text
stringlengths 518
8.19k
| meta
dict |
---|---|
2760707
What is -aecdd (base 15) in base 12?
-229bb4
-530524 (base 6) to base 12
-20a44
What is 6151022 (base 8) in base 12?
665416
934872 (base 16) to base 12
3295a16
What is 175cb4 (base 14) in base 8?
3107266
4476b0 (base 14) to base 16
237bfa
Convert 11e9e (base 16) to base 11.
50144
What is 1023400 (base 6) in base 13?
19a13
What is 2b2cf (base 16) in base 8?
531317
Convert -1140120 (base 6) to base 16.
-e910
31234534 (base 6) to base 11
56a469
20112110120121 (base 3) to base 15
489237
-13025165 (base 7) to base 15
-185838
-102120011102021 (base 3) to base 5
-3033104231
-1011431213 (base 5) to base 11
-1188870
What is 2035e (base 16) in base 4?
200031132
Convert 1010011000110100011110 (base 2) to base 15.
38bca2
Convert -870214 (base 11) to base 4.
-11103220300
What is -276967 (base 10) in base 6?
-5534131
Convert -961098 (base 13) to base 15.
-4968a0
What is -60415 (base 12) in base 4?
-132201101
Convert 5579893 (base 10) to base 7.
65266624
What is -4001512 (base 7) in base 5?
-110034233
Convert -100110001110111101111110 (base 2) to base 8.
-46167576
Convert 36623420 (base 7) to base 13.
8ac659
What is 12210 (base 10) in base 7?
50412
Convert -2810464 (base 11) to base 10.
-4846725
What is -22092bb (base 12) in base 2?
-11000101111011001101111
Convert -4482320 (base 9) to base 4.
-21031320213
-3040331 (base 6) to base 7
-1143361
-10c83 (base 13) to base 5
-1440241
-142661 (base 8) to base 6
-1030145
Convert 10712 (base 15) to base 13.
1a9c9
Convert 2333000 (base 7) to base 15.
5c16b
10101000110001001000011 (base 2) to base 15
743889
Convert 77874a (base 13) to base 12.
b3a807
-202040125 (base 6) to base 4
-31030023311
3973d (base 14) to base 5
14010441
What is 248055 (base 10) in base 3?
110121021020
-825387 (base 9) to base 4
-1313200021
Convert 1771218 (base 12) to base 3.
100011200020102
What is 13a5b (base 12) in base 3?
1101121222
Convert 22688620 (base 9) to base 10.
11041938
What is -83446 (base 10) in base 11?
-57770
What is -11011101001001011101 (base 2) in base 5?
-212441241
What is 430522 (base 7) in base 10?
74692
-122201233 (base 5) to base 11
-36a216
What is -35393 (base 11) in base 9?
-77014
-235155 (base 8) to base 13
-2a83a
Convert 11221002211 (base 3) to base 16.
17b09
What is -11412343 (base 6) in base 11?
-226162
What is -1d83a (base 15) in base 7?
-550630
What is -1137077 (base 9) in base 12?
-25812a
Convert 95a51 (base 13) to base 5.
32113130
422011 (base 8) to base 10
140297
101111001001111000 (base 2) to base 10
193144
Convert -611000 (base 7) to base 5.
-11303321
What is -700718 (base 10) in base 5?
-134410333
-4b5c1 (base 16) to base 13
-aa661
-11603a1 (base 14) to base 8
-37520131
10577402 (base 9) to base 12
1874602
-48313 (base 12) to base 9
-157316
5278a (base 15) to base 11
169590
33468 (base 11) to base 15
e569
Convert 15457756 (base 8) to base 2.
1101100101111111101110
-1cbe67 (base 15) to base 6
-50055011
-33303344 (base 6) to base 16
-f5170
Convert 1101100000111110 (base 2) to base 5.
3232413
Convert 15304435 (base 6) to base 14.
ddca3
-6bc081 (base 13) to base 3
-11211111011212
Convert 43373 (base 10) to base 5.
2341443
Convert 10201312 (base 5) to base 6.
1451330
8711 (base 10) to base 4
2020013
Convert 3a0cb4 (base 13) to base 2.
101010110001101000000
Convert -1065a22 (base 12) to base 2.
-1011111001110101111010
-5233543 (base 6) to base 4
-331322013
What is c78f5 (base 16) in base 11?
509139
What is 89749 (base 11) in base 14?
35543
What is 255205a (base 12) in base 11?
4152147
Convert 86127 (base 15) to base 8.
1477050
What is 13303332220 (base 4) in base 11?
1179699
Convert -14594 (base 16) to base 14.
-22536
Convert -4c074 (base 13) to base 8.
-422637
Convert a38082 (base 12) to base 6.
130544242
What is -240631332 (base 7) in base 8?
-70754554
-692c (base 13) to base 10
-14741
Convert -589149 (base 10) to base 3.
-1002221011100
-13330302200 (base 4) to base 3
-10220212201012
100141301 (base 5) to base 14
a469d
Convert 2744a (base 13) to base 8.
217027
12002110200112 (base 3) to base 15
386ace
343852 (base 13) to base 12
4b7431
2122121110 (base 3) to base 2
1100101111101011
131172 (base 11) to base 10
206505
What is -341054501 (base 6) in base 3?
-102200122022201
What is aa01 (base 14) in base 9?
44287
Convert 10b09a8 (base 15) to base 3.
211111002212212
What is 1210121200 (base 3) in base 16?
8a72
Convert 1000100001110001101 (base 2) to base 10.
279437
Convert 1050727 (base 10) to base 14.
1d4cbd
What is 21101021 (base 4) in base 2?
1001010001001001
45a53 (base 14) to base 10
169417
-404245054 (base 6) to base 11
-3a01347
What is -258611 (base 11) in base 7?
-3312460
Convert 30206553 (base 7) to base 9.
4640343
Convert -28214 (base 13) to base 12.
-37525
What is -a3a7 (base 13) in base 3?
-1011000120
What is -49a028 (base 12) in base 16?
-124ca0
What is -90ad3 (base 14) in base 9?
-580183
What is 94881 (base 10) in base 7?
543423
Convert 444321030 (base 5) to base 14.
38a01b
-707a2a (base 14) to base 9
-7110337
What is -11536004 (base 8) in base 16?
-26bc04
Convert 102447 (base 14) to base 10.
544159
Convert 20333312130 (base 4) to base 3.
11102211111200
What is 1002a49 (base 11) in base 9?
3305452
What is 11011010111000010001 (base 2) in base 11?
562637
Convert -6355538 (base 12) to base 6.
-1510231312
Convert 63178c (base 16) to base 3.
110012221012221
Convert -716427 (base 9) to base 5.
-102042002
3173ac (base 16) to base 13
8961a2
What is -8157657 (base 9) in base 12?
-1558967
-2434116 (base 9) to base 7
-14143365
b3c54 (base 13) to base 5
40312414
Convert 10100110111111001110 (base 2) to base 10.
683982
Convert -110010110011000001 (base 2) to base 11.
-132360
-1cfd0 (base 16) to base 10
-118736
Convert -265cdc (base 14) to base 10.
-1322410
Convert 6333 (base 7) to base 10.
2229
Convert 1001100001001111010 (base 2) to base 9.
524788
Convert 3a8026 (base 13) to base 8.
5317611
Convert 735934 (base 12) to base 10.
1814008
Convert -274770 (base 12) to base 10.
-650820
Convert 2050152 (base 7) to base 10.
247389
Convert 5101601 (base 10) to base 12.
1860395
10517763 (base 10) to base 14
157b00b
-101064451 (base 7) to base 10
-5898460
-1102022102 (base 3) to base 16
-6d19
Convert -466a6 (base 15) to base 9.
-371553
-3aaa17 (base 12) to base 6
-32502431
What is -a6abd (base 16) in base 9?
-1250418
What is -138048 (base 10) in base 4?
-201231000
What is 116235 (base 8) in base 3?
2000222221
What is -32508 (base 13) in base 16?
-16332
131551 (base 8) to base 15
d91e
-690cb (base 16) to base 8
-1510313
What is -37232 (base 9) in base 4?
-12012101
52340512 (base 6) to base 5
342143232
Convert 1001377 (base 8) to base 14.
6bb55
4124325 (base 7) to base 4
1320202233
8e494 (base 16) to base 10
582804
What is 1122212211100 (base 3) in base 2?
11010111101011011110
Convert 360216 (base 7) to base 15.
14393
What is 5bbe94 (base 15) in base 11?
2531445
What is 3661074 (base 8) in base 16?
f623c
Convert -3ae33 (base 16) to base 13.
-85a31
Convert -224014123 (base 5) to base 7.
-11336562
What is de6a0 (base 16) in base 9?
1637601
Convert -682843 (base 9) to base 6.
-12433103
459319 (base 10) to base 11
294103
What is 101111100111011 (base 2) in base 10?
24379
413114231 (base 5) to base 7
20244260
What is -526035 (base 16) in base 13?
-1170336
Convert -31013323002 (base 4) to base 15.
-47e54c
What is 1d8b9 (base 16) in base 12?
5a049
What is 7758 (base 12) in base 6?
140552
Convert 4803682 (base 9) to base 10.
2600903
What is -10111000110101011110 (base 2) in base 16?
-b8d5e
101010101001010011 (base 2) to base 4
222221103
What is -596533 (base 13) in base 5?
-1021040313
-12111010222 (base 4) to base 2
-110010101000100101010
-2321692 (base 10) to base 12
-93b6a4
What is 24023 (base 8) in base 12?
5b2b
119a94a (base 11) to base 2
111111011100001110010
What is 3350542 (base 7) in base 2?
1100101011110100000
11110110210 (base 3) to base 13
30c8a
What is 1208171 (base 10) in base 15?
18ce9b
Convert -220011200 (base 3) to base 5.
-1030442
What is -55375 (base 11) in base 15?
-18bda
210110101122 (base 3) to base 5
102004003
What is 2337056 (base 8) in base 6?
21404022
Convert -3b65b4 (base 15) to base 9.
-5333387
42450a (base 15) to base 12
1080a61
1457161 (base 8) to base 3
210012120000
Convert 3aa181 (base 11) | {
"pile_set_name": "DM Mathematics"
} |
.
-0.299331
1 * 96.343
96.343
What is 1 times -284863?
-284863
Work out 5712611 * 1.
5712611
Calculate 19*470.5.
8939.5
What is the product of -15166 and 197?
-2987702
Product of -340 and -388.
131920
1 * -90601
-90601
Multiply 0.0443079 and -0.2.
-0.00886158
Multiply -1697.36 and -19.
32249.84
0 times 148837
0
Product of 144.9 and 42.75.
6194.475
Multiply -1.6 and -90.68.
145.088
15061 * 0.01
150.61
Calculate -2*-4383.
8766
Product of 3579.81 and 0.3.
1073.943
Product of -1.2 and -1.7846.
2.14152
Work out -0.4 * -1.4074.
0.56296
Work out -129 * 5326.
-687054
-0.0693*694
-48.0942
0.0207*0.0059
0.00012213
Product of 2470670 and -0.2.
-494134
Calculate -8*-1262.
10096
-297477 * -0.02
5949.54
-0.07799004 * 4
-0.31196016
-52 times 0.4096
-21.2992
Work out 1.2 * -1.4259.
-1.71108
What is 0.4 times -6092?
-2436.8
Multiply 4 and -616.1.
-2464.4
Product of 0.02404 and 1.4.
0.033656
106.82 times 42
4486.44
Multiply -6 and -8.1839.
49.1034
What is 189.33 times 11?
2082.63
Multiply 8348 and -2.
-16696
-3 times 0.658989
-1.976967
-3763 times -1.9
7149.7
38 * 0.05691
2.16258
Product of -21251 and 3.9.
-82878.9
Calculate 9*-6295.
-56655
-375*1.58
-592.5
Multiply -18 and -0.124.
2.232
-2 * -7363
14726
-2*0.0168069
-0.0336138
Product of 1 and 39227.
39227
Work out -6323 * 0.32.
-2023.36
Multiply -120 and -4247.
509640
0.5*0.11737
0.058685
Product of 2 and 187386.
374772
Product of 73 and 0.0306.
2.2338
-565*-942
532230
Work out -59454 * -4.
237816
0.3 * -1110833
-333249.9
What is the product of 24063 and -115?
-2767245
2163 * 14.4
31147.2
Calculate -3.9496*-0.06.
0.236976
What is the product of 22351 and -0.048?
-1072.848
Work out -11394 * 9.
-102546
0.062423 * -7
-0.436961
-3177*0.7
-2223.9
Work out 0.4 * 4466.
1786.4
What is 0.02 times -3063.9?
-61.278
Multiply -2 and 36716.
-73432
266083*-0.5
-133041.5
Calculate -10669*-37.
394753
What is the product of 0.99459 and -23?
-22.87557
What is the product of -1.4 and -33.03?
46.242
What is the product of 2 and 24.953?
49.906
-5 times -5650.2
28251
Work out 0.14101 * 7.
0.98707
4 * 0.59889
2.39556
Calculate -408513*-0.2.
81702.6
-0.027 * -0.8488
0.0229176
Work out 237955 * -24.
-5710920
What is 15 times 3103?
46545
-0.05*203
-10.15
-8194.25*-5
40971.25
-0.11 times 24842
-2732.62
-1577.6 times -0.5
788.8
What is the product of -0.037 and -0.0887?
0.0032819
Work out 26.827 * 7.
187.789
Calculate -0.076*-12451.
946.276
Product of -0.187 and 0.302.
-0.056474
What is -0.57 times 0.01643?
-0.0093651
Work out 0.06 * -68.46.
-4.1076
What is the product of -67059 and -0.2?
13411.8
10830 times -0.13
-1407.9
Multiply 1866 and 14.
26124
Product of -23 and 1515.
-34845
-0.2 * -0.00666
0.001332
-5316 times 2.84
-15097.44
-1.35*-17673
23858.55
What is the product of 12811 and 4?
51244
What is -1161 times 22.4?
-26006.4
What is the product of 0.4 and -5290.3?
-2116.12
Calculate -0.4218*-0.078.
0.0329004
Calculate 123.9*99.
12266.1
What is the product of -0.03 and -375598?
11267.94
-9 times 688.19
-6193.71
What is the product of -0.2 and -44402?
8880.4
Work out 1.5169 * -9.
-13.6521
Product of 185 and 760.8.
140748
What is the product of 1018 and -0.28?
-285.04
Work out -1773 * 0.11.
-195.03
-95 times 11
-1045
Multiply 422849 and -0.3.
-126854.7
54*-2527
-136458
0.59 times 1657
977.63
Work out 0.4 * 3.491.
1.3964
8344*-0.02
-166.88
7*0.089
0.623
What is the product of -0.01969 and -0.43?
0.0084667
30561 * -12
-366732
What is the product of 1401411 and -0.2?
-280282.2
What is the product of 130 and -341?
-44330
Work out 0.3 * -17877.
-5363.1
0.05993 times 0.4
0.023972
Calculate 0.04*142326.
5693.04
54803 * -0.04
-2192.12
What is the product of 25.829 and -4?
-103.316
Work out -5 * -1634.2.
8171
Product of 0.04 and -77605.
-3104.2
Product of 0.1996 and -0.1.
-0.01996
5 times 0.02196
0.1098
What is 0.062367 times 2.7?
0.1683909
Multiply 7 and -52465.
-367255
Work out 1.3 * 1442.
1874.6
Calculate -0.2*136311.
-27262.2
Work out -176 * -0.76.
133.76
Multiply -51 and 157.
-8007
Work out 696.961 * 0.4.
278.7844
-0.59 * -0.0154
0.009086
49.4219*-2
-98.8438
1 times 21155
21155
0.025322 * -21
-0.531762
Calculate -1054*4115.
-4337210
Work out 906.3 * -9.
-8156.7
Calculate 171.2*1.05.
179.76
What is -0.04603 times 5?
-0.23015
Product of 2.2 and -129.
-283.8
What is -0.6001 times -215?
129.0215
What is the product of -128.4 and 66?
-8474.4
Multiply -1 and 199.18.
-199.18
-59*-651
38409
-0.2 times 77686
-15537.2
1 * 0.089767
0.089767
What is the product of 4 and 1687.04?
6748.16
Multiply -1 and 7693.
-7693
15.908*-0.16
-2.54528
Work out 0.15633 * 8.
1.25064
-564404 * -3
1693212
-32187 times -1
32187
Product of -0.1609 and -2916.
469.1844
Multiply 3 and 15965.
47895
18257 times 0.5
9128.5
Product of -17283 and 0.1.
-1728.3
What is the product of -0.01939 and -1.3?
0.025207
Multiply 2.12094 and 1.
2.12094
Work out 205.9 * -123.
-25325.7
What is 3311.5 times -20?
-66230
Multiply 9 and -0.08089.
-0.72801
What is -5 times -27559?
137795
9.318 times -3.8
-35.4084
Work out 79375 * 0.1.
7937.5
What is 29.7 times -3.063?
-90.9711
Calculate -258389*2.
-516778
Product of -60 and -0.6565.
39.39
Product of 0.001 and 2827.
2.827
What is the product of 220 and -6631?
-1458820
What is 266.94 times 37?
9876.78
Multiply 0.1 and -1.16539.
-0.116539
Calculate -942*-16.7.
15731.4
Work out -28991 * 0.006.
-173.946
Calculate 645*1593.
1027485
5.7723*5
28.8615
What is the product of 12.165 and -37?
-450.105
Multiply 13 and 89531.
1163903
-0.4*-484184
193673.6
6087 * 9
54783
What is -0.04 times -34.417?
1.37668
-2125504 times 0.3
-637651.2
What is 8713 times 8.9?
77545.7
Multiply 1 and -9271.
-9271
What is the product of 12.3 and 1.42?
17.466
Work out -0.129974 * 1.
-0.129974
-74273 * 3
-222819
Work out -0.036 * 2889.
-104.004
What is the product of 0.054 and -3082?
-166.428
Multiply 33499 and -4.7.
-157445.3
Multiply -2 and -1.3729.
2.7458
5 * -7878
-39390
What is 0.61203 times -0.5?
-0.306015
Work out 58486 * -0.4.
-23394.4
Product of 2078 and 53.
110134
What is the product of -4 and -285529?
1142116
Work out 0.1 * -110022.
-11002.2
Multiply 30.42 and -42.
-1277.64
Work out 0 * 14750.
0
143705 times -0.3
-43111.5
What is -1 times -0.558?
0.558
Multiply -45.19 and 6.
-271.14
Calculate -0.0528*165.
-8.712
Calculate 0.03226181*0.3.
0.009678543
-0.02618*18
-0.47124
0.4 * -404231
-161692.4
274.8*-181
-49738.8
516384 * 1
516384
What is -4 times 7140?
-28560
What is the product of 12 and 0.133?
1.596
-64.33*-0.5
32.165
Calculate -0.4*0.265443.
-0.1061772
Multiply 707 and 412.
291284
-2.1 * -0.0133
0.02793
-753.3 times 31
-23352.3
Calculate 580460*-0.2.
-116092
0.98*-7.6
-7.448
-1.2081 times 5
-6.0405
Work out 0.4 * 2909.
1163.6
-5.21301*3
-15.63903
1*-23463
-23463
0 * -12.68387
0
Work out 41 * 0.3.
12.3
2155.4 * -0.53
-1142.362
Multiply -2.4356 and -0.3.
0.73068
What is the product of 0.8 and 2470?
1976
0.143 * 1001
143.143
Calculate 23.48*0.4.
9.392
Multiply -1990 and -5.8.
11542
Product of -0.201 and -2.31.
0.46431
Calculate 0.6*-2799.39.
-1679.634
What is the product of 3 and 26716?
80148
Product of -101 and -852.
86052
Multiply -22 and -209.7.
4613.4
Calculate -118*0.00035.
-0.0413
0.1 * -1049655
-104965.5
Product of 593 and -107.
-63451
What is -352 times 0.036?
-12.672
3*4.66214
13.98642
Product of -0.2 and -113.779.
22.7558
Work out 0.03 * 18783.
563.49
Multiply -3 and -261446.
784338
Calculate -2724*4.2.
-11440.8
-3471*-17
59007
Calculate -520348*18.
-9366264
Multiply -30 and -15.1486.
454.458
What is the product of 54.2 and 0.086?
4.6612
15.62 times 111
1733.82
Calculate 232*-2766.
-641712
Multiply 0.01794 and -0.57.
-0.0102258
What is the product of 25.53 and 433?
11054.49
-11.099*0.09
-0.99891
-1945 times -3
5835
Product of 0.4 and 431.
172.4
Work out 3 * 2484.
7452
Calculate -1557.37*-0.1.
155.737
3.2572 * 56
182.4032
Calculate 33966*0.02.
679.32
0.06*-0.001416
-0.00008496
-0.009 times -25830
232.47
What is the product of 10 and -1791?
-17910
-0.2*583.305
-116.661
What is the product of 16 and -0.4256?
-6.8096
0.15349*-0.4
-0.061396
Product of 22 and 18899.
415778
Product of 236.64 and -53.
-12541.92
Work out 0.4 * 1647.18.
658.872
Calculate -0.04*5243.
-209.72
What is the product of -12000 and -2?
24000
What is -19 times -1532?
29108
Multiply -3337 and 111 | {
"pile_set_name": "DM Mathematics"
} |
3. Let l = -0.12 + 5.12. Which is the second biggest value? (a) k (b) x (c) l
a
Let i = -0.04 - -0.44. Let p = 97225 + -1261726/13. Let z = -169 + p. Which is the third smallest value? (a) i (b) z (c) 0.2
a
Let y = 2.2 + -1.9. What is the second smallest value in y, 2/3, 0.2?
y
Let v = 8523374/28357 - 10/4051. Let u = v + -300. Let k(r) = r**3 + r**2 + r + 2. Let m be k(-2). Which is the third smallest value? (a) m (b) u (c) -3/4
b
Suppose -3*s + 29 = -76. Suppose -11 = -3*v - 62. Let t be (-3)/(-15) + v/s. Which is the second biggest value? (a) t (b) 0.5 (c) -5
a
Let w = 0.05 + -0.13. Let o = -32 - -31.62. Let g = o - w. Which is the third biggest value? (a) -1/2 (b) 1/3 (c) g
a
Let s = 1 + -2. Let w = 1 - 5. What is the smallest value in w, -2/21, s?
w
Let l = 0.2 + -0.2. Let d be (1/16)/(1/(-6)). Let g = -0.21 + 5.21. Which is the second smallest value? (a) l (b) d (c) g
a
Suppose -d = -p + d + 19, -4*p = 4*d - 16. Let r be (-2)/4*(-6)/p. Which is the second smallest value? (a) r (b) -2/3 (c) 5
a
Let d = -0.1 + 0.3. What is the second smallest value in -2/3, d, -2/9, 5/3?
-2/9
Suppose -3*o - o + 24 = 0. Let p = 8 - o. Let b = 460.1 + -460. What is the third smallest value in p, b, -4?
p
Suppose -p - 3*p - 16 = 0. What is the third biggest value in 0.4, p, 1/4?
p
Let b = 5.92 - 6. Let k = -0.22 + b. Let g = 0.6 + k. What is the third biggest value in -5/2, g, -1/3?
-5/2
Let f = 0.5 - 0.8. Suppose -4*x + x + 3 = n, 2*n + 14 = 4*x. Which is the biggest value? (a) f (b) 2/5 (c) x
c
Let v = -0.41 + 0.01. Let m = -0.2 - v. What is the smallest value in m, -3/8, 4?
-3/8
Let y be -2 - ((-153)/8)/9. Which is the third smallest value? (a) y (b) -1 (c) -3/2
a
Suppose c - 3 = -5. Let b be (60/33 + c)*-1. What is the biggest value in b, 1/2, -3/2?
1/2
Let n = 2 - 1.5. Let i = 2.5 - n. Which is the smallest value? (a) 5 (b) 4 (c) i
c
Let p = -7 + 7.7. Let i = 5.7 - p. Which is the biggest value? (a) 1/3 (b) 4 (c) i
c
Let o = 81 + -51. Let f be 0 + 3/o*2. Let v = -3 + 2. Which is the smallest value? (a) f (b) v (c) 2/3
b
Let y = -19/12 + 7/3. Let j(x) = -2*x + 6*x - 3*x. Let w be j(3). Which is the second smallest value? (a) y (b) 0 (c) w
a
Let t be (2 - 1/1)*127. Let h = 1399/11 - t. Let l = -700/9 - -78. What is the smallest value in l, h, 0.4?
h
Let b = 0.07 - 5.07. Let i = b - -4.8. What is the third smallest value in -3, i, 2/19?
2/19
Suppose -2*h + 4*u = u + 6, -4*h - u - 12 = 0. Which is the smallest value? (a) h (b) 3/8 (c) -1.2
a
Let v = 0.57 - -0.02. Let j = -0.19 + v. Which is the biggest value? (a) -4 (b) j (c) -3/4
b
Let r = 471/38 + -25/2. Which is the second smallest value? (a) r (b) -4 (c) 2
a
Let h = -8 - -7.8. Suppose -4*u = u - 5. What is the second biggest value in -0.4, u, h?
h
Let j = 2234/9 + -248. What is the third smallest value in j, -3, -5, 2/5?
j
Let s = 3.12 + -0.12. Let c = -4 + 5. What is the third biggest value in s, -5, c?
-5
Suppose 6*z - 12 = -0*z. What is the smallest value in -3/2, z, -5?
-5
Let j = 8/21 + 20/21. Let v = 0.5 + -1. Let m = 1.5 - v. Which is the second biggest value? (a) j (b) m (c) -2
a
Let r = -4 - -11. Let w be (-22)/(-6) + (4 - r). Which is the third smallest value? (a) 5 (b) -1/8 (c) w
a
Let y(n) = -n**3 + 7*n**2 + 7*n + 7. Let r be y(8). Which is the third biggest value? (a) 1 (b) 2/11 (c) r
c
Let o = -3.95 + -0.05. Let n = -6.94 - -7. Let c = n - -0.34. What is the second smallest value in 0.2, o, c?
0.2
Let h be (2/3)/(100/(-30)). Suppose 0 = 4*o - o - 12. What is the second smallest value in -2/5, h, o?
h
Let k = 1755747737/585 - 3001279. Let w = -2/117 - k. What is the second smallest value in 0.1, w, -5?
0.1
Let h = 7.14 - 0.14. Let q = h - 2. What is the third smallest value in q, -5, -2/9?
q
Let v = 23.4 + -23. Which is the second smallest value? (a) v (b) -1 (c) 0
c
Let l = 0.4 + -2.4. Let m be ((-278)/2)/(-4 + 1). Let n = 46 - m. Which is the third smallest value? (a) n (b) l (c) -0.2
c
Let o = 1 + 4. Let x(q) = -q. Let j be x(o). What is the third smallest value in -1/4, 4, j?
4
Let f be 1*((0 - -1) + -1). Let t = -1.2 - -6.2. Let k = 6 - t. Which is the smallest value? (a) 2/11 (b) f (c) k
b
Let w = 284/435 + 2/145. Which is the biggest value? (a) -6 (b) -2 (c) w
c
Let v be 0 - (-2)/(-5) - 704/(-1360). What is the smallest value in 0, -1/2, v, 1?
-1/2
Let i = -22 - -22.5. Let o = -4 + 3. Let h = o + i. Which is the second biggest value? (a) -3 (b) -1 (c) h
b
Let t be -8*((-5)/2 + 2). Suppose -t*i + 36 = -4*v, v + 5*i - 5 = 16. Let g = 0.3 - 1.3. Which is the second biggest value? (a) v (b) 0 (c) g
c
Let q = 0.6 + -1. Let g = q - -0.2. Let i = -6 - -5. Which is the biggest value? (a) 0.1 (b) i (c) g
a
Let z = -15/2 + 29/4. What is the third smallest value in -2/3, 2, z?
2
Let d = -7.4 - -10.4. What is the third biggest value in d, -1, 0.4?
-1
Let y be (29/16 - 2)*-4. Let l = -0.25 + -0.05. What is the biggest value in -0.7, y, l?
y
Let o be 226/(-1284)*(5 - 3). Let w = -2/107 - o. Let z be ((-2)/(-2))/((-7)/2). Which is the third smallest value? (a) w (b) 0.5 (c) z
b
Let j = -0.36 + 0.06. Let z be (25/(-4) - -5)*-4. What is the third smallest value in j, z, 0?
z
Let o = -91.3 + 91. Let u = -0.08 - -3.08. Which is the biggest value? (a) o (b) u (c) -1/8
b
Let m = -9 + 4. What is the second smallest value in 3, m, 5?
3
Let r(d) = d**3 + 9*d**2 - d - 8. Let w be r(-9). What is the third biggest value in -0.3, 2, -1, w?
-0.3
Let a be (-6)/4*(-8)/90. What is the third smallest value in a, 3/2, 4, 9?
4
Let k = 6.7 + -9.7. What is the biggest value in -2/7, 6/13, k?
6/13
Let h be (-3)/2*4/(-15). Let s = 3.4 - 3. Let m = s + 0.1. Which is the second biggest value? (a) 4/9 (b) m (c) h
a
Let p = 0.03 + 0.17. Which is the biggest value? (a) -2/17 (b) 0 (c) -0.5 (d) p
d
Let h = 28 + -26. Let g(l) = -l**3 - 3*l**2 + 4. Let y be g(-3). Which is the third biggest value? (a) h (b) 0.1 (c) y
b
Let r = -4 - -1. Let o = -8 - -2. Let g = 4 + o. What is the third smallest value in g, r, -0.1?
-0.1
Let t = -3.4 - -3. Let i = 13 - 25. Let x = i + 12.03. Which is the third smallest value? (a) t (b) 0 (c) x
c
Let h = -2.13 - -0.13. Which is the second biggest value? (a) -1/3 (b) -1 (c) h
b
Let m = 33 + -29. Which is the second biggest value? (a) 0 (b) 9 (c) m (d) -1
c
Let w = 69.1 + -65.91. Let r = -0.19 + w. Which is the second smallest value? (a) -3/4 (b) r (c) 1/8
c
Let p = -3.99 - -4. Let n = p - -1.99. Let d = -0.2 - 0. Which is the third biggest value? (a) d (b) n (c) -1/4
c
Let k = 2 + 2. Let s = -50.3 - -50. What is the biggest value in s, -1, k?
k
Let f = -152 - -146.6. Which is the smallest value? (a) f (b) 2 (c) -2 (d) -5
a
Let c be ((-22)/(-495))/((-1)/(-3)). What is the third biggest value in -1/3, c, -1?
-1
Suppose -p - p = 0. Let r(h) = h**3 - 18*h**2 - h + 16. Let w be r(18). What is the third smallest value in p, -0.5, w?
p
Let y = -1.6 - -1.47. Let x = y - -0.03. What is the second smallest value in -5, -3/8, x?
-3/8
Let u be 40/(-350)*(-10)/4. Which is the biggest value? (a) -2/5 (b) 1 (c) u
b
Let m = -85/62 + -4/31. Let q(j) = j**2 - 22*j + 76. Let t be q(4). What is the second smallest value in t, 1, m?
1
Let w = -9.3 - -9. Let o = -7 + 4. Suppose j + 1 - 6 = 0. Which is the second biggest value? (a) j (b) o (c) w
c
Let z = -0.1 + 13.1. Let f = z - 12.6. Which is the third smallest value? (a) f (b) -4 (c) -4/7
a
Let h = 0.8 + -0.3. Let k = -15 + 12. Which is the biggest value? (a) h (b) k (c) -4
a
Let r = 3 - 6. Let l be (8/6)/(3/129). Let j = l - 58. What is the third smallest value in j, 0.5, r?
0.5
Let y be -4 + 6 + (-15532)/(-2). Let o be 1/3 + y/42. Let c = o + -185. What is the second biggest value in 1, c, 2/11?
c
Let q = 23 + -23.1. Let v = -0.5 + 2.5. Let c = -2.3 + v. What is the second smallest value in q, c, -5?
c
Let b(o) = o**3 + 6*o**2 - 2. Let q be b(-6). Let j = -7 - -6.6. What is the second biggest value in 2, q, j?
j
Let f = -2 - -3. Let o = 28.2 - 29. Let l = f + o. Which is the second smallest value? (a) l (b) -0.4 (c) -1
b
Let h = -5.9 + 6. Let j be -3 - -3 - 1 - 4. Which is the third smallest value? (a) j (b) h (c) -0.5
b
Let q = 71/2 | {
"pile_set_name": "DM Mathematics"
} |
1377) - (sqrt(1377) + -2)) + -3 + sqrt(1377) - (0 + sqrt(1377) + -3*sqrt(1377) + 0)) + 5))**2.
559872*sqrt(17) + 16144272
Simplify (((-6*(-1 + -1*sqrt(684) + sqrt(684)) - (4*(sqrt(684)*-1 - sqrt(684)) + -5)) + 5)*6*3 + 0)**2.
497664*sqrt(19) + 14266368
Simplify 6*(-3*(sqrt(153) + sqrt(153) + -3 + sqrt(153) + -1 + sqrt(153) + 1*sqrt(153)*3))**2.
-9072*sqrt(17) + 405702
Simplify -5 + ((sqrt(1225)*-3 - sqrt(1225)) + sqrt(25) + (sqrt(1600)*3 - sqrt(1600)))/((sqrt(1470)*2)/(2*sqrt(864) - sqrt(864))).
-66*sqrt(5)/7 - 5
Simplify ((sqrt(192) + (sqrt(192) - -2*sqrt(192)))**2*3 - (sqrt(192) + 0 + 3)) + 0 + 5 + 4 + ((sqrt(192)*-1 - sqrt(192)) + 1)**2.
-40*sqrt(3) + 9991
Simplify (5 + -3*5*(sqrt(76)/(sqrt(4) + sqrt(4) + sqrt(144)) + -2 + sqrt(475)))**2.
-21525*sqrt(19)/4 + 7264675/64
Simplify (2*((sqrt(187)*2 - sqrt(187)) + sqrt(187)) + -3*(sqrt(187)*1 + sqrt(187)))/(5*3*sqrt(891)*-4).
sqrt(17)/270
Simplify ((sqrt(250) - (sqrt(250) + (2*sqrt(250) + sqrt(250))*2))*-5*-2)/((-1*sqrt(50)/sqrt(2))/(sqrt(5) + -3*(sqrt(5) - sqrt(80)))).
3000*sqrt(2)
Simplify (4*(-1*sqrt(76) - 5*sqrt(304))*3)**2 + (3*sqrt(5700) + sqrt(57))/((sqrt(6)*-2 - sqrt(6))/sqrt(2)).
-31*sqrt(19)/3 + 1324224
Simplify sqrt(208)*2*-2 + -3 - (-1*(sqrt(91)/sqrt(7) - sqrt(13)) - sqrt(1053)*-3)**2.
-9480 - 16*sqrt(13)
Simplify -4 + (2*sqrt(882))/((-1*sqrt(24))/sqrt(4)) + (sqrt(36)/sqrt(3) + 5 + sqrt(3)*-2 + (sqrt(3) + -4 + sqrt(9)/sqrt(3))*-1)**2.
-50*sqrt(3) + 89
Simplify (0 + -4 + (sqrt(2736) + 0 - sqrt(2736)) + -2 + -2*sqrt(2736)*-2 + -4 + 1*sqrt(2736) + sqrt(2736) + 0 + -2)**2.
-1728*sqrt(19) + 98640
Simplify (-5*-4*-1*sqrt(200))/(sqrt(90) + (-3*sqrt(90) - sqrt(90))*-1).
-8*sqrt(5)/3
Simplify (sqrt(84)/(1*sqrt(1728) - sqrt(12)) + 1 + 1*(sqrt(7) + 1 + sqrt(7) + -1 + sqrt(7) + sqrt(7) + sqrt(7)) + -4)**2 + 2.
-336*sqrt(7)/11 + 23283/121
Simplify ((sqrt(1575)*-3 - sqrt(1575)) + sqrt(63) + (sqrt(441)*-2)/sqrt(7))/(6*(sqrt(81)*4 + sqrt(81))).
-7*sqrt(7)/30
Simplify (sqrt(56)/sqrt(4))/sqrt(7) + 4 + (2*sqrt(18) - (1 + (0 + sqrt(2))**2)) - (2*sqrt(864))/(sqrt(108)/(2*sqrt(9))).
-17*sqrt(2) + 1
Simplify -4*(3*(sqrt(72) - (-5*(0 + sqrt(72)) + sqrt(72))**2) + (-4*(-4 + sqrt(242) + 2*sqrt(242)))**2).
-126592 + 16824*sqrt(2)
Simplify ((2*(sqrt(133)*2 + sqrt(133)))/(sqrt(21)/sqrt(3)*5))**2 + ((-1*sqrt(228))/sqrt(12) - ((((sqrt(114)*-3)/sqrt(6))**2 - sqrt(19)) + sqrt(19))).
-3591/25 - sqrt(19)
Simplify (-1*sqrt(3328)*-5)/((sqrt(24) + (sqrt(24) - 6*sqrt(24)*4) + sqrt(24))/sqrt(6)) + -4.
-40*sqrt(13)/21 - 4
Simplify ((-5*(sqrt(77) + sqrt(77)*-1)*-6*4)/(-6*sqrt(11)*2 - (sqrt(99) - -3*sqrt(99))))**2.
0
Simplify (sqrt(80) + -1 - sqrt(80))*3 - (sqrt(80)*1 + 2)**2 - ((-4*sqrt(80)*-2 - (sqrt(80)*-1 + 2 - sqrt(80))) + 0)**2.
-8091 + 144*sqrt(5)
Simplify ((sqrt(2200) - (sqrt(2200) + (sqrt(2200)*2 - sqrt(2200)) + sqrt(2200)))/sqrt(2) - (-3*sqrt(44)*3)**2) + -4 + -2*-2*sqrt(2156).
-3568 + 36*sqrt(11)
Simplify (-5*((-4*-1*sqrt(171) - sqrt(171)) + 2*sqrt(171)*-2))/((sqrt(900) - 1*sqrt(900))*5 + (sqrt(900) - (sqrt(900) + 2*1*sqrt(900)))).
-sqrt(19)/4
Simplify -1*(-3 + -4*(((sqrt(304) + 1)*-2)**2 + sqrt(304) + 0 + (sqrt(304) + -1)**2)*1).
112*sqrt(19) + 6103
Simplify (((sqrt(800) + 1*sqrt(800)*-2)*-3)/((-2*sqrt(70)*2)/(-5*(sqrt(7) - ((sqrt(7) - sqrt(7)*2) + sqrt(7))))))**2.
1125
Simplify (sqrt(19) + sqrt(133)/sqrt(7))*3 + (sqrt(190) + (sqrt(190)*3 - sqrt(190)) + sqrt(190))/sqrt(10) - ((-3*sqrt(475))**2 - sqrt(57)/(sqrt(9)/sqrt(3))).
-4275 + 11*sqrt(19)
Simplify 4 + (2 + sqrt(441)/sqrt(7) + -2 - (-3 + ((-3*sqrt(77)*5 - sqrt(77)) + sqrt(77))/sqrt(11))).
7 + 18*sqrt(7)
Simplify ((sqrt(4719) + 1*sqrt(4719)*-3 + sqrt(4719))*1)/((-1*sqrt(18)*6 + sqrt(18))/((sqrt(168)/sqrt(4))/sqrt(7))).
11*sqrt(13)/5
Simplify -1 + (-2 + sqrt(425) + 3)**2 + -2 + (sqrt(425) + 1 + -4 + sqrt(425) - ((sqrt(425) + -1 - sqrt(425)) + -1))**2.
-10*sqrt(17) + 2124
Simplify (3*((-3 + 5 + -4*-4*(sqrt(343) + 2))*-3 + -5))**2.
647136*sqrt(7) + 7215489
Simplify (2*sqrt(384))/(sqrt(88)/(2*sqrt(11)) + sqrt(8) - sqrt(8)) + (2 + -2*sqrt(243))**2 + 0 + sqrt(192) + 1 + sqrt(192).
-40*sqrt(3) + 977
Simplify -2 + 0 + (sqrt(304))**2 + 0 + 5 + -2*(sqrt(1216) + -3 + 1).
-16*sqrt(19) + 311
Simplify -4 + (6*(-2*sqrt(637) - sqrt(637)) + -1 - (1 + sqrt(637) + -1 - ((-2*sqrt(637) - sqrt(637)) + -3)))**2.
1232*sqrt(13) + 308320
Simplify 1 + ((-1 + sqrt(325) + sqrt(325)*1 + sqrt(325) + ((sqrt(325) + 1)*-3 - sqrt(325)))*-2)**2 + -3*sqrt(325) + 2 + (sqrt(325) - (sqrt(325)*-3 + -2))**2.
225*sqrt(13) + 6571
Simplify 1 + (sqrt(56)/(-2*sqrt(288) + sqrt(288)))**2 + 0 + -4 + 2 + 4.
115/36
Simplify (-3 + -5 + (-1*(sqrt(500) + -2) + -4*sqrt(500)*-2 - 4*(5*(-1 + sqrt(500)) - sqrt(500))))**2.
-2520*sqrt(5) + 40696
Simplify (3*(sqrt(85) + 3*sqrt(85)*-2 + (sqrt(85) - (sqrt(85) + 1*(1*sqrt(85) - sqrt(85))))))/((5*sqrt(5) - sqrt(5))*1 - sqrt(720)*1).
15*sqrt(17)/8
Simplify (sqrt(63) - ((sqrt(567) - sqrt(567)*-3)/sqrt(9) - sqrt(63)) - (3*sqrt(9072) + sqrt(9072)))/(-4*-5*sqrt(1296)).
-5*sqrt(7)/24
Simplify (-2*2*(sqrt(4356) + sqrt(4356)*-1))/(-2*(sqrt(12) + sqrt(120)/sqrt(90))*6).
0
Simplify ((2 + 0 + -4 + sqrt(117) + 1 + -4)*-3)**2*-6 + -4.
-7672 + 1620*sqrt(13)
Simplify ((sqrt(11) - (sqrt(11) - (sqrt(11) + 0 + sqrt(11))*2 - sqrt(11))**2)*-4 + 0 - (4*sqrt(88))/(sqrt(8)/(-1*sqrt(4) - sqrt(4)))) + 5.
12*sqrt(11) + 709
Simplify (((sqrt(96)*-1 - sqrt(96)) + sqrt(96))*6*-4)/(6*-2*sqrt(1152)) + 1.
-sqrt(3)/3 + 1
Simplify (1 + -5 + (sqrt(637)*-1*2 - (1 + (-1*sqrt(637) - sqrt(637)) + sqrt(637))) + 5)**2.
637
Simplify ((sqrt(77)*2 - sqrt(77))*-1*-5*3)/(-1*(sqrt(1331) - sqrt(1331)*2) + sqrt(1331) + -2*sqrt(1331)*-1).
15*sqrt(7)/44
Simplify -5 + (-2*sqrt(1728)*2)/(4*(sqrt(81)/sqrt(3))/sqrt(3)) + -4.
-8*sqrt(3) - 9
Simplify (sqrt(275)/(sqrt(375)/sqrt(3) - sqrt(5))*-2)/(-6*-3*(sqrt(405) + (-1*sqrt(405) - sqrt(405)))).
sqrt(11)/324
Simplify 4*(6*(-5 + (-4*sqrt(832)*1 + (-1*sqrt(832) - sqrt(832) - sqrt(832))*4)**2) + 3).
5111700
Simplify (sqrt(648) + 1 + (sqrt(198)*2 - sqrt(198))/sqrt(11) - (0 + sqrt(648))*6*6)**2*-4*2.
-6290072 + 10032*sqrt(2)
Simplify -1 + ((1*(-4*(1 + sqrt(475)) - sqrt(475)) - ((sqrt(475) - (-2 + sqrt(475) + -1 - sqrt(475))) + (sqrt(475)*-1*-3 - sqrt(475)))) + -5)**2.
960*sqrt(19) + 30543
Simplify 2*((4*((sqrt(475) - sqrt(475)*1) + sqrt(475)))**2*5 - (-4 + 2 + sqrt(684) + (sqrt(684) + 1)*4)**2).
-240*sqrt(19) + 41792
Simplify 3 + (sqrt(50)/(sqrt(1000) - sqrt(1000)*-4))**2 - (0 + 4*sqrt(5)*-4 + 2).
501/500 + 16*sqrt(5)
Simplify (sqrt(143)*1*2)/(-3*(sqrt(275) + sqrt(11))) - (4 + (6*(sqrt(1300)*-4 + sqrt(1300)))**2).
-421204 - sqrt(13)/9
Simplify 0 + 2*(1*sqrt(3584)*-5 + sqrt(3584))/(2*(sqrt(288)*-3 - sqrt(288))).
4*sqrt(7)/3
Simplify -2 + (((sqrt(539) + -2)*-5 + sqrt(539) + (sqrt(539) + 2)*-5)**2 - (-3*-1*(sqrt(539) - 3*sqrt(539))*3)**2).
-130979
Simplify 3 + sqrt(275) + 3 + -5 + (-4*-4*sqrt(891)*3)**2.
5*sqrt(11) + 2052865
Simplify -4 + ((sqrt(275) + (sqrt(275) + 0)*3)**2*6 - ((sqrt(275) + -2 - sqrt(275))**2 + 1 - sqrt(275))*2).
10*sqrt(11) + 26386
Simplify ((1 + sqrt(720) + 5 - sqrt(720) - (sqrt(720) + (-4*(sqrt(720) + 1) - sqrt(720)))) + 0 + (sqrt(45)*-6)/sqrt(9)*-3)**2.
1320*sqrt(5) + 21880
Simplify ((sqrt(132)/(sqrt(12)*-1))**2 - ((1 + sqrt(11) - sqrt(11)) + -5))*-5 - (sqrt(132)*2*2)/(sqrt(132)/(sqrt(22)/sqrt(2))).
-75 - 4*sqrt(11)
Simplify (-2 + ((sqrt(684) - (0 + -2*sqrt(684)))*-6 + 1 + sqrt(684) + 1 + 3 + 2)**2)*-4.
-790892 + 5712*sqrt(19)
Simplify (sqrt(637)*1*-2 + 4 + (1 + 2*sqrt(637) - (-4 + -1*sqrt(637))))**2 + 1 + 3.
126*sqrt(13) + 722
Simplify -4*(4 + (1 + sqrt(468) + -5 - sqrt(468)) + sqrt(468) - (-4 + (-1 + sqrt(468) + sqrt(468))*-3))**2.
-91732 - 336*sqrt(13)
Simplify ((sqrt(195) + (sqrt(195) + (sqrt(195) - (sqrt(195) + 2*sqrt(195))))*-2)/((sqrt(60)/sqrt(3))/sqrt(4)))/(3*4*sqrt(3)*-2*-4).
sqrt(13)/32
Simplify (sqrt(26)/((sqrt(32) - sqrt(8))/sqrt(4)))**2 - ((2*sqrt(325))**2 + 2) - (4 + -6*(1*sqrt(130)/(sqrt(10)*-2))**2).
-2547/2
Simplify (1 + -3*(-2 + sqrt(243)) + (-2*(0 + sqrt(3))**2 + sqrt(3) - (sqrt(27) + -1)))*1.
-29*sqrt(3) + 2
Simplify ((-1*(sqrt(1100) + sqrt(1100)*-2 + sqrt(1100) + 0) - (3 + 2 + sqrt(1100)*-1)) + 5 + -2)**2.
-40*sqrt(11) + 1104
Simplify 0 + ((2*sqrt(120)/sqrt(4))/((sqrt(5) + sqrt(80))*-3))/(sqrt(768)*2 + sqrt(12) - (sqrt(1200) - 2*sqrt(1200))).
-s | {
"pile_set_name": "DM Mathematics"
} |
q**2 + 3*q - 8. Let j be l(-5). Is j at least as big as 8/13?
True
Let v = 126 - 120. Which is greater: 1/5 or v?
v
Let i = -29 + 18. Is -9 not equal to i?
True
Let d be 294/(-45) - 3/(-9). Suppose 3*a + 2*a - 15 = -5*c, -5*a = 3*c - 3. Let w = d + c. Is w equal to 1?
False
Suppose 3*v - 4 = -v. Let k = 0 + 5. Let i be (v/3)/(k/(-15)). Which is smaller: -2 or i?
-2
Let t be (3/(-4))/(270/(-9)). Is t less than or equal to 0?
False
Let k(p) = -p**3 - 7*p**2 + 10*p + 17. Let n be k(-8). Is -2/89 < n?
True
Suppose 2*l = -2*l + 4. Suppose -l + 11 = 5*q. Suppose -r = q*r. Is 4/9 <= r?
False
Let x = 38 + -113/3. Which is greater: x or 1?
1
Let b be 54/(-10) + (-2)/(-5). Which is smaller: b or -6?
-6
Suppose 3*x + 16 + 8 = 3*s, 4*x = s - 23. Suppose 0 = -i - 4*l - 4, -s*i - 3*l + 15 + 0 = 0. Are i and 8 nonequal?
False
Let c be (-4)/3*150/(-20). Is c < 1?
False
Suppose t + 0*t = -7. Which is greater: t or -6?
-6
Suppose 0*c - 4 = -2*c. Suppose -3*z + 5 = c. Let w be (-4)/3*6/(-4). Which is smaller: w or z?
z
Suppose -2 = -2*b + 6. Let h be (-2)/4 + 6/b. Which is greater: h or -1?
h
Suppose 72 = -p + 5*p. Let v be (-8)/36 - (-1)/p. Which is bigger: 0 or v?
0
Suppose -z + 4*d - 5 + 0 = 0, 4*z - 2*d + 6 = 0. Which is bigger: -5/8 or z?
-5/8
Let b(c) be the second derivative of c**4/12 - c**3/6 - c. Let p be b(0). Let k = 105/202 + -2/101. Which is bigger: p or k?
k
Let i = -9 + -12. Is -21 <= i?
True
Let r = 2 + -2. Let i = -11 + 8. Which is bigger: i or r?
r
Let n = -0.3 + 0.4. Let c = 2 - 5. Let a = c - -1. Which is bigger: a or n?
n
Suppose -7*y - b - 9 = -3*y, 5*b = -25. Let p = -3 + 5. Let k be (-6)/4 + p/4. Is y < k?
False
Suppose -3*l = 9, 0*w + 2*l + 144 = 3*w. Suppose -4*r + w = -2*r. Let m be -2 - (r/(-7) + 1). Which is smaller: -1/4 or m?
-1/4
Suppose 0 = -2*x + 19 + 49. Let a = x - 18. Is 15 greater than a?
False
Let x(p) = p - 4. Let f be x(-10). Let l be (-4)/f - 8/28. Suppose -2*q + 2*u - 10 + 2 = 0, l = 3*q + u. Is -2 >= q?
False
Suppose -50 = 5*v + 2*x, 5*v - 3*x = -30 - 20. Is -3 != v?
True
Let c be ((-16)/30)/(42/(-175)). Which is bigger: c or 2?
c
Suppose 5*j + 13 = 8. Is -3/5 <= j?
False
Suppose -4*a - 54 = 42. Let k be ((-18)/a)/((-126)/(-16)). Which is smaller: k or 1?
k
Suppose -4*t + 4*m = 24, -2*t - 12 = 4*m - 2*m. Let u be (7 + -1)*(-3)/t. Which is bigger: u or 4?
4
Suppose 4*a - 3 = -27. Let u be 10/15 - (-16)/a. Suppose -2*z - 3*o = -12, 4*o - 18 = -4*z - 2. Which is smaller: u or z?
u
Let d(f) = -f**2 + 7*f - 9. Let o be d(6). Let t = o - 6. Is t >= -7?
False
Let l = -239/11 + 22. Which is bigger: l or 0?
l
Let c be 1 - (-1)/((-4)/5). Let p = -12 - -11. Which is greater: c or p?
c
Let f = -14 - -18. Suppose 3 = 5*s - f*s. Which is greater: 9/5 or s?
s
Let y = 39.8 - 40. Let q = -25 - -38. Let b = -18 + q. Is b smaller than y?
True
Let s = 39 + -7. Are s and 33 unequal?
True
Let d = 0.13 + -3.13. Let r = 0 - -0.1. Is r at least as big as d?
True
Suppose -g - 2 = 2. Let f be g/(-54)*(-18)/(-12). Is 1 not equal to f?
True
Let w be 1 - (35/(-4))/(-5). Is 0.09 less than w?
False
Let u = -3203/308 - -114/11. Let i = u + 59/84. Is i less than -8?
False
Let h = 197/6 + -33. Is -1 less than h?
True
Let f(c) = c - 9. Let z be f(-6). Let y = 3 + -1. Let p be (3/z*-4)/y. Which is greater: p or 7/5?
7/5
Let c = -18 + 17. Let x = 1/28 - -45/308. Is c != x?
True
Let p = -805/6987 + -1/411. Which is smaller: p or 1?
p
Let u = 8 + -4. Suppose 4*c + 13 = -j + u, 4*c + 14 = -2*j. Let t be 1/(-4) + (-1)/(-36). Is c > t?
False
Let r = -16 - -13. Let p = -11 - r. Is 2 at least p?
True
Let d = -0.7 + 0.7. Let s = 2 + -2. Let n = d - s. Is 2/3 at most n?
False
Let o = 175 + -1580/9. Is o greater than or equal to -0.2?
False
Let t = -19 - -20. Does t = -2/15?
False
Let f be (2/(-15))/(15/25). Let n = 17.9 + -18. Which is smaller: f or n?
f
Suppose 5*c = -4*h + 2*h + 54, -3*c + 5*h + 20 = 0. Is c at least 9?
True
Let y be 0 + (-31749)/429 + 1. Let o = -798/11 - y. Let t = o - 11/52. Is t bigger than -1/2?
True
Let q(o) = -o**3 + 2*o**2 + 3*o - 4. Let d be q(3). Let l(c) = -2*c + 5. Let i be l(4). Let u be -1 + ((-6)/(-2))/i. Which is greater: u or d?
u
Let a = 11 + -7. Suppose 0 = f + f - 10, 3*f - 3 = a*w. Is 2 not equal to w?
True
Let v = -10.4 + 9.47. Is 0.1 greater than v?
True
Suppose 7*k - 5*k - 10 = 0. Suppose 3*i - 2*m = -3, -2*i + 2*m - k*m - 2 = 0. Which is smaller: i or -2/39?
i
Let p = 11 - 9. Let y = p + 1. Is 4 less than y?
False
Let l = -8/29461 + 144447395/412454. Let a = l - 350. Is -1 less than or equal to a?
True
Suppose -2*x - 3*x + u = -33, -4 = -2*u. Suppose l = -0*c + 5*c - 32, -3*c - l = -16. Are x and c equal?
False
Let c = -22 - -22. Are -1 and c unequal?
True
Suppose 0 = -4*d + 8*d - 140. Let y = 56 - d. Which is bigger: y or 20?
y
Suppose 2*t + 3*z = 6*t + 81, 3*z = t + 18. Which is greater: t or -22?
t
Suppose -6 = -2*l + 2*h, -4*h = 4*l - 16 - 12. Which is smaller: l or 3?
3
Let y = 4/31 + -14/589. Do y and 0 have the same value?
False
Let x(r) = r + 13. Suppose 26 - 9 = -q - 5*s, -q - 13 = 3*s. Let f be x(q). Suppose b = -5*v + 5, -f*b + 25 = -b. Which is smaller: 2/11 or v?
v
Suppose 6*q = -2*q + 40. Is q less than 4?
False
Let g be ((-32)/(-5))/((-6)/(-15)). Let y be g/(-24)*(-6)/(-14). Which is bigger: y or 0.2?
0.2
Let b = -13 - -13. Suppose 2*o - 5*z - 17 = o, 0 = o + 2*z - 3. Does b = o?
False
Let r be 2*1*(-12)/24. Do r and -2/3 have the same value?
False
Let i = -6 + 17.1. Let x = i - 11. Which is bigger: -8 or x?
x
Suppose -2*r - 1 = -h, 4*r = 3*r - 4*h - 23. Let t be (-2)/(8/12*3). Is t != r?
True
Suppose 0 = -0*c - 5*c. Suppose -4*a - a = c. Is a bigger than 1/3?
False
Let z = -12 + 13. Suppose 6*p = 3*p + 6. Which is bigger: p or z?
p
Let b = -2/19 + 31/114. Is 0 at least b?
False
Let j(r) = 14*r + 1. Let n be j(1). Suppose -4*y + n = -41. Let x be 6/15 - y/10. Does x = -1?
True
Let d be (45/30)/(21/(-68)). Is -4 at least d?
True
Suppose 4*r - 31 = 4*v - v, -3*v = -2*r + 23. Suppose 0 = z + r - 6. Let m = 0.9 + -0.7. Is z greater than or equal to m?
True
Suppose 2*z = 6*z. Which is greater: z or 6/13?
6/13
Let o(u) = -5*u + 18. Let n be o(4). Let j be (12/(-5))/(1/(-5)). Let b be j/30*(-2)/n. Is b at least -1?
True
Let q be (-136)/(-61) - (-2)/(-1). Let y = q + -520/671. Suppose 0 = -10*z - 3*z - 26. Do z and y have the same value?
False
Let i(x) = x + 11. Let w be i(-10). Let q be 1 + (-4 + w)/3. Is -2 at least q?
False
Let q = -6 - -10. Let g = q - 3.9. Which is smaller: g or -8?
-8
Suppose -3*s - 3*n = -s - 24, -5*s = -n - 26. Suppose -z + s*z - 5 = 0. Which is smaller: z or 2/17?
2/17
Let v = -17 + 17.1. Which is smaller: v or -12?
-12
Let d be (6/(-8))/((-4)/(-32)). Let s = -8 - d. Let a = s + 2. Is a less than -3/8?
False
Let a(u) = u**3 + 8*u**2 + 6*u + 9. Let w be a(-7). Let o = w + -17. Which is smaller: -4/5 or o?
o
Let m = 0.7 + 1.3. Is 0 at least as big as m?
False
Let z = 93 + -184. Let l be (-112)/(-390) - (-14)/z. Is -1 smaller than l?
True
Suppose 3*y - l = 4, 4*y + 5*l - 14 = 2*l. Let w = 1 + 3. Suppose y*j + w = 4*j. Is 1 at most as big as j?
True
Let n = -43/2 + 21. Let t(p) = -p**2 + 6*p - 7. Let d be t(5). Which is greater: n or d?
n
Suppose -14*d - 3 = -13*d. Which is smaller: -4 or d?
-4
Let t = 45 + -73. Let c be t/(-98) - (-1)/21. Do -4 and c have different values?
True
Let j be (-490)/880 + 9/24. Is j at most 2/9?
True
Let b(k) = -5*k + 6. Let w be b(4). Let u(z) = -z**2 - 8*z - 27. Let h be u(-6). Which is bigger: w or h?
w
Let g = -14 - -10. Let a = g + 0. Is -0.1 smaller than a?
False
Let q be 1 + 2/(4/(-6)). Let k be 37/(-7) + 2/7. Let b = q - k. Which is smaller: b or 2?
2
Let a be (1 + 0)*(-9)/(-9). Let r = -595/3 + 189. Let m = 109/12 + r. Which is smaller: m or a?
m
Let d be (-4)/61*-2*(-1)/12. Is d != 1?
True
Let y = -3.683 + -0.297. Let i = 4 + y. Which is bigger: -2/5 or i?
i
Suppose 4*r + 5*z - z = -8, -3*r = 2*z + 6. Which is bigger: r or -2/3?
-2/3
Let c(d) = -7*d + 2. Let o(l) = -20*l + 6. Let f(j) = 17*c(j) - 6*o(j). Let g be f(5). Suppose 0 = -5*n + g + 2. Is 2 smaller than n?
False
Suppose 9*s + 13 = f + 4*s, -6 = 2*f - 2*s. Let k = 11 + f. Suppose -t - 3 = -k*t. Is 3/7 bigger than t?
False
Let c = 12 + -9. Let l be 26/(-10) - c/(-1). Which is bigger: 4 or l?
| {
"pile_set_name": "DM Mathematics"
} |
83 = 4*s, 44 = 4*s - 4*x. What is the lowest common multiple of 482 and s?
5302
Let m = 910 + -322. What is the common denominator of (-15)/(90/m)*1/(-4) and 62/5?
10
Suppose -5*i - 924 = -8*i. Calculate the common denominator of ((-96)/(-512))/(3*2/i) and -1/5.
40
Let h = 783/14 + -412/7. Calculate the common denominator of h and -81/514.
3598
Let q be ((-90207)/90)/((-18)/(-15)). Let v be 1 - (-33)/(-36)*922. Let n = v - q. Find the common denominator of n and -23/22.
132
Let g = 14/491 - -33655/7856. Let k(d) = -37*d**2 + 6*d - 1. Let l be k(9). Let x = 64751/22 + l. What is the common denominator of g and x?
176
Let p be 0*(1 - (-1)/(-2)). Suppose -8*a + 3*a + 270 = p. Calculate the common denominator of -53/8 and 1*21/a*21.
24
Find the common denominator of 121/114 and 5453/(-2952) - (-1)/(-9).
456
Calculate the smallest common multiple of ((-14)/(-2))/((-2)/(-2)) and (-238)/(-18) - 2*(-9)/(-81).
91
Suppose -6*g = -183 + 135. Calculate the lowest common multiple of 30 and g.
120
Let m be (-4 + 3)*1 - -5. Suppose 2*t + 2*t = m. Suppose 3*p - 7 = -t. Calculate the smallest common multiple of 14 and p.
14
Suppose 468 = -757*p + 766*p. Calculate the lowest common multiple of p and 20.
260
Let d be (0 + 15)*2/6. Let b = 6 - d. Suppose 28*x - 2*x - 494 = 0. What is the smallest common multiple of x and b?
19
Let r(t) be the first derivative of -24*t**2 - 2*t + 14. Calculate the lowest common multiple of 6 and r(-1).
138
Suppose -4*i + 12 = -28. What is the smallest common multiple of i and 11?
110
Let k = 110 - 114. Calculate the lowest common multiple of (8 + k)/((-12)/(-45)) and 9.
45
Let b = -1343/3 + 464. What is the common denominator of b and 53/3?
3
Let i = 16423985/14 - 1176106. Let g = -2961 - i. What is the common denominator of g and -21/22?
154
Calculate the common denominator of 5/(-9) + (-6)/(-24) - 1 and 47/16.
144
Let u = -22 - -22. Suppose 5*b + 83 - 33 = u. What is the common denominator of -91/4 and (-194)/15 - (-4)/b?
12
Let o = 23 + -26. Let p be (-4)/(-18)*-6*o. Suppose 0*c - 2*c + 16 = 4*q, 4*c + 40 = p*q. Calculate the lowest common multiple of 5 and q.
30
Let l = -3164 + 18917/6. What is the common denominator of -67/4 and l?
12
Let r = -33 + 43. What is the lowest common multiple of ((-16)/r + (-3 - -4))*-5 and 27?
27
Let j(y) = y**2 - 8*y + 4. Calculate the lowest common multiple of 1 and j(0).
4
Let w = 14/13763 - 230368/253528223. Let m = w + -2081585/110526. Let p = -28557/8503 + -4/773. What is the common denominator of p and m?
66
Suppose 3*u + 3*a + 337 = -2*a, -a = 2*u + 213. Let q = -37243/110 + 3666/11. Find the common denominator of -2*3/9*(-654)/u and q.
130
Let f be (-6762)/(-285)*15/24. Let r = -111/38 - f. Calculate the common denominator of r and 17/5.
20
Suppose -5*r - 2429 = 4*z, -3*z - 6*r = -r + 1818. Let s = 3613/6 + z. Let v = 116/33 - -901/66. Find the common denominator of s and v.
6
Let h = -1524 - -1604. What is the lowest common multiple of h and 56?
560
Calculate the least common multiple of -4*3*90/(-24) and 30.
90
Let n be (3 - 10197/3405)/((-12)/40). Let u = n + 2963/681. Calculate the common denominator of u and 32/21.
21
Find the common denominator of (-35)/231*118/10 and -53/9.
99
Let o = 15 - 13. Suppose -2*k = -o*a + 50, k + 134 = 5*a + 5. Let m = 34 - 14. Calculate the least common multiple of a and m.
260
Suppose -67 + 59 = -t. Calculate the smallest common multiple of t and 280.
280
Let s(y) = -8*y + 12*y - 9*y**2 - 2 + 4*y**3 - 3*y**3. Calculate the common denominator of 87/10 and s(9).
10
Suppose -2*n + 3*n = -184. Let h be 82*-6*4/n. Let t = h + -3845/138. Calculate the common denominator of t and 47/2.
6
Let a(q) = 2*q - 32. Suppose 2*t = 4*w - 152, 4 = -3*t + 2*t. What is the least common multiple of a(17) and w?
36
Suppose 0 = -5*w + f + 3, -w + 2*f - 3 = 0. Calculate the smallest common multiple of -7 + 30 + w + -2 and 76.
836
Suppose -525 = l - 6*l + s, -3*s = 2*l - 227. Suppose 0*t + 118 = 4*t - 2*v, -2*v = 3*t - l. Find the common denominator of 149/30 and t.
30
Suppose 0 = 12*k - 11*k - 12. What is the least common multiple of k and (-2)/8 + (-73)/(-4)?
36
Let k(m) = m**3 - 5*m**2 + m - 3. Let u be k(5). Suppose -i - g = -7, -g + u = -0*g. Calculate the lowest common multiple of 2 and i.
10
Let p = 31 + -22. What is the least common multiple of p and 6/(-12) + (-58)/(-4) + -6?
72
Suppose -2*n = -2*v + 16, 0 = -5*v + 4*n + 25 + 11. Calculate the least common multiple of v and 18.
36
Let q = -9560473/146 - -65483. What is the common denominator of 9/22 and q?
1606
Let k be (24/9)/(-2)*6/(-1). Calculate the smallest common multiple of 14 and (-11 + k)/((-6)/8).
28
Let i(q) = 2*q**2 - q + 1. Suppose 5*w - 4*b = 50, 12*b = -w + 8*b + 34. What is the smallest common multiple of i(-3) and w?
154
Let m be 6/(-9)*-5*-3. Let d = m - -30. Calculate the lowest common multiple of d and 4.
20
Let p = -673/63 - -160/63. Let v = 2251 - 29295/13. Calculate the common denominator of p and v.
91
Find the common denominator of 49/16 and 3146/8320 + 8/(-10).
64
Let j = -32 + 31. Calculate the common denominator of -59/14 and j*34*(-11)/(-308).
14
Let x be ((-2154)/8)/(2/(-72)). Let c = 193811/20 - x. Calculate the common denominator of c and 193/12 - 7/((-154)/(-88)).
60
Let a = 517 + -196. What is the least common multiple of a and 18?
1926
Suppose m = 2*z, 0 = 5*m - 3*m + 4*z - 8. Suppose -2*h + 3*b = 4*b - 15, -3*b = -9. Calculate the lowest common multiple of h and m + -1 - (-15 - -12).
12
What is the common denominator of -9/70 and ((-41)/7 + -9)/(-2)?
70
Let c be (441/14)/((30/(-27))/(-2)). Let h = c + -65. Calculate the common denominator of 38/11 and h.
110
Let n(w) be the second derivative of w**3/2 + 5*w**2 - 8*w. Calculate the least common multiple of n(4) and 18.
198
Suppose 5*s + 0*k = 2*k + 404, 0 = 5*s - 3*k - 406. Calculate the least common multiple of s and 20.
80
Let b(f) = 3 + 3*f + 145*f**2 + 12 - 146*f**2. Calculate the lowest common multiple of 6 and b(4).
66
Suppose 410 = -2*x - 5*o, 1056 = -5*x + 6*o - 3*o. Calculate the smallest common multiple of 36 and 5*(-18)/x + (-106)/(-14).
72
Let p = 1135/14 + -108063/1330. What is the common denominator of 173/60 and p?
1140
Let d = 704 + -683. What is the lowest common multiple of d and 9?
63
Let o(v) be the second derivative of 7*v**3/6 - v**2/2 + v. Let r be o(-1). Let q = 3 - r. What is the least common multiple of 11 and q?
11
Let b = 24/355 + 19309/3195. Let s be -2087*2*1/(-24). Let v = -1183/6 + s. What is the common denominator of v and b?
36
Suppose 0 = 3*s - 12, -u + s - 28 = -3*u. Calculate the least common multiple of 108 and u.
108
Let s = 2932/11 + -263. What is the common denominator of s and 669/522 + 3*(-5)/(-90)?
319
Find the common denominator of ((-42)/40 - 95/(-76))*-41 and 104/(-18)*3/12.
45
Let u(v) = -v**3 - 6*v**2 - 5*v + 6. Suppose -2*b - 3 = -19. What is the least common multiple of b and u(-5)?
24
Let o(m) = 5*m - 10. Suppose -4*l + 42 = -4*p - 2, -4*l = -2*p - 36. Find the common denominator of (-47)/7 + 2/l and o(5).
7
Suppose -6*h + 4 = -4*h. Let g(d) = d**3 - d - 1. Let l(i) = i**2 + i + 10. Calculate the smallest common multiple of g(h) and l(0).
10
Suppose -3*t = -8*t + x - 130, -4*x = t + 26. Let s = -1995 - -27957/14. What is the common denominator of 2 + 56/t - (-6725)/1040 and s?
112
Let l(m) = m**3 - 9*m**2 + 6*m - 9. Let p be l(9). Let b = p - 42. What is the smallest common multiple of b and 8?
24
Let n(c) = -3*c**3 + 18*c**2 + 8*c + 21. Let f be n(-15). Suppose -5*s - f = -4236. Let m = s + 15723/8. Find the common denominator of m and 51/20.
40
Suppose -w + 126 = 2*q, -4*q + 3*w + 154 + 118 = 0. Let m = -56 + q. What is the least common multiple of m and 33?
99
Let u(r) = 11*r**3 + 3*r + 3. Suppose 5 - 11 = 3*s. Let d be u(s). Calculate the common denominator of -19/10 and (-52)/d + (-778)/(-84).
30
Suppose -21*y = -16*y + 375. Let r = 102 + y. Find the common denominator of 49/3 and r.
3
Find the common denominator of (-15)/(-10)*(-43)/(-150) and -92/45.
900
Find the common denominator of (3/(-2))/((-108)/1680) and -139/12.
12
Let o be (6/(-7))/((-5)/35). Let c = -4 + o. Let r = -38 + 58. Calculate the least common multiple of r and c.
20
Suppose v = 2*v - 10. Suppose 2*x - 3 | {
"pile_set_name": "DM Mathematics"
} |
h is greater: 46 or 93508?
93508
Is 242275707 < 242275707?
False
Which is greater: 0.05 or 0.637766?
0.637766
Do -2244214 and -15709496/7 have the same value?
False
Is 0 greater than or equal to -407/343202?
True
Is 3767270 >= 6?
True
Which is greater: -59 or -2/3228639?
-2/3228639
Are -2220/779191 and 0 equal?
False
Which is smaller: 2.2 or -4/194047?
-4/194047
Which is bigger: 5/2 or 19123507?
19123507
Which is bigger: 9.98 or -1/4096?
9.98
Which is greater: 1 or 343/87481?
1
Is -1.733 less than -219861?
False
Which is greater: 14773243/5 or 2954648?
14773243/5
Which is smaller: 2616 or 34456?
2616
Is 0 > 385/186017?
False
Which is smaller: 303 or 183684/607?
183684/607
Is -65224520 bigger than -65224542?
True
Is 0 smaller than -2661/13286?
False
Is -0.3 >= 303/11755?
False
Which is smaller: 131513/539 or 245?
131513/539
Is 7291394 not equal to 7291273?
True
Is 6886899 < 6886898?
False
Which is smaller: -3541 or -43862?
-43862
Is -0.1 > 7211.541?
False
Is -6755797 != -0.005?
True
Which is bigger: 3/89 or 59818?
59818
Is -1 less than -74/66331?
True
Which is bigger: -91/2 or -392963?
-91/2
Do 6869 and -2510 have the same value?
False
Is 14058454 less than or equal to 14058454?
True
Is 610167 bigger than 14/5?
True
Do 11609/2978 and 5 have different values?
True
Which is smaller: -42021 or -41270?
-42021
Is 3279328 > 0.5?
True
Is -4413364 equal to -30893554/7?
False
Is -65897234 >= -65897233?
False
Do 1776274.55 and -0.2 have the same value?
False
Which is bigger: 0 or 1766/61779?
1766/61779
Which is smaller: 0 or -5/1472412?
-5/1472412
Which is smaller: 13478 or 48783?
13478
Which is bigger: 2/9 or 4348486?
4348486
Which is smaller: 0.3 or 427856?
0.3
Which is bigger: 0 or 4/2108559?
4/2108559
Is -19848055 greater than -19848054?
False
Which is smaller: -4478233 or 0.1?
-4478233
Is 50 at least 6/644735?
True
Is 1 bigger than 2/39378433?
True
Which is bigger: 674567 or 674572?
674572
Is 22675 > 23244?
False
Which is bigger: 287711638 or 287711639?
287711639
Which is bigger: -183/4385737 or 1?
1
Is -188106/16819 < -11?
True
Is -1 less than 32/574949?
True
Do 2142445 and 2142451 have the same value?
False
Is -456749 less than -456841?
False
Are 76704164 and 76704165 equal?
False
Is -3/61159 greater than 490/9?
False
Is 6737 at most 1907?
False
Which is greater: 2058 or -15677?
2058
Which is bigger: 1 or 208/3933637?
1
Is 1464664 less than 220?
False
Is 1 != -133/261432?
True
Which is smaller: 11/4168896 or 1?
11/4168896
Is -28555 at most -2.796?
True
Is -66780019/6 equal to -11130002?
False
Is -1169 less than 62433?
True
Which is bigger: -2.1 or -6038/69?
-2.1
Which is smaller: 3/311 or -420?
-420
Does 2 = -7211.293?
False
Do 1 and -176/163665 have the same value?
False
Is 432 <= 2198?
True
Does -72545016 = -72545015?
False
Which is greater: -36546/54869 or -1?
-36546/54869
Which is smaller: -1 or -5377/14541?
-1
Which is bigger: -138152 or -138993?
-138152
Is 123445931 at most as big as 123445939?
True
Is -205893 greater than -206304?
True
Does 503505 = -91?
False
Is -1 > 3/6996530?
False
Which is bigger: 1 or 5301/2167?
5301/2167
Is -61 less than or equal to -22302/373?
True
Which is smaller: 138329 or 138345?
138329
Which is smaller: 44688 or 42675?
42675
Is 1 greater than 6092/9169?
True
Which is greater: 1/395952 or 0?
1/395952
Are 1341364836 and 1341364837 equal?
False
Which is smaller: 237446577 or 237446575?
237446575
Does -157811 = -158008?
False
Does -371672 = -370292?
False
Which is smaller: 309253 or 309250?
309250
Which is greater: -417027 or -417390?
-417027
Which is greater: 8252862 or 8252856?
8252862
Is -80691 at least -80947?
True
Is -15746794 equal to -15746793?
False
Which is smaller: 402 or 1540577?
402
Which is greater: 101718201 or 101718193?
101718201
Which is bigger: -36/75539923 or -1?
-36/75539923
Which is smaller: -1627540 or -1627569?
-1627569
Which is smaller: 16121/7269 or 3?
16121/7269
Is -4360149 not equal to -4360220?
True
Is 10240 greater than 8092?
True
Is -143/1112 at most as big as -1/33?
True
Are 17277/22031 and 2 non-equal?
True
Is -9407252 bigger than -9407256?
True
Which is greater: 7051012 or 7051039?
7051039
Is -987102 <= -42445359/43?
True
Which is bigger: -116124600 or -4?
-4
Which is smaller: 63 or 70497?
63
Which is smaller: 43415 or 2214128/51?
2214128/51
Is -1 bigger than -67/868000?
False
Which is greater: 38865 or 224?
38865
Which is greater: 7660909 or 9?
7660909
Is 195229414 less than or equal to 390458829/2?
True
Which is smaller: -1653086352 or -1?
-1653086352
Which is smaller: 3/4 or -150.86?
-150.86
Do 1 and -2352/1216921 have different values?
True
Which is bigger: 208 or 439/893?
208
Which is smaller: -58/5152377 or 1?
-58/5152377
Is -62059052 >= -62059048?
False
Which is bigger: -621544/5639 or -111?
-621544/5639
Are 1524 and 17/48 equal?
False
Which is smaller: 3715 or -22760?
-22760
Which is bigger: -52592 or -52546?
-52546
Which is smaller: 662821491 or 662821492?
662821491
Do -4/83 and -4501/198 have different values?
True
Is 51956 != 204?
True
Which is smaller: -40165624/37 or -1085556?
-40165624/37
Which is greater: -523 or 107415?
107415
Which is smaller: -4 or -1155301?
-1155301
Which is smaller: 2560987316 or 2560987315?
2560987315
Is 2697082/25 greater than 107882?
True
Is -1 less than 176/16009?
True
Which is smaller: 3986 or 3554?
3554
Are 0 and -15/36231659 unequal?
True
Which is greater: 1/4 or 519.872?
519.872
Is 50228 greater than or equal to 51059?
False
Do -2433087 and -2433074 have different values?
True
Is -25507547 bigger than -0.38?
False
Is 868175721 greater than 868175721?
False
Which is bigger: -24593135 or -24593136?
-24593135
Is 4/6127053 > -1?
True
Is 56691733 at most as big as 56691733?
True
Is 760003 greater than or equal to 759998?
True
Do 772379/8 and 96547 have the same value?
False
Which is smaller: -803143 or -803241?
-803241
Do -21620/9709 and -2 have different values?
True
Which is smaller: 193.8 or 3.91?
3.91
Which is greater: 538 or -0.01537?
538
Is 11828 > 10703?
True
Does 4257820 = 4257819?
False
Which is bigger: 35023/9684 or 4?
4
Are 1/5 and 57092/711 equal?
False
Is 0 less than or equal to 1320/600383?
True
Is 513384473 < 513384473?
False
Are 1 and 1383/49933 unequal?
True
Is -2559811 < -2559771?
True
Is -45303023 >= -45303016?
False
Which is bigger: -75932395 or -75932399?
-75932395
Which is greater: 0 or 14109058?
14109058
Which is smaller: 46 or 73149/1613?
73149/1613
Is -182/4820423 at most 1?
True
Which is smaller: 1266452749 or 1266452748?
1266452748
Is -10659 bigger than -8053?
False
Is -8319 at least as big as 0.062061?
False
Is 203/4000 less than or equal to 20?
True
Which is greater: -182481 or -184656?
-182481
Which is greater: 4025/1102 or 5?
5
Is -144170 at most as big as -143157?
True
Which is smaller: -729/118127 or -1?
-1
Is 5 equal to -2/2123559?
False
Is -462279 at least 21?
False
Which is bigger: 1 or -126/13436455?
1
Is -136636 smaller than -136624?
True
Which is smaller: -20501/3175 or -5?
-20501/3175
Is -19748621 equal to -19748565?
False
Is 393016 bigger than 2.4?
True
Is -46 < -83849/1867?
True
Is -66.906 >= 8/7?
False
Which is smaller: -7765/68 or 0.15?
-7765/68
Is 9/1325405 > -0.12?
True
Which is greater: 532239 or 532237?
532239
Is 28498 > 28407?
True
Is -912692 at most -912692?
True
Are -2521073 and -2521074 non-equal?
True
Is 105.9745 at least as big as 403?
False
Are -12 and -1594.154 equal?
False
Which is smaller: 98 or 65356/673?
65356/673
Is 36490 at most as big as 36646?
True
Which is bigger: 27 or 186.394?
186.394
Is 859326/107 less than 8030?
False
Which is greater: -691598 or -24?
-24
Is 6437 smaller than 701559/109?
False
Is -16120613 != -16120618?
True
Is 4/1099080267 less than or equal to -1?
False
Is 22124 > 22200?
False
Is 69151 at most as big as 1383041/20?
True
Which is smaller: -1 or 3/136378751?
-1
Which is smaller: 43682190 or 43682153?
43682153
Which is greater: -245716477 or 0.2?
0.2
Which is bigger: 966205 or 966236?
966236
Which is bigger: 1.002401 or 126?
126
Is -41974380 at least -41974380?
True
Which is smaller: -75193627 or -75193629?
-75193629
Which is bigger: 2/3 or 411245052?
411245052
Which is greater: -59870318/5 or -11974064?
-59870318/5
Is -143950/399 bigger than -360?
False
I | {
"pile_set_name": "DM Mathematics"
} |
e
Does 23 divide 64?
False
Does 17 divide 1027?
False
Is 25 a factor of 875?
True
Is 24 a factor of 1128?
True
Is 486 a multiple of 9?
True
Is 7060 a multiple of 20?
True
Is 21870 a multiple of 135?
True
Does 11 divide 3003?
True
Is 988 a multiple of 76?
True
Is 57 a factor of 2950?
False
Is 136 a factor of 77092?
False
Is 24 a factor of 1464?
True
Is 16480 a multiple of 40?
True
Is 6 a factor of 10583?
False
Is 15947 a multiple of 37?
True
Does 13 divide 222?
False
Is 285 even?
False
Is 105 a multiple of 2?
False
Is 299 a multiple of 158?
False
Is 14267 a multiple of 9?
False
Is 18 a factor of 34416?
True
Is 34 a factor of 952?
True
Is 37047 a multiple of 14?
False
Is 30 a factor of 2760?
True
Is 20725 a multiple of 25?
True
Is 35209 a multiple of 14?
False
Is 468 a multiple of 9?
True
Is 11 a factor of 2739?
True
Does 31 divide 8334?
False
Is 18 a factor of 25092?
True
Is 6 a factor of 1720?
False
Does 91 divide 273?
True
Is 24 a factor of 192?
True
Is 9504 a multiple of 18?
True
Does 19 divide 8149?
False
Does 37 divide 2664?
True
Is 16 a factor of 197?
False
Is 50 a factor of 11100?
True
Is 651 a multiple of 16?
False
Does 9 divide 1098?
True
Is 42 a factor of 1279?
False
Is 96 a multiple of 3?
True
Is 67 a factor of 6532?
False
Is 5551 a multiple of 13?
True
Does 7 divide 1274?
True
Is 6 a factor of 580?
False
Is 9 a factor of 1609?
False
Is 64 a factor of 10590?
False
Is 14375 a multiple of 191?
False
Is 150 a factor of 10018?
False
Does 29 divide 2175?
True
Is 39 a factor of 780?
True
Does 77 divide 2079?
True
Is 1700 a multiple of 10?
True
Is 120 a multiple of 6?
True
Does 209 divide 3553?
True
Is 447 a multiple of 49?
False
Does 66 divide 1138?
False
Does 24 divide 734?
False
Is 32 a factor of 21585?
False
Is 1440 a multiple of 15?
True
Does 54 divide 195?
False
Is 5103 a multiple of 29?
False
Does 43 divide 17544?
True
Is 36 a factor of 7596?
True
Does 188 divide 6768?
True
Does 13 divide 7111?
True
Is 241 a multiple of 4?
False
Does 5 divide 3749?
False
Does 16 divide 3701?
False
Is 161 a factor of 5474?
True
Does 4 divide 5224?
True
Does 20 divide 2640?
True
Is 47 a factor of 5248?
False
Is 112 a factor of 9520?
True
Is 1378 a multiple of 46?
False
Is 108 a factor of 1235?
False
Does 5 divide 11988?
False
Does 15 divide 2340?
True
Is 133 a factor of 8379?
True
Does 69 divide 24499?
False
Is 7 a factor of 532?
True
Is 621 a multiple of 69?
True
Does 9 divide 4599?
True
Does 7 divide 3301?
False
Does 97 divide 3796?
False
Is 71 a factor of 20012?
False
Is 105 a factor of 1057?
False
Does 7 divide 6972?
True
Does 22 divide 13662?
True
Is 12670 a multiple of 35?
True
Does 31 divide 615?
False
Is 4416 a multiple of 24?
True
Is 3 a factor of 4681?
False
Is 164 a factor of 1731?
False
Does 17 divide 1938?
True
Is 92631 a multiple of 18?
False
Is 119 a multiple of 14?
False
Is 245 a multiple of 7?
True
Does 40 divide 1531?
False
Is 2 a factor of 5991?
False
Is 15 a factor of 330?
True
Is 667 a multiple of 29?
True
Is 73366 a multiple of 181?
False
Does 23 divide 888?
False
Is 9 a factor of 54?
True
Is 25 a factor of 948?
False
Is 1335 a multiple of 15?
True
Is 29 a factor of 74993?
False
Is 80503 a multiple of 19?
True
Does 65 divide 2405?
True
Is 60 a factor of 3780?
True
Does 3 divide 129?
True
Is 23 a factor of 5478?
False
Is 12453 a multiple of 18?
False
Does 25 divide 148?
False
Is 184 a multiple of 4?
True
Does 6 divide 251?
False
Is 21462 a multiple of 294?
True
Is 897 a multiple of 39?
True
Does 6 divide 72?
True
Does 58 divide 522?
True
Is 1620 a multiple of 180?
True
Is 441 a multiple of 9?
True
Does 3 divide 1548?
True
Is 20 a factor of 579?
False
Does 70 divide 28197?
False
Is 5 a factor of 25?
True
Is 4329 a multiple of 9?
True
Is 20 a factor of 580?
True
Does 22 divide 298?
False
Does 9 divide 22626?
True
Is 49 a factor of 1519?
True
Is 13 a factor of 234?
True
Is 17 a factor of 14625?
False
Is 11746 a multiple of 14?
True
Is 27 a factor of 8532?
True
Does 67 divide 1089?
False
Does 35 divide 2485?
True
Is 7284 a multiple of 28?
False
Is 114 a multiple of 6?
True
Is 6033 a multiple of 12?
False
Is 13 a factor of 3192?
False
Is 76 a factor of 456?
True
Is 16299 a multiple of 9?
True
Is 474 even?
True
Does 31 divide 775?
True
Is 15 a factor of 58882?
False
Does 81 divide 14297?
False
Does 2 divide 164?
True
Does 111 divide 4329?
True
Does 96 divide 2296?
False
Is 255 a multiple of 17?
True
Does 9 divide 278?
False
Is 598 a multiple of 23?
True
Does 10 divide 350?
True
Is 7 a factor of 1128?
False
Does 27 divide 5508?
True
Is 416 a multiple of 13?
True
Is 8668 a multiple of 44?
True
Is 9 a factor of 2394?
True
Is 609 a multiple of 29?
True
Does 21 divide 3171?
True
Is 352 a multiple of 44?
True
Is 133 a factor of 3680?
False
Is 20339 a multiple of 43?
True
Does 173 divide 21300?
False
Does 53 divide 5674?
False
Is 10592 a multiple of 16?
True
Is 22 a factor of 830?
False
Is 30 a factor of 660?
True
Does 20 divide 11025?
False
Is 502 a multiple of 61?
False
Does 16 divide 6544?
True
Does 19 divide 703?
True
Is 39100 a multiple of 170?
True
Is 17 a factor of 5117?
True
Is 66 a factor of 22900?
False
Is 22 a factor of 251?
False
Is 30 a factor of 2281?
False
Does 38 divide 2710?
False
Does 34 divide 14008?
True
Is 8448 a multiple of 44?
True
Is 87 a factor of 1479?
True
Does 54 divide 4305?
False
Is 38057 a multiple of 19?
True
Is 481 even?
False
Does 43 divide 8541?
False
Is 505 a multiple of 30?
False
Is 1046 a multiple of 43?
False
Does 33 divide 301?
False
Is 141 a factor of 47517?
True
Is 39 a factor of 6591?
True
Is 468 a multiple of 16?
False
Is 700 a multiple of 20?
True
Is 90 a factor of 922?
False
Is 282 a multiple of 3?
True
Is 23 a factor of 968?
False
Does 3 divide 1517?
False
Is 1689 a multiple of 10?
False
Does 184 divide 78494?
False
Does 73 divide 11899?
True
Does 175 divide 4468?
False
Is 47 a factor of 930?
False
Does 53 divide 424?
True
Does 98 divide 454?
False
Does 209 divide 48130?
False
Is 40 a factor of 8621?
False
Does 4 divide 3514?
False
Does 316 divide 115024?
True
Does 9 divide 99?
True
Is 6 a factor of 390?
True
Is 8478 a multiple of 27?
True
Does 5 divide 353?
False
Is 2856 a multiple of 42?
True
Is 4630 a multiple of 10?
True
Is 16 a factor of 13176?
False
Is 28520 a multiple of 10?
True
Is 15 a factor of 390?
True
Is 288 a multiple of 4?
True
Does 4 divide 2546?
False
Does 13 divide 15257?
False
Does 11 divide 1694?
True
Is 13 a factor of 1733?
False
Is 3850 a multiple of 11?
True
Is 54 a factor of 594?
True
Is 17 a factor of 24497?
True
Is 26 a factor of 1846?
True
Does 22 divide 58080?
True
Is 6 a factor of 100?
False
Is 8 a factor of 306?
False
Is 48048 a multiple of 24?
True
Is 9 a factor of 769?
False
Is 2 a factor of 6338?
True
Is 23 a factor of 15502?
True
Does 18 divide 1386?
True
Does 154 divide 946?
False
Is 16938 a multiple of 39?
False
Is 16 a factor of 368?
True
Is 1639 a multiple of 11?
True
Does 16 divide 5674?
False
Is 119 a factor of 1142?
False
Does 12 divide 28071?
False
Is 18646 a multiple of 11?
False
Does 82 divide 2136?
False
Does 53 divide 27348?
True
Is 43 a factor of 42918?
False
Is 18 a factor of 4676?
False
Does 60 divide 2724?
False
Does 50 divide 723?
False
Is 25 a factor of 3375?
True
Does 16 divide 2023?
False
Is 22 a factor of 7422?
False
Is 2611 a multiple of 15?
False
Does 8 divide 688?
True
Is 23 a factor of 8763?
True
Is 2350 a multiple of 24?
False
Does 58 divide 46922?
True
Is 54 a factor of 5346?
True
Is 8670 a multiple of 10?
True
Does 19 divide 17050?
False
Does 47 divide 1222?
True
Is 26672 a multiple of 19?
False
Is 38 a factor of 1722?
False
Is 11 a factor of 1045?
True
Does 14 divide 4985?
False
Is 608 a multiple of 19?
True
Is 25 a factor of 15700?
True
Does 9 divide 9550?
False
Is 81594 a multiple of 38?
False
Does 31 divide 305?
False
Is 11 a factor of 32725?
True
Is 24 a factor of 86900?
False
Is 4966 a multiple of 26?
True
Is 315 a multiple of 7?
True
Does 10 divide 5230?
True
Does 17 divide 20275?
False
Is 561 a multiple of 11?
True
Is 23 a factor of 679?
False
Is 509 a multiple of 7?
False
Is 28 a factor of 10322?
False
Is 2520 a multiple of 12?
True
Does 51 divide 25676?
False
Does 15 divide 390?
True
Is 3 a factor of 3241?
False
Is 19 a fa | {
"pile_set_name": "DM Mathematics"
} |
Three letters picked without replacement from {w: 2, v: 5, f: 6, q: 2, g: 3, l: 1}. Give prob of sequence fwg.
2/323
Four letters picked without replacement from pphpdqqqqqhhppppq. What is prob of sequence qpdh?
3/1360
Calculate prob of sequence wo when two letters picked without replacement from chwooctctoocwchooo.
7/153
Calculate prob of sequence xl when two letters picked without replacement from {l: 1, x: 2, i: 4, o: 1}.
1/28
Two letters picked without replacement from exe. What is prob of sequence ex?
1/3
What is prob of sequence ggg when three letters picked without replacement from {g: 5}?
1
Calculate prob of sequence vc when two letters picked without replacement from lqvecleceeeleeeel.
1/136
Calculate prob of sequence ls when two letters picked without replacement from sslsssssssssssssss.
1/18
Two letters picked without replacement from {f: 5, x: 3, s: 1, v: 1, m: 3, n: 4}. What is prob of sequence fm?
15/272
Three letters picked without replacement from {v: 2, b: 1, z: 3, f: 1}. Give prob of sequence zbz.
1/35
Two letters picked without replacement from {y: 2, i: 7, l: 3, g: 5, t: 1}. Give prob of sequence ll.
1/51
Calculate prob of sequence hjj when three letters picked without replacement from {l: 7, j: 4, h: 8, a: 1}.
4/285
Three letters picked without replacement from ijnrrrquurruqqjiurur. Give prob of sequence jun.
1/684
What is prob of sequence fqq when three letters picked without replacement from yyqyyyfqqqqyqyy?
1/91
Four letters picked without replacement from {a: 2, o: 2, p: 1, y: 6}. What is prob of sequence apoa?
1/1980
Three letters picked without replacement from qqddqqedeed. Give prob of sequence edq.
8/165
Three letters picked without replacement from dqqqqdqqqqqqqaqqq. Give prob of sequence qqq.
91/170
What is prob of sequence oq when two letters picked without replacement from {q: 1, m: 4, o: 2, j: 3}?
1/45
Calculate prob of sequence yr when two letters picked without replacement from {g: 1, r: 1, y: 1, t: 4, c: 1}.
1/56
Two letters picked without replacement from {g: 2, t: 3, h: 1, w: 3, x: 2, z: 4}. Give prob of sequence wg.
1/35
Two letters picked without replacement from cfffffqfqf. What is prob of sequence cf?
7/90
Three letters picked without replacement from {u: 1, l: 2, b: 1, x: 1}. What is prob of sequence ubl?
1/30
What is prob of sequence uuzn when four letters picked without replacement from {n: 2, g: 1, z: 1, u: 2}?
1/90
Calculate prob of sequence ssh when three letters picked without replacement from {h: 8, s: 2}.
1/45
Calculate prob of sequence tuku when four letters picked without replacement from zuttukuhtuu.
1/132
Four letters picked without replacement from {e: 4, k: 3, p: 4}. Give prob of sequence pkkk.
1/330
What is prob of sequence kkko when four letters picked without replacement from {k: 18, o: 2}?
8/95
What is prob of sequence lol when three letters picked without replacement from {j: 1, w: 3, l: 2, o: 10}?
1/168
Calculate prob of sequence rq when two letters picked without replacement from {o: 1, y: 2, q: 2, a: 1, r: 2}.
1/14
Four letters picked without replacement from uhhuhhuhuhuhu. What is prob of sequence hhuh?
21/286
What is prob of sequence yy when two letters picked without replacement from {i: 2, y: 5}?
10/21
Calculate prob of sequence aa when two letters picked without replacement from yaayayaaayayaaaa.
11/24
Two letters picked without replacement from rrrraarrrarr. Give prob of sequence aa.
1/22
Two letters picked without replacement from knnkkn. What is prob of sequence nn?
1/5
Calculate prob of sequence xb when two letters picked without replacement from qbqx.
1/12
Calculate prob of sequence tqqq when four letters picked without replacement from ttttttqtqtqqtt.
10/1001
Two letters picked without replacement from mmmmkjmmmjmmmm. Give prob of sequence jk.
1/91
Calculate prob of sequence tb when two letters picked without replacement from {u: 2, b: 1, t: 7, r: 7}.
7/272
Three letters picked without replacement from {q: 1, p: 5, t: 5, y: 1, u: 4}. What is prob of sequence yqu?
1/840
What is prob of sequence zzoa when four letters picked without replacement from ayzaaozoeyyzzggzzzg?
7/2584
Calculate prob of sequence ttt when three letters picked without replacement from ttttttttt.
1
Four letters picked without replacement from kkkkkkkkzkkkkzkz. Give prob of sequence kzkk.
33/280
What is prob of sequence yyyp when four letters picked without replacement from {n: 7, p: 1, s: 1, y: 3, z: 1}?
1/2860
Calculate prob of sequence xr when two letters picked without replacement from {r: 3, x: 8, p: 5}.
1/10
Four letters picked without replacement from {r: 2, l: 3, a: 13}. What is prob of sequence arrl?
13/12240
Four letters picked without replacement from {s: 2, o: 4, h: 7}. Give prob of sequence ooho.
7/715
What is prob of sequence zz when two letters picked without replacement from {z: 3, q: 8}?
3/55
Four letters picked without replacement from pppppppppp. What is prob of sequence pppp?
1
Calculate prob of sequence bj when two letters picked without replacement from bjyyyjyjjbb.
6/55
Calculate prob of sequence jty when three letters picked without replacement from {e: 1, y: 2, m: 1, r: 2, t: 1, j: 2}.
1/126
What is prob of sequence adab when four letters picked without replacement from {b: 3, a: 2, d: 5}?
1/168
Two letters picked without replacement from feeteeeftteeff. Give prob of sequence ft.
6/91
What is prob of sequence rh when two letters picked without replacement from oehhhrhhohohhhhomhr?
11/171
Three letters picked without replacement from {f: 7, v: 3, o: 6, e: 3}. Give prob of sequence fov.
7/323
Two letters picked without replacement from tutyttttttt. Give prob of sequence uy.
1/110
Three letters picked without replacement from {i: 11, a: 2, x: 1, n: 1}. What is prob of sequence nia?
11/1365
What is prob of sequence ddd when three letters picked without replacement from {o: 3, d: 4, e: 2, z: 1}?
1/30
What is prob of sequence gkd when three letters picked without replacement from qkdahghakhda?
1/330
Two letters picked without replacement from mqqmmqqmqmmq. Give prob of sequence mm.
5/22
Two letters picked without replacement from {h: 4, q: 3, l: 6}. Give prob of sequence qh.
1/13
Calculate prob of sequence xen when three letters picked without replacement from oxoexxxnxxxlxnxen.
9/680
Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxxx.
1
Two letters picked without replacement from irrrrirrri. What is prob of sequence ii?
1/15
What is prob of sequence yl when two letters picked without replacement from {l: 7, y: 3}?
7/30
Three letters picked without replacement from nhffrfchfhffjrff. What is prob of sequence frf?
1/30
What is prob of sequence cvc when three letters picked without replacement from wzrwczzrvwcvmwv?
1/455
Calculate prob of sequence kko when three letters picked without replacement from {b: 5, k: 2, o: 1, i: 1}.
1/252
Two letters picked without replacement from {a: 8, x: 5, q: 3}. Give prob of sequence ax.
1/6
Calculate prob of sequence zzz when three letters picked without replacement from zzcczc.
1/20
Two letters picked without replacement from ababbbbbab. What is prob of sequence aa?
1/15
What is prob of sequence ns when two letters picked without replacement from {m: 2, d: 10, s: 5, h: 2, n: 1}?
1/76
Two letters picked without replacement from txzxtxfzfbxb. What is prob of sequence tt?
1/66
Calculate prob of sequence qdd when three letters picked without replacement from {d: 3, q: 3}.
3/20
Two letters picked without replacement from {i: 3, m: 4, o: 1, l: 3}. What is prob of sequence li?
9/110
Two letters picked without replacement from pupuupuupupu. Give prob of sequence uu.
7/22
Calculate prob of sequence bkbk when four letters picked without replacement from {b: 9, k: 10}.
45/646
Four letters picked without replacement from {t: 6, j: 1, w: 5, z: 1, a: 2, d: 5}. Give prob of sequence zttt.
1/969
Three letters picked without replacement from {s: 3, e: 4, w: 5}. Give prob of sequence wew.
2/33
Three letters picked without replacement from gsxwsdd. Give prob of sequence gdw.
1/105
What is prob of sequence rqr when three letters picked without replacement from qfrrqrqrqqqqr?
35/429
Three letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
2 + 112 + -3 + -5 + -4?
87
Calculate -42 - (20 + 34 + -99).
3
What is the value of -100 + (109 - -7) - 20?
-4
What is the value of 29 + (-70 - (-2 + -13))?
-26
Calculate -88 - (0 + -3) - (-32 - (-44 + 19)).
-78
What is the value of 53 + 11 - 75 - ((1 - 2) + -15)?
5
Evaluate 9 - (15 - 9) - (19 - -37) - -6.
-47
2 + -29 - (-4922 - -5023)
-128
What is the value of -34 + 148 - (-38 + (68 - 8))?
92
-1 + -5 + (28 + -31 - 11)
-20
What is the value of (10 - 114) + (8 - -75 - 103)?
-124
What is 32 + (-3 - 17) + 3 + (-1 + -1 - 70)?
-57
Evaluate -15 + (-2 - -12 - ((0 - 46) + (-373 - -358))).
56
Evaluate (4 + (6 - -1) - (24 - 32)) + -55.
-36
What is the value of (-5 - -30 - 13) + (-4 + 2 - 25)?
-15
-10 + 7 + -10 + -1 + 42 + 1
29
Evaluate 60 - 29 - 33 - (-4 - 18).
20
What is the value of 3 - 3 - -53 - (-7 + -1 - (-40 + 16))?
37
What is -125 + (124 - -53) + -112?
-60
Evaluate 19 + -40 - (-23 + 0) - -13.
15
Evaluate 3 + (-13 + 3 - (24 - (-75 + 24))) + -1.
-83
Evaluate -6 - (24 - (-2 - -15) - 8) - 10.
-19
Evaluate 2 - (-821 - -824 - (-6 - (-1 + 1))).
-7
What is 48 - (-88 - -92 - 2)?
46
What is the value of (-75 - 22) + 3 + (-35 - (10 + -21)) + 8?
-110
What is (-20 - -1) + 7 + (0 + 8 - -2) + 11?
9
Evaluate -20 + (25 - -8) + -13 + 0 + -73.
-73
Calculate -99 + 106 + -61 - -122.
68
What is -27 + (7 - 56 - -43)?
-33
What is 11 + (-146 - -93) + -46?
-88
What is -55 + -1 - (26014 + -25976)?
-94
What is -154 + 113 - -54 - -79?
92
47 + -62 + -48 - -52
-11
What is the value of -158 + 204 + -59 + 64?
51
4118 + -4125 - ((-2 - -3) + 16 + 2)
-26
Evaluate 1 + -42 + -2278 + 2317.
-2
What is 4 + 14 + -23 + -6 - (-1 + -13)?
3
Evaluate 16 + -3 + -3 + (-18 - -2) - (3 - -1).
-10
What is the value of -31 + -23 + -37 + 49?
-42
What is the value of (-16 - -21) + -82 + 77 + (-1 - 39)?
-40
What is the value of -3 + (21 - -38) + -83?
-27
28 - (7 + -8 - (-1 - -12))
40
What is the value of -40 - (-14 - -14) - -12 - (-7 + (4 - 4))?
-21
What is -93 - ((54 - 63) + -143)?
59
Calculate -16 + (3 - 1) - (83 - (-32 - -3 - -69)).
-57
Evaluate (45 - 0) + (6 - 7) + 10 + (31 - 27).
58
Evaluate 44 + -26 + -1 + -48 + (4 - -1).
-26
What is (-113 - -109) + (5 - -11)?
12
What is (-39 - 5) + (47 - -7)?
10
What is 93 + 76 + 30 + -130?
69
Calculate -6 - (3 + -11) - 92 - (-92 + 92).
-90
What is the value of (13 - -13 - 13) + 39 + -17?
35
Calculate (39 - (-32 + 117)) + 35.
-11
Evaluate -6 - 10 - (16 + -31) - (-1 + -93).
93
5 + -15 + (-5 - (7 - -14)) + 8
-28
10 + (-2 - (-12 - -20) - 5) - 14
-19
Evaluate 24 + -3 + -34 + 63.
50
(14 - 10) + (0 - 77) + (-46 - -53)
-66
Evaluate 15 - 6 - (-3 + -1) - 7.
6
Calculate 16 - 12 - (15 + 1) - (5314 - 5404).
78
What is the value of (6 + 9 + -18 + 15 - 6) + 19?
25
(-2 + 7 + 4 - 95) + (-30 - -24) + 0
-92
What is -140 + 155 - (6 - (17 + 12))?
38
What is -48 + (123 - -1) + (11 - (10 - 6))?
83
Evaluate (44 + 76 - 88) + (-90 - 1).
-59
10 + -44 + (-35 - -35) + (0 - -1)
-33
What is the value of (3 + -13 - 17) + -3 + 18 + 14?
2
Calculate (-26 - 1) + 27144 + -27183.
-66
Calculate (34 - 86) + 108 + -79.
-23
39 - (23 + (81 - 24))
-41
What is the value of 47 + -13 + -79 - -96?
51
Evaluate (-365 - -355) + (-6 - -26 - 11).
-1
Calculate -72 - 31 - -82 - (-1 - 38) - -6.
24
What is the value of (-1 - (4 + 72 - -2 - 0)) + -1 - 2?
-82
What is 30 - (3 - -3) - (12 - (-3 - -8)) - -7?
24
Calculate 5 + -12 + -5 - (169 - 218).
37
Calculate 107 + 6 - (804 - 779).
88
-4282 - -4244 - (0 + -40)
2
2 - ((145 - 113) + -111)
81
What is the value of -95 - (-25 + 74 + -122)?
-22
-1179 - -1122 - (-39 + 1)
-19
What is 29 + -20 + -14 - (-17 + 3)?
9
What is the value of (-39 - (-25 - 10)) + -32?
-36
-10601 - -10557 - ((2 - 2) + 16)
-60
Calculate 99 + -1 - ((69 - 31 - 12) + -21).
93
Evaluate 29 + -25 + 1 + -17.
-12
Calculate (-6278 - -6290) + -3 + 0 + -83.
-74
What is (-2 - -41 - (159 + (-140 - -9))) + 1 + 83?
95
What is 15 + 13 + -108 - -18 - (0 + 1)?
-63
Evaluate 39 - (85 + (-74 - -41)).
-13
Calculate (1 - (-4 - -3)) + 1768 + -1777 - -130.
123
What is 22 + 2 + -6 + (-348 - -337)?
7
What is (4 - 4 - (12 + -8)) + (-5 - -32 - 79)?
-56
Calculate (2 - (-24 - -1)) + -2057 + 2145.
113
What is -78 - -6 - (-19 + (53 - 46))?
-60
Calculate 33 + 0 + -29 - -58 - -8.
70
What is (-25 - (-21 + -7)) + (10 - 2) + -20?
-9
Calculate -9 + 16 - 74 - -35.
-32
What is 2 + 3 - ((4 - (7 - 10)) + (0 - -57))?
-59
What is -6 - (-5 + -62 + 5)?
56
Calculate 1 + (-6 - -15 - -28) + (13 - 1).
50
Evaluate 0 - 93 - (-30 + 145 + -101) - -7.
-100
Evaluate -34 - (-6 - 10 - (-9 + 14)).
-13
Evaluate (18 - -27) + (-1 - 41).
3
What is 45 + (-31 - 8 - -43) + (0 - 11)?
38
What is 27 - (13 + (-8 - -17) + -16)?
21
What is the value of 11 - (6 - -5 - (8 - (8 - 9)) - -5)?
4
Calculate (49 - 16) + 9 + 0 + (-94 - -92).
40
Calculate (0 - 3) + 3 + (6 - 9) + -310 + 345.
32
Calculate 4380 + -4408 + (6 - (-1 - -3)).
-24
Calculate -31 - (-1 + (12 + 13 - 24)).
-31
Calculate (-35 - 9) + 27 - 3.
-20
(-77 - (49 - 184)) + (-21 - 1)
36
14 + (11 - 1 - (36 + -21) - -59)
68
Calculate 30 + -1 + (204 - 69) + -159.
5
Evaluate 9 + 6 + -9 + -2 + -4 - (-45 - 14).
59
What is the value of -200 + (-120 - -201) - ((-9 - -2) + -2)?
-110
What is (-14 - -23 - -8 - (0 - (1 - 6))) + -8?
4
Calculate 122 + -80 - (61 + -32 + -42).
55
Calculate (29 - 0 - 34 - 31) + 74.
38
-71 + (-13 + 47 + -16 + -15 - -10)
-58
What is the value of (-48 - (2 + -13 + -6)) + -12?
-43
37 - -7 - (-3 - (-4 + 6) - 2)
51
What is the value of 31 + (13 - 62 - -21)?
3
Calculate 33 - (-21 + -32 + (15 - -108)).
-37
Calculate 41 + (-1 + 2 - (-13 + 17) - (-3 - 0)).
41
Calculate -16 + (10 + -3 - -61) + (-1 - -11).
62
What is the value of -3 - (4 - ((5 - 12) + -1 + 12 + 4))?
1
What is (87 + -13 + 1 - 1) + 5 + 0 + -2?
77
What is -69 + 213 + -66 + -2?
76
Evaluate -6 - -12 - 89 - (-435 + 395).
-43
Calculate 15 - (-6 - -33) - -18.
6
-4 + (-9 - (-33 + 23 + (4 - -2)))
-9
Evaluate 0 - 1 - (-38 + (-22 - -36) - -19) - 43.
-39
What is the value of 11 - (-1 + 12 + -19 - 1) - 1?
19
What is the value of ((5 - 59) + 9 - -12) + 14 - -6?
-13
Calculate (93 - 54) + -165 + 182.
56
What is 1 - -5 - (31 + -9 - 8)?
-8
11 + 2 + -4 + -1 + -24 + -1 + 12
-5
Calculate 91 - (9 + (0 - 19) + 38).
63
Calculate 114 + -59 - (37 + 22).
-4
What is -95 - (-13 + (17 - 1 - 12 - -6))?
-92
Evaluate 6 + 6 + -32 + (-6 - (-2 - 9)).
-15
-17 + -2 - -50 - 49
-18
Calculate 3 + -12 + 41 + (8 - (-3 + (-1 - -4))).
40
What is the value of (-17 - 0) + -23 + 71 + -41 - (42 + 1)?
-53
What is 0 + 17 + (-62 + 19 - -22)?
-4
What is -15 + (64 + -4 - 19)?
26
(-39 - -14 - 13) + 4 + -8
-42
Evaluate 4 - (-4 + 1 - 5) - (-5123 - -5109).
26
What is 1642 + -1691 - (-88 - -1)?
38
What is -34 - (19 - 48) - -24?
19
What is (-1520 + 1557 - (44 + 2)) + (-18 - 1)?
-28
What is the value of -128 + (-373 - -364 - (-1 - (-3 + 24 + -2)))?
-117
What is the value of 12 + ((-5 - 14) + 30 - 68)?
-45
Calculate (1 - 2) + 9 - (20 - (32 + -38) - 46).
28
-25 - (-1 + -1) - (221 - 193)
-51
Calculate (17 - 7) + -35 - -1.
-24
What is the value of -19 - (19 - (-1 + 4)) - -10?
-25
Calculate -13 + 77 - (-51 + 156).
-41
What is 41 + -86 - (25 - 67)?
-3
Calculate 50 - (53 - 114 - -140).
-29
1 + (33 - (48 - -51))
-65
Calculate 2 + -2 - (-31 + 2 - (141 - 152)).
18
(823 - 763) + -23 + 1 + 3
41
72 - 35 - 19 - (10 + 0)
8
Evaluate 26 + 5 + -20 + (-15 - (-5 - 5)).
6
Evaluate (-59 - 1) + (-982 - -955).
-87
What is -1895 + 1865 - (122 + 2)?
-154
Calculate 18 + 1 + -8 - (-1 - -25 - (0 + -2)).
-15
What is 16 + (31 - 52) + 2 + 4 + -15?
-14
Calculate 12 + 6 + (-580 - -593).
31
-58 - (1 - (12 + -10 + 8 + -14))
-63
What is (-3 - (93 - -1)) + 75 + -35 + 0 + -39?
-96
Calculate (-12 - 3) + (44 - (55 - 16 - 9)).
-1
What is (19 - -3) + -253 + 261 - -27?
57
Evaluate -11 + 15 + -11 + -12 - -12.
-7
Evaluate -16 + (-2 - 1) + 1 + (-9 - (-43 + 33)).
-17
(114 - 115) + (0 - (-5 + -20))
24
Calculate (-6 - (4 - (-4 + 4))) + 29 + 1 + 23.
43
-77 - 27 - -191 - 21
66
What is 39 + -267 + 50 + 63?
-115
What is 140 - 96 - (36 - -6)?
2
-10 + -16 - (10 - 1 - -15)
-50
What is -1 - -53 - (-36997 - -37082)?
-33
Evaluate 16 + (74 + -56 - (18 + 0)).
16
-18 + (-15 + (23 - 22) - (-2 + -27))
-3
Calculate (-8 + 35 - 30) + -7 + 116.
106
-17 + 27 + 6 + (79 - 1) + -8
86
What is the value of -16 - -3 - (-2 - -7) - 1 - (47 + -55)?
-11
0 + -107 - ((-160 - 329) + 525)
-143
| {
"pile_set_name": "DM Mathematics"
} |
implify y**(-2/7)/(y**7*y)*((y/y**(1/4))/y)/(y/((y/(y**(-3)/y))/y))*(y**(-6)*((y**(-6)/y)/y)/y)**28 assuming y is positive.
y**(-11915/28)
Simplify u**(-6)*u**2*(u**1)**11*(u*u**(-6)*u**5)/(((u/(u**3*u))/u)/(u*u**(-2))) assuming u is positive.
u**10
Simplify (v**(1/4)/v**(-3)*v*v/(v**(-2/9)/v)*v*v/(v/(v*v**6/v*v)))/((v/(v*v*v**0))/(v*v/v**(-1/6)))**12 assuming v is positive.
v**(1889/36)
Simplify ((((i/((i*i**(-39)*i)/i))/i)/(i/(i/i**(8/7))))/(i/(i**(-14)/i))**(-6/37))**(-7/11) assuming i is positive.
i**(-10218/407)
Simplify (((q**(-1))**(-1/5)*(q/(q/(q/q**(-2/5)))*q*q)**(-1/9))**(-5/7))**(-32) assuming q is positive.
q**(-256/63)
Simplify q*q/(q**(-1/11)/q)*q*q/(q/(q*q**(-10)/q))*(q**(-7)/q)**(31/4) assuming q is positive.
q**(-747/11)
Simplify (a/(a*a/(((a/(a/a**8)*a)/a)/a)*a)*a**4)**20*((a**(-1/3))**23)**18 assuming a is positive.
a**42
Simplify r/((r**(13/8)/r)/r)*r*r**(2/33)*r*r*(r**(-1)/r)/r*(r/(r**35/r))/r assuming r is positive.
r**(-8597/264)
Simplify (((p*p*((p**(5/3)/p)/p)/p)/p)/p*p*p/(p**(-3)*p*p))**10*(p/(p**(-2/5)*p)*p*p/(p*p/p**(1/8)))**(-6) assuming p is positive.
p**(811/60)
Simplify ((q**(-1/2))**(-24)*q**11/q*q/q**12)**(-2) assuming q is positive.
q**(-22)
Simplify (((b*b*b**(-4))/b)/b**(-2/23)*b/(b/(b**5*b))*b*b*b**(1/4)/b)/(b/(b**(1/6)/b)*b/b**(1/4)*((b/(b*b/b**(1/2)))/b)/(b**(5/4)*b*b)) assuming b is positive.
b**(1795/276)
Simplify d**(-2/101)/d**(-34)*(d/(d*d/(d*d**(-16))))**26 assuming d is positive.
d**(-38584/101)
Simplify ((a**(-1/17)*a*a*a*a**(-4/5)*(a*a**(-3)*a)/(a**2*a*a))**(2/3))**(16/11) assuming a is positive.
a**(-2592/935)
Simplify (((m*m/(m/(m**(-2/101)*m)))/m)**(-38)/(((((m**(-48)/m)/m)/m)/m)/((m*m/m**40)/m)))**48 assuming m is positive.
m**(-117552/101)
Simplify ((b/((b/b**(-5)*b)/b))/(b/(b/b**(-2)))*(b/(b*b**(-1/2)))**(-25))/(b**(-3)*(b*b**(-1/9))/b*b)**23 assuming b is positive.
b**(595/18)
Simplify ((b**(-1/17)*b)/((b/b**(-2/7))/b))/(b**12*b*b**(-10)) assuming b is positive.
b**(-279/119)
Simplify ((w**(-12)*w)/(w/((w/(w/(w*w/(w/(w*w**(-3/8))))))/w)*w))/(w**(-13/3))**(-7) assuming w is positive.
w**(-1025/24)
Simplify (((q**1)**(-5)*(q*q/q**(-1)*q)**(5/12))**(5/11))**(2/67) assuming q is positive.
q**(-100/2211)
Simplify (i/i**(-7)*i**(-2))/(i*i*i/(i/((i/i**2)/i))*i/i**(2/11))*i**(-3/4)/(i*i**(-1)/i)*i/(i**3/i)*i/(i*i*i**5) assuming i is positive.
i**(-69/44)
Simplify (c**(-1/3))**(-1/13)*(c*c*c/c**1*c*c*c)**(-5/12)*((c*c**(-3/5)/c)/(c/(c*c*c**3)*c))/((c**(1/7)/c)/c*c/c**(-2/7)*c) assuming c is positive.
c**(-157/1820)
Simplify ((l**(-1/4))**34*l**(1/2)*l/((l**2/l*l)/l))/(((l/(l*l**(-5)))/l**8)/(l**(-1/4)/(l*l**1))) assuming l is positive.
l**(-29/4)
Simplify (p/(p/p**(4/3))*p**(4/3))**(-5/3)*(p**0/p**(-2))/(p/p**(-5)*p/(p*p**(-2)*p)) assuming p is positive.
p**(-85/9)
Simplify ((s*s**(-6)*s*((s*s/(s/s**0)*s)/s)/s)/(s**(-1/2)*s**5/s))/(((s*s*s/(s/s**(3/2)))/s*s**(2/19))/(s**(5/6)*s*((s/s**(-1/4))/s)/s)) assuming s is positive.
s**(-2057/228)
Simplify (n*((n/((n*(n*n**(-10/7)/n)/n)/n))/n*n*n)/n*n*n)**29*((n**(-39)*n)/n)/n*n*n**(-30) assuming n is positive.
n**(822/7)
Simplify (q**(3/16)/((q*q*q/(((q**(-1/13)/q)/q)/q)*q)/q*q)*(q**(-3/4))**(-6/37))**32 assuming q is positive.
q**(-104170/481)
Simplify (((g/(g/(g*g*g**(-19)*g)*g*g))/g**(-1/3))/(g**24*g**(-19)))**(3/32) assuming g is positive.
g**(-17/8)
Simplify (u*u**(-1)*u*u**(5/2)/u*u)**(-35)/((u*(u**(-1)/u*u)/u*u*u**1/u)/(u*u**(-7)*u*u**(-6)*u)) assuming u is positive.
u**(-265/2)
Simplify (((j*j*(j**(-3/7)*j)/j)/j)**(-17/5))**(-9/4)/(j**(-2/35)/(j**(1/11)/j))**(-40) assuming j is positive.
j**(14803/385)
Simplify (((((q/(q/q**(-1/3)))/q)/q)/q*q)/(q/q**(-18))*(q*q**8)/(q*q*q**(-10)))**(-31) assuming q is positive.
q**(403/3)
Simplify ((q**(5/2)/(q/(q/(q*q*((q/q**(-1/15)*q)/q*q*q)/q*q*q))*q))/(q*q*q**(-3/2)*q**(-2/7)))/((q**1)**4)**37 assuming q is positive.
q**(-16042/105)
Simplify ((o**2)**23)**(11/6)*(o**1*o)**(-1/18)/(o/(o/(o*(o*o/(o/(o*o*o**(-2))*o*o)*o)/o)*o)*o*o**(3/4)) assuming o is positive.
o**(3005/36)
Simplify ((k**(-7/2)*(k/k**(-14))/k*k)/(k**(1/8))**(-40))**(-1/17) assuming k is positive.
k**(-33/34)
Simplify (f*f**(-2/5)*f*f*f/(f*((f/(f/(f*f**(-3/2))))/f)/f*f)*f*(f/f**(-6))/(f/f**(2/11)))/((f**(-1/3))**(16/5))**(-29) assuming f is positive.
f**(-1297/66)
Simplify (d/(d**(-6)*d*d))/((d*d/(d*(d**(-2)*d*d*d)/d*d))/d)*(d**6/d)/d**1*(d*d**7/d*d*d**(-7)/d)/(d*d**(-5/4)/d*d/(d**5/d)*d) assuming d is positive.
d**(53/4)
Simplify (p*p*p**(-2/7))**3*p**(-7)*p/(p*p/((p**(-1/4)*p)/p)*p*p)*(p**(-7/4)*(p/p**(2/21))/p)/(p*p**(2/5)*p)**(-48) assuming p is positive.
p**(11366/105)
Simplify z**(2/7)/(z*z**(-2/7)/z)*(z*z**(3/4))/z*z**7*z**(-4/11)/(z/(z*z*(z/z**(2/13)*z)/z*z*z))*(z/(z/(z*z/z**(-1/2)*z)))**(-21/4) assuming z is positive.
z**(-52621/8008)
Simplify ((s**(-4/9)/s**(-2))/(s*s**0*s**4))/((s*(s*s**4*s)/s)**8)**2 assuming s is positive.
s**(-895/9)
Simplify (((s/(s*s**(5/7)))/(s/(s*s**(-8/7)/s)))**35)**(-34) assuming s is positive.
s**3400
Simplify (((k**(-10)/(k*k/(k*(k*k**12)/k*k)))/((k/(k*k*k*k**(-1/5)))/(k**(-1/2)/k)))**(-1/60))**(2/35) assuming k is positive.
k**(-23/10500)
Simplify (x*x*x/(x*x/x**(5/8)))/(x*x/(x*x/x**(-37))*x)*x/x**(6/29)*x*x**(10/17) assuming x is positive.
x**(157785/3944)
Simplify ((r*r*r/r**(-1/3))**(-8/17))**(2/55)*(r/(r*(r/(r*r**(-2/5))*r)/r)*r)**36/((r/r**(2/9))/(r**(1/2)/r)) assuming r is positive.
r**(341063/16830)
Simplify a**(-7/2)*a**26*a**17*a*a**29*a assuming a is positive.
a**(141/2)
Simplify ((p**9*p**(-5/4)/p)/(p**(-1/7)/p*p*(p*p**0)/p))**15 assuming p is positive.
p**(2895/28)
Simplify ((f*f**(-6)/f*(((f/((f/f**8)/f))/f)/f)/f)/(f**2)**20)**(10/7) assuming f is positive.
f**(-400/7)
Simplify f**(3/4)/f**(1/3)*(f**0)**(-41)*(f/(f*f**0)*f*f)/f*((f/f**(-1))/f)/f*f**(-3/5)*f**(-5) assuming f is positive.
f**(-251/60)
Simplify (d**(-8/9)/d**(-5/7)*(d/(d/((d**(-2/7)/d)/d)*d))/d**13)**(-13) assuming d is positive.
d**(13481/63)
Simplify u*u**(-1)*u**3*((u*u*u/u**(-2/7))/u)**17*(u**(2/7))**(13/6)/(u*u**0)**(15/8) assuming u is positive.
u**(6821/168)
Simplify (d*d*d/((d**(2/15)/d)/d*d)*d**(-2))**(2/129)*(((d/(d**(-2/5)/d))/d*d)/d)**32*d*d**(1/4)*d**(-1/3) assuming d is positive.
d**(354071/7740)
Simplify (t**(3/5)*t/(t**0/t))**(-1/2)/(t/(t**(3/5)*t*t)*t**2/t*(t/(t/t**9*t))/t*(t**(1/7)*t*t)/t) assuming t is positive.
t**(-619/70)
Simplify (g**6/g**12*(g**0)**(-26))**(-2) assuming g is positive.
g**12
Simplify (a**12/a**(1/3))**(-45)*a**(-1)*(a**(2/13)/a*a)/a*a**(-5/2)/((a**(2/17)/a)/a) assuming a is positive.
a**(-233139/442)
Simplify ((s*s**(1/2))**6/(((s/((s*s**(2/11))/s))/s)/(s/(s/s**(2/5)))))/((s**(-6)/((((s*s**(-3/8))/s)/s)/s))/(s*s**(-1))**(-2)) assuming s is positive.
s**(5811/440)
Simplify ((u/(u*u**(1/2))*u*u/(u/u**(-12)))/(u/(u*u**15/u*u)*u**(-6)))**19 assuming u is positive.
u**(361/2)
Simplify (r**(-5)/(r**(-3/2)*r))/(r*r*r/r**1*r*r*((r/r**(1/12))/r)/r)*(r*r**(-1/5)/r*r*r**(-1/10)*r)/(r*(r**(2/5)*r*r)/r)**(-2/81) assuming r is positive.
r**(-611/108)
Simplify ((h**(13/5))**(1/4)/(h/(((h/h**(-5/9))/h)/h)*h**(1/2)/h))**20 assuming h is positive.
h**(-53/9)
Simplify ((n**(1/4)*n)**(17/2)*n**5*n**(3/5)*n)/(n**(1/2)*n/n**(-1/6)*n**(-2/7)*n*n**(-2/7)) assuming n is positive.
n**(12709/840)
Simplify (w*w/w**(-1/46)*w)**26*w**(1/12)*w**20 assuming w is positive.
w**(27227/276)
Simplify (h*h*h**(3/5)*h/h**(-1))**(-46/3)*h*h**(-5)*h**(1/9)*h*h*h/(h/(h**(1/2)*h))*(((h*h/h**2)/h)/h)/h assuming h is positive.
h**(-6653/90)
Simplify ((m/(m**(2/15)/m))/m*m*m*((m**(1/2)/m)/m)/m*m*m**3/m*m*m*m/(m**(5/6)/m)*m)/((m**5/(m*m**7))/(m**1/(m*m/m**(-2)))) assuming m is positive.
m**(113/15)
Simplify (c*c**24)/c**41*(c**(-11/3)*c)/(c/(c*c**(-15/4))) assuming c is positive.
c**(-269/12)
Simplify (h**(-1))**(-14/9)*(h/(h/((h/(h*h/(h/(h**(-2)*h))*h))/h)))/(h/(h**(4/3)*h))*(h/h**(-5))/(h*h**4)*(h/h**(-2/7))/h**5 assuming h is positive.
h**(-52/63)
Simplify ((g/g**(2/3))**37)**(-17/6)*(g*(g*g**(-1))/g)**(-26)*(g/g**0)**30 assuming g is positive.
g**(-89/18)
Simplify (f/(f/(f*f**(-1/3)))*f*f*f)**(-7/12)*((((f/(f*f**(-1)))/f*f)/f)/f)/(f*f/f**(-1)*f)*((f**(2/7))**6)**(-3/13) assuming f is positive.
f**(-24683/3276)
Simplify (i**(-2/29)/(i**5*i))**(-12)/(i**(-1/2)*i/i**(-2)*(i**(-2/3))**(2/27)) assuming i is positive.
i**(330631/4698)
| {
"pile_set_name": "DM Mathematics"
} |
b**2 + n and give y.
2716
Express -3*t + 2*t - 18870*t**3 + 2 + 18880*t**3 - t**2 + 5*t**4 - 3 in the form z*t + k*t**2 + r*t**4 + p*t**3 + y and give z.
-1
Rearrange (-g + 2 + 1 - 1)*(17589*g - 36730*g + 14589*g) to z + q*g**2 + u*g and give q.
4552
Rearrange -15*w**2 - 2*w**3 + 40422*w**4 - 20212*w**4 - 20180*w**4 - w + 1 to the form b + v*w**2 + i*w**3 + c*w + r*w**4 and give b.
1
Express -4 + 2*o**4 - 36*o - 3*o**2 - 37*o + 11*o**3 + 117*o + 5*o**3 - 41*o as i*o**3 + d*o**4 + w*o**2 + t*o + f and give i.
16
Express -362 - 4*t + 78*t**4 + 12*t + t + 2*t + 363 in the form m*t**4 + p*t + c + z*t**3 + x*t**2 and give p.
11
Express -121 + 9*p**2 - 80 + 3*p**2 + 30*p**2 + 173 in the form a*p + o*p**2 + m and give o.
42
Rearrange 2*m - 28*m**3 - 2*m**4 + 6*m**3 + 34*m**3 + 5*m + 2*m**2 to the form w*m**4 + k*m**2 + y*m + u*m**3 + v and give k.
2
Express 246 - 1519*k - 174 - 73 in the form a*k + w and give w.
-1
Express -220*y**2 + 663*y**2 - 219*y**2 + 91 + 4*y - 225*y**2 in the form z*y**2 + p + j*y and give p.
91
Express (-12*s**3 - 10*s**2 + 10*s**2)*((-5 + 0 + 3)*(3*s - 5*s + 4*s) + 123*s - 121*s - 179*s) in the form i*s**3 + c + v*s + x*s**4 + y*s**2 and give x.
2172
Rearrange -r**2 + 2124 - 3405 + 1704 to the form y*r**2 + k + s*r and give y.
-1
Express 24*w + 80*w - 29*w + (3*w - 3*w - w)*(3 + 3 - 4) - 3 - w + 3 + (1 - 2 - 1)*(-4*w + 5*w + w) + 8*w + 5*w - 4*w as s + d*w and give s.
0
Rearrange 3*a**4 - 188*a + 13 - 56 + 12 + 16 + 9 to s*a + d*a**3 + l*a**4 + x*a**2 + j and give j.
-6
Rearrange 436*a + a**2 + 793*a + 589*a - 243*a + 2 - 104*a to z + t*a**2 + u*a and give u.
1471
Express 8761*i - 18021*i + 8825*i - 2 in the form g*i + h and give g.
-435
Rearrange 591*b**3 + 1 + 591*b**3 + 14*b - 1185*b**3 - 3 + 3*b**2 to q*b**3 + u + m*b**2 + n*b and give u.
-2
Rearrange -1397*b + 475*b + 2*b**3 + 3*b**2 + 13*b**2 - 16*b**2 to f*b**3 + j*b + y + o*b**2 and give j.
-922
Rearrange ((-4 + 6 + 8)*(4*b - 4*b + b) - 2*b + 4 - 4 + 5 + 2*b - 5)*(0 - 4 + 15) to u + j*b and give j.
110
Rearrange -113 - 53*u - 66*u - 49*u + 161*u to the form p + a*u and give a.
-7
Express 7484*m - 582*m + 6607*m in the form p + n*m and give n.
13509
Express (-2 + 0 + 5)*(-20 + 55 - 20 - a)*(0 - 1 + 2)*(-a + a + a) in the form s + q*a**2 + k*a and give q.
-3
Express 2363*j + j**2 - 6*j**2 - 2124*j in the form y*j**2 + x + f*j and give f.
239
Rearrange 1103*y + 3734*y + 75*y to the form m*y + j and give m.
4912
Express 48445*u**2 + 151 + 144 - 453 + 71749*u**2 + 158 + (u - u - u)*(u + 0*u + 0*u) in the form l*u**2 + k + q*u and give l.
120193
Express 10524*s + 866*s + 1072*s + 4428*s + 3427*s as c*s + b and give c.
20317
Express -3*g + 5*g - 3*g + (3 + 0 - 1)*(1 + g - 1) + (2 + 3 - 7 + (1 + 7 - 2)*(1 - 1 + 2))*(4189 - 532*g - 4189) as s + j*g and give j.
-5319
Express 3943 - 4128 + 3*k - 8*k in the form v*k + b and give v.
-5
Rearrange 2*t + 26571*t**2 - 25 + 26569*t**2 - 53153*t**2 to the form b*t + v*t**2 + n and give b.
2
Express -2*c**2 + 4*c - 4*c - 3*c - c + 0*c + 157 in the form n*c**2 + w + f*c and give w.
157
Express ((-2 - 3 + 2)*(56 - 6 + 48) + (-4 + 3 + 3)*(-6 + 2 + 1))*(-2*t**2 - t**2 + 4*t**2) as g + l*t + s*t**2 and give s.
-300
Express 2*s**2 - 18*s**3 - 120 + 122 + 13*s**3 + 10*s**4 - 43*s**3 - 6*s**3 as g*s**4 + a*s + v*s**3 + w*s**2 + f and give f.
2
Rearrange 3*p + p + p + (13 - 51 - 68)*(464 - 20*p - 464) to the form c + w*p and give w.
2125
Rearrange 33*j**4 - 2 + 45*j**4 - 44*j + j**2 - 64*j + 112*j to the form c*j**4 + l + s*j**2 + k*j + t*j**3 and give k.
4
Rearrange (n - n - n)*(1 - 2 + 0)*(5 - 4 + 1)*(-447 + 26 - 1903) + n + 0*n + 0*n - 3*n + 3*n - n + (-1 - 1 + 1)*(n - n - n) + n - 4 + 4 to v*n + a and give v.
-4646
Express (1 - 1 - n + (5*n + n - 4*n)*(-1 + 4 - 2) + 4*n - n - 2*n + 79*n + 5*n + 23*n)*(-3 + 2 - 1) - 2*n - 2*n - 7 - 3*n in the form h + r*n and give r.
-225
Express 130*v**2 - 7*v - 251*v**2 - 322*v**2 - 2*v + 2*v in the form h + r*v + g*v**2 and give g.
-443
Express -28*x + 25*x - 6*x**2 + 2*x + 86*x**3 in the form g + a*x + b*x**2 + f*x**3 and give a.
-1
Rearrange -4 + 3 + 4 + 124*h - 190*h**4 + 200*h**4 to the form z + n*h**3 + p*h**4 + t*h + l*h**2 and give p.
10
Express (37*s**2 - 19*s**2 - 16*s**2)*(-117*s - 93*s - 78*s) as f*s + h*s**2 + r + a*s**3 and give a.
-576
Express (3401*b**2 - 5808 + 5808)*(0*b + 0*b - 2*b) in the form w*b**2 + s + o*b + p*b**3 and give p.
-6802
Express -2243 + 6714 - 163*p - 2234 - 2235 in the form o + i*p and give i.
-163
Express -6 + 4 + 2*j - 1 + 6 - 13*j**2 + 7 + j**3 in the form a*j**2 + p + q*j + r*j**3 and give r.
1
Express -31*u + 270*u**2 + 59*u - 18*u - 277*u**2 + 9*u**3 - 34*u in the form n*u**3 + l*u + a*u**2 + g and give a.
-7
Express 43*b + 4 + 4 - 5 - 21*b - 20*b + b**4 - 271*b**2 as s + d*b**2 + n*b**3 + a*b + i*b**4 and give i.
1
Rearrange (18 + 0 + 18)*(88*d - 158*d + 111*d) to the form w*d + g and give w.
1476
Express 83*w - 5*w**4 + 12*w**4 - 126*w**2 - 82*w in the form g*w**4 + h*w + d*w**2 + f + x*w**3 and give h.
1
Express (-32*w - 3*w + 4*w)*(2*w + 4*w + 11*w)*(-4 - 4*w**2 + w - 12 + 19) in the form x + c*w**4 + o*w + i*w**3 + n*w**2 and give c.
2108
Rearrange (s - s + 7*s)*(-2 + 2 + 3*s) - 3*s**2 + 6*s**2 + 0*s**2 + (1 + 2*s - 1)*(6*s - s - 2*s) to the form v + w*s + q*s**2 and give q.
30
Rearrange (216 - 1891 + 151 - 6139 + 464)*(5*f - 4*f + 5*f) to the form y*f + t and give y.
-43194
Rearrange 30*q**2 + 201*q**4 + 211*q**4 - 52*q**2 - 4*q - 2 - 626*q**4 + 202*q**4 to the form f + y*q**4 + x*q**3 + o*q + i*q**2 and give f.
-2
Rearrange -12 - 63 + 15751*i - 57 + 132 to the form d*i + g and give d.
15751
Rearrange (y + 0*y + 0*y)*(-11*y + 5 - 5) + (6*y - 3*y - 5*y)*(-4 - 3*y + 4) + (-y + 1 - 1)*(2*y + 5 - 5) to f + q*y + d*y**2 and give d.
-7
Express (-1 - 24906*n + 50572*n - 20260*n)*(5 + 1 - 4)*(-2 + 1 + 3)*(-4 + 2 + 3) as w*n + u and give w.
21624
Rearrange (2*t**3 - 4*t**3 + 4*t**3)*(3911 - 13065 - 13777 - 5269 + 3046)*(-2*t + 3 - 3) to f + s*t**4 + d*t**3 + k*t**2 + b*t and give s.
100616
Rearrange -31*i**2 + 29*i**2 - i + 663*i**3 - 642*i**3 + 3 to l + y*i + m*i**2 + x*i**3 and give x.
21
Rearrange -20 - 8*k + 55*k + 4 + 61*k + 12*k to m + u*k and give m.
-16
Rearrange 618 + 0*r**3 - 7*r**3 - 3*r + 14*r**2 + 84*r**2 - 620 + 9*r**3 to c + l*r**2 + q*r + b*r**3 and give l.
98
Express 6517 - 37*p**2 - 6517 + (4*p - 3*p - 5*p)*(0*p + 6*p - 3*p) as y*p + o + f*p**2 and give f.
-49
Express 7 + a - 7 + (-a - 4*a + 3*a + (4 - 2 - 3)*(-3*a + 3*a + 2*a) - 146 - 22*a + 146)*(0 - 3 + 0) - 48 + 58 + a + 0*a in the form o + c*a and give o.
10
Rearrange 19950*w - 39896*w + 402*w**2 + 19953*w to t + f*w + j*w**2 and give j.
402
Rearrange 42*a**4 - 129*a**4 + 1 + 21 + 44*a**4 - 2*a + 41*a**4 to w*a + y + n*a**2 + v*a**4 + x*a**3 and give w.
-2
Express (-2*l + 3 + 0*l - 2*l + (5 - 5 + l)*(6 + 12 - 31) - 2*l + l + 0*l)*(14*l**2 + 3*l**2 - 2*l**2) in the form x + z*l + g*l**3 + p*l**2 and give p.
45
Express (11646*i + 3263*i + 2498*i + 14384*i)*(-3*i**2 - 4*i**2 + 5*i**2) as w*i**3 + g*i**2 + b + a*i and give w.
-63582
Express (-4*k + k + 4*k)*(-1 + 4 - 5)*(-211 - 38 + 35)*(2 + 2*k - 2) as h + w*k**2 + l*k and give w.
856
Express -147 + 291 - 144 - 5099*a - 9307*a as f*a + m and give f.
-14406
Express 4*p + 1582*p**2 - 58*p**3 - 5*p - 3150*p**2 + 1573*p**2 in the form f*p**3 + n*p + h + a*p**2 and give a.
5
Express (-9 + 3 - 2)*((1 - q - 1)*(10 - 2 + 1 + (5 - 1 - 2)*(0 - 1 - 1) - 7 + 1 - 9) + (q + 0*q - 3*q)*(2 + 2 - 2)) as p + l*q and give l.
-48
Express -501*f - 10*f + 87*f - 7 - 7 + 1 as t*f + k and give t.
-424
Rearrange (2*g**2 - 2*g**2 - 2*g**3)*(81*g + 54*g + 5 - 148*g) to m*g**3 + y*g + z*g**4 + k*g**2 + o and give m.
-10
Express (-50*z**3 + 53*z**3 + 3*z**2 - z**2)*(-10683 - 4270 - 2509 + 454) in the form c + q*z**3 + r*z**2 + p*z and give r.
-34016
Rearrange 3366*h - 106478*h**2 + 53242*h**2 + 53239*h**2 to s*h**2 + b + x*h and give x.
3366
Express 601*z + 117*z + 6700*z in the form p*z + r and give p.
7418
Rearrange -131*t**2 - 132*t**2 - 5407 + 0*t + 264*t**2 + 0*t to c*t + n*t**2 + v and give n.
1
Rearrange -202*l**4 + 3*l + 60 + 2*l**2 - 61 + 105*l**4 to the form g*l**4 + u*l**2 + a*l**3 + p*l + c and give g.
-97
Rearrange (-107*y + 1099 + 538*y - 1099)*(-2805*y**2 + | {
"pile_set_name": "DM Mathematics"
} |
ement from iiiwpiiiipiwi.
3/26
What is prob of sequence top when three letters picked without replacement from {b: 3, o: 1, p: 3, t: 3, d: 3, h: 1}?
3/728
What is prob of sequence yo when two letters picked without replacement from meoyoom?
1/14
What is prob of sequence hh when two letters picked without replacement from vhgghm?
1/15
Two letters picked without replacement from {m: 1, r: 4, q: 6, s: 3, v: 4, l: 1}. What is prob of sequence sl?
1/114
Calculate prob of sequence zzzk when four letters picked without replacement from {z: 3, k: 9}.
1/220
Two letters picked without replacement from {t: 1, s: 1, f: 1, p: 4, c: 4, a: 7}. What is prob of sequence fc?
2/153
Three letters picked without replacement from {p: 9, g: 10}. What is prob of sequence ppg?
40/323
What is prob of sequence ik when two letters picked without replacement from {e: 3, k: 3, i: 9, g: 2, q: 1}?
3/34
What is prob of sequence wj when two letters picked without replacement from {w: 11, j: 2, z: 2}?
11/105
What is prob of sequence ooo when three letters picked without replacement from oooooooooo?
1
Calculate prob of sequence bdd when three letters picked without replacement from dpdppjbbobopdkppp.
3/680
Four letters picked without replacement from {q: 2, h: 3, f: 5, p: 1, t: 1, j: 3}. What is prob of sequence hfth?
1/1092
Two letters picked without replacement from ikbtk. Give prob of sequence bk.
1/10
Calculate prob of sequence llc when three letters picked without replacement from cclllclllcclcc.
7/52
Three letters picked without replacement from {b: 1, i: 1, r: 1}. What is prob of sequence iri?
0
Calculate prob of sequence tti when three letters picked without replacement from sixtsitnnientie.
4/455
Three letters picked without replacement from lxxlyxxlxxyxyylxldy. Give prob of sequence dyy.
10/2907
Three letters picked without replacement from {m: 2, r: 18}. Give prob of sequence mmr.
1/190
Two letters picked without replacement from wwffswkkkwwxzwwkz. What is prob of sequence sw?
7/272
What is prob of sequence pdd when three letters picked without replacement from {p: 3, d: 9}?
9/55
Four letters picked without replacement from {f: 5, p: 7}. What is prob of sequence fpfp?
7/99
What is prob of sequence rp when two letters picked without replacement from grgggrzrpzgdgp?
3/91
Calculate prob of sequence go when two letters picked without replacement from dzgagggorgadagggdg.
1/34
Three letters picked without replacement from iccci. What is prob of sequence cii?
1/10
What is prob of sequence bibb when four letters picked without replacement from bbbibbibbbbibb?
45/364
Four letters picked without replacement from wwwwbbywywwbwwbbb. Give prob of sequence bywy.
9/4760
What is prob of sequence gg when two letters picked without replacement from ygggyg?
2/5
Four letters picked without replacement from {u: 7, b: 3, i: 3}. What is prob of sequence bbbi?
3/2860
Three letters picked without replacement from {l: 4, s: 6}. What is prob of sequence ssl?
1/6
Calculate prob of sequence dss when three letters picked without replacement from {s: 3, d: 2}.
1/5
Four letters picked without replacement from grffpfd. What is prob of sequence gfdp?
1/280
Two letters picked without replacement from xjjvxxxmxmxx. What is prob of sequence mx?
7/66
What is prob of sequence fmff when four letters picked without replacement from mfffmffmmmmmmm?
45/2002
Four letters picked without replacement from nnnnsnsnnnnnsnnnsnnn. Give prob of sequence nnnn.
364/969
Four letters picked without replacement from ivvbcc. What is prob of sequence vvci?
1/90
Three letters picked without replacement from ttmtttmmtmtmtttmtt. Give prob of sequence ttm.
11/68
Three letters picked without replacement from ffwffw. Give prob of sequence fww.
1/15
Calculate prob of sequence as when two letters picked without replacement from {c: 2, j: 1, s: 1, a: 3}.
1/14
Three letters picked without replacement from eqtywtyc. Give prob of sequence ycq.
1/168
Two letters picked without replacement from zzzaza. Give prob of sequence aa.
1/15
Three letters picked without replacement from vvyvpvpyv. What is prob of sequence ypy?
1/126
Two letters picked without replacement from {h: 2, d: 1, x: 2, k: 1, p: 2}. Give prob of sequence kx.
1/28
Two letters picked without replacement from pqxqnynd. Give prob of sequence xp.
