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5079.03
Calculate -20.52 - 7412516.296.
-7412536.816
What is -5072857 less than 7.9574349?
5072864.9574349
What is 22 take away 0.070161419557?
21.929838580443
What is -0.52031351608371 - 0.13?
-0.65031351608371
What is the difference between -566441061 and -88234?
566352827
111019.018 - 153618
-42598.982
Add together -0.013 and -112305977.53.
-112305977.543
Add 21376.568005 and -1015.7.
20360.868005
What is -0.9742 minus 314404?
-314404.9742
-7.1681831 - -52743
52735.8318169
What is 0.143468 less than -0.3715902?
-0.5150582
What is 0.163237 + 14415544?
14415544.163237
0.1+324.09765901527
324.19765901527
What is -0.2119445357 minus -0.54?
0.3280554643
What is -36121625079.24 minus -3?
-36121625076.24
Subtract 928712987 from -0.01.
-928712987.01
What is -4635810290918.7 + -0.1?
-4635810290918.8
Work out -65101698140 + 0.14.
-65101698139.86
Put together 5 and -6.6418966711.
-1.6418966711
Calculate -3189.2745 + -192401.
-195590.2745
What is 1 plus -286.8937446559?
-285.8937446559
What is -94401767150 less than -2?
94401767148
What is 2.19738 less than -3415267.514?
-3415269.71138
Subtract -443458355.6 from 70.
443458425.6
What is the distance between 1698354694 and 201?
1698354493
Work out 218.349566607 - 7.
211.349566607
What is -12258911427.9 + -2?
-12258911429.9
Calculate -5 + -71427434930117.
-71427434930122
-144978827092+3
-144978827089
What is -172 take away -15.15940236219?
-156.84059763781
Subtract -169020955263 from -0.3.
169020955262.7
What is the distance between -0.07 and 61985422242183?
61985422242183.07
Total of 17497047 and -3548.8.
17493498.2
What is -0.2 less than -11672640690?
-11672640689.8
What is -9718129 take away -0.31708?
-9718128.68292
Sum -0.288 and -4465526685.606.
-4465526685.894
Subtract 129 from -10174998.316.
-10175127.316
Add together -10555.58 and -3722672.
-3733227.58
Put together -2.210780701369 and -1.
-3.210780701369
0.038327 - 81035.982
-81035.943673
-512516913+-0.1
-512516913.1
Work out 0.1 - 44524468699.
-44524468698.9
Put together -8 and -23775321400747.
-23775321400755
Sum 9 and 0.149135825385.
9.149135825385
Add -437900650458 and 8.78.
-437900650449.22
Sum 130276931 and -52.803.
130276878.197
What is 3.3267633 + 61068?
61071.3267633
Work out 1.9954932 + 208.755.
210.7504932
118675 - -2638358
2757033
-95632586.754 + 14
-95632572.754
What is -6233131003.61 minus -3?
-6233131000.61
Work out -579887942702 + 60.2.
-579887942641.8
-3358270149 - -0.31
-3358270148.69
-6153909145948 - 0.2
-6153909145948.2
What is 0.4 plus -1698368081895?
-1698368081894.6
Add together 6.6 and 7454216.798.
7454223.398
Work out 0.033208353 - 5152.72.
-5152.686791647
Calculate -7195 + 2919056913.
2919049718
-0.3344604187 - 1.51798
-1.8524404187
Add together 469469034109 and -0.01.
469469034108.99
What is the distance between 0.0224 and -137248475?
137248475.0224
What is -5298619984 plus -2.93?
-5298619986.93
What is the difference between 10 and -107880985404?
107880985414
-3134+-17.766585
-3151.766585
Total of -502.3604857 and -6784.
-7286.3604857
Add together 10.17995704445 and -0.01.
10.16995704445
What is 3333 less than -145907.38?
-149240.38
What is 524.4721 take away -4545280?
4545804.4721
What is the difference between -224500519335 and -4498?
224500514837
Calculate 4.37 + -6672237.25916.
-6672232.88916
11+129644660337
129644660348
What is 4133581372052 minus 4?
4133581372048
Calculate 13600353351 + -296.
13600353055
Work out -2269400 - -8236750.
5967350
Add together 1201245 and -46616296.
-45415051
Put together -0.1 and -106677365201.
-106677365201.1
What is 0.07 minus 2431269304.6?
-2431269304.53
Put together 10471 and 41703298.
41713769
-0.3 + -584080624190
-584080624190.3
What is -3.077130745672 - 2?
-5.077130745672
0.304 - 323509837
-323509836.696
What is -892730.233767 minus 0.2?
-892730.433767
-22+-16119454054
-16119454076
Work out -824448.22 + 643.6.
-823804.62
-1655 - 52.249387
-1707.249387
Total of 4218763249.5109 and -0.4.
4218763249.1109
What is 509806278 + -62700?
509743578
What is the difference between 0.03445263 and 110.566?
110.53154737
Work out -210 - 0.1581207094968.
-210.1581207094968
What is 0.08 minus 10737731424?
-10737731423.92
Calculate -0.3 - -45.2524044251.
44.9524044251
-1629.462 - 0.016821884
-1629.478821884
454 + -66.138780229
387.861219771
Calculate 0.3 - 1290221817019.
-1290221817018.7
What is -72753029.3 take away -6396?
-72746633.3
What is the difference between -127187 and -18700154?
18572967
What is -0.1 plus -2757612403853?
-2757612403853.1
Total of -0.29 and -109201.4195586.
-109201.7095586
Subtract 4976.7901 from -33476.
-38452.7901
What is 14416066845 - -5?
14416066850
What is 58.95125 - -818250?
818308.95125
Put together -22.66 and 285429971.
285429948.34
What is -0.82637116 take away 12298.11?
-12298.93637116
What is -0.0306 - -2710541886?
2710541885.9694
What is -0.1 take away 10760829316?
-10760829316.1
Calculate 2254504098 + -242.
2254503856
103.4376946665593 + 0.2
103.6376946665593
-4 - -13247175.71006
13247171.71006
Put together 3809 and 357824807.
357828616
Total of 170 and -4501501.35416.
-4501331.35416
Sum 0.01419404559505 and -8.
-7.98580595440495
Work out -91.87 + -14160713.
-14160804.87
Work out -23396543303029 - 2.
-23396543303031
Work out 10721986339 + 0.019609.
10721986339.019609
What is the distance between -3831988421589 and 0.1?
3831988421589.1
What is 1.77682 + -544000546?
-544000544.22318
What is 40419358186 less than -0.0133?
-40419358186.0133
What is 153019.23 minus 367674?
-214654.77
Total of 438694468622 and -532.
438694468090
Put together 584031242648 and 153.4.
584031242801.4
What is -6 less than -257058425279?
-257058425273
293908 + -12916361.16
-12622453.16
Put together 1 and 291796629043.
291796629044
What is 1989.2 take away 16746.36664?
-14757.16664
Work out 54.6152213628 + 367.
421.6152213628
What is the difference between -65942.3812 and -649?
65293.3812
-28 + -924124.67061
-924152.67061
What is -0.2851 less than -61.373645437?
-61.088545437
Subtract 3813625.78058 from -284.
-3813909.78058
Add together 40686437.8074393 and -1.
40686436.8074393
What is -797 - -122.3390452001?
-674.6609547999
What is -2.31366 less than -421134?
-421131.68634
What is -24572 take away 3583.3778?
-28155.3778
What is -15907.94 less than 6.701823?
15914.641823
What is 23713240.31082 take away -0.1?
23713240.41082
Total of -111.75526 and -12.8215.
-124.57676
Total of -80851117297 and -22.
-80851117319
Calculate 676989 + 374199545.
374876534
What is 3 + -155167893555674?
-155167893555671
What is 703.626006 - -0.145?
703.771006
Calculate 16062.1302 + 0.75007.
16062.88027
What is 29812482750 + -0.15?
29812482749.85
What is -46202795653 plus 1.06?
-46202795651.94
2 + -85422228.3361
-85422226.3361
Calculate 70 + 21540319.188.
21540389.188
-28782882489 - -2
-28782882487
-6418043498 + -5.09
-6418043503.09
Put together -2913149 and -58.95816.
-2913207.95816
Subtract -364320363 from -1956307.
362364056
-17089+5260550
5243461
1.42 + 51701836
51701837.42
Calculate -3409.67 - 597.0699.
-4006.7399
What is 18628561.946081 take away -0.2?
18628562.146081
0.8411807 - -5.7965728
6.6377535
What is -0.1225 - -61752133790?
61752133789.8775
What is the distance between -4543133646 and 1678?
4543135324
Subtract 0.21875 from -2629724.5754.
-2629724.79415
What is -588933763 + -1791?
-588935554
-874344+-1901.37
-876245.37
Total of -0.4 and 35803.744156547.
35803.344156547
Add together -0.5 and 1594911577007.
1594911577006.5
Work out 279179624104361 + -0.2.
279179624104360.8
0.8277502679+3120.2
3121.0277502679
What is -0.091 minus -157973428.46?
157973428.369
Work out 2.1 - 746035235831.
-746035235828.9
What is the distance between -0.1 and -2.99087557347?
2.89087557347
Total of -1.1471456 and -7641.
-7642.1471456
Calculate 15419769796.14 - -0.06.
15419769796.2
What is 3502.5 + 223570.5398?
227073.0398
Total of 5 and 119.85774581881.
124.85774581881
What is 1246 take away 40.166079677?
1205.833920323
What is the difference between -0.0243 and 15115265731?
15115265731.0243
What is the distance between -1218110 and -0.700915?
1218109.299085
What is 417055 minus 143421.776?
273633.224
-6366.91 + -23.27947
-6390.18947
-335.33 + 217876707
217876371.67
-77811 - -873308
795497
What is the distance between
|
{
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}
|
st to 2? (a) 1/37 (b) 1/5 (c) 2
c
Which is the closest to 2/3? (a) -0.3 (b) 1 (c) -33 (d) 2/5
d
What is the nearest to 1 in 2, 40, 1?
1
What is the closest to 3/4 in 4, 82, -1?
-1
Which is the closest to 0.2? (a) -4 (b) 0.5 (c) -2 (d) -223
b
What is the nearest to -4/7 in -11/4, -2/9, -2/19?
-2/9
Which is the closest to -3? (a) -0.4 (b) 5 (c) 0.02 (d) 14
a
What is the closest to 0.1 in 10, -0.1, -55?
-0.1
What is the nearest to 2/7 in 654, -3, 0.1?
0.1
What is the nearest to 2/9 in -41, -9/4, -4, 1?
1
Which is the nearest to -13/2? (a) -1/5 (b) -88 (c) 3
a
What is the closest to -2 in 56, -0.2, -0.5?
-0.5
Which is the nearest to 0? (a) 0.3 (b) 2 (c) 2/19 (d) 0.05
d
Which is the nearest to -0.1? (a) 2/13 (b) -1 (c) 2
a
Which is the nearest to 1? (a) 0.031 (b) 2/13 (c) 0.4
c
Which is the nearest to 1? (a) 0 (b) 64 (c) -0.3 (d) 2/9
d
What is the closest to 377 in -3/4, -2, 3?
3
What is the closest to 2/9 in -1, -0.5, 14/9?
-0.5
Which is the closest to -1/2? (a) -0.06 (b) 2/9 (c) -2/5
c
Which is the closest to 0.734? (a) 3 (b) -1/7 (c) -5/6
b
What is the nearest to 1 in -4/7, 4, 0.2?
0.2
What is the nearest to 2 in 2, 5, -6/5, -0.3?
2
What is the closest to -1 in 3, 2/23, 5, -15?
2/23
Which is the nearest to -0.07? (a) 4 (b) -6/7 (c) 27 (d) -2/5
d
What is the nearest to 2 in -1.5, 2, 2/21?
2
What is the nearest to 10 in -0.7, -5, -3/4?
-0.7
Which is the closest to -1? (a) 0.1 (b) -5 (c) 135 (d) -4
a
What is the nearest to 2 in 0.5, -0.2, -1/24, 2?
2
What is the closest to 0.22 in 4, 32, 0.2?
0.2
Which is the closest to -17/5? (a) -3/4 (b) -5 (c) 2/7
b
Which is the nearest to 2/17? (a) -3 (b) 0 (c) -8
b
What is the nearest to -0.1 in -8, 2/3, 8, 1/5?
1/5
What is the nearest to 2/3 in 0.3, 0.1, -0.2885, -2/9?
0.3
Which is the nearest to -2/3? (a) 1/5 (b) 0.1 (c) 19 (d) 2
b
What is the closest to 3 in -0.4, 2/11, 2/2361?
2/11
Which is the nearest to -0.1? (a) -0.4 (b) 2/5 (c) 0.1 (d) 12
c
What is the closest to 2 in -3, -1/37, -3/4, -0.5?
-1/37
What is the nearest to -9 in 5, -0.4, -1/7, -2/3?
-2/3
Which is the closest to -2? (a) 16/7 (b) -5 (c) 2 (d) -1
d
Which is the nearest to -0.2? (a) 2/3 (b) -2/19 (c) -1/5 (d) 0.7
c
Which is the closest to 1? (a) -8/7 (b) 0 (c) -1
b
What is the closest to 1 in 0.2, -0.2, 18, 16?
0.2
What is the nearest to 2 in 3, -4/7, -2/191, 0.2?
3
Which is the nearest to 2/61? (a) -1/2 (b) 23/2 (c) 0.4 (d) -1
c
Which is the closest to -4? (a) 1 (b) 2/27 (c) 2 (d) -2/9
d
What is the nearest to 0.3 in -7.9, 1, -4?
1
What is the closest to 0.2 in 5, -99, -6?
5
What is the nearest to 0 in 1, 22/59, 1/9?
1/9
What is the nearest to 0.1 in -4/19, -3, 4?
-4/19
What is the closest to 0 in 0.02, 5, 2/63?
0.02
Which is the closest to -4? (a) 2/3 (b) -1/6 (c) -0.1 (d) -49
b
Which is the closest to 3/7? (a) 0.5 (b) -1/2 (c) 2/95
a
What is the closest to -23 in -3, 1, 4, 0.2?
-3
Which is the nearest to 0? (a) -2/31 (b) 2 (c) -8 (d) 4
a
What is the closest to 0 in -0.1, 5, -382?
-0.1
What is the nearest to 4 in 0.04, -4, -0.4, -1/4?
0.04
Which is the closest to 0.3? (a) -0.5 (b) -1 (c) -5/4
a
Which is the closest to 0.04? (a) -3 (b) 0 (c) -5 (d) 1/4
b
What is the nearest to 4 in 25, -0.1, 35?
-0.1
Which is the closest to 1? (a) 3 (b) -11 (c) 4 (d) 4/11
d
What is the nearest to -1/8 in 0.5, 2/11, 0.1, 4/7?
0.1
Which is the closest to -2/7? (a) 1/6 (b) 1 (c) 17 (d) 2/7
a
Which is the nearest to 176? (a) 4/7 (b) -4/9 (c) 8
c
Which is the closest to 3? (a) -4 (b) -0.4 (c) -3/5 (d) 3/2
d
What is the closest to -6/11 in 0.09, 1/6, 0?
0
Which is the closest to 1? (a) -3/5 (b) -25 (c) 3
a
What is the closest to -6 in 0.5, -0.1, -0.2, -0.05?
-0.2
Which is the closest to 188? (a) -1/4 (b) -2 (c) 10
c
What is the closest to 1 in 116, -0.5, -3, -5?
-0.5
What is the nearest to 0.005 in -2/7, -0.23, 5?
-0.23
Which is the nearest to -1/2? (a) 2 (b) 21 (c) -5
a
Which is the closest to 1? (a) 2/13 (b) -0.4 (c) 1/3 (d) 6
c
Which is the closest to 2? (a) -4 (b) -84 (c) -1 (d) 4
d
What is the closest to 0 in 2/17, 0.17, 0, 4?
0
Which is the closest to 5? (a) 4 (b) -3 (c) -1 (d) 3/4
a
Which is the closest to -9? (a) 1/5 (b) 1 (c) 40
a
What is the nearest to 0.5 in -5, 0.2, 3, -2/7?
0.2
What is the closest to 0 in -1/4, -0.5, -0.4, -22.2?
-1/4
Which is the nearest to 0? (a) -1/6 (b) -1/27 (c) 2/13 (d) 3
b
What is the closest to 0.3 in -0.2, 5, 0.08, -6/19?
0.08
What is the closest to 1 in -0.11, -1/6, 0.2?
0.2
Which is the closest to -1/29? (a) 1/4 (b) 2 (c) -2
a
What is the nearest to 1/4 in -1/3, -0.046, -3/8, 1/2?
1/2
Which is the closest to 2/11? (a) -4/9 (b) 3/17 (c) -1/2
b
What is the nearest to -1 in 1/7, -0.1, -2?
-0.1
Which is the nearest to -1/4? (a) -5 (b) -1/3 (c) 2/55 (d) 0
b
Which is the nearest to 0.2? (a) -4 (b) 7 (c) 0.3 (d) 1/9
d
Which is the closest to -1? (a) -1.1 (b) 1/3 (c) 6/25 (d) 0.4
a
What is the closest to 0 in -5, 0, -4, -0.6?
0
What is the nearest to 89 in 2, 3/4, 1/7, 1/2?
2
What is the closest to 0 in 1, -3, -230?
1
What is the closest to 2/3 in 1, -2, 4, -5?
1
Which is the closest to -4/7? (a) 0.2 (b) 6 (c) -0.04
c
Which is the closest to -3? (a) 1/9 (b) 12 (c) -2 (d) 0.2
c
Which is the nearest to -23? (a) -3 (b) -2/11 (c) -1
a
What is the closest to 2/17 in 90, 1/4, 5?
1/4
Which is the nearest to 27? (a) -3 (b) 2/13 (c) -4.6 (d) 3
d
Which is the closest to 13? (a) -0.2 (b) -7 (c) 0.4
c
Which is the nearest to -2/3? (a) -4 (b) -1/4 (c) 2/39 (d) 2
b
What is the closest to -3/4 in 10, 0, 0.1?
0
What is the closest to 0.1 in -12, 3/7, 0, 0.1?
0.1
What is the nearest to -1 in -26, -8/5, 4/5?
-8/5
Which is the closest to -2/3? (a) 4 (b) 14 (c) -0.1 (d) -9
c
What is the nearest to -0.146 in 1, -6/5, -0.4?
-0.4
Which is the nearest to 1? (a) 4 (b) 0.1 (c) 3 (d) 3/10
d
What is the nearest to 0 in -0.2, -0.4, -5/14, 3?
-0.2
What is the closest to 0.1 in -1/3, 1, 2/15, 3?
2/15
What is the closest to -0.1 in 1, -2/19, 6?
-2/19
Which is the nearest to 0? (a) -0.144 (b) -0.4 (c) -3/2
a
What is the nearest to -1/3 in -4/7, 7/13, -1, -3?
-4/7
What is the closest to 0.07 in 2, 6/7, 20, -5?
6/7
What is the closest to 27.8 in 3/4, 0.3, 4/7?
3/4
Which is the nearest to 0.2? (a) -3 (b) 1 (c) -1
b
What is the nearest to -43 in 8, -0.03, 0?
-0.03
What is the nearest to -9 in -313, -3, 0.5?
-3
Which is the closest to -1? (a) 2/69 (b) -1/4 (c) 0.1 (d) 4
b
What is the nearest to 2/7 in 4/49, -4/3, -0.15?
4/49
What is the closest to 1/8 in 2/7, -1, 2?
2/7
Which is the nearest to 1? (a) -2 (b) 157 (c) 0.5 (d) -4
c
What is the closest to 32 in 0, 1, 5, -5/4?
5
Which is the closest to 1? (a) 5 (b) 2/3 (c) -16 (d) 3/2
b
What is the nearest to 2/5 in -2/7, -1/7, 57?
-1/7
What is the nearest to -1 in 0.7, 5/3, -2, -3?
-2
What is the closest to -1/3 in -1, -6/7, 0.21?
-6/7
What is the closest to 3 in 2, 1, -0.305?
2
What is the nearest to 1 in -2/15, -2/9, -0.7?
-2/15
Which is the closest to -2/9? (a) -0.5 (b) 0.14 (c) 0.1
a
Which is the closest to -1? (a) 0.03 (b) 5 (c) -155
a
What is the nearest to -1/4 in 2/9, -2, -4/9, -16?
-4/9
What is the nearest to -17 in 0.1, 1, 2?
0.1
Which is the nearest to -1/4? (a) -0.01 (b) 25 (c) 0.3 (d) 2/5
a
What is the nearest to -0.1 in 4, -11, -7/11?
-7/11
What is the nearest to -2/3 in 20, -1, 2?
-1
Which is the nearest to -1/3? (a) -2 (b) 0 (c) -1/2
c
Which is the closest to 0.2? (a) 31 (b) -3 (c) 1
c
Which is the closest to 3? (a) 0.1 (b) -0.1 (c) 2/173
a
What is the nearest to -1 in 4, 1/2, 0.03, -2?
-2
What is the closest to 0.3 in -0.03, -1/9, -4, 0.4?
0.4
What is the nearest to 9/4 in 0.4, -0.09, 0.3, -7?
0.4
Which is the nearest to -2/3? (a) -222 (b) 1 (c) 0.3
c
What is the closest to 0.1 in -1, 0.5, -2/7, -5/7?
-2/7
Which is the closest to 6? (a) 5 (b) -0.1 (c) -4
a
What is the nearest to -1 in 2/11, -4/7, -2/31, -4?
-4/7
Which is the closest to 1? (a) -5 (b) -3 (c) -2 (d) 1/18
d
What is the nearest to -3 in -0.4, 0.3, 0, 4?
-0.4
What is the nearest to 100 in 3, -0.2, -0.4?
3
What is the closest to -1 in 0, -9, -0.5?
-0.5
Which is the closest to 0.044? (a) 0.2 (b) 4/3 (c) -3 (d)
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{
"pile_set_name": "DM Mathematics"
}
|
r**2/2 + 4*r - 2. Let s be l(-5). Solve -1/2*h**s + 0 - 1/2*h + 1/2*h**3 + 1/2*h**2 = 0 for h.
-1, 0, 1
Let n = 14 - 14. Let r be n*(-2)/2*1. Find j such that -4/3*j**2 + r - 2/3*j - 2/3*j**3 = 0.
-1, 0
Let a(p) be the second derivative of p**7/105 - p**6/25 + 3*p**5/50 - p**4/30 + 38*p. Factor a(k).
2*k**2*(k - 1)**3/5
Let v(u) be the first derivative of 7*u**3/6 + 19*u**2/4 - 3*u + 18. Factor v(y).
(y + 3)*(7*y - 2)/2
Let o(z) = -z**2 + 9*z + 7. Let a be o(7). Factor -a*s**4 + 6*s**3 + 0*s - 9*s**2 - 6*s + 23*s**3 + 7*s**3.
-3*s*(s - 1)**2*(7*s + 2)
Let m be 2 + -5 - 1 - -117. Let k = -449/4 + m. Factor 3/4*s + 0 - 3/2*s**2 + 3/2*s**4 - k*s**5 + 0*s**3.
-3*s*(s - 1)**3*(s + 1)/4
Let d(l) = 2*l + 57. Let p be d(-28). Factor 3/2*a**2 - p - 1/2*a.
(a - 1)*(3*a + 2)/2
Suppose 2*b = -3*o - o + 26, -o + 5 = 0. Let w(n) be the second derivative of 3/2*n**b + 3*n**2 + 0 + 4*n - 3/20*n**5 + 0*n**4. Suppose w(m) = 0. Calculate m.
-1, 2
Let s(d) = d**3 - 3*d**2 + 6*d - 2. Let w(y) = y**3 - y**2 + 2*y - 1. Let c(o) = -3*s(o) + 6*w(o). Factor c(h).
3*h*(h - 1)*(h + 2)
Let 0*d**4 + 2*d**2 - d**5 - 413*d + 414*d - 2*d**4 = 0. What is d?
-1, 0, 1
Suppose -7*c + 16 = -3*c. Factor c*f**2 - 4*f**2 - f - 2*f**2 + 3*f**3.
f*(f - 1)*(3*f + 1)
Let b(g) be the third derivative of -g**8/1176 - g**7/735 + g**6/420 + g**5/210 - 2*g**2 + 9. Find v such that b(v) = 0.
-1, 0, 1
Factor -1/4*y**5 - 3/4*y**3 - 1/4*y**2 + 0*y - 3/4*y**4 + 0.
-y**2*(y + 1)**3/4
Let v(j) be the second derivative of 1/2*j**3 - 1/2*j**4 + 0 + 0*j**2 + 3/20*j**5 + 6*j. Suppose v(y) = 0. What is y?
0, 1
Let x(c) be the first derivative of -6*c**5/5 + 4*c**4 - 4*c**3 + 2*c + 7. Factor x(h).
-2*(h - 1)**3*(3*h + 1)
Let f(o) = o**3 - 7*o**2 - 8*o + 11. Let v be f(8). Factor -21*g - v*g - 9*g**2 + 12 - 6*g**2 + 3*g**2.
-4*(g + 3)*(3*g - 1)
Let z(i) = -i + 6. Let k be z(6). Factor 0*r + r**3 - r + k*r**3 - r**2 + r**4.
r*(r - 1)*(r + 1)**2
Let t(m) = 6*m**5 + 6*m**4 - 6*m**2 - 3*m + 3. Let u(q) = 17*q**5 + 19*q**4 + q**3 - 19*q**2 - 10*q + 8. Let n(x) = 8*t(x) - 3*u(x). Find v such that n(v) = 0.
-2, -1, 0, 1
Let j(l) be the first derivative of l**3/7 + 6*l**2/7 + 9*l/7 - 18. Suppose j(h) = 0. Calculate h.
-3, -1
Let o(u) = -u**2 + 10*u - 9. Let r be o(9). Factor r*n - 1/4*n**2 + 0.
-n**2/4
Let j = 214 - 212. Factor -3/2*z**j + 0 + 1/2*z**4 - z + 0*z**3.
z*(z - 2)*(z + 1)**2/2
Let m(f) = -f**3 - 7*f**2 - 6*f. Let b be m(-6). Factor -9*y**2 + 2 + b + 10 + 3*y**3.
3*(y - 2)**2*(y + 1)
Let t(n) = n**4 + 2*n**3 - 4*n**2 + n - 3. Let d = 0 + -3. Let v = d - -6. Let u(m) = m**5 - m**4 - 1. Let f(k) = v*u(k) - t(k). Factor f(l).
l*(l - 1)**2*(l + 1)*(3*l - 1)
Let p(j) = -j**2 - 5*j + 38. Let m be p(-9). What is l in 4/5*l**3 - 1/5*l**4 - 6/5*l**m - 1/5 + 4/5*l = 0?
1
Let r(l) be the first derivative of l**8/6720 + l**7/3360 - l**6/1440 - l**5/480 + 2*l**3 - 7. Let j(f) be the third derivative of r(f). Factor j(s).
s*(s - 1)*(s + 1)**2/4
Suppose 19*t**3 - 23*t**3 + t**4 - 3*t + 5*t**2 + t = 0. Calculate t.
0, 1, 2
Suppose -7*s - 28 = -9*s. Suppose -4*b = -6 - s. Factor -9/2*k**4 + 3*k**3 + 2*k**b - 1/2*k**2 + 0*k + 0.
k**2*(k - 1)**2*(4*k - 1)/2
Let n(p) be the second derivative of p**5/60 - p**4/18 - p**3/18 + p**2/3 + 2*p. Factor n(z).
(z - 2)*(z - 1)*(z + 1)/3
Factor 2/3*b**4 - 2*b**3 - 4/3 + 2/3*b**2 + 2*b.
2*(b - 2)*(b - 1)**2*(b + 1)/3
Let z(n) be the first derivative of 0*n - 1/24*n**4 + 2 - 1/2*n**2 + 0*n**3 + 1/60*n**5. Let t(i) be the second derivative of z(i). Let t(l) = 0. What is l?
0, 1
Let w = -47/9 - -289/45. Solve 2/5*h**3 - 6/5*h**2 - 2/5 + w*h = 0 for h.
1
Suppose 5*j = 11*j. Let v be 0 - j - (-18)/45. Factor 6/5*u**2 + 0 + v*u.
2*u*(3*u + 1)/5
Let s(o) = -7*o**2 + 9*o + 3. Let p(c) = 3*c**2 - 4*c - 1. Let a(y) = 5*p(y) + 2*s(y). Solve a(i) = 0 for i.
1
Let m = -125 + 127. Factor 7/6*q**2 - 2/3 - m*q.
(q - 2)*(7*q + 2)/6
Factor -20*l**3 - 12*l**2 - 9*l**3 + 3*l**3 - 15*l**4 - 10*l**3.
-3*l**2*(l + 2)*(5*l + 2)
Let k(v) be the second derivative of -2*v**6/15 + 4*v**5/5 - 5*v**4/3 + 4*v**3/3 + 20*v. Factor k(r).
-4*r*(r - 2)*(r - 1)**2
Suppose 2*g + 6 = -3*n, -5*n - 15 = -2*n - g. Let t be 3/n*4/(-12). Find h, given that -1/4*h**2 + 1/2 + t*h = 0.
-1, 2
Let t(y) be the first derivative of y**4/60 - y**2/10 + 6*y + 6. Let x(n) be the first derivative of t(n). Factor x(g).
(g - 1)*(g + 1)/5
Let i(v) = -5*v - v**3 + 2*v - v - 4*v**2 + 1 + 0*v. Let t be i(-3). Factor 1/2*y**5 + 0 + y**t + 1/2*y**3 + 0*y**2 + 0*y.
y**3*(y + 1)**2/2
Let y(r) be the third derivative of r**6/60 + r**5/30 - r**4/12 - r**3/3 - 3*r**2. Solve y(u) = 0 for u.
-1, 1
Suppose -4 = -6*w + 2*w + 5*o, 5*w - 3*o = 5. Factor 1/2*b - w + 1/2*b**2.
(b - 1)*(b + 2)/2
Suppose -1/3*r**2 - 1/6*r**5 + 5/6*r**4 - r**3 - 1/2 + 7/6*r = 0. What is r?
-1, 1, 3
Let p = 30 - 88/3. Suppose 0 = 17*i - 1 - 33. Determine w so that 0*w + 0 - i*w**4 - p*w**2 + 8/3*w**3 = 0.
0, 1/3, 1
Let d be (-22)/(-77)*(-7)/(-36). Let z(o) be the third derivative of 0*o + 0 - d*o**3 - 3*o**2 + 7/360*o**5 - 5/144*o**4. Factor z(n).
(n - 1)*(7*n + 2)/6
Suppose 3*i + 3*y + 0*y + 99 = 0, -i - 2*y - 33 = 0. Let n(w) = w**2 - 6*w - 9. Let q(h) = 6*h**2 - 30*h - 45. Let s(p) = i*n(p) + 6*q(p). Factor s(u).
3*(u + 3)**2
Factor -7*k**3 - k**3 + 6*k**3.
-2*k**3
Let b(i) = -16*i. Let a be b(-1). Suppose h - 4*x = 0, 3*h + 6*x - 2*x = a. Find p, given that -p**2 - p**2 - 2*p**4 + h*p**2 = 0.
-1, 0, 1
Let s = -835 - -838. Suppose -2*y = m + 4*m + 15, -2*y + 3*m = -9. Determine n so that y*n - 2/3*n**2 + 0 + 2/3*n**s = 0.
0, 1
Let f(n) = n**4 + n**3 - n**2 + n - 1. Let q(h) = 2*h**5 - 10*h**4 + 8*h**3 - 2*h**2 - 2*h + 2. Let v(z) = 4*f(z) + 2*q(z). Suppose v(i) = 0. What is i?
0, 1, 2
Let o(t) be the third derivative of 4*t**7/105 + 3*t**6/20 + t**5/5 + t**4/12 + 3*t**2. Factor o(k).
2*k*(k + 1)**2*(4*k + 1)
Let y be (-3)/(4 - 1) + 3. Solve 6*v**4 + 8*v**2 - 3*v + 4*v**y + 0*v**3 - 6*v**3 - 9*v**3 = 0 for v.
0, 1/2, 1
Let u(z) be the second derivative of z**5/20 - 5*z**4/12 + z**3/2 + 9*z**2/2 + 24*z. Factor u(j).
(j - 3)**2*(j + 1)
Let p(j) be the first derivative of j**4/10 - j**2/5 + 4. Let p(c) = 0. What is c?
-1, 0, 1
Let s be 0 - (3/39*-4)/2. Solve 0 + 2/13*u**4 + 0*u + 0*u**3 - s*u**2 = 0 for u.
-1, 0, 1
Suppose 0 = -8*g + 7*g + 3. Let z(d) be the first derivative of 1 + 1/9*d**2 - 1/9*d**4 + 0*d + 0*d**g + 0*d**5 + 1/27*d**6. Factor z(w).
2*w*(w - 1)**2*(w + 1)**2/9
Let j be -1*(0 - -3 - -1). Let r(s) = s**3 + 5*s**2 + 5*s + 6. Let n be r(j). Factor 2*t**3 - 4*t**3 + n*t**5 + t**4 - 3*t**4 + 2*t**2.
2*t**2*(t - 1)**2*(t + 1)
Let r = 85/126 + -1/126. Let k be ((-4)/(-10))/((-3)/(-5)). Find i, given that -k*i + 0 + 0*i**2 + r*i**3 = 0.
-1, 0, 1
Let v(p) be the third derivative of p**5/12 - 5*p**4/6 + 5*p**3/2 - 7*p**2. Factor v(l).
5*(l - 3)*(l - 1)
Let u(o) be the third derivative of 4*o**2 + 0 + 0*o**3 + 1/360*o**6 + 1/180*o**5 + 0*o + 0*o**4. Suppose u(x) = 0. What is x?
-1, 0
Suppose -c**4 + 7*c**4 - c**3 - 4*c**4 - c**5 = 0. Calculate c.
0, 1
Suppose 0 = 2*j + j - 9. Suppose 2 = -j*u + 8. Factor -4*o**2 + 10*o**5 + 3*o - 3*o + 16*o**4 + u*o**3.
2*o**2*(o + 1)**2*(5*o - 2)
Suppose -18*l = -16*l - 8. Suppose -4/3*p**2 - 2/3*p**5 + 2*p**l + 2*p - 2/3 - 4/3*p**3 = 0. What is p?
-1, 1
Let q(b) be the third derivative of b**8/1008 - b**7/315 - b**6/360 + b**5/90 - 4*b**2. Let q(r) = 0. What is r?
-1, 0, 1, 2
Suppose -8 = 3*t - 4*o, 2*o = 2*t - 3*o + 10. Suppose -20*f = -8*f - 24. Factor -2/9*g - 2/9*g**3 + t - 4/9*g**f.
-2*g*(g + 1)**2/9
Let z(j) = -j**2 - 1. Let v(f) = -25*f**3 - 89*f**2 - 80*f - 24. Let k(h) = -v(h) + 4*z(h). Factor k(g).
5*(g + 1)*(g + 2)*(5*g + 2)
Let i(w) be the second derivative of -w**4/16 + w**3/12 - 11*w. Factor i(t).
-t*(3*t - 2)/4
Let j(s) = -6*s + 30. Let m be j(5). What is q in 0 + 1/4*q**3 - 1/4*q + m*q**2 = 0?
-1, 0, 1
Let h(m) = 3*m**3 - 5*m**2 + m + 3. Let c(u) = 6*u**3 - 10*u**2 + 2*u + 7. Let z(n) = -2*c(n) + 5*h(n). Factor z(r).
(r - 1)**2*(3*r + 1)
Let k(i) = -5*i**3 + 2*i**2 + 23*i - 17. Let j(u) = -5*u**3 + 3*u**2 + 22*u - 18. Let w(d) = -3*j(d) + 2*k(d). Solve w(c) = 0 for c.
-2, 1, 2
Let x(p) = p**2 + 4*p - 1. Let m be x(-5). Factor 0*i**2 + 4*i**2 + m + 6*i - 2*i**2.
2*(i + 1)*(i + 2)
Let f be (-2 - -3)/(-1) - -2. Let x be 0/(
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{
"pile_set_name": "DM Mathematics"
}
|
- 113*h. Let r(v) = 858*v. Calculate k(r(b)).
-736164*b**2 - 96954*b
Let r(n) be the second derivative of -5*n**3/2 + 17*n + 11. Let w(z) = -6*z + 16. Let j(u) = u - 3. Let m(a) = -16*j(a) - 3*w(a). Determine m(r(f)).
-30*f
Let u(v) be the first derivative of v**2 + 856. Let z(f) = -715*f. Determine u(z(d)).
-1430*d
Let d(p) = 4*p. Let w(y) = -13*y. Let t(m) = -248*m. Let n(l) = 3*l + 4. Let a be n(-20). Let o(s) = a*w(s) + 3*t(s). What is o(d(c))?
-64*c
Let t = 209 + -199. Let q(f) = -f**2 + 5*f**2 - t*f**2 + 5*f**2. Let z(g) be the first derivative of -2*g**3 + 1. Calculate q(z(k)).
-36*k**4
Let j(g) = 3*g. Let w(i) = 7*i - 185. Let c be w(0). Let u be (148/c)/(4/(-10)). Let f(z) = 727*z**u + 1 - 715*z**2 - 1. Calculate f(j(y)).
108*y**2
Let p(m) be the third derivative of -m**5/60 - 294*m**2 - 2*m - 4. Let g(k) = -k**2 + 2 - 52*k - 2. What is p(g(n))?
-n**4 - 104*n**3 - 2704*n**2
Let a(l) = -46*l**2. Let b(s) be the third derivative of 9*s**4/8 + 913*s**2. Give b(a(r)).
-1242*r**2
Let s(q) = q**2 + 5*q. Let w(d) = -15*d - 3*d + 17*d. Let m(o) = s(o) + 5*w(o). Let v(b) = -50*b - 2. Give m(v(x)).
2500*x**2 + 200*x + 4
Let k be (-1)/3 + ((-6039)/27)/(-11). Let f(d) = d + 1 + 5*d + d + k*d - 16*d. Let c(y) = -y**2. Calculate f(c(j)).
-11*j**2 + 1
Let u(c) = 12*c + 2. Let d(p) = 5*p**2 + 5*p - 7. Let n(z) = -2*z**2 - 3*z + 3. Let k(m) = 6*d(m) + 14*n(m). Determine u(k(v)).
24*v**2 - 144*v + 2
Let i(a) = a**2. Let p(c) = -556*c + 62. Let t(n) = 2*n + 6. Let k(g) = p(g) - 10*t(g). What is i(k(z))?
331776*z**2 - 2304*z + 4
Let h(m) = 6*m**2. Let i(d) = 1 - 3*d**2 + 7*d - 2*d - 5*d + 192. Calculate h(i(l)).
54*l**4 - 6948*l**2 + 223494
Let t(r) = -2*r - 5. Let p(c) = c + 3. Let q(v) = -5*p(v) - 3*t(v). Let m be (717/12)/(1/76). Let k(d) = m - 4*d**2 - 4541. What is q(k(z))?
-4*z**2
Let i(h) = 86*h**2 - 33*h - 3. Let m(p) = 262*p. Calculate m(i(d)).
22532*d**2 - 8646*d - 786
Let n(l) = 6*l. Let f(i) be the second derivative of 0*i**3 - 97*i + 0 + 1/3*i**4 + 0*i**2. Give n(f(a)).
24*a**2
Let u(j) = j**2. Let k(r) = r**3 + 2*r**2 - 11*r - 7. Let c be k(-4). Let o(g) = c - 3 - 4 + 16*g. Give u(o(a)).
256*a**2 - 64*a + 4
Let a(v) = -1321609 + 1321609 + 2*v. Let k(y) = 3931*y**2. Calculate a(k(u)).
7862*u**2
Let v(t) = 39*t - 5. Let b(f) = 23*f - 4. Let h(y) = 125*y - 22. Let l(j) = 11*b(j) - 2*h(j). Determine l(v(q)).
117*q - 15
Let n(m) = -5*m**2 - 9*m. Let j(h) be the first derivative of -h**2 - 133*h + 6881. What is j(n(i))?
10*i**2 + 18*i - 133
Let n(d) = -2*d. Let u(z) = -393*z - 299*z + 512*z. What is u(n(j))?
360*j
Let i(v) = -32*v + 8. Let a(t) = 1. Let l(u) = -8*a(u) + i(u). Let m(z) be the second derivative of 8 + 0*z**3 + 0*z**2 + 1/4*z**4 + 2*z. Determine l(m(y)).
-96*y**2
Let n(f) = 2*f**2. Let a(z) be the third derivative of -11*z**8/2880 - 61*z**5/60 + 152*z**2. Let c(h) be the third derivative of a(h). Give c(n(p)).
-308*p**4
Let d(k) be the first derivative of -k**4/4 + 22*k - 5. Let g(t) be the first derivative of d(t). Let b(c) = c**2 + 6*c**2 - 4*c**2 + 4*c**2. Determine g(b(x)).
-147*x**4
Let f(b) = 4*b**2 - 19*b + 32*b - 13*b. Let n(a) = a**2. Suppose 0 = -4*v + 14 + 6. Let r(u) = v*n(u) - f(u). Let l(o) = -o**2. Give l(r(k)).
-k**4
Let p(z) = 2*z**2. Let h(s) = 10*s + 32. Let q(m) = -30*m - 105. Let g(i) = -10*h(i) - 3*q(i). Calculate p(g(n)).
200*n**2 + 200*n + 50
Let g(t) = -10*t + 2. Let a(p) = 25185*p. Give g(a(l)).
-251850*l + 2
Suppose 0 = -k - 3*s - 12, 26 = -3*k - 25*s + 21*s. Let w(x) = 4*x. Let f(n) = 0*n - n - 4*n. Let a(q) = k*w(q) - 5*f(q). Let t(y) = 5*y. What is t(a(v))?
5*v
Let i(q) = -2*q**2. Let p(m) = 265*m - 13*m**2 - 53*m**2 - 10*m**2 + 74*m**2. What is p(i(y))?
-8*y**4 - 530*y**2
Let m(y) = -11*y. Suppose -14*x = 4*x - 14 - 40. Let v(j) be the first derivative of 1/3*j**x + 8 + 0*j + 0*j**2. Calculate v(m(r)).
121*r**2
Let g(z) be the third derivative of 0*z - 4/15*z**5 + 0 + 0*z**4 + 0*z**3 - 2*z**2. Let u(x) be the second derivative of -x**4/6 - 404*x. Calculate u(g(h)).
-512*h**4
Suppose -6*d = -109715 + 17405. Let b(t) = -15385 + d - 17*t. Let r(l) = 11*l**2. Calculate b(r(s)).
-187*s**2
Let v(f) = -f. Let x(k) be the second derivative of 7*k**4/6 - k**3/6 + 28*k**2 - k - 1970. Determine v(x(l)).
-14*l**2 + l - 56
Let w(u) = -69*u**2. Let i(j) = -37397*j**2 - j. Calculate i(w(a)).
-178047117*a**4 + 69*a**2
Let t(x) be the second derivative of 11*x**3/6 + 2*x. Let y(k) = -48*k - 51*k + 224*k - 53*k - 58*k. Give t(y(r)).
154*r
Let v(y) = -3*y. Let l(q) be the third derivative of 1981*q**5/60 - 1369*q**2. What is l(v(r))?
17829*r**2
Let y(k) = -2*k + 18. Let v(z) be the second derivative of -z**5/60 - 89*z**2/2 - 24*z. Let w(i) be the first derivative of v(i). What is w(y(h))?
-4*h**2 + 72*h - 324
Let g(x) = 431*x**2. Let f(w) = -5*w**2 - 6*w - 8. Let u(i) = 27*i**2 + 33*i + 44. Let v(l) = -11*f(l) - 2*u(l). What is v(g(c))?
185761*c**4
Let i(g) = -g**3 - 5*g**2 + g - 3. Let b be i(-5). Let m = -6 - b. Let d(r) = -1 - 7 + 8 - 11*r**m. Let u(z) = 2*z. Give d(u(x)).
-44*x**2
Let f(s) = s. Let v(y) be the first derivative of -55*y**3/3 - 4*y**2 + 5*y - 46. Let m(h) = -2*h + 1. Let x(i) = 5*m(i) - v(i). What is x(f(j))?
55*j**2 - 2*j
Let d(z) be the first derivative of -z**3/3 + 238*z - 30. Let r(i) be the first derivative of d(i). Let s(m) = -2*m**2 + 69*m. What is r(s(n))?
4*n**2 - 138*n
Let f(m) = -144525847*m. Let d(z) = 2*z**2. Determine f(d(l)).
-289051694*l**2
Let g(v) be the third derivative of v**7/280 - 15*v**4/2 - 7*v**2 + 6. Let o(j) be the second derivative of g(j). Let h(y) = 35*y. Calculate h(o(x)).
315*x**2
Let w(d) be the second derivative of 1/6*d**4 + 0*d**2 + 0 - 32*d + 0*d**3. Let a(t) = 5*t + 0*t - 3*t. What is w(a(o))?
8*o**2
Let u(s) = -s + 424935. Let n(f) = -198*f**2. Determine u(n(k)).
198*k**2 + 424935
Let q(v) = v + 14. Let p(g) = -g - 13. Let c be 12/(-2) + 2 + -2. Let r(u) = c*p(u) - 4*q(u). Let k(t) = 211*t + 212*t - 625*t + 204*t. What is k(r(s))?
4*s + 44
Let i(t) = 3314505*t. Let m(v) = 2*v. Calculate i(m(u)).
6629010*u
Let l(z) = 12*z**2 + 96*z - 2. Let w(h) = -5*h**2 - 72. Calculate l(w(f)).
300*f**4 + 8160*f**2 + 55294
Let h(q) = -40*q**2. Let y(b) = b**2 + 2*b + 2. Let p(z) = 122*z + 121*z - 1 - 244*z. Let j(u) = -2*p(u) - y(u). What is j(h(a))?
-1600*a**4
Let m(k) = -77*k**2 + 21. Let n(p) = -3*p. Give n(m(i)).
231*i**2 - 63
Let h(w) = 3458*w**2. Let g(s) = 12*s**2 - 3*s - 12. Let x(y) = -3*y**2 + y + 4. Let q(l) = g(l) + 3*x(l). Give h(q(u)).
31122*u**4
Let s(h) = h**2. Let a(f) = -48*f - 10. Let x(c) = 1943*c + 406. Let d(q) = -15*q + 10. Let l be d(1). Let t(v) = l*x(v) - 203*a(v). Determine t(s(p)).
29*p**2
Let l(z) = -1019*z - 4. Let r(u) = 12230*u + 50. Let m(o) = 25*l(o) + 2*r(o). Let v(a) = -a**2. What is m(v(f))?
1015*f**2
Let t(f) = -7962*f**2. Let b(v) = -205852*v. Calculate t(b(i)).
-337390115487648*i**2
Let s(r) = 6063*r**2 + 6*r. Let a(i) = -53*i**2. Determine s(a(q)).
17030967*q**4 - 318*q**2
Let a(x) = 5*x**2. Let f(p) be the first derivative of 21*p**2/2 + 3*p + 1542. Give a(f(n)).
2205*n**2 + 630*n + 45
Let u(h) = 3*h + 10. Let m(r) = 4*r. Let i(z) = -10*m(z) + 5*u(z). Let s(c) = -56*c + 99. Let l(k) = 9*i(k) - 4*s(k). Let y(j) = -2*j. Calculate y(l(w)).
2*w - 108
Let m(i) be the second derivative of -i**5/30 + 11*i**2 - 48*i. Let f(s) be the first derivative of m(s). Let k(q) = -14*q + 4*q - 2*q. Determine k(f(j)).
24*j**2
Let c(w) = w. Let t(i) = -38781*i**2 - 62. Let b(f) = 7755*f**2 + 12. Let g(h) = -31*b(h) - 6*t(h). Give g(c(z)).
-7719*z**2
Let g(y) = -52*y - 2. Let a(d) = 55 - 31 - 2*d**2 - 24. Determine a(g(s)).
-5408*s**2 - 416*s - 8
Let t(q) = 221*q**2. Let s(j) = 19*j**2 + 55. Let v(w) = -2*w**2 - 11. Let m(d) = -s(d) - 5*v(d). Give t(m(x)).
17901*x**4
Let y(a) = a**2 + 2. Let n(j) be the third derivative of j**5/3 + 1939*j**2. Determine n(y(g)).
20*g**4 + 80*g**2 + 80
Let k(s) = -5*s + 4. Suppose 30 - 34 = p. Let z be p/8 + 2/(-4). Let g(l) = -l + 1. Let d(t) = z*k(t) + 4*g(t). Let a(o) = 4*o. Calculate d(a(c)).
4*c
Let p(t) = -226*t. Let w(v) = 99*v**2. Determine p(w(i)).
-22374*i**2
Let q(j) = -j. Let f(o) be the second derivative of -11*o**4/6 + 814*o. Determine f(q(c)).
-22*c**2
Let n(t) = -6*t. Let u(f) = 20*f. Let p(q) = -21*n(q) -
|
{
"pile_set_name": "DM Mathematics"
}
|
re there between 5:13 AM and 5:02 PM?
709
How many minutes are there between 6:14 PM and 10:28 PM?
254
How many minutes are there between 12:45 PM and 10:41 PM?
596
What is 504 minutes before 1:14 AM?
4:50 PM
How many minutes are there between 5:27 AM and 10:22 AM?
295
How many minutes are there between 8:51 AM and 9:01 AM?
10
How many minutes are there between 1:35 PM and 3:36 PM?
121
How many minutes are there between 1:09 AM and 9:09 AM?
480
What is 97 minutes before 8:28 PM?
6:51 PM
How many minutes are there between 7:16 AM and 2:12 PM?
416
How many minutes are there between 3:08 AM and 9:21 AM?
373
How many minutes are there between 1:45 AM and 5:45 AM?
240
How many minutes are there between 10:50 AM and 3:43 PM?
293
How many minutes are there between 9:34 PM and 12:21 AM?
167
How many minutes are there between 8:45 PM and 8:05 AM?
680
What is 10 minutes after 12:52 AM?
1:02 AM
How many minutes are there between 1:55 AM and 6:06 AM?
251
What is 620 minutes after 6:04 AM?
4:24 PM
How many minutes are there between 10:01 PM and 4:17 AM?
376
How many minutes are there between 1:11 PM and 1:51 PM?
40
What is 457 minutes before 10:29 PM?
2:52 PM
How many minutes are there between 9:12 PM and 9:47 PM?
35
What is 92 minutes after 2:20 AM?
3:52 AM
What is 293 minutes after 12:16 AM?
5:09 AM
How many minutes are there between 4:23 PM and 11:08 PM?
405
What is 501 minutes before 4:53 AM?
8:32 PM
How many minutes are there between 7:50 AM and 3:00 PM?
430
What is 25 minutes before 6:09 PM?
5:44 PM
How many minutes are there between 12:11 PM and 5:36 PM?
325
What is 617 minutes after 5:59 AM?
4:16 PM
What is 587 minutes after 7:35 PM?
5:22 AM
How many minutes are there between 1:56 PM and 4:31 PM?
155
What is 305 minutes before 11:00 PM?
5:55 PM
What is 217 minutes after 8:36 AM?
12:13 PM
How many minutes are there between 8:20 AM and 8:59 AM?
39
What is 238 minutes after 1:11 AM?
5:09 AM
What is 181 minutes before 1:02 PM?
10:01 AM
How many minutes are there between 1:50 PM and 8:59 PM?
429
What is 520 minutes before 7:11 AM?
10:31 PM
How many minutes are there between 3:50 AM and 8:46 AM?
296
What is 158 minutes after 2:23 AM?
5:01 AM
How many minutes are there between 6:24 PM and 11:39 PM?
315
How many minutes are there between 9:49 PM and 11:36 PM?
107
How many minutes are there between 6:18 PM and 3:48 AM?
570
How many minutes are there between 6:59 PM and 11:12 PM?
253
What is 528 minutes after 1:41 AM?
10:29 AM
What is 585 minutes before 11:17 AM?
1:32 AM
What is 254 minutes after 9:29 AM?
1:43 PM
What is 96 minutes before 10:06 PM?
8:30 PM
How many minutes are there between 3:40 PM and 5:24 PM?
104
What is 584 minutes before 6:48 PM?
9:04 AM
How many minutes are there between 4:31 AM and 7:04 AM?
153
How many minutes are there between 5:48 AM and 9:17 AM?
209
How many minutes are there between 12:28 PM and 11:32 PM?
664
What is 92 minutes after 9:17 AM?
10:49 AM
How many minutes are there between 4:57 AM and 7:22 AM?
145
How many minutes are there between 8:56 PM and 10:24 PM?
88
What is 609 minutes after 6:53 PM?
5:02 AM
How many minutes are there between 9:13 PM and 11:45 PM?
152
What is 678 minutes after 9:27 AM?
8:45 PM
How many minutes are there between 7:49 PM and 6:50 AM?
661
How many minutes are there between 9:12 AM and 2:32 PM?
320
What is 462 minutes before 11:46 AM?
4:04 AM
What is 591 minutes after 1:33 AM?
11:24 AM
How many minutes are there between 8:38 AM and 8:23 PM?
705
How many minutes are there between 4:46 PM and 3:25 AM?
639
How many minutes are there between 5:27 AM and 6:19 AM?
52
How many minutes are there between 11:53 PM and 9:36 AM?
583
How many minutes are there between 1:40 AM and 4:32 AM?
172
How many minutes are there between 7:35 AM and 7:20 PM?
705
How many minutes are there between 10:44 AM and 10:55 AM?
11
How many minutes are there between 4:10 AM and 12:21 PM?
491
What is 693 minutes after 8:16 AM?
7:49 PM
What is 367 minutes before 2:13 AM?
8:06 PM
What is 231 minutes before 6:01 PM?
2:10 PM
How many minutes are there between 9:40 AM and 2:29 PM?
289
How many minutes are there between 5:52 AM and 9:48 AM?
236
How many minutes are there between 6:46 AM and 10:23 AM?
217
How many minutes are there between 12:26 PM and 8:12 PM?
466
How many minutes are there between 12:09 PM and 9:58 PM?
589
How many minutes are there between 4:04 AM and 3:46 PM?
702
What is 176 minutes after 12:18 AM?
3:14 AM
How many minutes are there between 4:52 AM and 12:44 PM?
472
What is 564 minutes after 2:49 PM?
12:13 AM
What is 408 minutes before 10:01 PM?
3:13 PM
What is 54 minutes before 10:20 AM?
9:26 AM
What is 186 minutes after 4:30 AM?
7:36 AM
What is 663 minutes before 5:19 PM?
6:16 AM
What is 27 minutes after 6:37 AM?
7:04 AM
How many minutes are there between 2:31 AM and 11:05 AM?
514
How many minutes are there between 2:14 PM and 4:24 PM?
130
How many minutes are there between 6:24 PM and 12:49 AM?
385
How many minutes are there between 7:08 PM and 11:18 PM?
250
How many minutes are there between 3:02 AM and 6:59 AM?
237
How many minutes are there between 5:42 PM and 4:29 AM?
647
What is 595 minutes before 3:34 AM?
5:39 PM
How many minutes are there between 3:03 PM and 2:35 AM?
692
How many minutes are there between 1:47 PM and 1:12 AM?
685
How many minutes are there between 5:19 PM and 7:44 PM?
145
How many minutes are there between 11:20 AM and 4:37 PM?
317
How many minutes are there between 7:07 AM and 4:37 PM?
570
What is 680 minutes after 11:33 AM?
10:53 PM
How many minutes are there between 12:25 AM and 5:27 AM?
302
How many minutes are there between 9:18 PM and 6:08 AM?
530
How many minutes are there between 7:48 AM and 2:56 PM?
428
How many minutes are there between 8:02 AM and 8:04 AM?
2
How many minutes are there between 6:31 AM and 12:16 PM?
345
How many minutes are there between 9:41 PM and 2:51 AM?
310
How many minutes are there between 8:18 AM and 7:25 PM?
667
How many minutes are there between 11:18 PM and 4:20 AM?
302
How many minutes are there between 5:04 AM and 12:47 PM?
463
How many minutes are there between 10:09 AM and 7:07 PM?
538
What is 644 minutes before 4:43 PM?
5:59 AM
How many minutes are there between 10:30 AM and 2:26 PM?
236
What is 39 minutes before 5:35 PM?
4:56 PM
What is 682 minutes before 1:45 PM?
2:23 AM
How many minutes are there between 9:48 AM and 10:23 AM?
35
What is 373 minutes before 8:41 AM?
2:28 AM
How many minutes are there between 3:32 AM and 11:09 AM?
457
What is 485 minutes before 3:38 AM?
7:33 PM
What is 641 minutes after 1:06 PM?
11:47 PM
What is 459 minutes after 10:52 AM?
6:31 PM
How many minutes are there between 7:15 AM and 2:01 PM?
406
What is 366 minutes before 1:54 AM?
7:48 PM
How many minutes are there between 1:36 PM and 8:10 PM?
394
What is 493 minutes after 4:12 AM?
12:25 PM
What is 355 minutes before 8:34 AM?
2:39 AM
What is 60 minutes before 5:39 PM?
4:39 PM
How many minutes are there between 5:09 PM and 11:21 PM?
372
How many minutes are there between 12:38 PM and 9:05 PM?
507
How many minutes are there between 2:12 PM and 11:56 PM?
584
What is 647 minutes before 5:35 PM?
6:48 AM
How many minutes are there between 7:54 PM and 7:37 AM?
703
How many minutes are there between 11:48 AM and 6:47 PM?
419
How many minutes are there between 11:21 PM and 7:48 AM?
507
What is 355 minutes before 1:22 AM?
7:27 PM
How many minutes are there between 10:48 AM and 6:26 PM?
458
What is 327 minutes after 7:57 AM?
1:24 PM
What is 175 minutes after 3:09 PM?
6:04 PM
What is 266 minutes after 4:01 PM?
8:27 PM
How many minutes are there between 4:36 PM and 8:31 PM?
235
How many minutes are there between 4:49 PM and 9:19 PM?
270
How many minutes are there between 12:42 PM and 8:30 PM?
468
What is 690 minutes before 12:56 PM?
1:26 AM
How many minutes are there between 11:00 PM and 10:37 AM?
697
What is 517 minutes after 6:24 AM?
3:01 PM
How many minutes are there between 7:56 AM and 3:21 PM?
445
What is 96 minutes before 5:33 PM?
3:57 PM
How many minutes are there between 3:54 PM and 3:25 AM?
691
How many minutes are there between 4:14 PM and 4:53 PM?
39
What is 191 minutes before 11:05 PM?
7:54 PM
What is 557 minutes before 12:31 AM?
3:14 PM
How many minutes are there betwe
|
{
"pile_set_name": "DM Mathematics"
}
|
from -170060.177.
-208158.177
Work out -5.4911142 - 3206.
-3211.4911142
Add together -3.68 and 53811.7733.
53808.0933
What is -32.28730411622 plus 0?
-32.28730411622
What is -7836.1 - -64.423592?
-7771.676408
Sum 36595753.1 and -6736.
36589017.1
Work out -8181.33623 - 49802.
-57983.33623
2.2251421+-8652
-8649.7748579
Work out -1.42 - 75635257.0502.
-75635258.4702
Total of -325.6553446 and -2.103.
-327.7583446
-2+13362337672691
13362337672689
Add together -14.276601 and -2266754.
-2266768.276601
Add 280879186121.5 and 0.059.
280879186121.559
-0.65 + 76.883028588
76.233028588
Work out 3524881515567 + -0.22.
3524881515566.78
Add 0 and 37933430260327.
37933430260327
Calculate 349539.90385 - -0.4.
349540.30385
Put together -5 and 145188866220308.
145188866220303
Calculate 1860877 + 161234.
2022111
What is -2.535 - -905688075?
905688072.465
Total of -3922.422 and 24.7.
-3897.722
Work out -867631 - -65831229.
64963598
What is 1834421405 take away -23785?
1834445190
-2 + -5188521973
-5188521975
Subtract 4607391.3 from 838.
-4606553.3
What is 3 - 13.823385633?
-10.823385633
Calculate 0.3 - -2.305870278443.
2.605870278443
-0.33+-50616223789
-50616223789.33
Subtract 282116738 from -1197.
-282117935
What is -160935644124.41 plus 0?
-160935644124.41
What is 8792 take away 1101275055?
-1101266263
-15.25833392+-12
-27.25833392
Subtract -1940717 from -304078143.
-302137426
Sum -2.190307185 and 0.105.
-2.085307185
Total of -20502100351533 and 1.1.
-20502100351531.9
What is 58527455 take away -11805?
58539260
What is 433245.7 minus -186668?
619913.7
What is -1876478 - 146691.95?
-2023169.95
What is -201 take away -0.4839564?
-200.5160436
What is -11.616347328 - -0.6894?
-10.926947328
What is the distance between 1.3780728 and 0.667643?
0.7104298
Work out 187.500386307 + 2.
189.500386307
5792643054106 + 0.1
5792643054106.1
49.87499 - -154354004
154354053.87499
Total of 36761605877425 and -4.
36761605877421
49390997785129+0
49390997785129
-2193.677513+0.35621
-2193.321303
What is -4 less than -1669886604175.4?
-1669886604171.4
Total of -7987831 and -639585.
-8627416
What is -2169159780 + -21.88?
-2169159801.88
Calculate -174 - -40361416760.
40361416586
Calculate 1.3 + -1544492404.
-1544492402.7
-2588.32 + -646845
-649433.32
Work out 770284 + -261571.9.
508712.1
What is -220222016507 take away 0.5?
-220222016507.5
What is 3.57 + 1435569955?
1435569958.57
Add -74.01 and 2570422.
2570347.99
Work out 2.35 - -44921062194.
44921062196.35
What is 25919856897 + 2806?
25919859703
-275 + 0.2819417942
-274.7180582058
-18702.47894 + -180335
-199037.47894
What is the difference between 1050198834938 and 1?
1050198834937
Put together 131019335531 and 1.429.
131019335532.429
-1822704572 - -5796
-1822698776
What is -0.05 less than -197188100.04?
-197188099.99
What is the difference between -138614576 and 1.99597?
138614577.99597
What is -5 take away 1276577829326?
-1276577829331
What is 5116467.2 - 0.056346?
5116467.143654
Put together 1130.8463 and -123009.
-121878.1537
What is 5 + 1.117096051922?
6.117096051922
1073.73279691 - -67
1140.73279691
Calculate -0.326980618 + 155.
154.673019382
What is the difference between -161.1 and 29.4808121144?
190.5808121144
Work out 40688.038836692 + -0.3.
40687.738836692
Add -0.8295 and 954602.
954601.1705
What is -95588.302 take away 0.17797?
-95588.47997
What is 712136427482.74 - 0.4?
712136427482.34
What is 1330.18 minus -0.1854813175?
1330.3654813175
186246.1706 - 405
185841.1706
2.34 - -3078.074383
3080.414383
What is -12326829 plus -11435355?
-23762184
What is 0.24098 take away -111665583?
111665583.24098
What is the distance between -5 and 898849.34208?
898854.34208
Work out 87784587565 - 0.4.
87784587564.6
Put together -23793181720628 and -0.7.
-23793181720628.7
19749.441628+-0.47
19748.971628
-370.57 - 3960415
-3960785.57
What is 218806798 - -33?
218806831
-125.271016666541 - 0.3
-125.571016666541
Work out -184733 - 2942.37406.
-187675.37406
747 - -403153159.73
403153906.73
Add together -2296389370 and 4614.
-2296384756
Add 0.5 and -607539270766.
-607539270765.5
Add together -424.31 and -139426868.
-139427292.31
Work out 603294055.98 - 0.5.
603294055.48
Add -20 and 26483116276.
26483116256
What is 558365343 less than -82.1446?
-558365425.1446
What is -969097 take away 4638987?
-5608084
Work out -23929302163 + 34.
-23929302129
What is 727 take away 695625.572?
-694898.572
What is -28 + 1148801656395?
1148801656367
Add -0.618357 and -0.165933.
-0.78429
What is -3.9475412 - -0.618082?
-3.3294592
What is 111685842684 less than -28?
-111685842712
Work out 375191 + 2756085.1.
3131276.1
What is 0.37 less than 30515507802?
30515507801.63
What is the distance between 0.958 and -6981216?
6981216.958
-103540437 - 5960
-103546397
What is the distance between -195 and -625881873?
625881678
What is -158843 plus 41.1334?
-158801.8666
What is 13814.409485 + -73461?
-59646.590515
Sum 0.002372039384 and -3197.
-3196.997627960616
-1624912 + 126813235
125188323
Calculate -556531289 + -75329.
-556606618
Calculate -653119.5 + 29218422.
28565302.5
Add -131681364 and 86550.
-131594814
Add together -1.399 and 0.5496280557.
-0.8493719443
3500 + -2319.014601
1180.985399
Add together 0 and -241812427433128.
-241812427433128
-0.1935 - 3133335.95939
-3133336.15289
What is 1001 less than 824066516?
824065515
What is 48796 less than -19.998141?
-48815.998141
What is 101688.176 - -0.5965?
101688.7725
Sum -0.781598365 and 2.
1.218401635
Add together -5729 and 192479952863.
192479947134
What is -212500 minus 68.8031?
-212568.8031
Total of -0.249829345 and -1756.
-1756.249829345
Put together -137376515 and 35276.
-137341239
79537016.19188+-1
79537015.19188
What is -39292802 plus -21204760?
-60497562
0.1+-8935.6877819169
-8935.5877819169
What is -383458.2 + 1227.61?
-382230.59
Calculate -0.02 + -105115166655050.
-105115166655050.02
Calculate 2.42051 - 11824329.
-11824326.57949
What is 74981057502 minus -2?
74981057504
Work out 98 - -739757673911.
739757674009
What is 2038 - -183834811?
183836849
18050 + -390451.5324
-372401.5324
Put together 693605.80178 and 3.
693608.80178
Sum -6635588 and 0.1568428.
-6635587.8431572
Work out -5660 - -1.755140064.
-5658.244859936
0.07256524 + 72925
72925.07256524
What is the distance between 325388734.278 and -0.3?
325388734.578
Add together 4.906729483 and -1.
3.906729483
30313.727 + 7.0884
30320.8154
Put together 0.09056909 and 71970986.
71970986.09056909
What is 24.4670544 - 118.0255?
-93.5584456
-94733185036957 + -9
-94733185036966
What is 31 less than -498308006316?
-498308006347
Add together 2753178140568 and -4.
2753178140564
-334 + 1335694428
1335694094
What is the difference between 535.2636876 and -2.51?
537.7736876
Add -2385.2246654 and -50.3.
-2435.5246654
Work out 26971951.1488 + -0.5.
26971950.6488
What is -27520708 take away -1816440?
-25704268
Subtract -2320278723.03 from -0.037.
2320278722.993
Subtract 5 from 476748337.48.
476748332.48
What is the distance between 210.621757185 and 43?
167.621757185
Work out -32679.07807 + -0.52.
-32679.59807
What is -0.1 take away 127710802183?
-127710802183.1
What is 6066.6445 less than -749785?
-755851.6445
Add together 3103.13493018 and 2.
3105.13493018
Work out -0.122072154 + 41.98.
41.857927846
Add together 27588202 and 0.6872061.
27588202.6872061
Calculate 934.7037 + -46780.
-45845.2963
Work out -576885.30641795 - 0.
-576885.30641795
What is 3370091809.2 + 4666?
3370096475.2
Subtract -0.0634750704776 from -2325.
-2324.9365249295224
Add together 856.5065788 and 6.8.
863.3065788
What is -12414553 - 3679.978?
-12418232.978
0.1496234+-0.7026927
-0.5530693
-195191971385+2
-195191971383
What is 264776076 - 28.359?
264776047.641
What is 18 plus 0.005131686493?
18.005131686493
-2102099511191+0.6
-2102099511190.4
Sum -0.038257 and -2350.864017.
-2350.902274
Add together 1.7 and -5724685559819.
-5724685559817.3
Calculate 16460395.59 - 949233.
15511162.59
Calculate -0.15121 + -3.9341195.
-4.0853295
What is 1238 minus 225797457652?
-225797456414
Total of -6 and -2401465647616.
-2401465647622
What is -13932589906.1 take away -1?
-13932589905.1
Add -2782249 and -21987.
-2804236
Work out -628 - -2004465369.
2004464741
Add -0.1 and 0.4622474434906.
0.3622474434906
What is the difference
|
{
"pile_set_name": "DM Mathematics"
}
|
+ x**4/6 + 19*x**3/3 + 2317*x**2 - 5249*x. What is the derivative of t(b) wrt b?
-116*b**3 + 4*b + 38
Let t(z) = -z + 16. Let o be t(12). Suppose 2*r + 18 = 4*r. Find the second derivative of -r*n - 20*n**4 - 18*n**5 + 20*n**o wrt n.
-360*n**3
Let a(m) = 7*m - 86. Let b be a(13). What is the second derivative of 135*y + 24*y**5 - y**b - 7*y**5 + y**5 + 28*y**5 wrt y?
900*y**3
Let v(j) be the third derivative of -9*j**5 + 204*j**3 + 946*j**2. Find the first derivative of v(o) wrt o.
-1080*o
Let j(i) be the first derivative of -24*i**5/5 - i**4/4 - 4*i**3/3 + 5207*i**2/2 + 9000. Find the second derivative of j(q) wrt q.
-288*q**2 - 6*q - 8
Let y(k) = k**2 + 40*k + 81. Let z be y(-38). Find the third derivative of 35*i**2 - 78*i**4 + 9251*i**z - 9251*i**5 + 2*i**6 wrt i.
240*i**3 - 1872*i
Let r(i) = 7*i - 27. Let k be r(5). What is the first derivative of -13*a + 36*a - 8*a + 53 - k*a wrt a?
7
Suppose 10*p = 6*p + 212. Let d = -19 + p. What is the third derivative of -61*u**5 + 26*u**5 + 15*u**2 + d*u**5 wrt u?
-60*u**2
What is the second derivative of 931*l - 166*l**3 + 94*l**3 - 76*l**3 - 284*l**3 + l**2 wrt l?
-2592*l + 2
Let m(h) = -h**3 - 15*h**2 - 13*h + 17. Let u be m(-14). What is the third derivative of -95*y**2 - 91*y**2 + 189*y**2 - 154*y**u wrt y?
-924
Let b(k) be the first derivative of -5412*k**2 + 11495*k - 12041. What is the first derivative of b(n) wrt n?
-10824
Let j(v) be the third derivative of 625*v**4/24 - 1487*v**3/6 + 2359*v**2. Find the first derivative of j(i) wrt i.
625
Let j(z) be the third derivative of -95*z**9/252 + 89*z**5/4 - 554*z**2. Find the third derivative of j(k) wrt k.
-22800*k**3
Find the third derivative of -231 + 59 - 5*d + 32*d**4 + 44 - 8*d**3 + 74 - 2*d**2 wrt d.
768*d - 48
Let s(q) = q**3 - 12*q**2 - q + 14. Let x be s(12). Suppose 6 = 2*n + 2, x*n = y. Find the third derivative of 9*w**6 + 3*w**6 + y*w**2 + 3*w**2 wrt w.
1440*w**3
Let j(w) = 9*w + 16. Let y be j(6). What is the derivative of 49*c - y + 361 + 14*c - 26*c wrt c?
37
Let y(k) be the first derivative of k**4/12 + k**3/3 - 65*k**2/2 + 17*k + 87. Let v(u) be the first derivative of y(u). Find the first derivative of v(z) wrt z.
2*z + 2
Let n(y) = 44*y - 162. Let i(d) = -26 - 48 + 31*d - 76 + 13*d - 11. Let f(m) = 4*i(m) - 5*n(m). What is the first derivative of f(k) wrt k?
-44
Find the second derivative of 0*f**2 + 5*f**2 - 1038*f + 3191*f**3 - 1984*f**3 - 5*f**2 wrt f.
7242*f
Let i(d) be the second derivative of -3*d**8/28 + 33*d**6/10 + d**4/3 + 895*d**2/2 - 131*d - 4. Find the third derivative of i(j) wrt j.
-720*j**3 + 2376*j
Find the third derivative of 6776*n**2 - 488*n**2 + 6*n**3 - 6*n**3 - 237*n**6 - 7*n**3 wrt n.
-28440*n**3 - 42
Let y(a) = 38328*a**4 - 22077*a**2 - 29*a. Let z(w) = -10453*w**4 + 6021*w**2 + 8*w. Let s(v) = -8*y(v) - 29*z(v). What is the third derivative of s(f) wrt f?
-83688*f
Let x(s) = -s**3 + 11*s**2 + 18*s + 19. Let t be x(13). Let p = 91 + t. What is the first derivative of 6*o + p - 17 + 0 wrt o?
6
Let m(t) = -2941*t + 71. Let v(k) = -741*k + 18. Let q(z) = -6*m(z) + 22*v(z). Find the first derivative of q(f) wrt f.
1344
Suppose -747 = -t - 247. Let m(y) = -88*y + 618. Let g be m(7). What is the derivative of 500*p + 16*p**g + 7 - t*p wrt p?
32*p
What is the first derivative of -443963 - 447858 + 2*p - 3605*p**3 + 888880 wrt p?
-10815*p**2 + 2
Find the third derivative of -71*t**4 - 17 - 891*t**6 + 66*t**2 + 61*t**2 + 888*t**6 - 113*t**2 wrt t.
-360*t**3 - 1704*t
Let r(w) be the second derivative of -9*w**5/10 - 47*w**4/12 + 11*w**3/3 - 3*w**2/2 + 9*w. What is the second derivative of r(y) wrt y?
-108*y - 94
Find the third derivative of 361667*i**2 - 13*i + 1089*i**6 + 31*i - 361694*i**2 wrt i.
130680*i**3
Let d(p) be the second derivative of 0*p**6 + 0*p**5 + 0*p**2 - 1/6*p**4 - 51 + 13/21*p**7 + 2*p - 43/2*p**3. Find the second derivative of d(r) wrt r.
520*r**3 - 4
Let z(m) be the third derivative of 203*m**6/120 + 745*m**3/3 + 3*m**2 + 33. What is the derivative of z(b) wrt b?
609*b**2
Suppose 0 = -2*d - 4*u + 16, 2*d = -d + 4*u - 6. What is the first derivative of 49*q - 32 + 52*q - 101*q - 13*q**d wrt q?
-26*q
What is the second derivative of -565*o + 3918*o**2 + o**3 - 7844*o**2 + 3927*o**2 wrt o?
6*o + 2
What is the second derivative of 1 + 63*y**3 - 4219*y + 5038*y - 22*y**2 + 8*y**2 + 2 wrt y?
378*y - 28
Let f(c) be the first derivative of 0*c**5 + 0*c**4 + 0*c**6 - 354/7*c**7 + 0*c**2 - 2/3*c**3 - 63*c + 68. What is the third derivative of f(p) wrt p?
-42480*p**3
Let v be 5*((-16)/(-10))/(-4) - -25. Differentiate -1 - 112 - v*k**3 - 7 with respect to k.
-69*k**2
Let j(c) be the first derivative of -401*c**4/2 + 3407*c**2/2 - 512. Find the second derivative of j(n) wrt n.
-4812*n
Suppose o - 4 + 3 = 0. Let n = o - -1. What is the third derivative of -10*a**4 - 172*a**n + 217*a**2 + 0*a**4 wrt a?
-240*a
Let d(t) be the first derivative of -8*t**3 - 45*t + t**2 - 37*t - 13*t**3 - 12 + 91*t. Find the second derivative of d(w) wrt w.
-126
Find the second derivative of -5553 - 5555 + 1739*b - 6*b**4 + 16665 - 55*b**2 - 5554 + b**3 wrt b.
-72*b**2 + 6*b - 110
Let d(j) be the third derivative of -j**8/336 - 193*j**7/70 - j**6/120 + 1717*j**5/60 + 1219*j**2 + j. What is the third derivative of d(y) wrt y?
-60*y**2 - 13896*y - 6
Let x(o) be the second derivative of -5*o + 33/2*o**2 + 0*o**3 - 97/20*o**5 + 0 - 1/6*o**4. What is the third derivative of x(q) wrt q?
-582
What is the third derivative of -10*t**2 - 14*t**2 + 87945*t - 6761*t**3 - 87909*t wrt t?
-40566
Let q(o) = -o. Let t be q(-1). Let x be (-11 + 8)/(-1*t). Find the third derivative of -9*i**2 - 2*i**3 + 61*i**2 + x*i**3 - 32*i**2 wrt i.
6
Let d be ((-33)/(-22))/((-3)/(-8)). Suppose -f + 188 = -300. What is the second derivative of -f*t**3 + 6*t + 495*t**3 + d - 4 wrt t?
42*t
Let j(k) be the third derivative of -4*k**7/105 + 4*k**5/5 + 13*k**4/6 - 4*k**3/3 - 260*k**2 + 2*k. What is the second derivative of j(z) wrt z?
-96*z**2 + 96
Suppose 44*t = 5*m + 48*t - 679, -4*m + 552 = t. Find the third derivative of -25 + 23 + m*p**3 - 20*p**2 + 6 wrt p.
834
Let x(h) be the third derivative of 191*h**6/24 - h**5/30 - 407*h**4/12 + h**2 - 337*h. Find the second derivative of x(i) wrt i.
5730*i - 4
Suppose 22*q = 8*q + 294. Find the third derivative of 2918*f**5 - 28*f**2 - q*f**2 - 2871*f**5 - 19*f**2 wrt f.
2820*f**2
Suppose -y = -18 + 12. Suppose 338 = -4*l + y*l. What is the second derivative of -79*k**3 - 76*k**3 + k + l*k**3 wrt k?
84*k
Let m(c) = -c**3 - 47*c**2 + 18*c + 848. Let z be m(-47). Let p(y) be the first derivative of 20/3*y**3 + 0*y**z + 5*y + 1. Differentiate p(n) wrt n.
40*n
Let n(c) be the first derivative of -663*c**3 - 3*c**2/2 + 394*c - 1590. What is the second derivative of n(l) wrt l?
-3978
Suppose -8*s + 34 = -7*s. Suppose s = 4*l + 10. Find the second derivative of 3*j + l*j - 6*j**2 - 5*j**2 wrt j.
-22
Let t be (-2 + 4)*3/(-2). Let h be t - (-2 - -2 - 26)*2. What is the first derivative of -18*p**3 + h*p**2 - 49*p**2 + 14 wrt p?
-54*p**2
Let i(x) = -13*x + 13. Let z be i(0). Find the first derivative of 29*j - 49*j**4 + 23 - 29*j + z wrt j.
-196*j**3
Let z(p) = -p**3 + p**2 - 2*p - 1. Let q(l) = -1643*l**3 + 9*l**2 - 18*l + 1812. Let j(t) = -2*q(t) + 18*z(t). Differentiate j(n) wrt n.
9804*n**2
Let o(z) be the first derivative of 11*z**2 + 7/6*z**3 + 18 + 14*z. Let c(x) be the first derivative of o(x). Differentiate c(m) wrt m.
7
Let p(w) be the second derivative of -6437*w**4/12 - 4127*w**2/2 - 5268*w. What is the first derivative of p(z) wrt z?
-12874*z
Let t(l) be the third derivative of -l**6/120 - 583*l**5/30 + 6*l**3 - 2919*l**2. Differentiate t(h) wrt h.
-3*h**2 - 2332*h
Let f(o) be the second derivative of 0*o**5 - 2 - 4/3*o**3 - 2/3*o**4 + 0*o**2 - 13*o - 58/15*o**6. Find the third derivative of f(g) wrt g.
-2784*g
Let f(j) = -3*j**3 - 2088*j**2 - 2668*j - 7. Let l(v) = -2*v**3 - 1387*v**2 - 1779*v - 5. Let h(i) = -5*f(i) + 7*l(i). Find the second derivative of h(m) wrt m.
6*m + 1462
What is the second derivative of 698071*m**5 + m - 698006*m**5 - 155 + 2*m**3 - 3*m wrt m?
1300*m**3 + 12*m
Let q be 7 + -2*1/4*6. Differentiate -15*d**2 - 6*d**2 + 21*d**2 - q*d**2 - 78 - 19*d**2 with respect to d.
-46*d
Let i(w)
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{
"pile_set_name": "DM Mathematics"
}
|
ify (1*((sqrt(156)*-2 + sqrt(156) + sqrt(156))*-3 + sqrt(156)))/(sqrt(144)/sqrt(3) + sqrt(192)*-1) + 2.
-sqrt(13)/2 + 2
Simplify (sqrt(90)*-1 - (2*sqrt(360) + sqrt(10)))/(sqrt(2) + (-2*sqrt(162) - sqrt(2)) - (sqrt(2) - 2*sqrt(12)/sqrt(6))).
16*sqrt(5)/17
Simplify (-5 + -1*6*(2 + sqrt(684) + 4 + -3 + 4 + sqrt(684))*-2)**2.
22752*sqrt(19) + 400225
Simplify (sqrt(513) + 5*4*sqrt(513) + sqrt(513))/(sqrt(75)*-2 + sqrt(108)) + -3.
-33*sqrt(19)/2 - 3
Simplify (4*-2*-2*sqrt(136)*-2)/(((sqrt(32) - sqrt(288) - sqrt(32))*6 - sqrt(32))/(sqrt(144)/sqrt(4))).
96*sqrt(17)/19
Simplify -5 + -1*(-4 + (sqrt(1377) + -1 - (sqrt(17) + 0 + -2)**2)) + -3 + -5.
-13*sqrt(17) + 13
Simplify (((2 + -5*1*sqrt(363) - (-5*-1*sqrt(363) - ((sqrt(363) + 0)*1 + sqrt(363)))) + -4)*-3*3)**2.
28512*sqrt(3) + 1882116
Simplify (sqrt(72) - -6*(3 + sqrt(72)))**2*-3 - 1*(-3 + sqrt(72))*1.
-11553 - 4542*sqrt(2)
Simplify (-1*sqrt(288)*-2*5*6 - -3*(sqrt(72)*-2 - sqrt(72))*-5*-6)**2.
1620000
Simplify 2*(1*1*sqrt(567))/(2*(sqrt(18)/sqrt(72) + sqrt(9))).
18*sqrt(7)/7
Simplify ((((sqrt(198) - 2*sqrt(198)*1) + sqrt(198))/(-1*sqrt(539)))**2 - ((-3*sqrt(648) - sqrt(648))**2 - (sqrt(72) + -2 - sqrt(18)))) + -2.
-10372 + 3*sqrt(2)
Simplify (4*(-6*sqrt(432) + 1) - (-2*(sqrt(3) + 4*sqrt(48)) + 0 + sqrt(12) + -4))**2.
-4096*sqrt(3) + 196672
Simplify 0 + ((sqrt(128) + 1 - sqrt(128)) + -5 + 2 + sqrt(128) + 5 - (-1*sqrt(128) + 2 - (2 + sqrt(128) + -1)))**2.
96*sqrt(2) + 1156
Simplify (sqrt(3) - ((sqrt(3) - sqrt(3)*-2) + 2)) + sqrt(3) + (-3*sqrt(363))**2 + -2 + -2 + -2*sqrt(432) + (sqrt(108) - 6*(sqrt(108) - -2*sqrt(108))**2).
-2571 - 19*sqrt(3)
Simplify (sqrt(128) + -1 - (sqrt(6)/sqrt(3) + sqrt(2) + -5)**2 - (sqrt(576)*1)/(sqrt(32)/(sqrt(36) - sqrt(4)))) + -4.
-38 + 16*sqrt(2)
Simplify (sqrt(210)/(sqrt(80)*3 - sqrt(80))*-4)/(-3*(sqrt(384) + (sqrt(384) - sqrt(384)*3*-4) + sqrt(384))).
sqrt(7)/720
Simplify 2*((sqrt(27)/sqrt(81) - sqrt(3))**2 + (sqrt(3) - sqrt(30)/sqrt(90)) - (-3*(sqrt(15) + sqrt(45)/sqrt(3))/sqrt(5)*-6)**2).
-23320/3 + 4*sqrt(3)/3
Simplify (-4*(5*(1*sqrt(133) - sqrt(133)) + 4*(sqrt(133) + -1*sqrt(133))))/(6*sqrt(448)*-2*-4).
0
Simplify sqrt(504)/(sqrt(8)*-1) + 2*sqrt(2268) + 2 + (sqrt(1575)*-1 + -1 + -1*sqrt(63))**2.
69*sqrt(7) + 2271
Simplify (-1*((sqrt(448) - -4*1*sqrt(448)) + -1))**2 - (-3 + (sqrt(448) + sqrt(448) + 1 + 4)**2 + (1*sqrt(448))**2*-6).
-240*sqrt(7) + 12075
Simplify (2 + -4 + (4*sqrt(864))/(-4*1*sqrt(3)))**2*1.
48*sqrt(2) + 292
Simplify (2*sqrt(266)/(5*sqrt(7) - sqrt(7)))/(sqrt(162) - 3*((sqrt(162)*-2 - sqrt(162)) + sqrt(162)) - sqrt(162)) + -5.
-5 + sqrt(19)/108
Simplify (5 + sqrt(468) + 2 + -5 + sqrt(468)*-4 - (-4 + 3*(sqrt(468)*-2 + sqrt(468)))*-4)**2.
2520*sqrt(13) + 105496
Simplify -2 + ((4*sqrt(80) + -2)*3)**2 + ((-3 + sqrt(6480))*-2)**2.
-1440*sqrt(5) + 37510
Simplify (-5 + ((sqrt(304) - (3*(-1 + sqrt(304) + sqrt(304)) + sqrt(304))) + 3 - -6*(-4 + sqrt(304) + 1)))**2.
289
Simplify (((sqrt(132) - (sqrt(132)*-2*1 + sqrt(132) + sqrt(132) - sqrt(132)))*4)/(-2*sqrt(588)*1) + 5)*-3.
-15 + 12*sqrt(11)/7
Simplify ((-5*-6*1*sqrt(2160))/(sqrt(10)/(sqrt(2) + sqrt(8)) + (sqrt(80) - (sqrt(80)*2 + sqrt(80)))))**2.
3499200/529
Simplify (-3 + -4 + (sqrt(1053) + 0 + 4 - (5 + sqrt(1053) + 1 + sqrt(1053))) + (-3 + sqrt(1053)*2 - (-2 + sqrt(1053))*-2))**2.
-864*sqrt(13) + 9733
Simplify ((-3 + (-2*sqrt(343) + 1 - (2*sqrt(343) + 4))*-2 + -4)*-6)**2.
-4032*sqrt(7) + 790308
Simplify -6*(-2 + -3 + ((sqrt(95) - sqrt(95)*2 - sqrt(95))*5)/sqrt(5) + (4*1*sqrt(209))/sqrt(11)).
30 + 36*sqrt(19)
Simplify (-3*(2*(-6*-2*sqrt(162) - sqrt(162)) + -2 + sqrt(162)*-3*-6))**2*-5.
-11664180 + 64800*sqrt(2)
Simplify (6*(0 + sqrt(396))*4)**2 + (-6*(sqrt(11) + -3)**2 - 4*sqrt(1331)).
-8*sqrt(11) + 227976
Simplify (2 + (-2*sqrt(2673))/((sqrt(24)*2)/sqrt(8) - sqrt(3)) - (-3*sqrt(121)*-6 + sqrt(121))/(sqrt(308)/sqrt(7)))**2.
-110*sqrt(11) + 33291/4
Simplify ((((sqrt(2541) - (sqrt(2541) + sqrt(2541) + sqrt(2541)*-2)) + sqrt(2541) - 4*sqrt(189))*-1)/((1*sqrt(1470))/(sqrt(30)/sqrt(3)*6)))**2.
3600/7
Simplify (((sqrt(72)*-1 + sqrt(72))*6 - sqrt(72))/(sqrt(6) + -6*sqrt(12)/sqrt(2)))/((sqrt(32)/sqrt(2)*-5)/(sqrt(4) + (sqrt(144) + sqrt(144)*-2 - sqrt(4)))).
6*sqrt(3)/25
Simplify (sqrt(126)/(sqrt(864)*2 + sqrt(864)))/((sqrt(42)/sqrt(2)*4)/sqrt(7)).
sqrt(7)/144
Simplify ((1*sqrt(77)*-6 + sqrt(77) - -1*(sqrt(77) + -2*sqrt(77)))*-3)/(3*sqrt(539)*-2*-1).
3*sqrt(7)/7
Simplify 3 + (-6*4*((sqrt(270)/sqrt(5))/sqrt(3))/(sqrt(9) - (6*sqrt(54)/sqrt(6) - sqrt(9)))*3)**2.
651
Simplify -5*((1*sqrt(605)*1*-2 - -6*((sqrt(605) + (sqrt(605) - (sqrt(605) + -1)) - sqrt(605)) + sqrt(605))*2)**2 + 1).
-303225 - 13200*sqrt(5)
Simplify (sqrt(125) - -6*(sqrt(125) + -3)**2)*2 + ((3*sqrt(150)/sqrt(6))/sqrt(5))**2*6.
-350*sqrt(5) + 1878
Simplify -3 + ((-1 + 3 + sqrt(1088) + sqrt(1088)*-1 - (sqrt(1088)*2*1 + -4))*-6)**2.
-6912*sqrt(17) + 157965
Simplify ((4*-1*sqrt(225))/(sqrt(30)/sqrt(54))*-2 + 1)**2 + -4.
144*sqrt(5) + 25917
Simplify 3*-3*(-5 + (-3*2*sqrt(2187)*-6)**2)*1.
-25509123
Simplify (sqrt(18)/(sqrt(12)/sqrt(4)))/(sqrt(98)*-2) - (1*(sqrt(243) - (-2 + sqrt(243) + 0 - sqrt(243))))**2.
-247 - 505*sqrt(3)/14
Simplify 1*(2*sqrt(832) + -2 + sqrt(13)*3) - (((-1*sqrt(91))/sqrt(7) + (1 + sqrt(1573) - sqrt(1573)))**2 + (2 + (sqrt(117) - sqrt(13))*-1)**2).
-72 + 29*sqrt(13)
Simplify 3*((sqrt(7)*3)**2*5 + 3) - (-6*sqrt(35)*-1 - sqrt(35))/(-1*sqrt(125)).
sqrt(7) + 954
Simplify 5 + -5*sqrt(104)/sqrt(8)*2 + 1*(sqrt(1573) + 2 + sqrt(1573))**2.
78*sqrt(13) + 6301
Simplify (-4*2*sqrt(190)*-6*3)/((-6*(sqrt(100) - (sqrt(100) + sqrt(100)*3)))/(sqrt(10) + 2*sqrt(90) - sqrt(10))).
48*sqrt(19)
Simplify (1*(-5 + sqrt(52) - sqrt(208)*4 - (sqrt(637) + 4 + -1)) + 3)**2.
210*sqrt(13) + 5758
Simplify sqrt(1053) + (sqrt(1053)*2*-6 - sqrt(1053)) + -3 + -4 + (-1*((sqrt(1053) + -1 - sqrt(1053)) + sqrt(1053)) + sqrt(1053))**2 + 3 + -5 + -2.
-108*sqrt(13) - 10
Simplify ((sqrt(19) + -2 + -1)**2 - (1 + sqrt(931))) + (-3*2*sqrt(76))/(sqrt(4) - (sqrt(4) + (-2*sqrt(36))/sqrt(9))).
-16*sqrt(19) + 27
Simplify (-5*(2*(sqrt(156) - (sqrt(156) + 1*sqrt(156) - sqrt(156)) - sqrt(156)) - -3*-3*sqrt(156)))/((sqrt(180)/sqrt(48))/((sqrt(55) - 2*sqrt(55))/sqrt(11))).
-220*sqrt(13)
Simplify ((-3 + (sqrt(1728) - (4 + -1 + sqrt(1728)))*-2 + 5)*-1)**2.
64
Simplify (1*(sqrt(171) - (sqrt(171) + 1))*-2 + 4)**2 + 1 + 4 + (sqrt(171) + -1)**2 + 0.
-6*sqrt(19) + 213
Simplify (sqrt(256)*2*-5 + sqrt(256)*-2*-6)/(sqrt(1152)*1 + sqrt(56)/sqrt(63) + sqrt(8))*-4.
-12*sqrt(2)/5
Simplify (-6*((sqrt(343) + 0 + -1 + sqrt(343))*-2 - (5 + -1 + sqrt(343) + 0))*-1)**2.
5040*sqrt(7) + 308844
Simplify (-1*sqrt(5103))/(sqrt(36) + sqrt(144)/sqrt(4)) + (sqrt(7) + sqrt(21)/sqrt(3)*-3 - sqrt(7)) + sqrt(7) + sqrt(175)*2.
23*sqrt(7)/4
Simplify (((-1 + sqrt(2736))**2*-4 - ((1*sqrt(2736))**2 + -2) - (3 + 1 + (-1 + sqrt(2736))**2)) + 1)*-2*5.
-1200*sqrt(19) + 164220
Simplify ((0 + (1*sqrt(200) - sqrt(200) - sqrt(200)) + sqrt(200))*-3)**2 + -3*(5 + (-1*sqrt(242) + sqrt(242))**2).
-15
Simplify (sqrt(104)/(sqrt(64)/sqrt(8)))/(sqrt(32)/(sqrt(512) + sqrt(512)*-2)).
-4*sqrt(13)
Simplify (-4*(sqrt(108) + (sqrt(108) + -1 - sqrt(108)) - sqrt(108) - sqrt(108)) - (sqrt(108) + sqrt(108)*-2 + 1))**2 + (sqrt(75) - (sqrt(75) + -2 + 3))*-3.
180*sqrt(3) + 2712
Simplify (1*((sqrt(200) - (sqrt(200) - 1*sqrt(200)) - sqrt(200)) + sqrt(200)) + 6*2*sqrt(200))/(5*sqrt(50)/sqrt(5) + (sqrt(100)*-1 + sqrt(100))/sqrt(10)).
26*sqrt(5)/5
Simplify (sqrt(1764) - (-5*sqrt(1764) - sqrt(1764))*-4)/((1*sqrt(560))/sqrt(5)).
-69*sqrt(7)/2
Simplify ((sqrt(1377) - (4 + sqrt(1377) + -1 + sqrt(1377)))*-3 - ((0 + sqrt(1377))**2 + 4 + 3*(-1 + sqrt(1377))))*-1.
1369
Simplify (-5*-2*(-2*(sqrt(117) + 1)*-1 + -4 + 3 + 0))**2.
1200*sqrt(13) + 46900
Simplify -1*(-3 + (-1 + sqrt(176)*1 - (5 + sqrt(176) + 0))*-4)**2.
-441
Simplify ((sqrt(2880)*-1)/((sqrt(45) + sqrt(135)/sqrt(3))/sqrt(9)))/((sqrt(300) - 1*2*sqrt(300)) + (sqrt(300) - sqrt(300)*-1)*-5).
2*sqrt(3)/55
Simplify ((sqrt(216)/sqrt(4))/sqrt(2) - (-2 + sqrt(27)*-2)) + sqrt(243)/(sqrt(9) + sqrt(36)/sqrt(4)*-2) + 2.
4 + 6*sqrt(3)
Simplify (0 + -2*(sqrt(288) - (sqrt(288) + sqrt(288) + -1)) + 4*2*sqrt(288))**2*-6 + -5.
-172829 + 2880*sqrt(2)
Simplify ((-2*(sqrt(19) + 0 + sqrt(19))*1)**2 + 2 + ((sqrt(19) + -2)**2 - sqrt(19))
|
{
"pile_set_name": "DM Mathematics"
}
|
se 31*d + 1140038 - 154145 = 0. Let t = d - -68116. Is t a composite number?
False
Let s(n) = n**3 + 10*n**2 - n + 14. Let z be s(-10). Is 24/z*6159/3 a prime number?
True
Let a = -6341 + 9901. Let u be (a/3)/2*(-15)/(-5). Suppose 5*f - 3*q - 12218 = 0, 2*f - 4*q - u = 3110. Is f a prime number?
False
Let o(f) = -2*f**2 + 74*f + 59. Let t be o(44). Let i = 842 - t. Is i prime?
True
Is ((-4)/(-8) - -1)/(37017029/4627126 + -8) prime?
True
Let b = -10 + 4. Let h be b*((-10)/(-6) + -2). Suppose 2*f - 10265 = -3*o + f, h = f. Is o prime?
False
Let v(j) = 110*j**2 + 50*j - 433. Is v(-40) a prime number?
False
Let p(u) = -u**2 - 17*u + 3. Let o be p(-16). Suppose 21*n = o*n + 8656. Suppose n = -m + 9*m. Is m a composite number?
False
Let b be -1 + (-20)/(-28) + 73028/14. Suppose 18*j - b = 8338. Is j prime?
False
Suppose 3*n - 626 = -u, -n + 4*u + 601 = 2*n. Let o be (-1326)/(-34)*50/3. Let l = o - n. Is l a prime number?
True
Let m = 140 + -139. Is m + 0 - (3 - -6 - 7629) a composite number?
False
Let m(w) = -3274*w + 108. Let j be m(-5). Let i = j - -4835. Is i a prime number?
True
Suppose 4*o - 200472 = -61*c + 65*c, 3*c = 3. Is o prime?
True
Suppose 4*t = 4*a + 116, 0*t + 83 = 3*t + a. Suppose -t*d = -24*d - 192. Is ((-467)/2)/((-24)/d) prime?
True
Let y be ((-3048)/(-5))/(36/990). Suppose 10*v - 22*v = -y. Is v composite?
True
Is (-10363602)/(-98) + 300/(-7350) a composite number?
False
Let g(u) = -u**2 - 5*u + 10. Let o be g(-6). Suppose 19*h = 18*h + v + 446, o*v + 898 = 2*h. Is h prime?
True
Let b = -19138 + 27671. Suppose 154*n - 163*n - 46062 = 0. Let o = n + b. Is o a prime number?
False
Let q be 5/(-20) - (1 - 8739/12). Suppose 0 = -3*h - k + 731, k = 3*h - 0*k - q. Suppose -4*v + 101 + h = 0. Is v a composite number?
True
Suppose -28*g = -39*g + 14146. Let a = 3855 - g. Is a composite?
True
Let y(s) be the third derivative of -23*s**4/4 + 41*s**3/6 + 5*s**2 - 6*s. Is y(-24) a prime number?
False
Suppose -27*r + 632770 = -17*r. Suppose -r = -6*v + 24245. Is v a prime number?
False
Suppose -k + 3*m = -6, 9 = 4*k + 2*m - 15. Let p(u) = -10*u**2 + 10*u + 5. Let o(i) = 11*i**2 - 11*i - 6. Let l(j) = -2*o(j) - 3*p(j). Is l(k) a prime number?
False
Is ((-4)/3)/((-4)/29949) a composite number?
True
Suppose -114*c - 4928196 + 31061828 = 14*c. Is c a prime number?
False
Suppose -3*t = -4*v - 17, v = -4*t + 1 + 9. Suppose 9*x - 5970 = t*x. Is x prime?
False
Is 152/190 - (-7219233)/15 prime?
False
Is 797148 - (-38 - -20) - -13 prime?
False
Let u be ((-20)/16)/((-4)/16). Suppose -25 = -5*h, 0*y + 2*h = u*y - 2695. Is y prime?
True
Suppose 4*n + 3*g = 638096, -4*g = 989*n - 993*n + 638068. Is n composite?
False
Suppose -53 = -3*t - 38, -t + 5 = -i. Suppose i*v = -v + 3091. Is v composite?
True
Suppose -44*p = -26*p + 19495728. Is -1*2/8 - p/224 a prime number?
False
Let h = 417646 + -294867. Is h a prime number?
False
Suppose 9*u + 46 = 32*u. Suppose -3731 = -3*t + 4*f, 0 = u*t - t + f - 1253. Is t composite?
False
Let x be (-1 + -5)*26*2/(-24). Suppose -81470 = -x*v + 3*v. Is v prime?
True
Is 1/(((-39)/6 + 8)/617451) composite?
True
Let l be (((-416)/39)/16)/((-2)/(-3)). Is l - ((-3951)/4)/((-36)/(-96)) a prime number?
True
Let y(x) = -21 - 3*x - 27 - 12. Let l be y(-23). Let d(i) = i**3 - 6*i - 6. Is d(l) composite?
True
Let k = -184571 + 316572. Is k a prime number?
True
Let r(z) = 75*z**2 + 5 - 34*z**2 + 3 - 40*z**2 + 10*z. Let c be r(-15). Suppose c = -10*g + 933. Is g a composite number?
True
Let f = 59059 + 63900. Is f prime?
False
Let c(k) = -2*k**2 - 12*k + 102. Let l be c(-11). Is 13979/(-14)*l + 5 composite?
False
Suppose 6*q - o - 3490862 = q, 2*o - 4887183 = -7*q. Is q composite?
False
Let y(h) = 51 + 3*h - 2*h**3 - 58*h**2 - 5*h + 11*h**2 - 11*h. Let l(w) = w**3 + 23*w**2 + 6*w - 25. Let u(j) = 5*l(j) + 2*y(j). Is u(-18) composite?
False
Suppose -2*y - 3*a = 2*y + 12, 0 = 4*a + 16. Suppose y = -0*h - 4*h + 4*d - 4, 6 = -2*d. Is h/22 - 85865/(-55) a composite number?
True
Is (-336088 + 21)*(-2 - (-5 - -4)) a prime number?
False
Suppose -3*g = -4*l + 8321, -2*g = 9*l - 12*l + 6241. Suppose 2*o = -63 + l. Is o composite?
False
Let a(i) = -i**2 + 10*i + 24. Let m be a(9). Is 8811/m*2/((-6)/(-31)) composite?
True
Suppose 3*o - 12*o = -40284. Suppose 67*q = 63*q + o. Is q a composite number?
True
Suppose 361*z = 318*z + 4662877. Is z composite?
False
Suppose -4*h + 33596 = 4*d, 3*h - 5*h + d = -16798. Suppose -2*l + 8671 = 4*o - 8139, 2*o - h = l. Is o prime?
True
Let q(n) = -139350*n - 7. Is q(-3) a prime number?
True
Let a(w) = 15230*w + 423. Is a(11) prime?
True
Suppose 8*a + 760 = 4*a. Let x = 1135 - 836. Let f = a + x. Is f a composite number?
False
Suppose 188*i = 185*i + 15. Suppose -2*v = -i*g - 5487, 4*v - 8*g = -11*g + 10961. Is v prime?
True
Let d(c) be the second derivative of 107*c**5/20 + 3*c**4/4 + c**3/6 - 4*c**2 - 70*c. Is d(5) a prime number?
True
Suppose -21*y - 429592 = -1036954. Is y a composite number?
True
Suppose -70*t + 678060677 = 91*t. Is t a prime number?
False
Let q(p) = 18*p - 85. Let t be q(5). Suppose 3*g + n + 1215 = 7*g, 2*g - t*n - 585 = 0. Is g composite?
True
Let c = -108992 - -599049. Is c a composite number?
False
Let t be (3 + 6450)/3 + 7. Suppose -4*j - t = -12314. Is j a prime number?
True
Let x be (3 - 20/15)*(-48)/2. Let g = 43 + x. Suppose 2*s + 3*h + 34 = 332, -g*s = -h - 425. Is s composite?
True
Let w = -50 + 35. Let l = w - -21. Is l/(48/5764) - (-3)/(-2) prime?
True
Let n = -31 - -25. Let x be (40/15)/(n/261). Let u = x + 190. Is u a prime number?
False
Suppose 2*p = 4*c - 151493 + 546559, -3*p + 592609 = -c. Is p composite?
True
Let h = -59 - -57. Let v be (-2350)/(-2) - (h + 5)/(-1). Let y = v - 677. Is y composite?
True
Let t(b) = 8*b + 4. Let p be t(-2). Is (-1276)/p*(-24)/(-8) a composite number?
True
Let s = 347 + -329. Suppose -s*w + 12733 = -19253. Is w a prime number?
True
Let n be ((-17733)/46)/((-2)/4). Let q = -586 + n. Is q composite?
True
Suppose -57*o - 6 = -54*o. Is 97993/42 - o/(-12) a prime number?
True
Let x(h) = h**2 - 18*h - 139. Let p be x(24). Let l(t) = 38*t**2 - 3*t + 2. Is l(p) a composite number?
False
Let z(b) be the first derivative of b**4/4 + 29*b**3/3 + 35*b**2/2 - 31*b + 140. Is z(-26) composite?
False
Let q(v) = -2531*v - 5. Let c(b) be the third derivative of 211*b**4/3 + b**3/2 - 31*b**2. Let w(j) = -7*c(j) - 5*q(j). Is w(1) prime?
False
Is 183/(-61)*((-84262)/(-8))/(9/(-12)) composite?
False
Let c(n) = -110286*n**3 + 58*n + 59. Is c(-1) a composite number?
True
Suppose -3*y = 3*m - 0*y - 18, 4*m - 20 = -5*y. Suppose -15*l = -m*l - 17525. Is l composite?
True
Suppose -2140443 = -z - 5*x, -2*z = -2*x - 2225579 - 2055403. Is z a composite number?
True
Suppose 3*c + 0*c = -5*w + 181, 138 = 4*w - c. Let z be 301/w - 4/(-10). Let i = 152 - z. Is i composite?
True
Is (-74824926)/(-627)*(-6)/(-4) composite?
True
Let k = 90 - 139. Let t = k + 36. Let s = 194 + t. Is s a prime number?
True
Let f(j) = 3984*j**3 + 40*j**2 - 49*j - 6. Is f(5) composite?
False
Suppose -10 = -8*d + 3*d. Suppose -7*u = -d*u + 2705. Let x = u + 1230. Is x prime?
False
Let p(u) = 14*u**2 + 43*u + 1036. Is p(-75) composite?
False
Let t(z) = 3*z**2 - 4*z - 2. Let g be ((-4)/14)/(6/(-168)). Suppose o - g*o = -35. Is t(o) a prime number?
True
Suppose -3*c = c, 0 = 5*r + c + 240. Let v be -6*3/r*-4*-2. Suppose 0 = -2*f - v*p + 1250, -2544 = -3*f - f + 5*p. Is f composite?
False
Let t(u) = -2*u**3 - 46*u**2 + 2*u + 42. Let o be t(-23). Is (3 - o) + -1 + 1901 composite?
False
Suppose 2*d - 18 = -5*c + 5*d, -22 = -c - 4*d. Suppose 0 = -c*n - 8188 - 7370. Let g = -1266 - n. Is g prime?
True
Let k(a) be the first derivative of -22*a**4 + 2*a**3 + 7*a**2/2 - 14*a - 22. Let w be k(-8). Is 2/(-5) - w/(-50) prime?
True
Suppose 2721012 = 42*v - 1465296. Is v/19 + (-2 - 2) a prime number?
False
Let g(y) = 1400*y**2 + 6*y + 21. Suppose 3*a - 6 = -2*n, -a + 2 = 2*n + 4. Is g(n) a composite number?
True
Let f = 106160 + -72667. Is f a prime number?
True
Is -2*((-746535)/10 - 1) a composite number?
False
Let n = 117 - 127. Let q(i) = -i - 6. Let u be q(0). Is n/u + 12824/42 composite?
False
Suppose -35 = 5*x - 85. Let o = 479 - -23. Is (o/(-6))/(x/(-30)) a composite number?
False
Let n = 209 - 209. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + f and give p.
84
Express 6*o**2 + 34*o**2 + 878*o - 988*o as y*o**2 + f*o + i and give y.
40
Express (-1 + 3 - 1 + 1 - 2 + 3 + 3 - 2 - 3 + (-1 + 5 - 2)*(0 + 0 + 1))*(144 - 74 - 74)*(-3*p + 4*p + p) as s + u*p and give s.
0
Express (360*y**4 - 113*y**4 + 334*y**4)*(3 - 4 - 1) in the form a*y**3 + s*y**2 + r*y + g + j*y**4 and give j.
-1162
Rearrange 3*x**3 - 112*x**2 - 3343 + 1691 + 1649 to r*x + q + d*x**3 + y*x**2 and give q.
-3
Rearrange (-2*c - 1 + 1)*(-461*c - 113*c - 844*c) to y + x*c + k*c**2 and give k.
2836
Express 10*r**3 + 15*r + 6010*r**2 + 6014*r**2 - 12024*r**2 - 1 as c*r + d + f*r**3 + j*r**2 and give c.
15
Express (-10152*o - 12199*o + 44843*o + 46174*o + 4221*o)*(-3*o - 2*o + 4*o) in the form q*o + n + k*o**2 and give k.
-72887
Express 2*t**4 - 739 - 719 + 1460 + 36*t**2 - 10*t as q*t**3 + r*t**4 + c*t**2 + n*t + p and give r.
2
Rearrange (-4 + 2 + 0)*(-9344 + 55*v + 18674 - 9326) to the form a + f*v and give f.
-110
Rearrange -263*d + 20 + 68*d + 21*d + 96*d to g*d + w and give w.
20
Express 214 + 64*y**3 - 123*y**3 + 3*y + 59*y**3 - 2*y**4 + y**2 - 964 as o*y**2 + m*y**4 + v + g*y + r*y**3 and give o.
1
Rearrange (2 - 1 - 4)*(-98*r**2 - 140*r**2 + 53*r**2)*(-4 - 5*r**2 + 4) to n*r + a*r**3 + u + i*r**2 + c*r**4 and give c.
-2775
Express 227*f**2 - 472*f**2 - 25 + 241*f**2 in the form s*f + j + b*f**2 and give b.
-4
Rearrange 11657 - 11657 - 1842*l + 329*l to the form w + a*l and give a.
-1513
Express -i**4 + 0*i**4 + 2*i**4 + (0 + 0 + i)*(-785 - 39*i**3 + 785) - 78*i**3 + 2*i**4 + 78*i**3 in the form a*i**4 + h*i**3 + b*i + q*i**2 + o and give a.
-36
Express -38*f**4 - 10*f**3 + f + 5 + 7*f**3 + f**3 + 37*f**4 + 2*f**2 as n + r*f + p*f**2 + t*f**4 + z*f**3 and give n.
5
Express (539 - 539 - 3197*c)*(3 - 2*c**2 - 3) in the form q*c**3 + d*c + r + v*c**2 and give q.
6394
Rearrange 1103210*v**3 - 50*v + 9*v + v**4 - v**2 - 1103208*v**3 to the form n*v + c + j*v**3 + s*v**2 + z*v**4 and give s.
-1
Express (-1295*i + 2590*i + 10 - 1293*i)*(-11 + 33 + 18) as a*i + o and give o.
400
Rearrange 0 + 192*h**3 - h**4 + 2*h**2 + 1 - 200*h**3 + 1 to y*h**2 + a*h**3 + p*h**4 + r + w*h and give p.
-1
Express 179*s**2 + 2*s**4 - 3*s**3 - 1296*s + 2 + 4*s**3 + 648*s + 646*s in the form k*s + m + x*s**4 + a*s**3 + g*s**2 and give a.
1
Express -2*r**4 - 995*r**3 - 5 - 3 + 2 + 1010*r**3 - 9 as s*r + z*r**4 + u*r**3 + c + o*r**2 and give z.
-2
Rearrange (-4*t + 2*t + 17*t)*(29*t**2 - 20*t**2 - 49*t**2)*(-2 + 3*t - 2*t + 1) to g*t**4 + b*t**2 + m*t**3 + l*t + p and give g.
-600
Rearrange 9829*o - o**4 - o**2 - 19659*o + 9829*o - o**4 - 332*o**3 to the form c*o**4 + f*o + m*o**3 + t*o**2 + v and give v.
0
Express 765*c + 2*c**2 - 1021 + 9590 - 765*c in the form b + q*c + k*c**2 and give b.
8569
Express (-471*m**2 - 64*m**4 + 471*m**2)*(677 - 207 - 242 - 385 - 1585 - 1521) in the form g*m**3 + y*m + x*m**2 + t + f*m**4 and give f.
208832
Rearrange (-22*s - 2940 + 2940)*(1 - 1 + s)*(-392 + 268 + 269) to v + f*s + u*s**2 and give u.
-3190
Rearrange (-5 - 2 + 2)*(239*y + 237*y + 241*y - 176*y**2 - 718*y - 4649*y**2) to o*y**2 + t + j*y and give j.
5
Rearrange -2952 + 36*m**2 - 2936 + 5893 to a*m**2 + g + u*m and give g.
5
Express 7*v**2 + 8*v**2 + 21*v**2 - 2 - 16*v - 34*v**2 + 5 + 2*v**3 as b*v + p*v**3 + h*v**2 + i and give p.
2
Rearrange (19 + 15 - 7)*(-776*q - 521*q + 995*q + 1) to the form l + u*q and give u.
-8154
Rearrange (-15*i - 24*i + 11*i)*(-4 + i + 4)*(146 - 6*i**2 - 146)*(-2 - 10 + 6) to the form q*i + y*i**4 + h*i**2 + b + j*i**3 and give y.
-1008
Express -146*f**3 - 2*f + 5 - 10 - 146*f**3 + 15*f**2 + 284*f**3 + 6 in the form n + a*f**3 + z*f**2 + b*f and give n.
1
Express (-2*t + t + 0*t)*(0 + t**3 + 0) + 0*t - t**4 + 0*t - 4536*t**4 + 1102*t**4 - 2*t**2 - 5073*t**4 as h + p*t**2 + o*t**3 + j*t**4 + b*t and give o.
0
Express 5 + 31*t**2 - 65*t**2 - 4*t + 4*t + 5*t**3 - 12*t**2 in the form m*t + d + u*t**2 + f*t**3 and give f.
5
Rearrange (3*d**3 + 4*d**3 - 5*d**3)*((-1 + 4 - 4)*(-96 + 96 - 9*d) - 17*d - 11*d - 11*d) to the form i*d**2 + a*d**4 + u*d + r + b*d**3 and give a.
-60
Express -404*j**2 - 355*j**2 - 332*j**3 + 767*j**2 in the form u + z*j**2 + b*j + q*j**3 and give q.
-332
Express -603 + d**3 + 2*d**4 + 537*d**2 + 597 - 326*d**2 - d in the form s + a*d**3 + b*d + m*d**2 + c*d**4 and give m.
211
Rearrange (-3 - 1 + 1)*(-935*i - 911*i + 1694*i) to the form x*i + z and give x.
456
Rearrange -11 + 11 - 28*o**2 + 0 + 0 + 2*o**2 + (-1 + 3 - 1)*(-1 - 1 + 1)*(2 - 3 + 3)*(6*o**2 + 8*o**2 - 5*o**2) to the form m + g*o + u*o**2 and give u.
-44
Rearrange 0 + 1 - 2*u**3 - 3579*u**4 - 13*u**2 + 7163*u**4 - 8*u - 3*u**3 - 3585*u**4 to the form b + f*u**2 + d*u + k*u**4 + j*u**3 and give d.
-8
Rearrange (-d + 7*d - 3*d)*(-11 - 19 + 0)*(354 - 354 + 35*d**3) to the form w*d**4 + g + s*d**3 + z*d**2 + v*d and give w.
-3150
Express 21*d**3 - 2109*d - 94*d**3 + 74*d**3 as x + s*d**3 + c*d**2 + g*d and give s.
1
Rearrange 367 - 191 - 185 + 221*z to the form c + b*z and give b.
221
Rearrange -1 + l**4 - 14*l**2 - 2 - 19*l**2 - 39*l**3 + 51*l**2 - 19*l**2 to the form f*l + n*l**2 + v*l**3 + d*l**4 + t and give t.
-3
Express -3 - 33*c + 19*c + 24*c - 18*c**2 - 5*c in the form f*c**2 + x*c + s and give x.
5
Express 0 - q**3 + 585913*q**2 + q - 585917*q**2 + 18 as b*q**3 + y*q**2 + t + z*q and give t.
18
Rearrange (29*y - 2*y - 4*y)*(7 - 2 + 7)*(-2 - 3 + 3) to j + f*y and give f.
-552
Rearrange 29 - d**3 - 178*d + d**3 - 27 - d**4 - 2*d**2 + 4*d**2 - 2*d**3 to y*d**4 + r*d + j*d**3 + z + t*d**2 and give j.
-2
Rearrange -75 - 11*g - 7*g**2 + 4*g + 6*g**2 - 3*g to the form q + l*g + p*g**2 and give l.
-10
Express 14*g**3 - 2259375 - g**2 + 2259214 + g**2 as s + w*g**2 + y*g + b*g**3 and give b.
14
Rearrange 17619*n**2 - 13 - 5870*n**2 + 21*n - 5874*n**2 + n**3 - 5878*n**2 to k*n + l + b*n**2 + y*n**3 and give k.
21
Rearrange -2*g**4 + 6*g**2 + 0*g**2 - 156*g + 1 + 283*g - 153*g to the form h*g**2 + s*g**3 + n*g + t*g**4 + l and give l.
1
Rearrange (24 + 84*m - 24)*(3 - 12 + 47)*(7*m - 7*m - 3*m**2) to the form z + k*m**2 + y*m**3 + t*m and give y.
-9576
Express 34 - 6*j**3 + 124*j**2 - 20*j + 10*j - 73*j**2 + 9*j - 60*j**2 in the form d*j**2 + z*j**3 + h*j + i and give h.
-1
Rearrange 4 - 145*b**2 - 156*b**2 - 9*b - 160*b**2 + 597*b**2 - 154*b**2 to v*b**2 + q + n*b and give q.
4
Rearrange 913697 + 2*d**2 + 719*d**3 - 913697 to g*d**3 + o*d**2 + n + c*d and give c.
0
Express -9 + 1239*f**2 + 9 - 712*f**2 - 4313*f**2 in the form x + o*f**2 + h*f and give o.
-3786
Express 36775*r**4 + r**2 - r**3 + 8 + r + 36852*r**4 - 73567*r**4 as k*r + w*r**2 + v + d*r**4 + n*r**3 and give n.
-1
Express (-1 - 2*y + 1)*(-3 + 2*y + 3) + 86*y**2 + 32*y**2 - 117*y**2 + 60*y - 4*y**2 + 0 + 0 in the form l + k*y + x*y**2 and give k.
60
Express 81*d + 40 + 115 - 170 + (-2 - 2 + 2)*(d - 2*d - d) as l*d + m and give l.
85
Express (-4*k**2 + 3 - 3)*(217 + 264 - 430)*(-4*k - k + 7*k) as g*k**3 + u*k**2 + f*k + l and give g.
-408
Express 7*b**2 - 328*b + 2*b**3 + 328*b - 474 + 476 in the form l + q*b**2 + o*b**3 + n*b and give q.
7
Rearrange 113 + 8*a**3 + 42*a**4 + a - 115 - 40*a**4 + 19*a**3 to the form l*a + f*a**2 + n*a**4 + b + w*a**3 and give b.
-2
Rearrange (4 - 15 - 15)*((2*p**2 - 3*p**2 - p**2)*(p**2 - 2*p**2 + 0*p**2) - 2090*p + 2090*p - 21*p**4) to g + c*p**3 + y*p + a*p**4 + n*p**2 and give a.
494
Express -5*i**2 - 2*i - 12*i - 10*i - 65 + 30*i - 4*i as o*i**2 + f*i + t and give f.
2
Express -64 - 5*k**2 - 28*k**2 - 26*k**2 - 15 + 36 in the form z*k + t + f*k**2 and give f.
-59
Express 12 - 1 - 3 - 27*m - 28*m + 42*m as u + b*m and give u.
8
Express p + 27*p**3 + 206*p**4 - 28*p**3 - 193*p**4 - 26 as a*p**2 + r*p**4 + i + q*p + u*p**3 and give u.
-1
Rearrange (17 - 48 - 88)*(-152*s + 285*s - 66*s) to the form m*s + p and give m.
-7973
Rearrange ((-4*h - 15*h - h)*(-2 + 1 - 1) - 7*h + h - 3*h)*(14*h**3 + 9*h**3 + h**3) to the form q*h**4 + f*h**3 + c*h**2 + r*h + p and give q.
744
Rearrange 27*x - 61*x - 13*x**2 - x**2 + 3 - 14*x**3 + 12*x**2 to u*x**2 + d + a*x + k*x**3 and give u.
-2
Express 16082*h + 18377*h - 5121*h - 4866*h + 8290*h + (-2*h + 3*h + 0*h)*(2 - 6 + 3) as k*h + w and give k.
32761
Express (-21487 + 64450 - 21481 - 21482 + 39959*p)*(p**3 - 2*p**3
|
{
"pile_set_name": "DM Mathematics"
}
|
) + i(h).
-h**2
Let j(x) = -47*x**3 + 5*x + 5. Let r(t) = 24*t**3 - 3*t - 3. What is -3*j(p) - 5*r(p)?
21*p**3
Let c(u) = 2*u**2 + 14*u - 4. Let s(h) = -2*h**2 - 14*h + 3. Determine 2*c(k) + 3*s(k).
-2*k**2 - 14*k + 1
Let b(w) = -6*w**3 + 4*w**2 + 3*w - 4. Let p(u) = 5*u**3 - 5*u**2 - 4*u + 5. Calculate -5*b(j) - 4*p(j).
10*j**3 + j
Let j(b) be the third derivative of b**6/60 - b**4/8 - b**3/2 + 24*b**2. Let h(v) = -3*v**3 + 7*v + 7. Calculate -3*h(m) - 7*j(m).
-5*m**3
Let i(q) be the third derivative of q**4/24 - q**3/6 + 16*q**2 + 2*q. Let c(t) = 6*t - 2. Let a be c(2). Let o(w) = w**2 + 5*w - 5. Calculate a*i(x) - 2*o(x).
-2*x**2
Let y(b) = 18*b + 11. Let i(w) = -9*w - 5. Determine 13*i(p) + 6*y(p).
-9*p + 1
Let s(f) = -12*f + 11. Let v(k) = -4*k + 4. Determine -3*s(u) + 8*v(u).
4*u - 1
Let f(d) be the third derivative of -d**4/12 - 18*d**2. Let r(s) = 2*s. Calculate 2*f(u) + 3*r(u).
2*u
Let q(o) = -2*o + 1. Let b be q(3). Let h(r) be the first derivative of 2*r**2 + 2*r - 11. Let g(x) = -7*x - 3. What is b*h(u) - 3*g(u)?
u - 1
Suppose a = 4*a - 24. Let z = 3 - a. Let m(k) = -k**2 - 7*k - 6. Let n be m(z). Let f(c) = -2*c**2. Let r(v) = 3*v**2. Calculate n*f(o) + 3*r(o).
o**2
Let o(k) = -3*k**2 - 5*k - 5. Let z(q) = -4*q**2 - 6*q - 5. Give -5*o(m) + 4*z(m).
-m**2 + m + 5
Let r(d) = -3*d**2 + 7*d - 2. Let w(o) = -12*o**2 + 29*o - 9. Determine -9*r(a) + 2*w(a).
3*a**2 - 5*a
Let r(h) = 6*h**2 + 3*h - 2. Let g(y) = -12*y**2 - 6*y + 4. Let w(b) = 6*g(b) + 11*r(b). Let a(d) = -7*d**2 - 4*d + 3. What is -3*a(f) + 4*w(f)?
-3*f**2 - 1
Let d(r) = -5*r + 2. Let g be 3*2/6*3. Suppose g*o + 0*o - 12 = 0. Let k(v) = 4*v - 2. Give o*k(p) + 3*d(p).
p - 2
Let x(z) = -11*z - 5*z**2 - 14 + 5*z**2 + 6*z**3 + 0*z. Let b(g) = 2*g**3 - 4*g - 5. What is 11*b(v) - 4*x(v)?
-2*v**3 + 1
Let c(p) = -p. Let m(h) = 6*h. Let w be (-2)/2*2/1. Let j(n) = w*m(n) - 11*c(n). Let k(z) = -2*z**2 - 8*z. What is -8*j(l) + k(l)?
-2*l**2
Let o(w) = 3*w + 2. Let v(l) be the first derivative of 3*l**2/2 + 2*l + 5. Calculate -4*o(t) + 3*v(t).
-3*t - 2
Let w(d) = 1. Let c(a) = -8*a - 5. Let f(m) = -2*m + 4 + 7*m + 2*m + 0*m. Let r(y) = -6*c(y) - 7*f(y). Let t = -1 - 0. Determine t*r(b) + 2*w(b).
b
Let b(f) = 13 + 5*f - 5*f - 6 - 2*f. Let g be -1 - (-6)/((-2)/(-2)). Let x be b(g). Let t(s) = -2*s. Let y(i) = -i. What is x*t(z) + 4*y(z)?
2*z
Let r(a) = 4*a**3 - 6*a**2 - 3*a**3 - 2*a**3 + 5*a**2. Suppose -2*j - 3*j = -5. Let u(t) = -5*t**3 - 4*t**2. Let k be (4/6)/1*-6. What is j*u(w) + k*r(w)?
-w**3
Let x(q) = -q**2 - q + 32. Let z be x(-6). Let j(w) = -4*w. Let v(d) = 4*d. What is z*j(p) + 3*v(p)?
4*p
Let s(y) = 7*y**2 + 5*y + 4. Let w(g) = 8*g**2 + 5*g + 5. What is 5*s(j) - 4*w(j)?
3*j**2 + 5*j
Let g(h) = -2*h + 2. Let w(o) = 3*o - 3. Give -4*g(i) - 3*w(i).
-i + 1
Let f(n) = n**2 - 5*n + 32. Let y(h) = h**2 - 2*h + 16. Calculate 2*f(d) - 5*y(d).
-3*d**2 - 16
Let j(h) = 7*h. Let c(p) = 15*p. Let d be ((-30)/3)/(0 - 2). What is d*j(w) - 2*c(w)?
5*w
Let t(a) = -4*a**2 - 4*a + 1. Let h = 43 + -48. Let n(c) = -c**2 - c. What is h*n(y) + t(y)?
y**2 + y + 1
Let x(a) = -2*a**3 + 4*a + 4. Let l(y) = -4*y - 1. Let w be l(2). Let p(z) = 8*z**2 + 9 + 9*z - 8*z**2 + 3*z**3 - 8*z**3. What is w*x(s) + 4*p(s)?
-2*s**3
Let s(t) = 3*t**2 - 7*t + 5. Let w(g) = -3*g**2 + 8*g - 6. Give 5*s(z) + 4*w(z).
3*z**2 - 3*z + 1
Let r(m) = m + 1 - 2 + 0*m. Suppose -2*u = -1 - 1. Let q(o) = o - 1. What is u*r(l) - 2*q(l)?
-l + 1
Let q(c) = 15*c**3 + 13*c + 7. Let n(g) = -7*g**3 - 6*g - 3. Determine -13*n(o) - 6*q(o).
o**3 - 3
Let a(r) = 2*r + 3. Let u be (-4 - 0)/((-6)/(-39)). Let k(v) = -32 + 9*v + 78 - 33. Give u*a(j) + 6*k(j).
2*j
Let b(a) = -21*a + 47*a - 15*a - 3 - 14*a. Let o = -9 + 18. Let m(h) = -13*h - 13. Determine o*b(r) - 2*m(r).
-r - 1
Let j(z) = -2*z**2 - z - 1. Let a(c) = 2*c**2 + c + 1. Suppose -9*m = -8*m - 4. Determine m*a(k) + 3*j(k).
2*k**2 + k + 1
Let o(j) = -2*j**3 + 2*j**2 + 3*j + 3. Let d(g) = -6*g**3 + 6*g**2 + 8*g + 8. Suppose r + 3*r + 35 = 3*s, -2*r = -5*s + 21. Determine r*o(w) + 3*d(w).
-2*w**3 + 2*w**2
Let o(i) = -13*i - 11. Let n(s) = -7*s - 6. What is -5*n(h) + 3*o(h)?
-4*h - 3
Let v be 2/(((-16)/10)/(-4)). Let f(i) = -v*i + 3*i + 10 - 7 - 7*i**2. Let l(m) = -6*m**2 - 2*m + 2. Determine -4*f(c) + 5*l(c).
-2*c**2 - 2*c - 2
Let o(a) = 3*a. Let b(v) = -v**3 + 6*v**2 + v - 6. Let s be b(6). Suppose s = n - 5 + 4. Let r(j) = j. What is n*o(f) - 2*r(f)?
f
Let u(i) = 3*i. Suppose 6*l - 3*l = 2*n - 24, 2*n - 6 = 0. Let q = -2 - -3. Let k(g) = g - q + 1. Give l*u(y) + 17*k(y).
-y
Let y(w) = -w**3 + 5*w**2 + 17*w - 2. Let r(t) = t**3 - 2*t**2 - 8*t + 1. What is 5*r(d) + 2*y(d)?
3*d**3 - 6*d + 1
Let t(i) = 3*i**2 - 8. Let z(x) = -x**2 + 3. Suppose 0 = h + 7*h - 64. Give h*z(c) + 3*t(c).
c**2
Let j(h) = -4*h + 8. Let p(b) = -7*b + 15. Let i(u) = -5*j(u) + 3*p(u). Let z(d) = d - 4. Let v = -4 - -4. Let g = v + -6. Give g*z(s) - 5*i(s).
-s - 1
Suppose 1 - 5 = -v. Let l be (-105)/(-9) + 2/(-3). Let t(a) = 6*a + 4. Let g(z) = -17*z - 11. Calculate l*t(k) + v*g(k).
-2*k
Let n(v) = -v**2 - 57*v - 2. Let s(d) = -5*d**2 - 286*d - 11. Give -11*n(a) + 2*s(a).
a**2 + 55*a
Let j(r) = -7*r**2 + 5. Let s(k) = -8*k**2 + 6. Suppose -3*n = 3*a - 26 - 10, 0 = 5*n - 15. Suppose -a - 9 = -3*v. Determine v*j(u) - 5*s(u).
-2*u**2
Let a be -6 - (1 + -1 + 1). Let t = -3 - a. Suppose -4*r = -3*r + t. Let b(w) = 8*w**2 - 11*w - 11. Let i(q) = -3*q**2 + 4*q + 4. Give r*b(k) - 11*i(k).
k**2
Suppose 4*p + 38 - 10 = 0. Let u(c) = 5*c**3 + 7*c**2 + 7*c - 7. Let n(k) = -2*k**3 - 3*k**2 - 3*k + 3. What is p*n(h) - 3*u(h)?
-h**3
Let q(n) be the second derivative of n**5/20 - n**4/6 - 2*n. Suppose 13*r = 8*r - 20. Let a(d) = 3*d**3 - 7*d**2. Give r*a(t) + 14*q(t).
2*t**3
Let v be ((-8)/(-10))/(9/((-360)/(-16))). Let h(i) = 2*i**3 + 5*i**2 - 1. Let t(s) = -s**3 - 2*s**2. Calculate v*h(c) + 5*t(c).
-c**3 - 2
Let y(l) be the third derivative of l**4/24 - l**3/6 + 37*l**2. Let x(s) = 4*s**2 + 2*s - 2. Give x(b) - 2*y(b).
4*b**2
Let u(a) = 6*a**2 + 6. Let n(z) = -z**2. Determine -5*n(k) - u(k).
-k**2 - 6
Let c(t) = -7*t**3 - 10*t + 6. Let m(d) = -13*d**3 - 19*d + 11. Give 11*c(z) - 6*m(z).
z**3 + 4*z
Suppose 0 = m + 2*m + 3. Let f(h) = -h**2. Suppose 4*o - 33 + 9 = -d, -2*o + d + 18 = 0. Let n(i) = i - o*i**2 - i + 4*i**2. What is m*n(b) + 4*f(b)?
-b**2
Let r(b) = 13*b**2 - 2*b + 5. Let c(v) = 2*v - 2 - 6*v**2 - v + 0*v. Let w = 0 - -1. Suppose 0 = -2*z - 7 - w. Determine z*r(u) - 9*c(u).
2*u**2 - u - 2
Let t(a) = -a**2. Let v(u) = -6*u**2 + u + 1. Calculate 6*t(c) - 2*v(c).
6*c**2 - 2*c - 2
Suppose 2*v + 43 - 3 = -4*o, -26 = 2*o - 2*v. Let n(p) = 5*p + 1. Let g(a) = 2*a - 8*a + 7*a. What is o*g(c) + 2*n(c)?
-c + 2
Let o(f) be the first derivative of -f**3/3 + f**2/2 + f + 25. Let m(t) = 2*t**3 - 2*t**2 + 2*t + 2. Give -m(q) + 2*o(q).
-2*q**3
Let u(o) = -3*o**3 - 2*o**2 - 6. Let j(p) = -4*p**3 - 3*p**2 - 7. Let w(b) = b**3 + 5*b**2 + 2*b - 3. Let i be w(-4). What is i*u(x) - 4*j(x)?
x**3 + 2*x**2 - 2
Let c(p) = 1. Let h(t) = -t. Determine 5*c(j) + h(j).
-j + 5
Let h(f) = 10 + 6*f - 296*f**2 + 305*f**2 - 3. Let v(s) = 5*s**2 + 3*s + 4. Calculate 4*h(i) - 7*v(i).
i**2 + 3*i
Let d(x) = 10*x**2 - 8*x + 8. Let s(t) = -t + 1. Determine -d(z) + 8*s(z).
-10*z**2
Let z(t) = t**2 - 6*t + 7. Let q be z(4). Let g(r) = r. Let u(w) = 2*w - 1. Let b(y) = -y**3 + y**2 - 1. Let c be b(-1). What is c*u(m) + q*g(m)?
m - 1
Let k(u) be the third derivative of -1/60*u**5 - 2*u**2 - 5/24*u**4 + 0*u**3 + 0 + 0*u. Let f(n) = -n**2 - 7*n. Calculate -5*f(y) + 7*k(y).
-2*y**2
Let j(y) = -y + 1. Let n(t) be the second derivative of -t**5/10 + t**3 - 4*t**2 + t + 10. Determine 6*j(k) + n(k).
-2*k**3 - 2
Let t be (3 - -4)*(-1 - -2). Let w = -12 + t. Let l = w - -8. Let k(c) = -2*c**3 - 2*c**2 - 3*c + 1. Let g(n) = 4*n**3 + 3*n**2 + 5*n - 1. Give l*g(q) + 5*k(q).
2*q**3 - q**2 + 2
Let y(i) = i + 1. Let m = 5 + -8. Let g be (-1)/((-1)/(-1) - 2). Let b(w) be the first derivative of -2*w**3/3 + 3*w**2/2 + 4*w + 57. What is g*b(x) + m*y(x)?
-2*x**2 + 1
Let k(i) = -6*i + 3. Let p(m) = 17*m - 8. Give -11*k(u) - 4*p(u).
-2*u - 1
Let a(y) = -5*y**2 + 3*y - 3. Let l = -7 - -10. Let o be -4 + (-2 - -5)/l. Let p(x) = -5*x + 9*x**2 - 2 + 4 + 3. Give o*p(b) - 5*a(b).
-2*b**2
|
{
"pile_set_name": "DM Mathematics"
}
|
at -2*a - 10*a**5 - 4*a + 7*a**o + 6*a**3 + 3*a = 0.
-1, 0, 1
Let c(h) = -3*h**4 + h**2 + 7. Suppose -10*x + x - 45 = 0. Let b(t) = -2*t**4 + 6. Let p be -1*(-1 + 1 - 4). Let g(u) = p*c(u) + x*b(u). Factor g(z).
-2*(z - 1)**2*(z + 1)**2
Suppose -4*s - 4*t = -16, -t - 26 = -6*s + s. Let x(m) be the second derivative of 0 + 1/10*m**s - 1/2*m**4 - m**2 + m**3 + m. Factor x(r).
2*(r - 1)**3
Factor 2/7 + 0*k - 2/7*k**2.
-2*(k - 1)*(k + 1)/7
Factor -14/15*a**2 - 4/15*a - 6/5*a**3 - 2/15*a**5 + 0 - 2/3*a**4.
-2*a*(a + 1)**3*(a + 2)/15
Suppose -3*i + 15 = -s + 5, 4*i - 4*s - 24 = 0. Factor i*m**3 - 4*m**3 + 3*m**2 + 2*m**3 + 2*m + m**3.
m*(m + 1)*(m + 2)
Suppose 0 = 2*i - 2*h + 54, -73 = 3*i + 3*h - 8*h. Let r = 34 + i. What is f in 0*f - f**2 - 1/2*f**r + 0 = 0?
-2, 0
Let q(x) be the second derivative of -2*x**7/21 + 4*x**6/15 + 4*x**5/5 - 2*x**4/3 - 2*x**3 + 10*x. Determine t, given that q(t) = 0.
-1, 0, 1, 3
Let 3*y**5 - 663*y + 663*y + 3*y**4 = 0. Calculate y.
-1, 0
What is z in -16*z + 6*z**2 + 35*z + 32 - 71*z = 0?
2/3, 8
Let s be -1*(-2 - 0)*1. Find l such that l**s - 4 + 1 + 2*l**2 = 0.
-1, 1
Let q = -23 - -32. Let s = -6 + q. Solve 0*g**2 + 2*g**s + 0*g**2 - 4*g**2 + 2*g**5 - 8*g**3 = 0.
-1, 0, 2
Let m(d) = 2*d + 16. Let z be m(-8). Let y(g) be the second derivative of 1/3*g**4 + 0*g**2 - 3/10*g**5 - 2*g + 0 + z*g**3. Determine q, given that y(q) = 0.
0, 2/3
Let z(r) be the third derivative of -r**7/3780 - r**3/2 - 10*r**2. Let y(i) be the first derivative of z(i). Factor y(s).
-2*s**3/9
Let -4*h**3 - 61*h**2 - 57*h**2 - 6*h**4 - 8 + 136*h**2 = 0. Calculate h.
-2, -2/3, 1
Let l(q) be the first derivative of q**3/9 + q**2/3 + q/3 + 18. Factor l(v).
(v + 1)**2/3
Let w(h) be the third derivative of -1/30*h**5 + 0 + 0*h**7 - 1/336*h**8 + 0*h + 1/3*h**3 - 3*h**2 + 1/30*h**6 - 1/8*h**4. Factor w(m).
-(m - 1)**3*(m + 1)*(m + 2)
Let x(i) = -i**3 - i**2 - i + 2. Let s be x(0). Let l(m) be the third derivative of s*m**2 - 2/21*m**3 - 1/70*m**5 + 0 + 0*m + 5/84*m**4. Factor l(z).
-2*(z - 1)*(3*z - 2)/7
Let r be -3 + -1 + -1*(-29)/7. Let x(z) be the first derivative of 3 + r*z**2 - 1/14*z**4 - 4/21*z**3 + 4/7*z. Factor x(c).
-2*(c - 1)*(c + 1)*(c + 2)/7
Let w = 1 - -9. Let b be ((-8)/(-20))/(8/w). Suppose -b*z**2 + 0*z**3 + 1/2*z**4 + 1/4*z**5 - 1/4*z + 0 = 0. What is z?
-1, 0, 1
Let t(w) be the third derivative of 0*w**4 + 7/120*w**6 + 0 + 0*w + 1/14*w**7 + 0*w**3 + 3/112*w**8 - 2*w**2 + 1/60*w**5. Factor t(n).
n**2*(n + 1)*(3*n + 1)**2
Let g = 18 + -8. Factor -2*d**3 + 9*d**2 - 2*d + 8*d**4 - g*d**3 + d**5 - 3*d**5 - d**2.
-2*d*(d - 1)**4
Let s = -139 - -139. Let j(d) be the second derivative of 1/2*d**4 - 3*d + 1/8*d**2 + s - 1/5*d**5 - 3/8*d**3. Suppose j(b) = 0. What is b?
1/4, 1
Let v(k) be the first derivative of -1/6*k**6 + 3/5*k**5 - 3/4*k**4 + 4 + 0*k + 0*k**2 + 1/3*k**3. Determine n, given that v(n) = 0.
0, 1
Let o be (-1)/(-5) - (-1 - 320/(-350)). Suppose -2/7 + 0*w + o*w**2 = 0. Calculate w.
-1, 1
Let y(v) be the third derivative of 1/84*v**4 - 1/147*v**7 + 0 + 0*v - 1/294*v**8 + 0*v**3 - 8*v**2 + 1/140*v**6 + 1/42*v**5. Solve y(t) = 0 for t.
-1, -1/4, 0, 1
Find y, given that 2/17*y + 2/17*y**2 + 0 = 0.
-1, 0
Let a(n) be the first derivative of -n**4/2 + 6*n**3/7 + 12*n**2/7 - 8*n/7 - 10. Let a(r) = 0. What is r?
-1, 2/7, 2
Let i(n) = -5*n**2 - 15*n + 14. Let b(k) = -k**2 - k. Let t(y) = 3*b(y) - i(y). Factor t(p).
2*(p - 1)*(p + 7)
Let k be (-76)/176 + (-6)/(-8). Let a = 2/11 + k. Factor 1/4*l + a*l**4 - 1/4*l**3 - 1/2*l**2 + 0.
l*(l - 1)*(l + 1)*(2*l - 1)/4
Let h(v) = -36*v**4 + 120*v**3 - 63*v**2 - 120*v + 84. Let w(k) = 5*k**4 - 17*k**3 + 9*k**2 + 17*k - 12. Let l(y) = 2*h(y) + 15*w(y). Solve l(b) = 0.
-1, 1, 4
Let w(u) = 9*u**2. Let s(j) = 4*j**2. Suppose 4*k = -v - 13, 0 = 5*v - 3*k + 5*k - 25. Let x(d) = v*s(d) - 3*w(d). Suppose x(c) = 0. What is c?
0
Let q(l) = -l**2 - 1. Let j(f) = f - 5. Let a(s) = j(s) - 4*q(s). Let x be a(1). Factor 3*y**2 - 4*y + 3*y - 3*y**x + 4*y**4 - 3*y**3.
y*(y - 1)**3
Let a(v) be the first derivative of 108*v**5/5 - 9*v**4 - 35*v**3 + 18*v**2 - 3*v - 23. Factor a(u).
3*(u - 1)*(u + 1)*(6*u - 1)**2
Let y(a) be the third derivative of a**5/180 - a**4/72 + 3*a**2. Solve y(k) = 0 for k.
0, 1
Let u(x) be the third derivative of 0*x**4 + 1/336*x**8 + 2*x**2 + 1/24*x**3 + 1/24*x**6 - 1/56*x**7 - 1/24*x**5 + 0 + 0*x. Determine s so that u(s) = 0.
-1/4, 1
Suppose -3*y = -y + 3*r - 108, -r - 140 = -3*y. Let g be (-2)/(-10) + y/10. Factor -g*q**4 - 24*q**3 + q**5 - 15*q - 2*q**5 - 3*q**4 - 32*q**2 - q.
-q*(q + 2)**4
Let l(h) = h**2 + 6*h + 1. Let c be l(-6). Let k be c + -1*(0 - -1). Factor 1/3*u**2 + 2/3*u + k.
u*(u + 2)/3
Factor -i**2 - 9*i**2 - 6*i - 3*i**2 - 14*i**2 - 21*i**3.
-3*i*(i + 1)*(7*i + 2)
Factor 30*r - 15*r**2 + 0*r**4 - 5*r - 10 - 5*r**3 + 5*r**4.
5*(r - 1)**3*(r + 2)
Let m(d) = -2*d + 45. Let a(w) = w - 22. Let z(v) = -9*a(v) - 4*m(v). Let l be z(16). Factor -2/3*r**l + 2/3*r**4 - 2/3*r + 0 + 2/3*r**3.
2*r*(r - 1)*(r + 1)**2/3
Let w = -31 - -34. Let r be 21/10 + w/(-2). Let -24/5*i - 72/5*i**3 - r - 66/5*i**2 - 27/5*i**4 = 0. What is i?
-1, -1/3
Let a = 63/65 + -10/13. Let r(b) be the first derivative of -1/3*b**3 + a*b**5 + 2 - 1/6*b**2 - 2/9*b**6 + 5/12*b**4 + 0*b. Let r(k) = 0. What is k?
-1, -1/4, 0, 1
Let m be 1/5*44/11. Let i be 12/75*(-70)/(-4). Factor i*u**2 + m + 18/5*u.
2*(u + 1)*(7*u + 2)/5
Let k(c) be the second derivative of -4/9*c**4 + 7/9*c**3 - 2*c - 2/3*c**2 + 0 + 2/45*c**6 - 1/63*c**7 + 1/15*c**5. Let k(p) = 0. What is p?
-2, 1
Let u(v) be the third derivative of 1/30*v**5 - 1/3*v**3 + 4*v**2 + 0*v - 1/60*v**6 + 1/12*v**4 + 0. Factor u(y).
-2*(y - 1)**2*(y + 1)
Factor 60*k**2 - 12*k - 210*k**4 + k**3 - 135*k**5 - 12*k**5 + 8*k**3.
-3*k*(k + 1)**2*(7*k - 2)**2
Let g be 4/(-1200)*(2 - 4). Let a(l) be the third derivative of 1/15*l**3 + 0 - l**2 + g*l**5 + 0*l + 1/30*l**4. Factor a(m).
2*(m + 1)**2/5
Let g(a) be the third derivative of a**7/12600 - a**5/600 - a**4/12 + a**2. Let h(n) be the second derivative of g(n). Factor h(f).
(f - 1)*(f + 1)/5
Factor 0*n**3 - n**2 + 0 + 0*n + 1/4*n**4.
n**2*(n - 2)*(n + 2)/4
Suppose -5*v = 15, 0 = -2*m - 2*v + 7 + 1. Let 2 + 8*g**2 + 2*g**3 + m*g + 1 - g**5 - 2*g**4 - 1 = 0. What is g?
-1, 2
Let m(b) = -b**2 + 8*b + 2. Let i be m(8). Let t be 4/(-2 - (-24)/i). Factor t*x**2 - 4/5*x + 2/5.
2*(x - 1)**2/5
Let j be 4/3*(-27)/(-18). Suppose 0 - 4/3*p - 2/3*p**3 + 10/3*p**4 - 10/3*p**2 + j*p**5 = 0. Calculate p.
-1, -2/3, 0, 1
Determine a so that 1/8*a**5 + 0*a**2 + 0*a + 1/4*a**3 + 3/8*a**4 + 0 = 0.
-2, -1, 0
Let n(c) be the second derivative of c**4/30 + c**3/15 - 2*c**2/5 + 13*c. Factor n(k).
2*(k - 1)*(k + 2)/5
Factor 0 + 1/4*a**5 + 0*a**3 - 1/2*a**2 - 1/4*a + 1/2*a**4.
a*(a - 1)*(a + 1)**3/4
Let k(x) be the third derivative of x**5/15 - 2*x**3/3 - 12*x**2. Factor k(j).
4*(j - 1)*(j + 1)
Let p(n) = n - 5. Suppose 2*q = q - 1, t - 5*q = 10. Let z be p(t). Factor z*g - 5 + 4 - 1 + g**2 + g.
(g - 1)*(g + 2)
Let g be (-5 + -1)*4/8. Let f(b) = -2*b. Let l(p) = -p**2 + 3*p. Let z(q) = g*f(q) - 2*l(q). Factor z(d).
2*d**2
Let o = -90/7 + 367/28. Factor 0 - o*i**2 + 0*i + 1/4*i**4 + 0*i**3.
i**2*(i - 1)*(i + 1)/4
Let a(t) be the second derivative of t**7/35 - 22*t**6/75 + 16*t**5/25 + 16*t**4/15 + 56*t. Solve a(y) = 0.
-2/3, 0, 4
Let q(c) be the first derivative of -14*c**5/5 - 6*c**4 - 2*c**3 + 2*c**2 - 8. Determine t, given that q(t) = 0.
