate the lowest common multiple of 12 and 2070.
4140
What is the least common multiple of 6838 and 8?
27352
Calculate the least common multiple of 35 and 6.
210
What is the common denominator of 81/10 and -7/894?
4470
Calculate the least common multiple of 120 and 72.
360
What is the least common multiple of 35 and 5?
35
What is the lowest common multiple of 9720 and 10692?
106920
What is the smallest common multiple of 280 and 40?
280
Calculate the common denominator of 119/1458 and 47/162.
1458
Find the common denominator of 127/12628 and -113/28.
12628
Calculate the lowest common multiple of 136 and 40.
680
What is the common denominator of -67/22 and -39?
22
What is the lowest common multiple of 3184 and 24?
9552
Find the common denominator of 43/26 and 107/104.
104
What is the least common multiple of 246 and 6?
246
Calculate the common denominator of 73/360 and 69/800.
7200
What is the smallest common multiple of 1239 and 9?
3717
Calculate the least common multiple of 716 and 716.
716
What is the smallest common multiple of 44 and 24?
264
Calculate the least common multiple of 285 and 190.
570
What is the smallest common multiple of 116 and 145?
580
Calculate the smallest common multiple of 290 and 5452.
27260
What is the smallest common multiple of 1034 and 94?
1034
What is the smallest common multiple of 15 and 825?
825
What is the common denominator of -115/174 and 103/78
|
{
"pile_set_name": "DM Mathematics"
}
|
of k and 64/245.
1960
Let q be -4 + -2 + (-267)/24. Let b = q - -753/40. Find the common denominator of (99/84)/(0 + 1) and b.
140
Suppose 1085*d - 1074*d - 88 = 0. Suppose -2*p = 2*c - p - 8, 4*p = 0. Calculate the smallest common multiple of ((-4)/d*1)/((-7)/112) and c.
8
Let a(v) = -v + 40. Suppose 0 = 11*g + 5*g - 48. Calculate the lowest common multiple of g and a(13).
27
Suppose -5 = -4*h - 5*u, 0 = 2*h - 5*u + 35. Let r(t) = t**2 + 7*t. Let q be r(h). Let n = 34 + q. What is the least common multiple of 30 and n?
120
Let p be 53 - (-12 + 2)/(-2). Let m = -52 + p. Calculate the common denominator of -19/8 and (-624)/88 + m/(-1).
88
Let u = -926155/2142 + 7370/17. What is the common denominator of -71/180 and u?
1260
Find the common denominator of -125/84 and 11/2562*-43 + 19/133.
5124
Let d = 1057 + -1057. Let i = 17935/4 - 4558. Let y = i + 82. Find the common denominator of d and y.
4
Let g = -1592/6183 + 42/229. Calculate the common denominator of g and -38/39.
351
Find the common denominator of 3/860 and 144/(-10) - (-22 + 16) - 2/10.
860
Suppose -6*g = -1 - 5. Let l(u) = -u + 15. Let k(w) = w**3 + 3*w**2 + w + 2. Let d be k(-2). What is the smallest common multiple of l(d) and g?
11
Let w = -601057/3000 + 19/1000. Let h = w + 201. Find the common denominator of h and -37/39.
39
Let m = -474 - 99. Let q = m - -603. Calculate the smallest common multiple of 21 and q.
210
Let m = 2 - -4. Calculate the lowest common multiple of (-10 - 266/(-28))/(-3 - 85/(-30)) and m.
6
Let k = 279 + -277. Suppose -2*f - 3*b + 2 = -0*f, b - 2 = 0. What is the smallest common multiple of k and 14 - -6 - (f - 2)?
24
Let z(y) = 47*y + 8 + 36*y + 95 + 7 - 115*y. What is the smallest common multiple of z(3) and 38?
266
Let j = -78 - -80. Suppose 63 = 9*t - j*t. Let a = t - 95/12. Find the common denominator of a and 121/6.
12
Calculate the smallest common multiple of 3490 and 2094/4*((-230)/(-15) - 10).
13960
Suppose -44*o - 34*o + 80*o - 5020 = 0. Calculate the lowest common multiple of 22 and o.
27610
Suppose 185*q = 62*q + 8118. Calculate the least common multiple of 1584 and q.
1584
Let j(d) = 2*d + 34. Let x be (1 + 4)*(3/(-15) - 2). What is the smallest common multiple of 42 and j(x)?
84
Let v = -36 - -46. Let k be (11 - -1)*v/(-15). Calculate the lowest common multiple of 6 and (-150)/(-12) - (-12)/k.
66
Let d = -132905/8 - -16616. Find the common denominator of d and -57/56.
56
Let k be (-182265)/(-1 + -2) - 3. Let g be 39/52 + (-10205726)/(-168). Let r = g - k. Find the common denominator of 53/14 and r.
42
Let z(n) = 227*n + 273. What is the smallest common multiple of 11 and z(0)?
3003
Suppose -2*f - 3*p - 180 = 0, 3*f = 3*p - 143 - 112. Find the common denominator of 35/44 and (-2 + f/(-48))/((-4)/10).
352
Find the common denominator of 91/5652 and (-9)/42*(-73689)/(-638).
5652
Calculate the common denominator of 10328/16212 - -6*(-18)/189 and -34/3.
579
Let t = -2021464 + 671123553/332. Let g = t + 22/83. Find the common denominator of g and 10/14 + (-203600)/61600.
44
What is the smallest common multiple of 68 and (-9)/(-3) - -3230 - ((-44)/(-11) - 1)?
6460
Find the common denominator of -69/770 and (-698)/1232 - ((-4)/48)/(29/261).
3080
Let x = -14 + 28. Suppose x*i - 7*i - 14 = 0. Suppose -j - 5*g = -28, -i*j + 20 = 3*g - 2*g. Calculate the lowest common multiple of 12 and j.
24
Let l(b) = -b**3 - 11*b**2 - 17*b + 17. Let g be l(-8). Let z = 47 - g. Let o = 110 - z. What is the least common multiple of 27 and o?
216
Let x = -15131523/446 - -33927. Calculate the common denominator of (153/198)/((-1)/(-3*2/2)) and x.
4906
What is the lowest common multiple of 122 and ((-315)/(-40))/(-63) + 2 + 85858/16?
5368
Let m = -2319/5 + 454399/980. Calculate the common denominator of m and -5/686.
1372
Let r(v) = -v**3 + 11*v**2 - 8*v + 5. Let n be r(9). Suppose -n*l = -105*l + 680. Calculate the lowest common multiple of l and 60.
1020
Let j = -82/573 + 3570037/5730. Let v = 277 - -348. Let k = j - v. Find the common denominator of 9/13 and k.
130
Let f be (28939614/8415)/((-12)/5). Let g = 12890/9 + f. Find the common denominator of g and -61/8.
408
Suppose 28 = 4*q - 2*q. Suppose -111 = 5*v - 41. Let z = -10 - v. What is the smallest common multiple of q and z?
28
Let u(x) = x - 24. Let n(w) = -1. Let t(r) = -3*n(r) + u(r). Let i be t(23). Calculate the least common multiple of 20 and 24/15 - i - 568/(-20).
140
Let h(i) = -61*i**2 + 434*i - 19. What is the lowest common multiple of h(7) and 114?
570
Let u = -133213/121932 - -94/1129. Calculate the common denominator of u and -89/10.
540
Suppose 0 = -9*t + 7 - 43. Let a(k) = 15*k + 71. Suppose 5*z - 25 = 0, -3*j + 18 = -j - 4*z. What is the lowest common multiple of j and a(t)?
209
Let b(s) = -19*s - 9. Let n be b(23). Let z = n + 448. What is the smallest common multiple of 86 and z?
86
What is the least common multiple of (8100/(-40))/(-45)*40/18 and 99?
990
Let t be 40/10*13/2. Let f = -21 + t. Suppose -62 = -f*d + 48. Calculate the least common multiple of 20 and d.
220
What is the common denominator of 65/189 and 528/(-24) - -26 - 17/4?
756
Suppose 77*w + 4*w - 44915 = 49369. Calculate the least common multiple of w and 1455.
5820
Suppose 2*g - 401 = 464 - 125. Calculate the least common multiple of g and 333.
3330
Calculate the common denominator of -125/2568 and (-7110)/288 + 11 + 13.
5136
Let l = 32 + -50. What is the smallest common multiple of (-1 - -4)/(-5*(-7)/35) and ((-66)/l - 4)/(2/(-12))?
6
Find the common denominator of ((-146)/(-111))/((-176)/33) and 47/370.
1480
Let k = -2009117/5 - -400356. Let t be -1477 + -1 + 6 + -5. Let x = k - t. Find the common denominator of 38 and x.
5
Calculate the smallest common multiple of 745 and (1152/24)/(-144)*(-446 - (2 + -1)).
745
Suppose 18*z = 17*z + 1890. Let i = -143625/76 + z. What is the common denominator of -91/8 and i?
152
Suppose -3*t + 5*p + 172 = 2, -2*t - 2*p + 124 = 0. Find the common denominator of 29/105 and (-106)/t - 44/(-55)*5.
210
Suppose 0 = 3*y - n - 16, -4*y + 3*n + 32 = 7*n. Calculate the least common multiple of (128/20)/(y - (-56)/(-10)) and 132.
528
Let u = 113 + -113. Suppose u = -l + 3*m + 2016, l + 3*m - 10026 = -4*l. What is the common denominator of l/924 + (-12)/42 and 59/16?
176
Let d(n) = -265789792161*n - 9. Let s be d(-3). Let r = s - 621546239482060891/779496. Let u = r - -2/32479. What is the common denominator of -67/6 and u?
24
Let o be (57/38)/(9/150). Find the common denominator of ((-30)/o)/(39/14) and -79/50.
650
Let u(a) = 12*a**3 - 51*a**2 + 18*a - 5. Calculate the least common multiple of 15 and u(4).
285
Suppose -398 - 1834 = -18*a. Let x = -2 + -1. Find the common denominator of x/(-6) - 85/a and 35/8.
248
Let s be 95/35 - ((-32)/(-28))/(-4). Calculate the common denominator of -107/10 and -3 - (s - (-402)/(-66)).
110
Let k be 9 - 9 - (-232)/28. Let t = -5/42 + k. Calculate the common denominator of -38/33 and t.
66
Suppose -17*p + 1907 + 5278 = 2170. Calculate the least common multiple of p and 115.
6785
Let u(v) = -4*v + 4. Suppose -4*l = -4*s, 0 = 5*s - 2*s + 12. What is the lowest common multiple of u(l) and (-24)/(-20) + 564/30?
20
Suppose -4*j + 1508 = g, 4*g - 4466 - 1414 = 3*j. Calculate the smallest common multiple of 24 and g.
2952
Let l be (3/(-9))/(-1*(-1)/(-18)). Let f = -4/375 + -4613/1125. Find the common denominator of 45/(-80)*(-20)/l and f.
72
Let v = 7414 + -7352. Let p(r) = -r - 1. Let j(t) = -10*t - 6. Let x(f) = j(f) - 2*p(f). What is the smallest common multiple of x(-3) and v?
620
Let j = 1 + 24. Suppose 5*p = -j, -2*p + 12 = -q - 15. Let h = q + 52. What is the least common multiple of 2 and h?
30
Let p(n) = n**3 - 3*n**2 - n. Let c be p(2). Let k(j) = -j - 22. Let u be k(-20). Find the common denominator of -91/82 and (u - c) + (-49)/6.
246
Suppose -4*z = -6*z - 8. What is the common denominator of (z/(-5) + 1)/((-2)/30) and -64/51?
51
Let n(m) = 0*m - 4 + 3*m - 1 - 8. What is the least common multiple of 0 - (-33 + 14 + -7) and n(7)?
104
Let z = -1/148067 + -3405461/11845360. Let y = 3946 + -78941/20. Find the common denominator of y and z.
80
Let m be -2 + (-5 - -13) + 2 - 3. Suppose 2*k - m*v = 7*k - 25, -20 = -3*k - 2*v. Let a = 27 + -17. Calculate the smallest com
|
{
"pile_set_name": "DM Mathematics"
}
|
2}.
4/55
Two letters picked without replacement from uqqqqquuruqr. Give prob of picking 1 r and 1 q.
2/11
Two letters picked without replacement from vwwwwawawvxvwivv. What is prob of picking 1 i and 1 w?
7/120
Calculate prob of picking 1 g and 1 p when two letters picked without replacement from mpprmgrzx.
1/18
What is prob of picking 1 u and 1 e when two letters picked without replacement from eseeeuussseeu?
3/13
Three letters picked without replacement from {k: 8, x: 1, f: 3, p: 3, z: 5}. What is prob of picking 1 z, 1 x, and 1 p?
1/76
What is prob of picking 2 n and 1 j when three letters picked without replacement from {n: 10, s: 4, j: 2, d: 1, f: 1}?
15/136
What is prob of picking 1 y and 1 s when two letters picked without replacement from yppyppyysypyyyyypyy?
4/57
Two letters picked without replacement from {l: 5, o: 1, g: 2, w: 1, x: 1}. Give prob of picking 1 x and 1 o.
1/45
Two letters picked without replacement from {b: 2, o: 3, s: 1, v: 6}. Give prob of picking 2 o.
1/22
Two letters picked without replacement from eeqoeenooeo. Give prob of picking 1 e and 1 o.
4/11
Three letters picked without replacement from {w: 1, k: 1, r: 1, d: 6, t: 3, p: 1}. Give prob of picking 1 w, 1 r, and 1 d.
3/143
Two letters picked without replacement from {x: 6, j: 6, z: 4, d: 1}. What is prob of picking 1 d and 1 z?
1/34
What is prob of picking 1 l and 1 r when two letters picked without replacement from leqrk?
1/10
Two letters picked without replacement from zuicidtzzizdiidddzt. Give prob of picking 1 z and 1 c.
5/171
Four letters picked without replacement from ddddddddddeyyd. Give prob of picking 2 y and 2 d.
5/91
Two letters picked without replacement from {t: 1, h: 2, x: 1, u: 2, i: 2}. Give prob of picking 2 h.
1/28
Calculate prob of picking 2 e when two letters picked without replacement from ejejjquueueuuuej.
1/12
Three letters picked without replacement from {p: 1, u: 1, a: 2, w: 2}. Give prob of picking 1 a and 2 w.
1/10
Four letters picked without replacement from {s: 16, r: 1, m: 3}. What is prob of picking 2 s, 1 r, and 1 m?
24/323
Two letters picked without replacement from akkaaaaaaa. What is prob of picking 2 a?
28/45
Two letters picked without replacement from {y: 4, u: 4, g: 3, w: 5}. What is prob of picking 1 y and 1 g?
1/10
Four letters picked without replacement from pvpvpvvppvvvvvvvvv. What is prob of picking 2 p and 2 v?
13/51
What is prob of picking 3 k when three letters picked without replacement from {q: 9, h: 1, k: 10}?
2/19
Two letters picked without replacement from ssskfksfl. Give prob of picking 2 f.
1/36
Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fllfkolfkkk.
9/55
Four letters picked without replacement from {w: 2, e: 6, j: 3, c: 2}. What is prob of picking 2 e, 1 j, and 1 c?
18/143
Two letters picked without replacement from {a: 2, z: 15, q: 3}. What is prob of picking 2 z?
21/38
Calculate prob of picking 1 k and 3 y when four letters picked without replacement from kkkiyiyjyykkykyvyk.
49/612
Two letters picked without replacement from {m: 2, s: 2, e: 5}. What is prob of picking 1 m and 1 e?
5/18
Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {w: 1, f: 1, p: 2, h: 1, z: 1, c: 1}.
2/21
Two letters picked without replacement from kkkryptkk. Give prob of picking 1 k and 1 t.
5/36
Calculate prob of picking 2 r when two letters picked without replacement from ggrrrr.
2/5
Calculate prob of picking 2 z, 1 p, and 1 g when four letters picked without replacement from {p: 3, z: 2, r: 1, g: 1, f: 3}.
1/70
Four letters picked without replacement from jajjjaj. Give prob of picking 2 a and 2 j.
2/7
What is prob of picking 1 a and 1 p when two letters picked without replacement from zzpappwazzwazpa?
16/105
What is prob of picking 1 t, 1 e, and 1 w when three letters picked without replacement from {t: 5, s: 1, w: 5, e: 1}?
5/44
Two letters picked without replacement from xxx. What is prob of picking 2 x?
1
Two letters picked without replacement from {y: 1, x: 1, u: 1}. What is prob of picking 1 y and 1 u?
1/3
Four letters picked without replacement from {t: 4, w: 4, o: 7}. Give prob of picking 1 o and 3 t.
4/195
What is prob of picking 2 p when two letters picked without replacement from {g: 6, p: 2, i: 5}?
1/78
Two letters picked without replacement from ffdwwfw. Give prob of picking 1 w and 1 f.
3/7
What is prob of picking 2 t when two letters picked without replacement from ttbttbtt?
15/28
What is prob of picking 2 b when two letters picked without replacement from bbbbbbb?
1
What is prob of picking 1 i, 2 b, and 1 d when four letters picked without replacement from {i: 2, b: 2, d: 1}?
2/5
Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {g: 2, m: 7}.
7/18
Two letters picked without replacement from vfgtffgrfvtfgg. What is prob of picking 1 t and 1 r?
2/91
Three letters picked without replacement from {k: 1, x: 1, f: 4, o: 1, m: 1}. Give prob of picking 3 f.
1/14
What is prob of picking 2 t when two letters picked without replacement from mttmmttmttmmtmmm?
7/40
Four letters picked without replacement from {u: 3, j: 5, d: 1, v: 3, h: 7}. What is prob of picking 1 d, 1 u, and 2 h?
21/1292
Three letters picked without replacement from {e: 5, n: 3}. What is prob of picking 3 e?
5/28
Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {c: 5, q: 1, w: 1, d: 2, e: 3}.
3/220
Four letters picked without replacement from {g: 1, l: 11, n: 3, o: 1, h: 3, p: 1}. Give prob of picking 3 n and 1 o.
1/4845
Calculate prob of picking 1 h and 1 r when two letters picked without replacement from hrrrhrhrrrhrhhrh.
21/40
What is prob of picking 2 e, 1 y, and 1 g when four letters picked without replacement from ggggegggygegggygyyy?
5/323
What is prob of picking 4 b when four letters picked without replacement from {v: 11, b: 5}?
1/364
Three letters picked without replacement from {q: 2, p: 5, v: 4}. What is prob of picking 1 q and 2 v?
4/55
What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 1, j: 3, c: 2, d: 1, y: 4}?
1/55
Three letters picked without replacement from {p: 1, a: 7, q: 9, r: 1}. Give prob of picking 3 a.
35/816
What is prob of picking 1 z and 1 n when two letters picked without replacement from knnzxklz?
1/7
Two letters picked without replacement from {h: 2, v: 1, k: 1, b: 4, y: 2, t: 2}. Give prob of picking 2 b.
1/11
What is prob of picking 2 i and 2 w when four letters picked without replacement from {w: 4, i: 2}?
2/5
Calculate prob of picking 1 a and 2 y when three letters picked without replacement from iaiiyyiaiiaiyay.
24/455
Four letters picked without replacement from eghhhgg. What is prob of picking 2 h, 1 e, and 1 g?
9/35
Two letters picked without replacement from wwqmwssywwsssqsrs. Give prob of picking 2 w.
5/68
What is prob of picking 3 g when three letters picked without replacement from vgvvggvgggvg?
7/44
Two letters picked without replacement from {b: 12, a: 7}. Give prob of picking 2 b.
22/57
Three letters picked without replacement from {j: 1, c: 2, m: 3, a: 1, i: 5, r: 1}. What is prob of picking 1 m, 1 c, and 1 j?
3/143
Calculate prob of picking 1 y and 1 h when two letters picked without replacement from apxphanny.
1/36
What is prob of picking 4 a when four letters picked without replacement from qqaaaqqaqaqqaaqqqqq?
35/3876
What is prob of picking 1 h, 1 q, and 1 o when three letters picked without replacement from {q: 1, o: 2, h: 1, m: 1, c: 4}?
1/42
What is prob of picking 1 b and 1 z when two letters picked without replacement from wzmbzhz?
1/7
Three letters picked without replacement from dldlddqdqqlq. Give prob of picking 2 l and 1 d.
3/44
What is prob of picking 2 d when two letters picked without replacement from eqqhqhhqodohdqq?
1/105
Four letters picked without replacement from snzsmjjmsm. What is prob of picking 1 m, 1 n, and 2 s?
3/70
What is prob of picking 3 r when three letters picked without replacement from {z: 1, h: 1, r: 1}?
0
Three letters picked without replacement from {z: 2, e: 1, t: 1, c: 3, m: 7}. What is prob of picking 1 m, 1 z, and 1 e?
1/26
Calculate prob of picking 2 v and 1 u when thre
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*v - m + 4*m + 8 = 0, v = 2*m - 4. Calculate the remainder when v is divided by s(7).
0
Suppose -b = 2*s - 33, -4*b - s - 121 = -9*b. Calculate the remainder when 74 is divided by b.
24
What is the remainder when (2 - (-106)/1) + 17/17 is divided by 40?
29
Let j(x) = -x**3 - 10*x**2 + 4*x - 41. Calculate the remainder when 137 is divided by j(-11).
29
Let q = 880 + -865. What is the remainder when 205 is divided by q?
10
Let w = 47 + -35. Suppose n = 4*x - 44, -3*n - w = -x + 10. What is the remainder when 15 is divided by x?
5
What is the remainder when 48 is divided by 5029/141 - (-2)/(-3)?
13
Calculate the remainder when 34 is divided by ((-34)/(-4))/(7*1/14).
0
Let i(y) = -2*y**2 + 6*y + 1581. Calculate the remainder when i(0) is divided by 7.
6
Let y = 447 - 428. Calculate the remainder when 49 is divided by y.
11
Let s = -38 - -53. Let d = 17 + s. Suppose -2*y + d = -2. Calculate the remainder when 49 is divided by y.
15
Let z be 13*-6*10/15. Calculate the remainder when 17 is divided by z/(-6) + ((-119)/21 - -6).
8
What is the remainder when 189 is divided by 18/((9/4)/(21 - 15))?
45
Suppose 40 = -2*i - 3*i. Let j = i - -12. Let m = -9 - -16. What is the remainder when m is divided by j?
3
Let k = -97 + 186. Let v = k - 46. Suppose 98*u - 15 = 97*u. What is the remainder when v is divided by u?
13
Suppose -6*w = 11*w - 833. What is the remainder when w is divided by 4?
1
Calculate the remainder when (92/115)/(2/140) is divided by 34.
22
Let t(p) = p**3 + p**2 + p + 1. Let z be t(4). Suppose -23*c - z = -28*c. Calculate the remainder when 59 is divided by c.
8
Let d(s) = -s + 1. Let l(q) = -66*q + 22. Let m(k) = 33*d(k) - l(k). What is the remainder when m(4) is divided by 29?
27
Suppose -4 + 54 = -5*n. Let m = n - -28. What is the remainder when m is divided by 7?
4
Let u = -4 + 61. Suppose 2*n + 7 = u. Calculate the remainder when n is divided by (-56)/(-4) - 2/2.
12
Suppose 0 = 4*g + z - 179, 2*g = -5*z + 80 - 13. What is the remainder when g is divided by 16?
14
Suppose 0 = -49*k + 3*k - 24 + 944. Suppose 3*h + 5*g - 314 = 0, -g = 4*h - 182 - 214. Calculate the remainder when h is divided by k.
18
Suppose 3*j - 395 = 5*k, 0*j - 3*k + 647 = 5*j. Suppose p + j = 6*p. Calculate the remainder when p is divided by (2 - 26/4)*-2.
8
What is the remainder when 416 is divided by 145/(-10 - (-20 - -9))?
126
Let d(c) = 5*c**3 - 3*c**2 + 17*c - 26. What is the remainder when 464 is divided by d(2)?
32
Suppose -10*o + 1882 = -2578. What is the remainder when o is divided by 28?
26
Let m be (-3)/((60/(-8))/(-5)). Let j be 2/(-4)*m*12. Calculate the remainder when 13 is divided by j/(-24) + (-34)/(-4).
5
What is the remainder when 10/(-8) + -5 + 5071/44 is divided by 43?
23
Suppose 5*p - 2*w = 128 + 45, -4*p + 3*w + 137 = 0. Let k = 32 - 31. Calculate the remainder when p is divided by (k - -21) + 4/(-1).
17
Let w(j) = -j**3 + 20*j**2 - 37*j + 107. What is the remainder when w(18) is divided by 23?
20
Let h(v) = -v**3 + 3*v**2 + 6*v - 6. Let o be h(4). Let a(d) = 3*d + 28 + d**o - 5*d - 35. Calculate the remainder when a(6) is divided by 5.
2
Let p = 1061 - 920. Calculate the remainder when p is divided by 3.
0
Let d(r) = r**3 - 11*r**2 - 59*r + 17. What is the remainder when d(15) is divided by -1 + 1*1*13?
8
Calculate the remainder when (1 + 141)*(-3 + 6)/6 is divided by 15.
11
Let n be (3 + -4)/((-2)/390). Let o be n/12 + (-2)/8. Let s = o - -107. Calculate the remainder when s is divided by 31.
30
Let j(h) = 10*h - 1. Suppose g - 18 = 3*g. Let c = 15 - g. What is the remainder when c is divided by j(1)?
6
Suppose 2*b + 16*b = 3888. What is the remainder when b is divided by 31?
30
Let w(o) = o + 110. What is the remainder when 260 is divided by w(17)?
6
Suppose 4*j - 137 + 50 = -p, -5*j + 2*p = -99. Let o be -2*(2 + (-28)/(-8)). Let l = o + j. What is the remainder when 29 is divided by l?
9
Let d = -219 + 301. Calculate the remainder when d is divided by 29.
24
Let o = 97 - 146. Let k = 77 + o. Calculate the remainder when 54 is divided by k.
26
Let l(x) = -x**3 - 20*x**2 - 24*x - 35. What is the remainder when l(-19) is divided by 7?
4
Let h = -437 - -446. What is the remainder when 510 is divided by h?
6
Suppose 0 = 3*w + 5*r - 289, -3*w = -2*w + 4*r - 87. Let c be -4 - (-3 - -1) - 24. Calculate the remainder when w is divided by (c/(-4))/(2/8).
25
Let r(i) = 108*i**3 + i**2 + i - 1. Let z be r(1). Suppose 0 = -17*c + 18*c - 154. Let p = c - z. Calculate the remainder when p is divided by 16.
13
Let d(x) = 3*x - 9. Suppose -5*a + 460 = -m + 4*m, 3*a - 2*m = 295. Calculate the remainder when a is divided by d(11).
23
Let w(t) = -5*t**3 - 10*t - 20. Calculate the remainder when w(-3) is divided by 34.
9
Suppose 25*l - 2313 = 412. Calculate the remainder when 189 is divided by l.
80
Let l = 23 - 15. Suppose 17 = l*g - 63. What is the remainder when 1/3 + 94/6 is divided by g?
6
Let c(y) = 2*y**2 - 2*y + 10. Suppose o + 5*p = -13, -3*p - 2 = 3*o - 11. Let q be c(o). Let k = q + -60. What is the remainder when k is divided by 12?
10
Suppose 5*j = v - 76, 4*v - 5*v + j = -64. Calculate the remainder when 121 is divided by v.
60
Let q = -58 - -60. Calculate the remainder when 29 is divided by q.
1
What is the remainder when 725 is divided by (-6*(-2)/(-10))/(6/(-260))?
49
Let w(h) = h**2 - 13*h - 317. Let q = 254 + -150. Calculate the remainder when q is divided by w(-13).
20
Let g(t) = 8*t**3 + 2*t**2 - t. Let a be g(1). Suppose 0*d - a = -d. Suppose 3 = 12*m - 57. Calculate the remainder when d is divided by m.
4
Let u = -358 + 368. What is the remainder when u is divided by 6?
4
Calculate the remainder when 87 is divided by (-242)/(-8) - (24/(-32) - -1).
27
Let k = 132 - 116. What is the remainder when 371/3 + (-28)/42 is divided by k?
11
Suppose -t + 17 = 12. Let l = t + 15. What is the remainder when l is divided by -1*11*-1 - 0?
9
Suppose y + 2*y + 3*l = 279, -l + 469 = 5*y. Suppose -4*n - 40 = -z, -3*z + 88 = -8*n + 4*n. Calculate the remainder when y is divided by z.
22
Suppose -5*b + 1872 = 2*s - 897, b - 4*s - 567 = 0. What is the remainder when b is divided by 140?
135
Let r(m) = -6*m**2 + 14*m - 24. Let t(c) = -7*c**2 + 13*c - 24. Let o(y) = -6*r(y) + 5*t(y). What is the remainder when (-1 + -1)*(-2 + -2) is divided by o(18)?
2
Suppose -4*n = -y - 2373, -23*y = -5*n - 20*y + 2975. Calculate the remainder when n is divided by 7.
4
Suppose 2*g + 922 = 5*i + 3230, -2*g + 8 = 0. Let h be i/(-45) - (-6)/(-27). Suppose -14*d = -h*d - 52. What is the remainder when d is divided by 8?
5
Let v(s) = -7*s + 45. Calculate the remainder when v(1) is divided by 7.
3
Suppose 0 = -3*f - c + 81, -4*f + 0*c - 2*c = -106. What is the remainder when ((-110)/(-4))/(1/2) is divided by f?
27
Suppose -6*y + 10*y - 3*p = 796, -3*p = 2*y - 416. Calculate the remainder when y is divided by 20.
2
Suppose -8*f = -59 + 3. What is the remainder when 23 is divided by f?
2
Suppose 0 = 6*n - 96 + 66. What is the remainder when 46 is divided by n?
1
Let y be 1*-6*(-5)/15. Suppose 3*w + y*w = j + 572, -4*j = -12. Calculate the remainder when w is divided by 29.
28
Suppose -4*u = -70 - 6. Suppose 3*x - 3*d + 6 = 39, 50 = 5*x - 4*d. Calculate the remainder when u + 1*(-1 + -1) is divided by x.
5
Let r(g) = -g**2 - 10*g - 15. Let o be r(-9). Calculate the remainder when 82 is divided by (5 + o + -5)*7/(-2).
19
What is the remainder when 99 is divided by (-30)/15 - (0 - 12)?
9
Suppose 0 = -g - 4*g + 15, -293 = -4*a + 5*g. Let j = 138 - 98. Suppose 0*z = -2*z + j. What is the remainder when a is divided by z?
17
Let g = 75 + -40. Suppose -28 = -4*s - 12. Suppose 8 = -s*p + 88. What is the remainder when g is divided by p?
15
Let t = -172 - -248. Calculate the remainder when t is divided by 23.
7
What is the remainder when (-7)/(12/21 + 139/(-231)) is divided by 78?
75
Suppose -24*z + 3*t + 27 = -21*z, -2*z - 5*t = -18. What is the remainder when 206 is divided by z?
8
Let z(b) = -5*b + 34. What is the remainder when 215 is divided by z(-4)?
53
Let k(m) = m**3 - 12*m**2 + 14. Let a be k(12). Suppose 5 = 5*j, 5*p - a - 9 = 2*j. Calculate the remainder when -4*(0 - p) + 3 is divided by 6.
5
Let a = -1621 + 1638. Calculate the remainder when 42 is divided by a.
8
Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
t z be f(17). What is the nearest to 0.1 in 2, z, 2/7, 0.201?
z
Let s(v) = v**2 - 16*v + 6. Let x be s(16). Suppose -4*j + x = -2. Let k = -0.6 - -1. Which is the closest to -2? (a) k (b) j (c) -2/11
c
Let z = 9.32 - 9.3. Which is the closest to 0.1? (a) 5 (b) z (c) 2/7 (d) 1
b
Let x = -1/203 + -199/812. Which is the nearest to x? (a) -4 (b) 1 (c) -0.5
c
Let g = 0.69 + -5.69. Let q be (-2)/(-4)*12/(-14). Which is the closest to 21? (a) -0.2 (b) q (c) g
a
Let h be 7/((-1470)/222) + (-12)/(-14). Let j = -0.4 + 0. Which is the nearest to -1/2? (a) -5 (b) h (c) j
c
Let o = 48 - 47. Let n = 2.97 + 0.03. Which is the nearest to 1? (a) -2 (b) o (c) n
b
Let y = -1.3 - 0.7. Let k = 2 - y. Let z = -0.1 - -1.1. What is the nearest to z in -0.5, 0.5, k?
0.5
Let l = 10.6 + -28.4. Let s = l + 12.8. What is the nearest to -0.1 in -4, -4/15, s?
-4/15
Let w be ((-55)/(-100) + 2/10)/1. What is the closest to 1 in -0.4, 16, w?
w
Let v be (-14)/6 + 21/63. Let n be 26/12 - ((0 - -5) + v). Which is the closest to n? (a) 3/5 (b) 2 (c) 0.2
c
Let l = -0.74 - -0.54. Which is the closest to 4? (a) l (b) 4/7 (c) 5
c
Let w = -20/3 + 22/3. Let u = 29.5 + -44. Let r = u - -15. Which is the closest to w? (a) 0 (b) r (c) 2/3
c
Let l = 39 - 38. Let k be l - (-2 + (-52)/40*-2). Which is the nearest to 2? (a) 4 (b) -5 (c) k
c
Let h be 3/2 + 15/10. Let i(t) = -5*t**2 - 3*t**2 - t**h - t + 7*t**2. Let v be i(0). Which is the closest to 2? (a) -0.3 (b) 1 (c) v
b
Let d = 237/4 - 59. Let x = 0.032 + -3.032. What is the closest to 0 in -1/3, x, d?
d
Suppose 4*i - 85 = -93. Let h be (-1 + i + 5)/(3 + -11). What is the nearest to h in 10, 5, -1?
-1
Let k = 0.19 - 0.39. Let a be 0/(-5 - (-2 + 2 - 3)). What is the closest to a in k, 1, -1/4?
k
Let y = 0.33 - -0.07. Let g be (40/14 - -3)/1. Let x = -43/7 + g. What is the nearest to -1 in y, x, -2/3?
-2/3
Let f = 426 - 426. Which is the nearest to 1? (a) -2 (b) 0.4 (c) f
b
Suppose -5*n = -4*t + 3*t + 45, 5*t - 4*n = 120. Suppose 5*u + 4*g = 5*g - 5, -4*g + t = 0. Which is the nearest to u? (a) 0.5 (b) 0 (c) -8
b
Let p = -3.093 + -14.917. Let k = p + 18. Let o = -53 + 52. What is the nearest to o in -4, -5, k?
k
Let s = -133/10 + 29/2. Suppose p + 3*t - 15 = 7*t, -5*t - 3 = 4*p. Which is the nearest to -1? (a) 0.4 (b) p (c) s
a
Let m = 2.9 + -2.4. Let z = -2 + 1.9. Let a(g) = g**3 + 8*g**2 + g + 9. Let p be a(-8). What is the closest to p in -0.5, m, z?
m
Let w = -1 - -1. Let z = 4.27 + -2.27. Let d = -101/3 - -34. Which is the closest to d? (a) w (b) -1 (c) z
a
Let r = 0.76 - 1.76. Let i = -19 - -26. What is the closest to r in 0.2, i, 5?
0.2
Let t be (99/(-132))/(6/(-4)). Which is the closest to t? (a) 2 (b) 5 (c) -7/8 (d) -0.1
d
Let i = -1072.5 - -1072. What is the closest to 0.1 in -0.4, 5, i, 19?
-0.4
Suppose -8*u = -4*u + 12*u. Which is the nearest to u? (a) -1.8 (b) 4/7 (c) -2
b
Let t = 4 - 4.2. What is the closest to -0.1 in 1/6, 2/5, t, -1/6?
-1/6
Let l = 908 + -912. What is the closest to 0.14 in -2/3, l, -2, -0.4?
-0.4
Let q(l) = 2*l**3 + 9*l**2 + 2*l - 8. Let s be q(-4). Suppose s = 6*h - 8*h. Which is the nearest to h? (a) -0.06 (b) -2/13 (c) 2
a
Let t = 9 - 8.8. Let n = 1.3 - t. Let s = n - 0.8. Which is the nearest to 2/5? (a) s (b) -2 (c) -0.5
a
Let w(q) = -34*q + 3. Let o be w(0). What is the closest to -1/4 in -2/15, -13, o, 0.3?
-2/15
Let a = -0.57 - -0.57. Suppose 2*b - k + 5 = b, 9 = -b + 2*k. What is the nearest to 0.1 in b, a, -0.2?
a
Suppose -3*h + 70 - 235 = 0. Let z = -50 - h. Which is the closest to 1? (a) 1.6 (b) 0.1 (c) z
a
Let r = 0.162 - -0.138. Let q = -11.96 + 12. Let v = -1.04 + q. Which is the closest to 0.1? (a) 2 (b) r (c) v
b
Let d be 53/2 - (-2 - 9/(-6)). Suppose 22*v - d*v = 60. What is the closest to -1/3 in v, -1, -0.3?
-0.3
Let y = -6 - -5. Suppose -5*x + 385 - 35 = 0. Let z = x + -488/7. Which is the closest to y? (a) -1/3 (b) z (c) 4
a
Let d be (3/(-6) + 2)*-8. Let o be (-13 - d)*(-2)/((-4)/(-10)). Which is the nearest to -1/3? (a) -2 (b) o (c) -0.32
c
Suppose 19*s - 38 = 38. What is the nearest to 3/8 in 5, -3, s?
-3
Let g be (12/(-8) - 0)*(-6)/(-18). What is the closest to g in -0.2, -73, 1/5?
-0.2
Let l be (-3)/(-8)*-2*6/18. Let t = -15/4 + 87/20. What is the closest to -2/3 in 4, t, l?
l
Let m = -33 + 52. Let y = -15 + m. Which is the nearest to 2? (a) -2 (b) y (c) 2
c
Let d = -2740/3 - -912. What is the closest to -0.1 in 0, -2/25, d, -4?
-2/25
Let t = -1 + 1.02. Let n = t + -0.42. Let p = 4138 - 37240/9. What is the closest to p in -0.2, n, 6/11?
6/11
Let q = -1.2 - 17.8. Let a = q + 11. Let u = a + 7. What is the closest to -1/4 in -1/2, 0.3, u?
-1/2
Suppose 0 = -2*z + 8, -y + 2*y - 4*z = -17. Let u = 0 - -4. Let x = 18.04 + -19.04. Which is the closest to y? (a) u (b) x (c) 0.2
b
Let z = 155 + -156. Let q = -133/4 - -33. What is the closest to z in -2, q, -3?
q
Let s = -283 + 278. Which is the closest to -2/5? (a) 3 (b) 13 (c) s
a
Let r = 3.35 - -12.75. Let y = 16 - r. Suppose 3*i + 6 = -2*f - 1, i - 5*f - 9 = 0. Which is the closest to y? (a) 2 (b) -4 (c) i
c
Let k = -19 + 8. Let t = k - -12. Which is the closest to 1? (a) t (b) 5 (c) 1/13
a
Let k be -2*((-7)/4 + (-7)/28). Let l = -13.2 + 15. What is the closest to l in -1/2, k, -4?
k
Let n = -3.403 - -0.403. What is the closest to -1.2 in 10, -1, 4, n?
-1
Suppose -4*o + 25 = o. Suppose -3*l = -o*l. Let w = l - -3. Which is the closest to -2/7? (a) 0.4 (b) w (c) 0
c
Let y = -1 + 4. Let o = 2.76 - 2.8. Let i = o + -0.06. What is the closest to -3 in y, i, -1/4?
-1/4
Let n = 28.15 - 28.35. Let y = -3.1 - -0.1. What is the nearest to n in y, -5, 2/9?
2/9
Let d be (-42)/110 + (-48)/(-15) + -3. Let x = 0 + -0.3. Which is the nearest to d? (a) -2 (b) -4 (c) x
c
Let q = -1556 + 1557. What is the nearest to 0.1 in 11/5, 0.3, q, -1?
0.3
Let p = -22 - -18. Let l = p - -7. Let n = -33 - -38. Which is the closest to 0? (a) l (b) 5/6 (c) n
b
Let n = 1.908 + -1.708. What is the closest to -7 in n, -2, -3?
-3
Let w = -278.1 - -278. Let u = 0.5 - 0.1. What is the closest to 2 in w, u, 2?
2
Let r = 55/69 + -3/23. Which is the nearest to -2? (a) 5 (b) 93 (c) r
c
Let y be (-3)/2*(-4)/(-24). Suppose 5*r + 11 = -h, 3*r - 4 = -r - 4*h. Let v = -502 - -502.2. Which is the closest to v? (a) y (b) r (c) -0.4
a
Let v = 19255/16494 - 2/2749. What is the closest to 1/3 in 0.1, -13, -1, v?
0.1
Let t = 0 + -0.2. Let y be (((-3)/1)/3)/((-1)/2). Let o be (12 + -4)/(-56)*-2*y. What is the closest to 3 in t, o, -0.5?
o
Let y = -1.8 - -2.5. Let m = 1 - y. Let h(s) = -3*s + 35. Let n be h(11). Which is the closest to n? (a) m (b) -2/3 (c) 1
c
Let u = 3.83 - 4.03. What is the nearest to 2 in 1, -54, 0.4, u?
1
Let w = -1741/2 + 870. Let a = 0.016 + 0.294. Let n = 0.01 - a. What is the closest to w in 6/11, 0, n?
n
Let h = 45 - 44. What is the closest to h in -1/4, 0.5, 2/9?
0.5
Let f = -0.9 + -0.1. Let d = 70 - 71. Let h be 260/70 + (-5 - d). What is the closest to 1 in 1, h, f?
1
Let q = -16.7 - -17.7. Let u = 79/9 + -1519/171. Which is the nearest to -1? (a) u (b) -6 (c) q
a
Let x = -0.95 + 1. Let i = -4.66 + 4.56. What is the nearest to -0.2 in x, 5, i?
i
Let l = -625 + 626. Let k = 5.13 - 0.13. What is the closest to 0.1 in k, l, -3?
l
Let w = -22 - 29. Let o = -50 - w. What is the nearest to -2/3 in 1/7, -5, o?
1/7
Let o = -50 - -55. Let r(q) = -q**2 + 4*q + 1. Let h be r(o). What is the closest to 1 in h, -0.4, 3?
-0.4
Let n = -16.3 - -16. Let k(a) = -a**2 - 2*a + 2. Let v be k(4). Let o = -22 - v. What is the nearest to n in 2, 1/5, o?
o
Let v = -125 + 137. Which is the closest to v? (a) 3/7 (b) -4 (c) 1/2
c
Let v(x) = x**3 + 21*x**2 - 52*x - 141. Let s be v(-23). What is the closest to 2 in 3/5, 2, s, 0.04?
2
Let l(n) = -n**2 + 6*n - 4. Let f be l(4). Let k = -199 + 195. Let h be (-1 + 3)/(0 + -7). What is the closest to -0.1 in k, f, h?
h
Let u(z) = -6*z + 13. Let a be u(3). What is the nearest to 0.2 in -1, 42, a, -4?
-1
Suppose -2*j = -4 - 52. Let w be 25/j + 1/(-7). What is the closest to 0.1 in 1/5, w, 1?
1/5
Let j = 137 - 120. What is the nearest to -1 in j, 1, -0.5?
-0.5
Let f = 674 + -677. What is the closest to -7 in 9, f, -0.2?
f
Let z be (24/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve 3*d = -4*a - 25, 8*a - 31 = 38*a - 4*d + 51 + 26 for a.
-4
Solve -5*j + 7*j + 3*y + 31 = 0, 0 = -2*j - 3*y + 5*y + 24 for j.
1
Solve 4*j - j = 7*j - 0*j + 6*u - 38, -21*j = -u - 37 for j.
2
Solve -4*u + 0*u + 20*l + 76 = 0, -24*u - 10*u - 74 = -36*u - 2*l for u.
34
Solve -a + n + 1889 - 1914 = 0, 0 = a - 111*n - 415 for a.
-29
Solve -2*g - 26 = 2*f - 0*f, 4798*f + 422 = 4793*f - 56*g for f.
-6
Solve 13*q + 7*q - 4*y + 8 + 7 = -14*q + 34*q - 1, 2*y = q for q.
8
Solve -2*q - 26 = 691*v - 692*v, -v - 6 = -10*q for q.
4
Solve -1308*y - 5*q - 1677 = -1253*y + 488, -2*y + q = 74 for y.
-39
Solve 4*o - 2*o = -4*f - 24, -47*o + 1284*f = 1280*f - 122 for o.
2
Solve 6*y + 6 = -5*c + 2*y, -22*c + 3*y + 2 = -25*c - 4 for c.
2
Solve 3*i = 3*m + 27, -10*m + i + 63 = -46 + 118 for m.
0
Solve -28276 = g - w - 28263, 2*w = -4*g - 40 for g.
-11
Solve -6*p + 192917 = -p - 2*g + 192913, -28 = 4*g for p.
-2
Solve -5*b = -677217 + 677122, c - 96 = -5*b for c.
1
Solve -5*w + 160*h - 340*h - 25 = -178*h, -2*w - 3*h = -1 - 0 for w.
-7
Solve -2*y - a - 11 = 0, 2*y + 4*a - 28504 + 28542 = 0 for y.
-1
Solve -70887 + 70770 = -i + 8*o, 0 = 2*i + 2*o + 36 for i.
-3
Solve -3*s = 3*v + 18, 14101*v - 24 = 14105*v + 2*s for v.
-6
Solve -k = -c - 4*k - 30, 85*k = 5*c + 86*k + 122 for c.
-24
Solve 5*c - 32 = 102*t, -3 - 47 = 5*c + 3*t + 23 for c.
-14
Solve -4*f - 831 + 924 = -15*w, -4*w - 2*f - 11 = 23 for w.
-7
Solve 12*z + 2*z - 3*t + 0*t = 4*z + 55, -27*t = 5*z + 115 for z.
4
Solve -1382*z + 1376*z - 18 = -2*a, -a - 3 = 3*z for z.
-2
Solve 1809*q - 1801*q - 2*n - 34 = 0, q - 5*n = 104 for q.
-1
Solve 2*g - 2*g - 5*g = -m - 20, 0 = -88*g + 86*g - 6*m + 8*m for g.
5
Solve 8 = -15*q + 10*q + 3*n + 1, 23*q + 4*n = 39 for q.
1
Solve 4*x = -3*j + 81, -188*j + 2*x + 137 = -225*j for j.
-5
Solve 100*f + 124*f + 112 = 228*f - 0*y + 2*y, 2*f - 56 = 4*y for f.
28
Solve 19*a - 8 = 12*a + 9*a, 0 = 5*y - 61*a - 234 for y.
-2
Solve 2*q - 24 = -p, -4*p = q - 59407 + 59381 for q.
10
Solve 2*w + 5*n - 50 = -4*w - 8*n, -4*w + 3*n = -10 for w.
4
Solve u + 3*r = 41, -504*u = -505*u + 3*r + 23 for u.
32
Solve -5*k + 5*h = -111666 + 111641, -5*k = -3*h - 7 for k.
-4
Solve -20 = 4*t + z, -56*z + 34 = t - 59*z for t.
-2
Solve -2*x + b + 11 = 0, 12*x - 2*b + 16058 = 16080 for x.
0
Solve -160 = -5*v + 5*c, 7 + 16 = -2*v - c for v.
3
Solve 141*i - 18056 = -4*j, -727 + 219 = -4*i + 2*j for i.
128
Solve 0 = -2*o - 879 + 889, -4*o + 18 = -n for n.
2
Solve -u - 5*n = 2*u - 44, n + 494 = u + 490 for u.
8
Solve 0 = 5*v + 3*y - 58, 5*v - 3*y + 410 - 402 = 0 for v.
5
Solve -432 = -6*w + 5*p - 470, -2*p = w - 4*w - 7*p - 34 for w.
-8
Solve -4*m - 66832*a + 66831*a - 106 = 0, 3*m - 5*a + 68 = 0 for m.
-26
Solve 4*k + 220 + 313 - 430 = 5*g, 4*g = -2*k + 20 + 52 for g.
19
Solve -1661*y - 2*j = -1658*y - 185, 0 = -3*y - 6*j + 177 for y.
63
Solve 5*j + 125 = 0, -394*y + 67 = -396*y - 3*j for y.
4
Solve -27*w + i - 4*i + 39 = 15, 0 = -3*w + 3*i + 6 for w.
1
Solve 645*u = 644*u - c - 13, -2*u = -c + 29 for u.
-14
Solve 6*m + 3 = 7*m - 5 - 1 + 4, 4*w + 6*m - 50 = 0 for w.
5
Solve -y + 21 = 4*f, -4*f - 6888718 = -4*y - 6888694 for y.
9
Solve 2*t + 526 = -2*z + 1084 - 548, -8*z + 15 = -4*t - 27 - 34 for t.
-3
Solve -14 = -4*q - 2*n + 3*n, 2*q - 26 = 9*n + 32 for q.
2
Solve -54*c + 110*c + 2*l = -888, c - 2*l = -12 - 12 for c.
-16
Solve 0 = 23*i - 3*t + 187, -814*t = -3*i + i - 809*t - 21 for i.
-8
Solve -9*s = 5*u - 161, 107*s = u + 103*s + 78 for u.
-2
Solve -5*z - 10*z = 11*z - 16*z - 5*i + 75, -z = -5*i + 30 for z.
-5
Solve -8*b - 11 = -3*f, -3*f - 2*b + 85 = 84 for f.
1
Solve 18 = -12913*y + 12911*y - 2*a, 0 = -2*y - 3*a - 23 for y.
-4
Solve -4195261 + 4195195 = 5*c + 4*u, -c - 5*u = 51 for c.
-6
Solve 4*v = 5*g - 0*v + 15, -g + 85*v - 531*v = -134*v + 435*v + 3742 for g.
-7
Solve -4*b - 8*a - 4*a + 130 = b, 3*b - 20*a - 10 = -68 for b.
14
Solve -4*k = -5*i - 35, -i - 908*k - 173 = -942*k for i.
-3
Solve -6*x + 29*r - 13 = -11*x + 26*r, -5*x - 73*r = -83 for x.
2
Solve 3*x - 746922 + 746994 = 3*p, 2*x - 4*p = -104 for x.
4
Solve -1960376*x + 1960377*x + 3*n = 37, -93 = -4*x - n for x.
22
Solve -2*o - 3*c = 69 - 87, 0 = 4*o - c - 8 for o.
3
Solve 4*s = 3*c + 2*c + 51, s + 18 = 39 - 12 for c.
-3
Solve 205 = 5*n + 5*k + 70, 0 = 4*k - 19*k + 10*k + 25 for n.
22
Solve -41*h + h + 26*h + 39 = 3*s - 4*s - 27*h - 21*h, 0 = -h - 1 for s.
-5
Solve -3*a + 450*s + 38 = 454*s, -3*a + 13*s + 4 = 0 for a.
10
Solve -5*m + 23 = i, 3*i - 18024*m = -18023*m - 11 for i.
-2
Solve 2*d + 3*j = -8 - 79, 58*d + 63*d + 4*j = 117*d - 112 for d.
3
Solve 4*c + 18*x - 28*x - 30 = -11*x, -3*c + 19 = -x for c.
7
Solve 2*g = 4*a + 48, 19 + 59 = 605*a - 615*a + 2*g for a.
-5
Solve 5*r - 41 = -2*g + 3, 4*r + 2*g + 972 = -g + 1003 for r.
10
Solve o = 81*q - 78*q - 13, 0*o - 22 = -2*o + 3*q - 33 for o.
2
Solve -26*j - 3*x = 993 - 1034, -57 = 3*j - 12*x for j.
1
Solve 47*f = -4*b - 4*f + 14*f - 172, 0 = -2*b + f - 8 for b.
-6
Solve -29*z = 2*d - 23*z + 48, 15 = -4*d - 3*z for d.
3
Solve 217*w - 437*w + 217*w + y = 228, 3*w + 240 = -3*y for w.
-77
Solve -9*u - 41 = 3*w - 5*u - 34, -7 = w - u for w.
-5
Solve 0 = -2*s + s + 11, 0 = 3016*f - 3019*f - 3*s + 42 for f.
3
Solve -11*s + 163*n = 161*n - 1018, -3*s + 205 = -5*n - 86 for s.
92
Solve -2*u - 4*c + 86 - 188 = 0, -2*u - 46 = 3*c + 55 for u.
-49
Solve -5*n + 3*y + 0*y + 9 = 0, 6*n + 18070*y - 18071*y - 29 = 0 for n.
6
Solve -4*v - 5*i + 14 = 0, 2*v + 126*i - 382 = v + 414*i - 100*i for v.
6
Solve 10*n + s = -2*s + 136, -n = -42*s + 45*s - 19 for n.
13
Solve -3*d - 99 = -21*l, 17*l - 40*l + 19*l - 53*d - 249 = 0 for l.
4
Solve 3*r + 670 = r + 7*r + 44*k, 0 = 5*k - 75 for r.
2
Solve 37 = 3*c + 5*x + 11, 37 = -5*x + 72 for c.
-3
Solve 5*z = -18*g - 159, 783*z - 778*z + 5*g = -55 for z.
-3
Solve 0 = -2*s - 2*q + 16, s + 129274*q - 129286*q = -96 for s.
0
Solve -b - 4 = -3*b - 3*v - 37, 143 = -13*b + 2*v - 7 for b.
-12
Solve -5*i = 4*z + 35, i + 3*z = 4 - 19 - 3 for i.
-3
Solve -5*t - m - 19 = -3*m, -1482*t - m = -1473*t + 2 for t.
-1
Solve 25*b + 241 - 81 - 106 = 2*g, 4*b + 10 = g for g.
2
Solve 5*h = -6*z - 156, -1964*h + 32 = -1965*h - z for h.
-36
Solve -14 = 2562*g - 2558*g + 3*t, 0 = 2*g + 4*t + 12 for g.
-2
Solve 3*u + 6 = 0, 13900 = -5*d - 5*u + 13970 for d.
16
Solve -3*k = 132, -3*w + 4963 = 17*k - 57*k - 73*k for w.