1/56
Calculate prob of sequence do when two letters picked without replacement from {d: 11, o: 3}.
33/182
Calculate prob of sequence wcx when three letters picked without replacement from {i: 1, w: 3, x: 6, c: 4, q: 2}.
3/140
Two letters picked without replacement from {c: 1, r: 3}. What is prob of sequence rc?
1/4
Calculate prob of sequence ej when two letters picked without replacement from ljmedbd.
1/42
Two letters picked without replacement from {h: 2, w: 1}. Give prob of sequence hw.
1/3
Three letters picked without replacement from wwwzzux. Give prob of sequence wwu.
1/35
Three letters picked without replacement from uweeweeewefwefswww. Give prob of sequence ffw.
7/2448
What is prob of sequence bb when two letters picked without replacement from {b: 3, n: 1}?
1/2
Calculate prob of sequence ez when two letters picked without replacement from {t: 3, z: 4, d: 3, e: 2, j: 4}.
1/30
Two letters picked without replacement from xisfz. What is prob of sequence xz?
1/20
Two letters picked without replacement from {y: 11, m: 1}. What is prob of sequence my?
1/12
Three letters picked without replacement from ssssssssss. What is prob of sequence sss?
1
Calculate prob of sequence zmv when three letters picked without replacement from {h: 3, m: 1, d: 7, v: 1, z: 1}.
1/1716
Two letters picked without replacement from dttt. Give prob of sequence td.
1/4
Calculate prob of sequence euo when three letters picked without replacement from oeaooaaaxaauuu.
3/728
Three letters picked without replacement from {x: 5, z: 2}. Give prob of sequence xxx.
2/7
Three letters picked without replacement from vddqdvqdd. What is prob of sequence dvd?
5/63
Two letters picked without replacement from {b: 4, r: 2, h: 1, w: 1, p: 1}. What is prob of sequence hb?
1/18
What is prob of sequence rqr when three letters picked without replacement from arllaaaqqrala?
1/429
Four letters picked without replacement from {x: 1, q: 1, o: 3, n: 1, w: 1}. What is prob of sequence oqox?
1/140
Four letters picked without replacement from {d: 1, y: 1, q: 1, t: 1, a: 1}. Give prob of sequence dttd.
0
Calculate prob of sequence qww when three letters picked without replacement from {w: 2, o: 5, q: 2}.
1/126
Calculate prob of sequence cn when two letters picked without replacement from {c: 6, n: 2}.
3/14
What is prob of sequence ibjh when four letters picked without replacement from {j: 8, v: 6, b: 1, i: 3, h: 1}?
1/3876
Calculate prob of sequence qb when two letters picked without replacement from {d: 1, f: 6, k: 7, z: 2, b: 2, q: 1}.
1/171
Calculate prob of sequence ej when two letters picked without replacement from uwjcjte.
1/21
What is prob of sequence zs when two letters picked without replacement from {s: 3, z: 4, m: 1}?
3/14
Three letters picked without replacement from dttpmpt. Give prob of sequence mtp.
1/35
Calculate prob of sequence wgs when three letters picked without replacement from sogowgwrgoor.
1/220
What is prob of sequence xxyu when four letters picked without replacement from {s: 1, u: 1, c: 3, n: 6, y: 2, x: 2}?
1/8190
Calculate prob of sequence zad when three letters picked without replacement from {z: 4, a: 2, r: 1, d: 3}.
1/30
Four letters picked without replacement from {b: 2, a: 1, z: 8, h: 1, n: 1, i: 2}. What is prob of sequence aihh?
0
Calculate prob of sequence avvv when four letters picked without replacement from bmbbalvvvbbmmvb.
1/1365
Three letters picked without replacement from pxjngnnpggijxgpx. What is prob of sequence nxj?
3/560
Calculate prob of sequence beb when three letters picked without replacement from {e: 5, n: 2, b: 2}.
5/252
Calculate prob of sequence pppq when four letters picked without replacement from psppqdrdpdggspd.
1/546
Three letters picked without replacement from {g: 6, a: 4}. What is prob of sequence aag?
1/10
Calculate prob of sequence boy when three letters picked without replacement from {x: 4, o: 1, e: 2, b: 7, y: 4, n: 2}. | {
"pile_set_name": "DM Mathematics"
} |
common multiple of y and 12?
12
Let t(u) = -u + 1. Suppose -4*b - 2 = -30. What is the smallest common multiple of b and t(-5)?
42
Suppose t - o - 19 = 2*o, 8 = 4*t + 5*o. Let s = 31 + -22. Suppose m = -0*m + s. Calculate the least common multiple of t and m.
63
Let y be (-4)/(-20) + (-502)/1960. Let s = 591/196 - y. Find the common denominator of 5/14 and s.
14
Let j = -5/2592 + -154199/12960. What is the common denominator of j and 1/2?
10
Let a = -39 + 59. What is the smallest common multiple of (-1 - 0)*4*-4 and a?
80
Find the common denominator of 31/14 and (6/(-192))/((-1)/6).
112
Let f = 8219/3 + -11001/4. Find the common denominator of 59/18 and f.
36
Suppose 3*h + 551 - 56 = 0. Let y = -36515/6 + 6111. Find the common denominator of 1/3*h/50 and y.
30
Suppose -2*o + 0*o + 2 = 0. Calculate the least common multiple of o and 9.
9
Suppose -2*q - 1 = 2*l - 7, -2*q = l - 11. Calculate the lowest common multiple of q and 18.
72
Suppose -4*k + 3*c = -20, -3*k + 2*k - 18 = 5*c. Calculate the lowest common multiple of 12 and 89/4 + k/(-8).
132
Let l(f) = 548*f - 6. Let j be l(7). Let t = -30543/8 + j. Find the common denominator of t and (-639)/(-60) + (-3)/(-12).
40
Let n be (2/(6/(-9)))/(-1). Suppose 4*p = i, n*i + 9 = 7*p - 4*p. Find the common denominator of 22/7 and 789/72 + p/3.
56
Let y = -591283/73404 + -3/8156. What is the common denominator of 3 + (-5)/(-50) - 3 and y?
90
Let p = -23 - -43. What is the common denominator of (-3 - (-107)/(-3))/(-6) and (79/(-3))/(p/(-6))?
90
Let c(b) = 9*b. Let y be c(-2). Let l be (y/6)/(6/(-4)). Suppose -4*h = 3*g - 87, -5*h + 4*g - l*g = -80. What is the lowest common multiple of 16 and h?
144
Let u = 27 + -5. Calculate the least common multiple of u and 54.
594
Suppose 3*q + 4*o - 2*o + 58 = 0, 4*q - 3*o + 49 = 0. Calculate the common denominator of 85/16 and (-4)/3*14/q.
48
What is the lowest common multiple of 20/(-6)*(-54)/5 and 12?
36
Suppose p = 45 - 14. Suppose 13 = -3*o + p. Suppose -5*u = -3*k + 2, -5*u - 10 = k - o*k. Calculate the lowest common multiple of k and 22.
44
Suppose 0 = 5*h - d - 55, 0*h + d - 45 = -5*h. Let g be (-84)/h + (-4)/(-10). What is the common denominator of 4/g - (-86)/28 and 42/11?
77
Let o = 21 - 9. Let w be (-11 - -7)/(-1*1). Suppose 2*b - o = -2*y - 0*y, -4 = w*y. Calculate the smallest common multiple of 1 and b.
7
Let h = -210431/14 + 15070. Let m = h + -54/7. What is the common denominator of m and 93/20?
20
Let n be (-2)/4*(-4)/(-1746). Let d = n + 12515/1746. Find the common denominator of d and -30/11.
66
Let m be (1 - -11)*10/6. Let t = -13 + m. What is the least common multiple of t and 5?
35
Let o = 2869224 + -28718983/10. Let l = -2672 - o. Find the common denominator of l and 3/(-18) + 21 + -2.
30
Let a = 7 + -9. Let m = 16 - a. What is the common denominator of (m/(-7))/(5/(-7)) and 43/8?
40
Let r be (-1)/(-3) + 60/9. Suppose 5*a - 8 = -2*v, 3*v - r*a + 3*a = 12. What is the lowest common multiple of 10 and v?
20
What is the common denominator of (-9)/(-3 + 0) + -5 and -39/10?
10
Suppose n - 3 + 4 = 0. Calculate the least common multiple of 41/4 - (-4)/(-16) and (4 - n) + 1 + 0.
30
Let n be (-4)/(-14) - (-230)/(-70). What is the common denominator of -65/8 and n - ((-189)/(-16))/7?
16
Suppose 6*s - 4*s = -4. Calculate the common denominator of ((-2)/(-6))/((-8)/6) and s*3*16/84.
28
Let u be (4 + -1)*8/6. Suppose 5*i - 8 = 3*f - 3, -u*i = -3*f - 1. Suppose -t - 14 = 4*h - 54, -t + 4 = 0. What is the least common multiple of h and f?
45
Let c = -161 + 162. Calculate the lowest common multiple of c and 38.
38
Suppose 39*z + 4*r - 36 = 37*z, r + 68 = 5*z. What is the lowest common multiple of (-114)/(-7) - 2/7 and z?
112
Let z = 47 - 7. Calculate the smallest common multiple of z and 12.
120
What is the smallest common multiple of 4 and 2/(-4) - (-60)/8?
28
Let x = 38 + 30. What is the least common multiple of 16 and x?
272
Let t(c) be the third derivative of c**6/120 - c**5/15 - c**4/3 + c**3/2 - 3*c**2. Let x be t(5). Find the common denominator of 54/x*26/15 and 8/11.
55
Let o(l) = l**2 - 4*l - 4. Suppose s + 13 = 4*h - 8, 0 = 4*s + 4. Let a be o(h). Calculate the common denominator of a/3 - (-33)/27 and 44/5.
45
Let r = 12835147 - 128245279/10. Let x = r + -10631. Find the common denominator of 50/7 and x.
70
Suppose -5*p + 3 - 38 = -5*i, 3 = i + 3*p. What is the common denominator of -56/5 and ((-6)/(-35))/(i/15)?
35
Suppose 0*u - 2 = -2*u. Calculate the common denominator of u/3*142/(-12) and ((-89)/(-10) - 9) + 5.
90
Let u = -10105 + 202039/20. Let v = -1249 + 1782. Let l = v - 1097/2. Calculate the common denominator of u and l.
20
Find the common denominator of (-6)/3 - (-32)/(-7) and 3/(-9) - 435/(-63).
7
Let j = -10 - -8. What is the smallest common multiple of ((-2)/j + -2)*-11 and 5?
55
Calculate the common denominator of (438/(-16))/((-75)/10) and 9/16.
80
What is the common denominator of (-12)/3120 - 4/(-26) and (-7)/4*10/(-13)?
260
Let f = -28 - -44. Calculate the least common multiple of f and 18.
144
Let l = -1297 + 1907. Let u = l - -6. Find the common denominator of 596/u - (-2)/(-7) and -43/16.
176
Calculate the lowest common multiple of 40*(12/60)/((-1)/(-2)) and 8.
16
What is the common denominator of -87/14 and (-4942)/(-1960) + 6/14?
140
Let p = 25 - 17. Let f be -3*(2/(-6) + -1). Suppose -3*w + f = -w. Calculate the lowest common multiple of w and p.
8
Calculate the common denominator of -1 - -1 - ((-68)/6)/1 and -4/39.
39
Let s(d) = -5*d + 6. Let v = -6 - -3. Find the common denominator of s(4) and (-1)/v + (-76)/(-36).
9
Let k(z) = -20*z. Let s be k(-1). Suppose 4*p + 3*w = -p + 28, 0 = 5*w + s. What is the least common multiple of p and 4?
8
Let v(r) = 4*r. Calculate the least common multiple of 6 and v(5).
60
Let j be -6 + 4 - (-6 - 0). Suppose j*x - 19 = -7. What is the smallest common multiple of x and 3?
3
Let q(c) = c**2 - c. Let t(g) = -2*g - 1. Let x be t(-2). What is the least common multiple of q(x) and 20?
60
Suppose -2*l - 4 = 10. Let m = -24 + l. Let f = 4018/11 - 364. Calculate the common denominator of f and m.
11
Let a(q) = -q**3 - 9*q**2 - 10*q - 12. Let k = 3 + 13. Let j be (-3 + 0)*k/6. Calculate the smallest common multiple of 5 and a(j).
20
Let g = 6 + -7. Let v(o) = -20*o. What is the lowest common multiple of v(g) and 22?
220
Let z = -43679/110 + 2002/5. Find the common denominator of z and (-81 - 2)/(0 - -20).
220
Let l(g) = -g**2 + 11*g + 16. Calculate the smallest common multiple of 12 and l(12).
12
Let b(a) = a**2 + 3*a - 1. Calculate the lowest common multiple of 18 and b(-4).
18
Let s = 26793/154 - 1187/7. Calculate the common denominator of s and -2 - ((-835)/90 - 0).
198
Let p(c) be the second derivative of 3*c + 1/6*c**3 + 0 + 7/2*c**2. Calculate the least common multiple of 8 and p(13).
40
Find the common denominator of -27/11 and 6/(-9) + (746/84 - 4).
154
Let j be (-1 - 1)*(-1 + 0). What is the common denominator of 3 + ((-121)/(-10))/(-1) and (-58)/12 + (-2)/j?
30
Suppose 3 + 1 = k. Suppose -r + 3*a + 65 = r, -k*a + 27 = r. What is the least common multiple of r/5 + (-3)/15 and 10?
30
Suppose 4*u - 2 = 18. Let d(w) = w**3 - 7*w**2 - 8*w + 10. What is the smallest common multiple of d(8) and u?
10
Suppose 2*x - 6*x + 125 = -b, -2*x = b - 55. What is the smallest common multiple of x and 25?
150
Let u = -864313/30 - -28807. Calculate the common denominator of u and -139/6.
30
Let c(g) = g**2 - 5*g + 7. Let t be c(5). Suppose 0 = 2*i - 5 - t. What is the common denominator of 3/10 and 46/i*18/(-15)?
10
Let f be ((-285)/(-3))/(-1) - -2. What is the common denominator of -55/2 and f/54 - (1 - 0)?
18
Let g(c) = 7*c - 10. Calculate the smallest common multiple of g(7) and 30.
390
Suppose -13 = -2*a + 1. What is the smallest common multiple of 5 and a?
35
Let b be ((-791330)/30)/((-10)/3). Let g = 7907 - b. Find the common denominator of 41/12 and g.
60
Let q = -51/70 + -3/140. Let h = 242/7 - 199/7. What is the common denominator of h and q?
28
Let a = 12 + -3. Suppose -20*k + 141 = -39. What is the lowest common multiple of a and k?
9
Suppose -3*y - 135 = -3*b, -5*b = y - 2*y - 229. Let g = -2 + 3. What is the common denominator of -17/2 and ((-2)/(-14))/(g/b)?
14
Calculate the lowest common | {
"pile_set_name": "DM Mathematics"
} |
et j = 0.258 + 0.142. Let t = -6 + 1. Which is the nearest to 0.1? (a) 0 (b) j (c) t
a
Let m = -131.9 - -129.9. Which is the closest to 2? (a) m (b) 5 (c) -21
b
Let x be (-2 + 2)/((-4*1)/(-2)). Let h = 29/2 + -14. Which is the nearest to h? (a) 2 (b) x (c) -0.1
b
Let u = 128 - 900/7. Let t = 3.993 + 0.007. Which is the nearest to 0.06? (a) u (b) t (c) 0.2
c
Let w = 1.464 + -95.464. Which is the nearest to 0.4? (a) 2 (b) 0.3 (c) w
b
Let o = 91 - -35. Let j = 30 + -36. Let k be (o/(-196))/(j/(-7)). Which is the nearest to k? (a) 0.3 (b) 0 (c) 0.05
b
Let z = 1594/13 - 122. Which is the closest to -0.2? (a) 1/5 (b) z (c) 0.5
a
Let t = -4/39 + -50/273. Let s be (-25*12/21)/(15/140). Let q = 135 + s. Which is the nearest to -1? (a) t (b) 0.5 (c) q
a
Let v = 1791/2 - 895. Which is the nearest to v? (a) 7 (b) 2 (c) 3/7 (d) -3
c
Let w = 0.093 - -0.307. What is the closest to -1 in -8/5, w, 2/15, -5?
-8/5
Suppose 0 = -2*k - 3*o - 87, -k = -7*o + 2*o + 11. Let f be (2/5)/(k/20). Which is the nearest to f? (a) 0.07 (b) 0.5 (c) 0.1
a
Let x = 0.81 - 5.81. What is the nearest to 0 in -2/9, x, 2/5?
-2/9
Let z be (-12*3/(-14))/(12/(-24)). What is the closest to z in 0.5, 1/9, 1/3?
1/9
Let d = -50 - -70. Let l = -15 + d. Suppose -3*g - 9 = 2*q, l*q = g - 3*g - 17. Which is the nearest to 2/5? (a) 1 (b) g (c) -2
a
Let w = -5.5 - -5.7. Let i = -49 - -48. What is the nearest to i in 4, w, -4?
w
Let n = -7601 - -7598. Let z(t) = -t - 2. Let l be z(-2). Suppose 5*i = -20 - l. Which is the closest to -1? (a) i (b) n (c) -3/2
c
Let q(b) = 2*b**2 - 16*b + 28. Let y be q(2). What is the closest to -6 in -0.1, -2/5, y?
-2/5
Let f be -1 + 2 + 95464670/1290. Let k = f - 74004. Let d = k - -2/43. Which is the nearest to -3? (a) 5 (b) 1/3 (c) d
b
Let h = 0.5 - 0.8. Suppose 0 = 2*o - 7*o - 15. Let n = -28.9 + 29. Which is the closest to n? (a) o (b) 0.3 (c) h
b
Let f = -361 + 365. Which is the nearest to 0? (a) 2 (b) f (c) 0.06
c
Let y = 62 - 72. Let j = y - -9.8. What is the nearest to j in -2, -4, -5?
-2
Let l = 0.02 - 0.42. Which is the closest to 3? (a) l (b) -2/49 (c) -1
b
Let s = 9 + -8. Let j = -145 - -148. What is the closest to s in 1, j, 5?
1
Let k = 1315 + -1325. Which is the nearest to -0.1? (a) 0.01 (b) 4 (c) k
a
Let h = -13.4 + 13. Let k = -0.05 - 0.95. Which is the nearest to k? (a) 2/11 (b) h (c) 2
b
Let l = -299 - -295. Let i = -2 + 1.7. Let g(u) = u + 4. Let r be g(-4). Which is the closest to r? (a) 5 (b) l (c) i
c
Let z = 112 - 112.17. Let p = 0.03 - z. Let j = 2.94 + 0.06. What is the closest to 1/3 in p, j, 4?
p
Let y = 23/108 - 7/540. Let j = 0.04 + -2.04. Let v = -2 + j. What is the closest to 2 in v, y, 3?
3
Let p = 93 + -89.26. Let q = p - -0.26. What is the closest to 1 in 0.4, -0.3, q?
0.4
Let z = 0.066 + -32.066. Let l = z + 34. What is the closest to l in 3, -2/11, -5?
3
Let d = -2.95 + -0.05. Let y = -950 + 949. Which is the closest to d? (a) 9 (b) y (c) 0.2
b
Suppose 9*n - 32 = n. Suppose k = -3*k - n. Which is the nearest to 0? (a) -5 (b) -0.5 (c) k
b
Let f = 511 + -513. Which is the closest to f? (a) -2/15 (b) -1/2 (c) 21 (d) -0.1
b
Suppose k - 4 = 0, 0 = -3*g + 4*k - 9 - 7. Let r = -181 - -186. Which is the closest to g? (a) 1 (b) 2 (c) r
a
Let g = 18.3 + -18.67. Let z = -0.02 + 0.05. Let m = g - z. Which is the nearest to -1? (a) 0.3 (b) m (c) 0
b
Let l(j) = -2*j + 3. Let o be l(2). Suppose 22 = -52*s - 30. Which is the nearest to o? (a) 5 (b) 2 (c) s
c
Let j = 78 - 17. Let d = -60.6 + j. What is the closest to -1/2 in 2, d, 1?
d
Suppose 2*i = -256 + 258. Let u = 2.3 - 2.2. Which is the closest to 1? (a) -7 (b) i (c) u
b
Let s = -643 - -646.99. Let z = -0.01 - s. Let r = -208 + 1459/7. What is the closest to 1 in r, z, -3?
r
Let v = -1085 - -1080. Which is the nearest to 0.2? (a) -84/11 (b) 0.3 (c) 3 (d) v
b
Let h(z) = z + 10. Let m be h(-7). Suppose 4*t + 6 = -3*u, 8*u - 3*u = -m*t - 10. Which is the nearest to t? (a) -0.5 (b) 1 (c) 2/3
a
Let k = -164 - -164. What is the nearest to k in 0, 4/9, 4?
0
Let g = 237 - 237.2. Let x = -1 - -1.4. Let f = x - 0.4. Which is the closest to g? (a) 1/3 (b) f (c) -2
b
Let o = 145 + -111. Let d = 34 - o. What is the closest to -0.1 in 1, d, -2/3?
d
Let m = 1.1 - -9.9. Let a = 35 - 46.1. Let b = m + a. What is the closest to b in -5, 4, 5?
4
Let f be 1*(0 + 1/3). Let y = -7.9 - -4.9. Let n be -3 + 0 + (1 - -1). Which is the nearest to 0.1? (a) f (b) y (c) n
a
Let x = 2.2 - 1.7. Suppose 3*i - 5 = -2*i. Let r = -2 + 5. Which is the nearest to i? (a) r (b) 0 (c) x
c
Let y = 9 + -7. Let n = 0.2 - y. Let j = 0.8 + n. Which is the nearest to -0.2? (a) -1/2 (b) -4 (c) j
a
Let z = 5.92 - 5.52. Which is the closest to -19? (a) z (b) -4 (c) -0.5
b
Let a = 19/2 + -53/6. Let m = 87.3 - 87. Let k be 3*(0 + -1 - 0). What is the closest to 0.2 in k, a, m?
m
Let m(k) = -119*k - 835. Let o be m(-7). What is the nearest to 0 in o, 73, -0.3?
-0.3
Let j = -0.212 - -0.112. Let y = -0.02 + 0.12. Which is the closest to j? (a) 2 (b) 8 (c) y
c
Let q be (-3 - -1 - -1)/((-74)/(-4)). Let o = -0.6 + 0.7. What is the nearest to o in q, -5, -0.5?
q
Let y be 5 - (-126)/(-24) - 81/(-4). Let p be (-55)/75 - (-1 + 12/y). Let m = 0.1 - 0.2. What is the nearest to m in 0.1, -4, p?
0.1
Let o be ((-6)/42 + 0)/((-2)/4). Let w = 147 - 1321/9. Which is the nearest to o? (a) 0.4 (b) w (c) -0.1
b
Let c = -54.302 + 54. Let y = c + 0.002. What is the closest to 0.1 in y, 7, -5?
y
Suppose -2*s = 13*s + 60. Which is the nearest to 2/19? (a) 7 (b) s (c) -0.5
c
Let o = 725.9 - 730.9. Let w = -3.1 + 3. What is the nearest to w in -1/2, o, 0?
0
Let n = -0.26 - 0.03. Let k = -1.29 - n. What is the closest to -1 in k, -0.2, 2/9?
k
Let p = -854 + 852. What is the nearest to p in -77, 0, 3/4?
0
Let v = 1803 - 1799. Let r = 2169/11 - 197. Which is the nearest to -0.1? (a) -3/4 (b) r (c) v
b
Let u be 3 - (12/10)/((-2)/(-5)). What is the nearest to -0.8 in u, 1/8, -0.5?
-0.5
Let z = 2 + -3. Let g be (-8)/(1 - -3) + 0. Let w be (-24)/18 + (-3)/g. Which is the closest to z? (a) 3 (b) w (c) -3
b
Let l(w) = -w + 12. Let j be l(10). Let m be (-270)/(-75) - j*2. Which is the nearest to m? (a) -1/4 (b) -5 (c) -4
a
Let f be -5*(-2 - (-28 - -3)). Let x be f/(-69)*(-1)/(-15). Let u be 2/(2 + -2 + 6). Which is the closest to -0.6? (a) -1/6 (b) u (c) x
a
Let d be 35/(-42)*3*16/(-100). What is the nearest to -2/9 in d, 3/4, 5/2?
d
Let a = 1443/4 + -5427/20. Let y = a + -89. Let p = 0.3 + -0.4. What is the nearest to y in 1/3, 3/4, p?
1/3
Let o(p) = p**2 + 11*p + 18. Let y be o(-8). Let z be y/(-42) + ((-62)/42 - -1). Which is the closest to -2? (a) z (b) -5 (c) -4
a
Suppose g + 2*s - 2 = -0, 0 = 3*g + s + 4. Let o = 63.55 - 63.57. Which is the closest to 0? (a) o (b) 1 (c) g
a
Let k = 0.969 + -1.269. What is the closest to 0 in 5, k, -0.075?
-0.075
Let r = 0.11 + 0. Let x = 0.028 - 0.638. Let n = x + r. Which is the nearest to 0? (a) n (b) 2 (c) 0.4
c
Suppose -8 = 5*d + 2, -3*c - 3*d = 12. Let x be c*(-2)/(-1 - 1). Let z = 1.5 + -1.4. What is the nearest to z in -2/7, x, 4?
-2/7
Let f = -812.7 + 813. What is the nearest to f in 0.1, 9, 0?
0.1
Let j(v) = v + 1. Let m(k) = -k**2 + 20*k + 41. Let d be m(22). Let p be j(d). Let t = 163/15 + -32/3. Which is the nearest to p? (a) -2 (b) 2/9 (c) t
a
Let g = 22 - 22.21. Let f = g - 0.09. Let d = -2.6 - -1.6. Which is the closest to d? (a) 1 (b) f (c) -4/9
c
Let o = -2/23 + -15/92. Let y(f) = -f**3 - 69*f**2 + 144*f + 140. Let q be y(-71). Which is the nearest to 1? (a) q (b) -0.4 (c) o
c
Let r be 10/15 + 2 + -2. Let i be ((-2)/4)/(2/(-4)). Let f be 2/(-8) - i/4. Which is the closest to 1? (a) 4 (b) f (c) r
c
Let h = 17.13 + -17. Let c = 0.23 - h. What is the nearest to c in -1, 2, -0.3?
-0.3
Let c = -212 - -847/4. What is the closest to 2 in 0, 3/2, c?
3/2
Let a = -394 + 280. Let r = 110 + a. What is the closest to -0.1 in r, 0.4, -0.3?
-0.3
Let q(l) = -35*l + 69. Let r be q(2). What is the closest to -0.3 in -0.029, r, -3?
-0.029
Let k = 94 + -150. Let x = -53 - k. What is the closest to -2/3 in -1, -2/5, x?
-2/5
Suppose -5*i = 5*k + 3 + 7, 3*k - i = 14. Which is the closest to 3/13? | {
"pile_set_name": "DM Mathematics"
} |
respect to v.
432091*p*s**2 - 3*p*t**3
What is the second derivative of 414*v**3 - 42359*v**2 + 1014571*v - 23 wrt v?
2484*v - 84718
What is the second derivative of -10*c**4 - 1800*c**3 + 5*c**2 + 56630929*c wrt c?
-120*c**2 - 10800*c + 10
Find the third derivative of 162557135*b**3 - 15*b**2 + 1642*b - 44 wrt b.
975342810
Differentiate -g*l**4 + 17051635*g - 2504410*l**4 with respect to l.
-4*g*l**3 - 10017640*l**3
Find the second derivative of 58375380*n**3*w + n + 9266842*w - 1 wrt n.
350252280*n*w
Find the third derivative of 7643*b**3*h**3*u**3 - 5*b**3*h**2*q + 3*b**3*u - 321*b*h**3*q + 363*b*h**2*q*u - 46*b*u**3 + q wrt h.
45858*b**3*u**3 - 1926*b*q
Find the first derivative of 402565*x**4 + 173*x + 525000676.
1610260*x**3 + 173
Find the second derivative of 839366878*s**2 - 514669792*s.
1678733756
What is the second derivative of -21345*b*i**2 + 3*b*i + 966*b - 22*i**2*v - i*v - 2*i + v + 3 wrt i?
-42690*b - 44*v
Find the third derivative of -14368*a**5 + 274*a**3*k**2 - a**3 - 438*a**2*k**2 - 539*a*k**2 + a*k + k**2 - 2*k wrt a.
-862080*a**2 + 1644*k**2 - 6
What is the derivative of -2*a**4 - 3767574*a - 15152881 wrt a?
-8*a**3 - 3767574
What is the derivative of -4012*f**3 - 115*f + 31911648 wrt f?
-12036*f**2 - 115
Find the third derivative of -8724646*j**4*z**3 - j**3*z - 2*j**3 + 60*j**2 + 5*j*z**3 - 2*j*z**2 - 299*z**3 - 23 wrt j.
-209391504*j*z**3 - 6*z - 12
What is the derivative of -551287*p**2 - 256*p + 294947561 wrt p?
-1102574*p - 256
Find the second derivative of -8684800*d**2 + 21765229*d.
-17369600
What is the third derivative of -18*h**3*k**3 + 18*h**3*k - 60534*h**3 + 21*h**2*k**2 + 148341*k**3 wrt h?
-108*k**3 + 108*k - 363204
What is the third derivative of 4*l*n**5 + 1125*l*n**2 - 425*l*n - 6*l + 2800996*n**5 - 2*n**2 - n wrt n?
240*l*n**2 + 168059760*n**2
What is the second derivative of -38158*g**4 + 305*g**2 - 114110371*g wrt g?
-457896*g**2 + 610
What is the second derivative of -5510*b**3*j + 783*b**3 + 2*b**2 + 20*b*j - 1056404*j wrt b?
-33060*b*j + 4698*b + 4
Differentiate 2*g**4 - g**3 + 4636*g**2 - 268*g - 1610303 with respect to g.
8*g**3 - 3*g**2 + 9272*g - 268
What is the second derivative of 11*p**5 - 38721*p**4 + 1089*p - 279?
220*p**3 - 464652*p**2
Find the second derivative of 5536317*w**3*z**2 + 31*w**3*z - 562858*w**3 wrt z.
11072634*w**3
Find the second derivative of 5*d**3*x**2*z**2 - d**3*x**2 - 98207*d**2*x - 2*d*x*z - d*x - 112075*x**3*z**2 - x**3 wrt z.
10*d**3*x**2 - 224150*x**3
What is the third derivative of 634*y**6 + 8787*y**4 - 95*y**2 + 3008091*y?
76080*y**3 + 210888*y
Find the first derivative of 52*b**2*k**2 + 960429691*b**2 + 2433571*b*k**2 wrt k.
104*b**2*k + 4867142*b*k
What is the derivative of -21282668*x**3 + 25313718 wrt x?
-63848004*x**2
Differentiate -223465455*k**2 - 1471185724 wrt k.
-446930910*k
What is the third derivative of 6*b**4 - 3044270*b**3 + 1126333*b**2 - 4 wrt b?
144*b - 18265620
Differentiate 49605*u**3 + 38*u**2 - 14403739 wrt u.
148815*u**2 + 76*u
Find the first derivative of 372557650*s - 202647992 wrt s.
372557650
Differentiate -11324992*k*q + 30733583*k with respect to q.
-11324992*k
Find the third derivative of 49595254*k**3 + 74328747*k**2.
297571524
Differentiate -25632*f**3 - f**2 - 114*f - 12755980 wrt f.
-76896*f**2 - 2*f - 114
Find the first derivative of 37400*a*y**2 - 1010*a*y - a - 456013*y**2 - 171*y wrt a.
37400*y**2 - 1010*y - 1
Find the first derivative of 151348855*m - 265082690 wrt m.
151348855
Differentiate 4390*p**4 + p**2 - 30*p - 52695378 wrt p.
17560*p**3 + 2*p - 30
Find the first derivative of 194351938*v + 135835997 wrt v.
194351938
Find the second derivative of -156554358*q**3 + 132571834*q + 4.
-939326148*q
Find the second derivative of 4854*q**2*s + 3*q**2 + 6631*q*s - 69*s wrt q.
9708*s + 6
Find the third derivative of 11170273*f**3 + 57*f**2 + 4*f + 3498 wrt f.
67021638
Find the second derivative of 20286563*v**2 - v + 28387953.
40573126
Find the second derivative of 5348803*u**5 + 1275582*u wrt u.
106976060*u**3
Find the first derivative of 8851724*d - 30810657.
8851724
Differentiate -147175*h**2 + 3*h*u - 415722*u with respect to h.
-294350*h + 3*u
Find the second derivative of -49316241*m**2 + 33661337*m.
-98632482
Differentiate -175*v**3*x - 14*v**3 + 18257*v**2*x - 5*v**2 - 270*v + 4 wrt x.
-175*v**3 + 18257*v**2
Differentiate -10*u**2 - 10999*u - 5767611 with respect to u.
-20*u - 10999
Find the first derivative of -442494031*j - 169464275.
-442494031
What is the second derivative of -126291*d**4*n + 48*d**3*n**2 - 510294*d*n**2 + 138*d wrt d?
-1515492*d**2*n + 288*d*n**2
What is the second derivative of 1665262*t**4 + 3*t**3 + 239643938*t wrt t?
19983144*t**2 + 18*t
Find the third derivative of 223844805*l**3 - 393399*l**2 - 23*l.
1343068830
Differentiate 3402*l**2*y - 609054*l**2 + 280*y - 6 wrt y.
3402*l**2 + 280
Find the second derivative of -6153903*q**3 + 7841600*q wrt q.
-36923418*q
What is the derivative of 1386014*g**2 + 38*g + 6149555?
2772028*g + 38
What is the second derivative of 26*l**4 - 1313853*l**3 + 74031472*l?
312*l**2 - 7883118*l
What is the derivative of -k**3 + 45*k**2 + 54666*k + 17092032?
-3*k**2 + 90*k + 54666
Find the third derivative of -308366961*i**2*q**3 - 1114*i**2 + 2*i*q**4 - 6734*i*q**2 - 8 wrt q.
-1850201766*i**2 + 48*i*q
Find the first derivative of -2*a**3*j**2 + a**3 - 2*a**2 + 10*a*j**4 - 76789*a + 15943*j - 5 wrt j.
-4*a**3*j + 40*a*j**3 + 15943
Find the third derivative of -278347*h**3*y**3*z + 3*h**3*y + 20*h**2*y**2*z - h*y**3 + 57*y*z - 869*z wrt h.
-1670082*y**3*z + 18*y
Find the first derivative of -3*b**3*g - 2265480*b**3 - 3123877*b*g + 2*g wrt g.
-3*b**3 - 3123877*b + 2
What is the first derivative of -16*h**3*z - 1763855*h*z - 1543530*z - 28 wrt h?
-48*h**2*z - 1763855*z
What is the derivative of 17316863*r**3 + 58382763?
51950589*r**2
What is the second derivative of -834545*l**5 - l**3*r + 2*l*r - 107*l + 9*r + 108 wrt l?
-16690900*l**3 - 6*l*r
What is the first derivative of 2592*o*x**3 + 1150434*o + 1685*x**3 wrt x?
7776*o*x**2 + 5055*x**2
Find the third derivative of -656*f**2*k**5 - 6185*f**2*k**3 + 3*f**2*k**2 - 528336*f**2*k - f**2 wrt k.
-39360*f**2*k**2 - 37110*f**2
What is the first derivative of -6529485*d**4 - d**2 + d - 16550756?
-26117940*d**3 - 2*d + 1
What is the second derivative of 6996591*c**5 - 7*c**4 + 113128674*c?
139931820*c**3 - 84*c**2
What is the third derivative of 2*a**4*s + 10*a**3*s + 430438*a**3 + 2*a**2*s + a*s - 76967*s wrt a?
48*a*s + 60*s + 2582628
Find the second derivative of -59829088*s**2 + 6812108*s wrt s.
-119658176
What is the second derivative of -4*w**4*z**3 - 5608351*w**4 + 388828606*w*z**3 wrt w?
-48*w**2*z**3 - 67300212*w**2
What is the second derivative of -2*j**4 + 49875*j**3 + 18*j**2 - 540*j + 2863 wrt j?
-24*j**2 + 299250*j + 36
Find the first derivative of -57957841*r**3 - 84406467.
-173873523*r**2
What is the derivative of -47880356*d - 13359655?
-47880356
Find the first derivative of 24414578*n**3 + 9657332 wrt n.
73243734*n**2
What is the second derivative of 4*f**2*z**2 - 2*f**2*z + 1091798*f**2 - 15*f*z**2 + 15*f - 200*z wrt f?
8*z**2 - 4*z + 2183596
What is the third derivative of 1069*r**4 - 737*r**3 + 11235340*r**2?
25656*r - 4422
Find the third derivative of -15170871*z**5 + 36208*z**2 + 128 wrt z.
-910252260*z**2
What is the second derivative of 4*r**4 - 9908919*r**3 + 688713733*r?
48*r**2 - 59453514*r
What is the first derivative of 2746082*p - 12853041?
2746082
Find the second derivative of -3135240*l**5 + 9916*l + 17.
-62704800*l**3
Differentiate -5553*i*l**3*o - 569*i*l*o**2 + 2*l**3*o - 60735978*l**2*o**2 wrt i.
-5553*l**3*o - 569*l*o**2
What is the second derivative of 232*a*m**2 - 550559*a*m + 114*m**5 + 28*m**2 - 7*m wrt m?
464*a + 2280*m**3 + 56
What is the third derivative of 296744*v**4 - 32*v**3 + 60394686*v**2?
7121856*v - 192
Differentiate 2301339*q - 2770238 wrt q.
2301339
What is the derivative of -45318875*u**2 + 47695290 wrt u?
-90637750*u
Find the second derivative of -34796848*w**2 + 33533106*w.
-69593696
What is the derivative of k**3 - 6*k**2 + 178090*k + 22341072 wrt k?
3*k**2 - 12*k + 178090
What is the second derivative of -18*w**4 - 311128*w**2 - 4156742*w?
-216*w**2 - 622256
Fi | {
"pile_set_name": "DM Mathematics"
} |
ve 130*t - 28 = 2*b + 125*t, 376 = -96*b - 2*t for b.
-4
Solve -57*f + 55*f - 63 = -5*t, -3*t = 5*f - 13 for f.
-4
Solve 0 = 2*i + r + 10, 5*i - 3*r - 961 = -997 for i.
-6
Solve -62*m - 340 + 87 = -x, 3 = -x - 2*m for x.
5
Solve 4 = -2*r + 3*r - 2*z, -2*z = 5*r + 16 for r.
-2
Solve 0 = 3*s - 3, -5*v - 92 = s - 113 for v.
4
Solve 3*p + 104 = 2*j + 99, 2*j = 2*p + 6 for j.
4
Solve -2*t - 2*z = 16 + 6, 27*t = 4*z - 80 for t.
-4
Solve 0 = o - h + 10, 0 = 5*o + 626*h - 622*h - 31 for o.
-1
Solve 0 = -2*l + 3*p - 6, -185*p = -4*l - 187*p - 28 for l.
-6
Solve -34 + 43 = 3*a - s, -4 = -4*a + 4*s for a.
4
Solve 5*k + 12 = -4*i - 29, 9 = -5*k + 4*k - i for k.
-5
Solve 4*i + 157 = -2*w + 141, 5*w - 5*i - 20 = 0 for w.
0
Solve -2*s = 4*v - 6, -3*v + 344*s - 345*s = -2 for v.
-1
Solve 2*k + 3*f = 36, 894*k - 891*k + 60 = 5*f for k.
0
Solve -s - 4 = -2*y, 4*s - 10 = -3*y + 7 for y.
3
Solve 38*y + 4*t - 16 = 43*y, 4*t = 9*y + 16 for y.
0
Solve -z = -5*y + 19, -901*y = -897*y - 5*z - 11 for y.
4
Solve 3*f + 76 = 70, -4*k + 4*f + 17 = -7*k for k.
-3
Solve 142*f - 147*f - 30 = 0, -4*b - 4*f = 24 for b.
0
Solve -35 = 4*a - 138*l + 133*l, -3*a + 2*l - 21 = 0 for a.
-5
Solve 66*h - 67*h = -3, 0 = 2*n + 3*h + 3 for n.
-6
Solve 4*q - 21 = 3*l, 3*l - 36*q = -3*q - 282 for l.
5
Solve 50*o + 17 = 3*y + 45*o, y = -3*o + 1 for y.
4
Solve -3*k = -3*v, 61 = -4*k + 5*v + 57 for k.
4
Solve 80*k - 82*k - c + 59 = 0, -k = 2*c - 31 for k.
29
Solve -4*f + 2*f = -2, 8*m + 9*m + 4*f = 21*m for m.
1
Solve -4*n = -4*a + 4, 2*n - 2*a = 3*a - 14 for n.
3
Solve o + 169 - 139 = 5*r, -108 = -16*o - 4*r for o.
5
Solve -15*a - 19*a = -s - 105, 4*s + 18 = 2*a for a.
3
Solve 5*v + 6*h = 10*h, v - 9*h + 41 = 0 for v.
4
Solve 2*d - 9*t - 95581 + 95611 = 0, t + 28 = -5*d for d.
-6
Solve -t - 5 = -3*a - 4, 38 = -4*t - 5*a for t.
-7
Solve -7 = -3*y - 2*o, 35431 = -2*y + 4*o + 35409 for y.
-1
Solve 3*y = 3*j, -898*j = -894*j - 16 for y.
4
Solve -9*j - 34 = -3*z - 4*j, 25*z - 2*z - 4*j - 89 = 0 for z.
3
Solve -239*j + d = -241*j - 27, 5*j + 2*d = -66 for j.
-12
Solve -5 = n + 3*f, 3*n + f - 145 = -136 for n.
4
Solve -18 = 2*b + 2*n, -5*b - 9 = 37188*n - 37192*n for b.
-5
Solve -q + r - 3 = 0, -232*q + 237*q + 3*r - 17 = 0 for q.
1
Solve 0 = -2*h - s + 28, 5*s - 4 - 15 - 81 = 0 for h.
4
Solve 3*l + 910 = -3*w + 931, -5*l + 20 = 2*w for l.
2
Solve -3*h = -24*x + 25*x - 17, 9*x = 2*h - 50 for h.
7
Solve -r - 2096 = 2*c - 2100, -5*r + 5*c - 25 = 0 for r.
-2
Solve -16 = 4*s + 4*v, 5*v - 117 + 130 = 2*s for s.
-1
Solve 3102*z + 6 = 3100*z - 2*l, 3*z - 39 = 3*l for z.
5
Solve 98*f + s + 68 = 74*f, 4*f + 28 = 4*s for f.
-3
Solve -8*n + 4*n + 20 = 0, -440*x - 89 = -441*x - 18*n for x.
-1
Solve v + 299 - 320 = 5*z, 5*v = 3*z + 17 for z.
-4
Solve -6*r = -2*r + 12, -24 = -4*j + 4*r for j.
3
Solve 3*x - 6*h - 12 = 0, -663*x + 667*x + 2*h = -34 for x.
-6
Solve -34 = -2*b + 3*l, -9*l + 4*l = -4*b + 64 for b.
11
Solve 1226*u - 5 = 1225*u - 3*r, -2 = -4*u + 6*r for u.
2
Solve 2*a = 4*i + 30, 117*i - 21 = -3*a + 119*i for a.
3
Solve -4*a = 3*c - 5, 2*a - 384*c = -390*c - 2 for a.
2
Solve 1108 = 3*a + 2*y + 1110, 2*a + 5*y + 5 = 0 for a.
0
Solve -2*i = -5*a + 1, -5*a - 96*i = -94*i + 11 for a.
-1
Solve -97*a + 91*a = b - 7, -5*b = -a + 27 for b.
-5
Solve 3*y - o = -5, 3*y - 273*o = -2*y - 263*o for y.
-2
Solve -51*x + 47*x + 4*q + 33 = 1, 25 = -5*q for x.
3
Solve -y + 15 = 3*u + 44, -34 = 4*u - y for u.
-9
Solve 30 - 20 = -5*b - j, b + 2 = 4*j for b.
-2
Solve a - 4*t + 29 - 46 = 0, -a + 22 = -5*t for a.
-3
Solve -12*c + 17*c = -28*x + 30*x - 88, -x - 1 = 0 for c.
-18
Solve 0 = 4*u - 2*o + 16, -4*u - 3*o - 97 = -101 for u.
-2
Solve 0 = 3*n + 5*x + 15, 15 = 46*n - 49*n + x for n.
-5
Solve n = -r - 7, -n - 4*r = 743 - 721 for n.
-2
Solve -2024*y + 2*c - 14 = -2022*y, 5*c - 25 = 0 for y.
-2
Solve 4*r = 12, -15*r + 12 = -6*k + 10*r + 13*r - 36*r for k.
-1
Solve 8*j + 77 = -r, 3*j = -4*r - 122 + 104 for j.
-10
Solve i - 2*n = 9, 4*i + 15*n - 12 = 11*n for i.
5
Solve -j = 1830*z - 1828*z + 7, 2*j - 9*z - 51 = 0 for j.
3
Solve -68*w - 6 = 2*i - 71*w, -3*i = 23*w - 101 for i.
3
Solve u - 21 = 5*o, -3*u + 903 - 890 = -5*o for o.
-5
Solve 5*n = -l - 14, -5*n - 703 + 713 = 5*l for l.
6
Solve -2*n + 3*u - 5 = 0, 26*n - 22*n - 5*u = -9 for n.
-1
Solve p + 8 = 4*a, p = 140*a + p - 4*p - 652 for a.
5
Solve 0 = -6*n + 7*j - 9, 36*j - 17 = n + 40*j for n.
-5
Solve -38 = -140*a + 133*a + j, -3*j - 9 = 0 for a.
5
Solve g + 11 = -2*m, 183*g + 16 = -2*m + 181*g for m.
-3
Solve 6*x - 138 = m, 4*m + 114*x - 111*x = 69 for m.
0
Solve -13*z + 0*b = -9*z - b + 5*b, -z = -3*b for z.
0
Solve -x - 3*v + 13 = 0, 34*v - 38*v = -16*x - 52 for x.
-2
Solve -15*t - 5*y = -19*t - 29, 0 = -t - 4*y + 40 for t.
4
Solve -3*m + 86 - 94 = -5*h, 4*m - 25 - 11 = -5*h for m.
4
Solve -49*c + 52*c - 6*r - 21 = 0, 4*c + 5*r = 93 for c.
17
Solve -4*z + 3*y - 24 + 33 = 0, -y = 3 for z.
0
Solve 6*c + 3*g = 31559 - 31604, 0 = 3*c - 4*g + 39 for c.
-9
Solve -21*w = -25*w - 5*d + 11, -5*d = -5*w - 20 for w.
-1
Solve 95 - 107 = -c + h, 2*c - 5*h - 33 = 0 for c.
9
Solve 3*d = -2*m - 62 + 72, 5*d - 20 = -4*m for d.
0
Solve -2*f + 9 = -5*m, -5*f + 29*m - 33*m = -39 for f.
7
Solve -3*m + 0*m + 7 = -g, -4*g = 3*m - 17 for m.
3
Solve -5*z - 3*g - 4 = 0, 218*z - 214*z = -5*g + 15 for z.
-5
Solve -321*d - 3*b - 20 = -326*d, 0 = 2*d - 2*b - 12 for d.
1
Solve 0 = 2*t + 8110*d - 8107*d - 12, -4*t = -4*d + 16 for t.
0
Solve -2*q - 4 = 2*y, -5*q + 36*y - 10 = 38*y for q.
-2
Solve -128*p + 131*p = -2*o + 33, -22*o + 447 = 5*p for o.
21
Solve -14 = -2*s + 2*q, -4*s - 4*q = -7*q - 25 for s.
4
Solve -3*s + 0*s + 3*v = 12, 2*v + 24 = 15*s + 136 for s.
-8
Solve 2*c - 16 = -14*f, -3*c = f + 144 - 68 for c.
-27
Solve -15*l - 57 = -19*l - g, -3*g - 25 = -2*l for l.
14
Solve 5*p - 4 = -1340*a + 1338*a, 0 = 205*a - 3*p - 410 for a.
2
Solve 5*k = m - 2670 + 2632, 0 = -5*k + 4*m - 47 for k.
-7
Solve 5*a - 4*y + y = 0, 12*a - 11*a = 13*y for a.
0
Solve 0 = -2*r - g + 38, -25*g - 26 = -4*r - 4 for r.
18
Solve 4*s + p + 10 = 2, -4*s - 4*p = 20 for s.
-1
Solve -3*g + 16 = y, 4*g - 38*y = -35*y + 43 for g.
7
Solve 2*j + 6 = -6*m, -5*m - 5*j - 129 + 64 = 0 for m.
5
Solve 12*x + 3*q = 53 + 43, -3*x + 17 = -q for x.
7
Solve 126 = -l - j + 120, -3*j + 6 = -5*l for l.
-3
Solve -60 = 12*h - 4*h - 5*h, 0 = -2*x - 4*h - 70 for x.
5
Solve 12*h + r + 27 - 3 = 0, 2*h - 5*r + 314 = 310 for h.
-2
Solve 7*o - 102*a + 5 = -105*a, 5*a = -4*o - 16 for o.
1
Solve -40 = 7*a - 54, 2*c + 4 = a for c.
-1
Solve -x + 2*g = 0, -g + 5737 = -x + 5739 for x.
4
Solve 16 = 3*a + n, 16 = 2*a - 2765*n + 2767*n for a.
4
Solve 3*c + 5 = l + 13, 0 = -5*c + 15 for l.
1
Solve 2 = 54576*t - 54578*t + 2*x, -2*t + x = 0 for t.
1
Solve 5*x + 57*k - 1 = 56*k, 9*k = 2*x - 38 for x.
1
Solve 2*u = -3*t + 5368 - 5408, -t - 15 = -u for u.
1
Solve -4*m - k = -39, 5*k + 30 = -99*m + 104*m for m.
9
Solve 71*t + 33 = 68*t - 3*y, -3*t - 19 = 2*y for t.
3
Solve 3*w + 105*i = 102*i, -w + 2*i + 9 = 0 for w.
3
Solve -2144*o = -2152*o + 4*y - 236, 3*o + 92 = 5*y for o.
-29
Solve 0 = -5*r - y + 37, 3*r - 3730 = -y - 3703 for r.
5
Solve -4*m + p + 2*p + 23 = -11*m, 3*p = -9 for m.
-2
Solve 5*d = -4*f + 27, -31*d - 12 = -31*d + 6*f for d.
7
Solve 0 = 3*f + 3*x - 6, -8*f + 2*f - 2*x = -16 for f.
3
Solve 61 = r + 13*f, -4*r = -r + f - 5*f + 32 for r.
-4
Solve 0 = 2*a + 10, -136*z + 141*z + 65*a - 45 = -355 for z.
3
Solve o + 24 = 94*v - 90*v, 5*o + 30 = 2*v for v.
5
Solve 2*o - 382 = 10*s - 330, 0*s = -s - 5*o + 52 for s.
-3
Solve -2*y + 50 = -2*d, 3609*y - 5*d = 3612*y - 35 for y.
20
Solve -2*t - 5*h + 53 = 112, -3*t + 4*h = -61 for t.
3
Solve -1267*h + 1246*h - n - 101 = 0, 3*h + 31 = 4*n for h.
-5
Solve 0 = -m - 2*a + 28, -88*m = -83*m + 2*a - 20 for m.
-2
Solve 13*c - 54 = 22*c, -a - 2*c - 12 = 0 for a.
0
Solve g - 6 = -5*u, -1703*g + 1702*g = 2*u for u.
2
Solve -36 = -5*q - 2*r, 30*q + 4*r = 32*q + 24 for q.
4
Solve 3*s = n + 6, 5*n - 6 - 4 = -5*s for n.
0
Solve d + 46 - 11 = -5*j, -j - 7 = -3*d for j.
-7
Solve -12*d + 11*d - 2*p = 1, 9*d + 5*p = 17 for d.
3
Solve n = -320*u + 318*u + 1, -2*n - 4 = -2*u for n.
-1
Solve 914*g + 3*w + 45 = 909*g, 0 = -3*w - 45 for g.
0
Solve 4*q = -3*p - 3, -425*q = p - 423*q + 3 for p.
3
Solve 2*m + 2*l = -6, -2*m - l - | {
"pile_set_name": "DM Mathematics"
} |
the tens digit of a?
1
Let n(j) = -164*j + 53. What is the hundreds digit of n(-23)?
8
Let t(y) = y**2 + 4*y + 3. Let i be t(-6). Let v(o) = o**3 - 15*o**2 + 6. Let c be v(i). Let w(j) = -j**2 + 6*j + 10. What is the units digit of w(c)?
0
Let u = -28 + 6. Let n = 12 + u. Let r(a) = -5*a - 11. What is the units digit of r(n)?
9
Suppose -3*u - 2*u - 100 = 0. Let j be 4*(1 + -2 - 5/4). What is the tens digit of (j + -1)/(4/u)?
5
What is the units digit of ((2569/14)/(-1))/(1/(-2))?
7
Suppose 20*o - 3600 = 18920. What is the thousands digit of o?
1
Let g = -22 - -27. Suppose 0 = -g*d - 3*p + 210 + 99, 132 = 2*d - 3*p. What is the tens digit of d?
6
What is the hundreds digit of (424/(-16))/((-3)/54)?
4
Suppose -2*r + 0*r + 42 = 0. Suppose 4*c - r = 15. What is the units digit of c?
9
Suppose v = j + 38, -v + 5*j + 43 = -3. Let n be (44/6)/(12/v). What is the tens digit of 1*-31*n/(-11)?
6
Suppose 5*l = -2*q + 1017, q = -7*l + 10*l + 525. What is the hundreds digit of q?
5
Let l(o) = 18*o**2 + o - 23. What is the hundreds digit of l(-11)?
1
Let v = -23 - -44. Let z = v + -11. What is the units digit of z?
0
Suppose -15*v + 3*l = -16*v + 688, -2056 = -3*v - 5*l. What is the tens digit of v?
8
Suppose 5*p = w + 4594 + 828, p - 2*w = 1079. What is the units digit of p?
5
Let w(r) = -r**3 - 17*r**2 - 21*r + 19. Let y be (-100)/6 + 32/48. What is the tens digit of w(y)?
9
Let n(g) = g**3 + 26*g**2 + 8*g + 58. What is the hundreds digit of n(-25)?
4
Let b be 36/(-10) - (-18)/(-45). Let v be (3 + b)/(3/(-27)). Suppose -2*r + v = r. What is the units digit of r?
3
Let i(h) = 94*h. Let n be i(2). Suppose 5*t + n = 63. What is the units digit of 6/10 + (-660)/t?
7
Let w be 4 + -3 + 1 + 1. Suppose 4*l - 220 = 3*l + 2*h, -5*h = -w*l + 658. What is the units digit of l?
6
Suppose -5*s = -2*s - 12. Let x be (4 + -12)*2/s. What is the units digit of -3 - x - (-4 - 25)?
0
Let w(o) = o - 23. Let a be w(11). Let v(u) = -3*u + 10. What is the units digit of v(a)?
6
Let w be 3032/4 - (0 - -2). Suppose 8*l = 2*l + w. What is the hundreds digit of l?
1
Let x = -101 - -144. Suppose 0 = 2*r - 79 - x. What is the tens digit of r?
6
Let s(f) be the first derivative of 45*f**2/2 + 10. What is the units digit of s(1)?
5
Let v(x) = x + 4. Let w be (-2 - 0)/(3/(-6)). Suppose 18 = -h + w*h. What is the units digit of v(h)?
0
Suppose m + 138 = 3*m. Let c = m + -20. Suppose -2*b - 9 = -c. What is the tens digit of b?
2
Let f be -2 - (3 + -3)/(-1). What is the tens digit of f/11 + (-1722)/(-33)?
5
Suppose -198 + 62 = -4*t. Suppose -t = -3*w + 5*p, 0*w + 3*p = -4*w + 55. Let g = 27 - w. What is the tens digit of g?
1
Let p be (-6)/((4/6)/(-1)). Suppose 11*o = p*o + 222. What is the units digit of o?
1
Let w(b) = 2186*b**2 + 8*b + 8. What is the units digit of w(-1)?
6
Let d be 58/(-4)*7/7*-30. Suppose -4*q = -0*q + 2*f - 348, 0 = 5*q - f - d. What is the tens digit of q?
8
What is the hundreds digit of -1*(-5 + -341 + -5)?
3
Suppose -5*p - 2*v = -6*p + 2092, 5*p - 10404 = -4*v. What is the thousands digit of p?
2
Let c(h) = 13 - 3 + 3*h + 10 - 5. What is the units digit of c(13)?
4
Let c be -1*(0 + (9 - 1)). What is the tens digit of 12/c*1*-22?
3
Let s(t) = 37*t + 25. Let i be s(-11). What is the hundreds digit of (i/6)/((-7)/21)?
1
Let p be -6*(0 + (-6)/9). Suppose p*y = 3 + 1, -392 = -4*c - 4*y. What is the tens digit of c?
9
Suppose 3 = m + 2*v, -2*m + 2 = 2*v + 6. Let q(c) = 2*c**2 + 2*c + 44. What is the hundreds digit of q(m)?
1
Let b(r) = 18*r**2 - 140*r - 16. What is the thousands digit of b(14)?
1
Let r = 53 + 3. Suppose -100 = 5*b + 2*d, 3*b + d + d + r = 0. Let o = -9 - b. What is the units digit of o?
3
Let s = 530 - 794. What is the tens digit of ((-3)/(-2))/((-9)/s)?
4
Suppose -161*s + 171*s = 17350. What is the hundreds digit of s?
7
Let b = 154 + 352. What is the units digit of b?
6
Suppose -60175 = 57*y - 239725. What is the tens digit of y?
5
Suppose 0 = -2*l + 7*l. Let q(a) be the second derivative of -a**4/12 + 10*a**2 - 7*a. What is the units digit of q(l)?
0
Let i(c) = c**3 + 5*c**2 - 8*c - 8. Let m be i(-6). Let q = m + -4. Let y(p) = -p + 63. What is the units digit of y(q)?
3
Let n(j) = 8*j**2 + 2*j - 1. Let b be (9/(-12))/(2/(-8)). Let z be n(b). Let x = 109 - z. What is the units digit of x?
2
Let q(r) = r**3 - 19*r**2 - 26*r + 28. Let y be q(21). Suppose 0 = 7*f - 14*f + y. What is the units digit of f?
2
Let y be (-4 - -2) + -2 + 36. Let q = 14 - 5. Suppose 7*u + y = q*u. What is the units digit of u?
6
Let f(n) = -n**2 + n + 4. Let y be f(0). Let g be 8/((-21)/6 + y). Let u = 45 - g. What is the tens digit of u?
2
Let a be 545*(12/(-5) + 3). Let x be 2/(-10) - a/15. Let c = 37 + x. What is the tens digit of c?
1
Let m(t) = 102*t**2 + 3*t - 18. What is the thousands digit of m(-4)?
1
Let x(y) = 34*y**2 + 2*y - 1. Let p be (-1 + 17)*1/(-2). Let m = 9 + p. What is the tens digit of x(m)?
3
What is the hundreds digit of (-8)/(-80) + (-10738)/(-20)?
5
Let l be ((-12)/(-16))/((-2)/(-32)). Suppose 8 = 2*o - 2*g, 0 = 4*o - 3*o + 4*g + 1. Suppose -l = -x - o*x. What is the units digit of x?
3
Let h = -70 + 292. What is the tens digit of h?
2
Suppose -2*u - 8 = d, -7*d = 4*u - 3*d + 16. What is the hundreds digit of 153 + 44/33*6/u?
1
Suppose 3*p + h - 5281 = 0, -3*p + h + 4473 = -800. What is the thousands digit of p?
1
Suppose l - 1 = 2*l. What is the units digit of 88/(-5)*l - 16/(-40)?
8
Let r = -129 + 57. Let s = 1 - r. What is the units digit of s?
3
Suppose -c = -2*j - 6*c + 31, 4*c - 20 = 0. Suppose 4*n = j*y - 520, -3*y - 268 = -3*n - 790. What is the hundreds digit of y?
1
What is the tens digit of 4*-1934*(-8)/64?
6
Suppose -n - 5 = 12. Let t = n + 6. Let o = 37 + t. What is the tens digit of o?
2
Let c be (3 + 0 + -1)*(0 + 3). What is the units digit of (-3)/c - (-990)/12?
2
Let j(x) = x**3 - 2*x**2 - x + 118. Let v be j(0). Let h = 203 - v. What is the units digit of h?
5
Suppose 14*q = -1441 + 8665. What is the hundreds digit of q?
5
Let n be (3/(-2))/((-3)/1818). Suppose 3*m - n = -6*m. What is the units digit of m?
1
Let y = -20 + 25. Suppose 0 = y*m + m - 24. What is the units digit of (-9)/(-6) + 294/m?
5
Suppose -4*b = -5*x + 253 + 568, -2*x + 4*b + 326 = 0. What is the tens digit of x?
6
Suppose 182 = 5*w + 2*c, -4*w + c + 31 + 125 = 0. Suppose a - 6 = w. What is the tens digit of a?
4
What is the units digit of 24/(-16) + 125/2?
1
Let t = -7 + 10. Suppose -144 = -2*b - 2*d - 2*d, t*b + 3*d = 207. Suppose 2*v - 40 - b = -5*r, 0 = r - 5*v - 5. What is the units digit of r?
0
Suppose 13 + 59 = 4*s. Let l be -2 + s/(-1)*1. Let n = l + 38. What is the units digit of n?
8
Let v = -890 + 1467. What is the hundreds digit of v?
5
Suppose -5*h + 8 = 2*f - 4*f, -3*h - 3*f = -9. Let y(l) = 11*l - 2. Let n be y(h). Suppose 5*i - 60 = n. What is the tens digit of i?
1
What is the units digit of 900 + 4*(-21)/28?
7
Suppose -4*y - 3*f = 1, 0 = 4*y + 3*f + 2*f + 7. Suppose 9 = -y*n - 13. Let z = n + 28. What is the tens digit of z?
1
Suppose 5*t + 3*n = 10*t - 718, -t = -n - 144. What is the tens digit of t?
4
Let k(b) = 13*b**2 + 9*b - 104. What is the hundreds digit of k(-13)?
9
Let g be 6/12*(30 + 0). What is the units digit of (430/(-25))/((-6)/g)?
3
Suppose 2*d - 3*d + 1 = 0. What is the units digit of 3/(-3) + d + -2 + 130?
8
Suppose 0 = -10*w - 5*w. Suppose -4*c = -2*r - w*r + 68, 0 = r + 5*c - 13. What is the units digit of r?
8
Suppose -4*b + 3142 = 5*w - 3*w, 3148 = 4*b - 4*w. What is the tens digit of b?
8
Let l = -623 - -845. What is the units digit of l?
2
Let k(c) = -c**3 + 4*c**2 + c - 5. Let m be k(2). Suppose r + m*s - 321 = -r, 5*r + 2*s = 855. What is the hundreds digit of r?
1
Suppose -6 = -4*h - 2. Let g(z) be the first derivative of z**4 + 3. What is the units digit of g(h)?
4
What is the hundreds digit of (52/5)/((-4990)/625 - -8)?
6
Suppose -o + 3 = 1. Suppose 5*m + 51 = o*t, 6*t - 2*t + m = 91. What is the units digit of t?
3
Let z(h) = h - 7. Let j be z(9). Suppose -2 = j*i - i. Let p = 8 - i. What is the tens digit of p?
1
Let z(h) = -2*h**3 + 4*h**2 - 9*h + 6. Let b(i) = i**3 - i**2 + i - 1. Let k(n) = -b(n) - z(n). What is the tens digit of k(4)?
4
Suppose -2*s + 3 + 5 = 0. Suppose b - 40 = -3*w, 4*b = s*w - 102 + 38. What | {
"pile_set_name": "DM Mathematics"
} |
: 1, k: 1, r: 2}. What is prob of sequence yuk?
1/210
Three letters picked without replacement from aknggngnaaa. Give prob of sequence ang.
2/55
Calculate prob of sequence hvvh when four letters picked without replacement from hvvhhhvvhhhvvhhhhh.
11/204
Two letters picked without replacement from uugguuuuggu. What is prob of sequence gu?
14/55
Calculate prob of sequence up when two letters picked without replacement from {p: 1, u: 1, d: 1}.
1/6
Four letters picked without replacement from csjjuiijsi. Give prob of sequence ucss.
1/2520
Four letters picked without replacement from eees. Give prob of sequence seee.
1/4
Four letters picked without replacement from zzzzszsz. What is prob of sequence sszz?
1/28
Calculate prob of sequence gl when two letters picked without replacement from lllggg.
3/10
Three letters picked without replacement from uovsvll. What is prob of sequence llo?
1/105
What is prob of sequence oc when two letters picked without replacement from {z: 2, o: 11, c: 1}?
11/182
Three letters picked without replacement from cjcjjcttcttccjc. What is prob of sequence ttc?
2/65
Two letters picked without replacement from qnnqnqqnnneeqqnqcq. Give prob of sequence nn.
7/51
Calculate prob of sequence od when two letters picked without replacement from odddodou.
3/14
Three letters picked without replacement from llxyyxyxxxeyliy. What is prob of sequence iye?
1/546
Calculate prob of sequence zzuz when four letters picked without replacement from {z: 3, u: 4}.
1/35
Two letters picked without replacement from qxqqqqqqxqq. What is prob of sequence xx?
1/55
Three letters picked without replacement from rrrprttrtrtttttrrrtt. What is prob of sequence ttr?
9/76
What is prob of sequence rg when two letters picked without replacement from rmgrrmrgrrpprrm?
8/105
Three letters picked without replacement from {m: 7, a: 3, p: 3, v: 1}. What is prob of sequence mpa?
3/104
Two letters picked without replacement from wewuwirwuuwwwi. What is prob of sequence wu?
3/26
Four letters picked without replacement from ejivsijejsepeje. What is prob of sequence esji?
2/819
Two letters picked without replacement from {e: 5, f: 8}. What is prob of sequence ef?
10/39
Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.
1
Three letters picked without replacement from kkyvwyvn. What is prob of sequence wyk?
1/84
Two letters picked without replacement from {y: 1, z: 1, f: 1, d: 1, o: 2, h: 1}. Give prob of sequence yo.
1/21
Three letters picked without replacement from eeeeeeddeeeeeeed. Give prob of sequence ddd.
1/560
Four letters picked without replacement from argyagaanyrygiryriyy. Give prob of sequence gyrg.
2/1615
What is prob of sequence xxhx when four letters picked without replacement from {h: 12, x: 6}?
1/51
What is prob of sequence bq when two letters picked without replacement from itqqibqqiqiibqqqt?
1/17
Four letters picked without replacement from ogooghoghoggh. Give prob of sequence ggoo.
10/429
What is prob of sequence hww when three letters picked without replacement from {h: 1, d: 3, w: 4, z: 2}?
1/60
Calculate prob of sequence bt when two letters picked without replacement from {j: 5, d: 1, t: 6, a: 2, b: 1}.
1/35
Four letters picked without replacement from wwixxivxiwxxpiiwwv. Give prob of sequence xxip.
5/3672
Two letters picked without replacement from puuubrr. What is prob of sequence uu?
1/7
What is prob of sequence cycc when four letters picked without replacement from yycyyccyysycss?
1/143
Four letters picked without replacement from cczzcz. What is prob of sequence zzcc?
1/10
What is prob of sequence ee when two letters picked without replacement from {c: 2, e: 2, p: 1, q: 9}?
1/91
Two letters picked without replacement from {l: 2, m: 2, f: 1, d: 2, r: 1}. What is prob of sequence lf?
1/28
Calculate prob of sequence xxx when three letters picked without replacement from {x: 9}.
1
Three letters picked without replacement from bdkekaeaebamk. Give prob of sequence eab.
3/286
Three letters picked without replacement from qnnqnq. Give prob of sequence nnn.
1/20
Two letters picked without replacement from gzogg. Give prob of sequence oo.
0
Four letters picked without replacement from qxqxxqxxlxnlnnly. What is prob of sequence xlqn?
27/7280
Three letters picked without replacement from {z: 2, m: 2, q: 1, p: 1}. Give prob of sequence pmm.
1/60
What is prob of sequence hmc when three letters picked without replacement from hcfmccccchm?
4/165
What is prob of sequence fpf when three letters picked without replacement from {f: 4, p: 3}?
6/35
Three letters picked without replacement from {k: 1, o: 1, v: 1, m: 2}. Give prob of sequence vkm.
1/30
What is prob of sequence obbb when four letters picked without replacement from bbbbbblbbbibbeboieqb?
143/9690
Three letters picked without replacement from fffxffxffs. Give prob of sequence ffs.
7/120
Three letters picked without replacement from {q: 3, n: 1, j: 1, o: 6, t: 3, s: 1}. Give prob of sequence nto.
3/455
Two letters picked without replacement from {x: 9}. Give prob of sequence xx.
1
What is prob of sequence bkk when three letters picked without replacement from bbbbknkknkbbnbbn?
1/35
Two letters picked without replacement from {v: 5, r: 7}. Give prob of sequence rv.
35/132
What is prob of sequence acm when three letters picked without replacement from cjrmrac?
1/105
Three letters picked without replacement from yyj. Give prob of sequence yyj.
1/3
Three letters picked without replacement from {o: 3, v: 1, l: 1, t: 2}. What is prob of sequence oto?
2/35
What is prob of sequence bgb when three letters picked without replacement from {b: 2, g: 2}?
1/6
What is prob of sequence yhjf when four letters picked without replacement from {f: 11, y: 1, h: 1, j: 4}?
11/14280
Three letters picked without replacement from {y: 3, r: 2, k: 4}. Give prob of sequence yyy.
1/84
Calculate prob of sequence ses when three letters picked without replacement from {s: 7, e: 1, j: 12}.
7/1140
Four letters picked without replacement from rpfflfllflvlprplfvlp. Give prob of sequence fppf.
2/969
Two letters picked without replacement from {w: 14, x: 1}. What is prob of sequence wx?
1/15
Two letters picked without replacement from zctzczztcz. Give prob of sequence ct.
1/15
Two letters picked without replacement from pupuupuupupppuuu. Give prob of sequence up.
21/80
Four letters picked without replacement from {l: 2, v: 2, m: 1, h: 2, t: 2, q: 5}. What is prob of sequence qmvq?
5/3003
Calculate prob of sequence nrrr when four letters picked without replacement from {f: 1, r: 4, n: 2, m: 4}.
1/165
What is prob of sequence rv when two letters picked without replacement from {t: 1, p: 3, v: 3, w: 3, r: 1}?
3/110
Three letters picked without replacement from {d: 5, u: 1, b: 1, r: 3}. What is prob of sequence dbr?
1/48
Calculate prob of sequence cyyy when four letters picked without replacement from gggcgcyyyyyyycyc.
2/65
What is prob of sequence ch when two letters picked without replacement from hrucz?
1/20
Calculate prob of sequence cxcp when four letters picked without replacement from {b: 6, c: 2, z: 4, p: 2, x: 1}.
1/8190
Two letters picked without replacement from {h: 4, o: 1, e: 1, v: 2}. What is prob of sequence eo?
1/56
Two letters picked without replacement from qhhhhhqhqhhqqyqhqhqq. Give prob of sequence hq.
9/38
Calculate prob of sequence oomb when four letters picked without replacement from {o: 3, b: 2, m: 4}.
1/63
What is prob of sequence pi when two letters picked without replacement from plpiihpipphhp?
3/26
Two letters picked without replacement from {k: 3, y: 8}. What is prob of sequence ky?
12/55
What is prob of sequence bf when two letters picked without replacement from {b: 3, f: 2, h: 3}?
3/28
Three letters picked without replacement from agggaggggg. Give prob of sequence aag.
1/45
Four letters picked without replacement from yxyxxoymyxy. What is prob of sequence xooy?
0
What is prob of sequence spap when four letters picked without replacement from apppspsspjsjp?
1/143
What is prob of sequence cbz when three letters picked without replacement from {z: 1, c: 2, v: 1, b: 1}?
1/30
Two letters picked without replacement from hhlele. Give prob of sequence el.
2/15
Two letters picked without r | {
"pile_set_name": "DM Mathematics"
} |
831*p**3 + 3530*p**2 + 31 wrt p.
700986
Differentiate 7*h*p - 827*h*z**2 + 2*h*z - 13*h + 56323*p*z**2 - 5*z**2 wrt h.
7*p - 827*z**2 + 2*z - 13
Differentiate i**3*n - 100*i**3 + i**2*n - 135005*n with respect to i.
3*i**2*n - 300*i**2 + 2*i*n
What is the second derivative of 40887*y**2 + 77242*y wrt y?
81774
Find the third derivative of 255969*o**4 + 4*o**2 - 1704*o - 3.
6143256*o
Find the second derivative of 9421*s**2 - 20466*s wrt s.
18842
Differentiate -1897975*w - 6711366.
-1897975
Differentiate 438576*i**3 + 523397 wrt i.
1315728*i**2
What is the second derivative of i*l**2*r**2 + 3*i*l + 2*i*r**2 - 3*i*r + 603*l**2*r + l**2 - r**2 + 10*r wrt l?
2*i*r**2 + 1206*r + 2
What is the second derivative of 1099*f**4*m**2 - 9*f**3*m**3 + 2*f*m**2 + 1656*m**3 wrt f?
13188*f**2*m**2 - 54*f*m**3
Find the third derivative of -x**4 + 1715*x**3 + 2129*x**2 + 24*x.
-24*x + 10290
Find the third derivative of -273*i**3*r**3 - 714*i**3*r + 53*i**2*r**3 - 14*i**2*r**2 - i - 23 wrt i.
-1638*r**3 - 4284*r
Differentiate 157890*d**2 - 371590.
315780*d
What is the first derivative of 836587*t**4 - 483547 wrt t?
3346348*t**3
Find the second derivative of -1004384*i**2*t - 1304*i*t - 2*i - 5 wrt i.
-2008768*t
Differentiate -9401*x**3 + 6*x**2 - 235147.
-28203*x**2 + 12*x
Find the third derivative of -1381083*d**5*k**3 - d**2*k**3 - 295*d**2*k + 1192*k wrt d.
-82864980*d**2*k**3
Find the third derivative of -6*v**4 - 25440*v**3 + v**2 - 73849*v + 1 wrt v.
-144*v - 152640
Find the first derivative of -32*u**3 - 177*u**2 + 94756 wrt u.
-96*u**2 - 354*u
Find the third derivative of 2*d**2*w*y**2 - 1651*d**2*y**3 + 69*d**2*y - 2*w*y**4 + w*y**3 + w*y**2 + 2*w*y wrt y.
-9906*d**2 - 48*w*y + 6*w
What is the derivative of 2*s**2*v - 5782*s**2 - s*v + 26*s + 1747232*v wrt v?
2*s**2 - s + 1747232
What is the second derivative of -261*l**3 - 5*l**2 - 254*l - 99?
-1566*l - 10
What is the second derivative of 15968*o**2*u**3 + o**2*u**2 - 536*o*u**2 + 27*o*u + 2*u**3 + 2*u**2 wrt o?
31936*u**3 + 2*u**2
What is the second derivative of -377312*f**2 - 651490*f wrt f?
-754624
What is the second derivative of 104762*w**4 + 30*w - 217?
1257144*w**2
Differentiate -g*j**2*k - 2106*g*j**2 + 6*g*k - 4*j**2*k + j**2 + 21*j*k + 22 with respect to g.
-j**2*k - 2106*j**2 + 6*k
Find the second derivative of -226652*i**2 - 4478*i.
-453304
What is the third derivative of 101*q**4 + 22*q**3 - 187043*q**2 wrt q?
2424*q + 132
Find the first derivative of 88*p**2 - 349*p*t - 31548*t wrt p.
176*p - 349*t
Find the second derivative of 3*c**2*i*x - 2*c**2*i - 200246*c**2*x**3 + 1280880*c*i*x**3 wrt c.
6*i*x - 4*i - 400492*x**3
Find the second derivative of -259*f*k**2 + 59188*f*k - 4*f - 724*k**4 wrt k.
-518*f - 8688*k**2
Differentiate 37*c**4*l**2 + 29699*c**2*l**2 + 2415978*l**2 wrt c.
148*c**3*l**2 + 59398*c*l**2
Find the third derivative of 363107*b**3 + 356698*b**2 + b wrt b.
2178642
Find the first derivative of 15329*i**4 + 9*i**2 + 304609 wrt i.
61316*i**3 + 18*i
What is the second derivative of -484442*v**4 - v - 40483?
-5813304*v**2
Find the second derivative of 512*m**2*u + 110*m**2 - 61*m + 9*u - 2 wrt m.
1024*u + 220
Find the second derivative of a*j**3 + 148*a*j - a + 11691*j**3 + 18*j + 5 wrt j.
6*a*j + 70146*j
Differentiate 5155*k*u**3 - 4*k*u + 2277279*k + 3*u with respect to u.
15465*k*u**2 - 4*k + 3
Find the third derivative of -228379*f**5 + 13*f**2 - 13*f - 72.
-13702740*f**2
Differentiate 6*d**2*z - 203245*d**2 + d*z**2 + 16171*d*z with respect to z.
6*d**2 + 2*d*z + 16171*d
Differentiate 976231*j**2*l - 2*j**2 - 100473*j wrt l.
976231*j**2
Find the third derivative of -3835*t**4 + 6*t**3 + 160258*t**2 wrt t.
-92040*t + 36
Find the second derivative of -157*a*b**5 + 8*a*b**3 - 2*a*b - 45575*b wrt b.
-3140*a*b**3 + 48*a*b
What is the third derivative of -3254786*h**5 - 930895*h**2 + 2 wrt h?
-195287160*h**2
Find the second derivative of -131579*z**2 - 129*z - 8333.
-263158
What is the second derivative of u**3 - 367487*u**2 + 4341*u + 13 wrt u?
6*u - 734974
Find the third derivative of -1050*o**6 - 38*o**3 - 260162*o**2 + 2*o wrt o.
-126000*o**3 - 228
Find the third derivative of 34533*h**3 - 18643*h**2 + h wrt h.
207198
Differentiate -148879*g - 53464.
-148879
Find the third derivative of 46690*t**4 - 2*t**3 - 34*t**2 - 1165*t.
1120560*t - 12
What is the third derivative of -2*j**2*x**3 - 2*j**2 - 17463*j*x**2 + j*x - 389899*x**3 + 2*x wrt x?
-12*j**2 - 2339394
What is the derivative of 2*s**3*w - 15104*s**3 - 8494*w**2 wrt w?
2*s**3 - 16988*w
Find the third derivative of -39835*y**3 + 2*y**2 + 286142.
-239010
Find the third derivative of -22378*d*f**3 - 500*d*f**2 - 4*d*f - 5*f wrt f.
-134268*d
What is the third derivative of -248203*d**6 - 10032*d**2 - 3*d + 1?
-29784360*d**3
Differentiate -107500*c*i*w - 11*c*w + 4*c - 95*w - 1 with respect to i.
-107500*c*w
What is the second derivative of -4028*p**5 + 4*p**4 + 3*p + 23183?
-80560*p**3 + 48*p**2
What is the first derivative of -131962*s - 546668 wrt s?
-131962
Differentiate -3011*k**2*w - 6*k*w**2 - 1779*w**2 + 15 wrt k.
-6022*k*w - 6*w**2
What is the third derivative of 22768*g*k**3 + 17349*g + k**2 wrt k?
136608*g
Differentiate -1338135*j + 3155954 with respect to j.
-1338135
Find the third derivative of 101950*i**6*y + 2*i**3*y - 6*i**2*y + 56*i**2 + i*y - y wrt i.
12234000*i**3*y + 12*y
Differentiate 3*g**3*o - 23*g**3 - 7*g*o + 6*g - 8295*o**3 - 42 wrt o.
3*g**3 - 7*g - 24885*o**2
What is the third derivative of -39787*b**4*o - 2*b**2*o + 410*b**2 + 4*b - 3*o wrt b?
-954888*b*o
What is the second derivative of -3*r**4 - 188*r**3 + 27*r**2 - 3*r - 10462?
-36*r**2 - 1128*r + 54
Find the first derivative of -28088*t**4 - 42707.
-112352*t**3
What is the second derivative of -q**5 - 124*q**3 + 826*q**2 - 3507394*q wrt q?
-20*q**3 - 744*q + 1652
What is the second derivative of -f**3*j**2 + f**3*j*t**3 - 34*f**2*j*t - 258*f**2*t - 261*f*j**2*t - 2*f*j*t**3 + 4*j**2*t**3 wrt j?
-2*f**3 - 522*f*t + 8*t**3
Find the third derivative of h**6 - 730379*h**3*l**2 + 17*h**2*l**2 + 103*h**2 - 158 wrt h.
120*h**3 - 4382274*l**2
Differentiate 56*j*t*v - 42*j*v + 57*j - 1221*t*v wrt t.
56*j*v - 1221*v
Differentiate -149908*o**2 - 538987 with respect to o.
-299816*o
Differentiate 7833*t**4*v**3 + t**4 + 15473*v**3 with respect to t.
31332*t**3*v**3 + 4*t**3
What is the second derivative of l**3*q**2 - 74*l**3*q + 182*l**2*q**2 - l*q**2 - 168*l*q - 113*q**2 wrt l?
6*l*q**2 - 444*l*q + 364*q**2
Find the second derivative of -39*f*y**3 + 103*f*y**2 - 5*f*y + 199*f + 5*y**2 - 5*y - 1 wrt y.
-234*f*y + 206*f + 10
What is the second derivative of 27331*o*x**4 - 4*o*x**3 - 7*o*x + 20*o - 2011*x wrt x?
327972*o*x**2 - 24*o*x
Find the first derivative of -305258*q**2 - 25005 wrt q.
-610516*q
What is the second derivative of 10*s**2*y**2 - 2*s**2*y - 198*s**2 - 227*s*y**2 - 3*s*y - 6 wrt s?
20*y**2 - 4*y - 396
What is the second derivative of -n**3*w + 13*n**3 - 1893*n**2*w + n**2 - 3*n*w - 152*n - 19*w wrt n?
-6*n*w + 78*n - 3786*w + 2
Find the third derivative of 32166*d*t**5 - 503973*d*t**2 - 2*t**5 wrt t.
1929960*d*t**2 - 120*t**2
Find the third derivative of -44318*v**5 - 264422*v**2 wrt v.
-2659080*v**2
What is the third derivative of -2*g**2*n**5 + 3367982*g**2*n**3 - 4*g**2*n**2 + 22*g**2*n + 5*g*n**2 - 96*g wrt n?
-120*g**2*n**2 + 20207892*g**2
What is the second derivative of 301314*p**3 + 98*p - 197?
1807884*p
Find the third derivative of -882*a**6 + 3*a**4 - 6*a**3 + 49497*a**2.
-105840*a**3 + 72*a - 36
Differentiate -61*a**3 - 3*a**2 + 3*a - 24911 wrt a.
-183*a**2 - 6*a + 3
What is the first derivative of -5*k**4 + 14110*k**3 + 209020 wrt k?
-20*k**3 + 42330*k**2
What is the third derivative of -14*u**3*w**3 + 6635*u**3*w**2 - 23*u**3 + 2*u**2*w**2 + 11745*u*w**3 wrt w?
-84*u**3 + 70470*u
Find the third derivative of 2*v**6 + 4*v**5 + 413*v**4 - 19544*v**2 wrt v.
240*v**3 + 240*v**2 + 9912*v
What is the third derivative of -227360*o**3 - 92455*o**2 wrt o?
-1364160
What is the first derivative of x**3 + 6693*x**2 + 2*x - 19672?
3*x**2 + 13386*x + 2
What is the second derivative of 9*c**2*d*i**3 - 6*c**2*i - 2371*c*d*i - 541*c*i**3 + 2*d*i wrt i?
54*c**2*d*i - 3246*c*i
Find the third derivative of -556610*v**3 - 1346956*v**2.
-3339 | {
"pile_set_name": "DM Mathematics"
} |
se 10 = -2*f, 4*f = -2*l - 2 - 10. Suppose q + 11*v - 10*v = 4, 0 = -4*q + 5*v + 16. Solve -q*m = l + 16 for m.
-5
Suppose 4*a - 3 = -k, 5*k = -7*a + 2*a - 15. Let w(j) = -j - 5. Let r be w(k). Suppose 3*b - 8 - 52 = r. Solve 3*z - b = -z for z.
5
Let c(k) = k - 5*k + 2*k + k - 4. Let b be 9/((-189)/77) + (-1)/3. Let x be c(b). Solve x = i + i for i.
0
Let n(h) = -h**3 + 11*h**2 + 17*h - 27. Let m be n(12). Let t = 36 - m. Let w(y) = y**2 + y - 38. Let r be w(6). Solve -t*j + r = -5*j for j.
-2
Let g(p) = -5*p + 7. Let v be g(3). Let f = v - -14. Solve -y + f - 3 = 0 for y.
3
Let t(a) = -a**3 + 21*a**2 + 47*a - 18. Let g be t(23). Suppose -g*p + 4*i = -0*p - 43, p - 15 = 4*i. Solve 7*c - 14 - p = 0 for c.
3
Let l = 2780 - 2767. Solve 4*y + l = 33 for y.
5
Suppose 0 = 48*w + 678 - 1446. Solve 9*x - 25 = -w*x for x.
1
Let o(f) = f**3 - 55*f**2 + 518*f - 78. Let l be o(43). Solve 17 - 25 = -l*r for r.
1
Let r(c) = -c**2 + 5*c - 4. Suppose 4*t - 3 - 9 = 0. Suppose y + 8 = t*y. Let d be r(y). Solve d = -2*n - n - 9 for n.
-3
Let h be (-3 + 13)/((-21)/(-6) - 3). Solve h*w - 132 = -32 for w.
5
Let t = -96 - -87. Let b be (-3 + -2 - t)*(-5)/(-4). Solve 0 = -b*y + y - 20 for y.
-5
Let u be 102/9*6/(-2). Let a be 10/(-40) + u/(-8). Suppose 3 = -2*q - z - 2*z, -5*z - 13 = 2*q. Solve -q = a*f - 22 for f.
4
Suppose -m + 37 = -5*g - 32, -3*g = 4*m - 345. Suppose -9 = c + 2*c, -3*s + m = c. Solve -s + 29 = -q for q.
0
Let b(l) be the second derivative of l**4/12 + 7*l**3/3 - 16*l**2 + 10*l. Let p be b(-16). Let z be (p*(-3)/15)/(1/(-1)). Solve -k - k = z for k.
0
Let l be (2*3/(-6))/((-1)/(-3)). Let s be (-97 - -2)/(-5) + l. Suppose 0 = s*j - 8*j - 32. Solve n = -j*n - 5 for n.
-1
Let b(x) = -x + 1. Let a(l) = 7*l - 17. Let q(t) = -a(t) - 6*b(t). Let s be q(9). Let k be (2 + -1)/((-3)/(-12)). Solve s*v = k*v + 10 for v.
-5
Let a = -201 + 206. Let b be (-20)/a - (-8)/((-1)/(-1)). Solve -b*i - 24 = -8 for i.
-4
Suppose 2*o - 724 = -11*o - 399. Solve -17*g = -o + 8 for g.
1
Let a(h) = -h**2 + 8*h - 6. Let k be a(6). Let o(f) = f**3 + 4*f**2 + 3. Let u be o(-3). Let s be u/18*(-3 + k). Solve -s*g - 15 = g for g.
-5
Let b(i) be the second derivative of 25*i**3/6 + 177*i**2/2 - 26*i - 4. Let s be b(-7). Solve -j + 3 = -s for j.
5
Let y(k) = 2*k**2 + 6*k + 20. Let m be y(-2). Suppose m*f - 3*f - 260 = 0. Solve -3*n - f + 5 = 0 for n.
-5
Let a(s) = -6*s**2 - 82*s - 242. Let w be a(-9). Solve -24*i = -w*i - 84 for i.
6
Let t(i) = -i**2 - 3*i + 15. Let y be t(-5). Suppose -y*h - 15 = -6*h - b, 4*b = -h. Solve 5 = -5*n - h for n.
-5
Let v be 1/(3/72)*119/(-21). Let m = v + 139. Solve -2*t - m - 3 = 0 for t.
-3
Suppose -98 - 1873 = -27*v - 324. Solve -v*p + 175 = -86*p for p.
-7
Let t be (-10 + 18)*(-1 - -4)/12. Suppose t*p = 99 - 81. Solve p*o - 13*o = 16 for o.
-4
Let z be (8/(-24) + 66/18)/(2/3). Solve 5*x - z = 6*x for x.
-5
Let n(u) = 21*u**2 + 756*u + 88. Let o be n(-36). Solve -42*d = -64*d - o for d.
-4
Let n = -19 - -23. Suppose -42 = -n*d + 86. Let r = d + -16. Solve -4*b + 0 = r for b.
-4
Let l be 155/(-93)*3*-1. Suppose 5 = x, -4*r - 7*x + 110 = -l*x. Solve 27*w + 4 = r*w for w.
-2
Let f(r) = r**3 - 21*r**2 + 24*r - 12. Let t be f(20). Suppose 0 = 9*l - 43*l + t. Solve -5*h + l = 2 for h.
0
Let t be (-1 - -4 - 2)/1. Suppose 2*a = 2*n + 14, -a = 4*n - t + 4. Let x = 12 + n. Solve -5*p - x = -7*p for p.
5
Suppose -4*v + 7*h - 122 = -181, -2*h - 28 = -3*v. Suppose 6*s - 2 = 5*s. Solve 4*b - s = v for b.
2
Let q be 18/6*(-3 - -3 - -11). Suppose 5*b - 314 = -2*u, -28*u = b - q*u - 79. Solve b - 64 = -n for n.
0
Let g = -9686 - -9714. Solve -65 = g*x - 37 for x.
-1
Suppose -207*v - 3*l = -202*v - 56, -4*v + 2*l + 36 = 0. Solve -5 = -t - v for t.
-5
Let k be 117/27 - 8/6. Suppose -3*a = -k*c + 303, 19 = 2*c + 2*a - 199. Suppose f - 6*f + 5*g = -c, -5*g - 29 = -f. Solve -4*n + 3 - f = 0 for n.
-4
Let s be 63/2*(-4)/(-6). Let h = 3959 + -3953. Solve 5*w - h = -s for w.
-3
Let o(n) = -2*n**3 + 11*n**2 - 2*n - 11. Suppose 0*s - 5*s = 0. Suppose p + 8 - 13 = s. Let r be o(p). Solve r*z - 24 = -4 for z.
5
Suppose 280 = 1245*b - 1225*b. Solve -11*c - b = -18*c for c.
2
Suppose -2965*w = -2971*w + 14040. Solve -12 = 2336*q - w*q for q.
3
Let p(m) = m**3 - 5*m**2 + 53. Let s be p(6). Let q = 132 - s. Solve -47 = -4*y - q for y.
1
Suppose 22*n - 65 - 353 = 0. Suppose -309 - 14 = -n*w. Solve 2*t + 21 - w = 0 for t.
-2
Suppose 0 = -0*q + 5*q - 140. Let p = -94 + 10. Let g = -81 - p. Solve -q = 5*v - g for v.
-5
Let f = -43 + 52. Suppose 4*h = 57 - f. Suppose -3*i + 6 + 6 = 0. Solve -i*l = 8 + h for l.
-5
Let h be 499 - -1 - (0 - (-1 + 5)). Suppose 0 = 9*t - t - h. Let o = 64 - t. Solve -2 - o = -k for k.
3
Let i = -29 + 34. Suppose i*a = -5*o, -o + 6*o = -3*a + 6. Suppose -1 = -o*t - 2*n, t - 4 = 2*n - 1. Solve 2*v - t = v for v.
1
Suppose 0 = 5*v - 0*v - 235. Suppose -4*g - 99 + 315 = 4*h, 4*h = 12. Suppose -16 = -g*q + v*q. Solve -2*t - q - 2 = 0 for t.
-3
Let s(m) = -3*m**3 + m**2 + m - 1. Let a be s(1). Let n be 7 - (-12)/((-8)/a). Let r be (180/375*5)/(6/20). Solve n*q = r*q + 4 for q.
2
Let q = 3413 + -3412. Solve q = 12*c - 47 for c.
4
Let n be ((-80)/(-50))/((-4)/(-50)). Suppose 0 = -c - n + 23. Let o be c + -3 + 4 - 4. Solve -2*v + 4*v = o for v.
0
Let m(i) = i**3 - 13*i**2 + 3*i - 12. Let d be m(6). Let q = 266 + d. Solve -4*l = l + q for l.
-4
Let v = -36 - -68. Suppose 0 = 1484*b - 1492*b + 96. Suppose 0 = -v*j + 38*j - b. Solve j*p + p + 12 = 0 for p.
-4
Let t = 132 - 124. Suppose -i - t = -8. Suppose i = 2*j - 12*j + 80. Solve 2*m + j + 2 = 0 for m.
-5
Suppose 3*c + 16056 = 16086. Solve -v = 2*v + c*v for v.
0
Let m = 6 + -1. Suppose 2*t + 83 - 93 = 0. Suppose z + 10*d = 13*d + 2, t*z - 4*d = 10. Solve -4*l = -m*l + z for l.
2
Let a be -11 - 1014/(-91) - 2820/(-7). Let s = a + -393. Solve -15*x - s = -20*x for x.
2
Suppose 2*q = 30*q + 6496. Let z = 235 + q. Let w = 10 + -5. Solve z = -w*y + 28 for y.
5
Let o = 522 - 200. Solve -o = -10*m - 342 for m.
-2
Suppose 2*p + s - 6 = 0, 0 = 5*p + 1273*s - 1275*s - 6. Suppose -3*v + 10 = 43. Let l = 15 + v. Solve -4*i + l = -p*i for i.
2
Suppose -9*s - 25 = -4*w - 4*s, -4*w = 4*s + 20. Suppose -72*h + 73*h = w. Solve 39*i - 34*i + 5 = h for i.
-1
Let v(u) = -652*u + 1956. Let j be v(3). Solve -18*t = -18 - j for t.
1
Let a be 25 - (15 + (-120)/8). Solve 2*j = 7*j - a for j.
5
Suppose 2963 - 2391 = 22*r. Solve 20*h - r*h = 12 for h.
-2
Let w(j) = -j**3 - 2*j**2 + j - 1. Let i(p) = 5*p**2 + 2*p - 3. Let u(a) = -i(a) - 2*w(a). Let l be u(2). Solve -2*r + 13 = l for r.
2
Let g be ((-4)/18)/((-1)/18). Suppose o + 5 = j, 4*j - g*o - 14 = -2*o. Solve -6 + j = 4*p for p.
-1
Suppose -14*k - 1095 = -1697. Solve -52*c - 27 = -k*c for c.
-3
Suppose -6*g + 75 = -3*g. Let t = g + -28. Let x(u) = u + 9. Let b be x(t). Solve b - 1 = 5*f for f.
1
Suppose -5*x - 5*u = -65, 43*x - 41*x - 29 = -u. Solve 2*b - x = -30 for b.
-7
Let c(k) = -k**2 + 49*k + 1852. Let r be c(-25). Solve r*z = 15*z - 65 for z.
5
Suppose -15 = -2*l - 5*p, 0 = 4*l + l - 4*p - 21. Suppose -2*i = 5*z - 7, -l*i + 2 = 3*z - 6*z. Solve 11 = 3*w - i for w.
4
Suppose -18 = -130*n + 127*n. Let a be (n/(-7 + 1))/(1/(-5)). Solve a = -8*c - 3 for c.
-1
Let y be (0*1/2)/(-1). Let a = 61420 + -61418. Solve a*i + 5*i = y for i.
0
Suppose -5*u = 2*v + 3*v, 2*u = v - 12. Let y = u - -3. Let s(g) = -g + 1. Let z be s(y). Solve -3 = z*j + j for j.
-1
Let t(u) = -17*u - 110. Let n be t(-10). Suppose n*l - 61*l = 0. Solve 5*h - 35 + 10 = l for h.
5
Suppose 3 = -z, 0*z = 5*d + 5*z + 100. Suppose -2*h + 5*a + 38 = 0, 95 = 5*h + 3*a - 6*a. Let k = h + d. Solve -k*t + 4 = -0 for t.
2
Let f be 8/(26/(-22) - -1). Let n(u) = -55*u - 975. Let x be n(-17). Let b = x - f. Solve 0 = b*q - 5*q - 5 for q.
-5
Let m(n) = 3*n**3 + 30*n**2 + 26*n - 9. Let i be m(-9). Solve -44*s + 38*s = i for s.
0
Suppose 4*x + 7 = -5*q + 56, -55 = -4*x - 3*q. Let k be -3 + 104/x + (-1)/2. Solve 4*f + 5 = k*f for f.
-5
Let u be ((-20)/45)/((-9)/(-135))*-30. Solve -4*n + 29*n - u = 0 for n.
8
Let i be (2256/658)/((-3)/((-63)/6)). Solve 751*j = 749*j - i for j.
-6
Let t(u) = -2*u**3 - 29*u**2 + 15*u + 24. Let h be t(-15). Suppose -17*b + h*b = 14. Solve -2*z + 3*z = b for z.
2
Suppose 6*a - 7*a = -7. Let g(t) = -5*t | {
"pile_set_name": "DM Mathematics"
} |
-4278, -7936, -12606, -18288, -24982?
-32688
What is next in 2662, 5404, 8146, 10888?
13630
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-1056500
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66746
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284339
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-14032
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-1695731
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1791286
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-126019
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1564
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-825
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-101456
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2246
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-2676
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10376
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-4263
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-57642
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5286
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8455
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362215
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-1205
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-51327
What comes next: -3045, -12198, -27455, -48816, -76281, -109850?
-149523
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-2167
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7291
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16308
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2181
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1438
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78288
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-1222
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3272
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14435
What is the next term in -119, -178, -351, -698, -1279, -2154, -3383?
-5026
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-3446
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10442
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38545
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-48916
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-98559
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1155
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-53874
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53389
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-1730
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41
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4063
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-2730
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6887
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1256195
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-4816
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-3242
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6706
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1136
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8500
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40781015
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2957
What is the next term in 2291, 4590, 6895, 9206, 11523, 13846?
16175
What comes next: -202, -293, -416, -571, -758, -977?
-1228
What is the next term in -992, -929, -880, -851, -848?
-877
What is the next term in 11, 298, 583, 866, 1147, 1426, 1703?
1978
What comes next: -630373, -630379, -630389, -630403, -630421, -630443, -630469?
-630499
What comes next: -72155, -72183, -72211, -72239?
-72267
What comes next: -19, 36, 339, 1064, 2385, 4476, 7511?
11664
What is the next term in -511, -512, -503, -484, -455, -416, -367?
-308
What is the next term in -27266, -54536, -81810, -109088, -136370?
-163656
What is next in 53644, 53649, 53654?
53659
What is the next term in -14777, -29546, -44315, -59084, -73853?
-88622
What is next in 185459, 370917, 556375?
741833
What comes next: 16082, 32209, 48338, 64469?
80602
What is the next term in 284, 738, 1516, 2780, 4692, 7414?
11108
What comes next: 37, -546, -2159, -5318, -10539, -18338, -29231, -43734?
-62363
What is the next term in -64, -195, -494, -1045, -1932, -3239, -5050, -7449?
-10520
What is next in -23, -41, -35, 13, 121, 307, 589?
985
What comes next: -9585, -76643, -258639, -613041, -1197317?
-2068935
What is next in -45, -83, -117, -147, -173, -195, -213?
-227
What is next in -129384, -258765, -388146, -517527?
-646908
What comes next: 861, 1733, 2623, 3537, 4481, 5461?
6483
What comes next: 148020, 296088, 444168, 592266, 740388, 888540, 1036728, 1184958?
1333236
What is the next term in -89, -235, -515, -959, -1597?
-2459
What is next in -205, -346, -705, -1384, -2485, -4110, -6361?
-9340
What comes next: 190192, 190183, 190164, 190129, 190072, 189987, 189868, 189709?
189504
What comes next: 1498, 1143, 788, 433, 78, -277?
-632
What is the next term in -1053, -3568, -7761, -13632, -21181?
-30408
What comes next: -294, -180, 14, 294, 666, 1136, 1710?
2394
What is next in -147, -1056, -3533, -8364, -16335, -28232?
-44841
What is next in -3389, -6803, -10217, -13631?
-17045
What is the next term in 668, 1539, 2610, 3881?
5352
What is next in -65, -369, -1143, -2621, -5037, -8625, -13619?
-20253
What is the next term in 75818, 75820, 75822, 75824?
75826
What is next in -551957, -551959, -551961, -551963?
-551965
What comes next: -667, -1375, -2083, -2791, -3499, -4207?
-4915
What comes next: 1403, 2985, 4567, 6149, 7731, 9313?
10895
What is the next term in 1422, 2852, 4282, 5712?
7142
What comes next: 25588, 102243, 229994, 408835, 638760, 919763, 1251838, 1634979?
2069180
What is next in 19, -12, -75, -170, -297, -456?
-647
What is the next term in -2037, -8103, -18211, -32361?
-50553
What is the next term in -1405, -1355, -1293, -1213, -1109, -975?
-805
What comes next: -2880, -5729, -8506, -11175, -13700?
-16045
What comes next: 5661, 11320, 16979, 22638, 28297, 33956?
39615
What is next in -354, -389, -426, -459, -482, -489, -474?
-431
What comes next: 6272, 12456, 18650, 24860, 31092, 37352?
43646
What comes next: 7435, 30076, 67811, 120640, 188563, 271580?
369691
What is next in 1408, 1425, 1466, 1543, 1668, 1853, 2110?
2451
What is next in -1494, -12121, -41026, -97347, -190222, -328789, -522186?
-779551
What is the next term in -407, 847, 2103, 3361, 4621, 5883, 7147?
8413
What comes next: -24979, -49960, -74939, -99916, -124891, -149864, -174835?
-199804
What comes next: 676, 1212, 2098, 3328, 4896?
6796
What is next in 369, 751, 1125, 1485, 1825?
2139
What is the next term in -4828, -4823, -4818, -4813, -4808?
-4803
What is next in 202393, 404790, 607187, 809584?
1011981
What is next in -4232, -8460, -12688?
-16916
What comes next: -23660, -94639, -212938, -378557, -591496, -851755, -1159334?
-1514233
What comes next: -103888, -207770, -311646, -415516, -519380?
-623238
What is next in -19050, -76206, -171466, -304830?
-476298
What is the next term in -533969, -533972, -533975?
-533978
What comes next: -3527878, -3527880, -3527882, -3527884, -3527886, -3527888?
-3527890
What is the next term in -1378, -1356, -1334?
-1312
What is next in -91554, -183103, -274654, -366207?
-457762
What is the next term in -126369, -252740, -379111, -505482, -631853, -758224?
-884595
What is next in 194, 759, 1694, 2999, 4674, 6719, 9134?
11919
What is the next term in 97838, 97812, 97786, 97760?
97734
What is next in -173873, -173869, -173863, -173855, -173845, -173833?
-173819
What is the next term in -62, -251, -562, -995?
-1550
What comes next: 138, 543, 1222, 2175, 3402, 4903?
6678
What is the next term in -270, -1072, -2410, -4284, -6694, -9640?
-13122
What comes next: -5027, -5090, -5183, -5300, -5435, -5582, -5735?
-5888
What comes next: 225, 651, 1359, 2349, 3621, 5175?
7011
Wha | {
"pile_set_name": "DM Mathematics"
} |
55832 - -0.3.
-28855831.7
What is 46010717 less than -0.08?
-46010717.08
Put together 1453.81 and 8.8.
1462.61
Subtract 1604894604 from -2.
-1604894606
What is the distance between -2544133.54 and -5.8?
2544127.74
-13.085579 + -24
-37.085579
Put together 4755941 and 0.02.
4755941.02
Work out -0.781137 - 140.
-140.781137
-157400 + 276
-157124
What is 40897294.1 less than 0.082?
-40897294.018
Add 25090 and 66361.
91451
What is 38412 less than 1731?
-36681
What is -507921 + -19?
-507940
What is the difference between 0.1 and 0.1585534023?
0.0585534023
24 + 51.45284
75.45284
What is 0.5 take away -29.35232616?
29.85232616
What is -1.3524 plus 1868425?
1868423.6476
Total of -42543.656 and 0.5.
-42543.156
Work out 68306 + -1.483.
68304.517
What is the difference between -169554063 and 0.55?
169554063.55
Calculate -0.1 + -2981762035.
-2981762035.1
-6916 + -180
-7096
Work out -2 + 0.03356524.
-1.96643476
Add together -0.3 and -0.029141327.
-0.329141327
What is -49048 minus 196572?
-245620
Work out 1730.5 - -0.80862.
1731.30862
What is -243478831 + 26?
-243478805
Calculate 989128 + 2.7.
989130.7
Add -0.6973 and 0.07101.
-0.62629
Sum 2 and -442247052.
-442247050
Calculate -2413225631 - -2.
-2413225629
What is -358552 minus -0.0991?
-358551.9009
Put together 103844069 and -50.
103844019
-7490.352 - -22.46
-7467.892
452.0049 - -8705
9157.0049
What is -158 take away 12374.814?
-12532.814
What is -3809658748 plus 0.04?
-3809658747.96
41276549 + 5
41276554
What is 1.6040524 + -0.85?
0.7540524
Subtract -0.5 from -51044916.
-51044915.5
What is 41634 + 0.68367?
41634.68367
What is 0.15391 + -65.3?
-65.14609
-414 - -176.56
-237.44
What is 0.045 plus -110927?
-110926.955
What is 3401334 - 0.4?
3401333.6
Sum 200818 and 0.418.
200818.418
What is the distance between -87 and -22900.4?
22813.4
Add 13362 and -474999.
-461637
Subtract 136.7 from -32297.
-32433.7
Add 0.0691 and 3.109.
3.1781
What is 0.2318 - -2694.2?
2694.4318
Total of 3 and -0.02238938.
2.97761062
Work out 7.006 - -1.196.
8.202
What is the distance between 1095732 and 438?
1095294
Subtract 224917 from -18.8339.
-224935.8339
Work out -0.5 - -13331998.
13331997.5
What is -879302 minus -111?
-879191
Work out 1094833 - -0.16.
1094833.16
Subtract 0.024 from -237180082.
-237180082.024
Work out 2 - 836703862.
-836703860
What is 109 take away 1.326631?
107.673369
Add together -4.43 and 328301.
328296.57
What is the difference between 0.140638 and 48425?
48424.859362
12206.3+0.203
12206.503
Calculate -293347 - -0.48.
-293346.52
What is 2376.016 + -0.149?
2375.867
Add 304.521 and -0.7061.
303.8149
What is -1644264 take away 21?
-1644285
-12+5007990961
5007990949
Add together -314286.2 and 8.058.
-314278.142
What is 1 take away -1210991487?
1210991488
What is the difference between 9117478 and 24?
9117454
What is 0.02031 - 110.51?
-110.48969
Calculate -5.3 + -26.36405.
-31.66405
Work out 411.9404 - -0.096.
412.0364
Work out -4 - 214.06828012.
-218.06828012
What is the distance between 0.059 and -26655?
26655.059
What is 0.3 plus 8.561776?
8.861776
What is -5176.2 take away -0.1309?
-5176.0691
What is the distance between -2969.7 and 26902.9?
29872.6
Work out -1484 - 1851543.
-1853027
-15 - 39892634
-39892649
What is the distance between 3403 and -0.17779926?
3403.17779926
Work out -13.4695011278 - -3.
-10.4695011278
Calculate -202382.8379 - -10.
-202372.8379
What is the distance between -16991720 and 14?
16991734
What is -20 - -198012807?
198012787
Subtract -0.007034175 from 0.5.
0.507034175
Put together -0.3 and 565678.
565677.7
What is the distance between -1490.356415 and -3?
1487.356415
Calculate -145 - -0.00857.
-144.99143
Add -14658.5 and -44.9.
-14703.4
Subtract 0.2 from -12445282.
-12445282.2
Calculate 1349.33 - -0.8737.
1350.2037
Total of -0.1 and -7780694.
-7780694.1
-420498.3 - -8.2
-420490.1
What is -5 take away 854643.0698?
-854648.0698
Work out 1296 + -0.5285.
1295.4715
Add 0.046 and 87393.
87393.046
744361266+-0.4
744361265.6
What is -7542622 - 216?
-7542838
Calculate 452.16492 + 0.9.
453.06492
Sum -30 and -38269.5301.
-38299.5301
Add 8716 and 9448.
18164
Put together 311 and -1068.8.
-757.8
Add together -292171.707 and -36.
-292207.707
Calculate -0.1375 + 8484.
8483.8625
What is -0.0682206 take away -4205?
4204.9317794
What is -1198.59 plus 38.4818?
-1160.1082
Total of 0.01 and -8263432060.
-8263432059.99
Calculate -7004 - 1428.
-8432
Total of -7.82521 and 0.3935.
-7.43171
2.1 + -0.122535117
1.977464883
2210.16 + -1.03
2209.13
Calculate -0.42 + -3.0621.
-3.4821
7 - -108466046
108466053
What is 2927 take away 113867?
-110940
Sum -2.5651 and 9503.
9500.4349
-14042715 + -1
-14042716
Calculate 0.3 - -258529656.
258529656.3
Subtract -259795 from 0.332.
259795.332
What is 174074 minus 1.8?
174072.2
Work out 197554 + -19700.
177854
Calculate 65301899 - -0.2.
65301899.2
-134775.45+-185
-134960.45
What is 7228395 less than 1?
-7228394
Add 960 and -0.1477544.
959.8522456
Calculate -0.4 - 16277.24293.
-16277.64293
What is 1512653.6 minus -29?
1512682.6
Subtract -203 from -459.3971.
-256.3971
Subtract 104571 from -347.8.
-104918.8
-1397 + 94.24081
-1302.75919
What is -0.054 - -418528?
418527.946
What is -22.6212 plus 259?
236.3788
Calculate 13574829 + 0.4.
13574829.4
What is 75158.8 - -68277?
143435.8
What is 19064.093 less than 906?
-18158.093
What is 0.23662 - -0.07664?
0.31326
What is the distance between -127138.84 and 0.01?
127138.85
Subtract 11 from -37942726.78.
-37942737.78
Total of 997 and 0.0407698.
997.0407698
What is 4.97 take away 0.0605901?
4.9094099
Calculate 129.5603 - 344.
-214.4397
Total of -30676270.9 and 4.
-30676266.9
Total of -68017 and -1085.
-69102
What is -1821.2745 plus 0.115?
-1821.1595
What is 259 - 1723192?
-1722933
Total of 1.8 and 55106.77274.
55108.57274
What is -0.041 minus 513.1461?
-513.1871
What is the distance between 272075 and 0.12167?
272074.87833
What is the distance between -0.0257 and -25313?
25312.9743
Add -4749879141 and 4.
-4749879137
Put together -955 and 1035.39.
80.39
What is the distance between 41106845 and -2?
41106847
Add -233313217 and 3.
-233313214
What is the distance between 45736901 and -5?
45736906
Total of 956.491 and -312.
644.491
What is the difference between 0.2 and 63928190?
63928189.8
Add together 306.3 and -23484.
-23177.7
Work out -5 + 25733253266.
25733253261
What is -229731441 minus 25?
-229731466
Put together -4 and -197848.
-197852
Sum -8962 and -3607.59.
-12569.59
Work out -2 - -5771486807.
5771486805
What is -12.42394 minus 8.6?
-21.02394
What is the distance between 0.21 and -925923.335?
925923.545
What is 4574 + -16883?
-12309
What is -160688671 plus 89?
-160688582
Calculate -2.56 + 613.999.
611.439
17.2 - -1323510
1323527.2
What is 0.03 plus 6612859?
6612859.03
What is the distance between 17626 and 10370?
7256
Calculate -0.5028704 + -720.
-720.5028704
Calculate -62109 - -0.003328.
-62108.996672
What is -0.016704 minus 40925.5?
-40925.516704
What is 0.0432 less than 2454.18?
2454.1368
-15 - 16086070
-16086085
Calculate -0.5 + -19755.63.
-19756.13
What is the distance between 13 and 630995164?
630995151
-5 + -21665830532
-21665830537
0.390228 + -0.271
0.119228
Put together 5014178825 and 17.
5014178842
What is 25974 plus 7144?
33118
Subtract 31405553 from -0.44.
-31405553.44
Calculate -1961 - -9918009.
9916048
What is the difference between 4.44321825 and 4?
0.44321825
What is the distance between -31.7 and 31492?
31523.7
What is -72599188 - 1.031?
-72599189.031
What is 2344.74 minus 4910?
-2565.26
Total of -14.25 and -2062386.
-2062400.25
-602218.5 - -1
-602217.5
Work out -0.2 + 0.033710424.
-0.166289576
-0.4676 + 9.5
9.0324
What is -17 plus 32554?
32537
Sum 244 and 749.36.
993.36
What is -0.4 + -3649.0073?
-3649.4073
Sum 0.0430417998 and 182.
182.0430417998
Sum 5448831 and -36.7.
5448794.3
0.11+-0.049981097
0.060018903
Put together -955.3 and 894.
-61.3
Add -0.059177 and -487.2.
-487.259177
What is -122319.2 minus -5?
-122314.2
What is -61313.2045 minus 0.04?
-61313.2445
What is 0.3 take away 76895949?
-76895948.7
Work out 98444 + -138.67.
98305.33
Sum 91410671620 and 0.
91410671620
What is -0.23 + 306318079?
306318078.77
Total of -837 and -112544.
-113381
Sum -7880 and -3432.
-11312
What is the distance between 1.3710836 and 0 | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to 5/3 in -1/7, -0.9, 1?
1
Which is the nearest to -1? (a) -0.35 (b) -2/5 (c) -2/15
b
Which is the nearest to -119/5? (a) 1/6 (b) -24/11 (c) -2/17
b
Which is the closest to 2/15? (a) 2 (b) -4/13 (c) -1/5 (d) 4
c
Which is the closest to 1? (a) -15 (b) 5 (c) -0.1
c
What is the closest to 1 in 9, 412, -5?
-5
What is the nearest to -6 in -5, 3, -63, 2?
-5
What is the nearest to 0.1 in -2/3, -27, -0.2, 0.3?
0.3
What is the nearest to -2 in 0.3, 2/9, -3.52?
-3.52
Which is the closest to -1? (a) 0.5 (b) 3/4 (c) 4/9 (d) -13
c
What is the nearest to -0.3 in 3/8, -26, -0.3?
-0.3
Which is the closest to 2? (a) -2/151 (b) -0.5 (c) 0.2 (d) -3/4
c
Which is the nearest to -0.01? (a) -2/9 (b) 0.7 (c) -2/3
a
What is the closest to 0 in 2, -1/3, 1, 4/3?
-1/3
What is the closest to 13 in -5, 2, 0.2, 3?
3
Which is the nearest to -1/2? (a) 4 (b) -0.09 (c) -10
b
What is the closest to 2 in 1, -1/23, 0.3, 0?
1
What is the closest to -9.6 in 0, 2, 3/13?
0
What is the nearest to -3 in -0.4, -32, 5, 0?
-0.4
What is the closest to 0.07 in -0.263, 0.2, -4?
0.2
Which is the closest to 56? (a) -1 (b) -3/4 (c) 2
c
Which is the nearest to -1? (a) -13/5 (b) 2/9 (c) 3 (d) -2/9
d
Which is the closest to -1? (a) 2/7 (b) 29 (c) -4 (d) 0.09
d
What is the closest to -2.1 in -3, -0.5, 4, -3/5?
-3
What is the closest to -1 in -2/7, 20, 2/17, 2?
-2/7
Which is the closest to -2? (a) -2 (b) 6/11 (c) -5
a
What is the nearest to 3/7 in -2, -16, 0.2?
0.2
Which is the closest to -0.1? (a) -0.02 (b) 1/3 (c) 18
a
Which is the nearest to 0.1? (a) -4/7 (b) 4 (c) 0.1 (d) 3
c
What is the closest to 2/5 in -0.3, 8/5, 0.5?
0.5
Which is the closest to -0.2? (a) 3 (b) -3 (c) 0.13
c
Which is the nearest to -2/5? (a) -8 (b) -1 (c) 0
c
Which is the closest to 1/4? (a) -6 (b) -0.11 (c) 0
c
Which is the closest to -2/23? (a) 0.2 (b) -1 (c) 0 (d) 3/5
c
What is the closest to 2/5 in -3/4, 1.1, -2/3, -4/3?
1.1
Which is the nearest to -0.3? (a) 0.5 (b) -1/15 (c) 3/31 (d) 4
b
What is the nearest to 6/7 in -6, -0.11, 3, 1?
1
What is the nearest to 1/3 in -5, 0.1, 5, -2/5?
0.1
Which is the closest to 0.1? (a) -0.041 (b) 4/5 (c) -1/4
a
What is the closest to 2/7 in 4, -2, 3, 1/10?
1/10
What is the closest to 3 in -2, 17, 4/5?
4/5
Which is the closest to 2? (a) -3 (b) -5 (c) 2/9
c
Which is the nearest to 1.1? (a) 3 (b) 2/9 (c) -5 (d) -2
b
What is the closest to -1/3 in -7, -4/3, -21?
-4/3
Which is the nearest to 1/5? (a) 0 (b) 0.1 (c) -4 (d) -1/6
b
What is the closest to 0 in 3, 30, 1/89?
1/89
Which is the closest to 1? (a) 3 (b) -0.3 (c) 5 (d) 2/4453
d
Which is the closest to 0? (a) -0.3 (b) 0.4 (c) 99 (d) -20
a
What is the nearest to 8 in 4/9, 4, 3/14?
4
Which is the closest to 2/5? (a) 5 (b) -5 (c) -1/3
c
Which is the closest to -2/9? (a) 0.1 (b) -1 (c) -5 (d) 1
a
Which is the nearest to -0.0511? (a) -5 (b) 0.11 (c) 3/4
b
What is the closest to -3 in 1/4, 0, -1/5, -8?
-1/5
What is the closest to 0.1 in -0.2, 0, 1/16, -2/17?
1/16
What is the closest to 4/31 in 1, -10, 0?
0
What is the nearest to 980 in 1, 4, -0.5?
4
Which is the closest to -4? (a) 3 (b) 0.5 (c) -1/4
c
What is the closest to -1/3 in -2, 0.8, -0.2, -4?
-0.2
Which is the nearest to -24? (a) -13 (b) -5 (c) -0.4 (d) -2/11
a
What is the closest to -1/5 in -7, 1/3, 0.6?
1/3
Which is the closest to -0.1? (a) -21 (b) 0.02 (c) 0.1
b
Which is the closest to 0? (a) 2/11 (b) 3/2 (c) 3 (d) 0.3
a
Which is the nearest to -7? (a) 4 (b) -1 (c) -5 (d) 0.2
c
Which is the nearest to -4? (a) 30 (b) 1 (c) -4/3 (d) 1/3
c
Which is the nearest to -0.1? (a) -5 (b) 1/52 (c) -4/3 (d) 0.2
b
What is the closest to 13 in -2, 4, 6, -0.4?
6
What is the closest to 1 in -0.2, 4, 39?
-0.2
What is the nearest to -2 in -33, -0.2, -0.4?
-0.4
Which is the closest to -1/4? (a) -2 (b) 2/9 (c) -5/227 (d) 4
c
Which is the closest to -17? (a) -1/3 (b) -5 (c) 2/7
b
Which is the closest to 1? (a) -1/11 (b) 2/3 (c) -3
b
Which is the closest to -2? (a) 2/7 (b) 1/10 (c) -1.4
c
What is the closest to 0 in 0, -2/11, 9?
0
Which is the closest to 3? (a) -3/2 (b) -0.5 (c) -5
b
What is the closest to -1 in -2, 0.287, -5?
-2
What is the closest to -4 in 4, -4, 1/30?
-4
What is the nearest to -9/7 in 2/17, -0.3, 3, 4?
-0.3
Which is the nearest to -2/5? (a) 88 (b) -1 (c) -4
b
What is the closest to -1/15 in -3, -15, -4, 3?
-3
What is the closest to -4 in 4, 3, -5, 6?
-5
What is the nearest to -5 in 0.1, -3/7, 2/3, -5?
-5
Which is the nearest to -1? (a) 6 (b) -0.3 (c) -3/5 (d) -1/4
c
What is the closest to 10.4 in -5, -0.6, -4?
-0.6
What is the closest to 2/21 in -0.034, 4, -1/3?
-0.034
Which is the nearest to -4/5? (a) 0.5 (b) -1/2 (c) -2/5 (d) 5
b
Which is the closest to 2/19? (a) 5 (b) -3/7 (c) -0.2 (d) -1
c
What is the closest to -1/4 in -1, 3, -1.3, 0.4?
0.4
What is the nearest to -0.4 in 4, -5, 80?
4
Which is the closest to 3? (a) -1/8 (b) -1/4 (c) 0.4
c
Which is the nearest to 0? (a) 3 (b) -1 (c) 4 (d) 2
b
What is the closest to 1 in -2/7, 4, -2040/7, 5?
-2/7
Which is the nearest to 0.1? (a) 4 (b) -1.1 (c) -0.2
c
Which is the closest to 1/5? (a) 1/4 (b) 16 (c) -1/5 (d) 4
a
Which is the closest to 2/25? (a) 1 (b) 2/5 (c) -5
b
Which is the nearest to 26? (a) -3 (b) 2/7 (c) -0.3
b
What is the closest to -1 in 1.3, 2/15, -3, -3/2?
-3/2
Which is the nearest to -6? (a) 3 (b) -0.174 (c) -1
c
Which is the closest to -6? (a) -68 (b) 0 (c) 2/11
b
What is the nearest to -6 in -2/3, -6/11, -4/3, -1/5?
-4/3
Which is the nearest to 0? (a) 1/10 (b) 5 (c) -9/89
a
Which is the closest to -57? (a) -1/5 (b) -2 (c) 5
b
Which is the closest to -6? (a) -5/3 (b) -28 (c) -0.2 (d) -0.3
a
What is the closest to -2/5 in -4, -0.1, -2/61, -0.5?
-0.5
Which is the nearest to 5/2? (a) -0.5 (b) -2/3 (c) -11 (d) -2
a
What is the closest to 0 in 0, -1/4, -0.4, -1.7?
0
What is the closest to 0.1 in 2/9, -3/8, -2/41, 4?
2/9
Which is the closest to 1? (a) 3 (b) 51 (c) -2/3 (d) 0.1
d
What is the nearest to 285 in 12, 0.2, 0.1?
12
Which is the closest to 0? (a) 3 (b) -13/2 (c) -0.3
c
What is the nearest to -1/2 in 1, -0.004, -0.4, 4/25?
-0.4
Which is the nearest to 3? (a) 1.1 (b) 2 (c) 0.3
b
Which is the closest to -0.02? (a) -3 (b) 3/7 (c) -5 (d) 8
b
Which is the closest to -3? (a) -5 (b) 3 (c) 2 (d) 2/83
a
What is the closest to -1 in 2/9, 5, -0.1, 0.07?
-0.1
Which is the nearest to -0.2? (a) -5 (b) 0.2 (c) -17
b
What is the nearest to -2 in 4, -3/5, 12, 1?
-3/5
Which is the nearest to -57? (a) 0.3 (b) -1 (c) -3/5 (d) 0.5
b
What is the closest to -1/5 in -4, -31, 0.2, -1/4?
-1/4
What is the closest to 3/7 in -56, 0.5, -5, 2?
0.5
Which is the nearest to -2/5? (a) -2 (b) 1/5 (c) -8 (d) -5
b
What is the nearest to -0.021 in -2/3, -4, -0.1?
-0.1
What is the closest to 5 in 14, 1/2, 0.1?
1/2
What is the nearest to -1 in 24, -1/5, -68?
-1/5
What is the closest to -1 in 0.3, -2, -2/11, 5?
-2/11
What is the closest to 4 in -3, -4, -25/11?
-25/11
Which is the nearest to 3? (a) 0 (b) -5 (c) -0.1
a
What is the closest to -6 in -2/17, -2, -11.39?
-2
What is the nearest to 10 in -1, 0, -7?
0
What is the nearest to -0.2 in 1, 4, 11, 5?
1
What is the nearest to 1/2 in -0.3, 0.5, 3, 0?
0.5
Which is the nearest to 2/5? (a) -2/3 (b) 5 (c) 1
c
What is the closest to -1 in 0.1, -62/9, 3/11?
0.1
What is the nearest to 2 in -35.5, 5, 2/5, -0.5?
2/5
What is the nearest to 1 in -1, -2/7, -4/53, -0.1?
-4/53
Which is the closest to -1/4? (a) -0.5 (b) 1/16 (c) 1/11
a
What is the nearest to 0.3 in -2, -3, 0.5, -24?
0.5
Which is the closest to 1? (a) -0.81 (b) -1 (c) -3/4
c
What is the nearest to 2 in -0.2, -0.02, -4/3, 0.8?
0.8
Which is the nearest to -1? (a) -4/5 (b) 20 (c) -1/3 (d) 1
a
Which is the nearest to -3? (a) 1/41 (b) -4 (c) -4/5
b
Which is the nearest to 2/5? (a) -0.4 (b) -1 (c) -3 (d) -2/21
d
Which is the closest to -26? (a) 0.2 (b) -2/15 (c) 1 (d) 0
b
What is the nearest to -0.1 in 1.4, -4, -2/5?
-2/5
Which is the closest to -0.1? (a) -56 (b) 1 (c) -5 (d) -3
b
What is the closest to 0.2 in -1309, -4, 2/9?
2/9
What is the closest to 0.2 in 0.1, 50, -5, 0?
0.1
Which is the nearest t | {
"pile_set_name": "DM Mathematics"
} |
ainder when 964 is divided by 108?
100
Calculate the remainder when 865 is divided by 191.
101
Calculate the remainder when 27 is divided by 3.
0
What is the remainder when 3279 is divided by 81?
39
Calculate the remainder when 122 is divided by 41.
40
What is the remainder when 244 is divided by 81?
1
Calculate the remainder when 128 is divided by 12.
8
Calculate the remainder when 94 is divided by 33.
28
What is the remainder when 932 is divided by 107?
76
What is the remainder when 991 is divided by 71?
68
What is the remainder when 675 is divided by 26?
25
Calculate the remainder when 3649 is divided by 44.
41
Calculate the remainder when 570 is divided by 34.
26
Calculate the remainder when 583 is divided by 13.
11
Calculate the remainder when 1262 is divided by 16.
14
What is the remainder when 89 is divided by 45?
44
Calculate the remainder when 6292 is divided by 203.
202
Calculate the remainder when 255 is divided by 24.
15
Calculate the remainder when 214 is divided by 54.
52
Calculate the remainder when 5461 is divided by 13.
1
What is the remainder when 999 is divided by 50?
49
Calculate the remainder when 65 is divided by 31.
3
What is the remainder when 71 is divided by 3?
2
Calculate the remainder when 1373 is divided by 4.
1
Calculate the remainder when 223 is divided by 69.
16
Calculate the remainder when 625 is divided by 320.
305
Calculate the remainder when 990 is divided by 7.
3
What is the remainder when 279 is divided by 110?
59
Calculate the remainder when 7014 is divided by 23.
22
What is the remainder when 503 is divided by 23?
20
What is the remainder when 72 is divided by 19?
15
What is the remainder when 122 is divided by 16?
10
Calculate the remainder when 1058 is divided by 5.
3
What is the remainder when 1660 is divided by 207?
4
What is the remainder when 2476 is divided by 118?
116
What is the remainder when 34 is divided by 19?
15
What is the remainder when 173 is divided by 50?
23
Calculate the remainder when 76699 is divided by 130.
129
What is the remainder when 17 is divided by 5?
2
What is the remainder when 4481 is divided by 4468?
13
What is the remainder when 719 is divided by 20?
19
Calculate the remainder when 1794 is divided by 58.
54
Calculate the remainder when 312 is divided by 36.
24
Calculate the remainder when 83 is divided by 18.
11
Calculate the remainder when 7749 is divided by 228.
225
What is the remainder when 193 is divided by 65?
63
Calculate the remainder when 81 is divided by 17.
13
What is the remainder when 596 is divided by 10?
6
Calculate the remainder when 917 is divided by 27.
26
What is the remainder when 2272 is divided by 53?
46
What is the remainder when 25 is divided by 15?
10
What is the remainder when 1228 is divided by 16?
12
Calculate the remainder when 1281 is divided by 226.
151
Calculate the remainder when 15933 is divided by 249.
246
What is the remainder when 361 is divided by 13?
10
What is the remainder when 258 is divided by 29?
26
What is the remainder when 213 is divided by 67?
12
What is the remainder when 677 is divided by 22?
17
Calculate the remainder when 34 is divided by 12.
10
Calculate the remainder when 3594 is divided by 29.
27
Calculate the remainder when 133 is divided by 41.
10
What is the remainder when 12179 is divided by 116?
115
Calculate the remainder when 554 is divided by 40.
34
Calculate the remainder when 74 is divided by 4.
2
Calculate the remainder when 3827 is divided by 5.
2
What is the remainder when 142 is divided by 36?
34
What is the remainder when 145 is divided by 4?
1
Calculate the remainder when 10475 is divided by 62.
59
What is the remainder when 261 is divided by 85?
6
What is the remainder when 233 is divided by 125?
108
What is the remainder when 6438 is divided by 57?
54
What is the remainder when 146 is divided by 141?
5
What is the remainder when 197 is divided by 18?
17
Calculate the remainder when 104 is divided by 32.
8
Calculate the remainder when 95 is divided by 32.
31
What is the remainder when 100 is divided by 29?
13
What is the remainder when 1996 is divided by 18?
16
What is the remainder when 97 is divided by 10?
7
Calculate the remainder when 88 is divided by 64.
24
Calculate the remainder when 53 is divided by 4.
1
What is the remainder when 25 is divided by 17?
8
Calculate the remainder when 539 is divided by 134.
3
What is the remainder when 737 is divided by 102?
23
Calculate the remainder when 180 is divided by 13.
11
Calculate the remainder when 81 is divided by 28.
25
What is the remainder when 634 is divided by 163?
145
Calculate the remainder when 5692 is divided by 8.
4
Calculate the remainder when 10976 is divided by 90.
86
What is the remainder when 98 is divided by 19?
3
What is the remainder when 963 is divided by 46?
43
What is the remainder when 373 is divided by 86?
29
Calculate the remainder when 404 is divided by 29.
27
Calculate the remainder when 727 is divided by 56.
55
What is the remainder when 581 is divided by 221?
139
What is the remainder when 107 is divided by 105?
2
What is the remainder when 78 is divided by 21?
15
Calculate the remainder when 252 is divided by 53.
40
Calculate the remainder when 73 is divided by 21.
10
What is the remainder when 222 is divided by 2?
0
What is the remainder when 989 is divided by 306?
71
What is the remainder when 483 is divided by 174?
135
Calculate the remainder when 962 is divided by 88.
82
Calculate the remainder when 308 is divided by 52.
48
What is the remainder when 1766 is divided by 64?
38
Calculate the remainder when 536 is divided by 30.
26
What is the remainder when 1482 is divided by 364?
26
Calculate the remainder when 385 is divided by 97.
94
Calculate the remainder when 1171 is divided by 249.
175
Calculate the remainder when 15 is divided by 9.
6
Calculate the remainder when 143 is divided by 21.
17
Calculate the remainder when 313 is divided by 19.
9
What is the remainder when 1050 is divided by 1044?
6
Calculate the remainder when 137 is divided by 12.
5
What is the remainder when 39367 is divided by 10?
7
Calculate the remainder when 3964 is divided by 1320.
4
Calculate the remainder when 2483 is divided by 27.
26
Calculate the remainder when 1312 is divided by 13.
12
What is the remainder when 384 is divided by 16?
0
What is the remainder when 1275 is divided by 112?
43
Calculate the remainder when 9899 is divided by 36.
35
What is the remainder when 166 is divided by 15?
1
Calculate the remainder when 237 is divided by 17.
16
What is the remainder when 63 is divided by 35?
28
What is the remainder when 167 is divided by 28?
27
Calculate the remainder when 91 is divided by 18.
1
Calculate the remainder when 1720 is divided by 860.
0
What is the remainder when 404 is divided by 15?
14
What is the remainder when 715 is divided by 18?
13
What is the remainder when 431 is divided by 18?
17
Calculate the remainder when 6319 is divided by 49.
47
Calculate the remainder when 115 is divided by 13.
11
Calculate the remainder when 639 is divided by 37.
10
What is the remainder when 3363 is divided by 17?
14
Calculate the remainder when 93 is divided by 26.
15
What is the remainder when 139 is divided by 50?
39
Calculate the remainder when 228 is divided by 23.
21
Calculate the remainder when 1691 is divided by 113.
109
Calculate the remainder when 61 is divided by 32.
29
Calculate the remainder when 76 is divided by 17.
8
Calculate the remainder when 53 is divided by 33.
20
Calculate the remainder when 9 is divided by 3.
0
Calculate the remainder when 61 is divided by 34.
27
Calculate the remainder when 85 is divided by 32.
21
Calculate the remainder when 1538 is divided by 44.
42
What is the remainder when 100 is divided by 51?
49
What is the remainder when 409 is divided by 83?
77
What is the remainder when 335 is divided by 30?
5
Calculate the remainder when 6025 is divided by 31.
11
Calculate the remainder when 1958 is divided by 20.
18
Calculate the remainder when 1195 is divided by 559.
77
Calculate the remainder when 187 is divided by 88.
11
Calculate the remainder when 1135 is divided by 10.
5
What is the remainder when 203 is divided by 35?
28
Calculate the remainder when 226 is divided by 57.
55
Calculate the remai | {
"pile_set_name": "DM Mathematics"
} |
by 256?
218
What is the remainder when 390683 is divided by 188?
19
Calculate the remainder when 280886 is divided by 697.
692
What is the remainder when 10787 is divided by 3590?
17
Calculate the remainder when 567 is divided by 169.
60
Calculate the remainder when 129311 is divided by 1724.
11
Calculate the remainder when 57565 is divided by 389.
382
Calculate the remainder when 166723 is divided by 56.
11
Calculate the remainder when 22802 is divided by 76.
2
What is the remainder when 130469 is divided by 32617?
1
What is the remainder when 3612 is divided by 452?
448
Calculate the remainder when 1094944 is divided by 547472.
0
What is the remainder when 89458 is divided by 145?
138
What is the remainder when 1747 is divided by 293?
282
What is the remainder when 11420 is divided by 876?
32
Calculate the remainder when 40341 is divided by 74.
11
What is the remainder when 4714 is divided by 14?
10
What is the remainder when 6033 is divided by 15?
3
What is the remainder when 18158 is divided by 2267?
22
Calculate the remainder when 12787 is divided by 277.
45
What is the remainder when 26177 is divided by 8685?
122
What is the remainder when 4870 is divided by 196?
166
Calculate the remainder when 17640 is divided by 151.
124
What is the remainder when 21948 is divided by 1222?
1174
What is the remainder when 375343 is divided by 104?
7
What is the remainder when 977 is divided by 226?
73
What is the remainder when 646310 is divided by 64631?
0
What is the remainder when 1361484 is divided by 340370?
4
Calculate the remainder when 81 is divided by 51.
30
Calculate the remainder when 8189 is divided by 130.
129
Calculate the remainder when 30067 is divided by 33.
4
Calculate the remainder when 29062 is divided by 53.
18
Calculate the remainder when 31575 is divided by 789.
15
What is the remainder when 20056 is divided by 69?
46
Calculate the remainder when 559 is divided by 222.
115
What is the remainder when 4833 is divided by 93?
90
Calculate the remainder when 26111 is divided by 4350.
11
What is the remainder when 23057 is divided by 26?
21
What is the remainder when 9139 is divided by 21?
4
What is the remainder when 750 is divided by 651?
99
Calculate the remainder when 1176 is divided by 860.
316
What is the remainder when 210592 is divided by 5014?
4
What is the remainder when 548324 is divided by 101?
96
What is the remainder when 4255802 is divided by 217?
215
What is the remainder when 664 is divided by 205?
49
What is the remainder when 1753 is divided by 203?
129
Calculate the remainder when 16099 is divided by 70.
69
Calculate the remainder when 84236 is divided by 149.
51
What is the remainder when 602 is divided by 200?
2
Calculate the remainder when 40930 is divided by 1665.
970
What is the remainder when 8195 is divided by 50?
45
What is the remainder when 675 is divided by 22?
15
What is the remainder when 20172 is divided by 39?
9
What is the remainder when 350318 is divided by 20606?
16
What is the remainder when 39306 is divided by 2801?
92
Calculate the remainder when 47534 is divided by 3.
2
Calculate the remainder when 3649 is divided by 34.
11
Calculate the remainder when 17650 is divided by 1855.
955
Calculate the remainder when 2318 is divided by 3.
2
What is the remainder when 26770 is divided by 315?
310
Calculate the remainder when 1337894 is divided by 14.
12
Calculate the remainder when 135637 is divided by 63.
61
What is the remainder when 551 is divided by 61?
2
Calculate the remainder when 11649 is divided by 776.
9
Calculate the remainder when 67046 is divided by 18.
14
Calculate the remainder when 14399 is divided by 899.
15
What is the remainder when 585151 is divided by 8?
7
Calculate the remainder when 8186 is divided by 170.
26
Calculate the remainder when 128233 is divided by 309.
307
What is the remainder when 150894 is divided by 1677?
1641
Calculate the remainder when 5906 is divided by 1409.
270
What is the remainder when 44113 is divided by 2593?
32
Calculate the remainder when 362701 is divided by 302.
301
Calculate the remainder when 186313 is divided by 11.
6
What is the remainder when 30455 is divided by 216?
215
Calculate the remainder when 6872 is divided by 6758.
114
What is the remainder when 466304 is divided by 214?
212
Calculate the remainder when 298641 is divided by 162.
75
Calculate the remainder when 16570 is divided by 367.
55
What is the remainder when 1234 is divided by 430?
374
What is the remainder when 44608 is divided by 1652?
4
Calculate the remainder when 172592 is divided by 341.
46
Calculate the remainder when 74674 is divided by 9321.
106
Calculate the remainder when 1460 is divided by 294.
284
Calculate the remainder when 749931 is divided by 1181.
1177
Calculate the remainder when 265034 is divided by 6464.
10
Calculate the remainder when 73071 is divided by 24353.
12
What is the remainder when 9457 is divided by 4724?
9
What is the remainder when 2153 is divided by 7?
4
Calculate the remainder when 1451 is divided by 1347.
104
Calculate the remainder when 701560 is divided by 609.
601
Calculate the remainder when 55027 is divided by 27453.
121
Calculate the remainder when 45610 is divided by 126.
124
Calculate the remainder when 16485 is divided by 47.
35
What is the remainder when 8714 is divided by 80?
74
Calculate the remainder when 2189 is divided by 275.
264
Calculate the remainder when 3313 is divided by 26.
11
What is the remainder when 219673 is divided by 442?
441
What is the remainder when 1033 is divided by 107?
70
What is the remainder when 66157 is divided by 607?
601
What is the remainder when 20653 is divided by 73?
67
What is the remainder when 8160 is divided by 106?
104
Calculate the remainder when 15710 is divided by 212.
22
What is the remainder when 8453 is divided by 5?
3
What is the remainder when 30369 is divided by 99?
75
Calculate the remainder when 21165 is divided by 58.
53
What is the remainder when 12870 is divided by 65?
0
Calculate the remainder when 47236 is divided by 844.
816
Calculate the remainder when 3069 is divided by 32.
29
Calculate the remainder when 1017739 is divided by 168.
163
Calculate the remainder when 18445 is divided by 419.
9
Calculate the remainder when 731606 is divided by 8922.
2
What is the remainder when 230673 is divided by 1891?
1862
Calculate the remainder when 18123 is divided by 9.
6
What is the remainder when 12993 is divided by 811?
17
What is the remainder when 946 is divided by 183?
31
Calculate the remainder when 1910 is divided by 560.
230
What is the remainder when 2120 is divided by 96?
8
What is the remainder when 731 is divided by 119?
17
What is the remainder when 355 is divided by 115?
10
What is the remainder when 1032 is divided by 750?
282
What is the remainder when 10130 is divided by 13?
3
What is the remainder when 10313 is divided by 167?
126
Calculate the remainder when 251440 is divided by 45.
25
Calculate the remainder when 813 is divided by 411.
402
Calculate the remainder when 363835 is divided by 9.
1
Calculate the remainder when 29230 is divided by 406.
404
Calculate the remainder when 655 is divided by 12.
7
What is the remainder when 1153 is divided by 145?
138
What is the remainder when 17063 is divided by 5519?
506
Calculate the remainder when 531 is divided by 111.
87
Calculate the remainder when 16277 is divided by 16212.
65
Calculate the remainder when 7367 is divided by 205.
192
What is the remainder when 81110 is divided by 161?
127
What is the remainder when 2119 is divided by 141?
4
What is the remainder when 58945 is divided by 634?
617
Calculate the remainder when 68593 is divided by 11421.
67
Calculate the remainder when 26799 is divided by 400.
399
What is the remainder when 4669 is divided by 57?
52
What is the remainder when 57396 is divided by 205?
201
Calculate the remainder when 20840 is divided by 219.
35
What is the remainder when 1806 is divided by 130?
116
What is the remainder when 1432 is divided by 593?
246
What is the remainder when 9122 is divided by 27?
23
What is the remainder when 1890 is divided by 238?
224
What is the remainder when 109035 is divided by 31?
8
What is the remainder when 42220 is divided by 2?
0
Calculate the remainder whe | {
"pile_set_name": "DM Mathematics"
} |
4*a**2. Calculate g*k(b) + s*o(b).
4*b**3
Let h(f) = 40*f - 114*f + 1 + 36*f + 39*f. Let n(x) = -x. Calculate -2*h(r) - 4*n(r).
2*r - 2
Let l(h) = -2559*h**2 - 5*h + 6 + 2592*h**2 - 6. Let t(n) = 280*n**2 - 42*n. What is 42*l(j) - 5*t(j)?
-14*j**2
Suppose r - 42 = -13*r. Let b(p) = 3*p**2 - 3 - p**3 - 1 + 2*p + 2. Let z be b(r). Let t(n) = 6*n**2 - 9*n. Let l(d) = -3*d**2 + 4*d. What is z*t(k) + 9*l(k)?
-3*k**2
Let x(h) = 20*h**2 + 3*h + 12. Let q(y) = -21*y**2 - 3*y - 10. Calculate -6*q(w) - 5*x(w).
26*w**2 + 3*w
Let u be (0 + -4)/(6/(-6)). Let n(w) = 3*w**2 + 4*w + 5. Let q(v) = 4*v**2 + 3*v + 4. Give u*q(t) - 3*n(t).
7*t**2 + 1
Let i(o) = -309*o**2 + 3*o + 2. Let k(b) = 310*b**2 - 5*b - 3. Determine 6*i(h) + 4*k(h).
-614*h**2 - 2*h
Let o(g) = 5*g**2 + 3*g. Suppose 7 = -5*k + 92. Let l(y) = 3*y**2 + 5*y + k*y + 17*y**2 + 16*y**2. What is 6*l(m) - 44*o(m)?
-4*m**2
Let h(a) = 24*a**2 + 30. Let z(q) = -12*q**2 - 16. Determine -4*h(s) - 7*z(s).
-12*s**2 - 8
Let y(f) = 4*f**2 - 23*f - 35. Let r(s) = -s**2 + 5*s - 1. Determine 5*r(i) + y(i).
-i**2 + 2*i - 40
Let l(p) be the first derivative of 7*p**2/2 + 4*p - 50. Let t(w) = -8*w - 5. Let d(g) = -g**2 - 4*g + 1. Let r be d(-3). Give r*t(b) + 5*l(b).
3*b
Let i(m) = 347 - 156 - 24*m**2 - 188. Let u(q) = 49*q**2 - 7. Calculate -7*i(s) - 3*u(s).