-1, 0, 2/7
Let g(o) = -o**2 + 2*o. Suppose 0 = -7*a + 2*a + 10. Let l be g(a). Factor 1/2*v**5 + 5/2*v**3 + 2*v**4 + 0*v + l + v**2.
v**2*(v + 1)**2*(v + 2)/2
Let s be (-6)/(-2) - -14*(-1)/6. Factor -2/3*h**3 + 2/3*h + s*h**2 - 2/3.
-2*(h - 1)**2*(h + 1)/3
Let h(c) be the first derivative of -1/7*c**2 - 1 + 0*c - 4/21*c**3 - 1/14*c**4. Factor h(b).
-2*b*(b + 1)**2/7
Let s(w) = 13*w**3 + 11*w**2 + 5*w - 7. Let j(v) = -9*v**3 - 7*v**2 - 3*v + 5. Let n be 132/(-20) + (-4)/10. Let t(i) = n*j(i) - 5*s(i). Factor t(u).
-2*u*(u + 1)*(u + 2)
Factor -400*f**2 + 80*f**3 - 52*f**4 + 26*f**4 + 22*f**4.
-4*f**2*(f - 10)**2
Let b be (-2)/5 - -3*12/15. Factor -1/2 - s - 1/2*s**b.
-(s + 1)**2/2
Suppose -3*h = 2*m + 2, 3*m - m - 10 = 3*h. Let q = -1 - -1. Factor l**5 + 10*l**3 - 3*l**4 + 5*l - 1 - 10*l**2 + q*l - m*l**4.
(l - 1)**5
|
{
"pile_set_name": "DM Mathematics"
}
|
1068 a factor of 23567990?
False
Is 1157929411 a multiple of 34?
False
Is 13 a factor of 47802723?
False
Is 2486 a factor of 47002802?
True
Is 119285408 a multiple of 33?
False
Does 13 divide 37406122?
True
Is 21125587 a multiple of 7?
True
Is 23 a factor of 5571249637?
False
Is 1108 a factor of 5354964?
True
Is 85 a factor of 2960805?
True
Does 105 divide 52595760?
True
Does 29 divide 108241959?
False
Does 56 divide 9498098?
False
Is 1140799830 a multiple of 2417?
True
Is 19 a factor of 346045582?
False
Is 1031 a factor of 26221268?
False
Is 3437 a factor of 56394296?
True
Does 551 divide 95964364?
True
Is 8894 a factor of 229002712?
True
Is 22 a factor of 13931478?
True
Does 5 divide 1250632659?
False
Does 1361 divide 88132916?
True
Does 1843 divide 1279641816?
False
Is 98389676 a multiple of 28?
True
Is 1039218 a multiple of 44?
False
Is 111 a factor of 620276658?
True
Is 1757 a factor of 32588836?
True
Does 205 divide 12149982?
False
Is 17238606 a multiple of 11?
True
Does 27 divide 607604619?
False
Is 512895474 a multiple of 714?
True
Is 29406466 a multiple of 8?
False
Is 34918399 a multiple of 1551?
False
Is 36 a factor of 98973121?
False
Is 8868123 a multiple of 6?
False
Does 631 divide 59869280?
True
Is 1562 a factor of 391445010?
True
Is 92847274 a multiple of 34?
False
Is 12305160 a multiple of 570?
True
Does 1021 divide 3256234?
False
Is 105 a factor of 71522535?
True
Is 5 a factor of 193242272?
False
Does 19 divide 348803349?
True
Is 114433998 a multiple of 14?
True
Does 1418 divide 1119949162?
True
Is 3845520 a multiple of 872?
True
Is 13 a factor of 645924065?
False
Is 5264 a factor of 1453200896?
True
Is 6 a factor of 77891899?
False
Does 908 divide 1523932720?
True
Is 2999 a factor of 137179400?
False
Does 49 divide 21224399?
True
Is 29355202 a multiple of 3?
False
Is 7752170 a multiple of 170?
True
Is 1377 a factor of 2623215898?
False
Does 10 divide 124080200?
True
Is 34928824 a multiple of 139?
False
Does 4209 divide 246601091?
False
Does 33 divide 1270173446?
False
Is 4310 a factor of 659649810?
True
Is 152687343 a multiple of 3?
True
Is 2340 a factor of 59376650?
False
Does 101 divide 2291303675?
True
Does 41 divide 255340251?
True
Does 11 divide 162325042?
True
Is 166 a factor of 332146899?
False
Is 2785440330 a multiple of 10?
True
Is 2312544 a multiple of 96?
True
Is 989968048 a multiple of 16?
True
Is 146 a factor of 1188413428?
True
Does 182 divide 4651781?
False
Is 646 a factor of 457492678?
True
Is 174243232 a multiple of 3028?
True
Does 652 divide 622718185?
False
Is 15 a factor of 13088881?
False
Is 1122837743 a multiple of 18?
False
Does 936 divide 529600032?
True
Is 657115074 a multiple of 14?
True
Does 50 divide 2034481665?
False
Is 27 a factor of 6366627216?
True
Is 590 a factor of 50247940?
True
Does 13658 divide 2457060542?
True
Is 21 a factor of 15032469?
False
Does 1253 divide 885357469?
False
Is 3370108820 a multiple of 6081?
False
Does 365 divide 41731721?
False
Does 2185 divide 863920999?
False
Does 967 divide 2717667437?
True
Does 7873 divide 566675645?
False
Does 2109 divide 300093329?
False
Is 1865 a factor of 38380704?
False
Is 72027632 a multiple of 1999?
False
Is 215 a factor of 1786528740?
True
Does 118 divide 924596879?
False
Does 778 divide 1102472980?
False
Is 379994623 a multiple of 109?
False
Does 13 divide 24177816?
True
Is 36768597 a multiple of 22?
False
Is 69 a factor of 49265282?
False
Is 25 a factor of 10836025?
True
Is 69371898 a multiple of 2325?
False
Does 154 divide 130175732?
False
Is 766 a factor of 14253728?
True
Is 799362 a multiple of 262?
True
Does 47 divide 45123243?
True
Is 679442386 a multiple of 17?
False
Is 4 a factor of 790810663?
False
Does 582 divide 57831012?
True
Is 118 a factor of 3779628382?
True
Is 708373024 a multiple of 586?
False
Is 13 a factor of 138712381?
False
Is 41976515 a multiple of 5?
True
Is 7213948 a multiple of 62?
True
Does 867 divide 41353299?
True
Is 31 a factor of 38295478?
True
Does 74 divide 85778802?
True
Does 1036 divide 212998492?
True
Does 27 divide 635634?
True
Is 3617 a factor of 2550806059?
True
Is 4435080 a multiple of 3?
True
Is 7578558 a multiple of 18?
True
Does 641 divide 4927134317?
True
Is 343 a factor of 2198153230?
True
Is 262 a factor of 2815939648?
False
Is 583307320 a multiple of 404?
True
Does 679 divide 38711387?
False
Is 1072 a factor of 339092564?
False
Is 53 a factor of 480731879?
False
Does 10 divide 71134010?
True
Is 43631253 a multiple of 63?
False
Is 201545726 a multiple of 3361?
True
Is 443 a factor of 226400466?
True
Is 35 a factor of 24455130?
True
Does 2758 divide 690462272?
False
Is 77 a factor of 86684734?
False
Is 706710025 a multiple of 1913?
True
Is 1455 a factor of 196398198?
False
Is 500847376 a multiple of 16?
True
Is 1250 a factor of 327966250?
True
Is 6 a factor of 12896043?
False
Is 2186328588 a multiple of 102?
True
Is 522 a factor of 17768358?
True
Is 595137108 a multiple of 20?
False
Is 33979149 a multiple of 602?
False
Is 144230610 a multiple of 30?
True
Is 748 a factor of 38901462?
False
Does 7 divide 45469214?
True
Is 1233556522 a multiple of 167?
True
Is 205 a factor of 650255490?
True
Is 25647830 a multiple of 2158?
True
Is 322 a factor of 28046081?
False
Does 1913 divide 54344049?
False
Does 458 divide 416367342?
True
Is 232981485 a multiple of 11?
True
Does 689 divide 3592170400?
True
Does 5 divide 28629650?
True
Does 266 divide 8996918?
True
Does 2189 divide 79598607?
True
Does 35 divide 24011120?
True
Is 15911645 a multiple of 355?
False
Is 59748942 a multiple of 1726?
True
Is 274384931 a multiple of 98?
False
Is 478543309 a multiple of 57?
False
Is 555 a factor of 280086020?
False
Does 36 divide 94512888?
True
Does 42 divide 2218874027?
False
Is 874 a factor of 121621194?
False
Is 181255965 a multiple of 7095?
True
Is 38 a factor of 1235870?
False
Is 17 a factor of 122383459?
True
Is 33 a factor of 4306797?
True
Is 3380931 a multiple of 8?
False
Is 15147522 a multiple of 922?
False
Does 96 divide 11670357?
False
Does 219 divide 1692367176?
True
Does 2513 divide 442421189?
True
Is 50979216 a multiple of 383?
False
Is 511246485 a multiple of 27?
True
Is 462897792 a multiple of 504?
True
Does 19 divide 1705147?
False
Does 63 divide 28451518?
False
Is 3684238 a multiple of 37?
True
Is 190123776 a multiple of 922?
True
Is 41001541 a multiple of 1193?
False
Does 371 divide 5319408?
False
Is 17913141 a multiple of 23?
False
Is 647922487 a multiple of 35?
False
Does 456 divide 2013132384?
True
Is 39 a factor of 372996?
True
Is 29 a factor of 51316602?
True
Is 23 a factor of 113069047?
False
Is 568 a factor of 800835696?
True
Is 105607263 a multiple of 461?
True
Is 309133767 a multiple of 93?
True
Does 2067 divide 401887876?
False
Is 955 a factor of 12222090?
True
Is 336926375 a multiple of 294?
False
Is 81704064 a multiple of 4056?
True
Is 11277825 a multiple of 10?
False
Is 1323 a factor of 3081759156?
True
Is 9 a factor of 148397085?
True
Is 316198654 a multiple of 947?
False
Is 263 a factor of 645949040?
True
Is 774 a factor of 1747435242?
False
Is 65 a factor of 5172505?
True
Is 343145591 a multiple of 78?
False
Is 2657775755 a multiple of 887?
True
Is 98832899 a multiple of 29?
True
Does 6 divide 114229714?
False
Is 1999 a factor of 19592199?
True
Is 43783218 a multiple of 375?
False
Is 42 a factor of 38507490?
True
Does 54 divide 109674?
True
Does 385 divide 426314735?
True
Is 8 a factor of 122926329?
False
Is 239952709 a multiple of 12?
False
Is 34414344 a multiple of 36?
True
Is 1812237144 a multiple of 15?
False
Does 121 divide 61142268?
True
Is 41 a factor of 259204829?
True
Is 4699174 a multiple of 449?
False
Is 117 a factor of 210710364?
False
Is 6 a factor of 25776578?
False
Is 241326431 a multiple of 8?
False
Is 1832 a factor of 3514930160?
True
Is 40 a factor of 44532984?
False
Does 139 divide 2857701?
True
Does 17 divide 6196577?
False
Does 148 divide 79023757?
False
Does 33 divide 19618665?
True
Is 606393566 a multiple of 235?
False
Does 57 divide 9666288?
True
Is 617 a factor of 21638566?
False
Is 59708920 a multiple of 40?
True
Is 1575 a factor of 35969329?
False
Is 2102790 a multiple of 82?
False
Is 399 a factor of 138479052?
False
Is 29762081 a multiple of 1962?
False
Do
|
{
"pile_set_name": "DM Mathematics"
}
|
271*h**2/2 - 1245*h/2 + 756.
(h - 72)*(h - 1)*(4*h + 21)/2
Suppose -5*q**2 + 516330*q - 13329833445 = 0. Calculate q.
51633
Determine q so that -q**4/2 - 79*q**3/2 - 303*q**2/2 - 225*q/2 = 0.
-75, -3, -1, 0
Solve 2*r**3/3 - 45992*r**2/3 + 264316000*r/3 + 1058000000/3 = 0.
-4, 11500
What is z in -232*z**3 - 3718*z**2 + 30528*z + 792 = 0?
-22, -3/116, 6
Factor -3*l**2 - 230184*l - 690525.
-3*(l + 3)*(l + 76725)
Find i, given that -4*i**3 + 9064*i**2/3 + 958176*i + 637440 = 0.
-240, -2/3, 996
Determine l so that -4*l**2 - 2757956*l - 2757952 = 0.
-689488, -1
Solve -12*j**5 - 14881*j**4/2 + 52178*j**3 - 110565*j**2 + 63018*j + 5643/2 = 0 for j.
-627, -1/24, 1, 3
Determine m so that 66*m**3 + 7130*m**2/3 + 21408*m + 216 = 0.
-18, -1/99
Factor 28*q**2 + 18444*q + 127736.
4*(q + 7)*(7*q + 4562)
What is f in 2*f**4/13 + 90*f**3/13 + 592*f**2/13 = 0?
-37, -8, 0
What is d in -d**4/5 + 646*d**3/5 - 93903*d**2/5 - 95846*d/5 + 189104/5 = 0?
-2, 1, 223, 424
Factor 52*s**3 - 35116*s**2 - 24352*s + 10816.
4*(s - 676)*(s + 1)*(13*s - 4)
Solve -5*f**2/4 + 9630*f - 18547380 = 0 for f.
3852
Solve -35*m**3 - 594*m**2 - 1803*m + 52 = 0.
-13, -4, 1/35
Suppose g**5/5 - 17*g**4/5 + 12*g**3/5 + 944*g**2/5 - 5056*g/5 + 1536 = 0. What is g?
-8, 4, 5, 12
Let 5*r**4/4 - 283*r**3/4 - 80*r**2 + 38209*r - 60648 = 0. Calculate r.
-21, 8/5, 38
Suppose -s**2/4 + 2575*s/4 - 12141 = 0. What is s?
19, 2556
Factor -4*d**3 - 5376*d**2 - 32148*d - 48168.
-4*(d + 3)**2*(d + 1338)
Let -48*o**2 + 1994*o - 331 = 0. Calculate o.
1/6, 331/8
Determine j so that -2*j**3/13 - 866*j**2/13 - 2580*j/13 = 0.
-430, -3, 0
Factor 2*t**3/5 - 4374*t**2/5 + 4372*t/5.
2*t*(t - 2186)*(t - 1)/5
Factor -5*k**5 - 5715*k**4 - 1635915*k**3 - 1630205*k**2.
-5*k**2*(k + 1)*(k + 571)**2
What is n in 20*n**2 + 113*n - 603 = 0?
-9, 67/20
Factor -3*m**2 + 153036*m - 1951668108.
-3*(m - 25506)**2
Find f such that 2*f**5 - 264*f**4/5 + 1984*f**3/5 - 2892*f**2/5 - 3434*f/5 + 1716/5 = 0.
-1, 2/5, 3, 11, 13
Suppose 2*a**4 + 3486*a**3 + 1517276*a**2 - 1527744*a - 3041536 = 0. What is a?
-872, -1, 2
Find o such that -o**3/2 - 2935*o**2/2 - 773696*o - 113730486 = 0.
-2307, -314
Suppose -f**3/3 - 6268*f**2/3 - 9821956*f/3 = 0. What is f?
-3134, 0
Find m such that -4*m**5/7 + 24*m**4 - 2564*m**3/7 + 16272*m**2/7 - 29376*m/7 - 6912 = 0.
-1, 7, 12
Factor q**4 - 264*q**2 + 1024*q - 1008.
(q - 14)*(q - 2)**2*(q + 18)
Find a, given that -a**4/2 - 13*a**3/4 + 381*a**2/2 - 707*a + 686 = 0.
-49/2, 2, 14
Solve 3*l**2 + 5061*l + 40296 = 0.
-1679, -8
Let 4*q**3 + 9512*q**2 - 634436*q + 1817592 = 0. What is q?
-2443, 3, 62
Solve -2*a**2 + 54988*a + 274990 = 0 for a.
-5, 27499
Let w**5/2 - 174*w**4 - 3543*w**3/2 - 6593*w**2 - 10722*w - 6444 = 0. Calculate w.
-3, -2, 358
Factor 2*m**3 - 4896*m**2 - 4922*m + 58776.
2*(m - 2449)*(m - 3)*(m + 4)
Let -3*a**4 - 6*a**3 + 183*a**2 + 546*a - 720 = 0. Calculate a.
-6, -5, 1, 8
Let -k**5/3 + 35*k**4/3 - 56*k**3 - 3316*k**2/3 + 14240*k/3 - 4800 = 0. Calculate k.
-9, 2, 20
Factor 3*x**2/5 - 81*x/5 - 564.
3*(x - 47)*(x + 20)/5
Factor s**2/2 + 145652*s + 291303/2.
(s + 1)*(s + 291303)/2
Let v**2/6 - 11*v - 511/6 = 0. Calculate v.
-7, 73
Suppose 14*j**3/9 + 634666*j**2/9 + 815980*j/9 + 181328/9 = 0. What is j?
-45332, -1, -2/7
Let -25*w**4 - 4895*w**3 + 5905*w**2 - 985*w = 0. What is w?
-197, 0, 1/5, 1
Solve -2*n**5 + 1782*n**4 + 14352*n**3 + 28768*n**2 = 0.
-4, 0, 899
Factor -81*j**2 - 4965*j - 4884.
-3*(j + 1)*(27*j + 1628)
Let u**5/6 - 13*u**4 + 286*u**3/3 - 404*u**2/3 - 384*u + 2240/3 = 0. Calculate u.
-2, 2, 4, 70
Solve -4*z**2 + 584*z + 21120 = 0.
-30, 176
Solve -2*i**2/5 + 817996*i/5 - 83639682002/5 = 0.
204499
Factor 5636*z**3/9 + 312*z**2 - 5*z/9.
z*(2*z + 1)*(2818*z - 5)/9
Factor -3*z**2/5 + 14454*z/5 - 57576.
-3*(z - 4798)*(z - 20)/5
Factor 2*t**2/11 + 49934*t/11 - 49936/11.
2*(t - 1)*(t + 24968)/11
Let 2*o**3/15 - 4204*o**2/3 + 126058*o/15 - 21008/3 = 0. Calculate o.
1, 5, 10504
Suppose -4*s**4/5 + 15972*s**3/5 - 79756*s**2/5 - 15972*s/5 + 15952 = 0. What is s?
-1, 1, 5, 3988
What is h in 2888*h**5/3 - 52136*h**4/3 + 63486*h**3 - 9916*h**2/3 + 130*h/3 = 0?
0, 1/38, 5, 13
Solve 3*u**5 + 96*u**4 - 2610*u**3 - 5496*u**2 - 2793*u = 0 for u.
-49, -1, 0, 19
Determine f, given that -3*f**5/2 + 48*f**4 - 237*f**3 - 624*f**2 - 675*f/2 = 0.
-1, 0, 9, 25
Determine p, given that 5*p**5 + 145*p**4 - 95*p**3 - 16105*p**2 - 28950*p + 45000 = 0.
-25, -12, -3, 1, 10
What is p in p**5 + 169*p**4 - 519*p**3 - 509*p**2 + 1210*p + 1032 = 0?
-172, -1, 2, 3
Determine w so that -3*w**5 + 5992*w**4 - 13965*w**3 - 4*w**2 + 7980*w = 0.
-2/3, 0, 1, 2, 1995
Find l, given that 4*l**3 - 2157464*l**2 + 290919996836*l - 1163645468176 = 0.
4, 269681
Solve 4*l**3 + 44796*l**2 + 125350380*l - 376454412 = 0 for l.
-5601, 3
Factor y**4 + 68*y**3 - 1413*y**2 - 11396*y + 211484.
(y - 14)**2*(y + 13)*(y + 83)
Factor 3*j**4 + 153*j**3 + 1320*j**2.
3*j**2*(j + 11)*(j + 40)
Solve -3*a**5/4 + 14721*a**4/4 - 17933097*a**3/4 - 309680265*a**2/4 + 168275238*a - 86375577 = 0.
-19, 1, 2462
Suppose 2*x**5/7 + 974*x**4/7 - 1854*x**3 + 11026*x**2/7 + 12976*x/7 - 12000/7 = 0. Calculate x.
-500, -1, 1, 12
Solve -12*n**5 - 1144*n**4 - 6880*n**3 - 10264*n**2 + 5484*n + 12816 = 0.
-89, -3, -4/3, 1
Find c such that 20*c**4/7 - 922*c**3/7 + 9052*c**2/7 - 128*c = 0.
0, 1/10, 14, 32
Determine x, given that 2156*x**5 - 3066*x**4 - 17750*x**3 - 17064*x**2 - 3672*x + 864 = 0.
-1, -6/7, 3/22, 4
Factor 2*x**2/5 + 740012*x/5 + 68452220018/5.
2*(x + 185003)**2/5
Determine m so that 4*m**3 + 1624*m**2 + 6448*m + 6432 = 0.
-402, -2
Determine h so that h**2/6 - 66*h - 2821/6 = 0.
-7, 403
Solve -11*p**2 - 6917*p + 1258 = 0.
-629, 2/11
Solve 5*x**2/3 - 8*x - 255 = 0.
-51/5, 15
Let -s**4/6 + 343*s**3/3 - 24623*s**2/6 - 343*s/3 + 4104 = 0. What is s?
-1, 1, 38, 648
Factor 2*l**2/3 - 2314*l/3.
2*l*(l - 1157)/3
Find t, given that -2*t**3/5 - 20174*t**2/5 - 10188864*t - 71124480 = 0.
-5040, -7
Determine g, given that -55*g**2 - 675*g - 1250 = 0.
-10, -25/11
Let l**2 - 22*l - 504 = 0. What is l?
-14, 36
What is d in -9*d**4 + 6*d**3 + 48*d**2 + 42*d + 9 = 0?
-1, -1/3, 3
Factor -r**3 + 988*r**2 + 1979*r + 990.
-(r - 990)*(r + 1)**2
Let 2*q**4 - 80*q**3 + 172*q**2 + 8720*q + 28050 = 0. Calculate q.
-5, 17, 33
What is p in -4*p**3 - 72*p**2 + 4252*p - 27360 = 0?
-45, 8, 19
Factor 22*o**2 + 3378*o.
2*o*(11*o + 1689)
Factor t**4/3 - 1049*t**3/3 - 6337*t**2/3 + 7385*t/3.
t*(t - 1055)*(t - 1)*(t + 7)/3
Factor 3*x**3 + 14229*x**2 - 85455*x + 128223.
3*(x - 3)**2*(x + 4749)
Solve -f**4/4 - 5*f**3/4 + 61*f**2 - 265*f + 300 = 0 for f.
-20, 2, 3, 10
Let 3*j**4/5 + 324*j**3/5 + 1683*j**2 - 8742*j/5 = 0. Calculate j.
-62, -47, 0, 1
Factor 3*x**4/2 + 771*x**3 + 202719*x**2/2 + 587502*x + 870966.
3*(x + 3)**2*(x + 254)**2/2
Suppose 2*c**4/11 + 174*c**3/11 - 2666*c**2/11 - 6510*c/11 + 9000/11 = 0. What is c?
-100, -3, 1, 15
What is x in 2*x**5/3 - 210*x**4 + 15892*x**3/3 + 51476*x**2/3 + 17582*x + 17794/3 = 0?
-1, 31, 287
Factor -3*p**3/7 - 120*p**2/7 + 1611*p/7 - 3672/7.
-3*(p - 8)*(p - 3)*(p + 51)/7
Suppose -3*v**5 - 3519*v**4 - 7029*v**3 - 3513*v**2 = 0. Calculate v.
-1171, -1, 0
Let 22*r**4 + 5908*r**3 - 11882*r**2 + 5952*r = 0. Calculate r.
-2976/11, 0, 1
Let -o**5/10 - 3*o**4/2 + 101*o**3/2 + 1539*o**2/2 + 9108*o/5 = 0. Calculate o.
-24, -11, -3, 0, 23
Solve l**2/2 - 69*l/2 - 201335 = 0 for l.
-601, 670
Factor 3*q**3/4 - 1041*q**2/4 - 6327*q/4 - 9531/4.
3*(q - 353)*(q + 3)**2/4
Determine o, given that 3*o**3/2 - 750*o**2 + 221439*o/2 - 4028049 = 0.
54, 223
Factor 3*a**3 + 288*a**2 + 6612*a + 29952.
3*(a + 6)*(a + 26)*(a + 64)
Factor 2*x**2/13 + 14906*x/13 + 208292/13.
2*(x + 14)*(x + 7439)/13
Factor -2*s**3 - 24*s**2 + 90*s.
-2*s*(s - 3)*(s + 15)
Factor 3*p**4 - 5808*p**3 + 17406*p**2 - 17400*p + 5799.
3*(p - 1933)*(p - 1)**3
Solve 2*n**2/9 + 18628*n/9 - 149152/9 = 0 for n.
-9322, 8
Factor 14*m**5 - 556*m**4 + 38082*m**3/7 + 11120*m**2/7 + 800*m/7.
2*m*(m - 20)**2*(7*m + 1)**2/7
Solve -3*h**2 - 5073*h + 76770 = 0.
-1706, 15
Factor 3*g**2/5 + 8442*g - 84432/5.
3*(g - 2)*(g + 14072)/5
Find i such that -i**2/2 + 2115*i - 137412 = 0.
66, 4164
Find m such that -2*m**3/3 - 6380*m**2/3 + 44734*m/3 - 25576 = 0.
-3197, 3, 4
Factor -d**3/2 + 2791*d**2/2 - 1868399*d/2 - 111371095/2.
-(d
|
{
"pile_set_name": "DM Mathematics"
}
|
- 17 = -4*b + z for b.
4
Suppose 2*a + 37 - 32 = -5*f, 3*f = 4*a - 29. Solve -n - 3*m = -20, n - 5*n + a*m - 5 = 0 for n.
5
Let f(g) = -g**3 - g**2 + 4*g - 1. Let n be f(3). Let r = -11 - n. Let q = 87567 - 87552. Solve 5*c = -2*z - r, 2*z + q = -3*c + 3*z for c.
-4
Let b(p) = 8 - 19*p - 10*p + 3*p - 47. Let y be b(-9). Let h be (y/(-130))/((2/(-4))/1). Solve 0 = h*r + 2*i + 12, 3*r - 2*i + 0*i = 0 for r.
-2
Let j(q) = -2 - 5*q**3 - 6 + 5 + 4*q + 11*q**3 - 4*q**3. Let c be 1/4 - 9/(-12). Let r be j(c). Solve x = 4, r*s - x + 0 = -7 for s.
-1
Let x be (-42)/(-5)*(-2480)/(-868). Solve -3*q = 2*i - x + 8, 5*q = -3*i + 26 for q.
4
Let z = -3771 + 3773. Solve -3*b - 4 = -z*a, 9*b - 12*b - 1 = -5*a for a.
-1
Suppose -3*m + 129 - 174 = -5*a, -2*a + 4*m + 18 = 0. Solve c - 2*i - 14 = 0, -4*i + a = c - 5*i for c.
4
Suppose -3*p = -2*d - 54, -2*d - 28 = -p + 2*d. Let s be -20*4/p*-1. Solve -s*i - 5*v = -15, 5*v - 5 = 4*i + 28 for i.
-2
Let u(n) = -n**2 + 18*n - 21. Let a be u(16). Suppose 3*t = 4*l - 31, -10*l - 4*t = -a*l + 24. Solve 3*c + 15 = -i, l*c = -5*i + 6 - 26 for c.
-5
Let b(y) = 30*y - 105. Let z be b(9). Let r be (-16)/10 - (-1089)/z. Solve 0 = 2*s - o + 3 - 10, -s = o - r for s.
4
Suppose 0 = 159*l - 952 + 316. Solve 86*y - 5 = 83*y + 5*c, 4*c = l*y + 4 for y.
-5
Let q(k) = -k**2 - 22*k + 33. Let m be 1148/(-56) + (-14)/4 + 1. Let p be q(m). Solve 0 = -8*l + 3*l + 5*r - p, -20 = -4*r for l.
3
Let m be 7/((-70)/16)*(-465)/124. Solve 0 = 5*b + 25, r - 2*b - 15 = -m for r.
-1
Let n(q) = -q**2 - 21*q - 48. Let k be n(-18). Let i be (-2)/k*(-16 + 16). Solve i = -5*z + 25, -a - 2*z + 6 = -3 for a.
-1
Let h be 3*8 - (-8)/16*84/(-6). Solve -15 = 3*a, 0*a + h = -4*f - a for f.
-3
Let d(q) = 6*q**2 + 30*q + 1. Let p be d(-6). Suppose 5*z = -4*s + p, z = 5*s - 3*z + 5. Solve -u + 3 = j, -5*j - 3*u = -4*u + s for j.
0
Let p be -6*3/6 + 3. Suppose 3*s + 23 = 5*d + 5*s, 2*d + 2*s - 8 = p. Solve 3*k - d*b = 12, -7*k - 2*b - 11 = -2*k for k.
-1
Suppose 0 = -509*d + 503*d - 12. Let t be (d + -8)*(-1)/(-6)*-3. Solve 0 = -4*m - p + 15, 2*m + 0 = t*p - 9 for m.
3
Let y(f) = f + 4. Let l be ((-36)/72)/((-3)/42). Let z be y(l). Solve 0*m + 4*m + i = -z, -3 = -3*m - 3*i for m.
-4
Let d be (-98)/(-4) - (-24 - (-897)/46). Solve 30*o - 4*u = d*o - 6, -5*o + 3*u = 13 for o.
-2
Let n = 59 - 0. Let z = n + -40. Suppose 7*y - 54 + z = 0. Solve -2*s + 3*w = 13 + 2, y*w = 4*s + 25 for s.
0
Suppose -x - 2*p - 52 = -2*x, -243 = -4*x + p. Suppose x*a = 48*a + 168. Solve -3*g = -4*u - 2, -a = 3*u - g + 4*g for u.
-2
Suppose 10*x - 14 = -n + 6*x, 0 = 3*n + 4*x - 74. Let b be ((-4)/5)/(78/n - 3). Solve -2*w = 10, -b*w = -s - w + 7 for s.
2
Let f be (170/30)/(3 + (-24)/9). Solve -4*b = m - f, -5 = -4*m - 0*m + 5*b for m.
5
Suppose -16*y + 715 = -373. Suppose y = 12*r - 40. Suppose 0 = 6*x - 3*x - r. Solve 4*s + 6 = d - 0, 5*s = -4*d + x for s.
-1
Let i be ((-6)/15)/2 + 236/(-20) + 14. Solve 9 - 19 = s + 4*r, -i = 4*s - 3*r for s.
-2
Let w be 2/2 + (-15)/(-3). Suppose -w = 5*b - 51. Suppose -b*x - 4*m = -4*x - 30, 0 = -3*x - 2*m + 18. Solve -2*g + 3*i - 6 = 2, -5*g - x = -4*i for g.
2
Let b be 12/(-9) - 41/3. Let x = b + 19. Solve -o + 2*o + 4 = -4*c, 4 = -x*c for o.
0
Suppose -216*s + 1596 = 165*s - 153*s. Solve -6 = -5*x + 2*g, s*x - 21 = 2*g - 11 for x.
2
Suppose 7*b - 611 = -597. Solve -2*q + 3*n + 12 = 0, -5*q - b*n + 4 + 7 = 0 for q.
3
Let q(c) = -3*c**2 - 43*c + 138. Let d be q(-17). Solve 25 = 3*b + 5*w, d*b + 10 = -3*b + 2*w for b.
0
Suppose -120*o = 27*o - 735. Solve c - 15 = 4*w, 2 = -o*c - 3 for w.
-4
Let v be 4/(-5)*65/(-26). Solve -3*y + 3*n - 27 = 0, v*n + 5 = 15 for y.
-4
Suppose 4*c - 23 = -3*b, -b + 13*c + 4 = 18*c. Suppose -21 = -2*a - b. Solve 3*m - 2*m - 2*u = a, 5*m - u = 21 for m.
4
Let d = 3 - -25. Let p be -1*4 - (-3 - -22). Let x = p + d. Solve 2*z + c + 2 = -3, x = 5*z - c for z.
0
Let z = -24 + 67. Suppose 5*a - 2*a = 4*d - z, -5 = 5*a. Let k be 11/5 + d/(-50). Solve 24 = 4*o - 4*t, 6*o = o - 3*t - k for o.
2
Suppose -4 = 4*b, -11*v + 13*v = -b + 3. Solve -j + 6*j = v*u + 12, 4*j + 2*u - 24 = 0 for j.
4
Suppose 80 = -d + 5*d. Let v be (10 - (-492)/(-48))/(1/(-20)). Solve 2*g + 13 = -2*j + 5, 0 = v*j - g + d for j.
-4
Let g(z) = z**2 - 9*z + 11. Let u be (-162)/(-21) + (-4)/(-14). Let s be g(u). Let n be 830/4233*(-969)/(-38). Solve -n*r = j + 21, 2*j + r - s = -0*j for j.
4
Let n be 0 - (26/8)/1*-4. Let j(m) = -4*m + 1. Let t be j(-1). Solve -5*p = -t*f - 20, -f - n = -5*p - 1 for p.
2
Let k = 7464 - 7460. Solve 2*y - 6*y - 8 = 0, k*y = -s - 6 for s.
2
Let b(p) = 7*p**2 + p. Let y be (-7 - -7) + -2 + 1. Let i be b(y). Suppose -i*k + k = -10. Solve 2*t = 4*r, -k*t = -3*r - 2*r + 2 for r.
2
Let t = -108 - 23. Let b = t + 168. Solve 4*j - 11 = -3*y, -4*y + 0*y + 5*j = b for y.
-3
Suppose 3*k = -2*k + 5*n + 1920, -4*k + 1500 = 5*n. Let z = -376 + k. Solve 5*c + z*t + 2 = -2, 3*t + 4 = -4*c for c.
-4
Suppose 106*d - 388 = 6*d + 3*d. Suppose 4*s + 0*t + 5*t = 17, 2*s + 4*t - 4 = 0. Suppose -3*q + q = -s. Solve -5*v = -3*r + 5 - 2, -q*r + d*v = 4 for r.
-4
Let p be (243/18 - 11)*6. Solve 2*l + 21 = 5*x, 11*x + 2*l = p*x - 18 for x.
3
Let c(p) = p**3 - 7*p**2 - 17*p - 8. Let i be c(9). Suppose 9 = m + i. Solve -m = -2*s - 4*r, 4*s - 3 = -4*r + 9 for s.
2
Suppose -h + 5*m = -0*m - 11, 22 = 2*h - 4*m. Let o = h - 6. Suppose 5*y + t = 31, 2*t = -o*y - 6 + 33. Solve -n - 3 - y = l, 2*n + 5 = l for n.
-5
Let y = 1 + 4. Suppose -4*j + 3*p = j - 18, -j - p + 2 = 0. Solve 0 = -4*g - 3*b + j, 0 = -y*g + 5*b - 5 for g.
0
Suppose -57*f + 66*f + 270 = 0. Let j be 2/(-6) + (-160)/f. Solve -5*r + j*w - 45 = 0, 2*w = 7*w - 25 for r.
-4
Let d = 2 - 0. Let t(j) = 14*j + 536. Let l be t(-38). Solve 8 = -d*x, -x - x = 4*s - l for s.
3
Suppose 2*t + 6 = 2*j, -4*j + 8 = 5*t - 10*t. Solve 2*h + 5*g = -7, -16*h + t*g = -11*h + 1 for h.
-1
Suppose 2*r = 2*c + 44, -5*r - 33*c = -37*c - 103. Suppose 0 = 5*g - 3 - 7. Solve -m - 4*w = -0*w - r, -g*m + 6 = 2*w for m.
-1
Suppose 4*g - 5*x - 11 = -7, -3*x = 4*g - 36. Let t(j) = 2*j**2 - 10*j - 10. Let d be t(g). Solve -2 - 9 = -3*l + d*i, -3*i = l + 11 for l.
1
Suppose 5*t + 14 = -11, -4*u - 4*t - 20 = 0. Solve 4 = d + 2*b, u = 5*d + 5*b + 2 - 7 for d.
-2
Let v be -4 + 2 + 2 + 5. Let j(y) = -y**2 - 4*y + 49. Let g be j(v). Solve -3*m = -0*u - u + 14, -u - 14 = g*m for m.
-4
Let z(w) = 2*w**3 + 39*w**2 + 50*w - 57. Let f be z(-18). Solve 4*q + 20 = 0, 38*q = -4*m + 35*q - f for m.
0
Suppose 0 = -4*a - a - 20. Let n be (a/(-14))/((-8)/(-56)). Suppose -4*i + 5*r + 59 = 0, i = -0*i - n*r + 31. Solve -5 = -5*w, 4*t + 0*w = -w + i for t.
5
Let v(t) = 51*t + 770. Let i be v(-15). Solve 0 = i*p, 3*p = -2*j - 18 + 8 for j.
-5
Let x(v) = -v + 37. Let s be x(22). Solve 0 = -2*f - t + 5, 3*t = -5*f - s + 27 for f.
3
Let n(b) = -4*b**2 + 2*b + 1. Let p be n(1). Let s be (3/(-9) - p) + 4/3. Solve s*x = -3*m - 2*x + 11, -4*m - 17 = -x for m.
-3
Let q = 1174 + -1172. Let n(j) = j - 4. Let v be n(7). Let r = 78 - 71. Solve -5*f + r = q*x - 12, -v*f + 3 = -3*x for x.
2
Let f(k) = -17 + 2*k - k + 4*k - 12. Let t be f(9). Suppose 12 = 4*b + t, -23 = -2*v - b. Solve m - s - 3*s + 4 = 0, 2*s + v = 4*m for m.
4
Let i be 5/3 + 156/117. Solve -2*t = -2*j + 2, -3*t - i*j + 4*j = 9 for t.
-4
Suppose -5*w = -p + 17, 0*p - 2*p - 5 = 3*w. Let i be (-1)/((-19)/4 - -5). Let a be 10/i*(-8)/10. Solve 5*s - 3*g + a*g = -5, 3*g = 2*s + p for s.
-1
Let b = 596 - 509. Let w = -78 + b. Solve -5*l + w = 3*o - 2*l, 0 = o + 4*l for o.
4
Let m = 10484 - 10461. Solve u - 18 = -4*r, 2*u = -m*r + 27*r - 12 for u.
2
Suppose 3*h + 3*g - 30 = 0, 2*g + 2*g - 49 = -5*h. Suppose 0 = 2*k - 19 + h. Solve 0 = -5*c - 15, k*i - 4*c = 6 + 26 for i.
4
Let o = -4253 + 4257. Solve -z = o*s - 6, -2*s - 9*z = -8*z - 2 for s.
2
Let k(u) = 4*u**2 - 46*u - 1. Let p be k(12). Let q = 23 - p. Solve 0 = 3*h - c - 1, -3*h - c - 7 = -q*c for h.
-1
Let o(r) = 15*r**2 + 19*r - 18. Let x be o(1). Solve a - 4 = -2*q, q - 2*q - x = 5*a for a.
-4
Let p(l) = -2155*l + 8625. Let t be p(4). Solve 2*s - c + 0 - 2 = 0, -2*s + t*c = -18 for s.
-1
Suppose 101*p - 6064 + 576 = -291*p. Let h = -3 + 5. Solve -h*m + 8 = -3*s - 13, p = -s + 3*m for s.
-5
Let k(g) = -g**3 + 5*g**2 - 2*g + 4. Let u be k(4). Suppose -5*s + 36
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of v?
True
Let z(v) be the second derivative of -v**4/12 + 3*v**3/2 - 5*v**2 - 2*v. Is z(6) a multiple of 3?
False
Let v = -46 + 22. Let g = v + 41. Let w = 33 - g. Is 8 a factor of w?
True
Let h(i) = -143*i**3 - 3*i**2 - i + 4. Let u(g) = -g**3 - g**2 + 1. Let l(s) = -h(s) + 3*u(s). Is l(1) a multiple of 14?
True
Let l(k) = 4*k**2 + k + 13. Does 9 divide l(-7)?
False
Suppose -2*t + 3528 = -1072. Is 20 a factor of t?
True
Suppose 7 = k + 4. Suppose 4*n + k*z - 10 = 0, -n - 4*n = z - 18. Suppose x = -n*s - 3 + 103, -5*x = 5*s - 140. Does 8 divide s?
True
Let j(r) = 2*r**2 - 13*r - 1. Let s(m) = 5*m**2 - 38*m - 3. Let t(b) = 11*j(b) - 4*s(b). Does 9 divide t(-7)?
True
Suppose -103 = -7*k - 12. Let d(g) = -g**3 + 12*g**2 + 21*g - 32. Does 9 divide d(k)?
True
Let k(g) = 2*g - 1. Let m be k(3). Suppose 0 = l - 0*l - 3*s + 27, -77 = 3*l - m*s. Let h = l - -44. Is h a multiple of 20?
True
Let g = -40 + 42. Suppose -g*i + 5*m = -28 - 25, 3*i = -2*m + 32. Is i a multiple of 8?
False
Suppose 6969 = 2*p - z, -17415 = -5*p + 45*z - 50*z. Is p a multiple of 13?
True
Is 2 - ((-6488)/23 + (-8)/(-92)) a multiple of 6?
False
Let j(h) = -5*h + 2844. Let b be j(0). Is b/(-24)*2/(-3) a multiple of 12?
False
Let v = -14 + 16. Suppose 5*n + 4*a = 106, -v*n + n - 5*a + 17 = 0. Is 9 a factor of n?
False
Let u(f) = -2*f**3 - 8*f**2 + 3*f - 2 + 3*f**3 + 3. Let r(p) = 4*p - 11. Let s be r(5). Is u(s) a multiple of 22?
False
Let g = 23 - 14. Let t = g - -42. Is 17 a factor of t?
True
Let r be (-22)/(-99)*18/2. Suppose 3*y - 112 = -r*m + 29, -m + 63 = 4*y. Is m a multiple of 15?
True
Let t(c) = -c**2 - 7*c - 3. Let u be t(-9). Let f be (u/(-6) - 3)*10. Suppose f*p = -1 + 31. Is p a multiple of 3?
True
Suppose 0 = 40*t - 14*t - 9360. Does 36 divide t?
True
Suppose -167 = -4*n + 57. Let o = 84 - n. Does 7 divide o?
True
Let i(t) = 2*t**2 + 10*t - 3. Let f be i(-7). Let h = -22 + f. Suppose 5*x = -h*o + 65 + 116, -2*o + 39 = x. Does 10 divide x?
False
Suppose 2*r - 20 = -3*r. Suppose -4*a + r*b - 2*b + 96 = 0, -4*a + 84 = b. Does 7 divide a?
False
Suppose -2*i + 3*i = 2*t - 2, 2*t - 10 = -i. Suppose t*w - 2247 = -5*q, 3*w - 1347 = -3*q - 0*w. Suppose q = 4*n + 2*n. Is n a multiple of 15?
True
Let q = -41 - -41. Suppose 750 = 4*s - 3*t, -3*s + t + 310 + 255 = q. Suppose p = 4*p - s. Is 21 a factor of p?
True
Let h = -23 + 25. Let x be 4/2 - (-30 + h). Suppose 0 = 5*o - 90 - x. Is 8 a factor of o?
True
Let t = 210 - 36. Does 15 divide 2 + t + (4 + 1 - 4)?
False
Let g(j) = j**2 - j + 53. Let y be g(0). Let s = 61 + y. Suppose -5*m + 35 = -k + s, 2*m - 316 = -4*k. Does 15 divide k?
False
Suppose 3*h - 364 - 230 = 0. Does 33 divide h?
True
Let y(f) be the first derivative of -f**3/3 + 25*f**2/2 + 34*f + 22. Is 20 a factor of y(18)?
True
Let l(v) = 417*v + 1. Let n be l(1). Suppose 7*k + 17*k = -17*k. Suppose -3*m - 145 + n = k. Is m a multiple of 25?
False
Let n(u) = -5*u - 46. Let j be (-132)/(-18)*-1*6/4. Does 3 divide n(j)?
True
Let f = -6 + 4. Let k be 140/8 - f/4. Is 6 a factor of 0 + -1 + k - 3?
False
Is 68 a factor of 182/(((-1)/11)/((-1)/2))?
False
Let i(b) = -b - 6. Let o be i(-2). Is 10 a factor of ((-10)/o + -2)/((-4)/(-144))?
False
Suppose -7*u + 12*u = -260. Does 3 divide (-304)/u + (-2)/(-13)?
True
Let w be 0 - (0 - 0) - 57. Let y = w - -69. Is y a multiple of 5?
False
Let s be 0/(-4*(-5)/(-10)). Suppose 2*j + j = s. Suppose j = 6*h - 43 - 461. Does 19 divide h?
False
Is 10 a factor of (3 + 2)/5*30/3?
True
Suppose 0 = 24*c - 16*c - 16. Suppose 420 = c*j - 120. Does 18 divide j?
True
Let u(q) = -5*q + 19. Let l = 8 - 14. Is u(l) a multiple of 9?
False
Let f = 35 + 176. Is f a multiple of 19?
False
Suppose 0 = 9*l - 6*l - 309. Let o = -93 + l. Is 2 a factor of o?
True
Let g(q) = -q**3 + 11*q**2 - 6*q - 22. Let x = -14 - -23. Is 25 a factor of g(x)?
False
Let g be (-31 + 13)/((-4)/(-6)). Let t = g - -29. Suppose 3*p - t*f = -p + 246, -5*f - 202 = -3*p. Is 12 a factor of p?
False
Suppose -7*q = -4*q - 1536. Is 8 a factor of (2/4)/(16/q)?
True
Suppose -127 = -5*b + d, -129 = -5*b + d + d. Let q = b - -50. Is q a multiple of 19?
False
Let p = -7 - -5. Let m be ((-276)/(-9))/(p/(-6)). Let u = m - 33. Is u a multiple of 20?
False
Let f be ((-4)/(-3))/((-6)/(-27)). Let v(u) = u**2 - 5*u + 4. Let x be v(5). Suppose f*k - 8 = x*k. Is k a multiple of 2?
True
Let u = 207 - -286. Is 29 a factor of u?
True
Let t(x) = -29*x - 49. Is 2 a factor of t(-2)?
False
Suppose 8 = 7*p - 3*p. Suppose -o - p*n + 74 = 0, -o - 4*n + 83 = -5*n. Is o a multiple of 8?
True
Let v(m) = 651*m**2 + 13*m - 1. Is 52 a factor of v(1)?
False
Let v be -10 - (-4 - (0 - 0)). Let x = v + 19. Is x a multiple of 13?
True
Suppose 0 = -3*n + l + 221, 95 = 4*n - 3*l - 208. Does 3 divide n?
True
Let k = 218 + -113. Is 3 a factor of k?
True
Suppose 4*t - g = 6069, -27 = -2*g - 37. Is 18 a factor of t?
False
Suppose -2*s + 2*u + 0*u + 44 = 0, 5*s - 110 = 4*u. Does 9 divide s?
False
Suppose -63954 = 24*p - 46*p. Does 14 divide p?
False
Let k = 49 + -19. Does 3 divide k?
True
Let s(d) = -6*d. Let t be s(-1). Suppose -4*r = t*r - 180. Is 14 a factor of r?
False
Suppose 4 = -4*z - k + 16, 0 = 2*z - 2*k - 16. Suppose z*m = 33 + 123. Is m a multiple of 13?
True
Suppose 0 = 4*i - 2*m - 136934, 2*m = -0*i + 5*i - 171170. Let j be 8/(-28) - i/(-21). Does 12 divide j/40 + (-2)/(-8)?
False
Suppose 51 - 152 = -v. Is v a multiple of 4?
False
Suppose 68 = 3*c - 3*s - 469, -12 = -4*s. Is 26 a factor of c?
True
Let y(g) = 2*g. Let c be y(-1). Is 15 a factor of c/6 - (-2541)/63?
False
Is 11 a factor of (14/7)/((-6)/(-2169)) - -3?
True
Let l(x) = 638*x**2 - 12*x + 2. Is 92 a factor of l(2)?
False
Let c be 165/9 + 3/(-9). Let a = 20 - c. Suppose t = -h + 14, 3*t = a*h + 2*h + 49. Is t a multiple of 6?
False
Let f(n) = n**3 - 5*n**2 + 3*n. Let l be f(4). Let a(y) = 1. Let o(c) = c**3 + 5*c**2 - 3*c + 8. Let z(i) = -6*a(i) + o(i). Is z(l) a multiple of 9?
False
Let a = -59 + 329. Is a a multiple of 45?
True
Let c(d) = 4*d + 8. Let f(k) = 2*k**3 + 9*k**2 - 6*k - 3. Let j be f(-5). Is c(j) a multiple of 8?
True
Let t(n) be the second derivative of n**3/6 - 2*n**2 + 2*n. Let w be t(7). Suppose b = -2*y + 43, -y + 16 = w*b - 108. Is 16 a factor of b?
False
Let f(q) = -6*q**3 + 14*q**2 - 1. Let v(c) = -c**3 + c**2 + 1. Let o(s) = -f(s) + 4*v(s). Let t be o(5). Suppose t*w + 274 = 7*w. Is 30 a factor of w?
False
Let y(k) be the third derivative of 19*k**5/30 + k**4/6 + k**3/3 + 13*k**2. Does 49 divide y(-2)?
False
Suppose -442*o + 447*o - 2120 = 0. Is 8 a factor of o?
True
Suppose 4*b = 18 + 2, -5*b + 181 = 3*y. Let x = y + -17. Does 5 divide x?
True
Let p(i) = -i**2 - 10*i - 6. Let b be p(-7). Suppose 4*o + 0*o - n = b, -4*n = -2*o + 4. Suppose 4*d = -2*q - 2 + 10, 3*d + 2*q = o. Does 2 divide d?
True
Suppose -z - 3*f = -606, 4*z = 3*z + 5*f + 582. Is 17 a factor of 4/(-14) + z/(-28)*-4?
True
Let z(b) = -114*b + 27. Is 40 a factor of z(-3)?
False
Does 8 divide ((-49)/3 - -9)/((-3)/207)?
False
Does 3 divide ((-9)/(-6))/((-6)/(-460))?
False
Let q be 1/(((-12)/(-9))/4). Let g be ((-315)/20)/(q/12). Let y = 130 + g. Does 14 divide y?
False
Let c(v) = -v**2 + v + 2. Suppose 2*t = -3*f + 11 + 9, -5*f - 2*t + 32 = 0. Let q be c(f). Let m = 79 + q. Does 21 divide m?
False
Suppose -v - 1099 - 1548 = -2*k, -15 = 5*v. Is k a multiple of 15?
False
Suppose -30 = q - 29, 2*b + 2*q - 772 = 0. Does 9 divide b?
True
Let p(d) = -d**3 - 14*d**2 - 6*d - 28. Let j(b) = b**3 + 5*b**2 - 7*b - 20. Let y be j(-6). Does 11 divide p(y)?
False
Let n(d) = 1. Let z(i) = -2*i + 11. Let t(p) = -5*n(p) + z(p). Let w(y) = y. Let f(h) = t(h) - 3*w(h). Does 7 divide f(-3)?
True
Suppose -2*v + 8 + 2 = 0. Suppose 2*s - 59 = -o - 0*s, -o + 24 = -v*s. Is 7 a factor of o?
True
Suppose 92*u = 98*u - 192. Does 16 divide u?
True
Let l(x) = -x. Let g(v) be the third derivative of 3*v**4/8 - v**3/6 + 4*v**2. Let r(n) = g(n) + 4*l(n). Does 2 divide r(1)?
True
Let l = 110 - 60. Is 5 a factor of l?
True
Let g be (-116)/2 - (3 - 2). Let m = g + 115. Is m a multiple of 14?
True
Suppose -8*s - 35 = -13*s. Suppose s*l = -14 + 462. Is l a multiple of 4?
True
Suppose 19*j - 25*j + 174 = 0. Does 3 divide j?
False
Suppose 0 = f + 13 - 16. Suppose -c = 2*c - 9, -f*c = z - 13. Suppose -2*n +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 113*c**2 - 26*c**2 - 32*c**2 - 27*c**2.
c**2
Collect the terms in 7*q + q - 4*q**2 + 2*q + 258.
-4*q**2 + 10*q + 258
Collect the terms in -60*v**3 - 60*v**3 - 59*v**3 - 133*v**3 + 363*v**3 - 57*v**3.
-6*v**3
Collect the terms in 25 - 31 + 2*b + 46 + 26 + 60.
2*b + 126
Collect the terms in -7*d - 2*d - 8*d + 16*d + 32 - d.
-2*d + 32
Collect the terms in 255*j**2 - 151*j**2 + 249*j**2 + 19*j**2.
372*j**2
Collect the terms in -1042*v**2 - 1083*v**2 - 1089*v**2 + 3292*v**2.
78*v**2
Collect the terms in 34*a**3 - 56*a**2 - 18*a**3 + 38*a**2 - 20*a**3 + 18*a**2.
-4*a**3
Collect the terms in 72 + 44*k**2 - 72 + 92*k**2 - 14*k**2.
122*k**2
Collect the terms in 316*a + 22*a + 75*a.
413*a
Collect the terms in -2054*r + 4 - 2 - 2.
-2054*r
Collect the terms in 6151*n**2 - 12234*n**2 + 6176*n**2.
93*n**2
Collect the terms in -98*q + 637 + 114*q - 637.
16*q
Collect the terms in 53*b + 860*b - 51*b**2 - 913*b.
-51*b**2
Collect the terms in 334*q - 140*q + 34 - 34 + 166*q.
360*q
Collect the terms in 12*r + 3*r + 6 + 41*r.
56*r + 6
Collect the terms in -2*g**2 - 20*g + 8 - 31*g + 0*g**2 - 30.
-2*g**2 - 51*g - 22
Collect the terms in -2004*v - 1869*v + 3703*v.
-170*v
Collect the terms in 68*k**3 - 167*k**2 + 54*k**3 + 80*k**3 + 167*k**2 - 3*k.
202*k**3 - 3*k
Collect the terms in -22058 + 3*v + 11448 + 10610.
3*v
Collect the terms in 11 + 36*r + 10 - 34*r - 22 + 7.
2*r + 6
Collect the terms in 109*k - 261*k - 125*k - 392*k - 117*k.
-786*k
Collect the terms in -32479*c**3 + 65031*c**3 - 32457*c**3.
95*c**3
Collect the terms in -13949*h - 6868*h - 7236*h + 958*h.
-27095*h
Collect the terms in 161*i**2 - 363*i**2 + 305*i**2.
103*i**2
Collect the terms in -45*p - 17 + 14*p - 12 + 20 - 11*p.
-42*p - 9
Collect the terms in 235*y + 149*y + 251*y.
635*y
Collect the terms in -2941*q**2 + 5833*q**2 - 2881*q**2 + 2 - 1.
11*q**2 + 1
Collect the terms in 4*k**3 + 29723*k - 29723*k + 3 + 60*k**3.
64*k**3 + 3
Collect the terms in 46091*r**3 + 46115*r**3 - 92230*r**3.
-24*r**3
Collect the terms in -209*c - 2 + 114*c + 2 + 89*c.
-6*c
Collect the terms in -59*u + 3*u**2 - 301*u + u.
3*u**2 - 359*u
Collect the terms in 12*p**2 + 46773 - 46773.
12*p**2
Collect the terms in 904 + 20*k**2 - 1855 + 951.
20*k**2
Collect the terms in -281*r**3 - 8*r**3 - 5*r**2 + 5*r**2 - 109*r**3.
-398*r**3
Collect the terms in -4*s + 2*s + 23 - 4*s + 54 + 5*s.
-s + 77
Collect the terms in 1002*k**2 + 10*k + 1003*k**2 - 2011*k**2 - 10*k.
-6*k**2
Collect the terms in -x**2 + 26149 - 26149.
-x**2
Collect the terms in -368*s**2 - 362*s**2 + 1097*s**2 - 358*s**2.
9*s**2
Collect the terms in 9*p**3 - 173*p - 6*p**3 + 0*p**3 + 25*p.
3*p**3 - 148*p
Collect the terms in 108*f**3 - 17846*f**2 + 17846*f**2 - 97*f**3.
11*f**3
Collect the terms in 18 - 7*p - 9 - 6*p**2 + p + 6*p.
-6*p**2 + 9
Collect the terms in -8162*o - 9031*o - 8561*o.
-25754*o
Collect the terms in x - 14*x**2 + 21*x**2 + 54*x.
7*x**2 + 55*x
Collect the terms in -244*m**2 - 317*m**2 + 679*m**2.
118*m**2
Collect the terms in 306*m**2 - 88*m**2 - 614*m**2.
-396*m**2
Collect the terms in 57*j + 0 - 57*j + 17*j**3 - 2.
17*j**3 - 2
Collect the terms in 24*b - 82*b - 56*b.
-114*b
Collect the terms in -2 + w - w + 260*w**2 + 26*w**2.
286*w**2 - 2
Collect the terms in 0*m**2 + 51 + 35*m + 2*m**2 - 54 + m**2 - 9*m.
3*m**2 + 26*m - 3
Collect the terms in 4*f**2 - f**3 + 19*f**2 - 24*f**2.
-f**3 - f**2
Collect the terms in -38*h**3 + 114*h**3 + 1 - 60*h**3 - 54*h**3.
-38*h**3 + 1
Collect the terms in 651*r + 1555*r - 600*r.
1606*r
Collect the terms in -89 + 194 + 6*s - 109.
6*s - 4
Collect the terms in -725*t**2 - 2164*t**3 + 725*t**2 - 2269*t**3.
-4433*t**3
Collect the terms in 108206*m**2 - 216250*m**2 + 108144*m**2.
100*m**2
Collect the terms in -10*p**3 + 135*p**2 + 6*p**3 - 7*p**3 - 135*p**2.
-11*p**3
Collect the terms in 1130*f**2 + 222*f**2 + 607*f**2.
1959*f**2
Collect the terms in -251*y**2 - 11306 + 11306.
-251*y**2
Collect the terms in 48*t**2 - t - 2*t + 2*t - 176*t**2.
-128*t**2 - t
Collect the terms in -2322*j + 3740*j + 5057*j - 92*j.
6383*j
Collect the terms in 25 - 56*q - 85*q + 40*q.
-101*q + 25
Collect the terms in 1884 - 1884 - 12*a + 0*a.
-12*a
Collect the terms in -183*v**2 - 191 + 381 - 192.
-183*v**2 - 2
Collect the terms in -37 + 49 + 12*b - 17*b + 6*b.
b + 12
Collect the terms in 781*o**3 + 26*o**2 - 93*o**2 - 807*o**3 + 36*o**2 + 31*o**2.
-26*o**3
Collect the terms in 3 + 2*b + 49 + 78 + 37 - 36.
2*b + 131
Collect the terms in -j**3 - 12628874*j + 25257746*j - 12628872*j + 5*j**3.
4*j**3
Collect the terms in 4*f + 0*f - 6*f + 15*f - 8*f - 4*f.
f
Collect the terms in 4 - 4 - 7*o**2 + 18*o**2 + 9*o**2.
20*o**2
Collect the terms in 11*a - 133 + 117 + 6*a - 19*a.
-2*a - 16
Collect the terms in -34826*c**2 - 70260*c**2 - 31526*c**2 - 36763*c**2.
-173375*c**2
Collect the terms in -15*d - 10*d + 3*d - d + 20*d.
-3*d
Collect the terms in -112*m + 270*m - 122*m.
36*m
Collect the terms in -7*r**3 - 8*r**3 + 34*r**3 - 22*r**3.
-3*r**3
Collect the terms in 4272*u**3 + 28*u - 28*u + 403*u**3.
4675*u**3
Collect the terms in 0*y**2 - 153*y**3 - 515*y**3 + 7*y**2.
-668*y**3 + 7*y**2
Collect the terms in 2518*o - 3 - 2490*o + 3 + 0.
28*o
Collect the terms in 402 + 305 - 1119 + y + 412.
y
Collect the terms in 143*d + 13 - 13 - 138*d.
5*d
Collect the terms in -2*y - 4*y - 15*y**3 + 40*y**3.
25*y**3 - 6*y
Collect the terms in 6 + 277206*x - 6 + 2*x**2.
2*x**2 + 277206*x
Collect the terms in 74*j**3 + 82*j**3 + 112*j**3 - 275*j**3.
-7*j**3
Collect the terms in -26552*g**2 - 32*g**3 + 26552*g**2.
-32*g**3
Collect the terms in -326*r**2 + 306*r**2 + 968*r**2.
948*r**2
Collect the terms in -53986*z**3 + 27622*z**3 + 27121*z**3.
757*z**3
Collect the terms in -6*b**3 + 8*b**3 + 14*b**3 + 15*b**3 + 18*b**3 - 46*b**3.
3*b**3
Collect the terms in 1031899021*x**2 + 2*x**3 - 1031899021*x**2.
2*x**3
Collect the terms in -140 + 138 - 142 - q + 144.
-q
Collect the terms in -5*z**2 - 143*z + 65*z + 74*z.
-5*z**2 - 4*z
Collect the terms in 37098*v - 37098*v - 198*v**2.
-198*v**2
Collect the terms in 4*x - 2*x + 2489271 - 2489271.
2*x
Collect the terms in -266 + 705641*h + 113 - 705640*h + 153.
h
Collect the terms in 9 - 1 - 8 - 2545*k**3.
-2545*k**3
Collect the terms in 962*p - 3844*p + 963*p + 962*p + 962*p.
5*p
Collect the terms in 302*v**2 - 4*v - 5*v + 9*v - 297*v**2.
5*v**2
Collect the terms in -8*a + 1 + 10*a**2 + 21*a - 121*a**2 + 1.
-111*a**2 + 13*a + 2
Collect the terms in 405*v - 847*v + 396*v.
-46*v
Collect the terms in 22*s**2 - s**2 - 18*s**2 - 5*s**2.
-2*s**2
Collect the terms in -260*i + 43*i**3 - 298*i + 560*i + 42*i**3.
85*i**3 + 2*i
Collect the terms in -6508*l**2 + 6508*l**2 + 11*l**3 - 9*l**3 + 0*l**3.
2*l**3
Collect the terms in -115*d - 117*d - 108*d + 360*d + 5.
20*d + 5
Collect the terms in 332*f**2 - 254*f**2 + 394*f**2.
472*f**2
Collect the terms in 980*r - 1222*r**2 - 980*r.
-1222*r**2
Collect the terms in -3*t + 29*t - 1833 + 10*t + 1833.
36*t
Collect the terms in -1428 + 4*i + 4*i + 6*i + 1430 + 0*i.
14*i + 2
Collect the terms in 306*c**2 + 2 - 926*c**2 - 2 + 306*c**2 + 323*c**2.
9*c**2
Collect the terms in 23 + 2*g + 21 - 52 + 30.
2*g + 22
Collect the terms in -799473*c + 2398411*c - 799470*c - 799466*c.
2*c
Collect the terms in -17 - 20 + 11*n + 10*n - 8*n.
13*n - 37
Collect the terms in 2*i**2 - 12*i - 5*i**2 - i + 17*i**3 + 13*i.
17*i**3 - 3*i**2
Collect the terms in -9 - 444*a**3 + 9 + 2*a.
-444*a**3 + 2*a
Collect the terms in -131 - 50 + l**2 + 181.
l**2
Collect the terms in -8*o**3 - 3*o**3 - 1155 + 1155 - 5*o**2.
-11*o**3 - 5*o**2
Collect the terms in -5*t + 2*t + 25 + 11*t + 2*t.
10*t + 25
Collect the terms in -19 - 23 - 9*p + 42.
-9*p
Collect the terms in 367576 - 367576 + x + 0*x - 2*x.
-x
Collect the terms in 2*g**2 + 778*g - 789 - 778*g.
2*g**2 - 789
Collect the terms in 207*b**3 - 187*b**3 - 14*b**3.
6*b**3
Collect the terms in 19*s - 16*s + 4*s.
7*s
Collect the terms in -3271*d**2 + 1090*d**2 + 1090*d**2 + 1097*d**2.
6*d**2
Collect the terms in 142 + 5*v - 142 + 0*v - 14*v.
-9*v
Collect the terms in 208*q + 38*q - 246*q - 2*q**2.
-2*q**2
Collect the terms in -6 + 1 - 41*m + 27*m + m.
-13*m - 5
Collect the terms in 104*f - 315*f**2 + 328*f**2 + 5*f.
13*f**2 + 109*f
Collect the terms in f**2 + 13*f**2 + 9*f**2 - 26*
|
{
"pile_set_name": "DM Mathematics"
}
|
22?
1
What is the hundred thousands digit of 305270?
3
What is the tens digit of 201375?
7
What is the thousands digit of 3890194?
0
What is the hundred thousands digit of 268211?
2
What is the ten thousands digit of 1237117?
3
What is the millions digit of 1821540?
1
What is the units digit of 35322?
2
What is the hundred thousands digit of 812897?
8
What is the tens digit of 1040311?
1
What is the hundreds digit of 15655327?
3
What is the ten thousands digit of 6017117?
1
What is the hundreds digit of 145814?
8
What is the hundreds digit of 609225?
2
What is the thousands digit of 18402714?
2
What is the tens digit of 469971?
7
What is the thousands digit of 436555?
6
What is the ten thousands digit of 7753519?
5
What is the ten thousands digit of 15991388?
9
What is the tens digit of 1174696?
9
What is the hundred thousands digit of 4697432?
6
What is the hundreds digit of 2943441?
4
What is the hundred thousands digit of 1410303?
4
What is the hundred thousands digit of 3385414?
3
What is the ten thousands digit of 32860?
3
What is the thousands digit of 10960?
0
What is the hundreds digit of 613390?
3
What is the units digit of 2321862?
2
What is the thousands digit of 553131?
3
What is the tens digit of 207634?
3
What is the units digit of 5837147?
7
What is the thousands digit of 491041?
1
What is the units digit of 7295555?
5
What is the millions digit of 8764795?
8
What is the thousands digit of 550284?
0
What is the ten thousands digit of 3319319?
1
What is the hundreds digit of 8775311?
3
What is the thousands digit of 1173157?
3
What is the hundreds digit of 23935950?
9
What is the hundred thousands digit of 913340?
9
What is the hundreds digit of 72707?
7
What is the ten thousands digit of 724863?
2
What is the millions digit of 8701488?
8
What is the tens digit of 506334?
3
What is the units digit of 1717612?
2
What is the units digit of 2087863?
3
What is the hundred thousands digit of 12535482?
5
What is the ten thousands digit of 2177562?
7
What is the units digit of 8002976?
6
What is the tens digit of 702890?
9
What is the tens digit of 558528?
2
What is the thousands digit of 1534491?
4
What is the tens digit of 265754?
5
What is the millions digit of 3095071?
3
What is the units digit of 97656?
6
What is the millions digit of 18144534?
8
What is the ten thousands digit of 1203792?
0
What is the millions digit of 2901659?
2
What is the thousands digit of 990727?
0
What is the tens digit of 720515?
1
What is the hundred thousands digit of 407406?
4
What is the tens digit of 886474?
7
What is the ten thousands digit of 474251?
7
What is the tens digit of 3935328?
2
What is the hundred thousands digit of 399392?
3
What is the units digit of 106441?
1
What is the thousands digit of 16117946?
7
What is the units digit of 2363540?
0
What is the hundreds digit of 680007?
0
What is the hundreds digit of 10133970?
9
What is the millions digit of 2374447?
2
What is the ten thousands digit of 8832041?
3
What is the hundreds digit of 10929284?
2
What is the hundreds digit of 8450220?
2
What is the millions digit of 4244203?
4
What is the tens digit of 280395?
9
What is the ten thousands digit of 463762?
6
What is the hundreds digit of 1503490?
4
What is the hundreds digit of 2327944?
9
What is the hundreds digit of 9250963?
9
What is the hundred thousands digit of 187373?
1
What is the hundreds digit of 6825494?
4
What is the hundred thousands digit of 12972782?
9
What is the hundred thousands digit of 7245314?
2
What is the hundred thousands digit of 399812?
3
What is the thousands digit of 2046227?
6
What is the hundred thousands digit of 139477?
1
What is the thousands digit of 488399?
8
What is the tens digit of 1030617?
1
What is the hundred thousands digit of 18699726?
6
What is the thousands digit of 4254786?
4
What is the hundred thousands digit of 295704?
2
What is the tens digit of 323661?
6
What is the units digit of 291227?
7
What is the ten thousands digit of 92668?
9
What is the thousands digit of 330057?
0
What is the hundreds digit of 1364116?
1
What is the millions digit of 5350898?
5
What is the thousands digit of 93954?
3
What is the tens digit of 462183?
8
What is the ten thousands digit of 13197531?
9
What is the millions digit of 2135304?
2
What is the tens digit of 93540?
4
What is the ten thousands digit of 11693605?
9
What is the ten thousands digit of 491332?
9
What is the hundred thousands digit of 264226?
2
What is the hundred thousands digit of 3744519?
7
What is the tens digit of 21314742?
4
What is the units digit of 20786326?
6
What is the hundred thousands digit of 366513?
3
What is the tens digit of 5471923?
2
What is the ten millions digit of 11172848?
1
What is the hundreds digit of 297178?
1
What is the hundreds digit of 26614113?
1
What is the hundred thousands digit of 452962?
4
What is the units digit of 23297?
7
What is the hundred thousands digit of 4700270?
7
What is the hundreds digit of 2740613?
6
What is the hundreds digit of 22371726?
7
What is the millions digit of 1836852?
1
What is the tens digit of 61699?
9
What is the thousands digit of 10030992?
0
What is the ten thousands digit of 484518?
8
What is the tens digit of 26037386?
8
What is the hundred thousands digit of 189676?
1
What is the tens digit of 564153?
5
What is the millions digit of 7604180?
7
What is the hundreds digit of 302455?
4
What is the hundred thousands digit of 751030?
7
What is the thousands digit of 330018?
0
What is the hundred thousands digit of 495338?
4
What is the units digit of 2571399?
9
What is the tens digit of 187526?
2
What is the tens digit of 805251?
5
What is the units digit of 479970?
0
What is the ten millions digit of 24229901?
2
What is the tens digit of 11265690?
9
What is the tens digit of 3212185?
8
What is the hundred thousands digit of 346362?
3
What is the ten thousands digit of 547419?
4
What is the units digit of 44029984?
4
What is the hundred thousands digit of 20387711?
3
What is the hundred thousands digit of 3507887?
5
What is the thousands digit of 3869156?
9
What is the hundred thousands digit of 3176144?
1
What is the units digit of 232174?
4
What is the tens digit of 1740172?
7
What is the thousands digit of 1388899?
8
What is the units digit of 1983068?
8
What is the units digit of 39558?
8
What is the hundred thousands digit of 1117591?
1
What is the hundreds digit of 15264370?
3
What is the thousands digit of 1940289?
0
What is the thousands digit of 837915?
7
What is the units digit of 630?
0
What is the hundreds digit of 1062804?
8
What is the units digit of 8241566?
6
What is the units digit of 231508?
8
What is the tens digit of 87847?
4
What is the hundreds digit of 16686115?
1
What is the millions digit of 6938745?
6
What is the hundreds digit of 24634?
6
What is the millions digit of 6590453?
6
What is the ten thousands digit of 186592?
8
What is the tens digit of 6604235?
3
What is the tens digit of 145164?
6
What is the hundreds digit of 1027146?
1
What is the units digit of 1758046?
6
What is the ten thousands digit of 587837?
8
What is the ten thousands digit of 536248?
3
What is the ten thousands digit of 1494212?
9
What is the ten thousands digit of 21893826?
9
What is the tens digit of 6068205?
0
What is the thousands digit of 217734?
7
What is the tens digit of 2237956?
5
What is the hundred thousands digit of 8027699?
0
What is the tens digit of 67362?
6
What is the hundred thousands digit of 5218339?
2
What is the tens digit of 2986794?
9
What is the ten thousands digit of 134626?
3
What is the tens digit of 5984795?
9
What is the thousands digit of 7165904?
5
What is the tens digit of 7287546?
4
What is the ten thousands digit of 3155394?
5
What is the thousands digit of 225676?
5
What is the thousands digit of 254894?
4
What is the tens digit of 69890?
9
What is the thousands digit of 1431911?
1
What is the thousands digit of 32449?
2
What is the ten thousands digit of 103989?
0
What is the hundreds digit of 1667566?
5
What is the tens digit of 8172437?
3
What is the millions digit of 7605464?
7
What is the tens digit of 5249448?
4
What is the hundreds digit of 686339?
3
What is the units digit of 63881?
1
What is the hundred thousands digit of 1558710
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0 for h.
4
Suppose 10 = 5*b, -5*l + 0*l - 5*b = 30. Let t be -4 + 18/4*l/(-6). Solve -2*c + 5*d - 13 = -33, t*d + 8 = -c for c.
0
Let b = 148692 + -148692. Suppose -1 - 3 = -4*y - 4*n, -3*n = -4*y + 25. Solve -3*x + b = h - 1, y*x - 4*h = 28 for x.
2
Let b(i) = i**3 - 16*i**2 - 10*i - 114. Let u be b(17). Solve 5 = -2*d + 5*a, -5*d - 9*a + u*a - 29 = 0 for d.
-5
Let z = -11 - -3. Let s be (-2)/z - (-6)/24*11. Suppose 6*f - p = 5*f + s, 0 = -4*p + 12. Solve 0 = 2*l + g - 3*g - f, 5*g = -l + 9 for l.
4
Let i = 34 - 23. Let m = -8 + i. Let c(j) = -10*j + 162. Let o be c(16). Solve -3*t - 3 = -3*p, -5 = 2*t + m*t + o*p for t.
-1
Suppose -2*p + 4*p - 4*o = 14, 3*p + 3*o = 12. Suppose -p*w + 2*i = -31, 0 = 3*w + i - 4*i - 15. Solve -3*b - 4*a = w, -2*a + 0*a - 1 = b for b.
-5
Let c = -140 + 149. Suppose k - 1 = d, 6*k - 4*d - 4 = c*k. Let f = 2 + 0. Solve 2*g - u + 17 = -g, g - f*u + 14 = k for g.
-4
Suppose 0 = -5*v + 2*a + 1387, -550 = 15*v - 17*v + 2*a. Let q = v - 274. Solve 0 = w + n, -5*w + 2*w - q*n = -6 for w.
-3
Suppose 1435 - 490 = 5*u. Let n be 6/16 - u/(-72). Solve -3*d - 2*d + 5*o = -10, -n*d - 4*o + 6 = 0 for d.
2
Let l = -5828 - -5832. Solve 20 = 5*w + 34*p - 31*p, -l*w + 5*p = -16 for w.
4
Let p(x) = x**2 - 5*x + 2. Let k be p(5). Let t = -25702 + 25707. Solve 0 = -2*m + 3*g + 4, 2*m - k*g = t*m - 6 for m.
2
Let z be -114 - -125 - 4*-1*1. Suppose 0 = -121*f + 126*f - z. Let v be 1/(9/4 + -2). Solve t - 3*t - v = -2*u, 5*u + f*t = -30 for u.
-3
Suppose 23 = -11*h + 133. Let t be h*7/((-105)/(-6)). Solve 5*p - 3*p - y = 5, p - t*y + 1 = 0 for p.
3
Suppose 4*r = k - 10, 3*r + 4 + 1 = 2*k. Let f be 6/k - -7 - (-12 + -1). Solve -2*z + 3*l + 27 = 3*z, z + 5*l = -f for z.
3
Suppose 4*z + 20 = 2*o, 0 = -5*o - 82*z + 79*z + 50. Solve 18 = -4*j + o, j = -3*s + 4 for s.
2
Let g be (17 - 17)/(4/(-2)). Suppose 5*s = -25, -3*p - s + g + 1 = 0. Solve -p*q = 3*w - 0*w - 23, -5*w = 4*q - 41 for q.
4
Let k be (585 + 2)/((-28)/28). Let o = 601 + k. Solve -5 - 4 = -3*d, -3*d = 5*t - o for t.
1
Let m be 36/8 - 27/(-72)*-4. Solve 41*i - 39*i = 0, m = t + i for t.
3
Let q be (-1)/((-36)/171)*4. Suppose 4*t = -35 + q, -8 = -n + t. Solve 5*j - 8 = -2*i + n*i, 20 = 5*j - 5*i for j.
0
Let b(h) = 32*h - 1. Let c = 3 + 1. Let j be b(c). Let f = -123 + j. Solve 2*i - f*o = -14, 7*o - 2*o = -i + 21 for i.
1
Let q = 6 + -7. Let s(r) = -3*r**3 - r**2 - r. Let k be s(q). Suppose 4*m = -2*a + 18, 40*a + 15 = 41*a + 4*m. Solve a*x = 0, -k*x = -2*u + 6*u - 8 for u.
2
Let i be 2*2*611/94. Suppose -4*y - y + 4*g = -31, -17 = -3*y + 2*g. Suppose y*r = r + i. Solve -25 = 5*p - 2*h, h - r = 3*p + 2 for p.
-5
Let y(w) = 24*w + 288. Let x be y(-12). Let z be (-30)/(2*(-3)/4). Suppose z = 4*q + 4*j, 2*j - 4 + 0 = x. Solve q = -i, 11 = -2*u - 2*i - 1 for u.
-3
Suppose -16 = -7*s - s. Suppose -118*t + 122*t = v + 17, 2*t = 10. Solve 15 = -s*h - 2*k - v*k, 5*k - 10 = 3*h for h.
-5
Let g be 1440/(-540)*(-1 - (-11)/(-4)). Suppose -g*t = 18*t - 26*t. Solve 2 = -m - 3*y, m - 5*m + 4*y - 8 = t for m.
-2
Suppose -141 = -l - 124. Let z = -14 + l. Solve 4*i + 7*h - 17 = 2*h, 4*i = z*h + 9 for i.
3
Let d(t) = -25*t + 2 - 5*t - 9*t**2 + t**2 + 4*t**2 - 10. Let f be d(-7). Solve -2*a - 2*p = -f, -22 = 2*a - 6*a + p for a.
5
Let f(h) = 4*h + 238. Let d be f(-36). Let j = -94 + d. Solve j = -4*k + 8, -2*t - 3*k + 8 = -4*k for t.
5
Let m = 4 - 1. Suppose 0 = -826*s + 820*s + 78. Let b be 4/14 + (393/21 - s). Solve 0 = -3*q, t + q = b*q - m for t.
-3
Let n be (6 + -10)/(6*(-9)/54). Solve -t = -n*c + 7, 41*c - 40*c - 2*t = 7 for c.
1
Let q be (2 + (-56)/12)/((-4)/(-6)). Let g(k) = 8*k + 34. Let n be g(q). Solve 2*c - 2*t + 8 = 2*t, -3*c + t = n for c.
0
Let l be (-1)/(-8) + 10563/(-24). Let u = 444 + l. Solve -2*s = 5*a + 18, 3*s = -a + u*s + 2 for a.
-2
Let f = 12452 + -12449. Solve s = -4*q - 16, -29 = 5*s + 6*q - f*q for s.
-4
Let r(s) = 5*s + 199. Let y be r(-37). Solve 4*v + y = h, 0 = -v + 3*h - 7*h - 12 for v.
-4
Let g(d) be the second derivative of 13*d**4/12 - d**3 - 2*d**2 - 30*d + 1. Let i be g(-1). Solve 3*t - i = 0, 3*t - 18 = -0*x + x for x.
-3
Let i be (-1 - 181)/(-13) + (-1 - -2 - -3). Solve -24 = -17*s + i*s - 5*o, 4*o = 16 for s.
-4
Let j = -3674 - -3698. Solve -g = 11 - 7, -4*x + j = -4*g for x.
2
Let f be (-324)/(-90) - 4/(-10) - (2 - 2). Solve 0 = p + 2*p + g - 1, -4*p + 12 = -f*g for p.
1
Let q be 112/3*(-33)/((-55)/(-5)). Let c be (1200/q - (-2)/(-7))/(-1). Solve -4*f = -3*t - c, -2*t - 5 = 3*t for f.
2
Let g be 1460/300 - 2/(-15). Suppose -3*o + 0*r = r - 19, -25 = -o - g*r. Solve -3*c - o*u - 10 = 0, 4*c + 0 = -2*u - 4 for c.
0
Suppose 0 = -0*b + 4*b - 5*m - 209, 2*b - 118 = -2*m. Let a be 3 + (0 - -3) + b/28. Solve -2*w + a = -3*w - 4*c, 0 = -4*w - c - 17 for w.
-4
Suppose -f + 3*g = 7, -3*g - 116 + 121 = -2*f. Solve 5*q = -f*z + 7*z, -2*q = -z - 2 for q.
2
Suppose -378*p + 62*p = -948. Solve 9 = 3*o - 3*m, 2 = -5*o + p*m + 19 for o.
4
Suppose 34*v + 142 - 448 = 0. Solve 8*o = -4*s + v*o + 8, -4*s - 12 = 4*o for s.
1
Let l(c) = c**3 - 10*c**2 + 21*c + 5. Let b be l(3). Solve -2*z = 11*k - 13*k + 6, 0 = 5*k - b for z.
-2
Let p(t) = -t**2 - 6 - 6 - 9*t + 0*t. Suppose -6472*s + 6452*s - 140 = 0. Let w be p(s). Solve 4*r + 2 = -3*v - 8, 0 = w*r - v for r.
-1
Let o = -15 + 11. Let v(x) = x**3 + 4*x**2 + 2*x + 2. Let r be v(o). Let z = 8 + r. Solve k - z*n = 3, 7 = k + 2*n - 0*n for k.
5
Let r(j) = -j**2 - 24*j - 10. Let u be r(-21). Let q = 66 - u. Solve -5*g = -x + 5 + q, -5*g - x = 22 for g.
-4
Let k be (0 + 12)*(-1)/(-1*(-5 + 8)). Suppose 5*s = w - 15, 3*s - s = 4*w - 6. Solve 4*r = 3*d - k*d - 5, w = r - d for r.
-1
Let k(t) = -t**3 + 11*t**2 - 16*t - 15. Let u be (-93)/(-9) + (-36)/27. Let x be k(u). Solve 3*a + x*y + 15 = 0, 3*y + 6 = y for a.
-2
Let t = 48805 + -48792. Let l be (2/3)/(4/24). Solve 0 = -3*y + 2*a - 0*a - t, 5*a - 29 = l*y for y.
-1
Let h = 15112 - 15099. Solve -3*m = -h*x + 11*x + 9, 3*m = -x - 18 for m.
-5
Let g(c) = c**3 - 9*c - 8. Let r be g(4). Suppose r*d = 21*d + 3, -5 = -5*f - 5*d. Solve -5*t - 4*s + 11 = 0, -t + 2*s + f = -1 for t.
3
Let b(i) = -237*i + 1662. Let l be b(7). Solve -3 = -4*v - 3*u, -5*u + 8*u = -l*v for v.
3
Let x = -17812 + 17822. Solve 0 = -2*z + 5*p + 10, 4*z + x*p - 12*p + 12 = 0 for z.
-5
Suppose -2*a - 2*a = a. Suppose a = -23*y + 13*y + 50. Solve -y*u - 5*j = -30, -11 - 7 = -4*u - j for u.
4
Let s = 232 - 235. Let i(f) = -2*f**3 - 8*f**2 - 8*f - 2. Let z be i(s). Solve 3*k = 4*g + g + 5, 3*g = -z*k - 3 for k.
0
Suppose -3*h = 5*l - 3 + 23, -h - 4*l - 9 = 0. Let y be (-368)/460 + (-1)/h*14. Let d be (0*(-2)/4)/(-2). Solve 4*k + 5 = -5*u, -y*u = -5*k - d*u - 31 for k.
-5
Suppose -3 = -i - 4*z, 2*i - 10 = 4*i + 4*z. Let k be (2 - 5) + (-5 - i). Let j(o) = 2*o - 66. Let d be j(33). Solve k*q + 0*q + 5*s = d, s = q - 8 for q.
4
Suppose -165 = -5*q - 70. Suppose q*b = 107 - 12. Solve -5*a - 11 = -4*w + 2*w, -a = b*w - 14 for a.
-1
Let p be (33/26 + 138/598)/(3/8). Solve 4*i + p = -z - 3, 0 = -i - 3 for z.
5
Let r be (-108)/1080 - (3669/10 + -1). Let f = r - -370. Solve 5*x - f*w = -6, 0 = -4*w + 16 for x.
2
Let s(x) = -x**3 - 4*x**2 - x + 2. Let j be s(-4). Let r(a) = a**2 - 1060*a + 7376. Let g be r(7). Solve 3*n - 6 = f - j*f, g*f - 21 = 2*n for n.
-3
Suppose 0 = -291*l + 293*l - 10. Let x be (0 - l/(15/12)) + 29. Solve 4*c - 3*p + 32 = 0, c - 7*p + 2*p = -x for c.
-5
Let s(v) = -v**2 + 15*v. Let n be s(15). Let f be (7 + -7)/((0 - -2) + n). Solve 3*j - 3*t = 2*j - 10, j + 2*t = f for j.
-4
Let o(b) = b**3 + 49*b**2 + 5. Let g(l) = -49*l**2 - 13*l + 13. Let v be g(1). Let p be o(v). Solve 5*d = -2*z - 10, 13*z - 10*z = -p*d - 5 for d.
-4
Suppose -5*a + 18 = -2. Let s be 735/98 - (-88)/(-16). Solve -r = a*r + s*f + 5, 4*f = -3*r - 3 for r.
-1
Suppose -b + 86 = 76. Suppose 4*r - 7 = x, -3*x - 2*r = -11 - b. Solve -4 = -3*v + 2*j, -x*j - 9 = -3*v + 10 for v.
-2
Suppose 4*l + 3*y - 18 = 0, 19*l - 17*l + 4*y - 4 = 0. Solve -5*x = -2*u - 7 + 22, 2*u + 4*x = l for u.
5
Let s be (15 + (-2140)/140)/(2/(-210)). Solve -3*u - u - 20 = 3*p, -5*u = 5*p + s for u.
-2
Suppose 9266*m - 9230*m = 542 + 358. Let k = 4 - 0. Solve 0 = -k*g + 3*t - m, -g - 2 + 1 = t for g.
-4
Suppose 5*g - 5*p = -30, 588*g + 57 = 592*g + 5*p. Solve -2*q - 10 =
|
{
"pile_set_name": "DM Mathematics"
}
|
r + 2020*k = 3*r + 2018*k + 236, -200 = -2*r - 2*k + 24 for r.
4
Solve -264*c + 267*c = -4*w - 55, 30 = -5*w + 4*c for w.
-10
Solve 0 = -3*v + h + 22, -2*h + 12 = 12*v + h - 9*h - 84 for v.
6
Solve 1342*k + 5010*w = 5015*w - 16069, 2*k = -w - 31 for k.
-12
Solve -2*l + 151 - 176 = -9*p, 2*p = 6*l for p.
3
Solve 0 = -r + 57*l - 31 + 24 - 109, 14 = -3*r + 4*l for r.
-2
Solve -163*p + 167*p - 5 = 3*s, -185 = -28*p - 9*s for p.
5
Solve -5*h = -s + 207, 443*s - 221*s = 221*s - 3*h + 5*h + 84 for s.
2
Solve -18*x + 23*x + 2*q = -105, 0 = 4*x + 6*q + 282 for x.
-3
Solve -7*n - 2*o - 56 = 52, -5*n = 5*o + 1068 - 973 for n.
-14
Solve 6812*q + 150 = 6807*q + 5*i, 8*q + 42 = 2*i for q.
3
Solve -2*l = 8*l - 4*s - 10, 12*s = 2*l - 2*s + 16*s - 30 for l.
5
Solve -15471*n + 15466*n = 5*t + 85, 0 = -5*t + 20*n + 365 for t.
1
Solve j + 5*u - 66 = 0, -663 = 3*j - 15*u - 711 for j.
41
Solve -5137181*x = -c - 5137186*x - 12, -5*c - 16*x = 33 for c.
3
Solve -19*u = -93*u + 2*g + 814, -35*u - 2*g = -31*u - 44 for u.
11
Solve 97 = -4*z + 28*t - 39*t, t - 55 = 2*z for z.
-27
Solve m - 1 = -8, 76*j - 143*j - 3*m - 29 = -75*j for j.
1
Solve 0 = r - 2 - 2, -26 = -3412*f + 3389*f + 5*r for f.
2
Solve 57*a - 60*a = 3*l - 9, 5*a - l + 3 = 0 for a.
0
Solve 20*n = -0*n + 4*l + 304, 55 = 4*n + 5*l for n.
15
Solve -18*u - 21*u - 3*k = -40*u - 11, u - k + 17 = 4*k for u.
-2
Solve 2*o + 0*o - 224 = 6*h, 0 = 3*h - 5*o + 43 + 49 for h.
-39
Solve -2*m = 5*f - 3*m + 105, 2*m - 1398 = -314*f + 378*f for f.
-22
Solve -1042*x + 1045*x + q - 3 = 0, 9*x - q - 18 = 5*x for x.
3
Solve -877*r - 76 = 8*t - 881*r, 4*t + 4*r = -0*t - t - 67 for t.
-11
Solve 6 = 2*s + 3*w, -32345*s + 4*w - 9 = -32348*s for s.
3
Solve g - 3 = -0*g, -p + 194*g - 196*g = -4 - 2 for p.
0
Solve -6*z - 18 = 2*q, 4*z - 577*q + 584*q + 0 = 5 for z.
-4
Solve 3*u + 14 = 99*c - 106*c, 3*c + 2*c - u = -0*c - 10 for c.
-2
Solve 7 = 4*n - 0*n - 2*u - u, 11*u + 7644 = -4*n + 7693 for n.
4
Solve -s + 18 + 8 = -5*i, -3*s + 32 = 2*i + 22 for i.
-4
Solve -r + 5*r + n - 101 = 0, -6*r = 5*n + 2518 - 2687 for r.
24
Solve 101*d - 9*r + 87 = 105*d, 8*d - 4*r + 68 = 0 for d.
-3
Solve 5*j - 2*b + 457 = 479, -37*j - 4*b - 44 = -3*j for j.
0
Solve -1176 = 147*z + 5*d, 3*z - 3*d = -15 - 9 for z.
-8
Solve -5*r + 22*r - 2*z = 12*r + 7*r - 26, 39*z = -2*r + 359 for r.
4
Solve 0 = -3*p - 2*r + 56, -29*r = 43009 - 43734 for p.
2
Solve -n + 23 = -5*y, -780*y = -2*n - 784*y - 10 for n.
3
Solve 26*a - 28*a - 474 + 158 = -4*z - 206, 5*z = -12*a - 544 for z.
4
Solve 9472*a - 45 = -5*n + 9470*a, -3*a = -9*n + 48 for n.
7
Solve 44220*z = 44214*z + 3*o + 57, -z = -o - 11 for z.
8
Solve 4*o - 170 + 141 = 3*g + 2*o + 37, -3*g + 3*o - 132 = -21*o for g.
-20
Solve -2*t = -5*d + 181, 17*t = 331*d - 155*d - 173*d - 77 for t.
2
Solve -3*a - 1453 = 2*u - 1469, -2*a = -127*u + 631 for u.
5
Solve -28 = -4*y, 0 = -230444*w + 230449*w + 5*y - 10 for w.
-5
Solve 0 = -2*h - 13*i + 17*i - 2, -8 = h - 7*i + 4 + 4 for h.
5
Solve -r - r + 2*x - 252 = r - 220, 4*r = -16*x + 200 for r.
-2
Solve 3*l - 11 = 55*t - 54*t, 34*l + 2*t + 162 = -t for l.
-3
Solve -25*w = -100, 3*v - 4086*w + 8176*w + 70 = 4094*w for v.
-18
Solve 6*c = -4*f + 62, 5*f - 4*c + 58979 - 59045 = 0 for f.
14
Solve 74*t - 71*t = 4*s + 44, -55*t + 3*s + 116 = -339 for t.
8
Solve -54 = 4*v - 257*b + 255*b + 18, -4*b + 128 = -v - b for v.
4
Solve -3*w + 2608 - 2612 = 2*d, 5*d = -2*w - 32 for d.
-8
Solve -t = 5*n + 210, -11341319*n + 11341323*n + 149 = 3*t for t.
-5
Solve -71*t - 77*t = -5*r - 151*t - 17, 5*r = -30*t - 125 for r.
-1
Solve -2*d - 157259 = -2*n - 0*d - 157325, 9*n = -2*d + 11 for n.
-5
Solve 0 = 5*x - a - 92, 463046 - 462986 = 3*x + a for x.
19
Solve 200*y = 8*i - 3*i + 198*y + 12, 4*i + 160 = 11*y for i.
4
Solve -5*a + 29*w = 3326 - 3374, 4*a + w = -10 for a.
-2
Solve 0 = 7*w - 44*p + 49*p - 55, p - 13 = -w - p for w.
5
Solve 5*z = 15, -4*o + z + 2 = -34*o + 29*o for o.
-5
Solve -243*m + 247*m + 3*n + 5 = 0, 0 = m - n + 16 - 6 for m.
-5
Solve -5*a = -5*m + 6*m + 27*m + 333, 13 = 4*a - 3*m for a.
-5
Solve 4*p + 10 = 3*q - 78, -90454*q = -5*p - 90312*q - 663 for p.
-19
Solve -3*m = 5*h - 150 + 115, -3 = 3*h - 15 for m.
5
Solve 244041*r = 12*i + 244038*r + 63, -i - 21 = -2*r for i.
-3
Solve 12*x + 59 = 5*a, -5*a = -x - 103 + 66 for a.
7
Solve g = 2*a - 5, -118 - 511 = -3*g + 5*a - 646 for g.
-9
Solve -5*d + 210 = 5*g, 30 + 126 - 24 = 5*d + 23 - 126 for g.
-5
Solve -32*m = -5*f + 16029670 - 16029685, -f - m = 40 for f.
-35
Solve 1937*j - 1934*j + 5*z = -205, 0 = 3*j - 8*z + 257 for j.
-75
Solve -583*d = -585*d - 3*h - 32, 0 = 4*d - h + 8 for d.
-4
Solve 5*k = 4*w + 101, 160*w - 160*w - 2*k + 3*k - 1 = 0 for w.
-24
Solve -4*h - 3*f + 1 = 0, 1038 = 26*h + 17*f + 1019 for h.
4
Solve -6*c = 30, -24*p - 27*p - 26*p - 860 + 302 = -6*p - 2*c for p.
-8
Solve -5*u + 2*y + 21 = 0, 7457*u + 7*y = 3728*u + 3728*u + 19 for u.
5
Solve -16 = -2*s - 5*d + d, 0 = 7804*s - 7805*s - 5*d + 26 for s.
-4
Solve -3*a + 971*r + 47 = 972*r, 7*r = -3*a - 60 + 317 for a.
4
Solve -4*u = -2*s - 316, 23336*s + 5*u - 395 = 11667*s + 11664*s for s.
0
Solve -33*j - 38 = -5*n, 6 = -4*j - 3044*n + 3046*n for j.
-1
Solve -4*f - 16 = -28*x, -1826*x - 3*f = -1821*x + 12 for x.
0
Solve 22589*h - 22585*h - 66 = 2*t, 3*h - 44 = -4*t for h.
16
Solve 110*g = a + 108*g - 24, -318 = -16*a - g for a.
20
Solve -13*b + 128 = 3*h + 150, -b + 4*b + h - 3 + 9 = 0 for b.
-1
Solve -n - 115 = 2*y, -9*n = 998*y - 1002*y - 197 for y.
-56
Solve 424 = 36*g + 2*l + 526, 0 = -l + 21 for g.
-4
Solve -6*l + 4*l + 0 = u - 3, -37*l + 80*l - 12 = -4*u + 40*l for u.
3
Solve -25 = -8*y - 15*y + 18*y, 13*h - 4*y - 578 = 0 for h.
46
Solve -60711*s + 4*g = -60708*s - 133, -6*s + 2*g + 80 = 0 for s.
3
Solve -4*m + 2 = -2*d - 2*m - 3*m, 93*d - 6*m = 96*d - 33 for d.
-5
Solve -4*h - 2*h - 103 - 167 = 3*z - 105, 4*z = 4*h - 160 for h.
-5
Solve -3478*y - 3*b = -1013*y + 36482 - 14309, -3*y - 5*y + 4*b - 43 = -5*y for y.
-9
Solve -6*v - k = 16, 3*v - 783*k = -780*k + 27 for v.
-1
Solve 48*u + 4*g = 43*u + 12*g + 25, 0 + 5 = u + 5*g for u.
5
Solve -9 = 5*j - 83*s + 2 + 45, 5 - 1 = 2*s for j.
22
Solve -5*z + 567 = 4*x + 790, x = 3*z + 127 for x.
-2
Solve -28002*o + 2*h + 148 - 12 = -28044*o, 5*o = 3*h for o.
-3
Solve 3*t + 16 = -x, -63*t + 61*t - 2*x - 1 = 11 for t.
-5
Solve 0 = 15*q + 5*a - 0*a + 200, -3*q + 11*a = -214 + 206 for q.
-12
Solve 0 = -4*l - 4*q - 24, -2*q - 17 = 2*l - 3*q + 4*q for l.
-1
Solve 10*r - 4*t = 206, r + 19*t + 9*t + 73 = 46*t - 20*t for r.
5
Solve 1872*c - d = 1867*c + 2*d + 30, -4*d + 263 = 27*c for c.
9
Solve 2*y = 3*u + 17, -3608 + 1811 = -4*y - 1805 for u.
-7
Solve 6*c = -d + 60, 5*d - 4*d = -0*d + 2*d + 4*c - 56 for d.
48
Solve 0 = -77*v + 80*v - 5*a + 10 - 36, 2*a = -79*v + 150 for v.
2
Solve -236*r = -54*t - 241*r + 154, -2*t - 178 = -9*r for t.
1
Solve -3*a + j + 12 = -13, -696*a = -694*a - 4*j - 10 for a.
9
Solve 5339*h - 5334*h - 5*m + 30 = 0, -3*m = 3*h + 30 for h.
-8
Solve 22840*u - 22839*u - 3*o - 59 = 0, 52 = -4*u - 4*o for u.
5
Solve -2*g + 3*w + 128 = -10 - 10, -5*g - 251 = -4*g + 5*w for g.
-1
Solve 43458*a = 43455*a + 4*l - 42, 3*a - 10*l + 96 = 0 for a.
-2
Solve 522*o - 14 = 521*o + 2*b, 2*b = 4*o - 44 for o.
10
Solve 26*v + 30*w - 34*w + 62 = 28*v, 3*v - 5*w = -5*v - 46 for v.
3
Solve o + 2*m - 9 = 0, o - 3*m - 91 + 175 = 113 for o.
17
Solve -3*s = -5*x + 3 - 13 + 6, -3*x + 15 = 4*s for s.
3
Solve -u - 2108 = 526*d, 15*u - 17*u + 3*u = 4*d - 9*d - 24 for u.
-4
Solve 7*c - 25 = 12*c + 5*s, -171 = 32*c - 37*c + 5*s - 136 for c.
1
Solve 485*b + 206 = -2*i + 483*b, -19*b = 2*i + 1889 for i.
-4
Solve 28 = -q - 25*o + 29*o, 5*o = 0 for q.
-28
Solve 19*s - n = 18*s - 9, 132*s + 10*n = 8*n - 266 - 654 for s.
-7
Solve -3*d = -m + 83, -7023*m - d - 563 = -7029*m + 4*d for m.
98
Solve 111627*f - 111622*f = 5*t - 150, -8*t + 32*f + 216 = 0 for t.
31
Solve -8*g + 2*o = 0, -42*g + 6*o = -45*g + 2*o - 76 for g.
-4
Solve -114*h - 74 = 99*h - 204*h + 5*i, -2*i - 45 = 5*h for h.
-11
Solve 24*m - 12*n = -19*n + 8*n - 126, -4*m - 14 = n for m.
-5
Solve -10*v - 25*z - 304 = -27*z, -5*v + 2*z = 149 for v.
-31
Solve 2*x = 14*q + 86, -5*x + 379 = -3*q + 356 for x.
1
Solve -37*j - 198 = -31*j - 36*a, 2*j - 3*j - 8 = -a for j.
-3
Solve 1746*y = -4*w
|
{
"pile_set_name": "DM Mathematics"
}
|
-2? (a) -181 (b) -3 (c) -2
c
What is the closest to 0 in 23, 2/7, -2/31?
-2/31
Which is the closest to 3? (a) 0.09 (b) 0.3 (c) 4
c
What is the closest to 1 in -23.5, 3/7, 5?
3/7
What is the nearest to 0.1 in 4, -1, -0.9?
-0.9
Which is the nearest to 0.1? (a) -5/2 (b) -431 (c) 0.5 (d) -2/13
d
Which is the nearest to -12? (a) -6/23 (b) 1 (c) 0.4
a
What is the closest to 5/6 in 0.1, -2/3, -7?
0.1
What is the nearest to 1 in 25, 5, 16?
5
What is the nearest to -0.1 in 0.04, 3, -4, -5?
0.04
What is the closest to -1 in 0.06, 3, 0.22?
0.06
What is the nearest to 0 in -3/8, -1, -4, 0.4?
-3/8
Which is the nearest to 3? (a) -0.3 (b) 2/7 (c) -2
b
What is the nearest to 0 in -3, -1.5, -2, -2/5?
-2/5
Which is the nearest to 0.1? (a) 6 (b) 4 (c) 0.2 (d) -1
c
Which is the nearest to 2? (a) 2/9 (b) -2 (c) 0.4 (d) -5
c
What is the closest to -0.1 in 0.15, 73, 0.1?
0.1
What is the nearest to 2/7 in 0.2, -1/3, -3, -242?
0.2
Which is the closest to -3? (a) -0.5 (b) -12.9 (c) 0
a
What is the nearest to -1 in 1/6, 2/7, -0.2, -7?
-0.2
Which is the closest to 0? (a) 0.4 (b) -12 (c) 0.02 (d) -2/17
c
What is the nearest to 0.1 in -1/7, 3, -1464?
-1/7
Which is the closest to 12.6? (a) -1 (b) 2/11 (c) 5
c
Which is the closest to -30? (a) 0.5 (b) -2/11 (c) -5 (d) -0.2
c
Which is the closest to -9? (a) 0.4 (b) 2/9 (c) -1/2
c
Which is the nearest to -30/11? (a) 1 (b) 3/11 (c) 2 (d) -0.2
d
What is the closest to -0.1 in 2, 0.55, 0.2, -0.2?
-0.2
Which is the nearest to 2/5? (a) 121 (b) -4 (c) 3 (d) 2/11
d
Which is the closest to 1? (a) 13 (b) 0 (c) -2 (d) 1
d
Which is the closest to 23/3? (a) 0.4 (b) 1/3 (c) -0.2
a
Which is the closest to -0.1? (a) 1/2 (b) 0.4 (c) -1.7 (d) 61
b
Which is the nearest to 1? (a) 1/9 (b) -2/21 (c) 56
a
What is the nearest to -4 in 1, 0.5, -4/13, -1?
-1
Which is the closest to 1? (a) 3 (b) 1/3 (c) -5 (d) 1
d
What is the nearest to 1 in 4, 3/4, 98, -1/2?
3/4
Which is the closest to 0.1? (a) 0.04 (b) 0.3 (c) 0.6 (d) -1/6
a
What is the nearest to -2 in -2, -1/14, 5, 0.5?
-2
Which is the nearest to 1? (a) 0.3 (b) -4 (c) 2 (d) -1/4
a
Which is the closest to 0? (a) -86 (b) -5 (c) 3/8
c
Which is the nearest to 1? (a) -35 (b) -0.5 (c) 0.1
c
What is the closest to 2 in 0.1, 3, -0.6, 5?
3
Which is the nearest to 1/4? (a) 2/3 (b) -2/9 (c) 3/2
a
What is the closest to -8/63 in -2/5, 0, -0.2?
-0.2
Which is the nearest to -4? (a) 0.4 (b) -0.688 (c) 3 (d) 0.5
b
Which is the nearest to 46? (a) -3 (b) 0.02 (c) 0.4
c
What is the closest to 0.4 in 0, -0.2, 1/3, 0.4?
0.4
What is the nearest to -1 in -0.4, -6/5, 3/5, 34?
-6/5
Which is the nearest to -1? (a) -0.5 (b) 0 (c) -0.007 (d) -1
d
Which is the closest to 3? (a) -2/13 (b) -3 (c) 0.2 (d) 2
d
Which is the closest to 52? (a) -3 (b) 0.3 (c) -4
b
What is the closest to -1 in -2, 14, 2, 0.62?
-2
Which is the closest to 1/4? (a) -0.5 (b) -4 (c) 3 (d) 1/8
d
What is the nearest to -3/4 in -16, 0.9, 0.1?
0.1
What is the nearest to -1/2 in 2/13, -43, -4, -2/11?
-2/11
What is the closest to 5 in 3, -4, 0.3, 8/3?
3
Which is the closest to 2? (a) -1/7 (b) 0 (c) 29
b
What is the nearest to -2 in -4, -0.5, -0.19?
-0.5
Which is the closest to 0.1? (a) -3 (b) -1/6 (c) 16 (d) -0.2
b
What is the nearest to -7/6 in 1, -2/7, -0.08, 2/7?
-2/7
What is the nearest to 36 in 0, 4/7, 4?
4
Which is the closest to -2? (a) -96 (b) 1 (c) 4 (d) -3
d
What is the closest to 11 in 4, -4, 1, -5?
4
Which is the nearest to 3/8? (a) 3/5 (b) -2 (c) -1/9
a
What is the closest to 0 in 1/3, -4/7, 5, 0?
0
Which is the closest to 2/189? (a) -1/7 (b) 1 (c) -0.2
a
What is the closest to -1/8 in 0.3, 5, 4, -4?
0.3
What is the nearest to 311 in 1/4, 3/5, 1, 0.4?
1
Which is the nearest to 60/11? (a) 4/5 (b) 5/2 (c) -2/5 (d) -0.1
b
What is the nearest to 2 in -1/8, 5, 1/5?
1/5
Which is the closest to -0.1? (a) -5/27 (b) -2/3 (c) -3
a
What is the closest to 2/3 in -0.5, -2, -1386?
-0.5
What is the closest to 1 in 6, -25, -1?
-1
Which is the nearest to -0.06? (a) 3/8 (b) 3 (c) 0.352
c
Which is the closest to 0.1? (a) 4 (b) 5 (c) -1
c
Which is the closest to 3? (a) 1/5 (b) -4/5 (c) 0.4 (d) -0.4
c
What is the closest to 1 in 0, 0.3, -5, -2?
0.3
What is the nearest to -2 in 1/2, 2, 355, 4?
1/2
What is the closest to -2/5 in -16, 1/6, -0.04, -2?
-0.04
Which is the nearest to 0.1? (a) -34 (b) 3 (c) -13
b
Which is the closest to 1? (a) 4 (b) 2/7 (c) -21 (d) -9/7
b
Which is the nearest to 1? (a) -5/6 (b) 0 (c) -2/17 (d) -2/5
b
What is the closest to -1/29 in -2, 0.4, 1?
0.4
What is the nearest to 0.1 in 3, -5, -10/3, 0?
0
What is the nearest to 0 in -2/11, -5, 1/6?
1/6
What is the closest to 1 in -0.2, -1/7, 19, -0.5?
-1/7
Which is the nearest to -1/10? (a) 0.62 (b) -0.11 (c) 4
b
Which is the closest to 2? (a) -2/17 (b) 2/5 (c) -1 (d) 4
b
Which is the closest to 0.1? (a) 0.08 (b) -4 (c) -0.8
a
What is the nearest to -32 in 0.3, -1, 0.5?
-1
What is the nearest to -2 in 96, 4, 5, -0.3?
-0.3
What is the nearest to 2 in -1, -126, 0, 1/6?
1/6
Which is the closest to 0.63? (a) -0.5 (b) 5 (c) 1/21
c
What is the nearest to 1 in -0.04, 0, -109?
0
What is the closest to -1 in -3, -26, -376?
-3
What is the closest to 1 in 4, 0.4, -0.2, -3/4?
0.4
Which is the nearest to -4/7? (a) -4/3 (b) 2 (c) -2
a
Which is the closest to 1/4? (a) 8 (b) -2/5 (c) -2/17 (d) 3
c
What is the closest to -8 in -3, -0.1, 6/5, -4?
-4
Which is the nearest to 2? (a) -15 (b) 1 (c) 10
b
What is the nearest to 4 in -2, 0.5, 4/3, -1/2?
4/3
What is the closest to 0 in 0.036, 0.2, -9, 2/7?
0.036
What is the nearest to -0.1 in -4, 1.4, -2?
1.4
Which is the nearest to 0.2? (a) -6/11 (b) -0.5 (c) -5 (d) -15
b
What is the closest to -6 in 0.09, -2, 4?
-2
What is the nearest to 0 in -0.21, 6, -2/17?
-2/17
Which is the closest to -0.1? (a) 415 (b) 0.1 (c) -2/17
c
Which is the nearest to -0.1? (a) -30 (b) -3 (c) 1
c
Which is the nearest to 0.1? (a) 0 (b) -4 (c) -0.05 (d) 34
a
What is the closest to -0.06 in -25, 2/9, -3?
2/9
What is the closest to -12 in 1, 1/7, -4?
-4
Which is the closest to 1? (a) -6 (b) -3 (c) 5/2 (d) 6/7
d
Which is the closest to -1/6? (a) 0.5 (b) 4 (c) 5/2 (d) -0.5
d
What is the nearest to 2 in -8, 0.4, 4/5?
4/5
Which is the closest to 0? (a) 0.4 (b) 0.2 (c) 87
b
Which is the nearest to 2? (a) -5 (b) 7 (c) 2/3
c
Which is the closest to -2/3? (a) -2/7 (b) -1/6 (c) 1/2 (d) 2991
a
Which is the closest to 1? (a) 0.2 (b) 0.5 (c) -1 (d) -5
b
Which is the closest to 5? (a) 0.41 (b) 4 (c) 2
b
Which is the closest to -0.1? (a) 15 (b) -3 (c) 9 (d) 2/9
d
What is the nearest to 4 in -2/11, 4/3, -17, -4?
4/3
What is the closest to -1 in -4, -6/11, 0.2, 1/2?
-6/11
Which is the nearest to -0.2? (a) 3/4 (b) -0.4 (c) -2 (d) 3/2
b
Which is the closest to 3? (a) -5 (b) -0.4 (c) 5
c
Which is the closest to 5? (a) 0 (b) 3 (c) 4
c
Which is the closest to -3? (a) 8 (b) 4 (c) -1/5 (d) 0.3
c
What is the closest to 0 in -0.09, -2/5, 2/9, -3?
-0.09
Which is the nearest to -2/73? (a) -0.5 (b) 0 (c) -2/5
b
What is the closest to 0 in -1.4, -0.5, -0.4?
-0.4
Which is the closest to 1? (a) -0.159 (b) -2 (c) 1
c
Which is the nearest to -2/3? (a) 1 (b) 0.8 (c) -0.2 (d) -3
c
What is the nearest to 2 in -1, 276, -3, 2/9?
2/9
What is the closest to -2 in 5, 2.3, -4/3, 1/7?
-4/3
What is the nearest to -0.24 in 0.06, 1, -3?
0.06
Which is the nearest to -1/3? (a) -1/2 (b) 0.5 (c) 4 (d) 5
a
Which is the nearest to 182? (a) 3 (b) 0 (c) -2/3 (d) -1
a
What is the closest to 430 in 0.5, -2/17, 5, -0.3?
5
What is the nearest to 5 in -3, 4/3, -2/3?
4/3
Which is the nearest to 0.1? (a) -1/9 (b) -1 (c) -4 (d) -731
a
Which is the nearest to -2/9? (a) 4 (b) 3 (c) -5 (d) -4/3
d
Which is the nearest to 0? (a) -4 (b) -1/2 (c) 5/17
c
Which is the closest to 1/3? (a) 10 (b) -5/2 (c) -5
b
What is the closest to -1/3 in -3, 4, 18?
-3
Which is the nearest to -9? (a) 0 (b) -1/2 (c) 65 (d) -2
d
Which is the closest to 2/5? (a) -6/11 (b) -2/9 (c) 0.1 (d) -3
c
Which is the nearest to 1? (a) 0.5 (b) -4 (c) -1 (d) 1/3
a
What is the nearest to -265 in -1, 1, 0.3, 2/9?
-1
What is the closes
|
{
"pile_set_name": "DM Mathematics"
}
|
6 decimal places.
-0.000005
Let j = -952.0000056035 - -952. Round j to 6 decimal places.
-0.000006
Let j = 0.18 + -110.18. Let k = 1903829383 - 1903829273.0000141. Let t = k + j. What is t rounded to six dps?
-0.000014
Let d = 48 - -109. Let p = -3.915 - 151.755. Let y = d + p. Round y to one dp.
1.3
Let r = 34.5494455 + -34.55. What is r rounded to 5 decimal places?
-0.00055
Let o = 0.3305 - 0.33050245. Round o to 7 dps.
-0.0000025
Let w = -5.758188 - -5.777. What is w rounded to four decimal places?
0.0188
Let g = -804634 - -414534. Round g to the nearest 10000.
-390000
Let c(i) = -11753*i**3 + i**2 + 38*i + 128. Let d be c(-12). What is d rounded to the nearest one million?
20000000
Let k = -38 - -43. Suppose 28888 + 208612 = -k*a. Round a to the nearest 1000.
-48000
Let i = 6.8972 - 2.836. What is i rounded to one decimal place?
4.1
Let d(u) = -155*u**3 + 40*u**2 + 145*u + 170. Let r be d(-29). Round r to the nearest 1000000.
4000000
Suppose -741*c + 776*c - 600091020 = 400243980. What is c rounded to the nearest one hundred thousand?
28600000
Suppose -96 = -26*k + 34. Suppose f + 0*x + 630 = 4*x, f + 585 = -k*x. What is f rounded to the nearest one hundred?
-600
Let w = 670225 + -670161.99997. Let r = 27 - -36. Let j = w - r. Round j to 5 dps.
0.00003
Let j = -27.560982629 - -27.561. What is j rounded to six decimal places?
0.000017
Let m = -33782922702.99999711 - -33782922334. Let t = -4.08 - -373.08. Let d = t + m. What is d rounded to six dps?
0.000003
Let b = 143.3 - -8.7. Let t = 151.62303468277 + 0.37696620723. Let h = t - b. What is h rounded to 7 decimal places?
0.0000009
Let x = -236.93 + 259. What is x rounded to zero decimal places?
22
Suppose -24 = -m - 7*m. Let z be 3 + -6 - (m + -545). Suppose 0 = -5*f - 3*y - z, -4*f + 0*y = -y + 421. What is f rounded to the nearest 10?
-110
Let z = -9545 - -9545.0000052586. Round z to 6 decimal places.
0.000005
Suppose -2*f = -0*f - 1816. Suppose -308*g + 108192 = -322*g. Let r = f + g. Round r to the nearest 1000.
-7000
Let p = -256328.0000153381 - -256328. Round p to six dps.
-0.000015
Let m = 150445.93 - 149623. Let h = 832 - m. What is h rounded to zero decimal places?
9
Let y = 54.2 + 15.8. Let a = -0.08181 - -58.68181. Let i = a - y. Round i to zero dps.
-11
Suppose 0 = 178*m + 137373328 + 163037272. What is m rounded to the nearest one hundred thousand?
-1700000
Suppose 0 = 4*z + 4*y + 152888, -6*z - 76450 = -4*z - y. What is z rounded to the nearest 1000?
-38000
Let j = -10.22776 - -10.47. Round j to 2 dps.
0.24
Let l(q) = -780*q - 80. Suppose -6*y + 3*y - 5*a = -17, -4*y - a + 17 = 0. Let u be l(y). Round u to the nearest one thousand.
-3000
Suppose 31*s = -16*s - 658. Let g be 5 - 12666/(8 + s). What is g rounded to the nearest 100?
2100
Let d(y) = -194*y + 17. Let l be d(3). Let g = l - -854. What is g rounded to the nearest one hundred?
300
Let q = 55.249 - -0.551. Let m = 55.79996568 - q. Round m to 6 decimal places.
-0.000034
Let s be (10 + -12)/((-2)/(-3)). Let t(x) = 17056671*x + 13. Let i be t(s). Round i to the nearest one million.
-51000000
Let c = 511 - 364. Let o = -135.2 + c. Let d = o - 11.344. What is d rounded to 2 dps?
0.46
Let g = -0.06 - 71.14. Let y = -71.1999564 - g. What is y rounded to five decimal places?
0.00004
Let f(l) = -364455*l - 1. Suppose d + 19 = 18. Let s be f(d). Suppose -2*i = s + 443546. What is i rounded to the nearest 100000?
-400000
Let m be 35/21 - (-1)/3. Suppose -m*u - 4*s + 15 = 3*u, 5*s = 0. Suppose 5*w - 8690 = -h, 0*h + 4*h = u*w + 34806. Round h to the nearest 1000.
9000
Let h = 0.1 + -0.07. Let f = 3.93 - h. Let p = 3.899876 - f. Round p to 5 dps.
-0.00012
Let y = -2390.9302817852 + -0.0458882148. Let h = y - -2391. What is h rounded to three decimal places?
0.024
Let u = -84 - -87. Let l be (-1)/((-3)/u)*(-466 - -9). What is l rounded to the nearest 100?
-500
Let o = -135.16 - 176.28. Round o to the nearest 10.
-310
Let z = 94 - -40. Let q = -4.536 + 185.036. Let n = q - z. What is n rounded to the nearest integer?
47
Let l = -1.7 + 1.682. Let x = 3.318 + l. Let p = -3.3022 + x. Round p to 3 dps.
-0.002
Let f(n) = -26*n**3 + 4*n**2 - 3*n - 6. Let x be f(-6). Let m be ((-2)/(-4))/((18/x)/(-3)). Round m to the nearest 10.
-480
Let l(h) = 122*h**2 + 27*h - 742. Let d be l(82). Round d to the nearest 100000.
800000
Let k = 30553.3 - 30752.441. Let n = -199.580948 - k. Let y = 0.44 + n. Round y to five decimal places.
0.00005
Let i = -124478838 - -124483933.6557. Let f = i - 5139.655706. Let o = f + 44. Round o to 6 decimal places.
-0.000006
Let m = -416.9 + 416.94364. Round m to two dps.
0.04
Let u(q) = -98*q - 186*q - 2610 + 2605 - 221*q. Let w be u(-3). Round w to the nearest one hundred.
1500
Let k = -135 - -71. Let h = 0.018027 - 63.960027. Let m = k - h. Round m to 2 dps.
-0.06
Let k = -10.3736 + 10.17. Let g = k + 0.200886. Round g to four decimal places.
-0.0027
Let q = -974 + 973.611. Let x = -0.389802 - q. Round x to five decimal places.
-0.0008
Let g = -6849 + 7730.4. What is g rounded to the nearest 10?
880
Let b = -717.5 + 590. Let l = 127.499999453 + b. What is l rounded to 7 decimal places?
-0.0000005
Let c = 34.633 + -38.88. Let d = c + 0.427. What is d rounded to 1 decimal place?
-3.8
Let r = 876 + 3644. Let n = 4520.00002453 - r. What is n rounded to 6 decimal places?
0.000025
Let g(a) = -309*a**3 - a**2 - 3*a + 41. Let h be g(-4). What is h rounded to the nearest one thousand?
20000
Let k = -972.984 + 32.554. Round k to the nearest 100.
-900
Let d = 169.1 - 159. Let z = d - -5.5. What is z rounded to 0 dps?
16
Let q = -8275 - -8274.999336. Round q to 3 dps.
-0.001
Let g = 211.8 + -210.522. Round g to the nearest integer.
1
Suppose 2*a = 4*a - 8. Suppose -2*j - 1902 = -a*z, 0 = -2*j - 2*j - 20. Round z to the nearest 10.
470
Let l be 2/(-7) + (-16727840)/14. Let c = 374589 - 749435. Let z = l - c. What is z rounded to the nearest 100000?
-800000
Let x = -10482 + 11038. Let p = -917.154 + 1472.897. Let n = x - p. What is n rounded to 2 dps?
0.26
Let q = -3028.27999695 - -3160.27999. Let c = 132 - q. What is c rounded to six dps?
0.000007
Let n = -229093.0098139 - -229093. Round n to four decimal places.
-0.0098
Let i = 2857.7 + -3333. Let y = i - -439. Let o = -10.1 - y. Round o to the nearest integer.
26
Let w = -395438 + 395023.9696. Let x = w - -0.0304. Let k = -414.000000742 - x. What is k rounded to 7 decimal places?
-0.0000007
Let w(b) = 2894576*b - 1304. Let r be w(4). Round r to the nearest 100000.
11600000
Let q be (-8)/((-256)/24) - (7595211/4 + -2). What is q rounded to the nearest 1000000?
-2000000
Let y = -485.637 - -486. Let w = -0.611 + y. Round w to 1 dp.
-0.2
Suppose -3 = w + c, 0 = -5*w - c - 13 + 6. Let p be 1089993/w + 1 - 8. What is p rounded to the nearest one hundred thousand?
-1100000
Let b = -2113 + 2121.232. Round b to one dp.
8.2
Suppose 5*f + 2*v + 1256744 = 0, 2*v - 4 - 2 = 0. What is f rounded to the nearest one hundred thousand?
-300000
Let m be 3 + 0 - (-6 - 2). Let o(q) = -3*q + 29. Let a be o(m). Let b be 2 - 2 - a - 22904. Round b to the nearest 1000.
-23000
Let f = 0.3903 + -3.6522. Round f to 1 dp.
-3.3
Let l = -218897888936 - -218897887930.99997881. Let a = 1005 + l. What is a rounded to 5 decimal places?
-0.00002
Let w = -447.35407 - -0.20407. Let h = 8.15 + w. Let j = -439.0000223 - h. Round j to six decimal places.
-0.000022
Let c(u) = 23*u + 80. Let b be c(-4). Let s(x) = 6*x**3 + 2*x**2 + 31*x + 22. Let q be s(b). What is q rounded to the nearest 100?
-10400
Let c = -118413054 - -118413013.9999991. Let m = 20 + -60. Let k = m - c. What is k rounded to 7 decimal places?
0.0000009
Let i = -6976 - -6975.1062. What is i rounded to two decimal places?
-0.89
Let g = 53.36 - 53. Let z = g + 27.64. Let l = z - 0.7. What is l rounded to the nearest 10?
30
Let b = -271 + 257.72. Let m = -1.98 - b. Let k = 11.178 - m. Round k to two decimal places.
-0.12
Suppose -c - 3*c + 20 = 0. Suppose -3*x - c*p = -69817, -13421 = 3*x + 4*p - 83242. Let o = -66979 + x. What is o rounded to the nearest ten thousand?
-40000
Let p be 43/1720*24 + (-177545003)/5. What is p rounded to the nearest one million?
-36000000
Let n = -2.3269 - -2379.5269. What is n rounded to the nearest 10?
2380
Let c = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
st common multiple of p(-20) and 3?
426
Let s = 54 + -62. What is the common denominator of (-1 + (-198)/(-15))*10/s and 2 - 2 - (-69)/(-4)?
4
What is the common denominator of (9/84)/(6/340) and -7 + 11 - (-149)/(-14)?
14
Let u = 315 + -269. What is the smallest common multiple of u and 14?
322
Let u = -4 - -2. Let r be u/(-11) + 5608384/(-792). Let h = -7073 - r. Find the common denominator of -12/11 and h.
99
Let c(l) = l**3 - 6*l**2 + l + 2. Let w be c(3). Let m = 38 + w. Calculate the smallest common multiple of m and 2.
16
What is the common denominator of 107/66 and 88/(-12)*(-9)/32?
528
Suppose -4*l - 5*d = -2*l - 37, -l = d - 20. Suppose 20*o - l*o = 15. Let s = -13 - o. Calculate the lowest common multiple of s and 34.
34
Suppose -4*f = -l - 6, -4*l - 7*f + 3*f = -36. Suppose l*n + 108 = 10*n. What is the smallest common multiple of 21 and n?
189
Suppose 3*b + 4*y + 19 = -41, 5*y - 17 = 2*b. Let i be 40/b*(-18761)/(-15). Let n = -3151 - i. Calculate the common denominator of n and 19/12.
12
Let h(d) = -d**3 + 4*d**2 + 4*d + 4. Let p be h(5). Find the common denominator of -1/11 and 2/(-9)*1/(-2)*p.
99
Let f = -581 - -901. What is the lowest common multiple of 480 and f?
960
Suppose -646 = 31*q - 2506. What is the least common multiple of q and 24?
120
Suppose -c + 2 = -2. Suppose -10 = -c*v + 6. Suppose -3*k = -5*d - 7, 18 = 3*k + k + 2*d. Calculate the lowest common multiple of v and k.
4
Let s(y) = y**2 + 8*y + 12. Let t be s(-6). Suppose 2*c + t = -2. Let h = 12 + c. What is the lowest common multiple of h and 1?
11
Suppose -6*y + 479 + 601 = 0. Calculate the smallest common multiple of y and 100.
900
What is the common denominator of -101/48 and (-15)/(-3)*114/95?
48
Let u = -30612 - -8387711/274. Let h = u + -64971/767474. Let x = h + -249277/16806. Calculate the common denominator of 59/2 and x.
6
Let u = 14410 + -518719/36. What is the common denominator of u and -65/207?
828
Let x = 230023/90 + -7664/3. Find the common denominator of x and 57/4.
180
Calculate the common denominator of (-3275)/340 - -7 - -3 and -85/22.
748
Let m = 262639/240 - 5463/5. Calculate the common denominator of -163/66 and m.
528
Let c(q) = q**2 - 25*q - 240. What is the smallest common multiple of c(-9) and 18?
198
Let t = 1023/10 - 103. Find the common denominator of t and -3*7/(98/23).
70
Find the common denominator of (-7 - (-329)/42)/((-4)/(-23)) and -23/27.
216
Suppose 4*z - 5*s = -2*s + 86, 2*s - 16 = -z. Calculate the least common multiple of 986 and z.
9860
Calculate the common denominator of -53/56 and (-1230)/60*2/(-42).
168
Let a = -1534967/110 + 13955. What is the common denominator of a and -69/70?
770
Suppose -r - 3*w + w = -212, -4*r + 843 = 3*w. What is the smallest common multiple of r and 14?
210
Let z = 2907/5 - 579. Suppose -18*o = -16*o + 2. Find the common denominator of (o/3)/((-27)/189) and z.
15
Let i be -4 + 5/(46880/138924). Let q be 1 - (276/(-293))/(-1). Let j = q + i. Find the common denominator of 43/10 and j.
40
Let q = -1908 - -1929. Suppose 0 = -4*d + 5*u + 50, 5*d - 3*d - 5*u - 30 = 0. Calculate the smallest common multiple of d and q.
210
Suppose 0 = -2*a - 4 - 14. Let n be a*(1 - 32/12). Calculate the smallest common multiple of 6 and 48/18*n/4.
30
Let q(a) = -3*a + 6. Let k be q(2). Suppose 4*p - 2*l - 42 = k, 10*p - 5*p + 4*l - 46 = 0. What is the least common multiple of p and 20?
20
Let p = -7 - -1. Let i be 4/((21/p)/(-7)). Suppose -30 = 3*b - i*b. Calculate the lowest common multiple of 6 and b.
6
Let r = -366 + 384. What is the least common multiple of 99 and r?
198
Let a = 20 + -33. Let n = a + 24. Let l(p) = -p + 18. What is the smallest common multiple of l(n) and 11?
77
Let t = -10 - -29. Let f = t + -9. Calculate the least common multiple of 18 and f.
90
Let n(u) = -u**2 - 4*u + 80. Let x be 10/35 + 52/14. Suppose 36 = 4*p + x. Calculate the smallest common multiple of n(-10) and p.
40
Suppose -16 = -4*x + 2*x. Let r(g) = -g**2 + g - 2. Let y be r(0). Calculate the smallest common multiple of x and (4/(-5))/y*5.
8
Let v(y) = y**2 + 13*y + 14. Let j be v(-14). Suppose -20*w = -24*w + j. Calculate the smallest common multiple of w and 10.
70
Let t be (1 + (-115)/5)/(2/3). Calculate the common denominator of (-296)/564 - (t/(-9) - 4) and 41/3.
141
Suppose -3*y + 0*y - 3*c + 3 = 0, -5*c - 1 = 3*y. What is the least common multiple of (4/(-3))/(1/(-3)) and y + (-3 + 6 - 4) + 3?
20
Suppose 24*w - 842 = -242. What is the common denominator of 71*((-1)/(-2) + -1) and w?
2
Suppose -9*a - 2 = -65. Let d(m) be the third derivative of -m**6/120 - 7*m**5/60 - 7*m**4/24 + 4*m**2. Calculate the smallest common multiple of d(-6) and a.
42
Calculate the common denominator of 23/60 and (-909)/(-504) - (-7 - -9).
840
Suppose 0 = 11*w - 15*w + 16. Let j(c) = c**3 - 4*c**2 + 5. Let m be j(4). Suppose 0 = -m*a - 19 + 49. Calculate the smallest common multiple of w and a.
12
Let s be (-5)/20 - 57/12. Let r = s + 7. Suppose 0 = -4*a + 2*g - 3 + 83, 52 = 2*a + 2*g. Calculate the lowest common multiple of r and a.
22
Let z be ((-41)/123)/(2/4308). What is the smallest common multiple of 4 and z/(-6) + (-14)/(-42)?
120
Let q = -4499233/990 + 9087/2. Let o = -269674/99 - -2724. Let d = o - q. What is the common denominator of 10/7 and d?
35
Let c = 2236 + -201313/90. Find the common denominator of c and -75/2.
90
Let i = 2310680/369 + -6262. Let q = 1345/1476 + i. What is the common denominator of 23/16 and q?
48
Let c(x) = -18*x - 550. Let g be 2 - (1 + (13 - -1)). Let s = 33 + g. Calculate the least common multiple of s and c(-31).
40
Let i = 12 + -9. Suppose i*d - r - 53 = 0, d + 3*d - 67 = 5*r. Suppose -4*a + 10 = a. Calculate the smallest common multiple of d and a.
18
Suppose -5*w + 13*t + 210 = 11*t, -2*w + 4*t + 100 = 0. What is the lowest common multiple of 48 and w?
240
Let m be (-657251)/(-321020) - 5/((-15)/9). Let w = m - -6/2293. Find the common denominator of w and 31/11.
220
Let f be 0 + 2 - 1 - 5. Let v be (78/(-12))/((-2)/f). Let n = -11 - v. Calculate the lowest common multiple of 26 and n.
26
Let s(h) = h**3 + 7*h**2 + 5*h - 2. Let a be s(-6). What is the common denominator of 4/(-6) + a + 273/18 and 0/2 - (-40)/7?
14
Suppose 0 = -9*b - 395 + 1232. Calculate the lowest common multiple of 16 and 1 - -1*b/3.
32
What is the common denominator of 8/28 + 73/(-140) and 61/8?
280
Let b = 1235/1188 + -20/297. Find the common denominator of 61/72 and b.
72
Let k(z) = 6*z + 1. Let o be k(1). Suppose -r = o - 17. Calculate the lowest common multiple of 3 and r.
30
Find the common denominator of 90/4*((-5)/(-5))/50 and 89/52.
260
Let m be -1*0*4/(-12). Suppose m = 7*x - 2*x. Suppose -8*k + 25 + 39 = x. Calculate the lowest common multiple of 14 and k.
56
Let n(s) = 2*s**2 + 4*s - 6. Calculate the least common multiple of 27 and n(3).
216
Let l(s) = -s**2 - 5*s. Let i = 3 - -3. Let k(u) = -u**3 + 7*u**2 - 6*u + 3. What is the lowest common multiple of k(i) and l(-3)?
6
Let d(t) = 2*t - 34. Let f be d(16). Find the common denominator of (f/4)/(5/(-190)) and -59/10.
10
Let z = 2 + -25. Let f = z + 27. Calculate the smallest common multiple of f and 8.
8
Let j be (-1 - 15/(-21)) + (-2087)/(-7084). Let n = j + -2731/1265. What is the common denominator of n and 81/14?
140
Suppose -4*h + 9 + 31 = 0. Let g = -3/4870 + 16803/2435. Find the common denominator of (69/h)/((-4)/(-10)) and g.
20
Let a = -146 + 164. Suppose 2*i + 34 = -5*k, 0 = -2*k + 4*i - 0 - 4. Let s = -4 - k. Calculate the smallest common multiple of s and a.
18
Let b(z) = 17*z**3 + z**2 + z. Let r be b(2). Calculate the common denominator of r/(-8) - (-3 + 1) and 2065/50 + 2/10.
4
Let r = 13333/9 - 1489. What is the common denominator of r and (-174)/12*(-4)/(-3)?
9
Let u be 10/(-35) + 38/(-14). Let q be u*1 - (-6 + -17). Find the common denominator of -1 + (84/q - -3) and -11/2.
10
Let d = 6 - 4. Let c(j) = j + 8. Let z be 5/(-15) + (-11)/3. Calculate the lowest common multiple of d and c(z).
4
Suppose 5*m = 10 + 15. Suppose 0 = 2*n - 10, -4*q + 3*n = -2*n - 175. Suppose -4*j - q + 86 = 0. What is the smallest common multiple of m and j?
45
Let k be ((-9)/((-54)/(-12)))/((-1)/(-4)). What is the lowest common multiple of 6 and (-206)/k - (-3)/(-4)?
150
Let t
|
{
"pile_set_name": "DM Mathematics"
}
|
189*z - 128 = -253*z for z.
2
Solve -869*d + 547*d - 27540 = 1208*d for d.
-18
Solve 99*a + 97 = 1257 - 170 for a.
10
Solve 221*y + 1116 = -652 for y.
-8
Solve -8*a + 459 = 520 - 309 for a.
31
Solve 19*k + 434 = 244 for k.
-10
Solve 42 + 33 = 35*x + 5 for x.
2
Solve -60*n + 74*n = 84 for n.
6
Solve 168*y - 20*y - 888 = 0 for y.
6
Solve 15 = -32*h + 14 + 33 for h.
1
Solve -83*o - 1315 + 132 = 86*o for o.
-7
Solve 116*r - 1202 + 251 = 1369 for r.
20
Solve -58*h + 343 = 58*h - 585 for h.
8
Solve -635*v = 291*v - 8912 - 17942 for v.
29
Solve 36*q = -17*q - 16*q + 1311 for q.
19
Solve 166*z + 21 = 353 for z.
2
Solve -77*c + 176 = -166*c + 78*c for c.
-16
Solve -234*y + 465 = -65*y - 718 for y.
7
Solve -25*c - 23180 = -23180 for c.
0
Solve -2*d + 30 - 27 = 13 for d.
-5
Solve -1356 = -30*r + 55*r + 88*r for r.
-12
Solve -158 + 403 = 21*d - 217 for d.
22
Solve -2*d + 876 = 45*d + 26*d for d.
12
Solve 202*k - 383*k = -198*k - 102 for k.
-6
Solve -516 = 60*d + 6*d + 210 for d.
-11
Solve 0 = -16339*n + 16329*n + 10 for n.
1
Solve 0 = 4*y - 6*y - 7 + 1 for y.
-3
Solve 0 = -416*z + 3299 - 387 for z.
7
Solve 177*o - 32 = 181*o for o.
-8
Solve 989*k - 5990 = 1922 for k.
8
Solve 41*z = -9*z - 11*z - 610 for z.
-10
Solve 307*c - 2620 = 757 for c.
11
Solve 313 + 104 + 138 = -37*d for d.
-15
Solve 13*d = -11*d - 28*d - 572 for d.
-11
Solve -42*t + 79*t = -27*t + 704 for t.
11
Solve 0 = 35*s + 10*s - 155 - 205 for s.
8
Solve 128 - 678 = 265*g + 245 for g.
-3
Solve 0 = 8*b - 50*b + 420 for b.
10
Solve 595 = o + 607 for o.
-12
Solve -44*k - 46*k = 0 for k.
0
Solve 3961 = -138*g - 1607 + 738 for g.
-35
Solve -519 + 239 = 56*g for g.
-5
Solve -53*r + 58*r = 70 for r.
14
Solve -322*q + 134*q + 155*q - 495 = 0 for q.
-15
Solve -2768*a = -2778*a + 172 - 2 for a.
17
Solve -12*s + 22*s - 90 = 0 for s.
9
Solve -263*u + 327*u = 832 for u.
13
Solve 304*x + 2 - 610 = 0 for x.
2
Solve -88 = -5281*z + 5273*z for z.
11
Solve -29 - 803 = -104*n for n.
8
Solve 374 = -7*k + 283 for k.
-13
Solve -116*y - 100*y = 766 - 334 for y.
-2
Solve -275*r = -230 - 1145 for r.
5
Solve -95*g = 7*g + 1938 for g.
-19
Solve -97 = -13*m - 7*m + 83 for m.
9
Solve -37*h - 61*h = 380 + 992 for h.
-14
Solve 605 = 188*r - 523 for r.
6
Solve -26*k = 18*k - 13*k + 186 for k.
-6
Solve 2*t + 21 = 3*t for t.
21
Solve 10*n - 22 = -2*n + 122 for n.
12
Solve -878 = 258*p - 1136*p for p.
1
Solve 2973*h = 2941*h - 640 for h.
-20
Solve 204*c + 504 = 141*c for c.
-8
Solve 34*i + i = -20*i + 12*i for i.
0
Solve 52*m = 163*m + 190*m + 4816 for m.
-16
Solve -2172 = -101*j - 2172 for j.
0
Solve 6*g - 63 = 13*g + 2*g for g.
-7
Solve h + 2*h = 6*h + 60 for h.
-20
Solve 58*x - 275 - 29 = 20*x for x.
8
Solve 16*h - 45*h - 384 = 67*h for h.
-4
Solve 237 - 691 = -62*i + 352 for i.
13
Solve -258 + 474 = 12*w for w.
18
Solve 551*y - 4186 = 369*y for y.
23
Solve -2*t + t + 18 = 5*t for t.
3
Solve -534*d + 494*d - 1120 = 0 for d.
-28
Solve -26*h + 19 = -11*h + 94 for h.
-5
Solve 0 = -10*r - 32*r - 672 for r.
-16
Solve 40*z = -48*z - 54*z + 852 for z.
6
Solve -1089 = 66*z + 55*z for z.
-9
Solve 18429*i - 18251*i = -1424 for i.
-8
Solve 41*o - 126 = 95 + 66 for o.
7
Solve -487 + 239 + 235 = -k for k.
13
Solve -475*u + 256*u + 249*u = 390 for u.
13
Solve -182*q + 269*q - 336*q = -996 for q.
4
Solve -2*y = 2 - 10 - 4 for y.
6
Solve -148 + 44 - 136 = 30*h for h.
-8
Solve -82*z - 93*z + 3150 = 0 for z.
18
Solve -128*k + 389 - 5161 + 676 = 0 for k.
-32
Solve -116*c + 124*c = -72 for c.
-9
Solve -12360*y = -12344*y - 336 for y.
21
Solve 283*a - 199*a = 336 for a.
4
Solve -2*f + 42 = 2 for f.
20
Solve -48455*b = -48462*b - 105 for b.
-15
Solve -21*f + 4 = 26 - 1 for f.
-1
Solve -98*f = 35*f + 133 for f.
-1
Solve 15*h - 463 = -313 for h.
10
Solve 44*c - 639 = -49*c + 22*c for c.
9
Solve 127*q + 852 = 20 - 311 for q.
-9
Solve 144*w + 4992 = -168*w for w.
-16
Solve -28 - 22 + 3 = -47*o for o.
1
Solve 20*t - 114*t = -32*t - 434 for t.
7
Solve -54*u - 218*u = 4352 for u.
-16
Solve 1768 = -150*y + 40*y - 26*y for y.
-13
Solve 7201 = -276*h + 1405 for h.
-21
Solve -561*o + 509*o = -1040 for o.
20
Solve 3654*d + 150 = 3660*d for d.
25
Solve 13*o + 10*o + 15*o + 874 = 0 for o.
-23
Solve -1669*h + 1662*h - 28 = 0 for h.
-4
Solve 238 = 318*x + 2761 - 297 for x.
-7
Solve 2177*i = 2166*i - 77 for i.
-7
Solve 153*m - 421 = -156 + 1418 for m.
11
Solve -9*m + 1322 = 4*m + 1166 for m.
12
Solve 20 - 122 = -47*l - 666 for l.
-12
Solve -21 = 8*r + 49 + 42 for r.
-14
Solve -18663*h + 18799*h - 2176 = 0 for h.
16
Solve 331*b + 3495 = -3369 + 1899 for b.
-15
Solve 32*i - 164*i - 31*i + 1956 = 0 for i.
12
Solve 58*b - 221 = 68*b - 23*b for b.
17
Solve 251*k = -91 + 1848 for k.
7
Solve 150 = -35*x + 20*x for x.
-10
Solve -7247 = -905*s + s - 2727 for s.
5
Solve -51*z - 1659 = -17*z - 2135 for z.
14
Solve -1647*i + 583*i = -21280 for i.
20
Solve -65 = 15*p + 13 + 27 for p.
-7
Solve 322*w + 7*w = 914 - 4862 for w.
-12
Solve -5582*g + 5411*g + 1249 = -2171 for g.
20
Solve 0 = 656*p - 424*p for p.
0
Solve -60491*u + 60490*u + 9 = 0 for u.
9
Solve 27*o + 2291 = 2345 for o.
2
Solve -253*r + 2342 = -694 for r.
12
Solve -22 = 14*w + 174 for w.
-14
Solve 614*u - 612 = 4300 for u.
8
Solve -526 - 641 - 145 = -41*q for q.
32
Solve -50*i = -128 - 372 for i.
10
Solve -13*l = -33*l - 16*l - 396 for l.
-11
Solve -11 = -6471*a + 6472*a for a.
-11
Solve -50 = 41*n - 147 - 149 for n.
6
Solve 10*l = -5*l - 30 for l.
-2
Solve 4970*l + 141 = 5017*l for l.
3
Solve 0 = -301*s + 284*s + 85 for s.
5
Solve 4 = 7*t - 52*t - 41 for t.
-1
Solve 469*s - 10051 = 165*s - 323 for s.
32
Solve 0 = 3352*r - 3351*r + 8 for r.
-8
Solve n + 31 = 24 for n.
-7
Solve 0 = 11*m + 7*m + 14*m - 256 for m.
8
Solve -22*w + 959 - 542 = 483 for w.
-3
Solve -225*w = 317*w + 3794 for w.
-7
Solve 5*l = -19*l - 82 - 14 for l.
-4
Solve -56*w - 11*w + 134 = 0 for w.
2
Solve -185090 + 184818 = 16*a for a.
-17
Solve -1160 - 4148 = -1327*b for b.
4
Solve -6450 = -24*x - 182*x - 9*x for x.
30
Solve 337*o + 155*o - 2161 = 5219 for o.
15
Solve 8*n - 504 = 2*n - 456 for n.
8
Solve -687*h - 986*h + 37950 = -155*h for h.
25
Solve 95*h = 145*h - 300 for h.
6
Solve -2191 = 171*t + 1400 for t.
-21
Solve 0 = 199*c - 77 - 553 - 1559 for c.
11
Solve -3020*s + 3035*s = 165 for s.
11
Solve 502*j - 561 - 293 = 75*j for j.
2
Solve -11992*f = -11889*f + 1751 for f.
-17
Solve 463 = 32*w - 17 for w.
15
Solve -233 = 1669*n - 1624*n - 53 for n.
-4
Solve 0 = 19*m - 107 + 371 - 36 for m.
-12
Solve -15*w - 60 = -300 for w.
16
Solve 522 + 948 = 105*z for z.
14
Solve 9*b + 18*b - 281 = 43 for b.
12
Solve 20 = -40*s + 6 - 26 for s.
-1
Solve 375 = 79*z - 869 + 59 for z.
15
Solve 22*t + 3236 - 3368 = 0 for t.
6
Solve 181 = -22*g + 65 - 170 for g.
-13
Solve 351 = -292*a - 233 for a.
-2
Solve -3005 = 180*v - 7325 for v.
24
Solve 58*n + 48 = -5*n - 15 for n.
-1
Solve 9087*u - 272 = 9103*u for u.
-17
Solve 336*b = 292*b - 484 for b.
-11
Solve 2197 = 3*a + 2191 for a.
2
Solve 164*h = 167*h - 23 - 28 for h.
17
Solve -2*y + 29 = -11*y - 25 for y.
-6
Solve 231*m - 514*m + 5300 = 777*m for m.
5
Solve -22 = 7*a - 113 + 35 for a.
8
Solve 3331 + 5109 = -182*j + 2980 for j.
-30
Solve -23*i = 2702 - 2403 for i.
-13
Solve 14*k - 105 = 16*k + 13*k for k.
-7
Solve -44*b + 3360 = 8*b + 116*b for b.
20
Solve -1686*w + 1114*w + 17732 = 0 for w.
31
Solve -12*l + 44 + 63 + 73 = 0 for l.
15
Solve 0*l - 13*l = 8*l - 84 for l.
4
Solve -14*x = -214*x - 85*x - 3135 for x.
-11
Solve 2608 + 8215 = -277*f + 2790 for f.
-29
Solve 17*h - 472 + 38 = 59 for h.
29
Solve -6*h + 103 - 65 = 74 for h.
-6
Solve 146*r + 375 + 678 = -261 for r.
-9
Solve -12 = 27*g + 24 + 99 for g.
-5
Solve -9934 - 6968 = 1069*t + 7685 for t.
-23
Solve -1800 = -682*i + 610*i for i.
25
Solve 20*u - 84 = 30*u - 24*u for u.
6
Solve 0 = -51*s - 6921 + 5697 for s.
-24
Solve -111*k - 729 = 825 for k.
-14
Solve -342*g + 1306 = 42*g + 154 for g.
3
Solve 3*a - 12157 + 12181 = 0 for a.
-8
Solve -23 + 48 = 11*t - 8 for t.
3
Solve 7*n = 16 + 30 + 10 for n.
8
Solve 68*b - 52 - 220 = 0 for b.
4
Solve 76*m + 23*m + 2349 = 18*m for m.
-29
Solve -36*z = -12*z + 118 - 46 for z.
-3
Solve 30*i - 250 - 50 = 0 for i.
10
Solve 48*y + 692 = 1028 for y.
7
Solve 11*s + 403 = -3*s + s for s.
-31
Solve -169*x = -60*x - 58*x - 60*x
|
{
"pile_set_name": "DM Mathematics"
}
|
-46 + 341605*p - 46 - 79269*p + 92.
262336*p
Collect the terms in -817*g - 1151*g - 818*g + 4471*g - 1051*g.
634*g
Collect the terms in 764*r**3 + 12*r - 10*r - 2*r + 915*r**3 - 294*r**3.
1385*r**3
Collect the terms in -50 - 2*q + 104 - 2*q - 57 + q.
-3*q - 3
Collect the terms in -2153 - 4302 + 1748 - 3552 - 2*l + 1581.
-2*l - 6678
Collect the terms in 167732551 - 2*i - 167732551.
-2*i
Collect the terms in 18473*o - 16489*o - 52355*o - 22160*o.
-72531*o
Collect the terms in -11766*c + 26705*c + 33286*c + 11017*c - 3.
59242*c - 3
Collect the terms in 73*m**3 + 1 + 2*m + 309*m**3 + 286*m**3 + 100*m**3.