-3
Solve 2*o + 36 = 4*y, 9902*y - 9900*y + 12 = -2*o for y.
4
Solve -d + 436786*g + 59 = 436779*g, -5*d - g = 29 for d.
-4
Solve 0 = -20*m, 4*w + 10*m + 9 = 7*w - m + 16*m for w.
3
Solve -4*m = k - 160, -2*k - 131 = 6980*m - 6983*m for m.
41
Solve 6*y - 29*t = y + 51*t + 3435, -4*t + 90 = 262 for y.
-1
Solve s - 2*s + 4 - 3 = -2*s - i, 62*i + 83*i - 143 = -s for s.
-2
Solve -k - 5 = 0, -4*w - 4*k + 337 = 401 for w.
-11
Solve 0 = 2*q + 816488*j - 816491*j + 20, 0 = -4*q + 4*j - 32 for q.
-4
Solve 3*l - 321 - 1646 = 89*c, 2*l + 2*c + 38 = 0 for l.
3
Solve 4*t - 125 = -5*r, 21*t - 4*r + 563 = 342 for t.
-5
Solve 0 = -170*r + 171*r - f - 2, -r = -20*f - 116 for r.
-4
Solve -3*o + 239 = 45*j + 1328, -4*j - 52 - 22 = 4*o + 34 for j.
-24
Solve -m = -4*q + 33, -3848*q + 1283*q + 1286*q + 4*m + 20 = -1277*q for q.
8
Solve 3*k - 5*s - 6 = 3*k - 31, 4*k = 91*s - 90*s + 59 for k.
16
Solve 3*q - 44 = -3*o - 281, 0 = 24*q - 53 + 53 for o.
-79
Solve 5213*n - 4*b = 5215*n + 32, 4*n + 12 = 5*b for n.
-8
Solve -11*v + 17 = -3*z, 3*z - 60*v = -55*v - 9 - 20 for z.
-13
Solve 0*l + m + 47 = l, -702*l = -699*l - 4*m - 146 for l.
42
Solve 392 = -2*t + 48*c, t + 0*t = 4*t - 0*c - 3*c + 36 for t.
-4
Solve -3*m + 33000*x - 32995*x = 6, 4*m = -2*x + 44 for m.
8
Solve 4*f = -3*h - 20, 2*f + 6 = 17*h + 2*h + 78 for h.
-4
Solve -90 = -8*o - 2*l, 3*l = -36*o + 18*o + 23*o - 69 for o.
12
Solve -7*u + 2*u + 372*p = 367*p - 330, -10*p - 670 = 0 for u.
-1
Solve -3*z = -6*b + 51698 - 51725, 3*z - 2*b - 27 = 0 for z.
9
Solve 620*x = -5*g + 621*x + 49, g - 183*x - 741 = 0 for g.
9
Solve 1663*b - 20 = 1659*b, -4*i = 2*b - 98 for i.
22
Solve -2*r = -2*o - 9 + 199, 3*o + 84 = -5*r - 383 for o.
1
Solve -2*a + 41 = 3*l, 4*a + 943*l = 1887*l - 945*l - 3 for a.
-5
Solve -8 = 4*n + 2646*r - 2650*r, -n + 5*r = -10 for n.
-5
Solve 0 = 3*p - 2*n - 11, 28080*p - 19 = 28077*p + 4*n for p.
1
Solve -3*x = 2*z - 30, 4*x - 2*z = -2
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Find p, given that -4*p**4 - 132*p**3 - 1128*p**2 - 256*p + 6144 = 0.
-16, -3, 2
Solve h**5/2 - 3871*h**4/2 - 38797*h**3/2 - 50513*h**2/2 + 116448*h - 69858 = 0.
-6, 1, 3881
Find x such that 3*x**2 - 901155*x - 901158 = 0.
-1, 300386
Solve -2*o**3/7 + 621*o**2/7 + 312*o/7 - 311/7 = 0.
-1, 1/2, 311
Factor n**4/7 - 3943*n**3/7 - 11842*n**2/7 + 15784*n/7.
n*(n - 3946)*(n - 1)*(n + 4)/7
Factor -2*y**2/11 + 270196*y - 100383082822.
-2*(y - 743039)**2/11
Find y, given that 4*y**3 - 144108*y**2 - 144112*y = 0.
-1, 0, 36028
Suppose -2*d**3/5 + 26212*d**2 - 2147221504*d/5 + 4293918784/5 = 0. What is d?
2, 32764
Factor o**3/4 - 407*o**2/4 + 1064*o + 2211125.
(o - 266)**2*(o + 125)/4
Suppose -26*k**4/19 + 1438*k**3/19 + 5592*k**2/19 + 4280*k/19 - 1888/19 = 0. Calculate k.
-2, 4/13, 59
Solve -78*g**2 + 227907*g + 26298 = 0.
-3/26, 2922
What is d in -2*d**2/19 - 60248*d/19 - 453727688/19 = 0?
-15062
Let 4*s**5/11 + 7442*s**4/11 - 86140*s**3/11 - 52370*s**2/11 + 86136*s/11 + 44928/11 = 0. What is s?
-1872, -1, -1/2, 1, 12
Factor 3*z**4 + 84*z**3 + 654*z**2 + 1068*z + 495.
3*(z + 1)**2*(z + 11)*(z + 15)
Determine u so that -u**2/2 + 173*u/2 + 7434 = 0.
-63, 236
Find n, given that 516*n**5/5 + 3628*n**4/5 - 51488*n**3/5 + 144944*n**2/5 - 119296*n/5 - 768 = 0.
-15, -4/129, 2, 4
Factor 5*f**5 + 5180*f**4 + 15510*f**3 + 15500*f**2 + 5165*f.
5*f*(f + 1)**3*(f + 1033)
Find m such that 3*m**5 + 15*m**4 - 153*m**3 - 1023*m**2 - 1866*m - 1008 = 0.
-7, -3, -2, -1, 8
Solve -2*a**2/3 + 671764*a/3 - 56408358962/3 = 0 for a.
167941
Find v such that v**3/3 - 158*v**2 + 24288*v - 1219680 = 0.
132, 210
Solve -2*g**3/3 - 7266*g**2/5 + 7574*g - 4370/3 = 0.
-2185, 1/5, 5
Determine a, given that 15*a**5/7 + 1161*a**4/7 - 106473*a**3/7 - 150849*a**2/7 - 43230*a/7 = 0.
-131, -1, -2/5, 0, 55
Determine x, given that -4*x**2/5 + 620*x - 80784/5 = 0.
27, 748
Factor 6*u**2 - 143*u - 1295.
(u + 7)*(6*u - 185)
Factor 10*c**3 + 38198*c**2 + 152768*c/5 + 30552/5.
2*(c + 3819)*(5*c + 2)**2/5
Solve 6*u**4/5 - 10538*u**3/5 + 4628812*u**2/5 - 1534744*u/5 - 3083536/5 = 0.
-2/3, 1, 878
Factor -m**4 + 4536*m**3 - 18132*m**2 + 18128*m.
-m*(m - 4532)*(m - 2)**2
Factor -3*a**4 + 84030*a**3 + 252108*a**2 + 252114*a + 84039.
-3*(a - 28013)*(a + 1)**3
Let -3844*i**5 - 198152*i**4 - 1652992*i**3 - 4793472*i**2 - 4810752*i - 1548288 = 0. Calculate i.
-42, -4, -24/31
Factor 3*a**3/5 - 38088*a**2 + 380871*a/5 - 190434/5.
3*(a - 63478)*(a - 1)**2/5
Find j, given that j**5/5 - 38*j**4/5 - 39*j**3 + 2488*j**2 + 25424*j/5 - 37632/5 = 0.
-16, -3, 1, 28
Determine v so that -3*v**5/4 - 109*v**4/8 + 1931*v**3/8 + 109*v**2/8 - 1925*v/8 = 0.
-175/6, -1, 0, 1, 11
Determine u so that 3*u**2 + 204714*u + 3492318483 = 0.
-34119
Suppose -3*b**2 - 1023567*b - 2047122 = 0. What is b?
-341187, -2
Suppose -3*q**4/8 - 105*q**3/8 + 1383*q**2/4 - 636*q = 0. What is q?
-53, 0, 2, 16
Determine m, given that -2*m**4 + 12*m**3 + 1008*m**2 + 3572*m - 4590 = 0.
-17, -5, 1, 27
Solve -d**3/4 + 887*d**2/2 - 886*d = 0 for d.
0, 2, 1772
Find a such that 300*a**5 - 2692*a**4/3 - 1508*a**3 + 2660*a**2/3 + 1208*a + 32/3 = 0.
-1, -2/225, 1, 4
Suppose 5*f**5 - 115*f**4 - 905*f**3 + 24115*f**2 + 43800*f - 1228500 = 0. Calculate f.
-10, 9, 13, 21
Solve -2*f**2/7 + 31702*f/7 - 31700/7 = 0.
1, 15850
Factor -s**2 - 1512*s - 7535.
-(s + 5)*(s + 1507)
Find g, given that -g**5/3 + 1795*g**4/3 + 7190*g**3/3 + 10790*g**2/3 + 7195*g/3 + 1799/3 = 0.
-1, 1799
Let o**3 - 22*o**2 - 56*o + 192 = 0. What is o?
-4, 2, 24
Suppose -4*a**3 - 208*a**2 - 2980*a - 10200 = 0. Calculate a.
-30, -17, -5
What is z in 2*z**2 + 4353352*z + 2368959204488 = 0?
-1088338
Find d such that 2*d**3/7 - 194*d**2/7 - 4498*d/7 - 3042 = 0.
-13, -7, 117
Determine k, given that -2*k**5/5 + 4*k**4 - 26*k**3/5 - 56*k**2 + 928*k/5 - 128 = 0.
-4, 1, 4, 5
Suppose -2*z**3/13 + 30326*z**2/13 + 182010*z/13 + 273042/13 = 0. What is z?
-3, 15169
Factor 3*h**2 + 74607*h + 223794.
3*(h + 3)*(h + 24866)
Find f such that 2*f**4/9 + 160*f**3 + 15992*f**2 + 383040*f - 2908800 = 0.
-606, -60, 6
Determine z, given that 2*z**2/7 - 1966896*z/7 + 483584984352/7 = 0.
491724
Factor 27*x**2 + 13200*x - 14700.
3*(x + 490)*(9*x - 10)
Find z, given that -2*z**2 + 5270*z - 47268 = 0.
9, 2626
Let 4*h**4 + 8*h**3 - 916*h**2 + 2728*h + 16320 = 0. What is h?
-17, -3, 8, 10
Determine i, given that -6*i**4 + 4*i**3 + 128*i**2 - 228*i - 90 = 0.
-5, -1/3, 3
Determine a so that 5*a**5 + 10015*a**4 + 248250*a**3 + 1980500*a**2 + 4945000*a = 0.
-1978, -10, -5, 0
Suppose 9*i**5 + 777*i**4 + 8460*i**3 + 17988*i**2 - 15984*i = 0. Calculate i.
-74, -9, -4, 0, 2/3
Factor -2*c**4 + 1540*c**3 - 16698*c**2.
-2*c**2*(c - 759)*(c - 11)
Factor -4*x**3/7 - 188*x**2/7 - 1536*x/7 + 1728/7.
-4*(x - 1)*(x + 12)*(x + 36)/7
Suppose -o**4/5 - 1886*o**3/5 - 9413*o**2/5 - 15052*o/5 - 7524/5 = 0. What is o?
-1881, -2, -1
Find j such that j**4 - 17*j**3 - 337*j**2 - 319*j = 0.
-11, -1, 0, 29
Solve 2*p**5/23 + 14*p**4/23 - 54*p**3/23 - 478*p**2/23 - 748*p/23 - 336/23 = 0.
-7, -4, -1, 6
Suppose 3*p**4 + 4563*p**3 - 4566*p**2 = 0. Calculate p.
-1522, 0, 1
Suppose -36*b**5 - 3984*b**4 - 17284*b**3 + 55112*b**2 - 45680*b + 11872 = 0. Calculate b.
-106, -7, 2/3, 1
Let -6*s**5 + 196*s**4 + 28710*s**3 + 545588*s**2 + 686280*s + 169200 = 0. Calculate s.
-30, -1, -1/3, 94
Solve -3*t**3/5 - 21888*t**2/5 - 26247*t - 21870 = 0.
-7290, -5, -1
Factor -u**3/3 + 31*u**2/6 + 256*u/3 + 442/3.
-(u - 26)*(u + 2)*(2*u + 17)/6
Suppose -4*z**3 - 13164*z**2 - 248744*z - 235584 = 0. What is z?
-3272, -18, -1
Let -2*x**4 + 114*x**3 - 2016*x**2 + 10368*x = 0. Calculate x.
0, 9, 24
Solve -t**5/5 + 11*t**4/5 + 2*t**3/5 - 278*t**2/5 + 511*t/5 - 49 = 0.
-5, 1, 7
Solve v**5/5 + 107*v**4/5 - 381*v**3 + 1553*v**2 + 1904*v/5 - 7872/5 = 0.
-123, -1, 1, 8
Factor -h**3/4 + 18537*h**2/4 + h/4 - 18537/4.
-(h - 18537)*(h - 1)*(h + 1)/4
Factor -j**3/2 - 27835*j**2/2 + 13918*j.
-j*(j - 1)*(j + 27836)/2
Suppose -2*d**3 + 44*d**2 - 30*d - 252 = 0. Calculate d.
-2, 3, 21
Find m, given that 22*m**3 - 758*m**2 + 5080*m + 3000 = 0.
-6/11, 10, 25
Find q such that 2*q**4/5 - 106*q**3/5 + 1254*q**2/5 + 13482*q/5 - 243432/5 = 0.
-12, 21, 23
Find y, given that -4*y**2 + 89704*y + 89708 = 0.
-1, 22427
Factor 3*h**2/8 - 5193*h/4.
3*h*(h - 3462)/8
Suppose -3*f**2/7 - 1601556*f - 1496239278996 = 0. Calculate f.
-1868482
Factor 2*m**3/3 + 280*m**2/3 + 4558*m/3 - 4840/3.
2*(m - 1)*(m + 20)*(m + 121)/3
Factor -n**2/2 - 5185*n/2 + 5187.
-(n - 2)*(n + 5187)/2
Determine n, given that -5*n**4/3 - 1081*n**3/3 + 653*n**2 - 655*n/3 - 218/3 = 0.
-218, -1/5, 1
Find u such that 5*u**5 + 445*u**4 + 11635*u**3 + 94055*u**2 - 11640*u - 94500 = 0.
-50, -21, -18, -1, 1
Factor -3*h**3 - 2556*h**2 - 27783*h - 25230.
-3*(h + 1)*(h + 10)*(h + 841)
Determine f so that 30*f**2 - 10101*f - 3033 = 0.
-3/10, 337
Find w such that -w**2/3 - 291*w + 874/3 = 0.
-874, 1
Factor 2*m**3/9 + 130*m**2/9 + 442*m/3 - 578.
2*(m - 3)*(m + 17)*(m + 51)/9
Let -2*x**4 - 3754*x**3 - 26164*x**2 + 29920*x = 0. What is x?
-1870, -8, 0, 1
Let -l**3/6 - 843*l**2 - 2125187*l/2 + 25664356/3 = 0. Calculate l.
-2533, 8
Determine i, given that 4*i**3 - 316*i**2 + 800*i + 8512 = 0.
-4, 7, 76
Factor -5*z**5 + 610*z**4 + 5080*z**3 + 15440*z**2 + 20720*z + 10400.
-5*(z - 130)*(z + 2)**4
Find g such that -2*g**4/5 + 42*g**3 + 11082*g**2/5 + 21526*g/5 + 10656/5 = 0.
-37, -1, 144
Factor v**3/5 + 762*v**2/5 - 5355*v + 230044/5.
(v - 17)**2*(v + 796)/5
Factor -3*s**2 - 28782*s - 69033627.
-3*(s + 4797)**2
Determine p, given that p**2/5 - 738*p/5 + 136161/5 = 0.
369
Factor 3*s**2/5 - 170838*s.
3*s*(s - 284730)/5
Factor r**2/3 + 5054*r/3 + 10096.
(r + 6)*(r + 5048)/3
What is b in 5*b**3 - 820*b**2 + 815*b = 0?
0, 1, 163
What is l in l**5 + 1257*l**4 - 2519*l**3 - 1257*l**2 + 2518*l = 0?
-1259, -1, 0, 1, 2
Factor 5*t**3 - 5835*t**2 + 1633275*t + 40712875.
5*(t - 595)**2*(t + 23)
Find g, given that 4*g**4/5 + 1198*g**3/5 + 1788*g**2/5 - 2*g/5 - 596/5 = 0.
-298, -1, 1/2
Determine c, given that -14*c**4/11 - 62408*c**3/11 + 17846*c**2/11 + 62408*c/11 - 17832/11 = 0.
-4458, -1, 2/7, 1
Factor -3*w**2 - 4134*w.
-3*w*(w + 1378)
Factor -a**3 + 36*a**2 - 35*a.
-a*(a - 35)*(a - 1)
Factor -4*p**3 - 752*p**2 - 5760*p.
-4*p*(p + 8)*(p + 180)
Suppose t**3 - 23*t**2 - 1689*t + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
2*x + 0*x**4 - 68*x**2 + 68*x**2 wrt x?
-48*x**2
What is the first derivative of -20*f + 26 + 5 - 42*f wrt f?
-62
What is the second derivative of -16*y - 5*y**2 + y**2 - 9*y**2 - 2*y**2 wrt y?
-30
Let o(v) be the third derivative of -v**7/105 - v**3 + v**2. Find the first derivative of o(j) wrt j.
-8*j**3
What is the second derivative of -17*g**3 + 11*g - 4*g + 19*g**3 wrt g?
12*g
Let r(j) be the third derivative of j**6/60 - j**4/24 + 2*j**2. What is the second derivative of r(q) wrt q?
12*q
Let d(x) be the third derivative of -4*x**5/15 - x**4/4 + 13*x**2. Find the second derivative of d(s) wrt s.
-32
Let i be 9/12*(2 + 2). What is the first derivative of -6*d**2 + 6*d**2 + i + 3*d**4 wrt d?
12*d**3
What is the second derivative of -12*f + 0*f + 71*f**4 - 63*f**4 wrt f?
96*f**2
Let o(s) = -3*s + 5. Let i be o(4). Let r = -2 - i. Find the second derivative of 5*w**5 - w - w**r - 2*w**5 wrt w.
40*w**3
Let m(x) be the second derivative of -2*x**3/3 + x**2/2 - 4*x. Differentiate m(f) wrt f.
-4
What is the second derivative of 4*x**4 + 6*x**4 + 5*x - 2*x**4 wrt x?
96*x**2
Let p(u) be the first derivative of u + 1 + 1/2*u**2. What is the derivative of p(d) wrt d?
1
Let g(b) = 31*b**3 + 9*b**2 + 10*b - 6. Let j(t) = 32*t**3 + 8*t**2 + 9*t - 5. Let o(r) = -5*g(r) + 6*j(r). What is the third derivative of o(w) wrt w?
222
Suppose -2*a - 15 = -7*a - p, 2*p - 20 = -5*a. Let c(b) be the second derivative of 0 - 1/2*b**a + 1/3*b**3 - b. What is the derivative of c(d) wrt d?
2
Suppose v + 1 = -s + 7, 2*v + s - 17 = 0. What is the derivative of -6 + 5*a - 5*a + v + 4*a**4 wrt a?
16*a**3
Let n(x) be the third derivative of -1/210*x**7 + 0*x**6 - 1/30*x**5 - 2*x**2 + 0 + 0*x + 0*x**3 + 0*x**4. What is the third derivative of n(r) wrt r?
-24*r
Let f(d) be the first derivative of 5*d**4/4 - 5*d**3 + 4. What is the third derivative of f(u) wrt u?
30
Let q(b) = b - 7. Let n be q(7). Find the second derivative of 3*j**2 + n*j**2 + 0*j - j**2 - 4*j wrt j.
4
Let r(g) = -22*g**2 - 41*g. Let u(j) = -45*j**2 - 81*j. Let t(i) = -5*r(i) + 3*u(i). What is the second derivative of t(v) wrt v?
-50
Let o be (-4)/(-10) - (-34)/(-10). Let q = o + 7. Find the first derivative of 1 - 4 - m**4 - 2*m**q wrt m.
-12*m**3
Let l(w) = -2*w - 6. Let f be l(-5). What is the second derivative of -222 + 222 + f*y**5 - 7*y wrt y?
80*y**3
What is the derivative of -3 + 13 + 30 - 3*t**4 - 3*t**4 wrt t?
-24*t**3
Let b be -2 - (-4)/(8/10). Find the first derivative of b*n - 3*n**4 - 3 - 3*n + 0*n wrt n.
-12*n**3
What is the third derivative of -5*p**4 + p**4 + 4*p**2 - 6*p**5 + 4*p**4 wrt p?
-360*p**2
Differentiate 2 + 202*c - 193*c - 3 wrt c.
9
Let c(t) be the third derivative of -t**7/21 - t**5/12 + 3*t**2. What is the third derivative of c(v) wrt v?
-240*v
Let y(g) = g**3 + 4*g**2 + 2*g - 2. Let q be y(-2). What is the second derivative of 0*j**5 - 3*j**5 + 0*j + q*j wrt j?
-60*j**3
Let y(n) be the third derivative of 7/6*n**3 - 1/12*n**4 - 4*n**2 + 0*n + 0. Differentiate y(z) with respect to z.
-2
Let t(i) be the first derivative of 5*i**4/24 - i**3/3 - 3*i**2/2 + 3. Let l(r) be the second derivative of t(r). Differentiate l(x) wrt x.
5
Let k(w) be the third derivative of -w**6/12 + 7*w**4/24 - w**2. What is the second derivative of k(s) wrt s?
-60*s
Suppose -g + 3*p = -5*g + 25, -5*g = -4*p - 8. Suppose 2*f + 22 = g*o, 8 = -2*o + 5*f + 31. Differentiate -6*y**4 + 7*y**o + 1 - 6 + 2 with respect to y.
4*y**3
Let j(a) = -a**3 + a**2 + 10. Let d be j(0). Suppose 3*b - 4 = -4*f, 4*b + f = b + d. What is the second derivative of 2*z + 3*z**4 - 2*z**b + z**4 wrt z?
24*z**2
Let t(h) = 6*h - 1. Let y(l) = l + 1. Let o(u) = -t(u) + y(u). Differentiate o(k) with respect to k.
-5
Let f(i) be the first derivative of i**8/420 + i**4/6 + i**3/3 + 1. Let s(b) be the third derivative of f(b). What is the first derivative of s(m) wrt m?
16*m**3
Let n(j) be the third derivative of j**6/15 + 5*j**4/24 - 2*j**2. What is the second derivative of n(i) wrt i?
48*i
Let s(y) be the second derivative of -1/12*y**4 + 0*y**3 + 0 + 3*y + 0*y**2 + 3/20*y**5. Find the third derivative of s(v) wrt v.
18
Differentiate 319*a**2 - 319*a**2 + 3 - 6*a**4 wrt a.
-24*a**3
Let d be 7/(-14) - (-7)/2. Differentiate 2*x - 2*x + x - d wrt x.
1
What is the second derivative of 21*f + 257*f**4 - 257*f**4 - 25*f**5 wrt f?
-500*f**3
Let t(d) be the first derivative of 0*d**3 - d**2 - 1 + 0*d + 1/2*d**4. What is the second derivative of t(x) wrt x?
12*x
Let x be (-2)/(-7) + (-2)/7. Find the third derivative of j**2 + 0*j**2 + x*j**2 - 6*j**3 - 7*j**2 wrt j.
-36
Let n(m) = -5*m**2 - 4. Suppose -14 + 4 = 2*u. Let y(v) = -9*v**2 - 8. Let t(c) = u*n(c) + 3*y(c). Differentiate t(s) with respect to s.
-4*s
Let a be 20/(-24)*9/(-5). Let q(s) be the first derivative of 2*s + a*s**2 - 1. What is the derivative of q(g) wrt g?
3
Find the second derivative of 23*v + 23*v**4 - 26 + 26 + v**3 wrt v.
276*v**2 + 6*v
Let a be ((-2)/(-6))/(3/45). Let h = 5 - a. What is the third derivative of -3*q**3 + h + 0 + q**2 wrt q?
-18
Let u(m) = -2*m**3 - 1. Let g be u(-1). Suppose -16 + g = -5*o. What is the second derivative of -8*j**2 + 2*j + 8*j**2 - j**o wrt j?
-6*j
Let w = 3 - -49. What is the second derivative of -4*x**5 - 2*x**5 + w*x - 48*x wrt x?
-120*x**3
Let g = 13 + -8. Suppose 2*n = 3*u - 10, g*u - n - 14 = n. Find the third derivative of -s**6 - 2*s**2 + 0*s**u + s**2 wrt s.
-120*s**3
Let d(z) = -z**2 + z + 1. Let l(r) be the first derivative of -2*r**3 + 2*r**2 + 3*r - 3. Let v(a) = -3*d(a) + l(a). Find the second derivative of v(p) wrt p.
-6
Let i(v) = -1. Suppose 6 = 2*u - 5*u. Let d(l) = 3*l**2 - 2*l - 2. Let q(b) = u*i(b) + d(b). What is the second derivative of q(o) wrt o?
6
Let m(f) be the third derivative of -5*f**4/6 + 3*f**3 + 20*f**2 + 2. Differentiate m(n) with respect to n.
-20
Let h(a) be the second derivative of a**11/18480 + a**7/2520 - a**4/2 - 3*a. Let n(l) be the third derivative of h(l). Find the third derivative of n(i) wrt i.
360*i**3
Let a(b) be the first derivative of -b**5 - 5*b - 10. Differentiate a(l) wrt l.
-20*l**3
Let f(b) be the first derivative of 1 + 0*b**2 + 0*b - 3/4*b**4 - 4/3*b**3. Find the third derivative of f(x) wrt x.
-18
Suppose 3*a = 4 + 5. Suppose -3*w - 2*w = -10. What is the second derivative of -w*o**3 + 2*o**a + o + o**3 wrt o?
6*o
Suppose -3*d + 2 = -4. Let q(k) be the first derivative of -k**d + 2*k - 1 + 0*k + 0*k. What is the derivative of q(o) wrt o?
-2
Differentiate 6 + 7*k**4 + 10*k**4 - 21*k**4 with respect to k.
-16*k**3
Let f(c) be the first derivative of 5*c**6/6 + 5*c**3/3 - 1. What is the third derivative of f(y) wrt y?
300*y**2
Let s(u) be the second derivative of -2/15*u**6 - 2*u + 0 + 0*u**4 + 0*u**5 + 2*u**2 + 0*u**3. What is the first derivative of s(q) wrt q?
-16*q**3
Let n(f) = 3*f**2 + 19. Let z(l) = 4*l**2 + 29. Let i(j) = -8*n(j) + 5*z(j). What is the first derivative of i(u) wrt u?
-8*u
Let a(j) be the first derivative of -4*j**5/5 - 7*j**2 - 13. What is the second derivative of a(o) wrt o?
-48*o**2
Let n(p) be the second derivative of p**5/20 + 11*p**4/4 - 22*p. Find the third derivative of n(m) wrt m.
6
Let c(h) be the second derivative of -4/21*h**7 - h**3 + 0*h**2 + 0*h**6 + 0 + 0*h**4 - 8*h + 0*h**5. Find the second derivative of c(j) wrt j.
-160*j**3
What is the second derivative of -2*r - 6*r**2 - 6*r**2 - 5*r wrt r?
-24
Let g(n) be the first derivative of 2*n**2 + 0*n + 2/3*n**3 + 3. Find the second derivative of g(v) wrt v.
4
Let h(r) = -33*r**2 - 41*r. Let a(b) = 98*b**2 + 123*b. Let i(f) = -6*a(f) - 17*h(f). Find the second derivative of i(s) wrt s.
-54
Let l(j) be the third derivative of j**7/42 + j**4/6 - 2*j**2. What is the second derivative of l(i) wrt i?
60*i**2
Let h(o) be the third derivative of -5*o**4/12 + o**3/2 + 6*o**2. What is the derivative of h(u) wrt u?
-10
Let h(q) be the first derivative of -4*q**3/3 + 3*q - 2. Differentiate h(w) wrt w.
-8*w
Let m(v) be the third derivative of 2*v**9/63 - 53*v**5/60 - 2*v**2 + 25*v. What is the third derivative of m(f) wrt f?
1920*f**3
Let c(m) = -6*m**3 + 9*m + 7. Let x(y) = -3*y**3 + 4*y + 3. Suppose 4 = 2*g + 2*g. Let u be (-6)/(g*2/3). Let h(j) = u*x(j) + 4*c(j). Differentiate h(l) wrt l.
9*l**2
Find the s
|
{
"pile_set_name": "DM Mathematics"
}
|
ler: 0 or w?
w
Let y(d) be the first derivative of d**4/2 - d**3/3 + d**2/2 - d + 2. Suppose 5*b - x - 6 = 0, 3*x + x = -4. Let o be y(b). Are o and -1/5 nonequal?
True
Let o = -365731/483483 - -1/24794. Let s = -12/13 - o. Is 1 smaller than s?
False
Let w be ((-3)/(-9))/(4/(-36)). Do -3 and w have different values?
False
Suppose -4*q + 4*r - 18 = 2, -4*r + 4 = -2*q. Is -8 <= q?
True
Let o(z) = 2*z**2 - 5*z + 4. Let x be o(3). Suppose 16 = v + 5*r, -v + 2 - x = -2*r. Let t = -244/21 - -34/3. Which is smaller: t or v?
t
Suppose -b + 4*b - 42 = 0. Suppose 0 = 4*o - 9*o + m - b, 0 = 2*o - 5*m + 24. Are o and -3 equal?
False
Let c(g) = -3*g + 8. Let j be c(2). Suppose 0 = 4*u - 2*r - 8, -5*r - 3 = 7. Is j at most as big as u?
False
Let h = 4 - 7. Suppose 2*k + 4 - 2 = 0. Is k >= h?
True
Let o = -30 + 17. Which is smaller: -12 or o?
o
Let y = 2 + -3. Let w be 0*-1*(-2)/(-2). Suppose 0 = -w*p + 2*p. Are y and p nonequal?
True
Suppose -2*s = 3*s - 85. Let l = -18 + s. Which is smaller: -3 or l?
-3
Let w = -7 - -3. Let a = w - -1. Are -1 and a nonequal?
True
Let w(t) = t**2 + 10*t + 13. Let g be w(-9). Suppose 0 = 2*d - 2*s + 6, 3*d - g*s - 2 = -6. Let a be (-4)/d*(-1 + 1). Which is bigger: a or 1/2?
1/2
Let c(b) = -b. Let x be c(3). Let j be 6/9 - 21/9. Which is smaller: j or x?
x
Let l be (-3)/12 + 1/4. Suppose 2*v - 2 = 3*p + 11, -2*p = -v + 8. Suppose -i + 4*w = 8*w + 21, 0 = -v*i + 5*w + 23. Which is smaller: i or l?
i
Suppose -37 + 103 = -3*g. Let d = g + 112/5. Which is bigger: 0 or d?
d
Suppose 3 = 5*a + 8. Which is smaller: a or 1/54?
a
Let l(p) = -p**2 + 3*p. Let j be l(2). Let d be (-3)/(-5)*(3 - -2). Is d less than j?
False
Let b(m) = -m**3 + 2*m**2 + 2*m + 1. Let v be b(-2). Which is smaller: 12 or v?
12
Let l(x) be the third derivative of -x**4/24 - 4*x**3/3 + x**2. Let p be l(-7). Is -1 > p?
False
Suppose 0 = -0*i + 3*i - 18. Let l be (i/16)/((-6)/4). Suppose -5*q - 2*d + 2 = 0, -2*d = 3*q - 0*d + 2. Is l smaller than q?
True
Let k be (-6)/((-10)/2 - -3). Suppose -5*f + k*f = -20. Let n be (-21)/8 + (13 - f). Are 1 and n unequal?
True
Let g(c) = c + 17. Let k be g(-8). Let o = k - 15. Is -6 > o?
False
Suppose -2*w - 3*i = -8, -5*i + 0*i = -10. Let r = 14 - 8. Let q = 8 - r. Is q at most w?
False
Suppose -2*d + 3*d = -28. Is -57/2 > d?
False
Suppose -2*d + 6 = 0, -4*n + 2*n - d + 7 = 0. Let m be (-1 + 1)/n - 8. Let i be (-2)/m*(-8)/14. Which is smaller: 0 or i?
i
Let d(h) = h - 4. Let c be d(5). Which is greater: 10/7 or c?
10/7
Suppose 27*h = 29*h. Is 3/16 at least as big as h?
True
Suppose -3*l + 25 = 2*l. Let v(z) = z + 6 + 8 - l. Let o be v(-7). Which is smaller: 1/2 or o?
1/2
Let m = -4 - -4.6. Let u = -0.4 + m. Let y = -3 - -4. Which is bigger: u or y?
y
Let y be 1106/(-56) + 2/(-8). Let s be -5*(1 - (-36)/y). Which is smaller: 1/3 or s?
1/3
Suppose 1 + 1 = b. Let h = -16 - -22. Suppose -5*n + 3*v = -1, -h*n + v + 5 = -2*n. Is b > n?
False
Let q(u) = 10*u**2 + 3*u + 3. Suppose 0 = h - 3*h - 6. Let k be q(h). Let y = -171/2 + k. Is y <= -3?
False
Let h = -72 + 212/3. Is h greater than -1?
False
Let i = 1.6 - 1.1. Let o = 0.1 - i. Is 0.1 <= o?
False
Let b = -1 - 0. Are b and -2/81 non-equal?
True
Let x(a) = a**2 - 6*a - 3. Let s be x(5). Let g be ((-2)/10)/(s/(-20)). Let v = 5 - 5. Does v = g?
False
Let f = 0 + 0.1. Let u = -70 - -73. Is f at least u?
False
Let v be 6/15 - (-180)/(-475). Is v at least as big as 0.2?
False
Let g = -52 + 51. Which is smaller: 0 or g?
g
Let i(m) = -m**2 - 6*m + 6. Let d be i(-7). Let j = 3 + d. Suppose -3*v - 30 = -2*r, -5*v + j*r - 52 = -2*r. Are v and -8 non-equal?
False
Let t be 2 + (-1)/((-8)/(-15)). Let p = -11 + 15. Let a = 5 - p. Does a = t?
False
Let y(x) = -x**2 + x - 4. Suppose -2 - 4 = 5*d + 2*z, -4*d + 5*z + 15 = 0. Let l be y(d). Let g be (l/(-12))/((-1)/2). Is 0.1 at least g?
True
Let y = 21 + -20.6. Let k = -2.4 + y. Does k = 2/7?
False
Let l = -1.6 + -2.4. Is l less than 0.2?
True
Let i = -1 - -11. Suppose k = -k + i. Suppose 2*j + 0*g - 14 = -2*g, 4*j + 17 = k*g. Is j at least 0.1?
True
Let a(x) = x**3 - 7*x**2 + 5*x + 4. Let l be a(6). Is -0.01 greater than l?
True
Let i be ((-21)/35)/(4/10). Is i < 2?
True
Suppose -24 = l - 13. Which is greater: -16 or l?
l
Suppose 1 = -3*g + 4. Suppose z = 3*q + q, 4*q = 0. Is g >= z?
True
Let m = 0.8 - 1. Suppose 5*c - w - 17 = -0*c, 5*w + 22 = 4*c. Suppose c*d = d. Is m not equal to d?
True
Let w be ((-3)/(-2))/(2/4). Suppose 0 = -2*l - 2*z + 6, 4*l - 4*z = -5*z + 3. Let u(c) = c + 2. Let n be u(l). Is n at least as big as w?
False
Let x = 3 - 4. Which is smaller: x or -4/9?
x
Let a = -5/13 - 55/26. Which is smaller: a or -3?
-3
Let i = -66 + 70. Which is greater: i or 6?
6
Suppose -2*r + 4*a - 162 = 2*a, -r = 5*a + 99. Let b be (27/r)/(3/(-2)). Is 0 >= b?
False
Let s be -9 + 12 + (0 - 1). Let j(g) = -g**2 - 6*g - 3. Let b be j(-4). Suppose -3*u - s*u = -b. Which is bigger: 3/5 or u?
u
Let g = 20 - 20. Let s = 3 - 2. Which is smaller: g or s?
g
Suppose -h - h = 2880. Let q = h - -7239/5. Let z = q - 8. Is z less than 1?
True
Let n = -4.6 + 5. Let h = n - -2.6. Let y = h - 2.7. Is 0 > y?
False
Suppose -8 = -p - p. Suppose 3*n = p - 1. Let t be (-12)/(-4)*n/(-3). Which is smaller: 1 or t?
t
Let j be 2/(2 - (3 - 3)). Let k(a) = -3*a**2 - 1 + a + 0*a + 0*a**2. Let o be k(j). Which is smaller: o or -1?
o
Let q(f) = f**3 + 12*f**2 + 8*f - 7. Let o be q(-11). Let p be (-12)/(-16) - o/56. Suppose -5*c + s - 1 = -s, -6 = 4*c + s. Is c smaller than p?
True
Let p(s) = -6*s - 3. Let k = -2 - -5. Let l be p(k). Let y be 3/(-6) + l/(-6). Is y > 1?
True
Let q = -168/23 - -2777/207. Let r = -6 + q. Let p = -76 + 75. Which is smaller: r or p?
p
Suppose 0 = 2*h + 4 + 2. Let m be (2/h)/(2/6). Let u = -3 - m. Is -1/4 < u?
False
Let l = -4 - -9. Suppose n = -0*n - d - 1, -3*n = 4*d + 2. Let a be n/(-4)*10/l. Which is bigger: -1 or a?
a
Let c(j) = 9*j - 8. Let g be c(1). Do -3/44 and g have the same value?
False
Suppose 6*v = -3*v - 9. Is 2/117 less than v?
False
Let g = -10 + 11. Let x be 3*g - (2 + -1). Which is smaller: 1 or x?
1
Let s = -3 - -3.7. Let z = -0.1 - s. Let o = 0.9 + z. Are o and -3 nonequal?
True
Let x be (3*(-4)/8)/(1/2). Let c = -2 - 1. Is c bigger than x?
False
Let a = 1851/17 - 109. Which is smaller: a or 0?
a
Suppose -4 = -3*n - 34. Is -14 < n?
True
Let k = -0.12 + 0.08. Let u = k - -0.14. Which is smaller: 1 or u?
u
Let t = -0.016 - -0.116. Is t less than -9/8?
False
Let p = 327 - 6216/19. Are p and 0 unequal?
True
Let y = 0.11 + -0.01. Let x = y - 0.5. Do x and -2/5 have the same value?
True
Suppose 4*m + 12 = 7*z - 2*z, z - 6 = -m. Let i = 2 - m. Let v = -703/5 - -141. Which is smaller: i or v?
i
Let b(j) = -j**3 + 7*j**2 - 5*j + 2. Let h = 0 - -6. Let c be b(h). Suppose 0 = -2*s + 6*s - c. Which is smaller: 2/3 or s?
2/3
Suppose -f - w + 4 = 0, -3*w = 2*f + w - 10. Suppose 2*j - 13 = -2*v + 5, -4*v - 4 = -4*j. Suppose -6*n = -4*g - n - 2, -j*g - 3*n = -16. Is g greater than f?
False
Let b(z) = -z**3 + 11*z**2 - z + 6. Let r be b(11). Let n be -13 + 0 + r + 2. Which is smaller: -17 or n?
-17
Let d = -10 - -12. Let t be 0/(d - 2/2). Let h = -58/3 - -19. Which is smaller: t or h?
h
Let b = 6 + -3. Which is smaller: 2 or b?
2
Let n(c) = c**3 - 13*c**2 + 10*c - 8. Let i be n(12). Let u = 34 + i. Let h = 0.3 - 0.1. Which is greater: u or h?
u
Let f = 10.02 - 10. Is f < -0.1?
False
Suppose -4*j + 7 = -25. Suppose 7*t = 3*t - 5*v - 11, -5*t + v + j = 0. Is -1/15 at most t?
True
Let p(v) = -v + 6. Let g be p(6). Let c be (-2 + 2)/(2 - g). Is -4/7 at least as big as c?
False
Let p = 2 + -6. Let s be 4 + p + 6/75. Which is greater: s or 1?
1
Suppose 0*t + 6 = 2*t. Suppose 0 = t*d - 2 - 4. Suppose 0 = d*q - 0 + 4, 0 = 4*k + 2*q + 12. Which is greater: -1 or k?
-1
Let r = -5 + -30. Let g = -24 - r. Are g and 9 non-equal?
True
Suppose -18*s = -12*s + 36. Is s less than or equal to 2?
True
Let f = -0.2 + 2. Let p = f + -2. Let g = p + 0.2. Is g < -2?
False
Let u = -4/195 - 1922/1365. Which is smaller: 0 or u?
u
Suppose 2*r = -3*y - 6, 5*y = -0*y - 5*r - 10. Let l(c) = -c**3 + 6*c + 3. Let p be l(y). Is p > 0.1?
False
Let d be ((-8)/18)/((-10)/(-915)). Let q = 40 + d. Do -2 and q have different values?
True
Let h be (-2 - (-1 - 0))*-3. Suppose h*m - 3*f =
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 assuming y is positive.
y**(928/7)
Simplify ((u*u*((u/(u/(u**(5/6)*u)))/u)/u*u*(u*u*u**(-27))/u)/(u/(u/u**(-13))*u**(-19)))**(-38) assuming u is positive.
u**(-1007/3)
Simplify ((j**(-1/11)*j**(2/3))/(j**(1/7)/(j/((j/(j/(j*j**(-5/6))))/j))))**(-19/3) assuming j is positive.
j**(-6631/462)
Simplify ((c**(-1)/(c/c**11)*c**(1/5)/c**(1/4))**(-12))**5 assuming c is positive.
c**(-537)
Simplify ((d*(d/(d/(d*d**(-1/4)*d)))/d)/d**(-4))**(-36)*((d**(-2/7))**44)**(-15) assuming d is positive.
d**(-129/7)
Simplify (s**(5/4)/s**5)**(-4/5)*((s/((s*s/(s*s/(s**(5/3)/s*s)))/s))/s**(-7))**(4/17) assuming s is positive.
s**(241/51)
Simplify ((a**(-2/7))**38/(a**(-1))**(7/2))/((a*a**(-1/8))/a**(-1))**(-11/3) assuming a is positive.
a**(-27/56)
Simplify (h*h*(h*h**30)/h*h**0*h*(h*h**4)**(2/181))**(-1/18) assuming h is positive.
h**(-5983/3258)
Simplify w*w**(-2/17)*w**(2/11)*w*w*w**(1/6)*w**(-1/5)*(w/((w**(-1/10)*w)/w)*w**(-2/5))/(w**(-2/5))**(-1/9) assuming w is positive.
w**(31021/8415)
Simplify (((j*j**1)/(j/(j**(-2/11)/j)))/(((j/j**(-9/7))/j)/(j*j**11*j)))**(-3/17) assuming j is positive.
j**(-2664/1309)
Simplify ((t*t*t/t**(-4/9))**(2/25)/(t/(t**1/t))**(2/31))**37 assuming t is positive.
t**(54464/6975)
Simplify (g*g/g**(1/7)*g*g)/g**(-2/5)*(g/(((g**(2/5)/g)/g)/g))**(-37)*(g*g**(1/2)/g*g)**(-9)*(g**(-1/4))**(-9) assuming g is positive.
g**(-19627/140)
Simplify ((w*w*w**5/w)/w*w/(w**(-6)/w))**(2/7)*(w/(w*w**(-1/2)*w*w*w))**41/((w/((w**(-2/17)*w)/w)*w)/((w*w**(-3))/w)) assuming w is positive.
w**(-24729/238)
Simplify ((t*t**(-2/11))/t)**(-1/8)*t**(1/16)*t**(2/7) assuming t is positive.
t**(457/1232)
Simplify (((m**(12/11)/(m*(m**3*m)/m))**(-27/2))**(36/11))**(-1/28) assuming m is positive.
m**(-3888/847)
Simplify ((k**2/k)/((k/k**(-2/15))/k))**(7/6)/((((k**(-1/2)/k)/k)/k*k/((k*k*k*k**(-3/7))/k))/(k*k*k/((k/(k**0*k))/k)*k)**(7/3)) assuming k is positive.
k**(5276/315)
Simplify ((a**(3/10)/a*a**14)/(a**(-2))**(-2/127))**(23/2) assuming a is positive.
a**(387573/2540)
Simplify (g**23/g*g**(-34)/g)/((g*g**(4/5))/((g**17/g)/g)) assuming g is positive.
g**(1/5)
Simplify (f/(f*f**(-1/7)/f))/(f*(f*f*f**(1/11)/f*f*f)/f)*(f**(-1))**(-3/19)*(((f/(f/f**0))/f)**31)**(-34) assuming f is positive.
f**(1539383/1463)
Simplify y**(-1/20)*(y/((y/y**13)/y))/y*((y/(y/y**(-41)))/y)/y**(-31) assuming y is positive.
y**(39/20)
Simplify ((f*f/f**1*f)**(-43)*(f*f/f**(-1))**(-3))/((f**(-2/7))**(4/5)/(f**(2/3))**(-7/5)) assuming f is positive.
f**(-10049/105)
Simplify ((i**(9/5)/(i/i**(-19)*i))/(i*i**(-5/6)*i**(-10/9)/i))**(-10/3) assuming i is positive.
i**(1553/27)
Simplify (p**(-40)/(p*p*(p/(p/((p*p**(2/51)/p)/p*p))*p)/p))/(p**(-13)*p*p*p*p**(-3/5)) assuming p is positive.
p**(-8017/255)
Simplify ((((j/j**(-6))/j*j**(2/3))**(-3/17))**22)**(5/4) assuming j is positive.
j**(-550/17)
Simplify ((m**(1/2))**(-36)/((m**(-2/11)*m*m)/m*m**(3/4)))/((m**(-3)*(m/m**(-4/5)*m)/m)/(m**(-1/3))**(2/63)) assuming m is positive.
m**(-764189/41580)
Simplify m*m**(2/11)*m/(m**(-6)/m)*m*(m*m*(m**0/m)/m)/m*m/(m**(-1/2)/m)*m*m**1*m**(-1/6)*m**(1/4)*m*m**(-5) assuming m is positive.
m**(1289/132)
Simplify ((l**(3/2)*l)/(l*(l**(-7)/l)/l*l)*l*(l**0*l)/l*(l**(-3/4)*l)/l)/(l**(-2)/(l*l/(l*l**(4/7))))**(-46) assuming l is positive.
l**(-2855/28)
Simplify ((h/h**(4/15))/(h**(6/11)*h)*(h**(-7))**36)**(-23) assuming h is positive.
h**(959422/165)
Simplify ((y*y/(y*y**(-1))*y)**(7/11)*(y**0*y)**(-22))/(((y/(y*y/y**(-2/5))*y)/(y*y**3/y))/((y**(-1)/y)/(y**(-1)/y))) assuming y is positive.
y**(-918/55)
Simplify ((u**1)**(-1/47)*(u/(u**(-3)/u))/u**(-3/2))/((u*u**8)/u**6*(u/(u*u/(u/u**9)))/(u/u**(-4))) assuming u is positive.
u**(1643/94)
Simplify (x/(x/(x**(-2/5)/x))*(x**6*x)/x)**1*((x*x**(2/5)/x)/(x**(-2/13)*x))**(-13) assuming x is positive.
x**(52/5)
Simplify ((m*m*m**(-11))/((m*m**(-10))/m))**12*(m*m/m**0)**(2/93)/(m*m**(-1))**(1/10) assuming m is positive.
m**(1120/93)
Simplify ((m**(-37)/(m/((m**(2/3)*m)/m)))/(m**(-8/7)*m**24/m))**27 assuming m is positive.
m**(-11187/7)
Simplify ((v**1)**48)**3/((v**1)**(-21/2)/(v**(-3)/(v*v**(-3)*v))) assuming v is positive.
v**(305/2)
Simplify ((((h*h**(-3)*h)**(4/5))**(8/9))**(-1/10))**(-10/13) assuming h is positive.
h**(-32/585)
Simplify ((k*(k/(k**(2/31)/k))/k*k*k**(-3/2)*k)/(k**5)**26)**(-21) assuming k is positive.
k**(166089/62)
Simplify (n**(1/23)*n*n*n**(-9)*n*n)**(-38)*(n**2)**47*((n*n/(n/(n**0*n*n*n)))/n)/(n**(5/3)/n) assuming n is positive.
n**(19643/69)
Simplify ((c**(-2))**(-19)*c**(2/11)/(c/c**(-1/3)))/((c*c**(-1/5)*c)**(-9))**(7/5) assuming c is positive.
c**(49111/825)
Simplify (n**(1/6)*n*n**(-5)*(n*n**(1/2))**(-7))/((n/(n**4/n)*(n*n/n**7)/n)/(((n/((n*n/(n/(n/n**(-6)*n))*n)/n))/n)/(n*n**(-2/9)))) assuming n is positive.
n**(-145/9)
Simplify (l**0/l**(-1)*(l/(l*l/(l/((l*(l**(-8)*l)/l)/l))))/l**(-6))/((l*l*l**0*l*l*l)/(l**1*l))**(2/71) assuming l is positive.
l**(1059/71)
Simplify (d*d/d**(-1))**(-4/5)/(d*d*((d/(d**(1/4)/d))/d)/d*d**(1/3))*(d**(2/7)/(d/((d*d**1/d*d)/d)))**(-1/3) assuming d is positive.
d**(-641/140)
Simplify ((h*h**5)/(h**(-2/9)/h)*h/(h/h**(-7))*h**(-2))/((h**(3/2)*h)/h**(-4)*h**3/(h*h*h**(1/5))) assuming h is positive.
h**(-817/90)
Simplify (k**(3/2)/(k*k/(k*k*k/(k*k*k**(-6)))))**(-23/2)/((k**(-4/5)/((k**(-3/5)*k)/k*k))/(k**(-5)*k*k**(-1/5))) assuming k is positive.
k**(-311/4)
Simplify (((v**(2/11)*((v/((v**(-6)*v*v)/v))/v)/v)/(((v/(v/v**(2/3)*v))/v)/v**(-3)))**37)**(-3/20) assuming v is positive.
v**(-3071/220)
Simplify (l**(-1/10)*l**9)**(-1/21)/((l**(-1/3)*l**(-4))/(l**(-6/5)/(l/(l*l/(l**9/l)*l)*l))) assuming l is positive.
l**(-901/210)
Simplify (((h*h**(-38)*h)/h)/(h**(1/21)/h)*(h/h**(-1/22))/((h/h**(-46))/h))**(2/3) assuming h is positive.
h**(-37423/693)
Simplify z**(-1)/(z/(z/(z/((z**(-6)*z)/z)*z)*z*z)*z)*((z/(z/(z*z/(z/(z**(-1/2)/z)))))/z*z)**(2/63)*(z**(1/10)/z**(1/10))/(z**0/z)**19 assuming z is positive.
z**(692/63)
Simplify (l**30)**(10/17)*l/(l*l**41)*l**38/l*l assuming l is positive.
l**(249/17)
Simplify ((w**(-13)*w*w/(w**(3/11)*w)*w)/(w/w**(6/17)*w**0))**(-30) assuming w is positive.
w**(66870/187)
Simplify ((d*d**(1/4)*d)/(d**(-1/13)*d))**(3/2)*((d*d*d*d/d**(-1/5))/(d**(-3)*d))/((d*d*d**(-6/7)/d)/(d**(-7)/d)) assuming d is positive.
d**(173/3640)
Simplify ((p*p**(-2/5)*p)/(p**(-2)*p*p))**(-40)*(p/p**(-4/7)*p**(1/5))**12 assuming p is positive.
p**(-1496/35)
Simplify ((((w*w**(-1/3)*w)/w)/w)/(((w/w**(-3))/w)/w)*(w**(-2/7))**27)/((w/w**(2/3))**21*w/w**(2/7)*w**(-1/7)) assuming w is positive.
w**(-370/21)
Simplify (c**2/c*c/(c/(c/c**7)*c))**(-5/6)*((c**(4/3)*c*c)/c**(-4/7))/(c*c**(1/8)*(c**(3/2)/c)/c) assuming c is positive.
c**(1391/168)
Simplify ((x/(x**0/x))**(-6/7)/((x**(-6/7)*x*x)/x**(-5)))/(x**3/x**(-2))**10 assuming x is positive.
x**(-405/7)
Simplify (k**(9/11)*k)/(k*(k/k**37)/k)*k**45*k**(-14) assuming k is positive.
k**(757/11)
Simplify ((z**(-11)/z)**(-44)*((z*z**(-11))/z)**(-2/17))**(-49) assuming z is positive.
z**(-440902/17)
Simplify (q**(-1/2)*q*q*(q/(q**(-3/2)/q))/q*q*q)**(-43)/(q**6/(q**3/q)*(q**5/q)/q*q**(-4/7)) assuming q is positive.
q**(-1851/7)
Simplify (g**(-4)/(g*g/(g**(1/15)/g))*g**(-3/5)*g*g*g**9)**(-5) assuming g is positive.
g**(-52/3)
Simplify ((k/(k*k**1*k))**6/((k/(k*k*k**(-5)))/(k/(k*k*(k*k/k**(1/5))/k*k*k*k))))/(k**(-5)/(((k*k**(-5)*k*k*k)/k)/k*k))**(7/8) assuming k is positive.
k**(-727/40)
Simplify ((x**(2/13)*x)**(4/35)*x**(-12)/x**(-3/4))**(10/11) assuming x is positive.
x**(-20235/2002)
Simplify (((((p/(p*p**(-2/5)*p))/p)/p)/p*p)**(4/13)*(p*p*p**(2/7)*p)/(p**(-3/4)/p))**(-8/9) assuming p is positive.
p**(-1186/315)
Simplify (((j**(-9/2)/(j*j**6))/(j**(1/2))**(-9))**(12/5))**15 assuming j is positive.
j**(-252)
Simplify (((k**14)**(-35))**14)**(9/10) assuming k is positive.
k**(-6174)
Simplify (g/g**(-20/7)*g)**(-8/9)/(g**41/g*g**(-5/7)/g) assuming g is positive.
g**(-2684/63)
Simplify (((v**(-10)*v*v/v**0)/((v*v**(-1/20))/v*v*v/v**(2/27)))**(-8))**(-38) assuming v is positive.
v**(-405308/135)
Simplify (i**(-34))**(-7)/(i**(-1/6)*i**(-7/9)) assuming i is positive.
i**(4301/18)
Simplify ((j/(j**(1/2)/j))**(-3/4)*(j**(3/5)/j)/(j/j**3))/(j**8/j**8)**(22/3) assuming j is positive.
j**(19/40)
Simplify ((p**(-2/33)*p)/p)**(1/64)/(p*p**17)**37 assuming p is positive.
p**(-703297/1056)
Simp
|
{
"pile_set_name": "DM Mathematics"
}
|
4 (b) 15 (c) -0.13 (d) -0.04 (e) 0.1 (f) 0.4
a
Which is the second biggest value? (a) 553/6 (b) 5 (c) -5 (d) -1 (e) 0.14 (f) 0.2
b
What is the fourth smallest value in -144, -2/7, -0.07, 0, 4?