21*s**2
Let u(a) be the first derivative of 8*a**3/3 - 7*a**2/2 + 7*a + 198. Let j(c) = c**2 - c + 1. Calculate -42*j(b) + 6*u(b).
6*b**2
Let l(q) be the first derivative of 7*q**3/3 + 2*q + 169. Let r(c) = 6*c**2 + 2. What is 3*l(n) - 2*r(n)?
9*n**2 + 2
Let a(x) = -9*x**3 + x**2 + 6. Let l(n) = 5 - n**2 - 8*n**3 - n**2 + 4*n**2 - n**2. Let u = -18 + 12. Give u*l(t) + 5*a(t).
3*t**3 - t**2
Let h(f) = -11*f**3 + 6*f**2 - 6*f + 6. Let i(o) = 37*o**3 - 25*o**2 + 25*o - 25. Let l(u) = -2*u**3. Let t(n) = i(n) - 4*l(n). Calculate -25*h(m) - 6*t(m).
5*m**3
Let y(j) = 120*j**2 + 45*j - 45. Let x(u) = -26*u + 11*u + 4 - 11*u**2 + 11*u. What is -45*x(n) - 4*y(n)?
15*n**2
Let w(g) = -8*g**2 + 3. Let x(a) = 6*a**2 + 909 + 11*a**2 - 916. What is -7*w(y) - 3*x(y)?
5*y**2
Let r(z) = 5*z**3 - z**2 + 7*z + 3. Let g(q) = 3*q**2 - q. Let k(s) = 3*g(s) + r(s). Let d(f) = 9*f**3 + 15*f**2 + 7*f + 5. Calculate 3*d(u) - 5*k(u).
2*u**3 + 5*u**2 + u
Suppose 0*n + 3*n = c + 7, 2*n + 4*c = 14. Let a(u) = -4*u + 5 - 53*u**n - u + 56*u**3. Let b(v) = -12*v**3 + 21*v - 21. Calculate -21*a(z) - 5*b(z).
-3*z**3
Let l(j) = -2*j + 1. Suppose -152 - 69 = -13*y. Let o(f) = -6*f + 2. Calculate y*l(w) - 6*o(w).
2*w + 5
Let i(m) = -47*m**2 - 18*m + 51. Let d(o) = 12*o**2 + 4*o - 13. What is 9*d(q) + 2*i(q)?
14*q**2 - 15
Let j(q) = -q - 4. Suppose -3*n - 15 = 3*t, -t + 0 = -4*n - 5. Let v = t + 6. Let c(m) = -m - 7. Give v*c(x) - 5*j(x).
2*x - 1
Let n(d) be the second derivative of d**3/2 - 2*d**2 + 250*d. Let m(p) = 5*p - 6. Calculate 5*m(u) - 7*n(u).
4*u - 2
Let b(z) = -10*z**3 - 13*z**2 + 13*z + 13. Let t(u) = -4*u**2 + 103*u**3 + 4*u**2 - 98*u**3 + 6*u**2 - 6 - 6*u. What is -6*b(l) - 13*t(l)?
-5*l**3
Let k(q) = -4*q**2 + 6*q - 1. Let y(o) = -2*o**2 + 3*o. Let m(l) = 3*k(l) - 5*y(l). Let s(i) = 1. Calculate m(n) + 3*s(n).
-2*n**2 + 3*n
Let n(i) = -3*i**3 + 7*i - 7. Let u(v) = -v**3 + 3*v - 3. Let a(s) = -s + 2. Let l be a(-2). Let k be (-4 + l + -7)*1. Determine k*u(o) + 3*n(o).
-2*o**3
Let r(m) = -7*m + 35. Let p be r(4). Suppose -i - p*i = 40. Let t(n) = -n**3 - n + 1. Let y(k) = -3*k**3 - 5*k + 6. What is i*t(d) + y(d)?
2*d**3 + 1
Let d(n) = -13*n**3 + 11*n**2 - 15*n - 3. Let f(l) = -l**2 - 36*l + 48. Let x be f(-37). Let h(t) = 7*t**3 - 6*t**2 + 8*t + 1. Calculate x*h(m) + 6*d(m).
-m**3 - 2*m - 7
Let n(o) = -o**3 + o**2. Let a(w) = 30*w**2 - 202*w - 35*w**3 + 202*w. Calculate -a(i) + 30*n(i).
5*i**3
Let l(z) = 1 + 97*z - 287*z + 94*z + 95*z. Let y(g) = -7*g + 9. Let i = -29 - -11. What is i*l(j) + 2*y(j)?
4*j
Let t(v) = -6*v**2 + 526*v + 10. Let w(g) = -g**2 + 106*g + 2. Give 3*t(p) - 16*w(p).
-2*p**2 - 118*p - 2
Let k(a) = -874*a**3 - 2*a**2 + 6. Let t(d) = -478077*d**3 - 1095*d**2 + 3285. Give 1095*k(l) - 2*t(l).
-876*l**3
Let s(v) = -8*v**2 - 2*v - 27. Let b(t) = -t**2 + 1. What is 5*b(l) - s(l)?
3*l**2 + 2*l + 32
Let b(d) = d**2. Let s = -78 - -87. Suppose 0 = s*z - 1 - 35. Let c(n) = -2*n**2 - n - 2. Determine z*b(l) + c(l).
2*l**2 - l - 2
Suppose 0 = -5*k + 14 - 44. Let u(s) = 1. Let n(w) be the second derivative of w**3/6 - w**2 + 999*w. Let x = -1 + -2. What is k*u(h) + x*n(h)?
-3*h
Let h = 4 + -7. Let s(x) be the third derivative of -x**4/24 + 2*x**2 + 514. Let m(n) = -2*n + 1. Give h*m(c) + 4*s(c).
2*c - 3
Let g(b) = -b**2 + 5*b - 7. Let r(f) = f**2 - 6*f + 6. Calculate -4*g(c) - 5*r(c).
-c**2 + 10*c - 2
Let t(o) = 11*o**3 + 7*o**2 - 7*o - 2. Let a(f) = -9*f**3 - 7*f**2 + 6*f + 2. Calculate -5*a(y) - 4*t(y).
y**3 + 7*y**2 - 2*y - 2
Let d(f) be the third derivative of 12*f**5/5 - 7*f**4/6 - 1021*f**2. Let j(l) = 16*l**2 - 3*l. Calculate 3*d(n) - 28*j(n).
-16*n**2
Let y(s) = s**2 - 5*s + 6. Let f(a) = a**2 - a + 1. Suppose -5*d + 4*x - 47 = 0, -d + 2 = 2*x + x. Let w be (0 - -1)*(-2 - 21/d). Determine w*y(h) - 3*f(h).
-2*h**2 - 2*h + 3
Let d(f) = 9*f**3 + 7*f**2 - f - 10. Let a(w) = -3*w - 13 - 12 + 6*w**3 + 2*w + 5*w**2 + 18. Give 7*a(i) - 5*d(i).
-3*i**3 - 2*i + 1
Let s(b) = 56*b**2. Let q(f) = 555*f**2 + 74*f. Let k(a) = 8*a**2 + a. Let l(w) = -74*k(w) + q(w). Give 8*l(r) + 5*s(r).
-16*r**2
Suppose 0 = k - 3*k. Let n = 782 + -780. Suppose k*a - 4 = n*a. Let d(v) = -13*v - 7. Let p(i) = -4*i - 2. Determine a*d(w) + 7*p(w).
-2*w
Let j(p) = -2*p - 3*p - 815 + 813. Let n(s) = 5*s + 2. What is -3*j(k) - 4*n(k)?
-5*k - 2
Let j(r) = 27*r**3 - 6*r**2 + 3*r + 14. Let g(s) = 28*s**3 - 5*s**2 + 3*s + 12. What is -6*g(a) + 5*j(a)?
-33*a**3 - 3*a - 2
Let g(c) = 8*c**2 + 5. Let f(s) = s**2 + s - 1. Let r(z) = 6*z**2 + 5*z - 4. Let h(n) = -5*f(n) + r(n). Determine g(o) - 6*h(o).
2*o**2 - 1
Let n(x) = -6*x**2 + 24*x + 5. Let r(t) = 3*t**2 - 13*t - 3. What is 4*n(i) + 7*r(i)?
-3*i**2 + 5*i - 1
Let j(o) = 116*o**3 + 4*o**2 + 5*o + 6. Let b(i) = -116*i**3 - 4*i**2 - 6*i - 7. What is -5*b(w) - 6*j(w)?
-116*w**3 - 4*w**2 - 1
Let g(i) = 5*i**3 - 7*i**2 + 11*i + 26. Let v(r) = -2*r**3 + 3*r**2 - 5*r - 13. What is 3*g(a) + 7*v(a)?
a**3 - 2*a - 13
Let z(y) be the second derivative of -2*y**3/3 - 3*y**2 + 7*y. Let v(g) = -g - 1. Determine -14*v(x) + 3*z(x).
2*x - 4
Suppose 0 = -2*o + 14 + 32. Let r = o - 19. Suppose v - 2 = -3. Let h(k) = -1. Let q(a) = -2*a**3 + 2*a - 1. Determine r*h(x) + v*q(x).
2*x**3 - 2*x - 3
Let i(d) be the first derivative of -11*d**4/4 - 4*d**3/3 - 5*d**2 - 7*d + 375. Let z(a) = 6*a**3 + 2*a**2 + 5*a + 4. Give -4*i(u) - 7*z(u).
2*u**3 + 2*u**2 + 5*u
Let w(d) be the second derivative of -2*d**2 + 2/3*d**3 - 11*d - 1/4*d**4 + 0. Let l(o) = -7*o**2 + 9*o - 9. What is 4*l(a) - 9*w(a)?
-a**2
Let g(v) = -v**2 - v - 2. Let i(t) = -9*t**2 - 5*t + 5. What is 5*g(b) - i(b)?
4*b**2 - 15
Let p(q) = 26*q + 124. Let g(n) = 2*n - 1. What is 12*g(j) - p(j)?
-2*j - 136
Let r(v) = v**2 + 11*v + 5. Let t(g) = -16*g**2 + 4*g - 4. Let k(m) = -7*m**2 + m - 2. Let n(u) = 7*k(u) - 3*t(u). Calculate 7*n(z) + 3*r(z).
-4*z**2 - 2*z + 1
Let h(g) = 7*g**3 - 3*g**2 - 5*g. Let v(b) = -4*b**2 - 246*b + 260*b - 20*b**3 + 9*b**2 + 3*b**2. Calculate -8*h(l) - 3*v(l).
4*l**3 - 2*l
Let s(f) = 9*f**2 - 16*f - 7. Let t(o) = -5*o**2 + 20*o + 16. Let m(l) = 2*l + 2. Let i(h) = -6*m(h) + t(h). What is -5*i(d) - 3*s(d)?
-2*d**2 + 8*d + 1
Let u(b) = 7*b**3 - 2*b. Suppose 0 = -3*d - d - 8. Let y = -25127 + 25128. Let r(t) = t**3 - t + 1. Give d*r(k) + y*u(k).
5*k**3 - 2
Let d(i) = 8*i + 1. Let o(c) = 2*c. Let h(b) = -2*b**3 - 11*b**2 + 5*b - 4. Let g be h(-6). What is g*d(q) - 9*o(q)?
-2*q + 2
Suppose -112 + 88 = -12*h. Let m(z) = -65*z**2 - 13. Let o(i) = -11*i**2 - 2. Determine h*m(f) - 13*o(f).
13*f**2
Suppose -4*k = 28 - 0. Let o = 51 - 55. Let d(p) = 5*p**2 + p + 1. Let x(c) = -9*c**2 - 2*c - 2. What is k*d(b) + o*x(b)?
b**2 + b + 1
Let x(k) = 5*k**2 - 14*k + 17. Let a(v) = -20*v**2 + 64*v - 67. Give 2*a(n) + 9*x(n).
5*n**2 + 2*n + 19
Let m(i) = -4*i. Let x(h) = h**3 + 2*h**2 - 2*h - 1. Let q be x(2). Let f(r) = 16 - 2*r + q - 27. What is -3*f(p) + 2*m(p)?
-2*p
Let w(z) = 110*z**3 - 10*z**2 + 4*z + 5. Let l(t) = 5 | {
"pile_set_name": "DM Mathematics"
} |
8 + 2561.6492. Let k = f + -10549688.000017. Let o = k + -41. Round o to 5 decimal places.
-0.00002
Suppose 3*m - 2*m - 7 = 0. Let v = -3 + m. Suppose 3*u - 41806 = 6*f - v*f, 10 = 5*u. What is f rounded to the nearest 1000?
-21000
Let h = 168.9 + -128. Round h to the nearest ten.
40
Suppose -6*w = 2*n - w - 9, -n + 2*w = 0. Let a be n - (-165)/(6/2). Let s be a*(3/9 + 0). What is s rounded to the nearest 10?
20
Let x = 5 - 3. Let n(y) = 7*y**2 - x - 6*y - 7 + 4. Let u be n(5). What is u rounded to the nearest 100?
100
Let w = 3.681 + -3.89099. Let r = w - -0.21. What is r rounded to 5 dps?
0.00001
Let s = -5 - -5.01. Let j = -0.01006 + s. Let m = j - 0. Round m to five dps.
-0.00006
Let p = 0.129 - 0.12. Let v = -51.991 - p. Let u = 52.0074 + v. What is u rounded to three decimal places?
0.007
Let i = 79.5 + -79.50001354. What is i rounded to six dps?
-0.000014
Let r = 6230 - -13546. Let s = r - 10476. Round s to the nearest one thousand.
9000
Let j = 3.75 - 239.75. Let m = -232.62 - j. What is m rounded to one dp?
3.4
Let h = 396 - 396.00000597. What is h rounded to 7 dps?
-0.000006
Let m = 74.0313 + -74. What is m rounded to two dps?
0.03
Let q = 28.19949 - 28.2. What is q rounded to 4 dps?
-0.0005
Suppose 0 = o - 1, 4*s - 3*o + 5 - 34 = 0. Suppose -1980000 = -5*m + s*m. What is m rounded to the nearest one hundred thousand?
-700000
Suppose 2*f = -5*d + 24114595 - 64974585, 0 = -f + 3*d - 20430006. Round f to the nearest 1000000.
-20000000
Let k = -0.24 - 17.76. Let p = -17.28 - k. What is p rounded to one dp?
0.7
Let o = 259.9999955 - 260. What is o rounded to 7 dps?
-0.0000045
Let u be (10/9)/(-5) + (-102060222)/(-27). Suppose 4*y - 3*y - 22 = -2*q, -34 = -3*y + 2*q. Let p be u/14 + (-8)/y. What is p rounded to the nearest 10000?
270000
Let k = -16.07 - -22.03. What is k rounded to the nearest integer?
6
Suppose -167269 - 4828477 = -h. Let n = -7895746 + h. Round n to the nearest 1000000.
-3000000
Let r(s) = -4687*s**3 + 12*s**2 + 66*s + 32. Let t be r(-16). Round t to the nearest 1000000.
19000000
Let z = -14642.80558 - 0.19442. Let s = -14623.0005 - z. Let x = s - 20. Round x to three dps.
-0.001
Let n = 366 - 347.3. Let f = -0.3 - n. Let d = f + 19.116. What is d rounded to two decimal places?
0.12
Suppose 0 = 9*h + 56796310 - 205116310. What is h rounded to the nearest one hundred thousand?
16500000
Let j = 1104.000000597 + -1104. Round j to 7 dps.
0.0000006
Let k = -3031 + 6263. Let s be (1 + 1)/1 - k/1. What is s rounded to the nearest 1000?
-3000
Let i(v) be the first derivative of 0*v + 0*v**2 - 7 - 2/3*v**3 + 32031/2*v**4. Let a be i(-4). What is a rounded to the nearest 1000000?
-4000000
Let b = 2566992 + -2566991.8770207. Let f = -0.123 + b. Round f to 6 decimal places.
-0.000021
Let x = -868 - -867.266. What is x rounded to 2 decimal places?
-0.73
Let g = -25.044 - -0.044. Let v = -25.00000016 - g. Round v to 7 decimal places.
-0.0000002
Let p = -5.051 - -0.031. Let o = p + 5.01999779. Round o to 7 dps.
-0.0000022
Let v(k) = 15*k**3 + 11*k**2 + 6. Let d(c) = 22*c**3 + 16*c**2 + 9. Let s(o) = -5*d(o) + 7*v(o). Let h be s(3). What is h rounded to the nearest 10?
-170
Suppose 5*t - 37 - 173 = 0. Suppose -t = q - 12. Let m be (1125/q)/(3/1040). Round m to the nearest 10000.
-10000
Let v = 0.068 + 40.332. Let i = -33 + v. What is i rounded to the nearest integer?
7
Let k(q) = -3519*q + 148. Let c be k(-8). What is c rounded to the nearest 10000?
30000
Let i(t) = 7*t - 6. Let r(n) = -n. Let z(y) = -i(y) - 6*r(y). Let v be z(6). Suppose v = 6*x - 10*x - 128000. Round x to the nearest ten thousand.
-30000
Let o = -22 - -28.76. Round o to the nearest integer.
7
Let a = -39.1 + 2.1. Let f = a - -37.00004. What is f rounded to five decimal places?
0.00004
Let s = 40.044 - -14.888. Let l = -0.068 - s. Let m = l - -55.000082. Round m to five dps.
0.00008
Suppose 5*s + 31 = -69. Let y = s - -28. Let n(c) = 1758*c**3 - 2*c**2 + 4*c. Let b be n(y). What is b rounded to the nearest 100000?
900000
Let u be 2/(-8) - (-18)/8. Suppose -457*x = -455*x - 1380000. Suppose u*w + w = -x. What is w rounded to the nearest one hundred thousand?
-200000
Suppose 0 = -2*d - h + 21, -8*d + 4*h = -3*d - 59. Let u(k) = 260*k + 10. Let p be u(d). Round p to the nearest 100.
2900
Let n = -454 + 97. Let m = n - -357.000239. What is m rounded to five dps?
0.00024
Let o = 652 + -651.997778. What is o rounded to 4 dps?
0.0022
Let v(c) = 2*c**2 - 9*c - 33. Suppose -5*g = -2*w - 46, 30 = -4*g + 8*g - 5*w. Let l be v(g). What is l rounded to the nearest ten?
80
Let a be (-5)/1*(-31632)/24. Round a to the nearest 100.
6600
Let y(t) = -264076*t**2 + 1. Let b be y(-1). Let u = -24309 + 59384. Let c = u + b. Round c to the nearest ten thousand.
-230000
Let k(g) = -5247*g**3 + 3*g**2 - 8*g + 10. Let z be k(-5). What is z rounded to the nearest one hundred thousand?
700000
Suppose -2*u = -4*t - 20002, 4*t + 15002 = t + 2*u. Let p = -93 - -92. Let c be (p + -219)/((-10)/t). Round c to the nearest 10000.
-110000
Let z = 1.9099987 + -1.91. Round z to 7 decimal places.
-0.0000013
Let f(c) = -52*c**3 + 3*c**2 + 7*c + 2. Let u be f(-6). What is u rounded to the nearest one thousand?
11000
Let g = 8.5 - 15. Let f = 7.619128 + -1.119182. Let k = f + g. Round k to five decimal places.
-0.00005
Suppose 0 = 2*o + 125184 - 24984. Round o to the nearest ten thousand.
-50000
Let d = -69.944 + 70. Let j = d - -17.544. Round j to the nearest ten.
20
Let x = -204 + 87. Let g = -117.00000047 - x. Round g to 7 decimal places.
-0.0000005
Let g = -0.031 + 0.031981. Round g to four decimal places.
0.001
Let k(c) = -7 - 192*c**3 + 4*c**2 + 2*c**2 - 11*c + 8 + 7. Let d = 9 + -1. Let y be k(d). Round y to the nearest 10000.
-100000
Let g = 172.8 - 272. Round g to the nearest integer.
-99
Let l = -5094002.81499937 + 5094031.815. Let t = 29 - l. Round t to 7 dps.
-0.0000006
Let y(k) = 4*k - 2. Let h be y(2). Suppose -2*m = -h*m. Suppose m = 4*q - 5*l - 7199985, -4*q + 4*l = -0*l - 7199988. Round q to the nearest one million.
2000000
Let r = -34.479 - -34.7. Let i = 147.29898 - 147.08. Let m = i - r. Round m to 4 dps.
-0.002
Let j(p) = -72*p**2 + 3*p + 1. Let x = -7 + 5. Let f be j(x). Let t = f - -193. What is t rounded to the nearest 1000?
0
Let d = 0.157392 - 0.1573. Round d to four decimal places.
0.0001
Let m = -33 - -38. Suppose 258000 = 11*l - m*l. Round l to the nearest 10000.
40000
Suppose -60*g + 58*g = 1162000. What is g rounded to the nearest 10000?
-580000
Let u = -11 + 10.9. Let z = u + 0.099. Round z to 2 decimal places.
0
Let j(b) = -34331*b - 289. Let h be j(-19). Round h to the nearest 100000.
700000
Let z = 529 - 528.99999412. What is z rounded to 6 decimal places?
0.000006
Let n = 1 - -9. Let g(r) = 10102*r - 20. Let q be g(n). What is q rounded to the nearest ten thousand?
100000
Let x be (-4)/18 + 7207/(-9)*-26. What is x rounded to the nearest 1000?
21000
Let y(r) = 4887*r - 17. Let b be y(21). Suppose -d = k + 2*d - 34215, -3*k - 2*d + b = 0. Round k to the nearest 1000.
34000
Let o = 1.14 + -0.04. Let l = 1.1000025 - o. Round l to six dps.
0.000003
Let c be 398915988/28 - (-33)/77. Round c to the nearest one hundred thousand.
14200000
Let m = -0.83 - -1.6. Let d = -0.77438 + m. Round d to three decimal places.
-0.004
Let l = -234186 - -234186.1099985. Let a = -0.32 + 0.21. Let g = a + l. Round g to six decimal places.
-0.000002
Let o = -2690872.8200001 - -2690911.82. Let d = 39 - o. What is d rounded to 7 dps?
0.0000001
Let x = -86.9 + 86.8998321. Round x to five dps.
-0.00017
Let k = 97 + -109.18. What is k rounded to 1 decimal place?
-12.2
Let n be (-289)/(-3) + 4/(-12). Suppose -g = g + n. What is g rounded to the nearest ten?
-50
Let s(w) = 36944*w**2 - 2*w - 7. Let r(p) = p + 1. Let b(d) = -5*r(d) - s(d). Let z be b(6). Round z to the nearest one hundred thousand.
-1300000
Let g = 3.697 - 3.54. Let l = g - 1.247. Round l to one decimal place.
-1.1
Let w(f) = 2*f + 41. Let x be w(-15). Suppose x*r = 16*r + 122000. Round r to the nearest one thousand.
-24000
Let a = 708073 - -603927. What is a rounded to the nearest ten thousand?
1310000
Suppose 5*f = -20, -3*h = -5*f - 1 - 1. Let t = 1 - h. Let k = -1 - t. What is k rounded to the nearest ten?
-10
Suppose -5*f = 2*r + 5 | {
"pile_set_name": "DM Mathematics"
} |
in -449, 5, -4?
-4
Which is the closest to -25? (a) -3/5 (b) 501 (c) 2/17
a
Which is the nearest to 1? (a) 0.4 (b) 0.16 (c) -3 (d) -2/15 (e) -2/63
a
What is the closest to -0.1 in 0.2, -34/7, -0.0674, 4?
-0.0674
What is the closest to 40 in -4/23, 6, -4?
6
Which is the nearest to 3? (a) 4 (b) 267/4 (c) -2/9 (d) 15
a
Which is the closest to -0.2? (a) -5/176 (b) 0.5 (c) -1 (d) 10 (e) 3
a
What is the nearest to 61 in 1, 118, -2?
118
Which is the nearest to 8/7? (a) -0.4 (b) 128.8 (c) -2
a
Which is the nearest to -2314? (a) 1/2 (b) -1 (c) 5 (d) -0.4
b
Which is the closest to 0.2? (a) 2/5 (b) 0.3 (c) 16 (d) -0.027
b
What is the nearest to -1 in -1/2, 2/15, 5, -3/8, -0.011?
-1/2
What is the closest to 25 in 0.5, -7, -0.1, -0.3?
0.5
What is the closest to -16/5 in -0.3, -13/152, 3?
-0.3
What is the closest to -105 in -5, 1/9, -0.82, -8?
-8
Which is the nearest to 0.1? (a) 0.01 (b) -2/15 (c) -1444 (d) -8
a
Which is the nearest to 2/31? (a) 0 (b) 3/7 (c) -5 (d) 3/233
d
Which is the closest to 1? (a) -4/3 (b) 765/157 (c) 10 (d) -2
a
What is the closest to 1/5 in 1/8, 10/9, -1/7?
1/8
Which is the nearest to -2? (a) -12 (b) -1.2 (c) -1 (d) 42
b
Which is the closest to 3? (a) -100 (b) -3 (c) 10 (d) 0.5
d
Which is the nearest to 239? (a) 5 (b) 5.01 (c) 2/13
b
Which is the closest to 1? (a) -28 (b) 7 (c) -2/9
c
What is the nearest to -4 in -0.2, 0, -39, -1/6?
-0.2
What is the nearest to 3/44 in -0.2, 3.6, 2, -2?
-0.2
What is the nearest to 0 in -1, -68, -22, 6?
-1
Which is the closest to 0? (a) 0.4 (b) -5 (c) 4/3 (d) 22 (e) 1
a
What is the nearest to -1 in 1/2, -4, 18, -2/7?
-2/7
What is the closest to -15/8 in -0.9, 1/3, -17, 2?
-0.9
Which is the nearest to 32213? (a) -0.4 (b) -4 (c) 3 (d) -0.2
c
Which is the nearest to -8/11? (a) -4 (b) -1 (c) 38 (d) 2 (e) -0.1
b
Which is the nearest to 0.2? (a) -2/10667 (b) 1/6 (c) 1/2
b
Which is the nearest to 2? (a) -0.5 (b) -2 (c) -2/49 (d) -5/3
c
Which is the nearest to -2.2? (a) 5 (b) 5/4 (c) 2/7 (d) 42 (e) -3
e
Which is the nearest to 2/5? (a) -725 (b) -1/4 (c) -5 (d) 198
b
What is the nearest to 30/5441 in 1/4, -0.03, 5?
-0.03
What is the nearest to 2/33 in 0.4, -5/3, -8?
0.4
Which is the nearest to 226? (a) 0.2 (b) -4/5 (c) -1 (d) 2/7 (e) -2/29
d
Which is the nearest to 1/131? (a) 156 (b) 5 (c) -1/7
c
Which is the nearest to 2157? (a) 0.036 (b) 2 (c) -4
b
What is the nearest to -323 in 6, -2/13, 0?
-2/13
Which is the nearest to 1? (a) 0.2 (b) -25/3 (c) -3/64
a
Which is the nearest to 2/3? (a) 0.5 (b) 0.2798 (c) -0.4
a
Which is the closest to -1? (a) 36/7 (b) -1 (c) -4 (d) -2/7
b
What is the closest to -2/5 in 0.5, 173, 0, 3/5?
0
What is the nearest to -0.18 in 0.5, -8/7, 171, -1/8?
-1/8
What is the nearest to 0.3 in 0.4, 1, -4, -1032, -4/7?
0.4
What is the closest to 1/2 in 3, 0.1, 4/9, 761, 4/7?
4/9
Which is the nearest to -0.22? (a) -2 (b) -2/46359 (c) -3/2
b
What is the nearest to 0.1 in -291, -1, 2/9, 1?
2/9
What is the nearest to 10 in -37, 0.7, 8, 0.1?
8
Which is the nearest to -2/5377? (a) 1/4 (b) -0.1 (c) -3/8
b
Which is the nearest to 0? (a) -0.4 (b) -4/13 (c) -3 (d) -19/2
b
What is the nearest to -0.17 in -5, 0.5, -2, -373, -0.4?
-0.4
Which is the closest to -1/2? (a) 3 (b) 40 (c) 1/2 (d) 3/4 (e) 19
c
Which is the closest to 0.3? (a) 13 (b) -2 (c) -3 (d) 67
b
What is the nearest to 2/3 in -137, 18, -0.2?
-0.2
Which is the nearest to -441/10? (a) 3.7 (b) -0.3 (c) 1
b
Which is the closest to 1? (a) -0.14 (b) 0.5 (c) -92 (d) 5
b
Which is the closest to -2? (a) 5 (b) 4 (c) 807.3 (d) 0
d
Which is the nearest to 0.22? (a) -84/5 (b) -4/7 (c) 5/4
b
Which is the nearest to 1? (a) -2/7 (b) 0 (c) -415/8 (d) 2/9
d
Which is the nearest to 0.14? (a) 7/3 (b) 4 (c) -43 (d) -5 (e) 1
e
Which is the closest to -1? (a) -6/11 (b) 0.2788 (c) 1/2 (d) -0.1
a
Which is the closest to -310/49? (a) -5 (b) -1 (c) -0.1
a
Which is the nearest to -3975? (a) -4 (b) 0.4 (c) -0.4
a
Which is the nearest to 2? (a) 0.053 (b) 0.4 (c) 0.5 (d) -0.6 (e) 1.6
e
What is the nearest to -1 in 0.2, 0.832, 1/4, -2/5, -5/4?
-5/4
Which is the closest to 1/4? (a) -8/13 (b) 1/3 (c) 4
b
Which is the nearest to 1? (a) -6 (b) 115 (c) -0.33
c
Which is the nearest to 4? (a) 74 (b) 4 (c) 2
b
Which is the closest to 1/36? (a) -0.8 (b) 3 (c) 2.3 (d) -0.3
d
What is the nearest to -12/7 in 80, -4, 2, -0.07?
-0.07
Which is the nearest to -10? (a) 4/7 (b) -1 (c) 0.2 (d) 318/5
b
What is the nearest to -1 in -0.8, 319/5, 0.8?
-0.8
What is the closest to 0.3 in -15, -0.3, -162?
-0.3
What is the nearest to -2/3 in 3, -5, 2/3, 1, -0.07?
-0.07
What is the nearest to -32 in -0.3, -2/17, 3/31, 1/6, 1/9?
-0.3
What is the closest to 1.2 in 0.5, 5, -2/9, -3/4, -2/3?
0.5
Which is the closest to -68? (a) -2/23 (b) -24 (c) -1/3
b
What is the nearest to 0 in -2/7, 7453, -1?
-2/7
What is the nearest to 1 in -0.261, 5, 0, 1?
1
What is the nearest to -1 in -0.6, 0, -3, -7, 0.04?
-0.6
What is the nearest to 2/17 in 5/7, -3, 7, 3, -5?
5/7
What is the closest to 1 in -5, 0.015, -22, -2, 3?
0.015
What is the closest to 1/4 in -90, -1, -6/5, 5, -0.3?
-0.3
Which is the nearest to 0.3? (a) -0.5 (b) -40 (c) -25 (d) -6 (e) 1
e
What is the nearest to 1 in -1, 0.1, 4/2993, -0.1, -5?
0.1
What is the closest to 1 in -311, -0.4, -32, 0.5, -8?
0.5
Which is the nearest to -2/11? (a) 1/3 (b) 5 (c) -3/2 (d) -3 (e) 2/9
e
Which is the closest to 3/4? (a) -7 (b) 0.02819 (c) 7
b
What is the closest to -2 in 3, 0.088, -15?
0.088
What is the closest to -0.1 in -2/3, -3, -0.03, 0.13, -1/7?
-1/7
Which is the nearest to -0.1? (a) 4/5 (b) 29/8 (c) -4 (d) 7
a
Which is the nearest to 1? (a) -177 (b) -3 (c) 876 (d) -0.4
d
What is the nearest to 21 in -0.11, 1/5, 5/2, 2/3?
5/2
What is the nearest to -79 in 4, 1/2, 0.2, 2, 0.09?
0.09
Which is the nearest to -39? (a) -4 (b) -6 (c) 23
b
What is the closest to -2.013 in 7, 5/3, 1/6, -2/5?
-2/5
What is the closest to -2 in 18242, 4/7, -0.4, 1?
-0.4
Which is the closest to -9? (a) 0.3 (b) 24 (c) 4 (d) -1/21
d
Which is the nearest to 1? (a) 14 (b) -0.04 (c) 2/117
c
Which is the nearest to -1/4? (a) -3975.4 (b) 0.1 (c) -3
b
What is the nearest to 0.1 in -3/4, -0.001, -1/8, 11, 0.5?
-0.001
What is the nearest to -0.01 in -2, -9, -6, -7/6, -2/7?
-2/7
Which is the closest to -1? (a) 508.9 (b) 3 (c) -2 (d) 1
c
Which is the nearest to 1/10? (a) -4 (b) -0.4 (c) -4/9 (d) -0.3
d
What is the closest to 0.04 in 24, 94, -0.5, -0.2?
-0.2
Which is the closest to 0.5? (a) 2 (b) 0.2 (c) -5 (d) 1/4 (e) 5
d
What is the closest to -1985 in -6, 2/9, 5?
-6
Which is the closest to -6? (a) -37/3 (b) 2 (c) -188 (d) 1
a
Which is the closest to 2/149? (a) -19 (b) -3 (c) 0.9 (d) -5
c
Which is the closest to -0.04? (a) -1/3 (b) -0.5 (c) 4821
a
Which is the closest to 1? (a) 3 (b) 13963 (c) 2 (d) 0.9
d
Which is the closest to 0.3? (a) 3 (b) 4/3 (c) -3 (d) -632
b
What is the nearest to 9611 in 0.3, -0.3, 11/2?
11/2
Which is the nearest to 11.9038? (a) 1/7 (b) 0.1 (c) -1
a
What is the closest to 0.4 in 28/5, 11, -0.3?
-0.3
What is the nearest to 0 in 2, -2/21, -376, 1/2?
-2/21
Which is the closest to -4/25? (a) -4 (b) 4 (c) -1.7 (d) 2/13
d
Which is the closest to 9? (a) -4/7 (b) 0.5 (c) -13 (d) 0
b
Which is the closest to 0.1? (a) -1 (b) -2 (c) 2 (d) 0.0289 (e) 3/5
d
Which is the closest to 1.5? (a) -5 (b) 327 (c) -3
c
What is the closest to -3/7 in -99, 1.2, -2/15?
-2/15
What is the closest to -32 in -0.05, 19, 1/3, -0.4?
-0.4
Which is the closest to -1.8? (a) -5 (b) -48 (c) 0 (d) 60
c
Which is the nearest to -72? (a) 0.2 (b) -0.1 (c) 33/65
b
Which is the nearest to 2? (a) -0.2 (b) -2/369 (c) -8 (d) -5
b
Which is the closest to -0.1? (a) 3 (b) -0.2 (c) -1160 (d) -3/2
b
Which is the closest to 0.041266? (a) -2 (b) -0.5 (c) -2/7
c
Which is the nearest to 2? (a) -0.31 (b) 2 (c) 1
b
Which is the closest to -1357? (a) 8 (b) 0 (c) 4 (d) -0.2
d
What is the closest to -1/4 in 43.4, 4, -5/2, -4?
-5/2
Which is the closest to 14/15? (a) 4/5 (b) -7/6 (c) 51/11
a
What is the nearest to 2 in -4, -2, 1410?
-2
Which is the n | {
"pile_set_name": "DM Mathematics"
} |
= x + 1. Let t = 6 + -2. Let b be z(t). Give a(b).
6
Let v(u) be the second derivative of -u**3/3 - 2*u**2 - u. Let t = 155 + -152. Calculate v(t).
-10
Let v = 31 + -37. Let h(d) = -d**3 - 6*d**2 - 6. Calculate h(v).
-6
Let r(q) = -9*q**3 - q - 1. Let b be (6/9)/((-6)/(-27)). Suppose 4*h - b = -11. Let t = -3 - h. What is r(t)?
9
Let w(y) = -y**2 - 4*y - 2. Let v(a) = -a - 5 + 3*a**2 + 0 + 4. Let p be v(-1). Suppose p*t + 17 = -5*r, -2*r - 2 = 2*t + 4. Calculate w(r).
-2
Let v(h) = h - 6. Let q(i) = -i**3 - 5*i**2 + 7*i + 9. Let j = -14 + 8. Let m be q(j). What is v(m)?
-3
Let d(b) = -7*b**2 - 5*b + 5. Let m(f) = 15*f**2 + 10*f - 11. Let p(i) = -13*d(i) - 6*m(i). Determine p(-7).
15
Suppose 3*p - 2*q + 18 = 0, 2*q = 5*p - q + 29. Let k(y) = -2*y - 3. Give k(p).
5
Suppose 2*f - 3*f = -2. Let m(t) = 1 - 1308*t - 4 + 1310*t. What is m(f)?
1
Let z(i) = -6*i**2 - 1 + 2 + 5*i**2 - 6*i - 3. Let o = -4 + 7. Suppose 2*p - o*p - 4 = 0. Determine z(p).
6
Let g(y) be the first derivative of -y**3/3 + y**2 + 3*y - 4. Determine g(4).
-5
Let d(o) = o - 3. Let s be (6/(-4))/(9/(-240)). Suppose 1 = z + 2*k, z - 5*z + k = -s. Suppose -x = -4*x - z. Calculate d(x).
-6
Let a(i) = 4*i**2 - 3*i**2 + 7 + 0. Suppose -5*r = -8*r. Suppose -4*p - 2*p = r. What is a(p)?
7
Let o(k) = -k**2 + k. Let y be o(0). Let v(u) = u**2. Let x(s) = 2*s**2 - s - 1. Let n(h) = 3*v(h) - x(h). Determine n(y).
1
Let a(h) = 6*h - 44. Let g be a(6). Let l(v) = v + 1. Let y(w) = -5*w + 3. Let c(u) = -6*l(u) - y(u). Let r be c(g). Let t(p) = -7*p + 1. What is t(r)?
8
Let k be -2 - ((-15)/1 + -1). Let n be -2 + 0 + k/2. Let o(m) = m - 4. What is o(n)?
1
Let g(f) = f**2 - 4*f - 10. Suppose 0*h + 4*h = 0. Suppose -3*t - 2*a + 11 = h, -4*t + 3*a - 20 = -9*t. Determine g(t).
11
Suppose 0 = -0*c - 2*c - 5*l + 15, 5*c - 4*l + 12 = 0. Let h be (-2)/2 + -1 - c. Let m(r) = 0*r - 3*r - 1 - 2*r**2 + 5*r**2 + r**3. Determine m(h).
9
Let k(r) = r + 6. Let j = 94 + -94. Calculate k(j).
6
Let g(z) = -z + 1. Let i(u) = 2*u - 14. Let k(q) = 3*g(q) + i(q). Let r = -61 - 31. Let a be r/20 - (-2)/(-5). Give k(a).
-6
Let r(s) = s**3 - 10*s**2 - s + 8. Let v be r(10). Let q(l) = -l**3 + 2*l + 3. Let j be q(v). Suppose 15 = -4*u + j. Let a(w) = -2*w**2 - w + 1. Determine a(u).
-5
Let v(p) = 8 - 7 + 0*p - 2*p. Give v(2).
-3
Let x(u) = u**3 + 3*u**2 - 4*u - 4. Suppose -5*a + 72 = -a. Let c = 14 - a. Determine x(c).
-4
Suppose 2*y - 5*x + 33 = 0, 3*y - 4 + 1 = -3*x. Let t(a) = -a**2 - a + 1. Let z(b) = 3*b**2 - 2*b - 10. Let n(f) = 5*t(f) + z(f). Calculate n(y).
-9
Let o(f) = 5*f**2 + 2*f + 1. Let g(s) be the second derivative of s**5/20 - 5*s**4/12 + s**3/6 - 3*s**2 + 2*s. Let p be g(5). Calculate o(p).
4
Let p be 55/(-30) + 2 - (-74)/(-12). Let v(r) = r + 4. Give v(p).
-2
Let k(w) be the first derivative of w**5/60 - 5*w**3/6 + w**2/2 - 2. Let t(a) be the second derivative of k(a). What is t(0)?
-5
Let r be (1*2/2)/1. Let j(s) = -3*s**2 - s + 1. Let f(i) = -4*i + 1. Let d be f(-1). Let a(b) = -b**3 + 5*b**2 + 2*b - 2. Let g(n) = d*j(n) + 3*a(n). Give g(r).
-3
Let a(n) = 3*n**3 - 10*n**2 - 7*n - 7. Let y(k) = -k**3 + 5*k**2 + 3*k + 4. Let c(o) = 2*a(o) + 5*y(o). Determine c(-5).
1
Let s(u) = -u**3 + 3*u**2 - 2*u + 2. Let c be s(2). Let d(p) = 2*p - c*p**2 + 6*p**2 + 5*p - 5*p + 1 + p**3. Give d(-4).
-7
Let g(x) = 0*x - 2*x**2 - 5 + 3 + 2*x. Suppose -2*u = 8, 2*i + 10 = -i - u. Let j be (-1)/(i/4 + 0). What is g(j)?
-6
Let c(g) = 8*g**3 + 2*g**2 - 1. Suppose 0 = -3*r + 2*i + 5, 0 = 4*r - 6*i + 2*i - 8. Give c(r).
9
Let k(r) = -3*r**3 - r**2 + 3*r + 6. Let o(q) = -q**3 + q + 1. Let a(f) = -k(f) + 4*o(f). Suppose 4 = 3*s - 2. What is a(s)?
-4
Let u(j) = -j. Let w(p) = -p + 1. Let y(t) = u(t) - 2*w(t). What is y(-5)?
-7
Let x be 2/(3*4/(-30)). Let p = x + 4. Let a(o) = 6*o**3 - o**2 - 2*o - 1. Determine a(p).
-6
Let w(i) = 2*i**3 + 14*i**2 + 13*i - 1. Let h(z) = 5*z**3 + 40*z**2 + 38*z - 2. Let j(q) = -3*h(q) + 8*w(q). Calculate j(9).
-11
Let x(p) = -p**3 - 5*p**2 + 4*p - 10. Let k be x(-6). Let i(r) = -3*r - 1. Give i(k).
-7
Let y = 25 + -18. Let n(x) = -x**2 + 7*x - 3. What is n(y)?
-3
Let v(w) = w - 4*w**3 - 3*w**3 - 5*w**3. What is v(1)?
-11
Suppose -3*s + 21 = c, 0 = 5*c + 4*s - 40 - 21. Let h be (-1 - -17)*c/18. Let n(y) = y - 9. Calculate n(h).
-1
Let l(x) = 35*x**3 + 2*x**2 + 1 - 36*x**3 - 4 + 3*x. Give l(3).
-3
Let n(v) be the third derivative of -v**4/24 - v**3/6 - 11*v**2. Determine n(-3).
2
Let p(l) = -l. Let q be 15/(-6)*(-6)/3. Give p(q).
-5
Suppose j - 5*j = -8. Let n be j*(0 + 0 + -3). Let b(s) = -s**2 - 7*s - 3. Determine b(n).
3
Let j(m) = -4*m**2 + 5*m + 1. Let t(r) = -r**2 + r. Let p(u) = -j(u) + 5*t(u). Give p(-1).
-2
Let y be (-2 + 3)/(1/2). Let n(d) = d**2 + 4 + 0*d - 9*d + 0*d + y*d. Determine n(5).
-6
Let x(k) = -k**3 - 3*k**2 + k - 1. Let y be -1*4 + (-21 - -23). Give x(y).
-7
Let y(l) = l**2 - 4*l + 2. Let z be y(4). Let n(j) = 4*j**2 + 0 + 3 - 4 + j + 2*j**z. Give n(1).
6
Let o(j) = -j**2 - j + 1. Let k(s) = 4*s**2 + 9*s - 5. Let l(v) = -k(v) - 3*o(v). Let g be l(-6). Let r(m) = m**3 + m**2 - 2*m. Calculate r(g).
8
Let o(q) be the first derivative of q**5/60 - q**4/12 - q**3/2 + 5*q**2 + 9. Let u(f) be the second derivative of o(f). Give u(3).
0
Let o be (-4)/10 - 6/(-15). Let z(t) = -1 + t + o*t - 1. Let b be ((-4)/6)/(2/(-15)). Determine z(b).
3
Let s(o) = o**3 - 5*o**2 - 2. Suppose -6*c + 4*c - 2 = 0. Let x be (6 - -2) + 3*c. What is s(x)?
-2
Suppose 3*d - 12 = -d. Let p(w) = -5*w**2 + 2. Let y(r) = 11*r**2 - 4. Let a(o) = -9*p(o) - 4*y(o). Determine a(d).
7
Let r(n) = -2*n**2 - 15*n - 6. Let l be r(-7). Let k(a) = 5*a + 3. Let z(g) = -6*g - 4. Let f(y) = -3*k(y) - 2*z(y). Give f(l).
-4
Let g(f) = 8*f + 6. Let x(n) = -15*n - 11. Let v(c) = -11*g(c) - 6*x(c). Give v(-1).
-2
Let n(i) = 12*i**2 + 5*i. Let k(a) = 13*a**2 + 6*a. Let y(g) = 5*k(g) - 6*n(g). Calculate y(1).
-7
Let s(o) be the third derivative of -o**5/60 + o**3/3 + 12*o**2. Give s(-2).
-2
Let g(v) be the second derivative of v**3/6 - v**2/2 + 2*v. Let z be g(0). Let q(j) be the first derivative of -2*j**2 - j - 4. Calculate q(z).
3
Let t(q) = 5*q + 2. Let z = 14 - 17. Let f(d) = 6*d + 3. Let g(b) = z*f(b) + 4*t(b). What is g(-1)?
-3
Let d(b) = b**3 - 3*b**2 - 3*b + 1. Let o be d(4). Let x(z) = 4 - 4*z + 7*z - 6*z + 4*z. Calculate x(o).
9
Let s be ((-10)/(-12) + 0)*6. Let i(o) = -o**2 + s*o - 5*o - 5*o**3 + 1. Let v(y) = -y - 1. Let a be v(-2). What is i(a)?
-5
Let q(w) = 2*w - 1 + 0 - 1. Determine q(3).
4
Let g(b) = b**3 - 4*b**2 - 7*b + 7. Suppose 7*w - 4 = 6*w. Suppose w*k = 2*j + 12, 3*j - 7*j + 11 = -k. Determine g(k).
-3
Let o(z) = -9*z - 15. Let a be o(-2). Let f(q) = -4*q + 3*q**2 - 2*q**2 - 2*q**2 + q**3. Determine f(a).
6
Let t(z) = -z**3 + 7*z**2 - 6*z - 6. Let p = 47 + -42. Determine t(p).
14
Let y(z) be the second derivative of z**3/6 + z**2/2 + 21*z. Give y(2).
3
Let b(a) = a**3 + 5*a**2 - 6*a - 7. Let m(h) = -h**3 + h**2 - h + 3. Let o be m(0). Let f be 1/(o - 76/24). Calculate b(f).
-7
Let q(c) be the second derivative of 5*c**4/12 + c**3/6 + c. Determine q(-1).
4
Let i(c) = c**3 + 6*c**2 - 7*c - 6. Let a be 2/(-3) - 14/(-21). Let r be (22 - 8)/(-2 - a). Determine i(r).
-6
Suppose 2*s - 6*s - 22 = -3*l, -2*l = s - 22. Suppose -y - l = 4*y. Let i be (3/5)/(y/(-10)). Let o(b) = -2*b**2 + 3*b + 2. Determine o(i).
-7
Let u(r) = r**2 + 4*r + 3. Suppose -10 = -4*j - 30. Give u(j).
8
Let x(z) be the third derivative of -z**9/60480 - z**8/6720 + z**7/1680 + z**6/144 - z**5/30 + 3*z**2. Let h(a) be the third derivative of x(a). Give h(-4).
9
Let g(l) = -l + 6. Suppose 3*n = -3*r + 24, 2*r - 26 = -6*n + 2*n. Suppose n*c - 96 = c. Suppose 2 = -v, 0 = 5*w - 4*v - 57 + c. What is g(w)?
1
Let b(u) be the third derivative of u**6/120 + u**5/30 - u**4/8 - u**3/6 - 3*u**2. Let q be b(-3). Let m(v) = 2 - v - 4*v**2 + 0 - 3. Give m(q).
-4
Suppose 0 = -2*h - 2*v + 10, -11 = 2*h + v - 6*v. Let s(d) = -d + d - d**h. Determine s(2).
-4
Suppose -8 = -2*u - 0. Suppose 5*s - 5*o + 1 = -u, 5*o - 20 = 0. Let p(a) = a + 1. What is p(s)?
4
Let b(d) = 3*d**2 + 7*d + 3. Let i(l) = 5*l**2 + 11*l + 4. Let w(u) = -8*b(u) + 5*i(u). Let n = 84 + -81. Calculate w(n).
2
Let o(p) = p - 4*p**2 - 3*p**2 + p**2 - 2*p**2. Let n(k) = k**2. Let h(a) = 4*n(a | {
"pile_set_name": "DM Mathematics"
} |
8*q - 1. Let r be p(-8). Let o be (0 + -3)*10/30. Which is the nearest to r? (a) -26 (b) 1 (c) o
c
Let l be (4/(-8) + (-11)/(-110))*5/2. Which is the nearest to -10/7? (a) -4 (b) 2 (c) 2.7 (d) l
d
Let d(v) = -v**3 + 4*v**2 + 2*v - 4. Let h be d(5). Let w be 0*(-20)/(2240/28). Which is the closest to 3/2? (a) h (b) w (c) 0.2
c
Let c = 9 + -11. Let k(s) = s**2 + 8*s - 16. Let z be k(-10). Suppose 4*o = z*o - 4*o. What is the nearest to o in c, 0.1, -0.4?
0.1
Let r be 44/(-286) + 30/104*4. What is the nearest to r in 1, 5, 3, -2/29?
1
Let y = -3676.06 - -3676. What is the closest to -2/9 in 7, y, 1?
y
Let d = 67013/5 + -13403. Let m be 3 + -3 + 2/(-8). Which is the closest to -19? (a) m (b) d (c) 0.4
b
Let u = 0.16 + 13.84. Let k = u - 11.1. Let j = k + -2.5. Which is the closest to 0? (a) -5 (b) 4 (c) j
c
Let p be ((-684)/6156)/(2/(-12)). What is the closest to p in -0.257, -0.1, -12, -3?
-0.1
Let o = 547 - 547.015. Let s = o - 2.985. What is the closest to -2 in s, 3/5, -4, 1/4?
s
Let j = 1.5 + -2. Let d = 3/33086 + -66187/165430. What is the nearest to d in j, -2/21, 0.2?
j
Let f = 160/11 + -1142/77. Let m be 28/(-42) + ((-50)/33 - -2). Which is the nearest to m? (a) 2 (b) f (c) 4
b
Let j be (-338)/(-52) + 14/(-4). Suppose 4*s - 32 = v, -j*v - 2*s = 59 - 5. Which is the closest to 1/3? (a) -5 (b) 2 (c) 0.5 (d) v
c
Let t(h) = 9 - 6*h + 5*h - h. Let l be t(2). Suppose -3*r - l*a + 17 = 0, -r + 4 - 2 = -2*a. What is the nearest to -0.1 in -0.3, 0.5, r?
-0.3
Let i = -4420.5 + 4420. What is the nearest to -1/5 in 5, -1, i, -2/3?
i
Let j(d) = -d**3 + 2*d**2 + 575*d + 2. Let q be j(25). What is the closest to q in 0.5, -3, 0.15, 4?
0.5
Let j = -259.6 - -259.8. Let a = -0.2 - -0.1. What is the nearest to j in a, 2, -0.5, -0.4?
a
Let k be 6/5 + 0 + -1. Let c(b) = -b**3 - 12*b**2 - 13*b - 151. Let h be c(-12). Let x be (6/28)/((-3)/4). What is the closest to 0.5 in h, x, k?
k
Suppose -j = 4*i + 328 - 345, -5*i = 3*j - 37. Let w = -23/2 - -12. Let u = 2/31 - -25/93. What is the nearest to w in u, -4, i?
u
Let k = 7 + -7.06. Let m = 48/7 + -199/28. Let i = 1155 + -3467/3. What is the closest to i in m, k, 2/7?
m
Suppose -5*t - 45 = -2*t. Let b = 1 - t. Suppose -4 + b = -3*f. What is the closest to -3 in 0, 11, f?
f
Let c = -5042 - -5041. What is the closest to -2/15 in 19, -5, c, 4?
c
Let f = -23/308 - 3/44. Let s = -78290 - -78291. Let z be 32/(-66) - (-6)/9. Which is the nearest to s? (a) z (b) f (c) 0
a
Let q be 14/40 - 2/(-8). Let u = 1499 + -333. Let c = -1171 + u. What is the closest to 1/13 in c, -1/3, q?
-1/3
Let c = 7177/12 + -2395/4. Let u = -4.5 - -0.5. Let s be 9/(-3) - (-56)/18. What is the nearest to u in c, 4, s?
c
Let o = -5 + 6. Let p = -46 - -46.4. What is the nearest to 1 in 3, p, o?
o
Let d = -0.3808 - -287.8808. Which is the closest to d? (a) -1/10 (b) 4/7 (c) -1
b
Let j = 2054.5 - 2055. Which is the nearest to 2/5? (a) j (b) -162 (c) -5 (d) 0.3
d
Let x = -15414 + 15413.8. What is the closest to x in 0.4, 16/11, -0.5, -0.1?
-0.1
Let g = -68755/4 - -17189. What is the closest to g in -3/4, -28, 4/9?
4/9
Let i = 130231/347368 + 4/43421. Let l = 2 - 2. Let x = -15 - -11. What is the nearest to l in -0.4, x, i?
i
Let m = -7876.88 - -7733. Let d = 0.88 + m. Let u = 143.1 + d. What is the closest to u in -5, 3, -1?
-1
Let i = -0.469 + 0.266. Let p = 50.203 + i. Which is the closest to -2/7? (a) -3 (b) 4 (c) p
a
Let o be 7/2 + (-2278)/536. Which is the nearest to 1/3? (a) -2/47 (b) 0.4 (c) o (d) 4
b
Let k = 0.4 + -0.7. Let h be (4/(-19))/(-2) + ((-5880)/(-95) - 64). Let r = -4.09 - -0.09. What is the closest to -1 in r, k, h?
k
Let o = 2556/1105 - 158/65. Which is the nearest to o? (a) -1 (b) -2 (c) 2/29
c
Let o = -98.09 - -98.11. What is the closest to -1/3 in -3, o, 0, 7/19?
0
Suppose -15 = -48*g + 27 + 6. What is the closest to g in -2, 159/7, 3?
3
Let y be ((-22)/(-12) + (-1)/(-6))*-1. What is the nearest to y in 1/4, -134, 0.1?
0.1
Let q be 3/(-18)*(-8 + 9). Let l = -32.4 - 7.6. Let k = -35 - l. Which is the nearest to 0? (a) q (b) k (c) 1/9
c
Let x = 3 + 1. Let u = -6767.03 + 6801. Let d = -34 + u. Which is the nearest to -1? (a) 5 (b) d (c) x
b
Let r be (2 - 252/112) + (-81)/(-228). Which is the closest to -1? (a) r (b) 3/4 (c) -17.3 (d) 0.3
a
Let l be -2 - 108/(-56) - (3 - (-90)/(-35)). Which is the closest to 5/4? (a) -3/5 (b) l (c) 2
c
Let q = -0.021 + 41.021. Suppose 57*x - 209 = 1273. Suppose 5*s - x*s - 84 = 0. What is the closest to 0 in q, 4/7, s?
4/7
Let d(v) = -13*v - 1000. Let b be d(-77). Let y = 0.2 - 4.6. Let m = 0.6 - y. What is the closest to b in m, 1, 7?
1
Let a = -5.1513 - -0.1513. What is the nearest to 10 in -1/8, a, -0.1, 0.4?
0.4
Let b(z) = z - 15. Let h be b(14). Let x = 19.87 + -19.67. What is the closest to h in -3/2, -35, 0.1, x?
-3/2
Let b = -5.5015 - -1.5015. What is the closest to 69 in -29, 4, -0.2, b?
4
Let o = 30 + -30.3. Let k = o + -4.7. Suppose -2*u + s = 5, -3 = -10*s + 7*s. What is the closest to u in 2/7, k, -4?
-4
Let j(w) = w**3 - 28*w**2 + 107*w + 58. Let x be j(6). Which is the closest to -1? (a) x (b) 1 (c) 0.6
c
Let x = -74.641 - -0.941. Let p = 74 + x. Let c = 27 + -31. What is the nearest to 1 in -1/2, p, c?
p
Let x = -3.5818 - 1.4182. Suppose -4*n = k + 2*k + 10, -5*n + 2*k - 1 = 0. Let g = 1/10 + -23/30. Which is the nearest to g? (a) 0.1 (b) n (c) x
b
Let j = 2.1 + -2. Let m be (49/63)/((-42)/36). What is the nearest to -0.1 in 0.43, j, m?
j
Let d = 2879.5 - 2879. What is the nearest to 1/22 in -0.2, -4, d, 5?
-0.2
Let v = 16157 + -16156.7. Let w = 3/28 - -1/7. Which is the closest to v? (a) w (b) -6 (c) 0.5
a
Let u = 223 - 1557/7. Let k = 2802 + -2801.87. Which is the nearest to -1? (a) -0.2 (b) k (c) u (d) 0.1
a
Let x be (11 + 2416/(-208))/(18/(-39)) - 2. Let d be (-30)/(-56) - 2/7. Which is the closest to -2/17? (a) d (b) x (c) -1
a
Let f = -11.2 - -11.3. Let b = 48.42 - 0.42. Let h = b - 47.8. What is the closest to f in h, 4, -6?
h
Let z be ((-21)/84)/(1/2). Let v = -3.3 + 0.1. Let k = v - -3. Which is the nearest to z? (a) k (b) 2/11 (c) 4
a
Let u = 0.06 + 2.94. Let h = 10 - u. Let s = 1.2674 - 1.4674. Which is the closest to -2? (a) -0.1 (b) h (c) s
c
Let w = 207/119 - 13/7. Let g = -324 - -323.8786. Let f = -3.1214 - g. What is the closest to -2/7 in w, f, -0.4?
-0.4
Let s = 793.3 - 793. Which is the nearest to 1? (a) -25 (b) 4/5 (c) 8 (d) s
b
Let r = 9934.2 - 9934. Which is the nearest to -172? (a) -2 (b) 4 (c) r
a
Let w = 0.016 + 2.984. Let m = -358 + 359. Let p = 1 - 3. Which is the closest to -0.4? (a) p (b) m (c) w
b
Let l = 1.99907 - -0.00093. Let z = -22 - -25.4. Let m = 0.6 + z. What is the nearest to 1/3 in l, m, 31?
l
Let y be (-1135)/106*141/6110. Let p = y - 2/689. Let z = -1.2 + 0.2. What is the closest to 0 in -0.1, p, z?
-0.1
Let v = 4867/300 + 11/100. Let h = v + -15. Let u = 29.3 + -28.3. What is the closest to 1/10 in 2, h, u?
u
Let m = 739/1560 - 23/312. Let y = 8.3 - 8. Which is the nearest to -0.2? (a) 4 (b) y (c) m
b
Let o = 6/91 + -236/819. Let p = 0.1 - -1.9. Let f = -193414.7 - -193415. Which is the nearest to f? (a) -1 (b) o (c) p
b
Let y(w) = w**2 - 3*w - 2. Let p be y(0). Let f be p/10 - 108/90 - -1. Which is the closest to -2? (a) -5 (b) f (c) -0.1
b
Let k = -2.5 + 0.5. Let d = 29540.5 - 29540. What is the closest to -0.1 in -2/13, d, -0.5, k?
-2/13
Let r = 88 - 93. Let h(k) = -2*k - 5. Let m be h(8). Let t be 344/28 - (-6)/m. Which is the closest to 1? (a) 2/13 (b) t (c) r
a
Let d = 0.7 - 0.2. Let b be -4 + (2/20)/(22/825). Let u = 4.3 + 0.7. What is the closest to 2/5 in u, d, b?
d
Let n = -0.623 + 1.216. Let f = n - -6.407. What is the nearest to -0.1 in 4, 3/2, -3, f?
3/2
Let q = 0.012 - -29.988. Let t = 53.7 + -21.2. Let p = q - t. What is the closest to -1 in -5, 4, p?
p
Let k be (8/(-54))/((-4)/6). Let g = 1/1691 - -3379/5073. Which is the closest to 0? (a) g (b) 1 (c) k
c
Let h = 796 + -783. Which is the closest to 0.1? (a) -0.3 (b) 1 (c) 0.8 (d) h
a
Let j = -8.6 - -8. Let w = -10.4 - -5.4. Let q = -1.7 + 1.5. Which is the closest to -0.2? (a) j (b) w (c) q
c
Let p = 0.15 + -5.15. Let c = -21 + 21.1. Let z = 108.6 + -107.6. What | {
"pile_set_name": "DM Mathematics"
} |
uppose -4 = p + 2*u, -3*p + 4*u + 22 = 2*p. Let l be p/8 + (-14)/(-8). Give a(l).
-3
Let k(y) = -y + 4. Let l = 758 + -761. Give k(l).
7
Let c be (-7)/((-35)/(-25)) + (6 - 1). Let i(d) = -d**2 + d + 2. Determine i(c).
2
Let t(r) = 4*r - 2. Let o(f) = 2*f - 4. Let l be o(5). Let i be (5 + -1)/(l/(-3)). Determine t(i).
-10
Let f(u) = -u**3 + 8*u**2 - 9*u + 2. Let z be (-1*(-14)/5)/(18/45). Calculate f(z).
-12
Let s(y) = -y**2 - 10. Let a be 5*2*(-1)/(-5). Suppose -a*z - 6 = -2*q - 5*z, 2*z = 4. Determine s(q).
-10
Let j(r) be the first derivative of 7*r**4/4 - 2*r**3/3 + r**2/2 - 198. Calculate j(1).
6
Let g = 8 + 1. Let b(f) be the second derivative of f**5/20 - 2*f**4/3 - 5*f**3/3 + 3*f**2/2 - 3*f - 3. What is b(g)?
-6
Let j = -124 - -138. Let s be (2 - (-174)/(-21)) + 4/j. Let z(v) = 3*v + 6. Determine z(s).
-12
Let w(g) = g**3 + 3*g**2 - g. Let f(n) = -5*n**3 - 29*n**2 + 2*n - 12. Let p(v) = f(v) + 3*w(v). Determine p(-10).
-2
Let z be (-55)/(-10) + (-1)/2. Let i(c) = -c**2 + 3*c + 7. Determine i(z).
-3
Let z(m) = -5*m**2 - 2*m - 4. Suppose -q + 30*h = 34*h - 3, 2*q - 4*h = -6. Determine z(q).
-7
Let y(m) = -5*m**3 + m - 1. Let j be y(1). Suppose 15*g = 64 - 19. Let s = g + j. Let c(z) = -2*z. What is c(s)?
4
Suppose -7*k - 20 + 13 = 0. Let d(g) = 0 - 2 + 27*g - 4*g + 3. Determine d(k).
-22
Suppose 8*z - 22 + 6 = 0. Suppose 4*r - 4 = z*r. Let j(d) = -d**2 + 2*d - 3. What is j(r)?
-3
Let x(d) = 4*d**2 - 2 + 5 - 3*d**2 - 2*d. Let z(l) = -2*l**2 + 5*l - 7. Let s(w) = -13*x(w) - 6*z(w). Calculate s(-6).
-9
Let u(j) be the second derivative of -1/6*j**4 + 1/6*j**3 + 3*j + 0 - j**2. Suppose a = -3*n + 3, a - 7 = -4*n - 2. Give u(n).
-8
Let i(v) = v**3 - 2*v**2 - 5*v + 1. Let z(n) = -n**3 + n - 1. Let a(x) = i(x) + 2*z(x). What is a(-2)?
5
Let l(v) = v**2 - 1. Suppose 3*z - 16 = -7. Let m be l(z). Let t(g) = g - 14. Calculate t(m).
-6
Let k(d) = -7*d - 28. Let g be k(-4). Let y(u) be the second derivative of u**5/20 + 2*u**2 + 3*u. Determine y(g).
4
Let m(i) = i**3 + 4*i**2 - i - 1. Let h = -89 + 91. Suppose -4*z = 2*c + 22, 2*c = 3*z - h*c. Give m(z).
3
Let k(f) = -f**3 - 7*f**2 - 8*f - 3. Let p be -1 - 80/15 - 4/(-12). Calculate k(p).
9
Let w(p) be the second derivative of 5*p**2 - 6*p + 1/3*p**3 + 0. Determine w(-7).
-4
Let u(j) be the third derivative of -j**9/60480 - j**8/5040 - j**7/2520 + j**6/360 + j**5/6 - 4*j**2. Let d(q) be the third derivative of u(q). Give d(-2).
-2
Suppose -c - 2*d = -0*d - 10, -3*c = d - 15. Suppose c - 18 = 7*h. Let b(g) = -5*g + 1. What is b(h)?
11
Let c(r) = -3*r - r + 3*r - 2*r - 3 + 5*r. Determine c(0).
-3
Let i(q) be the second derivative of -q**7/2520 + q**6/720 + q**5/120 + 4*q**4/3 - 11*q. Let w(s) be the third derivative of i(s). Determine w(2).
-1
Let o(g) = 4*g**2 - 22*g - 4. Let j(b) be the first derivative of -b**3/3 + 7*b**2/2 + b + 3. Let h(i) = 7*j(i) + 2*o(i). Give h(-5).
-1
Let q(a) = -16*a**2 - 7*a - 1. Let t(n) = 11*n**2 + 8*n + 2. Let h(z) = -2*q(z) - 3*t(z). What is h(-10)?
-4
Let b(u) be the second derivative of -u**3/6 + 29*u**2/2 + 41*u. Give b(0).
29
Let l(a) be the first derivative of -a**3 + 0*a**2 + 1/4*a**4 + 4*a + 3. Calculate l(3).
4
Let p(w) = w**2 + 2*w - 1. Let r(i) = -i**3 + 14*i**2 - 29*i + 57. Let t be r(12). Give p(t).
2
Let l(b) = b**3 + 4*b**2 - 6*b + 6. Let y(n) = -n**2 - 8*n - 2. Let v be y(-7). Suppose 0 = v*j + 39 + 106. Let m = j + 24. Give l(m).
11
Let t(m) = 6*m**3 + 3*m**2 - 4*m + 4. Suppose -d + 0 = -6. Let s(n) = 7*n**3 + 4*n**2 - 4*n + 4. Let i(h) = d*t(h) - 5*s(h). Give i(3).
1
Let c(r) = 7*r - 10. Let h(m) = -2*m + 3. Let a(p) = c(p) + 3*h(p). Let d be (-2)/3 - 8/(-3). What is a(d)?
1
Let x(y) = -4*y + 3*y - 8*y**2 + 14*y**2 - 5*y**2. Let s = 1 - 4. Let c be -2 - -1*(0 - s). What is x(c)?
0
Let t(f) = 4*f**3 + 8*f**2 - 8*f - 3. Let v(u) = u**3 + u**2 - u - 1. Let d(z) = t(z) - 3*v(z). Let h = 37 - 21. Let b = 10 - h. Determine d(b).
-6
Let y(f) = -f**3 + f**2 + 2*f - 4. Let r be ((-110)/44)/((-10)/12). Determine y(r).
-16
Let x = 707 - 695. Let s(d) = -2*d + 29. Determine s(x).
5
Let b(n) = -19*n + 2. Let c(f) = 9*f - 1. Let q(x) = -2*b(x) - 5*c(x). Suppose 2*h - z = 7*h + 4, 4*h - 1 = -5*z. What is q(h)?
8
Let y be 1/4 - (-14)/8. Suppose -4*n - 2*k + 6 = 0, y*k = 4*k + 6. Let m(j) = j**2 - 80450*j - 2*j**2 + 0*j**3 + 6*j**2 + 80448*j - j**3. What is m(n)?
12
Suppose -150*h = -122*h + 56. Let f(u) = -10*u - 9. Let a(t) = -t**2 + 21*t + 19. Let d(v) = 6*a(v) + 13*f(v). Give d(h).
-19
Let z(d) = -14*d**3 + 2*d**3 - 21*d**2 + 5 + 10*d**3 - 10*d. Calculate z(-10).
5
Let y(i) = -i + 7. Suppose 0 = j - 67 - 27. Let p = j + -88. What is y(p)?
1
Suppose -2*w = -w - 3. Suppose -5*y + 2 = 5*g - 8, 0 = w*y - 3. Let s(q) = -q - 1. Determine s(g).
-2
Let a(i) = 6*i - 3. Let x(n) = n**2 + n - 1. Let r(w) = a(w) - 4*x(w). What is r(2)?
-11
Let t(p) = 11*p - 36. Let a be t(4). Let h(u) = -u**3 + 7*u**2 + 9*u - 2. Calculate h(a).
6
Let k(j) be the first derivative of -j**4/24 + j**3/3 + 7*j**2 + 14. Let x(b) be the second derivative of k(b). Give x(4).
-2
Suppose 3*q - 1 + 7 = -3*n, -5*n = -q - 8. Let p(i) be the second derivative of -1/6*i**3 + 53*i + 0 + 1/12*i**4 - 1/2*i**2. What is p(n)?
-1
Let t(q) = -3*q + 1. Let j(d) = -d + 1. Let r(f) = 2*j(f) - t(f). Let m = 1680 - 1679. What is r(m)?
2
Let a(w) = -3 + w**2 + 3 - 3*w**3. Let d be a(1). Let g(y) = -2 - 182*y**2 - 4*y + 369*y**2 - 3 - 186*y**2 + 2. Determine g(d).
9
Suppose 9*x - 5 = 10*x. Let h(k) = 7*k + 1. What is h(x)?
-34
Let y be 144/14 - 2/7. Let r be (-2 - 13)*(-6)/y. Let a(g) = r + 3 - 9*g + 8*g. Calculate a(8).
4
Let n(w) be the third derivative of w**5/60 - w**4/4 - w**3/3 + 3*w**2. Let h be ((-18)/(-5))/(4/10). Let f = h + -3. Give n(f).
-2
Let k be 1/(-2)*96/16. Let g(v) = v**2 + 3*v. What is g(k)?
0
Let p(a) = 11*a - 784. Let h be p(72). Let i(j) = -j**2 + 4*j + 4. Let q(x) = -x - 1. Let g(m) = i(m) - 3*q(m). Determine g(h).
-1
Suppose 29*g + 46 = 6*g. Let o(l) = -4*l**3 - l**2 + l + 1. Determine o(g).
27
Suppose w = -0*w - 2. Let f be (w - 9)/(3/(-222)). Let i(j) = 2*j**2 + 2*j + f*j**3 + 1 - 824*j**3 - 4*j. Calculate i(1).
-9
Suppose -5*w - 17 = -4*s, 5*s + 43*w - 44*w - 16 = 0. Let x(b) be the second derivative of -2/3*b**s + 2*b + 0 - 7/2*b**2. Determine x(-5).
13
Let t(i) = -i**3 - 3*i**2 - i + 1. Suppose -5*f + 40 = 10. Suppose 0 = 6*r + 6 + f. Calculate t(r).
-1
Let j(o) = 32*o - 24. Let g(b) = 11*b - 10. Let k(w) = -8*g(w) + 3*j(w). Give k(-2).
-8
Let a(q) = -12*q + 11*q - 2*q - q + 1. Let v be 4/(-3) - (-4)/(-6). Calculate a(v).
9
Suppose -2*b + 13 = s, 5*b + 2*s - 31 = -2*s. Let t(g) = 2*g - 16. Determine t(b).
-2
Let g(k) = -10*k**3 + 2*k**2 - 3*k + 2. Let b be (27/54)/((-2)/(-4)). Calculate g(b).
-9
Let w = 17 + -20. Let c = 5 + w. Let z(d) = -5*d**2 + 4*d - 3. Determine z(c).
-15
Suppose -110 = -52*p + 74*p. Let a(v) be the second derivative of v**5/20 + 5*v**4/12 + v**2 - 3*v. Determine a(p).
2
Suppose -x = 4*x - 15. Let c(s) = -s - 2. Let r be c(3). Let h(n) = -6*n**2 - 6*n + 9. Let g(i) = 5*i**2 + 5*i - 8. Let p(w) = r*g(w) - 4*h(w). Give p(x).
-8
Let m(g) = g**3 + 2*g**2 - 2*g + 3. Let i = 71 + -75. Calculate m(i).
-21
Let b(m) = 3*m + 23. Let x(c) be the first derivative of c**2 + 15*c + 7. Let v(f) = -5*b(f) + 8*x(f). Let z be 4/(-18) + (-141)/(-27). Determine v(z).
10
Let b(t) = -3*t - 14*t**2 + 0*t**2 + 5*t**2 - 6 + 10*t**2 + 1. Determine b(6).
13
Let g = 24 + -12. Suppose -2*s + 23 = 5*i, -3*i - 3*s = -3 - 18. Suppose -g = -i*j + 3. Let p(m) = m**2 - 4*m - 1. Give p(j).
4
Let x(z) = -5*z**2 - 7*z + 38. Let b(i) = -3*i**2 - 3*i + 21. Let k(w) = -7*b(w) + 4*x(w). What is k(4)?
-7
Let j = -1879 + 1881. Let d(h) be the third derivative of 0 + 0*h + 1/2*h**3 - 1/8*h**4 + 7*h**j + 1/60*h**5. Determine d(2).
1
Let j be (-3)/((-21)/43) - 120/(-140). Let f(l) = -2*l + 20. Determine f(j).
6
Let w(k) = k**3 - 28*k**2 - 33*k + 119. Let z be w(29). Let u(g) = -2*g - 1. What is u(z)?
-7
Let g(y) be the second derivative of -y**5/120 + y**4/2 - 5*y**3/6 - 8*y. Let q(w) be the second derivative of g(w). Determine q(5).
7
Let b(u) be the third derivative of -u**6/120 - u**5/5 - 13*u**4/24 - 13*u**3/6 + 791*u**2. What is b(-11)?
9
Let a be ((-16)/(-56))/((-2)/(-14))*1. Let y(l) be the first derivativ | {
"pile_set_name": "DM Mathematics"
} |
30, 2371, 5186?
8771
What comes next: 353737, 706764, 1059791, 1412818?
1765845
What is the next term in -231986, -232848, -233708, -234566, -235422, -236276?
-237128
What is next in -2380, -2705, -3046, -3403, -3776?
-4165
What is next in -1, 605, 2431, 6095, 12215?
21409
What comes next: -2382697, -4765352, -7147983, -9530578, -11913125, -14295612, -16678027?
-19060358
What is next in -53052, -212045, -476972, -847827, -1324604?
-1907297
What is next in -190522, -190732, -190942, -191152, -191362, -191572?
-191782
What is next in -126096, -126184, -126270, -126354, -126436?
-126516
What is next in -2563467, -10253996, -23071543, -41016108, -64087691, -92286292, -125611911?
-164064548
What comes next: 5451, 9544, 13743, 18102, 22675, 27516?
32679
What comes next: 69148584, 69148575, 69148566, 69148557?
69148548
What comes next: 13476524, 26953049, 40429574, 53906099, 67382624, 80859149?
94335674
What is next in -175549, -349291, -523033, -696775, -870517?
-1044259
What is the next term in 775855803, 1551711605, 2327567407?
3103423209
What comes next: -3771300, -3771314, -3771330, -3771348, -3771368, -3771390?
-3771414
What is the next term in 170, 1456, 4972, 11834, 23158, 40060, 63656, 95062?
135394
What is the next term in 849, 3241, 7241, 12867, 20137?
29069
What is next in 2898601, 5797202, 8695803, 11594404, 14493005, 17391606?
20290207
What is the next term in -896751, -1793512, -2690285, -3587070, -4483867, -5380676?
-6277497
What is next in -17236, -17212, -17198, -17194?
-17200
What is next in -6788, -6689, -6592, -6497, -6404, -6313, -6224?
-6137
What is the next term in -6555, -31317, -74279, -135441, -214803, -312365, -428127?
-562089
What is next in 3244, 6481, 9966, 13687, 17632?
21789
What is next in -967671, -1935354, -2903049, -3870762, -4838499, -5806266, -6774069, -7741914?
-8709807
What is next in 1499767, 1499795, 1499825, 1499857?
1499891
What comes next: -789178, -1578320, -2367462, -3156604, -3945746?
-4734888
What comes next: -3045924, -3045918, -3045912, -3045906, -3045900, -3045894?
-3045888
What is the next term in 59566, 239932, 540528, 961342, 1502362, 2163576, 2944972?
3846538
What comes next: -2802897, -5605791, -8408685, -11211579, -14014473?
-16817367
What comes next: 47129, 45085, 43041, 40997, 38953?
36909
What is next in 41103, 41401, 42229, 43851, 46531, 50533?
56121
What is the next term in 34, 136, 330, 658, 1162, 1884, 2866, 4150?
5778
What is the next term in 451, 653, 599, 295, -253?
-1039
What comes next: -2384, -5334, -9400, -15140, -23112, -33874?
-47984
What is next in 9399, 20671, 31955, 43257, 54583?
65939
What comes next: -1261332, -2522647, -3783962, -5045277?
-6306592
What comes next: 3175710, 6351411, 9527112, 12702813, 15878514?
19054215
What is next in -5846, -4971, -3514, -1475, 1146, 4349?
8134
What is the next term in 13252, 106286, 358906, 850906, 1662080, 2872222?
4561126
What is next in 12832, 12402, 12034, 11734, 11508, 11362, 11302?
11334
What is next in 2580694, 5161384, 7742074, 10322764?
12903454
What comes next: 3132, 24520, 82584, 195666, 382108, 660252, 1048440, 1565014?
2228316
What is the next term in -6306, -12747, -19424, -26457, -33966, -42071, -50892, -60549?
-71162
What comes next: -102604, -103773, -105714, -108421, -111888, -116109?
-121078
What is the next term in 640042, 2560342, 5760840, 10241536, 16002430?
23043522
What comes next: -895117, -895099, -895081, -895063?
-895045
What is the next term in -8824968, -17649915, -26474862, -35299809, -44124756, -52949703?
-61774650
What is the next term in -239486, -478843, -718190, -957521, -1196830?
-1436111
What comes next: -1278180, -2556346, -3834512, -5112678, -6390844?
-7669010
What is next in 838594, 838606, 838618?
838630
What comes next: 5654, 11976, 18968, 26630, 34962?
43964
What is the next term in -509153, -1018321, -1527493, -2036669, -2545849, -3055033, -3564221?
-4073413
What comes next: -85, -312, -499, -628, -681, -640, -487, -204?
227
What is the next term in 187623, 375264, 562905?
750546
What is next in -6640, -26101, -58386, -103495, -161428, -232185, -315766?
-412171
What comes next: 163504, 163499, 163482, 163447, 163388, 163299?
163174
What is the next term in 184310, 737327, 1659022, 2949395, 4608446, 6636175?
9032582
What is the next term in -5545, -5845, -6353, -7069, -7993, -9125?
-10465
What is next in -1177, -5048, -11505, -20560, -32225, -46512, -63433, -83000?
-105225
What is next in -53575234, -107150461, -160725688?
-214300915
What is the next term in 23503650, 47007312, 70510972, 94014630, 117518286, 141021940, 164525592?
188029242
What is next in 1866, 1913, 1982, 2085, 2234?
2441
What is the next term in 2183, 6660, 13427, 22484, 33831, 47468?
63395
What comes next: 1956, 1103, -320, -2313, -4876?
-8009
What comes next: -1481, -5754, -12887, -22958, -36045, -52226, -71579, -94182?
-120113
What comes next: 13092, 26116, 39140, 52164, 65188, 78212?
91236
What is the next term in 1566, 535, -664, -2115, -3902, -6109?
-8820
What comes next: 91, 135, 197, 271, 351?
431
What is next in 45363, 89546, 133729, 177912, 222095, 266278?
310461
What comes next: -6638, -13371, -20100, -26825?
-33546
What comes next: 865, 1512, 2395, 3508, 4845?
6400
What comes next: 631, 2314, 5143, 9106, 14191?
20386
What comes next: 2077, 4512, 7675, 11938, 17673, 25252, 35047?
47430
What comes next: 65, 424, 1393, 3278, 6385, 11020, 17489?
26098
What comes next: 1755, 3748, 6187, 9270, 13195, 18160, 24363, 32002?
41275
What comes next: 4208604, 4208610, 4208620, 4208634, 4208652, 4208674, 4208700?
4208730
What is the next term in -3991692, -15966764, -35925212, -63867030, -99792212, -143700752?
-195592644
What comes next: 13893, 55460, 124739, 221724, 346409, 498788?
678855
What is the next term in -2308, -8630, -14964, -21316, -27692, -34098, -40540?
-47024
What is next in -3316, -32054, -111600, -267358, -524732, -909126, -1445944?
-2160590
What is next in -18047099, -36094199, -54141273, -72188315, -90235319, -108282279?
-126329189
What is the next term in -37455, -82205, -126955, -171705, -216455, -261205?
-305955
What comes next: -4630207, -9260430, -13890653?
-18520876
What is the next term in 2107854, 4215723, 6323606, 8431503, 10539414, 12647339, 14755278?
16863231
What is the next term in -1155, -2746, -5327, -8892, -13435?
-18950
What is next in -4962257, -9924515, -14886773, -19849031, -24811289, -29773547?
-34735805
What is the next term in -5395216, -10790431, -16185646?
-21580861
What is next in 98294, 98315, 98372, 98483, 98666, 98939?
99320
What comes next: -1865043, -1864988, -1864933, -1864878, -1864823?
-1864768
What comes next: 31, 9, -133, -455, -1017, -1879, -3101, -4743?
-6865
What is next in 14000, 28027, 42006, 55937, 69820, 83655, 97442?
111181
What comes next: 80628, 161247, 241860, 322467, 403068?
483663
What comes next: -209994, -419908, -629820, -839730, -1049638?
-1259544
What is the next term in -13319510, -26639031, -39958554, -53278079, -66597606, -79917135, -93236666?
-106556199
What is the next term in -118430, -118352, -118222, -118040, -117806, -117520?
-117182
What is next in 109, 287, 595, 1069, 1745, 2659?
3847
What comes next: 12037373, 12037360, 12037347, 12037334, 12037321, 12037308?
12037295
What comes next: 4768199, 4768215, 4768231, 4768247, 4768263, 4768279?
4768295
What is next in -140245, -560465, -1260835, -2241355?
-3502025
What is next in -9923, -8834, -7021, -4490, -1247, 2702, 7351, 12694?
18725
What comes next: 117555865, 235111722, 352667579, 470223436, 587779293, 705335150?
822891007
What is the next term in 54860, 113679, 172498, 231317, 290136?
348955
What is next in -283899, -1135593, -2555093, -4542399, -7097511?
-10220429
What comes next: 2030601, 8122379, 18275349, 32489517, 50764889?
73101471
What is next in -15527, -28852, -42177?
-55502
What is next in -692478, -1384975, -2077472, -2769969?
-3462466
What comes next: -14394, -28415, -42434, -56451, -70466?
-84479
What is the next term in 29200, 28896, 28592, 28288?
27984
What is next in -13061850, -13061854, -13061858, -13061862?
-13061866
What comes next: -562136, -1125264, -1688392, -2251520, -2814648?
-3377776
What is the next term in 6851767, 6851749, 6851703, 6851617, 6851479, 6851277, | {
"pile_set_name": "DM Mathematics"
} |
h: 3, m: 1}. What is prob of sequence pmz?
1/80
What is prob of sequence ow when two letters picked without replacement from {o: 4, u: 3, w: 10, r: 1, y: 1}?
20/171
What is prob of sequence aah when three letters picked without replacement from {a: 2, h: 9}?
1/55
Three letters picked without replacement from qwjejqqeqjqjw. Give prob of sequence weq.
5/429
Calculate prob of sequence kb when two letters picked without replacement from {l: 3, b: 7, k: 4}.
2/13
What is prob of sequence hlgg when four letters picked without replacement from {g: 2, l: 1, a: 1, z: 2, h: 8}?
2/3003
Four letters picked without replacement from ssjjs. What is prob of sequence sssj?
1/10
What is prob of sequence tkat when four letters picked without replacement from {a: 1, t: 6, k: 1, v: 3, q: 1}?
1/396
Two letters picked without replacement from {s: 2, f: 2, x: 4}. Give prob of sequence sf.
1/14
Two letters picked without replacement from {t: 2, w: 6, p: 1, q: 1, x: 2}. What is prob of sequence xq?
1/66
Two letters picked without replacement from iczssggnn. What is prob of sequence gn?
1/18
Two letters picked without replacement from eelvrgir. Give prob of sequence vl.
1/56
Calculate prob of sequence jsp when three letters picked without replacement from {p: 1, j: 2, g: 1, s: 4, h: 1}.
1/63
Two letters picked without replacement from {w: 1, d: 3, k: 2, b: 6, r: 5}. Give prob of sequence wb.
3/136
Two letters picked without replacement from {e: 5, g: 3, k: 1, v: 1, f: 5}. What is prob of sequence kg?
1/70
Three letters picked without replacement from kkkkkkkskksssksssss. Give prob of sequence ssk.
40/323
Calculate prob of sequence jbjj when four letters picked without replacement from ssjjvjvjjsvjsjbjjy.
7/1020
Two letters picked without replacement from {d: 1, y: 1, v: 2, q: 1, c: 7, z: 2}. Give prob of sequence zq.
1/91
Calculate prob of sequence dq when two letters picked without replacement from zzaaazadqqananqqnza.
2/171
Two letters picked without replacement from {x: 1, v: 6, f: 3, a: 9}. Give prob of sequence xf.
1/114
Three letters picked without replacement from titgtititih. Give prob of sequence iti.
2/33
Three letters picked without replacement from vvqgvyppv. What is prob of sequence qvp?
1/63
What is prob of sequence ve when two letters picked without replacement from evbe?
1/6
Calculate prob of sequence lla when three letters picked without replacement from paaallllllllaaalpl.
15/136
Two letters picked without replacement from kuskkunukukukukuk. Give prob of sequence sn.
1/272
Calculate prob of sequence lwl when three letters picked without replacement from llwmbliwlwlllwbbb.
7/170
What is prob of sequence cq when two letters picked without replacement from crqqryr?
1/21
Three letters picked without replacement from {v: 1, p: 6, w: 2, t: 3}. What is prob of sequence pvp?
1/44
Three letters picked without replacement from uzdzuuznzuzzz. What is prob of sequence uzu?
7/143
Calculate prob of sequence lox when three letters picked without replacement from {o: 3, l: 1, j: 2, x: 7, e: 4}.
7/1360
What is prob of sequence sgg when three letters picked without replacement from {g: 2, s: 1}?
1/3
Calculate prob of sequence mymi when four letters picked without replacement from {i: 5, m: 2, y: 3}.
1/168
What is prob of sequence jdej when four letters picked without replacement from jedjb?
1/60
Four letters picked without replacement from {r: 5, s: 7}. Give prob of sequence rrrr.
1/99
Two letters picked without replacement from zbzzzabzzz. Give prob of sequence zb.
7/45
What is prob of sequence qsuq when four letters picked without replacement from qqvyqyysus?
1/420
Calculate prob of sequence kbkb when four letters picked without replacement from {b: 7, v: 1, k: 2}.
1/60
Four letters picked without replacement from yyyyyyyyy. What is prob of sequence yyyy?
1
Calculate prob of sequence bn when two letters picked without replacement from nbrtnfnn.
1/14
Two letters picked without replacement from {k: 1, m: 1, a: 1}. What is prob of sequence ma?
1/6
Two letters picked without replacement from {j: 3, r: 5, c: 2}. Give prob of sequence cj.
1/15
What is prob of sequence xw when two letters picked without replacement from {w: 4, o: 4, x: 6}?
12/91
What is prob of sequence srsd when four letters picked without replacement from {s: 9, l: 2, r: 2, d: 3}?
9/910
Four letters picked without replacement from {x: 2, m: 1, i: 1, r: 1, e: 1, n: 1}. Give prob of sequence mrin.
1/840
What is prob of sequence uy when two letters picked without replacement from {g: 2, r: 4, u: 3, x: 3, y: 3, q: 1}?
3/80
What is prob of sequence kkp when three letters picked without replacement from {k: 12, p: 3}?
66/455
Three letters picked without replacement from {b: 3, q: 2, y: 9, e: 5}. What is prob of sequence yeq?
5/323
What is prob of sequence zz when two letters picked without replacement from {z: 4, t: 4, a: 3, k: 3}?
6/91
Calculate prob of sequence rz when two letters picked without replacement from {z: 1, s: 1, g: 1, r: 1, n: 1}.
1/20
Three letters picked without replacement from {t: 10}. Give prob of sequence ttt.
1
Four letters picked without replacement from hkhuhhuuukkkuvuuvuk. What is prob of sequence vhuv?
2/2907
Three letters picked without replacement from wwwwwxwwwxw. What is prob of sequence xww?
8/55
Four letters picked without replacement from {p: 3, b: 1}. What is prob of sequence ppbp?
1/4
Two letters picked without replacement from zuzhzuuhzu. Give prob of sequence uz.
8/45
Three letters picked without replacement from xcxschsu. Give prob of sequence scs.
1/84
Four letters picked without replacement from rcaccacwh. What is prob of sequence hara?
1/1512
Three letters picked without replacement from {v: 1, j: 3}. What is prob of sequence jjv?
1/4
Four letters picked without replacement from goggoopggttotgog. What is prob of sequence optt?
1/1456
Three letters picked without replacement from {c: 7, f: 1, p: 1}. What is prob of sequence cfp?
1/72
Three letters picked without replacement from {p: 3, x: 2, n: 2, z: 4}. Give prob of sequence npp.
2/165
Calculate prob of sequence bbsb when four letters picked without replacement from bssbsbsbbssbb.
21/286
Three letters picked without replacement from rhktthd. What is prob of sequence dtt?
1/105
Calculate prob of sequence aww when three letters picked without replacement from {a: 3, m: 2, w: 4}.
1/14
Four letters picked without replacement from shhsgnghhhhhhhhsshs. Give prob of sequence hhgs.
275/23256
Two letters picked without replacement from wqqwewwwfwfffwffiwf. Give prob of sequence wq.
8/171
Two letters picked without replacement from {y: 2, i: 2, d: 1, m: 1}. What is prob of sequence yi?
2/15
Calculate prob of sequence qq when two letters picked without replacement from eqegqqedee.
1/15
Calculate prob of sequence pfo when three letters picked without replacement from ozofozoyoozpzpfo.
1/120
Three letters picked without replacement from xiinxiiiiggixixninxi. What is prob of sequence nxg?
1/228
What is prob of sequence ccj when three letters picked without replacement from {j: 12, c: 3}?
12/455
What is prob of sequence mcm when three letters picked without replacement from {m: 2, c: 7}?
1/36
Three letters picked without replacement from ccscccsscccccccc. Give prob of sequence scs.
13/560
Four letters picked without replacement from sssasaazlassasusasss. Give prob of sequence luaa.
1/3876
Three letters picked without replacement from {a: 4, x: 1, s: 1, j: 9}. What is prob of sequence xsa?
2/1365
Calculate prob of sequence bcb when three letters picked without replacement from {b: 12, c: 6}.
11/68
Calculate prob of sequence vuu when three letters picked without replacement from iuihvui.
1/105
Calculate prob of sequence aq when two letters picked without replacement from qqa.
1/3
Calculate prob of sequence ip when two letters picked without replacement from {p: 1, i: 4, h: 1, y: 1, w: 4}.
2/55
Three letters picked without replacement from {y: 6, p: 4, r: 2, b: 7, a: 1}. What is prob of sequence bbr?
7/570
What is prob of sequence zwh when three letters picked without replacement from {w: 1, z: 1, t: 1, k: 1, h: 1}?
1/60
Calculate prob of sequence lh when two letters picked without replacement from lkwiwwwidwwih.
1/156
Four letters pi | {
"pile_set_name": "DM Mathematics"
} |
n.
-51
Express -7380 + 7380 - 65*s + 2*s + 0*s + 0*s + (-3 + 0 + 4)*(-2 + s + 2) in the form x*s + y and give x.
-62
Rearrange -1768*t + 1768*t - 114*t**2 to the form d*t**2 + b*t + l and give d.
-114
Express 3 - p**2 + 4 + 2 + (1 + 2*p - 1)*(-4 + p + 4) in the form g + x*p + y*p**2 and give g.
9
Express d**3 - 3*d**4 + 1 + 3*d**2 - d**4 - 6*d**3 + 3*d**3 in the form m*d**4 + u*d**2 + r + g*d**3 + l*d and give r.
1
Express (5*q**3 - 4*q**3 + q**3)*(-3*q + q + 0*q)*(-3 - 2 + 4) in the form u*q + k*q**4 + b + v*q**2 + y*q**3 and give k.
4
Express 0 + f**2 + 27 - 7 - 2*f**2 in the form q + b*f + z*f**2 and give q.
20
Express 34*u**4 - 39*u**4 + 2*u**3 + 1 + 0 + 2*u**3 in the form t + w*u**3 + j*u**4 + x*u**2 + v*u and give j.
-5
Express 2*i - 3*i**3 + 6*i**3 + 7*i**3 + 2*i**3 as v + w*i**2 + p*i**3 + l*i and give l.
2
Express (-1 + 1 - 2)*(11 - 604*f + 7 + 600*f) as p + r*f and give p.
-36
Rearrange 5 - m**2 + 91*m - 91*m to y*m + w*m**2 + g and give w.
-1
Express 253*i + 37*i**2 - 253*i in the form l + q*i + c*i**2 and give c.
37
Rearrange (-6*u + 4*u + 4*u)*(-2 + 0 + 6)*(-1 + 4 - 2)*(0*u - 2*u - u) to h*u + g*u**2 + k and give g.
-24
Express -2124 + 2124 - 210*b**3 + (-4 + 4 + b)*(0*b**2 + b**2 - 3*b**2) as j*b**3 + x*b + l*b**2 + d and give j.
-212
Express 2 + 9*v**2 - 2 + (15*v - 7*v + 3*v)*(-2 - 2*v + 2) as c*v**2 + g*v + w and give c.
-13
Rearrange 4094 + r**2 - 4094 to h + y*r**2 + o*r and give o.
0
Rearrange (4*k - 2*k - k)*(-3*k + 4*k - 2*k)*(-9*k + 15*k + 10*k) to the form w*k**3 + a*k + i + g*k**2 and give w.
-16
Express (-7 + 0 - 1)*(-4*n**3 - n**3 + 3*n**3) as o + y*n + d*n**2 + u*n**3 and give u.
16
Rearrange (10 + 7 - 7)*(3*c - c - 3*c + 0*c + 3*c - c + (4*c - 2*c - 4*c)*(1 - 1 - 2) + 1 - 1 - c) + (2*c - c + 0*c)*(3 - 1 + 0) to the form q*c + d and give q.
42
Express k - 2 - 1 + 2*k**2 + 4 + (2 + 1 - 4)*(-4*k**2 + 17*k**2 - 27*k**2) as j*k + p + o*k**2 and give p.
1
Rearrange (-152*y + 8620 - 8620)*(2 - 2 - 1) to g*y + f and give g.
152
Express (-2*i**3 - i**3 + 2*i**3)*(0*i - 17*i - 21*i) as z*i**2 + q + w*i + o*i**3 + t*i**4 and give t.
38
Express (6 - 6 + 14*f)*(0 + 0 - 7*f**2)*(2*f + 0*f - 3*f) as u*f**2 + r*f**3 + p*f + d*f**4 + k and give d.
98
Rearrange 50*g + 2*g**4 + 3 - g**3 - 52*g + 2*g**3 to t*g + o*g**4 + z + w*g**3 + a*g**2 and give z.
3
Express -n**4 - 4*n + 1 - 6*n**2 + 3*n**4 + 4*n in the form v*n**4 + s*n + o*n**2 + a*n**3 + u and give o.
-6
Rearrange (-x - 2 - 3 + 4)*(1 + 2 + 0)*(-1 - 3 + 3) + 17*x - 11*x - 17*x to the form c + a*x and give a.
-8
Express (3 - 1 - 3)*(8*q - 28*q - 5*q) as b*q + o and give b.
25
Express 2*y**3 + y**3 - 7*y**3 + (-2*y**2 + 2*y**2 - 2*y**2)*(-y + y - y) in the form n*y + o*y**2 + z + g*y**3 and give g.
-2
Express -8 + 542*j**2 - 1077*j**2 - j**3 + 537*j**2 - 2*j as m*j + f*j**2 + a*j**3 + l and give l.
-8
Rearrange 47 + 24 + 2*h**2 + 11 to the form i*h**2 + v*h + s and give i.
2
Express (-2*v + v - 6*v)*(0*v + 1 - 2 - v) in the form z*v + l*v**2 + r and give l.
7
Express 18 - 18 + 27*a - 10*a as d*a + p and give d.
17
Rearrange (1 - 1 - 2*r)*(-344*r - 341*r + 674*r) to the form p + h*r**2 + s*r and give h.
22
Rearrange -3*n - 37*n + 1 + 7*n to q + o*n and give o.
-33
Express (-f + 1 - 1)*(-1 + 2 - 3) + 3*f - 3*f + f + 12 - 12*f - 12 - f + 3*f - f + (f - 3*f + 0*f)*(1 + 0 + 1) + 0*f - 4*f + 3*f in the form k + h*f and give h.
-13
Rearrange 20 - 20 + i**2 + 8*i to the form p*i**2 + t + n*i and give p.
1
Rearrange -38*i**3 - 2*i + 1 - 10*i**3 + 1 - 1 to y*i**3 + u*i + k*i**2 + t and give u.
-2
Express (o - o - 2*o)*(0*o**2 + 2*o**2 - 5*o**2) - 30*o**3 + 2*o + 6*o**3 + 17*o**3 as b*o**2 + d + g*o**3 + k*o and give g.
-1
Express 200 - 74*y - 200 as p*y + j and give p.
-74
Rearrange -2*q + 2*q + 2*q**2 + 0*q**2 to the form m*q + c + x*q**2 and give x.
2
Rearrange 7*w + 3*w - 4*w + 5*w**2 to the form h*w + t*w**2 + u and give t.
5
Express -5*q - 4 + 11*q - 3 as o*q + w and give o.
6
Express -5*c**2 + 3*c**2 + 5 + 2*c**3 - 1 as u + s*c**2 + b*c**3 + k*c and give s.
-2
Rearrange (0*a**3 + 2*a**4 + 0*a**3)*(-1 + 6 - 3) + (-8*a**4 + 3*a**4 - 2*a**4)*(6 - 5 + 3) to the form h + p*a**4 + j*a**2 + t*a + o*a**3 and give p.
-24
Express (0 - r + 0)*(4 + 3 - 5)*(-214 - 34*r + 214) as k + d*r + w*r**2 and give w.
68
Rearrange 9 - 49*u - 2*u**3 - 9*u - 9 to the form w + k*u + g*u**2 + x*u**3 and give k.
-58
Rearrange (5*a - 12*a - 12*a)*(10 - 10 - 2*a) + 0 - 2*a**2 + 0 to q*a + c + r*a**2 and give r.
36
Express 5 + i - 6 - 8*i - 7*i in the form y + b*i and give b.
-14
Rearrange (-2*a - a**4 + 2*a + (0*a**4 + a**4 + a**4)*(4 - 4 - 2))*(-6 + 1 - 1) to l*a**3 + h*a + n*a**4 + q*a**2 + t and give n.
30
Rearrange 0*b + 17*b + 9*b to the form x*b + k and give x.
26
Express -3*w**2 - 4*w**2 + 6*w**2 - 2*w - 3*w**3 as t*w**3 + h*w**2 + r*w + f and give t.
-3
Rearrange (5*s + 25*s - 13*s)*(-s - 2 + 2) + 3*s**2 + 4*s**2 - 5*s**2 to z*s**2 + w*s + m and give w.
0
Rearrange (-1 - 9 + 1)*(-4 + 4 - 8*x + (-2*x - 3 + 3)*(-2 + 2 + 2) + 6*x - x - 3*x - x - 3 + 3) to the form o*x + u and give o.
99
Rearrange -5*h - 2*h + 7*h - 10*h**2 to the form t + y*h + q*h**2 and give q.
-10
Express (5 - 5 + 6*d**2)*(-5 + 5 - 2*d) - 2*d**3 + 0*d**2 + 0*d**2 as o*d**2 + l*d + z*d**3 + c and give z.
-14
Express (6 + 0 - 3)*(-2*j**2 + 3*j**2 - 2*j**2) + (0 + 2 + 0)*(-3*j**2 - 5*j**2 + 3*j**2) in the form r + y*j + c*j**2 and give c.
-13
Express -2*v - 4*v + 2*v + (2 - 5 + 5)*(0*v + 0*v + v) + 4*v - 3*v + 0*v in the form s*v + i and give s.
-1
Express (0*u**2 + 0*u**2 - u**2)*(-10 + 51 + u + 25) as g + n*u + f*u**2 + p*u**3 and give p.
-1
Express 9*z - 7*z - 3*z + 6 in the form j + s*z and give j.
6
Rearrange -2 - 6*j**2 - 18*j**3 + 0 + 19*j**3 + (2 - j**2 - 2)*(2*j + 2 - 2) to the form q + x*j**2 + t*j + l*j**3 and give t.
0
Express (-d**2 - 6*d**2 - 3*d**2)*(-3 - 3 - 2*d + 7 - 8*d**2) as w*d**2 + o + k*d**3 + b*d**4 + z*d and give w.
-10
Rearrange (-1 + 6*x + 1)*(-4 - 3 + 2)*(5*x - 2*x - 2*x) to the form r*x**2 + j*x + u and give r.
-30
Rearrange -1 - 11*x**4 + 30*x**4 + x**2 - 15*x**4 to the form z*x + l*x**4 + a*x**3 + c*x**2 + u and give u.
-1
Rearrange 2*l + 3*l - 3*l**3 - 13*l to z + p*l**3 + q*l + u*l**2 and give q.
-8
Rearrange -11*s**2 + 14*s**2 - 13 + 19 to o*s + c*s**2 + b and give b.
6
Express (5*a**3 - 9*a**3 + a**3)*(5*a - 6*a - 1 + 3) as z + v*a + b*a**2 + g*a**4 + o*a**3 and give z.
0
Express -4*k + 0*k - 8*k as s + z*k and give z.
-12
Express -6 + 2*w + 10*w - 11*w - w**2 in the form d + k*w + o*w**2 and give d.
-6
Express -2*q + 330 - 330 + 2*q**2 + 8*q**3 - 3*q**3 as d + i*q + m*q**3 + k*q**2 and give i.
-2
Rearrange -4 - 13*w + 5 - 2*w**3 + 12*w + 2*w**3 + 2*w**3 - 3*w**3 + (1 - 1 - 2*w)*(-w**2 - 5*w**2 + 5*w**2) to the form o*w + r + l*w**3 + b*w**2 and give o.
-1
Rearrange -5*i**4 - 113*i**3 + 6*i**4 + 1 + i + 111*i**3 to the form m*i + d + n*i**2 + r*i**4 + c*i**3 and give r.
1
Rearrange (4*u - 75*u - 1 + 38*u)*(u**2 + 3 - 3) to r*u**2 + y + g*u**3 + z*u and give y.
0
Express 3*d - 78 + 89 + 0*d - 2*d as a*d + m and give m.
11
Express -19*b**2 + b - 1 - 13*b**2 + 31*b**2 as q*b**2 + l*b + i and give q.
-1
Express 2*b**3 + 2*b**3 - 3*b - 6*b**3 + (2*b**2 - 2*b**2 - 2*b**2)*(0*b + 2*b + b) as h + w*b**3 + n*b + v*b**2 and give n.
-3
Rearrange -661*h**2 + h + 661*h**2 - 6*h**3 to b*h**2 + f*h**3 + v + j*h and give f.
-6
Express -3*j - 2*j**3 + 3 + 69*j**2 + j**4 - 69*j**2 as z*j**2 + m*j**3 + y + q*j**4 + n*j and give q.
1
Rearrange -b - 3*b + 0*b + 6*b to the form h + q*b and give q.
2
Express 2*h**2 - 3 + 0*h**2 + 0 - 4*h**2 as d*h + g + n*h**2 and give g.
-3
Rearrange -13 + 9*f - 15 - 10 + 35 to b + x*f and give x.
9
Express 36*u + 3*u**3 - 3*u**2 - 2*u**4 - 67*u + 33*u - u**4 as y*u**4 + s*u**2 + k + n*u + a*u**3 and give a.
3
Rearrange 6*d**3 - 3*d**2 - 3*d**2 + 3*d**2 + d**2 + 2 to the form q + f*d**3 + s*d**2 + k*d and give s.
-2
Express (-2 + 0 + 105*k - 88*k)*(5 - 4 + 0) + 0*k + k + k as j + m*k and give j.
-2
Express -15*q**2 + 24*q**2 + 9*q**2 + 50*q**2 as m + n*q**2 + b*q and give m.
0
Express -13*j + 18*j - 7*j as r + y*j and give y.
-2
Rearrange -7*y**2 - 5 - 2 + 7*y**2 - 12*y**3 to d + t*y**2 + q*y + l*y**3 and give l.
-12
Express (-7 + 43 + 5)*(2 - 2*h - 2) as g*h + s and give g.
-82
Rearrange y* | {
"pile_set_name": "DM Mathematics"
} |
ssuming f is positive.
f**(-8/959)
Simplify q/q**(1/2)*q**(4/9) assuming q is positive.
q**(17/18)
Simplify (u**(-6/7))**4 assuming u is positive.
u**(-24/7)
Simplify ((q**(2/5))**(-8/3))**(-42) assuming q is positive.
q**(224/5)
Simplify (l/l**(4/11)*l)/(((l/l**20)/l*l*l)/l) assuming l is positive.
l**(227/11)
Simplify x**37*x*((x/((x**(-28)*x)/x))/x*x)/x assuming x is positive.
x**66
Simplify (v/((v**(1/4)/v)/v))**15/(v**10/v*v/(v/(v**4*v))) assuming v is positive.
v**(109/4)
Simplify z/(z*z**(-2))*z**(-4/13) assuming z is positive.
z**(22/13)
Simplify ((k*k**(4/7))/k*k/k**5)/(k*k**(2/25)*k**(-1/6)) assuming k is positive.
k**(-4559/1050)
Simplify d*d*d**(4/17)*d**(-6) assuming d is positive.
d**(-64/17)
Simplify o**(18/5)*o**17 assuming o is positive.
o**(103/5)
Simplify ((k*k*k*k**2)/k)**(-22)*(k/(k*k**(-2))*k)**(-7/3) assuming k is positive.
k**(-95)
Simplify (j**(-1))**(-50)/(j/(j*j*j**0)*j)**34 assuming j is positive.
j**50
Simplify (j/(j*j/(j*j**(34/5)/j)))/j**(-3) assuming j is positive.
j**(44/5)
Simplify (j*(j**(-1/3)/j)/j*j)/j*j*j**(3/5)*(j*j**(-2/7))**(-2/5) assuming j is positive.
j**(-2/105)
Simplify (h*h/((h/((h/(h**5*h))/h))/h)*h*h*h*h/h**(-1/2))/(h*h**(1/4)/h)**9 assuming h is positive.
h**(-7/4)
Simplify (s**1/((s*s**(-10)*s)/s*s))**2 assuming s is positive.
s**18
Simplify (m/(m/(m**(-8)/m))*m*m**(-3/4)/m)**13 assuming m is positive.
m**(-507/4)
Simplify (a**(2/7)/a)**(-16) assuming a is positive.
a**(80/7)
Simplify (i/(i**(2/7)*i*i)*((i*i/(((i*i**4)/i)/i))/i)/i*i*i*i*i*i)/(i**(-2/9)*i*(i*i/(i*i*i**3*i))/i) assuming i is positive.
i**(311/63)
Simplify (g**6)**(-29) assuming g is positive.
g**(-174)
Simplify (z*z/((z/(z*z**(-2/9)*z*z)*z)/z))/z*z**(5/3)*z*(z**(1/3)/z)**(-24) assuming z is positive.
z**(193/9)
Simplify (k**(-10))**(2/73) assuming k is positive.
k**(-20/73)
Simplify d**(-1)*d**(1/7) assuming d is positive.
d**(-6/7)
Simplify o*o**(-17)*o**(-42) assuming o is positive.
o**(-58)
Simplify (q/(q*q/q**11))**(-7/10) assuming q is positive.
q**(-7)
Simplify (x**2*x)**(-20/11) assuming x is positive.
x**(-60/11)
Simplify w**(18/11)*w*w*w*w*w*w*w**0 assuming w is positive.
w**(84/11)
Simplify x**(2/3)*x*x**1 assuming x is positive.
x**(8/3)
Simplify o**(-11)/(o*o*o/(o*o*o/(o**(-17/4)*o))) assuming o is positive.
o**(-31/4)
Simplify ((d*d*d/d**(-1/2)*d)/d*d/((d*d*d**4)/d*d))/((d/d**(-5))/d**(1/2)) assuming d is positive.
d**(-7)
Simplify (n**(-6)/n*(n/(n*n/n**(-3))*n)/n)**8 assuming n is positive.
n**(-88)
Simplify (((y*y**1*y)/y*y)/(y/(y*y**7*y)))/((y**(1/4)*y)/(y*y*y**(2/3)*y)) assuming y is positive.
y**(161/12)
Simplify (d/(d*d*d**(-1/3)))/(d*d*d**(-7)/d)*(d*(d/(d/(d**3*d)))/d)/((d*d**5)/d*d) assuming d is positive.
d**(10/3)
Simplify (b*b**(-2/9)/b)/b**(1/12) assuming b is positive.
b**(-11/36)
Simplify p/p**(-4)*p*p*p/(p*p/(p*p/(p**10/p))) assuming p is positive.
1/p
Simplify (u**1)**(-2)/((u/(u*u**(-2/5)))/u)**(12/13) assuming u is positive.
u**(-94/65)
Simplify i*i*i**(-3/16)*i*i/i**(2/5) assuming i is positive.
i**(273/80)
Simplify (w*w**1)**31/(w/w**(-3/4))**(2/73) assuming w is positive.
w**(9045/146)
Simplify ((v/v**(-1))/v)**(-1/3)/(v**(-5)/(v**3*v)) assuming v is positive.
v**(26/3)
Simplify (b/b**(-1))/b**4*b**(1/3)*b*b**(-1/2) assuming b is positive.
b**(-7/6)
Simplify (y/y**(-3/2))/((y*(y**8/y)/y)/y)*(y/y**1)/y**(-8) assuming y is positive.
y**(9/2)
Simplify ((q*q**(2/7)*q*q)/q**(-7))/(q**(2/3)/q**4) assuming q is positive.
q**(286/21)
Simplify (y/y**(2/5))**9 assuming y is positive.
y**(27/5)
Simplify ((z**(-13)*z)/z)/z*(z/z**26)/z assuming z is positive.
z**(-40)
Simplify (r/(r*r**(2/13)*r))**(4/3) assuming r is positive.
r**(-20/13)
Simplify ((g**(-2/9)/g)**(-18/7))**(1/14) assuming g is positive.
g**(11/49)
Simplify (w**8*w*w*w*w**(-1/4)*w)/(w**(-4)/(w**1/w)) assuming w is positive.
w**(63/4)
Simplify (g*g*g**8)/g**(4/5) assuming g is positive.
g**(46/5)
Simplify (b*b*(b/(b**(-3/5)/b))/b)**(4/7) assuming b is positive.
b**(72/35)
Simplify (w/(w**(-2/15)*w))**(-39) assuming w is positive.
w**(-26/5)
Simplify (x**(1/10)/x**(-2))/(x/(x*x*x**(-1)*x*x))**42 assuming x is positive.
x**(861/10)
Simplify (t*t/t**5*t)/t**2*t**(3/4)*t*t/(t*(t*t**(-3))/t) assuming t is positive.
t**(3/4)
Simplify (y*y**(3/5))/y**(7/4) assuming y is positive.
y**(-3/20)
Simplify (v/(((v**(1/3)*v)/v)/v)*v)**26/((v/(v/v**(-7)))/(v*v**(-2)*v)) assuming v is positive.
v**(229/3)
Simplify (v**(4/7))**(-33) assuming v is positive.
v**(-132/7)
Simplify ((v*v/(v*v*v*v/((v**(-1/9)/v)/v)))/v*v*v**(-7))**(-2/11) assuming v is positive.
v**(200/99)
Simplify (y**22/y*y)/(y*y**21*y*y) assuming y is positive.
y**(-2)
Simplify ((((d**1*d)/d*d)/d)/d)**(-46)/(d/((d/(d**1*d))/d))**(-1/67) assuming d is positive.
d**(3/67)
Simplify ((((s/(s*((s/s**0)/s)/s)*s)/s)/s*s*s*s)**(4/5))**33 assuming s is positive.
s**(396/5)
Simplify ((o/(o/(o**(2/3)/o)))**12)**0 assuming o is positive.
1
Simplify (y**3)**(-48) assuming y is positive.
y**(-144)
Simplify (m*m*m/(m*m**(-1/3)))**(-2/21)/((m/((m*m**6)/m)*m*m)/(m*m**(-3))) assuming m is positive.
m**(7/9)
Simplify ((f*f**(4/3))**(-1/64))**17 assuming f is positive.
f**(-119/192)
Simplify a*a**(-5)*a*a/((a/(a*a*a/(a*a*a*a**(-2/5)/a)))/a)*((a*a**(1/6)*a*a)/a)/a**0 assuming a is positive.
a**(47/30)
Simplify l/(l/l**6)*l**(-1/10)*l**(-1/4)*l*l**(-5) assuming l is positive.
l**(33/20)
Simplify c**(3/10)*c/(c/((c*c**(-3/13))/c))*c assuming c is positive.
c**(139/130)
Simplify (l**(-1)/(l*l**(2/13)))**13 assuming l is positive.
l**(-28)
Simplify (s/s**0)**26/((s/s**(-3/8))/(s/(s*s/(s/(s/(s**(-3/4)/s)))))) assuming s is positive.
s**(175/8)
Simplify (k*k*k**(1/7)*k*k/((k/(k*k**(-2/11)))/k))**(-5) assuming k is positive.
k**(-1910/77)
Simplify q**(-14)/((q**(-34)/q)/q*q) assuming q is positive.
q**21
Simplify t/(t/t**(-6))*t**(-4/13) assuming t is positive.
t**(-82/13)
Simplify (w**0)**(-4/7)*(((w*w*w/(w/(w/w**(-10/3)*w)))/w)/w)/w**2 assuming w is positive.
w**(10/3)
Simplify w**(9/4)*w*w**(-2/17) assuming w is positive.
w**(213/68)
Simplify m**(-2/15)*m*m*m/m**3*m*m*(m/m**(-1))**(4/5) assuming m is positive.
m**(52/15)
Simplify ((w*(w*w**(-3)/w)/w*w*w)/w*w*w*w/w**(-11))/(w*(w*w**(1/10)*w)/w*w*w**(4/5)) assuming w is positive.
w**(81/10)
Simplify (u**(-2))**(-1/2)*u**(3/4)*u/u**4 assuming u is positive.
u**(-5/4)
Simplify v**(-3/10)/v**(-21) assuming v is positive.
v**(207/10)
Simplify ((i**(-1/2)*i)/(i**3/i))**10 assuming i is positive.
i**(-15)
Simplify (t**(-4)*t)/(t*t/(t*t**5/t*t)*t)*(t**(2/11))**(1/8) assuming t is positive.
t**(1/44)
Simplify (z/(z**(2/3)/z))**(4/5)/(z**3/((z**(2/5)/z)/z)) assuming z is positive.
z**(-53/15)
Simplify z**(2/11)/((z/(z*z**(-15/2)*z)*z)/z*z*z) assuming z is positive.
z**(-183/22)
Simplify z**(1/2)/z**0*(z/(z*z**4))/z**(-1) assuming z is positive.
z**(-5/2)
Simplify i**(2/11)/(i/(i*i/(i*i**(-1/2))))*i**(-2/9)*i**(-4) assuming i is positive.
i**(-701/198)
Simplify ((l/l**(-2/5))/(l**(-1/3)*l))**18 assuming l is positive.
l**(66/5)
Simplify m**(17/2)/m**(-1/17) assuming m is positive.
m**(291/34)
Simplify (m*m/(m/m**(-15))*m)/(m**8*m*m) assuming m is positive.
m**(-23)
Simplify ((q**(-4)/q)**(-1/9))**(-14/11) assuming q is positive.
q**(-70/99)
Simplify ((w**(1/2))**(4/5))**(-1/11) assuming w is positive.
w**(-2/55)
Simplify (x*(x*x/x**(-4))/x*x)**(2/7) assuming x is positive.
x**2
Simplify s**10*s*s/(s**15/s) assuming s is positive.
s**(-2)
Simplify (j**5/j**(1/11))**(-15) assuming j is positive.
j**(-810/11)
Simplify (((r**(2/7)*r)/r*r)**(-2/93))**25 assuming r is positive.
r**(-150/217)
Simplify (c*c/(c/c**(-2/5))*c*c)**(13/2)*(c**(2/11)*c)/(c*c/((c/((c**6/c)/c))/c)) assuming c is positive.
c**(1329/110)
Simplify (l*l/l**(-2/17)*l*l/(l/(l*l*(l**(-3)*l)/l*l*l)))/((l/(l**(-3/4)*l))/(l/l**(-1/2))) assuming l is positive.
l**(331/68)
Simplify v*v**6*v**0*v*((v/(v*v**(-2/13)))/v)/v**(-3/7) assuming v is positive.
v**(690/91)
Simplify (m*(m**(3/8)/m)/m)**(-34) assuming m is positive.
m**(85/4)
Simplify (x/(((x**13*x)/x)/x))/((x**10*x)/x) assuming x is positive.
x**(-21)
Simplify (n**(-2)/n)/(n*n**7*n) assuming n is positive.
n**(-12)
Simplify c**6/(c/c**3) assuming c is positive.
c**8
Simplify ((u/(u*u**(-2/5)*u))/u)**(-1/15)/((u/((u/(u**2*u))/u))/u*u**(-9)) assuming u is positive.
u* | {
"pile_set_name": "DM Mathematics"
} |
True
Which is smaller: -1/180 or -35?
-35
Which is smaller: 331 or 334?
331
Which is bigger: -14.5 or -1/2?
-1/2
Is 2/2173 > 1?
False
Which is smaller: -60/37 or -1?
-60/37
Which is smaller: -0.1 or -2.6265?
-2.6265
Which is smaller: 35/13 or 2?
2
Are -49 and 4/5 equal?
False
Which is bigger: -377 or -379?
-377
Which is smaller: -1 or -0.03221?
-1
Is 45 < 13?
False
Is -672 >= -1343/2?
False
Which is bigger: 22 or 108?
108
Which is bigger: -51 or -523/10?
-51
Is -79 > -238/3?
True
Is 0 bigger than -72/385?
True
Is -5/623 less than -1?
False
Is -132/17 > -9?
True
Is -14434 greater than or equal to -14434?
True
Which is greater: -74/5 or -0.1?
-0.1
Which is smaller: 22 or -7/17?
-7/17
Are 0 and -3/7264 nonequal?
True
Which is smaller: 2/5 or 70?
2/5
Which is greater: -1/2 or 418?
418
Which is smaller: -27.21 or -5?
-27.21
Is -163 less than or equal to -173?
False
Which is greater: -1 or 2/177?
2/177
Which is bigger: -17 or -28?
-17
Which is smaller: 78 or 55?
55
Which is greater: -5/1767 or 0?
0
Which is smaller: 44 or 60?
44
Is 635 greater than 4?
True
Which is smaller: 560/101 or 5?
5
Which is bigger: -1578 or -1574?
-1574
Are 0 and 22/1049 nonequal?
True
Which is smaller: -226 or -31?
-226
Which is bigger: -24 or -40?
-24
Is 201 greater than 186?
True
Which is smaller: -0.0846 or -3?
-3
Is 7/3 equal to -19?
False
Are 1/274 and 1 non-equal?
True
Are -3/8 and -1 non-equal?
True
Is -6372 smaller than -6372?
False
Which is greater: -1 or -2/30607?
-2/30607
Which is bigger: -8/9 or -1?
-8/9
Are -859 and -859 equal?
True
Which is greater: 2730/31 or 87?
2730/31
Is 3 bigger than 125/78?
True
Which is bigger: 1 or -26/333?
1
Is 0 at most 1/21?
True
Which is greater: 4/3291 or 0?
4/3291
Which is smaller: 188 or 566/3?
188
Which is greater: -218 or -213?
-213
Is -1/2296 bigger than -1?
True
Which is greater: 2/735 or -1?
2/735
Is 54 less than -8?
False
Is 29/3 at most 1/2?
False
Which is smaller: 1/147 or 1?
1/147
Do 758 and 758 have different values?
False
Which is greater: 0.009 or 4?
4
Which is smaller: -1 or -5/576?
-1
Are -1786 and -1788 non-equal?
True
Which is bigger: 1/2433 or -1?
1/2433
Which is bigger: 41 or 962/23?
962/23
Is 60 at most 1/3?
False
Which is greater: 0.7 or 1/1265?
0.7
Which is bigger: -349 or -350?
-349
Is 302 less than 302?
False
Is -13 at most -603/49?
True
Which is smaller: 5/6478 or -1?
-1
Which is greater: 0 or -2/6301?
0
Which is smaller: 0 or 12?
0
Is 0 < 9/359?
True
Is -520 < -520?
False
Is -3255 less than -3255?
False
Is 982 at most -5?
False
Which is bigger: -1 or -126/281?
-126/281
Which is bigger: 1 or 2/245?
1
Which is greater: -0.115 or 0.4?
0.4
Which is greater: -123 or 1/4?
1/4
Which is greater: 6680 or 33406/5?
33406/5
Which is bigger: -982 or -983?
-982
Is 0 equal to 3/202?
False
Which is smaller: -1 or 17/1549?
-1
Is -12436/7 greater than -1778?
True
Are 1 and -10695 non-equal?
True
Which is greater: 0.1 or 33?
33
Is -23 greater than or equal to -0.07?
False
Which is bigger: -16 or -14?
-14
Which is smaller: -10 or 0.066?
-10
Is 243/2 != 122?
True
Are -137 and -6 nonequal?
True
Is 0 less than or equal to 1?
True
Which is greater: -2123 or -2121?
-2121
Is 0 at most as big as -43/38?
False
Is 3081 greater than 3081?
False
Is 1 less than 2/2837?
False
Is -20 >= -26?
True
Are 0.088 and -0.3 nonequal?
True
Which is bigger: 585 or 586?
586
Is 1 less than or equal to -5/4446?
False
Is 13 at least 186/13?
False
Which is smaller: 3/506 or 1?
3/506
Is -218 at least as big as -1309/6?
True
Is 103 > 1558/15?
False
Which is greater: 168 or 154?
168
Is 1 at least -26?
True
Which is greater: 22 or 28/9?
22
Which is smaller: -6891 or -6895?
-6895
Which is smaller: 106/21 or 5?
5
Which is bigger: -6 or 99?
99
Is 290 at least as big as 289?
True
Which is smaller: -36 or -2?
-36
Which is smaller: -1970 or -1966?
-1970
Which is smaller: 1 or -3/11461?
-3/11461
Is -29.3 bigger than 2?
False
Is 243 greater than or equal to 243?
True
Which is smaller: -293 or -21?
-293
Is 259 smaller than 262?
True
Which is bigger: 48/37 or 0?
48/37
Which is bigger: 6037 or 6040?
6040
Is 55 at most as big as 53?
False
Which is bigger: -704/23 or -30?
-30
Which is bigger: 881 or 880?
881
Is 3/16619 equal to -1?
False
Which is bigger: -74 or -15?
-15
Which is smaller: 551 or 549?
549
Which is greater: -1 or -1/47?
-1/47
Is 16 < -0.86?
False
Are -1 and 1/3012 nonequal?
True
Is -57 greater than 14/3?
False
Does 108 = 110?
False
Which is smaller: 128 or 134?
128
Are -0.1 and 1/23 nonequal?
True
Is -344 at most 13/3?
True
Is 5454 <= 5455?
True
Is 67 at most as big as 67?
True
Which is greater: 108/17 or 5?
108/17
Is 651 < 651?
False
Which is bigger: 0 or -1/123?
0
Which is smaller: 2/5 or 0.03?
0.03
Which is smaller: 18/1657 or -1?
-1
Is -25154 greater than -25153?
False
Which is smaller: -4 or -110?
-110
Is 4 greater than -3?
True
Is -30 bigger than -604/21?
False
Which is bigger: -4809 or -4816?
-4809
Is -216 less than or equal to -223?
False
Which is smaller: 12 or 175/16?
175/16
Are 0 and -65/1067 unequal?
True
Does -14 = -83/6?
False
Which is greater: -975 or -1/2?
-1/2
Which is smaller: 1/9213 or 1?
1/9213
Which is smaller: 0.98 or 3/8?
3/8
Which is smaller: -6.7 or 49?
-6.7
Is 557 greater than or equal to 556?
True
Is 1141 at most as big as 1140?
False
Does -5 = -14?
False
Which is bigger: 770 or 768?
770
Which is greater: 19 or 264?
264
Do -6491 and -6490 have different values?
True
Is 494 equal to 494?
True
Which is smaller: 10 or 0.7?
0.7
Which is smaller: 2621 or 23594/9?
2621
Does 1/3 = -140?
False
Which is smaller: -122.3 or 0.09?
-122.3
Is 1 at least as big as 3/7148?
True
Is -0.1 not equal to 1/800?
True
Which is smaller: -5/32 or 36?
-5/32
Is 13.973 less than 1?
False
Which is bigger: 5041 or 5042?
5042
Do -1 and 483 have different values?
True
Which is smaller: 172 or 173?
172
Which is greater: -14 or -6?
-6
Which is greater: -15/53 or 1?
1
Which is greater: 1/2 or -761.3?
1/2
Are -2587 and -2587 non-equal?
False
Is -261 at least as big as -9?
False
Which is smaller: 0 or -2/71?
-2/71
Which is bigger: -72/13 or -5?
-5
Is 3777 at most 3777?
True
Which is bigger: -61 or -23?
-23
Are -2 and -2 nonequal?
False
Is 45 at most as big as 75?
True
Is -3 less than or equal to 78/5?
True
Which is greater: -45/106 or 1?
1
Which is smaller: -3013 or -3012?
-3013
Which is smaller: 9 or -4/49?
-4/49
Is -1 at most -7/156?
True
Which is smaller: -1 or 90/559?
-1
Is 1/3 at most -154?
False
Do 3326 and 3330 have different values?
True
Is -15 equal to -11?
False
Is 0.2 != 13351?
True
Which is smaller: 17/26 or 2?
17/26
Is 1 less than -1/2656?
False
Which is bigger: -425/4 or -106?
-106
Which is greater: 1 or -5203?
1
Is 149 greater than 443/3?
True
Is 118 <= 154?
True
Which is smaller: 143 or -1/2?
-1/2
Is 1/69 greater than or equal to 0?
True
Which is smaller: 0 or -870?
-870
Are -30620 and -30620 nonequal?
False
Do -4893 and -2 have different values?
True
Which is smaller: 2839 or 2842?
2839
Is 98 != 41?
True
Is 5/16644 greater than 1?
False
Which is bigger: 67 or 4?
67
Is -203 less than -214?
False
Which is smaller: 181 or 182?
181
Is 5/5061 != -1?
True
Which is greater: 3/1888 or 1?
1
Is -0.0066 > 0.3?
False
Is 295 at least 252?
True
Is -4/5583 at least -1?
True
Is 0 <= -4/33?
False
Does 0 = 1558?
False
Which is smaller: 307 or -1?
-1
Is -6/5 at most as big as -40.3?
False
Which is bigger: 835 or 0?
835
Is -18 at least -9?
False
Is 0 < -6/217?
False
Which is smaller: 2353 or -2/3?
-2/3
Is -41 < -37?
True
Which is greater: 148 or 139?
148
Which is bigger: 1/2 or 17391?
17391
Which is bigger: 221 or 664/3?
664/3
Is 23 less than or equal to 0?
False
Which is bigger: 416 or 365?
416
Are 138 and 137 nonequal?
True
Which is bigger: 105/13 or 0?
105/13
Which is smaller: -1326 or -1324?
-1326
Are 559 and 558 nonequal?
True
Is 3 bigger than 104/47?
True
Which is bigger: 5 or -192?
5
Which is bigger: -16 or -129/8?
-16
Is 3 > -588?
True
Which is greater: -19 or -1/27?
-1/27
Which is greater: 24.7 or -2?
24.7
Which is smaller: -3998 or 0.3?
-3998
Is -4473 >= -4473?
True
Is 83 at least 748/9?
False
Is 22/97 >= 1?
False
Is -1697/4 <= -423?
True
Is -803 greater than -802?
False
Is -80 less than or equal to -79?
True
Which is smaller: 174 or 185?
174
Is -0.0458 > | {
"pile_set_name": "DM Mathematics"
} |
22?
6
What is the remainder when 1288061 is divided by 2618?
5
What is the remainder when 2963483 is divided by 246945?
143
Calculate the remainder when 76694 is divided by 14043.
6479
Calculate the remainder when 11931 is divided by 594.
51
Calculate the remainder when 107080 is divided by 595.
575
What is the remainder when 2484462 is divided by 148?
134
What is the remainder when 196063 is divided by 4108?
2987
What is the remainder when 26581322 is divided by 188520?
2
Calculate the remainder when 41405 is divided by 904.
725
What is the remainder when 17495995 is divided by 135?
130
Calculate the remainder when 340112 is divided by 213.
164
Calculate the remainder when 18314109 is divided by 166.
159
Calculate the remainder when 422120 is divided by 105526.
16
What is the remainder when 708330 is divided by 9703?
11
Calculate the remainder when 25533210 is divided by 20.
10
Calculate the remainder when 317091 is divided by 1331.
313
What is the remainder when 737266685 is divided by 1559?
1554
Calculate the remainder when 28368467 is divided by 335.
332
Calculate the remainder when 135769093 is divided by 38.
33
Calculate the remainder when 715287 is divided by 7860.
27
Calculate the remainder when 36441696 is divided by 852.
804
Calculate the remainder when 837380 is divided by 153.
11
Calculate the remainder when 72626668 is divided by 772.
768
What is the remainder when 100192 is divided by 3024?
400
What is the remainder when 156578 is divided by 15641?
168
What is the remainder when 22677 is divided by 11151?
375
Calculate the remainder when 269125 is divided by 237.
130
What is the remainder when 7935131 is divided by 24875?
6
What is the remainder when 439487263 is divided by 105?
103
Calculate the remainder when 832252 is divided by 208039.
96
Calculate the remainder when 694628 is divided by 651.
11
What is the remainder when 79296 is divided by 26420?
36
Calculate the remainder when 20991 is divided by 775.
66
What is the remainder when 1775375 is divided by 2?
1
What is the remainder when 2839414 is divided by 45796?
62
Calculate the remainder when 10291232 is divided by 781.
776
Calculate the remainder when 935630135 is divided by 358.
357
Calculate the remainder when 38829448 is divided by 137.
86
Calculate the remainder when 183659769 is divided by 976.
969
Calculate the remainder when 1654026257 is divided by 3577.
3572
What is the remainder when 1843127 is divided by 360?
287
What is the remainder when 446022 is divided by 21237?
45
What is the remainder when 2898061 is divided by 2898058?
3
Calculate the remainder when 1254419 is divided by 418133.
20
Calculate the remainder when 393500 is divided by 469.
9
What is the remainder when 3902792 is divided by 21?
5
What is the remainder when 1461233 is divided by 902?
895
Calculate the remainder when 127772 is divided by 60.
32
What is the remainder when 89870451 is divided by 9?
6
What is the remainder when 235339 is divided by 77555?
2674
Calculate the remainder when 53379 is divided by 12768.
2307
What is the remainder when 75876551 is divided by 4343?
4341
Calculate the remainder when 12360521 is divided by 29.
25
What is the remainder when 369626 is divided by 238?
12
Calculate the remainder when 61941942 is divided by 195.
192
What is the remainder when 14048480 is divided by 7?
5
What is the remainder when 497811 is divided by 380?
11
What is the remainder when 40141 is divided by 5011?
53
Calculate the remainder when 162261 is divided by 415.
411
What is the remainder when 4292006 is divided by 58000?
6
Calculate the remainder when 9824 is divided by 4905.
14
Calculate the remainder when 1593184 is divided by 989.
894
Calculate the remainder when 47385314 is divided by 423.
8
Calculate the remainder when 164003 is divided by 163041.
962
What is the remainder when 928324 is divided by 28129?
67
Calculate the remainder when 73952 is divided by 24387.
791
Calculate the remainder when 396559 is divided by 132158.
85
Calculate the remainder when 874470 is divided by 145710.
210
Calculate the remainder when 90683 is divided by 182.
47
Calculate the remainder when 52579594 is divided by 53.
43
Calculate the remainder when 447867 is divided by 447003.
864
Calculate the remainder when 1881656 is divided by 12136.
576
Calculate the remainder when 1790957 is divided by 62.
25
What is the remainder when 172745 is divided by 122?
115
Calculate the remainder when 22205 is divided by 22070.
135
What is the remainder when 1393644 is divided by 174201?
36
Calculate the remainder when 330355 is divided by 15731.
4
Calculate the remainder when 1547735 is divided by 38.
33
What is the remainder when 136916937 is divided by 15628?
29
What is the remainder when 7946130 is divided by 107380?
10
What is the remainder when 66140368 is divided by 2363?
2361
What is the remainder when 1927403 is divided by 3016?
179
What is the remainder when 1242487 is divided by 451?
433
Calculate the remainder when 2743393 is divided by 446.
47
What is the remainder when 819573 is divided by 52?
1
What is the remainder when 634892 is divided by 13794?
368
What is the remainder when 2086837 is divided by 521708?
5
What is the remainder when 148218 is divided by 2355?
2208
Calculate the remainder when 82734 is divided by 4584.
222
What is the remainder when 5275826 is divided by 97?
93
What is the remainder when 138349 is divided by 23051?
43
Calculate the remainder when 385333 is divided by 1059.
916
What is the remainder when 29403198 is divided by 3540?
3498
Calculate the remainder when 1327390 is divided by 15612.
370
What is the remainder when 189774 is divided by 62320?
2814
Calculate the remainder when 3090574 is divided by 7024.
14
Calculate the remainder when 23927964 is divided by 516.
12
Calculate the remainder when 287838 is divided by 28780.
38
Calculate the remainder when 4238379 is divided by 1059590.
19
Calculate the remainder when 1721592 is divided by 54.
18
Calculate the remainder when 83970 is divided by 1185.
1020
What is the remainder when 739821 is divided by 5918?
71
What is the remainder when 14499847 is divided by 3567?
3559
What is the remainder when 987481 is divided by 493737?
7
Calculate the remainder when 127825937 is divided by 110.
107
What is the remainder when 16098267 is divided by 2742?
2727
Calculate the remainder when 73011509 is divided by 253.
10
What is the remainder when 66993 is divided by 1065?
963
What is the remainder when 2329774 is divided by 29?
1
Calculate the remainder when 1325901 is divided by 78.
57
What is the remainder when 91629840 is divided by 105?
15
What is the remainder when 55935122 is divided by 14?
12
What is the remainder when 999251 is divided by 35?
1
What is the remainder when 68632357 is divided by 75?
7
Calculate the remainder when 2321081 is divided by 2717.
763
What is the remainder when 219590 is divided by 4354?
1890
Calculate the remainder when 2793059 is divided by 994.
913
What is the remainder when 42911 is divided by 2624?
927
Calculate the remainder when 101706 is divided by 1418.
1028
Calculate the remainder when 237016 is divided by 377.
260
What is the remainder when 3971925 is divided by 1271?
50
What is the remainder when 6665002 is divided by 1038?
4
Calculate the remainder when 127047 is divided by 1286.
1019
What is the remainder when 688750 is divided by 48?
46
What is the remainder when 1529190 is divided by 1562?
1554
Calculate the remainder when 882632 is divided by 4880.
4232
What is the remainder when 81921 is divided by 386?
89
What is the remainder when 959373 is divided by 7560?
6813
What is the remainder when 6526145 is divided by 37?
11
What is the remainder when 56582 is divided by 27639?
1304
Calculate the remainder when 28593 is divided by 1990.
733
What is the remainder when 918372 is divided by 23548?
0
Calculate the remainder when 7260631 is divided by 1881.
1852
Calculate the remainder when 201700 is divided by 67167.
199
What is the remainder when 17939397 is divided by 4484844?
21
Calculate the remainder when 1849646 is divided by 5622.
8
What is the remainder when 12787039 is divided by 53279?
79
What is the remainder when 20726892 is divided by 3815?
3812
What is the remainder when 2513173 is di | {
"pile_set_name": "DM Mathematics"
} |
in 536.5474 micrograms?
536547.4
What is 47925.08 hours in seconds?
172530288
Convert 4327.494ug to grams.
0.004327494
Convert 5526.683 micrograms to kilograms.
0.000005526683
Convert 868.93155 minutes to days.
0.6034246875
Convert 0.7144583 grams to nanograms.
714458300
What is 5/8 of a kilogram in grams?
625
Convert 13.501566 months to years.
1.1251305
How many micrometers are there in 6/5 of a millimeter?
1200
How many microseconds are there in 5/8 of a millisecond?
625
How many minutes are there in 4/3 of a day?
1920
Convert 0.305865 years to decades.
0.0305865
What is 295109.6mm in micrometers?
295109600
How many milligrams are there in 6/25 of a gram?
240
What is 3/32 of a millennium in months?
1125
What is 7/2 of a decade in months?
420
What is 6327.737 centuries in months?
7593284.4
How many seconds are there in twenty-three thirds of a minute?
460
What is 204900.72ns in minutes?
0.000003415012
How many millilitres are there in five eighths of a litre?
625
What is 3/40 of a millennium in months?
900
What is 59.51867m in nanometers?
59518670000
How many years are there in one twentieth of a century?
5
What is 412654.7 millimeters in micrometers?
412654700
What is 17802.1 centimeters in meters?
178.021
Convert 67711.01 milliseconds to seconds.
67.71101
How many micrograms are there in 3/10 of a milligram?
300
How many millilitres are there in 7/4 of a litre?
1750
How many litres are there in 79.56589 millilitres?
0.07956589
How many years are there in thirteen quarters of a millennium?
3250
What is 0.5079234t in micrograms?
507923400000
How many millilitres are there in one tenth of a litre?
100
What is 5/28 of a week in minutes?
1800
What is 7/4 of a week in hours?
294
Convert 33.30144 litres to millilitres.
33301.44
What is three tenths of a millimeter in micrometers?
300
What is 8360.37ml in litres?
8.36037
How many tonnes are there in 797.371ng?
0.000000000000797371
How many hours are there in twenty-five halves of a day?
300
What is 0.1855539t in grams?
185553.9
How many millilitres are there in 3/40 of a litre?
75
What is 1/20 of a gram in milligrams?
50
How many centimeters are there in 44.71605mm?
4.471605
How many years are there in 29/2 of a millennium?
14500
What is 3.169007 hours in seconds?
11408.4252
How many seconds are there in 404589.1 weeks?
244695487680
How many milligrams are there in 0.6987564 micrograms?
0.0006987564
What is 3/10 of a gram in milligrams?
300
How many years are there in twenty-nine halves of a century?
1450
Convert 150954.6969ns to weeks.
0.00000000024959440625
How many centimeters are there in seventeen halves of a meter?
850
How many micrometers are there in 7891.567 kilometers?
7891567000000
How many nanometers are there in 7.88496cm?
78849600
What is 97133.3 litres in millilitres?
97133300
How many meters are there in 805.6296 kilometers?
805629.6
How many millimeters are there in 13/4 of a meter?
3250
What is 21856.61 years in months?
262279.32
How many decades are there in three fifths of a millennium?
60
What is 1/5 of a milligram in micrograms?
200
How many centimeters are there in 31/5 of a meter?
620
How many millilitres are there in 3/8 of a litre?
375
How many decades are there in 5.202064 years?
0.5202064
What is 3/32 of a millimeter in nanometers?
93750
What is twenty-two ninths of a day in minutes?
3520
What is 29.8001 years in months?
357.6012
How many kilograms are there in 19/4 of a tonne?
4750
How many months are there in twenty-one eighths of a century?
3150
What is 1/20 of a kilometer in meters?
50
How many micrometers are there in 99720.12m?
99720120000
How many meters are there in fourty-four fifths of a kilometer?
8800
What is 7/4 of a century in years?
175
What is 47/4 of a meter in millimeters?
11750
How many micrometers are there in 21/4 of a centimeter?
52500
What is 8.097806 centuries in months?
9717.3672
How many months are there in one twentieth of a millennium?
600
What is seventy-five quarters of a second in milliseconds?
18750
What is one sixteenth of a milligram in nanograms?
62500
What is 0.2731558ml in litres?
0.0002731558
What is 0.1930997 microseconds in nanoseconds?
193.0997
What is twenty-seven quarters of a centimeter in micrometers?
67500
What is 3/32 of a tonne in grams?
93750
What is 2496.11 days in seconds?
215663904
What is 3/10 of a millennium in centuries?
3
How many months are there in 6/5 of a millennium?
14400
What is twenty-seven fifths of a century in decades?
54
How many months are there in thirty-two fifths of a millennium?
76800
How many litres are there in 0.488951ml?
0.000488951
Convert 0.6027706mm to centimeters.
0.06027706
What is 21/4 of a millennium in months?
63000
What is 6/5 of a hour in seconds?
4320
What is 27.69987 micrometers in nanometers?
27699.87
How many seconds are there in 336.272 weeks?
203377305.6
What is 1/5 of a litre in millilitres?
200
What is 77/3 of a minute in seconds?
1540
What is 3334.041 millimeters in kilometers?
0.003334041
How many years are there in 5/8 of a millennium?
625
Convert 79977.68 decades to millennia.
799.7768
What is 8/25 of a microsecond in nanoseconds?
320
How many minutes are there in 874.0219 days?
1258591.536
How many years are there in 1/10 of a decade?
1
What is 172731.9 years in millennia?
172.7319
What is 4188.14 weeks in milliseconds?
2532987072000
Convert 68360109.3s to weeks.
113.02928125
How many centuries are there in 27463.96 years?
274.6396
How many tonnes are there in 569364.8 kilograms?
569.3648
How many millimeters are there in 61266.07 centimeters?
612660.7
Convert 0.3061621l to millilitres.
306.1621
How many grams are there in 419252.3ug?
0.4192523
What is 0.090633nm in micrometers?
0.000090633
What is 24315.8 litres in millilitres?
24315800
How many millilitres are there in three tenths of a litre?
300
How many tonnes are there in 983.4655 micrograms?
0.0000000009834655
What is 1/4 of a minute in milliseconds?
15000
Convert 77.61109 years to millennia.
0.07761109
Convert 75504.68kg to nanograms.
75504680000000000
How many millimeters are there in 865822.7 micrometers?
865.8227
Convert 8004.63 micrometers to meters.
0.00800463
How many millilitres are there in 33/5 of a litre?
6600
How many millilitres are there in thirty-one halves of a litre?
15500
How many millilitres are there in 15/4 of a litre?
3750
What is fifty-two fifths of a microgram in nanograms?
10400
What is 43/4 of a microsecond in nanoseconds?
10750
Convert 76347.58l to millilitres.
76347580
Convert 2073.555ml to litres.
2.073555
What is twenty-three thirds of a century in months?
9200
What is five eighths of a kilogram in grams?
625
How many meters are there in 3/50 of a kilometer?
60
How many litres are there in 0.4097395 millilitres?
0.0004097395
How many nanometers are there in 8493.295mm?
8493295000
What is 51/2 of a litre in millilitres?
25500
How many months are there in 6/25 of a century?
288
How many meters are there in 11/10 of a kilometer?
1100
Convert 241714.6t to micrograms.
241714600000000000
What is 0.8671344 litres in millilitres?