768*m**3 + 2*m + 1
Collect the terms in -105*i**2 - 112*i**2 - 114*i**2 - 113*i**2 - 116*i**2 + 692*i**2 - 131*i**2.
i**2
Collect the terms in 25327*i**2 - 12919*i**2 - 12408*i**2 + i**3.
i**3
Collect the terms in 3*y - 36740915377 + 71*y**3 - 3*y + 57*y**3 + 36740915376.
128*y**3 - 1
Collect the terms in -82117 - 2*b + 84508 + 2*b + 2*b.
2*b + 2391
Collect the terms in 671 - 526*x**2 - 710 + 41.
-526*x**2 + 2
Collect the terms in 4653*a - 13988*a + 3 + 4659*a + 4662*a.
-14*a + 3
Collect the terms in -13 - 2643*l**2 + 2639*l**2 + 4 - 49.
-4*l**2 - 58
Collect the terms in 17*y**3 - 10776*y + 10776*y - 27*y**3 - 9*y**3 - 7*y**3.
-26*y**3
Collect the terms in -2024 + 2*r + 1404 + 1068 - 3660 - 3048.
2*r - 6260
Collect the terms in 4*h**3 + 42*h - 9316 - 80*h + 9317 + h**3 + 38*h.
5*h**3 + 1
Collect the terms in -104*x + 70*x + 295*x + 194*x.
455*x
Collect the terms in 7891*b**3 - 6140*b**3 - 7867*b**3.
-6116*b**3
Collect the terms in -1093*v - 292 + 287 - 669*v.
-1762*v - 5
Collect the terms in 7 - 594*m + 1399*m - 1453*m - 6.
-648*m + 1
Collect the terms in -2*s**2 + 2*s**2 - 162206*s - 3*s**2 - 8*s**2.
-11*s**2 - 162206*s
Collect the terms in 1087002 - 543499 - 543352 - p**2.
-p**2 + 151
Collect the terms in -7069*q + 2370*q + 2307*q + 2378*q.
-14*q
Collect the terms in 240*b**2 + 0*b - 6*b + 8*b + b - 261*b**2.
-21*b**2 + 3*b
Collect the terms in 89*t**2 + 11*t**3 - 163*t**2 - 5*t**2 + 56*t + 79*t**2.
11*t**3 + 56*t
Collect the terms in -502 + 18*b - 14*b - 791 + 6*b + 2*b**2 - 11*b.
2*b**2 - b - 1293
Collect the terms in 1999 + 2066 - 6062 + 1997 + 19*k**2 - 13*k**2.
6*k**2
Collect the terms in 163*d - 14 - 4 + 3 - 158*d - 7 + 22.
5*d
Collect the terms in -749048041774048*z - 2 + 749048041774049*z + 2.
z
Collect the terms in -1798*r**2 - 515*r + 1035*r - 520*r.
-1798*r**2
Collect the terms in -140*p + 23*p - 277*p + 1122*p + 3*p - 277*p.
454*p
Collect the terms in -129143*k**3 - 664*k**2 + 664*k**2.
-129143*k**3
Collect the terms in 2984 - 12*b + 1933 - 11*b - 4917.
-23*b
Collect the terms in -1018946*i + 2038412*i - 1019454*i.
12*i
Collect the terms in -2 - 55*x - 2 - 37*x - 17*x**2 + 36*x + 3.
-17*x**2 - 56*x - 1
Collect the terms in 247 + 1343359*z - 246 - 1343375*z.
-16*z + 1
Collect the terms in 2439*p + 2426*p + 2454*p - 7288*p.
31*p
Collect the terms in -1480005713 + n + 1480005713 + n.
2*n
Collect the terms in -776*m**3 - 2817*m**3 - 3567*m**3.
-7160*m**3
Collect the terms in -968*z + 947*z + 7*z**2 - 13*z**2 - 2.
-6*z**2 - 21*z - 2
Collect the terms in 54522 + 102*w**2 + 101*w**2 - 202*w**2.
w**2 + 54522
Collect the terms in 73*y - 42*y - 31*y + 179*y**3.
179*y**3
Collect the terms in 2*c + 7448 + 7157 + 7435 - 22040 - c.
c
Collect the terms in 231*s + 208*s + 10 + 153*s - s**2 - 1.
-s**2 + 592*s + 9
Collect the terms in 5939*s**2 + 4014*s**2 - 4*s + 8*s - 4*s.
9953*s**2
Collect the terms in 12924*b + 12919*b - 38543*b + 12705*b.
5*b
Collect the terms in 740 - 202*n**2 + n - 4*n + 2427 + 3*n.
-202*n**2 + 3167
Collect the terms in -1152114*k**2 + 1152090*k**2 - 143557 + 143559.
-24*k**2 + 2
Collect the terms in -8*h + 46 + 7*h**2 - 247*h**2 + 60*h**2.
-180*h**2 - 8*h + 46
Collect the terms in 402*o**3 - 2185 + 2384*o**3 + 2183.
2786*o**3 - 2
Collect the terms in 2164184176115 - 2164184176115 - 21*v**2.
-21*v**2
Collect the terms in -21755*z - 158372*z**3 + 21755*z.
-158372*z**3
Collect the terms in 21013 - 7005 - 7004 - 7004 + 120*r**3.
120*r**3
Collect the terms in -9508*y + 439*y**2 - 9517*y + 28535*y - 9510*y.
439*y**2
Collect the terms in -87*w**3 + 24*w**3 + 29*w**3 + 6053*w + 33*w**3.
-w**3 + 6053*w
Collect the terms in 80*a**2 + 17793280*a - 35586561*a - 47*a**2 + 17793284*a.
33*a**2 + 3*a
Collect the terms in 29*z**2 + 2 - 11*z**2 - 2 + 11*z**2 - 39*z**2 + 23*z**2.
13*z**2
Collect the terms in 106*x**2 + 81*x**2 + 110*x**2 - 474*x**2 + 111*x**2.
-66*x**2
Collect the terms in 2923*c + 553*c - 1739*c - 1735*c.
2*c
Collect the terms in 206*t - 31*t - 60*t + 221*t - 13*t.
323*t
Collect the terms in -41567*l**3 + 82476*l**3 - 40916*l**3.
-7*l**3
Collect the terms in -56*o - 3257 + 13017 - 3252 - 3254 - 3254.
-56*o
Collect the terms in -26*u + 102*u - 24*u - 33*u - 21*u - 4723.
-2*u - 4723
Collect the terms in 118 + z**3 - 46 - 2*z**3 + 0*z**3 - 59 - 119.
-z**3 - 106
Collect the terms in -84997*j + 167304*j - 85484*j.
-3177*j
Collect the terms in -3 + 31*d - 31*d + 39126*d**2.
39126*d**2 - 3
Collect the terms in -3106*p**2 + 9724*p**2 - 3088*p**2 - 3493*p**2.
37*p**2
Collect the terms in 23 - 28 - 27 - 28 - 65*c + 80 - 20.
-65*c
Collect the terms in 21*g + 7*g**3 - 24*g - 15*g**3 + 3 + 2*g**3 - 13*g**3.
-19*g**3 - 3*g + 3
Collect the terms in x**3 + 35*x**2 + 0*x**3 - 85185*x - 85190*x + 170375*x - 35*x**2.
x**3
Collect the terms in -1114*k + 276*k + 166*k - 706*k.
-1378*k
Collect the terms in 5*a + 12*a - 19 + 2 - 2*a - 4*a + 16.
11*a - 1
Collect the terms in 18170146*q**2 + 3*q**3 - 6*q**3 + 18170154*q**2 - 36340300*q**2.
-3*q**3
Collect the terms in 12*a**3 - 5*a**2 + 11*a**2 - 3*a**2 + 150 - 6*a**3.
6*a**3 + 3*a**2 + 150
Collect the terms in 15 + 18 - 13232*k**2 - 2435*k**2 - 34 - 8*k.
-15667*k**2 - 8*k - 1
Collect the terms in -23 - 124373*p + 47 - 24 + 124364*p.
-9*p
Collect the terms in 28023*f**3 + 15023*f**3 - 14508*f**3.
28538*f**3
Collect the terms in -351*q**2 - 87 - 7589*q**2 - 82 + 169.
-7940*q**2
Collect the terms in 4*k**3 - 145*k + 13*k**2 - 2*k**3 - 519*k.
2*k**3 + 13*k**2 - 664*k
Collect the terms in 549764*s**2 + 549756*s**2 - 1649257*s**2 + 549763*s**2.
26*s**2
Collect the terms in 605*i - 1884*i - 3100*i.
-4379*i
Collect the terms in 191382 - 191345 + 1041*g**2 - 1040*g**2.
g**2 + 37
Collect the terms in -9632*w**2 + 9632*w**2 - 1 + 406*w**3.
406*w**3 - 1
Collect the terms in 25*v - 6*v - 13*v - 6*v - 4258*v**2.
-4258*v**2
Collect the terms in -3030*h**2 - 43 + 87 - 44 + 1518*h**2 + 1534*h**2.
22*h**2
Collect the terms in 12310*d - 33 + 36 - 3.
12310*d
Collect the terms in 1153*l**2 + 1152*l**2 - 4615*l**2 - 2*l**3 + 1157*l**2 + 1152*l**2 - 3*l**3.
-5*l**3 - l**2
Collect the terms in 134*h - 45*h - 47*h - 1041 - 4505 - 44*h.
-2*h - 5546
Collect the terms in -7 - 484*g + 14 - 530*g - 4.
-1014*g + 3
Collect the terms in -134*s**2 + 3 - 18775*s**3 - 5 + 134*s**2.
-18775*s**3 - 2
Collect the terms in -81*p**3 + 70*p**2 - 3 + 171*p**3 - 1247*p**2 - 88*p**3 - 277*p**2.
2*p**3 - 1454*p**2 - 3
Collect the terms in 2680*k**2 + 8144*k**2 + 1463*k**2.
12287*k**2
Collect the terms in 7 + 112929*s - 7 + 7 - 320752*s.
-207823*s + 7
Collect the terms in 670*c + 479*c - 2*c**2 - 1818*c - 4*c**2 + 2*c**2 + 669*c.
-4*c**2
Collect the terms in -15362 + 33306 + 5*k**2 - 4*k**2 - 17944.
k**2
Collect the terms in -457247*j**2 + 228548*j**2 + 228592*j**2.
-107*j**2
Collect the terms in t**2 - t**2 + 6367*t**3 + 18216*t**3.
24583*t**3
Collect the terms in 45575 - 12*v**3 + v + 45510 - v + 0*v - 91085.
-12*v**3
Collect the terms in 40622*c + 40615*c + 40623*c + 40628*c - 162483*c.
5*c
Collect the terms in -1472*h**3 + 796*h**3 - 768*h**3.
-1444*h**3
Collect the terms in 2201*l**2 - 2201*l**2 - 458593*l**3.
-458593*l**3
Collect the terms in 28403*h + 1780*h + 15021*h - 7851*h.
37353*h
Collect the terms in -353*x - 197*x - 34*x - 189*x.
-773*x
Collect the terms in 55*k + 2 - 35*k + 25*k + 27*k + 33*k + 28*k.
133*k + 2
Collect the terms in 118*w**3 + w - 46*w**3 - 20*w**3 + 7*w.
52*w**3 + 8*w
Collect the terms in -547 + 553 - 6 - 870*q**2.
-870*q**2
Collect the terms in 2 - 482*f + 145*f + 150*f + 171*f.
-16*f + 2
Collect the terms in 2*c - 95 - 19777*c**2 + 9903*c**2 + 9891*c**2.
17*c**2 + 2*c - 95
Collect the terms in -76 - 701*b**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -8*r = -12*r + 1296. Suppose 0*j = 6*j - r. Let i = j + -51. Solve -i*d + 5*d - 10 = 0 for d.
5
Let z be 1620/84 - 19 - 108/(-14). Solve 110 = 14*v + z*v for v.
5
Suppose -96*m = -7966 + 3450 - 27548. Solve m*y = 345*y + 88 for y.
-8
Let t be ((-1)/2*2)/(7/49). Let x(k) = -2*k**3 - 15*k**2 - 10*k - 19. Let o be x(t). Solve -18*h = -20*h - o for h.
-1
Suppose 0 = l + 5*x - 44, 0 = -3*l - 0*l - 2*x + 67. Suppose 10*y - 51 - l = 0. Let o be y/(-28) + (-18)/(-8). Solve 0 = -u + o + 2 for u.
4
Let m = 4547 - 3605. Solve 4*y + m - 930 = 0 for y.
-3
Let l be (((-4380)/(-18))/10 + -3)*(-9)/(-4). Solve -l*b = -22*b - 26 for b.
1
Let d = 567 - 621. Let c be 1/(5 + 267/d). Solve -21*r + 3 = -c*r for r.
1
Suppose -5 = -s - 4*z + 2, -3*z = -s - 21. Let p be s/6*40/(-30). Solve -p*m = -5*m + 3 for m.
1
Suppose 3*s + 4*u + 3 - 20 = 0, -19 = -3*s - 5*u. Suppose -5*w + 3*n = -3, 0 = w + 3*n - 5 - 10. Solve w*r - s = -9 for r.
-2
Let v be (-10)/2*5/10*-2. Suppose -3*m + 64 = v*m. Solve -u + m = u for u.
4
Suppose -5*q = -2*h, -h = 4*h + 3*q. Suppose h = -o - r + 1, r + 9 = o. Let c be o - (3 - 2)*2. Solve -c = 5*p - 13 for p.
2
Let r be (-1474)/(-154) - (-4)/(-7). Suppose -60 = r*n - 204. Solve 4*p + n = 8 for p.
-2
Let w(x) = x**2 - 5*x - 4. Let z be w(6). Let v be (-15120)/196 + (-1)/(-7). Let s be (1/(-2))/((v/168)/11). Solve z*u = -u + s for u.
4
Let b(j) = j + 1. Let p(h) = -14. Let q(m) = -2*b(m) - p(m). Let f be q(6). Solve f = -2*o - 6 - 0 for o.
-3
Let d = -131611 + 131614. Let y(n) = -n**3 - 3*n**2 + 8*n + 4. Let r be y(-5). Solve 0 = d*p - 17 + r for p.
1
Let u = -26406 - -26431. Solve -20 = u*o - 35*o for o.
2
Let w(q) = -q**2 + 14*q + 41. Suppose -112 = 105*t - 112*t. Let v be w(t). Solve -1 + 19 = v*y for y.
2
Let o(q) = -11*q - 389. Let i be o(-36). Solve 45 = -26*t - i for t.
-2
Let c = -171 + 243. Let h = 72 - c. Suppose 9*f - 42 = -15. Solve -f*z - 11 + 2 = h for z.
-3
Let d = -49 + -52. Let p = -97 - d. Solve -x + 3*x = -p for x.
-2
Suppose -140 = -12*a + 11*a - 2*v, 24*a = 3*v + 3462. Solve -5*d - a + 129 = 0 for d.
-3
Let z be (-2 - 75/(-35)) + (-1446)/(-21). Solve -29 = 14*b + z for b.
-7
Let v(z) = -z**3 - 7*z**2 - 2*z. Let s(m) = -m**3 - 4*m**2 - m. Let l(c) = -7*s(c) + 4*v(c). Let k be l(1). Let q = 19408 - 19381. Solve -q + k = -5*t for t.
5
Let v(f) = f**3 - 8*f**2 - 92*f + 753. Let d be v(8). Solve d*h = 21*h + 20 for h.
-5
Let h(w) = -w**2 + 12*w - 7. Let p be h(9). Let b be (-47)/(-7) + p/70. Let f(r) = r**3 - 8*r**2 + 7*r + 6. Let c be f(b). Solve 2*k + 12 = c*k for k.
3
Let l be 178/(-15) + 32/(-240). Let k(z) = 5*z + 69. Let h be k(l). Solve h = 3*r - 0*r for r.
3
Let m be (4/(-3))/(40/60) - -2. Let j be 1*13 - (-16 - m)/(-8). Solve 3*f + 4 = -j for f.
-5
Suppose 9*j = -27947 + 28019. Let y be ((-2)/4 + 0)*-8. Solve -j*i = -4*i + y for i.
-1
Suppose 18*t - 15*t = -3. Let o be t*11*14/(-77). Solve -4*d - o = -10 for d.
2
Let w(j) = -19*j + 59. Let a(l) = -l + 17. Let r be a(14). Let d be w(r). Solve 14 - d = -6*h for h.
-2
Suppose r - 12 = -8. Let k be r/(-22) - (-4)/22. Let w = -185 - -201. Solve 4*p + w = -k*p for p.
-4
Let w be (-1)/4*2 - 131/(-2). Suppose 97 = 18*l - w. Solve d + 8 = l*d for d.
1
Let u(f) = -3*f**2 + 423*f + 1464. Let r be u(142). Solve -r = -2*k - 1046 for k.
-4
Let n = 36 - 34. Suppose -3*h = 3*c - 27, 19 = n*c - 3*h - 4. Let o be ((-14)/c)/(7/(-35)). Solve -5*i - 2 = -o for i.
1
Let o = 220 - 43. Let g = -175 + o. Solve 0 = -0*n + g*n for n.
0
Suppose -33*n = -53*n - 220. Let a(h) = h**2 + 9*h - 20. Let p be a(n). Solve -d + p = d for d.
1
Suppose 2*i - 80 = 5*d - 61, i + 4*d - 3 = 0. Let s = 7 - 2. Solve i*o - 4 = s*o for o.
2
Let s be 34 + (20 + -14 - 20). Solve -s*a = -51*a - 124 for a.
-4
Suppose -125*c - 14 = -127*c. Let h = c + 6. Solve -5*q = h + 12 for q.
-5
Let p(a) = -1 - 6*a**2 - 9*a - 14 - 8*a**2 + a**3 + 4*a**2. Suppose 2*b - 10 = 2*l - 28, 2*l = -5*b + 32. Let y be p(l). Solve 2*i = -3 - y for i.
-5
Let b(c) = 2*c**2 - 8*c - 12. Let s(h) = -h - 1. Let k be s(-8). Let a be b(k). Suppose 0 = -7*o + 12 + a. Solve 2*r + 20 = o*r for r.
5
Suppose -8 = v - 2*v + 3*b, 4*v - b - 10 = 0. Suppose 0 = -2*f - 4*k + 12, -v*k + 13 - 43 = -5*f. Solve d = f*d + 20 for d.
-4
Let l = 32295 + -32287. Solve -l*c + 21 = 77 for c.
-7
Suppose -3992 + 728 = -7*f - 27*f. Solve 82*o - 66*o = f for o.
6
Let i = -4 - -9. Let n = 8465 - 8452. Solve 0 = -n*o + 14*o - i for o.
5
Let n(p) = p**2 + 78*p + 1402. Let x be n(-51). Suppose 5*f - 3*b = 116, f - 13 = -0*b + 4*b. Let o = f - x. Solve -4*w = -o*w - 8 for w.
2
Let t = -2179 + 2183. Suppose 0 = -2*d + 5*d. Let c be (d - 0/1)/1. Solve -m = -c*m - t for m.
4
Suppose 43*w - 127*w + 2520 = 0. Solve -9*m = -75 + w for m.
5
Let i = 284 - 282. Let o(s) = -s**3 + 10*s**2 - 21*s - 12. Let n be o(4). Let d = -1 - -5. Solve d*h - i + 22 = n for h.
-5
Let x(v) be the first derivative of 7*v**3/3 - 21*v**2 + v - 15. Let s be x(6). Solve 2*a + s = a for a.
-1
Suppose -2*n + 6 = v - 0, 3*v + 12 = 4*n. Suppose 5*z + j + 20 = -v*z, z + 23 = -4*j. Let y be z/((-45)/6) + (-115)/(-25). Solve 0 = -2*h - 13 + y for h.
-4
Suppose 4*l - 148*i = -145*i + 56, -4*l = -5*i - 48. Solve -51 = l*s - 17 for s.
-2
Let q be (15*(-6)/(-8))/(6/16). Let g be q/(-5) - -6 - -6. Solve g*l = 14*l + 16 for l.
-2
Suppose -4*j - 4*o = -9 - 19, j = -3*o + 9. Let i = 5 + -2. Suppose -i*u = -u. Solve u*n - 2*n = j for n.
-3
Let w(k) = 5*k + 9*k + 110 - 48 - 45 - 40. Let b be w(3). Solve b*n - 14*n = 0 for n.
0
Suppose -3*y - 2*g = 16 - 51, 3*y - 2*g - 19 = 0. Suppose -2*z + 10 - 16 = -2*q, -5*z - y = -3*q. Solve z = -2*v + 1 + 9 for v.
5
Suppose 0*y = 28*y - 18760. Let z = y - 665. Solve -12 = -z*l - 22 for l.
-2
Suppose -404*m = -393*m - 462. Solve -3*y + m = -17*y for y.
-3
Suppose 1437 + 5888 + 415 = 258*c. Solve -41*d = 317 - c for d.
-7
Suppose 0 = -17*g + 16*g + 3. Let w be -13 + 16 + 1 + g. Suppose -2*q = w - 13. Solve 13 = -4*b - q for b.
-4
Let f = 158 + -58. Suppose -96*k + f*k - 104 = 0. Solve 30*s = k*s + 16 for s.
4
Let g(h) = 24*h - 11 - 51*h + 23*h. Let q be g(-4). Suppose -q*x + 2*w + 36 = 0, -5*x - 4*w + 33 = -5*w. Solve -4*o + 2 = -x for o.
2
Let w be (-128)/48*(-24)/1. Suppose -21*a - v = -16*a - 56, 4*a - 4*v = w. Solve 5*j - a = 3 for j.
3
Suppose -160 = -130*z + 6470. Solve z*q + 12 = 55*q for q.
3
Suppose -6*x = -d - 4*x + 621, -x - 1873 = -3*d. Let y = 634 - d. Solve -u = y*u + 40 for u.
-4
Let c = 6380 - 6338. Solve -46*f + 8 = -c*f for f.
2
Let n = -82 - -108. Suppose 4*t = -4*f - 24, -3*f - n + 10 = 4*t. Let y be 2 - f/36 - 4/18. Solve 5 = y*k - 3 for k.
4
Suppose 7 = -7*b - 49. Let m be 16 - (174/45 - b/60). Solve 0 = m*i - 16*i for i.
0
Suppose -4*x - 168 = 2*x. Let v be 40/140 + 5/7 + x. Let l be (-6)/v - (-14)/(-63). Solve l*k = 5*k - 25 for k.
5
Let q = -842 - -844. Suppose 187 - 21 = 3*x + q*v, 4*x - 236 = v. Solve x = -3*g + 49 for g.
-3
Suppose -11*m + 991 = -10. Suppose -21*r = -34*r + m. Solve 2*f = r*f for f.
0
Let j be (-60)/(-110) - 13777/(-253). Solve -24*u - 124 = -j*u for u.
4
Suppose 0 = 175*c - 187*c + 1440. Solve -26*m + 2*m = -c for m.
5
Let d = 32 - 17. Let g be (36/d)/(6/105). Suppose 0 = 41*w - g*w. Solve w = -3*c + 10 - 1 for c.
3
Let h(u) = u**3 + 7*u**2 + 8*u + 2. Let j be h(-5). Suppose -17*v + 29 = j. Solve 5 - v = l for l.
4
Suppose -1275 = -5*r + 5*i, 17*r = 22*r + i - 1281. Solve 0 = 4*g + 264 - r for g.
-2
Suppose 0 = -x - c - 3, 15*c + 1 = -2*x + 14*c. Suppose 3*v - 42 = -x*k, 0 = 43*v - 42*v + 4. Solve k*p - 4 = 25*p for p.
2
Let w(x) = x**3 + 8*x**2 + 12*x + 35. Let r be w(-7). Solve -30*z + 10 + 20 = r for z.
1
Suppose 77 - 212 = -5*m. Let d be 2/2 + m/(-18)*-2. Solve -u = -3*u + d for u.
2
Let v = -16132 - -16136. Solve -v*c + 49 = 61 for c.
-3
Suppose 0 = 4*q - 16 - 12. Let n be (-675)/2025 + (1*-1)/(-3). Suppose v + 4*m = -q - n, m = 3*v - 5. Solve -w = -0*w - v for w.
1
Suppose 11 = s + 3*i + 10, -14 = -2*s - 3*i. Let q(n) = -n**2 + 7*n + 100. Let f be q(s). Solve f = d + 18 for d.
4
Suppose -54*x = -53*x + 4. Let h be (-10)/x*(-402)/(-335). Solve 0 = -h*a + 1 + 11 for a.
4
Let g = -1 - -97. Let n be (g/40)/(3*2/10). Solve 0 = -b - n*b + 25 for b.
5
Let p(x) = 21*x**2 + 499*x - 38. Let j be p(-24). Solve -66 = -8*g - j for g.
-2
Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
term of -14, -16, -20, -26, -34, -44?
-x**2 + x - 14
What is the v'th term of 357, 358, 359, 360, 361?
v + 356
What is the l'th term of 15, 42, 115, 258, 495, 850, 1347?
4*l**3 - l**2 + 2*l + 10
What is the f'th term of -45, -55, -65, -75, -85?
-10*f - 35
What is the h'th term of 1478, 2956, 4434, 5912?
1478*h
What is the h'th term of 39, 70, 125, 216, 355, 554?
2*h**3 + 17*h + 20
What is the n'th term of 5, -17, -69, -163, -311?
-2*n**3 - 3*n**2 + n + 9
What is the t'th term of -373, -356, -327, -286, -233?
6*t**2 - t - 378
What is the a'th term of 27, 18, 3, -18, -45, -78?
-3*a**2 + 30
What is the a'th term of 740, 751, 766, 785?
2*a**2 + 5*a + 733
What is the f'th term of 29, 62, 97, 134, 173?
f**2 + 30*f - 2
What is the g'th term of 23187, 23189, 23193, 23199, 23207, 23217, 23229?
g**2 - g + 23187
What is the d'th term of 67, 110, 149, 178, 191?
-d**3 + 4*d**2 + 38*d + 26
What is the s'th term of 12, 72, 230, 534, 1032?
8*s**3 + s**2 + s + 2
What is the u'th term of -37, -70, -101, -130, -157, -182?
u**2 - 36*u - 2
What is the g'th term of -91, -90, -89?
g - 92
What is the i'th term of 9066, 9065, 9064, 9063, 9062, 9061?
-i + 9067
What is the p'th term of -455, -1774, -3963, -7016, -10927, -15690?
p**3 - 441*p**2 - 3*p - 12
What is the o'th term of 116, 446, 990, 1742, 2696, 3846, 5186?
-o**3 + 113*o**2 - 2*o + 6
What is the y'th term of 194, 202, 214, 230, 250, 274?
2*y**2 + 2*y + 190
What is the q'th term of 167, 176, 205, 260, 347?
q**3 + 4*q**2 - 10*q + 172
What is the o'th term of 22, 15, 10, 7, 6?
o**2 - 10*o + 31
What is the n'th term of -77, -151, -225, -299, -373?
-74*n - 3
What is the o'th term of -24, -40, -68, -108?
-6*o**2 + 2*o - 20
What is the s'th term of -96, -378, -848, -1506, -2352?
-94*s**2 - 2
What is the s'th term of 61, 144, 289, 502, 789, 1156, 1609?
s**3 + 25*s**2 + s + 34
What is the y'th term of -84, -76, -66, -54?
y**2 + 5*y - 90
What is the v'th term of -88, -177, -254, -313, -348, -353, -322, -249?
v**3 - 96*v + 7
What is the a'th term of 100, 185, 270, 355?
85*a + 15
What is the i'th term of 96, 98, 100, 102, 104, 106?
2*i + 94
What is the a'th term of -137, -153, -169, -185?
-16*a - 121
What is the m'th term of 7, 7, -9, -53, -137?
-2*m**3 + 4*m**2 + 2*m + 3
What is the k'th term of 47, 103, 165, 233, 307, 387, 473?
3*k**2 + 47*k - 3
What is the o'th term of -893, -891, -887, -881, -873?
o**2 - o - 893
What is the z'th term of -108, -176, -244, -312, -380?
-68*z - 40
What is the f'th term of 1142, 2289, 3436, 4583, 5730?
1147*f - 5
What is the o'th term of 168, 335, 502, 669, 836, 1003?
167*o + 1
What is the t'th term of -14, -166, -572, -1358, -2650, -4574?
-21*t**3 - t**2 - 2*t + 10
What is the r'th term of -96, -111, -112, -93, -48?
r**3 + r**2 - 25*r - 73
What is the h'th term of 37, 47, 57, 67?
10*h + 27
What is the v'th term of -51, -99, -145, -189, -231?
v**2 - 51*v - 1
What is the p'th term of 329, 330, 331, 332, 333?
p + 328
What is the g'th term of 8, 70, 232, 548, 1072, 1858?
9*g**3 - 4*g**2 + 11*g - 8
What is the w'th term of -38, -35, -32?
3*w - 41
What is the o'th term of -411, -737, -1051, -1347, -1619, -1861?
o**3 - 333*o - 79
What is the v'th term of 769, 1556, 2343, 3130, 3917, 4704?
787*v - 18
What is the t'th term of -13, 16, 101, 272, 559?
5*t**3 - 2*t**2 - 16
What is the z'th term of -65, -62, -57, -50, -41, -30?
z**2 - 66
What is the m'th term of -222, -448, -678, -912, -1150, -1392, -1638?
-2*m**2 - 220*m
What is the r'th term of 2, 74, 184, 326, 494, 682?
-r**3 + 25*r**2 + 4*r - 26
What is the t'th term of -1467, -1465, -1463, -1461, -1459?
2*t - 1469
What is the q'th term of 1253, 1248, 1243, 1238, 1233, 1228?
-5*q + 1258
What is the r'th term of -8, -53, -96, -137, -176, -213, -248?
r**2 - 48*r + 39
What is the h'th term of 20, 21, 30, 53, 96?
h**3 - 2*h**2 + 21
What is the g'th term of 0, -81, -300, -723, -1416, -2445?
-11*g**3 - 3*g**2 + 5*g + 9
What is the w'th term of -22, -37, -62, -97, -142, -197, -262?
-5*w**2 - 17
What is the q'th term of -24, -11, 4, 21, 40, 61, 84?
q**2 + 10*q - 35
What is the k'th term of -38, -30, -20, -8?
k**2 + 5*k - 44
What is the t'th term of -43, -84, -127, -172, -219, -268?
-t**2 - 38*t - 4
What is the l'th term of -81, -145, -191, -213, -205, -161, -75, 59?
l**3 + 3*l**2 - 80*l - 5
What is the r'th term of 65, 71, 79, 89, 101, 115, 131?
r**2 + 3*r + 61
What is the f'th term of -431, -867, -1313, -1775, -2259, -2771?
-f**3 + f**2 - 432*f + 1
What is the f'th term of 134, 135, 136, 137?
f + 133
What is the j'th term of 158, 157, 156, 155, 154, 153?
-j + 159
What is the o'th term of 162, 318, 474, 630?
156*o + 6
What is the k'th term of 54, 120, 230, 384, 582, 824, 1110?
22*k**2 + 32
What is the v'th term of -7, -23, -37, -49, -59?
v**2 - 19*v + 11
What is the g'th term of 177, 179, 181, 183, 185, 187?
2*g + 175
What is the f'th term of -395, -401, -427, -485, -587?
-2*f**3 + 2*f**2 + 2*f - 397
What is the p'th term of 82, 81, 80?
-p + 83
What is the t'th term of 36, 43, 54, 69?
2*t**2 + t + 33
What is the m'th term of -527, -523, -515, -503?
2*m**2 - 2*m - 527
What is the a'th term of 75, 41, -31, -159, -361, -655?
-3*a**3 - a**2 - 10*a + 89
What is the c'th term of 86, 157, 206, 221, 190, 101, -58, -299?
-2*c**3 + c**2 + 82*c + 5
What is the t'th term of 528, 529, 530, 531, 532?
t + 527
What is the t'th term of -33, -25, -17?
8*t - 41
What is the t'th term of -253, -251, -249, -247, -245, -243?
2*t - 255
What is the x'th term of -3, -2, -15, -48, -107, -198, -327, -500?
-x**3 - x**2 + 11*x - 12
What is the o'th term of -109, -183, -291, -451, -681?
-3*o**3 + o**2 - 56*o - 51
What is the p'th term of 1085, 2163, 3243, 4331, 5433, 6555?
p**3 - 5*p**2 + 1086*p + 3
What is the w'th term of 9, 1, -13, -33, -59?
-3*w**2 + w + 11
What is the u'th term of -7, 16, 63, 146, 277?
2*u**3 + 9*u - 18
What is the c'th term of 26, 238, 804, 1898, 3694, 6366, 10088?
29*c**3 + 3*c**2 - 6
What is the z'th term of 90, 184, 288, 408, 550, 720?
z**3 - z**2 + 90*z
What is the a'th term of -145, -289, -431, -571?
a**2 - 147*a + 1
What is the w'th term of 1864, 1868, 1884, 1918, 1976, 2064?
w**3 - 3*w + 1866
What is the y'th term of -277, -541, -803, -1063, -1321, -1577, -1831?
y**2 - 267*y - 11
What is the b'th term of 48, 38, 22, 0?
-3*b**2 - b + 52
What is the h'th term of 124, 144, 170, 202?
3*h**2 + 11*h + 110
What is the i'th term of -537, -544, -555, -570, -589, -612, -639?
-2*i**2 - i - 534
What is the p'th term of -757, -754, -751, -748, -745?
3*p - 760
What is the d'th term of -4, 12, 38, 74, 120, 176?
5*d**2 + d - 10
What is the j'th term of 483, 492, 503, 516, 531, 548, 567?
j**2 + 6*j + 476
What is the s'th term of 140, 171, 250, 401, 648, 1015?
4*s**3 + 3*s + 133
What is the f'th term of -33, -22, -5, 18?
3*f**2 + 2*f - 38
What is the g'th term of 582, 1167, 1752, 2337?
585*g - 3
What is the s'th term of -154, -174, -212, -274, -366, -494, -664, -882?
-s**3 - 3*s**2 - 4*s - 146
What is the z'th term of 1, 10, 11, -8, -59, -154?
-2*z**3 + 8*z**2 - z - 4
What is the w'th term of -15, -31, -67, -129, -223, -355, -531, -757?
-w**3 - 4*w**2 + 3*w - 13
What is the m'th term of 0, -47, -142, -291, -500, -775?
-m**3 - 18*m**2 + 14*m + 5
What is the n'th term of -531, -543, -577, -645, -759, -931, -1173, -1497?
-2*n**3 + n**2 - n - 529
What is the x'th term of 487, 969, 1449, 1927, 2403, 2877?
-x**2 + 485*x + 3
What is the w'th term of -548, -550, -552?
-2*w - 546
What is the p'th term of 2967, 2967, 2965, 2961?
-p**2 + 3*p + 2965
What is the r'th term of 107, 105, 101, 95, 87?
-r**2 + r + 107
What is the x'th term of -24, -63, -106, -153?
-2*x**2 - 33*x + 11
What is the s'th term of -50, -101, -152, -203, -254?
-51*s + 1
What is the c'th term of 135, 259, 345, 375, 331, 195?
-3*c**3 - c**2 + 148*c - 9
What is the y'th term of 886, 1772, 2658, 3544, 4430?
886*y
What is the g'th term of -213, -207, -199, -189?
g**2 + 3*g - 217
What is the u'th term of -1187, -2373, -3559, -4745?
-1186*u - 1
What is the t'th term of -25, -28, -9, 44, 143, 300?
2*t**3 - t**2 - 14*t - 12
What is the z'th term of -10, -12, -14, -16, -18?
-2*z - 8
What is the v'th term of 2, -13, -46, -103, -190, -313, -478?
-v**3 - 3*v**2 + v + 5
What is the j'th term of 511, 500, 473, 424, 347, 236
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7*r**2 + 7*r + 7. Calculate -7*h(t) + 2*k(t).
-t**3
Let d(k) = k - 6. Let q(r) = -r + 13. Determine 13*d(b) + 6*q(b).
7*b
Let f(q) = q + 4. Let j(k) = 22 - k - 17 + 2*k. Give 3*f(p) - 2*j(p).
p + 2
Let p(a) = -a**3 + 7*a**2 + 19*a - 12. Let y be p(9). Let u(f) = -f - 3. Let s(v) = -v - 2. Determine y*u(z) + 5*s(z).
-2*z - 1
Let f(n) = -n**3 + 6*n - 6. Let o(h) = -5*h**3 + 35*h - 35. What is -35*f(a) + 6*o(a)?
5*a**3
Let b(y) be the first derivative of -7*y**4/4 + 7*y**3/3 - 2*y - 27. Let i(m) = 6*m**3 - 6*m**2 + 1. Give 4*b(c) + 5*i(c).
2*c**3 - 2*c**2 - 3
Let a(h) = 4*h**3 - 13*h**2 + 9*h. Let w = 36 - 33. Let x(v) be the first derivative of -v**2 - 1/4*v**4 + 0*v + v**w + 3. Calculate -2*a(u) - 9*x(u).
u**3 - u**2
Suppose 0 = -3*g - 6 + 36. Let r be -5 + 4 - (2 - g). Let k(l) = 5*l**2 + 6. Let t(o) = 7 - o**2 + 4*o**2 + 3*o**2. Determine r*k(y) - 6*t(y).
-y**2
Let i = 1 - -11. Suppose 0 = -4*y - 8 - i. Let f(g) = -g + 7 + 2*g - 5*g. Let j(h) = -h + 1. Determine y*j(t) + f(t).
t + 2
Let d(c) = -3*c + 7. Let f(o) = -1. Let h(k) = -d(k) - 3*f(k). Let g(y) = -1. What is -4*g(z) + h(z)?
3*z
Let x = -14 + 6. Let t(c) = 4*c - 5. Let u(j) be the third derivative of 4/3*j**3 + 0*j - 1/4*j**4 + 3*j**2 + 0. What is x*t(y) - 5*u(y)?
-2*y
Let s(c) be the third derivative of -c**5/30 - 3*c**4/8 - c**3/6 - 7*c**2. Let h(y) = -y**2 - 5*y - 1. What is 5*h(t) - 3*s(t)?
t**2 + 2*t - 2
Let c(n) = 6*n**2 - 4*n - 6. Let o(m) = m + 1. Calculate c(y) + 4*o(y).
6*y**2 - 2
Let p(w) = -3*w**2 - 4*w + 13. Let i = -117 - -112. Let r(c) = 2*c**2 + 3*c - 9. Calculate i*p(t) - 7*r(t).
t**2 - t - 2
Let s(d) be the first derivative of -d**2/2 + 3*d - 1. Let h(x) = -8*x + 15. Let k(i) = -4*i + 8. Let o(g) = 2*h(g) - 5*k(g). Determine -2*o(u) - 7*s(u).
-u - 1
Let v(d) = 3*d**3 + 3*d**2 + 5*d - 3. Let u(x) = -2*x + 0*x**3 + 1 - 7*x**3 + 6*x**3 - x**2. Calculate -5*u(l) - 2*v(l).
-l**3 - l**2 + 1
Suppose -13*s + 21*s = 88. Let m(x) = -4. Let f(p) = -p - 11. Calculate s*m(l) - 4*f(l).
4*l
Let z(c) = 4*c**2 - c - 4. Let f(p) = -5*p**2 + 2*p + 4. What is -2*f(a) - 3*z(a)?
-2*a**2 - a + 4
Let j(s) = 4*s**3 + 10*s - 32. Let h(x) = 3*x**3 + 7*x - 21. Give -7*h(w) + 5*j(w).
-w**3 + w - 13
Let z(v) = 5*v**3 + 5*v**2 - 6*v - 5. Let h(x) = -6*x**3 - 4*x**2 + 5*x + 4. Give 5*h(w) + 4*z(w).
-10*w**3 + w
Let p(l) = 5 + 9 + 0 - 13. Let z(u) be the second derivative of u**3/6 + 3*u**2/2 + 2*u. Let x be z(-4). Let n(m) = 2*m - 10. Calculate x*n(o) - 10*p(o).
-2*o
Let i(u) = 2*u**3 - 3*u**2 - 3*u - 3. Let s(c) be the first derivative of -3*c**4/4 + 5*c**3/3 + 5*c**2/2 + 5*c + 6. What is 10*i(d) + 6*s(d)?
2*d**3
Let h(o) = o**2 + 9*o. Let q(l) be the second derivative of l**3/3 - 11*l. What is 4*h(g) - 18*q(g)?
4*g**2
Let h(u) = u**2 - 7*u + 10. Let t(l) = 2*l**2 - 8*l + 10. Determine 3*h(w) - 2*t(w).
-w**2 - 5*w + 10
Let p(z) = -21*z + 7. Let s(t) = -14*t + 5. Determine 5*p(f) - 7*s(f).
-7*f
Let a(v) = 4*v**3 + 3*v**2 + 7*v. Let h(o) = 5*o**3 - 135*o**2 + 139*o**2 + 4*o + 4*o. Determine 6*a(t) - 5*h(t).
-t**3 - 2*t**2 + 2*t
Let o(z) = z**2 - z. Let n(s) = -4*s**2 - s - 1. What is -n(y) - 2*o(y)?
2*y**2 + 3*y + 1
Let m(a) = -9*a**2 + 7*a. Let w(j) = -7*j - j**2 + 2*j**2 + 10*j - 5*j**2. What is -3*m(r) + 7*w(r)?
-r**2
Let s(b) = -2*b**2 - 8*b - 2. Let z be s(-4). Let t(g) = -4*g**2 + 2*g - 1. Let p(y) = -21*y**2 + 11*y - 6. Give z*p(j) + 11*t(j).
-2*j**2 + 1
Let x(u) = 6*u**2 + 4*u + 4. Let t(s) = -6*s**2 - 5*s - 5. Give 3*t(j) + 4*x(j).
6*j**2 + j + 1
Let g(y) = -y**2 + 1. Let w(h) = -2*h**3 - 4*h**2 - 4. Determine -4*g(s) + w(s).
-2*s**3 - 8
Let j = 3 - -1. Let k(g) = -3*g + 4. Let p(w) = -1 - w + 2*w - 4 + 2*w. Give j*p(h) + 5*k(h).
-3*h
Let n(l) = -l. Let s(u) = -2*u - 3. Let t(o) = -o - 1. Let g(z) = 2*s(z) - 5*t(z). Determine -g(i) + n(i).
-2*i + 1
Let c(z) = -32*z**2 + 2*z. Let l(r) = 64*r**2 - 5*r. Determine -5*c(f) - 2*l(f).
32*f**2
Let z(g) be the first derivative of -4*g**3/3 + g**2 + 26. Let f(s) = -9*s**2 + 4*s. Calculate -2*f(d) + 5*z(d).
-2*d**2 + 2*d
Let q(z) = 2*z - 4. Let s(p) = -3*p + 3. Let c(i) = -i + 1. Let l(j) = -4*c(j) + s(j). What is -3*l(y) + q(y)?
-y - 1
Suppose 19 = -5*s + 3*f, 2*f = s - 2*f - 3. Let p(a) = -3. Let w(n) = 5. Let u(l) = 8*p(l) + 5*w(l). Let x(o) = -o + 3. Determine s*u(c) + 2*x(c).
-2*c + 1
Let s(r) = -r - 4. Let l(y) = y**2 - 4*y - 2. Let z be l(4). Let j(x) = -2*x - 5. Let d = -5 - -8. Determine d*s(a) + z*j(a).
a - 2
Let t(l) = -2*l - 9. Let y(v) = 4*v + 17. Let u(o) = 11*t(o) + 6*y(o). Let m(r) = 1. Give -2*m(i) + u(i).
2*i + 1
Let p(y) = -y + 1. Let c(t) = 2 - 4 + 1. Let l = 7 + -5. Suppose 2*i - 5*z - 22 = 0, 0*z - 7 = i + l*z. Determine i*c(k) + p(k).
-k
Let l(o) = 15*o - 13. Let g(z) = 7*z - 5 - 7 + 0 + 6. Let w(x) = 14*x - 12. Let a = 7 + -12. Let q(f) = a*g(f) + 2*w(f). Determine 6*l(j) + 13*q(j).
-j
Let p(c) be the third derivative of c**5/15 - c**4/6 + c**2. Let i(m) be the first derivative of -3*m**3 + 9*m**2/2 + m - 7. What is 2*i(r) + 5*p(r)?
2*r**2 - 2*r + 2
Let m(s) = 7*s - 7. Let j(f) be the first derivative of -1 - 11*f + 11/2*f**2. Let c = -9 + 14. What is c*j(v) - 8*m(v)?
-v + 1
Let g(u) = 14*u**2 + 6*u + 6. Let f(s) = s**2 + s + 1. What is 6*f(h) - g(h)?
-8*h**2
Let s(q) = -22 + 9*q**3 + 5*q - 15 - 4*q**2 + 39. Let x(r) = -5*r**3 + 2*r**2 - 3*r - 1. What is -3*s(c) - 5*x(c)?
-2*c**3 + 2*c**2 - 1
Let f(d) = d**3 + d**2 - d + 1. Suppose 76 - 31 = 9*c. Let q(x) = 3*x**3 + 2*x**2 - 2*x + 2. Determine c*q(g) - 10*f(g).
5*g**3
Let z(o) = -6*o**2 - 7. Let m(d) = 3*d**2 + 3. Determine -5*m(x) - 2*z(x).
-3*x**2 - 1
Let t(a) = -17*a**3 - 19*a + 5. Let o(z) = 8*z**3 + 9*z - 2. Determine 5*o(y) + 2*t(y).
6*y**3 + 7*y
Let i(r) = 4*r + 3. Let t(y) = 11*y + 5. Let q(a) = -10*a - 5. Let g(j) = -4*q(j) - 3*t(j). Give 6*g(u) - 10*i(u).
2*u
Let n(x) = -76*x. Let m(p) = -7*p. Let u = 13 + -45. What is u*m(b) + 3*n(b)?
-4*b
Let b(d) be the third derivative of 7*d**4/24 - d**3 - 3*d**2. Let w = -11 - -12. Let y(f) = f - 1. What is w*b(u) - 5*y(u)?
2*u - 1
Let a(r) = -13*r**2 + 1 - 4 + 0 - 13*r. Let z(h) = -2*h - 18. Let p be z(-14). Let v(c) = -p*c**2 - c - 3*c - 1 + 6*c**2. Determine -2*a(q) + 7*v(q).
-2*q**2 - 2*q - 1
Let p(t) = -t**2 - 9*t - 9. Let s be p(-6). Let k = s - 16. Let l(w) = -2 + 2*w + 3 + 0*w + 0. Let y(m) = 6*m + 4. Give k*l(v) + 2*y(v).
-2*v + 1
Let m be (6/(-4))/((-6)/16). Let j(f) = -5 - f**2 + 0*f**3 + 6*f**2 + 1 + 2*f + 3*f**3. Let w(q) = 4*q**3 + 6*q**2 + 3*q - 5. Give m*w(r) - 5*j(r).
r**3 - r**2 + 2*r
Let k(i) = -4*i - 11. Let b(j) = 3*j + 10. Calculate 5*b(r) + 4*k(r).
-r + 6
Let c(w) = 5*w**2 + 6*w + 2. Let v(y) = 0 - 3 - 7*y + 1 - 6*y**2. What is -7*c(k) - 6*v(k)?
k**2 - 2
Let p(b) = -1. Let q(r) = -1. Let x(u) = -3*p(u) + 4*q(u). Let t(i) = -i - 5. Suppose 2*l - 4*a - 33 = a, -5*a - 42 = -3*l. Give l*x(d) - 2*t(d).
2*d + 1
Suppose 5*c - 1 = 4. Let p(v) = -v**2 + 2*v + 6. Let x be p(0). Let z(a) = 2*a**3 - 8*a**2 - 6*a + 5. Let r(d) = d**2 + d - 1. Give c*z(w) + x*r(w).
2*w**3 - 2*w**2 - 1
Let m(t) = 2*t**2 + 3*t - 9. Let d(z) = -z**2 - 2*z + 5. Suppose v = -4 + 1. Give v*m(k) - 5*d(k).
-k**2 + k + 2
Let f(z) = -z - 8. Let y(n) = -8 - 12 + 19. Let v(a) = -5*a**2 + 1. Let c be v(1). Let x = c - -3. What is x*f(i) + 6*y(i)?
i + 2
Let m(t) = -t + 1. Let u(v) = 6*v + 5. Let z(x) = -5*m(x) + u(x). Let k(c) = 5*c. Calculate -13*k(n) + 6*z(n).
n
Let l(u) = -41*u + 2. Let d(v) = -40*v + 2. What is 4*d(k) - 3*l(k)?
-37*k + 2
Let b(x) = x + 1. Let z = 5 + -4. Let t(m) = m**2 + 2*m + 3. Give z*t(w) - 3*b(w).
w**2 - w
Let v(f) = 6*f. Let r = 13 - 21. Let n(z) be the third derivative of -z**4/24 - z**2. Let y be 1/(0 - (0 + 1)). Give r*n(w) + y*v(w).
2*w
Let f(k) = k - 5. Let t be f(6). Let v(s) = -s + 3 - 4 + 4 - t. Let g(o) = o - 2. Let y = -1 - 2. What is y*g(x) - 2*v(x)?
-x + 2
Let v(h) = 17*h**2 - 2*h. Let g(x) = -85*x**2 + 11*x. Determine 2*g(a) + 11*v(a).
17*a**2
Let c(j) be the second derivative of -j**3/6 - 2*j**2 - j. Let z be (-6)/15 - 3/5. Let m(i) be the third derivative of i**3/6 - 27*i**2. Give z*c(y) - 4*m(y).
y
Suppose 2*h + 5 = -4*v - 3, 8 = 3*h - 4*v. Let g(i) = -3 + 3*i**3 + i**2 + h - 4*i + 3*i - 5*i**3. Let y(k) = -k**2 - k + 1. Determine g(u) + y(u).
-2*u**3 - 2*u - 2
Let m(u) = -4*u + 1. Let x(c) = -c + 6.
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {l: 2, z: 1}?
2/3
Calculate prob of picking 2 g when two letters picked without replacement from gwgwwwgwgww.
6/55
Three letters picked without replacement from ccccrccccccccccccc. What is prob of picking 1 r and 2 c?
1/6
What is prob of picking 1 k and 1 j when two letters picked without replacement from kjsdsokd?
1/14
Calculate prob of picking 2 j when two letters picked without replacement from ujju.
1/6
Four letters picked without replacement from {b: 4, e: 7}. Give prob of picking 4 b.
1/330
What is prob of picking 4 t when four letters picked without replacement from ctccf?
0
What is prob of picking 2 t when two letters picked without replacement from bttt?
1/2
Three letters picked without replacement from {b: 4, w: 1, u: 2, m: 1, y: 2, r: 2}. What is prob of picking 1 y, 1 r, and 1 w?
1/55
What is prob of picking 3 u when three letters picked without replacement from {i: 5, p: 5, t: 2, b: 2, u: 5}?
10/969
What is prob of picking 2 a when two letters picked without replacement from uuzaiuuuauzz?
1/66
Calculate prob of picking 1 r, 1 l, and 2 f when four letters picked without replacement from lryljyfjfjyfjfjjwjyj.
4/1615
Four letters picked without replacement from {o: 5, z: 3}. What is prob of picking 1 o and 3 z?
1/14
Two letters picked without replacement from {r: 1, l: 1, s: 2}. What is prob of picking 1 r and 1 s?
1/3
Calculate prob of picking 1 n, 1 m, and 1 a when three letters picked without replacement from {n: 1, m: 9, z: 5, e: 2, a: 1}.
3/272
Four letters picked without replacement from {s: 5, i: 2}. What is prob of picking 4 s?
1/7
Calculate prob of picking 1 n and 1 u when two letters picked without replacement from uun.
2/3
Two letters picked without replacement from thqqbqttbt. Give prob of picking 1 q and 1 b.
2/15
Calculate prob of picking 3 u when three letters picked without replacement from ouuoqou.
1/35
Calculate prob of picking 1 p and 3 i when four letters picked without replacement from {o: 5, i: 7, p: 7}.
245/3876
Calculate prob of picking 4 a when four letters picked without replacement from alvllallallllalall.
1/612
Calculate prob of picking 2 e and 2 m when four letters picked without replacement from eamteeefm.
1/21
Calculate prob of picking 1 y and 1 b when two letters picked without replacement from ggkbgby.
2/21
What is prob of picking 2 a, 1 d, and 1 j when four letters picked without replacement from {a: 5, j: 1, t: 5, d: 3, f: 1}?
2/91
Calculate prob of picking 2 g when two letters picked without replacement from kkiggfgfqfg.
6/55
Two letters picked without replacement from {t: 7, n: 6}. Give prob of picking 1 t and 1 n.
7/13
Three letters picked without replacement from ouuuoooououu. Give prob of picking 1 u and 2 o.
9/22
Three letters picked without replacement from {q: 2, b: 4, p: 1, f: 1}. What is prob of picking 1 f, 1 q, and 1 b?
1/7
Three letters picked without replacement from {a: 1, r: 3, g: 1}. What is prob of picking 1 g and 2 r?
3/10
Three letters picked without replacement from {e: 12, a: 1, p: 7}. Give prob of picking 2 a and 1 e.
0
What is prob of picking 2 t when two letters picked without replacement from fafwmtmt?
1/28
Two letters picked without replacement from ugfwgrgg. What is prob of picking 1 f and 1 w?
1/28
Calculate prob of picking 2 o, 1 y, and 1 c when four letters picked without replacement from ycocywoocc.
4/35
Three letters picked without replacement from mmvvjvmmmjmmmgmjgmjj. Give prob of picking 3 j.
1/114
Two letters picked without replacement from llrnczzllzzrlcrz. What is prob of picking 1 c and 1 r?
1/20
What is prob of picking 1 w and 1 z when two letters picked without replacement from {y: 6, w: 4, d: 3, z: 4}?
2/17
Two letters picked without replacement from {d: 1, q: 1, j: 6, a: 3, k: 3}. Give prob of picking 2 k.
3/91
Four letters picked without replacement from swwsrsuszwwfsuwzzwu. Give prob of picking 3 z and 1 s.
5/3876
Four letters picked without replacement from {d: 6, q: 4}. What is prob of picking 3 d and 1 q?
8/21
Two letters picked without replacement from {t: 1, z: 1, d: 2, w: 1, m: 2}. Give prob of picking 2 d.
1/21
What is prob of picking 1 g and 1 k when two letters picked without replacement from mmgiilmkiiiigiliiig?
1/57
Four letters picked without replacement from {f: 4, z: 3, u: 5, w: 1, n: 1, v: 4}. Give prob of picking 2 u and 2 z.
1/102
What is prob of picking 1 o and 2 k when three letters picked without replacement from koqok?
1/5
Calculate prob of picking 2 b when two letters picked without replacement from bbbcbccccbbc.
5/22
Three letters picked without replacement from dqdyyqdddy. Give prob of picking 2 y and 1 d.
1/8
Two letters picked without replacement from {r: 3, y: 3, u: 5, m: 2}. What is prob of picking 2 m?
1/78
Three letters picked without replacement from {y: 4, k: 10, v: 2}. Give prob of picking 2 v and 1 y.
1/140
What is prob of picking 1 c, 1 z, and 2 v when four letters picked without replacement from vuzvdzzuccuccu?
12/1001
Four letters picked without replacement from zrnanzagzzzaraazha. Give prob of picking 1 n and 3 a.
2/153
Two letters picked without replacement from {m: 5, u: 2, e: 6}. What is prob of picking 1 e and 1 u?
2/13
Two letters picked without replacement from ohhihuhkknuhn. What is prob of picking 1 n and 1 i?
1/39
Three letters picked without replacement from {o: 6, n: 3, r: 2, e: 1, m: 2, h: 1}. What is prob of picking 2 m and 1 e?
1/455
Three letters picked without replacement from {z: 3, f: 2, b: 3}. Give prob of picking 2 f and 1 z.
3/56
Three letters picked without replacement from {o: 2, c: 9, f: 1, e: 3, a: 4}. What is prob of picking 3 a?
4/969
Two letters picked without replacement from {s: 1, m: 1, i: 9, g: 1}. What is prob of picking 1 i and 1 m?
3/22
Three letters picked without replacement from {s: 3, f: 2, e: 1, k: 4, v: 2}. Give prob of picking 3 s.
1/220
Calculate prob of picking 2 e when two letters picked without replacement from {e: 6, m: 4, f: 1}.
3/11
Two letters picked without replacement from {m: 11, a: 2}. What is prob of picking 2 a?
1/78
Calculate prob of picking 2 c and 2 w when four letters picked without replacement from {c: 2, u: 7, j: 3, w: 7}.
7/1292
Four letters picked without replacement from {f: 2, h: 1, n: 2, b: 1}. What is prob of picking 1 h and 3 f?
0
Calculate prob of picking 4 j when four letters picked without replacement from jjoojoojjjjjojjjoj.
11/68
Three letters picked without replacement from vvvvffffvvvff. What is prob of picking 2 v and 1 f?
63/143
Four letters picked without replacement from {v: 2, y: 1, t: 1, m: 2, d: 1, c: 2}. What is prob of picking 2 v, 1 t, and 1 m?
1/63
Four letters picked without replacement from cqaajgj. What is prob of picking 1 a, 1 j, 1 g, and 1 c?
4/35
What is prob of picking 2 a and 2 z when four letters picked without replacement from {z: 11, a: 6, k: 2}?
275/1292
Two letters picked without replacement from qccqo. What is prob of picking 2 q?
1/10
Two letters picked without replacement from {i: 4, y: 2, s: 2, b: 1}. Give prob of picking 1 i and 1 s.
2/9
Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {w: 3, n: 4, m: 1, j: 2, b: 1}.
4/55
Four letters picked without replacement from ddjvzpju. Give prob of picking 2 p and 2 v.
0
Three letters picked without replacement from rozzzhghrghh. Give prob of picking 1 g and 2 r.
1/110
What is prob of picking 1 d and 1 j when two letters picked without replacement from faffdfffjkfaaafadfea?
1/95
Calculate prob of picking 1 b, 1 j, and 1 s when three letters picked without replacement from siajbboo.
1/28
Four letters picked without replacement from {i: 4, t: 4, d: 6, k: 1}. What is prob of picking 1 k and 3 t?
4/1365
Three letters picked without replacement from xvnxxcxgcgxppxnxnpxx. Give prob of picking 1 v, 1 g, and 1 x.
3/190
Calculate prob of picking 2 j, 1 k, and 1 l when four letters picked without replacement from jujjlkjujjjk.
14/165
Four letters picked without replacement from {i: 1, n: 2, q: 1, t: 2, u: 1}. Give prob of picking 1 i, 1 q, and 2 n.
1/35
Calculate prob of picking 2 e and 1 v when three letters picked without replacement from {e: 3, v: 1}.
3/4
What is prob of picking 2 m when two letters picked without replacemen
|
{
"pile_set_name": "DM Mathematics"
}
|
What is -0.4 plus -3319248?
-3319248.4
What is 0.1 plus -441.371?
-441.271
What is -91984 - -4?
-91980
What is 3329 - 1?
3328
Calculate 602 - -157.2.
759.2
0.0125+-0.066
-0.0535
What is the distance between 49.18 and -5?
54.18
What is 5 less than -0.2577?
-5.2577
What is -483 - 0.03?
-483.03
Sum 47 and 21.
68
Calculate -2 - 191712.
-191714
Calculate -4 + -34.
-38
What is -78649 take away -0.2?
-78648.8
What is the distance between 246 and -424?
670
Subtract 2 from -8265.
-8267
-5 - -1.382964
-3.617036
Calculate -0.02 + -31484.
-31484.02
Put together 1.045 and 0.154.
1.199
What is -79594 minus -4?
-79590
What is 0.6 + 59302?
59302.6
What is -0.556 minus -0.052?
-0.504
Put together -4 and 0.437.
-3.563
What is 1378 - -5?
1383
Sum 0.2 and -0.646.
-0.446
117 + -30
87
What is 145.9 minus -1101?
1246.9
-3 + 25.01
22.01
0.3 - -658.43
658.73
What is -32 minus 16.99?
-48.99
Subtract -0.12 from 2.3.
2.42
Total of -20121 and -5.
-20126
What is -0.0327 take away 0.8?
-0.8327
-3 - 2194021
-2194024
What is -174 + 1957.8?
1783.8
What is 2202 less than 5.4?
-2196.6
What is -0.041 - -49?
48.959
-0.0157 + -0.06599
-0.08169
Calculate 0.5106 + 7.
7.5106
Calculate 128 + -25.
103
What is -0.0167 - -0.05?
0.0333
Add -0.050678 and 100.
99.949322
What is 4.0456 plus 0.2?
4.2456
What is the distance between -30.34 and -50.1?
19.76
What is -670.65 minus -2?
-668.65
What is 1.5 + 0.2084?
1.7084
What is -298 take away 0.04?
-298.04
Add 4 and -3.91095.
0.08905
What is -1.7 less than 285?
286.7
Sum 5 and 404.7.
409.7
-0.4 + 25652
25651.6
What is -51.27 - -0.27?
-51
What is 2 take away 469?
-467
30.28 - -103
133.28
What is the distance between 60784 and 0.3?
60783.7
Sum -0.02 and -719.
-719.02
Work out 0.031 + 17.
17.031
What is -122 + 0.053653?
-121.946347
Subtract 131.8849 from -1.
-132.8849
What is -24 plus 77?
53
Calculate 0.18 - 101.
-100.82
Put together 7523 and 1.
7524
10 - 101727
-101717
What is the distance between -11.218 and -0.2?
11.018
0.1505 + -4
-3.8495
What is -22284 minus 0.2?
-22284.2
-0.0839+1
0.9161
Calculate -2.335 - -0.1.
-2.235
Work out -0.07 + 9.7252.
9.6552
9 + -237
-228
Add 32.5906 and -0.1.
32.4906
What is -1.1 take away -218?
216.9
What is -0.1 take away 1783?
-1783.1
Calculate 0.03 - -341.8.
341.83
-1 + -68.6816
-69.6816
What is 0.15 take away 0.05?
0.1
8.479+-50
-41.521
What is 4.5718 + 0.5?
5.0718
What is 2 + 32.276?
34.276
What is -2968 take away -0.2?
-2967.8
Calculate -102 - 0.087.
-102.087
Calculate 5 + 582.
587
What is -0.06 - -79.68?
79.62
Calculate -1 + -227.
-228
Sum -0.1 and -393261.
-393261.1
What is -384732 minus -2?
-384730
Calculate -0.03915 - -0.1.
0.06085
Total of -0.07 and -289.9.
-289.97
What is -203 - -117?
-86
What is 16206 plus -0.11?
16205.89
Total of -1892 and 0.8.
-1891.2
What is -0.10851 - -63?
62.89149
Work out 165.4 + 3.
168.4
Work out 30.59 - 14.02.
16.57
Put together -1.8 and 1.092.
-0.708
-25+0.26
-24.74
What is 11.6734 less than 0.2?
-11.4734
What is 493 less than 0.1?
-492.9
Total of -198 and 3971.
3773
What is 194 take away -1183?
1377
What is 4.64 less than 0.043?
-4.597
-0.1 + 0.02
-0.08
What is 2 + -140.05?
-138.05
What is -0.5 less than 1.488699?
1.988699
Sum -43560 and 11.
-43549
-0.3 - 79
-79.3
Subtract 659 from 0.6.
-658.4
What is 0.061 less than -125842?
-125842.061
What is -25.5009 plus -0.4?
-25.9009
Add together -2 and -0.1519.
-2.1519
What is -0.087 less than 0.4?
0.487
Total of -6757 and -17.
-6774
What is -1994 minus 28?
-2022
What is -19549.73 take away 0.03?
-19549.76
What is -3205 + -2028?
-5233
Calculate -0.08 + 6.95.
6.87
What is the difference between 26 and 833?
807
What is 0.8339 plus -1.3?
-0.4661
Calculate -3 + 885.28.
882.28
What is 4694 less than 28.8?
-4665.2
-603 + -6675
-7278
Work out 0 - 0.0053.
-0.0053
Subtract 958.95 from -2.
-960.95
Add -1032.3 and -24.5.
-1056.8
Calculate -84 - -0.07.
-83.93
What is the distance between 2009 and 53?
1956
What is 8.9931 + 1?
9.9931
Add together 438374 and 0.2.
438374.2
-0.147 - 0.038
-0.185
Work out 151 - 3.2.
147.8
What is -0.01653 take away 0.04?
-0.05653
Calculate 0.0598475 - 0.1.
-0.0401525
70 - 27
43
What is 3 minus 1386471?
-1386468
Calculate 4 - 142864.
-142860
Add together 1 and 14176.2.
14177.2
What is the distance between -0.2 and -455?
454.8
Calculate 94 + 1.2439.
95.2439
0.2+110
110.2
Work out 0.79 - -63.5.
64.29
Add -64 and 0.87.
-63.13
Calculate 15 + 782.
797
What is 0.1 - 6272?
-6271.9
What is -33880 + 0.2?
-33879.8
What is the distance between 1 and -125.49?
126.49
0.5 + -1710
-1709.5
What is 0.0732 minus 378?
-377.9268
Calculate -6705.6 + 0.
-6705.6
Total of 0.1005 and 0.06.
0.1605
What is -0.0458 + 301?
300.9542
25519 + -1
25518
What is 572 minus -0.1?
572.1
What is the distance between -10.7 and 54?
64.7
What is -1 minus 539?
-540
Put together -113849 and -5.
-113854
Calculate 11818 - 9.
11809
Subtract 22.38 from 0.3.
-22.08
Work out -11059 + -3.9.
-11062.9
1232395 + 5
1232400
-112+0.87
-111.13
Work out 147 - -0.046302.
147.046302
What is -5 + -3.331?
-8.331
Calculate -204 + -2845.
-3049
What is -0.05 - 4907.13?
-4907.18
What is the distance between 0.283 and 72?
71.717
-337343 + 5
-337338
What is -452.02 plus 2.8?
-449.22
0.03608 + -4
-3.96392
Calculate -37566 + 0.5.
-37565.5
0.3 + -3313567
-3313566.7
-772 - -133
-639
Work out -1403272 + 1.
-1403271
Total of -0.0552 and 0.04.
-0.0152
What is -24049 plus 12?
-24037
Subtract -1 from -41920.
-41919
-85+-0.04363
-85.04363
What is -6.31863 less than 3?
9.31863
-836954 - -2
-836952
What is -1 less than 0.4379?
1.4379
Calculate 156948 - -1.1.
156949.1
Subtract -1019 from 13.31.
1032.31
Calculate 4643 + -10.8.
4632.2
Work out -776 - 13.4.
-789.4
Work out 6677 - 1.
6676
Calculate -1.5 + 64.
62.5
What is -44104 - -8?
-44096
Calculate 0.4 - 18725.
-18724.6
88 - 39
49
What is -66.12 less than 3?
69.12
Subtract 95.7 from 0.09.
-95.61
What is -5 take away -0.676?
-4.324
What is -6892 take away 0.1?
-6892.1
Add -0.063 and -1.076.
-1.139
What is the distance between 0.5 and 34.64?
34.14
What is the difference between 0.14947 and 4?
3.85053
Calculate -21 - 1662.
-1683
Put together -123 and 0.02.
-122.98
Add together 4 and -252.02.
-248.02
What is -2 - 19.393?
-21.393
Calculate 0.03 - 0.1571.
-0.1271
Put together 0.14 and 0.179901.
0.319901
Add together -10.97 and -0.5.
-11.47
What is the distance between -5 and 54830?
54835
What is the difference between -36 and -69?
33
-2 - 4.89
-6.89
What is the distance between -0.08402 and -0.4?
0.31598
Put together -5194.8 and 0.5.
-5194.3
-137.3 - -1.2
-136.1
What is the difference between 1.117 and 0.9?
0.217
What is 0.16 plus -39?
-38.84
Calculate -0.24809 - 195.
-195.24809
Put together -7 and -5.31.
-12.31
1 + 17.752
18.752
What is -16 plus -17.4?
-33.4
What is -4.42 less than 2.16?
6.58
-2 + 190
188
What is -3 minus 13.91?
-16.91
Put together 2.4 and -0.8044.
1.5956
What is 0 take away -5.767?
5.767
Sum -39010 and -3.
-39013
What is 1755 + -0.533?
1754.467
Add 0.05486 and -0.4.
-0.34514
What is the difference between -0.2 and -533?
532.8
What is the distance between 0.0474788 and 0.9?
0.8525212
What is 0.2 minus -448?
448.2
Work out 113 - -2045.
2158
Work out -51492 - 19.
-51511
What is 1560 + -3?
1557
What is -897 + -16?
-913
Total of -4146 and 2.
-4144
Add together -10742 and -122.
-10864
Sum -5 and -78698.
-78703
0.29149 + 1
1.29149
Total of -13 and -7145.29.
-7158.29
-4 - 121
-125
Sum 4 and -0.585938.
3.414062
What is -17586 take away -0.01?
-17585.99
What is 3 + 0.1568?
3.1568
Add together -0.03 and 1875.38.
1875.35
What is the difference between 0.311 and 2?
1.689
Calculate -4 - -3273.
3269
What is 4 minus -2968?
2972
2.557 + -2
0.557
Work out -104.01 - 0.6.
-104.61
What is -247 + 0.9?
-246.1
-471.9956 - -1
-470.9956
What is 254.9 less than 9.9?
-245
Work out -243 + -36.35.
-279.35
Total of 7 and 747.
754
Total of 3.1 and 12.7818.
15.8818
Subtract -12435 from -9.6.
12425.4
Calculate -0.03 + 1592.
1591.97
What is the difference between 5377 and 0.6?
5376.4
What is -16007 - 58?
-16065
Calculate -2.04 + 1.
-1.04
Calculate 0.5 + 535.
535.5
What is -958317 - -4?
-958313
Put together 0.068 and -0.39652.
-0.32852
What is -509178 plus -0.1?
-509178.1
What is 7 take away -4.7?
11.7
What is -132 - -23.486?
-108.514
Subtract 38.53 from -0.0021.
-38.53
|
{
"pile_set_name": "DM Mathematics"
}
|
*j**2 - 68/3*j**3 - 58/3*j - 2/3*j**5 + 14/3 + 22/3*j**4 = 0.
1, 7
Let p(b) be the third derivative of b**9/18144 - b**8/7560 - b**7/7560 + 7*b**5/15 + 27*b**2. Let m(s) be the third derivative of p(s). Solve m(r) = 0.
-1/5, 0, 1
Let g(l) be the first derivative of -9*l**2/2 - 34*l + 24. Let o be g(-4). Solve 2/5 - 2/5*a - 2/5*a**o + 2/5*a**3 = 0.
-1, 1
Let v(m) = -4*m**4 + 6*m**3 - 54*m**2 - 29*m + 101. Let g(z) = z**4 - 2*z**3 + 17*z**2 + 10*z - 34. Let x(b) = 21*g(b) + 6*v(b). Let x(s) = 0. Calculate s.
-3, 2
Let k(m) = -m - 23. Suppose -57 + 11 = 2*d. Let l be k(d). Let 4/7*a - 10/7*a**2 + l - 2*a**3 = 0. What is a?
-1, 0, 2/7
Factor 2*j**2 - 32/3 - 26/3*j.
2*(j + 1)*(3*j - 16)/3
Find z such that 9978 + 4*z**2 + 24*z - 9978 = 0.
-6, 0
What is m in 3*m + 1/8*m**3 - 11/8*m**2 + 9/2 = 0?
-1, 6
Let u = -13/85 - -647/340. Solve -1/4*f**3 + u*f**2 + 1/4*f**5 + 0*f - 3/4*f**4 - 1 = 0.
-1, 1, 2
Let i(d) be the third derivative of 0*d**3 - 2*d**2 + 0 + 1/140*d**5 - 24*d + 1/56*d**4. Solve i(n) = 0 for n.
-1, 0
Let o(x) = -28*x**2 - 71*x - 30. Let r(g) = -13*g**2 - 34*g - 16. Let s(c) = 6*o(c) - 13*r(c). Suppose s(l) = 0. Calculate l.
-14, -2
Suppose 0 = 2*h - 10*h + 104. Factor 2*r**3 + 8*r - 12*r**2 - h + 2*r**3 + 13.
4*r*(r - 2)*(r - 1)
Let g(w) = -3*w + 12. Let l be g(5). Let b = l - -3. Factor -7*n + 2*n + b*n**2 + n**2 + 9*n + 4.
(n + 2)**2
Let f(m) = -22*m**3 - 142*m**2 - 1020*m - 891. Let k(z) = 10*z**3 + 70*z**2 + 510*z + 446. Let r(a) = -4*f(a) - 9*k(a). Suppose r(x) = 0. What is x?
-15, -1
Let a(j) = -j**3 + 3*j**2 - 15*j + 200. Let z be a(6). Find h, given that 0*h + 2/15*h**5 - 2/15*h**3 + 0 + 0*h**z + 0*h**4 = 0.
-1, 0, 1
Suppose 0*d - 4/3*d**4 - 14/3*d**3 - 2*d**2 + 0 = 0. What is d?
-3, -1/2, 0
Let x(k) = 10*k**4 + 5*k**3 - 70*k**2 + 65*k - 5. Let q(b) = 5*b**4 + 2*b**3 - 35*b**2 + 32*b - 2. Let w(m) = 5*q(m) - 2*x(m). Solve w(t) = 0.
-3, 0, 1, 2
Let n be (-45)/(-108)*(-24)/(-6). Let 20/3*f**4 + 17/3*f**3 + 0 - n*f**2 - 2/3*f = 0. What is f?
-1, -1/4, 0, 2/5
Let c be 1 + -2 + (3 - (-9 - -6)). Let d(w) be the second derivative of -3*w + 0 + 0*w**3 + 1/60*w**6 + 0*w**c - 1/24*w**4 + 0*w**2. Solve d(j) = 0 for j.
-1, 0, 1
Let h(a) be the third derivative of a**6/180 - 11*a**5/90 + 5*a**4/18 - a**2 + 19. Factor h(y).
2*y*(y - 10)*(y - 1)/3
Let t(y) = y**3 + 4*y**2 + 2*y. Let v be t(-3). Factor 24*a**3 + 8 - 40*a**4 - 32*a**v + 20*a - 12*a**5 - 32*a**3.
-4*(a + 1)**4*(3*a - 2)
Factor -467*f + 292 + 453*f - 308 + 2*f**2.
2*(f - 8)*(f + 1)
Let j(u) be the first derivative of 2/33*u**3 - 19 + 32/11*u - 8/11*u**2. What is k in j(k) = 0?
4
Let n be ((-6)/4)/((-2)/4). Let q = -60 - -426. Factor -q + 3*a**3 + 366 - n*a.
3*a*(a - 1)*(a + 1)
Let j(a) be the third derivative of -a**3 + 0 + 0*a - 14*a**2 - 1/560*a**7 - 1/40*a**6 + 1/896*a**8 + 1/20*a**5 + 1/4*a**4. What is t in j(t) = 0?
-2, 1, 2
Suppose 3/4*d - 3/2*d**4 - 3/4*d**5 + 3/2*d**2 + 0 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let b be (-1)/(-40) + (201/(-24) - -8)*-1. Solve 2/5*s**2 + 0 + 0*s - 4/5*s**3 + b*s**4 = 0 for s.
0, 1
Let g(q) be the third derivative of 0*q + 8/51*q**3 + 0 - 3*q**2 - 1/51*q**4 - 1/51*q**5 - 1/340*q**6. Factor g(t).
-2*(t + 2)**2*(3*t - 2)/17
Let d(b) = -2*b**2 - b + 2. Let p(c) = 8*c**2 + 559*c + 38636. Let t(v) = 6*d(v) + 2*p(v). Factor t(x).
4*(x + 139)**2
Let h(b) be the second derivative of b**4/48 - 17*b**3/8 - 13*b**2/2 - 2*b - 243. Factor h(c).
(c - 52)*(c + 1)/4
Suppose -16*m = -15*m - 3. Factor -5*s**3 - 25*s**2 + 49*s - 85*s + s**m + s**2.
-4*s*(s + 3)**2
Suppose 3*z = 2 + 1. Let f = z - -2. Find v such that -v + 3*v**4 - 8*v**3 + 2*v - f*v + 7*v**2 = 0.
0, 2/3, 1
Let d be 18/(-4)*(-700)/2625*(-5)/(-8). Determine s, given that -15/4*s**2 + 21/4*s + d*s**3 - 9/4 = 0.
1, 3
Let s(j) be the first derivative of 57/20*j**4 + 24/5*j**2 + 12/5*j + 1/10*j**6 - 6 + 21/25*j**5 + 5*j**3. Factor s(v).
3*(v + 1)**3*(v + 2)**2/5
Suppose 3934*b - 3949*b = -30. Factor -2/15*w**b - 4/15*w - 2/15.
-2*(w + 1)**2/15
Let g(x) be the first derivative of x**4/4 + 2*x**3/3 - 13*x**2/2 - 17*x + 6. Let q be g(-4). Determine m so that -1/6*m + 1/3*m**2 - 1/6*m**q + 0 = 0.
0, 1
Let p(s) be the second derivative of s**4/12 - s**3/2 - 9*s**2 + 4*s - 13. Factor p(z).
(z - 6)*(z + 3)
Let k be (-4)/(4 + (-27)/6). Solve -8*f**3 - 3*f**3 - 13*f**3 + 4*f**3 + 28*f**2 - k*f = 0.
0, 2/5, 1
Let h = 523 + -1043/2. Factor 0*b - b**2 + 5/2*b**4 + 0 + h*b**3.
b**2*(b + 1)*(5*b - 2)/2
Let m be (0 - 0)*(-12)/48. Suppose 3*y + 12*l = 8*l - 14, m = 4*y + l - 3. Solve 2/5 + 0*d - 2/5*d**y = 0.
-1, 1
Suppose 5*s + 1 = 3*n - 31, 5*n + 5*s = 0. Factor -12*x**n + 177 - 177 + 3*x**5 + 9*x**3.
3*x**3*(x - 3)*(x - 1)
Factor 3/7*w**4 - 15/7*w - 27/7*w**2 + 0 - 9/7*w**3.
3*w*(w - 5)*(w + 1)**2/7
Let a = 1257/2 - 611. Let q = a - 17. Factor -q*u + 0 - 1/2*u**5 + 0*u**2 + 0*u**4 + u**3.
-u*(u - 1)**2*(u + 1)**2/2
Let c = 51 + -46. Solve -1688*y - 15*y**3 + 1688*y + c*y**2 = 0 for y.
0, 1/3
Suppose i - 2*x - 20 = 0, -4*i = i + x - 122. Let w be (i/(-20))/(-6) - (-3)/(-15). Suppose 2/13*l**2 + w + 2/13*l = 0. What is l?
-1, 0
Let g(z) be the second derivative of -2*z**6/15 - 6*z**5/5 - 5*z**4/3 + 8*z**3 + 28*z - 5. Solve g(j) = 0 for j.
-4, -3, 0, 1
Let s(z) be the first derivative of 2*z**5/105 - 7*z**4/6 + 190*z**3/63 - 47*z**2/21 + 173. Determine k, given that s(k) = 0.
0, 1, 47
Let g(m) = 2*m**2 - m. Let i be g(-1). Suppose -u + 49 = 6*u. What is h in 10*h**i - 3*h**2 + 2*h**3 + 4*h**5 + 12*h**4 + u*h**2 = 0?
-1, 0
Let z(v) be the second derivative of -v**6/20 - 3*v**5/20 + 3*v**4/8 + v**3 - 3*v**2 + 63*v. Solve z(q) = 0.
-2, 1
Let n(o) be the second derivative of 2*o**5/75 - 47*o**4/18 - 299*o**3/45 - 4*o**2 + o - 8. What is t in n(t) = 0?
-1, -1/4, 60
Suppose -12*h + f = -7*h - 8, 8 = h + 3*f. Factor -8*j - 123*j**4 + 1 + 6*j**2 + 122*j**4 + h.
-(j - 1)**3*(j + 3)
Suppose -3*g + 12 = h, -6*h + 2*h - 8 = -2*g. Factor 0*q - 8*q**g + 11/2*q**3 - q**2 + 0 + 7/2*q**5.
q**2*(q - 1)**2*(7*q - 2)/2
Let f(p) be the second derivative of 2/63*p**7 - 16*p + 0*p**2 + 0 + 0*p**3 - 2/45*p**6 + 0*p**5 + 0*p**4. Suppose f(i) = 0. What is i?
0, 1
Let o = 4016 - 36136/9. Factor o - 2/9*v**2 - 2/3*v.
-2*(v - 1)*(v + 4)/9
Let x(m) = -m**3 + 16*m**2 + 20*m + 3. Let u(b) = -b**3 + 8*b**2 + 10*b + 1. Let c(q) = -10*u(q) + 6*x(q). Suppose c(f) = 0. What is f?
-2, -1
Find m, given that 67*m**2 + 1 - 10*m + 11 - 65*m**2 + 0 = 0.
2, 3
Let y be 2*(-7)/140 - 3/(-15). Solve -1/10*h**2 + 1/10 - 1/10*h**3 + y*h = 0 for h.
-1, 1
Factor 864*p**2 + 3*p**3 + 1492992 + 30312*p + p**3 + 24382*p + 9194*p - 1680*p.
4*(p + 72)**3
Let x(c) = -8*c**2 + 1557*c + 585. Let d be x(195). Factor 4/9*y**5 - 4/9*y**3 + 0*y**4 + d + 0*y + 0*y**2.
4*y**3*(y - 1)*(y + 1)/9
Let q(i) be the first derivative of i**4/12 - 19*i**3/3 + 28*i**2/3 - 13. Factor q(x).
x*(x - 56)*(x - 1)/3
Let r(j) be the second derivative of -14*j + 1/70*j**5 + 1/42*j**3 + 0*j**2 + 0 - 1/98*j**7 - 2/105*j**6 + 1/21*j**4. Determine s so that r(s) = 0.
-1, -1/3, 0, 1
Let i = 221 + -217. Let w be 16/(-6) - -3 - (-10)/6. Solve -1/4*t - 1/2 - 3/4*t**5 + t**3 + 3/2*t**w - t**i = 0.
-1, 2/3, 1
Suppose -10*b + 8*b = -8. Find v such that b + 15*v**2 - 4*v**3 - v**3 - 4 - 10*v = 0.
0, 1, 2
Suppose -42 = -2*a + 152. Let h = 13 + -11. Find w such that 4 + a*w - 89*w + h*w**2 + 2 = 0.
-3, -1
Let d = 1659/2 - 14927/18. Find v such that d*v**2 + 0*v + 0 = 0.
0
Let v(d) be the third derivative of d**5/150 + 5*d**4/12 - 26*d**3/15 - 718*d**2. Let v(f) = 0. What is f?
-26, 1
Find k such that 12/5*k**2 - 2/5*k**5 - 14/5*k**3 + 16/5*k - 12/5*k**4 + 0 = 0.
-4, -2, -1, 0, 1
Let h(i) be the first derivative of -2*i**5/45 + 5*i**4/9 + 16*i**3/9 + 164. Factor h(v).
-2*v**2*(v - 12)*(v + 2)/9
Let o(z) be the second derivative of -z**5/20 - 23*z**4/12 - 10*z**3 - 63*z + 1. Factor o(x).
-x*(x + 3)*(x + 20)
Let p(f) be the third derivative of f**5/15 - 88*f**4/3 + 15488*f**3/3 - 2*f**2 - 153. Factor p(u).
4*(u - 88)**2
Factor -60*c**3 + 108*c - 4*c**5 - 31*c**2 - 41*c**2 + 0*c**5 - 36*c**4 - 44*c**3 + 108.
-4*(c - 1)*(c + 1)*(c + 3)**3
Let t(z) be the third derivative of -z**5/20 - 37*z**4/2 + 149*z**3/2 + 3*z**2 + 30*z. Solve t(b) = 0.
-149, 1
Let t be (-2 - (91/(-21) - -2))*6. Factor -3/4*b**3 + 3/4 - 9/4*b + 9/4*
|
{
"pile_set_name": "DM Mathematics"
}
|
ate -384*c**3*i + c**3 - 2*c**2*i - 81*c**2 - i wrt i.
-384*c**3 - 2*c**2 - 1
Differentiate 96*g**2*z + 1187*g**2 - 4*z wrt z.
96*g**2 - 4
What is the derivative of 44*c**2*m**2 + 2*c*m**2 + 19*c*m - 11*m**2 - 358*m wrt c?
88*c*m**2 + 2*m**2 + 19*m
What is the third derivative of 47*t**6 - 24*t**2 wrt t?
5640*t**3
What is the derivative of -353*h**2*r**2 - h**2*r + 605*r**2 - 2 wrt h?
-706*h*r**2 - 2*h*r
Find the third derivative of 1123*n**3 - n**2 - 768*n.
6738
What is the first derivative of 660*v**4 - 1139 wrt v?
2640*v**3
What is the second derivative of 43*o**2 + 2*o - 8 wrt o?
86
What is the third derivative of -143*r**3 + 194*r**2 wrt r?
-858
What is the first derivative of i**3 + 273*i**2 + 1567 wrt i?
3*i**2 + 546*i
Find the first derivative of 1565*q**4 - 1134 wrt q.
6260*q**3
Find the third derivative of 245*o**5 + 2*o**2 - 1507.
14700*o**2
Find the third derivative of 200*k**3 + 302*k**2 wrt k.
1200
What is the third derivative of -2*m**4 - 330*m**3 + 488*m**2?
-48*m - 1980
Find the second derivative of 4692*s**2 + 5876*s wrt s.
9384
Find the third derivative of i**2*k**3 - 2*i**2*k**2*t - 14*k**3*t + 3*k**3 - 2*k**2 + 4*k*t + 3*k wrt k.
6*i**2 - 84*t + 18
Differentiate 41*k**3 + 24*k**2 - 856 wrt k.
123*k**2 + 48*k
Differentiate o**4 - 623*o**2 + 1825 with respect to o.
4*o**3 - 1246*o
What is the third derivative of -2*o**6*s**3 + 45*o**3*s**3 - 2*o**2*s**3 - 7*o**2 wrt o?
-240*o**3*s**3 + 270*s**3
Differentiate -699*w**4 + 2003 wrt w.
-2796*w**3
Differentiate -6*a**2*d*f + 6*a*d**2*f**2 + a*d**2 - 12*d**2 - d*f**2 wrt a.
-12*a*d*f + 6*d**2*f**2 + d**2
Find the first derivative of 1697*y**3 + 1422.
5091*y**2
Find the second derivative of -142*c**2 + 464*c wrt c.
-284
Find the second derivative of 6144*q**2 - 25*q - 5 wrt q.
12288
What is the third derivative of -1984*i**3 - 607*i**2?
-11904
Differentiate 18*k*v - 5*k*z**3 - 23*v + 3*z**3 wrt k.
18*v - 5*z**3
Find the second derivative of 10343*t**2 - 346*t wrt t.
20686
Find the third derivative of 8182*a**3*j**3 - 39*a**3*j**2 + a**3*j - 3*a*j**2 + 4*j wrt j.
49092*a**3
Find the third derivative of 2*v*y**4 + 21*v*y**3 - 153*v*y + y**3 + 2*y**2 wrt y.
48*v*y + 126*v + 6
Find the third derivative of 7*d*q**6 - 4*d*q**2 - 316*d + 264*q**4 - q**3 + 2*q**2 + 1 wrt q.
840*d*q**3 + 6336*q - 6
What is the first derivative of -2*a**2*u - 1332*a**2 + 1671*a*u - 2*u wrt u?
-2*a**2 + 1671*a - 2
Find the first derivative of -16*g*y**2 - 19*g*y + y**2 wrt g.
-16*y**2 - 19*y
What is the third derivative of 11*z**4 + 4*z**3 + z**2 + 119?
264*z + 24
Find the second derivative of -35*l**3 + 1179*l + 1.
-210*l
Differentiate 2*j**2*t - 2*j**2*w - 81*j**2 - j*t**2 + 5*t**4 - t*w - w with respect to t.
2*j**2 - 2*j*t + 20*t**3 - w
Find the third derivative of -1028*z**4 - 515*z**2.
-24672*z
Find the first derivative of 19*i**2*l**2*n**3 + 152*i*j*l + 2*j*l**2*n - 88*j*l*n**3 - 12*j*n**3 + 2*j*n**2 wrt i.
38*i*l**2*n**3 + 152*j*l
Find the second derivative of -t**4 + 1354*t**3 - 24*t - 18 wrt t.
-12*t**2 + 8124*t
What is the third derivative of 53*g**4 - 2*g**3 + g**2 + 110*g?
1272*g - 12
Differentiate 121*g**3*h + 1599*g**3 + h**3 with respect to h.
121*g**3 + 3*h**2
What is the derivative of 241*f**4*t - f**2*t**2 - 6252*t**2 wrt f?
964*f**3*t - 2*f*t**2
What is the second derivative of 2*g**3 + 152*g**2*t**2 + 2*g**2 - 10*g - 57*t**2 wrt g?
12*g + 304*t**2 + 4
Find the second derivative of -7981*g**2 - 9226*g.
-15962
Find the second derivative of -4*d**3*h**2*u + 3*d**3*u**2 - 2*d**2*h + 2*d**2*u**2 + 2*d*h**2*u**2 + 39*h**2*u + 138*h*u wrt h.
-8*d**3*u + 4*d*u**2 + 78*u
What is the third derivative of -31*m**5 + 248*m**2 wrt m?
-1860*m**2
Find the second derivative of -g**2*h*i*m - 2*g**2*h*m + 4*g**2*i*m**2 + 6*g*h*i - 3*g*i*m**2 + 6*g*m - 4*h*m**2 - 4*i*m**2 wrt m.
8*g**2*i - 6*g*i - 8*h - 8*i
Find the second derivative of -111*a**2*u**3 - a**2*u**2 + 2*a**2 - 4416*a*u**3 - a wrt a.
-222*u**3 - 2*u**2 + 4
Find the third derivative of 236*s**5 + 3*s**4 - 2*s**3 + 1790*s**2.
14160*s**2 + 72*s - 12
What is the second derivative of -5855*q**4 + 4506*q + 1?
-70260*q**2
What is the third derivative of 8*b**2*l**4*m - 13*b**2*l + 2*b**2*m + 10*l**4*m - l**2*m wrt l?
192*b**2*l*m + 240*l*m
Find the first derivative of 431*m + 2012.
431
What is the derivative of -3*n*q**2 + 15*n*q - 123*q**2 wrt n?
-3*q**2 + 15*q
What is the third derivative of 2692*p**4 + 4*p**2 - 88*p + 4?
64608*p
Find the second derivative of m**3 + 464*m**2 + 4*m - 1701 wrt m.
6*m + 928
Find the third derivative of -3*z**6 + 16*z**3 - 109*z**2 + 2*z.
-360*z**3 + 96
What is the second derivative of -23*q**4*r - 11*q**3*r**2 + 2*q*r**2 - 41*q*r wrt q?
-276*q**2*r - 66*q*r**2
Find the second derivative of -75*f**2*m**2 - 4*f**2*m + 2*f**2 wrt m.
-150*f**2
Find the first derivative of -6115*a*t**2 - 2*a + 2*t**2 + t - 421 wrt a.
-6115*t**2 - 2
Find the second derivative of -3249*f**4*m*t + 2*f**3*t - 2*f**2*m + f*m*t + 3*f*t + 177*m*t wrt f.
-38988*f**2*m*t + 12*f*t - 4*m
Find the third derivative of 4644*p**4 - 3576*p**2.
111456*p
Find the third derivative of p**4*s**2 + 141*p**4 + p**3*s + 36*p**2 - 3*s**2 wrt p.
24*p*s**2 + 3384*p + 6*s
What is the derivative of -1028*k**2 - 700?
-2056*k
Find the first derivative of 1473*n**4 + 23 wrt n.
5892*n**3
What is the second derivative of -6851*q**5 + 65*q - 8?
-137020*q**3
What is the third derivative of 123*l**6 - 11*l**2 - 10?
14760*l**3
What is the third derivative of -19*n**5 + 2*n**4 + 86*n**3 - 16071*n**2 wrt n?
-1140*n**2 + 48*n + 516
What is the derivative of 168*c**3 - 151 wrt c?
504*c**2
What is the second derivative of 2*k*l*s**2*v + 6*k*l*s**2 + 2*k*l*v + 2*k*s*v + 12*k*s - 56*s**2*v + 2*s**2 - 2*s*v wrt s?
4*k*l*v + 12*k*l - 112*v + 4
Find the third derivative of 336*a**5 + 136*a**2.
20160*a**2
Find the second derivative of 65*w**2 + 54*w + 2.
130
Find the third derivative of 2*h**3*n*z + 730*h**3*n + 2*h**3 - 1157*h**2*n*z + 2*h**2*n + 2*h**2 + 2*h*z wrt h.
12*n*z + 4380*n + 12
What is the derivative of q**2*r**2*u**3 + 15*q**2 + 247*r**2*u**3 + r**2*u**2 wrt q?
2*q*r**2*u**3 + 30*q
What is the second derivative of -g*j**2*p**2 + 9*g*j*p**2 + j**2*p**2 - 5*j**2 - 6*j*p wrt j?
-2*g*p**2 + 2*p**2 - 10
What is the third derivative of -2*k**6*z**3 + 135*k**3*z**3 - 3*k**2*z**3 - 2*k**2*z**2 + 9*z**2 wrt k?
-240*k**3*z**3 + 810*z**3
What is the third derivative of -1260*o**6 + o**4 + 707*o**2 wrt o?
-151200*o**3 + 24*o
What is the second derivative of -2*a**5 - 3*a**3 - 250*a**2 - 5358*a wrt a?
-40*a**3 - 18*a - 500
Differentiate -5*q**3 - 6*q*t**2 - 128*t**2 + t with respect to q.
-15*q**2 - 6*t**2
What is the first derivative of 161*w**2 - 81 wrt w?
322*w
Find the third derivative of 404*q**4 - q**3 + 1483*q**2.
9696*q - 6
Differentiate 2*d**3*h*j**2 - 2*d**3*j**2 + 4*d**3 + 88*d**2*j**2 - 43*h*j**2 + 4*h*j wrt h.
2*d**3*j**2 - 43*j**2 + 4*j
Find the third derivative of -63*c**3*l**2 - 2*c**3*l + 3*c**2*l**2 + c*l wrt c.
-378*l**2 - 12*l
Differentiate 3*k**3*o + 3*k**3 - 16*k*o**3 - 875*o**3 wrt k.
9*k**2*o + 9*k**2 - 16*o**3
Find the first derivative of -22238*i + 16157 wrt i.
-22238
What is the second derivative of 3304*h**3 - 80*h + 17 wrt h?
19824*h
Find the third derivative of -u**5*v + 25*u**4*v + u**3*v - u**2 + v - 13 wrt u.
-60*u**2*v + 600*u*v + 6*v
Find the second derivative of -4*u**4*x + 72*u**3 + 2*u**2*x**2 - u*x**2 - u - 15*x**2 wrt u.
-48*u**2*x + 432*u + 4*x**2
What is the third derivative of 218*b**5 + 4*b**3 - 1739*b**2?
13080*b**2 + 24
Find the first derivative of -33*c**3*k - 2*c**3*p + c**2*k + 10*c*p - 2*k*p + 2*k + 2*p**2 wrt p.
-2*c**3 + 10*c - 2*k + 4*p
What is the third derivative of 4*b*p**4 - 2*b*q - 34*p**5 + 2*p**3*q + 104*p**2*q + 2*p wrt p?
96*b*p - 2040*p**2 + 12*q
Find the first derivative of 2*l**2 - 630*l + 643.
4*l - 630
What is the second derivative of 19*g**2*u**2 + 2*g**2*u - g**2 - 5*g*u + 87*u**2 - 5 wrt u?
38*g**2 + 174
What is the second derivative of -8*d**3*l**3 + d**3*l - 2*d**3 + 8*d*l**3 + 4*d*l**2 wrt d?
-48*d*l**3 + 6*d*l - 12*d
What is the first derivative of -5*u**3 - 6*u*v + 155*v wrt u?
-15*u**2 - 6*v
What is the derivative of -q**4*w - 38*q**3*w - 2*q**2 - 376*w wrt q?
-4*q**3*w - 114*q**2*w - 4*q
Differentiate 2*a*s**
|
{
"pile_set_name": "DM Mathematics"
}
|
4
What comes next: -14964, -14946, -14908, -14844, -14748, -14614, -14436?
-14208
What is next in 9345, 9405, 9461, 9513, 9561?
9605
What comes next: 108384, 216774, 325164, 433554?
541944
What comes next: 6004, 6039, 6078, 6121?
6168
What is next in 5404069, 5404071, 5404073, 5404075, 5404077, 5404079?
5404081
What comes next: -728, -1323, -1918, -2513?
-3108
What is next in -446284, -446283, -446282?
-446281
What is next in 1407, 5604, 12599, 22392, 34983?
50372
What is next in -453, -960, -1495, -2058, -2649?
-3268
What is next in 50, 125, 242, 395, 578, 785?
1010
What is the next term in 4840, 19350, 43534, 77392, 120924, 174130?
237010
What comes next: 88294, 88288, 88278, 88264, 88246, 88224, 88198?
88168
What is next in 130, 116, 112, 118?
134
What is next in -2867, -2848, -2819, -2780, -2731, -2672, -2603?
-2524
What is the next term in -1848828, -3697653, -5546478?
-7395303
What comes next: 33911, 33916, 33921, 33926, 33931?
33936
What is the next term in 15381, 15297, 15215, 15135, 15057?
14981
What is the next term in 24973, 49939, 74907, 99883, 124873, 149883, 174919?
199987
What is the next term in -4249, -4371, -4499, -4633?
-4773
What is the next term in 7125, 14245, 21361, 28473?
35581
What is the next term in -436, -945, -1524, -2173, -2892, -3681?
-4540
What comes next: 177607, 355209, 532799, 710371, 887919?
1065437
What is next in 235, 336, 439, 544, 651, 760?
871
What is the next term in -7980, -15974, -23982, -32010, -40064, -48150?
-56274
What is next in 49, 282, 811, 1750, 3213, 5314, 8167?
11886
What is the next term in -29492, -29484, -29476?
-29468
What is next in 609372, 1218743, 1828114?
2437485
What comes next: 524, 1052, 1600, 2174, 2780, 3424, 4112, 4850?
5644
What is the next term in 808, 1620, 2456, 3322, 4224, 5168, 6160?
7206
What is the next term in 141676, 141678, 141682, 141688, 141696?
141706
What comes next: 1358195, 1358193, 1358191, 1358189, 1358187?
1358185
What is next in 3280, 13138, 29568, 52570, 82144, 118290?
161008
What comes next: -14782, -118296, -399266, -946420, -1848486, -3194192, -5072266, -7571436?
-10780430
What is next in -43270, -86541, -129812, -173077, -216330, -259565, -302776?
-345957
What is next in -32920, -32969, -33018?
-33067
What comes next: 5838, 11662, 17486?
23310
What is next in -497, -369, -237, -95, 63, 243, 451, 693?
975
What is the next term in -2914, -5785, -8656?
-11527
What is next in 1592, 1619, 1646, 1673?
1700
What comes next: 172, -20, -340, -788, -1364, -2068?
-2900
What is next in -35728, -71462, -107198, -142936, -178676?
-214418
What is next in -44087, -88160, -132233, -176306, -220379?
-264452
What is the next term in 122747, 245495, 368243, 490991, 613739?
736487
What is the next term in -778, -1602, -2458, -3340, -4242, -5158, -6082?
-7008
What comes next: -119027, -119082, -119165, -119270, -119391, -119522, -119657, -119790?
-119915
What comes next: -802, -831, -888, -979, -1110, -1287, -1516?
-1803
What is the next term in 91236, 91234, 91222, 91194, 91144?
91066
What is next in -123, -543, -1249, -2241, -3519, -5083, -6933?
-9069
What is next in 558, 908, 1256, 1602?
1946
What comes next: 151, 329, 583, 955, 1487, 2221?
3199
What is next in 13, 68, 177, 358, 629, 1008?
1513
What is next in 20412, 83391, 188348, 335277, 524172, 755027, 1027836?
1342593
What is next in -3, -28, -127, -342, -715, -1288, -2103, -3202?
-4627
What is the next term in 619069, 619072, 619075, 619078?
619081
What is next in -1339378, -1339377, -1339376, -1339375, -1339374, -1339373?
-1339372
What is the next term in 1895520, 1895518, 1895516, 1895514, 1895512?
1895510
What is the next term in 343, 610, 863, 1096, 1303, 1478, 1615, 1708?
1751
What comes next: 4392, 4380, 4368, 4356, 4344, 4332?
4320
What is next in 616, 1037, 1458, 1879?
2300
What is next in -251, -478, -1081, -2252, -4183, -7066, -11093?
-16456
What is next in 147, 346, 543, 738, 931, 1122?
1311
What is the next term in -1426263, -1426264, -1426265?
-1426266
What is next in 18331, 18328, 18325, 18322, 18319?
18316
What is next in -3289, -2818, -2047, -988, 347, 1946?
3797
What comes next: 182, 172, 162, 152?
142
What is next in -309, -1222, -2743, -4872, -7609, -10954?
-14907
What comes next: -2075208, -2075195, -2075168, -2075121, -2075048?
-2074943
What is the next term in -557, -792, -1027?
-1262
What is the next term in 56781, 56787, 56793, 56799, 56805?
56811
What comes next: -1213826, -1213822, -1213818?
-1213814
What comes next: 36582, 36569, 36556, 36543, 36530?
36517
What is the next term in -811, -449, -91, 263, 613?
959
What is the next term in 159, 152, 145, 138, 131?
124
What is next in 1037, 1391, 2355, 4235, 7337?
11967
What is the next term in -40269, -40260, -40251?
-40242
What is next in -440, -1968, -4506, -8048, -12588, -18120, -24638, -32136?
-40608
What comes next: -940, -811, -694, -595, -520?
-475
What comes next: -129328, -258636, -387948, -517264, -646584, -775908?
-905236
What comes next: -5390, -10818, -16246, -21674, -27102?
-32530
What is the next term in 1095, 4300, 9503, 16590, 25447, 35960, 48015, 61498?
76295
What comes next: -228, -939, -2124, -3783?
-5916
What comes next: 3945, 4199, 4453, 4707?
4961
What is next in 55, -29, -231, -599, -1181, -2025?
-3179
What is the next term in -309071, -618148, -927225, -1236302, -1545379?
-1854456
What is the next term in -314096, -314094, -314092, -314090, -314088, -314086?
-314084
What is the next term in -79, 34, 147, 260, 373, 486?
599
What comes next: 3107, 6214, 9321, 12428, 15535?
18642
What comes next: 61567, 246259, 554079, 985027?
1539103
What is the next term in -685, -1390, -2119, -2878, -3673, -4510, -5395?
-6334
What is next in -20012, -20022, -20056, -20126, -20244, -20422?
-20672
What comes next: 1226, 1242, 1262, 1292, 1338, 1406?
1502
What comes next: 1216, 2445, 3672, 4897, 6120?
7341
What comes next: -922, -994, -1066, -1138?
-1210
What comes next: -330, -739, -1410, -2343, -3538, -4995?
-6714
What comes next: 370, 393, 424, 469, 534, 625, 748, 909?
1114
What is next in 15765, 31532, 47299?
63066
What comes next: -24184, -48376, -72568, -96760, -120952, -145144?
-169336
What is the next term in -720362, -720361, -720360, -720359, -720358, -720357?
-720356
What is next in -1313, -2612, -3911, -5210, -6509?
-7808
What comes next: 108019, 108033, 108047, 108061?
108075
What is the next term in -77, 101, 277, 451?
623
What is next in -27236, -54474, -81712, -108950, -136188, -163426?
-190664
What comes next: -22250, -44501, -66760, -89027, -111302?
-133585
What comes next: 1121806, 2243613, 3365420, 4487227?
5609034
What is the next term in -187758, -187757, -187756, -187755, -187754, -187753?
-187752
What is the next term in -39842, -79684, -119526, -159368?
-199210
What is next in -1434, -5365, -11918, -21093, -32890, -47309?
-64350
What is the next term in 25077, 25043, 25013, 24987?
24965
What is the next term in -28714, -28716, -28718?
-28720
What is the next term in -83, -190, -301, -416, -535?
-658
What is the next term in 1740, 5097, 8456, 11817, 15180, 18545, 21912?
25281
What is the next term in -242458, -242457, -242456, -242455, -242454?
-242453
What is next in 80267, 80264, 80261, 80258?
80255
What comes next: -7747, -15490, -23237, -30994, -38767, -46562, -54385, -62242?
-70139
What is the next term in -405, -919, -1769, -2949, -4453, -6275, -8409, -10849?
-13589
What is the next term in 505, 970, 1435, 1900, 2365?
2830
What comes next: -47, -200, -583, -1298, -2447, -4132, -6455?
-9518
What is next in 452, 688, 1370, 2720, 4960, 8312, 12998?
19240
What is the next term in -40486, -80966, -121458, -161968, -202502, -243066?
-283666
What comes next: -16143, -16123, -16091, -16047?
-15991
What is the next term in 53, 4, -179, -562, -1211, -2192?
-3571
What is next in -1587, -6482, -14639, -26058, -40739?
-58682
What is the next term in 1077, 2185, 3305, 4437, 5581, 6737, 7905?
9085
What is next in -523, -92, 633, 1658, 2989, 4632, 6593, 8878?
11493
What is next in -188800, -188798, -188796, -188794?
-188792
What is next in 727, 1213, 2023, 3157, 4615, 6397, 8503?
10933
What is next in -188, -832, -2002, -3776, -6232, -9448, -13502, -18472?
-24436
What comes next: -994, -1337, -1910, -2713, -3746?
-5009
|
{
"pile_set_name": "DM Mathematics"
}
|
006
Calculate 688 divided by -8.
-86
0 divided by -41
0
What is 102 divided by 1?
102
Calculate -44 divided by -1.
44
Calculate -1 divided by -101.
1/101
Divide -2600 by -650.
4
Calculate 0 divided by 2589.
0
Calculate 5182 divided by -5182.
-1
Calculate 883 divided by -3.
-883/3
-204 divided by -1
204
-2 divided by 22
-1/11
What is 229 divided by -1?
-229
What is 8 divided by -7?
-8/7
Divide -745 by -149.
5
What is 822 divided by 411?
2
-2 divided by 95
-2/95
Calculate 72 divided by -4.
-18
Calculate -3620 divided by 724.
-5
Divide 262 by -5.
-262/5
-2 divided by -15
2/15
0 divided by 4237
0
Calculate -2 divided by -85.
2/85
-15663 divided by 5221
-3
What is -1 divided by 1746?
-1/1746
Calculate -7680 divided by -10.
768
Calculate -117 divided by -13.
9
What is 5 divided by -25?
-1/5
Calculate 243 divided by -15.
-81/5
What is -1545 divided by 4?
-1545/4
What is -34552 divided by -8638?
4
Calculate -59 divided by -1.
59
Divide 1102 by -1.
-1102
Calculate -2731 divided by 6.
-2731/6
Calculate -236 divided by 59.
-4
-195 divided by 5
-39
What is -4 divided by 11?
-4/11
What is -5 divided by 1973?
-5/1973
Calculate -52 divided by 4.
-13
Divide -3 by -639.
1/213
Divide 13 by 1.
13
What is -5946 divided by 1982?
-3
Calculate 1690 divided by -1690.
-1
What is -74 divided by 17?
-74/17
-321 divided by -3
107
What is -15 divided by 14?
-15/14
Calculate 19144 divided by -2393.
-8
Divide 170 by -3.
-170/3
What is -15 divided by -1?
15
623 divided by 2
623/2
-2 divided by 1501
-2/1501
Divide 352 by -44.
-8
-1650 divided by -33
50
Divide -1 by 3433.
-1/3433
Divide 5 by -83.
-5/83
-28 divided by -2
14
-2659 divided by -13
2659/13
Calculate -15 divided by -279.
5/93
Divide -1075 by -215.
5
Divide 6521 by -3.
-6521/3
What is 126 divided by -42?
-3
Divide 3459 by 4.
3459/4
What is -61 divided by -61?
1
-15253 divided by -2
15253/2
Calculate 0 divided by 95.
0
What is 246 divided by 3?
82
Divide 3410 by -55.
-62
What is -176 divided by -17?
176/17
Divide -4 by 120.
-1/30
Calculate 209 divided by 5.
209/5
What is 3 divided by 4119?
1/1373
8 divided by -10
-4/5
-1236 divided by 103
-12
Calculate 1 divided by -140.
-1/140
Divide -940 by -235.
4
Calculate -938 divided by 2.
-469
What is -150 divided by -3?
50
What is 27 divided by 6?
9/2
-8400 divided by 21
-400
237 divided by 3
79
What is 3 divided by 3853?
3/3853
Calculate -48 divided by -8.
6
1256 divided by 4
314
454 divided by 18
227/9
What is -1677 divided by -129?
13
Calculate 0 divided by -100.
0
What is 1760 divided by 20?
88
What is -28 divided by 101?
-28/101
294 divided by -98
-3
-16 divided by 88
-2/11
Calculate -240 divided by -80.
3
-2 divided by 371
-2/371
-5 divided by 293
-5/293
What is -4 divided by 152?
-1/38
What is -2814 divided by -3?
938
-4867 divided by -2
4867/2
Calculate -38 divided by 23.
-38/23
Divide -484 by 2.
-242
Calculate -85 divided by 17.
-5
Divide -14 by -429.
14/429
Calculate -2106 divided by 2106.
-1
What is 268 divided by 6?
134/3
Calculate 251540 divided by 4.
62885
Divide -1764 by 12.
-147
-578 divided by -34
17
What is -650 divided by -5?
130
What is -5411 divided by 1?
-5411
Calculate 438 divided by -3.
-146
Divide 3115 by 35.
89
Divide -4048 by -2.
2024
What is -24 divided by -24?
1
What is -5 divided by 983?
-5/983
Divide 4 by -2775.
-4/2775
What is 2 divided by -411?
-2/411
-14040 divided by -15
936
Divide 702 by -6.
-117
Calculate -988 divided by 19.
-52
Calculate 5969 divided by 1.
5969
Divide -1386 by -66.
21
6 divided by -4092
-1/682
Divide -4 by 139.
-4/139
Calculate -19205 divided by -3841.
5
75 divided by -1
-75
Calculate -324 divided by 36.
-9
-3 divided by 1
-3
Calculate -4 divided by 2627.
-4/2627
8 divided by -934
-4/467
0 divided by 199
0
Calculate 1809 divided by -5.
-1809/5
What is 1902 divided by -317?
-6
4 divided by 610
2/305
100 divided by -6
-50/3
Calculate -3 divided by -7236.
1/2412
What is -42 divided by 2?
-21
Divide 13707 by -9.
-1523
Calculate -7784 divided by -7784.
1
Divide -51 by 1.
-51
Divide -54 by -54.
1
Calculate -14328 divided by -4.
3582
Divide 0 by -134.
0
What is -966 divided by 322?
-3
Calculate -72 divided by 5.
-72/5
Calculate -95 divided by -109.
95/109
-3095 divided by -5
619
-7 divided by 115
-7/115
Calculate 2932 divided by -2.
-1466
399 divided by 3
133
Divide 60 by -1.
-60
-4 divided by -253
4/253
Calculate -303 divided by -303.
1
Calculate -88 divided by 8.
-11
Divide 27 by -27.
-1
5744 divided by 4
1436
Divide 10 by 277.
10/277
Calculate 3582 divided by 2.
1791
What is -240 divided by 15?
-16
Divide 4 by -165.
-4/165
-184 divided by -135
184/135
-45 divided by -3
15
What is 1886 divided by -46?
-41
5126 divided by 6
2563/3
596 divided by 5
596/5
What is 58 divided by -10?
-29/5
What is 18 divided by 6?
3
Divide 2 by -49.
-2/49
What is -1450 divided by 1?
-1450
Divide -37 by -6.
37/6
What is -18072 divided by -3012?
6
What is -6791 divided by 4?
-6791/4
Calculate 113 divided by 359.
113/359
Calculate 126 divided by 6.
21
What is 2 divided by 1615?
2/1615
Calculate -519 divided by 3.
-173
Calculate 3 divided by 44.
3/44
16 divided by -35
-16/35
Divide -3 by 1281.
-1/427
5154 divided by -6
-859
Divide -15 by -1841.
15/1841
Calculate -32320 divided by 8080.
-4
Calculate -5 divided by 467.
-5/467
Divide 2 by 5033.
2/5033
What is 1233 divided by 3?
411
Calculate 0 divided by -29.
0
Calculate 89 divided by -17.
-89/17
-16890 divided by 6
-2815
What is -449 divided by 2?
-449/2
-916 divided by 2
-458
696 divided by 4
174
What is 5 divided by 4?
5/4
What is 20618 divided by 1?
20618
Calculate -25128 divided by 698.
-36
Divide -116 by -58.
2
Divide 118 by 6.
59/3
What is 720 divided by 240?
3
Divide -504 by -4.
126
Divide -70 by 2.
-35
-4 divided by 52
-1/13
What is 423 divided by -47?
-9
Calculate 9 divided by -156.
-3/52
Divide -87 by 29.
-3
Divide -7 by -77.
1/11
What is 15 divided by 3?
5
Calculate -52 divided by -12.
13/3
Divide 13 by -7.
-13/7
What is -1170 divided by 65?
-18
-3103 divided by 2
-3103/2
Divide -1432 by -8.
179
Divide 3200 by -160.
-20
What is -3888 divided by -12?
324
-14 divided by -249
14/249
Calculate 29145 divided by -3.
-9715
Divide -17 by -3.
17/3
Calculate -1196 divided by 52.
-23
-4227 divided by 1409
-3
What is -10040 divided by 4?
-2510
Divide -44900 by -4.
11225
What is 140 divided by 35?
4
Calculate 1 divided by -115.
-1/115
Calculate 189 divided by 3.
63
What is 79 divided by -79?
-1
5176 divided by 8
647
-406 divided by -14
29
Divide -12 by 2.
-6
What is 0 divided by -89?
0
Calculate -3 divided by 2.
-3/2
What is -8 divided by -1?
8
Calculate 97182 divided by -6.
-16197
37 divided by 111
1/3
204 divided by -51
-4
What is 1270 divided by -4?
-635/2
Calculate -3 divided by 399.
-1/133
Divide 43 by -44.
-43/44
What is 5996 divided by -3?
-5996/3
1932 divided by 28
69
Divide 934 by 2.
467
Divide 28083 by -3.
-9361
-5 divided by -71
5/71
What is -8 divided by 362?
-4/181
What is -31 divided by -31?
1
Divide -4336 by 4.
-1084
What is 3189 divided by -1?
-3189
What is 2 divided by 387?
2/387
Divide -4748 by 4.
-1187
-11 divided by 719
-11/719
-84 divided by 3
-28
Divide -18995 by 6.
-18995/6
What is -4 divided by -883?
4/883
54 divided by 3
18
What is 375 divided by 16?
375/16
What is 2756 divided by -13?
-212
Calculate -5004 divided by -6.
834
Calculate -1166 divided by -583.
2
Calculate -480 divided by -480.
1
Divide 6345 by 5.
1269
What is -2 divided by -18?
1/9
Calculate 65 divided by 217.
65/217
Calculate -22 divided by 122.
-11/61
What is 0 divided by -391?
0
What is 108 divided by 4?
27
Divide -94752 by 6.
-15792
Divide -11589 by -3.
3863
Calculate 1560 divided by 780.
2
3936 divided by 6
656
What is 0 divided by 127?
0
What is -669 divided by -3?
223
Divide 1 by 94.
1/94
-5745 divided by 15
-383
What is -9 divided by 117?
-1/13
Divide -3178 by 4.
-1589/2
2 divided by 1281
2/1281
What is -21 divided by 2?
-21/2
Calculate -43 divided by -5.
43/5
What is -422 divided by -13?
422/13
What is -651 divided by 217?
-3
What is -9480 divided by -4?
2370
-6 divided by 1
-6
Calculate 0 divided by -392.
0
Calculate 270 divided by -6.
-45
Calculate 33 divided by -3.
-11
What is -479 divided by -2?
479/2
Divide -602 by 7.
-86
-85 divided by 5
-17
Divide -4294 by 1.
-4294
Calculate -31 divided by -7.
31/7
|
{
"pile_set_name": "DM Mathematics"
}
|
Let k(f) = 2*f**3 - 5*f**2 + f + 8. Calculate k(3).
20
Let f(y) = -y**2 - 2*y - 2. What is f(-7)?
-37
Let k(m) = -6*m - 1. Give k(-3).
17
Let o(v) = -2*v**2 + 40*v - 24. Give o(19).
14
Let i(l) = l**2 + 8*l - 5. Calculate i(-11).
28
Let m(d) = -d**3 + 20*d**2 - d + 64. Give m(20).
44
Let d(c) = c**3 - c**2 - 2*c - 53. Give d(0).
-53
Let m(l) = 5*l + 5. Determine m(4).
25
Let u(m) = -2*m**2 + 28*m - 16. Determine u(14).
-16
Let h(d) = d**2 - 5*d - 13. What is h(-3)?
11
Let k(z) = 2*z - 31. Determine k(17).
3
Let h(k) = 18*k + 82. What is h(-5)?
-8
Let l(m) = -82*m + 11. Calculate l(1).
-71
Let u(y) = 5*y - 3. What is u(3)?
12
Let s(p) = 4*p**2 - 6*p + 2. Give s(2).
6
Let f(h) = 7*h + 103. Give f(-15).
-2
Let f(h) = -5*h + 18. Give f(4).
-2
Let z(o) = -o**3 + 6*o**2 - 26*o + 105. Calculate z(5).
0
Let g(l) = -l**2 - 22*l - 94. Give g(-6).
2
Let x(i) = -i**3 + 9*i**2 - 9*i + 21. What is x(8)?
13
Let l(s) = s**2 + 3*s + 6. Calculate l(0).
6
Let v(h) = -h**3 - 7*h**2 + 2*h + 11. Determine v(-7).
-3
Let l(u) = u - 27. Determine l(8).
-19
Let u(n) = 16*n**2 - 4*n - 4. What is u(1)?
8
Let b(i) = -i**2 + 4*i - 3. Calculate b(7).
-24
Let u(p) = -p**3 + 5*p**2 + 2*p + 8. What is u(5)?
18
Let v(a) = a + 23. Determine v(-16).
7
Let z(l) = l**2 - 8*l - 1. Calculate z(8).
-1
Let y(h) = -h**2 - 35*h - 258. Calculate y(-25).
-8
Let u(f) = f**2 + f + 1. What is u(0)?
1
Let b(l) = l**3 - 30*l**2 - 60*l - 122. What is b(32)?
6
Let z(i) = -i**3 + 4*i**2 + 10*i + 10. Determine z(6).
-2
Let t(b) = b**2 - 9*b + 9. Give t(7).
-5
Let p(k) = -k + 1. Determine p(6).
-5
Let c(m) = m**3 - 2*m**2 - 7*m - 11. Determine c(4).
-7
Let y(p) = -p**2 + 3*p - 14. Determine y(3).
-14
Let a(c) = c**2 - 17*c + 18. Determine a(15).
-12
Let h(y) = -y + 29. What is h(4)?
25
Let a(d) = d**3 - 5*d**2 - 5*d - 10. Give a(6).
-4
Let p(w) = -w**2 - 10*w + 29. What is p(-12)?
5
Let u(i) = 2*i**2 - 28*i - 49. Calculate u(13).
-75
Let d(o) = o**2 - 8*o + 9. What is d(2)?
-3
Let j(k) = -k**2 + 6*k - 17. Calculate j(5).
-12
Let h(y) = y**2. Calculate h(-2).
4
Let v(m) = 77*m**3 - 5*m + 5. What is v(1)?
77
Let x(f) = 6*f - 2. What is x(-3)?
-20
Let b(j) = -j - 5. Determine b(-8).
3
Let f(d) = -d + 2. Calculate f(4).
-2
Let t(y) = -2*y + 22. Determine t(10).
2
Let p(w) = w**2 + 31*w + 31. What is p(-30)?
1
Let n(w) = w**3 - 6*w**2 - 16*w + 18. Calculate n(8).
18
Let y(a) = -a**3 + 16*a**2 + 3*a + 6. Calculate y(16).
54
Let o(u) = -3*u - 9. Give o(-4).
3
Let c(z) = 2*z + 6. Determine c(-6).
-6
Let r(v) = 7*v + 46. Give r(-6).
4
Let f(m) = -6*m + 62. Give f(9).
8
Let t(z) = -9*z**2 - z + 1. Give t(-2).
-33
Let w(z) = 3*z - 17. Determine w(4).
-5
Let z(w) = -w**3 + 6*w**2 + 9*w + 9. Calculate z(7).
23
Let u(t) = t - 13. Calculate u(-12).
-25
Let r(z) = 131*z + 1053. Calculate r(-8).
5
Let a(y) = 3*y**3 + 26*y**2 - 9*y - 2. What is a(-9)?
-2
Let y(q) = -6*q**3 - 3*q**2 - q. Calculate y(-2).
38
Let d(b) = b**2 + 11*b - 65. Determine d(5).
15
Let a(s) = s - 18. What is a(12)?
-6
Let c(r) = -r**2 - 30*r + 76. Determine c(-32).
12
Let j(o) = -5*o**2 - 4*o + 7. Determine j(2).
-21
Let k(m) = m**3 - 16*m**2 + 14*m + 31. Determine k(15).
16
Let n(t) = t + 8. Give n(-7).
1
Let t(d) = d**3 + 5*d**2 - 14*d - 13. Calculate t(-7).
-13
Let i(k) = 2*k**2 + 20*k + 46. Determine i(-6).
-2
Let x(g) = g**2 - 16*g - 4. Calculate x(13).
-43
Let g(c) = c**2 - 6*c - 12. Determine g(9).
15
Let r(m) = -m**2 + m + 89. What is r(-8)?
17
Let z(i) = i**2 + 6*i - 3. Give z(-7).
4
Let t(h) = -2*h**3 + 35*h**2 - 16*h - 8. Determine t(17).
9
Let z(w) = 32*w**3 + w. Determine z(-1).
-33
Let p(m) = m**3 - 13*m**2 + 12*m + 12. Determine p(12).
12
Let i(k) = -k + 11. Determine i(-7).
18
Let l(x) = -x**2 + 3*x - 1. What is l(4)?
-5
Let i(y) = -y**2 - 54*y + 44. Determine i(-55).
-11
Let c(i) = -6*i - 22. What is c(-5)?
8
Let q(v) = -v - 36. What is q(-22)?
-14
Let v(p) = p**2 + 10*p + 3. Give v(-7).
-18
Let v(l) = -8*l - 25. Give v(-2).
-9
Let k(f) = f**2 + 9*f - 1. Determine k(-10).
9
Let i(o) = o**2 + 16*o - 56. What is i(3)?
1
Let h(a) = 2*a**2 + 23*a + 17. Determine h(-11).
6
Let c(a) = a**3 - 5*a**2 + 2*a + 4. Calculate c(3).
-8
Let s(j) = 8*j - 52. Calculate s(7).
4
Let z(y) = y**3 - 11*y**2 - 29*y + 70. What is z(13)?
31
Let g(h) = h**2 + 6*h + 7. Give g(-5).
2
Let v(s) = s**2 + 6*s + 16. What is v(-4)?
8
Let b(c) = c**3 - c**2 - 42*c - 1. What is b(-6)?
-1
Let h(f) = -2*f - 49. Calculate h(-7).
-35
Let h(w) = -w**2 + 4*w + 79. What is h(10)?
19
Let l(s) = -s**3 - s**2 + s + 2. Determine l(2).
-8
Let p(a) = -6*a - 4. Give p(-6).
32
Let r(m) = m - 25. Give r(15).
-10
Let f(w) = 9*w - 7. Determine f(11).
92
Let b(s) = s**3 - 21*s**2 - 24*s + 53. Determine b(22).
9
Let i(d) = -30*d. Calculate i(-3).
90
Let k(z) = z**3 + 6*z**2 - 17*z - 7. Give k(-9).
-97
Let c(t) = -t**2 - t - 1. Calculate c(2).
-7
Let w(i) = -8*i**2 - 6*i - 10. What is w(-2)?
-30
Let m(o) = -12*o + 6. What is m(2)?
-18
Let l(g) = -2*g**2 - 3*g - 13. Give l(-4).
-33
Let u(o) = -o + 15. What is u(5)?
10
Let m(j) = -4*j - 2. Calculate m(5).
-22
Let a(s) = 6*s**3 - 25*s**2 - s - 1. Give a(4).
-21
Let l(m) = m**2 + 9*m - 88. Determine l(-15).
2
Let j(u) = 5*u**2 + 4*u + 3. Calculate j(-2).
15
Let o(l) = 4*l - 10. Determine o(10).
30
Let b(k) = 9*k + 2. Calculate b(-2).
-16
Let b(o) = -o**2 - 14*o - 32. Determine b(-11).
1
Let w(h) = h**2 + 8*h - 4. What is w(-8)?
-4
Let p(n) = -3*n + 10. Calculate p(0).
10
Let b(q) = q**3 + 5*q**2 - 2*q - 1. Give b(-6).
-25
Let n(v) = -v**2 - 3*v. Calculate n(2).
-10
Let m(n) = 6*n - 1. Give m(-1).
-7
Let u(b) = -7*b - 21. Give u(-6).
21
Let f(l) = 2*l**2 - 5*l + 9. What is f(6)?
51
Let q(n) = 5*n + 10. What is q(-7)?
-25
Let j(g) = -3*g - 12. Determine j(-6).
6
Let z(k) = k**2 + 26*k - 16. Calculate z(-27).
11
Let r(j) = 97*j + 566. Give r(-6).
-16
Let i(z) = 6*z - 40. What is i(7)?
2
Let j(u) = -10*u - 7. Determine j(3).
-37
Let o(c) = -c**3 - 11*c**2 + c - 1. What is o(-11)?
-12
Let p(i) = -i**2 + 4*i + 4. Determine p(4).
4
Let s(j) = 7*j**2 + 2*j - 5. Calculate s(4).
115
Let g(p) = -9*p**2 - 3*p - 1. Determine g(-1).
-7
Let i(a) = 2*a**2 + 12*a + 55. What is i(-5)?
45
Let q(z) = -z**3 + 6*z**2 - 2*z. What is q(4)?
24
Let j(z) = 4*z - 24. Calculate j(7).
4
Let g(m) = -7*m**3 - m**2 + 4*m - 3. Determine g(2).
-55
Let h(w) = w**2 - 11*w + 27. Give h(5).
-3
Let f(b) = b**2 + 154*b - 1126. Calculate f(7).
1
Let f(s) = s**3 + 9*s**2 + 5*s - 9. Determine f(-6).
69
Let a(b) = -27*b + 1625. Calculate a(60).
5
Let r(b) = b**2 + 19*b + 6. Calculate r(-20).
26
Let q(u) = 5*u + 1. Calculate q(-1).
-4
Let s(m) = -m**2 + 4*m - 10. Give s(8).
-42
Let g(c) = 37*c + 139. What is g(-4)?
-9
Let m(z) = -z + 15. Determine m(8).
7
Let j(u) = 4*u**2 - 3*u - 1. Give j(3).
26
Let q(a) = -a**2 + 18*a - 4. Determine q(17).
13
Let m(w) = -w**2 + 19*w - 50. Determine m(13).
28
Let m(k) = -19*k - 5. What is m(2)?
-43
Let d(g) = 5*g + 212. Determine d(-42).
2
Let t(y) = y**2 - 4*y + 2. Determine t(3).
-1
Let d(s) = 3*s**3 + s - 1. What is d(1)?
3
Let t(d) = d**3 - 2*d**2 - 3*d - 2. Calculate t(-2).
-12
Let w(q) = -4*q - 7. Determine w(12).
-55
Let g(f) = -f**3 - 4*f**2 - 2*f - 3. What is g(-3)?
-6
Let s(q) = -q. Calculate s(12).
-12
Let o(j) = 6*j + 138. Give o(-39).
-96
Let p(y) = 3*y + 5. Determine p(-3).
-4
Let b(u) = -u**2 - 7*u + 8. Determine b(0).
8
Let c(x) = x**3 - 11*x**2 + 10*x + 10. Determine c(10).
10
Let p(c) = -5*c**3 + 215*c**2 - c + 48. Determine p(43).
5
Let n(s) = 4*s + 32. Calculate n(-13).
-20
Let z(n) = n**3 - 9*n**2 - 11*n + 9. Calculate z(10).
-1
Let j(y) = y**2 - 8*y - 14. Determine j(6).
-26
Let r(j) = -7*j + 3. Give r(2).
-11
Let m(s) = -s**3 + 4*s**2 + 5*s + 1. Give m(5).
1
Let q(z) = z**2 - 11*z + 9. What is q(9)?
-9
Let c(j) = -4*j**2 - 3*j + 18. What is c(2)?
-4
Let k(q) = -17*q - 14. Determine k(-5).
71
Let h(u) = -u - 42. Determine h(-34).
-8
Let s(k) = -k**3 + 13*k**2 - 19*k + 100. Calculate s(12).
16
Let j(t) = 2*t**2 - 14*t - 168. What is j(-6)?
-12
Let u(j) = j**2 + 4*j + 2. Determine u(4).
34
Let c(i) = -23*i + 210. Determine c(9).
3
Let y(m) = -14*m - 15. Determine y(-4).
41
Let r(o) = -o**2 - 47*o - 458. What is r(-14)?
4
Let p(d) = -2*d**2 - 14*d + 9. Determine p(-8).
-7
Let s(p) = p**3 - 10*p**2 + 12*p - 33. Calculate s(7
|
{
"pile_set_name": "DM Mathematics"
}
|
, what is 26 + -336?
-310
In base 5, what is -312 + 2424?
2112
In base 3, what is -111010222 + -101?
-111011100
In base 9, what is -2 - -67847?
67845
In base 13, what is -1 + 53b?
53a
In base 13, what is 5 - 41?
-39
In base 12, what is -12b060 - 1?
-12b061
In base 10, what is 28 - 2171?
-2143
In base 9, what is -5 + -55014?
-55020
In base 16, what is 6f5a + 71?
6fcb
In base 14, what is -1 + -5baa?
-5bab
In base 12, what is 68 - -b0?
158
In base 14, what is 1d7 + 7ca?
9c3
In base 4, what is -11113 - 30?
-11203
In base 5, what is -13 - -202233?
202220
In base 11, what is 76 + 1545?
1610
In base 5, what is 2 - -241411?
241413
In base 6, what is -1534 - 3313?
-5251
In base 11, what is 100 - -7a21?
8021
In base 7, what is 133411 + -5?
133403
In base 4, what is 11 + 11223032?
11223103
In base 4, what is -102 - -121301322?
121301220
In base 2, what is 1000111 + -110001011?
-101000100
In base 16, what is -28621 - -3?
-2861e
In base 11, what is 42 - -60492?
60524
In base 10, what is -4 - 97067?
-97071
In base 15, what is -b + 461?
455
In base 7, what is 26 - 145300?
-145241
In base 3, what is 1012 + 200211011?
200212100
In base 9, what is 164 - 211?
-36
In base 16, what is 20 - b8f?
-b6f
In base 5, what is 411 + 101343?
102304
In base 3, what is -12 - 2002211012?
-2002211101
In base 6, what is 2 - 14113?
-14111
In base 7, what is 1364 + -1020?
344
In base 13, what is 54 - -316?
36a
In base 15, what is -783d6 - -4?
-783d2
In base 9, what is 3532 + -5?
3526
In base 7, what is -23505425 - -1?
-23505424
In base 6, what is 142400 - -2?
142402
In base 3, what is 20221 + 1112?
22110
In base 4, what is -213 + -323?
-1202
In base 7, what is 14606411 + 5?
14606416
In base 4, what is 1323 - 313331?
-312002
In base 3, what is 11010 + -10010?
1000
In base 4, what is 1310 + 10?
1320
In base 3, what is 11 - 2120112011212?
-2120112011201
In base 8, what is -5610 - 4?
-5614
In base 16, what is -2 + -33aa?
-33ac
In base 4, what is 2 + -110310?
-110302
In base 14, what is -15d5 + -2d?
-1624
In base 16, what is 3 - a66?
-a63
In base 4, what is -132 - -1010011?
1003213
In base 6, what is 502 - 3141?
-2235
In base 14, what is 43 + -58c9?
-5886
In base 12, what is 5 + 185?
18a
In base 10, what is 1 + 18937?
18938
In base 12, what is 203b0 - 74?
20338
In base 6, what is -4533 + -31350?
-40323
In base 5, what is -232222 - -144?
-232023
In base 6, what is 1322522 - -3?
1322525
In base 3, what is 10 - 1212010110?
-1212010100
In base 15, what is b32ea + 3?
b32ed
In base 7, what is 0 + 651615?
651615
In base 12, what is -15 + 19036?
19021
In base 5, what is -14 - -4111304?
4111240
In base 16, what is -25 - -2b7?
292
In base 10, what is -40585 + 0?
-40585
In base 5, what is -111432 + 133?
-111244
In base 3, what is 1100020002 - -202?
1100020211
In base 2, what is -101111 - -100101111011?
100101001100
In base 12, what is 868 - -20?
888
In base 5, what is 440 + -32344?
-31404
In base 14, what is 12 + -12b4?
-12a2
In base 4, what is -32313103 - 20?
-32313123
In base 5, what is 40240 - 23?
40212
In base 9, what is 6 + -1880?
-1873
In base 5, what is 3 - -4243042?
4243100
In base 12, what is -30a9 - -2?
-30a7
In base 10, what is -2582 - 105?
-2687
In base 12, what is -4320 - 56?
-4376
In base 5, what is -210 + -24022?
-24232
In base 3, what is -10121 - 111122?
-122020
In base 8, what is 346 + 74?
442
In base 6, what is 125 - -2114?
2243
In base 9, what is -2 + -35745?
-35747
In base 10, what is 37 - -33005?
33042
In base 2, what is 100110000 - 111011000101?
-110110010101
In base 12, what is a83 + -8b0?
193
In base 13, what is -101886 - 0?
-101886
In base 9, what is 5 - 16425?
-16420
In base 11, what is 1 - -9514?
9515
In base 11, what is 26 + 32030?
32056
In base 8, what is 1113 - 741?
152
In base 13, what is 5b + 13c?
19a
In base 16, what is 2169 + 15?
217e
In base 6, what is -3 - -300025?
300022
In base 3, what is 21 + 21000101202?
21000102000
In base 5, what is 10 + 42230134?
42230144
In base 14, what is -8 + -7220?
-7228
In base 12, what is 150 - 95?
77
In base 3, what is -10022 + -2101222?
-2112021
In base 7, what is 5 - 31165?
-31160
In base 7, what is 20634 - -2?
20636
In base 6, what is -2 + -33151?
-33153
In base 14, what is -34 + 673?
63d
In base 12, what is 0 + 58689?
58689
In base 15, what is 49 + 3723?
376c
In base 15, what is 5 + -1c322?
-1c31c
In base 11, what is 9 + 216793?
2167a1
In base 3, what is -12022001210 + 2?
-12022001201
In base 11, what is 46 + 51?
97
In base 8, what is -10424 + -15?
-10441
In base 15, what is 1c2c8 - d?
1c2ba
In base 2, what is -1001111110 - -11010001?
-110101101
In base 14, what is -16 - -3a94?
3a7c
In base 13, what is -11c - a3?
-1c2
In base 2, what is 1111000011 - 1101000?
1101011011
In base 4, what is -130 - -123013?
122223
In base 3, what is -221211 + -10011?
-1001222
In base 4, what is 10 + 1203231003?
1203231013
In base 12, what is 144b4 - 41?
14473
In base 7, what is 63 + 124566?
124662
In base 16, what is 2 + -47ad?
-47ab
In base 12, what is 798a + 4?
7992
In base 6, what is 0 + 3314005?
3314005
In base 11, what is 520 + 4a?
56a
In base 6, what is 1541202 + 3?
1541205
In base 15, what is -478d + 4?
-4789
In base 4, what is -1100 + 10200?
3100
In base 15, what is 1 - -ba894?
ba895
In base 7, what is -1512251 + -30?
-1512311
In base 3, what is 121011 + 10000?
201011
In base 15, what is b - -2ded?
2e09
In base 13, what is 3a - 394?
-357
In base 11, what is 2 + 50a3?
50a5
In base 6, what is 10 + 125253?
125303
In base 3, what is -11 - 2011102202?
-2011102220
In base 7, what is 11041 - -223?
11264
In base 10, what is 363 + 143?
506
In base 10, what is 20 - -2009?
2029
In base 9, what is -5370 + -37?
-5417
In base 16, what is -43e - 139?
-577
In base 5, what is -122334 + 2323?
-120011
In base 13, what is 10 - 16224?
-16214
In base 6, what is 310215 + -14?
310201
In base 10, what is 3 - -123175?
123178
In base 7, what is 220451 + -2?
220446
In base 7, what is -116 - 560313?
-560432
In base 2, what is 10 - -111110000001?
111110000011
In base 12, what is 11031 + -116?
10b17
In base 12, what is 4 + 4b9161?
4b9165
In base 8, what is 5 + -2124053?
-2124046
In base 10, what is -1245 + -46?
-1291
In base 4, what is -120032202 - -1?
-120032201
In base 12, what is -6 + -a281?
-a287
In base 4, what is -122012010102 + -1?
-122012010103
In base 16, what is 5f1 + 4e?
63f
In base 4, what is 33 - -10322?
11021
In base 14, what is -d2 + 13a?
48
In base 14, what is 13 - 2216?
-2203
In base 9, what is -6 + 815?
808
In base 5, what is 30421 + -242?
30124
In base 10, what is 517189 - 3?
517186
In base 12, what is -96a34 + -5?
-96a39
In base 13, what is -7a + 1649?
159c
In base 13, what is -36c991 + -2?
-36c993
In base 9, what is -5848 + -5?
-5854
In base 14, what is 638d - -d9?
6488
In base 8, what is 1432 + -1101?
331
In base 16, what is -84 + b7e?
afa
In base 14, what is -2500 + 0?
-2500
In base 2, what is -11100110001000 - 1?
-11100110001001
In base 11, what is 194889 - -5?
194893
In base 10, what is -3375 - -1345?
-2030
In base 3, what is 2012001110 - -22?
2012001202
In base 8, what is 256546 + 5?
256553
In base 7, what is -1242430 + 25?
-1242402
In base 13, what is -19 + 1b7?
19b
In base 4, what is 211 + 1100132?
1101003
In base 10, what is 458 + 1770?
2228
In base 12, what is -946881 + 3?
-94687a
In base 12, what is -2887 - 20?
-28a7
In base 12, what is -1 + b9b9?
b9b8
In base 16, what is 4b9 - 1?
4b8
In base 12, what is 2 - -3001?
3003
In base 11, what is 1013 - 65a?
464
In base 3, what is 2010002 - 11210?
1221022
In base 12, what is -4835 + -5?
-483a
In base 16, what is -19 - e5f?
-e78
In base 10, what is 25 - -5829?
5854
In base 4, what is 1230133130 + 1?
1230133131
In base 15, what is -9 - -ac3?
ab9
In base 12, what is 0 - 448395?
-448395
In base 5, what is -13240020 + -1?
-13240021
In base 7, what is -614 + -36620?
-40534
In base 2, what is -11000111000100011 + -10?
-11000111000100101
In base 11, what is 3 + -173a9?
-173a6
In base 11, what is -2 - 754?
-756
In base 11, what is -158 + 14?
-144
In base 16, what is 237d + 11?
238e
In base 4, what is -3 + 1100222323?
1100222320
In base 8, what is 51407 - 5?
51402
In base 7, what is 35 - -66346?
66414
In base 5, what is -101100 + -22?
-101122
In base 2, what is 11 + -101100100?
-101100001
In base 12,
|
{
"pile_set_name": "DM Mathematics"
}
|
l places.
-0.002
Suppose -41*g - 23*g = -27161600. What is g rounded to the nearest 100000?
400000
Let b(o) = 318*o**3 - 9*o**2 + 10*o. Let j be b(-10). Let q be (-1)/((0 - -2) + 638001/j). What is q rounded to the nearest ten thousand?
320000
Let a = -124 - -124.137. Let b = 0.291 - a. Round b to 2 dps.
0.15
Let g = 44 - 40.52. Let c = -0.08 + g. Let z = 3.3999954 - c. Round z to six decimal places.
-0.000005
Let b(j) be the second derivative of 337*j**5/5 + j**4/4 - 5*j**3/3 + 16*j. Let o be b(-6). What is o rounded to the nearest 10000?
-290000
Let b(k) = 7778*k**3 + 5*k**2 - 6*k - 18. Let t be b(-2). Round t to the nearest 1000.
-62000
Let o = 0.939 - 116.659. Round o to 0 decimal places.
-116
Let y = -0.1029 + 0.15798. Let h = y + -0.055. What is h rounded to 4 decimal places?
0.0001
Let a = -89.2995709 - -89.3. Round a to five dps.
0.00043
Let r = 5843953 - 4067789. Suppose -3*c = 225164 - r. What is c rounded to the nearest one hundred thousand?
500000
Suppose -4*v - 78854 = -3*d + 5077, 5*d + 2*v = 139885. Suppose 5*s + d = 3*b + 158486, 4*b = -5*s + 130488. What is s rounded to the nearest one thousand?
26000
Let l = -1.497 - 20.183. What is l rounded to zero dps?
-22
Let s = 24 - 29.1. Let j = s + 6. Let l = 0.899966 - j. What is l rounded to five decimal places?
-0.00003
Suppose r = -5*t + 6*t + 1016, t - 3064 = -3*r. Suppose -4*f + r = 4*y, -2*f - 3*f + 1273 = 3*y. Round f to the nearest one hundred.
300
Let d = 207.0087 + -207. Let p = -24.0913 - d. What is p rounded to the nearest 10?
-20
Let x = -0.01293 + 459.91293. Round x to the nearest 10.
460
Suppose f + 3*v = 6*f + 5004, 0 = 4*f - 4*v + 4000. What is f rounded to the nearest ten?
-1000
Let t = 3.23 - -0.15. Let n = t - 172.38. Let l = 169.000089 + n. Round l to 5 dps.
0.00009
Suppose 5*d + 0 = 10. Let m be 3/((-3)/d) + 30. Let w = m - 12. What is w rounded to the nearest ten?
20
Let h = 4327 + -4326.9994001. Round h to 4 decimal places.
0.0006
Suppose 797040 = 36*u + 36*u. What is u rounded to the nearest 1000?
11000
Let d(q) = q**2 + 17*q - 62. Let t be d(-20). Let u(j) = -43*j - 4. Let x be u(t). What is x rounded to the nearest 10?
80
Let x(f) = 1530*f + 140. Let q be x(-17). What is q rounded to the nearest one thousand?
-26000
Let b = 9701 - 9701.8461. What is b rounded to 1 dp?
-0.8
Let h = 1153236 - 1153242.124056. Let v = -1.87594 + h. Let y = v - -8. Round y to five dps.
0
Let v = 280 - 719. Let n = -439.0000486 - v. Round n to 5 dps.
-0.00005
Let o(d) = 31*d**3 + 4*d**2 - 17*d + 8. Let r be (-9)/(-9)*(-8)/(-1). Let i be o(r). Round i to the nearest ten thousand.
20000
Let x = 10353.53 - 3399.11. Let l = 6951.619978 - x. Let h = l - -2.8. What is h rounded to five dps?
-0.00002
Let x = 260 - 260.0001. What is x rounded to 5 dps?
-0.0001
Let j = -519064 - -519063.8950202. Let m = j - -0.105. Round m to six decimal places.
0.00002
Let w = -0.47 + 19.47. Let h = 18.999788 - w. What is h rounded to five decimal places?
-0.00021
Let z be 56186 - (2 + -2)/(7 + -4). Let y = z + 143814. Round y to the nearest one hundred thousand.
200000
Let r = -0.4 - -0.489. Let u = 0.245 - r. What is u rounded to 2 decimal places?
0.16
Suppose -x + 4*x + 2*u = -21840008, 4*x = -4*u - 29120016. Round x to the nearest one hundred thousand.
-7300000
Suppose -14*i - 12000 = -10*i. Round i to the nearest 10000.
0
Let n = -36.26 - 0.74. Let g = n - -37.00068. Round g to four dps.
0.0007
Let z = -313 - -104. Let w = z - -208.9999871. What is w rounded to 6 decimal places?
-0.000013
Let f = -17 + 17.19. Let t = f - 1.24. Let y = t + 0.993. Round y to 2 decimal places.
-0.06
Let s = 0.093 - 257.493. Let f = -194 - s. What is f rounded to the nearest 10?
60
Let j = -33011431999.39896 + 33045289194.68895838. Let w = -33857196 + j. Let s = w + 0.71. Round s to seven decimal places.
-0.0000016
Let m = -300 + 299.9626. Round m to 3 decimal places.
-0.037
Let i(v) = -v**2 - 1. Let m(f) = -5*f**2 + 3*f - 2224. Let o(s) = 4*i(s) - m(s). Let n be o(0). Round n to the nearest one hundred.
2200
Let r = 39525 - 22125. Round r to the nearest ten thousand.
20000
Let w = 26629180 - 44934497. Let c = w - 9394683. What is c rounded to the nearest one million?
-28000000
Let k = 2498.967 + -2500. Round k to one decimal place.
-1
Let a = -8 - -10. Suppose 0*t = 2*o - 4*t - 6, 0 = 4*o + a*t + 18. Let m = 47 - o. What is m rounded to the nearest 100?
100
Let u be (-1)/2 - 4692/(-24). Suppose 6*a = 45 - u. Round a to the nearest 10.
-30
Let z = -0.125 - -0.1. Let q = 0.112 + z. Round q to two decimal places.
0.09
Let y = -4 - -4.034. Let z = y - 1.134. Round z to 1 decimal place.
-1.1
Let f = -0.05792 + 0.058. What is f rounded to 6 dps?
0.00008
Let t be ((-7)/21)/(2/(-18)). Suppose -3*w - 15 = 0, -m = w + t*w + 19. Let p(r) = -2599998*r - 2. Let z be p(m). Round z to the nearest 1000000.
-3000000
Let j = 16 + 44. Let k = -115 + j. Let b = 55.00000186 + k. Round b to 7 dps.
0.0000019
Let s = -3 + 9. Let o(l) = 22*l**2 + 6*l - 6. Let j be o(s). Let g be -1 + -1 + j/1. Round g to the nearest one hundred.
800
Let d = -1.7 - -1.5. Let v = -12.2 - d. Let s = -11.99999875 - v. Round s to 7 decimal places.
0.0000013
Let c = 1.073 + -0.023. Let n = 4.83 - c. Let h = n + -2.17. Round h to one decimal place.
1.6
Let s = 165.9 + -106.6. Let q = s + -59.300253. What is q rounded to five decimal places?
-0.00025
Let r = 8803 + -8810.406. What is r rounded to 0 dps?
-7
Let g = -3 - -4. Let i be (-2 - -3)*g*-1. Let o be (-28)/(-8) + i/2. Round o to the nearest integer.
3
Suppose -l - 741 = 34. Let t = l - -549. Round t to the nearest 10.
-230
Suppose 3*a - 15 = -3. Suppose -5*j + 211 = -a*u, 4*u - 24 + 118 = 2*j. Suppose -j*c = -38*c - 5000. Round c to the nearest 1000.
5000
Let y = 26.35 - 27. Let d = 0.4479946 + 0.2020021. Let k = y + d. What is k rounded to six decimal places?
-0.000003
Let r = 3384.1 + -2945. What is r rounded to the nearest one hundred?