0
Which is the third smallest value? (a) 1 (b) -74/7 (c) 0.3 (d) 123/83
a
Which is the smallest value? (a) -3/2 (b) -23 (c) 7693
b
Which is the second smallest value? (a) -5/3 (b) 1/60 (c) -144
a
Which is the third smallest value? (a) -3/37 (b) -0.053 (c) 56
c
Which is the second smallest value? (a) 0.4 (b) 0.3 (c) 0.051 (d) 1/6
d
What is the smallest value in -8, -1/11, -393, -0.1?
-393
What is the third smallest value in -0.02, -7, 0, 34?
0
What is the biggest value in -1/9, -6, 0.03, -9, 3?
3
Which is the second smallest value? (a) 2.3 (b) -0.47 (c) -3 (d) 1 (e) 2/7
b
What is the smallest value in -380, 2/15, -0.1?
-380
What is the fourth smallest value in -4, -154, 4, 2/1129?
4
What is the third biggest value in -0.1, 2/5, 3, -3, 70/3?
2/5
What is the second biggest value in 818, -5, 1/3?
1/3
Which is the fourth biggest value? (a) -0.4 (b) -4 (c) -1 (d) 50 (e) 0.838
c
What is the second smallest value in -2/3, -1/3, -2277, -1?
-1
Which is the third biggest value? (a) 1.3 (b) 0.5 (c) 0 (d) 1 (e) -5 (f) -165
b
What is the second biggest value in -4, 0.3, -2/9393?
-2/9393
Which is the second smallest value? (a) -9 (b) 1/7 (c) -7.2
c
Which is the fourth smallest value? (a) 0.5 (b) 75 (c) 0.01 (d) -406
b
Which is the second biggest value? (a) 3/10 (b) 1/5 (c) 10/7 (d) 0.03 (e) 91
c
What is the third smallest value in -2/27, -0.9805, -6, -0.5, -0.3?
-0.5
What is the third biggest value in 271, -0.2, -1/245?
-0.2
Which is the fourth biggest value? (a) -2 (b) -1/10 (c) 0.052 (d) 0.15
a
What is the third biggest value in -2, -6, -4, 91, -8/7?
-2
What is the third smallest value in -1, 3573/4, -4/5, 0?
0
What is the biggest value in 22, -1, 0.4?
22
Which is the third smallest value? (a) -0.06 (b) -19267 (c) -2 (d) -0.01
a
Which is the fifth biggest value? (a) 43 (b) 556 (c) -0.5 (d) 0.1 (e) -11
e
What is the second biggest value in -2/9, 4, -2/451, -35, 3?
3
What is the fourth smallest value in 3.67, -27, -1, 3?
3.67
Which is the biggest value? (a) -2/7 (b) 18 (c) 0.2 (d) 7
b
What is the third biggest value in 0.3, 1, 0.1, 0.5, 2/15?
0.3
Which is the smallest value? (a) 1/17 (b) 3 (c) -3/4 (d) 2/3 (e) 0.02
c
Which is the second biggest value? (a) 0 (b) 1/5 (c) 874 (d) -2 (e) 2/15
b
Which is the fourth smallest value? (a) 4 (b) 114 (c) 0.8 (d) 69
b
What is the biggest value in -12, 1/3, 2/3, 925?
925
Which is the second smallest value? (a) -1 (b) -3 (c) -9 (d) -7 (e) -534
c
Which is the fourth smallest value? (a) -3/4 (b) 0 (c) -5151 (d) 3 (e) 5
d
Which is the second biggest value? (a) -1 (b) 3/5 (c) 23 (d) 0.4 (e) 3
e
What is the fourth smallest value in 0, -1, 2, -293, 11?
2
What is the third biggest value in -77, -246.5, -1/6?
-246.5
Which is the third biggest value? (a) -4/3 (b) 32.387 (c) 0
a
What is the smallest value in -15, 2.8, 4, 5, -0.05, 0?
-15
What is the smallest value in -141, 0.5, -213?
-213
Which is the second biggest value? (a) -31/5 (b) 2/15 (c) -2/27
c
What is the fifth smallest value in -3, -106, -2, 0, 2?
2
Which is the biggest value? (a) -198 (b) 3 (c) 133
c
What is the second biggest value in 2, -4393.95, 0.4?
0.4
What is the fifth smallest value in -1, 1, 1.3, -0.3, 1/3?
1.3
What is the fifth biggest value in 24, -10, -1, 0, 1, -4/43?
-1
What is the third smallest value in -0.4, 1, -13/8, 4, -3?
-0.4
What is the second smallest value in -0.2, -127, -0.14?
-0.2
What is the third biggest value in 0.4, -0.55, -1/5, -0.4, -3/7, 1/3?
-1/5
What is the smallest value in 3/4, -0.03, 168, 3, 0.1?
-0.03
What is the third smallest value in -5, 42, -10, 0.6?
0.6
What is the third smallest value in -56, 4.91, 0.3?
4.91
What is the second smallest value in -3/89, -8, -3, 2/3?
-3
Which is the smallest value? (a) -575.75 (b) -2/5 (c) -3/5
a
What is the smallest value in -3, -0.02, -2.86, 7?
-3
What is the second smallest value in 100, 760, 3/7?
100
Which is the smallest value? (a) -3/5 (b) 3/5 (c) 6 (d) -1 (e) -4/15
d
What is the third biggest value in 9/7, -0.2, 53, 0.04?
0.04
Which is the third smallest value? (a) -0.05 (b) -13/29 (c) -2 (d) 1/28
a
What is the fourth biggest value in -21, 0.5, -3/4, -0.1, 2/9, -59?
-3/4
Which is the smallest value? (a) -711 (b) -2.07 (c) 0.04 (d) 5
a
Which is the second biggest value? (a) -0.4 (b) -5 (c) 1244 (d) -0.2 (e) 0 (f) -0.9
e
What is the smallest value in 1, 4, 35.409, 2/5, -3?
-3
What is the second biggest value in -0.1, 0, -4/5, -2/31, 88, 0.1?
0.1
What is the sixth biggest value in 2.1, 3, 6, 0.1, -1/3, -13?
-13
What is the third biggest value in -5, 0, -0.196068?
-5
What is the second smallest value in 18, 2/393, -24?
2/393
Which is the biggest value? (a) -4/7 (b) -5/58 (c) -0.5 (d) 53
d
What is the second smallest value in 16, -0.06, 2, -10.13?
-0.06
What is the smallest value in 5.9, -15, -5, -0.08?
-15
What is the third smallest value in -66, 1/45, -0.1?
1/45
Which is the third biggest value? (a) 3/2 (b) 513 (c) -0.09 (d) -4.1
c
Which is the second biggest value? (a) 2/9 (b) -4 (c) 136 (d) -0.36
a
What is the second biggest value in -13, -3, -60.27?
-13
What is the third smallest value in -4, 12356, 0?
12356
What is the smallest value in 1.666, -2/3, -1/4, -0.1?
-2/3
Which is the second biggest value? (a) 0.2 (b) 6.733 (c) -2
a
Which is the fourth smallest value? (a) -4/5 (b) 0.2 (c) -1 (d) -0.7 (e) 827
b
Which is the biggest value? (a) -0.0299 (b) -137 (c) -0.3
a
Which is the third smallest value? (a) 22/7 (b) 4/23 (c) -2 (d) -2/9 (e) 1/4
b
Which is the third biggest value? (a) 0.3 (b) 406 (c) -8 (d) 1/3 (e) 0.03
a
Which is the fourth smallest value? (a) 2/207 (b) -1.13 (c) 3 (d) -0.1
c
What is the third biggest value in 8/13, 3, 2/27, 0.3, -9, -2?
0.3
Which is the third biggest value? (a) -1/3 (b) 5 (c) -94 (d) -4/115
a
What is the second smallest value in -0.3, 0.3, 0.71, -4, -33, 2?
-4
What is the second biggest value in 0.1, -60, -5/4?
-5/4
What is the fourth biggest value in -2/17, 4, -3, 37, -6?
-3
Which is the smallest value? (a) 3 (b) 0.1 (c) -0.15 (d) -2 (e) 4/21
d
Which is the smallest value? (a) 2 (b) 13/5 (c) 2/127 (d) 1/2 (e) -1
e
Which is the smallest value? (a) -32712 (b) 0.3 (c) -3
a
Which is the fourth biggest value? (a) 3 (b) 1/5 (c) -2067 (d) 3/2 (e) 2/11
e
Which is the second biggest value? (a) 0.3 (b) 0 (c) 1/3 (d) 1.4 (e) 95
d
Which is the second smallest value? (a) -1/7 (b) -0.4 (c) -5304/11 (d) -0.07
b
Which is the fourth smallest value? (a) 2/15 (b) 1.34 (c) 19 (d) 5
c
Which is the fifth smallest value? (a) 0.61 (b) -2/5 (c) -34 (d) -0.3 (e) 1
e
What is the second biggest value in -4/1933, 0.3, 3?
0.3
Which is the third biggest value? (a) -5/68 (b) -7 (c) 2/7 (d) 4 (e) 15/4
c
What is the smallest value in -1, -28900, -5, 4?
-28900
Which is the second biggest value? (a) -468 (b) 1.5 (c) -21
c
Which is the second smallest value? (a) 3/32 (b) 12/11 (c) -1.7 (d) 2 (e) 2/15 (f) -5
c
What is the smallest value in 1/3, -1/11, -730?
-730
Which is the fifth smallest value? (a) 2/31 (b) 21 (c) 1 (d) -9 (e) -5
b
Which is the smallest value? (a) 6 (b) 5 (c) -2.4 (d) 3 (e) 0
c
What is the fourth smallest value in 12, 0.5, 0.06, 5, -2/5, 0?
0.5
Which is the smallest value? (a) 4 (b) -150 (c) -15
b
What is the third biggest value in -0.01, 0, -3, 0.8, -0.11?
-0.01
What is the second biggest value in 4/9, -232, -15, 0.1, 3/7?
3/7
What is the second biggest value in -15.85, 2/11, 5, -0.7?
2/11
What is the smallest value in 5, 1/2, 0, 1/9, 1/3, -55?
-55
What is the second biggest value in 14, 0.3, -140/39, 0.5, 2?
2
What is the second smallest value in -105814, 0.5, -4?
-4
What is the second smallest value in 1, 0.2, 1/7, -0.282, 14, -0.4?
-0.282
Which is the sixth smallest value? (a) 2 (b) -0.1 (c) -3 (d) -1/5 (e) 0 (f) -16
a
Which is the second biggest value? (a) 1 (b) 2/7 (c) 6 (d) -287 (e) 0.1 (f) 4
f
What is the second smallest value in 26
|
{
"pile_set_name": "DM Mathematics"
}
|
when 253 is divided by 33.
22
What is the remainder when 101 is divided by 25?
1
What is the remainder when 84 is divided by 35?
14
Calculate the remainder when 671 is divided by 668.
3
Calculate the remainder when 3990 is divided by 1992.
6
Calculate the remainder when 282 is divided by 41.
36
Calculate the remainder when 391 is divided by 37.
21
Calculate the remainder when 1821 is divided by 24.
21
Calculate the remainder when 313 is divided by 126.
61
What is the remainder when 140 is divided by 25?
15
Calculate the remainder when 61 is divided by 14.
5
What is the remainder when 32 is divided by 17?
15
What is the remainder when 257 is divided by 75?
32
What is the remainder when 3186 is divided by 110?
106
Calculate the remainder when 17596 is divided by 7.
5
What is the remainder when 4555 is divided by 240?
235
Calculate the remainder when 170 is divided by 32.
10
Calculate the remainder when 18761 is divided by 53.
52
Calculate the remainder when 3620 is divided by 145.
140
What is the remainder when 375 is divided by 66?
45
Calculate the remainder when 4194 is divided by 16.
2
What is the remainder when 18 is divided by 7?
4
Calculate the remainder when 346 is divided by 13.
8
Calculate the remainder when 2437 is divided by 47.
40
Calculate the remainder when 995 is divided by 346.
303
Calculate the remainder when 280 is divided by 10.
0
What is the remainder when 915 is divided by 412?
91
Calculate the remainder when 169 is divided by 42.
1
What is the remainder when 59 is divided by 41?
18
What is the remainder when 1167 is divided by 16?
15
What is the remainder when 719 is divided by 19?
16
Calculate the remainder when 16 is divided by 8.
0
What is the remainder when 2340 is divided by 87?
78
Calculate the remainder when 19542 is divided by 28.
26
What is the remainder when 982 is divided by 141?
136
What is the remainder when 587 is divided by 10?
7
What is the remainder when 2254 is divided by 37?
34
Calculate the remainder when 4028 is divided by 29.
26
What is the remainder when 37881 is divided by 33?
30
What is the remainder when 2307 is divided by 154?
151
Calculate the remainder when 6 is divided by 1.
0
Calculate the remainder when 2942 is divided by 16.
14
Calculate the remainder when 217 is divided by 81.
55
Calculate the remainder when 119 is divided by 78.
41
Calculate the remainder when 209 is divided by 42.
41
What is the remainder when 142 is divided by 66?
10
Calculate the remainder when 10190 is divided by 40.
30
What is the remainder when 311 is divided by 74?
15
Calculate the remainder when 593 is divided by 17.
15
Calculate the remainder when 417 is divided by 131.
24
What is the remainder when 327 is divided by 74?
31
What is the remainder when 10923 is divided by 16?
11
Calculate the remainder when 148 is divided by 38.
34
Calculate the remainder when 38 is divided by 32.
6
Calculate the remainder when 109 is divided by 45.
19
What is the remainder when 341 is divided by 90?
71
Calculate the remainder when 131 is divided by 70.
61
What is the remainder when 37012 is divided by 93?
91
What is the remainder when 163 is divided by 24?
19
Calculate the remainder when 111 is divided by 99.
12
What is the remainder when 14 is divided by 11?
3
Calculate the remainder when 45 is divided by 23.
22
What is the remainder when 10 is divided by 1?
0
What is the remainder when 9486 is divided by 11?
4
What is the remainder when 194 is divided by 27?
5
What is the remainder when 175 is divided by 37?
27
Calculate the remainder when 179 is divided by 68.
43
Calculate the remainder when 231 is divided by 107.
17
What is the remainder when 384 is divided by 130?
124
Calculate the remainder when 73 is divided by 40.
33
Calculate the remainder when 7003 is divided by 23.
11
Calculate the remainder when 1304 is divided by 12.
8
Calculate the remainder when 294 is divided by 25.
19
Calculate the remainder when 1190 is divided by 1187.
3
Calculate the remainder when 2731 is divided by 2723.
8
Calculate the remainder when 644 is divided by 40.
4
Calculate the remainder when 482 is divided by 162.
158
Calculate the remainder when 753 is divided by 127.
118
Calculate the remainder when 170 is divided by 78.
14
Calculate the remainder when 193 is divided by 71.
51
Calculate the remainder when 272 is divided by 61.
28
Calculate the remainder when 113 is divided by 48.
17
What is the remainder when 54 is divided by 8?
6
Calculate the remainder when 360 is divided by 73.
68
What is the remainder when 188 is divided by 38?
36
Calculate the remainder when 88 is divided by 17.
3
Calculate the remainder when 27 is divided by 24.
3
What is the remainder when 102 is divided by 10?
2
What is the remainder when 95 is divided by 85?
10
What is the remainder when 3977 is divided by 27?
8
What is the remainder when 2856 is divided by 159?
153
What is the remainder when 1918 is divided by 38?
18
Calculate the remainder when 1317 is divided by 33.
30
What is the remainder when 322 is divided by 260?
62
Calculate the remainder when 28 is divided by 11.
6
Calculate the remainder when 3753 is divided by 85.
13
Calculate the remainder when 42 is divided by 5.
2
Calculate the remainder when 20 is divided by 17.
3
Calculate the remainder when 9293 is divided by 99.
86
What is the remainder when 6347 is divided by 18?
11
Calculate the remainder when 282 is divided by 17.
10
Calculate the remainder when 122 is divided by 10.
2
Calculate the remainder when 51 is divided by 9.
6
What is the remainder when 128 is divided by 11?
7
What is the remainder when 114 is divided by 9?
6
What is the remainder when 745 is divided by 182?
17
What is the remainder when 373 is divided by 19?
12
What is the remainder when 9588 is divided by 7?
5
Calculate the remainder when 39 is divided by 39.
0
What is the remainder when 139 is divided by 52?
35
Calculate the remainder when 2878 is divided by 712.
30
What is the remainder when 194 is divided by 18?
14
Calculate the remainder when 663 is divided by 206.
45
Calculate the remainder when 207 is divided by 33.
9
What is the remainder when 128 is divided by 27?
20
Calculate the remainder when 250 is divided by 68.
46
Calculate the remainder when 127 is divided by 13.
10
Calculate the remainder when 17 is divided by 8.
1
Calculate the remainder when 1363 is divided by 192.
19
Calculate the remainder when 831 is divided by 411.
9
What is the remainder when 396 is divided by 390?
6
Calculate the remainder when 1231 is divided by 417.
397
Calculate the remainder when 262 is divided by 44.
42
What is the remainder when 97 is divided by 11?
9
Calculate the remainder when 172 is divided by 79.
14
What is the remainder when 863 is divided by 9?
8
What is the remainder when 78 is divided by 25?
3
Calculate the remainder when 207 is divided by 49.
11
Calculate the remainder when 42 is divided by 18.
6
Calculate the remainder when 956 is divided by 288.
92
Calculate the remainder when 272 is divided by 94.
84
What is the remainder when 124 is divided by 14?
12
Calculate the remainder when 161 is divided by 61.
39
What is the remainder when 153 is divided by 4?
1
Calculate the remainder when 244 is divided by 16.
4
What is the remainder when 111 is divided by 14?
13
What is the remainder when 173 is divided by 56?
5
What is the remainder when 326 is divided by 22?
18
What is the remainder when 323 is divided by 4?
3
What is the remainder when 244 is divided by 62?
58
Calculate the remainder when 1828 is divided by 63.
1
Calculate the remainder when 213 is divided by 110.
103
Calculate the remainder when 76 is divided by 13.
11
What is the remainder when 426 is divided by 15?
6
Calculate the remainder when 106 is divided by 55.
51
What is the remainder when 159 is divided by 42?
33
What is the remainder when 457 is divided by 11?
6
Calculate the remainder when 10 is divided by 5.
0
What is the remainder when 125 is divided by 30?
5
What is the remainder when 15469 is divided by 170?
169
Calculate the remainder when 294 is divided by 71.
10
Calculate the remainder when 76 is divided by 11.
10
What is the remainder when 606 is divided by 32?
30
Calculate the remainder when 48 is divided by 23.
2
Calculate the remainder when 6958 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the fourth smallest value in -0.2, w, 5, 3/2?
5
Let m = 101 - 99. Let v = -0.3 + 0.6. What is the second smallest value in -2/9, v, m?
v
Let t = -56.99 - -55. Let b = 0.01 - t. Let z = -24.5 - -24. What is the second smallest value in b, -3, z?
z
Let u = 0.31 - 5.31. What is the second smallest value in -2/3, 0.5, u?
-2/3
Let s = -1.3 + 6.3. Let r = -1117/9 + 124. Which is the smallest value? (a) r (b) 3 (c) s
a
Let l = 1/203 + 4/29. Let v = 18.7 + -19. Let x be (-5)/(-2)*12/15. Which is the biggest value? (a) v (b) x (c) l
b
Let f be (2/(-6))/((-21)/(-9)). Let s = -1.2 + -0.8. Which is the second biggest value? (a) -0.5 (b) s (c) f
a
Let g = -38.3 + 37. Which is the second biggest value? (a) -3 (b) g (c) -1
b
Let k = -4.13 + 0.13. What is the smallest value in 3/5, k, -3?
k
Let g = -139/132 + 10/33. What is the third biggest value in 0.3, g, -0.3?
g
Let h be 3/(-2) - 39/(-26). What is the third biggest value in 1/2, -5/3, h?
-5/3
Let p = -7 + 13. Let h = 2 - p. Which is the second smallest value? (a) 0.3 (b) h (c) -4/5
c
Let g(j) = -j**3 - 2*j**2 - j - 1. Let z be g(-1). Let w be (-5)/z*3/5. Let b = 0.11 + 0.39. What is the biggest value in b, w, 5?
5
Let u = 8 + -8.2. Suppose 2*l - 4*l + 10 = 0. Which is the third biggest value? (a) l (b) 0 (c) u
c
Let k = 12.2 - 7.2. What is the biggest value in -1, 1, k?
k
Let w = -59 + 59. What is the second smallest value in 4, w, 0.4, 2/17?
2/17
Let t = -0.7 + -3.3. Let u = t + -1. What is the third smallest value in u, 2/5, 1/5?
2/5
Let z = -13 + 12.9. Let l = -30 - -25. Which is the third biggest value? (a) l (b) z (c) -3
a
Let f = 1.5 - 1.6. Which is the second biggest value? (a) -2 (b) f (c) 4/3
b
Let g = 4.9 - 0.9. Which is the third smallest value? (a) g (b) 3 (c) -2
a
Let z = -12 + 10. Which is the third smallest value? (a) 5 (b) 7 (c) z
b
Let u = 120 - 119.5. Let z be 2/4 - (-2 + 1). What is the smallest value in -2, u, z?
-2
Let k be (4/21)/(14/21). What is the second biggest value in k, 0, -0.4?
0
Let o = 4/9379 + -966333/694046. Let r = o - 4/37. Which is the second biggest value? (a) 3 (b) 5/3 (c) r
b
Let a(y) = 2*y**2 + y - 2. Let d be a(-3). Suppose -q + 0*f + d = -4*f, -3*f - 27 = 5*q. What is the second biggest value in -0.5, q, 4?
-0.5
Let o be (-28)/8*15/(-70). Which is the third smallest value? (a) -0.03 (b) 5 (c) -3 (d) o
d
Suppose -4*f - 4*j - j = -30, -3*j + 16 = 2*f. Let t be ((-1)/f)/(2/5). Let r = 0.87 + 4.13. Which is the third biggest value? (a) -0.4 (b) t (c) r
b
Let r = 0.18 + 0.32. Let v = r - 4.5. What is the biggest value in v, -4/3, 2?
2
Let c = 13.3 + -13. What is the third smallest value in -0.05, c, 2?
2
Suppose 4*v - s = -3*s + 20, 3*v - 4 = 4*s. Let k(u) = -u**2 + 3*u + 5. Let b be k(v). What is the second biggest value in 5, b, -4?
b
Let p = -4 + 15/4. Let s = 42619/96 + -145/288. Let x = 443 - s. What is the third biggest value in p, x, 0.4?
x
Suppose -i = 5*d - 11, 6*i = 2*i - d + 6. Which is the second biggest value? (a) i (b) -0.2 (c) -5/4
b
Let x = -3/8 - -47/168. Let f = 1835/13 + -141. Which is the biggest value? (a) -1/3 (b) x (c) f
c
Let c = -19 + 19.19. Let x = c + -3.19. What is the second smallest value in x, 2, 0.08?
0.08
Let z = -9/2 + 61/14. Let u = 4.91 - -0.09. Let t = 0.1 + -0.6. Which is the smallest value? (a) z (b) t (c) u
b
Let u = -129 - -131. Which is the biggest value? (a) 1 (b) -2/3 (c) -1 (d) u
d
Let m = 0.317 + -0.117. Which is the second biggest value? (a) 3 (b) m (c) 5 (d) -9
a
Let k = -2.5 + -2.5. What is the second smallest value in -1/4, k, -0.1?
-1/4
Let x = -31580813118/2387 + -1293345084406/3449215. Let g = x + 13605305. Let m = g + 2/289. Which is the smallest value? (a) -5 (b) m (c) 5
a
Let u = 9.1 + -8.7. Let i = -2/67 + 71/134. Which is the smallest value? (a) -4/3 (b) i (c) u
a
Let i = -0.052 - -4.152. Let c = i - 4. Let z = c - 0.3. What is the second smallest value in 0.3, z, 4?
0.3
Let r = -26 - -17. Let k = r + 8.5. Let q be (1 + -2)*-5*1. Which is the smallest value? (a) q (b) k (c) 2
b
Suppose 28 - 40 = 3*u. Which is the biggest value? (a) 8 (b) 3/8 (c) u (d) 4
a
Suppose -2*o = -b - 6 - 23, 4*b = -4. Let f be (7 - 11)*(-1)/o. What is the third biggest value in 4, -0.5, f?
-0.5
Let x = 0.031 - 1.031. What is the third biggest value in -0.5, x, -6, 0.5?
x
Let z be (-10)/(-2) - (-11 + (25 - 11)). Let k be (4/(-10))/((-2)/20). What is the biggest value in z, 0.4, k?
k
Let f be (-2)/(1/2 - 1). Let y = -8.8 + 8.9. Let n = -0.34 - 0.06. Which is the second smallest value? (a) y (b) f (c) n
a
Let p = 32.4 - 32. Which is the biggest value? (a) 0.3 (b) p (c) -3/8 (d) 2
d
Let d = -0.54 - -0.24. What is the smallest value in -4, d, -1/3?
-4
Let f = 0.6 + -4.6. Let d = -7 - -5. Let l = d - -1.8. What is the third biggest value in l, 0.4, f?
f
Let y = -8 - -6. Let l be 2 + (-3)/(9/(-6)). What is the smallest value in y, l, -1/4?
y
Let s = -0.6 - -1. Let a be 3/(-36)*64/(-12). What is the third smallest value in -3, a, s?
a
Let f be (-4)/14 - (-45)/84. Let g = 3.6 + 0.4. What is the smallest value in f, -4, g?
-4
Let h be 8/6 + (-2)/2. Let g = 67 + -68. Which is the third biggest value? (a) 1/8 (b) g (c) h
b
Let w = -0.1 - 0.9. Let g be -1*(2 - (-2 + 5)). What is the third smallest value in -0.5, w, g?
g
Let d be (-2)/(-30) - 10/25. Which is the third smallest value? (a) d (b) 5/4 (c) -3
b
Let x = -6.03 + 6. Let m = 0.52 - x. Let s = 0.05 - m. Which is the smallest value? (a) s (b) -2 (c) 4/3
b
Let v = -1.23 + 1.03. Which is the fourth smallest value? (a) 1/4 (b) 0 (c) 0.1 (d) v
a
Let z = -14 + 16.6. Let o = -6 + 3. Let d = z + o. Which is the biggest value? (a) 1 (b) -0.3 (c) d
a
Let x = 0 + 4. Let w = x + -3.5. What is the second biggest value in 3, w, 2/13?
w
Let t = 78 + -73. What is the third smallest value in 1/4, t, 3?
t
Let m = -40 - -44. Which is the smallest value? (a) -1/4 (b) 1/5 (c) m (d) 5/6
a
Let q be ((-4)/(-10))/(434/35). Let z = -117/217 - q. Which is the second biggest value? (a) -3 (b) -1/6 (c) z
c
Let s = 0.6 + -1. Let c = -65 - -60. What is the third smallest value in c, s, 0.3?
0.3
Let u be (-6)/15 + 0/(-1). Let m = -205 - -202. What is the smallest value in 4, m, u?
m
Let w = -0.65 + -0.25. Let s = w - -1.9. Which is the biggest value? (a) 0.3 (b) s (c) -5
b
Let u = 0.1 - -0.9. Let l = 17.5 - 17. Which is the smallest value? (a) l (b) u (c) 0.1
c
Let v = 4.01 + -0.01. Let x = 0.06 - 0.26. Which is the third smallest value? (a) -4/5 (b) x (c) v
c
Let z = -12 + 21. Let j = -3 + z. Let o = j + -5.7. What is the smallest value in o, -4, -2?
-4
Let z be ((-7)/7)/(-4*1). Which is the third biggest value? (a) -9 (b) z (c) 2/3
a
Let l = 20 + -15. Suppose -4*d + 2*p + 4 = 0, 0 = -l*d + p + 5 - 0. Which is the third smallest value? (a) -0.3 (b) d (c) 2
c
Let m = 50/9 + -133/45. What is the third biggest value in -1/4, m, -2, -0.2?
-1/4
Suppose -z - 2*z + 10 = -4*p, -3*p - 7 = -2*z. Let j be ((-2)/(-16))/(3/20). Which is the third smallest value? (a) j (b) z (c) 1
b
Let o = -77 - -75. What is the fourth smallest value in -1, o, -0.02, -3?
-0.02
Suppose 0*k - 3*k = -4*z + 2, 43 = 3*k + 5*z. Let y(g) = -g**2 + 7*g - 6. Let l be y(k). What is the smallest value in 2/5, l, -1?
-1
Let u(a) = a**3 - 5*a**2 + 4*a. Let p be u(4). Let w = -37/4 + 9. What is the third smallest value in 2, p, w?
2
Let u = 126.02 + -123. Let l = u + -0.02. What is the smallest value in l, 0.5, 0?
0
Let i(q) = q**3 - 16*q**2 - q + 21. Let b be i(16). What is the second smallest value in b, 2/5, 2/15?
2/5
Let s = -5 + 4.7. Let r = -0.07 - -0.57. What is the smallest value in s, -1, r?
-1
Let t = -0.7 - -0.2. Suppose 0 = 4*g - i + 13, 3*g = -i - i - 18. Let q(w) = -w**2 - 5*w. Let j be q(g). What is the second smallest value in 2/9, j, t?
2/9
Let u = -0.43 - 1.57. Let x = 0 + 0.2. Let w = 4.2 - x. What is the smallest value in 1, u, w?
u
Let n = -4 - -3. Let o = n - 5. Let x = -6.3 - o. Which is the second biggest value? (a) 3 (b) 4 (c) x
a
Let y = 43 + -38. What is the biggest value in 0.1, -4, y?
y
Let f be -2*((-5)/(-35) - 0). Which is the biggest value? (a) 2 (b) -5 (c) f
a
Let f = -0.7 + 0.7. Suppose -4*n = -3*n +
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-x**3 + 4*x - 1
Let r(g) = 25*g**3 + 7*g**2 - 13*g + 27. Let m(d) = -d**3 + 2*d**2 - 3*d - 1. What is -4*m(v) + r(v)?
29*v**3 - v**2 - v + 31
Suppose -46*c + 79 = -427. Let n(j) = 2*j. Let r(p) = 10*p + 1. Let i be ((-6)/(-4))/(21/(-28)). Give c*n(y) + i*r(y).
2*y - 2
Let a(b) = 11*b - 18. Let m(r) = -5*r + 4708 - 4714 + 9*r. Calculate -6*a(q) + 17*m(q).
2*q + 6
Let l(u) = -u**2 + u. Suppose 2*z - 9 + 2 = 3*i, z - 3*i - 11 = 0. Let v(o) = -248*o**2 - 1 + 1 - 22*o + 249*o**2 + 21*o. Give z*l(h) - 3*v(h).
h**2 - h
Let n(h) be the second derivative of -5*h**4/12 + h**3/2 + 3*h**2/2 - 89*h - 2. Let c(a) = -4*a**2 + 2*a + 2. Suppose 4*s + 10 = 9*s. What is s*n(z) - 3*c(z)?
2*z**2
Let r(s) = -5*s**3 + 3*s - 6. Let d(k) = 27*k**3 - 77*k + 2. Let n(q) = -25*q**3 + 69*q - 3. Let t(l) = -8*d(l) - 9*n(l). Calculate -11*r(g) - 6*t(g).
g**3 - 3*g
Suppose -1 = l - 3. Let g(w) = 0*w**l + 2 + 5 - 6 - 2*w**2 + 2*w. Let d(y) = 2*y**2 - 3*y - 1. Calculate 4*d(q) + 6*g(q).
-4*q**2 + 2
Let i(b) = 4*b + 2. Let p(h) = -14*h. Calculate -3*i(r) - 6*p(r).
72*r - 6
Let b(i) = 21*i**3 + 120*i**2 - 28*i - 9. Let r(p) = 7*p**3 + 40*p**2 - 8*p - 3. Determine -2*b(c) + 7*r(c).
7*c**3 + 40*c**2 - 3
Let z(f) = -6. Let b(v) be the second derivative of v**3/6 + 7*v**2/2 + v - 207. Let s be (-8)/16 - 11/(-2). Give s*z(k) + 4*b(k).
4*k - 2
Let s(a) = -5*a**2 - a - 13. Let l(q) = 138 + 6*q + 26*q**2 - 9 - 63. Determine 3*l(o) + 16*s(o).
-2*o**2 + 2*o - 10
Let b(r) = 4*r**2 - 9*r - 24. Let c(o) = -o**2 + 4*o + 8. Determine -3*b(k) - 10*c(k).
-2*k**2 - 13*k - 8
Let q(s) = -3. Let u be 3/(-2)*((-8)/(-14) + (-552)/84). Let c(g) = -g - 11. Determine u*q(a) - 2*c(a).
2*a - 5
Let d(k) = -3*k - 1. Let o(b) = -10*b - 1. Let m(r) = -11*r - 1. Let n(l) = m(l) - o(l). Determine -d(h) - n(h).
4*h + 1
Let x(k) = 29*k**2 - 8*k - 15. Let o(j) = 33*j**2 - 9*j - 18. Let f(l) = -5*o(l) + 6*x(l). Let g(z) = 19*z**2 - 7*z + 1. Give -5*f(q) + 2*g(q).
-7*q**2 + q + 2
Let x(d) = 10*d**2 + 10*d - 2188. Let l(u) = 4*u**2 + 4*u - 1092. Determine -7*l(h) + 3*x(h).
2*h**2 + 2*h + 1080
Suppose 14*p = 95*p + 211*p + 1460. Let t(k) = -18*k**2. Let u(n) = 37*n**2 - 1. What is p*t(z) - 2*u(z)?
16*z**2 + 2
Let l(g) = 3*g + 3. Let c = 642 - 627. Let w be (-5)/(c/12)*(-13)/(-13). Let n(h) = -1 + 2 - 9*h - 9. Determine w*n(f) - 11*l(f).
3*f - 1
Let x(h) = 84*h**2 + 8*h - 267. Let u(o) = -83*o**2 - 8*o + 229. What is -7*u(l) - 6*x(l)?
77*l**2 + 8*l - 1
Let b(z) = 3 + 9 + 8 + 8 - 33 - z. Let i(r) = 2*r + 11. Determine -5*b(p) - 2*i(p).
p + 3
Let d(k) = -k**3 + 2*k**2 - 4*k - 6. Let c(l) be the first derivative of -1/2*l**2 + 121 - l. What is 4*c(r) - d(r)?
r**3 - 2*r**2 + 2
Let r(s) = -s - 1. Let x(z) = -200*z - 220. Let t(n) = -n**3 + 30*n**2 - 57*n + 908. Let u be t(28). Calculate u*r(i) - 4*x(i).
-80*i
Let o(z) = -4*z**3 - 4*z**2 - 36*z - 7. Let i(k) = -5*k**3 - 6*k**2 - 38*k - 6. What is -2*i(l) + 3*o(l)?
-2*l**3 - 32*l - 9
Let x(k) = 103*k**2 - 43*k - 3. Let z(c) = 34*c**2 - 15*c - 1. Give 6*x(w) - 17*z(w).
40*w**2 - 3*w - 1
Let v(p) = -2*p**3 + 4*p**2 + 3*p + 4. Let o = -1765 - -1769. Let n(x) = 5*x**3 - 9*x**2 - 7*x - 9. What is o*n(d) + 9*v(d)?
2*d**3 - d
Let a(j) = 34*j**2 + 6*j + 19. Let i(z) = -67*z**2 - 11*z - 38. Give 9*a(q) + 5*i(q).
-29*q**2 - q - 19
Let v(c) = -c + 655. Let i(p) = 434. Give 8*i(l) - 5*v(l).
5*l + 197
Let k(f) be the third derivative of -f**4/3 - f**3 + 51*f**2. Let o be k(-6). Let j(q) = 60*q**2 + 42. Let a(w) = -7*w**2 - 5. Give o*a(y) + 5*j(y).
6*y**2
Let f(p) = -p**2 + 758*p - 6. Let o(s) = -32*s - 1. What is -f(y) + 5*o(y)?
y**2 - 918*y + 1
Let q(a) = -75*a - 56. Let z(h) = -39*h - 25. Determine -4*q(c) + 9*z(c).
-51*c - 1
Let d(l) = -115*l + 3. Let c(o) = -o - 1. Calculate 5*c(v) + d(v).
-120*v - 2
Let s(d) = 8*d**2 + 27*d - 35. Let f(j) = -j**2 + 6. Determine -6*f(q) - s(q).
-2*q**2 - 27*q - 1
Let h be (-12)/(-6) + -1 + 28. Suppose 19*z - h = 48*z. Let o(i) = i + 1. Let r(v) = -4*v - 5. Determine z*r(m) - 6*o(m).
-2*m - 1
Let u(l) = 10*l**2 + 2*l - 18. Let j(q) = 13*q**2 + 2*q - 29. Calculate -9*j(s) + 12*u(s).
3*s**2 + 6*s + 45
Suppose -2*k = k + j - 11, -2*j + 1 = -k. Let m = -92 - -87. Let r(v) = v**2 - 2*v - 2. Let z(d) = -d**2 + d + 3*d**2 - 5*d - 3. Determine k*z(c) + m*r(c).
c**2 - 2*c + 1
Let l(x) = 16*x**3 - 7*x**2 + 68*x + 2. Let u(c) = -6*c**3 + 2*c**2 - c - 1. Determine -l(d) - 3*u(d).
2*d**3 + d**2 - 65*d + 1
Let h(w) = 2*w. Suppose 222*s - 211*s - 55 = 0. Let b(q) = 2903 + s*q + 0*q - 2904. What is 2*b(l) - 6*h(l)?
-2*l - 2
Let o(m) be the first derivative of -53*m**3/3 + 3*m**2/2 - m + 12518. Let v(u) = 26*u**2 - u. What is -2*o(t) - 5*v(t)?
-24*t**2 - t + 2
Let z(j) = 7*j + 2. Suppose v + 10 = 3*a, 5*v - 2 + 0 = 2*a. Let o(g) = -445044*g - 72 + 445043*g + 71. Give v*o(t) + z(t).
5*t
Let a(j) = -4*j + 2. Let i(o) = 38 - 59 + 20 + o. Calculate -2*a(y) - 4*i(y).
4*y
Let a(b) = -23*b**3 - b**2 - 11*b + 19. Let v(n) = 48*n**3 + 2*n**2 + 21*n - 35. What is -11*a(h) - 6*v(h)?
-35*h**3 - h**2 - 5*h + 1
Let n(c) = -173. Let l(q) = -52. Let x(d) = 10*l(d) - 3*n(d). Let i(a) = a - 22. What is -i(s) + 5*x(s)?
-s + 17
Let n be -6 + 8 + -7 + -4. Let j(q) = -q**3 - 12*q**2 - 25*q. Let c be j(n). Let i(h) = 7*h**2 + 5*h + 5. Let l(w) = -24*w**2 - 18*w - 18. Give c*i(z) - 5*l(z).
-6*z**2
Let y(s) = 4*s**3 + 2*s**2 - 6*s + 4. Let i(l) = -20*l**3 - 9*l**2 + 30*l - 21. Give 2*i(m) + 11*y(m).
4*m**3 + 4*m**2 - 6*m + 2
Let s(c) = 6*c**3 + c**2 + 7*c - 26. Let p(l) be the second derivative of -l**5/10 - l**3/3 + 9*l**2/2 - 4*l + 220. Determine -7*p(f) - 2*s(f).
2*f**3 - 2*f**2 - 11
Let q = -1280 - -1287. Let x(j) = j + 9 - 19 + 12 + 2 + q. Suppose -2*i - 7 = -k - 0, 0 = -5*k + 5*i + 35. Let g(o) = o + 16. What is k*x(l) - 5*g(l)?
2*l - 3
Let x(u) = -u**3 - 2*u**2 + 2*u - 2. Let t(r) = 215*r**3 - 1 - 653*r**3 + 218*r**3 - r + r**2 + 219*r**3. Give 2*t(g) + x(g).
-3*g**3 - 4
Let n(m) = -m**3 + m + 1. Let u be 108/18*6/(-9) + -32. Let f(k) = -2*k**3 + 9*k + 9. What is u*n(r) + 4*f(r)?
28*r**3
Let d(p) = -43*p**2 + 35*p - 12. Let f(r) = -44*r**2 + 32*r - 8. Calculate -2*d(x) + 3*f(x).
-46*x**2 + 26*x
Let m(d) = 85*d - 37*d - d**2 - 45*d. Let w(p) = p. Calculate 2*m(n) - 7*w(n).
-2*n**2 - n
Let o(l) be the third derivative of 7*l**6/120 - l**5/60 - l**3 + 12324*l**2. Let j(k) = -7*k - k**2 + 2*k + 4*k**3 + 5*k - 3. What is -5*j(s) + 3*o(s)?
s**3 + 2*s**2 - 3
Let k be (-5)/1 - ((-45)/(-225) - 162/10). Let q(y) = -4*y**3 + 3*y**2 - 6. Let j(s) = -7*s**3 + 5*s**2 - 11. Give k*q(l) - 6*j(l).
-2*l**3 + 3*l**2
Let f(d) = 41684 + 120*d**3 + 290*d**3 + 85*d**3 - 41717 + 33*d**2. Let v(a) = 31*a**3 + 2*a**2 - 2. Calculate 2*f(s) - 33*v(s).
-33*s**3
Let o(k) = -5*k**3 + 6*k**2 - 6*k. Let x(h) = -3*h**3 + 5*h**2 - 5*h. Give 5*o(u) - 6*x(u).
-7*u**3
Let t(i) = 143*i**3 + 5*i**2 + 5*i - 1. Let y(j) = 3*j**3 + j**2 + j. Calculate 4*t(b) - 20*y(b).
512*b**3 - 4
Let q(u) = 3*u**3 + 10*u**2 + 4*u - 9. Let y(p) = -p**3 - 5*p**2 - 2*p + 4. Let z be (54/150*5)/(8/40). Determine z*y(g) + 4*q(g).
3*g**3 - 5*g**2 - 2*g
Let b = -1088 - -1089. Let i(c) = c. Let n(y) = -2*y - 2. Give b*n(a) + 3*i(a).
a - 2
Let f(h) = -286*h**3 + 42*h**2 + 13*h. Let d(y) = -y**2 - y. What is -13*d(g) - f(g)?
286*g**3 - 29*g**2
Let i(b) = -b**2 + 15*b - 9. Let o(c) = -c**2 + 37*c - 19. Calculate -15*i(p) + 6*o(p).
9*p**2 - 3*p + 21
Let m(h) = 2*h - 3. Let t(a) = -2*a**3 - 82*a**2 + 83*a - 39. Let r be t(-42). Let g(w) = -3*w + 5. Determine r*g(o) + 5*m(o).
o
Let a(s) = -2*s**2 + 3*s - 3. Let u(g) = g**2 - g + 1. Let z = 4905 - 4907. What is z*a(l) - 6*u(l)?
-2*l**2
Suppose 271*i + 4*u + 28 = 275*i, 5*u - 15 = -5*i. Let k(n) = n**3 + 5*n**2 + 5*n + 12. Let m(o) = -o**3 - 6*o**2 - 6*o - 13. Give i*m(t) + 6*k(t).
t**3 + 7
Let t(j) = j - 14. Let f(a) = -3. Let g be 663/78 - 10/(-4). Give g*f(z) - 2*t(z).
-2*z - 5
Let k(a) = 2*a + 8. Let g(r) = 46*r - 9 - 24*r - 25*r. Let v(q) = q + 3. Let x(o) = -2*g(o) - 5*v(o). Determine 3*k(s) - 8*x(s).
-2*s
Let l(t) = -111924*t**2 + 102597*t - 1846746. Let n(q) = -q**2 + q - 18. What is l(r) - 102597*n(r)?
-9327*r**2
Let p(u) = -u**3 + 2*u**2 - 4*u - 3. Let t(g) = 4*g**3 - 11*g**2 + 16*g + 13. Give -9*p(i) - 2*t(i).
i**3 + 4*i**2 + 4*i + 1
Let w(f) = 81*f**3 - 5*f**2 - 19*f - 12. Let r(q) = -324*q
|
{
"pile_set_name": "DM Mathematics"
}
|
et j = 1 - x. Let i be (1*12)/3 - j. Solve 0*o - i = o for o.
-5
Let s(n) = -3*n**2 - n + 1. Let g(r) = -9*r**2 - 4*r + 3. Let z(f) = 2*g(f) - 7*s(f). Let w be z(2). Let t be 2/7 + (-201)/(-7). Solve 0 = -5*m + t - w for m.
4
Suppose 5*i = -3*t - 11, i + 31 = -5*t - i. Let g = -2 - t. Let p = -1 + g. Solve 0 = d + p*d - 15 for d.
3
Let z(p) = 3*p - 1. Suppose m + m + 4*j - 2 = 0, 5 = 5*m - 2*j. Let o be z(m). Suppose -4 = o*k - 3*k. Solve l + 0 + k = 0 for l.
-4
Suppose 0 = -5*c + 5*k - 10, 0 = 2*c + 3*k - 0*k - 16. Solve 0 = c*o + 3*o for o.
0
Let q = 11 - 4. Suppose 6*u - 4 = 4*u. Solve -u*y = -q*y for y.
0
Suppose -4*l = -l - 9. Suppose 5*j + 5 = 4*o, 12 = 3*j - 4*j + l*o. Suppose f = 2*x - j*f - 2, 30 = 2*x + 3*f. Solve -2*p = p + x for p.
-3
Let x = 19 + -14. Let l = x - 5. Solve l = -3*u + u for u.
0
Suppose 5*p = 3*p - y + 8, -p + 4 = -4*y. Suppose 0 = -5*j - 0*j. Solve 0 = m - j + p for m.
-4
Suppose -w - 2*x + 5 = -x, -3*x = 12. Solve 5*c - w = 2*c for c.
3
Let x(r) = -r**2. Let g be x(0). Solve g*v + 10 = 2*v for v.
5
Suppose -2 = -3*t + 2*t. Solve -2*l + t = -l for l.
2
Suppose -4*i = 6 - 42. Solve 0 = 3*v - 0*v - i for v.
3
Let h = -91 + 95. Solve -8 = -0*f - h*f for f.
2
Let g(z) = z**3 - 3*z**2 + 2*z - 1. Suppose -o = -p + 4*p - 18, -5 = -p. Let b be g(o). Solve -b + 13 = 2*h for h.
4
Let a(f) = 4*f - 3. Suppose -4*c + 22 = -6. Let n(l) = -l + 9. Let b be n(c). Let i be a(b). Solve -g = -i*g for g.
0
Suppose 3*q + n = 10, 6*n - 18 = -q + 2*n. Suppose -6*c + q*c = -12. Solve -4*w - c = 5 for w.
-2
Suppose 0 = -4*c - 47 - 37. Let k be (-2)/8 + c/(-4). Solve k*d = 3*d - 2 for d.
-1
Let t(c) = -c - 10. Let p(i) = -i - 5. Let f be p(5). Let a be t(f). Solve a = 4*m + 3 + 9 for m.
-3
Let b be 10/4*(-9 - -15). Solve p + 2*p = b for p.
5
Let j(y) = y**2 + 10*y + 5. Let m be j(-10). Let l(h) = 1 + h**2 - m*h + h**2 + 1 + 0*h**2. Let a be l(3). Solve -4*k + a = -7 for k.
3
Let g(q) be the second derivative of q**4/12 + q**3/2 - 2*q. Let o be g(-5). Solve 5*a = 3*a + o for a.
5
Let l(z) = 2*z**3 - z + 1. Let s be l(1). Let f = s - -2. Solve 5 = o + f*o for o.
1
Let g(d) = d**2 - 5*d + 7. Let z be g(4). Let m be (4/z)/((-4)/(-12)). Solve 6 = -m*f + f for f.
-2
Suppose -q + 13 = 11. Solve r + 15 = -q*r for r.
-5
Let q be -1*-1*(-1 - -1). Solve -z - 5 + 0 = q for z.
-5
Suppose -3*j + 0*j - 3*r = -21, -j = -5*r - 7. Let m = -4 + j. Suppose 11 - m = 2*a. Solve 3*d + a = -d for d.
-1
Let h = -12 + 12. Suppose 0 = b + 3, 3*o + 6 = -h*o - 5*b. Solve o*l - 16 = -l for l.
4
Suppose -2*u - 1 = -x - 5, 3*x = 2*u. Solve -2*j + 6 + x = 0 for j.
4
Let a = 0 - -2. Suppose -a*t + 21 = -3*d, 4*t - 3*d - 32 = -5. Suppose -3*i + t = -18. Solve -2*q + 1 = -i for q.
4
Let w = -5 - -8. Solve w*z - 5*z + 2 = 0 for z.
1
Let z = 45 - 44. Solve 8*q - 7*q = z for q.
1
Let r = 28 - 18. Let w = -3 - -9. Let m = 8 - w. Solve -m = 4*u + r for u.
-3
Suppose -29*m + 4*m = -4*m. Solve m*t - 8 = -4*t for t.
2
Suppose -4*u - 2 = 10, -2*u = -o + 8. Let h = o + 9. Solve 3*n = -h - 4 for n.
-5
Let n = 10 + -8. Let r(w) = -n + 0*w - w + 0*w - 2. Let l be r(-4). Solve 4*u + u - 20 = l for u.
4
Let t(s) = -s**2 + 10*s. Let o(z) = z**2 + 8*z + 1. Let f be o(-9). Let r be t(f). Solve r = -0*v + v - 5 for v.
5
Let v = 0 + 8. Let h(p) = p**2 - 7*p + 4. Let u be h(v). Let m(b) = b**2 - 3*b - 7. Let j be m(5). Solve -u = -j*l - l for l.
3
Let q(t) = -16*t**2 + 46*t + 26. Let n(j) = 3*j**2 - 9*j - 5. Let h(p) = -11*n(p) - 2*q(p). Let l be h(7). Solve 0 = l*d - d for d.
0
Let x be (2/(-3))/(6/(-45)). Suppose -3*h + 2 = o, h + 0*h = 4*o + x. Let g(v) = 3*v**2 - 3*v + 2. Let a be g(2). Solve 3*s = a + h for s.
3
Let z = 14 - 8. Solve 3*o = -0*o - z for o.
-2
Let t be (0 - 0)/((-8)/4). Solve -4*n + 3*n + 4 = t for n.
4
Let h = 19 + -19. Solve -u = 1 - h for u.
-1
Suppose 5 = 6*m - 13. Let r(g) = g + 9. Let i be r(m). Solve 3*s = -0*s - i for s.
-4
Suppose -7*j + 13 = -8. Solve -6 = j*a + 6 for a.
-4
Let a(w) = w**3 + 3*w**2 - 5*w + 2. Suppose 26 - 10 = -3*g - 2*q, -2 = q. Let z be a(g). Solve -18 = 4*p - z for p.
-3
Let j = 44 - 25. Let o be ((-7)/7)/(1/(-4)). Solve -o*z - j = 1 for z.
-5
Let m(w) = w - 5. Let c be m(7). Solve -c*u + 3*u = -4 for u.
-4
Let j(p) = 8*p**2 + p**3 + 12 - 4*p**2 + 2*p + 7*p**2 - p. Let q be j(-11). Solve 10 = -3*z + q for z.
-3
Let c(u) = -u - 4. Let y be c(-7). Solve -x + y = -2 for x.
5
Let b be (-45)/(-20)*(-16)/(-6). Solve -10 = b*l - l for l.
-2
Let c = -45 + 47. Solve -c*y - 2*y = 20 for y.
-5
Let d = -22 - -23. Let y be d + -4 + -13 + 16. Solve -5 + y = 5*z for z.
-1
Let p be -1 - (-3)/((-6)/(-20)). Let w(o) = o - 7. Let k be w(p). Solve -k = -4*c + 6 for c.
2
Let m(d) be the third derivative of -d**4/12 - 2*d**3/3 - d**2. Let u be (-20)/3 + 2/(-6). Let j be m(u). Solve -4*l = -2*l - j for l.
5
Let s = 66 + -45. Suppose -i + 4*n - 31 = 0, 24 - 91 = 5*i + 2*n. Let u = s + i. Solve -u*c = -4*c - 2 for c.
1
Suppose -8*p - 16 = -10*p. Solve -5*b - p = 7 for b.
-3
Let k be -6*(-21)/12 - (-7)/(-14). Solve 4*r - 30 = -k for r.
5
Suppose -4*q = 3*a - 8*a + 14, 5*a = q + 11. Let p(w) = -w + 2. Let h be p(0). Suppose h*y + a*y = 0. Solve 3*t + 5 + 1 = y for t.
-2
Let j = -113 - -116. Solve -7 = -j*u + 8 for u.