867.1344
How many seconds are there in 7.020125 milliseconds?
0.007020125
What is 0.2776432um in centimeters?
0.00002776432
How many months are there in twenty-three thirds of a millennium?
92000
What is eighteen fifths of a millimeter in micrometers?
3600
What is 49/5 of a microgram in nanograms?
9800
What is fifteen quarters of a tonne in kilograms?
3750
What is 293.7131l in millilitres?
293713.1
What is 77/2 of a microsecond in nanoseconds?
38500
How many nanometers are there in 52760.12 millimeters?
52760120000
How many months are there in one fifth of a millennium?
2400
How many micrometers are there in 27/5 of a millimeter?
5400
What is 8/25 of a kilogram in grams?
320
What is 228041.1us in minutes?
0.003800685
What is 332169.9 months in years?
27680.825
How many nanograms are there in thirty-seven halves of a microgram?
18500
What is 6/25 of a meter in centimeters?
24
How many centimeters are there in 97/2 of a meter?
4850
How many millimeters are there in 3/32 of a kilometer?
93750
Convert 140.0467 centuries to months.
168056.04
How many micrograms are there in 8/25 of a milligram?
320
What is 69548.42ml in litres?
69.54842
How many millilitres are there in | {
"pile_set_name": "DM Mathematics"
} |
s*h - 3*h for h.
-1
Suppose 48 = 3*b + 4*k, 6 = k + 3. Let u(r) = r**2. Let p be u(2). Suppose -t = -p*t + 6. Solve -t*m - b + 2 = 0 for m.
-5
Suppose 4*j = 4*g + 32, g + 4 = 4*j - 22. Solve 2*c = -4 - j for c.
-5
Suppose -s - 2*s + 2 = -2*n, -4*s + 3*n = -2. Solve 6 = 4*a - s for a.
2
Let j = 5 + -3. Let w = -26 - -28. Let i = w - j. Solve i*g - 5 = g for g.
-5
Let j be (-208)/39*(-5 - (-1 - 1)). Solve -2*s - 2*s = j for s.
-4
Suppose 5*h + 15 = -0. Let q = 1 - h. Suppose q*b + 0*b = 2*w - 26, 3*b = 5*w - 37. Solve w*g + 19 = 4 for g.
-3
Let j be (-1)/1 + -1 + 2. Suppose -4*v - 4 + 20 = j. Solve 2 + v = -2*g for g.
-3
Suppose -4*s - 20 = -4*n, -n = -4*s + 5*s - 1. Let d = 12 + -5. Solve -d*x = -n*x for x.
0
Suppose 48 = 4*k - 12. Suppose 7*j + k = 12*j. Solve 2 = -5*m - j for m.
-1
Suppose -3*g + 2*f = -10, 6*g - 2*g - 5*f - 18 = 0. Suppose v + 4 = 0, o - 44 = -2*o + 5*v. Let y = o + -5. Solve 0 = y*c + g*c - 5 for c.
1
Let l = 4 - 12. Let y = -5 - l. Solve -y*k = -k - 2 for k.
1
Let p(v) = -v**3 - 9*v**2 - v - 6. Let l be p(-9). Suppose -l*t = -3 - 3. Solve -5*o + 6 = -t*o for o.
2
Suppose 43 = 5*a - 17. Let s = -11 + a. Solve -f - s = -6 for f.
5
Let p be 6/4*1*2. Let a(d) = -d**2 - 15*d - 14. Let y be a(-14). Suppose y = 10*z - 4*z - 150. Solve -8*r + z = -p*r for r.
5
Let i be (3/(-2) - 1)*-2. Solve i = -5*t - 5 for t.
-2
Let r be -24 - (0 + -1 + 2). Let u be 4/(-10)*r/5. Solve u*g - g = -1 for g.
-1
Let y(i) = i + 7. Let l(m) = 2*m + 7. Let o(r) = -2*l(r) + 3*y(r). Let p be o(-5). Solve p - 4 = -4*f for f.
-2
Suppose -3*m - 3 = -4*m. Solve m*o - 10 = -2*o for o.
2
Suppose 0 - 2 = -2*z. Let p = 2 + -2. Suppose p = k + k - 8. Solve -h = -z + k for h.
-3
Suppose 0 = -4*l - 40 + 72. Solve -6*y + 2*y = l for y.
-2
Let p(v) = -v**3 - v**2 + 2*v - 7. Let d be p(-3). Solve -4*b = b + d for b.
-1
Suppose -3*j - 7 = -19. Suppose i = -j*b + 8, -b = b - 2*i - 4. Let r = b + 0. Solve r*q + 5 = 3 for q.
-1
Let t(l) = l**2 - 12*l + 2. Let x be t(12). Suppose -r - 2 = -6. Suppose -4*z + 4 = -r. Solve m - z*m = x for m.
-2
Suppose b = 9*b - 16. Solve 3*y + b + 7 = 0 for y.
-3
Suppose 0 = -2*j + j + 2. Solve 2 = j*b + 8 for b.
-3
Let o be (-50)/(-3) - 2/3. Let n = o - 7. Suppose -3*a - 2*a + 4*p = -45, a - 3*p - n = 0. Solve -5*k = a + 16 for k.
-5
Let i = 165 + -160. Solve 0 = -6*q + i*q + 3 for q.
3
Let f be (-2 + 4 - 3) + 6. Suppose 5*j = f*x - 15, 7*j + 12 = 5*x + 3*j. Suppose x = z - 3. Solve z*s + s = 20 for s.
5
Suppose -t + 0 = 4. Let a(l) = 13 - 13 + l - 2*l. Let k be a(t). Solve -r - r - k = 0 for r.
-2
Suppose 4*w + 5*n + 0 = 4, -5*w + 50 = -5*n. Solve -c - c - w = 0 for c.
-3
Let k(j) = 3*j - 19. Let r be k(7). Solve 2*s + 8 + r = 0 for s.
-5
Let f(x) = 2*x**2 - 5 + 4 - 11*x**2 + 18*x. Let k(v) = -4*v**2 + 9*v - 1. Let r(i) = 3*f(i) - 7*k(i). Let j be r(9). Solve 7*g - 9 = j*g for g.
3
Let c be (-17 + -1)/((-1)/(-1)). Let u = -3 - c. Solve 6 = 3*d + u for d.
-3
Let i be 1 - (1 + -4 + 2). Let m be (1/(-2))/(i/(-8)). Solve m*p = -p + 6 for p.
2
Suppose 0*u + u - 3 = 0. Suppose 0 = -p + u. Solve p*b - 17 = -5 for b.
4
Let x = 1 + 0. Let o be (x - 5)/(1 + -2). Solve 2 = -2*r + o*r for r.
1
Let i = -5 - -7. Solve -6*m - i = -7*m for m.
2
Let a(v) = -2*v - 2 + 3*v - 1. Let k be a(11). Solve 2*w = 4*w - k for w.
4
Suppose -4*v + 3*v = -5. Solve 3*k + v + 7 = 0 for k.
-4
Suppose -j + 26 - 1 = 5*x, 4*j - 5*x = 0. Solve 0*g + j*g = -10 for g.
-2
Let b = 11 - 7. Suppose 2*i + b = 2*f, 0 = -i - f - 4 + 10. Suppose -4*o + 12 = -2*o. Solve -2*a - i = o for a.
-4
Let r(x) = -x + 9. Let p be r(5). Solve -4 = -p*w - 0 for w.
1
Let c = -22 - -34. Suppose f - 4*f = 0. Suppose -o + 4*o + 3*k = 12, o - 4*k + 1 = f. Solve -c - 3 = o*n for n.
-5
Suppose 0 = 5*s - 7*s. Suppose -2*g + 32 - 12 = s. Suppose -5*x + 0 = -g. Solve 3*b - x = -8 for b.
-2
Let n = 28 + -24. Solve n = 2*v - 2 for v.
3
Let j(c) = c. Let f be j(-12). Let r be (-2)/(-2*(-3)/f). Solve l + r*l = 0 for l.
0
Let j = -1 - 7. Let q be ((-30)/j)/(1/4). Suppose 2*g + 3*g + q = -4*l, 3 = -g. Solve l = -3*v + v for v.
0
Let y be (3/2)/((-9)/(-30)). Solve 0 = y*b + 25 - 10 for b.
-3
Let h(c) = -2*c - 1. Let m be h(-3). Suppose m*u = 6 + 39. Solve 3*k + 6 = -u for k.
-5
Suppose -5*z + 31 = 11. Suppose -5*q = 9 - 4, 0 = 2*t + z*q + 4. Solve -3*j = -3 - t for j.
1
Suppose 2*c + c - 21 = 0. Let g be 3/(-9) + 2/6. Suppose g = 2*d - 0*d - 4. Solve 1 = -d*n + c for n.
3
Let b = 0 - -1. Suppose 2 = -3*i - b. Let f = 3 + i. Solve -3*v + v = -f for v.
1
Let j = -4 - -9. Suppose 0 = 5*p - j - 0. Let a be -14*(p/2 - 1). Solve -2*i = -a*i + 15 for i.
3
Let s(w) = -2*w**2 - 8*w. Let t be s(-4). Let u = -6 - -8. Solve 3*h - u*h - 4 = t for h.
4
Let g = -2 + 5. Suppose 0 = 2*y + g*j - 15, -5*y - j = -2*j + 5. Solve 3*m - 6 = -y*m for m.
2
Suppose -4*r = -3*r + 2. Let i = 0 - r. Solve i*k = 5*k - 12 for k.
4
Suppose 0*b + 2*b - 4 = 0. Let r be -1*(1 + 3/(-3)). Solve v - 2*v - b = r for v.
-2
Let c be (-4)/(-10)*(-4 + -1). Let x be (5/(10/(-8)))/c. Solve 2*m + x*m + 4 = 0 for m.
-1
Suppose 2*q - 10 = -0*q. Suppose -q = -2*d + 1. Suppose -d*i + f = -5, 0 = i - 5*i + f + 7. Solve o = -o - i for o.
-1
Suppose -3*i - 7 = 2*j, 0 = -j - 0*j + 4*i + 24. Suppose -j*y = -18 - 18. Solve -4*m + y*m = 0 for m.
0
Let q be (24/10)/((-2)/(-10)). Suppose -4*v + q = -0*v. Solve -3*x = -0 - v for x.
1
Let h(c) = -7*c**2 - 4*c - 6. Let v be (-20)/3 - 4/(-6). Let y(f) = -13*f**2 - 7*f - 11. Let r(t) = v*y(t) + 11*h(t). Let b be r(3). Solve -l + 16 = b*l for l.
4
Let o be 3/(-4) + 756/48. Suppose -3*p + 5*n - 17 = 0, 0*p - 13 = 3*p - 4*n. Solve 4*f = -p - o for f.
-4
Suppose 0*o + 2*o - 5*d - 1 = 0, 0 = -2*o - 2*d + 8. Solve -o*x = -4 + 1 for x.
1
Let g be 0*(3/2 + -1). Solve g*j - 16 = 4*j for j.
-4
Let q(d) = -6*d - 1. Suppose -4 = 4*g - 0*g. Let k be q(g). Suppose k*r = 3 + 17. Solve r*o + 10 = -o for o.
-2
Suppose 10*u + 27 = 13*u. Solve -2*j + u = j for j.
3
Let h be (10/(-6))/((-5)/(-15)). Let v = 9 + h. Let c = -1 + 1. Solve c = -8*r + v*r for r.
0
Let g(l) = l**2 - 6*l + 8. Let o be g(5). Solve -o*v = -v + 10 for v.
-5
Let y be -2 - (0 + 88/(-4)). Solve -3*i = i + y for i.
-5
Suppose -5*h + 22 - 2 = 0. Solve 5*c = h*c + 1 for c.
1
Suppose -3*u = -16 - 23. Suppose -2*l - 2*l = -28. Solve l = 4*s - u for s.
5
Let c(v) = -v**2 + 4*v + 10. Let d be c(5). Solve 12 = d*i + 27 for i.
-3
Let v = 6 - -6. Let y(i) = i - 9. Let c be y(7). Let r = 2 + c. Solve r = -4*o + v + 8 for o.
5
Let l be (2 - -1)*(-28)/(-21). Suppose 5*u + 4*s - 12 = 0, -l*u - 2*s + 6 = -0*u. Suppose u*n + n - 3 = 0. Solve 0 = -n*h - 15 + 3 for h.
-4
Suppose -3*x = -z - 9, 2*z - z - 9 = -3*x. Solve 0 = -x*y + 14 + 1 for y.
5
Suppose 0*g + 2 = -2*g. Let f be (-1)/g - -13*3. Let q be (f/(-32))/(1/(-16)). Solve -q = -8*b + 3*b for b.
4
Suppose 0 = q - 3. Suppose 9 = 42*i - 39*i. Solve q*g = i - 0 for g.
1
Suppose -48 + 44 = -j. Solve 5*z - 1 = j for z.
1
Let q(p) = 2*p**2 - 4*p - 1. Let m be q(3). Suppose -3*k = 2*r - 16, -2*r = 2*r - m*k - 32. Solve 8*x - 4*x = -r for x.
-2
Suppose t - 2*j + 21 = 1, 3*t = -5*j - 16. Let o = t - -16. Solve -3*n + 2 = -o for n.
2
Let z(d) = -d - 4. Let x(t) = 3*t - 1. Let b be x(-1). Let i be z(b). Solve i = -4*n + 4 for n.
1
Suppose 4*d - 2 = 6*d. Let m be (0 - d) + -2 + 1. Solve m = 3*h - h + 2 for h.
-1
Let m be 2/(((-3)/(-4))/((-9)/(-8))). Solve 3*i = 4*i + m for i.
-3
Suppose 0 = -3*m - p - 3, 0*m - m + p + 3 = 0. Suppose 4*f + 9 = 4*q - 11, -4*q - 3*f + 20 = m. Solve 0 = q*o - 6 - 14 for o.
4
Suppose 28 = 6*o + o. Solve o*h + 2 - 6 = 0 for h.
1
Let r(f) = f - 3. Let w be r(12). Solve w = -3*k - 3 for k.
-4
Let z(n) = 5*n**2 - 3*n + 1. Let k be z(2). Solve 3*p = 6*p - k for p.
5
Let p = 34 + -20. Let g = -12 + p. Solve 4 = 3*s - g for s.
2
Let o(j) = j**2 - 5*j - 7. Let s be o(6). Let r be (0 - s)*(-2)/(-2). Solve 0 = -w + 2 - r for w.
1
Let k(q) be the second derivative of q**3/6 + 2*q**2 - q. Let x = 1 + -3. Let r be k(x). Solve s - r*s - 2 = 0 for s.
-2
Suppose -4*a + 21 = t - 0, 5*a - 4*t = 0. Solve 15 = p - a*p for p.
-5
Suppose 5*f - 7 = 13. Let i = f - 0. Let h(l) = l**3 - 3*l**2 - 2*l + 4. Let b be h(4). Solve -a + i*a = b for a.
4
Let d be (3/2)/((-2)/(-12)). Suppose -4*s + s - d = 0. Let b be 22 + (1 - 0) + s. Solve 4*x = -x + | {
"pile_set_name": "DM Mathematics"
} |
to -8? (a) -12/13 (b) -2/9 (c) 0.1 (d) 2/3
a
What is the nearest to 2/9 in -9, 4, 0.004?
0.004
What is the closest to 2 in -3, 0, -5?
0
What is the nearest to 3/2 in 0.1, -1/3, 0.4, 0.06?
0.4
What is the nearest to -1.14 in 2, -8, -3?
-3
Which is the nearest to -0.1? (a) 5 (b) -2 (c) 0.022
c
Which is the nearest to -0.6? (a) 0.1 (b) 3/7 (c) 20
a
Which is the nearest to 3/10? (a) 16 (b) 5 (c) -5/3
c
Which is the nearest to 266? (a) -3/5 (b) 3 (c) -5 (d) 1/2
b
What is the closest to 50 in 5, -1, -2?
5
What is the closest to -0.2 in 9, -0.01, -0.2?
-0.2
Which is the nearest to -0.2? (a) 1 (b) -0.03 (c) -1/5
c
What is the closest to -9 in 30, -0.01, 2/13?
-0.01
What is the nearest to -0.1 in -0.04, -4/7, 4/7, 8/3?
-0.04
Which is the nearest to 4? (a) -5 (b) 9 (c) 0.11
c
Which is the nearest to 0? (a) -0.5 (b) 2/13 (c) -5
b
Which is the closest to 0.1? (a) 0.4 (b) 2 (c) -10
a
Which is the nearest to 0.1? (a) -1 (b) 0.1 (c) 0.05 (d) 4
b
What is the closest to -2 in 4, -5, 2?
-5
What is the nearest to -1 in -1/4, -3, -6/5, 4?
-6/5
What is the nearest to 4 in 1, 2/7, -4/7?
1
Which is the nearest to -5/2? (a) -27 (b) 1/2 (c) -3
c
Which is the nearest to -1/4? (a) -5 (b) 2/15 (c) -40
b
Which is the nearest to 4/5? (a) -3 (b) 1/5 (c) 3/4 (d) -2/11
c
Which is the nearest to 6? (a) -4.6 (b) 5 (c) 3/7 (d) 1
b
Which is the closest to 2/3? (a) -0.6 (b) 1/8 (c) 2 (d) 0.7
d
What is the closest to -2/7 in -3/7, -5, -0.5, -103?
-3/7
What is the closest to 2 in 2, -0.4, 2/3, 3?
2
What is the closest to 12 in 1/9, -2/3, -4/5?
1/9
Which is the nearest to 2? (a) -0.2 (b) 0.3 (c) 1/96 (d) 1/2
d
What is the nearest to 0.2 in -2, 61, -1?
-1
What is the nearest to 1 in -4, -0.05, 5?
-0.05
What is the nearest to -10 in 0.3, 0.05, 2/7?
0.05
What is the nearest to 0 in 0.5, 0.2, -4?
0.2
Which is the nearest to 1? (a) -0.06 (b) 42 (c) 0
c
Which is the nearest to -1? (a) 11 (b) 0.1 (c) -0.3
c
Which is the closest to 0? (a) 2/17 (b) -0.2 (c) -137/3 (d) -1/8
a
What is the nearest to -1 in 5, 287, 1?
1
What is the closest to 3 in -2, -0.1, 0.1, 6?
0.1
Which is the closest to -2? (a) -3/16 (b) -5/6 (c) -1/4
b
What is the closest to 0 in -87, -1/10, 0.4?
-1/10
Which is the closest to -0.1? (a) -4 (b) 4/7 (c) -12 (d) 3/56
d
Which is the nearest to 0.83? (a) 5 (b) 2/9 (c) -0.1
b
Which is the closest to 0? (a) -1 (b) 0.4 (c) 65 (d) 2/3
b
What is the closest to 3 in -7, -5, -1?
-1
What is the closest to 2 in -4/3, -3, -3/44?
-3/44
Which is the closest to -2/7? (a) 0.4 (b) -2/15 (c) -35/2
b
What is the closest to -69 in -4, 0.07, 1/4?
-4
Which is the closest to 1.6? (a) 2/3 (b) -6 (c) 3
a
What is the nearest to 1/6 in -1/5, -3, 0.3, -3/7?
0.3
Which is the nearest to 12? (a) 1/3 (b) -1/3 (c) 3
c
What is the closest to 26 in -3, 0.3, 0.2?
0.3
Which is the nearest to 0? (a) 1/116 (b) 3 (c) -0.6
a
What is the nearest to -1 in 6, 5, -3?
-3
What is the closest to 1 in -9/4, -2/15, 5?
-2/15
Which is the closest to -41? (a) -0.2 (b) -2/9 (c) -1 (d) -3
d
What is the nearest to -2243 in 0.4, -0.5, 5?
-0.5
What is the closest to -0.1 in 2, 5, 0.4, -5?
0.4
What is the nearest to 2/5 in -5, 0.208, 5, -4?
0.208
What is the closest to 0.1 in -0.5, -2, 40, 0.2?
0.2
Which is the closest to 0.1? (a) 1/9 (b) 0.2 (c) -46
a
Which is the closest to -8/5? (a) 1/4 (b) 0.4 (c) 1 (d) 3
a
Which is the closest to 13? (a) -2/7 (b) 0 (c) 4/9
c
Which is the nearest to -1? (a) 24 (b) 5 (c) -10
b
What is the closest to -286 in -3, -1/8, -0.1?
-3
What is the nearest to -0.5 in 2, 23, -0.3, 5?
-0.3
Which is the nearest to -3/58? (a) 2/19 (b) -3 (c) 2/7
a
Which is the nearest to 7/2? (a) 3 (b) 1/5 (c) 1
a
What is the closest to 1/2 in 1, 9, -4?
1
What is the nearest to 0.134 in -5, 0, -3?
0
Which is the nearest to 2? (a) 19 (b) 5 (c) -4 (d) -3
b
What is the closest to -12 in 0, -356, 0.1?
0
Which is the nearest to -1? (a) 4/15 (b) 2 (c) 0.5 (d) 0.3
a
Which is the closest to -0.1? (a) -8/7 (b) 1 (c) -3/8
c
What is the nearest to -1 in -2/3, 16, 0.5, -0.08?
-2/3
Which is the nearest to -0.05? (a) -1.7 (b) 0.3 (c) -4/5
b
Which is the closest to -3? (a) -2/7 (b) -2/3 (c) -1/5 (d) 3
b
Which is the closest to -1/4? (a) 0.042 (b) 1 (c) 0.1
a
What is the closest to 1 in -0.1, -0.3, -3/2?
-0.1
Which is the closest to -1/4? (a) -2 (b) -3 (c) 5 (d) -2/5
d
What is the closest to 0 in -3, 0.3, 1/21, -4?
1/21
What is the closest to -14 in -4, -1/5, 19?
-4
Which is the closest to 0.4? (a) 95 (b) -4 (c) 0.2
c
Which is the nearest to -0.2? (a) 0 (b) 10 (c) -1/3 (d) 5
c
What is the closest to 3 in -0.3, -1/4, -2/35, 2?
2
Which is the closest to 0.1? (a) 0.5 (b) -1/7 (c) -1 (d) -179
b
Which is the closest to 2/13? (a) -2 (b) -0.3 (c) 2.9
b
Which is the closest to -1? (a) 0 (b) 21 (c) -1/4 (d) 1
c
Which is the closest to 0.066? (a) -3 (b) -2/11 (c) 2 (d) 1/7
d
Which is the closest to -0.4? (a) -12 (b) -7 (c) -4 (d) -0.1
d
What is the nearest to 1 in 0.4, 1, -486?
1
Which is the closest to 23? (a) 0.2 (b) -1/9 (c) -0.11
a
Which is the closest to -1/5? (a) -1 (b) -1.04 (c) 2/11
c
Which is the closest to -0.12? (a) -35.9 (b) -4 (c) -3
c
What is the nearest to 0.4 in 4/7, -0.38, -2, -0.4?
4/7
Which is the closest to -0.1? (a) -5 (b) -0.03 (c) -1 (d) 0.1
b
What is the nearest to 1 in 5, -1/6, -0.34, -0.2?
-1/6
Which is the closest to 3/5? (a) 3/5 (b) 1/3 (c) -1 (d) -0.4
a
What is the nearest to 2/11 in -1/5, -5, 5?
-1/5
What is the closest to 1 in -5, 77, -0.1, 2?
2
What is the nearest to 2/5 in -1, 2/41, 2/21?
2/21
What is the nearest to -3 in 2/13, -0.2, 2, -12/11?
-12/11
Which is the closest to 0? (a) -0.08 (b) 0.2 (c) 56
a
Which is the nearest to -1? (a) -0.3 (b) -21 (c) -16
a
Which is the nearest to 1/4? (a) -0.06 (b) 2 (c) 0.064 (d) 0.2
d
Which is the closest to -4/5? (a) -8 (b) -6 (c) -4
c
Which is the nearest to 1? (a) -5 (b) -2/7 (c) -2 (d) 0.047
d
Which is the closest to -2/5? (a) 3/7 (b) 7 (c) 2/35
c
Which is the closest to 2? (a) -0.22 (b) 0.5 (c) 10 (d) 0.3
b
Which is the nearest to 0? (a) -3/7 (b) -81 (c) -0.3 (d) 3/2
c
What is the nearest to -1 in -24, -0.2, 0?
-0.2
What is the nearest to 71/3 in 2, 5, -0.5, 0?
5
Which is the nearest to 1/2? (a) -0.1 (b) -3/5 (c) 0
c
What is the closest to -2/45 in 2/15, 4, 0.1, 1/2?
0.1
What is the nearest to 1 in -3, -3/2, 4/15?
4/15
What is the nearest to 2 in 0.1, 18, 1/11?
0.1
What is the closest to 1/11 in -4, -2/7, -1/5?
-1/5
What is the closest to -0.1 in -3, 2, 95, -0.02?
-0.02
What is the nearest to 1 in 0.1, -11, -4/7, 2/15?
2/15
What is the closest to 321 in -1, 0.2, -3, 0.1?
0.2
What is the nearest to -0.2 in -5/3, 2/9, -0.02?
-0.02
Which is the nearest to 0? (a) -1 (b) 3/5 (c) -0.066
c
What is the closest to 2/27 in 4, 0.5, 2/15?
2/15
Which is the closest to 7/2? (a) 3 (b) 0.4 (c) 5 (d) 3/7
a
Which is the closest to 254? (a) 4 (b) 0.1 (c) 5
c
Which is the closest to 0.1? (a) -4 (b) 0 (c) -241 (d) 7
b
Which is the closest to -2/3? (a) -1/2 (b) -2/9 (c) -1/3 (d) -3
a
Which is the closest to 0.1? (a) -0.2 (b) -5 (c) 1.1 (d) 0.05
d
What is the closest to 2 in -2/37, -7, 2?
2
What is the nearest to -2 in 3/4, -46, -5, 0.1?
0.1
What is the nearest to -3 in 4, 1/6, -13, 2/3?
1/6
What is the nearest to 0 in -0.1, -1, 7/2, -2/5?
-0.1
What is the closest to 1/4 in -2, -5.1, -3, 5?
-2
Which is the closest to 2/3? (a) -20 (b) 1/7 (c) -2/17
b
What is the closest to -2/11 in 0.4, -1, -3/5?
-3/5
Which is the closest to 0.1? (a) -0.3 (b) 2 (c) 15/7
a
What is the nearest to 6 in 5, 0, 1/4, 3?
5
What is the closest to -0.5 in -5, 0, 1/3, -43?
0
What is the nearest to -2 in 72, -1, 1/10?
-1
What is the closest to -0.2 in 0.43, 24, -3, -1/3?
-1/3
Which is the closest to -3/8? (a) -1 (b) -1/3 (c) -4/5 (d) 0.5
b
What is the closest to -32 in -1/3, 0, -0.2?
-1/3
Which is the nearest to 0? (a) -0.5 (b) -5 (c) -154
a
What is the closest to -1 in -233, -4/3, 4/9?
-4/3
Which is the nearest to -2458? (a) -1 (b) 3 (c) -0.6
a
Which is the closest to -1? (a) 34 (b) 1/4 (c) -2/3
c
What is the closest to 3 in -0.3, 2/9, 9, -20?
2/9
What is the closest to -2/3 in | {
"pile_set_name": "DM Mathematics"
} |
Let -r**4/2 - 1310*r**3 - 2570*r**2 + 125520*r - 376992 = 0. What is r?
-2618, -12, 4, 6
Solve r**3/5 - 1357*r**2/5 + 236451*r/5 + 167370993/5 = 0.
-257, 807
Solve -4*i**3 - 32268*i**2 - 3133452*i - 76534276 = 0.
-7969, -49
Determine x so that -10*x**3 - 4164*x**2 + 2906376*x - 334756016 = 0.
-4102/5, 202
Let 2*v**2 - 15621820*v - 31243648 = 0. Calculate v.
-2, 7810912
Factor -4*c**3 + 3275924*c**2 + 65519680*c + 327600400.
-4*(c - 819001)*(c + 10)**2
Factor -2*z**3/5 - 9006*z**2/5 - 5021406*z/5 - 750748402/5.
-2*(z + 311)**2*(z + 3881)/5
Factor 2*n**2/9 + 44746*n/3 + 536920/9.
2*(n + 4)*(n + 67115)/9
Factor -3*l**2/8 - 42315*l/8 + 121854.
-3*(l - 23)*(l + 14128)/8
Factor -l**2 + 11711252*l - 34288355851876.
-(l - 5855626)**2
Find g such that 2*g**2/7 + 3687374*g/7 - 62685936/7 = 0.
-1843704, 17
Suppose 220405*v**2 + 10*v = 0. What is v?
-2/44081, 0
Find j, given that -2*j**4 + 1598910*j**3 - 426088729122*j**2 + 37850171917415578*j - 227085692655607044 = 0.
6, 266483
Factor -2*q**4/3 + 37970*q**3/3 + 113964*q**2.
-2*q**2*(q - 18994)*(q + 9)/3
Factor -m**3 + 917*m**2 - 9059*m - 9977.
-(m - 907)*(m - 11)*(m + 1)
Find z, given that z**4/5 - 23012*z**3/5 - 2636139*z**2/5 - 5203238*z/5 - 2590112/5 = 0.
-112, -1, 23126
Solve i**3/2 - 26111539*i**2/2 + 170453130292899*i/2 - 170453104181361/2 = 0 for i.
1, 13055769
Factor 2*a**2/7 + 1041806*a/7.
2*a*(a + 520903)/7
Factor w**2/4 - 5765895*w/4 + 2882947/2.
(w - 5765894)*(w - 1)/4
Suppose -p**4 - 3635*p**3 - 136431*p**2 + 916839*p - 1424412 = 0. Calculate p.
-3597, -44, 3
Factor r**4/3 + 541*r**3/3 - 53954*r**2/3 - 155248*r.
r*(r - 93)*(r + 8)*(r + 626)/3
Factor 12*v**2/5 - 480537*v/5 + 6332634.
3*(v - 66)*(4*v - 159915)/5
Find u such that -u**5 + 9717*u**4 - 6668948*u**3 + 1198024400*u**2 - 3547536288*u + 2356171120 = 0.
1, 2, 362, 8990
Let p**2/9 + 42191*p + 8981642 = 0. Calculate p.
-379506, -213
Solve b**5/6 + 145*b**4/3 - 60959*b**3/6 + 207304*b**2/3 - 233176*b/3 - 471104/3 = 0 for b.
-433, -1, 4, 136
What is y in -y**3/4 + 45704*y**2 - 2089495325*y + 58470042652 = 0?
28, 91394
Factor -216*l**3 + 2546620*l**2 - 7505985600*l - 695020500.
-4*(l - 5895)**2*(54*l + 5)
Find x, given that -2*x**5 + 3314*x**4 + 3340392*x**3 + 19962656*x**2 + 39872128*x + 26563680 = 0.
-702, -2, 2365
Let 20*x**4 + 5873*x**3/2 - 2175913*x**2/2 - 2872219*x - 1369440 = 0. What is x?
-317, -2, -5/8, 864/5
Find z such that -17*z**5/8 + 523*z**4 - 12057*z**3/2 + 702*z**2 = 0.
0, 2/17, 12, 234
Factor -2*m**2/9 - 1899956*m/9 - 451229100242/9.
-2*(m + 474989)**2/9
Determine h, given that -363*h**4/7 + 941226*h**3/7 + 85857*h**2/7 - 106668*h - 280044/7 = 0.
-6/11, 1, 2593
Factor -3*p**3 + 44862*p**2 - 12671424*p.
-3*p*(p - 14666)*(p - 288)
Determine w, given that 125*w**3 + 415178050*w**2 - 2325000020*w + 3255001400 = 0.
-3321430, 14/5
Find y such that -277196879726010*y**3 + 166317917237646*y**2 + 126358736*y + 24 = 0.
-2/5264949, 3/5
What is v in 3*v**4 + 77838*v**3 - 233757*v**2 - 5605512*v - 13701072 = 0?
-25949, -4, 11
Find a, given that -3*a**2 - 339083778*a - 339083775 = 0.
-113027925, -1
Find s, given that -s**2/7 + 247*s - 78540 = 0.
420, 1309
Find t, given that t**4/3 + 3376*t**3/3 - 6772*t**2 - 81104*t/3 + 216448/3 = 0.
-3382, -4, 2, 8
Determine a, given that -2*a**3/23 + 132870*a**2/23 - 132868*a/23 = 0.
0, 1, 66434
Determine v so that v**3/5 - 3509*v**2/5 - 323649*v/5 - 939339/5 = 0.
-87, -3, 3599
Factor 2*p**2 - 215272164*p + 5792763074155362.
2*(p - 53818041)**2
Solve -2*p**5 - 7140*p**4 - 6407998*p**3 - 63360860*p**2 + 6408000*p + 63368000 = 0.
-1780, -10, -1, 1
Factor k**3 - 2984416*k**2 - 5968835*k - 2984418.
(k - 2984418)*(k + 1)**2
Let 5*f**4 + 81455*f**3 - 14864885*f**2 + 696234985*f - 1957120680 = 0. What is f?
-16472, 3, 89
Let -f**2 - 160194428*f - 6415563690561796 = 0. What is f?
-80097214
Determine y so that -11921*y**2 - 1023*y + 1370 = 0.
-5/13, 274/917
Factor -3*y**2/7 - 52852536*y/7 - 232782546802608/7.
-3*(y + 8808756)**2/7
Let -2127*k**4/4 + 2278015*k**3/4 - 813249927*k**2/4 + 96776231517*k/4 + 45499293/2 = 0. Calculate k.
-2/2127, 357
Let -4*s**3 - 4188100*s**2 - 1096451884332*s - 99742442832396 = 0. What is s?
-523467, -91
Factor -3*n**3/5 + 55136562*n**2/5.
-3*n**2*(n - 18378854)/5
Solve -5*s**3 - 288*s**2 + 5555*s + 56658 = 0 for s.
-71, -38/5, 21
Factor 4*t**3 + 440184*t**2 + 12022495236*t - 4830184404144.
4*(t - 396)*(t + 55221)**2
Suppose -5*d**2/2 - 726415*d - 105535750445/2 = 0. Calculate d.
-145283
Find s such that -18*s**3/11 - 221536*s**2/11 - 681370810*s/11 + 151536100 = 0.
-6155, 22/9
Factor k**3 + 4965*k**2 - 311674*k.
k*(k - 62)*(k + 5027)
Determine d, given that d**3 - 80058*d**2 - 4645887*d - 67377556 = 0.
-29, 80116
Determine n so that -128*n**3 + 132896*n**2 + 633422*n + 753046 = 0.
-19/8, 1043
Suppose 45*l**5 - 1540*l**4 + 14020*l**3 - 24640*l**2 + 4800*l = 0. Calculate l.
0, 2/9, 2, 12, 20
What is o in -o**4/4 + 263*o**3/4 + 31805*o**2/4 - 633483*o/4 + 734994 = 0?
-104, 9, 349
Determine x so that -3*x**3/8 - 9640173*x**2/8 + 57841131*x/8 - 48200955/8 = 0.
-3213397, 1, 5
Find h such that -21981*h**3 + 791314*h**2/3 - 791308*h - 24 = 0.
-2/65943, 6
Solve f**2 - 28936907*f - 57873818 = 0.
-2, 28936909
Let 3*q**3/5 + 957*q**2 - 8954856*q/5 - 14327759628/5 = 0. What is q?
-1662, 1729
Solve 28575*k**2 + 55209*k - 3882 = 0.
-2, 647/9525
Factor -37238450*o**2/9 - 5057180*o/9 - 171698/9.
-2*(4315*o + 293)**2/9
Factor -2*h**3/3 + 5063392*h**2/3 - 1068244063800*h - 4273003260000.
-2*(h - 1265850)**2*(h + 4)/3
Determine l so that -32*l**3/15 + 292366*l**2/5 + 20794454*l/15 - 438928 = 0.
-24, 5/16, 27433
Find k, given that -k**5/2 - 63*k**4/2 + 353*k**3/2 + 5427*k**2/2 - 8888*k + 6030 = 0.
-67, -9, 1, 2, 10
Factor -5*v**2 - 17178495*v + 17178500.
-5*(v - 1)*(v + 3435700)
Solve 3*d**3 - 205656*d**2 + 6166887*d + 6372546 = 0 for d.
-1, 31, 68522
Solve -k**4/11 + 3447*k**3/11 - 1536497*k**2/11 + 185776161*k/11 - 365433894/11 = 0 for k.
2, 249, 2947
Factor 2*a**2/7 + 49314*a/7 - 1332936/7.
2*(a - 27)*(a + 24684)/7
Find j such that -24026312*j**2 + 6557672*j - 447458 = 0.
473/3466
Factor 5*d**3 + 29320*d**2 + 49890660*d + 19358001360.
5*(d + 548)*(d + 2658)**2
Factor -2*o**2/13 + 13922952*o/13.
-2*o*(o - 6961476)/13
Factor -5*h**3 + 419415*h**2 - 8764539075*h - 1297466265375.
-5*(h - 42015)**2*(h + 147)
Find r, given that 2*r**2/7 - 326743748*r/7 + 13345184607135938/7 = 0.
81685937
Determine a so that 2*a**2/9 - 6824344*a/3 + 5821458878792 = 0.
5118258
Factor -p**3 + 1356652*p**2 - 2713300*p.
-p*(p - 1356650)*(p - 2)
Factor -3*j**2 - 42459*j + 8568144.
-3*(j - 199)*(j + 14352)
Suppose 2*z**3/17 + 5714*z**2/17 - 7214000*z/17 + 1928500000/17 = 0. What is z?
-3857, 500
Find q, given that 4*q**5 + 10532*q**4 - 42126812*q**3 - 84285204*q**2 - 42147864*q = 0.
-4818, -1, 0, 2187
Let -3*q**4/4 - 5721*q**3 - 11415*q**2/2 + 97233*q - 343215/4 = 0. Calculate q.
-7627, -5, 1, 3
Solve -3*w**2 - 9780*w - 338625 = 0.
-3225, -35
Determine q so that 5*q**3/3 - 6165*q**2 + 494530*q/3 + 1456560 = 0.
-7, 34, 3672
Solve -d**4/2 - 3901*d**3 + 27584139*d**2/2 + 83485183970*d - 229000758470450 = 0.
-6971, 3070
Solve -r**2 + 2122*r - 509496 = 0 for r.
276, 1846
Factor 3*p**2 - 169041*p + 845130.
3*(p - 56342)*(p - 5)
Factor -2*t**2 + 582766*t + 582768.
-2*(t - 291384)*(t + 1)
Factor a**3 + 98129*a**2 + 2398518584*a - 432484713164.
(a - 179)*(a + 49154)**2
Factor -5*x**2/4 + 57325*x/4 - 1880835/2.
-5*(x - 11399)*(x - 66)/4
Factor 5*c**2 + 24641880*c - 517481685.
5*(c - 21)*(c + 4928397)
Solve 232*r**4/7 - 1534688*r**3/7 - 4552686*r**2/7 - 470826*r + 119124/7 = 0 for r.
-3/2, 1/29, 6618
Solve -5*d**4/3 - 92978*d**3/3 + 316169*d**2/3 - 260386*d/3 = 0.
-18599, 0, 7/5, 2
Solve -2*t**5/3 + 290*t**4/3 - 1106*t**3/3 - 1054*t**2 + 2820*t = 0 for t.
-3, 0, 2, 5, 141
Solve 2067*y**3/2 - 1248465*y**2/2 - 10253226*y - 14880 = 0 for y.
-16, -1/689, 620
Factor -2*m**2/11 - 1583422*m/11 - 19000776/11.
-2*(m + 12)*(m + 791699)/11
Determine x so that 5*x**3 + 191231890*x**2 - 382463800*x = 0.
-38246380, 0, 2
Determine h so that h**3/10 - 1063*h**2/5 + 240599*h/10 + 121363/5 = 0.
-1, 121, 2006
Let -3*j**5 + 67755*j**4 + 474477*j**3 - 1016115*j**2 - 11860050*j - 16944000 = 0. What is j?
-5, -2, 5, 22592
Determine a, given that 4*a**3/5 - | {
"pile_set_name": "DM Mathematics"
} |
0. Give f(-3).
-2
Let q(r) = -12*r - 3. Determine q(-2).
21
Let k(v) = -15*v**2 + 2*v - 1. Calculate k(1).
-14
Let s(o) = -o**2 + 4*o + 13. Determine s(7).
-8
Let r(y) = 40*y**2 + 3*y + 2. Give r(-1).
39
Let w(x) = x - 3. What is w(-2)?
-5
Let s(x) = -x**3 + 15*x**2 - 6*x - 29. Calculate s(15).
-119
Let q(i) = -3*i - 39. Give q(-11).
-6
Let n(b) = b**3 + 6*b**2 + b + 4. Give n(-5).
24
Let z(q) = -5*q - 21. Give z(-6).
9
Let j(m) = -m**3 - 49*m**2 - 94*m + 8. Give j(-47).
8
Let m(x) = -x**2 - 4*x + 9. What is m(-7)?
-12
Let m(v) = -7*v**2 + 138*v + 32. Calculate m(20).
-8
Let l(a) = -45*a + 2. What is l(-1)?
47
Let a(f) = -3*f**2 - 8*f + 69. What is a(4)?
-11
Let z(i) = -i**3 - 16*i**2 + 8. What is z(-16)?
8
Let i(j) = j**3 - 18*j**2 - 49*j + 174. What is i(20)?
-6
Let h(l) = 36*l + 433. Give h(-12).
1
Let k(t) = -t**2 - 6*t + 39. Give k(-10).
-1
Let n(s) = 2*s**2 + 15*s + 16. Calculate n(-6).
-2
Let t(w) = w - 7. What is t(14)?
7
Let p(w) = -21*w + 4. Determine p(2).
-38
Let d(l) = 2*l**2 - 2*l + 3. Give d(3).
15
Let d(r) = r**2 + 12*r + 8. Give d(-4).
-24
Let f(y) = y**3 - 8*y**2 + 3*y + 16. Determine f(7).
-12
Let n(b) = b**2 - 8*b + 10. What is n(7)?
3
Let b(g) = g**3 - 21*g**2 - 23*g + 32. Calculate b(22).
10
Let d(f) = -f**2 - 14*f - 1. What is d(-14)?
-1
Let a(s) = -s**3 - 11*s**2 - 19*s + 3. Give a(-9).
12
Let l(f) = f + 22. Calculate l(17).
39
Let b(y) = -y + 2. Calculate b(6).
-4
Let s(y) = y**3 - 30*y**2 + 52*y + 102. Calculate s(28).
-10
Let l(m) = 61*m - 666. Calculate l(11).
5
Let o(z) = -z**3 - 7*z**2 - 7*z - 2. What is o(-6)?
4
Let m(v) = v**2 + 22*v + 85. What is m(-18)?
13
Let v(p) = p**2 - 2*p - 6. Determine v(5).
9
Let x(w) = w**3 + 8*w**2 + 3*w - 5. Give x(-6).
49
Let t(w) = -w. Calculate t(0).
0
Let r(x) = -x**2 + 45*x + 312. What is r(-6)?
6
Let r(h) = -h**2 + 18*h - 37. What is r(13)?
28
Let m(g) = -g**3 + 5*g**2 + 7*g - 34. Determine m(7).
-83
Let i(m) = m**3 - 4*m**2 + 3*m - 4. Give i(3).
-4
Let d(o) = o**3 + 4*o**2 - 6*o - 14. What is d(-5)?
-9
Let j(x) = x**3 + 17*x**2 - 2*x - 32. Give j(-17).
2
Let z(b) = b**3 - 10*b**2 + 12*b + 8. Give z(8).
-24
Let d(v) = v**3 + 7*v**2 + 8*v + 6. What is d(-5)?
16
Let r(z) = -z**3 - 4*z**2 + z + 3. Calculate r(-3).
-9
Let i(h) = -8*h - 3. Give i(-1).
5
Let n(t) = t**3 - 27*t**2 + 23*t + 79. Determine n(26).
1
Let p(x) = -2*x**3 - 48*x**2 + 47*x - 107. What is p(-25)?
-32
Let q(u) = u**2 - 7*u - 17. Give q(-6).
61
Let b(k) = k**3 - 9*k**2 + k - 7. What is b(9)?
2
Let c(u) = u**3 - 6*u**2 + 4*u + 8. Give c(4).
-8
Let u(j) = -3*j**3 - 2*j**2 - j - 4. Calculate u(-2).
14
Let r(n) = 58*n + 177. Give r(-3).
3
Let m(t) = -t - 9. What is m(-7)?
-2
Let x(s) = -s**2 - 22*s + 108. Give x(-26).
4
Let g(o) = 6*o - 19. Give g(4).
5
Let s(j) = j**3 + 11*j**2 + 16*j - 2. Give s(-7).
82
Let p(h) = -2*h**2 - 17*h + 10. Determine p(-9).
1
Let l(o) = -o**3 - 7*o**2 - 6*o - 5. Determine l(-6).
-5
Let o(d) = -d**2 - 18*d - 19. What is o(-17)?
-2
Let v(a) = 2*a**2 - 9. Give v(-3).
9
Let i(m) = m**3 + 10*m**2 - 13*m + 6. What is i(-11)?
28
Let x(a) = a**2 + 19*a + 70. Determine x(-9).
-20
Let g(a) = -a**3 + 4*a**2 + 3*a - 6. Calculate g(2).
8
Let s(g) = 3*g**2 - 15*g + 6. What is s(5)?
6
Let h(p) = -p**2 - 9*p + 2. Determine h(-4).
22
Let x(v) = v**3 - 9*v**2 - 10*v + 5. Calculate x(10).
5
Let v(j) = j**2. What is v(0)?
0
Let o(v) = -2*v**2 + 21*v - 52. What is o(6)?
2
Let t(i) = -i**3 - 5*i**2 - 2*i - 5. Give t(-5).
5
Let z(r) = -r**3 - 19*r**2 - 17*r + 25. Calculate z(-18).
7
Let z(y) = 3*y - 32. Determine z(13).
7
Let m(b) = b**3 - b**2 + 3*b + 3. What is m(4)?
63
Let z(j) = -j**3 - 6*j**2 + 4*j + 2. Calculate z(-7).
23
Let j(a) = -3*a**3 + 1. Give j(-1).
4
Let o(i) = i**3 + 3*i**2 - 3*i + 4. Calculate o(2).
18
Let a(r) = -4*r + 9. Determine a(-3).
21
Let d(i) = -i**2 - 5*i - 9. Give d(-6).
-15
Let g(s) = -s**2 + 9*s - 16. Give g(9).
-16
Let f(q) = 13*q + 11. Give f(2).
37
Let u(v) = -v**3 - 12*v**2 + 27*v - 17. Calculate u(-14).
-3
Let i(k) = k**3 + 12*k**2 - 12*k + 48. What is i(-13)?
35
Let r(n) = -n**3 - 9*n**2 - 12*n - 10. What is r(-8)?
22
Let z(d) = -7*d + 3. Calculate z(6).
-39
Let q(s) = -s**2 + 8*s - 6. Give q(6).
6
Let m(d) = 4*d**3 - 3*d**2 - 4*d + 4. Give m(2).
16
Let c(n) = -2*n**2 + 60*n - 9. Give c(30).
-9
Let h(n) = 12*n + 2. Calculate h(2).
26
Let s(u) = u**3 - 17*u**2 + 29*u + 11. Give s(15).
-4
Let k(b) = b**3 - 4*b**2 - 3*b - 4. Determine k(4).
-16
Let j(v) = -4*v**3 + 3*v**2 - 9*v - 10. Give j(-1).
6
Let p(n) = 2*n**2 - 5*n - 8. Calculate p(5).
17
Let c(r) = r**2 - 8*r + 3. Calculate c(5).
-12
Let h(y) = y**2 + 13*y - 20. What is h(-13)?
-20
Let a(g) = g - 3. Calculate a(10).
7
Let p(k) = -k**3 - 4*k**2 + 2. Give p(-4).
2
Let v(k) = -k - 7. Calculate v(-1).
-6
Let o(k) = -10*k**3 + 3*k**2 - 3. Give o(-1).
10
Let o(l) = -l**3 + 8*l**2 + 18*l + 13. Give o(10).
-7
Let s(b) = -b - 6. What is s(-3)?
-3
Let w(j) = j**3 - 7*j**2 + 4*j - 1. Give w(5).
-31
Let j(i) = i**3 - 20*i**2 + 18*i + 7. What is j(19)?
-12
Let l(c) = -c**2 + 14*c - 23. Give l(6).
25
Let p(m) = m**2 + 17*m - 58. Give p(-19).
-20
Let q(m) = -m**2 + 22*m - 13. Determine q(21).
8
Let p(y) = 51*y - 1. What is p(-1)?
-52
Let k(u) = -9*u**3 + 4*u + 4. Give k(-1).
9
Let u(y) = y**2 + 5*y - 5. Determine u(-8).
19
Let x(w) = -w**2 - 19*w - 42. What is x(-17)?
-8
Let d(w) = w**3 - 4*w**2 - 16*w - 37. Give d(7).
-2
Let r(b) = -6*b + 20. What is r(13)?
-58
Let d(f) = f**2 - 4*f + 4. Calculate d(-3).
25
Let m(g) = g**2 + g - 10. Give m(3).
2
Let p(m) = -m - 6. Determine p(-9).
3
Let w(y) = y**2 + 6*y - 4. Give w(11).
183
Let l(y) = y**2 + 40*y - 87. What is l(-42)?
-3
Let n(z) = -25*z**2 - z - 1. What is n(-1)?
-25
Let t(o) = -2*o - 12. Determine t(-26).
40
Let r(b) = -16*b**2 - 5*b - 4. Determine r(-1).
-15
Let u(h) = h**3 + 2*h**2 + h - 15. Calculate u(0).
-15
Let m(a) = a**3 - 5*a**2 + 3*a - 73. Determine m(6).
-19
Let l(q) = q**3 + 6*q**2 - 4*q - 13. Determine l(-5).
32
Let w(n) = n**2 - 3*n - 4. Determine w(6).
14
Let n(g) = 41*g + 41. Determine n(-1).
0
Let s(z) = -3*z - 1. Give s(3).
-10
Let c(j) = j**2 + 8*j - 21. What is c(-9)?
-12
Let u(f) = -f**3 - 17*f**2 - 75*f - 19. Give u(-8).
5
Let b(z) = -3*z - 32. Determine b(-13).
7
Let d(b) = 76*b + 534. Give d(-7).
2
Let o(k) = 2*k - 8. What is o(-6)?
-20
Let u(k) = -5*k - 2. Give u(10).
-52
Let y(w) = -65*w**2 - 2*w + 1. Determine y(1).
-66
Let w(n) = -n**3 + 7*n**2 - 8*n + 5. What is w(6)?
-7
Let l(h) = -3*h - 3. Give l(-2).
3
Let x(b) = b**3 - 10*b**2 - 4*b + 16. Give x(10).
-24
Let d(c) = -17*c + 46. What is d(3)?
-5
Let m(v) = -v**2 - 19*v + 114. What is m(5)?
-6
Let t(k) = -k**3 - 4*k**2 - 4*k - 2. Give t(-3).
1
Let x(s) = -s**2 + 12*s + 98. Give x(-8).
-62
Let h(r) = 16*r + 19. What is h(-8)?
-109
Let j(a) = a**2 + 74*a + 392. What is j(-6)?
-16
Let w(z) = z - 4. Calculate w(-14).
-18
Let p(l) = -l**3 + 17*l**2 + 37*l + 20. Calculate p(19).
1
Let w(h) = -8*h + 55. Calculate w(6).
7
Let m(j) = -42*j - 305. Give m(-7).
-11
Let d(a) = 29*a + 13. Determine d(-1).
-16
Let a(n) = -n**2 + 13*n + 1. Give a(13).
1
Let h(o) = -2*o**2 - 22*o + 1. Calculate h(-11).
1
Let n(x) = 7*x + 1. Determine n(0).
1
Let b(f) = f**3 + 13*f**2 - f - 6. Calculate b(-13).
7
Let h(q) = 3*q + 12. Give h(-4).
0
Let n(w) = -w**3 + w + 68. Calculate n(0).
68
Let s(d) = -d**2 - 7*d + 4. What is s(-6)?
10
Let p(s) = -s**3 + 3*s**2 - 11*s - 3. What is p(5)?
-108
Let i(v) = v**2 + 17*v - 9. Give i(-21).
75
Let b(t) = -3*t**3 - 2*t - 1. What is b(-2)?
27
Let z(a) = -2*a**2 + 12*a + 9. Calculate z(7).
-5
Let u(z) = 5*z + 25. What is u(-3)?
10
Let h(r) = -18*r - 89. What is h(-5)?
1
Let w(b) = 36*b**3 - 3*b + 1. Calculate w(1).
34
Let l(t) = -2*t + 8. Calculate l(6).
-4
Let c(w) = -w**2 - 6*w + 24. Calculate c(-10).
-16
Let s(c) = c**2 + 6*c. Determine s(-5).
-5
Let n(y) = -y**2 + 9*y - 22. Give n(9).
-22
Let p(g) = -g**3 + 2*g - 4. What is p(2)?
-8
Let t(x) = -x - 15. Determine t(-6).
-9
Let u(z) = -z**3 - 4*z**2 - 3*z - 29. Determine u(-4).
-17
Let y(r) = -17*r + 1. What is y(-2)?
35
Let v(g) = g**2 - 7*g + 4. Determine v(5).
-6
Let a(v) = -v + 14. Determine a(0).
14
Let n(v) = v**3 - 7*v**2 - 9*v + 7. Determine n(8).
-1
Let p(s) = -s**3 - 94*s**2 - 90*s + 279. Give p(-93).
0
Let w(n) = n - 8. Determi | {
"pile_set_name": "DM Mathematics"
} |
= r for x.
-4
Let v be (-4)/(8/(-5))*2. Let m = -12 - -17. Solve -r - 4*r = v, 9 = -2*y - m*r for y.
-2
Suppose 83 = -3*z + c, -c - 41 = -2*z - 97. Let y = z - -47. Suppose 5*l - 7 = -d, 3*l - 2 = d - 1. Solve 5*j - y = 5*o, 2*o + j - d = -2*j for o.
-2
Suppose -5*w = 4*g - 38, 0*w - 4*w - 5*g = -34. Let d be w/(-39) - (-67)/13. Solve 4*i = -3*v - d, 2*v = 3*i - i + 6 for v.
1
Let d(q) = 2*q + 7. Let p be d(6). Let b be 3/(-9) + (-20)/(-6). Let w = 6 - b. Solve -x - 4*x = 2*h - p, -w*x = -5*h + 1 for x.
3
Let h(z) = z - 12. Let w be h(14). Let s be 4/4 + w + -3. Solve 3*c + 2*l - 3 = 5, s = -4*c - 2*l + 12 for c.
4
Suppose 3*z = -2*s - 0*z - 4, -2*s + 16 = -2*z. Solve 0 = 4*j + n - 5*n - s, 2*j + 5 = -5*n for j.
0
Let p = 45 + -40. Solve c - 14 = 2*z - 4, -p*z = -c + 25 for z.
-5
Suppose 3*b + 48 = 54. Solve -l + 1 = -b*y - 0*y, -y = 0 for l.
1
Suppose 6*x = x + 20. Solve -4*o = -5*f + 11, -o = -x*f - 2 + 13 for o.
1
Suppose 0 = o - 6 - 6. Let g be -3 - (4/6 - 44/(-33)). Let h = o + g. Solve -3*u + 4*x - h = 1, -17 = -3*u - x for u.
4
Let p(x) = -x**2 - 4*x + 4. Let w be p(-5). Let t(r) = 4*r**2 - 1. Let y be t(w). Suppose 0 = -y*v - v + 72. Solve 13 = a + 4*d, a = -a - 4*d + v for a.
5
Let y be 6*1/(-2)*-1. Let u = 3 - y. Solve -a - 1 = 2*c, u*c = 2*a + 3*c for a.
3
Let o(m) = -2*m + 28. Let u(p) = -p + 11. Let k(z) = -5*o(z) + 12*u(z). Let t be k(-12). Solve -2*c = -3*x - 0*c - 5, 0 = -4*c + t for x.
1
Let f = 1 - -1. Suppose 1 = 3*a + f*p - 9, -3*p = -a - 4. Let l be (2 + 2)*a - -2. Solve r = 2*b - l, b + 0 = -r - 1 for b.
3
Let x = -11 + 15. Solve i - 2*i = -4*g + 7, 2*i = x*g - 2 for g.
3
Suppose -1 = -4*x + 35. Suppose 3 = -t - x. Let z be (t/(-1))/((-9)/(-6)). Solve -5*q - 5*u + z = 43, 4*q - 3*u = 7 for q.
-2
Let u(b) = 5*b - 20. Let x be u(-6). Let o be (-4)/12 + x/(-15). Solve 0 = o*n - 2*z + 7, 5*n + z + 1 = -28 for n.
-5
Let o = 6 - 0. Suppose -l = 2*l - o. Let i be (-22)/(-8) - 1/(-4). Solve -k + i*k - 3*y = 15, 0 = -l*k - y + 3 for k.
3
Let s = 10 - 6. Suppose -2*g + 6*g - 15 = -n, 0 = s*g + 2*n - 14. Solve 5*p - g*p + 2*c = -3, 5*p = 4*c + 41 for p.
5
Let o be (1 - 0 - 1)*4/12. Solve o*r - 3*r - w + 2 = 0, 5*w = -4*r - 1 for r.
1
Let g be (0 + 2/5)/(1/10). Let v = -15 - -44. Let d be 2/(3*6/45). Solve -3*a + d*b = -35, b + v = a + g*a for a.
5
Suppose n - 1 = -3*h + 12, -3 = -h - n. Solve -2*f = 3*q + 13, -f + 6*f = h*q - 20 for f.
-5
Suppose 9*q = 4*q + 4*b, -9 = 4*q - 5*b. Suppose 19 = 5*h + q. Solve g + 5*j - h*j - 8 = 0, -22 = -5*g - 4*j for g.
2
Let k be 6/(3/(-1)) + 9. Solve -3*j + k = -w + 16, 12 = -3*j for w.
-3
Let y = -5 - -7. Suppose y*a - c = 59, 2*a - 10 = 5*c + 45. Solve 4*l - 2*f = a, -5*l + 3*f + 26 = -14 for l.
5
Let d be 3/2*2/(-1). Let p = 3 + d. Suppose -5 = -0*b - b. Solve p = -b*z - s + 21, 7*s - 2*s = 5 for z.
4
Let o(g) = -4*g - 5. Let f be o(-2). Suppose -f*l + 16 = 4. Solve 0 = -b + s, 4*s = -l*b - 0 + 8 for b.
1
Suppose -4 = -i - 1. Suppose -2*x - 1 = b - 7, 0 = 3*x + 4*b - 4. Solve -2*w = 3*q + 2, 0 = 3*q - 2*w + i*w + x for q.
-2
Suppose -4*r + 9*r = 0. Solve -3*z - 2*z - 20 = 5*i, r = 2*i - 2*z for i.
-2
Suppose h + 3 - 5 = -3*y, 0 = -y + h + 6. Solve 2*n + 10 = -l, -y*l = -7*l - 3*n - 29 for l.
-4
Let m = 110 - 96. Solve 2*u - 2*v + 14 = 0, 5*u + m + 19 = 4*v for u.
-5
Suppose -10 = -3*o + 5. Let a be 1*(-1 + o)*1. Suppose 4*f + 12 = 0, -2*q = f - 0 - 1. Solve 4*y + 2 + 6 = q*h, 0 = -4*h + a*y + 16 for h.
4
Let i be ((-3)/(-1))/3 - -30. Suppose 4*a - i = 3*y, 10 = 2*a - 3*y + 7*y. Let j(k) = -k**2 + 9*k. Let g be j(a). Solve 1 + 4 = -p, -4*n - g = 2*p for n.
-1
Let z = -10 + 8. Let a(b) = -2*b - 2. Let p be a(z). Suppose -c - i = -p*i - 17, -3*c + 48 = -2*i. Solve 0 = 5*r + 2*n, -2*r - c = 4*n - 6*n for r.
-2
Let q be -1*(-1 - 0)*0. Suppose q = 3*h + h - 20. Suppose 0 = a - 0*a - f - h, 14 = 3*a - 4*f. Solve 2*u - o = -a, -u = 2*o - 0*o - 2 for u.
-2
Let n be (-10)/(-20)*(13 - -1). Suppose -n*u + 3*u + 20 = 0. Solve u*y - 14 = 3*j, 4*j - 4*y + 11 = 3 for j.
2
Let m(p) = p**2. Let d be m(2). Solve -b - 23 = -5*r, 13 = -0*r + r + d*b for r.
5
Let z be 3 + (-2 - 3) + 1. Let s be (-5)/2*-2 + z. Solve 3*j + 8 + 3 = t, -3*j = -s*t + 17 for t.
2
Let l(d) = d**2 + d - 2. Let h be l(5). Let c be 48/14 - 12/h. Solve t - c = 3*q + q, -3*q + t = 3 for q.
0
Let z(d) = d**3 + 5*d**2 - 2*d - 5. Let x be z(-5). Solve r = -x*w - 0*w + 2, 4*w + 10 = 5*r for r.
2
Let q be ((-6)/(-4))/((-24)/(-80)). Suppose 0 = q*w - 40 + 10. Let b be 4/(w/(-3)) + 7. Solve -b*a + 2*j = 5, 0*j + 4*j - 17 = 3*a for a.
1
Suppose 8 = 2*k + 4. Solve -m + 5*l = -6*m - 50, k*m = 2*l for m.
-5
Suppose 0*v - 30 = -3*v. Suppose -6*i = -i - v. Solve 0 = p + 2*q - 15, p - 3*q = -i*q for p.
5
Let j(z) = -z**3 - 7*z**2 + 8*z + 2. Suppose 4*p = -5*g - 7 - 45, -4*g + 5*p - 17 = 0. Let t be j(g). Solve -d + t = 0, -3*i + 2 = -2*i + 3*d for i.
-4
Suppose 4*a = 5*r, 4 = a - 3*r - 3. Let k(w) = -w**2 - 6*w - 2. Let q be k(a). Solve -5*j + 25 = q*h, -3*j + 4 + 22 = 4*h for j.
2
Let x be 0/(-2*(5 + -4)). Solve -2*v + v - 2 = x, -3*v = 4*g - 6 for g.
3
Let v = -12 + 7. Let c = 9 + v. Solve 3*l - 5*o = 14, c*o + 11 = 2*l - o for l.
3
Suppose b - 3 = -14. Let r = -6 - b. Solve d + 2*f = -r, 5*d - 4*f - 16 = 1 for d.
1
Let n = 5 - 5. Let r be 3 + 1 + n + -1. Solve 0*y + 4*y = -2*k, -4*y + r*k - 20 = 0 for y.
-2
Let i(h) = -h + 1. Let d(j) = -3*j + 1. Let v(l) = -d(l) + 4*i(l). Let r be v(0). Let y = -5 + 8. Solve -y*f + w = f - 3, 0 = w + r for f.
0
Let o be -6 + 4 - 1*-4. Let j(l) = 2*l + 3. Let g be j(-5). Let w = g - -17. Solve o*x - 10 = 2*t + 3*t, 0 = -5*t + 3*x - w for t.
-2
Let k(s) = -s - 13. Let w be k(-13). Suppose w = 3*o + 4 - 10. Solve -18 = -4*y - z - 0, -5*z = o*y for y.
5
Let y(u) = 4*u**3 - u + 1. Let a be y(1). Solve a*f + 20 + 2 = 2*n, 2*n = 2*f + 16 for f.
-3
Suppose -4*c = 5*b - 12, 28 = 4*c - 0*c + b. Solve 5*w = -2*r + 13, -r = w + 2*w - c for w.
3
Suppose 3*f = -4*p + 13 + 15, 3*f - 2*p - 4 = 0. Solve f*j + 2*o = 22, 5*o + 3 = 3*j - 7 for j.
5
Let f be (-1 - -51)*6/15. Solve 0*c + 3*q - 35 = -4*c, -q = 3*c - f for c.
5
Suppose 5*w - 4 = 6. Let c be (-1)/w*(2 + -2). Suppose -3*v - 2*v = c. Solve 0*l + 5*l - 4*q = -30, 3*q - 15 = v for l.
-2
Let p = 7 + -4. Suppose -3*u - 3*b = -21, b + 46 = 4*u - b. Suppose -2*f - u = -0*o - 2*o, 0 = 5*o - 2*f - 10. Solve 5*i + o*j = -p*j, -i = -j - 8 for i.
3
Suppose -4*f - p + 15 = -3, f = -2*p + 8. Suppose -3*b - 15 = -f*b. Solve -3*s - 3*x = b, s + s - 2*x + 10 = 0 for s.
-5
Let s(k) = 9*k**2 + 1. Let f = 2 - 1. Let t be s(f). Solve -h + 3*d + 13 = h, 5*h + d = -t for h.
-1
Suppose -5*x + c = -23, -x + 31 = 3*x - 5*c. Solve -20 = x*p - i, p = 4*i - 5*i for p.
-4
Suppose -3*b = -5*r - 0 + 5, 0 = 2*b + 2*r - 18. Solve -2*d + 6 = 2*p, 3*p = 3*d + 4 + b for p.
3
Let w = 7 + -2. Suppose 0 = 3*f - w*o - 13, -o - 29 = f + 4*o. Let n = 23 + f. Solve 8*b - 5*b - 2*v = -n, 3*v = -2*b + 9 for b.
-3
Suppose 3*w - 12 = 3. Solve -14 = -2*c - 4*a, -a = -6*a + w for c.
5
Suppose 4*z + 8 = -j, 4*j - z + 3 = 5. Solve -3*f + 2*f - x + 6 = j, 4*f = -x + 21 for f.
5
Let j(v) = -v**2 - 10*v + 7. Let h be j(-8). Solve 8 = c - 4*p, 0 = -2*c - 4*p - p - h for c.
-4
Suppose -5*t = -25, -v - 11 = -3*t + t. Let b = v + 7. Let s(c) = c**3 - c**2 + c. Let p be s(0). Solve -r + f - b = -p*f, -2*f = -10 for r.
-1
Suppose -2*u - 5*p - 55 = 2*u, 105 = -5*u + p. Let f = 60 + u. Let r = 72 - f. Solve 1 = 2*s - c - 2*c, -4*c - r = 5*s for s.
-4
Suppose -y = -5*y. Solve y*i + 26 = -5*i - 2*l, -2 = 2*i - 2*l for i.
-4
Suppose -13 = 5*c + 2*w, -4*w - 16 = -0*w. Let o = c + 5. Solve -o*i - 5 = i + 4*b, 4*b + 20 = 0 for i.
3
Let a be (-17)/6 + 8/(-48). Let o be 0 + (-72)/(a + -1). Solve -7 = 5*w + o, 5*w + 16 = -3*b for b.
3
Let o = -59 - -62. Solve 0*i + 13 = -5*s + i, o*s + 3*i = 3 for s.
-2
Let m(q) = 7*q - 9. Let c be m(2). Solve -2*s = -4*f - 24, 8 = -2*s - s - c*f for s.
4
Let d(t) = -t - 3. Let v be d(-5). Suppose -3*h = 3*l + v*l - 102, 20 = 2*l - 4*h. Solve -5*k - p = l, -4*p + 3 = -5 for k.
-4
Suppose -8*m + 3*m = 0. Let y be m/(-1)*(-15)/(-45). Let q(b) = -4*b - 1. Let g be q(-1). Solve -4*n = 3*a, 3*a + y*n + g*n = 3 for a.
4
Let z = 0 + 2. Suppose 5 + 5 = z*k. Solve -4*b + k = -g, -6*b - 20 = -5*b + 4*g for b.
0
Let g = -10 | {
"pile_set_name": "DM Mathematics"
} |
he power of 1/4, to the nearest integer?
20
What is the cube root of 10434 to the nearest integer?
22
What is the third root of 28224 to the nearest integer?
30
What is 23344 to the power of 1/2, to the nearest integer?
153
What is 579 to the power of 1/7, to the nearest integer?
2
What is 12954 to the power of 1/2, to the nearest integer?
114
What is the tenth root of 1823 to the nearest integer?
2
What is 3526 to the power of 1/6, to the nearest integer?
4
What is 447 to the power of 1/8, to the nearest integer?
2
What is the square root of 35602 to the nearest integer?
189
What is 3006 to the power of 1/3, to the nearest integer?
14
What is 10560 to the power of 1/2, to the nearest integer?
103
What is 27967 to the power of 1/6, to the nearest integer?
6
What is the ninth root of 31732 to the nearest integer?
3
What is 135 to the power of 1/8, to the nearest integer?
2
What is the ninth root of 13219 to the nearest integer?
3
What is 2684 to the power of 1/3, to the nearest integer?
14
What is the cube root of 19533 to the nearest integer?
27
What is the cube root of 497 to the nearest integer?
8
What is 2624 to the power of 1/10, to the nearest integer?
2
What is the third root of 16203 to the nearest integer?
25
What is 5226 to the power of 1/3, to the nearest integer?
17
What is 87023 to the power of 1/3, to the nearest integer?
44
What is the square root of 43278 to the nearest integer?
208
What is 1098 to the power of 1/2, to the nearest integer?
33
What is the cube root of 1909 to the nearest integer?
12
What is 211 to the power of 1/2, to the nearest integer?
15
What is the cube root of 97494 to the nearest integer?
46
What is the sixth root of 2034 to the nearest integer?
4
What is the cube root of 1726 to the nearest integer?
12
What is the square root of 11266 to the nearest integer?
106
What is the cube root of 1656 to the nearest integer?
12
What is the square root of 3293 to the nearest integer?
57
What is the ninth root of 32569 to the nearest integer?
3
What is 130207 to the power of 1/3, to the nearest integer?
51
What is the fifth root of 14777 to the nearest integer?
7
What is the tenth root of 11014 to the nearest integer?
3
What is the seventh root of 16310 to the nearest integer?
4
What is 18830 to the power of 1/3, to the nearest integer?
27
What is the square root of 1030 to the nearest integer?
32
What is 530 to the power of 1/2, to the nearest integer?
23
What is the square root of 59794 to the nearest integer?
245
What is the sixth root of 2219 to the nearest integer?
4
What is the square root of 260 to the nearest integer?
16
What is the cube root of 1695 to the nearest integer?
12
What is 785 to the power of 1/4, to the nearest integer?
5
What is the seventh root of 109931 to the nearest integer?
5
What is 9055 to the power of 1/3, to the nearest integer?
21
What is 33280 to the power of 1/2, to the nearest integer?
182
What is the square root of 1297 to the nearest integer?
36
What is the cube root of 5051 to the nearest integer?
17
What is the fifth root of 6203 to the nearest integer?
6
What is the square root of 16151 to the nearest integer?
127
What is the cube root of 102653 to the nearest integer?
47
What is the square root of 137 to the nearest integer?
12
What is the third root of 129914 to the nearest integer?
51
What is 1678 to the power of 1/3, to the nearest integer?
12
What is the third root of 124 to the nearest integer?
5
What is the third root of 110 to the nearest integer?
5
What is 7916 to the power of 1/2, to the nearest integer?
89
What is the square root of 15181 to the nearest integer?
123
What is 9005 to the power of 1/2, to the nearest integer?
95
What is 2006 to the power of 1/9, to the nearest integer?
2
What is the cube root of 806 to the nearest integer?
9
What is 138654 to the power of 1/8, to the nearest integer?
4
What is 122 to the power of 1/3, to the nearest integer?
5
What is the third root of 106 to the nearest integer?
5
What is 10288 to the power of 1/9, to the nearest integer?
3
What is 93099 to the power of 1/9, to the nearest integer?
4
What is 1515 to the power of 1/3, to the nearest integer?
11
What is the tenth root of 140473 to the nearest integer?
3
What is the square root of 322 to the nearest integer?
18
What is the square root of 100422 to the nearest integer?
317
What is the eighth root of 2483 to the nearest integer?
3
What is 3816 to the power of 1/2, to the nearest integer?
62
What is the cube root of 98951 to the nearest integer?
46
What is the fourth root of 76837 to the nearest integer?
17
What is 13169 to the power of 1/3, to the nearest integer?
24
What is 37966 to the power of 1/3, to the nearest integer?
34
What is 31567 to the power of 1/3, to the nearest integer?
32
What is the square root of 170167 to the nearest integer?
413
What is 11911 to the power of 1/5, to the nearest integer?
7
What is 2496 to the power of 1/3, to the nearest integer?
14
What is 1217 to the power of 1/3, to the nearest integer?
11
What is 2285 to the power of 1/7, to the nearest integer?
3
What is the cube root of 2309 to the nearest integer?
13
What is 107236 to the power of 1/8, to the nearest integer?
4
What is 56443 to the power of 1/6, to the nearest integer?
6
What is the square root of 127117 to the nearest integer?
357
What is the fourth root of 6026 to the nearest integer?
9
What is the cube root of 16364 to the nearest integer?
25
What is 912 to the power of 1/5, to the nearest integer?
4
What is the third root of 20764 to the nearest integer?
27
What is the fourth root of 1405 to the nearest integer?
6
What is 9534 to the power of 1/2, to the nearest integer?
98
What is 1069 to the power of 1/4, to the nearest integer?
6
What is the seventh root of 16845 to the nearest integer?
4
What is the cube root of 7 to the nearest integer?
2
What is the square root of 21084 to the nearest integer?
145
What is the third root of 578 to the nearest integer?
8
What is 49424 to the power of 1/3, to the nearest integer?
37
What is 1480 to the power of 1/4, to the nearest integer?
6
What is 26382 to the power of 1/2, to the nearest integer?
162
What is 47342 to the power of 1/2, to the nearest integer?
218
What is the square root of 758 to the nearest integer?
28
What is 1349 to the power of 1/3, to the nearest integer?
11
What is 45132 to the power of 1/2, to the nearest integer?
212
What is the square root of 24487 to the nearest integer?
156
What is the cube root of 8291 to the nearest integer?
20
What is the third root of 626 to the nearest integer?
9
What is the square root of 570 to the nearest integer?
24
What is 31490 to the power of 1/10, to the nearest integer?
3
What is 3135 to the power of 1/5, to the nearest integer?
5
What is the third root of 18478 to the nearest integer?
26
What is the fifth root of 3816 to the nearest integer?
5
What is the square root of 10984 to the nearest integer?
105
What is the third root of 1732 to the nearest integer?
12
What is the seventh root of 8579 to the nearest integer?
4
What is the square root of 36587 to the nearest integer?
191
What is 1775 to the power of 1/3, to the nearest integer?
12
What is 35740 to the power of 1/10, to the nearest integer?
3
What is 368 to the power of 1/3, to the nearest integer?
7
What is the ninth root of 1226 to the nearest integer?
2
What is 7849 to the power of 1/3, to the nearest integer?
20
What is the fourth root of 292 to the nearest integer?
4
What is the square root of 1229 to the nearest integer?
35
What is 11674 to the power of 1/9, to the nearest integer?
3
What is the square root of 6226 to the nearest integer?
79
What is 1861 to the power of 1/10, to the nearest integer?
2
What is 5454 to the power of 1/9, to the nearest integer?
3
What is the third root of 29399 to the nearest integer?
31
What is the tenth root of 1910 to the nearest integer?
2
What is the fifth root of 21628 to the nearest integer?
7
What is the square root of 621 to the nearest integer?
25
What is 2623 to the power of 1/6, to the nearest integer?
4
What is 79323 to the power of 1/8, to the nearest integer?
4
What is the third root of 186 to the nearest integer?
6
What is the fifth root of 574 to the nearest integer | {
"pile_set_name": "DM Mathematics"
} |
are there in 0.8550084 months?
0.0000712507
Convert 508357.3 weeks to seconds.
307454495040
How many millilitres are there in 438.146l?
438146
What is eleven quarters of a millennium in years?
2750
Convert 84948.98t to micrograms.
84948980000000000
What is 57968.69ml in litres?
57.96869
Convert 15.81573 millennia to decades.
1581.573
How many micrograms are there in one twentieth of a gram?
50000
How many minutes are there in 0.5855442 microseconds?
0.00000000975907
Convert 83384.14 milligrams to kilograms.
0.08338414
What is 6.773965 microseconds in milliseconds?
0.006773965
How many meters are there in seven halves of a kilometer?
3500
How many grams are there in 25/4 of a kilogram?
6250
How many millimeters are there in one fifth of a meter?
200
What is 78489.11 minutes in nanoseconds?
4709346600000000
What is 4/3 of a hour in seconds?
4800
Convert 4.690012 nanograms to milligrams.
0.000004690012
What is 549.587 centuries in months?
659504.4
How many micrograms are there in 698073.9 grams?
698073900000
How many millilitres are there in 7/4 of a litre?
1750
What is 27.6234km in nanometers?
27623400000000
What is seven eighths of a micrometer in nanometers?
875
How many millilitres are there in 26920.14 litres?
26920140
Convert 0.85758 kilograms to tonnes.
0.00085758
How many minutes are there in thirteen ninths of a week?
14560
How many nanoseconds are there in 6951.46 milliseconds?
6951460000
Convert 4.581157m to micrometers.
4581157
How many hours are there in 1277675.7 minutes?
21294.595
How many microseconds are there in one quarter of a millisecond?
250
How many millennia are there in 26.667798 months?
0.0022223165
What is 27.63094 meters in micrometers?
27630940
What is 7/8 of a milligram in micrograms?
875
How many tonnes are there in 74.37196 nanograms?
0.00000000000007437196
What is 3796903.8ns in hours?
0.0000010546955
How many decades are there in 52/5 of a millennium?
1040
Convert 51818.5 decades to months.
6218220
What is 1/4 of a millennium in decades?
25
What is 3/32 of a tonne in grams?
93750
What is twenty-seven halves of a microgram in nanograms?
13500
What is 7610.049ms in microseconds?
7610049
How many millilitres are there in 3/8 of a litre?
375
What is seventy-four fifths of a kilogram in grams?
14800
What is 125014.3 days in nanoseconds?
10801235520000000000
Convert 547271.3 millimeters to meters.
547.2713
What is 6/25 of a millennium in years?
240
What is fourty-four fifths of a millimeter in micrometers?
8800
What is 42.03314l in millilitres?
42033.14
What is 1488.024km in centimeters?
148802400
What is 53/4 of a meter in centimeters?
1325
Convert 881.1646um to kilometers.
0.0000008811646
Convert 9.4744 minutes to seconds.
568.464
What is 477.7529 millilitres in litres?
0.4777529
How many meters are there in 8.961757 nanometers?
0.000000008961757
Convert 5123.125mm to centimeters.
512.3125
What is 712942.4m in nanometers?
712942400000000
What is 66033.91 decades in years?
660339.1
What is 1/4 of a tonne in kilograms?
250
What is fifty-seven halves of a gram in milligrams?
28500
How many nanoseconds are there in eighty-one quarters of a microsecond?
20250
How many kilograms are there in 29/5 of a tonne?
5800
What is 9017.392 milligrams in nanograms?
9017392000
Convert 57885.66ng to micrograms.
57.88566
What is twenty-nine halves of a centimeter in millimeters?
145
What is 51.0868701 minutes in weeks?
0.005068141875
How many minutes are there in four fifteenths of a day?
384
What is 39.39656g in micrograms?
39396560
How many seconds are there in 4/15 of a minute?
16
What is 6912.367 weeks in milliseconds?
4180599561600
How many millilitres are there in 11/8 of a litre?
1375
Convert 50952.13 kilograms to tonnes.
50.95213
What is 9.665141 centuries in months?
11598.1692
Convert 2.759951l to millilitres.
2759.951
Convert 5.28767 decades to millennia.
0.0528767
How many micrograms are there in 5/4 of a milligram?
1250
Convert 561.6629um to kilometers.
0.0000005616629
What is 946.0704 kilometers in nanometers?
946070400000000
How many months are there in seven halves of a decade?
420
Convert 9937.365 days to nanoseconds.
858588336000000000
How many months are there in seven halves of a millennium?
42000
How many nanograms are there in 40100.48 micrograms?
40100480
What is 53/4 of a litre in millilitres?
13250
Convert 0.5101344 milliseconds to nanoseconds.
510134.4
What is 0.9486947 hours in minutes?
56.921682
What is 7/4 of a day in hours?
42
What is eight fifteenths of a hour in minutes?
32
Convert 1248.187 hours to milliseconds.
4493473200
How many millilitres are there in seven eighths of a litre?
875
What is fifty-three quarters of a microsecond in nanoseconds?
13250
What is fourty-seven quarters of a litre in millilitres?
11750
Convert 3603.463l to millilitres.
3603463
Convert 0.1360914 millimeters to nanometers.
136091.4
How many nanograms are there in 4.50735 milligrams?
4507350
How many weeks are there in 80855258.4us?
0.00013368925
What is 67736.65 tonnes in milligrams?
67736650000000
What is 1739.2701us in minutes?
0.000028987835
What is thirty-two fifths of a century in decades?
64
How many nanoseconds are there in 3/5 of a microsecond?
600
How many millilitres are there in 79/2 of a litre?
39500
What is 872562.7 nanograms in tonnes?
0.0000000008725627
What is eleven tenths of a hour in minutes?
66
What is 25386.19 millilitres in litres?
25.38619
What is 811.8712 hours in milliseconds?
2922736320
What is one fifth of a millennium in decades?
20
What is 72.77978 years in decades?
7.277978
What is 7/3 of a day in hours?
56
What is 0.0534044ng in tonnes?
0.0000000000000000534044
What is seventeen quarters of a millennium in months?
51000
How many nanometers are there in 1/20 of a micrometer?
50
How many milligrams are there in 41/2 of a gram?
20500
What is 81.92679 tonnes in nanograms?
81926790000000000
What is 600.926 millimeters in meters?
0.600926
How many centimeters are there in 0.5869249km?
58692.49
Convert 9.40013 micrograms to nanograms.
9400.13
What is 882.3054 kilograms in tonnes?
0.8823054
How many years are there in 29/2 of a century?
1450
How many millilitres are there in 170562.5 litres?
170562500
Convert 0.495925t to milligrams.
495925000
What is 2/15 of a minute in seconds?
8
How many years are there in 13/5 of a millennium?
2600
How many millilitres are there in 1/10 of a litre?
100
What is 5/8 of a kilometer in centimeters?
62500
What is one tenth of a tonne in grams?
100000
How many kilograms are there in 50477.52 milligrams?
0.05047752
How many nanometers are there in fifty-one fifths of a micrometer?
10200
How many micrometers are there in 9356.801m?
9356801000
How many days are there in twenty-three sevenths of a week?
23
How many seconds are there in two fifteenths of a week?
80640
What is 1/5 of a meter in millimeters?
200
Convert 608348.4 kilometers to micrometers.
608348400000000
Convert 684.355m to nanometers.
684355000000
How many hours are there in 4.7710278 nanoseconds?
0.0000000000013252855
What is seven halves of a litre in millilitres?
3500
How many minutes are there in fifteen quarters of a week?
37800
Convert 4939.196 micrograms to nanograms.
4939196
How many millilitres are there in one fifth of a litre?
200
Convert 0.07582 meters to millimeters.
75.82
Convert 0.6349488nm to kilometers.
0.0000000000006349488
How many hours are there in 31.52475 days?
756.594
How many nanometers are there in one fifth of a micrometer?
200
What is 32/5 of a litre in millilitres?
6400
How many millilitres are there in twenty-six fifths of a litre?
5200
How many months are there in 9/10 of a decade?
108
What is 67/5 of a meter in centimeters?
1340
What is 1/4 of a decade in months?
30
How many micrometers are there in one tenth of a millimeter?
100
What is 9.073799t in milligrams?
9073799000
How many nanograms are there in 4063.654 milligrams?
4063654000
How many micrometers are there in 3/25 of a millimeter?
120
Convert 160559.4 millennia to months.
1926712800
What is seven quarters of a century in years?
175
Convert 66.9917 meters to nanometers.
66991700000
What is 92120.51l in millilitres?
92120510
What is 756547.6km in centimeters?
75654760000
Convert 60396.732ns to hours.
0.00000001677687
W | {
"pile_set_name": "DM Mathematics"
} |
+ 81)/13
Determine n, given that 68*n**3 - 138*n**2 - 200*n + 6 = 0.
-1, 1/34, 3
Find x, given that 2*x**2/11 + 358*x/11 - 724/11 = 0.
-181, 2
Factor d**2/3 + 176*d/3 + 7744/3.
(d + 88)**2/3
Factor 5*h**3 - 25*h**2 - 10*h + 120.
5*(h - 4)*(h - 3)*(h + 2)
Find l, given that 8*l**5 + 120*l**4 - 142*l**3 - 204*l**2 + 314*l - 96 = 0.
-16, -3/2, 1/2, 1
Solve -22*d**4 + 136*d**3 - 134*d**2 + 20*d = 0 for d.
0, 2/11, 1, 5
Factor 8*j**3 - 164*j**2 + 220*j + 152.
4*(j - 19)*(j - 2)*(2*j + 1)
Factor 4*q**2 - 360*q - 736.
4*(q - 92)*(q + 2)
Suppose -v**2/4 - 31*v/2 - 61/4 = 0. Calculate v.
-61, -1
Factor 2*y**4 - 58*y**3 + 544*y**2 - 1664*y.
2*y*(y - 13)*(y - 8)**2
Determine j so that 2*j**4/5 - 2*j**3 = 0.
0, 5
Factor -13*j**2/5 - 28*j/5 - 4/5.
-(j + 2)*(13*j + 2)/5
Determine p so that 20*p**5/9 + 82*p**4/9 + 28*p**3/9 - 118*p**2/9 - 4*p/3 = 0.
-3, -2, -1/10, 0, 1
Factor 738*v**2 - 2210*v - 12.
2*(v - 3)*(369*v + 2)
Find b, given that b**4 + 32*b**3 + 286*b**2 + 480*b + 225 = 0.
-15, -1
Suppose -3*l**5 + 21*l**4 + 12*l**3 - 156*l**2 - 144*l = 0. What is l?
-2, -1, 0, 4, 6
Determine c, given that 2*c**5/11 - 92*c**4/11 + 768*c**3/11 - 1664*c**2/11 - 2560*c/11 + 9216/11 = 0.
-2, 4, 36
What is g in -g**2/7 - 47*g/7 - 172/7 = 0?
-43, -4
Factor 2*u**4/9 - 20*u**3/9 + 58*u**2/9 - 16*u/9 - 32/3.
2*(u - 4)**2*(u - 3)*(u + 1)/9
Determine j, given that -2*j**5/9 - 8*j**4/9 + 32*j**2/9 + 32*j/9 = 0.
-2, 0, 2
What is q in q**4 - 801*q**3 - 1605*q**2 - 803*q = 0?
-1, 0, 803
Solve -22*f**2 - 1310*f - 708 = 0 for f.
-59, -6/11
What is c in 4*c**3 - 126*c**2 + 960*c + 512 = 0?
-1/2, 16
Factor 3*p**2 - 288*p + 285.
3*(p - 95)*(p - 1)
Factor 3*r**3 - 9*r - 6.
3*(r - 2)*(r + 1)**2
Factor 5*v**4 + 30*v**3 + 65*v**2 + 60*v + 20.
5*(v + 1)**2*(v + 2)**2
Let -5*x**3 + 31515*x**2 - 66213015*x + 46371181505 = 0. Calculate x.
2101
Suppose w**2/2 - 23*w/2 + 21 = 0. Calculate w.
2, 21
Factor o**5/6 + 65*o**4/6 + 955*o**3/6 - 3265*o**2/6 + 1700*o/3 - 578/3.
(o - 1)**3*(o + 34)**2/6
Factor y**2 - 138*y + 4761.
(y - 69)**2
Factor -t**2/5 - 5124*t/5 - 6563844/5.
-(t + 2562)**2/5
Determine r, given that -r**2/4 - 27*r/2 + 28 = 0.
-56, 2
Let -2*i**3/5 - 12*i**2/5 - 18*i/5 = 0. Calculate i.
-3, 0
Suppose 2*d**5 - 128*d**4/15 - 136*d**3/15 + 36*d**2/5 + 106*d/15 + 4/3 = 0. Calculate d.
-1, -2/5, -1/3, 1, 5
Suppose 2*t**3/7 - 10*t**2/7 - 8*t + 64/7 = 0. Calculate t.
-4, 1, 8
Factor 2*x**4 - 6*x**2 - 4*x.
2*x*(x - 2)*(x + 1)**2
Suppose -14*r**3/5 + 3988*r**2 - 5696*r/5 = 0. What is r?
0, 2/7, 1424
Factor 3*g**4 - 27*g**3 - 3*g**2 + 27*g.
3*g*(g - 9)*(g - 1)*(g + 1)
Let -5*n**4 + 750*n**3 + 5*n**2 - 750*n = 0. What is n?
-1, 0, 1, 150
What is h in 5*h**2 - 275*h - 280 = 0?
-1, 56
Find m such that -m**4/4 - 3*m**3 - 39*m**2/4 - 7*m = 0.
-7, -4, -1, 0
Let 2*t**4/3 + 4*t**3/3 - 14*t**2/3 - 40*t/3 - 8 = 0. What is t?
-2, -1, 3
Suppose -u**5/2 + 13*u**4/2 + 63*u**3/2 + 83*u**2/2 + 17*u = 0. Calculate u.
-2, -1, 0, 17
Factor -o**4 - 21*o**3 - 118*o**2 - 60*o + 200.
-(o - 1)*(o + 2)*(o + 10)**2
Determine i so that i**2 + 28*i - 29 = 0.
-29, 1
Factor -25392*n**3 - 24840*n**2 + 549*n - 3.
-3*(n + 1)*(92*n - 1)**2
Solve -2*m**3/7 + 92*m**2/7 - 90*m/7 = 0 for m.
0, 1, 45
Factor 5*m**2 - 6440*m + 2073680.
5*(m - 644)**2
Find l, given that 16*l**3 - 676*l**2 + 1448*l - 320 = 0.
1/4, 2, 40
Determine d so that 2*d**5/7 - 22*d**4/21 - 2*d**3/3 + 94*d**2/21 - 40*d/21 - 8/7 = 0.
-2, -1/3, 1, 2, 3
Find d such that d**5 - 28*d**4 + 237*d**3 - 486*d**2 - 864*d + 2592 = 0.
-2, 3, 12
Factor 6*w**3/5 + 256*w**2/5 + 168*w/5.
2*w*(w + 42)*(3*w + 2)/5
Solve 22*z**3 + 40*z**2 + 14*z - 4 = 0 for z.
-1, 2/11
Suppose w**3 - 77*w**2 + 1360*w + 4800 = 0. Calculate w.
-3, 40
Factor -u**4 - 23*u**3 - 51*u**2 + 175*u - 100.
-(u - 1)**2*(u + 5)*(u + 20)
What is k in -k**2/4 + 3*k/4 - 1/2 = 0?
1, 2
Determine v so that v**5 + 5*v**4 + 2*v**3 - 14*v**2 - 3*v + 9 = 0.
-3, -1, 1
Suppose -2*q**5 + 30*q**3 - 20*q**2 - 120*q + 144 = 0. Calculate q.
-3, 2
Determine a so that a**2/7 - 16*a - 113/7 = 0.
-1, 113
Determine u, given that -8*u**4/3 + 22*u**3 - 8*u**2/3 - 22*u + 16/3 = 0.
-1, 1/4, 1, 8
What is s in -5*s**5/4 + 35*s**4/2 - 40*s**3 - 160*s**2 = 0?
-2, 0, 8
Factor -2*m**2/11 + 3232*m/11 - 3230/11.
-2*(m - 1615)*(m - 1)/11
Let x**3/5 + 4*x**2/5 + x/5 - 6/5 = 0. What is x?
-3, -2, 1
Determine t so that t**4/8 + t**3/8 = 0.
-1, 0
Factor -2*x**4/3 - 4*x**3 + 8*x**2/3 + 16*x.
-2*x*(x - 2)*(x + 2)*(x + 6)/3
Determine q so that q**5 + q**4 - 2*q**3 - 2*q**2 + q + 1 = 0.
-1, 1
Factor -l**4 - 2*l**3 + 7*l**2 - 4*l.
-l*(l - 1)**2*(l + 4)
Solve 4*f**2 - 72*f - 76 = 0 for f.
-1, 19
Let 4*l**5 + 60*l**4 + 288*l**3 + 432*l**2 = 0. Calculate l.
-6, -3, 0
Factor -v**2/7 + 7568*v/7 - 14318656/7.
-(v - 3784)**2/7
Factor 3*a**2/4 + 1035*a/2.
3*a*(a + 690)/4
What is c in 3*c**2/4 - 9*c/2 - 21/4 = 0?
-1, 7
Factor n**2 - 16*n + 15.
(n - 15)*(n - 1)
Let 2*w**3/3 - 34*w**2/3 + 28*w/3 + 784/3 = 0. What is w?
-4, 7, 14
Factor -7*v**3/2 + 39*v**2/2 - 19*v - 12.
-(v - 4)*(v - 2)*(7*v + 3)/2
Factor 4*z**4/7 - 12*z**3/7 - 4*z**2/7 + 12*z/7.
4*z*(z - 3)*(z - 1)*(z + 1)/7
Find b, given that -2*b**2 - 3580*b - 1602050 = 0.
-895
Suppose -2*c**4 - 34*c**3 - 80*c**2 + 600*c = 0. What is c?
-10, 0, 3
What is m in -5*m**2 - 810*m - 2385 = 0?
-159, -3
Determine d, given that d**5/11 + 251*d**4/11 + 15370*d**3/11 - 47626*d**2/11 + 48133*d/11 - 16129/11 = 0.
-127, 1
Suppose 2*k**3/21 - 50*k**2/21 + 82*k/7 - 114/7 = 0. Calculate k.
3, 19
Determine b, given that -15*b**3 - 445*b**2 + 615*b - 155 = 0.
-31, 1/3, 1
Factor -2*w**2 + 8*w + 42.
-2*(w - 7)*(w + 3)
Let t**4 - 11*t**3 - 13*t**2 + 11*t + 12 = 0. Calculate t.
-1, 1, 12
Determine i, given that 6*i**5/11 - 2100*i**4/11 + 4176*i**3/11 + 12*i**2/11 - 4182*i/11 + 2088/11 = 0.
-1, 1, 348
Solve 2*v**5/17 + 6*v**4/17 - 92*v**3/17 + 144*v**2/17 = 0 for v.
-9, 0, 2, 4
Solve 3*y**2/2 + 127*y/2 + 21 = 0.
-42, -1/3
Let 3*p**3 - 315*p**2 + 1482*p + 1800 = 0. Calculate p.
-1, 6, 100
Determine j so that -2*j**2/3 - 82*j/3 + 28 = 0.
-42, 1
Solve -t**5 - 4905*t**4 - 6017208*t**3 - 6012304*t**2 = 0 for t.
-2452, -1, 0
Let -w**3/2 - 13*w**2 + 149*w/2 - 93 = 0. What is w?
-31, 2, 3
Find m such that 30*m**3/23 - 82*m**2/23 - 140*m/23 - 48/23 = 0.
-2/3, -3/5, 4
Suppose -162*x**5/13 + 36*x**4 + 490*x**3/13 - 1628*x**2/13 + 1024*x/13 - 192/13 = 0. Calculate x.
-2, 4/9, 1, 3
Factor -4*m**5/7 - 8*m**4/7 + 12*m**3/7 + 16*m**2/7 - 16*m/7.
-4*m*(m - 1)**2*(m + 2)**2/7
Find x such that 70*x**3 - 37*x**2 - 31*x - 2 = 0.
-2/5, -1/14, 1
Factor -j**4/7 - j**3/7 + 3*j**2/7 + 5*j/7 + 2/7.
-(j - 2)*(j + 1)**3/7
Suppose 4*u**3 - 5964*u**2 + 2220096*u + 2226064 = 0. What is u?
-1, 746
Factor i**4/3 + 80*i**3 + 316*i**2 + 944*i/3.
i*(i + 2)**2*(i + 236)/3
Factor g**4/3 + 13*g**3/3 + 17*g**2 + 21*g.
g*(g + 3)**2*(g + 7)/3
Let -2*z**4 - 90*z**3 - 1302*z**2 - 5542*z + 6936 = 0. Calculate z.
-17, -12, 1
Let -20*h**2/9 + 44*h/3 - 8 = 0. What is h?
3/5, 6
Factor a**4/6 - 13*a**2/6 + 2*a.
a*(a - 3)*(a - 1)*(a + 4)/6
Factor 2*v**2/9 - 52*v/3 + 338.
2*(v - 39)**2/9
Solve -5*h**5 - 40*h**4 - 90*h**3 - 20*h**2 + 95*h + 60 = 0.
-4, -3, -1, 1
Let 12*z**3 + 3488*z**2 + 16048*z + 9152 = 0. Calculate z.
-286, -4, -2/3
Factor 2*k**4/7 - 128*k**3/7 - 130*k**2/7.
2*k**2*(k - 65)*(k + 1)/7
Let 14*v**5 - 38*v**4 - 236*v**3 - 232*v**2 - 48*v = 0. What is v?
-2, -1, -2/7, 0, 6
Suppose -5*t**3 - 90*t**2 + 5*t + 90 = 0. What is t?
-18, -1, 1
Find m, given that m**3 - 119*m**2 + 116*m + 236 = 0.
-1, 2, 118
Factor 3*a**2 - 7797*a - 7800.
3*(a - 2600)*(a + 1)
Factor 3*m**4 - 12*m**3 + 9*m**2.
3*m**2*(m - 3)*(m - 1)
Determine k so that 2*k**2/3 + 224*k/3 = 0.
-112, 0
Determine g so that -g**5/8 + g**4/4 + 6*g**3 + 61*g**2/4 + 113*g/8 + 9/2 = 0.
-4, -1, 9
Factor -3*s**2/4 + 915*s/2 - 279075/4.
-3*(s - 305)**2/4
Factor -f**2/3 + 56*f/3 - 784/3.
-(f - 28)**2/3
Find j, given that -3*j**4 + 228*j**3 + 3*j**2 - 228*j = 0.
-1, 0, 1, 76
Suppose 12*i**2 - 376*i - 256 = 0. Calculate i.
-2/3, 32
Factor -338*j**2/7 + 104*j - 56.
-2*(13*j - 14)**2/7
Factor 2*m**4/17 + 16*m**3/17 + 42*m**2/17 + 36*m/17.
2*m*(m + 2)*(m + 3)**2/17
Find j, given that j**2/3 - 65*j/3 - 68 = 0.
-3, 68
Factor -33*j**2/7 - 12*j/7.
-3*j*(11*j + 4)/7
Solve -3*v**3 - 12*v**2 + 12*v + 48 = 0.
-4, -2, 2
Solve -9*q**5/5 + | {
"pile_set_name": "DM Mathematics"
} |
*q wrt q.
20*q**3
Differentiate -5 - 1 - 4*d**4 + 2 wrt d.
-16*d**3
Let p(k) be the first derivative of -k**8/84 - 5*k**4/12 + 5*k**2 - 11. Let f(h) be the second derivative of p(h). Find the second derivative of f(j) wrt j.
-80*j**3
Let x(t) = 27*t**3 - 7*t**2 - 4*t. Let f(w) = -w**3 - w**2 + w. Let h(c) = 4*f(c) + x(c). What is the third derivative of h(y) wrt y?
138
Let r(u) be the second derivative of 5*u**7/42 - u**4/2 + 4*u. Find the third derivative of r(l) wrt l.
300*l**2
What is the first derivative of 18*x**4 - 27*x**4 - 8 + 12*x**4 wrt x?
12*x**3
Let m(c) be the second derivative of c**7/14 + c**4/2 + 4*c. What is the third derivative of m(n) wrt n?
180*n**2
Let u(f) be the third derivative of 3*f**5/10 + f**4/8 + 11*f**2. Find the second derivative of u(m) wrt m.
36
Suppose -2*m - 3*m + p = -19, -2*m + p = -10. What is the third derivative of -5*w**2 - w**2 - 2*w**2 + w**m - 6*w**3 wrt w?
-30
Let y(p) be the first derivative of 12*p**5/5 + 2*p**3 - 23. Find the third derivative of y(j) wrt j.
288*j
Suppose 28 = 4*g - 0*g. Suppose -2*c - 10 = -g*c. Find the second derivative of -s**5 + c*s - s + 3*s**5 wrt s.
40*s**3
Let v = -5 + 2. Let w(l) = 5*l**3 - 3*l**2 - 4. Let u(t) = -11*t**3 + 7*t**2 + 9. Let r(x) = v*u(x) - 7*w(x). What is the first derivative of r(d) wrt d?
-6*d**2
Let b(f) = -1. Let w(h) = 24*h + 6. Let v(i) = -6*b(i) + w(i). What is the first derivative of v(g) wrt g?
24
Let s(c) = -33*c**4 + 72*c**2 + 7. Let f(r) = -22*r**4 + 48*r**2 + 5. Let w(t) = 7*f(t) - 5*s(t). Find the third derivative of w(i) wrt i.
264*i
Differentiate 51*z**3 + 1 + 0 - 60*z**3 with respect to z.
-27*z**2
What is the second derivative of -101*y**3 + 14*y + 105*y**3 + 9*y wrt y?
24*y
Let x = -3 + 5. Let f(y) = y**2 - y + 2. Let m be f(x). What is the third derivative of 0*h**4 - m*h**2 + h**4 + 2*h**2 wrt h?
24*h
Suppose 3*s = 2*s + 2. Let f(m) = 6*m**4 - 2*m**3 + 2*m**2 + 2*m - 1. Let j(d) = -d**4 + d**3 - d**2 - d. Let z(b) = s*f(b) + 4*j(b). Differentiate z(x) wrt x.
32*x**3
Let v(i) be the second derivative of -5*i**8/56 + 2*i**4/3 - 2*i. What is the third derivative of v(g) wrt g?
-600*g**3
Let k = 153 - 9179/60. Let r(t) be the third derivative of t**2 + 1/60*t**5 + 0*t**4 + k*t**6 + 0*t**3 + 0*t + 0. Find the third derivative of r(n) wrt n.
12
Let v(q) = -3*q - 1. Let x be v(-1). Find the third derivative of -x*u**2 + u**2 - u**4 + 2*u**2 wrt u.
-24*u
What is the derivative of 5 - j**4 + 6*j**2 - 6*j**2 wrt j?
-4*j**3
Let f(p) be the first derivative of 2*p**6/3 + 5*p**2/2 - 1. What is the second derivative of f(h) wrt h?
80*h**3
Let a = 4 + -2. Let p be 3/(1 - (-1)/a). Differentiate g**3 - p - g**3 + g**4 wrt g.
4*g**3
Let v(z) be the first derivative of -z**6/10 - z**3/3 + 4*z + 4. Let p(o) be the first derivative of v(o). What is the second derivative of p(t) wrt t?
-36*t**2
Let t(c) = -c**4 + 34*c**3 + 41. Let v(f) = -f**4 + 33*f**3 + 41. Let o(z) = 4*t(z) - 5*v(z). Find the first derivative of o(r) wrt r.
4*r**3 - 87*r**2
Let x(k) = -30*k - 21. Let j(w) = -w + 1. Let b(p) = -2*j(p) - x(p). What is the first derivative of b(g) wrt g?
32
Let f(b) be the first derivative of -b**4/2 - b**3/3 + 2. Find the third derivative of f(o) wrt o.
-12
Suppose -13 - 17 = -5*w. Let y(q) be the first derivative of -3 + 1/2*q**w - q**3 + 0*q**4 + 0*q**2 + 0*q + 0*q**5. What is the third derivative of y(g) wrt g?
180*g**2
Let h(m) be the third derivative of m**5/60 - m**4/4 + 2*m**3/3 + 2*m**2. Let r be h(6). What is the second derivative of 2*y**4 - 2*y + 0*y - y**r wrt y?
12*y**2
Let i(z) be the second derivative of -7*z**5/20 - 13*z**4/12 - 48*z. What is the third derivative of i(d) wrt d?
-42
Let x be (-56)/(-35) - (-2)/5. Let g(u) be the third derivative of -1/3*u**3 + 0*u + 0 + 0*u**4 - 2*u**x - 1/60*u**5. What is the derivative of g(n) wrt n?
-2*n
Let v(o) = o**4 + o**3 + o**2 - o. Let n(h) = -42*h**4 - 30*h**3 - 30*h**2 + 24*h. Let l(s) = -n(s) - 30*v(s). Find the second derivative of l(j) wrt j.
144*j**2
Let j(u) = -2*u**2 + 3*u + 6. Let a(i) = i**2 - 2*i - 5. Suppose 5*f + 3*p + 23 = -p, -f = 5*p + 13. Let g(d) = f*a(d) - 2*j(d). Differentiate g(y) wrt y.
2*y
Let w(c) be the first derivative of 0*c**2 + 0*c + 3/4*c**4 + 1/3*c**3 + 1. Find the third derivative of w(a) wrt a.
18
Let d(y) = -y**2 + y - 1. Let u(v) = v - 11. Let z be u(10). Let w(p) = p**2 - 3*p - 1. Let n(i) = z*w(i) - 3*d(i). Find the first derivative of n(m) wrt m.
4*m
Let c(i) be the first derivative of 6*i**5/5 + 16*i**3/3 + 5. What is the third derivative of c(f) wrt f?
144*f
Let u(c) be the second derivative of 0 + c**2 + 0*c**3 + 0*c**4 - 1/10*c**6 + 4*c + 0*c**5. Differentiate u(z) with respect to z.
-12*z**3
What is the third derivative of -16*k**2 - 52*k + 52*k - 13*k**6 wrt k?
-1560*k**3
Let s = -6 + 9. What is the third derivative of -4*h**3 + 3*h**s + 3*h**2 + h**2 - h**2 wrt h?
-6
Find the third derivative of l**2 - 5*l**2 + 2*l**4 - 4*l**4 wrt l.
-48*l
Let n(h) = 51*h**2 + h - 59. Let z(o) = -50*o**2 - o + 57. Let j(s) = 5*n(s) + 6*z(s). Differentiate j(r) with respect to r.
-90*r - 1
Suppose -2*n = 5*f - 144, 0 = -3*f - n - n + 88. Suppose 4*j - f = -4. What is the third derivative of u**2 + 2*u**2 - 5*u**6 + 4*u**j wrt u?
-120*u**3
Find the second derivative of 6*g + 22*g + g**3 - 1385*g**5 + 1381*g**5 wrt g.
-80*g**3 + 6*g
Suppose -3*w = -3*m - 6, -11 + 3 = -4*w + 3*m. Suppose w*f + 4*k = -10, 4*k = 2*f + 2*f - 28. What is the first derivative of f + 2*a**2 - 3 - 2 wrt a?
4*a
Differentiate 10*z**3 - 3*z + 2 + 3*z + 5 wrt z.
30*z**2
Let b(u) = u**2 - 17*u - 18. Let p be b(18). Let w(l) be the second derivative of 1/2*l**3 - l - 3/2*l**2 + p. Find the first derivative of w(s) wrt s.
3
Let d(i) = i**3 - 2*i**2 - 2*i - 1. Let c(s) = 2*s - 9. Let p be c(6). Let x be d(p). Find the second derivative of -z**3 - x*z**4 - 3*z - z**3 + 2*z**3 wrt z.
-24*z**2
Suppose -2 = 3*y - 2*m, -y = -m - 0 + 1. Find the third derivative of 4*v**5 - 6*v**5 - v**2 + y*v**2 - 4*v**2 wrt v.
-120*v**2
Let f be 75/(-45) - -1*2. Let g(a) be the first derivative of 0*a**2 + 0*a + 2 - f*a**3 - 1/2*a**4. Find the third derivative of g(o) wrt o.
-12
Let z(r) be the first derivative of 7*r**5/120 - 7*r**4/24 + 2*r**3/3 + 6. Let n(a) be the third derivative of z(a). What is the derivative of n(d) wrt d?
7
What is the second derivative of 0*s**4 - 5*s**4 - 4*s**5 - 3*s**5 + 2 - 153*s + 184*s wrt s?
-140*s**3 - 60*s**2
Let y(m) = 21*m**3 + 5*m**2. Let x(t) = -7*t**3 - 2*t**2. Let g(z) = -7*x(z) - 2*y(z). What is the third derivative of g(c) wrt c?
42
Find the third derivative of 119*m**5 + 22*m**2 - 72*m**5 - 65*m**5 wrt m.
-1080*m**2
Let d(o) be the first derivative of o**5/5 + 2*o**3 - 11. Find the third derivative of d(b) wrt b.
24*b
Differentiate 30 - 48*x**3 - 28*x**3 + 89*x**3 wrt x.
39*x**2
Let z(i) = i**2 - 3*i - 6. Suppose -26 = -4*c + 5*x + 4, -2*c + 3*x = -16. Let a be z(c). Differentiate 4 - 1 + r - a - 5*r with respect to r.
-4
Let z = 13 + -12. Let x(y) = y**2 - y - 1. Let i(m) = -5*m**2 - m + 4. Let t(h) = z*i(h) + 4*x(h). What is the second derivative of t(l) wrt l?
-2
Suppose -4*v + 32 = -0*v - 2*r, -2*r + 13 = v. What is the derivative of -19*y**2 + v*y**2 + 6*y**2 + 1 wrt y?
-8*y
What is the derivative of 7*w - 2*w + 10 + 6 + 1 wrt w?
5
Let s(w) be the third derivative of -17*w**4/24 - 25*w**3/3 + 2*w**2 + 21. What is the first derivative of s(m) wrt m?
-17
Let h(l) be the first derivative of 3 - 2/5*l**5 - 3*l + 0*l**3 + 0*l**2 + 0*l**4. Find the first derivative of h(f) wrt f.
-8*f**3
Let k(a) = 3*a**3 - 12*a - 9. Let r(v) = 2 - 3 + 0*v + 0*v - v. Let q(o) = k(o) - 9*r(o). What is the second derivative of q(w) wrt w?
18*w
Let s(l) be the second derivative of l**7/840 - l**6/45 + 5*l**3/3 + 2*l. Let p(u) be the second derivative of s(u). Find the third derivative of p(g) wrt g.
6
Let r(s) be the second derivative of 1/2*s**3 + 0*s**5 - s + 0 - 1/30*s**6 + 0*s**4 + 0*s**2. What is the second derivative of r(a) wrt a?
-12*a**2
Let h be (2 + -2)*(0 + 1). Let b(l) be the second derivative of 0*l**3 + h*l**4 + 0 + 1/20*l**5 - l + 1/2*l**2. What is the derivative of b(z) wrt z?
3*z**2
Suppose 10*s = 4*s + 12. Let d(i) = -i + 8. Let w be d(6). Find the third derivative of 2*b**2 - b | {
"pile_set_name": "DM Mathematics"
} |
to p? (a) 2 (b) 0.1 (c) -2/3
c
Let q = 348 + -353. What is the nearest to -2 in -4, 2/23, q?
-4
Let a = 0.5 - 0. Let u = 5.9086 + 0.0914. What is the closest to 1 in 0.3, u, a?
a
Let g = 28 - 27.8. What is the closest to -2 in -2/19, g, 0.4?
-2/19
Let i = 2 + -6. Let x = 0 - -1. Let u = 0.201 - 0.001. Which is the nearest to u? (a) 3 (b) i (c) x
c
Suppose -s + 0*z + 2*z + 22 = 0, -3*z = 9. Suppose 2*c - 6*c + 24 = 0. Let m be (-2)/6 - s/c. What is the nearest to -0.1 in m, -1/4, 0?
0
Let b = 1.647 - 1.747. What is the nearest to 1/6 in 1/3, b, -32?
1/3
Let m = -226.4 + 226. What is the closest to 3 in 0.4, m, 4, 1?
4
Let b be -4 + 40/48 + 3. What is the nearest to 6 in -2, b, 4?
4
Let g = 1 + 0. Let x = 197.924 - 198. Let t = x + 0.176. Which is the closest to g? (a) t (b) -1/3 (c) 2/11
c
Let f be 3/(-2)*(-3)/(-18). Suppose d - 552 = -0*a + 4*a, -5*d + 536 = -4*a. Let l = 140 + a. What is the nearest to -2/3 in f, 1.1, l?
f
Let k = -137 - -205. Let g = k - 68. Which is the nearest to -2/13? (a) 0.2 (b) 5 (c) g
c
Let q = 1 + -0.9. Let p = -0.3214 - 0.0786. What is the closest to q in -4/3, p, -3?
p
Let u = 353 - 353.3. Which is the closest to -57? (a) u (b) 1 (c) 1/5
a
Suppose p + 94 = 6*p - 4*y, 13 = p + 5*y. Let o = -7 - 3. Let q be 22/o + p/6. What is the closest to -3 in 3, 4, q?
q
Let l = 27 - 54. Let z = l - -25. Which is the nearest to -5? (a) -4 (b) z (c) 2
a
Let g = -8.7 - 40.3. Let i = g + 49.5. Which is the nearest to 2/7? (a) i (b) 0.4 (c) 0
b
Let q = -0.071 - -0.271. What is the nearest to -63 in 4/7, q, 0.4?
q
Let z = -738 - -740. What is the closest to z in -5, 0.5, 6, 0.3?
0.5
Let o = 1804 - 1808. Which is the closest to -2/5? (a) -48 (b) 4 (c) o (d) -1
d
Let o be (-2)/16*(12 + -5 - 15). Let v = -1.3 - -2. Let w = v + -1. Which is the nearest to -3? (a) w (b) 4 (c) o
a
Let u = -1999 - -2001. What is the nearest to u in -4, 21, -0.17, 0?
0
Let x = 0.04 - 0.44. Let f = -0.1 + 0.21. Let p = f - 0.01. Which is the closest to p? (a) 2 (b) x (c) 1/4
c
Let k = 140.4 + -140.1. Let f = 0.7 + 0.3. Which is the closest to f? (a) 0.4 (b) 0.1 (c) k
a
Let b = -38 - -38.3. What is the nearest to -0.2 in b, 3, 5?
b
Let z be 0/2*37/74. What is the closest to 1/4 in -2, 3/4, z, 0.2?
0.2
Let d = -11.97 - -12. Let p = d - 3.03. Let o be (-3 - 1 - -3)*0. Which is the closest to p? (a) -1/3 (b) -4 (c) o
b
Let k be (175/(-5))/5 + 0 + 1. Which is the nearest to k? (a) 1 (b) 0.4 (c) -4
c
Let h = 185.6 - 186. What is the nearest to -0.2 in -12, -2, h?
h
Let m = -2 - -7. Let j = m - 1. Let s = 3.9 - j. Which is the closest to s? (a) 0.4 (b) 1 (c) -3
a
Let j = 0.09 + 0.01. Suppose -l - 4*u - 17 = 0, 2*l - 5*l = 5*u + 23. Which is the closest to 0.1? (a) -5 (b) j (c) l
b
Let o = -0.033 + 36.033. Let l = o - 35.6. What is the nearest to -1/4 in -3, l, 1/6?
1/6
Let q = 74/9 + -397/45. Let m = -16.5 - -18.5. What is the nearest to -2/13 in -0.4, q, m?
-0.4
Let i = 1470 - 1475. Let k = 0.2 + -1.4. Let f = k - -1. Which is the nearest to f? (a) 0.3 (b) -3 (c) i
a
Let s = -893/90 - -97/10. Suppose l + 4*y + 4 = -3*l, -4*y + 12 = -4*l. Let d be (l/(-10))/(6/15). What is the closest to s in -4, d, -1?
d
Let h = 4975 - 4975. Let m = 3/8 - 5/8. Which is the nearest to 3/4? (a) m (b) -5 (c) h
c
Let o = 14 + -14. Let m = -0.58 - -0.28. What is the closest to 3 in o, -3/5, m?
o
Let r = 35 + -25. Let f = r + 1. Let v = -11 + f. Which is the nearest to v? (a) -5/3 (b) 2/11 (c) -4
b
Suppose -3*a - 3 = 3*c, -2*c + 6*a + 23 = 3*a. Let f = -97 - -102. What is the closest to -0.1 in f, 0.3, c?
0.3
Let r = 43 + -94. Let s = r + 50.7. Which is the nearest to s? (a) 3 (b) -2 (c) 1/9
c
Let r = -0.914 + -0.086. Let g be 2*((-3)/(-18))/(-1). What is the nearest to g in -4, -1/2, r?
-1/2
Let z = -6109 + 6106. Let k = 0.2 - 0.4. Which is the closest to k? (a) -13 (b) z (c) 1
c
Let j = 1113/20 + -223/4. Which is the closest to -0.06? (a) -1/2 (b) j (c) -1/3
b
Let v = 183 + -1285/7. Let g = -56 - -54. Which is the closest to -2? (a) 0 (b) v (c) g
c
Let m be 68/(-16) + 2/8. Let j be (-2 - 9/(-4))*-1. Let z = -3403/3 - -1133. What is the nearest to j in m, z, 3?
z
Let w = -0.1286 + 0.4286. Which is the closest to 0.3? (a) 4 (b) -2 (c) w (d) -2/3
c
Let u = -659 + 663. Which is the closest to 2/5? (a) 0.08 (b) u (c) -5
a
Suppose -31 = 4*y - 27. What is the nearest to y in 3, -5/4, -16?
-5/4
Let y be -5*1 + (1204/63)/4. What is the closest to y in -0.3, 2, -1/4, 1?
-1/4
Suppose -y = -9 + 5. Let j be (y/(-58))/(-3 - -2). Let m = -64/87 + j. Which is the closest to m? (a) 4 (b) 4/7 (c) 1/5
c
Let t be 1/((-4)/4) - -4. Suppose 3*q - t*d = -15, -9*q - 10 = -7*q - 4*d. What is the nearest to 1 in q, -0.1, 5?
-0.1
Suppose -5*q - 5*k - 20 = 0, -q = -4*k + 11 - 2. Let r = -0.36 - 0.04. What is the nearest to -1 in -0.1, q, r?
r
Let f = -94/9 - -91/9. Which is the nearest to -2/3? (a) -6 (b) -33 (c) f
c
Let j be 15/((-60)/(-8))*-1. Which is the closest to j? (a) -1 (b) -4 (c) -13
a
Let z = 29 + -22. Let v = z - 6. What is the nearest to -2 in 0.3, -3, v?
-3
Let r(t) = -54*t - 101. Let l be r(-2). What is the closest to 1 in -0.01, 0.3, l?
0.3
Suppose 4*n = 4*s - 12, 5*s - 2 = 3*n + 7. Let m = -105 - -527/5. Which is the nearest to m? (a) -0.1 (b) -0.5 (c) n
a
Let d = 6 - 3. Let g = 10310 - 10314. Which is the closest to -0.2? (a) g (b) -1/5 (c) d
b
Let q = 1355 + -71813/53. Let o = q + -61/212. Let t = -8.1 - -8. Which is the nearest to t? (a) o (b) 3 (c) 0.3
a
Let g(l) = -l**2 + 7*l - 8. Let n be g(6). Let x = -0.02502 + 4.02502. Let k = 0.8 - 1. Which is the closest to n? (a) k (b) x (c) -0.1
a
Let x = 525 + -524.5. Let c = 0.7 - 1. Let p = -0.1 - c. What is the closest to -1 in -1, x, p?
-1
Let o = -0.11 + 0.31. Let x = 15/2 - 7. Let i = -32 - -34. Which is the nearest to x? (a) i (b) o (c) -4
b
Suppose 60 = 2*i + 8. Suppose -i*h = -31*h - 25. Let x = -1.5 + 1.5. Which is the nearest to x? (a) h (b) -5/4 (c) 2/7
c
Let b = 0.0734 - -0.1266. Let h = -11 + 11.5. What is the closest to -2 in b, 0.3, h?
b
Let g = -0.107 - 0.093. What is the closest to 11 in g, -1/2, 0.5?
0.5
Let d be (1*(2 + -3))/3. Suppose -4*u - 6 = 5*l - 2*u, -5*u = -10. Which is the closest to -0.1? (a) -4 (b) d (c) l
b
Let u = 2523.1 + -2523. Let p = 0.4 - 0.2. Which is the closest to 0? (a) -8 (b) p (c) u
c
Let v(j) = j**2 + 7*j - 4. Let u = 6 + -13. Let g be v(u). Which is the closest to -0.1? (a) g (b) 2/9 (c) 0.1
c
Let i(l) = 5*l + 163. Let s be i(-33). What is the nearest to s in -3, -0.1, -7, 0.5?
-3
Suppose -2*g + 4*p - 17 = 5, 2*p = -5*g + 5. Let x = 0 - -0.3. Let c = -11 + 8. What is the nearest to g in x, c, -3/4?
-3/4
Let y = 749/66 + -67/6. Suppose -n - 3*s = 16, -5*s = -1 + 26. Let k = -1.4 - -0.4. Which is the closest to k? (a) y (b) 0.5 (c) n
c
Let y = 5 + -5.3. Suppose -35 = 5*j - 30. Let t = 1 + 0. What is the closest to t in y, j, -4?
y
Let u = -38.0682 - 0.0318. Let c = u + 38. Let x = -0.5 + -2.5. What is the closest to -1 in x, 2/9, c?
c
Let o = -0.016 - -83.016. Let d = o + -84. What is the nearest to -1/2 in -5, -2/9, d?
-2/9
Let x = -314 - -313.2. What is the nearest to x in -2/3, 2/11, 0.5, -0.01?
-2/3
Let w = -41 + 165/4. Let l = -8 - -7. Let i = 0.9 + 0.1. What is the nearest to i in 3/8, l, w?
3/8
Let r be (0 - 6)*38/76. Suppose 0 = -2*n + 8 + 2. What is the closest to -1 in n, -0.4, r?
-0.4
Let x = -1 + 3. Suppose -x*h - 10 = 3*h. Let q be 0 - (90/24 - 4). What is the nearest to q in h, 0.5, 0.1?
0.1
Let s be (-12)/15 + (-244)/(-305). Let b be 3*-1 + 1 - -22. Let a be (1/5)/((-16)/b). What is the nearest to 0.4 in a, s, 3/2?
s
Let l = -104.5 + 104.5. Which is the nearest to l? (a) -1/6 (b) 0.5 (c) 5 (d) 2/17
d
Let u = -83 - -58. Let g = -122/5 - u. What is the closest to 1 in -1/2, -3, g?
g
Let l = -1 - 2. Let k be 1*-8 - (-5 - (-80)/(-16)). Let u = 1 + 0. What is the closest to 4 in u, k, l?
k
Let c = -336 + 336. Let z = 0.3 - 0. Let v = 0.2 - z. What is the nearest to 1 in 4, v, c?
c
Suppose s = -3, 4*t + 4*s - 132 = t. Let r = 50 - t. Which is the closest to -2? (a) -3/5 (b) -1/5 (c) r
a
Let v = 3 + 3. Suppose -2*j - 4*x = -82, -j + v*x = 2*x - 11. Let g = j + -61/2. Which is t | {
"pile_set_name": "DM Mathematics"
} |
ound s to 1 decimal place.
-1.1
Let r = 3155879517492.999868 + -3155889535451. Let m = r + 10017990. Let s = m + -32. Round s to five decimal places.
-0.00013
Suppose 4*w = -2*q - 0*q + 58, w + 2*q = 22. Let b be 1/(w/(-15) + 1). Let i be (-1)/5 + (-31999999)/b. What is i rounded to the nearest one million?
-6000000
Let b = -18.66 - 0.34. Let k = b + 19.00013. Round k to four decimal places.
0.0001
Let c = 11.099564 + -11.1. What is c rounded to 4 decimal places?
-0.0004
Suppose 3*b + 4*l + 3 = 0, 4*l = -2*b - 8 + 2. Suppose v + b*v - 2*i = -3202, -2*i + 2 = 0. What is v rounded to the nearest one hundred?
-800
Let p = 4 - 3. Let x = p - 1. Let o = x - 0.22. What is o rounded to one decimal place?
-0.2
Let h = 0.069 - 1.079. Round h to 1 dp.
-1
Let s be 44954937/45 + 4/10. Let j = 9701001 + s. What is j rounded to the nearest one million?
11000000
Let p = -6065.088 + 6045. Let d = p + 20. Let s = 0.06 + d. What is s rounded to two dps?
-0.03
Let n be (2 - 4/2) + 4. Suppose -d = -n*d. Suppose q = -d*q + 2200. What is q rounded to the nearest 1000?
2000
Let f be ((-610077)/(-2))/((-3)/12). Let z = 6620154 + f. What is z rounded to the nearest one million?
5000000
Let r(i) = i. Let a be r(-3). Let f be (a + 333)*200/3. Let q be (-7)/((-7)/(-250))*f. Round q to the nearest one million.
-6000000
Let d = 17 - 16.9997. Round d to four decimal places.
0.0003
Let h = 19.82562894 - 19.78963. Let l = h + -0.036. Round l to seven decimal places.
-0.0000011
Let f = 4759014 - 4759206.0181. Let m = f + 192. What is m rounded to 3 dps?
-0.018
Let b = 229752.9963 + -229833. Let f = b - -80. What is f rounded to three dps?
-0.004
Let a = 1765.58855026 + -1768.68855. Let u = a - -3.1. What is u rounded to 7 dps?
0.0000003
Suppose 3*b - 49985 = 2*i + 8*b, 124988 = -5*i - 4*b. Round i to the nearest 10000.
-30000
Let m = 8.6 + -14. What is m rounded to zero dps?
-5
Let g = 42.46 + -43. Let h = 0.04 + g. Round h to zero dps.
-1
Let a = -1.605 + 1.6. Let o = -0.0050053 - a. Round o to six decimal places.
-0.000005
Let q be (-4)/14 - 11080908/(-21). Suppose -s = q - 2827662. What is s rounded to the nearest 1000000?
2000000
Let d = -17404 + 12104. What is d rounded to the nearest one thousand?
-5000
Let p be (-96)/(1 + (-4508)/4500). Round p to the nearest 10000.
50000
Let l = -0.053 - -0.078. Round l to two dps.
0.03
Let t = -226 - -120. Let g = -106.0043 - t. What is g rounded to 3 decimal places?
-0.004
Let z = -1.9 - 7.1. Let x = z - -9.00000019. Round x to seven decimal places.
0.0000002
Let p = 4370.7 + -4068. Let v = 290 - p. What is v rounded to the nearest integer?
-13
Let d be -4 + 7 - -1*2. Suppose d*x - 3*x = -16. Round x to 0 decimal places.
-8
Let z = -1403.99999293 + 1404. What is z rounded to 7 dps?
0.0000071
Suppose -i - 5*h = 140846, 0*h = 2*i + 3*h + 281685. Let c = 323841 + i. Round c to the nearest ten thousand.
180000
Let g = 29.26 - 29. Let k = g - 1.88. Round k to 1 dp.
-1.6
Let h = -2047440.30600051 - -2047485.306. Let t = 1.7 - -43.3. Let k = t - h. Round k to seven dps.
0.0000005
Let v = 62.23 - 63. What is v rounded to one dp?
-0.8
Let s = -482.9348 - 0.0652. Let b = s - -483.08015. Let y = b + -0.08. Round y to four dps.
0.0002
Let c = 5664.035 + -5646. Let n = c + -18. Round n to 2 decimal places.
0.04
Suppose 2*x - 6 = -0. Suppose c + 10 = -q + x*c, -c = -3*q - 10. Let g be (-432)/((-1504)/750 - q). What is g rounded to the nearest ten thousand?
80000
Let k = 22.165926035 + -0.165921835. Let y = 22 - k. What is y rounded to six decimal places?
-0.000004
Let r be 2/(-4 - (-11279997)/2820000). What is r rounded to the nearest one hundred thousand?
-1900000
Suppose 0 = -z + 3 - 1. Suppose z*i - i - 208 = 0. Suppose -t = -5*t + i. Round t to the nearest ten.
50
Let r = -82 + 82.000296. What is r rounded to 5 decimal places?
0.0003
Let y(x) = -9999*x**2 - 13*x + 22. Let l be y(11). What is l rounded to the nearest 100000?
-1200000
Let h = 0.04 - 0.105. Round h to 2 decimal places.
-0.07
Let s = 0.066336 + 55.573064. Let l = s - 0.0394. Let n = l - 63. What is n rounded to the nearest integer?
-7
Let c = -0.1 + -0.08. Let x = c - 0.43. Round x to 1 dp.
-0.6
Let r = -28.92 + 26. Round r to 1 decimal place.
-2.9
Let o be 15750*9/((-27)/(-80)). Suppose -6*u - o = -u. Round u to the nearest 10000.
-80000
Let o = 16 - 15.78. Let b = o + 32.78. Let x = b - 32.9924. What is x rounded to three decimal places?
0.008
Let h = 2 + -2. Suppose -4*i + 0*g - 238 = g, h = -g + 2. Round i to the nearest one hundred.
-100
Let b = 1.8 - 1.46. Let o = 11.76 + b. Let n = 12.100049 - o. Round n to 5 dps.
0.00005
Suppose -a + 3*v = 2628 + 5378, -5*a - 4*v = 39992. Let p be a/(-3)*3*250. What is p rounded to the nearest 1000000?
2000000
Let j = -0.0806 - 4.0294. Let t = j + 4. Round t to one dp.
-0.1
Let q = 7 - 8. Let o = q + 0.999993. Round o to six dps.
-0.000007
Let f be 4/8*(-8)/2. Let a be f/2*-1 - 4. Let b(m) = -22000*m. Let r be b(a). Round r to the nearest 10000.
70000
Suppose -13*w + 18*w + 900 = 0. Round w to the nearest 100.
-200
Let i be (140/(-6))/(8/612). Suppose 0 = f - 4*f - 3*k - 24, 0 = 3*f - k + 4. Let j be i/(-7)*220/f. What is j rounded to the nearest one thousand?
-19000
Let n = -530925.1 - -530920.100002. Let s = n - -5. What is s rounded to 6 decimal places?
0.000002
Let l be (17556892/8)/((-1)/(-6)). Let q = l + -4367672. Suppose -r - q = 2*x, -r = 3*x - 2*r + 13200003. Round x to the nearest 1000000.
-4000000
Let g be 0 + 1/((-1)/(-2720000)). Suppose 0 = 6*f - 2*f + g. Round f to the nearest one hundred thousand.
-700000
Let z = -58824.2311 + 58910.2310898. Let l = 86.099 - 0.099. Let t = l - z. What is t rounded to 6 dps?
0.00001
Let r = 1.27 - 1.2753. What is r rounded to three dps?
-0.005
Let f = -0.3 + 0.29966. Round f to 4 dps.
-0.0003
Let v = 4308.372 - 4297.371993. Let h = v + -11. What is h rounded to 6 dps?
0.000007
Suppose -21323658 = 4*j + 200796986. Let g = 77752932 + j. Suppose -4*y = -v - 13099980, 3*v - y = -17077224 - g. What is v rounded to the nearest 1000000?
-13000000
Let t = 4802682.96499971 - 4802683. Let g = t - -0.035. Round g to seven dps.
-0.0000003
Let r be (225/1)/(2/(-23200)). What is r rounded to the nearest 1000000?
-3000000
Suppose -5*w + 83975 = -2*h, -5*h = -4*w + 255751 - 45771. Round h to the nearest ten thousand.
-40000
Suppose -14*i + 4*i = -1300000. What is i rounded to the nearest 100000?
100000
Let q = -3.26 - 0.34. Let n = -3.43008 + -0.17752. Let k = n - q. Round k to three dps.
-0.008
Let h = 3.500024 + -3.5. What is h rounded to 5 decimal places?
0.00002
Let w = 5 - 4.99957. Round w to four dps.
0.0004
Let g = 6497562 - 6497561.5600097. Let v = g - 0.44. What is v rounded to 6 decimal places?
-0.00001
Let x = 190.701 - -38.069. Let z = x + -230. Round z to 1 decimal place.
-1.2
Let u = 0.294 + -0.31. Round u to 2 dps.
-0.02
Let o = -442960.2000056 + 442961.9. Let q = o - 1.7. What is q rounded to 6 dps?
-0.000006
Let y(j) = j**2 - j - 4. Let u be y(3). Suppose -1786 + 32786 = u*w. What is w rounded to the nearest one thousand?
16000
Let h = -66 + 128. Round h to the nearest 10.
60
Let d = -0.0425 + 0.024. What is d rounded to 3 decimal places?
-0.019
Let z be 283664800/28 + 2/7. Let v = z - 2530886. Round v to the nearest 1000000.
8000000
Let s(h) = 6*h**3 + 3*h**2 - 5*h - 4. Let k be s(-4). Round k to the nearest 1000.
0
Let b = -8787 - -8734.39. Let p = b + 53. What is p rounded to one decimal place?
0.4
Suppose 0 = -2*v - 0*v + 4. Suppose u - 14 + v = 0. What is u rounded to the nearest ten?
10
Let t = -189 + 147. Let d = -5417477974 - -5417477931.99999967. Let a = t - d. Round a to seven dps.
0.0000003
Let k be (4 + 130)/((-2)/100). What is k rounded to the nearest one thousand?
-7000
Let l = 131.99884 - 132. Round l to 3 dps.
-0.001
Let l = -0.338 - -0.25. What is l rounded to two dps?
-0.09
Let l(m) = m**3. Let x be l(1). Let g be 75*(x + (-16791)/(-9)). Round g to the nearest one hundred thousand.
100000
Suppose -2*t - 18000006 = -2*l, -4*l + 2*l + 9000006 = -t. Round t to the nearest one million.
-9000000
Suppose 3*i + 77110 = 5*g, 2*g = 3*i + 7*g + 77090. Round i to the nearest 1000.
-26000
Let d = 16.4 + -11. Round d to the nearest integer.
5
Let x = -18 + -5. Let k = 22.5 + x. Ro | {
"pile_set_name": "DM Mathematics"
} |
o the nearest 1000000?
459000000
What is -0.000006491 rounded to 6 decimal places?
-0.000006
What is -67380 rounded to the nearest ten thousand?
-70000
What is 67907 rounded to the nearest one thousand?
68000
What is 0.00107818 rounded to 4 dps?
0.0011
Round 9125 to the nearest 100.
9100
Round -0.00030408 to 5 decimal places.
-0.0003
What is 990300 rounded to the nearest ten thousand?
990000
What is 0.00041478 rounded to four dps?
0.0004
Round -286050000 to the nearest one million.
-286000000
What is 34360 rounded to the nearest 10000?
30000
What is -0.0000084388 rounded to seven dps?
-0.0000084
What is 0.00182 rounded to 3 decimal places?
0.002
Round 5.2653 to 1 decimal place.
5.3
What is 64670000 rounded to the nearest 1000000?
65000000
Round 110100 to the nearest ten thousand.
110000
Round 0.0846 to three dps.
0.085
Round -0.000080985 to six dps.
-0.000081
What is 2465.9 rounded to the nearest one thousand?
2000
Round -0.00046428 to 4 decimal places.
-0.0005
What is -0.000017996 rounded to six dps?
-0.000018
What is -0.0004789 rounded to four decimal places?
-0.0005
Round 0.66517 to one dp.
0.7
Round -0.01943 to two decimal places.
-0.02
Round -17694.2 to the nearest one thousand.
-18000
Round 10767.5 to the nearest 10.
10770
Round -10.335 to the nearest integer.
-10
What is 17524.9 rounded to the nearest one hundred?
17500
What is -265000 rounded to the nearest 10000?
-270000
What is -275030 rounded to the nearest ten thousand?
-280000
What is 2.0031 rounded to two decimal places?
2
Round 0.00001072 to six dps.
0.000011
What is -2260 rounded to the nearest 10000?
0
What is -3152400 rounded to the nearest 1000000?
-3000000
Round 1463800 to the nearest 10000.
1460000
Round -0.006251 to three decimal places.
-0.006
What is -30270 rounded to the nearest 1000?
-30000
What is 195.399 rounded to the nearest ten?
200
What is 0.0016747 rounded to four dps?
0.0017
Round 473.46 to the nearest one hundred.
500
What is 0.00506 rounded to four dps?
0.0051
Round -0.0000113655 to 6 decimal places.
-0.000011
Round 299500 to the nearest ten thousand.
300000
Round 0.000026147 to 7 decimal places.
0.0000261
What is 458.76 rounded to the nearest integer?
459
Round -0.0374 to three dps.
-0.037
Round -3799.8 to the nearest one hundred.
-3800
What is -1339000 rounded to the nearest one hundred thousand?
-1300000
Round 0.0012928 to five decimal places.
0.00129
Round -0.00001084 to six dps.
-0.000011
Round 0.000016169 to 7 dps.
0.0000162
What is -0.2603 rounded to three dps?
-0.26
What is -746.3 rounded to the nearest one hundred?
-700
Round -2.2377 to one decimal place.
-2.2
What is -0.052157 rounded to 3 dps?
-0.052
Round -254.3 to the nearest ten.
-250
Round 13153 to the nearest 100.
13200
Round -1606300 to the nearest 1000000.
-2000000
Round -2780000 to the nearest 100000.
-2800000
Round -42.05 to the nearest 10.
-40
What is -11230.7 rounded to the nearest 10?
-11230
Round 1776170 to the nearest 10000.
1780000
What is -0.017274 rounded to three decimal places?
-0.017
What is 800200 rounded to the nearest one hundred thousand?
800000
What is 105742 rounded to the nearest 100000?
100000
What is 0.0301033 rounded to three dps?
0.03
What is 1626 rounded to the nearest one hundred?
1600
Round 0.00044364 to 4 dps.
0.0004
Round -650.09 to the nearest 100.
-700
Round -0.00035272 to five decimal places.
-0.00035
What is 0.0048656 rounded to 3 decimal places?
0.005
Round -14.44 to 0 decimal places.
-14
What is 0.026305 rounded to 4 decimal places?
0.0263
What is 1.66239 rounded to 2 dps?
1.66
What is -0.007084 rounded to 3 dps?
-0.007
What is -0.00062684 rounded to 4 dps?
-0.0006
Round -28070 to the nearest ten thousand.
-30000
What is 16.98 rounded to one dp?
17
What is 311.63 rounded to the nearest one hundred?
300
Round 0.000732 to 5 dps.
0.00073
What is 2880300 rounded to the nearest one hundred thousand?
2900000
Round -40.626 to the nearest ten.
-40
What is -12690 rounded to the nearest 1000?
-13000
What is 531000 rounded to the nearest ten thousand?
530000
Round 0.000003689 to 6 dps.
0.000004
What is -9.2666 rounded to 1 decimal place?
-9.3
Round 0.091816 to 2 decimal places.
0.09
Round 0.05767 to 3 decimal places.
0.058
Round -9096200 to the nearest one million.
-9000000
Round -2.1442 to 2 dps.
-2.14
Round -187200 to the nearest 10000.
-190000
What is 0.959 rounded to 0 decimal places?
1
What is 492.19 rounded to 0 dps?
492
Round 0.12271 to 2 dps.
0.12
What is 1.18928 rounded to 2 dps?
1.19
Round 2205500 to the nearest one hundred thousand.
2200000
Round -466700 to the nearest 10000.
-470000
Round -0.000156972 to six decimal places.
-0.000157
Round 0.000445 to 4 dps.
0.0004
Round 1.261 to the nearest integer.
1
What is 19940000 rounded to the nearest one million?
20000000
Round -5184900 to the nearest one hundred thousand.
-5200000
What is 0.0012517 rounded to 5 dps?
0.00125
Round 106.136 to the nearest integer.
106
What is 0.062603 rounded to two dps?
0.06
Round 310.19 to zero decimal places.
310
Round 548.87 to zero dps.
549
Round -66770000 to the nearest one million.
-67000000
What is -0.00000784 rounded to 6 dps?
-0.000008
Round -19.7 to the nearest 10.
-20
Round 0.0000048599 to 6 dps.
0.000005
Round 1.675 to zero decimal places.
2
Round 0.012308 to three decimal places.
0.012
Round -0.000005378 to seven dps.
-0.0000054
What is -4237 rounded to the nearest 100?
-4200
Round 182.69 to the nearest 100.
200
Round -1.2123 to one dp.
-1.2
Round 56.05 to 0 decimal places.
56
What is -0.00775 rounded to four decimal places?
-0.0078
Round 1.15148 to two decimal places.
1.15
Round 664.7 to the nearest 10.
660
What is 0.000002328 rounded to six decimal places?
0.000002
Round 6.968 to 0 dps.
7
What is 0.00000037297 rounded to seven dps?
0.0000004
Round 6844 to the nearest 100.
6800
What is 708.7 rounded to the nearest one hundred?
700
Round 32000 to the nearest one thousand.
32000
What is -0.011664 rounded to 4 decimal places?
-0.0117
What is -11270 rounded to the nearest 1000?
-11000
What is 0.0000006094 rounded to seven dps?
0.0000006
Round 2.06 to the nearest ten.
0
Round -0.0000009274 to 7 decimal places.
-0.0000009
What is -0.001035 rounded to five decimal places?
-0.00104
Round -546870000 to the nearest one million.
-547000000
What is -11783.9 rounded to the nearest 1000?
-12000
What is 0.74077 rounded to two dps?
0.74
What is 0.006978 rounded to two dps?
0.01
Round -0.00022788 to four dps.
-0.0002
Round -0.11083 to 2 dps.
-0.11
What is 39.98 rounded to zero dps?
40
What is -0.2089 rounded to one dp?
-0.2
What is -123.1 rounded to the nearest ten?
-120
What is 37190000 rounded to the nearest 1000000?
37000000
Round -6033 to the nearest 1000.
-6000
Round 57.8 to zero decimal places.
58
Round -2631.1 to the nearest 100.
-2600
Round -5.49 to 1 dp.
-5.5
What is -132850000 rounded to the nearest 1000000?
-133000000
Round 148.41 to the nearest 10.
150
What is 1798.9 rounded to the nearest 10?
1800
What is -156.9 rounded to the nearest integer?
-157
Round -0.0038643 to 3 decimal places.
-0.004
Round -31528000 to the nearest one million.
-32000000
Round -0.000028535 to seven dps.
-0.0000285
Round -6.4494 to 1 decimal place.
-6.4
Round 0.018631 to 3 dps.
0.019
Round -0.005888 to four dps.
-0.0059
What is -174.36 rounded to the nearest 10?
-170
Round -0.0044373 to 5 decimal places.
-0.00444
What is 0.00000137 rounded to six decimal places?
0.000001
What is 35.43 rounded to the nearest integer?
35
Round 17711000 to the nearest one million.
18000000
Round 99155000 to the nearest one million.
99000000
What is 8.322 rounded to 0 decimal places?
8
What is -0.35428 rounded to 2 dps?
-0.35
Round -0.0000080335 to six decimal places.
-0.000008
What is -116600 rounded to the nearest 10000?
-120000
What is 0.471576 rounded to 1 dp?
0.5
What is 2.087 rounded to one decimal place?
2.1
Round 0.0072387 to three decimal places.
0.007
What is 17760000 rounded to the nearest one million?
18000000
What is 0.00002795 rounded to 6 decimal places?
0.000028
What is -24949300 rounded to the nearest one hundred thousand?
-24900000
Round 0.01688 to 3 decimal places.
0.017
Round -28656.3 to the nearest 100.
-28700
What is 6440000 rounded to the nearest 100000?
6400000
What is 0.0004662 rounded to | {
"pile_set_name": "DM Mathematics"
} |
rivative of p**5/60 - p**4/12 + p**3/3 + p**2/2 - p. Let l(c) be the first derivative of t(c). Is l(7) composite?
False
Suppose 7961 - 1034 = 3*x. Is x prime?
True
Let d(p) = 2*p + 1171. Is d(0) prime?
True
Let y(t) = -6*t + 13. Let n be y(11). Is 5 - (3 - 0) - n composite?
True
Let r(t) = 418*t**2 - 2*t - 1. Suppose 4*w = -2*u - 0 + 2, -5*u + 2*w = 7. Is r(u) a prime number?
True
Let r = -1176 - -1867. Is r prime?
True
Let s = -1 + 3. Is s*(1492/8 - 0) composite?
False
Suppose 0 = -2*y - 0*y. Let o = -4 + 6. Suppose -18 = -o*c - 5*w, 3*w + 6 = -y*w. Is c a composite number?
