text stringlengths 270 8.19k | meta dict |
|---|---|
0199.
280199
List the prime factors of 24973566.
2, 3, 4162261
List the prime factors of 3200344.
2, 7, 57149
What are the prime factors of 12398888?
2, 131, 11831
List the prime factors of 10913684.
2, 23, 313, 379
What are the prime factors of 179451?
3, 127, 157
List the prime factors of 574061.
574061
List the prime factors of 241758.
2, 3, 11, 37
List the prime factors of 520839.
3, 11, 5261
What are the prime factors of 414925?
5, 7, 2371
What are the prime factors of 4055626?
2, 19, 106727
List the prime factors of 59133.
3, 23, 857
List the prime factors of 227610.
2, 3, 5, 281
What are the prime factors of 8833393?
8833393
What are the prime factors of 983488?
2, 11, 127
What are the prime factors of 414292?
2, 103573
What are the prime factors of 1544139?
3, 171571
List the prime factors of 333916.
2, 11, 7589
List the prime factors of 6042814.
2, 3021407
List the prime factors of 86236.
2, 21559
What are the prime factors of 522136?
2, 65267
What are the prime factors of 2552205?
3, 5, 229, 743
What are the prime factors of 459629?
17, 19, 1423
List the prime factors of 15992614.
2, 11, 17, 61, 701
What are the prime factors of 44937?
3, 4993
What are the prime factors of 4223247?
3, 7, 201107
What are the prime factors of 2208370?
2, 5, 19, 59, 197
List the prime factors of 20333.
20333
List the prime factors of 287450.
2, 5, 5749
What are the prime factors of 33285035?
5, 7, 951001
What are the prime factors of 669393?
3, 74377
What are the prime factors of 245639?
245639
List the prime factors of 1727247.
3, 241, 2389
What are the prime factors of 152325?
3, 5, 677
List the prime factors of 1755236.
2, 7, 62687
List the prime factors of 20042651.
3461, 5791
What are the prime factors of 1840779?
3, 79, 863
List the prime factors of 119332.
2, 29833
What are the prime factors of 8173702?
2, 17, 311, 773
List the prime factors of 38204594.
2, 19102297
List the prime factors of 18181681.
7, 137, 18959
What are the prime factors of 5277359?
71, 239, 311
What are the prime factors of 229521?
3, 76507
What are the prime factors of 6075679?
6075679
List the prime factors of 18741186.
2, 3, 347059
List the prime factors of 2556115.
5, 511223
What are the prime factors of 782437?
23, 34019
List the prime factors of 225859.
225859
What are the prime factors of 1101752?
2, 41, 3359
What are the prime factors of 9074311?
17, 1847
List the prime factors of 1089933.
3, 13, 27947
What are the prime factors of 1485814?
2, 11, 67537
List the prime factors of 2301773.
461, 4993
What are the prime factors of 2644570?
2, 5, 373, 709
What are the prime factors of 123388?
2, 109, 283
List the prime factors of 1728839.
7, 31, 257
List the prime factors of 31092846.
2, 3, 5182141
List the prime factors of 295914.
2, 3, 149, 331
What are the prime factors of 13193908?
2, 7, 13, 67, 541
List the prime factors of 494803.
494803
What are the prime factors of 353005?
5, 17, 4153
List the prime factors of 1699091.
1699091
What are the prime factors of 1119035?
5, 79, 2833
What are the prime factors of 153021?
3, 11, 4637
List the prime factors of 1739797.
17, 29, 3529
List the prime factors of 550165.
5, 7, 11, 1429
List the prime factors of 8170847.
8170847
What are the prime factors of 37732212?
2, 3, 7, 149731
List the prime factors of 36789.
3, 12263
List the prime factors of 294120.
2, 3, 5, 19, 43
What are the prime factors of 2496270?
2, 3, 5, 7, 11887
List the prime factors of 10017030.
2, 3, 5, 31, 10771
What are the prime factors of 4392023?
103, 42641
What are the prime factors of 20361002?
2, 17, 598853
List the prime factors of 13497236.
2, 101, 33409
What are the prime factors of 621041?
61, 10181
What are the prime factors of 174967?
13, 43, 313
List the prime factors of 26866761.
3, 8955587
List the prime factors of 281035.
5, 56207
What are the prime factors of 1029362?
2, 514681
What are the prime factors of 12282027?
3, 4094009
List the prime factors of 9337273.
11, 848843
What are the prime factors of 6902674?
2, 331, 10427
List the prime factors of 27134708.
2, 6783677
What are the prime factors of 2951082?
2, 3, 67, 2447
What are the prime factors of 9160918?
2, 13, 463, 761
List the prime factors of 11055492.
2, 3, 7, 19, 2309
List the prime factors of 3450332.
2, 862583
List the prime factors of 948458.
2, 7, 37, 1831
List the prime factors of 2873431.
11, 97, 2693
List the prime factors of 3331452.
2, 3, 227, 1223
List the prime factors of 400532.
2, 11, 9103
What are the prime factors of 157737?
3, 52579
What are the prime factors of 6675616?
2, 227, 919
What are the prime factors of 23982650?
2, 5, 67, 7159
What are the prime factors of 2425184?
2, 75787
List the prime factors of 4060194.
2, 3, 31, 83, 263
List the prime factors of 542681.
661, 821
What are the prime factors of 4270679?
7, 433, 1409
What are the prime factors of 11763?
3, 1307
What are the prime factors of 82507?
82507
List the prime factors of 2915274.
2, 3, 131, 3709
What are the prime factors of 730004?
2, 11, 47, 353
What are the prime factors of 135790?
2, 5, 37, 367
What are the prime factors of 1949244?
2, 3, 11, 14767
List the prime factors of 2578244.
2, 41, 79, 199
List the prime factors of 405528.
2, 3, 61, 277
List the prime factors of 119161.
7, 29, 587
List the prime factors of 256085.
5, 51217
What are the prime factors of 1337584?
2, 41, 2039
What are the prime factors of 5457244?
2, 13, 104947
List the prime factors of 286709.
409, 701
What are the prime factors of 1607651?
41, 113, 347
List the prime factors of 742672.
2, 7, 19, 349
What are the prime factors of 5556278?
2, 7, 13, 30529
What are the prime factors of 6417478?
2, 19, 281, 601
List the prime factors of 1500255.
3, 5, 11113
List the prime factors of 380334.
2, 3, 63389
What are the prime factors of 849522?
2, 3, 141587
What are the prime factors of 236611?
29, 41, 199
List the prime factors of 262382.
2, 127, 1033
List the prime factors of 1100963.
127, 8669
What are the prime factors of 1031458?
2, 17, 23, 1319
List the prime factors of 748713.
3, 7, 101, 353
What are the prime factors of 26496819?
3, 149, 19759
List the prime factors of 579434.
2, 289717
List the prime factors of 165735.
3, 5, 29, 127
List the prime factors of 710601.
3, 236867
List the prime factors of 115261.
79, 1459
What are the prime factors of 2650631?
157, 16883
What are the prime factors of 16732324?
2, 7, 85369
List the prime factors of 318690.
2, 3, 5, 3541
What are the prime factors of 588674?
2, 294337
What are the prime factors of 4283415?
3, 5, 31729
List the prime factors of 225482.
2, 112741
What are the prime factors of 11258301?
3, 17, 31, 7121
List the prime factors of 586993.
11, 17, 43, 73
List the prime factors of 622605.
3, 5, 41507
List the prime factors of 289302.
2, 3, 13, 3709
What are the prime factors of 12506404?
2, 97, 32233
What are the prime factors of 2162703?
3, 720901
List the prime factors of 840877.
47, 17891
What are the prime factors of 4944779?
7, 31, 22787
List the prime factors of 984154.
2, 492077
List the prime factors of 11685370.
2, 5, 1168537
What are the prime factors of 3946977?
3, 113, 3881
List the prime factors of 5970553.
17, 157, 2237
List the prime factors of 10422394.
2, 17, 306541
What are the prime factors of 471063?
3, 23, 6827
List the prime factors of 740617.
359, 2063
What are the prime factors of 211979?
211979
List the prime factors of 1898138.
2, 11, 19, 239
What are the prime factors of 493230?
2, 3, 5, 41, 401
List the prime factors of 593165.
5, 118633
List the prime factors of 46841.
31, 1511
List the prime factors of 10430.
2, 5, 7, 149
List the prime factors of 251833.
251833
What are the prime factors of 339769?
339769
List the prime factors of 830423.
11, 6863
List the prime factors of 21743.
17, 1279
List the prime factors of 538482.
2, 3, 7, 12821
List the prime factors of 4282480.
2, 5, 199, 269
What are the prime factors of 2816941?
2816941
List the prime factors of 3798253.
89, 42677
List the prime factors of 27652409.
41, 674449
List the prime factors of 1589999.
541, 2939
What are the prime factors of 41741801?
89, 469009
List the prime factors of 1604771.
7, 229253
What are the prime factors of 2222013?
3, 740671
What are the prime | {
"pile_set_name": "DM Mathematics"
} |
ided by -10255?
3
What is -5 divided by -1664?
5/1664
What is 247 divided by -4432?
-247/4432
-1409177 divided by -201311
7
What is -81335 divided by -5?
16267
What is -654705 divided by 1?
-654705
Calculate 20254 divided by -247.
-82
Calculate 327932 divided by 1.
327932
0 divided by 26005
0
45 divided by 393
15/131
Calculate -2 divided by 645003.
-2/645003
-28 divided by 1136
-7/284
Calculate 175004 divided by -134.
-1306
-9528 divided by -1
9528
What is 55839 divided by 3?
18613
32 divided by -5076
-8/1269
Divide -2 by -448094.
1/224047
What is 227166 divided by 6?
37861
Divide 22 by -16374.
-11/8187
Calculate -907508 divided by -453754.
2
What is 290 divided by -394?
-145/197
-5 divided by -511903
5/511903
Divide 348126 by -116042.
-3
Calculate 2165874 divided by -1.
-2165874
Calculate -118 divided by -6815.
118/6815
What is -11076 divided by 923?
-12
What is -515440 divided by 6?
-257720/3
791693 divided by -7
-113099
Divide 21 by -518.
-3/74
103141 divided by -2
-103141/2
Calculate 112250 divided by 22450.
5
What is 4 divided by 135667?
4/135667
18744 divided by 142
132
Calculate 3395181 divided by 1.
3395181
Calculate -714480 divided by -780.
916
Divide -52493 by -3.
52493/3
Divide -292640 by 58528.
-5
What is -502 divided by -27?
502/27
Divide 271 by 2283.
271/2283
Calculate -71685 divided by -14337.
5
What is 12354 divided by -87?
-142
-33568 divided by 33568
-1
What is 924042 divided by -898?
-1029
Divide 0 by -36617.
0
Calculate 0 divided by -939017.
0
Calculate -97332 divided by 1.
-97332
595 divided by -1305
-119/261
What is -231268 divided by -19?
12172
What is -5234973 divided by -1?
5234973
What is -1507801 divided by 1103?
-1367
What is -32085 divided by 23?
-1395
What is -13586 divided by -13586?
1
Divide 5 by 99986.
5/99986
Divide 6 by -17460.
-1/2910
What is 319998 divided by 319998?
1
What is 1494 divided by 26?
747/13
Calculate 2459 divided by -101.
-2459/101
Divide -1569618 by -6.
261603
What is 663343 divided by -3?
-663343/3
Calculate -2498 divided by 2.
-1249
Divide -3442 by -198.
1721/99
What is -460 divided by -359?
460/359
-6168 divided by -24
257
Divide 690148 by -4.
-172537
Calculate -315742 divided by -14.
22553
What is -9 divided by 43745?
-9/43745
Calculate 38382 divided by 6.
6397
Calculate -45728 divided by -8.
5716
Calculate -1731340 divided by 26.
-66590
What is -4 divided by 5358?
-2/2679
-1309 divided by -255
77/15
Calculate 4345 divided by -6.
-4345/6
411252 divided by -4782
-86
Divide -4327131 by 3.
-1442377
Calculate 22601 divided by 4.
22601/4
Calculate 4703 divided by 19.
4703/19
Divide 11420 by 2284.
5
Calculate 2 divided by -755697.
-2/755697
Calculate 0 divided by 5783.
0
30306 divided by 3
10102
What is 14 divided by -67763?
-14/67763
-6 divided by 30650
-3/15325
Divide 0 by -4790.
0
What is -1662144 divided by -4?
415536
-3 divided by -18411
1/6137
Divide 44915 by 2.
44915/2
What is -128 divided by -1403?
128/1403
Divide 34305 by 60.
2287/4
What is 79050 divided by 75?
1054
Calculate 6711 divided by -22.
-6711/22
-55266 divided by -61
906
-7 divided by 17620
-7/17620
2945879 divided by -2533
-1163
Calculate -506256 divided by 8.
-63282
What is 2226204 divided by 18?
123678
Calculate -32967 divided by 13.
-32967/13
What is 240 divided by 7332?
20/611
What is 332 divided by 8086?
166/4043
-1 divided by -20293
1/20293
Divide 4 by -1135.
-4/1135
What is 100355 divided by 18?
100355/18
Divide 65249 by -919.
-71
What is 7 divided by -2219?
-1/317
2413129 divided by -4
-2413129/4
Calculate -181324 divided by 2.
-90662
Calculate -5 divided by 32792.
-5/32792
What is -13 divided by -25581?
13/25581
Calculate -40689 divided by -1507.
27
Calculate 0 divided by 530430.
0
3 divided by -25156
-3/25156
0 divided by -55747
0
7858 divided by -3929
-2
-7302 divided by 2
-3651
Divide 134940 by -33735.
-4
Calculate -2 divided by -17164.
1/8582
What is -1226688 divided by 32?
-38334
Divide 320 by -9742.
-160/4871
Divide 31556 by -161.
-196
What is 444 divided by 2?
222
What is -30024 divided by -15012?
2
Calculate 212352 divided by -2.
-106176
Calculate 14394 divided by 2.
7197
What is -612984 divided by -3?
204328
What is 197659 divided by 17?
11627
Calculate 2703594 divided by 901198.
3
-7 divided by -78540
1/11220
What is -33241 divided by 1?
-33241
Divide 5 by -45457.
-5/45457
What is -4164795 divided by 5?
-832959
-12 divided by -798
2/133
Calculate 2366172 divided by 1.
2366172
Calculate -234585 divided by -13.
18045
What is -242753 divided by 3?
-242753/3
Divide 0 by -1780.
0
What is -214575 divided by 14305?
-15
What is 1 divided by -2911?
-1/2911
Divide -3375 by 5.
-675
Calculate -347 divided by 7731.
-347/7731
-112041 divided by 633
-177
Divide -17046 by 1.
-17046
42435 divided by -205
-207
Divide 86346 by -28782.
-3
What is 9408 divided by -672?
-14
3 divided by 160502
3/160502
-1932635 divided by -2
1932635/2
Calculate -187915 divided by 2065.
-91
Divide 199434 by -33239.
-6
Calculate -494965 divided by 5.
-98993
Divide -1280 by 575.
-256/115
Divide -3 by -582.
1/194
What is -17706 divided by 227?
-78
Divide 118570 by 59285.
2
Calculate -194508 divided by 32418.
-6
212 divided by 10
106/5
Divide -30 by -1136.
15/568
What is 1190475 divided by 117?
10175
Divide -45 by 248.
-45/248
What is 44180 divided by 11045?
4
Divide -455516 by 1.
-455516
Calculate -53568 divided by -1.
53568
Calculate 29862 divided by 79.
378
Calculate 435 divided by 5011.
435/5011
51060 divided by 1702
30
Divide 150220 by -4.
-37555
What is 14 divided by 567?
2/81
What is 168696 divided by -44?
-3834
-63000 divided by 5
-12600
Divide 3 by -2553.
-1/851
0 divided by 9524
0
336186 divided by 336186
1
209 divided by 1989
209/1989
Divide 506115 by -2.
-506115/2
Calculate -9666 divided by 6.
-1611
What is -230535 divided by 327?
-705
What is 332210 divided by 2?
166105
-38 divided by -324
19/162
0 divided by 15734
0
112375 divided by -29
-3875
Divide 16076 by -13.
-16076/13
What is 33 divided by -154550?
-3/14050
Divide -48 by 456.
-2/19
What is -39660 divided by 1?
-39660
-3 divided by -687784
3/687784
What is 42 divided by -3458?
-3/247
Calculate 1862775 divided by -2435.
-765
What is 4 divided by 12432?
1/3108
-2268 divided by 5
-2268/5
What is 4725 divided by -4725?
-1
What is 232 divided by 69?
232/69
Calculate -15728 divided by -983.
16
886528 divided by -3
-886528/3
-1304815 divided by -1601
815
What is -426705 divided by -28447?
15
Divide 47114 by 2.
23557
Calculate -131557 divided by -131557.
1
Divide -15317 by 10.
-15317/10
What is -94360 divided by -18872?
5
Divide -2186448 by -2706.
808
What is -46 divided by -2552?
23/1276
Divide 212 by 1275.
212/1275
Calculate 7950 divided by -159.
-50
59744 divided by -7468
-8
Divide -7023 by 4.
-7023/4
Calculate -242288 divided by -304.
797
-563596 divided by 22
-25618
Calculate 2 divided by 222662.
1/111331
5265 divided by -49
-5265/49
Divide -38386 by 2258.
-17
Calculate -317125 divided by -63425.
5
Divide -168786 by 18.
-9377
Calculate -24 divided by 716.
-6/179
What is -323000 divided by -161500?
2
Calculate -649 divided by 213.
-649/213
263814 divided by -3
-87938
-11913 divided by -4
11913/4
Divide -443300 by -130.
3410
5732247 divided by -3
-1910749
Calculate 6551 divided by 4.
6551/4
Divide -6 by -9989.
6/9989
Calculate -5 divided by 8850.
-1/1770
What is -13986 divided by 54?
-259
Divide 6650 by 950.
7
8056416 divided by -6
-1342736
What is -3 divided by 18237?
-1/6079
What is 100 divided by -133?
-100/133
What is 351670 divided by 1?
351670
Calculate -369900 divided by -540.
685
Divide 52 by -6803.
-52/6803
151856 divided by 4
37964
Divide 112700 by -56350.
-2
-28881 divided by 3209
-9
Calculate -469352 divided by 1.
-469352
Calculate 1 divided by 1156382.
1/1156382
Divide -31520 by 2.
-15760
What is -743 divided by 23?
-743/23
156046 divided by 3806
41
Divide 1160 by -10.
-116
298814 divided by -53
-5638
Calculate 8645 divided by 1.
8645
1167720 divided by 526
2220
Calculate 2240665 divided by 5.
448133
Calculate 6665 divided by -6.
-6665/6
Calculate -3706 divided by 15.
-3706/15
Divide 354600 by -1.
-354600
Calculate 2888 divided by -8.
-361
Divide 4922 by -152.
-2461/76
-632352 divided by -158088
4
Calculate 2637984 divided by 4.
659496
Calculate 120342 divided by -1203 | {
"pile_set_name": "DM Mathematics"
} |
(b) be the third derivative of b**5/60 + 2*b**2. Determine u so that z(u) = 0.
0
Let u be 1/((-2)/8) - -4. Let a(o) be the first derivative of 1 + u*o - 1/6*o**3 - 1/4*o**2. Factor a(w).
-w*(w + 1)/2
Let n(k) be the third derivative of 0*k - 21/20*k**5 - 1/14*k**7 - 17/40*k**6 - 11/8*k**4 + k**2 - k**3 + 0. Suppose n(x) = 0. Calculate x.
-1, -2/5
Let y(v) be the first derivative of 3*v**4/4 - 5*v**3 + 12*v**2 - 12*v + 7. Factor y(m).