5
Let u(p) = p**3 - 2*p**2 + 4*p - 2. Let r be u(2). Let x(j) = -j**3 + 5*j**2 + 8*j - 7. Let z be x(r). Solve 13 = -z*i - 12 for i.
-5
Let q = -14 + 24. Let p = q + -6. Suppose 8 = 2*j - p. Solve 2*k + 8 = j*k for k.
2
Let u = 4 + -4. Solve u*q - q = 4 for q.
-4
Let t(r) = 2*r**2 - r - 1. Let l be t(2). Let f = l + -3. Solve -4*w = 10 + f for w.
-3
Let r = -13 - -17. Solve -2*x - 10 = -r*x for x.
5
Let h(d) = -d + 10. Let n be h(0). Suppose -c = 4 - 7. Solve n = c*m - m for m.
5
Let l = -2 + 14. Let z = l - 2. Let x be (24/z)/(18/60). Solve r + r = -x for r.
-4
Let g(l) be the second derivative of -l**3/6 - 3*l**2/2 - 3*l. Let h be g(-7). Solve 0 = 5*r - h*r for r.
0
Suppose u - 8 = -2*i, -64 = -5*u - 3*i + i. Suppose 3*y - w - 32 - 6 = 0, 0 = -3*y - w + 28. Solve 0 = -5*s + y + u for s.
5
Let n = 117 + -115. Solve -4*l + 4 = -n*l for l.
2
Suppose -3*i = -19 - 11. Suppose -4*r + 3 = -5. Let o be -1 - (0 + -1)/1. Solve o = 3*a - i - r for a.
4
Let m(q) = -5*q - 1. Let p be m(-4). Suppose 4*f + p = 55. Solve 4*v - v = -f for v.
-3
Let z = 39 - 23. Solve -g - z = -5*g for g.
4
Let s(i) = 0*i + 2*i - 11 - i**3 - 3*i - 11*i**2. Let f be s(-11). Solve 3*d + 1 - 4 = f for d.
1
Suppose 2*q + 48 = 4*p, -5*p - 3*q - 2 = -4*p. Let a = 7 - p. Let x = a + 3. Solve x = -5*y - 3 - 2 for y.
-1
Let g(j) = j**2 - 6. Let n be g(0). Let u be (-3)/(n/10) + 0. Let m = 2 - 2. Solve -x = -m - u for x.
5
Let t be 2*1*(16 - 15). Solve s = t*s + 4 for s.
-4
Suppose -3*y + 4*y = 5. Let z(a) = a**2 - a - 3. Let s be z(3). Suppose o = 5*d, 0*o = -s*o - 2*d. Solve v + o = y for v.
5
Let o be (21 + -6)*(-1)/(-3). Solve 0*t + 25 = -o*t for t.
-5
Let d(i) = i**3 + 1 - 2*i**3 + 2 + 3*i + i**2. Let g be d(-2). Let s = g + -3. Solve -4*v + s = -v for v.
2
Let s = -4 - -3. Let c be (-2 - 0/2)*s. Solve h + c - 4 = 0 for h.
2
Let v be 0/(-1 - (0 + -2)). Suppose -5*w = -114 + 19. Let p = w + -19. Solve p = -g - v + 3 for g.
3
Let p(l) = -l**3 + 7*l**2 - 5*l - 2. Let g be p(6). Solve 8*d - g*d = 4 for d.
1
Let z be (-1 - 2)/3 - 9. Let a = 2 + z. Let y be 1/(-4) + (-162)/a. Solve -y = 3*v + v for v.
-5
Let x be (9/(-12))/((-6)/24). Solve x = -3*n - 0 for n.
-1
Let t = -7 - -4. Let m be (-30 + 0)*2/t. Suppose 15 + m = 5*f. Solve 0 = f*q - 3*q - 8 for q.
2
Suppose 4*o = -2*q - 2*q + 28, -3 = -q. Suppose o*b = 3*b + 20. Suppose -5*x - 4*g + 4 = -x, 5*x - 2 = -2*g. Solve 4*r + x*r = b for r.
5
Suppose -6*z + 2*z = 0. Suppose -l + 1 + 0 = z. Solve 3 - l = -o for o.
-2
Let p(i) = i**2 + 5*i + 4. Let r be p(-4). Let u = r + 1. Let q be 1/(u*3/15). Solve -q*n - 17 - 3 = 0 for n.
-4
Let z(a) = -a**2 - 9*a + 11. Let d be z(-10). Solve d - 6 = y for y.
-5
Let j be (0 + (-1)/(-2))*90/9. Suppose -4*i + 0*i - 2*o + 4 = 0, 5*i + 4*o - 8 = 0. Solve -c + j = -i for c.
5
Suppose -3*b = -4*f - 0*f + 13, 4*f + 3*b - 19 = 0. Solve f*s - 2*s + 2 = 0 for s.
-1
Let g be 2/(-8) + 18/8. Suppose -32 = -4*u - 0*s - 4*s, -3*u + 32 = 5*s. Solve g = -w + u for w.
2
Let i(d) = d**3 + 7*d**2 - 2*d + 3. Let g be i(-7). Suppose 0 =
|
{
"pile_set_name": "DM Mathematics"
}
|
r w.
4
Solve n + 25*i + 323 = 0, -994*n + 992*n - 6*i - 74 = 0 for n.
2
Solve -6*c + 3*c - 69 = 6*m, -60*m - 79 = -54*m + c for m.
-14
Solve 96*i = -169*r + 172*r + 3564, 2*i - 3*r - 57 = i + 2*r for i.
37
Solve -4*p - 36 = 4*y, 142399*p - 142401*p + 30 = -2*y for y.
-12
Solve -471892*d + 471895*d = 9, 3*d - 2 - 22 = -3*k for k.
5
Solve 3*v - v + 5*z - 815 = -819, 26 = -13*z for v.
3
Solve -3*m - 145 = 4*q, -2*m - 26 = -9847*q + 9832*q for m.
-43
Solve 0 = -b + j + 9 + 8, 1720 = -b + 108*b + 4*j - 654 for b.
22
Solve 28*a = 4*y - 7 + 67, -4*a + 2 + 22 = 2*y for a.
3
Solve -x - 7755 = 5*b - 7770, x - 7 = -b for b.
2
Solve -126 = 28*b - n - 24, 5*b - 2*n = 0 for b.
-4
Solve -3*a + 27 = 3*u, -1076 = -4*u + a - 1060 for u.
5
Solve -5*h + 6*n = -23, -15*h - 162 + 167 = -16*h - 2*n for h.
1
Solve -54*d - p - 20 = -26*d - 24*d - 5, 0 = -d - 5*p + 20 for d.
-5
Solve -3*z - 15*v = 186, -128 + 58 = 5*z + 5*v for z.
-2
Solve -1804*f - 269 = n - 1801*f, 3*n - 6*f - 513 = 0 for n.
-5
Solve 7*v = 3*b - 26, 0 = -9*b - 47*v + 43*v + 178 for b.
18
Solve -9*h - 2*m = 6568 - 6879, -h + 27 = 4*m for h.
35
Solve -2*k = 3*r - 28883 + 28970, 4*r + 133 = 3*k for r.
-31
Solve 3*z + 103 = 1849*c - 1854*c - 49, -3*z = -5*c + 112 for c.
-4
Solve 0 = -z + h - 2*h - 28, -2*z + 194 - 2043 - 2911 = 170*h for z.
0
Solve -17 - 39 = -23*r + 730*t - 733*t, 25 - 6 = -3*r + 2*t for r.
1
Solve -6*s + 3*q = 63, 221*q - 217*q - 44 = 0 for s.
-5
Solve -5*g + 18 = -3*t, 0*g + t + 4178 - 4162 = 5*g for g.
3
Solve -5*f - 2*r - 14 - 71 = 0, -3*r - 387 + 288 = 6*f for f.
-19
Solve 3*p - 5*p + 384 = -46*n - 6*p, 2*n - 5*p - 4 + 0 = 0 for n.
-8
Solve 860 + 11317 = z + 186*c + 1942, 3*z + 260 = -2*c + 7*c for z.
5
Solve 5*m - 32 = 3*b - 4*b, 3*b + 5*m = 13 + 13 for b.
-3
Solve 17*a + 16*a + 5*q = -0*a + 416, -q + 5*q = -q + 20 for a.
12
Solve 12*w - 11 - 54 - 20 = 15*m + 7*w, -4*m = -4*w + 108 for m.
5
Solve 4*a - 58 = 5*x, -4*a - 54*x = 72*x - 123*x - 3 - 39 for a.
12
Solve -l - 2*l + 26 + 12 = -20*w - 4*l, w + 16*l - 30 = 0 for w.
-2
Solve 4*i + i - 201 = j, -53*i + 106 = -51*i - 36*j + 10*j for i.
40
Solve 181*w - 63*w + 4*h + 38 = 63*w + 64*w, 0 = -5*w - 5*h - 15 for w.
2
Solve 4*j - 7 = 5*v + 8*j, -19*v + 3*j = -20*v + 3 for v.
-3
Solve 6*w - 4*n + 42 - 5 - 39 = 0, 0 = -2*w - 2*n + 4 for w.
1
Solve -3*b + 158 = 4*a, 44*a + 297 = 49*a + 4*b + 85 for a.
-4
Solve 5*i + 4*b = -155, 7068*i - b = 7067*i - 22 for i.
-27
Solve -5*v - 3*z - 12*z + 339 = 329, -4*v - 1 = 3*z for v.
-1
Solve -6*q + 4*q = 3*f, -4*q - 2*f = q - 6*q for q.
0
Solve 0 = -39*v - 520630*a + 520629*a - 149, 0 = -v - 4*a + 24 for v.
-4
Solve -3*o - 18 = 22*u + 17, o = 2*u - 5*u - 3 for u.
-2
Solve -3*p - 2*p - 36 + 19 = -267*h + 274*h, p = h + 11 for h.
-6
Solve 3*u + 5 = 2*g, -15 = u - 5*g + 30 for u.
5
Solve 0 = 9*u - 108*s + 114*s - 42, 18 = -12*u + 16*u + 3*s for u.
6
Solve 2*o + 778 = 10*i, 0 = 5*i + 23589*o - 23588*o - 381 for i.
77
Solve -3*k = -3*x + 48, -10*k - 4*x + 2032 - 2038 = 0 for k.
-5
Solve 11*x - 12*x + 0*q + 17 = 6*q, 3*x - q = -6 for x.
-1
Solve 0 = -195898*h + 195902*h + 3*p - 23, 0 = -3*p + 15 for h.
2
Solve 17 = 63835*v - 63838*v + 5*f, 0 = -4*v + f for v.
1
Solve -2*n - 16 = u, u = 5882*n - 5886*n - 34 for u.
2
Solve 5*i + 132408 = 132438, -2*i - 4 = -4*c for c.
4
Solve -4*s + 80 = -5*k, -4*s - 4*k + 174 = 202 for s.
5
Solve 3*h + 35*p + 43*p = 82*p - 5, 0*p - 5*p = -2*h - 15 for h.
5
Solve -6*o + 6*a = -3*o + 2*a - 45, 0 = -2*o - 2*a + 30 for o.
15
Solve 5*y + z = -7, -162*y + 157*y - 19 = -3*z for y.
-2
Solve 0 = n - 5*g + 8, n - 7*g + 12656804 - 12656790 = 0 for n.
7
Solve -23 = -4*u + h + 4, 98 = u + h + 17*h for u.
8
Solve -10*s = z - 5, 205 = -22*s - 4*z + 225 for s.
0
Solve 19*l - 172 = -2*q + 9, -84*l + 65 = -79*l + 4*q for l.
9
Solve 2*f = -7*y - 7*y + 16*y - 3*f + 41, -11*y = -6*f + 161 for y.
-13
Solve -5433*p = 4*v - 5435*p - 30, -3*p - 2253 = -374*v for v.
6
Solve -2*b = -0*b, -8*q - 93*b + 42*b + 52*b + 288 = 0 for q.
36
Solve 395 = 5*d - 3*a, -d - 17*a = -151 - 148 + 308 for d.
76
Solve -3*y - 3*f = -102, 0 = 2*y + 10*f - 26*f + 11*f - 40 for y.
30
Solve 72*m - 236 = 2*z - 7*z, -2*m + 1 + 13 = 2*z for z.
4
Solve -29 = 10*k - 8*k + j - 9, 0 = -3*k - 3*j - 66 for k.
2
Solve -11*s = 50*n - 11*n - 14*n - 22*n - 26, -2 = s + n for s.
4
Solve -24*g - 5*u + 0*u = -2*g - 7*u + 84, 5*g + u = -22 for g.
-4
Solve 2*c + 40 = 2*g, -20740*c - 10*g + 187 = -20737*c for c.
-1
Solve 2*d - 4*h + 284 = 254, -9*d + 4*h + 5 = 0 for d.
5
Solve 2*o = 5*f - 38 - 84, -48 - 22 = -5*f + 49 + 11 for o.
4
Solve 3*p + 4 = -p - 2*l, -11*p - 5*l - 15593 + 15583 = 0 for p.
0
Solve -2*n - 4*l - 2067 = -1987, 3*n + 5*l = -121 for n.
-42
Solve -4*p = w - 2, -9349 + 9380 = -2*w - p for w.
-18
Solve -5*l + 2*l + 5*x + 92 = -l, -39*x - 698 = -6*l + 8*l + 2*l for l.
1
Solve 5667*s - 40 = 5663*s - 2*h, 3*s - 3*h - 12 = 0 for s.
8
Solve -585977*g - 4*o = -585974*g + 47, -5*o = 55 for g.
-1
Solve -4*a + 3*a + 12 = 2*a, 6 = 2*b - 25*a + 15*a for b.
23
Solve -1237*j + 5*f + 33 = -1240*j, -3*j - 2*j - 22*f - 178 = 0 for j.
4
Solve 10*y - 2*r + 221 = 131, -2*y - 313 = y - 5*r for y.
4
Solve 2*q - 9*q - 2*q = -36, 4*c + 0*c = q + 8 for c.
3
Solve 2*m + 12*u - 533 = -513, m = -5*u + 9 for m.
4
Solve -5*c - 45*o + 55 = 0, 3*o - 1236 = -2*c - 1229 for c.
2
Solve 0 = 111*t - 113*t - 266*p - 450, -3*t + 115 = p + 3*p for t.
41
Solve s + 15 - 2 = 3*i - 12, -8*i - 7*s = 32*s - 41*s - 60 for i.
5
Solve 4*z - 5*f - 12 = 0, 4*f + 1112436 = -7*z + 1112406 for z.
-2
Solve y + 2*m = 4, 8*m - 4 - 29 = 3*y + 2*m + 3*m for y.
-6
Solve 0*h = -15*h - 5*w - 60, -5*w = 0 for h.
-4
Solve 10*w + 565 = 3*o, -2241*o + 2237*o = 4*w + 252 for o.
-5
Solve -2*h - 2*h = -t - 153 + 154, 2*t - 2 = 0 for h.
0
Solve -3*h + 288*d = 214*d - 888, -5*h + 36 = -3*d for h.
0
Solve 2*m - a = -124, -6*m - 49955*a - 348 = -49952*a for m.
-60
Solve 153 = -m - 4*g, 1053673*g - 1053676*g = -5*m + 86 for m.
-5
Solve 40*r + 35*r - 18*y - 60 = 80*r, 2*r = y + 4*y - 85 for r.
-30
Solve -10689429*t - 15 = -10689428*t + b, -5*b + 51 = -4*t for t.
-14
Solve 0*o + 5*v - 2*v - 7*v = 4*o - 5*o + 5, 5*v = 3*v for o.
5
Solve 3*n - 27*h - 8*h + 787 + 113 = 39*h, 2*n + 20 = h for n.
-4
Solve -3*r = 6, -4*o + 30558*r - 30553*r = -114 for o.
26
Solve -124*m + 123*m - 7 = -4*o, -4*m + 8 = 11*o - 15*o for m.
5
Solve 5*r - 15 = 0, 8*p + 509*r = 505*r + 2 + 42 for p.
4
Solve -5*x + 15 + 10 = -5*g, 2726*g - 5465*g = -2735*g + 4*x + 20 for g.
-5
Solve 5*q - 5*q - 5*n - 115 = -5*q, 0 = 438*n - 433*n + 25 for q.
18
Solve -3*j + 3*x - 39 - 9 = 30, -4*j = -36*x + 72 for j.
-27
Solve 0 = n + 3*q - 3859 + 3703, 88*q - 17*q - 3630 = -3*n for n.
3
Solve -d - 114 = 5*q + 3*d - 0*d, 2324 = -90*q - 4*d for q.
-26
Solve -5*y + 20 = 9*y - 10*y, 0 = 10*k + 3*y + 55 for k.
-7
Solve 3*x + 55 = 14*n, -1955*n + 40 = -1951*n + 4*x for n.
5
Solve -213*p = 2*y - 6*y + 482, 63*y + 46 = 67*y + 5*p for y.
14
Solve -6*d - 142 = 81*a - 79*a, -7*d - d - 203*a + 83 = -3*d for d.
-24
Solve 27637*j - 3*h = 27634*j + 9, 5*h = -4*j - 24 for j.
-1
Solve -146 = -4*r + 3*n + 37, 105*n + 198 = 4*r + 107*n for r.
48
Solve 76 = 4*b, 10*w + 2 = -2568*b + 1291*b + 1281*b - 24 for w.
5
Solve -210 = 74*v - 4*k - 8, 83*k - 79*k + 23 = -v for v.
-3
Solve -46*d + 2*f = -49*d + 11, -d - 3*f + 79 = -0*d + 73*f for d.
3
Solve -d - 4*u - 5*u = -11*u + 3, -9*d + 10*d + 15 = -10*u for d.
-5
Solve 10*n + n = -11*n + 405 + 343, 6*s - s + 180 = 5*n for s.
-2
Solve 34*v = -2*w + 40, -2*v - 15 = 2*v - 11*w + 14 for v.
1
Solve g = -5*w + 56 - 80, 5*w = 33*g - 17 - 37 - 4 for g.
1
Solve 3394 = 245*n - 4*z + 928, -n + 4*z + 26 = 0 for n.
10
Solve 0 = -5*o + 10, 80785*o = -2*p + 80778*o + 12 for p.
-1
Solve -3*w - m + 26 = 0, -2471 + 2483 = -4*w + m for w.
2
Solve -44*k - 132 = -2*h - 33*k, 4*h - k - 19 = -2 - 5 for h.
0
Solve 4*l + 3 = -v, 0 = -v - 929*l + 928*l - 3 for v.
-3
Solve -20 = 5*t, -f + 184040*t = 184039*t - 2 for f.
-2
Solve -5*z + 47 = -8*n, -z + 623034 = 3*n + 623066 for z.
-5
Solve -9*s = -14*s + 5*p + 55, -s - 3*s + 1260 = p + 1281 for s.
-2
Solve 0 = -7*q + 8 + 6, 460 = -j + 5*q + 450 for j.
0
Solve -v - v + 4*v + 6 = 0, -5*s + v - 10 + 16 = -17 for s.
4
Solve 0 = 4*i + 126*z + 220, 2*z + 784 = -5*i + 820 for i.
8
Solve -r = 4*o - 6 -
|
{
"pile_set_name": "DM Mathematics"
}
|
.909492. Let l = 1119 - p. Let o = -0.091 - l. What is o rounded to 4 decimal places?
-0.0005
Let t be 4/(-88) + (-4677464023)/(-506). Round t to the nearest one hundred thousand.
9200000
Let r = -2034 - -1231. Let w = -867.7 - r. What is w rounded to the nearest 100?
-100
Let y = -36.1 - 125.9. Let k = -149.98314715 - 12.01684615. Let s = y - k. Round s to 5 dps.
-0.00001
Let g = 1.5 - 2.57. Let b = 72622.1799902 + -72621.11. Let p = g + b. What is p rounded to 6 dps?
-0.00001
Let o = -3254.7106057 - 6.3027043. Let w = -3261 - o. What is w rounded to 3 dps?
0.013
Let k = -1071 + 235. Let h = k - -836.00113. Round h to four dps.
0.0011
Let t = 56228 - -201507. Suppose 0 = -26*a + 24944067 - 176842957. Let v = a - t. What is v rounded to the nearest one million?
-6000000
Let a be 65/6*16754 - (-20)/(-30). Suppose g - 1481481 = -a. Suppose 5*l - 4*w = -6500016, 2*l - 5*w = 3*l + g. What is l rounded to the nearest one million?
-1000000
Let t = -550 + 521. Let v = t - -28.998955. Round v to 4 decimal places.
-0.001
Let w = -656680300.671 - -656680742.671000507. Let d = 442 - w. Round d to seven decimal places.
-0.0000005
Suppose -12*n + 39 + 9 = 0. Let w(u) = 3295*u**2 - 9*u + 16. Let z be w(n). Round z to the nearest one thousand.
53000
Let q = 1581.987842 + -1582. What is q rounded to three decimal places?
-0.012
Let s = -4.575 - 741.025. What is s rounded to the nearest 10?
-750
Let i = 33554 - 33722.864. Let q = i + 169. What is q rounded to two dps?
0.14
Suppose 389*w + 71*w = 426154574 + 641781426. What is w rounded to the nearest 1000000?
2000000
Let s = 805553156 - 416078321. Suppose -26*p + 50174835 - s = 0. What is p rounded to the nearest 1000000?
-13000000
Let s = 81512 + -81107.81. What is s rounded to the nearest integer?
404
Let l = -3.6 - -32.6. Let z = l + -29.00001016. What is z rounded to six decimal places?
-0.00001
Let w = 0.098 - 0.0979994164. Round w to 7 dps.
0.0000006
Let c = 10993979676912 + -10993979681388.999997337. Let l = c - -4477. What is l rounded to 7 decimal places?
0.0000027
Let z = -21753.9979262 + 21754. Round z to 4 decimal places.
0.0021
Let i = -16 - -19. Let t = -3.00173 + i. Round t to three decimal places.
-0.002
Let o = -4476.0022956 - -4476. Round o to four dps.
-0.0023
Let g = -173.6 + 68.7. Let k = -129 - g. Let f = k + 24.1000121. Round f to six decimal places.
0.000012
Let r = -435.998 + -0.002. Let f = r - -435.577. Round f to two dps.
-0.42
Let b = 2278.45 + 57.55. Let v = -2336.00000977 + b. What is v rounded to 7 dps?
-0.0000098
Let o = -2280.93 - -2328. Let z = -50.6 + o. What is z rounded to one dp?
-3.5
Let l = 102.0823 + -102.67. Round l to one dp.
-0.6
Let t = -5702.79 + 685.69. What is t rounded to the nearest 10?
-5020
Let x = -0.4269618 + 0.428. What is x rounded to five decimal places?
0.00104
Let g be 29199990*6/8 + (-12)/(-24). Let m be (3 + g)/1 - -4. What is m rounded to the nearest one million?
22000000
Let g = 18258.835 + -18184. Round g to 0 decimal places.
75
Let z = 1.7614 + -0.0794. Let a = -8.592 + z. What is a rounded to one dp?
-6.9
Let d = 87234.918068783 - -0.093831217. Let w = d - 87191. Let t = w + -44. What is t rounded to three dps?
0.012
Let i = -332.5 + 416. Let l = -86.027 + i. Let u = 2.34 + l. What is u rounded to 2 decimal places?
-0.19
Suppose 0 = -239*q + 236*q + 1883403. Suppose 0 = -15*n + q - 33702801. Round n to the nearest 100000.
-2200000
Let c = 217 + -32. Let t = c + -184.048. Round t to one dp.
1
Let a = 294.14063 + -0.04063. Let n = a - 347. Let o = -3.3 - n. What is o rounded to the nearest integer?
50
Let k = -4841.971023 - -4842. Round k to four dps.
0.029
Let y = -50 - -49.9984. Let w = y - -51.2016. Round w to the nearest integer.
51
Let j be (-10)/(-55) - ((-84448)/44)/4. Let w be (32990625/(-9))/((-3)/j). Suppose 4*i + 13*i = -w. What is i rounded to the nearest 1000000?
-35000000
Let w = -2.95 - -0.95. Let u = w + -135. Let y = u - -162.8. Round y to the nearest 10.
30
Let f = -5734.7 - -5605.536. Let o = -0.164 - f. Let s = 128.999454 - o. Round s to four dps.
-0.0005
Let p = 2.284139 + -0.036839. What is p rounded to 2 decimal places?
2.25
Let c be -12*(-649)/88*244/(-6). Round c to the nearest 1000.
-4000
Let w = -1565.2992 - -1561.4. What is w rounded to zero dps?
-4
Let v = 0.094 - 6.394. Let t = v - -2.9. Let u = -3.40055 - t. What is u rounded to 4 dps?
-0.0006
Let b = 0.0118 - -0.4882. Let c = -0.500002 + b. Round c to 4 dps.
0
Let s = 3722352.9927 + -3722194. Let j = 159 - s. Round j to 3 dps.
0.007
Let g = 85 + -87.7. Let b = 1.43 + g. Let v = -1.26963 - b. What is v rounded to four dps?
0.0004
Let n = -3499 + 3498.99978499. Round n to five decimal places.
-0.00022
Let c = -4.9795 - -2378.6795. What is c rounded to the nearest 10?
2370
Suppose 498297 = -11*b + 1713357. Round b to the nearest one hundred thousand.
100000
Suppose -b + 5*g = -5019865, 5*g - 7745075 - 7314660 = -3*b. Round b to the nearest 10000.
5020000
Let b = 0.033 + -0.065. Let k = 0.037 - b. Let r = -0.069000114 + k. What is r rounded to seven decimal places?
-0.0000001
Let u = 3077.3 - 3238. Let w = 160.70000849 + u. What is w rounded to 6 decimal places?
0.000008
Suppose -850*m = -849*m + b + 170753, b = 2*m + 341497. What is m rounded to the nearest ten thousand?
-170000
Let w(o) = o**3 + 9*o**2 + 8*o - 2. Let p be w(-7). Let q = p - 37. Suppose 5*d = -q*y - 182, -174 = 2*y + y + 3*d. Round y to the nearest ten.
-50
Suppose o + 4 = -2*u, -5*o + 24 = 2*u - 3*u. Suppose 5*j - 4*p = 117, 5*p + 16 = -o*j + 85. Let h be -1809998 - 12/j*(-14)/(-4). Round h to the nearest 100000.
-1800000
Let c = 0.028515 + -202.338515. Round c to the nearest integer.
-202
Let x = -1.8 + 28.8. Let j = x + -60. Let c = j - -27.2. What is c rounded to zero dps?
-6
Let k = -42387 - -42386.999943223. What is k rounded to 6 decimal places?
-0.000057
Let d = 37 + -34. Let q = -8 - d. Let y = q + 10.9999922. What is y rounded to 6 dps?
-0.000008
Let h = 359 - -1063. Let t = -1421.99347 + h. Round t to 3 dps.
0.007
Let m be (3/(-4))/(4/16). Let f be (8 - 548/(-8))/(m/148). Round f to the nearest 100.
-3800
Let g = -3.402 + 3.4. Let q = 0.084 + g. Let f = 0.004 - q. Round f to 2 decimal places.
-0.08
Let n(z) = -8520*z**2 - 5*z - 10. Let k be n(-58). What is k rounded to the nearest one hundred thousand?
-28700000
Let p = 21825 - 21824.01. Round p to 0 dps.
1
Let t = -0.012449 - 61.963051. Let v = t + 62. What is v rounded to 3 dps?
0.025
Let i = -19507176.699986 - -19507152. Let x = i + 24.7. Round x to 5 dps.
0.00001
Let s = 211.82 + -211.93463. What is s rounded to three dps?
-0.115
Let g = -0.1 - 122.9. Let n = g + 122.999717. What is n rounded to four decimal places?
-0.0003
Let l = -15.2 - -2.2. Let g = -7490 - -7504.93. Let i = g + l. Round i to one dp.
1.9
Let w(u) = 4845*u - 261. Let h be w(-2). Round h to the nearest 100.
-10000
Let z = -5.27715 - 0.31085. What is z rounded to 1 dp?
-5.6
Let r = 7427 - 7427.345. What is r rounded to one decimal place?
-0.3
Let p = -0.0099 + 17.2099. Let z = p + -26. Round z to the nearest ten.
-10
Let i = -436511.5 - -436532.209656. Let k = -34.809527 + i. Let w = k + 14.1. What is w rounded to five dps?
0.00013
Let x = -0.10247 + 0.03297. Round x to 0 decimal places.
0
Suppose 64481560 = 66*a - 14*a. Round a to the nearest one hundred thousand.
1200000
Let p be (2 - (-40)/(-18)) + 4013982196/882. What is p rounded to the nearest one million?
5000000
Let d = 233793 + -1095770. Let g = -1233977 - d. Round g to the nearest 10000.
-370000
Let d be 20 + -9 + 5 + -1. Let g be (-1 + d/9)/(13/(-95745)). What is g rounded to the nearest 1000?
-5000
Let d = -32.614 + -921.926. Round d to zero dps.
-955
Let l = -0.017 - 0.3. Let n = -0.188 - l. Let j = n - -0.366. What is j rounded to one dp?
0.5
Let g = 135.9399987282 + -135.94. What is g rounded to seven dps?
-0.0000013
Let y = -12609 + 12688.13. Let a = y - 1.13. Let p = -78.0012 + a. What is p rounded to 3 dps?
-0.001
Let t = -70364 - -147854. What is t rounded to the nearest one thousand?
77000
Let v = -2847456 + -3048544. What is v rounded to the nearest one million?
-6000000
Let d = 4201 + -4201.000003994. What is d rounded to 7 decimal places?
-0.000004
Let r(x) = 928*x + 28. Let h be r(14). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + 24*k**2 - 32*k. Factor y(d).
(d + 12)*(11*d - 2)**2
Let o(i) be the third derivative of 0*i - 1/20*i**5 - 9*i**2 - 8*i**3 + 0 + i**4. Factor o(w).
-3*(w - 4)**2
Let c(m) = 2*m**2 + 20*m + 18. Let a be c(-13). Factor 245*r**4 + a*r**2 - 2*r**2 - 385*r**3 - 20*r + 66*r**2.
5*r*(r - 1)*(7*r - 2)**2
Let v(n) be the first derivative of -6*n - 7/2*n**3 + 3*n**2 - 3 + 5/4*n**4. Let z(f) be the first derivative of v(f). Factor z(j).
3*(j - 1)*(5*j - 2)
Let k(g) = g**2 + 23*g + 46. Let f be k(-21). Let s be (-8)/f + 0 + 5 + 0. Solve -6/7*c**2 + 4/7*c + 0 + 2/7*c**s = 0 for c.
0, 1, 2
Factor 13*h**2 + 51822*h - 51822*h + h**3.
h**2*(h + 13)
Let o be 24/14 + -2 + 96/42. Let a = -8 + 11. Determine t so that -1/5*t**o + 1/5*t**a + t**4 + 3/5*t**5 + 0 + 0*t = 0.
-1, 0, 1/3
Let r be (-1)/(1/(-8)) + 15 + -19. Solve -5*o**4 + o**r - 13*o**2 - 10*o**2 + 128*o + 32*o**3 - 73*o**2 - 64 = 0.
2
Suppose -873 - 102 = -5*t + 5*b, -5*t + 2*b + 978 = 0. Let 4*j - 202 + 3*j**2 - j + 0*j + t = 0. What is j?
-2, 1
Let b(f) be the third derivative of -f**6/320 + f**5/80 + f**4/4 - 2*f**3 - 220*f**2. Let b(u) = 0. What is u?
-4, 2, 4
Let a(s) be the second derivative of -3/2*s**2 + 3 - s**3 - 5/16*s**4 + 3*s - 3/80*s**5. Find c, given that a(c) = 0.
-2, -1
Suppose 0 = -6*a - 42 + 42. Let x be (1 + a)*(-1 + -2 + 3). Factor x + 2/7*i**3 + 0*i + 2/7*i**2.
2*i**2*(i + 1)/7
Let o = -585858674/511 - -1146495. Let n = 3/73 + o. Let -20/7*c**2 - n - 18/7*c = 0. Calculate c.
-1/2, -2/5
Let w(r) = 2*r**2 - 50*r - 40. Let t be w(26). Factor 14/3*u**4 + 2/3*u**5 + 44/3*u**2 + t*u**3 + 2 + 26/3*u.
2*(u + 1)**4*(u + 3)/3
Let -159*s - 217*s**4 + 223*s**4 - 2*s**5 - 24*s**2 + 16*s**3 + 127*s = 0. What is s?
-2, -1, 0, 2, 4
Let a(q) be the first derivative of q**4/2 + 46*q**3 + 1155*q**2 - 2450*q - 273. Find u such that a(u) = 0.
-35, 1
Let 16/3*l**4 + 8/3*l - 145/3*l**2 + 3 - 128/3*l**3 = 0. What is l?
-1, -1/4, 1/4, 9
Find i, given that 22/7 + 26/7*i**2 - 2/7*i**3 - 46/7*i = 0.
1, 11
Let w(j) = 6*j**2 - 6*j + 3. Let h(t) = -t**3 + 19*t**2 - 16*t + 8. Let o(m) = 3*h(m) - 8*w(m). Factor o(l).
-3*l**2*(l - 3)
Let g(w) = -2*w**2 + 27*w + 29. Let a(p) = p**2 - 1. Let m(u) = -a(u) + g(u). Solve m(r) = 0 for r.
-1, 10
Let t = 50 + -48. Solve w**4 + 26*w**2 + w**3 - 26*w**t = 0.
-1, 0
Let g = 193 - 193. Let m(k) be the second derivative of 0 + 1/30*k**5 + g*k**2 + 0*k**3 + k - 1/6*k**4. Factor m(b).
2*b**2*(b - 3)/3
Let t(q) be the first derivative of -1/21*q**3 + 41 - 8/7*q**2 - 64/7*q. Determine o, given that t(o) = 0.
-8
Let j(a) = -35*a**2 - 104*a + 8. Let l(z) = -35*z**2 - 105*z + 10. Let o(c) = -5*j(c) + 4*l(c). Factor o(w).
5*w*(7*w + 20)
Let g(w) = -8*w**4 - 12*w**2 + 8*w - 12. Let r(y) = -6*y**4 - 12*y**2 + 8*y - 10. Let v(x) = 5*g(x) - 6*r(x). Suppose v(f) = 0. Calculate f.
-2, 0, 1
Suppose -120*t - 297 = -897. What is s in -6/5*s + 0 - 1/5*s**t + s**2 + 7/5*s**3 - s**4 = 0?
-6, -1, 0, 1
Let v be (-4)/25 + -2 - (-18 - -15). Let r(u) be the first derivative of 3*u**3 + 3/10*u**2 + v*u**5 + 57/20*u**4 + 10 - 6/5*u. Suppose r(h) = 0. Calculate h.
-1, 2/7
Let d(m) = 4*m**3 + 16*m**2 - 32*m + 2. Let r(x) = -9*x**3 - 33*x**2 + 62*x - 5. Let f(u) = -5*d(u) - 2*r(u). Factor f(i).
-2*i*(i - 2)*(i + 9)
Let k(b) be the first derivative of -b**6/30 + 2*b**5/25 + b**4/4 - 2*b**3/3 - 2*b**2/5 + 8*b/5 - 228. Determine t so that k(t) = 0.
-2, -1, 1, 2
Let o = 3/7958 - -700265/103454. Factor 50/13*t**4 + 8/13 - 220/13*t**3 - o*t + 282/13*t**2.
2*(t - 2)**2*(5*t - 1)**2/13
Let y(o) be the third derivative of o**7/2520 - o**4/8 + 21*o**2. Let v(g) be the second derivative of y(g). Factor v(x).
x**2
Let i = -57658/27 - -2136. Let r(s) be the first derivative of 4/9*s - 1 + i*s**3 - s**2. Find m, given that r(m) = 0.
2/7, 1
Let r be -2 + 4/(20/15). Let q(x) be the first derivative of 0*x**2 - 1/12*x**3 + r + 0*x. Find j such that q(j) = 0.
0
Let i be 4*4/(-32)*6*11. Let r be 1 - (-2 + i/(-15)). Factor -2/5*k**3 - r*k**2 + 1/5 + 2/5*k + 3/5*k**4.
(k - 1)**2*(k + 1)*(3*k + 1)/5
Let w(u) be the second derivative of -u**4/4 - 43*u**3/2 - 63*u**2 - 3*u - 4. Factor w(i).
-3*(i + 1)*(i + 42)
Let m = 86/285 + 3/95. Suppose -3*f = w - 6*f, -3*w = -5*f. Factor -m*t**2 + 1/3*t + w.
-t*(t - 1)/3
Suppose 4*x - 135 - 765 = 0. Determine b, given that -61 - 45*b**3 - 375*b + x*b**2 + 61 + 3*b**4 = 0.
0, 5
Let s(a) be the third derivative of 0*a**3 + 4*a**2 + 1/120*a**5 + 0 + 0*a - 1/48*a**4. Solve s(c) = 0.
0, 1
Let z(v) = -3*v**3 - 69*v**2 - 66*v - 6. Let m(n) = -2. Let f(y) = -3*m(y) + z(y). Solve f(i) = 0.
-22, -1, 0
Let d(g) = -g**2 + 11*g + 4. Let i be d(0). Let u(q) be the first derivative of 0*q**2 - 1/4*q**4 + 0*q**3 + i + 0*q + 1/5*q**5. Find h such that u(h) = 0.
0, 1
Determine c, given that 0 - 10/3*c**3 - 50/3*c - 35*c**2 = 0.
-10, -1/2, 0
Solve 2/7*a**5 - 64/7*a**2 - 512/7*a + 0 + 510/7*a**3 + 64/7*a**4 = 0 for a.
-16, -1, 0, 1
Let s(r) be the third derivative of r**8/84 + 13*r**7/105 + r**6/2 + 16*r**5/15 + 4*r**4/3 + r**3 - 14*r**2 + 5. Find z such that s(z) = 0.
-3, -1, -1/2
Let g(x) be the first derivative of x**4/28 + 5*x**3/7 + 24*x**2/7 - 64*x/7 - 25. Suppose g(l) = 0. What is l?
-8, 1
Let j(h) = 10*h + 140. Let w be j(-14). Let q(y) be the second derivative of -1/20*y**5 - 1/4*y**4 + 0 + w*y**2 - 4*y - 1/3*y**3. Factor q(c).
-c*(c + 1)*(c + 2)
Let a = 1758 + -7031/4. Let h(c) be the second derivative of a*c**2 + 1/24*c**3 - 9*c + 0 - 1/48*c**4. Find q such that h(q) = 0.
-1, 2
Let x be ((-6 - -4)/4)/2*126/(-7). Factor 0 - x*y - 3/2*y**2.
-3*y*(y + 3)/2
Let v be 117/520*1/4*2. Let f(s) be the third derivative of 0*s + 0 + 1/2*s**3 + v*s**5 - 3/8*s**4 + 4*s**2. Let f(y) = 0. What is y?
2/3
Let r = -378 + 378. Factor -36/5*i**3 - 8/5*i**2 + r + 0*i.
-4*i**2*(9*i + 2)/5
Let c(z) = 2*z**2 + 17*z - 9. Let y(x) = x - 9 + 3*x + 17*x - 3*x + 3*x**2. Let h(k) = -6*c(k) + 5*y(k). Find s such that h(s) = 0.
1, 3
Let a(r) = -2*r**3 + r**2 + r - 1. Let x(o) = 9*o**3 - 14*o**2 + 29*o - 32. Let s(w) = -20*a(w) - 5*x(w). Factor s(j).
-5*(j - 4)*(j - 3)**2
Solve 57*h - 18*h**2 - 36 - 46*h**2 + 3*h**3 + 40*h**2 = 0 for h.
1, 3, 4
Let r(d) be the second derivative of 2*d**3 + 12*d**2 + 0 - 3/20*d**5 - 3/2*d**4 + 1/10*d**6 + 6*d. Factor r(t).
3*(t - 2)**2*(t + 1)*(t + 2)
Suppose -36 = 6*m - 0*m. Let f be ((-1)/6)/(m/12). What is h in 4/3 - h**2 + 0*h - f*h**3 = 0?
-2, 1
Let y(l) be the first derivative of 3*l**5/5 - 3*l**4/4 - l**3 + 3*l**2/2 + 84. Factor y(h).
3*h*(h - 1)**2*(h + 1)
Let a(w) be the first derivative of 3*w**4/2 - 140*w**3/3 + 988*w**2/3 + 5776*w/3 - 197. Solve a(v) = 0.
-2, 38/3
Solve f**3 - f - 1/2*f**4 + 0*f**2 + 1/2 = 0 for f.
-1, 1
Let a(i) = -4*i**3 + 90*i**2 - 96*i + 46. Let p(g) = -g**3 + 7*g**2 + g - 1. Let y(v) = a(v) - 6*p(v). Suppose y(q) = 0. Calculate q.
-26, 1
Let g(b) be the second derivative of -24*b - 4/15*b**6 + 0*b**4 + 0*b**3 + 1/21*b**7 + 0*b**2 + 0 + 2/5*b**5. Let g(m) = 0. Calculate m.
0, 2
Let r(x) = -3*x**3 - 15*x**2 - 7*x + 7. Let a(t) = t**3 + 7*t**2 + 3*t - 3. Let l(i) = 14*a(i) + 6*r(i). Factor l(g).
-4*g**2*(g - 2)
Let c(f) be the first derivative of 2*f**5/15 + 5*f**4/9 + 2*f**3/3 + 2*f**2/9 - 159. Suppose c(a) = 0. What is a?
-2, -1, -1/3, 0
Suppose -14*p + 8 = -12*p. Let -6*d**3 + 6*d - d**2 - 6*d**2 + 0*d**p + 5*d**2 + 2*d**4 = 0. Calculate d.
-1, 0, 1, 3
Let o(h) be the first derivative of -5*h**4/4 - 5*h**3 + 20*h - 243. Determine c so that o(c) = 0.
-2, 1
Let h(l) = l**2 - 3*l. Let z be h(2). Let p be z/12 - (-57)/18. Factor -p*q**2 + 8*q - 4*q - 3*q**2 - 22*q**3 + 4*q**3.
-2*q*(3*q - 1)*(3*q + 2)
Let c(f) be the second derivative of f**6/210 - 29*f**5/140 - 27*f**4/14 - 134*f**3/21 - 68*f**2/7 + 739*f. Factor c(y).
(y - 34)*(y + 1)*(y + 2)**2/7
Let o(a) be the third derivative of a**11/332640 + a**10/151200 - a**9/30240 - 3*a**5/20 - 6*a**2. Let j(c) be the third derivative of o(c). Solve j(p) = 0.
-2, 0, 1
Let g be ((-2)/(-21))/((-135)/(-5040)). Let u(w) be the first derivative of 4/3*w**2 + 0*w - 10 + 2/5*w**5 + 13/6*w**4 + g*w**3. Factor u(r).
2*r*(r + 2)**2*(3*r + 1)/3
Let f = -2130/67 + 15178/469. Factor f*t**3 + 2/7 + 0*t**2 - 2/7*t**4 - 4/7*t.
-2*(t - 1)**3*(t + 1)/7
Let m(c) be the first derivative of -2/7*c**3 + 10 + 0*c + 2/7*c**2 + 0*c**4 + 2/35*c**5
|
{
"pile_set_name": "DM Mathematics"
}
|
inutes before 6:07 AM?
6:37 PM
What is 77 minutes before 10:38 AM?
9:21 AM
How many minutes are there between 11:24 PM and 3:22 AM?
238
What is 223 minutes before 5:41 AM?
1:58 AM
What is 586 minutes before 9:33 PM?
11:47 AM
What is 677 minutes after 10:51 AM?
10:08 PM
How many minutes are there between 9:37 AM and 2:20 PM?
283
How many minutes are there between 12:38 AM and 9:18 AM?
520
How many minutes are there between 1:08 PM and 12:33 AM?
685
What is 41 minutes after 6:14 PM?
6:55 PM
How many minutes are there between 1:43 PM and 12:30 AM?
647
How many minutes are there between 2:43 PM and 8:14 PM?
331
How many minutes are there between 9:45 AM and 8:45 PM?
660
What is 697 minutes before 9:34 PM?
9:57 AM
How many minutes are there between 3:37 PM and 1:07 AM?
570
How many minutes are there between 8:42 PM and 9:22 PM?
40
What is 315 minutes before 3:23 AM?
10:08 PM
What is 676 minutes after 5:50 AM?
5:06 PM
How many minutes are there between 1:57 AM and 4:36 AM?
159
What is 463 minutes after 7:47 AM?
3:30 PM
How many minutes are there between 6:03 PM and 9:54 PM?
231
What is 607 minutes after 11:11 AM?
9:18 PM
How many minutes are there between 8:26 AM and 6:15 PM?
589
How many minutes are there between 10:00 AM and 9:48 PM?
708
How many minutes are there between 9:27 AM and 3:08 PM?
341
What is 304 minutes before 9:17 PM?
4:13 PM
What is 456 minutes after 12:11 AM?
7:47 AM
How many minutes are there between 11:15 PM and 10:46 AM?
691
How many minutes are there between 3:44 AM and 4:38 AM?
54
What is 88 minutes before 11:13 PM?
9:45 PM
How many minutes are there between 7:03 AM and 4:55 PM?
592
How many minutes are there between 11:33 PM and 6:04 AM?
391
What is 432 minutes before 8:06 AM?
12:54 AM
How many minutes are there between 8:11 AM and 8:20 AM?
9
How many minutes are there between 8:12 PM and 2:28 AM?
376
What is 35 minutes before 9:39 PM?
9:04 PM
What is 617 minutes before 12:02 AM?
1:45 PM
How many minutes are there between 10:07 AM and 5:54 PM?
467
What is 324 minutes after 11:45 PM?
5:09 AM
What is 424 minutes before 7:42 AM?
12:38 AM
What is 2 minutes before 7:29 AM?
7:27 AM
What is 492 minutes after 5:00 PM?
1:12 AM
What is 141 minutes before 2:00 AM?
11:39 PM
How many minutes are there between 12:07 PM and 9:26 PM?
559
What is 260 minutes after 5:55 PM?
10:15 PM
What is 235 minutes before 9:26 AM?
5:31 AM
What is 71 minutes before 5:44 PM?
4:33 PM
How many minutes are there between 4:55 PM and 11:07 PM?
372
What is 488 minutes after 3:22 AM?
11:30 AM
What is 679 minutes after 8:40 PM?
7:59 AM
How many minutes are there between 1:45 AM and 6:05 AM?
260
How many minutes are there between 10:04 PM and 12:42 AM?
158
What is 35 minutes before 6:58 PM?
6:23 PM
How many minutes are there between 12:44 AM and 1:25 AM?
41
What is 54 minutes before 10:01 PM?
9:07 PM
How many minutes are there between 10:51 PM and 10:19 AM?
688
How many minutes are there between 11:40 PM and 11:51 PM?
11
What is 401 minutes after 4:57 PM?
11:38 PM
How many minutes are there between 10:03 AM and 5:01 PM?
418
What is 42 minutes after 9:02 PM?
9:44 PM
What is 107 minutes before 2:57 PM?
1:10 PM
How many minutes are there between 4:16 AM and 9:20 AM?
304
How many minutes are there between 5:04 AM and 8:47 AM?
223
What is 682 minutes after 3:59 AM?
3:21 PM
What is 589 minutes before 3:27 AM?
5:38 PM
How many minutes are there between 4:18 AM and 5:49 AM?
91
How many minutes are there between 2:24 AM and 2:36 AM?
12
What is 670 minutes before 9:25 PM?
10:15 AM
What is 514 minutes before 3:02 PM?
6:28 AM
What is 103 minutes before 3:37 PM?
1:54 PM
What is 176 minutes before 11:35 AM?
8:39 AM
How many minutes are there between 10:22 PM and 8:46 AM?
624
How many minutes are there between 3:06 AM and 2:39 PM?
693
What is 331 minutes before 11:50 AM?
6:19 AM
What is 76 minutes before 7:45 AM?
6:29 AM
What is 504 minutes after 6:31 PM?
2:55 AM
How many minutes are there between 8:35 AM and 2:00 PM?
325
What is 661 minutes after 10:41 AM?
9:42 PM
How many minutes are there between 8:36 PM and 8:20 AM?
704
How many minutes are there between 2:28 PM and 12:12 AM?
584
What is 405 minutes after 2:27 AM?
9:12 AM
What is 699 minutes before 7:43 AM?
8:04 PM
How many minutes are there between 10:30 PM and 7:39 AM?
549
How many minutes are there between 7:43 AM and 2:44 PM?
421
What is 128 minutes after 3:53 PM?
6:01 PM
What is 250 minutes before 10:51 AM?
6:41 AM
What is 526 minutes before 7:07 PM?
10:21 AM
What is 652 minutes before 9:52 PM?
11:00 AM
How many minutes are there between 3:12 AM and 8:12 AM?
300
What is 96 minutes before 1:47 PM?
12:11 PM
What is 439 minutes before 3:00 AM?
7:41 PM
How many minutes are there between 12:05 PM and 6:45 PM?
400
How many minutes are there between 5:47 PM and 8:11 PM?
144
What is 155 minutes before 12:26 AM?
9:51 PM
What is 10 minutes before 5:08 AM?
4:58 AM
What is 639 minutes after 2:38 PM?
1:17 AM
What is 474 minutes before 11:39 AM?
3:45 AM
What is 592 minutes before 10:01 PM?
12:09 PM
How many minutes are there between 2:04 AM and 10:14 AM?
490
What is 669 minutes after 4:12 PM?
3:21 AM
What is 630 minutes before 6:36 PM?
8:06 AM
How many minutes are there between 10:07 PM and 10:01 AM?
714
What is 661 minutes after 9:18 PM?
8:19 AM
How many minutes are there between 1:50 AM and 2:30 AM?
40
How many minutes are there between 5:27 AM and 11:11 AM?
344
What is 391 minutes after 5:30 PM?
12:01 AM
How many minutes are there between 6:20 PM and 8:55 PM?
155
How many minutes are there between 11:19 AM and 8:49 PM?
570
What is 246 minutes after 1:25 PM?
5:31 PM
How many minutes are there between 8:06 AM and 12:19 PM?
253
How many minutes are there between 9:08 PM and 9:52 PM?
44
How many minutes are there between 7:51 PM and 12:54 AM?
303
What is 704 minutes after 10:16 PM?
10:00 AM
How many minutes are there between 9:35 AM and 4:29 PM?
414
What is 480 minutes before 12:56 PM?
4:56 AM
How many minutes are there between 1:54 AM and 12:49 PM?
655
What is 612 minutes after 11:59 PM?
10:11 AM
What is 203 minutes before 3:29 AM?
12:06 AM
How many minutes are there between 10:39 AM and 2:52 PM?
253
What is 315 minutes before 1:45 PM?
8:30 AM
How many minutes are there between 7:36 AM and 3:12 PM?
456
How many minutes are there between 1:30 PM and 7:01 PM?
331
What is 254 minutes after 9:49 AM?
2:03 PM
What is 715 minutes before 1:57 AM?
2:02 PM
What is 243 minutes after 9:59 PM?
2:02 AM
How many minutes are there between 1:12 AM and 1:00 PM?
708
What is 264 minutes before 3:29 PM?
11:05 AM
What is 420 minutes after 4:39 PM?
11:39 PM
What is 270 minutes before 4:24 AM?
11:54 PM
How many minutes are there between 8:00 AM and 2:38 PM?
398
How many minutes are there between 6:03 AM and 6:14 AM?
11
What is 421 minutes before 9:08 AM?
2:07 AM
How many minutes are there between 6:56 PM and 11:56 PM?
300
What is 595 minutes before 3:29 AM?
5:34 PM
What is 677 minutes after 2:24 AM?
1:41 PM
What is 298 minutes after 12:31 AM?
5:29 AM
What is 576 minutes after 9:40 AM?
7:16 PM
What is 145 minutes before 12:31 PM?
10:06 AM
How many minutes are there between 12:05 AM and 9:57 AM?
592
How many minutes are there between 4:47 PM and 3:48 AM?
661
What is 353 minutes after 5:52 AM?
11:45 AM
How many minutes are there between 4:25 AM and 5:24 AM?
59
How many minutes are there between 3:20 AM and 7:54 AM?
274
What is 315 minutes after 1:41 AM?
6:56 AM
How many minutes are there between 5:55 PM and 6:54 PM?
59
What is 111 minutes before 4:56 AM?
3:05 AM
How many minutes are there between 11:17 PM and 11:23 PM?
6
How many minutes are there between 12:23 AM and 4:36 AM?
253
How many minutes are there between 10:50 AM and 6:14 PM?
444
What is 149 minutes before 5:37 PM?
3:08 PM
How many minutes are there between 4:45 AM and 2:29 PM?
584
How many minutes are there between 1:55 AM and 8:09 AM?
374
What is 101 minutes before 12:50 PM?
11:09 AM
How many minutes are there between 10:59 AM and 8:55 PM?
596
How many minutes are there between 6:16 PM and 2:24 AM?
488
What is 136 minutes after 2:38 AM?
4:54 AM
What is 468 minutes before 11:17 PM?
3:29 PM
How many minutes are there between 8:59 PM and 2:17 AM?
318
What is 680 minutes before 1:52 PM?
2:32 AM
How
|
{
"pile_set_name": "DM Mathematics"
}
|
a multiple of 213?
False
Is 874178 a multiple of 268?
False
Does 27 divide 8768817?
True
Does 96 divide 846513?
False
Does 12 divide 135756?
True
Does 211 divide 9336183?
False
Does 1612 divide 31445284?
True
Does 17 divide 132203?
False
Is 275911 a multiple of 123?
False
Does 10 divide 1167530?
True
Is 2009760 a multiple of 30?
True
Is 21 a factor of 43743?
True
Does 69 divide 2171361?
True
Is 18 a factor of 504612?
True
Does 48 divide 423456?
True
Is 118365 a multiple of 13?
True
Is 8 a factor of 12191200?
True
Is 23 a factor of 11322141?
True
Is 33 a factor of 104676?
True
Is 881076 a multiple of 51?