400
Let r(p) = -2*p - p - 365*p**2 - 365*p**2 + 132*p**2 - 4. Let v be r(-2). Round v to the nearest one hundred.
-2400
Let v = 7.3 - 32.3. Let u = 25.000000672 + v. What is u rounded to seven dps?
0.0000007
Let i = 3872421.5 + -3872416.2000022. Let b = i - 5.3. What is b rounded to seven dps?
-0.0000022
Suppose -4*o = -x + 3*x + 6636006, -o + 3*x - 1658991 = 0. Round o to the nearest 100000.
-1700000
Let i(j) = 22687*j**3 + 10*j**2 - 23*j - 10. Let k be i(5). What is k rounded to the nearest one hundred thousand?
2800000
Let k = -0.232 - 0.077. What is k rounded to two decimal places?
-0.31
Let g = 877.2 - 806. Round g to the nearest integer.
71
Let y(k) = 17244*k**2. Let b be y(6). Suppose 9*l + 1303920 = 4*l. Let x = b + l. What is x rounded to the nearest one hundred thousand?
400000
Let g = -25650 - -89309. Suppose -2*m - 254654 = -4*y + m, 0 = -y + 3*m + g. Suppose 0 = w + y + 756335. What is w rounded to the nearest 100000?
-800000
Let s = -22 + 26. Suppose 0*b = -2*b + s. Suppose -5*h - 5*z - 43499985 = 0, 5*h - z - b*z + 43500009 = 0. Round h to the nearest 1000000.
-9000000
Let d = -88 - -39. Let t = d - -49.00000462. Round t to 7 dps.
0.0000046
Let z = -3 + 4. Let j = -0.2725 + -0.7267. Let a = z + j. Round a to 3 decimal places.
0.001
Let x = -3377.442 + 3681.4791. Let m = x + -304. Round m to three decimal places.
0.037
Let o(t) be the second derivative of -212500*t**4/3 + t**3/6 - t**2 - 16*t. Let v = -6 - -8. Let r be o(v). What is r rounded to the nearest one million?
-3000000
Let a = 1738058 + -5238058. Round a to the nearest 1000000.
-4000000
Suppose u - 4*b = 2*u - 32246, 0 = 4*u + 2*b - 129040. Let i = u - 55262. What is i rounded to the nearest 10000?
-20000
Let t = -768290659 + 768290317.0000346. Let r = t + 342. Round r to six dps.
0.000035
Let v = 8113 - 4133. What is v rounded to the nearest 1000?
4000
Let t = -0.0974 - 6.6146. Let j = t - -6.7. Round j to 1 dp.
0
Suppose -x - 258 - 1117 = 0. Let b be x/((85/(-1200))/(-17)). Round b to the nearest one hundred thousand.
-300000
Suppose -952*f + 939*f = 276276000. What is f rounded to the nearest 1000000?
-21000000
Let y = 584340 - 584340.3199828. Let c = 3.68 - 4. Let x = c - y. What is x rounded to six decimal places?
-0.000017
Let r = -4.3647 + -0.0153. Let l = -4.380000191 - r. What is l rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon multiple of 144 and 8712.
17424
Calculate the smallest common multiple of 9894 and 342.
563958
Calculate the common denominator of 91/49466 and -51/14.
346262
What is the common denominator of -13/15 and -41/103740?
103740
Find the common denominator of 25/1067 and -19/66736.
734096
Find the common denominator of -85/147484 and 45/22.
1622324
Calculate the common denominator of 31/123097 and 3/50687.
861679
Find the common denominator of -103/16112 and 37/26182.
209456
What is the common denominator of 55/648 and -119/1572?
84888
What is the least common multiple of 6729 and 13458?
13458
Calculate the common denominator of 127/2002 and -139/192192.
192192
What is the least common multiple of 18238 and 829?
18238
Calculate the common denominator of 125/2142 and 109/10948.
98532
What is the common denominator of -151/127224 and -39/217?
890568
Find the common denominator of -119/48 and -115/11616.
11616
What is the common denominator of 151/8700 and 193/12180?
60900
What is the lowest common multiple of 294 and 307279?
1843674
Calculate the smallest common multiple of 22820 and 3423.
68460
Calculate the common denominator of 9 and -17/100329.
100329
What is the least common multiple of 1115 and 3568?
17840
What is the smallest common multiple of 195 and 15405?
15405
Calculate the lowest common multiple of 4900 and 2240.
78400
What is the least common multiple of 60802 and 1533?
13315638
Find the common denominator of 88/3801 and -61/4706.
98826
Calculate the common denominator of -61/8638 and 29/672.
414624
What is the smallest common multiple of 7 and 36?
252
Calculate the lowest common multiple of 75 and 89643.
2241075
What is the least common multiple of 71709 and 583?
71709
Calculate the common denominator of -179/330 and 113/1155.
2310
What is the lowest common multiple of 747 and 30270?
7537230
Calculate the common denominator of 31/814 and 127/1716.
63492
What is the least common multiple of 296348 and 5863?
3259828
Calculate the common denominator of 113/64140 and -95/166764.
833820
What is the lowest common multiple of 153792 and 2848?
153792
Find the common denominator of -17/28 and 24/224875.
899500
Calculate the common denominator of 27/4 and 43/10434.
20868
Calculate the common denominator of -73/80871 and -63/4.
323484
What is the common denominator of 105/352 and -26/671?
21472
Calculate the least common multiple of 33596 and 23.
772708
Find the common denominator of -95/16 and 127/24312.
48624
What is the least common multiple of 2601 and 24480?
416160
What is the lowest common multiple of 109798 and 1066?
109798
What is the lowest common multiple of 5995 and 159140?
1750540
What is the smallest common multiple of 400 and 80850?
646800
What is the smallest common multiple of 150066 and 6352?
1200528
What is the common denominator of -1/88 and 43/52501?
4620088
Calculate the lowest common multiple of 924 and 1.
924
What is the lowest common multiple of 8628 and 23727?
94908
What is the least common multiple of 81906 and 2?
81906
Calculate the common denominator of 145/6 and -101/1820632.
5461896
Find the common denominator of -48/4631 and -19/7578.
83358
Calculate the common denominator of -41/2200 and 79/880000.
880000
Find the common denominator of 21/1100 and -9/12800.
140800
Calculate the common denominator of 49/26 and 41/199.
5174
Calculate the least common multiple of 1471189 and 57.
4413567
What is the smallest common multiple of 60434 and 5494?
60434
Calculate the smallest common multiple of 71408 and 88.
785488
What is the common denominator of 85/7728 and 17/736?
15456
Calculate the least common multiple of 50181 and 12.
200724
Calculate the lowest common multiple of 77 and 56.
616
What is the common denominator of -89/296658 and -36/181291?
3263238
Calculate the common denominator of -5/221552 and 75/26.
2880176
What is the common denominator of -119/13164 and 37/8?
26328
Calculate the smallest common multiple of 5 and 180212.
901060
Calculate the lowest common multiple of 1008 and 896.
8064
What is the smallest common multiple of 55020 and 12?
55020
What is the common denominator of -137/23520 and -37/288?
70560
Calculate the smallest common multiple of 5933 and 10.
59330
What is the common denominator of 97/11816 and 89/2?
11816
Find the common denominator of 137/153810 and -32/45.
153810
Find the common denominator of -33/8864 and -9/1528.
1693024
Calculate the lowest common multiple of 6 and 181488.
181488
What is the common denominator of -33/100520 and 43/120?
301560
What is the common denominator of -109/945 and -67/2996?
404460
What is the common denominator of -107/13908 and -17/1830?
69540
What is the smallest common multiple of 16880 and 320?
67520
What is the smallest common multiple of 966158 and 22?
10627738
What is the common denominator of -41/17304 and -41/27192?
190344
Calculate the lowest common multiple of 175 and 242725.
242725
Calculate the smallest common multiple of 5 and 198138.
990690
Calculate the common denominator of 58/14469 and 47/65.
72345
What is the smallest common multiple of 35868 and 8820?
538020
Find the common denominator of -127/8280 and -37/45.
8280
Calculate the least common multiple of 388848 and 194424.
388848
Calculate the common denominator of 23/77170 and 37/15.
231510
Calculate the lowest common multiple of 10425 and 4587.
114675
What is the common denominator of -181/86400 and -101/6?
86400
What is the lowest common multiple of 495 and 170478?
852390
What is the smallest common multiple of 5280 and 90?
15840
What is the smallest common multiple of 70 and 56875?
113750
Calculate the lowest common multiple of 4632 and 576.
111168
Find the common denominator of 14/207 and -37/54072.
1243656
Calculate the common denominator of 33/344 and -65/8.
344
Find the common denominator of -89/42310 and -16/63465.
126930
What is the common denominator of -61/9 and 19/642195?
642195
Find the common denominator of -83/384 and 55/156.
4992
What is the least common multiple of 791 and 77857?
544999
Calculate the least common multiple of 971219 and 11.
10683409
What is the smallest common multiple of 121770 and 28413?
852390
Calculate the lowest common multiple of 1200 and 94480.
1417200
What is the common denominator of -13/13656 and -149/252636?
505272
What is the common denominator of -14/99 and -53/145035?
145035
What is the lowest common multiple of 12 and 1134?
2268
Calculate the common denominator of -73/1773651 and -16/3.
1773651
Calculate the common denominator of -47/141396 and -5/66.
1555356
What is the least common multiple of 42115 and 11?
463265
What is the common denominator of -32/26733 and -55/3752?
213864
Find the common denominator of -79/372 and 109/260.
24180
What is the smallest common multiple of 7749 and 81?
23247
What is the smallest common multiple of 1840 and 920?
1840
What is the lowest common multiple of 165 and 13335?
146685
Find the common denominator of 53/102 and -169/5340.
90780
Calculate the lowest common multiple of 6780 and 11865.
47460
Calculate the smallest common multiple of 26796 and 89320.
267960
Calculate the least common multiple of 77 and 35098.
386078
Find the common denominator of -85/93984 and -173/672.
657888
What is the common denominator of -101/36990 and -113/102?
628830
What is the least common multiple of 925296 and 43764?
6477072
Find the common denominator of 8/1389 and 155/246.
113898
What is the common denominator of -139/63342 and -151/1530?
316710
Calculate the smallest common multiple of 306208 and 7.
306208
What is the common denominator of 17/234 and -137/223392?
670176
What is the common denominator of -19/4800 and -29/23640?
945600
Calculate the least common multiple of 1872 and 15600.
46800
What is the smallest common multiple of 1275519 and 294?
2551038
Calculate the common denominator of -145/295956 and -2/90431.
3255516
What is the smallest common multiple of 20784 and 9526?
228624
Calculate the common denominator of 3/484862 and -49/4696.
1939448
Find the common denominator of 47/6678 and -103/1787478.
5362434
What is the smallest common multiple of 1226 and 42?
25746
Calculate the smallest common multiple of 296802 and 107928.
1187208
Calculate the common denominator of 77/730 and -13/16425.
32850
What is the c
|
{
"pile_set_name": "DM Mathematics"
}
|
-84886868, -84886867, -84886866, -84886865, -84886864, -84886863?
-84886862
What is next in -94065, -190222, -286379, -382536?
-478693
What is the next term in 35447, 35452, 35457, 35462, 35467?
35472
What is the next term in 8151, 22089, 36027, 49965?
63903
What is the next term in -31385, -31415, -31449, -31493, -31553, -31635, -31745?
-31889
What is next in -185052, -371363, -557674, -743985, -930296?
-1116607
What is next in 1095291, 2190582, 3285873, 4381164, 5476455?
6571746
What comes next: -115831, -231710, -347597, -463498, -579419?
-695366
What is the next term in -11836854, -23673719, -35510584, -47347449, -59184314?
-71021179
What is next in -2130398, -4260753, -6391064, -8521331, -10651554?
-12781733
What comes next: 11197334, 22394716, 33592098, 44789480, 55986862?
67184244
What is next in -252161, -503429, -754697, -1005965, -1257233, -1508501?
-1759769
What is the next term in 2580, 2699, 2860, 3075, 3356, 3715, 4164, 4715?
5380
What is next in -75640, -74978, -74316?
-73654
What comes next: 292237, 292481, 292725, 292969, 293213?
293457
What comes next: 7528, 14894, 22260, 29626?
36992
What is next in 16012, 58310, 128820, 227548, 354500, 509682, 693100, 904760?
1144668
What comes next: -3169064, -3169062, -3169060?
-3169058
What is next in 7030339, 14060674, 21091009, 28121344?
35151679
What comes next: -52016, -207416, -466200, -828374, -1293944, -1862916, -2535296?
-3311090
What is the next term in -123610, -247615, -371624, -495637, -619654, -743675, -867700?
-991729
What comes next: 21278, 85884, 193550, 344276, 538062?
774908
What is the next term in -28138210, -28138211, -28138212?
-28138213
What comes next: -40559, -40252, -39737, -39014, -38083, -36944, -35597?
-34042
What is the next term in -5267, -5202, -5127, -5036, -4923, -4782, -4607, -4392?
-4131
What comes next: -2969861, -2969701, -2969541, -2969381, -2969221?
-2969061
What comes next: -10737, -17036, -23335, -29634, -35933?
-42232
What comes next: -25809992, -25809987, -25809982, -25809977?
-25809972
What is the next term in 397556, 397551, 397544, 397535, 397524, 397511, 397496?
397479
What is next in -822, 594, 2940, 6222, 10446, 15618, 21744?
28830
What is next in -27618, -27751, -27974, -28287?
-28690
What is next in -26032, -104299, -234740, -417355, -652144, -939107?
-1278244
What is the next term in -73968, -295852, -665650, -1183362?
-1848988
What is next in -682413488, -1364826975, -2047240462?
-2729653949
What is the next term in 779242, 3116988, 7013254, 12468052, 19481394, 28053292, 38183758, 49872804?
63120442
What is the next term in 7269, 17223, 27177?
37131
What is next in -13082, -26180, -39244, -52256, -65198, -78052?
-90800
What is next in 9218, 28003, 46788, 65573, 84358?
103143
What is the next term in -86549, -173078, -259609, -346142, -432677?
-519214
What comes next: 9512, 19020, 28522, 38018, 47508?
56992
What is next in 2334, -1334, -7450, -16014, -27026, -40486, -56394?
-74750
What comes next: 301, 1319, 3007, 5365, 8393, 12091, 16459?
21497
What comes next: 44891431, 89782853, 134674275?
179565697
What comes next: -583, -3444, -6305, -9166, -12027?
-14888
What is next in -7276, -6905, -6536, -6169, -5804, -5441?
-5080
What is next in 2597, 20030, 67377, 159596, 311645, 538482, 855065, 1276352?
1817301
What is the next term in -8204, -28889, -63360, -111617, -173660?
-249489
What comes next: -16971, -16955, -16915, -16851?
-16763
What comes next: 16038, 31301, 46564, 61827?
77090
What is the next term in 2143471, 2143523, 2143575, 2143627, 2143679?
2143731
What comes next: -111363, -222687, -334013, -445341, -556671?
-668003
What comes next: 5163842, 10327852, 15491862, 20655872?
25819882
What comes next: -54341, -54573, -54805?
-55037
What is the next term in -20044, -80500, -181376, -322672?
-504388
What is next in -8163101, -8163102, -8163103, -8163104, -8163105?
-8163106
What is the next term in 4265, 4192, 4017, 3698, 3193, 2460?
1457
What comes next: 52758, 51439, 50132, 48843, 47578, 46343, 45144, 43987?
42878
What comes next: 1527308, 1527304, 1527300, 1527296?
1527292
What is next in 214671, 214658, 214647, 214638, 214631, 214626?
214623
What is the next term in -137275, -549524, -1236739, -2198908, -3436019?
-4948060
What is next in 47065967, 47065961, 47065955?
47065949
What comes next: 13030, 12988, 12924, 12838?
12730
What is next in 67505103, 67505117, 67505153, 67505223, 67505339, 67505513, 67505757, 67506083?
67506503
What is next in -1023, -597, 111, 1101, 2373, 3927?
5763
What comes next: -5361, -18343, -38965, -67245, -103201, -146851, -198213?
-257305
What is next in 3354875, 3354874, 3354871, 3354866, 3354859, 3354850, 3354839?
3354826
What is the next term in 39136494, 39136516, 39136550, 39136602, 39136678, 39136784, 39136926, 39137110?
39137342
What comes next: 10129, 7761, 5395, 3031, 669?
-1691
What is next in 6994, 5382, 3770, 2158?
546
What is next in -1108957, -4434127, -9976077, -17734807, -27710317?
-39902607
What is next in 100312406, 200624812, 300937218, 401249624, 501562030, 601874436?
702186842
What is next in 511, 2986, 9365, 21592, 41611, 71366, 112801, 167860?
238487
What is the next term in 3844466, 15377857, 34600174, 61511417, 96111586?
138400681
What is next in 368100, 736123, 1104146, 1472169, 1840192, 2208215?
2576238
What is the next term in 6443, 12782, 19035, 25160, 31115?
36858
What is next in 21483, 21417, 21401, 21441, 21543, 21713?
21957
What is the next term in 5114, 10316, 15522, 20732?
25946
What is next in -10555, -21749, -32949, -44155?
-55367
What comes next: -351, -1438, -3285, -5892, -9259?
-13386
What comes next: -18590, -72923, -162998, -288815?
-450374
What is next in 1235, 2552, 4005, 5660, 7583, 9840?
12497
What comes next: 151016, 150887, 150752, 150611, 150464, 150311, 150152?
149987
What is next in -800908, -3203269, -7207202, -12812707, -20019784?
-28828433
What is next in 18223019, 36446039, 54669059?
72892079
What comes next: -229802, -229765, -229728, -229691?
-229654
What is the next term in -71608, -286444, -644498, -1145770?
-1790260
What comes next: -261, 108, 461, 798, 1119, 1424, 1713?
1986
What is the next term in -765, -1007, -1501, -2373, -3749, -5755?
-8517
What comes next: 4926844, 9853649, 14780456, 19707265?
24634076
What is the next term in 162821, 651262, 1465307, 2604938, 4070137?
5860886
What comes next: -1006541, -2012240, -3017939?
-4023638
What is next in -80915782, -161831567, -242747352, -323663137, -404578922, -485494707?
-566410492
What comes next: -38493, -38657, -39081, -39891, -41213, -43173, -45897?
-49511
What comes next: 12769, 25346, 37585, 49318, 60377, 70594, 79801, 87830?
94513
What is the next term in 40804, 45026, 56486, 78802, 115592, 170474, 247066, 348986?
479852
What comes next: -396, -11, 374, 759, 1144?
1529
What is next in 212741, 424414, 636087, 847760, 1059433, 1271106?
1482779
What is the next term in 3137989, 3137992, 3137995, 3137998?
3138001
What comes next: 375643, 375497, 375351, 375205?
375059
What comes next: -175871, -349625, -523379?
-697133
What comes next: -115793977, -231587950, -347381923, -463175896, -578969869, -694763842?
-810557815
What is next in -10886, -18422, -25956, -33488, -41018, -48546, -56072?
-63596
What comes next: 160721, 160710, 160689, 160658, 160617, 160566?
160505
What is the next term in 78403, 75758, 73113, 70468?
67823
What comes next: 923, 1595, 2317, 3113, 4007, 5023?
6185
What comes next: 18461, 147819, 498935, 1182683, 2309937, 3991571?
6338459
What is the next term in 487, 457, 489, 613, 859, 1257, 1837?
2629
What comes next: 684926, 1369816, 2054706?
2739596
What is the next term in -10104, -40651, -91524, -162723, -254248?
-366099
What comes next: -801993, -802011, -802029, -802047, -802065, -802083?
-802101
What is next in -30175, -58216, -86247, -114262, -142255, -170220, -198151, -226042?
-253887
What is next in -2918823, -2918821, -2918825, -2918841, -2918875, -2918933?
-2919021
What is the next term in -151378, -150915, -150452, -149989, -149526?
-149063
What is the next term in 314, 626, 1038, 1550, 2162?
2874
What is next in 26825, 28346, 29867?
31388
What is next in 10750409, 10750464, 10750531, 10750616, 10750725?
10750864
What is next in -232687, -464686, -69
|
{
"pile_set_name": "DM Mathematics"
}
|
= 184/855 - l. Suppose 0 = -2*p + 2*i - 10, 5 + 13 = -2*p + 4*i. Is g at most p?
False
Let j(u) = -u + 3. Suppose -3*i + 14 = 5*f, 6*f - 4 = 2*f. Let n be j(i). Is n equal to -1?
False
Suppose 0 = -2*p + 5*p - 33. Let c = p + 4. Let h be 3 + (-5)/(c/4). Which is smaller: 1 or h?
1
Let d = -1.3 - -0.6. Let m = 1 + d. Let h = 0.2 - m. Is h bigger than 1?
False
Let d(w) be the second derivative of w**4/12 - w**3 - 3*w. Let z be d(6). Is z bigger than -2/7?
True
Let b be -1 + 1 - (-10 - 6). Is 0 > b?
False
Let z = 0.2 + -0.1. Let s = 20.044 + -0.044. Let p = s + -19.8. Which is smaller: z or p?
z
Suppose 16 = 6*g - 2*g. Let s be (-1)/g + (-2)/(-4). Let n(j) = j**3 - j**2 + 1. Let o be n(-1). Which is smaller: o or s?
o
Let u = 3443/13 + -265. Which is smaller: u or -2?
-2
Let n = 12/59 - 10538/177. Let v = 296/5 + n. Which is smaller: v or -1?
-1
Let p = 0.915 + 0.085. Is p != 27?
True
Suppose 0 = -2*g - 4 - 6. Suppose 2*f = -2*f + 4. Let u be (-2)/g*(-6 + f). Is u >= -3?
True
Suppose 0 = 2*a - 12 - 2. Suppose -3 = g + 3. Let r be 2*(a/g)/(-7). Which is smaller: r or -1?
-1
Suppose -2*r + 3*s - 9 = r, 5*s - 25 = 0. Suppose -z - 10 = -r*k + 6*k, 3*z - 21 = 5*k. Which is bigger: -4 or k?
k
Let d = 31 - 44. Let k = d + 12. Let h be (((-6)/(-4))/1)/3. Which is smaller: k or h?
k
Let i = 38 - -15. Is i bigger than 53?
False
Let l be ((-22)/4)/((-15)/(-2)). Let g = 106/165 + l. Which is bigger: g or 1?
1
Let i = 8 - 6. Suppose 2*d = -i*s - 2, 2*s = d - 2*d + 1. Let b be -1*(s - 9/6). Does b = 0?
False
Let s = 1.86 - -0.14. Which is bigger: s or 12?
12
Let k = -0.06 + -0.34. Let s = k + 0.46. Let f = 0.04 + s. Is f >= 2?
False
Suppose 2*d = -3 - 1. Let z be (-1)/(d/4*-2). Is z less than -4/3?
False
Suppose -3*d = 2*g - 0*d - 3, 0 = -2*d - 6. Let o = g + -4. Let m be 4/o + (-80)/45. Which is greater: m or 0.2?
m
Let n(o) = -o**3 - 2*o**2 - 4. Let u be n(-3). Suppose 2*i = 5*m + 28, -i + 4 = -5*i - u*m. Let s = -4 + i. Which is smaller: s or -2/9?
-2/9
Let l = -1.97 - -2. Let k = -0.27 - l. Let n = -0.7 + k. Do n and 1/7 have different values?
True
Let z be ((-42)/35)/(2/(-5)). Which is smaller: z or 5?
z
Let k(d) = -15*d**2 + d + 3. Let j be k(-1). Is -12 at most j?
False
Let b be (-3)/5 + (-2)/5. Which is bigger: 2/35 or b?
2/35
Suppose 5*h = -5*p + 345, 3*p = p + 5*h + 138. Let k = -343/5 + p. Is k greater than -2?
True
Let y = -16 - -16.4. Let v = -0.4 + y. Let d = 195 + -1367/7. Which is bigger: d or v?
v
Let s(v) = -12*v + 29. Let m(h) = -2*h + 5. Let p(y) = -34*m(y) + 6*s(y). Let z be p(-3). Is z bigger than 17?
False
Let a(r) be the third derivative of r**4/8 + r**3/6 - 2*r**2. Let y be a(-1). Let p = 1 + y. Do -1/7 and p have the same value?
False
Let g be 6*1/(-4)*10/45. Is g at most as big as 57?
True
Let x be (-2)/(130/(-15) + 0). Is x at least as big as -1?
True
Suppose 0 = 2*w + 7 + 11. Let l(a) = a**3 + 10*a**2 + 10*a + 8. Let d be l(w). Suppose 0*x + 27 = -n - 5*x, 3*n + 4*x + 26 = 0. Which is smaller: n or d?
n
Let n = 1.6 - 1.7. Are n and -1/13 nonequal?
True
Let g(l) = 2*l + 27. Let k be g(-8). Which is greater: 9 or k?
k
Suppose 4*s - 14 - 10 = 0. Let u(h) = h - 7. Let l be u(s). Which is bigger: l or 4?
4
Let f be 84/9*(-9)/(-2). Let g be 2 - (-2)/(-39)*f. Let v = 2 + 0. Which is smaller: g or v?
g
Suppose 3*h = -3*v, 2*h + 9 = 4*h - v. Suppose h*u + 1 + 20 = 0. Suppose -4*x + 4*g - 2 = 6, -x - 3*g - 22 = 0. Is x less than u?
False
Let x = 8.54 + -0.54. Is x at least as big as 0.3?
True
Let p = 4993/5 - 995. Let g = 3638 - 109253/30. Let o = p + g. Is -1 smaller than o?
True
Let c = 0.17 + 0.03. Let t(i) = i + 12. Let j be t(-8). Suppose 0 = 3*m + 12, 0*a - 5*a + j*m + 21 = 0. Are c and a unequal?
True
Let r be 0/(-2) - -8 - 1. Let y(h) = -h - 11 + 11 + 9. Let g be y(r). Is 0 >= g?
False
Let c = -8/7 - -9/14. Let y be 2/(-6)*(32 + -35)*1. Do y and c have different values?
True
Let q(m) = -m**3 + 3*m**2 - 2*m + 1. Let r be q(2). Let p(s) = 0*s**2 - 3*s - s - s**2 - 1. Let c be p(-3). Is c less than r?
False
Let s be 32/(-14) - 2/(-7). Let v = -3 - -6. Suppose 3*h = -0 - v. Is h less than or equal to s?
False
Let y(v) = v**2 - 5*v - 4. Let r be (-2)/(-7) - 40/(-7). Let s be y(r). Let c = 1 - s. Is c at least as big as -2/5?
False
Let q = 6/29 - 8/319. Suppose 0 = -0*t - 4*t + 4. Do q and t have the same value?
False
Let l = -0.16 - -0.26. Is l <= -9?
False
Let h = 0.1 - 0.1. Let p = 0.003 - 2.303. Let f = -1.3 - p. Is h <= f?
True
Let u be (-4)/(-18) + (-185)/630 + 0. Is -1 at least u?
False
Let t = 17 + -10. Let b = 12 - 5. Is b smaller than t?
False
Suppose -10*p = 19 + 1. Suppose 0 = -4*c - 11 - 1, -v = -3*c - 6. Is v less than p?
True
Let x be 1 - (0 - (1 + 2)). Let d = -1 - -6. Let u be 27/d + (-6)/15. Which is smaller: u or x?
x
Suppose -5*f - 13 = -4*z + 13, 3*z = 12. Suppose -s = s + 4. Let l be f - (s/(-2) - 6). Is l equal to 3?
True
Suppose 3*s - 6 = 3*w, 0*w = 4*w. Let o be ((-134)/(-30))/(s/(-6)). Let n = -14 - o. Do 0 and n have different values?
True
Let x = -21 - -22. Is x <= -2/5?
False
Let f = -1 + 9/8. Let n(k) = k**2 - 5*k. Let i be n(5). Which is greater: i or f?
f
Let q = -0.41 + 0.31. Which is smaller: q or 0?
q
Let x = 0.46 + -0.06. Let d = -0.3 + x. Let t = -233 - -235. Is d smaller than t?
True
Let i = 4 + 0. Suppose i = -w + 2. Let c = w - -1. Which is smaller: c or 1?
c
Let s(c) = 9*c - 63. Let i be s(7). Which is bigger: 2/331 or i?
2/331
Suppose -4*m + 5 + 7 = -4*p, 5*m = 4*p + 16. Let w(t) = t - 4. Let b be w(7). Is b at least p?
True
Suppose -5*g - d + 28 = 0, -3*d = 2*d - 15. Let o = -1256/15 + 442/5. Is o bigger than g?
False
Let h = -7.98 - 0.02. Let m = h - -6. Which is greater: m or 1/2?
1/2
Let q = 425 - 2984/7. Let n be (-6)/39 - 1361/(-819). Let y = q + n. Does y = 0?
False
Suppose 4*l - 2*l = 2. Suppose -9 = 2*s + s. Let r be 2*((-66)/(-21) + s). Which is bigger: r or l?
l
Suppose 16 = 2*s - 4*v, 2*s - 8 = 3*v - v. Is s at least as big as -12/19?
True
Let r be (-60)/(-27) - (-8)/(-36). Suppose -r*i - 45 - 25 = 0. Let w be (-4)/(-10) - (-24)/i. Which is greater: 4 or w?
4
Let s(d) be the second derivative of -d**4/12 + 2*d**3/3 - 3*d**2/2 - d. Let r be 13/5 - (-12)/(-20). Let i be s(r). Which is smaller: i or 0?
0
Suppose 2*z + 37 = 5. Are z and -16 unequal?
False
Let h be (-9)/18*(-1 + 1). Suppose -2*j + 0*j + 22 = h. Let d = 6 - j. Are -5 and d unequal?
False
Let k = 169/931 + -108016/220647. Let u = k + -2/79. Is -0.1 <= u?
False
Let s = 0.25 - 4.55. Let x = -0.7 + s. Let w = x + 4. Is 2 != w?
True
Let g = -0.2 + -0.9. Do -1 and g have different values?
True
Let v be (18/(-40))/(6/16). Let g be (-6 + 5)*(3 + -2). Is v <= g?
True
Suppose 0 = -2*i, 5*x + 120 = 3*i - 4*i. Is x not equal to -25?
True
Let n = 23.9 + -24. Is -21 smaller than n?
True
Let k = -114093/44915 - -6/3455. Let m = -47769/16744 - -111/161. Let j = k - m. Are 1 and j unequal?
True
Let x be 19/(-2) + (-2)/4. Let f be (-2)/(-10) + 12/x. Let t be 14/(-9) - (-5 + 3). Which is greater: f or t?
t
Suppose -4*q - 33 = 3*r, 5*r = 5*q - 125 + 35. Let s = 33 - r. Let z be (2/s)/(2/(-4)). Is z < 1?
True
Let v be 2 + (2 - (-17)/(-4)). Let d = 35 - 34.98. Which is smaller: d or v?
v
Let j(l) = l + 1. Let k be j(-6). Is -2 <= k?
False
Let w = 1 - -1. Let z be (1/(-12))/(w/(-4)). Is 1 at least as big as z?
True
Let t = -22 + 20.3. Let l = t + 0.7. Which is greater: 1/7 or l?
1/7
Let b = 0.07 + 3.93. Let k = -6 + b. Let n = -3 - -17/6. Do n and k have different values?
True
Let d = -0.027 + -0.973. Is -0.26 greater than d?
True
Let c = 17 + -13. Let z = -4 + c. Which is smaller: z or 9?
z
Let m = 18 + -15. Let n = 2.7 - m. Does -0.1 = n?
False
Let r = 0 - 6. Let d be 2/r*18/15. Let i(a) = -a + 3. Let j be i(4). Is d greater than j?
True
Let c(i) = i**2 + i + 2. Let y be c(-2). Let m be (-11)/14 + y/14. Do m and 2 have different values?
True
Suppose 4*x + 1 = 5. Let f be 2/x + 0/(-5). Suppose 0 = -o + 6*o - 5. Is f smaller than o?
False
Let n be 116/(-30) + (-2)/15. Let d(h) = h**3 + 5*h**2 + 5*h + 3. Let g be d(n). Is 1/6 >= g?
True
Let y be -2 - (-2 + -1) - -12. Let q = 53/4 - y. Is q less than or equal to -7?
False
Let s be (-2*1)/(-2 - -1). Suppose 3*y - 3*o - 12 = 0, 3*y - 7*o - 14 = -2*o. Is y at least as big as s?
True
Let a = 27 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
8202 and 14?
407414
Calculate the common denominator of -44/81 and 113/108.
324
What is the lowest common multiple of 48 and 32?
96
Calculate the least common multiple of 10 and 150.
150
What is the least common multiple of 406 and 28?
812
Find the common denominator of -115/6 and 5/21.
42
Calculate the common denominator of -51/104 and 115/884.
1768
What is the lowest common multiple of 111 and 3?
111
Find the common denominator of 63/6424 and 33/80.
64240
Calculate the least common multiple of 336 and 288.
2016
Calculate the least common multiple of 56 and 4837.
38696
Find the common denominator of -67/390 and 62/1755.
3510
What is the lowest common multiple of 20 and 20?
20
Calculate the lowest common multiple of 840 and 980.
5880
Calculate the common denominator of 101/26 and -19/18.
234
Find the common denominator of 5/272 and -29/496.
8432
Calculate the smallest common multiple of 50 and 1700.
1700
Calculate the least common multiple of 43 and 27.
1161
Calculate the common denominator of -55/4 and 85/14.
28
Calculate the least common multiple of 15 and 30.
30
What is the common denominator of 103/2106 and 10/3?
2106
Calculate the common denominator of -1/5721 and -31/24.
45768
What is the common denominator of -83/33 and -149/114?
1254
Find the common denominator of 55/2526 and 25/1684.
5052
Calculate the common denominator of 5/12 and 139/906.
1812
Find the common denominator of -46/63 and -97/54.
378
What is the smallest common multiple of 50 and 10?
50
Find the common denominator of -53/42 and 43/364.
1092
Find the common denominator of 21/310 and -17/5.
310
Find the common denominator of -23/2821 and -17/637.
19747
What is the lowest common multiple of 1155 and 210?
2310
Find the common denominator of -16/9 and 46/43.
387
Find the common denominator of -101/1878 and 101/2.
1878
Find the common denominator of 119/30 and 85/42.
210
What is the lowest common multiple of 15 and 60?
60
Calculate the least common multiple of 4 and 6038.
12076
What is the least common multiple of 145 and 174?
870
Calculate the common denominator of 71/1520 and -67/80.
1520
Find the common denominator of -42/803 and -17/657.
7227
Calculate the common denominator of -151/48 and 29/3008.
9024
Calculate the lowest common multiple of 90 and 250.
2250
Calculate the common denominator of -49/42802 and 49/10.
214010
What is the common denominator of -75/16 and 17/4464?
4464
What is the common denominator of 27/95 and -19/25?
475
Calculate the lowest common multiple of 1740 and 110.
19140
What is the lowest common multiple of 2052 and 270?
10260
Find the common denominator of -59/3 and -46/81.
81
Calculate the least common multiple of 3010 and 4816.
24080
Calculate the common denominator of -1/1281 and 63/4.
5124
What is the least common multiple of 1152 and 8?
1152
Calculate the common denominator of -62/1305 and 64/783.
3915
Find the common denominator of 19/1206 and -74/63.
8442
Calculate the common denominator of 41/66 and -155/132.
132
Calculate the common denominator of 13/15 and 7/66.
330
What is the common denominator of 59/1134 and 82/45?
5670
Calculate the lowest common multiple of 191 and 2.
382
Calculate the lowest common multiple of 1290 and 360.
15480
Calculate the least common multiple of 390 and 106.
20670
What is the least common multiple of 328 and 820?
1640
What is the common denominator of 26/153 and -31/51?
153
What is the common denominator of 20/2907 and 27/418?
63954
Calculate the least common multiple of 7605 and 5.
7605
What is the lowest common multiple of 4196 and 84?
88116
What is the least common multiple of 36 and 100?
900
What is the lowest common multiple of 4 and 38?
76
Find the common denominator of 133/306 and -27.
306
Find the common denominator of -22/225 and 41/250.
2250
Calculate the common denominator of 111/22 and -83/56.
616
What is the least common multiple of 1328 and 44?
14608
Find the common denominator of -19/80 and 17/352.
1760
Calculate the lowest common multiple of 4902 and 172.
9804
Find the common denominator of -35/6 and -4/15.
30
Calculate the least common multiple of 27 and 54.
54
What is the common denominator of -33/52 and -59/260?
260
What is the smallest common multiple of 294 and 336?
2352
Calculate the common denominator of -38/123 and 76/33.
1353
What is the common denominator of -1/480 and 13/12?
480
Find the common denominator of 13/126 and 89/36.
252
Calculate the lowest common multiple of 20 and 210.
420
Calculate the smallest common multiple of 132 and 8.
264
What is the lowest common multiple of 972 and 558?
30132
Calculate the least common multiple of 165 and 2865.
31515
Calculate the common denominator of -61/4 and -193/5640.
5640
What is the common denominator of 83/100 and -139/72?
1800
Calculate the least common multiple of 294 and 196.
588
What is the lowest common multiple of 120 and 144?
720
What is the least common multiple of 136 and 48?
816
Find the common denominator of -41/44 and -9/20.
220
Calculate the lowest common multiple of 1108 and 11080.
11080
What is the smallest common multiple of 10 and 70?
70
What is the smallest common multiple of 2319 and 132?
102036
Find the common denominator of 47/474 and 95/2.
474
What is the least common multiple of 106 and 10?
530
What is the lowest common multiple of 27 and 60?
540
Calculate the common denominator of 80/693 and -29/18.
1386
Find the common denominator of -73/10 and -83/400.
400
Calculate the common denominator of 24/545 and 79/45.
4905
What is the smallest common multiple of 2 and 211?
422
What is the lowest common multiple of 9 and 4016?
36144
Calculate the least common multiple of 63 and 2268.
2268
Find the common denominator of -63/992 and 151/24.
2976
Calculate the common denominator of 9/2 and -19/3908.
3908
What is the common denominator of 40/301 and 95/2408?
2408
Calculate the least common multiple of 64 and 16.
64
Calculate the lowest common multiple of 6 and 108.
108
What is the common denominator of 119/80 and 13/236?
4720
What is the common denominator of -34/27 and -43/1248?
11232
Calculate the smallest common multiple of 810 and 1377.
13770
Calculate the least common multiple of 32 and 8.
32
What is the least common multiple of 6 and 322?
966
What is the lowest common multiple of 201 and 12?
804
Find the common denominator of -133/480 and 23/52.
6240
What is the common denominator of 85/22 and 11/174?
1914
What is the common denominator of -59/3 and 65/18?
18
What is the lowest common multiple of 75 and 105?
525
Calculate the common denominator of -21/2666 and 63/248.
10664
What is the least common multiple of 55 and 25?
275
What is the common denominator of 41/108 and -25/1944?
1944
Find the common denominator of -43/1461 and -125/6.
2922
Find the common denominator of -17/12 and 73/297.
1188
What is the least common multiple of 9 and 3?
9
What is the lowest common multiple of 3614 and 834?
10842
What is the common denominator of 34/21 and -11/49?
147
What is the common denominator of -89/144 and 155/396?
1584
Calculate the smallest common multiple of 348 and 9.
1044
Calculate the least common multiple of 40 and 360.
360
Find the common denominator of 26/95 and 76/9.
855
What is the smallest common multiple of 1146 and 4?
2292
What is the common denominator of 59/96 and -9/4?
96
What is the common denominator of -16/3195 and 109/105?
22365
What is the common denominator of 69/124 and 39/10?
620
Calculate the common denominator of -9/340 and -41/425.
1700
Calculate the lowest common multiple of 1254 and 418.
1254
What is the smallest common multiple of 1683 and 918?
10098
What is the common denominator of -121/636 and 73/6?
636
Calculate the lowest common multiple of 343 and 3283.
22981
What is the smallest common multiple of 408 and 84?
2856
Find the common denominator of 15/187 and 31/374.
374
What is the common denominator of -56/477 and -13/3?
477
Calculate the common denominator of -105/44 and 149/264.
264
Calculate the smallest common multiple of 40 and 3052.
30520
Calculate the least common multiple of 26 and 78.
78
Find the common denominator of -29/2859 and -1/11.
31449
Find the common denominator of -26 and 17/1323.
1323
Calculate the least common multiple of 8 and 472.
472
Calculate the lowest common m
|
{
"pile_set_name": "DM Mathematics"
}
|
3))?
-6
What is the value of (-21 - (-39 - -43)) + 5?
-20
What is (9 - (-18 + 15)) + -8?
4
Evaluate 26 + 10 + -5 - 15.
16
Calculate -64 + 14 - -48 - (1 - -12).
-15
Evaluate (1 - -5) + (10 + 1 - 20 - -14).
11
What is (-20 - (7 + 1 + -6 + -6)) + 5?
-11
Calculate -4 + -3 - (-2 + (3 - -7)).
-15
Calculate (25 - 12) + 30 - 8.
35
-46 - 9 - -37 - -19
1
(-6 - -29) + (397 - 387)
33
What is the value of (-16 + 43 - 6 - 18) + (-3 - 1)?
-1
-17 + -62 + 31 + 45 + (1 - 5)
-7
Evaluate 16 + 32 + -19 - 23.
6
What is (-18 - -11 - -21) + (-4 - -6)?
16
-13 + (8 - 1) - (17 - 3)
-20
Evaluate (-1 - 0) + 2 - (5 - (-7 + 12)).
1
(-9 - (-2 + 0 - 0 - 5)) + -27
-29
Calculate -13 + 18 + -5 + -10.
-10
Evaluate -687 - -672 - (-21 + -3 + 6).
3
Evaluate -27 - (-9 - (-3 + -11) - 5).
-27
Calculate -1 - -17 - (-75 + 95 + -36).
32
What is the value of 14 - 20 - (-2 + 2) - (-5 + -29)?
28
1 + (-7 + -12 - -9 - -8)
-1
What is (9 + 7 - 8) + -9?
-1
Calculate 6 + -17 + (26 - 32).
-17
Evaluate 17 - (-17 + 12 - -5).
17
Evaluate (6 - -1) + 10 + -4 + -9 + 7.
11
Calculate -31 + (26 - -2 - -20).
17
-4 - 2 - (3 + 10 - 7)
-12
Calculate 18 + -38 + 12 + 12.
4
Calculate -3 + (-12 + 17 - 11).
-9
Calculate 3 - ((1 - -1) + -11 + (-8 - -6)).
14
Calculate 46 + ((-5 - -10) + -9 - 14).
28
(-122 - -110 - (-12 + (-2 - -1))) + -18
-17
Evaluate 11 - ((-14 - 20) + 3 - -19).
23
Calculate 10 - (324 - 321 - (-2 + -1 - -1)).
5
What is the value of (100 - 34 - 20) + (-4 - 14)?
28
15 - (-16 + 32 + 18)
-19
What is -28 + 17 + 39 + -45?
-17
Calculate -1 + -5 - (25 - 20).
-11
Calculate -26 - -25 - (-11 + 15).
-5
What is the value of 30 + (-31 + 37 - 13)?
23
Calculate (-621 - -643) + -2 + 1 + -8.
13
Calculate (-4 - (-18 - -23)) + 2.
-7
12 + -2 + -9 + 36 + -37
0
Evaluate 3334 - 3338 - ((33 - 1) + 2).
-38
(-8 - (-2 - -2) - 0) + -313 + 285
-36
Evaluate 5 + -1 - (-172 + 181) - 8.
-13
What is 8 + -66 + 18 - -15?
-25
Evaluate -3 + -6 + (15 - 10) - (-14 + -1).
11
What is the value of 15 + 11 + -33 + -17?
-24
Calculate 6 + -6 + -14 + (15 - -14).
15
39 - (53 + -12 + -27)
25
Evaluate -5 + (-3 - -6) - (54 + -43).
-13
What is 36 - (13 + 25 + -20)?
18
Calculate (1 + 0 - ((30 - 31) + 5)) + 25.
22
Evaluate -12 + (-9 - (-2 + -4)) + (6 - 1).
-10
Calculate -15 - (3 - (35 - 8)).
9
Evaluate -10 + (0 + -8 - (-15 - (-53 - -32))).
-24
What is the value of 17 + (11 - 30) + 2?
0
9 - ((8 - 1) + -88 + 82)
8
Calculate -1 + -22 + 5 + 32.
14
Evaluate -286 + 268 - (-2 + -15).
-1
Calculate -18 + (-6 - (-7 - (10 - 6))).
-13
What is the value of (1 - -10 - 19) + -25 - (-2 - 8)?
-23
What is -37 + 47 + (15 - 53)?
-28
What is the value of 4 - (1 - (2 + -4 + -3))?
-2
Calculate 20 + (-25 - 12) + 15.
-2
What is -13 + 3 + -9 + (55 - 46)?
-10
(-1 - 2) + 2 + 20 + -10
9
What is the value of (-5 - -7) + -11 + 12?
3
What is -7 + 2 + (24 + -14 - -19) - 6?
18
-17 + (2 - 3) + (-2 + -5 - -16)
-9
-8 - (-17 - -24 - 29)
14
What is the value of -9 + 6 + -2 + 11 + -3?
3
Evaluate (-28 - -27 - -17) + -19.
-3
-3 - (18 + 11 + 11 + -21)
-22
Evaluate -9 + -39 + 15 - (-6 + (0 - 0)).
-27
Evaluate 1 + -9 - (0 + 2 + -9 + 4).
-5
What is the value of 9 + (-25 - -11) - (-12 - (1 + -6))?
2
-30 - (-23 + -3) - 0
-4
What is (26 + -19 - 44) + 11 + -9?
-35
Calculate 8 + -10 + 13 + (-3 - 4) + 3.
7
Calculate 1 - 10 - (-13 + (4 - 1)).
1
13 + -17 + (25 - 30)
-9
What is -2 - -2 - (9 + -13 - -9)?
-5
Evaluate 7 + -3 + -3 + 8 + 0 + -7.
2
What is the value of (4 - (-6 + 9)) + 4 + (14 - 26)?
-7
6 - (11 - -1 - (5 - (-3 - 12)))
14
What is the value of -15 - ((-11 - -3) + 5 + 6 + 0)?
-18
Calculate (83 + -43 - 41) + (-1 - 0) + 16.
14
Evaluate 15 - (-6 + 3 - (-21 - -8)).
5
What is the value of -10 + (12 - (8 - 3)) + -14?
-17
What is 10 + -8 + -1 + 3 + (-3 - 15)?
-14
9 - (11 + 8) - -9
-1
What is 5 - (3 - (-13 - (-1 - 0)))?
-10
Calculate 7 + -12 + 6 - ((-10 - -6) + -4).
9
What is the value of -22 + (15 - (28 + -17)) - 15?
-33
What is the value of (-37 - -84) + -39 + -30?
-22
What is the value of (-112 - -106) + (34 - 8)?
20
What is the value of -2 + 34 + -314 + 288?
6
What is -2 + (-8 - -24) + 4?
18
What is the value of (-37 - 4) + -4 + (-4 - (-2 - 8))?
-39
Calculate (-5 - (0 + 4)) + -2 + -6 + 6.
-11
What is the value of 7 + (10 - 7 - 1 - (-2 + 8))?
3
What is the value of -19 + (28 - (48 - 23))?
-16
Calculate 16 + (-9 - ((6 - 7) + -6)).
14
What is the value of 21 - (-1 - (-1 + (-11 - -8)))?
18
What is the value of (-30 + 2 - 3) + 15 + -2?
-18
Calculate (12 + -9 - -6) + -16.
-7
Calculate 9 + 1 - (11 - (8 + -12)).
-5
Evaluate (2 - -24) + -90 + 42.
-22
What is the value of -4 - -4 - (19 + (-15 - -3))?
-7
6 + -10 + (-4 + 4 - -11)
7
What is the value of 8 + (1 - -16 - 15)?
10
What is -8 + 13 - (3 - -12 - 10)?
0
(-31 - -24) + (4 - 5) + 11
3
What is the value of 2 + (6 + -6 + 1 - (0 + -6))?
9
What is the value of 0 + -5 + (59 - 6 - 40)?
8
(-2 + 3 - 5) + -88 + 91
-1
-16 + (0 - -9) + -51 + 62
4
1 + -20 + 14 - -15 - 30
-20
-2 + 5 + -16 - (-46 - -62)
-29
What is the value of -2 + 4 - (32 - 38)?
8
What is the value of -32 + 31 - 9 - (-1 + 1)?
-10
Calculate -54 - -17 - ((2 - 0) + -21 + 12).
-30
Calculate -42 + 7 - (6 - 9 - (4 + -1)).
-29
Evaluate (11 + 2 - 42) + 16.
-13
What is the value of -48 - (-34 - (-52 + 36))?
-30
Evaluate (-3 - 8) + 10 - (-1 - 17).
17
Calculate 6 - (-12 - (-14 + 2 - -7)).
13
Calculate 36 - (40 + -11) - ((2 - 2) + -10).
17
Calculate 9 - (-3 + (0 - (3 + -3)) + 4).
8
What is the value of (73 - 58) + -4 - (2 - -3)?
6
What is 24 + 3 + (-27 - -15)?
15
55 + (-27 - 22) + 7 + -1 + 0
12
What is the value of 3 + 12 - ((37 - 12) + -24)?
14
What is (-14 - (-1 - 5)) + (-24 - -15)?
-17
What is the value of 3 - (-12 - (-3 + 7 + 0))?
19
What is -8 + -2 + (-33 - -18 - -33) + -16?
-8
-10 - (-7 + 13 - -12 - 13)
-15
Evaluate (-3 - -25) + -36 - -14.
0
Evaluate 10 + -19 - (-1 - -1) - (-1 - 2).
-6
Evaluate -1 + (9 - 6) + (-68 - -76).
10
What is 1 + (-2 - (7 + -5)) - (6 + -14)?
5
-5 + (-5 - 11) + 14
-7
What is the value of 79 + -68 - (-8 - (-1 + 4))?
22
What is -1 - -2 - 2 - (-11 + 6)?
4
0 + (1 - -1) + (-278 - -261)
-15
Calculate -21 - (-35 + (7 - -12)).
-5
What is -22 + 14 + -7 - -9?
-6
What is the value of 2 + (-21 - -32) + -18?
-5
Evaluate 156 - 156 - (13 + 0 + -2).
-11
Calculate -3 - (-14 + -14 + (5 - -4) - 6).
22
0 + -9 + -1 - (20 + (-3 - 11))
-16
Calculate 4 - (0 + (-9 - -1) + 9).
3
What is 4 - (-1 + 1) - ((-2 - -19) + -23)?
10
What is -17 + 15 + 5 + -16?
-13
Calculate 36 + -4 + 9 - (22 + -6 - 4).
29
What is 10 + -1 + -36 + -1 + 14 + -8?
-22
Calculate -2 + -10 - -2 - (-433 + 426).
-3
Calculate (1 - 2) + (86 - 22 - 98).
-35
-14 + 2 - (14 + 0 + -21)
-5
Evaluate 10 - -1 - (-21 - (5 - 74)).
-37
Calculate -5 - (1 + 28 + -61).
27
What is the value of 1 + (-1 - (5 - 12 - 1)) + -3?
5
What is -9297 + 9299 + (-1 + -11 - -1)?
-9
What is 653 - 662 - (-6 + 0)?
-3
Calculate (-2 - (-6 - -6)) + (-29 - -27).
-4
What is the value of 11 - ((-30 - -11) + 2 - -8)?
20
What is the value of -18 - (4 + -1 - (8 - (30 + -32)))?
-11
Calculate -11 + -2 + 0 - (-168 + 169).
-14
Calculate (7 + -6 - -5) + -11 + (-5 - -1).
-9
Calculate -16 + 3 + (9 - (7 + -3)) + 1.
-7
Evaluate (0 - (-6 + -1)) + -4 + 5.
8
(88 - 73) + 2 + -8
9
What is the value of -30 - -37 - (13 + -6 + 3)?
-3
Evaluate (-3 - -9) + 3 + -7 - 15.
-13
Evaluate -4 - (-2 - -1 - ((7 - 14) + 12)).
2
What is the value of -3 - (-10 + (-4 - -20 - 2))?
-7
Evaluate (-2 + 9 - (28 + 0)) + (1 - -4).
-16
Evaluate -2 - (8 - (3 + 6)) - 8.
-9
Calculate 171 - 183 - (-11 - (-3 + 5)).
1
Evaluate 11 - (17 - (3 + 24 - 19)).
2
What is 0 + 2 - (252 - 232)?
-18
What is (-30 - -38) + (-10 - (-5 - -6))?
-3
Calculate (232 - 229) + 17 + -1.
19
Evaluate -18 + 4 + 5 + 18.
9
What is the value of 17 + 1 + 25 + -31?
12
What is -69 - -76 - (3 - -18)?
-14
(3 - 21) + 14 + 4
0
What is the value of -49 + 41 + (-5 - 0)?
-13
Evaluate -2 - (-6 + (2 - -11) + -2).
-7
Calculate -1 + -17 + 8 - -7 - 2.
-5
What is -11 - -4 - -8 - -3 - 4?
0
9 + -24 - -6 - (13 + -1)
-21
What is (12 - (21 + 1)) + (0 - -6) - -12?
8
Evaluate -12 + (55 - 33) + (-36 - 0).
-26
What is the value of -5 + (-7 - -28 - 3)?
13
What is the value of -1 + (-9 - -15) + -19 + -6?
-20
What is (0 - 1) + -3 + -7 + -11 + 17?
-5
Evaluate -6 + 10 + (-43 - -32).
-7
What is the value of 0 + (0 - -8) - (-4 + 4)?
8
What is (47 + -43 - (-2 - -7)) + -7?
-8
Calculate (-3 - (-11 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
t to 3/4? (a) 1 (b) 2/13 (c) -1.148
a
Which is the closest to -3? (a) 8 (b) -5/18 (c) 3
b
Which is the nearest to -2/3? (a) -0.3 (b) 3/7 (c) 5135 (d) -2
a
What is the closest to 0.05 in 3, 0.1678, -0.1?
0.1678
Which is the nearest to 11? (a) -0.063 (b) 8 (c) -4 (d) 0.1
b
Which is the closest to -1/28? (a) -28.8 (b) -2/5 (c) -3 (d) 4 (e) -2/19
e
What is the nearest to -2 in 0.2, -1059, 0.06, 2/9?
0.06
What is the closest to -957 in -22, 2/15, -4/3, -0.3?
-22
Which is the nearest to 108? (a) 3/7 (b) -1/5 (c) -7 (d) 0.3 (e) -1
a
What is the closest to 1 in -2/15, 109/2, 0.02, -17, 1?
1
What is the closest to 1 in 72, -7, -0.2, 4?
-0.2
What is the closest to -1 in -4, 3/4, -32, 50, 0.2?
0.2
Which is the closest to -0.13? (a) 1/5 (b) 19 (c) -2.2 (d) 5
a
What is the nearest to 1/2 in 2/115, -5, 0.07, -2/3, 12?
0.07
Which is the closest to -1.9? (a) -0.4 (b) -283/4 (c) 0.1
a
Which is the nearest to 3? (a) -0.4 (b) -1/2 (c) -2/4909 (d) 1/4 (e) -0.12
d
Which is the closest to 1873/2? (a) 3/4 (b) -3 (c) -8 (d) 5
d
Which is the closest to 0.1? (a) 0.5438 (b) 8 (c) -1/5 (d) 5
c
What is the nearest to 0.1 in -1/18, -4, 1/10, -30.2?
1/10
What is the nearest to -24036 in -2, 4/7, 4?
-2
Which is the nearest to -1? (a) 2/5 (b) 55 (c) 38 (d) 2 (e) 3
a
Which is the nearest to 1? (a) -71 (b) 5/2 (c) -0.4 (d) 3
c
What is the closest to 0 in -101, -3, -0.02, -0.4, 9?
-0.02
What is the nearest to 6/11 in -2/721, -10, -0.1, -1/3?
-2/721
Which is the nearest to 0.3? (a) 21 (b) 2395 (c) -1/3
c
What is the closest to -0.25 in 3, 0.03, -394?
0.03
What is the nearest to -20 in -5, 0.4, 0.9?
-5
Which is the closest to -3? (a) -83 (b) 0.5 (c) 2/99
c
What is the closest to 9/4 in -5, 4, -131?
4
Which is the nearest to -393? (a) 22 (b) -2/7 (c) 3 (d) 0.4
b
Which is the closest to 1? (a) 24 (b) 0.2 (c) -15 (d) -5 (e) 1
e
Which is the closest to -1/2? (a) 539 (b) 0.3 (c) -1/12 (d) 2 (e) -2/17
e
What is the nearest to 13/7 in -1.1, 22, -1, -0.1, -5?
-0.1
What is the closest to 0.3 in 3/2, 0.4, 0, -1?
0.4
What is the closest to 0.2 in 16/9, 0.2, 0.1?
0.2
Which is the nearest to 0? (a) -1/2 (b) -0.04 (c) -0.32 (d) -0.05
b
Which is the closest to -1/2? (a) -275/3 (b) 1/137 (c) -0.1
c
Which is the nearest to -0.1? (a) 1/3 (b) 7 (c) 2 (d) 4 (e) -2007
a
What is the nearest to -2 in 55, -2, -1, -5, 2?
-2
Which is the closest to 1? (a) -3/2 (b) 0.5 (c) -4413/2
b
Which is the closest to 163? (a) -3 (b) 0.3 (c) -225 (d) 2
d
What is the nearest to 14 in 490, 1/4, -1/2?
1/4
Which is the closest to 0? (a) -1/7 (b) -1.9 (c) 126 (d) 2 (e) -5/4
a
What is the nearest to 0 in -10, 126, -14/17?
-14/17
What is the nearest to 0.1 in -10, 10, -12, 1/4, -2/295?
-2/295
What is the nearest to -1/3 in -4/5, -1/8, -5, -2/17, 2/25?
-1/8
Which is the closest to 2? (a) -7 (b) -2/11 (c) 3/142 (d) -2
c
What is the nearest to 3/1966 in 1/8, 3, -1/3, 5?
1/8
What is the nearest to 0.1 in -3.2, 2/14189, -0.4?
2/14189
Which is the closest to 285? (a) 8/5 (b) 2 (c) 1/2
b
Which is the closest to 0.2? (a) 35 (b) 0 (c) -2 (d) 13
b
Which is the closest to 0.3? (a) -4/11 (b) 2/7 (c) -39 (d) -5 (e) 0.5
b
What is the closest to -0.1 in 3/11, 2/11, 53, -1/3, -10?
-1/3
What is the nearest to -0.649 in 6, -3, -5, 3, -4?
-3
What is the nearest to 2 in 0.3, 2/9, -0.4, -0.2?
0.3
What is the nearest to 2/11 in 0.1, -132, 2/3?
0.1
What is the closest to -7/4 in 0.03, 0.4, 5?
0.03
What is the closest to 1/11 in 1/6, -50, -0.5?
1/6
What is the nearest to -13 in -4, -5, 0.4, -0.4, 10/7?
-5
What is the nearest to 3 in 2, 109, 2/5?
2
Which is the nearest to 5/7? (a) -0.2 (b) 0.026 (c) 0.4
c
What is the nearest to -66 in 153, 5, -4, -2/67?
-4
What is the closest to 1 in -2, -0.65, 7/2?
-0.65
Which is the nearest to 221? (a) -0.07 (b) 0.1 (c) 0 (d) 0.05
b
What is the closest to 1 in 0.4, 217, 3/10, -24?
0.4
What is the closest to 1 in 3, 5, -0.05029?
-0.05029
Which is the nearest to 22? (a) -2/3 (b) 0.14 (c) -2/11 (d) 1/3
d
Which is the nearest to 0.0236? (a) 0.5 (b) 48 (c) 1/4 (d) -1
c
What is the nearest to -3.6 in 0, 2/7, -0.11, 1, -5?
-5
What is the closest to -0.1 in 2/5, -7556, -1/9, -4?
-1/9
What is the closest to 4 in 0.001, -2/7, -8, -9, -5?
0.001
What is the closest to 0.01 in -0.1, 1/20, 1/7, -2/15?
1/20
Which is the nearest to -2/3? (a) 0 (b) 0.2 (c) 0.100802
a
Which is the closest to 4/5? (a) 5 (b) 15 (c) -17 (d) 3
d
What is the closest to -2 in 4, 6, -1/18, 1/6?
-1/18
Which is the nearest to -2/3? (a) -6 (b) 0 (c) -549/5
b
What is the nearest to 3 in 8, 2, -0.2, 16, -0.7?
2
Which is the closest to 10? (a) 11 (b) 7 (c) 3 (d) 4
a
What is the closest to 2 in 1, 4/5, -28, -339?
1
What is the closest to 2/401 in -0.4, 0.043, 0.2?
0.043
What is the closest to 1 in 23, -0.08, -0.4?
-0.08
What is the nearest to -0.5 in -0.3, -1/2, 6, -6, 0.09?
-1/2
What is the nearest to -3/2 in -2/3, 5, 16/11?
-2/3
Which is the closest to 2/9? (a) 0.7 (b) 0.28 (c) -0.3
b
What is the nearest to 2/7 in -6, -5, -1/379?
-1/379
What is the closest to 0.2 in 0.194, 0.3, -1, 5?
0.194
Which is the nearest to -2.5? (a) 22 (b) 4 (c) -5 (d) 5/3 (e) 2
c
What is the closest to 0.00498 in 0, -35, 2/7?
0
Which is the closest to 2/9? (a) -1/95 (b) -2 (c) -4 (d) 4/3
a
Which is the nearest to 0? (a) 4 (b) -3/4 (c) 0.16 (d) 20
c
Which is the nearest to 6? (a) -2 (b) 0.2 (c) 53/38
c
Which is the closest to 2/23? (a) 2 (b) 0.2 (c) 1/7 (d) -40/9 (e) -1/4
c
What is the nearest to 100 in 2/5, 4, 0, 0.05?
4
What is the nearest to 31 in -6, -0.1, -4.4?
-0.1
What is the closest to -0.3 in -0.8, 1/3, -317, 0.3?
-0.8
Which is the closest to -0.2? (a) 1 (b) -29 (c) 12 (d) -5
a
Which is the nearest to 2? (a) -0.1 (b) 3 (c) -259 (d) 5 (e) 0
b
Which is the closest to 0? (a) -0.06 (b) -9.09 (c) 0.16 (d) 2 (e) -2/15
a
What is the nearest to -0.179 in 2/11, 2/43, -3?
2/43
Which is the nearest to 1? (a) 62 (b) 3 (c) -1/4 (d) 0.2
d
What is the nearest to -2/7 in -2, -0.1, -4752?
-0.1
What is the closest to -2/5 in -2/43, 2/7, 5, -16.3?
-2/43
What is the nearest to 1/3 in -3/4, -11105, -1, -10?
-3/4
Which is the closest to -0.06? (a) -3 (b) -0.07 (c) -15/2 (d) 0.1
b
Which is the closest to 1? (a) 0.4 (b) -0.12 (c) -1/3598
a
Which is the closest to 3? (a) -4/3 (b) -1703 (c) 5
c
Which is the closest to 0.1? (a) -0.5 (b) 3 (c) 2/7 (d) -12.41 (e) -1
c
Which is the closest to -3256? (a) -2 (b) -0.1 (c) -0.368
a
What is the nearest to 0.1 in -0.9, -0.03, -319?
-0.03
What is the closest to 9 in -2, -3, 0.5, 2/29, 0.2?
0.5
Which is the nearest to 1? (a) -0.7828 (b) 2/9 (c) 5 (d) -0.4
b
Which is the closest to -0.1? (a) -0.5 (b) 0.2 (c) -5/4 (d) 1/31 (e) 19/3
d
Which is the nearest to -2? (a) -5 (b) 2 (c) 2642 (d) -2/7
d
Which is the closest to -0.00535? (a) -0.06 (b) 2 (c) 0.3 (d) -3/5
a
Which is the nearest to 0? (a) 14 (b) 1/5 (c) 3 (d) 0.3 (e) 12209
b
What is the closest to -1 in -1/3, -0.1, 13, -15/28, 1/5?
-15/28
Which is the nearest to -2.7? (a) 82.7 (b) 3/4 (c) 0.2
c
Which is the closest to 0.73? (a) 11 (b) 4 (c) 0 (d) -0.01
c
Which is the closest to -35? (a) 0.5 (b) 2 (c) -0.14 (d) -111 (e) 2/19
c
Which is the closest to -1/25? (a) 5 (b) -5 (c) 0 (d) -9/5
c
What is the nearest to 2/11 in -0.1, 0.1976, 1?
0.1976
Which is the nearest to -0.44? (a) 0 (b) 0.95 (c) 2
a
Which is the nearest to -2/3? (a) -2 (b) -2/1073 (c) 2/17 (d) -4 (e) 5
b
What is the closest to 0 in -1, -45, 15.5?
-1
What is the closest to -2/5 in -4, 1, 20.5, 66?
1
What is the closest to 0.12 in 11, -0.08, -247?
-0.08
What is the nearest to -1 in -7, 4/7, -189, 6?
4/7
Which is the nearest to 4.8? (a) 0.6 (b) 2 (c) -1/7
b
What is the nearest to 1 in 1117, 6, -2/15?
-2/15
What is the closest to 447 in -8, 0.4, -18.9?
0.4
Which is the closest to 2? (a) -4 (b) 7.42 (c) 16 (d) 2/23 (e) 3
e
Which is the closest to -1? (a) -0.5 (b) 1/135 (c) -2/3 (d) -12 (e) 0.4
c
What is the nearest to 0 in -3/2, 33/4, -2.8, 5?
-3/2
What is the closest to 1/5 in 0.4, -3, -33, -0.01?
0.4
What is the nearest to 134 in 3, -103, -0.2?
3
What is the closest to -6 in -7.5, 73, 1/4?
-7.5
W
|
{
"pile_set_name": "DM Mathematics"
}
|
-10)*(-1 - -44). Let q = -42 - i. Calculate the remainder when 1 is divided by q.
0
Suppose 0 = -0*l + l + 9. Let x = -343 + 348. Calculate the remainder when (6/l)/(4/(-42) - 0) is divided by x.
2
Let a(r) = -6*r + 3. Let l(t) = 4*t**2 - 4*t + 10. Let q be l(3). Let x(s) = s + 44. Calculate the remainder when x(q) is divided by a(-3).
15
Let b(c) = 21*c**2 - 3*c + 1. Suppose 8*z = 2*z + 6. Let v = -61 + 151. What is the remainder when v is divided by b(z)?
14
Let s(b) = b**2 + 4 + 6*b - 25 + 3 + 0*b. Calculate the remainder when s(5) is divided by ((-100)/(-30))/((-2)/(-6)).
7
Let r(k) = -k**2 - k + 22. Let y be r(-4). Suppose -y*u = -22 - 28. Suppose -6*p + 66 = u*p. What is the remainder when 53 is divided by p?
5
Suppose -4*a + 5*a = -19*a + 840. What is the remainder when 231 is divided by a?
21
Let s be (2/(-3) + 2)/((-4)/(-18)). Suppose 0 = g + s*g. Suppose -2*n - 230 = -2*b, g = b - 5*b - n + 460. Calculate the remainder when b is divided by 20.
15
Let n = -8799 - -9143. What is the remainder when n is divided by 23?
22
What is the remainder when -29226*((-73)/6 + 13)*(-2)/5 is divided by 58?
56
Suppose 5*a - 7*a = -8. Suppose -a*o + 25 = -23. Suppose 10*c - 7*c - o = 0. Calculate the remainder when 22 is divided by c.
2
Let u(m) = 17*m - 7. Calculate the remainder when 40/((-5)/(-12 - -2)) is divided by u(2).
26
Suppose -5*p - i + 500 = 0, -5*p + 3*i + 384 = -136. Calculate the remainder when 2013 is divided by p.
94
Let j(s) = s**3 + 12*s**2 + 18*s + 138. What is the remainder when 235 is divided by j(-11)?
52
Let h(l) = 10*l**2 - 119*l + 117. Calculate the remainder when h(15) is divided by 570.
12
Let u(p) be the third derivative of p**5/30 + 19*p**4/12 - 5*p**3/6 - 5*p**2 - 15*p. What is the remainder when 418 is divided by u(-20)?
33
Suppose 38*q - 78 - 226 = 22*q. Calculate the remainder when 5888 is divided by q.
17
Suppose -33*s + 663 = -0*s + 300. Calculate the remainder when 2306 is divided by s.
7
Suppose -7*k = -n - 3*k + 50, -202 = -5*n + 4*k. What is the remainder when n is divided by 2/((-16)/(-3)) - 2*(-1480)/640?
3
What is the remainder when 1501172/1746 - 2/(-9) is divided by 86?
0
Let j(d) = d**2 - 2*d + 9. Let k(l) = -l**2 - l + 1. Let f(b) = j(b) + 2*k(b). What is the remainder when 27 is divided by f(-4)?
5
Suppose 6*o - 4*o + 4 = 0. Let t(n) = 31*n**2 + 3*n. Calculate the remainder when t(o) is divided by 40.
38
Let k = -547 - -1290. Calculate the remainder when k is divided by 359.
25
Let k(l) = -7*l**2 - 23*l + 5. Let u(c) = 4*c**2 + 11*c - 3. Let s(g) = -3*k(g) - 5*u(g). Calculate the remainder when s(-15) is divided by 12.
3
Let f be 305/2*(-20)/25. Let w = f + 176. Calculate the remainder when ((-52)/12)/((-3)/w) is divided by 16.
14
Let h(q) = -170*q + 21. Let g be h(6). Let l = g + 1719. Calculate the remainder when 94 is divided by ((-6)/5)/((-27)/l).
30
Let w = 342 + -368. Let o(y) = y**2 + 27*y + 61. Calculate the remainder when 89 is divided by o(w).
19
Let j be -141 + ((-5)/2)/((-1)/(-2)). Let x = j - -181. What is the remainder when x is divided by 18?
17
Let c = 2309 + -600. What is the remainder when c is divided by 24?
5
Calculate the remainder when 134 is divided by (-3 - (-8)/3)/(2/(-198)).
2
Suppose 15*p - 2302 = -97. What is the remainder when 601 is divided by p?
13
Suppose 0 = -48*k + 8*k - 46*k + 2494. What is the remainder when 1531 is divided by k?
23
Let q = -10406 + 10426. What is the remainder when (-33)/22*46/(-3) is divided by q?
3
Let z(j) = -j**2 + 49*j - 429. Let x = -202 - -304. What is the remainder when x is divided by z(36)?
24
Let d = 14 - -9. Suppose o - d = -5. Let f(m) = 88*m**2 - 3*m - 2. What is the remainder when f(-1) is divided by o?
17
Suppose -1152 + 81 - 117 = -9*c. What is the remainder when 141 is divided by c?
9
Let d = 1552 + -1548. Suppose -i + 2*g = -60, i = -0*i - 4*g + 54. What is the remainder when (d - 16)/6*i/(-4) is divided by 20?
9
Let t be -4 + (-11049)/(-58)*(-4)/(-6). Suppose 58 = -5*b + t. Calculate the remainder when 24 is divided by b.
11
Let x = -871 + 875. Suppose 58 - 4 = h + i, -x*h + 201 = -i. Calculate the remainder when h is divided by 17.
0
Suppose 0 = -2*u - 9 + 53. Let d be 77/11 - (4 - 1). Let p(s) = 2*s**2 - s + 33. Calculate the remainder when p(d) is divided by u.
17
Suppose -4*w = -9*w. Suppose -9*a + 350 + 19 = w. Let h = a - -29. Calculate the remainder when h is divided by 25.
20
Suppose 17*l - j = 18*l - 470, -3*l - 2*j + 1410 = 0. What is the remainder when l is divided by 177?
116
Let h = 219 + -176. Suppose m = 4*j + 612, 4*m + 1395 = 4*j + 3879. Let c = m + -367. What is the remainder when c is divided by h?
42
Let h = 2 - 8. Let f be (-1)/(4 + (-4)/(-8)*h). Calculate the remainder when (2 - 3)*f + -1 + 98 is divided by 33.
32
Suppose 10*n + 6020 = 38*n. Let g(p) = 28*p + 6. Let c be g(-3). Let i = c + 109. What is the remainder when n is divided by i?
29
Suppose -1540*x + 76 = -1539*x. Calculate the remainder when x is divided by 50.
26
Let s(n) = -33*n**3 - n**2 + 5*n + 6. Let z(w) = 5*w + 1 - 11 - 6*w + 4*w. Let k be z(3). What is the remainder when 95 is divided by s(k)?
29
Let o(c) be the third derivative of 0 + 1/2*c**4 + 3/20*c**5 - 32*c**2 - 1/120*c**6 + 0*c + 1/2*c**3. Calculate the remainder when o(10) is divided by 16.
7
Suppose -15*i + 3481 = -6299. Calculate the remainder when i is divided by 35.
22
Suppose 3*z + 48 = 54. What is the remainder when 16 is divided by 15 + (-3 - (4 - z))?
6
Suppose -438*k = -447*k + 36. Suppose 4*c - 2*d = -4*d + 44, 0 = -2*c - k*d + 22. Let j(h) = 16*h**2 - 2*h + 2. What is the remainder when j(2) is divided by c?
7
Let l = 50 + -55. Let i(b) = -b**3 - 2*b**2 + 13*b + 17. Suppose -4*t = -2*t - 154. Calculate the remainder when t is divided by i(l).
23
Suppose 2*k + 27 = 5*q + 6, -4*q + k = -15. Suppose -g = -4, q*v - 3*g + g - 7 = 0. Suppose 33 = v*a - 332. What is the remainder when a is divided by 15?
13
Let s = -158046 - -158152. What is the remainder when s is divided by (-34)/(-5) - 3/(-15)?
1
Suppose 0 = 4*r + 3*z - 27, -z + 15 = 4*r - 26. What is the remainder when 3801 is divided by r?
9
Suppose 4*n + 0*n - 48 = 0. Let f = 645 + -638. Calculate the remainder when n is divided by f.
5
Suppose -36*c - 243 + 963 = 0. Calculate the remainder when 40 is divided by c.
0
Suppose 0 = 9*r - 205 + 88. What is the remainder when 5030 is divided by r?
12
Let o(q) = -2*q**3 - 6*q**2 - 3*q - 5. Calculate the remainder when o(-4) is divided by (-110)/(-5) - (-6 - -8).
19
Let s(u) = 5*u**2 - 748*u + 464. What is the remainder when 1185 is divided by s(149)?
12
Let g be (1 - -1)/2 - (-288)/(-18). Let q = 18 + g. Suppose -3*t - q*m = -360, 6*m = -5*t + 3*m + 604. Calculate the remainder when t is divided by 32.
26
Let n = -1405 - -1439. Let r(u) = 38*u + 1. Calculate the remainder when r(8) is divided by n.
33
Suppose 3*f - 3751 = -15*f - 3319. Let v(u) = u**3 + 6*u**2 + u - 4. Calculate the remainder when f is divided by v(-5).
8
Let h be -2 + 8/32*-4. Calculate the remainder when 47 is divided by (10/(-14) + h)*91/(-26).
8
Let d(t) = -3*t**2 - 56*t - 203. Let q(p) = 2*p - 5. What is the remainder when d(-7) is divided by q(8)?
9
Calculate the remainder when (1 - 4)*(-37)/3 is divided by (-4)/(-6) - (0 + 480/(-36)) - 4.
7
Let l(s) be the second derivative of -42*s - 5/2*s**3 + 1/20*s**5 + 0 - 7/6*s**4 + 11*s**2. Calculate the remainder when 109 is divided by l(15).
21
Let s(k) = -18*k + 990. Calculate the remainder when 138 is divided by s(52).
30
Let t(i) = -18*i + 16. Calculate the remainder when t(-21) is divided by 11.
9
Suppose -6*x + 8*x = 8. Suppose -2*a + 3*t + 51 = 0, -3*t - 11 + 68 = x*a. Calculate the remainder when 64 is divided by a.
10
Let t be 2*((-324)/(-8) - -2). Let x = t + -71. Let p(n) = -n**2 + 15*n - 10. What is the remainder when 6 is divided by p(x)?
2
Suppose -30*p + 49*p - 954 = -34*p. Suppose 0 = -0*m + 5*m - 1160. Calculate the remainder when m is divided by p.
16
Let x be (-4)/(-34) - (-65090)/170. Let d = 565 - x. What is the remainder when d is divided by 4*3/((-12)/(-37))?
34
Let o(h) = 114*h**3 - 6*h + 1 - 113*h**3 + 1 + 2*h**2. What is the remainder when 231 is divided by o(2)?
3
What is the remainder when 1120 is divided by (-5)/2 - 1012/(-264) -
|
{
"pile_set_name": "DM Mathematics"
}
|
in base 14?
5a9
What is -12576 (base 9) in base 5?
-232433
1110000100 (base 2) to base 5
12100
Convert -201222 (base 4) to base 3.
-2221210
What is -23401 (base 5) in base 3?
-2100221
What is 20120 (base 5) in base 14?
67b
What is -10000122 (base 3) in base 2?
-100010011100
Convert -3675 (base 14) to base 8.
-22447
-205250 (base 8) to base 2
-10000101010101000
What is 2225 (base 9) in base 8?
3153
What is 202124 (base 5) in base 15?
1e0e
What is -123334 (base 8) in base 3?
-2011121002
Convert -1110 (base 8) to base 11.
-491
1060 (base 8) to base 15
275
ec (base 16) to base 10
236
Convert -11100010000 (base 2) to base 12.
-1068
Convert -1ab6 (base 16) to base 9.
-10337
What is -14351 (base 6) in base 5?
-33144
Convert -1 (base 2) to base 4.
-1
Convert -11726 (base 10) to base 3.
-121002022
What is -1010001000110111 (base 2) in base 10?
-41527
-113131 (base 4) to base 5
-22001
Convert 10111100111 (base 2) to base 7.
4256
What is 522 (base 15) in base 13?
6b0
-101110011000 (base 2) to base 6
-21424
11450 (base 8) to base 11
3759
What is 112012 (base 3) in base 4?
11333
What is -151724 (base 8) in base 15?
-11103
What is 220245 (base 6) in base 9?
27022
Convert 89b4 (base 16) to base 6.
431112
Convert 2700 (base 8) to base 2.
10111000000
What is -23554 (base 7) in base 12?
-3657
Convert -10010000101 (base 2) to base 13.
-6b0
-1200102 (base 4) to base 9
-8406
20003 (base 4) to base 15
245
What is -90 (base 10) in base 4?
-1122
-10253 (base 6) to base 5
-21101
What is -100022202 (base 3) in base 6?
-51245
1807 (base 9) to base 15
624
Convert 10001 (base 2) to base 5.
32
Convert -1228c (base 13) to base 2.
-1000001010000001
1340 (base 8) to base 16
2e0
51637 (base 9) to base 6
421354
Convert -3a7 (base 14) to base 11.
-609
-15a7 (base 14) to base 2
-111100011111
2562 (base 10) to base 7
10320
489 (base 15) to base 14
537
Convert 4544 (base 9) to base 10.
3361
857 (base 15) to base 10
1882
Convert 38a (base 16) to base 10.
906
1a8 (base 14) to base 16
158
What is 537 (base 8) in base 3?
111000
Convert 10011000 (base 2) to base 7.
305
What is -876 (base 16) in base 5?
-32131
222414 (base 5) to base 16
1eb3
-34111 (base 5) to base 10
-2406
-ecd (base 15) to base 7
-12514
2063 (base 14) to base 15
19ba
What is 38b (base 15) in base 5?
11211
What is -439 (base 16) in base 2?
-10000111001
Convert 11347 (base 9) to base 11.
5768
Convert -68 (base 13) to base 14.
-62
1648 (base 11) to base 2
100000111101
Convert 3ca (base 13) to base 7.
1651
-2110332 (base 4) to base 9
-14063
What is -204022 (base 5) in base 16?
-1a6a
327d (base 14) to base 2
10001000011111
57576 (base 9) to base 15
b58c
Convert -125 (base 7) to base 13.
-53
-2450 (base 9) to base 4
-130203
What is 26 (base 15) in base 13?
2a
What is -10333 (base 6) in base 13?
-858
Convert -4762 (base 8) to base 11.
-1a05
Convert 1672 (base 8) to base 5.
12304
Convert 14373 (base 9) to base 7.
40350
Convert -464 (base 16) to base 4.
-101210
What is 1231 (base 9) in base 12?
647
2100233 (base 4) to base 12
543b
Convert -12411 (base 6) to base 2.
-11101010111
What is 4516 (base 7) in base 11?
1252
Convert -121a7 (base 15) to base 5.
-3322012
What is 1334 (base 7) in base 12?
36b
Convert 22202 (base 3) to base 11.
1a5
-1101101111011 (base 2) to base 8
-15573
Convert -538 (base 16) to base 11.
-1005
35d1 (base 15) to base 13
5296
What is 3466 (base 7) in base 11?
a58
Convert -2313 (base 4) to base 16.
-b7
What is -37 (base 10) in base 3?
-1101
-3481 (base 14) to base 12
-5349
What is 23102033 (base 4) in base 10?
46223
What is -112200011 (base 3) in base 2?
-10100111001000
Convert -38 (base 16) to base 5.
-211
What is 20421 (base 6) in base 14?
1005
Convert 21310001 (base 4) to base 14.
1090d
Convert bcd (base 16) to base 10.
3021
Convert -403 (base 9) to base 16.
-147
Convert 101011011010 (base 2) to base 10.
2778
120112 (base 4) to base 9
2121
101110101 (base 2) to base 6
1421
What is -205215 (base 6) in base 5?
-1013330
What is e9e (base 15) in base 9?
4465
What is 1600 (base 11) in base 5?
31212
What is -4ddd (base 15) in base 12?
-9761
222211 (base 3) to base 15
334
Convert 12463 (base 9) to base 10.
8400
What is -3814 (base 16) in base 11?
-a871
Convert -13 (base 7) to base 16.
-a
3e25 (base 15) to base 6
141342
Convert 78 (base 12) to base 8.
134
Convert -1014 (base 7) to base 5.
-2404
Convert -84 (base 15) to base 4.
-1330
Convert 24241 (base 6) to base 11.
2740
What is 477 (base 10) in base 7?
1251
Convert -7a9 (base 13) to base 3.
-1210222
380 (base 15) to base 11
663
What is -70a7 (base 12) in base 4?
-2332333
1717 (base 14) to base 2
1000000101001
What is 15412 (base 9) in base 4?
2210231
What is -1da (base 14) in base 6?
-1444
Convert -16051 (base 8) to base 3.
-100220000
-8953 (base 15) to base 4
-13012233
What is -100100 (base 4) in base 7?
-3014
What is 2343 (base 9) in base 12?
1010
Convert 366 (base 15) to base 9.
1046
Convert 114644 (base 8) to base 14.
10496
Convert -1810 (base 16) to base 9.
-8404
801 (base 11) to base 13
597
4aad (base 16) to base 8
45255
Convert 3341 (base 10) to base 3.
11120202
Convert 21233 (base 4) to base 2.
1001101111
Convert 3231 (base 8) to base 15.
779
What is 200100 (base 4) in base 6?
13320
What is 546 (base 15) in base 4?
102213
cd2 (base 14) to base 9
3427
-10000011101001 (base 2) to base 16
-20e9
What is 2022230 (base 4) in base 3?
110011202
What is 11019 (base 12) in base 7?
122361
What is -10b5 (base 12) in base 14?
-973
What is -2433 (base 10) in base 13?
-1152
240 (base 11) to base 3
101121
1523 (base 8) to base 3
1011112
What is -a63 (base 15) in base 14?
-bd5
Convert -1714 (base 15) to base 2.
-1001101101001
1223012 (base 4) to base 5
204404
4020 (base 16) to base 13
761a
Convert 50 (base 15) to base 6.
203
121100 (base 3) to base 16
1b9
Convert 331b (base 12) to base 5.
140024
Convert -22233303 (base 4) to base 14.
-12083
6512 (base 12) to base 14
4090
What is 415026 (base 7) in base 6?
1310220
3bdc (base 15) to base 11
9693
4556 (base 9) to base 5
101442
40705 (base 9) to base 7
141116
What is -1a50 (base 12) in base 13?
-1614
-102111000 (base 3) to base 16
-20b2
Convert 15a5 (base 13) to base 16.
c69
What is -10209 (base 12) in base 3?
-1001212000
-11010111010111 (base 2) to base 5
-420113
32ea (base 16) to base 5
404114
Convert 1233 (base 8) to base 15.
2e7
34041 (base 5) to base 2
100101011100
What is 0 (base 12) in base 4?
0
What is -220a (base 13) in base 4?
-1022012
What is -805 (base 15) in base 4?
-130031
Convert -6120 (base 9) to base 6.
-32413
What is 101225 (base 6) in base 13?
38a8
Convert -10063 (base 13) to base 3.
-1110021211
What is 1f4 (base 16) in base 8?
764
836 (base 10) to base 16
344
-33 (base 14) to base 9
-50
Convert -304 (base 10) to base 13.
-1a5
2165 (base 10) to base 12
1305
11002311 (base 4) to base 13
9534
18d (base 16) to base 3
112201
Convert 305 (base 13) to base 9.
628
3000 (base 6) to base 11
53a
Convert -1da1 (base 14) to base 2.
-1010100111001
Convert -300121 (base 4) to base 12.
-1961
Convert -4330 (base 6) to base 3.
-1100200
Convert 3cc (base 14) to base 6.
3320
What is 3833 (base 9) in base 10?
2865
Convert 10010100000110100 (base 2) to base 3.
10212000110
111010011001101 (base 2) to base 12
15379
What is 3232301 (base 5) in base 3?
2210220010
Convert 392 (base 13) to base 4.
21302
-23032 (base 5) to base 8
-3152
What is -214411 (base 5) in base 4?
-1310321
What is 10110000010 (base 2) in base 16?
582
-1845 (base 12) to base 4
-231311
Convert -6627 (base 11) to base 12.
-5085
11cb9 (base 13) to base 15
9b5d
Convert 2024212 (base 5) to base 6.
413013
41870 (base 11) to base 12
2b324
What is 103101 (base 6) in base 16?
210d
Convert -2323 (base 6) to base 14.
-2b9
Convert 451 (base 7) to base 13.
14b
What is -7ba (base 14) in base 9?
-2086
What is -9d8 (base 14) in base 13?
-b74
What is 25303 (base 10) in base 3?
1021201011
What is 15130 (base 8) in base 6?
51120
Convert -5626 (base 8) to base 2.
-101110010110
Convert -1510 (base 7) to base 8.
-1123
135364 (base 8) to base 14
13628
Convert 45e (base 15) to base 16.
3dd
-2218 (base 9) to base 2
-11001100101
Convert -36713 (base 8) to base 10.
-15819
-7b7 (base 14) to base 3
-2002210
1111111110100 (base 2) to base 12
4898
Convert 30054 (base 6) to base 14.
160
|
{
"pile_set_name": "DM Mathematics"
}
|
-3765266.7
Total of 23567228 and 196.061.
23567424.061
What is the distance between -1290948995596 and 0.011?
1290948995596.011
What is -947575130328 less than 0?
947575130328
What is -1 take away -0.030168031404?
-0.969831968596
-0.22762 + -246038167
-246038167.22762
What is 5.94 take away -86388431460?
86388431465.94
What is -3203717.459 minus -26.34?
-3203691.119
-1126349566 + 564
-1126349002
Put together 398619.62 and 10517.
409136.62
Sum 0.003 and 54338836746.
54338836746.003
Total of -2243283 and -52.287.
-2243335.287
What is -53050298172.6 + -0.5?
-53050298173.1
Sum 715252892464 and -4.
715252892460
Put together -0.22 and 430820700.5723.
430820700.3523
What is -1813 less than -1915391886?
-1915390073
Work out 6 - 1765164780342.
-1765164780336
What is the distance between 0.93928131196 and 351?
350.06071868804
Calculate -90918 - -35136011.
35045093
What is -212319944 less than -46?
212319898
-21522935.44 - 1.403
-21522936.843
What is 68118063 plus -371114?
67746949
2+-776928585328
-776928585326
What is the distance between -0.06548 and -52258052?
52258051.93452
Calculate 2529.1 - 7786378.
-7783848.9
Add -5 and 8708.4315297.
8703.4315297
Add together -362027 and -3906632.
-4268659
What is 0 - 34359173909277?
-34359173909277
Subtract 32950.42311 from 10.
-32940.42311
What is -0.0100964329965 take away 0.2997?
-0.3097964329965
Subtract 91019 from 52535183.
52444164
What is -1683.0462 plus 4085648?
4083964.9538
What is -5315.858 take away -0.1114?
-5315.7466
Subtract -0.14 from -5478349049.
-5478349048.86
What is -0.34 + -450034855?
-450034855.34
What is 184788 + 721450643?
721635431
Calculate -187621891 + 0.728.
-187621890.272
Subtract 6 from -0.10246996173447.
-6.10246996173447
What is -1482.55 take away 57047462?
-57048944.55
What is -1.01 take away 280781.2095?
-280782.2195
-18.1+33897.17708
33879.07708
What is -3023124974 - 0?
-3023124974
What is 588086005 less than -392?
-588086397
What is 410696794525.1 plus 110?
410696794635.1
What is 4.4 take away 7263878.843?
-7263874.443
0.0726+142421744.202
142421744.2746
Work out -2.59 + 64618.92299.
64616.33299
What is the difference between 0.2 and 7389591.689052?
7389591.489052
What is 3.324073218514 plus -0.2?
3.124073218514
41862303006 + -49
41862302957
What is the distance between -7.5098 and -4825943.294?
4825935.7842
What is -8719.99 - 2.55275?
-8722.54275
What is 26117.7 plus 801344577?
801370694.7
What is -32362373944.29 minus 4.5?
-32362373948.79
Work out -2839739.839 + 22.457.
-2839717.382
Calculate -0.4 - 549726278914.
-549726278914.4
Subtract -2503 from 5827280560.
5827283063
What is 3548122962347 less than -3?
-3548122962350
What is 760880939 plus 0.5616?
760880939.5616
What is 5 plus -4.956472088082?
0.043527911918
0.8 - -592.71533283025
593.51533283025
What is 0.49511 take away 10197.967926?
-10197.472816
What is 0.0058 + 1114445735292?
1114445735292.0058
What is the distance between 52468.5 and -345444884?
345497352.5
What is -34005.02 minus -0.66471?
-34004.35529
What is -7296923233 less than -452?
7296922781
Add 5.0196 and -0.0008683592.
5.0187316408
Subtract 0.2 from -5236187482780.
-5236187482780.2
What is -13627 + -3.065196312?
-13630.065196312
What is 3 take away -272.01069121?
275.01069121
Add together 0.13 and -0.703306571842.
-0.573306571842
Put together 333021.69 and 0.12608.
333021.81608
What is the difference between -5 and -213808471519?
213808471514
-2976 - -852945019.12
852942043.12
Subtract -0.02 from 5436048258.
5436048258.02
Work out 108896 + 77.34301.
108973.34301
What is 1401 take away -647747208?
647748609
-1861460523 - -0.53
-1861460522.47
Subtract 8.778 from 466634968.
466634959.222
Add together 251396.2 and -11411981.
-11160584.8
What is 0.04 + -52149994163?
-52149994162.96
What is 0.15251145 minus 2350.3?
-2350.14748855
What is -452 take away -53490706?
53490254
What is -11897197 take away -72527.6?
-11824669.4
What is 33.6 + -337956719?
-337956685.4
What is -99845699 less than 4.073?
99845703.073
What is -3.7 less than -12843876521?
-12843876517.3
Total of 0.1371 and -38828725227.6.
-38828725227.4629
What is 135.75 plus 13.0139784?
148.7639784
Sum 114280 and -0.54678216.
114279.45321784
What is -0.36159002 take away 312547?
-312547.36159002
What is 0.59329357069 less than -3307?
-3307.59329357069
What is 67681.9157298 take away -0.5?
67682.4157298
Work out -12249682298511 - -0.5.
-12249682298510.5
Put together 0.4 and 433221952403705.
433221952403705.4
What is the difference between -4344.5603 and -3084507?
3080162.4397
Work out -1191410046 + 12.
-1191410034
Add -0.087 and 2225179451.5.
2225179451.413
Total of 644312879561 and 79.
644312879640
-168 + -3957.531983
-4125.531983
Subtract -4266461330.9871 from 3.
4266461333.9871
What is 33 - 314732723271?
-314732723238
0.5+3.688279627522
4.188279627522
What is 39.1431339158 less than -2.8?
-41.9431339158
What is -2851.01 take away 444463836?
-444466687.01
207484530190+-29
207484530161
What is -1235831995399 minus 375?
-1235831995774
Add -36.096705769 and -0.4.
-36.496705769
What is -31.671256 - -2250?
2218.328744
What is 18947.696 less than -439?
-19386.696
0.144+1.3816350614729
1.5256350614729
Work out -41388468136.5 + 2.11.
-41388468134.39
-7659820.8439 + 0.052
-7659820.7919
Work out 835901.334 + 159.1.
836060.434
Work out -26841108.9512 + 2.
-26841106.9512
Add -117556449418 and -0.4.
-117556449418.4
Sum -1659.5 and 79.443356347.
-1580.056643653
What is 19708642000022 less than -5.5?
-19708642000027.5
Total of -0.72800391531 and 650.
649.27199608469
Add 3975300 and -5277.9678.
3970022.0322
What is the distance between -108.304644701216 and 0.2?
108.504644701216
Calculate 82541649.5617 - 27.
82541622.5617
-17612384214.2 - -0.5
-17612384213.7
What is 2349194171467.85 less than -0.1?
-2349194171467.95
17.21325193557 - -0.4
17.61325193557
What is -6300503.2 minus -142289?
-6158214.2
What is 0.2 minus 3008125647990?
-3008125647989.8
0.400312+-347891838
-347891837.599688
What is 44976981 minus 6018?
44970963
Subtract -6336.61 from 2719.8335.
9056.4435
What is -0.2 less than -139928093721?
-139928093720.8
What is 670 plus 12403328307?
12403328977
What is -87527048569 take away -252?
-87527048317
Calculate 75134 - 0.0739528.
75133.9260472
Work out 0.33425263 - -16552.
16552.33425263
Work out -5851661258225 - 5.
-5851661258230
Work out -8.8 - 3305562214562.
-3305562214570.8
What is 4149.169028 less than -615.98?
-4765.149028
What is -816375.1 less than 284889?
1101264.1
Work out 49 - 1900913040459.
-1900913040410
What is 581477.96 take away -170.44?
581648.4
What is the difference between -998583192550 and 12?
998583192562
-5692943481 - 32
-5692943513
Sum 0.056897137 and 44932.
44932.056897137
What is 1.9 + 62.87816817926?
64.77816817926
What is 124292213424.5 less than 0.4?
-124292213424.1
0.06816257825739 + -0.1
-0.03183742174261
Put together 759057 and 0.4778792.
759057.4778792
Subtract -2787.24 from 23449676.
23452463.24
17+245091937307
245091937324
2653678605+-24.7
2653678580.3
What is -856676255338.9 + 0.2?
-856676255338.7
What is -4946994 minus 12.47065?
-4947006.47065
Work out -2621 - -5114968422.
5114965801
What is the difference between -1268.902 and 169503?
170771.902
Work out 16.1755 + 97246.3.
97262.4755
Work out 26.9432327 + -3880.3.
-3853.3567673
Total of -131343180 and -1089.73.
-131344269.73
What is 7 minus 303.860463787?
-296.860463787
What is the difference between 3.1382 and 1386456095?
1386456091.8618
Add 1644535 and -2701958.
-1057423
What is the difference between -0.10897435 and -1211.804?
1211.69502565
What is 2731927999 plus 456.2?
2731928455.2
Calculate -8018 + 0.70169519.
-8017.29830481
15967.7581 - -9891.6
25859.3581
Sum -33198749959473 and 0.5.
-33198749959472.5
What is -9608431 + -23.28?
-9608454.28
Work out 1964220361642 + -0.56.
1964220361641.44
Work out 65783 + 66582359.
66648142
Total of 15.52 and -11214384106.
-11214384090.48
What is -1.5147306 less than 32225?
32226.5147306
What is -21 + 62408478203?
62408478182
Add 1022662 and -50114641.
-49091979
What is the difference between -76775156 and -0.6379?
76775155.3621
What is the difference between -0.5881887 and -1945710?
1945709.4118113
-3972 - 6.235052116
-3978.235052116
Total of -142376 and 1183479.
1041103
Subtract 5627
|
{
"pile_set_name": "DM Mathematics"
}
|
999872 + q. What is u rounded to 5 decimal places?
0.00013
Let r = 1479586 - 837496. Round r to the nearest ten thousand.
640000
Suppose 5*y + 2*x + 1268842 = 0, -158114 = 5*y + 4*x + 1110720. Round y to the nearest 1000.
-254000
Let f = -106.474389 - -117.7744548. Let b = f + -11.3. Round b to 5 decimal places.
0.00007
Suppose -35736 = -4*j + 9*l - 7*l, 2*j = -3*l + 17884. Suppose -m - 2*z - 92806 = 0, 4*m + 380121 = 5*z + j. What is m rounded to the nearest ten thousand?
-90000
Let u = 1.1122369961 - 1.11222. Round u to six decimal places.
0.000017
Let l = 30034 - 30034.63311. Let j = -14 - -14.63. Let r = l + j. Round r to 4 decimal places.
-0.0031
Let g = -2.79867 + 2.77. Round g to two decimal places.
-0.03
Suppose -3*l = -4*d + 25, d - 1 = l - 2*l. Suppose -h - 5*c + 313 = 0, -2*c - 650 + 1938 = d*h. Let z be 4 - (-4 + h)*-22884. Round z to the nearest 1000000.
7000000
Let m = 7.4 + -6.74. Let a = -0.692 + m. Let l = a + 0.015. Round l to two dps.
-0.02
Let t = -4039768.0942 - -4039008. Let y = t + 760. Round y to 3 decimal places.
-0.094
Let f = 4155 + -2875. Let y = 1287.77 - f. Round y to zero dps.
8
Let o(v) = -20*v**3 - 3*v**2 - 2*v - 1. Let g be o(-1). Suppose -6*p = -2*p - 12. Let b be 463999995/10 + p/g*3. What is b rounded to the nearest one million?
46000000
Let c = -810.884 - -811. Let v = 0.0574 - c. What is v rounded to two dps?
-0.06
Suppose 3*u + a = 4*u - 1774, -5*a = 5*u - 8830. Let j = u + 320. What is j rounded to the nearest 100?
2100
Let s = -667518480.829996924 + 667518490. Let t = 9.17 - s. What is t rounded to seven dps?
-0.0000031
Let b = 65.1 + -65.0998648. Round b to four decimal places.
0.0001
Let a = 2.397 + -32.91. Round a to one dp.
-30.5
Suppose 0 = -3*f - 5*f + 48. Let v be 8/2 + (-30)/f. Let g be (3 - (-1 + 5))/v - -279. Round g to the nearest 100.
300
Let y = 63754.6 + -63733.60104. Let j = y - 21. Round j to four decimal places.
-0.001
Let o = 3011 - 3008.981. Let q = 0.591 - o. Round q to one decimal place.
-1.4
Let k = 3423896.572 + -3385104. Let f = k + -39052.57367. Let x = f + 260. Round x to 3 dps.
-0.002
Let m = -22077.000020235 - -22077. What is m rounded to seven decimal places?
-0.0000202
Let h = -371189.1 - -371341.2497. Let v = -112.8296 - h. Let t = v + 265. Round t to 3 decimal places.
0.021
Let k(g) be the first derivative of -1/3*g**3 - 20 + 2*g**2 + 23300*g. Let w be k(0). What is w rounded to the nearest 1000?
23000
Suppose 6*i + i + 28 = 0. Let k(x) = -2*x**2 - 9*x - 3. Let u be k(i). Suppose 38497 = -5*s - 3*l, -u = 4*l - 5. Round s to the nearest one thousand.
-8000
Let m be -25*(-160)/8*(-3 - -19553). What is m rounded to the nearest one million?
10000000
Let b = -308799 - -308578.633. Let j = b + 220. Round j to 2 decimal places.
-0.37
Let c = -28.76 + -75.2. What is c rounded to the nearest integer?
-104
Let d = 51.91 + -0.91. Let o = -53262.7 - -53211.69996. Let s = d + o. Round s to five decimal places.
-0.00004
Let c = 16 - 26. Let f = -944321.99834 + 944332. Let u = c + f. Round u to four decimal places.
0.0017
Let t be (6229/4 - 6) + (-3)/(-4). Suppose -268 = i + t. Let o = -820 - i. What is o rounded to the nearest 10000?
0
Let z = 145.521 + -145.7. Let l = -410.531 - -405.7. Let x = l + z. Round x to 1 decimal place.
-5
Let p = -182169413855 - -182170018040.999992. Let m = p + -604217. Let y = 31 + m. What is y rounded to 5 dps?
-0.00001
Let l = -1.4533 - -7334.4533. Let o = l - 7333.16644. Let g = o + 0.17. Round g to 4 decimal places.
0.0036
Let p = -579.4 + 590. Let s = p - -40.64. What is s rounded to the nearest 10?
50
Let n = -3595 - -3594.21238. Round n to 2 dps.
-0.79
Let r(k) = -235*k**2 - 90*k + 365. Let l be r(-45). Round l to the nearest one thousand.
-471000
Let s = -6371566 + -2382434. Round s to the nearest one hundred thousand.
-8800000
Let a = 54427 + -53956.34. Round a to the nearest 10.
470
Let m = 55.1 - 55.391. Let a = -198.839 - -198.9. Let z = a + m. What is z rounded to one decimal place?
-0.2
Let k = 168053 + -168052.9618372. Let b = 0.0382 - k. What is b rounded to six decimal places?
0.000037
Let u = 33.6 + -29. Let x = u - -1. Let o = 5.600158 - x. What is o rounded to five decimal places?
0.00016
Suppose -p - 16219500000 = -56*p. Round p to the nearest 1000000.
295000000
Let j be (-35)/2*12/15. Let h(n) = 2 + 62*n**2 + 18*n - 129*n**2 + 68*n**2. Let f be h(j). What is f rounded to the nearest ten?
-50
Let d = 39.833 - -9.437. Let v = d + -49. Let h = 0.22 - v. Round h to 2 decimal places.
-0.05
Let g = 6844 + -2641. Let o = 7233 - g. Round o to the nearest one hundred.
3000
Let p = 0.215 + -0.249. Let t = 0.0340564 + p. Round t to five decimal places.
0.00006
Let d = -0.103175 - -0.05868. Round d to four dps.
-0.0445
Let u = 15980 + -15980.036028. Let y = u + 0.0376. What is y rounded to four dps?
0.0016
Let i = 278 - 1982. Let a = -3234 - i. Round a to the nearest ten thousand.
0
Let p be (-1 + 55)*5/(60/2032). Suppose -15*m + 33*m = -p. Round m to the nearest ten.
-510
Let v = 1010.0912 + -0.0912. Let r = 1010.000461 - v. What is r rounded to 4 dps?
0.0005
Let x = -56425220 - -37874320. Round x to the nearest 1000000.
-19000000
Suppose 2*v + 4 = 50. Suppose v*s - 12*s - 121000000 = 0. Round s to the nearest one million.
11000000
Let x = 66 + -71.16. Let b = 14.69 + x. What is b rounded to 0 dps?
10
Let a = 9.0735156345 + -0.0735151745. Let v = -0.042 - 8.958. Let u = a + v. Round u to 7 decimal places.
0.0000005
Let q = 345 - 343. Suppose 0 = 6*z + q*z + 56000. What is z rounded to the nearest one hundred?
-7000
Let n be 2319*(-1 - 3934/21). Let b = 309145 + n. Round b to the nearest one thousand.
-128000
Let v = -73340 + 73339.57759. What is v rounded to 1 decimal place?
-0.4
Let p = -0.021027 + 0.02050057. Round p to six dps.
-0.000526
Suppose -3274277 - 312025 = -3*b - 3*o, 0 = -3*b + 2*o + 3586297. Suppose 0 = -7*v + 26433 - b. What is v rounded to the nearest ten thousand?
-170000
Let c = 1074600 - 633900. Round c to the nearest 100000.
400000
Let z = 35.9 - 26.963. Let k = z + -0.677. Let i = k + -8.259999569. What is i rounded to 7 dps?
0.0000004
Let d = 17583144 - 17585106.8851. Let z = 1963 + d. What is z rounded to 2 decimal places?
0.11
Let f = 4705 - 4704.99991589. Round f to 4 dps.
0.0001
Let r(c) = -772*c**2 + 10*c + 2. Let d be r(-9). Let j = d - -102520. What is j rounded to the nearest ten thousand?
40000
Let n = 0.611 + -0.067. Let p = n - 31.244. What is p rounded to the nearest integer?
-31
Suppose 8837940 = -60*i + 66*i. Suppose -4*x = x + 2*a + i, 1178425 = -4*x + 5*a. What is x rounded to the nearest 10000?
-290000
Let x = 13073 + -13072.999968602. What is x rounded to five dps?
0.00003
Let i = 6700 + -6700.0006551. Round i to five dps.
-0.00066
Let d = 2358.0394 - 2228.02849. Let j = 130 - d. What is j rounded to three dps?
-0.011
Let q = 77 - 479. Let i = q + 402.645. What is i rounded to 1 decimal place?
0.6
Let d = 2.0788 + -1.9228. Let k = 421 - 417.986. Let s = d + k. Round s to one dp.
3.2
Let d = 121.48 + -0.48. Let u = d + -83. Let m = -38.008 + u. What is m rounded to 2 decimal places?
-0.01
Let i = -373166.48417 + 373168. Let g = -1.51 + i. Round g to 3 decimal places.
0.006
Suppose 7*u - 18 - 66 = 0. Let k be (-69)/u - -5 - (-15197)/(-4). Round k to the nearest ten thousand.
0
Suppose -2209 - 3281 = 2*w. Let u = 5149 + w. Suppose 5*b - 746 = u. What is b rounded to the nearest 100?
600
Let k = -5.6 - -134.6. Let m = 129.46 - k. Let t = 0.1 + m. Round t to 1 decimal place.
0.6
Let n = 0.043673 - 4805.243673. Round n to the nearest one thousand.
-5000
Let b(l) = -19700034*l - 68. Let c = 458 - 460. Let o be b(c). Round o to the nearest 1000000.
39000000
Let s = -8.87145 - -0.07345. Let l = 8.87563 + s. Let n = l - 0.078. Round n to 4 decimal places.
-0.0004
Let n = 339.2 + -339.200023235. What is n rounded to six dps?
-0.000023
Let r = 7.206 + -7.199677. Round r to four dps.
0.0063
Let w = -179.67986 + 68.68029. Let z = 111 + w. What is z rounded to 4 dps?
0.0004
Let l(k) be the third derivative of -1368*k**4 - 12*k**3 - 8*k**2 + 10. Let c be l(4). What is c rounded to the nearest ten thousand?
-130000
Let o = -31028.065 - -30954. Let q = o - -74. Let l = q + 0.064624. Round l to 5 dps.
-0.00038
Let y =
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(8)*-2) + (sqrt(5) + -6*(sqrt(5)*2 - sqrt(5) - sqrt(5)))**2).
3*sqrt(5)/2 + 14
Simplify -3 + (5 + (sqrt(3087) + -2 + 3)*-6)**2.
252*sqrt(7) + 111130
Simplify (-2 + sqrt(637))**2 + 0 + -4 + -1*sqrt(637) + 1.
-35*sqrt(13) + 638
Simplify ((sqrt(252) - sqrt(252)*-2) + (sqrt(63) - (sqrt(315)/(sqrt(5) + sqrt(25)/sqrt(5)) - sqrt(63))))/(-4*-4*sqrt(1089)).
15*sqrt(7)/352
Simplify sqrt(35)/(sqrt(90)/sqrt(2))*3*5.
5*sqrt(7)
Simplify (sqrt(297)*5 - -1*sqrt(297))/((sqrt(33) - sqrt(297)/sqrt(144))/sqrt(3)).
24*sqrt(3)
Simplify (((sqrt(162) + -1 + -3)**2 + sqrt(162))*2 - (sqrt(162) + 1 - sqrt(162) - sqrt(162))**2*1*-1)*6.
-864*sqrt(2) + 3114
Simplify (sqrt(16) + (sqrt(16) - (1*sqrt(256) + sqrt(256)) - sqrt(16)))/(1*sqrt(40)/sqrt(5)) + 0.
-7*sqrt(2)
Simplify 1*(5 + sqrt(275) + -1 + sqrt(275))**2*4.
320*sqrt(11) + 4464
Simplify 5 + sqrt(304) + -1 + -2 + sqrt(1539)*2.
2 + 22*sqrt(19)
Simplify (sqrt(99) + (sqrt(99) - ((sqrt(99) - (sqrt(99)*-2 + sqrt(99) - sqrt(99))) + sqrt(99)))*-2)/(sqrt(1296) - (sqrt(1296) - 2*sqrt(1296))).
7*sqrt(11)/24
Simplify ((sqrt(152)*-2*6 - (sqrt(152) + 1*sqrt(152))*-2)/((-1*(4*sqrt(96) - sqrt(96) - sqrt(96)) + sqrt(96))/sqrt(12)))**2.
1216
Simplify (sqrt(448) + sqrt(448) + sqrt(448) + -1)*-6 - (3 + (sqrt(700)*3)**2).
-6297 - 144*sqrt(7)
Simplify (-4*(sqrt(11) + 0 + sqrt(11)) + 1 + (0 + sqrt(11) + 1 - (-2 + -1 + sqrt(11) + sqrt(11))) + -3)**2.
-36*sqrt(11) + 895
Simplify ((sqrt(198)*2)/sqrt(11) - 2*sqrt(648))/(5*sqrt(108)/sqrt(3)).
-sqrt(2)
Simplify 5 + (4 + (3 + 1*sqrt(448) + sqrt(448))*4)**2.
2048*sqrt(7) + 28933
Simplify (6*(sqrt(832) - sqrt(832)*2) - sqrt(832))**2 + 5 + -2*sqrt(13) + 3.
-2*sqrt(13) + 40776
Simplify (-2*sqrt(931)*-4 - (1 + (sqrt(931) - (-1 + sqrt(931) - sqrt(931)))))**2.
-196*sqrt(19) + 45623
Simplify 1 + (-3*(sqrt(160)/sqrt(4) - sqrt(10))/sqrt(2) + 0)**2.
46
Simplify 6*((sqrt(605) - (sqrt(605) - (sqrt(605)*-1 + -1)))**2*-1 + 0).
-3636 - 132*sqrt(5)
Simplify ((sqrt(26) + (1*sqrt(286))/sqrt(11))*3)/(-5*(sqrt(4)/sqrt(2) + sqrt(2)) - -5*sqrt(18)).
6*sqrt(13)/5
Simplify (sqrt(91) + -2*sqrt(91)*-1 + sqrt(91))/sqrt(7) + sqrt(208) + ((1 + sqrt(208))*-5 + sqrt(208) - sqrt(208)).
-12*sqrt(13) - 5
Simplify (3*sqrt(686))/((sqrt(70)*-2 - sqrt(70))/sqrt(10)) + -2.
-7*sqrt(2) - 2
Simplify ((-5*sqrt(84)/sqrt(4)*1)/(sqrt(28)/((sqrt(24) + -2*sqrt(24))/sqrt(6))))**2.
75
Simplify (6*sqrt(121)*-2*-3)/((-1*sqrt(1100) - sqrt(11) - sqrt(11)) + (sqrt(88)*-1)/sqrt(8)).
-36*sqrt(11)/13
Simplify -3*((sqrt(637) + -2*sqrt(637) - sqrt(637))**2 + sqrt(637)) + -3 + 3 + 1 + (sqrt(13)*1)**2 + sqrt(26)/sqrt(2) + 5.
-7625 - 20*sqrt(13)
Simplify ((sqrt(510)/(sqrt(10)*-4))/sqrt(3) - ((sqrt(2448) + (2 + sqrt(2448))**2)*6 - sqrt(2448))) + 2.
-14710 - 1393*sqrt(17)/4
Simplify -3*(sqrt(72)*1 + sqrt(72)) + 3*(1 + sqrt(2) + -5).
-33*sqrt(2) - 12
Simplify ((sqrt(704) + -1)*-6 - sqrt(704))**2 + -1*1*sqrt(176).
-676*sqrt(11) + 34532
Simplify ((-1*sqrt(288)*3)**2 - (sqrt(288) + (6*sqrt(288)*-5 - sqrt(288))))*-6.
-15552 - 2160*sqrt(2)
Simplify (6*(1 + sqrt(98) + 4))**2*-2 + -3.
-8859 - 5040*sqrt(2)
Simplify 4 + ((sqrt(63) - sqrt(1575))*-1)/(sqrt(9) + sqrt(90)/sqrt(490)).
4 + 7*sqrt(7)/2
Simplify (1 + (1 + sqrt(363) + sqrt(363) + -3)*4 + 1 + -2)**2.
-1408*sqrt(3) + 23296
Simplify -2 + (sqrt(330)/sqrt(6))/sqrt(5) + (sqrt(11) + sqrt(55)/sqrt(5)*-6 + sqrt(11))**2 + -2.
sqrt(11) + 172
Simplify 3*(4 + (sqrt(180) - (-1 + (sqrt(180)*1 + sqrt(180))**2)))*-5.
-90*sqrt(5) + 10725
Simplify -1 + -5*(1 + ((1*sqrt(847))**2 + -3)*4).
-16886
Simplify -3 + sqrt(756)/(-4*sqrt(12)) + (sqrt(4032)*4 - sqrt(4032))**2.
-3*sqrt(7)/4 + 36285
Simplify (sqrt(60) - sqrt(600)/(sqrt(10) - sqrt(40)))/(-5*sqrt(300)).
-2*sqrt(5)/25
Simplify ((sqrt(1584) + 1)*5)**2 + sqrt(1584)*2 + -2 + sqrt(1584) + (sqrt(1584) + sqrt(1584) + 1)*-5 + 1*((sqrt(1584)*1 - sqrt(1584)) + sqrt(1584))**2.
516*sqrt(11) + 41202
Simplify (sqrt(120)*2 + sqrt(120) - -4*(sqrt(90)/sqrt(3) - sqrt(30)))/(sqrt(490) + (sqrt(490) - -1*(sqrt(490) - sqrt(490)*-1)) + sqrt(490)).
6*sqrt(3)/35
Simplify (((2*sqrt(3645) + sqrt(3645))*4)/((2*sqrt(36) - sqrt(36))*6))**2.
405
Simplify (-4 + 5*(sqrt(76))**2)*6 + ((sqrt(57) - sqrt(627)/(sqrt(22)/sqrt(2))) + sqrt(57))/sqrt(108).
sqrt(19)/6 + 2256
Simplify (-6*(sqrt(637) + -2 + -3 + sqrt(637) + sqrt(637))*-2)**2.
-30240*sqrt(13) + 829152
Simplify ((1*sqrt(605))**2 + 1 - (4*-1*sqrt(5) + sqrt(20)*-5))*-1.
-606 - 14*sqrt(5)
Simplify -2*(-1 + (-2*sqrt(5) + 4)**2 - sqrt(50)/(-2*sqrt(1440))).
-70 + 383*sqrt(5)/12
Simplify (2 + ((2 + sqrt(125) - sqrt(125))*4 + sqrt(125) + 0)*6)**2 + 2.
3000*sqrt(5) + 7002
Simplify (-3*-4*((sqrt(245) + -2)*-6 + -1))**2.
-133056*sqrt(5) + 1287504
Simplify 4 + ((sqrt(78) + (sqrt(78)*1 - sqrt(78))*-3 - sqrt(78)) + -5*(1*sqrt(78) - sqrt(78)))/(sqrt(216)*2*-6).
4
Simplify -6*((sqrt(171) - -1*(0 + sqrt(171)))**2 - 1*sqrt(171)*-4 - (1*sqrt(171) + 0 - (sqrt(171) - ((sqrt(171) + 0 - sqrt(171))**2 + 3)))).
-4086 - 72*sqrt(19)
Simplify (1*(sqrt(1296) + -3*sqrt(1296)) + sqrt(1296))/(sqrt(1200)*3*5 + sqrt(1200) + sqrt(1200)).
-3*sqrt(3)/85
Simplify (0 + -4*(-1*sqrt(112) + -2*sqrt(42)/sqrt(6)) + -4)**2.
-192*sqrt(7) + 4048
Simplify (2*((-4*(sqrt(85) - sqrt(85)*-1))/sqrt(5) + 0))**2.
4352
Simplify ((3*sqrt(350))/sqrt(2) - (2 + sqrt(7)*-1*-3))**2*-2.
-2024 + 96*sqrt(7)
Simplify 2 + -2*(3 + (sqrt(1377) + 1)**2).
-2760 - 36*sqrt(17)
Simplify (-2 + sqrt(25)/sqrt(5) + (sqrt(50)/sqrt(2))/sqrt(5) + 5 + sqrt(10)/((-2*sqrt(18))/sqrt(9)))**2.
9*sqrt(5) + 81/4
Simplify (-2*(sqrt(1008) + (-1 + sqrt(1008))*3 - (-1 + (-1*sqrt(343) - sqrt(343)))))**2.
-992*sqrt(7) + 107648
Simplify 2 + (-1*sqrt(110)*4 + 2*(sqrt(110) + sqrt(110) + sqrt(110) + -1*sqrt(110)))/(-4*1*sqrt(490)).
2
Simplify (sqrt(972)*-5)/((sqrt(32)/sqrt(4))/sqrt(2))*2.
-90*sqrt(3)
Simplify ((sqrt(2057)*-3*3 - sqrt(2057))*-6)**2 + 1.
7405201
Simplify (-6*((sqrt(99) + -1)*-5 + -5))**2.
89100
Simplify (sqrt(17)*2*-2*3)**2 - (sqrt(425) + sqrt(425)*-2*6 - sqrt(425))**2.
-58752
Simplify (0 + (4*sqrt(76) - sqrt(1216)*-2)*3)**2.
98496
Simplify (sqrt(360)/(sqrt(24)/sqrt(3)) + -1 + ((-1*sqrt(135))/sqrt(9))/(sqrt(18)/(sqrt(24)/sqrt(4) + sqrt(6))))**2.
-2*sqrt(5) + 6
Simplify -1 + (3 + ((sqrt(72) - (sqrt(72) - sqrt(72)*1))*-3 - (sqrt(72)*2 + -5)))**2.
-480*sqrt(2) + 1863
Simplify (-5 + 6*(5 + (1 + sqrt(18) - sqrt(2))))*-3.
-93 - 36*sqrt(2)
Simplify ((sqrt(343)*1 + 0)*-4)**2 + 2*(1*(sqrt(7) + 0) + sqrt(7))**2*6.
5824
Simplify 4 + (1 + sqrt(500)*-1 + (-3*(0 + sqrt(500)) - sqrt(500)) - (3 + 1*sqrt(500)*3))**2.
320*sqrt(5) + 32008
Simplify (sqrt(162) + -1*(-2*sqrt(162) - sqrt(162)) + sqrt(162) - sqrt(162))/sqrt(324).
2*sqrt(2)
Simplify -2 + 5 + -5*-3*(sqrt(242) + 0)**2.
3633
Simplify ((sqrt(605) + -2)**2 - ((sqrt(5) + -2 - sqrt(5))**2 + 5)) + -2*4*sqrt(405).
-116*sqrt(5) + 600
Simplify (5 + -6*sqrt(99)*-1 - (sqrt(110)/(sqrt(40)/sqrt(4)) - (sqrt(176) + 2)))**2.
294*sqrt(11) + 4900
Simplify (-5 + -5 + (sqrt(80) + (sqrt(80) + 3 + sqrt(80) - sqrt(80)))*-5 + sqrt(80) + (sqrt(80) - 5*-1*sqrt(80)) + sqrt(80))**2.
400*sqrt(5) + 945
Simplify (sqrt(65) + 1*sqrt(65)*-4)/(3*sqrt(5)*2 + sqrt(5)) + (((sqrt(52)/sqrt(4) + sqrt(13))*3 - (-5 + (sqrt(13) - sqrt(52)))) + 3)**2.
781*sqrt(13)/7 + 701
Simplify ((sqrt(1539) + -2)**2 + 2 + 5*(sqrt(1539) + -2)**2)*-3.
-27780 + 648*sqrt(19)
Simplify -5 + ((sqrt(126)/sqrt(3))/sqrt(2))/(sqrt(77)/(sqrt(88)/sqrt(8))).
-5 + sqrt(3)
Simplify ((1*sqrt(160)*-6)/sqrt(10))/(sqrt(80)/sqrt(160) - (sqrt(8) + sqrt(128)*-1)).
-24*sqrt(2)/13
Simplify (2*(-5 + sqrt(13)*-1 + -6*(sqrt(13)*-1 + sqrt(13)))*1)**2.
40*sqrt(13) + 152
Simplify (-1*(sqrt(11) + 3))**2*1 + -1 + sqrt(275) + 2.
21 + 11*sqrt(11)
Simplify sqrt(33)/(sqrt(44)/sqrt(4))*1 - (3 + (2 + 2 + sqrt(3))**2).
-22 - 7*sqrt(3)
Simplify (-5 + (((sqrt(405) - (sqrt(405) + 1)) + sqrt(405))*-3 + -4 - (2 + (sqrt(405) + -6*(1 + sqrt(405)) - sqrt(405)))))**2.
-108*sqrt(5) + 3649
Simplify (sqrt(1584) + -1 + sqrt(22)/sqrt(2) + 3 - (sqrt(11) + (sqrt(33)/sqrt(3))**2 + 3 - (sqrt(1331)*-1 - sqrt(1331))**2))*-6.
-31872 - 72*sqrt(11)
Simplify (3*(1 + 2 + sqrt(432) + -4) + -1)**2.
-288*sqrt(3) + 3904
Simplify (-4 + 2*sqrt(1088) + sqrt(1088) + sqrt(1700) + (sqrt(1700) - ((5 + (0 + sqrt(1700))**2 - sqrt(1700) - sqrt(1700)) + sqrt(1700))))*4.
-6836 + 216*sqrt(17)
Simplify (5 + 4 + -2 + 5 + sqrt(88)/(sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
887000000
What is -0.0048802485 rounded to four decimal places?
-0.0049
What is -48.33644643 rounded to the nearest 10?
-50
What is -4680354.447 rounded to the nearest 1000000?
-5000000
Round 34306092.55 to the nearest 1000.
34306000
Round 0.1257429625 to five decimal places.
0.12574
Round 27077686.3 to the nearest 1000.
27078000
Round -0.679186517 to four decimal places.
-0.6792
What is 24524.535 rounded to the nearest 100?
24500
What is 3182687.1 rounded to the nearest 10000?
3180000
Round -0.00014781607 to 5 dps.
-0.00015
Round -0.0107092009 to 5 dps.
-0.01071
Round -0.00000181324479 to 7 dps.
-0.0000018
What is 20155198.9 rounded to the nearest 10000?
20160000
Round 8619360.6 to the nearest ten thousand.
8620000
What is 0.0000044183806 rounded to seven decimal places?
0.0000044
Round -686230371 to the nearest 1000000.
-686000000
Round -0.317285533 to 4 dps.
-0.3173
Round -0.000384658824 to 7 decimal places.
-0.0003847
What is -6971991.2 rounded to the nearest ten thousand?
-6970000
What is -68.6403855 rounded to three decimal places?
-68.64
Round 8591710.81 to the nearest one hundred.
8591700
What is 774059.053 rounded to the nearest one thousand?
774000
Round -0.0011592867134 to five decimal places.
-0.00116
What is -135445.529 rounded to the nearest ten?
-135450
Round 12126.866 to the nearest one hundred.
12100
What is 2460788.8 rounded to the nearest one hundred thousand?
2500000
Round -1825.48506 to the nearest one hundred.
-1800
What is 69.042003 rounded to one decimal place?
69
What is 0.0000209079482 rounded to seven dps?
0.0000209
What is 0.004361218 rounded to five dps?
0.00436
Round 3884.8047 to the nearest 10.
3880
What is -69286.10505 rounded to the nearest ten?
-69290
Round 0.12518372274 to five decimal places.
0.12518
Round 0.036011807 to 3 dps.
0.036
Round -30.381793 to 0 decimal places.
-30
Round 1.102864852 to one decimal place.
1.1
Round 7149.21804 to the nearest one hundred.
7100
Round 0.00019716234 to six decimal places.
0.000197
What is 101519.3441 rounded to the nearest 10000?
100000
What is 0.00005250674 rounded to five decimal places?
0.00005
What is 360.5341837 rounded to one dp?
360.5
What is -54.6341034 rounded to the nearest ten?
-50
What is 8680852.006 rounded to the nearest 10000?
8680000
What is 0.000216692 rounded to five dps?
0.00022
What is 9.88880202 rounded to two dps?
9.89
What is 51.591315 rounded to the nearest integer?
52
What is 5.04214264 rounded to one decimal place?
5
What is -16923.90586 rounded to the nearest 100?
-16900
What is -0.2744675648 rounded to 5 decimal places?
-0.27447
Round -1313.716751 to zero decimal places.
-1314
What is -37.8198378 rounded to 3 dps?
-37.82
What is 125.7492774 rounded to the nearest integer?
126
What is -0.00063286372 rounded to 7 decimal places?
-0.0006329
Round 297648556.6 to the nearest ten thousand.
297650000
Round 0.00005900276783 to 7 decimal places.
0.000059
Round -1665486.56 to the nearest 100.
-1665500
What is -283.852617 rounded to 2 decimal places?
-283.85
Round 2.20401523 to three decimal places.
2.204
Round 0.1123283638 to 5 decimal places.
0.11233
What is 4.688172583 rounded to zero dps?
5
What is 0.253739007 rounded to 2 dps?
0.25
What is -2826.21641 rounded to the nearest integer?
-2826
What is -12149609.05 rounded to the nearest one thousand?
-12150000
What is -38447.132 rounded to the nearest ten?
-38450
Round 16.849226 to the nearest integer.
17
Round 4.64269645 to three dps.
4.643
What is 10526525.26 rounded to the nearest one million?
11000000
What is -5.22409462 rounded to three decimal places?
-5.224
What is 7.320234841 rounded to zero dps?
7
Round -0.000716961466 to seven decimal places.
-0.000717
What is -211513.3085 rounded to the nearest ten thousand?
-210000
Round -17.91451119 to 2 dps.
-17.91
Round 4622.133208 to one decimal place.
4622.1
What is 0.988158713 rounded to 1 decimal place?
1
What is 46296.02222 rounded to the nearest 1000?
46000
Round 57158713 to the nearest 10000.
57160000
What is -29534.0432 rounded to the nearest 100?
-29500
Round -0.0000022334209 to seven decimal places.
-0.0000022
Round -33923077.8 to the nearest one hundred thousand.
-33900000
What is 0.0066135353 rounded to four dps?
0.0066
What is -9593.0047 rounded to the nearest one thousand?
-10000
Round -948247746 to the nearest 10000.
-948250000
Round -407989.5 to the nearest one thousand.
-408000
What is 872369.2 rounded to the nearest 100000?
900000
What is -380775.97 rounded to the nearest one hundred?
-380800
What is -2625.17987 rounded to one dp?
-2625.2
What is 37566716.4 rounded to the nearest 1000?
37567000
Round 241.68587 to the nearest 10.
240
What is 841.95285 rounded to one dp?
842
Round 2.4749744 to one decimal place.
2.5
Round 0.0079502872 to three dps.
0.008
What is -1768840.833 rounded to the nearest 1000000?
-2000000
What is -0.0003897406992 rounded to 6 dps?
-0.00039
Round 0.0000949150689 to 5 dps.
0.00009
What is 0.302307 rounded to four decimal places?
0.3023
What is -7487657.7 rounded to the nearest 1000?
-7488000
Round 197.146142 to the nearest ten.
200
What is -0.000228663238 rounded to five dps?
-0.00023
Round 1763.5987 to one decimal place.
1763.6
What is 0.00074578581 rounded to 5 decimal places?
0.00075
Round -7099968.67 to the nearest 10000.
-7100000
What is 3908421.352 rounded to the nearest 100000?
3900000
What is -5.409193503 rounded to 1 dp?
-5.4
Round 6462.81294 to the nearest 100.
6500
What is -0.0059361104 rounded to three dps?
-0.006
What is -4096903700 rounded to the nearest 1000000?
-4097000000
What is -2.65301686 rounded to two dps?
-2.65
Round 14194294.7 to the nearest ten thousand.
14190000
Round 0.076175769 to three decimal places.
0.076
Round 0.000170252832 to six dps.
0.00017
Round 19770465.52 to the nearest one hundred thousand.
19800000
What is -999364324 rounded to the nearest 1000000?
-999000000
Round 0.009334018 to 3 decimal places.
0.009
Round -0.0000024735271 to six dps.
-0.000002
What is -7.6824603 rounded to 3 dps?
-7.682
What is -0.000003458143072 rounded to 7 dps?
-0.0000035
What is -2099982.08 rounded to the nearest one thousand?
-2100000
Round 0.286265093 to three dps.
0.286
Round -544.228623 to two dps.
-544.23
Round 3904.7976 to the nearest one thousand.
4000
Round -0.000011208935 to 6 dps.
-0.000011
What is -0.0008709250888 rounded to 5 dps?
-0.00087
Round 3258.641397 to the nearest one hundred.
3300
What is 130959.404 rounded to the nearest ten thousand?
130000
What is 1.96429655 rounded to 1 decimal place?
2
Round 0.00000050563431 to seven decimal places.
0.0000005
Round -0.00566883172 to five dps.
-0.00567
What is -632.605705 rounded to the nearest 10?
-630
Round -33781261.3 to the nearest 100000.
-33800000
What is -105811003 rounded to the nearest 100000?
-105800000
What is -0.01569102658 rounded to 4 dps?
-0.0157
Round 0.0654037078 to 6 decimal places.
0.065404
What is 622267.528 rounded to the nearest one hundred thousand?
600000
Round 3180929.51 to the nearest 1000.
3181000
Round 17516686.18 to the nearest one million.
18000000
What is -5008391.14 rounded to the nearest one thousand?
-5008000
What is 0.000083985836 rounded to five dps?
0.00008
Round -118.016401 to 0 dps.
-118
What is -78422657.4 rounded to the nearest one hundred thousand?
-78400000
What is -365.376458 rounded to 1 dp?
-365.4
Round 304820614 to the nearest one million.
305000000
Round 92335.84386 to the nearest integer.
92336
Round 2990586.4 to the nearest one hundred thousand.
3000000
What is -1.92133862 rounded to one dp?
-1.9
What is -3265819.201 rounded to the nearest 1000?
-3266000
Round -2006437.108 to the nearest one hundred.
-2006400
What is -0.0106941124 rounded to 6 dps?
-0.010694
Round 38915647 to the nearest 1000000.
39000000
What is 0.0258760679 rounded to 4 decimal places?
0.0259
What is 0.23893557004 rounded to 6 dps?
0.238936
Round 1169694 to the nearest one thousand.
1170000
What is -0.0002306585489 rounded to six decimal places?
-0.000231
Round -1714235.4681 to the nearest 100.
-1714200
What is -4848.82313 rounded to the nearest integer?
-4849
Round -85383.212 to the nearest 1000.
-85000
Round -231.647894 to the nearest 10.
-230
Round 18965465.6 to the nearest one million.
19000000
Round 0.00351293689 to
|
{
"pile_set_name": "DM Mathematics"
}
|
of -8505*q**4 - 55660*q?
-102060*q**2
Find the second derivative of 3480*y**2 + 193262*y.
6960
What is the second derivative of 1490*a**2*y**2 + 5*a**2*y - 2*a**2 - 3*a*y + 11290*a + 2*y**2 - 1 wrt a?
2980*y**2 + 10*y - 4
Differentiate -64*f**4 + 143*f*l**2 + 44*l**2 - 71*l wrt f.
-256*f**3 + 143*l**2
What is the second derivative of 429*x**4 - 1012*x**2 + 158*x + 170 wrt x?
5148*x**2 - 2024
What is the first derivative of 3*i*u - 133212*i + 372746*u wrt i?
3*u - 133212
Find the third derivative of -439915*h**5 + h**4 - 171490*h**2.
-26394900*h**2 + 24*h
Find the third derivative of -1837632*u**3 + 8909*u**2 + u + 45 wrt u.
-11025792
Find the third derivative of 2*k**6 + 8*k**4 + 121048*k**3 - 52539*k**2 + k + 2 wrt k.
240*k**3 + 192*k + 726288
What is the first derivative of -25295*a*g - 62*a + 3 wrt g?
-25295*a
What is the third derivative of 9*q**6 + 885*q**4 - 2*q**2 - 20*q - 360?
1080*q**3 + 21240*q
Find the third derivative of 746*p**5 + 12*p**4 + 2*p**3 - 48421*p**2 wrt p.
44760*p**2 + 288*p + 12
What is the third derivative of 93419*d**3*q**3 + 106*d**3 + d**2*q**2 + 20*d**2*q wrt q?
560514*d**3
Find the first derivative of 902*c**4 - 80*c + 30392.
3608*c**3 - 80
What is the third derivative of 96901*g**5 - 3919*g**2 + g - 4 wrt g?
5814060*g**2
What is the third derivative of -1476436*h**3 - 60*h**2 - 14341*h wrt h?
-8858616
What is the second derivative of 6*o*w**4 - 152*o*w**3 + 4*o*w**2 + 110*o*w + 18*o - 4*w + 2 wrt w?
72*o*w**2 - 912*o*w + 8*o
Find the second derivative of -24*d**2*h**2 - 15*d**2 - d*h + 4*d + 9365*h**2 + 2*h + 202 wrt h.
-48*d**2 + 18730
What is the derivative of 190*i**3 - 1075*i - 573633?
570*i**2 - 1075
What is the second derivative of 12*a**4 + 1718*a**3 + 46847*a?
144*a**2 + 10308*a
What is the derivative of 5161*w**2 + 4*w - 195265?
10322*w + 4
What is the derivative of 2*m**2*u**2 - 5*m**2 - 5*m*u - 8*m - 19*u**2 - 6*u - 6 wrt u?
4*m**2*u - 5*m - 38*u - 6
What is the third derivative of -15682*r**3 - 56783*r**2 wrt r?
-94092
Find the second derivative of k**2*l**3*r**2 - 2*k**2 - 146*k*l**3 + 70*k*l**2*r - 18066*l**3*r**3 wrt r.
2*k**2*l**3 - 108396*l**3*r
What is the derivative of 62*o**2*t**2 + 4867*o**2 - 55*o*t**2 + t wrt t?
124*o**2*t - 110*o*t + 1
Differentiate 269502*l + 504607 wrt l.
269502
What is the third derivative of 898*h**2*w**3 - 97*h**2 + 2*h*w**6 - 6*h*w**3 - h*w**2 - 117*w**2 wrt w?
5388*h**2 + 240*h*w**3 - 36*h
Find the third derivative of -20*h**6 - 8*h**4 - 110*h**3 + 3083*h**2 + 497 wrt h.
-2400*h**3 - 192*h - 660
Differentiate 607*a*s**2*w**3 - 220*a*w**3 - 8001*s**2*w**3 - 2*s**2*w + 2*s**2 - 2*s*w**3 + s*w with respect to a.
607*s**2*w**3 - 220*w**3
Find the second derivative of 3*p*y*z**3 + 2*p*y*z - 3*p*y - 4*p*z - 2*y*z**2 - 18*y*z + 636*z**5 + 1 wrt z.
18*p*y*z - 4*y + 12720*z**3
What is the derivative of 8474*k**2*u - 2*k**2 - 2*k*u**2 + 122783*u**2 wrt k?
16948*k*u - 4*k - 2*u**2
What is the second derivative of -24*p**2*x**2*z**3 + 127*p**2*x**2*z**2 - 499*p**2*x*z**2 + 147*p**2*z**3 wrt x?
-48*p**2*z**3 + 254*p**2*z**2
What is the third derivative of -t**5 + 5*t**4 + 151*t**3 + 5*t**2 - 1014*t - 3?
-60*t**2 + 120*t + 906
Find the third derivative of 801*b**5 - 35*b**4 - 2*b**3 - 78540*b**2 + 4*b.
48060*b**2 - 840*b - 12
Find the third derivative of 5*s**4 + 133865*s**3 + 549*s**2 + 228*s.
120*s + 803190
Find the third derivative of -387*d*n**3*r + 2*d*n**2*r**2 + 3514*d*n*r**3 - 2*d*r**2 + 2*n**3*r**3 - 2*n wrt r.
21084*d*n + 12*n**3
Find the second derivative of -4*b**3*g**3 + 2*b**3 - 36298*b**2*g + 134*b*g**3 + b*g + 808*b wrt b.
-24*b*g**3 + 12*b - 72596*g
Find the second derivative of -f**3*n*r + 55*f**3*n + 28*f**2 - 3*f*n + 5*f + 5*n*r + 8*r + 2 wrt f.
-6*f*n*r + 330*f*n + 56
Differentiate 498053*n**3 - 2*n**2 - 99493.
1494159*n**2 - 4*n
Find the first derivative of 22561*r**3 - r - 170056 wrt r.
67683*r**2 - 1
What is the second derivative of -5*g**2*o**3*s**2 - 1294*g**2*o**3 - 4*g*o**2*s - 3*o**3*s + 9*o**2*s**2 + 1 wrt g?
-10*o**3*s**2 - 2588*o**3
Differentiate -103489*l*q**2*r - 2005*l*q**2 + l*q*r + 8*l*q - 2*l*r + q**2 - 3 wrt r.
-103489*l*q**2 + l*q - 2*l
What is the derivative of -114440*d**3 + 181342?
-343320*d**2
What is the first derivative of 40931*n**2 - 103004 wrt n?
81862*n
What is the first derivative of -116541*f*w**2 + 2*w**2 - 625*w - 33 wrt f?
-116541*w**2
What is the second derivative of 300605*k**2*o**3 - 86*k*o**3 - 251*k + 3*o**3 wrt k?
601210*o**3
Find the second derivative of -c**4 + 572*c**3 + 6*c**2 - 48719*c wrt c.
-12*c**2 + 3432*c + 12
What is the second derivative of -585231*y**2 - 799869*y wrt y?
-1170462
Find the second derivative of 17*j**3*w**3 + 21*j**3*w**2 + j**2*w + 20504*j*w**3 - 2*j wrt j.
102*j*w**3 + 126*j*w**2 + 2*w
Differentiate -7498*j - 24006.
-7498
Find the second derivative of -1236*h**4 - 225*h**3 - 48394*h wrt h.
-14832*h**2 - 1350*h
What is the second derivative of 40315*f**2*m**2 - f**2 + 4*m + 478 wrt m?
80630*f**2
Differentiate -168197*r**2*t + 222*r**2*u - 161*t*u with respect to u.
222*r**2 - 161*t
Find the second derivative of 57*k**4*o - 37*k**4 + 3925*k*o + k wrt k.
684*k**2*o - 444*k**2
What is the first derivative of -3*n**2 - 9915*n + 77836 wrt n?
-6*n - 9915
Find the second derivative of -170885*c**2*i**2 - c*i - 3554*i**2 + 4*i wrt c.
-341770*i**2
What is the second derivative of -83*f*j**3*n - f*j**3 + 957*f*j**2*n**2 - 12*f*j - f*n + 24*j**3*n**2 + 5*j**2 wrt n?
1914*f*j**2 + 48*j**3
Find the second derivative of 273936*l**2 - 293056*l + 2.
547872
Find the second derivative of 3678*t**3*v + 2*t**2*v**2 + 324*t*v**2 - 2*t - v - 3 wrt t.
22068*t*v + 4*v**2
Find the first derivative of -211851*p**2 + 56826.
-423702*p
What is the second derivative of 25617*w**2 - 25469*w?
51234
What is the second derivative of -1567828*a**2 + 12569*a wrt a?
-3135656
What is the derivative of -2519*i**4 + i**3 - 3*i + 43741?
-10076*i**3 + 3*i**2 - 3
What is the second derivative of 2*k**5 + 14*k**4 - 134*k**2 + 29*k + 27 wrt k?
40*k**3 + 168*k**2 - 268
Differentiate 2*f**3*r + 2578203*f - 3*r - 687673 with respect to f.
6*f**2*r + 2578203
Differentiate -21*b**3 - 295*b**2 + 3*b + 283421 wrt b.
-63*b**2 - 590*b + 3
What is the second derivative of 2074359*w**3 + 373586*w?
12446154*w
Find the first derivative of -364388*a**2*n - 2152463*a**2 - a*n wrt n.
-364388*a**2 - a
Find the third derivative of 19*s**4 - 196*s**3 + 2*s**2 + 38585.
456*s - 1176
What is the third derivative of -4*d**4 + 206*d**3*o*v + 66*d**3*v - 3*d**2*o - 2*d**2*v - 86*d - 2*v wrt d?
-96*d + 1236*o*v + 396*v
Find the second derivative of -813128*j*p**2 + j*p + 6*p + 20064 wrt p.
-1626256*j
Find the third derivative of 42766*g**2*x**4 - 3*g**2*x**2 - 2*g*x**5 + 51568 wrt x.
1026384*g**2*x - 120*g*x**2
What is the second derivative of -3*r**5 - r**4 - 24066*r**3 + 32*r - 8973 wrt r?
-60*r**3 - 12*r**2 - 144396*r
Find the second derivative of -39*a**3 + 2716*a**2 - 5423*a - 20 wrt a.
-234*a + 5432
Find the third derivative of -72101*s**4 - 59930*s**2.
-1730424*s
What is the second derivative of 6*t**4*z - 99281*t**2*z**3 - 4745992*t*z**3 wrt t?
72*t**2*z - 198562*z**3
What is the third derivative of 1718*b**3*f - 16*b**3 + 58*b**2*f - 1263*b wrt b?
10308*f - 96
Find the third derivative of 166580*m**4 + 348388*m**2.
3997920*m
What is the derivative of 24307*s*z - s - 176047*z wrt s?
24307*z - 1
Find the third derivative of 18*p**3*s*z**2 - 400*p**3*s*z - 16*p**2*s*z**2 + p**2*s*z + p**2*s - 3*p*s*z + 2*z**2 wrt p.
108*s*z**2 - 2400*s*z
What is the third derivative of -h**6*y - 453079*h**4*y**2 + 9*h**2*y**2 - h**2 + 10*h*y**2 + 62*h*y wrt h?
-120*h**3*y - 10873896*h*y**2
Find the second derivative of 49677*k**3 - 1923068*k.
298062*k
Find the third derivative of 346586*u**3 - 136723*u**2.
2079516
Find the second derivative of -2825573*c**2 + 3753469*c wrt c.
-5651146
What is the derivative of n**4 + 9*n**3 - 2527*n - 309539 wrt n?
4*n**3 + 27*n**2 - 2527
What is the second derivative of 2*u**5 + 94*u**2*y + 570*u**2 + 5593*u*y - 4*u - 2*y + 3 wrt u?
40*u**3 + 188*y + 1140
Find the second derivative of -3*j**4 - 408*j**3 + 3*j**2 - 2*j - 1311.
-36*j**2 - 2448*j + 6
What is the second derivative of 2*i**2*o*p**2 + 3*i**2*o - i**2 + 4*i*o*p**2 - 4*i*o
|
{
"pile_set_name": "DM Mathematics"
}
|
(228) + (sqrt(228) - (sqrt(228) - ((sqrt(228) + (sqrt(228) - sqrt(228)*1) - sqrt(228)) + sqrt(228)))))*-2)/sqrt(12).
-4*sqrt(19)
Simplify (5 + -2*sqrt(1008))**2 - sqrt(1008).
-252*sqrt(7) + 4057
Simplify -2 + 2*sqrt(500).
-2 + 20*sqrt(5)
Simplify sqrt(65)/(5*sqrt(10)/sqrt(2)).
sqrt(13)/5
Simplify (sqrt(42) - sqrt(252)/(sqrt(36)/sqrt(6)))/(3*sqrt(6)*2).
0
Simplify (sqrt(156) + sqrt(156) + 4*(sqrt(156) + sqrt(156)*2))/(-1*sqrt(108))*-1.
14*sqrt(13)/3
Simplify ((-2 + sqrt(425)*-1 + sqrt(425) - sqrt(425)) + sqrt(425))**2.
4
Simplify (((sqrt(198)*-2)/sqrt(9))/(sqrt(33)/sqrt(3)*-5 - sqrt(11)))**2.
2/9
Simplify -2*sqrt(2299) + -3.
-22*sqrt(19) - 3
Simplify ((-1 + sqrt(304))*3 - (sqrt(304) - (sqrt(304) + 1)*4))**2.
48*sqrt(19) + 10945
Simplify (3 + (sqrt(325) + sqrt(325) + 0 - sqrt(52)/sqrt(4)*-6))**2.
96*sqrt(13) + 3337
Simplify ((-2*sqrt(209))/sqrt(11))**2 - (1 + sqrt(1539)).
-9*sqrt(19) + 75
Simplify (sqrt(24) - sqrt(1176)*2)/sqrt(8).
-13*sqrt(3)
Simplify sqrt(350)/sqrt(7) + (1 + sqrt(8) + sqrt(2))**2.
11*sqrt(2) + 19
Simplify sqrt(78)/(sqrt(48)/(sqrt(8)*-1)).
-sqrt(13)
Simplify (3*sqrt(1400) + sqrt(1400))/(sqrt(7) - (sqrt(343) + sqrt(343) + 4*sqrt(343) + sqrt(343) + sqrt(343))).
-8*sqrt(2)/11
Simplify -5 + sqrt(85)/sqrt(5) - (sqrt(1088) + -2 + sqrt(1088)).
-15*sqrt(17) - 3
Simplify -1 + 1 + sqrt(3) - (sqrt(12) + sqrt(24)/sqrt(2))**2.
-48 + sqrt(3)
Simplify (-3 + sqrt(6)/(sqrt(4)/sqrt(2)))*5.
-15 + 5*sqrt(3)
Simplify (5*(-4*sqrt(18) + sqrt(18) + sqrt(18)) + sqrt(18))/sqrt(9).
-9*sqrt(2)
Simplify -6*(sqrt(49)*-2)/sqrt(7).
12*sqrt(7)
Simplify (-2 + -1 + sqrt(245) + sqrt(245) - -1*(sqrt(245) + (sqrt(245) - (0 + sqrt(245))) + sqrt(245)))**2 + -1.
-168*sqrt(5) + 3928
Simplify ((4 + (sqrt(405) - (sqrt(405) + 2)))**2 - sqrt(405)) + (2 + sqrt(405) - sqrt(405)) + -4.
-9*sqrt(5) + 2
Simplify -3*(sqrt(10)/(-2*sqrt(5)) + (1 + sqrt(72))**2).
-219 - 69*sqrt(2)/2
Simplify (sqrt(38) + 3*sqrt(1862))/sqrt(2) + 3.
3 + 22*sqrt(19)
Simplify (sqrt(95) - -5*sqrt(95)*-1)/(sqrt(50)/(2*sqrt(10))).
-8*sqrt(19)
Simplify (sqrt(192)*1*6 - sqrt(192))**2 - sqrt(192).
-8*sqrt(3) + 4800
Simplify -4*(sqrt(22)/(sqrt(44) + sqrt(11)))**2*2.
-16/9
Simplify (sqrt(7920) + sqrt(7920)*-2)/(sqrt(99)*-4).
sqrt(5)
Simplify (5*sqrt(98)*2)**2.