3*(m - 2)**2*(m - 1)
Suppose 125 = 19*f + 68. Factor 0*b**2 + 1/5*b**f - 4/5*b + 0.
b*(b - 2)*(b + 2)/5
Find g, given that 2/5*g**5 - 2*g**4 + 0 + 18/5*g**2 + 0*g + 6/5*g**3 = 0.
-1, 0, 3
Let v(m) = m**2 - 1. Let u(l) = 4*l**2 + l - 5. Suppose -5*h + 4*i = 2*i - 5, 11 = -3*h + 4*i. Let q(w) = h*u(w) - 15*v(w). Factor q(f).
-3*f*(f - 1)
Let f(d) be the first derivative of -d**4/24 - d**3/18 + d**2/12 + d/6 + 56. Determine m, given that f(m) = 0.
-1, 1
Let m(r) be the third derivative of 0*r**3 + 0*r - 1/525*r**7 + 0*r**4 + 1/150*r**5 + r**2 + 0 - 1/300*r**6 + 1/840*r**8. Determine b so that m(b) = 0.
-1, 0, 1
Let t = 20 - 18. Suppose 0 = 3*x + x + 20, 0 = t*n + x + 1. Solve -8/9*q - 2/3*q**n + 8/9 = 0.
-2, 2/3
Suppose -2*h = -v, 0 = -v + 6*v. Let x = h + 3. Suppose -3*m**2 + x*m + 0*m**3 + 2*m**3 - m**3 - 1 = 0. What is m?
1
Factor 120*u**3 + 114*u**3 - 229*u**3 + 35*u**2.
5*u**2*(u + 7)
Let 26*t**2 + 65*t**3 + 21*t + 56*t**2 + 5*t**5 - 22*t**2 - t + 30*t**4 = 0. Calculate t.
-2, -1, 0
Suppose 4/5*q**3 + 0 + 8/5*q**2 + 4/5*q = 0. What is q?
-1, 0
Let r(d) = -d**3 - 13*d**2 - 10*d + 15. Let g be r(-12). Let l be g/15 + (-21)/(-10). Factor -l*z - 3/2*z**2 + 3/2*z**4 + 3/2*z**3 + 0.
3*z*(z - 1)*(z + 1)**2/2
Let n(m) be the second derivative of 5*m**3 + 0 - 4*m**4 - 2*m**2 - 8/5*m**5 - 7*m. Factor n(o).
-2*(o + 2)*(4*o - 1)**2
Let n(u) be the first derivative of 1/6*u**3 + 1/24*u**4 + 0*u + 1 + 1/240*u**5 - 1/2*u**2. Let h(r) be the second derivative of n(r). Solve h(x) = 0.
-2
Let s = -1 + 5. Factor -8 + 3*i**2 - 14*i**3 + s + 13*i**3.
-(i - 2)**2*(i + 1)
Factor -2*g**3 - 6*g + 3*g + g**3 + 4*g.
-g*(g - 1)*(g + 1)
Let h(d) = -10*d**4 - 6*d**3 - 2*d**2 - 2*d. Let t(o) = -o**5 + 51*o**4 + 29*o**3 + 11*o**2 + 11*o. Let i(x) = 22*h(x) + 4*t(x). Determine u so that i(u) = 0.
-2, 0
Suppose -2*u - g - 8 = -24, -4*g = -u - 10. Let h be 9/u - 1/(-2). Suppose -8 - 2*j**2 + 3*j**h - 8*j - j**2 - 2*j**2 = 0. What is j?
-2
Suppose -3*a = -8*a - 25. Let k = a - -9. Suppose -5*d**3 - 2 + k*d**3 - 2 - 5*d**2 - 2*d - 6*d = 0. What is d?
-2, -1
Let s = 1 - -1. Let j(n) = -n**2 + 3*n + 4*n**2 - s*n - 4*n. Let h(o) = 12*o**2 - 13*o + 1. Let l(y) = 4*h(y) - 18*j(y). Find w, given that l(w) = 0.
-2/3, 1
Suppose -16 = 4*s - 40. Let h(l) be the second derivative of 0*l**4 + 1/120*l**s + 2*l + 0*l**3 - 1/80*l**5 + 0 + 0*l**2. Factor h(u).
u**3*(u - 1)/4
Let g(j) be the first derivative of j**8/672 - j**6/120 + j**4/48 - j**2 + 3. Let t(a) be the second derivative of g(a). Solve t(l) = 0 for l.
-1, 0, 1
Let h(s) be the third derivative of -2*s**7/735 - s**6/210 - 24*s**2. Factor h(f).
-4*f**3*(f + 1)/7
Suppose 0 = -4*k + 3*k + 4. Suppose -k*j = j - 10. Let 1/3*p + 1/3*p**j - 1/3*p**3 - 1/3 = 0. Calculate p.
-1, 1
Let i be 25/10 - 2/4. Let c(f) be the first derivative of 0*f + 0*f**i - 1/15*f**6 + 0*f**5 + 0*f**3 + 1 + 1/10*f**4. Factor c(b).
-2*b**3*(b - 1)*(b + 1)/5
Let j(i) = -10*i**2 + 13*i - 7. Let s(t) = -19*t**2 + 27*t - 13. Let q(l) = -5*j(l) + 3*s(l). Let q(z) = 0. Calculate z.
2/7, 2
Let g(l) be the second derivative of 1/15*l**5 + 0 - 1/60*l**6 - l - 3/2*l**2 - 1/12*l**4 + 0*l**3. Let n(c) be the first derivative of g(c). Factor n(p).
-2*p*(p - 1)**2
Let l = -144/7 + 1324/63. Let i(k) be the third derivative of 0*k - 1/9*k**4 + 0 + 1/90*k**5 + l*k**3 - 3*k**2. Factor i(b).
2*(b - 2)**2/3
Let b(t) be the third derivative of t**6/40 - t**5/15 + t**4/24 + 3*t**2. Determine m so that b(m) = 0.
0, 1/3, 1
Let h(r) be the second derivative of r**5/90 - r**4/18 + 2*r**3/27 + 3*r + 1. What is s in h(s) = 0?
0, 1, 2
Let p(j) = j**3 + j. Let o be p(1). What is b in 0*b - 4 + o*b**3 + 3*b - 26*b**2 - 10*b**3 - 25*b = 0?
-2, -1, -1/4
Let s(j) = -7*j**4 - 21*j**3 - 54*j**2 - 60*j - 24. Let b(a) = a**4. Let k(n) = 4*b(n) + s(n). Solve k(d) = 0 for d.
-2, -1
Let y(b) = -b + 17. Let l be y(14). Factor -3*m**4 - 13*m - 9*m**l + 10*m + 1 - 9*m**2 - 1.
-3*m*(m + 1)**3
Suppose 22/3*i**3 - 2/3*i**4 - 70/3*i**2 + 50/3*i + 0 = 0. What is i?
0, 1, 5
Let c(p) be the second derivative of -p**6/30 + 3*p**5/4 - 4*p**4 - 32*p**3/3 + p. Find g such that c(g) = 0.
-1, 0, 8
Let h(b) = -3*b**2 + b - 2. Let s(n) = 2*n**2 - n + 2. Let a(o) = 3*h(o) + 4*s(o). Factor a(z).
-(z - 1)*(z + 2)
Let s(b) = -b**3 + 4*b**2 + 6*b - 5. Let x be s(5). Suppose -4*o = -23 + 3. Suppose 0*z**4 + x*z**2 + 0 - 1/2*z + z**3 - 1/2*z**o = 0. Calculate z.
-1, 0, 1
Let l(i) be the first derivative of -i**4/26 - 2*i**3/13 + 8*i/13 + 2. Solve l(a) = 0.
-2, 1
Suppose -2*s - 12 = -5*s. Let l be (-30)/((-1)/s*6). Let -l*z**2 + 4*z - z + z**3 + 2 - 22*z**3 = 0. Calculate z.
-1, -2/7, 1/3
Let n(y) be the third derivative of -y**6/24 - y**5/4 - 5*y**4/12 - 13*y**2. Factor n(c).
-5*c*(c + 1)*(c + 2)
Let o(x) be the second derivative of -x**5/25 + x**4/30 + 4*x**3/15 - 3*x**2/2 - 3*x. Let f(u) be the first derivative of o(u). Solve f(q) = 0.
-2/3, 1
Let y(o) be the first derivative of -o**4/20 - 8*o**3/5 - 96*o**2/5 - 512*o/5 - 18. Factor y(t).
-(t + 8)**3/5
Let u(t) = 2*t + 4*t + t**2 + 0*t**2 + 5*t**2 - 11. Let m(w) = w**2 + w - 2. Let b(h) = 22*m(h) - 4*u(h). Factor b(s).
-2*s*(s + 1)
Let a = -4 - -7. Suppose -z = a*z - 16. Factor u**5 + u - u**4 - 3*u**z + 6*u**3 + 0*u**4 - 4*u**2.
u*(u - 1)**4
Let y be 2/(-5 - -1)*-2. Factor 0*d**3 - y + 3*d - 2*d**3 + d**4 - d.
(d - 1)**3*(d + 1)
Let a = 13 - 7. Let r be a - (1 - (-1 - 0)). Factor -r + 5 - 3 - 2*o**2 + 6*o - 2.
-2*(o - 2)*(o - 1)
Let d(t) be the third derivative of t**6/480 + t**5/240 - t**4/48 + 6*t**2. Factor d(a).
a*(a - 1)*(a + 2)/4
Let u(k) be the second derivative of -k**4/6 + k**3/3 + 12*k. What is h in u(h) = 0?
0, 1
Suppose -2/13 + 16/13*p - 14/13*p**2 = 0. What is p?
1/7, 1
Let h(y) = 6*y**2 - 12*y - 4. Let g(u) = -5*u**2 + 11*u + 4. Let j(v) = 2*g(v) + 3*h(v). Suppose j(p) = 0. What is p?
-1/4, 2
Suppose 0 = 2*p - 23 + 7. Suppose -24*r + 20*r + p = 0. Suppose 1 + 1/2*y**r - 3/2*y = 0. What is y?
1, 2
Let v = -1 - -1. Find n such that 2/5*n**3 - 2/5*n**5 + 0 + 0*n**2 + v*n**4 + 0*n = 0.
-1, 0, 1
Factor -4 + 4 + c**3 - 3*c**3 - 2*c**4.
-2*c**3*(c + 1)
Suppose -2*a - 5*t = -a - 55, 3*a - 2*t - 114 = 0. Factor v**4 - 40 + v**3 + a.
v**3*(v + 1)
Let g(l) be the first derivative of l**6/540 + l**5/60 + 4*l**3/3 + 10. Let q(o) be the third derivative of g(o). Factor q(j).
2*j*(j + 3)/3
Let f = 667 + -658. Factor -f*l - 3/2*l**2 - 27/2.
-3*(l + 3)**2/2
Let b(c) be the first derivative of 0*c**2 - 8/15*c**5 + 3 + 5/6*c**4 - 4/9*c**3 + 1/9*c**6 + 0*c. Factor b(k).
2*k**2*(k - 2)*(k - 1)**2/3
Let b(r) be the third derivative of -1/1440*r**6 + 1/6*r**3 + r**2 - 1/120*r**5 + 0 + 0*r - 1/24*r**4. Let s(q) be the first derivative of b(q). Factor s(o).
-(o + 2)**2/4
Suppose 2*t = -s + 2, 0 = -s - 5*t - 2 + 7. Suppose 2/3*h**4 + 2/3*h**5 - 2/3*h**3 + 0 - 2/3*h**2 + s*h = 0. Calculate h.
-1, 0, 1
Let k(m) be the third derivative of -m**5/12 + 15*m**4/8 - 20*m**3/3 - 8*m**2. Factor k(y).
-5*(y - 8)*(y - 1)
Factor 5*j**3 + 64*j + 13 + 32*j**2 - 13 - j**3.
4*j*(j + 4)**2
Let c be (-8)/(0 + -3 - -1). Factor -q**5 + 4*q**2 + 2*q**3 - q + 0*q - c*q**2.
-q*(q - 1)**2*(q + 1)**2
Suppose -6*q + 4*q = 4*q. Let y(z) be the first derivative of -1/2*z**6 + 0*z**3 - 3/5*z**5 + 0*z + 2 + q*z**2 + 0*z**4. Find h, given that y(h) = 0.
-1, 0
Let x(l) = -2*l**3 - 4*l**2 + 4*l - 4. Let f(q) = 2*q**3 + 5*q**2 - 5*q + 5. Let w(m) = 4*f(m) + 5*x(m). Factor w(p).
-2*p**3
Let b(t) be the second derivative of -t**5/10 - t**4/3 + t**3/3 + 2*t**2 - 4*t. Factor b(s).
-2*(s - 1)*(s + 1)*(s + 2)
Let s(g) = -g**3 + 5*g**2 + g + 2. Let h be s(5). Suppose h*y - 2*y = 40. Factor 0*w + 2*w + 2*w**2 - 10*w + y.
2*(w - 2)**2
Suppose -3*c - 5 + 11 = 0. Let s(g) be the first derivative of 3 - 4/15*g**3 + 0*g + 0*g**4 + 1/5*g**c - 1/15*g**6 + 4/25*g**5. Factor s(n).
-2*n*(n - 1)**3*(n + 1 | {
"pile_set_name": "DM Mathematics"
} |
8. Let d be m(4). Let c be (8/(-6))/(4/d). Let o(n) = n + n - n - c. Give o(-6).
-10
Let i(g) be the first derivative of g**3/3 + 2*g**2 - 10*g - 14. Let r be i(-6). Suppose -2*k + 2 = -r. Let u(h) = -5*h + 1. Calculate u(k).
-9
Let p(n) be the second derivative of n**3/6 - 6*n**2 + 3264*n - 2. Suppose -3*k + 10 = -2*k. Give p(k).
-2
Let d(k) = -2*k**3 + 209*k**2 - 116*k + 1241. Let x be d(104). Let o(g) = -3*g + 18. What is o(x)?
39
Let m(p) = -6*p - 10. Suppose -184 = 4*v - 4*g - 160, 0 = 2*v + 3*g + 42. Give m(v).
62
Let a(s) = 65*s - 689. Let m(z) = 33*z - 337. Let j(u) = -2*a(u) + 5*m(u). Determine j(9).
8
Let y(c) = c**2 + 237*c - 1714. Let j be y(7). Let o(q) = -q**2 - 8*q - 12. Give o(j).
0
Let t(v) = v**2 + 8*v + 11. Let u be 2/(275/(-70) - -4). Suppose 0 = -3*a + u + 71. Suppose -3*q + 2 = -i - q, a = -3*i - 3*q. Give t(i).
11
Let l(w) = -w**3 + w + 1. Let r(p) = -13*p**2 - p + 1. Let j be r(2). Let g = j - -54. Suppose -g = 2*v + 1. Calculate l(v).
1
Let z(r) = 2*r**3 + 31*r**2 + 10*r - 117. Let l be z(-15). Let n be (10/6)/(1/(-24)). Let v = l - n. Let x(c) = -c**3 - 5*c**2 - 3*c. Give x(v).
-6
Let k(q) = 5*q - 22*q + 594 - 73 - 19*q + 67. Determine k(16).
12
Suppose -3*b - 21 = -2*s - s, -3*s - 3 = b. Let c(z) be the third derivative of -z**4/12 - 7*z**3/6 - 426*z**2 + 2*z + 2. Calculate c(b).
5
Let z(y) = 2*y**3 - y**2 + 6*y - 4. Suppose 4*m + 16 = 4*h, 4*m - 3*h + 13 = 2*m. Let v be z(m). Let t(f) = -2 + 0*f + f**2 - 2*f**2 + f. Give t(v).
-8
Let m(h) = 9*h**3 - 10*h**2 + 21*h - 9. Let q(k) = -4*k**3 + 4*k**2 - 9*k + 4. Let y(g) = 6*m(g) + 14*q(g). Let l = 4 - 7. What is y(l)?
20
Suppose 3*g = 8*g - 5, 0 = 3*k + 5*g - 32. Let v(m) = -13 + 10*m + 146*m**2 + 117*m**2 - 264*m**2. What is v(k)?
-4
Suppose 0 = 7*h - 1 - 27. Suppose -h*y - 4 = -16. Suppose 11 - 2 = y*j. Let c(d) = d - 4. Give c(j).
-1
Let t(j) be the first derivative of j**2/2 - 20*j - 1893. Calculate t(-9).
-29
Let j(o) be the second derivative of o**4/12 - 4*o**3/3 + o**2/2 + 332*o + 4. Calculate j(11).
34
Let m(f) = 7*f**3 + 17*f**2 + 13*f - 4. Let x(y) = 12*y**3 + 34*y**2 + 27*y - 10. Let i(g) = 5*m(g) - 3*x(g). Determine i(-16).
10
Let v(y) = -56*y + 173*y + y**2 - 63*y - 61*y + 9. Calculate v(5).
-1
Suppose 0 = -3*t + a + 8, 21 = -4*t + 5*a - 10*a. Let j be 3*t/(3/(-7)). Let h(p) = -278*p - 3 + 14 + 279*p. What is h(j)?
4
Suppose -2*q = -12*q + 40. Let b(f) = -2*f + q*f + 0 + 5 - 1. Give b(10).
24
Let a(q) be the third derivative of -58*q**2 + 0 + 2/3*q**3 + 1/4*q**4 + 0*q. Let u be (-3)/(-1 + 3 + -1). Give a(u).
-14
Let f(s) = 11 - 2*s - s + 4*s + 0. Let w be (-836)/110 + 6/10. Give f(w).
4
Let c(y) be the second derivative of y**5/20 + y**4/2 + 4*y**3/3 - 2*y**2 - 1340*y. Calculate c(-4).
-4
Let z(q) = -q**2 - 12*q + 3. Let o(k) = 4*k - 40. Let n be o(7). Let j be ((-100)/42 + (-8)/n)*7. Determine z(j).
3
Let h(d) = d + 1. Let s = -67 + 67. Suppose s = -114*n + 113*n - 2. Give h(n).
-1
Let r(u) = -2*u**2 + u - 2. Let v be ((-14)/35)/(2/10). Let q be (344/16)/((v/(-1))/4). Let m = q - 40. Give r(m).
-17
Let x(p) = 4*p - 51 + 168 - 52 - 48. Give x(4).
33
Let q(d) = -d. Let m(s) = -16*s + 3. Let w(u) = -m(u) + 3*q(u). Let i(z) = -27*z - 619. Let a be i(-23). Give w(a).
23
Suppose 4*r = -5*a + 4, 5*a + 32 = -5*r + 47. Let s(i) = 5*i - 4. Let b(p) = -9*p + 7. Let k(n) = 4*b(n) + 7*s(n). Calculate k(a).
8
Let i(j) = j**3 + 16*j**2 + 17*j + 22. Let d(b) = 19*b**2 - 18*b - 15. Let o be d(0). Calculate i(o).
-8
Let p(g) = -g**2 + 6*g + 4. Let d = -27 - -29. Suppose -2*s - 46 = -a, -d*s = 3*a - 2*a - 26. Let y = a - 30. Give p(y).
4
Suppose 72*q = -27*q + 297. Let g(l) = -4*l - l - 2 + 0*l. Give g(q).
-17
Let l(u) = -u**3 - u**2 + 7*u - 4. Suppose 249*s - 133*s - 879 = -177*s. Give l(s).
-19
Let a = -9 + 19. Let b(x) = 5817*x + 11*x**2 - x**3 - 5826*x + 588 - 592. Determine b(a).
6
Let f(i) = i**3 - 3*i**2 - i - 3. Let o(j) = j**3 - 2*j**2 - 2*j - 5. Let y be 4*(-10)/25*(-20)/(-8). Let a(w) = y*f(w) + 3*o(w). Determine a(4).