True
Is (259/21)/((-2)/(-6)) a prime number?
True
Let b be ((-15)/9)/(1/3). Let c be (-16)/6 - b/(-15). Is 23/(c/45*-3) a prime number?
False
Is 39/(-2)*(-218)/3 prime?
False
Let s(a) = 95*a**2 + 10*a - 27. Is s(6) composite?
True
Let j(z) = z**3 - z + 115. Let h = -1 - -3. Suppose -h*l + l = 0. Is j(l) composite?
True
Let h(a) = -3*a**3 - 4*a**2 + a + 1. Let t be h(-3). Let o = t + -30. Is o composite?
False
Let u = -4 + 6. Suppose u*t + 2*f = f, 3*t = -4*f. Is 22*(-1 - (t + -2)) a prime number?
False
Suppose 4*y - 364 = -2*s, -s + 4*y = s - 396. Let h = s - 51. Is h composite?
False
Suppose 0 = 4*z - 32 + 8. Suppose 0 = -z*a + a + w + 16, 0 = a + 3*w. Is a composite?
False
Is (4 - 8)/(6/(-39)) a composite number?
True
Let y(p) = -35*p - 19. Is y(-14) a composite number?
True
Suppose -935 = -2*c - 3*i, -5*c - 2*i + 2351 = i. Let q = -329 + c. Is q prime?
False
Suppose 4*c - 135 = 5*x, 0 = x - 1. Is c + (-6)/9*-3 prime?
True
Let z = 1966 + -1335. Is z composite?
False
Is (226/(-4) - 3)*-2 a prime number?
False
Let p(j) = j**2 + 3*j + 1. Let z be p(-4). Suppose -h - 4*h = -5*s + 730, 0 = z*s - 4*h - 729. Is s a prime number?
False
Let r = 59 - -150. Is r composite?
True
Suppose -834 = 7*f - 13*f. Is f prime?
True
Let k(c) = -c**2 + 22*c - 9. Let f be k(10). Let g = 140 + f. Is g a composite number?
False
Suppose 441 + 1327 = 8*g. Is g prime?
False
Suppose -5*p = 58 + 112. Suppose 0*y = -2*y + 110. Let j = y + p. Is j composite?
True
Suppose 2*l + u = -378, 2*u - 772 = 4*l - 0*u. Let y = l - -395. Suppose y = 2*z + 34. Is z prime?
False
Suppose -w - 4*w + 4825 = 0. Is w a prime number?
False
Let f(y) = 7*y**2 + 2*y - 4. Is f(-3) a prime number?
True
Suppose l = 6*m - 3*m - 210, -4*m = -l - 279. Suppose 0 = 3*i - m + 27. Is i a prime number?
False
Let p = 53 - -9. Is p composite?
True
Suppose 19*n - 5826 = 13*n. Is n composite?
False
Let h(p) be the first derivative of -3*p**4/4 + p**3/3 + 7*p**2/2 + 6*p + 3. Is h(-5) prime?
False
Let x be (-6 - -6) + -5*2. Let t = 13 + x. Suppose -t*c + 105 = -0*c. Is c a composite number?
True
Suppose -10 - 1 = -p. Let t(i) = i**3 - 8*i**2 - 16*i + 16. Is t(p) a prime number?
False
Is ((-3586)/(-88))/(1/4) a composite number?
False
Let y(o) = -o**3 - 3*o**2 - 3*o - 3. Let c be 6/4*(-2)/3. Let k be (1/c - 3)/1. Is y(k) composite?
True
Suppose -2*l = 4*a + 732, -l - a - 3*a - 362 = 0. Suppose -5*o + 0*o = 795. Let j = o - l. Is j a composite number?
False
Let l = -3 - -5. Suppose 0 = 2*t + l*v - 43 + 5, -t + 7 = 4*v. Is t prime?
True
Let c(z) = z**3 + 11*z**2 - 7*z - 13. Let j be c(-11). Let s = j + -26. Is s prime?
False
Let g = 368 + -81. Is g a composite number?
True
Is ((-1323)/(-4) - 0) + 24/96 prime?
True
Let b(x) = 121*x**3 - x + 1. Is b(1) a composite number?
True
Let o = 3 + -3. Suppose 3*x - 15 = -o. Suppose -2*i = -x*i + 27. Is i a prime number?
False
Let g(k) be the first derivative of 9*k**2/2 + 5*k + 2. Let z be g(-6). Let a = z + 70. Is a composite?
True
Suppose 2*j - 3*j - 11 = 0. Let n(s) = s**3 + 12*s**2 + 6*s - 2. Is n(j) a prime number?
True
Suppose 30 = 2*g + 5*o, 4*o - 10 = 2*g - 4. Suppose -9 = -3*j + 3*n, -7 - g = -4*j + 2*n. Suppose -f + 99 = -4*z, -j*z = 4*f - 2*z - 379. Is f composite?
True
Let o be 1 - -3 - (0 + 1). Suppose -45 - 120 = -o*y. Is y a composite number?
True
Suppose 33 = 3*p - 390. Is p prime?
False
Let m(o) = o**2 + 10*o + 8. Let s be m(-6). Let c be (2 + -2)*-1 + -10. Let u = c - s. Is u a prime number?
False
Suppose -2*k = 2*m + 3*m - 875, k - 524 = -3*m. Let g = m - 114. Suppose 2*c = 3*f - 117, 3*c - 80 = -4*f + g. Is f composite?
False
Let q = 8 - 12. Is (-1124)/(-12) - q/(-6) composite?
True
Let o(n) = -n**3 - 8*n**2 - 9*n - 5. Let t be o(-7). Is (7/2)/(t/126) a composite number?
True
Suppose 597 + 544 = k. Suppose 4*u - k = -249. Is u prime?
True
Is -4*(-2 - (-3267)/(-12)) prime?
True
Let c(w) = -5*w**3 + 6*w + 3. Let r be c(-4). Suppose -5*t - u = -388, -2*t - 2*t + 3*u = -r. Is t composite?
True
Is 487*(-3)/12*-4 prime?
True
Let p(t) = 4*t**2 - 9*t + 13. Is p(6) a prime number?
True
Let k(r) = 57*r**3 + 3*r**2 - 6*r + 7. Is k(3) composite?
True
Let s = -195 + 481. Suppose 3*w + 2*p = 5*w - 196, 0 = -3*w - 5*p + s. Is w composite?
False
Suppose 3*d + 85 = 25. Let o be (16/10)/(4/d). Let z = 18 + o. Is z composite?
True
Let d(f) be the second derivative of -f**5/20 + 3*f**4/4 + 7*f**3/6 - 17*f**2/2 - f. Is d(8) composite?
False
Let n(c) = 5*c**3 + 2*c**2 - 1. Let w(x) = x**2 - 4*x - 3. Let v be w(5). Let o be n(v). Let g = 116 - o. Is g prime?
False
Let v(a) = a + 50. Let w(o) = o**3 - 4*o**2. Let f be w(4). Let i be v(f). Let y = 3 + i. Is y a composite number?
False
Let y(x) = -x**2 + 31*x + 11. Is y(16) a prime number?
True
Let o = 4 + -2. Let f(h) = 6*h**o + 0*h - 5*h - 2*h + 0*h. Is f(-5) composite?
True
Suppose 0 = u + 38 - 151. Suppose 3*a = 109 + u. Suppose -5*m + 430 = 5*h, h = -m + 4*h + a. Is m a prime number?
True
Is 0 + 1570*2/4 prime?
False
Suppose j + 0*j = -1517. Let l = -882 - j. Is l prime?
False
Suppose -5*g + 1912 = 447. Is g a prime number?
True
Suppose 0 = h + 2*m - 280 - 57, 1 = m. Suppose h = j + 4*j. Is j prime?
True
Suppose 8*s - 1457 - 4631 = 0. Is s a prime number?
True
Suppose -z + 2159 = u, u + 2*z + 1261 = 3418. Is u a prime number?
True
Is (-7819)/(-35) + (-4)/10 prime?
True
Suppose 0 = k + 3 - 61. Is k a composite number?
True
Let l(z) = 6*z - 5. Let g(w) = -w + 1. Suppose 3*x - 2*c = -8 + 1, c - 21 = 5*x. Let j be g(x). Is l(j) a prime number?
True
Let j(y) be the second derivative of 3*y**4/4 + y**3/6 + y**2/2 + y. Let l be (4/(-2) + 1)*1. Is j(l) composite?
True
Let a = 186 - 318. Let c = a - -185. Is c prime?
True
Let g(k) = -13*k + 2 + 3*k**2 + 3*k**2 + 9*k - k**2. Is g(3) a prime number?
False
Let p(r) = r**3 - 2*r**2 + 2. Let t be p(2). Suppose t*q - 463 - 67 = 0. Is q prime?
False
Let h = 43 + 12. Let v = 24 + h. Let n = v + -46. Is n prime?
False
Suppose 4*x - s = s + 352, 0 = 5*x + s - 426. Suppose w = 3*w - x. Is w a prime number?
True
Let d = -888 + 1997. Is d prime?
True
Let y = -34 + 72. Let b = y - 3. Is b composite?
True
Let t(h) = h**2 - 9*h - 9. Is t(13) prime?
True
Let o(t) = -2*t**3 - 3*t**2 + 2. Let m be o(-2). Let y be -2 + 2 - m/(-3). Is y/7 + (-795)/(-35) a prime number?
True
Let n(b) = -b + 10. Let p be n(8). Let a(t) = 3*t**2 + 5*t - p*t + 5 - 2*t**2. Is a(-6) a prime number?
True
Is 2/5 + (-4734)/(-90) prime?
True
Let b be (1*-1)/1 + -369. Let i = 2 - -8. Is (i/(-25))/(2/b) composite?
True
Let z be (-7)/(14/20)*-1. Let c = z + 37. Is c composite?
False
Let k = -129 + 292. Is k composite?
False
Let g(b) = b**3 + 14*b**2 + 20*b - 4. Is g(-11) a prime number?
True
Suppose -l - 12 = -3*l + 2*c, 0 = 5*l + 5*c - 50. Let u(p) = -p**3 + 9*p**2 - 8*p - 5. Let o be u(l). Let w = 1 - o. Is w a composite number?
True
Let o(v) = v**3 + 6*v**2 - 3*v - 2. Let n be o(-6). Suppose 0 = -3*t - 9, 5*a = 2*t - 27 + 338. Let z = a + n. Is z composite?
True
Let v(y) = 21*y**2 - 4*y + 4. Is v(5) a composite number?
False
Suppose -4*n = -l - 13640, -5*n + 10207 = -2*n + 5*l. Is n a composite number?
True
Suppose -46 = 5*d - 2*a, a + 31 - 2 = -4*d. Let l be 3/(-12) + (-178)/d. Suppose -22 = -2*o + 4*q, 0 = 2*o - 0*q + 3*q - l. Is o prime?
True
Suppose 0*q = -2*q + 564. Let b = q + -104. Suppose -2*l - b = -4*l. Is l composite?
False
Let s be (-1)/(1*1/(-11)). Let r be (38/5)/(2/10). Let o = r + s. Is o a composite number?
True
Let b(g) = g**3 + 0*g**3 - 5 + 0*g + 4*g**2 - 5*g - 2*g**3. Let s be b(6). Let v = s - -292. Is v a prime number?
False
Suppose -5*h = -h - 536. Let t = -64 + h. Suppose 0 = -3*l + 7*l + 2*v - 80, 4*l - 3*v = t. Is l composite?
False | {
"pile_set_name": "DM Mathematics"
} |
s = 0.2 + -1.2. Let m = s - -4. Let t = -1 + 1. Which is the closest to 1? (a) -5 (b) t (c) m
b
Let n = 18.89 - 19. Let w = 3.89 - n. Let p be 2 - 1 - 4/(-1). Which is the closest to -2/3? (a) w (b) p (c) -3/5
c
Let j = -36 - -36. What is the closest to -0.17 in -1/6, j, 5?
-1/6
Let b = 90 + -47. Let x = b - 29. Let p = x - 9. What is the nearest to 4 in p, -1/2, -2?
p
Let p = 3 + -2.9. What is the nearest to 2 in 5, p, 0.5?
0.5
Let g = 33 + -30. Which is the closest to 1? (a) -3 (b) g (c) 0.5
c
Suppose 0*i = -2*i. Let g = -0.27 - 0.03. Let z = 2 + 2. Which is the closest to i? (a) g (b) -1/6 (c) z
b
Let s be 2/10 + 273/(-15). Let h be (6/28)/(s/(-24)). Which is the nearest to h? (a) 4 (b) 2 (c) -1/7
c
Let g = 13 - 13.5. What is the nearest to -0.3 in g, 2/9, 5?
g
Let s = 4.15 - 0.15. Let k be (0 - 1)*(-2)/18. What is the nearest to 1/2 in 2, s, k?
k
Let x = -4 - -3. Let g = -0.09 + -0.01. Which is the nearest to x? (a) 0.3 (b) 1/5 (c) g
c
Suppose 4*j - 4*h = 16, 6*j - 5 = j + 2*h. Let u = 1.4 - 0.4. Which is the closest to j? (a) 1/3 (b) -7 (c) u
a
Let p be (3/(-12) + 0)/((-21)/12). What is the closest to -1 in -8, 5/4, p?
p
Let r = -34 - -18. Let j = r - -16. Let l = -2 + 2.5. Which is the nearest to j? (a) 1/5 (b) 0 (c) l
b
Let q = 4.2 - 0.2. Let p = 100 - 107.3. Let d = 7 + p. Which is the closest to -1? (a) 2/3 (b) d (c) q
b
Let r = 0.278 + 4.612. Let m = 0.11 + r. Let f = 524/9 - 58. Which is the nearest to 0.1? (a) f (b) -1 (c) m
a
Let u = -25 - -28. Let w = 21 - 101/5. Which is the closest to 0? (a) w (b) 4 (c) u
a
Let n = 19 + -16. Which is the closest to 0.3? (a) -1/8 (b) -3 (c) n
a
Let p = -2 - -1. Let q = -3 + p. Let f = -3 - -4. What is the nearest to 0 in f, -6/7, q?
-6/7
Let s = -33 - -30. Which is the closest to 1? (a) -3/5 (b) -5 (c) s
a
Suppose 0 = -q + 8 + 2. Suppose -3*d + 5*d = -q. Suppose 3*k - 2*k - 17 = 5*u, 2*u + 3*k = 0. Which is the closest to 2/5? (a) d (b) -2 (c) u
b
Let u = -101/3 + 34. Let y be (-138)/(-33) - 2/11. Let p be 24/20*(-2)/4. What is the closest to u in -4, p, y?
p
Let q = 27/7 + -29/7. Let a = -0.1 - 0.2. What is the closest to q in a, 0.1, -5?
a
Let g = 118 - 113.3. Let a = g - 5. Suppose 3*p + 6 = -m + 22, 5*m = -3*p + 32. What is the nearest to 0.1 in -2/5, p, a?
a
Let g(h) = h - 2. Let r be g(7). Let u be ((-80)/(-30))/(2/(-3)). Which is the closest to -6? (a) u (b) 2/3 (c) r
a
Let k = 9.7 + -10. Which is the nearest to -1/4? (a) 3 (b) -4 (c) k
c
Let m = -0.6 + 0.1. Let v = 22 + -17. What is the nearest to -1 in v, m, 2?
m
Let y = 74 - 79. What is the nearest to 0 in 2, 0.1, y?
0.1
Let r be (40/(-15))/((-8)/12). Which is the nearest to -1/2? (a) -2/11 (b) -2 (c) r
a
Let n = 7.1 + -7. Let o = n + -0.6. Which is the closest to 0.1? (a) 0 (b) o (c) -0.1
a
Let s = -13 - -141/11. What is the nearest to -1/2 in -1/7, s, -0.5?
-0.5
Let m(v) = 2*v + 8. Let s be m(-6). Let l be (-25)/(-30)*s/(-5). What is the nearest to l in -0.2, -0.4, 5?
-0.2
Let n = -5.8 + 6. Which is the nearest to n? (a) 0 (b) 2 (c) 3
a
Let f(d) = 4 + 5*d**2 - 2*d**2 - 4*d**2 - 5*d. Let c be f(-6). Suppose -3*i - 3 = -3*x - 6*i, 1 = 5*x + 4*i. What is the closest to -2/5 in x, c, -5?
c
Let w = 15 + -29/2. Let o = 6 - 5.97. Let k = o + -0.03. What is the closest to w in k, 4, 1/3?
1/3
Let j = -4 + 3. Let i = 13/8 + -179/120. Which is the closest to -0.1? (a) 3 (b) j (c) i
c
Let t = -1 - 0.3. Let n = 2.2 + t. Which is the nearest to -0.1? (a) n (b) -2 (c) -0.5
c
Let g(z) = 16*z**2 - z. Let j be g(1). Let k be -2*j/12 + 2. Let w = -9 - -5. Which is the nearest to 1? (a) k (b) -2 (c) w
a
Let g = 7.14 + -0.14. Let s = 11 - g. Let r = s - 4.3. What is the nearest to 0.1 in -4, r, -2/3?
r
Let k = -3/37 - -101/333. Which is the closest to 2/7? (a) -1/4 (b) k (c) 0.3
c
Let s = 3.3 - 4. Let j = s - -1. Let h = 14 - 14.1. Which is the closest to h? (a) 2/13 (b) -0.3 (c) j
b
Let v = -5 - -16/3. Let i = -6/11 + 41/55. Which is the closest to v? (a) 2 (b) i (c) 0.4
c
Let z = 0.31 - 0.01. Let o = -0.2 - -0.1. Which is the nearest to o? (a) -3/5 (b) z (c) 4
b
Suppose 2*c = 8*c + 6. Let x = 0 + 2. What is the nearest to -1 in x, -5, c?
c
Let x = 4 + 7. Let o be 4 + -1 - x/3. What is the closest to 2/7 in o, 2/7, -1?
2/7
Let l = 0 + -1. Let w = -5.08 - -0.08. Let q = w + 4.9. Which is the nearest to q? (a) 5 (b) l (c) 3
b
Let h = -30.7 - -31. What is the nearest to -0.1 in 0.4, 0.5, h?
h
Let n be (1/2)/((-7)/42). Which is the closest to 0.1? (a) n (b) 0.3 (c) -1/3
b
Let z = -43 - -39.2. Let m = 1.2 - z. Let j = -6 + m. Which is the nearest to j? (a) -4 (b) 3 (c) 0.2
c
Let v = -15.91 + 0.91. What is the closest to 0 in 0.5, v, 2?
0.5
Suppose -4*w + 31 = -3*y, 0*w + 2*w - 5*y - 33 = 0. What is the closest to 2 in w, 1/3, -5?
1/3
Let k(s) = 4*s + 3. Let h be k(-2). Let p = -4 - h. What is the nearest to 1/3 in p, -2/5, 2?
p
Let f = -24 + 23.9. Which is the closest to -1/3? (a) f (b) -5 (c) 2/17
a
Let d = -9.6 - -8. Let v = 1.7 + d. What is the closest to v in -0.1, 5, -4?
-0.1
Let u = -4 - -7. Let n = 2125/7 - 303. What is the nearest to 1/3 in n, 3/5, u?
n
Let u = 1.5 - 1.4. Let k = 0.3 + -0.1. Let s = -0.8 - k. Which is the closest to 0? (a) s (b) 0.5 (c) u
c
Let n = 64/3 + -21. Let t = 50 + -51. What is the closest to t in 0.5, n, 0.2?
0.2
Suppose 0 = z + 4*z. Suppose z = d - 4*q + 24, 4*d + q + 1 = -10. Let s = -5 + 4. Which is the closest to s? (a) -1 (b) 1 (c) d
a
Let h = 17 - 17. What is the closest to h in -0.5, -0.05, -5/4?
-0.05
Let s be 10/2 - 34/6. Which is the closest to s? (a) 1/4 (b) 11 (c) 1
a
Let y be 3/20*8655/198. Let i = y - 51/8. What is the nearest to -2/3 in i, -0.2, 2/5?
-0.2
Let r = 1.1 - 0.8. Let p be 1/(-2) - (-3)/2. Suppose -3 + p = s. What is the closest to -2 in 0.2, s, r?
s
Suppose u + 7 = -3*g + 29, 4*g = 2*u + 36. Let h(n) = n**2 + n - 7. Let j be h(0). Let m be 14/g*(-3)/j. Which is the closest to 1? (a) -5 (b) m (c) 3
b
Let d = -1/84 - 5/21. What is the closest to -2 in 0, d, -2?
-2
Let f = 0.002 + -3.002. What is the closest to 1 in 2, f, -3/13?
2
Let f = -51 + 355/7. Let c = 17 - 12.5. Let j = c + -0.5. What is the nearest to -0.1 in f, j, 2/13?
f
Let t = 0.3 + 0.7. Let o(k) = -k + 8. Suppose -m = -4*h - 8, 3*h = m + 8*h + 1. Let f be o(m). Which is the nearest to t? (a) 2 (b) f (c) 5
a
Let i(s) = s**2 + 4*s - 9. Let z be i(-5). Which is the closest to -4? (a) 1 (b) z (c) 0
b
Let s = 6/59 + -107/472. Which is the nearest to 1.8? (a) -0.5 (b) s (c) -2
b
Suppose -p - 4 = -3*p. Let h = -1 + p. Let f = 17.8 + -18. Which is the closest to f? (a) h (b) -5 (c) 2
a
Let m be -3*2 + 2 + 1. Let c be 4*(-1 + 0/(-2)). Let a = 102 + -920/9. What is the nearest to 0.1 in a, c, m?
a
Let b be (12/42)/((-3)/(-42)*-6). What is the closest to b in -1/2, 2/55, 1/3?
-1/2
Let p be (-2)/(1 - 17)*-6. Let j = 4.92 + -4.72. What is the closest to 0.2 in j, -5, p?
j
Let y = -2/23 + -32/161. Let t = 0.7 - 0.3. Which is the closest to y? (a) -5 (b) t (c) 0.3
c
Suppose -2*m + n = 2, -5*n + 16 = -3*m - m. Which is the closest to 0.1? (a) -4 (b) 0 (c) m
b
Let g = 72 + -72.4. Which is the closest to -4/7? (a) 5 (b) 4 (c) g
c
Let c = -7.9 - 0.1. Let k = c - -12. What is the closest to 1 in -0.3, -0.4, k?
-0.3
Let t = 2.2 - 2. Let v = -0.3 + t. Let o = 0 - v. Which is the nearest to -0.1? (a) o (b) -2 (c) 3
a
Let m = 10 + -12. Let w = -13 - -15. Which is the nearest to w? (a) -0.3 (b) 1/4 (c) m
b
Let r be ((-6)/(-25))/((-14)/(-35)). Which is the closest to 2/5? (a) 1/3 (b) r (c) -3
a
Let v = 17.9 - 16.9. Let s = 0.9 - 1. Which is the closest to s? (a) v (b) 0.4 (c) -0.1
c
Let y = -0.1 - 0.1. Let x = 1.2 + y. Let o = 0 - x. Which is the closest to o? (a) 1/12 (b) -3/4 (c) 0
b
Let b = 22 + -19.9. Let i = -2 + b. What is the closest to i in -2, 1/6, -4?
1/6
Let q = 45/7 + -43/7. Let s = 11937 + -5502955/461. Let f = s - 932/2305. What is the closest to q in -5, f, 3/4?
3/4
Let w = -26/3 - -9. Suppose -3*m + 28 = 2*g - 7*g, -2*m = 5*g + 23. Let n = m - 5. Which is the nearest to 1? (a) w (b) n (c) 1/7
a
Let k = 0.05 - 0.55. Let s = 10 - 10. Which is the closest to s? (a) k (b) -0.3 (c) -1/3
b
Let x = 0.038 - 1. | {
"pile_set_name": "DM Mathematics"
} |
s divided by (-18)/h - 3/(-15).
0
Let m(a) = -9 + a - 3*a**2 + 2*a**2 + 5*a + 2. Let t be m(6). Let z = t - -8. Calculate the remainder when z is divided by 1.
0
Suppose 2*a - 8 = -2, -5*g + 2*a + 119 = 0. Suppose -6*c + g = -c. What is the remainder when c is divided by (2/(-3))/((-4)/18)?
2
Let r(z) be the second derivative of -z**3/6 - 3*z. Calculate the remainder when 2 is divided by r(-1).
0
What is the remainder when 128 is divided by 5/(-15) + (-79)/(-3)?
24
Let f = 43 + -26. Suppose 4*y + 56 = 8. Let m = -3 - y. What is the remainder when f is divided by m?
8
Suppose -a = -11 - 20. What is the remainder when a is divided by 11?
9
Suppose 0 = -4*u + u + 12. What is the remainder when 11 is divided by (-225)/(-36) - 1/u?
5
Let h(b) = -b + 18. Let n be -7*3/3 - 2. Let w = 0 - n. Calculate the remainder when 26 is divided by h(w).
8
Suppose 2*y - 39 = -4*n + 31, 0 = 5*n + 3*y - 90. Calculate the remainder when 58 is divided by n.
13
Let h = 238 + -228. Let p(l) = l**2 - 3*l - 2. Calculate the remainder when p(-4) is divided by h.
6
Suppose -8*q + 4*q + 72 = 0. Calculate the remainder when 70 is divided by q.
16
Suppose 9*u - 5*z - 36 = 7*u, 2*u - z - 20 = 0. What is the remainder when (-6)/21 - (-424)/14 is divided by u?
6
Let x be (-40)/30*(-3)/(-2). Let t = x + 6. What is the remainder when t is divided by 3?
1
Suppose 9*l - 14*l + 75 = 0. What is the remainder when 29 is divided by l?
14
Let k(s) = -s**2 + 13*s + 2. Let z be k(7). Suppose 12 = -4*i + z. Calculate the remainder when 30 is divided by i.
6
Suppose -58 = -3*s - 2*c, -5*c = -s - 3*s + 108. Let a(d) = 3*d**2 - 10*d + 9. What is the remainder when a(7) is divided by s?
20
Let v = -124 + 170. Calculate the remainder when v is divided by 13.
7
Suppose 4*u = 3*c - 14, -u = -2*c + 3*c - 14. Let j(p) = p**3 - 11*p**2 + 10*p + 6. What is the remainder when j(c) is divided by 3?
0
Suppose -2*i + 6*q - 18 = 2*q, 25 = -3*i + 4*q. Let x(g) = -2*g + 9. Calculate the remainder when x(i) is divided by 6.
5
Suppose -2*p + 72 = p. Calculate the remainder when (3/2)/(2/p) is divided by 5.
3
Let d = -13 - -33. What is the remainder when 76 is divided by d?
16
Suppose 5*s = z - 0*s - 16, 4*z + 3*s + 5 = 0. Suppose 57 - z = 4*g. Calculate the remainder when (50/(-15))/((-1)/12) is divided by g.
12
Suppose -38 = -y + 31. Calculate the remainder when y is divided by (-33)/55 - (-93)/5.
15
Let l = 246 - 172. What is the remainder when l is divided by 11?
8
Suppose 5*f = 5*h + 480, -5*f = -h - h - 483. What is the remainder when f is divided by 10?
7
Let w be (-18)/4*24/(-18). Let n be 4/w - 13/(-3). Suppose n*b - 21 = 69. Calculate the remainder when 35 is divided by b.
17
Suppose 0 = -3*p - 5*z + 90, -4 - 58 = -2*p - 4*z. Let j(x) = 5*x - 8. Calculate the remainder when p is divided by j(3).
4
Suppose -5*a + 260 = g + 111, -20 = -4*a. Calculate the remainder when g/16 + (-3)/4 is divided by 3.
1
Suppose 4*b + 206 = 2*g, 3*b - 4*g + 142 = -0*b. Let m = 84 + b. Suppose -3*c = -r + m, 0*r - 3*c + 12 = r. Calculate the remainder when 61 is divided by r.
19
Suppose 2*d + 54 = -5*l, -2*l - 5*d - 18 = -3*d. Let o = l + 20. Calculate the remainder when 21 is divided by o.
5
Let f = 3 + 0. Suppose -f*p = -5*y - 7 + 126, -4*y - 3*p = -106. What is the remainder when y is divided by 6/15 - (-43)/5?
7
What is the remainder when 15 is divided by 5/(-3)*90/(-75)?
1
Let z(n) = -n - 11. Let d be z(-8). Let l = d - -18. Calculate the remainder when 28 is divided by l.
13
Let r(p) = 11*p**2 - 2*p + 1. Calculate the remainder when 39 is divided by r(1).
9
Let g(b) = 16*b - 4. Suppose -6*i + 15 = -i. Calculate the remainder when g(i) is divided by 15.
14
Let p(o) = -o**3 - 3*o**2 + 1. Suppose 0 = -5*l, -268 = -2*v - 2*v - 5*l. What is the remainder when v is divided by p(-4)?
16
Let q(f) = 4*f + 4 - 5 - 1 - 4. Calculate the remainder when 63 is divided by q(7).
19
Let k = 30 - 17. Let s = k + -6. Calculate the remainder when 13 is divided by s.
6
Suppose -446 + 26 = -3*o. Let k = o - 96. What is the remainder when k is divided by 23?
21
Suppose r + 89 = -2*r - 2*s, 0 = 4*r - 4*s + 132. Let w = 56 + r. Calculate the remainder when w is divided by (-1*1)/((-2)/26).
12
Suppose c - 4*c - 4*x + 26 = 0, 3*c = -5*x + 31. Suppose 0 = c*m - 8, 4*n = 7*n + 4*m - 61. What is the remainder when n is divided by 8?
7
Suppose 0 = -3*j + q + 251, -3*j - 5*q + 341 = j. Calculate the remainder when j is divided by 29.
26
Let m = 7 - -8. Calculate the remainder when m is divided by (-12)/(2*6/(-8)).
7
Suppose -4*r - 5 + 21 = 0. Suppose -5*i + 26 = -r. Calculate the remainder when 17 is divided by i.
5
Let k(u) = u + 3. Let t be k(3). Let b be 66/(-14) - t/21. Let n = 14 + b. What is the remainder when 26 is divided by n?
8
Let v = -122 - -200. Calculate the remainder when v is divided by 27.
24
Let o(u) = -u**3 + 6*u**2 + 8*u + 5. Let k be o(7). Suppose -3*q = -6*q + k. What is the remainder when 13 is divided by q?
1
Suppose 0 = l + 41 - 118. Calculate the remainder when l is divided by 40.
37
Let m(p) = -p**3 + 8*p**2 - 5*p - 9. Let i = -9 - -16. Let r be m(i). Suppose -14 = 5*w + 11, c + r*w + 22 = 0. What is the remainder when c is divided by 2?
1
Let y be ((-3)/(-9))/((-3)/(-18)). Let o = 7 + -4. Suppose o*a - 3*t - 26 = y*t, -t = 5*a - 6. Calculate the remainder when 5 is divided by a.
1
Suppose -4*y - 117 + 14 = 5*g, 0 = 3*y + 2*g + 72. Let l = 45 + y. What is the remainder when l is divided by 8?
7
Let x(v) = 12*v - 101. Calculate the remainder when 150 is divided by x(10).
17
Suppose 0 = -37*v + 41*v - 76. What is the remainder when 75 is divided by v?
18
Suppose 0 = -0*n - n. Let o = 5 + n. What is the remainder when 14 is divided by o?
4
Let h be 0 + 2 + (-1 - 4). Suppose 3*n - 20 - 13 = 0. Let d = h + n. What is the remainder when 15 is divided by d?
7
Let m(b) = 2*b - 5. Let a be m(4). Let o = -22 - -22. Suppose o = 4*r - a*r - 21. What is the remainder when r is divided by 11?
10
What is the remainder when (-2)/((-4)/22) + 2 + -4 is divided by 5?
4
Let n = -232 - -342. What is the remainder when n is divided by 7?
5
Suppose 4 + 2 = g + 5*b, 4*b = 4*g - 48. Let y = g - 6. Let h = 22 - 19. Calculate the remainder when y is divided by h.
2
What is the remainder when 4 is divided by (-3)/(-9)*(4 - 1)?
0
Let j(y) = -y + 10. Calculate the remainder when -1*1 - (3 - (12 + -3)) is divided by j(7).
2
Suppose -5 = -2*h + 2*f - 5*f, 0 = h - 5*f + 4. What is the remainder when (-4)/(-3)*(h - -8) is divided by 7?
5
Let b be ((-9)/(-4))/((-2)/(-56)). Suppose i + b = d + 2*i, -3*d = -i - 185. What is the remainder when d is divided by 21?
20
Let l be (-1)/(2*(-2)/12). Suppose -v = -s + 35, -s - l*v + 35 = -2*v. Suppose s = -0*t + t. What is the remainder when t is divided by 18?
17
Suppose 2*w - 6*w + 80 = 0. What is the remainder when 37 is divided by w?
17
Let v(a) = 16*a**3 + a**2 + a. Let n be v(-1). Suppose -w - 2*w + 33 = 0. What is the remainder when ((-21)/4)/(4/n) is divided by w?
10
Let l(k) = k**2 - 5*k - 2. Let u be l(-4). Let y = u + -20. What is the remainder when 53 is divided by y?
11
Let m(r) = r**2 + 3*r. Let k be m(3). Let j be ((-4)/3)/((-1)/6). Let b = j + k. Calculate the remainder when b is divided by 9.
8
What is the remainder when (-6)/((-72)/(-140))*-3 is divided by 13?
9
Let y(u) = u**3 - 9*u**2 + 10*u - 6. Let q be y(8). Calculate the remainder when (-2 + 5)/(3/q) is divided by 20/3 - 6/9.
4
Suppose -8 = -19*o + 15*o. Let j(c) = 2*c - 6. Calculate the remainder when j(4) is divided by o.
0
Suppose -4*x - x = -25. Suppose -4*w - 22 = -m, -x = 3*w - 2*w. Suppose 0 = -3*n + m*n + 14. Calculate the remainder when n is divided by 5.
4
Suppose 0 = 4*q - 31 - 45. Let g be 7/4 + (-8)/(-32). What is the remainder when q is divided by 0 - -6 - (-3 + g)?
5
Let z(k) = -26*k - 1. Calculate the remainder when 99 is divided by z(-1).
24
Suppose 3 = 2*k - 5. Suppose -k*a + 4*y + 200 = 0, -a - 2*a + 140 = -5*y. What is the remainder when a is divided by 19?
17
Let i = -9 - -11. Calculate the remainder when 38 is divided by (10/(-8))/(i/(-32)).
18
Suppose -5*p = -j + 1 - 12, -3*p - 15 = -3*j. Suppose m - 2*m + 3*b - 69 = 0, 3*b + 159 = -3*m. Let h = 81 + m. Calculate the remainder when h is divided by j.
6
Suppose -5*c - | {
"pile_set_name": "DM Mathematics"
} |
))/v*v)**(-14)*(v/((v*v**11)/v)*v)**33 assuming v is positive.
v**151
Simplify (((((h*h**(1/5))/h)/h)**(-3/25)*h**(2/7)/h**8)**(-28))**(5/3) assuming h is positive.
h**(8888/25)
Simplify ((r*(r*r**(-4)/r*r)/r*r)**10*(r*r**(2/29))/(r*r**(-2/9)*r))**(-8) assuming r is positive.
r**(43240/261)
Simplify ((((u/u**(-2/21))/(u/(u/u**(-2/29))))/((u**(-7)/u)/(u*u/u**5*u)))**(2/49))**(31/4) assuming u is positive.
u**(135253/59682)
Simplify (((n/(n*n*n/n**(-9)))/(n/n**36))**(-6/19))**(-19) assuming n is positive.
n**144
Simplify ((f*f/(f*f/f**(-42)*f)*f)**(-12)*(f/(f/(f*f*f**12))*f*f)/f**(-1/41))**(20/3) assuming f is positive.
f**(142140/41)
Simplify ((o**34/o)**33*o**(-16)*o/o**(3/11)*o)**(20/9) assuming o is positive.
o**(236440/99)
Simplify (w**20*w**(3/19)*w*w**(-25)*w*w**(-16/3))**11 assuming w is positive.
w**(-5126/57)
Simplify (i**0/i)**(-44)/((i**(-3)/i)/(i*(i*i**4*i)/i))*(i**(4/3)/(i*i**(-11)))**(1/4) assuming i is positive.
i**(341/6)
Simplify (t**(-1/8)/t**(1/2))**33*(t*t**(-1)*t*(t**(-3)*t)/t)**8 assuming t is positive.
t**(-293/8)
Simplify (((l/((l*l**(-3/13))/l))**(1/40))**(2/35))**(-27) assuming l is positive.
l**(-108/2275)
Simplify (((p**(-1/5)*p*p**(-2/27))**(-25))**(-1/14))**(-25/4) assuming p is positive.
p**(-875/108)
Simplify ((p**0)**(-10)/(((p/(p*(p/(p**(-3)*p))/p*p*p*p))/p)/p**(-1/4)))/(((p**(-2)/p)/p)**(-2/79)/(((p*p**(-2))/p)/p)**(-28)) assuming p is positive.
p**(28329/316)
Simplify ((q**(-2)/(q/(((q**(1/2)*q)/q*q)/q)))/(q*q*q**0/q*q**(-1)))**(-3/2) assuming q is positive.
q**(15/4)
Simplify ((n**(-1/3))**(-38))**(-39)*(n**0*n)**(-2/83)/(n**(3/2)*n*n**(-7)) assuming n is positive.
n**(-81261/166)
Simplify ((f*f**(2/3))**(-3/49))**(-7)*(f*f**(-2/3))**(-1)*((f/(f**(-2/5)*f))/f*f*f*f)**(2/21) assuming f is positive.
f**(64/105)
Simplify v**11*v**(-36)*(v*v*v**(-8/5))/v*v/(v**(-13)*v)*v assuming v is positive.
v**(-58/5)
Simplify ((j/(j**(-13)*j)*j)/(j*j*j**(-2/5)))**4/((j**(2/7))**(-9)*(j/j**8)/j**5) assuming j is positive.
j**(2246/35)
Simplify (u**(2/13)*(u**5*u)/u*u*(u**(2/27)*u)/u**(-2/25))**(1/39) assuming u is positive.
u**(64127/342225)
Simplify ((j**(-2/3))**(-12))**16*(j**2)**(-28)*(j*j/(j/(j*j*j**(-1/4)))*j)/j**(2/5) assuming j is positive.
j**(1507/20)
Simplify (s**(-4/5)*(s*s*s*s**(-6))/s)**(-37)*(s*s**2/s)/(s/(s/(((s**(-2)/s*s)/s)/s)*s))*(s/s**0)**27 assuming s is positive.
s**(1058/5)
Simplify (((m**8/m)**(-4/13))**33)**(-19) assuming m is positive.
m**(17556/13)
Simplify (n/n**(-20)*n/n**(-40))/((n/(n**(13/5)*n))/n*n/((n*n**37/n)/n)) assuming n is positive.
n**(503/5)
Simplify (((b**11/(b*b**(1/10)))/(b**3)**30)**(9/2))**(-22) assuming b is positive.
b**(79299/10)
Simplify (i/i**26*i**(5/3)*i*(i*i*i/(i/(i/(i*i**(-3/5)))))/i**(1/9))**(-6/7) assuming i is positive.
i**(1786/105)
Simplify (((t**0)**(-19)*(t**(-2/7)/t)**(-10/7))**(1/93))**(-23/3) assuming t is positive.
t**(-230/1519)
Simplify (q**1)**(-44)*(q**(-1))**(34/3)*(q**(-2/7)/q)**(2/43)*(q*q**(1/3))/(q*q**3) assuming q is positive.
q**(-17476/301)
Simplify (j**(-1))**(-2/17)/(j/j**(1/5)*j**3)*(((j*j**(-2)*j*j*j)/j)/(j**(-2)*j))/(j/(j/(j/j**(-1))))**(1/15) assuming j is positive.
j**(-463/255)
Simplify ((s**(2/7)/s)**(-39)*s**(-1)/(s**(-2/13)/s))/((s**(2/3))**22)**17 assuming s is positive.
s**(-60421/273)
Simplify ((b**(-2/5)/b)**8)**(-6/7)*((b**(-1))**(-6))**(2/7) assuming b is positive.
b**(396/35)
Simplify h*h**1*h**(1/10)/h*h**(-1)*h*(h/((h*h*(((h*h**0)/h*h*h)/h)/h)/h))/h*h*((h*h/(h**(-2/5)*h))/(h**3/h))**33 assuming h is positive.
h**(-187/10)
Simplify ((x/x**7)**38/((x/(x**5/x))/x)**4)**(-3/2) assuming x is positive.
x**318
Simplify ((t**(-1/41)*t*t*t/(t**(-19)*t))/(t/(((t/(t*t**13*t)*t)/t)/t)*t/t**(8/5)))**(1/10) assuming t is positive.
t**(1143/2050)
Simplify (j**(-6/7)*j/(j/((j*j*j**(1/3))/j)))/(j**(-1))**(-3/11)*j/j**(5/4)*j*(j*j**(1/2)*j)/j*(j**(-1))**(5/11) assuming j is positive.
j**(1847/924)
Simplify ((j**0)**(-30/11)*j**(-2/5)*j**(-5))**(-1/36) assuming j is positive.
j**(3/20)
Simplify ((v*v/v**(-4)*v)**(-4/7)*(v**(3/10)*v)/(v**(-1/6)/v))**(-15) assuming v is positive.
v**23
Simplify ((l**(-1/7)/l*l**(-2/5))/(l**2/l*l/(l/(l*l*l**(-2/15)*l)*l)))/(((l**(2/21)/l)/(l/l**2))/(l/(l**(-1/5)/l*l)*l/l**5)) assuming l is positive.
l**(-767/105)
Simplify ((x/(x*x/(x**39/x)))**15/(x**(-3/8)/x**47))**39 assuming x is positive.
x**(187941/8)
Simplify ((z**(2/5)*z*z**(-2)/z*z)/(z**(1/4)/(z*z**(-1/7))))/(z*z*z**(-2/7)*z*z*z**5)**(-2/17) assuming z is positive.
z**(351/340)
Simplify ((t*(t**(-6)/t)/t*t**(1/2))/(t*t**(2/5))**(-11))/((t*t**(4/5)/t*t*t**(-3/8)*t)/(t**2/t**(-3))) assuming t is positive.
t**(459/40)
Simplify ((j**(-3)*j*j/((j*j**0)/j))/((j*j**(1/6)*j)/(j*j/j**(-1/4))))/((j**0)**(3/29)/((j*j**1*j)/j**(-8))) assuming j is positive.
j**(121/12)
Simplify (((v/v**(-3/2))/v)/(v*(v*v/(v*v*v**(5/4)/v))/v*v))/(v*(v/(v**(2/5)*v))/v)**31*(v/v**(1/7)*v**1/v)**(-4/15) assuming v is positive.
v**(1809/140)
Simplify (a**(-46)/a**38)/(a**(-27))**(-43) assuming a is positive.
a**(-1245)
Simplify (y**21*y**(25/2)*y)/(y**(27/5)/y*y*y/(y*y**(-2/65))) assuming y is positive.
y**(3779/130)
Simplify i**(3/2)*i*i**(1/10)*(i/(i/(i*i**(-4)*i*i*i*i*i)))/i**3*(i/(i**6*i)*i**4/i)/(i*i**3*i**(-1)) assuming i is positive.
i**(-22/5)
Simplify ((v**(-7)/(v**(-1/6)/v))/(v/v**(-4/3)*v/v**(-2/5)))/((v*v**(2/5)*v)**(18/11)/(v**(-3/11)/(((v*v**(-2/9))/v)/v))) assuming v is positive.
v**(-1129/90)
Simplify ((m**(-2/9)/m*m*m**(-4/7)*m**7*m*m**(-1/6))**(5/2))**20 assuming m is positive.
m**(22175/63)
Simplify s/(s/(s*s*s*s**(-2/3)))*s*(s*s**(-9)*s)/s*(s**(15/4))**19 assuming s is positive.
s**(799/12)
Simplify ((z/((z/(z*z**(2/3)))/z))**(-28)/(z**(2/9)/z**(-1/4)))/(z**(-1/4)/z**(-1/3)*z**(2/3)*z**(-6)*z*z) assuming z is positive.
z**(-647/9)
Simplify (l**(5/4)/(l/(l*l**(-6)*l*l)*l))/((l**(-2/7)/l)/((l*l*l/l**(-6)*l)/l))*((l**1/l)**39)**(-21) assuming l is positive.
l**(183/28)
Simplify (((f*f**(-24))/(f/(f/((f*(f*f/(f*f*f**(-19/2)*f*f))/f)/f))*f*f))/(f/(f*f**(4/3)*f*f*f)*f/(f**(4/13)*f)))**(39/4) assuming f is positive.
f**(-2095/8)
Simplify ((t**(-4))**21*(t**0/t)**(-4))**(-21) assuming t is positive.
t**1680
Simplify (((c/(c/(c**(4/7)/c)))/c**(2/23))/(((c/(c/(c*(c*c*c/(c/(c**(-2)*c)))/c)))/c)/c*c)**(-3))**(-2/61) assuming c is positive.
c**(166/9821)
Simplify ((s**(-2)/s)**(-8/9))**(-7)/((s/((s*s**(1/3))/s))/s**(1/4)*((s**(-1)/s)/s)**(-48)) assuming s is positive.
s**(-1957/12)
Simplify ((q**(-1/3))**(-2/7)*q**7*q**(-4))/((q/q**1)**(2/75))**17 assuming q is positive.
q**(65/21)
Simplify ((((b*(b/(b*b**(-2/11)))/b*b)/b)/b**(1/18))/(b**(4/3)*(b**(-2/5)/b)/b))**(-24) assuming b is positive.
b**(-4724/165)
Simplify (t*t/(t**4*t*t)*(t/(t*t**5*t*t))/t*(t**(1/4))**(-18))/((t/(t**4*t*t))/(t**(-1/5)/t)*(t*t**(2/5)/t)**(-9/2)) assuming t is positive.
t**(-109/10)
Simplify (v**(-2/11)*v**3)/(v**(1/4)/v**(-2/35))*((v*v**(5/2)*v)/v)/v**5*v*(v/(v**(1/6)/v)*v)/v*v**2 assuming v is positive.
v**(27001/4620)
Simplify (a*a*a**1)**26/((a/a**1*a)/a)**(-1/15)*a*(a/(a**(-5)/a))/a*a/(a/(a/a**6*a))*(a**(-1)/a)**(-3/2) assuming a is positive.
a**84
Simplify ((k/k**(1/12))/k**(3/7)*(k**(1/2)*k)**30)/((k*k**(2/7)*k)**(-21)/(((k*k**(-1))/k)/(k/((k/k**(-5))/k)))) assuming k is positive.
k**(8105/84)
Simplify h**(-18)*h/(h*h*h/(h**(-2/69)/h*h))*(h/h**(-34))**(-1/3) assuming h is positive.
h**(-729/23)
Simplify ((c**(1/3)*c*c/c**4)/((c*c**(2/7)*c)/c**3))/((c*c**(3/7)*c)/c**(-2/23))**(15/2) assuming c is positive.
c**(-2735/138)
Simplify (l/(l*(l/(l**(2/3)/l)*l)/l))**(-28)/(l**(-1))**(-20)*(l**(-1/2))**33*(l**(-2)*l)/l**(-4) assuming l is positive.
l**(23/6)
Simplify (l/l**(-2))**(2/109)/(l/(l/(l*l/l**(-1)*l)))**(1/4)*((l*l**(2/9)/l*l*l)/l*l*l)**2/((l/((l/(l*l**(-2/5)))/l))/l)**(3/16) assuming l is positive.
l**(422771/78480)
Simplify ((f*f/f**9)**(1/3)*(f**(4/13)/f)/f**(3/7))**(-2/25) assuming f is positive.
f**(1886/6825)
Simplify (((j**(3/2)/((j/(j**(-3)*j))/j))/(((j*j**8)/j)/j**(-5)))**36)**(-1) assuming j is positive.
j**486
Simplify z**(-2/7)/z*z**(-1/5)*(((z/(z*z*((z*z/(z*z*z**(5/3)/z*z))/z*z)/z*z))/z*z)/z)/(z**(-2)*z)*((((z**(-5)/z)/z)/z)/(z**(3/4)/z))**10 assuming z is positive.
z**(-16447/210)
Simplify (d/(d**(-1/13)/d)*d)/(d*d/(d/d**3)*d*d*d*d)*(d*d/((d/d**(2/5))/d*d)*d)**(2/5)*(d**(2/3)/d)**(-19)* | {
"pile_set_name": "DM Mathematics"
} |
)/((t*t/(t*t**1*t))**(-36/7))**(-26) assuming t is positive.
t**(2840/21)
Simplify (w*w*w**(-2/3)*(w**4/w)/w*(w/w**(-4/7))/w*(w/w**4)/w)/((w**(-2/7))**(-20)*w**(-7)/w**(-7)) assuming w is positive.
w**(-122/21)
Simplify (((m*m**0/m*m)**(-22)*m**(-9)/m**(-1/9))**44)**46 assuming m is positive.
m**(-562672/9)
Simplify (g*g**(-3/7)/g*g*g*g**14*(g*g/g**(-2/23))/g**4)**(32/7) assuming g is positive.
g**(70368/1127)
Simplify (((f/f**(-1/11))/f)/(f*f**(-2)/f)*(f*f**1)**(-23/5))/(f**(1/4)/(f/(f/(f**2*f)*f*f))*(f**(-2/7))**(-32)) assuming f is positive.
f**(-23873/1540)
Simplify ((y**2/y)**(-7/13))**(-3/7)/((y*y**(-1))**(-32)*(y*y**8*y)/(y*y**4*y)) assuming y is positive.
y**(-49/13)
Simplify (f*(f**(-3)*f)/f)/(f*f**(-2/11))*f**(2/3)*f**(1/4)*(f**(7/2)*f*f**(-3))/((f/(f/f**(-5/7)*f*f*f))/f**(1/12)) assuming f is positive.
f**(523/154)
Simplify (m**(-28/9)/(m**(2/133)/m)*(m**(-13))**5)**49 assuming m is positive.
m**(-562450/171)
Simplify (m**38*m**(-44))/(m**20)**(29/4) assuming m is positive.
m**(-151)
Simplify q**12*q/(q*(q/(q/(q**(2/25)*q)*q))/q*q*q)*(q**(-24))**(-46) assuming q is positive.
q**(27873/25)
Simplify (y/y**(-35)*y*y**(-3/2)*y*y)/((y*y*y/y**(-1/16))/y**(-8/7)) assuming y is positive.
y**(3729/112)
Simplify ((x**(-2)/(x/(x*x**12*x*x))*x**(1/2)/(x*x*x/(x*x*x**(4/5))))**(-3))**(-2/129) assuming x is positive.
x**(123/215)
Simplify r/(r/(r**(-3)/r)*r)*r*r**(-3)*r*r*r**6*r/(r/r**(-2))*((r/(r**(5/6)/r))/(r*r**(3/5)))/(r**0/r*r*r)**(-3/22) assuming r is positive.
r**(-214/165)
Simplify n**33/(n*n/n**(-38))*(n/(n/n**(-12)))/((n**25*n)/n) assuming n is positive.
n**(-44)
Simplify (((v*v*v*v**(-2/3)*v*v*v)**48/(v/((v/(v/v**1))/v)*v**(-6)))**(-5/2))**(1/11) assuming v is positive.
v**(-1305/22)
Simplify (((w*w**20/w*w)/(w**(-4/3)*w))/(w*w/((w/(w*w**20*w))/w)*w**8))**(-3/37) assuming w is positive.
w**(32/37)
Simplify ((n*n**(-6))/(n*n**(-2/3)))**33*(n/((n**6*n)/n*n))/((n*n/(n/(n*(n*(n**(-1/3)/n)/n)/n)*n))/n)*(n**4/n)/((n**(-1/6)/n)/n) assuming n is positive.
n**(-349/2)
Simplify (c**(-7)*c**(12/5)*(c**(-2/15))**(1/27))**(-1/4) assuming c is positive.
c**(373/324)
Simplify ((o**8*o*o**(-1/3))/(o**(-1/3)*o*o)**(-46))/((o**(-1/3))**(-19/3)/(o**0)**(-14)) assuming o is positive.
o**(749/9)
Simplify (g**(-2/27)*g**8)**(-18)*(g**(-3/10)/(g*((g*(g/g**(-5))/g)/g)/g))**(-4/15) assuming g is positive.
g**(-10594/75)
Simplify (((d/(d*d/((d/d**(-6))/d*d)*d))/d**17)/(d**3/d**(-19)))**(8/7) assuming d is positive.
d**(-272/7)
Simplify ((((m/m**(2/7))**(-2))**(-2/39))**(-2/21))**(-5) assuming m is positive.
m**(200/5733)
Simplify (((i/i**(-1/3))/i)**(-5/4))**(-2/7)/(((i*i/(i*i**6*i))/i)/i**(-1/7)*i**(1/4)*i**2) assuming i is positive.
i**(397/84)
Simplify (((f/(f*f*f/(f/f**10)))/f)/f**(1/2)*f**(-1/31)/(f**(2/17)/f))**23 assuming f is positive.
f**(-282417/1054)
Simplify ((m**(4/7)/m)/(m/m**(-5/3)*m))**(-2/3)*(m**(-1))**(5/13)/((m**(2/7)/m)/m*m**(-1)) assuming m is positive.
m**(592/117)
Simplify (z**(-1)*z*z**(-3/4))/(z*z*((z*z*z**(1/4))/z)/z*z)**(-3/16)*((z/z**(-8))/z)/(z**(-1/3)*z)*(z**5*z)/z*z**3 assuming z is positive.
z**(2917/192)
Simplify (p**(-15)/(p/(p*p**(-2/7)*p)))**(-1/7)/((p*p*p*p/(p*p**7)*p)/(p**(-1/6)/p)*(p*p/p**(-2))/p**(-9)) assuming p is positive.
p**(-2683/294)
Simplify (x**35*x**30*(x*x**9/x)**1)**(-11) assuming x is positive.
x**(-814)
Simplify ((g**(-34)*(g*(g/(g/(g*g*g*g**(-13)*g*g)))/g)/g)**(-13))**(9/13) assuming g is positive.
g**387
Simplify ((v**(-1/5))**(-7)/(v*v**(-2/9)/v*v)**(2/31))**40 assuming v is positive.
v**(15064/279)
Simplify ((o*o*o**(-4/7)*(o/(o*o**(-24)/o))/o)/(o**(-5/6)/o)**(-8/9))**(4/29) assuming o is positive.
o**(17992/5481)
Simplify (p*p**6*p*p**6/p)**0*p*p**(-3/7)*p/p**(-2/5)*(p*p**(-2/7)*p)**(-1) assuming p is positive.
p**(9/35)
Simplify (g*g*g**(-14))/(g/((g/(g*g**(6/13)))/g))*(g*g*g**4)/(g*g/(g*g**(-1/5))) assuming g is positive.
g**(-628/65)
Simplify ((z**(2/11))**(1/3)/(z**(-4)/((z*z**(-1/10)*z)/z)))**19 assuming z is positive.
z**(31103/330)
Simplify ((w**28*w*w**(-1/11))/(w**(1/33))**24)**(1/21) assuming w is positive.
w**(310/231)
Simplify (m**(3/10)/m**(1/8)*(m**(7/4)/m)/m*m/(m*m*m**(-18/11)))**49 assuming m is positive.
m**(12103/440)
Simplify ((d*d*d**(-2/19))/((d**(1/3)/d)/d))**(5/4)*(d**(1/5)*d**(1/3))/((d*(d/d**(-1/2)*d*d)/d)/d)**(6/13) assuming d is positive.
d**(56779/14820)
Simplify (n*((n/(n*n/(n*n**(2/7)*n)))/n)/n)**(-7/8)*n**(10/17)/(n**(-23/3)*n) assuming n is positive.
n**(1429/204)
Simplify u*u**(-4)*u*u**(1/7)*u**(-1/6)/(u**(-3/7)*u)*(u**(1/9)*u*u**(-3/5))**(-14) assuming u is positive.
u**(-6143/630)
Simplify ((f**2)**45*f**(1/16)/((f*f*f**(-1/6))/f*f*f))**(-20) assuming f is positive.
f**(-20935/12)
Simplify ((n*(n*(n**(-15)/n)/n)/n*n)**(-42)/(n*n**(-30)*n*n**(-1)))**(-2/127) assuming n is positive.
n**(-1318/127)
Simplify (l**(-9/2)/l**(-4/7)*(l**12)**(-2/11))**(-6/23) assuming l is positive.
l**(2823/1771)
Simplify ((f**(-13)*f**(-1/3))/(f**(15/4)*f*f**(-12)))**(5/8) assuming f is positive.
f**(-365/96)
Simplify (u**14*u**(-2/13))**(1/24)*(u**0*u**6)/(u/u**(-2/9)*u*u/(u*u**(-4/3))*u) assuming u is positive.
u**(473/234)
Simplify (((z*z*z**(-3/5)*z*z)/(z**(2/11)/z))/(z*z*z/z**(4/3)*z*z*z*z/(z/((z*z**(-4))/z*z))))/(z/z**(-2/7)*z*(z*z**(-6))/z)**(2/125) assuming z is positive.
z**(75391/28875)
Simplify (q/q**20*q*q)**(-16)*q**(-22)/(q*q*q**22) assuming q is positive.
q**226
Simplify (((y/(y/(y**(-2/3)*y)))**(-45/7)/((y*y**(-3/2)*y)/y*y*y*y**(4/5)/y))**(-19))**31 assuming y is positive.
y**(141949/70)
Simplify ((o*o**(1/7))**(4/9)/(o/(o*o**30*o)*o*o*o/o**(5/11)))**(23/5) assuming o is positive.
o**(461633/3465)
Simplify ((i*i/i**(1/3))**(-20))**(-1/13)/(((i**(-5)/i)/i)/i*i**3/i*(i**(2/7))**12) assuming i is positive.
i**(1402/273)
Simplify (u*u*u**(-1)*u*u/(u/(u/((u**(1/4)/u)/u)*u)*u))**50*(u/((u/(u**(-1/2)*u))/u)*u)**(-35)/(u**(-1/12)/(u**(2/9)*u)) assuming u is positive.
u**(5447/36)
Simplify (d**7*d**3*d)**(-18)/((d*d**5/d)/d**(-1/6)*(d/(d/(d/(d*d/d**(-1/2)))*d))**(-46)) assuming d is positive.
d**(-1909/6)
Simplify (((q*q/((q**0/q)/q*q))**32/((q*q/(q/q**(-1/3))*q)/((q*q**9/q*q)/q)))**(-1))**32 assuming q is positive.
q**(-9920/3)
Simplify ((((p/p**1*p)/p*p)**9*(p**(-1/8)/p)/p**(2/3))**49)**(-38) assuming p is positive.
p**(-161063/12)
Simplify (((d**(-1/3)/d)**16)**(-17))**(-11/5) assuming d is positive.
d**(-11968/15)
Simplify (i**2/((i/(i*((i**4*i*i)/i)/i))/i*i))**(-2/7)/((i/(i/(i*i**(-1))))**(1/25)/(((i/(i/i**0))/i)/i**6)) assuming i is positive.
i**(-61/7)
Simplify (((m/(m/m**(-1/3)*m)*m)/m*m)/m*m)**(-2/15)/(m*m**(-2/5))**33*(m**(-4/9)/m**(-1/3))/((m/m**(-2))/m*m)**(-9) assuming m is positive.
m**(107/15)
Simplify (c**(-2/7)/c*c/(((c/(c*c/((c**(-6)/c)/c)))/c)/c))/(((c**(1/3)*c)/c)/(c**(-2)/c))*c**(-6/5)/c**(-7)*(c**(-2/3))**(-8) assuming c is positive.
c**(648/35)
Simplify ((b*b/(b**(-3)/b))/(b/(b**(2/7)*b))*(b**(2/9)*b)/b*b**6)/((b/((b**(-3)*b)/b))/b*b*b*b**(1/4)*(b**0)**5) assuming b is positive.
b**(1829/252)
Simplify s**(-3)/s**(5/3)*s**4/(s**(-3)/s)*((s**5/s)/s**9)**(-9/8) assuming s is positive.
s**(215/24)
Simplify (((t**(-2/3)/(t*t*t*t/t**(-1/4)*t))/(t**(2/5)/(t**(-7)*t)))**(-1/21))**(4/17) assuming t is positive.
t**(739/5355)
Simplify ((((u**(-4/9)/u)/u)/(((u*u**(-7))/u)/u))/(u**(-8)/u*u**(-5)))**31 assuming u is positive.
u**(5456/9)
Simplify ((((r/(r/r**(-1/20)))/r)/r**24)/(r**6/(r**(-1/28)*r)))**(-1/36) assuming r is positive.
r**(117/140)
Simplify ((s**(3/4)/s**2)/((s*s**(3/2))/(s**(1/2)*s)))**(-7/3) assuming s is positive.
s**(21/4)
Simplify (s**(-4)*s**29*s*s**(9/8)*s*s*s/((s*s*s**(-25))/s)*s)**(-1/11) assuming s is positive.
s**(-441/88)
Simplify (((h*h**18*h)/(h*h/h**12*h*h))/(h**8*h**(2/21)))**(-1/5) assuming h is positive.
h**(-418/105)
Simplify (((f**0)**(-2/77)/(f**(-1/6)/f**(-2/9)))**(4/9))**(3/43) assuming f is positive.
f**(-2/1161)
Simplify (((q**(-2/5)*q*q**(-6))**40)**(-24))**5 assuming q is positive.
q**25920
Simplify ((k/k**(8/9))/(k/k**(2/5))*((k*k**(4/3)*k*k)/k)**(3/2))**38 assuming k is positive.
k**(7714/45)
Simplify (d**(-12)*d*d/(d**(-1/3)/d))**(4/13)/((d**(-1/5))**(-30))**(1/4) assuming d is positive.
d**(-25/6)
Simplify ((k*k**(7/4)*k*k*k*k)/k*k**(-1/7))**(2/5)*(k**(2/7)*k)**(2/13)*(k*k**(-1/4)*k)**(-21/8) assuming k is positive.
k**(-3134 | {
"pile_set_name": "DM Mathematics"
} |
2 + o + 2. Let r be w(6). Suppose 2*d + 5*h = 6*d - 28, r = -2*h. Sort -1, z, d in descending order.
d, z, -1
Let h be 0 + (-2 - 0) + 7. Let w = -6 + 4. Put w, h, -5 in descending order.
h, w, -5
Let h = -7 - -3. Let d = -244/357 + 2/119. Let n = 0 + 3. Put n, d, h in decreasing order.
n, d, h
Suppose -4*k + 14 = -2*c, -3*c - 2*k - 4 = -23. Sort c, -4, 2.
-4, 2, c
Suppose 4*q = 7*q. Sort -9, q, 5.
-9, q, 5
Let l = 2.6 - -1.4. Let d = -1.89 - -1.8. Let b = d + -3.91. Sort b, -2/5, l.
b, -2/5, l
Let k(z) = z**2 + 19*z - 5. Let p be k(-19). Let b(w) = w**2 - 8*w + 4. Let l be b(6). Sort p, 5, l in increasing order.
l, p, 5
Suppose 2*q = -5 + 17. Suppose -o - 2*o = -q. Suppose 0 = 5*m - 2*z - 28, -o = -2*m - 3*z - 6. Put m, -1, 1 in increasing order.
-1, 1, m
Let k be 72/(-84) - (-2 + 5 - 4). Let b = 9 - 6. Put -3, k, b in increasing order.
-3, k, b
Let w = -1.5 + 1.9. Sort 1/3, w, -4.
-4, 1/3, w
Let g = 650/21 - 92/3. Put -2/7, g, -2, -4 in increasing order.
-4, -2, -2/7, g
Suppose 5*i - 13 + 8 = 0. Suppose -3*z - 9 = -0*z. Put -2, i, z in descending order.
i, -2, z
Let g(s) be the second derivative of s**3/3 + 4*s**2 - 6*s. Let h be g(-7). Put -5, 4, h in decreasing order.
4, -5, h
Let s = -57.7 - -58. Put 4, -6/5, s in ascending order.
-6/5, s, 4
Suppose 4*g = -4*q - 20, g + 2*q + 9 = 3. Let l be (-11)/(-14) - g/(-14). Put 4, l, -0.04 in decreasing order.
4, l, -0.04
Let b(t) = t**3 + 9*t**2 - 11*t - 12. Let h be b(-10). Sort h, -0.1, 15.
h, -0.1, 15
Suppose 3*g = -4*y + 7, -5*g = 5*y - g - 9. Put -2, y, -1 in descending order.
y, -1, -2
Let t = 81 + -1055/13. Let s(k) = -k**3 + 14*k**2 + 14*k + 17. Let r be s(15). Let m = -1.2 + 1. Put r, m, t in descending order.
r, t, m
Let s = -3 - 0. Let f = -3 - s. Let z = -0.3 + f. Sort -1, z, 2/19 in descending order.
2/19, z, -1
Let v be (-4 - ((-4 - 0) + 0))/(-2). Sort -3, -1, 1, v in descending order.
1, v, -1, -3
Let l = -1 + 2. Let i = 2/115 - 48/115. Put l, i, 0.4 in descending order.
l, 0.4, i
Let i be (6/(-7))/((-1)/(-7)). Let g be ((-6)/4*2)/(-3). Sort i, -2, g in descending order.
g, -2, i
Let v be -1 - (-2 - (-1594606)/11). Let c = -145264 - v. Let u = c - -301. Put u, 0, -2 in descending order.
u, 0, -2
Let t = 15 + -14. Sort t, -1/5, 0.4, 2/3 in descending order.
t, 2/3, 0.4, -1/5
Suppose 5 = -f + 2*r + 8, f = r. Let i = 5.66 + -0.56. Let z = 0.1 - i. Sort z, 5, f in ascending order.
z, f, 5
Let a = -8.8 - -9.3. Sort a, 8, 3, -0.4 in ascending order.
-0.4, a, 3, 8
Let c(j) = -1 + j**2 - 2*j - 8*j**2 + 5*j**2 - 6*j**3. Let o be 2/6 - 8/6. Let s be c(o). Sort s, -0.4, -1/4.
-0.4, -1/4, s
Let m = 57 - 55. Put -5, m, -1, 6 in descending order.
6, m, -1, -5
Let q = -13 - -14. Put -4, q, 4 in decreasing order.
4, q, -4
Let a = -51/2 - -26. Let p be 264/(-12) + (-1 - 2). Let v = p - -21. Put v, 0.4, a in descending order.
a, 0.4, v
Suppose 5*x = -5*r - 30, 3*x + 7 = -r - 7. Let q be (2 + 1)*(-5)/(-3). Suppose 2*a - 5 = q, 5*h = -a + 30. Sort -5, x, h.
-5, x, h
Let p = -3 + 5. Let s(n) = 3*n - 2. Let v be s(2). Put 1, p, v in decreasing order.
v, p, 1
Let p(l) = l**3 - 6*l**2 + 4*l + 4. Let g be p(5). Let t = -12.5 + 12. Sort g, -4, t in decreasing order.
t, g, -4
Let p = 5.3 + -6. Let j = p - -1. Let u = 5 - 2. Put j, u, 2 in decreasing order.
u, 2, j
Let u = -11 + 16. Suppose 5*c + u = -5*p, -c + p = -3*c. Put 3, c, -1 in descending order.
3, c, -1
Let m be (-1 - (-12)/8)/1. Let q be (-2)/12*(-27)/(-18). Sort -0.5, m, q.
-0.5, q, m
Let z be (-4 + 5)*(5 - 0). Suppose -s + 0*s - z*u = -21, 0 = s - 4*u + 15. Suppose -l - 5*f - 6 = 2*l, 3*f + 6 = -3*l. Put s, l, -5 in descending order.
s, l, -5
Let q be ((-3)/(-2))/(9/12). Let j be q/11 + (-57)/11. Let h = 11 - 10. Sort 0, j, h in decreasing order.
h, 0, j
Let u be 21/27 + 4/18. Let w(a) = -a**3 - 4*a**2 + 4*a - 2. Let s be w(-5). Put u, 4, s in decreasing order.
4, s, u
Let k = 13 - 15. Let d(h) = h**3 - h - 3. Let o be d(0). Sort k, o, 2 in increasing order.
o, k, 2
Let j be 7 - 2 - (11 - 10). Put -2, j, -1, -3 in descending order.
j, -1, -2, -3
Let b(i) be the third derivative of i**5/60 + 5*i**4/24 + i**2. Let u be b(-6). Suppose -t - 25 = -u*t. Put t, -1, 0 in descending order.
t, 0, -1
Let b = -12 - -11.99. Let c = b + -0.09. Put c, 0, -4 in increasing order.
-4, c, 0
Let y be 2/(-7) + 90/21. Suppose 0 = -9*t - 2*t + 22. Put t, -0.4, y in increasing order.
-0.4, t, y
Let l = 0.21 + 0.29. Sort 3, 5, l in decreasing order.
5, 3, l
Let h = 0.2 - 2.2. Sort h, 0.2, -2/5 in ascending order.
h, -2/5, 0.2
Suppose 5*a + 25 = -5*d + a, -5 = -a. Let v be 3*(-6)/d - 4. Sort v, 1, 2 in increasing order.
v, 1, 2
Let a = 8 - 4. Suppose 2*r - g = 3, 7 - 3 = a*r - 4*g. Let q be (-2)/2*(-5 + 2). Put r, 4, q in increasing order.
r, q, 4
Let o = 1 + -6. Suppose 4*y + 0*y + 8 = 0. Put 4, o, y in decreasing order.
4, y, o
Let a be -3 + 0 - (3 + 19/(-3)). Sort 3, 0.3, -2, a in increasing order.
-2, 0.3, a, 3
Let j = -2 + 2.01. Let s = j - 4.01. Let z = -2.83 + -0.17. Put s, 1, z in decreasing order.
1, z, s
Let a = -20 - -26. Let m(t) = t - 5. Let x be m(a). Sort x, -2, -4 in descending order.
x, -2, -4
Let l be 10/35 - 74/14. Let k = 7 + -3. Let s(h) = h**3 + 6*h**2 + h + 4. Let y be s(-6). Put y, k, l in increasing order.
l, y, k
Let v = -0.6 + 0.9. Let k = -218 - -2183/10. Let z = k + 31/30. Put 4, z, v in descending order.
4, z, v
Let t = 23 + -162/7. Let c(o) = 99*o + 1. Let g be c(1). Let i be (-4)/2 + g/30. Sort 2, i, t.
t, i, 2
Suppose -1 = 3*q - 7. Suppose -q*s - 8 + 2 = 0. Sort s, 4, 3.
s, 3, 4
Suppose 5*j + 4*p = -0*j + 10, 6 = 3*j + 3*p. Put j, 0, 1 in ascending order.
0, 1, j
Let j = -14.966 + -0.034. Sort 1/2, -0.3, j in decreasing order.
1/2, -0.3, j
Suppose 0 = -2*p + 3*g - 6, -3*p + 2*g - 2 = 2. Suppose q = 5*q - 8. Sort -5, q, p.
-5, p, q
Suppose -5*t = -2*r - 24, 5*t - 7 - 3 = -5*r. Put 5, t, -5, 1 in descending order.
5, t, 1, -5
Let a be (-5)/20*16/(-18). Sort a, 3/7, -0.5 in descending order.
3/7, a, -0.5
Let h = -2 + -2. Let t be (-4)/22 - 150/22. Let p = 10 + t. Sort p, -3, h in decreasing order.
p, -3, h
Suppose 2*t = -3*y + 2, 2*y - t = -2*y - 12. Let o = 2 - 6. Sort o, 0.5, y in descending order.
0.5, y, o
Let g be 3 - 2/4*16. Let f = 5.1 + -5. Sort 0, f, g in ascending order.
g, 0, f
Let k = -0.4 + 0.6. Let v = k - -0.2. Sort 4, 3, v in ascending order.
v, 3, 4
Let y = -2 - -4. Let i = -5 + y. Let l = 17 + -16.7. Sort l, i, 4 in descending order.
4, l, i
Suppose d + 2 = 2*d. Put d, -3, -2 in descending order.
d, -2, -3
Let l = -3/289 + 2625/2312. Put -2/5, -3, -2/19, l in decreasing order.
l, -2/19, -2/5, -3
Suppose 5*b = 3*a + 6, -a - 4*a = -b + 10. Sort a, -17, 4.
-17, a, 4
Let o = -25/17 - -259/153. Let p = -11 - -10. Sort 0.5, o, p.
p, o, 0.5
Let q = 312 + -310. Let c = 0.1 - -0.1. Put 1, q, c in ascending order.
c, 1, q
Let n = 16 + -11. Sort -2/15, 1, n in descending order.
n, 1, -2/15
Let h = 311 + -310. Let c be 4/6 + 3/(-9). Put h, 0.06, c in decreasing order.
h, c, 0.06
Suppose -2*q + 48 = -0*q. Let t be (-4)/(-6) - q/(-18). Put t, -2, 4 in decreasing order.
4, t, -2
Let z be 1/(-1*(-3)/(-9)). Let r(v) = -v + 1. Let q(a) = a**2 + 8. Let d(w) = -q(w) + 5*r(w). Let y be d(z). Sort y, 4, 2 in ascending order.
2, y, 4
Let w = -13 + 2. Let p = -13 - w. Let g = 0.35 + 0.05. Put g, -1/2, p in decreasing order.
g, -1/2, p
Suppose -5*m = g + 6, m - 3*m = 3*g + 5. Suppose -26*k - 6 = -24*k. Sort k, 4, m in decreasing order.
4, m, k
Let i be (-1084)/6*(-2)/(-8). Let r = -45 - i. Sort 0, r, 3 in decreasing order.
3, r, 0
Let f = 0.01 + -4.01. Put -1, 0.06, f in decreasing order.
0.06, -1, f
Let p(w) = 0 - w + 8 - 2*w + 4*w. Let y be p(-8). Put y, 3, 1 in descending order.
3, 1, y
Let t = -125 + 122. Let z(o) = o**2 - 3*o + 4. Let f be z(3). Put t, f, -2 in decreasing order.
f, -2, t
Suppose -i = -0*i - 5. Put i, -4, -1 in descending order.
i, -1, -4
Let g = -8 + 10. Sort 0.3, g, -1/3 in ascending order.
-1/3, 0.3, g
Let l(o) = o**2 - 9*o + 8. Let k be l(8). Suppose k = 3*t + 4*n - 20, 5*t + 10*n = 5*n + 30. Suppose y = 6*y + 20. Put 2, y, t in descending order.
t, 2, y
Let o be ((-7)/(-28))/((-1)/10). Let f = -14 + 18. Sort 3/5, o, f in ascending order.
o, 3/5, f
Let f = 0.2 - -0.3. Let o = f + -0.5. Sort o, -3/5, 2/19 in decreasing ord | {
"pile_set_name": "DM Mathematics"
} |
2*c = -10 for a.
2
Suppose 4*z - 8 = 12, 4*a + 2*z + 62 = 0. Let q = a - -15. Let s be ((-3)/4)/(q/(-2))*-16. Solve -h - s = -4*f, -3*f + 6*f = 5*h + 6 for f.
2
Let t(f) = f**3 - 6*f**2 - 52*f + 286. Let g be t(5). Solve -4*r - 3*x = -g, 6*r + 5 = 7*r - 4*x for r.
1
Let y be -5 + 9 - (3 + 0). Let r be (-4)/y + (-1 - (-2 + -3)). Solve -2*n + 8 = -5*p, -n + 3*p + 0*p + 5 = r for n.
-1
Let q(f) = f**2 - 10*f + 9. Let n be q(9). Solve n = -u + 3*h - 4*h - 6, 0 = 5*u - 4*h - 6 for u.
-2
Let o = -3622 - -3628. Solve -4*b = -5*p - 36 + 1, -33 = -3*b + o*p for b.
5
Let b(p) = -p**3 + p**2 - p + 6. Let h be b(0). Let j be (-3 - 0) + 9 - 1*h. Solve 2*l - 3 = s, -2*s - 7 = -5*l - j*l for l.
1
Let m be (-6)/9*(-54)/4 - 2. Let s = -3 + 7. Suppose 0 = m*o - s*o. Solve a = o, -5*a = -2*v + 7 + 1 for v.
4
Let f = 4062 - 4051. Solve 0*m - 4*t = -5*m + f, 3*m + 19 = -4*t for m.
-1
Suppose -12 = -5*q - 3*f, 1 - 9 = 5*q - 2*f. Suppose 4*d = i - 0*d - 25, q = -5*i - 5*d. Solve -k - 5 + 0 = -i*a, 4*a = 5*k + 25 for k.
-5
Let z(p) = 3*p**2 - 43*p - 4. Let y be z(8). Let n = -151 - y. Solve 0 = -4*d - 2*f + 4, 5 = n*d - 5*f - 0 for d.
1
Let j(s) = 41*s + 126. Let f be j(-3). Suppose 3*c + 2 = -2*l, 4*l - 21 = -f*c - 31. Solve -4*t = -0*t + r + 12, 10 = -t - c*r for t.
-2
Suppose -2*g + 81 = f, 134 = -4*g + 7*g - f. Let y = g - 42. Let h be 32 - 6 - 5 - (1 - y). Solve -4*p - 5 = -h, 5 = k + p for k.
1
Suppose 266*i - 274*i = -16. Solve -13*h + 15 = -8*h - 3*r, i*h - 6 = -4*r for h.
3
Suppose -41 = -16*q + 17 + 70. Solve 4*x + 89*f = 90*f + 5, -x - 2*f = -q for x.
2
Let j(b) = -b**3 + 47*b**2 - 496*b + 30. Let w be j(16). Solve -7*p = 4*k + 15, k - 5*p - w = -0 for k.
5
Suppose 0 = -65*m + 75*m - 40. Solve -s = 3*s + m*b, 0 = -2*s + 5*b - 35 for s.
-5
Let n = 19 - 27. Let y(i) = i**2 + 4*i - 4. Let x be y(n). Suppose 0 = -4*h + 5*a + 1, -3*a + x = 4*h + a. Solve -s - 1 = -2*c + h*c, -c + 5*s = 6 for c.
-1
Suppose -4*t = 5*d - 41, -4*t - 5 = -5*t + 4*d. Let g be (-10)/(-3) + 3/t*2. Let o be 3/g - (-3)/12. Solve -3*r - 2*c + 6*c = -3, 2*r - o = 3*c for r.
5
Let a(k) be the first derivative of 7*k**3/3 + 25*k**2/2 + 46*k + 107. Let t be a(-2). Solve -4*u + 3*z - t = 0, -3*z = 5*u + 6 - 3 for u.
-3
Let f = 9654 - 9634. Solve 2*z - 5*m = -28, 203*m = 208*m - f for z.
-4
Let z(r) = 12*r**2 + 180*r + 6. Let y be z(-15). Solve 4*x - 14 = 5*n, 0 = -4*x + y*n - 5*n + 22 for x.
6
Suppose -4*d + 13*i - 11*i + 162 = 0, -4*d - 2*i + 174 = 0. Let f be (d/(-56))/((-3)/16). Solve -f*m + 4*k = 4, -5*k - 16 = m + m for m.
-3
Let m(t) = -2*t**3 - 17*t**2 - 8*t + 1. Suppose 4*j - 14*j = 0. Let b be j + (-228)/28 + 1/7. Let n be m(b). Solve -2*c - 1 = -3*y - 12, -5*c - n = 2*y for y.
-3
Suppose 18 = 10*b + 8. Suppose 3*v - 3*o + 8*o + 23 = 0, -5*v + o - b = 0. Let z be 0 + v + 2 + 2. Solve 5*q + 0*q + 5*p - 20 = 0, -q = -z*p + 4 for q.
2
Let v(t) = 7*t - 130. Let m be v(20). Solve -4*p = 5*j - m, -9*j - 8 = -5*j for p.
5
Let x(f) = 2*f**3 - f**2 - 2*f - 609. Let h be x(0). Let m = h - -611. Solve 7*d - 3*d = -m*i + 6, -13 = 3*d - 2*i for d.
-1
Suppose -3*x + 3*m + 1671 = 0, 0*x - 2*m + 2246 = 4*x. Let j = x - 538. Solve 0 = 5*b + 2*d + j, 0*b + 2*b + 3 = 5*d for b.
-4
Let g(c) = c - 1. Let z be g(3). Let o(p) = -10*p - 10 - z*p**3 + 3 - 5 + p**3 - 8*p**2. Let t be o(-7). Solve f = -3*x - t, -2*x + 0*f + 4*f = 6 for x.
-3
Let p = 72 + -68. Let a(b) = -2*b**2 + 8*b. Let c be a(p). Solve -3*y + 4*y = -5*f - 1, c = -2*f + y - 6 for f.
-1
Suppose -2*j - 30 = 2*w, 0 = -w + 2*w - 2*j + 30. Let z be (-10)/w - 5/(-2). Let u be (-1 + 1)/(-2 + z) - 0. Solve -2 - 5 = -s + 2*v, 4*v + 4 = u for s.
5
Let l be 0 - 3*(-1)/1. Let r(j) = -j**2 + 7*j - 2. Let x be r(6). Let h be 0/(-1)*x/(-8). Solve h = s - 4*m - 15, -l*m = s + 6 for s.
3
Suppose 2*u + 2*l = -230, -u - 5*l - 61 = 62. Let r = u + 113. Suppose 4*a - 3 - 5 = r. Solve y = 2 + 3, -a*t = y - 9 for t.
2
Let q be (-33)/11 - (-5 + 0 + -2). Solve -q*t + 6 = 5*v, 4*v + 6*t - 5*t = 7 for v.
2
Suppose -40*a - 24*a + 729 = 179*a. Let s = 2 + 2. Suppose 2*n - 4 = 4*k, -s*n + 5*k + 11 = -0*k. Solve 0 = 3*r - a*d + 2 + n, 0 = 5*r - 2*d + 19 for r.
-5
Let r(b) = b**3 + 42*b**2 - 42*b + 68. Suppose -602 = -48*m + 62*m. Let n be r(m). Solve -s + 6*s - 4*a = n, -3*a = 5*s - 25 for s.
5
Let v(r) = -r + 6. Suppose -2*x - 3*x = -50. Suppose -w = x*w - 66. Let q be v(w). Solve o - 2*o - 2*k - 2 = q, -4*o - 8 = k for o.
-2
Let j(a) = a**3 - 4*a**2 + 6*a - 30. Let k be j(4). Let h be (2 + 8/k)*6. Solve g - h*i - 4 + 5 = 0, 2*i + 17 = -3*g for g.
-5
Let c = -472 - -519. Let p = c + -22. Solve -3*s + 23 = -4*z, 0*z + 5*z - 3*s + p = 0 for z.
-2
Let y(r) = 2*r**2 - 44*r + 50. Let z be y(22). Let g = z + -47. Solve -3*o - 5*w + 13 = 30, -5*o - 2*w = g for o.
1
Suppose 15*k + 1 = 61. Suppose n - 28 + 11 = -k*s, -5*n = -2*s + 3. Let w be 1/((-10)/(-8) - n). Solve -2*y = 3*z - w*y + 4, 5 = y for z.
2
Let m = 6958 - 6992. Suppose -f + 31 = 2*z, 4*z = 4*f - 0*z - 160. Let w = m + f. Solve -w*n - 4*p - 5 = 0, 0 = -5*p + 4 - 14 for n.
1
Suppose -b = -89 + 87. Let x be (-3)/b*(-13 + 175/15). Solve 0 = 4*i - x*q - 4, -2*q - 2*q = 2*i - 2 for i.
1
Let v(u) = 20*u + 45. Suppose -4*b + 0*b + 4 = 0, 4*b = -n + 2. Let h be v(n). Let y be 4/(0 + (-2)/(-2)). Solve 5*z + 15 = 5*g, -y*z + h*g = -5*z + 15 for z.
0
Let v(a) = -a**2 - 129*a - 496. Let n be v(-4). Solve s + 7 = u, n*s = -u - 4 - 9 for s.
-4
Let i = 3532 - 3527. Solve -4 = -2*m + 4*r, i*m + 8 = -22*r + 23*r for m.
-2
Suppose 3*o - 2*y - 8 = 33, -2*o + 23 = 3*y. Suppose 2 - 12 = -2*u. Suppose u*v - o = 12. Solve 5*t + 4*p = -4, -v*t + 2*t - 2*p = 4 for t.
-4
Let g = 910 + -900. Solve 5*t - 16 = 2*p, -5*p + 5 = 5*t + g for t.
2
Suppose 0 = 4*w + v - 14, -3*v + 2*v = -2. Let i be 10/(-195)*1 - 5122/(-1014). Solve i*l = w*n - 6*n + 1, -5*n = 15 for l.
2
Let g = 403 - 377. Suppose 11*u - g = -4. Solve 5*m + u*h + 3*h = 25, h + 1 = 5*m for m.
1
Let g be (2 - 133/35)/(48/(-160)). Solve g*r - r - 10 = -i, -5*i = r + 22 for i.
-5
Let q = 0 - 0. Let r(a) = -510*a - 72926. Let w be r(-143). Solve -p + 1 - 10 = -z, -w*z + 5*p + 41 = q for z.
4
Let n = -192 + 213. Let u be 3/(-9) + 154/n. Solve -3 = c, 2*f = -2*f + c + u for f.
1
Let u be (-6)/27 - 56/(-9). Let y(q) be the third derivative of 5*q**4/24 - 8*q**3/3 - 347*q**2. Let i be y(u). Solve -i = h + 4*b + 1, -2*b - 5 = h for h.
5
Suppose -16*r + 144 - 112 = 0. Suppose r*d - 5 + 1 = 0. Solve 0 = 3*m - d*w - w + 27, -4*w = -2*m - 28 for m.
-4
Suppose 2*c - 4*g = -5*g + 16, 2*c - 14 = -2*g. Let n = -11 - -28. Suppose -2*m = -5*j + 25, -4*j + 2*m = m - n. Solve -a = 5*h - j*h + 2, -5*h + c = -a for h.
1
Let h be 3/(-2)*(-7 - 5*(-13)/(-15)). Solve -5*m - 4*f = -15, -5*m = 16*f - h*f + 10 for m.
-1
Let d(i) = i**3 + 24*i**2 - 6*i - 60. Let r be d(-24). Suppose 2*m - 92 + r = -2*x, -14 = -4*m - 2*x. Solve 0 = m*w - 0*t - 3*t + 9, w = 4*t for w.
-4
Let i be (-2)/(-4) - 6/12. Suppose -173*v + 174*v = -27. Let c = -11 - v. Solve -k - o = -5*k - c, i = 4*k - 5*o for k.
-5
Suppose 2225 = 8*l - 3*l - 5*d, 457 = l - 5*d. Let j = 462 - l. Solve -j = 5*o, 0*o - 4 = -4*z + 3*o for z.
-2
Let q(a) = -a**2 - 6*a + 15. Let f be q(-6). Suppose 0 = 2*o - f*o + 130. Solve -5*n - 2*x + o = -4*n, 3*n + x = 15 for n.
4
Let v(g) = 3*g**3 - 3. Let z be v(2). Suppose 0 = 4*l - 21 + z. Solve l = -2*s - d + 14, 2*s - 22 = -2*d - 4 for s.
5
Let c be 2*5 + 2/(-1). Let z be 1/5*0 + (18 - 18). Suppose z = 2*m - 16 + c. Solve 5*h - m*t - 20 = 0, 4*t - 4 = -4*h + 12 for h.
4
Let b(k) = -31*k + 191. Let f be b(6). Solve 0 = 4*u - 4*w, 3*w = -0*u - f*u - 40 for u.
-5
Suppose 0 = -4*f + 5*d - 7, -d - 3 = -5*f + 4. Suppose 53935*v - 53904*v = 62. Solve f*g + 3 = -v*m + 3*g, -4*g = -20 for m.
1
Suppose -10 = 3*s + 2*s. Let p be 44/(-99) + 62/18. Let y be p + 1*(4 + -1 + s). Solve -2*g - 12 = 2*x, 0 = -3*x + 5*x + y*g + 22 for x.
-1
Suppose 0 = 4*z + 5*f - 80, 4*z = -4*f + 79 - 3. Let o be (3 + -2)/(z/30). Solve -8 - 7 = 2*q + 5*r, 0 = -2*q - o*r for q.
5
Let c(l) = l**3 + 5*l**2 - 2*l + 28. Let t be c(-6). Suppose 2*n - 8 = t*i, -3*n = -0*i + 4*i - 12. Solve i = -2*b - 8, 3*j - 7*j = 5*b + 12 for j.
2
Let y = -1 + 4. Suppose 5*d = 3*p + 17, -4*d - y*p + 6 = -13. Suppose 5*s + z - 27 = 0, 5*z + 4 = 7*z. Solve -4*a = -4*o - 24 | {
"pile_set_name": "DM Mathematics"
} |
*3.
2*p**2*(2*p + 1)/3
Let k(t) be the second derivative of 0 - 1/10*t**5 + 1/3*t**4 + 1/3*t**3 - 6*t - 2*t**2. Suppose k(d) = 0. Calculate d.
-1, 1, 2
Let r(m) = m**3 + 6*m - 4*m**2 - 2*m**3 - 5 - 2*m. Let t be r(-5). Factor -2/7*l**4 + 2/7*l**3 + 0*l + t + 0*l**2.
-2*l**3*(l - 1)/7
Let h = -121 + 487/4. Factor -3/4*c**2 + 3/4*c - h*c**3 + 3/4*c**4 + 0.
3*c*(c - 1)**2*(c + 1)/4
Let i be (-36)/(-10) + (-9)/15. Suppose -4*r = -5*r + i. Solve -18/5*z - 2/5*z**5 - 12/5*z**4 - 32/5*z**2 - 4/5 - 28/5*z**r = 0.
-2, -1
Let m(x) be the second derivative of 9*x**5/40 + x**4 + 3*x**3/4 - 3*x**2/2 - x. Suppose m(c) = 0. Calculate c.
-2, -1, 1/3
Let q(c) be the first derivative of 0*c**3 - 1/3*c**2 + 1/6*c**4 - 1/15*c**5 + 1/3*c - 5. What is y in q(y) = 0?
-1, 1
Let k(p) be the second derivative of -p**4/60 - 2*p**3/15 - 3*p**2/10 + 11*p. Let k(s) = 0. What is s?
-3, -1
Let s(d) be the first derivative of d**5/20 - d**4/16 - d**3/12 + d**2/8 - 9. Suppose s(x) = 0. Calculate x.
-1, 0, 1
Let x = 1 + 1. Let -2*h**3 + h**x + 3*h**3 - 6*h + 6*h = 0. Calculate h.
-1, 0
Let t be (2 + (-36)/15)*-5. Suppose -s - 2 = 2*m, m - 9 = -s - t*s. Factor 2/7*h**3 - 4/7*h**s + 0 + 2/7*h**5 + 0*h**2 + 0*h.
2*h**3*(h - 1)**2/7
Let m(f) be the third derivative of f**5/80 - 5*f**4/16 + 25*f**3/8 - 6*f**2. Let m(q) = 0. What is q?
5
Suppose -1/3*v**4 + 1/3*v - 2/3*v**3 - 1/3 + 2/3*v**2 + 1/3*v**5 = 0. What is v?
-1, 1
Let r(t) = t**2 - 4*t + 5. Let j(z) = -1. Let u(s) = 10*j(s) + 2*r(s). Factor u(c).
2*c*(c - 4)
Let k(u) = 3*u**4 - 9*u**3 - 25*u**2 + 4*u + 17. Let w(t) = -t**4 - t**3 - t**2 + 1. Let g(p) = -k(p) + 5*w(p). Determine x so that g(x) = 0.
-1, 1, 3/2
Let d(c) be the second derivative of -8*c - 19/3*c**4 + 0 + 8*c**2 - 8/3*c**3 - 14/5*c**5 - 2/5*c**6. What is n in d(n) = 0?
-2, -1, 1/3
Let m(w) be the third derivative of w**9/2268 + w**8/5040 - w**3/6 + 3*w**2. Let u(v) be the first derivative of m(v). Solve u(r) = 0 for r.
-1/4, 0
Let d(m) be the first derivative of -1/2*m**2 + 1/9*m**3 - 3 + 1/4*m**4 - 1/3*m. Suppose d(s) = 0. What is s?
-1, -1/3, 1
Let t = -5 + 7. Suppose -t*z**2 + 132*z + 147*z**5 - 84*z**4 - 7*z**3 - 40*z**2 - 422*z**3 - 24 = 0. What is z?
-1, 2/7, 2
Let t(u) be the first derivative of 2/3*u**2 - 4/9*u**4 - u - 2 - 1/9*u**3 - 1/6*u**5. Let c(g) be the first derivative of t(g). Find v, given that c(v) = 0.
-1, 2/5
Let m(s) = s**4 - s**3 - s**2 - s - 1. Let h(t) = -73*t**4 - 392*t**3 - 29*t**2 + 226*t - 62. Let l(p) = -h(p) + 2*m(p). Solve l(f) = 0.
-5, -1, 2/5
Let j be (0 - 0)*1/(-1). Find b, given that -2 + j*b**3 + 2*b**3 - 3*b**4 + 2 + b**2 = 0.
-1/3, 0, 1
Let s(n) = n**2 - 2*n - 5. Let x be ((-24)/9)/(4/(-6)). Let f be s(x). Factor 5*z**3 + 5*z - z**f - 1 - 6*z**2 - z - z**4.
-(z - 1)**4
Let q(l) = 2*l - 6. Let y be q(10). Let x be 1 + (-6)/y*1. Solve 0*o**2 - 4/7*o**3 - 2/7 + x*o + 2/7*o**4 = 0.
-1, 1
Let g = 4 + -7/2. Let r(f) be the first derivative of 6/5*f**5 + 0*f + 1 + f**2 - g*f**4 - 2*f**3. Factor r(s).
2*s*(s - 1)*(s + 1)*(3*s - 1)
Suppose h = -3*h - 5*t + 15, 4*h = 2*t + 22. Suppose h*c - 12 = c. Solve -4/9*z**2 - 2/9*z**c + 4/9 + 2/9*z = 0.
-2, -1, 1
Let r be (2 - (-35)/(-18))/(2/4). Let f(p) be the second derivative of -4*p + 0 - r*p**3 + 0*p**2 + 1/36*p**4. Factor f(k).
k*(k - 2)/3
Let y be (-46)/(-9) + (-3)/27. Let o(c) be the third derivative of 0*c**y + 3/8*c**4 - 1/40*c**6 - 5*c**2 + 0 + 0*c + c**3. Factor o(i).
-3*(i - 2)*(i + 1)**2
What is q in -20*q**3 + 0*q**2 - 16*q - 32*q**2 - 5*q**4 + 4*q**4 - 3*q**4 = 0?
-2, -1, 0
Let n(t) be the second derivative of t**8/2520 - t**7/420 + t**6/270 + t**3/3 - 5*t. Let a(f) be the second derivative of n(f). Factor a(u).
2*u**2*(u - 2)*(u - 1)/3
Let g be 31/3 + 2/3. Suppose 0 = -2*c + g + 1. Solve a**3 + 0 - 2*a**3 - 6*a + c*a**2 - a**3 + 2 = 0 for a.
1
Let g(b) be the first derivative of -21*b**5/25 - 69*b**4/20 - 27*b**3/5 - 39*b**2/10 - 6*b/5 - 12. Find k, given that g(k) = 0.
-1, -2/7
Let w be 119/70 + (-1)/(-2). Let i = w - 17/10. Let -3/2*g**3 - 1/2*g**5 + 0*g + 0 + i*g**2 + 3/2*g**4 = 0. What is g?
0, 1
Let z(t) be the first derivative of -t**6/12 - t**5/5 - t**4/8 - 3. Factor z(u).
-u**3*(u + 1)**2/2
Suppose 2*v - d + 19 - 24 = 0, 0 = -3*v + d + 8. Factor -1/6*j - 4/3*j**v - 7/6*j**2 + 8/3*j**4 + 0.
j*(j - 1)*(4*j + 1)**2/6
Let l(j) be the first derivative of j**7/210 + j**6/50 + j**5/50 - j**4/30 - j**3/10 - j**2/10 + 4*j - 2. Let g(d) be the first derivative of l(d). Factor g(f).
(f - 1)*(f + 1)**4/5
Let a(k) = -k**2 - k. Suppose m = -4*v + 2, -3*m - v + 0 = -6. Let r(u) = u**2. Let g(n) = m*r(n) + a(n). Factor g(d).
d*(d - 1)
Determine p so that -3*p**2 - 1/2*p**3 - 7/2*p - 5/4 + 1/4*p**4 = 0.
-1, 5
Suppose -8/9*f - 2/3 - 2/9*f**2 = 0. What is f?
-3, -1
Suppose -5*p + 17 = -x, x - 3*x + 14 = 2*p. Solve -w**x + w**4 + 0*w**4 + 2*w**3 = 0.
-1, 0
Suppose -5*f = -12*f + 14. Determine d, given that -2/3*d**4 + 0 - 2/3*d**3 + 2/3*d + 2/3*d**f = 0.
-1, 0, 1
Let j(k) be the third derivative of k**6/160 + k**5/80 - k**4/32 - k**3/8 + 7*k**2. Solve j(q) = 0 for q.
-1, 1
Let u(n) = -25*n**4 - 5*n**3 + 35*n**2 + 10*n + 5. Let x(c) = -13*c**4 - 3*c**3 + 17*c**2 + 5*c + 2. Let m(r) = 2*u(r) - 5*x(r). Factor m(t).
5*t*(t - 1)*(t + 1)*(3*t + 1)
Suppose -3*i + 4*h = -6*i + 14, 2*h - 12 = -4*i. Let b(q) = 2*q + 1. Let s be b(1). Factor -4/3*c**4 - 2/3*c**2 + 0 + 0*c - i*c**s.
-2*c**2*(c + 1)*(2*c + 1)/3
Let j be (64 + 2)/(-3 + 5). Suppose 3*k + 21 = 5*k + 3*m, -5*k - m = -j. Factor 0*y**2 - 3*y**2 - k + 0 + 9*y.
-3*(y - 2)*(y - 1)
Let l(k) = -k**3 + k**2 - k + 4. Let w be l(0). Let f be 2/8 + 7/w. Determine a so that -2*a**2 + 2*a**f - 2*a**4 + 0*a**3 + 4*a**3 = 0.
0, 2
Let m be 6/((10/(-8))/5). Let h be 6/m + (-37)/(-4). Determine p so that p**5 + 0*p**5 + h*p**3 - 10*p**3 = 0.
-1, 0, 1
Let d(k) = 6*k**4 - 8*k**3 + 2*k. Let n(y) = 7*y**4 - 9*y**3 - y**2 + 3*y. Let a(u) = -3*d(u) + 2*n(u). Factor a(z).
-2*z**2*(z - 1)*(2*z - 1)
Let x(k) = 3*k**4 - 11*k**3 + 14*k**2 - 4*k + 4. Let t(p) = 21*p**4 - 78*p**3 + 99*p**2 - 27*p + 27. Let a(y) = 4*t(y) - 27*x(y). Factor a(j).
3*j**2*(j - 3)*(j - 2)
Let p(i) be the first derivative of -2 + 0*i**3 - 1/8*i**4 + 0*i + 0*i**2 + 1/10*i**5. Let p(z) = 0. What is z?
0, 1
Suppose 4*d + 2*c - 18 = 0, 2*c + 8 + 37 = 5*d. Let h = d + -5. Find f such that -h*f + f**2 - f**2 + 2*f**2 = 0.
0, 1
Factor -27*i**2 - 486*i**3 - 3 - 8 - 1 + 84*i.
-3*(2*i + 1)*(9*i - 2)**2
Let d(f) be the first derivative of 0*f**2 + 1 + 0*f - 1/15*f**3. What is t in d(t) = 0?
0
Let r = 1 + -3. Let t be 5/((-20)/(-9)) + r. Factor 0*i**2 + 0 - 1/4*i**5 + 0*i + t*i**4 + 0*i**3.
-i**4*(i - 1)/4
Let z(h) = h + 2. Let p be z(-5). Let t be 0*(1 - p/(-6)). Factor -2/5*k**2 + 0 + 2/5*k**3 + t*k.
2*k**2*(k - 1)/5
Factor 0 - 4/5*h**4 + 8/5*h**3 + 4/5*h**2 - 8/5*h.
-4*h*(h - 2)*(h - 1)*(h + 1)/5
Let s(m) be the first derivative of 6 + 2*m**2 + 0*m**3 + 8/3*m - 1/3*m**4. Factor s(z).
-4*(z - 2)*(z + 1)**2/3
Let k(q) be the first derivative of -1/10*q**4 + 4 - 4/9*q**3 + 16/15*q - 4/15*q**2. Find y, given that k(y) = 0.
-2, 2/3
Suppose 10 = 4*q - 2*c, -1 = -q - 3*c - 2. Let 6*k**3 - 4*k**4 + q*k - 4*k**2 + 0*k**2 + 2*k**4 - 2*k**2 = 0. Calculate k.
0, 1
Suppose 0 = 4*m + 2*w - 5 - 1, -4*m = w - 9. Let -1/2*i + 0*i**2 + 0 + i**m + 0*i**4 - 1/2*i**5 = 0. Calculate i.
-1, 0, 1
Let d(z) be the first derivative of 3*z**5/5 + 3*z**4/2 + z**3 + 3. Factor d(f).
3*f**2*(f + 1)**2
Let z be 6*(1 + 6/(-18)). Determine b so that 10/3*b - 4/3*b**2 - 2/3*b**5 + 8/3*b**z - 8/3*b**3 - 4/3 = 0.
-1, 1, 2
Find i such that 6/5 - 9/5*i + 0*i**2 + 3/5*i**3 = 0.
-2, 1
Let x(q) be the second derivative of -q**7/70 - 3*q**6/25 - 9*q**5/50 + 4*q**4/5 + 3*q**3/2 - 27*q**2/5 + q + 1. Find y such that x(y) = 0.
-3, -2, 1
Let k(t) be the first derivative of -t**4/20 + 2*t**3/15 - t**2/10 - 4. Suppose k(z) = 0. What is z?
0, 1
Let j(m) = -7*m + 10. Let u be j(4). Let w be ((-9)/u)/((-10)/(-8)). Factor -4/5*p**2 + w*p + 2/5*p**4 - 4/5*p**3 + 2/5 + 2/5*p**5.
2*(p - 1)**2*(p + 1)**3/5
Let a(r) be the first derivative of 1/3*r**6 + 9*r**4 + 0*r**3 - 27*r**2 + 0*r - 16/5*r**5 - 1. Factor a(q).
2*q*(q - 3)**3*(q + 1)
Let t(b) be the second derivative of -b**4/4 + 5*b**3/2 - 6*b**2 - 14*b. Determine v, given that t(v) = 0.
1, 4
Let d(c | {
"pile_set_name": "DM Mathematics"
} |
104 for z.
-4
Solve 165301*g - 5*i = 165304*g - 6, 0 = -2*g + 4*i + 4 for g.
2
Solve 3*v - 8*i = -431*i + 861, 0 = -3*v - i + 17 for v.
5
Solve 85049 = 5*f - 4*b + 85035, 70 = 13*f - 2*b for f.
6
Solve -9*h - 5*h - 79 = -18*h + 5*a, -372 = -2*h + 20*a for h.
-4
Solve -t - 21*c + 45 = 3*t, 40*c - 36*c + 8 = 64*t - 62*t - 0 for t.
6
Solve -3*a - 2*d - 170 = -198, -d + 8 = 0 for a.
4
Solve -4*u = -3*t - 65, -37 = -11*u + 13*t - 10*t + 126 for u.
14
Solve -5*r = -z + 26, -2*r = -7462*z + 7457*z + 107 for z.
21
Solve 81*g - 104*g - 5*m - 187 = 0, 11 - 54 = 3*g - 4*m for g.
-9
Solve 0 = p, 16498*r + 3*p + 290 = 16556*r for r.
5
Solve -15*c + 122 = 63*t - 11*c, -3*c = 5*t - 7 for t.
2
Solve 3*o + 2*h + 2 = 0, -516*h + 518*h + 10 = -5*o for o.
-4
Solve w + 2412*s = 1206*s + 1208*s - 5, 9*w = 2*s - 29 for w.
-3
Solve 0 = 5*n + 23*b - 131, -2*n - 7 + 30 = -5*b - 1 for n.
17
Solve -7*v + 12280*n - 12276*n = -51, 3*v + 80*n + 877 = 0 for v.
1
Solve -4*z = -24*p - 32, p - 2*z - z + 2424 = -0*z + 2417 for p.
-1
Solve 334 = 4*a - 13*b, -13*a = -29*a + 14*a - 2*b - 54 for a.
-1
Solve 2*w = -2*w - 8, -108*w - 12 + 9 = -5*f - 103*w - 143 for f.
-30
Solve 2*w + 3*i = 34, -5*w + 167*i - 41 = 164*i for w.
-1
Solve 0 = -6*o + 3*p - 8014 + 8233, -39 = -o + p for o.
34
Solve 5*p - 3*m = -0*m - 7, -m = -4*p - 14120 + 14113 for p.
-2
Solve 465*g = -5*w - 469*g + 931*g + 31, 0 = 27*w - 2*g - 222 for w.
8
Solve 12*z - 10*z = -3*v - 3 - 1, 3*z + 13*v = -0*z + 11 for z.
-5
Solve -5*w - 8 = -2*n, -5*w = 9*n + 14051 - 14142 for n.
9
Solve 2*m + 20 = 5*r, -r - 3407 = -2*m - 6807 + 3404 for m.
5
Solve p + v + 4 = 4*p, 2*v + 5 + 9 = -3*p + 6 for p.
0
Solve -14*p = -4*i + 7 + 10 + 5, 56*p - 61*p + 15 = 0 for i.
16
Solve 0 = 3*u + 5*n - 188, 3*n - 104 = -3*u - 25 + 35 for u.
1
Solve -30030*r - 30 = -2*z - 30029*r, -4*r - 67 = -34*z + 105 for z.
2
Solve 15*r - 22 = -z, 45*r - 5*r - 39*r + 0*z + 3*z = 22 for r.
1
Solve -z + 2258*h - 154 = 2233*h, -5*z + h = 26 for z.
-4
Solve 4*p - 363 + 257 = -10*r + 8*r, -5*p = -5*r - 170 for p.
29
Solve 6*n - 9*n - k - k = -0*n - 90, -11*n = 6*k - 270 for n.
0
Solve -2*u = 2*i - 2189 + 2179, 3*i - 8*u + 5*u + 105 = 9*u for i.
-3
Solve -5*r = -2*t - 78, 3*r + 6*t - 2*t = -3 + 29 for r.
14
Solve -4*u + 101 - 21 = 565020*c - 565024*c, 4*c = u - 32 for u.
16
Solve -2*f + 3*j = -5, 89*j + 8 = 9*f + 88*j - 27 for f.
4
Solve 563*t = -23*v + 564*t + 364, 5*t - 46 - 6 = -2*v for v.
16
Solve -l - 6 = 5*d + 18 - 1, -24*l - 201 = -7*d - 15*d + 25*d for l.
-8
Solve -5*c + 148*l - 8845 = -1721, -4*l + 200 = -2*c for c.
-4
Solve -4*k + 25 = 5*q - 54, -15*k = -3*q - 4*k - 234 for q.
-1
Solve y + 703*d - 702*d = 18, 0 = -5*y + 5*d + 50 for y.
14
Solve 2*k = 35036*a - 35041*a + 76, 0*k - 2*k + 2*a = 36 for k.
-2
Solve 4290 = -5*t + 4385, 3*u + 5*t = 89 for u.
-2
Solve -2*z + 14 = -4*j + 4, 359*z - 360*z + 162*j - 185*j - 95 = 0 for z.
-3
Solve -6*t = 2*i, -8458080*t + 60 = 5*i - 8458085*t for i.
9
Solve -4*u - 139*w = -81*w - 59*w - 15, 3*w = 4*u - 37 for u.
1
Solve -2*m + 5*a + 13 + 13 = a - 6*a, -3*m + 5*m + 3*a = 13 for m.
8
Solve u + 34 = -4*u + w - 29, -3*u - w - 33 = 0 for u.
-12
Solve -3*o - 8*q = 6313 - 6333, 5*o = -3*q + 54 for o.
12
Solve -3*o - 90*w = -86*w - 3, -4*o - 5*w + 2 = -2 for o.
1
Solve 0 = 5*r - 5*k + 25, -r - 8 - 27 = 5*k for r.
-10
Solve 7*u - 389*z + 384*z + 107 = 0, -u = -5*z + 11 for u.
-16
Solve 2*n = -449*k + 445*k + 14*n - 512, 3*n - 118 = -k for k.
-5
Solve 4*l - 9 = b, -23*l + 596*b - 595*b = 29 for l.
-2
Solve -60*l + 55*l - 38*m - 10 = 0, -7*l + 4*m - 19 = -5 for l.
-2
Solve 491*b - 9 - 3 = 245*b + 244*b, 0 = g - 5*b + 32 for g.
-2
Solve 3*m - a = -15, 149*m - 76*m + 150 = 74*m - 52*a for m.
-6
Solve g + g = -4*b - 50, -g - 5*g + 2*b + 51406 = 51346 for g.
5
Solve -9*w - t = -7*w + 2, -6*w + 7*w - t + 7 = 0 for w.
-3
Solve 1846*s - 1843*s = -6*g + 111, -5*s - 2*g + 49 = 0 for s.
3
Solve 4*o = 3*f + 380, -7448 = 2*f + o - 7532 for f.
-4
Solve -2*k - 70 = -4*m, -4147*k = -4154*k - 5*m + 40 for k.
-5
Solve -t + 5*c = -10, -3*t - 3*c - 10 = 14 for t.
-5
Solve 1 = 2*c - 7*c - 12*r + 10*r - 13, 0 = 2*c + 5*r + 14 for c.
-2
Solve -14967*k + 9*t - 23 = -14968*k, 4*k - 30 = -5*t for k.
5
Solve 4*g = -3*x - 126, -2*x + 3*g = -71 - 32 for x.
2
Solve 369*d + 12*t + 2 - 17 = 374*d + 2*t, -2*d = 2*t - 18 for d.
5
Solve -w = 3*d + 79, -5*d + 2*w + 368 = -3*d + 226 for d.
-2
Solve n - 5*q = 0, 189*n + 9*q - q = -12*n + 6*q - 1007 for n.
-5
Solve o - 4*n + 66 = 0, 2*o - 3536630*n + 3536635*n - 76 = 0 for o.
-2
Solve 6*p - 6*t - 78 = 0, 15*p = -13*p + 31*p - 2*t - 42 for p.
16
Solve 2*y - 33*b + 170*b = 279*b - 720, 10 = -3*y - b for y.
-5
Solve -4*k + d + 4*d = 40, -123*k + 181*k + 274 = -4*d for k.
-5
Solve -v = 6*m + 37, -v - 99 = 6*m - 3*m - 74 for m.
-4
Solve -4*j + 40*f = 39*f - 14, 3*f - 888 = -918 for j.
1
Solve -u - 311*f + 517*f + 143 = 243*f, -5*u + 2*f - 33 = 0 for u.
-5
Solve 25 = -4*y - 3*g, -9*g + 12 - 36 + 1 = -2*y - 4 for y.
-4
Solve -50*i + 576 - 326 = 0, 0 = -3*u - i + 65 for u.
20
Solve k - 4*x - 106 + 208 - 99 = 0, -2*k - 3*x + 16 = 0 for k.
5
Solve -14*d + 5*l - 103 = -18*d, -l - 217 = -8*d for d.
27
Solve 3*z - 5*n + 21 = 0, -4*z - 3162998*n = -3163002*n + 20 for z.
-2
Solve 0 = 11*d + 5*c + 34, 256*c - 260*c = 2*d for d.
-4
Solve -50 = -3*g - 2*l, -168*l - 54 = -57*g + 52*g - 170*l for g.
2
Solve -4*r + 96*a - 64 = r + 99*a, -a = 41*r + 454 for r.
-11
Solve 5*h + 305 = -10*o, -181*h + 178*h + 1 - 44 = o for h.
-5
Solve 4*n + 286 = 5*y, 4060282*y - n = 4060283*y - 50 for y.
54
Solve -681*f + 339*f + 346*f - 34 = -10*s, 0 = s + 3*s + 12 for f.
16
Solve 3027*i = 3031*i + 12, 31 = -4*l - 0*l - 5*i for l.
-4
Solve -2*z + 24 = f, 158*z - 160*z + 100*f = 1390 for z.
5
Solve 0 = 29*o - 9*u - 14, 95*o - 3*u - 1 = 189*o - 90*o + 31 for o.
-2
Solve -216*m = -110*m - 103*m + 4*v + 289, -m + 385 = -5*v for m.
5
Solve -2*c - 43 = 22*k + 9 - 0, -3*c = k - 0*k + 14 for c.
-4
Solve z - 10 = -2*s, -52*z = 3*s + 27 + 86 - 27 for s.
6
Solve -4*v + z + z - 108 = 0, 5*v + 176 = 5*z + 36 for v.
-26
Solve 8*n - 4*n + 5*l - 13612 + 13417 = 0, -172 = -4*l for n.
-5
Solve -22*c + 18*c + 20 = 32*d - 36*d, 0 - 3 = -3*d - 3*c for d.
-2
Solve 3*p + 128 = -8*d, -2*d - 7 = d + 2526*p - 2529*p + 41 for d.
-16
Solve -15*o - 58 + 13 = 0, -o - 6 = f + 3*o + 3 for f.
3
Solve 0 = -2*g - 2439 + 2441, -5*r + 2*g = 162 for r.
-32
Solve 4*q = p + 32, 1796*p - 7 - 16 = 1800*p + 5*q for p.
-12
Solve 8*p - 4*p + 3 = g, 48*p - 25 = -3*g + 52*p for g.
11
Solve 46*w - 41*w + 85 = 3*o, 0 = 4*w - 5*o + 120 for w.
-5
Solve -324180 = -n + 8*a - 324211, -3*n - 3*a + 14 = -n for n.
1
Solve -10 + 35 = -5*i + 10*i, 22*t + 65 - 92 = -i for t.
1
Solve -66*m + 6 = -66*m - 5*v + 3*v, 44 = -5*m - 13*v for m.
-1
Solve f + 16 = -3*h - 0*f - 10, -13*f + 14*f = -14 for h.
-4
Solve 0 = 22165*s - 22166*s - 4*x - 8, -4*x = 3*s + 24 for s.
-8
Solve -2*o = 324*j - 168*j - 159*j - 11, -4*j - 8 = -o for j.
-1
Solve 0 = 2*u + 2*o + 2, -131*o + 6 = 20*u - 85*o for u.
-2
Solve 4*t = -2*l + 5*l + 54, t + 744 - 1104 = 20*l for l.
-18
Solve -6*i = -12*z + i + 119, 318*z - 319*z + 5*i + 32 = 0 for z.
7
Solve -7*l + 8*l + a + 10 = 0, 6*l - 9*l - 37 = 4*a for l.
-3
Solve -2*s = -5*k + 26, -14*s + 11*k = 8*k + 7*k + 195 - 13 for s.
-13
Solve 0*c - c + 5 + 0 = -88*g + 89*g, -c = -2*g - 17 for g.
-4
Solve m + 131540 = -4*g + 131558, -14 = 3*m - 5*g for m.
2
Solve -92*f + 2198*u = 2202*u + 460, -2*f - 6*u - 10 = -2*u for f.
-5
Solve -2*w - 4*m = -185 + 75, 9*m - 145 = -w + 106 for w.
-1
Solve -5*q + 4723 = 4*t + 4725, -5*q = -8*t - 34 for q.
2
Solve 2*a - 2*n = -2873 + 2883, 0 = -3*n - 21 for a.
-2
Solve 39 = -4*w + 8*s - 9*s, 5*s + 236 = -5*w - 4 for w.
3
Solve 3*o = 0, -a + 927*o - 11 = 929*o for a.
-11
Solve -3630*q + 3629*q - 113 = 10*g, -213 = 18*g + 5*q for g.
-11
Solve 7*u = -21, 3*g + 2*u - 141 + 165 = -u for g.
-5
Solve 0 = -m + 4*m - g - 14, 14*g = -209*m + 109*m + 102*m - 36 for m.
4
Solve -6 = -2*s + c, 20*s - 16*s - 14*c = 7*s + 53 for s.
1
Solve 2 = 4*v - 2*d + 6, 67*d - 84 = -3*v + 83*d for v.
-4
Solve 37*z - 33*z - 13 - 15 = -2*b, -4 = b + 8*z for b.
20
Solve -2*i - 6 = -15 - 29, 61 = 2*b - 6*b + 3*i for b.
-1
Solve -9*k = -419*m + 414*m - 18, 0 = 2*m for k.
2
Solve 0 = 2*l - a - 30, -52 | {
"pile_set_name": "DM Mathematics"
} |
-1ac (base 15) to base 6.
-1443
Convert 2375 (base 8) to base 15.
5a2
12763 (base 8) to base 16
15f3
What is 7e65 (base 15) in base 8?
64366
-110220 (base 3) to base 7
-1005
Convert 414320 (base 5) to base 2.
11010110001110
1656 (base 10) to base 11
1276
What is -1770 (base 12) in base 13?
-138c
What is 306 (base 12) in base 14?
234
What is -412 (base 15) in base 11?
-764
What is -288 (base 9) in base 6?
-1042
What is -340 (base 15) in base 2?
-1011011111
28a5 (base 16) to base 4
2202211
1260 (base 7) to base 12
343
-9644 (base 13) to base 16
-516b
What is -22110010 (base 3) in base 2?
-1100000001111
What is -1007 (base 9) in base 6?
-3224
Convert -3212 (base 4) to base 11.
-19a
Convert -1103330 (base 5) to base 15.
-5a60
What is -758 (base 13) in base 5?
-20011
-2940 (base 16) to base 13
-4a64
-20012202 (base 3) to base 2
-1000110110001
Convert 60372 (base 8) to base 10.
24826
-1211012 (base 3) to base 10
-1328
Convert -50253 (base 9) to base 10.
-33015
-131b7 (base 14) to base 6
-1001341
What is -101 (base 2) in base 7?
-5
-13461 (base 7) to base 6
-24553
Convert c9 (base 15) to base 3.
21000
-343 (base 16) to base 8
-1503
Convert -7490 (base 10) to base 14.
-2a30
What is 2121220 (base 3) in base 12?
1136
9597 (base 12) to base 7
65530
What is 1011000001101111 (base 2) in base 10?
45167
Convert 23881 (base 10) to base 7.
126424
What is -21a (base 11) in base 5?
-2023
Convert -1145441 (base 6) to base 13.
-2191c
Convert 12032 (base 5) to base 12.
624
5585 (base 14) to base 6
152333
Convert 4a96 (base 13) to base 10.
10601
Convert -14394 (base 12) to base 11.
-1a1aa
Convert 2423201 (base 5) to base 8.
130562
21650 (base 12) to base 8
126134
What is 452 (base 7) in base 2?
11101001
Convert -10010 (base 3) to base 12.
-70
-306 (base 12) to base 13
-279
Convert 3131 (base 12) to base 8.
12365
Convert 4a98 (base 13) to base 9.
15481
What is c9 (base 14) in base 2?
10110001
What is -791 (base 10) in base 3?
-1002022
What is -8693 (base 11) in base 7?
-45313
What is -22102 (base 6) in base 2?
-101111110110
-34b8 (base 12) to base 6
-43152
-1000011 (base 3) to base 12
-511
Convert 1a28 (base 16) to base 5.
203241
Convert -1242 (base 7) to base 6.
-2103
224 (base 15) to base 2
111100100
1164 (base 16) to base 5
120302
What is -2901 (base 11) in base 13?
-1928
What is -2653 (base 7) in base 8?
-1772
Convert 220 (base 12) to base 5.
2222
-21032 (base 8) to base 2
-10001000011010
3656 (base 10) to base 14
1492
Convert -1353 (base 7) to base 11.
-440
What is -1ba0 (base 12) in base 9?
-4633
Convert 28924 (base 13) to base 4.
102213121
-2220210002 (base 3) to base 7
-326303
What is c9 (base 16) in base 3?
21110
What is 10132 (base 6) in base 11?
101a
-6a79 (base 12) to base 3
-121022210
What is -127472 (base 9) in base 4?
-102331133
-34230 (base 8) to base 5
-430423
What is 1b9 (base 13) in base 7?
636
Convert 2f2 (base 16) to base 2.
1011110010
Convert 1101100100 (base 2) to base 6.
4004
-4447 (base 15) to base 13
-677b
44222 (base 5) to base 9
4172
Convert 20951 (base 10) to base 3.
1001201222
110b (base 16) to base 7
15502
-125251 (base 6) to base 4
-2310133
Convert aa7 (base 13) to base 10.
1827
-4534 (base 6) to base 11
-88a
5514 (base 8) to base 9
3863
Convert 12301 (base 5) to base 12.
673
What is -349c (base 14) in base 12?
-536a
Convert 151152 (base 6) to base 4.
3203030
Convert -65420 (base 7) to base 2.
-11111111001011
Convert 2847 (base 9) to base 7.
6160
What is 3bc (base 16) in base 5?
12311
-33414 (base 6) to base 2
-1001001010010
What is 962 (base 10) in base 12?
682
-101101111111100 (base 2) to base 11
-16768
Convert 700 (base 11) to base 10.
847
Convert 1000011 (base 3) to base 4.
23131
43233 (base 5) to base 12
1853
11131213 (base 4) to base 6
251331
What is -3327 (base 13) in base 2?
-1101111011011
Convert -23010 (base 8) to base 6.
-113024
Convert 4017 (base 11) to base 4.
1103132
166 (base 11) to base 7
364
Convert -31110 (base 5) to base 14.
-a50
Convert -465 (base 7) to base 4.
-3303
Convert -647 (base 14) to base 3.
-1200220
Convert 18c4 (base 13) to base 12.
2191
Convert -d9 (base 16) to base 7.
-430
Convert -455 (base 11) to base 9.
-664
What is -351 (base 8) in base 3?
-22122
15a3 (base 15) to base 4
1020231
What is 11010010100 (base 2) in base 8?
3224
31203 (base 6) to base 2
1000001010011
-31 (base 11) to base 7
-46
What is 8e8 (base 16) in base 2?
100011101000
-15b9 (base 14) to base 4
-330233
Convert -4300422 (base 5) to base 13.
-269c6
Convert 173 (base 16) to base 13.
227
Convert 151 (base 7) to base 5.
320
What is -12004 (base 5) in base 11?
-72a
1a6 (base 13) to base 3
102022
Convert -1010111000101100 (base 2) to base 15.
-d328
Convert 141c (base 14) to base 12.
2082
a61 (base 13) to base 15
7ce
Convert 10411 (base 5) to base 15.
33b
-110001000110011 (base 2) to base 16
-6233
33012 (base 5) to base 14
b73
-57aa (base 15) to base 3
-221112021
-1d (base 16) to base 5
-104
What is -2501 (base 11) in base 8?
-6304
Convert -24166 (base 9) to base 8.
-37463
-133212 (base 4) to base 2
-11111100110
Convert -37d8 (base 15) to base 8.
-27177
Convert 4551 (base 9) to base 14.
1327
Convert -c12 (base 15) to base 3.
-10201122
Convert 1427 (base 14) to base 16.
deb
287a (base 11) to base 12
2199
What is 143 (base 16) in base 8?
503
51332 (base 6) to base 7
25616
-612 (base 16) to base 7
-4350
What is -130 (base 5) in base 6?
-104
-1011102 (base 3) to base 8
-1520
Convert -3ab2 (base 14) to base 13.
-4930
1010010000100001 (base 2) to base 15
c6b2
What is -10011111111011 (base 2) in base 12?
-5b0b
-625 (base 15) to base 13
-827
1001110000 (base 2) to base 13
390
What is 129b (base 12) in base 2?
100001010111
-113013 (base 6) to base 5
-302404
Convert 998 (base 16) to base 3.
10100222
Convert 181 (base 16) to base 5.
3020
10010010110011 (base 2) to base 5
300040
22620 (base 8) to base 6
112304
What is -111011011100111 (base 2) in base 13?
-10b16
10201 (base 4) to base 8
441
What is -66 (base 14) in base 5?
-330
What is -100001001000 (base 2) in base 6?
-13452
What is 374 (base 11) in base 13?
282
-3548 (base 13) to base 5
-214441
What is 1f4 (base 16) in base 12?
358
-331123 (base 5) to base 13
-526c
-376 (base 9) to base 16
-138
What is 15d85 (base 15) in base 8?
211626
What is 193 (base 14) in base 3?
110001
Convert 40440 (base 10) to base 16.
9df8
Convert -3211 (base 4) to base 6.
-1021
Convert -10241442 (base 5) to base 12.
-42502
-661 (base 8) to base 4
-12301
What is -424 (base 12) in base 11?
-4aa
What is 1036 (base 7) in base 5?
2440
1012221 (base 3) to base 9
1187
Convert -101111 (base 4) to base 13.
-674
-10100110010101 (base 2) to base 4
-2212111
What is -21b (base 15) in base 3?
-122122
Convert -143b8 (base 13) to base 8.
-112167
What is -11111101000 (base 2) in base 11?
-1580
What is 20b1 (base 13) in base 12?
2762
Convert -21241 (base 6) to base 13.
-1426
1511 (base 6) to base 12
297
-11506 (base 10) to base 9
-16704
What is 6483 (base 13) in base 11?
a546
What is 6035 (base 7) in base 16?
824
What is 80 (base 12) in base 11?
88
Convert -72cb (base 15) to base 6.
-304202
Convert 24161 (base 9) to base 13.
7492
2e26 (base 15) to base 3
111122000
What is 15b7 (base 15) in base 8?
11100
Convert 1a80a (base 12) to base 7.
222136
Convert -3b2 (base 16) to base 7.
-2521
What is 2211 (base 4) in base 14?
bb
Convert 253 (base 7) to base 9.
161
-220200 (base 4) to base 9
-3500
What is 522 (base 7) in base 3?
100200
Convert -4074 (base 8) to base 13.
-c62
Convert 1d7 (base 15) to base 7.
1150
Convert 1348 (base 9) to base 4.
33320
220 (base 11) to base 8
410
Convert -543103 (base 6) to base 11.
-30693
What is 573 (base 9) in base 8?
727
12b3 (base 16) to base 7
16646
What is 1500 (base 16) in base 11?
4048
775 (base 9) to base 2
1001111011
Convert 61603 (base 9) to base 3.
2001200010
What is 2c2 (base 16) in base 10?
706
Convert -33825 (base 9) to base 12.
-11065
What is b315 (base 16) in base 3?
2022212222
Convert 33562 (base 7) to base 8.
20511
-26431 (base 10) to base 12
-13367
What is -110100110010 (base 2) in base 7?
-12564
11c6b (base 15) to base 3
2212220202
1128 (base 14) to base 9
4066
What is -dd1 (base 16) in base 8?
-6721
6555 (base 8) to base 13
1745
Convert 100010101110 (base 2) to base 6.
14142
100210121 (base 3) | {
"pile_set_name": "DM Mathematics"
} |
lylyyy. Give prob of sequence lyle.
7/520
Calculate prob of sequence uyy when three letters picked without replacement from yyyuyuyuyuuuu.
35/286
Calculate prob of sequence nn when two letters picked without replacement from rsssrsnnsssn.
1/22
Four letters picked without replacement from {s: 3, e: 3, w: 5}. Give prob of sequence wwes.
1/44
Two letters picked without replacement from {y: 1, h: 2, o: 4}. Give prob of sequence oy.
2/21
Calculate prob of sequence hz when two letters picked without replacement from hzhhhhhhzhhhh.
11/78
Two letters picked without replacement from {x: 5, g: 15}. Give prob of sequence xx.
1/19
Calculate prob of sequence km when two letters picked without replacement from {m: 2, d: 1, e: 1, n: 1, k: 2}.
2/21
Three letters picked without replacement from {r: 12, f: 3, x: 1}. Give prob of sequence rff.
3/140
What is prob of sequence bmb when three letters picked without replacement from bbmyy?
1/30
Three letters picked without replacement from vjvvjvvjjvvivv. What is prob of sequence jiv?
3/182
Three letters picked without replacement from crcrccrccxrrrxx. Give prob of sequence crc.
6/91
Two letters picked without replacement from {c: 5, u: 5}. Give prob of sequence uu.
2/9
What is prob of sequence fr when two letters picked without replacement from {e: 1, r: 1, k: 1, u: 1, f: 1, j: 2}?
1/42
What is prob of sequence fjrj when four letters picked without replacement from {r: 1, f: 1, j: 2}?
1/12
Three letters picked without replacement from {l: 9, h: 3}. Give prob of sequence lhl.
9/55
What is prob of sequence tt when two letters picked without replacement from tltlllll?
1/28
Calculate prob of sequence rmrr when four letters picked without replacement from {r: 19, m: 1}.
1/20
What is prob of sequence hf when two letters picked without replacement from {e: 3, p: 2, f: 1, h: 1}?
1/42
What is prob of sequence hhx when three letters picked without replacement from mmmxhxhhmmh?
4/165
Three letters picked without replacement from wwwqqwwqqww. What is prob of sequence wqq?
14/165
Calculate prob of sequence bp when two letters picked without replacement from {m: 2, p: 1, g: 3, q: 2, f: 5, b: 6}.
1/57
Calculate prob of sequence lsp when three letters picked without replacement from {x: 1, p: 5, l: 1, s: 12}.
10/969
Four letters picked without replacement from nhtoyzonoztoyyy. What is prob of sequence ntzo?
4/4095
Calculate prob of sequence woo when three letters picked without replacement from nwocononnno.
2/165
What is prob of sequence ssl when three letters picked without replacement from sssslssls?
1/6
Two letters picked without replacement from {i: 3, k: 11, w: 3, j: 1, c: 1}. Give prob of sequence ij.
1/114
Three letters picked without replacement from ydddygydsugsu. What is prob of sequence uyg?
1/143
Calculate prob of sequence jaz when three letters picked without replacement from {j: 5, h: 3, a: 1, y: 1, p: 4, z: 1}.
1/546
Three letters picked without replacement from {o: 3, u: 4}. Give prob of sequence uoo.
4/35
Four letters picked without replacement from {n: 2, f: 1, c: 2, w: 1, r: 2, m: 5}. What is prob of sequence mmcr?
2/429
Three letters picked without replacement from {k: 1, m: 2}. Give prob of sequence mkm.
1/3
Two letters picked without replacement from {n: 1, q: 3, t: 1, y: 1, j: 1}. What is prob of sequence jy?
1/42
Two letters picked without replacement from {e: 10, v: 2}. What is prob of sequence ve?
5/33
Three letters picked without replacement from kbbvbbbbbbvkdbbsbbkb. What is prob of sequence bvb?
13/285
Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm.
1
Four letters picked without replacement from {j: 1, t: 11, m: 2, k: 1, q: 1, l: 4}. Give prob of sequence kjlm.
1/14535
Calculate prob of sequence vuuj when four letters picked without replacement from jcckuevku.
1/1512
What is prob of sequence tce when three letters picked without replacement from {c: 2, t: 1, e: 1, f: 1}?
1/30
What is prob of sequence ywt when three letters picked without replacement from wytwwttynwwnytwnwy?
7/306
Three letters picked without replacement from {y: 4, e: 15}. Give prob of sequence yey.
10/323
Two letters picked without replacement from {x: 4, s: 3, d: 5, y: 5, t: 1}. What is prob of sequence xd?
10/153
What is prob of sequence ooc when three letters picked without replacement from {o: 4, l: 2, g: 1, c: 3}?
1/20
Two letters picked without replacement from {j: 6, o: 2, n: 4, i: 3, c: 1, w: 3}. What is prob of sequence co?
1/171
Two letters picked without replacement from jrxjxoooorrxjx. Give prob of sequence xo.
8/91
Two letters picked without replacement from xtoxoxotoxxxtmtmxmxx. Give prob of sequence xx.
18/95
Four letters picked without replacement from skteaettekakkttsks. Give prob of sequence ttae.
1/612
Calculate prob of sequence nns when three letters picked without replacement from {s: 4, n: 9, q: 2, o: 1}.
3/35
Four letters picked without replacement from uuubuuuuuuuubububbuu. What is prob of sequence bbuu?
35/969
Three letters picked without replacement from {o: 2, m: 9}. Give prob of sequence mom.
8/55
Two letters picked without replacement from miikss. Give prob of sequence im.
1/15
Calculate prob of sequence scss when four letters picked without replacement from {s: 3, c: 4}.
1/35
Four letters picked without replacement from znzzmomhnzhnnb. Give prob of sequence zzzm.
2/1001
Four letters picked without replacement from {x: 5, b: 1, v: 1, f: 2, h: 1}. What is prob of sequence xfxb?
1/126
Four letters picked without replacement from nniuiuiiuuuu. What is prob of sequence iuuu?
4/99
Three letters picked without replacement from {m: 3, p: 1, k: 2, f: 1, t: 3}. What is prob of sequence ttk?
1/60
What is prob of sequence vd when two letters picked without replacement from lldmdjdmmvmmvmldmvl?
2/57
Calculate prob of sequence hhch when four letters picked without replacement from cqnuncchhh.
1/280
What is prob of sequence xgex when four letters picked without replacement from eexeexlxxlellgegeel?
2/969
Four letters picked without replacement from zeezzeezeseqqese. Give prob of sequence qzqs.
1/2730
Two letters picked without replacement from {o: 2, k: 1}. What is prob of sequence ko?
1/3
Calculate prob of sequence vvxk when four letters picked without replacement from kxvvivkvnx.
1/105
Two letters picked without replacement from kjjjk. Give prob of sequence kk.
1/10
Three letters picked without replacement from {z: 1, x: 3}. Give prob of sequence zxx.
1/4
Calculate prob of sequence qu when two letters picked without replacement from {q: 4, i: 3, u: 11}.
22/153
Calculate prob of sequence cwww when four letters picked without replacement from cwwcaaaaawcaa.
3/2860
Three letters picked without replacement from xxqeeexonqdeqxqneexe. Give prob of sequence qqx.
1/114
Calculate prob of sequence vlvl when four letters picked without replacement from {v: 6, l: 4}.
1/14
What is prob of sequence tgqi when four letters picked without replacement from {q: 1, i: 1, t: 3, g: 2}?
1/140
What is prob of sequence xgex when four letters picked without replacement from egeegegxgggxeg?
5/1716
Calculate prob of sequence ggg when three letters picked without replacement from {g: 12, l: 1}.
10/13
Calculate prob of sequence zzzz when four letters picked without replacement from {g: 5, z: 11}.
33/182
Three letters picked without replacement from {o: 5, m: 7}. What is prob of sequence mmo?
7/44
Two letters picked without replacement from {g: 8, o: 2, m: 2, e: 1, f: 6, w: 1}. Give prob of sequence oe.
1/190
What is prob of sequence ay when two letters picked without replacement from mzzamqymampzyzmya?
9/272
Calculate prob of sequence ku when two letters picked without replacement from {u: 1, k: 2}.
1/3
What is prob of sequence qko when three letters picked without replacement from kkoooqqooqkqq?
25/572
Calculate prob of sequence nsk when three letters picked without replacement from mnksklm.
1/105
Four letters picked without replacement from {e: 5, h: 5}. What is prob of sequence ehhh?
5/84
Two letters picked without replacement from {w: 1, r: 2, s: 1, m: 1, z: 2, k: 1}. What is prob of sequence zr?
1/14
Two letters picked without replacement from {v: 4, r: 15}. What is prob of sequence rv?
10/57
What is prob | {
"pile_set_name": "DM Mathematics"
} |
*y + 20*y - 86*y + 24*y.
-8*y
Collect the terms in -228 + 457 - 18*y - 229.
-18*y
Collect the terms in -168*z + 260*z - 190*z.
-98*z
Collect the terms in 3 + 21*k + 21*k - 4 + 5.
42*k + 4
Collect the terms in 2351*p**3 + 1157*p**3 + 4320*p**3.
7828*p**3
Collect the terms in 464 - 1403 + 466 + 473 + 4*r.
4*r
Collect the terms in q**3 - 51 - 203 + 67.
q**3 - 187
Collect the terms in -1 - 23*k + 21*k - 15*k - 25*k + 17*k.
-25*k - 1
Collect the terms in -1 - 30*q + 66*q - 73*q + 3 - 151*q.
-188*q + 2
Collect the terms in -4*u**2 - u**2 + 2*u**2 + 15*u - 39*u.
-3*u**2 - 24*u
Collect the terms in 9*x - 14*x - 3 + 27*x + 9*x.
31*x - 3
Collect the terms in -b - 51 + 53 - 27*b - 5*b.
-33*b + 2
Collect the terms in -3299 + 167*c**3 + 1652 + 1648.
167*c**3 + 1
Collect the terms in -206*t + 356*t - 153*t.
-3*t
Collect the terms in -1804*u**2 + 9*u**3 - 6*u**3 - 7*u**3.
-4*u**3 - 1804*u**2
Collect the terms in -9*w - 40*w - 23*w + 133 - 67 - 68.
-72*w - 2
Collect the terms in -p + 9 - 326*p**3 + 4*p - 3*p.
-326*p**3 + 9
Collect the terms in -9*w + 21*w + 0*w + 19 + 26*w.
38*w + 19
Collect the terms in -22202 + 11107 + 11028 + 4*i.
4*i - 67
Collect the terms in 83*y**2 + 77*y**2 + 159*y**2 - 326*y**2.
-7*y**2
Collect the terms in -2*i**2 + 7*i**3 + 13*i**3 - 19*i**3 - 28.
i**3 - 2*i**2 - 28
Collect the terms in -1655*q - 1651*q - 1 + 4 + 3308*q.
2*q + 3
Collect the terms in 57*p + 153*p**2 - 29*p - 28*p.
153*p**2
Collect the terms in 22*j - 5*j - 14*j - 10*j - 2*j.
-9*j
Collect the terms in -30 + 14651*f + 91 - 14656*f.
-5*f + 61
Collect the terms in 194*n**2 - 38*n + 22*n + 16*n.
194*n**2
Collect the terms in -6 + 22 - 7 + 755*c - 9.
755*c
Collect the terms in 36*h - 223977 + 223977.
36*h
Collect the terms in 12*v + 15 + 2 + 3.
12*v + 20
Collect the terms in 538379 + 6*a - a - 538379.
5*a
Collect the terms in 61043*k**3 - 30447*k**3 - 30595*k**3.
k**3
Collect the terms in -342*c - c**2 - 193*c + 535*c.
-c**2
Collect the terms in 21 - 21 - 77*u**2.
-77*u**2
Collect the terms in 587*j**3 - 553*j**2 + 553*j**2.
587*j**3
Collect the terms in -555 + 17*s + 1107 - 552.
17*s
Collect the terms in 2403*l + 2377*l + 2379*l - 9529*l + 2372*l.
2*l
Collect the terms in 5 + 19*c**2 - 3*c**2 + 5 + 6*c**2.
22*c**2 + 10
Collect the terms in -885553*t**3 + 443060*t**3 + 442488*t**3.
-5*t**3
Collect the terms in 112*w**3 + 16*w - 45*w - 34*w**3 + 29*w.
78*w**3
Collect the terms in -4*f - 2*f + 101*f**3 + 6*f.
101*f**3
Collect the terms in 55*m**2 - 93*m**2 + 25*m**2 + 71*m**2.
58*m**2
Collect the terms in 11 - 4 - 6 - 5 - 2 + 3*c**3.
3*c**3 - 6
Collect the terms in -25341 + 3*c + 12660 + 12681.
3*c
Collect the terms in 3 + 3*a**2 + 3 - 27 + 27 - 6.
3*a**2
Collect the terms in 379 - 10*x - 379.
-10*x
Collect the terms in -5 - 826*n - 864*n + 2506*n - 2 - 866*n.
-50*n - 7
Collect the terms in 2839*n + 817*n + 458*n.
4114*n
Collect the terms in -18*q**2 + 7*q**2 - 18*q**2 + 18*q**2 - 26*q**2.
-37*q**2
Collect the terms in 155*h**3 - 211*h**3 + 178*h**3.
122*h**3
Collect the terms in 13 - 13 + 9098*v**2.
9098*v**2
Collect the terms in -1611*s**2 - 1638*s**2 + 3254*s**2.
5*s**2
Collect the terms in -153*j + 47*j - 166*j.
-272*j
Collect the terms in -39*u**3 + 160*u**3 - 43*u**3 - 36*u**3 - 26*u**3.
16*u**3
Collect the terms in -3*s**2 + 159 + 2*s**2 - 210 - 417.
-s**2 - 468
Collect the terms in -920*g**2 + 329*g**2 - 1528*g**2 - 3.
-2119*g**2 - 3
Collect the terms in -3*y**2 + 5*y**2 - 35 + 18 + 9 + 5 - 2*y**3.
-2*y**3 + 2*y**2 - 3
Collect the terms in 97 + 4*m - 4*m + 281 - m**2.
-m**2 + 378
Collect the terms in 13*s**3 + 15434*s - 15434*s - 11*s**3.
2*s**3
Collect the terms in -2120 + 333*p**3 + 2120.
333*p**3
Collect the terms in -1 - 1 + 3 - 6*c**2 - 23*c**2.
-29*c**2 + 1
Collect the terms in 493*g + 241*g + 236*g - 48*g.
922*g
Collect the terms in -460*d**2 + 604*d**2 - 143*d**2.
d**2
Collect the terms in 250*v**2 - 2*v + 374*v**2 + 3*v.
624*v**2 + v
Collect the terms in 6691766050*p**2 - p**3 + p**3 - 6691766050*p**2 + 2*p**3.
2*p**3
Collect the terms in 5*g**3 - g**3 - 3*g**3 - 3627*g + 3627*g - 3.
g**3 - 3
Collect the terms in -3*h - 38 - 65 - 2.
-3*h - 105
Collect the terms in 224*h**2 + 132*h**2 - 80*h**2.
276*h**2
Collect the terms in 287*j**2 - 396*j + 396*j.
287*j**2
Collect the terms in 313*j - 693*j + 332*j.
-48*j
Collect the terms in -100*d**2 - 169 - 11*d**2 + 332 - 163.
-111*d**2
Collect the terms in -472924*b + 2*b**2 - 472923*b + 945847*b.
2*b**2
Collect the terms in 3194*u**3 - 12777*u**3 + 3199*u**3 + 3186*u**3 + 3193*u**3.
-5*u**3
Collect the terms in -19*h**3 - 19*h**3 + 64*h**3 - 23*h**3.
3*h**3
Collect the terms in 13*r**2 - 1527 - 1530 + 3064.
13*r**2 + 7
Collect the terms in 32*k - 8*k + 19*k + 7*k + 26*k.
76*k
Collect the terms in -29556*q**3 + 59087*q**3 - 29912*q**3.
-381*q**3
Collect the terms in 43693*d**2 - 21797*d**2 - 21844*d**2.
52*d**2
Collect the terms in t**2 - 7*t**2 - 3*t**2 - 841*t + 121*t.
-9*t**2 - 720*t
Collect the terms in -71901711*r + 3*r**2 - 2 + 2 + 71901711*r.
3*r**2
Collect the terms in 1923283*k - 1923283*k + 4*k**2 - 5*k**2.
-k**2
Collect the terms in 0*j**3 - 2*j**3 + 3975 - 8*j**3 - 3975.
-10*j**3
Collect the terms in -443*q**3 + 56*q**2 + 454*q**3 - 56*q**2.
11*q**3
Collect the terms in 63 + 163 + 142 - 63 + 0*n**2 + n**2.
n**2 + 305
Collect the terms in 103 + 118 - 221 + 3*j**3 + j.
3*j**3 + j
Collect the terms in -2*q**3 - 163421*q + 163421*q - 19*q**3.
-21*q**3
Collect the terms in 60*l - 292*l + 458*l.
226*l
Collect the terms in 166*n - 8595*n**2 + 8609*n**2 - 166*n.
14*n**2
Collect the terms in 6085*c**2 + 6092*c**2 - 12195*c**2.