9800
Simplify sqrt(567) - (0 + (sqrt(567) + 2)**2 + sqrt(567)) - (-1 + (sqrt(567) - (sqrt(567) + -2)**2)).
-81*sqrt(7) + 1
Simplify (sqrt(208)*-1 + -3)**2.
24*sqrt(13) + 217
Simplify (sqrt(7)*1 + -1)*6.
-6 + 6*sqrt(7)
Simplify (sqrt(2299)*3 - sqrt(2299)) + -5.
-5 + 22*sqrt(19)
Simplify -5*(sqrt(44) + 0)*5*-6.
300*sqrt(11)
Simplify (2*(-1*-2*sqrt(405) + sqrt(405))*5)**2.
364500
Simplify -5 + ((sqrt(11) - (sqrt(11) + 0 + -2)) + sqrt(1331) + 0)**2*6.
264*sqrt(11) + 8005
Simplify -2*sqrt(50) - (sqrt(2) + sqrt(2) + 0 + -4).
-12*sqrt(2) + 4
Simplify (sqrt(2) - (sqrt(128) + 1)**2 - ((sqrt(2) + 1)*6)**2) + (-4*2*sqrt(2) - (-5 + (sqrt(2) - (sqrt(2) + -1 - sqrt(2)))**2)).
-235 - 97*sqrt(2)
Simplify (sqrt(475) + 4 - (sqrt(19)*3 + 1))**2 + 2.
12*sqrt(19) + 87
Simplify ((sqrt(26) - sqrt(104)/sqrt(4))*5)/(sqrt(2)*-2*-1).
0
Simplify (sqrt(98) - sqrt(98)*-1*5) + sqrt(98) + 3.
3 + 49*sqrt(2)
Simplify sqrt(63)/(sqrt(9) - (sqrt(9) + sqrt(144)))*5.
-5*sqrt(7)/4
Simplify (sqrt(44))**2*-6 + 0 + sqrt(11) + 2.
-262 + sqrt(11)
Simplify ((sqrt(143)*2)/sqrt(11))**2 + (sqrt(13) - (4 + 1*sqrt(13))**2).
-7*sqrt(13) + 23
Simplify (sqrt(88)/(sqrt(22)/(sqrt(11)*1)))**2.
44
Simplify sqrt(40)/(-5*sqrt(40)/sqrt(5)).
-sqrt(5)/5
Simplify 2*(-5 + sqrt(5) + ((sqrt(5) + 0)*-1)**2).
2*sqrt(5)
Simplify ((sqrt(128) + sqrt(128)*1 + sqrt(128) - sqrt(128)) + 3)**2.
96*sqrt(2) + 521
Simplify sqrt(180) + -2*sqrt(180) + sqrt(180) + -2 + sqrt(10)/sqrt(2).
-2 + sqrt(5)
Simplify ((sqrt(136) - (sqrt(136)*2 + sqrt(136)))*-6 + sqrt(136))/sqrt(8).
13*sqrt(17)
Simplify ((sqrt(30)/sqrt(3) - sqrt(10))/sqrt(2) + -4)*4.
-16
Simplify (sqrt(18)/sqrt(6) + -2)**2 + -4 + (sqrt(3) - sqrt(3)*-3) + 3.
6
Simplify -5*((-2*sqrt(17) + sqrt(17))*5 + sqrt(17)).
20*sqrt(17)
Simplify (sqrt(200) + 0 + 1)**2 + 2*(sqrt(200) - (sqrt(200) + 1 - sqrt(200))).
40*sqrt(2) + 199
Simplify ((sqrt(5) - sqrt(10)/sqrt(2)) + 4)**2 + -3.
13
Simplify (-3*sqrt(21)/sqrt(7))**2 + -4.
23
Simplify (sqrt(8208)*2)/((sqrt(3) - sqrt(3)*2)*2).
-12*sqrt(19)
Simplify (sqrt(6)/(sqrt(3)*-2) + sqrt(2))**2 + 1*(sqrt(2)*-2)**2 + -5.
7/2
Simplify ((sqrt(320) - (sqrt(320)*-3 + 1)) + -4*sqrt(320)*-1)**2.
-128*sqrt(5) + 20481
Simplify ((-2*sqrt(143) - sqrt(143))*2)/((sqrt(11) + sqrt(22)/sqrt(2))*1).
-3*sqrt(13)
Simplify (((sqrt(90) + -2*sqrt(90) - sqrt(90)) + sqrt(90))/sqrt(3))/((sqrt(90)*1)/sqrt(9)).
-sqrt(3)
Simplify (sqrt(11) + -1*sqrt(11) + -3 - (sqrt(44)/(sqrt(8)/sqrt(2)) + sqrt(11)))**2*-3.
-159 - 36*sqrt(11)
Simplify 2 + -2 + (sqrt(5) - (sqrt(5) - (sqrt(5) + 1))**2)*-4.
-4*sqrt(5) + 4
Simplify sqrt(27)/(5*2*sqrt(9) + sqrt(9)).
sqrt(3)/11
Simplify sqrt(14)/(sqrt(50)*-6).
-sqrt(7)/30
Simplify -2 + sqrt(1331) + 3*sqrt(1331)*-6 + sqrt(1331).
-176*sqrt(11) - 2
Simplify sqrt(15)/sqrt(432).
sqrt(5)/12
Simplify -5 + (-2*sqrt(9)*6)/(-3*-2*sqrt(3) + sqrt(3)).
-5 - 12*sqrt(3)/7
Simplify 5*(sqrt(162) - (2 + sqrt(162))) + 2.
-8
Simplify -5 + (2*(sqrt(5) + 0))**2 + (2*(sqrt(5) + sqrt(80)) - sqrt(5)).
15 + 9*sqrt(5)
Simplify 6*(0 + sqrt(5)) + 5 + sqrt(5) + -1 + sqrt(5).
4 + 8*sqrt(5)
Simplify 6*((sqrt(153) - (0 + sqrt(153)))**2 + sqrt(153) + sqrt(153))*3.
108*sqrt(17)
Simplify ((sqrt(720) + 1 + 3)**2 - sqrt(720)) + sqrt(720) + (5*(0 + sqrt(720)))**2.
96*sqrt(5) + 18736
Simplify (((3*sqrt(48))/sqrt(2))/sqrt(12))**2.
18
Simplify 5 + (-1*sqrt(132))/sqrt(12) + sqrt(11) + -2.
3
Simplify (sqrt(90)/sqrt(3)*-2)/(sqrt(40)*-1).
sqrt(3)
Simplify (-4*sqrt(768))/sqrt(6).
-32*sqrt(2)
Simplify 2*(sqrt(19) + (3*2*sqrt(19) + sqrt(19))**2 - -2*(sqrt(19) + sqrt(76)/sqrt(4))**2).
2*sqrt(19) + 2166
Simplify (-2*(1*sqrt(28) + sqrt(28)))/((sqrt(12) + sqrt(24)/sqrt(2) + sqrt(12))/sqrt(3)).
-4*sqrt(7)/3
Simplify (sqrt(44)/sqrt(4) + -1 + sqrt(11) + sqrt(275) + 1)**2.
539
Simplify sqrt(34)/(sqrt(18)*-5 + sqrt(2) + sqrt(2)).
-sqrt(17)/13
Simplify ((-5 + -2 + sqrt(3) - sqrt(3)) + -3*sqrt(75))**2.
210*sqrt(3) + 724
Simplify -1*sqrt(176) + sqrt(176) + 3.
3
Simplify -1*(sqrt(14)/sqrt(2))**2 + -2*sqrt(252).
-12*sqrt(7) - 7
Simplify -3 + (2*(1*sqrt(19) + sqrt(19)))**2 + 1 + 1.
303
Simplify (sqrt(231)/sqrt(7))/sqrt(3) + 3.
3 + sqrt(11)
Simplify (0 + (sqrt(7) - (sqrt(7) + sqrt(112))))**2 - (sqrt(70)/sqrt(2))/sqrt(5).
-sqrt(7) + 112
Simplify (sqrt(7) + sqrt(315)/sqrt(5) + sqrt(63))*6.
42*sqrt(7)
Simplify (2*sqrt(4536) + sqrt(4536))/sqrt(8).
27*sqrt(7)
Simplify (sqrt(2) - (-1 + sqrt(162))) + 0.
-8*sqrt(2) + 1
Simplify -4*(sqrt(63) + sqrt(7))**2 - ((sqrt(21)/sqrt(3))**2 + 3).
-458
Simplify (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 1)) + sqrt(2448))**2*-2.
-19586 + 96*sqrt(17)
Simplify ((sqrt(68)/sqrt(4) + -5)*1 - (sqrt(119)*-2*5)/sqrt(7))**2.
-110*sqrt(17) + 2082
Simplify (1*(-3 + sqrt(363)*-2))**2.
132*sqrt(3) + 1461
Simplify sqrt(27)/((sqrt(90)*-1)/sqrt(10)).
-sqrt(3)
Simplify (-3*(sqrt(132)*-2 - sqrt(132)) - sqrt(132))/sqrt(12).
8*sqrt(11)
Simplify sqrt(153)/(sqrt(9)*-1)*-5.
5*sqrt(17)
Simplify (sqrt(539) + 4*(sqrt(539)*-2)**2)*3*5.
105*sqrt(11) + 129360
Simplify -4 + ((-1 + sqrt(847) + 0)*-5)**2.
-550*sqrt(7) + 21196
Simplify ((-2*sqrt(243))/sqrt(9))/((sqrt(108)/sqrt(3))/sqrt(4)).
-2*sqrt(3)
Simplify sqrt(27)/(sqrt(45)/sqrt(5)) - (sqrt(3) + (1*sqrt(3))**2 + 2).
-5
Simplify ((2*sqrt(192))/(sqrt(20)/(3*sqrt(5))))**2.
1728
Simplify 6*(sqrt(684)*-3 + sqrt(684))*2.
-144*sqrt(19)
Simplify (1*(sqrt(64) - ((sqrt(64) - ((sqrt(64)*-1 - sqrt(64)) + sqrt(64))) + sqrt(64))))/sqrt(8).
-4*sqrt(2)
Simplify (sqrt(2) + 1 + sqrt(2))**2 + sqrt(2) + 2 - (0 + sqrt(2) + 0).
4*sqrt(2) + 11
Simplify (-2*sqrt(3264))/((sqrt(54)/sqrt(3))/sqrt(6)).
-16*sqrt(17)
Simplify (sqrt(78)*1)/sqrt(6) - (sqrt(78)*1)/sqrt(6).
0
Simplify 3*(sqrt(13)*-3 + sqrt(13)) - (5 + 0 + sqrt(13)).
-7*sqrt(13) - 5
Simplify (sqrt(1900)*6 - sqrt(19)) + -3.
-3 + 59*sqrt(19)
Simplify (-1 + sqrt(1872) + -1 + sqrt(78)/(sqrt(6) + sqrt(24)) + sqrt(13) + sqrt(1872)*-1)**2.
-16*sqrt(13)/3 + 244/9
Simplify 3*(sqrt(363) - (0 + (sqrt(363) - (sqrt(363) + 1))))**2.
66*sqrt(3) + 1092
Simplify (2 + sqrt(2299))**2*-3 - sqrt(2299).
-6909 - 143*sqrt(19)
Simplify (sqrt(40) + sqrt(24
|
{
"pile_set_name": "DM Mathematics"
}
|
k = 2865 + -2865.3. Which is the closest to -2? (a) k (b) x (c) -31
b
Let d = 1/6221 - 12447/31105. Let i = 0.2 + -0.4. Which is the nearest to 23? (a) i (b) -5 (c) d
a
Suppose 38 = j + 35. Suppose -5*r - 15 = -6*p + p, 0 = -j*p + r + 9. Suppose -p*g - 55 = 8*g. Which is the closest to -1? (a) 5 (b) g (c) 1
c
Let a be ((-26)/30 + 1)/(72/(-90)). Let k = 7.9 + -7.88. What is the nearest to -2 in 0.3, a, k?
a
Let m = -1526.82 + 1527.2. What is the closest to 2/13 in 1, m, -2/3, -3?
m
Let n = 69 + -63. Let x = 0.1 + -30.1. Let s = 28 + x. What is the nearest to -2/9 in n, 5, s?
s
Let w = 36 - 36.054. Let n = -1001 - -998.946. Let b = n - w. What is the nearest to b in 0.2, 5, -4?
-4
Let i be ((-340)/(-1105) - (-140)/(-117))*-3. Let p be -4 - -2 - 7/(-4). What is the closest to 0 in p, -2, i?
p
Let y = -165 + -111. Let k = y - -279. Let z = 0.2 - 0.1. Which is the closest to z? (a) k (b) -0.2 (c) -0.5
b
Let q be 30/(-35)*3/(-9). What is the nearest to q in -5/6, -0.046, -0.4, -0.2?
-0.046
Let y = 4.3 - 5. Let n = -1.2 - y. Let s = 625 - 630. Which is the closest to -1/3? (a) -15 (b) s (c) n
c
Let i = -1006 + 941. Let s = 63.872 + 0.128. Let t = s + i. What is the closest to t in -0.5, 1, 3?
-0.5
Let y = 6089 + -12177/2. Which is the closest to y? (a) 1/7 (b) 0.2 (c) -4 (d) -3
b
Let i = -0.094 - -12.294. Let y = i - 22.2. What is the closest to 1 in y, 1/6, -1?
1/6
Let p = -14903 + 14903. Which is the nearest to -0.9? (a) 4/3 (b) p (c) -0.4 (d) 2/29
c
Let k = -4.3 + 4. Let g be 3/(6*((-5280)/768 + (7 - 0))). Which is the closest to 2? (a) -1/5 (b) k (c) g
c
Let f = 2.6 - -1.4. Let d = 3165.5 + -3165. What is the nearest to -9 in d, f, -4, -2?
-4
Let q = -1106483/9 + 122943. Suppose 2*y - 2*i - 28 = 0, -4*y + 0*i - 3*i + 56 = 0. What is the nearest to 0.1 in 5, q, y?
q
Let s = 124/71 - 58201/355. Let h = 162 + s. Let m = -5 + 5. Which is the nearest to m? (a) h (b) -2/3 (c) 1/2
a
Let z(o) = -o**2 + 21*o + 50. Let v be z(23). Suppose 66 = -7*r - v*r. Let f = 7 + -12. What is the closest to 0 in r, f, -2/5?
-2/5
Let v = 6862 - 6862.4. What is the closest to -0.1 in 3, 2/13, -62, v?
2/13
Let x be 12/360*-18*(-35)/(-21). Which is the nearest to x? (a) -97.4 (b) 6 (c) 5
c
Let r = -25042 - -25045. What is the closest to 2/31 in -4/3, r, 0.3, 3/8?
0.3
Let m = -23881/54512 + 2/3407. Let j = 87/272 + m. Let a = -1 + -0.2. What is the nearest to -1/2 in a, 0, j?
j
Let d(i) be the second derivative of -i**5/20 - i**4/2 + 3*i**3 + 17*i**2/2 + 47*i. Let u be d(-8). Which is the closest to u? (a) -2 (b) -1/4 (c) 0.05
c
Let u(a) = -83*a - 1747. Let g be u(-21). What is the closest to -2/3 in -0.2, -1/1161, -3, g?
-0.2
Let u = -1992.56 + 1876. Let d = u - 0.44. Let l = d - -121. Which is the nearest to 2? (a) l (b) -5 (c) -0.08
a
Let n = -11940.3 + 11940. Which is the nearest to n? (a) -4 (b) 15 (c) -2/17
c
Let l(k) = -29*k - 1066. Let z be l(-37). What is the nearest to -0.2 in -2/11, -2, -3/2, z?
-2/11
Let q = 0.06 + 1.94. Let d = 36137.9 - 36138. What is the nearest to q in -7, d, 0.4?
0.4
Let h be (-616)/870 + (-16)/(-24). Let i = h - -368/1885. What is the nearest to 1 in -0.4, 0.1, -13, i?
i
Let p = 246.69 - 247.29. Which is the closest to 0.1? (a) 2 (b) 2/7 (c) 2/11 (d) p
c
Let x be -2 + 30/6 + (-376)/92 + 1. Which is the closest to -2/7? (a) -0.4 (b) -2 (c) -8/33 (d) x
c
Let j = -4017947/732 - -5489. Let v = j - -119/2196. Which is the nearest to v? (a) 2 (b) -5 (c) -3
a
Let m = 36.69 + -36.49. What is the closest to m in -1, -2/11, 2, 0.2?
0.2
Let z = 5171 + -5175. What is the closest to 1/8 in -3/7, -5, 2/3, z?
2/3
Let x = -20620 - -20642. Which is the nearest to -51? (a) 5/3 (b) x (c) 5
a
Let n = 1975.271 + -1977. Let s = 1.188 + n. Let c = s + -0.059. What is the nearest to 0.1 in 2/5, c, -1?
2/5
Let d = -2038.1063 - -2038. Let r = d + 3.0623. Let b = r + 0.044. What is the closest to 0 in 0, 2/5, b?
0
Let y = -114347 - -114346. Let p be (-112)/(-180) + (-4)/18. Which is the nearest to p? (a) y (b) -3 (c) 3
a
Let t = -14562.71 + 14564. Which is the closest to -0.1? (a) 0.8 (b) t (c) 1 (d) -2/9
d
Let l be (-1)/((-32)/(-36))*(10 - (-340)/(-30)). Which is the closest to 2/3? (a) 4/7 (b) -1/5 (c) 1.04 (d) l
a
Let g = 18.7 - 44.6. Let l = 24.9 + g. Which is the nearest to -2/3? (a) -2/31 (b) l (c) 2/3
b
Suppose -23 = -3*z - 8. Let w = 1023 + -1023.3. Which is the closest to w? (a) z (b) -4 (c) 3
c
Suppose 2*y - 20 = -4*w, -2*w + 4*y - 18 + 48 = 0. What is the closest to w in 3, 4/5, 1/9?
3
Let g = 14.219 + -0.219. Let j = -17 + g. Which is the nearest to -2? (a) 1/7 (b) j (c) -2/17
b
Let t = 0.2 - -0.013. Let l = t - 0.013. Which is the nearest to 0.1? (a) l (b) -2/17 (c) -3/65
a
Let a be (-2)/3 - 5*(-3)/9. Suppose -2*p + 3*u = -49 + 33, -3*u = 6. What is the nearest to -4 in -2, p, a?
-2
Let t = 23 - 20. Suppose 0 = -5*j + 5*p - 5, -4*p + 32 = t*j - 0*j. Let s = 1.05 - 1.05. What is the closest to 1 in s, j, 0.5?
0.5
Let d = -114.94 - -115. Let h = 1.06 - 0.06. What is the nearest to h in d, -0.7, -3?
d
Let h = -568.6 - -570. Let q = -3.4 + h. Which is the closest to 0.1? (a) q (b) 5 (c) -1
c
Let i = -1.8 + 2. Let g = -0.2 + i. Let n = 9915 - 9913. What is the nearest to g in 3/2, n, -5?
3/2
Suppose n + 0*n + 4*t - 77 = 0, -5*n - 4*t = -385. Let j = 82 - n. Let z = 0.06 + 0.24. What is the nearest to -0.1 in z, j, 0.1?
0.1
Let y = 261.368 + -0.368. Let o = y + -261. Which is the closest to -1? (a) o (b) -0.2 (c) -0.3
c
Let n(k) = 813*k + 1602. Let j be n(-2). Which is the closest to j? (a) -4 (b) 1.9 (c) 0.3
a
Let f = 3 + -4. Let u = -1.086 + 0.086. Suppose 7*o + 11 - 32 = 0. Which is the nearest to u? (a) f (b) 5/2 (c) o
a
Let f = 38158 - 38160. What is the nearest to f in 0.4, 253, 5, 3/5?
0.4
Let r be 4 + 1 - -1 - ((-280)/(-8) + -31). Which is the nearest to r? (a) -2/103 (b) 5 (c) -0.07
a
Let l = 5.5807 + -1.5807. Let o = -5.13 + 0.13. What is the closest to l in o, -0.4, 3, 2?
3
Let i be (1 - 17)/((-30039)/(-1596)). Let a = i - -15/17. What is the closest to 0.2 in 4, -3, a?
a
Let x = 5.002 - 4.502. Let w(n) = 6*n - 3. Let v be w(-15). Let q be 2 - (v/(-30) + -1). What is the nearest to q in x, -5, 3?
x
Let m = 453.803 - 454. What is the closest to -2/7 in 2/11, -0.2, m?
-0.2
Let j be ((-1)/(-10)*-3)/3. Let q = 375 + -357. Let t = 23 - q. Which is the nearest to 2? (a) t (b) -1/2 (c) j
c
Let h = -3148/11 + 286. Suppose 112 = 63*s - 62*s. Let u = -113 + s. Which is the closest to u? (a) 4 (b) h (c) -5
b
Let i(a) = 2*a**2 - 5. Let l be i(-2). Let r = -11/14 + 5/14. Let n = -164 - -164. What is the nearest to n in l, r, -4?
r
Suppose 4*l = -2*x, 55*x - 57*x = 0. Suppose m + 4 = 2. What is the nearest to m in l, 2/7, 32?
l
Let y = 7469 + -7468. Which is the nearest to -3? (a) 0.1 (b) y (c) -106
a
Let l = 136.3 + -134.3. Let w = -3 - -1. Which is the closest to l? (a) 1 (b) w (c) 1/2
a
Let t = -93.07 + 92.57. Which is the nearest to 3? (a) t (b) -2 (c) 0.1 (d) -3
c
Let r = -0.04 + 0.04. Suppose -5*i = 10, -3*p + 5*i + 16 = -6*p. Let v be -4 + (-40)/(-7) + p. Which is the nearest to v? (a) -2 (b) -3 (c) r
c
Let d = -5113 + 35789/7. Which is the nearest to d? (a) 0.77 (b) -15 (c) -5
a
Let i = 4967/154 - 719/22. Let u = 0.8 + -0.3. What is the closest to 0.1 in u, i, 10?
u
Let q be (-12 + (-527)/(-51))*1/(-5)*5. Which is the closest to -2/11? (a) 0.2 (b) -0.65 (c) q
a
Let q = -0.12072 - 39.87928. What is the closest to -1/3 in -8, 0.5, q?
0.5
Let y = 0.587 - -349.413. Let q = -350.6 + y. Which is the closest to 0.6? (a) -2 (b) q (c) -0.2 (d) -3/8
c
Let o = -5781 + 17120/3. Let d = -48 - 26. Let m = d - o. Which is the closest to 1/2? (a) 5 (b) m (c) 0.08
b
Let j = 1413 - 60761/43. What is the closest to j in -2/9, 3, 1, 2/5?
-2/9
Let k = 1.1 + -0.7. Let v = 204.9 - 205.9. What is the closest to v in 3, k, 5?
k
Let g(m) = 387*m + 2279. Let x be g(-5). What is the nearest to 2 in x, 2/7, 2/13?
2/7
Let l = 3762.95 + -3763. What is the nearest to -5 in -2, l, -2/3, -3?
-3
Let p = 21841/4 - 5460. Which is the closest to -1/4? (a) -1/11 (b) -20 (c) p
a
Let y = -37.3484 + 1.3484. What is the nearest to 11 in -4, -0.3, y?
-0.3
Let d be 1
|
{
"pile_set_name": "DM Mathematics"
}
|
lue in -5, 1, 9, 5?
-5
Which is the fourth smallest value? (a) 4 (b) 7/4 (c) 2/3 (d) 0.4
a
What is the second smallest value in -2/9, -541.5, 0.1?
-2/9
What is the third biggest value in -19, 0, 5?
-19
What is the biggest value in 0.5, 2.7, -0.4?
2.7
Which is the fifth biggest value? (a) 3 (b) 4 (c) -3/8 (d) 0.4 (e) 2
c
Which is the biggest value? (a) -7 (b) -3 (c) -17/2 (d) 5
d
What is the biggest value in 0.12, -0.5, -44/13, 0.3?
0.3
What is the biggest value in -2/5, 1/10, -22?
1/10
Which is the second smallest value? (a) -0.01 (b) -3 (c) 25
a
Which is the fourth smallest value? (a) 1/3 (b) -0.3 (c) 2/25 (d) -52
a
Which is the smallest value? (a) 3/4 (b) -4/9 (c) 0.06 (d) 0.1 (e) 2/13
b
Which is the smallest value? (a) -1 (b) 13 (c) -0.6 (d) -3
d
Which is the smallest value? (a) -4 (b) -198 (c) -1/6
b
Which is the third biggest value? (a) 3/2 (b) 0.3 (c) -4
c
Which is the third smallest value? (a) 19.6 (b) 0.02 (c) -4
a
Which is the fourth biggest value? (a) -8 (b) -0.01 (c) -1/3 (d) 0.1
a
What is the fourth smallest value in 2/7, 5, 2, -0.3, -19?
2
Which is the fourth smallest value? (a) 39 (b) -3 (c) -4/7 (d) 0.2 (e) 5
e
What is the fifth smallest value in -2/9, 0.12, -1/6, -1, -2?
0.12
Which is the third biggest value? (a) 58/13 (b) -3 (c) -2/7
b
What is the second biggest value in -18, 1/6, 3/5?
1/6
Which is the biggest value? (a) 2/9 (b) 1/8 (c) -5 (d) 5 (e) -14
d
Which is the biggest value? (a) -0.3 (b) 4 (c) -9/4 (d) -114 (e) 2/23
b
What is the smallest value in 0.01, 9/4, 0.1?
0.01
What is the third smallest value in 0.19, -2/11, 3/14, 0.2?
0.2
What is the second smallest value in 23, -5, 1, 1/4, -2/7?
-2/7
Which is the third biggest value? (a) 1 (b) -4/3 (c) 6 (d) -4 (e) 0
e
What is the biggest value in 2, 0.1, -2, -6?
2
Which is the second smallest value? (a) 5 (b) 1/30 (c) 3/5
c
What is the fourth biggest value in -2, -7, -6, 0.3?
-7
What is the third smallest value in 2/3, -0.1, -33, 4?
2/3
What is the third biggest value in -0.01, 1, 68, 0.1?
0.1
Which is the biggest value? (a) -0.06 (b) -5 (c) -7/2 (d) 5
d
Which is the third biggest value? (a) 27 (b) -16 (c) -11
b
What is the smallest value in -0.5, 3415, 0?
-0.5
What is the second biggest value in 0, 14.7, -1, 1?
1
Which is the third biggest value? (a) -3 (b) 0.5 (c) 0.1 (d) -0.2
d
What is the second smallest value in -4/3, -526, 12?
-4/3
What is the second biggest value in -0.07, -1/4, 0.16, -2?
-0.07
Which is the second biggest value? (a) -0.18 (b) 0.4 (c) 26
b
What is the second biggest value in -0.1, 5, -3, 3?
3
Which is the third smallest value? (a) -6 (b) -4/3 (c) -300
b
What is the third biggest value in -8, -0.2, 2/9, 4, 1/2?
2/9
Which is the second biggest value? (a) 0.4 (b) 817 (c) 2/13
a
What is the third smallest value in -0.3, 0.2, -5, -0.5, 5/16?
-0.3
Which is the smallest value? (a) -5 (b) -0.4 (c) -370
c
Which is the smallest value? (a) -0.2 (b) 2/11 (c) 0 (d) 5 (e) 4
a
What is the second smallest value in -17, -0.5, 0, 5?
-0.5
What is the biggest value in 2, 1, -0.05, -0.5?
2
What is the fourth biggest value in -0.5, -16, -4, -0.09?
-16
Which is the third biggest value? (a) -4 (b) 3/7 (c) 1 (d) -1/5
d
What is the smallest value in 25, 0, 18?
0
What is the second biggest value in 1/7, -0.3, 78?
1/7
What is the second smallest value in 9/7, 0.5, -1?
0.5
What is the fourth smallest value in -11, -0.3, 5, -1?
5
Which is the smallest value? (a) -0.79 (b) -0.1 (c) 0.1 (d) 0.5 (e) 3
a
What is the second smallest value in -1, -2, 0.09?
-1
What is the second biggest value in -0.4, -169, -5, 3/4?
-0.4
Which is the smallest value? (a) 9.4 (b) 5 (c) -1/7
c
What is the smallest value in 10, -2/5, 4, 3/4?
-2/5
What is the third biggest value in 6, 27, 0.13?
0.13
Which is the second smallest value? (a) -2/85 (b) -0.5 (c) -2/3
b
Which is the second smallest value? (a) -3/8 (b) -2 (c) -7 (d) 3/4
b
What is the fourth biggest value in 6, -843, -4, -6/11, 2?
-4
What is the second smallest value in -1, 0, -3/470, -5/3?
-1
Which is the fourth smallest value? (a) -6 (b) -40 (c) 2 (d) -1
c
Which is the fourth smallest value? (a) 0.5 (b) -3 (c) -5 (d) -35.4
a
Which is the third biggest value? (a) 4 (b) 1/4 (c) 2/25 (d) 5 (e) 0.5
e
Which is the second biggest value? (a) -3/11 (b) 0.14 (c) -0.2 (d) 4
b
What is the biggest value in 15/22, 0.2, -5, -4?
15/22
What is the smallest value in 4, 8, -2/7, -8?
-8
Which is the third smallest value? (a) 1 (b) 2 (c) -2/13 (d) 0.5
a
What is the second smallest value in -861, -2/7, -2?
-2
What is the second biggest value in -150, -0.1, 4?
-0.1
What is the second smallest value in 4/3, 41, -5?
4/3
What is the second biggest value in -0.1, -0.5, -98?
-0.5
Which is the second biggest value? (a) 1/2 (b) 0 (c) 13
a
What is the third smallest value in -3, 1/2, -5, 0.16, -0.5?
-0.5
What is the biggest value in 2, 3, 3/19?
3
What is the third biggest value in 4, 19, 0.4, 3?
3
Which is the second smallest value? (a) 2/3 (b) -4 (c) 1/1437 (d) 0.5 (e) -3
e
Which is the biggest value? (a) -1 (b) 3 (c) 6/5 (d) -4
b
Which is the second biggest value? (a) -5.1 (b) -2 (c) -4/5 (d) 0
c
Which is the second smallest value? (a) -47 (b) -12 (c) -1/2
b
What is the third smallest value in -0.3, 2, 8/7, -2/659?
8/7
Which is the biggest value? (a) -1/3 (b) 2/9 (c) -4 (d) -3/4 (e) -11
b
What is the fifth smallest value in 6, -3, -35, 2, 0.5?
6
What is the third smallest value in 4, 1/6, 309?
309
Which is the third smallest value? (a) 5 (b) -22 (c) 1/4 (d) -1/4
c
Which is the fourth smallest value? (a) -1 (b) -2/7 (c) 86 (d) 2 (e) -4
d
Which is the third smallest value? (a) 1 (b) -1587 (c) -5
a
Which is the biggest value? (a) 2/11 (b) 92 (c) -1/2
b
What is the third smallest value in -0.3, -10, -11?
-0.3
Which is the second smallest value? (a) -5/4 (b) 4 (c) 5/2 (d) 5
c
What is the fourth biggest value in -1, -0.4, 7, -0.08?
-1
Which is the biggest value? (a) 3 (b) 4 (c) 0.4 (d) 4/9
b
Which is the smallest value? (a) 0.3 (b) 0.24 (c) 10
b
Which is the second smallest value? (a) -1/4 (b) 1/2 (c) 0 (d) 2/9
c
What is the second smallest value in 0, -0.15, 11/7?
0
What is the fourth biggest value in 1/2, 4/7, -1/4, 7/2, -10?
-1/4
Which is the second smallest value? (a) 15 (b) -0.2 (c) -6
b
What is the third smallest value in -2/5, -2/17, 0, -3, 1/7?
-2/17
What is the third biggest value in -47, 7, 1?
-47
What is the second smallest value in 2/17, 18, 2, 5/3?
5/3
Which is the second biggest value? (a) 2 (b) -4/143 (c) -1/3
b
What is the biggest value in -2, -1/2, 1/39, -0.04?
1/39
What is the second smallest value in -1/4, 0.2, -37?
-1/4
Which is the second biggest value? (a) 2/9 (b) 2 (c) 23
b
What is the fourth smallest value in 2/15, -0.5, 11, -1, 2/19?
2/15
Which is the biggest value? (a) 7.2 (b) 2/7 (c) -3/8 (d) 4
a
What is the fourth biggest value in -3, -2, 4/7, -11?
-11
What is the fourth smallest value in 0, -2/5, 0.3, 3/5?
3/5
Which is the second biggest value? (a) 0.4 (b) 7 (c) 8 (d) -0.1
b
What is the third smallest value in 2, 30/7, -1, 5?
30/7
What is the smallest value in 0, -176, -2/13, -8, -3?
-176
Which is the biggest value? (a) 16 (b) -0.056 (c) 0 (d) -0.2 (e) -2/3
a
Which is the biggest value? (a) -2 (b) -1 (c) 35/3
c
Which is the second smallest value? (a) 1 (b) -34 (c) 2/3
c
Which is the second biggest value? (a) 3 (b) 10/9 (c) 0.02
b
What is the biggest value in -3, 0.2, 0, 4, -8.5?
4
What is the smallest value in -213, -0.5, -3?
-213
Which is the second smallest value? (a) 5 (b) -0.2 (c) -4
b
Which is the third smallest value? (a) 3 (b) 1 (c) 2 (d) 0 (e) -85
b
What is the smallest value in -1, -5, -52, 37?
-52
What is the second smallest value in -4/7, -0.5, -1?
-4/7
Which is the third smallest value? (a) 1 (b) 29.5 (c) 12
b
What is the third biggest value in 1/2, 2.5, -21?
-21
What is the second biggest value in 7, -12, 0, 2/23?
2/23
Which is the fourth smallest value? (a) -47 (b) 1/2 (c) -0.5 (d) -0.3
b
Which is the third biggest value? (a) 41.4 (b) -0.1 (c) -3/4
c
Which is the second smallest value? (a) 0.9 (b) -
|
{
"pile_set_name": "DM Mathematics"
}
|
m + 836458 - 120265. Is 2568 != m?
True
Let h be 570*(5 + (-4)/1). Let d be (0 + 1)*5*(-12)/h. Which is smaller: 9 or d?
d
Let s be 3 + 4/18 + (-845)/(-45). Suppose -26*m + s*m + 4 = 0. Which is greater: m or 2?
2
Let u = -8 + 13. Suppose 3*d - 3*g = 42, -5*d - 9*g + 11*g + 67 = 0. Suppose -18*z = 5*t - d*z + 5, -5*z = -3*t - 3. Which is smaller: t or u?
t
Let h be 2/1*(3 - -1). Suppose 0 = -2*c - g + 17, -3*c + 4*g = -4*c + 12. Is c bigger than h?
False
Let g = 691209 + -309661781/448. Let w = g - -3/64. Let s(p) = 542*p**2 + 3256*p + 19. Let q be s(-6). Is q greater than or equal to w?
False
Let r be (336/(-294))/((-4)/126). Suppose 5*h - 11 = -2*j, 3*j - 7*h = -3*h + 51. Let c = j + -25/2. Is c >= r?
False
Suppose 5*t = 3*g + 5, -4*g - 8*t = -4*t - 4. Let b be ((-3 + 0)/(-81))/(-4 - 129/18). Are b and g nonequal?
True
Let x = -1388 + 1390.1. Are x and -3 non-equal?
True
Let r = -26642 + 26524. Which is smaller: r or 44?
r
Let o = -258497/2 - -132799. Which is smaller: o or 3551?
o
Let u(x) = x**3 + 6*x**2 - 7*x - 14. Let m be u(-6). Let h be (-41)/14 + 84/m. Does 0 = h?
False
Let d be 13 + (19 - 29 - 1). Which is smaller: d or 2808?
d
Suppose -f + 3*a + 22 = 0, 2*f - 6*f + a + 110 = 0. Let t be 1 + 1 + 0 + -35 + -2. Let z be (-1)/(-5) - 938/t. Which is smaller: f or z?
z
Suppose -3*a = -13*a + 4*d + 14700, -4409 = -3*a + d. Is a != 1461?
True
Let u(x) = x**3 - 6*x**2 + 6*x - 7. Let k be u(2). Suppose 127 + 177 = 8*b. Let y = -52 + b. Which is greater: y or k?
k
Suppose 10*n = 656 + 1594. Let s = n + -1797/8. Which is bigger: s or -1/2?
s
Suppose a + 24 = o - a, -2*o = 4*a - 80. Suppose -5*z = 3*s + o, 4*s + 4*z = z - 61. Let y(b) = -b - 16. Let i be y(s). Is i equal to 3?
True
Let p = -689 + 583. Let j = -105 + -104. Let h = p - j. Is 103 smaller than h?
False
Let z = -240.09 - 1.91. Let v = -242 - z. Which is greater: -0.0218 or v?
v
Let q be (2/3)/((-8)/12). Let s = 466 + -11647/25. Is s at least as big as q?
True
Let o(i) = -i**2 - 45*i + 174. Let g be o(4). Is -101 >= g?
False
Let a be 16/((-10368)/1308) - 5/(-6). Which is bigger: -1 or a?
-1
Let m be 40/(-22) + 8/(-44). Let y(l) be the second derivative of l**5/20 - 7*l**4/6 + 5*l**3/2 - 29*l**2/2 - 24*l. Let c be y(13). Is c smaller than m?
True
Suppose -20*v = -219 + 279. Let t be (4/6)/(v - (-56)/24). Which is smaller: t or 14.6?
t
Let j = -324.734 + -0.266. Let n = j - -325. Is -230 at most n?
True
Let c(r) = r**2 + 5*r + 10. Let t be c(5). Suppose 4*o = -u - t, -o + 2*o - 4*u + 32 = 0. Let n be (13/(-65))/(o/10 - -1). Which is bigger: n or -7?
n
Suppose 4965 = -3*c - 3*m, -6*c - 3*m = -10*c - 6620. Do -1655 and c have the same value?
True
Let a be 2/10 + 28/(-35) + 32/50. Suppose 4 + 2 = 2*q. Suppose -q*c = 6, 4*c + 9 = -0*f - f. Which is smaller: a or f?
f
Let c = -0.0885 + -1.2515. Which is bigger: c or 2/41?
2/41
Let l = -10 - -15. Suppose 2*w + 3*w + l = 0. Let y be (2 - 10/6) + w. Is y bigger than -6?
True
Let s be -1353 - ((-3)/(-2))/((-1)/2). Is -1352 > s?
False
Suppose 14*b - 228 = 173 - 331. Let l be (-530)/(-136) + (-4)/16. Which is greater: b or l?
b
Let x be 1*(4/(-14))/(-29*13/(-398489)). Is -275 bigger than x?
True
Let v(z) be the first derivative of z**4/4 + 7*z**3/3 + 5*z**2/2 + 8*z + 5. Let j be (-14 - -8)/(-1 - (-4)/2). Let f be v(j). Which is smaller: f or 11?
11
Suppose -4*c - 6*c + 30 = 0. Suppose -19 = -c*v - 19. Which is bigger: 2/597 or v?
2/597
Let r = 2.98 + -2.68. Let d = -13 + 25. Let a be 8/d + (-8)/6. Is r < a?
False
Suppose 2*s + 2*x = -684, 0*s + 5*x + 1376 = -4*s. Is -342 <= s?
True
Let s be ((-4)/(-12))/((-3)/3717). Let g = s + 399. Which is smaller: -13 or g?
g
Let q = 463 - 466. Let i be ((-11451)/(-105))/11 - q/(-15). Which is bigger: 0 or i?
i
Let o be 9*-27 - ((-7)/2)/(-7)*-12. Are o and -230 nonequal?
True
Let a = 1.335 + -55.335. Let c = 9 + -7. Which is smaller: c or a?
a
Let n = 59 - 53. Let p be (2 - n)*(1 - 329/332). Let r = 673/249 + p. Which is greater: r or 0.2?
r
Let x be 8/84 - (-120)/63. Let z be (-2 + -1)*4*x/24. Is 2/317 greater than or equal to z?
True
Let g(p) = -8*p**3 + 3*p**2 - 2. Let y be g(-1). Let z be (-2328)/(-3360) + y/(-12). Do 1 and z have the same value?
False
Suppose 2*s + 111 = s. Let k = -7604 - -46291/6. Let n = s + k. Which is greater: 0 or n?
n
Let v = 0.2 - 0. Let s be 24/(-20)*(-63 - -3). Let i be ((-18)/(-70))/((s/(-30))/(-4)). Which is greater: v or i?
i
Let p = 5 - 6. Let j be (-6)/27*(2 + (-1038)/492)/(-6). Which is smaller: p or j?
p
Let x = 177 - -106. Let w = x + -282. Does 9/13 = w?
False
Suppose 0*g - 4*g = 0. Let r be (35 - 2479/74)*104/(-6). Is r at most g?
True
Suppose -3*j - 19*j - 22 = 0. Let u = -49236/19 + 2590. Is u less than j?
True
Let a be 6*(91/(-42) + 2). Which is smaller: -271.9 or a?
-271.9
Let z be 418/264*6*(-2)/548. Is 0 at most as big as z?
False
Let m be 3615/(-5775) + (-3)/(-5). Suppose -5*k + 117 = 3*i - k, 2*k = -2*i + 78. Let a = 38 - i. Which is smaller: m or a?
a
Let w(a) = a**3 - 3*a**2 + a. Let z be w(0). Let i be (-6)/(-12)*(z + 173/2). Are i and 44 nonequal?
True
Let g be (37 + 31130/(-308))*8/1. Which is smaller: -512 or g?
g
Let u be (0 + 1)/(10/(-1490)). Suppose -4*m - 590 = -2*t, -4*m - 593 = 33*t - 32*t. Does m = u?
False
Suppose 4*f = 5*r - 84, 2*f = -3*r + 8*r - 92. Suppose 4*j = -5*l + r, l + 10*j = 5*j - 17. Let q be (1 - 2/(-6))/(1/6). Are l and q equal?
True
Suppose 2*j = -3*p + 6*p + 20, -5*j = 5*p. Let v be 260/(-546) - p/7. Let c be (-1 + 3)/(2/1). Is c greater than v?
True
Let k be (-40)/360 - (1108/9)/(-1). Let h = 7.4 - 7.3. Is h < k?
True
Suppose -508 = 35*h - 31*h. Let d be 254/h*(-2)/(-4). Is d equal to 0.665?
False
Let x = -4550336080/11363 - -400452. Which is smaller: x or 1?
x
Let t(r) = r**2 + 10*r - 143. Let k be t(-18). Let f be ((-11)/((-198)/24))/k + -2. Which is bigger: 68 or f?
68
Let k = -138 - -166. Suppose -k*u + 11*u - 17 = 0. Is u at most -16/7?
False
Suppose -61 + 5 = -4*g. Suppose v - s + 7 = 4*s, -55 = -3*v - 4*s. Let d = v - g. Is -2/35 > d?
True
Let t be (7 + -6)/(1/(-569)). Let j = t - -10806/19. Which is smaller: j or 0?
j
Let s = -207 + 213. Let f be ((15/s)/1)/(9/36). Is f less than 3?
False
Suppose 17*a - 58 = 61. Let n(c) be the second derivative of -c**4/12 + 5*c**3/6 - 11*c**2/2 - c. Let r be n(a). Is r > -25?
False
Suppose -u - 3 = -26. Let q = u + -1199/52. Which is smaller: 0 or q?
q
Let u be (-6)/45*-5*12/1. Let r(a) = 9*a - 1. Suppose 0*g = g - 1. Let p be r(g). Is u < p?
False
Let k = -465.9 + 465. Let v = -21 + 20.9. Do k and v have the same value?
False
Let z be ((-400)/32 - 7)/((-39)/(-104)). Let k be -2 - -1 - (5 + 45). Which is smaller: k or z?
z
Let u be 2 + -1 + 21/7. Let z be u/(-4) + 0 - -1. Let k = 11/39 + -115/546. Which is greater: k or z?
k
Let k(y) = -14*y + 1. Let i be k(1). Let c(q) = 3*q**2 + 5*q - 34. Let l be c(-10). Suppose 0 = -23*s + 5*s - l. Which is smaller: s or i?
i
Let v = 0.085 - 72.085. Let j = v + 69.1. Let z = 2.4 + j. Is -5 < z?
True
Let y be (14 + 297/(-22))/((-2 + -1)/(-564)). Which is smaller: 1584/17 or y?
1584/17
Let s(c) = 3*c. Let o be s(0). Suppose o = -2*h + 7*h + 25, 3*v + 11 = -4*h. Let a be (-1 - (v + 0)) + -14. Is -18 less than a?
False
Let j = 16.14 - 8.49. Let a = -608.65 + j. Are 1 and a unequal?
True
Suppose -2 = c - 1. Let v be ((-121)/726)/(((-6)/5)/((-6)/(-380))). Do c and v have different values?
True
Let l = 1.34 + -1.24. Let n be (65/52)/((-1)/(-20)). Which is smaller: n or l?
l
Suppose -2*m - 1 = 1. Let w(b) = -b**2 - 61*b + 8290. Let n be w(65). Which is greater: m or n?
n
Let f be 4 + (8/28 - 1060/(-14)). Suppose 25 = s + f. Which is smaller: s or -56?
-56
Let j be -39*(9870/(-819) - -12). Which is smaller: j or 2167?
j
Suppose -4*l = -2*f - 7976, 0 = l + 25*f - 23*f - 1989. Is 3983/2 less than or equal to l?
True
Let c = -2687.42 + 2664. Let t = c + 23. Let n = t - -0.57. Which is greater: 0.1 or n?
n
Let o be ((-1)/(-4))/((-18)/216) - -6. Let m be (-4)/(16/o)*2/6. Is 0 less than m?
False
Let p = -3582 - -3583. Which is greater: -798 or p?
p
Suppose -1056 = 16*z - 1040. Is 2/997 less than or equal to z?
False
Let n = 1.52 - -0.48. Is 0.392 smaller than n?
True
Suppose -4*n = z + 165, n + 45 = 4*z - 5*z. Suppose -9*r - 4147 = 4*r. Let f = r + 279. Is n g
|
{
"pile_set_name": "DM Mathematics"
}
|
16*b for z.
-3
Let m = 1611 + -924. Let f = 690 - m. Solve -7*p - x = -f*p, 3*p - 1 = -x for p.
-1
Let b(u) be the second derivative of -5*u**3/6 + 16*u**2 + 12*u - 3. Let z be b(6). Solve 0 = -2*m - s - 3, -2*s + 15 = -z*m + s for m.
-3
Let g = -3942 + 3944. Solve 0 = r - 4*r - 5*d, 2*r = g*d for r.
0
Suppose 24*u + 848 = 16*u. Let c = 107 + u. Solve 3*x - 4*r + c = -4, 4*r = 4*x + 4 for x.
1
Suppose 5*d + 155 + 45 = 0. Let v be 1*(0/(-1) + (-1)/(5/(-220))). Let m = v + d. Solve 4*i - 23 = i + 4*z, 4*i - 24 = m*z for i.
1
Let k = -4 - -1. Let r be (27/(-9))/(-6) - (-6)/(-4). Let y be (((-1)/k)/r)/(4/(-48)). Solve -5*s - 2 = -o, y = -o + 3*o + 4*s for o.
2
Suppose -48*g + 45*g = 0. Suppose g = -8*r + 19 + 21. Suppose -5*f - r = -25. Solve -3*d = f*k + 8, -6 = d + 2*k - 0 for d.
4
Let b = -49 - -53. Suppose 3*m - 12 = 0, 0 = -b*q + 5*m - 128 - 148. Let w = q - -76. Solve 4*p + 2 = -3*i + 30, -2*p = i - w for p.
4
Let n(v) = 38*v + 1330. Let m be n(-35). Solve m = 2*b - 79*t + 76*t + 9, 0 = -4*b + t - 3 for b.
0
Let u be (12/9 - 2)*5*12/(-10). Solve 0 = -u*y - 4*z - 8, 27*z - 25*z + 7 = y for y.
1
Suppose -y - 17 = -q + 4*y, q + 2*y = -4. Solve -m - 3*j - 2 = -0, 0 = q*m + 2*j + 4 for m.
-2
Let z(t) = t**3 + 3*t**2 + t + 7. Let k(y) = -2*y**2 + y - 2. Let d be k(1). Let i be z(d). Solve -5*o - 2*p + 13 = -0*o, 2*p - 12 = -i*o for o.
1
Let s = -2388 - -2416. Solve -y = -4*n - 12, -3*y - 16 = -4*n - s for n.
-3
Suppose 4 - 13 = -9*c. Let z be -1 - 1/c*-1. Let j(w) = -w**3 - 3*w**2 - 5*w - 3. Let o be j(-2). Solve 5*f = -5*s - 10, -o*f + z*f = 5*s + 6 for s.
0
Let c = -16 + 7. Let v be (25/10)/((-8)/(-64)). Let i = c + v. Solve 2*n = -l - i, 0*n + 2*l + 2 = n for n.
-4
Let f be ((-3)/6)/((-1)/(-16)). Let y = f + 12. Suppose -131*q + 130*q - 9 = -3*c, c = 2*q - 7. Solve y*h + c*p - 19 = 0, -h + 4 = p - 0 for h.
1
Suppose 36 = -10*t + 19*t. Suppose r = -4*r + 2*y - 415, 2*r + t*y + 142 = 0. Let p = 83 + r. Solve 2*m + 3*c = 6*m + 26, -p*c = 3*m + 11 for m.
-5
Suppose 0 = 5*v + y - 30, -5*v + y = -44 + 4. Let t be v/3 - (-10)/6. Solve 4*r + 2*a + 2 = 0, t*a - a + 5 = -5*r for r.
2
Let j(h) = -5*h - 42. Let c be j(-10). Suppose 162 = 14*l + c. Suppose l*r = -r + 60. Solve r*u + 26 = -0*u - 2*x, 2*u + 20 = -4*x for u.
-4
Let t(r) = -648*r - 52465. Let y be t(-81). Let u = 12 + -7. Solve u*i - 15 = -3*m, y + 2 = 5*m - i for m.
5
Let g be -5 + 112*((-16)/(-7) - 2). Solve -u - 5*t = 20, -13*u + 16*u + g = -4*t for u.
-5
Let q(w) = -2*w**2 + 23*w + 16. Let k be q(12). Solve 2*g + 3*r = -k, 2*r = 4*g + 3*r + 8 for g.
-2
Let y(t) = t**3 + 33*t**2 - 32*t + 80. Let d be y(-34). Suppose 5*w = 5*j + 8*w - 30, 2*j - d = w. Solve 4*l + 8 = l + f, -l - 4*f = -j for l.
-2
Let u be ((-16)/(-1248)*24)/(2/13). Solve x = -u*x - 6, 4*t = -4*x for t.
2
Let y = -2 + 17. Suppose -4*w + 5 + y = 0. Let v be 8/w + 6/15. Solve 0 = -3*r + v*u - 9, -u + 2 = r - 2*r for r.
-5
Let t be (-32)/(-32)*1*12/(-2). Let p be (t/(-36))/(14/168). Solve p*a = -5*v + 5, 4*a + 3*v - 6*v + 29 = 0 for a.
-5
Let v(y) = 3*y**3 - 5*y**2 + 3 - y**3 + 3*y**2 - 5*y. Let x be v(3). Let b be (54 - -1)/(191 - 186). Solve -3*w + b = -2*s - 2, x = 4*w + 4*s for w.
5
Let v(u) = 3*u**2 - 8*u - 2. Let h be v(-1). Solve 0 = 3*c + b + 7 - 14, 5*b - h = -2*c for c.
2
Let q(p) = p**2 + 16*p + 65. Let k be q(-6). Solve -4*u + 3*m + 1 = -5, -3*u + 10 = -k*m for u.
0
Suppose -121 + 121 = -9*s. Solve 3*k + r = -9, 21*k - 26*k - r - 15 = s for k.
-3
Suppose -156 = -8*h + 604. Suppose -17 = m - h. Let i = -75 + m. Solve -p + j = 2, 0*j + 2*j = -i*p - 21 for p.
-5
Let h = -184 - 188. Let a = 377 + h. Solve -a*u + 2*u = i, 0 = -2*u - i for u.
0
Let l(i) be the first derivative of 3*i**2/2 - 55*i + 44. Let p be l(19). Solve -p*y - 2*c = -6, -4*c + 4 = -3*y - 1 for y.
1
Let k(v) = -v**3 + 17*v**2 + 20*v - 17. Let r be k(18). Suppose 3*a + 5*m - 5 = -r, a - 18 = 4*m. Solve -5*n + 3*c = -17, 2*n - 2*c = a*c + 18 for n.
1
Let t(m) = -668*m - 5341. Let o be t(-8). Solve -4*p + 0*p + 5*z = -18, 14 = 4*p - o*z for p.
2
Suppose f = -0*u - 4*u + 87, 5*u + 4*f - 117 = 0. Let x be 8/26 + (-576)/(-156). Solve 3*g + 4*j - 7 - u = 0, -2*g = -3*j + x for g.
4
Suppose 157 = -a + 4*a + k, -2*a = 3*k - 107. Suppose 0*g - a = 2*g. Let f = g - -28. Solve -i + 3*d - f = 0, 0*i - 3*d = -3*i for i.
1
Suppose 3*y = -y - g - 2, 4*g + 8 = 0. Suppose y = -57*i + 61*i - 16. Solve -2*c = -i*o - 10, -3*o - 11 = c - 1 for c.
-1
Let n be (-250)/(-30) + (-2)/6. Suppose 0 = 4*c - l - 12, 3 = c + 4*l + l. Solve -18 = -3*u + c*x, -4*u = -n*u - x - 1 for u.
1
Let n be ((-5)/(-5))/(3/15). Solve -35*l = -34*l - x - 3, -3*l + 25 = n*x for l.
5
Let y(s) = 4*s + 15. Let d(z) = -9*z - 28. Let b(q) = -6*d(q) - 14*y(q). Let i be b(-23). Solve -x = -i*g - 11, 2*g - 5 = -4*x - 15 for x.
-1
Suppose -2*h + 50 + 7 = v, -4*h + 109 = -3*v. Let g(u) = -343*u + 15100. Let i be g(44). Solve a = -a + l - i, 4*a - 5*l + h = 0 for a.
-2
Suppose 4*x + 106*c = 109*c + 198, -152 = -3*x + 4*c. Solve -46 = q - x, -5*p + 18 = -q for p.
4
Let u = 21710 + -21705. Solve -4 = -c + 2*p, u*p - 2*p = c - 7 for c.
-2
Let m = -31 - -35. Let a(u) = -u**3 + u**2 + 18*u - 9. Let c be a(m). Solve -5*o - q - 5 = c, -3*o = 2*q + 19 for o.
-3
Let u(i) = 13*i + 381. Let f be u(-29). Solve -f*h - 2 = -3*z - 7, -20 = -2*h - 2*z for h.
5
Let n be 162/(-189) - 152/(-14). Solve -5*c = 5*s - n, 30 - 28 = -2*s for c.
3
Let d be (-14 + 20)*2/(-4). Let y(a) = 2*a**2 + 8*a + 8. Let s be y(d). Solve -2*k - 9 = 3*i, -4*k + 2*k + 4*i - s = 0 for k.
-3
Let q be 2/10 + (-278)/(-10). Suppose -3*u - h = -31, 2*u = 3*h - 0*h + q. Suppose 0 = -x - 8 + u. Solve r + 23 - 9 = x*a, -4*r + 4 = 3*a for r.
-2
Suppose 0 = -3*a - 3*g, 2*g + 3 = 4*a - 5*a. Let m be (a - 55/10)*(3 + -5). Solve -w + m = -t - 3*t, -3*t = -3*w - 3 for w.
-3
Let v be (1/3)/((-12)/(-4104)) + -5. Let f = v + -105. Solve 3*q = 4*l - q + 8, -l + f = 5*q for l.
-1
Let p = 5 + -1. Let c(n) = -6*n**2 - 47*n + 14. Let m be c(-8). Suppose 7*x - 5*x = m. Solve -5*a + p = g, x*g - 21 = -2*a - 9 for a.
0
Let n = -2897 + 2908. Solve -5*w + n = -2*u, 0*u - 2*u = -w + 7 for u.
-3
Let s be (4*-1)/((2544/(-104))/3 - -8). Solve 14*n - s = 2*y + 10*n, 2*n - 10 = 0 for y.
-3
Suppose 5*d - 477 = -3*w - 8, -3*d - w = -283. Suppose l = -3*c - 4*l - d, 4*l - 180 = 4*c. Let f = 52 + c. Solve 3*i = -15, -2*u + 13 + f = -3*i for u.
5
Let y = -5512 + 5519. Solve -y = -3*i + 4*u, -6*i + 3*i - 3*u = 0 for i.
1
Let s be 12/(-14)*(10 - (-287)/(-14))/3. Solve 2*d - 5*n = d - 4, s*n = 3*d for d.
1
Let k = 4986 - 4983. Solve -47*r + 51*r = -5*p - 36, -k*p - 4*r = 28 for p.
-4
Let s(x) = x**3 + 8*x**2 - 90*x - 608. Let f be s(-11). Solve 3*j = 5*u + f, 9*u = 13*u + 8 for j.
3
Let l be 3/(2*(-252)/(-16))*21. Let y(u) = 6*u**2 + u. Let d be y(-1). Solve w = l*b + 9, -3*w - d*b - 21 = -4*w for w.
1
Let b = 123 - 112. Suppose 5 = -b*d + 12*d. Solve -2*w = -d*j + 11, -19 = -4*j - 2*w + 7*w for j.
1
Suppose -18*a = -9*a + 54. Let z(t) = -25*t - 148. Let c be z(a). Solve 0 = -c*p + 4*m + 18, 4*p - 9 = 2*m + 3 for p.
1
Let w(p) = -6*p + 63. Let l be w(10). Suppose -19*x - 19 + 57 = 0. Let q = 7 + -3. Solve d - l*j = -d + 9, -q*d + 14 = -x*j for d.
3
Suppose -61 = -b - 5*q - 312, -3*b - 753 = 5*q. Let z = b + 256. Solve 2*g = 0, -z = 5*n - 2*g - 2*g for n.
-1
Suppose 22 = 12*l - 8*l + s, -5*l = -s - 32. Solve 0 = o - 3*u + 14, -4*u - l = 5*o - 3*u for o.
-2
Suppose -p - 8 + 11 = 0. Let a(h) = 8 - 5*h + 0*h - 2*h**3 + p*h**3 + 4 + 4*h**2. Let i be a(-5). Solve c - 5 = 2*t, 5*c + 2*t = -t + i for c.
3
Suppose 5*t + 55 = p, -p + 7*t + 63 = 4*t. Let c be -3 - (-235)/p - (-8)/(-60). Solve c*y + 2*y = -4*m - 24, 4*m = 2*y - 16 for y.
-2
Let t be 16/(-6)*15/10. Let j be (t + 279/6)*2. Let i = 87 - j. Solve 15 = -3*h, -f = 2*f - i*h + 5 for f.
-5
Suppose 0 = 55*y - 50*y + 5. Let i be ((-2)/9)/(y*1/9). Solve 5*a + 6 = -i*w - 15, -3*w = -3*a for w.
-3
Let c = 9918 - 9918. Solve -5*x - 3*d + 30 = c, 0 = 2*d + 7 - 17 for x.
3
Suppose 125 = -4*r - 2*p - 3*p, 2*p + 122 = -4*r. Let d be 5*-1*r/(-50) - -8. Solve 2*u - 16 = 4*y, 2*y = d*u - 3*u - 8 for u.
0
Suppose -45*a + 41*a = -5*i + 37, 13 = 5*i + 4*a. Solve 3 = -8*w + i*w, -2*o + 2*w = -14 for o.
6
Let h(g) = 19*g - 16*g + 48 + 5*g + 51. Let a be h(-12).
|
{
"pile_set_name": "DM Mathematics"
}
|
) be the third derivative of -v*j**2 + 0*j**3 - 1/2*j**4 + 0*j + 1/20*j**5 + 0. Factor a(y).
3*y*(y - 4)
Let s(r) = 3*r**2 - 98*r + 1212. Let o be s(13). Suppose 3*i - 8*i = -15. Determine j, given that -6 + o*j**2 - 415*j**2 - i*j + 0 = 0.
-2/5, 1/2
Let q(y) = 5*y**2 - 12*y - 6. Suppose -24*l + 28*l - 4 = 0. Let k(d) = -4*d**2 - 37*d + 7*d**2 - 2*d**2 - 1 + 36*d. Let p(j) = l*q(j) - 6*k(j). Factor p(m).
-m*(m + 6)
Let n(z) = 112*z**3 + 3878*z**2 + 910091*z - 1835528. Let y(w) = 25*w**3 + 968*w**2 + 227523*w - 458882. Let d(g) = 4*n(g) - 18*y(g). What is k in d(k) = 0?
-479, 2
Find y, given that -2/3*y**2 - 8/15*y + 8/15 - 2/15*y**5 + 2/15*y**4 + 2/3*y**3 = 0.
-2, -1, 1, 2
Let q(d) = -37*d**2 + 26*d + 67. Let a be q(-3). Let x = a - -344. Solve x + 8/3*p + 4*p**4 - 4/3*p**5 - 4*p**2 - 4/3*p**3 = 0.
-1, 0, 1, 2
Let t(j) be the third derivative of -1/2*j**3 + 0*j + 52*j**2 - 7/96*j**4 + 11/240*j**5 + 0 + 1/840*j**7 + 7/480*j**6. Let t(y) = 0. Calculate y.
-4, -3, -1, 1
Let b(t) be the third derivative of 6*t**2 + 1/3*t**4 + 11/100*t**6 + 0 - t - 3/175*t**7 + 0*t**3 + 28/75*t**5. Suppose b(x) = 0. What is x?
-2/3, 0, 5
Suppose -1112 = 4*o - 1120. Let z(a) be the first derivative of -1/14*a**4 + 4 + 1/7*a**o - 2/7*a + 2/21*a**3. Factor z(x).
-2*(x - 1)**2*(x + 1)/7
Let w be 201/15 - (0 + -31 - -44). Factor -114/5*t**2 - 13718/5 + 2166/5*t + w*t**3.
2*(t - 19)**3/5
Suppose -34 = -12*o + 2. Factor -4*c**o - 6*c + 6*c - 7*c + 13*c - 2*c.
-4*c*(c - 1)*(c + 1)
Suppose -138 = 2*c - 25*c. Factor 268*t**2 - 139*t**2 - 138*t**2 + 3*t**3 + c*t.
3*t*(t - 2)*(t - 1)
Let h be (-6)/(-21) - ((-76)/28 + 1). Factor 1/2*z**h + 5/2*z - 3.
(z - 1)*(z + 6)/2
Factor -361/2 - 1/2*p**2 + 19*p.
-(p - 19)**2/2
Factor -136 + 132*v**2 - 282*v**2 - 44*v + 124*v**2 - 27*v + 2*v**3 - 57*v.
2*(v - 17)*(v + 2)**2
Let u be (72/(-25))/((-6)/15). Let c be (-34)/85*(-3)/3. Factor -c*d**2 + u*d - 162/5.
-2*(d - 9)**2/5
Let b be 1 + (0 - -1) + 0. Let u(p) = -2*p**3 + 45*p**2 + 22*p + 25. Let y be u(23). Factor -35*l**2 - 41*l**b - 22*l - 2*l + 80*l**y + 20.
4*(l - 5)*(l - 1)
Determine f so that 168 + 836*f**4 - 832228*f**5 + 132*f**3 + 832188*f**5 - 427*f**2 - 577*f**2 - 92*f = 0.
-1, -1/2, 2/5, 1, 21
Suppose 6*j = 8*j - 2. Suppose 5*i - 12 = 3*x + 15, -5*i - 4*x - j = 0. Factor o**3 - 3*o**4 - 4*o**3 + 3*o + 0*o**i + 3*o**2.
-3*o*(o - 1)*(o + 1)**2
Let y be (-121)/5 + 33 + 0. Determine m, given that -2/5*m**2 - 242/5 - y*m = 0.
-11
Let a(g) be the first derivative of -g**6/10 + 7*g**5/25 + 43*g**4/20 - g**3 + 1882. Find q, given that a(q) = 0.
-3, 0, 1/3, 5
Suppose 10*g + 99 - 419 = 0. Let t be 11/(847/(-1584))*g/(-3). Factor -1728/7*b**2 - 162/7*b**4 - t*b - 864/7*b**3 - 512/7.
-2*(3*b + 4)**4/7
Suppose -65 = -2*t - 35. Let w(c) = 7*c**3 - 40*c**2 - 3*c + 40. Let r(d) = -50*d**3 + 280*d**2 + 20*d - 280. Let u(o) = t*w(o) + 2*r(o). Factor u(v).
5*(v - 8)*(v - 1)*(v + 1)
Let i = 21104 + -21102. Let a(v) be the first derivative of 1/12*v**6 + 3/8*v**4 + 0*v**i + 0*v - 16 + 1/6*v**3 + 3/10*v**5. Determine w, given that a(w) = 0.
-1, 0
Let u be 291/24 - -3*(-4)/96. Suppose -u*l = -94 + 58. Find s such that 3*s**2 + 0 - 3/2*s**l + 9/2*s = 0.
-1, 0, 3
Determine q so that 22/9*q**3 - 2/9*q**5 - 2*q**2 - 20/9*q + 0 + 2*q**4 = 0.
-1, 0, 1, 10
What is s in -189/8*s**3 + 777/8 + 1281/8*s**2 - 3/4*s**4 + 2241/8*s = 0?
-37, -1, -1/2, 7
Let c(y) be the first derivative of -y**4/8 + 25*y**3/18 - 29*y**2/12 + 7*y/6 + 1160. Let c(x) = 0. What is x?
1/3, 1, 7
Let d(g) be the second derivative of 1/12*g**4 - 1/120*g**6 + 6 - g + 1/12*g**3 - 1/40*g**5 - 3/8*g**2. Factor d(h).
-(h - 1)**2*(h + 1)*(h + 3)/4
Let o(t) be the second derivative of 3*t**5/20 + 5*t**4/4 + 4*t**3 + 6*t**2 + 6602*t. Factor o(x).
3*(x + 1)*(x + 2)**2
Suppose 0 = -h, 5*y = -4*h + 9 + 16. Suppose -y*t + 21 = -19. Find z, given that -t*z**2 + 3*z**2 - z**2 + 50 + z**2 + 45*z = 0.
-1, 10
Let z(t) = t**3 + 19*t**2 - 52*t. Let u(c) = -c**3 - 8*c**2 + 53*c. Let a(m) = 7*u(m) + 6*z(m). Factor a(p).
-p*(p - 59)*(p + 1)
Let p(t) = 3*t - 57. Let d be p(21). Let v be d + 27 + 4*1. Factor 2*i**4 - 143*i + 290*i**2 + 125 + 15*i**4 - 145*i - v*i - i**5 - 106*i**3.
-(i - 5)**3*(i - 1)**2
Let n(d) = 4*d**2 + d - 2. Let l be n(1). Factor 284*b**l - 296*b**3 + 3*b**4 + 108*b - b**4 - 162.
2*(b - 3)**3*(b + 3)
Let n(q) be the third derivative of q**6/24 - 5*q**5/6 - 515*q**4/24 + 280*q**3/3 + 204*q**2. What is f in n(f) = 0?
-7, 1, 16
Let l(p) be the first derivative of -p**4/22 - 4*p**3/3 - 53*p**2/11 + 152*p/11 + 179. Factor l(r).
-2*(r - 1)*(r + 4)*(r + 19)/11
Suppose -9*x + 28743 - 6990 = 0. Determine d so that -3*d**2 + 1318 + x + 108*d + 4*d**2 - 819 = 0.
-54
Let h = -10067 + 10071. Let x(g) be the second derivative of 1/3*g**h - 1/42*g**7 + 0 - 2/5*g**5 + 0*g**2 + 1/6*g**6 + 0*g**3 - 9*g. Factor x(b).
-b**2*(b - 2)**2*(b - 1)
Let d(u) = 7*u**4 + u**3 + u**2 - u - 2. Let m(g) = -110*g**4 - 15*g**3 + 40*g**2 + 105*g + 70. Let l(a) = 15*d(a) + m(a). Factor l(z).
-5*(z - 4)*(z + 1)**2*(z + 2)
Let m be (-6 - (2 + -5))*8/(-6). Suppose m*j - 32 = -3*h, 3*j + h + h = 24. Suppose -8*y - 3*y**2 - 4 - 3*y**2 - 6*y**2 + j*y**2 = 0. What is y?
-1
Let f(c) be the second derivative of c**7/630 + c**6/360 + c**2/2 + 2*c + 1. Let m(v) be the first derivative of f(v). Factor m(o).
o**3*(o + 1)/3
Suppose -7*q - 5 = -26. Let b be 1/2 + 4*q/12. Factor b*w**2 + 1/2*w**3 + 0*w - 2.
(w - 1)*(w + 2)**2/2
Suppose -4*b**2 + 1/5*b**5 + 9/5*b + 2/5*b**4 - 2*b**3 + 18/5 = 0. What is b?
-3, -2, -1, 1, 3
Suppose -933*t - 4 = -935*t. Let n = -602/5 - -121. Factor 1/5*d**t + n*d + 0.
d*(d + 3)/5
Suppose -111 + 43 = 17*i. Let g be i/18*(-60)/30. Factor -4 - g*y**2 - 8/3*y.
-4*(y + 3)**2/9
Suppose 33*j - 35*j + v - 3 = 0, 2*j + 4*v - 32 = 0. Factor 0 - 26/11*p + 2/11*p**j.
2*p*(p - 13)/11
Let y be -2 + 42/24 + 9/4. Solve -10*g**2 - 11*g**2 - 14*g**y + 13*g**3 + 15*g + 12*g**3 - 5*g**4 = 0 for g.
0, 1, 3
Let x = 794/455 + -2/65. Let m = -155618/105 + 22274/15. Factor -6/7 + m*d - 24/7*d**2 + x*d**3 - 2/7*d**4.
-2*(d - 3)*(d - 1)**3/7
Let y(u) be the first derivative of -u**3 + 1281*u**2 - 10630. Let y(o) = 0. What is o?
0, 854
Let m(z) be the second derivative of -z**7/14 - 79*z**6/10 + 9*z**5/20 + 239*z**4/4 + 79*z**3 + 360*z. Let m(w) = 0. Calculate w.
-79, -1, 0, 2
Suppose 4*x + 91 = -g, -2*g = -6*g + 3*x - 345. Let q = g - -90. Let 1/5 + 6/5*s**q - 6/5*s - 1/5*s**2 = 0. Calculate s.
-1, 1/6, 1
Factor 8904/5*y - 4955076/5 - 4/5*y**2.
-4*(y - 1113)**2/5
Let i(d) be the third derivative of -d**6/180 - 4*d**5/3 + 41*d**4/3 - 496*d**3/9 - 2258*d**2. Factor i(r).
-2*(r - 2)**2*(r + 124)/3
Let u = 1411 + -1381. Let s be 2*93/u + -6. Factor 1/5*k**5 + 0*k**4 + 0*k - s*k**3 + 0 + 0*k**2.
k**3*(k - 1)*(k + 1)/5
Let a = -5 - -11/2. Let q = 111551/2 + -55775. Factor 1/8*f**2 + a*f + q.
(f + 2)**2/8
Let r(d) be the third derivative of -3/160*d**6 + 3*d**2 + 3/32*d**4 + 11*d + 0 - 1/4*d**3 + 1/80*d**5 + 1/280*d**7. Solve r(m) = 0.
-1, 1, 2
Let i(c) be the first derivative of 2*c**7/21 + 34*c**6/15 - 18*c**5/5 + 116*c + 121. Let a(u) be the first derivative of i(u). Solve a(g) = 0 for g.
-18, 0, 1
Let o(p) be the third derivative of -p**5/40 + 3*p**4/2 - 35*p**3 - 983*p**2. Factor o(n).
-3*(n - 14)*(n - 10)/2
Let k be (-50)/(-6) + 299 + -292. Factor k*t - 2*t**2 + 16/3.
-2*(t - 8)*(3*t + 1)/3
Let v(s) be the third derivative of s**6/320 - 27*s**4/64 - 27*s**3/8 + 25*s**2 + 5. Factor v(l).
3*(l - 6)*(l + 3)**2/8
Let g(z) be the first derivative of z**6/180 - 19*z**5/60 - 5*z**4/3 + 22*z**3 - 19. Let m(d) be the third derivative of g(d). Find x such that m(x) = 0.
-1, 20
Suppose 133*x**2 + 136 - 608*x + 4*x**4 - 136*x**3 - 49 + 153 + 367*x**2 = 0. Calculate x.
1, 2, 30
Let v(r) be the first derivative of r**7/280 + 3*r**6/160 - r**5/40 - 3*r**4/8 - r**3 + 57*r**2 + 10. Let f(c) be the second derivative of v(c). Factor f(s).
3*(s - 2)*(s + 1)*(s + 2)**2/4
Let f(b) be the first derivative of b + 3*b**4 + 2/15*b**6 + 4 - 14/3*b**3 - b**5 + 4*b**2. Let p(o) be the first derivative of f(o). Solve p(x) = 0 for x.
1, 2
Let k(z) be the third derivative of 45*z**8/112 - 89*z**7/14 - 329*z**6/24 - 13*z**5/12 + 55*z**4/12 + 941*z**2. What is d in k(d) = 0?
-1, -1/3, 0, 2/9, 11
Let z(f) be the third
|
{
"pile_set_name": "DM Mathematics"
}
|
2947 + 2.677. Let o = i + -1.39. What is o rounded to three dps?
-0.008
Suppose -5*i + 1995653 = d, -4*d + i + 7982543 = -2*i. Let k = -1120695 + d. Let q = 74943 - k. What is q rounded to the nearest 100000?
-800000
Let w = -656 + 655.998464. Round w to 4 dps.
-0.0015
Let d = 0.1584 - 0.139. Let u = -2.0756 - d. Let m = u + 2.1. Round m to two dps.
0.01
Let v(k) = k**2 + 20*k - 15. Let u be v(-21). Suppose -u*h = -133174 - 1826. What is h rounded to the nearest one thousand?
23000
Let o(m) = m. Suppose -4*t - 8 = 4*n, -t + 0*n = -2*n - 13. Let v be o(t). Suppose -v*p + 346 = -32. What is p rounded to the nearest ten?
130
Let d = -25678885 - -44068885. Suppose -d = 4*c - c. Round c to the nearest 1000000.
-6000000
Let z be (43*(-81 - -3))/(24/60). Round z to the nearest one thousand.
-8000
Let t = -3.15 - -3.1. Let z = -5.519 + 5.468996. Let d = z - t. Round d to five dps.
0
Let y = -1708 - -1707.99525. Round y to two dps.
0
Let w(l) = l - 1. Let c be w(-2). Let f = c + 5. Suppose 0 = f*y + 1287832 - 387832. Round y to the nearest 100000.
-500000
Let o = -179.16 + -0.84. Let f = 49.47120279 + 130.52879868. Let s = f + o. Round s to seven decimal places.
0.0000015
Let n = -107.19 - -107. Let g = 0.27 - n. Round g to 1 decimal place.
0.5
Let n(s) = -1532*s**3 - 14*s**2 - 24*s + 50. Let t be n(11). Round t to the nearest 100000.
-2000000
Suppose 400 = -0*z + z - 3*f, 396 = z - f. Let y = z + -130. Suppose -5*m + 5*q = -4*m - 104, -3*m - q = -y. What is m rounded to the nearest 10?
90
Let x = 41 - -4. Let r = -25 + x. Let y = r + -19.9999996. What is y rounded to seven dps?
0.0000004
Let l = 0.41 - 16.41. Let m = -15.99999988 - l. Round m to seven decimal places.
0.0000001
Let a be 1/((15/(-9))/5). Let u = 9 - 13. Let v be (1110/u)/(a/12). What is v rounded to the nearest 100?
1100
Let m = -323 + 322.133. Let k = 5.673 + -5.7. Let h = k - m. Round h to 1 dp.
0.8
Suppose m - 9353064 - 9846952 = 4*a, -4 = a. Round m to the nearest one million.
19000000
Let w = 490.8775 - 2.1175. Let l = -475 + w. Let c = 14 - l. What is c rounded to 1 decimal place?
0.2
Suppose 334021 = b - 334892. Let m = b - 138913. Round m to the nearest one hundred thousand.
500000
Let t = 2.06 + 117.94. Let w = t + -119.9919. Round w to 3 dps.
0.008
Let u = -41 - -25. Let r = -16 - u. What is r rounded to the nearest 10?
0
Let y = 1130 - 1130.0002676. What is y rounded to five dps?
-0.00027
Let l = -37 + 35.1. Let x = l - 0.42. What is x rounded to 1 dp?
-2.3
Let a = 4721 - 2822. Let t = a - 1883.048. Let d = t - 16. What is d rounded to two decimal places?
-0.05
Let x = -1045.9999479 - -1046. What is x rounded to 5 decimal places?
0.00005
Let f = -30 - -20. Let w = -8.7 - f. Let m = w - 1.248. What is m rounded to 2 decimal places?
0.05
Let c = -561.1265 - -561. Let i = c + -1.0791. Let g = 1.2 + i. What is g rounded to three dps?
-0.006
Let x = -0.035 - -3.335. Let u = x + -3.300006. Round u to 6 decimal places.
-0.000006
Let a = -0.14 - -0.59. Let y = -0.32 + a. Round y to one decimal place.
0.1
Let p = 44.198 - -0.302. Round p to the nearest ten.
40
Let i be (-18)/30 + -2*(-390740012)/40. What is i rounded to the nearest one hundred thousand?
19500000
Let i = 413 + 774. Let b = 1187.02473 - i. Let a = -0.025 + b. Round a to 4 decimal places.
-0.0003
Let m = -0.244398 - -0.2864048. Let f = -0.042 + m. Round f to 6 dps.
0.000007
Let g = -272.0000047 - -272. What is g rounded to six dps?
-0.000005
Let g be 1 + 3 + (-827 - 1). Let s = g - -384. What is s rounded to the nearest one hundred?
-400
Let d = 95.09 + -0.09. Let w = d + -57. Let a = 37.9971 - w. Round a to three dps.
-0.003
Let j = -97334864.9999999 - -97334841. Let c = 24 + j. Round c to 6 dps.
0
Let m = -53.99035 - 0.09965. What is m rounded to the nearest ten?
-50
Let x = 111.7903 + -15.8407. Let m = x + -96. What is m rounded to 3 decimal places?
-0.05
Let q = -104.497032 - -110.497. Let k = 6 - q. What is k rounded to 5 dps?
0.00003
Suppose -5*i - 10959980 = -5*y, -33*i = -38*i + y - 10959996. What is i rounded to the nearest 100000?
-2200000
Let o = 0.01251242 + -1144.61601242. Let t = -1145 - o. Let p = t + 0.4. Round p to 3 dps.
0.004
Suppose 0 = 5*x - 4*y + 16, 4*x - 2*x = 3*y - 5. Let v(d) = -222*d**3 + 6*d**2 + d. Let a be v(x). Round a to the nearest 1000.
14000
Let l = -10.5 + 9. Let h = 2.58 + l. Let g = h - 0.9. What is g rounded to one decimal place?
0.2
Let p = 2032.999997821 + -2033. Round p to 7 dps.
-0.0000022
Let i be (-5)/(-20)*2*2. Let g(p) = -7*p**2 + 2. Let o be g(i). Round o to 0 decimal places.
-5
Let f be 10/14 + (-6)/(-21). Let q be (-15000)/(f/(-1583 - -3)). What is q rounded to the nearest one million?
24000000
Let j = -1519 - -1613.7. Round j to the nearest 10.
90
Suppose v - 30 = -4*v. Let h = 10 - v. Suppose -2*u - 2000 = -3*z, 5*z + 1374 = -h*u - 2626. What is u rounded to the nearest ten thousand?
0
Let s = -0.32697 + 0.3437. Round s to 3 decimal places.
0.017
Let n be (28/(-4) - -11) + 0 + 0. Suppose 0 = n*p + 16, -p = -5*k + 14222694 + 1677310. Round k to the nearest 100000.
3200000
Let o = 68093.796395 - 68094. Let m = 0.2275 + o. Let d = m - 0.024. What is d rounded to 5 dps?
-0.00011
Let q = -7.9 - -7.90788. What is q rounded to 4 dps?
0.0079
Let t = 31 - 26. Suppose u = -t*s + 17, -3*s - 2 = -3*u - 5. Suppose 0 = u*p + p - 34200000. Round p to the nearest one million.
11000000
Let b = -1.01804044 + 0.957036. Let c = -0.061 - b. Round c to six decimal places.
0.000004
Let y = -59 + 61.3. Let l = y - 3. Let t = -0.70000055 - l. Round t to 7 dps.
-0.0000006
Let z = -3843.5282 + 3847.12819473. Let p = z + -3.6. Round p to 6 decimal places.
-0.000005
Suppose -3*s + 9 - 3 = 0. Suppose c + 12 = -s*c. Let l be c/(-14) - (-1889994)/21. What is l rounded to the nearest ten thousand?
90000
Let w = 656 - 656.1975. What is w rounded to 2 dps?
-0.2
Suppose 0 = 8*a - 6*a - 6. Suppose -a*i = -549 + 123. Suppose -1 = -q, -3*z + 2*q - i = 4*q. Round z to the nearest ten.
-50
Let h = 3.2 - 6.8. Let w = h - -19.6. Let u = w - 16.0000057. What is u rounded to 6 dps?
-0.000006
Let x = 0.01484 - 0.01. Round x to three dps.
0.005
Let f(k) = -27957*k**2 + 15*k - 2. Suppose 21 = 13*y - 16*y. Let d be f(y). What is d rounded to the nearest 100000?
-1400000
Let v = -2279664 + 2279647.00001. Let g = 17 + v. Round g to five dps.
0.00001
Let j = 5.88 + 0.12. Let l = 6.85 - j. Round l to 1 decimal place.
0.9
Let w = 10.6 + 120.4. Let v = 131.0078 - w. Round v to 3 decimal places.
0.008
Let z be 22*(-33819)/(-6) + -3. Suppose 11*a - 6 = 12*a. Let l be a*(-9)/((-108)/z). What is l rounded to the nearest 10000?
-60000
Let d = -2.95 + 5.02. Let g = 436610.92871 + -436613. Let j = d + g. What is j rounded to four dps?
-0.0013
Let x(w) = w**2 + 10*w + 7. Let i be x(-9). Let k be (i/(-3))/(5/(-330)). Let l = k + -26. What is l rounded to the nearest ten?
-70
Suppose 4*u = -n + 1961, 0*n + 4*n = -3*u + 1487. Suppose 6*k - u = 243. Suppose -11*y = -9*y - k. Round y to the nearest ten.
60
Let o = -4.0279 + 4. Round o to 3 decimal places.
-0.028
Let q be (-2)/((-4)/8913995) - (-50)/20. Round q to the nearest one million.
4000000
Let i = -154 + 154.351. What is i rounded to 2 dps?
0.35
Let a(c) = -1486*c**2 + 36*c**2 - 1217*c**2 - 5*c. Let f be a(-15). Round f to the nearest one hundred thousand.
-600000
Let s = -11.3 - -80.3. Let m = s + -68.999999968. What is m rounded to 7 dps?
0
Let x = -32 + 43.8. Round x to the nearest integer.
12
Let x(n) be the second derivative of -n**4/12 + 5*n**3/2 - 15*n**2/2 + 4*n. Let v be x(12). Let w be 8 + -6 - (v - -2). What is w rounded to the nearest ten?
-20
Let t = -3 + 0. Let h(g) = g**3 + 3*g**2 - 5*g - 3. Let r be h(t). Let l be r/(-66) - 11659996/22. What is l rounded to the nearest 100000?
-500000
Let r(n) = 43*n**3 + 4*n**2 + 5*n + 4. Let k be -8 + ((-14)/(-2) + -1)/(-2). Let i be r(k). Round i to the nearest 10000.
-60000
Let q(b) = -72*b**3 + 5*b**2 - 2*b - 5. Let m be q(4). Let c = m + 2741. Let p be 8850/9*c/(-6). Round p to the nearest 10000.
300000
Let i = 1900 + -2022.6. Round i to the nearest 10.
-120
Let u = 5635.23 - 5668. Let s = 33 + u. Let l = -0.204 + s. Round l to 2 decimal places.
0.03
Let p be (62/4)/(5/(-10)). Let f = p - -90. Let z = 0 - f. Round z to t
|
{
"pile_set_name": "DM Mathematics"
}
|
33
Solve 403*o + 2559 + 5296 - 23267 = 12798 for o.
70
Solve 40*w - 105*w = 5*w + 292 + 2438 for w.
-39
Solve 55*i - 321*i = 117*i + 143*i - 35*i for i.
0
Solve -3398 = -466*n - 5728 for n.
-5
Solve -2144 = -1082*k - 315 + 17647 for k.
18
Solve -13*u - 58 = 1 + 19 for u.
-6
Solve 0 = 583*q + 545583 - 587559 for q.
72
Solve -1354 - 1302 = 83*s for s.
-32
Solve -4767 = -70*r - 3577 for r.
17
Solve 805*x - 59533 - 35658 = -201 for x.
118
Solve 2094*o = 407*o - 16870 for o.
-10
Solve 26*f + 66*f - 57*f = -79*f - 3192 for f.
-28
Solve 6010*w = 1107*w + 900*w - 2564*w - 768339 for w.
-117
Solve 0 = 2376*j - 1854 + 3989 + 6610 + 759 for j.
-4
Solve -4309 - 1513 + 3267 = -289*p + 5248 for p.
27
Solve -61*q - 21337 = 55*q + 117*q + 798 for q.
-95
Solve -149*m - 12322 - 8107 = -715*m - 93*m for m.
31
Solve -21448*l = 872008 + 3029188 - 1005716 for l.
-135
Solve -1222*n + 41002 = -2301*n for n.
-38
Solve 361*b - 17120 = -5130 + 4255 for b.
45
Solve 75*w + 83 = -1378 - 1389 for w.
-38
Solve 2587*i + 12428 = -44486 for i.
-22
Solve -178*m - 325*m - 9821 = -737*m + 11005 for m.
89
Solve -28250 - 6528 = 1118*r + 9416 + 8352 for r.
-47
Solve -128856 - 67723 + 60911 = -2144*d - 465*d for d.
52
Solve 481*v + 33*v = -882*v + 344*v + 16832 for v.
16
Solve 745*l = 141585 - 162445 for l.
-28
Solve -35*j - 24*j - 11438 = 74*j for j.
-86
Solve 1991*t - 205 = 2043*t + 1364 + 1031 for t.
-50
Solve 30966579*t - 30966456*t - 123 = 0 for t.
1
Solve 1314*v + 37220 + 70507 - 939 = -20670 for v.
-97
Solve -18*y - 13*y = 5*y + y + 2701 for y.
-73
Solve 73*a + 100*a - 3485 + 573 = 69*a for a.
28
Solve 1871*r - 35440 = 28174 for r.
34
Solve -664 = -97*m - 42*m - 59*m + 5672 for m.
32
Solve o - 15814 = -31546 + 15772 for o.
40
Solve 12175*j + 580834 + 332291 = 0 for j.
-75
Solve -1586*m - 36317 = 7477 + 4103 + 80569 for m.
-81
Solve -834*a = 8106 + 29424 for a.
-45
Solve -1331*b + 7158 = -99322 for b.
80
Solve 5246*i + 18168 = -2816 for i.
-4
Solve 198*y - 283*y - 6540 = 442*y + 19810 for y.
-50
Solve -5321 = -3476*k - 171601 - 63136 for k.
-66
Solve 1779*c + 1898*c - 1184*c + 4881 = -2388*c for c.
-1
Solve 227*g - 1020*g = 2516*g + 3493*g + 326496 for g.
-48
Solve -125*g - 1926 - 5 + 271 = 41*g for g.
-10
Solve 912*t - 38338 = 1573*t for t.
-58
Solve -1134*d + 1432*d = -10728 for d.
-36
Solve -2373*l - 37400 = -3473*l for l.
34
Solve -465*t + 88953 - 55387 + 66380 = 361*t for t.
121
Solve -6329*h + 940 = -6058*h - 25889 for h.
99
Solve -131*l - 137*l + 4971 - 13547 = 0 for l.
-32
Solve 134*u + 2292 = 1855 + 8075 for u.
57
Solve 0 = -5733*p + 304971 + 278727 + 46932 for p.
110
Solve 2603*p - 1105*p = 1215*p - 20942 for p.
-74
Solve 2594*s - 111184 = -17400 + 7382 for s.
39
Solve -9289*k - 1186*k + 295070 = 5055*k for k.
19
Solve 639*x = -604*x + 63377 + 21147 for x.
68
Solve 153*c - 237661 = -236284 for c.
9
Solve -650*k + 85053 - 9430 = 725*k + 234*k for k.
47
Solve 242*h - 5070 = -162*h - 103*h for h.
10
Solve 399*m + 262*m = 101*m + 2240 for m.
4
Solve -61*u + 283760 - 284919 = 0 for u.
-19
Solve 0 = 837*u + 8896 - 6385 for u.
-3
Solve -1194*r + 19123 + 7580 = 225*r - 430*r for r.
27
Solve 1456 = 346*m + 4573 + 1342 + 4191 for m.
-25
Solve 202*d + 817*d + 2041*d - 158548 = 11*d for d.
52
Solve -93*x = 884*x + 179*x - 23120 for x.
20
Solve -12054 = -91948*k + 92095*k for k.
-82
Solve 60*s + 1827 = 3*s - 30*s for s.
-21
Solve -520*h - 15083 - 56459 = -7062 for h.
-124
Solve -1962*d + 2134*d - 16030 + 2786 = 0 for d.
77
Solve 3177*a = 992*a - 1761*a - 315680 for a.
-80
Solve -31315*a = -30182*a - 145024 for a.
128
Solve -10*k = 51*k + 18*k - 3397 for k.
43
Solve -87091 + 35250 = 203*r - 35398 for r.
-81
Solve 495*t - 39098 = -907*t + 404*t + 27768 for t.
67
Solve -122*c - 232*c + 2722 = -4843 - 4471 for c.
34
Solve 13*o + 2*o + 30 = 134*o - 208 for o.
2
Solve 47*n = -16408488 + 16409898 for n.
30
Solve 547*b + 2676 = -56947 for b.
-109
Solve 0 = -763*c - 1816*c - 5158 for c.
-2
Solve -855*c - 71 - 2116 = -275 + 653 for c.
-3
Solve -292*p + 165*p - 3348 = -189*p for p.
54
Solve 406 + 1244 = -550*j for j.
-3
Solve 203*j - 63*j = -98*j - 251*j - 25917 for j.
-53
Solve -18441 + 19696 = 526*o + 48069 for o.
-89
Solve -697*a - 213*a = -35490 for a.
39
Solve 10 - 2035 - 327 = -98*c for c.
24
Solve 137*d = 37*d - 1221 - 872 - 807 for d.
-29
Solve 413*q - 24*q = -1589 - 12804 for q.
-37
Solve -13545*n = -13375*n - 10030 for n.
59
Solve -472*z = -197*z + 1060*z + 53400 for z.
-40
Solve 21541 = -96*m + 10985 + 12476 for m.
20
Solve 131904*b - 39015 = 132363*b for b.
-85
Solve 9766*k + 121632 = -370*k for k.
-12
Solve -2647*t + 43828 = -744*t + 1962 for t.
22
Solve -67881121 = -174*z - 67891735 for z.
-61
Solve -4110*k = -3997*k - 2486 for k.
22
Solve -18565 = 1457*m + 25964 + 44348 for m.
-61
Solve -588*x + 206222 = 1309*x - 87*x + 316*x for x.
97
Solve 722 + 136 = 78*d for d.
11
Solve -337*y = 9530 + 14854 + 7631 for y.
-95
Solve -11301 = 38*q - 12783 for q.
39
Solve 84 = -10*a - 188 - 71 - 57 for a.
-40
Solve -10*q - 9396 + 9141 = 5*q for q.
-17
Solve 74*w + 43*w - 82*w - 105 = 0 for w.
3
Solve 1812139*l + 2320 = 1812197*l for l.
40
Solve 12642 + 6798 = 247*k - 4*k for k.
80
Solve 1007441 = -88*z + 1011929 for z.
51
Solve 1101*h - 2393*h = -1068*h + 19264 for h.
-86
Solve -4334*g + 4330*g + 271 = 43 for g.
57
Solve -37*i + 6450 + 4638 = 15*i + 32*i for i.
132
Solve 10534*i + 8141*i - 44577 = -151625 - 98377 for i.
-11
Solve 155*x + 44*x + 164*x + 2773 = -19370 for x.
-61
Solve -6*i + 86023 = 85609 for i.
69
Solve -761*r + 1718*r = -1799*r + 292136 for r.
106
Solve 16825 = -832*b + 75632 + 16073 for b.
90
Solve 72*t + 30*t = -74*t + 139*t + 444 for t.
12
Solve -9362 = -213*m - 13196 for m.
-18
Solve 465875 = -386*r + 449663 for r.
-42
Solve 528*g - 193*g = 226*g + 219*g + 14630 for g.
-133
Solve -327 = 156*v + 609 for v.
-6
Solve 137*t = 27*t - 3441 + 801 for t.
-24
Solve 218*k - 1423 + 5008 = -3173 for k.
-31
Solve -1267*d - 4749*d = 3281*d + 2188*d - 849890 for d.
74
Solve -1345 - 2418 = 74*v + 386 + 957 for v.
-69
Solve 61*y - 165*y + 86*y = -522 for y.
29
Solve 706 = -24*g + 142*g - 2853 - 2931 for g.
55
Solve -b = -96*b - 471 - 3994 for b.
-47
Solve 2074*d + 144*d - 380952 = -2666*d for d.
78
Solve 306*d = -70*d - 189*d - 4384 + 21899 for d.
31
Solve 88*w + 2148 - 3003 = -2948 - 3539 for w.
-64
Solve 35*q - 103*q + 1119 = 235 for q.
13
Solve 1745*f + 3805 = 332 - 17 for f.
-2
Solve 74021*v - 73826*v - 780 = 0 for v.
4
Solve -274*r - 225*r + 38106 = 158*r for r.
58
Solve -93*s + 16873 + 10001 = 1400*s for s.
18
Solve -232 - 1968 - 40 = -64*i for i.
35
Solve 171*i - 2102 + 246 = 880 for i.
16
Solve 377*f - 665 = 221*f + 137*f for f.
35
Solve 0 = -4424*r - 42543 - 492761 for r.
-121
Solve 0 = 1377*r + 21737 + 14065 for r.
-26
Solve 7116*p - 14050*p + 25138 = -7692*p - 12004 for p.
-49
Solve -8377*f - 14984 = -54687 - 52444 for f.
11
Solve -163*k + 1327*k - 19126 + 2084 = 57454 for k.
64
Solve 0 = -1130*u - 42335 - 2865 for u.
-40
Solve -115*a + 2249 + 1121 = 452 - 1682 for a.
40
Solve 267*t + 58*t - 5129 + 904 = 0 for t.
13
Solve 2055*i + 4798*i + 411962 = -321309 for i.
-107
Solve -98*o = 1017 - 2090 - 1377 for o.
25
Solve -161*y - 18981 = -147*y - 347*y for y.
57
Solve 89*d + 716 = -471*d + 8556 for d.
14
Solve 22820 = 1120*l - 27392 - 8028 for l.
52
Solve -10108 = 1012*u - 19216 for u.
9
Solve 3171 - 180 = 314*s - 64*s - 1759 for s.
19
Solve -1073*o = -119*o - 2506 - 8942 for o.
12
Solve 1097*d + 285384 - 273317 = 0 for d.
-11
Solve -67636 + 72340 = 96*h for h.
49
Solve 1899*c - 411*c = 96720 for c.
65
Solve -2020*o - 9225 = 8955 for o.
-9
Solve -280*b = -619*b + 131*b + 287 - 1327 for b.
-5
Solve -45216 = -1284*l + 35501 + 33559 for l.
89
Solve -628*d - 360 = -335*d - 329*d for d.
10
Solve -167 + 78 = 299*c - 388 for c.
1
Solve 167*t = -8*t - 1145*t - 120569 - 33871 for t.
-117
Solve -320*q - 254*q + 3548 = -815*q + 10296 for q.
28
Solve -723*d + 8735 + 35689 - 3030 = -14277 for d.
77
Solve -1032*d - 69*d - 56192 = 655*d for d.
-32
Solve 2181*t - 28105 = -383*t - 150*t + 159*t for t.
11
Solve -498*h = -800*h - 12986 for h.
-43
Solve 503*a + 796 = -273*a - 504*a - 1764 for a.
-2
Solve -457*r + 11565 = -714*r for r.
-45
Solve -976 = -53*x + 840 - 703 for x.
21
Solve -13638 + 316
|
{
"pile_set_name": "DM Mathematics"
}
|
2*b + 5*b - a. Suppose -b*k + 208 = 33. What is the tens digit of k?
3
Let v(i) = 2*i - 12. Let p(w) = -7. Let h(a) = -4*p(a) + v(a). Let m(o) = o**3 + o**2 - o. Let j be m(2). What is the tens digit of h(j)?
3
Suppose 0 = -4*f - 2*m, m = -m. Suppose 5*q = -f*q + 20. Suppose -q*x = x - 505. What is the tens digit of x?
0
Let z(o) = 22*o**2 - 24*o + 186. What is the tens digit of z(-15)?
9
Let w(d) = d**3 + 14*d**2 + 7*d - 25. Let b be w(-12). Suppose -b*x + 174*x = -110. What is the tens digit of x?
2
Suppose 1239657 = -41*r + 3618436. What is the ten thousands digit of r?
5
Let a be (-21 - -4491)*4/(16/6). Suppose 21269 = 44*t + a. What is the hundreds digit of t?
3
Let c be (-12)/8*2*-10. What is the units digit of (-1677)/(-21) + c/(-35)?
9
Let f be -326*(1/2 + 0). Suppose -3*k - 600 = 4*k + 18*k. Let y = k - f. What is the hundreds digit of y?
1
Suppose -27*w + 10640 = -41*w. Let z = w - -1804. What is the thousands digit of z?
1
What is the units digit of (456/56 - 8)*283577?
1
Suppose 18610 = -33*u + 106984. Let f = -1497 + u. What is the thousands digit of f?
1
Let k(y) = -53*y + 12. Let c(g) = 1. Let p(h) = 3*c(h) - k(h). Let w(t) = -t**3 - 26*t**2 - 57*t - 211. Let z be w(-24). What is the units digit of p(z)?
6
Let r(k) = -k**2 - 20*k - 70. Let t be r(-15). Suppose 1416 = t*g - 1334. Let o = -341 + g. What is the hundreds digit of o?
2
Suppose -19*z - 54 = 706. What is the units digit of (-5)/(z/12)*(-3 - -55)?
8
Suppose 12 = 13*o - 10*o. Let v be 1/o - 6984/(-96). Let q = 204 - v. What is the tens digit of q?
3
Let d = -58270 - -93773. What is the thousands digit of d?
5
Let s(h) = -h**3 - 15*h**2 - 41*h - 35. Let v be s(-16). Suppose -1019 - v = -4*c. What is the hundreds digit of c?
4
Let m = -3568 - -5336. What is the units digit of m?
8
Suppose -4*w = -4*p + 28, -4*w - 5*p + 4*p = 3. What is the units digit of (-9)/(w - (-415)/210)?
8
Let n = 67 + -67. Let a = 491 + n. Suppose o - 85 = -3*b, 2*b - 32 + a = 5*o. What is the units digit of o?
1
Let j be -6*(-5)/(-5) + (1 - -1). Let h be (-2)/j + (-1385)/(-2). Suppose 10*u - u = h. What is the units digit of u?
7
Let w(r) = 65096*r - 825. What is the units digit of w(1)?
1
Suppose 33 + 57 = 3*m. Suppose -8582 = 16*w - m*w. What is the tens digit of w?
1
Let o(g) be the first derivative of 2*g**3 + 9*g**2/2 - 41*g + 72. What is the hundreds digit of o(5)?
1
Suppose -4*f = 4*u - 0*f - 30712, 0 = 3*f + 9. Suppose 3*v = -4*w - u, 0 = 2*v + v + 9. What is the tens digit of w/(-21) - (-1)/(-3)?
9
Suppose 0 = -2*x - 4*d + 22934 + 5280, 0 = -4*x - 3*d + 56418. What is the hundreds digit of x?
1
Let d(a) = -2*a**3 - 92*a**2 + 14*a + 1016. What is the units digit of d(-47)?
6
Let w(p) = -p + 11. Suppose -15*s = -11*s - 32. Let n = -3 + s. What is the units digit of w(n)?
6
Suppose 2*a = 5*m - 381, 3*m + 4*a - 36 = 203. Suppose 75*j = m*j - 1104. What is the units digit of j?
2
Suppose 0*u + 12 = 2*u. Let y be 3 - u - (-192 + 4/(-2)). What is the tens digit of (-3 + y/(-1))/(-2)?
9
What is the tens digit of 4234 - (-120)/((-90)/9)?
2
Suppose 19*y - 6751 = 507. Let t = 683 - y. What is the tens digit of t?
0
Let f(h) = 54*h**2 - 99 + 8 - 47*h**2 - 10*h. What is the units digit of f(13)?
2
Let p = -33303 - -50766. What is the thousands digit of p?
7
Let k(c) = -c**2 - 37*c - 328. Let v be k(-15). Suppose 0*p + g - 471 = -v*p, p - g - 243 = 0. What is the hundreds digit of p?
2
Let m = 5248 + 2477. Suppose 32*z + m = 20141. What is the hundreds digit of z?
3
Let h(o) = -3*o**3 + 3*o**2 + 5*o + 4. Let v be h(-2). Suppose 3*k = d + 6 + 3, -3*d = -k - 5. Let b = v - k. What is the units digit of b?
6
Suppose -1270852 + 2958570 = 102*m - 1778140. What is the tens digit of m?
7
Let u be 56 + (3/(-7))/(-3)*7. Suppose -2836 = -7*l - u. What is the hundreds digit of l?
3
Let l(s) = 502*s**3 + 13*s**2 - 54*s + 146. What is the ten thousands digit of l(5)?
6
Suppose -6*n + 54 - 240 = 0. Let t = n - -29. What is the tens digit of (-35)/t*(-80)/(-28)?
5
Let s(x) = -1 + 2*x + 3*x**2 - 7 - 2 - 3. Suppose -z - 23*z + 96 = 0. What is the tens digit of s(z)?
4
Let q(h) = 57*h**2 - 240*h + 8761. What is the ten thousands digit of q(32)?
5
Let h(q) = 37 - 148*q - 25 + 22*q - 29. What is the hundreds digit of h(-4)?
4
Suppose 3*s - 14 = 3*d - 2, 4*s + 3*d = 9. Suppose -32 = -0*z - 4*z + 4*j, z = s*j + 16. What is the units digit of z?
4
Let m = 15722 + -641. What is the thousands digit of m?
5
Suppose 151 = -2*k - 5*d - 37, 0 = 3*k - d + 316. Let j be -1 + 4/((-12)/75). Let s = j - k. What is the units digit of s?
8
Suppose -2*r + 12464 = -2*g, -2*g + 18671 = -21*r + 24*r. What is the units digit of r?
7
Suppose -60*v + 53*v + 742 = 0. Suppose -v*b + 111*b = q + 7732, 4*b = -5*q + 6174. What is the tens digit of b?
4
Let y(j) be the third derivative of -7*j**4/6 + j**3/6 + 8*j**2. Let m be y(2). Let z = -44 - m. What is the units digit of z?
1
Let o = 61 - 58. Let d be (o + (-21)/9)/((-1)/3). What is the units digit of (6*5/d)/(30/(-200))?
0
Suppose -3*t + 27 = -0*t. Suppose 0 = -9*v - t*v + 1440. What is the tens digit of v?
8
Let w(z) be the second derivative of 53*z**3/6 + 69*z**2/2 - 2*z + 96. What is the tens digit of w(10)?
9
Suppose 1384 = 4*c + 2*t, 2*c - 3*t + 31 = 731. Let l = c - 29. Let x = -223 + l. What is the units digit of x?
5
Let k be 0 - 84/(-15) - 2/(-5). What is the hundreds digit of (-1240)/(-6) - (-8)/k?
2
Let h(c) = -c**3 - 23*c**2 - 23*c + 6. Let l(f) = f**3 - 41*f**2 - 2*f + 59. Let j be l(41). What is the hundreds digit of h(j)?
5
Let o = -74 + 86. Let q(r) = -o*r - 14*r + 27 + 2*r**2 + 29*r. What is the hundreds digit of q(-8)?
1
Suppose -4*x - 999 = -4*n + 177, 4*x = -n - 1166. Let h = 113 - x. Let r = -219 + h. What is the units digit of r?
6
Suppose 0 = -551*w + 711*w - 2269440. What is the ten thousands digit of w?
1
Let s be (-42)/4*(-2 - 24/(-18)). Let q(r) = -r**3 + 8*r**2 + 17*r - 41. What is the tens digit of q(s)?
2
Let b(x) = -315*x - x**3 + 13*x**2 + 11 + 272*x + 10*x**2. What is the tens digit of b(10)?
8
What is the units digit of ((-18178)/8)/((184/(-32))/23)?
9
What is the hundreds digit of (-310)/2325 + 82862/15?
5
Let i = 3406 - 2504. What is the tens digit of i?
0
Suppose 4*i - 2*i = 3*f + 3196, 3*f + 3194 = 4*i. Let s = 1900 + f. What is the tens digit of s?
3
Let s = 37 + -37. Suppose 3*h - 6 - 36 = s. Suppose 0 = 2*f + 4 - h, 5*f - 187 = -2*p. What is the units digit of p?
1
Suppose -30*n + 24*n = 0. Suppose n = -4*z + y - 121, -z = -5*z + 5*y - 109. Let h = z + 44. What is the tens digit of h?
1
Let a(r) = -84*r - 270. Let l be a(-3). What is the tens digit of (1160/3)/(l/(-27))?
8
Let x = 6869 + -4378. What is the thousands digit of x?
2
Let u = -12032 + 23913. What is the ten thousands digit of u?
1
Let k = -59 - -99. Suppose -k = -3*a - 2*g + 46, 0 = -4*a + 3*g + 126. Suppose -26*r + a*r - 356 = 0. What is the units digit of r?
9
Suppose 21*y = 324836 + 158668. What is the ten thousands digit of y?
2
Let i be (498/(-4))/(-1)*4. Suppose -35 = -37*n + 76. Suppose 92 - 392 = -3*z - 3*b, 5*z = -n*b + i. What is the units digit of z?
9
Suppose -3*d = -14 - 103. Let n(h) = h**3 - 12*h**2 + 9*h + 25. Let r be n(11). Suppose -d = r*q - 4*q. What is the units digit of q?
9
Let i(o) = 743*o**2 - 1. Let p = 593 + -592. What is the tens digit of i(p)?
4
What is the units digit of 14/(-259) + 20979060/1110?
0
Let k = 30735 - 28023. What is the thousands digit of k?
2
Suppose -5*r + 2*p = -186, 3*r + 3*p = -10 + 130. Let m be r*(-1)/2*1. Let b = m + 40. What is the units digit of b?
1
Let n(x) = x - 1. Let t be n(15). Suppose -8*b - t = -b. What is the tens digit of ((4 - b)/(-12))/(2/(-44))?
1
Let l(s) = s**2 + 12*s - 11. Let u be 1 - 1 - (2 - -15). What is the units digit of l(u)?
4
Let y(f) be the third derivative of 0 - 31*f**2 + 0*f + 29/60*f**5 + 1/6*f**4 - 13/6*f**3. What is the hundreds digit of y(3)?
2
Suppose -5*a = 3*n - 4889, -5*a + 2958 = -4*n - 1910. Suppose -964*r - 6624 = -a*r. What is the tens digit of r?
5
Let a(i) = i**3 - 10*i**2 - 5*i - 1. Suppose -70 = 3*r - 37. Let y(h) = h**2 + 10*h + 1. Let l be y(r). What is the tens digit of a(l)?
2
Suppose -16*a + 17*a + 15 = 2*s, -s = -5. Suppose 0 = -5*r - 2*k + 33, -6*k = 4*r - k - 40. What is the hundreds
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by 86?
76
Calculate the remainder when 3475 is divided by 19.
17
What is the remainder when 365 is divided by 25?
15
What is the remainder when 143 is divided by 9?
8
What is the remainder when 635 is divided by 106?
105
What is the remainder when 670 is divided by 84?
82
Calculate the remainder when 48 is divided by 25.
23
What is the remainder when 328 is divided by 14?
6
What is the remainder when 1539 is divided by 10?
9
Calculate the remainder when 146 is divided by 119.
27
What is the remainder when 5326 is divided by 378?
34
What is the remainder when 116 is divided by 38?
2
What is the remainder when 1545 is divided by 83?
51
What is the remainder when 1227 is divided by 9?
3
Calculate the remainder when 222 is divided by 32.
30
Calculate the remainder when 361 is divided by 91.
88
Calculate the remainder when 1397 is divided by 14.
11
Calculate the remainder when 491 is divided by 82.
81
Calculate the remainder when 1713 is divided by 49.
47
What is the remainder when 391 is divided by 14?
13
What is the remainder when 29271 is divided by 51?
48
What is the remainder when 71 is divided by 4?
3
Calculate the remainder when 11158 is divided by 31.
29
What is the remainder when 158 is divided by 81?
77
Calculate the remainder when 32 is divided by 12.
8
What is the remainder when 977 is divided by 35?
32
What is the remainder when 155 is divided by 12?
11
Calculate the remainder when 788 is divided by 18.
14
What is the remainder when 449 is divided by 118?
95
Calculate the remainder when 429 is divided by 27.
24
Calculate the remainder when 215 is divided by 7.
5
Calculate the remainder when 668 is divided by 219.
11
Calculate the remainder when 413 is divided by 13.
10
Calculate the remainder when 1169 is divided by 90.
89
What is the remainder when 2141 is divided by 306?
305
Calculate the remainder when 229 is divided by 59.
52
What is the remainder when 144 is divided by 62?
20
What is the remainder when 6916 is divided by 23?
16
What is the remainder when 22299 is divided by 10?
9
Calculate the remainder when 234 is divided by 87.
60
Calculate the remainder when 120 is divided by 11.
10
Calculate the remainder when 5032 is divided by 90.
82
What is the remainder when 31 is divided by 13?
5
What is the remainder when 4756 is divided by 13?
11
What is the remainder when 1094 is divided by 5?
4
Calculate the remainder when 308 is divided by 82.
62
What is the remainder when 329 is divided by 72?
41
Calculate the remainder when 1590 is divided by 20.
10
Calculate the remainder when 163 is divided by 55.
53
What is the remainder when 1566 is divided by 60?
6
Calculate the remainder when 125 is divided by 78.
47
Calculate the remainder when 455 is divided by 74.
11
Calculate the remainder when 300 is divided by 97.
9
What is the remainder when 202 is divided by 51?
49
What is the remainder when 242 is divided by 58?
10
What is the remainder when 256 is divided by 88?
80
What is the remainder when 336 is divided by 68?
64
What is the remainder when 56 is divided by 12?
8
What is the remainder when 2938 is divided by 31?
24
Calculate the remainder when 596 is divided by 10.
6
Calculate the remainder when 439 is divided by 21.
19
What is the remainder when 10358 is divided by 22?
18
What is the remainder when 499 is divided by 50?
49
What is the remainder when 2469 is divided by 95?
94
What is the remainder when 292 is divided by 61?
48
What is the remainder when 291 is divided by 78?
57
What is the remainder when 129 is divided by 61?
7
What is the remainder when 1514 is divided by 257?
229
Calculate the remainder when 1296 is divided by 1271.
25
What is the remainder when 61 is divided by 40?
21
What is the remainder when 9269 is divided by 61?
58
What is the remainder when 79 is divided by 14?
9
Calculate the remainder when 379 is divided by 59.
25
Calculate the remainder when 304 is divided by 18.
16
Calculate the remainder when 383 is divided by 51.
26
Calculate the remainder when 180 is divided by 51.
27
What is the remainder when 183 is divided by 161?
22
What is the remainder when 1502 is divided by 5?
2
Calculate the remainder when 1970 is divided by 27.
26
Calculate the remainder when 1329 is divided by 38.
37
Calculate the remainder when 98 is divided by 30.
8
Calculate the remainder when 6502 is divided by 217.
209
Calculate the remainder when 1426 is divided by 26.
22
What is the remainder when 1728 is divided by 35?
13
Calculate the remainder when 163 is divided by 22.
9
Calculate the remainder when 314 is divided by 63.
62
Calculate the remainder when 800 is divided by 101.
93
Calculate the remainder when 789 is divided by 17.
7
What is the remainder when 16881 is divided by 12?
9
Calculate the remainder when 1040 is divided by 263.
251
Calculate the remainder when 52 is divided by 20.
12
What is the remainder when 124 is divided by 31?
0
Calculate the remainder when 119 is divided by 14.
7
Calculate the remainder when 2486 is divided by 30.
26
Calculate the remainder when 51868 is divided by 273.
271
Calculate the remainder when 263 is divided by 69.
56
What is the remainder when 273 is divided by 28?
21
Calculate the remainder when 586 is divided by 40.
26
What is the remainder when 179 is divided by 105?
74
What is the remainder when 1136 is divided by 228?
224
Calculate the remainder when 369 is divided by 53.
51
Calculate the remainder when 204 is divided by 86.
32
Calculate the remainder when 223 is divided by 31.
6
What is the remainder when 535 is divided by 176?
7
What is the remainder when 768 is divided by 282?
204
Calculate the remainder when 89 is divided by 30.
29
Calculate the remainder when 10451 is divided by 59.
8
What is the remainder when 271 is divided by 83?
22
Calculate the remainder when 1757 is divided by 580.
17
Calculate the remainder when 581 is divided by 173.
62
Calculate the remainder when 298 is divided by 76.
70
What is the remainder when 34 is divided by 14?
6
Calculate the remainder when 153 is divided by 136.
17
Calculate the remainder when 377 is divided by 367.
10
Calculate the remainder when 1580 is divided by 59.
46
What is the remainder when 286 is divided by 92?
10
Calculate the remainder when 453 is divided by 8.
5
Calculate the remainder when 157 is divided by 18.
13
What is the remainder when 2450 is divided by 164?
154
Calculate the remainder when 338 is divided by 34.
32
What is the remainder when 1032 is divided by 256?
8
Calculate the remainder when 1033 is divided by 16.
9
What is the remainder when 177 is divided by 51?
24
What is the remainder when 754 is divided by 740?
14
What is the remainder when 1935 is divided by 20?
15
What is the remainder when 83 is divided by 4?
3
Calculate the remainder when 350 is divided by 11.
9
Calculate the remainder when 643 is divided by 21.
13
What is the remainder when 1186 is divided by 132?
130
Calculate the remainder when 41 is divided by 29.
12
What is the remainder when 1040 is divided by 69?
5
What is the remainder when 1487 is divided by 34?
25
Calculate the remainder when 86 is divided by 30.
26
Calculate the remainder when 225 is divided by 7.
1
What is the remainder when 771 is divided by 202?
165
Calculate the remainder when 282 is divided by 73.
63
Calculate the remainder when 315 is divided by 16.
11
What is the remainder when 4729 is divided by 28?
25
What is the remainder when 115 is divided by 63?
52
|
{
"pile_set_name": "DM Mathematics"
}
|
eplacement from zpppzpppyypyppzzy. Give prob of picking 1 p and 2 y.
27/340
Calculate prob of picking 1 m and 2 s when three letters picked without replacement from mmlmlsscfmcl.
1/55
What is prob of picking 3 z when three letters picked without replacement from zsszszzzzszszz?
3/13
Three letters picked without replacement from hhppphphhhhhhp. What is prob of picking 1 p and 2 h?
45/91
Two letters picked without replacement from hhfthhthhhfh. What is prob of picking 2 h?
14/33
Calculate prob of picking 1 i and 2 m when three letters picked without replacement from {i: 4, m: 3, t: 5, q: 1, k: 1}.
3/91
What is prob of picking 1 v and 1 c when two letters picked without replacement from pccvcccpcvc?
14/55
Two letters picked without replacement from {j: 5, o: 2}. What is prob of picking 1 o and 1 j?
10/21
Four letters picked without replacement from giiggkijgiqgqq. Give prob of picking 2 q and 2 g.
30/1001
Three letters picked without replacement from lrollollloolllooll. Give prob of picking 1 o and 2 l.
55/136
Calculate prob of picking 2 z when two letters picked without replacement from {f: 3, u: 3, z: 3, q: 1, n: 7, k: 2}.
1/57
What is prob of picking 1 n and 1 q when two letters picked without replacement from {q: 2, n: 1, g: 2, u: 1}?
2/15
Three letters picked without replacement from yyrrrrcyr. Give prob of picking 3 y.
1/84
Three letters picked without replacement from {d: 4, j: 3, b: 2, g: 1}. Give prob of picking 2 d and 1 g.
1/20
What is prob of picking 2 l when two letters picked without replacement from {q: 4, z: 1, o: 1, l: 6, b: 1}?
5/26
Two letters picked without replacement from {e: 1, f: 1, o: 2, h: 2, q: 5, v: 2}. What is prob of picking 1 q and 1 e?
5/78
Two letters picked without replacement from nmntnnmtm. Give prob of picking 2 n.
1/6
Calculate prob of picking 3 z and 1 v when four letters picked without replacement from {g: 1, v: 1, z: 7}.
5/18
What is prob of picking 1 v and 2 p when three letters picked without replacement from tvppvvvpvgvov?
21/286
What is prob of picking 3 w and 1 j when four letters picked without replacement from {j: 6, w: 12}?
22/51
Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {g: 1, k: 7}.
3/8
Calculate prob of picking 1 b, 1 z, and 1 w when three letters picked without replacement from {b: 2, z: 4, u: 3, w: 8}.
8/85
What is prob of picking 1 f, 1 n, and 2 l when four letters picked without replacement from lynflflfnlnllfllnlfl?
60/323
Calculate prob of picking 3 p when three letters picked without replacement from fpfppfpffpffffpffff.
20/969
Four letters picked without replacement from wzols. What is prob of picking 1 z, 2 s, and 1 l?
0
What is prob of picking 2 d when two letters picked without replacement from {i: 3, d: 4, r: 1}?
3/14
Three letters picked without replacement from hdhhhdjddp. Give prob of picking 3 h.
1/30
What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 1, d: 1, a: 1}?
1/3
Four letters picked without replacement from {z: 1, o: 1, p: 1, e: 1, u: 2, q: 1}. Give prob of picking 1 p, 1 e, 1 u, and 1 o.
2/35
Calculate prob of picking 2 w when two letters picked without replacement from nnnnnnnwnnnwnnnwnwn.
2/57
Four letters picked without replacement from {m: 3, b: 5, s: 5, z: 2, p: 1}. What is prob of picking 1 b, 1 m, and 2 s?
15/182
What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 1, n: 2, o: 2}?
1/5
Three letters picked without replacement from {n: 1, w: 3, u: 1, e: 1, o: 2, r: 3}. What is prob of picking 1 e, 1 n, and 1 o?
2/165
Three letters picked without replacement from btdhbhhbhhhd. Give prob of picking 2 b and 1 d.
3/110
What is prob of picking 3 y when three letters picked without replacement from yyy?
1
Three letters picked without replacement from {h: 9, v: 1, a: 1, p: 6, k: 2}. What is prob of picking 1 a, 1 h, and 1 p?
18/323
Calculate prob of picking 2 p when two letters picked without replacement from msrpxgp.
1/21
Calculate prob of picking 1 v and 2 f when three letters picked without replacement from {v: 2, f: 2}.
1/2
What is prob of picking 3 t and 1 k when four letters picked without replacement from {k: 5, t: 7}?
35/99
Four letters picked without replacement from pzbbzzbtttzzb. Give prob of picking 2 z and 2 b.
12/143
What is prob of picking 1 m and 2 a when three letters picked without replacement from eemeeeaaeaaae?
5/143
What is prob of picking 1 c, 1 i, and 1 j when three letters picked without replacement from izzczcjiciizz?
6/143
Calculate prob of picking 1 x, 1 k, and 2 w when four letters picked without replacement from kxxxwkaaxexnwkxxxxxe.
2/323
Calculate prob of picking 1 k, 2 b, and 1 w when four letters picked without replacement from {w: 3, k: 3, n: 3, b: 6}.
9/91
Two letters picked without replacement from nnpp. What is prob of picking 2 p?
1/6
Two letters picked without replacement from rlllrttrhtlttt. Give prob of picking 1 r and 1 t.
18/91
Two letters picked without replacement from wmfmfmffwwwwwfh. Give prob of picking 1 w and 1 m.
6/35
What is prob of picking 1 z and 1 j when two letters picked without replacement from jszjzezssj?
1/5
Two letters picked without replacement from {w: 1, g: 1, a: 1, l: 1, n: 1}. What is prob of picking 1 a and 1 w?
1/10
Three letters picked without replacement from zzzzzhaahhhhzz. What is prob of picking 3 z?
5/52
Calculate prob of picking 3 k when three letters picked without replacement from ckkcttktkkttkkttkkt.
28/323
Calculate prob of picking 1 h, 1 x, and 1 k when three letters picked without replacement from xbkhl.
1/10
Calculate prob of picking 1 t and 1 n when two letters picked without replacement from tpn.
1/3
Four letters picked without replacement from affffffafiffffifif. Give prob of picking 2 f and 2 i.
13/170
Two letters picked without replacement from eeekeeleeoeeoekeeenn. Give prob of picking 2 e.
39/95
Two letters picked without replacement from {j: 13, l: 6}. What is prob of picking 1 l and 1 j?
26/57
Four letters picked without replacement from wdwwwvwwlvwl. Give prob of picking 2 v, 1 d, and 1 l.
2/495
Three letters picked without replacement from wlluwllwylwllwwuw. What is prob of picking 3 w?
7/136
Two letters picked without replacement from yyynbybn. What is prob of picking 1 b and 1 n?
1/7
Calculate prob of picking 4 y when four letters picked without replacement from {w: 10, y: 4}.
1/1001
Two letters picked without replacement from {l: 4, q: 10}. Give prob of picking 1 q and 1 l.
40/91
Calculate prob of picking 3 e when three letters picked without replacement from {i: 3, e: 17}.
34/57
Calculate prob of picking 3 g and 1 r when four letters picked without replacement from grrrgrmgyrgrrrr.
12/455
What is prob of picking 2 p, 1 k, and 1 b when four letters picked without replacement from kkpbkkpp?
6/35
What is prob of picking 2 b when two letters picked without replacement from zzbbbbebzz?
2/9
Two letters picked without replacement from yyyayyyayyyyyyyyyyya. Give prob of picking 1 a and 1 y.
51/190
Two letters picked without replacement from {n: 1, u: 2, b: 4, t: 1, h: 3, l: 1}. What is prob of picking 1 l and 1 h?
1/22
What is prob of picking 1 f and 1 c when two letters picked without replacement from bwwfprrfcbcrfb?
6/91
Two letters picked without replacement from avdvdavwdsssavdcas. Give prob of picking 1 d and 1 c.
4/153
Two letters picked without replacement from rsqldlrd. Give prob of picking 2 r.
1/28
What is prob of picking 2 a when two letters picked without replacement from aai?
1/3
Two letters picked without replacement from {q: 4, p: 2, c: 6, t: 3, h: 2}. What is prob of picking 1 q and 1 p?
1/17
Calculate prob of picking 4 t when four letters picked without replacement from pwttpwxthhhtpptxt.
3/476
Four letters picked without replacement from sssvsvssssv. What is prob of picking 4 s?
7/33
Two letters picked without replacement from uzzuuuzyuzy. Give prob of picking 2 y.
1/55
Three letters picked without replacement from {n: 2, v: 1, x: 6, s: 3}. What is prob of picking 1 v and 2 s?
3/220
Two letters picked without replacement from sjsjjkt. Give prob of picking 1 j and 1 s.
2/7
Four letters picked without replacement from eeeaeoaoooeee. What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
2). Let u(s) = 269*s**2 + 345*s**2 + s**3 + 0*s + 5*s - 609*s**2. Calculate u(k).
3
Suppose -2 = 2*f - 3*f. Let o(p) = 4093 + 56*p - 60*p + p**3 - 4088. Calculate o(f).
5
Let m(x) = 11*x**2 - x + 1. Suppose 3 = 28*y - 25*y. Suppose -6*w + 5 + y = 0. What is m(w)?
11
Let b(s) = -4*s**3 - s + 1. Let c(p) = -23*p**3 - 5*p + 7. Let v(t) = 2*t**2 + 12*t + 15. Let z be v(-4). Let u(a) = z*c(a) + 6*b(a). Determine u(2).
-11
Suppose 3*z + 16 = -3*g + 7*g, g - 4 = 0. Let r(c) = 1 + c - 5 + z*c. Suppose -19*j + 8*j - 70 = -j. Calculate r(j).
-11
Let j(a) = -a**2 - 84*a + 3. Suppose 3*p + 12 = -2*u, 2*p = -106*u + 101*u - 8. Determine j(u).
3
Suppose 4*s + 2*n + 0*n = -40, 0 = 4*s + 5*n + 52. Let t(i) = 33*i**2 - 14*i + 10. Let l(p) = 14*p**2 - 7*p + 5. Let c(o) = -7*l(o) + 3*t(o). What is c(s)?
3
Suppose -4*q + 4 = 4*d, -d + q + 4 = -q. Let w(z) = 4*z**3 - d - 3*z**2 - 1 - 4*z - z**2 + 9*z**3 - 15*z**3. Calculate w(-2).
5
Let a be (-5)/2*(-42 + 46). Let n be ((-288)/30 - -6)/(4/a). Let b(i) = i - 1. Give b(n).
8
Let c be ((-6)/10)/((-180)/25 - -7). Suppose l = c*i - 3 - 4, 4*l + 20 = 4*i. Let u(v) be the first derivative of -11*v**3/3 + v**2/2 - 3. Calculate u(i).
-10
Let n = 318 + -318. Let d(j) = 5*j - j + n + 6*j**2 - 9 + j**3 + 2. What is d(-3)?
8
Suppose -32 = 11*i + 23. Let n(w) = -2*w - 3. Let u(g) = -1 - 4*g - 2 + 2*g. Let s(b) = -6*n(b) + 7*u(b). Calculate s(i).
7
Suppose -n - 3*n = -3*a + 23, -4*a = 2*n - 16. Let k(f) = 2*f - 7. Let v(i) = i - 3. Let s(p) = -k(p) + v(p). Determine s(n).
6
Let x(p) = -p**3 - 15*p**2 - 26*p + 8. Let z be 4*(697/(-68) - -7). Calculate x(z).
8
Let d = 0 + 1. Let u(l) = -15*l**2 + 3. Let c(j) = -33*j**2 + 3. Let i(a) = 35*a**2 - 1. Let n(h) = -3*c(h) - 2*i(h). Let y(r) = -2*n(r) - 5*u(r). Give y(d).
16
Let a(z) = z + 4*z - 6*z - 34 + z - 4*z. Calculate a(-9).
2
Let g(u) = 25*u**3 - 7*u**2 + 2*u + 60. Let m(d) = -d**2 + d + 15. Let r(p) = g(p) - 4*m(p). Calculate r(-1).
-26
Suppose 0 = -2*q - 0 + 14. Suppose -q*u + 17 = -4. Suppose w = -4*l - 6, 0*l + 18 = -3*w - u*l. Let c(i) = i**3 + 5*i**2 - 3*i + 3. Calculate c(w).
-15
Let x(w) = 4*w**2 - 4*w - 3. Let n(s) = s**2 - 2. Let q(z) = 5*n(z) - x(z). Let m(j) = -j - 2. Let u be m(6). Let i = u + 2. Determine q(i).
5
Let x(d) be the first derivative of d**7/840 + 7*d**6/360 - d**5/24 + 3*d**4/8 - 85*d**3/3 - d**2 + 198. Let w(c) be the third derivative of x(c). Give w(-8).
-15
Let k(i) = -i**3 + 30*i**2 + 506*i - 88. Let j be k(42). Let s(l) = 6*l + 14. Determine s(j).
-10
Let x(h) = -691*h - 14. Let c(n) = 1497*n + 30. Let t(p) = -6*c(p) - 13*x(p). Suppose 4*g = 2*g + 10. What is t(g)?
7
Let g(x) = -7*x + x - 8*x + 11*x - 7. Let k(r) = -4*r + 10. Let m be k(-9). Let u = 41 - m. Calculate g(u).
8
Suppose 0 = 16*m - 63*m - 94. Let o(c) be the first derivative of 2*c**3/3 - c**2/2 - 2*c - 3. Calculate o(m).
8
Let w(n) be the second derivative of -n**4/12 + 31*n**3/6 - 119*n**2 - 4606*n. Calculate w(18).
-4
Let s(g) = 3*g + 16 + 18 + 43 - 89. Calculate s(8).
12
Suppose -2*w = 0, t = -t + 5*w + 10. Suppose t*q = -j - 3, 3*j - 43 = -2*j + 4*q. Let k(z) = -z - 9. Let r(c) = -c. Let h(a) = k(a) - 2*r(a). Calculate h(j).
-2
Let b(j) = 3*j**3 - 3*j**2 + 365*j. Let l(q) = 2*q**3 - 2*q**2 + 182*q. Let t(s) = -3*b(s) + 5*l(s). Let i(g) be the second derivative of t(g). Calculate i(3).
16
Suppose 0 = -2*j + 68*o - 63*o - 4, 13 = 3*j + 2*o. Let q(l) = -l**2 - 4*l**j - 9*l + 5 - 2*l**2 + 3*l**3 + 2*l**3 + 2*l**2. What is q(3)?
-4
Let l(q) = -3*q - 2. Let r(c) = c**3 + 2*c**2 - 8*c - 2. Let v be r(2). Determine l(v).
4
Let r(w) be the third derivative of -w**5/60 - w**4/2 - 11*w**3/2 + 2897*w**2. Calculate r(-4).
-1
Let x(v) = 0 + 0 + v + 4. Let y = 2145 + -2145. Determine x(y).
4
Let g(h) = h**2 + 12*h + 8. Let n be ((-72)/45)/(3/(-75)). Suppose 0 = -69*c + 73*c + n. What is g(c)?
-12
Let m = -77076 - -77076. Let s(a) be the second derivative of -a**5/20 + a**4/12 + a**3/6 + 8*a**2 + a. What is s(m)?
16
Let z be (0 - 4)/(-12)*9. Suppose -z*y + 3 = -6, -5*y = 4*c - 31. Let q(s) = 0*s**3 - 2 - 5*s + 4*s - c*s**2 + 0*s**3 + s**3. Give q(4).
-6
Let t be (-2)/3 - ((-50)/(-625) + 338/150). Let l(j) be the third derivative of j**6/120 + j**5/15 + j**4/12 - j**3/3 + 5*j**2. What is l(t)?
1
Suppose 2*w + 60 = 4*w. Suppose 32*b - w*b - 18 = 0. Let i(a) = -2*a + 3. Determine i(b).
-15
Let z = -14 + 43. Suppose -1228 = 42*f - 94. Let i = f + z. Let v(q) = -7*q + 3. Give v(i).
-11
Let x be 5/((-20)/(-72)) - 3. Let l = -14 + x. Let k(r) = 12*r + 1. Let n(a) = a. Let t(s) = k(s) - 4*n(s). Give t(l).
9
Let s be ((-36)/(-48))/((-7 - 2)*(-1)/6). Let i(k) be the first derivative of s*k**2 - 19 - 7*k. Give i(4).
-3
Suppose -4*r + 331 = 63. Let l = 72 - r. Let n(z) = -2 + 5 + l*z - 3. Calculate n(1).
5
Let z be (-150)/4*(4 - (-70)/(-15)). Let o(r) = 1 + r + z*r**3 - 5*r**2 - 2*r - 24*r**3. Calculate o(5).
-4
Let h(r) = 12*r**2 + 405*r - 96. Let f be h(-34). Suppose -4*u - 3*m + 17 = 0, -5*u + 2*m - 30 = -10*u. Let s(j) = 7 - u*j + j**2 - j**2 + j**2. Calculate s(f).
-5
Let y(l) = -52*l**2 + 1. Suppose c = 5*m + 10, 17 = -6*c + 2*c + m. Let n be 4 + (c - -7)/(6/(-15)). Give y(n).
-51
Let m(g) = g**3 + 7*g**2 + 6*g + 6. Let h(p) = p**3 - 22*p**2 - 48*p - 1. Let c be h(24). Let o be -1 + c/2 + (-85)/2. Let b = 38 + o. Determine m(b).
6
Suppose 2*o + 1 - 5 = 0. Suppose -2 = -o*q + 4. Suppose q*z - 7 = 5. Let n(p) = -2*p - 1. Give n(z).
-9
Let v(s) = 1921 + s**2 - 954 + 10*s + 14*s - 928. Calculate v(-22).
-5
Suppose -c - 4 = -2*w + 8, -3*w = -4*c - 28. Let x = 41 - 40. Let f(r) = r. Let j(a) = 5*a - 9. Let t(k) = x*j(k) - 4*f(k). What is t(w)?
-5
Let s be -4 + (2*-3 - -3). Let u be s/14 + (21/(-2))/(-3). Suppose 0 = u*r + 25 - 1. Let k(j) = -j**3 - 9*j**2 - 7*j + 5. Give k(r).
-3
Let r(z) = 2*z**3 + 3*z**3 - 9*z**2 + 14 - 12*z - 7*z - 4*z**3 + 18*z. Determine r(9).
5
Let v(z) be the first derivative of z**4/4 + 4*z**3/3 + 24*z + 2673. Calculate v(-5).
-1
Let s(b) = -b**3 - 30*b**2 + b + 13. Let k = 7934 + -7964. Give s(k).
-17
Let a(h) = h**2 + h - 2. Let p be 11/(11/12) - -3. Suppose -2*z - 197 = -5*s + 2*z, -5*z - p = 0. Let r = -42 + s. Give a(r).
18
Suppose 0 = -5*c + 3*t - 2515, 13*c = 16*c - t + 1513. Let o = 500 + c. Let h(m) = -m - 2. Give h(o).
4
Let s(p) be the second derivative of 5*p**2 - 4/3*p**3 + 1/12*p**4 + 47 - 3*p. Suppose a - 3 = -2*x, a - 3*a = -5*x - 24. Give s(a).
3
Let o(h) = 249*h + 115. Let j(s) = -155*s - 77. Let u(q) = 8*j(q) + 5*o(q). What is u(0)?
-41
Let j(l) be the third derivative of 0*l + 11/6*l**3 - 1/12*l**4 - 285*l**2 + 0. Determine j(5).
1
Let f(b) be the second derivative of -b**4/24 + b**3/6 - 83*b**2/2 + 53*b + 1. Let p(s) be the first derivative of f(s). Calculate p(4).
-3
Let t(c) = -c + 5. Let q(s) = -6 + 2*s - 26 + 14*s**2 - 13*s**2 + s. Let k be q(5). What is t(k)?
-3
Let o(l) = 3*l**2 + 21*l - 23. Let y be o(-8). Let a be -4 + (2 - 2) + y. Let w(j) = -j**2 - 3*j + 4. What is w(a)?
4
Let u(o) = -o**2 - 18*o + 102. Let v(d) = -d**2 + 67*d - 495. Let a be v(59). Calculate u(a).
-13
Let u(w) = w**3 + 12*w**2 + 21*w - 1. Suppose 0 = -140*y + 165*y + 275. What is u(y)?
-111
Let f(q) = 11*q - 4*q - 5*q - 3*q. Suppose 5*o + 2*h = -74, -5*o + 2*h - 57 = 9. Let n(g) = -g**3 - 15*g**2 - 13*g + 8. Let a be n(o). Calculate f(a).
6
Let z be (-2 - (4 + 2) - -4)*-5. Let x(r) = 7 - z + r**2 + 12. Determine x(-3).
8
Suppose -2*v - i + 7 = 0, 5*v - i - 18 = 3. Let t(r) = 35 - 2*r + 5*r - v*r - 31. Calculate t(0).
4
Let c(v) = -3*v + 48. Suppose 285 = 43*p - 40*p. Suppose o + 43 = 5*a - 28, -5*a + p = 5*o. Let b be c(a). Let t(h) = h**3 - h**2 - 3*h - 1. Give t(b).
8
Let c(g) = -g**3 - 11*g**2 + 13*g + 17. Let i = -129 - -132. Suppose 0 = i*m + 14 + 22. Determine c(m).
5
Let w(g) be the second derivative of g**5/20 - g**4/2 + g**3 + 4*g**2 + 4281*g. Calculate w(5).
13
Let i(c) = 29*c + 88. Let a(j) = -j**3 - 5*j**2 + 153*j + 625. Let g be a(-4). Determine i(g).
1
Let r(u) be the third derivative of 0 + 13*u**2 + 1/24*u**4 + 0*u**3 + 0*u. Let n = 41 + -47. Determine r(n).
-6
Suppose -117 = -15*u + 48. Let h(t) = 2*t**3 + 6*t**2 - 6*t - 1. Let d(p) = -2*p**3 - 11*p**2 + 11*p + 2. Let y(r) = u*h(r) + 6*d(r). Determine y(-1).
-9
Let x(r) be the third derivative of r**5/20 - r**4/8 +
|
{
"pile_set_name": "DM Mathematics"
}
|
(p). Solve -20 = 7*m - s*m for m.
-5
Suppose 0*o - 8*o = 12*o. Solve o = -3*n - 0*n + 21 for n.
7
Suppose -3*c = -4*y + 198, 3*y + 4*c = y + 88. Let z = -43 + y. Suppose -4*k - z*u = -9 - 1, -5*u = k + 5. Solve -k*o - 28 = -3 for o.
-5
Let a = -455 - -457. Suppose 4*d - 55 = -5*l, -a*d = -8*l + 4*l + 18. Solve l*g - 6 = 9*g for g.
-3
Let v be (8 - 2)/2 + -3 + 5. Suppose -5*q = x - 14, -4*q - x = -5*x + 8. Let s(i) = 4*i + 1. Let d be s(q). Solve d*t - 4*t = v for t.
1
Let o = 310 - 311. Let c be (-1 + ((-3)/(-9) - o))*6. Solve -z - c*z = 0 for z.
0
Suppose k = 319 - 316. Let u be ((-6)/(-4))/(6/16). Suppose 9*q = 10*q - 23. Solve -u*j + k = q for j.
-5
Suppose 3 = l - 4*f - 121, 4*l - 5*f = 573. Solve -112 = 10*s - l for s.
4
Let a(x) be the third derivative of -7*x**4/8 - 4*x**3/3 - 9*x**2. Let k be a(2). Let n = 53 + k. Solve u = n*u + 2 for u.
-1
Let z be 4 - 20*3/6. Let q be 20/15*(z/4)/1. Let f be ((-3)/q)/(14/28). Solve 4*l = f*l for l.
0
Let g(d) = d**2 + 8*d + 16. Let q be g(-6). Suppose 14 + 14 = q*u. Solve 9*x - 10 = u*x for x.
5
Suppose 2*n - 2*q - 6 = 0, n = -4*q - 43 + 31. Solve 104*x - 106*x + 2 = n for x.
1
Suppose -2*z = -9*z + 1008. Suppose 0 = -0*r + 4*r + 2*w + z, 4*r + w + 142 = 0. Let j = 48 + r. Solve -j + 4 = -3*m for m.
3
Let i(g) = -g - 7. Suppose 5*a - 2*s - 5 = 0, a - 4 = -4*s + 19. Suppose a*n = 4*o - 22, 7 + 7 = -2*n + 3*o. Let h be i(n). Solve 0 = h*f - 7*f + 20 for f.
5
Let m(r) = -r**2 - 10*r - 19. Let j be m(-7). Suppose 3*v + 0*z = z - 1, 2*v = z - j. Let y be 7/(42/3)*(13 - v). Solve -f - 2*f = -y for f.
2
Let m(k) = -k**2 - 16*k - 12. Let z be m(-10). Solve -177 - z = 45*h for h.
-5
Let g(j) = j**2 - 47*j + 572. Let b be g(21). Solve 6*u = b*u + 80 for u.
-4
Let r = 5466 - 5464. Solve 3 = h - r for h.
5
Suppose 258*z - 250*z - 624 = 0. Solve -z*l + 21*l - 228 = 0 for l.
-4
Let k be (-12)/(-60)*-3 + ((-256)/(-10))/1. Solve -22 + k = n for n.
3
Suppose -33*s = -22*s - 660. Suppose 500*y - 506*y + s = 0. Solve 2*x + y = 20 for x.
5
Suppose -3650 + 3481 = -13*w. Solve 0 = -w*n - 7*n + 40 for n.
2
Suppose -191 = -m + 5*j - 10*j, -4*m + 879 = -3*j. Suppose -8*b + m - 56 = 0. Solve -15*w = -b*w - 20 for w.
-4
Suppose 22*z - 24*z + 1116 = 2*q, 3*z = 5*q + 1682. Solve -z = 7*t - 559 for t.
0
Suppose -36*k = -2*k - 340. Suppose -2*z - 232 = -k*z. Solve 4*n + z = 9 for n.
-5
Let i be ((-3)/2)/((-12)/464). Suppose 5*t = -4*y + 58, -t = -3*y - 2*y + i. Solve 7*v - 3*v = -y for v.
-3
Let b(v) = 3*v + 36. Let q be b(-10). Suppose -190 = q*c - 208. Solve -3 = -c*r - 15 for r.
-4
Suppose 4*w + 5 = 21. Suppose -2*a + 11 + 6 = 5*q, -12 = -w*q. Solve 1 = -2*u - a for u.
-1
Suppose 5*x = 57 + 28. Let h = -20135 + 20146. Solve -2*i + x = h for i.
3
Suppose 2*y + m = 9, 5*m = y - 0*m - 21. Let f(s) = -s**3 + 15*s**2 - 40*s + 48. Suppose -111 = -15*c + 69. Let b be f(c). Solve b = 2*z - y - 4 for z.
5
Let d be (-9 + 16590/(-56))/((-3)/4). Solve 413 - d = 2*x for x.
3
Suppose -513 = -5*x - 5*s + 47, 799 = 7*x + 4*s. Solve -104*h = -x*h + 65 for h.
5
Let w = -6809 + 6836. Solve -22*n + w + 105 = 0 for n.
6
Suppose 7*g + 2781 = -11*g + 121*g. Solve g*k - 11 = -119 for k.
-4
Let j be (-41)/(-123) + ((-80)/6)/(-5). Solve j*q + 395 - 383 = 0 for q.
-4
Let q = 105 - 107. Let z be q/(-9) - 258/(-54). Suppose z*a + 5*k - 8 = 6*k, 4*a = k + 6. Solve -a*w = -w for w.
0
Suppose t + 13 = o, -2*o = -t - 16 - 5. Let x(y) = -y - 2. Let a be x(o). Let q be (-18)/9 - a/2. Solve 6 = q*l - 0*l for l.
2
Suppose 243*t - 239*t + 12 = -4*b, 0 = -3*b + 2*t + 6. Solve 11*j - 14*j - 6 = b for j.
-2
Let b = 17188 - 17186. Solve 0 = -b*d - 24*d + 182 for d.
7
Suppose -73 = -74*j + 286 - 63. Solve -j*o + 20 - 12 = 0 for o.
2
Let f = 224 + -213. Let g be (3*f)/(5 - -1 - 3). Solve -1 = -5*b - g for b.
-2
Let g(y) = 3*y**3 - 5*y**2 + 3*y - 4. Let o be g(2). Let f be o/(-24) + (1 - (-63)/12). Solve -q = -3*q + f for q.
3
Suppose 0 = -19*w + 51*w + 128. Let s be (-5)/(175/(-485)) + w/(-28). Solve 16*a = s*a - 4 for a.
-2
Suppose -10 = 5*m, -2*m = -0*l - 5*l + 59. Suppose 180 = l*c + 37. Solve 3*r + c = 1 for r.
-4
Let g = -2682 - -2705. Solve -g*d + 30 = -29*d for d.
-5
Suppose -734 = 2*v - 2*n, -564 = 3*v + 2*n + 517. Let a = 367 + v. Solve -g = -a*g - g for g.
0
Let v be 6/10 - 5/((-25)/532). Let q = -91 + v. Let z = -14 + q. Solve -6 = -5*x + z*x for x.
2
Let a = -7 + -1. Suppose -3*s + p + 7 - 77 = 0, -5*p - 18 = s. Let u = a - s. Solve 0 = -b - 4*b - u for b.
-3
Let p(b) = b**2 - 18*b - 15. Let k be p(19). Suppose -k*f - 326 = -2*j, -f - 21 = -5*j + 56. Let c = f + 82. Solve c = -3*d - 0 + 6 for d.
2
Let y(a) = 16*a + 163. Let f be y(-10). Solve -17 + 14 = f*z for z.
-1
Suppose 38*v = 15*v + 185 + 551. Solve v*x - 124 = x for x.
4
Suppose 0 = -4*y - 5*x + 69, 5*y - 2*x - 35 = 2*x. Let m = -130 + 130. Suppose m = -7*n + y*n. Solve n*d = -3*d + 3 for d.
1
Let k = -24687 + 24733. Solve 281*z - 304*z = -k for z.
2
Let k(q) = -11*q**3 + 8*q**2 + 7*q - 6. Let j be k(3). Let z = 214 + j. Solve 0 = z*h - 9*h for h.
0
Let k be (7*4/28)/(-1). Let i be (1/(2 - 3)*0)/k. Solve -6 = -2*v - i*v for v.
3
Suppose 1230*r - 1229*r - 13 = 0. Solve -5*z - r*z + 18 = 0 for z.
1
Let i = 140 - 63. Let u = i - 73. Suppose -u*a = 2*r + 10, 0*r - 4*a = 4*r + 8. Solve -y - r = 2 for y.
-3
Let y = 62 + -58. Let b(k) = -k**2 - 10*k + 22. Let l be b(y). Let m = 39 + l. Solve m*c + 7 + 13 = 0 for c.
-4
Suppose -79*w = 36*w - 690. Suppose -26 = 3*i + 5*c, -i + c = -0*c - 2. Let t(z) = -z**2 - 4*z - 1. Let d be t(i). Solve -d*l - w = -3 for l.
-1
Suppose 0 = 6*j - 3*j + 123. Let x = j - -59. Let i be ((27/2)/3)/(27/x). Solve -5*h = -i*h + 4 for h.
-2
Let q(c) = c**3 - 10*c**2 - 34*c + 138. Let u be q(12). Suppose u*r - 15*r - 2*i = 103, -78 = -3*r - 3*i. Solve 39 - r = -2*a for a.
-4
Suppose 0 = g + 2*s + 1618 - 2585, -2*s = 4. Solve 9*l - 1016 = -g for l.
5
Let j be 2 + (1 - 2) + 2. Suppose 2*l - j*l = -20. Suppose -12160*g = -12159*g - 5. Solve l = a - g*a for a.
-5
Let p(k) = -5*k**3 + 4*k**2 - 7*k - 3. Let m(v) = -v**3 - v - 1. Let t(g) = -4*m(g) + p(g). Suppose -2*a + 4 = -0. Let j be t(a). Solve 0 = 5*y + 7 + j for y.
-2
Let u(y) be the second derivative of -y**5/20 - y**4/4 + y**3/3 - 4*y**2 + 768*y. Suppose -4 = v - 0. Let w be u(v). Solve w = 4*t - 8*t for t.