True
Does 17 divide 124638?
False
Is 169282 a multiple of 110?
False
Is 51 a factor of 105011?
False
Does 24 divide 282832?
False
Is 116891 a multiple of 81?
False
Is 5148 a multiple of 4?
True
Is 805895 a multiple of 5?
True
Is 948320 a multiple of 5?
True
Does 44 divide 144268?
False
Is 3646812 a multiple of 482?
True
Is 40388 even?
True
Does 28 divide 122771?
False
Does 16 divide 97264?
True
Is 304590 a multiple of 10?
True
Does 343 divide 226037?
True
Is 110016 a multiple of 32?
True
Is 1487 a factor of 2475855?
True
Does 168 divide 965943?
False
Does 198 divide 1035?
False
Does 128 divide 13715419?
False
Is 19 a factor of 3418863?
False
Does 174 divide 529?
False
Does 22 divide 28355250?
True
Is 3293112 a multiple of 57?
False
Is 14 a factor of 337106?
True
Is 65402 a multiple of 70?
False
Does 247 divide 74347?
True
Is 192 a factor of 1097856?
True
Does 133 divide 52453?
False
Does 48 divide 31839?
False
Does 7 divide 16628?
False
Does 26 divide 28900118?
True
Is 88948 a multiple of 148?
True
Is 55760 a multiple of 164?
True
Does 83 divide 385098?
False
Does 3 divide 6168?
True
Is 151 a factor of 754776?
False
Is 31 a factor of 440045?
True
Does 18 divide 2308770?
True
Is 114 a factor of 442206?
True
Is 124832 a multiple of 8?
True
Is 56 a factor of 534031?
False
Does 21 divide 435909?
False
Is 593725 a multiple of 635?
True
Is 513330 a multiple of 116?
False
Is 22807 a multiple of 210?
False
Is 8 a factor of 430902?
False
Is 1115 a factor of 7919845?
True
Is 40 a factor of 146840?
True
Is 6842540 a multiple of 20?
True
Is 182509 a multiple of 12?
False
Is 23 a factor of 50807?
True
Is 68 a factor of 305252?
True
Is 3231681 a multiple of 2?
False
Is 20049 a multiple of 41?
True
Is 12 a factor of 167588?
False
Is 1684476 a multiple of 611?
False
Does 215 divide 944280?
True
Is 16 a factor of 48336?
True
Is 12526550 a multiple of 55?
False
Does 101 divide 371530?
False
Does 41 divide 6273164?
True
Is 543744 a multiple of 6?
True
Is 226 a factor of 489232?
False
Is 573786 a multiple of 502?
True
Does 8 divide 938439?
False
Is 83 a factor of 67977?
True
Does 2 divide 64799?
False
Is 70 a factor of 66290?
True
Does 12 divide 58134?
False
Does 80 divide 117799?
False
Is 4569215 a multiple of 35?
True
Is 105 a factor of 8081115?
True
Is 103 a factor of 112345?
False
Is 18435690 a multiple of 9?
True
Is 96 a factor of 3035520?
True
Does 76 divide 11096?
True
Is 27 a factor of 2309415?
False
Is 134 a factor of 603094?
False
Does 25 divide 1426657?
False
Is 92 a factor of 602048?
True
Does 58 divide 579191?
False
Is 881649 a multiple of 343?
False
Does 21 divide 1715456?
False
Is 31 a factor of 410927?
False
Does 39 divide 408486?
True
Is 575164 a multiple of 4?
True
Is 194046 a multiple of 103?
False
Is 576 a factor of 1957175?
False
Is 305170 a multiple of 24?
False
Is 1431097 a multiple of 9?
False
Is 8 a factor of 184384?
True
Is 318720 a multiple of 19?
False
Is 13328 a multiple of 136?
True
Is 12 a factor of 9934139?
False
Is 731556 a multiple of 6?
True
Does 2 divide 136799?
False
Does 264 divide 21955178?
False
Is 762 a factor of 2673631?
False
Is 4 a factor of 4186?
False
Is 103 a factor of 1754365?
False
Is 14125800 a multiple of 10?
True
Is 291 a factor of 96030?
True
Is 98287 a multiple of 153?
False
Does 4 divide 145308?
True
Is 1300880 a multiple of 280?
True
Is 13 a factor of 6284356?
True
Is 143784 a multiple of 6?
True
Is 3455641 a multiple of 77?
False
Is 55824 a multiple of 8?
True
Is 9879 a multiple of 267?
True
Is 1513211 a multiple of 7?
True
Is 387 a factor of 115340?
False
Is 23 a factor of 6658731?
False
Does 51 divide 35140927?
False
Is 133393 a multiple of 31?
True
Is 24854 even?
True
Is 803 a factor of 365365?
True
Is 39025 a multiple of 81?
False
Does 6 divide 52750?
False
Is 2449328 a multiple of 133?
True
Is 64 a factor of 2851219?
False
Is 991 a factor of 4468419?
True
Does 28 divide 3612140?
True
Does 14 divide 167020?
True
Does 120 divide 3355518?
False
Is 310 a factor of 2163571?
False
Is 14 a factor of 1505001?
False
Does 6 divide 519730?
False
Is 62 a factor of 658809?
False
Is 134 a factor of 17107?
False
Is 987626 a multiple of 19?
False
Does 29 divide 16008?
True
Is 817 a factor of 504906?
True
Is 23 a factor of 210266?
True
Is 314743 a multiple of 141?
False
Does 585 divide 635469?
False
Is 228 a factor of 1247737?
False
Is 42 a factor of 625230?
False
Does 95 divide 19000?
True
Does 45 divide 1469295?
True
Is 3000646 a multiple of 6?
False
Is 653895 a multiple of 9?
True
Is 157556 a multiple of 119?
True
Is 2811989 a multiple of 16?
False
Does 9 divide 355231?
False
Is 13 a factor of 28349945?
True
Does 130 divide 6278350?
True
Is 185 a factor of 9567?
False
Is 15 a factor of 12420?
True
Is 2441168 a multiple of 1228?
False
Is 19 a factor of 16606?
True
Is 7 a factor of 225402?
False
Is 55636 a multiple of 28?
True
Is 9902984 a multiple of 91?
True
Is 205091 a multiple of 37?
True
Is 128986 a multiple of 13?
True
Does 9 divide 306237?
False
Is 125 a factor of 140483?
False
Does 183 divide 109839?
False
Is 39 a factor of 1708044?
True
Does 7 divide 1866320?
False
Is 475541 a multiple of 29?
False
Is 346 a factor of 2602958?
True
Does 26 divide 107441?
False
Is 370 a factor of 159840?
True
Is 159335 a multiple of 11?
True
Is 214170 a multiple of 33?
True
Does 10 divide 12585570?
True
Does 236 divide 244080?
False
Does 7 divide 168742?
True
Does 11 divide 8271?
False
Is 238 a factor of 229670?
True
Is 13 a factor of 152594?
True
Is 435643 a multiple of 299?
True
Is 491 a factor of 295091?
True
Does 31 divide 2852558?
True
Is 28500 a multiple of 4?
True
Is 7417 a multiple of 46?
False
Does 51 divide 385008?
False
Does 67 divide 144519?
True
Is 111 a factor of 3852673?
False
Is 3 a factor of 27984?
True
Is 16169 a multiple of 10?
False
Is 18 a factor of 13914?
True
Is 13873996 a multiple of 19?
False
Is 8939871 a multiple of 86?
False
Is 79 a factor of 746445?
False
Does 53 divide 1515693?
False
Is 33 a factor of 81400?
False
Does 316 divide 13568617?
False
Is 12 a factor of 91839?
False
Is 84568 a multiple of 682?
True
Is 1171558 a multiple of 5?
False
Is 8994193 a multiple of 21?
False
Is 28763 a multiple of 10?
False
Does 26 divide 349696?
False
Is 191 a factor of 1187867?
False
Is 1363693 a multiple of 211?
True
Is 1303338 a multiple of 25?
False
Is 171 a factor of 39159?
True
Does 991 divide 1866053?
True
Is 16 a factor of 408690?
False
Is 1118245 a multiple of 6?
False
Is 305 a factor of 127185?
True
Does 176 divide 1069904?
True
Does 41 divide 588472?
False
Is 14 a factor of 421078?
True
Is 28 a factor of 7579766?
False
Is 1215153 a multiple of 12?
False
Does 14 divide 1016400?
True
Is 78 a factor of 10659114?
False
Does 15 divide 187260?
True
Is 12 a factor of 10649856?
True
Is 704509 a multiple of 60?
False
Is 5620818 a multiple of 42?
True
Is 4719 a multiple of 3?
True
Is 18 a factor of 528266?
False
Is 548967 a multiple of 19?
True
Is 375430 a multiple of 24?
False
Is 1714885 a multiple of 47?
False
Does 22 divide 2140072?
True
Is 46 a factor of 10074?
True
Is 703000 a multiple of 20?
True
Does 597 divide 1476381?
True
Is 4 a factor of 1516245?
False
Does 96 divide 4384992?
True
Is 535570 a multiple of 3?
False
Is 433143 a multiple of 19?
True
Does 130 divide 38350?
True
Does 38 divide 19076?
True
Does 146 divide 11463628?
True
Is 3198 a multiple of 41?
True
Is 243 a factor of 2240460?
True
Is 11851005 a multiple of 635?
True
Is 779 a factor of 2199484?
False
Is 413717 a multiple of 8?
False
Is 81 a factor of 9059136?
False
Is 48352 a multiple of 4?
True
Does 350 divide 6907950?
True
Is 664755 a
|
{
"pile_set_name": "DM Mathematics"
}
|
g be a(3). Let l = -9 + g. Let z = -61 + 63. What is the greatest common divisor of z and l?
2
Suppose -n - 4185 = -68*n + 22*n. Suppose -310 = -4*a - a + u, -4*a = 3*u - 248. Calculate the highest common factor of a and n.
31
Suppose 0 = 4*r + r - 160. Let q = 179 + -93. Suppose -o = -2*a + q + 38, -236 = -4*a + 5*o. Calculate the highest common factor of a and r.
32
Let v(a) = -a**3 + a - 1. Let o be v(-3). Let n be -2 + 4 + (10/(-12) - 21255/(-234)). What is the highest common divisor of n and o?
23
Suppose -2272 = 25*m - 41*m. Calculate the greatest common factor of 355 and m.
71
Suppose 69*y + 10*y - 3160 = 0. What is the highest common divisor of 128 and y?
8
Let s = 393 + -369. Calculate the greatest common divisor of s and 136.
8
Let w = -807 + 835. Suppose -2*l = 5*u - 558 - 1682, -5*u = 0. Suppose 8*a - l = 3*a. What is the highest common divisor of w and a?
28
Let q be ((-4)/6)/((-2)/144). Let v(d) = -d**2 - 10*d - 9. Let l be v(-6). Let y be 3/((-3)/(-4)) + l + -3. What is the greatest common divisor of y and q?
16
Let d(x) = 4*x + 125. Let p be d(0). What is the greatest common divisor of p and 10?
5
Let f(n) = -3*n**3 - 10*n**2 - 14*n - 25. Let z be f(-7). What is the greatest common factor of z and 34?
34
Suppose 13 = -4*k + 1. Let y be -1 + k - -2 - -23. Let q = -83 + 272. What is the greatest common factor of q and y?
21
Let c(p) = 4*p**2 - 9*p - 3. Let s be c(4). Suppose h = -4, -3*h + 1147 = 4*z - s. Calculate the greatest common divisor of 37 and z.
37
Suppose 0 = 3*k - 7*k + 1080. Calculate the greatest common divisor of 108 and k.
54
Let g(m) = m + 3. Let c be g(-3). Suppose c = 5*v + 1 - 351. Suppose h - 14 = -4. What is the highest common factor of h and v?
10
Suppose 0 = -2*f - 0*f + 8. Suppose h = -f*h. Suppose h = -3*m + 4*x + 34, 8 = -m + 5*x + 1. Calculate the highest common factor of m and 126.
18
Let x(o) = -o**3 - 3*o**2 + 3*o + 6. Let b be (-99)/21 + 6/(-21). Let m be x(b). Suppose -3*j + m = -37. Calculate the greatest common divisor of 182 and j.
26
Let g(c) = c**3 - c**2 + c + 3. Let o be g(0). Suppose o*x - 21 = -3. Let k be ((-20)/(-25))/((-6)/(-315)). Calculate the highest common divisor of x and k.
6
Suppose 0 = 109*z - 104*z - 280. Let i(u) = 8*u**3 + u - 1. Let c be (1/6)/((-6)/(-36)). Let a be i(c). Calculate the highest common divisor of a and z.
8
Let t = 210 + -150. Let z = t - 39. Let a = z - -3. Calculate the highest common divisor of a and 8.
8
Let s(b) = -8 - 16*b**2 + 21*b - 16*b**2 + 31*b**2. Let g be s(14). What is the greatest common factor of 10 and g?
10
Suppose 153 = 5*k + 12*k. Calculate the greatest common divisor of 144 and k.
9
Let m(i) = -4*i - 1. Let o = 4 + 3. Suppose 5*k + 22 = o. Let c be m(k). Calculate the highest common divisor of 22 and c.
11
Suppose 166*n - 15 = 163*n. What is the greatest common factor of n and 10?
5
Suppose 0 = -5*v + v + 108. Let p be (-15)/(-20) + (-174)/8. Let j be 126/(-2)*p/7. Calculate the highest common factor of v and j.
27
Let l = -26 + 28. Suppose i + 5*m = -3*i + 293, -5*i - l*m + 362 = 0. Calculate the greatest common divisor of i and 9.
9
Let s(r) = 3*r + 127. Let c be s(-24). Calculate the greatest common factor of 44 and c.
11
Let v(j) = -j**2 - 6*j + 3. Let s be v(-5). Suppose 3*t = 8*t - 840. Suppose -2*z + t = z. Calculate the highest common divisor of s and z.
8
Suppose 3*m = -0*m - 15, 0 = -5*t + 4*m + 220. Suppose 6*v - t = 68. What is the highest common divisor of v and 18?
18
Let q be 9 - -90*(-12)/(-8). What is the greatest common factor of 112 and q?
16
Let u = -14 - -11. Let q be -2 - (-1 - (18 + u)). Suppose -4*t + 46 = q. Calculate the greatest common factor of 64 and t.
8
Suppose 25*g - 4284 = 15216. What is the greatest common factor of g and 12?
12
Let q(t) = 40*t**2 - t + 1. Let i be q(1). Let g = 43 - 48. Let k be (-8)/10*2*g. What is the highest common divisor of k and i?
8
Let x(s) = -s**3 - 3*s**2 + 6*s. Let m be x(-5). Let w = m + -18. Suppose v = w*r - 16, 4*v - 23 = -3*r + 5*v. What is the greatest common divisor of r and 7?
7
Suppose 0 = 2*y - 1068 + 200. What is the highest common factor of y and 21?
7
Let f(j) be the first derivative of 3*j**2/2 + 1. Let t be f(3). Let v be (-84)/(-252)*-243*(-2 - -1). Calculate the greatest common factor of v and t.
9
Suppose 4*t + 5*i - 7 - 21 = 0, -5*t + 2*i + 35 = 0. Let u(b) = b**2 - 4*b + 2. Let z be u(5). Calculate the greatest common divisor of t and z.
7
Let w(l) = -l**3 - l + 5. Let b be w(0). Suppose -5*x + 2*f + 79 = 0, 3 = -x + 2*f + 22. Let g = x - 10. Calculate the highest common factor of b and g.
5
Let m = 698 - 638. Calculate the highest common factor of m and 144.
12
Let p(d) = 12*d + 8. Let t be p(5). Let b = 86 - t. What is the highest common divisor of 9 and b?
9
Suppose 14*o = 3*o - 66. Let k = 26 + o. Calculate the highest common divisor of 80 and k.
20
Let p(u) = -4*u**2 - 39*u - 13. Let z be p(-11). Let y = z - -86. What is the highest common factor of y and 12?
6
Suppose 181 = 17*f - 295. Calculate the highest common factor of f and 16.
4
Let t be 4*1*6/4. Let q(s) = 13*s**2 - 3*s + 2*s - 3*s - s**3 - 6*s**2. Let o be q(t). Calculate the greatest common factor of o and 12.
12
Suppose 2*g + 4 = -2*g + 4*i, -i - 15 = -5*g. Suppose 31 = g*j + 15. What is the greatest common factor of 6 and j?
2
Let i = 4820 + -2587. What is the highest common factor of 58 and i?
29
Let h(r) = 2*r**2 + 4*r + 9. Let i be h(7). Suppose 2*f + i = 347. Suppose m = a - 36, m + f = 2*a + a. Calculate the greatest common divisor of a and 7.
7
Suppose 0 = 1291*u - 1289*u - 48. Calculate the highest common factor of 552 and u.
24
Suppose 0 = -4*i + 406 - 302. Calculate the highest common factor of 52 and i.
26
Suppose 0 = -5*f - 103 - 197. Let v be -2 + -1 - f/6. Suppose 2*y - 5*u = y + v, -5*y + 56 = -4*u. Calculate the greatest common divisor of y and 6.
6
Let m(u) = 31*u - 3 - 14*u**2 - 13*u + 13 + 14*u - u**3. Let z be m(-16). Calculate the highest common divisor of 4 and z.
2
Suppose -2*k + k = -3*g + 97, 3*g - 98 = 2*k. Let s(d) = -7*d + 279. Let b be s(33). What is the greatest common divisor of g and b?
16
Let o = -34 + 62. Let h = -287 + 399. What is the highest common factor of o and h?
28
Let d(j) = 3*j**2 + 0*j**3 - 2*j**2 + 5*j**2 + 2*j - 9 + j**3. Let p be d(-4). Calculate the greatest common divisor of p and 90.
15
Let a be (7/14)/((-2)/(-596)). Suppose -137 = 4*x - a. Let i = 1 + 0. What is the highest common divisor of i and x?
1
Let a = -98 + 164. Calculate the highest common divisor of 18 and a.
6
Let z(w) = 165*w**2 - 9*w - 15. Let u be z(-2). What is the greatest common factor of u and 13?
13
Suppose -11*d - 12460 = -15*d. What is the highest common factor of 35 and d?
35
Let n(b) = 56*b - 20. Let h be n(7). Calculate the highest common factor of h and 24.
12
Suppose 5*p + 4*w - 134 = -35, -3*p + 3*w + 54 = 0. Let j = 105 + 104. Calculate the highest common factor of j and p.
19
Suppose 2*s + 4*v + 40 = 5*s, 0 = 3*v - 6. Let f be (8/(-6))/((-14)/2520). Suppose 8*h + f = 13*h. Calculate the greatest common factor of h and s.
16
Suppose -447 = -2*k + 5*g, -3*k - 2*g = g - 639. Suppose 0*z = 5*z - 55. Suppose 9*q = z*q - 54. What is the greatest common factor of q and k?
27
Let l(c) = c**3 - 5*c**2 - 4*c - 10. Let u be l(11). Suppose 0 = -o + 7*o - u. What is the highest common divisor of 16 and o?
16
Let t = 1617 - 1602. What is the greatest common factor of t and 35?
5
Let n(v) = 11*v**2 - 10*v**2 + 25*v - 10*v + 31. Let j be n(-14). Calculate the highest common divisor of 187 and j.
17
Suppose o - 11 = -3*d - d, 3*d - 9 = -o. Suppose d*j = -n + 3, j = -2*j. Calculate the greatest common divisor of 21 and n.
3
Suppose -30*o + 32*o + 4 = 0. Let t be o/(((-24)/(-60))/(8/(-5))). What is the greatest common divisor of 16 and t?
8
Suppose 4*r - 19 = -n + 6, 0 = 2*n + 2*r - 32. Let q be (-17)/(68/(-264)) + -2 + 1. What is the highest common factor of n and q?
13
Suppose 132 = -249*g + 251*g. What is the highest common divisor of g and 12?
6
Let k be -576*(1/3)/(31/(-93)). Calculate the greatest common divisor of k and 18.
18
Let u = 0 - -17. Let r = u - -27. Calculate the greatest common divisor of 11 and r.
11
Suppose -4*d - 537 = 61*q - 66*q, -111 = -q + 2*d. Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
-1 - 3 = -4*x. Let h(p) = -44*p**2 - p + 1. Let r be h(x). Let i = 91 - r. What is the hundreds digit of i?
1
Let p(x) = 99*x**3 + 44*x**2 - 17*x + 171. What is the ten thousands digit of p(7)?
3
Let b be 2670/(-24) + 3*(-1)/(-12). Let w = b - -109. What is the units digit of (-52)/((-9)/((-27)/w))?
8
Let i = -112 + 112. Suppose i = 4*t - 89 + 61. Let l(n) = 26*n - 42. What is the tens digit of l(t)?
4
Let o(i) = 181*i**2 + 9*i - 28. Let j(s) = -183*s**2 - 8*s + 25. Let t(c) = -4*j(c) - 3*o(c). What is the tens digit of t(2)?
5
Suppose -5*s + 8*s = 9. Suppose -s*a - b = -779, -9*a - 2*b = -6*a - 784. Let i = a + -81. What is the hundreds digit of i?
1
Let k be 20/15 + 354/(-9)*-92. Suppose t - 5*t - k = -4*n, -2*t - 905 = -n. What is the tens digit of n?
0
Suppose -32*i + 1734552 = 17*i + 23*i. What is the units digit of i?
1
Suppose 109 = 2*b - 5*l, 0 = b + 3*l - l - 50. Suppose -b = -8*t + 12. Suppose 368 + 240 = t*j. What is the units digit of j?
6
Let s be ((-1182)/(-3))/((-2)/(-6)). Let f = s - 412. What is the units digit of f?
0
Suppose 47*u - 15717 = 84581. What is the tens digit of u?
3
Suppose 4*f - f + 5*q + 4 = 0, f - 3*q - 8 = 0. Suppose -4*l = -2*k - f, 3*k + k - 5*l = -7. Let t = k + 15. What is the tens digit of t?
1
Let w(b) = -7617*b + 50. What is the tens digit of w(-2)?
8
Let t(s) = -58 + 67 - 4*s + 2*s + 5*s**2. Let a be t(-6). Suppose -o + 219 = 3*q, -3*q = -5*o - 0*o - a. What is the tens digit of q?
7
Let h(o) = 2*o**2 - 82*o - 2224. What is the tens digit of h(-42)?
4
Let g(h) = -h**3 + 2*h**2 + 6*h + 11. Let z be g(0). Suppose -4*x - 4830 = -z*x. What is the hundreds digit of x?
6
Let d(g) = 285*g**3 - g**2 + g - 1. Let r be d(1). Let c = r - 248. What is the tens digit of c?
3
Let o = -40155 + 43387. What is the tens digit of o?
3
Let d be 1*(-6 - -5)*1. What is the units digit of (6/12 + d)/(2/(-344))?
6
Let z be 46/(-14) - -4*(-2)/(-28). Let r(d) = -3*d**3 + 5*d**2 - 2*d - 11. What is the units digit of r(z)?
1
Let g = 50 - 76. Let v = g - -97. Let m = v - -66. What is the units digit of m?
7
Let c(a) = a**3 + 10*a**2 + 7*a - 1. Let w be c(-7). Suppose 7*u - 78 = w. Suppose -u*s + 124 = -21*s. What is the units digit of s?
1
Suppose 4*y - 4492 = -4*u, -y - 15*u = -11*u - 1123. Suppose -3*s + 15 = 0, -3*k + 2*s - 236 + y = 0. What is the units digit of k?
9
Suppose 20*a = 47*a + 17469. Let q = -603 - a. What is the units digit of q?
4
Let v = 15 - 11. Suppose 5*g = v*g + 28. What is the tens digit of (-1996)/(-14) - g/49?
4
Let r(v) = -2*v**2 + 11*v + 3. Let z be r(2). Let a(j) = 2*j**2 - 16*j - 92. What is the hundreds digit of a(z)?
2
Suppose -o - 8 = 2*t, -5*o - 4*t - 19 + 3 = 0. Let h be 3 + o - (-2 - 49). Suppose -56*l + 200 = -h*l. What is the units digit of l?
0
Let c = -1636 + 1744. Suppose 44 + 281 = -5*f. Let o = c + f. What is the tens digit of o?
4
Suppose 4*o - 32 = 12. Suppose -11 = -j - 1. Suppose -j*d - 39 = -o*d. What is the tens digit of d?
3
Let w(g) = 4467*g + 106. What is the units digit of w(4)?
4
Let j = 124705 - 64340. What is the thousands digit of j?
0
Let l(q) = q + 7. Let d be l(-7). Let s = -197 - -216. Suppose -2*b = -4*t - s + 345, d = 5*t + b - 397. What is the units digit of t?
0
Suppose 0 = 45*z - 14*z - 193285. What is the units digit of z?
5
What is the tens digit of 0 - 20/(-16) - (-102476)/16?
0
What is the thousands digit of (-419)/((-46)/9 - (-65)/(29 + -16))?
3
Suppose 2*x - 8011 = -5*o, 2*o = 2*x - 6936 - 1068. What is the hundreds digit of x?
0
Let d(h) = 99*h - 344. Let w be d(6). Let x(u) = 17*u - 2. Let p be x(-3). Let k = p + w. What is the tens digit of k?
9
Suppose 0 = -2*y - 3*t + 54382, 0*y - 4*t - 27213 = -y. What is the units digit of y?
7
Let v(y) = y**3 + 12*y**2 + 14*y + 41. Let t be v(-11). Suppose t*l = -1022 + 8110. What is the units digit of l?
6
Suppose 6 = 10*p - 24. Suppose 0 = -4*s + p*x + 23, -4*s + 5*x = 22 - 55. What is the tens digit of 1/(-4)*s*(-175 + 1)?
8
Let k = 292 + -199. Suppose 6*w - 777 = k. What is the tens digit of w?
4
Suppose 75*j - 165213 - 17712 = 0. What is the hundreds digit of j?
4
What is the units digit of 129*(2 - (-12)/(-7))*30394/52?
3
Let u = 8912 + 5697. What is the tens digit of u?
0
Let m = -10 + 18. Let s be ((-8)/10)/((-10)/(-25)). What is the tens digit of (-37)/(-1) + m/s?
3
Suppose 4*m + 7*m - 88506 = -25190. What is the tens digit of m?
5
Let v = -2016 - -3784. Let w = v + -1112. What is the tens digit of w?
5
Let x = -1250 - -1246. Let a(q) = q**3 + 4*q + 6*q**2 + 0*q**3 - 13*q. What is the tens digit of a(x)?
6
Let p = -23 - -23. Suppose d + d = -n + 14, 5*n - 3*d - 5 = p. What is the units digit of (0 - 0) + (n + 17 - -4)?
5
Suppose 7*p - 4675 = 14820. Suppose 0 = -2*a + 255 + p. What is the thousands digit of a?
1
Let v(o) = -o + 23. Let n be v(23). Let m be 1/1 + -1 - (n + -3). Suppose -4*k = -t + k + 136, 5*k + 358 = m*t. What is the units digit of t?
1
Suppose 0 = -7*k + 5*k - 1332. Let c = k - -1371. What is the hundreds digit of c?
7
Let l be (0 + 6)*((-30)/12 - -2). What is the hundreds digit of 5 - (-1 + -142 + l)?
1
Let f = -16 - -16. Suppose 4*p - 3341 + 565 = f. What is the tens digit of -6 + 616/105 + p/30?
2
Let q(o) = -o**3 - 2*o**2 + o + 14. Suppose -70 = 11*v + 29. What is the units digit of q(v)?
2
Suppose 3*w + 3*r - 24032 = 33835, -w = -4*r - 19269. What is the hundreds digit of w?
2
Let y(w) = 14*w**2 + 6*w + 99. Suppose -2*u + 37*u - 280 = 0. What is the hundreds digit of y(u)?
0
Suppose -797*u = -794*u + 3*f - 40308, 2*f - 67186 = -5*u. What is the units digit of u?
8
What is the tens digit of (-14 + 96/9)*-1038?
6
Let b(h) = h**2 - 18*h + 21. Let z be b(15). Let p be z - 0 - (0 + (3 - 2)). Let k = 39 + p. What is the tens digit of k?
1
Suppose -7*r = 300 + 50. Let b = -45 - r. Suppose x = b*x - 452. What is the units digit of x?
3
Let y = 20954 + -13917. What is the units digit of y?
7
Let p = 220 + 11862. What is the units digit of p?
2
Suppose 0 = -5*g + 8*g - s + 1, 4*g - s + 1 = 0. Let j be ((-30)/8 + g)/(4/(-16)). Let a(i) = i**3 - 17*i**2 + 36*i - 21. What is the tens digit of a(j)?
6
Let w(c) = 98*c + 801. What is the thousands digit of w(3)?
1
Suppose 0 = -3*i + 2*z + 1651, -14*z + 16*z - 2192 = -4*i. Suppose -5*f - 4*m + 2803 = 0, -6*f + 5*f + 5*m = -i. What is the hundreds digit of f?
5
Let y(x) = -109*x + 147. Let p be y(-5). Suppose 4*b + 692 = 6*b + 4*n, 2*b - p = -2*n. What is the tens digit of b?
4
What is the tens digit of (-10)/(-25) - ((-40763)/5 + 4)?
4
Let i(b) = 8*b**2 - 31*b + 80. Let q be i(3). Suppose -q*z + 39699 + 13873 = 0. What is the units digit of z?
8
Let v(f) = f**2 + 12*f - 36. Let b be v(7). Let i = -38 + b. Suppose -2*q = -2*a + 34, 6*q - i = -4*a + q. What is the tens digit of a?
1
Let k = -49129 - -80662. What is the hundreds digit of k?
5
Suppose 9*k - 198 = -63. Suppose -7*o + k*o = 40. Suppose 2*x + x = -5*r + 63, 83 = o*x + r. What is the units digit of x?
6
Suppose 873 = 2*k - 247. Suppose f - 73 = k. What is the hundreds digit of f?
6
Suppose -221536 = -5*s + 2*c, -s + c - 5*c = -44316. What is the ten thousands digit of s?
4
Suppose n = 3*n + 2*n. Suppose r - 3 = -0*r + b, n = 2*b - 4. Suppose -3*x - r*y = -379, 2*x - 2*y + 510 = 6*x. What is the units digit of x?
8
Suppose 4*g = -2*l + 28, 6*l + g = 3*l + 22. Let p be l + -2 - (17 - 16). Suppose -2*c - p*c + 4*a + 269 = 0, 3*c = 2*a + 161. What is the units digit of c?
3
Suppose 6*k = -3*k - 711. Let l be 2/11 + k/11. What is the units digit of l/((-28)/(-16)) + 203?
9
Suppose -4*r = 3*p + 156, -5*p + 0*p - 2*r = 246. What is the tens digit of (p/40)/(18/(-1485))?
9
Let b = -51775 + 95645. What is the hundreds digit of b?
8
Suppose -x - x - 5*z - 19 = 0, -3 = 3*z. Let c(h) = 17*h - 22. Let o be c(x). Let q = -77 - o. What is the units digit of q?
4
Let p(h) = h**3 + 16*h**2 - 2*h - 23. Let f be p(-16). Suppose f*l = -5*l - 910. Let y = l + 99. What is the tens digit of y?
3
Let b = 5597 - 2912. Suppose 0 = 9*s + 30 - b. What is the units digit of s?
5
Let c(z) = -z**3 + z**2 - 5*z + 4. Let i be c(0). Let g be 22/33*18/i. Suppose g*d = o - 97 - 39, -430 = -3*o - 2*d. What is the tens digit of o?
4
Suppose 5*m = 4*q - 0*m - 16, 5*q - 65 = -5*m. Let a(x) = 40 - 2*x + 2*x + 4*x. What is the uni
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + sqrt(11) + sqrt(11))*-6)**2.
-144*sqrt(11) + 1624
Simplify sqrt(52)/(sqrt(44)/(sqrt(66)/sqrt(6))).
sqrt(13)
Simplify ((sqrt(80) - (sqrt(80) + 2*sqrt(80)))/sqrt(8))/(sqrt(2) - sqrt(98)*2).
2*sqrt(5)/13
Simplify 5*(sqrt(70)*-1*-2 - sqrt(70))/(sqrt(80)/sqrt(128)).
20*sqrt(7)
Simplify -1 + -4*-2*sqrt(500).
-1 + 80*sqrt(5)
Simplify (sqrt(152) - 1*sqrt(152)*-6)/(sqrt(8) - (sqrt(8) - sqrt(16)/sqrt(2) - sqrt(8))*1).
7*sqrt(19)/2
Simplify (sqrt(78)/sqrt(2))/sqrt(3)*2.
2*sqrt(13)
Simplify (sqrt(242) - (-1 + sqrt(242))**2) + -2.
-245 + 33*sqrt(2)
Simplify (-5*sqrt(832)*2)**2 + 2 + (sqrt(832) + -1 + sqrt(832))**2.
-32*sqrt(13) + 86531
Simplify 2*((sqrt(1944)*2)/sqrt(8) + 0)**2.
1944
Simplify sqrt(140)/(sqrt(15)/sqrt(3)) + sqrt(28).
4*sqrt(7)
Simplify sqrt(50)/((sqrt(80) + (sqrt(80) - (sqrt(80) + (sqrt(80)*-5 - sqrt(80)))))/sqrt(8)).
sqrt(5)/7
Simplify (2 + sqrt(272))**2 + 5.
16*sqrt(17) + 281
Simplify (2*(0 + sqrt(11) - sqrt(11)))**2 + sqrt(66)/sqrt(24).
sqrt(11)/2
Simplify sqrt(700) + sqrt(700)*-1*-4 + (sqrt(245)/sqrt(45))/sqrt(7).
151*sqrt(7)/3
Simplify -2 + (sqrt(75) - (sqrt(75) + 1 + 5)).
-8
Simplify (sqrt(1053) + 4 + sqrt(13) + sqrt(13)*4*2)**2.
144*sqrt(13) + 4228
Simplify sqrt(19)*-2*1 - (-2 + sqrt(19) + 1 + sqrt(19)).
-4*sqrt(19) + 1
Simplify (sqrt(36)/(sqrt(6)/sqrt(3)))/(sqrt(150)*3 - sqrt(150)).
sqrt(3)/10
Simplify 2*-4*-2*sqrt(7) + 3.
3 + 16*sqrt(7)
Simplify 1 + sqrt(18) - (sqrt(50) + -1).
-2*sqrt(2) + 2
Simplify (-2*(sqrt(33) - (sqrt(132) + sqrt(33))))/(sqrt(891) - (sqrt(891) - sqrt(891)*1)).
4*sqrt(3)/9
Simplify ((sqrt(77)*2)/sqrt(7))**2 - (sqrt(88)*-2)/sqrt(8).
2*sqrt(11) + 44
Simplify ((sqrt(18)*-3)**2 - (sqrt(2) + (sqrt(6)/sqrt(48))**2))*-4.
-1295/2 + 4*sqrt(2)
Simplify (6*(sqrt(17) - sqrt(51)/sqrt(3)*4))**2.
5508
Simplify -4 + sqrt(45) + 3.
-1 + 3*sqrt(5)
Simplify -2*(sqrt(1216) + -2).
-16*sqrt(19) + 4
Simplify 2 + (sqrt(208) + (sqrt(208) + sqrt(208) + sqrt(208)*1 - sqrt(208)) + sqrt(208))**2.
3330
Simplify (sqrt(65)/(sqrt(5) + sqrt(45)) - sqrt(13))**2 + sqrt(13) + -3 + -1*sqrt(13).
69/16
Simplify -3*(-1 + sqrt(5))*-3.
-9 + 9*sqrt(5)
Simplify (4 + sqrt(180) + 1)*6.
30 + 36*sqrt(5)
Simplify (6*(sqrt(110) - (sqrt(110) + (sqrt(110)*-1 + sqrt(110) - sqrt(110)))))/(-1*sqrt(160)).
-3*sqrt(11)/2
Simplify sqrt(28)/(sqrt(4) + sqrt(16)*5)*-6*-1.
6*sqrt(7)/11
Simplify 1 + (2 + sqrt(8) + sqrt(2)*-1 + -2)**2.
3
Simplify (-3*sqrt(68)/sqrt(4))**2 + 1 + (sqrt(272) + sqrt(17) + sqrt(17) - sqrt(17))**2.
579
Simplify -3 + ((0 + sqrt(252))**2 - sqrt(252)) - (sqrt(28) + (sqrt(252) + -1)**2).
-4 + 4*sqrt(7)
Simplify (sqrt(84) + (sqrt(84)*2 - sqrt(84)) - sqrt(84))/sqrt(12) + ((1 + sqrt(21)/sqrt(3))**2 - sqrt(7)).
2*sqrt(7) + 8
Simplify 3 + (-1*sqrt(2448))**2 + -2 + (sqrt(51)/sqrt(3) - sqrt(17))**2 + 4.
2453
Simplify sqrt(891) + -3 + -2.
-5 + 9*sqrt(11)
Simplify (1 + sqrt(176) + -1*sqrt(891))*2.
-10*sqrt(11) + 2
Simplify (sqrt(19) + sqrt(38)/sqrt(2)*-5)*-6*-6.
-144*sqrt(19)
Simplify (sqrt(637) + 3 - sqrt(637))**2 - (-6*(sqrt(13) + 3 + sqrt(13)))**2.
-2187 - 432*sqrt(13)
Simplify sqrt(130)/(2*sqrt(10)) - (sqrt(117) + (sqrt(117)*2 - sqrt(117)) + sqrt(117))/sqrt(9).
-5*sqrt(13)/2
Simplify (((1 + sqrt(162) - sqrt(162) - sqrt(162))*6 - sqrt(162)) + -2)**2.
-504*sqrt(2) + 7954
Simplify ((sqrt(1088)*2 - sqrt(1088)) + -1)*3.
-3 + 24*sqrt(17)
Simplify (-4 + 3*sqrt(5))*2*-4.
-24*sqrt(5) + 32
Simplify (3 + sqrt(13))*-3 + 3.
-3*sqrt(13) - 6
Simplify -4*1*sqrt(2)*-4.
16*sqrt(2)
Simplify (sqrt(5) + sqrt(5) + -1)*2 + 2.
4*sqrt(5)
Simplify ((sqrt(147) - -1*sqrt(147)) + 3)**2.
84*sqrt(3) + 597
Simplify (-6*(sqrt(7) + 2) - (sqrt(7) - sqrt(70)/(sqrt(20)/sqrt(2))))*-4.
48 + 24*sqrt(7)
Simplify -3 + (0 + sqrt(567) + 4)**2 + sqrt(567) + 3.
81*sqrt(7) + 583
Simplify (0 + sqrt(108) - sqrt(3))**2 + 3.
78
Simplify ((sqrt(2) - (sqrt(162)*-1 + sqrt(162))**2) + (sqrt(98)*-1)**2)*-4.
-392 - 4*sqrt(2)
Simplify 1*-1*(sqrt(171) + -3 - sqrt(19))**2.
-85 + 12*sqrt(19)
Simplify (sqrt(19) - (sqrt(1216) + sqrt(1216)*2 + sqrt(1216))**2) + sqrt(19) + 5.
-19451 + 2*sqrt(19)
Simplify (sqrt(68)*2*1)/(4*sqrt(144)).
sqrt(17)/12
Simplify (-3 + (sqrt(19) - (sqrt(19) + -1*sqrt(1539))))**2.
-54*sqrt(19) + 1548
Simplify -4 + (-5 + 4 + sqrt(19))**2.
-2*sqrt(19) + 16
Simplify (sqrt(19) - sqrt(76)/(sqrt(4)*2)) + sqrt(76) + sqrt(19) + 4.
4 + 7*sqrt(19)/2
Simplify -1*sqrt(931) + (sqrt(304) + (sqrt(304) - (sqrt(304) + 0)))**2.
-7*sqrt(19) + 304
Simplify sqrt(34)/((sqrt(8) - sqrt(2))*3).
sqrt(17)/3
Simplify -3 + (sqrt(324)*1)/sqrt(3).
-3 + 6*sqrt(3)
Simplify 5 + 2*-5*sqrt(14)/sqrt(2).
-10*sqrt(7) + 5
Simplify 5 + (sqrt(2700) + -1)**2.
-60*sqrt(3) + 2706
Simplify ((sqrt(5) + -2)*3 + sqrt(5) + (-2*sqrt(60))/sqrt(12))**2.
-24*sqrt(5) + 56
Simplify sqrt(70)/(sqrt(10) - sqrt(160))*2 - (sqrt(49)/sqrt(112) + -2)**2.
-71/16 + sqrt(7)/3
Simplify (-1 + (-2*sqrt(28))/sqrt(4)*5)**2.
20*sqrt(7) + 701
Simplify -2 + -1*sqrt(1331).
-11*sqrt(11) - 2
Simplify ((-2 + (sqrt(114)/sqrt(2))/sqrt(3) + 5)*-3)**2.
54*sqrt(19) + 252
Simplify (4*-1*sqrt(1100) - sqrt(1100))*6.
-300*sqrt(11)
Simplify (3*sqrt(1008) - sqrt(63))/(sqrt(81)/sqrt(36)).
22*sqrt(7)
Simplify (4*-5*(sqrt(5) + sqrt(20) + 5 + sqrt(5) - sqrt(605)*-2))**2.
104000*sqrt(5) + 1362000
Simplify sqrt(90)/sqrt(5)*5.
15*sqrt(2)
Simplify 4*((sqrt(176) - (sqrt(176)*3)**2) + 2).
-6328 + 16*sqrt(11)
Simplify (sqrt(57)/sqrt(3) + 1 + -4 + 0)**2.
-6*sqrt(19) + 28
Simplify 5*sqrt(363) + 1.
1 + 55*sqrt(3)
Simplify 0 + (sqrt(1539) + -2)**2 + 0.
-36*sqrt(19) + 1543
Simplify -1 + 1*sqrt(13) - (-1 + sqrt(26)/sqrt(2)).
0
Simplify (2*sqrt(1573) - sqrt(1573)) + (sqrt(13) - 4*(sqrt(39)/sqrt(3))**2).
-52 + 12*sqrt(13)
Simplify (sqrt(180) - (sqrt(180) + 0 + 5 + sqrt(180)))**2*-2.
-410 - 120*sqrt(5)
Simplify ((0 + sqrt(612) - sqrt(612)) + sqrt(612) - sqrt(612) - sqrt(612))**2 - (sqrt(272) + 1).
-4*sqrt(17) + 611
Simplify -1 + -4 + sqrt(275).
-5 + 5*sqrt(11)
Simplify sqrt(68) + 5 + (-1 + sqrt(68))**2.
-2*sqrt(17) + 74
Simplify (((sqrt(192)/sqrt(4))/sqrt(2) + sqrt(24))/(((sqrt(288)*2 - sqrt(288)) + sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(8)))**2.
12
Simplify (sqrt(57)*2*-6)/(-2*sqrt(300) - sqrt(300)).
2*sqrt(19)/5
Simplify (-2*sqrt(132)*3)/sqrt(12) + (sqrt(704) + 0 - sqrt(704))**2 + 4.
-6*sqrt(11) + 4
Simplify sqrt(80)*-2 + -3 + 5.
-8*sqrt(5) + 2
Simplify (sqrt(528) - (sqrt(528) - 1*sqrt(528)*2 - sqrt(528)))/sqrt(11).
12*sqrt(3)
Simplify ((-1 + sqrt(147))*5)**2.
-350*sqrt(3) + 3700
Simplify (sqrt(7) + (1 + sqrt(7))**2 - sqrt(7)) + -5 - (sqrt(343) - (sqrt(343) - (sqrt(343) + 2))).
-5*sqrt(7) + 1
Simplify ((-1*sqrt(1008))**2 - (0 + sqrt(700))**2)*1.
308
Simplify (4 + 2*sqrt(3)*-1)**2.
-16*sqrt(3) + 28
Simplify (sqrt(49)/sqrt(28) - (sqrt(28)/sqrt(4) + -5))**2.
-5*sqrt(7) + 107/4
Simplify ((sqrt(228) - sqrt(228)*-2)*4)/sqrt(12).
12*sqrt(19)
Simplify 2 + sqrt(11) + (sqrt(99)*-2)**2.
sqrt(11) + 398
Simplify ((sqrt(11) + sqrt(11)*2 + sqrt(11))**2 + 5)*6 + -1.
1085
Simplify -6*sqrt(19)*-4 + -5.
-5 + 24*sqrt(19)
Simplify 6*(sqrt(175) - (sqrt(175) + sqrt(175)*2) - ((sqrt(7) - (sqrt(112) + sqrt(7)))*-4)**2).
-10752 - 60*sqrt(7)
Simplify ((-4*(sqrt(152) - 1*sqrt(152)))/((2*sqrt(648) - sqrt(648)) + sqrt(648) - sqrt(648)))**2.
0
Simplify (sqrt(30)/(sqrt(36)/sqrt(6)) - (sqrt(40)/(sqrt(8)*-1) + sqrt(5)))**2.
5
Simplify sqrt(77)/sqrt(44) - -2*(sqrt(21)/sqrt(3))**2.
sqrt(7)/2 + 14
Simplify 5 + (sqrt(1584) - (2 + sqrt(1584) + sqrt(1584)))*1.
-12*sqrt(11) + 3
Simplify 3*(-1 + sqrt(112))**2.
-24*sqrt(7) + 339
Simplify (2*sqrt(847) + sqrt(847))**2*4.
30492
Simplify sqrt(68) - (sqrt(68) + -1 + sqrt(68))*2.
-6*sqrt(17) + 2
Simplify (sqrt(135)/(sqrt(15)/sqrt(3)))/(sqrt(9) - (sqrt(9) + sqrt(18)/sqrt(2))*-2).
sqrt(3)/5
Simplify 4 + ((sqrt(85)*1)/sqrt(5) - (sqrt(833) - 1*sqrt(833))**2).
4 + sqrt(17)
Simplify (sqrt(11) + sqrt(11)*-1)*3 + (sqrt(1331) + sqrt(1331)*-2)**2.
1331
Simplify (sqrt(76) + 0)**2 - sqrt(76) - (sqrt(931) + -1)**2.
-856 + 12*sqrt(19)
Simplify ((sqrt(90)/sqrt(5)*1)/(sqrt(294)*3))**2.
1/147
Simplify (-1 + sqrt(28))**2 + sqrt(7) + sqrt(7)*-2 + sqrt(7) + -3.
-4*sqrt(7) + 26
Simplify (1*sqrt(65))/sqrt(5)*4.
4*sqrt(13)
Simplify ((-2 + sqrt(2057) + -4 + sqrt(17) + 2 + sqrt(17))*6)**2.
-3744*sqrt(17) + 104004
Simplify (sqrt(77)*1*-3)/sqrt(7).
-3*sqrt(11)
Simplify (sqrt(704) + (sqrt(704) + 0)*6)**2 + -2.
34494
Si
|
{
"pile_set_name": "DM Mathematics"
}
|
llimeters?
300
How many minutes are there in twenty-nine sixths of a week?
48720
Convert 55124.89 centuries to decades.
551248.9
What is 6.9812226 minutes in days?
0.00484807125
Convert 669001.6 meters to centimeters.
66900160
Convert 70.47726 millennia to decades.
7047.726
How many nanograms are there in 37/2 of a microgram?
18500
What is 7/2 of a millimeter in micrometers?
3500
How many meters are there in one tenth of a kilometer?
100
What is 563818.5 centuries in decades?
5638185
How many kilograms are there in one quarter of a tonne?
250
What is three eighths of a week in hours?
63
What is 1/4 of a milligram in micrograms?
250
How many nanometers are there in 3.959752m?
3959752000
How many micrometers are there in one tenth of a meter?
100000
How many years are there in 27236.313 months?
2269.69275
What is 98013.39um in centimeters?
9.801339
How many millilitres are there in fourty-four fifths of a litre?
8800
What is 0.6689 decades in months?
80.268
Convert 72.15843nm to kilometers.
0.00000000007215843
How many litres are there in 49815.75 millilitres?
49.81575
What is 2814.733 millennia in years?
2814733
Convert 60633.84 meters to nanometers.
60633840000000
Convert 2983103.1 months to centuries.
2485.91925
What is eight thirds of a decade in months?
320
How many micrograms are there in 8/25 of a milligram?
320
Convert 0.6956167 millimeters to kilometers.
0.0000006956167
How many centuries are there in 0.455737 years?
0.00455737
What is 3/10 of a meter in millimeters?
300
How many years are there in seven halves of a century?
350
What is 42/5 of a centimeter in micrometers?
84000
How many years are there in 11/4 of a millennium?
2750
How many litres are there in 0.8323962 millilitres?
0.0008323962
What is 713.6335 tonnes in micrograms?
713633500000000
What is 86.0618ng in micrograms?
0.0860618
How many micrograms are there in 174840.3t?
174840300000000000
What is twenty-five halves of a decade in years?
125
How many kilograms are there in fifty-three fifths of a tonne?
10600
What is 21/2 of a milligram in micrograms?
10500
How many millennia are there in 0.782373 months?
0.00006519775
What is seventy-two fifths of a decade in years?
144
How many hours are there in 2506.4667 milliseconds?
0.00069624075
What is nineteen quarters of a millennium in months?
57000
What is 88/5 of a litre in millilitres?
17600
What is 8880.659ng in tonnes?
0.000000000008880659
What is six fifths of a microsecond in nanoseconds?
1200
How many minutes are there in 41/6 of a hour?
410
How many nanograms are there in 29/5 of a microgram?
5800
What is 6046.273 decades in years?
60462.73
What is 0.4055226 months in centuries?
0.0003379355
What is 914.2982 kilograms in tonnes?
0.9142982
How many kilograms are there in 27/4 of a tonne?
6750
How many millimeters are there in 15/4 of a meter?
3750
How many micrograms are there in 21/2 of a milligram?
10500
What is eleven eighths of a litre in millilitres?
1375
What is 3/40 of a litre in millilitres?
75
Convert 133520.616us to days.
0.0000015453775
How many millilitres are there in 407337.3 litres?
407337300
Convert 8.70522 kilometers to nanometers.
8705220000000
How many months are there in four thirds of a decade?
160
What is 14949.32 minutes in milliseconds?
896959200
How many decades are there in 162471.75 months?
1353.93125
What is 9295.763mm in micrometers?
9295763
Convert 8862.499 nanoseconds to seconds.
0.000008862499
How many seconds are there in 0.8122504ms?
0.0008122504
Convert 557.0806 millilitres to litres.
0.5570806
What is 18/5 of a litre in millilitres?
3600
What is 791775.9 days in milliseconds?
68409437760000
How many micrograms are there in 4.80702 grams?
4807020
How many nanoseconds are there in 3/32 of a millisecond?
93750
How many micrograms are there in 3/10 of a milligram?
300
What is 8.977537 litres in millilitres?
8977.537
What is 1/64 of a day in seconds?
1350
How many millilitres are there in 21/2 of a litre?
10500
Convert 0.9494573cm to kilometers.
0.000009494573
How many grams are there in 3/8 of a kilogram?
375
What is 6559.422 kilograms in grams?
6559422
What is 45/2 of a decade in years?
225
Convert 7.369449mg to kilograms.
0.000007369449
How many minutes are there in 13442.37 hours?
806542.2
What is twenty-one quarters of a litre in millilitres?
5250
What is 79491.48nm in kilometers?
0.00000007949148
What is 4689.43 litres in millilitres?
4689430
Convert 402.423 kilograms to tonnes.
0.402423
Convert 742.0513 hours to milliseconds.
2671384680
Convert 62.253306 nanoseconds to hours.
0.000000000017292585
How many nanograms are there in 5/8 of a microgram?
625
How many minutes are there in 5/4 of a hour?
75
How many millilitres are there in 1/4 of a litre?
250
Convert 81056.84cm to kilometers.
0.8105684
Convert 542.5852ng to tonnes.
0.0000000000005425852
Convert 3.6268 meters to millimeters.
3626.8
How many nanometers are there in 1/20 of a millimeter?
50000
Convert 13.75516kg to nanograms.
13755160000000
What is 939.6193mg in grams?
0.9396193
What is 1/30 of a day in seconds?
2880
How many meters are there in twenty-one eighths of a kilometer?
2625
Convert 51.83037 litres to millilitres.
51830.37
How many millilitres are there in 9.666326 litres?
9666.326
How many milligrams are there in 31.32572kg?
31325720
What is 41/2 of a litre in millilitres?
20500
How many centimeters are there in 86.1143m?
8611.43
How many millilitres are there in 44/5 of a litre?
8800
How many milligrams are there in one twentieth of a gram?
50
What is 4.790302 milligrams in nanograms?
4790302
How many millilitres are there in fifty-four fifths of a litre?
10800
Convert 307.4323g to kilograms.
0.3074323
What is 0.4782407 centuries in years?
47.82407
How many months are there in six fifths of a decade?
144
Convert 27.13554 millennia to months.
325626.48
How many nanograms are there in 11/4 of a microgram?
2750
Convert 85.69657 days to seconds.
7404183.648
How many centimeters are there in 853.6479um?
0.08536479
What is 155.86932 months in decades?
1.298911
Convert 0.6311456 decades to millennia.
0.006311456
What is 68701.79 millilitres in litres?
68.70179
How many seconds are there in one tenth of a minute?
6
Convert 193.8254us to nanoseconds.
193825.4
What is 1/20 of a kilogram in milligrams?
50000
How many minutes are there in one tenth of a week?
1008
Convert 2.675601 hours to seconds.
9632.1636
What is 7.394823ug in milligrams?
0.007394823
How many centuries are there in 131.07399 months?
0.109228325
How many millimeters are there in 971.609cm?
9716.09
What is 972470.8 litres in millilitres?
972470800
How many milligrams are there in 19/4 of a gram?
4750
How many tonnes are there in 241.2679 nanograms?
0.0000000000002412679
What is 1/24 of a day in minutes?
60
How many millilitres are there in 13/5 of a litre?
2600
How many kilograms are there in 72/5 of a tonne?
14400
How many millilitres are there in thirty-seven fifths of a litre?
7400
How many centuries are there in 3295.036 years?
32.95036
Convert 6027.004 micrometers to centimeters.