-18*c**2
Collect the terms in 2*b**2 + 12562 - 3*b**2 - 12353.
-b**2 + 209
Collect the terms in -t - 354 + 384 - 11*t - t**2.
-t**2 - 12*t + 30
Collect the terms in 137278*y**2 + 3 - 6 + 4.
137278*y**2 + 1
Collect the terms in -32*z + 1456939 - 1456939.
-32*z
Collect the terms in 369*m + 816*m + 156*m.
1341*m
Collect the terms in 4*s**2 - 6447*s - 5649*s + 529*s + 6*s**2.
10*s**2 - 11567*s
Collect the terms in 18420*o**2 - 14396*o**2 + 24352*o**2 + 5960*o**2.
34336*o**2
Collect the terms in 2167 + 30*a**2 - 2167.
30*a**2
Collect the terms in -13461*s**2 + 6735*s**2 + 6728*s**2.
2*s**2
Collect the terms in -1733*q**2 + 0*q - 5*q + 1738*q**2.
5*q**2 - 5*q
Collect the terms in -15*v + v**2 - 16*v - v + 7*v + 2*v.
v**2 - 23*v
Collect the terms in 34*w**3 + 41*w**3 + 37*w**3 - 110*w**3 + 93.
2*w**3 + 93
Collect the terms in -7*q + 1264 + 1260 - 5*q - 2524.
-12*q
Collect the terms in -985 + 985 + 247*l**3 - 31*l**3.
216*l**3
Collect the terms in -25*y - 10*y - 9*y - 65*y.
-109*y
Collect the terms in 8*z**3 - 15*z**3 - 17*z**3 + 6*z**3.
-18*z**3
Collect the terms in -9*m**3 - 2*m**3 - 2*m + 8*m**3 + 29*m - 27*m.
-3*m**3
Collect the terms in -2*x**2 - 15 + 39 - 20 - 20.
-2*x**2 - 16
Collect the terms in 12176*s**3 - 24359*s**3 + 12182*s**3.
-s**3
Collect the terms in -5*k - 194*k**2 + 4*k - 223*k.
-194*k**2 - 224*k
Collect the terms in 6*q - 137*q - 19*q + 26*q - 67*q.
-191*q
Collect the terms in -5*c**2 + 7*c**2 - 18*c**2 + 0*c**2 + c.
-16*c**2 + c
Collect the terms in -788*m**2 + 2369*m**2 - 770*m**2 - 806*m**2.
5*m**2
Collect the terms in -4851*u - u**2 + 3701*u + 10371*u.
-u**2 + 9221*u
Collect the terms in -256*w**2 + 194*w**2 + 553*w**2.
491*w**2
Collect the terms in 1 - 394*d**2 - 1 - 178*d**2 + d**2.
-571*d**2
Collect the terms in -74494*i**3 - 4*i**2 + 4*i**2.
-74494*i**3
Collect the terms in -36*k - 330*k**3 + 19*k + 331*k**3 + 17*k.
k**3
Collect the terms in 4304*r - 4304*r - 110*r**2 - 2 + 8*r**3.
8*r**3 - 110*r**2 - 2
Collect the terms in -159090*v**2 - 159121*v**2 + 318233*v**2.
22*v**2
Collect the terms in -11*n + 46*n + 5*n - 183.
40*n - 183
Collect the terms in -271 + 815 - 271 + 8*u - 273.
8*u
Collect the terms in 3975 - 1980 - 1995 + 5*v**3.
5*v**3
Collect the terms in -6940*s**2 - 6951*s**2 + 13913*s**2.
22*s**2
Collect the terms in 3*z**2 - 6*z**2 + 3*z**2 + 2106*z**3.
2106*z**3
Collect the terms in 229*h**2 + 169*h + 159*h - 328*h.
229*h**2
Collect the terms in 105*u**3 - 332*u**3 + 109*u**3 + 115*u**3 + 36*u.
-3*u**3 + 36*u
Collect the terms in 19*o - 692*o**2 - 19*o + 693*o**2.
o**2
Collect the terms in -74*u**2 + 213*u**2 - 72*u**2 - 73*u**2 - 26*u - 7*u.
-6*u**2 - 33*u
| {
"pile_set_name": "DM Mathematics"
} |
biggest value in 2, -2, -1112, 3/11, 2/7, -92?
-2
What is the smallest value in 281, -2, -3, 2/3, 26, -0.3?
-3
What is the fourth biggest value in 0.07, -58272, -13, 3?
-58272
Which is the smallest value? (a) -1/3 (b) 21/839 (c) -14 (d) -21 (e) -4
d
What is the smallest value in 0.1, -1/8, -12/29, -1/3, -4/9?
-4/9
Which is the second biggest value? (a) -5 (b) -61 (c) 414968/11
a
Which is the fifth biggest value? (a) 0.2 (b) -693/16 (c) 3/4 (d) 0 (e) -0.2 (f) 1.77 (g) -4
e
Which is the third biggest value? (a) 181 (b) -51 (c) -24
b
Which is the third biggest value? (a) -0.054 (b) -181 (c) 0.5 (d) 4 (e) -0.3
a
Which is the second biggest value? (a) -0.4 (b) -3/10 (c) -1010 (d) 20
b
What is the fourth smallest value in -6, 7, 491, 14/23?
491
Which is the third biggest value? (a) -4 (b) 55/12 (c) 328 (d) -4/9 (e) 4 (f) 1
e
What is the third biggest value in -1/2, -0.035, -2.95134, -0.1?
-1/2
Which is the third biggest value? (a) 2/79173 (b) -99/8 (c) 0
b
What is the fifth biggest value in -9/50, 0.1, -0.5, 482/15, 0.2?
-0.5
Which is the third biggest value? (a) 1/8 (b) -3/2 (c) -0.5 (d) 1 (e) -0.4 (f) 0.69114 (g) 3
f
What is the fifth smallest value in 254.7, -0.5, 5, 2, 1/330?
254.7
Which is the second smallest value? (a) -0.5 (b) 1.6 (c) 7 (d) 20 (e) -0.013
e
Which is the fourth biggest value? (a) -2/5 (b) -67 (c) 0.3287 (d) 43
b
What is the third smallest value in -2/3, 0.5, -0.09, -0.03, 9, -1/3, -0.079?
-0.09
Which is the biggest value? (a) -633 (b) -2.2 (c) 5 (d) -82 (e) -5
c
What is the second biggest value in 1067735, -3, 3?
3
Which is the third biggest value? (a) -1603 (b) -38 (c) -14 (d) -2
b
Which is the second biggest value? (a) -23313954 (b) 3/7 (c) 0.05
c
Which is the second smallest value? (a) -5 (b) -1070 (c) -1.862 (d) 0
a
Which is the biggest value? (a) 6 (b) 1 (c) -78 (d) 140 (e) 29/3 (f) 0.3
d
What is the third smallest value in 456.6, 0, 0.1, 3/13, -4/15, -0.1?
0
What is the second biggest value in 50, 957.3, 4/3, 3?
50
Which is the third biggest value? (a) -4 (b) -956/85 (c) -5 (d) 4
c
What is the fourth smallest value in 3, -1049, 0, -5, -0.3, 0.13?
0
Which is the fifth smallest value? (a) -1010555 (b) 0 (c) -0.5 (d) 0.1 (e) 6 (f) 5
f
Which is the fifth biggest value? (a) -22 (b) -5 (c) 0.043 (d) 3 (e) 6 (f) 16
b
What is the fourth smallest value in -33898, -1, 10/7, -4?
10/7
What is the sixth smallest value in -2, 0, 3, -1/8, 1/6, -295.39?
3
What is the second biggest value in -6121, 2/43, -2, 6/73?
2/43
Which is the seventh smallest value? (a) 233 (b) -1/3 (c) 3 (d) -5 (e) -25.8 (f) 1 (g) -242
a
Which is the biggest value? (a) -2 (b) -9 (c) -0.4 (d) 0.09 (e) -4 (f) 2 (g) 0.23
f
What is the sixth smallest value in 0.2, 5, 207, -4/9, 13.3, 2/135, 0.5?
13.3
What is the second smallest value in 95/21, 0.3, 1/739?
0.3
Which is the third smallest value? (a) 4 (b) -6 (c) -10 (d) 30 (e) 2.8 (f) -0.07 (g) -2
g
What is the second biggest value in -38, 2125, -3552?
-38
Which is the fourth biggest value? (a) 820/23 (b) 1 (c) -2/7 (d) 3 (e) -1/4
e
Which is the third biggest value? (a) -0.1 (b) -5 (c) -0.04 (d) 10 (e) -34 (f) 8 (g) -7
c
What is the fourth smallest value in 10, 8.9, -2/17, -455, -0.5?
8.9
What is the sixth smallest value in -121, 4/7, 1, -6/5, -1/127, -5?
1
What is the sixth biggest value in -0.5, -52.53, -0.2, -22, -10, -1, -0.3?
-22
Which is the fourth biggest value? (a) 3/10 (b) -2 (c) -1 (d) 20508
b
What is the third smallest value in 2/345, 13.476, 6?
13.476
What is the fourth smallest value in -127, 2.23, 3, 3/5, -2/5, 6/7?
6/7
Which is the third smallest value? (a) -2/11 (b) 3 (c) -0.3087 (d) 14 (e) 2/3
e
Which is the third smallest value? (a) 0.09 (b) 0.4 (c) 2179 (d) 0 (e) 2.5 (f) -0.3
a
What is the fifth smallest value in 26, -1, 1/12, 570, 0.5?
570
What is the fifth smallest value in 36, 3, -0.3, 0.2, 0.08, 6/11, 10?
3
What is the fourth smallest value in -0.0961, 5, -11, -17?
5
What is the biggest value in -1/2, 7999, 995/9?
7999
Which is the second smallest value? (a) -3/7 (b) 82/7 (c) 3/10 (d) 0.1139 (e) -1 (f) 0.2
a
What is the fourth biggest value in 3, -2/3, -0.5, -1/4, -4/9, -175?
-0.5
What is the second smallest value in 3, -4, 0.4, -16011421?
-4
Which is the biggest value? (a) 141824 (b) -8.3 (c) 27
a
What is the fourth biggest value in 2/5, -3/4, 1, 0.0808, -15, 2/21?
0.0808
What is the biggest value in -63/11, 44245/6, 2/11?
44245/6
What is the seventh biggest value in 0, 19, -1, -20/87, 4, -0.34, -3/2?
-3/2
What is the second smallest value in 5, 17769812, 0.1, -3/5?
0.1
What is the third biggest value in 750, 17, 2361?
17
What is the third smallest value in -5, 4, -279644, 1/335?
1/335
Which is the third biggest value? (a) 1/7 (b) -921/10 (c) -24
b
Which is the third biggest value? (a) 4 (b) -0.31 (c) 0.25 (d) -12856
b
Which is the fourth smallest value? (a) 0.1 (b) 14.918 (c) 3 (d) 2 (e) -2 (f) -0.1
d
What is the fourth smallest value in 1/3, 5, 3707, -5, -0.1?
5
Which is the second smallest value? (a) -2/9 (b) 95316 (c) -4 (d) -1/3
d
Which is the fifth biggest value? (a) 14 (b) 8/5 (c) 2 (d) -3/19 (e) 25 (f) 2.2
b
What is the second biggest value in -315/13, -1/10, 2238?
-1/10
Which is the third biggest value? (a) -0.2 (b) -3/2 (c) 5 (d) -2320273 (e) -4
b
What is the fifth biggest value in 5/16, 6, -2/11, -17, -1/2, 0.12, 0.06?
-2/11
Which is the smallest value? (a) 2 (b) -0.0483 (c) 2/9 (d) 24
b
What is the smallest value in -2/7, 561, -5, 27, -3, 1/4?
-5
Which is the third smallest value? (a) 36907 (b) 2/8907 (c) 0.2
a
Which is the sixth biggest value? (a) -15 (b) -2/3 (c) 0.2 (d) 2/45 (e) 3 (f) -2 (g) -17
a
What is the fourth smallest value in 18, 1, 31, -2, 77?
31
What is the third biggest value in 131, -33, 23/15?
-33
What is the smallest value in -4, 1.1, 5, 6327, 2, 0.14?
-4
What is the biggest value in 0.01, 2/3, -95, 5, 0.2, -7, -0.19?
5
What is the fourth biggest value in 8, 28/3, -2, -2/213, 37?
-2/213
Which is the seventh biggest value? (a) -0.4 (b) -0.2 (c) 0.4 (d) -1/3 (e) -4 (f) 921 (g) -8
g
What is the smallest value in 4, -10566, -15.7?
-10566
Which is the third smallest value? (a) 15 (b) -0.34 (c) -0.5 (d) 4 (e) 2411
d
Which is the fourth biggest value? (a) 0.01 (b) 3 (c) -3.5 (d) -3/34 (e) 1 (f) -2.5
d
Which is the third biggest value? (a) -2/3 (b) -4 (c) -23 (d) 1201 (e) 4 (f) -6/7 (g) 1
g
Which is the third smallest value? (a) 0.4 (b) -15.95 (c) 0.2 (d) -4 (e) -0.5 (f) -2/31 (g) 157
e
Which is the smallest value? (a) 7/2150 (b) -109 (c) -11
b
Which is the second smallest value? (a) -2 (b) -40 (c) -77879
b
What is the smallest value in -106, 4/7, 0.1, -264/17?
-106
What is the second smallest value in 0.08, -3, -45.3, 5, -605?
-45.3
What is the fourth biggest value in 6, -0.4, 5, -1/18, 23, 2/3?
2/3
What is the third smallest value in 126301, 1, 4/265?
126301
What is the second smallest value in 0.5, -5, 4, -2, -0.08, 2/5, 91.18?
-2
What is the second smallest value in 1/3, 2/3, 1509940?
2/3
What is the second smallest value in 28.7, -0.1054, -5, 29?
-0.1054
Which is the second biggest value? (a) 97/134 (b) -4 (c) 294
a
Which is the third smallest value? (a) 0.1 (b) -3 (c) -14 (d) 59 (e) 3/2 (f) -0.4 (g) -2
g
What is the third smallest value in 63750057, 1, -1, 5, -0.1?
1
What is the fifth smallest value in 2, 24, 1371/11, 4, 3/8?
1371/11
Which is the biggest value? (a) 0 (b) 0.153 (c) 4.65 (d) -599 (e) -4/5
c
Which is the fifth biggest value? (a) -80 (b) 15 (c) -19 (d) -1/2 (e) 37 (f) 10 (g) -3
g
Which is the third biggest value? (a) 97/3 (b) 13/19 (c) 2/7 (d) 2 (e) 5 (f) 0.3
d
What is the third smallest value in -4/723, -29.43, -0.2, -2?
-0.2
What is the fourth smallest value in -3/7, 3, -3/4, 0.37, 15/7?
15/7
What is the biggest value in 4, -0.05, 170, -2095/2?
170
Which is the fourth smallest value? (a) -0.38 (b) 0.047 (c) 0 (d) 1/4 (e) -296
b
What is the smallest value in -11362, 0.054, -0.3?
-11362
What is the second smallest value in -0.5, -98, 5, -5, 30, -2/41?
-5
Which is the fifth biggest value? (a) 29 ( | {
"pile_set_name": "DM Mathematics"
} |
(b) -0.5 (c) w (d) 3
a
Let n = 0.7081 - 0.9081. Let v = -1.25 + 0.15. Let l = 0.8 + v. What is the nearest to n in -1/4, 3, l?
-1/4
Let f(p) = -p. Let s be f(-2). Let q be 0*5/(150/(-5)). Let n be (q/s)/(-3 + 4). Which is the nearest to 2/9? (a) -5 (b) -2/3 (c) n
c
Let v = -1 + 0.6. Let x = 0.01 + -5.01. Let r be (72/27 + (-3)/(-9))*(-3)/45. Which is the nearest to 0.2? (a) r (b) v (c) x
a
Let w = 9442 + -9442.2. Which is the nearest to 0.1? (a) 4 (b) 0.75 (c) w
c
Let t = -5957 - -5957.2. What is the nearest to -3/4 in 5, -3, -1, t?
-1
Let u = -142.005 - -142. Let l = u + -0.095. Which is the closest to l? (a) -5/3 (b) 0.1 (c) 0 (d) -2
c
Let w = 2.1 + -0.1. Let k = 16214 + -16217. Which is the closest to 2/5? (a) k (b) w (c) -5
b
Let g = -193.5 + 191. Let x be ((-729)/(-12) + -3)*-4. Let m be 7/(-3)*(-22)/x. What is the nearest to 0.1 in -0.1, m, g?
-0.1
Let m = 78.4 + -76.4. Let u = 208 - 6442/31. Which is the closest to u? (a) -1/3 (b) -3 (c) m
a
Let r = 103 - 104.64. Let j = 1.44 + r. What is the closest to j in 4, -3, -1/7?
-1/7
Let d be ((-18)/36)/((-2)/216). Suppose -10*v - d = -28*v. What is the nearest to -2 in v, 1, -1/9?
-1/9
Let m(i) = 19*i + 14. Let o be m(-1). Let v = 0.822 + -0.322. Which is the closest to 49? (a) v (b) o (c) 2
c
Suppose 2*d - x = 5, -4*x - 10 = d + 10. Let p be 16/6 + d + -2. Let g = 2.7 - 0.7. Which is the nearest to -2? (a) g (b) 3 (c) p
c
Let v be (-4)/(-30) + 602/210. Suppose -5*i - 26 = 4*y, -v*y + 5*i = i + 4. Which is the nearest to 0.02? (a) 0.3 (b) y (c) 2/7
c
Let m = -125.63 - -125.53. Let t = 11 + -8. Which is the nearest to -0.1? (a) m (b) t (c) 88
a
Let u = 0.64398 + -0.44398. What is the closest to u in 0, 1/7, 22, 1/2?
1/7
Let k = 43.696 - 0.796. Let o = k - 43. Let d = 0.3 - 0.2. Which is the closest to o? (a) d (b) -13 (c) 4
a
Let i be (-549)/54 - 5 - -3. Which is the closest to 2? (a) 1/4 (b) -0.4 (c) i
a
Suppose 3*g - 13 = -1. Let x = -22 + 21.984. Let b = x - 2.984. What is the closest to -2 in g, 1, b?
b
Let u = -2.93 + 3.43. Let q = 0.5 + 1.5. Let j = 5 - q. Which is the nearest to -1? (a) -1 (b) j (c) u
a
Let k = -1 + -3. Let n = 0.57417 - -0.42583. Which is the nearest to n? (a) 0.3 (b) k (c) 2/15
a
Let i be 91/(-38) + (-58)/551. What is the nearest to 0.01 in -2/15, i, -1/3?
-2/15
Let x = 0.8 - -1.2. Let h(c) = 3*c**3 - 21*c - 20. Let z be h(-1). What is the nearest to 28 in z, x, 5?
5
Let r = -2062 - -8245/4. What is the nearest to -9 in -1/2, r, 5?
r
Suppose 5*v = -5*n - 20, -4*v = -n - 0 + 1. Let a be ((-165)/39 + 4)*3848/(-6216). What is the nearest to 0 in 1/4, 0.4, v, a?
a
Let i = -0.9 + 0.5. Let k = 2436.1 + -2436. What is the nearest to -12 in 5, k, i?
i
Let l = 281 + 379. Let o = l - 660.1. Which is the closest to -0.1? (a) -2 (b) o (c) 0.8 (d) 0.3
b
Let i = -6993 + 6989. What is the closest to 1 in -3.84, 2/21, i?
2/21
Let v = -46.2 - -46.4. Let u = 0.0606 + -0.4606. What is the nearest to -1 in -1, v, 0.1, u?
-1
Let b = 4 - 3.6. Let x = 376 - 29. Let a = x + -352. What is the nearest to -0.3 in b, -7, a?
b
Let q = -5.2 + 5. Let d = -104.1 + 111. Let z = d + -7.5. What is the closest to z in q, 4, -2/5?
-2/5
Suppose 32 + 68 = -22*x + 210. Which is the closest to 0.4? (a) -4/3 (b) x (c) 2/3
c
Let m be ((-2)/8)/((122/(-1281))/(5/(-7))). Which is the nearest to -0.1? (a) -0.1 (b) -4 (c) m (d) 1/5
a
Let w = 1740 + -1739. Let v be 6/(-2) + 5 + 1. What is the nearest to 27 in w, -0.5, v?
v
Let o = 1.67 - 0.47. Let z = o - 0.2. Let g = -0.3 - -1.3. Which is the closest to g? (a) z (b) 4 (c) 5
a
Let x(z) = -z - 18. Let o be x(-18). Let f = 225.21 - 220.21. Which is the closest to o? (a) 4 (b) -0.2 (c) 0 (d) f
c
Let d be -4*(-21 - 648/(-32)). What is the nearest to 0.4 in -2/13, -0.4, 3/2, d?
-2/13
Let o be (45/10 + -5)/(5/(-2) + 2). Which is the closest to -3? (a) o (b) -3/5 (c) -1/52 (d) -2
d
Let p = -0.06253 - 0.03747. Let w = -5.5 + 0.5. Let g = 4.7 + w. Which is the nearest to p? (a) 3 (b) g (c) -0.05
c
Let s = -23203 + 46405/2. Let x be ((-16)/(-6))/((-7)/3). Let v = x - -13/42. What is the closest to 0 in 4, v, s?
s
Let c = 130.3 - 187. Let w = 13.2 + -70.2. Let v = w - c. What is the nearest to -0.1 in -4, -5, v?
v
Let t = 674.7 + -675.7. Let l = -45/308 + -1/28. What is the nearest to 3/5 in l, t, -5?
l
Let r = 32298.8 + -32300. What is the closest to 0.1 in -5/3, -5, r?
r
Let t = 14.7 + 20. Let k = t + -34.4. What is the closest to -0.1 in -1, k, 45?
k
Suppose 3*f + 12 = 0, 20 - 37 = -5*g + 3*f. Suppose -2 = -3*l - 2*s + 13, 5*s = 15. Let t be g/(-4)*l/(-3). Which is the closest to 0? (a) -5 (b) t (c) 0
c
Let y = -717108 - -717126. Let h = -12/11 + 58/33. Which is the nearest to -1? (a) y (b) 0.1 (c) -2/13 (d) h
c
Let d = 1.6 + 24. Let x = -20.6 + d. Let n = -2.9 - -3. Which is the nearest to -0.1? (a) n (b) x (c) 0.2
a
Let d = 8.79 - 7.79. What is the closest to -3/2 in 19, d, -1/5?
-1/5
Let k = -140 + 107. Let t be (-1 + 0/(-1))*k/726. What is the nearest to t in -0.4, -6/11, -2/3?
-0.4
Let m = 152064/17 + -61584373/6885. Let n = m + -2/81. What is the closest to -0.1 in n, 6/5, 5?
n
Let p = 108611.7 + -108612. Let m = -7 - -7.06. Which is the nearest to p? (a) m (b) -4 (c) -0.5
c
Let o = 349 + -591. Let h = 248 + o. What is the closest to h in 2, -2/3, 0.2?
2
Let a be (1 - (-6)/2) + (3 - 2). Let w be (-7)/6 - (-2)/3. Let p = 1.07 + -4.07. What is the closest to w in p, a, 0.3?
0.3
Let v = -7924 + 7923.83. What is the nearest to -2/9 in -5, 2, v?
v
Let g = 7 - 7. Let d = -519 + 510.6. Let b = 7.9 + d. What is the closest to -0.2 in 2, b, g?
g
Let b be 24 - (-22 - (-2540)/55). What is the nearest to -11 in b, -5, 4, -3?
-5
Suppose 4*c - 13 = -2*j + 1, 3*c = 5*j + 4. Let n be ((-4)/((-48)/(-4)))/(c/(-9)). What is the nearest to n in 0.05, -12, 3/8?
3/8
Let l = -471.2 - -471.5. What is the closest to 1/2 in -1, l, 0.26, -9?
l
Let h = 7693 - 7694. Which is the nearest to h? (a) -1/4 (b) -0.5 (c) 0.1 (d) 24/19
b
Suppose -34*c = 99*c + 30*c. Let g = -13 + 18. What is the closest to c in g, -2/5, -1/6?
-1/6
Suppose 0 = -2*y - 3*y. Let q = -1112 + 1165. Suppose -2*s + 58*i = q*i - 17, 5*s = -3*i - 4. Which is the nearest to y? (a) 0.5 (b) 10 (c) s
a
Suppose -n - 3 + 0 = 0. Let t = -1.8714 + 1.4714. Which is the closest to 18? (a) n (b) 2 (c) t
b
Let t = -2720 - -2723. What is the nearest to -4 in -1/8, t, -6.8?
-6.8
Let b = -605 + 606.3. Let h = 12 + -12. What is the closest to h in 5, -4, b?
b
Let q = -0.3479 + -2.6521. What is the nearest to -6 in -4/17, -1, 4, q?
q
Suppose -3*c + 3*f = -0*c - 84, -5*c + 140 = -4*f. Let m = -250/9 + c. What is the closest to 7 in 3, m, -5?
3
Let u be 140/30*8/84. What is the nearest to -1 in 2, -1/14, u, -5?
-1/14
Let m = 11843.5 + -11844. Which is the nearest to -2? (a) 1/2 (b) m (c) 7
b
Let w = -1280 + 2555/2. Which is the nearest to 0.06? (a) 3/8 (b) 0.2 (c) w
b
Let t be 1/4 + 9/60. Let m = -13472 + 13475. Let a = -32 + 95/3. What is the nearest to a in t, m, -0.2?
-0.2
Let u = 0.75089 - -0.24911. What is the nearest to -0.1 in 2/17, -0.6, -3/7, u?
2/17
Suppose -30*h + 150 = -33*h. Let b be ((-4)/h)/(3/(-15)). Suppose -9 = k - 2*j, 4*k + 13 - 2 = 3*j. What is the nearest to -0.4 in b, -0.2, k?
b
Let a = -12862 + 13038. What is the closest to 1 in -1/2, 2, a, -0.2?
2
Let t = 7262 - 7274. Which is the closest to t? (a) -0.5 (b) 1 (c) 226
a
Let l = 34 + -36. Let b be ((-4)/5)/(35*(-28)/350). Suppose 0 = -c - 5*g - 4, 4*g + 6 = 2. What is the closest to b in -3, l, c?
c
Let t = -0.168 + -123.832. Let n = t - -127. What is the nearest to 0 in n, 2, 40?
2
Let d = -1501/11 + 410/3. Let o = 4/33 + d. Which is the nearest to o? (a) -1/5 (b) -1 (c) -2
a
Let d = -575 - -977. Let r = -399 + d. Which is the nearest to -9/2? (a) 2/3 (b) r (c) 2
a
Let w(z) = z**2 + 20*z + 84. Let h be w(-6). Which is the nearest to 0? (a) 3 (b) h (c) 12/43
b
Let q = -421.4 - -421. Let h be (18/(-15))/((-174)/(-20)). Which is the nearest to q? (a) h (b) -2 (c) -0.2
c
Let p = -55.52 + 56.02. Which is the closest to -51/5? (a) p (b) -3 (c) 0.2 (d) 0.3
b
Let v = 1.95 - -0.05. Let k be 3 + 2 + 228/(-48) + 0/(-1). What is the closest to 2/3 in 4, 0.4, v, k?
0.4 | {
"pile_set_name": "DM Mathematics"
} |
*r, 7*r = 4*t + 5*r - 298. Calculate the highest common divisor of 16 and t.
8
Let j(p) = p**2 + 251*p - 4553. Let a be j(17). Suppose -2*t = -7*t + 75. Calculate the greatest common factor of t and a.
3
Let x be (-10)/(4/(-42)*1). Suppose 4*v + 2*a - 83 - 5 = 0, 29 = v + 4*a. What is the highest common factor of x and v?
21
Let x be 16 + -3 + -8 - (-1385 + 4). What is the greatest common factor of 28 and x?
14
Let w = -576 + 696. Calculate the highest common factor of 45 and w.
15
Suppose -9*k = -0*k. Let u(o) = 2*o**3 - o**2 + 40. Let y be u(k). Calculate the greatest common divisor of 140 and y.
20
Let l be (-26)/(1/(-2)*52/195). Calculate the greatest common factor of 39 and l.
39
Suppose 97 = 5*q - 8. Suppose -630 = 396*p - 402*p. Calculate the greatest common factor of q and p.
21
Suppose 3*w - i = 83 + 147, -2*w + 2*i + 148 = 0. Calculate the greatest common divisor of 130 and w.
26
Let r(l) = -195*l + 1360. Let x be r(6). Calculate the highest common factor of 2375 and x.
95
Suppose 5*t - 625 = -5*d, -d - 299 - 176 = -4*t. Let p = 98 - 83. What is the greatest common factor of t and p?
15
Suppose -45 = -6*c - 15. Suppose -2*d - 17 = -4*b + 3, c*b = -5*d + 55. Calculate the greatest common divisor of 28 and b.
7
Suppose 5*p + 2*n - 1021 = 1396, 5*n + 961 = 2*p. Calculate the highest common divisor of 345 and p.
69
Let a be 6/(-2 - -5) + 54. Let r = a + -31. What is the highest common factor of 175 and r?
25
Let d = 22 + -11. Let v = 18 - 16. Suppose -t - 2 = 0, -3*y - v*t + 371 = -6*t. What is the highest common divisor of d and y?
11
Let m(r) = r**3 - 2*r**2 + r + 42. Let u be m(0). Calculate the highest common factor of 6 and u.
6
Suppose d + 0*d = g - 31, d + 5 = 0. Let m = -72 + 102. Suppose g*p - m = 21*p. Calculate the greatest common divisor of 42 and p.
6
Let u be (-2)/13 + 6/39. Suppose 2*d - 622 = -u*d. Suppose 0 = -3*f + 9, -3*f = -4*c + d. Calculate the greatest common factor of 16 and c.
16
Suppose 0 = 4*y + 3*k - 361, -7*y - 5*k + 450 = -2*y. Calculate the highest common factor of 7 and y.
7
Let g be (-382)/(-8) - (-4)/16. Suppose -q - q = -g. Let t(f) = f**2 - 4*f + 4. Let j be t(6). Calculate the highest common divisor of q and j.
8
Suppose -5*k - 44 = -2*o, -3*k - 5 + 53 = 5*o. Let v(i) = i + 14. Let z be v(o). Let u be ((-10)/4)/((-13)/z). Calculate the highest common factor of 55 and u.
5
Let t(r) = 2*r + 16. Let f be t(-7). Suppose -4*y + 348 = 2*i, i + 0 = -f. Let o be (-5)/(-2*2/y). Calculate the highest common factor of 10 and o.
10
Let m be (4 - 6) + (1*78)/(-1). Let c = m + 272. What is the greatest common divisor of 24 and c?
24
Let t(z) = 9*z - 1. Let u be t(3). Let x(s) = -s + 15. Let a be x(12). Suppose -2574 = -8*r - a*r. What is the greatest common factor of u and r?
26
Suppose 2*v - 3 = v. Suppose 4*w - 25 = -y, -3*y + 77 = v*w + 20. What is the highest common factor of 187 and y?
17
Let y = 621 - 373. What is the highest common factor of y and 8?
8
Suppose 5*i - 5*r + 8 - 3 = 0, 2*i + 4*r + 8 = 0. Let n be -1*22/i + -3. Let l be ((-10)/15)/((-1)/30). What is the highest common divisor of l and n?
4
Let w be ((170/4)/(-5))/((-2)/84). Calculate the highest common divisor of w and 408.
51
Suppose 145 + 244 = 19*d + 180. Suppose 2*h = -3*h - 2*y + 613, 2*h = -2*y + 250. Calculate the greatest common divisor of h and d.
11
Let c = -235 - -256. Calculate the greatest common factor of 987 and c.
21
Let s = 25 + -50. Let m be (-49)/(-2) + (-4)/(-8). Let f = m - s. What is the greatest common factor of 10 and f?
10
Let w = -367 + 94. Let l = w + 436. Let r be l/3 - 8/(-12). What is the greatest common divisor of 22 and r?
11
Let d(p) = 12*p - 166. Let o be d(14). What is the greatest common divisor of o and 30?
2
Let d(x) = 5*x**2 - x - 6. Suppose -4*l - 3*k + 15 = -1, 9 = -l - 4*k. Let j = -9 + l. Let c be d(j). Calculate the greatest common factor of 80 and c.
16
Let p be 6/(-8)*6/9*-10. Calculate the highest common divisor of 25 and p.
5
Let k = 9 - 9. Suppose 2*v - g - 9 = k, -g = -v - 0*g + 4. Let h be 13 + v/((-10)/6). Calculate the highest common factor of h and 30.
10
Suppose -483 = -27*v + 20*v. What is the highest common factor of 3 and v?
3
Let w(a) = -a**2 - 18*a + 10. Let t be w(-13). Suppose -2*x = 2*h - 3*h + 36, -3*x - t = -2*h. What is the greatest common divisor of h and 6?
6
Suppose -4*z + 3*h = -0*h + 98, 4*h = -3*z - 86. Let v = -11 - z. Let i = -746 - -821. Calculate the highest common factor of i and v.
15
Suppose 10*p - 3605 = -85. Calculate the highest common factor of p and 11.
11
Let h = 1133 + -1049. Calculate the highest common factor of h and 308.
28
Let i be 9 + (1/4)/(7/(-28)). Suppose -2*j + i = 0, -l + j = 4*l - 426. What is the greatest common divisor of 43 and l?
43
Let x be (-2)/(-8) - (-162)/24. Suppose 2*z = -5*m + 282, 3*m - 2*z - 38 = 128. What is the greatest common divisor of x and m?
7
Let d = 1241 + -1231. What is the greatest common divisor of 545 and d?
5
Let h = 96 + -91. Suppose h*x - 3*x - 4*i = 40, 4*x = -5*i + 28. What is the greatest common factor of x and 6?
6
Let d(u) = u**2 - 9*u + 10. Let t be d(8). Suppose 2600 = 7*x - t*x. Suppose -7*l = -12*l + x. Calculate the highest common factor of l and 13.
13
Suppose -5*a + 109 = t - 291, 5*a - 2*t - 385 = 0. Suppose a = 4*l + 23. What is the highest common divisor of l and 140?
14
Let s(h) = -h**3 + 7*h**2 + 6*h - 33. Let n be s(7). Calculate the greatest common divisor of n and 333.
9
Suppose 185 = 8*y - 55. What is the highest common factor of 1350 and y?
30
Suppose 2*v + 51 = -3*k + 274, -k + 3*v = -78. What is the greatest common factor of 125 and k?
25
Let z be 26/6 - 78/234. Let s(o) = o**2 + 2*o - 5. Let v be ((-10)/(-2))/(-3 - -2). Let j be s(v). What is the highest common divisor of z and j?
2
Let x be (-9)/(-72) - (78/(-16) + 1). Let m(s) = -2*s - 2. Let t be m(-15). Calculate the highest common divisor of x and t.
4
Suppose 0 = 5*z - 3*h + 4*h - 725, 2*h = 0. Let l = z - 33. Calculate the highest common divisor of l and 14.
14
Let v(w) = 2*w**3 - 2*w**2 - 6*w + 5. Let p be v(3). Suppose 4*b + p = 87. Calculate the highest common factor of 24 and b.
8
Let l be (-1069)/((-3)/(-6) + -1). Suppose -1421 = -2*t + r, -2*t - t + l = 5*r. Suppose -5*d = -t - 9. What is the highest common factor of d and 16?
16
Suppose -2*u - d = -35, -4*u = 3*d - 76 + 9. What is the greatest common factor of 133 and u?
19
Let h(r) = -8*r**2 + r + 3. Let t(j) = 9*j**2 - 3. Let z(s) = -6*h(s) - 4*t(s). Let n be z(-1). Calculate the highest common divisor of 132 and n.
12
Let t = 14 + 0. Let k = t - 9. Suppose 0 = 3*w - 5*r + 22, -2*w - 13 = -2*r - k. What is the greatest common divisor of 2 and w?
1
Let x be ((-6192)/301)/((-3)/70). What is the highest common factor of 15 and x?
15
Let t be 4/(-5) + -16494*1/(-30). What is the highest common divisor of 9 and t?
9
Let c(g) = 2*g**3 + 19*g**2 - 18*g - 4. Let n be c(-10). Calculate the greatest common divisor of n and 36.
4
Suppose -5*z = -79 - 1651. Let k = z + -186. What is the highest common divisor of k and 64?
32
Suppose 8 + 27 = -5*q. Let l = -3 - q. Let p = 16 + 4. Calculate the highest common divisor of l and p.
4
Let j(o) = 33*o**2 - 1. Let v be j(1). Suppose 28 = -4*m, -60*y = -62*y - m + 41. What is the greatest common factor of v and y?
8
Suppose -4*m + 12 = 2*m. Let g be (-1)/2 - (-15)/2. Suppose 0*t - 5*f + g = -t, -f = -m. Calculate the highest common divisor of 6 and t.
3
Suppose -3*v - 4 = q - 24, 0 = -4*v + 3*q + 44. Let h = 0 - -2. Suppose -h*j + 120 = j. Calculate the highest common factor of j and v.
8
Suppose -i + 72 = 2*g, -2*g - 5*i + 3*i + 72 = 0. Let f be (-119)/(-9) - 8/g. What is the highest common factor of f and 91?
13
Let x = -2016 + 3385. What is the highest common divisor of 37 and x?
37
Let o = 60 - 101. Let w = -25 - o. Let a be 5/(-15) + (-13)/(-3). Calculate the greatest common divisor of a and w.
4
Suppose 9*p = -0*p + 576. Let v(j) = 2*j + 8. Let z be v(4). What is the greatest common factor of z and p?
16
Suppose -70 = -5*k - 5*b, -17*k + 28 = -15*k - b. Calculate the highest common factor of 1162 and k.
14
Suppose -152 = -4*w + 100. Let p = w - 25. What is the highest common factor of 95 and p?
19
Suppose d + 14 = -4*h - 26, -59 = 2*d + h | {
"pile_set_name": "DM Mathematics"
} |
Rearrange 7*a**3 + 3*a - 1 - a**4 + a**3 + 3*a**4 + 2*a**3 to the form d*a**3 + z*a + u*a**4 + h + t*a**2 and give h.
-1
Rearrange (w - 6*w + 2*w)*(-6 - 13 - 3) + (-w + 2 - 2)*(1 + 0 + 0) to x + o*w and give o.
65
Rearrange 8*t**3 - 8 - 6 + 3*t**4 - t**4 - 3*t**3 to z + a*t**3 + c*t**4 + s*t + p*t**2 and give z.
-14
Rearrange (-3*d - d + 2*d)*(d**2 + d**2 - d**2) + (-2 + d**3 + 2)*(-3 + 4 + 0)*(-5 - 1 + 0) - 2 + 2 + 4*d**3 to the form y*d**3 + l*d**2 + u*d + n and give u.
0
Express (3*n + 3 - 3)*(-365*n**2 + 729*n**2 + 41 - 362*n**2) in the form i + l*n**2 + j*n + d*n**3 and give j.
123
Express 635 + 634 + 638 - 2319*r**2 - 1907 as i*r**2 + p + w*r and give i.
-2319
Rearrange -7*d**3 + 25*d**3 + 37*d**3 + (-d**2 + d**2 - 2*d**2)*(1 - 1 + d) + d**3 + d**3 + 0*d**3 + 2*d**2 + 22*d to q + r*d**3 + c*d + w*d**2 and give w.
2
Rearrange 57 + 23 + 305 + 99 - f to n*f + u and give u.
484
Rearrange 2*q - q - 2*q + (-5 + 7 + 1)*(2*q - 2*q + 2*q) - 2*q + 3*q + 6*q to the form b + x*q and give x.
12
Rearrange 3*j - 7*j + 2*j - 76*j**2 - 87*j**2 + 2 + 34*j**2 to s*j + w*j**2 + b and give w.
-129
Rearrange (1 - 1 + 3)*(1 - 2 + 2)*(0 - 3 + 5)*(0 - 5 + 0)*(-21*s**2 + 24*s**2 - 2*s + 7*s) to the form q*s**2 + v*s + j and give v.
-150
Rearrange ((9 + 2 + 0)*(-2 + 2 - 2) + 12 + 5 + 28 - 2)*(3*w - w - 4*w) to q*w + z and give q.
-42
Rearrange 842*h**4 + h**3 + 3*h**2 + 4*h**3 - 844*h**4 + 1 - 6*h to the form m*h**4 + a*h**2 + t*h**3 + w + c*h and give t.
5
Express (-2 + 0 + 2194*s - 2581*s)*(-1 - 1 + 5) as n*s + v and give n.
-1161
Rearrange (34 + 24 - 16)*(-4*k + 7 - 7) to l*k + o and give l.
-168
Express 2*g + 31 - 31 + 165 as d*g + r and give d.
2
Express (-r - 3*r + 5*r)*(-4*r + 3*r - 2*r) + ((0 + 2 + 0)*(r - 3*r - 3*r) + 2 - 2 + r)*(5*r + r - 4*r) in the form u + m*r + p*r**2 and give p.
-21
Express (1 - 4*v**4 - 1)*(-1 + 10 - 1 + 2 + 0 - 3 - 2 + 4 - 1 + (-3 - 1 + 3)*(5 + 1 - 5) + 3 - 6 + 1) in the form j + a*v**3 + h*v**2 + i*v + o*v**4 and give o.
-20
Express (5548 + 5985 - 401 + 6736 - 4498)*(-3*d**3 + 6*d**3 - 4*d**3) as c*d + m*d**2 + p*d**3 + y and give p.
-13370
Rearrange 62 + w**3 + 10*w + 66 - 126 to x*w + t*w**3 + i + z*w**2 and give i.
2
Express (-w + 0*w + 0*w)*(0*w**3 - 4*w**3 + 3*w**3) - 26*w + 58*w - 30*w - 30*w**4 as n + z*w**3 + p*w**4 + s*w + h*w**2 and give s.
2
Rearrange (3 - 3 - 2*s)*(-4*s + s + s + 9*s - 4*s + 4*s + (-2 + 5 - 2)*(5 - 5 - s) - 2*s + 7*s - 3*s) to the form b + r*s + n*s**2 and give n.
-16
Express 2 + 10*r**3 - 7*r**3 + 4*r**2 - r**2 - 3*r**4 - r**3 + 0*r**3 as b*r**2 + h*r**4 + j + t*r + g*r**3 and give g.
2
Express -11*z**2 - 36*z**2 + 15*z**2 + (4*z - 5 + 5)*(0*z + 2*z + z) as n*z**2 + h*z + i and give n.
-20
Express -6 + 0 + 21*n + 1 + 3 as h*n + i and give h.
21
Rearrange 4*w + 9*w - 318 + 312 to r + h*w and give h.
13
Express -479 - 1383*q + 2758*q - 1373*q as o + j*q and give j.
2
Rearrange (-2*l**2 + 3*l**2 - 4*l**2 - l)*(-45 - 81 + 13 + (-1 + 3 - 3)*(6 - 4 - 1)) to the form b*l + a + v*l**2 and give v.
342
Rearrange -134*d + 6*d**3 + 130*d - 2 + 2 + d**2 to the form q*d + v*d**3 + j*d**2 + z and give q.
-4
Rearrange 4*g**2 - 2*g**3 - 4*g**2 + (-83*g + 235*g - 95*g)*(-3*g**2 - 4*g**2 - g**2) to the form h*g + b + f*g**2 + d*g**3 and give f.
0
Express -113*w + 229 - 229 + (-7 + 27 + 18)*(0 + 0 - w) - 2 + 0 + 2*w - w as s + t*w and give t.
-150
Rearrange (3*s - 1 - 14 - 2*s)*(-119 + 36 + 54) to z + k*s and give k.
-29
Rearrange w**3 + 0*w**2 + 3*w**3 - 17474*w + 0*w**2 + 17476*w to the form h + t*w + s*w**2 + d*w**3 and give s.
0
Rearrange -163 + 341 + 1455*r - 178 + 731*r to l + j*r and give j.
2186
Express 2*g - 10*g**3 + 4 + 6*g**3 + 3*g**3 - 6*g**3 as w*g**3 + k*g + s*g**2 + j and give k.
2
Rearrange d**3 - d**3 - 4*d**3 - 34*d + 2*d**3 - 4*d**3 - 1 to g + z*d + v*d**2 + h*d**3 and give z.
-34
Rearrange -42*w**3 + 101*w**2 - 49*w**3 - 99*w**2 to a*w**2 + r*w + l*w**3 + z and give l.
-91
Rearrange -23*i**3 + 2*i + 1 - 532*i**4 + 530*i**4 - 13*i**3 to m*i**2 + x*i + b*i**4 + o*i**3 + u and give o.
-36
Rearrange -32*d - 199*d**2 + 32*d + 6*d**2 to j*d + m + y*d**2 and give y.
-193
Rearrange -246*n**4 + n**3 + 121*n**4 - 21*n - 2 + 124*n**4 + 8*n + 4*n to w*n**2 + x + a*n**3 + v*n + p*n**4 and give p.
-1
Rearrange (-15*q**2 - 19*q**2 + 32*q**2 - 3*q**3)*(-27 - 20 - 17) to the form l + t*q**3 + r*q + c*q**2 and give t.
192
Rearrange 3 - 13*q**4 - 6 - q**3 + 10*q**4 + 4*q + 3*q**4 - 2*q**4 to k*q + z*q**4 + a + o*q**3 + d*q**2 and give a.
-3
Rearrange 2 - 17*g**3 - 25*g**2 - 18*g**3 + 9*g**2 + 30*g**3 - 17*g**2 to m*g**2 + y + j*g + p*g**3 and give p.
-5
Express (-2 - 2 + 5)*(0 - 3 - 2)*(12*d + 57 - 57) in the form k + c*d and give c.
-60
Express -6264 + 6273 + 4*q**3 - 8*q**3 in the form d + a*q**3 + j*q**2 + s*q and give a.
-4
Rearrange (-24 - 29 + 4)*(-3*v + 3*v - 3*v + (-4 + 6 + 0)*(1 - 3*v - 1) + 3*v - 3*v - 2*v + 0*v + 4*v - 5*v) to u*v + b and give u.
588
Rearrange -1 + 107*k + 119*k + 10*k**3 - 242*k to x + c*k**3 + j*k + l*k**2 and give c.
10
Rearrange (-2 + 6 + 0)*(29*g + 40*g + 10*g) to the form n + f*g and give f.
316
Express 4*a**2 + 3*a**4 + 3*a**3 - 2*a**2 + 7 + 2*a - 3*a - a**4 as o*a**2 + l*a**4 + i*a**3 + y + r*a and give l.
2
Rearrange -25*k + 27*k + 228*k to y + h*k and give y.
0
Express 8*c**3 + 40*c**2 + c - 42*c**2 - 18*c**4 + 7*c**4 in the form z*c + n*c**2 + b*c**3 + j*c**4 + k and give k.
0
Express (75*v - 75*v - 54*v**2)*((4*v + v - 4*v)*(5*v - v - 3*v) + v**2 + 3 - 3 + 0*v**2 + 0*v**2 - 12*v**2) as n*v + m + f*v**2 + z*v**3 + t*v**4 and give n.
0
Rearrange (3*r + 4*r - 6*r)*(-3 + 2*r + 3) - 2*r**2 + 3*r**2 + 0*r**2 - 268*r**2 - 2098*r**2 + 237*r**2 to z*r + s*r**2 + q and give s.
-2126
Express 156 + 0*m + 0*m + 3*m + 126 as d + y*m and give y.
3
Rearrange 0 - 4 - 8*r - r to the form u*r + x and give u.
-9
Rearrange -2 + 6 - 196*u - 4 - 204*u to the form t + h*u and give h.
-400
Express 0*x - 1614*x**3 - x + 1612*x**3 as p*x**2 + z*x + m + v*x**3 and give z.
-1
Rearrange -4*i**3 - 718*i**4 + 7*i + 719*i**4 + 0*i**3 - 1 to the form g*i + b + h*i**3 + u*i**2 + m*i**4 and give g.
7
Express 4 + 1273*h - 668*h - 4 + 4*h**2 - 673*h in the form n*h + y + x*h**2 and give y.
0
Express (1 + 4 - 7)*(2 + 1 - 5)*(-9 + 10 + 4*o - 3) as k*o + h and give h.
-8
Express -2 + 41*b**3 - 76*b**3 - 23*b + 32*b**3 as c*b**2 + m*b**3 + j*b + z and give j.
-23
Express -42*j + 0*j - j - 43*j + 3*j**2 as h*j + q*j**2 + v and give h.
-86
Rearrange -33*l**3 + 13 + 3*l**2 + l - l**2 + 34*l**3 to r*l + z*l**3 + x*l**2 + o and give r.
1
Rearrange (-3*r + 0*r + 0*r)*(-r + 4*r - 6*r) + (r + 0*r + 2*r)*(3*r - r + 0*r) to the form f*r**2 + k*r + z and give f.
15
Rearrange (0 + 3 - 2)*((n - 2 + 2)*(-3 - 1 + 5) + 43415 + 242*n - 43415)*(-n**2 + n - n) to the form k*n**2 + m*n + j*n**3 + s and give j.
-243
Rearrange 2*l**3 + 71 + 11*l**2 - 4*l**3 - 4*l**4 - 70 - 10*l**2 to the form y*l**3 + a*l**4 + g*l**2 + r + f*l and give a.
-4
Express 4*u**3 + 26*u**4 - 2304*u**2 - 5*u**3 + 2290*u**2 + u as k*u + a*u**2 + q*u**3 + n + y*u**4 and give y.
26
Express 3*f**2 + 3*f**2 + 6*f**4 - 5*f**2 + (2*f**2 - 2*f**2 + f**3)*(-8*f + 3*f + 19*f - 4) in the form o*f**4 + x + n*f**2 + m*f**3 + c*f and give c.
0
Express 0 - 39972*j**4 + 0 - 17*j + 4*j + j**2 + 39969*j**4 as d*j**3 + f*j + m + u*j**4 + v*j**2 and give v.
1
Express -1 - 3*p**4 - 1115*p**3 + 1115*p**3 - 3*p**2 in the form u*p + y + r*p**3 + b*p**2 + o*p**4 and give o.
-3
Express 5*s**3 - 3*s**3 + 4*s**3 + 488 - 465 as f*s**2 + t*s + l*s**3 + r and give r.
23
Express -19*c**3 + 2 + c - 3 + 17*c**3 - 20*c**4 + 26*c**4 - 2*c**2 in the form w*c**4 + n*c**2 + u*c + j*c**3 + b and give n.
-2
Express (0*o**2 - 2*o**3 + 0*o**2)*(-1 + 2 + 0) - o**2 - 15*o**3 + 3*o**2 + 6*o**2 + o**2 as f*o + s*o**2 + a*o**3 + d and give a.
-17
Express -264*m**2 - 112 + m**3 + 129*m**2 + 136*m**2 in the form j*m + i*m**2 + t + s*m**3 and give i.
1
Express (-473 - 1804 + 435 - 395)*(h - h - h**2 + 1) as r + m*h**2 + j*h and give r.
-2237
Rearrange 1448*y**4 - 1454*y**4 - 3*y**2 + 4*y**2 + 2*y**3 - 5*y + 1 + 0*y**2 to the form o*y**3 + p*y**4 + z*y + c*y**2 + f and give c.
1
Express -l - 2*l**2 + 0 - 2*l - 20 + 50 + 40 as d*l + u*l**2 + c and give c.
70
Express 0 - 2 + 7 - 36*o - 3 - 4 as j + x*o and give x. | {
"pile_set_name": "DM Mathematics"
} |
**3 - y**2.
181*y**3 - y**2
Collect the terms in 113538 + 114039 - 227577 + d.
d
Collect the terms in -712 + 1396*b**3 + 133*b**3 + 712 - 359*b**3.
1170*b**3
Collect the terms in -350*t - 204 + 75 + 71 + 57.
-350*t - 1
Collect the terms in 2132*g - 20190*g - 2743*g.
-20801*g
Collect the terms in 206*z**3 + 181*z**3 + 185*z**3 + 192*z**3 - 787*z**3.
-23*z**3
Collect the terms in 9 + 37*n**2 - 34*n**2 + 122292697*n - 122292697*n - 9.
3*n**2
Collect the terms in 228*c**3 + 408*c**3 + 319*c**3 + 352*c**3 + 84*c**3.
1391*c**3
Collect the terms in 83 + 137 + 185 + 29*v - 27*v.
2*v + 405
Collect the terms in 330*s**2 + 320*s**2 + 318*s**2 - 1321*s**2 + 333*s**2.
-20*s**2
Collect the terms in 4927*z**3 - 1714*z**3 + 2*z - 1708*z**3 - z - 1618*z**3.
-113*z**3 + z
Collect the terms in 29065*c - 7923*c + 48130*c.
69272*c
Collect the terms in -1101*a**2 - 5*a + 111*a**2 - 24*a + 38*a - 9*a.
-990*a**2
Collect the terms in 9643 + 315*y + 9650 - 19293.
315*y
Collect the terms in -199 + 86 + 2876*c**3 + 113.
2876*c**3
Collect the terms in -12 - 142*g**3 + 47*g**3 + 91*g**3.
-4*g**3 - 12
Collect the terms in 37723*g**3 - 6155*g**3 - 3109*g**3 + 32844*g**3 + 19694*g**3.
80997*g**3
Collect the terms in 270*b**2 - 177*b**2 - 720*b**2 - 1278*b**2.
-1905*b**2
Collect the terms in 12*r**2 + 100221*r + 100223*r - 200437*r.
12*r**2 + 7*r
Collect the terms in 72*m - 93*m - 12*m**2 + 108*m - 93*m.
-12*m**2 - 6*m
Collect the terms in -734 + 13*d + 2168 - 713 - 716.
13*d + 5
Collect the terms in -262*i + i**2 + 523*i + 113 - 251*i.
i**2 + 10*i + 113
Collect the terms in 3 - 3046*w**2 - 7*w + 4*w - 5 + w.
-3046*w**2 - 2*w - 2
Collect the terms in -16*x**2 - 24297 - 24315 + 97243 - 24312 - 24319.
-16*x**2
Collect the terms in -40 - 412*a**3 - 95*a**2 + 40 + 95*a**2.
-412*a**3
Collect the terms in -322533 + 95*c**2 - 63*c**2 + 322533.
32*c**2
Collect the terms in 13 - 156*f + 16*f**2 + 320*f - 33 - 164*f + 20.
16*f**2
Collect the terms in 5232 - 15680 - 104*o + 5225 + 5223.
-104*o
Collect the terms in 2424*t**2 + 415*t**2 - 914 + 899.
2839*t**2 - 15
Collect the terms in 128*u - 24*u**3 - 45*u - 14*u**3 + 6*u**3 - 82*u.
-32*u**3 + u
Collect the terms in -94537*h**2 + 189103*h**2 - 94567*h**2 + 112*h**3.
112*h**3 - h**2
Collect the terms in -46908*g - 33361*g - 681026*g.
-761295*g
Collect the terms in 423 - 466*w - 135 - 150 - 135.
-466*w + 3
Collect the terms in 3*f + 876*f**2 - 8*f - f + 11.
876*f**2 - 6*f + 11
Collect the terms in -517 + 87*l - 32*l + 16*l + 44*l + 176.
115*l - 341
Collect the terms in 6 + 57*r**2 - 24*r**3 + 28 + 9*r**3 - 57*r**2 + 6 + 14*r**3.
-r**3 + 40
Collect the terms in 348845*s**2 + 3 - 1 + 348924*s**2 - 2 - 697768*s**2.
s**2
Collect the terms in -96*c**3 - 69648*c + 198*c**3 - 105*c**3 + 69332*c.
-3*c**3 - 316*c
Collect the terms in 0*w**2 + 3125*w - 780*w - 783*w - 778*w - 7*w**2 - 784*w.
-7*w**2
Collect the terms in 18974986*k - 9487510*k - 9487491*k.
-15*k
Collect the terms in 0 - 24*n + 0 - 34*n + 58*n + n**3 + n**3.
2*n**3
Collect the terms in -19107*s**3 + 16025*s**3 + 1 - 61*s**2 + 61*s**2.
-3082*s**3 + 1
Collect the terms in 35*p**3 + 5 - 69*p**3 - 39 + 29*p**3.
-5*p**3 - 34
Collect the terms in -25*p**3 - 26*p**3 - 1378978*p**2 + 4*p**3 + 1378978*p**2.
-47*p**3
Collect the terms in 13*z + 14352*z**2 - 8*z - 14354*z**2 + 8*z.
-2*z**2 + 13*z
Collect the terms in 348*n**2 + 80652*n**3 - 348*n**2.
80652*n**3
Collect the terms in -3191*u**2 - 8*u + 6421*u**2 - 3213*u**2 + 8*u.
17*u**2
Collect the terms in -91*c - 64 - 47 + 132 - 19.
-91*c + 2
Collect the terms in -267 + 208*r**3 - 67*r**3 - 72*r**3 + 267 + r - 73*r**3.
-4*r**3 + r
Collect the terms in 219*p**2 + 292*p**2 - 3251*p**3 - 511*p**2.
-3251*p**3
Collect the terms in -2524282*o**3 - 432443*o**3 + 737557*o**3.
-2219168*o**3
Collect the terms in 386874*c**2 + 351001*c**2 + 23735*c**2 + 34825*c**2.
796435*c**2
Collect the terms in -2*h - 212764 - 45327 - h + 2*h**2 + 3*h.
2*h**2 - 258091
Collect the terms in 2609*d - 5252*d + 2593*d.
-50*d
Collect the terms in -265525 + 13417*s**2 + 4638*s**2 + 265524.
18055*s**2 - 1
Collect the terms in -14*a - 14*a + 500*a + 202*a + 108*a.
782*a
Collect the terms in -3391 - 1282*g**3 + 3391 + 1342*g**3.
60*g**3
Collect the terms in -59*z**3 + 17*z**3 + 228*z**3 - 103*z**3 + 68*z**3.
151*z**3
Collect the terms in 15517*g**2 - 15516*g**2 - 98571*g + 98573*g.
g**2 + 2*g
Collect the terms in 14738744*a - 14738743*a - 3 + 3.
a
Collect the terms in -10801*o + 44637*o + 56727*o.
90563*o
Collect the terms in 40*m - 20*m + 0*m - 25*m + 4*m.
-m
Collect the terms in -3258*g**3 + 1096*g**3 - 14 + 998*g**3 + 1079*g**3 + 14.
-85*g**3
Collect the terms in -609*t**2 - 21*t**3 - 8*t**3 + 5*t - 606*t**2 - 7*t + 1819*t**2 - 604*t**2.
-29*t**3 - 2*t
Collect the terms in -124374*u + 248712*u - 124320*u - 3.
18*u - 3
Collect the terms in 1661 + 1900 + 38*t - 3561.
38*t
Collect the terms in 63379*y**2 - 126391*y**2 + 62914*y**2.
-98*y**2
Collect the terms in 12853 - 12853 - 42*l.
-42*l
Collect the terms in 2581 + 2574 + 65*a - 62*a + 2571 - 7726.
3*a
Collect the terms in 142641*d - 284902*d + 142257*d.
-4*d
Collect the terms in -21*u**2 + 19*u**2 + u - 844 - 2*u.
-2*u**2 - u - 844
Collect the terms in 137*g + 49*g + 113*g + 115*g.
414*g
Collect the terms in 13967*i - 26874*i + 12871*i.
-36*i
Collect the terms in -595582 - 12*z**2 + 297843 + 297813.
-12*z**2 + 74
Collect the terms in d**2 - 2546*d + 173*d + 2221*d + 152*d.
d**2
Collect the terms in 139*v - 39*v + 3 - 35*v - 307*v**2 + 282*v**2 - 65*v.
-25*v**2 + 3
Collect the terms in -8140*o + 4069*o + 542 + 4074*o + 2*o**2.
2*o**2 + 3*o + 542
Collect the terms in -2*n**2 + n**2 - n**2 - n + 2*n**2 + 24228*n**3.
24228*n**3 - n
Collect the terms in 105 - 22*d**3 - 5*d**3 + 25 + 4*d**2 + 25*d**3.
-2*d**3 + 4*d**2 + 130
Collect the terms in -831162 + 416094 + 415068 - 9*g**3.
-9*g**3
Collect the terms in -4033*k + 7554*k - 4053*k.
-532*k
Collect the terms in 31023*i - 14273*i + 18737*i.
35487*i
Collect the terms in -10 - 14 - 7 - 31*v - 8 + 105*v.
74*v - 39
Collect the terms in -6 + 3206*u**3 - 1555*u**3 - 1647*u**3 + 10.
4*u**3 + 4
Collect the terms in -87624 + 87624 - 2*y**3.
-2*y**3
Collect the terms in 34*o**3 - 8*o**3 - 13*o**3 - 14*o**3 + 2 + 4963*o**2.
-o**3 + 4963*o**2 + 2
Collect the terms in -1967*f**2 - 10*f - 1943*f**2 + 3977*f**2.
67*f**2 - 10*f
Collect the terms in -90203 - 3*r**2 - r + 0*r - 11*r**2 + 90203.
-14*r**2 - r
Collect the terms in -2 - 70*o - 92*o + 547*o**2 - 1 - 224*o.
547*o**2 - 386*o - 3
Collect the terms in -21*z**3 - 1765 - 1689 - 1767 + 5221 + 26*z**3.
5*z**3
Collect the terms in 6 - 38932*k**2 + 2*k - 417743*k**2 - 7 + 1.
-456675*k**2 + 2*k
Collect the terms in -15075469*b**2 + 15075469*b**2 + 25741*b**3.
25741*b**3
Collect the terms in -41*d**2 - 3 - 7 + 42*d**2 + 10 + 1 - 84*d**2.
-83*d**2 + 1
Collect the terms in 715*j**3 - 2726*j**3 + 1115*j**3.
-896*j**3
Collect the terms in 26740 - 80219 + 26734 + 26745 + 14*j**3.
14*j**3
Collect the terms in 890 - 3578 + 890 + 888 + 910 - 5*w**2.
-5*w**2
Collect the terms in 14*x**2 + 16*x - 25 + 6*x + x + 1.
14*x**2 + 23*x - 24
Collect the terms in 551*t + 2 + 328*t - 1487*t + 561*t - 2.
-47*t
Collect the terms in 189903481119*v - 3*v**2 - 189903481119*v + 18*v**2.
15*v**2
Collect the terms in -14 + 14*a - 108*a**2 + 99*a**2 - 24.
-9*a**2 + 14*a - 38
Collect the terms in 45*f - 1792 - 145*f + 46*f - 2204 + 52*f.
-2*f - 3996
Collect the terms in 564252*s - 281961*s - 282283*s.
8*s
Collect the terms in 1978910 - 36*c**2 + 93*c**2 - 3*c - 1978909.
57*c**2 - 3*c + 1
Collect the terms in 41*n**2 + 7205*n + 224 - 224.
41*n**2 + 7205*n
Collect the terms in -290*i**3 - 1 - 31*i**3 - 4*i + 354*i**3 + 4*i - 41*i**3.
-8*i**3 - 1
Collect the terms in -5 + 11 + 78*o**3 + 47*o**3 + 1.
125*o**3 + 7
Collect the terms in 4635*v + 9173*v + 3745*v.
17553*v
Collect the terms in -25*y - 14*y**3 + 53*y + 11680104*y**2 - 28*y - 11680104*y**2.
-14*y**3
Collect the terms in 967*f**3 - 205882*f + 102936*f + 102946*f.
967*f**3
Collect the terms in -1223*z**2 - 199*z - 44*z - 88*z**2 + 122*z + 121*z.
-1311*z**2
Collect the terms in 510312693 + 83*z - 510312693 - 78*z.
5*z
Collect the terms in -279*y**3 + 281466869*y - 281466869*y.
-279*y**3
Collect the terms in -83 + 3929*d - | {
"pile_set_name": "DM Mathematics"
} |
u - 63*u - 828. What is the remainder when u is divided by 9?
3
Let n = -115 + 153. Let y be (1 - -45)/((-4)/(-2)). Let u = n - y. What is the remainder when 43 is divided by u?
13
Suppose -42 = -30*t + 23*t. Suppose 0 = 2*v - 5*i + t*i - 19, 0 = 5*v + 5*i - 35. Let a = 235 + -165. Calculate the remainder when a is divided by v.
10
Let v = 721 + -382. Calculate the remainder when v is divided by 374/17 - (1 + 1).
19
Suppose 0 = -9*i + 48 + 60. Suppose i*p - 135 = 11*p. Calculate the remainder when p is divided by 36.
27
Suppose -8*g + 51 = 11. Suppose g*s - k = 2*s + 20, -5*k + 19 = 2*s. Suppose 0 = -5*u - 0*u + 240. What is the remainder when u is divided by s?
6
Let c = -312 - -270. Calculate the remainder when 19 + 11/(77/c) is divided by 3.
1
Suppose 0 = 4*d + 4*k - 952, 243 = -30*d + 31*d + 2*k. Calculate the remainder when 483 is divided by d.
17
Let g be (-12)/(-6) + 6/2. Suppose g*x = 40 - 170. Let c = 39 + x. What is the remainder when 24 is divided by c?
11
Let y = 3429 + -3305. Calculate the remainder when 641 is divided by y.
21
Suppose j - 12*v = -8*v + 754, 0 = 2*j + 3*v - 1574. What is the remainder when j is divided by 13?
11
Suppose f - 103 = 3*d, 4*f + 2*d + 3*d - 480 = 0. Calculate the remainder when f is divided by 2 + (-9)/6 - (((-3395)/70 - -29) + 11).
7
Suppose o = 5*o - 4*w - 188, -92 = -2*o + w. Suppose 0 = -7*i + 2*i + o. Suppose 0*s + 4*s = -k + 4, 3*s = -i. Calculate the remainder when k is divided by 4.
0
Suppose -3*c + 4*w + 15451 = 0, -2*c - 5162 = -3*c - w. Calculate the remainder when c is divided by 29.
24
Suppose -3*h = 2*p - 269, 0 = 3*p - 2*p - 4. Let o = -113286 - -113459. Calculate the remainder when o is divided by h.
86
Suppose 157*w = -113*w + 4320. What is the remainder when 3183 is divided by w?
15
Let z(j) = 397*j - 765. Let v = -106 + 170. Let u = v - 46. What is the remainder when z(2) is divided by u?
11
Let m = 14845 + -14843. Suppose 0 = h - 6*h + 45. Let s = h + -8. Calculate the remainder when m is divided by s.
0
Let c be (105/28)/(6/40). Suppose 30*g - c*g = 245. Calculate the remainder when g is divided by 37.
12
Let l = 25 - 24. Suppose p + l - 2 = 0, -5*i = -5*p - 10. Suppose i*b + 16 = 103. Calculate the remainder when b is divided by 16.
13
Let u(q) = 5*q - 8*q + 20*q**2 + 4*q - 9 + q. Let j be u(3). Suppose 5*y - 32 = -3*l + j, 337 = 4*l - 5*y. Calculate the remainder when l is divided by 41.
37
What is the remainder when 322 is divided by 3/(-5) - (-3 - 1344/15)?
46
Suppose -3*a + 109 - 16 = 0. What is the remainder when 388/(-28)*(-46 + (-4 - -43)) is divided by a?
4
Calculate the remainder when 564 is divided by 6*(2/10)/((-16)/(-2120)).
87
Calculate the remainder when 6204 is divided by (99/55)/(1090/(-100) + 11).
12
Suppose p - 227 = 101. Suppose -p = -8*n + 288. Calculate the remainder when 145 is divided by n.
68
Let c = 161 - 167. Calculate the remainder when (c/(-4))/(-3 + 321/106) is divided by 8.
5
Let j = -4741 + 4975. Calculate the remainder when j is divided by 102.
30
Let r(m) be the second derivative of 2*m**3/3 - 23*m**2/2 + 9*m. Let h be r(7). Calculate the remainder when 86 is divided by (23 - (-1 - 1)) + h.
26
Suppose 0 = -5*o + 4*c + c + 3400, -2*o + 1368 = 2*c. What is the remainder when o is divided by 223?
13
Suppose -4*c + 12 = 32, 3*t = 2*c - 8. Let b(a) = 4*a**2 + 12*a + 4. Calculate the remainder when b(t) is divided by 13.
11
Suppose -183*o + 59*o = -80*o - 2332. Calculate the remainder when 1003 is divided by o.
49
Let z(o) = o**3 + 24*o**2 + 2*o + 83. Suppose 4*j + 65 + 31 = 0. Calculate the remainder when 135 is divided by z(j).
30
Let w = 1 + 1. Suppose 0*g + b + 625 = 4*g, -2*b = -g + 151. Let t = 160 - g. What is the remainder when t is divided by w?
1
Suppose 10*i - 2279 = -9*i - 1937. What is the remainder when 27753 is divided by i?
15
Let x = -59 + 51. Let b be (2/(x/(-20)))/((-4)/40). What is the remainder when 14 is divided by (b/4 + 5)*4/(-5)?
2
Suppose -13*x - 362 = -15*x + 4*k, -k - 182 = -x. Calculate the remainder when x is divided by 31.
28
Suppose 1130*q - 5100 = 1110*q. What is the remainder when q is divided by 32?
31
Suppose -9*b - 59*d + 1366 = -57*d, -3*b - 5*d = -451. Calculate the remainder when 928 is divided by b.
16
Suppose -160 + 529 = r. Suppose -c = 4*x + 2*c - r, 5*x - c = 447. What is the remainder when x is divided by 33?
24
Suppose -32 = -2*d - 5*w, 4*d - w - 44 = 2*d. Suppose d = -5*j + 8*j. What is the remainder when 28 is divided by (j - 4/1) + 13?
12
Let i(u) = 4*u + 19. Let d be i(-7). Let a = -63 + 85. What is the remainder when 2/d + 1461*6/81 is divided by a?
20
Let i = 116 + -114. Let u be (2 - 1)*(-2 + i)/3. Suppose -5*f + 3*m + 111 = u, -2*f + f - 4*m = -13. Calculate the remainder when 40 is divided by f.
19
Suppose -4*x + 3*c = 363, -5*x + 4*c - 216 - 237 = 0. Let a = x - -118. What is the remainder when (14/5)/((-6)/(-105)) is divided by a?
24
Calculate the remainder when -15*18/189*7*(-120 + -1) is divided by 241.
5
What is the remainder when 272 is divided by (2 - 144/(-15))/(17/85)?
40
Let d(z) = z**3 - 11*z**2 - 8*z + 203. Calculate the remainder when d(11) is divided by 90.
25
Suppose 15 = -3*v, -25*v = 10*r - 24*v - 64945. What is the remainder when r is divided by 38?
35
Suppose -2*y = -q + 34, 4*q - y + 0*y - 136 = 0. Calculate the remainder when q is divided by 23 + 4 + -6 - (-2 - -3).
14
Suppose 5785 + 20 = 45*k. Suppose n = -5*t + 39, -n + 6*n = 5*t + 75. What is the remainder when k is divided by n?
15
Suppose 12*v - 1348 = -736. Calculate the remainder when v is divided by (4 - 15)/(1 - (-2 - -4)).
7
Suppose 2*k - 108 = 6*k. Let m = 43 + k. Calculate the remainder when m is divided by (-5)/((-10)/(-8)) + 38 + (-43 - -12).
1
Suppose 3*w = 5*d + 4867, 5*w + 11*d - 8149 = 14*d. What is the remainder when w is divided by 39?
35
Suppose 0 = -4*u + 5*z + 70, 220*u - 4*z + 22 = 222*u. What is the remainder when 1107 is divided by u?
12
Suppose 0 = -23*z - 67*z + 24390. What is the remainder when z is divided by 267?
4
Calculate the remainder when 18645 is divided by ((-11529)/(-305))/((-6)/(-20)).
123
Suppose 66 = 13*k - 0*k + 1. Calculate the remainder when 457 is divided by k.
2
Let d = 238 + -233. Calculate the remainder when 471 is divided by ((-215)/d*(-2 - -1))/1.
41
Suppose -6*x = -25*x + 14763. Suppose -m - 20*m = -x. What is the remainder when 702 is divided by m?
36
Suppose 0 = 7*k + 9*k - 32. What is the remainder when 347 is divided by (k + (-423)/(-6))*4/5?
57
Let q be 9/1 - 60/12. Suppose 0 = -4*a - 8, -3*n = -q*n + a + 39. What is the remainder when 108 is divided by n?
34
Let z be (-11 - -1)*3/(-6). Let s be 9*z/30*2. What is the remainder when 73 is divided by (10*(5 - s))/(3 + -2)?
13
Suppose 0*v + 2*v = 544. Let i = -114 + 166. Suppose 0 = 4*a - v + i. What is the remainder when a is divided by 15?
10
Suppose 5*d - 18*h = -14*h + 99, 0 = -d - h + 18. What is the remainder when 24*(-5)/((-15)/33) is divided by d?
17
Suppose 45*y - 26341 - 50 = 14784. Calculate the remainder when y is divided by 297.
24
Let z = 561 - -3617. What is the remainder when z is divided by 22?
20
Suppose -2*h = 3*b + 16, 3*b + 18 = 6. Let u(s) = -13*s - 23. Let x be u(h). What is the remainder when 23 is divided by (x/(-9))/(6/(-144))?
7
What is the remainder when ((-15)/(-15))/((-5)/80)*(-517 + 3) is divided by 121?
117
Let f(w) = -792*w - 2021. What is the remainder when f(-5) is divided by 108?
103
Suppose j + 18 - 933 = 0. Let s = 26 - -15. Calculate the remainder when s is divided by 4/6 + j/45.
20
Suppose -5*n = -3*n - k - 42, -n - 2*k + 31 = 0. Suppose 2*m - 2*w = 13 + n, 4*w = -m + 23. What is the remainder when 64 is divided by m?
7
Suppose 4*z - 162 = -3*w, z + 4*w + 109 = 4*z. Suppose -6*n + 105 + z = 0. Calculate the remainder when 334 is divided by n.
22
Suppose -y + 187 = 2*s + 2*y, y - 359 = -4*s. Calculate the remainder when s is divided by (-1)/(55/99)*(-80)/6.
17
Suppose 0 = -2*w - 17 + 27. Suppose -6*b - 2*d = -w*b - 213, d = 3*b - 618. What is the remainder when b is divided by 70?
67
Suppose 5*x - 11340 = 2*s + 6249, 3*s = -3*x + 10566. Calculate the remainder when x is divided by 88.
87
Suppose -23 = -427*i + 426*i - 3*k, -3*i - k + 117 = 0. What is the remainder when i is divided | {
"pile_set_name": "DM Mathematics"
} |
= -0.1576 - 747.8424. Let x = l + 747.99997415. What is x rounded to 6 dps?
-0.000026
Let o = -0.622357497 + 0.29565993. Let m = o - -0.3267. Round m to 6 dps.
0.000002
Let q = -0.2214 - -77.1294. Let x = q - 77. Let m = x - -0.1315. What is m rounded to three decimal places?
0.04
Let c = 16 - 44. Let x = 3 - c. Let s = x - 32.8. Round s to the nearest integer.
-2
Let u = 14748 - 14748.000019639. What is u rounded to seven dps?
-0.0000196
Let u = -11088 + 11088.06711. Round u to 2 dps.
0.07
Let k = 19.75671813 + -19.757. Round k to four dps.
-0.0003
Let l = -0.032 + 0.508. Let v = -0.034 - l. Let g = 0.50999972 + v. Round g to 7 decimal places.
-0.0000003
Let x = 0.3948 + -0.536. What is x rounded to two dps?
-0.14
Let m(i) = -69*i**3 + 4*i**2 - 6. Let y be m(-2). Suppose 129 - y = -k. Let c = -633 + k. What is c rounded to the nearest 100?
-200
Let o = -68899073.8713743203659 - 891650969617.1286251126341. Let a = -891719867995 - o. Let i = 696 - a. What is i rounded to 7 decimal places?
0.0000006
Let f(d) = d**2 - 6*d - 23. Let s be f(9). Suppose 4*a = -3*l + 4994, -2*l + 7732 = s*a + 2736. What is a rounded to the nearest 100?
1300
Let s = 2173.9999987575 - 2174. What is s rounded to 7 decimal places?
-0.0000012
Let c = 0.33 - -8.67. Let m = -119 - c. Let h = 127.999941 + m. What is h rounded to five decimal places?
-0.00006
Let d(c) = -4*c**2 - 3*c**2 + 8*c**2 - 20 + 16. Let u be d(0). Let t be 758/10 - -1*u/(-20). What is t rounded to the nearest 10?
80
Let f = 103.53 + -91.1. Let k = -12.6 + f. What is k rounded to two decimal places?
-0.17
Let o be -909941 - (-567)/27*1. Round o to the nearest 10000.
-910000
Let h be 3*(-6)/(-3)*(-40)/(-15). Suppose -h*c + 13*c = 588. Let g = c - 1154. What is g rounded to the nearest 100?
-1400
Let k = -0.2083 + 0.37687. What is k rounded to three dps?
0.169
Let u = -3025.2 + 3022. Let q = -1131812.17999713 + 1131815.38. Let c = u + q. Round c to six decimal places.
0.000003
Let z = -792.061411 - -792.1. What is z rounded to four dps?
0.0386
Let z = 0.21767 - 0.2211095. What is z rounded to four decimal places?
-0.0034
Suppose 187*c - 75*c + 5529596 = -100*c. Round c to the nearest one hundred.
-26100
Let z = -91903363885 - -91903425281.899941. Let t = -61395.6 + z. Let k = 1.3 - t. What is k rounded to five decimal places?
0.00006
Let y = -0.024972 + 0.0177559. Round y to three dps.
-0.007
Let q = 702.61 + -1743. What is q rounded to the nearest one hundred?
-1000
Let m(d) = -79*d**2 + 21*d - 26. Suppose 0*y + 6*y - 132 = 0. Let k be m(y). Round k to the nearest 1000.
-38000
Let m = -6766 - -6766.00014923. Round m to 6 dps.
0.000149
Let g = -8728.1382 + 8727. Round g to one dp.
-1.1
Let g = -13.599 - -13.5975455. Round g to five decimal places.
-0.00145
Let m = 268465288 - 268465288.225000938. Let p = m - -0.225. What is p rounded to 7 decimal places?
-0.0000009
Let k = 2.6 + -0.3. Let c = 20.85 - k. Let l = -2.05 - c. What is l rounded to the nearest integer?
-21
Suppose 13 = y + 8. Suppose -y*n = -n - 15599968. Suppose 5 = a + 1, -2*a = t + n. What is t rounded to the nearest one million?
-4000000
Let w = 2137.5 + -2288.652. Let h = w - -151. What is h rounded to 2 decimal places?
-0.15
Let j(i) be the second derivative of i**3/6 - 4*i**2 + 16*i. Let s be j(-10). Let b be ((s/(-4))/(-9) + 1)*358. What is b rounded to the nearest 10?
180
Let t = -33.4 - -6.4. Let b = 26.5 + t. Let s = b - 52. What is s rounded to the nearest ten?
-50
Let k = 235.508 - 0.508. Let r = k - 228.35. What is r rounded to 1 dp?
6.7
Let o = 0.7 + -0.3. Let s = 0.411 - o. Let z = 0.016 + s. What is z rounded to two dps?
0.03
Let k = 4886.78 - 4932. Let o = 45 + k. Let g = o + -0.2. What is g rounded to 1 decimal place?
-0.4
Suppose 3*m = 4*b - 240 + 3, 4*b - 5*m - 235 = 0. Let k = 61 - b. Let f(y) = 6101*y**3 + y**2 - 2*y. Let v be f(k). Round v to the nearest one thousand.
6000
Let u = -7307.6 + 6057. What is u rounded to the nearest 10?
-1250
Let x = -8421.99999566 + 8422. Round x to 6 decimal places.
0.000004
Let v = 0.004 + -1228.004. Let d = -1227.9999449 - v. Round d to five dps.
0.00006
Let l = -914 + 1280. Let b = 1033724350.9999829 - 1033723985. Let m = l - b. Round m to 6 decimal places.
0.000017
Let i = -2.6736 + 2.7. Let w = i - -4.3136. Round w to 1 dp.
4.3
Let m = 704.95945 + -1.14945. What is m rounded to the nearest integer?
704
Let v(m) = -58911*m + 157. Let u be v(-13). Round u to the nearest 100000.
800000
Suppose -5*s = g + 4366, 0*s = -5*g + 2*s - 21911. Let b = -1211 - g. Round b to the nearest 10000.
0
Let k(n) = -919*n**2 + 4*n - 1. Let b be k(3). Let a = 19464 + b. Suppose -l + 5*r - a = 7*r, 5*l + 2*r = -56004. Round l to the nearest 1000.
-11000
Let y = 780.52525 + 0.07475. What is y rounded to the nearest 10?
780
Let v = -5946534.69125 - 16.30875. Let p = v + 5946597.000005. Let u = p - 46. Round u to five decimal places.
0.00001
Let f(n) = -5*n + 142. Let c be f(29). Let j be ((-20)/(-3))/(3*c/5332500). Round j to the nearest one million.
-4000000
Let k = 0.528 + -169.728. Let j = k - -169.200000691. Round j to 7 dps.
0.0000007
Let z = -154103 + 80027. Round z to the nearest ten thousand.
-70000
Let f = -1647069.99792 + 1646917. Let p = f - -153. Round p to four decimal places.
0.0021
Let x = -244.6 - 48.4. Let a = -292.23 - x. What is a rounded to the nearest integer?
1
Let d = -18775.00000044623 - -18775. What is d rounded to 7 dps?
-0.0000004
Let y = 4139345 - 1884045. What is y rounded to the nearest 100000?
2300000
Let o = -0.0386 - 1.538. Round o to 2 decimal places.
-1.58
Let f = -9330 - -9330.7663. Round f to 1 decimal place.
0.8
Let v = 58 - 57.69. Let g = v + -3.01. Let d = -2.69999985 - g. What is d rounded to 7 dps?
0.0000002
Let s = 21852 + -21944.917. Let o = 1.617 + s. Round o to the nearest ten.
-90
Suppose 0*f = -139*f - 14481020000. What is f rounded to the nearest 1000000?
-104000000
Let y = 3035.000001559 + -3035. What is y rounded to 6 dps?
0.000002
Suppose 0 = 4*b - 10 + 2. Let m be 148/b*(-1287)/(-18). Let c = 309 + m. Round c to the nearest 1000.
6000
Let w = -986 + 288. Let c = w - -808.1. Let p = c + -106. Round p to zero dps.
4
Let j = -2385 + 2384.95113. What is j rounded to 4 dps?
-0.0489
Let n = -45028 - 2817972. Round n to the nearest 100000.
-2900000
Let h = 213 - 123. Let d = -89.89 + h. Let c = 0.109495 - d. What is c rounded to 4 decimal places?
-0.0005
Let x = -78886.957 + 78850. Let k = 37 + x. Let c = k + 9.857. What is c rounded to zero dps?
10
Let k = 1568.9874 - -0.5126. Round k to the nearest 100.
1600
Let w(a) = -a**3 - 9*a**2 + 12*a + 24. Let g be w(-10). Suppose -g*n = -6*n + 28. Suppose 0 = 9*m - n*m + 2975. What is m rounded to the nearest one hundred?
600
Let a = 346.9 - 346.90002476. What is a rounded to six decimal places?
-0.000025
Suppose 9*q - 7*q = 18. Suppose -q*d = -5*d + 351856. Let i = -10964 - d. Round i to the nearest ten thousand.
80000
Let b = 6.336 - -468.564. Let g = 474.89998101 - b. What is g rounded to 6 dps?
-0.000019
Let k = 599.29871 - -25916704.70129. Let o = k - 25917269.000082. Let y = o - 35. What is y rounded to 5 dps?
-0.00008
Let h = -6674.257 + 6684. Let t = 184 - 174.3. Let w = h - t. What is w rounded to 2 dps?
0.04
Let k = 7918.9 - 7614. Let r = -309.462 + k. Let q = 0.302 + r. Round q to 1 decimal place.
-4.3
Let t = 13.818 + -15.1946. What is t rounded to one decimal place?
-1.4
Let w = 199.126705712 - 0.126123712. Let a = 199 - w. What is a rounded to four decimal places?
-0.0006
Let r = 636.3 + -621.11. What is r rounded to the nearest integer?
15
Let o = -46501.9980169 - -46502. What is o rounded to 5 decimal places?
0.00198
Let f = -934 - -884. Let b = -5 - -2. Let i = b - f. What is i rounded to the nearest ten?
50
Let h = 2.03 - 1.809. Let k = h + -0.220981. What is k rounded to six dps?
0.000019
Let w(k) = 21*k**2 + 28*k + 14. Let v be 1*(-44)/(4 + 0). Let t be w(v). Let f be (t - -3)/((-4)/304). Round f to the nearest ten thousand.
-170000
Let b = 323 + -1531. Let q = -1207.99999321 - b. Round q to seven dps.
0.0000068
Suppose 14*k - 28904400 = -17*k. Round k to the nearest one hundred thousand.
900000
Let h = -2.51 - 231.49. Let j = h - -235.67. Let k = j + -1.6700073. What is k rounded to 6 dps?
-0.000 | {
"pile_set_name": "DM Mathematics"
} |
c*x - 12600. Round x to the nearest one thousand.
1000
Let z = 84924 + -84754.692. Let x = z - 170. Let h = x + 0.122. What is h rounded to one decimal place?
-0.6
Let b = 4827.08 + -4918. Let t = 90.3 + b. Round t to two decimal places.
-0.62
Let o = 838 + -837.98926. What is o rounded to two decimal places?
0.01
Let q = 8354008 + -4993008. Round q to the nearest one hundred thousand.
3400000
Let r = 88777973 - 88785171.31065. Let x = r + 7198. Let k = 0.31 + x. What is k rounded to 4 dps?
-0.0007
Let n = -0.147 + 13.347. Let h = 4.8 + n. Let w = 15.72 - h. What is w rounded to one dp?
-2.3
Let o = -8046 + 8046.005451. What is o rounded to 4 dps?
0.0055
Let y = 0.035 + -0.313. Let h = 26.422 - y. What is h rounded to the nearest 10?
30
Suppose 0 = -3*b + 5*m + 355146, -2*b - 4*m = -4*b + 236766. Suppose 22623 = 5*l - b. What is l rounded to the nearest 10000?
30000
Let a = 66 - -9985. Let w = a - 34651. What is w rounded to the nearest ten thousand?
-20000
Let x = 28869 - 28855.00025. Let p = -1792 + 1778. Let m = p + x. Round m to four dps.
-0.0003
Let h = 43.9 + -4.9. Let i = -4129.11 + 4168. Let b = i - h. What is b rounded to one dp?
-0.1
Suppose -60475212 = -29*a + 42207988. What is a rounded to the nearest ten thousand?
3540000
Let p = -228 - -62. Let c = 165.9965 + p. What is c rounded to three decimal places?
-0.004
Let b = 3100 - 3099.99996106. What is b rounded to five decimal places?
0.00004
Let d = -16895.994779 - -16896. What is d rounded to 4 decimal places?
0.0052
Let y = 215 - 259. Let j = 44.00034 + y. What is j rounded to 4 dps?
0.0003
Let d = -1912.571 + 1921.5. Let l = d + -10.04. Round l to 1 dp.
-1.1
Let p = -345376 + 345375.999805381. What is p rounded to 6 decimal places?
-0.000195
Let n = -309204346.29998885 + 309204400. Let w = n - 53.7. What is w rounded to six decimal places?
0.000011
Let u = 6.468994964 - 6.469. Round u to 7 dps.
-0.000005
Let g = 0.89 + -0.964. Let t = g + 60.074. Let k = -59.476 + t. What is k rounded to 1 decimal place?
0.5
Let t = 1.985 + -1.985024642. What is t rounded to 5 decimal places?
-0.00002
Let l = 7286.83 - 7287.660194. Let f = -0.83 - l. What is f rounded to 5 dps?
0.00019
Let k = -2 - -1.984. Let t = 14.3090208 - 14.293. Let y = k + t. Round y to six decimal places.
0.000021
Let n = -0.0223517 - -0.019758. Round n to 3 dps.
-0.003
Let o = 4934076903 - 12401155690. Let s = -7467078740.99999939 - o. Let u = 46 - s. What is u rounded to 7 decimal places?
-0.0000006
Let g = 23226.97 + -23014. Let l = g - 213. What is l rounded to zero decimal places?
0
Let s = 3.02 - 3.735. Let x = 0.9 + s. Let c = -0.326 + x. What is c rounded to one dp?
-0.1
Let y = -2848330 + 6707176. Suppose -i = -7*i - y. Let r = i + 943141. Round r to the nearest one million.
0
Let y = 6.867384352 - -7.3326161. Let q = -14.2 + y. What is q rounded to seven dps?
0.0000005
Suppose 6*d - 972000 = 2*d. Suppose 9*q - 24 = -3*q. Suppose -y - d = q*y. Round y to the nearest 10000.
-80000
Let w = -228.4 + 6.4. Let q = -221.999999364 - w. Round q to seven decimal places.
0.0000006
Let b = 0.447 + -190.447. Let p = -607 - b. Let s = -417.000507 - p. What is s rounded to four dps?
-0.0005
Let w = 5 + -110. Let o = -104.819 - w. What is o rounded to 2 decimal places?
0.18
Let w(f) = 2289999*f - 7. Let k(x) be the second derivative of x**2/2 + 32*x. Let i(a) = 5*k(a) + w(a). Let t be i(-2). Round t to the nearest one million.
-5000000
Let w = 68347 + -20222. Round w to the nearest ten thousand.
50000
Let g = -0.00263 + 0.00857. Round g to three decimal places.
0.006
Suppose 0 = 5*b - 3*b. Suppose b = -o - 2*c - 99649048, c - 398596165 = 4*o - 0*c. Let s = o - -146149042. What is s rounded to the nearest 1000000?
47000000
Let r = -12117 - -12023.3. Round r to the nearest one hundred.
-100
Let t(f) = -20*f**3 - 6*f**2 - 4*f + 20. Let d be t(5). What is d rounded to the nearest ten?
-2650
Let q be (-649 - 3) + 913/83. Round q to the nearest 10.
-640
Let i = -2235.10905 + 2235. Let o = 426.89 + -427. Let m = o - i. What is m rounded to 4 decimal places?
-0.001
Let d be (3*16/(-36))/(1/30). Let a be (-520)/(-6)*(-535380)/d. Suppose 3*t - 4*t = 3*b + 3479998, 5*t + a = -b. Round b to the nearest one hundred thousand.
-1200000
Let i = 5428 - 5428.02964. Round i to one decimal place.
0
Suppose -4*y = -8 - 4. Let c be -1*(-1026 - 2)*6. Suppose -y*h + c - 678 = 0. What is h rounded to the nearest one hundred?
1800
Let c(t) be the third derivative of 11*t**6/120 + t**5/15 + 5*t**4/12 - 4*t**3/3 + 160*t**2. Let v be c(6). Round v to the nearest 100.
2600
Suppose -3*g + 95216308 = -3267452. Suppose 14*y + 33392080 = -g. What is y rounded to the nearest 100000?
-4700000
Let z = -4.947 - 786.353. Round z to the nearest 100.
-800
Suppose -j = -2433 - 2397. Let v be (-7995 + -5)*j/8. What is v rounded to the nearest one hundred thousand?
-4800000
Let y(d) = 36421*d - 197. Let z be y(21). Let l = 1424644 - z. Round l to the nearest 1000000.
1000000
Let t = 14.97978 + -14.973. What is t rounded to 3 dps?
0.007
Let u = -1002843423 - -2164806481. Let z = -1161963053.30000003 + u. Let p = z - 4.7. What is p rounded to 7 decimal places?
0
Let v = 53986.028599 - 53986. What is v rounded to 2 dps?
0.03
Let y = -25649.000053054 - -25649. Round y to six dps.
-0.000053
Let n = 946337408 - 644013255. Let b = n + -302324512.999538. Let h = -360 - b. Round h to four dps.
-0.0005
Let l = 0.1 + 1.43. Let q = -3694310 - -3694311.529917. Let v = l - q. What is v rounded to 5 decimal places?
0.00008
Let q = -45.907899495 - -45.908. Round q to five dps.
0.0001
Let r = -3683 - -3683.1487. Let b = r + -0.0204. What is b rounded to three dps?
0.128
Suppose -6*u + u - 4*f = 12, 4*u = f + 3. Suppose j + 1 = u, -5*j = -o + 2*o - 5289995. Round o to the nearest 100000.
5300000
Let v = 67.65 + 0.35. Let a = -1174.7911 - -1242.782. Let w = a - v. Round w to 3 decimal places.
-0.009
Let y = -2522.0686 - -2522. What is y rounded to two dps?
-0.07
Let z = 3582 - 3581.9999906077. Round z to 7 decimal places.
0.0000094
Let u = -2973.77240092 + 2988.7724. Let d = 0.04 - -14.96. Let m = u - d. Round m to 7 decimal places.
-0.0000009
Let d be 4932956/(-16)*-1 - (6 - (-100)/(-16)). Round d to the nearest 1000.
308000
Let q = -15.09293644 + 15.093. Round q to 6 dps.
0.000064
Let w = 119 - 115. Let g = w - 4.66. Let y = g + 0.66000528. What is y rounded to 7 dps?
0.0000053
Let i = -39795.8107 - -39719.8. Let k = 76 + i. What is k rounded to two dps?
-0.01
Let q = 4.99 + 25.278. Round q to 1 dp.
30.3
Let k = 249 - 273.2. Let s = k - -154.2. Let v = 129.9804 - s. Round v to three decimal places.
-0.02
Let t = -14.68 + 14.680000075. Round t to 6 decimal places.
0
Let i = 6 - 2. Suppose f - i*f = 0. Suppose f*y - 25 = y. Round y to the nearest 10.
-30
Let y = 44 - 17. Let q be (-1405)/(9/y*(-6)/(-4000)). What is q rounded to the nearest 100000?
-2800000
Let y = -37926.38424 - -37927. Round y to 2 decimal places.
0.62
Let k = -9646.334 + 9662. Let i = 2.4 - 2.634. Let c = i - k. What is c rounded to the nearest integer?
-16
Let x = -25499.6 - -28654. What is x rounded to the nearest one hundred?
3200
Let f = 4214 - 3923. Round f to the nearest 10.
290
Let p = 0.0856 + -0.4629. Round p to one decimal place.
-0.4
Let a = 651 + -650.93372. Round a to 3 decimal places.
0.066
Let c = 0.218 + 65.782. Let g = c + -66.0271. What is g rounded to 2 dps?
-0.03
Let j = 14 - -12. Let m = 24 - j. Let y be -1560000 - (-2*4/m + -4). What is y rounded to the nearest one hundred thousand?
-1600000
Let c be (-57)/(-11) + (-20)/110. Let v be 6/(-45) + (-64)/(-30). Suppose -n - d - 82798 = -c*n, -2*n - v*d = -41404. What is n rounded to the nearest 1000?
21000
Let r = -0.2308 + 0.21004. Round r to two dps.
-0.02
Suppose -4*h = -7*g - 6840, -g + 199 = h + 1173. What is g rounded to the nearest one hundred?
-1000
Let l = -928390398355 + 928390397299.000001274. Let t = -1056 - l. What is t rounded to seven dps?
-0.0000013
Let b = 4539 + -4539.9308. Round b to 2 decimal places.
-0.93
Suppose -4*d = -3*o + 152, -3*d - 190 = 2*d - 4*o. Let m be (-8 + -32)*d/(-8)*2. What is m rounded to the nearest one hundred?
-400
Let p(u) = 1036561*u**3 - 22*u - 15. Let s be p(5). Round s to the nearest 1000000.
130000000 | {
"pile_set_name": "DM Mathematics"
} |
x**2 + c**3*x - 3*c**2*x**2 + 52*c*i*x**2 + 2*c*i + 443*x wrt x?
-2*c**3*i - 6*c**2 + 104*c*i
What is the third derivative of 494*j**2*n**3*r + 2*j**2*n - j*n*r + n**2 wrt n?
2964*j**2*r
Find the second derivative of -c**5 + 2222*c**4 + 2*c - 200 wrt c.
-20*c**3 + 26664*c**2
Find the third derivative of d**2*u**3 + 273*d**2*u**2 + 3*u**6 + 116*u**4 wrt u.
6*d**2 + 360*u**3 + 2784*u
Find the second derivative of 3*a**5*b*h - 16*a**3*b*h - 25*a*b*h - 22*a*h + b*h wrt a.
60*a**3*b*h - 96*a*b*h
Find the third derivative of -200*m**2*q**3 + 3*m**2*q**2 - 94*m**2*q - 3*m*q**5 wrt q.
-1200*m**2 - 180*m*q**2
Differentiate i**2*x - 1660*i**2 + 946*x with respect to i.
2*i*x - 3320*i
Find the second derivative of 40*c*o**2 - 11*c*o - 2 wrt o.
80*c
Find the third derivative of -67*b**4 + 2*b**3 + 339*b**2.
-1608*b + 12
Find the third derivative of 271*m**3*t**2 - 2*m**3 - 5*m**2*t**2 - 15*m**2*t + 3*m wrt m.
1626*t**2 - 12
Differentiate 6*m**3 - m**2 + 309*m + 8887.
18*m**2 - 2*m + 309
Find the second derivative of 3*i*u**2*w**2 + 8*i*u**2*w - i*u**2 + 2*i*u*w**2 + 18*i*u*w - 98*i*w**2 wrt w.
6*i*u**2 + 4*i*u - 196*i
Find the first derivative of 150*f*v - 3*f*x**3 - 149*f - v*x**3 - x + 1 wrt v.
150*f - x**3
Find the first derivative of 8*u**2*w**2 - 691*u**2 - 87*w**3 wrt w.
16*u**2*w - 261*w**2
What is the second derivative of 19411*c**2 - 928*c?
38822
Find the second derivative of 565*r*w**3 + 3*r + 15*w**3 + 2*w + 188 wrt w.
3390*r*w + 90*w
What is the first derivative of -254*c - 102?
-254
Find the first derivative of 296*n*s*x + 104*n*x - 3*n wrt s.
296*n*x
Find the third derivative of 10320*x**5 - 7*x**2 + 83.
619200*x**2
Find the second derivative of -28*p**4 - 9*p**3 + 438*p.
-336*p**2 - 54*p
Find the second derivative of 5*g**2*s**4 + 2*g**2*s - 59*g**2 - 16*g*s**2 wrt s.
60*g**2*s**2 - 32*g
What is the derivative of -124*c**4*n**3 - 15*c*n**3 - 2*n**3 + 52*n**2 - n wrt c?
-496*c**3*n**3 - 15*n**3
What is the derivative of 1352*y + 294 wrt y?
1352
What is the second derivative of 20*y**5 - 44*y**4 - 3*y - 18?
400*y**3 - 528*y**2
Find the second derivative of 265*g*k**2 + 443*g*k - 9*k**2 - 1 wrt k.
530*g - 18
What is the first derivative of 1342*f**2*i**2 - 4*f**2 - 12*i**2 - 4*i - 16 wrt f?
2684*f*i**2 - 8*f
Differentiate -34056*t**3 - 10163.
-102168*t**2
Find the first derivative of 4*j**2*q**2 - 20*j**2*q + 127*j**2 + 2*j*q**2 wrt q.
8*j**2*q - 20*j**2 + 4*j*q
Find the first derivative of 3969*n + 2797 wrt n.
3969
Find the second derivative of -2*d*s**3 + 16*d*s + 4*d - 2274*s**3 + 74 wrt s.
-12*d*s - 13644*s
What is the first derivative of 21*n**2*o - 3*n**2 + 4*n*o - 2276*o + 2 wrt n?
42*n*o - 6*n + 4*o
What is the second derivative of 10*l**4*z - 2*l**2*z**2 + 4*l**2 + l + 51*z**2 wrt l?
120*l**2*z - 4*z**2 + 8
What is the first derivative of -8*b**3*i*o + 4*b**3*i + 3*b**3*o**2 - 65*b**2*i + 28*i*o wrt o?
-8*b**3*i + 6*b**3*o + 28*i
Find the third derivative of -3*m**2*s**3*u**3 + m**2*s**3*u + m**2*s*u**3 - 3*m**2*s - 4*m*s**2*u**2 - 2*u**3 wrt u.
-18*m**2*s**3 + 6*m**2*s - 12
Differentiate 20*d*p*u**3 + 2*d*u**3 + 11*d + 7*p*u**3 - 8*u**2 with respect to p.
20*d*u**3 + 7*u**3
What is the derivative of d**4 - 160*d**2 - 469?
4*d**3 - 320*d
What is the derivative of -2*o*x*y**3 - 2*o*x*y + 29*o*y - 21*x**3*y - 2*y**3 wrt x?
-2*o*y**3 - 2*o*y - 63*x**2*y
What is the second derivative of -17*p*r*t**2 + 3*p*r - p*t**2 - 9*r*t**2 + 2*r*t + 2*r + 2*t wrt t?
-34*p*r - 2*p - 18*r
Differentiate -14*i**2*s - 3*i*s + s + 209 with respect to i.
-28*i*s - 3*s
Find the third derivative of 5265*o**5 - 5294*o**2.
315900*o**2
Differentiate -2*f**3*m*u - 2*f**3*m + 6*f**3*u - 81*f**3 + 2*f**2*u + 2*m*u with respect to m.
-2*f**3*u - 2*f**3 + 2*u
Find the second derivative of -3559*y**4 + 3973*y.
-42708*y**2
What is the third derivative of -2*l*z**3 - 225*l*z - 189*z**3 - z**2 wrt z?
-12*l - 1134
Find the third derivative of i**6 + 45*i**5 - 54*i**2 + 4*i wrt i.
120*i**3 + 2700*i**2
Find the third derivative of 33*c**6*o - 3*c**4*o + 2*c**2 - 3*o wrt c.
3960*c**3*o - 72*c*o
What is the third derivative of 144*k**6 + 2*k**5 + 7*k**3 - 211*k**2 + 8*k wrt k?
17280*k**3 + 120*k**2 + 42
Differentiate 3*i**2*o + 1343*i**2 + 68*i*o wrt o.
3*i**2 + 68*i
What is the second derivative of 385*x*z**3 + 6*x*z + 2*z**3 + 45*z + 2 wrt z?
2310*x*z + 12*z
Find the third derivative of 31*l**6 - 418*l**2 wrt l.
3720*l**3
What is the third derivative of -2*a**3*o**3*s + 9*a**3*o**3 - 7*a**3*o*s + 2*a**2*o**3*s - 2*a**2*o**2*s + 23*a**2*o*s + a*o**3*s wrt a?
-12*o**3*s + 54*o**3 - 42*o*s
Find the third derivative of 7851*w**3*x - w**2*x + 69*w**2 - 6*w - 2*x wrt w.
47106*x
What is the second derivative of 2*k*r**2*s - 51*k*s**3 - 2*r**2*s**3 - r**2*s**2 + 8*r**2*s + 83*r**2 wrt s?
-306*k*s - 12*r**2*s - 2*r**2
Find the second derivative of -2*f*s**2 + f*s*w**3 + 8*f*s*w**2 - s**2*w**3 - 3*s**2*w + 9*s*w**3 - 2*s*w**2 wrt s.
-4*f - 2*w**3 - 6*w
Find the second derivative of 6097*b**2 - 103*b - 25 wrt b.
12194
What is the third derivative of -3*k*p*q**3 + 33*k*p*q**2 + 4*k*q**4 + 69*k*q**3 + 42*k*q**2 wrt q?
-18*k*p + 96*k*q + 414*k
Find the second derivative of 9*d*q**3 + 4*d*q - 384*d - q**3 wrt q.
54*d*q - 6*q
What is the third derivative of -1613*s**5 - s**2 + 42*s?
-96780*s**2
Differentiate -53*y**2 + 37 with respect to y.
-106*y
Find the third derivative of -16*c*j*l**3 - c*j*l - 2*c*j + 3*c*l**3 - 8*c*l**2 wrt l.
-96*c*j + 18*c
Find the third derivative of 786*r**6 + 3*r**3 - 2*r**2 - 1570*r.
94320*r**3 + 18
What is the first derivative of 5434*a*m**2 - 32*m**2 - 23 wrt a?
5434*m**2
Find the third derivative of 2*k**5*y**2 + 6977*k**3*t*y**3 + 2263*k**2*t*y**2 - k**2*t*y - 2*k**2*y**3 wrt k.
120*k**2*y**2 + 41862*t*y**3
Find the third derivative of -t**2*w**3 + 4*t**2 + 3*w**3 + w**2 + 5 wrt w.
-6*t**2 + 18
Find the second derivative of -3*b**3*r - b**2*r*x + 10*b**2*r + 8*b**2*x - 2*b*r*x + 7*b*x - b - r*x - r wrt b.
-18*b*r - 2*r*x + 20*r + 16*x
Find the third derivative of -3*l**6 - 44*l**3 - 14*l**2 - 3*l - 4 wrt l.
-360*l**3 - 264
Find the second derivative of 7339*y**2 + 3557*y wrt y.
14678
What is the first derivative of 76*n*q - 3*n + q**3 - 3 wrt q?
76*n + 3*q**2
What is the third derivative of 10842*a**3*c**2*p + 2*a**3*c*p**2 + 3*a**2*c**2 - 7*a**2*c*p**2 + a**2*c - a*c + 6*c**2*p wrt a?
65052*c**2*p + 12*c*p**2
Find the second derivative of 8*p**5 - 6*p**4 + 287*p.
160*p**3 - 72*p**2
Find the third derivative of 3*f**4 - 1897*f**3 + 671*f**2 - 7.
72*f - 11382
Find the second derivative of 484*r**3 - 260*r.
2904*r
What is the third derivative of -h**3*m**2 - 21*h**3*m + 69*h**2*m + m**2 wrt h?
-6*m**2 - 126*m
What is the third derivative of g**5*l**3 + 1083*g**5*l + 71*g**2*l**3 - g*l**3 wrt g?
60*g**2*l**3 + 64980*g**2*l
What is the third derivative of 198*i**6 + 65*i**2?
23760*i**3
What is the first derivative of -2074*h*j**3*k**2 - 2*h*k**2 + 362*h*k - 2*k wrt j?
-6222*h*j**2*k**2
Find the second derivative of 43*h**2*u**2*y**2 - 6*h**2*u*y**2 + 2*h*u**2 + 237*h*y + u*y**2 wrt h.
86*u**2*y**2 - 12*u*y**2
What is the second derivative of -5*v**3 - 42*v**2 + 3030*v wrt v?
-30*v - 84
What is the second derivative of -4017*u**3 + u**2 + 62*u + 4 wrt u?
-24102*u + 2
What is the third derivative of s**5 - 71*s**3 - 147*s**2 wrt s?
60*s**2 - 426
What is the second derivative of 1063*g**2*l**4 - 3*g**2*l - 2*g**2 wrt l?
12756*g**2*l**2
Find the second derivative of -375*w**4 - 108*w.
-4500*w**2
What is the third derivative of 768*g**5 - 2*g**3 + 2792*g**2 wrt g?
46080*g**2 - 12
Find the third derivative of -342*j**3*p**3 + 3*j**3*p**2 - 156*j**3*p + 3*j**3 + j**2 + 3*p**3 wrt p.
-2052*j**3 + 18
Differentiate 7166*x**4 + x + 6629 wrt x.
28664*x**3 + 1
What is the third derivative of 10*a**4 - 3*a**3 - 262*a**2 - 2*a wrt a?
240*a - 18
What is the third derivative of -280*a**3*t**3 - 13*a**3*t**2 - 23*a**3 wrt t?
-1680*a**3
Find the second derivative of 2136*s**5 + 7*s + 176.
42720*s**3
Find the second derivative of 3*n**2*v**2 - n**2*v + 2*n*v + 65*v**2 + 2 wrt v.
6*n**2 + 130
What is the second derivative of 11*d**3*s**2 - d**3*s + 51*d**2*s + 6*s**3 wrt s?
22*d**3 + 36*s
Find the third derivative of 98*v**5 - v**4 + 50*v**2 - 2 wrt v.
5880*v**2 - 24*v
What is | {
"pile_set_name": "DM Mathematics"
} |
**2 + 838353*z**2 + (z**2 - 1 + 1)*(-3*z + 4 - 4) to j + f*z**2 + l*z**3 + u*z and give l.
-393
Rearrange -6*k**2 + 5*k**2 - 5*k**2 - 132*k - 47*k + 4*k**2 to the form m + f*k + y*k**2 and give f.
-179
Express -s**2 + 27*s**4 - s - 2 + 5882*s**3 - 5883*s**3 - 28*s**4 as p*s**4 + b*s + g*s**3 + j*s**2 + n and give g.
-1
Express -2*c**2 + 2 - 2 + 360*c - 184*c - 145*c as k*c + i + x*c**2 and give k.
31
Rearrange -696*v + 6*v**4 - 721*v + 1428*v - v**2 - 3*v**3 to c + o*v**3 + w*v**2 + t*v + b*v**4 and give b.
6
Rearrange (18*s + 31*s - 63*s)*(-1 + 1 + 1)*(-4 + 1 + 0) to the form w + b*s and give b.
42
Express -504 + 1420*y + 1420*y - 5703*y + 1427*y + 1429*y in the form r + z*y and give r.
-504
Express 43*y**3 + 9*y**3 + 22*y**3 + (y - 4*y**2 - y)*(1 - 2*y - 1) - y**3 + 4*y**3 - y**3 as i + b*y**2 + p*y + a*y**3 and give a.
84
Express 15411*b - 15411*b - 3 - 695*b**4 - 2*b**3 in the form a*b + t*b**2 + s + z*b**3 + v*b**4 and give v.
-695
Express -1313 + 3812*u - 279*u + 1313 as p + q*u and give p.
0
Express 269*d**3 + 246 - 252*d**3 - 11*d**3 as h*d**3 + m*d + g*d**2 + q and give m.
0
Express (-2*j**4 + 2*j**4 - j**4)*(-26 + 9 - 3)*(-110 - 363 + 118) in the form l + b*j**3 + g*j**2 + t*j**4 + y*j and give t.
-7100
Rearrange -32*l**4 - 1 + 3 + 1833*l - 1834*l + 2 + 12*l**2 + 2*l**3 - 3 to the form k*l**2 + h + o*l + a*l**3 + d*l**4 and give a.
2
Express (4*f**3 + 10 - 10)*(-f - f + 0*f) + 43*f**4 - 118*f**4 + 60*f**4 - 3*f**4 - 2*f**2 - 10 + 10 in the form y*f**4 + p*f**3 + z*f**2 + m*f + g and give z.
-2
Rearrange (-o**2 + 2*o**2 + o**2)*(239*o + 241*o - 477*o - 22*o**2)*(5 - 3 - 1)*(-8 + 48 + 57) to i*o**3 + l*o**4 + u*o + f*o**2 + g and give l.
-4268
Rearrange (-4 - y + 4)*(3129 + 2644 - 7659) - 1 + 0 + 2*y - 3*y to s + p*y and give p.
1885
Express -55*z**2 - z + 181*z**2 - 63*z**2 + 1553 - 64*z**2 in the form w*z + s + r*z**2 and give s.
1553
Rearrange 2387*i**2 + 1744 - 1744 - 390*i**2 to the form d + v*i**2 + y*i and give v.
1997
Express (2*a + 0*a + 2*a)*(3958 - 7917 + 3959 - 4526*a) in the form p + t*a**2 + i*a and give t.
-18104
Express -88 - 3*b - 4 + 2*b - 38 in the form x + u*b and give u.
-1
Express -1336*x**2 - x - 2319 + 4641 - 2322 in the form g*x**2 + u + c*x and give g.
-1336
Express (2*d - 1 + 1 + d**2)*(28176 + 30877 - 9571 - 5477) as a*d + s*d**2 + n and give a.
88010
Express 44*x - 31*x**2 + 9*x**2 - 38 + 30*x**2 - 6*x**2 as u*x + o + i*x**2 and give o.
-38
Express -3*z - 1 - 6*z**2 + 0*z + 4*z + z**4 - 2*z + 0 + 3*z**3 as n + f*z**3 + j*z + b*z**2 + m*z**4 and give f.
3
Rearrange -9855*a + 22246*a - 9358*a to o + j*a and give j.
3033
Express 740*f**2 - 25*f**2 + 2 + f - 70*f**2 + 566*f**2 as o*f + y + a*f**2 and give o.
1
Rearrange -198*g**2 + 3 - 4 - 2*g**2 - 170*g**2 + 53*g**2 to w + m*g**2 + s*g and give w.
-1
Express -7816*z**2 - 4841*z**2 + 14986*z**2 in the form w*z**2 + m*z + c and give w.
2329
Express 5*b - 4*b**2 + 6 - 16*b + 2*b + 2*b**2 - 21*b in the form r*b**2 + i*b + w and give i.
-30
Rearrange -38428*d**2 + 5*d**3 - 736 + 38427*d**2 + 2*d - 6*d**3 to l*d**2 + x + w*d + t*d**3 and give l.
-1
Express -46 + 46 + 3002*p**2 - 28*p**2 in the form j*p + o*p**2 + l and give o.
2974
Express (d - 3*d + d)*(4 - d - 4) + 0*d + 0*d + d**2 - 2395*d**2 + 3969*d**2 + 2*d + 26240*d**2 - 2*d as n*d**2 + r + i*d and give n.
27816
Rearrange 3*w + w**3 - 5*w**2 - 11 + 1 - 17 + 76 to y*w**3 + l*w + r*w**2 + k and give k.
49
Rearrange 6730*i**2 + 6694*i**2 - 6*i**4 + 18 + i**3 - 13407*i**2 + i - 3*i**4 to x*i + u*i**2 + r*i**4 + a*i**3 + j and give r.
-9
Rearrange (3 + 1 - 2)*(-3 - 2 + 3)*(-2*s + 3*s + s) + (0 - 1 + 2)*(4*s + 3 - 3) + 5*s + 3 - 3 - 10*s + s - 2*s to j*s + q and give j.
-10
Express 1975 + 4*h**3 - 986 - 990 - 58*h**2 + 13*h**2 + 4*h in the form x*h**2 + b*h**3 + f*h + g and give b.
4
Rearrange 15 + 580*z + 40*z**3 + 8 - 579*z + 4 to n*z + u*z**2 + o*z**3 + p and give p.
27
Express 29*t + 1 - 112*t**2 + 334*t**2 - 119*t**2 - 106*t**2 as g + r*t**2 + f*t and give r.
-3
Rearrange (150*p + 1 - 56*p + 6*p)*(3 - 2 - 2 - 3 - 2 + 3 + (-2 + 3 - 3)*(-2 + 2 + 2) - 3 + 3 + 1) to the form s*p + g and give s.
-600
Rearrange (-28 + 546*u**2 + 29 - 310*u**2 + (-2*u - 2 + 2)*(2*u + u - u) - u - u**2 + u)*(-6*u - 13*u + 3*u) to the form r*u**2 + p*u + g*u**3 + f and give p.
-16
Express (1207 - 1207 + 2*t**2 + 31*t)*(-87*t + 194*t + 130*t) in the form g*t + j*t**2 + l*t**3 + q and give g.
0
Rearrange (12*k - 34 + 34)*(2 + 1 - 4)*(3 + 0 + 1) + (-2 + 4 - 1)*(-4*k + 6*k - k) to the form b + j*k and give j.
-47
Express -x**3 + 49*x**2 - 2 + 5*x - 33*x**2 + 6*x**3 - 2*x - 4*x as i + q*x + f*x**2 + u*x**3 and give q.
-1
Rearrange (65*c + 18 - 125*c + 70*c)*(1 - 1 + 10*c) to the form l*c**2 + u + f*c and give l.
100
Rearrange c**2 - c**4 - c**2 + (3*c**3 + 2*c**3 - 4*c**3)*(5*c + 34*c + 24*c) - 45*c**4 + 13*c**4 + 16*c**4 to w*c**4 + t*c + z*c**3 + q*c**2 + p and give p.
0
Express (-1 + 124*o - 15*o**2 - 124*o)*((-2 + 6 - 3)*(-7 + 1 - 12) + 1 - 5 + 2) as k*o**2 + b*o + a and give a.
20
Express 2 - 1425*p - 3 + 457*p - 2146*p + 302*p as q + d*p and give q.
-1
Express -5*v**2 - v**4 - 32*v**3 - 3*v**2 + 4639*v - 4636*v - 2*v**4 + 5*v**4 as d*v**2 + i*v**3 + y + m*v**4 + c*v and give m.
2
Express (2 - 6 + 2)*(0 + u + 0) - 6 + 3*u + 2 - 7 - 751 + 751 - 112*u in the form t*u + a and give a.
-11
Rearrange (24 - 2*p**2 + 7*p**2 - 3*p**2)*(0*p + 173 - 225 - 29*p) to the form f*p + i + u*p**2 + g*p**3 and give g.
-58
Express 509*w - 7 - 1197*w - 1005*w - 7 + 9 in the form t*w + d and give t.
-1693
Rearrange (-242*v - 116*v + 20*v)*(35*v - 95*v + 39*v) to the form z*v**2 + l*v + q and give z.
7098
Rearrange (-6*o + 9 - 9)*(8 - 6 - 3 + 12*o) + (-12*o + 7*o - 2*o)*(-4*o + 4*o - o) to the form f*o**2 + s + g*o and give g.
6
Express 8833*h - 65756 + 65756 as r + t*h and give r.
0
Express 1 + 31836*k**2 + 31834*k**2 + 18*k**3 - 63671*k**2 + k as o + q*k**2 + f*k**3 + d*k and give f.
18
Rearrange -272*b - b**3 + b**2 - 12 + 139*b + 136*b + 9 - 40*b**4 to the form r*b + d*b**2 + j*b**3 + v + g*b**4 and give g.
-40
Rearrange -c**2 - 224*c**3 + 2*c**4 + 210*c**3 + 455*c - 451*c to s*c**3 + p + y*c**4 + k*c + j*c**2 and give k.
4
Rearrange 6298*x - 13769*x - 15046*x to r*x + k and give r.
-22517
Express -941*g + 95 + 126 + 64 + 939*g + 5 as u + x*g and give u.
290
Rearrange 11 + 0*g + 9 - 4*g**3 - 4*g - 39*g**2 + 18*g**2 - 21 to r*g**2 + i*g**3 + z + v*g and give z.
-1
Rearrange (13 - 7 + 3*o - 4)*(-543 + 145 + 222) to v + h*o and give h.
-528
Express -960*d + 1737*d + 157*d**2 + 2 - 771*d in the form w*d**2 + r + c*d and give r.
2
Rearrange -10*m**2 - 2 - 5*m**3 + 16*m**3 + 17*m**3 + m**3 + 3*m**2 - 2*m to the form t*m + f*m**2 + a + x*m**3 and give t.
-2
Rearrange (79 + 2*s - 56 - 36)*(12 + 6 + 33) to x + p*s and give x.
-663
Rearrange -2582 + 11120*c**2 - 11118*c**2 - 1883 to s*c**2 + i*c + v and give s.
2
Rearrange -3*n + n + 1229 + 53*n**2 - 157*n**2 - 1231 - 107*n**2 to the form x + m*n**2 + b*n and give m.
-211
Express (5 - 1 - 2)*(x + 4*x - x) + 11 - 11 + 16*x + 0*x + 0*x - 5*x - 4*x + 6*x - 3*x in the form a + j*x and give a.
0
Express -1529*h**2 + 4744*h**2 + 2220*h**2 + 1678*h**2 in the form x*h**2 + t + v*h and give x.
7113
Rearrange 3 + 12*r**2 + 14*r**2 - 48*r**2 + 45*r - 5*r**2 to the form p + w*r + i*r**2 and give i.
-27
Rearrange (-2*t + 3*t - 2*t)*(100 + 398*t + 269 - 713*t - 370 - 779*t) to r*t + u*t**2 + q and give u.
1094
Express -5016*c - 32 - 11*c**3 + 2507*c + 2516*c as y*c**2 + z*c + t*c**3 + q and give q.
-32
Express h**2 + 1738*h - 1656*h + h**2 in the form a + d*h + y*h**2 and give d.
82
Rearrange -15*g - 155 - 239 + 373 to v + x*g and give v.
-21
Express 9*c**4 + 9199*c**3 - c - 172*c**2 + c - 9203*c**3 - 11*c**4 as l*c + z*c**4 + p*c**3 + b*c**2 + i and give p.
-4
Rearrange 15 - 11 + 6 + 7 + 192*m to r + q*m and give q.
192
Rearrange -22*a**4 + 2*a**3 + 80*a**4 - 47 + 2*a - 33*a**4 - 51 - 19*a**4 to the form c + m*a**4 + j*a**3 + u*a + b*a**2 and give m.
6
Express -3944*v**3 + 10 + 3939*v**3 - v + v as h + q*v**2 + j*v**3 + c*v and give h.
10
Express 70204*m**2 + 70200*m**2 - 140405*m**2 - 6*m + 271 in the form j*m**2 + f + g*m and give f.
271
Rearrange 5*w**2 - 2*w**2 - w**2 + (-2*w + 2*w - w)*(8 - 8 - 9*w) + w - w - w**2 + | {
"pile_set_name": "DM Mathematics"
} |
is the o'th term of -48545, -48514, -48485, -48458, -48433, -48410?
-o**2 + 34*o - 48578
What is the h'th term of 1793, 14302, 48255, 114374, 223381, 385998?
1787*h**3 + 6
What is the l'th term of -110111, -110120, -110129, -110138, -110147, -110156?
-9*l - 110102
What is the x'th term of -3411, -6807, -10203?
-3396*x - 15
What is the k'th term of -4380, -4379, -4376, -4371, -4364, -4355?
k**2 - 2*k - 4379
What is the c'th term of -159, -333, -503, -663, -807, -929?
c**3 - 4*c**2 - 169*c + 13
What is the q'th term of -113, -547, -1273, -2291?
-146*q**2 + 4*q + 29
What is the s'th term of 1236555, 1236559, 1236565, 1236573, 1236583, 1236595, 1236609?
s**2 + s + 1236553
What is the o'th term of 988754, 988757, 988760?
3*o + 988751
What is the b'th term of 524, 1455, 2388, 3323, 4260, 5199?
b**2 + 928*b - 405
What is the c'th term of -470, -737, -1004, -1271, -1538, -1805?
-267*c - 203
What is the y'th term of 5191, 5212, 5241, 5272, 5299, 5316?
-y**3 + 10*y**2 - 2*y + 5184
What is the n'th term of 393287, 393295, 393305, 393317?
n**2 + 5*n + 393281
What is the u'th term of 13447, 13522, 13605, 13696, 13795, 13902?
4*u**2 + 63*u + 13380
What is the a'th term of -603620, -603621, -603622, -603623?
-a - 603619
What is the h'th term of 2415, 2401, 2375, 2337, 2287, 2225?
-6*h**2 + 4*h + 2417
What is the o'th term of 601, 603, 623, 667, 741, 851, 1003, 1203?
o**3 + 3*o**2 - 14*o + 611
What is the l'th term of 0, -66, -272, -690, -1392, -2450?
-12*l**3 + 2*l**2 + 12*l - 2
What is the c'th term of -783124, -783125, -783126, -783127?
-c - 783123
What is the t'th term of -2066, -3644, -5222?
-1578*t - 488
What is the x'th term of -1781596, -1781597, -1781598, -1781599, -1781600?
-x - 1781595
What is the r'th term of -110, -108, -106, -104?
2*r - 112
What is the d'th term of 292, 395, 498?
103*d + 189
What is the p'th term of -222, -647, -1072, -1497, -1922?
-425*p + 203
What is the x'th term of -41, -49, -35, -5, 35, 79, 121?
-x**3 + 17*x**2 - 52*x - 5
What is the x'th term of 92, 550, 1314, 2384?
153*x**2 - x - 60
What is the h'th term of -20, 14, 114, 304, 608, 1050?
4*h**3 + 9*h**2 - 21*h - 12
What is the h'th term of 720, 11067, 39150, 93837, 183996?
1478*h**3 + h - 759
What is the w'th term of 953, 966, 1001, 1070, 1185, 1358?
2*w**3 - w**2 + 2*w + 950
What is the q'th term of 56665, 113312, 169959, 226606?
56647*q + 18
What is the z'th term of -61, -47, 1, 101, 271, 529, 893?
3*z**3 - z**2 - 4*z - 59
What is the c'th term of -60, -149, -264, -405, -572?
-13*c**2 - 50*c + 3
What is the b'th term of 2992, 5102, 7212, 9322, 11432, 13542?
2110*b + 882
What is the g'th term of -80698, -80695, -80692, -80689?
3*g - 80701
What is the b'th term of -47, -183, -411, -731, -1143, -1647, -2243?
-46*b**2 + 2*b - 3
What is the d'th term of -261, -364, -463, -558, -649, -736?
2*d**2 - 109*d - 154
What is the j'th term of 2025, 1791, 1557, 1323, 1089?
-234*j + 2259
What is the b'th term of -7104, -14202, -21284, -28344, -35376, -42374, -49332, -56244?
b**3 + 2*b**2 - 7111*b + 4
What is the d'th term of -130, -340, -552, -766, -982, -1200?
-d**2 - 207*d + 78
What is the t'th term of -1949, -2348, -2751, -3158, -3569, -3984, -4403?
-2*t**2 - 393*t - 1554
What is the b'th term of -126, -223, -316, -405, -490, -571?
2*b**2 - 103*b - 25
What is the s'th term of 247, 225, 165, 49, -141, -423?
-3*s**3 - s**2 + 2*s + 249
What is the l'th term of 4314, 8617, 12920, 17223, 21526?
4303*l + 11
What is the c'th term of 13965, 13932, 13889, 13830, 13749, 13640?
-c**3 + c**2 - 29*c + 13994
What is the p'th term of -1855, -1797, -1741, -1687, -1635, -1585?
-p**2 + 61*p - 1915
What is the o'th term of -11445, -11325, -11205, -11085, -10965?
120*o - 11565
What is the k'th term of -4726, -4759, -4790, -4819, -4846, -4871, -4894?
k**2 - 36*k - 4691
What is the z'th term of 366225, 1464893, 3296007, 5859567, 9155573, 13184025, 17944923?
366223*z**2 - z + 3
What is the p'th term of -67156, -134316, -201476, -268636, -335796, -402956?
-67160*p + 4
What is the g'th term of 1903, 3249, 4595, 5941, 7287, 8633?
1346*g + 557
What is the l'th term of -3458, -3479, -3488, -3479, -3446?
l**3 - 28*l - 3431
What is the m'th term of 314278, 628550, 942822, 1257094?
314272*m + 6
What is the h'th term of -3188, -5967, -8746?
-2779*h - 409
What is the x'th term of -879, -3490, -7839, -13926?
-869*x**2 - 4*x - 6
What is the w'th term of -22163, -22165, -22167, -22169?
-2*w - 22161
What is the v'th term of -110, -114, -146, -224, -366, -590?
-3*v**3 + 4*v**2 + 5*v - 116
What is the o'th term of -15418, -15372, -15250, -15016, -14634?
6*o**3 + 2*o**2 - 2*o - 15424
What is the k'th term of 40, 143, 294, 487, 716, 975?
-k**3 + 30*k**2 + 20*k - 9
What is the m'th term of 52871, 105746, 158621?
52875*m - 4
What is the o'th term of -2396, -2070, -1526, -764, 216, 1414?
109*o**2 - o - 2504
What is the m'th term of 35443, 70902, 106361, 141820, 177279, 212738?
35459*m - 16
What is the c'th term of 1916, 7666, 17250, 30668?
1917*c**2 - c
What is the b'th term of -132, -346, -694, -1242, -2056?
-11*b**3 - b**2 - 134*b + 14
What is the c'th term of 624, 2408, 5380, 9540, 14888?
594*c**2 + 2*c + 28
What is the l'th term of 245517, 491061, 736619, 982197, 1227801, 1473437, 1719111?
l**3 + l**2 + 245534*l - 19
What is the a'th term of 1807, 1665, 1419, 1063, 591, -3, -725, -1581?
-a**3 - 46*a**2 + 3*a + 1851
What is the w'th term of 193, 1490, 5017, 11890, 23225, 40138?
186*w**3 - w**2 - 2*w + 10
What is the d'th term of -29, -470, -1675, -4028, -7913?
-64*d**3 + 2*d**2 + d + 32
What is the n'th term of 1230, 2477, 3716, 4947, 6170?
-4*n**2 + 1259*n - 25
What is the a'th term of 264, -24, -314, -606, -900?
-a**2 - 285*a + 550
What is the a'th term of 11214, 11237, 11266, 11301, 11342?
3*a**2 + 14*a + 11197
What is the b'th term of -130, -61, 54, 215, 422, 675, 974?
23*b**2 - 153
What is the h'th term of -300, -578, -876, -1200, -1556, -1950, -2388?
-h**3 - 4*h**2 - 259*h - 36
What is the d'th term of 390, 609, 838, 1083, 1350, 1645, 1974, 2343?
d**3 - d**2 + 215*d + 175
What is the t'th term of 4800, 4917, 5034, 5151?
117*t + 4683
What is the x'th term of 843, 1688, 2521, 3342, 4151, 4948, 5733?
-6*x**2 + 863*x - 14
What is the f'th term of 7770, 7753, 7730, 7701?
-3*f**2 - 8*f + 7781
What is the w'th term of 13529, 27057, 40585?
13528*w + 1
What is the d'th term of 309, 2850, 9797, 23352, 45717, 79094, 125685, 187692?
367*d**3 + d**2 - 31*d - 28
What is the o'th term of 5075, 10140, 15205, 20270?
5065*o + 10
What is the o'th term of 86, 100, 124, 158, 202, 256, 320?
5*o**2 - o + 82
What is the j'th term of 266720, 266720, 266718, 266714, 266708?
-j**2 + 3*j + 266718
What is the s'th term of -455, -419, -383, -347?
36*s - 491
What is the b'th term of 50918, 50912, 50902, 50888, 50870, 50848?
-2*b**2 + 50920
What is the p'th term of 298925, 298927, 298929, 298931, 298933, 298935?
2*p + 298923
What is the o'th term of -3920, -7064, -10208, -13352, -16496, -19640?
-3144*o - 776
What is the w'th term of -196, -333, -414, -439, -408?
28*w**2 - 221*w - 3
What is the k'th term of -7973, -31941, -71903, -127859, -199809?
-7997*k**2 + 23*k + 1
What is the m'th term of -7720, -15451, -23182, -30913, -38644?
-7731*m + 11
What is the i'th term of 15108, 120757, 407520, 965955, 1886620?
15093*i**3 - i**2 + i + 15
What is the m'th term of -440, -438, -440, -446, -456, -470, -488?
-2*m**2 + 8*m - 446
What is the i'th term of 17, -22, -175, -508, -1087, -1978, -3247?
-11*i**3 + 9*i**2 + 11*i + 8
What is the j'th term of -2533, -10216, -23049, -41032, -64165, -92448, -125881?
-2575*j**2 + 42*j
What is the s'th term of 39, 294, 969, 2274, 4419, 7614, 12069?
35*s**3 + 10*s - 6
What is the n'th term of -95247, -95236, -95225, -95214, -95203?
11*n - 95258
What is the b'th term of -1952, -1932, -1902, -1862, -1812, -1752?
5*b**2 + 5*b - 1962
What is the o'th term of 1614, 12895, 43520, 103161, 201490, 348179, 552900, 825325?
1612*o**3 - 3*o + 5
What is the a'th term of -646, -594, -506, -382?
18*a**2 - 2*a - 662
What is the i'th term of 1407, 1397, 1387, 1377, 1367?
-10*i + 1417
What is the p'th term of -3410, -6448, -9486, -12524?
-3038*p - 372
What is the b'th term of 8209, 8204, 8191, 8164, 8117, 8044, 7939?
-b**3 + 2*b**2 - 4*b | {
"pile_set_name": "DM Mathematics"
} |
108))?
-6
Evaluate -2 + 2004/1320 - 8/(-44).
-3/10
Evaluate 3/(-4) - (-8541)/876.
9
What is 99/(-88)*(2 + 12/(-9))?
-3/4
(6/5)/((-25)/(-125)) - 2
4
What is the value of -5 + 9/(-3) - (1 + -4)?
-5
What is the value of (-6)/(-3 + ((-45)/(-2))/5)?
-4
Calculate ((-450)/(-525))/(4/(-14)).
-3
What is the value of (-7176)/(-8320) + 8/(-10)?
1/16
Calculate (-1)/(-21)*(-108)/36.
-1/7
What is -4 + (23 - 12) + -6 + 1?
2
What is (282/658)/((-102)/(-28))?
2/17
What is 64/(-192)*1/(2/15)?
-5/2
Calculate 3/(-6)*3 - 629/(-374).
2/11
What is the value of (-3 + 12/4)/(-2)?
0
What is the value of (-15)/12 - (-7)/84*39?
2
((-3)/(-9))/((-1)/3)
-1
What is the value of 6/(210/145) + 4*-1?
1/7
Calculate -1 + 1 + 16/(-56).
-2/7
(7/(-5) - -1)/(2/30)
-6
Calculate ((-4 - -6) + -3)*-1.
1
What is the value of 2640/420 + 6/(-1 - 0)?
2/7
Evaluate 8/36 + 1 + 112/(-18).
-5
What is ((-81)/21 + 3)/(50/(-35))?
3/5
(-5 + 96/18)/((-2)/6)
-1
What is the value of (-1)/((154/98)/11)?
-7
What is the value of -2*(1 + 5/(-10))?
-1
Calculate ((-162)/(-30) - 5)/(4/(-5)).
-1/2
What is the value of (-12)/14*56/(-12) + -4?
0
Evaluate 6/(-240) + 4/10.
3/8
What is (66/21 - 3)/(-1)?
-1/7
What is 192/(-528)*22/4?
-2
Evaluate 9/6*(13 + -11).
3
Calculate (3 - (1 + 2))/(-5).
0
(3 + 48/(-20))/3
1/5
Evaluate (-52)/12 + 4 - 247/(-390).
3/10
What is the value of 2/(63/6*-2)?
-2/21
Evaluate (-12)/14*((-150)/18 - -8).
2/7
(3*(-5)/90)/(4/(-6))
1/4
What is (-299)/((-91)/7) + -13?
10
What is ((-1)/3)/(2 + 49/(-21))?
1
1 - (-21)/6*16/(-7)
-7
3 + (-11)/4 - 0
1/4
What is (4*1)/(-30 - (-20)/(-5))?
-2/17
Evaluate (-76)/16 - (-9)/12.
-4
Calculate -5 + 10 + (-2)/2*4.
1
What is the value of ((-2)/10)/(-3 - (-90)/25)?
-1/3
What is ((-1)/3)/(5/(-30))?
2
What is 4 + 291/(-57) + 1?
-2/19
Evaluate 87/58*8/(-90).
-2/15
Evaluate 4/14*((-42)/(-12) - 3).
1/7
Evaluate -6*((3894/(-90))/11 - -4).
-2/5
What is the value of 7 - (4 + -1 + 3)?
1
Calculate 4/12 - (-4)/8*0.
1/3
What is the value of (-5)/15 + (8 - (-3210)/(-414))?
-2/23
Evaluate ((65/20)/(-13))/(-2).
1/8
What is (-4)/8*2 - (-2)/(-4)?
-3/2
Evaluate 20/(-4) + -3 + 2.
-6
Calculate ((-3)/(-4))/(129/516).
3
What is the value of (12/(-28))/(444/56 + -8)?
6
Calculate (12/12)/(4/20).
5
What is 3 + -2*(-3 - -6)?
-3
(-54)/45*(-5)/(-2)
-3
What is 1/1 + (46/(-14) - -2)?
-2/7
Evaluate 6/18*(-4 + 25).
7
Evaluate (2*-1 - -1)/(1 + -10).
1/9
What is 15*((-192)/396 + (-4)/22)?
-10
Calculate 760/(-200) - ((-12)/(-10) - 1).
-4
60/150*(-10)/16
-1/4
What is (-24)/(-28)*196/42?
4
Evaluate 46/(-14) - (-10)/35.
-3
What is 3/(238/102*(-9)/2)?
-2/7
Calculate ((28/(-3))/(-7))/((-4)/(-6)).
2
What is the value of ((-8)/8)/((-1)/(-5))?
-5
What is ((4 - -2) + 1 - 14)/(-1)?
7
Calculate ((-39)/(-12) - 3)*-28.
-7
Evaluate (7/21)/(12/(-48)).
-4/3
What is the value of (-58)/145*5/2?
-1
110/45 - 4/9
2
Calculate (4 - -2)*7*(-3)/63.
-2
Calculate 4/208*2*-4.
-2/13
What is 0*4/48 - -11?
11
Evaluate 126/(-135) + 1/3.
-3/5
What is the value of (-75)/450 - ((-1)/(-2) + -1)?
1/3
Evaluate 5/((-100)/12)*140/(-294).
2/7
Calculate (-198)/273 + 1 + (-50)/(-325).
3/7
Calculate (6/2 - -2) + -10.
-5
What is (-3 + 21/6)/(22/308)?
7
What is the value of ((-8)/(-24)*0)/9?
0
What is the value of (-8)/12*(-27)/(-45)?
-2/5
What is ((-2)/(-8))/((-51)/(-204))?
1
(51/(-17))/(6/(-14))
7
What is the value of (-56)/(-462)*(-6)/(-4)?
2/11
What is (1/9)/(1/(-2))?
-2/9
What is the value of -53 + 39 - (-512)/36?
2/9
Evaluate (-13 - -8) + 12/2.
1
What is the value of ((-72)/135)/(4/(-10))?
4/3
Evaluate (-20 + 18)*(16/(-6) - -2).
4/3
(-8)/(-24) - (-13)/(-3)
-4
What is (-33)/297 + (399/216)/(-7)?
-3/8
What is the value of (30/(-36))/((-270)/(-72))?
-2/9
Calculate (-2)/6 - ((-4 - -4) + 0).
-1/3
What is the value of 1*3/(-4)*4?
-3
76/(-14) + 0 + (-30)/(-70)
-5
Evaluate (-13)/260 - 3/(-12).
1/5
Evaluate (4/5)/((6 - 11)/25).
-4
Evaluate ((-7)/56)/((-3)/(-18)).
-3/4
What is 1 + (4/6 - 6/9)?
1
What is the value of ((-1)/4*-2)/((-29)/58)?
-1
(-14)/(-30) - 5/(-25)
2/3
What is 170/(-40) - (0 + -4)?
-1/4
What is the value of 6/7*(-63)/(-18)?
3
What is (-42)/66*8/(-28)?
2/11
Calculate 5/15 + 170/30.
6
What is (60 - 62)*(-3)/2?
3
What is 31/(-248) - 45/24?
-2
Calculate (-34)/(-12) - (4 + -1).
-1/6
Calculate (-1813)/1078 + (-3)/(-2)*1.
-2/11
0/(2 + -4 + 1)
0
What is the value of 4 - 183/27 - 2/9?
-3
What is the value of (150/90)/((-15)/(-27) - 0)?
3
Calculate (-16)/(-2520)*14*(-5)/2.
-2/9
Calculate 80/(-38) + 24/(96/8).
-2/19
Evaluate 10/135 + 97/(-216).
-3/8
1/(6/(-12) + 1)
2
Evaluate 8/2 + 17 + (16 - 30).
7
Calculate ((-10)/(-15))/(1/(-3)).
-2
What is (-3)/(-3)*(6 + -3)?
3
Evaluate (-13)/11 + 1 - 9576/(-1848).
5
Evaluate -7*58/609*(-11 + 2).
6
Evaluate (-1552)/112 + 5 - -9.
1/7
What is the value of -14 + 10 - (0 - -1)?
-5
(3/48*-2)/(75/(-100))
1/6
Evaluate 39/65*(-5)/(-6).
1/2
What is (-4)/((-8)/(-3))*4/3?
-2
What is -2 + (-18)/(-8) + 15/30?
3/4
What is 9/4*792/(-297)?
-6
What is ((-3)/(-18))/((-6)/(-8))?
2/9
(135/(-405))/((-1)/(-9))
-3
0/(-3) - (0 + 3)
-3
Evaluate 2/(12/(-20) - (-2)/(-30)).
-3
Evaluate (-2)/((-2)/1) - 5/5.
0
152/(-56) - (10/(-14) - -1)
-3
Calculate (12/8)/(2*(-3)/(-12)).
3
Calculate 70/(-245) + (-4)/14.
-4/7
What is 10/(-3)*-11*(-252)/1155?
-8
What is 2/16*12*4/(-3)?
-2
Calculate (912/380)/((-17)/(-10) + -2).
-8
What is the value of (-4 + 2)*1/5?
-2/5
Calculate (-2 - 2)*4/8*1.
-2
Calculate 6*2/(-16)*(-2)/(-3).
-1/2
What is the value of -7*((-3)/((-21)/10) - 2)?
4
What is (-155)/(-55) - (3 - 35/11)?
3
Calculate -1 + 0 - (-14)/4.
5/2
What is the value of ((-6)/28)/3 - 6/14?
-1/2
Evaluate (-2)/4 + 11/10.
3/5
Calculate (-376)/(-360) + 24/(-40).
4/9
Evaluate 357/(-147) + 12/28.
-2
What is the value of (-5)/8*(10 - 6 - 2)?
-5/4
What is the value of 2 - (2 + -6 + 3)?
3
What is the value of 30/(-35)*7/(-21)?
2/7
What is 34/(-10) - (-6)/2?
-2/5
What is the value of (-135)/((-210)/(-14)) + (-4)/(-1)?
-5
Evaluate -2*(-8 + (-330)/(-42)).
2/7
What is the value of 33/36*8 + -8?
-2/3
Calculate (-20)/(-6)*3*6/(-15).
-4
What is the value of (-45)/(-5) - 780/84?
-2/7
What is 6/14 + (-135)/756?
1/4
Calculate ((1479/(-34))/29)/((-6)/(-8)).
-2
What is (-5 + 3)*3/21?
-2/7
Evaluate ((-451)/5412)/((-8)/(-6) - 1).
-1/4
Calculate 0/((21 + -19)/(0 + -1)).
0
2*-3*4/24
-1
Calculate (2 - (-30)/(-9))/(164/(-861)).
7
What is the value of (-1)/(-7) - 1701/(-441)?
4
(21/63)/(2*(-2)/48)
-4
Calculate -5 + ((-4)/12 - -5).
-1/3
What is the value of 4/9 - (-259)/(-333)?
-1/3
What is 72/34 - ((-438)/34 - -13)?
2
What is -3 - 3/((-12)/4)?
-2
Evaluate (-9)/2*2736/1539.
-8
What is the value of -8*1 - 6225/(-750)?
3/10
4/(-46) + (-14688)/2484
-6
Calculate (-2 + 6 - 3) + (-12)/(-6).
3
(0/(-4))/4 + 2/(-10)
-1/5
What is the value of -6 - -7 - (-213)/(-36) - -5?
1/12
What is (-34)/34*((-21)/8 - -3)?
-3/8
Calculate (18/(-8))/(57/(-152)).
6
34/68*(2 - 6)
-2
5 + (-14)/2 - -6
4
What is ((-588)/33)/4 + 60/(-110)?
-5
What is the value of -2 + 9 - (-6)/(-60)*76?
-3/5
What is (1 - 2/3) + (-70)/126?
-2/9
What is (-6 - -1) + -1 + 0 + 2?
-4
What is the value of 9/15*250/300?
1/2
Calculate (5 - 0/(-2)) + -5.
0
Evaluate -2 - 7/((-140)/52).
3/5
Evaluate (63/(-21))/(9/6).
-2
(-32)/(-44)*11/44
2/11
Calculate 2 + (-28)/4 + 7 + 0.
2
Calculate (-3)/(-15)*7/(7/(-4)).
-4/5
What is (1 + (-17)/5)/((-38)/95)?
6
Calculate (10/12)/((-110)/(-66)).
1/2
What is the value of (-4 - 0) + (-124)/(-30)?
2/15
18/(-12)*12/(-9)
2
What is the value of 4/(-24) - 25/(-6)?