21
Let t(j) = -j**2 - 9*j - 12. Let n be (5 - 9) + 0 + 31. Suppose -n*q + 1065 = -12*q. Suppose 4*f + q - 39 = 0. Give t(f).
-4
Let g(c) = c. Let k(x) = -6*x - 15. Let r be k(-6). Suppose 2*l - r = 5*i, 2*i + 5*l = -2*i + 3. Let j be -2 + (i - -4) - 5. Calculate g(j).
-6
Let c(z) be the second derivative of z**5/20 - 3*z**4/4 + 5*z**3/2 - 57*z**2/2 - 234*z. What is c(8)?
-1
Let g(s) = s**2 + 13*s + 13. Let k = -428 + 421. Let q be (k - (2 - -5))*1. Give g(q).
27
Let t(d) be the first derivative of -d**4/4 + d - 54. Let x be -1 + (1 - 0) + (7 - 7). Calculate t(x).
1
Let i(m) = -m + 43. Let w(u) = -u + 20. Suppose 5*h = 4*h - s - 11, -h + 2*s + 4 = 0. Let l(b) = h*i(b) + 13*w(b). Give l(1).
-5
Let h be (((-36)/5)/(-3))/(1/5). Let n(o) = -h + 10 + 2*o + 5. Determine n(-4).
-5
Let b(f) = f**3 + 8*f**2 + 7*f - 3. Let j = 264 - 271. Give b(j).
-3
Let a(t) be the first derivative of -t**3/3 - 13*t**2 + 55*t - 236. Calculate a(-28).
-1
Let v(d) = 11*d**2 + 160*d - 538. Let h(u) = 3*u**2 + 40*u - 134. Let q(w) = 15*h(w) - 4*v(w). Determine q(36).
-2
Let o(y) = -18 - 111*y + 34*y + 4*y**2 + 25*y + 35*y - 5*y**2. Calculate o(-16).
-2
Let q(c) = c**2 - 14*c - 8. Let d(y) = -y**2 + 16*y + 9. Suppose 2*w = 5 - 17. Let b(t) = w*q(t) - 5*d(t). Calculate b(6).
-9
Let a(m) be the third derivative of 0*m + 61*m**2 + 1/2*m**3 - 1/24*m**4 + 0. Let i = -10 + 17. Determine a(i).
-4
Let q(d) = 5*d**2 + 35*d + 11. Let t(f) = 2*f**2 + 12*f + 4. Let l(o) = -o**2 - 13*o + 22. Let u be l(-14). Let r(a) = u*t(a) - 3*q(a). Give r(7).
-15
Let a(w) = -2*w + 1. Let n be 14/63 - (-17052)/54. Suppose 24 = -324*y + n*y. Give a(y).
7
Let q = -13 + 23. Let l(f) = -8141 + 24394 - 8124 - 8130 - f. Give l(q).
-11
Let n(m) be the second derivative of m**4/6 + 5*m**3/3 + 21*m**2/2 - 5682*m. Give n(-10).
121
Let c(o) = -5*o**2 + 37*o - 3. Let w be c(7). Suppose 4 + w = -5*j. Let r(v) = 7*v. Determine r(j).
-21
Let s(h) = -h**2 - 15*h + 59. Let g(z) = -z**2 - 16*z + 56. Let m(w) = 4*g(w) - 3*s(w). Give m(-21).
5
Let z(w) = -w**2 + 14*w - 14. Let n be z(13). Let k = -4 + n. Let m(c) be the second derivative of c**4/12 + 2*c**3/3 + c**2 + c + 96. What is m(k)?
7
Let h(i) = -i**3 + 3*i**2 - 3*i + 1. Let c = 218 - 221. Let m be 6 + -3 + c + 3. Give h(m).
-8
Let t(i) be the first derivative of -22*i**3/3 - i**2/2 - 195*i + 177. Let f(r) be the first derivative of t(r). What is f(1)?
-45
Let y(g) = 3 + 15 - 4 + 5 - 4 + 11*g. Determine y(-1).
4
Let o(c) be the first derivative of -1/2*c**2 - 65 + c. Determine o(6).
-5
Let z(r) = r**3 + 5*r**2 - 2*r - 7. Let x be 432/96 + (-10)/(-4). Suppose -x*k + 0*k - 35 = 0. Calculate z(k).
3
Let c = 3 - 1. Let h(l) = -2*l - 78*l**2 - 1 + 19*l**2 + 3*l**2 + 41*l**2 + 19*l**2. Calculate h(c).
11
Let j(d) = 13*d + 1. Let o(n) = n - 1. Let c(f) = j(f) - 2*o(f). Let v be 0/(-2) + -7 + 25/5. Determine c(v).
-19
Suppose -5*k + 4 = -16. Let d(u) = 4*u**2 + k*u + 4*u**2 - 9*u**2 + 6 - 5*u. Give d(-3).
0
Let f(m) = 22*m**2 + 14*m - 29. Let k(v) = -9*v**2 - 8*v + 13. Let h(p) = 2*f(p) + 5*k(p). Calculate h(-12).
7
Let o(l) = -3*l - 20. Let v be 146/292 - 5/2. Give o(v).
-14
Let j(r) = r**2 - 2*r - 8. Let d(x) = x**2 + 25*x - 181. Let h be d(-31). Determine j(h).
7
Let s(t) = t + 1. Let c(k) = -k**2 - 4*k - 9. Let i = 81 + -85. Let b be c(i). Let v be (-1)/(-3*1/b). Give s(v).
-2
Let d be 3/3*2/1. Suppose 4*l - 3*f - 1885 = 0, 4*l - 7*l + 1435 = 2*f. Let z(p) = l - 476 + p + p. Determine z(d).
3
Let f(d) = -d - 15. Let n(w) = w**2 + 6*w - 9. Let h be n(-8). Suppose -8*s + 19 = -9*s - 2*o, -3*s + 4*o = h. What is f(s)?
-6
Let a(v) = 43*v**2 + 21*v + 69. Let z(c) = 9*c**2 + 4*c + 16. Let n(y) = -4*a(y) + 19*z(y). What is n(-12)?
-20
Let m(z) = -4*z**3 - 10*z**2 - 10*z - 2. Suppose -12 = -15*a + 9*a. Let t(y) = -3*y**3 - 8*y**2 - 8*y - 2. Let b(k) = a*m(k) - 3*t(k). Determine b(-3).
-1
Let p(o) = -61*o**2 - 3*o + 119*o**2 + o - 59*o**2. What is p(0)?
0
Let x be 1*(-1 - 0/1). Suppose 5*l + 211 - 191 = 0. Let h = l - x. Let u(o) = 2*o + 1. Give u(h).
-5
Let b(v) be the first derivative of -5/2*v**2 + 137 + 5*v - 1/3*v**3. Suppose -t - 7 = t + 5*o, -2 = -2*o. What is b(t)?
-1
Suppose 54*w + 280 = 62*w. Let d(o) = -82*o + 6 + 44*o + w*o - 2. Give d(2).
-2
Let v(c) = 109*c**2 + | {
"pile_set_name": "DM Mathematics"
} |
5/3*u**2 + 10/3*u**5 = 0.
-1/2, 1, 446
Let c(x) = -x**4 + x**3 + x**2 - x. Let o(f) = -4*f**5 - 18*f**4 - 18*f**3 - 6*f**2 - 2*f. Let h be (-1)/(3 + 15/(-6)). Let s(d) = h*c(d) + o(d). Factor s(r).
-4*r**2*(r + 1)**2*(r + 2)
Let m(p) be the third derivative of -p**8/336 - 19*p**7/70 - 149*p**6/20 - 235*p**5/6 - 747*p**4/8 - 243*p**3/2 - 3195*p**2 - 2*p. Suppose m(q) = 0. What is q?
-27, -1
Let a = -18044/11 + 90264/55. What is z in -1/5*z**3 + a*z**2 - 1/5*z - 6/5 = 0?
-1, 2, 3
Let r(q) = q**3 - 2*q**2 - 4*q - 8. Let x be r(4). Determine z so that -13*z - 20*z**2 + 43 - 10*z**3 + 15*z - 12*z**2 + x*z**3 - 11 = 0.
-16, -1, 1
Suppose 98/3*n**2 + 68/3*n - 2*n**3 - 34/3*n**4 + 2/3*n**5 + 0 = 0. Calculate n.
-1, 0, 2, 17
Let q(x) = x**3 + 19*x**2. Let t(s) = s**3 + 55*s**2 - 55*s + 39. Let n(i) = 4*q(i) - 2*t(i). Find l such that n(l) = 0.
1, 3, 13
Let y = -131627 + 394882/3. Solve 0*c - y*c**3 - c**2 + 0 = 0 for c.
-3, 0
Suppose -43*o = -53*o + 50. Let g be 6/o*-25*(-6)/420. Factor 12/7 + g*n**2 - 12/7*n.
3*(n - 2)**2/7
Let f be (39/(-315))/((-28)/5 - -6). Let x = 1699/210 - f. Solve -6/5*k + 42/5*k**2 - x*k**4 + 6/5*k**3 + 0 = 0.
-1, 0, 1/7, 1
Factor -2303*j**3 - 18*j**2 + 2305*j**3 - 12 - 2*j**4 + 3*j**4 - j**2 + 28*j.
(j - 2)*(j - 1)**2*(j + 6)
Let h(f) = -5*f**3 - 619*f**2 - 1336*f - 245. Let r(p) = 5*p**3 + 620*p**2 + 1337*p + 246. Let n(g) = 4*h(g) + 3*r(g). Determine u, given that n(u) = 0.
-121, -2, -1/5
Suppose 0 = 2*l + 87*b - 83*b - 54, -l = -5*b + 22. Let n(a) be the third derivative of 0*a - 1/240*a**5 + 1/16*a**4 - 3/8*a**3 + l*a**2 + 0. Factor n(i).
-(i - 3)**2/4
Let p(y) = -7 + 2*y - 4 + 23 - 1 - 12. Let x(v) = 4*v**2 - 104*v + 412. Let o(q) = -12*p(q) - x(q). Find f, given that o(f) = 0.
10
Let m be 10/(-2) - (-14 + (2 - -3)). Let w be m/(-1) + -2*(-104)/48. Factor -13/3*j**2 + w - 10/3*j**3 - 2/3*j.
-(j + 1)*(2*j + 1)*(5*j - 1)/3
Let w = -823 + 1694. Suppose 15 - 3*q**2 + 42 + 841*q + 15 - w*q = 0. Calculate q.
-12, 2
Let u(y) be the first derivative of 2/3*y**3 + 0*y + y**5 - 7/4*y**4 + 154 + 0*y**2. Factor u(c).
c**2*(c - 1)*(5*c - 2)
Let d(w) = 52*w - 164. Let u be d(3). Let t be 4/18*(-6)/u. Factor 1/3 - 1/6*s**2 + t*s.
-(s - 2)*(s + 1)/6
Let x(i) be the third derivative of 432/13*i**3 - 31*i**2 + 36/65*i**5 + 2/65*i**6 + 72/13*i**4 - 2 + 1/1365*i**7 + 0*i. Find j, given that x(j) = 0.
-6
Let x = -20191 - -20194. Let h(i) be the second derivative of 1/7*i**7 + 24*i - 1/3*i**6 + 0 + 0*i**x + 0*i**2 + 1/6*i**4 + 1/10*i**5. Solve h(w) = 0.
-1/3, 0, 1
Let b(o) be the first derivative of 0*o**2 - 1/6*o**4 - 16/9*o**3 + 0*o - 29. Suppose b(w) = 0. Calculate w.
-8, 0
What is t in -444/7*t**2 + 30/7*t**3 + 3/7*t**4 - 855/7 + 1266/7*t = 0?
-19, 1, 3, 5
Let r(k) be the first derivative of 5*k**6/6 + 9*k**5 - 140*k**4 - 2949. Determine s so that r(s) = 0.
-16, 0, 7
Let c = -63 - -65. Let w be c - ((-9)/(-9))/(7/11). Find f such that -w*f - 1/7 - 3/7*f**2 - 1/7*f**3 = 0.
-1
Let p be (-44596)/252 + 5*4/180. Let w = -176 - p. Let 12/7*u**2 - w*u**3 + 3/7 - 10/7*u + 1/7*u**4 = 0. What is u?
1, 3
Suppose 140*z = 130*z + 30. Let h(c) be the first derivative of -16 - 2/11*c**z + 0*c + 0*c**4 + 2/55*c**5 - 2/11*c**2. Factor h(r).
2*r*(r - 2)*(r + 1)**2/11
Let v(k) be the first derivative of 0*k + 11/8*k**4 - 3*k**3 + 2*k**2 - 109 - 1/12*k**6 + 0*k**5. Determine h, given that v(h) = 0.
-4, 0, 1, 2
Let i = -1/602052 - -64218881/602052. Suppose -256/3*r + 10/3*r**3 + i - 2/3*r**4 + 12*r**2 = 0. Calculate r.
-5, 2, 4
Suppose -130/7*w + 372/7 + 2/7*w**2 = 0. What is w?
3, 62
Let w(a) = -a**2 - 2139*a + 2134. Let f(v) = -18*v**2 - 34224*v + 34143. Let s(t) = -2*f(t) + 33*w(t). Suppose s(b) = 0. What is b?
1, 712
Let p(y) be the third derivative of -6*y**7/35 - y**6/30 + 26*y**5/15 - 8*y**4/3 - 180*y**2 + 2*y. Factor p(n).
-4*n*(n - 1)*(n + 2)*(9*n - 8)
Factor -2141*u + 60*u**2 - 12*u**2 + 65*u**3 - 89*u**4 + 2171*u + 108*u**4 + u**5 + 29*u**2.
u*(u + 1)**2*(u + 2)*(u + 15)
Let c(b) = -3*b**4 - 146*b**3 - 2276*b**2 - 9768*b - 11616. Let r(d) = 3*d**4 + 147*d**3 + 2274*d**2 + 9768*d + 11616. Let p(u) = -3*c(u) - 4*r(u). Factor p(a).
-3*(a + 2)*(a + 4)*(a + 22)**2
Let p(j) = -60*j - 10. Let s be p(-4). Let x be (23/46)/(s/(-116) + 2). Determine g, given that -20*g**3 + 3*g + x*g**3 - 23*g**2 + 6*g - 7*g**2 = 0.
0, 1/3, 3
Let a(o) be the first derivative of 4*o**5/5 - 191*o**4 + 12287*o**3 - 18145*o**2 + 9025*o - 7454. Solve a(s) = 0 for s.
1/2, 95
Let y(d) be the first derivative of -d**7/2940 - 2*d**6/105 + d**5/420 + 2*d**4/7 - 295*d**3/3 - 124. Let z(g) be the third derivative of y(g). Factor z(t).
-2*(t - 1)*(t + 1)*(t + 24)/7
Let n(t) be the first derivative of 28*t + 0*t**2 + 1/33*t**3 - 3 - 1/66*t**4. Let m(l) be the first derivative of n(l). Solve m(o) = 0 for o.
0, 1
Determine l, given that 22*l**4 + 94/5*l**3 - 156/5*l**2 + 16 - 152/5*l + 24/5*l**5 = 0.
-2, 5/12, 1
Let p = 21470 + -21374. Factor p + 75/2*w**2 + 120*w.
3*(5*w + 8)**2/2
Solve 992*v - 1910*v - 3*v**3 - 4782*v - 368*v**2 - 27000 + 62*v**2 - 24*v**2 = 0 for v.
-90, -10
Let 82/7*l + 2/7*l**4 - 12 + 18/7*l**2 - 18/7*l**3 = 0. What is l?
-2, 1, 3, 7
Let m(s) = 13*s**2 - 517*s - 984. Let t(i) = -140*i**2 + 5685*i + 10825. Let n(r) = 65*m(r) + 6*t(r). What is w in n(w) = 0?
-99, -2
Let s(u) be the first derivative of -55/2*u**2 + 135 + 5/3*u**3 + 0*u. Find x, given that s(x) = 0.
0, 11
Let q(g) = 8*g**3 + 8*g**2 - 8*g + 16. Let u(y) = 2 + y**3 - 4 + y**2 - y + 3. Suppose 4*d = 40 + 8. Let j(z) = d*u(z) - q(z). Find b, given that j(b) = 0.
-1, 1
Let a = -11 - -19. Determine f so that -252*f + a + 279*f**2 + 154*f**2 + 155*f**2 + 19 = 0.
3/14
Let v = -3569 - -10712/3. Let n(o) be the second derivative of 1/2*o**5 - 5*o**2 + 0 - 1/3*o**6 - 5/6*o**3 - 5/42*o**7 + 11*o + v*o**4. Let n(t) = 0. What is t?
-2, -1, 1
Let c(k) be the third derivative of -1/210*k**7 + 0*k**5 + 2*k**2 - 2 + 0*k - 1/20*k**6 + 0*k**4 + 0*k**3. Factor c(a).
-a**3*(a + 6)
Let j(h) = h**2 + h - 44. Let z be j(7). Factor -60 - 38*s**2 + 43*s**2 - z*s + 7*s.
5*(s - 4)*(s + 3)
Let g be (1 + 2)/75*10/72. Let d(k) be the third derivative of -k**2 + 0 + 1/3*k**3 - 7/36*k**4 + 0*k - g*k**6 + 1/18*k**5. Factor d(y).
-2*(y - 3)*(y - 1)**2/3
Factor -327*x**2 - 342*x**2 + 664*x**2 - 1220 + 620*x.
-5*(x - 122)*(x - 2)
Suppose 3*a - 2*o = -4, 2*o = 2*a - 0*o + 4. Let u be a + ((-80)/(-140) - (-8)/(-14)). Suppose 0*v**3 + 0 + u*v**2 + 1/5*v**4 + 0*v = 0. Calculate v.
0
Let n(i) = 43*i**2 + 11139*i + 5589. Let v(j) = -32*j**2 - 8356*j - 4192. Let f(o) = 8*n(o) + 11*v(o). Determine y, given that f(y) = 0.
-350, -1/2
Let b(k) = 4*k**3 - 374*k**2 - 48*k. Let u(d) = -8*d**3 + 747*d**2 + 120*d. Let f(s) = 5*b(s) + 2*u(s). Factor f(z).
4*z**2*(z - 94)
Let i(g) be the first derivative of -g**4/32 + 3*g**3/8 + 21*g**2/16 - 169*g - 89. Let y(s) be the first derivative of i(s). Factor y(x).
-3*(x - 7)*(x + 1)/8
Suppose 6473 - 3263 = -32*v + 3274. Let r(z) = -z**2 - 5*z + 3. Let b be r(-5). Factor 3/4*l**5 + 0*l**b - 3*l**v + 0 + 0*l + 9/4*l**4.
3*l**2*(l - 1)*(l + 2)**2/4
Let c(s) be the third derivative of 0 + 1/35*s**5 + 57*s**2 - 2/3*s**3 + 0*s - 10/21*s**4. Determine v so that c(v) = 0.
-1/3, 7
Let -47105*s + 2860 + 23560*s + 22953*s + 4*s**2 = 0. What is s?
5, 143
Factor -3/4*n**3 - 99/4*n**2 + 171 + 147*n.
-3*(n - 6)*(n + 1)*(n + 38)/4
Let v(l) be the second derivative of 0*l**2 - 4/5*l**4 + 0 - 4/25*l**6 - 2/105*l**7 + 204*l - 13/25*l**5 - 8/15*l**3. Determine d, given that v(d) = 0.
-2, -1, 0
Suppose -2*x = 4*h - 2, -2*x + 20*h + 12 = 14*h. Suppose -1/10*t**x + 0 + 2/5*t + 3/10*t**2 = 0. Calculate t.