0.6027004
Convert 5629.404 kilometers to centimeters.
562940400
How many days are there in 26481902.4s?
306.5035
What is 3/8 of a meter in millimeters?
375
What is 47330.3 micrometers in centimeters?
4.73303
How many nanoseconds are there in thirty-four fifths of a microsecond?
6800
How many microseconds are there in twenty-seven fifths of a millisecond?
5400
What is 39739.27 millilitres in litres?
39.73927
What is 3.523845 millilitres in litres?
0.003523845
How many centimeters are there in 81/2 of a meter?
4050
How many nanograms are there in 3/8 of a microgram?
375
How many millilitres are there in 17/2 of a litre?
8500
What is 5864.1462ns in hours?
0.0000000016289295
How many millilitres are there in 42/5 of a litre?
8400
How many grams are there in 5/8 of a kilogram?
625
What is 87681.89t in kilograms?
87681890
What is 11/8 of a millimeter in micrometers?
1375
What is 11346.132 months in years?
945.511
Convert 849184.3 centuries to years.
84918430
How many centuries are there in 216179.4 millennia?
2161794
What is eleven quarters of a microgram in nanograms?
2750
What is twenty-seven halves of a millennium in decades?
1350
What is one quarter of a millennium in decades
|
{
"pile_set_name": "DM Mathematics"
}
|
the highest common divisor of k and 29?
29
Suppose -4*v - t + 38 = 0, -74*v + 79*v - 4*t = 58. Calculate the highest common divisor of v and 375.
5
Let v = -629 - -639. What is the greatest common factor of 8 and v?
2
Suppose 22 = 4*n + 6. Suppose 5*k + 30 = z, -2*z = -n*z + 3*k + 25. What is the greatest common factor of 85 and z?
5
Let m be (-922)/(-18) - (-8)/(-36). Let g(x) = x**2 + 14*x - 15. Let h be g(-16). What is the highest common factor of m and h?
17
Let d(g) = g**3 + 15*g**2 + 30*g + 16. Let p be d(-13). Let f be (54/24)/((-3)/p). Calculate the greatest common factor of f and 189.
27
Suppose -8*y + 71*y = 14742. What is the highest common factor of 162 and y?
18
Suppose 475*q = 468*q + 1890. What is the greatest common divisor of q and 432?
54
Suppose 10*z = 8*z - h + 148, -5*z + 4*h + 383 = 0. Calculate the greatest common divisor of z and 8025.
75
Let g = -3362 + 3452. Let f(z) = -5*z. Suppose -3*k + 7*k + 8 = 0. Let d be f(k). Calculate the greatest common factor of g and d.
10
Suppose -40 = -i - v, i - 5*v - 101 = -i. Suppose -23*l - 1676 + 4315 = -5273. What is the highest common divisor of i and l?
43
Let x(p) = 9*p**2 + 10*p + 13. Let o be x(-5). Calculate the greatest common divisor of 4606 and o.
94
Suppose -25 = -5*r, -3*b - 5*r - 6 + 19 = 0. Let y be (-510)/b*(4 - 48/30). Calculate the greatest common divisor of 18 and y.
18
Let n be 0 + (-2 + 8 - 3). Let x be (-3 + n)/((-6)/3). Suppose -3*m = -x*m + 5*p + 2, 4*m - p = 5. Calculate the highest common divisor of 2 and m.
1
Let z(c) = 2385*c - 94. Let a be z(2). Calculate the highest common divisor of 28 and a.
28
Let v(z) = 279*z + 11250. Let d be v(-35). What is the greatest common factor of d and 1890?
135
Suppose -141 = -u + 213. Let v be u/(-2) - (3 - 6). Let p = v + 254. Calculate the highest common divisor of 120 and p.
40
Let v(d) = 2*d**2 + 86*d - 71. Let s be v(-46). Calculate the highest common factor of 145 and s.
5
Let n be (21/(-14))/((-2)/188) - 11. Calculate the greatest common factor of 351 and n.
13
Suppose -3*j = -4*j + 103. Suppose 3*b - 6 = 0, 0*b + 91 = -3*d - b. Let u = d + j. Calculate the highest common divisor of 18 and u.
18
Suppose -3*a + 40 + 165 = j, 5*a = 9*j + 331. Suppose -2*s + 4*l + 600 = 0, -2*l + 12 = 2*l. What is the greatest common divisor of s and a?
34
Let r(a) = 111*a**2 - 4*a + 3. Let m be r(1). Suppose 23*p - 26*p = -15. Suppose p*x - 2*c - 142 = 2*x, -2*c = 10. What is the highest common factor of m and x?
22
Let x(j) = 6*j - 36. Let w be x(6). Suppose -3*o + 385 - 151 = w. Suppose u - 44 = -5. Calculate the highest common factor of o and u.
39
Let b be (-1)/(-1) + 5*1. Suppose 5*u + 3*m - 135 = -27, -3*u + 3*m = -36. Calculate the greatest common factor of u and b.
6
Let i(z) = 21*z + 52. Let l(y) = y + 2. Let b(q) = -i(q) + 2*l(q). Let n be b(-9). Calculate the greatest common factor of n and 82.
41
Suppose l + 2*c = 61, 35*c - 36*c - 3 = 0. Calculate the greatest common factor of l and 6767.
67
Let v = 32239 + -28882. Calculate the highest common divisor of 18 and v.
9
Let d be (77/44*15/(-7))/(34/(-136)). What is the greatest common factor of d and 108?
3
Let n be -6 - (-1 + -79) - -8. Suppose 2*g - 3*g + 4*t = -n, 3*g - 237 = 3*t. Calculate the highest common factor of g and 2.
2
Let p = -689 + 698. Let b = -21 - -51. Let k be ((-6)/1)/(-4 + b/p). Calculate the greatest common divisor of k and 3.
3
Suppose -265*p = -2078*p + 18130. Let f(h) = 2*h**3 + h + 1. Let c be f(-1). Let i be 5*(0 + c + 6). What is the highest common factor of i and p?
10
Let t = -228 + 226. Let n be 21 - 5 - 10/t. Let m be ((-2)/6)/((-9)/189). What is the greatest common divisor of m and n?
7
Let s(y) = 55*y + 2563. Let w be s(-40). What is the highest common factor of 1914 and w?
33
Suppose 25 = 6*b + 7. Suppose -5*s + 2*t = -22 + 8, b*t + 4 = -s. What is the highest common divisor of 16 and s?
2
Suppose -5*t = -3*f - 1773, 5*t - 1091 = 2*t - 5*f. Let z be (-6)/(-63) + 680/t. What is the greatest common factor of 34 and z?
2
Let t be (-9)/(-15) + (-2060)/(-25). Suppose 4*x - 79 = -3*d, 6*d - 3*d + 5*x = t. Calculate the highest common divisor of 42 and d.
21
Suppose 3*s = 3*v - 0*v - 12, -11 = 3*s - 2*v. Let y = 8 + s. Suppose 0 = y*w - 5*f - 65, -5*f - 68 = -5*w - f. What is the highest common divisor of w and 2?
2
Let m(i) = 13*i**3 - 6*i**2 + 5*i + 3. Let b be m(3). Let k = -58 - -103. What is the highest common divisor of k and b?
45
Suppose 3*p + 460 = -3*i - 194, -3*p - 654 = 4*i. Let w = 624 + p. What is the greatest common divisor of w and 174?
58
Let n be (40/5 - (190 - -2))*-8. What is the greatest common divisor of n and 851?
23
Suppose -3*u = 3*m + 6, -3*m - 5*u + 50 = -8*m. Let i be (-10)/65 + m/(-13)*139. What is the highest common factor of 48 and i?
16
Suppose -50*p = -28*p - 9526. Let v = p - 375. Let n = -163 + 308. What is the greatest common factor of n and v?
29
Let s = -119 + 118. Let w be 22/s*3/(-6) - -3. Calculate the highest common divisor of 98 and w.
14
Let k = -2534 + 2812. Calculate the greatest common factor of k and 4031.
139
Let c be (387/(-117) - -4)*351. Calculate the greatest common factor of c and 162.
81
Let m(a) be the third derivative of -a**6/120 + 3*a**5/20 - a**4/8 + 8*a**2 + a. Let d be m(8). What is the highest common factor of d and 200?
40
Suppose 3*f = 5*m + 263, -2*f - 2*f + 2*m + 374 = 0. Suppose -87*d + f = -84*d. Calculate the greatest common divisor of d and 12.
4
Let c be 8*(-5)/(-16)*2. Suppose 0 = c*g + 4*b - 50, 4*b = 4*g - 6*g + 32. Calculate the highest common divisor of g and 25.
1
Suppose 0 = 15*q - 5194 + 2899. What is the highest common factor of 17 and q?
17
Suppose -1270*p = -1266*p - 640. What is the greatest common factor of 20 and p?
20
Suppose 76*j - 9*j - l = 32957, 0 = 5*j - 3*l - 2439. Suppose -d + 18 = 2*w + 2*d, -4*w + 4*d = -56. Calculate the highest common factor of j and w.
12
Let v(g) = -9*g**3 + g**2. Let o(c) = -c**3 - 7*c**2 - 10*c - 1. Let b be o(-5). Let u be v(b). What is the greatest common factor of 24 and u?
2
Let b be 5/(105/834) + 16/56. Suppose -2*z + 48 = i, 3*i = z - 3*z + b. What is the greatest common factor of z and 182?
26
Suppose 6*f - 8*f = 0. Suppose 0*x + x - 2*c - 14 = f, 5*x + c = 26. Suppose x*a + 28 = 8*a. What is the greatest common divisor of 42 and a?
14
Suppose -44*o = -38*o - 12. Suppose -2*c + 5*l + 27 = 0, 3 = o*c - c + l. What is the highest common factor of c and 8?
2
Let a = 16 - 0. Let h be 510 + (-8 - (-7 - -1)). Suppose -236 = -2*m + 5*i, -17*m + i + h = -13*m. Calculate the highest common divisor of a and m.
16
Let m = 97 - 63. Suppose 20 = 2*n - 2*f + 4, -4 = n + 5*f. What is the highest common factor of m and n?
2
Let t = -455 - -474. What is the highest common factor of t and 7049?
19
Suppose -8*a = -23*a + 60. Suppose -3100 = -a*p - 27*p. What is the greatest common factor of p and 50?
50
Suppose -3*x + 192 = x. Let t(r) = 8*r + 6. Let f(n) = -2*n + 1. Let l(j) = 8*f(j) - 4*t(j). Let z be l(-1). Calculate the greatest common factor of x and z.
16
Let q(n) = -n**2 - n + 114. Let d be q(10). Suppose -d*h + 87 = h + m, 8 = 4*m. What is the greatest common factor of h and 799?
17
Suppose -15250 + 6260 = -6*w - 2*c, -3025 = -2*w + 5*c. Calculate the greatest common factor of w and 45.
15
Suppose 4*b - f - 8 = 0, -b - b - 6 = -3*f. Suppose -7*d + b*d = 1076. Let s = -181 - d. Calculate the greatest common divisor of s and 8.
8
Let p be (-4692)/(-207)*477/4. Calculate the greatest common factor of p and 51.
51
Let p = -4 + 32. Let a(l) = -l + 1. Let y(f) = -84*f**2 - 6*f. Let r(q) = 3*a(q) - y(q). Let b be r(-1). Calculate the highest common divisor of p and b.
28
Suppose -5*g + 4*x + 292 = 3*x, -4*x - 254 + 306 = 0. Let q = -12 - -317. Calculate the highest common factor of g and q.
61
Suppose 2*j = 2, -15*a + 5*j = -16*a + 13. What is the greatest common factor of a and 14?
2
Let c(h) = 167*h + 221. Let b be c(2). Calculate the highest common divisor of b and 10.
5
Let j = 9578 - 8848. What is the highest common factor of j and 55?
5
Suppose 3*y - 3*g - 3660 = 0, 13*g = -4*y + 9*g + 4880. What is the highest common divisor of 20 and y?
20
Let s be (13 + 0)*-119*(26 - 29). Calculate the greatest common factor of s and 238.
119
L
|
{
"pile_set_name": "DM Mathematics"
}
|
f.
-2
Suppose 3*a = 4*a - 5*j + 455, -4*a + 3*j = 1735. Let n = a - -440. Solve 3*r = f - n, -4*f + 3*r + 17 = -5 for f.
4
Let i = 112 + -94. Let y = i + -12. Solve 2*f + 2*a + 4 = -y, 3*a = -4*f - 18 for f.
-3
Suppose -d + 495 = 5*a, 0 = 3*a + 2*d + 2*d - 280. Let l = -95 + a. Solve l*m - 3*x - 23 = 0, -x = 3*m - m - 7 for m.
4
Suppose -4*y - 9 = 4*l - 37, 0 = -2*y + l + 2. Suppose 5*n - y*s = 5, -2*s - 1 = -2*n - 3. Solve 4*d + 4*p = -p + 13, 17 = -n*d + p for d.
-3
Let j = 67749 + -67747. Suppose 4*k - 31 = 5*i - 2*i, 2*k + 2*i - 26 = 0. Solve 3*d + 8 = 4*d + j*f, -4*f = -d - k for d.
2
Let q(x) = -2026*x - 8099. Let u be q(-4). Solve u*b - 5*y + 5 = 0, -4*b + 106*y - 109*y = 25 for b.
-4
Suppose -674 = 423*c - 969 - 1397. Solve 0 = -s + c*z - 12, 1 = -2*s - 3*z - 1 for s.
-4
Let r(p) = 5*p + 32. Let c be (-11 - 0) + -9 + 17. Let f be r(c). Solve 0 = -5*k + g - f, -4 = -2*g - 0 for k.
-3
Let n = -14 + 17. Suppose -5*l + 29 = -4*r + 4, 2*r - 2*l = -10. Suppose r = -5*w + 5 + 15. Solve n*b = 5*a + 7, -5*a + w - 19 = -5*b for b.
4
Suppose -1663*d + 78 = -1650*d. Solve -9*f - d = 4*z - 4*f, -2*z + 3*f = 14 for z.
-4
Suppose -114*w + 113*w + s = -14, 5*s - 58 = -3*w. Solve 0 = d + 2, w*c + 16 = 11*c + 2*d for c.
-4
Suppose 4*f + 43*f - 141 = 0. Solve -f*b - 5*h + 0 + 9 = 0, 5*b = 5*h - 25 for b.
-2
Let t(u) = u**2 - 29*u + 28. Let f be t(25). Let g = -68 - f. Let j = -18 - -22. Solve y - g*h = h - 22, -j*y - 3*h = -27 for y.
3
Let s be (46/(-10) - 1)*195/(-78). Let q be 3 + 20/(-6) - s/(-6). Solve 2*j + 2*b - q = 0, 2*b + 2*b - 1 = -j for j.
1
Suppose -s = -2*h - 11 - 3, -3*s + 10 = 2*h. Suppose -4*v + 9 = -f + s, 2*f = -6. Solve 10 = 2*u - 0*z + 4*z, v = 5*z - 10 for u.
1
Let m be (-120)/72 - (-44)/12. Solve -30*z = -m*t - 28*z + 8, 0 = -5*t + z + 12 for t.
2
Let r be (1 - 6/4)*0. Let n be 6 + -6 + 6/3. Let q be (-6 + n)/(-1 - r). Solve -h + 2 = 2*j, -3*h = -0*h + q*j - 8 for h.
4
Let j be 9 - (-8 - (3 - (1 + 5))). Solve 5*q = -20, -4*a - 2*q - 6 = j for a.
-3
Let s be (44/(-12) + 1)*(-78)/(-2). Let b = -101 - s. Solve 0 = -3*o + 4*p - 0*p - b, p - 3 = 0 for o.
3
Suppose -86*s + 79*s = 658. Let j be (2/2)/((-47)/s). Let u(v) = -v**3 - 4*v**2 + 7*v - 5. Let c be u(-6). Solve 0*l + c = j*l - 5*m, -l = m - 2 for l.
5
Suppose -121*u + 8714 = 13*u - 3346. Solve 0 = 4*v - 5*q + 8, 91*v - u*v + 5*q - 23 = 0 for v.
3
Let z(f) = f**2 + 111*f + 635. Let k be z(-6). Solve 4*m + 5*g = -k, 3*m + 121*g + 18 = 122*g for m.
-5
Let c(h) = -5*h + 18. Let r(d) = -5*d + 16. Let j(z) = 6*c(z) - 5*r(z). Let p be j(5). Solve 0 = p*s - 5*o + 7, o - 2 - 1 = -s for s.
1
Let v(z) = 109*z + 2003. Let m be v(-18). Solve -2*o + 44*d - 7 = m*d, -3*d + 14 = 5*o for o.
1
Let i = -191 - -193. Suppose i*z - 3*w = -w + 4, -4*w = -8. Solve 0 = 5*h - g + 10, z*h + 2 = 3*h + 5*g for h.
-2
Let j(n) = 5*n - 5. Let k be j(2). Suppose -3*o = 5*c - 22, k = -2*o + 13. Let f = c + 0. Solve 3*l + y - 7 = 0, f*l = -l - 2*y + 5 for l.
3
Suppose -3 = -l + 1, 284 = 4*k - 4*l. Let s = 77 - k. Let y be (0 - -1)*(s + 0 + -2). Solve 15 = -3*c + 3*u, y = 5*u - 3 - 2 for c.
-4
Suppose -193*r + 336 = -436. Solve -r = -m + 2*n, 0 = -2*m - 21*n + 18*n - 13 for m.
-2
Let m = -4 - -5. Suppose -5*c + 65 = 5*g, 2*g - 5*c = 6 + 13. Let x be g/m*9/6. Solve -3*r = -3*t - x, -3 = 5*t + 3*r + 3 for t.
-3
Suppose -142*g + 134*g = 136. Let o be 177/7 - 28/(-1666)*g. Solve 2*b - 7*b - 5 = -a, 2*b - o = -5*a for b.
0
Let k be (-47 + -3)*3/2. Let j = k - -77. Suppose 0*s = j*s - 6. Solve 3*d = a - 19, s*d - 15 = -5*a + 2*d for a.
4
Let s be 2/6 + (-103)/309. Solve s = 10*c - 13*c - 5*w + 17, 15 = 4*c - w for c.
4
Suppose 2*c - 2*d - 13 + 5 = 0, 5*c = -5*d - 20. Let x(m) = 2*m**2 - 2*m - 3. Let n be x(3). Let o = n + c. Solve -g - o = -v, 0*v - v = -4 for g.
-5
Let v be ((-2)/8)/(10/568)*-5. Let m = v + -24. Let l = -45 + m. Solve -l*f - 15 = 5*a, -2*f + 12 = -4*a - 3*f for a.
-3
Let r = 238 + -258. Let s(p) = -2*p**3 - 41*p**2 - 20*p + 5. Let g be s(r). Solve g*w = -3*l - 23, -3*w - 9 + 0 = -3*l for w.
-4
Let v = -186 + 191. Suppose 4*d + v*a - 32 = 3*a, -3*d = a - 22. Solve 0 = 2*z, -d = -2*f + 3*z - 4*z for f.
3
Suppose 73*g + 92*g = 990. Solve -2*q - 12 = 4*j, -2*q = 5*j - g*q - 11 for j.
-1
Suppose 339 - 105 = 117*v. Solve 3*w - 4*r + 68 = 63, -v*r - 2 = 0 for w.
-3
Let g be 4 + (4 + 91)/5. Let r(c) = 11*c**2 + 3*c**2 + 10*c**2 - 27 + 4*c - g*c**2. Let q be r(4). Solve -11 = q*o - 4*m, -4*m = -1 + 5 for o.
-3
Let y be ((-6)/(-11 + 14))/(-1). Solve 0 = -4*j + y*j + 6, -j + 3 = -k for k.
0
Let t = 8097 - 8093. Solve -4*x = 2*h - 4, -h - t*x + 9 = 1 for h.
-4
Suppose 458 = 13*p + 250. Solve 3*u - i = -7, 2*u - p = 6*u + 2*i for u.
-3
Let l be (0/(12/(-4)))/(-3)*(-500)/(-4000). Suppose h - 3*b - 2 = 3*h, 0 = 4*h + 3*b - 2. Solve -7*r + 5*f - 40 = -h*r, l = 5*r - 4*f + 35 for r.
-3
Let r = 16 + -13. Suppose 2*m + m = -3*v, -r = -5*v - 2*m. Let l be 28/16 - v/(-4). Solve 4*t - 6 = 5*t - 2*h, 0 = t + l*h - 6 for t.
0
Let s = 1017 + -1016. Solve a - 7 = 3*p, 5*a + s = 8*p - 5*p for p.
-3
Suppose -2*r + 362 = 358. Suppose -r*p - p = -p. Solve q - 2*l + l = p, -3*l = q + 12 for q.
-3
Suppose 0 = 6*t - 2*t - 48. Let r(f) = f**2 - 21*f + 4. Let d be r(21). Suppose 8 + 20 = 2*a. Solve -m + t = 2*n + m, -n = -d*m + a for n.
2
Suppose 108 = 4*p + c - 27, 2*p + 4*c = 50. Solve 2*x + 15*f - 13*f + 18 = 0, -3*x - 5*f = p for x.
-5
Let q(z) = -z**3 - 9*z**2 - 17*z - 14. Let o be q(-6). Let l = o + 24. Solve 3*f + 6 = -3*d - 12, l*d = -16 for f.
-2
Let m(p) = p**3 - 16*p**2 + 8*p - 20. Let c be m(16). Suppose -c*z - 51 = -125*z. Solve -3*g + 6 = -z*h, 2*h - g = -0*g - 2 for h.
0
Let t(k) = 443*k + 3. Let n be t(0). Solve 4*m + n*d - 12 = -0*m, 4*m + 5*d = 12 for m.
3
Let m(k) = k**3 + 21*k**2 - 67*k - 6. Let z be m(3). Solve 0 = -z*d + 4*d + x + 20, 2*x = 0 for d.
4
Suppose 15*y - 19*y + 12 = -2*v, -3*y = -3*v - 9. Solve -6 = -g + r, -y*r = 5*g - 2*g + 12 for g.
1
Let p be (4/6)/((-4)/(-12)). Let g be (192/(-18))/(-8)*(-84)/(-8). Let w be 9/3 + (0 - 0). Solve -7*n - 2*z = -p*n - 23, g = w*n + z for n.
5
Suppose 12 = 3*b + 21*w - 23*w, -12 = 4*w. Solve b*j - n + 6*n = 26, -3*j = -2*n - 1 for j.
3
Suppose 2232 - 510 = 14*y. Let k = 125 - y. Solve 1 = -a + 2*z - 1, 0 = k*z + 2 for a.
-4
Let a = -361 + 359. Let l be 5/a*(13 + 11)/(-12). Let i = -5 + 30. Solve -3*s + 4*x = -7*s - 36, s = -l*x - i for s.
-5
Suppose 0 = 5*j + 609 + 741. Let w be j/36*(-4)/(-5). Let g be 12/10*(-10)/w. Solve -h = -2*k + k + 1, -g*h = 8 for k.
-3
Let n(h) = -43*h + 421. Let v be n(9). Solve d + 22 = 5*f, -3*d + v*f - 31*f = 18 for d.
-2
Suppose 174*v - 442 = 293 + 135. Solve -4*t - 8 = -2*u - 26, 2*u + 21 = v*t for t.
3
Suppose -3*h + q + 16 = 0, -4*h + 23 = -4*q + q. Suppose -h*k - 171 = o, -k - o - 66 = k. Let j = k + 37. Solve -20 = 4*b - j*x, 8*b - 4*x = 4*b - 20 for b.
-5
Suppose 0 = 4*a - 12, -a + 35 + 312 = -4*y. Let q be 3120/35 + -3 - 2/14. Let d = q + y. Solve r + 4*t = -1 + 3, -3*t = d for r.
2
Suppose 0 = -2*m - 2*g + 48, 5*m - 8*m + g + 88 = 0. Suppose -m = -2*b - 2*q - 12, 3*q + 60 = 4*b. Solve -2*p - 25 = l - 7*p, b = -4*l - 2*p for l.
-5
Suppose 696*d - 338*d - 347*d - 66 = 0. Solve 5 = 5*t + 5*i, 2*i = -d*t + 3*t + 1 for t.
-1
Let j(q) = -53*q**2 + 634*q + 25. Let u be j(12). Let c be (2/(-6))/(-5 + 88/18). Solve 0 = -c*m - 6, -4*m + u = -3*b - 0*m for b.
-3
Let c(r) = -r**2 - 90*r - 2001. Let d be c(-41). Solve -3*s - 3*o - 1 - d = 0, -7 = s + 2*o for s.
1
Let v be (1 - 4) + -1 + 17 + 0. Suppose 4*w - 2*o = 10, 5*o = 18*w - v*w - 10. Let i = 11 + -7. Solve x + i = -s, w*s - 5*x = 5 + 7 for s.
-1
Let f = -168 - -171. Suppose f*s - 4*b = 32, 3*s + 4*b - 1 = -9. Solve 4 = 5*v - j - 8, -s*v = 5*j + 2 for v.
2
Suppose -484*s + 496 = -488*s. Let d = -124 - s. Solve -z + 3 = -u + 7, -z - 4*u + 21 = d for z.
1
Suppose -231*x + 2 = -230*x. Suppose 4*b + 3*p - 8 = 7, 5*p - 5 = 0. Let l be (12 + -3)/b + 0. Solve x*j - j = v + 1, -5*j + 7 = -l*v for v.
1
Let p be 10/1*1*3/6. Suppose 3*h = 2*v + 7*h - 26, 2*h = p*v - 17. Let s be (-6)/v*(-170)/51. Solve x - s*q + 9 = 0, -3 = -3*x + 4*q - 14 for x.
-1
Let f = 11095 - 11095. Solve -5*p + 2*r + 10 = f, 5*r + 22 = -4*p + 30 for p.
2
Suppose 9*o = 6*o + 18. Let w(h) = -3*h**2 + 13*h + 12. Let z be w(5)
|
{
"pile_set_name": "DM Mathematics"
}
|
01 PM?
709
How many minutes are there between 10:31 AM and 1:07 PM?
156
How many minutes are there between 9:47 PM and 5:58 AM?
491
How many minutes are there between 12:16 PM and 9:15 PM?
539
What is 680 minutes after 3:10 AM?
2:30 PM
What is 405 minutes before 6:00 AM?
11:15 PM
What is 6 minutes after 12:47 PM?
12:53 PM
What is 675 minutes after 9:56 PM?
9:11 AM
How many minutes are there between 1:18 AM and 10:37 AM?
559
How many minutes are there between 5:08 AM and 1:21 PM?
493
What is 525 minutes before 8:13 AM?
11:28 PM
What is 153 minutes after 5:31 PM?
8:04 PM
How many minutes are there between 11:23 AM and 11:27 AM?
4
What is 681 minutes before 11:50 AM?
12:29 AM
How many minutes are there between 3:57 AM and 10:37 AM?
400
How many minutes are there between 5:52 AM and 12:05 PM?
373
What is 317 minutes after 8:37 PM?
1:54 AM
How many minutes are there between 12:15 PM and 12:35 PM?
20
What is 584 minutes before 6:11 AM?
8:27 PM
What is 549 minutes before 8:06 AM?
10:57 PM
What is 530 minutes before 5:13 AM?
8:23 PM
How many minutes are there between 8:10 AM and 7:28 PM?
678
What is 491 minutes after 5:50 PM?
2:01 AM
What is 472 minutes after 9:56 AM?
5:48 PM
What is 689 minutes before 10:53 PM?
11:24 AM
How many minutes are there between 8:58 PM and 1:02 AM?
244
What is 166 minutes before 2:11 PM?
11:25 AM
What is 170 minutes after 8:13 AM?
11:03 AM
How many minutes are there between 10:54 AM and 10:37 PM?
703
How many minutes are there between 10:08 AM and 7:20 PM?
552
What is 313 minutes before 8:59 AM?
3:46 AM
How many minutes are there between 8:12 PM and 7:32 AM?
680
What is 552 minutes before 12:13 PM?
3:01 AM
What is 692 minutes after 4:09 AM?
3:41 PM
How many minutes are there between 11:35 AM and 5:02 PM?
327
What is 564 minutes after 6:01 AM?
3:25 PM
What is 473 minutes after 8:54 PM?
4:47 AM
What is 155 minutes after 4:55 PM?
7:30 PM
What is 191 minutes after 8:40 PM?
11:51 PM
How many minutes are there between 6:02 PM and 5:11 AM?
669
What is 41 minutes before 12:42 AM?
12:01 AM
What is 376 minutes after 1:23 AM?
7:39 AM
What is 508 minutes before 12:07 PM?
3:39 AM
How many minutes are there between 5:34 AM and 7:41 AM?
127
What is 35 minutes after 3:49 AM?
4:24 AM
What is 136 minutes after 1:12 PM?
3:28 PM
What is 432 minutes after 9:58 PM?
5:10 AM
What is 298 minutes before 3:47 AM?
10:49 PM
How many minutes are there between 7:47 PM and 5:25 AM?
578
What is 92 minutes after 2:19 AM?
3:51 AM
What is 691 minutes after 4:08 PM?
3:39 AM
How many minutes are there between 12:30 AM and 11:37 AM?
667
How many minutes are there between 11:50 PM and 5:45 AM?
355
What is 137 minutes before 5:57 PM?
3:40 PM
How many minutes are there between 10:17 AM and 10:02 PM?
705
What is 660 minutes after 3:19 AM?
2:19 PM
How many minutes are there between 7:52 AM and 5:16 PM?
564
How many minutes are there between 7:05 PM and 12:27 AM?
322
How many minutes are there between 6:47 AM and 2:39 PM?
472
How many minutes are there between 6:47 PM and 11:47 PM?
300
How many minutes are there between 11:26 PM and 10:23 AM?
657
What is 504 minutes after 4:55 AM?
1:19 PM
How many minutes are there between 9:00 AM and 2:44 PM?
344
What is 525 minutes after 7:24 AM?
4:09 PM
How many minutes are there between 8:17 PM and 2:23 AM?
366
How many minutes are there between 5:26 AM and 10:09 AM?
283
What is 209 minutes after 7:06 PM?
10:35 PM
What is 155 minutes before 11:04 PM?
8:29 PM
How many minutes are there between 2:21 AM and 3:49 AM?
88
How many minutes are there between 1:56 AM and 4:15 AM?
139
What is 385 minutes before 11:14 AM?
4:49 AM
What is 538 minutes before 2:33 PM?
5:35 AM
How many minutes are there between 9:43 PM and 9:01 AM?
678
What is 428 minutes before 5:27 AM?
10:19 PM
What is 644 minutes after 2:51 PM?
1:35 AM
How many minutes are there between 11:41 AM and 5:35 PM?
354
How many minutes are there between 9:10 AM and 1:01 PM?
231
How many minutes are there between 7:05 PM and 7:17 PM?
12
What is 246 minutes after 2:10 AM?
6:16 AM
What is 89 minutes before 8:15 PM?
6:46 PM
What is 128 minutes before 12:46 PM?
10:38 AM
What is 682 minutes before 6:49 PM?
7:27 AM
How many minutes are there between 9:09 AM and 5:57 PM?
528
How many minutes are there between 9:04 PM and 10:40 PM?
96
What is 318 minutes after 4:35 PM?
9:53 PM
How many minutes are there between 7:45 PM and 9:28 PM?
103
What is 582 minutes after 7:30 AM?
5:12 PM
How many minutes are there between 8:14 AM and 7:35 PM?
681
What is 457 minutes before 2:35 AM?
6:58 PM
What is 714 minutes after 8:46 AM?
8:40 PM
How many minutes are there between 12:13 AM and 8:50 AM?
517
How many minutes are there between 1:40 AM and 7:17 AM?
337
What is 289 minutes before 1:29 PM?
8:40 AM
What is 136 minutes before 10:09 PM?
7:53 PM
How many minutes are there between 12:10 AM and 9:19 AM?
549
How many minutes are there between 9:56 PM and 8:12 AM?
616
What is 583 minutes before 4:48 AM?
7:05 PM
What is 624 minutes before 4:28 AM?
6:04 PM
How many minutes are there between 4:58 PM and 2:53 AM?
595
What is 374 minutes after 4:28 PM?
10:42 PM
What is 507 minutes after 1:29 AM?
9:56 AM
What is 592 minutes after 3:38 PM?
1:30 AM
What is 41 minutes after 3:16 PM?
3:57 PM
How many minutes are there between 1:25 PM and 12:08 AM?
643
How many minutes are there between 1:52 AM and 2:42 AM?
50
How many minutes are there between 2:06 AM and 11:19 AM?
553
How many minutes are there between 9:49 PM and 4:43 AM?
414
How many minutes are there between 2:44 PM and 7:40 PM?
296
What is 92 minutes after 5:04 AM?
6:36 AM
How many minutes are there between 12:39 PM and 2:15 PM?
96
How many minutes are there between 10:19 AM and 4:53 PM?
394
How many minutes are there between 3:47 PM and 6:03 PM?
136
What is 50 minutes after 11:25 AM?
12:15 PM
What is 372 minutes after 6:54 PM?
1:06 AM
What is 714 minutes after 8:57 PM?
8:51 AM
How many minutes are there between 11:10 PM and 8:17 AM?
547
What is 560 minutes before 1:56 AM?
4:36 PM
How many minutes are there between 12:50 PM and 1:34 PM?
44
How many minutes are there between 5:21 PM and 12:57 AM?
456
How many minutes are there between 7:58 AM and 2:43 PM?
405
What is 669 minutes before 3:29 AM?
4:20 PM
How many minutes are there between 9:27 AM and 11:08 AM?
101
What is 420 minutes after 7:41 AM?
2:41 PM
What is 296 minutes before 9:47 PM?
4:51 PM
What is 132 minutes after 4:08 AM?
6:20 AM
What is 595 minutes after 10:31 PM?
8:26 AM
What is 429 minutes before 6:44 PM?
11:35 AM
What is 596 minutes before 2:53 AM?
4:57 PM
How many minutes are there between 8:16 PM and 8:41 PM?
25
What is 693 minutes after 2:11 AM?
1:44 PM
How many minutes are there between 4:08 PM and 8:21 PM?
253
What is 366 minutes before 3:54 AM?
9:48 PM
What is 520 minutes after 4:31 PM?
1:11 AM
How many minutes are there between 4:48 PM and 4:08 AM?
680
What is 250 minutes before 4:28 AM?
12:18 AM
What is 277 minutes after 1:25 AM?
6:02 AM
What is 52 minutes before 9:18 AM?
8:26 AM
What is 120 minutes after 10:13 AM?
12:13 PM
What is 588 minutes before 6:01 PM?
8:13 AM
How many minutes are there between 3:14 AM and 10:02 AM?
408
How many minutes are there between 8:03 AM and 7:08 PM?
665
How many minutes are there between 5:17 PM and 10:13 PM?
296
How many minutes are there between 11:15 AM and 12:45 PM?
90
What is 463 minutes after 9:01 AM?
4:44 PM
What is 332 minutes after 5:27 AM?
10:59 AM
What is 520 minutes before 8:52 AM?
12:12 AM
What is 586 minutes after 4:20 PM?
2:06 AM
What is 237 minutes after 2:19 AM?
6:16 AM
What is 322 minutes after 11:47 PM?
5:09 AM
What is 559 minutes before 1:33 PM?
4:14 AM
What is 690 minutes before 2:24 AM?
2:54 PM
How many minutes are there between 1:12 AM and 3:18 AM?
126
How many minutes are there between 5:00 AM and 12:48 PM?
468
How many minutes are there between 3:53 AM and 3:52 PM?
719
What is 127 minutes before 8:26 PM?
6:19 PM
How many minutes are there between 4:16 AM and 7:27 AM?
191
How many minutes are there between 12:27 PM and 4:31 PM?
244
How many minutes are there between 3:21 PM and 1:30 AM?
609
How many minutes are there between 9:05 PM and 7:01 AM?
596
How many minutes are there between 4:55 AM and 1:29 PM?
514
How many minutes are there b
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 3 + -2 + sqrt(117)/sqrt(9)))**2.
52
Simplify -4*((sqrt(252) + -5 - sqrt(252)) + -5 + sqrt(252))*4.
-96*sqrt(7) + 160
Simplify -4 + (sqrt(20)/sqrt(5))/sqrt(2) + (sqrt(18) + sqrt(18) + -1 - (-1*sqrt(2) + -1)**2).
-8 + 5*sqrt(2)
Simplify -4 + (-3 + sqrt(567))**2 + sqrt(1008) + 2.
-42*sqrt(7) + 574
Simplify -2*(-5 + (3*(sqrt(637)*-1 + sqrt(637)))**2 + (sqrt(637) - (5 + sqrt(637)*-2)**2)).
-294*sqrt(13) + 5156
Simplify ((sqrt(102) + (sqrt(102)*-1 - sqrt(102)) + sqrt(102))*4)/(3*sqrt(294)).
0
Simplify 1*(0 + (-1 + sqrt(252) - (sqrt(28)*-1 + sqrt(28))/sqrt(4)))**2.
-12*sqrt(7) + 253
Simplify ((sqrt(91) + -2*sqrt(91) + sqrt(91))*6 - (2*sqrt(91)*2 - sqrt(91)))/(-1*sqrt(112)*-2).
-3*sqrt(13)/8
Simplify (1*((1 + -1 + sqrt(325) - sqrt(325)) + sqrt(325) + (sqrt(325) + (sqrt(325) + (sqrt(325) - (sqrt(325)*2 + 3)) - sqrt(325)) - sqrt(325))))**2.
9
Simplify (-2*(sqrt(144) + sqrt(144) + sqrt(144) + sqrt(144)*-2))/(sqrt(12) - (sqrt(12) + 2*sqrt(192))).
sqrt(3)/2
Simplify (-4 + (sqrt(48)/(2*sqrt(4)) - (sqrt(12) + sqrt(1728) + 2 + sqrt(12))))**2.
324*sqrt(3) + 2223
Simplify -6*sqrt(1584)*1*-4 + -3*sqrt(33)/(sqrt(3)*-2)*-4.
282*sqrt(11)
Simplify sqrt(187)/(sqrt(99) - sqrt(11)) + -2 - 5*sqrt(425)*-5.
-2 + 251*sqrt(17)/2
Simplify ((sqrt(54)*1)/sqrt(9))/sqrt(3) - ((1 + sqrt(32))**2*-3 + sqrt(32)).
21*sqrt(2) + 99
Simplify -6*(sqrt(77)/(sqrt(35)/(sqrt(5) + sqrt(20)/sqrt(4))) + -3).
-12*sqrt(11) + 18
Simplify (sqrt(192)*1*-5 - (sqrt(192) + (sqrt(192)*-1*2)**2)) + ((2 + sqrt(192) + 1 + sqrt(192))**2 - (0 + sqrt(192) + 0)**2).
-183 + 48*sqrt(3)
Simplify 0 + (-5*(3 + sqrt(2)) - sqrt(2) - (-5*sqrt(14))/sqrt(7)).
-15 - sqrt(2)
Simplify (-6*(sqrt(176) + 2))**2 - 3*(sqrt(176) - -2*sqrt(176)).
540*sqrt(11) + 6480
Simplify (0 + 3*(2 + -3*sqrt(343) - (-3 + 3*sqrt(343) + sqrt(343) - sqrt(343))))**2.
-3780*sqrt(7) + 111357
Simplify (-4*(0 + sqrt(68)) - (sqrt(68) + 0)*5)**2.
5508
Simplify -2 + 3 + (((sqrt(3888) - (0 + sqrt(3888))) + sqrt(3888) + -1)*1)**2.
-72*sqrt(3) + 3890
Simplify sqrt(3)*4 + 0 + 3 + (3 + sqrt(3) + -3)**2 + 5.
4*sqrt(3) + 11
Simplify 1 + (-4 + (sqrt(56)*5)/sqrt(2))*3.
-11 + 30*sqrt(7)
Simplify (-2*3*sqrt(19) + -2 + 4 + 4*sqrt(76))**2.
8*sqrt(19) + 80
Simplify 2*(0 + (5 + 1*sqrt(147))**2 + 1 + 2*sqrt(147)) + 4.
168*sqrt(3) + 350
Simplify (-6*(sqrt(1100) - (sqrt(1100)*4)**2) - (sqrt(1100)*-1*-1)**2)*-4.
-418000 + 240*sqrt(11)
Simplify ((sqrt(110) + sqrt(110)*2)/sqrt(10) + 2)**2 + (sqrt(99)/sqrt(3) - sqrt(33))/sqrt(3)*-4.
12*sqrt(11) + 103
Simplify -2 + ((-3 + (sqrt(192) - (-1 + sqrt(192))))*-4 + 4)**2.
142
Simplify (sqrt(132)*3 - sqrt(33))/(-1*sqrt(891)).
-5*sqrt(3)/9
Simplify 2*(sqrt(2160) + 2*sqrt(2160))/(sqrt(384)/sqrt(8)).
18*sqrt(5)
Simplify -6*(-4*(sqrt(1377) + sqrt(1377)*-3))**2*5 + 3 + 0.
-2643837
Simplify 5 + (((sqrt(343)*1 + sqrt(343))*4)**2 - sqrt(343) - ((sqrt(343) - 3*sqrt(343)) + -3)).
7*sqrt(7) + 21960
Simplify ((sqrt(833) - (2 + sqrt(833)*1 + sqrt(833))) + (0 + sqrt(833) + 4)**2)*-4.
-3388 - 196*sqrt(17)
Simplify (6*sqrt(540)/(-3*sqrt(9)))/(sqrt(96)/(sqrt(800) + sqrt(800) + (sqrt(800) - 1*sqrt(800)))).
-40*sqrt(5)
Simplify 4 + (1 + sqrt(300)*-1*-6)**2.
120*sqrt(3) + 10805
Simplify -6*(sqrt(2304) + (sqrt(2304) + (1*sqrt(2304) - sqrt(2304)))*6 + sqrt(2304))/((sqrt(12) + -2*sqrt(1728))*-4).
-96*sqrt(3)/23
Simplify -3*-5*(sqrt(108)*2 + 1*sqrt(3) + 2).
30 + 195*sqrt(3)
Simplify (4*(-1 + sqrt(363))*1)**2 + (sqrt(588)*-2)/(sqrt(4)*1*5).
-1774*sqrt(3)/5 + 5824
Simplify (5*sqrt(432)*-4 + sqrt(432) + (sqrt(432)*2*4)**2)*5.
-1140*sqrt(3) + 138240
Simplify (-2 + sqrt(48) + -1 - (-4 + sqrt(9)/sqrt(3)*-4 + sqrt(3)))**2.
14*sqrt(3) + 148
Simplify 1*(3*sqrt(3)*-2 - (sqrt(48) + (sqrt(48) - (-2 + sqrt(48)) - sqrt(48))))*4.
-24*sqrt(3) - 8
Simplify ((-3*(sqrt(152)*-5 + sqrt(152)))/(sqrt(48)/(sqrt(6) + sqrt(6)*2)))**2.
24624
Simplify -1*sqrt(432)*1 + ((2 + sqrt(363))**2 - ((sqrt(3) + 2 - sqrt(3)) + 3)).
32*sqrt(3) + 362
Simplify -4*(sqrt(5) + sqrt(5) + -1) - (5 + sqrt(20)/sqrt(4) + sqrt(5)) - ((-2 + sqrt(80) - sqrt(5)) + sqrt(15)/(1*sqrt(3))).
-14*sqrt(5) + 1
Simplify ((-1*3*sqrt(65) - sqrt(65))/(sqrt(45)/(sqrt(54)/sqrt(6))))**2*-2.
-416
Simplify (sqrt(27) + sqrt(3))*6 - (sqrt(48)*-6)**2 - ((sqrt(3) - (sqrt(300) + -1 + sqrt(300)))**2 - (sqrt(432) + 0)**2).
-2380 + 62*sqrt(3)
Simplify 2 + sqrt(5) + 3 - (sqrt(5) + -2 + 1 + sqrt(5)) - (6*(-1 + sqrt(5)) + (sqrt(5) - (sqrt(220)/sqrt(4))/sqrt(11))).
-7*sqrt(5) + 12
Simplify 5*(6*(0 + (sqrt(12) + 1)*-6 + sqrt(12) + 2*sqrt(12)*-5))**2.
64800*sqrt(3) + 492480
Simplify 3 + ((-2*sqrt(33))/sqrt(11) - ((sqrt(3) - sqrt(3)*-2) + 4)) + 2.
-5*sqrt(3) + 1
Simplify ((sqrt(170) - 2*sqrt(170))*1 + ((sqrt(170) + 1*sqrt(170))*2 - sqrt(170)))/(2*((2*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(360))).
sqrt(17)/6
Simplify sqrt(171)/(sqrt(27)/sqrt(3)) + 0 + sqrt(152)/(sqrt(8)*1*3 + sqrt(8)).
5*sqrt(19)/4
Simplify ((sqrt(65) - -4*4*sqrt(65) - sqrt(65))/(sqrt(10)/(-3*sqrt(2) + sqrt(2)))*-6)**2 + 0.
479232
Simplify (1*sqrt(288) - 4*(sqrt(2) + 2))**2 + 2 + (sqrt(24)/(-2*sqrt(12)*-1))**2.
-128*sqrt(2) + 389/2
Simplify (sqrt(136)*-2*5 + sqrt(136))/(-2*sqrt(648)).
sqrt(17)/2
Simplify (sqrt(1377) + (0 + sqrt(1377) - sqrt(1377)))*-1 + sqrt(1377) + 0 + -4 + 1.
-3
Simplify ((sqrt(3) + -1)*-4 + sqrt(12) + sqrt(192) + (sqrt(3) - (sqrt(3) - sqrt(54)/sqrt(2))) + sqrt(3) + -1)**2.
60*sqrt(3) + 309
Simplify (-1 + (6*(sqrt(96)*-2)/sqrt(3))**2)*3.
13821
Simplify (sqrt(504)/(sqrt(1296)*-2))/(sqrt(1152) + (sqrt(1152) + sqrt(1152) + 1*sqrt(1152)*-4 - sqrt(1152) - sqrt(1152))).
sqrt(7)/864
Simplify 3*sqrt(343) + 3 - (2 + (-2 + 1*sqrt(7))**2).
-10 + 25*sqrt(7)
Simplify ((sqrt(132)/(sqrt(60)/sqrt(5)) + -3)*5*-2)**2.
-600*sqrt(11) + 2000
Simplify ((sqrt(200) + 2 + (sqrt(200) - -3*sqrt(200)) - -6*-4*sqrt(200))*5)**2.
-19000*sqrt(2) + 1805100
Simplify 3*(sqrt(448) + 3 + sqrt(7)) - ((3*sqrt(126))/sqrt(2))**2.
-558 + 27*sqrt(7)
Simplify ((sqrt(154)/sqrt(28))/(sqrt(18)*2) + -4)**2.
-2*sqrt(11)/3 + 2315/144
Simplify (-3*(sqrt(192) + sqrt(48) + sqrt(48))*-1)**2 + -2*sqrt(300)*-3 + (sqrt(300) + -1 + sqrt(300))**2*-1.
100*sqrt(3) + 5711
Simplify -5 + (sqrt(55) + sqrt(3520)*3)/(sqrt(50)/(sqrt(10) + sqrt(90))) + 4.
-1 + 100*sqrt(11)
Simplify -5*sqrt(1539)*1*-4 - (4 + sqrt(171) + -1)*-6.
18 + 198*sqrt(19)
Simplify -1*(4 + (1 + sqrt(1539))**2)*-2 + 1.
36*sqrt(19) + 3089
Simplify 5*((4*sqrt(110)/sqrt(5))/(1*sqrt(162)) + 4).
20*sqrt(11)/9 + 20
Simplify (-2 + sqrt(176) + -1 + -3*(4 + sqrt(176)) + 0)**2.
240*sqrt(11) + 929
Simplify -5 + (sqrt(128) - (-5 + sqrt(128) + (sqrt(128) - sqrt(128)*1) - sqrt(128)))**2 + sqrt(128)*1*6 + 4.
152 + 128*sqrt(2)
Simplify ((1*sqrt(4719))/sqrt(3))**2 - (1*sqrt(156)*1)/sqrt(12).
-sqrt(13) + 1573
Simplify 3*((sqrt(832)*-1)/sqrt(4) - sqrt(156)/(sqrt(120)/(2*sqrt(10) - sqrt(10))))**2.
975
Simplify 3*(-3 + (sqrt(3267) + sqrt(3267) + (sqrt(3267) - (sqrt(3267) + sqrt(3267)*1) - sqrt(3267)))/(sqrt(900)*1)).
-9
Simplify (sqrt(539) - ((2 + sqrt(539))*-6 - sqrt(539)))**2 - ((2*sqrt(44))/sqrt(4))**2*-2.
1344*sqrt(11) + 34728
Simplify ((1*sqrt(70) - sqrt(70))*-4 - -5*(sqrt(70) + (sqrt(70) - -2*sqrt(70) - sqrt(70))))/(sqrt(1440)*3*3 + sqrt(1440)).
sqrt(7)/8
Simplify -5 + 1 + (3*((sqrt(42)/sqrt(6))**2 + sqrt(7)) + sqrt(63)/(3*sqrt(9)))*3.
10*sqrt(7) + 59
Simplify (6*(sqrt(48) + 0)*-1 + sqrt(576)/(sqrt(24)/sqrt(2)) + -3)**2.
120*sqrt(3) + 1209
Simplify 5 + (-2*(2 + sqrt(7)) - (-1*sqrt(7) + sqrt(7))*-6 - (0 + sqrt(7) + -3 + -2)**2).
-31 + 8*sqrt(7)
Simplify (sqrt(220)/(sqrt(10) - 3*sqrt(10)*-5))/(sqrt(2)*2*-2 + (sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2))*-1).
-sqrt(11)/112
Simplify ((sqrt(24) + sqrt(24)*1 - sqrt(24))*-3 + sqrt(24) + (sqrt(168)*-2)/sqrt(7))/((sqrt(540)/(sqrt(18)/sqrt(2)))/sqrt(5))*-2.
8*sqrt(2)
Simplify -4 + 1 + -1 + sqrt(847) + sqrt(847) + sqrt(847) + (sqrt(847) - (0 + sqrt(847) + -5)) + 3.
4 + 33*sqrt(7)
Simplify -1 + 4 + sqrt(30)/((sqrt(6) + sqrt(96) + sqrt(6))*6) + -1*(2*sqrt(405) - sqrt(5)).
-611*sqrt(5)/36 + 3
Simplify (sqrt(136) + 5*((sqrt(136)*-2 - sqrt(136)) + sqrt(136)) - sqrt(136) - sqrt(136))/((sqrt(392)/sqrt(7))/sqrt(7)).
-11*sqrt(17)
Simplify ((sqrt(3078)*-1*3 - sqrt(3078))/((sqrt(18) + ((sqrt(18) + sqrt(450))*-1 - sqrt(18)))/sqrt(9)))**2.
684
Simplify (sqrt(19) + -1 + sqrt(19) + -5 + -2)**2 + sqrt(38)/(sqrt(2)*-2) + (sqrt(475) + 0 + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-43*sqrt(17)
Simplify -2*2*sqrt(99) + -2 + sqrt(1331)*1 + 5.
-sqrt(11) + 3
Simplify (-1 + sqrt(343) + -1 - (0 + sqrt(252) + 0 + sqrt(252)))*-6.
12 + 30*sqrt(7)
Simplify -2*(-4*(5 + sqrt(75))*-6*-4)**2.
-1843200 - 921600*sqrt(3)
Simplify (2*sqrt(4320) - sqrt(4320))/(sqrt(360) + (sqrt(360) - sqrt(360)*-2 - sqrt(360) - sqrt(360) - sqrt(360)))*4.
8*sqrt(3)
Simplify ((sqrt(84)/(sqrt(24)/sqrt(2)) + (sqrt(77) - (2*sqrt(77) - sqrt(77)))/sqrt(11))**2 - (-2 + sqrt(42)/(sqrt(18)/sqrt(3))))*-5*-6.
-30*sqrt(7) + 270
Simplify (5*-2*sqrt(136))/(sqrt(2048)*4).
-5*sqrt(17)/32
Simplify (sqrt(891) - 1*sqrt(891)*-3)**2 + sqrt(539)*2 + sqrt(44)/sqrt(4)*6.
20*sqrt(11) + 14256
Simplify (-1*sqrt(13) + -1 + -6*(sqrt(13) + 3) + 5)**2.
196*sqrt(13) + 833
Simplify (-1*(sqrt(1375) + -1*sqrt(1375) + sqrt(55)))/(4*6*sqrt(15)/sqrt(3)).
-sqrt(11)/24
Simplify -5*(-1 + ((sqrt(128) + -2*sqrt(128))*5)**2)*4.
-63980
Simplify 5*-6*((sqrt(16)*1 + sqrt(16))*-6)/sqrt(8) + -5.
-5 + 360*sqrt(2)
Simplify ((-1*sqrt(114)*-1*4)/(6*(sqrt(864) + 3*sqrt(864))))**2.
19/5184
Simplify (((-1*sqrt(168))/sqrt(8)*3)/(sqrt(70)/(sqrt(2160)/sqrt(6))))**2.
972
Simplify 0 + ((-1 + sqrt(1377))*1)**2 + 5.
-18*sqrt(17) + 1383
Simplify (0 + sqrt(612) + -1 + (sqrt(612) + 0)*1 + (1*(sqrt(612) + 0 + sqrt(612)) - (sqrt(612) + 0)*-5))**2.
-108*sqrt(17) + 49573
Simplify (-3*-2*sqrt(228)*-1)/(-1*1*sqrt(12) + sqrt(1200)*-1 + sqrt(12)).
3*sqrt(19)/5
Simplify (sqrt(2754)/sqrt(2) + sqrt(425) + 2 + 0)**2*-4.
-13344 - 224*sqrt(17)
Simplify (-5 + -4*(sqrt(72) - (-1*sqrt(72)*-6 + sqrt(72)) - ((sqrt(72) - sqrt(72)*2) + sqrt(72) + 5 - sqrt(72))))**2.