4
Calculate 2/(1/(-1*2/6)).
-2/3
What is 16/136*(2 + 15)?
2
Calculate (1/(6/9))/(3/(-16)).
-8
((-4)/14)/((-2)/14)
2
Evaluate (-21)/54*(-4)/7.
2/9
Evaluate ((-1)/((-3)/(-2)))/(20/(-30)).
1
Calculate (-18)/12*(-4)/(-14).
-3/7
3/2 - 126/(-36)
5
What is (-5 - 55/(-10))*-12 - -1?
-5
((-4)/(-5))/(-8 + 39/5)
-4
What is the value of 18/3*(-8)/6?
-8
What is (5/4*-1)/((-1)/4)?
5
Evaluate 966/644 + 1 + -1.
3/2
1/8*(7 + -4)*8
3
Calculate (-78)/(-13)*(-4)/6.
-4
15 - (2783/165 + -2)
2/15
What is the value of 2/2*(-48)/240?
-1/5
What is 69/168 + 0 + (-34)/119?
1/8
What is the value of 1/9*(6 - 3)?
1/3
Evaluate 3/(-18)*-8*57/38.
2
What is ((-5)/2)/((-2)/4)?
5
What is 6 + (6 - (-162)/(-12))?
-3/2
Evaluate 3*(-8)/12 + 0.
-2
Evaluate (-5)/(-1) - 126/18.
-2
What is the value of (-8)/21 - (-6)/9?
2/7
Calculate ((-6)/(-12))/(-4 - (1 + -7)).
1/4
Calculate (-4)/(-26) - | {
"pile_set_name": "DM Mathematics"
} |
- a, -2*m + 2*a = -16. Let h = z + m. Does 2 divide h?
True
Let f(w) = 2*w**2 - 8*w. Let z be f(6). Does 12 divide (-9)/2*(-128)/z?
True
Let y(l) = l**3 + l**2 - 17. Let i be y(0). Let v = 8 - i. Does 13 divide v?
False
Let u(w) = 25*w - 19. Is 37 a factor of u(9)?
False
Let l(i) = -2 - 2 - 3*i + 5. Is l(-3) a multiple of 5?
True
Let q(o) = 11*o**2 + o + 2. Let y(f) = -12*f**2 - f - 1. Let l(h) = -3*q(h) - 4*y(h). Let r be l(2). Suppose 0 = 4*b + b - r. Is b a multiple of 6?
True
Let m = -247 - -475. Is m a multiple of 12?
True
Suppose 2*t = 5*p - 20 + 6, -3*t = 2*p - 17. Suppose 4*d + q - 17 = 0, 3*q - 3 = p*d - 0. Suppose 2*i + 32 = v, i = -d*v - 27 + 102. Does 9 divide v?
False
Suppose -2*k = 2*k - 5*m - 10, -k + 3*m + 6 = 0. Let r = k + 4. Does 3 divide r?
False
Suppose 0 = 5*t - 2*t - 3*z + 42, 4*t + 11 = -5*z. Let i = 24 + -2. Let k = t + i. Is 11 a factor of k?
False
Let x be ((-2)/(-4) + -1)*0. Let s be (1 - 2)*0 + 2. Suppose x*c = s*c - 4*n - 8, -52 = -4*c - n. Is 6 a factor of c?
True
Suppose -4*v - 174 = -6*v. Is v a multiple of 14?
False
Suppose 0 = -3*b + 138 + 6. Is 16 a factor of b?
True
Let o(m) = -m - 9. Let x be o(-6). Let v(d) = 5*d**2 + 6*d + 6. Does 33 divide v(x)?
True
Suppose -41*d = -38*d - 906. Does 9 divide d?
False
Let x = 5 - 1. Let f be (3/x)/((-1)/(-4)). Suppose 48 = f*a - a - o, 88 = 4*a - 4*o. Is 14 a factor of a?
False
Let b(r) = r**3 - 4*r**2 - 9*r + 13. Let u be b(6). Let z = u + -19. Is z a multiple of 9?
False
Suppose -j - 4 + 0 = 0, 2*o + 4*j = 458. Does 18 divide o?
False
Let x be 108/(-3)*(3 - 4). Suppose p + p = x. Does 6 divide p?
True
Suppose 4*s + 4*v = -0*s + 4, 3*v = 3*s + 3. Does 13 divide (s + 52/(-16))*-12?
True
Let r(x) = x**3 + x**2 - 2. Let u be r(0). Let b(g) = -g**3 + 2*g**2 + 2*g - 1. Is 11 a factor of b(u)?
True
Let g(x) = -3*x**2 - x - 5. Let b be g(-4). Let h be 1*(0 + -3 - 84). Let o = b - h. Is 15 a factor of o?
False
Suppose 0 = a - 4*u - 11, -139 = -5*a - 0*u - u. Is 14 a factor of a?
False
Suppose 4*t = -t + 155. Is t a multiple of 6?
False
Suppose -12 = q - 4*q. Suppose -80 = -2*s + q*v, -3*v + 2*v = -4. Is s a multiple of 13?
False
Let h(r) = 4 + 0 + r**3 + 8*r**2 + 1 + 3. Is h(-8) a multiple of 5?
False
Suppose -15 = -14*d + 9*d. Suppose d*s - 240 = -s. Is 16 a factor of s?
False
Let k = -33 - -81. Does 16 divide k?
True
Let c = 2 - -24. Is 11 a factor of c?
False
Suppose 0 = 3*j - 289 + 64. Is 24 a factor of j?
False
Suppose 0 = -3*l, -j + 33 = l - 3*l. Is 15 a factor of j?
False
Let b be (3 - 2) + 1/1. Suppose -2*u = 5*h - 5, -3*u - 2*u + 2*h - b = 0. Let w = 9 + u. Does 6 divide w?
False
Let f(c) be the second derivative of -c**3/6 + 17*c**2/2 - 3*c. Is 17 a factor of f(0)?
True
Let i be ((-2)/(-2))/(-1) - -12. Let g(r) = r**3 - 2 + 4*r**2 - i*r + 6*r**2 - 3*r**2. Is g(-8) a multiple of 11?
True
Suppose -2*x = 5*f - 9, 3*f - 3*x = -x + 15. Suppose -3*t = -2*t - f. Suppose 3*q = 3*k - k + 41, -5*q + 81 = t*k. Does 10 divide q?
False
Suppose 3*b - 2*b = 1. Let a(t) = 16*t**2. Does 16 divide a(b)?
True
Let d = 4 - -110. Does 6 divide d?
True
Let q(b) = -2*b - 4. Let g be q(-5). Let h(u) = 2 - u + u**3 - u + 9*u - 7*u**2. Is h(g) a multiple of 4?
True
Suppose -8*p + 3*p = -2*r - 75, 5*r + 156 = 2*p. Let k be 516/10 + 4/10. Let d = k + r. Is 11 a factor of d?
True
Let z(x) = -8*x + 4. Let m(v) = 16*v - 8. Let h(y) = -y. Let u be h(-3). Let k(r) = u*m(r) + 5*z(r). Is k(3) a multiple of 8?
False
Suppose x - 12 = 2*k, 7*x + 3*k = 3*x + 15. Let q be (-1 - (-2 - 0)) + x. Let f = q + -5. Is f a multiple of 2?
True
Let p be (3/2)/(1/2). Suppose 2*n = -p*n + 240. Is n a multiple of 16?
True
Let u(a) = -21*a**2 + 1. Let z be u(1). Let i = -35 - z. Is 3 a factor of (8/(-10))/(3/i)?
False
Suppose -5 = -2*t - s, -4*t + 2*s + 38 = 8. Suppose -t*q + 4*q - 2 = 0. Let m = 16 - q. Is m a multiple of 18?
True
Let q be ((-3)/2)/(3/4). Let c = q - -8. Suppose -o - 25 = -c*o. Is 3 a factor of o?
False
Let w(d) = -4*d**3 - 4*d**2 + 6*d - 7. Let m(b) = 3*b**3 + 4*b**2 - 5*b + 6. Let i(j) = -3*m(j) - 2*w(j). Let v be 10/(-3 - (-1 + 0)). Does 3 divide i(v)?
True
Let v(g) = -15*g - 9. Let r(c) = -1. Let q(m) = -3*r(m) + v(m). Let k be q(-7). Suppose -2*y - k = -5*y. Does 17 divide y?
False
Let a(h) = h. Let n be ((-3)/2)/(5/(-10)). Let r be a(n). Suppose -59 = -5*f + z + 45, r*z - 68 = -4*f. Is 10 a factor of f?
True
Let g = 6 + -5. Let x be g/(-5) + (-4)/(-20). Suppose -2*k - k + 30 = x. Is k a multiple of 4?
False
Let l(p) = -2*p**3 - 5*p**2 - 3*p + 4. Suppose 0 = 3*a - a + 6. Let v be l(a). Let i = v - 15. Is 4 a factor of i?
False
Suppose 0*q - 33 = -3*q. Suppose b - 1 = -p, -q = 3*b - 2. Is 4 a factor of p?
True
Suppose 0 = -b + 5*c - 6, 3*b + 4*c = 20. Suppose -2*j + 28 = -b*p, 4*j = -2*p + 7 + 49. Suppose 16 = x + h, 0 = 5*h + 4 - j. Does 11 divide x?
False
Let u(i) = i - 3. Let f be u(6). Suppose -2*n - f*n = 20. Does 5 divide (-2 - -17)*n/(-10)?
False
Suppose -4*t - 5*h = -56 - 75, -4*t - 4*h = -136. Is 13 a factor of t?
True
Suppose 4*w - 15 - 1 = 0. Suppose -2*g - w = -4*g. Suppose 2*o = g*z - 13 + 1, 26 = 3*z - o. Is 9 a factor of z?
False
Let c be -1*(1 - (-2)/(-2)). Let q(i) = i**3 + i**2 - i + 4. Does 3 divide q(c)?
False
Suppose -164 = -5*t - 44. Suppose 94 = -5*n + t. Is 1/(2/n)*-3 a multiple of 8?
False
Suppose -4*q - 112 = -8*q. Let y = 12 + q. Is y a multiple of 20?
True
Let a(g) = g**3 + 11*g**2 - 13*g + 4. Is 8 a factor of a(-12)?
True
Let r be 0 + -2 + -2 + 1. Let y be (r/(-4))/(2/96). Suppose g - y = -2*g. Is g a multiple of 12?
True
Suppose 4*w = 7*w + 3*i - 213, 3*i = -2*w + 147. Is w a multiple of 11?
True
Is 32 a factor of 32*1*(-27 - -28)?
True
Let s(a) be the third derivative of -a**4/24 + 7*a**3/6 + 3*a**2. Is 12 a factor of s(-5)?
True
Suppose -7 = 4*k - 3. Is (-129)/(-6) + k/(-2) a multiple of 11?
True
Let p = 69 + -39. Suppose 0 = -4*g - p + 174. Suppose 5*i - g = -11. Is i a multiple of 2?
False
Let r = 5 + -5. Suppose u + u - 5 = 5*y, r = 3*u + y + 18. Let i = u - -10. Does 3 divide i?
False
Suppose 18*d = 14*d + 192. Does 24 divide d?
True
Let a(u) = u**3 - 2*u**2 + 1. Let f = 16 + -13. Is a(f) a multiple of 6?
False
Let m = 36 - -24. Suppose -6*v + 3*v = -m. Is 15 a factor of v?
False
Let t = -3 + 7. Suppose 0 = t*o + 59 + 13. Let i = -10 - o. Is i a multiple of 3?
False
Let r(p) = -5*p**2 + p**3 + 2*p**2 + 12*p**2 - 7. Let o be r(-5). Suppose -2*z - o = -6*z - 5*n, 5*z + 3*n = 126. Is 9 a factor of z?
True
Let m = 0 + 29. Does 3 divide m?
False
Let u(c) = c**3 + 4*c**2 + 4*c + 2. Let d be u(-2). Does 16 divide 37/((d + 1)/6)?
False
Suppose 3*x - 2*x - 3*b = 2, 2 = 2*x - 5*b. Let u = 4 - x. Let d = -5 + u. Does 3 divide d?
True
Let n(i) = -7*i + 28. Is n(-12) a multiple of 28?
True
Suppose 155 = 4*l - 225. Let g = -44 + l. Does 17 divide g?
True
Let v be (-35)/(-14) - (-1)/2. Suppose v*w + c = 119, 7 - 20 = -w + 5*c. Is w a multiple of 6?
False
Let q = 21 - -21. Is q a multiple of 6?
True
Let f = 70 + -6. Suppose -4*a - 4*c + 56 = -f, 0 = c + 4. Is a a multiple of 10?
False
Suppose -4*p + 357 + 267 = 0. Does 30 divide p?
False
Suppose 5*l - 8*l + 45 = 0. Is 9 a factor of l?
False
Let v(r) = -r**2 + 11*r - 4. Let c be v(10). Suppose l - c = -i + 15, 0 = -2*l + 6. Is 9 a factor of i?
True
Suppose 0 = -2*u - 3 - 1. Is u/2 - (-12)/3 even?
False
Suppose 3*h = 4*j + 69 - 16, -2 = -2*j. Is h a multiple of 10?
False
Suppose -6*f + 2*f = 0. Suppose 3*t - 5 - 10 = f. Suppose 0 = t*r + 4 - 39. Does 7 divide r?
True
Let z(h) = h**2 + 3*h + 1. Let i be z(-5). Let v(b) = -b**3 + 11*b**2 + 5*b - 11. Is v(i) a multiple of 11?
True
Suppose -2*y + 15 = -15. Let x = y - 12. Is 2 a factor of x?
False
Let s = -54 + 117. Does 12 divide s?
False
Let c(d) = 15*d. Suppose 3*k = -2 + 8. Does 15 divide c(k)?
True
Let k(m) = m**2 + 2*m - 4. Let f be k(6). Suppose 0 = -3*c - 12, -16 = -3*v - 3*c + f. Is 24 a factor of v?
True
Let j = -312 + 554. Does 18 divide j?
False
Let d be (-71)/(-6) + (-3)/(-18). Suppose -5*l + 213 = -j, -d = 4*j - 0*j. Is l a multiple of 21?
True
Let w = 2 - -8. Let h(g) = -g**2 + 14*g - 10. Does 15 divide h(w)?
True
Let l = -19 + 35. Does 16 divide l?
True
Let f(p) = p**2 + p. Suppose -3*y - 12 = 0, 6*i = 2*i - 2*y - 36. Let d be f(i). Suppose -2*g + d + 34 = 0. Does | {
"pile_set_name": "DM Mathematics"
} |
2 + o + t*k and give w.
8
Rearrange 12*v**4 + 2659*v**3 - 18*v**4 + 7 - 2660*v**3 + 3*v**2 - 4 to z*v**2 + f*v**4 + w*v**3 + x + d*v and give x.
3
Rearrange (3 + 0 + 0)*(2*j**3 - 2*j**3 + 2*j**3) + (1 - 1 - 1)*(-3*j + j**3 + 3*j) - 111*j + 111*j + 19*j**3 to the form r*j**3 + l*j + a*j**2 + x and give r.
24
Rearrange (1 - 3*b - 1)*(-3 + 3 - b) + (2*b + 0*b - b)*(25*b - 26*b + 24*b) to o + l*b + u*b**2 and give u.
26
Rearrange 607*l + 886*l + 77*l - 442*l to d + k*l and give k.
1128
Express ((-3 + 7 - 8)*(k - 3*k + k) - 56*k + 96 - 96)*(-1 + 5 - 6) in the form u*k + w and give u.
104
Rearrange 24*b**2 - 26*b**2 - 9*b - 2*b**3 + 4*b**2 + 1 to t*b**2 + g*b + r*b**3 + l and give r.
-2
Express q - 31*q**2 - 2*q**4 + 28*q**2 + 6*q**4 as c*q**3 + x*q + a + h*q**4 + p*q**2 and give a.
0
Express -222*n**2 + 201*n**2 + 657*n**2 - n**2 + 2*n**2 - 2*n**2 + (n - 6*n + 3*n)*(3*n - 3*n + 2*n) as k*n + c*n**2 + h and give c.
631
Rearrange (2719 - 2719 + 62*l**2)*(l - 3*l + 4*l)*(-1 - l + 1) to the form f + i*l**2 + r*l + t*l**4 + o*l**3 and give t.
-124
Express (-3 + 1 + 4)*(-o**2 + o**2 - 2*o**2) - o + o + o**2 - 16*o**2 - 15*o - 22*o**2 + 12*o as z*o**2 + p + f*o and give f.
-3
Rearrange 1971*i + 1881*i - 3971*i to the form r*i + f and give r.
-119
Express (-7022 - 3388*z + 3513 + 3507)*(2*z**2 + 2 - 3 - z**2) as s + y*z**3 + o*z**2 + q*z and give y.
-3388
Rearrange (-2*s - s - 6*s)*(1120*s + 305 - 561*s - 557*s) to the form j*s**2 + h + z*s and give z.
-2745
Express 0 - 7856*t + 51*t**2 - 1 + 7851*t - 1 in the form o + v*t**2 + x*t and give x.
-5
Rearrange 26*b**3 + 7*b**3 - 4*b + 0*b - 21*b**3 to o*b + u*b**3 + r*b**2 + p and give u.
12
Rearrange 53*a**2 + 50*a**2 + 16*a**2 + (-3*a**2 + a**2 + 3*a**2)*(-2 - 2 + 2) to the form d + o*a**2 + z*a and give d.
0
Express (-3*q + 3*q + 2*q)*(2*q - 2*q - 2*q**2) + 624*q**3 + 623*q**3 + 5 - 11*q**2 - 1246*q**3 as t + z*q**3 + v*q**2 + n*q and give v.
-11
Express (-1 - 1 + 3)*(a + 0*a + 2*a)*(49 + 57 - 18) + 3 - 3 - a in the form z + q*a and give q.
263
Rearrange -2*t**4 - 644*t**2 + 57*t**2 - 337*t**2 + (-3 + 2 + 0)*(3*t**4 - t**4 + 0*t**4) to x*t**2 + b + k*t**4 + r*t**3 + u*t and give x.
-924
Rearrange (-7*g + 4*g + g)*(-1 - 3 + 1)*(-2*g**2 + 5*g**2 - g**2) to the form u*g**2 + l + s*g + j*g**3 and give j.
12
Express (p + 0 + 0)*(9 + 97257*p - 97259*p - 5*p**2 + 2*p**2) in the form u*p**2 + o*p + r*p**3 + d and give o.
9
Rearrange 44*d**3 - 1 + 14*d**2 + 10*d**2 - 45*d**3 to the form k + r*d**3 + q*d + u*d**2 and give k.
-1
Express (-2*p + p - 2*p)*(29*p - 257*p - 20*p) as w + k*p**2 + m*p and give k.
744
Rearrange -79*y**3 + 813 + 231*y**3 - 819 to the form h*y**2 + m*y + z + t*y**3 and give t.
152
Express -39*k - 107*k**4 + k**2 - 115*k**4 + 242*k**4 in the form r*k**3 + u*k**2 + c*k + w + z*k**4 and give c.
-39
Express -3 + 2*x - 17*x**2 - x**4 + 2*x**3 - 10*x + 27*x - 17*x as z*x**4 + j + q*x + y*x**3 + d*x**2 and give d.
-17
Express -14*m**2 - 8 - m**4 + 11*m**2 + 3*m**2 - 4*m in the form s + r*m**3 + h*m**4 + a*m + c*m**2 and give r.
0
Rearrange 62 - 21 + 688*f - 19 - 21 to v*f + a and give a.
1
Express 361*z - 1084*z + 360*z - 117 + 362*z as p*z + j and give p.
-1
Rearrange 6*n**4 + 46*n**2 + 12*n + 51*n**2 + 8 + 50*n**2 - 149*n**2 - 5 to the form g*n**3 + f + d*n**4 + a*n + b*n**2 and give a.
12
Express 16 - 59 + 10 + 16 + 18*n**3 + 21 as l + u*n + c*n**2 + d*n**3 and give d.
18
Rearrange -1023*f - 23 + 1056*f + 6 to the form v*f + t and give v.
33
Rearrange 141 - 278 + 137 - 178*b to the form t + h*b and give h.
-178
Express (0*a + 4*a - 6*a)*(-2 - 1 + 0) - 229*a + 475*a + 39*a in the form i + m*a and give i.
0
Rearrange -3*u - 30*u + 47*u - u**2 + 61*u to the form b*u**2 + p + i*u and give i.
75
Express 129*r**2 + 144*r**2 + 151*r**2 - 17*r**2 - 28*r**2 in the form b*r**2 + h*r + s and give b.
379
Express (2 - 2 + q - 2*q - q + 4*q + (-3 + 3 - q)*(2 + 3 - 7) + q - 3 + 3)*(396 - 40*q - 32*q + 70*q) as a*q + f*q**2 + k and give a.
1980
Express (3*u + 4*u - 6*u)*(-3*u + u + 4*u)*(-7 + 2 + 0)*(3 + 1 + 2) - 40*u + 40*u - 8*u**2 in the form g*u**2 + q*u + w and give g.
-68
Express 3*a**3 - a - 2*a**2 + 5 + 2 - 9 - 4 in the form i + s*a**3 + y*a + g*a**2 and give g.
-2
Express (53*y**2 - y**2 - 552*y**2 - 403*y**2)*(-2 + 2 - 2*y) in the form r*y**2 + g*y + k*y**3 + t and give k.
1806
Rearrange 340*a**2 + 1 - 31 - 342*a**2 to the form d + x*a + z*a**2 and give d.
-30
Rearrange (-5 + 5 + 8)*(-7*u + 2*u - 16*u) to h*u + a and give h.
-168
Rearrange -26*d - 8*d**4 + 2*d**3 + d**4 + 0*d**3 + 108*d + 2*d**4 to i*d**2 + q*d**3 + s*d + k*d**4 + h and give q.
2
Express 21*g**2 - 50*g**2 + 230*g**2 + 41*g**2 in the form i*g**2 + c*g + q and give i.
242
Express 11*t**2 + 4*t**2 - 7*t + 2*t**2 - 33*t**2 in the form y*t + q + u*t**2 and give y.
-7
Express (2 - 1 - 3)*(-233401*q + 1 + 233405*q + 5) as c*q + z and give z.
-12
Express (-1328 - 27 - 1146)*(5 + p - 5) as k*p + c and give k.
-2501
Express (-35 - 21 - 12)*(4*p**4 - 3*p**4 + 8*p**4) in the form o*p**3 + i*p**2 + d + r*p + t*p**4 and give t.
-612
Express -19 + n + n**2 - 28*n**2 - 8 + 27 in the form r*n + y*n**2 + l and give y.
-27
Express (0*q + 3*q - 2*q + (-5 + 3 + 3)*(q + q - 5*q))*(0*q - 5*q + q)*(q + 9*q - 6*q) as c*q**3 + w*q**2 + h*q + g and give c.
32
Rearrange -13*m - 22*m + m + (-2*m - 3*m + 6*m)*(7 - 1 - 3) to the form g*m + y and give g.
-31
Rearrange -2*y**3 - 3*y**3 + 6*y**3 - y**2 - 4*y + 0 + 34*y + 3 to s*y**3 + r + x*y**2 + f*y and give x.
-1
Express -642*w - 44*w - 443*w + 126*w + 106*w in the form y*w + o and give y.
-897
Rearrange (1 + 0 + 0)*(86*c + 227 - 227 + (3*c - 5*c + 4*c)*(1 - 1 - 1))*(0 + 2 - 1) to z + g*c and give g.
84
Rearrange -3144*t**3 + 4*t**4 - 8*t - 2*t**4 - t**2 + 3145*t**3 + 25*t**2 + t**2 to the form j + s*t**2 + f*t**4 + l*t + a*t**3 and give f.
2
Express (2 - 2 + 5*d)*(54*d + 82*d - 17*d) as l*d**2 + v*d + z and give l.
595
Express (-2 + 1 + 2)*(96*d**2 - 35*d**2 + 151*d**2) + 0*d**2 - d**2 + 4*d**2 as k*d + r + z*d**2 and give k.
0
Express -o**3 - 3*o**2 - 9*o - o**2 + 1 - 13*o + 20*o in the form k*o**2 + t*o**3 + w*o + m and give w.
-2
Rearrange (8 + 0 + 18)*(4*r**2 - 4*r**2 + r**2) - 4 + 4 + 3*r**2 to the form n*r**2 + y + k*r and give n.
29
Rearrange 20*c**2 - 66*c**2 + 28*c**2 + 2*c + 2*c**3 + 24*c**2 to n + g*c + a*c**3 + j*c**2 and give j.
6
Express ((1 - 3 + 1)*(x**2 + 4*x**2 - 3*x**2) + 4116*x**2 + 1828*x**2 - 1391*x**2 + 89*x**2)*(4*x - 3*x + 2*x) in the form s*x**2 + q*x + t*x**3 + c and give s.
0
Rearrange (-11 - 8 - 4)*(-5*l - 20*l - 33*l) to t*l + u and give t.
1334
Express ((-2 + 0 + 1)*(-1 + 4 - 2) + 4 + 1 - 3)*(2*k**2 + 2*k**2 - k**2)*((-5 + 1 + 5)*(3*k + 2*k - 3*k) - 3 + 3 - 8*k) as o + h*k + c*k**3 + t*k**2 and give c.
-18
Express (4*y + 19 - 19)*(3 + 1 + 1)*(-22 - 2*y**2 + 22) as g*y**3 + t*y**2 + d*y + w and give w.
0
Rearrange 0*t + 0*t - 19416 + 19416 - 848*t**2 to d + g*t + j*t**2 and give j.
-848
Rearrange -4 - 5*b**2 - 5*b**2 + b**2 - 3*b**2 to n + c*b + r*b**2 and give r.
-12
Rearrange (-10 + 10982*g**2 - 10277*g**2 + 11)*(3*g - 2*g - 2*g) to h + z*g + i*g**2 + x*g**3 and give x.
-705
Express (86*p**2 - 38*p**2 - 46*p**2 - 115*p)*(-2 + 2 + 3*p) as w*p + a*p**3 + i*p**2 + m and give a.
6
Rearrange 7*l**2 - 11*l**2 + 32*l - 34*l + 55*l**3 + 2*l**2 to the form u*l**3 + c*l**2 + k + o*l and give u.
55
Express (3 + 3 - 308538*p + 308538*p - 82*p**2)*(2*p - 5*p + 2*p) as z + h*p + a*p**2 + r*p**3 and give h.
-6
Rearrange 5*h**3 - 2 + 0*h**3 - 4*h**2 + 8*h**2 + 11*h - h**2 - 4*h**3 to c*h + a*h**2 + d*h**3 + j and give a.
3
Rearrange (3 - 4 + 2)*(8 + 2 - 3)*(-6*z - 10*z - 13*z) to r*z + x and give r.
-203
Express -208*m - 42 - 95*m + 42 + 50*m as s + v*m and give v.
-253
Rearrange 122*o**2 - 2*o - 62*o**2 + 2 + 3*o - 61*o**2 + 584*o**4 to n*o**4 + x*o**2 + d*o**3 + k*o + q and give n.
584
Express (f**3 + f**3 - f**3)*(-2*f + 4*f - f) - 37495*f + 37495*f + 27*f**4 + 20 in the form r*f**3 + s*f**2 + k*f**4 + t*f + w and give k.
28
Express -63*h + 36*h + 26*h + 2*h**2 + 2 in the form t + q*h + r*h**2 and give r.
2
Rearrange -9 - 6 + 1004*k - 14 + 29 to the form o + v*k and give v.
1004
Rearrange 35*n**2 + 99*n**2 + 3*n - 3*n to the form f + c*n**2 + b*n and give c.
134
Express (18 - 18 - 4*n)*(-2 - 1 | {
"pile_set_name": "DM Mathematics"
} |
) = 35*r**2 + 1. Let z be i(q). What is the highest common factor of x and z?
18
Let p be (-2)/(-7) - 96/(-7). Suppose 27 = c - 1. Calculate the highest common divisor of p and c.
14
Let w(u) = 12*u - 10. Let h be w(10). Let f = 0 + 10. What is the greatest common factor of h and f?
10
Suppose -21*x = -17*x - 12. Let w(z) = -z**2 + 7*z - 3. Let o be w(4). Let h = o - x. Calculate the highest common factor of h and 36.
6
Let r(a) be the second derivative of a**5/20 + 3*a**4/4 - a**3/6 + 13*a**2/2 + 3*a. Let x be r(-9). Calculate the highest common divisor of x and 11.
11
Suppose -3*q + 81 = 9. Suppose -k + 4*b + 16 = 0, -2*k - 4*b = -k + 8. Suppose -k*i + q = -0*i. What is the highest common divisor of 15 and i?
3
Let f be 2 - 0 - 0/11. What is the greatest common factor of f and 4?
2
Let r(y) = y**2 - 3*y - 4. Let f be r(-6). Let p be ((-4)/(-2))/((-2)/(-26)). Suppose p = 2*t - 14. Calculate the highest common divisor of f and t.
10
Let t be (-6)/15 + 132/5. Let g = 114 - 49. What is the greatest common divisor of g and t?
13
Let t(j) = j**2 + 2*j - 3. Let c be t(5). Calculate the highest common factor of c and 8.
8
Suppose -2*q = -6, 2*q - 21 = -5*h - 0. Suppose 4*r - 2 = 2*l - l, 4*l - h*r - 57 = 0. What is the highest common divisor of l and 3?
3
Suppose 7*a - 5*a = -50. Suppose -d + 18 = -17. Let u = a + d. What is the greatest common factor of 110 and u?
10
Let f = 22 + -18. What is the highest common factor of 4 and f?
4
Let m = 13 - -1. Let s = m - 6. Suppose -41*t + 40*t = -40. What is the highest common divisor of s and t?
8
Suppose -3*a + 4*j + 234 = 34, -a + 84 = 3*j. Suppose 5*p = 10*p + 55. Let w = p - -19. What is the highest common factor of w and a?
8
Let a be (-1 - (-3 + 2)) + 6. Let k be -2*(-1)/(1/1). Let n be k/9 - 16/(-9). Calculate the greatest common divisor of n and a.
2
Let b(g) be the third derivative of -g**4/24 - 4*g**3/3 + 3*g**2. Let r be b(-10). Calculate the highest common divisor of r and 16.
2
Let f = 9 + 71. What is the greatest common divisor of f and 16?
16
Suppose 0 = -4*v - 4*c + 64, -3*c = 4*v - 2*c - 76. Let x = v + -14. What is the highest common factor of x and 54?
6
Suppose -2 + 14 = 4*b. Suppose -b*z = -4*z + 14. Calculate the greatest common factor of 21 and z.
7
Let d(s) = -s**3 + 6*s**2 - 4*s + 3. Let q(r) = -r**2 + 3*r - 3. Let n be q(3). Let k = 2 - n. Let h be d(k). Calculate the highest common factor of 20 and h.
4
Let b(s) = -s + 8. Let x be b(6). Suppose -27 = -2*j + 5*i + 18, 0 = -x*j + 3*i + 35. Let k be 4 + 5 + 49/(-7). Calculate the highest common factor of k and j.
2
Let l be (-1 + (-1)/(-2))*-4. Suppose l*c - 4 = c. Suppose -4*w + z + 38 = 0, -c*w + 42 = z - 0. Calculate the greatest common factor of w and 20.
10
Let i be -6 + 17 + 3/1. What is the greatest common divisor of 182 and i?
14
Let o = -21 + 25. Let n be 1*o - (-1 + 1). Calculate the greatest common factor of 4 and n.
4
Suppose -10*r = -0*r - 120. Let h = 227 + -95. Calculate the greatest common divisor of h and r.
12
Let s(z) = 3*z - 2. Let l be s(2). Suppose 0 = -4*v - 4*u - 24, 0 = -v - 5*u + u - 6. Let m = l - v. What is the highest common factor of 4 and m?
2
Let a(y) = -5*y + y + 4 + 5 - 3*y - y**2. Let w be a(-7). Calculate the highest common factor of 9 and w.
9
Let y = 26 + -5. Let f = -11 + y. Let r be f + -5 + (2 - 0). Calculate the highest common factor of r and 7.
7
Let j be (4 - 11)*(-24)/14. Let n be 6 - -4 - (2 + 0). Calculate the highest common divisor of j and n.
4
Let c be ((-6)/(-4))/((-18)/(-264)). Let y = -12 + c. What is the greatest common factor of 50 and y?
10
Let s be -1*3/6*-2. Let b be (s - (-2 - -2)) + 3. Suppose -3*z - 4*q + 100 = 0, -2*z + q = -q - 76. Calculate the highest common factor of b and z.
4
Let k(g) = g - 4. Let s be k(7). Suppose 23 = 2*f - s. Calculate the highest common divisor of f and 143.
13
Let w(y) = -13*y + 2. Let l be w(-2). Let b(z) = 7 - 6 + l*z**2 + 43*z**2. Let p be b(-1). What is the greatest common factor of p and 9?
9
Let d be ((-6)/2)/3*5. Let q(r) = -3*r - 7. Let j be q(d). Let k be (-99)/(-12) - (-6)/j. What is the greatest common divisor of k and 9?
9
Let g(t) = -t**3 - 2*t**2 + 3*t - 1. Let k be g(-4). Let n = -1 + 0. Let s be 172 + 4/(-2) - n. Calculate the greatest common divisor of s and k.
19
Suppose s + s = w + 13, -4*s - 49 = 3*w. Let c be ((-16)/(-12))/((-1)/w). Let m = -48 - -78. Calculate the highest common divisor of m and c.
10
Let z = -37 + 151. Calculate the highest common factor of z and 38.
38
Suppose -2*n + 5*d - 23 = 0, 4*d - 25 = -7*n + 2*n. Calculate the greatest common divisor of 1 and n.
1
Suppose 2*z + 160 = 10*z. Calculate the highest common divisor of 30 and z.
10
Suppose -3 = -4*k + 17. Suppose -71 = -3*t + k*u, 5*t - 2*u = 187 - 56. Let v = t + -19. Calculate the greatest common divisor of 24 and v.
8
Let k = -10 - 5. Let g = 23 + k. Calculate the greatest common factor of g and 56.
8
Let f(j) = j**2 - 7*j - 4. Let g be f(8). Suppose 72 - 8 = g*k. Let i = 8 - 4. What is the highest common divisor of i and k?
4
Suppose -q - 11 = u - 0*u, 2*q = -4*u - 34. Let f be 3*u/(-9)*50. What is the greatest common factor of f and 40?
20
Let h be -14 + 2 + 0 + -1. Let s = 24 + h. Calculate the greatest common divisor of s and 44.
11
Let w(s) = -10*s + 2. Let g be w(3). Let f = -18 - g. Suppose -90 = 2*r - 5*r. What is the highest common divisor of f and r?
10
Let f = -2 - -3. Let r(c) = 3*c**2 + f + 2*c**3 - 5 - c + 2. Let d be r(2). Calculate the greatest common factor of d and 36.
12
Let b be -2 + -2 + (-3 - -11). Let y be (1 + -2)/1 + 29. Calculate the highest common divisor of b and y.
4
Let d = -24 - -132. What is the greatest common factor of 27 and d?
27
Let i be (2/(-4))/(3/54). Let c be (-6)/(-27) - 7/i. Let o be c/(-1 - 0) - -2. What is the highest common divisor of 9 and o?
1
Let d = -226 + 316. Let u be d/(-25) - (-4)/(-10). Let m = 6 + u. Calculate the highest common factor of m and 18.
2
Let f(c) = 3*c**3 + 4 - 7*c**3 + 2*c**3 + 6*c + 3*c**3 + 7*c**2. Let w be f(-6). Suppose -x = -12 - 20. Calculate the highest common divisor of w and x.
4
Suppose 0 = -2*v + 8, 5*p + v - 2*v = 1996. Suppose 0*u + p = 5*u. Calculate the highest common divisor of u and 32.
16
Let x = 0 - 0. Let b be x/1 + 3*1. Let c(a) = 2*a + 47. Let i be c(-23). Calculate the highest common factor of b and i.
1
Let f be 2 - (-6)/(-1 - 2). Suppose -d - 4*k + 5 = f, -k - 11 = -2*d + 8. Let z be 26 - ((-2)/2 + 0). Calculate the greatest common factor of z and d.
9
Suppose -2*l = -8, -4*j + 5*l + 35 + 9 = 0. Let h = 28 - j. What is the highest common factor of 108 and h?
12
Let m(a) = 10*a**2 + a - 5. Let y be m(-5). Suppose 3*h - 2*u = 180, -5*u = -4*h - 4*u + y. What is the greatest common factor of h and 24?
12
Let k be -33 - (0 + (-4)/(-2)). Let p = k - -65. Suppose 2*j - 24 = j + 2*z, 2*j - 44 = 2*z. Calculate the highest common divisor of j and p.
10
Let n be -1 + (-1 - -3) + -2. Let g be n/(-4) + 8/(-32). Suppose -5*c + y - 5*y + 141 = 0, -5*c + y + 121 = g. What is the greatest common factor of 175 and c?
25
Let p = -26 + -15. Let h = -16 - p. Let c = h - -1. Calculate the highest common factor of c and 39.
13
Suppose 4*j + 21 = -s + 2*s, -s = -1. Let x(l) = l**2 + 3*l - 7. Let y be x(j). Calculate the highest common divisor of 21 and y.
3
Let k be (-4 + 1)/(6/4). Let z be (2 - 2)/((-4)/k). Suppose f = -z*f + 3. What is the highest common divisor of 12 and f?
3
Suppose -3*q - 88 = -7*q. What is the greatest common factor of q and 77?
11
Let u(l) be the first derivative of 7*l**4/4 + l**3/3 - l**2/2 - 2*l - 1. Let y be u(2). Let a = y - 14. Calculate the greatest common divisor of 6 and a.
6
Let r be 2*1 + -29 + 54. What is the greatest common divisor of r and 6?
3
Let z = 11 + -8. Suppose n + s - 31 = -4*n, 5*n - 28 = 2*s. Calculate the highest common divisor of n and z.
3
Suppose 3*g + 5*u - 190 = 0, 0 = 4*g + 3*u - 114 - 143. Calculate the greatest common divisor of 26 and g.
13
Let n(z) = -z**2 - 1. Let r(k) = -3*k**2 + 11*k + 1. Let w(q) = 4*n(q) - r(q). Let s be w(-7). What is the greatest common factor of 161 and s?
23
Let z(i) = -21*i + 2. Let k be z(-2). Calculate the greatest common factor of k and 110.
22
Let n = -13 - -29. What is the highest comm | {
"pile_set_name": "DM Mathematics"
} |
0*z. Give t(j(y)).
-9*y**2 - 3*y
Let r(k) be the third derivative of 10*k**4/3 + 9*k**2 - 44. Let h(m) = 6*m**2. Give h(r(n)).
38400*n**2
Let t(y) = -2445466943*y. Let z(q) = -q**2. Calculate z(t(f)).
-5980308569305765249*f**2
Let t(i) = -23 + 13 + 3 + 2*i + 4 + 5. Suppose 4*d + 4 - 16 = 0. Let l(u) = 0 + 0 - 2*u + d*u. What is t(l(y))?
2*y + 2
Let c(p) = -2*p - 3*p + 4*p. Let i be (-7 - 161/(-14))/((-3)/4). Let s(o) = -2*o. Let y(d) = d. Let f(t) = i*s(t) - 13*y(t). Give c(f(w)).
w
Let c(b) = b - 61805. Let h(k) = -5*k**2. Determine c(h(t)).
-5*t**2 - 61805
Let j(z) = 12*z**2. Let f = 46 - 46. Suppose f = -3*x + 3*c + 21, -4*c - c = 4*x - 19. Let t(o) = 1 - 5*o - 1 + x*o. Determine j(t(n)).
12*n**2
Let q(f) = 352507*f**2. Let x(l) = -403*l**2. Give x(q(c)).
-50077257574747*c**4
Let u(o) = 8*o. Let m(l) be the second derivative of 1/12*l**4 + 0 - 64*l + 0*l**3 + 0*l**2. Give m(u(d)).
64*d**2
Let r(s) = s**2 + 2*s - 120. Let z(j) = 192*j. Determine z(r(o)).
192*o**2 + 384*o - 23040
Suppose -34 = -15*z + 13*z. Let r(f) = 18*f - 31*f + z*f. Let i(d) be the second derivative of -d**4/12 + 16*d. Give r(i(b)).
-4*b**2
Let p be (-88)/(-308) - (1 + (-1559)/7). Let l(s) = -p + 5*s**2 + 222. Let n(r) = 2*r**2. What is n(l(m))?
50*m**4
Let j(s) = -2*s**2 - 54*s. Let m(x) = 480032*x. Give m(j(r)).
-960064*r**2 - 25921728*r
Let o(l) = -44*l**2. Let c be 1 + -4 + 100/4. Let p(v) = -c*v - 18*v + 39*v. Calculate o(p(b)).
-44*b**2
Let l(d) = -18*d**2. Let c(i) = 84 + 8*i - 11*i - 79 + 5*i. Calculate c(l(u)).
-36*u**2 + 5
Let g(j) = j**2. Let u(q) be the first derivative of 30 + 77/2*q**2 + 0*q. Give u(g(z)).
77*z**2
Let c(h) = -h + 3. Let m(s) = -2. Let r(f) = -2*c(f) - 3*m(f). Let x(n) be the first derivative of -13*n**2 + 84. Give x(r(u)).
-52*u
Suppose 0 = 1083*l - 1081*l + 6. Suppose -17 = 2*z + 63. Let o(d) = -22*d - 3. Let f(m) = 285*m + 40. Let u(n) = l*f(n) + z*o(n). Let y(v) = -2*v. Give y(u(g)).
-50*g
Let r(o) = o + 15763914. Let t(w) = -4*w. Calculate t(r(f)).
-4*f - 63055656
Let d(n) = -120*n - 682. Let i(v) = 24*v + 146. Let j(c) = 6*d(c) + 28*i(c). Let t(x) = 2*x + 4. Give t(j(s)).
-96*s - 4
Let q(b) = -327134*b. Let t(c) = 36*c**2. What is q(t(o))?
-11776824*o**2
Let a(q) = -q**2. Let w(f) be the second derivative of -f**6/360 - 119*f**5/120 + 13*f**4/3 - 24*f. Let o(d) be the third derivative of w(d). Calculate a(o(j)).
-4*j**2 - 476*j - 14161
Let z(l) be the second derivative of -l**4/6 - 368*l**3 + l**2/2 + 2*l - 4164. Let g(c) = -c. What is g(z(u))?
2*u**2 + 2208*u - 1
Let y(s) = -6*s. Suppose -x - 17 = -4*o - 5, -36 = -5*o - 4*x. Let k(r) be the first derivative of o*r**2 - 21 - 5*r**2 + 5 - 2. Determine y(k(w)).
12*w
Let t(c) = 7*c. Let l(h) be the first derivative of h**6/360 + h**3/3 + 53*h**2/2 - 146. Let z(d) be the third derivative of l(d). Determine z(t(q)).
49*q**2
Let p(l) = 1963*l. Let c(h) = -4113*h**2. Calculate p(c(g)).
-8073819*g**2
Let c(j) = 19*j**2 - 2*j. Let n(w) = 16*w**2 - 25. Let p(k) = 10*k**2 - 15. Let h(g) = -3*n(g) + 5*p(g). Give h(c(b)).
722*b**4 - 152*b**3 + 8*b**2
Let j(x) = 5*x + 12 - 3*x - 5*x + 5*x - 40. Let p(z) be the third derivative of z**5/30 + z**2. Calculate j(p(w)).
4*w**2 - 28
Suppose 57*j = 200*j - 429. Let s(x) be the third derivative of 1/24*x**4 + 0 - 32*x**2 + 0*x**j + 0*x. Let m(o) = 3*o**2. Give m(s(u)).
3*u**2
Let u(d) = -101*d. Let m(w) = 277*w**2 - 94*w**2 - 144*w**2 - 118*w**2. Give u(m(z)).
7979*z**2
Let c(x) = 4*x**2 + 3*x - 3. Suppose -k - 6 = -9. Let u(d) = 6*d**2 + 5*d - 5. Let o(g) = k*u(g) - 5*c(g). Let w(n) = 12*n. Determine w(o(b)).
-24*b**2
Let d(b) = 2*b + 4. Let q(o) = 53*o + 56. Determine q(d(p)).
106*p + 268
Let n(t) = -48*t. Let m(o) be the third derivative of o**5/10 + 2557*o**2. Calculate n(m(l)).
-288*l**2
Let s(w) = 241*w. Let q(r) = -118*r**2 + 27*r**2 + 66*r**2 + 26*r**2. Give s(q(k)).
241*k**2
Let y(u) = 950*u**2 + u + 67905. Let r(n) = 2*n. Give r(y(b)).
1900*b**2 + 2*b + 135810
Let s(f) = 102*f + 124*f - 328*f. Let q(r) = -154*r**2 - 151*r**2 + 303*r**2. What is q(s(k))?
-20808*k**2
Let y(b) = 47*b + 50. Let w(f) = 494*f + 520. Let r(o) = -5*w(o) + 52*y(o). Suppose 3*z = -0*z + 6. Let u(p) = -1 - z*p**2 + 3 - 2. Give u(r(t)).
-1352*t**2
Let n(k) = -2*k + 3. Let b(m) = 3*m - 4. Let d(v) = -3*b(v) - 4*n(v). Let q(p) be the second derivative of 0 + 5/12*p**4 + 0*p**2 + 41*p + 0*p**3. Give d(q(j)).
-5*j**2
Let f(w) = 5*w. Let m(l) = -258285790*l. Give f(m(c)).
-1291428950*c
Let u(t) = -143*t**2 - 33*t + 132. Let b(g) = 22*g**2 + 5*g - 20. Let o(v) = 33*b(v) + 5*u(v). Let a(x) = -4 + 16*x - 2 + 6. Give o(a(n)).
2816*n**2
Let q(k) = -6*k**2. Let z(a) be the second derivative of 257*a**3/6 + 30*a - 2. What is q(z(f))?
-396294*f**2
Let h(d) = 7*d. Let w(j) = -138*j + 10 - 11 + 31*j. What is w(h(o))?
-749*o - 1
Let a(w) = 3453*w. Let t(o) = 1162*o**2 - 5*o. Give a(t(b)).
4012386*b**2 - 17265*b
Let g(h) = 15357*h. Let s(d) = 60*d**2. Give g(s(k)).
921420*k**2
Let f(l) = -14596*l + 267. Let x(s) = -273*s + 5. Let n(y) = -5*f(y) + 267*x(y). Let u(w) = -15*w + 1. Determine n(u(v)).
-1335*v + 89
Let q(s) = 811*s**2 - 2*s + 119. Let h(b) = -172*b**2. Calculate q(h(v)).
23992624*v**4 + 344*v**2 + 119
Let v(k) = 3*k - k**2 - 2*k - 1 - 2*k. Let o(t) = 4*t**2 - 10*t**2 + 813*t - 818*t - 5. Let n(b) = 2*o(b) - 10*v(b). Let q(h) = 17*h**2. Determine n(q(g)).
-578*g**4
Let b(a) = -4*a**2 - 79*a + 22. Let v be b(-20). Let s(k) = -147*k**2 - 153*k**v + 304*k**2. Let m(t) = -11*t**2. What is m(s(j))?
-176*j**4
Let w(h) = -233758778*h. Let n(j) = 2*j**2. What is n(w(o))?
109286332584106568*o**2
Let v(c) = 3300166*c. Let w(h) = -70*h**2. Determine w(v(m)).
-762376693928920*m**2
Let o(m) = 2*m**2 + 10*m - 15. Let j(h) = -h**2 - 4*h + 6. Let q(b) = -10*j(b) - 4*o(b). Let n(c) = -455*c**2. Calculate n(q(r)).
-1820*r**4
Let s(k) = 56*k**2. Suppose -5*o + 125 = l, -4*l + 134 = -3*l - 4*o. Let i(f) = -136*f - l*f + 269*f. Determine i(s(z)).
168*z**2
Let g = 134 + -132. Let x(p) be the first derivative of -g + 1/2*p**2 + 0*p. Let d(n) = 4*n. Give d(x(q)).
4*q
Let n(w) = -w**2. Let c(m) = -730*m + 55. Let f = 136 - 140. Let x(d) = -27*d + 2. Let i(l) = f*c(l) + 110*x(l). Determine n(i(v)).
-2500*v**2
Let s(u) = -385*u**2 - 12*u + 12. Let n(w) = 26176*w**2 + 818*w - 818. Let z(g) = 6*n(g) + 409*s(g). Let q(j) = 3*j. Calculate z(q(r)).
-3681*r**2
Let g(a) = 175*a + 6. Let d(c) = -168*c - 5. Let q(z) = 6*d(z) + 5*g(z). Let u(j) be the third derivative of j**4/24 + 273*j**2. Give u(q(s)).
-133*s
Let s(i) = 13026*i. Let j(w) = 255*w**2. Determine j(s(z)).
43267552380*z**2
Let b(l) = 28*l. Let t(p) = 2255*p**2 + 105*p - 140. Let r(m) = 188*m**2 + 9*m - 12. Let s(c) = -35*r(c) + 3*t(c). Give s(b(h)).
145040*h**2
Let i(h) = -h**2. Let k = -407 - -416. Let a(p) = k*p**2 + 30*p - 6*p - 4*p**2. Determine i(a(y)).
-25*y**4 - 240*y**3 - 576*y**2
Let r(p) be the second derivative of p**3/3 + 17*p**2/2 - 5*p + 5. Let l(u) = -2*u**2. Give r(l(o)).
-4*o**2 + 17
Let f(r) = 2*r. Let i(l) be the third derivative of -19*l**7/1260 - l**5/12 + l**3/6 - 51*l**2. Let a(n) be the third derivative of i(n). Calculate a(f(y)).
-152*y
Let l(i) = -26*i - 16. Let q(w) = 5*w + 3. Let o(h) = 3*l(h) + 16*q(h). Let k(r) be the third derivative of 0 + 4*r**2 + 0*r**3 - 1/8*r**4 + 0*r. Give o(k(z)).
-6*z
Let y(k) be the second derivative of 0 - 1/6*k**3 + 0*k**2 - 57*k. Let f(h) = -65*h. Determine y(f(j)).
65*j
Let r(t) = t + 304. Let v(z) = 63*z**2 + 19*z. Determine r(v(d)).
63*d**2 + 19*d + 304
Let j(b) = 5404683*b**2. Let a(z) = -z**2. What is a(j(c))?
-29210598330489*c**4
Let f(h) be the third derivative of 0*h - 44*h**2 + 1 + 0*h**4 + 0*h**3 + 31/60*h**5. Let c(p) = -p. Determine f(c(y)).
31*y**2
Let j(i) be the third derivative of i**7/630 - i**4/12 + 8*i**3 - 8*i**2 - 6. Let c(b) be the second derivative of j(b). Let o(u) = 28*u. Calculate o(c(q)).
112*q**2
Let a(y) be the third derivative of y**5/60 - 11676*y**2. Let j(k) be the third derivative of k**4/3 - k**3/2 - 2*k**2. Calculate j(a(d)).
8*d**2 - 3
Let c(a) = -1914*a**2. Let i(w) = -39*w - 9695 + 9695 + 2*w**2 + 39*w. Calculate c(i(q)).
-7656*q**4
Let d be 44/(-132) - (-308)/6. Let a(h) = 22*h - d*h + 22*h. Let p(g) = 7*g**2. What is a(p(n))?
-49*n**2
Let h(a) = 8345748* | {
"pile_set_name": "DM Mathematics"
} |
is x rounded to the nearest one hundred?
-600
Let q = 32677 + -149790. Let l = 117114.000024 + q. Let f = l - 1. What is f rounded to 5 dps?
0.00002
Let d = -56165246 - -28065246. What is d rounded to the nearest 1000000?
-28000000
Let d = 23000671 - 23027532.9892. Let l = -26902 - d. Let w = 40 + l. Round w to three decimal places.
-0.011
Let s be 400 - (-3)/(-9)*3. Suppose -n + 2 = -2. Suppose -o + n*u = 171 + s, 5*o + 3*u = -2735. What is o rounded to the nearest 100?
-600
Let w be (-8)/(-10)*5/2. Let h = w + -2. Let j = h + 0. Round j to the nearest 100.
0
Let u = 9.27 - 6.536. Let j = 16 - 18.7. Let l = u + j. Round l to 2 dps.
0.03
Let p = 190.0000087 - 190. Round p to six decimal places.
0.000009
Let c = -188 - -283. Let o = 95.121 - c. What is o rounded to 2 decimal places?
0.12
Suppose 4*z - 569 = 751. What is z rounded to the nearest 100?
300
Let o(t) = -2*t**2 + t. Let i be o(-1). Let q(c) = c**2 - 4*c + 1. Let x be q(i). Suppose 3*w - x = 20. What is w rounded to the nearest ten?
10
Let g(h) = -55*h**3 - 7*h**2 - 8*h + 4. Let l be g(-6). Suppose -3*m - l = 4*q, 3*m - m = -3*q - 7785. What is m rounded to the nearest 1000?
-4000
Let f = 63.7078 + -0.0078. What is f rounded to the nearest integer?
64
Let o = 1.26 - -0.04. Let x = 4352806 + -4352804.69999888. Let q = x - o. What is q rounded to seven decimal places?
0.0000011
Let d = 21.91 - 22. Let s = -0.089998 - d. Round s to 5 dps.
0
Let a = 778.52363 + -258.52154. Let z = 520 - a. What is z rounded to four decimal places?
-0.0021
Let v = -47111.0240102 + 47111. Let a = -0.024 - v. What is a rounded to 6 decimal places?
0.00001
Let p = 12 - 11.7. Let z = 0.29969 - p. What is z rounded to four dps?
-0.0003
Let j be (-33)/(-12) - 2/(-8). Suppose 0 = -j*h + 2 + 10. Suppose -5*y = 4*s + 12, 3*y + 0*y + h*s + 12 = 0. Round y to 2 dps.
0
Suppose -5*j + 35 = 3*w, 2*w + 40 = 5*j + 6*w. Suppose -3*l = -4*o + 9*o + 12315, -l - j*o - 4112 = 0. Round l to the nearest one thousand.
-4000
Let a = 0.13 + -2.63. Let j = 2.469 + a. Round j to 2 decimal places.
-0.03
Let r = -37.899741 + 37.9. Round r to five dps.
0.00026
Let k = -31.09918 - -29.499. Let q = k - -1.6. What is q rounded to 4 dps?
-0.0002
Suppose -4*v + v = 16200. What is v rounded to the nearest one thousand?
-5000
Suppose 6*k = 11*k + 2700000. Round k to the nearest one hundred thousand.
-500000
Let k = -14 + 9. Let q = -5.00000003 - k. Round q to seven dps.
0
Let t = 788.34 - 796. Round t to one dp.
-7.7
Let b = 13 + -12.99996. What is b rounded to 5 decimal places?
0.00004
Let o be 2/(-4) + (-43400007)/(-14). What is o rounded to the nearest one million?
3000000
Let l(n) = 7 + 166*n**2 + 3 - 81*n**2 + 71*n**2 - 9*n. Let d be l(-10). Round d to the nearest 1000.
16000
Let u = -2458 - -2458.001079. What is u rounded to four decimal places?
0.0011
Let f = 0.05 + -0.039. Let l = f - 0.010892. Round l to 5 decimal places.
0.00011
Let w = 56 - 108. Let o be (-13)/(w/(-6000000)) + 0. What is o rounded to the nearest 100000?
-1500000
Let z = 48 + -48.000055. Round z to four decimal places.
-0.0001
Suppose 0 = 5*i - 3*i - 4. Let u be 3/(i/1280*3). Round u to the nearest one hundred.
600
Let q = -260.3 + 33.3. Let z = -227.1055 - q. Let o = z + 0.11. What is o rounded to three decimal places?
0.005
Let d = -4 + -3. Let b = d - -7.0026. What is b rounded to 3 dps?
0.003
Let b = 54.042 - 0.042. Let u = b + -178. Let h = -123.99999943 - u. What is h rounded to 7 decimal places?
0.0000006
Let i = -393977.3882 - -7.3882. Let s = i + 393941.000065. Let r = s - -29. Round r to 5 decimal places.
0.00007
Let b = -8.1 - -17.82. Let q = b - 9. Let s = -0.24 + q. What is s rounded to 1 decimal place?
0.5
Let j = -3 - -6. Suppose 1400 = -j*h + h. What is h rounded to the nearest 100?
-700
Let g = -139.91 + 138. Round g to 1 decimal place.
-1.9
Let l = 0.28 - -2.92. What is l rounded to 0 dps?
3
Let x = 1.38166 - 1.38. What is x rounded to 4 decimal places?
0.0017
Let t = 30 - 32.52. What is t rounded to 1 dp?
-2.5
Let i = -7469 - -7505.144. Let x = -36 + i. What is x rounded to two dps?
0.14
Let m = 0.34 - 3.54. Let l = m - -2.3. Let q = l - -0.89913. What is q rounded to four decimal places?
-0.0009
Let p = 4458.09999 + -4458. Let g = 0.1 - p. What is g rounded to 6 dps?
0.00001
Let m(y) = -18741*y. Let g be m(-4). Let w(t) = -t**2 + 11*t + 12. Let j be w(12). Suppose 2*s - 4474964 + g = j. Round s to the nearest 1000000.
2000000
Let m = -21315 - -21315.140088. Let y = m - 0.14. Round y to five dps.
0.00009
Let v = -142.9999395 + 143. What is v rounded to 6 dps?
0.000061
Suppose -20 = -5*x, -5*p + 3*x = x - 92. Suppose 3*y = l + p, 3*y + 2*l = 4*l + 16. Suppose 3*s - y*s = -6500. What is s rounded to the nearest one thousand?
1000
Suppose m + 3*m = 12. Suppose 14 = -m*n + 4*b, 4*n + 2*b = 5*b - 7. Suppose -403 = -n*y - 1603. What is y rounded to the nearest 100?
-600
Let h(j) = 2064*j**2 - 6*j + 3. Let w be h(-6). Let n = 44343 - w. Round n to the nearest 100000.
0
Let b = 5 - 4.9972. What is b rounded to 3 decimal places?
0.003
Let g = -0.16 - -0.3. Let m = g + -0.12. Round m to 2 dps.
0.02
Let y = -1837448.680097 - -1837450. Let q = 1.32 - y. What is q rounded to 5 decimal places?
0.0001
Let i = 0.15 - 0.098. Round i to 2 dps.
0.05
Let l = -1.78283 + -0.28231. Let c = l + -2.9348. Let d = -5 - c. Round d to five dps.
-0.00006
Let x = 0.14 - 0.143. What is x rounded to three decimal places?
-0.003
Let v = 22.3 + -1.5. Let r = v + 1.2. Let z = r + -21.99999964. What is z rounded to 7 decimal places?
0.0000004
Let g = 26902 - 99902. Round g to the nearest 10000.
-70000
Suppose -2*n = -3*f, -3*f = 3*n + 1 - 16. Suppose -n*m + 4*l + 1439975 = -l, 0 = 5*m + 4*l - 2400020. What is m rounded to the nearest 100000?
500000
Let l be 2/(-5) - (-10890908)/20. Let x = l + -2444545. What is x rounded to the nearest 1000000?
-2000000
Let i be 0 + 7 + (-12)/6. Suppose 10*w = i*w + 1120. Suppose d = -3*d - w. Round d to the nearest 10.
-60
Let v = -14 - -13.86. Let m = 0.38 + v. What is m rounded to one decimal place?
0.2
Let j = 379 - 242. Let r be 158/(-2) + (-21)/(-7). Let c = j + r. Round c to the nearest 10.
60
Let p = 4.297 - 1.2965. Let t = -3 + p. Round t to three dps.
0.001
Let s = 0.07 - 0.0705. Round s to three dps.
-0.001
Let c = 20 - 19.99999976. What is c rounded to seven decimal places?
0.0000002
Suppose -3*d - i - 391 = -14701, 0 = -2*d + 2*i + 9540. Round d to the nearest one thousand.
5000
Suppose 0 = 5*l - 4*l. Let x = 0 - l. Suppose -3325 = 4*i - n, -3*n + 2 + 13 = x. What is i rounded to the nearest one hundred?
-800
Let c = 48 + -47.02. What is c rounded to one decimal place?
1
Let f = -0.881 - -0.93. Let y = f + -1.169. Let n = y + 1.12000047. Round n to seven dps.
0.0000005
Let u = 4363 + -2539. Let c be 4/(-14) + u/14. Round c to the nearest one hundred.
100
Let p = -641663364 + 641663336.0601961. Let m = p + 27.9278. Let c = m - -0.012. Round c to 6 dps.
-0.000004
Let g = 287730 - 202935. Suppose -5*n = -4*o + 173991, 3*n + 2*n + 173979 = o. Let r = n + g. Round r to the nearest ten thousand.
50000
Let q(p) = -3 + 5*p + 0 + p. Let i be q(4). Suppose i = t - 13. Round t to the nearest ten.
30
Let m = -12.85 + -0.15. Let k = -13.7 - m. Let p = k + 0.664. Round p to 2 decimal places.
-0.04
Let i(o) = 8*o - 4. Let n be i(7). Suppose 0*p = -2*p + n. Let a be 57204/p - 6/39. Round a to the nearest 1000.
2000
Let n be (-116026409)/4 - 3/(-12). Let x = n - -47606602. Suppose -i + x = -4*i. Round i to the nearest one million.
-6000000
Let n = -0.4230017 - -0.27300313. Let i = n + 0.15. Round i to 7 decimal places.
0.0000014
Let m = -101411183072873498 + 101411181625734210.00000027. Let a = m - -1447139272. Let p = 16 + a. Round p to seven decimal places.
0.0000003
Let j = 0.1768 - 0.18. Round j to three dps.
-0.003
Let w = 0.0354 + -0.016. What is w rounded to 3 decimal places?
0.019
Let l(y) = -50248*y + 8. Let t be 54/(-12) + (-2)/(-4). Let x be l(t). What is x rounded to the nearest ten thousand?
200000
Let k be (-96)/36*213/(-4). What is k rounded to the nearest 10?
140
Let d = 0.05 + -0.049. Let f = -0.00100116 + d. Round f to seven decimal places.
-0.0000012
Let y = -1167 - -1166.5148. Let g = y + 0.5. What is g rounded to three decimal p | {
"pile_set_name": "DM Mathematics"
} |
g + 3500?
1967304
Find the second derivative of -2*t**4 + 3*t**3 + 5448*t**2 + 48499*t.
-24*t**2 + 18*t + 10896
Find the second derivative of 540*y**4 + 12*y**3 - 18*y + 265 wrt y.
6480*y**2 + 72*y
What is the derivative of 2059641*k + 282094?
2059641
What is the second derivative of -1466*c**5 - 6*c**4 - 18*c**2 + 2834348*c wrt c?
-29320*c**3 - 72*c**2 - 36
What is the third derivative of k**3*n**3 - 20*k**3*w + 7*k*n**4*w - 47*k*n**4 + 20*k*n**2*w + k*n*w wrt n?
6*k**3 + 168*k*n*w - 1128*k*n
What is the first derivative of 2*b**2 + 1169*b + 38469 wrt b?
4*b + 1169
What is the third derivative of -w**6 + 886*w**5 - 2*w**4 - 3*w**2 + 965*w + 3 wrt w?
-120*w**3 + 53160*w**2 - 48*w
What is the second derivative of -103548*f**5 + 304204*f wrt f?
-2070960*f**3
What is the third derivative of 30877*z**3 + 133820*z**2 wrt z?
185262
What is the third derivative of 782862*z**3 - 3*z**2 - 155106*z wrt z?
4697172
Find the second derivative of 57*n**4 + 3538*n**3 - 1791899*n.
684*n**2 + 21228*n
Differentiate 341*m**3*o + 1738450*m**3 + 215*m**2*o + 2*m*o + o with respect to o.
341*m**3 + 215*m**2 + 2*m + 1
Find the third derivative of -10*f**3*j**3 + 4235*f**3*j**2 + 2812*f**2*j**3 - 56*j**3 wrt f.
-60*j**3 + 25410*j**2
What is the second derivative of 7*a**3 - 9585*a**2 - 292539*a wrt a?
42*a - 19170
What is the third derivative of 415682*w**4 + 9293*w**2 - 3*w - 2?
9976368*w
Find the second derivative of 142*m**3 - 6442*m**2 - 605953*m wrt m.
852*m - 12884
What is the first derivative of -39*a*p**3*w + a*p**2*w + 6*a*p**2 - a*w - 2365*p**3 + 10*p*w wrt w?
-39*a*p**3 + a*p**2 - a + 10*p
What is the second derivative of -2*i**3 + 47789*i**2 - 10135*i - 36?
-12*i + 95578
Find the second derivative of 33808*d**2 - 85755*d.
67616
What is the third derivative of -l**4*s**2 + 28142*l**4 + 14*l**2 - l*s**2 - 21*s + 60 wrt l?
-24*l*s**2 + 675408*l
What is the third derivative of 4*i**6 + i**5 + 1078*i**4 - 54880*i**2 wrt i?
480*i**3 + 60*i**2 + 25872*i
Find the third derivative of -743449*t**3 - 11*t**2 - 11860*t wrt t.
-4460694
What is the third derivative of 37*i**3*k + 352*i**3 + 21299*i**2 - 2*k wrt i?
222*k + 2112
Find the first derivative of 191771*v**2 - 2123412.
383542*v
Find the second derivative of 366*g**4 + 188*g**3 - 5174863*g wrt g.
4392*g**2 + 1128*g
What is the second derivative of -53*j**5*z + 5023*j**2*z**3 + 24*j*z**3 - j + 76*z**3 - 35*z**2 wrt j?
-1060*j**3*z + 10046*z**3
What is the third derivative of 4*h**5 + 14245*h**3 + 106722*h**2?
240*h**2 + 85470
Find the second derivative of 18*f**2*l**4 + 19*f**2 + 72*f*l**3 + 72*f*l - 57*l**2 - 108*l wrt l.
216*f**2*l**2 + 432*f*l - 114
What is the derivative of -1260403*x**2 - 1109592?
-2520806*x
What is the second derivative of -2047985*f**2 + 2424265*f wrt f?
-4095970
What is the third derivative of -3191*u**3 + 30777*u**2 + 2?
-19146
What is the second derivative of 2677236*y**2 + 1330181*y wrt y?
5354472
Find the first derivative of -7193*j**2 + 3*j*v**2 + 46318*v**2 wrt j.
-14386*j + 3*v**2
What is the third derivative of 193*d**5*y**2 - 9*d**5 - 57142*d**2*y**2 wrt d?
11580*d**2*y**2 - 540*d**2
What is the second derivative of 1472*t*u**2 - 2*t*u + 3*u**2 - 16785*u wrt u?
2944*t + 6
What is the first derivative of 157371*h - 220219 wrt h?
157371
Find the first derivative of -4047949*s + 31061 wrt s.
-4047949
Differentiate 244636*n**4*u + 5*n**2*u**3 - 3*u**3 - 482805*u**2 with respect to n.
978544*n**3*u + 10*n*u**3
What is the derivative of -106454*r*u + 132540*r - 1 wrt u?
-106454*r
Find the second derivative of -3*i**5*u + 322*i**5 - 3*i**2*u - 4*i*u - 45*i - 2*u - 54 wrt i.
-60*i**3*u + 6440*i**3 - 6*u
Find the third derivative of 43*l*r**3 + 3*l*r**2 - 9*l*r + 156*r**5 - 31*r**2 wrt r.
258*l + 9360*r**2
Find the second derivative of 1632413*a**4 - 988*a + 114.
19588956*a**2
Find the third derivative of 92546*v**3 - 178416*v**2 wrt v.
555276
What is the first derivative of -27782*r + 10232?
-27782
What is the second derivative of -2474*k**4 + 2*k**3 - 7*k**2 - 3*k - 5107?
-29688*k**2 + 12*k - 14
What is the third derivative of -360195*x**3 + 3*x**2 - 172023?
-2161170
What is the derivative of 140753*p**3*r**3 + 2*r**3 - 3*r**2 + 9485 wrt p?
422259*p**2*r**3
Find the third derivative of 181531*f*i**6 - 3*f*i**4 + 1341*f*i**2 - f*i - 5*f + i**2 + 2*i wrt i.
21783720*f*i**3 - 72*f*i
What is the first derivative of -2*a**4 - 504*a**3 + 26*a**2 - 55748?
-8*a**3 - 1512*a**2 + 52*a
What is the third derivative of 232*f**2*r**3 + 10*f**2*r**2 + 3930*f**2 - 5*f*r**3 - 31*r**3 + 1 wrt r?
1392*f**2 - 30*f - 186
Find the third derivative of 1891315*z**4 + 2819529*z**2.
45391560*z
Differentiate -10177*c**2*j**3 + 169*c**2 + 2*c - j**4 - j - 105 wrt j.
-30531*c**2*j**2 - 4*j**3 - 1
Find the third derivative of 72*t*x**3 - 4*t*x**2 - t + 291*x**4 + 4242*x**2 wrt x.
432*t + 6984*x
Find the second derivative of 3123681*h**3 + 2*h**2 + 1235417*h wrt h.
18742086*h + 4
Differentiate -21223*c**4 - 22113.
-84892*c**3
Find the second derivative of 2331267*h**2 + 25*h + 16537 wrt h.
4662534
What is the first derivative of 9*o*p**3 + 9*o*p**2 - 2*o*p - 295*o + 11*p**3 + p**2 + p - 7070 wrt o?
9*p**3 + 9*p**2 - 2*p - 295
Differentiate 40*r**3*y - 42865*r**2*y + 513630*y - 2 wrt r.
120*r**2*y - 85730*r*y
Find the third derivative of -1443*u**4 - 169*u**3 + 3*u**2 - 42193*u - 2 wrt u.
-34632*u - 1014
What is the third derivative of 88*r**3*z**3 + 440785*r**3*z + 74*r**2*z**3 + 2*r**2*z**2 + z**3 wrt z?
528*r**3 + 444*r**2 + 6
Differentiate -1505*s**4 - 2*s**3 + 2*s**2 - 36312 wrt s.
-6020*s**3 - 6*s**2 + 4*s
Find the first derivative of -j**3*t - 165*j + 3071*t - 5 wrt j.
-3*j**2*t - 165
What is the second derivative of 50437*b**4*d + b**3*d + 4*b*d - 3*b - 183*d + 2 wrt b?
605244*b**2*d + 6*b*d
What is the derivative of 13*l**3 + 6*l**2 - 6*l - 19592 wrt l?
39*l**2 + 12*l - 6
Differentiate -1070*j**2*y**3 + 58878*j**2 + 2*j*y**4 wrt y.
-3210*j**2*y**2 + 8*j*y**3
Find the second derivative of -7*r*v**3 - r*v**2 - 51*r*v - 30*r + 72*v**3 - v**2 + 2*v wrt v.
-42*r*v - 2*r + 432*v - 2
What is the second derivative of -1534171*t**3 - 125488*t - 3?
-9205026*t
Differentiate 49083*s - 45943.
49083
What is the second derivative of -86067*k**3*v**2 - k**3*v - 5*k**2 + 76*k*v wrt v?
-172134*k**3
What is the second derivative of 2*l*w**2 - 1272*l*w - l - 2683*w**5 wrt w?
4*l - 53660*w**3
Differentiate -2*l**2*x**2 - 2*l**2*x - 31053*l**2 + 7231*x**2 with respect to x.
-4*l**2*x - 2*l**2 + 14462*x
What is the third derivative of 232312*t**3 + 426757*t**2?
1393872
Find the third derivative of -k**3*q**3 - 7*k**3*q*v - 190*k**3 - 58*k**2*q**3 + 6*k*q**3*v + 9*k*q**3 wrt k.
-6*q**3 - 42*q*v - 1140
What is the first derivative of -38028*n + 10989?
-38028
What is the first derivative of 12619*q - 44718 wrt q?
12619
Find the first derivative of -9*g**2 + 12929*g + 889172 wrt g.
-18*g + 12929
Find the third derivative of 1441626*t**4 + 1443503*t**2.
34599024*t
Find the third derivative of 3*b**3*i*k*t**3 + 5*b**3*i*k*t**2 - b**2*i*k*t + 149*b**2*i*t**2 - 19189*b*k*t**3 - 51*i*k*t - i*t**3 wrt t.
18*b**3*i*k - 115134*b*k - 6*i
What is the first derivative of 563879*m**2*w**2 + 2*m**2*w + 31*m**2 - 1336*m - 5 wrt w?
1127758*m**2*w + 2*m**2
What is the second derivative of -10429*j**4 - 45*j**3 - 639139*j wrt j?
-125148*j**2 - 270*j
Find the second derivative of -39894*n**3 + 61*n + 303 wrt n.
-239364*n
Find the third derivative of 604*g*u**4 + 20368*g*u**2 - 2*g*u - 9*u**4 wrt u.
14496*g*u - 216*u
What is the third derivative of m**6 - 1582*m**5 - m**3 - 5046*m**2 - 6?
120*m**3 - 94920*m**2 - 6
Find the second derivative of 652*g**2*i**3 + 1519*g**2 - 163*g*i + 180*i**3 wrt g.
1304*i**3 + 3038
What is the second derivative of -218573*t**4 + 7335*t + 7?
-2622876*t**2
What is the third derivative of 127354*s**3 - 22*s**2 - 162 wrt s?
764124
Find the second derivative of -17*g*o**2 - 2*g*o + 7450*g + 279*o**2 - o wrt o.
-34*g + 558
Find the third derivative of 15722*v**3 - 23*v**2 + 144*v - 2 wrt v.
94332
Find the second derivative of -1221797*b**5 - 146*b - 131 wrt b.
-24435940*b**3
What is the third derivative of 2753737*v**6 - 1113954*v**2?
330448440*v**3
Find the first derivative of 5*m*r**4 - 2*m*r + 14315*m - 355*r**4 wrt r.
| {
"pile_set_name": "DM Mathematics"
} |
prime?
True
Let f = 556 - 67. Is f a composite number?
True
Let q(z) = 332*z - 5. Is q(2) a composite number?
False
Suppose 12*c - 6734 - 48718 = 0. Is c a composite number?
False
Let u(s) = s + 10. Let n be u(-7). Is 1/n + (-1424)/(-12) a prime number?
False
Suppose 3*x + 5*j - 3550 = -1303, 2*j = 0. Is x composite?
True
Let z = -706 + 1569. Is z a prime number?
True
Suppose -45*h = -38*h - 133. Is h a composite number?
False
Suppose 3*o + 22 - 4 = 0. Is (4/o)/((-8)/4452) a composite number?
True
Let u be (1/2)/((-2)/(-8)). Suppose -3*p + 34 = -u*p. Is p a prime number?
False
Let d be (-45)/(-3) + (0 - 3). Suppose 0 = 5*y + 3*f, -y - 3*f + 0*f = -d. Is (-3 - y) + (19 - -2) composite?
True
Let q(g) = 63*g + 2. Let t be q(2). Suppose -4*y + 5*m + t = -0*y, 3*y - 127 = -4*m. Is y prime?
True
Suppose 3*r - 8*r - 5*v + 5940 = 0, 3*v - 1192 = -r. Is r composite?
True
Let a = -5 - -7. Let x(c) = c**2 + 6 - 4*c + 12*c + 0*c**a + 4. Is x(-8) composite?
True
Is -478*(-4 + ((-14)/4 - -2)) composite?
True
Let i(p) = -p + 6. Let f be i(4). Is 63 + f - 4/(-2) a composite number?
False
Let n(y) = y**3 - 14*y**2 + 6*y - 8. Let v(b) = 3*b**3 - 41*b**2 + 19*b - 24. Let h be (69/(-12) + 3)*-4. Let g(c) = h*n(c) - 4*v(c). Is g(7) prime?
False
Suppose -2*p = 3*p - 2475. Suppose -5*d = -2*d - p. Suppose 3*j = 6*j - d. Is j composite?
True
Let b = 111 + 16. Is b composite?
False
Suppose 2*a - 207 = -f - 2*a, -3*f - 5*a = -593. Is f a composite number?
False
Is (4/(8/(-251)))/(1/(-2)) composite?
False
Let b(d) = -d**2 + 3*d + 7. Let m be b(5). Let g = -6 - -17. Let i = g - m. Is i composite?
True
Suppose -3 = -5*w + 4*w. Let k be -2 - w/((-6)/8). Suppose -9 = -3*r + 2*q, r + 3*q - 9 = -k*r. Is r prime?
True
Is (-101)/(33/78 - (-2)/(-4)) a composite number?
True
Suppose 2*w - 446 = -w + 5*z, -z = -2*w + 309. Is w composite?
False
Let g(f) be the first derivative of 179*f**4/4 - f**2/2 - 1. Let m be g(1). Suppose -u + m = u. Is u prime?
True
Suppose 9*p - 4*p - n - 1689 = 0, 3*p = -n + 1007. Is p a prime number?
True
Suppose -w + 137 = p + 2*w, 3*p + 2*w - 376 = 0. Let j = p + -87. Is j a prime number?
False
Suppose 3*h + 2*h = 0. Suppose h*i - 3*i + 669 = 0. Is i prime?
True
Is 0/2 - (-10 + -457) composite?
False
Is 80 - (1 - 5 - -1) prime?
True
Let n(d) = -4*d + 6 + 2*d**2 + 4*d - 2*d. Is n(-4) composite?
True
Let v = -52 + 29. Let d = 56 + v. Is d a composite number?
True
Suppose 4*l - 1 = 4*u + 3, 5*u - 3 = 3*l. Suppose -u*p = 4*p - 1645. Is p prime?
False
Is (-189)/(-4) - (-1)/(-4) a prime number?
True
Let d = 285 + -198. Is d a prime number?
False
Suppose 5*f = -5*b - 66 + 6, 5*f = 0. Let i = -5 + 7. Is (-928)/b - i/6 a prime number?
False
Suppose -v - 5*y = -3264, 7785 = 4*v + y - 5290. Is v a composite number?
True
Let a(l) = -2*l**2 - 4*l - 3 + 0 - 2. Let x(d) = d**3 - d**2 - 3*d - 4. Let v(s) = -3*a(s) + 4*x(s). Is v(2) a prime number?
False
Let r = 136 - 309. Let o = r - -384. Is o a prime number?
True
Let l(a) = -a**2. Let v(c) = c**2 - 34. Let r(o) = -2*l(o) - v(o). Is r(0) a prime number?
False
Let g(w) = -7*w**3 - 6*w - 13. Is g(-6) a composite number?
True
Suppose -7 + 1 = -2*h. Is -1 + -1 + h*9 a prime number?
False
Let h = 0 - -6. Is (92/h)/((-2)/(-21)) prime?
False
Let c = -4 - -4. Let b = 33 - c. Suppose b = f + 5*d, 3*f + 0*d = 2*d + 31. Is f a prime number?
True
Let b be (18/(-4))/(9/(-132)). Suppose 2*k + b = 4*k. Is k a composite number?
True
Suppose 3*o + 291 = 5*b, 2*b + 0*b - 117 = o. Let r = 83 + b. Is r a composite number?
True
Suppose 4*p = -p + 13835. Is p a composite number?
False
Suppose 631 + 3278 = 5*f + b, 20 = 5*b. Is f a prime number?
False
Suppose 2*t = t. Suppose -c + 6*c - 305 = t. Suppose -3*v - c = -256. Is v a prime number?
False
Let g = 1507 - 788. Is g a prime number?
True
Suppose 2*n = 7*n - 10. Let x be 5 + -3 + n - -2. Is (-3)/6 - (-897)/x a composite number?
False
Suppose o + 3 = 4. Let p(u) = 10*u**2 - u + 1. Let l be p(1). Is 128/l - o/(-5) composite?
False
Let i(r) = -4*r + 11. Is i(-25) a prime number?
False
Let p(o) = o**3 + 9*o**2 - 4. Let s be p(-8). Suppose 0*h - 4*h - s = 0. Let j = 26 + h. Is j composite?
False
Suppose 4 = 3*k + 5*w, k - 4 = -0*w + w. Let a(l) = 12*l + 1. Is a(k) prime?
True
Suppose -5*y = -4*z + 694, -y = y + z + 275. Let h = y + 227. Is h a composite number?
False
Let u be 11/3 + 2/(-3). Let c(g) = 5*g**2 - 2*g + 4. Is c(u) prime?
True
Suppose 4 = -4*h, 3*d - h = 625 + 1974. Is d composite?
True
Let p = -200 - -873. Is p a composite number?
False
Let z = -5 + 7. Is (-131)/((z - 3)*1) prime?
True
Let o(t) = -t**2 - 3*t + 2. Let n be o(-3). Let r be 48/18*(-3)/n. Is 13*5 + r/(-2) a composite number?
False
Let b(y) = -2*y - 9. Let x be b(-7). Suppose -w - 2*w = x*p - 37, 0 = -2*p + 5*w + 21. Is 522/p + (-1)/4 a composite number?
True
Suppose 15 = -4*u - y, 3*y = -2*u + y. Let g(c) = -4*c - 1. Is g(u) prime?
True
Let p(u) = -3*u - 1. Let t(g) = g + 1. Let n(b) = -p(b) + 2*t(b). Is n(4) a composite number?
False
Let h = 94 + -29. Is h prime?
False
Is 1157/((-6 + 0)/(-6)) composite?
True
Let z be (-2 + 19 - -1)*3. Is (-2)/4 - z/(-4) prime?
True
Suppose 7729 = 8*k - 7*k - 3*h, -2*k + 15502 = 5*h. Is k prime?
True
Let q = 4 - 2. Suppose -t - q = -2*t. Suppose 2*u + t*u = 24. Is u prime?
False
Let n(y) = -y**3 - 5*y**2 + 4*y + 1. Let o be n(-6). Suppose -v - 2 + o = 0. Is v a composite number?
False
Suppose 32 + 1 = 3*i. Is i prime?
True
Suppose -l + 0*l = -553. Is l a prime number?
False
Is 4 + (-3 - (1 - 103)) prime?
True
Let j(s) be the second derivative of -s**5/20 - 4*s**4/3 - 5*s**3/2 - 7*s**2/2 + 6*s. Is j(-16) prime?
True
Let j(l) = 41*l**2 - 4*l + 2. Is j(2) prime?
False
Suppose 22*s - 23*s = -89. Let k = s - -330. Is k prime?
True
Let l(v) = 135*v**2 + 2*v - 3. Is l(1) a composite number?
True
Let f be (-44)/14 + 1/7. Is (f - (-8)/2) + 88 a composite number?
False
Is (-2)/((-4)/(-6)) + 214 a composite number?
False
Let o(i) = -i. Let q be o(-13). Let g(t) = 4*t**2 + t + 3. Let b be g(3). Let h = b + q. Is h prime?
False
Suppose -n + 8 = -4*z, 35 - 15 = 4*n - 4*z. Suppose c = -3*p + 10, n*p = 3*c + 17 + 5. Is (14 - (-2)/c) + 0 prime?
True
Suppose -4*a = -7*a + 138. Is a prime?
False
Suppose -1842 = v - 7*v. Is v a prime number?
True
Suppose -r = 2*r. Suppose c + 4*c = 1070. Suppose r = 3*t - 17 - c. Is t a composite number?
True
Let h(u) = u + 6. Let b be h(5). Let s = 142 - 85. Suppose 2*t + b - s = 0. Is t a composite number?
False
Let q be (-4)/12 + 2/(-3). Is (-1)/(2/(-180)) + q prime?
True
Suppose -5*o + 1445 = -2*i, 5*o - 569 = 3*o - i. Is o composite?
True
Suppose 68 = 31*r - 29*r. Is r prime?
False
Let k be (-2)/9 + 47/9. Suppose 3*t + 602 = k*m, 2*m + 0*t - 5*t = 237. Is m a prime number?
False
Let m = 1100 + -189. Is m prime?
True
Let u(a) be the first derivative of -2 + 3*a + 3/2*a**2 + 0*a**3 - 11/4*a**4. Is u(-2) a composite number?
True
Is (3/2)/(3 - 273/92) composite?
True
Let g(x) = -43*x - 7. Is g(-2) a composite number?
False
Let f = 60 + -24. Suppose -31 = -u + f. Is u prime?
True
Let m(k) = k**2 + 3*k - 1. Let g be m(-3). Let q = g + 5. Let f = q - -63. Is f a composite number?
False
Is -4*(-4)/16 - -580 prime?
False
Let b be 2/5 + 293/5. Is (b - 4)*3/5 a composite number?
True
Suppose 876 = 4*u - 596. Suppose 110 = 2*n - u. Is n composite?
False
Is 14720/30 - (-1)/3 composite?
False
Let m(h) = -12*h + 2. Let n(s) = 3*s - 1. Let t be n(1). Let x be m(t). Is (-1)/(-2 + (-42)/x) composite?
False
Suppose z - 316 = -3*d + 7*d, 3*d + 4*z = -237. Let v = d + 132. Is v a prime number?
True
Let a = 16 + 221. Is a prime?
False
Let v = 23 - -15. Let f = v + -9. Let p = 50 - f. Is p prime?
False
Let a = -138 + 547. Is a prime?
True
Let w(m) = -13*m + 4. Let v(i) = -26*i + 7. Let s be (-1 - -4)/(-1 - 0). Let g(k) = s*v(k) + 5*w(k). Is g(4) a composite number?
True
Let g be (1 - 1)/(-2)*-1. Suppose g = -t - 3*c + 8, -t = 2*t - c - 14. Suppose t*s - s = f - 57, 4*f - 217 = 5*s. Is f a prime number?
True
Let r = -313 - -210. Let j = r + 177. Is j prime?
False
Suppose -4*c = -1460 - 3368. Is c a composite number?
True
Let w(l) = 111*l - 1. Let a be w(2). Let f = a - -1. Suppose -2*x - 3*x + 555 = -3*j, 2*x - f = 3*j. Is x a composite number?
True
Suppose -2*k - 44 = 2*k. Let y be | {
"pile_set_name": "DM Mathematics"
} |
hat is the smallest value in -8/9, -4/3, 0.4, 32?
-4/3
What is the third biggest value in 4, 0.1, -1.9, 1?
0.1
What is the third smallest value in -0.2, 0.04, 17?
17
Which is the biggest value? (a) 0.7 (b) 14 (c) -0.2
b
What is the second biggest value in -40, -0.5, 0?
-0.5
What is the fourth smallest value in -38, -1, 2/3, -1/14?
2/3
Which is the third smallest value? (a) 5 (b) -25 (c) 2/11 (d) -0.1 (e) -2
d
Which is the biggest value? (a) 4.23 (b) -3/5 (c) -0.3
a
Which is the third biggest value? (a) -4 (b) 60 (c) -0.2
a
What is the third biggest value in -0.3, -0.008, -1/11?
-0.3
What is the biggest value in 1.8, -2, 1, 2/23, -4?
1.8
Which is the third biggest value? (a) -2/13 (b) 3 (c) -3 (d) 146
a
What is the fourth smallest value in -0.2, 1, -7, -5?
1
Which is the fourth smallest value? (a) 2/5 (b) 3 (c) 0 (d) -5/4
b
What is the second smallest value in -3, 0.5, -1/5?
-1/5
Which is the second smallest value? (a) -6/13 (b) -3 (c) -26
b
What is the biggest value in 0.3, 28, -1?
28
Which is the biggest value? (a) 4 (b) 1/3 (c) -17
a
Which is the smallest value? (a) -1 (b) 0.1 (c) 0.068 (d) -2 (e) -1/4
d
What is the smallest value in 0.5, -1/4, 78?
-1/4
Which is the biggest value? (a) -3 (b) -46 (c) -0.4 (d) -0.5 (e) 12/11
e
What is the third biggest value in 9, 4/11, -1/8?
-1/8
Which is the smallest value? (a) -69 (b) 1 (c) 1/4 (d) -4 (e) -0.4
a
Which is the fourth smallest value? (a) 0.2 (b) -4/5 (c) -5 (d) 22.4
d
Which is the third smallest value? (a) -3 (b) 38 (c) 0 (d) 1/3
d
Which is the fourth biggest value? (a) 1/2 (b) 0.7 (c) -0.07 (d) -2/11
d
What is the second smallest value in 0.2, -1, -0.2, -99?
-1
What is the second smallest value in -1470, 2/7, 0?
0
Which is the second smallest value? (a) 3 (b) 1/395 (c) 2/17
c
Which is the third smallest value? (a) -2 (b) -0.341 (c) 0
c
What is the biggest value in -3, 16, 0.1, -1?
16
What is the fourth biggest value in 8810, 0.4, -5, 2?
-5
Which is the third smallest value? (a) 1/2 (b) 0 (c) -0.01 (d) -0.08 (e) -0.4
c
What is the smallest value in 2, -12, -0.06?
-12
Which is the third biggest value? (a) -2 (b) -1/7 (c) -71/8 (d) 0.3
a
What is the third smallest value in -1/2, -8/5, -4, 1/9, 3?
-1/2
Which is the third smallest value? (a) 0 (b) -0.7 (c) -1580/3
a
Which is the smallest value? (a) 5 (b) -2/3 (c) -1 (d) 2
c
Which is the second biggest value? (a) -2/3 (b) 2.67 (c) -0.1
c
Which is the fourth smallest value? (a) -3 (b) -0.2 (c) 0 (d) -0.15
c
Which is the fourth biggest value? (a) -1/3 (b) 2 (c) -2/5 (d) -4
d
Which is the smallest value? (a) 0.1 (b) -7 (c) -3/2 (d) 2/37
b
What is the fourth biggest value in -2/15, 4, 4/15, 1/6?
-2/15
What is the fourth biggest value in 2/11, -2/17, 12, 1?
-2/17
Which is the third biggest value? (a) -9 (b) -3/5 (c) 0.05
a
Which is the third smallest value? (a) 7 (b) -3 (c) -4/19 (d) 0.4
d
Which is the second smallest value? (a) -0.03 (b) 7 (c) 3/7 (d) 11
c
Which is the third biggest value? (a) -4/3 (b) 2 (c) -3
c
What is the second smallest value in -2/45, -3/5, -3, -5?
-3
What is the fourth biggest value in 64, 2, 0.5, 0.1?
0.1
Which is the second smallest value? (a) -1/5 (b) 3.6 (c) 0.1
c
What is the biggest value in 22, -74, -3?
22
Which is the second biggest value? (a) -0.04 (b) -3/2 (c) -1/3
c
Which is the third biggest value? (a) 1/2 (b) -5 (c) -23
c
Which is the smallest value? (a) 4 (b) 5 (c) -0.2 (d) 49
c
What is the third smallest value in -5, 0, 15?
15
What is the second smallest value in 0.1, -5, -0.05, 0?
-0.05
What is the smallest value in 2, 0.7, 2/3, -0.1?
-0.1
Which is the third biggest value? (a) 2 (b) -106 (c) 1/2 (d) 0.4
d
What is the second smallest value in 5, -0.3, -0.5, -4?
-0.5
Which is the second biggest value? (a) 1.3 (b) 5 (c) 0 (d) -0.4
a
What is the second smallest value in 2, -0.1, 50?
2
Which is the second smallest value? (a) 0.8 (b) 2/3 (c) -11 (d) 2
b
Which is the second smallest value? (a) -7 (b) 1 (c) 1/4 (d) 114 (e) -1/3
e
What is the fourth biggest value in -0.2, 2/9, 1, 0.02, -3?
-0.2
What is the third smallest value in 3/2, 0.3, -2/7, -12?
0.3
Which is the biggest value? (a) 1/7 (b) 0.5 (c) -1 (d) 2/11
b
Which is the third biggest value? (a) -0.4 (b) -1 (c) 29/4 (d) 0.4
a
What is the third biggest value in -1, 3, -7, 0.4, -66?
-1
Which is the third smallest value? (a) 1/6 (b) -4 (c) -1/363
a
What is the third biggest value in -5, 2/7, -2/21, 0.015?
-2/21
What is the fourth smallest value in -7, 1, -4, -1/2?
1
What is the third smallest value in -4/9, 3/2, 0, -0.2?
0
Which is the second biggest value? (a) 309 (b) 1/7 (c) -2/11
b
What is the biggest value in 4, 0.04, -2, -3?
4
What is the third biggest value in 33, -4, 0, 4?
0
What is the smallest value in -5, 6, 0.53?
-5
What is the second smallest value in 1/2, 4/15, 6?
1/2
What is the second smallest value in 6/23, -8, 3/4, 0, 1?
0
Which is the second biggest value? (a) -0.5 (b) 0.4 (c) 28/5
b
Which is the third biggest value? (a) -2 (b) 4457 (c) -1
a
What is the second smallest value in 236, -3, 0, -1/2?
-1/2
What is the second smallest value in 3/202, -4/5, 4?
3/202
What is the second biggest value in -7, -0.3, -12?
-7
What is the third smallest value in -2, 4, -2/283?
4
Which is the third smallest value? (a) 0.2 (b) -5 (c) -5/13 (d) -6
c
Which is the fourth smallest value? (a) 2/7 (b) 15/2 (c) 5 (d) 2/5
b
What is the fourth smallest value in 18, 3, -2, 2?
18
What is the third smallest value in 0.5, 17, 0, 2/15?
0.5
What is the second biggest value in 812, 0, -2/7?
0
What is the fourth biggest value in -0.15, 25, -2, -4, 1/3?
-2
What is the third smallest value in -0.07, 0.5, 2?
2
What is the biggest value in 482, 0.2, 1/4?
482
What is the fourth biggest value in 1.5, 5/6, 0.9, 0.3?
0.3
What is the smallest value in -4, -15, 3/8, -3?
-15
What is the second smallest value in 3/34, -1/2, -0.1?
-0.1
What is the smallest value in 2/5, 20, -9/7?
-9/7
What is the fourth biggest value in 0, -0.5, -92, 0.4?
-92
Which is the third biggest value? (a) -1 (b) 0.07 (c) 0.12 (d) 1/9 (e) 1
d
Which is the third smallest value? (a) -1 (b) 0 (c) -5.4 (d) -3
a
What is the third biggest value in 0.2, 114, 0, 1/4, -2?
0.2
What is the third smallest value in 68, -0.17, 0.5?
68
What is the second biggest value in -0.3, -15, -4, 6?
-0.3
Which is the second smallest value? (a) 4 (b) -4.7 (c) 0.4
c
What is the fifth biggest value in -3/7, -3, -166, -0.5, 0.2?
-166
Which is the second biggest value? (a) 10/9 (b) 58 (c) 2
c
Which is the third smallest value? (a) -15 (b) -1 (c) 0 (d) 0.01
c
Which is the second smallest value? (a) 4 (b) -2 (c) -0.3 (d) -4/13
d
Which is the fourth biggest value? (a) 2/7 (b) 22 (c) -4 (d) -2/7 (e) -3
e
What is the third biggest value in -2/7, 2/11, -1, -2/11, 108?
-2/11
What is the smallest value in 3/2, 0.5, -2014?
-2014
Which is the fourth biggest value? (a) 4.277 (b) 1/3 (c) 4 (d) -0.4
d
Which is the second smallest value? (a) -16.1 (b) -2/13 (c) -8
c
What is the smallest value in 4/5, -8, 5/7?
-8
Which is the second biggest value? (a) -7 (b) -4 (c) -0.1 (d) -0.4 (e) 5
c
What is the biggest value in -2.1, 2/5, 10?
10
What is the second smallest value in 2/13, 4, -3/34, -2?
-3/34
What is the second smallest value in -6, 3, -1/67, 5?
-1/67
What is the second smallest value in 10, 0.3, -5, -19?
-5
Which is the biggest value? (a) 1/7 (b) -3 (c) -138 (d) -1
a
What is the fourth biggest value in -20/3, 0.2, -0.1, 0.08, -1?
-1
Which is the second biggest value? (a) 318 (b) -0.1 (c) 0.4
c
Which is the second smallest value? (a) -80 (b) 1 (c) -2 (d) 1.3
c
What is the second biggest value in 3/7, -18, -3, -9, 2?
3/7
What is the biggest value in -14, -0.1, -9?
-0.1
What is the biggest value in -0.04, -2, 3?
3
What is the biggest value in -5, -3/10, -3/7, 1.5, 0.4?
1.5
What is the second smallest value in 4, 119, -0.4?
4
What is the fourth smallest value in -4, 4, 3, 1/11?
4
Which is the third smallest value? (a) -1/10 (b) 4 (c) -0.065
b
Which is the smallest value? (a) 0 (b) 3 (c) -1/4
c
What is the second smallest value in -4.3, -1/7, -4/5, 2/ | {
"pile_set_name": "DM Mathematics"
} |
4).
-1
What is the value of 39/15 + (-3)/5?
2
Calculate 12/15*(3 + -13 + 15).
4
(-1 - 3) + 55/15
-1/3
Calculate 14/84*(-4)/2.
-1/3
(8/(-2))/(-17 - -3)
2/7
What is 3 - ((-258)/(-18) - 42/18)?
-9
What is the value of (-2)/16*(3 + -13 - -4)?
3/4
Calculate 2/(-14)*11/(33/(-6)).
2/7
-4 + (7 - (-250)/(-90))
2/9
What is 2/(-2) - 24/(-20)?
1/5
Evaluate (-48)/10 - (-8)/(-40).
-5
(-16)/3*(-4 - (-44)/8)
-8
What is the value of 1/3 - (-20)/(-240)?
1/4
((-21)/28)/(3/12)
-3
Calculate (-16)/(-6)*(-18)/12 + -2.
-6
Calculate (-225)/(-30) - 9/6.
6
Calculate (9 + (-16 - -8))/((-2)/8).
-4
Evaluate ((-171)/(-38))/((36/3)/(-2)).
-3/4
What is the value of 9*(-63)/162 + 8/2?
1/2
What is (9/(-132)*2)/(24/32)?
-2/11
What is (-130)/39 - (1 + (-1)/3)?
-4
Evaluate -18 - -26 - (4 + 8).
-4
Evaluate (-3 + -1 - -1)*2.
-6
What is 4 + 3 - (-2070)/(-315)?
3/7
What is (2/3)/((-1)/(-2)*-6)?
-2/9
What is the value of 16 + 1008/(-70) + -1 + -1?
-2/5
(-12)/(-3) + (-105)/28*1
1/4
Calculate (-2)/(-7) - (0 + (-8)/(-14)).
-2/7
What is the value of 2057/231 + -9 + 298/42?
7
Calculate -1 + (-80)/(-126) - (-8)/56.
-2/9
Calculate 2*(8 + 209/(-22)).
-3
Calculate (((-140)/63)/(-2))/(4/18).
5
What is the value of ((-13)/((-130)/(-8)))/(4/30)?
-6
2/(-2) + (-14)/91*-13
1
What is the value of ((-4)/(-4) - -8) + -7?
2
What is the value of (-6)/4*(-5 - (-7)/(-21))?
8
Evaluate (20/24)/(5/4).
2/3
Evaluate 22/165 - ((-128)/(-60) - -5).
-7
What is 3/(-2)*50/(-15) + -1?
4
What is (1 - -4 - (-7144)/(-722)) + 5?
2/19
Calculate (3*4/(-120))/(2/8).
-2/5
Evaluate (-12)/4 + (-75)/(-24).
1/8
Calculate (45/20 + -3)*32/36.
-2/3
What is 5/(30/8)*12/8?
2
(-160)/(-256) - 2/16
1/2
Evaluate 1*5*4/(-12)*3.
-5
Evaluate 1/(-1)*(-2 + 50/30).
1/3
What is (-3 + 11 + 4)/(9/(-6))?
-8
Calculate 4/10 + 17/(-30).
-1/6
(-54)/8 + (-180)/(-240)
-6
Evaluate -6 + (4/10)/((-12)/(-30)).
-5
(-1 + 20/24)*2
-1/3
What is 680/476*((-42)/4)/(-3)?
5
1*21/(5 + 2)
3
24/(-54) - (-12)/27
0
Evaluate (-6)/4*(-16)/8.
3
Evaluate (-15)/((-8100)/444) + 2/(-9).
3/5
((-1)/(-3))/((5/(-15))/(-1))
1
What is the value of 2 + -5 + 11/((-2508)/(-708))?
2/19
Evaluate (7/(-105))/(-2*24/160).
2/9
Calculate (-75 + 72)*(-3)/(-3).
-3
Calculate (-48)/(-18)*((-57)/(-24) + -2).
1
What is (10/(-4) + 3)/(5 - 6)?
-1/2
What is the value of (25/(-10))/(45/(-36))?
2
((-390)/(-910))/(1/(-14))
-6
Calculate ((-24)/20)/((-1)/(-5)).
-6
0 + 13/3 - 4
1/3
(-1)/(-15)*13 - (-2 + 3)
-2/15
What is the value of 1/(-2 - (-4)/4) - -2?
1
Calculate 3*4*3/36.
1
What is ((-3)/(-14))/((45/12)/(-5))?
-2/7
What is (2 - (1 + (-8)/4))/1?
3
What is the value of (0/(-1 + -3))/(-2)?
0
Calculate 2/10 + 3614/(-1170) - -3.
1/9
(-117)/(-630) - (-6)/(-21)
-1/10
Evaluate (1280/(-72))/10*3/4.
-4/3
Calculate 2*14/(-2)*4/(-14).
4
Calculate -1*(-2 + -3 - (-10 - -6)).
1
Calculate 3/6 - (-4 - 61/(-14)).
1/7
Evaluate (-1 + -1*3)*(-9)/(-54).
-2/3
-3*(-1)/(-4)*150/675
-1/6
Evaluate (-8)/(-3)*(-51)/(-34) - 3.
1
Evaluate (59/(-177))/(-1*1*-2).
-1/6
Evaluate (-1)/(-5) + (-264)/(-30) + -6.
3
(-9)/(-3) - -5*36/(-30)
-3
What is the value of (-7 - (-6)/3)/(5/(-5))?
5
Calculate (-2)/(-6)*1*14/(-7).
-2/3
Calculate (13/(-52))/(27/(-24)).
2/9
-7 - 47/(-94)*(-1 - -1)
-7
(-128)/(-384)*3/(-1)
-1
What is the value of (-3 + (-26)/(-14))/((-12)/14)?
4/3
Calculate (-2 - (-2 + 4))/(0 - 2).
2
5*10/(-25)*4/2
-4
Evaluate 22/(-440)*24/(-9).
2/15
What is the value of (3 - (-38)/4)*32/(-160)?
-5/2
((-11)/33)/(5/9)
-3/5
((-1)/((-10)/(-6)))/((-115)/1150)
6
What is 3*(-10*8/16)/(-3)?
5
Calculate (-8)/(-20) + 56/10.
6
Evaluate -2 - (135/15)/((-45)/(-10)).
-4
Evaluate 8/(-20) - (-64)/110.
2/11
Evaluate 44/(-16) + 3 - (-15)/12.
3/2
What is (3/2)/((-7)/(-14))?
3
What is the value of 4*(-3 + (-22)/(-8))?
-1
Calculate 9/6*(-3)/(-18).
1/4
Calculate (-3)/(-4) + -6*323/3672.
2/9
Evaluate 23/161 + -2 + (-237)/(-105).
2/5
Evaluate ((-42)/(-56))/(2*(-1)/16).
-6
What is the value of (-2)/((-22)/(-4) - 3)?
-4/5
What is 390/(-609) - 24/(-42)?
-2/29
Evaluate (-10)/4*(-51)/(-30) + 4.
-1/4
Calculate (-46)/(-70) + (-79)/(-553).
4/5
What is 12*(-1)/2*(17 - 16)?
-6
Calculate (6/(-36))/((-1)/6).
1
What is (-18)/40*48/(-36)?
3/5
What is the value of (128/(-24))/16*15?
-5
What is (-1*(4 - 6))/(5 - 3)?
1
4 - (-18)/(-12)*2
1
What is the value of (-23)/((-690)/100) + 1/(-3)?
3
(-5)/(550/132) + (-134)/(-120)
-1/12
Evaluate 3/(-18)*4*(6 - 0).
-4
Calculate 7 + (-2)/7 + 5786/(-770).
-4/5
Evaluate (15 - 17)*(30/4)/3.
-5
What is the value of (-2)/((-6)/(-9)) - 6/(-3)?
-1
Calculate (-46)/161*(10 + 4).
-4
What is the value of 1420/426 + 1*-3?
1/3
What is the value of ((-28)/(-35))/(-4 - (-234)/60)?
-8
Evaluate (3/2)/((-54)/(-180)).
5
Evaluate (-24)/15 - (28/35)/2.
-2
What is 4 - (252/(-4))/(-7)?
-5
Calculate 23 + -24 + (0 - 2).
-3
What is ((-2)/(-4))/((-36)/(-360))?
5
What is the value of ((-12)/16)/(90/(-20) + 6)?
-1/2
Evaluate (84/(-16))/((-27)/(-24)) - -6.
4/3
Evaluate 6/(-21) - 488/56.
-9
((-12)/20)/(-3*(-1)/(-15))
3
Evaluate 9/(-2)*25/(-150).
3/4
Calculate ((-4)/10)/(4 + 340/(-50)).
1/7
Evaluate (-18)/4*(-21)/63.
3/2
Evaluate (70/(-6))/(-7) + (-11)/(-33).
2
What is the value of 832/(-160) - 1/(-5)?
-5
Calculate (-24)/(-360) - 2/(-6).
2/5
What is the value of 2/6*14/(-35)?
-2/15
Evaluate 7 - (303/101 - -1*4).
0
15/4 - (-3 - (-15)/4)
3
What is the value of 6*(18/4)/9?
3
Calculate ((-48)/30)/((-8)/(-20)).
-4
What is the value of ((-7)/(-2) - 2)*48/18?
4
Calculate 24/7 - (5 - 2) - 1.
-4/7
Calculate 132/55 + -11 + 9.
2/5
What is -2*1/3*6/(-8)?
1/2
What is the value of (-50)/(-125) + ((-12)/5 - 2)?
-4
What is -14 - (-27 + 7 - -8)?
-2
Evaluate (-1 - 5/(-3))*(-60 - -66).
4
Evaluate -3*1*12/(-450).
2/25
Evaluate (0 + -2)/((-12)/18).
3
5/70*3*2
3/7
What is the value of (2 + -5)/(-6)*13/26?
1/4
Calculate 5 + ((-152)/26 - -1).
2/13
What is the value of (-2)/(-4) + 2*(-5)/(-4)?
3
What is (-2 + 24/9)*(-3)/(-13)?
2/13
What is the value of (30/90)/((-1)/3)?
-1
Evaluate -9*(-3)/9 - (-4 - -14).
-7
-14 + 7 - (0 + -11)
4
Calculate ((-34)/(-6) - 4)*(-9)/(-5).
3
What is (-4)/(4/3) - (5 + 1)?
-9
(-1)/(40/(-36)) + (-12)/8
-3/5
What is the value of ((144/(-8))/3 - -5) + 2?
1
(-5)/(-20) - 34/8
-4
What is the value of (-9*(-2)/27)/(14/(-6))?
-2/7
Calculate (6/((-168)/(-7)))/(1/2).
1/2
What is the value of ((-2)/(-6) - 0)*747/(-166)?
-3/2
1*-6*230/(-345)
4
What is 2 + -1 - 5/4?
-1/4
Calculate 7 - 8/1 - -2.
1
Calculate 0 + 4/18 + 456/(-108).
-4
Calculate 288/(-405) + 7/63.
-3/5
((5 - 2) + 1)*29/(-174)
-2/3
3/(-90)*16/(-12)*3
2/15
Evaluate (-13)/10 + (-2)/(-20).
-6/5
Evaluate 13/30 - (4 - 125/30).
3/5
What is ((-2)/36)/(-2 + (-45)/(-20))?
-2/9
Evaluate 4 - 0 - 0/(-4).
4
Calculate (-19 - -9)*4/(-10).
4
1 - (-10)/(100/(-15))
-1/2
Calculate -1 + 42/(-7) + 8.
1
Evaluate (-3)/(216/344) - (-4 - 1).
2/9
What is (-5)/3 - 1320/(-630)?
3/7
Calculate (-34)/6 + 148/(-111) + 0.
-7
Evaluate (-4)/9*27/6.
-2
Evaluate (-5*(-4)/60)/(2/(-6)).
-1
Calculate 2420/308 + 3/21.
8
-25*4/80*4
-5
Calculate -1*(-6)/(-72)*8/2.
-1/3
What is ((-42)/(-18) - 2)*(-2 - -8)?
2
-44*((-203)/42 + 5) - -6
-4/3
What is the value of 62/(-14) - 45/(-105)?
-4
What is (16/120)/(((-4)/(-3))/2)?
1/5
6/(-22)*12/(-18)
2/11
What is (5 - 13 - -5)/(18/4)?
-2/3
What is the value of (-2)/8 - (-65)/100?
2/5
(-6*(0 + 1))/(-17 - -22)
-6/5
Calculate (-13)/(-130) + 123/(-30).
-4
What is ((-30)/300)/(3/(-5))?
1/6
Evaluate (-1)/(-6) + 620/(-120).
-5
Evaluate (8/12)/((-9)/((-378)/(-4))).
-7
Calculate -6 + 2 + 39/9.
1/3
7 + (-6 - -5)*7
0
What is 6 - 244/56 - 3/2?
1/7
Evaluate (85/(-9) + 9)/(2/(-6)).
4/3
5*9/525 - (-2)/10
2/7
Evaluate 7 - (-3)/4*-4.
4
Evaluate (25/10 - 3)*0/(-2).
0
Evaluate (-4 + 5)*(0 - 1)*5.
-5
What is (-24)/(-35) + (-14)/49?
2/5
Evaluate 3/(-15*2/(-4)).
2/5
(5 - (-1243)/(-231))*3/(-2)
4/7
What is (-1*(-4)/(-30))/(40/(-180))?
3/5
What is 4/6*171/38?
3
Calculate -2 + 40/6 + -3 + -1.
2/3
(-2)/(14/7 - 3)
2
Calculate 4 + 1/((-10)/40).
0
What is the value of -1*(-23)/((-2277)/22)?
-2/9
What is the value of (1 - 2/6)/((-160)/(-180))?
3/4
What is the value of (8/320*30)/(2/8)?
3
Calculate 2/(-7) - (-69)/21.
3
What is (-98)/49 - (4 + 4/2)?
-8
8/5 + -2 - (-238)/70
3
Evaluate 3/18 - 2 - (-2)/(-3).
-5/2
Calculate ((-141)/658)/(2/(4/(-3))).
1/7
What is the value of (19/(-57))/((-1)/(-3))?
-1
What is the value of ((-24)/18)/(3 + -2)?
-4/3
What is the valu | {
"pile_set_name": "DM Mathematics"
} |
*6/160 - i**5/40 + 3*i**2. Factor b(c).
-3*c**2*(c + 1)*(c + 2)/4
Let i be 139/(-4) + 4 + -2. Let z = i - -33. Let -1/4 - 1/2*a - z*a**2 = 0. What is a?
-1
Solve -3/2*q - 3/4*q**2 - 1 - 1/8*q**3 = 0.
-2
Let p(v) be the second derivative of -v**8/448 + v**7/280 + v**6/160 - v**5/80 - v**2 - 2*v. Let k(l) be the first derivative of p(l). Factor k(g).
-3*g**2*(g - 1)**2*(g + 1)/4
Let v be (-522)/(-135) + 12/90. Determine m so that -5/2*m**3 + 1/2*m**v + 9/2*m**2 - 7/2*m + 1 = 0.
1, 2
Let y(f) = 6*f**2 - 4*f - 2. Let s(h) = -7*h**2 + 4*h + 3. Let w(i) = 4*s(i) + 5*y(i). Let j be w(2). Factor 0*k + 3/4*k**3 + 0 + 1/4*k**j.
k**2*(3*k + 1)/4
Let l(m) = -m**2 - 6*m + 3. Let g(j) be the first derivative of j**3/3 + j**2/2 - 2. Let s(v) = 2*g(v) + l(v). Factor s(b).
(b - 3)*(b - 1)
Determine i so that 1/2*i - i**5 + 0 - 3/2*i**3 - 5/2*i**4 + 1/2*i**2 = 0.
-1, 0, 1/2
Let i be (-2)/(-5)*((-192)/(-18) + -9). Let 0 - 2/3*k**2 + 2/3*k**3 - 2/3*k + i*k**4 = 0. Calculate k.
-1, 0, 1
Let b(v) be the second derivative of -1/8*v**4 + 1/4*v**3 + 2*v + 0*v**2 + 0. Solve b(z) = 0 for z.
0, 1
Let k(a) be the second derivative of 1/24*a**4 + 1/4*a**3 - 3/40*a**5 + 1/60*a**6 + 4*a + 0 - 1/2*a**2. Let k(f) = 0. Calculate f.
-1, 1, 2
Let f(s) be the first derivative of -5*s**3/18 - 5*s**2/6 + 5*s/2 + 14. Factor f(k).
-5*(k - 1)*(k + 3)/6
Let v(k) = 4*k**4 + 13*k**3 + 19*k**2. Let h(j) = -36*j**4 - 116*j**3 - 172*j**2. Let c(n) = -3*h(n) - 28*v(n). Find u, given that c(u) = 0.
-2, 0
Let s(r) = -18*r**3 + 49*r**2 - 9*r - 9. Let d(q) = 9*q**3 - 24*q**2 + 5*q + 4. Suppose 13 = -o - 0*o. Let h(g) = o*d(g) - 6*s(g). Solve h(m) = 0 for m.
1/3, 2/3, 1
Let z(i) be the third derivative of 0*i + 1/36*i**4 + 1/60*i**5 - i**2 + 0*i**3 - 1/72*i**6 + 0. Let z(l) = 0. What is l?
-2/5, 0, 1
Let b be (-25)/30 - 0 - -1. Let u(a) be the second derivative of -1/9*a**3 - 1/36*a**4 - b*a**2 + a + 0. Factor u(i).
-(i + 1)**2/3
Find f such that 20/11*f**2 + 20/11*f**3 + 2/11*f**5 + 10/11*f**4 + 10/11*f + 2/11 = 0.
-1
Suppose 8/3*w**2 + 0*w + 0 + 0*w**3 - 2/3*w**4 = 0. Calculate w.
-2, 0, 2
Let z(g) be the first derivative of g**5/12 - 2*g**4/9 + g**3/18 + g**2/3 + 3*g + 1. Let d(q) be the first derivative of z(q). Let d(y) = 0. What is y?
-2/5, 1
Let o(h) be the third derivative of -h**9/211680 - h**8/70560 - h**5/30 - 4*h**2. Let j(d) be the third derivative of o(d). Factor j(s).
-2*s**2*(s + 1)/7
Let w = 0 + 3. Solve 3*f**w - 4 - f**2 + 2 + f + 3 - 4*f**3 = 0.
-1, 1
Let g(d) be the second derivative of -d**4/16 - d**3/4 - 3*d**2/8 - 5*d. Let g(r) = 0. Calculate r.
-1
Suppose 4 = p, -3*z + 4*p - 24 = -7*z. What is r in -4*r**2 - 3*r**z + 2*r**4 + r**2 + 4*r**4 + 3*r**3 - 3*r = 0?
-1, -1/2, 0, 1
Let j(s) be the first derivative of 1/4*s**4 - s + 1/3*s**3 - 1/2*s**2 + 3. Factor j(f).
(f - 1)*(f + 1)**2
Let n = 93/19 - 6875/1653. Let j = n - 2/29. Let 0 - 1/3*h**3 - 1/3*h + j*h**2 = 0. Calculate h.
0, 1
Let g = -333 - -1673/5. Factor 16/5*k + g - 2*k**2.
-2*(k - 2)*(5*k + 2)/5
Suppose -711 = 3*c + 654. Let g = 3193/7 + c. Find i, given that -8/7*i**4 + 0 - 6/7*i**5 + 4/7*i**3 + 2/7*i + g*i**2 = 0.
-1, -1/3, 0, 1
Let r(q) be the third derivative of 1/2*q**5 + 4/3*q**3 - 7/6*q**4 + 0 + 0*q - 3/40*q**6 + 2*q**2. Factor r(l).
-(l - 2)*(3*l - 2)**2
Let h(s) be the second derivative of 3*s**5/80 + s**4/4 - 3*s**3/8 - 27*s**2/4 - 48*s. Factor h(v).
3*(v - 2)*(v + 3)**2/4
Let y(l) = -l**3 - 8*l**2. Let g be y(-8). Determine t, given that 8/7*t**5 + 0 - 2/7*t**4 + 0*t**3 + g*t + 0*t**2 = 0.
0, 1/4
Suppose 10*d - 10 = 8*d. Suppose d*m**3 + 2 - 3 + 3*m**2 - m - 4*m**4 + 3*m**4 + 3*m**4 = 0. Calculate m.
-1, 1/2
Let c(k) be the third derivative of k**9/80640 - k**8/8960 + k**7/2240 - k**6/960 + k**5/60 + 4*k**2. Let y(f) be the third derivative of c(f). Factor y(u).
3*(u - 1)**3/4
Let m be (-1 - 1)*(-8)/(72/21). Let -m*s**3 + 0 + 4/3*s + 10/3*s**2 = 0. What is s?
-2/7, 0, 1
Let f(a) be the first derivative of a**6/30 - a**4/10 + a**2/10 + 10. Let f(q) = 0. What is q?
-1, 0, 1
Let s be ((0 + -2)/(-2))/1. Let u = s + -1. Factor -8/7*m + 0 + 2/7*m**4 + u*m**2 + 6/7*m**3.
2*m*(m - 1)*(m + 2)**2/7
Solve 3/2*b**2 + 0*b + 0 + 3/4*b**3 = 0.
-2, 0
Suppose 0 = 3*a + 4*j + 20, 0*j = 2*a + 4*j + 20. Let u be (-4)/12 - 20/(-12). Factor u*x - 4/3*x**3 + 2/3*x**2 + a - 2/3*x**4.
-2*x*(x - 1)*(x + 1)*(x + 2)/3
Let a be 1*9/(-4 - -1). Let q be (-4)/(-3) - 2/a. Let -16/9*b**q + 4/3*b**3 - 4/3*b - 2/9 + 2*b**4 = 0. Calculate b.
-1, -1/3, 1
Let m(y) be the first derivative of y**5/120 + y**4/8 + 3*y**3/4 - y**2 - 3. Let q(n) be the second derivative of m(n). Factor q(v).
(v + 3)**2/2
Let r = -97781 - -2737465/28. Let k = r + 61/4. Factor -2/7*x**2 + k*x - 4/7.
-2*(x - 2)*(x - 1)/7
Let g(t) = -t**2 - t + 1. Let a(h) = h**4 + h**3 - 2*h**2 + 1. Let b(n) = a(n) + g(n). Factor b(f).
(f - 1)**2*(f + 1)*(f + 2)
Let c(y) be the first derivative of -y**3/3 + 7*y**2/2 + 8*y - 40. Suppose c(r) = 0. What is r?
-1, 8
Let z(n) be the first derivative of 1/11*n**4 + 0*n**3 + 0*n + 0*n**2 + 4 + 1/33*n**6 + 6/55*n**5. Factor z(s).
2*s**3*(s + 1)*(s + 2)/11
Suppose -5*w - 2*l - 2*l = 12, -4*w + l = -3. Let u be (-3)/(-9)*(w + 9). Factor -6*g**u + 5*g**3 - 2*g**3 + g**3 + 2*g.
-2*g*(g - 1)*(g + 1)
Let b be ((-12)/(-18))/(2/9). Find q such that 0*q**5 - 2*q**2 - 6*q**5 + 12*q**4 - b*q**3 - q**5 = 0.
-2/7, 0, 1
Let g(t) = -3*t - 12. Let x be g(-5). Let c(o) be the first derivative of 0*o + 1/24*o**6 - 1/10*o**5 - 1/8*o**2 + 0*o**4 + 1 + 1/6*o**x. Solve c(y) = 0 for y.
-1, 0, 1
Determine h so that -246*h**2 + 31*h**3 + 26*h**3 - 3*h**4 - 424*h + 6*h**2 + 124*h = 0.
-1, 0, 10
Suppose -2/3*o + 5/3*o**2 - 5/3*o**4 + 2/3*o**3 + 0 = 0. Calculate o.
-1, 0, 2/5, 1
Let z be 0 - 2/(8/(-4)). Suppose 3*b - 5 = z. Factor -2/5 + 3/5*w - 1/5*w**b.
-(w - 2)*(w - 1)/5
Suppose -5*b = -12 - 3. Let g(v) be the third derivative of 0*v + 1/210*v**5 - 2*v**2 + 1/420*v**6 + 0 - 1/84*v**4 - 1/21*v**b. Let g(j) = 0. What is j?
-1, 1
Let u(v) = v**3 - v. Let p(t) = -3*t**3 + 15*t**2 + 3*t - 15. Let b(d) = p(d) - 2*u(d). Solve b(x) = 0 for x.
-1, 1, 3
Let u(b) = -b**2 - 20*b + 22. Let h be u(-21). Let -8*f**5 + 2*f**2 - 49/2*f**3 + 11/2*f - h - 28*f**4 = 0. Calculate f.
-2, -1, 1/4
Let s(g) = -g**3 - 4*g**2 + 3. Let a(b) = -b**3 + b**2 - 1. Let l(t) = -3*a(t) - s(t). Solve l(o) = 0.
-1/4, 0
Let g(a) be the second derivative of a**4/24 - 9*a**2/4 + a - 8. Factor g(d).
(d - 3)*(d + 3)/2
Let -6/11*c + 2/11*c**3 - 4/11 + 0*c**2 = 0. What is c?
-1, 2
Factor -202 - 84*t**3 + 202 + 15*t - 25*t**2 - 15*t**4 + 29*t**3.
-5*t*(t + 1)*(t + 3)*(3*t - 1)
Let g(x) be the third derivative of -x**6/280 - 3*x**5/70 - 9*x**4/56 + 6*x**2. Suppose g(r) = 0. Calculate r.
-3, 0
Factor 5*u**2 + 10*u**2 + 3*u**3 - 24*u**2.
3*u**2*(u - 3)
Let g(v) be the third derivative of 2*v**2 - 1/735*v**7 + 0*v**6 + 0*v + 0*v**4 + 0 + 1/105*v**5 - 1/21*v**3. Suppose g(k) = 0. Calculate k.
-1, 1
Let b = 0 - -3. Suppose -4*u + b*u - 4*c - 16 = 0, 3*c + 12 = 3*u. Let -2/9*j**5 + 4/9*j**4 - 2/9*j**3 + 0*j**2 + 0*j + u = 0. Calculate j.
0, 1
Solve -2/5*p**2 - 6/5 - 8/5*p = 0 for p.
-3, -1
Let m = -1113/5 + 223. Suppose -2/5*t**3 - 2/5*t**2 + m*t + 2/5 = 0. Calculate t.
-1, 1
Let o(j) be the second derivative of j**5/5 + 4*j**4/3 + 10*j**3/3 + 4*j**2 - 6*j. Find b such that o(b) = 0.
-2, -1
Suppose x - 3*x - 8 = 0. Let r = -2 - x. Determine b, given that 4*b**2 + 0 + r + 7*b - 2*b + b = 0.
-1, -1/2
Find h, given that -10*h**2 + 11*h**2 - 9*h**2 - 36*h - 4*h**2 + 4*h**3 - 20 = 0.
-1, 5
What is i in -38/9*i**2 + 14/9*i**3 + 8/9 + 16/9*i = 0?
-2/7, 1, 2
Let n(f) be the first derivative of f**7/1470 + f**6/2520 - f**5/210 - f**4/168 + 2*f**3 - 3. Let d(i) be the third derivative of n(i). Factor d(o).
(o - 1)*(o + 1)*(4*o + 1)/7
Let b(o) be the second derivative of o**4/6 + 5*o**3/12 + o**2/4 - 5*o. Factor b(u).
(u + 1)*(4*u + 1)/2
Let m be (-4)/14 + 34/21. Let k be 1*9 - (0 - -3). What is b in -8*b**2 + k*b - m + 10/3*b**3 = 0?
2/5, 1
Let h be (2/5)/((-52)/(-20) - 1). Factor 1/2*w + 0 + h*w**2.
w*(w + 2)/4
Let f be 8*1/(6/3). Let l(v) be the second derivative of 1/7*v**2 + 1/42*v**f + 0 - 2/21*v**3 - v. Factor l(c).
2*(c - 1)**2/7
Let 427*a**2 - 24*a + 34*a**3 - 10*a**5 + 6*a**4 - 8 + 0*a**3 - 425*a**2 = 0. What is a? | {
"pile_set_name": "DM Mathematics"
} |
- 16*sqrt(7)
Simplify (4*(-6*(sqrt(1584) + 3 + sqrt(1584))*4 + (4 + sqrt(1584))*-3 + 2 + -1))**2.
1625472*sqrt(11) + 66029968
Simplify (6*3*sqrt(175)*-1)**2 + (-4*(sqrt(112) - (sqrt(112) + 1*sqrt(112))) + sqrt(112) + 2)**2.
80*sqrt(7) + 59504
Simplify -6*(((sqrt(363) + 2*sqrt(363) + -4)*-1)**2 + (0 + 0 + sqrt(363) + -3)**2 + 2).
-21942 + 1980*sqrt(3)
Simplify -3*1*6*-2*sqrt(11) - (-4 + (sqrt(11)*5 + sqrt(11))**2 + -3 + sqrt(1100)).
-389 + 26*sqrt(11)
Simplify ((3 + 0 + -6*(sqrt(1539) + -2)*5)*5)**2*-5.
-173633625 + 4252500*sqrt(19)
Simplify (sqrt(288) + 1*((sqrt(288)*-3 - sqrt(288)) + sqrt(288)))/((sqrt(6) - sqrt(96))*-2*-1).
4*sqrt(3)/3
Simplify 1*(sqrt(99) + (sqrt(99) - 4*(sqrt(99) + 1)) - (sqrt(99) + 0)*-4)**2 + (3*sqrt(99))**2*-5 + 5*(sqrt(99) + 0) + 0.
-4043 - 33*sqrt(11)
Simplify (-1 + (sqrt(300) - sqrt(300)*2) + 0 + sqrt(300)*-1*6)**2 + 3*(0 + 1*sqrt(27) + sqrt(27) + -2)**2.
68*sqrt(3) + 15037
Simplify (sqrt(8640)/sqrt(4))/(sqrt(60)/sqrt(3))*2 + 2.
2 + 12*sqrt(3)
Simplify 5 + 6*((sqrt(50)/(sqrt(20)/sqrt(4)*2))/(sqrt(200) + sqrt(200) + sqrt(200)*-2*2))**2.
803/160
Simplify -2*(((((sqrt(99) - (sqrt(99)*-2 + sqrt(99)) - sqrt(99)) + sqrt(99))*-6)/(3*sqrt(3)*-2))/((sqrt(42)/(1*sqrt(7)))/(sqrt(288)*-2)))**2.
-50688
Simplify (((sqrt(4752) + sqrt(4752)*-2 - sqrt(4752))*-1*-6)/(3*(sqrt(147) - ((-5*(sqrt(147)*-1 + sqrt(147)) - sqrt(147)) + sqrt(147)))))**2.
25344/49
Simplify (4*(-4*sqrt(1134) + sqrt(1134) + sqrt(1134)))/(sqrt(28)/(sqrt(256)*4 + sqrt(256)))*-2.
5760*sqrt(2)
Simplify 1 + (2 + sqrt(700))**2 + (sqrt(700) - (sqrt(700) + sqrt(700)*3)**2*1) - (-3*(0 + sqrt(448)) - sqrt(84)/(sqrt(768) - sqrt(768)*-2)).
-10495 + 1777*sqrt(7)/24
Simplify (((sqrt(50)*-1)/sqrt(5))/(sqrt(405) + 2*sqrt(405)) - (-1 + (sqrt(4) - sqrt(100))/sqrt(2) + -4))**2.
1070*sqrt(2)/27 + 41123/729
Simplify 1 + (((-1*sqrt(384))/sqrt(8) + sqrt(48))/(-5*(sqrt(24) + sqrt(216))))**2.
1
Simplify -5*((-4*(sqrt(50) - (-1 + sqrt(150)/sqrt(3))))**2 + (1 + sqrt(50) + 0 + sqrt(200)/sqrt(4))**2).
-1085 - 100*sqrt(2)
Simplify ((2*sqrt(300)*1*5)/(-4*sqrt(18)/sqrt(3) + sqrt(6) + -6*sqrt(18)/sqrt(3)) + -3 + -1)**2.
400*sqrt(2)/9 + 6296/81
Simplify (5 + (sqrt(612) - ((sqrt(612) - sqrt(612)*-2)*6 - sqrt(612))) + -5 + (sqrt(17)*4*-2 - (sqrt(17) + sqrt(1700)*-2)))**2.
122825
Simplify (-2 + (sqrt(128) - (sqrt(128) - ((sqrt(128) + 1)*5 - sqrt(128))))*5 + -3*sqrt(128)*-3 + 3)**2.
12064*sqrt(2) + 108324
Simplify ((-1*sqrt(800) + ((sqrt(400)*-2)/sqrt(8) - sqrt(50)))*3)/(6*(sqrt(810) - (sqrt(810) + sqrt(810) + -2*sqrt(810)))*-1).
7*sqrt(5)/18
Simplify ((3 + sqrt(1300))*-6 + 3 - (3 + (sqrt(1300) + 3 - sqrt(1300)) + 5))**2.
3120*sqrt(13) + 47476
Simplify ((-3*(sqrt(243) - (sqrt(243) - sqrt(243)*-1)) + 0 + 1*(sqrt(243) + 2)*-5)*1 + 5)**2.
180*sqrt(3) + 997
Simplify ((-1*sqrt(3159) + sqrt(3159) + sqrt(3159))/(-1*sqrt(9)/sqrt(3)) + -3 - (-6*-1*sqrt(130))/(sqrt(50)/(sqrt(5)*-2))*2)**2.
-90*sqrt(13) + 2934
Simplify 4*(((6*(sqrt(90) + sqrt(90)*-1))/sqrt(2))/(sqrt(144) - (sqrt(144) - sqrt(144)*1*3 - sqrt(144))))**2.
0
Simplify (0 + sqrt(128) + -1 + 3 + sqrt(128) + (-3 + sqrt(2)*-2 - (sqrt(2) - sqrt(14)/(sqrt(77)/sqrt(11)))))**2.
-28*sqrt(2) + 393
Simplify -2 + (((3 + sqrt(325) + sqrt(325))*2 - sqrt(325) - sqrt(325))*-5 + sqrt(325) + 1 + -5 + (sqrt(325) + sqrt(325) + -1 + sqrt(325))*6)**2.
-3600*sqrt(13) + 27923
Simplify (sqrt(175) - (sqrt(175) - sqrt(175)*1)**2)*1*1*5 + (sqrt(1029)*3)/(sqrt(300)*-3).
243*sqrt(7)/10
Simplify ((sqrt(240)/(sqrt(8)*2))/((sqrt(275)/sqrt(5))/sqrt(11)))/(sqrt(3) + sqrt(108)*4 - 2*sqrt(24)/sqrt(8)).
sqrt(2)/46
Simplify (sqrt(20)/(sqrt(60)/sqrt(6))*-2 + -4 + (-4*(sqrt(2) + sqrt(2)*5) - sqrt(128)*2))**2.
336*sqrt(2) + 3544
Simplify -3*((-1*(sqrt(425)*1 - sqrt(425)) + sqrt(425) - ((sqrt(425) + 0)**2*-3 - sqrt(425))) + -3)*6.
-22896 - 180*sqrt(17)
Simplify (-2*(4 + -1*((-3*sqrt(847)*4 - sqrt(847)) + sqrt(847) + -2 + sqrt(847) + 0 + sqrt(847))))**2.
5280*sqrt(7) + 338944
Simplify (1 + -5 + -1 + sqrt(147) + -2)**2 + (sqrt(75) - 1*2*sqrt(75) - (3 + sqrt(75) + -3))**2.
-98*sqrt(3) + 496
Simplify -1*((sqrt(17) - (sqrt(1088) + sqrt(17)))*-2 + ((sqrt(17) + 0)*-2)**2) - (sqrt(136)*3 + sqrt(136))/(sqrt(16)/sqrt(8)*-3).
-68 - 40*sqrt(17)/3
Simplify (-4 + 1*((3*(sqrt(304) - (5 + sqrt(304))))**2 + (4 + sqrt(304))*-4 + sqrt(304))*-1)*-4.
-48*sqrt(19) + 852
Simplify -5*(4*(1 + (-3*sqrt(66))/sqrt(6)) - (2 + sqrt(66)/sqrt(6) - (sqrt(11) - (sqrt(11) - -5*sqrt(55)/sqrt(5)) - sqrt(11))**2)).
-1990 + 65*sqrt(11)
Simplify (sqrt(102) + -4*(sqrt(102)*-3 - sqrt(102)) + 1*-4*sqrt(102))/(sqrt(2304)/sqrt(6) + (sqrt(6) - sqrt(6)*2*-6)).
13*sqrt(17)/21
Simplify (((sqrt(2736) + -1*sqrt(2736) + 5)*4 + -4)*4*-6)**2 + 5.
147461
Simplify -2 + (sqrt(114) + (sqrt(114) - -2*-2*sqrt(114)) + (sqrt(114) - (2*sqrt(114)*-1 + sqrt(114))) + sqrt(114) + sqrt(114))/(sqrt(486)*-2*-4) + 3.
sqrt(19)/36 + 1
Simplify (-3 + (-5*(sqrt(80) + 0 - sqrt(80))*3*-3 + 2)*-6)**2.
225
Simplify (-1*(((sqrt(76) + sqrt(76)*-3*2)*1 - (sqrt(76) - (-2 + sqrt(76) + 1) - 3*(sqrt(76) - (sqrt(76) + (1 + sqrt(76) - sqrt(76)))))) + -4))**2.
160*sqrt(19) + 1964
Simplify (-2*sqrt(5500)*6 + (-4*sqrt(5500)*-2 - sqrt(5500)))/((2*sqrt(360))/(5*sqrt(8))).
-125*sqrt(11)/3
Simplify 3 + sqrt(162) + 4 + sqrt(162) + -4 - ((sqrt(20) + 2*sqrt(80)/sqrt(4))/(sqrt(10)*-1*3))**2.
1 + 18*sqrt(2)
Simplify (5*(1 + ((sqrt(72) - (sqrt(72)*1 + sqrt(72)))/sqrt(2))/(sqrt(12) + 2*sqrt(48)/sqrt(4))))**2*-3.
-100 + 50*sqrt(3)
Simplify (6*-1*-6*2*sqrt(170))/(((2*sqrt(270))/sqrt(9))/(-6*sqrt(27))).
-648*sqrt(17)
Simplify -5*5*(2 + (1 + sqrt(76) + -1)*-1)**2.
-2000 + 200*sqrt(19)
Simplify (3*(-4 + sqrt(153)/sqrt(81) + (5 + sqrt(153))*-5 + -1))**2.
7920*sqrt(17) + 41012
Simplify -4 + (1*(sqrt(76)*3 + sqrt(76)) + sqrt(76) + -3*(1*sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76))/(4*6*(-1*sqrt(484) + sqrt(484) - sqrt(484))).
-4 - sqrt(19)/66
Simplify sqrt(363) + -5 + (sqrt(363)*-1)**2 + 2*sqrt(363) + 4 + 0 + (sqrt(45)/sqrt(5) - sqrt(9))/sqrt(3)*5.
33*sqrt(3) + 362
Simplify (sqrt(26)/(sqrt(2) + sqrt(4)/sqrt(2)) + ((sqrt(195)/sqrt(5))/sqrt(3) - sqrt(13)) - (sqrt(91) + -5*-2*sqrt(91))/sqrt(7))*-4 + -2.
-2 + 42*sqrt(13)
Simplify (-4*sqrt(102)*4 - (sqrt(102) - -5*(sqrt(102)*1 + sqrt(102) - sqrt(102))))/(((sqrt(324) + sqrt(36))*3)/((sqrt(54)/sqrt(3))/sqrt(3) + sqrt(6))).
-11*sqrt(17)/3
Simplify (((sqrt(1088) + -2*sqrt(1088))*1 - sqrt(1088) - 6*(sqrt(1088) + sqrt(1088) + 0))*-3)**2 + 3 + (4*sqrt(1088)*-3 + 1)**2.
-192*sqrt(17) + 2075908
Simplify 5*(1 + (sqrt(2156)/sqrt(4) + (sqrt(11) - (sqrt(1331) + 2)**2) - (-3 + sqrt(1331) - (-5 + sqrt(44))))).
-6680 - 225*sqrt(11)
Simplify 6*(5 + ((sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200)*-2 + sqrt(200) + sqrt(200)) - sqrt(200)))*-6)/(-1*sqrt(160) - sqrt(160)) + 5) + -2.
18*sqrt(5) + 58
Simplify ((sqrt(1331) + -4)*-2 - (sqrt(1331) - (2 + sqrt(1331) + 4 + sqrt(1331))))**2 - (-1 + (3*(sqrt(1331) + -5))**2 + 4).
-10680 + 682*sqrt(11)
Simplify (1*((sqrt(396) - (5*-2*sqrt(396) - sqrt(396) - sqrt(396))) + 3 + 3) + 1)**2.
1092*sqrt(11) + 66973
Simplify (5*sqrt(308)/(5*sqrt(14)/sqrt(2)))/((-1*sqrt(36)*-3)/sqrt(9)*-6).
-sqrt(11)/18
Simplify ((-5*(0 + sqrt(500)) - sqrt(500))**2 - (-1 + (sqrt(5) + sqrt(20) + 5)**2)) + sqrt(180)*2*2 + 0 + sqrt(125)*-1.
-11*sqrt(5) + 17931
Simplify (5 + (sqrt(300) + 0 + -3 + sqrt(300))**2*6)*3*3 + 1.
-6480*sqrt(3) + 65332
Simplify ((-1 + sqrt(242) + 0)**2 - (sqrt(242) + ((-2 + sqrt(242))*4)**2) - ((-3 + sqrt(2450))*1 - sqrt(2450))**2)*-1.
-671*sqrt(2) + 3702
Simplify (((sqrt(1452) + (sqrt(1452) - (-2*sqrt(1452) + sqrt(1452)))*2)*-4)/((3*sqrt(180)/sqrt(5))/((sqrt(72)/sqrt(4))/sqrt(2))))**2.
48400/3
Simplify (((2*sqrt(76) - sqrt(76))*5)/((sqrt(160)/sqrt(4))/sqrt(10)) + (sqrt(2736) - (2 + -1 + sqrt(2736)))*-4*2)**2.
80*sqrt(19) + 539
Simplify 5 + (-4*(5 + (sqrt(125)*1)**2) - (sqrt(5)*3 + 4 + (-5 + -3 + sqrt(5))**2)).
-588 + 13*sqrt(5)
Simplify -1*(sqrt(5) - (-3 + (sqrt(20)/sqrt(4) - sqrt(5)) + sqrt(5))**2 - 6*sqrt(320) - sqrt(5)*1*6*2*-2).
14 + 17*sqrt(5)
Simplify (4*(-5*sqrt(153)*3 + sqrt(153) + sqrt(153)))/((sqrt(63) - 3*(sqrt(504)/sqrt(8) + sqrt(63)))/sqrt(7))*3*3.
468*sqrt(17)/5
Simplify ((sqrt(153) - (sqrt(153) + (-2*sqrt(153)*-2 - sqrt(153)))) + sqrt(153)*-1*1)/(sqrt(99)/(sqrt(11) - (sqrt(539) + sqrt(11) - sqrt(11)))*5).
24 | {
"pile_set_name": "DM Mathematics"
} |
1/3, to the nearest integer?
96
What is 497987 to the power of 1/9, to the nearest integer?
4
What is the square root of 59726 to the nearest integer?
244
What is 352730 to the power of 1/2, to the nearest integer?
594
What is the cube root of 499752 to the nearest integer?
79
What is the third root of 8315156 to the nearest integer?
203
What is 23672387 to the power of 1/2, to the nearest integer?
4865
What is the cube root of 66912 to the nearest integer?
41
What is the third root of 2130346 to the nearest integer?
129
What is the cube root of 1519087 to the nearest integer?
115
What is 3030547 to the power of 1/4, to the nearest integer?
42
What is the square root of 136160 to the nearest integer?
369
What is the cube root of 649717 to the nearest integer?
87
What is the cube root of 109322 to the nearest integer?
48
What is the square root of 11084250 to the nearest integer?
3329
What is 193137 to the power of 1/10, to the nearest integer?
3
What is the square root of 277165 to the nearest integer?
526
What is the cube root of 911148 to the nearest integer?
97
What is 212959 to the power of 1/5, to the nearest integer?
12
What is the square root of 3473100 to the nearest integer?
1864
What is the square root of 998667 to the nearest integer?
999
What is the third root of 381172 to the nearest integer?
73
What is the third root of 210227 to the nearest integer?
59
What is 1467499 to the power of 1/2, to the nearest integer?
1211
What is 359398 to the power of 1/7, to the nearest integer?
6
What is 135100 to the power of 1/3, to the nearest integer?
51
What is 4902737 to the power of 1/4, to the nearest integer?
47
What is 5147812 to the power of 1/8, to the nearest integer?
7
What is 830445 to the power of 1/7, to the nearest integer?
7
What is the cube root of 940666 to the nearest integer?
98
What is 2115227 to the power of 1/2, to the nearest integer?
1454
What is the third root of 96025 to the nearest integer?
46
What is the cube root of 98233 to the nearest integer?
46
What is the third root of 28970 to the nearest integer?
31
What is the sixth root of 837163 to the nearest integer?
10
What is the third root of 7247821 to the nearest integer?
194
What is the third root of 541782 to the nearest integer?
82
What is 4571031 to the power of 1/10, to the nearest integer?
5
What is 146521 to the power of 1/2, to the nearest integer?
383
What is 10087823 to the power of 1/2, to the nearest integer?
3176
What is 1056708 to the power of 1/5, to the nearest integer?
16
What is the sixth root of 3091662 to the nearest integer?
12
What is 1192854 to the power of 1/3, to the nearest integer?
106
What is the fourth root of 5616683 to the nearest integer?
49
What is 2224032 to the power of 1/2, to the nearest integer?
1491
What is the square root of 3407712 to the nearest integer?
1846
What is the square root of 152627 to the nearest integer?
391
What is 1912231 to the power of 1/3, to the nearest integer?
124
What is 104131 to the power of 1/3, to the nearest integer?
47
What is 127720 to the power of 1/9, to the nearest integer?
4
What is 7768869 to the power of 1/6, to the nearest integer?
14
What is 54542 to the power of 1/3, to the nearest integer?
38
What is the square root of 293140 to the nearest integer?
541
What is the cube root of 693594 to the nearest integer?
89
What is 5045463 to the power of 1/2, to the nearest integer?
2246
What is the third root of 5198285 to the nearest integer?
173
What is the square root of 1265837 to the nearest integer?
1125
What is the cube root of 6221490 to the nearest integer?
184
What is the third root of 14594620 to the nearest integer?
244
What is 54496 to the power of 1/2, to the nearest integer?
233
What is 554994 to the power of 1/3, to the nearest integer?
82
What is 721010 to the power of 1/3, to the nearest integer?
90
What is 8514971 to the power of 1/7, to the nearest integer?
10
What is the cube root of 2772644 to the nearest integer?
140
What is 38937065 to the power of 1/3, to the nearest integer?
339
What is 142834 to the power of 1/10, to the nearest integer?
3
What is 106655 to the power of 1/2, to the nearest integer?
327
What is 11418939 to the power of 1/3, to the nearest integer?
225
What is 8376267 to the power of 1/2, to the nearest integer?
2894
What is the seventh root of 130739 to the nearest integer?
5
What is 1134769 to the power of 1/2, to the nearest integer?
1065
What is the square root of 139498 to the nearest integer?
373
What is 2101385 to the power of 1/2, to the nearest integer?
1450
What is 152443 to the power of 1/2, to the nearest integer?
390
What is 12685873 to the power of 1/2, to the nearest integer?
3562
What is the square root of 90946 to the nearest integer?