-1, 0, 4
Let o(j) = -45*j**2 - 145*j - 125. Let f(h) = 11*h**2 + 36*h + 31. Let s = 136 + -161. Let v(b) = s*f(b) - 6*o(b). Factor v(l).
-5*(l + 1)*(l + 5)
Find r such that 1056/5 + 3/5*r**2 + 114/5*r = 0.
-22, -16
Suppose 18*n + 27 = -45. Let p(r) = 3*r**3 - 31*r**2 + 5*r + 5. Let v(j) = 2*j**3 - 30*j**2 + 4*j + 4. Let g(y) = n*p(y) + 5*v(y). Factor g(s).
-2*s**2*(s + 13)
Solve 4/7*y**2 + 2/7*y**3 + 0 - 16/7*y = 0.
-4, 0, 2
Let a(u) = 17*u**4 - 57*u**3 + 104*u**2 - 96*u + 41. Let j(t) = 4*t**4 - 14*t**3 + 26*t**2 - 24*t + 10. Let l(v) = 2*a(v) - 9*j(v). Factor l(o).
-2*(o - 2)**2*(o - 1)**2
Let y(q) = q**3 + q**2 - 13*q + 3. Let s be | {
"pile_set_name": "DM Mathematics"
} |
d and 3 u?
8/21
Two letters picked without replacement from iiclillxckklixlgi. Give prob of picking 1 g and 1 x.
1/68
What is prob of picking 4 a when four letters picked without replacement from aooaaoa?
1/35
Three letters picked without replacement from eelejeeehkd. Give prob of picking 1 e, 1 d, and 1 j.
2/55
What is prob of picking 1 v, 2 r, and 1 o when four letters picked without replacement from {o: 1, v: 2, p: 1, g: 1, r: 2}?
2/35
Calculate prob of picking 2 t when two letters picked without replacement from {x: 8, a: 4, t: 4}.
1/20
Calculate prob of picking 1 i, 1 n, and 1 y when three letters picked without replacement from {t: 2, n: 1, d: 4, y: 2, i: 5, k: 1}.
2/91
What is prob of picking 3 q when three letters picked without replacement from {c: 5, h: 2, q: 3}?
1/120
Calculate prob of picking 1 w and 1 g when two letters picked without replacement from gggww.
3/5
Two letters picked without replacement from sruiscddi. What is prob of picking 1 u and 1 s?
1/18
Three letters picked without replacement from uababowuoaoaaaoouuu. What is prob of picking 1 b, 1 w, and 1 u?
10/969
Calculate prob of picking 1 f and 1 k when two letters picked without replacement from hohoffhhhhhkhohqh.
1/68
Two letters picked without replacement from {n: 2, r: 3, k: 3, j: 1, o: 2, u: 1}. Give prob of picking 1 r and 1 o.
1/11
Three letters picked without replacement from zkkkazekt. What is prob of picking 1 k, 1 z, and 1 t?
2/21
Calculate prob of picking 2 d and 1 n when three letters picked without replacement from nddddddndnn.
28/55
What is prob of picking 3 x when three letters picked without replacement from xexwxwexeeex?
1/22
Calculate prob of picking 1 y, 1 q, and 1 t when three letters picked without replacement from fyqst.
1/10
Calculate prob of picking 2 l and 2 y when four letters picked without replacement from {y: 4, l: 3}.
18/35
Two letters picked without replacement from qjqq. Give prob of picking 2 q.
1/2
Two letters picked without replacement from attpmat. What is prob of picking 2 a?
1/21
Two letters picked without replacement from xjxdxixxxijihiijh. Give prob of picking 1 x and 1 i.
15/68
What is prob of picking 2 o and 2 a when four letters picked without replacement from haaoookhoooo?
7/165
Three letters picked without replacement from peurbpuerpbepubpeuu. What is prob of picking 1 p, 1 b, and 1 e?
20/323
What is prob of picking 1 y and 1 t when two letters picked without replacement from {y: 2, t: 3, e: 9, z: 4}?
2/51
What is prob of picking 2 t when two letters picked without replacement from {t: 8, b: 2, s: 4}?
4/13
What is prob of picking 3 f when three letters picked without replacement from {r: 2, p: 1, f: 4, n: 1, v: 2}?
1/30
Three letters picked without replacement from slhllshllhsqlhh. What is prob of picking 1 s and 2 h?
6/91
What is prob of picking 2 n when two letters picked without replacement from {n: 9, g: 7}?
3/10
Calculate prob of picking 1 e, 2 v, and 1 y when four letters picked without replacement from yeeevvyeevyeyeveyeey.
24/323
Calculate prob of picking 2 e and 2 w when four letters picked without replacement from {w: 3, e: 4, g: 2}.
1/7
Calculate prob of picking 2 x, 1 l, and 1 s when four letters picked without replacement from {o: 1, l: 10, s: 1, x: 3}.
2/91
Calculate prob of picking 1 x, 2 z, and 1 h when four letters picked without replacement from {h: 8, x: 4, z: 8}.
896/4845
Three letters picked without replacement from {u: 2, s: 15, e: 3}. What is prob of picking 1 e and 2 s?
21/76
Calculate prob of picking 2 p and 1 a when three letters picked without replacement from apapppappp.
21/40
Three letters picked without replacement from jjlljlhjjhjjlllljl. What is prob of picking 1 l and 2 j?
14/51
Calculate prob of picking 1 x, 1 i, and 2 h when four letters picked without replacement from {l: 1, b: 3, i: 1, h: 4, x: 1, m: 5}.
2/455
Two letters picked without replacement from {d: 4, a: 8, k: 4}. Give prob of picking 1 a and 1 d.
4/15
Two letters picked without replacement from jjjmjjxajjmcammmm. Give prob of picking 1 c and 1 j.
7/136
What is prob of picking 1 p, 1 x, and 1 e when three letters picked without replacement from plpjepljeqqx?
3/110
Two letters picked without replacement from {j: 4, k: 1, g: 5}. What is prob of picking 2 g?
2/9
Two letters picked without replacement from iofi. What is prob of picking 1 f and 1 i?
1/3
Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {t: 3, a: 5, w: 1, p: 1, x: 3, u: 1}.
15/91
Three letters picked without replacement from wgwwrrgwrrrwrrwrrr. What is prob of picking 3 r?
5/34
Two letters picked without replacement from zhxzzfd. Give prob of picking 1 f and 1 z.
1/7
Four letters picked without replacement from {z: 2, j: 2, g: 1, l: 1, n: 2, y: 1}. Give prob of picking 2 j, 1 n, and 1 z.
2/63
Calculate prob of picking 1 x, 2 l, and 1 k when four letters picked without replacement from {u: 3, k: 1, l: 9, x: 1}.
36/1001
What is prob of picking 2 j and 1 r when three letters picked without replacement from yirjytej?
1/56
Four letters picked without replacement from nngtggggn. Give prob of picking 2 n and 2 g.
5/21
What is prob of picking 2 n when two letters picked without replacement from nnnbnbbbnnnbbb?
3/13
Calculate prob of picking 3 k when three letters picked without replacement from {q: 4, k: 5, y: 1}.
1/12
What is prob of picking 1 g, 1 p, and 1 q when three letters picked without replacement from xpprgqprp?
1/21
What is prob of picking 2 o when two letters picked without replacement from {o: 6, k: 1, a: 4, p: 4}?
1/7
What is prob of picking 3 n when three letters picked without replacement from {c: 2, n: 9, t: 2}?
42/143
What is prob of picking 1 y and 2 q when three letters picked without replacement from {y: 5, d: 1, c: 5, q: 3, f: 3, l: 1}?
5/272
Four letters picked without replacement from {y: 7, i: 5}. What is prob of picking 4 i?
1/99
What is prob of picking 1 o, 1 l, 1 a, and 1 v when four letters picked without replacement from znznnznazozlzvlnvloz?
4/1615
Four letters picked without replacement from ruppr. Give prob of picking 2 r and 2 p.
1/5
Three letters picked without replacement from fronjuru. What is prob of picking 1 n, 1 u, and 1 j?
1/28
What is prob of picking 1 g and 1 w when two letters picked without replacement from {l: 3, w: 2, j: 5, g: 3, d: 2}?
2/35
Two letters picked without replacement from {r: 1, n: 3, s: 4, f: 3}. What is prob of picking 1 r and 1 s?
4/55
What is prob of picking 2 n when two letters picked without replacement from njjjjiiinnjninijinj?
5/57
Three letters picked without replacement from rzrztrzrzrrzrrtrzr. Give prob of picking 3 z.
5/204
What is prob of picking 3 o when three letters picked without replacement from czoccoocccczocoooo?
7/102
What is prob of picking 1 s and 1 y when two letters picked without replacement from {e: 6, y: 2, q: 1, v: 2, s: 5}?
1/12
What is prob of picking 2 t when two letters picked without replacement from {v: 2, t: 2, c: 5, y: 3}?
1/66
Calculate prob of picking 3 a when three letters picked without replacement from aaarraaa.
5/14
Two letters picked without replacement from {u: 5}. What is prob of picking 2 u?
1
What is prob of picking 2 z when two letters picked without replacement from zrrrrrzzrrrrrr?
3/91
Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {x: 6, p: 4}.
8/15
What is prob of picking 2 t and 2 k when four letters picked without replacement from gtttgkggtkggt?
2/143
Calculate prob of picking 1 a and 1 o when two letters picked without replacement from gygghgggaamhygoggg.
2/153
Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 5, p: 3, g: 4}.
10/33
Calculate prob of picking 2 e when two letters picked without replacement from {u: 1, w: 4, e: 2, t: 1, v: 2, g: 2}.
1/66
What is prob of picking 1 e and 1 v when two letters picked without replacement from evnnvevvvvnnvv?
16/91
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from wtxw.
1/3
Calculate prob of picking 1 f, 1 m, and 1 x when three letters picked without replacement from xxxmfxrxmxrrxmmrxmxr.
3/76
Two letters picked without replacement from {m: 2, g: 10}. Give prob of | {
"pile_set_name": "DM Mathematics"
} |
*c) + c - 4*c - 13*c).
100*c**5
Expand 63*t**4 - t**2 - 73*t**4 + 2*t**2 + (-t**2 - t**2 + t**2)*(t**2 + t**2 - t**2).
-11*t**4 + t**2
Expand (-2*d + 5*d - d)*(-137*d**3 + 14*d**3 - 118*d**3).
-482*d**4
Expand (-3*w - 2*w + 3*w)*(0*w + w + 0*w) - 6*w**2 - 5*w + 5*w + 93*w**2 + 9578*w - 9578*w.
85*w**2
Expand (t + 2 + 0 - 1)*(7*t - 13*t - 9*t)*(163*t - 163*t + 33*t**2).
-495*t**4 - 495*t**3
Expand (-o**2 - 2*o**2 - 6*o**2)*(-4*o - o + 9 - 1).
45*o**3 - 72*o**2
Expand (5 - 2*q - 5)*(-46*q - 18080 + 18080)*(6*q**3 - 2*q**3 - q**3).
276*q**5
Expand 8*l**4 + 25*l**2 - 25*l**2 + (-l**2 - 2*l**2 + l**2)*(-1 - 3*l - l + 3*l + 2*l**2).
4*l**4 + 2*l**3 + 2*l**2
Expand (-2*o + o - o)*(-16 + 8 - 8)*(-1 - 1 + 5 + (0 + 1 + 1)*(-4 + 4 + 1)).
160*o
Expand 4*q**3 - 4*q**3 + 2*q**3 + (-3 - 2 + 4)*(0*q + q**3 + 0*q) + (7*q**3 + 11 - 11)*((4 - 2 + 0)*(-2 - 5 + 2) + 4 - 5 + 3).
-55*q**3
Expand -35*z**5 + 14*z**5 + 3*z + 9*z**5 + (3*z - z + 0*z)*(3*z**4 - 5*z**4 + 4*z**4) - 2*z**5 - 3*z**5 + 6*z**5 - 4*z**5 + 3*z**5 - 3*z**5.
-11*z**5 + 3*z
Expand (26 + 15*a**3 - 26)*(a + 7 + a - 22).
30*a**4 - 225*a**3
Expand (2*r**2 - r**2 - 5*r**2)*(-2 + 6 - 1) + 26 - 11*r**2 - 26.
-23*r**2
Expand (m**3 + 0 + 0)*(m - 11*m + 0*m + (1 + 4*m - 1)*(-3 + 0 + 1)).
-18*m**4
Expand ((2*y - 6*y + 2*y)*(-y**3 + y**3 + 2*y**3) + y**4 - 3*y**4 + y**4)*(3*y + 2*y - 4*y).
-5*y**5
Expand ((0 + 2 - 3)*(-1 - 2 + 1) + (-4 - 2 + 1)*(0 + 1 - 4))*(0*z - z + 3*z) + 2*z + z - 2*z.
35*z
Expand (-1 - 7 + 4)*(-16*d**2 - 26*d**3 - 18*d**2 + 32*d**2).
104*d**3 + 8*d**2
Expand (-61*h - 65*h - 37 + 127*h)*(h**3 + 3*h**3 - 3*h**3)*(h - h + 3*h).
3*h**5 - 111*h**4
Expand -142*a + 142*a + 158*a**4 + (-a + 4*a - a)*(-4*a + 4*a - 2*a)*(0 - 2*a**2 + 0).
166*a**4
Expand (-p - p + 5*p)*(0 - 2 + 3)*(5*p - 2*p + p) - 54*p**2 + 26*p**2 - 11 + 30*p**2.
14*p**2 - 11
Expand (35*z**3 - 122*z**3 - 66*z**3)*(-3*z - z + 2*z).
306*z**4
Expand (0 + 3*v + 0)*(-2*v**2 - 3*v**2 + 4*v**2)*(-v - 5*v + 5*v)*(0*v + 0*v - 5*v)*(3 - 7 + 6).
-30*v**5
Expand (3*a - 4*a - 2*a)*(-2 + 3 + 1) - a - 4*a - 4*a + (-3*a + 0 + 0)*(-4 + 3 + 3).
-21*a
Expand (2*b**2 + 2*b**2 + 2*b**2)*(-6*b**2 + 7 - 7).
-36*b**4
Expand (2*y - 1 + 1)*(2*y**3 - 2*y**4 - 2*y**3) - 90*y**5 + 44*y**5 + 2*y**2 + 64*y**5.
14*y**5 + 2*y**2
Expand (-75 - 58 + 94)*(-a + 6*a + 0*a).
-195*a
Expand (-2*y + 6*y - 2*y)*(2*y - 2*y**2 - 2*y) + 0*y**3 - 5*y**3 + 3*y**3 + (0*y**2 - 2*y**2 + y**2)*(-11 + 11 - 6*y) - 3*y**3 - 4*y**3 + 6*y**3.
-y**3
Expand 0*u - u**5 + 0*u + (u**4 + 3*u**4 - 3*u**4)*(2*u - 3*u + 0*u) + 9*u**5 - 14*u**5 - 11*u**5 + (3*u**2 + 2*u**2 - 4*u**2)*(-4*u**3 + 0*u**3 + 3*u**3).
-19*u**5
Expand 2*c**3 - c**3 - 2*c**3 + 316*c**3 - 308*c**3 - 232*c**3 + 0*c**3 + 2*c**3 - 3*c**3 - 3*c**3 + 3*c**3 - c**3 + (0*c**3 + 2*c**3 - 3*c**3)*(-1 + 3 + 0).
-229*c**3
Expand (-7*a**2 + a**2 + a**2)*(-3 + 5 - 1)*(2*a + 5 + 5 + a).
-15*a**3 - 50*a**2
Expand (2*x**3 - x + x)*(-5 + 3 + 0)*(3*x**2 - 31*x + 31*x).
-12*x**5
Expand -4*h**3 + h**4 + 4*h**3 + (-33*h**3 + 35*h**3 - 34*h**3)*(-h + 2*h + 0*h).
-31*h**4
Expand (-t**3 - 10*t**2 + 9*t**2 - 4*t**2)*(-21*t + 21*t + 5*t**2).
-5*t**5 - 25*t**4
Expand -1465*l**2 + 1467*l**2 + 2 - 1 + 28*l + (-3*l + l + 4*l)*(l + l - l) + l**2 + 0*l**2 + 0*l**2.
5*l**2 + 28*l + 1
Expand 2*i**2 + i**2 - 2*i**2 + (2*i + 0 + 0)*(2*i - 2*i + i) - 11*i**2 + 12*i - 12*i - 4*i**2 + i**2 + 7*i**2.
-4*i**2
Expand (-4*a + 0*a - 12 + 11)*(0*a**3 - 10*a**3 - a**3).
44*a**4 + 11*a**3
Expand (3*f**4 - 16*f**2 + 16*f**2)*(0*f + 10*f + 18*f).
84*f**5
Expand (-2*b**3 + 2*b**4 + 2*b**3)*(-30*b + 6 - 9*b - 5).
-78*b**5 + 2*b**4
Expand (-2*a - a + 4*a + (4*a - 7*a + a)*(1 + 2 - 2) + 3*a - 5*a - a + 2*a + 3*a - 4*a)*(0 - 2 + 3 + (3 - 2 + 0)*(2 + 0 - 1)).
-6*a
Expand (-165*p - 31 + 10 + 22)*(1 + 0*p**2 + 1 + 2*p**2).
-330*p**3 + 2*p**2 - 330*p + 2
Expand (2*a**3 + 2*a**3 - 5*a**3)*(-434*a - 1347*a**2 - 441*a + 875*a).
1347*a**5
Expand (-5*t - 9*t - 9*t)*(-32 + 16 + 5).
253*t
Expand (-4*q**2 + 3*q**3 + 4*q**2)*(-9*q**2 - 5*q - 11*q**2 + 2*q) + (2*q**3 - 2*q**3 + 2*q**4)*(q + q + q).
-54*q**5 - 9*q**4
Expand 2*s**4 + 0*s**4 - s**4 + (2 - 2*s**3 - 2)*(-5*s + 0*s + 6*s) - 5*s**4 + 4*s**4 - s**4 + (25*s**3 - 15*s**3 - 16*s**3)*(-3 + 2*s + 3).
-15*s**4
Expand ((-a + 0*a + 2*a)*(-3 + 6 - 1) + a + a + 2 + 0)*(3*a**2 + 8*a**2 - 4*a**2).
28*a**3 + 14*a**2
Expand 3*c**2 + 0*c**2 - c**2 - 3*c - c**2 + 3*c + (c + 4 - 4)*(1 - 2*c - 1) - 1 - c**2 + 1 - 179*c**2 + 517*c**2 + 321*c**2 + 106*c**2.
763*c**2
Expand (-68 - 194 + 59)*(-3*w**3 + 3*w**2 - 3*w**2).
609*w**3
Expand (0*j**2 + 0*j**2 + j**2)*(-3*j + 4 - 4) - 17*j + 17*j + 67*j**3.
64*j**3
Expand -6*f**4 + 2*f**4 + 0*f**4 + (0*f**2 + 0*f**2 + f**4)*(4 + 0 - 6) - 4*f**2 - 2*f**4 + 4*f**2 + (-5 + 3 - f**3 + 0*f**3)*(2*f + 2 - 2).
-10*f**4 - 4*f
Expand -3 + y + 3 + (1 + 0 - 3)*(-14*y + 28*y - 15*y).
3*y
Expand (9*k - 10*k - 12*k)*((-2 + 2 - 3)*(1 - 6 + 2) + 4 - 1 - 2 - 2 + 2 + 1).
-143*k
Expand (1 + 2*t - 1)*(-t - 30 + 15 - 30).
-2*t**2 - 90*t
Expand (6*m**2 + m**2 - 4*m**2)*((-3 + 4 + 1)*(-3 + 3 - 2) + 2 - 1 + 2)*(-3*m - 4 + 4).