0
Suppose -5*b + 4 + 11 = 0. Let m(s) be the first derivative of s**3/3 + 7*s**2/2 - 138*s + 81. Let n be m(9). Solve -f = -b*f - n for f.
-3
Let c = 118 + 47. Solve 0 = 168*d - c*d for d.
0
Let c be (-106)/14 + ((-24)/21)/(-2). Let j(n) = -n**2 - 10*n - 22. Let v be j(c). Let g be 0*(1 + 0)*(v + 2). Solve g = -0*l + 3*l for l.
0
Let a be 36/252 - 40/(-14). Suppose 5*x - 156 = -a*r + 4, 0 = 5*x + 2*r - 165. Solve -c + x = 6*c for c.
5
Let k = -2 + 5. Let g(f) = -604*f - 10 + f**2 + 609*f + 14 - 8. Let u be g(k). Solve a + u = -4*a for a.
-4
Let i(d) = -d**2 - d + 3. Let p = -11 + 11. Let t be i(p). Suppose 0 = -6*q + q + 5. Solve -q = t*y + 5 for y.
-2
Let j be (-8 + -4)/(2/3). Let k be (j/6)/((-4)/(-164)). Let u = k - -123. Solve u = -2*p + p - 3 for p.
-3
Suppose 4*v = 4*u - 40, -4*u + 28 - 3 = -v. Let b = 20193 + -20177. Solve -n + b = -u*n for n.
-4
Suppose -5*v + 35 = 5*x, 3*x + 2*v - 23 + 4 = 0. Let s(d) = -d**3 + 11*d**2 - 29*d + 7. Let h be s(x). Solve -h = 6*g + 18 for g.
-5
Let p(f) be the first derivative of f**4/2 + 3*f**3 - f**2 - f + 11. Let y be p(-4). Suppose -4*c - 3*g + 24 = 0, c + 0*c - y = -5*g. Solve 5*a - c*a = 8 for a.
4
Let j = -8175 + 8230. Solve -1 = 14*k + j for k.
-4
Let g = -52 + 21. Let a = 42 + g. Suppose 10*x = a*x. Solve 4*c - c + 15 = x for c.
-5
Let x be (1 - 0) + 4 - 0/(-295). Let t = 23 - 16. Solve t = -3*z - x for z.
-4
Let p = 276 - 275. Suppose 0 = -3*k - 4*h + 31, 5*k + h - 7*h - p = 0. Solve -k*n - 28 = -12*n for n.
4
Suppose 59 = 2*b + 5*j, -4*b - 3 = 15*j - 16*j. Suppose l + 3*n - 7 = 4*n, 5*n - 28 = -4*l. Solve -b*o - 20 = -l*o for o.
4
Let g = 59 + -59. Suppose -2*p - 2*p - 3*r + 87 = g, -p + 2*r + 8 = 0. Suppose p*a - 9*a = 0. Solve -4*b - 7 + 3 = a for b.
-1
Let g(d) = -d**2 - 2*d. Let x be g(-1). Suppose h - 2 = x. Let t = 1837 - 1837. Solve t*q - q = h for q.
-3
Suppose 4*l + 5*s = 22, 14 = 2*l + 294*s - 292*s. Solve -l*i + 38 = 12 for i.
2
Suppose 5*y - 2*q = 10, 5*y + 0*y =
|
{
"pile_set_name": "DM Mathematics"
}
|
0*x + g = -w, 4*w - 460 = -2*x. Let i = -3 + 33. Calculate the greatest common factor of x and i.
30
Suppose -2*z = -5 + 1, -f + 5*z = 85. Let d = f + 126. Suppose 5*o = d + 14. What is the greatest common factor of o and 78?
13
Let v(i) = i + 12. Let x be v(-8). Let a be x*(2 + 1)*1. Calculate the greatest common factor of a and 2.
2
Let j = -131 - -188. What is the highest common divisor of 76 and j?
19
Let k(w) = -w**3 + 2*w**2 - 4*w - 15. Let u be k(-3). What is the highest common factor of u and 714?
42
Let s(i) = i**2 + i - 3. Let z be s(-3). Let y = 9 - z. What is the highest common divisor of 42 and y?
6
Let t be -3*(-1 - -6)/(-5). What is the highest common factor of t and 111?
3
Suppose -b - 4*h = -22, 10*b - 14*b = 4*h - 28. Suppose 4*t + 5*o = 97, 5*o = -b*t - 17 + 58. Calculate the greatest common divisor of t and 28.
28
Let u(i) = 2*i**2 + 2*i - 2. Let b be u(-2). Let h = b + -2. Let q(w) = -w + 15. Let y be q(h). What is the highest common divisor of 3 and y?
3
Suppose 5*x + 2 = -a, 2*x = -9*a + 4*a - 10. Suppose 0 = h + 4*l + 1, h - 5 = -x*h - l. Calculate the highest common factor of 28 and h.
7
Let w(f) = -f**3 - 16*f**2 - 2*f - 36. Let y be w(-16). Let x(t) = 2*t + 10. Let g be x(y). Let k = -36 - -54. What is the highest common factor of g and k?
2
Let j(q) = -q**2 + 16*q + 18. Let r(d) = d**2 - d. Let k(s) = -j(s) - 2*r(s). Let x be k(-9). Calculate the greatest common factor of 18 and x.
9
Let r be 27/6 - 5 - 45/(-2). Let s(k) = -5*k**3 + k**2 - 2*k + 9. Let t be s(6). Let i be 3/4 + t/(-12). Calculate the greatest common divisor of r and i.
22
Let f = 1017 + -977. Calculate the highest common factor of 1180 and f.
20
Suppose 5 = -s + 22. Suppose 0 = 18*o - 14*o - 612. What is the greatest common divisor of o and s?
17
Suppose -3*u = -3*f + 18, -2*f - 11 - 1 = 4*u. Suppose -f*t - 3 = -35. What is the highest common divisor of 128 and t?
16
Let w(y) = 97*y - 23. Let k(t) = -24*t + 6. Let f(r) = 9*k(r) + 2*w(r). Let v be f(-2). What is the highest common factor of 39 and v?
13
Let i be (18/15)/((-6)/20). Let c(h) = -h**3 + h**2 + h + 5. Let s be c(i). Calculate the greatest common factor of s and 9.
9
Let v(t) = -t**2 - 14*t - 37. Let i be v(-9). Suppose 2*s = -2*s + i. What is the highest common divisor of 8 and s?
2
Suppose 25 = -6*u + 7. Let d be (-2 - (u + 1)) + 12. Let t(f) = -14*f - 2. Let i be t(-7). What is the highest common divisor of i and d?
12
Let k(v) = -11*v - 47. Let h be k(-4). Let q be 104/24 - h/(-9). What is the greatest common divisor of 8 and q?
4
Let f(i) = i - 3. Let n be f(35). Suppose 0 = 4*t - 8 - 8. What is the greatest common divisor of t and n?
4
Suppose -15 = -4*t + t, -5*t = -4*p + 31. Calculate the highest common factor of 62 and p.
2
Let m = -154 - -1654. What is the highest common factor of 12 and m?
12
Let j be 1/(6/161)*(156 - 150). Calculate the greatest common divisor of 115 and j.
23
Let i = 2 + 6. Suppose 0 = 5*h - 318 - 282. Suppose q - 4*g + h = 3*q, 0 = -5*q + 3*g + 274. Calculate the greatest common factor of q and i.
8
Let t(y) = -8*y + 36. Let z be t(4). Suppose 0 = -5*p - z + 139. Calculate the greatest common divisor of 3 and p.
3
Let f be 1/2*((6 - 2) + 4). Suppose -2*q - r = -30, -f*q - 4*r + 42 = -2*q. What is the highest common factor of q and 39?
13
Let z(s) be the third derivative of s**6/120 - 11*s**5/60 + 5*s**4/12 + s**3/3 - 14*s**2. Let m be z(10). Calculate the highest common divisor of 6 and m.
2
Let r(v) = 3*v**3 - 9*v**2 + 21*v - 62. Let t be r(8). Calculate the greatest common divisor of 82 and t.
82
Let j(c) = -c**2 + 3*c + 2. Let n be j(2). Let w be -2 - (n + 378/(-3)). Calculate the greatest common divisor of 15 and w.
15
Let m(p) = -p. Let d be m(0). Suppose 30 = k - d*k. Suppose -4*o + 60 = o + 5*b, b = -5*o + 72. Calculate the greatest common divisor of k and o.
15
Let o(h) = -34*h - 128. Let n be o(-5). Calculate the highest common divisor of 42 and n.
42
Suppose -9*z + 887 = -958. Suppose -3*i = 4*w - 111, 2*i + 0*w - 88 = 2*w. Calculate the greatest common factor of z and i.
41
Suppose -3*r - 2*r = 5*m - 140, -m + 2*r = -13. What is the greatest common divisor of m and 23?
23
Let w(x) = x**2 - 9*x + 6. Let t be w(7). Let i be t/(-44) - 172/(-22). Calculate the greatest common factor of i and 72.
8
Let z = -4 + 10. Calculate the greatest common factor of 30 and z.
6
Let o(k) = 5*k**2 + 3*k - 5. Suppose 5*u - 4*m + 17 = -11, 22 = -4*u + 3*m. Let p be o(u). What is the greatest common factor of 7 and p?
7
Suppose 9 = -5*a + 29. Suppose h = -17 + a. Let d = h - -14. What is the highest common divisor of d and 8?
1
Suppose -6 = -5*b - 16. Let z be (-2)/b*(1 + 24). What is the greatest common factor of z and 200?
25
Let a(m) = 13*m - 53. Let h be a(13). Suppose 0*z + 3*k + h = 4*z, -3*z + 82 = -k. Calculate the greatest common factor of 286 and z.
26
Let g = 9 - 4. Suppose 0 = -5*u - g + 20. Suppose 5*i = -4*j + 151, -74 = -i - i - 5*j. Calculate the highest common divisor of i and u.
3
Suppose 2*f = -27*j + 25*j + 136, 5*f + 92 = j. What is the highest common divisor of j and 90?
18
Suppose 506*j + 156 = 510*j. Calculate the greatest common factor of 26 and j.
13
Let h be 1/(-1) + 1/(3/15). What is the highest common divisor of 23 and h?
1
Let q(l) = -l**3 + 33*l**2 + 34*l + 9. Let d be q(34). Let n be 14/4 - (-2)/(-4). Calculate the greatest common divisor of d and n.
3
Let b(w) be the third derivative of -w**5/60 + 5*w**4/24 + w**3/2 + 9*w**2. Let a be b(3). What is the highest common divisor of a and 18?
9
Suppose 9 - 54 = -9*m. Suppose 0 = -3*i - 5*d + 73, 4*i - 8*i - m*d = -89. Calculate the highest common factor of i and 144.
16
Let p be 635/(-15) + 2/6. Let n be -6*(-7)/(p/32). Let q = 46 + n. Calculate the greatest common factor of q and 7.
7
Suppose 2*g = p + 38, -7*p + 2*p - 95 = -5*g. What is the greatest common factor of 95 and g?
19
Let n = -113 - -124. Suppose l - 3*f = -1, 2*f - 1 = 3. Suppose l*h + 3*v = 2 + 18, -4*h = 3*v - 19. What is the greatest common divisor of h and n?
1
Let d be (2 - 2)*2/(-4). Suppose 2*b + 3*b = d. Suppose -o - 28 = -3*u - b*o, 2*o + 2 = 0. Calculate the highest common factor of 81 and u.
9
Let t be (-35)/175 + 723/15. Suppose 0 = 3*y - 8*y. Suppose y = 4*f - 10 - 54. Calculate the greatest common factor of f and t.
16
Let z be (-2)/(-4) + (-4)/8. Suppose 0*l + l - 14 = z. Let x(c) = -13*c**3 + c**2 + 4. Let i be x(-2). Calculate the greatest common factor of i and l.
14
Let c(w) = w + 17. Let r be c(-5). Let f be 2 - 2 - (-24 + r). What is the greatest common divisor of f and 12?
12
Let x be ((-4824)/96)/(1/(-4)). Let g = x - 138. What is the greatest common factor of 9 and g?
9
Suppose q - 147 = 297. What is the highest common divisor of q and 12?
12
Let x = 547 - 528. Calculate the greatest common divisor of x and 589.
19
Let q = -127 + 12. Let o = q + 142. Calculate the highest common divisor of 81 and o.
27
Let p(w) = 7*w + 25. Let n be p(-3). Suppose 5*a - a = n. Let s = 10 - 5. Calculate the highest common divisor of a and s.
1
Let r(z) = z**2 + 26*z - 23. Let x be r(-28). Let o be 3*(-4)/8*-2. What is the highest common divisor of o and x?
3
Suppose -6*o - 155 = -o. Let j = 47 + o. What is the highest common divisor of 40 and j?
8
Let c(z) = 2*z**2 + 18*z - 5. Let h be c(-9). Let q be 2/8*0 + h. Let v be 21/35 - 12/q. What is the greatest common divisor of 21 and v?
3
Suppose k - 1658 = 3*g, -2764 = -g + 6*g - k. Let y = -157 - g. Calculate the highest common factor of 44 and y.
44
Suppose -3*u = -2*u - 7. Suppose -u*j + 2*j = -15. Suppose g - 8 = k - 2, -g = j*k - 2. What is the highest common divisor of 55 and g?
5
Suppose -5*b = -4*b - n - 3, 5*b - 8 = -2*n. Suppose b*v - 31 = -3*i + 4*i, -3*i + 51 = 3*v. What is the highest common factor of 80 and v?
16
Suppose g = -0*g + 1. Let r = 15 + g. Let s be 6/(-9) + 100/6. What is the greatest common factor of s and r?
16
Let l(r) = -24*r. Suppose -2*f - 14 = 2*c, 2*f + 24 = 2*c - 5*c. Let z be l(c). Suppose 4*s + s - z = 0. Calculate the highest common divisor of s and 24.
24
Suppose -2*b - 6*o = -3*o - 165, 3 = o. Calculate the highest common factor of b and 130.
26
Let z = -70 - -121. What is the greatest common factor of 3 and z?
3
Suppose 7*b - 4*b =
|
{
"pile_set_name": "DM Mathematics"
}
|
actor m(z).
-(z + 2)**2*(z + 264)**2
Let d(y) = -2*y**2 + 13*y + 8. Let f be d(6). Suppose 11*b - 10*b = f. Solve -47*m - 47*m**2 - 18 - 49*m**2 - 57*m - 18*m**3 - b = 0.
-4, -2/3
Let m(d) = -26*d**5 + 52*d**4 + 182*d**3 + 86*d**2 - 9*d + 9. Let q(z) = z**4 - 2*z**3 - z**2 - z - 3. Let x(g) = -4*m(g) - 12*q(g). Solve x(t) = 0 for t.
-1, 0, 3/26, 4
Let v(x) be the second derivative of -3*x**5/50 - x**4/30 + 2*x**3/15 - 10*x - 1. Let v(t) = 0. Calculate t.
-1, 0, 2/3
Let p be 50/4 + 14 + (2 - (-138)/(-6)) - -2. What is o in p*o - 21 + 3/2*o**2 = 0?
-7, 2
Let v(h) be the first derivative of 2/15*h**3 + 2/5*h**2 + 2/5*h + 61. Suppose v(s) = 0. What is s?
-1
Let o = 137/90 + 13/90. Let j(p) be the first derivative of -5 + 15/2*p**2 + 0*p + o*p**3. Let j(u) = 0. What is u?
-3, 0
Suppose 3*b + 5*b = 5192. Factor 34*j**3 - b*j**2 - 34*j + 645*j**2 + 1 + 3.
2*(j - 1)*(j + 1)*(17*j - 2)
Let r(h) be the third derivative of h**5/180 - 13*h**4/36 + 23*h**3/6 + 234*h**2. Determine z so that r(z) = 0.
3, 23
Let r(f) be the second derivative of 0 - 6*f**3 - 2/5*f**6 + 0*f**2 + f**4 + 7/4*f**5 + 22*f + 1/42*f**7. Determine l, given that r(l) = 0.
-1, 0, 1, 6
Solve 2909 + 2135 + 3794 + o**3 - 59*o**2 + 627*o - 1475 + 260 = 0 for o.
-7, 33
Let w(o) = o**3 - 65*o**2 - 430*o + 288. Let c be w(71). Determine b, given that 8/3*b**2 + 0*b**c - 32/9*b**3 - 8/3 + 28/9*b + 4/9*b**5 = 0.
-3, -1, 1, 2
Let z(o) = o**2 + o + 3. Let r be z(0). Let j(s) = s**3 + 6. Let y be j(0). Find p, given that -6*p**r + y*p**4 - 3*p + 3 - 3*p**3 + 10 - 27*p**2 - 4 = 0.
-1, 1/2, 3
Let m(o) be the first derivative of 1/3*o**3 + 0*o - 53 + 1/2*o**2 - 1/5*o**5 - 1/4*o**4. Factor m(r).
-r*(r - 1)*(r + 1)**2
Suppose -34*y + 137*y = 163152. Let h = 1588 - y. Factor -1/3*b**5 + 0*b**2 + 1/3*b**h + 2/3*b**3 + 0 + 0*b.
-b**3*(b - 2)*(b + 1)/3
Let v(x) = -2*x**3 + 12*x**2 - 8*x - 5. Let b be v(5). Let s(w) be the first derivative of -b + 25*w + 5*w**2 + 1/3*w**3. Suppose s(l) = 0. Calculate l.
-5
Let y(g) be the first derivative of -g**6/1260 + g**5/60 - 5*g**4/42 + 2*g**3 + 22. Let s(j) be the third derivative of y(j). Solve s(q) = 0 for q.
2, 5
Let h(x) = 424*x + 9. Let f be h(-2). Let t = 840 + f. Suppose 2/3*c**2 + 1/3*c**4 + 4/3*c**3 - 4/3*c - t = 0. What is c?
-3, -1, 1
Let t(b) be the third derivative of b**8/1008 - b**7/42 + 77*b**6/360 - 137*b**5/180 - 5*b**4/12 + 100*b**3/9 + 3*b**2 - 146. Determine r, given that t(r) = 0.
-1, 2, 4, 5
Let z = -32 + 42. Suppose 4*h - 10 = z. Determine w so that 3*w**3 - 7 - 21*w - 9*w**2 - h + 3*w**2 = 0.
-1, 4
Let j = -140333 + 140335. Let -1/2*s**5 + 0 + 0*s + 9/2*s**3 + 0*s**4 + 0*s**j = 0. Calculate s.
-3, 0, 3
Let u(x) be the third derivative of 0*x**5 - 1 + 0*x + 92*x**2 + 13/120*x**4 - 2/5*x**3 - 1/600*x**6. Factor u(f).
-(f - 3)*(f - 1)*(f + 4)/5
Let t(c) be the first derivative of 5*c**6/18 - 41*c**5/3 + 505*c**4/4 + 12305*c**3/9 + 5290*c**2/3 + 1988. Solve t(x) = 0.
-4, -1, 0, 23
Let u(q) be the first derivative of 5*q**4/48 - q**3/12 - 3*q**2/8 + 40*q - 62. Let g(r) be the first derivative of u(r). Factor g(x).
(x - 1)*(5*x + 3)/4
Let p(v) = 76*v**2 - 18556*v + 2930. Let r be p(244). Factor -82/5*x + 2*x**r + 16/5.
2*(x - 8)*(5*x - 1)/5
Factor -642 + 4*o**3 - 762 - 236*o - 32*o**2 + 1092.
4*(o - 13)*(o + 2)*(o + 3)
Let m(t) be the second derivative of -2*t**2 + 11*t + 4 - 1/12*t**4 - 5/6*t**3. Factor m(o).
-(o + 1)*(o + 4)
Let g(d) be the first derivative of d**4/20 + d**3/5 - 2*d**2/5 - 6218. Let g(z) = 0. Calculate z.
-4, 0, 1
Let z(f) be the third derivative of -8/3*f**3 - 7/6*f**4 - 1/84*f**8 + 0*f + 4/105*f**7 + 3 - 5*f**2 + 2/15*f**5 + 4/15*f**6. Factor z(u).
-4*(u - 4)*(u - 1)*(u + 1)**3
Let w be 4/(-18) - 10/(-45)*10. Let s(j) = 3*j**2 + j + 5. Let t be s(7). Factor -10*r - t*r**w - 6*r**3 + 43*r - 18 + 168*r**2.
-3*(r - 3)*(r + 2)*(2*r - 1)
Let a(n) be the second derivative of 3*n**5/20 - 13*n**4/2 + 72*n**3 + 418*n. Solve a(f) = 0 for f.
0, 8, 18
Let r(o) be the first derivative of o**6/120 + 9*o**5/5 + 162*o**4 + 118*o**3/3 - 145. Let q(v) be the third derivative of r(v). Factor q(b).
3*(b + 36)**2
Let c(s) = -2*s**2 + 55*s - 35. Let t be c(25). Let n = 94 - t. Factor 2/5*h + 2/5*h**2 - 2/5*h**3 - 2/5*h**n + 0.
-2*h*(h - 1)*(h + 1)**2/5
Suppose a + 9*a = -0*a - 16*a. Let g(h) be the first derivative of 5*h**3 + 5*h**2 + a*h + 4 + 5/4*h**4. Determine k, given that g(k) = 0.
-2, -1, 0
Let y = 3854 + -7705/2. Let k be 27/(-3)*(44/16 - 3). Determine n so that -3*n**3 + 0*n**4 + k*n + y*n**2 + 3/4*n**5 - 3/2 = 0.
-2, -1, 1
Let d(x) = -x**2 - 136*x - 1510. Let c(i) = 15*i**2 + 2175*i + 24159. Let o(q) = 2*c(q) + 33*d(q). Factor o(j).
-3*(j + 18)*(j + 28)
Let l = 709/1660 + -9/332. What is p in 44/5*p + l*p**2 + 42/5 = 0?
-21, -1
Let 21*s + 3/4*s**3 + 15*s**2 - 108 = 0. What is s?
-18, -4, 2
Suppose -25 = -5*o, 3*o = 88*f - 91*f + 27. Let m(g) be the first derivative of 0*g**2 + 28 - 1/10*g**f + 0*g + 16/15*g**3. What is q in m(q) = 0?
0, 8
Let i(c) = -6*c**3 + 126*c**2 - c - 2123. Let k(v) = -v**3 + 25*v**2 - 426. Let r(m) = -2*i(m) + 11*k(m). Let r(a) = 0. What is a?
-22, -5, 4
Find i, given that -21*i**5 + 113*i + 16817*i**2 - 17831*i**2 + 482 + 414*i**4 - 1959*i**3 + 118 + 1867*i = 0.
-1, -2/7, 1, 10
Solve -1903236/7*m**2 - 1/7*m**4 + 2389/7*m**3 + 506259184/7*m - 504358336/7 = 0 for m.
1, 796
Let v(l) be the first derivative of 1/12*l**4 + 0*l - 1/2*l**2 + 11/18*l**3 - 199. What is z in v(z) = 0?
-6, 0, 1/2
Let m(d) be the second derivative of -d**6/180 - d**5/40 + 5*d**4/36 - 6*d + 24. Factor m(p).
-p**2*(p - 2)*(p + 5)/6
Suppose -57 + 4 = -7*g - 25. Let m(z) be the second derivative of z**g + 4*z**2 + 10/3*z**3 + 0 + 6*z. Solve m(p) = 0 for p.
-1, -2/3
Let l(j) = -j**3 - 4*j**2 + 10*j - 7. Let w be l(-6). Let d(h) = h + 17. Let u be d(w). Let -u*f - 9*f**3 + 3*f**4 + 9*f**2 - 27*f + 46*f = 0. What is f?
0, 1
Let p = -808 - -826. Suppose 82 - p = 16*z. Solve z*w + 9/4*w**2 - 1 = 0 for w.
-2, 2/9
Factor 65/2*t**3 + 0*t + 0 + 20*t**2.
5*t**2*(13*t + 8)/2
Let l = -110389 - -993503/9. Suppose 4*k = 2*k. Factor k - 8/9*a**3 + 10/9*a**2 + l*a**4 - 4/9*a.
2*a*(a - 2)*(a - 1)**2/9
Let d = -51624 - -51626. Factor 0 - 21/2*x**3 - 147/4*x**d + 0*x - 3/4*x**4.
-3*x**2*(x + 7)**2/4
Let p = 117327/731 + -3/1462. Let s = p - 160. Factor -b - 1/2 + 0*b**2 + b**3 + s*b**4.
(b - 1)*(b + 1)**3/2
Let z(g) be the first derivative of g**6/288 - g**5/6 + 10*g**4/3 + 19*g**3 + 72. Let r(y) be the third derivative of z(y). Suppose r(u) = 0. What is u?
8
Let 4472/3*q - 5408 - 320/9*q**2 + 2/9*q**3 = 0. What is q?
4, 78
Let q(a) = a**3 - 27*a**2 - 122*a - 58. Let f be q(31). Let y(o) be the first derivative of 0*o - 1/2*o**3 - 1/2*o**2 + f - 1/8*o**4. Factor y(s).
-s*(s + 1)*(s + 2)/2
Let t be 8/(-10)*(-10)/4. Let f = 153406 - 153403. Solve -2/11*a**t + 0*a + 0 + 2/11*a**f = 0.
0, 1
Let f(g) be the first derivative of -2/3*g**3 + 1/12*g**4 + 128 + 3/2*g**2 + 0*g. Factor f(b).
b*(b - 3)**2/3
Suppose -3*m = 3*g + 48, -5*g - 41 = 2*m + 6. Let d(h) = 6*h**3 - 12*h**2 + 16*h + 1. Let s(b) = b**3 - 2*b**2 + 3*b. Let c(o) = m*s(o) + 2*d(o). Factor c(i).
(i - 2)*(i - 1)*(i + 1)
Let z(g) be the first derivative of 0*g**2 + 0*g - 8/3*g**4 + 2/15*g**5 - 8*g**3 - 154. Factor z(f).
2*f**2*(f - 18)*(f + 2)/3
Let t = -84 - -88. Factor -3*d**t + 3*d - 60*d**2 + 74*d**2 + 9*d + d**4.
-2*d*(d - 3)*(d + 1)*(d + 2)
Let -2/13*v**5 + 0*v**4 + 0*v**2 + 8/13*v**3 + 0*v + 0 = 0. Calculate v.
-2, 0, 2
Suppose 117 = 23*f + 876. Let b be (2/f)/(3/(-54)). What is c in -18/11 - 2/11*c**2 - b*c = 0?
-3
Find j, given that 1539*j + 1538*j - 160 - j**2 - 4614*j + 1549*j + 5*j**2 = 0.
-8, 5
Let 145 + 5/3*v**2 - 440/3*v = 0. What is v?
1, 87
Determine s, given that -91*s**2 + 200*s + 0*s**3 - 99*s**2 + 205*s**2 - 5*s**3 = 0.
-5, 0, 8
Suppose 0 = 82*s - 87*s + z + 9, s - 5*z + 27 = 0. Let p(w) be the first derivative of 30 - 5/3*w**s - 5/2*w**2 + 0*w + 5/4*w**4 + w**5. Factor p(h).
5*h*(h - 1)*(h + 1)**2
Let l be 1 - (-13 - (6 + -20)). Let t(s) be the second derivative of -5/6*s**4 + l - 6*s + 0*s**2 + 1/4*s**5 - 5/2*s**3. Factor t(i).
5*i*(i - 3)*(i + 1)
Suppose -39744/5*w - 172*w**2 - 33856/15 - 14/15*w**3 = 0. What is w?
-92, -2/7
Factor n**3 - 39*n - 418 - 6*n - 401 - 432 + 8*n**2 + 1287.
|
{
"pile_set_name": "DM Mathematics"
}
|
ozoozzozozozzzo?
3/10
What is prob of sequence nnnn when four letters picked without replacement from ntetetntneeteetnet?
1/3060
Two letters picked without replacement from xepppyyypooppxy. What is prob of sequence op?
2/35
What is prob of sequence zd when two letters picked without replacement from dzqqcndzdqq?
3/55
What is prob of sequence kj when two letters picked without replacement from {j: 3, w: 6, g: 1, k: 2, b: 2}?
3/91
Calculate prob of sequence cccc when four letters picked without replacement from cccccc.
1
Calculate prob of sequence zyx when three letters picked without replacement from xjjjyjzjjyxxjxyxjxj.
1/323
Calculate prob of sequence kk when two letters picked without replacement from kka.
1/3
Calculate prob of sequence gbc when three letters picked without replacement from {y: 1, g: 4, u: 3, b: 2, c: 2}.
2/165
Three letters picked without replacement from {p: 1, b: 1, h: 2, a: 5, y: 1}. Give prob of sequence ahh.
1/72
Four letters picked without replacement from kkklkkkkkkklklklkl. What is prob of sequence klkl?
13/306
Three letters picked without replacement from {l: 1, x: 1, a: 6, y: 1, q: 3, z: 4}. Give prob of sequence xaq.
3/560
Two letters picked without replacement from {j: 13, p: 2, x: 1, g: 3}. What is prob of sequence xp?
1/171
Four letters picked without replacement from {i: 8, j: 2, m: 2}. Give prob of sequence mimi.
14/1485
Two letters picked without replacement from {q: 1, m: 4, a: 1, t: 4}. Give prob of sequence mq.
2/45
Four letters picked without replacement from {b: 7, a: 2}. Give prob of sequence abab.
1/36
Three letters picked without replacement from {j: 3, i: 5}. What is prob of sequence jii?
5/28
Calculate prob of sequence tx when two letters picked without replacement from {t: 2, x: 6}.
3/14
Four letters picked without replacement from {i: 6, h: 4}. Give prob of sequence ihhh.
1/35
Calculate prob of sequence cjjc when four letters picked without replacement from {j: 7, c: 2}.
1/36
Calculate prob of sequence kkuk when four letters picked without replacement from {u: 14, k: 4}.
7/1530
Two letters picked without replacement from {m: 3, i: 2}. Give prob of sequence im.
3/10
Four letters picked without replacement from {k: 2, b: 3, m: 7, f: 3}. What is prob of sequence bmmf?
3/260
Calculate prob of sequence kf when two letters picked without replacement from {g: 2, b: 1, n: 5, t: 5, f: 3, k: 4}.
3/95
Calculate prob of sequence vow when three letters picked without replacement from oaoaxwv.
1/105
Four letters picked without replacement from {e: 1, r: 1, w: 1, x: 3, i: 6, a: 1}. What is prob of sequence xrxw?
1/2860
Calculate prob of sequence nin when three letters picked without replacement from {g: 3, l: 1, j: 1, n: 3, i: 5, b: 2}.
1/91
Calculate prob of sequence xkqz when four letters picked without replacement from {x: 1, z: 1, k: 4, q: 2}.
1/210
Two letters picked without replacement from ssyyyyyyys. What is prob of sequence yy?
7/15
Calculate prob of sequence spop when four letters picked without replacement from psstop.
1/90
Three letters picked without replacement from nnennninqnkeqqfn. Give prob of sequence kfn.
1/420
Calculate prob of sequence vxs when three letters picked without replacement from qqqhkkkhxvs.
1/990
Four letters picked without replacement from {a: 1, p: 1, r: 1, k: 1, f: 1, j: 2}. Give prob of sequence fpkj.
1/420
What is prob of sequence dczv when four letters picked without replacement from wydwddyzvvdc?
1/1485
Three letters picked without replacement from {d: 3, c: 5}. Give prob of sequence cdd.
5/56
Three letters picked without replacement from qhxdxqjjjxha. What is prob of sequence hdq?
1/330
Calculate prob of sequence aasa when four letters picked without replacement from sssaaa.
1/20
Calculate prob of sequence qq when two letters picked without replacement from jqjjjjjjq.
1/36
Two letters picked without replacement from {c: 1, z: 1, m: 1, g: 2, v: 2, w: 1}. What is prob of sequence vv?
1/28
What is prob of sequence ccc when three letters picked without replacement from ccccccfccccccccccc?
5/6
What is prob of sequence ellt when four letters picked without replacement from {l: 2, r: 1, t: 3, s: 1, z: 1, e: 3}?
1/440
Two letters picked without replacement from xxxbbxbbxxxxxx. What is prob of sequence xx?
45/91
Two letters picked without replacement from qqhi. What is prob of sequence qh?
1/6
Two letters picked without replacement from {d: 2, s: 6, c: 10, q: 1, u: 1}. What is prob of sequence dc?
1/19
What is prob of sequence ffb when three letters picked without replacement from cbcbfccccbcccbfb?
1/336
Calculate prob of sequence zuzc when four letters picked without replacement from uzccz.
1/30
Four letters picked without replacement from syilqkiliqislilly. What is prob of sequence sily?
5/2856
Three letters picked without replacement from {y: 5, q: 2, a: 2}. What is prob of sequence qya?
5/126
Calculate prob of sequence fff when three letters picked without replacement from {f: 3}.
1
Calculate prob of sequence uuhh when four letters picked without replacement from uurruhuhruuhur.
3/286
Four letters picked without replacement from sgnnnnnggngnngnsng. What is prob of sequence sngn?
1/68
What is prob of sequence kw when two letters picked without replacement from kggwnkgggwg?
2/55
Calculate prob of sequence ccc when three letters picked without replacement from cccccccccccccccqccc.
16/19
Two letters picked without replacement from kkkhkkkskhskkkk. What is prob of sequence hk?
11/105
What is prob of sequence hr when two letters picked without replacement from rrbzhrk?
1/14
Two letters picked without replacement from {l: 2, k: 2, u: 6, n: 2}. What is prob of sequence ku?
1/11
Three letters picked without replacement from jnnggnpgjppppngpnp. What is prob of sequence gnp?
35/1224
Calculate prob of sequence tttd when four letters picked without replacement from tddddtttdddtdd.
45/2002
Two letters picked without replacement from zzxzaxzazvzfzz. What is prob of sequence fa?
1/91
Four letters picked without replacement from {k: 6, p: 2}. What is prob of sequence kpkk?
1/7
Four letters picked without replacement from sissisxvix. Give prob of sequence ivss.
1/140
What is prob of sequence hoh when three letters picked without replacement from {f: 1, n: 4, z: 1, o: 9, h: 3}?
3/272
Two letters picked without replacement from {a: 8, o: 1, q: 4, h: 2}. Give prob of sequence aq.
16/105
Two letters picked without replacement from xootgogtottoboto. What is prob of sequence go?
7/120
Three letters picked without replacement from zmmmzvmzmmdhz. Give prob of sequence zvz.
1/143
Three letters picked without replacement from vgggvvgggg. What is prob of sequence vvg?
7/120
Calculate prob of sequence ccsp when four letters picked without replacement from {m: 1, n: 2, p: 8, s: 2, c: 2}.
4/4095
Three letters picked without replacement from {x: 2, r: 10}. What is prob of sequence rrr?
6/11
What is prob of sequence wwyy when four letters picked without replacement from wyrwyywywywwryw?
1/26
Calculate prob of sequence ka when two letters picked without replacement from kkkaakkkkk.
8/45
What is prob of sequence tyh when three letters picked without replacement from hanyatffy?
1/252
Calculate prob of sequence uo when two letters picked without replacement from youuys.
1/15
Calculate prob of sequence dd when two letters picked without replacement from mmdmmdqmdq.
1/15
Three letters picked without replacement from djgjjgdjj. Give prob of sequence dgd.
1/126
What is prob of sequence dp when two letters picked without replacement from {d: 5, p: 2, o: 3}?
1/9
Three letters picked without replacement from bbkndneknssskkddsskk. Give prob of sequence kke.
1/228
Four letters picked without replacement from {i: 4, v: 3, d: 4}. Give prob of sequence didi.
1/55
Two letters picked without replacement from {z: 3, l: 2, i: 1, w: 1, b: 3}. What is prob of sequence zl?
1/15
Three letters picked without replacement from {c: 2, i: 6, z: 5}. Give prob of sequence izz.
10/143
Four letters picked without replacement from xppwpuwxxwxpxxxwxw. Give prob of sequence uxww.
1/459
Calculate prob of sequence rqqw when four letters picked without replacement from wwqwrxwwwnjqnrnww.
1/1785
Calculate prob of sequence fzrd when four lette
|
{
"pile_set_name": "DM Mathematics"
}
|
*f**3 - 5*f + 4*f**2 - 3 + f**2 - 6*f**3. Give x(-6).
-9
Suppose r + 0 = 6. Let k(f) = -7*f. Let a(u) = 31*u + 5. Let c(m) = 16*m + 3. Let g(n) = 3*a(n) - 5*c(n). Let q(l) = r*g(l) + 11*k(l). Give q(-3).
-3
Let v = -106 - -112. Let w(n) be the first derivative of -n**4/4 + 2*n**3 - n**2/2 + 6*n + 3. Calculate w(v).
0
Let c(v) = -9*v**3. Suppose 2*f + 4*q = 7*f - 25, -3*f + 23 = -4*q. Calculate c(f).
-9
Let y(l) be the second derivative of l**5/20 - l**4/6 - 5*l**3/6 + 3*l**2/2 + l. Suppose -2*x + 8 = 2. What is y(x)?
-3
Let u(j) = -3*j + 21. Let a(t) = t - 5. Let d(c) = -21*a(c) - 5*u(c). What is d(2)?
-12
Let h(z) = -3*z**2 + 8*z - 8. Let x(f) = -3*f + 2 + 1 + f**2 + 0*f**2. Let i(c) = 4*h(c) + 11*x(c). Determine i(1).
-1
Let z(o) be the third derivative of o**6/180 + o**5/120 - o**4/24 + o**2. Let v(g) be the second derivative of z(g). What is v(-3)?
-11
Let t(b) = -2*b**3 - 2*b**2 - 9*b + 2. Let q(i) = 5*i**3 + 6*i**2 + 26*i - 6. Let p(f) = -3*q(f) - 8*t(f). Suppose -4*y + 2 = -l - 2, 4*l - 8 = 4*y. Give p(l).
10
Let h(g) = -13*g**2 + g + 16. Let f(k) be the third derivative of -3*k**5/20 + k**4/24 + 11*k**3/6 - 3*k**2. Let t(b) = 7*f(b) - 5*h(b). Calculate t(2).
9
Let a(i) = -i. Suppose -t + 3*t = 0. Suppose 4*x + 2*w + 10 = -t*w, -8 = 5*x + 4*w. Give a(x).
4
Let w(q) = q**3 + 4*q**2 - 4*q - 2. Let n(z) = 3*z + 18. Let j(x) = -x - 9. Let a(m) = -5*j(m) - 2*n(m). Let k be a(9). Let o = -5 - k. What is w(o)?
-7
Let t(x) = -2*x - 28. Let l be t(-14). Let k(q) = q**3 - 11. Give k(l).
-11
Let t(s) be the second derivative of 1/2*s**2 - 1/12*s**4 + 0*s**3 + 0 + s - 1/5*s**5. Determine t(-1).
4
Let f(j) = -j**3 + 5*j**2 - 5. Suppose -2*k + 4 = -k. Suppose 2*w = -x + 6, 0 = 4*x - 5*x + k*w. What is f(x)?
11
Let l(s) = -s - 6. Let u(i) = i**2 - 16*i + 34. Let w be u(13). What is l(w)?
-1
Let k be (-48)/(-8)*(-4)/(-6). Suppose -6*x = -k*x - 5*v - 3, -3*x + 3*v + 9 = 0. Let o(n) = -n + 4. What is o(x)?
0
Let x = -29 - -44. Suppose -4*u - u = -x. Let b(g) be the first derivative of -g**3/3 + g**2 + 2*g + 1. Determine b(u).
-1
Let k(l) = -l**2 - 7*l - 5. Suppose -w + q + 10 = -0, 5*q = 25. Let s = w - 21. Give k(s).
1
Let o(k) = -k - 2*k + 4*k. Calculate o(-5).
-5
Let b(y) be the first derivative of y**3/6 + 11*y**2/2 - y - 1. Let x(u) be the first derivative of b(u). Let t be x(-6). Let l(n) = -n**2 + 3*n + 2. Give l(t).
-8
Let d(n) be the third derivative of -n**5/20 + n**4/24 + n**3/3 + 2*n**2. Let y = 5 - 6. Let h = y + 3. Calculate d(h).
-8
Suppose l + 2*l = 6. Suppose -4*w = 4*m - 4, 3*m - 3 = -2*w + 2*m. Suppose 0 - w = -l*v. Let a(q) = -4*q. Determine a(v).
-4
Let p(a) = -8*a + 8. Let m(z) = 3*z - 3. Let w(k) = 11*m(k) + 4*p(k). Suppose 3*r + 3*h - 15 = 5*r, -2*r + h = 13. Calculate w(r).
-7
Let t(w) = 5*w. Suppose 3*m = -0*m - 12. Let l be (3 + m)*(1 - 2). What is t(l)?
5
Let m = -55 - -49. Let d(l) = 3*l + 8. Determine d(m).
-10
Let l(f) = -f - 2. Let s(t) = t**2 + 21*t + 36. Let h be s(-19). Calculate l(h).
0
Let r(w) be the first derivative of -w**6/360 + w**5/20 - w**4/12 + w**3/3 + 1. Let q(u) be the third derivative of r(u). What is q(3)?
7
Let d = -30 - -27. Let k(m) = m**2 + 2. Calculate k(d).
11
Let r(d) = d - 1. Let a(s) = -5*s + 4. Let m be 1/(2/4)*-1. Let w(b) = m*a(b) - 11*r(b). Suppose 3*h - 18 = -3. Give w(h).
-2
Let c(f) = -f + 1. Let w(u) = -5*u + 5. Let y(r) = -4*c(r) + w(r). Give y(1).
0
Let x = -29 + 30. Let o(v) = -5*v**3 + v. Calculate o(x).
-4
Let a be (10/(-35))/(8/(-14)). Let n(w) be the first derivative of w + 4 - a*w**2. Give n(6).
-5
Let p(z) be the first derivative of -z**3/3 - 5*z**2/2 + 4*z - 2. Let m = -3 - -7. Suppose 20 = -0*v - m*v. Determine p(v).
4
Suppose 2*v + 8 = 5*w, -3*v + 20 = -w - 8*v. Let k(i) = -i**2 - 6. Let r(d) = d**2 + 5. Let x(f) = -3*k(f) - 4*r(f). Calculate x(w).
-2
Let t(x) = -6*x**2 + 7. Let w(k) = k**2 + k - 1. Let r(s) = -t(s) - 5*w(s). What is r(4)?
-6
Let i(f) be the third derivative of f**4/24 + f**3/2 + 36*f**2. Calculate i(4).
7
Suppose 2*u = 3 + 7. Let c(v) = 7 + 5*v**2 + 4*v - v**3 + 0*v - 6*v. Calculate c(u).
-3
Let g be -2 - 36/8*-2. Let t(h) = -7*h**2 - 4 - 3*h**3 + 3*h**3 + g*h + h**3. Determine t(6).
2
Suppose -2*w - w - 21 = 0. Let b(a) = 2*a**2 + 8 + a**3 + 2*a**2 + 3*a**2 + 11*a - 9*a. Let x be b(w). Let f(o) = o + 6. Give f(x).
0
Let p(j) = j**3 - j. Let f(k) = -2*k**3 + 3*k**2 + 2*k - 3. Let i(h) = f(h) + 3*p(h). Let w(z) = z + 8. Let v be w(-6). Let b = -5 + v. Give i(b).
0
Let c(l) = l**2 + 2*l + 1. Suppose 2*k = 7 - 17. Let u(s) = s + 6. Let v be u(k). Suppose z + 2 = -v. Determine c(z).
4
Let m(s) = s**3 - 9*s**2 - 2*s + 7. Let g be m(9). Let n = g - -13. Let j(o) be the third derivative of -o**5/60 - o**4/12 + o**3/2 + 2*o**2. Determine j(n).
-5
Let r(j) = -4*j**2 + 0*j**2 + 2 + 0*j**2 + 3*j**2 + j. Determine r(2).
0
Let r(f) = -f - 6. Let c be ((-8)/(-6))/(8/6). Suppose -m = -2*m + 1. Let w = m - c. Determine r(w).
-6
Let w = 18 + -12. Let y(x) = -5 - 1 + 0 + 4*x - 3*x. Let b(v) = -3*v + 17. Let r(a) = w*b(a) + 17*y(a). Determine r(0).
0
Let t(b) = 2*b + 6. Suppose 23 = 4*j + 3. Let v(p) = -p**2 - p - 1. Let g(w) = w**3 - 2*w**2 + w + 9. Let c(i) = g(i) + 3*v(i). Let q be c(j). Determine t(q).
-2
Suppose 5*k + 0*u - u = 16, 3*k - u - 10 = 0. Let j(g) = -g**2 + 3*g**3 - k*g**2 + 1 - 6 - 5*g - 2*g**3. What is j(5)?
-5
Suppose -2*l = -3*l - 15. Let k(a) = a**2 - 10*a - 1. Let j be k(10). Let b be -3*l/9*j. Let q(u) = -2*u - 4. What is q(b)?
6
Let w(v) = v + 2*v - 2*v - 2 + 0*v. Calculate w(-3).
-5
Suppose 23 = 5*u - 2. Suppose -16 + 6 = -u*o. Let p(y) = 2*y + 2. Calculate p(o).
6
Let r(c) = c**3 + c**2 + 3*c + 4. Let x(v) = 2*v**3 + v**2 + 5*v + 7. Let k(g) = -5*r(g) + 3*x(g). Determine k(1).
0
Let n(f) = 2*f - 7. Suppose -3*q + 3*h + 6 = 0, -q = -4*h - h + 18. Determine n(q).
7
Let h(u) = -u**2 - 4*u - 4. Let m be 236/7 - (-6)/21. Let y = m + -14. Suppose y = -13*z + 8*z. Calculate h(z).
-4
Let m be 2 + -4*(-2)/4. Let s(o) be the first derivative of -o**3/3 + o**2 + 3*o + 6. Give s(m).
-5
Suppose 4*h - 1 = 3*h, -5*h + 21 = 4*l. Let o(n) = -n**2 - n + 4. Give o(l).
-16
Suppose 3*y - 6*y + 12 = 0. Let j(n) = n**2 - 2*n - 4. What is j(y)?
4
Suppose 5*r + 21 = -0*o + o, -2*r - 4 = 4*o. Let q(m) = m**2 + 4*m - 2. Let p be q(r). Let l(y) = -y**3 + 2*y + 3. Determine l(p).
7
Let u(f) = -f**3 - 5*f**2 + 3*f + 2. Let n(j) = -j**3 + 8*j**2 - 9*j + 9. Let o = 21 + -14. Let c be n(o). Calculate u(c).
-13
Let j(p) = -p**3 - 3*p**2 + 4*p + 5. Suppose 1 = -3*f - d, 8 = -2*f - 0*f + 3*d. Let v = -5 - f. Let c be ((-6)/v)/(12/(-32)). Calculate j(c).
5
Let t(a) = 2*a**2 + 13*a - 4. Let l(d) = d**2 + 6*d - 2. Let f(y) = -13*l(y) + 6*t(y). Suppose -3*j + 4 = -j. Suppose -3 = -j*b + 1. Determine f(b).
-2
Let x = -2 - -8. Let l(n) be the third derivative of 1/4*n**4 - 1/60*n**5 - 1/3*n**3 + n**2 + 0 + 0*n. What is l(x)?
-2
Let b(g) be the first derivative of g**3 - 3*g**2/2 - 6*g + 1. Let w(a) = a**2 - a - 1. Let d(y) = b(y) - 2*w(y). Let v = -2 + 5. Give d(v).
2
Let y(u) = -9 + u - 6 + 24 - 13. Let x(n) = 5*n. Suppose 0 = 4*r - 3*p - 15 + 2, 5*r - 3*p - 14 = 0. Let k be x(r). Determine y(k).
1
Let f be 1 + -2 + (-1 - -1). Let o(b) = 8*b**2 - 7*b + 5. Let u(x) = 4*x**2 - 3*x + 2. Let a(q) = -2*o(q) + 5*u(q). Calculate a(f).
5
Let w(t) be the first derivative of -t**2/2 - t - 2. What is w(-3)?
2
Let g(s) = -6*s**3 + 1. Let f = -10 + 9. Let v be g(f). Let o(b) = -b + 10. What is o(v)?
3
Let b = 25 - 12. Let c(q) = 2*q + b - 4 - q. What is c(-6)?
3
Let i(q) = -q**3 + 13*q**2 - 32*q + 13. Let y be i(10). Let g(m) = -m**2 - 7*m - 6. Give g(y).
-6
Let a(p) = -p**3 - 6*p**2 - 2*p + 7. Let i be 0/1 + 2 + 0. Let c be (10 - (i - -1)) + -3. Suppose -u = c*g - 15, u + 2*g = 4 + 1. What is a(u)?
-8
Suppose 7 + 18 = -5*r. Let n(q) = -q + 2. Calculate n(r).
7
Let t be (2 - (4 + -3)) + -1. Suppose 19 = 5*o + 3*i, -4*i - 4 + 16 = t. Let r(n) = 2 + 2 - 3 + n. Give r(o).
3
Let i(s) be the second derivative of s**4/3 - s**2/2 + 18*s. Give i(1).
3
Let s = 4 - 7. Let a = s + 8. Let r(q) = -2*q + 5. Let v be r(a). Let t(n) = n**3 + 4*n**2 - 5*n - 5. Calculate t(v).
-5
Let v be (-90)/(-24) - 2/(-8). Let r(s) = v + 3*s - 2 - s. Give r(-4).
-6
Let q(b) be the third derivative of -b**6/120 + b**5/15 + 5*b**4/2
|
{
"pile_set_name": "DM Mathematics"
}
|
*p - 64 for h.
29
Solve -4*w = 3*h - 5*w - 10, 3471*h + 3*w + 384 = 3362*h for h.
-3
Solve -12*g - 5*y + 65 = -16*g, 5*g = -3*y + 1 + 1 for g.
-5
Solve 24 = -2*i - 2*k + 8, 2*k + 7 = -59*i + 60*i for i.
-3
Solve -8 = 2*i + 38*p - 34*p, 2*i - 4*p - 2 = i for i.
-2
Solve -5*z + 5047*m + 25 = 10086*m - 5040*m, 3*z - 10 - 5 = 27*m for z.
5
Solve 2*p - 415 = 3*p + 4*y - 392, -24 = 4*p - y for p.
-7
Solve 0 = 5*g - 5*y - 70, 6*g - 527*y + 561*y = 3*g - 32 for g.
12
Solve 4*o - 13*w + 12*w = 18, -7*o - 12*w + 11*w = -21 + 94 for o.
-5
Solve 3*x + 49 - 30 + 47 = 3*t, -x = -3*x + 250*t - 1036 for x.
-18
Solve 0*r - 2*r + 4*o + 26 = 0, 41*r - 6*o + 0*o + 3*o + 0*o - 296 = 0 for r.
7
Solve 86*c - 172 = 0, -61102*c = -2*l - 61100*c - 12 for l.
-4
Solve -2*k + 2*v + 20 + 5 - 11 = 3*k, 0 = -797*k - 4*v - 3256 for k.
-4
Solve 8 = -713*w + 718*w - 5*f - 2, -3*f + 18 = 5*w for w.
3
Solve 3807543*o - 3807560*o - 14 = 3*f, 5*f + 3*o - 78 = 0 for f.
18
Solve 51178*b + 12 = 51181*b - f, 3*f - 14 = -b for b.
5
Solve 4*y - 18 = m, -y + 10*m + 1228733 = -0*y + 1228709 for y.
4
Solve -320*h - 6 = -317*h, 3*h = 5*i + 59 for i.
-13
Solve -3*b + 3*a + 60 = 0, -469*a + 751 = b - 513*a for b.
3
Solve 448 = -5*h - 14*i, -5*i - 2*i = -21*h + 59*h - 12*i + 3182 for h.
-84
Solve -y + a = 47, -3*y + 827*a - 823*a - 145 = 0 for y.
-43
Solve 4*s + 7*p - 8*p - 18 = -27, 3*s + 36*p = 765 for s.
3
Solve 5*z + 21*y - 23*y - 13 + 88 = -9, 5*z + 3*y - 76 = 0 for z.
-4
Solve -2*f + g + 25*g - 25*g + 41 = 0, 0 = -121*f - 3*g + 2798 for f.
23
Solve 4*l + 19*v = 48 - 9, 5*l + 10*v - 26 - 20 = -11*v for l.
5
Solve -2*y - 4*n - 164 = 0, 170293*y - 170291*y + n = -47 for y.
-4
Solve 21*v + 145 = 4*x, -9*x = -53363*v + 53365*v - 80 for v.
-5
Solve 356*l = 4*s - 1424, -4768 = s + 5*l - 4748 for s.
0
Solve -6*f - 12*f - 3*g - 69 = -9*f, g + 3*g = -44 for f.
-4
Solve -17*t = 5*h - 22, 13727*h + 68 = t + 13731*h for t.
-4
Solve -2*r - f + 4 = 22, 8*r - 2*f - 314 = 3*r - 155 - 186 for r.
-7
Solve 0 = 4274857*j - 4274858*j - r + 16, 0 = -2*j - 4*r + 54 for j.
5
Solve -3*u = w + 7, 14848092 - 14848083 = -u + w for u.
-4
Solve 453*f - 914*f + 28 = -463*f + 4*u, -f + 5*u - 26 = 0 for f.
-6
Solve -115 = 5*l, -9116*o + 2*l + 56 = -9114*o for o.
5
Solve 201 + 75 = -4*u + u - 4*h + h, -1777 = -10*u + 21*h for u.
-5
Solve 6*x + 2*x = 5*f - 293, -f - f = -23*x - 830 for x.
-36
Solve 4*g = 4*s + 92, -5*g + 6*s + 18532 = 18419 for g.
25
Solve -1001754*p + 21 = 3*i - 1001751*p, -5*i = 11*p - 59 for i.
3
Solve -85*t - 18 = -86*t - 3*z + 14, 131 = 3*t + 2*z for t.
47
Solve 4*r = 5*l - 2 + 44, 5*r - 51 + 24 = 3*l + 19 for l.
-2
Solve -5*w + w + 84 = -54*k, -8704*w + 8709*w - 4*k + 22 = 0 for w.
-6
Solve -1483*b - 68 = -d - 1479*b - 6, -36 = -3*d + 4*b + 22 for d.
-2
Solve -189 + 207 = -8*m + 3*u, 5*m = -15*u + 16*u - 13 for m.
-3
Solve 3*i = -12*l + 510 + 231, 109*l - 104*l - 167 = 5*i + 148 for i.
-1
Solve 0 = -2*t + 20, s + 4*t - 822 = -37*t + 5*t - 46*t for s.
2
Solve -58*k - 26 = -61*k + 4*d, d + 40 = 12*k - 124 for k.
14
Solve -11495*p + 11493*p - 5*s - 40 = 0, 25*s + 200 = 3*p for p.
0
Solve 0 = 260738*g - 260735*g + 3, -2*u - 125 = -3*g for u.
-64
Solve 614*o = 615*o - 2*c + 15, 5*o + 2*c = 2*o - 61 for o.
-19
Solve -72*r - d - 7488 = 0, 206 = -5*r - d - 314 for r.
-104
Solve 71 + 20 = -4*p - 3*x, -14*x + 6*x - 40 = 0 for p.
-19
Solve -8*g - 35 = -j - 6*g, g = -6*j + 9*j - 17 - 13 for j.
5
Solve 0 = 5*z + 3*l - 8 - 51, 2*l + 14 = 2*z - 2*z + 2*z for z.
10
Solve 0 = -13*y + 11*y + 4*k - 8, 15*y + 8*y - 5*y - k = -37 for y.
-2
Solve 0 = -2*q + c - 5, -40653*c - 10 = -q - 40655*c for q.
0
Solve h + 53 = 2*u, -334*h + 338*h = -10*u - 284 for u.
-4
Solve -5*y - 2*k = -10*k + 30 - 72, -5*y = 3*k + 2 for y.
2
Solve -540 = -7*d + 2*c, 0 = 133070*d - 133068*d + 2*c - 162 for d.
78
Solve -2*x + 4*o = -24, o - 40 - 31 - 36 + 120 = -3*x for x.
-2
Solve -o = -3*t - 3*o - 27, -35466*t = -35471*t + 5*o + 30 for t.
-3
Solve 5*t + 36 = -0*t + t, -3*i - 3*t - 12 = -0*i + 27 for i.
-4
Solve d + 22 = 3*a, 6109*d - 6104*d - 52 = -3*a for a.
9
Solve -j + 13 + 21 = -4*z - z, -4*z = -10*j + 18 for j.
-1
Solve 706 - 714 = 5*d - v, 0 = -53*d - v + 8 for d.
0
Solve 5*x - 175575 = -z - 175572, -3*z = -10*x + 16 for z.
-2
Solve 3*m + 252 = -m + 44*b, 5*m + 1120*b - 1117*b + 83 = 0 for m.
-19
Solve 16*g - 6*w = -7*w - 4*w - 245, -5*g + 2*w + 41 = 0 for g.
-5
Solve -3*x - f - 182 = 0, -387*f + 366*f = -4*x + x - 270 for x.
-62
Solve 7*h + 94 + 186 = 2*h - 3*w, 0 = 51*w + 11*w + 5890 for h.
1
Solve 1 - 10 = -7*j + 3 + 8 + 15, 2*b - 5*j + 21 = 0 for b.
2
Solve 9*r - 28*r - 5*z - 190 - 547 = 0, 0 = 3*r + 3*z + 123 for r.
-38
Solve 1673 = 5*a + 2*r + 1677, -3*a - 4*r = -0*r - 20 for a.
-4
Solve f - a + 7227999 = 4*a + 7227976, 23 = 3*f + 8*a for f.
-3
Solve -q - 133 - 12 = -4*r, 3*r + q - 59 = 55 for r.
37
Solve 5 = p, 5*g = 229121*p - 229120*p + 70 for g.
15
Solve 0*x + 10*x - 2048 = -x + 7*x - 128*a, 0 = -2*x - 2*a + 32 for x.
0
Solve -4*z - 118 = -l - 80, 0 = -4*l + 88 for z.
-4
Solve 3*l + l - 5*l - 4137 = 5*r - 4099, 0 = 5*l - 5*r + 40 for l.
-13
Solve 3861 = 4*z - 2*i + 3881, 4*z = 5*i - 62 for z.
2
Solve 35*h + 5*h = -4*o + 81 + 3, -4*h + 27 = 5*h for o.
-9
Solve -88 = 3*u + 4*c, -69 - 98 = -38*u + 2*c + 35 for u.
4
Solve 26*k - 26*k - 49*b + 36 = -45*b, -15*k - b = 21 for k.
-2
Solve 0 = 2*n - 2*a - 4, 825*n = 830*n + 6*a - 10 for n.
2
Solve -6811*d + 3407*d + 4*q - 169 = -3403*d, -123 = -3*q for d.
-5
Solve -1 = -3*j - m, -62*j - 2*m + 5*m - 15 - 80 = -48*j for j.
-4
Solve 4*q - 3*l = -57, 4*l = -7*l + 13*l + 2 for q.
-15
Solve -i - 16 = -3*i + 2*i + 4*r, -696*i = -694*i + 5*r + 16 for i.
2
Solve -5*k = -m - 30, -350*k = -353*k - 5*m + 46 for k.
7
Solve 4 = -3*i - 5, 0 = -6*m - 3*m + 3*m + 5*m + 3*i + 5 for m.
-4
Solve 4*j - 398 = -3*m, 621*j - 620*j + 0*m - 144 = m - 41 for j.
101
Solve -1747*f - 45 = -0*c - 4*c - 1750*f, 0*c - 2*c + f = 25 for c.
-3
Solve -433*t - 5*o = -427*t - 62, -3*o + 6 = -6*o for t.
12
Solve 3*a - 2*v - 1811 + 1768 = -4*v, 8*a - 1 + 17 = 4*v for a.
5
Solve 0 = 5*u - 84 + 84, -3*n + n + 18*u + 1 = n + 13 for n.
-4
Solve 6*o = 45*i - 41*i + 62, 0 = i - o + 15 - 3 for i.
-5
Solve -2*f - 11*m + 34 = -15*m, -34*m + 38*m = 5*f - 67 for f.
11
Solve -330*m = -333*m - 2*n - 83, -7*m = -2*n - 53 for m.
-3
Solve 141 = -3*d + 4*y, -824 = 8*y - 1088 for d.
-3
Solve 0 = -2*z + 45984*h - 45989*h - 40 - 14, 0 = -28*z - 4*h - 492 for z.
-17
Solve -5*v = -7*p + 175, 787*v + 54*p = 787*v for v.
-35
Solve -t + 23 = -2*a, 913*a - 1 = 3*t + 914*a for t.
3
Solve -151448*w = -151453*w - 2*m - 14, 3*w - 51 = -21*m for w.
-4
Solve -114358*i + 170 = -3*a - 114353*i, 7*i = 3*a + 238 for a.
0
Solve 2*w = -6, 25*k - 40*k - 3*w = -w + 96 for k.
-6
Solve 4*u + 24 = 0, -2*u = -0*l - 4*l + 2*u + 2*u - u + 2 + 16 for l.
-3
Solve 4*i - 14 = m, 3796*m - 3798*m - 18 = 2*i for i.
1
Solve -5*h + 95 = 11*k + 10, -239*k + h - 5 = -243*k + 30 for k.
10
Solve 5*p = -17*x + 97, 2*p - 10 = 5008*x - 5010*x for x.
6
Solve f - 7*l + 43 = -f, -l + 1 = -266*f + 266*f for f.
-18
Solve -1 = -7*l + 4*r, -1647*r + 65 = -4*l - 1652*r for l.
-5
Solve 0 = 3*f - 3*z + 135, f + 37 + 24 + 24 = 2*z for f.
-5
Solve -7*x + 7*x - 4*x - 4*m - 32 = 0, 26*x - 4*m + 268 = 0 for x.
-10
Solve o + 4*o + 3*n = -5 + 1 - 8, n = 1 for o.
-3
Solve 0 = -66*p - 12*n - 0*n - 420, -p - 5*n - n + 10*n + 26 = -4*p for p.
-6
Solve -5*a + 1417*d = 1416*d + 9, -a = -2*a + 4*d - 17 for a.
-1
Solve -p = 3*a - 4, 20*a - 8*p = -5*p - 2*p + 19 for a.
1
Solve 0 = -104*n + 4*y - 228, 4*n - 10*y + 7*y + 7*y - 8 - 4 = 0 for n.
-2
Solve 8 = -8*o, 10*o = 8*w + 21*o - 8*o - 181 for w.
23
Solve 27027*l - 27015*l = -v - 87, v - 15 = 6*v for l.
-7
Solve 2*k - 61747 = 5*v - 61862, 7*k + 3*v = 110 for k.
5
Solve -5*k + 97*s + 1 = 45*s + 46*s, 31 = 3*k + 4*s for k.
5
Solve 0 = -2*i + 37*x - 34*x - 49, x = 3*i + 28 for i.
-5
Solve 2*z - 14*u + 38*u = 20*u + 44, -u + 4*u = -0*u for z.
22
Solve -2*l = 8, 0 = -3*v - 2*l - 1038 + 877 for v.
-51
Solve -2*s - 2*s = 15*z - 23, 3*s = -z + 1149 - 1183 for z.
5
Solve -3360*i - 16 = -3358*i + 5*l, 2*l = -8*i - 64 for i.
-8
Solve -5*a = -q, 1195*q - 1202*q - 3*a = 0 for q.
0
Solve 0 = -j - j - 4*a - 28, -6*a + 58 = -5*j - 28*a for j.
-16
Solve -448037*j + 448046*j = -
|
{
"pile_set_name": "DM Mathematics"
}
|
-10 + 11. Let o be u + 9/(-3) + 4 + -2. Solve o = 3*j - 3*m - 3 - 6, -4*j - 2*m - 12 = 0 for j.
-1
Suppose 70 = -13*a - 346. Let o = 36 + a. Solve 4*l + 2*t = -2, 4*l + 4 = -o*t - 0*t for l.
0
Suppose -3*o - 162 = 5*z, 0*z + 4*o = 3*z + 74. Let r be (-48)/(-9) + (z/9 - -3). Solve 4*l - 3*l = -r*x - 7, 5*x - 3*l + 19 = 0 for x.
-2
Suppose -88 = -7*o + 3*o. Let m be -4 - (-3 + o/10)*10. Solve 0 = -5*h + m*b - 1, -b - 3*b = -4*h for h.
-1
Let j = 7 - 3. Let b be (16/(-6))/(48/(-72)). Suppose n + 2 = -5*r - 3, -r + 20 = -4*n. Solve r = 4*m - 4*y - j, -16 = -b*y - 0*y for m.
5
Let v be 7*-12*4/(-42). Solve h + 4*u + 4 = 0, 3*h = v*h + 2*u + 2 for h.
0
Let y be 25/30*6 + 1. Solve 4*r - 2*u + y = 0, -r + 5*r - 3*u + 7 = 0 for r.
-1
Let m = -61 + 67. Let v be (20/m)/2*(-15)/(-5). Solve 0 = -4*b - 2*k - 4, 3*b = 7*b - v*k - 24 for b.
1
Suppose -5*j - 316 = -341. Let o(s) = s**2 - s + 1. Let v be o(-2). Let p be -3 + -1 + 2 + v. Solve -3*w = -3*g + 3, 0*w - p*w = j*g + 35 for w.
-4
Suppose 80 = 25*s + 15*s. Solve 2*t = 2, -d - 5*t = -2*t + s for d.
-5
Let m = 423 - 417. Solve 5*w + 0*r + 4*r = -m, -4 = -4*w - r for w.
2
Let u = -2 + 4. Let n(j) = 2*j + 1. Let x be n(u). Let z be (6/10)/(1/x). Solve 28 = z*s - 4*c, 2*s - 3 - 1 = -c for s.
4
Suppose 0 = 4*l - 2*i - 24, 4*l + 8*i = 3*i + 24. Suppose -3*v = 4*r - 6, -2 = 2*v + 4*r - l. Solve 5*y + 27 = -4*w, -3*w + 6 = -3*y - v*w for y.
-3
Let p(h) = -h**3 - 2*h - h - 2*h + 6 - 8*h**2 + h. Let u be p(-7). Let d = 17 + u. Solve 0 = 3*s - d*s - 1, -3*l - s - 8 = 0 for l.
-3
Suppose -3*n + 0*n - 13 = -b, 5*b - n = 23. Solve 0 = -b*a - a - 5*k - 5, 17 = -5*a - k for a.
-4
Let l = 35 + -36. Let d(v) = -8*v + 4. Let s be d(l). Suppose -5*m = -0*h + 3*h - s, 5*m + 2*h - 8 = 0. Solve m = -4*y - 6 + 22, 3*g - 9 = -3*y for g.
-1
Suppose -97 = 5*c - 382. Suppose -2*t - t = 5*d - 75, 3*t - d - c = 0. Solve -6*k + t = -k, 2*k - 23 = 5*q for q.
-3
Let k(i) = 3*i**2 + 12*i - 26. Let j be k(-6). Solve -4*a + 2*a + t = j, 5*a - 2*t + 24 = 0 for a.
-4
Suppose 0 = -0*i - 5*i + 10. Suppose -3*d = i*u, 0*d - 7 = d + 3*u. Solve d*y + 2*v + 16 = 0, 2*v = 3*y - v for y.
-4
Suppose -2*z - 10 = -4*t, -t - 11*z + 13*z = -4. Solve -4*n = -s + 9, -t*s - 3*n - 15 = -0*s for s.
-3
Let l(x) = -2*x**2 - 3*x + 22. Let k be l(-4). Solve -z - 4 + 3 = 0, -k*z + 2 = -r for r.
-4
Suppose 3*a + 21 = z, 0 = -2*a + 6*a + 4. Solve 4*o + 25 = 4*b + 9*o, -4*b + z = -2*o for b.
5
Let o be 2 + (-7 - -5 - 7). Let p = 14 + o. Solve 2*n + 5*z = 17, -4*n + 0*z + p = z for n.
1
Let x(r) = -7 - 36*r - 1 + 35*r. Let p be x(-15). Solve -u - 18 = 5*c, u + p*c = 3*c - 15 for u.
-3
Suppose 28 = 4*k + 3*x, -4*k = 9*x - 4*x - 36. Let t be (-2)/((k/(-17))/4). Let r = t - 16. Solve 5*p - r = -3*c + 6*c, 4*c = 3*p - 13 for c.
-1
Let w be 31 + 6/(-6 + 5). Solve -w = -3*v + 8*v - 5*o, -2*v + 11 = 5*o for v.
-2
Let l(s) = s + 14. Let o be l(-9). Solve 2*w + 2*x - o*x = -23, 0 = -3*x + 15 for w.
-4
Let l be ((-8)/(-32))/((22/(-56))/(-11)). Solve -5*j + 50 = 2*h - l*h, 0 = j + 2*h + 5 for j.
5
Let q(n) = 3*n + 3. Let a be q(0). Suppose 5*c - 8 = a*c. Solve l = c*k + 20, 5*l = k - 0*l + 24 for k.
-4
Suppose 2*p - 3*k = -0*k + 15, 5*k + 25 = 3*p. Solve 4*r - 20 = -4*q, p*r = 4*r for q.
5
Let c(o) = o**3 - 2*o**2 - 2*o + 1. Let u be c(3). Suppose -5*k - 2*w + 2 = -6, u = -4*w. Solve -k*x = 5*p - 0*x - 1, p + 7 = 2*x for p.
-1
Let o be 32/10 + (-2)/10. Suppose 5 = o*g - 2*g. Let k = 71 + -52. Solve -w - g*q = 17, 0 = -w + 5*q - q + k for w.
3
Let o = 20 - 12. Suppose -o = 4*a - 0*a. Let g(v) = v**2 + v - 2. Let h be g(a). Solve h = 3*u - 2*r - 19, 0*r - 15 = 3*r for u.
3
Let s(u) = -u. Let i be (5 + 1)*(-2 + 3). Let l be s(i). Let g be (24/(-16))/(l/8). Solve k - 15 = 4*k, j - 15 = g*k for j.
5
Let o(a) = -a**2 + 11*a + 15. Let m be o(12). Solve m*u - 4*i = 32, 2*i = -3*u - 0*i + 2 for u.
4
Suppose -8*l - 251 + 387 = 0. Solve -z - l = 4*c, 5*c + 5*z = 3*c - 13 for c.
-4
Let s(y) = y**2 - y + 2. Let o be s(3). Let j be o/52 - 74/(-26). Suppose 2*x - 6 = 2. Solve -3*m = -4*d + j, -5*m + d = -x*m for m.
3
Let k be 1 - (-3 - -8) - 0. Let r be 1/(k*(-4)/48). Solve -4*q = -m - 16, m + r*q + 8 = 5*q for m.
0
Let h(n) = 10*n**3 + 2*n**2 - 1. Let s be h(1). Let a(b) = -b**3 + 12*b**2 - 11*b + 3. Let x be a(s). Solve 2*i = l + 3*l + 6, 3*i - x = 0 for l.
-1
Let f be ((-5)/10*0)/(-2). Solve 13 = -3*l - z - f, -2*z = 4*l + 18 for l.
-4
Suppose 0 = -11*f + 5*f + 60. Suppose -5*v + 4*u + 0*u - f = 0, -2*u = -10. Solve -i - v*z = -7*z, -4*i = -3*z + 17 for i.
-5
Let o = 35 - 33. Solve -d - 5*x + 4*x = -4, 0 = 3*d + o*x - 7 for d.
-1
Let d be (6/7)/(5*(-22)/(-385)). Solve 3 = d*u + 4*t + 9, -2*u - t = 4 for u.
-2
Let j be (-360)/(-5)*1/3. Solve 5*h = -2*t + j + 5, 5*h - 3*t = 19 for h.
5
Let h(x) = -2*x - 58. Let l be h(-30). Let o = -1 + 3. Solve 3*m + g + 11 = -2, 0 = -l*g - o for m.
-4
Let k(b) = 13*b**3 - 1. Let h be k(1). Suppose -36 + h = -8*z. Solve 2*v - 16 = -r - 3*v, r + z*v = 10 for r.
1
Suppose 12*f - 300 = -0*f. Solve v = -5*i + f, v = 3*i - 3 - 12 for i.
5
Suppose -269 = -3*r - x, -3*x = r + 2*x - 85. Suppose -2*y - 3*y = -r. Solve -f = 4*f - 2*s, 0 = -4*f - 2*s + y for f.
2
Suppose -6 - 2 = -4*f. Suppose -s + 3*r + 2*r = -24, f*r + 28 = 5*s. Solve -6 = -3*k, -3*k = s*a - 4 - 2 for a.
0
Let b(g) = -g**3 - g**2 + 2*g + 2. Let q be b(-2). Let n be q*(-1)/(-8) + (-11)/(-4). Solve -14 = w + n*p, w + 4 = p - 2*p for w.
1
Let i = -95 - -142. Let b = i + -31. Solve -2*w + 8 = -g, 0*w + 4*w - 5*g = b for w.
4
Suppose 2*v - 15 = -5*l, 3*l - 1 - 8 = -5*v. Let u be 68/(-17) + -13*9. Let o = u - -138. Solve -5 = -v*r + r, 3*r + o = g for g.
2
Suppose -q = 2*q - 15, 10 = 5*f - 2*q. Let d(a) = -a**2 - a + 2. Let t be d(f). Let p be (-24)/t + 4/6. Solve 7*c = h + 3*c, -p*c = h for h.
0
Let m(h) = -15*h**3 - h - 2. Let d be m(-1). Let g be (4 - -2)*d/21. Solve l = -4*l - 10, -g*n + 5*l = -6 for n.
-1
Let v(m) = -m - 1. Let p be v(-3). Let x(c) = -4*c**2 + 18. Let b be x(-2). Solve o = -4*q + 16, 3*o - b = -q + p for o.
0
Suppose 0 = -146*m + 147*m - 4. Suppose 5*f + 10 = 5*j - 10, 0 = m*j + 5*f - 16. Solve -4*q + 8 = -2*d, -13 = -j*q - 4*d + 19 for q.
4
Let x = -127 + 211. Suppose 0*z = 2*z + x. Let w be 28/z*3*-2. Solve 0 = t - 8*i + 4*i + 5, w*t - 5*i = -20 for t.
-5
Let z(i) = i - 8. Let l be z(5). Let n be 2 + l*4/(-12). Solve -4*g + 3*m + 14 = -n*g, -3*g - 3*m - 6 = 0 for g.
2
Suppose -b + y = -9, 5*y = -3*b + 2*y - 3. Solve 0 = -b*r + 4*h, -5*h - 7 - 14 = 2*r for r.
-3
Suppose -6 = -5*o - 3*n + 13, 3*o + 3*n - 15 = 0. Let f = 52 - 33. Solve -7 = o*c + k, -c + f = -2*k - 2*k for c.
-1
Let o = -27 - -29. Suppose o*b + i + 2 = -3*i, -3*i + 3 = 3*b. Solve 5 = -3*v - 2*v - 5*w, b*v = 4*w + 25 for v.
3
Let c(l) = -66*l**2 + 2*l**3 + 23*l**2 - 11 + 10*l + 33*l**2 - 3*l**3. Let w be c(-11). Solve w = 5*z - 3*m - 21, -5*z - 3*m - 3 = -4*z for z.
3
Let i = 6 + -2. Suppose -i*y + w + 16 = -y, -2*w = y - 3. Suppose 5*s + j - 2 = -j, y*s - 5*j = 30. Solve 0*d = 4*d - 4, 0 = -s*n - 2*d for n.
-1
Let j = -5 + 3. Let w(r) = 2*r**3 + 7*r**2 + 7*r + 4. Let u be w(j). Solve -12 = f - m - 3, -u = 2*f + 2*m for f.
-5
Let v = 28 + -19. Suppose v + 6 = 5*d. Suppose d*q = 8*q - 65. Solve h - 2*k = -5, -q = 4*h - h - 5*k for h.
-1
Let r = 20 + -17. Suppose r = 5*q - 3*s, -s = 5*q + 4*s + 5. Solve q = n - 3*u + 12, 2*n - 4 = 3*u - 19 for n.
-3
Let o(h) = h**2 + 2*h - 1. Let t be o(-3). Suppose -5*a + 0*q = -4*q + 120, -130 = 5*a - t*q. Let n = -20 - a. Solve n*p - 5 = -5*r + 3*p, 2*p = -r for r.
2
Let p be 2/4*2*(-152 + 155). Solve -5*a - 5 = 4*r - 15, p*a - 6 = -4*r for r.
0
Let g = 190 - 187. Solve -l + g = 3*j, 5*j + 4*l = -0*l - 2 for j.
2
Let u = 46 + -2. Let y = 49 - u. Solve -y*d = 4*g + 8, 3*d - 3*g = -2*d + 6 for d.
0
Suppose -2*i = 4*h + 6, 2*i = h + 1 - 7. Let r be 1*(-1 + 0)*i. Solve 17 = -3*o + 2*m, 3*o - r = -2*m - m for o.
-3
Let j(h) = 2*h**2 + 29*h - 12. Let r be j(-15). Solve 4*y = 4*a + 28, a = r*y - y - 9 for y.
2
Suppose 0 = -3*c + 75 - 33. Solve 5*m - c = 2*m - 4*l, -l + 13 = -4*m for m.
-2
Let w = 65 - -8. Let a = 103 - w. Solve 6 = -5*o + 4*r + a, 3*r - 9 = -3*o for o.
4
Suppose 2*f - 5*a = 28, 3*f - a + 0*a - 16 = 0. Suppose w = 2*n + 2 + 3, n - 20 = -f*w. Solve 4*o = -w*z - 25, -2*o =
|
{
"pile_set_name": "DM Mathematics"
}
|
s -1/4 >= b?
False
Let b be (-2)/13 - (-44)/(-52). Is b > -6/19?
False
Let q be 3 + (-1)/(3/12). Which is smaller: q or -2/5?
q
Let r = 0.9 - 0.8. Let u = -0.03 + r. Let c = 1.07 - u. Which is greater: 5/3 or c?
5/3
Suppose 4*q = 24*q + 40. Let s(x) = -3*x**2 - 2*x**2 + 7*x + 4*x**2. Let t be s(7). Is q at most t?
True
Suppose -k - 1 = 4*s - 47, 4*k - 184 = s. Let y = k + -33. Is 13 < y?
False
Let s = 2.05 - 2. Let q = s + 0.65. Let f = q + -0.2. Which is greater: -0.1 or f?
f
Let a = -233/4 + 58. Let t = 3 + -1. Suppose t*g + 2*g = 0. Which is smaller: a or g?
a
Let p = 87 - 606/7. Let l(r) = -r**2 + 10*r - 4. Let b be l(4). Suppose -s + 2*k - 10 = 0, 3*s - 8*s = -4*k + b. Is p equal to s?
False
Let s = 0 + 0. Suppose 0 = -5*o - 10, -4*f + 2*o = -3*o - 18. Which is smaller: f or s?
s
Let j be (2 - (-18)/(-12))/((-2)/20). Which is greater: j or 0.1?
0.1
Let l = -35 - -33. Are -6 and l equal?
False
Suppose -2*o - 10 = -3*b, -3*b + 0*b = 3*o. Let m = -10 + o. Is -12 greater than m?
False
Suppose -g = -7 + 3. Suppose 0 = 4*a - 3 - 5. Which is smaller: a or g?
a
Let h(t) = -2*t + 1. Let m be h(3). Which is greater: -1 or m?
-1
Let y(a) = -a**3 + 4*a**2 - 6*a + 7. Let v be y(5). Let u = v + 241/5. Which is bigger: -1 or u?
u
Suppose 0 = -x + 6*x - 40. Let u = 8 - x. Let t = -175/4 - -44. Which is bigger: t or u?
t
Let q = -9 + 5. Let u = -3 - -2. Let z be (u + 3)/(2 + q). Is 1/3 at most z?
False
Let k = 1.1 + -0.1. Let d(a) = -2*a - 2. Let r be d(-2). Let f be r + 0 + (-15)/9. Which is smaller: f or k?
f
Let j = -0.1 - 0. Let l = -2.1 + 0.1. Is l <= j?
True
Let r be (-1)/(-2) + 1/(-2). Suppose r = -4*f + 2*o + 6, -4*f - 3*o - 2*o = 15. Suppose -2*v - 7*u + 2*u - 5 = f, 5*v - u + 26 = 0. Is 1 at most v?
False
Suppose -5 - 3 = -2*o. Suppose -k = o*k. Which is smaller: -2/3 or k?
-2/3
Let g be (4/6)/(1/3). Let r be (4/(-5))/(g/(-5)). Suppose -3*n = r*c + 4, -2*c - 3*c - n + 16 = 0. Is c > 5?
False
Let u be 5/(-9)*-3 + -1. Let a = -0.5 + 0. Let v = -0.3 - a. Is u < v?
False
Suppose -2*t + 4 = -4*t. Is t >= -2?
True
Let n = -9 + 8.6. Let y = -0.6 - n. Is y at most -3/8?
False
Let d = -86/3 + 28. Let c(x) be the third derivative of -x**4/24 - 7*x**3/6 + 2*x**2. Let s be c(-5). Is s at most as big as d?
True
Let x = 237353/6 + -39335. Let q = 225 - x. Which is bigger: 2 or q?
2
Let x = 0.2 + -0.2. Let t be (-2 + (-4)/6)*3. Let z(d) = -d**2 - 9*d - 6. Let v be z(t). Is v > x?
True
Suppose -2*h + 15 = -5. Suppose 5*d = 2*k - k + 19, -h = 2*k - 3*d. Is k at least as big as 6/17?
True
Suppose 0 = -5*l + 30. Let j(y) = y**2 - 7*y + 3. Let f be j(l). Let c be (0 - 0)/(f - -4). Is 2/3 at most c?
False
Suppose 0*b + b = 2*i - 13, -5*b = -4*i + 29. Which is greater: 7 or i?
7
Let u = -3.1 + 3.3. Let n = 2 + -2.2. Let x = n + u. Is -2 != x?
True
Let g be (-2 + 5/3)/1. Let q = 0.54 - 0.04. Let k = q - 0.3. Which is smaller: k or g?
g
Let v = 5.06 + -5. Let y = -0.36 + v. Let l = y + 0.3. Does -5 = l?
False
Let x be (-3 - -2)*(-5)/20*-4. Which is greater: x or 5/3?
5/3
Let r be (-8 - -2)*(-1)/(-2)*6. Which is smaller: -17 or r?
r
Let t = -37691/4 - -9475. Let p = -52 + t. Is p greater than or equal to -6/11?
True
Suppose 3*v - 5*v + 10 = 0. Which is bigger: 13/3 or v?
v
Let s = -6 - -10. Suppose -4*m = -5*m + 6. Suppose -u = -q - m*u - 13, 2*u = -s*q - 16. Which is smaller: -4 or q?
-4
Let h = 0.93 - 1. Let q = 0.67 + h. Let g = q + -0.3. Which is smaller: g or 1?
g
Let a = -2 + 7. Let r = a - 6. Which is smaller: 1 or r?
r
Let y = -3 - -3. Suppose -2*g + 0*g = y. Which is smaller: 4 or g?
g
Let o be (5*(-2)/2)/1. Let v(d) = d + 3. Let l be v(o). Let u be (l/4)/((-1)/(-2)). Is u <= 1/4?
True
Let i(j) = -j + 5. Let b = 14 - 10. Let q be i(b). Is q <= 0.1?
False
Suppose 2*z - 4*z - 70 = -5*i, i - 105 = 3*z. Let l = z + 50. Let k be (-10)/l - 20/(-21). Is k greater than or equal to 1?
False
Let w(o) = -5*o + 16*o + 1 + 0*o**2 - o**2 + 2*o**2. Let p be w(-11). Let h = 3 - p. Is h < 1?
False
Let z be (2/(-8))/(6/(-1588)). Let n = 66 - z. Let t be ((-28)/(-42))/((-10)/3). Is n >= t?
True
Let k = -39 - -38. Which is bigger: k or -1/29?
-1/29
Let h = -188/9 + 5291/252. Which is bigger: 0 or h?
h
Let m(j) = 2*j - 22. Let b be m(10). Which is bigger: 1/2 or b?
1/2
Suppose -3*t = t. Suppose 0 = -t*z - z. Let f = -13/9 + 1/9. Is z at least f?
True
Suppose -j + 2*c = -27, -2*j - 7*c + 2*c = -90. Is j at least 34?
True
Suppose -b + 3*h = -13, -2*h = 5*b - 6*h - 10. Let a be ((-10)/(-15))/((-32)/108). Which is smaller: b or a?
a
Let o = 4 - 1. Suppose 5*a = -2*j - 76, -2*a + o*a = 2*j + 88. Let d = j + 128/3. Which is bigger: 0 or d?
0
Let x = -0.06 + 0.02. Let l = -0.24 - x. Let f = -2.2 - l. Is f smaller than -1?
True
Let v = -841/8174 - -5/134. Let k = 163/305 - v. Which is smaller: k or 0.2?
0.2
Let t(r) = r**3 + r**2. Let f(q) = -7*q**3 + 2*q**2 - 8*q + 8. Let l(h) = f(h) + 6*t(h). Let w be (0 + 14)*1/2. Let m be l(w). Which is smaller: 2/5 or m?
2/5
Suppose -8*t - t = 2*t. Let g = -8 + 3. Is g equal to t?
False
Let l be -6*5/(-130)*-3. Which is greater: l or 0?
0
Let p = -6.02 + 6. Let w = 0 + p. Let g = 0.98 - w. Which is smaller: g or -2?
-2
Suppose b - 2 = 3*b. Suppose -p - 4 = -3. Are p and b non-equal?
False
Suppose 0 = h - 0*h - 7. Let i(y) = 2*y**2 + y + 8. Let c(q) = -q**2 - 4. Let l(r) = h*c(r) + 3*i(r). Let t be l(3). Are t and -4 equal?
True
Suppose 0*q - 2*q = 4*w, 14 = -4*w + 5*q. Let h = -29475742/94134887 - -2/184217. Let g = h + 2/73. Is w less than or equal to g?
True
Let m be (0 - 2) + (-20)/4. Do m and -10 have the same value?
False
Let m be 26/72 + 2/(-8). Let j(p) = 9*p - 11*p + 1 + 0 - p**2. Let c be j(-2). Is c at most m?
False
Let d = -2445694439 + 217796426872211/89053. Let k = -2/2071 + d. Which is greater: 1 or k?
1
Suppose 0 = -s - 4*s + 20. Let l be ((-12)/(-15))/((-1)/(-10)). Is l less than s?
False
Let m = -18 + 25. Let s = m - 6.9. Let q = 0 + 0. Is s at most as big as q?
False
Let u be (-1)/(-7)*2*-662737. Let j = u - -189011. Let s = -343 - j. Is -2 > s?
False
Suppose -3*a - 18 - 6 = -j, 2*a - 5*j + 29 = 0. Are a and -7 nonequal?
False
Let f be (15/9 - 2)/((-4)/24). Which is smaller: f or 6/11?
6/11
Let y = 10.6 - -2.4. Which is greater: y or -0.1?
y
Let i(l) = l**3 - 3*l**2 - 7*l + 8. Let r be i(4). Is -4 at least r?
True
Let u(n) = -11*n**2 + 6*n - 3. Let q(k) = -4*k**2 + 2*k - 1. Let g(z) = 8*q(z) - 3*u(z). Let o be g(2). Is 4/7 less than o?
True
Suppose 0 = r - 5*r - 2*q - 18, -3*q = 3*r + 21. Let o = 1.4 + -1.5. Is r > o?
False
Suppose -2 = -7*a + 5. Are 6 and a unequal?
True
Let p = -5 - -5. Suppose -15 = 3*w, p = 4*n + 4*w + 6 + 2. Is 3 at most n?
True
Let m = 218 + -255. Which is greater: -2 or m?
-2
Suppose 14*q = 13*q + 7. Suppose -5 = -q*x + 2*x. Is x less than -2/33?
False
Let n = -39 + 37. Is 0 at most n?
False
Let a = -8 + 5. Let h = 4 + a. Is h <= 3?
True
Suppose 8*p - 11*p = -18. Is 2 < p?
True
Let z(n) = -n**2 - 5*n + 3. Let s be z(-5). Suppose 5*w = s*l - 13, 3*l - 2*w - 3 = 4. Let r be (0 - (l - 2))*-3. Are -3 and r non-equal?
False
Let a(v) = -v**3 - 8*v**2 + 8*v - 11. Let n be a(-9). Is n < -3?
False
Let i(v) = -v**3 - 7*v**2 - 7*v - 8. Let s be i(-6). Which is greater: s or -6/7?
-6/7
Let x be (-1734)/45*3/(-2). Let g = x - 58. Let q(n) = -n - 4. Let i be q(-5). Do g and i have the same value?
False
Let l = -6 - -3. Let h = -2 - l. Let b = -1 - -1.3. Which is smaller: b or h?
b
Let a(n) = n**2 + n - 4. Let x = 5 + -9. Let s = x + 1. Let r be a(s). Is 3 at least as big as r?
True
Let f = -90264/16625 + 2/2375. Is -5 bigger than f?
True
Suppose 3*s - 620 = -p + 83, 0 = 2*p + 5*s - 1405. Let l = p - 27302/39. Which is smaller: 1 or l?
l
Let t be (0/4)/(2/2). Suppose -4*o - o - c + 22 = 0, -5*c - 30 = -3*o. Suppose 3*v - 4*v - o = t. Which is greater: 1 or v?
1
Let s = 8 + -13. Are s and -2 unequal?
True
Let p = 33/82 - 8647/21894. Which is bigger: 1 or p?
1
Let y be (-7 + 5)*2/(-4). Let k be -2 + (1 - (-7 + y)). Let t be ((-300)/(-27))/k - 2. Does 0.1 = t?
False
Suppose 4 = z + 2. Let s be (-2 + 1)*(z + -3). Let r be s/36 - 2/(-9). Which is smaller: -0.1 or r?
-0.1
Let q be 6/(-10) - 1*-1. Which is bigger: q or 0.01?
q
Suppose 0 = 5*u + 5*v - 60, -3*u + 2*v - 10 = -4*u. Suppose -21 + 1 = -4*p. Suppose x - 4 = 0, -2*x =
|
{
"pile_set_name": "DM Mathematics"
}
|
1))*(-3*i - 6*i + 5*i).
16*i
Expand -3*w**3 + 3*w**3 + w**3 + w**3 - 2 + 2 + (-w**3 - 4*w**3 + 4*w**3)*(3 - 2 - 3) + 5*w**3 - 4*w**3 + 2*w**3.
7*w**3
Expand (-2*g - 11 + 9 + 3*g)*(-5*g + 7 - 7).
-5*g**2 + 10*g
Expand (12*u - 19*u - 52*u)*(2 + 0 + 0).
-118*u
Expand -2*x**4 + x**4 - x**4 + (-2 + 2 - 2*x**3)*(-x - x + x) + 0*x + 0*x + x**4 + 4*x**4 - 5*x**3 + 5*x**3.
5*x**4
Expand 2*o**3 - 3*o**3 - 2*o**3 + (3*o**2 + 2*o**2 - 4*o**2)*(-3*o + 6*o - o) - 1 + 1 - o**3.
-2*o**3
Expand (-4*p + p + 4*p)*(4 + 2 + 3).
9*p
Expand (-z**2 + z**2 - 6*z**2)*(2*z**2 - 2*z**2 + z**2)*(-5 + 1 + 1).
18*z**4
Expand (-t**2 - t + t)*(t**2 - 2*t**3 - t**2) + 4*t**3 - 2*t**5 - 4*t**3 + 0*t**5 + 0*t**5 - 2*t**5 + (3*t**2 - 4*t**2 + 3*t**2)*(-2 - t**3 + 2).
-4*t**5
Expand (4 - 4 + 2*y)*(-6*y - 3*y - 7*y).
-32*y**2
Expand (-6*c - 5*c + 1 + 8*c)*(3 + 3 + 2).
-24*c + 8
Expand (-12*k**3 - 18 + 18)*(3*k + k - 2*k) - k**3 - k**4 + k**3 - 3 + 2*k**4 + 3 + (-1 - 2*k**4 + 1)*(3 - 2 - 3) + k**4 - 3*k**3 + 3*k**3.
-18*k**4
Expand (-3 + 3 - 1)*(-2*r + 3 - 3)*(-197*r + 195*r - 6 - 4).
-4*r**2 - 20*r
Expand -o + 4*o - 2*o + (3*o + 2*o - 3*o)*(0 + 3 - 4).
-o
Expand (6*m**2 - 4*m**2 - 5*m**2)*(6*m + 0 + 0) + (2*m**3 + 0*m**2 + 0*m**2)*(2 - 2 - 2).
-22*m**3
Expand h + 3 - 3 + (h - 4*h + 2*h)*(-4 + 1 + 1) + (-2 + 2 - 4*h)*(9 - 3 - 2).
-13*h
Expand (0 + 9 + 0)*(4*i - 4*i - 2 + 2*i**2).
18*i**2 - 18
Expand q**4 - 4*q**2 + 4*q**2 + (5*q**4 - 2*q**4 - 4*q**4)*(2 - 3 + 0) + 0 + q**4 + 0 - 2*q**4 + 0*q**4 + 4*q**4 + (5*q + 2*q**3 - 5*q)*(12 - 12 + 9*q).
23*q**4
Expand (-n + n - 3*n + 3*n - 3*n + n + (-2 + 0 + 4)*(3*n - 2*n - 2*n))*(4*n - n + n)*(0 - 3 + 4).
-16*n**2
Expand (-l + 3*l - l)*(0 - 2*l**2 + 0) + 388*l**2 - 177*l**3 - 388*l**2 + l**2 - l**2 - l**3.
-180*l**3
Expand (2*i + 0 + 0 + 7*i - 4*i + 4*i - 2*i + i + 0*i + (3 - 3 - 2)*(1 + 2*i - 1))*(-2*i + 4*i - 4*i).
-8*i**2
Expand 37*f**4 + 39*f**2 - 39*f**2 + (0*f + 2*f + 0*f)*(f**2 - f**2 - 2*f**3).
33*f**4
Expand -o**4 + o**4 - 2*o**4 + (2*o**4 + o**4 - o**4)*(-1 - 5 + 0).
-14*o**4
Expand (-144*z**2 + 144*z**2 + 7*z**3)*(-z - 2 + 2) + 5*z**4 - 4*z**4 - 2*z**4 + 2*z**4 - 2*z**4 + z**4 + (0*z**3 + 5*z**3 - 4*z**3)*(4*z - 4*z + 2*z).
-5*z**4
Expand (0*y - y - y)*(-48*y - y**3 + 48*y).
2*y**4
Expand 4*n + 5*n + 3*n + (3 + 1 - 2)*(-4*n - 4*n + 4*n) + (-1 + 2*n + 1)*(0 + 4 - 3) + 2*n - n - 2*n.
5*n
Expand (2*h - 2*h + h)*(-4*h + 2*h + 4*h) + 8 - 13*h**2 - 8 + (-h - h + h)*(3*h - 2*h + h).
-13*h**2
Expand (16 - 188 - 171 + 30)*(0*z**2 + 4*z**2 - 3*z**2).
-313*z**2
Expand -3*b**2 + b**2 - 1 + 7*b**2 + 2*b**2 + 2*b**2 - 3*b**2 + (-b + 0*b + 3*b)*(-5*b + 4*b + 2*b).
8*b**2 - 1
Expand (0*a + 0*a + 2*a)*(-1 + 1 - 2)*(3*a + 3*a - 5*a).
-4*a**2
Expand (-3 + 4 - 2)*(0*g**5 - g**5 + 0*g**5) - 31 - g**5 + 4*g**5 + 33.
4*g**5 + 2
Expand (-2*y + 19 - 19)*(-y**2 - 3*y**2 + 2*y**2) + y - y**3 - y.
3*y**3
Expand (-1 - 3 + 1)*(-3*q - q + 2*q + 2)*(4*q - q + 0*q).
18*q**2 - 18*q
Expand (-5 - 1 + 4)*(0 + 0 - 4*x**2).
8*x**2
Expand (4*p**2 + 2*p**2 - 4*p**2)*(p + 12*p**3 - p) + (-2*p**4 - 5 + 5)*(-p + 0 + 0).
26*p**5
Expand (0 + z + 0)*(6 - 4 - 20)*(4 + 2 - 3).
-54*z
Expand (2*k + 0*k + 2*k)*(-k**3 + k**3 - 2*k**3)*((0*k + 0*k + 2*k)*(-1 + 3 + 2) - 4*k - 2*k + 5*k).
-56*k**5
Expand (-3*q + 4*q - 5*q)*(2 + 2 + 0)*(0*q**2 + 5*q**2 - 4*q**2).
-16*q**3
Expand -f**4 - 3*f**4 + 5*f**4 + (f + 2*f**2 - f)*(5*f - 21*f - 4*f)*(f - 3*f + 0*f).
81*f**4
Expand (-5*b**5 - 2 - 388*b**4 + 388*b**4)*(-3 + 1 + 3).
-5*b**5 - 2
Expand 2*f - 2*f - 2*f + (-2 + 1 - 1)*(-21 + 12*f + 21).
-26*f
Expand (-4*c + 2*c + 5*c)*(5*c - 5*c + 2*c + (3 - 6 + 4)*(c + 1 - 1) - c + c + c).
12*c**2
Expand (-3*c - c + 8*c)*(0 - 2 + 10).
32*c
Expand 6*s**3 - s**2 - s**2 + 0*s**3 + (3*s**2 - 5*s**2 + s**2)*(-3*s - 3*s + 4*s).
8*s**3 - 2*s**2
Expand (-1 + 1 + 1)*(-j**2 + j**2 + 3*j**5) + 2*j**5 - 2 + 2 - 4*j**5 + 3*j**5 - 5*j**5.
-j**5
Expand (-2*r - 5 + 5)*(r**3 + 3*r - 3*r) + (-2 + 2 + 2*r)*(r**3 + 0*r**3 - 9*r**3).
-18*r**4
Expand -2*l**4 + l**4 - 8*l**4 + (-l**3 - l + l)*(-2*l + l + 2*l).
-10*l**4
Expand (3*j + j**3 - 3*j)*(-4*j**2 - 3 + 7*j - 7*j).
-4*j**5 - 3*j**3
Expand (0 - 4 + 2)*(-7*x + 51*x - 26*x).
-36*x
Expand (37*q - 37*q - 9*q**4)*(0*q - q + 2 - 1) - 4*q**5 + 4*q**5 + q**5.
10*q**5 - 9*q**4
Expand -1 + 1 - 4*n + (-3 + 3 - 2)*(n + n - n) + 2*n - 2*n - n + n + 2*n - 4*n + (3 - 4 + 2)*(3 - 3 + n) - 2 - 2*n + 2 + n + 3*n - 5*n.
-10*n
Expand (((-1 - 1 + 3)*(h + 0*h + 0*h) + 35 - 35 - 7*h)*(-2 + 1 + 0) + 2*h + 3*h - 3*h)*(2 - 6 + 0).
-32*h
Expand (-3 + 4 + 2)*((2*j - 2*j - 2*j)*(-3*j**2 + 3*j**2 + 4*j**2) + 3*j**3 + 0 + 0).
-15*j**3
Expand (-7*n**2 + n**2 + 4*n**2 - 1 + n**2 + 1 + (2 + n - 2)*(4*n - 19 + 19))*(2 - 2 - n)*(0*n + 2*n + n).
-9*n**4
Expand (4*d**2 - 8*d - 3*d**2 - 1 - 4*d)*(3*d + 0*d - d).
2*d**3 - 24*d**2 - 2*d
Expand (r + 2*r + 3*r)*(2 - 1 - 3)*(-5 + 2 + 2)*(-3 + 1 + 4).
24*r
Expand 2*m**2 - m**2 - 3*m**2 + (2*m + 2*m - 2*m)*(6*m - 2*m - 2*m) + (2 - 2 + 2*m**2)*(-1 + 1 + 6).
14*m**2
Expand (-2 - 2*j**2 + 2)*(-6 + 0 + 3) - j**2 - j + j - 3*j**2 + 0*j**2 + 0*j**2 + (-j**2 + 0*j**2 - j**2)*(1 + 1 - 4) - 2*j**2 + 5*j - 5*j.
4*j**2
Expand (2*q + 0*q - 4*q)*(-12 + 0 - 3)*(3*q - 3*q + 2*q).
60*q**2
Expand (6 - 3 - 2)*(-4*m + 5*m - 3*m) - 7*m + 0 + 4 - 2.
-9*m + 2
Expand 5*n**3 + 2*n**4 + 7*n**4 - 10*n**4 + 2 - 2 - 2*n**4 + (-n**3 + 0*n**2 + 0*n**2)*(n + 1 - 1).
-4*n**4 + 5*n**3
Expand 2*n**3 - 5*n**3 + n**3 + (2*n**3 - 5*n**3 - n**3)*(5 - 4 + 3).
-18*n**3
Expand (9 + 43 + 114 - 7)*(5*l**2 - l**2 - 2*l**2).
318*l**2
Expand (0 - 6 + 4)*(0*w - 2*w + 0*w)*(2*w + 1 - 1)*(139*w**2 - 70*w**2 - 72*w**2).
-24*w**4
Expand (-x**2 + 0 + 0)*(0*x**3 + 4*x**3 - 5*x**3) - 9*x**3 - 3*x**5 + 9*x**3 + x**5 - 5*x**5 + 5*x**5 + (-x**4 - x**4 + x**4)*(-5*x + 0*x + 3*x).
x**5
Expand (-4 + 3 + 3)*(4 - 1 - 1)*(0*x + 4*x - 2*x).
8*x
Expand ((-2 - 5*b + 2)*(-1 + 1 - 2) - b + 0 + 0)*(-4 - 4 + 5).
-27*b
Expand (-4*i + 0*i + 2 + 0*i)*(0 + 0 + 4*i**2).
-16*i**3 + 8*i**2
Expand (-8*i + 3 - 2 + 10*i)*(0 + 0 - 2*i).
-4*i**2 - 2*i
Expand (4*b - 3*b - 4*b)*(-2 - 1 - 2).
15*b
Expand (177 + 5*y - 177)*(-y**3 - 2*y**3 + 5*y**3) + 1 - 1 - 2*y**4.
8*y**4
Expand 3*h - h + 6 + 0*h + (3*h - 3*h - 2*h)*(-4 - 1 + 3).
6*h + 6
Expand (-3*l + 3*l - l)*(0*l**3 - l**3 - l**3) + (-1 - l**2 + 1)*(18 - 18 - 10*l**2).
12*l**4
Expand (-1 + 2 + 1)*(-2*w + 4*w - 4*w + (3*w - 5*w + 0*w)*(1 + 4 - 4))*(w - 5 + 5).
-8*w**2
Expand (3 - 4 - 1)*(-9 + 9 + 6*y)*(-1 + 1 - y**2).
12*y**3
Expand -4*c**2 - 3*c**2 - c**2 + 4*c**2 + 0*c**2 - 3*c**2 - 4*c**2 + 4*c**2 + c**2 + (-2*c**2 - c**2 + 5*c**2)*(0 + 5 - 3) + 0*c**2 - 2*c**2 + 0*c**2.
-4*c**2
Expand (5 + 1 + 0)*(x - x - x) + (-2 + 1 - 1)*(0*x - x + 0*x) - 3 + x + 3.
-3*x
Expand (0 - s + 0)*(1 - 15 - 13 - 1 - 1 + 3 + (-3 + 4 + 0)*(4 - 3 - 2)).
27*s
Expand (-s - 2 + 2)*(-s - 3*s**3 + s) + (-s**2 + 3*s**2 + 5*s**2)*(-4*s**2 - 3*s**2 + 5*s**2).
-11*s**4
Expand (163*r - 163*r + 17*r**2)*(0 + 0 - 2).
-34*r**2
Expand 63 - 16*k**4 - 63 + (k + 3 - 3)*(0 - 2 + 0)*(k**3 - 2*k**3 + 3*k**3).
-20*k**4
Expand (-4*a**2 + 4*a**2 - 2*a**2)*(2*a**2 + 2*a**2 - a**2)*(35 + 16*a - 35).
-96*a**5
Expand -2 + 2 - x + x + x - 5*x + (2 - 2 - x)*(-3 + 4 - 3).
-2*x
Expand (l + 0*l - 3*l)*(2*l**3 + 3*l**3 - 6*l**3) - 4*l**4 + 5*l**4 - 2*l**4 - 13*l**2 - 19*l**2 + 3*l**4 + 34*l**2.
4*l**4 + 2*l**2
Expand -h - h + 3*h + (0 + 0 + 2)*(-h + 2 - 2) + 0 + 0 - h + (h - 5*h + 3*h)*(-1 + 3 - 1).
-3*h
Expand 2*s**3 + 0*s**2 - 6*s**2 + 2*s**2 + (s**2 - 2*s**2 + 3*s**2)*(3*s - 3*s + 2*s).
6*s**3 - 4*s**2
Expand (5*v - 3*v - 3*v)*(-3*v**2 + 3*v**2 - 4*v**2) - 8*v**2 - 40 + 40 - 2*v**3.
2*v**3 - 8*v**2
Expand (s - 3*s - s)*(-1 - 2 + 1)*(5*s - 6*s + 9*s)*(-2 + 2 - s).
-48*s**3
Expand 3*k**2 - 2*k**2 - 3*k**2 + 4 - 4 + 2*k**2 + 0*k - k**2 + 0*k + (-2*k**2 + 2*k - 2*k)*(5 - 4 + 1) + k**2 - 4*k + 4*k.
-4*k**2
Expand (3*t**2 + 2*t**2 - 3*t**2)*(0*t + t + 0*t)*(5*t - t - t).
6*t**4
Expand (g**2 - 3*g + 3*g)*(-11 + 11 + 4) - 9*g**2 - g**2 + 2*g**2.
-4*g**2
Expand (-8*l - l + 3*l)*(-1 - 2*l - 2 + 5).
12*l**2 - 12*l
Expand ((2 + m - 2)*(-1 - 2 + 1) + m + 0 + 0)*(-4*m**4 + 15 - 15).
4*m**5
Expand (-2 - 2 + 2)*(-1 + 1 + 1)*(2*v + 2*v + 5*v).
-18*v
Expand (2*p**2 + 2*p - 2*p)*(p + 0*p + p) + (p + 13*p - 9*p)*(-5*p + 3*p + p)*(0*p - p + 3*p).
-6*p**3
Expand
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of -8*v**3 - 4*v**a + 0*v**3 - 10*v**3 + 5*v**3 wrt v?
-78
Let d(n) be the third derivative of 112*n**5/15 - 5*n**4/24 - 2*n**3/3 + n**2 + 247*n. Find the second derivative of d(b) wrt b.
896
Let u be ((-60)/(-24))/((-5)/(-12)). What is the third derivative of 2*r**u - 16*r**2 - 11163*r**4 + 11163*r**4 wrt r?
240*r**3
Let d = 2 + 3. Suppose d*s = s + 8. What is the third derivative of -4*x**3 + 24*x**s - 28*x**2 - 3*x**5 + 4*x**3 wrt x?
-180*x**2
Find the second derivative of -140*s - 4*s**4 - 7 + 6 + 11*s**5 + 1 + 9*s**4 wrt s.
220*s**3 + 60*s**2
Find the second derivative of 0*d + 3333 - 91*d**3 - 3*d - 3343 + 10*d**3 wrt d.
-486*d
Let i(f) = -f**3 - f**2 - f - 1. Let l(t) = -327*t**3 + 137*t**2 + 4*t + 4. Let z(c) = -4*i(c) - l(c). Find the third derivative of z(m) wrt m.
1986
Find the third derivative of -8*k - 2472*k**3 + k**2 - 3*k**2 + 2444*k**3 - 5*k wrt k.
-168
Let w(p) = -1103*p**3 + 635*p**2. Let f(g) = -368*g**3 + 212*g**2. Let z(o) = -7*f(o) + 2*w(o). What is the third derivative of z(m) wrt m?
2220
Let u(v) be the first derivative of -v**8/120 - v**6/36 - 5*v**3 + 24. Let c(m) be the third derivative of u(m). What is the third derivative of c(b) wrt b?
-336*b
What is the second derivative of -348*z**4 + 233*z + 167*z**4 + 146*z**4 - 2*z**3 wrt z?
-420*z**2 - 12*z
Find the first derivative of -m + m - 2084 + 2688 - 736*m**4 wrt m.
-2944*m**3
What is the derivative of -165*c + 547*c + 56 - 245*c + 15 wrt c?
137
Let t(k) be the first derivative of -99*k**7/7 - 104*k**3/3 + 9. What is the third derivative of t(j) wrt j?
-11880*j**3
Let v(z) = -2*z**2 + 8*z - 4. Let a be v(3). Differentiate 12 - a - 9*i**3 + 13*i**3 wrt i.
12*i**2
Let g(r) = -5*r**3 - r. Let d be g(-1). Let c = 12 - d. Find the third derivative of 5*a - 5*a - 46*a**6 - 6*a**2 + 45*a**c wrt a.
-120*a**3
Let u be 1 + 2/10*5. What is the second derivative of 10*f**3 + 18*f + 11*f**3 + u*f**3 wrt f?
138*f
Let s(v) be the first derivative of -v**6/24 + 5*v**4/12 - 3*v**2 + 12. Let a(z) be the second derivative of s(z). What is the second derivative of a(i) wrt i?
-30*i
Let v(z) = 71*z**3 - 24*z**2 + 2. Let r(j) = 354*j**3 - 120*j**2 + 11. Let m(x) = -2*r(x) + 11*v(x). What is the third derivative of m(p) wrt p?
438
Let s(g) be the second derivative of 0*g**6 + 0*g**2 + 7*g + 0*g**7 - 3/14*g**8 - 1/6*g**4 + 0 + 0*g**5 + 0*g**3. Find the third derivative of s(q) wrt q.
-1440*q**3
Let c(r) be the first derivative of 631*r**3/3 + 17*r**2 + 4*r + 96. Find the second derivative of c(k) wrt k.
1262
Find the third derivative of -277 - 4*d**2 + 277 + 4*d**4 - 2*d**5 - 4*d wrt d.
-120*d**2 + 96*d
What is the derivative of 17 + 25 + 15 - 15*a - 46 wrt a?
-15
Let w(m) = 16*m**3 - 3*m**2 + 2*m. Let u be w(1). Differentiate d**3 + 7*d**3 + u + 14 + 1 with respect to d.
24*d**2
Suppose 4*x - 11 = -3. Find the second derivative of -102*a**2 + 94*a**2 - x*a - 1 + 1 wrt a.
-16
Let b = 1 + -19. Let w = -14 - b. What is the derivative of -14 - 10*l + 4 + w wrt l?
-10
Differentiate 3949*g**2 + 11 + 5*g - 7904*g**2 + 3927*g**2 wrt g.
-56*g + 5
Let u = -33 + 33. Suppose -7*s + 13 + 1 = u. What is the third derivative of 845*n**4 - 845*n**4 - 2*n**s + 11*n**5 wrt n?
660*n**2
Let y(g) be the third derivative of -g**8/560 - g**5/120 - 4*g**3/3 - g**2. Let c(d) be the first derivative of y(d). Find the second derivative of c(m) wrt m.
-36*m**2
Let p(m) = -6 - 2*m**3 + 0*m**3 + m**3 + 5. Let r(w) = -8*w**3 - 4. Let n(d) = 2*p(d) - r(d). Differentiate n(c) with respect to c.
18*c**2
Let s(x) = 2*x - 1. Let t be s(2). What is the third derivative of 9*d**2 + 27*d**3 + 3*d**t - 5*d**3 + d**2 wrt d?
150
Suppose -6*s + s + 50 = 0. Suppose -s = -2*m - 2*d, 0 = -m + 2*d - 4 - 0. Find the first derivative of 12*z**2 + 0*z + m*z - 2*z + 5 wrt z.
24*z
Let i(y) be the second derivative of 1/4*y**4 + 14/3*y**3 - 33*y + 0*y**2 + 0. Find the second derivative of i(x) wrt x.
6
Find the third derivative of -3*x**2 - 56789*x - 3*x**6 + 56789*x + 34*x**6 - 4*x**4 wrt x.
3720*x**3 - 96*x
Find the second derivative of -140*u**2 - 10*u - 4*u**2 - 148*u**2 + 13*u - 30 - 10 wrt u.
-584
Let d(p) be the second derivative of -32*p + 0*p**5 + 0*p**4 + 9/10*p**6 + 4*p**2 + 0 + 0*p**3. Find the first derivative of d(w) wrt w.
108*w**3
Find the second derivative of -86*l**4 + 21*l - 379*l + 717*l**4 - 192*l + 44*l wrt l.
7572*l**2
Find the third derivative of 4593*g**4 - 4593*g**4 - 207*g**2 - 141*g**6 wrt g.
-16920*g**3
Let r(o) be the second derivative of 0*o**2 - o**4 + 7/3*o**3 + o + 0. What is the second derivative of r(w) wrt w?
-24
Let m be (-33)/55*(-1)/12. Let f(p) be the third derivative of 0 - m*p**5 + 0*p + 0*p**4 + 1/6*p**3 + 3*p**2. What is the first derivative of f(r) wrt r?
-6*r
Suppose 0 = 2*q - 5*q + 264. Let k be q/(-33)*(-3)/2. Find the third derivative of -8*l**2 + 2*l**2 - 4*l**2 - 2*l**k wrt l.
-48*l
What is the third derivative of -12*j**2 - 7*j**5 + 19*j**2 - j**6 + 24*j**2 - 15*j**5 wrt j?
-120*j**3 - 1320*j**2
Let j = 29 + -26. What is the third derivative of 22*b**j + 23*b**5 - 12*b**3 - 28*b**2 - 10*b**3 wrt b?
1380*b**2
Let v(z) be the first derivative of 21*z**2/2 + 44*z - 89. Differentiate v(r) with respect to r.
21
Suppose -50 = -5*p + 10. Suppose -2*v + 6 = 5*m - p, 4*m + 3*v - 20 = 0. Find the second derivative of 11*i + m*i**5 - 2*i**5 - 3*i + 8*i**5 wrt i.
160*i**3
Let s(i) be the second derivative of -217*i**6/30 - i**3/6 + 9*i**2/2 + 172*i. What is the second derivative of s(z) wrt z?
-2604*z**2
Let t(o) be the first derivative of 287*o**4/4 - 21*o + 376. Find the first derivative of t(f) wrt f.
861*f**2
Let p(x) be the first derivative of 65*x**7/7 + 26*x**3/3 - 89. Find the third derivative of p(o) wrt o.
7800*o**3
Let s(u) be the third derivative of 23*u**5/30 - 7*u**4/24 - 2*u**2 + 86. What is the second derivative of s(p) wrt p?
92
Suppose 2*c + 11 = c - 4*g, -2*c - 4*g - 14 = 0. Let x be (c + (-38)/(-4))*2. Find the first derivative of 8 - 17 + x + 4*w**3 + 3 wrt w.
12*w**2
Let p = 27 + -24. What is the third derivative of -6*k**p + k**3 + 7*k**3 + 14*k**2 wrt k?
12
Let i be 6/4*16/12. Suppose 0 = n + 3*l + 2, 0 = -0*n + 4*n + i*l - 22. What is the first derivative of 8 + 2*d - n + 12 - 3*d wrt d?
-1
Let q(g) be the first derivative of 13*g**3/6 - 5*g**2 - 38*g - 20. Let w(h) be the first derivative of q(h). What is the derivative of w(c) wrt c?
13
Let m(r) be the first derivative of 35*r**6/6 + r**4/2 - 293*r**2/2 - 42. Find the second derivative of m(q) wrt q.
700*q**3 + 12*q
Let i = -48 + 67. Find the third derivative of -6*n**5 + 5*n**4 + i*n**5 - 20*n**2 - 5*n**4 wrt n.
780*n**2
Let w(m) = 30*m**3 + 2*m**2 - m - 4. Let l(t) = t**2 - t - 1. Let z(a) = -2*l(a) + w(a). What is the second derivative of z(r) wrt r?
180*r
Let a be (-1)/((-4)/40) + -2. Let j = -4 + a. Find the second derivative of -2*r + 8*r - r**5 + 3*r**5 + j*r**5 wrt r.
120*r**3
Let i be -8 - ((1 - 0) + 1). Let z = i - -14. Find the second derivative of z*q**2 - 3*q - 3*q + 5*q - 3*q wrt q.
8
Find the third derivative of 13*a**5 - 12*a**2 + 60 + 50*a**5 + 61*a**5 + 10*a**2 wrt a.
7440*a**2
Suppose -2*o + 5*k = 0, o + k - 17 = -2*o. Suppose 4 + 16 = o*n. What is the second derivative of 3*x**n - 20*x + 6*x - 2*x**4 - 2*x**4 wrt x?
-12*x**2
Differentiate -156 - 249 + 8*n - 40 + 49 + 156*n wrt n.
164
Let o(b) be the first derivative of -207*b**4/2 - 29*b**3 - 875. Find the third derivative of o(g) wrt g.
-2484
Suppose 4*y + 6 = 7*y. What is the third derivative of -4*n + 0*n - n**y + 4*n - 10*n**3 wrt n?
-60
Let z(t) be the second derivative of 761*t**5/20 - 29*t**4/12 - 7*t**2/2 + 8*t + 14. What is the third derivative of z(l) wrt l?
4566
Let x(u) be the second derivative of -u**5/20 - u**3/3 - 9*u**2/2 + 9*u. Let z(m) be the first derivative of x(m). Find the first derivative of z(s) wrt s.
-6*s
Let u(q) be the first derivative of 13*q**5/20 - q**4 - 23*q - 7. Let a(z) be the first derivative of u(z). Find the third derivative of a(j) wrt j.
78
Let c(w) be the first derivative of w**4/3 + 11*w**2 - 20*w - 13. Let q(h) be the first derivative of c(h). Differentiate q(r) with respect to r.
8*r
Suppose -4*t + 233 = -5*h, 2*t + 109 = 4*t - 5*h. Find the second derivative of -t*j**3 + 101*j**3 - 50*j**3 - 12*j wr
|
{
"pile_set_name": "DM Mathematics"
}
|
Let f(b) = a*r(b) + 72*o(b). Let d(x) = -17*x**2 + 12*x**2 + 8*x**2. Give d(f(u)).
972*u**4
Let w = -1185 - -1294. Let v(l) = -8*l - 99*l + w*l. Let p(n) be the first derivative of 11*n**3/3 - 1. Determine v(p(y)).
22*y**2
Let c(d) = 328*d**2. Let x(g) be the second derivative of -g**4/12 + 646*g. What is x(c(r))?
-107584*r**4
Let m(z) = 6438*z**2 - 296. Let j(r) = -65*r**2 + 3. Let g(t) = 296*j(t) + 3*m(t). Let f(d) = -3*d**2. Give g(f(w)).
666*w**4
Let h(y) = -5*y. Let n(m) = -m**2 - 50616*m. Give n(h(o)).
-25*o**2 + 253080*o
Let v(l) = -5*l - 2*l + 3*l - l**2 + 2*l. Let y(p) = 66088*p - 33044*p - 33041*p. Give v(y(h)).
-9*h**2 - 6*h
Let q(c) be the first derivative of -c**3/3 - 2. Let l = -540 - -1226. Let p(x) = l - 686 - 13*x. Determine q(p(h)).
-169*h**2
Let i(q) = -8*q - 4. Suppose -7*u + 63 = 2*a - 8*u, 12 = -4*u. Let h(t) = 2 - 2 - a*t + 28*t. Let o(v) = v. Let w(s) = 4*h(s) + 10*o(s). Calculate i(w(b)).
-16*b - 4
Let g(t) = -33953*t**2. Let f(i) = -18*i + 19. Give f(g(w)).
611154*w**2 + 19
Let x(i) = 2*i**2. Let j(c) be the first derivative of c - 68. Let g = 152 + 16. Let v(z) = -4*z + 28. Let p(q) = g*j(q) - 6*v(q). Determine x(p(d)).
1152*d**2
Let j(d) = -4*d. Let i(t) = 92*t**2 - 9*t - 9. Let m = -110 - -144. Let r(p) = -2 + 13*p - m*p + 23*p**2 + 19*p. Let v(a) = -2*i(a) + 9*r(a). What is j(v(c))?
-92*c**2
Let f(p) = -4387*p**2. Let h(u) = 5*u**2 - 24*u. Let w(i) = -12*i**2 + 60*i. Let k(j) = 10*h(j) + 4*w(j). What is f(k(a))?
-17548*a**4
Let r(k) = -2*k. Let m(y) = 18 + 18*y - y**3 + 8*y**2 + 27*y - 38*y. Let a be m(9). Let o(p) = -4*p - 14*p + a*p - 11*p. What is o(r(x))?
58*x
Let x(j) = -4952200*j. Let b(y) = 266*y. Calculate x(b(l)).
-1317285200*l
Let t(s) = -20*s**2 - 4*s. Let x(n) = -17*n**2 + 33*n - 11. Let u(k) = 13*k**2 - 2 - 21*k**2 + 5*k**2 + 6*k. Let g(b) = -11*u(b) + 2*x(b). Determine t(g(c)).
-20*c**4 + 4*c**2
Let n(c) be the second derivative of 0 + 1/4*c**4 + 0*c**2 + 0*c**3 + 323*c. Let b(x) = 7*x**2. Calculate n(b(s)).
147*s**4
Let l(q) = 352197*q**2. Let i(m) = 68*m. What is l(i(v))?
1628558928*v**2
Let f(u) = -u. Let t(l) be the first derivative of -5*l**4/4 - l**3/6 + 167*l**2/2 + 95. Let y(p) be the second derivative of t(p). Give f(y(x)).
30*x + 1
Let s(z) = -9*z - 1 - 8*z - 5*z + 21*z. Let l(y) = 0 + 8*y - 1 + 8. Let u(n) = 3*l(n) + 21*s(n). Let x(c) = -c. Determine x(u(f)).
-3*f
Let d(z) = -15*z**2. Let v(l) = -24*l**2. Let u(i) = 5*d(i) - 3*v(i). Let f(p) = -485*p. Give u(f(r)).
-705675*r**2
Let m(r) = 3*r**2 - 1 + 1. Let b(w) = -68 - 3148*w + 1572*w + 1574*w. Give m(b(i)).
12*i**2 + 816*i + 13872
Suppose 8*r = -9*r + 34. Let z(l) = 5*l**r + 9123*l - 9123*l. Let k(c) = 17*c**2. Determine z(k(f)).
1445*f**4
Let q(p) be the third derivative of -p**5/12 + 135*p**2. Let g(n) be the second derivative of -n**4 - 27*n. What is g(q(c))?
-300*c**4
Let m(d) be the second derivative of 0*d**3 + 110*d - 1/4*d**4 + 0*d**2 + 0. Let a(u) = -7*u. Give m(a(y)).
-147*y**2
Let o(i) = 220603966*i**2. Let r(v) = v. Calculate o(r(u)).
220603966*u**2
Let a(k) = 20*k**2. Let g(l) = -6*l + 30. Let r(v) = 2*v - 9. Suppose -4*z + 10 = -5*w, -3*w - z - 24 = -1. Let p(u) = w*g(u) - 20*r(u). Calculate p(a(s)).
-80*s**2
Let p(h) = 59 + 78*h**2 - 27 - 32 + 14*h**2. Let u(t) = 3*t**2. Determine u(p(s)).
25392*s**4
Let b = 60 + -58. Let p(c) = -11*c**b + 23*c**2 - 6*c**2 - 4*c**2. Let s(q) = 4*q + 60*q**2 - 51*q**2 - q. Give p(s(u)).
162*u**4 + 108*u**3 + 18*u**2
Let s(a) = 14*a - 10*a - 3*a. Let t(w) be the first derivative of 52*w**3/3 + 252. Give t(s(r)).
52*r**2
Let s(r) = -196*r. Let h(z) = -284*z - 275. Calculate s(h(v)).
55664*v + 53900
Let g(m) be the first derivative of m**2/2 + 1136. Let j(r) = 6*r**2 - 1369*r. What is j(g(b))?
6*b**2 - 1369*b
Let r(i) = 2*i**2. Suppose -13*t + 16*t + 4*t = 0. Let x(d) = -39*d + 54*d + t + 0. Determine r(x(y)).
450*y**2
Let s(i) = -i. Let a(l) = 61*l - 4224. Determine s(a(d)).
-61*d + 4224
Let w(j) = 3*j**2 - 1. Let q = 175 - 173. Let x(c) = 7*c**q + 9*c**2 - 24*c**2 + 9*c**2. What is w(x(d))?
3*d**4 - 1
Let l(t) = -9*t. Let r(g) be the third derivative of -g**6/120 - 5*g**3/2 - 2*g**2 - 25. Let k(s) be the first derivative of r(s). What is l(k(o))?
27*o**2
Let r(f) = 2186*f. Let t(p) = -4*p**2 - 14*p - 7. Let c(h) = 5*h**2 + 18*h + 9. Let o(m) = 7*c(m) + 9*t(m). Calculate o(r(v)).
-4778596*v**2
Let v(t) = -115*t - 4. Let p(b) = 8*b**2 + 85*b + 1. Give p(v(j)).
105800*j**2 - 2415*j - 211
Let x(i) = -3*i. Let m(g) be the second derivative of g**3/6 - 5*g**2/2 + 2*g. Let c(n) = -4*n + 16. Let f(y) = -5*c(y) - 16*m(y). What is x(f(q))?
-12*q
Let n(b) be the first derivative of -4/15*b**5 + 1 - 2*b**3 + 0*b**4 + 0*b**2 + 0*b. Let x(s) be the third derivative of n(s). Let h(k) = k**2. Give h(x(u)).
1024*u**2
Let a(y) be the first derivative of 11*y**3/3 - 5*y + 1. Let n(x) = 3*x - 12*x - 11*x + 57*x - 12*x - 23*x. Determine a(n(z)).
44*z**2 - 5
Let x(q) be the second derivative of -17 + 0*q**3 + 0*q**2 + q - 5/6*q**4. Let s(f) = -4*f**2. Calculate s(x(r)).
-400*r**4
Let q(f) = 2*f**2. Let w(t) = 4834061*t. Calculate q(w(v)).
46736291503442*v**2
Let q(j) = -2*j. Let l(g) = g**3 + 23*g**2 + 47*g + 40. Let x be l(-20). Let y(u) = 321*u + x*u - 584*u. Give q(y(w)).
-74*w
Let k(l) = -l**2 + 2*l + 602. Let s(r) = 13*r - 8. Calculate k(s(a)).
-169*a**2 + 234*a + 522
Let x(n) = -2*n**2 + 8*n**2 + 2*n**2. Let a(f) = 19*f - 10. Let q(y) = -46*y + 24. Let t(h) = 12*a(h) + 5*q(h). Give t(x(l)).
-16*l**2
Let z(h) = 11*h + 72. Let k(t) = 12*t + 78. Let u(f) = -12*k(f) + 13*z(f). Let p(l) = 7996*l. Determine u(p(w)).
-7996*w
Let j(k) = 6*k**2. Let g(w) = 539480*w**2. Give g(j(s)).
19421280*s**4
Let j(y) be the first derivative of -2*y**3/3 + 841. Let v(g) = -81*g**2 + 3. Determine v(j(c)).
-324*c**4 + 3
Let d(n) = 643*n. Let i(m) = -5294*m**2. What is i(d(v))?
-2188799006*v**2
Let t(j) = -7*j**2 + 2. Let c(p) = p**2 - p - 15. Let b(a) = 10*a + 150. Let v(k) = -b(k) - 10*c(k). Give t(v(s)).
-700*s**4 + 2
Let r(g) = -36*g - 173148. Let d(i) = -i**2. Determine r(d(q)).
36*q**2 - 173148
Let z(t) be the first derivative of t**2/2 + 106*t - 5776. Let i(s) = 28*s**2. What is i(z(l))?
28*l**2 + 5936*l + 314608
Let j(m) = 468423*m - 468423*m + 4987*m**2. Let s(y) = 2*y**2. What is s(j(o))?
49740338*o**4
Let u(b) be the second derivative of -b**4 + 19*b. Suppose -15 = 38*o - 35*o. Let j(d) = -21*d. Let z(n) = 6*n. Let c(r) = o*j(r) - 18*z(r). What is c(u(s))?
36*s**2
Suppose 4*a + 4*h + 12 = 0, 5*a + 6 = -3*h + h. Let k(j) = 0 + a*j + 2*j + 0. Let b(n) be the third derivative of -n**5/6 - 235*n**2. Give b(k(o)).
-40*o**2
Let s(f) = -67*f - 3. Let q(u) be the third derivative of 17*u**4/24 - 7280*u**2. What is q(s(b))?
-1139*b - 51
Let z(c) = -3*c. Let s(h) be the third derivative of 0*h**4 + 8/15*h**5 + 3 + 0*h**3 + 0*h + h**2. What is z(s(w))?
-96*w**2
Let l(f) = 186*f**2. Let o(z) = -148*z**2 - 143*z**2 - 146*z**2 + 425*z**2. Calculate o(l(a)).
-415152*a**4
Let p(q) = -3357173*q. Let o(z) = -4*z**2. What is p(o(s))?
13428692*s**2
Let p(q) = -2*q**2 + 904. Let l(w) = -2*w - 1261. Determine p(l(s)).
-8*s**2 - 10088*s - 3179338
Let u(p) be the first derivative of 145*p**3/3 - 1369. Let k(r) = 3*r. Calculate k(u(x)).
435*x**2
Let m(h) = 4*h**2. Let f(g) = 11385*g - 2567. What is f(m(r))?
45540*r**2 - 2567
Let n(i) = 22*i**2. Let t(k) be the second derivative of k**3 + k**2/2 - 38*k. Let r(m) = 4*m**2 + 12*m + 2. Let x(y) = r(y) - 2*t(y). Determine n(x(w)).
352*w**4
Let r(w) = -1 + 8*w - 27*w + 18*w. Let j(c) = -8*c - 1. Let v(i) = -j(i) + r(i). Let a(n) be the second derivative of -n**4/4 - n. Give v(a(b)).
-21*b**2
Let s(c) = c**2. Let r(q) = 2095551*q. Determine r(s(a)).
2095551*a**2
Suppose w = -2*y - 60, -3*y + 0 = 9. Let p = -52 - w. Let h(a) = 3*a**2 - 3*a**2 - 2*a**2 + 4*a**p. Let q(u) = -2*u. Calculate h(q(d)).
8*d**2
Let g(y) = -30*y. Let c(i) = -319532*i. Determine c(g(s)).
9585960*s
Let i(h) = 120*h + 87. Let z(f) = 1052*f + 9. Determine i(z(k)).
126240*k + 1167
Let r(b) = 185*b**2. Let s(p) = 117302*p**2. Calculate s(r(d)).
4014660950*d**4
Let f(u) = 198*u. Let v(p) = 2638*p**2 - 4*p. Determine v(f(b)).
103420152*b**2 - 792*b
Let s(a) be the first derivative of -7*a**3/3 + 2571. Let t(l) = 132*l. Determine
|
{
"pile_set_name": "DM Mathematics"
}
|
i**2 + 92*i**3.
92*i**3
Collect the terms in -156*k**2 + 234*k**2 - 78*k**2 + 155317*k**3.
155317*k**3
Collect the terms in -602406*w + 46 - 46.
-602406*w
Collect the terms in 10226 - 51*h + 52*h - 28 - 40.
h + 10158
Collect the terms in 2 - 85*p**2 - 81*p**2 + 264*p**2 - 2 - 102*p**2.
-4*p**2
Collect the terms in 449*u**2 - 1169*u**2 + 434*u**2 + 451*u**2 - 4*u**3 + 452*u**2 - 617*u**2.
-4*u**3
Collect the terms in -618007*k + 309014*k - 208*k**2 - 1 + 1 + 308996*k.
-208*k**2 + 3*k
Collect the terms in -w**3 - 515*w + 520*w - 7342 - 39457.
-w**3 + 5*w - 46799
Collect the terms in -1457*r**3 + 496*r**2 - 198*r**2 - 167*r**2 - 131*r**2.
-1457*r**3
Collect the terms in -49*o**2 + 0 - 47 + 45*o**2 + 2*o**3 + 4*o**2 - 3*o**3.
-o**3 - 47
Collect the terms in -29*l - 28*l - 37*l + 0*l - 28*l - 27*l + 158*l.
9*l
Collect the terms in 514*z - 4 + 464*z + 495*z + 397*z + 4 - 1703*z.
167*z
Collect the terms in -6 + 1 - 74*i**2 + i**2 - 4 + 8 - 3*i.
-73*i**2 - 3*i - 1
Collect the terms in -370*o**3 - 230*o**3 + 521*o**3 + 10.
-79*o**3 + 10
Collect the terms in -91179 - 22*m**2 + 182183 + m**2 - 91005.
-21*m**2 - 1
Collect the terms in -45 - 44 + 89 - 3*f**2 - 568520*f + 568520*f.
-3*f**2
Collect the terms in -21 - 2117305426*j**2 + 2117305431*j**2 + 21.
5*j**2
Collect the terms in -194402*c - 5 - 2 + 198*c**2 + 2 + 194402*c + 7.
198*c**2 + 2
Collect the terms in 57601 - 172797 - 16*y**3 - 3*y**3 + 57596 + 57600.
-19*y**3
Collect the terms in -55621*r**3 - 55695*r**3 + 111315*r**3 - 4*r + 4*r.
-r**3
Collect the terms in 120 + 124 + 352*y - 244 + 13*y.
365*y
Collect the terms in -8*j - 205*j - 225*j + 75*j - 281*j - 121*j.
-765*j
Collect the terms in -4899469125763 + 4899469125763 + 2*d.
2*d
Collect the terms in -1543*h**2 + 904*h**2 + 732*h**2 - 2 - 3 + 3.
93*h**2 - 2
Collect the terms in 24241*u + 24668*u - 49010*u.
-101*u
Collect the terms in -31 + 151*t - 1460*t + 95*t.
-1214*t - 31
Collect the terms in -8914305*a**2 + 4457048*a**2 + 4457135*a**2.
-122*a**2
Collect the terms in -3*t**3 + 88484552*t**2 + 88484555*t**2 - 176969107*t**2.
-3*t**3
Collect the terms in 2758*v**2 + 3214*v**2 - 2*v + 2*v - 5470*v**2 - 4.
502*v**2 - 4
Collect the terms in -7*i**3 - 16*i**3 + 5*i**3 - 4466*i.
-18*i**3 - 4466*i
Collect the terms in 10386*z + 11680*z + 1331*z.
23397*z
Collect the terms in -24*v**3 + 43*v**3 + 1 - 38*v**3 + 21*v**3 - 1.
2*v**3
Collect the terms in -16*c**3 - 489 + 20*c**3 - 3*c**2 + 448.
4*c**3 - 3*c**2 - 41
Collect the terms in -3739*c**3 + 1580*c**3 + 2044*c**3.
-115*c**3
Collect the terms in -28 + 379*n - 25 - 376*n - 20 + 3 + 66.
3*n - 4
Collect the terms in -46913 + 12043 + 12061 + 2*r + 0*r + 22809.
2*r
Collect the terms in 3553*l + 3530*l + 3538*l + 15 - 10626*l.
-5*l + 15
Collect the terms in 1794*w**3 - 30 - 975*w**3 - 1030*w**3 + 27.
-211*w**3 - 3
Collect the terms in 4195*s + 293*s - 4489*s.
-s
Collect the terms in 0*n**3 + 0*n**3 - 30337*n + 0*n**3 - 3*n**3 + 30337*n + 6*n**3.
3*n**3
Collect the terms in -296*t**3 + 94*t**3 + 106*t**3 + 2022890*t - 2022890*t + 98*t**3.
2*t**3
Collect the terms in -70*h - 2 + 183*h - 104*h - 81*h - 7.
-72*h - 9
Collect the terms in 983760*h**2 - 1967842*h**2 + 984922*h**2.
840*h**2
Collect the terms in 87*b**2 - 290*b**2 - 826*b**2.
-1029*b**2
Collect the terms in -9 - 9040457078*c + 9040457078*c + 7 + 2*c**2.
2*c**2 - 2
Collect the terms in -4109*w - 42*w**3 - 61*w**3 - 216*w.
-103*w**3 - 4325*w
Collect the terms in 4113*j**2 + 2*j**3 - 8477*j**2 + 3*j + 4359*j**2 - 4*j + 4*j - 3*j.
2*j**3 - 5*j**2
Collect the terms in -1 + 3519*s**2 - 2401*s**2 + 1 - 2278*s**2 + 0.
-1160*s**2
Collect the terms in -199*f**2 - 51167*f**3 + 396*f**2 + 51141*f**3 - 197*f**2.
-26*f**3
Collect the terms in -1660*x**3 - 1662*x**3 - 1645*x**3 + 6545*x**3 - 1623*x**3.
-45*x**3
Collect the terms in -10*z**2 - z**3 + 9*z**2 - 481*z - 64*z**3.
-65*z**3 - z**2 - 481*z
Collect the terms in -395 + 1186 + 1343*m - 396 - 133*m - 395.
1210*m
Collect the terms in 3*d**3 + 478*d - 2459*d + 466*d + 1516*d.
3*d**3 + d
Collect the terms in -3 + 3136*s + 2 + 6167*s + 1.
9303*s
Collect the terms in 3269*l - 451*l - 10*l**3 + 121*l + 0*l**3 + 8*l**3.
-2*l**3 + 2939*l
Collect the terms in 32 - 37 + 41 - 42 - 31 - 9*p.
-9*p - 37
Collect the terms in 2*u**2 - 13*u**2 - 16*u**2 + 84*u - 47*u - 37*u + 10*u**2.
-17*u**2
Collect the terms in 156*w**2 - 3*w**3 + 12 + 16*w**3 + 9*w**3 + 93*w**2.
22*w**3 + 249*w**2 + 12
Collect the terms in -28129*b**2 + 9394*b**2 - 2*b**3 - 2*b**3 + 3*b**3 + 9397*b**2 + 9338*b**2.
-b**3
Collect the terms in 34*q - 168*q - 925*q + 201*q + 220*q - 45*q.
-683*q
Collect the terms in 0 + 5071*n - 3819*n + 2.
1252*n + 2
Collect the terms in 7*w**2 - 1060 - 2*w**2 - 3*w**2 + 3.
2*w**2 - 1057
Collect the terms in -20670*y + 36540144 - 36540144.
-20670*y
Collect the terms in -103*w - 51*w + 323*w + 370*w + 686*w + 1 + 683*w.
1908*w + 1
Collect the terms in -4 - 1784*w - 54*w + 2 + 2 + 1157*w.
-681*w
Collect the terms in 306191*x - 612298*x + 306124*x - 2*x**2.
-2*x**2 + 17*x
Collect the terms in -5823*l**3 - 11617*l**3 + 4623*l**3.
-12817*l**3
Collect the terms in -101946*i**2 + 34011*i**2 + 33922*i**2 + 34016*i**2.
3*i**2
Collect the terms in 555*z + 568*z - 34778*z**3 - 1123*z.
-34778*z**3
Collect the terms in -23263*w**2 + 11360*w**2 + 11900*w**2.
-3*w**2
Collect the terms in 577*s**2 + 7*s - 9*s + 268*s**2 + 321*s**2.
1166*s**2 - 2*s
Collect the terms in -585*p**3 - 1776*p**3 + 345*p**3 - 2159*p**3.
-4175*p**3
Collect the terms in -1057 - 297*v + 106*v + 80*v + 1057 + 52*v.
-59*v
Collect the terms in 4*a + 4 - 3 + 47*a - 6*a**2 + 104*a.
-6*a**2 + 155*a + 1
Collect the terms in -2923*y - 2940*y - 2982*y + 8874*y.
29*y
Collect the terms in 19 - 19 - 195644*j.
-195644*j
Collect the terms in -178*m**2 + 693*m**2 + 927*m**2 - 133 + 133.
1442*m**2
Collect the terms in -280*r - 44*r - r + 376*r - 53*r.
-2*r
Collect the terms in 15802*j + 15798*j + 118 - 31603*j + 79.
-3*j + 197
Collect the terms in 59223*a + 12710*a + 96786*a.
168719*a
Collect the terms in -13 + 22*r**2 + 5 + 22 - 22*r**2 - 5 + 2*r**3.
2*r**3 + 9
Collect the terms in -114*r - 7505060 + 7505060.
-114*r
Collect the terms in 154*h**3 - 2*h + 101096856*h**2 - 101096856*h**2.
154*h**3 - 2*h
Collect the terms in -139*u + 198 - 447*u - 1202*u - 151.
-1788*u + 47
Collect the terms in 8*t**2 + 893 - 12*t**2 - 8*t**2 - 30*t**2.
-42*t**2 + 893
Collect the terms in -7*m**2 - 19*m**2 - 4*m**2 - 50*m**2 - 9*m**2 + 105*m**2.
16*m**2
Collect the terms in 22759*m - 22759*m + 58*m**3.
58*m**3
Collect the terms in -142*p**2 + 1 + 142*p**2 + p**3 + 144 - 20*p.
p**3 - 20*p + 145
Collect the terms in 94*k - 2017878 + 2017878.
94*k
Collect the terms in -2973*l - 3568*l + 6565*l.
24*l
Collect the terms in 1937 + 6*w - 6113 + 2085 + 2091.
6*w
Collect the terms in -135868 + 135890 + z**2 + z**2 + 6*z**2.
8*z**2 + 22
Collect the terms in -5912 - 5912 + 11824 + 33*j + 29*j - 63*j.
-j
Collect the terms in -18*n - 308016*n**2 + 18*n + 153903*n**2 + 153975*n**2.
-138*n**2
Collect the terms in 192129*y**3 - 231895*y**3 - 314766*y**3.
-354532*y**3
Collect the terms in 39785*k**3 + 39778*k**3 - 119360*k**3 + 39782*k**3.
-15*k**3
Collect the terms in 5*h - 7*h + 2439 - 7244 + 2391 + 2453.
-2*h + 39
Collect the terms in -115429*r**2 + 58342*r**2 + 57093*r**2.
6*r**2
Collect the terms in 6438*m - 557*m - 1 + 15282*m + 87837*m.
109000*m - 1
Collect the terms in -79*c**2 - 79*c**2 - 76*c**2 - 4 - 72*c**2 + 3*c**3 + 305*c**2.
3*c**3 - c**2 - 4
Collect the terms in -240 - 14319*j - 237 + 718 - 241.
-14319*j
Collect the terms in -90*k - 92*k - 7*k + 274*k - 506*k**3 - 85*k.
-506*k**3
Collect the terms in -67*s + 445*s + 1138 - 1138 + 225*s.
603*s
Collect the terms in -2200*f**3 + 793*f**3 + 1352*f**3.
-55*f**3
Collect the terms in 7*k**2 + 12*k**2 + 13*k**2 + 153*k**2 - 2 - 143*k**2.
42*k**2 - 2
Collect the terms in -q + 6368008 + 183*q**3 - 6368008.
183*q**3 - q
Collect the terms in 11253*g**2 - 4 + 3*g**3 + 4*g - 11253*g**2.
3*g**3 + 4*g - 4
Collect the terms in 31*n + 10*n + 19*n - 93*n + 28*n + 29*n.
24*n
Collect the terms in 270*q - 54*q - 113*q - 370*q - 335*q.
-602*q
Collect the terms in 489*h - 492*h + 33 + 107.
-3*h + 140
Collect the terms in -2165*r - 8424*r + 1283*r.
-9306*r
Collect the term
|
{
"pile_set_name": "DM Mathematics"
}
|
26, 102990, 140174?
183078
What comes next: 49458, 49453, 49444, 49431, 49414, 49393, 49368?
49339
What is next in -3137, -6280, -9425, -12572, -15721, -18872?
-22025
What is the next term in -2291, -2270, -2251, -2234, -2219, -2206?
-2195
What is next in -120, -36, 52, 144, 240, 340, 444?
552
What is the next term in 140, 184, 240, 308, 388, 480, 584?
700
What is next in 735, 701, 609, 429, 131, -315, -939?
-1771
What is next in 6066, 6073, 6072, 6057, 6022, 5961, 5868?
5737
What is next in 8983, 71867, 242549, 574927, 1122899, 1940363, 3081217?
4599359
What is next in 62, 193, 552, 1253, 2410, 4137, 6548, 9757?
13878
What is next in 565, 2205, 4921, 8695, 13509, 19345?
26185
What comes next: -17344, -17388, -17432, -17476, -17520?
-17564
What is next in -1604, -1335, -1066, -797, -528, -259?
10
What is the next term in -2724, -2848, -2974, -3102, -3232, -3364?
-3498
What is next in -1685, -1683, -1681, -1679, -1677, -1675?
-1673
What is next in 24439, 97722, 219861, 390856, 610707, 879414, 1196977?
1563396
What comes next: -28, 161, 708, 1793, 3596?
6297
What comes next: 858, 961, 1064, 1167, 1270?
1373
What comes next: -519796, -519792, -519788?
-519784
What is next in -24, -120, -318, -648, -1140, -1824?
-2730
What comes next: 11109, 11134, 11159, 11184?
11209
What is the next term in -498, -2933, -6990, -12669, -19970, -28893?
-39438
What is the next term in -2278, -2479, -2814, -3283?
-3886
What comes next: 1407, 2987, 4565, 6141, 7715, 9287, 10857?
12425
What comes next: -69, 141, 499, 1011, 1683, 2521, 3531, 4719?
6091
What comes next: 1209, 1298, 1389, 1482, 1577, 1674, 1773?
1874
What is next in 198, 783, 1758, 3123?
4878
What is next in -2921, -4032, -5143, -6254?
-7365
What is next in -197, -298, -371, -404, -385, -302, -143?
104
What is next in -716, -650, -588, -530, -476?
-426
What comes next: -240346, -240337, -240322, -240301?
-240274
What comes next: 219, 409, 595, 777, 955, 1129, 1299?
1465
What is next in 223, 2308, 7983, 19048, 37303, 64548, 102583, 153208?
218223
What is next in 3149, 2860, 2583, 2324, 2089, 1884, 1715?
1588
What comes next: 583, 1097, 1947, 3127, 4631, 6453?
8587
What is next in 130, 328, 526, 724, 922?
1120
What is the next term in 2526340, 2526344, 2526350, 2526358, 2526368, 2526380?
2526394
What is next in -14254, -28499, -42746, -56995, -71246, -85499, -99754?
-114011
What is the next term in 2384, 1902, 1420?
938
What is the next term in 31216, 62427, 93634, 124837, 156036, 187231, 218422?
249609
What is next in -154711, -154714, -154717?
-154720
What is the next term in -244130, -488262, -732394, -976526?
-1220658
What is the next term in 3897, 7563, 11229, 14895?
18561
What is the next term in -101, -209, -319, -431, -545, -661, -779?
-899
What is next in 227679, 455357, 683045, 910749, 1138475?
1366229
What comes next: 288, 213, 102, -33, -180, -327?
-462
What is the next term in 369, 4606, 16113, 38526, 75481?
130614
What is the next term in -509, -2063, -4661, -8303?
-12989
What comes next: 12222396, 12222395, 12222394, 12222393, 12222392?
12222391
What is next in -854, -1484, -2118, -2756?
-3398
What comes next: 1014, 1273, 1634, 2091, 2638, 3269, 3978?
4759
What is the next term in 531, 323, 115, -93, -301?
-509
What comes next: 66, 152, 376, 804, 1502, 2536, 3972?