302
What is 214118 to the power of 1/2, to the nearest integer?
463
What is the cube root of 22057752 to the nearest integer?
280
What is the third root of 2848644 to the nearest integer?
142
What is 214443 to the power of 1/2, to the nearest integer?
463
What is 607278 to the power of 1/2, to the nearest integer?
779
What is the square root of 726259 to the nearest integer?
852
What is 344818 to the power of 1/4, to the nearest integer?
24
What is the seventh root of 386626 to the nearest integer?
6
What is the ninth root of 6952155 to the nearest integer?
6
What is the square root of 3436843 to the nearest integer?
1854
What is 515038 to the power of 1/3, to the nearest integer?
80
What is the square root of 18056015 to the nearest integer?
4249
What is the eighth root of 180350 to the nearest integer?
5
What is the cube root of 20431165 to the nearest integer?
273
What is 212321 to the power of 1/2, to the nearest integer?
461
What is the seventh root of 3247922 to the nearest integer?
9
What is 896781 to the power of 1/8, to the nearest integer?
6
What is 4737307 to the power of 1/3, to the nearest integer?
168
What is the square root of 14332571 to the nearest integer?
3786
What is the tenth root of 2160398 to the nearest integer?
4
What is the fourth root of 5301449 to the nearest integer?
48
What is the cube root of 206515 to the nearest integer?
59
What is the cube root of 4068854 to the nearest integer?
160
What is the third root of 7345746 to the nearest integer?
194
What is 61142 to the power of 1/3, to the nearest integer?
39
What is 364937 to the power of 1/9, to the nearest integer?
4
What is the sixth root of 559405 to the nearest integer?
9
What is 9480615 to the power of 1/5, to the nearest integer?
25
What is 2907710 to the power of 1/2, to the nearest integer?
1705
What is the cube root of 432818 to the nearest integer?
76
What is 2405562 to the power of 1/8, to the nearest integer?
6
What is 8259582 to the power of 1/10, to the nearest integer?
5
What is the cube root of 1376630 to the nearest integer?
111
What is 16654673 to the power of 1/3, to the nearest integer?
255
What is the eighth root of 423477 to the nearest integer?
5
What is the cube root of 1956869 to the nearest integer?
125
What is the third root of 5598039 to the nearest integer?
178
What is the fourth root of 11260622 to the nearest integer?
58
What is the square root of 82183 to the nearest integer?
287
What is 982 to the power of 1/8, to the nearest integer?
2
What is the cube root of 1738755 to the nearest integer?
120
What is 3627286 to the power of 1/3, to the nearest integer?
154
What is the tenth root of 14918858 to the nearest integer?
5
What is the sixth root of 997972 to the nearest integer?
10
What is 92036 to the power of 1/7, to the nearest integer?
5
What is the square root of 5265183 to the nearest integer?
2295
What is the cube root of 175780 to the nearest integer?
56
What is the third root of 2440366 to the nearest integer?
135
What is 1523907 to the power of 1/3, to the nearest integer?
115
What is 9696861 to the power of 1/2, to the nearest integer?
3114
What is the cube root of 21851 to the nearest integer?
28
What is the ninth root of 87952 to the nearest integer?
4
What is the square root of 241700 to the nearest integer?
492
What is the square root of 5481983 to the nearest integer?
2341
What is the square root of 12227165 to the nearest integer?
3497
What is the third root of 12618357 to the | {
"pile_set_name": "DM Mathematics"
} |
-2)/6609) a composite number?
False
Suppose -3*x = 110 - 116. Is 26631/15 + x + 2/(-5) composite?
False
Let m = -11 + 8. Let t = -1 - m. Suppose 2*k = 5*j + 5, 3*k - t*k = 5*j - 5. Is k prime?
False
Let k(u) = u**2 - 9*u + 49. Let i(a) = 15*a**2 - 2*a - 2. Let w be i(-1). Is k(w) a prime number?
True
Suppose -5*c + 1149 = 4*b, 0 = b - 4 + 3. Let h = c - -325. Is h a prime number?
False
Let v(i) = 23*i**2 - 9*i - 4. Let s(u) = 47*u**2 - 17*u - 9. Let q(o) = 6*s(o) - 11*v(o). Is q(-4) composite?
True
Suppose 0 = 3*a + u - 13119 - 6443, 5*u + 13047 = 2*a. Is a prime?
True
Suppose 18*i = 7*i + 71291. Is i prime?
True
Suppose 24 = 8*y + 8. Suppose 4*c - 1924 = y*q, c - 1908 = -3*c - 2*q. Is c composite?
False
Let n(q) = 53*q. Let v be n(1). Suppose 25*x + 90 = 10*x. Let c = v - x. Is c a composite number?
False
Let p = -134 - -196. Suppose 0*h = -h + p. Is h composite?
True
Suppose -2*t + 2082 = -2*r - 1982, -3*t = r + 2044. Let u = r - -3308. Is u a composite number?
True
Suppose 0 = -5*j + 3767 - 902. Is j a composite number?
True
Suppose 60*n = 58*n + 794. Suppose n - 4855 = -6*y. Is y prime?
True
Suppose 0 = -4*d - 2*d - 90. Is 2/(-10) + (-4668)/d prime?
True
Let v(a) = 5*a. Let f be v(-3). Let c be ((-5)/f)/((-2)/102). Let k(p) = -6*p - 5. Is k(c) a prime number?
True
Let a(x) = x**3 - 3*x**2 + 3*x - 1. Let t be a(3). Let j = -3 + t. Suppose j*p - 30 = 45. Is p a prime number?
False
Let u(r) be the third derivative of -149*r**4/24 - 4*r**3/3 + 29*r**2. Is u(-3) prime?
True
Let h be (6*8/(-12) - -1) + 231. Let i be (-11140)/(-25) + 4/10. Suppose -f = -d - h, f - 4*d - i = -f. Is f prime?
True
Let o = 172 - 104. Suppose 0 = -29*t + 23*t - 6. Let a = t + o. Is a prime?
True
Let b = -36 + 21. Let m be (-2)/(-3) + 32/(-3). Is 115/3 + m/b a composite number?
True
Let t(j) be the third derivative of 0 - 1/6*j**3 + 0*j**5 + 0*j**4 + 0*j + 5*j**2 + 7/30*j**6. Is t(2) a prime number?
True
Suppose -n = 26 + 9. Let k = n + 55. Let x = 45 - k. Is x prime?
False
Let x = 70 - 82. Let i = x - -67. Is i a composite number?
True
Suppose 3497 + 15147 = 4*h. Is h composite?
True
Let z = -67 + 38. Let p = z + 30. Is 1*p/((-4)/(-628)) prime?
True
Suppose s + 5 = 5*q - 7, 4 = 2*q. Is (-3 - s)*3 - -130 a composite number?
False
Let j = -15 + 18. Let k be (-9 + (6 - j))/(-1). Is (-242)/(-4) - k/4 a prime number?
True
Let i(j) = j**3 - j**2. Let l be i(3). Suppose l*p = 13*p + 360. Let q = 221 - p. Is q composite?
False
Suppose 17*c - b = 22*c - 50421, -40328 = -4*c - 3*b. Is c composite?
True
Suppose -14*y + 4*y = -150. Let f(u) be the first derivative of -u**4/4 + 17*u**3/3 - 21*u**2/2 + 14*u - 1. Is f(y) prime?
True
Is 24*211 + 10/2 a prime number?
False
Let q(m) = 1247*m - 127. Is q(4) a composite number?
False
Suppose 3*o - 4*j = -0*o - 811, -3*o + 3*j = 816. Let u = o + 438. Is u a composite number?
True
Suppose 6569 = 24*y - 13375. Is y composite?
True
Let w = -338 + 873. Let o = 792 + w. Is o a composite number?
False
Let j(v) be the first derivative of 29*v**3/3 - v**2 - 2*v - 3. Suppose -2*d - 12 = -5*d + t, 3*d = 4*t + 21. Is j(d) prime?
False
Let c(d) = -68*d - 1. Let h = 0 - 2. Let x = h + 1. Is c(x) prime?
True
Is (18/14 - 1) + 143875/35 prime?
True
Let k(p) = 5*p**2 + p + 5. Let r = 11 + 1. Let s be 1/(-4 - (-51)/r). Is k(s) a prime number?
True
Let o = 336 - -1867. Is o prime?
True
Is 1/((-1)/2)*446629/(-58) a prime number?
True
Suppose 9*n = -104 - 6826. Let k = n + 1635. Is k prime?
False
Suppose a = -r + 1270 + 4956, a + 3*r - 6220 = 0. Is a a composite number?
False
Suppose 20*w = 9740 - 760. Is w composite?
False
Let q be 4 + 4/4 + -3. Is (10 - 9)/(q/398) a prime number?
True
Let g(t) = t**2 - 3*t - 3. Let u be (-25)/(-3) + 10/(-30). Is g(u) composite?
False
Let p(u) = u**2 - 7*u + 6. Let w be p(7). Suppose -3*q - 15 = -w*q. Let a = 126 - q. Is a prime?
False
Is 4/(-6) + 0 + (-1652275)/(-87) a prime number?
False
Let n(t) = 373*t**2 + 386*t - 7. Is n(-8) prime?
False
Let h(l) = -9793*l**3 + l + 1. Let p be h(-1). Is (-22)/11 - -1*p a composite number?
False
Suppose -3*q + 2*x = -11337, -3*q = 4*x - 10054 - 1283. Is q prime?
True
Let x(z) = -z**2 + 13*z + 6. Let g be x(13). Suppose -3*l - 2620 = -5*w, -l = -w - g*l + 496. Is w composite?
False
Let s(c) = 4*c**2 - 4*c - 35. Let p(v) = -v**2 - v + 1. Let j be p(-4). Is s(j) a prime number?
False
Let z(d) = -2*d**3 + 4*d**2 + 45*d - 15. Is z(-6) a prime number?
False
Let j(d) = -2*d - 30. Let z be j(-12). Is z/(120/(-8972)) + 4/10 a composite number?
False
Let w = -35 - -38. Is ((-15)/6 + w)*3106 prime?
True
Suppose -2*x + 2 = 4*u - 10, -10 = 2*u - 3*x. Let d(c) = 292*c**3 + 2*c**2 - 3*c + 2. Is d(u) a composite number?
False
Suppose 331432 = 73*x - 5*x. Is x composite?
True
Let d be -3 + 8 + -3 - 10. Let v be (-2250)/d - (-1)/(-4). Suppose 2*p - v = -5*o - 2, 2*p = -o + 59. Is o a prime number?
False
Suppose 0 = -3*m + 3*d + 192 + 132, 4*d = m - 117. Let p = -16 - 36. Let k = m + p. Is k prime?
True
Suppose -5*h - 3*s + 2*s = -523, s + 101 = h. Let y(j) = j + 7. Let q be y(-4). Suppose q*o - 1091 = -h. Is o prime?
False
Suppose -3*s = s - 8. Suppose 0 = -7*l + s*l + 15. Suppose l*x = -103 + 496. Is x composite?
False
Is (3790*(0 + 6/12))/1 a prime number?
False
Suppose 5*q - 14 = -9. Let t be q/(-4 - 4214/(-1054)). Let n = -326 - t. Is n a composite number?
True
Suppose -4*w + 24808 = 4*n - 0*n, -2*n - 5*w + 12419 = 0. Is n a composite number?
False
Let x(s) = -264*s + 59. Is x(-13) a composite number?
False
Suppose -23 = -4*g - 0*g + 3*u, 0 = g + 3*u - 2. Suppose 10835 = g*i - 2400. Is i prime?
True
Let a = -32 + 35. Suppose 0 = -a*b - 2*m + 756 + 911, -2*b + 1124 = -5*m. Is b prime?
True
Let b(c) = -21*c**3 - c**2 + 1. Let n be b(1). Let k = -28 + n. Let z = -27 - k. Is z a prime number?
False
Is 1428828/60 + (-16)/(-20)*-1 a composite number?
False
Suppose -7*z + 65276 + 489 = 0. Is z a composite number?
True
Suppose 4*r - 3*r = 4. Suppose -r*p - 4*y = -756, y = 5*p - 2*y - 961. Is (6 + -4)/(2/p) composite?
False
Let g = 7171 + -10299. Let p = 4489 + g. Is p prime?
True
Let q = -4 + 5. Suppose -4*o + 4*a - 3 - q = 0, 2*a - 20 = -4*o. Suppose o*z + 598 = 2*g + z, 4*g = -5*z + 1160. Is g a prime number?
False
Is (-82)/4*(-3)/(6/44) a composite number?
True
Suppose 168*v - 173*v = -14705. Is v composite?
True
Let d(h) = -3*h**3 + 2*h**2 + 4*h + 2. Let r(c) = -3*c**3 + c + 5*c**3 - 3*c**3. Let x(z) = d(z) + r(z). Is x(-3) a prime number?
True
Is 1/((25/(-23095))/(-5)) composite?
True
Is (1 - 2)/((-14)/121254) a composite number?
True
Let z = -8716 + 12315. Is z a prime number?
False
Let q be (-3)/(1 - 144/145). Suppose 5*x - 4040 = -0*x. Let s = x + q. Is s composite?
False
Let l(g) = g**2 - 6*g + 6. Let x be l(-5). Let p = x + 238. Suppose -4*z = -17 - p. Is z a composite number?
False
Suppose -9 = 3*n, 0 = 2*f - 4*n - 938 - 1376. Is f composite?
False
Let c(s) = 90*s - 43. Let m(o) = -o**2 + 9*o - 1. Let v be m(8). Is c(v) composite?
False
Let x = -17 - -17. Let v be -1 - 0 - (0 + x). Let p(k) = -161*k**3 + k**2 + 2*k + 1. Is p(v) composite?
True
Let f = -282 - -406. Let l = f - -154. Suppose -20 - l = -z. Is z composite?
True
Let b(u) = 5*u**2 + 0*u**2 + 11*u + 3 - 3*u + 0*u**2. Let a(x) = -6*x**2 - 8*x - 3. Let t(c) = 4*a(c) + 5*b(c). Is t(6) a prime number?
False
Suppose 5*k = g + 2*k + 213, -1150 = 5*g + 2*k. Suppose -6*z = -2062 - 272. Let p = g + z. Is p a composite number?
True
Suppose n - 3*b = 5984, 10*n = 13*n + 2*b - 17941. Is n prime?
True
Let q(z) = -3*z - 5. Let f be q(-3). Suppose -f*h + 4 = -0*h. Suppose 4*v - 856 = 3*o, o + h + 3 = 0. Is v prime?
True
Suppose 3*x = -4*m - 38, -x + 5*x - 3*m = -59. Let y(f) = f + 18. Let v be y(x). Is (10/15)/(v/678) composite?
False
Let n = -45438 + 97189. Is n a composite number?
True
Let q(t) = -1922*t**3 - 4*t**2 - 3*t. Is q(-1) a prime number?
False
Is ((-16)/((-96)/(-772182)))/(-3) a composite number?
False
Let f be 1*10*2/5. Let r be (-10)/f*(-12)/5. Is ((-159)/r)/(2/(-4)) a composite number?
False
Let z(v) be the second derivative of -v**7/840 - v**6/90 + v**5/40 + v**4/6 + v**3/6 - 2*v. Let u(a) be the second derivative of z(a). Is u(-5) composite?
True
Suppose 0 = 5*i + 4*s - 2, -5*i - 2*s = -4*i - 4. Is (-669 + -2)*i/2 composite?
True
| {
"pile_set_name": "DM Mathematics"
} |
divided by o?
11
Suppose -q + 0*q + 67 = 4*a, -3*q + 5*a + 235 = 0. Calculate the remainder when q is divided by 19.
18
Suppose -4*t + 3*v - 4*v + 380 = 0, 0 = -5*t + 5*v + 450. Calculate the remainder when t is divided by 14.
10
Suppose l - 2*z = -4, -3*l - 6*z = -8*z - 4. Let b(n) = 20*n**2 - 2*n + 1. What is the remainder when b(1) is divided by l?
3
Let r = 88 - 63. Suppose 1 + 0 = -y, 5*y = m - 15. Calculate the remainder when r is divided by 135/m + (-1)/(-2).
11
Suppose 5*v - 9 - 26 = 0. Let a = v + -6. What is the remainder when a is divided by 1?
0
Let j = 2 + -8. Let n be (j/(-10))/((-1)/(-5)). Let z = 0 + n. What is the remainder when 9 is divided by z?
0
Let a = -85 - -179. What is the remainder when a is divided by 19?
18
Suppose -4*t - 10*t + 826 = 0. What is the remainder when t is divided by (6/(-4))/((-1)/10)?
14
Let j = 131 - 64. Suppose 0 = -2*g - o + 3*o + 26, -3*o = 4*g - 80. Calculate the remainder when j is divided by g.
16
Let w be 2/(-4)*-6 - 0. Let i be ((-6)/w)/((-2)/3). Suppose -44 = b - 5*b + 2*o, 2*b - 18 = i*o. Calculate the remainder when b is divided by 7.
5
Suppose -2*j = -5*p - 0 - 7, 0 = -5*j + 2*p + 28. Let o = 4 - 2. Suppose -o*q = -q - j. Calculate the remainder when 11 is divided by q.
5
Suppose -4*b + 2*z + 40 = -6, 15 = b + 3*z. What is the remainder when 34 is divided by b?
10
Let a(b) be the second derivative of -b**4/12 + 5*b**3/6 - b**2 - 2*b. What is the remainder when 6 is divided by a(2)?
2
Let g = -52 + 82. What is the remainder when g is divided by 11?
8
Suppose 4*h - l = 109, 3*l - 6*l = 4*h - 105. What is the remainder when h is divided by 7?
6
Let l be ((-4)/10)/(2/10). Let o = 0 - l. Let i = -1 + 6. Calculate the remainder when i is divided by o.
1
Suppose 3*n + 0*t = -3*t, -3*n + 5*t + 24 = 0. Let x = -72 - -76. What is the remainder when x is divided by n?
1
Suppose -2*o + 9 + 27 = 4*t, -t = -2*o + 26. Suppose -u + 4*c - 3 = 0, u + 0*c = 2*c + 3. What is the remainder when o is divided by u?
5
Let s(z) = 4*z - 52. Calculate the remainder when s(21) is divided by 7.
4
Suppose m + 0*m - 7 = 0. Let r(i) = 2*i**2 - 8*i + 2. Let v be r(m). Let w = v - 22. What is the remainder when w is divided by 8?
6
Let a = -69 - -133. Suppose -5*u = -3*j - a, -u + 4*j + 3 = -20. Calculate the remainder when 21 is divided by u.
10
Let m(j) = -3*j - 20. What is the remainder when 47 is divided by m(-11)?
8
Let k = -9 + 29. What is the remainder when k is divided by 7?
6
Suppose -2 + 7 = l. Suppose -4*t + 4*m = -80, 2*m - 44 = l*t - 129. Calculate the remainder when 44 is divided by t.
14
Let g(s) = -s + 4. Suppose -5*a - 15 = 10. Calculate the remainder when g(a) is divided by 4.
1
What is the remainder when (-8)/(-32) + (-438)/(-8) is divided by 14?
13
Let h = 2 + 0. Suppose 3*b - 40 = -h*b. What is the remainder when 21 is divided by b?
5
Suppose 0 = g - 3*f - 50, 0*g + 4*f + 250 = 5*g. What is the remainder when g is divided by 26?
24
Calculate the remainder when (-1448)/(-10) + 3/15 is divided by 37.
34
Suppose -4*g + 9 = -11. Suppose -2*p - g - 6 = u, 4*u = -2*p - 50. What is the remainder when 24 is divided by (-1)/(14/u + 1)?
11
Suppose -r = -4*o + 24, 0*o - 24 = -4*o - 4*r. Calculate the remainder when (-340)/(-12) + 4/o is divided by 8.
5
Let a(m) = 4*m - 1. Calculate the remainder when 105 is divided by a(7).
24
Let p = 129 + -95. What is the remainder when p is divided by ((-2)/4)/((-1)/24)?
10
Let s = -49 + 50. What is the remainder when 3 is divided by s?
0
Let q(l) = -5*l - 6. Calculate the remainder when q(-15) is divided by 24.
21
Let g = 9 - -23. What is the remainder when g is divided by 7?
4
Let d = -1 + 89. What is the remainder when d is divided by 15?
13
Suppose -3*x + 7*x - 20 = 0. Let h be 1/((6/(-34))/(-3)). Suppose h - 5 = 4*b. Calculate the remainder when x is divided by b.
2
Suppose -5*f + 3*o = -f + 200, 4*f + 3*o = -224. Let r = f - -102. What is the remainder when r is divided by 13?
10
Let c = -15 - 12. Let f = -2 - c. What is the remainder when f is divided by 14?
11
Let d(y) = y + 7. Suppose 0 = 5*w, 3*f = -w - 5 - 7. Let l be d(f). Suppose 3*m + h = 6*h + 12, 0 = m - l*h. What is the remainder when m is divided by 4?
1
Suppose -7*f = 6*f - 234. Calculate the remainder when f is divided by 5.
3
Let g(i) = -5*i**3 - i**2 + 1. Let o be g(-1). Suppose -h = 4*h - o. Calculate the remainder when h is divided by 1.
0
Let v = -5 - -9. Suppose 0*s - s = 4*g - 9, -2*s + v*g = -30. Calculate the remainder when (0 - 1)*(-49 + 0) is divided by s.
10
Suppose -17 = -a + 4*w, 3*a - 152 = -a - 5*w. What is the remainder when 17 is divided by 2/11 - (-192)/a?
5
Let o(l) = -2*l - 11. Let x = 9 - 17. Let v = 6 - 3. What is the remainder when o(x) is divided by v?
2
Suppose h - 4*z + 2 = 0, -3*h + 6*h - 33 = -z. What is the remainder when 27 is divided by h?
7
Suppose 19 = 6*u - 29. Calculate the remainder when 21 is divided by u.
5
Let y be (2/(-5))/((-3)/615). Calculate the remainder when y/8*(5 + -1) is divided by 14.
13
Suppose 39 = 2*g - 3. What is the remainder when g is divided by 4?
1
Suppose 0 = -z - o + 29, 2*z - 4*o - 24 = 28. Let f(h) = -h**3 + 6*h**2 - 6*h + 2. Calculate the remainder when z is divided by f(4).
8
Let i(k) = -4*k**3 + k - 1. Let a be i(1). Let b be (-40)/6 - a/(-12). Let z(v) = v**3 + 7*v**2 - 2*v - 3. Calculate the remainder when 21 is divided by z(b).
10
Let j = -14 - -19. What is the remainder when 19 is divided by j?
4
Let p(i) = i**3 - 7*i**2 + i - 6. Let s be p(7). Let y(f) = 28*f**2 - f. Suppose 44*b - 312 = 38*b. What is the remainder when b is divided by y(s)?
25
Let s = 15 - -7. Let b be 4/(2*(-2)/(-16)). Let w = b - 4. What is the remainder when s is divided by w?
10
Suppose -5*a + 3*t = -t - 123, a - 39 = -4*t. Calculate the remainder when a is divided by 14.
13
Suppose -x = -3*x + 4. Suppose -8*l + 37 = -3*l - 4*j, -3*l + 21 = -x*j. Suppose l*y = 106 + 9. Calculate the remainder when y is divided by 6.
5
Suppose 85 + 0 = 5*i. Suppose -5*r + 5 = -3*l - 25, 5*r = 5*l + 20. What is the remainder when i is divided by r?
8
Suppose 0 = -3*h - 151 - 2. Let a = h + 73. Calculate the remainder when (a/(-33))/((-4)/114) is divided by 7.
5
Suppose 5 + 27 = 2*w. Calculate the remainder when 29 is divided by w.
13
Let r(l) = 5*l**2 + 1. Suppose 7*g - 2*g + 4 = -x, 2*x - 2*g - 40 = 0. Let c = 0 + x. Calculate the remainder when r(3) is divided by c.
14
Let v = 1 - -29. What is the remainder when 87 is divided by v?
27
Suppose 3*i = -4 + 88. What is the remainder when 27 is divided by (0 - i/(-1))/2?
13
Let f(y) = -y**2 + 6*y. Let x be f(5). Let a(u) = -u**3 + 5*u**2 + 3. Let b be a(x). Let r = b + 1. What is the remainder when 6 is divided by r?
2
Let y(t) = -t**2 + 20*t + 18. Calculate the remainder when y(16) is divided by 21.
19
Let r(l) = 3*l - 36. Calculate the remainder when 52 is divided by r(18).
16
Let d = 161 - 127. Calculate the remainder when d is divided by 10.
4
Suppose 0 = 2*r + 5*w - 18, -r + 4*w - 14 = -3*r. Let s = 2 - r. Calculate the remainder when 17 is divided by 2*(0 + s + 0).
5
Suppose 0 = 4*w - w - 24. Suppose -55 = 3*s - w*s + 4*i, -s = -4*i + 5. What is the remainder when s is divided by 8?
7
Let v = 56 + -46. Calculate the remainder when v is divided by 4.
2
Let h = -28 - 44. Let v = 109 + h. What is the remainder when v is divided by 13?
11
Suppose u + 15 = 26. Calculate the remainder when u is divided by 7.
4
Suppose -3 + 12 = l. What is the remainder when l is divided by 3?
0
Calculate the remainder when 6/(-16)*2 - (-175)/4 is divided by 23.
20
Suppose 4*w - 281 = -29. What is the remainder when w is divided by 22?
19
Let r = 34 - 9. Suppose 4*x = -x + 295. Suppose 0 = 4*i + 16, -3*f + x = -3*i - 2*i. What is the remainder when r is divided by f?
12
Let l be ((-2)/(-3))/((-4)/(-6)). Calculate the remainder when 50 is divided by (1 - 2) + (15 - l).
11
Let w = -1 + 12. Suppose 2*u - 9 - w = 0. Suppose 0 = -q + 5*l + 3, 0*q - 3*q - 5*l = -69. Calculate the remainder when q is divided by u.
8
Let s be (-18)/(-12)*(-8)/(-6). What is the remainder when (1/2)/(s/120) is divided by (-16)/((-1 - -3) + -3)?
14
Suppose 5*b - 6*b = -1. What is the remainder when 29 is divided by (3*(7 + -2))/b?
14
Suppose 49 = 5*c - 181. Let k = c - 30. Cal | {
"pile_set_name": "DM Mathematics"
} |
n divisor of 98 and 4655?
49
What is the highest common factor of 135 and 81?
27
What is the greatest common divisor of 220 and 40?
20
Calculate the highest common divisor of 132 and 11748.
132
Calculate the greatest common divisor of 336 and 714.
42
Calculate the highest common divisor of 594 and 3402.
54
What is the highest common factor of 38 and 3743?
19
Calculate the greatest common factor of 50 and 3950.
50
What is the greatest common divisor of 153 and 17?
17
Calculate the highest common factor of 890 and 170.
10
What is the greatest common factor of 20 and 95?
5
Calculate the highest common divisor of 3 and 291.
3
What is the greatest common factor of 1495 and 130?
65
What is the greatest common factor of 1862 and 14?
14
What is the highest common factor of 4171 and 86?
43
Calculate the greatest common divisor of 670 and 70.
10
What is the greatest common divisor of 390 and 22685?
65
Calculate the greatest common factor of 8080 and 16.
16
Calculate the highest common factor of 78 and 819.
39
What is the greatest common divisor of 500 and 20?
20
What is the greatest common divisor of 5 and 2615?
5
What is the highest common factor of 18 and 456?
6
Calculate the highest common factor of 1183 and 91.
91
Calculate the greatest common divisor of 113 and 3051.
113
Calculate the greatest common divisor of 188 and 10199.
47
What is the greatest common factor of 1419 and 2112?
33
Calculate the highest common divisor of 468 and 72.
36
Calculate the highest common divisor of 59 and 531.
59
What is the highest common divisor of 228 and 408?
12
What is the highest common factor of 624 and 78?
78
Calculate the highest common factor of 8901 and 621.
207
What is the greatest common factor of 45 and 7515?
45
What is the highest common divisor of 8528 and 41?
41
Calculate the greatest common divisor of 24 and 48.
24
Calculate the highest common factor of 62 and 7750.
62
What is the greatest common divisor of 93 and 1581?
93
What is the highest common divisor of 176 and 77?
11
What is the greatest common divisor of 8267 and 63?
7
Calculate the greatest common factor of 63 and 549.
9
What is the highest common divisor of 47603 and 526?
263
What is the highest common divisor of 304 and 19?
19
Calculate the greatest common divisor of 2990 and 130.
130
Calculate the greatest common factor of 1785 and 4590.
255
Calculate the highest common divisor of 105 and 70.
35
Calculate the highest common divisor of 3237 and 39.
39
Calculate the highest common factor of 272 and 480.
16
Calculate the greatest common factor of 60 and 1590.
30
What is the greatest common divisor of 10 and 1730?
10
Calculate the highest common divisor of 84 and 483.
21
What is the greatest common divisor of 47 and 1927?
47
What is the highest common divisor of 515 and 5?
5
Calculate the highest common divisor of 5085 and 226.
113
What is the highest common divisor of 26 and 234?
26
What is the highest common factor of 725 and 100?
25
Calculate the highest common factor of 90 and 2880.
90
What is the highest common factor of 11 and 1243?
11
Calculate the highest common divisor of 140 and 189.
7
What is the highest common divisor of 39 and 1157?
13
What is the greatest common factor of 5376 and 16?
16
Calculate the greatest common factor of 1295 and 77.
7
What is the highest common factor of 2249 and 39?
13
What is the greatest common factor of 2260 and 120?
20
What is the greatest common factor of 219 and 6?
3
What is the highest common divisor of 2981 and 55?
11
What is the highest common divisor of 46164 and 12?
12
Calculate the highest common divisor of 80 and 12.
4
What is the highest common divisor of 88 and 4048?
88
Calculate the highest common factor of 2327 and 26.
13
Calculate the greatest common divisor of 2167 and 11.
11
What is the greatest common divisor of 78 and 3159?
39
Calculate the greatest common factor of 513 and 19.
19
What is the highest common factor of 50 and 8?
2
Calculate the greatest common factor of 295 and 177.
59
What is the highest common divisor of 127 and 5969?
127
What is the greatest common divisor of 2073 and 3?
3
What is the highest common factor of 13044 and 60?
12
Calculate the highest common divisor of 8 and 776.
8
What is the highest common divisor of 60 and 1880?
20
What is the greatest common factor of 4 and 6?
2
Calculate the greatest common divisor of 115 and 7705.
115
What is the highest common factor of 156 and 221?
13
Calculate the highest common divisor of 4410 and 90.
90
What is the highest common factor of 112 and 80?
16
Calculate the highest common divisor of 1678 and 12.
2
What is the highest common divisor of 33 and 1089?
33
What is the greatest common factor of 1332 and 180?
36
Calculate the highest common divisor of 136 and 17.
17
Calculate the highest common factor of 72 and 36264.
24
Calculate the greatest common factor of 121 and 209.
11
Calculate the highest common divisor of 102 and 6.
6
What is the greatest common factor of 697 and 1271?
41
What is the highest common factor of 1420 and 5396?
284
Calculate the greatest common divisor of 42672 and 21.
21
Calculate the greatest common divisor of 364 and 156.
52
Calculate the highest common factor of 780 and 1310.
10
Calculate the greatest common factor of 2758 and 378.
14
What is the highest common factor of 70 and 1890?
70
What is the highest common divisor of 2592 and 6264?
216
Calculate the greatest common divisor of 16 and 688.
16
Calculate the greatest common divisor of 20 and 172.
4
What is the greatest common divisor of 6714 and 72?
18
Calculate the greatest common factor of 69 and 1035.
69
Calculate the greatest common divisor of 696 and 28304.
232
Calculate the greatest common divisor of 120 and 3880.
40
Calculate the greatest common factor of 53 and 848.
53
Calculate the highest common factor of 1071 and 441.
63
Calculate the greatest common factor of 16 and 112.
16
Calculate the greatest common factor of 315 and 10.
5
What is the highest common divisor of 810 and 990?
90
Calculate the highest common divisor of 40 and 10280.
40
Calculate the greatest common factor of 575 and 175.
25
What is the greatest common factor of 12072 and 8?
8
Calculate the highest common factor of 621 and 5727.
69
Calculate the highest common factor of 400 and 32.
16
What is the highest common divisor of 962 and 74?
74
What is the greatest common factor of 102 and 306?
102
What is the highest common divisor of 26 and 806?
26
Calculate the greatest common divisor of 256 and 28.
4
Calculate the greatest common divisor of 2756 and 52.
52
Calculate the highest common factor of 143 and 275.
11
Calculate the greatest common divisor of 1267 and 8145.
181
What is the highest common factor of 154 and 110?
22
What is the highest common divisor of 839 and 1?
1
Calculate the highest common factor of 111 and 444.
111
What is the greatest common factor of 462 and 1722?
42
What is the greatest common divisor of 104 and 572?
52
Calculate the highest common divisor of 9261 and 189.
189
Calculate the greatest common divisor of 13464 and 153.
153
Calculate the greatest common divisor of 2147 and 113.
113
Calculate the highest common divisor of 12 and 266.
2
What is the highest common divisor of 30 and 855?
15
Calculate the greatest common factor of 850 and 34.
34
What is the greatest common divisor of 74 and 4107?
37
Calculate the greatest common factor of 53718 and 42.
42
What is the highest common factor of 186 and 1209?
93
Calculate the greatest common divisor of 672 and 42.
42
Calculate the highest common divisor of 1955 and 85.
85
What is the highest common divisor of 47 and 752?
47
Calculate the highest common factor of 9648 and 12.
12
Calculate the greatest common factor of 8 and 100.
4
Calculate the highest common factor of 24 and 1656.
24
Calculate the highest common divisor of 40 and 1160.
40
What is the highest common factor of 7 and 161?
7
Calculate the greatest common factor of 219 and 237.
3
Calculate the highest common factor of 168 and 12.
12
What is the highest common divisor of 338 and 78?
26
Calculate the greatest common divisor of 135 and 774.
9
What is the highest common factor of 1854 and 18?
18
What is the highest common factor of 14931 and 54?
27
Calculate the highest common divisor of 217 | {
"pile_set_name": "DM Mathematics"
} |
/10
Let q = -27693 - -27876. Which is smaller: q or 2746/15?
q
Suppose 4*a - 48*n = -53*n + 30, 3*a = -5*n + 30. Which is bigger: 13/49 or a?
13/49
Suppose 0 = 5*k + 125*x - 128*x + 4110, -5*x = 5*k + 4070. Is k at most -822?
False
Suppose 0 = 4*b + 3*x - 4*x, -3*b + x = 1. Let q be (10/5 + 0)/b. Suppose i = -2*r - 21, i = -i - q. Which is bigger: -13 or r?
r
Let p be 141 - -3733 - (3 - 2 - -1*4). Is 3869 greater than or equal to p?
True
Let g be (570/(-75) - -7*1) + (-3660)/25. Is g greater than or equal to -146?
False
Let k = 5.646 - 1223.646. Is k >= 0.2?
False
Let g = -821 + 1081. Let b = g - 260. Which is greater: b or -99?
b
Suppose 316722 = 24*q + 274*q + 83090. Is 8610/11 smaller than q?
True
Let o = 1859.9 - 1860. Is o greater than -4172?
True
Let x = 30641 - 30613. Let q be 6/(-4)*8/30. Which is smaller: x or q?
q
Let b be ((-3445)/(-78))/(2/(-3)). Let t = -155/4 - b. Are t and 28 equal?
False
Let p(w) = -7*w**2 + w - 1. Let s = -118 + 119. Let x be p(s). Let z be (-4)/6 - 19/3. Is z smaller than x?
False
Let g be (2 + -47)*((-138)/(-30) - 5). Suppose -20*i - g = -38. Let s = -5735/24 - -239. Is i > s?
True
Let m(u) = -10*u - 205. Let f be m(-26). Let h = 63 - f. Which is greater: h or 102/11?
102/11
Let x be 13/(-195)*-165 - 62*1. Do -361/7 and x have different values?
True
Suppose 0 = -5*l + 3*u, 1 + 13 = -2*l + 4*u. Let o be 264/(-42) - -6 - (-2)/7. Suppose -2*x - x + 9*x = o. Which is bigger: l or x?
l
Suppose 134 = -5*u + 4*t, -4*u - 11 = -3*t + 96. Which is greater: u or -49?
u
Let d = -2404 - -2404. Which is smaller: 1/2580 or d?
d
Suppose 0 = k + 4*r + 10, -r - 3 = -0*r. Suppose -s = -f - k + 4, -3*f = -5*s - 14. Which is greater: -6/11 or f?
-6/11
Suppose -17*k = -3*h - 22*k - 1164, 2*h = k - 776. Let y = 388 + h. Is y not equal to 1/232?
True
Let f = -164 + 468. Let v = 306 - f. Which is bigger: v or 2.1?
2.1
Suppose 0 = -67*k + 425 - 1162. Which is greater: -109/9 or k?
k
Suppose -1558*i + 1559*i + 4*o + 3517 = 0, -4*i - 3*o = 13964. Which is bigger: i or -3486?
i
Let t = 449 + -897. Which is smaller: -451 or t?
-451
Suppose 0 = -4*x + 4*t - 3328, 76*t - 74*t = -3*x - 2496. Is x less than or equal to -832?
True
Let w be (2/2)/((-44)/8). Let s = 164 - 273. Let d = 108.92 + s. Is d less than w?
False
Let m be (23/(-2) + -2)*2/(-3). Suppose 0 = -x + 4*j + 27, -4*j + 25 = -m*j. Is 7 < x?
False
Let o = 4364 + -4365. Let b(j) = -j**2 - 7*j + 2. Let u be b(-4). Which is bigger: o or u?
u
Let a = 234594/59 - 3976. Which is greater: 5 or a?
5
Let l be (-636)/(-1166) + 27615/11. Is 2510 at most l?
True
Let f = 19479 + -17873. Which is smaller: 1608 or f?
f
Let u = -2687.34 - -2671. Let b = 15 - 15.34. Let n = u - b. Is -3/4 < n?
False
Suppose 28 = 4*j, -76*f = -75*f - 4*j + 27. Are -30/221 and f equal?
False
Let v = -400.625 + 429. Let p = 0.525 + v. Let k = p - 29. Which is smaller: k or 55?
k
Suppose -8*t - 7*t = -30. Suppose -4*z - f = -25, z + f + t*f - 9 = 0. Suppose -2*y + 18 + z = 0. Which is greater: y or 6?
y
Let w = 3115 + -43605/14. Is w smaller than -0.6?
False
Let x(m) = 54*m**2 + 213*m - 27. Let w be x(-4). Which is smaller: -716/47 or w?
-716/47
Let p(n) = -n**3 + 4*n**2 + 14*n - 9. Let k be p(6). Let i be (-5*(-176)/(-55))/((-9)/1). Is i smaller than k?
True
Let a = -0.1 + 1.1. Suppose -i - 17 = -5*t, 10*i + 5*t - 32 = 6*i. Suppose 3*c - 4*q - 6 = -q, i*q + 18 = -3*c. Which is smaller: c or a?
c
Let j(l) = -14*l**2 + 10*l. Let t be j(2). Let r be (-1767)/t - 12/(-18). Let k = r - 50. Do k and 2/3 have different values?
True
Let l(t) = 5*t**2 + 162*t + 60. Let v be l(-32). Is 322 at least v?
True
Let t be (-5160)/387*-3*1/(-2). Which is greater: 128 or t?
128
Let s(b) = 647*b - 163. Let d be s(-1). Is d smaller than -4047/5?
True
Let n be 2/6 + 93/(-9). Suppose -15*x + 21*x = -36. Let y be ((-19)/(-10) + (-2)/5)*x. Which is smaller: y or n?
n
Let v be 5/10*2*(-1 + -1). Let r be (8/(-20))/v*4. Is 1/5 equal to r?
False
Let m be 8/6*3/310. Let o(x) = -795*x + 44521. Let w be o(56). Which is smaller: m or w?
m
Suppose 90 + 220 = -m. Suppose 190*g + 15017 + 38886 + 5187 = 0. Which is smaller: m or g?
g
Let i be 362/(-5) - (-2 - (-56)/35). Let b = 65 + i. Let s be (92/30 + -3)/(b/(-777)). Which is smaller: s or 7?
7
Let n = -11721 - -11674. Suppose -2*b - 50 = -b. Which is smaller: b or n?
b
Let l be (4 + -1 - 10) + 5768/(-4). Is l < -1448?
True
Let y = -19290 + 19293. Let n be 2/(-11)*(14 - 7). Which is smaller: y or n?
n
Suppose 2 - 14 = -4*n, -5*x - 2*n = -61. Suppose 6 = -10*h + x*h. Suppose -o - 1 = 2*u - 2, -o - h = -5*u. Is 3/29 bigger than o?
True
Let c = -66 + 40. Let x = 29 + -28. Which is smaller: c or x?
c
Let d(i) = -71*i - 2. Let n be d(2). Let s be ((-22)/1 - -2)*(44 - (-1470)/(-40)). Which is smaller: s or n?
s
Let u(b) = 16*b**3 - 8*b + 8. Let v be u(2). Let z = v - 122. Suppose -2*f - 8 = 4*s, -10 = 4*f - 3*s + 5*s. Is z bigger than f?
False
Let a = -4106 + 4106.13. Which is smaller: a or -99?
-99
Let a(v) = v**3 + 232*v - 277*v + 1 - 3*v**2 - 9*v**2. Let j be a(15). Let w be (-4)/(-7)*30/8. Is j <= w?
True
Let z = 90357646303/80051 + -1128751. Which is smaller: -1 or z?
-1
Let l = -378 + 524. Let w = 114 - l. Are w and -32 equal?
True
Let w(y) = y**3 + 66*y**2 - 214*y - 354. Let v be w(-69). Is 1421/11 > v?
True
Suppose 151*w - 73*w = 73*w - 5. Which is smaller: -55/179 or w?
w
Let m(z) = 3*z**2 - 13*z**2 - 12*z**2 + 2 - 8*z**2 + 56*z + z**3. Let y be m(28). Which is bigger: y or -14?
y
Suppose -q + 3 = 150. Let n be -2 + -1*q/(-15). Let x(b) = b**3 - 37*b**2 + 335*b + 113. Let a be x(18). Which is bigger: a or n?
n
Let z = -29104 - -29045. Is -72 less than or equal to z?
True
Let z be 5 + ((-68)/408)/(2/(-12))*-5. Which is bigger: z or -3/1082?
z
Suppose 0 = -4*i + 2*p + 260, -33*i + p = -36*i + 185. Let u = -67 + i. Are u and -27/10 equal?
False
Let t = -4296 - -4410. Is -0.5 less than t?
True
Let k = -11785 + 11786. Let z = 0 - -3. Let q = -3.8 + z. Which is smaller: k or q?
q
Let r = 1 + 9. Let c = -489 + 1601. Let l = 1123 - c. Are l and r nonequal?
True
Suppose h + 5*f + 19 + 31 = 0, 3*h + 4*f + 106 = 0. Let n be (-856)/(-2354) + 356/(-11). Which is smaller: n or h?
n
Suppose -31*t = -30*t - 5. Suppose 0 = 5*l - v - 1, t*l = -v + 2 + 7. Suppose 9 = 5*o - l. Is -1 smaller than o?
True
Let c be -2*((-382)/(-68) + (-2)/17). Which is greater: c or -15?
c
Let r(a) = -20*a - 9. Let v be r(0). Let d be -6*1/8 - v/12. Which is greater: 9/38 or d?
9/38
Suppose -3*d + 2 = 53. Let o be (1131/406)/((-4)/24). Let w = d - o. Is -73 > w?
False
Let b = -0.4019 - -0.2019. Is 1284 greater than b?
True
Let i = -72 - -70. Let t be (-28)/175*i/(-12). Let o be (1 + -1)/(15 - 13). Is o less than or equal to t?
False
Let w = 14768 - 15271. Which is smaller: -2 or w?
w
Let g = -63 + 65. Suppose d + g*d = 12. Suppose 0*u - 3*u - 3 = d*l, 2*l + 12 = 2*u. Is 3 at least as big as u?
True
Let q = 8935499/1050 + -8510. Is 0 bigger than q?
True
Let q = 23474.9 + -23491.8. Let o = 0.2 - 0.2. Is o != q?
True
Let j = -0.1277 + -512.8723. Let d = j - -512.9. Do d and 2.7 have the same value?
False
Suppose 2*d + 4*v - 261 = 319, -5*d - 4*v + 1474 = 0. Suppose -44772 = -218*s + 19974. Is d <= s?
False
Let d(y) = 179*y + 2147. Let n be d(-12). Which is smaller: n or -5/98?
n
Let j = -325 + 121. Let n = j - -204. Which is greater: 33 or n?
33
Let p be 5/(25*8/120) + 2. Are 74/19 and p nonequal?
True
Let s = -8 + 14. Let l be (150/(-100))/(2/42). Let b = -27 - l. Is s >= b?
True
Let a = -2.329 + 1490.329. Which is greater: a or -1/4?
a
Suppose 5*g = -11*g + 6*g. Suppose g = -11*u + 4*u. Which is smaller: 2/3 or u?
u
Suppose 5*s - 2*r = -9*s - 164, -4*s - 19 = 5*r. Is s < -186/19?
True
Let f be 12 - (3375/(-10))/(-25). Is f smaller than -459?
False
Let d = -43 - -91. Let q = 220532 - 220484. Is q >= d?
True
Let s be ((-1)/(-639))/((21/1372)/3). Let y = s - 6/71. Which is bigger: 0.34 or y?
0.34
Suppose 0 = 3*s - 2*s. Let i = 72 + -73. Let r be ((-3)/(-8)*-1)/i + 0. Is r <= s?
False
Suppose 4*a = 20, 0 = 42*n - 37*n - 2*a - 315. Which is greater: n or 86?
86
Let m be 5/(-3)*(-384)/80*(-1562)/(-4). Is m equal to 3122?
False
Let n be 76/52*537 - (-30)/195. Is n bigger than 781?
True
Let r = -2361 + 26047/11. Is -2/15 less than r?
True
Sup | {
"pile_set_name": "DM Mathematics"
} |
Let m = 25.11 - x. Let i = m + -0.33. What is i rounded to the nearest integer?
21
Let a = 2272764 + -1065889. Let v = a - 1206869.40689. Let g = v - 5.6. Round g to 3 decimal places.
-0.007
Let p = 34296.000036394 - 34296. What is p rounded to 7 dps?
0.0000364
Let q = -1352 + 755.3. Let b = q - -565. Let s = -31.700253 - b. What is s rounded to 5 decimal places?
-0.00025
Let t = 39 + -34. Suppose -3*q + 549702 = -k, -t*k + 366451 = q + q. Suppose 3416767 + q = 2*m. Round m to the nearest 1000000.
2000000
Let a = 719362 + 156110. Let r = 49035 - 12507. Suppose -8*g + a = -r. Round g to the nearest 10000.
110000
Let n = 579324 - 950439. Let c = 371114.829899 + n. Let u = -0.17 - c. Round u to 5 dps.
0.0001
Let g be 5/1*152/(-10). Suppose 2*q - r - 22 = q, -10*r = 3*q - 27. Let m be q/g - ((-1535986)/8 + -2). Round m to the nearest 10000.
190000
Let l = -7.7 - -11. Let r = l + 54.7. Let x = r - 57.999992. What is x rounded to 6 decimal places?
0.000008
Let z = 578.1 + -499. Let d = z - 85. Let b = d + 5.89999967. What is b rounded to 7 decimal places?
-0.0000003
Suppose -2*o = 4*z + 806, 0*o = -5*z + o - 1004. Let h = z + 105. Let v be h/(-6)*92*25000. Round v to the nearest one million.
37000000
Let b(p) = -882*p**2 + 71*p + 721. Let a be b(-12). Round a to the nearest one thousand.
-127000
Let l = 41.976 + 0.024. Let g = l + -85. Let m = g + 43.195. Round m to two decimal places.
0.2
Let n(q) = 45476*q**3 - 12*q**2 - 6*q + 16. Let d be n(-6). Let r = d + 6413196. What is r rounded to the nearest 100000?
-3400000
Let j = -430.72 - -1.72. Let a = j - -358.8. Round a to the nearest integer.
-70
Let u = -8.74 - -2940.74. Let h = u + -2932.00004506. What is h rounded to six decimal places?
-0.000045
Suppose 3*d = -i + 116341, -37005 = -2*d + 3*i + 40563. What is d rounded to the nearest one thousand?
39000
Let j(w) = 2*w + 50000008. Let f(m) = -5*m - 150000022. Let z(b) = -4*f(b) - 11*j(b). Let y be z(0). Round y to the nearest one million.
50000000
Suppose -5*i - 20 = 0, -4*x = -5*i - 1891 - 5481. Suppose -4*t - 1838 - 619 = -z, 0 = -3*t - 4*z - x. Round t to the nearest 100.
-600
Let d = 257006183140.6200464 + -257006685510. Let y = -502369 - d. Let v = -0.38 + y. Round v to 6 decimal places.
-0.000046
Let c = 14427.06877 - 14427. Round c to three dps.
0.069
Let w = -5 + -8. Let p(n) = -n**2 - 16*n - 29. Let z be p(w). Suppose z = 6*k - k, 90010 = 5*d + 5*k. Round d to the nearest 10000.
20000
Let p = -783 - -728. Let c = 58.63 + p. What is c rounded to one dp?
3.6
Let o = 119.258 - -68.236. Let u = 188 - o. Round u to one decimal place.
0.5
Let y = 21.071 + -21.117996. What is y rounded to 3 dps?
-0.047
Suppose -4*w + 3*b - 79790 = -2*b, -w - 4*b = 19958. Let j = 29660 + w. What is j rounded to the nearest one thousand?
10000
Let n = 11.41198 - 0.05898. What is n rounded to the nearest integer?
11
Let j = 32.971 + -33. Let s = -7215 + 7215.028504. Let l = s + j. Round l to five dps.
-0.0005
Let n = 59.36455709 - -27972.06201291. Let g = 28030.2 - n. Let d = 1.23 + g. What is d rounded to 3 decimal places?
0.003
Let w = -0.022394 - 2.529506. What is w rounded to one dp?
-2.6
Let p = -194.7 + 194.80446. Round p to 2 dps.
0.1
Let c(q) = -572*q**3 - 8*q**2 + 24*q + 940. Let x be c(29). Round x to the nearest one million.
-14000000
Let o = -24 + 28. Suppose -6*z = -o*z - 59946. Let l = z - 19173. What is l rounded to the nearest 1000?
11000
Let j = 29799739.96000514 - 29799934.96. Let b = -1048 + 853. Let o = j - b. Round o to 6 decimal places.
0.000005
Let z = 214878 + -89078. Round z to the nearest one hundred thousand.
100000
Let t = -131 + -217. Let c = -13759123275.99999821 - -13759122928. Let h = t - c. What is h rounded to seven decimal places?
-0.0000018
Let u = 86.4 + -66. Let q = -128.4 + u. Let x = q + 108.000000173. Round x to 7 decimal places.
0.0000002
Let p be (63/105)/((-3)/(-15)). Let o be (4 - p)*1 - 194697/(-3). What is o rounded to the nearest 10000?
60000
Let o = 143.486 + -143. Let b = 0.5606 - o. What is b rounded to 2 dps?
0.07
Let g = -0.876 + 0.276. Let r = 10.7 + g. What is r rounded to 0 decimal places?
10
Let n = -411390 + 1470800. Suppose 5*y + 4029405 = n. Let s be 4/(-24) - y/(-6). Round s to the nearest 10000.
-100000
Let s = -85 + 73. Let d = s + 37. Let v = -236 + d. What is v rounded to the nearest 10?
-210
Let d = -34557.81563 - -34558. Let o = 0.186 - d. What is o rounded to 4 dps?
0.0016
Suppose -4*l + 5*x + 4462063 = -7191512, -11653620 = -4*l - 4*x. Round l to the nearest one hundred thousand.
2900000
Let m = 0.32 - 9.32. Let p = 118 + m. Let f = -109.98 + p. What is f rounded to one decimal place?
-1
Let h = -4433.90000037694 + 4433.9. What is h rounded to 7 dps?
-0.0000004
Let j = -3 + 1.91. Let d = -212623 - -212621.90909. Let g = j - d. Round g to 4 dps.
0.0009
Let q = -7844 - -4558. Let o = 3287.441 + q. Let d = 1.4 - o. What is d rounded to 3 dps?
-0.041
Let h = -91 + 135.7. Let d = h + -31. Let w = 13.700247 - d. Round w to 4 decimal places.
0.0002
Suppose 29*h - 418940 = 23952573. Let j = h + -1371397. What is j rounded to the nearest 10000?
-530000
Suppose 26431 = a + l - 4*l, 5*l = 0. Let w = -419 - a. What is w rounded to the nearest 1000?
-27000
Let y be (2/16)/(2/32). Suppose m + 3089669 = 4*r - 38620351, y*m + 83419990 = -2*r. What is m rounded to the nearest one million?
-42000000
Let a = 3594.5 - 1184. Round a to the nearest ten.
2410
Let y = 3409869 + -1063138. Let k = y + -1271731. Round k to the nearest 100000.
1100000
Let w = -4.3266 + 4.32582612. Round w to four dps.
-0.0008
Suppose -4*i - 3*j + 113 = 0, 0*i = -4*i - 2*j + 114. Let c(q) = q - 19. Let x be c(i). Suppose k - x*k + 566100 = 0. Round k to the nearest ten thousand.
60000
Let d(a) = a**3 - 2*a**2 + 5*a - 1. Let p be d(4). Suppose -2*h - p = -63. Let k be (-20)/8*(h + -33606). What is k rounded to the nearest 10000?
80000
Let j(y) = -33 + 298*y + 46*y - 50 - 30 - 167. Let d be j(20). What is d rounded to the nearest one thousand?
7000
Suppose 52336 = -5*p - 56729. Let k = p + 31793. What is k rounded to the nearest one thousand?
10000
Let m = 1898225 + 906775. Round m to the nearest one hundred thousand.
2800000
Let f = -830 + 829.44. Let l = f - -0.54675. What is l rounded to 3 decimal places?
-0.013
Let m = -106666026.0120229 + 106666014. Let p = m - 33.9879857. Let j = -46 - p. Round j to 6 dps.
0.000009
Suppose -5*b + 69020 = 5*o + 834875, -2 = -2*o. Let f = 265372 + b. What is f rounded to the nearest ten thousand?
110000
Let g = -0.02802 + -0.0249. Let y = -6.28692 - g. Let q = 0.826 - y. Round q to 1 dp.
7.1
Let y = -3463 - -1782. Let c = -1681.00001149 - y. Round c to six dps.
-0.000011
Let a = -13894030.42 + 13894020.11999857. Let z = -60 - -70.3. Let d = a + z. Round d to 7 decimal places.
-0.0000014
Let z(b) = 8989*b**3 - 21*b**2 - 36*b - 96. Let y be z(-7). Round y to the nearest one hundred thousand.
-3100000
Let m(s) = -2161*s**3 + 5*s**2 + 8*s - 10. Let v be m(-5). What is v rounded to the nearest one thousand?
270000
Let a = -114 - -156. Suppose 4*r - a = u, 4*r - 126 = 3*u + 3*r. What is u rounded to the nearest ten?
-40
Suppose -254001 = 5*j + 6*z, -3*j = -5*z + 100850 + 51585. Round j to the nearest 1000.
-51000
Let l = -483 - -330. Let t = -12777.88 + 12935. Let n = l + t. Round n to the nearest integer.
4
Let g = 0.0093 - 195.0093. Let k = g + 195.0155. Round k to 3 decimal places.
0.016
Let s = 0.39788 + 3688.00212. What is s rounded to the nearest 100?
3700
Let i = -819 + 818.99515. Let x = i - -0.56025. Round x to one dp.
0.6
Let o = -506.6 + 556. Let p = o - 51. Let y = p + 1.600295. What is y rounded to four dps?
0.0003
Let v = 7.7145 - 11.1342. Let n = 0.296 - 3.696. Let z = n - v. What is z rounded to 2 dps?
0.02
Let t = 16 + 39. Let w = t - 55. Suppose -5*b + 6*b + 23100000 = w. What is b rounded to the nearest one million?
-23000000
Let g = -2 - -101. Let f = g + -77.99955. Let t = -21 + f. Round t to 4 decimal places.
0.0005
Let a = 20.2 - 28.9. Let h = a + 0.1. Let k = -52.1 + h. What is k rounded to the nearest 10?
-60
Let y = 0.07971 + 376.02029. Let q = 395 - y. What is q rounded to the nearest integer?
19
Let l = 1486.134 - -8.266. What is l rounded to the nearest ten?
1490
Let m = -7517 | {
"pile_set_name": "DM Mathematics"
} |
Which is the closest to -1/3? (a) -0.3 (b) -3/8 (c) -5 (d) 13/10
a
Which is the nearest to 0.1? (a) -19/10 (b) 0.3 (c) 0.4 (d) 3/8
b
What is the closest to 2 in 0.1, 5, -8.9?
0.1
What is the nearest to -6 in 7, -1/4, 3/2, 2?
-1/4
Which is the closest to 2/5? (a) -10 (b) 0.5 (c) 15
b
What is the nearest to 0 in -0.4, -5, -41?
-0.4
Which is the closest to -210? (a) 1/20 (b) 2/13 (c) 1
a
Which is the nearest to -0.1? (a) -956 (b) -0.8 (c) -2/15
c
Which is the nearest to 36? (a) -2 (b) -5/2 (c) -122
a
Which is the nearest to 0.5? (a) 1/4 (b) 4 (c) -4
a
Which is the nearest to -3? (a) 0.4 (b) -0.2 (c) 0
b
Which is the nearest to 5? (a) -5 (b) 5 (c) 1/5 (d) -263
b
What is the closest to 0 in -1, 95, 4?
-1
Which is the nearest to -1? (a) -0.24 (b) 1/11 (c) 0 (d) -5/4
d
What is the nearest to -2 in 1/8, -2/13, 1.4?
-2/13
What is the closest to 0.15 in -2/7, 0.2, 4, 1/2?
0.2
What is the nearest to -13 in 0.3, -0.11, -5?
-5
What is the nearest to 1 in 7.9, -5, 1/8?
1/8
Which is the nearest to 2? (a) -10/9 (b) 3 (c) 4
b
Which is the nearest to 1? (a) 0.1 (b) 5.7 (c) 0.5 (d) -1
c
What is the nearest to -2 in -13, 11.4, 1?
1
Which is the nearest to -13.5? (a) 3 (b) 2 (c) -3
c
Which is the closest to -2/5? (a) 0.3 (b) -4 (c) -0.2 (d) 1
c
Which is the nearest to -0.4? (a) -25 (b) 2/21 (c) -0.5
c
Which is the nearest to 2/3? (a) -1.2 (b) -3 (c) -2 (d) -0.5
d
What is the closest to 2/7 in 0.2, -1/11, -3?
0.2
What is the closest to 1 in 9/19, 4, -2/5, -3?
9/19
Which is the nearest to -2/17? (a) 4 (b) 2/7 (c) -5 (d) 1/6
d
Which is the closest to 1/13? (a) 2 (b) 1 (c) 5/8
c
What is the closest to -2 in 0.2, -3, 2/5, -10?
-3
What is the nearest to 4 in -1/4, 1/4, 5, -4?
5
What is the closest to 0 in 0, -1/3, -139?
0
Which is the nearest to 1? (a) -0.32 (b) 0.2 (c) 0 (d) 1/2
d
Which is the closest to -1? (a) 0.5 (b) -0.22 (c) 15 (d) -1/2
d
Which is the nearest to 0? (a) -2/11 (b) 1/7 (c) 1/18
c
Which is the nearest to 6? (a) 2 (b) -0.4 (c) 1 (d) 3/40
a
Which is the closest to -28? (a) 0.2 (b) 10 (c) 1
a
Which is the nearest to 5? (a) -0.31 (b) -2 (c) 4 (d) 3
c
What is the nearest to -48.1 in 3, 4, 2/9?
2/9
What is the closest to -0.05 in -26, 0.8, 2?
0.8
What is the nearest to -1/3 in 0.3, -0.5, 83?
-0.5
Which is the nearest to -1? (a) -5 (b) -3 (c) 18
b
What is the nearest to -1/3 in -0.5, 2, -626, -5?
-0.5
What is the closest to 0.1 in 15, 0.2, 1/4?
0.2
What is the closest to -2 in -0.3, 3, -3/4, -4/7?
-3/4
Which is the closest to -5/7? (a) 3 (b) -21 (c) -3 (d) 1
d
What is the closest to 2/29 in 1, -4, -28, -2/3?
-2/3
What is the closest to -2 in 0.09, 3/19, -5?
0.09
What is the nearest to 0.5 in 1/4, -2, -4, -0.21?
1/4
What is the closest to 0 in 1.39, 4/9, 0?
0
What is the nearest to -0.1 in 122, -3, -4, 0.5?
0.5
Which is the nearest to 1/6? (a) -37 (b) 2 (c) 1/5
c
Which is the closest to 11/3? (a) -1/3 (b) 0.1 (c) -0.4 (d) -0.2
b
Which is the nearest to -0.1? (a) 51 (b) -2 (c) 1/22
c
Which is the closest to -1? (a) -0.2 (b) 65 (c) 3
a
Which is the closest to 1/3? (a) 3.4 (b) -2 (c) -5 (d) -1
d
What is the nearest to 5 in -4, -2, 2/7, 3/4?
3/4
Which is the closest to 6? (a) 2 (b) 0.5 (c) 4 (d) -0.3
c
What is the closest to 2/3 in 6/13, 0.2, 0.05?
6/13
What is the closest to 5/6 in 2, -1, -2/11?
-2/11
Which is the closest to 0.1? (a) 3 (b) 1/5 (c) 32 (d) -0.3
b
What is the nearest to -2/7 in 0.2, -1, -2/23, 0.3?
-2/23
Which is the closest to -5? (a) -596 (b) -3 (c) 0.4
b
What is the nearest to 466/21 in -0.4, -3, 0.1?
0.1
What is the closest to 2/39 in 0.1, -1, 4/7, -8?
0.1
Which is the nearest to -2/9? (a) 2/9 (b) 13 (c) -6
a
What is the closest to 8 in 5, 21, -0.5, -2?
5
What is the nearest to 0 in -1/3, 41, -0.4, 1/6?
1/6
Which is the nearest to 0? (a) 0 (b) 4 (c) 0.5 (d) 1
a
Which is the nearest to -1? (a) -7 (b) -1/2 (c) 0.2 (d) 2/5
b
What is the closest to 1 in 2/9, 4, 6/7?
6/7
Which is the closest to 1? (a) 2/17 (b) 2/315 (c) 8
a
What is the closest to 0 in -2, 2/9, 218?
2/9
What is the nearest to 0.1 in 1, 22/3, -5, 4?
1
What is the closest to 0 in -881, 0.4, 5, -4/3?
0.4
What is the nearest to -1 in -0.2, -0.5, 154, 2/7?
-0.5
What is the closest to 4 in 0.3, 2, -3/5, 11?
2
What is the nearest to 1/4 in 1/27, -0.4, 1/7, 9?
1/7
Which is the nearest to 2/9? (a) 2/9 (b) 2 (c) -130
a
What is the nearest to 0 in -52, -1/5, 0.06?
0.06
Which is the closest to -1? (a) -4/7 (b) 2 (c) 3 (d) -0.74
d
What is the closest to -1/3 in -2/9, 1/2, 18?
-2/9
What is the closest to -1 in -0.061, -8, -5/6?
-5/6
What is the nearest to 2 in -0.3, -0.02, -21?
-0.02
What is the nearest to 1/5 in 0.1, -0.5, 16, 3?
0.1
Which is the nearest to 1? (a) -5 (b) 3 (c) 42
b
Which is the closest to -2/9? (a) -3/4 (b) -0.26 (c) 4 (d) -0.25
d
What is the nearest to -2 in -0.1, -1, -12, 3/5?
-1
Which is the closest to -1/32? (a) -2/21 (b) -0.4 (c) -0.5 (d) -4
a
Which is the closest to 1/4? (a) -1/5 (b) 1 (c) 0.5 (d) -10
c
Which is the closest to -1/3? (a) 1/13 (b) -0.1 (c) 4 (d) -3/5
b
What is the closest to 4/7 in -1/4, 4/9, 0.1?
4/9
What is the nearest to -2/5 in 2/5, 2, 2/9, -1?
-1
Which is the closest to 1? (a) 0.04 (b) 5 (c) -1/9
a
Which is the closest to 1? (a) -2/7 (b) 1 (c) 9 (d) -3
b
What is the nearest to -3 in 4/9, 5, -3, -3/7?
-3
Which is the closest to -0.1? (a) 1 (b) -0.1 (c) 0 (d) 6/11
b
Which is the nearest to -1? (a) 0 (b) -10 (c) -12/7 (d) 0.2
c
Which is the nearest to -2/5? (a) -3/4 (b) -9 (c) -2 (d) 4
a
What is the closest to -4 in -2, -4, -1/2, 1/2?
-4
What is the nearest to -1 in -0.02, 3, 1/3, -3?
-0.02
What is the nearest to -1 in 1, -4/5, 2, 5?
-4/5
Which is the nearest to 24/5? (a) -5/2 (b) -5 (c) 5
c
Which is the nearest to -2/3? (a) -1/109 (b) 0.3 (c) -1/3 (d) 0.4
c
Which is the nearest to 1? (a) 2/9 (b) -2/21 (c) 169/8
a
Which is the nearest to 98.3? (a) -0.5 (b) -1/4 (c) 0
c
What is the nearest to 0.2 in -0.3, 5, -12/17?
-0.3
Which is the nearest to -1.8? (a) 2/3 (b) 5 (c) 0.6
c
What is the closest to 3 in -1/6, 7, 2?
2
What is the nearest to -1/5 in 25/3, 0.4, 1/3, 0.04?
0.04
What is the nearest to -548 in -0.4, 0.06, -1/6?
-0.4
Which is the closest to -6230? (a) -0.3 (b) 3 (c) -3
c
What is the closest to 1 in 44, 4, -1/6, -1/3?
-1/6
Which is the nearest to -1/2? (a) -2 (b) 2/7 (c) 1/21 (d) -4/5
d
Which is the closest to 0? (a) -0.5 (b) -12 (c) -1 (d) -0.1
d
Which is the nearest to 5? (a) 0.4 (b) 5 (c) 5.9 (d) -0.3
b
What is the nearest to -2 in -4, 2.3, 0.5?
-4
Which is the nearest to 8.1? (a) 0.4 (b) -5 (c) 2 (d) -1/4
c
What is the nearest to 0.1 in 86, -0.4, -2?
-0.4
Which is the closest to -1? (a) -1 (b) -4/5 (c) 0.5
a
Which is the closest to 0? (a) 1 (b) 4/61 (c) -1/6
b
What is the closest to -0.1 in -0.01, 0.5, -0.5?
-0.01
Which is the nearest to -0.1? (a) 2/11 (b) 2/23 (c) 2/5 (d) -2/3
b
What is the closest to -0.1 in 8, 4, -38?
4
Which is the nearest to 3? (a) -14 (b) -2/3 (c) 4
c
What is the closest to 0 in 0.4, 4/5, -0.5, 4?
0.4
What is the nearest to -0.3 in -3/7, 2, 1.7?
-3/7
Which is the closest to 6? (a) -3/4 (b) 0.3 (c) 13 (d) -4
b
Which is the closest to 1? (a) -1 (b) -3 (c) 217
a
What is the nearest to -2/3 in -0.06, -2, 2/5, -5?
-0.06
Which is the closest to 2/21? (a) -0.3 (b) 0.1 (c) -1 (d) 2/19
b
Which is the closest to -0.1? (a) 0.57 (b) -1/3 (c) 0.2 (d) 1/4
b
Which is the closest to 1/3? (a) 2/5 (b) -2 (c) -3/5 (d) -1/5
a
What is the closest to 2/7 in 48, 5/3, 5, 1/8?
1/8
Which is the nearest to -1/3? (a) 44 (b) 0 (c) 3 (d) -5
b
Which is the nearest to 4? (a) -28/5 (b) -1/6 (c) -1/23
c
Which is the nearest to -9? (a) -5 (b) -45 (c) -1 (d) -0.2
a
What is the closest to -1 in 13, -1.3, 0.2, 0?
-1.3
What is the nearest to 0.1 in -11, -3/8, 0.1, 1?
0.1
Which is the closest to 8? (a) -5 (b) -1/7 (c) -2/17 (d) 10
d
What is the nearest to 0 in -0.1, -8, -0.4, -3?
-0.1
What is the closest to 0.1 in -24, -5, -4?
-4
What is the nearest to 2/5 in 1/4, 0.3, 0, -1/7?
0.3
Which is the closest to 2? (a) -2.8 (b) 4 (c) 0.1
c
Which is the closest to 1? (a) -9 (b) -5 (c) -2 (d) 2/11
d
Which | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of -37/32 and 15/8.
32
What is the least common multiple of 1624 and 1015?
8120
Calculate the lowest common multiple of 21 and 939.
6573
What is the lowest common multiple of 203 and 1044?
7308
Calculate the common denominator of 73/32 and 45/16.
32
Calculate the lowest common multiple of 140 and 112.
560
Calculate the lowest common multiple of 11774 and 4.
23548
What is the common denominator of 87/68 and -63/20?
340
What is the common denominator of 197/660 and -31/780?
8580
Calculate the common denominator of -73/402 and 43/6.
402
Find the common denominator of -82/585 and -13/15.
585
What is the least common multiple of 726 and 20?
7260
Calculate the common denominator of -8/1111 and 2/99.
9999
Find the common denominator of -101/10 and 119/36354.
181770
What is the common denominator of -32/333 and -29/2664?
2664
What is the common denominator of 14/1375 and 27/875?
9625
What is the common denominator of 53/210 and -53/252?
1260
Calculate the least common multiple of 11 and 25.
275
Calculate the lowest common multiple of 1368 and 494.
17784
Calculate the lowest common multiple of 609 and 319.
6699
What is the lowest common multiple of 552 and 18?
1656
What is the common denominator of 35/256 and 39/256?
256
Calculate the lowest common multiple of 90 and 70.
630
Calculate the common denominator of -69/2698 and -1/8.
10792
Find the common denominator of 3/32 and 61/10.
160
Calculate the common denominator of -37/5408 and -17/7436.
59488
What is the lowest common multiple of 63 and 105?
315
Calculate the lowest common multiple of 496 and 88.
5456
What is the least common multiple of 83 and 5?
415
What is the common denominator of -14/75 and 71/315?
1575
Find the common denominator of 143/18 and -81/160.
1440
Calculate the common denominator of 10/387 and -85/6.
774
What is the least common multiple of 52 and 50?
1300
What is the smallest common multiple of 132 and 3?
132
What is the lowest common multiple of 3 and 3?
3
Calculate the smallest common multiple of 896 and 280.
4480
Calculate the least common multiple of 63 and 3753.
26271
Find the common denominator of 23/1350 and -71/175.
9450
What is the common denominator of -5/9 and 91/4?
36
Calculate the least common multiple of 4495 and 5.
4495
What is the least common multiple of 7 and 1300?
9100
Calculate the lowest common multiple of 15 and 375.
375
What is the least common multiple of 678 and 11?
7458
What is the common denominator of -75/122 and -11/76?
4636
What is the common denominator of -21/121 and -85/88?
968
Calculate the common denominator of -93/14 and 87/1388.
9716
Find the common denominator of 17/36 and -29/2186.
39348
What is the smallest common multiple of 28 and 4921?
19684
Calculate the lowest common multiple of 297 and 6.
594
Calculate the lowest common multiple of 963 and 963.
963
What is the common denominator of 61/5 and -71/338?
1690
Calculate the common denominator of -53/175 and -55/4.
700
What is the common denominator of 151/30 and 2/13655?
81930
What is the common denominator of 75/38 and -89/1116?
21204
Calculate the smallest common multiple of 21 and 14.
42
Calculate the smallest common multiple of 6 and 84.
84
Calculate the common denominator of -59/12 and -107/490.
2940
Find the common denominator of -46/9 and -29/349.
3141
What is the least common multiple of 6237 and 495?
31185
What is the common denominator of 67/75 and -17/810?
4050
Calculate the smallest common multiple of 48 and 14.
336
Calculate the common denominator of 151/66 and 27/22.
66
Calculate the lowest common multiple of 60 and 3642.
36420
What is the common denominator of 33/371 and -51/56?
2968
Calculate the common denominator of 43/22 and 29/8.
88
What is the lowest common multiple of 7336 and 11528?
80696
Calculate the common denominator of -113/100 and -19/40.
200
What is the lowest common multiple of 112 and 56?
112
Calculate the common denominator of -67/6 and 151/54.
54
Calculate the common denominator of -181/990 and 67/22.
990
Calculate the common denominator of 9/8 and 99/1198.
4792
What is the lowest common multiple of 7203 and 10290?
72030
What is the lowest common multiple of 799 and 9?
7191
Find the common denominator of -8/147 and -107/234.
11466
What is the smallest common multiple of 15 and 84?
420
What is the common denominator of 37/18 and -41/124?
1116
What is the least common multiple of 414 and 1458?
33534
Calculate the smallest common multiple of 60 and 48.
240
What is the least common multiple of 30 and 8130?
8130
Find the common denominator of -25 and -53/87.
87
What is the smallest common multiple of 578 and 867?
1734
What is the lowest common multiple of 280 and 472?
16520
Calculate the lowest common multiple of 1702 and 253.
18722
What is the least common multiple of 3429 and 648?
82296
What is the common denominator of 43/632 and 51/10?
3160
Find the common denominator of 7/27 and -113/18.
54
Find the common denominator of 5/18 and 29/378.
378
Calculate the common denominator of 67/360 and -55/84.
2520
Find the common denominator of 11/5226 and 133/5226.
5226
Calculate the smallest common multiple of 2 and 30.
30
Calculate the lowest common multiple of 63582 and 9.
190746
What is the lowest common multiple of 21 and 87?
609
What is the lowest common multiple of 246 and 205?
1230
Calculate the common denominator of -11/20 and 47/5022.
50220
What is the least common multiple of 63 and 63?
63
Find the common denominator of -125/108 and -113/360.
1080
Calculate the smallest common multiple of 60 and 84.
420
Find the common denominator of -46/2205 and 187/60.
8820
What is the smallest common multiple of 144 and 1888?
16992
What is the smallest common multiple of 2738 and 18?
24642
What is the least common multiple of 54 and 8685?
52110
What is the smallest common multiple of 1 and 20871?
20871
Find the common denominator of -63/265 and -29/530.
530
What is the smallest common multiple of 6 and 25?
150
Calculate the least common multiple of 6530 and 5877.
58770
What is the least common multiple of 319 and 6?
1914
Calculate the smallest common multiple of 4 and 19694.
39388
Calculate the lowest common multiple of 21 and 9.
63
Calculate the least common multiple of 218 and 108.
11772
What is the least common multiple of 18 and 436?
3924
What is the common denominator of 1/160 and 169/120?
480
Calculate the common denominator of 115/14 and 51/22.
154
What is the lowest common multiple of 52 and 338?
676
Find the common denominator of 36/733 and -63/10.
7330
Calculate the common denominator of -127/7250 and 33/80.
58000
What is the common denominator of -81/6178 and 119/10?
30890
What is the common denominator of 17/135 and 85/12?
540
What is the common denominator of 33/20 and 43/35?
140
Find the common denominator of 89/6105 and -43/3885.
42735
Calculate the smallest common multiple of 3170 and 1585.
3170
Calculate the common denominator of -97/12 and 81/196.
588
Find the common denominator of 37/10 and -15/646.
3230
What is the common denominator of -59/16 and 7/3800?
7600
Find the common denominator of -1/36 and 113/132.
396
Calculate the least common multiple of 252 and 56.
504
Calculate the smallest common multiple of 549 and 61.
549
Calculate the least common multiple of 80 and 210.
1680
Calculate the lowest common multiple of 121 and 44.
484
Find the common denominator of 36/5 and 30/551.
2755
Calculate the lowest common multiple of 270 and 1566.
7830
Calculate the least common multiple of 16 and 1104.
1104
What is the common denominator of 173/14364 and -11/3?
14364
Calculate the common denominator of 45/7 and -39/385.
385
What is the least common multiple of 40 and 180?
360
What is the least common multiple of 24 and 264?
264
Calculate the common denominator of 26 and 44/227.
227
What is the common denominator of -31/51 and 3/23?
1173
Calculate the lowest common multiple of 30 and 695.
4170
Calculate the smallest common multiple of 44 and 744.
8184
Calculate the smallest common multiple of 22 and 198.
198
What is the lowest common multiple of 980 and 1666?
16660
Calculate the smallest common multiple of 10 and 5.
10
Find the common denominator of -49/246 and -31/12.
492
Find the common denominator of 131/12 and 44/113.
1356
What is | {
"pile_set_name": "DM Mathematics"
} |
.
1/30
What is prob of picking 2 e, 1 j, and 1 n when four letters picked without replacement from {n: 2, j: 1, y: 1, u: 4, e: 2, c: 2}?
2/495
Two letters picked without replacement from {h: 2, k: 2, p: 3, a: 6, w: 4}. What is prob of picking 1 p and 1 k?
3/68
Four letters picked without replacement from fffcjjcccf. Give prob of picking 1 j, 1 c, and 2 f.
8/35
Two letters picked without replacement from {y: 1, n: 5, s: 5}. What is prob of picking 1 y and 1 s?
1/11
Calculate prob of picking 1 u, 1 o, 1 m, and 1 p when four letters picked without replacement from {m: 1, u: 4, o: 4, p: 2}.
16/165
What is prob of picking 1 w and 1 t when two letters picked without replacement from poofttfofcwwwfoffpw?
8/171
Two letters picked without replacement from {i: 14, p: 1}. What is prob of picking 1 i and 1 p?
2/15
Calculate prob of picking 3 a when three letters picked without replacement from aakabaabbabbaaaaaia.
220/969
Four letters picked without replacement from {w: 3, s: 2, h: 4, v: 1, j: 1}. What is prob of picking 3 h and 1 v?
2/165
Four letters picked without replacement from eejvvveeeeevj. What is prob of picking 1 j, 2 v, and 1 e?
84/715
What is prob of picking 1 g and 1 o when two letters picked without replacement from {g: 2, o: 4}?
8/15
Three letters picked without replacement from {i: 2, x: 2, c: 1, e: 2, v: 7, z: 2}. What is prob of picking 1 e, 1 z, and 1 i?
1/70
What is prob of picking 1 m, 2 q, and 1 p when four letters picked without replacement from {v: 1, p: 1, m: 2, q: 2, w: 1}?
2/35
Two letters picked without replacement from vooovooooovoovoooo. What is prob of picking 1 v and 1 o?
56/153
Four letters picked without replacement from azzcccaaacczcz. What is prob of picking 3 a and 1 z?
16/1001
Three letters picked without replacement from {i: 7, n: 3, c: 1, r: 2, a: 3, h: 1}. Give prob of picking 1 c, 1 h, and 1 a.
3/680
Two letters picked without replacement from {n: 3, t: 17}. Give prob of picking 2 n.
3/190
Two letters picked without replacement from mmqqqmmmmmqihi. Give prob of picking 1 h and 1 m.
1/13
Two letters picked without replacement from {b: 3, m: 2, k: 3, l: 3, g: 2, a: 1}. What is prob of picking 1 b and 1 l?
9/91
Calculate prob of picking 3 g and 1 d when four letters picked without replacement from ggggdddgggggdg.
480/1001
Two letters picked without replacement from ymtvatym. What is prob of picking 1 t and 1 m?
1/7
Three letters picked without replacement from {y: 1, h: 1, v: 1, l: 2, r: 11}. Give prob of picking 1 v, 1 l, and 1 h.
1/280
Calculate prob of picking 2 y and 1 h when three letters picked without replacement from vgyhygo.
1/35
Three letters picked without replacement from {c: 1, p: 2, a: 3, o: 2, n: 3, d: 1}. What is prob of picking 1 c, 1 p, and 1 o?
1/55
What is prob of picking 1 h and 1 d when two letters picked without replacement from dlhji?
1/10
Three letters picked without replacement from {g: 2, l: 1, j: 4, d: 1, i: 3}. What is prob of picking 1 g and 2 i?
2/55
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from jkfrkvroj.
1/9
Calculate prob of picking 2 e when two letters picked without replacement from {w: 4, x: 1, e: 5}.
2/9
Calculate prob of picking 3 o and 1 f when four letters picked without replacement from fomomfmmmmfomfomm.
4/595
Calculate prob of picking 1 p, 2 g, and 1 w when four letters picked without replacement from {w: 8, h: 5, g: 2, c: 2, p: 2}.
4/969
Four letters picked without replacement from vvdtaqdvdqvvvdvds. Give prob of picking 1 q, 2 d, and 1 a.
1/119
Four letters picked without replacement from hhhhphhphhhhhhhhph. What is prob of picking 3 h and 1 p?
91/204
What is prob of picking 3 i when three letters picked without replacement from iirinriiririirnir?
21/170
Two letters picked without replacement from kzzzzzzkzzzz. What is prob of picking 2 z?
15/22
Calculate prob of picking 1 e and 2 q when three letters picked without replacement from euqseeeqqqqqqqguq.
18/85
Four letters picked without replacement from {o: 16, l: 4}. What is prob of picking 4 o?
364/969
What is prob of picking 1 o and 1 z when two letters picked without replacement from uohkhzz?
2/21
Three letters picked without replacement from {j: 8, h: 3, i: 2, d: 2}. What is prob of picking 2 h and 1 j?
24/455
Four letters picked without replacement from eqeqyyqymyyeeeyqeeq. Give prob of picking 2 q and 2 y.
25/646
Calculate prob of picking 3 m and 1 x when four letters picked without replacement from mmgxxmmmx.
5/21
Two letters picked without replacement from uaaaaxaaaaxaaabxaab. Give prob of picking 1 b and 1 a.
26/171
Two letters picked without replacement from {o: 4, n: 1, p: 4, e: 6}. What is prob of picking 1 o and 1 n?
4/105
What is prob of picking 3 e when three letters picked without replacement from {l: 4, e: 3}?
1/35
Two letters picked without replacement from lwehew. Give prob of picking 2 w.
1/15
Three letters picked without replacement from qqqqvqqv. What is prob of picking 3 q?
5/14
What is prob of picking 2 u and 1 q when three letters picked without replacement from uqhgsquw?
1/28
Calculate prob of picking 2 p when two letters picked without replacement from pheehpep.
3/28
Three letters picked without replacement from {d: 2, a: 4, q: 5}. Give prob of picking 1 q, 1 d, and 1 a.
8/33
Four letters picked without replacement from {l: 3, o: 1, s: 1, f: 2}. What is prob of picking 2 f, 1 l, and 1 s?
3/35
What is prob of picking 1 z and 1 b when two letters picked without replacement from lllffllbflfllllzllf?
1/171
What is prob of picking 1 t and 2 m when three letters picked without replacement from {m: 2, t: 7, r: 5, o: 1, z: 1}?
1/80
Three letters picked without replacement from kubuurc. Give prob of picking 1 r and 2 u.
3/35
Two letters picked without replacement from ruoeduo. Give prob of picking 2 r.
0
Two letters picked without replacement from {s: 11, w: 9}. What is prob of picking 1 s and 1 w?
99/190
Two letters picked without replacement from {j: 1, p: 3}. Give prob of picking 2 p.
1/2
Calculate prob of picking 3 x and 1 p when four letters picked without replacement from {l: 1, x: 3, p: 1}.
1/5
Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {v: 1, n: 2, r: 1}.
1/6
What is prob of picking 1 l and 1 d when two letters picked without replacement from dtlld?
2/5
Two letters picked without replacement from {q: 2, a: 11}. What is prob of picking 2 a?
55/78
Two letters picked without replacement from nkrvrqrsqvnr. Give prob of picking 1 r and 1 v.
4/33
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {g: 4, z: 1, o: 5, l: 1}.
4/55
Four letters picked without replacement from kvvvvhkdkddvhdd. Give prob of picking 1 d, 2 v, and 1 h.
20/273
Calculate prob of picking 1 a, 1 h, and 1 w when three letters picked without replacement from {h: 1, f: 1, s: 4, a: 2, w: 1}.
1/42
Calculate prob of picking 2 i when two letters picked without replacement from {x: 2, i: 2}.
1/6
Four letters picked without replacement from {o: 5}. What is prob of picking 4 o?
1
Two letters picked without replacement from qxhxqqxxgqqer. What is prob of picking 1 q and 1 e?
5/78
Calculate prob of picking 2 l when two letters picked without replacement from lfffftffflyffbtlf.
3/136
Calculate prob of picking 1 j, 1 r, and 1 y when three letters picked without replacement from {j: 1, t: 1, x: 1, f: 2, r: 1, y: 1}.
1/35
Two letters picked without replacement from ncnxxxfcrxxn. What is prob of picking 1 x and 1 c?
5/33
What is prob of picking 3 e when three letters picked without replacement from eeyeyyyy?
1/56
Two letters picked without replacement from pvmvxvvvvvivivipvi. What is prob of picking 1 i and 1 x?
4/153
Four letters picked without replacement from rvttrvtvttrtvrtrt. Give prob of picking 1 t, 1 v, and 2 r.
16/119
What is prob of picking 1 h and 1 q when two letters picked without replacement from {h: 11, q: 2}?
11/39
Three letters picked without replacement from ygyvkggggy. Give prob of picking 2 g and 1 y.
1/4
What is prob of picking 1 f and 2 t when three letters picked without replacement from {f: 4, t: 3}?
12/35
Three letters picked without replacement from {u: 9, j: 4, z: 3, i: 2}. What is prob of picking | {
"pile_set_name": "DM Mathematics"
} |
hat are the prime factors of (j/(-2))/(2/(-4))?
13
Suppose -3*z - 4*o + 63 = -o, -2*z + 5*o = -70. What are the prime factors of z?
5
Let a = -6 - -3. Let u be 1/(((-3)/a)/(-7)). List the prime factors of (u/(-21))/(1/39).
13
Suppose -61 = -5*k - 2*c, 4*k = -4*c - 12 + 68. Suppose 3*b - 16 = m + k, -b + 4*m + 20 = 0. Suppose b - 20 = -w. What are the prime factors of w?
2, 3
Let l(o) = -8*o - 5. Let x be l(-4). Suppose -3 + x = -3*p. Let r(j) = -j**2 - 8*j + 11. What are the prime factors of r(p)?
11
Let q(r) = -r**3 + 4*r**2 + r. Let w be q(4). Let x be (-3)/(-6)*w + 2. Let l = x + -1. List the prime factors of l.
3
Let f be (-30)/(-8) - 1/(-4). Let k(c) = -c**3 + 6*c**2 - 5*c + 3. What are the prime factors of k(f)?
3, 5
Let l = -7 + 7. Suppose 0 = -4*j, 3*v + 5*j - 36 = -l*j. List the prime factors of v.
2, 3
Suppose 0 = -4*o + 7 - 43. List the prime factors of (-19)/(-2) + o/(-6).
11
Let j(f) = f + 15. Let a be (-12)/54 + 32/(-18). Let k(y) = y + 16. Let s(o) = a*j(o) + 3*k(o). List the prime factors of s(-9).
3
Let u be 2/5 - 240/(-25). Suppose 0 = j - 5, -7*j = -4*x - 2*j - 25. Suppose x*r - 2*r + u = 0. What are the prime factors of r?
5
Let n = 5 - -3. List the prime factors of n.
2
Suppose -10*s + 5*s = 280. Let p = s + 93. What are the prime factors of p?
37
List the prime factors of 3/(1 - 10/15).
3
Let n be (1/3)/(-1)*3. Let s(l) = -4*l**3 + l**2 + 2*l + 1. What are the prime factors of s(n)?
2
Let p(t) = -t**2 + 9*t + 12. Let u be p(10). What are the prime factors of (u/(-2))/((-2)/24)?
2, 3
Suppose 43 = 4*k - v, -2*k + 6*k - 5*v - 39 = 0. List the prime factors of k.
11
Let c be (-2)/6 + (-20)/(-6). Suppose 0 = -2*p - c*p + 30. List the prime factors of p.
2, 3
Let d be 2/3*36/(-4). Let q(a) = a**2 + 3*a. List the prime factors of q(d).
2, 3
Suppose -3*o = -5*s + 19 + 6, -35 = -5*s + o. What are the prime factors of s?
2
Let f = 42 - 11. What are the prime factors of f?
31
Let z(b) = -b**3 + 12*b**2 + 2. Let x be z(12). Let u(s) = -6 + s - 5*s**2 - 2*s**2 - s**3 + 3*s**x. List the prime factors of u(-5).
2, 7
Suppose -2 = -v - 3. List the prime factors of (-301)/(-14) - v/2.
2, 11
Let n = -54 + 28. Suppose 22*m + 60 = 18*m. Let s = m - n. List the prime factors of s.
11
Suppose 2*r = -r + 9. Suppose -r*c - 2*i = -3*i - 71, -12 = -c - 2*i. List the prime factors of c.
2, 11
List the prime factors of ((-414)/12)/(1/(-4)).
2, 3, 23
List the prime factors of 105 + -2 + (5 - 2).
2, 53
Let o be (3 + -6)*(-4)/(-3). Let m(r) = r + 7. What are the prime factors of m(o)?
3
Let y = -48 + 71. What are the prime factors of y?
23
What are the prime factors of 12/8*64/3?
2
What are the prime factors of 54 + -7 + (0 - 3)?
2, 11
Suppose -4*i = -b + 61, 2*b - 122 = -0*i - 5*i. List the prime factors of b.
61
Suppose -i = 5*d - 12 - 2, -4*i = 5*d - 11. Let f = d - 5. Let h = f + 7. What are the prime factors of h?
5
Let u be ((-5)/10)/(2/152). Let m be (u/1)/(5 + -7). Let d = 31 - m. What are the prime factors of d?
2, 3
Let r be ((-2)/(-4))/((-2)/(-24)). Suppose 3*s - r = 12. What are the prime factors of s?
2, 3
Suppose 2*t = -4*y - 38, -y - 20 = -4*t + 12. What are the prime factors of 18/y*(-76)/6?
19
Suppose -2*x = -3*x + 130. List the prime factors of x.
2, 5, 13
Let j = 3 + -2. Let i(h) = 2*h**3 + 5*h**3 + 4*h**3. What are the prime factors of i(j)?
11
Let c be (6 - 8)/(2/(-3)). Suppose 0*w - 2*w = 4*q - 80, -c*q = -2*w - 67. List the prime factors of q.
3, 7
Suppose -i - i + 16 = 5*b, -b + 2*i - 4 = 0. Let m be 0 - 4/(b*-1). Let x = 13 - m. What are the prime factors of x?
11
Let x(p) = 10*p**3 + 2*p + 1. Let z be x(-1). List the prime factors of (-152)/z - 8/(-44).
2, 7
Suppose -3*p + 94 = a - 6*p, 4*a + 4*p = 376. Suppose 33 = 2*g + 5*s, -a = -g - 4*g - s. What are the prime factors of g?
19
Let d be 2/((-12)/9 - -2). Let o(b) = -2*b**d - 1 - 3*b - b**3 + b. List the prime factors of o(-1).
2
Suppose -4*z + t + 45 = 0, -4*z - 25 = -5*z + 3*t. List the prime factors of z.
2, 5
Suppose -c + 4*m = -37, 4*c - m - 122 = 2*m. List the prime factors of c.
29
Let m(v) = -5 + 3*v - v + v**2 - 8*v - 2. List the prime factors of m(9).
2, 5
List the prime factors of (3/3)/((-1)/(-33)) - 3.
2, 3, 5
Suppose -b = s - 12, 2*s + 4*b + 0*b = 24. What are the prime factors of s?
2, 3
Let b(y) = 2*y - 1. Let u be b(2). Suppose u*l = 2*p, -6*l + l = 5*p + 25. List the prime factors of (5/15)/(l/(-42)).
7
Suppose 23 + 17 = 4*t. Suppose -6*v + t = -v. What are the prime factors of v?
2
What are the prime factors of -1 - -40 - (7 - 5)?
37
Let h = -3 + 13. List the prime factors of h.
2, 5
Suppose 4*w - 2*j - 135 = -9, 5*w - 3*j - 156 = 0. List the prime factors of w.
3, 11
Suppose 5*v + 19 = -i, -v - 2*i + 1 = 12. Let w(h) = -h**3 - 5*h**2 - 2*h - 1. Let a be w(-5). Let o = a - v. What are the prime factors of o?
2, 3
Let k(a) = 2*a**2 + 2*a - 13. What are the prime factors of k(-6)?
47
Let h be 10/(-2)*(-5 + 4). Suppose 0 = -v - v + 2*d + 74, h*v + 5*d = 235. List the prime factors of v.
2, 3, 7
Suppose -3*i + 12 = -i. Suppose -10*l = -7*l - i. What are the prime factors of l?
2
Suppose 0 = 2*w - 44 + 6. What are the prime factors of w?
19
Let c = 33 - -56. List the prime factors of c.
89
Let y(m) = m - m + 2*m + 6. List the prime factors of y(5).
2
Let o = -77 - -123. List the prime factors of o.
2, 23
Let o(s) = 2*s**2 + s + 1. Let n be o(-1). Suppose n*z = 18 + 10. List the prime factors of z.
2, 7
Suppose g = -4*g + 5. Let f be 1/2 + g/(-2). Suppose f = 5*v + 19 - 49. What are the prime factors of v?
2, 3
Suppose -4*n = f - 685, 5*n = -3*f + 917 - 52. What are the prime factors of n?
2, 5, 17
What are the prime factors of -36*(-3*(-2)/(-8) + -3)?
3, 5
Suppose -2*f = -6*f + 284. Suppose 4*r + 43 = 3*q, -4*q + 5*r + f = 13. Suppose 3*t = -2*n + q - 5, 4*n - 24 = -4*t. List the prime factors of n.
2, 3
Let j(z) = 3*z - 4*z - z - 1 + 2 + 2*z**2. Let r be j(1). List the prime factors of ((-1)/3)/(r/(-6)).
2
Suppose -o - 1 = -10. What are the prime factors of 2/(1 - o/11)?
11
Suppose -4*a = -5*a + 43. List the prime factors of a.
43
Let k(m) = -m + 3*m + 3*m**2 - 2 + m + 0*m. What are the prime factors of k(-3)?
2
Let a(d) = 5*d**2 + 1 - 70*d**2 - 6*d**2 - 24*d**2. Let g be a(-1). List the prime factors of g/(-8) - (-3)/12.
2, 3
Suppose -587 + 119 = -3*l. List the prime factors of l.
2, 3, 13
Suppose 3*l - 2*x = 25, 5*l + x + 9 = 55. List the prime factors of l.
3
Suppose -3*u = -2*u + 5. Let q be 1 + u/((-15)/(-12)). What are the prime factors of (39/(-9) + -1)*q?
2
Suppose z - 1068 = -5*z. List the prime factors of z.
2, 89
Suppose p - 2 - 6 = 0. List the prime factors of p.
2
Let b(y) = 4*y + 10. What are the prime factors of b(7)?
2, 19
Let j(i) = -i**2 - 9*i - 5. Let c be j(-9). Let p be (-43)/c - (-2)/5. What are the prime factors of (-46)/(-6) - 6/p?
7
Let u(x) = -x - 2 + x**2 - 1 + 2*x. Let f be u(4). Let z = f - 11. List the prime factors of z.
2, 3
Let s = -10 + 10. Suppose s = -0*u - 5*u + 75. What are the prime factors of u?
3, 5
Let t(i) = -6*i - 2. Let o(n) = -5*n - 1. Let m(w) = -3*o(w) + 2*t(w). What are the prime factors of m(3)?
2
Let o(w) = 4*w - 4*w + 3*w. Suppose l + 2*r = 2*l + 6, 2*r = 5*l - 2. List the prime factors of o(l).
2, 3
Let w(z) = -16*z**3 + 4*z**2 + 4*z + 3. List the prime factors of w(-2).
139
Suppose -2*a = 3*b, 5*b - a = -2*a. Suppose b = 4*w + w - 175. Suppose 0 = 4*r - 13 - w. What are the prime factors of r?
2, 3
Let a(d) = -6*d**2 - 10*d + 13. Let y(t) = t**2 - 1. Let i(r) = a(r) + 5*y(r). What are the prime factors of i(-10)?
2
Suppose -2*s + g + 4 = -6, -2*s + 2*g + 12 = 0. Let m(h) = -h**2 + 6*h - 1. What are the prime factors of m(s)?
7
Let p(i) = -i**3 + 2*i**2 + 4*i - 3. Let a be p(3). Suppose a = 3*t - 5*m - 124, 3*t = -3*m - 0*m + 156. List the prime factors of t.
2, 3
Let t(i) = -i**2 - 7*i - 7. Let z be t(-5). Let f(l) = l**2 - 2*l - 4. Let o be f(6). Suppose -2*b = -d + 2*b - 8, -z*b + o = d. List the prime factors of d.
2
Let t = 9 - 5. Let s = t - -5. List the prime factors of s.
3
Let g(r) = -63*r - 27. What are the prime factors of g(-3)?
2, 3
Let y = 9 + -6. Suppose 5*x - 29 = 2*n, -2*x - x + 21 = -y*n. List the prime factors of 3/(-2) + (-41)/n.
19
Suppose -5*q + 5*f = -0*q - 280, f = 4. What are the | {
"pile_set_name": "DM Mathematics"
} |
**2 wrt t.
2*j**2 - 316
Differentiate 120*r**2 - 2*r - 30.
240*r - 2
Find the third derivative of -8*a**2*i**6 + 91*a**2*i**2 + a**2 - 25*a*i**6 wrt i.
-960*a**2*i**3 - 3000*a*i**3
Find the third derivative of 351*q**3*u - q**2*u - 6*q**2 - 6 wrt q.
2106*u
What is the third derivative of 3*g**3*m*v**3 + 5*g**3*m*v**2 - 9*g**3 + 2*g**2*m + 34*g**2 - g*m*v**3 wrt g?
18*m*v**3 + 30*m*v**2 - 54
Differentiate 8053*u**3 + 887 wrt u.
24159*u**2
Find the second derivative of -1197*n**2 + 2*n - 258.
-2394
What is the first derivative of a*k**2*m**2 + 5*a*k**2*m - 302*k**2*m**2 wrt a?
k**2*m**2 + 5*k**2*m
Find the second derivative of 2*a**2*b*g**2 - 2*a**2*b*g - 2*a**2*b + 184*a**2*g + 492*a*b*g**2 + b*g**2 + 2*b*g + 7*g wrt g.
4*a**2*b + 984*a*b + 2*b
Find the first derivative of -x**3 + 5*x**2 + 186*x - 5257 wrt x.
-3*x**2 + 10*x + 186
Differentiate -2*p*z**2 - 3*p*z - 85*p + 2053*z**2 with respect to p.
-2*z**2 - 3*z - 85
What is the second derivative of 857*o*y**2 + 2*o*y - 731*o wrt y?
1714*o
Differentiate b*m**2 + 359*b - 3*m**4 - 2*m**2 wrt m.
2*b*m - 12*m**3 - 4*m
Find the third derivative of 3*q**4*z**3 + 100*q**4*z**2 + 2*q**2*z + 392*q*z**3 wrt q.
72*q*z**3 + 2400*q*z**2
Differentiate -127*k**4 + 2*k + 530.
-508*k**3 + 2
What is the third derivative of -5*g**4*j - 199*g**3*j - 1876*g**2*j wrt g?
-120*g*j - 1194*j
Find the third derivative of 2*c**2*i**3 - 22*c**2*i**2 - 22*c**2 - 1473*i**4 + i**2 wrt i.
12*c**2 - 35352*i
Find the second derivative of 1224*n**2 - 2529*n wrt n.
2448
Find the third derivative of -2261*m**6 + 2083*m**2.
-271320*m**3
Differentiate 10224*c**3*d**2 + 15*d**2 - 51 with respect to c.
30672*c**2*d**2
Differentiate 897*g**2*m**3 - 2*g**2*m + 1436*m**3 - m**2 with respect to g.
1794*g*m**3 - 4*g*m
Find the third derivative of 47*c**3 + 136*c**2.
282
Differentiate -201*t**2 - 137 with respect to t.
-402*t
Find the second derivative of 13*d**2*t**3 - 49*d**2*t**2 + 2*d**2*t - 2*d + 3*t**3 - t**2 - t wrt d.
26*t**3 - 98*t**2 + 4*t
What is the derivative of -195*d**4 + 263 wrt d?
-780*d**3
What is the derivative of -5*q*s**3*w**2 - q*w**3*x - 4*q*w**3 + 21*s**3*w**3*x + 4*s**3*w**2*x - s**2*w*x wrt q?
-5*s**3*w**2 - w**3*x - 4*w**3
What is the third derivative of -567*c*n**4 - 2*c*n**3*p + 2*c*n*p - 32*n**2 - 2*n*p - 4*n wrt n?
-13608*c*n - 12*c*p
What is the first derivative of 1484*l - 865?
1484
Find the third derivative of 22*l**4 - 9*l**3 + 741*l**2.
528*l - 54
Differentiate -b**3*i + 5*b**3 + 7*b**2 + 357*i**4 with respect to i.
-b**3 + 1428*i**3
What is the first derivative of 1520*j**3 + 1604?
4560*j**2
Find the third derivative of -35*f**6 - 5*f**2 - 1 wrt f.
-4200*f**3
What is the second derivative of 9132*i**2*p**3 - i*p**3 - 2*i*p**2 - 3657*i*p wrt i?
18264*p**3
Find the first derivative of -10*b*f*q - b*f + 4*f*q - q + 8 wrt b.
-10*f*q - f
What is the first derivative of -11*g**2*w + 5*g**2 + 156*w - 2249 wrt w?
-11*g**2 + 156
What is the third derivative of 339*k**3*q - 2*k**2*q - 3*k**2 wrt k?
2034*q
Find the first derivative of -7*g**2 - 13*g + 325 wrt g.
-14*g - 13
Find the second derivative of -2*q**2*x**2 + 157*q**2*x - 33*q*x**2 + 2*q*x - 3*x wrt q.
-4*x**2 + 314*x
Differentiate 2*i**4*m - i**3*m + 311*i**2*m + 7527*m wrt i.
8*i**3*m - 3*i**2*m + 622*i*m
Find the second derivative of -14*c*j**2*n + c*r**3 + j**2*n*r**2 - j**2*r**3 + 3*j*n - 2*n*r**3 + 2*n*r**2 - 2*n wrt j.
-28*c*n + 2*n*r**2 - 2*r**3
Differentiate 5*b**3*p*q*z + 29*b**3*p*z - b**3*q - 15*b*q*z - p*q - q*z with respect to p.
5*b**3*q*z + 29*b**3*z - q
Differentiate 5988*b**3 + b**2*s - 9181*s with respect to b.
17964*b**2 + 2*b*s
Find the second derivative of -12*q**3 + 6*q**2 - 18*q + 3 wrt q.
-72*q + 12
Find the third derivative of -458*m**3*y**2 - 2*m**2*y**2 - 11*m*y**2 + y wrt m.
-2748*y**2
Find the second derivative of -2*a**2*f**2*h - a**2*f*h - 2*a*f + 3*a + 304*f**2*h**3 + 2*h**3 wrt f.
-4*a**2*h + 608*h**3
Find the third derivative of -54*a**5 + 3*a**4 - 6*a**2 + 17.
-3240*a**2 + 72*a
What is the second derivative of -9*f**4 + 19*f**3 - 2*f**2 - 15612*f?
-108*f**2 + 114*f - 4
What is the third derivative of -14652*d**3 - 20*d**2 + 144*d + 1?
-87912
What is the third derivative of 71*d**3 - 112*d**2?
426
What is the second derivative of u**3 + 45*u**2 + 171*u wrt u?
6*u + 90
Differentiate -a**4*t**3 + 1138*a**4*t + a - t**3 + 1691 wrt a.
-4*a**3*t**3 + 4552*a**3*t + 1
What is the second derivative of 29*i**2*p*s**2 + 19*i**2*s**2 - 4*i*s - 264*p*s**2 + s**2 wrt i?
58*p*s**2 + 38*s**2
What is the first derivative of 1126*y + 1168 wrt y?
1126
What is the derivative of -156*z**3 + 1713?
-468*z**2
What is the third derivative of -2127*d**5 + 83*d**2 + 2*d wrt d?
-127620*d**2
Differentiate 8*q**3 - 21*q**2 + 2281.
24*q**2 - 42*q
Find the second derivative of -2876*v**2 - 273*v.
-5752
What is the second derivative of -61*k**2*n**2 - 51*k**2*n + 2*k*n**3 - 5*k*n + 4*n**3 + 2*n wrt n?
-122*k**2 + 12*k*n + 24*n
Find the second derivative of -6*n**5 - 45*n.
-120*n**3
What is the third derivative of -8*l**4 + 3*l**3 + 38*l**2 wrt l?
-192*l + 18
Find the first derivative of -4*i**3*s + 15*i**2*s - 102*s wrt i.
-12*i**2*s + 30*i*s
Find the second derivative of -59*j**3 - 6*j**2 + 3*j - 5 wrt j.
-354*j - 12
What is the second derivative of -259*u**2 - u - 182 wrt u?
-518
What is the derivative of -51*x**4 - x**2 + 97?
-204*x**3 - 2*x
What is the second derivative of 3*j**5 + 92*j**2 + 17*j - 4?
60*j**3 + 184
Find the third derivative of -1072*k**3 + 73*k**2 wrt k.
-6432
Find the third derivative of -2*c*p**3 - 42*c + 770*p**3 + 11*p**2 - 2*p wrt p.
-12*c + 4620
What is the third derivative of -2*m*y**3*z**2 + 4*m*y**3 - 19*m*y**2*z**2 - 16*m*y**2*z + 17*y**3 wrt y?
-12*m*z**2 + 24*m + 102
Find the third derivative of x**5 + 2*x**4 + 454*x**3 + x**2 - 2191*x - 1 wrt x.
60*x**2 + 48*x + 2724
Find the second derivative of -28*g**4 + 1116*g.
-336*g**2
What is the third derivative of -3*h*n**3*w**2 - 16*h*n**3*w + 2*h*n**2*w**2 + 98*h*w**2 + 5*n**3*z - 2*n**2*w**2*z + n*w**2*z - 2*z wrt n?
-18*h*w**2 - 96*h*w + 30*z
Find the third derivative of -p**6 - 25*p**4 - 238*p**2.
-120*p**3 - 600*p
Find the first derivative of 127*f - 143 wrt f.
127
What is the second derivative of 14146*y**3 + 14284*y wrt y?
84876*y
What is the second derivative of 3*l**2*z**3 + l**2*z**2 - 225*l**2*z - 6*z**3 - 2*z wrt z?
18*l**2*z + 2*l**2 - 36*z
What is the third derivative of -8016*o**4 + 598*o**2 - o + 3?
-192384*o
Find the third derivative of 220*g**3 + 205*g**2.
1320
Find the third derivative of 3*c*q**3 + 2*c*q**2*r + 8*c*q**2 + 2*c - 4*q**4*r - 2*q**4 - 2*q**3 wrt q.
18*c - 96*q*r - 48*q - 12
Find the second derivative of -193*o**4 - 264*o wrt o.
-2316*o**2
Differentiate 93*q**2*s**3 + 2*q**2 - 1022*q - s**3 wrt s.
279*q**2*s**2 - 3*s**2
What is the second derivative of -234*z**3 - 23*z?
-1404*z
Find the third derivative of 55*v**6 + 107*v**2.
6600*v**3
Find the third derivative of n*v**2*w + 2*n*w**4 - 22*n*w - 2*v**2*w**3 + 41*w**4 + 5*w**2 + 2 wrt w.
48*n*w - 12*v**2 + 984*w
What is the derivative of -48*a*b*j**3 - 3*a*b*j + 140*a*h*j**2 + 15*a*h + 2*a*j**3 - 2*b*h*j**2 wrt b?
-48*a*j**3 - 3*a*j - 2*h*j**2
Differentiate m**4*u - 9*m**4 - u + 37 wrt m.
4*m**3*u - 36*m**3
What is the derivative of -1294*u**4 - 7*u - 7421?
-5176*u**3 - 7
What is the derivative of 10*f**2 - 16*f + 1145?
20*f - 16
What is the second derivative of -3770*p*r**2 - 2*p*r + 12*p + 11*r + 2 wrt r?
-7540*p
What is the third derivative of 4*d**3*k*o**3 + 61*d**3*k*o**2 + d**3*o - 155*d*k*o**3 - 5*d*k wrt o?
24*d**3*k - 930*d*k
Find the second derivative of -3*b**4*v + 206*b**3*v + 5*b*v + 60*v wrt b.
-36*b**2*v + 1236*b*v
What is the second derivative of 1784*w**2*x - 2*w*x + x - 165 wrt w?
3568*x
What is the second derivative of 201*d**3*w**2 - 6*d**3 + 2*d*w - 4*d wrt w?
402*d**3
Find the second derivative of 46*t**3 - 2*t**2 + 1653*t wrt t.
276*t - 4
Differentiate -g*l*x**2 - 3*g*l*x + 3*g*l + 14*g*s - 2*l*s*x**2 + l*x**2 - 74*s*x + 2*x**2 with respect to g.
-l*x**2 - 3*l*x + 3*l + 14*s
What is the first derivative of 145*g**2*x**2 - 2*g**2*x + 3*g**2 + g*x**3 + 103*g wrt x?
290*g**2*x - 2*g**2 + 3*g*x**2
Differentiate -1960*a**2*q + 5546*a**2 wrt q.
-1960*a**2
What is the second der | {
"pile_set_name": "DM Mathematics"
} |
f sequence teex?
1/252
What is prob of sequence ffo when three letters picked without replacement from {o: 1, f: 5, a: 1, y: 2}?
5/126
Calculate prob of sequence hooh when four letters picked without replacement from hohhhhohhhhhhhoh.
3/140
Two letters picked without replacement from {p: 2, b: 7, u: 3, j: 4, n: 3}. Give prob of sequence bj.
14/171
Three letters picked without replacement from wwwwwwnwwn. Give prob of sequence wnn.
1/45
Two letters picked without replacement from pwdpwpppppwpdwpp. Give prob of sequence dp.
1/12
Calculate prob of sequence dp when two letters picked without replacement from {d: 2, g: 2, p: 1, q: 1}.
1/15
Four letters picked without replacement from fnyyyffnyyvynn. What is prob of sequence yvff?
3/2002
Four letters picked without replacement from plpflfpfffildf. What is prob of sequence ppll?
3/2002
Two letters picked without replacement from jennnnenehjejqjq. Give prob of sequence hq.
1/120
Two letters picked without replacement from woowww. What is prob of sequence oo?
1/15
Four letters picked without replacement from {g: 1, f: 3, d: 1, l: 2, u: 4}. Give prob of sequence uull.
1/330
Three letters picked without replacement from {a: 2, i: 2, s: 1, t: 1, e: 4}. What is prob of sequence eis?
1/90
What is prob of sequence zta when three letters picked without replacement from jtazj?
1/60
Four letters picked without replacement from {n: 1, x: 9, k: 1, o: 3}. What is prob of sequence xxno?
9/1001
Three letters picked without replacement from ysfsyspkspskkjsppf. Give prob of sequence pys.
1/102
Two letters picked without replacement from qbmemmqmbmbboox. What is prob of sequence qo?
2/105
Two letters picked without replacement from ririrrrrrrrrrrri. What is prob of sequence ri?
13/80
Calculate prob of sequence njnj when four letters picked without replacement from jjjjnnn.
3/35
Calculate prob of sequence dzkj when four letters picked without replacement from kvzjdqj.
1/420
Three letters picked without replacement from ttugtggbqgwuuww. Give prob of sequence qtw.
3/910
Calculate prob of sequence aov when three letters picked without replacement from xiooiwxaoxaaaov.
8/1365
Calculate prob of sequence gw when two letters picked without replacement from waooddgdgaoadxo.
1/105
What is prob of sequence uuzp when four letters picked without replacement from pzzysyssppappsuyupz?
1/2584
What is prob of sequence qq when two letters picked without replacement from qjqmqqqzqqqqqj?
45/91
Two letters picked without replacement from {y: 2, k: 2, h: 1}. What is prob of sequence ky?
1/5
Four letters picked without replacement from {h: 5, e: 2}. Give prob of sequence hhhh.
1/7
Three letters picked without replacement from {r: 1, o: 8, t: 2, h: 5, e: 1}. What is prob of sequence hho?
2/51
Four letters picked without replacement from vbwwvvwbwbwvvwvwbbvw. What is prob of sequence wbvw?
49/2907
Two letters picked without replacement from {c: 1, j: 4, l: 4, q: 1, w: 5}. Give prob of sequence wq.
1/42
Two letters picked without replacement from ojofeggofoozojzjzo. Give prob of sequence ge.
1/153
What is prob of sequence becv when four letters picked without replacement from {b: 4, v: 7, c: 1, l: 1, z: 2, e: 3}?
7/6120
What is prob of sequence hxbb when four letters picked without replacement from {w: 1, r: 2, x: 2, b: 2, h: 1}?
1/420
What is prob of sequence en when two letters picked without replacement from {t: 4, u: 2, b: 3, e: 1, m: 7, n: 1}?
1/306
What is prob of sequence jcco when four letters picked without replacement from {a: 3, j: 1, w: 1, v: 1, o: 4, c: 4}?
2/1001
Two letters picked without replacement from yxtyyyyyty. Give prob of sequence ty.
7/45
What is prob of sequence kvn when three letters picked without replacement from {w: 3, n: 2, c: 6, d: 1, k: 2, v: 1}?
2/1365
Calculate prob of sequence mmk when three letters picked without replacement from {i: 10, b: 4, k: 4, m: 2}.
1/855
What is prob of sequence fl when two letters picked without replacement from {g: 8, k: 1, f: 1, v: 3, t: 2, l: 3}?
1/102
What is prob of sequence ku when two letters picked without replacement from ouukiowg?
1/28
Calculate prob of sequence olbo when four letters picked without replacement from llblloo.
1/105
Calculate prob of sequence fn when two letters picked without replacement from {f: 6, n: 1, j: 7}.
3/91
Calculate prob of sequence tt when two letters picked without replacement from {o: 6, n: 2, t: 7}.
1/5
Two letters picked without replacement from lpcczrrzi. Give prob of sequence zc.
1/18
Calculate prob of sequence ew when two letters picked without replacement from lsesaiwe.
1/28
Two letters picked without replacement from {l: 4, c: 1, k: 4, m: 2}. Give prob of sequence lk.
8/55
Two letters picked without replacement from {h: 1, m: 1, c: 3}. What is prob of sequence hm?
1/20
What is prob of sequence bu when two letters picked without replacement from {u: 3, j: 5, d: 1, b: 1}?
1/30
Three letters picked without replacement from {c: 2, g: 2, e: 2, u: 1, k: 1}. What is prob of sequence cug?
1/84
What is prob of sequence db when two letters picked without replacement from usbiguiiduddii?
3/182
What is prob of sequence yyoy when four letters picked without replacement from {o: 2, b: 4, y: 5}?
1/66
Four letters picked without replacement from ighhhhii. What is prob of sequence gihi?
1/70
Two letters picked without replacement from {q: 1, z: 3, p: 1, u: 1, s: 3, k: 2}. What is prob of sequence us?
3/110
What is prob of sequence zf when two letters picked without replacement from zggzzzzgzfzzfggzzzzz?
13/190
Four letters picked without replacement from tjrsjlrrrlrrrrslr. Give prob of sequence ltjj.
1/9520
Three letters picked without replacement from {j: 1, n: 1, z: 1}. Give prob of sequence jnz.
1/6
Calculate prob of sequence ng when two letters picked without replacement from {g: 3, n: 1, p: 1}.
3/20
Three letters picked without replacement from {w: 1, r: 1, h: 1, m: 1, z: 1}. What is prob of sequence wrm?
1/60
Four letters picked without replacement from {p: 4, z: 1, t: 2, i: 3, g: 3, y: 2}. What is prob of sequence ipyg?
1/455
Two letters picked without replacement from uccccccccccccccucccc. What is prob of sequence cu?
9/95
Two letters picked without replacement from zdzzzzzdzzzdddzzdz. What is prob of sequence zd?
4/17
Two letters picked without replacement from nppsphnashpnseh. What is prob of sequence nh?
3/70
Four letters picked without replacement from otkumvm. What is prob of sequence vovv?
0
Two letters picked without replacement from whhavpav. Give prob of sequence ph.
1/28
Three letters picked without replacement from {q: 2, e: 5, c: 3, g: 2}. What is prob of sequence ece?
1/22
Calculate prob of sequence plua when four letters picked without replacement from {u: 2, a: 1, p: 1, l: 2}.
1/90
What is prob of sequence tes when three letters picked without replacement from eqsstsq?
1/70
What is prob of sequence sreh when four letters picked without replacement from rsrerfeyhhef?
1/660
Two letters picked without replacement from qxmqqqqbmmxxb. Give prob of sequence xx.
1/26
What is prob of sequence jbj when three letters picked without replacement from beijhhjbbj?
1/40
What is prob of sequence ygg when three letters picked without replacement from {y: 3, g: 6, x: 8}?
3/136
Calculate prob of sequence kbb when three letters picked without replacement from {b: 7, k: 9}.
9/80
Calculate prob of sequence apo when three letters picked without replacement from ppapaaaoapapapaaapp.
40/2907
Four letters picked without replacement from dppppppdpdpdpd. Give prob of sequence pddp.
60/1001
Two letters picked without replacement from {f: 7, y: 4}. Give prob of sequence ff.
21/55
Calculate prob of sequence nqnq when four letters picked without replacement from qqqqnqqqnnqqqqqq.
3/140
Calculate prob of sequence wyhy when four letters picked without replacement from {i: 2, y: 11, h: 1, w: 4, l: 1}.
55/11628
Calculate prob of sequence dg when two letters picked without replacement from uewqgdwu.
1/56
Calculate prob of sequence jyq when three letters picked without replacement from {y: 2, q: 1, j: 1}.
1/12
Three letters picked without replacement from zdzzaddda. What is prob of sequence zza?
1/42
What is prob of sequence rur when three letters picked without r | {
"pile_set_name": "DM Mathematics"
} |
-6*j - 50 = 25*j + 105. Is -166 at least j?
False
Suppose 0 = -3*m + 2*g + 1, m - 7 = -g - 0*g. Let v be -1 + ((-1048)/16)/((-2)/(-4)). Let s = 138 + v. Which is smaller: s or m?
m
Let z be (-2 + 2533/2)*(-84)/(-18). Let w = 2944597/499 - z. Does 1 = w?
False
Let y(o) = -12*o**2 + 9*o - 9. Let i be y(1). Let a be (-3*22)/(126/i - -12). Suppose f = -4*f - 220. Is a at most as big as f?
True
Suppose -2*z + 5 = 2*k + 3, 3*k = -z + 3. Let p = -11678433 + 385420400/33. Let v = 973 - p. Is k at least v?
True
Suppose -354*x + 360*x = 1698. Let t = x + -284. Which is greater: 2/29 or t?
2/29
Let t(a) = -2*a**2 - 16*a + 10. Let v(b) = b - 5. Let z be v(-2). Let f be t(z). Suppose f = -3*l + 9*l. Are l and -3 unequal?
True
Suppose 8*a - 47 = -15. Suppose 0 = -3*z + a*k + 3, -4*z + 3*k = 2*k - 4. Which is greater: -3/41 or z?
z
Suppose 24 = 5*m + 4*s, 37*m + 12*s = 39*m - 64. Is m smaller than 191?
True
Let g be ((789/4)/(-3))/(171/1064). Which is smaller: -408 or g?
g
Let q = -375953/4677497 - -106/1333. Do q and 1 have the same value?
False
Let f = 2271 - 2375.9. Is f greater than -1/3?
False
Suppose -5*q - 4*h - 154 = 0, -2*h = 34 - 32. Let b = -23 - -24. Let x = -3 + b. Do x and q have the same value?
False
Let g(z) = -14*z**2 + 11*z + 10. Let j be g(-1). Let m be 120/16*10/j. Let x = 5 + -5.3. Is x smaller than m?
False
Let a be (2/(-4))/(2/(-44)). Let f = a - 48. Suppose 0 = 2*u + 2*h + 82, -3*h + 21 = 4*u - 5*u. Is f equal to u?
False
Suppose 4*g = -5*u + 515, -3*g + 312 = -3*u + 6*u. Suppose -3*h + 6 = w, 5*w - 3*h = u - 15. Let i be ((16/60)/1)/(w/200). Is i less than 3?
False
Let r(w) = 82*w - 984. Let x be r(3). Do x and -736 have different values?
True
Suppose 0*b + 28 = -4*b - 4*m, 0 = -m + 4. Let g = 439 - 436. Suppose -5*w = 4*x + 11 + 56, -g*w = x + 36. Is w less than or equal to b?
True
Suppose 6*c - 3*c - 6 = 0. Suppose -3*y - 87*r + 91*r + 33 = 0, 4*r + 30 = 2*y. Let q be y/(-210) + -2 + c + 0. Is -1 at most as big as q?
True
Suppose 0 = -18*u + 71*u + 106. Let b be (44/(-6))/(2/(-6)). Let z be b/(-21) - (-2)/6. Is u smaller than z?
True
Let j = -0.017 - 0.026. Let c = j + 3.043. Let n = c - 2.8. Which is greater: 17 or n?
17
Suppose k + 0*k = -18. Let d be 23 + (-77)/7 - -54. Let p = d + k. Is p at least -2/3?
True
Let q = -1341 - -1340.83. Let r = 417.17 - 420. Let u = r + q. Is u != 3/8?
True
Let z be ((-3)/68)/((-20)/(-36)*28/(-160)). Which is bigger: z or -1?
z
Suppose 259*b + 8696 + 15331 + 12751 = 0. Which is smaller: b or -8/5?
b
Suppose 0 = 2*f - 4*f. Let a be 7 - (-945)/(-132) - (-2)/(-8). Is a greater than or equal to f?
False
Suppose 2*q + 0*q - 6 = 0. Suppose 297 = -4*d - 3*s, -d - 8*s - 53 = -q*s. Let k = -547/7 - d. Is 0 greater than k?
True
Suppose 3 = i - s, -4*s = i - 1964 + 1986. Is 8/631 greater than i?
True
Let n(d) = -d**2 - 2*d + 17. Let p be n(-5). Suppose 2 = -p*i + 8. Is 4 less than i?
False
Let a(o) = o**2 - 1. Let i(u) = -5*u**2 - u + 22. Let k(d) = -6*a(d) - i(d). Let v be k(0). Does v = -25?
False
Let j = 0.247 - 0.247. Let m = 6.6 - 172.6. Do m and j have the same value?
False
Let h = -0.17 - 0.03. Let m = 67 - 68.808. Let s = -0.192 + m. Which is greater: s or h?
h
Let l be 8*(123/3854)/(3/18). Which is greater: 2 or l?
2
Suppose -13*i + 16 = -17*i, q - 5*i - 449 = 0. Let l = 458 - q. Is l less than or equal to 143/5?
False
Let g be (2/3)/((-4)/321). Suppose 10*d + q = -565, -2*d + 3*q = q + 80. Which is bigger: d or g?
g
Let d = -15834 + 15757. Does -80 = d?
False
Suppose -8*r + 20 = -3*r. Let g(b) = 2*b**3 - 9*b**2 + b - 15. Let j be g(r). Is j less than -27?
False
Let r = 5832 - 5831. Which is greater: r or -157?
r
Let j be -50 + 57 + 42/14. Suppose 2 = 2*t - 2. Suppose 0 = -t*g + g + 9. Which is greater: g or j?
j
Let n = 165 + -163.67. Let l = -5.5357 - -4.5357. Are l and n equal?
False
Let a = 12467 - 12443. Suppose 5*w + 10 = 3*t, -2*w - 4 = 6*t - 2*t. Which is bigger: t or a?
a
Let i = -14601 - -8962. Is i not equal to -5638?
True
Let k = 991/240 + 13/48. Let o be 2/((-14)/665) + 6. Let l = o - -92. Do l and k have the same value?
False
Suppose -21*z = -95*z - 136517 - 480199. Is z equal to -1/2?
False
Let y = -1.40461 - -0.00461. Is y < 0.086?
True
Let l = -49 + 48. Suppose 15*h = 5*s + 20*h - 750, s - 158 = -5*h. Do l and s have the same value?
False
Let f(w) = 11 + 7 + 4*w - 3 - w. Let u be f(-6). Let l be 928/(-188) - (u - 2). Do 0 and l have the same value?
False
Let y(k) = -k**3 - 4*k**2 - 10*k. Let i be y(0). Is i < 1/2746?
True
Let n be (-3)/6*0/(-2). Let g = 10/19 - -65/57. Let d = g + -28/15. Which is greater: d or n?
n
Let w(b) = 11*b + 10. Let d(z) = -5*z - 5. Let r(a) = 9*d(a) + 4*w(a). Let h be r(-4). Let y(j) = -3*j. Let n be y(h). Which is smaller: 4 or n?
n
Let q be 2/((-123)/129 + 1). Let l = q + -41. Suppose -3*b + 202 = 5*y, 0 = b + l - 6. Is y less than or equal to 39?
True
Suppose -6*s = 4*a + 404, 0*s + 271 = -4*s - a. Which is greater: -60 or s?
-60
Suppose 6 = 35*g - 224 + 90. Which is smaller: g or 322/103?
322/103
Suppose 6*v = v + 5*g + 55, 0 = 3*g - 15. Suppose -2*n + 44 = 4*l + v, n - 4*l - 14 = 0. Let z be (-2 + (-16)/(-1))*(-14)/n. Is -27/2 greater than z?
True
Let d = 36 + -23. Suppose -2*c = j + d, 2*c = 4*j - 0*c + 42. Suppose 92 = -14*w - 6. Does w = j?
False
Let z = 20014 + -20006. Is z smaller than 390?
True
Let v = 1496440/141 - 10613. Let l = 64/1551 + v. Let n(u) = -u + 2. Let a be n(2). Which is greater: a or l?
l
Let q = 2/2153 - 27993/4306. Let n = 17915/2982 + 44/213. Let f = n + q. Is -4/9 less than or equal to f?
True
Let c(d) = -52*d - 832. Let y be c(-16). Let p = 28/3 - 5743/615. Is y at most p?
False
Suppose -66*p - 322 = 338. Which is smaller: -440/41 or p?
-440/41
Suppose -41*q - 2*q + 1125095 = 0. Let i = q - 235805/9. Which is smaller: i or -37?
-37
Suppose 2*o = -4*w + 2, -7*w = -6*w + 3*o - 13. Let k be ((-114)/(-12))/((w/(-164))/1). Which is greater: k or 778?
k
Suppose -12 = 4*i, -4*o = o + 3*i - 11. Suppose -w + o*l - 81 = 15, 318 = -3*w + 2*l. Let t = w - -108. Do t and -1/9 have the same value?
False
Let k be (-574)/4*(-285 + 287). Which is smaller: k or -2578/9?
k
Let s be -7 + (-1495)/(-175) + -5*6/(-50). Which is smaller: s or -25?
-25
Let f be ((-1824)/(-6))/(3/3). Suppose 0 = 3*m - 2*q - 924, m - 212 - 116 = 4*q. Do f and m have different values?
False
Let p be (-7)/(-1 - 6)*14. Let u be -1*(-1)/(0 + 2/16). Is u < p?
True
Let v = 0.0331 - -0.3299. Let a = -0.337 - v. Is -10 bigger than a?
False
Let n = 18/829 + -107/43108. Which is greater: 1 or n?
1
Let s be (-10)/(-55) + 1549/11. Let x = s - 219. Is x < -157/2?
False
Let m be 14/105 - (11712/(-11250))/(-8). Let k(g) = g**2 - 3*g - 11. Let y be k(5). Which is bigger: m or y?
m
Let h = 3660 - 3659. Which is smaller: h or 16.33?
h
Let g = 1 + -1. Let y = 1/320311 - -647348514/5445287. Let n = y - 119. Is n >= g?
False
Suppose -12 - 32 = -2*f. Let x = 21 - f. Let w be (2/x + 30/(-5))*1. Which is bigger: w or -9?
w
Let u = 7.5 + -7.4. Is u less than 7287?
True
Let i = 2166 + -2315. Which is smaller: 6/7 or i?
i
Suppose 0 = -43*s + 28*s + 15. Let x be ((-8)/(-10))/((-8)/(-20)). Is s less than or equal to x?
True
Let l = -255 - -267. Suppose 22 = 2*a - l. Let x = 9718/597 - -11/199. Which is bigger: a or x?
a
Let m = 2157.02 + -2157. Which is greater: 195/7 or m?
195/7
Let w be (-36 - -31) + (-1)/(1/(-4)). Let a be -64 - -61 - 95/w. Which is smaller: 90 or a?
90
Let n = 801 - 802.5. Are n and -0.054 nonequal?
True
Suppose -29*x - 102037 = 582*x. Which is bigger: -5 or x?
-5
Let o(m) = 3*m**3 + 15*m**2 - 5*m - 24. Let y be o(-5). Is y at most -54/223?
False
Let y be (288/(-27))/(5/(-60)). Is 134 greater than or equal to y?
True
Suppose 5*v + h - 162 = 0, 2*v - 34 = v - h. Let s = -1050 - -1409. Let q = s + -329. Is q <= v?
True
Let p = 810 + -659. Let n be 19 + p + 7/(-1). Is 165 greater than n?
True
Let m = -14782 - -14770. Which is smaller: -383 or m?
-383
Let r(t) = t**2 - 4*t - 22. Suppose 2*k + 2*b = 18, -3*k + 14 = b - 7. Let d be r(k). Which is smaller: -11 or d?
-11
Let b = -5756/9 + 2054/9. Let f = b - -3728/9. Let o(q) = -q**2 - 3*q + 1. Let k be o(-2). Are k and f non-equal?
True
Let j = 110 - 110. Suppose j + 12 = 3*i. Suppose 3 - 7 = i*p, 4*o - p + 55 = 0. Is -13 bigge | {
"pile_set_name": "DM Mathematics"
} |
1860 = -45*m. Suppose 19*w - 8 = m. Determine l so that 0 + 4/9*l + 2/9*l**w = 0.
-2, 0
Let j = -198 + 347. Suppose -18*v + 13 = -j. Factor 3 + v*a - 21/4*a**3 - 27/4*a**2.
-3*(a - 1)*(a + 2)*(7*a + 2)/4
Let u(v) = 2*v**3 + v**2 - 2*v - 3. Let d(m) = -9*m**3 - 76*m**2 - 1357*m - 2438. Let f(t) = -d(t) - 4*u(t). Solve f(r) = 0 for r.
-35, -2
Suppose y + x - 68 = -x, 5*y + x - 349 = 0. Let p = -68 + y. Suppose -9 + 42*z**2 - 41*z**p + 8 = 0. Calculate z.
-1, 1
Let y = -18459 - -18462. Factor -189/4 - 45/2*v**2 - 4*v**y - 54*v - 1/4*v**4.
-(v + 3)**3*(v + 7)/4
Suppose -v + 5*a - 12 = -0*v, 0 = 5*v + 3*a - 24. Suppose v*r - 3*g - 27 = 0, 3*r - 21 - 11 = 4*g. Factor -8*w**2 + w**2 - r*w - 4*w**3 + 8*w + 4 + 3*w**2.
-4*(w - 1)*(w + 1)**2
Suppose 4*c = 9*c - 80. Let g = c - 13. Factor 0*d**2 - 5 - d**2 - g*d**2 - d**2 + 10*d.
-5*(d - 1)**2
Let r(q) = 3*q**4 + 12*q**3 - 22*q**2 - 129*q - 115. Let x(l) = -2*l**4 - 8*l**3 + 15*l**2 + 87*l + 77. Let c(h) = -5*r(h) - 7*x(h). Factor c(i).
-(i - 3)*(i + 2)**2*(i + 3)
Suppose 0 = 3*g + 2 - 8. Suppose 2 = g*z - 2. Find j, given that -2*j**4 + 2*j + 0*j - 94*j**3 + 2*j**z + 92*j**3 = 0.
-1, 0, 1
Suppose t - 8 = 4*b, -7*b + 4*b - 6 = 3*t. Let d(i) be the third derivative of 7/60*i**5 + 23/24*i**4 + i**3 + t*i - 10*i**2 + 0. Factor d(g).
(g + 3)*(7*g + 2)
Let t = 237/3502 - -1277/7004. Suppose 0 + 0*m**3 - 5/4*m**4 + t*m**5 + 0*m + 0*m**2 = 0. What is m?
0, 5
Let o(m) be the second derivative of 1/48*m**4 + 0*m**2 - 4*m + 4 - 1/24*m**3. Factor o(t).
t*(t - 1)/4
Let p be -5*-8*(-5)/(-50)*2. Suppose 8*i - 198 = 74. What is s in -i*s**4 + p - 61*s**2 - 17*s - 23*s + 8*s**5 + 87*s**2 + 32*s**3 = 0?
-1, 1/4, 1, 2
Let t = 4901 + -4898. Let a(u) be the second derivative of 0 - 5/6*u**t - u + 5/24*u**4 + 0*u**2. Factor a(k).
5*k*(k - 2)/2
Let p(a) be the second derivative of 2*a**6/105 + 2*a**5/35 - 5*a**4/7 + 8*a**3/21 + 40*a**2/7 + 13142*a. Suppose p(q) = 0. What is q?
-5, -1, 2
Factor -794/5*n - 2/5*n**2 - 792/5.
-2*(n + 1)*(n + 396)/5
Let t(k) be the third derivative of -k**5/60 - 491*k**4/24 - 244*k**3 + k**2 - k - 234. Factor t(j).
-(j + 3)*(j + 488)
Factor 27*m + 0 + 141*m**2 + 91/3*m**3 + 5/3*m**4.
m*(m + 9)**2*(5*m + 1)/3
Let c = -30665 + 214675/7. Suppose 4/7*z**5 - 20/7*z**2 + c*z**4 - 16/7*z + 0 + 12/7*z**3 = 0. What is z?
-4, -1, 0, 1
Suppose 4*j + 13*j = -1275. Let f be ((-18)/j - 0)/(4/20). Factor 0*w**3 + 12/5*w**2 + f + 16/5*w - 2/5*w**4.
-2*(w - 3)*(w + 1)**3/5
Let m be (12/50)/((351/(-43875))/(6/(-25))). Let 6/5*q**5 + m*q**2 + 26/5*q**3 - 16/5 - 8*q - 28/5*q**4 = 0. What is q?
-1, -1/3, 2
Suppose 15*m - 55 = 20. Factor 120*d**2 - 255*d + m*d**3 - 231 + 617 - 256.
5*(d - 1)**2*(d + 26)
Let g = 355 + 50. Let 93*i**2 + 15 + 537*i**2 + 11 - 340*i + g*i**3 + 14 = 0. What is i?
-2, 2/9
Let n(t) be the second derivative of t**5/10 + 250*t**4/3 - 2012*t**3/3 + 2016*t**2 - 13*t - 16. Solve n(o) = 0.
-504, 2
Let y(s) = 26*s**3 - 2368*s**2 - 175249*s. Let m(l) = 3*l**3 - 296*l**2 - 21906*l. Let f(z) = -17*m(z) + 2*y(z). Find n, given that f(n) = 0.
-148, 0
Let x(m) be the third derivative of 3/2*m**3 + 11/4*m**4 + 5/24*m**7 + 61/48*m**6 + 0*m + 0 + 643/240*m**5 + 98*m**2. Let x(f) = 0. Calculate f.
-2, -3/5, -2/7
Suppose 2/7*z**4 + 10/7*z - 12/7 - 10/7*z**3 + 10/7*z**2 = 0. What is z?
-1, 1, 2, 3
Suppose 790 = 203*a + 192*a. Let y(f) be the third derivative of -1/735*f**7 - 1/84*f**4 + 1/420*f**6 + 1/210*f**5 + 3*f**a + 0 + 0*f + 0*f**3. Factor y(j).
-2*j*(j - 1)**2*(j + 1)/7
Suppose 2*b - 24 = -4*b. Suppose -2*o - o = c - 26, -136 = -4*c - b*o. Factor -10*a + 19 - 2*a**2 - 3*a**2 - c + 14.
-5*(a + 1)**2
Suppose 180*g - 180*g**3 - 2/5*g**4 - 902/5 + 904/5*g**2 = 0. What is g?
-451, -1, 1
Let k = 3191947/1241310 - 1/177330. Determine u so that k*u - 24/7*u**2 - 18/7*u**3 + 3 + 3/7*u**4 = 0.
-1, 1, 7
Let v(o) be the third derivative of -13*o**5/5 - 157*o**4/8 - 3*o**3/2 + 34*o**2 - 34. Suppose v(g) = 0. What is g?
-3, -1/52
Let j(l) = 2912*l - 55326. Let q be j(19). Factor 1/8*s**3 - 3/2 - 7/8*s**2 + q*s.
(s - 3)*(s - 2)**2/8
Let i = -88961 + 88961. Factor -2/3*n**2 - 6*n + i.
-2*n*(n + 9)/3
Suppose 2035*j - 2040*j + 15 = 0. Determine s, given that 15*s + 0 + 40*s**2 + 5/3*s**5 + 110/3*s**j + 40/3*s**4 = 0.
-3, -1, 0
Let i(c) be the second derivative of -c**6/240 - 47*c**5/80 - 185*c**4/96 - 23*c**3/12 - 1418*c + 4. Let i(x) = 0. Calculate x.
-92, -1, 0
Let b(f) be the second derivative of -f**7/3780 + f**6/216 + f**5/30 - f**4/4 - 2*f**3/3 + 33*f. Let v(z) be the third derivative of b(z). Solve v(l) = 0 for l.
-1, 6
Suppose -55*p**4 - 77*p**4 - 147*p - 97*p + 84*p - 48 + 60*p**2 + 280*p**3 = 0. What is p?
-6/11, -1/3, 1, 2
Suppose 2/7*s**4 - 138/7*s**2 + 1080/7 - 306/7*s + 34/7*s**3 = 0. Calculate s.
-20, -3, 3
Suppose m + 3*m - 116 = -2*x, 308 = 5*x + m. Factor -x*l - 15 - 6 - 34*l**2 + 1 - 26*l**3 - 32*l**2 - 2*l**4.
-2*(l + 1)**3*(l + 10)
Let v(h) = 5*h**2 + 858*h - 36127. Let d(t) = 140*t**2 + 23170*t - 975430. Let b(n) = 2*d(n) - 55*v(n). Factor b(o).
5*(o - 85)**2
Let p = -434 - -436. Suppose -3*q + 8*q - 18 = p*n, -q - 5*n = 18. Factor 0*y**q - 4/3*y + 0 + 1/3*y**3.
y*(y - 2)*(y + 2)/3
Let g(w) = -3*w + 3. Let s(y) = 13*y - 13. Let z(m) = -9*g(m) - 2*s(m). Let x(n) = 2*n**2 + 102*n + 1146. Let k(j) = x(j) - 6*z(j). Factor k(v).
2*(v + 24)**2
Let n be (2 + -1)*(12 - (3 - -9)). Suppose -18*g + 23 + 31 = n. Factor 0*p**g + 2/15*p**5 + 0*p + 0 + 0*p**2 - 2/15*p**4.
2*p**4*(p - 1)/15
Let o(b) be the first derivative of -4*b**3/3 + 62*b**2 + 264*b + 1143. Find c such that o(c) = 0.
-2, 33
Suppose 9*z + 2 - 47 = 0. Factor -147*h**z + 152*h**5 + 2*h**4 + 3*h**4.
5*h**4*(h + 1)
Let x(h) be the second derivative of -1/48*h**4 - 1/80*h**5 + 0*h**2 + h + 1/120*h**6 + 157 + 1/168*h**7 + 0*h**3. Factor x(d).
d**2*(d - 1)*(d + 1)**2/4
Let r(f) be the second derivative of -11/18*f**4 - 8/15*f**5 + 1/2*f**2 + 13/18*f**3 + 4 - 15*f. Suppose r(o) = 0. Calculate o.
-1, -3/16, 1/2
Suppose -v + 11*v = 30. Find l such that -4 + 2047*l + 5*l**v - 2047*l + 11*l**2 + 2*l**4 - 14*l**3 = 0.
-1/2, 1, 2
Let j(n) be the second derivative of n**6/90 - n**5/30 + n**4/36 - 175*n - 5. Suppose j(k) = 0. Calculate k.
0, 1
Solve -15/4*i**2 - 21/8*i**3 + 0 + 3/8*i**4 + 6*i = 0 for i.
-2, 0, 1, 8
Let k(f) be the second derivative of 3*f**5/40 + 5*f**4/8 - 2*f**3 - 9*f**2 - 26*f + 15. Find g, given that k(g) = 0.
-6, -1, 2
Suppose -3*b = 398 + 886. Let h be (-3 + b/(-140))/((-7)/(-70)). Suppose 32/7*c**3 - h*c**4 - 88/7*c**2 - 36/7 + 96/7*c = 0. Calculate c.
1, 3
Suppose 32 = 3*g - k, 5*k - 34 = -3*g + 4*k. Let a be -4 + 2 - g/((-484)/92). Factor 0 + 0*t + a*t**4 - 2/11*t**3 + 0*t**2.
t**3*(t - 2)/11
Let m = 993913/3469213 - -240/2791. Let b = m - 1/113. Determine i, given that 2/11*i**3 + b - 2/11*i - 4/11*i**2 = 0.
-1, 1, 2
Let x(s) be the third derivative of s**6/24 + 11*s**5/12 - 1505*s**4/24 + 6125*s**3/6 - 211*s**2. Factor x(r).
5*(r - 7)**2*(r + 25)
Let n(y) = y**3 + y**2 + 40. Let g be n(0). Let h = -10086 - -10088. Factor 5*z**3 - 15*z + 90 - g*z**2 - 14*z**2 + 34*z**h.
5*(z - 3)**2*(z + 2)
Let h(i) = -3*i**2 - 2*i - 4. Let g(r) = 12*r**2 + 9*r + 15. Let z be (32/4 - 10)*2/(-1). Let m(f) = z*g(f) + 15*h(f). Factor m(y).
3*y*(y + 2)
Suppose -83 = 49*f - 328. Let q(v) be the second derivative of -2*v - 1/24*v**4 + 0 - 1/180*v**6 + 0*v**2 - 1/40*v**f - 1/36*v**3. Factor q(j).
-j*(j + 1)**3/6
Factor -1026 + 622 - 1162*f - 1912 - 2*f**2.
-2*(f + 2)*(f + 579)
Let p(s) be the third derivative of -s**8/112 - 3*s**7/70 + 21*s**6/40 + 83*s**5/20 + 15*s**4/2 - 24*s**2 + 1. Let p(x) = 0. Calculate x.
-4, -3, -1, 0, 5
Let m(b) be the first derivative of -28/3*b**3 + 0*b + b**4 + 12*b**2 + 60. Let m(d) = 0. Calculate d.
0, 1, 6
Let x(d) = 4*d. Let u(p) = 2*p**2 - 26*p - 20. Suppose -2*m - 12 = -14. Let b(g) = m*u(g) + 5*x(g). Determine s, given that b(s) = 0.
-2, 5
Let j(a) = 2*a**2 + 3*a - 44. Let n be j(-6). Let x(z) be the second derivative of -n*z + 1/28*z**4 + 0 - 9/14*z**2 - 1/7*z**3. Find o, given that x(o) = 0.
-1, 3
Find k, given that 147/4*k**3 + 234*k - 1701/4*k**2 - 33 = 0.
2/7, 11
Let i(y) be the third derivative of -y**6/360 + 13*y**5/60 + 23*y**4/36 - 40*y**3/3 - 49*y**2 + 6. Factor i(k).
-(k - 40)*(k - 2)*(k + 3)/3
What is n in 9 | {
"pile_set_name": "DM Mathematics"
} |
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