9*m**3
Expand (-y**2 - 3*y**2 + 2*y**2)*(-1 + 1 - y**2) - 64*y**4 + 73*y**2 - 141*y**2 + 71*y**2.
-62*y**4 + 3*y**2
Expand 2*s - 9*s + 5*s + (-3*s + s + 4*s)*(1 - 4 + 1) + (-2 + 2 - 2)*(s - s - s).
-4*s
Expand 4*n**3 - 6*n**3 + 6*n**3 + (-n - 4*n + 2*n)*(-1 - 1 + 1)*(2*n**2 - n + n) + (2*n**3 + 3*n**3 - 6*n**3)*(1 + 3 - 2).
8*n**3
Expand (z**4 + z - 3*z + 3*z + z**3)*(102 - 50 - 550).
-498*z**4 - 498*z**3 - 498*z
Expand (-169 + 424 - 178)*(2*o + 6*o - 7*o).
77*o
Expand (2*y - 7 + 7)*(-8 + 3 + 118).
226*y
Expand (-794*m + 398*m + 3 + 395*m)*(-2*m**3 + 0*m**3 + 0*m**3).
2*m**4 - 6*m**3
Expand (-49 + k + 0*k + 26)*(7*k + 5*k - 4*k).
8*k**2 - 184*k
Expand (-5 + 3 + 5)*(3 + 1 - 1 + 0 + 1 + 1 + (2 + 4 - 5)*(0 + 1 + 1) + 3 - 2 + 5)*(0*o + 2*o - o).
39*o
Expand (-2*l + l - l)*(l - l + l) - 2*l**2 + 0 + 0 - 5 - l - 36629*l**2 + 4 + 36806*l**2.
173*l**2 - l - 1
Expand -26*z**4 + 49*z**4 + 0*z**5 + z**5 + (4 + 2*z**3 - 4)*(-4*z**2 + 6*z**2 - 4*z**2).
-3*z**5 + 23*z**4
Expand (y + y - 4*y)*(-50 + 57 + 42 + 120).
-338*y
Expand (0 + 0 - 2*s)*(0 - 1 + 2 + 0 - 6 + 4 + (1 - 4 + 2)*(0 + 3 - 1) + 4 - 3 + 0 - 2 + 1 + 3 - 1 - 1 + 0 + 0 + 5 - 2 + (0 - 11 + 3)*(-5 - 3 + 4))*(2 + 0 - 1).
-66*s
Expand 1 + o - 1 + (4 - 4 - 3*o)*(0 - 4 + 3) + (3*o - 4*o + 3*o)*(0 - 4 + 6).
8*o
Expand -1 + 1 + 2*f**3 + f**3 + 3*f**3 - 5*f**3 + (3 - 4 - 1)*(-3*f**3 - 2*f**3 + 3*f**3) + 2*f - 3*f**3 - 10*f + 6*f.
2*f**3 - 2*f
Expand (3*c**4 + c - c)*(0 + 2 + 2)*(-10*c + 19 - 19).
-120*c**5
Expand (-2 - 2*p + 2 - 3*p + 3*p + p + (4*p - p - p)*(1 - 1 + 2) + 0 - 2*p + 0)*(418*p**4 - 39556 + 39556).
418*p**5
Expand (-3 - 1 + 6)*(-3*t + 2*t + 3*t)*(-4731 + 4727 - t**3 + 3*t**2 - 18*t**2).
-4*t**4 - 60*t**3 - 16*t
Expand (4*p - 2*p - p)*(-26*p**3 - 13*p**3 + 25*p**3)*(p + 2*p - 5*p).
28*p**5
Expand (-89 + 80 - 48)*(-5 - 2*h**3 + 5)*(-9 + 4 - 25).
-3420*h**3
Expand (7*b + 0*b - 2*b)*(77*b**2 - 26*b**2 - 32*b**2).
95*b**3
Expand (4*v**2 - 4*v**2 - v**2)*(2*v**2 - 4*v**2 + 3*v**2) + ((3 - 4 + 5)*(-3*v + 7*v - 2*v) + 5*v - 8*v + v + v + 3*v - 3*v)*(-4*v**3 + 7*v**3 - v**3).
13*v**4
Expand (0 - 2*o**2 + 0)*(o**3 - 34*o + 24*o + 19*o - 2*o**2).
-2*o**5 + 4*o**4 - 18*o**3
Expand (0*x**2 + x**5 + 0*x**2)*(0 + 3 - 2) + 287*x**5 + 10*x**5 + 121*x**5.
419*x**5
Expand (n + 2*n - n)*(-2 + 1 - 1)*(26*n + 16*n - 63*n).
84*n**2
Expand (0 - 1 - 3)*(-j**3 + 0*j + 0*j) - 2283*j**2 + 12*j**3 + 2283*j**2.
16*j**3
Expand (s + 3*s - 3*s)*(603*s - 785*s - 213*s - 1253*s).
-1648*s**2
Expand (-l + 2*l + l)*(2*l - 5 + 5) + 3*l**2 + l - l - 36*l**2 + 62 - 62.
-29*l**2
Expand (2*k - 3*k - k)*((2 + 3 - 4)*(-2*k + k + 0*k) + 3*k + 4 - 4 + k + 0*k - 2*k + 63 + k - 63).
-4*k**2
Expand (5*j - 5*j - 3*j)*(-159*j + 66*j - 184*j + 2*j + j - j + (-1 + 1 + 2)*(j + 0*j + 0*j))*(-3 + 3 - 2*j).
-1638*j**3
Expand (2 - 2 - w)*(7 + 5 - 2)*(-5*w - 10*w + 3*w).
120*w**2
Expand (2 - 2 + 2)*(-2 + 0 - 2)*(20 - 11 + 2*j - 8).
-16*j - 8
Expand (83 + 25 + 77 - 57)*(2*c**3 - 3*c**3 + 5*c**3).
512*c**3
Expand (-4*r - 2*r + 3*r - 2*r - 1 + 1 + (2 - 2 - r)*(2 + 3 - 4) + 0 + 2*r + 0 - 6*r + 3*r + r - 5*r - 20 + 20)*(-3*r + 5*r - r).
-11*r**2
Expand (-42*k**2 + 49*k**2 - 25*k**2)*(-18 + 1 + 14 + 2*k**2 + 3*k).
-36*k* | {
"pile_set_name": "DM Mathematics"
} |
(-1037/330)
Simplify (((h**(-10)/h*h*h)/h)/h**(-1/4)*(h*((((h**(-5/6)*h)/h*h)/h*h*h)/h)/h)/(h*h/(h*h*h**2)))**(1/8) assuming h is positive.
h**(-91/96)
Simplify (x**2*x**(-4)*(x/(x/(x/(x**(-1/2)*x)))*x)**(-27))**(1/57) assuming x is positive.
x**(-85/114)
Simplify (s**7*s*s*s*s*s)**(-1/8)/((s/(s**(2/13)*s))/s*s*s**(-12/7)*s) assuming s is positive.
s**(-115/182)
Simplify (j**(2/3)/(j/j**(7/4)))/(j/(j**7/j*j)*j*j)**(5/2) assuming j is positive.
j**(137/12)
Simplify (n**(1/9)*n)**(7/5)*(n**9*n*n)/(n*n**8) assuming n is positive.
n**(32/9)
Simplify (y**(1/3))**(2/5)/(y**(-3/2)*(y*y/(y*y**(-21)))/y) assuming y is positive.
y**(-581/30)
Simplify (c/(c**(-3)/c)*c)**(-6)/((c*c*(c*c/(c/(c*c/((c*((c**3/c)/c)/c)/c*c*c)*c*c)))/c)/c**(4/11)) assuming c is positive.
c**(-436/11)
Simplify ((f**(-1/3))**26*(f**(-7)*f)/f*(f/(f/(f/f**(3/4))))/f)**(-2/29) assuming f is positive.
f**(197/174)
Simplify (t**(-5/2))**14*(t/(t/t**(-2/5)))**(3/14) assuming t is positive.
t**(-1228/35)
Simplify (n*n**(1/5))**(-3/10)*n**20*n*n/n**(-8) assuming n is positive.
n**(741/25)
Simplify ((h**6/h)/h)/((h*h**6)/h*h)*h**(2/5)*h*h/h**7 assuming h is positive.
h**(-38/5)
Simplify (z**(-6/11)*z/(z/z**24))/(z**24/(z/z**10)) assuming z is positive.
z**(-105/11)
Simplify m**(-11/2)/m**(-32)*(((m/(m**(-3/4)*m*m))/m*m)/m)**(-17) assuming m is positive.
m**(191/4)
Simplify (((v**2/v)/v)/(v**5/v)*v*v/v**7*(v*v*v**(3/7))/v*v)**(18/5) assuming v is positive.
v**(-828/35)
Simplify (a**(-13)*a*a**(-8)*(a**3*a)**13)**17 assuming a is positive.
a**544
Simplify ((y*y/y**(2/17)*y**(4/9)/y)/((y/((y*y**(-9))/y))/(y*y*y*y**(-11))))**45 assuming y is positive.
y**(-12755/17)
Simplify (m**(-3/16)*m)/(m*m**(-4/15))*(m/m**21*m)/m**28 assuming m is positive.
m**(-11261/240)
Simplify (u*u**(-2/5)*u*u**(2/11))/(u/(u**3*u)*u**5) assuming u is positive.
u**(-12/55)
Simplify ((f**(2/11)*f/(((((f*f**3*f)/f)/f*f)/f*f)/f))**(-2/17))**(-25) assuming f is positive.
f**(-1000/187)
Simplify (((d**(-2/11))**9)**(25/3))**(-1/7) assuming d is positive.
d**(150/77)
Simplify (g**3*g)**(-8/7)/(((g*g**(3/14))/g*g)/g*(g/g**(-8))/g*g*g) assuming g is positive.
g**(-207/14)
Simplify (f**(-4))**(-1/7)*(f*f**(-3)/f)**26 assuming f is positive.
f**(-542/7)
Simplify ((m*m*m**(3/4))/(m/(m**(-20)*m)))/(m*m/(m*m**(-2/53)))**(2/57) assuming m is positive.
m**(-208889/12084)
Simplify ((y**10/y)/(y/y**(-5/7)))/(y/(y/(y/y**(-13)))*y*y*y**11*y) assuming y is positive.
y**(-145/7)
Simplify u/(((u*u**13/u)/u)/u)*u*u*((u*((u/u**(-3))/u)/u)/u)/u*(u*u/u**(2/11))**(-45) assuming u is positive.
u**(-977/11)
Simplify (s**(1/5))**30*s**(-21)/s**(3/2) assuming s is positive.
s**(-33/2)
Simplify v**17/(v**(-1/2)*v)*v**25*v**8 assuming v is positive.
v**(99/2)
Simplify d/(((d**1*d*d)/d*d)/d)*d**(2/13)*(d/d**17)/d*d/(d/((d/(d/d**10)*d)/d)) assuming d is positive.
d**(-102/13)
Simplify ((o/o**(-1)*o)**(-13)*(o**(-1/3))**(-2/77))**(-22) assuming o is positive.
o**(18014/21)
Simplify (d**(-1/6)*d/(d*d**(-23)*d*d*d))/((d**(-8)*d)/d**(-10)) assuming d is positive.
d**(101/6)
Simplify (c**4/c**22)**32 assuming c is positive.
c**(-576)
Simplify (y/(y/((y*(y*y**(-1/2))/y*y)/y))*y)**(-1/15)*y**(-10)*y/(y/(y**(-1/21)*y)) assuming y is positive.
y**(-1921/210)
Simplify j/(j/(j*j*j**(2/13)*j))*j/(j**(-1/15)/j)*((j/j**(-8))/j)**2 assuming j is positive.
j**(4138/195)
Simplify (n**11/n**(-4/13))/(n**0/(n/n**4)) assuming n is positive.
n**(108/13)
Simplify (((k*k/k**(2/9))/(k*k/((k**8*k)/k)*k))/((k**(-2/3)*k)/k*k*k*k)**(-32/3))**(-19/3) assuming k is positive.
k**(-1805/9)
Simplify (((i**(-1/3))**(3/13))**40)**18 assuming i is positive.
i**(-720/13)
Simplify (y**(-3)/(y/((y**(-5/4)*y*y)/y)))/((y**(-7)/y)/(y/((y/(y**(1/2)*y))/y))) assuming y is positive.
y**(25/4)
Simplify (l**(-2/11)/l**3)/((l**(-5/7)/l*l*l)/((l*l/(l**23/l))/l*l)) assuming l is positive.
l**(-1807/77)
Simplify (i**(-20)/i**(-1/13))/((i**(-3)/i*i)/i*i**(5/7)) assuming i is positive.
i**(-1514/91)
Simplify ((((n*n**17*n*n)/n*n)/n)**(-5))**(-14) assuming n is positive.
n**1330
Simplify (w*w**2)/(w/((w/(w**8/w))/w))*(w/(w/(w*w/(w/((w*((w/(w/((w**4/w)/w*w)*w)*w)/w*w)/w)/w*w))*w)))**(2/9) assuming w is positive.
w**(-35/9)
Simplify (k/(k*k/(k**4/k))*k*k**(-1/2))/(k**(1/6)/k*k**4/k) assuming k is positive.
k**(1/3)
Simplify ((s*s**7)/(s**(-13)*s))**(-5) assuming s is positive.
s**(-100)
Simplify (((x**(-6)/x)/x**(-3/5))/(x**(-2/7))**42)**(-26) assuming x is positive.
x**(-728/5)
Simplify (o*o**(-2/7)*o)/(o/(o**(-23)/o)*o)*(o*o**(-8)*o)**14 assuming o is positive.
o**(-758/7)
Simplify (c*c**(-1)/c)**(-5/4)*c/(c/(c/(c/c**(1/4))*c)*c)*c**(6/13) assuming c is positive.
c**(51/26)
Simplify (v*v*v**(-13))**(-2/5)/(v/(v/(v*v**(-29)))*v*v**(4/19)/v*v) assuming v is positive.
v**(2963/95)
Simplify l**(-7)*l*l**12*(l**1*l*l)**(-2/35) assuming l is positive.
l**(204/35)
Simplify ((c/c**(-11))/c**(1/7))/((c*(c*c/((c/c**(-7))/c))/c)/(c**10*c)) assuming c is positive.
c**(195/7)
Simplify (b**(-1))**(-3/2)/(b/(b*(b/b**(-1))/b)*b*b**(-9/5)) assuming b is positive.
b**(33/10)
Simplify ((u**(2/19)/u**(-4/5))**20)**11 assuming u is positive.
u**(3784/19)
Simplify (k/((k/(k**(-5/4)/k))/k))/((k*(k/k**(-3/5))/k)/k)*(k*k**(-14/5))/k**(-3/11) assuming k is positive.
k**(-743/220)
Simplify (t**0)**(4/3)*t**(1/8)*t**6 assuming t is positive.
t**(49/8)
Simplify ((h**(-1)*h**(1/5))**(13/3))**(6/19) assuming h is positive.
h**(-104/95)
Simplify (u**(-2/3))**28/(u/u**(-8/3))**(-28) assuming u is positive.
u**84
Simplify (o**24*(o/(o*o**(-17/5)))/o)**(-4/9) assuming o is positive.
o**(-176/15)
Simplify j**(1/4)*j*j*j*j**(-1/6)*j*(j*j/j**(-4/3))/(j*j**27*j) assuming j is positive.
j**(-259/12)
Simplify (o/(o/((o**(-1)/o)/o)))/o**(-11)*o**(-12)*o**(-2/9) assuming o is positive.
o**(-38/9)
Simplify (f/(f*f**(4/5)*f))/f*f/((f**6/f)/f)*f/(f/(f**(2/39)*f))*f/((f/f**(-12))/f) assuming f is positive.
f**(-3071/195)
Simplify m**9/m**(4/9)*(m**1*m*m)**(-2/155) assuming m is positive.
m**(11881/1395)
Simplify ((u**(1/3)*u*u*u**(-3/2))**29)**(1/22) assuming u is positive.
u**(145/132)
Simplify (j**(4/5)/((j/j**(1/28))/j))/(j**0*j/j**(2/5)) assuming j is positive.
j**(33/140)
Simplify r**15*r*((r*r*r**16)/r*r)/r*((r/(r*r**(3/14)))/r)/r**(2/33) assuming r is positive.
r**(14657/462)
Simplify (f**9/(f*f/(f**(1/16)*f)))/(f*f/(f**(-1/6)*f)*f*f**5) assuming f is positive.
f**(43/48)
Simplify (v**(-1)*v)**(-4/9)/(((v*(v*v**21)/v*v)/v*v)/(v*v*v**(-15/4))) assuming v is positive.
v**(-99/4)
Simplify (k**(-2/3)/k**(-1/7)*k**(4/7)*k**(-1/8)/k)**41 assuming k is positive.
k**(-7421/168)
Simplify (((y/(y/y**(-1/4)))/y)/y**(-13))/(((y/y**(-11/3))/y)/(y/((y/y**(1/5))/y*y))) assuming y is positive.
y**(497/60)
Simplify (k/(k/((k**(-21)/k)/k)*k))**(1/49)*(k**33/k)/(k*k**(-9)) assuming k is positive.
k**(1936/49)
Simplify (c**6*c*c**7)/(c/c**(-1)*c*c**(-3/14)/c) assuming c is positive.
c**(171/14)
Simplify (q*q**4*q**(-3/5)*q*q*q**(-6)*q/q**(3/7))**(-14/9) assuming q is positive.
q**(-68/45)
Simplify (a**25*a**(1/8))**(1/8) assuming a is positive.
a**(201/64)
Simplify (x**(-1/14)*(x/(x*x/x**7))/x)/(x**(-2/13)*x**(3/2)) assuming x is positive.
x**(326/91)
Simplify ((s**(2/13)/s**(7/4))/(s**(-1/4))**(9/8))**(-44) assuming s is positive.
s**(6017/104)
Simplify (w/(w*w**28)*w**(-15/8))**(-8/3) assuming w is positive.
w**(239/3)
Simplify (a**(-2/3))**29/(a**(-7/5))**(-33) assuming a is positive.
a**(-983/15)
Simplify ((g*g/(g*g**16/g)*g)/g)/(g**(9/2)/g)*(g/g**(-20/7))**8 assuming g is positive.
g**(187/14)
Simplify x**(2/25)/x**5*(x*(x**(-5)/x)/x*x)/x**(-3) assuming x is positive.
x**(-173/25)
Simplify d**23*d**(-12)/d*(d**(2/37)/d)/d*d**(2/35) assuming d is positive.
d**(10504/1295)
Simplify ((p/((p*p*p**6)/p))/p)**11/(p*p/((p/p**0*p)/p)*(p**(-1/2)*p)/p) assuming p is positive.
p**(-155/2)
Simplify (f*f/f**(-13)*f*(f*f/(f/f**(1/26)))/f)/(f**(-4/5)*f*f**(-2/73)) assuming f is positive.
f**(150567/9490)
Simplify (y*y**(8/7))**(-2/5)*(y/y**21*y)/((y**(-11/2)*y*y)/y) assuming y is positive.
y**(-215/14)
Simplify f*f*f**(-1/4)*f**(2/31)*(f**12)**(-4/9) assuming f is positive.
f**(-1309/372)
Simplify (v**(9/2)/(v/(v/v**(-4/13)*v)))/(v**7)**(-14) assuming v is positive.
v**(2699/26)
Simplify (a**(1/13)*(a*a**14*a)/a)/(a*a*a**(-2)*a*a*a/(a**(-1/20)/a)) assuming a is positi | {
"pile_set_name": "DM Mathematics"
} |
t is the closest to -1/3 in -20/3, 2/7, 680?