3600*sqrt(2) + 29025
Simplify (-2 + (-1*-4*sqrt(700) - sqrt(700) - -4*(sqrt(700) + sqrt(700)*3)))**2 + 2.
-760*sqrt(7) + 252706
Simplify (sqrt(448) + ((-2*sqrt(448) + sqrt(448))*-4)**2 - (sqrt(448) + -1 + 3))*6.
42996
Simplify 3*(sqrt(28) + 1 + -1) + (sqrt(14) + sqrt(14) + sqrt(224)*4)/(sqrt(12)/(sqrt(96) - sqrt(6))).
60*sqrt(7)
Simplify -6*(sqrt(3) + 3)*6 + -2 + ((sqrt(27) - 5*sqrt(27))**2 - sqrt(3)).
-37*sqrt(3) + 322
Simplify (-3*(sqrt(605) + (4*sqrt(605)*2 - sqrt(605)) - (-1 + -1*sqrt(125))))**2 + 2.
1674*sqrt(5) + 389216
Simplify (2 + -3*sqrt(12) + -2 + -1)*-6.
6 + 36*sqrt(3)
Simplify -2*(sqrt(99) + sqrt(99)*-1*3)/(sqrt(144) + (-2*sqrt(144) - sqrt(144))).
-sqrt(11)/2
Simplify -1*(sqrt(20) + (sqrt(980))**2) - (sqrt(80) + -3)**2*5.
-1425 + 118*sqrt(5)
Simplify -2*-4*(0 + 4 + sqrt(12)/(sqrt(12)/sqrt(3)))**2.
64*sqrt(3) + 152
Simplify -2 + (-2*(sqrt(187) + (sqrt(187) - (sqrt(187) - ((sqrt(187) + sqrt(187)*-1 + sqrt(187))*4 - sqrt(187) - sqrt(187))))))/(4*sqrt(704)*-2).
-2 + 3*sqrt(17)/32
Simplify ((sqrt(400)*1*5)/((sqrt(2560)*-2)/sqrt(8)))**2.
125/16
Simplify (sqrt(270)/(sqrt(36)/(sqrt(4)*1)))/(sqrt(50)/(sqrt(5) + (sqrt(20)*3 - sqrt(5)))).
6*sqrt(3)
Simplify (-4 + ((1 + sqrt(125) - sqrt(5)) + sqrt(5))*-1 + sqrt(45)*-2 + -3)**2.
176*sqrt(5) + 669
Simplify (-1 + -1*(sqrt(176)*-2 - sqrt(539)*2)*5)*2.
-2 + 220*sqrt(11)
Simplify (-1*sqrt(3400))/(2*sqrt(200)) + (sqrt(85) - -3*-2*sqrt(85))/(sqrt(30)/(1*sqrt(6))).
-11*sqrt(17)/2
Simplify (-6*(sqrt(128) + -1)*-3)**2 - -5*2*-1*sqrt(128).
-5264*sqrt(2) + 41796
Simplify (-1*(0 + sqrt(108)))**2*-3*-4*2.
2592
Simplify (sqrt(77) + (sqrt(77) - -2*sqrt(77))*-4 + sqrt(77) + 5*-2*sqrt(77))/(sqrt(448) + 1*2*sqrt(448)).
-5*sqrt(11)/6
Simplify (2*sqrt(27)*-1)/(sqrt(324)*-3 - sqrt(9))*-2.
-4*sqrt(3)/19
Simplify (sqrt(114)/sqrt(6) + -1 + 5)**2 + (sqrt(1425) - (sqrt(1425) - (sqrt(1425) - -1*sqrt(1425))))/sqrt(3).
35 + 18*sqrt(19)
Simplify -3*(-4 + sqrt(1700) - sqrt(17)) + 4*sqrt(51)/(2*sqrt(3)).
-25*sqrt(17) + 12
Simplify 2 + (-1 + 1*sqrt(13) + sqrt(13) + -1 + -3)**2 - 5*sqrt(117)/(sqrt(9) + 3*sqrt(36)).
-145*sqrt(13)/7 + 79
Simplify -1 + (sqrt(108)*-1 + 5 + 1)**2 + 4.
-72*sqrt(3) + 147
Simplify (sqrt(57)/(sqrt(24)/sqrt(8)) + -1 + sqrt(133)/sqrt(7)*5 + 2)**2.
12*sqrt(19) + 685
Simplify -2*6*(2*sqrt(1053) + -1).
-216*sqrt(13) + 12
Simplify ((-2*sqrt(450)*-3)/((sqrt(81)*-1)/sqrt(9) + sqrt(9) + sqrt(9)) + -2)**2.
-120*sqrt(2) + 1804
Simplify (sqrt(24)/(sqrt(21)/(sqrt(28)/sqrt(4))))/(sqrt(484)*-1*3).
-sqrt(2)/33
Simplify -4*(3 + ((1*sqrt(48))**2 - (-5 + sqrt(6)/sqrt(2)))) + -4.
-228 + 4*sqrt(3)
Simplify ((sqrt(110) + (sqrt(110) - -2*sqrt(110)*5) + sqrt(110))/(sqrt(1000) + -4*sqrt(1000) + sqrt(10)))**2.
1859/841
Simplify (sqrt(125) + sqrt(125) + 1 + 1 + sqrt(605) + sqrt(220)/(sqrt(11)*-2))*5.
10 + 100*sqrt(5)
Simplify (((sqrt(128) + sqrt(128) + -1)*-4 + sqrt(128))*4 - (-3*(sqrt(128) + (-2*sqrt(128) + sqrt(128) - sqrt(128))) + (-1 + sqrt(128))*5))**2.
-12096*sqrt(2) + 166329
Simplify (sqrt(150)/(2*sqrt(10)*-4))/(sqrt(25)/sqrt(5)*4 - sqrt(5)*-2*-6).
sqrt(3)/64
Simplify 3*((sqrt(833) + -3)**2 + 4 + sqrt(1377)).
-99*sqrt(17) + 2538
Simplify (sqrt(22)*1*-2)/(-4*sqrt(99)/sqrt(9)).
sqrt(2)/2
Simplify (4*(sqrt(1980) - sqrt(1980)*-1))/(sqrt(1100) + sqrt(1100) + sqrt(1100) + -1*1*sqrt(1100)).
12*sqrt(5)/5
Simplify (-3 + sqrt(891) + -2)**2 + -6*2*sqrt(176).
-138*sqrt(11) + 916
Simplify (sqrt(5200) + -2*sqrt(5200) - sqrt(468)*4)/((sqrt(720)/sqrt(5) - sqrt(4))*-5).
22*sqrt(13)/25
Simplify -4*((sqrt(120)/(sqrt(4) + sqrt(4) + (sqrt(4) - sqrt(48)/sqrt(3)) + sqrt(4)))/(6*sqrt(864)*-1))**2.
-5/5184
Simplify 5 + (sqrt(425) - sqrt(425)*3)**2 + sqrt(425) + (-6*(sqrt(425) + 4))**2 + 2.
1445*sqrt(17) + 17583
Simplify (-6*sqrt(156)/sqrt(3) + sqrt(104)/(sqrt(2) + sqrt(8)/sqrt(4)))/(-5*(sqrt(24)*-2 + sqrt(24))/sqrt(6)).
-11*sqrt(13)/10
Simplify sqrt(119)/(-2*sqrt(7))*2 + (-4*(sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 2))) + sqrt(2448))**2.
575*sqrt(17) + 22096
Simplify 5*(1 + (-6*(sqrt(5) + -1) + sqrt(5)*-1 + 5)**2).
-770*sqrt(5) + 1835
Simplify (-3*(2*2*sqrt(475) + 3*sqrt(475)*-3))**2.
106875
Simplify ((sqrt(208) + -1 + sqrt(208))*4*-4)**2 - (1*(sqrt(208) - (3*sqrt(208) - sqrt(208))**2) - sqrt(208))*1.
-4096*sqrt(13) + 214080
Simplify (((sqrt(133) + 1*sqrt(133))*3)/(sqrt(7) + ((sqrt(77) + (sqrt(77) - sqrt(77)*-2))/sqrt(11) - sqrt(7)))*-1)**2.
171/4
Simplify (sqrt(209)*2*4 + sqrt(209) + (sqrt(209) - (sqrt(209) + (-1*sqrt(209) - sqrt(209)))*1))/(sqrt(121)/(sqrt(11)*-1)*2).
-11*sqrt(19)/2
Simplify (-1*(sqrt(1088) + (sqrt(1088)*2 - sqrt(1088)) + 5 + sqrt(1088) - sqrt(1088) - (sqrt(1088)*-1 + -1)))**2.
288*sqrt(17) + 9828
Simplify (-5 + 0 + sqrt(1700) + 3 - (((sqrt(1700) - (2 + (sqrt(1700) + 0 + sqrt(1700) - sqrt(1700)))) + sqrt(1700))*1)**2)*1.
-1706 + 50*sqrt(17)
Simplify (sqrt(28)/sqrt(4) + sqrt(7) + 2 + -4 - (sqrt(7) + sqrt(84)/(sqrt(12)*2) + 2))**2.
-4*sqrt(7) + 71/4
Simplify (-5 + sqrt(1200) + -5 + sqrt(1200) - (sqrt(1200) - ((0 + sqrt(1200))*4 - sqrt(1200))))**2.
-1600*sqrt(3) + 19300
Simplify (-6*sqrt(209)*2 - sqrt(209) - 1*-2*sqrt(209))/(3*(sqrt(1100) - 2*sqrt(1100))).
11*sqrt(19)/30
Simplify sqrt(243) + 1 + -3 + (sqrt(192) + -2 - (sqrt(15)/sqrt(5) + -1 - sqrt(3)))**2.
-7*sqrt(3) + 191
Simplify (-2*(-6*4*-6*(sqrt(192) + sqrt(192)*1) + 4))**2.
73728*sqrt(3) + 63701056
Simplify (sqrt(55)/(sqrt(60)/(sqrt(12) - -3*sqrt(12))))**2 + -3 + (sqrt(77)/sqrt(7))**2*-6.
107
Simplify (-5*(0 + (sqrt(125) - (-2 + sqrt(125) + 2) - sqrt(125))))**2.
3125
Simplify (sqrt(171) - (-1*sqrt(171)*2 + sqrt(171)) - sqrt(171)) + (-3*(sqrt(171)*4 + sqrt(171)))**2 + -5.
3*sqrt(19) + 38470
Simplify 2*2*sqrt(5324)*6 + 2 + 5.
7 + 528*sqrt(11)
Simplify (((2*sqrt(114) - sqrt(114) - sqrt(114)) + sqrt(114) + sqrt(114) - sqrt(114))*-3 + 6*2*sqrt(114))/(5*sqrt(96)*-4).
-9*sqrt(19)/80
Simplify (-5 + ((sqrt(76)*-3)/sqrt(4))**2 + 4)*2.
340
Simplify (sqrt(105)/(sqrt(42)/sqrt(6))*3)/((sqrt(225)/sqrt(5) - sqrt(45)) + (sqrt(500)*2 - sqrt(5))).
3*sqrt(3)/19
Simplify 4 + 2*sqrt(171) + sqrt(171) - (sqrt(304) + sqrt(304) + -1 - (sqrt(171)*-2)/sqrt(9))**2.
-1897 + 29*sqrt(19)
Simplify (sqrt(560)/(sqrt(10) - -2*(sqrt(10) + (sqrt(10) - sqrt(160))) - sqrt(10)))/(-2*-2*sqrt(968)).
-sqrt(7)/176
Simplify (-2 + 2 + sqrt(300) + 3 + (sqrt(300) - ((2*sqrt(300) - sqrt(300)) + -5)))**2*-2.
-728 - 320*sqrt(3)
Simplify -5*-5*((-2*sqrt(931))**2 - sqrt(931))*-6.
-558600 + 1050*sqrt(19)
Simplify sqrt(12) + (sqrt(192) - sqrt(12)) + 3 + sqrt(33)/(sqrt(1584)*-2).
3 + 191*sqrt(3)/24
Simplify (-3*(-1 + sqrt(847)) - (2 + sqrt(7)*2 + sqrt(14)/sqrt(2) + 0))**2.
-72*sqrt(7) + 9073
Simplify 1*sqrt(891) + ((sqrt(33)*-2)/sqrt(3))**2 - (sqrt(1100) + (6*
|
{
"pile_set_name": "DM Mathematics"
}
|
6700 = 0?
-6, -2, 368945
Find u such that -387*u**4/2 - 32119*u**3/2 + 431588*u**2 + 923474*u - 4784 = 0.
-104, -2, 2/387, 23
Factor 4*n**3 - 213100*n**2 + 2837692800*n + 14193792000.
4*(n - 26640)**2*(n + 5)
Determine d so that -4*d**3/7 + 5068304*d**2/7 + 20273264*d/7 + 20273280/7 = 0.
-2, 1267080
Factor -4*d**3 - 19968*d**2 - 25718580*d - 9895482936.
-4*(d + 873)**2*(d + 3246)
Solve -r**4 + 1294*r**3 - 6433*r**2 - 15504*r + 46404 = 0.
-3, 2, 6, 1289
Factor -9867335*j**4 - 207214005*j**3 - 1450497615*j**2 - 3384491495*j + 10290.
-5*(j + 7)**3*(1973467*j - 6)
Solve 5*q**4 - 86340*q**3 + 503681510*q**2 - 1130637236820*q + 857417779499645 = 0 for q.
1963, 6671
Factor -j**5 + 18938*j**4 - 119524023*j**3 + 251239344818*j**2 + 1006511949212*j + 755153061432.
-(j - 6314)**3*(j + 1)*(j + 3)
What is s in 4*s**5 + 157720*s**4 - 3471488*s**3 + 11362176*s**2 = 0?
-39452, 0, 4, 18
Find o, given that 3*o**4/7 + 164733*o**3/7 - 1153254*o**2/7 + 1318080*o/7 + 2636064/7 = 0.
-54918, -1, 4
Factor -3*m**2/4 - 14847*m/2 + 2545665/4.
-3*(m - 85)*(m + 9983)/4
Factor -p**4/7 + 20535*p**3/7 - 4328778*p**2 + 2202595052*p - 376886280456.
-(p - 18981)*(p - 518)**3/7
Factor -v**2/4 + 1899947*v/2.
-v*(v - 3799894)/4
Solve -c**5/2 - 1987*c**4/2 + 664543*c**3/2 - 49446209*c**2/2 - 166020453*c + 428291064 = 0.
-2287, -8, 2, 153
Let 5*r**3 - 142420*r**2 - 41038855*r - 2941588650 = 0. Calculate r.
-143, 28770
Factor -5826*b**2 + 174776*b/3 + 40/3.
-2*(b - 10)*(8739*b + 2)/3
Solve -2*p**3/15 - 539858*p**2/5 + 1079718*p/5 - 1619578/15 = 0.
-809789, 1
Factor 70875*h**3 + 52139925*h**2 + 4634240*h + 102980.
5*(7*h + 5149)*(45*h + 2)**2
Determine z so that -5797715*z**5 + 155653080*z**4 + 30518755*z**3 - 178612260*z**2 - 1757540*z - 4320 = 0.
-8/7, -2/407, 1, 27
Let -7035*c**4 + 21122*c**3 + 6984*c**2 - 21122*c + 51 = 0. Calculate c.
-1, 17/7035, 1, 3
Factor 9*t**2 - 7998042*t + 1776907662049.
(3*t - 1333007)**2
Find h, given that -600*h**2 + 11606995*h + 96725 = 0.
-1/120, 19345
What is h in -2*h**5/9 + 5522*h**4/9 + 3454526*h**3/9 - 13889810*h**2/9 + 3476588*h/3 = 0?
-529, 0, 1, 3, 3286
Factor -4*q**3 + 30168*q**2 - 48517380*q + 22349833200.
-4*(q - 5532)*(q - 1005)**2
Determine w, given that w**2/5 + 62067*w/5 + 62066/5 = 0.
-62066, -1
Suppose 2*c**4/7 - 929238*c**3/7 + 107860564388*c**2/7 + 17389949132760*c/7 - 35211333089200/7 = 0. Calculate c.
-163, 2, 232390
Suppose w**2/2 - 1378183*w - 2756368 = 0. What is w?
-2, 2756368
Find n, given that -3*n**3 + 401385*n**2 - 13427231256*n + 93970951956 = 0.
7, 66894
Find q, given that 8*q**3/11 + 576546238*q**2/11 - 144136560*q/11 = 0.
-72068280, 0, 1/4
What is v in -3*v**4/7 - 1029534*v**3/7 - 88273772607*v**2/7 + 9365697565884*v/7 - 248267646134028/7 = 0?
-171642, 53
Factor 5*f**2 - 33920*f - 3581760.
5*(f - 6888)*(f + 104)
Determine u, given that u**5/6 + 7709*u**4/3 + 1163835*u**3/2 + 33478722*u**2 + 32899374*u = 0.
-15189, -114, -1, 0
Factor 2*y**2/7 - 4521606*y/7 - 645944.
2*(y - 2260804)*(y + 1)/7
Suppose q**5 + 5121*q**4 + 259139*q**3 + 2882751*q**2 - 10539072*q + 7392060 = 0. Calculate q.
-5070, -27, 1, 2
Factor 18*x**3 + 36249*x**2 + 17990388*x - 262189980.
3*(x + 1014)**2*(6*x - 85)
Suppose -13*g**4/8 - 1241*g**3/8 - 3203*g**2/4 - 150*g + 2700 = 0. What is g?
-90, -4, -3, 20/13
Suppose -45*v**4 - 6490*v**3 + 3734685*v**2 + 830250*v = 0. What is v?
-369, -2/9, 0, 225
Determine n so that -2*n**5 + 23038*n**4 - 115138*n**3 - 23038*n**2 + 115140*n = 0.
-1, 0, 1, 5, 11514
Determine p so that 5*p**5 + 3630*p**4 + 60500*p**3 + 166290*p**2 - 230425*p = 0.
-709, -13, -5, 0, 1
Let 90*s**5/7 - 56356*s**4/7 - 911826*s**3/7 - 1528028*s**2/7 - 780504*s/7 - 15408 = 0. Calculate s.
-14, -1, -3/5, -2/9, 642
Factor -4*j**2/7 - 211392*j/7 + 4664176.
-4*(j - 154)*(j + 53002)/7
Determine t, given that 2*t**4/5 + 655164*t**3/5 + 3275768*t**2/5 - 655164*t/5 - 655154 = 0.
-327577, -5, -1, 1
Let n**2 - 28016*n - 280260 = 0. What is n?
-10, 28026
Determine i so that -2*i**4/7 + 3250*i**3/7 - 193212*i**2 + 24942200*i/7 + 831019568/7 = 0.
-17, 38, 802
Solve -4*p**3 - 1055265320*p**2 + 2110530652*p - 1055265328 = 0 for p.
-263816332, 1
Determine h, given that -159*h**4/5 + 225177*h**3 - 1972137771*h**2/5 - 74442489033*h/5 + 2811958782/5 = 0.
-37, 2/53, 3559
Suppose 3*i**3/5 + 1239*i**2/5 - 98994*i/5 + 75192 = 0. Calculate i.
-482, 4, 65
Find q such that -q**4/11 - 107798*q**3/11 - 2905856689*q**2/11 - 40666148712*q/11 - 142313035536/11 = 0.
-53892, -7
Let -s**3/2 - 24466*s**2/3 - 23425963*s/6 - 7797781/3 = 0. What is s?
-15817, -493, -2/3
Let -4*g**2 + 9219332*g - 9219328 = 0. What is g?
1, 2304832
Determine x so that -2*x**2 - 9355704*x + 9355706 = 0.
-4677853, 1
Suppose 16*b**2/7 - 409410*b/7 + 1688544/7 = 0. Calculate b.
33/8, 25584
Factor -5*o**2 - 71070380*o + 142140780.
-5*(o - 2)*(o + 14214078)
Solve 4*n**2 - 62562136*n - 62562140 = 0 for n.
-1, 15640535
Factor -2*d**2/9 - 122032*d/3 - 7321120/9.
-2*(d + 20)*(d + 183028)/9
Suppose 4*k**5 + 4003*k**4/2 + 16354*k**3 - 128409*k**2/2 - 604863*k - 216972 = 0. Calculate k.
-492, -7, -3/8, 6
Factor 2*m**2/5 + 36875332*m + 849868818818890.
2*(m + 46094165)**2/5
What is c in 3*c**4/8 + 188943*c**3/8 - 2267613*c**2/8 + 8503905*c/8 - 4724475/4 = 0?
-62993, 2, 5
What is r in 3*r**5 + 96*r**4 - 144*r**3 - 13782*r**2 + 27597*r - 13770 = 0?
-27, -17, 1, 10
Determine k so that 2*k**3 + 2856336*k**2 = 0.
-1428168, 0
Factor -4*u**2/9 + 17117512*u/3 - 18313076066884.
-4*(u - 6419067)**2/9
Suppose -2*q**5/5 + 38*q**4/5 - 118*q**3/5 - 38*q**2/5 + 24*q = 0. What is q?
-1, 0, 1, 4, 15
Determine v, given that 3*v**2/2 - 2228*v/3 + 275776/3 = 0.
2224/9, 248
Suppose -4*v**5/7 - 7216*v**4/7 - 43164*v**3/7 - 21472*v**2/7 + 187088*v/7 + 172608/7 = 0. Calculate v.
-1798, -4, -3, -1, 2
Determine i, given that 3*i**4 + 497142*i**3 + 1988523*i**2 + 497112*i - 2982780 = 0.
-165710, -3, -2, 1
Factor -3*l**2 + 102780*l - 616572.
-3*(l - 34254)*(l - 6)
Find w such that -w**2 - 15755940*w - 62062411320900 = 0.
-7877970
Factor -6088*q**2/7 + 16302*q/7 - 8252/7.
-2*(q - 2)*(3044*q - 2063)/7
Suppose -80*d**5 + 7843800*d**4 + 58832755*d**3 + 24023715*d**2 - 23533235*d + 3431925 = 0. What is d?
-7, -1, 1/4, 98055
Find q, given that -3*q**4 + 13040292*q**3 + 156483828*q**2 + 469451808*q = 0.
-6, 0, 4346776
Determine f so that -2*f**2/3 + 143963*f/3 + 6659080 = 0.
-277/2, 72120
What is f in 3*f**5/7 + 4161*f**4/7 + 24882*f**3/7 + 33126*f**2/7 - 3555*f - 37287/7 = 0?
-1381, -3, -1, 1
Factor 2*y**2 - 203760*y + 815008.
2*(y - 101876)*(y - 4)
Determine f so that -f**2 - 138515*f - 5262126 = 0.
-138477, -38
Suppose 10*m**4/11 + 8526*m**3/11 + 97982*m**2/11 + 358770*m/11 + 423864/11 = 0. Calculate m.
-841, -28/5, -3
Factor 2*l**2/15 - 269218*l/15 + 215368/3.
2*(l - 134605)*(l - 4)/15
Let -4*o**3 - 892*o**2 - 27416*o + 236992 = 0. Calculate o.
-184, -46, 7
Let 5*t**5 + 1165*t**4 + 24030*t**3 - 25200*t**2 = 0. What is t?
-210, -24, 0, 1
Let -5*h**2 + 542103700*h - 14693821077684500 = 0. What is h?
54210370
Factor r**3/2 + 40691*r**2/2 - 81388*r + 81390.
(r - 2)**2*(r + 40695)/2
Factor -x**3/5 + 23836*x**2/5 - 145339957*x/5 + 39112759578/5.
-(x - 11777)**2*(x - 282)/5
Factor 9*y**3 + 229*y**2 - 1617*y + 2547.
(y - 3)**2*(9*y + 283)
Factor -u**2/2 + 1370445*u/2 + 1370447.
-(u - 1370447)*(u + 2)/2
Let 5*l**3 + 1755740*l**2 + 1755735*l = 0. Calculate l.
-351147, -1, 0
Suppose -4*i**4 - 94036*i**3 + 564364*i**2 + 93940*i - 2821800 = 0. Calculate i.
-23515, -2, 3, 5
Suppose 2*c**3/3 - 223286*c**2/3 + 2074267674*c + 172677337218 = 0. Calculate c.
-83, 55863
Let -2*y**3/3 - 408334*y**2/9 + 6671024*y/9 - 2178304/9 = 0. What is y?
-68072, 1/3, 16
Suppose 2*t**3 - 208832*t**2 + 5452394538*t - 54503064180 = 0. Calculate t.
10, 52203
Determine q, given that 5*q**3 - 4015*q**2 + 791100*q - 1566180 = 0.
2, 339, 462
Determine g, given that 936752979600*g**2 - 50328720*g + 676 = 0.
13/483930
Determine t so that -2*t**3 + 1798186*t**2 + 1798200*t - 10789128 = 0.
-3, 2, 899094
Factor 3*c**4/4 + 1359*c**3 - 701679*c**2/4.
3*c**2*(c - 121)*(c + 1933)/4
What is o in 2*o**4 + 91544*o**3 + 1048453032*o**2 + 20941605440*o + 104662275200 = 0?
-22876, -10
Factor -c**3/5 + 18063*c**2/5 + 10501752*c/5 + 1502701936/5.
-(c - 18631)*(c + 284)**2/5
Find t such that -1682*t
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2. Let c be y(2). Let b = 40 - 23. Let k = c - b. What are the prime factors of k?
3, 5
Let x(a) = 109*a. Let d be x(1). Suppose -l + d = 4*b, 4*l - 5*l = -2*b + 59. Suppose 27 = 5*w - b. List the prime factors of w.
11
Let g be -1 + (1 - 0 - 0). List the prime factors of (g - -1) + 5 - -2.
2
Let h = -39 - -93. Let l = 8 + -45. Let j = l + h. What are the prime factors of j?
17
What are the prime factors of 0 + 3*43 + (45 - 42)?
2, 3, 11
Suppose c - 2*t + 0 + 1 = 0, 2*c - 5*t - 2 = 0. Let l be -4 - ((-72)/(-9) + 2/(-2)). Let v = c - l. What are the prime factors of v?
2
Suppose -285 = p - 4*p. List the prime factors of p.
5, 19
Let y = -8 + 16. Let t be 2/y - (-14)/8. Suppose 3*o + t*m = -2*o + 31, 2*o = -3*m + 8. List the prime factors of o.
7
Suppose -4*y = -2*v + 18, -30 = 5*y - 3*v - 7. Let p = y - -15. List the prime factors of p.
11
Suppose -5*r + 2*z + 302 = 0, -r - 33 = 2*z - 91. Suppose 5*g + r - 255 = 0. What are the prime factors of g?
3, 13
Let a = -55 - -92. What are the prime factors of a?
37
Let o(m) = -m - 5. Let i be o(-3). Let b be ((-44)/6 + (-4)/(-12))*-1. What are the prime factors of (48/14 + i)*b?
2, 5
List the prime factors of ((-180)/(-16))/(6/16).
2, 3, 5
Let r = 15 - 21. Let u = r - -9. Suppose -3*i - 27 = s - 5*s, -u*s - 5*i = -13. What are the prime factors of s?
2, 3
Let c(y) = -2 + 6*y + 5*y - 5*y. Let f be c(1). Suppose -5*v + f*w = -30, -4*v - 3*w - 5 = v. List the prime factors of v.
2
Let n(p) = -p**3 + 4*p**2 - p - 2. Let j be n(2). Let h = j - 1. Suppose 4*g - 28 = -h*m + 3*g, -4*m + 34 = 2*g. What are the prime factors of m?
11
Let l = 205 - 134. What are the prime factors of l?
71
Let n be (-2)/(-3)*(-27)/6. Let q(w) = -3*w + 3. List the prime factors of q(n).
2, 3
List the prime factors of 2343/27 + 4/18.
3, 29
Let j(w) = 7*w**2 - w**3 - 3*w + 53 + 5*w - 52. What are the prime factors of j(6)?
7
Let k be 14*-1*6/7. What are the prime factors of (-56)/k*3/2?
7
Let f(k) = k**3 - 7*k**2 - 5*k - 8. Let o(d) = d**2 + d + 8. Let s be o(0). What are the prime factors of f(s)?
2
Suppose 0 = 3*m - 24 - 6. Suppose 0 = -5*t - 0*t + m. Suppose 6*v = 5*o + v - 5, -22 = -2*o - t*v. List the prime factors of o.
2, 3
Suppose 0 = -r + 4*r - 120. List the prime factors of r.
2, 5
Suppose -5*l = -5*z + 155, -7*z = -2*z + 2*l - 141. List the prime factors of z.
29
Suppose -s - 1 = -12. List the prime factors of s.
11
Suppose -5*p - 281 = -1251. What are the prime factors of p?
2, 97
Suppose -u = 2*h - 43, 5*h = 4*u + 88 - 286. Suppose -3*l = -u - 22. List the prime factors of l.
23
Let l be (-114)/(-7) - (-10)/(-35). Suppose -5 = g - l. What are the prime factors of g?
11
Let m = 49 - 31. What are the prime factors of m?
2, 3
Let k be 3/(-1) + (5 - 2). Let y = k - -11. List the prime factors of y.
11
Let c(f) = f**3 - 6*f**2 + 5*f - 8. Let r be c(7). Suppose -m + r = 3*m. What are the prime factors of m?
19
Let u(v) = -v**3 + 2*v**2 + 4*v - 1. Suppose 6*i - i = 15. Let r be u(i). Suppose -r*w = 3*w + 3*a - 25, 3*w + a = 11. What are the prime factors of w?
2
Let s = 8 - 5. Suppose 3*x - 2*r = 40, 4*x - x - 15 = -s*r. What are the prime factors of x?
2, 5
Suppose -4*y + 14 = -o + 51, 4*o - 3*y - 83 = 0. List the prime factors of 2/(3 - 49/o).
17
Let i(h) = -h**2 - 7*h + 11. Let p be i(-8). Suppose 2*d - 3*d + p = 0. Suppose -j = 0, -4*b + j = d*j - 12. List the prime factors of b.
3
Let g(u) = -u**2 - 2*u - 3. Suppose -4*p - 20 + 5 = -q, 0 = 5*q - 15. Let c be g(p). Let a(m) = -3*m - 7. List the prime factors of a(c).
11
Let y(j) = -3*j**3 + 3*j**3 - 8*j - j**3 + 13 - 10*j**2. List the prime factors of y(-9).
2
Let s = 18 - 2. Suppose -s = -2*d + d. List the prime factors of d.
2
Suppose 1 = -x, g - 1 = 3*x + 3. Let a(r) = -4*r**3 - g + 2*r**2 + 0*r**3 - 2*r**3. What are the prime factors of a(-1)?
7
Let s = 2 + -2. Suppose 2*g - 3*k = s, -2*g + 16 = 9*k - 4*k. List the prime factors of g.
3
Let o be 22/6 - 10/15. Suppose o*k - 8*k = -20. List the prime factors of k.
2
Suppose 3*y - 161 - 259 = 0. Suppose 0*n - 5*n = -y. List the prime factors of n.
2, 7
Let c be (2/(-4))/((-4)/16). Suppose -c*x + x = 6. Let z = 1 - x. What are the prime factors of z?
7
Suppose 0*n + 4 = 2*n. Let r be -12*((-8)/2 + n). Let f = -15 + r. List the prime factors of f.
3
Let i be (-3)/4 - (-247)/52. What are the prime factors of (-48)/(-9)*6/i?
2
Suppose 2*k - k + 19 = q, -2*k - 83 = -5*q. What are the prime factors of q?
3, 5
Suppose z + 9 = -2*t - 2*z, 24 = 3*t - 3*z. Suppose s - t*m + 5 = 0, -4*s + 0 + 14 = 5*m. Suppose -s = -4*i + 11. What are the prime factors of i?
3
Let w(t) = -t + 2. Let q be w(-2). Let b be q + -1 + 3 + -1. Suppose -n + 31 = 3*n + 3*p, b*n - 47 = -p. List the prime factors of n.
2, 5
Let p be 1 - -1*(7 - 3). Suppose 0 = p*r + 5*k - 245, -3*r - 4*k + 137 = -3*k. What are the prime factors of r?
2, 11
What are the prime factors of 90 + 2 + -1 + 3?
2, 47
Let g(n) = -n**2 + 14*n. Let x(v) = -v**2 + 6*v + 6*v**2 - 35*v - 3*v**2. Let j(c) = 7*g(c) + 3*x(c). What are the prime factors of j(10)?
2, 5
Let y(k) = k**2 - 2*k - 1. Let g = 2 + 1. What are the prime factors of y(g)?
2
Suppose -i + 5*i = 112. Suppose 2*k - i = -2*k. What are the prime factors of k?
7
Let j(q) = q - 1. Let r be j(2). Let d be 2*r*3/(-6). List the prime factors of (-1)/((-3)/(-21)*d).
7
Let i = -19 + 39. Suppose 5*r = -4*x + 13 + 11, 4*x = -4*r + i. Suppose r*s + 37 = 7*s - 4*k, 5*s + k - 31 = 0. List the prime factors of s.
7
Let z(v) = v - 1. Let y be z(4). Suppose -4*c = 4*d + 28, d - 19 = 3*d + y*c. What are the prime factors of d - (-3 - 20)*1?
3, 7
Suppose 30 = 4*p + 5*d, p + 2 - 1 = 3*d. Suppose -2*t + 5*q - 12 = 0, p*q = -2*t + 6 + 22. Suppose t*f - 45 = -f. List the prime factors of f.
3
What are the prime factors of 4/18 - 7710/(-54)?
11, 13
Let a(x) = x**3 + 13*x**2 + 18*x + 31. What are the prime factors of a(-11)?
3, 5
Suppose 2*n = -2*n. Suppose 3*r = 5*o + 17, 2*r + 6*o - 5*o - 20 = n. List the prime factors of r.
3
Suppose 5*x + 28 = -7. List the prime factors of 0 + -1 + 14 + x.
2, 3
Let j = 18 - 16. What are the prime factors of (2 - j) + 33 + -8?
5
Let t(n) = -6*n + 6. Let q be t(-5). Suppose -2*o + 0*o = -q. List the prime factors of o.
2, 3
Let b be -2*1 - (-6 - -2). Let k(d) = d**3 - 3*d**2 + 4*d - 2. List the prime factors of k(b).
2
Suppose -5*r = o - 17, 0 = -0*o - 2*o - 5*r + 24. Suppose -3*w - 2*p + 6*p = -o, w - 4*p = 13. What are the prime factors of 4/1*w/(-4)?
3
What are the prime factors of 0 - -74*3/6?
37
Suppose 4*f = 4*w - 24, -3*f = -0 - 3. What are the prime factors of w?
7
Suppose 2*j + 1 = 5. Suppose -j*x = -7*x + 85. List the prime factors of x.
17
Let t(a) = a**2 + 9*a. Let m be t(-4). Let f = 9 - m. List the prime factors of f.
29
Let l be (-9)/6*(-1 - 1). Suppose 0 = 2*x + l*d - 0*d, 0 = -3*x + d. Suppose 8 = 3*c + c, x = h + 4*c - 17. List the prime factors of h.
3
Let c be -3*((-8)/(-6))/2. Let d(y) be the second derivative of -y**5/20 - y**4/12 + y**2 + y. List the prime factors of d(c).
2, 3
Suppose -4*f = 3*d - 252, 0 = -3*d + 2*d + 4. List the prime factors of f.
2, 3, 5
Suppose -4*z - 3*z = -1078. What are the prime factors of z?
2, 7, 11
Let j(s) = 18*s. Let x be 2/3 - (-8)/(-3). Let a be j(x). Let g = a - -51. What are the prime factors of g?
3, 5
Let t = 10 - 6. Suppose -2*r - 19 = -5*m - 3*r, 0 = 5*m - t*r + 1. Suppose -m*c + 40 = 2*c. What are the prime factors of c?
2
Let s(r) = -2*r + 7. Let n be s(7). Let l = n - -11. Suppose -l*j + 2 + 14 = 0. What are the prime factors of j?
2
Let u = -15 + 50. List the prime factors of u.
5, 7
Suppose 3*i + 6 = 4*j + i, 0 = -5*j + 5*i. Let u(t) = 8*t. What are the prime factors of u(j)?
2, 3
Suppose 4*h - 363 = -0*h + s, 5*h + 2*s - 457 = 0. Suppose -h = -6*g + 3*g + o, 2*o - 138 = -4*g. List the prime factors of g.
2
Let z be 10/8 - 18/(-24). Suppose 51 = 3*x - 4*a, 2*a + 20 = z*x + 4*a. Suppose 3*o = s - 17, 4*o + 3 = -x. List the prime factors of s.
5
Let l be 18/(-4)*8/(-6). Let x = 16 + 84. Suppose w + x = l*w. What are the prime factors of w?
2, 5
Suppose 11*j = 6*j + 5. What are the prime factors of (-4)/((16/(-12))/j)?
3
Suppose 3 = -4*p - 5. Let d = p - -5. List the prime factors of d.
3
Let q = -2 - -5. Suppose 4*k - 11 = -m + 2*m, q*k - 5*m +
|
{
"pile_set_name": "DM Mathematics"
}
|
821
List the prime factors of 2249.
13, 173
What are the prime factors of 160709?
160709
What are the prime factors of 3341?
13, 257
List the prime factors of 30144.
2, 3, 157
List the prime factors of 29815.
5, 67, 89
What are the prime factors of 56175?
3, 5, 7, 107
List the prime factors of 334.
2, 167
What are the prime factors of 73196?
2, 29, 631
List the prime factors of 18161.
11, 13, 127
What are the prime factors of 38?
2, 19
List the prime factors of 874.
2, 19, 23
What are the prime factors of 15776?
2, 17, 29
List the prime factors of 128638.
2, 64319
What are the prime factors of 728?
2, 7, 13
List the prime factors of 864.
2, 3
What are the prime factors of 522?
2, 3, 29
What are the prime factors of 735?
3, 5, 7
What are the prime factors of 707?
7, 101
What are the prime factors of 3860?
2, 5, 193
List the prime factors of 126124.
2, 31531
What are the prime factors of 4437?
3, 17, 29
What are the prime factors of 126?
2, 3, 7
What are the prime factors of 189?
3, 7
List the prime factors of 969.
3, 17, 19
List the prime factors of 47227.
83, 569
List the prime factors of 13077.
3, 1453
What are the prime factors of 27098?
2, 17, 797
List the prime factors of 4957.
4957
List the prime factors of 16005.
3, 5, 11, 97
List the prime factors of 58726.
2, 29363
What are the prime factors of 4205?
5, 29
List the prime factors of 41635.
5, 11, 757
What are the prime factors of 48549?
3, 16183
What are the prime factors of 1272?
2, 3, 53
List the prime factors of 4815.
3, 5, 107
List the prime factors of 2349.
3, 29
List the prime factors of 5204.
2, 1301
What are the prime factors of 38183?
38183
List the prime factors of 859.
859
What are the prime factors of 1516?
2, 379
List the prime factors of 491.
491
What are the prime factors of 780?
2, 3, 5, 13
What are the prime factors of 93533?
11, 773
What are the prime factors of 11612?
2, 2903
What are the prime factors of 929?
929
What are the prime factors of 98893?
98893
List the prime factors of 44066.
2, 11, 2003
List the prime factors of 26552.
2, 3319
What are the prime factors of 1100?
2, 5, 11
What are the prime factors of 7?
7
What are the prime factors of 124062?
2, 3, 23, 29, 31
What are the prime factors of 126106?
2, 17, 3709
List the prime factors of 16933.
7, 41, 59
What are the prime factors of 41708?
2, 10427
List the prime factors of 483.
3, 7, 23
List the prime factors of 1899.
3, 211
List the prime factors of 4032.
2, 3, 7
What are the prime factors of 3575?
5, 11, 13
List the prime factors of 79411.
79411
List the prime factors of 870.
2, 3, 5, 29
What are the prime factors of 1815?
3, 5, 11
List the prime factors of 75691.
7, 11, 983
List the prime factors of 21339.
3, 2371
List the prime factors of 832.
2, 13
What are the prime factors of 12430?
2, 5, 11, 113
What are the prime factors of 1051?
1051
List the prime factors of 721.
7, 103
List the prime factors of 3622.
2, 1811
What are the prime factors of 28523?
11, 2593
What are the prime factors of 90038?
2, 13, 3463
What are the prime factors of 9864?
2, 3, 137
List the prime factors of 22796.
2, 41, 139
List the prime factors of 58084.
2, 13, 1117
What are the prime factors of 538?
2, 269
List the prime factors of 3640.
2, 5, 7, 13
What are the prime factors of 1389?
3, 463
What are the prime factors of 2626?
2, 13, 101
What are the prime factors of 27883?
27883
List the prime factors of 405.
3, 5
What are the prime factors of 227?
227
What are the prime factors of 6979?
7, 997
What are the prime factors of 106976?
2, 3343
List the prime factors of 10074.
2, 3, 23, 73
List the prime factors of 1901.
1901
List the prime factors of 2731.
2731
List the prime factors of 617.
617
List the prime factors of 6295.
5, 1259
List the prime factors of 688.
2, 43
List the prime factors of 34448.
2, 2153
What are the prime factors of 2336?
2, 73
List the prime factors of 237.
3, 79
What are the prime factors of 8330?
2, 5, 7, 17
List the prime factors of 1367.
1367
List the prime factors of 153660.
2, 3, 5, 13, 197
What are the prime factors of 8522?
2, 4261
What are the prime factors of 14462?
2, 7, 1033
What are the prime factors of 607?
607
What are the prime factors of 12078?
2, 3, 11, 61
What are the prime factors of 27986?
2, 7, 1999
What are the prime factors of 2341?
2341
List the prime factors of 5167.
5167
What are the prime factors of 731?
17, 43
What are the prime factors of 68462?
2, 34231
List the prime factors of 128934.
2, 3, 13, 19, 29
List the prime factors of 27328.
2, 7, 61
List the prime factors of 29036.
2, 7, 17, 61
List the prime factors of 1034.
2, 11, 47
What are the prime factors of 5600?
2, 5, 7
What are the prime factors of 4442?
2, 2221
What are the prime factors of 72559?
72559
What are the prime factors of 16342?
2, 8171
What are the prime factors of 809?
809
What are the prime factors of 7600?
2, 5, 19
What are the prime factors of 84569?
19, 4451
List the prime factors of 111960.
2, 3, 5, 311
List the prime factors of 20461.
7, 37, 79
List the prime factors of 27459.
3, 113
List the prime factors of 11995.
5, 2399
What are the prime factors of 492?
2, 3, 41
List the prime factors of 1952.
2, 61
List the prime factors of 44512.
2, 13, 107
What are the prime factors of 61120?
2, 5, 191
What are the prime factors of 708?
2, 3, 59
List the prime factors of 16124.
2, 29, 139
What are the prime factors of 4543?
7, 11, 59
What are the prime factors of 3581?
3581
List the prime factors of 663.
3, 13, 17
List the prime factors of 12419.
11, 1129
What are the prime factors of 798?
2, 3, 7, 19
What are the prime factors of 2508?
2, 3, 11, 19
What are the prime factors of 3054?
2, 3, 509
List the prime factors of 163.
163
What are the prime factors of 61566?
2, 3, 31, 331
List the prime factors of 248.
2, 31
What are the prime factors of 620?
2, 5, 31
List the prime factors of 349.
349
What are the prime factors of 6013?
7, 859
List the prime factors of 7172.
2, 11, 163
List the prime factors of 18871.
113, 167
What are the prime factors of 5547?
3, 43
What are the prime factors of 357?
3, 7, 17
What are the prime factors of 598?
2, 13, 23
List the prime factors of 94954.
2, 197, 241
What are the prime factors of 32450?
2, 5, 11, 59
List the prime factors of 4422.
2, 3, 11, 67
List the prime factors of 1894.
2, 947
What are the prime factors of 104686?
2, 17, 3079
List the prime factors of 15809.
15809
What are the prime factors of 95?
5, 19
List the prime factors of 1873.
1873
List the prime factors of 22677.
3, 7559
What are the prime factors of 4967?
4967
What are the prime factors of 1604?
2, 401
List the prime factors of 566.
2, 283
List the prime factors of 870.
2, 3, 5, 29
What are the prime factors of 21158?
2, 71, 149
What are the prime factors of 4448?
2, 139
List the prime factors of 71269.
11, 19, 31
List the prime factors of 4677.
3, 1559
List the prime factors of 9325.
5, 373
List the prime factors of 6739.
23, 293
List the prime factors of 9937.
19, 523
What are the prime factors of 68406?
2, 3, 13, 877
List the prime factors of 46491.
3, 15497
What are the prime factors of 1632?
2, 3, 17
List the prime factors of 2800.
2, 5, 7
What are the prime factors of 63688?
2, 19, 419
What are the prime factors of 2053?
2053
List the prime factors of 1813.
7, 37
What are the prime factors of 7092?
2, 3, 197
What are the prime factors of 3368?
2, 421
List the prime factors of 1037.
17, 61
List the prime factors of 9789.
3, 13, 251
List the prime factors of 12861.
3, 1429
What are the prime factors of 525?
3, 5, 7
List the prime factors of 2298.
2, 3, 383
What are the prime factors of 59609?
11, 5419
List the prime factors of 568.
2, 71
What are the prime factors of 120905?
5, 24181
List the prime factors of 40098.
2, 3, 41, 163
List the prime factors of 83367.
3, 59, 157
What are the prime factors of 27062?
2, 7, 1933
List the prime factors of 390.
2, 3, 5, 13
List the prime factors of 2488.
2, 311
What are the prime factors of 636?
2, 3, 53
List the prime factors of 5647.
5647
List the prime factors of 5143.
37, 139
List the prime factors of 3956.
2, 23, 43
List the prime factors of 70242.
2, 3, 23, 509
List the prime factors of 4395.
3, 5, 293
What are the prime factors of 1001?
7, 11, 13
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from bqkcdsd. Give prob of picking 1 k, 1 d, and 2 c.
0
What is prob of picking 3 l when three letters picked without replacement from mlllmmmllmml?
1/11
Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {o: 1, x: 2, y: 1, t: 8, q: 1, f: 1}.
0
Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {q: 5, f: 7, r: 1, g: 1, n: 2}.
7/24
Three letters picked without replacement from hgbhhgbhy. What is prob of picking 2 g and 1 y?
1/84
Calculate prob of picking 1 j, 2 g, and 1 t when four letters picked without replacement from {j: 1, x: 1, t: 3, g: 2, y: 4}.
1/110
Calculate prob of picking 1 x and 2 s when three letters picked without replacement from xssssssxs.
1/2
Calculate prob of picking 2 f and 2 a when four letters picked without replacement from acaccafcfacccf.
18/1001
Four letters picked without replacement from {z: 4, e: 2, c: 5, l: 7}. What is prob of picking 1 z, 2 l, and 1 c?
7/51
Three letters picked without replacement from {s: 2, i: 11}. What is prob of picking 3 i?
15/26
Three letters picked without replacement from ovqqvqoqooqqqqqoo. Give prob of picking 2 q and 1 o.
27/85
Two letters picked without replacement from jjjqbtbqxxxjeqxebxjj. What is prob of picking 1 q and 1 e?
3/95
Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, j: 10}.
1/66
Four letters picked without replacement from tktkkkttxtctnttnhtkk. Give prob of picking 1 n, 1 x, 1 t, and 1 c.
6/1615
Two letters picked without replacement from {q: 2, a: 1, f: 1, b: 2, p: 1}. What is prob of picking 1 q and 1 a?
2/21
Four letters picked without replacement from {n: 5, q: 2, z: 1, o: 2, u: 4}. What is prob of picking 1 u, 1 n, and 2 q?
20/1001
Two letters picked without replacement from {o: 2, p: 6, l: 2, i: 1, x: 4, c: 2}. What is prob of picking 1 x and 1 o?
1/17
Calculate prob of picking 4 i when four letters picked without replacement from {v: 7, i: 6, p: 4}.
3/476
Four letters picked without replacement from {o: 3, s: 6, p: 1, r: 3, y: 2}. Give prob of picking 2 y and 2 r.
1/455
Three letters picked without replacement from xdxddddd. Give prob of picking 3 d.
5/14
Two letters picked without replacement from dgzppwgwptdwtw. Give prob of picking 1 p and 1 t.
6/91
What is prob of picking 1 z and 3 m when four letters picked without replacement from {x: 1, k: 2, z: 4, o: 3, m: 4}?
16/1001
Calculate prob of picking 1 e and 3 f when four letters picked without replacement from fffevfjfvvx.
1/33
Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {c: 1, y: 1, u: 2, a: 1}.
1/5
Three letters picked without replacement from {n: 2, j: 10, v: 3}. Give prob of picking 2 v and 1 j.
6/91
What is prob of picking 4 v when four letters picked without replacement from {f: 8, d: 5, v: 5}?
1/612
Two letters picked without replacement from nnunnnmne. Give prob of picking 1 u and 1 e.
1/36
Two letters picked without replacement from {w: 1, h: 1, e: 1, i: 2, c: 2, k: 2}. What is prob of picking 1 e and 1 c?
1/18
Two letters picked without replacement from kcccccccfkcfc. Give prob of picking 1 k and 1 f.
2/39
What is prob of picking 3 y and 1 w when four letters picked without replacement from wbwbybybebwwybeybw?
1/153
What is prob of picking 1 p and 1 l when two letters picked without replacement from {c: 1, g: 2, l: 1, p: 1}?
1/10
What is prob of picking 2 c, 1 f, and 1 a when four letters picked without replacement from faaaffaccfff?
8/165
Two letters picked without replacement from {d: 10, l: 10}. What is prob of picking 2 d?
9/38
Calculate prob of picking 1 s, 1 x, and 2 b when four letters picked without replacement from xxbxbxssxbxxbxxxxxb.
20/323
Three letters picked without replacement from {g: 8, l: 3, h: 1, b: 2, s: 1, q: 1}. What is prob of picking 1 h, 1 g, and 1 b?
1/35
What is prob of picking 1 y, 1 k, and 1 j when three letters picked without replacement from kkuejyjjkwkk?
3/44
Three letters picked without replacement from lllffflfllvvllf. What is prob of picking 1 l, 1 v, and 1 f?
16/91
What is prob of picking 1 y, 1 b, 1 s, and 1 v when four letters picked without replacement from {p: 2, b: 2, v: 2, s: 4, x: 3, y: 3}?
12/455
Two letters picked without replacement from krrxrrrrrxrrxrrrr. What is prob of picking 2 x?
3/136
What is prob of picking 3 s when three letters picked without replacement from {s: 4}?
1
Three letters picked without replacement from dndddddnidndddjdyi. Give prob of picking 1 d and 2 i.
11/816
Calculate prob of picking 1 g, 1 q, 1 i, and 1 d when four letters picked without replacement from {q: 4, g: 1, d: 2, i: 9}.
18/455
Two letters picked without replacement from {k: 16, n: 4}. What is prob of picking 2 k?
12/19
Two letters picked without replacement from {e: 3, c: 4, i: 6}. What is prob of picking 2 c?
1/13
What is prob of picking 1 u and 1 t when two letters picked without replacement from yotuytytsteuyyueuytu?
5/38
Four letters picked without replacement from {m: 2, y: 4, n: 4}. What is prob of picking 4 y?
1/210
What is prob of picking 2 u and 2 l when four letters picked without replacement from {l: 3, u: 7}?
3/10
Two letters picked without replacement from hfhhddhfhdhffhfhd. What is prob of picking 2 f?
5/68
Four letters picked without replacement from kwkkkwkbwkbt. What is prob of picking 1 t, 1 k, and 2 b?
2/165
Calculate prob of picking 1 a, 1 v, and 1 l when three letters picked without replacement from {j: 2, o: 6, v: 3, a: 5, q: 1, l: 2}.
10/323
Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {j: 6, w: 4, t: 4}.
16/91
Four letters picked without replacement from {z: 2, a: 1, f: 5, c: 8, x: 3, n: 1}. What is prob of picking 1 a, 2 c, and 1 x?
28/1615
Three letters picked without replacement from {l: 3, j: 2, a: 2, v: 3, w: 3}. What is prob of picking 1 w, 1 a, and 1 j?
6/143
What is prob of picking 1 z, 1 w, and 1 n when three letters picked without replacement from {n: 5, z: 5, w: 1}?
5/33
Three letters picked without replacement from {m: 1, k: 4, z: 1, c: 2, i: 2}. What is prob of picking 1 m, 1 c, and 1 k?
1/15
What is prob of picking 2 e when two letters picked without replacement from {s: 10, e: 2}?
1/66
Calculate prob of picking 1 z and 2 x when three letters picked without replacement from zxxxxzrxxxxxxxz.
33/91
Two letters picked without replacement from {v: 2, q: 1}. Give prob of picking 2 v.
1/3
Calculate prob of picking 3 q and 1 d when four letters picked without replacement from qqqqqqqdqdqqqqqqqqq.
20/57
Calculate prob of picking 1 i and 2 o when three letters picked without replacement from oqqoiiiioqoiqii.
6/65
Three letters picked without replacement from zagyzzazzzzzzzz. Give prob of picking 1 z, 1 g, and 1 y.
11/455
Two letters picked without replacement from {n: 3, q: 1, v: 2, b: 1}. Give prob of picking 1 v and 1 n.
2/7
Two letters picked without replacement from {d: 8, a: 8, c: 2}. What is prob of picking 2 d?
28/153
Four letters picked without replacement from {h: 10, v: 10}. Give prob of picking 4 v.
14/323
Calculate prob of picking 1 o and 1 a when two letters picked without replacement from aemomddddd.
1/45
Two letters picked without replacement from haahaftaafaaafagtgg. Give prob of picking 2 f.
1/57
Two letters picked without replacement from qhqeqeeweeeaeeeqqw. Give prob of picking 2 q.
10/153
What is prob of picking 1 o and 1 f when two letters picked without replacement from {f: 8, o: 2, x: 5}?
16/105
Two letters picked without replacement from npnnnnpnppnnnn. What is prob of picking 1 n and 1 p?
40/91
Calculate prob of picking 1 u, 1 p, and 1 d when three letters picked without replacement from {p: 1, u: 1, d: 11}.