5876
What is the next term in 85, 120, 95, 4, -159, -400, -725?
-1140
What comes next: -923, -845, -777, -725, -695, -693, -725?
-797
What is next in 50, 190, 398, 656, 946, 1250, 1550, 1828?
2066
What is next in 17770, 142168, 479818, 1137346, 2221378, 3838540?
6095458
What comes next: 269, 530, 779, 1010, 1217?
1394
What is next in 211, 645, 1357, 2341, 3591, 5101?
6865
What is the next term in -1070, -2298, -3522, -4742, -5958, -7170?
-8378
What is next in 176, 2811, 7212, 13385, 21336, 31071, 42596?
55917
What is the next term in 1094, 4398, 9896, 17582, 27450, 39494?
53708
What comes next: 16491, 16507, 16561, 16671, 16855?
17131
What comes next: 8, 133, 554, 1421, 2884, 5093?
8198
What is next in 29575, 59141, 88707?
118273
What comes next: 2943, 5881, 8819, 11757, 14695?
17633
What comes next: -1902, -2009, -2116, -2223?
-2330
What is the next term in -66, 3, 46, 51, 6, -101, -282?
-549
What comes next: 5713, 5639, 5565, 5491?
5417
What comes next: 52350, 209398, 471144, 837588?
1308730
What is the next term in -587, -1195, -1811, -2441, -3091, -3767, -4475?
-5221
What comes next: 188, 359, 506, 623, 704?
743
What is next in -422, -78, 496, 1300, 2334, 3598, 5092?
6816
What is the next term in -513, -560, -629, -732, -881?
-1088
What is the next term in -1183, -4739, -10667, -18967, -29639, -42683?
-58099
What comes next: -60521, -60530, -60543, -60560, -60581, -60606?
-60635
What is the next term in 6472, 6398, 6324, 6250?
6176
What comes next: 532, 1848, 4036, 7090, 11004, 15772, 21388, 27846?
35140
What comes next: -465, -1627, -3565, -6279, -9769, -14035, -19077?
-24895
What is next in 2326, 2393, 2460, 2527?
2594
What is the next term in 4258, 8507, 12756, 17005, 21254, 25503?
29752
What is next in 48, 69, 134, 267, 492, 833, 1314?
1959
What is next in -127221, -127220, -127219?
-127218
What is the next term in -208, -110, 62, 314, 652, 1082, 1610, 2242?
2984
What is next in -89, -230, -465, -794, -1217, -1734, -2345?
-3050
What is the next term in 390907, 781815, 1172723, 1563631?
1954539
What is next in -9398, -9366, -9334?
-9302
What is next in -573, -546, -509, -468, -429, -398?
-381
What is the next term in 29366, 29353, 29340, 29327, 29314?
29301
What is next in -100, 100, 602, 1406, 2512, 3920, 5630?
7642
What is next in 100, -297, -718, -1175, -1680, -2245, -2882, -3603?
-4420
What comes next: 10471, 21046, 31621, 42196, 52771?
63346
What is next in -1219839, -1219841, -1219843?
-1219845
What is the next term in -323, -666, -1033, -1424?
-1839
What comes next: 80, 227, 364, 485, 584, 655, 692?
689
What comes next: 2608, 2088, 1568, 1048, 528?
8
What comes next: -14, -33, -26, 37, 186, 451, 862, 1449?
2242
What is next in -2609, -2641, -2661, -2663, -2641?
-2589
What is the next term in 19858, 39716, 59570, 79420, 99266, 119108, 138946?
158780
What is the next term in -7964, -16013, -24064, -32117?
-40172
What comes next: 316, 555, 960, 1537, 2292?
3231
What is next in 39870, 39841, 39810, 39777, 39742, 39705?
39666
What is the next term in 164973, 164972, 164971, 164970, 164969, 164968?
164967
What is the next term in -5286, -10584, -15894, -21216?
-26550
What is next in -1853, -3616, -5375, -7130, -8881, -10628, -12371?
-14110
What is the next term in 1576, 1646, 1716?
1786
What comes next: -424, -1643, -3674, -6517, -10172?
-14639
What is the next term in 132, 318, 552, 834, 1164, 1542?
1968
What is next in -4393, -4156, -3899, -3616, -3301, -2948?
-2551
What is the next term in 27982, 28001, 28046, 28129, 28262?
28457
What comes next: 49380, 49378, 49376, 49374?
49372
What comes next: 488, 3805, 12780, 30239, 59008, 101913, 161780, 241435?
343704
What is next in 126, 682, 2198, 5154, 10030, 17306, 27462, 40978?
58334
What comes next: -86, -330, -664, -1028, -1362, -1606, -1700, -1584?
-1198
What is the next term in 9604, 19172, 28738, 38302, 47864, 57424?
66982
What is next in 76, 171, 138, -89, -576, -1389, -2594, -4257?
-6444
What is next in 298, 579, 844, 1087, 1302, 1483, 1624, 1719?
1762
What is the next term in -476, -1680, -4338, -9176, -16920, -28296, -44030, -64848?
-91476
What is the next term in -432, -399, -366, -333, -300?
-267
What comes next: 60, 231, 702, 1623, 3144, 5415, 8586?
12807
What is the next term in 548, 396, 232, 50, -156, -392?
-664
What comes next: -3600, -7204, -10810, -14418, -18028, -21640, -25254?
-28870
What comes next: 224, 75, -74?
-223
What is next in 11, -130, -519, -1282, -2545, -4434, -7075?
-10594
What is next in 31, 94, 185, 304?
451
What comes next: -4320, -4469, -4618, -4767, -4916?
-5065
What is the next term in 324, 313, 292, 261, 220, 169, 108?
37
What is the next term in -333, -320, -309, -300?
-293
What comes next: 992, 1083, 1174, 1265, 1356, 1447?
1538
What is the next term in -399, -273, -69, 207, 549, 951, 1407, 1911?
2457
What is next in 4483, 9020, 13557, 18094, 22631, 27168?
31705
What comes next: -25473, -25479, -25489, -25503, -25521, -25543?
-255
|
{
"pile_set_name": "DM Mathematics"
}
|
((-10)/420*14)/((-2)/54*1)?
9
Evaluate ((-83)/((-2739)/110))/(40/372).
31
Calculate (-10)/(-16)*22/55.
1/4
(3/(-3))/((4/6)/((-240)/36))
10
What is ((-42)/7)/((-15)/(-385)*11)?
-14
Calculate (((-15)/(-100)*12)/3)/(3/4).
4/5
-12*34/(-96696)*6
2/79
What is the value of 128/(-48)*(-1785)/(-238)?
-20
Evaluate (1/(-1)*2)/(-13*(-38)/(-6669)).
27
Evaluate (-87)/29*2/(2/((-4)/(-2))).
-6
What is the value of (43/6450*-12)/(6/10)?
-2/15
What is 64/(-96)*45/(-1)?
30
Evaluate (-25)/((-125)/40)*3/(-28).
-6/7
What is the value of 4/(-3)*498/(-166)?
4
What is the value of 1/((-4)/(-3))*10780/1155?
7
What is the value of (12/(-40))/(111/(-740))?
2
((-2877)/(-1644))/((-7)/4)
-1
What is ((-58)/(-29))/((-90)/(-5))?
1/9
Calculate (120/125)/((-86)/215).
-12/5
Calculate 1*(-46)/((-184)/60).
15
Calculate (3/((-36)/(-2)))/((231/44)/(-7)).
-2/9
What is the value of ((-8)/72)/((-16)/(432/(-9)))?
-1/3
What is (-1)/3*1*0/(-8253)?
0
Evaluate (-18*20/(-810))/((-2)/(-3)).
2/3
Evaluate ((2/24)/(32/(-64)))/(2/(-40)).
10/3
Calculate (1/87)/(107/321).
1/29
Evaluate 1/(-52)*3512/1317.
-2/39
(60/65*13)/3
4
What is ((-20)/(-14))/((-1)/2*(-232)/(-406))?
-5
Calculate 11/(-55*(-16)/400).
5
What is the value of 9/(-72)*4*45/(-9)?
5/2
What is the value of ((-180)/10)/(-3*(-11)/((-33)/2))?
9
Calculate -2*18/(-81*8)*-20.
-10/9
-3*945/324*(-2)/(-7)*-1
5/2
What is (205/(-123))/((-12)/(-9))?
-5/4
Calculate -7*12/(-616)*(-54)/27.
-3/11
Calculate (4/130*-13)/(28/30*3).
-1/7
-1*((-153)/117)/17
1/13
Calculate (((-1408)/(-198))/8)/(24/36).
4/3
(4/3)/((6/(-3))/((-4)/(-44)))
-2/33
What is the value of (-126)/108*(-64)/784?
2/21
Calculate 5/(-6)*18/(-10)*-4.
-6
What is the value of 2988/1992*((-2)/4)/(10/8)?
-3/5
What is the value of 222/148*(-11)/3*-2?
11
Calculate 4/((-120)/174)*70/28*-2.
29
Evaluate (2/12)/(10/(-4)*2/(-10)).
1/3
Calculate ((-4)/6)/((-476)/(-102))*(-35)/40.
1/8
What is the value of ((-12)/(-1590))/(-10*(-10)/(-500))?
-2/53
(-1617)/77*(-24)/(-21)*2/(-3)
16
What is (((-162)/1)/(-9))/7?
18/7
(114/14)/((-18)/63)*(-4)/(-6)
-19
What is the value of ((-7)/((-56)/180))/((-580)/(-464))?
18
Evaluate (960/(-27))/40*-9.
8
What is the value of 1*30/105*-70?
-20
What is the value of (4/(-24)*-76)/((-9)/(189/(-14)))?
19
2344/(-50103)*(-3)/(-4)*1
-2/57
What is the value of (3/(-18))/((-15)/160*4)?
4/9
(-2436)/(-986)*11/77
6/17
(-20*(-45)/72)/(((-65)/(-2))/13)
5
Evaluate 5470/1641*6/4.
5
What is the value of (42/(-798))/(3/3)?
-1/19
-6*(-12)/(-72)*(-4)/(24/(-30))
-5
Calculate (39/78)/((-76)/(-798)*(-9)/4).
-7/3
What is (-3)/(2/(-25)*735/28)?
10/7
Evaluate (42/(-84))/(6/(-160)*5/(-6)).
-16
What is the value of ((-47)/((-7050)/(-240)))/((84/(-10))/(-3))?
-4/7
What is (-7)/280*-15*24?
9
Evaluate 4/(-6)*((-2997)/270)/(-37).
-1/5
Evaluate 212/(-53)*3/(-3*14).
2/7
Evaluate 15/45*60/(-50).
-2/5
Evaluate 20/(-12)*142/(-213)*(-9)/(-12).
5/6
What is -10*(-8)/50*45/9?
8
Evaluate ((-18)/15)/((12/6)/(14/(-7))).
6/5
Evaluate (2/(-5))/((-291)/(-291)).
-2/5
What is 3/(10*(-12)/600)?
-15
What is (-46)/(-15*26/(-195))?
-23
What is ((35/(-5))/((-8)/8))/(-1)?
-7
What is the value of ((-10)/18)/(6/(-18))*3*-1?
-5
Calculate ((-63)/12)/((-6)/(-8)).
-7
What is ((-45)/(-630)*8)/(3/(42/(-4)))?
-2
(-25)/225*9/(-24)
1/24
Calculate ((-132)/14)/((-1362)/(-3178)).
-22
Evaluate ((-8)/10)/((-16)/1920*8).
12
Evaluate (((-10)/6)/((-7)/(-252)*12))/3.
-5/3
What is the value of ((-2)/(-20))/(16/10)*(-164)/(-82)?
1/8
What is the value of (((-30)/63)/1)/(52/455*-5)?
5/6
Calculate (-150)/(-125)*12/120.
3/25
Calculate (4/160*10)/(((-20)/(-5))/(-80)).
-5
((-1)/(-1))/(779/7011)
9
What is (5/(-24))/(2470/(-4446))?
3/8
Calculate (-3*(-19)/(-19))/(4/(-24)).
18
What is (1/(-7))/(33/(-2541))?
11
Calculate (-32)/24*(1290/80)/(-43).
1/2
((-207)/69)/((-3)/5)
5
What is 14553/(-891)*6/(-7)?
14
What is ((-2)/((-78)/(60/(-20))))/(-1)?
1/13
Evaluate 301/43*(-288)/(-112).
18
What is 10/(47/((-2679)/38))?
-15
What is the value of 12/72*6/9?
1/9
Calculate ((-3)/12*1728/(-81))/((-4)/(-15)).
20
What is (4/42)/(12*(-16)/(-896))?
4/9
Calculate (-84)/63*-2*27/(-72).
-1
((-120)/1080)/((((-18)/(-4))/3)/3)
-2/9
What is (2*(-4)/(-5))/(74/555)?
12
What is (-15*1/(-5))/(18/24)?
4
Evaluate ((12/3)/(-4))/((-1)/((-7)/1)).
-7
What is (-4)/(1/(-1))*(-13)/(-78)*9?
6
Evaluate (31/(-217))/(6/21*(-7)/182).
13
What is ((9/108)/((-1)/(-2)))/(148/3256)?
11/3
((288/(-20))/(-6))/(((-621)/18)/(-23))
8/5
What is (1*2/(-8))/((-468)/43056)?
23
What is the value of (-13)/(52/8)*18?
-36
(14/4)/((-1771)/(-2024))
4
What is 21*26/(-364)*6*-1?
9
Evaluate (-2)/(-18)*(3810/(-1016))/((-10)/(-8)).
-1/3
What is 108/(-180)*(-1)/((-3)/30*-12)?
1/2
What is the value of 36/(-21)*(-30)/90?
4/7
What is (6/5)/((-13653)/(-615))?
2/37
What is the value of ((-30)/(-8))/((-351)/312*(-12)/(-9))?
-5/2
Evaluate ((-6)/2)/((3/(-28))/((-157)/628)).
-7
Calculate ((-30)/12)/((-126)/(-36)).
-5/7
What is ((-2)/(-5))/(872/545*35/4)?
1/35
What is the value of ((-1740)/4350)/((1/35)/((-6)/(-7)))?
-12
What is 99/(-18)*232/10527*6/(-4)?
2/11
Calculate -6*(-1449)/(-147)*70/180.
-23
What is (-4)/(((-107)/(-4494))/((-1)/8))?
21
Calculate (17/(-85))/(((-8)/1)/(-120)).
-3
What is (-3)/135*-9*-4*45/72?
-1/2
Calculate 1*10*(-437)/(-190).
23
Evaluate (-1)/(14/(616/55)).
-4/5
Calculate (15/(-75))/((-224)/70).
1/16
What is the value of (36/20)/(35/((-10850)/93))?
-6
(-560)/(-70)*(-1)/(-6)*(-84)/(-8)
14
Evaluate (30/(-16))/(7*5/(-28)).
3/2
Evaluate (15/100)/(23/(2300/40)).
3/8
5*(-2)/(-6)*-34*324/(-1530)
12
Evaluate ((-2)/4)/(7*29/(-4466)).
11
Calculate ((6/5)/3)/(264/(-4620)).
-7
Evaluate (-1)/(21/28)*429/(-52).
11
What is the value of (-15)/20*(-112)/(-1428)?
-1/17
Evaluate ((-362)/(-905))/((-2)/(-15)*24).
1/8
Evaluate ((-3)/95)/((-1434)/(-2390)).
-1/19
What is ((-7)/(-6))/((-11935)/(-97185))?
19/2
(-4)/12*3816/(-106)
12
((-790)/(-9875))/(4/5)
1/10
What is the value of (7/(455/(-26)))/((-2)/(-20))?
-4
What is the value of (-54)/6*2/42?
-3/7
What is 55/((-4620)/(-216))*(-21)/(-12)?
9/2
(((-16)/12)/4)/(86/(-3870))
15
Evaluate 2*(4/(-18))/(100/(-675)).
3
What is the value of (((-1152)/54)/32)/10?
-1/15
Evaluate (3/(-20))/((1512/(-35))/(-24)).
-1/12
Calculate (-4)/10*(-16975)/(-3880).
-7/4
(5/(-20)*2)/(6/(252/(-3)))
7
Evaluate ((-4)/(-36))/1*(-15)/25.
-1/15
What is (2850/5320)/(18/48)?
10/7
1/(-2)*152/646
-2/17
14/(-9)*(-23)/(138/54)
14
Calculate (-6)/((39/26)/(-3)).
12
Calculate -2*(-7)/(-56)*-80*(-1)/(-2).
10
Calculate ((-18)/15)/(734/1835).
-3
Calculate ((-245)/(-21))/7*6/(8/(-4)).
-5
Calculate (-7)/4*-2*-17*(-36)/2142.
1
Calculate (3/(-8)*128/(-48))/(1/9).
9
(428/749)/((-2)/7*-3)
2/3
((-1)/(63/(-108)))/(10/35)
6
9/6*(-20)/200*-20
3
What is 78*((-49)/7)/(-42)?
13
Calculate (-9*(-13)/13)/((-7)/((-77)/165)).
3/5
(-2)/((-458)/(-687)*((-3)/10)/1)
10
((-328)/3198)/(1/(-13))
4/3
Calculate ((-17)/(850/120))/((-24)/(-30)).
-3
Calculate ((-70)/(-80))/((-2)/4)*4*-1.
7
Calculate (45/(-300)*-8)/(-1*6/80).
-16
(-13*(-252)/(-9555))/(6/20)
-8/7
Calculate 1/(12/(-96))*1.
-8
What is the value of (-60)/552*(-32)/40?
2/23
48/224*(-539)/63
-11/6
What is the value of (-96)/(-160)*(-160)/8?
-12
(11/(-165))/(29/87)
-1/5
Calculate ((25/(-15))/5)/((-6)/(-24)).
-4/3
What is the value of 5/(-2)*((-840)/50)/(-6)?
-7
What is the value of (((-20)/(-5))/(-12))/(-2*18/(-12))?
-1/9
Calculate 6*(-52)/91*(-14)/12.
4
((-1008)/(-189))/((-4)/12)
-16
What is (32*10/(-8))/(4*(-2)/(-4))?
-20
Evaluate ((-56)/21)/(-4*9).
2/27
What is (1/(-4))/(3*(-5)/(-660))?
-11
Evaluate (20/(-2250))/(22/33).
-1/75
Calculate (((-56)/35)/(-2))/((-34)/(-5)).
2/17
Calculate (-342)/(-63)*280/(-80).
-19
Evaluate 84/(-8)*44/385.
-6/5
What is (10/(-1380)*-23)/((15/(-8))/3)?
-4/15
Evaluate (-3)/(-3)*(11*1)/((-40)/(-40)).
11
(((-11)/396)/((-9)/(-27)))/(14/(-24))
1/7
Evaluate (8/10*(-420)/72)/((-34)/(-51)).
-7
What is the value of (52/(-26))/(3/15)*-1?
10
What is 3/((-37)/(25308/216))?
-19/2
What is the value of ((-192)/(-1472))/(-2*(-3)/2)?
1/23
What is the value of 24/(-10)*(-4320)/648?
16
What is the value of 21/(-28)*(-128)/(-24)?
-4
What is 210/3*-15*7/(-1050)?
7
What is (10/(-6))/(45*(-23)/6831)?
11
Calculate 90/6*7/21.
5
Evaluate 33/((-8)/((-112)/(-42))).
-11
What is the value of (3*(-6)/21)/((48/4)/(-4))?
2/7
Calculate (((-1209)/39)/(-1333))/(2/4).
2/43
(-452)/7910*-14*4/(-40)
-2/25
C
|
{
"pile_set_name": "DM Mathematics"
}
|
q**3 - 7*q**2 + 9*q - 2. Suppose -11 = 5*c - 41. Let u be a(c). Suppose -5*m + m + u = 0. Is m prime?
False
Let w be (12/(-4) + 6)/1. Suppose -5*t = 2*g - 2922 + 48, -g + w*t = -1426. Suppose 5*r + 3*o - 1655 = 0, -5*r + 223 + g = o. Is r a composite number?
False
Let s(j) = -2*j**3 - j**2 - 39*j - 8. Let l(a) = -a**3 - a**2 - 19*a - 4. Let k(n) = -7*l(n) + 3*s(n). Is k(7) a prime number?
False
Suppose -d + 5*i - 19 = -48, -i = 5*d - 15. Suppose d*m = -0*m + 76. Is m composite?
False
Suppose -6*y + 3 + 9 = 0. Suppose 2*g + 190 = 2*d, 3*d - 5*d + 190 = y*g. Is d composite?
True
Let x be (-5)/5 - (-4 - -1). Suppose 0 = -4*u + 3*s + 1993 + 2386, -x*u - 3*s + 2203 = 0. Is u prime?
True
Is ((-123)/(-5))/(30/2950) a composite number?
True
Let x be 94/(-564) - -5*10/12. Suppose -6*j = -j - 220. Suppose 4*u = 2*d - j - 106, d = -x*u + 87. Is d a composite number?
False
Let m = -2 - -4. Suppose 5*c = m*p + 2*c - 629, 0 = 3*p + 2*c - 924. Suppose 6*b - 8*b = -p. Is b prime?
False
Let u(o) = -o**2 - 5*o + 1. Suppose -5*p + 5 = 0, -2*a + 3*p - 18 = a. Let v be u(a). Is -2 - -4 - (1 - v) a composite number?
False
Let q = 13 + -16. Is 42605/35 - (19/(-7) - q) prime?
True
Let p = -13 + 15. Let r = 0 + p. Suppose 0 = -r*a - 4*f + 505 - 187, 5*a - f - 740 = 0. Is a composite?
False
Suppose 5*a - 4*z = -z - 17, -2*a + 2*z - 6 = 0. Let c(o) = 8*o**2 - 5*o + 1. Is c(a) a prime number?
True
Let s be 4/(-14) - (-2)/7. Let f(i) = -2*i**3 + 4*i**2 + 8*i + 4. Let c be f(-5). Suppose 0 = -s*y - 2*y + c. Is y composite?
False
Let u(i) = 53*i - 5. Let f be u(-4). Let r be 2 - (-1)/(1/448). Let v = r + f. Is v a composite number?
False
Let t(k) = -11*k + 1. Let j(x) = -x**3 + 10*x**2 + 5. Let d be j(10). Suppose v + 24 = -4*s + 5*v, -4*v = -d*s - 30. Is t(s) a prime number?
True
Suppose -26*x - 4111 = -27*x. Is x composite?
False
Let c(j) = 17*j**2 + 16*j - 5. Let x be c(11). Let z = x - -225. Is z a prime number?
False
Suppose 3088 = -a - 935. Let k = -1510 - a. Is k prime?
False
Let s(d) = d**3 - d**2. Let v(k) = -7*k**3 + 12*k**2 + 10*k - 8. Let m(h) = 6*s(h) + v(h). Let b be (-34)/(-51) + (-19)/(-3). Is m(b) a prime number?
True
Let a = 131 - 127. Let p(n) = -106*n + 18. Let k(s) = 53*s - 9. Let g(q) = 7*k(q) + 3*p(q). Is g(a) a prime number?
False
Let i = -41 + 26. Let f(g) = g**3 + 17*g**2 - 18*g + 29. Is f(i) prime?
False
Is 5963328/765 + 1/(-5) prime?
False
Let j(r) = 3*r**2 + 10*r + 7. Let v be j(9). Let x = v - 583. Let m = 88 - x. Is m a prime number?
True
Let y(p) = 400*p + 22. Let c(j) = -133*j - 7. Let z(t) = 7*c(t) + 2*y(t). Is z(-4) a composite number?
True
Let b be (1 - 965)/(40 + -42). Suppose -b = -2*a + 1452. Is a prime?
True
Let a(k) = 7*k**2 - 2. Let r be a(2). Suppose -6*t - 2*u + r = -t, -3*t - 3*u = -21. Is (t/(-6))/((-12)/11430) a prime number?
False
Let p(q) be the second derivative of -7*q**3/6 + 8*q**2 + 7*q. Let v be p(-10). Suppose -v - 206 = -2*c. Is c composite?
True
Let u = -10409 + 32266. Is u prime?
False
Let r = 251 - -41. Suppose -2*b + 419 = -b. Let s = b - r. Is s prime?
True
Is 574 - (5 + 9)/(-2) a composite number?
True
Suppose 0 = -8*z + 481892 - 110508. Is z composite?
True
Suppose 3*m = -3*j + 6096, -2*m + 3*j - 67 = -4126. Is m composite?
True
Let g(q) = -3808*q - 227. Is g(-30) composite?
False
Suppose 0 = -7*v + 18*v - 4367. Is v composite?
False
Let y be (8/(-10))/(3/(-30)). Let o(w) be the first derivative of 81*w**2/2 - 7*w + 21. Is o(y) a composite number?
False
Let d be (-6)/(-2)*(-3)/9. Is (-86 + 1 + 0)*d a prime number?
False
Suppose -3*o + 4*f + 1214 = -989, -4*f + 2219 = 3*o. Let y = o + -252. Is y prime?
False
Let h(j) = 2*j**3 - 5*j**2 - 7*j + 7. Let t(d) = -d**3 - 6*d**2 - 7*d - 3. Let x be t(-5). Let b be h(x). Let w = 565 - b. Is w a composite number?
True
Let k(q) = 14*q**3 + 2*q**2 + q - 2. Is k(3) a composite number?
False
Suppose -2*m = -5*t + 8783, 0*m = t - 4*m - 1753. Suppose -2*y - t = -9*y. Is y prime?
True
Let n(f) = 2*f**3 + 2*f**2 - f. Let t be n(2). Suppose t = -2*i - 6. Is (-14)/49 + (-648)/i prime?
False
Let j(v) = v**2 + 12*v + 28. Let q be j(-12). Suppose 32*k - q*k - 4292 = 0. Is k composite?
True
Let s = -18 + 20. Suppose 0 = -2*v - t + 6*t + 7583, 5*t = -s*v + 7533. Is v a composite number?
False
Let x be (-4)/(4/3) + -6. Let w be 785/35 - x/(-21). Suppose 3*a = w + 56. Is a prime?
False
Let l = -13316 - -57669. Is l a prime number?
False
Suppose 8*r - 3*r + 750 = 0. Let j = r + 227. Let y = j - 0. Is y a prime number?
False
Let r be (-10)/(-2)*(-4 - -5). Suppose -9*u + r*u + 5924 = 0. Is u prime?
True
Let p(a) = -104*a - 11. Let o be 2*-1 + -1 + -8. Is p(o) composite?
True
Let j = 760 - 295. Let i = j + -214. Is i prime?
True
Let n be 6/(-33) - (-31)/(-11). Let k = n + 9. Suppose -5*v - 3*h + 156 = 0, 0 = -4*v - k*h + h + 117. Is v prime?
False
Let v be (-7196)/10 - 21/(-35). Let s = 32 - v. Is s composite?
False
Let i = -383 - -10416. Is i prime?
False
Let q(s) = 843*s**2 - 24*s + 71. Is q(4) prime?
True
Let k = -356 - -714. Suppose 597 = 5*s - k. Is s composite?
False
Let a = 10531 - -5130. Is a prime?
True
Let c = 159 + -156. Is (1 + (-5)/2)*(-6044)/c a prime number?
False
Is 49155 - (-5 + 1 + -34 + 30) a prime number?
False
Suppose 5*j = 2*i + 20, -j - 2*j = -5*i - 12. Let l(t) = -4*t + 4 + 2*t + i*t - t. Is l(-9) composite?
False
Let i = -88 + 102. Let k = 17 + i. Is k prime?
True
Let m(t) = 35*t**2 - 35*t + 89. Is m(18) composite?
False
Suppose 12667 = d - 2*s, 5*d - 63410 = 4*s - 9*s. Is d prime?
False
Let g(l) = 11*l**3 + 6*l**2 + 28*l - 161. Is g(12) composite?
False
Suppose -5*i - q + 54707 = -4*q, -10931 = -i - 2*q. Is i a prime number?
True
Suppose 0 = 8*c - 111 - 201. Suppose c*b - 42*b = -2463. Is b a prime number?
True
Suppose 341*n - 484 = 337*n. Is n composite?
True
Is (-5)/((-10)/57372) - (59 - 60) a composite number?
False
Suppose 4*v = r + 4827, -4*r = -8*v + 11*v - 3625. Is v composite?
True
Let t be (-8)/((7 - 4) + -2). Let g(h) = 39*h + 0 + h**3 + 12*h**2 + 9 - 42*h. Is g(t) prime?
False
Let j = -3070 + 8451. Is j a prime number?
True
Let s(d) be the first derivative of 7 + 2*d**3 - 7*d + 1/2*d**4 + 0*d**2. Is s(4) a prime number?
False
Let p(h) = -h**2 - 6*h - 5. Let j be p(-4). Let d(z) = -2*z - 18*z**3 + 33*z**3 + 8 - 14*z**j. Is d(9) a prime number?
True
Let s = -70 + 70. Suppose s*c = c - 119. Is c prime?
False
Suppose 5*y + 1782 = -418. Let q = 183 - y. Is q prime?
False
Suppose -7287 = -8*c - 2239. Is c prime?
True
Suppose 4*g = -j + 43, 3*g - 2 - 16 = 4*j. Let s = 30 - g. Let q = 41 - s. Is q composite?
True
Let a = -494 + 9907. Is a composite?
False
Let a(t) = 2*t**2 + 15*t - 15. Let b be a(-12). Let i = b - -26. Is i a prime number?
False
Let m(l) = -4*l**3 - l**2 - 6. Let t(u) = -9*u**3 - u**2 - u - 13. Let d(f) = 7*m(f) - 3*t(f). Let o = 2 + -7. Is d(o) a composite number?
False
Suppose 5135 = 2*u - 891. Is u prime?
False
Let n(b) = -5*b**2 + 24*b + 37. Let t be n(-28). Let z = -716 - t. Is z prime?
False
Let c(x) = -x**3 + 3*x**2 + 3*x + 7. Let g be c(4). Suppose 2*r - 895 = -g*r. Is r prime?
True
Let r(n) = 38*n**2 - 1. Let q(b) = b**2 + 9*b + 3. Let h be q(-9). Suppose c - 4 = -h*l - 2*l, 2 = -2*c. Is r(l) composite?
False
Is (-1840)/(-6) - 18/(-54) composite?
False
Let b = 3323 + -1916. Let f = b - 92. Is f a prime number?
False
Let b be (6/2)/((-1)/(-3))*1. Suppose -b*w - 1804 = -13*w. Is w a prime number?
False
Suppose 32 = 3*g + 5*t, -g + 12 - 28 = -5*t. Suppose 0 = 5*q + 3*r - 643, -639 = 3*q - 8*q - g*r. Is q a prime number?
True
Let j(u) = u**2 - u - 6. Let y be j(-3). Suppose -a + y = 3. Suppose -z - a*z = -308. Is z prime?
False
Let j(b) be the first derivative of -17*b**2/2 + 4*b - 27. Let n(f) = -6*f**2 + f. Let q be n(1). Is j(q) prime?
True
Suppose -4*u + 5 = -7. Suppose -u*i + 2*x - 3 = 30, i = 4*x - 1. Let q = i - -270. Is q a prime number?
True
Let b(a) = 42*a**2 + 14*a - 10. Let c be b(-10). Suppose -7*d + 4*d - c = 0. Let r = d - -1991. Is r a composite number?
False
Let j(z) = 3*z - 3*z - 6*z + 10. Is j(-4) a prime number?
False
Suppose 3*d = -j + 319, -3*d + 623 + 626 = 4*j. Let h = 113 - j. Let z = h - -336. Is z prime?
True
Let h = 25868 + 7053. Is h composite?
True
Suppose y = -6*l + 4*l + 39130, -4*y - 97851 = -5*l. Is l com
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from {s: 1, o: 4, k: 1, m: 1, f: 2}?
1/18
Two letters picked without replacement from {n: 3, m: 3, o: 5, x: 2}. What is prob of picking 1 n and 1 m?
3/26
What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuu?
1
Three letters picked without replacement from nqfnfkkknlf. Give prob of picking 2 k and 1 n.
3/55
Two letters picked without replacement from {a: 1, u: 4, y: 4, l: 3, t: 1}. What is prob of picking 1 u and 1 l?
2/13
Four letters picked without replacement from ttttfqftf. Give prob of picking 2 f and 2 t.
5/21
Four letters picked without replacement from {f: 9, v: 2, e: 1, l: 7}. What is prob of picking 2 f and 2 v?
3/323
Three letters picked without replacement from ygvqyglglllil. What is prob of picking 1 y, 1 g, and 1 i?
3/143
Three letters picked without replacement from jjkqqkjqjqqqqq. What is prob of picking 3 q?
2/13
Calculate prob of picking 2 k and 1 t when three letters picked without replacement from hhhthttthtkhthhktt.
1/102
Two letters picked without replacement from {h: 2, o: 2, x: 2, i: 5, q: 1, p: 2}. What is prob of picking 2 h?
1/91
Two letters picked without replacement from {h: 4, r: 1, w: 2}. What is prob of picking 2 h?
2/7
Two letters picked without replacement from {j: 2, w: 8}. What is prob of picking 1 j and 1 w?
16/45
Three letters picked without replacement from {m: 1, q: 4, e: 6}. What is prob of picking 3 e?
4/33
Four letters picked without replacement from {e: 3, l: 9}. What is prob of picking 1 l and 3 e?
1/55
Calculate prob of picking 1 c and 1 w when two letters picked without replacement from crrwvvwvtv.
2/45
Four letters picked without replacement from {c: 1, r: 2, d: 7, a: 5, z: 1}. What is prob of picking 2 r, 1 d, and 1 a?
1/52
What is prob of picking 1 h and 2 f when three letters picked without replacement from fhhf?
1/2
What is prob of picking 3 c and 1 r when four letters picked without replacement from crrcrcrrcrrrrrrrrcc?
65/969
What is prob of picking 1 i and 1 s when two letters picked without replacement from sedfifj?
1/21
Two letters picked without replacement from vvvvpvvpttttt. What is prob of picking 1 v and 1 t?
5/13
Two letters picked without replacement from {e: 2, o: 2, l: 6, v: 4, d: 1}. Give prob of picking 1 e and 1 o.
4/105
Three letters picked without replacement from {i: 7, h: 3}. Give prob of picking 2 h and 1 i.
7/40
Four letters picked without replacement from {s: 4, i: 1, r: 6}. What is prob of picking 1 i, 1 r, and 2 s?
6/55
Two letters picked without replacement from xjjjxxjjjj. Give prob of picking 1 j and 1 x.
7/15
Four letters picked without replacement from {o: 2, d: 1, z: 1, r: 1}. Give prob of picking 2 o, 1 d, and 1 r.
1/5
Three letters picked without replacement from {d: 2, y: 2, i: 6, m: 2}. Give prob of picking 1 m and 2 y.
1/110
What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 4, w: 1, u: 4, v: 2}?
8/55
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from tttttsttttttt.
2/13
Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {n: 2, a: 4, f: 3}.
1/7
What is prob of picking 2 o and 1 b when three letters picked without replacement from mboowm?
1/20
Two letters picked without replacement from aaaaa. Give prob of picking 2 a.
1
Two letters picked without replacement from {e: 3, d: 1, b: 3, l: 1, z: 3, c: 3}. Give prob of picking 1 z and 1 l.
3/91
Two letters picked without replacement from kkzbbfb. Give prob of picking 1 b and 1 k.
2/7
Two letters picked without replacement from {q: 4, z: 3, t: 5, s: 5, r: 2}. Give prob of picking 2 r.
1/171
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {g: 2, h: 1, m: 3, b: 6}.
1/11
Four letters picked without replacement from {k: 2, s: 1, d: 5, p: 1}. Give prob of picking 1 k, 2 d, and 1 s.
10/63
Calculate prob of picking 2 o when two letters picked without replacement from {x: 3, q: 5, o: 4, m: 1}.
1/13
Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 2, r: 9, y: 2}.
3/13
Calculate prob of picking 1 g and 2 a when three letters picked without replacement from amammgmgggmmggmaaggm.
4/95
Four letters picked without replacement from {o: 4, a: 10}. What is prob of picking 2 a and 2 o?
270/1001
Two letters picked without replacement from {u: 1, w: 2, f: 2, i: 4}. What is prob of picking 1 u and 1 i?
1/9
Three letters picked without replacement from wfxpxffwpfwwmff. What is prob of picking 2 p and 1 m?
1/455
What is prob of picking 1 e, 1 u, and 1 l when three letters picked without replacement from eeehhhlhhueeheee?
1/70
Three letters picked without replacement from yuuuuuyuu. Give prob of picking 1 u and 2 y.
1/12
Calculate prob of picking 2 y when two letters picked without replacement from {i: 1, y: 9, w: 4, p: 1}.
12/35
Calculate prob of picking 2 b when two letters picked without replacement from cccccccbcccbcbcccccc.
3/190
Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {j: 5, d: 3, b: 1, y: 1}.
1/45
What is prob of picking 2 o, 1 f, and 1 d when four letters picked without replacement from {g: 1, f: 1, d: 3, i: 3, u: 3, o: 4}?
6/455
What is prob of picking 2 o and 1 d when three letters picked without replacement from {d: 1, o: 5, k: 4}?
1/12
What is prob of picking 2 r and 1 f when three letters picked without replacement from {r: 2, f: 5, l: 9}?
1/112
Calculate prob of picking 1 z and 1 s when two letters picked without replacement from lllzlzslzzs.
8/55
What is prob of picking 1 v and 1 x when two letters picked without replacement from {v: 4, x: 8, m: 2, f: 3}?
4/17
Four letters picked without replacement from {t: 5, k: 4, p: 3}. Give prob of picking 4 k.
1/495
Calculate prob of picking 1 h and 2 y when three letters picked without replacement from {h: 1, c: 1, y: 2, g: 3}.
1/35
What is prob of picking 1 f, 2 a, and 1 d when four letters picked without replacement from {p: 2, f: 2, x: 3, c: 2, d: 2, a: 4}?
8/455
What is prob of picking 1 w, 1 z, and 1 n when three letters picked without replacement from zwnzyvty?
1/28
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 6, q: 2}.
3/7
Four letters picked without replacement from {e: 14, l: 1}. What is prob of picking 1 l and 3 e?
4/15
Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bzmkukmukk.
2/45
Calculate prob of picking 2 j and 2 w when four letters picked without replacement from {j: 2, w: 4}.
2/5
Four letters picked without replacement from {y: 1, a: 5, d: 1, m: 1, c: 3}. Give prob of picking 1 d, 1 c, 1 m, and 1 a.
1/22
What is prob of picking 1 c and 2 o when three letters picked without replacement from {x: 1, c: 2, d: 1, n: 1, o: 2, y: 2}?
1/42
Three letters picked without replacement from {q: 1, y: 1, v: 1, r: 1, o: 1}. Give prob of picking 1 q, 1 o, and 1 r.
1/10
Three letters picked without replacement from {z: 5, f: 3, o: 5}. What is prob of picking 2 f and 1 z?
15/286
Calculate prob of picking 2 u and 2 d when four letters picked without replacement from {f: 3, j: 4, d: 4, u: 5}.
3/91
Four letters picked without replacement from ddssssdssssssssssd. Give prob of picking 1 d and 3 s.
364/765
Two letters picked without replacement from {i: 2, j: 1, s: 1, y: 2, w: 1, d: 1}. Give prob of picking 1 s and 1 j.
1/28
Four letters picked without replacement from tppgppzztzkptps. What is prob of picking 1 p, 1 g, 1 t, and 1 k?
6/455
Four letters picked without replacement from feffeneefefffeffeeee. What is prob of picking 1 e, 1 n, and 2 f?
24/323
Three letters picked without replacement from {a: 2, y: 2, l: 1, f: 6}. What is prob of picking 1 l and 2 a?
1/165
Three letters picked without replacement from {c: 5, t: 8, d: 1, i: 5, m: 1}. Give prob of picking 3 c.
1/114
Two letters picked without replacement from {j: 2, v: 1, p: 4, i: 2, c: 1, x: 2}. What is prob of picking 1 v and 1 x?
1/33
Two letters picked without replacement from qrmrnqqqqrprnmqmm. What is prob of picking 1 m and 1 r?
2/17
Two letters picked without replacement from qye. Give prob of picking 1 q and 1 y.
1/3
Two letters picked without replacem
|
{
"pile_set_name": "DM Mathematics"
}
|
= z*n. What is n rounded to the nearest 10?
10
Let g = 23.627 + -0.327. Let k = g - 22. Round k to 0 decimal places.
1
Let h = 5 + 36. Let v = h - 41.000076. Round v to 5 dps.
-0.00008
Let f = -32 + 48. Let h = -15.999978 + f. Round h to five decimal places.
0.00002
Let y = -173 + 115. Let t be y/(-6) + (-4)/(-12). Let m be t/(-3)*(4 + -3424). Round m to the nearest one thousand.
11000
Suppose -6*q = -q + 779590. Let c = q + 265918. What is c rounded to the nearest 100000?
100000
Let b = -1378.0002 + 1384. Let d = b - 6. Round d to three decimal places.
0
Let j(o) = -o**2 + 9*o + 2. Let k be j(9). Suppose -4*f - 2760004 = k*a + 2*a, 0 = -2*a + 5*f - 1379995. What is a rounded to the nearest 100000?
-700000
Let z = 945767 - 962470.17. Let l = -16617 - z. Let o = l + -85. Round o to 1 decimal place.
1.2
Let m = -56 + 56.0000148. What is m rounded to six dps?
0.000015
Suppose 3*i - 2*y + 13 = 4*i, 0 = -2*i - 2*y + 32. Let d be (i + 1)/(2/6200). Round d to the nearest ten thousand.
60000
Let d = -8 + 11. Suppose 8*a = d*a + 765000. What is a rounded to the nearest ten thousand?
150000
Let i = 0.65067758 - 8.25718974. Let v = -111.39349714 + i. Let y = -119 - v. Round y to six dps.
0.000009
Let s(g) = -5340003*g**2 + 4*g - 1. Let a be s(1). What is a rounded to the nearest 100000?
-5300000
Let d(p) = -1 + 15*p**2 - 5 + 0 - 4*p. Let u be d(-5). Suppose 3*f = z - u - 305, f - 3*z + 242 = 0. Round f to the nearest 100.
-200
Let s = -2.1427 - 2.8708. Let a = 5 + s. Round a to three dps.
-0.014
Let w = -904.1 + 968. Let k = -0.1 - w. Let r = -64.073 - k. What is r rounded to 2 decimal places?
-0.07
Let w = 25558.902 + -35.902. Let h = w - 25517.0005. Let r = h + -6. Round r to 3 dps.
-0.001
Let m = 40.902 - -0.098. Let i = -41.00031 + m. What is i rounded to 4 decimal places?
-0.0003
Suppose -490 = 2*x - 2*p, 3*x + 747 = -3*p - 0*p. Let c = -117 - x. Round c to the nearest one hundred.
100
Let v be (-18596)/6 + 4/(-6). Round v to the nearest one thousand.
-3000
Let z = -299.956 + 315. Let x = z - 15. Round x to two decimal places.
0.04
Let h(m) = -m**3 - 8*m**2 + 4. Let j be h(-8). Let w = -233 - -1290. Suppose -j*o = -w - 1223. What is o rounded to the nearest one hundred?
600
Suppose -5*p + 0*p + 4249565 = 0. Suppose d = -d + 2*a - 849918, -3*a + p = -2*d. Let w = d + -175036. Round w to the nearest 1000000.
-1000000
Let k be -5 + 102000332/68 - (-4)/34. What is k rounded to the nearest 100000?
1500000
Let w = -27.315 + 18.186. Let l = w - -9.2. Round l to 2 dps.
0.07
Let s = -1005.935 - -1012. Let j = -6 + s. Let o = -0.06500061 + j. What is o rounded to 7 decimal places?
-0.0000006
Let n be 1/3 - (-228)/18. Let c = 167 + n. What is c rounded to the nearest 100?
200
Let x = 207.00199 - 207. What is x rounded to 4 dps?
0.002
Suppose -6 = 3*g, -2*g + 366 = 2*a + 2050. What is a rounded to the nearest 100?
-800
Let w = -1 - 0. Let j = 1.1 + w. Round j to two decimal places.
0.1
Let q = -0.620814 + 0.140885. Let z = -0.48 - q. What is z rounded to 5 decimal places?
-0.00007
Let i = 55.1256177 - 155.125625. Let r = 104 - 204. Let q = i - r. Round q to 6 decimal places.
-0.000007
Let g = 2.983 + -3. Round g to 3 decimal places.
-0.017
Let a = -0.044 + 5.844. Let r = 454705903.80000066 + -454705898. Let p = r - a. What is p rounded to 7 decimal places?
0.0000007
Let n = 276 - 3. Let z = n - 100. Let g = -172.897 + z. What is g rounded to 2 decimal places?
0.1
Let r = 6.2 + -8. What is r rounded to 0 dps?
-2
Let b = -19 + 19.00006. Round b to five dps.
0.00006
Let d = -1828157 - -1828156.96500082. Let h = 0.035 + d. What is h rounded to seven decimal places?
0.0000008
Let g(r) = -r - 2. Suppose y - 2*o = -0*y - 5, -5*y - 2*o - 37 = 0. Let n be g(y). Suppose n*l + 1710000 = 2*l. Round l to the nearest one hundred thousand.
-600000
Let s = 6.754 + 0.336. Let j = 7 - s. Let f = j - -0.101. What is f rounded to two decimal places?
0.01
Let q = 14.5 + -14.500063. Round q to five decimal places.
-0.00006
Let r = 749019 + -2549019. What is r rounded to the nearest 1000000?
-2000000
Let y = 0.1 + 9.2. Let k = -0.28 + 3.08. Let d = y - k. What is d rounded to the nearest integer?
7
Let x = 1.5 - 1.64. Round x to one dp.
-0.1
Let h be -2998 + (-1)/3*42/7. What is h rounded to the nearest 100?
-3000
Let i = -39 + -58. Let s = 27 + i. What is s rounded to the nearest 10?
-70
Let g = -234 + 233.9877. What is g rounded to 3 dps?
-0.012
Suppose -5*s + 5*w = 19635, -3084 = -5*s - 5*w - 22749. Round s to the nearest one thousand.
-4000
Let o = -18.29 + 2.22. Let c = 5 - -11. Let g = c + o. Round g to one dp.
-0.1
Let t(d) = -3488*d**2 - 9*d. Let u be t(8). Let j = u - -443304. Round j to the nearest one hundred thousand.
200000
Let a = -0.74 - -0.8. Let h = 5.143 - 0.103. Let j = h + a. What is j rounded to the nearest integer?
5
Let u be (-3 - 1)*42/8. Let b be (-2 - 10/8)*-188. Let v = u + b. Round v to the nearest one hundred.
600
Let p = -3311 - -3271.79. Let l = 39 + p. Round l to one decimal place.
-0.2
Let h = 7.1508 + -0.0608. Let u = 0.59 - 7.99. Let z = u + h. Round z to 1 decimal place.
-0.3
Let d = -2027 - -2027.3998. Let g = -0.7 - -0.3. Let y = d + g. What is y rounded to 3 dps?
0
Suppose -3*k = -0 - 15. Suppose 5*z + 0*z = k*g - 6499985, 0 = 3*g - z - 3899997. What is g rounded to the nearest one million?
1000000
Suppose 17*o = 21*o + 2204000. Round o to the nearest ten thousand.
-550000
Let i be -1746*1/((-2)/63). Let z be i + -3 - -2 - -2. Round z to the nearest 10000.
60000
Let o = -8 - -8.07. What is o rounded to one decimal place?
0.1
Let g(t) = -t + 4. Let s be g(0). Let k = -3 - -2. Let p be 155/(k + 3/s). What is p rounded to the nearest one hundred?
-600
Let l = -0.145 + 0.14499922. What is l rounded to 6 dps?
-0.000001
Let o = -11.2 + 0.2. Let b = 2075418963 + -2075418974.00000017. Let c = o - b. What is c rounded to seven decimal places?
0.0000002
Let r = 15974 - -2116. Let o = -208090 + r. What is o rounded to the nearest 100000?
-200000
Let h be 2/7 + 226/(-7). Let r be (3300/8)/(2/h). What is r rounded to the nearest one thousand?
-7000
Suppose -3616 = 8*b - 176. Round b to the nearest 1000.
0
Let g = 0.69 + -0.09. Let z = 13.5 - 14.0997. Let n = g + z. What is n rounded to four decimal places?
0.0003
Let t = 0 - 1. Let y be (3/2 + t)*-4. Let l be 3/y*(-50)/(-5). What is l rounded to the nearest 10?
-20
Let l = 25 - 23.8. Let a = l + -2. Round a to one decimal place.
-0.8
Let s = -10231 - 33769. What is s rounded to the nearest 10000?
-40000
Let w = 0.26 + 6.74. Let f = -6.9999963 + w. Round f to 6 decimal places.
0.000004
Let j = -0.8 - -0.58. Let l = j + 0.2199878. Round l to 6 dps.
-0.000012
Let j(x) be the third derivative of -1383331*x**4/24 + 7*x**3/3 + 5*x**2. Let u be j(-6). What is u rounded to the nearest 1000000?
8000000
Let b = -4119938 - -8419938. What is b rounded to the nearest 1000000?
4000000
Let g = 28 - 26. Let q = -1.999 + g. Round q to two decimal places.
0
Let d(y) = -34501*y - 2. Let f be d(-2). Round f to the nearest 10000.
70000
Let w = -14.638 + 14.4. What is w rounded to two dps?
-0.24
Let s = -0.133 + 0.082. Let x = -28.051 - s. Let t = x + 28.0000052. Round t to six decimal places.
0.000005
Let v = -66 + -88. Let c = v - -154.101. Round c to 2 decimal places.
0.1
Let c = 4 - 0. Suppose 3*k + 15299991 = 3*z, k + 0*k + c*z = -5100012. Round k to the nearest one million.
-5000000
Let j = 0.082 + -39.482. Round j to 0 decimal places.
-39
Let q = -24.177 - -24. Round q to one decimal place.
-0.2
Let c = -281272.371 - -281012. Let p = 242.36 + c. Let g = p - -18. What is g rounded to three dps?
-0.011
Suppose -n - 2*n = -5*f + 14550015, -4*f - 4*n = -11639980. What is f rounded to the nearest one hundred thousand?
2900000
Let b = -150.9562 - -151. Round b to 2 dps.
0.04
Let a = -7750244 + 4270244. What is a rounded to the nearest one million?
-3000000
Let m = -5.9 - -5.90054. Round m to 4 dps.
0.0005
Let u = 81 - 87.6. What is u rounded to the nearest integer?
-7
Let w = 191.81 - 191. Round w to one decimal place.
0.8
Let i be 3 - (-4 - 2/1). Let l be i*2/(-6)*-4. What is l rounded to the nearest 10?
10
Suppose 3*n - 2*n = 912. Suppose -5*f = 688 + n. Round f to the nearest one hundred.
-300
Let m = 57 - 56.938. Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
(-86)/(-18) - 14/w. Let r be (1 + 1 - z)*-2. Solve 5*p = 5*f - 25, r + 4 = 3*p + 2*f for p.
0
Let k be (-1)/(21/(-9) - -2). Suppose r = -y + k, -5*y - 2*r = -6*r - 6. Let t be (-21)/(-3) - (-1 + 2). Solve y*m - 4*b + t = 0, -3*m - 4*b = -6 - 5 for m.
1
Let p be (-2)/(-9) - (-34)/9. Let c = 14 - 10. Suppose c*v - 25 + 9 = 0. Solve -v*h = -3*w + 23, -19 = -3*w - p*h + 6*h for w.
5
Suppose j = 1 - 0. Suppose j = -3*s - 2. Let o = 6 + s. Solve 3*u + u = -5*v + 1, -o*v = -4*u + 31 for u.
4
Let q(j) = 2*j - 1. Let k(s) = -s + 1. Let v be k(0). Let c be q(v). Solve -4*y - g - c - 5 = 0, -3 = -5*y + 4*g for y.
-1
Suppose 4*z = l, 0*z = -3*z. Suppose -2*f - f = l. Solve -4*s + 5*i - 40 = s, s + i + 2 = f for s.
-5
Suppose 2*a + 0*a - 3*p = -1, p + 16 = 3*a. Solve -a*d + 2*d + 8 = q, -q - 2*d + 5 = 0 for q.
3
Let q be -2 + -1 + (3 - 0). Suppose 3*a - 111 = -4*c, 0*c + 4*c - 5*a = 71. Let k = c - q. Solve 4*j + 3*l = -22, -4*j + 2*l = 6*l + k for j.
-4
Let t be 3 - (4/1 + -2) - -4. Solve -5*a + 3*h + 6 = -2*a, -2*a + t*h + 7 = 0 for a.
1
Let n = -5 - -11. Suppose 4*k = n + 2. Solve 5*y + 3*x - k*x = 9, -4*x - 4 = 0 for y.
2
Let c = -1 - -7. Let j = 6 - c. Suppose 4*q + q - 100 = j. Solve 45 = -5*z - 4*n, 0*z - 3*z - n - q = 0 for z.
-5
Let v = -9 + 13. Suppose 5*w + 40 = 5*n, -v*n - 4*w + 2 + 6 = 0. Suppose 0 = 5*b - 20, 0 = -4*p + 2*b. Solve n*t - 2*m = 23, -m - p + 4 = 2*t for t.
3
Suppose -4*o = -3*o - d - 32, -2*o - d + 73 = 0. Solve -x - 13 = 3*n, -2*x + 5*n + o = 3*x for x.
2
Let t(y) = y**3 - 10*y**2 + 9*y + 3. Let m be t(9). Solve s - 3*i + 5 - 16 = 0, -2*s = m*i + 14 for s.
-1
Let q = -30 - -32. Solve -6 = 2*m - 4*l, 5 = -m + 4*l - q for m.
1
Let a(c) = -c**3 - 7*c**2 - 6*c. Let m be a(-6). Solve 2*y - s + 4 = m, -3*y - 2*y = s + 17 for y.
-3
Let z = 4 + 6. Suppose -3*k - 4*t - 5 = -0*t, -4*k - 2*t + z = 0. Solve 2*v - 3*a = k*v - 18, v + 3 = 2*a for v.
3
Let p(t) = -t**2 - 8*t + 2. Let w(d) = -5*d**2 - 33*d + 8. Let g(k) = 9*p(k) - 2*w(k). Let m be g(6). Solve m*r = -2*c + 6 + 2, -3*c = 4*r - 11 for r.
-1
Let u(p) = 2*p**2 - 8*p - 6. Let t be u(6). Suppose f = d - 2*f + 6, 2*f = -4*d + t. Solve 8 = -2*l - d*b, -2*l - 3*b = -5*l + 3 for l.
-1
Let y = 133 + -129. Solve -y*r + 2*r + 1 = -z, 2*r + 2*z - 10 = 0 for r.
2
Suppose -f = 3*v - 27, 2*f - 4*f = -v + 2. Solve 4*m = v, -t = -2*t + m - 7 for t.
-5
Let h be 1 + 5/((-5)/6). Suppose -2*b - 90 = 3*b. Let j = h - b. Solve 4*p = -4*l - l + 40, j = 2*l + p for l.
4
Suppose -2*n = j - 0*n - 39, 0 = -2*n + 8. Solve -4*y - 14 = -3*k + 5*k, j = -5*y + 2*k for y.
-5
Suppose 9*p - 12 = 6*p. Suppose 0 = -4*s - w + 4 + 5, -w = 3*s - 6. Solve -y = 4*y - 4*t + 37, s*y - p*t + 27 = 0 for y.
-5
Let q(h) be the third derivative of -h**6/120 - h**5/15 + 5*h**3/6 - h**2. Let y be q(-4). Solve -12 = 3*o + y*d - 4, 2*d = -3*o - 5 for o.
-1
Suppose 0 = -2*c + 4*c - 10. Suppose -3*o = -2*o. Solve -3*v + 4*x - 31 = o, -4*v - 8 = c*x - 2*x for v.
-5
Suppose 0*r + 4*r = -2*n + 70, 2*r = 4*n + 20. Let y = -10 + r. Suppose 3*x = -y, 0 = -0*d + d - 4*x - 14. Solve -f + 9 = 5*o - o, 2*o - d = 0 for f.
-3
Let i(k) = k**2 + 2*k + 2. Let d be i(-2). Let t(h) = 2*h. Let u be t(d). Solve -5*b + 5*x - 40 = 0, -u*b + x + x = 22 for b.
-3
Let u = 1 - -4. Suppose -3*d = -2*r - 152, 60 = 2*d - 4*r - 36. Suppose -3*b = v - 76, 4*v = -2*b + 2*v + d. Solve -5*x + b = -p - 0*p, 3*x = u*p + 37 for x.
4
Suppose 4*z - x - 10 - 83 = 0, -2*z + 64 = -4*x. Solve 0*j = -3*h + j + 19, 3*j + z = 2*h for h.
5
Suppose 7*n = 2*n. Suppose 4*z + n - 24 = 0. Solve 3*c - f - 14 = 0, c = f - 2*f + z for c.
5
Let m = 2 + 6. Solve f - 5*g + m = -3*f, 7 = 5*f - 2*g for f.
3
Suppose 4*x = -2*m, 5*x = 4*m - m - 11. Suppose w = -j + 1, -m*j + 2 = 3*w - 4. Solve n = -b - w*b + 17, 2*b = -n + 8 for n.
2
Suppose -5*q + 11 = -4, -20 = -4*c - 4*q. Suppose 7 - 1 = c*h. Solve 5*k = 5*a - 17 - 13, -5*k - 24 = -h*a for a.
3
Let p = -1 + 3. Let a = -9 + 12. Suppose -5*j - 5*s - 10 = 0, -s = -j + 4*s + 28. Solve 6*b - 7 = 2*b - a*y, 11 = p*b + j*y for b.
-2
Let h = -88 + 90. Solve -8 = -h*d, 2*b + 3*b - d = -4 for b.
0
Let x(m) = -9*m - 12. Let i be x(-2). Solve -22 = -i*w + 3*w - 4*o, -5*w - o = -14 for w.
2
Suppose -6*w = -w - 10. Let u be w/(2 - (-32)/(-20)). Let g = 1 - 1. Solve u*v + 9 + 6 = -5*d, g = d + 3*v + 5 for d.
-2
Let j = -3 - -2. Let d be 8/4 + 3 + j. Solve -t = x - 5, -x = d*x - 2*t - 18 for x.
4
Suppose -6*d + 3*d = -4*y + 15, 7 = 2*y - d. Solve 0 = 5*s - 3*s + y*n + 14, 2*s - 4*n = 14 for s.
-1
Let w(a) = a**3 + 3*a**2 - 5*a - 3. Let n be w(-3). Solve m - 2*m + 3*o = n, -o = 5*m - 20 for m.
3
Let u(n) = -n - 4. Let s be u(16). Let z = 22 + s. Solve 2*i = 3*v - 1, 5 = z*v - 5*v - i for v.
-1
Suppose b + z + 21 = 6*b, -5*z + 5 = -3*b. Solve 0 = -2*k - 0*p - 2*p - 4, 3*k - b*p = -30 for k.
-5
Let q be (-66)/(-18) + (-2)/3 - -2. Solve -2*s = -6*s, -5*m + 5*s = -q for m.
1
Let d(m) = -5*m**2 + 8*m - 13. Let c(q) = -3*q**2 + 4*q - 7. Let l(o) = -7*c(o) + 4*d(o). Let z be l(-5). Solve -j = -1 - z, -3*j + 15 = 2*t for t.
3
Suppose 3*x - 60 = 7*x. Let r be (20/x)/(2/(-3)). Solve 2*s + r - 1 = -5*t, -3*s - 11 = -2*t for s.
-3
Let i(p) = p. Let d be i(1). Suppose -36 = -2*y + 2*k, -k + d = -0. Solve 6 = 2*f - 2*l, 3*l - 12 = -5*f + y for f.
5
Let i = -9 - -14. Suppose 4*h - 10 = -2, 0 = d + i*h - 13. Suppose d*s + 2*s = 85. Solve 0 = -4*x - 5*p - s, x + 1 = -5*p - 7 for x.
-3
Let j = 29 + -48. Let f = -4 - 6. Let y = f - j. Solve -5*b + y = -z, 2*z + b + 1 + 6 = 0 for z.
-4
Let a(q) = -q**3 + 7*q**2 - 6*q + 1. Let r be a(6). Suppose 0*d = -3*d + 9. Let i be (1/2)/((-2)/(-16)). Solve 0 = i*p + o - 11, -p = 3*p - d*o + r for p.
2
Suppose -68*y = -67*y - 24. Let a = -6 + 11. Solve a*x = s - y, -5*x - 3*s - 5 = 3 for x.
-4
Let w(b) = b + 22. Let i = 0 + 0. Let u be w(i). Suppose -15 = -6*a + 3*a. Solve -3*s = -a*d - 7 + u, -s + d - 5 = 0 for s.
-5
Let m(n) = n**3 + 4*n**2 + 3*n + 4. Let r be m(-2). Solve -4*s - r = 2*o, 6*s - 3*s = 3*o for o.
-1
Let c(p) = p**2 - 5*p + 4. Let z be c(5). Suppose d - z = -2. Solve -9 = 3*b, 3*u - d*b - b = 6 for u.
-1
Let a = -4 - -5. Solve -5*o - a = 3*m + 11, -o = 3*m for o.
-3
Suppose 0 = 4*g + g - 5. Let i be 258/54 + 4/18. Suppose 0 = i*m - 3 - 7. Solve m*t = 3*h - 5, -5*h - t + 5 = g for h.
1
Let r(m) = 4*m - 8. Let b be r(9). Let v = b + -24. Solve 4*o = n, -2*o + 2*n = -v*o for o.
0
Let n be -2 - -3*(-2)/2. Let a = n - -5. Suppose a = -0*b - 2*b + u + 1, -u - 5 = -4*b. Solve 2*h + 12 = -2*h + 3*s, -2*s = -b*h - 6 for h.
-3
Let m = 0 - -3. Let t(s) = 0*s**2 - 2*s + 4*s + 2*s**2 - s**m + 0*s. Let a be t(2). Solve -a = -v - 0*d + 3*d, -9 = -5*v + 4*d for v.
1
Let o(z) = -z**2 - 10*z - 4. Let t be o(-9). Suppose 0*n - t = -5*n. Solve 5*w - 3*l + 16 = n, -3*w - 5*l - 9 = 0 for w.
-3
Let k(t) = t**2. Let j(q) = 3*q**2 + 3*q - 3. Let s(p) = -j(p) + 4*k(p). Let g be s(3). Solve 2*u - 4*a + 6 = 0, u - 5*a = g*u - 3 for u.
-1
Suppose i = 4*c - 19, -3*c + 28 = c - 4*i. Solve -z - 13 = z - r, c*r = -5*z - 13 for z.
-5
Let a = -38 - -61. Solve 4*m - 19 - 16 = 5*p, 0 = 4*m - p - a for m.
5
Let w(y) = y - 15. Let n be w(0). Let k be (6/9)/(-2)*n. Solve -4*m + k*z = 7, -m - 2 + 1 = -z for m.
2
Let a be (-600)/(-56) - (-2)/7. Solve p = -2*v - 5, -a = v + 3*v + p for v.
-3
Suppose -r + 2 = -1. Suppose -3*g + 14 = -2*g + 3*w, w - 28 = -5*g. Suppose 8 = 4*s, -4*h - g*s + 0*s = -22. Solve -2*b + h*a + r = 0, -b - 3*a = -1 + 4 for b.
0
Let o(q) = -5*q - 12. Let a(n) = n + 3. Let u(z) = 9*a(z) + 2*o(z). Let s be u(5). Let k = s + 5. Solve -3*j - 2*y = -20, 0*y = -j - k*y + 16 for j.
4
Let f(b) be the third derivative of 7*b**5/60 + b**4/12 + b**3/3 - 2*b**2. Let y be f(-2). Solve -y = 5*m - w, m - w + 6 = -0*m for m.
-5
Suppose -g + x + 3 = g, 0 = -x + 3. Solve 2*m - 3*q = 2, -g*m - 4*q + q + 3 = 0 for m.
1
Let b = 62 - 20. Suppose -3*y + 2*k = 5*k - b, -3*k = 4*y - 55. Solve 2*s = -q + y, -5*s + q = -3*q - 13 for s.
5
Let i be 2/(-4) - (-13)/(-2). Let j = 11 + i. Suppose 2*m - 14 = -0*z - 2*z, -5*m + 3 = -3*z. Solve -3*n - 19 = -z*s + j, 3*n = 2*s - 19 for n.
-5
Let v be 11/(-11)*(1 - 1). Solve v = 2*u - g - g, -5*g = -3*u - 2 for u.
1
Let d be 5/5 + (-1)/1. Let j(y) = -y**2 + 5*y + 5. Let i be j(5). Suppose -1 = -3*b + i. Solve -5*u - 32 = 4*w, d
|
{
"pile_set_name": "DM Mathematics"
}
|
be q(1). Let w(k) = b - 4*k - k - 14. What is w(-2)?
7
Suppose 0*z + 6 = 2*z. Let k(q) = 2*q**2 - 6. Let n(r) = -2*r**2 + 5. Let l(s) = z*k(s) + 4*n(s). Determine l(-2).
-6
Let z(p) = -10*p + 15. Let n be z(2). Let t(v) = v**2 + 3*v - 1. Determine t(n).
9
Let g(x) = x**3 - 5*x**2 + x - 7. Suppose 0 = 3*i - 2*i, 5 = u + i. Determine g(u).
-2
Let u(d) = 1 + 1 + d**2 - 1 - 2 + d. Suppose 2*f - s = -0*s + 2, 3*s = 3*f - 6. Suppose 3*r + j - 11 = 0, f = r - 5*r - 3*j + 23. Determine u(r).
5
Suppose 3*d = d + 2. Let x = -4 + d. Let g(q) = q**2 + 3*q**2 + 9 - 13 + q**3. What is g(x)?
5
Let i(b) be the second derivative of -3*b - 1/2*b**2 - 1/6*b**3 + 0. What is i(-5)?
4
Let d(h) = h - 5. Let q = 22 + -12. Let i = q + -5. Let w be d(i). Let z(j) = j**3 + j**2 + j - 4. Determine z(w).
-4
Let j = -55 - -57. Let q(m) = m + 1. Calculate q(j).
3
Let a(m) = 16*m**2 - 2*m - 1. Suppose z + 41 = -2*z - 5*o, 3*z + 13 = 2*o. Let g(j) = -j**2 - 8*j - 8. Let t be g(z). Calculate a(t).
17
Let j(f) be the first derivative of -1/3*f**3 + 2 - 5/2*f**2 + 7*f. Determine j(-5).
7
Let b be (-3)/2*(-4)/(-6). Let d(g) = g + 1. Let x(z) = 7*z**2 - 6*z - 7. Let p(i) = -6*d(i) - x(i). What is p(b)?
-6
Let g be (-1*3)/((-9)/(-6)). Let i = -2 - g. Let b(p) = 0*p + p + i - 3. Calculate b(3).
0
Let w be 4/(-24) + (-39)/(-18). Let n(z) be the second derivative of 0 - z + 1/6*z**4 + 1/2*z**w + 1/3*z**3. Determine n(-2).
5
Let l(d) be the third derivative of 7/120*d**6 + 0 + 1/30*d**5 + 0*d**4 + 0*d + d**2 - 1/6*d**3. Let u(n) = -n**2 + 16*n + 1. Let m be u(16). Give l(m).
8
Suppose 0 = y - 2 - 0. Let d(u) = -u**2 - 4*u**2 - 2 + 3*u**y + 2*u + u**2. Give d(2).
-2
Suppose 0 = -3*j + 2 - 17. Let b(g) = 3*g**3 + 7*g + 2. Let n(l) = -2 + 2*l - l**2 - 16*l - 7*l**3 - 1. Let v(t) = -9*b(t) - 4*n(t). Determine v(j).
4
Let f(a) = -3*a - 15. Let l be f(-6). Let g(p) be the first derivative of 1/3*p**l - 2 + p**2 + 0*p. What is g(-2)?
0
Let v(q) = 1 - 12*q + 3 + 19*q + q**2. Give v(-5).
-6
Let i(x) = -12*x**2 - 5*x - 5. Let l(w) = 49*w**2 + 21*w + 21. Let b(v) = -21*i(v) - 5*l(v). Give b(-1).
7
Let y(w) = w + 1. Let n(z) = 10*z + 6. Let m(h) = -n(h) + 6*y(h). Calculate m(-2).
8
Let h(y) = 2*y - 13. Let d(j) = -3*j + 19. Let i(f) = 5*d(f) + 8*h(f). What is i(6)?
-3
Let r be ((-3)/9)/(4/(-36)). Let o(v) = -v**2 - 5*v + 5*v + 4*v + r. Let s be (-8)/2*5/(-4). Determine o(s).
-2
Let q = 7 + -2. Suppose -3*a + 10 = -3*s + 1, q*a = -3*s + 7. Let m(b) be the third derivative of b**6/60 + b**5/60 + b**2. What is m(s)?
-1
Let y(f) be the first derivative of -2 + 1/2*f**2 - 2*f. Let m = 168 - 170. What is y(m)?
-4
Let l(h) = h**3 - 3*h**2 + 2*h + 1. Let u be -2 + 0 - (-3)/(-3). Let m = -5 - -6. Let w be u/(-3) + (m - -1). What is l(w)?
7
Let w(h) = -h**2 + 4*h + 1. Let u be w(5). Suppose 4*n = -5*t - 16, t - 1 = -5. Let i(c) = -c + 4*c**2 + n - 3*c**2 + 5*c. What is i(u)?
1
Let q(j) = 7*j**2 - 7*j - 4. Let k(t) = -13*t**2 + 13*t + 8. Let v(c) = -6*k(c) - 11*q(c). Calculate v(4).
8
Let y(t) be the third derivative of t**7/840 - t**6/72 + t**5/30 - t**4/8 - t**3/6 - 4*t**2. Let c(h) be the first derivative of y(h). Determine c(3).
-9
Let a(v) = -v**3 - 4*v**2 + 2. Suppose -u + 4 = u. Let p be (-1)/(u/2) + 25. Suppose o + 16 = 3*s, 5*s - 4 = 2*o + p. Calculate a(o).
2
Suppose 1 = 2*o - 2*j - 1, 3*j = 9. Let s(d) be the third derivative of 0 + d**2 + 1/120*d**6 - 1/15*d**5 + 1/6*d**3 + 0*d + 1/8*d**o. Give s(3).
1
Let j(q) = -4*q - 3. Let y(i) be the first derivative of -i**3/3 - 4*i**2 + 7*i + 3. Let n be y(-9). What is j(n)?
5
Suppose -r = -4 + 2. Let s(o) = -9 + 5*o**2 - 2*o - r*o - 4*o + o**3. What is s(-6)?
3
Let m(j) = -j - 5. Let q be m(-6). Let h(s) = 0 - 4 + 3 + 9*s**2 - 12*s**2. Determine h(q).
-4
Suppose 0 = f + 2*v - 13, 0 = -4*f - 2*v - 6 + 34. Let u(g) = g - 3. Calculate u(f).
2
Let x(h) = -h**3 - 4*h**2 - 2*h + 2. Let n = -53 + 51. Give x(n).
-2
Let s(m) = m + 1. Let k(x) = -3*x - 7. Let d(r) = -k(r) - 4*s(r). Let i be -1 + 3 + 2 + -9. Determine d(i).
8
Suppose 5*s + 4*h + 11 = 35, 2*h = 3*s - 10. Let p(r) = -s - 1 - 1 + 3*r. What is p(4)?
6
Suppose 2*h + 38 = 3*a - 3*h, 2*h = 5*a - 95. Let k be (-32)/(-6) + (-7)/a. Let y(b) = b - 10. Calculate y(k).
-5
Let c be 5/4 + (-3)/12. Suppose -5*h - 6 + c = 0. Let w(j) = 7*j - 1. Determine w(h).
-8
Let r(k) = k**3 + 4*k**2 - k + 5. Let p = 12 - 7. Suppose -l + 1 = p. Calculate r(l).
9
Let g(n) = n**2 - 7*n + 4. Let i be (-2)/(2/6 + -1). Determine g(i).
-8
Let h(u) = -4*u - 1. Suppose -64*p + 9 = -55*p. Give h(p).
-5
Suppose 2*h + 16 = 6*h. Let t = 3 + h. Let g(b) = b**3 - 6*b**2 - 7*b + 4. Give g(t).
4
Suppose -5*j + j - 16 = 0. Suppose 0 = -4*q + 6*q. Let t(i) = 1 + 7*i + 1 - 8*i + q*i. What is t(j)?
6
Let a(l) = l**2 - 22*l + 22. Let r be a(21). Let w(o) = -20*o - 1. What is w(r)?
-21
Let x(p) = 6*p - 4 + p**3 - 4*p**2 - p + 3 - 2*p**3. What is x(-5)?
-1
Let q(v) = v**2 - 2*v - 4. Suppose 3*s - 8*s = 0, f = 4*s + 3. Let d be q(f). Let w(h) = h + 2. Calculate w(d).
1
Let d(q) = q**3 + q - 6. Let x(o) = -5*o + 20. Let h be x(4). What is d(h)?
-6
Let l(t) be the third derivative of -t**6/360 - t**5/120 - t**4/24 + t**3 - t**2. Let b(x) be the first derivative of l(x). Calculate b(0).
-1
Let u(d) = -d**2 - 6*d + 1. Let x be -1*(0 - (0 + 2)). Suppose 2*b + 2*h = -x*b - 16, 0 = -b + 3*h - 4. Let g be (-2)/2 + (b - 0). Determine u(g).
6
Let l(g) = 3*g - 78 + 76 - 2*g. Calculate l(3).
1
Let u(l) = -l + 2. Suppose -11 = -2*i - w, -3*w + 18 = -3*i + 4*i. Suppose i*p + 0*p = -30. Let g be (-6)/p + 44/10. Give u(g).
-3
Let r(b) = -4*b - 3. Let y be (-4 + -1 + -1)/2. Determine r(y).
9
Let i(q) = -6*q**3 + 2*q**2 - 1. Let c be i(1). Let n(h) = h**3 + 4*h**2 + 3*h**3 + 2*h**2 - 3*h**3 + 4*h. Determine n(c).
5
Let p(r) = -9*r**3 - r**2 + r + 1. Let w be (-2)/5 - 3/5. Give p(w).
8
Let f(h) = h**2 - 7*h - 3. Let x(v) = -4*v**3 + 2*v**2 + v + 1. Let w be x(-1). Let d = -1 + w. Determine f(d).
-13
Let k(o) = -3*o**2 - 2*o - 1. Let j(f) = -16*f**2 - 11*f - 5. Let x(i) = -2*j(i) + 11*k(i). Give x(-2).
-5
Let j(l) = 5 - 241*l**2 + 243*l**2 + 4*l - 5. What is j(-3)?
6
Let v(t) = -t**3 + 6*t**2 - 5*t + 2. Let k = 7 + -2. Let b be v(k). Let o(g) = -g + 1. Give o(b).
-1
Let m(n) = -3*n + 10. Let c(i) = 2*i - 10. Let v(p) = -4*c(p) - 3*m(p). Determine v(-7).
3
Let j(s) be the second derivative of -1/2*s**3 - 7/2*s**2 + 0 - s. Determine j(-5).
8
Let r(j) be the third derivative of -j**5/60 - j**4/4 - j**3/3 - 6*j**2. Calculate r(-5).
3
Let q(h) = -8*h - 3. Let c(w) = 4*w + 2. Let o(r) = -5*c(r) - 3*q(r). Let i be (-8)/12 - 14/6. Let l(d) = -d**2 - 2*d + 2. Let g be l(i). What is o(g)?
-5
Let r(x) = -x**3 + 6*x**2 - 5. Suppose -5 - 1 = b. Let q be b/9 + 60/9. Give r(q).
-5
Let u(i) be the first derivative of -i**2/2 + 4*i + 8. Determine u(-3).
7
Let c(y) = -7*y**2 - y. Let n(r) = r**3 - 8*r**2 + 9*r - 8. Let b be n(7). Suppose 5*x - 23 - 7 = 0. Let j be ((-4)/x)/((-4)/b). What is c(j)?
-8
Let c(t) = -11*t - 1. Let d(q) = 22*q + 2. Let b(p) = 5*c(p) + 3*d(p). Give b(1).
12
Suppose -2*d - 3*q + 133 = 0, q = 6 - 3. Suppose -p + d = 20. Let l be 2/(-10) + p/(-15). Let m(k) = k. Determine m(l).
-3
Let a(m) = 2*m + 3*m**2 - 6 + 0*m + 2 - 3*m + m**3. Determine a(-3).
-1
Let b(g) = -3*g - 4. Let u = 46 - 47. Let h be (2/(-4))/(2/(-8)). Let p = u - h. Determine b(p).
5
Let f(s) = -3*s + 8. Suppose 0 = 2*c + 5 - 17. Calculate f(c).
-10
Let n = 8 - 12. Let b(z) = -z**3 - 4*z**2 + 5*z - 2. What is b(n)?
-22
Let t(o) = o**2 - 4*o - 7. Let p be (-2)/4*-2 + 4. Calculate t(p).
-2
Let m(a) = 3*a**2 + 6*a - 6. Let h(d) = 8*d**2 + 18*d - 18. Let s = -19 + 8. Let y(g) = s*m(g) + 4*h(g). Determine y(6).
-6
Let g(z) = -z**3 - 5*z**2 + 5*z - 6. Suppose 6*b = 2*b + d + 25, -4*d = -4*b + 40. Let p = -11 + b. Calculate g(p).
0
Let t(q) = q**2 + 3*q - 4. Suppose -5*z - 5 = -5*w, 0*w - 5*z = 3*w + 37. Give t(w).
0
Suppose 0 = -5*y + 15, -t + 0*t - y = -8. Suppose -t*s - 15 = -2*s. Let h = s + 2. Let g(a) = 2*a**2 + 5*a + 4. Determine g(h).
7
Let i(d) = -d. Let v(r) = -r + 2. Let z be v(-4). Calculate i(z).
-6
Let o(z) = -3*z**2 + 2*z - 1. Suppose 3*p - 4*x = 12, 4 = 2*p - p - x. Let j = 0 + p. Let y = j - 2. Give o(y).
-9
Suppose 5*a = -0*z - z + 15, 4*a = 4*z + 12. Let c(k) = -23*k**a + 2*k**2 - k +
|
{
"pile_set_name": "DM Mathematics"
}
|
e -2*s + 16 = 2*s. Let i be (-6)/4 + (-2)/4. Let n = s + i. Solve c = n*c for c.
0
Suppose 33 = 2*o + 5*n + 2, 25 = 5*n. Suppose -f + 8 - o = 0. Suppose 0 = -2*a + f*a - 6. Solve a*l - 2 = -0*l for l.
1
Let r(j) = 6*j**3. Let y be r(1). Suppose a = y*a. Suppose -10*q + 8*q + 16 = a. Solve 3*b - 1 = q for b.
3
Suppose 5*u - 2*s = 16 - 4, 3*u - 5*s - 11 = 0. Solve -10*p - u = 28 for p.
-3
Let y = -365 + 368. Solve y = 6*s - 9 for s.
2
Suppose 0*j - 3*n = 5*j - 15, -2*j + 3*n + 6 = 0. Let x(i) = 2*i - 5. Let v be x(j). Suppose -2*w + v + 7 = 0. Solve -u = w*u for u.
0
Let r = -34 - -36. Let j(v) be the second derivative of -v**3/6 - 3*v**2 + 2*v. Let k be j(-6). Solve r*z - 4*z = k for z.
0
Suppose -3*f - c = 2*f - 23, -2*c = -5*f + 14. Suppose f*n - 3 - 17 = 0. Solve 0 = -n*l - 2 - 3 for l.
-1
Let z be (0*(-4)/12)/(-2). Let j = -13 - -10. Let o be 2 + (-2 - -2)/j. Solve 0*i - i + o = z for i.
2
Suppose 5*a + 0 = 25. Let u(b) = -b + 4 + 3*b - 5 + a*b. Let l be u(1). Solve 0 = 4*f - l*f for f.
0
Let o(q) = -2*q + 6. Let f be o(-7). Let j = 26 - f. Suppose -67 = -j*m - 25. Solve -2*w - m = -3 for w.
-2
Let u be (111 + -99)/(3*1). Solve 0 = -u*i - 10*i + 56 for i.
4
Let b(y) = -y**3 + 10*y**2 + 13*y - 9. Let a(w) = 10*w**2 - 2*w - 1. Let q be a(-1). Let d be b(q). Suppose t + d = 22. Solve -5 = -t*f + 4*f for f.
1
Let w be (-31)/(-6) - 13*10/780. Solve -2*a = -w*a - 6 for a.
-2
Suppose 7*s - 3*s - 4 = 0. Let d = s - -3. Solve -d*h + 3*h = 0 for h.
0
Let d = -763 - -824. Solve -6 = -59*q + d*q for q.
-3
Let a = 10 - 18. Let c(v) = -v**3 - 9*v**2 - 11*v - 12. Let f be c(a). Let l be 8/f + 10/3. Solve -g + l = 9 for g.
-5
Let x(r) = 0*r - 15 - 4*r + r. Let m be 15/12*(1 + -5). Let d be x(m). Solve d*l - 2*l - 6 = 0 for l.
-3
Suppose -3*h - 15 = -5*f, 3*f + h + 3*h = -20. Suppose n = -f*n. Solve n = 4*p + 4 - 0 for p.
-1
Suppose 2*u - 3*v - 10 = 8, 0 = 4*v + 16. Solve 0 = -3*r - u*r for r.
0
Let a = 1730 - 1709. Solve -9 + a = 12*c for c.
1
Let b = 50 - 47. Solve b*m - 16 = 7*m for m.
-4
Suppose y - 2*s + 2 = 0, 2*y - 3*s + 0 + 1 = 0. Solve 37*v - 38*v = -y for v.
4
Let b be 530/(-60) + 1/(-6). Suppose 15 = -5*i, 5*g - 2*i - 3*i = -25. Let f = g - b. Solve f - 16 = -5*p for p.
3
Let d = 0 + 9. Let h = d - 5. Suppose -h*s - 30 = -98. Solve -2 = -5*g - s for g.
-3
Suppose z = 5*y - 5, -2*z - 2 = -y - 1. Suppose 5*t + s = 5, -s - 4 = 4*t - 9. Let f be t/(-1 + 2 - z). Solve -2 = -f*c + c for c.
-2
Suppose 3*g = 2*g + c + 9, 26 = 3*g - 4*c. Let q = 7 + -2. Solve 3*f - q*f = g for f.
-5
Let g = 8 - -4. Let b = 0 + 2. Let u be 1*(b + -2)/5. Solve 5*o - o - g = u for o.
3
Let z(j) = 5*j**3 - 2*j**2 + 1. Let m be z(1). Solve f - 3*f = m for f.
-2
Let p = -27 - -8. Let f be (p/(-95))/(1/5). Solve 2*n + f = -7 for n.
-4
Suppose 3*t + 4*t = -1890. Let h be t/60*-2*(-1)/(-3). Solve 2*y = 1 + h for y.
2
Suppose 29*o = 25*o. Solve o = 3*j + 18 - 3 for j.
-5
Let j = 15 - 22. Let y(k) = -k**3 - 6*k**2 + 7*k + 4. Let w be y(j). Suppose 0*z - 17 = -3*z - 2*q, 4*z - w = 2*q. Solve d + 0*d = -z for d.
-3
Let w be -5*(-1 - 28/(-10)). Let p be (0 + 0)/(12 + w). Suppose -3*l = -4*b, 3*l = -4*b - p*b. Solve -3*y + l = 3 for y.
-1
Let p be (-1 - -3) + 5 - 2. Suppose 0 = u + 2*z, 4*u + p*z - 12 = z. Suppose 2*m = -3*r - 11, -10 = -3*m + 2*r + u. Solve -l + m*l = -4 for l.
-4
Let q be 1/2*13/(52/(-168)). Let g = q + 21. Let l = -3 + 5. Solve g = l*w - w for w.
0
Let z = -49 - -39. Let m(h) = -h**2 - 11*h - 10. Let n be m(z). Let i(k) = -k**3 + 5*k**2 + 2*k + 6. Let q be i(5). Solve 4*u - q = -n*u for u.
4
Suppose 5*d = -4*r - 8, -4*d = 4*r - 0 + 8. Let j be (0/1)/(-4) - d. Solve j = -3*b - 3 for b.
-1
Let t be (36/(-15))/(26/(-65)). Solve 0 = -5*s + 9 + t for s.
3
Let z(u) = 5*u - 8. Let v(s) be the first derivative of 3*s**2 - 9*s + 10. Let m(q) = -2*v(q) + 3*z(q). Let g be m(6). Solve 4*f - f = -g for f.
-4
Let v(l) = l**2 + l + 2. Suppose 0 = -3*g + 12, g = -5*s - 4*g + 20. Let b be v(s). Suppose b*j - 2 = j. Solve -3*y = j*y for y.
0
Suppose -2*o + o + 2 = 0. Let n be 12/9*o*(-9)/(-6). Solve -w - n = -0*w for w.
-4
Let m be (-1 - (-455)/(-4))*-4. Let x be 2/(-5) - m/(-135). Solve x*t = 2 - 8 for t.
-2
Let a = -19 + 23. Suppose a*x + 1 = 5. Solve -f - x - 1 = 0 for f.
-2
Let o(q) = q**3 + 8*q**2 + 6*q - 4. Let s = -11 - -4. Let m be o(s). Solve 0 = p - m*p for p.
0
Let x = 560 + -544. Solve -1 + x = -3*j for j.
-5
Let b(u) = u**2 - 7*u + 7. Let a be b(7). Let p be -3 + a + -1 + 1. Suppose 0*j - 24 = -p*j. Solve -22 = 4*q - j for q.
-4
Let c(j) be the first derivative of j**4/4 - 7*j**3/3 - 9*j**2/2 + 14*j - 17. Let r be c(8). Solve 3*i - 6*i = r for i.
-2
Suppose 0 = 4*l + 4*p - 19 + 3, l - 5*p + 2 = 0. Suppose 2*k + 3*r = 31, 3*k + l*r = -2*r + 47. Let t = k + -11. Solve 5 = -2*z - t for z.
-4
Let o be 2/(2*8/72). Solve 22 = -o*b - 14 for b.
-4
Let y(v) = v + 31. Let a be y(-15). Suppose 3*j - a - 11 = 0. Solve -4*i = -j*i - 25 for i.
-5
Suppose 0 = -l - 3*a + 3, 2*l + 3*a + 15 = 7*l. Suppose -5*p + p = -20. Suppose 2 + 8 = p*b. Solve -b*o - 13 = -l for o.
-5
Let d(k) = -6*k**3 - 15*k**2 - 4*k + 26. Let j(c) = c**3 + 3*c**2 + c - 5. Let n(x) = -2*d(x) - 11*j(x). Let y be n(4). Solve -1 - y = 2*z for z.
-4
Let o be (4/(-5))/(2954/(-210) - -14). Suppose 0*n - 2*n = j - 6, 3*j - n = 4. Solve p + j*p = o for p.
4
Suppose 0 = 5*i + 125 - 15. Let m(k) = -k**3 - 23*k**2 - 20*k + 45. Let n be m(i). Solve 3*v - 4 + n = 0 for v.
1
Suppose -240 = -13*u + 8*u. Suppose 0 = -2*t - t + u. Let l be t/72 + (-2)/9. Solve -o - 4 = -l for o.
-4
Suppose 5*m + l = 15, -5*l - 8 + 3 = 5*m. Solve -9*y - m = -13*y for y.
1
Let q = 25 + -14. Solve 0 = -2*d + 9 - q for d.
-1
Let d(b) = -b + 13. Let a be d(8). Suppose -4 = -3*n + a. Solve -n*f = -f + 6 for f.
-3
Let m(y) = y - 10. Let c be m(11). Let l(t) = -4*t + 4. Let g be l(c). Solve g*z - 2 = -2*z for z.
1
Suppose -4*o - 49 = -11*o. Solve 9*w - o*w = 2 for w.
1
Let v be (-2)/(3 + 3 - 4). Let n be (-3)/(-6)*v*0. Solve -2*m + n*m = -6 for m.
3
Suppose -13 = 5*s + 7. Let o(z) be the third derivative of -z**5/60 - 5*z**4/24 - z**3/6 - z**2. Let x be o(s). Solve 0 = h + x - 2 for h.
-1
Let u be ((-4)/10 + 0)*(0 - 15). Solve 17*n + u = -11 for n.
-1
Suppose -21*x - 2*i - 96 = -23*x, 4*i - 16 = 0. Solve 7*w = -x + 24 for w.
-4
Let t be (1 - 5) + 4*(-42)/(-24). Solve -4*n + t = 7 for n.
-1
Suppose 3*v - 5*x - 46 = 0, 2*v - 6 = v - 3*x. Let u(i) be the third derivative of -i**4/24 + i**3 - 2*i**2. Let j be u(6). Solve -2*f - f + v = j for f.
4
Let n = -276 + 277. Let l(o) = 5*o**2. Let i be l(-1). Suppose -f + 2*b - 4 = 5*b, i*f = -2*b + 6. Solve f*c - n = -5 for c.
-2
Let s be 27/6 - 2/4. Suppose -s*g - 3*o = -19, 3*g = -3*o + 18 - 3. Suppose -40 = -5*c - 5*k, 4*c + 9*k = 11*k + 14. Solve 0 = c*q + g + 16 for q.
-4
Let k be 1*2 + (-48)/(-16). Solve -25 + 5 = -k*z for z.
4
Let n = -715 + 926. Solve n = -2*f + 219 for f.
4
Suppose 2*p = -2*g + 32, 2*p - 10 = -g + 22. Suppose 16 = 4*l - 4*i, -4*i + 4 = 5*l - p. Solve l*n - 2 = 6 for n.
2
Let z(x) = x + 2. Let l be (4 - 4)/(-1 - -2). Let o be z(l). Suppose 0 = 3*b - 3*h + 6, 3*b - 5*h = -0*b - 14. Solve b*m = m - o for m.
-2
Let o be 1/((-2)/(-1) + -1). Suppose -f = -34 + 171. Let j = 137 + f. Solve 5*n - o + 26 = j for n.
-5
Suppose 15 = 5*y - 0. Let z be (0/(-2))/(0 + 1). Let v = 1830 + -1826. Solve -y*k - 5 - v = z for k.
-3
Suppose 0 = 2*q - 0*q - 6. Suppose -4*t + 11 - q = 0. Solve 7 + 3 = -t*n for n.
-5
Let o(m) = 8*m - 36. Let h be o(15). Let w be ((-8)/(-6))/(28/h). Solve w + 11 = 5*v for v.
3
Let z(w) = w**3 + w**2 - 2*w. Let g be z(-2). Suppose 12*l - 14*l + 14 = g. Solve -l*c = -2*c for c.
0
Suppose -3*k = -k + 2, -b - 4*k = 4. Suppose 3*z + 3*x = b, 0 = 2*z + x + 2 - 5. Solve 0 = -z*w - 1 - 8 for w.
-3
Suppose 4*g - 86 = 3*n, 3*g - n + 30 = 92. Let u = 341 + -341. Suppose -5*w - 4*t = 10, u*t + 2*t + g = 5*w. Solve -6 = 4*s - w for s.
-1
Suppose 0 = -3*f - 6*f + 27. Solve f*t + 40 = 34 for t.
-2
Let a(q) = -22*q + 157. Let j be a(7). Solve -4*s + j*s = -1 for s.
1
Let s be 48/(-20)*(-165)/66. Solve -5*q - s + 16 = 0 for q.
2
Suppose -2*b - 21 - 31 = 0. Let h = b + 28. Solve h - 4 = m for m.
-2
Let h = -33 + 19. Let j = h + 17. Suppose -3*m = j*z - 0*m + 6, -3*z - 10 = 4*m. Solve -2*y + z = -2 fo
|
{
"pile_set_name": "DM Mathematics"
}
|
2*p**3 + 4
Let a(j) = -107*j + 139. Let n(z) = -104*z + 112. Calculate 5*a(k) - 6*n(k).
89*k + 23
Suppose 8 = 5*h - h. Let f(m) = 2*m**3 - m + 1. Suppose 0 = 73*u - 71*u - 190. Let a(s) = -u*s**3 - 17*s - s**2 - 1 + 18*s + 94*s**3. Determine h*f(w) + 2*a(w).
2*w**3 - 2*w**2
Let w(n) = -4*n**2 + 2. Let j(b) be the first derivative of -b + 1739. Give j(l) + w(l).
-4*l**2 + 1
Let d(i) = 8*i + 1. Let v(q) = 1526*q + 7. Give -7*d(z) + v(z).
1470*z
Let a(c) be the second derivative of -c**4/6 + c**3/3 + 1650*c. Let v(x) = x**3 - x**2 + x. What is -5*a(w) + 10*v(w)?
10*w**3
Let z(u) = 33*u**2 + 12*u + 18. Let d(j) = 132*j**2 + 50*j + 81. Calculate -2*d(r) + 9*z(r).
33*r**2 + 8*r
Let d(b) = -b**3 - b**2 - b + 2. Let i(k) = 7*k**3 + 1298*k**2 + 3*k - 8. Calculate 5*d(c) + i(c).
2*c**3 + 1293*c**2 - 2*c + 2
Let i(r) = 11*r**2 + 7. Let t(o) = 5*o**2 + 3. Suppose 0 = 12*u + 70*u - 518 + 190. Calculate u*i(j) - 9*t(j).
-j**2 + 1
Suppose -1 = s - j - 4*j, 3*s - j = 11. Suppose -2*p = 5*k - 28 - 27, -3*k - 71 = -s*p. Let q(c) = 6 - 2 - c - 4. Let a(w) = -8*w. Calculate p*q(g) - 3*a(g).
4*g
Let u(x) = x + 65. Let l(a) = -781*a + 66. Give l(c) - u(c).
-782*c + 1
Let j(g) = 6*g**3 + 7*g**2 + 2*g + 4. Let p(v) = -17*v**3 - 20*v**2 - 5*v - 11. Let s be (-220)/2*(-393)/3930. Determine s*j(d) + 4*p(d).
-2*d**3 - 3*d**2 + 2*d
Let z(m) = -3. Suppose -p + 2*c - 1 = -0, 0 = c. Suppose 4*j + 7 - 2 = 3*v, 4*v - 13 = -j. Let l(h) = -3*h**2 + h**2 + v*h**2 + 1. Determine p*z(d) - 2*l(d).
-2*d**2 + 1
Let k(o) = 126*o**2 + 15*o + 10. Let z(s) = 57*s**2 + 5*s + 3. Calculate 2*k(b) - 7*z(b).
-147*b**2 - 5*b - 1
Suppose -8 = 1017*s - 1016*s. Let j = -3 - -7. Let g(p) = -5 - 2*p - 4*p + j*p. Let q(m) = 3*m + 8. What is s*g(c) - 5*q(c)?
c
Let v(o) = 18*o**2 + 3*o + 9. Let p(j) = 9*j**2 + j + 4. Let b = 18163 - 18172. Give b*p(f) + 4*v(f).
-9*f**2 + 3*f
Let q(m) = 15*m**2 - 4*m - 6. Let l(a) = -1 - a + 3*a**2 + 2*a**2 - 2*a**2 + 3*a**2 - 3*a**2. What is 11*l(j) - 2*q(j)?
3*j**2 - 3*j + 1
Let g(f) = 15*f**3 + 13*f**2 + 13*f + 12. Let y(v) be the first derivative of 7*v**4/4 + 2*v**3 + 3*v**2 + 6*v - 3557. What is 6*g(a) - 13*y(a)?
-a**3 - 6
Let x(g) = -2*g**2 + 64*g - 85. Let w(a) = 3*a - 5. What is -6*w(s) + x(s)?
-2*s**2 + 46*s - 55
Let o be ((-15)/18)/(2/(-12)). Let v(p) = -o*p + 12 - 35 + 21. Let b(u) = 12*u + 2 - 26*u + 11*u + 8*u. Calculate -5*b(c) - 6*v(c).
5*c + 2
Let t(q) = -66*q**2 - 22*q - 22. Let v(h) = h**2 + h + 1. Suppose 5*j + 57 - 22 = 0, -4*z = 9*j + 67. Calculate z*t(k) - 22*v(k).
44*k**2
Let o be ((-594)/231)/(4/(-14)) + -8. Let s(t) = -27*t + 6. Let w(m) = m - 1. Give o*s(b) + 6*w(b).
-21*b
Let k(o) = -o**2 + 3*o + 1. Let i(z) be the third derivative of z**5/30 - 5*z**4/24 - z**3/2 - 25634*z**2. Suppose b + 0*b = -3. Calculate b*i(c) - 5*k(c).
-c**2 + 4
Let b be (-4)/(-3)*((-30)/(-4))/(-5). Let m(c) = -c**2 - c. Let v(y) = -7. Let l(h) = 10. Let i(k) = 5*l(k) + 7*v(k). Determine b*m(q) - 3*i(q).
2*q**2 + 2*q - 3
Let r(l) = 4*l**3 + 3*l + 4. Let p(s) = s**3 - s - 1. Let i(v) = -v**2 - 125*v - 1746. Let u be i(-16). Determine u*r(t) - 6*p(t).
-14*t**3 - 2
Let w(p) = 52*p - 1. Let c(g) = 310*g + 4. Let i(f) = -c(f) + 6*w(f). Let x(j) be the first derivative of -j**2/2 + 4*j + 1. Give -5*i(a) - 12*x(a).
2*a + 2
Let q(o) = -124548*o - 20758. Let w(n) = 13*n + 2. Determine -q(u) - 10379*w(u).
-10379*u
Let f(m) be the third derivative of m**5/12 + 31*m**4/24 - m**3 + 24*m**2 + 7. Let l(b) = -b**2 - 6*b + 1. Let s = -38 - -27. What is s*l(w) - 2*f(w)?
w**2 + 4*w + 1
Let h(x) = 737. Let f(v) = -2*v + 1445. Calculate 3*f(k) - 5*h(k).
-6*k + 650
Let t(o) = -o**3 - o**2 - o + 1. Let j(y) = -158*y**3 + 2*y**2 + y - 2. Determine -2*j(q) - 4*t(q).
320*q**3 + 2*q
Let w(y) = -5*y + 6. Let z(r) = -52*r + 29. Give w(l) - z(l).
47*l - 23
Let d(r) = 4*r**3 + 14*r - 11. Let q(w) = -7*w**3 + 45*w**2 + w + 1. Let p(y) = 3*y**3 - 20*y**2 - y. Let n(c) = 9*p(c) + 4*q(c). Give 4*d(f) + 11*n(f).
5*f**3 + f
Let h(d) be the first derivative of -9*d**2/2 - 17*d + 2245. Let c(t) = 26*t + 50. Determine 6*c(p) + 17*h(p).
3*p + 11
Let x(o) = 4*o**3 - o**2 - 5*o - 4. Let p be x(-1). Let d be (-13 - -12)*(-4 + (-4 - -3)). Let z(s) = -8*s - 4. Let i(u) = -9*u - 5. Determine d*z(h) + p*i(h).
-4*h
Let r(j) = -9*j + 2. Suppose 1535 = -595*p + 288*p. Let q(v) = 10*v - 3. Suppose m - 3*x + 10 = 0, 3*m + 30 = -2*m + 5*x. Calculate m*q(k) + p*r(k).
5*k + 2
Let k(s) = 2*s**2 - 11*s - 20. Let m(p) = 163 + 7*p + 159 - p**2 + 139 - 448. Give 5*k(y) + 8*m(y).
2*y**2 + y + 4
Let n(v) = 10*v**2 + 15*v + 28. Let m(h) = -3*h**2 - 4*h - 8. What is -7*m(r) - 2*n(r)?
r**2 - 2*r
Suppose 1414 = 380*w + 274. Let i(h) = 6*h - 20. Let m(r) = -r + 4. Determine w*i(f) + 14*m(f).
4*f - 4
Let f(d) = -7*d - 3. Let o be (-18)/27*168/(-16). Let g(b) be the second derivative of 5*b**3/3 + 2*b**2 - b. Determine o*f(q) + 5*g(q).
q - 1
Let h(u) = -84*u - 9412. Let o be h(-112). Let k(y) = -6*y**2 + 3*y + 1. Let m(l) = 6*l**2 - 4*l - 1. Give o*m(x) - 5*k(x).
6*x**2 + x - 1
Let l(z) = -2*z**2 + 280*z + 12. Let g(a) = 3*a**2 - 420*a - 19. Determine -5*g(k) - 8*l(k).
k**2 - 140*k - 1
Let r = -64739 - -64735. Let s(i) = -3*i. Let l(h) = 4*h - 2 + 2. Give r*s(w) - 5*l(w).
-8*w
Let c(t) = -t + 8*t - 48 + 1 + 53. Let i(r) = 6*r + 6. Suppose -6 = 12*x - 78. Determine x*i(s) - 5*c(s).
s + 6
Let w(s) = -s - 1. Suppose -38*u + 20 = -58*u. Let b(n) = -15*n + 5. Let v(i) = -29*i + 9. Let j(h) = 11*b(h) - 6*v(h). Calculate u*j(f) - 3*w(f).
-6*f + 2
Let v(w) = 2*w - 1. Let t = -347 + 345. Let p(n) = -19*n + 13. Let b(h) = 10*h - 7. Let s(u) = 11*b(u) + 6*p(u). What is t*s(z) - 5*v(z)?
-2*z + 3
Let b(z) = -z**3 + z**2 + 2. Let o(i) = -6*i**3 + 5*i**2 - 2007. What is -5*b(j) + o(j)?
-j**3 - 2017
Let m(f) = -8*f**2 + 479*f + 1. Let b(d) = -7*d**2 + 495*d + 1. Determine 5*b(y) - 4*m(y).
-3*y**2 + 559*y + 1
Let p(a) = -4*a**3 + a**2 - 16*a - 6. Let f(s) = 4*s**3 - s**2 + 17*s + 9. Give -2*f(m) - 3*p(m).
4*m**3 - m**2 + 14*m
Suppose -z - 4 = -3*z. Let h(n) = -64*n**z + 36*n**2 + 27*n**2 - n - 1. Let f(p) = -p**3 - 3*p**2 - 3*p - 3. Calculate -2*f(a) + 6*h(a).
2*a**3
Suppose 12 + 7 = 3*o + 19. Let w(v) be the third derivative of 0 + o*v + 38*v**2 - 1/24*v**4 - 1/6*v**3. Let r(m) = m**2 - m - 1. What is -r(p) + w(p)?
-p**2
Let n(y) = -1073 + 533 + 547 - 11*y. Let k(h) = 17*h - 5*h - 3 - 6 - 4*h. Let b(c) = 5*c - 6. Let u(i) = -7*b(i) + 5*k(i). Determine -2*n(t) - 5*u(t).
-3*t + 1
Let u = -76 + 83. Let r(z) = z**2 + z - 1. Let a(q) = 6*q**2 + 11*q + 2. Let w(h) = a(h) - 2*r(h). Let v(b) = 2*b**2 + 5*b + 2. Calculate u*v(l) - 4*w(l).
-2*l**2 - l - 2
Let o(u) = -21*u + 1393. Let t(h) = 46*h - 2789. Calculate 13*o(j) + 6*t(j).
3*j + 1375
Let x(a) = a**3 - a**2. Let k(j) be the third derivative of -j**6/20 + j**4/24 + j**3/6 - 2*j**2 - 3549. Give -k(f) - 5*x(f).
f**3 + 5*f**2 - f - 1
Let h(i) = -2*i**3 + 18*i**2 + 39*i - 187. Let p be h(10). Let b(g) = -6*g + 1. Let m(n) = 17*n - 3. What is p*m(f) + 8*b(f)?
3*f - 1
Let v(d) = 3*d**3 + 8*d**2. Let q = -126 + 133. Let m be (q + 2)*(-8)/(-8). Suppose -10*w - 1 = m. Let u(g) = g**3 + g**2. Give w*v(k) + 6*u(k).
3*k**3 - 2*k**2
Suppose 19*b - 85 + 28 = 0. Let v(h) = 2*h**3 - 7*h**2 - 3. Let r(g) = -g**3 + 1. Calculate b*r(s) + v(s).
-s**3 - 7*s**2
Let k(b) = -5*b**2 - 6*b + 487. Let l(s) = 4*s**2 + 5*s - 483. What is 5*k(y) + 6*l(y)?
-y**2 - 463
Let s(l) = 4*l + 5. Let j = -442 + 1185. Let m = 738 - j. Let q(r) = 5*r + 4. What is m*s(d) + 6*q(d)?
10*d - 1
Let f(j) = -j**3 + 5*j - 4. Let k(l) = l**3 - l + 1. Let w(s) = 81 + 8*s + 11*s - 8 + 0*s. Let m be w(-4). Give m*k(x) - f(x).
-2*x**3 - 2*x + 1
Let j(k) = 41*k**2 + 17*k + 17. Let b(r) be the second derivative of 7*r**4/6 + r**3 + 3*r**2 + 2*r - 73. What is -17*b(o) + 6*j(o)?
8*o**2
Let k(x) = 13*x. Let f(z) be the third derivative of -25*z**4/24 - 197*z**2 + 3*z. Calculate 6*f(m) + 11*k(m).
-7*m
Let h(c) = 4*c. Let p(d) be the first derivative of 4*d**2 + 1. Let x = -14317 - -14322. Calculate x*h(i) - 3*p(i).
-4*i
Let f(d) = -d + 3. Let i(o) = o + 1. Let n be (2 + 14/(-6))/(5/(-15)). Suppose 5*t = -4*b - 32, 2*t - 14*b = -15*b - 11. Calculate n*f(g) + t*i(g).
-5*g - 1
Let k(u) = -17*u**2 + u - 3. Let b(j) = -32*j**2 - 527*j - 6. Give -b(w) + 2*k(w).
-2*w**2
|
{
"pile_set_name": "DM Mathematics"
}
|
z**2. Let o be -6 + 8 + 1*-1. Let r(m) = -2*m**3 + 2*m**2 + 2. Let h(n) = o*r(n) - 2*u(n). Find the first derivative of h(c) wrt c.
-6*c**2
Let l = 4 - 0. Suppose -4 - 8 = -l*b. What is the derivative of 2*j**3 + 3 - j**3 + 0*j**b wrt j?
3*j**2
Let z(l) = 10*l**3 - 17*l**2 + 31*l + 13. Let m(u) = -5*u**3 + 8*u**2 - 15*u - 6. Let b(r) = -9*m(r) - 4*z(r). Find the second derivative of b(t) wrt t.
30*t - 8
Let f = -16 - -18. Find the second derivative of -30*c**4 + 3*c - f*c + 24*c**4 wrt c.
-72*c**2
Let y(n) = -n**2 - n. Let d(p) = -31*p**3 - 4*p**2 - 4*p - 27. Let q(m) = d(m) - 4*y(m). Differentiate q(g) wrt g.
-93*g**2
Let o be (2 + -10)/(3 + -5). Suppose -3*j - 3 = y, -o*j - 2*y = -j + 6. Find the third derivative of 6*c**4 + j*c**2 - 9*c**4 - 3*c**2 wrt c.
-72*c
Suppose 3*f - 12 = -3. Suppose 0 = -2*i - f*y + 13, -2*y + 14 = 4*i - 0*i. Find the third derivative of -3*n + 3*n - 3*n**i + 0*n**2 - 4*n**3 wrt n.
-24
Let f(v) be the second derivative of -v**9/168 + v**5/60 + v**2/2 + v. Let r(t) be the first derivative of f(t). What is the third derivative of r(g) wrt g?
-360*g**3
Let z(p) be the first derivative of p**5 - 7*p**2/2 - 6. What is the second derivative of z(x) wrt x?
60*x**2
Let t(s) be the second derivative of 0*s**5 + 0 + 0*s**2 + 1/30*s**6 - 1/2*s**3 + 3*s + 0*s**4. Find the second derivative of t(a) wrt a.
12*a**2
Let f(k) be the third derivative of -k**8/28 + 11*k**4/24 - k**2. Find the second derivative of f(j) wrt j.
-240*j**3
What is the second derivative of 7*x + 0*x - 3*x - 15*x**5 + 12*x wrt x?
-300*x**3
Let g(t) = 2*t**2 + 6*t - 3. Suppose -2*j + 4 - 2 = 0. Let k(o) = o**2 + o. Let r(i) = j*g(i) - 6*k(i). Find the first derivative of r(v) wrt v.
-8*v
Let o(v) be the second derivative of -2*v**6/15 - v**4/12 - v**3/3 + 3*v**2 + 2*v - 11. What is the second derivative of o(u) wrt u?
-48*u**2 - 2
Let v = 2 + 6. Find the third derivative of r**4 - 4*r**2 - r**4 + r**4 + v*r**2 wrt r.
24*r
Differentiate 14*n - 5*n - 9 - 6*n wrt n.
3
Let s(a) be the first derivative of -a**7/14 - a**3/6 + a + 3. Let d(b) be the first derivative of s(b). What is the second derivative of d(i) wrt i?
-60*i**3
Find the third derivative of -24*r**2 - r**3 - 10*r**4 + 6*r**3 - 7*r**3 wrt r.
-240*r - 12
Let n(a) be the third derivative of a**7/70 + 3*a**5/20 + 12*a**2. Find the third derivative of n(i) wrt i.
72*i
Let i be (-8 - -5)*1/3. Let r(x) = x**4 + x**3 + x**2 - x. Let t(h) = 9*h**4 + h**3 + h**2 - h + 5. Let l(q) = i*t(q) + r(q). Differentiate l(c) wrt c.
-32*c**3
Suppose -4*z + 15 = a - z, -5*a + 143 = -2*z. Find the third derivative of a - o**2 - 4*o**5 - 27 - o**2 wrt o.
-240*o**2
Find the second derivative of -12*o - 20*o**4 + 38*o**4 - 12*o + 23*o**4 wrt o.
492*o**2
Let i(j) be the first derivative of 2*j**5/5 + j**2/2 - 11*j + 3. What is the first derivative of i(o) wrt o?
8*o**3 + 1
Suppose 2*u + 2 = -2, 20 = 5*t - 5*u. Suppose 0*b = j + b - 5, b = t*j - 7. What is the derivative of -5 + 4 + 2*s**4 - 4*s**j wrt s?
-8*s**3
Let o(g) = -2*g**5 - 13*g**2 - 5. Let s(q) = q**5 + 7*q**2 + 3. Let k = 13 + -18. Let d(r) = k*s(r) - 3*o(r). What is the third derivative of d(i) wrt i?
60*i**2
Suppose -4*q + 0*q = -4. Suppose w - 2*v - 14 = -2*w, -3*w + 13 = -v. What is the first derivative of 2 - w + q + 2*y wrt y?
2
Let a(b) be the second derivative of -1/2*b**3 - 3*b + 1/2*b**2 + 0. Find the first derivative of a(h) wrt h.
-3
Let r(j) = -57*j**3 + 8*j. Let w(s) = 19*s**3 - 3*s. Let h(o) = 4*r(o) + 14*w(o). What is the second derivative of h(i) wrt i?
228*i
Let v(x) be the first derivative of -x**5 - x**2/2 - 1. Find the second derivative of v(w) wrt w.
-60*w**2
Let k(m) be the third derivative of -31*m**4/24 + 10*m**3/3 + 16*m**2. Find the first derivative of k(r) wrt r.
-31
Find the first derivative of 20*c**3 - 37*c**3 + 20*c**3 + 10 wrt c.
9*c**2
Let u = -4 + 6. Let a(b) = b**2 + 4*b + 5. Let j be a(-4). What is the third derivative of -t + 3*t**u + t - t**5 + 2*t**j wrt t?
60*t**2
Let a(o) = -o + 2. Let f be a(-5). Let z = f + -5. Find the third derivative of -3*s**5 - 3*s**2 - 2 + s**z + 2 wrt s.
-180*s**2
Find the third derivative of -p**5 - 9*p**2 - p**5 + 0*p**2 - 5*p**2 wrt p.
-120*p**2
Let w be (-2)/11 - (-46)/11. Find the second derivative of -2*s - w*s**5 + 3*s + 3*s**5 wrt s.
-20*s**3
Let y(b) be the first derivative of 7*b**5/5 - 5*b**3/3 + 1. What is the third derivative of y(q) wrt q?
168*q
Let g(v) be the first derivative of v**9/3024 - v**5/60 - 2*v**3/3 + 4. Let f(k) be the third derivative of g(k). Find the second derivative of f(b) wrt b.
20*b**3
Let f(y) be the third derivative of -5/24*y**4 + 0 - 7/60*y**5 + 0*y**3 + 0*y + 7*y**2. What is the second derivative of f(o) wrt o?
-14
Let l(p) = -p - 2. Let c(a) = -29*a + 10. Let d(i) = c(i) + 4*l(i). Find the first derivative of d(z) wrt z.
-33
Let y(r) = -21*r**4 + 25*r**2 + 5*r - 5. Let w(u) = -64*u**4 + 74*u**2 + 14*u - 14. Let b(z) = 5*w(z) - 14*y(z). Find the third derivative of b(j) wrt j.
-624*j
Let a(u) be the second derivative of -13*u**5/10 + 9*u**2/2 + 9*u. Differentiate a(p) wrt p.
-78*p**2
Suppose 9 = -3*t + 3. Let i be (-54)/(-12) - 1/t. Find the second derivative of z**i + 3*z - 3*z**5 - z wrt z.
-40*z**3
Let x(u) be the third derivative of 0*u + 0*u**6 + 0*u**3 + 1/56*u**8 + 1/60*u**5 + 0*u**7 + 0*u**4 + 6*u**2 + 0. What is the third derivative of x(t) wrt t?
360*t**2
Let n(h) be the first derivative of 2*h**4 + 5*h**2/2 + 19. Find the second derivative of n(m) wrt m.
48*m
Let i = -1 - -4. Let v(y) = 2*y**2 - 4*y + 3. Let q(r) = 3*r**2 - 7*r + 5. Let j(d) = i*q(d) - 5*v(d). What is the second derivative of j(g) wrt g?
-2
Let d(y) = 11*y**3 + 7*y - 8. Let z(q) = 5*q**3 + 3*q - 4. Let c(h) = -3*d(h) + 7*z(h). What is the derivative of c(l) wrt l?
6*l**2
Suppose 5*y = 2*y - 12. Let n(j) = -j**3 + 4*j**2 - j + 4. Let i(f) = -f + 3 + f + 3*f**2. Let u(o) = y*i(o) + 3*n(o). Find the second derivative of u(a) wrt a.
-18*a
Let i(v) = 2*v**3 - 2*v**2 - 4*v + 2. Let n be i(3). What is the second derivative of -3*s - s**5 - n*s**4 + 26*s**4 wrt s?
-20*s**3
Let r be -3*1/(-3) - 0. Suppose 3*m + 3*z = z - r, 2*m - 6 = 2*z. Find the first derivative of m + 2 + 0 + 2*s wrt s.
2
Let h = 17 - 12. Let t = 7 - h. Find the third derivative of -u**2 - u**t + 6*u**5 - u**5 - 2*u**5 wrt u.
180*u**2
Let u(p) be the second derivative of 17*p**5/10 - 5*p**4/4 + 13*p. Find the third derivative of u(s) wrt s.
204
Differentiate -6*t + 14*t**2 - 4 + 6*t - 15 wrt t.
28*t
Let h(q) = 2*q**3 - 2*q**2. Suppose -2*m - 3 = 3. Let r(g) = -g**3 + g**2. Let x(p) = m*r(p) - h(p). What is the third derivative of x(s) wrt s?
6
Let u be 2*(-9)/(-3) - -2. Suppose b - u = -3*b. Find the third derivative of 6*n**3 - 2*n**b + 6*n**3 - 14*n**3 wrt n.
-12
Let t(v) be the third derivative of 1/3*v**4 + 0*v**3 + 0*v**5 + v**2 + 0*v - 1/24*v**6 + 0. What is the second derivative of t(g) wrt g?
-30*g
Let p(b) = 4*b + 3. Let s be p(3). Suppose 0 = -3*r - 2*r + s. Differentiate -o**r + 2*o**4 + 1 + o**3 wrt o.
8*o**3
Let g(k) = -5*k**3 - 3*k**2. Let n(y) = -15*y**3 - 9*y**2. Let v(s) = -17*g(s) + 6*n(s). What is the third derivative of v(o) wrt o?
-30
What is the third derivative of -8*f**5 - 15*f**2 - 8*f**2 + 27*f**2 wrt f?
-480*f**2
Let v be (-2)/(-7) - 12/42. Suppose q - 6*q + 15 = v. Find the second derivative of z - 3*z**5 - q*z - 3*z**2 + 3*z**2 wrt z.
-60*z**3
Let y be (-3)/1 + (4 - -2). Find the third derivative of -3*x**2 + 5*x**6 + 0*x**y + 0*x**3 + 0*x**2 wrt x.
600*x**3
Let l(x) = 9*x**3 + 4*x**2 - 4*x - 1. Let q(y) = y**3 + y**2 - y - 1. Let o(a) = -l(a) + 4*q(a). What is the derivative of o(d) wrt d?
-15*d**2
Let s = 7 + 7. Suppose 0 = -o - o + s. What is the second derivative of -2*w**5 + 9*w - o*w + 5*w**5 wrt w?
60*w**3
Let q = 8 - 13. Let s(k) = 23*k + 17. Let h(o) = -15*o - 11. Let v(y) = q*s(y) - 8*h(y). What is the first derivative of v(n) wrt n?
5
Let v(w) be the second derivative of w**5/20 - 3*w**2 + 4*w. What is the derivative of v(i) wrt i?
3*i**2
What is the third derivative of 92*b**2 - 12*b**4 - 78*b**2 + 3*b**4 wrt b?
-216*b
Let x = 14 + -11. What is the third derivative of -2*o**x - o**2 + 2*o**3 - 3*o**3 wrt o?
-18
Let n(m) be the third derivative of -m**9/84 - 2*m**5/15 - 5*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
t u(a) = -a**2 - 12*a - 11. Determine u(s).
0
Suppose -7*x - 41 = 8. Let r(b) = -9 + 2*b - 11*b - 4*b. Let l(d) = -6*d - 5. Let c(s) = -9*l(s) + 4*r(s). What is c(x)?
-5
Let l(b) = -23*b - 2. Let u(c) = -181*c - 17. Let t(r) = 24*l(r) - 3*u(r). Give t(4).
-33
Let s(n) = -n**2 + 7*n - 2. Suppose 26*y = 18*y + 4952. Let k = -612 + y. Give s(k).
-2
Let f(g) = 5*g - 5. Suppose -4*c + 4*z = -24, 20 = 24*c - 22*c + 2*z. Give f(c).
35
Let a(w) = 6*w - 1. Let u(r) = -r - 1. Let d = -153 - -149. Let f be (7 + (d - 1))*(-2)/4. Let v(t) = f*a(t) + u(t). Give v(2).
-14
Suppose 5*p + s = 67, 5*p = 9*p + s - 55. Let y(c) = -c**3 + 13*c**2 - 11*c + 9. Calculate y(p).
21
Let y(m) = 11*m**2 + 11*m - 5. Let s = 26 + -24. Let h(b) = 0*b**2 + b**s + 4*b - 2 + 0*b**2 + 3*b**2. Let k(j) = 17*h(j) - 6*y(j). What is k(-3)?
8
Let a(w) be the first derivative of -w**4/4 - w**3 - w**2/2 - 3*w + 1. Let p(d) = -d**3 + 252*d**2 + 9404*d - 35. Let u be p(-33). Give a(u).
-5
Let s be (1 - (16 + -8)) + -25 + (0 - -4). Let m(l) = 2*l + 73. Determine m(s).
17
Let k(t) = 6*t - 202. Suppose 0 = v + h - 37, -384*v - 5*h = -388*v + 139. What is k(v)?
14
Let p(w) = 2*w**3 - w**2 + 8*w + 10 + 0 + 20*w**2 - w**3 - 9*w**2. Let u be (-3)/(52/12 - 4). Calculate p(u).
19
Suppose 0 = -5*x - 4*a - 8 - 9, x - 3*a - 27 = 0. Let l(w) = 5*w**3 - w**2 - w - 5. What is l(x)?
118
Let x = -39481 - -39487. Let f(s) be the third derivative of 37*s**2 + 1/60*s**x + 0*s - 1/24*s**4 - 1/3*s**3 + 0 + 1/15*s**5. Determine f(-3).
-17
Let n(b) = -279*b - 14 + 527*b - 249*b - b**2. Calculate n(-5).
-34
Suppose 16*b - 20*b - 16 = 0. Let d be (b - -5 - 0)*-3. Let h be (1 - d/(-6)*4)/1. Let i(z) = -3*z**3 + z. Determine i(h).
2
Let b(q) = 8*q**2 + 3*q + 133. Let l(f) = 7*f**2 + 3*f + 94. Let k(z) = 3*b(z) - 4*l(z). Calculate k(5).
-92
Let g(q) be the third derivative of 2/3*q**3 + 0 - 7/60*q**5 + 2*q**2 - 1/120*q**6 - 1/4*q**4 + 48*q. Calculate g(-6).
4
Let v(t) be the first derivative of 2*t + 1/2*t**2 - 1/4*t**4 + 7/3*t**3 + 36. Give v(7).
9
Let r(o) be the first derivative of o**3/3 + 11*o**2/2 + 20*o + 1289. Calculate r(-9).
2
Let i(g) = 12*g - 39*g + 6 + 8*g + 5*g + 13*g. Let r be ((-9)/(-3))/(-3) - (-1 - 10). What is i(r)?
-4
Let p(l) = 5*l - 25. Suppose w + 7*d + 22 = 0, 3*d - 6*d - 6 = w. What is p(w)?
5
Let d(f) = -2*f**3 - 35*f**2 + 22*f + 31. Let g be -21 - 0/1 - 2763/(-921). What is d(g)?
-41
Let t(u) = u**3 - 6*u - 5. Suppose 0 = -40*v + 25 - 145. Give t(v).
-14
Let q = -129 - -132. Let v(y) = -6*y + 5. Let i(k) = 5*k - 6. Let a(w) = -3*i(w) - 4*v(w). What is a(q)?
25
Let t(o) = -36*o + 1. Let s(n) = -249*n + 142. Let b(f) = -s(f) + 6*t(f). Calculate b(5).
29
Let n(g) = -3*g**2 + 2*g. Let q(l) = 23*l**2 - 10*l + 3. Let s(h) = 6*n(h) + q(h). Determine s(-3).
42
Let f(z) = 18*z + 6 + 31*z - 50*z + z**2 + 18*z. Calculate f(-16).
-10
Let t(g) be the third derivative of 5/24*g**4 + 0 + 5/6*g**3 + 1/60*g**5 + 0*g + 11*g**2. Let d = 37 - 41. Determine t(d).
1
Let q(n) be the first derivative of n**5/120 - n**4/24 - 2*n**3 - 4. Let p(k) be the third derivative of q(k). Let x be (-100)/(-125)*(-15)/2. Determine p(x).
-7
Suppose 3*m - o + 6*o - 21 = 0, -2*m + 2*o = 2. Suppose m*c = 49 + 73. Let w = 63 - c. Let x(p) = -p**3 - p**2 + p + 2. Calculate x(w).
-8
Let i(b) = -3*b**2 + 5*b + 13. Let a(h) = -13*h**2 + 19*h + 58. Let z(v) = -2*a(v) + 9*i(v). Let s(o) = -o**2 - 4*o + 3. Let d be s(-4). Give z(d).
13
Let y(z) = 2*z + z**2 + 0*z - 5*z + 2 + 2. Let d be (-1 - (-46)/4)*868/1519. Calculate y(d).
22
Let s(v) be the third derivative of -1/12*v**4 + 0 + 0*v**3 - 50*v**2 + 0*v. Give s(-8).
16
Let s(f) = -f**2 + 8*f - 8. Let u be (-6)/33 - -2*(-218)/22. Let c be (-8)/((-96)/u)*-3. Give s(c).
7
Let x(t) be the second derivative of -t**4/12 + 11*t**3/6 + 31*t**2/2 - 39*t - 9. Give x(13).
5
Let f be 340/120 + (5/6)/5. Let s be f/1 + (3 - (8 - 2)). Suppose -l = d - s - 12, 5 = d. Let u(h) = h**2 - 6*h + 8. Calculate u(l).
15
Let g(x) = -4*x - x**2 - 12 + 5 + 6. Let v be g(-1). Let u(l) = -4 - 5*l**2 - 14*l**v + 17*l**2 + l. Calculate u(3).
-19
Let s(x) = -2. Let o(q) = 2*q + 21. Let u(k) = o(k) + 6*s(k). Let p(j) = -2*j - 11. Let m(l) = -2*p(l) - 3*u(l). Calculate m(-4).
3
Let w(h) be the second derivative of -5*h**4/12 + 29*h**3/6 + h**2 - 11595*h. What is w(6)?
-4
Let y be (-518)/(-2184) - (-2)/(-13). Let x(c) be the second derivative of 0*c**3 + 0*c**2 + 0 - 1/20*c**5 + y*c**4 + 2*c. Give x(0).
0
Let n(c) = -5*c**3 + 546*c**2 - 4*c - 45. Let g(i) = -4*i**3 + 456*i**2 - 4*i - 40. Let j(y) = 6*g(y) - 5*n(y). Let u = -13 - -7. Determine j(u).
9
Let z(u) = -166 + 89 + 91 - 3*u**2 + 40*u. Calculate z(14).
-14
Let s(l) = -45*l + 43. Let v(o) = 29*o - 28. Let a(t) = -5*s(t) - 8*v(t). Give a(-4).
37
Let j(z) = -43*z + 213. Suppose 0 = -n + 2*d - 1, -5*n - 4*d - 21 + 58 = 0. What is j(n)?
-2
Let i(s) = s**2 - 11*s - 5. Let z be 4 - ((-42)/(-4))/((-21)/798). Let u = z + -390. Give i(u).
21
Let o(x) = -2*x**2 + 308*x - 34 - 300*x + 3*x**2. Determine o(-13).
31
Suppose 0*c - 16 = 4*c. Suppose 2*y - 12 - 2 = 0. Let a(z) = -1 - 2 - 3 - 2*z + y + 1. Give a(c).
10
Let r(d) = d**3 + 23*d**2 - d - 27. Let z = 14735 - 14758. Calculate r(z).
-4
Let d be 2*(2 + 5) - -2. Let u(q) = q**3 - 36*q + 18*q - 2*q**3 + 3 + d*q - 4*q**2. Give u(-4).
11
Let b(y) = -y**2 + 5*y - 3. Let n(m) be the first derivative of m**4/4 + 3*m**3 + 2*m**2 - 26*m - 88. Let h be n(-8). Calculate b(h).
-9
Let b(x) be the second derivative of x**3/6 - 13*x**2/2 + x + 37. What is b(-15)?
-28
Let g(a) be the third derivative of 7*a**5/20 + a**4/8 + a**3/6 - 254*a**2 - 6*a - 1. Determine g(-2).
79
Suppose -5*h = -4 - 16. Suppose 4*u + 32 = h. Let z(l) = 7*l**2 - 96*l - 6. Let p(q) = 51*q**2 - 706*q - 42. Let o(g) = 3*p(g) - 22*z(g). Give o(u).
-1
Let c be (-6)/2 - (0 - -15)*7/(-21). Let g(s) be the first derivative of -2*s**c - s - 2/3*s**3 + 20. Calculate g(-4).
-17
Suppose 0 = -n + 147 + 51. Let i be (-36)/n - (-68)/11. Let v be -4 - (1 - i)/(-5). Let y(l) = -l - 3. Determine y(v).
2
Let v(j) = j**2 - 11*j - 147. Let d be v(19). Let w(p) = -4 - d*p - 78*p**2 + 156*p**2 - 79*p**2 + p. What is w(-4)?
-4
Let w(s) = -8*s**2 + 18*s + 55. Let p(d) = -d**2 + 4*d + 6. Let o(n) = -7*p(n) + w(n). Give o(2).
-11
Let t be (10/(-40))/(5/40*-1). Let d(q) = -35185*q**2 + 20*q + 2*q**3 + 35165*q**t - 20 - q**3. Determine d(19).
-1
Let s(m) = m**3 - 5*m**2 + 2*m + 5. Suppose -15*q - 55 = -20*q. Suppose -3*p = -q - 1. Determine s(p).
-3
Suppose -r = -d, -7 = -3*r - 4*d + 14. Let a(b) = -b - 2. Let u(n) = -2*n - 6. Let l(g) = r*a(g) - u(g). Let i = 0 + 0. What is l(i)?
0
Let c(g) = -4*g + 3. Let b(o) = 27*o - 1945. Let q be b(72). Give c(q).
7
Suppose 0*d = -56*d + 672. Let t(i) be the first derivative of -i**4/4 + 4*i**3 - i**2 + 13*i - 2. Give t(d).
-11
Let q(u) = -u**2 - 8*u + 6. Let s = -14 + 35. Let m be 7/2*10/(20/4). Suppose 4*b = m*b + s. Give q(b).
13
Let r(g) be the first derivative of -7*g**2/2 + 45*g - 4865. Give r(7).
-4
Let h be 2/(-10) - (-224)/20. Let j(p) be the first derivative of p**3/3 - 13*p**2/2 + 12*p - 2309. Determine j(h).
-10
Let f(u) = -u**2 + 3*u - 12. Let g(c) = -c**2 + 4*c - 9. Suppose 37 = 8*i - 3. Let x(o) = i*g(o) - 4*f(o). Determine x(6).
15
Let f(p) = -2*p**2 - p - 1. Suppose -36*l + 33*l + 10 = w, -w = -4*l + 4. Calculate f(l).
-11
Let p(i) = i**3 - 9*i**2 + 7*i + 4. Suppose 6 = -w + 15. Let n be 22/(-5)*(w - 4). Let t be (4/(-5))/(n/220). What is p(t)?
-4
Let p(s) be the second derivative of 5*s**3/6 - 3*s**2/2 + 562*s - 2. Let r be 2 - 0/1 - -1. Let t = r - 7. What is p(t)?
-23
Let r(n) = 1481*n - n**2 - 3 - 1478*n + 0. Let c be ((-16)/12)/(2/(-3)). Determine r(c).
-1
Let t be ((-3)/(-6))/(1/116). Let v = -56 + t. Let o(q) = -q**2 + q - 1. Let u(h) = 5*h**2 - 2*h + 5. Let s(y) = -3*o(y) - u(y). Give s(v).
-12
Suppose 4*t - 22 = -a, 15*a + 1 = 18*a - t. Suppose -4*c + 35 = -13. Let y be c/a - 11 - (-2)/(-2). Let x(n) = n**2 + 7*n + 9. Give x(y).
3
Let m(c) = -355*c**2 - 7456*c - 15. Let o be m(-21). Let t(v) = 2*v**3 + 9*v**2 - 3*v + 12. Let b(z) = z**3 + z**2. Let x(s) = -3*b(s) + t(s). Give x(o).
-6
Let a(t) = t**3 + 6*t**2 + 4*t - 4. Suppose -877*g = -626*g + 1255. What is a(g)?
1
Let z(k) = k**3 - 5*k**2 + 4*k - 5. Let h be z(5). Let g(q
|
{
"pile_set_name": "DM Mathematics"
}
|
101/14260.
28520
Find the common denominator of -2/1515 and -43/137610.
13898610
Calculate the common denominator of 15/4 and -99/337462.
674924
Find the common denominator of 23/19216 and -107/7206.
57648
Calculate the common denominator of 73/7347 and -113/71574.
2218794
Calculate the lowest common multiple of 20 and 77500.
77500
Find the common denominator of 61/95600 and 53/48.
286800
Calculate the lowest common multiple of 1269765 and 78813.
11427885
Calculate the common denominator of -155/156 and -14/117.
468
What is the least common multiple of 10265 and 52?
533780
Calculate the smallest common multiple of 26 and 92937.
185874
Calculate the smallest common multiple of 56772 and 36.
56772
What is the common denominator of -55/87 and 26/13891?
41673
What is the common denominator of -94/195 and 143/215940?
2807220
Calculate the common denominator of 5/71604 and 83/260.
358020
Find the common denominator of -35/9 and -47/6348.
19044
Calculate the common denominator of -53/501972 and 107/48.
2007888
What is the least common multiple of 17985 and 7194?
35970
What is the common denominator of 40/6891 and -115/13782?
13782
What is the common denominator of -109/104 and 34/15483?
123864
What is the lowest common multiple of 55040 and 1720?
55040
Calculate the smallest common multiple of 38 and 8870.
168530
What is the smallest common multiple of 99 and 283836?
9366588
Find the common denominator of 67/90 and -181/18360.
18360
Calculate the common denominator of 26/3 and 97/88024.
264072
What is the smallest common multiple of 2369 and 618?
14214
Calculate the common denominator of -47/7 and -51/160696.
1124872
What is the least common multiple of 492 and 666?
54612
What is the lowest common multiple of 187 and 822415?
13981055
Calculate the smallest common multiple of 26960 and 49202.
1968080
Find the common denominator of -53/78 and -13/16830.
218790
What is the common denominator of 101/37458 and 127/108?
224748
What is the common denominator of -71/574 and -49/11?
6314
Calculate the common denominator of -139/12672 and -103/4752.
38016
Calculate the common denominator of 157/1066450 and -143/6.
3199350
What is the common denominator of 129/3400 and -25/44?
37400
What is the least common multiple of 140390 and 20?
280780
Find the common denominator of -49/9 and -34/22699.
204291
What is the common denominator of -157/762150 and 139/1524300?
1524300
Calculate the least common multiple of 49985 and 139958.
699790
Calculate the common denominator of -33/148 and 18/6031.
24124
What is the least common multiple of 29230 and 10730?
847670
What is the common denominator of 59/17470 and 137/42?
366870
Calculate the smallest common multiple of 130 and 65.
130
Calculate the least common multiple of 10725 and 11700.
128700
Calculate the smallest common multiple of 506 and 23943.
526746
Calculate the common denominator of 137/2016 and 85/108912.
4574304
Calculate the common denominator of 27/14 and -163/289800.
289800
Find the common denominator of -1/41788 and -27/620.
208940
Calculate the common denominator of -34/26837 and -35/3.
80511
Calculate the smallest common multiple of 2268 and 756.
2268
What is the lowest common multiple of 73692 and 6210?
1105380
What is the least common multiple of 906 and 1090?
493770
Find the common denominator of 29/45152 and 9/79016.
316064
Find the common denominator of -89/759078 and -49/4.
1518156
Calculate the least common multiple of 91 and 41353.
289471
Calculate the smallest common multiple of 3912 and 74328.
74328
Calculate the common denominator of 1/110436 and 11/1509292.
4527876
What is the lowest common multiple of 1307558 and 28?
2615116
Calculate the smallest common multiple of 450020 and 112505.
450020
Calculate the least common multiple of 5016 and 36696.
697224
What is the least common multiple of 78093 and 121478?
1093302
What is the smallest common multiple of 338 and 1703?
44278
What is the lowest common multiple of 1040 and 26416?
132080
Calculate the common denominator of 43/297 and -44/19467.
214137
What is the least common multiple of 182357 and 10?
1823570
Find the common denominator of 1/32760 and 61/1040.
65520
What is the least common multiple of 4448 and 3892?
31136
What is the common denominator of -10/237 and 49/1025894?
3077682
What is the least common multiple of 9634 and 16?
77072
Calculate the lowest common multiple of 6 and 389436.
389436
What is the lowest common multiple of 30 and 159549?
1595490
Find the common denominator of -1/3366 and 71/15246.
259182
What is the least common multiple of 3869 and 42559?
42559
What is the common denominator of -80/8463 and -85/33852?
33852
Find the common denominator of -29/56043 and -36/7.
392301
Calculate the common denominator of -47/17 and -67/490.
8330
What is the smallest common multiple of 343 and 735?
5145
Calculate the common denominator of -31/3827 and 1/5031.
447759
What is the least common multiple of 17798 and 720010?
7920110
Find the common denominator of 101/3825 and -23/18.
7650
Calculate the least common multiple of 18259 and 40.
730360
Calculate the least common multiple of 1720 and 430.
1720
What is the least common multiple of 10 and 64646?
323230
What is the least common multiple of 7205 and 12445?
136895
What is the common denominator of 59/49420 and -61/24710?
49420
Find the common denominator of 97/2230 and -151/18732.
93660
Find the common denominator of 33/63593 and -5/133.
445151
Calculate the common denominator of -75/37318 and -127/88134.
4142298
What is the lowest common multiple of 380 and 486400?
486400
What is the smallest common multiple of 17060 and 189366?
1893660
Calculate the smallest common multiple of 660 and 260.
8580
Calculate the lowest common multiple of 288 and 113792.
1024128
Calculate the common denominator of -29/540788 and -65/44.
5948668
Find the common denominator of -65/381676 and 35/381676.
381676
What is the common denominator of 107/820 and -129/32390?
64780
Calculate the smallest common multiple of 268272 and 50301.
804816
What is the lowest common multiple of 1702811 and 1548010?
17028110
Calculate the common denominator of 35/558 and -89/234.
7254
What is the common denominator of -109/2020 and -67/140?
14140
Find the common denominator of -43/14168 and 29/1048432.
1048432
Calculate the lowest common multiple of 2990 and 260.
5980
What is the smallest common multiple of 6405 and 549?
19215
Calculate the least common multiple of 7076 and 232.
14152
What is the lowest common multiple of 324940 and 169855?
7473620
What is the common denominator of 62/13255 and -61/79530?
79530
Calculate the common denominator of -22 and -51/198634.
198634
What is the least common multiple of 1518 and 1206?
305118
What is the smallest common multiple of 186 and 185814?
185814
What is the lowest common multiple of 264732 and 25455?
1323660
What is the common denominator of -83/768 and -127/355104?
2840832
Calculate the smallest common multiple of 233388 and 47542.
2567268
What is the common denominator of 77/2844 and 43/437028?
1311084
What is the common denominator of 20/20993 and 25/41986?
41986
Find the common denominator of -85/184 and 19/3703.
29624
What is the common denominator of -56/23859 and -65/2169?
23859
What is the lowest common multiple of 221 and 32240?
548080
Find the common denominator of -14/9 and -4/2607.
7821
What is the least common multiple of 10 and 5280?
5280
What is the lowest common multiple of 912250 and 11125?
912250
Calculate the smallest common multiple of 252060 and 93.
7813860
Calculate the common denominator of -107/226460 and -81/104.
452920
Find the common denominator of 26/9 and -21/2969.
26721
Find the common denominator of -37/822 and 83/1254.
171798
What is the smallest common multiple of 8570 and 16283?
162830
Find the common denominator of -71/15104 and 97/235056.
3760896
What is the smallest common multiple of 62725 and 55198?
1379950
Find the common denominator of -25/5239 and -10/115661.
1503593
Calculate the common denominator of 29/38724 and 119/324.
1045548
Calculate the smallest common multiple of 191856 and 95928.
191856
Calculate the common denominator of -1/108900 and 79/176220.
9692100
Calculate the common denominator of -3/21788 and -23/40.
217880
What
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 r.
2/15
Four letters picked without replacement from tttmtmtttttmttmmtttt. What is prob of picking 4 t?
91/323
Two letters picked without replacement from {x: 6, t: 6}. Give prob of picking 2 t.
5/22
Calculate prob of picking 1 q and 1 a when two letters picked without replacement from kbkdqkbkbakbkdbabkba.
3/190
What is prob of picking 1 f, 1 j, and 1 m when three letters picked without replacement from rrfmmnnmmrrmrerfj?
1/68
What is prob of picking 1 b and 1 q when two letters picked without replacement from {q: 10, b: 2}?
10/33
Two letters picked without replacement from {n: 5, l: 13}. What is prob of picking 2 n?
10/153
Two letters picked without replacement from {y: 1, v: 6, u: 9, k: 2}. What is prob of picking 2 k?
1/153
Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {o: 4, i: 3, j: 2, a: 2, w: 2, u: 1}.
6/91
Two letters picked without replacement from {x: 1, u: 4, o: 6, e: 3}. What is prob of picking 1 u and 1 e?
12/91
Two letters picked without replacement from ttvkjvjqqnkntqkt. What is prob of picking 1 n and 1 j?
1/30
Two letters picked without replacement from zztttwttttetes. Give prob of picking 1 z and 1 e.
4/91
Four letters picked without replacement from {k: 2, p: 4}. What is prob of picking 4 p?
1/15
Calculate prob of picking 2 e and 1 h when three letters picked without replacement from eeeh.
3/4
What is prob of picking 3 t when three letters picked without replacement from wgggtwgbtggbggtbgg?
1/816
Calculate prob of picking 1 l, 1 d, and 1 f when three letters picked without replacement from lzfzqdc.
1/35
What is prob of picking 1 d and 1 k when two letters picked without replacement from kvkkvvddkk?
2/9
What is prob of picking 2 l and 1 r when three letters picked without replacement from nrrnrlrrlrrnrrr?
2/91
What is prob of picking 2 o when two letters picked without replacement from {z: 2, f: 2, o: 8}?
14/33
What is prob of picking 1 s and 1 m when two letters picked without replacement from ssssssysmsssss?
12/91
Two letters picked without replacement from bkokeccbpbcb. What is prob of picking 1 k and 1 o?
1/33
Four letters picked without replacement from {g: 1, c: 1, w: 16}. What is prob of picking 4 w?
91/153
What is prob of picking 4 e when four letters picked without replacement from ememmeememem?
1/33
What is prob of picking 2 r when two letters picked without replacement from {o: 1, v: 6, g: 2, r: 2, l: 1}?
1/66
Four letters picked without replacement from xmrxmmxrxxrr. Give prob of picking 2 x, 1 m, and 1 r.
8/33
What is prob of picking 2 o and 1 e when three letters picked without replacement from eeooooooooeo?
27/55
Two letters picked without replacement from {z: 1, g: 1, w: 1, x: 4, s: 2}. Give prob of picking 1 w and 1 x.
1/9
Two letters picked without replacement from rvrwjjvvwjrvw. Give prob of picking 2 r.
1/26
Two letters picked without replacement from {c: 6, d: 4, y: 3, n: 1}. Give prob of picking 2 c.
15/91
What is prob of picking 2 b, 1 w, and 1 u when four letters picked without replacement from {e: 1, w: 4, u: 1, x: 1, b: 2, t: 3}?
4/495
What is prob of picking 1 u and 2 z when three letters picked without replacement from zuz?
1
What is prob of picking 1 k and 2 a when three letters picked without replacement from {f: 3, a: 7, k: 2}?
21/110
Calculate prob of picking 1 r, 1 f, and 1 p when three letters picked without replacement from {f: 14, p: 1, r: 1}.
1/40
Calculate prob of picking 1 d and 1 x when two letters picked without replacement from rdrixadxrtirxrr.
2/35
What is prob of picking 2 d and 2 c when four letters picked without replacement from {c: 4, n: 5, d: 6}?
6/91
Calculate prob of picking 1 u and 3 f when four letters picked without replacement from uuuuuufuuuffuuu.
4/455
Two letters picked without replacement from {n: 5, x: 6, i: 3, p: 2, u: 2}. Give prob of picking 1 n and 1 u.
10/153
Calculate prob of picking 2 j, 1 v, and 1 m when four letters picked without replacement from {v: 3, j: 2, m: 7}.
7/165
Two letters picked without replacement from {g: 1, k: 4, t: 1, b: 1, m: 1}. What is prob of picking 1 b and 1 k?
1/7
Calculate prob of picking 2 w when two letters picked without replacement from {e: 5, t: 2, q: 3, w: 2, z: 6}.
1/153
What is prob of picking 2 d when two letters picked without replacement from ddbddwdzwoozbdd?
1/5
What is prob of picking 1 m and 1 c when two letters picked without replacement from mjmjmjcjcmjmcjjjm?
9/68
Three letters picked without replacement from {f: 2, h: 2, p: 2, a: 2, v: 5}. Give prob of picking 1 f, 1 p, and 1 h.
4/143
What is prob of picking 1 p and 3 j when four letters picked without replacement from jpjpjhjhjjphj?
21/143
What is prob of picking 1 b and 2 i when three letters picked without replacement from {f: 9, y: 1, i: 8, b: 1}?
28/969
Two letters picked without replacement from nnncckqncfnnkq. Give prob of picking 1 f and 1 k.
2/91
Calculate prob of picking 2 u and 2 k when four letters picked without replacement from {l: 3, u: 3, e: 3, f: 7, k: 3, m: 1}.
3/1615
Two letters picked without replacement from {o: 7, f: 5, b: 1}. What is prob of picking 1 o and 1 b?
7/78
What is prob of picking 1 o and 1 l when two letters picked without replacement from {q: 1, u: 1, j: 1, o: 1, a: 1, l: 2}?
2/21
Calculate prob of picking 2 y when two letters picked without replacement from {x: 2, y: 4, q: 1, i: 6, t: 3}.
1/20
Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {o: 1, s: 1, a: 2, h: 4, c: 7, i: 3}.
1/51
Three letters picked without replacement from ylgyyylyyyyhyhyhygsy. Give prob of picking 2 y and 1 s.
11/190
Calculate prob of picking 1 i and 3 o when four letters picked without replacement from {o: 5, i: 7, b: 2}.
10/143
What is prob of picking 2 n when two letters picked without replacement from {n: 9}?
1
What is prob of picking 2 e and 1 i when three letters picked without replacement from siitiigsiitgseeyy?
3/340
Two letters picked without replacement from bbbrbbbbrrbrbr. What is prob of picking 2 r?
10/91
Two letters picked without replacement from xllllxo. What is prob of picking 2 x?
1/21
Calculate prob of picking 1 y, 2 s, and 1 f when four letters picked without replacement from {y: 1, s: 4, e: 1, f: 5, u: 2, c: 7}.
2/323
Three letters picked without replacement from {l: 1, m: 3, j: 5, s: 8, x: 1, h: 2}. What is prob of picking 1 h, 1 j, and 1 m?
1/38
What is prob of picking 2 e and 1 r when three letters picked without replacement from rrreererrrrerrerrre?
65/323
What is prob of picking 1 o and 2 w when three letters picked without replacement from wwaokowwoo?
1/5
Calculate prob of picking 2 p when two letters picked without replacement from tttptggywrpty.
1/78
Calculate prob of picking 1 i and 1 h when two letters picked without replacement from hiiiiijihhbit.
7/26
Four letters picked without replacement from twvvjj. Give prob of picking 2 v, 1 t, and 1 j.
2/15
What is prob of picking 2 q when two letters picked without replacement from vvqvqv?
1/15
Calculate prob of picking 2 e and 1 t when three letters picked without replacement from thhhehe.
1/35
Two letters picked without replacement from {g: 5, f: 3, x: 3}. Give prob of picking 1 g and 1 x.
3/11
Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {f: 5, j: 2, g: 2, y: 4, w: 1, r: 1}.
2/21
Four letters picked without replacement from {w: 3, e: 2, u: 2, o: 3, t: 5}. Give prob of picking 3 o and 1 u.
2/1365
Two letters picked without replacement from {h: 1, f: 6, m: 10}. What is prob of picking 1 m and 1 h?
5/68
Two letters picked without replacement from {l: 5, j: 5, b: 3}. Give prob of picking 2 j.
5/39
Four letters picked without replacement from rkkkrrr. What is prob of picking 1 k and 3 r?
12/35
What is prob of picking 2 u when two letters picked without replacement from {c: 8, u: 2}?
1/45
What is prob of picking 4 z when four letters picked without replacement from uzuuuzuzuzu?