2/7
Which is the nearest to -2? (a) -0.126 (b) 1 (c) -40 (d) -4
a
Which is the nearest to 5? (a) 2 (b) 3/13 (c) 0.987 (d) 0.4
a
What is the closest to -1.113 in 1/2, -0.2, -2/9, 3?
-2/9
What is the closest to -964 in -5, 1/4, 0.054?
-5
What is the nearest to 0.1 in -5, 906, 6, -8, 0.2, 3?
0.2
What is the nearest to 6 in -2/33, 2, -0.4, -265, -49/4?
2
What is the nearest to -0.4 in -0.4, -3, 8, 777, -0.1?
-0.4
Which is the closest to 1? (a) 2/8195 (b) -3/5 (c) -5 (d) -1
a
Which is the closest to 48.6991? (a) -2/7 (b) -1 (c) -2/3 (d) -0.3 (e) 1
e
Which is the closest to -0.01? (a) 39 (b) 498 (c) 2
c
Which is the closest to 1/6? (a) -1/3 (b) 12 (c) -3 (d) -1/4 (e) -302
d
What is the closest to -5/7 in -2/3, -8, -189, -17, 0?
-2/3
What is the closest to 18 in 0.03, 4/5, 2.5, 1/8, 2, 1/11?
2.5
Which is the nearest to 821? (a) 351 (b) 8 (c) -2
a
Which is the closest to -2/417? (a) 24 (b) 1 (c) 2 (d) 5.2
b
Which is the closest to 2/17? (a) 1 (b) 915726/11 (c) 4
a
Which is the nearest to -4/3? (a) -966 (b) 6.5 (c) -0.2
c
What is the closest to 303 in 0, -0.2, 60, 0.1, -1?
60
What is the nearest to 0.1 in 1/2, -3/5, -13, -2/3, 0.76?
1/2
What is the nearest to 6 in -389, 0.1, 13, 10/13?
10/13
Which is the closest to -14410? (a) 2/39 (b) -1/13 (c) 1/2
b
Which is the closest to 2? (a) -67 (b) 0.8 (c) -240
b
Which is the nearest to 2? (a) -9/2 (b) 20 (c) 0.11 (d) -6 (e) 2/13 (f) 4/5
f
Which is the nearest to 0? (a) -1/4 (b) 2/3 (c) -0.11 (d) 483 (e) 39
c
Which is the nearest to 0.2? (a) 37 (b) 2 (c) -112 (d) 5 (e) 39
b
Which is the nearest to 2? (a) 294469 (b) -319 (c) 1/4
c
Which is the closest to -248? (a) 1 (b) 2 (c) 3.288
a
What is the closest to 4209 in -0.4, 1/4, 1/2, 0, 5, 146?
146
Which is the nearest to 29? (a) 624 (b) 1/4 (c) 24
c
What is the closest to -0.4 in -1, 1/4, -258, 2, -0.46?
-0.46
What is the closest to 0.1 in 1, 238, -0.4, -1496?
-0.4
What is the nearest to 11 in -1333.2, 0.4, 134?
0.4
What is the nearest to -137.145 in 0.2, -0.5, -0.08?
-0.5
What is the nearest to 3 in 1, 1/7, -1.45654, -2/3?
1
Which is the closest to 1/2? (a) -6 (b) -3 (c) -1652 (d) -55 (e) -1
e
What is the nearest to 0 in -1, 3, -218, 66?
-1
Which is the closest to -2? (a) 0.4 (b) -33 (c) 0.1 (d) 3 (e) -5 (f) -655
c
Which is the nearest to 0.0540423? (a) 2/5 (b) -2/3 (c) -1/3
a
What is the closest to 1/4 in 1/29, 1/5, 2/13, 265, -1376, -5/2?
1/5
What is the nearest to 157 in -5, 0.02, -1, -2/13, -3, -1/223?
0.02
Which is the closest to -1? (a) -0.69 (b) -0.0354484 (c) 2 (d) 0.5
a
What is the nearest to -551 in -5, -15, -0.3, -2/15, 11?
-15
What is the nearest to 0 in 17, 1/23898, 0, -2?
0
Which is the nearest to 1? (a) -28 (b) -7/11184 (c) -1
b
Which is the nearest to -2/5? (a) 1 (b) 18 (c) 0.5 (d) 31 (e) 493
c
What is the closest to -855 in -0.5, 5, 38?
-0.5
What is the closest to -2/7 in -2, 222, -1/2, -2/15, -11.6?
-2/15
Which is the closest to 0.06? (a) -743 (b) 307 (c) 0.1 (d) -2
c
Which is the closest to -0.05? (a) -1 (b) -10580 (c) -6 (d) 2/7 (e) 4 (f) 3
d
What is the closest to 0.1 in 1, -0.05175, -4, 0.126, 1/5?
0.126
Which is the nearest to 5786478? (a) 4 (b) 5 (c) -2/5
b
Which is the nearest to -1/90? (a) 1/3584 (b) 2/11 (c) -2
a
What is the nearest to -1 in -8, -0.3, -1/2, -3/5, 507?
-3/5
What is the closest to -9 in -3, -0.5, 4/119, 0.5?
-3
What is the closest to 230 in -2, 12/53, 0.07?
12/53
What is the closest to 3 in 1/2, 104/5, -1/350, 0.1?
1/2
What is the closest to -3 in -5, -0.06, 78, 531?
-5
Which is the closest to -2/3? (a) 5517 (b) -0.0863 (c) 2/9 (d) 0.2
b
Which is the nearest to 4? (a) -3672 (b) 0.1 (c) -38
b
Which is the nearest to -82/23? (a) -3/7 (b) -1/7 (c) -5/9 (d) -1/29
c
What is the closest to 0.1 in -0.5, -743/5, 1/4, 11, 3?
1/4
Which is the nearest to -25? (a) -0.43 (b) 4/9 (c) 1/23 (d) 4
a
What is the closest to -161803 in -0.2, 0.5, 1, -1/8, -0.8?
-0.8
What is the closest to -93 in 1, -584, 2/59?
2/59
Which is the closest to 1/11? (a) 1 (b) 2 (c) -5 (d) 4 (e) 0.0246
e
Which is the closest to -1? (a) 22.936 (b) 4/9 (c) -0.4 (d) 5 (e) -1/13
c
What is the nearest to -2/63 in 2, 109, 1, 3?
1
What is the closest to 6164 in -3, 0.4, 38, -0.7, -1, 0.2?
38
What is the closest to -0.1 in -2437, -0.1, 1/1440?
-0.1
Which is the nearest to 1/2? (a) -5351 (b) 745 (c) -12
c
What is the nearest to -0.003041 in 10, 3/10, -1/6?
-1/6
What is the nearest to -6 in -1/2, 2.4, -2, -2/5, -100?
-2
What is the closest to 12 in 0.4, -4630, 1, 3, -0.1?
3
What is the nearest to -1 in -82/907, -3, -29?
-82/907
What is the nearest to -300002 in -0.5, -2, 10, 2/3, -2/7?
-2
What is the nearest to -72/541 in -1/11, -2, 0, 1/8?
-1/11
Which is the closest to 21? (a) -528 (b) -9/5 (c) 5 (d) -26
c
Which is the nearest to 0? (a) 2/13 (b) -4 (c) -1/2 (d) -67.5 (e) 79
a
Which is the nearest to -2/9? (a) -3.82 (b) 0 (c) 44
b
What is the closest to -1 in -71/3, 2/7, -0.4, 7, 3/7, -0.5?
-0.5
Which is the nearest to 0.1? (a) -1/6 (b) -2/17 (c) -12081 (d) 16/13 (e) 0.1 (f) 3/8
e
What is the nearest to -3 in 923, -3/2, 10/3, 0.2?
-3/2
Which is the closest to -2? (a) 522 (b) -2/3 (c) -11 (d) 18 (e) 4/3
b
Which is the nearest to 0.35? (a) -4 (b) -0.02236 (c) -2 (d) 1/5 (e) 3 (f) 3/5
d
What is the closest to 1/7 in 15, 1/6, 4, 27/5?
1/6
What is the closest to 4 in -0.2, 61, -0.5, 89970?
-0.2
Which is the nearest to -32/13? (a) -2/15 (b) 0.33 (c) -8.2
a
What is the closest to -1/29778 in 0.5, 0.3, 0.071?
0.071
Which is the nearest to 2? (a) -2909 (b) -3/13 (c) 5/4
c
Which is the closest to 0.4? (a) -18/11 (b) 64 (c) 38/9 (d) -4 (e) -5 (f) -1
f
Which is the closest to 64/13? (a) 11 (b) -5 (c) 0.4 (d) 4
d
What is the closest to -0.4 in 2/5, 5, -5/6, -28, -1/4, 7?
-1/4
Which is the closest to 2? (a) -1/3 (b) -15491 (c) -11 (d) -0.025
d
Which is the closest to -18? (a) -1414 (b) -37 (c) -2/7
c
Which is the closest to 1/8? (a) -7 (b) 453 (c) 4 (d) -2/3
d
What is the closest to 1 in 1/5, 0.03, 1210.4, -3?
1/5
What is the nearest to -0.06 in 2/7, 61.4, -2702?
2/7
Which is the closest to -0.1? (a) 20.948 (b) -3 (c) -5/2 (d) 0.3 (e) 3 (f) -2
d
What is the closest to -2/12803 in 5, -25, 79?
5
What is the nearest to -2/3 in 6524, 0.2, -30, -3.7?
0.2
What is the closest to 2/107 in 40, 3802, -0.7, -2?
-0.7
Which is the nearest to -2/17? (a) -7.815 (b) 2/7 (c) 1 (d) -1/457
d
Which is the closest to -2? (a) -5 (b) -2/5 (c) -1.1 (d) -4545
c
Which is the closest to -2? (a) 117/5 (b) -3/3500 (c) 1/4
b
Which is the nearest to 1/2? (a) 2/63 (b) -2 (c) 1/2 (d) 0.2 (e) -0.17
c
Which is the nearest to -1/5? (a) 2831 (b) -3/11 (c) -5
b
Which is the closest to -0.08? (a) -1/2 (b) -3 (c) 2044/67
a
What is the nearest to -1 in 7, -2, -251/3, -11.9?
-2
What is the closest to -0.1 in 2/23, 20.7, 3/76, -0.2?
-0.2
What is the nearest to -1 in -2, -21, -33274, -9, 1?
-2
What is the closest to 0.2 in -12, -3, 0.039, 2, 434?
0.039
What is the nearest to 0 in 50649, 5/8, -0.1?
-0.1
What is the closest to -19.8 in -2/7, 1044/11, 4, -5?
-5
What is the closest to -1/8 in -717, 3, -3, -37?
-3
Which is the nearest to 281? (a) 2/5 (b) 0.3 (c) 3 (d) -0.2 (e) -0.01
c
Which is the nearest to -3? (a) 1/7 (b) 165 (c) 1788 (d) 5 (e) -2 (f) 2/3
e
Which is the nearest to -7? (a) -0.29 (b) -4 (c) 9 (d) 2/5
b
What is the closest to -19.1 in 2/17, -0.008, 11, -0.2, 3?
-0.2
What is the nearest to -0.026 in -0.11, 8, 2/3, -1, 2/7, -5?
-0.11
What is the closest to 5 in -7, -0.3, 27/4, -17, 21?
27/4
What is the closest to -1 in 11.5, 3, -2/7, -3/5, -0.7?
-0.7
What is the closest to 386 in 1/502, 0.5, 0.2, 5/2, 9?
9
Which is the nearest to -14/745? (a) 4 (b) 1/5 (c) -3/14942
c
Which is the nearest to -194? (a) -2 (b) -0.5 (c) 3/5 (d) -0.111 (e) -0.2
a
Which is the closest to 221? (a) -69 (b) -1 (c) -0.4 (d) -132
c
Which is the nearest to 0? (a) -509 (b) 104 (c) 1/7 (d) -1 (e) 5
c
What is the nearest to 137 in 0.4, 1/34, -60, 2/7?
0.4
Which is the closest to 0.01? (a) -589 (b) -0.0087 (c) 0.5
b
What is the closest to 1099/3 in 4, - | {
"pile_set_name": "DM Mathematics"
} |
- 11. What is x*n(m) + 6*d(m)?
2*m**3 + m**2
Let j be ((-56)/21 - 6/(-4))*-6. Let q(z) = -13*z**2 + z - 6. Let k(x) = 4*x**2 + 2. Give j*k(y) + 2*q(y).
2*y**2 + 2*y + 2
Let n(x) = x**2 + 1. Let c(b) = b**2 + 2. Suppose 0 = -6*h + 5 + 7. What is h*n(m) - c(m)?
m**2
Let v(m) = -3*m. Let l(w) = 1. Give 3*l(t) + 3*v(t).
-9*t + 3
Let b(h) = -h - 1. Let o(s) = -5*s + 3. Give 6*b(m) - o(m).
-m - 9
Let m(h) = -4*h + 3. Let c(d) = -d**3 + 13*d - 10. Determine 2*c(z) + 7*m(z).
-2*z**3 - 2*z + 1
Let r(i) = i + 1. Let m(l) = -2*l**3 + l**2 - l + 1. Let f be m(1). Let d(c) = -c**2 + c. Give f*r(b) - d(b).
b**2 - 2*b - 1
Let t(i) = -3 - 7*i**3 - 23*i + 23*i. Let y(g) = -g**3 - 1. Determine -t(z) + 5*y(z).
2*z**3 - 2
Let m be (-4)/(55/(-15) - -3). Let q(g) = -9*g**3 + 7*g**2 - 13*g + 11. Let d(b) = 5*b**3 - 4*b**2 + 7*b - 6. Calculate m*q(v) + 11*d(v).
v**3 - 2*v**2 - v
Let a = -19 - -21. Let s(g) = -10*g**a + 18*g**2 - 2 + 5*g - 4. Let d(i) = -i**2 - 5 + 18 - 16*i**2 - 11*i. Give -6*d(v) - 13*s(v).
-2*v**2 + v
Let j(h) = -2*h + 6. Let g(n) = n**2 + 14*n + 50. Let t be g(-9). Let s(d) = 3*d - 9. Determine t*s(a) + 8*j(a).
-a + 3
Let h(i) = 2*i - 1. Let k(z) = z - 2. Let l(j) = -j**2 + 1. Let a(d) = -k(d) - l(d). Let f(s) be the first derivative of a(s). Calculate -2*f(t) + 3*h(t).
2*t - 1
Let w(q) = 2*q**3 + 8*q**2 + 3*q + 5. Let h(v) = v**2 + 1. Let m(p) = -5*h(p) + w(p). Let y(a) = 5*a**3 + 8*a**2 + 8*a. Determine -8*m(j) + 3*y(j).
-j**3
Suppose k + 1 = 5. Let d = k + -3. Let u(a) = d + a + 0 - 2. Let i(n) = 6*n - 7. Give -2*i(z) + 14*u(z).
2*z
Let r(t) = 2*t**2 - 2*t - 1. Let v(h) = -2*h**2 + 2*h + 1. Suppose -c = -3*u - 16, -2*c = 3*c + u - 16. Suppose -8*b + 2 = -22. Determine b*v(j) + c*r(j).
2*j**2 - 2*j - 1
Suppose 1 = -5*t + 4*h - 44, -4*t = 5*h - 5. Let d(r) = -2*r + 4. Let k be d(t). Let b(z) = 8*z. Let w(n) = -3*n. Calculate k*w(p) + 5*b(p).
-2*p
Let g(o) = -2*o**2 - 2*o. Let b(c) = -4*c**2 - 4*c. Let h(u) = u**2 - 9*u + 2. Let z be h(9). Determine z*b(n) - 5*g(n).
2*n**2 + 2*n
Suppose -4*d = 8, -2*j = j + 2*d - 17. Let p(s) = 6*s. Let n(b) be the third derivative of 5*b**4/24 - 13*b**2 + 6*b. Calculate j*n(u) - 6*p(u).
-u
Let i(s) = 2*s + 1. Let q(k) = 1. Determine -i(n) + 5*q(n).
-2*n + 4
Let c(p) = -22*p + 2. Let u(d) = -44*d + 3. Give 7*c(m) - 4*u(m).
22*m + 2
Let c(x) = -5*x + 5*x**2 - 3*x**3 + 0 + 0. Let w(s) = 2*s - 3*s**2 - s**3 + 3*s**2 - 4*s + 2*s**2. Give 2*c(n) - 5*w(n).
-n**3
Let l(z) = 15*z**2 + z + 1. Let p(v) = -v**2 - v - 1. Calculate l(k) + p(k).
14*k**2
Let w(x) = 4. Let i(c) = -c + 17. Let m(p) = -6*i(p) + 26*w(p). Let y(z) = -7*z - 6. Let s(j) = -5*j - 4. Let g(u) = 8*s(u) - 5*y(u). Give -4*g(v) - 3*m(v).
2*v + 2
Let t(i) = 40*i + 3. Let x(c) = -27*c - 2. Calculate 5*t(g) + 7*x(g).
11*g + 1
Let h(r) = -r**2 - 6*r + 8. Let u(g) = g**3 + 25*g**2 - 25*g + 32. Let t be u(-26). Let m(y) = -y**2 - 5*y + 7. Calculate t*h(c) - 7*m(c).
c**2 - c - 1
Let x(m) = 7*m**2 + m - 1. Let r(v) = -15*v**2 - 3*v + 3. Let c(f) = -3*r(f) - 5*x(f). Let u(j) = -3*j**2 - j + 1. What is 2*c(p) + 7*u(p)?
-p**2 + p - 1
Let u(m) = 3*m. Suppose 2*r + 0*r = 6. Let o(t) = 3*t - r*t - t. Give 5*o(h) + u(h).
-2*h
Suppose 2*y - 30 = 4*d - 6, -4*y + 30 = -2*d. Let x(q) = 3*q**2 - 6. Let n(o) = 6*o**2 - 13. Calculate y*n(p) - 13*x(p).
-3*p**2
Let f be 1 + (-1*20/4)/1. Let b(k) = 6*k + 6. Let z(g) = -2*g - 2. Calculate f*b(x) - 11*z(x).
-2*x - 2
Let g(l) = 7*l**3 + 6*l**2 - 6*l - 7. Let a = 55 + -61. Let q(t) = -15*t**3 - 13*t**2 + 13*t + 15. Calculate a*q(d) - 13*g(d).
-d**3 + 1
Let k(q) = 28*q. Let f(z) = -28*z. What is -6*f(u) - 7*k(u)?
-28*u
Let d(o) = 5*o**3 - 6*o**2 - 6*o + 6. Let j(l) = 14*l**3 - 17*l**2 - 17*l + 17. Let b be 1/(((-20)/(-85))/(-4)). Determine b*d(p) + 6*j(p).
-p**3
Let l(n) = n + 4. Let v be l(-9). Let q = 11 + v. Suppose -3*r - q = -2*r. Let j(a) = 8*a**2 - 2*a - 7. Let h(b) = -17*b**2 + 4*b + 15. Give r*h(d) - 13*j(d).
-2*d**2 + 2*d + 1
Let k(q) = -6*q**3. Let y(g) = g**3. Determine k(i) + 2*y(i).
-4*i**3
Let m(t) = 13*t**2 + 4*t - 4. Let a(f) = 25*f**2 + 7*f - 7. Give 4*a(r) - 7*m(r).
9*r**2
Let s = -4 - -5. Let y be (-1 - -2)/(-1*s). Let f(j) = j - 2. Let x be (-5)/(-2) + 2/(-4). Let v(m) = -1. Give x*v(d) + y*f(d).
-d
Let u(q) = 7*q + 9. Let l(t) = 5*t - 9 + 14 + t - 2*t. What is 5*l(n) - 3*u(n)?