1/26
Two letters picked without replacement from {k: 4, s: 6, d: 1}. What is prob of picking 1 d and 1 k?
4/55
Two letters picked without replacement from {f: 7, q: 2, s: 2}. What is prob of picking 2 f?
21/55
Four letters picked without replacement from {x: 2, d: 5}. Give prob of picking 1 x and 3 d.
4/7
Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {d: 2, g: 2, b: 11, q: 5}.
11/38
What is prob of picking 1 l and 2 i when three letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
om mbbmbdmaabkkmakbkdk. What is prob of picking 1 a, 2 k, and 1 m?
10/323
Two letters picked without replacement from yyvx. Give prob of picking 1 y and 1 x.
1/3
Two letters picked without replacement from {g: 5, l: 1, y: 4, x: 2, f: 2}. What is prob of picking 1 x and 1 y?
8/91
Calculate prob of picking 2 e, 1 w, and 1 x when four letters picked without replacement from wwewwxee.
6/35
What is prob of picking 3 q and 1 o when four letters picked without replacement from oqoqoqooooo?
4/165
Calculate prob of picking 4 j when four letters picked without replacement from {j: 5}.
1
What is prob of picking 3 o when three letters picked without replacement from ajajjojbjajjjjbooj?
1/816
Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {q: 3, x: 9}.
1/55
Calculate prob of picking 2 h when two letters picked without replacement from ssvsshvbbhnmns.
1/91
Four letters picked without replacement from {e: 2, b: 1, o: 7, j: 7, f: 1}. What is prob of picking 2 e and 2 o?
7/1020
Four letters picked without replacement from {e: 9}. Give prob of picking 4 e.
1
Calculate prob of picking 1 g and 3 r when four letters picked without replacement from {j: 2, g: 2, r: 11}.
22/91
Two letters picked without replacement from sxytmmtw. What is prob of picking 1 x and 1 t?
1/14
What is prob of picking 1 t and 1 k when two letters picked without replacement from {t: 2, c: 2, j: 1, k: 1, z: 12, u: 2}?
1/95
What is prob of picking 2 i and 2 b when four letters picked without replacement from iiiibibiiiiii?
1/13
Three letters picked without replacement from ukukkkukkkuukk. Give prob of picking 3 u.
5/182
Three letters picked without replacement from {l: 3, q: 5, f: 2, v: 4, e: 5}. What is prob of picking 2 e and 1 l?
10/323
Four letters picked without replacement from {e: 17, y: 3}. What is prob of picking 3 y and 1 e?
1/285
Calculate prob of picking 2 t when two letters picked without replacement from tttototo.
5/14
Four letters picked without replacement from {k: 6, m: 13}. Give prob of picking 4 k.
5/1292
Four letters picked without replacement from sssssyyssssysyys. Give prob of picking 2 s and 2 y.
55/182
Calculate prob of picking 2 r when two letters picked without replacement from {r: 5, p: 5}.
2/9
Two letters picked without replacement from gaagaa. What is prob of picking 1 g and 1 a?
8/15
Calculate prob of picking 1 x, 1 m, and 1 v when three letters picked without replacement from vmxmmmmmxbbmmmmm.
11/280
Calculate prob of picking 3 z and 1 p when four letters picked without replacement from zpepzpezpppzezezeep.
35/969
Two letters picked without replacement from qzzzzzzqz. What is prob of picking 1 q and 1 z?
7/18
Calculate prob of picking 1 e and 1 x when two letters picked without replacement from ueuxxxuxuuuxxexexexx.
4/19
Three letters picked without replacement from {e: 2, l: 5}. What is prob of picking 1 l and 2 e?
1/7
Calculate prob of picking 1 y and 2 v when three letters picked without replacement from {y: 2, v: 3}.
3/5
Three letters picked without replacement from lullulllllluluul. Give prob of picking 3 u.
1/56
Two letters picked without replacement from {i: 2, a: 4}. What is prob of picking 2 i?
1/15
Calculate prob of picking 2 f when two letters picked without replacement from {l: 1, a: 4, e: 8, u: 3, f: 3}.
1/57
What is prob of picking 1 e and 1 v when two letters picked without replacement from {m: 2, e: 5, v: 6}?
5/13
Two letters picked without replacement from llllqqlllll. What is prob of picking 1 q and 1 l?
18/55
Three letters picked without replacement from {s: 2, d: 7}. Give prob of picking 2 d and 1 s.
1/2
Two letters picked without replacement from {h: 4, w: 1, d: 2}. Give prob of picking 1 w and 1 h.
4/21
What is prob of picking 2 c when two letters picked without replacement from ckkcjkkccccjckckc?
9/34
Calculate prob of picking 2 b, 1 w, and 1 l when four letters picked without replacement from wbwwwwwbwwlbwb.
54/1001
Three letters picked without replacement from dvhvdddvvd. Give prob of picking 3 d.
1/12
Two letters picked without replacement from fkpfmfiiipf. Give prob of picking 2 f.
6/55
Calculate prob of picking 1 c, 1 s, and 2 v when four letters picked without replacement from cxsvvcccc.
5/126
Three letters picked without replacement from {g: 11, d: 5, o: 1}. What is prob of picking 1 o and 2 g?
11/136
Four letters picked without replacement from {z: 1, j: 3, p: 1, s: 5, m: 5}. What is prob of picking 2 s, 1 m, and 1 j?
10/91
What is prob of picking 3 a when three letters picked without replacement from {b: 3, a: 7}?
7/24
Two letters picked without replacement from qvxtn. What is prob of picking 1 x and 1 v?
1/10
Three letters picked without replacement from sssdddddsdsddqsdddss. What is prob of picking 3 d?
11/76
Three letters picked without replacement from knggggcgsgsnsgkrnns. Give prob of picking 1 r and 2 s.
2/323
Three letters picked without replacement from {m: 1, w: 1, x: 2}. Give prob of picking 2 x and 1 m.
1/4
Two letters picked without replacement from {w: 7, a: 4}. Give prob of picking 1 w and 1 a.
28/55
Three letters picked without replacement from ljjjfjyl. What is prob of picking 2 f and 1 l?
0
What is prob of picking 1 y and 1 h when two letters picked without replacement from {u: 4, y: 5, h: 1, z: 1, m: 1, g: 1}?
5/78
What is prob of picking 4 g when four letters picked without replacement from {i: 3, g: 7}?
1/6
Three letters picked without replacement from {i: 1, t: 1, b: 5, z: 5}. Give prob of picking 3 b.
1/22
What is prob of picking 1 y and 2 f when three letters picked without replacement from eyfsef?
1/20
Three letters picked without replacement from hcqchoh. What is prob of picking 1 q and 2 h?
3/35
What is prob of picking 2 y when two letters picked without replacement from yyywwyyyyyy?
36/55
Four letters picked without replacement from iiiiiiriiiriiiiriiii. Give prob of picking 3 r and 1 i.
1/285
Three letters picked without replacement from {g: 3, u: 13, n: 1}. What is prob of picking 2 u and 1 n?
39/340
Three letters picked without replacement from {q: 3, z: 3, a: 2}. What is prob of picking 2 q and 1 a?
3/28
What is prob of picking 1 s and 1 d when two letters picked without replacement from dsddddssssds?
6/11
Four letters picked without replacement from yykkkorckbrkrrrbkr. What is prob of picking 1 y, 2 k, and 1 c?
1/102
Three letters picked without replacement from ututntutn. What is prob of picking 1 u and 2 n?
1/28
Calculate prob of picking 3 e when three letters picked without replacement from iieeiegiiigie.
2/143
Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {e: 2, f: 2, a: 1, m: 1, y: 2}.
1/7
What is prob of picking 1 i, 2 k, and 1 y when four letters picked without replacement from {y: 5, q: 1, i: 5, t: 4, h: 2, k: 3}?
5/323
Calculate prob of picking 2 d when two letters picked without replacement from dddd.
1
Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, f: 3}.
2/7
What is prob of picking 4 p when four letters picked without replacement from bpbbpbppjbjj?
1/495
Three letters picked without replacement from ubnetxn. What is prob of picking 1 e, 1 b, and 1 n?
2/35
Two letters picked without replacement from {v: 2, f: 4, t: 1, u: 1, x: 2, y: 2}. What is prob of picking 1 t and 1 x?
1/33
Three letters picked without replacement from {j: 4, m: 1, f: 9, a: 1}. What is prob of picking 1 m and 2 j?
6/455
Two letters picked without replacement from azdjj. Give prob of picking 1 d and 1 j.
1/5
Calculate prob of picking 2 p, 1 z, and 1 x when four letters picked without replacement from {p: 3, x: 2, h: 1, z: 1}.
6/35
Two letters picked without replacement from {d: 1, a: 1, i: 1, j: 2}. Give prob of picking 2 j.
1/10
Three letters picked without replacement from zzezzezzezzzzzezee. Give prob of picking 3 e.
5/204
Three letters picked without replacement from hhhhhhhththhh. Give prob of picking 3 h.
15/26
Four letters picked without replacement from rerer. Give prob of picking 1 e and 3 r.
2/5
Four letters picked without replacement from {w: 4, p: 1, r: 1, e: 2, l: 1}. What is prob of picking 2 e, 1 l, and 1 w?
2/63
Calculate prob of picking 1 o, 1 h, and 1 v when three letters picked
|
{
"pile_set_name": "DM Mathematics"
}
|
118329, -20118331, -20118331, -20118329, -20118325, -20118319, -20118311?
v**2 - 5*v - 20118325
What is the u'th term of 12584, 27436, 42288, 57140, 71992?
14852*u - 2268
What is the n'th term of -95684, -95952, -96396, -97016, -97812, -98784?
-88*n**2 - 4*n - 95592
What is the k'th term of -749, -1777, -3465, -6143, -10141?
-55*k**3 - 643*k - 51
What is the g'th term of 553696, 553666, 553634, 553600?
-g**2 - 27*g + 553724
What is the f'th term of -842964, -1686514, -2530064, -3373614, -4217164, -5060714?
-843550*f + 586
What is the l'th term of -5108581, -5108585, -5108589?
-4*l - 5108577
What is the x'th term of -415936168, -415936169, -415936170?
-x - 415936167
What is the y'th term of -57096927, -114193856, -171290785?
-57096929*y + 2
What is the o'th term of -11466, -22857, -34176, -45423, -56598, -67701?
36*o**2 - 11499*o - 3
What is the b'th term of 10171, 17370, 29373, 46180, 67791, 94206, 125425?
2402*b**2 - 7*b + 7776
What is the m'th term of 37804, 150923, 339362, 603121, 942200, 1356599, 1846318?
37660*m**2 + 139*m + 5
What is the h'th term of -19062337, -19062334, -19062331, -19062328?
3*h - 19062340
What is the r'th term of 59854, 120222, 180590, 240958?
60368*r - 514
What is the m'th term of 84027921, 168055838, 252083757, 336111678?
m**2 + 84027914*m + 6
What is the m'th term of 149280, 149287, 149318, 149385, 149500, 149675, 149922, 150253?
2*m**3 - 7*m + 149285
What is the y'th term of -3461836, -3461833, -3461830?
3*y - 3461839
What is the j'th term of 44501, 177937, 400303, 711593, 1111801, 1600921, 2178947, 2845873?
-j**3 + 44471*j**2 + 30*j + 1
What is the s'th term of -2210, -9119, -20598, -36647, -57266?
-2285*s**2 - 54*s + 129
What is the n'th term of -2067, -1713, -1231, -621, 117?
64*n**2 + 162*n - 2293
What is the o'th term of -10691, -42665, -95941, -170519?
-10651*o**2 - 21*o - 19
What is the y'th term of -1082874, -2165264, -3247654?
-1082390*y - 484
What is the p'th term of 78824, 157106, 235390, 313676, 391964, 470254?
p**2 + 78279*p + 544
What is the l'th term of 100, 483, 1422, 3193, 6072, 10335, 16258?
46*l**3 + 2*l**2 + 55*l - 3
What is the j'th term of 107932088, 107932090, 107932092, 107932094, 107932096, 107932098?
2*j + 107932086
What is the i'th term of 875, -381, -1635, -2887?
i**2 - 1259*i + 2133
What is the q'th term of 25003, 50378, 75753, 101128, 126503, 151878?
25375*q - 372
What is the h'th term of -7644680, -30578700, -68802068, -122314784, -191116848, -275208260?
-7644674*h**2 + 2*h - 8
What is the d'th term of -315098572, -630197143, -945295714, -1260394285, -1575492856?
-315098571*d - 1
What is the m'th term of -420617, -420575, -420545, -420533, -420545, -420587?
-m**3 + 49*m - 420665
What is the g'th term of 12062, 24055, 35978, 47837, 59638, 71387?
g**3 - 41*g**2 + 12109*g - 7
What is the g'th term of -44105, -79214, -114323, -149432, -184541?
-35109*g - 8996
What is the m'th term of -10009, -28921, -47833?
-18912*m + 8903
What is the p'th term of 25999, 48618, 71237, 93856, 116475?
22619*p + 3380
What is the j'th term of 43616, 174558, 392820, 698396, 1091280, 1571466, 2138948, 2793720?
-j**3 + 43666*j**2 - 49*j
What is the p'th term of 41669, 41669, 41661, 41639, 41597?
-p**3 + 2*p**2 + p + 41667
What is the w'th term of 4102201, 8204326, 12306451, 16408576, 20510701, 24612826?
4102125*w + 76
What is the v'th term of 488, 2072, 4732, 8480, 13328, 19288, 26372, 34592?
2*v**3 + 526*v**2 - 8*v - 32
What is the c'th term of 72840, 122580, 172320?
49740*c + 23100
What is the s'th term of -70889, -283549, -637983, -1134191?
-70887*s**2 + s - 3
What is the u'th term of 53313174, 106626345, 159939516, 213252687, 266565858, 319879029?
53313171*u + 3
What is the y'th term of -44797, -179417, -403789, -717919, -1121813, -1615477, -2198917?
-y**3 - 44870*y**2 - 3*y + 77
What is the h'th term of -49752, -198553, -446406, -793305, -1239244, -1784217?
h**3 - 49532*h**2 - 212*h - 9
What is the a'th term of -999, -3537, -7653, -13341, -20595, -29409, -39777?
a**3 - 795*a**2 - 160*a - 45
What is the x'th term of -752, -2914, -6226, -10460, -15388, -20782, -26414, -32056?
38*x**3 - 803*x**2 - 19*x + 32
What is the i'th term of 567679, 2270728, 5109143, 9082924?
567683*i**2 - 4
What is the g'th term of 496, 115, -528, -1439, -2624?
-g**3 - 125*g**2 + g + 621
What is the i'th term of 909394, 909392, 909390, 909388, 909386?
-2*i + 909396
What is the c'th term of -760041, -3040176, -6840409, -12160740, -19001169?
-760049*c**2 + 12*c - 4
What is the x'th term of 136406, 274042, 411678, 549314?
137636*x - 1230
What is the s'th term of -91025, -91157, -91369, -91655, -92009, -92425, -92897, -93419?
s**3 - 46*s**2 - s - 90979
What is the m'th term of 1862, 2453, 3406, 4727, 6422, 8497, 10958, 13811?
m**3 + 175*m**2 + 59*m + 1627
What is the k'th term of 2185, 2866, 3477, 3982, 4345?
-6*k**3 + k**2 + 720*k + 1470
What is the z'th term of -362, -444, -498, -500, -426, -252, 46, 492?
4*z**3 - 10*z**2 - 80*z - 276
What is the x'th term of -1012522, -1012516, -1012506, -1012492, -1012474, -1012452, -1012426?
2*x**2 - 1012524
What is the g'th term of -4333, -17302, -38919, -69190, -108121, -155718?
-g**3 - 4318*g**2 - 8*g - 6
What is the y'th term of -1127, 1135, 3397?
2262*y - 3389
What is the s'th term of -4699, -4372, -4045, -3718, -3391, -3064?
327*s - 5026
What is the x'th term of 396901, 396890, 396859, 396802, 396713, 396586, 396415?
-x**3 - 4*x**2 + 8*x + 396898
What is the a'th term of 934, 5062, 16330, 38308, 74566?
595*a**3 - 37*a + 376
What is the c'th term of 24616237, 24616201, 24616165?
-36*c + 24616273
What is the p'th term of 167359, 334734, 502109?
167375*p - 16
What is the c'th term of -1965, -4031, -6207, -8493?
-55*c**2 - 1901*c - 9
What is the n'th term of 14600537, 58402148, 131404835, 233608598?
14600538*n**2 - 3*n + 2
What is the s'th term of -5725, -5252, -4467, -3370, -1961, -240, 1793?
156*s**2 + 5*s - 5886
What is the g'th term of 1383, 103, -2031, -5019, -8861?
-427*g**2 + g + 1809
What is the s'th term of -253061, -253107, -253237, -253493, -253917, -254551, -255437, -256617?
-7*s**3 + 3*s - 253057
What is the t'th term of 1110859, 2221658, 3332453, 4443244, 5554031?
-2*t**2 + 1110805*t + 56
What is the f'th term of 119104553, 119104554, 119104555, 119104556, 119104557?
f + 119104552
What is the n'th term of -300682500, -300682501, -300682502, -300682503, -300682504?
-n - 300682499
What is the i'th term of 13814806, 13814807, 13814808, 13814809, 13814810, 13814811?
i + 13814805
What is the j'th term of 5007, 6427, 7847, 9267, 10687, 12107?
1420*j + 3587
What is the r'th term of -653, -1016, 43, 3886, 11875, 25372, 45739, 74338?
227*r**3 - 651*r**2 + r - 230
What is the g'th term of 91827, 91884, 92029, 92304, 92751, 93412, 94329?
7*g**3 + 2*g**2 + 2*g + 91816
What is the d'th term of 34486, 41048, 47610, 54172, 60734, 67296?
6562*d + 27924
What is the i'th term of 1659333704, 1659333703, 1659333702, 1659333701?
-i + 1659333705
What is the m'th term of 246884, 495444, 744004, 992564, 1241124?
248560*m - 1676
What is the p'th term of 16781, 40944, 72497, 111446, 157797, 211556, 272729?
p**3 + 3689*p**2 + 13089*p + 2
What is the o'th term of -829575, -3318203, -7465883, -13272615, -20738399?
-829526*o**2 - 50*o + 1
What is the u'th term of 11714162, 23428365, 35142568, 46856771, 58570974, 70285177?
11714203*u - 41
What is the j'th term of 37650, 75476, 113480, 151662, 190022, 228560?
89*j**2 + 37559*j + 2
What is the z'th term of 169496, 338939, 508382, 677825, 847268, 1016711?
169443*z + 53
What is the c'th term of -15620, -16048, -16512, -17006, -17524, -18060, -18608, -19162?
c**3 - 24*c**2 - 363*c - 15234
What is the h'th term of 62805661, 62805660, 62805659, 62805658, 62805657, 62805656?
-h + 62805662
What is the m'th term of -224, 737, 3318, 8317, 16532?
133*m**3 + 12*m**2 - 6*m - 363
What is the r'th term of -238794, -238781, -238768?
13*r - 238807
What is the s'th term of 13643, 25369, 37093, 48821, 60559, 72313, 84089?
s**3 - 7*s**2 + 11740*s + 1909
What is the v'th term of 20431, 80225, 179873, 319369, 498707, 717881, 976885, 1275713?
-v**3 + 19933*v**2 + 2*v + 497
What is the p'th term of -33408, -32769, -31702, -30207, -28284, -25933, -23154?
214*p**2 - 3*p - 33619
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
h respect to f.
-3
Suppose -21 = 3*z - 30. Let m(f) be the third derivative of 1/20*f**5 + 0*f**4 + 0 - 3*f**2 + 0*f + 2/3*f**z. Find the first derivative of m(r) wrt r.
6*r
What is the third derivative of -2*r**4 + r**2 + 4*r**2 + r**4 wrt r?
-24*r
Let k(f) = 8*f**5 + 2*f**4 + 5*f**2 + 2*f + 2. Let m(r) = -r**5 + r**4 - r**2 + r + 1. Let s(v) = k(v) - 2*m(v). Find the third derivative of s(h) wrt h.
600*h**2
Let m = -3 - -5. Let x(y) = -4*y - 18. Let w be x(-5). What is the third derivative of -5*c**m + 4*c**w + 2*c**3 - 4*c**3 wrt c?
-12
Let x = 4/107 - 133/6420. Let c(q) be the third derivative of 0 + 0*q + 0*q**3 - x*q**6 - 3*q**2 + 0*q**5 + 1/12*q**4. Find the second derivative of c(z) wrt z.
-12*z
Find the third derivative of -4*r**2 - 6 - 6*r**3 + 6 wrt r.
-36
Let d(o) be the second derivative of 5*o**6/6 - o**4/6 + o**3/6 - 25*o**2/2 + o + 14. Find the second derivative of d(s) wrt s.
300*s**2 - 4
Suppose 9*u - 12*u + 75 = 0. Find the third derivative of -4*k**3 - 25 + u - 6*k**2 wrt k.
-24
Find the third derivative of -91*l**3 - 16*l**6 + 91*l**3 - 28*l**2 wrt l.
-1920*l**3
Let g(v) be the third derivative of -v**9/168 - v**5/20 + 2*v**2. Find the third derivative of g(x) wrt x.
-360*x**3
Let b(o) be the first derivative of -o**5/60 + o**4/12 + o**2 + 1. Let r(h) be the second derivative of b(h). What is the second derivative of r(y) wrt y?
-2
What is the first derivative of 6 + 133*a + 15*a**4 - 133*a wrt a?
60*a**3
Let h(p) = 2*p - 1. Let m(c) = -c. Let u(b) = 2*h(b) + 3*m(b). Let x(k) = -k + 2. Let j(t) = 2*u(t) + 3*x(t). What is the first derivative of j(d) wrt d?
-1
What is the derivative of -6 - 4*p - p + 2 wrt p?
-5
Let q(p) = 4*p**3 - 3*p**2 + 3*p - 4. Let l(o) = 4*o**3 - 4*o**2 + 4*o - 3. Let h(r) = -3*l(r) + 4*q(r). What is the first derivative of h(d) wrt d?
12*d**2
Find the second derivative of -28*z - 24*z**3 + 53*z**3 - 19*z wrt z.
174*z
Let p(t) be the first derivative of t**6/60 - t**3/6 - t**2/2 + 1. Let x(o) be the second derivative of p(o). Differentiate x(i) wrt i.
6*i**2
Let r(m) = -m - 1. Let l(p) = -7*p - 10. Let y be (-3 - -1) + 1 + 2. Let u(g) = y*l(g) - 6*r(g). Differentiate u(h) with respect to h.
-1
Let q = 10 + -4. Find the third derivative of -x**2 + 4*x**q + 5*x**6 - 13*x**6 wrt x.
-480*x**3
Differentiate 4 - 7*o + 4*o + o wrt o.
-2
Let y(m) be the second derivative of -m**5/10 - m**3/2 + 3*m. Find the second derivative of y(k) wrt k.
-12*k
Let x = 3 - 1. Let o = 0 + x. Find the second derivative of t**2 - 3*t + t - o*t**2 wrt t.
-2
Let u(k) = -k**3 + k**2 + k + 2. Let q be u(2). Suppose 0 = 2*h - 4 - 0. What is the second derivative of -f - f - 2*f**2 + q*f**h wrt f?
-4
Let n be ((-32)/(-12))/(14/21). Let c(q) = 3*q. Let y be c(1). Find the third derivative of r**3 - r**y - r**2 + n*r**5 wrt r.
240*r**2
Let y(p) be the first derivative of -7*p**2 + 2*p + 10. Find the first derivative of y(n) wrt n.
-14
Suppose -4*o + 4*u = -4, o - 2*u = -2*o + 4. Differentiate -7*a**2 + 5 - 1 + 8*a**o wrt a.
2*a
Let y(p) be the third derivative of p**9/60480 + p**8/6720 - p**5/30 - p**2. Let m(u) be the third derivative of y(u). Find the third derivative of m(b) wrt b.
6
Let u(k) be the third derivative of -5*k**4/8 - 3*k**3 - k**2. What is the first derivative of u(r) wrt r?
-15
Let f(o) = o**3 + 4*o**2 - 2*o - 2. Let i be f(-3). What is the third derivative of -2*c**2 + 19*c**3 + i*c**3 - 29*c**3 wrt c?
18
Suppose 9*x = 7*x. Let c(w) be the first derivative of -2 + 0*w**3 - 1/2*w**4 + x*w**2 - w. What is the first derivative of c(d) wrt d?
-6*d**2
Let s(x) = 4*x**2 + 7*x. Let y(p) be the third derivative of p**5/20 + 7*p**4/24 + p**2. Let n(r) = 6*s(r) - 7*y(r). Find the second derivative of n(k) wrt k.
6
Let h(w) be the second derivative of -4*w**5/5 - 4*w**3/3 + 14*w. Find the second derivative of h(k) wrt k.
-96*k
Suppose -8*c + 2 + 14 = 0. Let a(x) be the first derivative of -1/2*x**c + 2*x + 2. What is the derivative of a(k) wrt k?
-1
Suppose -4*s - 4 + 16 = 0. Suppose s*m = 2*m. What is the derivative of -2*f**3 + m - 1 + 0*f**3 wrt f?
-6*f**2
Let f(l) be the first derivative of 5*l**6/6 + 5*l**3/3 + 5. Find the third derivative of f(h) wrt h.
300*h**2
Suppose 0*p = 2*p - 4. Find the third derivative of -5*t + t + 2*t**p + 4*t + 5*t**5 wrt t.
300*t**2
Let r(g) be the third derivative of -g**7/840 + g**6/72 - 4*g**3/3 + 3*g**2. Let p(i) be the first derivative of r(i). Find the third derivative of p(z) wrt z.
-6
Let s(q) be the second derivative of 0*q**2 + 1/3*q**3 + 1/10*q**5 + 0 + q + 0*q**4. What is the second derivative of s(i) wrt i?
12*i
Suppose -4*n + 8 = -3*s + 4*s, -24 = -3*s - 2*n. Suppose 4*g + 0 = s. Find the second derivative of -4*r**g - 4*r + r**2 + r wrt r.
-6
Let b(c) = c**2 + 7*c + 7. Let v be b(-7). Let a(h) = h**3 - 8*h**2 + 8*h - 5. Let r be a(v). Differentiate 4*k**r - k**2 - 1 - 2*k**2 wrt k.
2*k
Let g(i) = 57*i**4 - 53*i**2 - 2*i. Let s(r) = -29*r**4 + 27*r**2 + r. Let y(b) = -2*g(b) - 5*s(b). Find the third derivative of y(x) wrt x.
744*x
Let l = -1 + 3. Suppose 2*i = -2*i + 8. What is the second derivative of -g**i - 8*g - 2 + l + 6*g wrt g?
-2
What is the third derivative of u**2 + 0*u**2 - 4*u**2 - 12*u**6 + 15*u**6 wrt u?
360*u**3
Let f(x) be the first derivative of x**8/336 + x**4/12 - 3*x**2 + 6. Let h(l) be the second derivative of f(l). Find the second derivative of h(r) wrt r.
20*r**3
What is the third derivative of -183*a**5 + 183*a**5 - 10*a**2 + 4*a**6 wrt a?
480*a**3
Let i(l) be the third derivative of 4*l**2 + 0*l + 0*l**6 + 0*l**5 + 0*l**3 - 1/210*l**7 + 1/8*l**4 + 0. What is the second derivative of i(m) wrt m?
-12*m**2
Let z = -17 + 25. Differentiate -6 + 4 + 6*u**2 + z + 3 with respect to u.
12*u
Let x = 6 - 12. Let r(g) = 4*g + 3. Let w(h) = h - 5 + 3 + 4*h + 5. Let k(j) = x*r(j) + 5*w(j). What is the first derivative of k(p) wrt p?
1
What is the second derivative of -2*c**3 + 12*c - 7*c + 6*c**3 wrt c?
24*c
Let i = -11 + 14. What is the second derivative of -5*z - i*z**3 - 5*z + 14*z wrt z?
-18*z
Let m(u) = -u**3 - 11*u**2 + 11*u + 10. Let t be 11/(3/2 - 2). Let n(y) = y**2 - y - 1. Let c(f) = t*n(f) - 2*m(f). Differentiate c(l) with respect to l.
6*l**2
Let c(m) = m**2. Let d be c(-2). Find the third derivative of -3*s**4 - 3*s**d + 4*s**4 + s**2 wrt s.
-48*s
Let b(z) = 2*z**2 - 1. Let s be b(-1). Let t(c) = -c + 1. Let q(m) = 5*m - 3. Let y(u) = s*q(u) + 6*t(u). Differentiate y(a) with respect to a.
-1
Let a = 44 + -42. Let k(d) be the first derivative of 2 + a*d - 3/2*d**2. What is the derivative of k(p) wrt p?
-3
Let x(g) be the third derivative of -g**6/15 + g**3/3 + 12*g**2. Differentiate x(h) wrt h.
-24*h**2
What is the third derivative of 9*u**2 + 4*u**5 - 3*u**2 - u**2 + 5*u**2 wrt u?
240*u**2
Let a(p) be the second derivative of 0*p**3 + 0*p**5 - 1/12*p**4 + 0*p**6 + 0*p**2 - 3*p - 1/42*p**7 + 0. What is the third derivative of a(v) wrt v?
-60*v**2
Let x(m) = -3*m**4 + 2*m**3 - m**2 + 2*m. Let l(r) = -r + 0*r**2 - r**2 - r**3 + r - r. Let p(g) = 2*l(g) + x(g). Find the third derivative of p(v) wrt v.
-72*v
Suppose 0 = h + 5*x + 6 - 19, -4*h + 2 = -5*x. Let t = 5 - h. What is the third derivative of 3*d**t - d**4 + 2*d**4 - 5*d**2 wrt d?
24*d
Let p(l) be the second derivative of 5*l**4/3 + 7*l**3/2 - 34*l. What is the second derivative of p(w) wrt w?
40
Let k(n) = 6*n**4 + 2*n**2 - 1. Let q(h) = -7*h**4 - 3*h**2 + 2. Let b(m) = 3*k(m) + 2*q(m). Differentiate b(r) wrt r.
16*r**3
Suppose 0*i - 7 = 4*i - 3*s, 4*i + 17 = 5*s. Find the third derivative of 4*x**4 + 6*x**i - 3*x**2 - 5*x**4 wrt x.
-24*x
Let i(s) = -s**5 + 7*s**3 - 15*s + 7. Let f(n) = n**5 - 6*n**3 + 15*n - 6. Let t(k) = -7*f(k) - 6*i(k). Find the second derivative of t(z) wrt z.
-20*z**3
Let t(j) = j**2 + 8*j + 9. Let y be t(-7). What is the derivative of 7*d**y - 2 - 4*d**4 - 7*d**2 wrt d?
-16*d**3
Let i = 0 - 1. Let h(m) = -9*m**3 + 2*m**2 - 1. Let u be h(i). Find the second derivative of u + a - 10 + 2*a**2 wrt a.
4
Suppose 2*n - 2*r - 4 = 0, 3*n + 3*r = 7*n - 9. Find the second derivative of -n*c**2 - 2*c**3 + 4*c - 4*c**2 + 7*c**2 wrt c.
-12*c
Let h = -10 + 20. Suppose -m - m + h = 0. Differentiate 2*x**2 + 4 - 1 - m*x**2 wrt x.
-6*x
Find the second derivative of 10*b - b + 4*b**2 + 3*b**
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 4*d + 3 = 3*x - 3, d = 5*x - 10. Suppose 4*g + 23 = w, d = -w - 0*g - g + 43. What is the highest common divisor of w and l?
13
Let g(j) = 3*j - 5. Let b be g(4). Suppose 3*l - 32 = b. Suppose 0*t + 3*t = 117. Calculate the greatest common divisor of l and t.
13
Let h(i) = i**3 - 2*i**2 + 3*i - 2. Let m be h(5). Calculate the greatest common factor of m and 11.
11
Let q be 7/35 - 9/(-5). Let k be q/1*(-39)/(-6). What is the greatest common factor of 65 and k?
13
Suppose -69*q = -74*q + 80. What is the greatest common divisor of q and 80?
16
Suppose -2*m + 3*m = -3*y + 107, -25 = -5*m. Suppose -4*p - r + 131 = 0, -5*r + 7 = -5*p + 202. What is the greatest common divisor of y and p?
34
Let h(i) = i**2 + 6. Let c be h(0). Calculate the greatest common divisor of 15 and c.
3
Let b(c) = -c**3 - 6*c**2 - 10*c - 5. Let n be b(-7). Let m = n + 21. Calculate the greatest common divisor of m and 15.
15
Let d be (-4)/(-3) - (-11)/(-33). What is the highest common divisor of 11 and d?
1
Let l(z) = 6*z**2 - 10 - z**2 - 12*z - 6*z**2. Let p be l(-10). What is the highest common divisor of 5 and p?
5
Suppose -n + 13 = 5*i - 10, 3*i - 33 = -3*n. Let v(u) = -u**3 + 9*u**2 - 7*u - 5. Let x be v(n). Calculate the highest common divisor of 30 and x.
3
Suppose -5*f + 3*a + 117 = 0, -4*f + 76 = 5*a + 12. What is the greatest common factor of 3 and f?
3
Suppose -4*g + 10 = -3*g. Let t(s) = 10 + g - s - 5. Let l be t(8). What is the highest common factor of l and 7?
7
Let r be (-2 - -14)/(12/8). Let u(t) = 32*t. Let h be u(4). Suppose -3*p = p - h. Calculate the greatest common divisor of r and p.
8
Let q(g) = g**2 - 8*g + 3. Let j be q(3). Let y = j - -21. What is the highest common divisor of 45 and y?
9
Let f = -28 - -56. What is the highest common divisor of f and 70?
14
Let t(h) = -h**3 - 21*h**2 - 19*h + 29. Let w be t(-20). What is the greatest common factor of 153 and w?
9
Let h(u) = 2*u**3 + 18*u**2 + 10. Let o be h(-9). Suppose 0 = -2*f - 5*k + 85, 76 + 49 = 3*f + 5*k. Calculate the greatest common factor of f and o.
10
Let z = 56 - 24. Let o(q) = -8*q + 44. Let c be o(5). Calculate the greatest common divisor of c and z.
4
Let c be (-32)/(-6) - (-2)/(-6). Suppose -4*q = -4*a + 172, -2*a + 55 = -a + c*q. Calculate the highest common factor of a and 30.
15
Let v be ((-10)/(-3))/((-8)/(-12)). Suppose -v*q + 151 = -189. What is the highest common divisor of q and 17?
17
Let k = -57 + 103. Calculate the greatest common factor of 69 and k.
23
Let g = 16 - 6. Let c be (-7 + g)/(2/6). Calculate the greatest common factor of c and 99.
9
Let p(f) = f**2 - 9*f - 34. Let b be p(13). Calculate the highest common divisor of b and 9.
9
Suppose -9 = 4*h + 7. Let w be (0 + (-35)/4)*h. Calculate the highest common divisor of w and 14.
7
Let w = -170 - -242. Let m be 2 + 1*-2 + 0. Suppose 7*z - 4*z - 27 = m. Calculate the highest common factor of z and w.
9
Suppose -q + 0*q = 4*h - 34, -4*q + 51 = -h. Calculate the highest common divisor of q and 154.
14
Let m(d) = d. Let z(n) = -2*n. Let j(y) = 14*m(y) + 6*z(y). Let f be j(5). Suppose 0 = -i, s - 5*s + 40 = i. Calculate the highest common divisor of s and f.
10
Suppose -3*h + 2*h = 4*y - 13, 0 = 4*h - 5*y - 73. Let q be ((-2 - -2) + 0)/2. Suppose 5*i - 3 - h = q. Calculate the greatest common factor of 12 and i.
4
Let m be 4 + ((-2)/(-2) - 1). Let k = 26 + -22. Calculate the greatest common divisor of m and k.
4
Let h be (129/4)/((-13)/52). Let l = h - -201. Calculate the greatest common factor of l and 8.
8
Let y be 18 + 2/(-2) + 3. Suppose -4*n + 9*n = y. What is the greatest common divisor of n and 32?
4
Let g = 36 + -16. Suppose 0 = 4*m - 6 - 26. What is the highest common divisor of g and m?
4
Suppose -2*j = 3*i - 511 + 53, 3*j = -4*i + 685. Let f = j - 128. What is the greatest common divisor of f and 38?
19
Suppose r + 4 = 2*r. Let s(x) = 3*x**2 - 6*x + 4. Let a be s(r). Calculate the highest common factor of a and 7.
7
Suppose 0 = 6*i - 2*i - 8. Suppose i*b - 16 = -0*a - 4*a, 0 = -a + 3. Let j(d) = -2*d - 4. Let h be j(-5). Calculate the highest common factor of h and b.
2
Let j(d) = -d**2 - 9*d + 4. Suppose -7*f + 3*f = 28. Let r be j(f). Suppose 3*k + 11 = 65. What is the greatest common divisor of k and r?
18
Let n(t) = 4*t + 11. Let v be n(4). Calculate the greatest common divisor of v and 18.
9
Suppose o - 4*o = -51. Let w = o + 18. What is the greatest common factor of 7 and w?
7
Suppose 2*h - 606 = -4*d, 0 = -5*h - 4*d + d + 1494. What is the highest common factor of 27 and h?
27
Let g(m) = m**2 + m + 175. Let j be g(0). What is the highest common divisor of j and 25?
25
Suppose 0 = -w + 3*w. Suppose -8*i + 9*i - 48 = w. Calculate the highest common divisor of 12 and i.
12
Let i = -96 + 248. Suppose 7*d - 740 = -i. Calculate the highest common factor of d and 12.
12
Let p = -81 - -97. Calculate the greatest common factor of 112 and p.
16
Suppose 2*w - 4 = -0*w. Let a be (2 - w/2) + 7. Calculate the greatest common factor of 24 and a.
8
Suppose -3*d + d + 6 = 0. Suppose 0 = -2*u + 3 + 3. Calculate the greatest common factor of u and d.
3
Let m = -50 - -98. Calculate the greatest common factor of 6 and m.
6
Suppose 2*y - 43 = 5*m + 38, 2*m + 138 = 3*y. Calculate the greatest common factor of y and 32.
16
Let x(f) = 18*f + 8. Let i be x(7). Suppose -4*u - t = -87, -5*t - 29 = 5*u - i. What is the greatest common divisor of u and 33?
11
Let c(d) = -8*d**3. Let m be c(-1). Let x = -5 + m. Let r be (21 - -1)*x/6. What is the highest common divisor of r and 88?
11
Let j be (11/2)/((-12)/(-24)). Calculate the greatest common divisor of 55 and j.
11
Let b = 20 + 25. What is the greatest common divisor of 27 and b?
9
Let y be ((-8)/(-12) - (-561)/9) + -3. Calculate the highest common divisor of y and 10.
10
Let x be 6/9*27/1. What is the greatest common factor of 30 and x?
6
Suppose -w + 18 = 2*l, 49 + 6 = 3*w + 5*l. Let m be (2 - -2) + -3 - -3. Calculate the highest common factor of m and w.
4
Let t be 22/6 + 6/18. Suppose -2*g - 7 = 3*u, -5*g + 3*u - 5*u + 10 = 0. Calculate the greatest common divisor of t and g.
4
Let w = -685 - -368. Let a be 4/(-6) - (-1679)/3. Let b = w + a. What is the greatest common divisor of b and 22?
22
Let d = 34 - 17. What is the greatest common factor of 68 and d?
17
Suppose 0 = 2*l + 5*j - 8 - 67, -3*l - 2*j = -118. Calculate the highest common divisor of 10 and l.
10
Suppose j + 519 = 4*j. Let u = j + -58. What is the highest common factor of u and 46?
23
Let j be (8/(-6)*-6)/2. Suppose -71 = -2*b - 5*d, -122 + 50 = -3*b + j*d. Suppose -3*z - z = -16. What is the greatest common factor of z and b?
4
Let u(t) = t**2 + 7*t + 6. Let f be u(-7). Suppose -3 = q - f. Suppose -4*d + d = o - 12, -57 = -4*o - q*d. What is the highest common factor of 3 and o?
3
Let c(t) = 71*t**3 + t. Let g be c(1). Suppose 3*w - w - 4 = 0. Suppose 0 = -w*h - 0*h + 16. Calculate the highest common divisor of h and g.
8
Let a(w) = 506*w - 3. Let n be a(3). Let m be n/12 - (-4)/(-16). Calculate the highest common factor of 14 and m.
14
Let t be (-3)/(2 - (-37)/(-18)). Let l(n) = -n**3 - 2*n**2 - 2*n - 2. Let v be l(-2). Let o = v - -4. Calculate the highest common divisor of t and o.
6
Let d be (-8 - (6 - 17)) + 4/2. Let w(c) = -c**3 - 7*c**2 + 2. Let k be w(-7). Suppose k*n - 25 = n. Calculate the greatest common factor of d and n.
5
Suppose -k + 21 = 5*x, -k - 2*x = 10 - 22. Suppose -3*s + 96 = -s. What is the highest common divisor of k and s?
6
Suppose 2*t + 70 = 7*t. What is the greatest common factor of 14 and t?
14
Let j be ((-96)/(-9))/((-1)/(-3)). Suppose 0*d - 12 = -2*d. Suppose -22 = -4*k - d. What is the greatest common factor of j and k?
4
Let w be -3 - (-12)/(1 + 1). Suppose 0 = w*x - 531 + 69. Suppose -6*j - 70 = -11*j. What is the highest common divisor of x and j?
14
Let l be 8*1*(-2 + 18/3). Suppose -2*p + 0*p + 160 = 0. What is the greatest common divisor of p and l?
16
Let p(s) = -s - 1. Let g be p(-6). Suppose -4*u = -2*x + 88, x - g*x = 4*u - 128. What is the greatest common divisor of 9 and x?
9
Suppose 1215 = -5*y + 3*j, -2*y = -5*j + 645 - 140. Let z be 2/3 - y/(-9). Let f be (-6)/12*z*1. Calculate the greatest common divisor of 143 and f.
13
Let p = -29 + 64. Suppose -5*b -
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to i in -0.3, -25, -0.4?
-0.4
Let f = 18.96 - -0.04. Let c be 18/(-16) - ((-31)/(-8) + 14 + -18). What is the closest to f in -2, c, 0?
0
Let j = -266 + 262. Let u = -2.994 - 0.006. What is the nearest to 2/13 in 11, u, 0.4, j?
0.4
Let u = 115 + -110.21. Let w = u - 4.39. Which is the closest to -1? (a) 2 (b) w (c) -5/6
c
Let o = -50335/28 + 12582/7. Let l = 0 + 0.02. Let u = l + 0.18. What is the closest to o in 5, 2/19, u?
2/19
Let w be 385/15*1 + 2/6. Let k(l) = 2*l**2 - 52*l - 4. Let x be k(w). Let u be -1*(3/(-2) - -2). Which is the nearest to u? (a) -1 (b) x (c) 2/3
a
Let u = 3900 + -3941. Which is the closest to 1? (a) u (b) -5 (c) 2/27 (d) 3
c
Let v = -91609 - -91605. Suppose 5*f - 4 = 2*g, -2*f = -4*g + g - 6. Let y = -0.2 + 0.4. Which is the nearest to v? (a) y (b) g (c) 2
b
Let w be (-5 - 3) + 420/50. Let r be (2*-1 - -1) + 1. Let y be (-48)/(-28) + -2 - (-64)/(-168). What is the closest to -0.1 in w, y, r?
r
Let x = -2224 + 2224. Let q = -98 - -97.53. Let k = q + 0.07. What is the nearest to 2/15 in k, x, 2?
x
Let g be ((-16)/2)/2*(-2 + 3). Let q = -35 + 35.025. Let m = 0.075 + q. Which is the closest to m? (a) g (b) 0.2 (c) -1/4
b
Let y = -4.654 + 22.654. Which is the nearest to -0.1? (a) 3 (b) 1/7 (c) 22 (d) y
b
Let w(i) = -i**3 + 9*i**2 - i - 57. Let v be w(8). What is the closest to -2/7 in v, 0, -0.1, 5?
-0.1
Let g = 0.0437 + -0.2537. Which is the nearest to 1/5? (a) -3 (b) 0.4 (c) -2/7 (d) g
b
Let m = 2.2 - 0.4. Let n = -1393.8 - -1397. Let j = m + n. What is the closest to 1 in 2, j, -1/8?
2
Let o = -3014 - -3018. What is the nearest to 2/3 in -2.5, -4, o?
-2.5
Let q be 946/158 + (217/(-7) - -25). What is the closest to q in 3, -3, -1/8?
-1/8
Let p be (10/9)/((-92295)/(-23733)). Let m = 4 - 9. What is the nearest to p in 20, 5/2, -4, m?
5/2
Let j = -34467 - -34750. Which is the nearest to 0? (a) -3 (b) j (c) 0.5 (d) 2/3
c
Let i = -8112 + 8111.7. Which is the closest to -1/5? (a) 5 (b) i (c) -0.52 (d) 3
b
Let t = 159/10 - 1809/110. Let w = 342 + -345. What is the nearest to w in t, 1/2, -5/6?
-5/6
Let w = 19565 - 19564. Which is the nearest to -0.066? (a) -0.1 (b) w (c) 2
a
Let m = -2.84 - 5.36. Let b = 8.3 + m. What is the closest to b in -6/11, 3, 0?
0
Let g = -2855.8 - -2856. What is the closest to -3.1 in g, -6, -4?
-4
Let o = -4 - -1. Let m = 0.45 - 0.25. Let c(z) = 1466*z + 23458. Let p be c(-16). What is the closest to 11 in p, m, o?
p
Let r = -1368/5 - -274. Let v(q) = -10*q + 233. Let f be v(24). Which is the closest to 0? (a) -2/13 (b) -3/4 (c) f (d) r
a
Let p = -18/7 + 65/28. Which is the closest to -1? (a) 24 (b) 2 (c) -0.4 (d) p
c
Let o(m) = -m**3 - 3*m**2 + 5*m + 3. Let r be o(-4). Let q = 72/677 - 2175/1354. Which is the closest to r? (a) 4 (b) q (c) 5
b
Let a = -98.4 + 94.4. What is the nearest to -4 in a, -2, -12?
a
Let f = -297 + 300. Let t be ((-40)/(-72))/(2/6). Which is the closest to -1? (a) f (b) -0.13 (c) t
b
Let t = 0.05 + 0. Let y = 0.03394 + 0.46606. Which is the nearest to y? (a) -0.5 (b) 0.2 (c) t
b
Let m = -870/53 - -2716/159. Let w = -39 + 38.8. Which is the closest to m? (a) -1 (b) -0.3 (c) w (d) 0.4
d
Let u = 589.8 - 590. What is the closest to -2/5 in 0, -184, u?
u
Let k = 0.64 - -0.38. Let i = -4.02 + k. What is the closest to 2 in 12, 0.2, i?
0.2
Let h = 87 + 1. Suppose p - 16 = -2*r + 12, 4*p + 2*r = h. Let j be (-15)/(-22) + (-10)/p. What is the nearest to -1/2 in 4, 3, j?
j
Let y be 2 + -3 - 27/(-36). Let v = -4654 - -18615/4. Which is the closest to v? (a) -2/5 (b) y (c) -3
b
Let j = 3 - -13. Suppose -4 = 4*y - j. Suppose 2*l + y*c + 2*c + 18 = 0, 5*l + 2*c + 3 = 0. What is the nearest to l in -5, 2, -0.2?
2
Suppose 8*s + 22 + 34 = 0. Let g be 1/7 + (-125)/s. Which is the nearest to 0? (a) g (b) 0.4 (c) 0.01
c
Let h be (-3)/(-15) + 63/(-165). Suppose -6*s + 2*s + 0*s = 0. Let n be s/(-12) - (-1)/(-2). Which is the nearest to n? (a) 3/5 (b) 0.3 (c) h
c
Let b = -5704 - -5706. What is the nearest to -0.1 in 0.6, -5.7, b?
0.6
Let m = -12.2 - -20.3. Let p = -8.1 + m. Which is the closest to -15? (a) p (b) 2 (c) -0.5
c
Let u = 0.15 + -18.15. What is the nearest to u in -1, -4, 0.6, 3?
-4
Let n = -65557 - -457929/7. Let v = n + 19463/140. Let x = 1/5 - v. Which is the nearest to 1/2? (a) 1/3 (b) 0.4 (c) x
b
Let j = -189 + 188. Let f be 90/200 + (-1)/4. What is the closest to -2/3 in f, 2, j?
j
Let f = -1081.1 + 1081. Let m be -2*(-1 - (-4)/3). What is the closest to m in -4, f, -2?
f
Let l be (-11)/(-7) - (1 - -8 - 7). Which is the nearest to -1? (a) 0 (b) l (c) 278
b
Let v be 3 + (-15)/(3150/20) + 82/(-21). Which is the closest to 1/6? (a) v (b) 0.07 (c) 1
b
Let y be (-2)/(-16) - 3822/31472. Let m = -847/1124 + y. What is the closest to -3 in m, -5, -2/5?
-5
Let o be ((-2360)/944)/(-1 - (-2)/(-4))*-1. What is the nearest to o in -8/7, -0.09, 0?
-8/7
Let z be (-2737)/476 - -6*1. Let b = -4 - -1. What is the closest to b in 1/2, z, 8?
z
Let z = -41 + 42. Let q = -10315/4 - -2579. What is the closest to z in 3, q, 0.5, 2/7?
0.5
Let m = 301.7 - 301.73. Let o = -237/2068 - -579569/1664740. Let d = o - -6/115. What is the closest to d in -0.3, -3, m?
m
Let j = -16 - -16. Let n be j - 7/((-252)/(-8)). Let l = -2.357 - -0.357. Which is the nearest to 1/2? (a) n (b) l (c) -4
a
Let g = 27802 - 27896. What is the nearest to -2 in g, -2, -11?
-2
Let x = -216 - -195.8. Let y = x + 19.8. Let o = 2.5 - -0.5. Which is the nearest to 0? (a) 4 (b) y (c) o
b
Let g = 1203 + -1116.9. Let l = -355 - -269. Let b = g + l. What is the nearest to -4 in b, 3, -2/9?
-2/9
Let k = -2 - -6. Let w = k + -1. Let t be 0*(-6)/4*(920/(-60))/(-46). Which is the nearest to t? (a) 4 (b) -2 (c) w
b
Suppose -42 = -2*g - 4*n, -4*n + 108 = 4*g - 2*n. Suppose s + s + 3*b = 18, 0 = 3*s + 5*b - g. What is the closest to 1/4 in 0.2, -4, s?
0.2
Let w = -2.89822 - 0.10178. Which is the nearest to -0.2? (a) -16 (b) -0.5 (c) w (d) 0.049
d
Let m = 8/231 - 15100/231. Let u = m - -584/9. Suppose 4*z - k + 7 = 28, -2*z = -4*k - 28. Which is the closest to -22/7? (a) 1 (b) u (c) z
b
Let q = -4.51 + 94.51. Let w = q + -90.1. Which is the nearest to 0.1? (a) w (b) -23 (c) 1 (d) 2
a
Let g = -1 + -181. Let x = -190 - g. What is the nearest to 1 in x, 1, -0.1?
1
Let h(w) = w**3 - 2*w**2 - 14*w + 1. Let g be h(5). Which is the closest to 1/2? (a) 0.3 (b) g (c) 2/19 (d) 19
a
Let h = 17740.6 - 17741. Suppose -4*t = -2*t. Let m = -3 - -7. What is the nearest to t in h, m, -6?
h
Let i = -682.5 - -677. Let u = -5.5 - i. Let m = -3 - -6. Which is the closest to 1/11? (a) m (b) 2/9 (c) u
c
Let m = 1/150 + 59/150. Let k = -475 - -235. Let g = -241 - k. Which is the closest to g? (a) -4/5 (b) m (c) -0.03
a
Let w(x) = -x - 1. Let o be w(4). Let u = -0.815 - -2.815. Let b(i) = -i**3 - 27*i**2 - 25*i + 37. Let n be b(-26). What is the nearest to u in n, 2/5, o?
2/5
Suppose 8*u + 14 = -3*n + 9*u, -n - 6 = u. Let s = 1/9 + -4/9. Which is the nearest to s? (a) -2 (b) 16 (c) n
a
Let v = 3621 - 18107/5. What is the nearest to v in 2/7, -2/5, 5, -1/4?
-2/5
Suppose -245*y + 148*y = -2037. Let v = 0.8 - -4.2. What is the closest to -4 in -3/7, v, y?
-3/7
Let x = -248 - -244. Let v be 32/(-18) - -3*8/12. Which is the nearest to 0? (a) x (b) 2/3 (c) v
c
Let s = 15.144 + -19.144. What is the nearest to -121 in 0.3, s, -3/14?
s
Let b = 1836 + -994. Let g = 839 - b. What is the nearest to 0 in 2/11, g, -27?
2/11
Let l = -443/8 - -1345/24. Which is the closest to -2/5? (a) -2/3 (b) l (c) 2/1729
a
Suppose -14 = 3*s - 5*h, 0 = 6*s - 7*s - 2*h + 10. Let f = -27.7 + 30.7. What is the closest to s in 0.5, -5, f, -3?
f
Let r be 66096/(-15912) - 4/(-26). Suppose v = -0*v. What is the nearest to v in 2, -1/4, r, 5?
-1/4
Let o = -3.95 - -4. Let n = -1.95 - o. Suppose 2*w + 522 = -3*i + 502, -5*w = -i + 16. What is the nearest to n in 0.1, -0.2, i?
-0.2
Let z = 15.8 - 318.8. Let w = z - -301.3. Which is the closest to w? (a) 2 (b) -3 (c) -0.1
b
Let m(j) be the first derivative of j**4/4 - 13*j**3/3 + 17*j**2 + 9*j - 145. Let h be m(4). What is the nearest to 0.1 in -0.2, h, 18?
-0.2
Let u = 370 + -372. Which is the closest to -134? (a) u (b) 0 (c) 5
|
{
"pile_set_name": "DM Mathematics"
}
|
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