1/330
Three letters picked without replacement from aoaayyttctsaaassaa. Give prob of picking 2 s and 1 o.
1/272
Two letters picked without replacement from {b: 1, n: 1, l: 1, i: 2, o: 2, s: 1}. What is prob of picking 1 l and 1 i?
1/14
Two letters picked without replacement from {m:
|
{
"pile_set_name": "DM Mathematics"
}
|
48 = x. Calculate the remainder when y is divided by 9.
8
Let g(t) = t**3 - t**2 + t - 2. Let j be g(2). Let m(c) = 5*c - 1. What is the remainder when 52 is divided by m(j)?
14
Let l = -8 + 18. Let x = l + -7. Calculate the remainder when x is divided by 3.
0
Suppose -3*i + 342 + 225 = 0. What is the remainder when i is divided by 32?
29
Let i(n) = 2*n - 10. Let b be i(7). Suppose 0*d - b*d = -1168. Suppose -d = -6*m + 2*m. What is the remainder when m is divided by 25?
23
Suppose 0 = 3*q - 43 - 95. What is the remainder when q is divided by 12?
10
Let u = -161 + 168. What is the remainder when 14 is divided by u?
0
Let p = 0 + 2. Suppose -j - p*j = -18. Let n(t) = -t**3 - 2*t**2 + 7*t + 6. What is the remainder when n(-4) is divided by j?
4
Let o = 81 + -12. Let y = o + -18. What is the remainder when y is divided by 13?
12
Let f be (-2 + 2 - 2) + 7. Suppose 0 = -0*t + f*t - 45. What is the remainder when 24 is divided by t?
6
Suppose -3*y + 8*y + 70 = 0. What is the remainder when 5 is divided by (-8)/28 - 46/y?
2
Suppose -u - 86 = -4*s, -2*s + 5*u + 48 = 2*u. What is the remainder when 41 is divided by s?
20
Suppose -20*f + 51 = -169. What is the remainder when 4*(1 + (-26)/(-4)) is divided by f?
8
Let m(w) = 4*w - 3. Suppose 3*r - 19 = -v - 0*v, 16 = -v + 4*r. Suppose 37 = 2*a - a. What is the remainder when a is divided by m(v)?
11
Suppose 0*m - 4 = -2*m, 3*m = -2*v - 4. Let n be (v/(-3))/((-1)/3). Let l(c) = -3*c - 4. What is the remainder when 32 is divided by l(n)?
10
Suppose 1 = -2*u + 11. Suppose -5*s + u = -35. Suppose 3*y - 46 - s = 0. What is the remainder when y is divided by 5?
3
Suppose 0 = -4*w + 8. Suppose 4*j = -2*q + 114, -w*j + 42 = -q - q. Let d(a) = a + 3. Calculate the remainder when j is divided by d(11).
12
Suppose -3*d + 64 = d. Suppose -z + 4*z = 6. Suppose 5*h + 23 = -0*s + z*s, -5*s + h = -46. What is the remainder when d is divided by s?
7
Let q(r) = r**2 + r + 1. Let g(k) = 3*k. Let y(w) = g(w) + 3*q(w). Calculate the remainder when y(-4) is divided by 14.
13
Calculate the remainder when 17 is divided by ((-44)/12)/((-3)/9).
6
Let n(o) = -o**3 + 3*o**2 + 5*o + 2. Suppose -13 = 2*h - h + 3*v, v = -3*h + 1. Suppose -h*u + 16 + 16 = 0. What is the remainder when u is divided by n(4)?
4
Suppose 5*m - 2*c - 2*c = 156, c + 32 = m. Suppose g = -2*b + m, -3*g - b + 84 = g. What is the remainder when (8/12)/(1/87) is divided by g?
18
Let t(a) = 4*a**2 + 3*a + 3. Let r be t(-3). Calculate the remainder when (-198)/r*(1 - 6) is divided by 12.
9
Suppose -b + 4 = -0*b. Suppose 14 = x + o, 4 = b*x + o - 37. Let v(p) = p**3 - 11*p**2 - 11*p - 7. Calculate the remainder when x is divided by v(12).
4
Suppose 5*n + 4*d - 36 = -0*d, 0 = 5*n + 5*d - 40. Let z = 1 + n. What is the remainder when 8 is divided by z?
3
Suppose -136 = -2*d + 4*s, -3*d = -0*d + s - 204. Let j = d - 39. Calculate the remainder when 113 is divided by j.
26
Let g(d) = 2*d - 2. Let i be g(7). Let l = i + 27. Calculate the remainder when l is divided by 20.
19
Let n(t) = -t + 4. Let g be n(6). Let d = g - -2. Suppose d*r = -4*r + 56. What is the remainder when 26 is divided by r?
12
Let p = 7 - -17. Let z = -34 - -48. What is the remainder when p is divided by z?
10
Suppose 20 = l - 5*x, 2*l - 2*x - 8 = 3*l. Suppose l = -m - 4*k + 2, 4 = 2*m - 5*k. Calculate the remainder when 10 is divided by m - (-5)/((-5)/(-2)).
2
Let l(w) = 50*w**3 - w**2 + w - 1. What is the remainder when l(1) is divided by 13?
10
Let b(l) = 42*l**2 - l. Let q be 447/(-12) - (-2)/8. Let n = q + 52. What is the remainder when b(-1) is divided by n?
13
Suppose -3*i + 2 = -5*s, -i + s + 13 = i. Calculate the remainder when i is divided by 5.
4
Let p = -8 - -5. Let z(x) = x**2 + 4*x + 4. Calculate the remainder when p/(-1)*78/9 is divided by z(-5).
8
Suppose 2*j + 9 = 17. Let y be (3 - -1)*(-1)/1. Let w(h) = -5*h - 5. What is the remainder when w(y) is divided by j?
3
Let d(j) = j**3 - 15*j**2 - 15*j + 6. Calculate the remainder when (6 - 7)*41*-1 is divided by d(16).
19
Let k(b) = 2*b**2 + 9*b + 2. Let n be k(-6). Let d(j) = j**3 - 5*j**2 - 5*j. What is the remainder when (n/(-6))/(4/(-18)) is divided by d(6)?
3
Suppose -10*z + 6*z = 5*t - 434, -4*t = 5*z - 340. Calculate the remainder when t is divided by 23.
21
Let f = 1 - -6. Calculate the remainder when 27 is divided by f.
6
Let i(u) = 2*u - 9. Let x(g) be the third derivative of -g**6/120 - g**5/12 - g**4/24 - g**3/6 + 2*g**2. What is the remainder when i(8) is divided by x(-5)?
3
Let y(b) = -b**3 - 5*b**2 + 7*b + 8. Let k be y(-6). What is the remainder when 106/5 + k/(-10) is divided by 6?
3
Suppose -66 = 4*v - v. Let z = v - -59. Calculate the remainder when z is divided by 13.
11
Let o(v) = -8*v**2 + v - 1. Let n be o(1). Let g(w) = -2*w - 4. Let h(r) = -r**3 - 4*r**2 + 4*r. Calculate the remainder when g(n) is divided by h(-5).
2
Suppose 0*s - 4*s = -68. Let h(x) = 50*x - 1. Let r be 1 + 6/3 + -2. Calculate the remainder when h(r) is divided by s.
15
Suppose 20 = 6*z - 4*z. What is the remainder when 18 is divided by z?
8
Calculate the remainder when 50 is divided by (-4)/18 - (-833)/63.
11
Let f = 4 + 6. Let k(v) = f - v - 1 - v**3 + 2*v. Calculate the remainder when 25 is divided by k(0).
7
Let x(c) = c + 7. Calculate the remainder when x(12) is divided by 11.
8
Let w = 0 + 3. Let y(q) = -q**2 + 6*q - 3. What is the remainder when 21 is divided by y(w)?
3
Let p(n) = n**2 + 2*n + 4. Let h(r) = 5 + 0 + 5*r - 3 + r**2. Calculate the remainder when p(-2) is divided by h(-5).
0
Suppose 2*n = -3*r - 0*n + 222, 2*r - n = 141. Suppose 3*u - r = -3*o + 45, 9 = -3*u. Calculate the remainder when o is divided by 15.
12
Suppose -3*y + a - 5 = -58, -y - 5*a + 23 = 0. Suppose -8*i - 67 = -339. What is the remainder when i is divided by y?
16
Let w(g) = g**3 + 4*g**2 + 3*g + 3. Calculate the remainder when w(-3) is divided by 2.
1
Suppose -5*m - 107 = 313. Let v = 118 + m. Suppose 3*i + 4*g - 32 = 0, 11 = 2*i + 2*g - 11. What is the remainder when v is divided by i?
10
Suppose -2*y = -2*z - 0*z + 36, -3*z = -2*y - 57. Calculate the remainder when 39 is divided by z.
18
Let y = 79 + -48. Let h = 27 + 14. Let n = -25 + h. Calculate the remainder when y is divided by n.
15
Suppose 5*h - 123 = 3*p, p + 32 = 3*h - 41. Calculate the remainder when 94 is divided by h.
22
Suppose j - 2*y = 30, y - 69 = -3*j - 0*y. Suppose 3*s + 5*u + 9 = 35, j = 3*s + 3*u. What is the remainder when s is divided by 5?
2
Suppose s - c + 0 = 3, -2*s + 6 = 2*c. Suppose 0 = -h + 2*v - 3, h - 2*h = 5*v - 18. What is the remainder when s is divided by h?
0
Let y(q) = q**2 - 12. Calculate the remainder when y(9) is divided by 14.
13
What is the remainder when (2272/18 - -4) + (-2)/9 is divided by 44?
42
Let v(j) = -j**3 - 9*j**2 + 10*j + 9. Let x(c) = c**2 - c - 1. Let o(q) = v(q) + 5*x(q). Let p = 12 + -18. Calculate the remainder when o(p) is divided by 24.
22
Let g(x) = 6*x + 1. Let y(o) = -o - 2. Let n be y(-4). Let u = 74 + -37. Calculate the remainder when u is divided by g(n).
11
Suppose 40 = -9*q + 13*q. What is the remainder when 48 is divided by q?
8
Suppose -2*u + 55 = 3*z, 6*u - 2*u + 3*z = 125. Suppose d - 2*d = -u. Calculate the remainder when d*(-5)/((-50)/8) is divided by 15.
13
Let a be (0 + -1 + 2)/1. Let y = 36 - 23. Calculate the remainder when a/(2 + (-150)/76) is divided by y.
12
Let q be 0 + 2 + -2 + 12. Suppose 2*l = -5*a, 5*a = -4*l - 2 + q. What is the remainder when 9 is divided by l?
4
Let y(s) = -s**3 - s + 5. Let w(v) = -v**2 + v + 2. Let d be w(2). Suppose 56 = 4*k + 5*m, 5*m = 15 + 5. Calculate the remainder when k is divided by y(d).
4
Let f(d) = -10*d - 27. Suppose 0 = g + 3*g - 12. What is the remainder when f(-3) is divided by g?
0
Let l(j) = 30*j**2 - 2*j - 1. Let o(b) = -2*b**2 + 3*b + 1. Let u be o(-3). Let s = u - -42. What is the remainder when l(-1) is divided by s?
15
Let g(p) = p**2 + 4*p - 10. Calculate the remainder when 107 is divided by g(-8).
19
What is the remainder when (-6)/((-4)/52 + 0) is divided by 27?
24
Suppose 2*j - 10 = -2*i + 5*j, -i = 2*j - 19. Calculate the remainder when i is divided by 7.
4
Let o(r) = -7*r + 1. Let t be o(2). Let m = t + 23. Calculate the remainder when (-3)/(-15) - (-308)/m is divided b
|
{
"pile_set_name": "DM Mathematics"
}
|
79 and 1264.
79
Calculate the highest common factor of 84 and 96.
12
What is the greatest common factor of 342 and 912?
114
What is the greatest common divisor of 270 and 1560?
30
Calculate the greatest common factor of 235 and 658.
47
Calculate the highest common divisor of 201 and 268.
67
What is the greatest common factor of 22 and 1056?
22
Calculate the greatest common factor of 305 and 183.
61
What is the highest common factor of 1786 and 376?
94
Calculate the greatest common divisor of 33 and 220.
11
What is the greatest common factor of 64758 and 258?
258
Calculate the highest common factor of 144 and 126.
18
What is the greatest common divisor of 48 and 26?
2
What is the greatest common divisor of 32076 and 44?
44
What is the greatest common divisor of 6 and 729?
3
What is the greatest common divisor of 102 and 292?
2
Calculate the highest common factor of 27 and 3177.
9
Calculate the highest common divisor of 9273 and 33.
33
Calculate the greatest common factor of 2 and 9.
1
What is the highest common divisor of 266 and 224?
14
What is the highest common divisor of 999 and 108?
27
Calculate the greatest common divisor of 8823 and 51.
51
What is the greatest common factor of 784 and 48?
16
Calculate the highest common divisor of 3136 and 128.
64
Calculate the greatest common factor of 6 and 42.
6
What is the greatest common factor of 1690 and 50?
10
What is the greatest common factor of 1037 and 122?
61
Calculate the greatest common factor of 960 and 15.
15
Calculate the highest common factor of 803 and 33.
11
What is the greatest common divisor of 11 and 1?
1
What is the greatest common factor of 10 and 2074?
2
Calculate the greatest common divisor of 154 and 385.
77
What is the highest common factor of 5203 and 215?
43
What is the highest common factor of 15 and 5127?
3
Calculate the highest common divisor of 280 and 970.
10
What is the highest common divisor of 35 and 2065?
35
What is the highest common divisor of 14 and 56?
14
What is the highest common divisor of 116 and 48?
4
What is the highest common divisor of 2 and 13?
1
Calculate the greatest common factor of 18 and 10242.
18
What is the highest common divisor of 49 and 203?
7
Calculate the greatest common factor of 100 and 16220.
20
What is the greatest common divisor of 44 and 286?
22
What is the highest common factor of 1416 and 2478?
354
What is the highest common factor of 155 and 15?
5
What is the greatest common divisor of 18197 and 62?
31
What is the greatest common divisor of 1266 and 6?
6
Calculate the highest common factor of 473 and 22.
11
Calculate the highest common divisor of 22 and 4840.
22
Calculate the highest common divisor of 2150 and 50.
50
What is the greatest common divisor of 665 and 2565?
95
Calculate the highest common divisor of 75 and 750.
75
Calculate the greatest common factor of 12 and 132.
12
What is the highest common divisor of 1386 and 396?
198
What is the greatest common divisor of 54 and 1134?
54
Calculate the highest common factor of 13 and 689.
13
What is the greatest common factor of 64 and 3008?
64
Calculate the highest common divisor of 332 and 747.
83
What is the greatest common factor of 315 and 1827?
63
Calculate the highest common factor of 22 and 935.
11
What is the highest common divisor of 833 and 51?
17
What is the highest common divisor of 759 and 1122?
33
Calculate the greatest common factor of 440 and 40.
40
Calculate the highest common divisor of 144 and 144.
144
What is the greatest common factor of 19 and 14041?
19
What is the highest common divisor of 60547 and 191?
191
Calculate the highest common divisor of 462 and 42.
42
What is the greatest common divisor of 4632 and 24?
24
What is the greatest common factor of 15 and 31695?
15
Calculate the highest common divisor of 171 and 95.
19
Calculate the highest common divisor of 3 and 7881.
3
What is the greatest common divisor of 2745 and 180?
45
What is the highest common factor of 17019 and 62?
31
What is the greatest common divisor of 25645 and 230?
115
Calculate the greatest common divisor of 196 and 3234.
98
What is the greatest common factor of 5 and 395?
5
Calculate the greatest common divisor of 960 and 72.
24
Calculate the greatest common factor of 4 and 484.
4
What is the highest common factor of 160 and 20?
20
What is the greatest common factor of 34580 and 52?
52
Calculate the greatest common divisor of 3818 and 46.
46
What is the greatest common factor of 246 and 12?
6
What is the greatest common factor of 1935 and 765?
45
Calculate the highest common factor of 66 and 363.
33
Calculate the greatest common divisor of 28 and 63.
7
Calculate the highest common divisor of 15043 and 98.
49
What is the highest common factor of 1428 and 8?
4
Calculate the highest common divisor of 1617 and 7791.
147
Calculate the greatest common factor of 9 and 73.
1
What is the highest common divisor of 114 and 12?
6
Calculate the highest common factor of 770 and 44.
22
Calculate the greatest common factor of 19 and 304.
19
What is the highest common factor of 45 and 1005?
15
Calculate the highest common factor of 371 and 763.
7
Calculate the highest common divisor of 405 and 15.
15
Calculate the greatest common factor of 6856 and 8.
8
Calculate the greatest common factor of 55 and 37510.
55
What is the greatest common factor of 333 and 1739?
37
Calculate the greatest common divisor of 35 and 10.
5
Calculate the highest common factor of 13328 and 448.
112
What is the highest common factor of 30 and 90?
30
What is the greatest common factor of 202 and 10?
2
What is the greatest common divisor of 1152 and 9?
9
What is the greatest common factor of 1 and 27?
1
Calculate the highest common factor of 370 and 10.
10
What is the greatest common divisor of 160 and 120?
40
Calculate the highest common factor of 10 and 20.
10
Calculate the highest common factor of 56 and 1680.
56
What is the highest common factor of 461 and 1?
1
Calculate the greatest common divisor of 45 and 1935.
45
Calculate the highest common divisor of 4901 and 29.
29
Calculate the greatest common factor of 270 and 30.
30
Calculate the highest common divisor of 3303 and 9.
9
What is the greatest common divisor of 880 and 20?
20
Calculate the greatest common factor of 161 and 71806.
161
Calculate the greatest common divisor of 18 and 542.
2
Calculate the greatest common factor of 8 and 220.
4
Calculate the highest common divisor of 6629 and 21.
7
Calculate the highest common factor of 1513 and 89.
89
Calculate the greatest common factor of 25 and 2275.
25
Calculate the highest common divisor of 1875 and 45.
15
Calculate the greatest common factor of 943 and 69.
23
Calculate the highest common factor of 429 and 99.
33
Calculate the greatest common factor of 833 and 1190.
119
Calculate the greatest common divisor of 3122 and 28.
14
Calculate the highest common factor of 738 and 5822.
82
What is the greatest common factor of 352 and 848?
16
What is the highest common divisor of 1825 and 400?
25
Calculate the greatest common divisor of 2 and 250.
2
What is the greatest common factor of 354 and 9?
3
Calculate the greatest common factor of 728 and 72.
8
What is the greatest common factor of 342 and 90?
18
What is the highest common divisor of 310 and 430?
10
What is the greatest common divisor of 1460 and 60?
20
What is the greatest common factor of 224 and 32?
32
What is the greatest common divisor of 405 and 27?
27
Calculate the greatest common divisor of 33 and 891.
33
Calculate the highest common divisor of 91 and 39.
13
What is the highest common factor of 2759 and 89?
89
Calculate the highest common factor of 1428 and 1848.
84
Calculate the greatest common divisor of 5762 and 344.
86
Calculate the highest common divisor of 216 and 3744.
72
Calculate the highest common factor of 14 and 721.
7
Calculate the highest common divisor of 8 and 296.
8
What is the greatest common divisor of 140 and 735?
35
What is the highest common divisor of 14 and 22708?
14
Calculate the highest common divisor of 5671 and 106.
53
Calculate the highest common factor of 60 and 1440.
60
What is the highest common factor of 91 and 14287?
91
Calculate the highest common factor of 46 and 3266.
46
What is the greatest common divisor of 54 and 1
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of t(l). What is the units digit of r(6)?
8
Suppose -195*k = 271*k - 12979498. What is the ten thousands digit of k?
2
What is the tens digit of (-1)/((-5395935)/337245 - -16)?
8
What is the units digit of (8/36*-1)/2 - (-2399790)/270?
8
Suppose -2*o + 2804 + 1354 = 0. Suppose 36*f - o = 29*f. What is the tens digit of f?
9
Suppose 26*p - 68143 = 122931. What is the thousands digit of p?
7
Suppose -2*z - 3*z = 2*d - 496, -2*d + 96 = z. Suppose 0 = q, 24*q = -4*b + 29*q + 76. Let r = z - b. What is the units digit of r?
1
Let w be 0 - (-5620)/18 - 54/243. Suppose w = -9*d + 9753. What is the units digit of d?
9
Suppose 2*c + 6*v = 3*v - 3, 2*v - 17 = 5*c. Let p(t) = -3*t**3 + t**2 + 3*t + 3. Let j be p(c). What is the units digit of j*(-10)/25*5/(-4)?
2
Suppose 3*t - 22*t + 36347 = 0. Let d = t + -691. What is the units digit of d?
2
Suppose -110637 = 6048*w - 6067*w. What is the tens digit of w?
2
Let u(g) = 11*g**2 + 277*g - 111. What is the units digit of u(-41)?
3
Let v(c) = 40*c**2 + 3. Let r(x) = -x**3 + 7*x**2 - 8*x + 16. Let d be r(6). Suppose -4*s - 2*t + 0*t = d, t + 6 = -4*s. What is the tens digit of v(s)?
6
Let n(w) = -w**3 - w**2 + 8*w + 7. Let b be n(-6). Suppose 142*i - 648 = b*i. What is the tens digit of i?
1
Let f(y) = 390*y + 517. What is the thousands digit of f(5)?
2
Suppose n = -4*t - 13729, 9*t - 4*n + 3411 = 8*t. Let s = -2335 - t. What is the thousands digit of s?
1
Let z(i) = -3*i**3 - 10*i**2 - 2*i - 5. Let p be -2*(3 - 9/6). Let l be (-4*(-3)/(-10))/(p/(-10)). What is the tens digit of z(l)?
3
Let u = -426 - -425. What is the tens digit of 1612 - 4/u - -4?
2
Let a(q) = 2*q**2 + 3*q + 1. Let j be a(-2). Suppose 0 = -t - 4*p + j, p = 3*p. Suppose 0 = -0*b + t*b - 72. What is the units digit of b?
4
Suppose 1216383 + 3074235 - 18125092 = -223*r. What is the thousands digit of r?
2
Let l(u) = 26*u**2 - 9*u + 771. What is the thousands digit of l(-16)?
7
Suppose -y - 35386 = -w, -55*y + 53*y = 4. What is the units digit of w?
4
Let k(w) = w - 2. Let m be k(-2). Let x(u) = 19*u**2 - 9*u - 16. What is the tens digit of x(m)?
2
Suppose 4*n + w = 12 + 2, 0 = -4*n + w + 18. Suppose 2*d - 17 = -5*c + 220, -n*d = 16. What is the units digit of c?
9
Let q = 7259 - 1129. What is the units digit of q?
0
Suppose 266481 + 29999 = 8*f. What is the units digit of f?
0
Let j(u) = 6*u**2 - 107*u - 24. Let m be j(18). Let i(c) = 2369*c**2 + c + 2. Let v be i(-1). What is the units digit of m/(-4) - v/(-12)?
9
Suppose 0 = -16*z + 77932 + 1100804. What is the units digit of z?
1
Let m = -4114 - -11657. What is the hundreds digit of m?
5
Suppose 19*j + 134*j + 36*j - 12552813 = 0. What is the thousands digit of j?
6
Let z be 12/15 + (-664794)/(-195). What is the hundreds digit of z/5 + 7 + 8?
6
Let o be (-1 - 2) + (-2)/((-1)/(-1)). Let v(d) = -4*d - 15. Let p be v(o). Suppose g - p*g + 4*l = -172, -g = -5*l - 55. What is the units digit of g?
0
Let u(s) = -6*s + 39. Suppose 64 = 4*x - 36. Suppose -3*n = -5*l - x, 2*n - 20 = 4*l + 5*n. What is the units digit of u(l)?
9
Let r = -6319 + 12077. What is the tens digit of r?
5
Let p(w) = -8*w**3 - 5*w**2 - 8*w - 158. What is the thousands digit of p(-14)?
0
Suppose -230*k = -28*k - 3079490. What is the ten thousands digit of k?
1
Suppose 5*c + 0*c = 11*c + 18. Suppose 5*p + 34 = 189. Let i = p + c. What is the tens digit of i?
2
Let b = -7223 + 20053. What is the hundreds digit of b?
8
Let v(t) = -28*t - t**3 - 12 - 6 + 23*t**2 + 6. What is the tens digit of v(16)?
3
Let r(j) = 2*j + 5. Let x be r(-1). Let u be (-3 - -7)*x/6. Suppose -4*i - 4*p = -72, 5*i + 0*p - u*p - 62 = 0. What is the units digit of i?
4
Suppose 6*b + 14 = 122. Suppose b*p - 23*p + 1010 = 0. What is the units digit of p?
2
Let j be -10 + 11 + (-2 - 1). What is the tens digit of ((-1 - j) + 288)*1?
8
Let w be 282/(-94) - (-8667 - (1 - 1)). Suppose -18*p + 26*p - w = 0. What is the units digit of p?
3
Suppose -2*i = 4*u - 264, -3*i + 349 + 22 = u. Suppose 49 + i = c. What is the tens digit of c?
7
Suppose -21*r = -895 - 1142. Suppose -2*w + r = -967. What is the hundreds digit of w?
5
Suppose -3*c = -291*z + 296*z - 4348, -z = -4*c - 888. What is the hundreds digit of z?
8
Let w(s) = -s**3 + 10*s**2 - 7*s - 18. Let h be w(9). Let v be (-12)/(-2) + (-9 - -8). What is the tens digit of (48 - h) + -1 + v?
5
What is the tens digit of 9272 - (-8 + (8 - 2))?
7
Let i = 31 + -26. Suppose -6*p + 3*p = 2*f + 114, p + 285 = -i*f. Let x = f + 122. What is the units digit of x?
5
Suppose -4*y + 35331 = 5*q - 29506, 3*q + 2*y = 38903. What is the tens digit of q?
6
Let j(b) = b**3 + 7*b**2 + 2*b + 11. Let h be j(-7). What is the units digit of (6/(-4))/(1*h/330)?
5
Let q(f) = -10*f - 63. Let h be (14 - 10)*(3 + (-19)/2). What is the tens digit of q(h)?
9
Suppose -x = -5*f + 30117, 4*f + 3*x - 10634 - 13452 = 0. What is the hundreds digit of f?
0
Suppose c + 80768 = 4*b, 3*b + 3*c = 14685 + 45876. What is the tens digit of b?
9
Let l = 295305 - 204048. What is the units digit of l?
7
Suppose -7*h + 11*h = -2*t + 1778, 2*t = -3*h + 1778. Suppose 3*i - 749 = t. What is the tens digit of i?
4
Let b(t) = -t**3 + t**2 + 5*t + 2. Let l be b(-2). Suppose 5*p + 5*y - 1545 = 0, -5*p = -3*p - l*y - 618. What is the hundreds digit of p?
3
Let o(n) be the third derivative of n**5/60 - n**4/3 + n**3/3 + 2*n**2. Let p = -442 - -456. What is the tens digit of o(p)?
8
Suppose -12 = -k + 5*m, -5*m - 4 = k + 2*k. Let o = k + 0. Suppose o*t - 87 = t. What is the tens digit of t?
8
Suppose -8*k = -10*k + 14. Suppose 0*h + 28 = 4*h + 4*d, h - 5*d = k. Suppose -h*s + 27 = -568. What is the units digit of s?
5
Let f = 24165 + -201. What is the ten thousands digit of f?
2
Suppose -24 = -24*h + 16*h. Suppose -361 = h*u - 4*u. What is the hundreds digit of u?
3
Suppose 3*o - 5565 = 2*i - 27188, -2*i = o - 21619. What is the hundreds digit of i?
8
Suppose 3*m - 11815 = -5*t + 65527, 0 = 3*t - 2*m - 46428. What is the hundreds digit of t?
4
Suppose 18*t = 17*t - 48. Let g = 53 + t. Suppose 0 = a + 2*z - 111, -2*a + 200 + 67 = -g*z. What is the units digit of a?
1
Let c(k) = k**3 - 11*k**2 - 8*k + 8. Let a be c(8). Let m = a - -374. Suppose m = l - 0*l. What is the hundreds digit of l?
1
Suppose 2*d - j - 7331 = 6304, 6828 = d - 4*j. What is the thousands digit of d?
6
Suppose -148*w + 56943 = 23*w. What is the tens digit of w?
3
Suppose 0 = -4*s + 3*h + 16342, 3*s = -27*h + 22*h + 12271. What is the hundreds digit of s?
0
Suppose -16*y + 17*y + 103 = 0. Let h = 95 + y. Let x(w) = -w**3 - 8*w**2 - 12*w - 5. What is the tens digit of x(h)?
9
Suppose 536*r - 2192753 = 5010015. What is the thousands digit of r?
3
Let o be (1 + (-114)/10)*-5. Suppose 2*j - 3*j = 3*b + 23, b - 105 = 4*j. Let s = o - j. What is the tens digit of s?
7
Suppose -2*s + 5*s + 5*v = -5, -s = -v - 9. Suppose c - 19 = -s*y, 5*c + 4 = 24. Let x(i) = 60*i - 3. What is the units digit of x(y)?
7
What is the ten thousands digit of 6/(6/33505) + (-13)/(-26)*-6?
3
Let y(c) = -c**3 + c**2 + 5*c - 9. Let t be y(-4). Let q = 2 + t. What is the units digit of q?
3
Suppose 4*o + o - z = -2, -2*o - 3*z = 11. Let y(i) = -26*i**2 + i - 1. Let k be y(o). Let j = k + 51. What is the tens digit of j?
2
Let p = 3 - 3. Let r be (4/(-4))/(3*(-5)/2010). Suppose 2*t + 4*s - 128 = 0, -2*t = -p*t + 2*s - r. What is the units digit of t?
0
Suppose -35*b = 2*b - 104562. Let d = b - 1038. What is the hundreds digit of d?
7
Let f(i) = i**3 + 18*i**2 + 36*i - 39. What is the units digit of f(25)?
6
Let r = 3420 + 693. What is the hundreds digit of r?
1
What is the thousands digit of -8 - 64100/(-5) - (14 + (-6 - 0))?
2
Let y(f) = -521*f - 5414. What is the thousands digit of y(-27)?
8
Let m be (-260285)/(-60) + 5/(-60). Suppose -205*w = -196*w - m. What is the tens digit of w?
8
Suppose -3*b - 1020 = -2*x, b + 1068 = 5*x - 1508. Suppose -5*y = -4*h + x + 839, 0 = -h - 3*y + 343. What is the hundreds digit of h?
3
Suppose -70 = -34*x + 100. Suppose -5*f = -6*s + 11*s - 6965, -x*f = 4*s - 6969. What is the units digit of f?
7
Suppose 0 = 8*z - 4*z - 1024. Suppose -3*v = -6*v - 2*o + z, 2*o = 3*v - 236. Suppose -3*n - 2*n - 3*p + 454 = 0, 5*p = -n + v. What is the units digit of n?
2
Let k(q) = 232*q + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
t is -14304 - -524013?
506406
In base 9, what is 5 - 126718504?
-126718488
In base 5, what is 141042103311 - 4?
141042103302
In base 9, what is 5683002 + -2?
5683000
In base 3, what is 201 - 12010100002221?
-12010100002020
In base 13, what is -38 - -124289?
124251
In base 10, what is -144960 + 1075?
-143885
In base 10, what is -1 - 41991307?
-41991308
In base 8, what is 415 + 732553?
733170
In base 14, what is c - 250b49?
-250b3b
In base 10, what is -553 - -5548?
4995
In base 14, what is -a7 - 153d0?
-15497
In base 10, what is 13 - 2110730?
-2110717
In base 16, what is 1 + 1ad5ab?
1ad5ac
In base 6, what is 1114 - -444320?
445434
In base 8, what is 25 + 53162775?
53163022
In base 13, what is 37a04c - -415?
37a464
In base 4, what is -220322113 + 3311?
-220312202
In base 12, what is 2328910 - 3?
2328909
In base 13, what is -5 - 16945ca?
-1694602
In base 6, what is -12115420 + -2?
-12115422
In base 7, what is -3 + 225333213?
225333210
In base 9, what is -71608 - 1478?
-73187
In base 7, what is 15 - 6631364?
-6631346
In base 16, what is -804e07 - 4?
-804e0b
In base 16, what is -1 - 785acc?
-785acd
In base 16, what is 5 + -126774d?
-1267748
In base 3, what is 20002120020200200 - 12?
20002120020200111
In base 9, what is 13417 + -13283?
124
In base 2, what is -1101111111000001110 - 10110?
-1101111111000100100
In base 16, what is 2ce5c + -28?
2ce34
In base 14, what is -a95c77 - -3?
-a95c74
In base 15, what is -1 + 1365963?
1365962
In base 6, what is 150041504 + -41?
150041423
In base 2, what is -111010000110101010 - -10011?
-111010000110010111
In base 13, what is -30c881 - -2a6?
-30c5a8
In base 5, what is -2224211 - 224010?
-3003221
In base 14, what is 8 - 4635aa?
-4635a2
In base 5, what is -44440213404 - 10?
-44440213414
In base 8, what is 0 + -13061765?
-13061765
In base 11, what is -43900233 + -2?
-43900235
In base 13, what is 189 + -1285?
-10c9
In base 8, what is -2522234 - 17?
-2522253
In base 7, what is 5 - 334366652?
-334366644
In base 9, what is -22 + 30872303?
30872271
In base 12, what is 164 - -2aa86?
2b02a
In base 3, what is 12020011101212 - 1121?
12020011100021
In base 6, what is -4204525 + -254?
-4205223
In base 10, what is 1165051 + -4?
1165047
In base 13, what is 2897 - 1634?
1263
In base 5, what is -3 + 4042024242?
4042024234
In base 4, what is 2101333 + 210310?
2312303
In base 9, what is 38606 + -7?
38588
In base 15, what is -397 - -e568?
e1c1
In base 5, what is 41223140312 + -4?
41223140303
In base 13, what is 5 + 342c112?
342c117
In base 8, what is -13 - 251504550?
-251504563
In base 5, what is 11034300100 + 10?
11034300110
In base 16, what is -4b568 - -16?
-4b552
In base 8, what is 4 - 5177017?
-5177013
In base 8, what is -46 + 126?
60
In base 16, what is 2d704 + 3d2?
2dad6
In base 2, what is -10001000010 - -1000010101110110?
1000000100110100
In base 15, what is -3 + 6ae447?
6ae444
In base 13, what is 269bb64b + 0?
269bb64b
In base 16, what is -28b9fd4 + 3?
-28b9fd1
In base 11, what is 1 - 66770791?
-66770790
In base 9, what is 8 - 1576181?
-1576172
In base 7, what is -146 + 44565662?
44565513
In base 11, what is a - 1863936?
-1863927
In base 16, what is 1ef6dd - 26?
1ef6b7
In base 10, what is 314 - -27600?
27914
In base 9, what is 1286363560 - -1?
1286363561
In base 8, what is -127173 + 643?
-126330
In base 14, what is -41b3 - 2661?
-6834
In base 14, what is -28bc - 2d71?
-584d
In base 6, what is -3 - -1224100200?
1224100153
In base 6, what is 2 + 3221020300?
3221020302
In base 7, what is -502 + 324216?
323414
In base 3, what is 10010 - 201210121?
-201200111
In base 13, what is 45a7 + -3657?
c50
In base 9, what is 783847740 + -4?
783847735
In base 8, what is 427676 - 311?
427365
In base 14, what is a5765b - -2?
a5765d
In base 10, what is 3 + -317948?
-317945
In base 12, what is 26 + -26892?
-26868
In base 4, what is -12 - -122123023022?
122123023010
In base 16, what is -6 - b6ce3?
-b6ce9
In base 4, what is -12310323131 + 13?
-12310323112
In base 4, what is -2301331321110 + -1?
-2301331321111
In base 8, what is 551321 - -5?
551326
In base 5, what is -220022 - -21413?
-143104
In base 12, what is -226 - -13265?
1303b
In base 11, what is -12a - -a9971?
a9842
In base 10, what is 1 + 2736962?
2736963
In base 9, what is 4 + -3202071?
-3202066
In base 10, what is -7 - 19766641?
-19766648
In base 8, what is 724 - 3165413?
-3164467
In base 14, what is 2 - 34cd78?
-34cd76
In base 15, what is -4 - -30856a?
308566
In base 10, what is -88392 + -54?
-88446
In base 8, what is 15206650503 - -2?
15206650505
In base 16, what is c37 + 13c1?
1ff8
In base 11, what is 71a8 + -695?
6613
In base 13, what is 50b - -2c5c?
346a
In base 12, what is 16 + 350a21?
350a37
In base 16, what is 1bc - 7aeb?
-792f
In base 5, what is -12 - 2341040011?
-2341040023
In base 15, what is 1e5 - 2ed2?
-2cdc
In base 12, what is -5a - 157619?
-157677
In base 15, what is 6 - -13a9e?
13aa5
In base 3, what is -111022000002020 - 1011?
-111022000010101
In base 3, what is 121221212211 - -2102011?
122001021222
In base 8, what is 3565373210 - -1?
3565373211
In base 10, what is 1 + -1807233?
-1807232
In base 15, what is 34 + -16e6e?
-16e3a
In base 15, what is cb + 5aea7e?
5aeb5a
In base 10, what is -463743 + -138?
-463881
In base 11, what is 1556a913 + 0?
1556a913
In base 8, what is 10 - 4034?
-4024
In base 12, what is 2 - -268591?
268593
In base 3, what is -21011210100 + -112100?
-21012022200
In base 15, what is -83d683 - -4?
-83d67e
In base 13, what is -5 - -9a56567?
9a56562
In base 10, what is 19036631 - -9?
19036640
In base 3, what is -122001020210010102 - 11?
-122001020210010120
In base 8, what is 332316 - -1361?
333677
In base 8, what is 637150517 + 11?
637150530
In base 3, what is 100020012022 - -112022?
100020201121
In base 14, what is -1b8b - -1154?
-a37
In base 13, what is -12812 + -a7?
-128b9
In base 16, what is 18952be2 + 2?
18952be4
In base 11, what is 4926 + -24?
4902
In base 5, what is 130223 + 1330104?
2010332
In base 3, what is 100102012200011 + 20?
100102012200101
In base 12, what is -346323 - 14?
-346337
In base 4, what is 313101013112 + -11?
313101013101
In base 5, what is 11223221 - -101?
11223322
In base 6, what is 100030113 - -21?
100030134
In base 16, what is c8c + -6ba?
5d2
In base 4, what is -2321310301 - -1020?
-2321303221
In base 8, what is -34334 + -245?
-34601
In base 4, what is -230211330033 + -1?
-230211330100
In base 5, what is -40432410142 + 1?
-40432410141
In base 11, what is -32a86 + -6?
-32a91
In base 6, what is 144 + -1112023040?
-1112022452
In base 12, what is 10 + -906334?
-906324
In base 4, what is 11100202101 - 33?
11100202002
In base 16, what is -dbea5 + -52?
-dbef7
In base 10, what is -86205 - -59?
-86146
In base 10, what is 345 - -62106?
62451
In base 9, what is 841 - -183?
1134
In base 10, what is 1323203 - 66?
1323137
In base 14, what is -6da4 + -254?
-7218
In base 10, what is 39 - 211498?
-211459
In base 16, what is -60 - -dcb91?
dcb31
In base 6, what is -111505545 + -424?
-111510413
In base 6, what is -231501 - -25?
-231432
In base 8, what is 26371 - 1212?
25157
In base 13, what is 88a4 - 3008?
5899
In base 9, what is -372286 - -147?
-372138
In base 10, what is 338 - 681793?
-681455
In base 5, what is -3022221 + -134343?
-3212114
In base 5, what is -220 + -14413223311?
-14413224031
In base 12, what is 62a2 - -4b5?
6797
In base 3, what is -10 + -201022012012211?
-201022012012221
In base 4, what is -1223212201 - 210?
-1223213011
In base 13, what is -286 - 2149b?
-21754
In base 5, what is -10231 - -12232330?
12222044
In base 5, what is 23 + 10003342?
10003420
In base 8, what is -125 - 571130?
-571255
In base 6, what is 133 + 12430501?
12431034
In base 12, what is -428266 + -19?
-428283
In base 12, what is -2abb71 + -68?
-2b0019
In base 10, what is -139531 - 217?
-139748
In base 3, what is 2212000200 - 2121?
2211221002
In base 3, what is -12121220122121000 - 1?
-12121220122121001
In base 8, what is -4 - -21343136?
21343132
In base 11, what is a - -9a20460?
9a2046a
In base 13, what is -13288 - 503?
-1378b
In base 4, what is 123013 - -2003112?
2132131
In base 10, what is -2857532 + 67?
-2857465
In base 16, what is 4ed - 145a27?
-14553a
In base 3, what is 1020010122101202 + -20?
1020010122101112
In base 16, what is -1cfce + -3e2?
-1d3b0
In b
|
{
"pile_set_name": "DM Mathematics"
}
|
b**2 + 6*b - 14. Let c be k(-8). Find the third derivative of -c*q**4 + 3*q**4 + 2*q**4 + 7*q**2 - 4*q**4 wrt q.
-24*q
What is the third derivative of -10*r**3 - 34*r**2 - 34*r**2 + 80*r**2 wrt r?
-60
What is the third derivative of -27*v**4 + 2*v**2 + 2*v + 68*v**4 - 13*v**4 wrt v?
672*v
Let z(v) = 2*v**3 - 12*v**2. Let p(n) = -n**2. Let t(m) = -10*p(m) + z(m). What is the third derivative of t(l) wrt l?
12
Let c(i) = -6*i**2 - 5*i + 4. Let r(b) = b - 1. Let l(q) = 3*c(q) + 15*r(q). Differentiate l(h) with respect to h.
-36*h
Let k(t) be the third derivative of -t**6/40 + 5*t**4/24 + 6*t**2. What is the second derivative of k(g) wrt g?
-18*g
Suppose -10 = y + 4*y. Let r be (0/(-2))/(6/y). What is the derivative of 1 + 2 + r*k**3 - k**3 wrt k?
-3*k**2
Let v(r) = r + 1. Let m be v(2). What is the derivative of -d**m + 25*d - 25*d - 2 wrt d?
-3*d**2
Let u(c) = 2*c**4 - 6*c**3 + 2*c**2 + 6*c + 6. Let s(n) = -n**4 + n**3 + n**2 - n - 1. Let y(x) = -24*s(x) - 4*u(x). Find the third derivative of y(q) wrt q.
384*q
Find the second derivative of 4*a + 6*a**4 + a + 6*a**4 wrt a.
144*a**2
Suppose -3*l = -l - 6. Let k(q) = -5 + 4 + 3*q - q**3 + q**3 - 6*q**3. Let g(a) = -a**3 + a. Let i(z) = l*g(z) - k(z). Find the first derivative of i(d) wrt d.
9*d**2
Let c be -3 + (2 - (-6 + 3)). Find the second derivative of -w**2 - 4*w**c + w**2 - 5*w - 3*w**2 wrt w.
-14
Let j(x) = -13*x**4 - 9*x**2 - 7. Let a(k) = 3*k**4 + 2*k**2 + 2. Let p(c) = 9*a(c) + 2*j(c). What is the derivative of p(r) wrt r?
4*r**3
Suppose y = -4*p + 15, -2*p + 21 = 3*y + 2*y. Find the third derivative of 0*h**6 - p*h**2 + 2*h**6 - h**6 wrt h.
120*h**3
Let r(z) be the first derivative of -z**6/40 + z**5/30 + z**2 + 4. Let c(t) be the second derivative of r(t). What is the third derivative of c(p) wrt p?
-18
Let s be 4/16 - 0*(-1 - -2). Let t(c) be the first derivative of 3 + c**2 + 0*c**3 + 0*c + s*c**4. Find the second derivative of t(y) wrt y.
6*y
Find the third derivative of 4*h - 12*h**3 + 54*h**3 - h**2 + 18*h**3 wrt h.
360
Let u(c) = c**3 + 6*c - 3. Let y(w) = 30*w**2 - w**3 + 1 - w - 30*w**2. Let x(d) = -u(d) - 3*y(d). Find the second derivative of x(i) wrt i.
12*i
Suppose i = 5 - 3. Suppose 3*q + i*q = 0. What is the second derivative of -4*l**4 + l**4 + q*l**4 - 3*l wrt l?
-36*l**2
What is the derivative of -5 - 3 - 10 - 32*i**2 wrt i?
-64*i
Let y(z) be the second derivative of -z**9/15120 + z**6/180 - z**4/3 + z. Let p(l) be the third derivative of y(l). Find the second derivative of p(u) wrt u.
-12*u**2
Let w(n) be the second derivative of n**7/6 + n**4/2 + 17*n. Find the third derivative of w(h) wrt h.
420*h**2
Let w(f) be the second derivative of -3*f**5/20 - f**4/3 - 5*f. What is the third derivative of w(j) wrt j?
-18
Let v(q) be the first derivative of 2*q**5 - 6*q + 16. Differentiate v(f) with respect to f.
40*f**3
Let w be (-18)/3*(-5)/10. What is the third derivative of -f**w + f**2 - 3*f**3 - 3*f**2 + 0*f**3 wrt f?
-24
Let w be 14/6 + (-1)/3. Find the third derivative of 0*u**2 - 2*u**w + 3*u**2 - 2*u**5 + 0*u**2 wrt u.
-120*u**2
Let a(q) be the second derivative of 13*q**6/30 - 13*q**4/6 + 46*q. What is the third derivative of a(s) wrt s?
312*s
Let c(i) = i**2 - 6*i - 9. Let a be c(8). Suppose -2*f - 3*f = h + 13, f + a = 2*h. What is the second derivative of -v - 4*v + 4*v**3 + h*v wrt v?
24*v
Let k be 85/102*(-3)/(-10). Let s(y) be the first derivative of 0*y + k*y**4 + 3 + 0*y**3 + 1/2*y**2. What is the second derivative of s(n) wrt n?
6*n
Let u(z) = -8*z**3 - 11*z - 2. Let p(j) = j**3 + 1. Let d(b) = -2*p(b) - u(b). Find the second derivative of d(k) wrt k.
36*k
Let s(z) be the second derivative of -z**6/24 - 5*z**3/6 + 3*z**2/2 + z. Let g(x) be the first derivative of s(x). What is the first derivative of g(i) wrt i?
-15*i**2
Let a(j) be the first derivative of 3*j**8/560 - j**5/24 + 5*j**3/3 + 9. Let n(g) be the third derivative of a(g). Find the second derivative of n(w) wrt w.
108*w**2
Let a = -4 + 7. Differentiate 4 - a*o**3 + 2*o**3 + 0 - 2*o**3 with respect to o.
-9*o**2
Suppose 3*m + q + q = -23, -4*q = 5*m + 39. Let r = -5 - m. Find the first derivative of r - 3*s**2 + 1 + 2*s**2 wrt s.
-2*s
Let y(k) = k**3 - 3*k**2 - k. Let v(g) = -2*g**3 + 4*g**2 + 2*g. Let d = -14 - -10. Let a(r) = d*y(r) - 3*v(r). Find the second derivative of a(i) wrt i.
12*i
Let i(w) be the third derivative of 61*w**9/504 + w**5/60 + w**3/6 - 3*w**2 - 14*w. What is the third derivative of i(o) wrt o?
7320*o**3
Find the first derivative of 4*q - 9*q - 11*q**4 + 5*q - 10 wrt q.
-44*q**3
Let l(a) = -a**5 - a**4 + a**2 + a + 1. Let t(g) = 12*g**5 - 4*g**4 + 9*g**2 + 4*g + 4. Let i(p) = -4*l(p) + t(p). Find the third derivative of i(v) wrt v.
960*v**2
Let a(w) be the first derivative of -11*w**6/6 + 8*w**3/3 - 4. What is the third derivative of a(o) wrt o?
-660*o**2
Let i(o) = -57*o**2 - 17. Let k(u) = 58*u**2 + u + 16. Let z(c) = 3*i(c) + 2*k(c). What is the first derivative of z(s) wrt s?
-110*s + 2
Suppose 3*r - 20 = -4*g, -r + 9*g - 25 = 4*g. Find the second derivative of -3*t**5 - 3*t + r*t**5 - 2*t + 2*t wrt t.
-60*t**3
Let u be (-42)/(-15) - (-1)/5. Let a = 6 - u. Find the third derivative of 3*k**2 + k**2 - 3*k**a - 2*k**2 wrt k.
-18
Let c(z) be the third derivative of -13*z**6/60 - 11*z**3/6 - 16*z**2. What is the derivative of c(x) wrt x?
-78*x**2
Let o(x) be the third derivative of 0*x + 1/56*x**8 + 0*x**6 + 0*x**7 + 0 + 7*x**2 + 0*x**4 - 1/6*x**5 + 0*x**3. What is the third derivative of o(l) wrt l?
360*l**2
Differentiate -9 + 12*y**4 - 2*y**4 + 3*y**4 + 30 with respect to y.
52*y**3
Let g = -5 - -4. Let a = 2 + g. Find the second derivative of a - 3*x**4 - 1 + 2*x wrt x.
-36*x**2
Let b(w) = w**4 + w**3 - w**2 - 1. Let f(i) = 7*i**4 - 4*i**3 - 12*i**2 + 4. Let v(r) = 4*b(r) + f(r). Find the third derivative of v(z) wrt z.
264*z
Let s(t) be the third derivative of -8*t**7/105 + 7*t**4/12 + 2*t**2. What is the second derivative of s(a) wrt a?
-192*a**2
Let d(m) be the second derivative of m**5/2 - 11*m**3/2 - 28*m. Find the second derivative of d(s) wrt s.
60*s
Let v(j) be the first derivative of -32*j**3/3 + 21*j**2 - 17. What is the second derivative of v(i) wrt i?
-64
Suppose 0 = -3*c - 2*c - 15. Let p = 5 + c. Differentiate -2*a + p*a + 3 - a**2 wrt a.
-2*a
Let z(p) = 22*p**6 + p**5 - 6*p**2 - 3*p - 2. Let i(o) = -o - 1. Let c(r) = -3*i(r) + z(r). What is the third derivative of c(t) wrt t?
2640*t**3 + 60*t**2
Let y = 6 + -6. Let h = y + 2. Find the third derivative of g**6 - g**h - 2*g**2 + 0*g**6 wrt g.
120*g**3
Let f be (-1)/4 + (-119)/(-28). What is the derivative of -f*v**3 - 3*v**3 + 4*v**3 + v**3 + 3 wrt v?
-6*v**2
Find the third derivative of 10*j**6 - 3*j**4 + j**2 + 8*j**2 + 3*j**4 wrt j.
1200*j**3
Let j = 5 - 2. Differentiate -o - 2*o + 2*o**3 + j + 3*o with respect to o.
6*o**2
Let b(s) = -s**2 + 6*s + 3. Let j be b(6). Let l = j + -2. Differentiate 2*p**2 - 4*p**2 - l + 0*p**2 wrt p.
-4*p
Let q(l) be the third derivative of -7*l**6/15 + 15*l**3/2 - 38*l**2. What is the first derivative of q(y) wrt y?
-168*y**2
Let z(x) be the third derivative of -x**4/4 - 4*x**3/3 + 9*x**2. Find the first derivative of z(k) wrt k.
-6
Suppose -35 + 10 = -5*u. Let x be u/2 + 7/14. Find the second derivative of -6*i**3 + 4*i**x + 0*i + i wrt i.
-12*i
What is the second derivative of -10*d**4 + 24*d - 28*d**4 + 19*d**4 wrt d?
-228*d**2
Let o(c) be the first derivative of -3/2*c**2 - 1 + 0*c + 1/4*c**4 + 0*c**3. Find the second derivative of o(i) wrt i.
6*i
Let w(n) be the second derivative of 4*n**6/15 - 3*n**5/20 - n**3/3 + 2*n**2 - 4*n + 1. Find the second derivative of w(g) wrt g.
96*g**2 - 18*g
Let p(j) = j**3 + 8*j**2 + 6*j - 7. Let t be p(-7). Find the third derivative of d**5 - 4*d**5 + t*d**2 - 2*d**2 wrt d.
-180*d**2
Let k(b) = b**2 + 3*b - 7. Let u be k(-5). Suppose 2*y - 1 = -g + 7, -3*y + 3 = -u*g. Find the third derivative of -p**g - 5*p**3 + 3*p**2 + 4*p**3 wrt p.
-6
Let o(t) be the third derivative of t**9/5040 + t**5/40 + t**4/12 - t**2. Let z(q) be the second derivative of o(q). Differentiate z(i) with respect to i.
12*i**3
Differentiate 6 + 1142*u**2 + 4 - 1140*u**2 with respect to u.
4*u
Let j be 6/(3 - (1 - 0)). Find the second derivative of 5*p - 3*p + 5*p*
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-2/5)/(a**7/a) assuming a is positive.
a**(-32/5)
Simplify ((d**(-2)*d*d)**3)**(-9) assuming d is positive.
1
Simplify h**0/(h**(-1)*h) assuming h is positive.
1
Simplify (d**(-2/23)/d)/(d*d**16/d) assuming d is positive.
d**(-393/23)
Simplify h**(4/7)*h**(-1)*(h*h**(1/3))**(1/102) assuming h is positive.
h**(-445/1071)
Simplify f*f*f**(-7/8)/f*f*f**(-1/3)/f assuming f is positive.
f**(-5/24)
Simplify (n/((n**2/n)/n))**(3/4)*(n/n**(1/2))**7 assuming n is positive.
n**(17/4)
Simplify y*(y**(-10)/y)/y*y*y/((y*y*y**(-5/6))/y) assuming y is positive.
y**(-55/6)
Simplify (i**(-9)*i/(i*i/i**(-13))*i*i)**(-2/17) assuming i is positive.
i**(42/17)
Simplify (k*k**(-1))**(-22)/(k*((k/k**0)/k)/k)**(-46) assuming k is positive.
1
Simplify (i/(i*i**(-1)))**(18/5)*(i*i**(-3))/i**(2/25) assuming i is positive.
i**(38/25)
Simplify ((t*t**0)**(9/5))**(14/3) assuming t is positive.
t**(42/5)
Simplify q**10/(q**(7/2)/q)*(q*q**(10/9))/(q*q/(q/(q*q*q**2*q*q))) assuming q is positive.
q**(47/18)
Simplify h**(-41)/(h/(h/(h*h**(6/5)))) assuming h is positive.
h**(-216/5)
Simplify (g**(-2)*g**(2/33)/g)/(g**(1/3))**10 assuming g is positive.
g**(-69/11)
Simplify (w**(-13))**(1/22) assuming w is positive.
w**(-13/22)
Simplify n**(5/4)*n/(n**23*n*n) assuming n is positive.
n**(-91/4)
Simplify (f*f**3)/f**(-2/41) assuming f is positive.
f**(166/41)
Simplify d**(-1/14)*d*(d**(-9/2)*d)/d assuming d is positive.
d**(-25/7)
Simplify i/i**(-2/79)*i**(-18)/i assuming i is positive.
i**(-1420/79)
Simplify (j**(-13)/(j*j**4))**(-47) assuming j is positive.
j**846
Simplify (q**(-1/2)*q)**(-2/21)*(q/q**0)**(-39/2) assuming q is positive.
q**(-821/42)
Simplify j**(-9)*j**19 assuming j is positive.
j**10
Simplify (j/j**(1/2)*j/(j*j**(-8/7)*j))/((j**(-2)*j*j)/(j/j**(3/5))) assuming j is positive.
j**(73/70)
Simplify i*i/(i**(-8)*i*i)*i*i/(i/i**1)*i*i**(2/5)*(i/((i*i*i*((i/((i**1*i)/i))/i)/i*i)/i))/i assuming i is positive.
i**(52/5)
Simplify ((j**(-22)*j)/(j**(-7)*j))**(3/29) assuming j is positive.
j**(-45/29)
Simplify ((q*q**1)/q)**(-21)*(q**(-2/9)/q)/(q**(2/3)/q) assuming q is positive.
q**(-197/9)
Simplify (g*g/(g/(g/((g*g/g**(-23))/g))))**(-13) assuming g is positive.
g**286
Simplify m**12/(m/(m**(3/7)*m)) assuming m is positive.
m**(87/7)
Simplify (n**9*n)/(n/(n/(n/(n*(n/n**(-9)*n)/n*n*n)))*n) assuming n is positive.
n**21
Simplify (k*k**19*k*k)/k*k**(10/3) assuming k is positive.
k**(73/3)
Simplify (j**(1/2)*(j*j*j**(-2/3)*j)/j*j)/(j*j/j**(7/3)*j**4) assuming j is positive.
j**(-5/6)
Simplify c**(-1/9)/(c**(-3/8)*c*c) assuming c is positive.
c**(-125/72)
Simplify ((m**(-31)*m)/m)**13 assuming m is positive.
m**(-403)
Simplify u/(((u/u**(1/33)*u)/u)/u*u)*u*(u/(u**(1/18)/u*u))/u assuming u is positive.
u**(193/198)
Simplify z**(-3)*(z**(-1/38)/z)/z assuming z is positive.
z**(-191/38)
Simplify (l/((l*((l**13*l)/l)/l)/l))**(4/11) assuming l is positive.
l**(-4)
Simplify (r**(-16)*r)**22 assuming r is positive.
r**(-330)
Simplify ((s**(5/8)/s*s)/s)/s**30 assuming s is positive.
s**(-243/8)
Simplify (((y*y*y/y**(-2/9))/y)/((y/(y*y**(1/9)))/y))**(-1/9) assuming y is positive.
y**(-10/27)
Simplify ((t/(t/(t/(t/(t*t/t**(-1/6))))*t))**(-3))**36 assuming t is positive.
t**(-126)
Simplify ((z*(z/z**(-4)*z)/z*z)/z)**(8/9) assuming z is positive.
z**(16/3)
Simplify (l**1/l*l*l**7)/(l/((l*l**8)/l)*l*l*l/(((l**7/l)/l)/l)*l) assuming l is positive.
l**15
Simplify l**(9/2)*l*l**(-16)/l assuming l is positive.
l**(-23/2)
Simplify m**(7/2)/(m*m**(-1)*m*m)*m**(2/7)*m*m*m**(-1/5) assuming m is positive.
m**(251/70)
Simplify (f*f**(-21))**15 assuming f is positive.
f**(-300)
Simplify a/a**(-1/24)*a/(a/(a*a**(-2/21)/a)) assuming a is positive.
a**(53/56)
Simplify ((u**(-2/3))**28)**(10/7) assuming u is positive.
u**(-80/3)
Simplify ((o*o*o/o**0*o)/o)**(-45)/(o/o**(-1))**33 assuming o is positive.
o**(-201)
Simplify (v**3*v*((v**5*v)/v)/v*v)**36 assuming v is positive.
v**324
Simplify (g/(g/((g*g*g*g**(-6)*g*g)/g)))**(-21) assuming g is positive.
g**42
Simplify x*(x**16/x)/x*x**(4/9)/x assuming x is positive.
x**(130/9)
Simplify ((x**(1/5))**(-3/11))**28 assuming x is positive.
x**(-84/55)
Simplify ((b**(-4)*b)/b**(-2/11))/(b/b**(-2/3))**(-31) assuming b is positive.
b**(1612/33)
Simplify (n*n**2)**(-10/7)/((n*n**(1/3))/n*(n**(-3)*n)/n) assuming n is positive.
n**(-34/21)
Simplify q**5*q*q*q**1/q*(q**(-2/3)/q)/q*q**(-6)/q assuming q is positive.
q**(-8/3)
Simplify (l/l**(2/3))**15*l**(1/5)/(l/(l*l*l*l*l**(6/5)*l)) assuming l is positive.
l**(52/5)
Simplify (b**(-6/13)/b)**(3/19) assuming b is positive.
b**(-3/13)
Simplify (c/(c**(-2/9)/c))/c**38 assuming c is positive.
c**(-322/9)
Simplify (p*p**(2/9)*p**(1/3)/p)/(p**0)**12 assuming p is positive.
p**(5/9)
Simplify ((n*n/(n/((n**(3/8)/n)/n)*n))/n*n)**(6/13) assuming n is positive.
n**(-3/4)
Simplify d**(-28)*d*d**7/d assuming d is positive.
d**(-21)
Simplify (g**(-1/4))**(-4)*g**(2/3)/(g*g/(g/g**0)) assuming g is positive.
g**(2/3)
Simplify (b**(-7))**(-35) assuming b is positive.
b**245
Simplify (y**1*y*y/(y/y**3))**(2/43) assuming y is positive.
y**(10/43)
Simplify (g*g**(-19)*g*g)**(10/7) assuming g is positive.
g**(-160/7)
Simplify (x**(2/19))**(-1/7) assuming x is positive.
x**(-2/133)
Simplify (s**(-3/2)*s**(-7))**(4/35) assuming s is positive.
s**(-34/35)
Simplify (v/v**(9/4))/(v/(v/(v**(-40)*v))) assuming v is positive.
v**(151/4)
Simplify ((y/y**0)/y)**25/(y**(-6/7)*y*y**(-1/4)*y) assuming y is positive.
y**(-25/28)
Simplify (p/((p**4*p)/p))/(p**3*p) assuming p is positive.
p**(-7)
Simplify ((l/(l**(-9)*l)*l*l)/((l/l**(-4/9)*l)/l))/((l**3*l)/l*l)**(-50) assuming l is positive.
l**(1886/9)
Simplify (n*n*n**(-29)*n)**3 assuming n is positive.
n**(-78)
Simplify (u**(-2/3)*u**7/u*u)**(-38) assuming u is positive.
u**(-722/3)
Simplify z**(-34)/z**(13/7) assuming z is positive.
z**(-251/7)
Simplify ((p/(p**(-6)*p*p)*p)**33)**(3/44) assuming p is positive.
p**(27/2)
Simplify c**(-7)/(c**7*c)*(((c/(c/(c/(c*c**(2/7))*c)))/c)/c)**(1/7) assuming c is positive.
c**(-744/49)
Simplify ((b**(-7/6)*b*b)/b)**17 assuming b is positive.
b**(-17/6)
Simplify (f**(-5/4)*f)/((f*f/f**3)/f) assuming f is positive.
f**(7/4)
Simplify (g/g**(-5/2))/g*g**(10/11)*g assuming g is positive.
g**(97/22)
Simplify (k*k**(3/2)*k*k)**(-31) assuming k is positive.
k**(-279/2)
Simplify t**2*t**(-2/7)*t**(-1/3)/t*t**(-3/4) assuming t is positive.
t**(-31/84)
Simplify ((h*h**(-2/3)/h*h)/h)**(-26)/((h/(h/(h*(h*h*(h**5*h)/h*h*h)/h)))/h*h*h*h/h**2*h*h*h) assuming h is positive.
h**(16/3)
Simplify ((p**(-1)/p)**(-26))**(-1/10) assuming p is positive.
p**(-26/5)
Simplify (i*i**(-1)*i*i/(i**6/i*i))/((i*(i/i**5)/i*i)/(i/(i*i**(2/7))*i)) assuming i is positive.
i**(-2/7)
Simplify (s**(-3/5)*s)**40/(s**(4/3)/s**(-10)) assuming s is positive.
s**(14/3)
Simplify (o*o**5*o*o*(o/o**(3/4)*o)/o)**(-1/61) assuming o is positive.
o**(-33/244)
Simplify (b/(b*b**(-3)))/(b*b*b**1*b)*b**2*b*b**8*b assuming b is positive.
b**11
Simplify (d*d**17*d)/(d*d/((d*d**(2/55))/d)) assuming d is positive.
d**(937/55)
Simplify (i**(-16))**(1/13) assuming i is positive.
i**(-16/13)
Simplify ((z/(z**(-2/7)*z))**(-13/4))**39 assuming z is positive.
z**(-507/14)
Simplify o**(31/4)/(o*o**(-12/7)) assuming o is positive.
o**(237/28)
Simplify (o*(o**0*o)/o*o*o*o*o*o*o/o**2)**19 assuming o is positive.
o**95
Simplify (((k/k**(-5/2))/k)/(((k/(k*k/k**12))/k)/k))**(4/13) assuming k is positive.
k**(-2)
Simplify w*w/(w/(w/(w**(-1/4)*w)))*w*w**(-4/3)*(w*(w**(2/9)*w)/w)**42 assuming w is positive.
w**(209/4)
Simplify z*z*z**3*z*z*z*z**(-1/10)/z*z*z**3*z/z**(-8)*z*z assuming z is positive.
z**(219/10)
Simplify (c**14)**(2/17) assuming c is positive.
c**(28/17)
Simplify ((x/(x/(x/(x*x**0*x))*x))**(1/31))**(-33) assuming x is positive.
x**(66/31)
Simplify (j**(4/7)*j)/j**9 assuming j is positive.
j**(-52/7)
Simplify (((d*d/(d/(((d/d**(-5))/d)/d*d))*d)/d)/d**(1/6))/(d*(((d**(-1)/d*d)/d*d)/d)/d*d*d*d)**(6/7) assuming d is positive.
d**(209/42)
Simplify ((n**(-1/6)/n)/n*n)/n*n*n**(-3/10)*n*n*n**(1/4)/n*n*n*n**(-7)*n assuming n is positive.
n**(-253/60)
Simplify ((f**(-1/3)*f*f)/f*f/((f*f**6/f)/f))**(5/7) assuming f is positive.
f**(-50/21)
Simplify (f**(-3))**(-14) assuming f is positive.
f**42
Simplify (u**(-1))**(-27)/(u**(-5
|
{
"pile_set_name": "DM Mathematics"
}
|
t u(y) = -y**3 + 22*y**2 - 19*y - 39. Let o be u(z). What is t(o)?
13
Let r(x) = x**2 - 8*x - 15. Let l be r(10). Suppose 2*n - 14 = -3*g + 12, l*n = 5. Let v(a) = 4*a + 1 - 4*a + g*a**2. Give v(-1).
9
Let c(u) = -u**3 + 13*u**2 + 31*u - 14. Let l be c(15). Let m be 22 - 26 - (l - 7). Let t(f) = -f**3 - f**2 + f - 1. Determine t(m).
-11
Let u(r) = -2*r**2 + 1174*r**3 + 1211*r**3 - 2 - 2378*r**3 - 8*r. What is u(-2)?
-50
Let a(q) = -2*q**2 + 15*q - 2. Let u be a(7). Suppose 0 = -l - 5, -39 = 2*y - 0*y + u*l. Let d(n) = n + 8. What is d(y)?
1
Let c be ((-8)/10)/((-16)/(-80)). Let g be (-2 - c - 0) + 1. Let z(x) = 5 - 12 + 2 - g*x + 6. What is z(-3)?
10
Let u(t) = 3*t + 11. Let l be (4/(100/(-75)))/(1/2). Determine u(l).
-7
Suppose -803*m = -810*m + 14. Suppose -5*n = 2*d + 6, 0*n + 12 = 3*n - 4*d. Let x(v) = -m*v + 5 + 3*v + n - 11. Calculate x(0).
-6
Let v(m) = -m**2 - 7*m + 12. Let y(q) = -q**2 - 10*q + 30. Suppose -15*p = 220 - 25. Let d be y(p). Calculate v(d).
-6
Suppose -3*b + 2*b + 2 = 0. Let d(z) be the third derivative of -25*z**2 + 1/24*z**4 + 0 + 0*z - 1/3*z**3. Calculate d(b).
0
Let p(n) be the third derivative of -n**4/12 + 20*n**3/3 + 1731*n**2. Determine p(11).
18
Let u(l) be the third derivative of l**4/24 - 5*l**3/6 + 38996*l**2. Let j = -12 - -20. Calculate u(j).
3
Let m(v) be the first derivative of -1/2*v**2 - 16*v + 78. Give m(0).
-16
Let b(u) = 16 + 21*u - 33*u + u**2 - 3. Determine b(8).
-19
Let b be (678 + -675)*20/6. Let z(d) = 3 + 4 + d**2 + 2*d - 13*d. What is z(b)?
-3
Let y(q) = -91445*q**3 - 5 + 2 - 5*q - 91461*q**3 + 182907*q**3 + 6*q**2 - 5*q - 4. Suppose 21 = -2*l - l. Calculate y(l).
14
Suppose -4*b - 6 = 2. Let u(n) be the second derivative of n**3/3 + 207*n - 11. Determine u(b).
-4
Let y(u) = 6. Let x(k) = -1. Let m(s) = 5*x(s) + y(s). Let d(r) = -2*r**2 - r - 8. Let l(b) = -d(b) - 6*m(b). Let z be 18 - 1015/56 - 17/(-8). Calculate l(z).
12
Let b(w) be the third derivative of -w**6/120 + w**5/60 - w**4/12 + 31*w**3/6 - 53*w**2. Let d(m) be the first derivative of b(m). What is d(2)?
-10
Let g(w) be the first derivative of -9*w**2 - 52*w - 1287. Calculate g(-3).
2
Let t(s) = 15*s - 132. Let m be t(9). Let j(f) = 6*f**2 - f**2 - 28*f + 2*f**m - 3*f**3 + 33*f. Calculate j(6).
-6
Suppose 3*g = -3*c, -3*g = -5*c - 13 - 19. Let o(b) = b. Suppose 2*t = -0*t + 2. Let x(a) = -a**2 + 3*a - 6. Let r(u) = t*x(u) + 2*o(u). Calculate r(g).
-2
Let f be 3 + 0 + 1 + -2. Suppose 3*q + f*o + 7 = 0, -4*q + 0*q = o + 11. Let n be 6 + q - (3 - 0). Let k(i) = -i + 3. Calculate k(n).
3
Let d be -5 + 2*1/2. Let p(s) = 5*s - 35. Let m be p(20). Let u(j) = 69*j - 30 + 32 + j**2 - m*j. Calculate u(d).
2
Let d(s) be the first derivative of -2*s**4 - s**3/3 + s**2/2 - 8*s - 101. Let a(j) = 7*j**3 + 6. Let w(r) = -6*a(r) - 5*d(r). What is w(3)?
-20
Let z(l) = -l**3 - 7*l**2 + 11. Suppose -4*t = -6*f - 2, 3*t + 3*f + f + 41 = 0. Give z(t).
11
Let h(c) = -3*c**2 - 3*c + 250 - 250. Suppose 5*k + 4*n - 17 = 0, 4*k - 18 = 2*k + 4*n. Suppose -i + 2 = k. Give h(i).
-18
Let m(o) be the second derivative of 0*o**2 - 1/180*o**6 + 0*o**3 + 1/40*o**5 + 7/6*o**4 + 0 + 7*o. Let a(s) be the third derivative of m(s). Calculate a(2).
-5
Let w(z) = 3*z**3 - z**2 - 21*z + 21. Suppose 36*y - 219 = -183. Determine w(y).
2
Let f(s) be the first derivative of s**4/2 - 5*s**3/3 + s**2 - 6*s + 63. Determine f(3).
9
Suppose 230*m - 4*k - 7 = 227*m, 2*m + k - 1 = 0. Let t(g) = 16*g**2 - 2*g - 1. Calculate t(m).
13
Suppose 19 = -8*r + 131. Let q(h) = 13*h + 21 - 39*h + 12*h + 13*h. Calculate q(r).
7
Suppose d - 61*y + 26 = -56*y, 36 = -4*d + 3*y. Let g be -2*(1 - (4 - 2)). Let l be (d/12)/(g/(-24)). Let h(t) = -t + 11. Determine h(l).
5
Let t(k) = -9 + 3 - 15 + 6 + 63*k - k + 2*k**2. Calculate t(-31).
-15
Let o = 7797 - 7795. Let z be (-38)/(-6) - (-4)/6. Let p(b) = -20*b**o + 1 + 16*b**2 - z*b**2. Calculate p(1).
-10
Let a(l) = -2*l**2 - 23*l + 23. Let v(o) = -12*o**2 - 2*o + 2. Let g be v(1). Let i be a(g). Let j(p) = -8 - p + i - 8. Determine j(-5).
0
Let o(w) be the third derivative of -w**6/120 + 5*w**4/24 - 5*w**3/6 + w**2. Let p = 516221 - 516219. Calculate o(p).
-3
Let h(t) = 5*t - 7 - 2017*t**2 + 2018*t**2 + 8 + t. What is h(-5)?
-4
Let x = -714 + 704. Let s(r) = -3*r**3 - 30*r**2 + 5. Let u be s(x). Let n(m) = 3*m - 9. Determine n(u).
6
Let r be -8*(-63)/36*4/7. Let b(c) = -2*c**3 + 24*c**2 - 7*c + 8. Let m(a) = -3*a**3 + 38*a**2 - 11*a + 12. Let q(g) = r*b(g) - 5*m(g). What is q(2)?
2
Let j(x) = 31 + 28 - 8*x - 87 + 30. Suppose 0 - 2 = -n. Determine j(n).
-14
Let z(l) = 205*l**3 - 42*l**3 - 4*l + 7 - 21*l**2 - 162*l**3. Determine z(21).
-77
Let k(m) = -2*m - 5 + 10 - 5*m**2 + 20*m. Let x(j) = 4*j**2 - 15*j - 4. Let p(t) = -3*k(t) - 4*x(t). What is p(3)?
10
Let r(y) be the second derivative of -159 + 5/6*y**3 - 2*y - 4*y**2. Determine r(6).
22
Let x(u) = -6149*u - 61 + 38 - 91 + 6138*u. Determine x(-13).
29
Let t(j) be the second derivative of -j**4/12 - 13*j**3/6 - j**2 + 8779*j. Suppose r + 4*x = -2*r - 24, -2*x + 6 = 0. Calculate t(r).
10
Let q(a) = -16*a**2 + 0 - 19*a + 12*a**2 - 5 + 9*a**2 - 3*a**2. Give q(13).
86
Let c(a) = -2*a - 8. Suppose 0 = -4*y - 2 + 10. Let d be c(y). Let z(f) = -f**2 - 13*f - 14. Give z(d).
-2
Let a(g) = -12*g**2 + 7*g + 6. Let i be a(1). Let q(b) = 9*b**2 - 2*b + 2. Determine q(i).
9
Let w(g) = 5*g - g - 1 + 0*g - 5*g**2 - g**3. Let d(b) = -b - 7. Let a be ((-7)/(-6) - (-12)/(-8))*3. Let u be d(a). What is w(u)?
11
Suppose 0 = 2*b - 4*b + 2. Let i(p) = p**2 + 4*p. Let v be i(b). Let a(n) = n**3 - 5*n**2 + 3*n + 4. Calculate a(v).
19
Let b(n) = 6*n**3 + 2*n - 1. Let f(l) = 3*l**3 - 5*l**2. Let s be (-8)/(-6)*12/8. Let d be f(s). Suppose d = -p + 5. Determine b(p).
7
Let s be (-3 + -1)*(1 - 2). Suppose 4*l + 4*c - 28 = 0, -3*l - 2*c = -s*l - 8. Let n(i) = 10*i - i**l - 18*i + 10*i + 4*i + 4. Calculate n(7).
-3
Let p be 24/16*(-4)/(-6). Let a(z) = -7*z**3 + 3*z**2 + 3*z + 9. Let n(o) = 2*o**3 + o**2 - 2*o - 1. Let b(s) = p*a(s) + 3*n(s). Calculate b(4).
26
Let i(v) = 479*v - 12 - 1444*v + 487*v + 479*v. Let t = 6 + 0. Determine i(t).
-6
Let u(r) = 3*r - 95. Let n(o) = 6*o - 171. Let q(v) = 5*n(v) - 9*u(v). Let j(y) = -y. Let w be j(2). Calculate q(w).
-6
Suppose -4*h - 28 = 4*w + w, 6*w = -3*h - 30. Let a(x) = -9*x**3 + x**2 - 2*x + 1. Determine a(h).
81
Let o be -15 - (-7 + -4)/1. Let z(f) = -19*f + 16*f + 2*f**2 + 4 + f**2 + f**3. Determine z(o).
0
Suppose -52 = -2*b - 46. Let o(h) = 1 + 25*h + 3 - 20*h + h**b - 7*h**2. Determine o(6).
-2
Let t(j) = -2*j - 12. Let u(l) = -l - 6. Suppose -26*r + 24*r - 6 = 0. Let g(c) = r*t(c) + 7*u(c). What is g(-9)?
3
Let g(q) = -q**2 + 14*q + 249. Suppose t - 98 = -821*a + 817*a, 2*a = 4*t + 40. Determine g(a).
9
Let y be 22/429*13 + 20/6. Suppose y*u - q - 7 = -6, 0 = -3*q + 9. Let h(t) = t - 1. Let g(a) = a**2 + 5*a - 6. Let z(k) = g(k) - 5*h(k). Calculate z(u).
0
Let h(f) = -8*f - 1 - 3*f + 13*f + 3*f + 0*f. What is h(-2)?
-11
Let r(s) = 25*s + 179. Let p(t) = -6*t - 43. Let k(u) = 13*p(u) + 3*r(u). What is k(-11)?
11
Let i be 3 + (-6 - 1) - (-29 - 195/(-13)). Let g be (-1)/(-2) + 1/2. Let r(s) = -s + 10*s**2 - g - s**3 - 13 + 3*s. Give r(i).
6
Let o(q) = 34*q - 5*q**2 - 308*q**3 + 136*q**3 - 12 + 171*q**3. What is o(-9)?
6
Let n(k) be the second derivative of -13*k**3/3 - 204*k**2 + 1131*k. Calculate n(-16).
8
Let u(g) = -171*g - 44. Let x(v) = -99*v - 21. Let y(r) = -4*u(r) + 7*x(r). Give y(9).
-52
Let o(i) be the second derivative of i**4/12 + 2*i**3 - 6*i**2 + 2*i. Suppose -t = -84*f + 80*f + 5, 5*f + 10 = 0. What is o(t)?
1
Let h(j) = j**3 - 6*j**2 - 2. Let l(y) = 24 + 11 + 90 + 5870*y - 5863*y. Let a be l(-17). Give h(a).
-2
Let m be -7*(-1)/(-2)*-2. Let q = m + 0. Let f(x) = 13 - 5 + q*x + 3 - 3 + x**2. What is f(-7)?
8
Let w(p) be the first derivative of -4 + 4*p**2 + 1/3*p**3 - 4*p. Let u(s) = 1. Let z(a) = u(a) - w(a). Calculate z(-5).
20
Let r(q) be the second derivative of -q**5/10 - q**4/2 - q**3/3 + 3*q**2 + 202*q + 4. Calculate r(-4).
46
Let r = -238 - -233. Let q(m) = m**2 + 6*m + 7. Determine q(r).
2
Suppose -2*m - 4*m + 102 = 0. Suppose -m + 5 = 2*f. Let o(y) be the third derivative of y**4/24 + 5*y**3/6 - 32*y**2 + 1. Calculate o(f).
-1
Let y(j) = -2*j**3 - 25*j**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
-3. Sort y, -3, u in ascending order.
-3, u, y
Let z = 0.5 + -5.5. Let i = 57 - 229/4. Put z, i, 4 in decreasing order.
4, i, z
Let z be 72/130 - 2/5. Sort -7, z, 5 in descending order.
5, z, -7
Let u(g) = g**2 - 2*g - 8. Let x be u(4). Suppose o + 2*j - 22 = -2*j, x = -2*o - 2*j + 14. Put o, -2, 5 in increasing order.
-2, o, 5
Suppose 0*i + 9 = 2*g - 3*i, 4*g + i - 11 = 0. Let p be 1/g - 11/(-3). Sort 5, -4, p.
-4, p, 5
Let q be (36/8 + -4)*1. Put -3, -2, q in decreasing order.
q, -2, -3
Suppose 5*q + 12 - 37 = 0. Sort q, -4, -1, 0 in descending order.
q, 0, -1, -4
Let p = 22 - 24. Let x = -4.9 - -0.9. Put x, 0.5, p in increasing order.
x, p, 0.5
Let p = 3.5 - 3. Let t = 63/26 - 2505/1066. Let b = t - -137/369. Sort b, -2/15, p.
-2/15, b, p
Suppose -b + 4*y = 11, 4*b - 2 = -4*y + 14. Let i be (b/(-2))/((-10)/20). Let h = 4 - 6. Put 2, h, i in decreasing order.
2, i, h
Let w = 0.08 - 0.08. Let j = w + -0.2. Let l = j - 0.2. Sort 4, l, 0 in decreasing order.
4, 0, l
Let w(j) = 3*j + 1. Let f be w(-2). Sort 4, -1, f in increasing order.
f, -1, 4
Let f = 2/21 - 76/357. Sort 0, f, -4 in decreasing order.
0, f, -4
Let g = 3 - 3. Let f(t) = -7*t + 2. Let q be f(-2). Suppose 5*p + 5*j - 15 = 0, 0*j - q = -4*j. Sort p, g, -4 in decreasing order.
g, p, -4
Let o(n) = -n**3 - 2*n**2 + 5*n + 2. Let d be o(-3). Suppose 2*u = 4*u - 6. Suppose 5*w + p = u*p + 29, 4*p - 12 = -4*w. Put d, w, -1 in descending order.
w, -1, d
Let i = -3.2 - -0.2. Put 1/3, i, -0.3 in increasing order.
i, -0.3, 1/3
Let h = 0.4 + 1.6. Let q = -4.11 - -4.61. Sort h, q, -2/9 in decreasing order.
h, q, -2/9
Suppose 2*m = -2*m + 8, -5*j = -5*m + 25. Let w = -732 - -730. Let s be 2/4*(1 - -1). Put w, s, j in decreasing order.
s, w, j
Suppose y = 3*x - 13, 2*x = 5*y - x + 17. Let o be 3 - 4 - (1 + y). Let c(l) = 3*l**2 + 1. Let w be c(1). Put w, o, 5 in decreasing order.
5, w, o
Let k = -24.93 + 25. Put k, 1, -2/5 in increasing order.
-2/5, k, 1
Let m = -5 - -9. Let r be 4 - (m + -2 - 1). Suppose 0 = -5*v + 3*w + 4, -2*v = -2*w - w - 7. Sort r, v, -5 in increasing order.
-5, v, r
Let d = -4/15 + 22/195. Sort 0.4, -2/3, d in ascending order.
-2/3, d, 0.4
Suppose -2*f - 7 + 1 = -3*u, -2*u = 5*f - 23. Let h = f + -6. Suppose 0 = 2*c, -v - 2*c = 2*c + 1. Put v, -5, h in descending order.
v, h, -5
Suppose g - 124 - 41 = 0. Let h be (-5)/(g/(-27)) + -1. Sort 4/7, h, -2/13 in descending order.
4/7, -2/13, h
Let j = -12.1 - -7.1. Let b = 120467/36 - 3347. Let k = 4/9 + b. Sort -1, j, k in ascending order.
j, -1, k
Let s be ((27/15)/3)/((-84)/(-280)). Let t = -9 - -5. Put t, -2, s in ascending order.
t, -2, s
Suppose -h + 5*f - 9 = 0, 3*h = 4*f - 0*f - 16. Let x = -6 - -3. Let g be h/(-6) + (-13)/x. Sort 2, g, 3 in decreasing order.
g, 3, 2
Let o = 0.06 + -0.09. Let x = o - -3.03. Let g = -2 + x. Sort 2, g, -1/3 in ascending order.
-1/3, g, 2
Let j(r) = -r**3 + r**2 + 3*r + 3. Let f be j(-2). Let g be -6 + f + -1*7. Sort g, -5, -2.
-5, g, -2
Let v(p) = -2*p - 7. Let n be v(-6). Let d = n - 5. Suppose -14 = 3*b + y - 3*y, 3*b + y + 2 = d. Sort 2, b, -4 in descending order.
2, b, -4
Suppose -3*y = -85 - 35. Let k be ((-3)/2)/(30/y). Suppose 0*c - 5*c + 5 = 0. Sort c, 5, k in decreasing order.
5, c, k
Let w = -30 + 35. Sort w, -3, -4 in descending order.
w, -3, -4
Let u(p) = -p**3 + 4*p**2 + 6*p - 6. Let z be u(5). Let m = 64 - 63. Sort z, 5, m.
z, m, 5
Let w = -1.2 + 1.12. Let d = -0.08 - w. Sort d, -0.1, -1/4 in descending order.
d, -0.1, -1/4
Suppose -7*i + 3*i = 0. Let v(s) = s**3 - 14*s**2 + 24*s - 1. Let l be v(12). Put l, i, -2 in ascending order.
-2, l, i
Let o = 0.07 - -3.93. Let y = -0.01 + 0.21. Let j = -0.1 - -0.1. Put y, o, j in increasing order.
j, y, o
Let p = 77 + -77.3. Sort 2/13, p, -2/15, -4/5 in increasing order.
-4/5, p, -2/15, 2/13
Let o = -87.04 + 87. Put 0, 2/13, o in descending order.
2/13, 0, o
Let i be (3/(-2) - (-5 - -3))*-4. Put 17, i, 0 in decreasing order.
17, 0, i
Let r(j) = j**2 + 1 + j + 2*j + 0*j + 0*j**2. Let b be r(-3). Suppose 5 = 2*f - b. Sort 0.2, f, 5 in descending order.
5, f, 0.2
Suppose 0 = 4*y - 3*y, 4*y = 3*n - 9. Sort -2, 1, n in increasing order.
-2, 1, n
Let z(i) = -i - 1. Let j be z(1). Let m be (-2 - -1 - 0) + 3. Suppose -m*y - y - 9 = 0. Sort y, 5, j in increasing order.
y, j, 5
Suppose -2*i = 2*p + 14, -3*i + 1 = -5*p - 2. Sort p, 4, -1, 3.
p, -1, 3, 4
Let k = -0.41 - -0.4. Let o = -176 + 175.01. Let n = o + k. Sort -3, 4, n in descending order.
4, n, -3
Suppose -5*w = 51 + 14. Let y(o) = o**3 + 3*o**2 - o. Let t be y(2). Let c = t + w. Sort 2, -4, c in descending order.
c, 2, -4
Let c = -10 - -15. Sort 4, c, 1 in descending order.
c, 4, 1
Let d = 36 + -31. Put d, -1, 0, -7 in decreasing order.
d, 0, -1, -7
Let l(p) = p**2 + 4*p. Let b be l(-4). Let y be (-1)/7 - 66/(-21). Let n = 2 - -2. Put y, n, b in descending order.
n, y, b
Let o be 12/(-16) - (-1)/(-2 - -3). Suppose 4*j - 12 = 4. Put o, j, 1/6 in decreasing order.
j, o, 1/6
Let d(a) = a - 10. Let o be d(7). Let i be (4/(-30)*o)/(-1). Sort i, 2, 0.4.
i, 0.4, 2
Suppose 0 = -2*k + 3*k + 3. Sort -4, k, 0 in decreasing order.
0, k, -4
Let i be (-5 - -6)/(2/(-4)). Let m be (i - 0)/(-1) - 3. Put m, -4, -2 in descending order.
m, -2, -4
Let s = -28 - -30. Sort -3, -0.2, s in descending order.
s, -0.2, -3
Let u(t) be the third derivative of -t**4/6 - t**3/6 + 3*t**2. Let v be u(-1). Let x = -4 - -6. Sort v, -2, x in decreasing order.
v, x, -2
Let g(f) = 2*f - 22. Let n be g(12). Put -5, n, -11 in descending order.
n, -5, -11
Let g = -1.7 + 1.6. Let z be -1 - 9/(-5) - 1. Put z, g, 4 in descending order.
4, g, z
Suppose 3*a + 10 = -5*q, 5*a - 5 = -4*q - 0*q. Let y = -5 - -2. Put q, y, 3 in ascending order.
q, y, 3
Suppose -f = 4*h - 13, 4*h - f - 9 = 2*f. Sort h, 5, 4 in increasing order.
h, 4, 5
Let m(t) = t**3 - 7*t**2 + 7*t - 4. Let p be m(6). Suppose p = 2*l, -2*h - 2*h + 4*l = 16. Suppose -10 = -4*d + 6. Sort d, h, -2/3 in ascending order.
h, -2/3, d
Let i(m) = -m**2 - 5*m - 1. Let s be i(-5). Suppose 0 = -4*n + 5*z + 22, 0 = -5*n - 3*z + 6 + 3. Sort s, n, -5 in decreasing order.
n, s, -5
Suppose 0 = -2*c + 6*c - 2*l + 6, 0 = 2*c + 3*l - 1. Suppose 0 = 4*f - x + 37, x = -3*f - 7 - 12. Let w = -12 - f. Sort c, 0, w in ascending order.
w, c, 0
Let o(k) = 2*k - 4*k**2 + 5*k**2 + k. Let m be o(-2). Suppose 2 = -2*b + 6. Put -3, b, m in ascending order.
-3, m, b
Let p = 0.6 + -0.6. Let r = -0.23 - 0.07. Let y = p - r. Put -2, -2/5, y in increasing order.
-2, -2/5, y
Let b = 18 + -13. Sort b, -9, -4 in decreasing order.
b, -4, -9
Let m(w) = w**2 - 6*w + 2. Let y be m(4). Let n(g) = -g + 5. Let f be n(6). Put y, 2, f in decreasing order.
2, f, y
Let c be ((-2)/20)/(1 + 0). Let u be 46/(-14) - (-6)/21. Let r be u/(-15) + (-3)/(-35). Sort r, c, -0.3 in decreasing order.
r, c, -0.3
Let x be -2 + 1 - (1 - 4). Suppose -3*o - 1 = 5. Sort x, -3, o.
-3, o, x
Suppose -4*o = -6*o. Let i = -1 + 0.8. Put o, -1, i in decreasing order.
o, i, -1
Suppose 3*m - 4*r = 2*m + 7, -3*m + 2*r + 11 = 0. Let q be 0 - m - (5 + -7). Sort 3, q, -2 in decreasing order.
3, q, -2
Let x be (-21)/(-28) - (-1)/4. Sort x, 3, 4 in ascending order.
x, 3, 4
Let n = 5 - 1. Let k = 11 + -4. Sort n, k, -3 in descending order.
k, n, -3
Let a be (2 + 0)*27/(-6). Let j = -13 - a. Sort 3, 5, j.
j, 3, 5
Suppose 2*g + 16 - 30 = 0. Sort g, 2, -5 in increasing order.
-5, 2, g
Let n = -58 - -55. Sort 4, 2/13, n, 0.3 in decreasing order.
4, 0.3, 2/13, n
Suppose k - 8 = -3*k. Let d(c) = c - 1. Let q be d(k). Sort -5, -3, q in descending order.
q, -3, -5
Let q = -0.2 + -2.8. Let f = 20 - 22. Let g be (-6)/(-21) - f/(-56). Put g, 5, q in ascending order.
q, g, 5
Let t = -3 - -3.55. Let s = t - 0.05. Put s, 3, -4/7 in descending order.
3, s, -4/7
Let g be 5*6*(-3)/(-30). Let h be ((-4)/6 - -2)*-3. Sort -5, h, g in decreasing order.
g, h, -5
Suppose -3*w + 28 = 4*w. Put -3, w, -1 in decreasing order.
w, -1, -3
Suppose -g - 3 = 4. Sort -4, g, 1 in decreasing order.
1, -4, g
Suppose -16 = 12*v + 32. Sort 1, v, 16.
v, 1, 16
Let p = 2.98 - -0.02. Sort 1, 0, p in increasing order.
0, 1, p
Let n = 5 - 2. Let d = -2.7 + n. Let u = -3 + 7. Sort u, 1/5, d in decreasing order.
u, d, 1/5
Let s = -0.03 - -0.07. Let z = s + 1.96. Let q = -10 + 5. Sort z, 5, q in incr
|
{
"pile_set_name": "DM Mathematics"
}
|
95. What is c(-4)?
-7
Let z(f) = -f**3 + 157*f**2 + 397*f - 12563. What is z(159)?
-2
Let o(k) = -65*k + 15921. Determine o(249).
-264
Let h(a) = -11*a**3 + 4*a**2 + 208*a - 1167. What is h(5)?
-1402
Let y(u) = -136*u - 1684. Give y(-11).
-188
Let l(f) = -4*f**2 - 225*f + 1390. Calculate l(6).
-104
Let t(s) = -358*s - 5344. Give t(-15).
26
Let o(l) = 175539*l - 2106477. What is o(12)?
-9
Let p(s) = 2*s**2 - 37*s + 66. What is p(31)?
841
Let z(y) = 3*y**3 + 81*y**2 - 84*y - 6. Calculate z(-28).
-6
Let l(c) = 41*c**3 + 370*c**2 - 191*c - 1767. Calculate l(-9).
33
Let o(k) = -22*k**3 - 285*k**2 + 15736*k - 209. Calculate o(-34).
-5
Let d(b) = 227*b + 13456. Calculate d(-66).
-1526
Let y(q) = -7*q**3 - 702*q**2 + 2701*q - 340. Determine y(-104).
-28
Let r(x) = -x**3 - 63*x**2 - 442*x + 119. Give r(-55).
229
Let t(b) = 5*b**3 + 32*b**2 - 3090*b - 24213. What is t(-8)?
-5
Let u(d) = -197*d**3 - 2276*d**2 + 1051*d - 50. Give u(-12).
10
Let o(w) = w**3 + 208*w**2 + 1458*w + 10051. What is o(-201)?
-200
Let k(f) = -9*f**2 + 716*f + 24664. Give k(-26).
-36
Let h(q) = -q**2 - 77*q - 1423. Calculate h(-26).
-97
Let u(t) = 166*t - 4938. Calculate u(38).
1370
Let u(b) = b**3 + 8*b**2 - 23*b - 86. Determine u(-10).
-56
Let d(p) = -p**3 + 63*p**2 + 28784*p + 2844. Calculate d(-141).
24
Let m(t) = -240*t**2 - 3600*t - 41. Determine m(-15).
-41
Let c(a) = a**3 - 28*a**2 - 23*a - 140. What is c(29)?
34
Let f(g) = 747*g + 1543. Give f(-1).
796
Let h(l) = 89*l + 4428. Give h(-50).
-22
Let l(x) = 328*x**2 + 358*x + 353. Calculate l(-1).
323
Let o(p) = 7*p + 468. What is o(30)?
678
Let l(y) = -59*y**2 - 684*y + 272. What is l(-12)?
-16
Let s(c) = 164*c + 2603. Calculate s(-17).
-185
Let a(w) = -19*w**2 + 9552*w - 91163. Determine a(493).
42
Let j(m) = -52*m - 2993. Calculate j(-81).
1219
Let i(v) = -2*v**2 - 98*v - 204. Give i(-38).
632
Let a(o) = -19470*o - 8936726. Calculate a(-459).
4
Let b(v) = v**2 - 44*v + 11. Determine b(-32).
2443
Let b(m) = 10*m**3 + 186*m**2 + 19*m - 421. Give b(-18).
1181
Let u(y) = 199*y**2 + 20*y + 2. What is u(-1)?
181
Let h(r) = 574044*r + 4592329. Calculate h(-8).
-23
Let m(s) = s**3 - 208*s**2 - 856*s + 1582. Calculate m(212).
-114
Let i(n) = -n**3 + 37*n**2 + 116*n - 2473. What is i(38)?
491
Let v(l) = l**3 - 148*l**2 - 4525*l - 18. Give v(-26).
8
Let a(i) = 102*i**2 + 84916*i + 43279. Give a(-832).
15
Let h(x) = -3126*x - 26135. Calculate h(-8).
-1127
Let u(l) = -9*l**2 - 18*l - 519. Determine u(-16).
-2535
Let m(q) = q**3 + 200*q**2 + 398*q + 337. Determine m(-198).
-59
Let r(b) = -b**3 - 73*b**2 - 500*b + 132. Calculate r(-8).
-28
Let o(c) = -2*c**3 - 228*c**2 - 456*c - 957. Give o(-112).
-61
Let m(v) = -v**3 + 104*v**2 + 317*v + 226. Calculate m(-2).
16
Let x(z) = -z**3 + 271*z**2 + 3350*z + 13012. Calculate x(283).
-6
Let t(s) = s**3 - 6*s**2 - 3348*s - 9961. Determine t(-3).
2
Let j(t) = -2*t**3 - 291*t**2 - 428*t + 219. What is j(-144)?
-357
Let v(j) = 9*j**2 + 379*j + 5030. Calculate v(-14).
1488
Let y(c) = -35785*c + 4544684. Determine y(127).
-11
Let x(i) = 3957*i - 1131695. Give x(286).
7
Let m(u) = -6*u**2 - 458*u + 508. What is m(-78)?
-272
Let c(n) = -n**3 + 11*n**2 - 2937*n + 32308. What is c(11)?
1
Let l(z) = -7*z**2 + 2002*z - 6002. What is l(3)?
-59
Let u(d) = 23*d + 1031. What is u(-44)?
19
Let v(m) = -20002*m - 800077. What is v(-40)?
3
Let r(z) = 1726*z + 272718. Calculate r(-158).
10
Let g(h) = -2112*h + 41960. What is g(20)?
-280
Let j(n) = n**3 - 5*n**2 + 675*n - 5605. Determine j(8).
-13
Let a(z) = -z**3 - 1193*z**2 - 7128*z - 48. Calculate a(-6).
-12
Let b(h) = 74*h**2 - 2657*h - 13252. Give b(-5).
1883
Let k(y) = 237461*y - 2612068. Give k(11).
3
Let p(s) = -2183*s - 17520. What is p(-7)?
-2239
Let b(u) = -13*u**3 - 248*u**2 - 23*u - 115. Calculate b(-19).
-39
Let m(u) = -506776*u - 3547430. Determine m(-7).
2
Let g(j) = -239094*j + 239087. Determine g(1).
-7
Let o(j) = -100*j - 1492. Determine o(-13).
-192
Let q(s) = -13*s**2 + 310*s + 641. What is q(-2)?
-31
Let f(r) = 2*r**3 + 753*r**2 - 2619*r + 15583. Determine f(-380).
3
Let t(v) = 311*v**2 + 14300*v - 267. Determine t(-46).
9
Let d(l) = l**3 + 71*l**2 + 57*l + 251. Give d(-70).
1161
Let c(o) = -6*o**2 - 256*o - 1450. Determine c(-13).
864
Let a(r) = 8*r**2 + 752*r - 5617. What is a(7)?
39
Let f(n) = 47*n**2 - 1555*n - 1454. Calculate f(34).
8
Let z(x) = -178343*x + 6777026. Give z(38).
-8
Let d(t) = -3*t**2 + 135*t + 91. Determine d(47).
-191
Let s(r) = 57388*r - 1090380. Determine s(19).
-8
Let s(v) = 1786*v + 171491. What is s(-96)?
35
Let n(z) = 9374*z + 8670961. Calculate n(-925).
11
Let p(z) = z**2 - 111*z + 312. Determine p(107).
-116
Let w(l) = l**2 - 1068*l + 262654. Calculate w(384).
-2
Let j(g) = 862*g - 254293. Give j(295).
-3
Let t(p) = -p**2 - 3948*p - 58878. Calculate t(-15).
117
Let l(h) = 733*h**3 - 2868*h**2 - 14. What is l(4)?
1010
Let l(f) = -30*f**3 - 10*f**2 - 11*f + 10. Calculate l(-3).
763
Let p(r) = -88*r**2 - 2126*r - 341. Give p(-24).
-5
Let v(g) = -g**3 + 179*g**2 - 173*g - 819. Determine v(178).
71
Let m(v) = -14*v**3 + 8*v**2 + 352*v + 2035. Give m(-6).
3235
Let v(z) = z**2 + 105*z + 1344. Calculate v(-90).
-6
Let s(w) = -2*w**3 + 87*w**2 - 237*w + 233. Give s(41).
-1079
Let r(c) = 3*c**3 - 16*c**2 - 801*c - 3560. Calculate r(-5).
-330
Let v(y) = y**2 - 150*y - 12302. Calculate v(-59).
29
Let h(p) = -123*p**2 - 710*p - 1143. What is h(-4)?
-271
Let f(i) = -1172*i + 185154. Calculate f(158).
-22
Let w(v) = 3*v**3 + 387*v**2 + 11669*v + 439. Give w(-81).
34
Let q(r) = r**2 - 213*r - 2300. Give q(-11).
164
Let q(v) = -1601*v - 60844. What is q(-38)?
-6
Let y(b) = -b**2 + 98*b - 1425. What is y(25)?
400
Let b(y) = 264*y**2 - 2474*y + 896. What is b(9)?
14
Let q(o) = 101*o**2 + 256*o - 34. What is q(-6)?
2066
Let l(d) = 2*d**2 + 327*d - 34636. Give l(-237).
203
Let u(c) = -c**3 - 116*c**2 - 214*c + 29. Determine u(-2).
1
Let u(j) = -63*j**2 - 7959*j - 2657. Give u(-126).
-11
Let p(v) = -v**2 - 804*v + 268696. Determine p(254).
-36
Let a(i) = 9212*i + 175035. Determine a(-19).
7
Let d(w) = 6658*w + 40018. Give d(-6).
70
Let n(y) = y**3 + 1741*y**2 + 61377*y - 81. Give n(-36).
27
Let b(s) = -3*s**3 + 227*s**2 + 43*s + 2482. Determine b(76).
-26
Let j(q) = 4994*q + 3782. Give j(-1).
-1212
Let q(o) = o**3 + 160*o**2 + 769*o + 175. What is q(-155)?
1105
Let a(r) = 2*r**2 - 20*r - 9063. Calculate a(-62).
-135
Let g(d) = -8220*d + 147944. Give g(18).
-16
Let a(y) = 18200*y + 1528722. Determine a(-84).
-78
Let p(r) = 82018*r - 656147. Determine p(8).
-3
Let m(u) = 2*u**3 - 211*u**2 + 288*u + 1359. Determine m(104).
-1137
Let z(j) = -48052*j - 480505. Determine z(-10).
15
Let z(a) = 18025*a - 234320. Determine z(13).
5
Let f(t) = t**3 - 30*t**2 + 124*t - 2766. Calculate f(29).
-11
Let f(g) = -g**3 + 3*g**2 + 81*g - 349. Give f(4).
-41
Let u(g) = -3*g**3 + 157*g**2 + 91*g + 592. Determine u(53).
-203
Let o(t) = 163153*t + 2447296. Determine o(-15).
1
Let g(t) = t**2 + 141*t - 11535. Give g(58).
7
Let t(a) = a**3 - 167*a**2 - 3158*a + 5609. What is t(184)?
89
Let u(m) = -632*m + 3064. Calculate u(5).
-96
Let w(l) = 1591*l**2 + 6365*l - 14. Determine w(-4).
-18
Let s(i) = 1694*i + 31743. Give s(-19).
-443
Let t(k) = -14*k**2 + 384*k + 6631. What is t(-12)?
7
Let h(l) = 9907*l - 3754753. Calculate h(379).
0
Let j(n) = 351*n + 50234. Calculate j(-143).
41
Let c(f) = f**3 - 3*f**2 - 15335*f + 76657. What is c(5)?
32
Let z(d) = d**2 - 1609*d + 369769. Determine z(278).
-249
Let f(a) = -61*a + 4552. What is f(74)?
38
Let l(n) = 2*n**2 - 1274*n - 674922. Calculate l(-344).
6
Let a(g) = 123*g**2 - 2012*g + 2011. What is a(1)?
122
Let m(q) = -96608*q - 1545729. Give m(-16).
-1
Let h(b) = 3*b**3 - 151*b**2 - 16904*b - 79. Give h(-54).
29
Let i(v) = -398*v + 39237. Give i(99).
-165
Let d(q) = -586*q + 1727. Determine d(3).
-31
Let q(b) = b**3 - 287*b**2 + 1815*b - 36255. Calculate q(281).
-6
Let g(q) = 280*q**2 + 2146*q - 5416. Give g(2).
-4
Let c(n) = -866*n + 252014. Give c(291).
8
Let g(a) = 367366*a + 367373. Calculate g(-1).
7
Let c(z) = 13322*z - 652752. Determine c(49).
26
Let m(c) = 169*c + 3041. Determine m(-18).
-1
Let q(h) = h**2 - 1291*h + 138398. Determine q(118).
-16
Let w(j) = 13435*j - 389610. Give w(29).
5
Let k(l) = 1123*l
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the smallest common multiple of 481 and 2161.
1039441
Calculate the common denominator of 61/153 and 45/1292.
11628
Calculate the smallest common multiple of 618 and 38430.
3958290
What is the least common multiple of 84 and 700973?
8411676
Find the common denominator of -11/746 and -73/16.
5968
Find the common denominator of -119/12 and -11/20920.
62760
Calculate the common denominator of -37/2485 and 44/35.
2485
What is the lowest common multiple of 1768 and 29070?
1511640
Find the common denominator of 21/8 and 51/1666742.
6666968
Calculate the common denominator of 73/2728 and 55/744.
8184
Find the common denominator of -95/34816 and 115/286.
4978688
What is the least common multiple of 60038 and 55?
300190
Calculate the common denominator of 52/10703 and -67/231.
32109
Find the common denominator of 127/9558 and 89/12.
19116
What is the lowest common multiple of 2778 and 252?
116676
What is the least common multiple of 11696 and 612?
105264
Find the common denominator of -5/20966 and 68/345939.
691878
What is the common denominator of 85/1584 and 43/3564?
14256
Calculate the common denominator of 25/8091 and -73/1392.
129456
Calculate the lowest common multiple of 586050 and 97675.
586050
Calculate the least common multiple of 7346 and 7346.
7346
Find the common denominator of 127/204 and -101/17784.
302328
What is the smallest common multiple of 1050 and 490?
7350
What is the common denominator of -27/715 and -29/460460?
460460
What is the least common multiple of 49926 and 848?
399408
Calculate the common denominator of -107/22 and 51/43126.
474386
Calculate the least common multiple of 132 and 144104.
4755432
Find the common denominator of -143/37200 and 41/744.
37200
Calculate the smallest common multiple of 2880 and 6.
2880
Find the common denominator of -67/800 and 29/1690.
135200
Calculate the common denominator of 16/13431 and 73/484.
53724
Calculate the lowest common multiple of 4008 and 10.
20040
Calculate the smallest common multiple of 2420968 and 13552.
33893552
Calculate the smallest common multiple of 4740 and 1975.
23700
What is the common denominator of 76/11427 and -41/58?
662766
What is the common denominator of -9/20 and 33/3909275?
15637100
Find the common denominator of 51/325 and 49/4381.
109525
What is the common denominator of 3/27656 and -25/193592?
193592
What is the least common multiple of 1810 and 201815?
403630
Calculate the lowest common multiple of 58366 and 77.
58366
Find the common denominator of 77/5044 and -79/585.
226980
What is the common denominator of -34/39 and -39/560?
21840
Calculate the common denominator of -31/290800 and -41/120.
872400
Calculate the least common multiple of 207080 and 3.
621240
What is the common denominator of 37/744 and -7/5274?
653976
What is the common denominator of 103/1416 and -17/6372?
12744
What is the common denominator of -51/108076 and -71/164?
108076
Calculate the common denominator of 89/17892 and 59/8064.
572544
Find the common denominator of 71/3147 and 56/267.
280083
Calculate the common denominator of 1/73 and 37/9.
657
Calculate the smallest common multiple of 35618 and 58.
1032922
Calculate the smallest common multiple of 35916 and 492.
35916
Calculate the smallest common multiple of 344324 and 2596.
3787564
What is the common denominator of 32/175133 and 23/591?
525399
What is the smallest common multiple of 3 and 79145?
237435
What is the common denominator of 26/109503 and 30/133837?
1204533
What is the lowest common multiple of 3766 and 468060?
3276420
Calculate the common denominator of -25/63 and 53/549.
3843
Calculate the lowest common multiple of 3587 and 272.
57392
What is the common denominator of -30/3199 and 6/427?
195139
What is the lowest common multiple of 1890 and 18?
1890
What is the common denominator of -21/172315 and -59/1159210?
12751310
Find the common denominator of 107/2090 and 7/33.
6270
Calculate the smallest common multiple of 640 and 26144.
522880
Calculate the common denominator of 22/1971 and 19/450.
98550
Find the common denominator of -81/16 and 99/8216.
16432
What is the common denominator of -17/1124100 and 59/28?
7868700
What is the least common multiple of 310 and 9145?
18290
Calculate the common denominator of -73/16132 and 37/2398.
177452
What is the common denominator of -1/1554 and 125/342?
88578
What is the smallest common multiple of 6963 and 106344?
1169784
Find the common denominator of 19/13112 and 29/78672.
78672
Calculate the lowest common multiple of 60 and 24372.
121860
Calculate the smallest common multiple of 16 and 12378.
99024
Calculate the common denominator of -24/245 and -197/6210.
304290
What is the common denominator of -37/1487538 and 77/57213?
1487538
Find the common denominator of -21/11395 and 77/36765.
1948545
What is the lowest common multiple of 2 and 4084?
4084
Calculate the lowest common multiple of 387 and 119196.
119196
Calculate the common denominator of 37/12045 and 58/132495.
132495
What is the smallest common multiple of 442320 and 7760?
442320
What is the common denominator of 74/189 and -127/30?
1890
Calculate the lowest common multiple of 14750 and 14.
103250
What is the smallest common multiple of 3088 and 326556?
1306224
Calculate the common denominator of -41/13704 and -97/135898.
1630776
Find the common denominator of 163/334992 and -23/392.
2344944
Calculate the common denominator of 34/15 and -103/11448.
57240
Calculate the smallest common multiple of 123213 and 30.
1232130
Find the common denominator of -7/2397 and -97/69122.
9746202
Calculate the lowest common multiple of 290 and 1730.
50170
What is the smallest common multiple of 4383 and 276129?
276129
Find the common denominator of 51/243956 and 49/8.
487912
Find the common denominator of 17/244720 and 123/244720.
244720
Calculate the smallest common multiple of 125085 and 807.
125085
Calculate the common denominator of 27/37828 and -53/26.
491764
What is the least common multiple of 12 and 22266?
44532
Find the common denominator of -16/3729 and 79/891.
100683
Calculate the common denominator of -87/55616 and 59/660.
834240
What is the smallest common multiple of 1684 and 770?
648340
Find the common denominator of -7/4 and 24/2539.
10156
What is the least common multiple of 278 and 3474?
482886
Calculate the smallest common multiple of 7 and 85134.
85134
What is the common denominator of -3 and 1/6659?
6659
Find the common denominator of -97/1184656 and -65/8128.
4738624
Find the common denominator of 61/105792 and -29/1824.
105792
What is the common denominator of 13/500 and -29/8000?
8000
Calculate the least common multiple of 1976 and 83980.
167960
What is the lowest common multiple of 1078 and 756?
58212
Calculate the common denominator of -23/828176 and -93/1084.
828176
Calculate the common denominator of -63/57620 and 133/60.
172860
Calculate the lowest common multiple of 5289 and 1333.
163959
Find the common denominator of -29/3376 and -15/30832.
6505552
Calculate the lowest common multiple of 21732 and 6.
21732
Calculate the least common multiple of 13476 and 39305.
471660
Find the common denominator of 27/55424 and -101/27712.
55424
Calculate the common denominator of -1/7303 and -23/71.
518513
Find the common denominator of -9/13382 and -10/6691.
13382
What is the common denominator of -52/5 and -33/763?
3815
What is the common denominator of 59/233361 and 61/5805?
1166805
Calculate the common denominator of 95/4368 and 103/420.
21840
What is the lowest common multiple of 26784 and 26784?
26784
What is the common denominator of 3/9307 and 31/1135?
46535
What is the least common multiple of 16500 and 2750?
16500
Calculate the least common multiple of 15966 and 8870.
79830
Calculate the smallest common multiple of 50 and 85050.
85050
What is the least common multiple of 825 and 340?
56100
Find the common denominator of -139/20352 and -64/15.
101760
What is the common denominator of -97/7514 and 37/4862?
82654
Calculate the least common multiple of 234603 and 2007159.
18064431
What is the least common multiple of 14948 and 2960?
298960
What is the common denominator of -89/252 and 31/50862?
305172
What is the common denominator of -32/3 and 71/24922?
74766
Calculate the common denominator of -161/1
|
{
"pile_set_name": "DM Mathematics"
}
|
195763*n**3 + 7780674*n**2 - 8374464*n - 15960672 = 0.
-1131, -84, -1, 2
Solve -25*o**5 + 140*o**4 + 3085*o**3 + 7060*o**2 - 6660*o - 3600 = 0 for o.
-6, -4, -2/5, 1, 15
Find v, given that -v**3/5 + 12626*v**2/5 + 55647*v + 265608/5 = 0.
-21, -1, 12648
Factor -2*z**2 + 5380*z + 16158.
-2*(z - 2693)*(z + 3)
Factor -7*x**3/2 - 92563*x**2/2 - 13223*x.
-x*(x + 13223)*(7*x + 2)/2
Find s such that -50*s**4/13 + 42954*s**3/13 - 216936*s**2/13 + 17080*s/13 = 0.
0, 2/25, 5, 854
Find q such that 52*q**2 - 16008*q - 2464 = 0.
-2/13, 308
Factor -4*m**4/3 - 1088*m**3 + 10980*m**2 - 82600*m/3.
-4*m*(m - 5)**2*(m + 826)/3
Factor 3*k**4 + 159*k**3 + 858*k**2 - 18576*k.
3*k*(k - 8)*(k + 18)*(k + 43)
Suppose -6591*c**5/5 + 313833*c**4/5 - 3142542*c**3/5 - 4758804*c**2/5 - 2259576*c/5 - 352512/5 = 0. Calculate c.
-6/13, 17, 32
Let -4*w**3/7 + 1001124*w**2/7 + 2002260*w/7 + 1001132/7 = 0. What is w?
-1, 250283
Suppose 5*t**2 + 2805*t - 28550 = 0. What is t?
-571, 10
Factor b**2 + 36987*b.
b*(b + 36987)
Find f, given that f**4/3 + 70*f**3 + 1433*f**2/3 + 812*f = 0.
-203, -4, -3, 0
Solve -3*b**4 + 1806*b**3 + 187020*b**2 + 4766850*b + 12666375 = 0 for b.
-45, -3, 695
Factor -9*k**2/4 - 5983*k/4 + 665/2.
-(k + 665)*(9*k - 2)/4
Factor -v**2/3 - 86150*v/3 - 1855455625/3.
-(v + 43075)**2/3
What is j in j**4/10 + 2229*j**3/10 + 248199*j**2/2 - 248645*j/2 = 0?
-1115, 0, 1
Solve 2*l**3 + 812202*l**2 + 82459417200*l + 82458605000 = 0 for l.
-203050, -1
Suppose -2*o**2 - 291660*o - 10633194450 = 0. What is o?
-72915
Factor j**2/3 - 87538*j/3 + 1915725361/3.
(j - 43769)**2/3
Suppose -450*m**4 - 31530*m**3 - 4201*m**2/2 - 35*m = 0. Calculate m.
-70, -1/30, 0
Factor x**2/5 - 20553*x - 205534/5.
(x - 102767)*(x + 2)/5
Factor 5*b**4 - 10215*b**3 + 5191680*b**2 + 26214400*b.
5*b*(b - 1024)**2*(b + 5)
What is t in -114337536*t**4 + 90607104*t**3 - 3709152*t**2 + 51840*t - 243 = 0?
3/212, 3/4
Factor -2*t**3 - 4540*t**2 - 22650*t.
-2*t*(t + 5)*(t + 2265)
Factor -5*y**2 - 472600*y - 11167538000.
-5*(y + 47260)**2
Solve -12*n**4 - 61936*n**3 - 79773352*n**2 + 373729104*n + 133437780 = 0 for n.
-2583, -1/3, 5
Suppose 50*z**3/7 - 134270*z**2/7 + 322032*z/7 - 193176/7 = 0. What is z?
6/5, 2683
Find p such that -19642*p**3/9 + 19646*p**2/9 - 4*p/9 = 0.
0, 2/9821, 1
Factor -r**3/2 + 710*r**2 + 1423*r/2 - 1421.
-(r - 1421)*(r - 1)*(r + 2)/2
Find b such that 2*b**3/7 + 50*b**2/7 - 1586*b/7 - 1634/7 = 0.
-43, -1, 19
Solve -2*q**2/9 + 5792*q/9 - 4193408/9 = 0 for q.
1448
Factor g**3/2 + 1425*g**2 + 76247*g/2 + 36699.
(g + 1)*(g + 26)*(g + 2823)/2
What is k in -12*k**4 - 8404*k**3 + 241816*k**2 + 87136*k - 163072 = 0?
-728, -1, 2/3, 28
Factor 3*z**3/7 + 273*z**2 - 63456*z/7 + 513792/7.
3*(z - 16)**2*(z + 669)/7
Factor 5*b**2 + 885*b + 16380.
5*(b + 21)*(b + 156)
Solve -2*j**4/5 + 724*j**3/5 - 998*j**2 + 1420*j = 0.
0, 2, 5, 355
What is i in 1552*i**5/15 + 1242*i**4 + 31112*i**3/15 + 8*i**2 = 0?
-10, -2, -3/776, 0
Factor w**4/2 + 36*w**3 - 705*w**2/2 + 964*w - 648.
(w - 4)**2*(w - 1)*(w + 81)/2
Factor o**2/5 - 16592*o/5 + 68823616/5.
(o - 8296)**2/5
Solve -a**3 + 599*a**2 + 71921*a + 1980345 = 0 for a.
-53, 705
What is s in 15*s**5 + 355*s**4 - 405*s**3 - 52195*s**2 - 247170*s + 88200 = 0?
-15, -14, -7, 1/3, 12
Factor -2*b**2/5 - 283632*b/5 - 10055888928/5.
-2*(b + 70908)**2/5
Factor 3*x**3/2 + 141*x**2 - 1206*x + 1836.
3*(x - 6)*(x - 2)*(x + 102)/2
Find w such that 2*w**4/7 - 20452*w**3/7 + 52224138*w**2/7 + 313979152*w/7 + 261734560/7 = 0.
-5, -1, 5116
Factor 2*a**2/15 + 182*a + 10824/5.
2*(a + 12)*(a + 1353)/15
Find t such that 335678*t**2/5 - 95901*t/5 - 2/5 = 0.
-1/47954, 2/7
Solve 4*n**5 + 3200*n**4 + 643192*n**3 + 1276800*n**2 + 636804*n = 0.
-399, -1, 0
Factor r**2 + 824*r + 16863.
(r + 21)*(r + 803)
Find r such that r**5 - 204*r**4 + 28325*r**3/4 + 1395127*r**2/4 + 1598190*r + 1934300 = 0.
-23, -5/2, 116
Factor -5*d**4 + 390*d**3 + 835*d**2 - 2820*d + 1600.
-5*(d - 80)*(d - 1)**2*(d + 4)
Factor 26*j**4/5 - 1332*j**3/5 - 29592*j**2/5 - 188784*j/5 - 77760.
2*(j + 6)**3*(13*j - 900)/5
What is i in -15*i**4 + 5575*i**3 + 7465*i**2 - 1855*i - 3730 = 0?
-1, 2/3, 373
Factor q**3/6 + 157*q**2/2 - 2640*q + 64384/3.
(q - 16)**2*(q + 503)/6
Let -5*j**3 + 690*j**2 - 10705*j - 11400 = 0. Calculate j.
-1, 19, 120
Factor 3*j**2 + 6267*j - 31410.
3*(j - 5)*(j + 2094)
Factor a**2/6 + 151*a/2 + 1095.
(a + 15)*(a + 438)/6
Factor 4*o**2 - 51580*o - 51584.
4*(o - 12896)*(o + 1)
Factor -l**2 - 4774*l + 14331.
-(l - 3)*(l + 4777)
Suppose -2*y**3/3 - 526*y**2/3 + 1070*y - 1614 = 0. What is y?
-269, 3
Suppose -j**4/3 - 2*j**3 + 40*j**2 - 250*j/3 - 125 = 0. What is j?
-15, -1, 5
Factor -4*n**2 + 136*n + 33440.
-4*(n - 110)*(n + 76)
Determine i so that -i**2/7 + 37834*i/7 + 5405 = 0.
-1, 37835
Factor -3*w**2 + 25236*w + 25239.
-3*(w - 8413)*(w + 1)
Suppose -4*b**2/7 + 1182272*b - 611523098368 = 0. What is b?
1034488
Suppose -4*z**2 - 1356*z - 10592 = 0. Calculate z.
-331, -8
Solve 27*y**3 - 2223*y**2 - 1491*y - 249 = 0.
-1/3, 83
Determine m so that -m**5/3 - 56*m**4/3 + 176*m**3/3 - 62*m**2/3 - 175*m/3 + 118/3 = 0.
-59, -1, 1, 2
Determine r so that r**3/3 + 352*r**2/3 + 2733*r + 2616 = 0.
-327, -24, -1
Factor -2*i**2/15 + 116*i/3 + 17666/5.
-2*(i - 363)*(i + 73)/15
Solve 2*o**5/17 - 160*o**4/17 + 2106*o**3/17 + 17172*o**2/17 + 28080*o/17 = 0.
-3, 0, 26, 60
Let 5*r**5 - 210*r**4 - 495*r**3 + 2360*r**2 + 2640*r = 0. What is r?
-4, -1, 0, 3, 44
Factor 1082*u**2 + 4325*u - 12.
(u + 4)*(1082*u - 3)
Factor h**2/5 - 38559*h/5 + 38558/5.
(h - 38558)*(h - 1)/5
Let 4*g**3 + 416*g**2 + 4132*g + 3720 = 0. Calculate g.
-93, -10, -1
Factor 5*t**3 + 65*t**2 - 760*t + 1680.
5*(t - 4)**2*(t + 21)
Find k such that -k**5 - 153*k**4/2 + 16487*k**3 + 289629*k**2/2 + 68276*k = 0.
-169, -8, -1/2, 0, 101
Factor -y**3 + 78*y**2 - 656*y - 1632.
-(y - 68)*(y - 12)*(y + 2)
Factor -9*y**4/2 - 17763*y**3/2 - 8773435*y**2/2 - 8755681*y/2.
-y*(y + 1)*(3*y + 2959)**2/2
Suppose 2*p**2/7 + 110788*p + 10739733326 = 0. Calculate p.
-193879
Factor 3*n**3/2 + 105*n**2/2 + 192*n + 186.
3*(n + 2)**2*(n + 31)/2
Factor 2*y**3/15 - 3622*y**2/15 + 28496*y/3 - 283360/3.
2*(y - 1771)*(y - 20)**2/15
Suppose 4*x**2/7 - 2920*x + 183636/7 = 0. Calculate x.
9, 5101
Determine f so that -10*f**5/9 + 82*f**4/9 - 56*f**3/3 + 8*f**2/9 + 160*f/9 = 0.
-4/5, 0, 2, 5
Factor 4*j**2 + 276*j - 40608.
4*(j - 72)*(j + 141)
Factor 35*r**2/3 + 25160*r + 43120/3.
5*(r + 2156)*(7*r + 4)/3
Determine l so that -28*l**5 + 1016*l**4 + 5564*l**3 - 156904*l**2 + 565712*l - 148960 = 0.
-14, 2/7, 5, 7, 38
Factor 4*b**2 + 63208*b + 63204.
4*(b + 1)*(b + 15801)
Find n, given that 4*n**4 - 112*n**3 + 212*n**2 - 104*n = 0.
0, 1, 26
Factor 2*k**2 + 111428*k/5 + 89136/5.
2*(k + 11142)*(5*k + 4)/5
Suppose -2*l**3/17 - 2426*l**2/17 + 17060*l/17 - 24400/17 = 0. Calculate l.
-1220, 2, 5
Factor -2*a**2/9 + 548*a/9 - 4256/9.
-2*(a - 266)*(a - 8)/9
Let 6*x**5/5 + 64*x**4/5 + 14*x**3/5 - 1116*x**2/5 - 1552*x/5 + 128 = 0. What is x?
-8, -5, -2, 1/3, 4
Determine f so that -4*f**3 + 508*f**2 - 504*f = 0.
0, 1, 126
Factor 15*y**3 + 42816*y**2 + 59919*y + 17118.
3*(y + 1)*(y + 2853)*(5*y + 2)
Factor 2*i**2 + 11698*i + 11696.
2*(i + 1)*(i + 5848)
Determine j, given that -3*j**4 - 213*j**3 - 3399*j**2 - 12135*j + 15750 = 0.
-50, -15, -7, 1
Factor 4*s**2 - 277472*s + 4811919424.
4*(s - 34684)**2
Factor -4*n**3 + 2152*n**2 + 75372*n.
-4*n*(n - 571)*(n + 33)
What is j in 5*j**3 - 3530*j**2 + 526845*j - 22487400 = 0?
93, 520
Factor 4*z**3/7 + 2264*z**2/7 + 2560*z + 35712/7.
4*(z + 4)**2*(z + 558)/7
Determine g, given that 2*g**2 + 7698*g - 684864 = 0.
-3936, 87
Factor -16*r**5 + 476*r**4 - 3480*r**3 - 900*r**2.
-4*r**2*(r - 15)**2*(4*r + 1)
What is b in 5*b**5 - 55575*b**4 + 153955715*b**3 + 2631604875*b**2 + 4801120280*b + 2323526700 = 0?
-15, -1, 5566
Factor 3*l**5/7 - 138*l**4/7 + 300*l**3 - 1512*l**2.
3*l**2*(l - 18)*(l - 14)**2/7
Find l such that l**5/11 - 65*l**4/11 - 1770*l**3/11 + 14840*l**2/11 - 18400*l/11 - 34944/11 = 0.
-26, -1, 4, 84
Find p such that -3*p**5/8 - 105*p**4 - 60063*p**3/8 - 61491*p**2/4 + 1840851*p/2 + 928395 = 0.
-138, -13, -1, 10
Factor -g**2 - 5522*g - 7623121.
-(g + 2761)**2
Determine h so that -3*h**3 + 780*h**2 - 2817*h - 257040 = 0.
-16, 21, 255
Factor 12*q**2 + 120705*q + 21
|
{
"pile_set_name": "DM Mathematics"
}
|
s the remainder when 10993 is divided by 500?
493
What is the remainder when 1438 is divided by 17?
10
What is the remainder when 18380 is divided by 175?
5
Calculate the remainder when 4817 is divided by 112.
1
What is the remainder when 9035 is divided by 151?
126
What is the remainder when 4236 is divided by 280?
36
Calculate the remainder when 30173 is divided by 41.
38
What is the remainder when 41365 is divided by 250?
115
Calculate the remainder when 26881 is divided by 408.
361
What is the remainder when 9871 is divided by 9348?
523
Calculate the remainder when 5005 is divided by 2494.
17
What is the remainder when 7948 is divided by 397?
8
Calculate the remainder when 16871 is divided by 309.
185
Calculate the remainder when 203522 is divided by 120.
2
What is the remainder when 1445118 is divided by 13?
12
Calculate the remainder when 7329 is divided by 563.
10
Calculate the remainder when 45542 is divided by 875.
42
Calculate the remainder when 18328 is divided by 495.
13
What is the remainder when 44615 is divided by 35?
25
Calculate the remainder when 2151 is divided by 104.
71
What is the remainder when 6561 is divided by 298?
5
Calculate the remainder when 756 is divided by 448.
308
What is the remainder when 6793 is divided by 754?
7
Calculate the remainder when 1924 is divided by 828.
268
What is the remainder when 5225 is divided by 1729?
38
What is the remainder when 3660 is divided by 253?
118
Calculate the remainder when 36171 is divided by 4018.
9
Calculate the remainder when 187920 is divided by 26844.
12
What is the remainder when 9114 is divided by 1298?
28
What is the remainder when 5549 is divided by 12?
5
What is the remainder when 37251 is divided by 134?
133
What is the remainder when 424 is divided by 121?
61
What is the remainder when 1551 is divided by 111?
108
What is the remainder when 53254 is divided by 1901?
26
Calculate the remainder when 10489 is divided by 62.
11
Calculate the remainder when 13784 is divided by 3398.
192
What is the remainder when 16834 is divided by 812?
594
Calculate the remainder when 95175 is divided by 4137.
24
What is the remainder when 3136269 is divided by 62?
61
What is the remainder when 9821 is divided by 702?
695
Calculate the remainder when 975 is divided by 206.
151
Calculate the remainder when 866 is divided by 431.
4
Calculate the remainder when 94052 is divided by 242.
156
What is the remainder when 71250 is divided by 35623?
4
Calculate the remainder when 2812 is divided by 354.
334
Calculate the remainder when 8942 is divided by 825.
692
What is the remainder when 9473 is divided by 9118?
355
What is the remainder when 63964 is divided by 467?
452
What is the remainder when 34057 is divided by 183?
19
What is the remainder when 31595 is divided by 1017?
68
Calculate the remainder when 3458159 is divided by 9.
8
What is the remainder when 5087 is divided by 4977?
110
Calculate the remainder when 52863 is divided by 13109.
427
Calculate the remainder when 10423 is divided by 20.
3
What is the remainder when 120872 is divided by 25?
22
What is the remainder when 9628 is divided by 340?
108
What is the remainder when 55660 is divided by 425?
410
What is the remainder when 27806 is divided by 137?
132
Calculate the remainder when 3405 is divided by 77.
17
Calculate the remainder when 87141 is divided by 7255.
81
Calculate the remainder when 333600 is divided by 68.
60
What is the remainder when 7816 is divided by 86?
76
Calculate the remainder when 29168 is divided by 9.
8
Calculate the remainder when 4330 is divided by 255.
250
What is the remainder when 945 is divided by 905?
40
Calculate the remainder when 726 is divided by 107.
84
Calculate the remainder when 66564 is divided by 2560.
4
Calculate the remainder when 7993 is divided by 883.
46
What is the remainder when 3928 is divided by 429?
67
Calculate the remainder when 5529 is divided by 198.
183
What is the remainder when 39869 is divided by 19922?
25
What is the remainder when 1077963 is divided by 15?
3
Calculate the remainder when 2228 is divided by 724.
56
Calculate the remainder when 71575 is divided by 234.
205
What is the remainder when 38136 is divided by 3?
0
Calculate the remainder when 102972 is divided by 429.
12
What is the remainder when 66000 is divided by 18?
12
What is the remainder when 88921 is divided by 293?
142
Calculate the remainder when 56402 is divided by 391.
98
What is the remainder when 601 is divided by 154?
139
What is the remainder when 3004 is divided by 1494?
16
What is the remainder when 4291 is divided by 1519?
1253
Calculate the remainder when 197296 is divided by 291.
289
What is the remainder when 640974 is divided by 97?
95
Calculate the remainder when 2908 is divided by 117.
100
Calculate the remainder when 2485470 is divided by 147.
141
Calculate the remainder when 83176 is divided by 366.
94
What is the remainder when 12833 is divided by 247?
236
Calculate the remainder when 623932 is divided by 155980.
12
Calculate the remainder when 970 is divided by 857.
113
Calculate the remainder when 13660 is divided by 46.
44
Calculate the remainder when 25432 is divided by 8473.
13
Calculate the remainder when 8750 is divided by 406.
224
What is the remainder when 89633 is divided by 490?
453
What is the remainder when 101469 is divided by 373?
13
What is the remainder when 14300 is divided by 246?
32
Calculate the remainder when 138742 is divided by 1508.
6
What is the remainder when 6225 is divided by 35?
30
Calculate the remainder when 724904 is divided by 89.
88
What is the remainder when 1768743 is divided by 161?
158
What is the remainder when 2895 is divided by 207?
204
Calculate the remainder when 7403 is divided by 20.
3
What is the remainder when 21736 is divided by 12?
4
What is the remainder when 3829383 is divided by 161?
159
What is the remainder when 81537 is divided by 516?
9
What is the remainder when 70617 is divided by 1502?
23
Calculate the remainder when 176083 is divided by 65.
63
Calculate the remainder when 120902 is divided by 108.
50
What is the remainder when 106623 is divided by 64?
63
Calculate the remainder when 25558 is divided by 29.
9
Calculate the remainder when 290657 is divided by 48438.
29
What is the remainder when 26902 is divided by 55?
7
Calculate the remainder when 7295 is divided by 911.
7
Calculate the remainder when 208328 is divided by 34721.
2
What is the remainder when 7674 is divided by 697?
7
Calculate the remainder when 171388 is divided by 81.
73
Calculate the remainder when 6245 is divided by 1266.
1181
What is the remainder when 90568 is divided by 301?
268
What is the remainder when 4014 is divided by 562?
80
What is the remainder when 6039 is divided by 140?
19
Calculate the remainder when 19420 is divided by 4855.
0
Calculate the remainder when 12581 is divided by 392.
37
What is the remainder when 2615 is divided by 247?
145
Calculate the remainder when 46784 is divided by 594.
452
What is the remainder when 40539 is divided by 724?
719
What is the remainder when 44017 is divided by 2750?
17
What is the remainder when 6518 is divided by 541?
26
Calculate the remainder when 15303 is divided by 117.
93
Calculate the remainder when 926 is divided by 210.
86
What is the remainder when 405032 is divided by 13501?
2
Calculate the remainder when 88681 is divided by 148.
29
Calculate the remainder when 443731 is divided by 31.
28
What is the remainder when 1273 is divided by 619?
35
What is the remainder when 35249 is divided by 1462?
161
Calculate the remainder when 11645 is divided by 9.
8
Calculate the remainder when 132181 is divided by 41.
38
Calculate the remainder when 5625 is divided by 5624.
1
Calculate the remainder when 356880 is divided by 89214.
24
What is the remainder when 5836 is divided by 224?
12
What is the remainder when 192 is divided by 19?
2
What is the remainder when 189836 is divided by 15?
11
Calculate the remainder when 10719 is divided by 76.
3
Calculate the remainder when 1073212 is divided by 818.
814
Calculate the remainder when 2385 is divided by 2206.
179
Calculate the remainder when 81570 is divided by 22.
16
What is the remainder when 243669 is divided by 413?
412
What is the remainder when 2
|
{
"pile_set_name": "DM Mathematics"
}
|
0*b + 3*a + 10, -4 = 4*b + 2*a for b.
1
Let b be 1*((2 - -13) + 0). Solve p + 12 = 3*c + 2, -2*c = p - b for p.
5
Let l be 136/(-10) + 2/(-5). Let p be (-27)/(-6)*l/(-21). Solve 5*u = -p*g + 26, 5*g - u = 4*u - 10 for g.
2
Suppose -12*p + 11*p = 2*g - 46, -3*g = 3. Let m = p + -45. Solve 5*d - 13 = 5*f + 2, m*d + 12 = -4*f for d.
0
Let v(s) = -10*s + 64. Let f be v(6). Solve 12 = 3*g - 4*d, -5*g - f = 2*d + 2 for g.
0
Suppose -45*s - 121 = -796. Solve c - 5*c - 3*f = s, -c = 4*f + 7 for c.
-3
Let j = 7 + 0. Let b = j + -10. Let v be (16/20)/(b/(-45)). Solve 5 + v = -5*u - g, g = u + 7 for u.
-4
Suppose 4956*m - 4963*m = -35. Solve -2 = -2*p, -p + m*p - 7 = y for y.
-3
Suppose -3*z = -u - 0*u - 20, -19 = -3*z + 2*u. Suppose -z*v = v. Solve 3*f - 6 = 3*s, 2*s + s - 5*f + 8 = v for s.
-1
Suppose -2 = g + g + 4*y, 4*y + 12 = 0. Let w = -2 + g. Solve -a + 3 = 2*q, 4*q - w = 3*a - 2*a for q.
1
Let i be (-2)/(-6) + 42/(-9)*-1. Solve 4*t + 4*u = -4, -5*t + i*u - 3 = -2*t for t.
-1
Let o be (-27)/(-15)*130/78. Solve 2*p + 2*c = 7*p, 0 = -o*p + c + 1 for p.
2
Let j = 3 - 0. Let v = 1 + j. Suppose -n + 5*a = 2*n + 13, -3*n + v*a = 8. Solve 28 = n*x - 4*t, -2*t - 5 = 1 for x.
4
Let u be ((-29)/5 + 1)/((-1)/5). Suppose 4*w - u = -8. Solve -2*l = -l + m, 0 = -3*l + w*m for l.
0
Let f be 22 - -6*(-1)/3. Let r be (f/(-25))/(2/(-5)). Solve -r*n = 3*g - 5, n + n = -4 for g.
3
Suppose -s + 4*s = 0. Let m(g) = -g**2 - 6 + 0*g + s*g + g - 8*g. Let n be m(-6). Solve -3*r + 3*k = -6 - 9, n = -k for r.
5
Let z(h) = -2*h - 7. Let m be z(-2). Let q be 2 - (-3 - (m + 0)). Solve 2*y + y - q*n = -15, y - 3 = -2*n for y.
-3
Let d = 1281 - 1277. Solve 2*h - 8 = 0, -4*z = d*h + 2 + 2 for z.
-5
Let v(n) = -10*n - 69. Let x(u) = 4*u + 34. Let q(o) = 6*v(o) + 14*x(o). Let z be q(15). Solve -z*p + 2*y = 8, 21 = -4*p - y - 0*y for p.
-5
Suppose 0 = 8*q - 4*q - 20. Suppose 0 = -3*p + 2*p + 3*d + 9, 0 = 5*d + 10. Solve p*m + k = 15, q*m - 25 = -0*m - 4*k for m.
5
Let x(a) = a**3 - 9*a**2 + 19*a + 4. Let k be x(6). Solve 2*q - q + 5*o = -20, 5*q + 3*o = k for q.
5
Let s be (-1 - 15/(-10))*10. Solve -s*u + k - 8 = -2*u, 0 = -5*u - 4*k - 36 for u.
-4
Suppose 6*h + 130 = h. Let m = -12 - h. Let j be 34/m - 44/(-77). Solve -4*u - 24 = -4*k, 4*k + 3 = j*u + 25 for u.
-2
Let m be ((-56)/(-6))/((-30)/(-135)). Let j = -27 + m. Solve -30 = -2*z - 4*c, 3*c - j = -4*z + 20 for z.
5
Let j(g) be the first derivative of -g**3/3 + 9*g**2/2 + 4*g - 6. Let o be j(9). Solve -3*z - 3 = o*k, k + 0*k - 13 = 2*z for z.
-5
Suppose 4*f = 3*z - 16, 4*z + 2*f - 14 = -0*z. Suppose 0 = -7*g + 5*g + z. Solve -2*l - g*t = 2*l - 16, -3*l + 19 = -2*t for l.
5
Suppose -5*u + 2 + 43 = 0. Solve 5*l = -3*t - 5 - u, -1 = l for t.
-3
Suppose -4*p + 0 = -2*t + 4, -4*t - p - 1 = 0. Solve -3*f - 5*q + 21 = t, 2*f - 14*q + 11 = -9*q for f.
2
Let j(v) = -4*v - 84. Let l be j(-22). Solve -u = -l, -2*o - 14 = -0*o - 4*u for o.
1
Suppose 2*z + 2*g = 2, -11 = 3*z - 6*z - g. Solve -u + 9 = -z*j, 4*j + 9 = -5*u - 4 for u.
-1
Suppose 25*y - 5*y - 40 = 0. Solve -2*s = -3*p + 4 - 1, 14 = -4*s - y*p for s.
-3
Let s be 2 - (6/3 - 4). Let p = -834 + 834. Let w be 4/16 - 63/(-4). Solve -2*o + 7 = 3*k, s*k - 4*o - w = -p*k for k.
3
Let k be -2*1*2*(-14)/7. Suppose 2*b = 4*z + 40, 5*z - 2*b - 8 = -60. Let f = -10 - z. Solve 31 = 2*q + 5*p, 0 = -q + p - f*p + k for q.
3
Let y = -85 - -175. Let f = y + -85. Solve -4*n = i - f - 5, 0 = 2*n + i - 6 for n.
2
Let z(o) = -o**2 + 5*o + 47. Let g be z(-9). Let m = -74 - g. Solve -20 = m*k - 0, 5*k = b - 16 for b.
-4
Let s = -7 + 9. Let m be (-8)/(-5) - s/(-5). Suppose 0*k - 2*f - 60 = -5*k, m*k + 4*f - 48 = 0. Solve -3*b - 21 = -4*a - 1, 4*b + a + k = 0 for b.
-4
Let u = -4 + 4. Let l = 5 - u. Solve -l*y = 5*f + 20, 3*f - 15 = 3*y + 3 for y.
-5
Let p be (-105)/(-27) + 8/72. Solve p*u = -8, -4*t + 1 = -4*u + 13 for t.
-5
Let g = -14 - -25. Let s be (g + -1)/(2/5). Suppose -3*a + s = 2*a. Solve -5*c = a*u - 10, -3*u - 4 = -4*u - 2*c for u.
0
Suppose -2*w = -6*w + 212. Suppose -w = -4*l - 13. Solve -5*x = s - 10, -4*s - l = -2*s for x.
3
Suppose -8 = -4*z - 0. Solve z*c + 0*i = -2*i - 4, -3*i = -6 for c.
-4
Let d be (2 + -1)/(5/35). Let n be 9/45 - (-31)/(-5). Let u(w) = -5*w - 29. Let b be u(n). Solve k - b = x, 0*k - d = 5*k + x for k.
-1
Suppose -4*a = 4*h + 12, a - 7 = 3*h + 2. Solve -4*u - 3*y = a, -u + 3*u - 2*y + 14 = 0 for u.
-3
Suppose 5*n - f + 8 = -2*f, 0 = 4*n + 2*f + 4. Let t be 1 - (n + 1 - 1). Let b be (-20)/(-12)*3 - t. Solve -2*h = 2*k - 10, -4*k + b*h = -k for k.
2
Let f = -17 + 37. Suppose 72 = -r + 9*r. Suppose -13*y + 12 = -r*y. Solve -4*s = y*t + 2*t + f, 0 = s + 5 for t.
0
Let p = -516 + 519. Solve 0 = p*x + 4*t + 6 - 1, -3*t = 6 for x.
1
Let s = -45 - -42. Let r(l) = 2*l + 13. Let m be r(s). Solve m = 3*b - g - 0, 0 = 3*b + 3*g - 3 for b.
2
Suppose -22*y - 19*y + 82 = 0. Let o(p) = p - 3 + 0*p - 2*p. Let q be o(-6). Solve j - 7 = -q*t, j = -2*t + y*j + 13 for t.
4
Suppose -v - 55 = 4*j - 18, 0 = 5*v + j + 147. Let i = -41 + 73. Let p = i + v. Solve -q - w + p = -1, -4*q - 5*w = -21 for q.
-1
Suppose -62 = -2*n - 40. Solve -2*b + 3*u + n = 4, 20 = 5*b - 5*u for b.
5
Let f(x) = 3 - 3*x**2 + 2*x**2 + 2*x + 2*x**2. Let h be f(-4). Suppose -132 - 29 = -54*k + 1. Solve 3*l - 11 - 10 = k*s, 2*s + 3*l = h for s.
-2
Suppose 5*y = -4*b + 8, -2*b - 3 + 7 = -4*y. Solve 1 - 9 = -5*q - 3*d, -q + b*d - 1 = 0 for q.
1
Let i be 20/(-2*(0 + -1)). Let d(u) = 31*u**2 + 2*u + 1. Let l be d(-1). Solve 2*z - i = 0, -5*w = -z + 5*z - l for w.
2
Let y(w) = -2*w**2 - 7*w + 59. Let l be y(-7). Solve -1 = 4*n - k, 3*n + 5*k + l - 38 = 0 for n.
1
Let x(i) = -2*i + 14. Let j be x(7). Let b be 5 + 1 + (-1 - j). Solve 2*f - 33 = b*k, 0*k - 4*f = -k - 21 for k.
-5
Let r(j) = 10*j - 9. Let b(o) = -o + 1. Let h(u) = -18*b(u) - 2*r(u). Let n be h(-1). Solve 0 = -4*y - 4*l + l - 9, 2*y = -n*l - 6 for y.
0
Suppose 2*m + 6 = 3*i, m + i = -3*m - 40. Let r(v) = -2*v - 16. Let a be r(m). Let t be a/5*(-2 - -7). Solve 6 = -t*w - 2*x, 0 = 2*w - x + 5*x + 14 for w.
1
Let g be 42/18 - 18/(-27). Solve 3*a - 3*z + 28 = 10, -g*z = 4*a + 3 for a.
-3
Let h be (4 - 203/35)/(6/(-10)). Solve h*w + 7 = -g + 2, 2*w + 10 = g for w.
-3
Suppose 0 = -3*y + 3*n + 27, y + 5*n = -0*y + 3. Suppose v + 4 = y. Solve v*s + 4*m + 4 = -0, 5*m = -s - 13 for s.
2
Suppose l + 2*u = 5, 0*l = 2*l + u - 7. Solve 0 = -l*g - 2*s + 3 - 7, -12 = 4*g - 4*s for g.
-2
Let d(z) = z**3 + 8*z**2 + 11*z - 2. Let f be d(-6). Suppose -2*b = h - 22, -f*b - 3*h = -26 - 14. Solve 0 = 3*o - 0*l + l - b, 5*o + 3*l - 27 = 0 for o.
3
Suppose -4*o = p - 6*o - 10, 3*p - 38 = -2*o. Suppose -p = -4*h + 4. Solve 0 = h*r + 4*q + 32, 2*r - 3*q + q = -4 for r.
-5
Suppose y - 12 = -2*y. Suppose 1 = -g + 2, -3*p - 2*g + 2 = 0. Solve p = 2*l + y*x + 6 - 0, x + 6 = -5*l for l.
-1
Suppose x = -4*x - 15, 12 = -3*z - 4*x. Let u = -222 - -257. Suppose -5*r - 6*y + 2*y = -60, 5*r - y = u. Solve z = -2*w - 2*m - r, -4*w + 3*m - 11 = 5 for w.
-4
Let o be (-4 + 6 + -16)/2. Let w(k) = -7*k**2 - 3*k**3 + 25 - 9 + 2*k**3 + 0*k**3 + 2*k. Let a be w(o). Solve -2*x - 19 = 5*c, -c - 11 = 6*x - a*x for x.
-2
Let c = 109 - 104. Suppose -c*y + 76 - 51 = 0. Solve d + 22 = -y*s, 0*s + 25 = -5*s for d.
3
Suppose 0 = -2*l - 6*z + z + 35, -3*z + 10 = -l. Solve 2*x - 3*o = -0*x + 18, l = 3*x + o for x.
3
Suppose -4*j - j = -2*q, q - 4*j = 0. Suppose -l + 2*l - 4 = q. Suppose c = l*b + 12, 0*c + 3*b = -2*c + 2. Solve 4*y - c*n = 16, 5*y + 2*n + 13 = 40 for y.
5
Let d be 1024/(-16) - (-1 - (2 + -5)). Let i = 71 + d. Let r = -7 + 10. Solve v + i*t = -15, -4*v + t = -r*t - 12 for v.
0
Let p = -61 + 78. Let x = 17 - p. Solve -3*o + 17 = s, x = -0*o + 3*o + 5*s - 25 for o.
5
Suppose 0*d = -24*d + 72. Solve 3 = p - 7*m + 3*m, -2*p = -d*m + 4 for p.
-5
Let o(t) = -t**2 + 7*t - 2. Let s be o(6). Let w(d) = -d**3 - 15*d**2 - 59*d - 1195. Let x be w(-16). Solve -s*n = 2*z - 22, x*z + 3*n = 19 + 15 for z.
5
Let k be (3 + -3)/(-1 + (-3 - -5)). Let f = -13 - -19. Suppose -3*g + g = -s + 6, 2*s + 2*g - f = k. Solve -2*w - o - 19 = 4*o, 20 = -s*o for w.
3
Let f be -2 - (-6 + 0 + 1). Suppose n - a = f, 2*a = -3*n - 16 - 0. Let p be (-10)/n*(10 - 9). Solve 0 = p*i + 3*h - 23, -4*i - 14 = 3*h - 33 for i.
4
Let m(k) = k
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{
"pile_set_name": "DM Mathematics"
}
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