-n - 2
Suppose 0 = q - 0*q - 5. Let y(s) = -9*s + 7. Let v(c) = 5*c - 4. Let w = -2 + 4. Suppose -13 - w = -5*r. Give q*v(o) + r*y(o).
-2*o + 1
Let s(q) = 20*q**3 - 11*q + 11. Let r(g) be the second derivative of g**5/5 - g**3/3 + g**2 + 23*g. Calculate -11*r(i) + 2*s(i).
-4*i**3
Let o(r) = -5*r. Let f(j) = 16*j. What is 5*f(x) + 14*o(x)?
10*x
Let s(w) = -79*w + 7. Let t(a) = 119*a - 11. Calculate 8*s(h) + 5*t(h).
-37*h + 1
Let f(o) = 1. Let c(t) = 3*t - 3. Let k be 1/(-2 - 9/(-5)). Let i(q) = 4*q - 2. Let l(a) = k*c(a) + 4*i(a). Determine -6*f(z) + l(z).
z + 1
Let h(l) = 6*l**3 - 11. Suppose z + 16 = 5. Let n(d) = -3*d**3 + 6. What is z*n(s) - 6*h(s)?
-3*s**3
Let o(i) be the second derivative of 7*i**5/20 + 11*i**4/12 - 11*i**3/6 + 11*i**2/2 + 16*i. Let k(c) = -2*c**3 - 3*c**2 + 3*c - 3. What is 22*k(t) + 6*o(t)?
-2*t**3
Let h(s) = -9*s**2 + 11*s - 29. Let f(o) = 5*o**2 - 6*o + 15. Calculate 7*f(m) + 4*h(m).
-m**2 + 2*m - 11
Suppose 0 = 5*l - 9 - 31. Suppose -l = -s - 3*z, -z + 12 = 2*z. Let v(c) = -2*c. Let a(y) be the first derivative of -y**2/2 - 113. Calculate s*v(f) + 10*a(f).
-2*f
Suppose -4*v = -72 - 36. Suppose 5*w - 3*c = -0*w, 0 = 4*w + 3*c + v. Let d(i) = -25*i. Let p(m) = -3*m. Determine w*d(q) + 24*p(q).
3*q
Suppose 5 = 5*c + 4*a, c - 15 + 0 = 2*a. Let r = -2 - c. Let u(q) = -4*q**3 - q**2 - q. Let y(k) = -13*k**3 - 4*k**2 - 3*k. What is r*u(v) + 2*y(v)?
2*v**3 - v**2 + v
Let k(g) = -g**3 + g**2 - g + 1. Let f(m) = -13*m**3 + 6*m**2 - m + 11. Let w(z) = -f(z) + 6*k(z). Let c(t) = -10*t**3 + 7*t + 7. What is -5*c(l) - 7*w(l)?
l**3
Let n(r) = 3*r**2 + 5*r + 1. Let t(d) = -4*d**2 - 6*d - 1. Let c(q) = q**3 - 3*q**2 - q - 2. Let w be c(3). Determine w*t(p) - 6*n(p).
2*p**2 - 1
Let v(u) = 3*u**3 - 5*u**2 + 6*u. Let i(x) = -4*x**3 + 6*x**2 - 7*x. Suppose -2*k = 5*s - 78, -k = 5*s - 85 + 6. Let l = s - 9. Give l*v(d) + 6*i(d).
-3*d**3 + d**2
Let j(o) = -7*o**2 - 7*o. Let x(y) = -y**3 + 6*y**2 + 6*y. Give 6*j(d) + 7*x(d).
-7*d**3
Suppose -5*p - 2 = 43. Let o be p/(-3)*4/(-6). Let k(d) = 10*d**3 + 21*d + 16. Let s(g) = -2*g**3 - 4*g - 3. Give o*k(z) - 11*s(z).
2*z**3 + 2*z + 1
Let j(p) = 5 - 4 - 3*p + 2. Let m(y) be the third derivative of 2*y**4/3 - 8*y**3/3 - 4*y**2. Give -22*j(o) - 4*m(o).
2*o - 2
Let c(a) = a**3 + 2*a**2 + 2*a. Let o(r) = -7*r**2 - 2*r**3 - 7*r + 0*r + 0*r. What is 7*c(d) + 2*o(d)?
3*d**3
Let y(f) = -4*f + 2. Let b(z) = -z**2 + z + 1. Give -2*b(o) + y(o).
2*o**2 - 6*o
Let w(v) = -2*v**3 - 5*v**2 + 3*v. Let z(g) be the second derivative of -3*g**5/10 - 7*g**4/6 + 4*g**3/3 - 3*g. Calculate 14*w(b) - 5*z(b).
2*b**3 + 2*b
Suppose -5*p + p = 5*l + 40, p = l - 1. Let h(o) = -2*o**2 - 3*o - 3. Let f(z) = 3*z**2 + 4*z + 4. What is l*h(n) - 3*f(n)?
-n**2
Let a(b) = 0*b**2 + 3 - b**2 + 2*b**2 - 2*b**3. Let w(d) = d**3 - d + 3. Let m be w(0). Let u(t) = -3*t**3 + t**2 + 5. Give m*u(k) - 5*a(k).
k**3 - 2*k**2
Suppose 3*t + 1 - 28 = 0. Let h = -3 - 1. Let j(k) = k + 4. Let g(s) = 3*s + 9. Give h*g(b) + t*j(b).
-3*b
Let r(t) = -7*t + 18. Let q(w) = -w + 1. Give -6*q(l) + r(l).
-l + 12
Let z(v) = 27*v**2 - 4. Let a(s) = s**2 + 1. What is -4*a(n) - z(n)?
-31*n**2
Let t(w) = 5*w**3 + 9*w**2 - w - 7. Let r(n) = -4*n**3 - 8*n**2 + n + 6. Let x be (-4)/18 + (-130)/(-18). Give x*r(o) + 6*t(o).
2*o**3 - 2*o**2 + o
Let u(p) = -5*p + 4. Let l(c) = c - 4. Let v(z) = -z + 5. Let q(h) = 5*l(h) + 4*v(h). What is 3*q(s) + u(s)?
-2*s + 4
Let h(u) = -10*u**3 - u**2 + u. Let d(y) = y**2 - y. Calculate d(s) + h(s).
-10*s**3
Let q(g) = -g**2 + g + 1. Let j(d) = d**2 - 3 - 6*d - 3*d + 7*d. What is -j(w) - 3*q(w)?
2*w**2 - w
Let i(q) = q + 3. Let h(s) = 2*s + 8. Let u = 75 - 80. Determine u*h(r) + 12*i(r).
2*r - 4
Let r(a) = 3*a - 6. Let o(h) = -5*h + 11. Calculate 4*o(v) + 7*r(v).
v + 2
Let b(p) = 1 - 7 + 0 + 7. Let k(d) = 2*d + 7. What is -4*b(c) + k(c)?
2*c + 3
Let r(q) = -q - 19. Let g(z) = -19. Determine 4*g(m) - 3*r(m).
3*m - 19
Let v(t) = - | {
"pile_set_name": "DM Mathematics"
} |
**2 - 138.
2*(i - 23)*(i - 3)*(i - 1)
Suppose -y - 2*c + 4 = 0, -y = -2*c - 2*c + 8. Suppose y = x - 61 + 59. Let -2/5*n**5 - 2/5*n**x + 0*n + 0 - 6/5*n**3 - 6/5*n**4 = 0. What is n?
-1, 0
Let r(u) be the second derivative of u**8/168 - u**6/20 + u**5/15 - 7*u**2 + 28*u. Let o(y) be the first derivative of r(y). Let o(l) = 0. What is l?
-2, 0, 1
Let b(n) = -109*n + 547. Let i be b(5). Let f(d) be the second derivative of 7*d - 1/12*d**4 - 2/3*d**3 + 0 - 3/2*d**i. Factor f(w).
-(w + 1)*(w + 3)
Suppose -5*h - 17 + 2 = 5*u, 8*h + 32 = -4*u. Determine j so that 16/11*j + 6/11*j**u + 8/11 - 2/11*j**4 - 4/11*j**3 = 0.
-2, -1, 2
Let r(u) be the third derivative of u**7/7560 - u**6/360 + u**5/40 + u**4/6 - 10*u**2. Let k(h) be the second derivative of r(h). Find o such that k(o) = 0.
3
Let v(j) = -j**5 + 11*j**4 + 8*j**3 - 4*j**2. Let a(u) = -165 + 165 - u**5. Let b(l) = 12*a(l) - 3*v(l). Factor b(p).
-3*p**2*(p + 2)**2*(3*p - 1)
Factor 2*i**2 + 2*i - 24 + 6*i + 6*i + 0*i**2 - 12*i.
2*(i - 3)*(i + 4)
Suppose w**2 - 7/6*w**3 + 0*w**4 + 0*w + 0 + 1/6*w**5 = 0. Calculate w.
-3, 0, 1, 2
Let m be -1 + -2 + (-1323)/(-343). Factor 24/7*c**2 + 2/7*c**4 - 12/7*c**3 - 20/7*c + m.
2*(c - 3)*(c - 1)**3/7
Factor -8/7 - 2/7*m**2 + 8/7*m.
-2*(m - 2)**2/7
Let g(c) be the third derivative of 169*c**7/1260 - 65*c**6/144 + 8*c**5/15 - c**4/4 - 498*c**2. Determine a so that g(a) = 0.
0, 6/13, 1
Factor -41/2*c - 1/8*c**2 - 1681/2.
-(c + 82)**2/8
What is d in 0 + 60/7*d**3 + 24/7*d**4 - 9/7*d**5 + 0*d - 48/7*d**2 = 0?
-2, 0, 2/3, 4
Let y(f) = 2*f**2 + 10. Let x(a) = 1. Let k(j) = 2. Let n(o) = -k(o) + x(o). Let d(s) = -10*n(s) - y(s). Factor d(p).
-2*p**2
Let g be (30/20)/((-3)/(-4)). Let h be (g/(-14))/((480/(-70))/12). Factor 2*x + h*x**2 + 4.
(x + 4)**2/4
Let w = -4 + 6. Solve -30 - 2*y**w + 28 + 4*y**2 = 0.
-1, 1
Let z = -550/9 - 6644/63. Let w = 167 + z. Solve -4/7*u**4 - w*u + 4/7*u**2 + 1/7*u**5 + 2/7*u**3 + 0 = 0 for u.
-1, 0, 1, 3
Let s be 44 - 39 - (-73)/(-13). Let t = 123/52 + s. Factor 0 - t*p**2 + 1/2*p.
-p*(7*p - 2)/4
Let f(y) be the second derivative of y**4/30 - 136*y**3/5 + 41616*y**2/5 - 292*y. Factor f(n).
2*(n - 204)**2/5
Factor 23*n**3 - 2*n**4 + 1755 + 2*n**4 + 1620*n - 7*n**3 + 450*n**2 - 5*n**4 + 4*n**3.
-5*(n - 13)*(n + 3)**3
Determine m, given that 64/19 + 18/19*m**3 - 72/19*m - 2/19*m**4 - 8/19*m**2 = 0.
-2, 1, 2, 8
Let j(b) be the third derivative of 4/3*b**3 - 1/15*b**5 + 0*b + 0 + 10*b**2 + 1/90*b**6 + 1/6*b**4. Let q(r) be the first derivative of j(r). Solve q(d) = 0.
1
Let c(q) be the third derivative of -q**4 - 1/15*q**5 + 8/3*q**3 + 0 + 11/60*q**6 + 0*q - 2/35*q**7 - 3*q**2 + 1/168*q**8. Factor c(l).
2*(l - 2)**3*(l - 1)*(l + 1)
Factor 227*t**3 + 362*t**2 - 92*t**2 + 24300*t - 226*t**3 + 729000.
(t + 90)**3
Suppose -s + 13 = -4*u, u = 4*s - 0*s - 22. Let i(z) = 7*z**4 - 2*z**3 + z**2 + 5. Let y(t) = t**4 + t**2 + 1. Let c(a) = u*i(a) + 10*y(a). Factor c(q).
-4*q**2*(q - 2)*(q + 1)
Let m(j) = 2155*j + 10775. Let z be m(-5). Factor -2/3*s**4 + 0 + z*s + 0*s**3 + 0*s**2.
-2*s**4/3
Suppose 4*c + 4*d + 112 = 0, -5*c - 186 + 6 = -5*d. Let b be c/(-63) - (-48)/(-168). Factor -2*h**4 + b*h + 10/9*h**2 + 0 + 2/3*h**3.
-2*h*(h - 1)*(3*h + 1)**2/9
Let z(k) be the second derivative of -k**6/60 - k**5/10 - k**4/6 - 9*k**2 - 11*k. Let u(h) be the first derivative of z(h). Factor u(c).
-2*c*(c + 1)*(c + 2)
Let n(a) be the first derivative of -2*a**6 + 88*a**5/5 - 58*a**4 + 272*a**3/3 - 70*a**2 + 24*a - 77. Determine w, given that n(w) = 0.
1/3, 1, 2, 3
Let v(c) be the second derivative of c**8/3360 + c**7/840 - c**6/720 - c**5/120 - 11*c**3/6 + 6*c. Let y(x) be the second derivative of v(x). Factor y(j).
j*(j - 1)*(j + 1)*(j + 2)/2
Let h = -37904 - -37907. Factor -2/13*y**h + 8/13*y**2 + 22/13*y + 12/13.
-2*(y - 6)*(y + 1)**2/13
Let f be (-111)/259*4/(-6). Let k(x) be the first derivative of 6/7*x**5 - f*x**2 + 3/7*x**6 + 1 - 2/3*x**3 + 0*x + 1/14*x**4. Find j, given that k(j) = 0.
-1, -1/3, 0, 2/3
Let a(t) be the second derivative of t**5/80 - t**4/6 + 13*t**3/24 - 3*t**2/4 + t + 15. Factor a(b).
(b - 6)*(b - 1)**2/4
Suppose -1/5*x**3 + 16/5 - 6/5*x - 9/5*x**2 = 0. What is x?
-8, -2, 1
Let z(h) be the first derivative of -h**5/15 + 2*h**4/3 - 8*h**3/3 - 10*h**2 - h + 16. Let c(l) be the second derivative of z(l). Solve c(s) = 0 for s.
2
Let n(w) be the second derivative of w**4/6 - 11*w**3/6 + 7*w**2/2 - 11*w. Let b be n(5). Factor 3/2*c**4 - 3/2*c**b + 0 + 3/4*c**5 + 0*c**3 - 3/4*c.
3*c*(c - 1)*(c + 1)**3/4
Let 5/4*c**5 + 5/2*c**2 + 20*c**3 - 85/4*c - 25/2*c**4 + 10 = 0. What is c?
-1, 1, 8
Factor 216*p**3 - 9 + 6 + p**4 + 3 - 17*p**2 - 217*p**3 - 15*p.
p*(p - 5)*(p + 1)*(p + 3)
Let v(x) be the second derivative of x**6/15 + 3*x**5/50 - x**4/15 + 111*x. Find q, given that v(q) = 0.
-1, 0, 2/5
Let o(l) be the second derivative of -1/60*l**4 + 0 - 1/15*l**3 + 4/5*l**2 - 43*l. Factor o(r).
-(r - 2)*(r + 4)/5
Suppose 2*j - 5*j - 19 = 5*p, -j + 4*p + 22 = 0. Factor 3 - 5*o**2 + 2*o**j + 2*o + 2*o**2.
-(o - 3)*(o + 1)
Let j(x) = x + 21. Let p be j(-18). Suppose 0 = p*r - 8*r + 15. Factor 1/4*t**r - 1/2*t**2 + 1/2 - 1/4*t.
(t - 2)*(t - 1)*(t + 1)/4
Let a(k) be the third derivative of -k**7/1470 + k**6/168 - k**5/420 - k**4/8 + 3*k**3/7 + 22*k**2. Factor a(d).
-(d - 3)**2*(d - 1)*(d + 2)/7
Let r(z) be the second derivative of z**6/660 - z**5/66 + z**4/33 + 5*z**2/2 + 5*z. Let j(x) be the first derivative of r(x). Let j(l) = 0. Calculate l.
0, 1, 4
Factor -162*u + 74*u**2 - 4*u**5 - 67*u**3 + 41*u**4 - 87*u**3 + 190*u**2 + 27 - 12*u**2.
-(u - 3)**3*(u - 1)*(4*u - 1)
Let p(a) be the third derivative of -a**6/30 + 2*a**5/3 - 13*a**4/6 - 16*a**3 - 12*a**2 + 19*a. Determine s, given that p(s) = 0.
-1, 3, 8
Let l = 56 - -79. What is w in -2*w**4 - 4*w**4 + 2*w**4 - 139*w**3 + l*w**3 = 0?
-1, 0
Let l(h) = -3*h**2 - 302*h - 22800. Let a(j) = -2*j**2 + 1. Let z(f) = 5*a(f) - 5*l(f). Factor z(d).
5*(d + 151)**2
Let x(v) be the second derivative of v**6/240 + 3*v**5/160 - v**4/32 - 11*v**3/48 - 3*v**2/8 - 15*v - 1. Factor x(b).
(b - 2)*(b + 1)**2*(b + 3)/8
What is k in 0*k + 6 - 3/2*k**2 = 0?
-2, 2
Let m(c) be the third derivative of -c**9/90720 + c**8/15120 + 17*c**5/60 - 26*c**2. Let o(g) be the third derivative of m(g). Factor o(k).
-2*k**2*(k - 2)/3
Let l(m) be the first derivative of -2*m**5/5 - 9*m**4/2 - 16*m**3 - 16*m**2 + 226. Solve l(n) = 0.
-4, -1, 0
Let v(r) = -r**2 - 76*r + 409. Let a be v(5). Let d(i) be the second derivative of 6*i - 7/10*i**5 - i**2 + 0 - 5/3*i**3 - 3/2*i**a - 2/15*i**6. Factor d(c).
-2*(c + 1)**3*(2*c + 1)
Let t(o) be the second derivative of o**4/72 - o**3/9 - 7*o**2/4 - o - 7. Factor t(q).
(q - 7)*(q + 3)/6
Let v(m) be the first derivative of m**6/2 + 84*m**5/5 + 735*m**4/4 + 698*m**3 + 1152*m**2 + 864*m + 170. Determine g so that v(g) = 0.
-12, -2, -1
Let u(c) be the third derivative of 1/72*c**6 + 1/45*c**5 + 0*c - 1/18*c**4 - 1/210*c**7 - 8*c**2 + 0*c**3 + 0. Factor u(m).
-m*(m - 2)*(m + 1)*(3*m - 2)/3
Let l(r) = 9*r + 3. Let v be l(1). Let f(m) = 4*m**2 + 6*m + 8. Let y(p) = -p**2 - p. Let o(i) = v*y(i) + 2*f(i). Factor o(d).
-4*(d - 2)*(d + 2)
Let n(z) = -z - 3. Let y be n(-6). Let h be ((-9)/6 + 3)*2. Let h*a**2 + y*a**2 - 3*a**2 - 2 - 1 = 0. Calculate a.
-1, 1
Let p = 29 + -27. Factor 30*m + 34*m + 0*m**2 - 44*m + 4*m**p.
4*m*(m + 5)
Let q(l) be the first derivative of -7*l**4/10 + 16*l**3/3 + 12*l**2/5 - 110. What is d in q(d) = 0?
-2/7, 0, 6
Let j = -19 + 16. Let q be (-1 - -1 - 1)*-7. Let r(i) = -3*i**3 + i**2 + 9. Let v(k) = -k**3 + 4. Let l(g) = j*r(g) + q*v(g). Let l(a) = 0. Calculate a.
-1/2, 1
Suppose l = 2*s - 6, -2*l - 13 = -5*s + 3. Suppose s*o + o + 5*j = -10, 22 = 4*o - 2*j. Solve -4*m**4 + 54*m**2 - 21*m**o + 15 - 60*m + 9 + 7*m**4 = 0 for m.
1, 2
Let k be (-2)/(-4)*-7*(-30)/3. Factor k*f**3 + 934*f - 17*f**2 - 5*f**4 - 358*f**2 - 309*f + 40*f**3.
-5*f*(f - 5)**3
Let r(k) = k**5 + k**3 - k**2 - k + 1. Let w(m) = -15*m**5 + 65*m**4 - 70*m**3 + 30*m**2 - 10*m + 5. Let a(t) = 5*r(t) - w(t). Factor a(f).
5*f*(f - 1)**3*(4*f - 1)
Let i = 14776 - 14772. Factor 0 - 2*p**3 + 4/9*p**2 + 14/9*p**i + 0*p.
2*p**2*(p - 1)*(7*p - 2)/9
Let w(r) be the first derivative of -r**7/126 + r**6/45 + 5*r + 1. Let h(u) be the first d | {
"pile_set_name": "DM Mathematics"
} |
791 = -4*m - 4*g, -4*m - 5*g + 30785 = 0. What is m rounded to the nearest 1000?
8000
Let v(d) = -d**3 + 5*d**2 + 15*d - 2. Let a be v(7). Let g = -1 + 3. Suppose -f + 69996 = -u, -2*u - 140012 = -g*f + a*f. Round u to the nearest 10000.
-70000
Let v(h) = -h**2 + 14*h + 4. Let r be v(10). What is r rounded to the nearest 10?
40
Let m = -1.30000306 + 1.3. Round m to 6 decimal places.
-0.000003
Suppose 8*s - 9*s = 27000. Round s to the nearest 10000.
-30000
Let p(a) = -a - 530000. Let t be (1*(0 + 0))/1. Let h be p(t). What is h rounded to the nearest one hundred thousand?
-500000
Let t(y) = -y**3 - 17*y**2 - 21*y - 1. Let b be t(-16). What is b rounded to the nearest ten?
80
Let w = -38.00000012 + 38. What is w rounded to 7 dps?
-0.0000001
Suppose -52618 = 9*l + 466682. Round l to the nearest 10000.
-60000
Let n = 1.09 - 1.089969. Round n to six dps.
0.000031
Let a = -0.044 + 0.04399929. What is a rounded to 7 decimal places?
-0.0000007
Let q = 27.76 + -28. Let j = -0.2376 - q. What is j rounded to three dps?
0.002
Let l = -24.00000035 - -24. Round l to seven dps.
-0.0000004
Suppose -3*i + 6*i - 4988 = -2*b, 5*b - 2*i = 12508. Let j be (-2 + 38)/(1/b). What is j rounded to the nearest one hundred thousand?
100000
Suppose 4*p - j - 33237 = 2*p, j = 4*p - 66477. Let i be (1000/(-6))/(1/p). Round i to the nearest one hundred thousand.
-2800000
Let f be (-6)/(-10) + 2/5. Suppose -j + 4 = f. Suppose x + 203 = 3*b - x, -270 = -4*b + j*x. Round b to the nearest 10.
70
Let i = -4 + -10. Let j = i + -4. Let s = j + 13.2. Round s to the nearest integer.
-5
Let i = -0.34 - -0.2. Let s = 33795.699 - 33795.83899991. Let x = i - s. Round x to seven dps.
-0.0000001
Let x = -0.0359855 + 0.036. Round x to 6 decimal places.
0.000015
Let k = 17.6999934 - 17.7. Round k to six decimal places.
-0.000007
Let r = 580 + -603.844. Let l = r + 1.324. Let i = l + 22. What is i rounded to one decimal place?
-0.5
Let b be 2/1*(2 + -1). Suppose 4*z - b*n = -n - 120001, z + 2*n = -29998. Round z to the nearest 100000.
0
Let u be (30 - (1 - 2))*261. Suppose 2*c - 14998 = 3*j, -4*j - 2*c - u - 11911 = 0. What is j rounded to the nearest one thousand?
-5000
Let n(l) = -l + 10. Let r be n(8). Let h = 0 + r. Suppose h*g - 3900000 = g. Round g to the nearest 1000000.
4000000
Let w = -1 + 1. Let v = 3.6 + w. What is v rounded to the nearest integer?
4
Suppose d - 45997 = -2*p, 7*p + 5*d - 68985 = 4*p. What is p rounded to the nearest 10000?
20000
Let x = 0.08 - 0.0706. What is x rounded to two decimal places?
0.01
Let g = -2820 - -4296. Round g to the nearest 100.
1500
Let f = 121.5 + -98. Let c = f - -3. Let j = c - 21. What is j rounded to 0 decimal places?
6
Suppose 0 = -10*j + 11*j + 1880000. What is j rounded to the nearest 100000?
-1900000
Let v = 16.00125 + -16. Round v to 4 decimal places.
0.0013
Let i = -3.5 - -4.5. Let n = 30668097.99999972 - 30668097. Let w = i - n. What is w rounded to seven dps?
0.0000003
Let l = -0.0879 + 0.07. Round l to 3 dps.
-0.018
Let p(m) = -456*m**2 - 8*m - 12. Let k be p(-7). Round k to the nearest one thousand.
-22000
Let z be (2000*-22)/(3/150). Round z to the nearest 1000000.
-2000000
Suppose -10*r + 17271872 = -242728128. Round r to the nearest 1000000.
26000000
Let b = -2889 + 2890.0005. Let n = -1 - -2. Let v = n - b. Round v to four dps.
-0.0005
Let s = -8.824 + -2.83. Let b = s + 11.8. What is b rounded to two dps?
0.15
Let g = -815.9 - -850. Let s = -37 + g. What is s rounded to the nearest integer?
-3
Let s(l) = 1018*l**2 - 4*l + 4. Suppose 0*g + 15 = -3*g. Let c be s(g). Let d = 11174 - c. What is d rounded to the nearest one thousand?
-14000
Let t = 3511 - 3547.58. Let b = t + 36. What is b rounded to 1 decimal place?
-0.6
Suppose 2105 = 2*w - 2*f - 3*f, -4155 = -4*w - f. Let u = w + -550. What is u rounded to the nearest 100?
500
Let n(k) = -k**2 + 6*k - 5. Let y be n(5). Let z = 4 - y. Suppose 4*h + 2*m - 4460 = -2*m, -2*h - z*m = -2220. Round h to the nearest one hundred.
1100
Let z be (-145600258)/(-13) + (-8)/(-52). Suppose 0*n - 16800020 = 3*n + 4*a, 0 = 2*n + 4*a + z. Round n to the nearest one million.
-6000000
Let i = 19302.942 - 19248. Let f = i - 55. Let u = 0.057943 + f. What is u rounded to 5 dps?
-0.00006
Let o = 8.857 + -9.69. Round o to one dp.
-0.8
Let s be (21 + 9)/((-6)/(-404)). Round s to the nearest 100.
2000
Let g = 716.83 - 712. What is g rounded to zero decimal places?
5
Let f = -1.700045 + 1.7. Round f to five dps.
-0.00005
Let z = -5225781 - -3125781. What is z rounded to the nearest one million?
-2000000
Let q = -0.17 - -0.36. Let n = q - -0.01. Round n to 1 dp.
0.2
Let f = 143375 + -143375.170009. Let n = f - -0.17. Round n to five decimal places.
-0.00001
Suppose 32 = -4*f + 8. Let r(c) = 306318*c**2 - 4 + 4 - 5*c - 92430*c**2 + 2. Let a be r(f). Round a to the nearest one million.
8000000
Let t(i) be the second derivative of -19*i**3/6 - 3*i**2/2 - 3*i. Let l be t(-7). Round l to the nearest 100.
100
Let y = 124116889 - 204916886. Let t be y/(-4) + 15/20. What is t rounded to the nearest 1000000?
20000000
Let m(z) be the first derivative of 8046*z**2 + 12*z - 5. Let r be m(-11). What is r rounded to the nearest ten thousand?
-180000
Let w = 0.02036 + -0.02. Round w to 4 dps.
0.0004
Let n = -12826 + 12825.63068. Let r = -0.71 + 1.08. Let c = r + n. Round c to four dps.
0.0007
Let p = -0.1 + 0.1. Let j = 7 + -6.99997. Let z = j + p. Round z to five dps.
0.00003
Let k be 39/4 - 1/(-4). Suppose 2*c + 0 - k = 0, t - 259985 = 3*c. Suppose -2*x + x - t = 0. Round x to the nearest one hundred thousand.
-300000
Let r(j) = -1275001*j - 3. Let g be r(-4). Let z be g/3 - 9/27. Round z to the nearest one million.
2000000
Let p = 5970982 + 2049018. Round p to the nearest one million.
8000000
Let i be (-8)/20 - (-42)/5. Let t be 5 + (2 - i/2). Let b be 2460*((-497)/t - 1). Round b to the nearest one hundred thousand.
-400000
Let h = -28 + 28. Let o = 0.216 + h. What is o rounded to 2 dps?
0.22
Let m(f) = 15754*f + 5. Let q(s) = -47261*s - 16. Let w(v) = 8*m(v) + 3*q(v). Let l be w(-8). Round l to the nearest 10000.
130000
Let g(h) = -26750*h**3 + h**2 - 2*h. Let n be g(2). Round n to the nearest ten thousand.
-210000
Let r = -5038140.89999977 + 5038141. Let s = r + -0.1. Round s to 7 decimal places.
0.0000002
Let a = -0.32 + 32.32. Let l = 112 - a. Let w = -93.9 + l. What is w rounded to 0 dps?
-14
Let w = -28.000012 + 28. What is w rounded to 5 decimal places?
-0.00001
Let a = -9.2 - -12. Let s = 2.799939 - a. Round s to 5 decimal places.
-0.00006
Suppose 0*g - 11391 = 2*g - 3*p, 0 = -4*g + 2*p - 22794. Round g to the nearest 1000.
-6000
Let i = 0.69 + -134.69. Let k = i - -134.0106. Round k to three decimal places.
0.011
Let l = 21 + -21.055. What is l rounded to 2 dps?
-0.06
Let t = -121283.36057 + 121284. Let c = t + -0.64. What is c rounded to four decimal places?
-0.0006
Let l = -329 - -329.652. Let y = 0.59 - l. What is y rounded to 2 decimal places?
-0.06
Let z = 2.4 - 2.6. Let y = 2.5 - 2. Let h = y - z. What is h rounded to 1 dp?
0.7
Let v be (3244 + -1)/(9/(-6)). Let g be v*3/(12/1738). Let j = 1729389 + g. Round j to the nearest 100000.
800000
Let v be (-5996 - (-2 - -2)) + -4. Round v to the nearest ten thousand.
-10000
Let l = 3.6 - 5.3. Let h = 1.7000007 + l. What is h rounded to six dps?
0.000001
Let w = -0.6 + 0.3956. Let f = 18 + -17.8. Let r = w + f. Round r to three dps.
-0.004
Let m = 20.9984 + -21. Round m to 3 decimal places.
-0.002
Suppose 2*z + z + 39300000 = 0. What is z rounded to the nearest one million?
-13000000
Let l = 0.3 + 0.2. Let f = l - 0.4994. Round f to four dps.
0.0006
Let l = 4 + 1.5. Let v = l + -6. Let u = v - -0.50032. Round u to 4 dps.
0.0003
Let o = -0.059 + 1.099. What is o rounded to zero decimal places?
1
Suppose 0 = -2*m + 27 - 139. Let x be (-4)/(-2) - (m + -2). What is x rounded to the nearest 10?
60
Let m = 16.89 + -0.45. Let p = -16 + m. What is p rounded to 1 decimal place?
0.4
Let i = 449919.69 + -217256003.69. Let p = -216806064.9999958 - i. Let z = -19 + p. What is z rounded to 6 dps?
0.000004
Suppose 2*p - t = -23924 + 6863, -15 = -5*t. Let i = p + 13629. What is i rounded to the nearest 1000?
5000
Let s = -0.2 - -0.19. Let k = s + 0.07. Let v = k - 0.0600 | {
"pile_set_name": "DM Mathematics"
} |
(54 + 35 + -12)?
-62
Calculate -15 + -5 + 11 - (10 - 30).
11
What is the value of -2 + 6 + 2198 + -2283?
-81
Calculate -56 - -21 - 47 - (-13 + -3 - -5).
-71
What is the value of (0 - -6) + (-13 + 1 - (1655 - 1654))?
-7
What is (3192 - 3136) + (-2 - -21)?
75
What is the value of -6 - (1 - 1) - (-32 + -40 + 93 + -29)?
2
Calculate 1 + -190 + -517 + 603.
-103
(-58 - -3) + (3399 - 3320)
24
What is -23 - (-23 + 7 + (-13 - -10))?
-4
What is 59 - (173 + 11 - 38)?
-87
What is (58 - -71 - 105) + -32?
-8
Calculate 25 - 26 - (-16 + 9 + 13 + -1) - -27.
21
What is 8 - (4 + -8 - -6)?
6
What is the value of (-16 - (11 - (13 - 1))) + 13 + 13 + 0?
11
Evaluate (27 - 5) + (-57 - (9 - 12)).
-32
77 + -84 + (5 - (2 - 2)) + -4
-6
What is (0 - (0 + -2) - (49 - 36)) + -42?
-53
(-2 - (-2 + -1 - 3)) + 65 + -152 + 78
-5
What is (5 - (14 - -7)) + (-2 + 34 - -19)?
35
Calculate 120 + -110 + -18 + 11.
3
What is 19 + 26 - 71 - 8?
-34
Evaluate 5 + 187 + (2564 - 2662).
94
Calculate 18 + (1 + -14 - -49) + 16.
70
Evaluate -47 + (-10 + -6 + 33 - -5).
-25
-2 - -4 - (-5 + 5 + (-19 - -9) - -51)
-39
What is the value of (120 - 15) + -98 + (-3 - -42)?
46
What is -108 + (-24 + 9 - -17) + (-8 - -8 - 5)?
-111
Calculate 32 - (20 + (51 - 89)).
50
What is the value of 13 + 15 + (12 - 51) + -21?
-32
What is the value of -6 + 12 - (-3 - ((0 - 0) + -14 + 10))?
5
What is the value of (-10 + 19 + -25 - (-1 - 2)) + -6?
-19
What is 21 + (-44 - -4) + 14?
-5
Calculate 4 - 67 - (-115 - 2).
54
What is -1 + (34 - (15 - (-1 - -10)))?
27
What is the value of 59 + 39 + -56 + (-44 - -25)?
23
What is the value of -176 + 180 + (-34 - 7)?
-37
(-2 - 4) + (-15 - (-12 - 0)) + (34 - 0)
25
What is -2 + (-17 - ((-3 - -13 - 88) + 18))?
41
Calculate 25 + -32 + 16 + 9 + 1.
19
(8 - (145 + -13) - (0 - -1)) + 296 + -286
-115
What is the value of (126 - 131) + -47 - ((0 - -2) + -2)?
-52
Calculate -12 - ((7 - -4) + 14) - (-2 + 15).
-50
Evaluate (-4 - -3 - (-8 + (-11 - -28 - 12))) + -2.
0
Evaluate (-4 - -1 - 4) + 91 + 25 + -10 + 4.
103
Evaluate 678 + -654 - (-17 + -1) - 14.
28
What is the value of 17 + -73 + 49 + (-7 + 1 - -2)?
-11
Calculate 3 + 2 - (-1 + 6) - ((-9 - -61) + -13).
-39
Evaluate 0 - 5 - (-29 - 19 - 13).
56
What is the value of -131 - (17 + -22 + -27) - 8?
-107
What is the value of (5 - ((-7 - (-18 - 4)) + (-5 - 21))) + -154?
-138
What is the value of (6 - (-23 + 3 + 5 + 8 + -8)) + 1?
22
15 + -61 - -33 - (-76 - 0)
63
What is (-80 + 6 - -13) + (-8 - -20) + -10 + -7?
-66
63 - (48 - -43) - (18 + 2)
-48
(-2 - -6) + (3 + -12 - (2 - 54))
47
-3 + 28 + -2 - (1474 - 1451)
0
Calculate (6 - 2) + (-51 - 1 - -15).
-33
Evaluate 49 + -1 - (-43 + 60 + -36 - -26).
41
Calculate -85 + 123 + (6 - -36) + 33.
113
Evaluate (67 - 130 - -48) + 40.
25
What is the value of (-6 - 104 - -52) + 1?
-57
Calculate 9 - (44 + -2 - -1 - (26 - -23 - 36)).
-21
Evaluate 7 + (15 + -44 - -3) - 34.
-53
0 + -34 + (-280 + 531 - 214)
3
What is the value of (1 + (-2 - 4) - -14) + -30 - (-9 - -10)?
-22
What is the value of -2 - 0 - (2 + -4 + (-10 - 15) - 38)?
63
What is the value of (1773 - 1690) + (-44 - -3)?
42
Evaluate (3 - -15) + (0 - 27 - 17).
-26
What is the value of -4 + 43 + -30 - (-6 + 11 - -9)?
-5
Evaluate (-116 - -132 - (2 + 6)) + -1 + -80.
-73
What is the value of -48 - (127 + -79 + -52 - (0 + 5))?
-39
Calculate (-4 - 186) + 150 - (-1 + -8).
-31
What is the value of (50 - 12 - 40) + (-32 - -1)?
-33
Evaluate -18 + (-11 - -21) + (20 + -11 - 46) + -11.
-56
Evaluate 8 + -19 + 12 - (74 - 89).
16
What is -38 - 2 - (-12 + (17 - (-10 + -7 + 31)))?
-31
Evaluate (-87 + 83 + -3 + (-5 - -5) - -9) + 98.
100
10 + -7 + (-18 - 14) + 18 + 40 + -1
28
26 - (-55 - -57 - -54)
-30
Calculate -2 + -16 + 7 - (-27 + 16 + -30).
30
What is 38 - (-10 + (-52 - -49))?
51
(25 - 129) + (2 - (-39 - -8))
-71
Evaluate 98 - 54 - 42 - -31.
33
What is 9 + (1 - 25) + 12 + 61?
58
What is the value of -4 - -16 - (-54 + (-79 - -90))?
55
Calculate 5 + -60 + (-95 - -144).
-6
What is the value of (-13 - (-1 + -47)) + (5 - -29)?
69
134 - (105 + 9) - (2 + -80)
98
Evaluate 49 + 0 + (2402 - 2454).
-3
-2 - -3 - 11 - (1 - (26 - 7))
8
Evaluate 21 - (-83 - -160) - -79.
23
What is the value of 30 + (-127 - -18 - -31) + 15?
-33
8 - ((-17 - -28) + -15) - (-38 + -4)
54
Evaluate (-39 - (-14 + 12 + -6 + 11)) + -13.
-55
What is the value of -32 + 6 + (31 - (-17 + -43))?
65
What is the value of 24 - (17 + -3 + 43 + -41)?
8
-11 + 19 + -1 + (26 - 43)
-10
-52 + 14 + -113 + 182
31
What is -32 - (-6 + (7 - 4)) - (25 - 6 - 13)?
-35
Calculate -5 + (-38 - (-17 + -35) - (1 - 0)) - -133.
141
Calculate -887 + 891 - (-76 + 14).
66
Evaluate 9 + 0 + -11 + (58 + 23 - 0) + 8.
87
Evaluate -42 - -22 - 91 - -10.
-101
What is 19 + -2 + 2 - 3 - (37 - (9 + 23))?
11
Calculate (7 + -12 - (5 - -37)) + -5.
-52
Calculate -1 - (1 + -2 + -72 + 8) - (-30 + 22).
72
What is -46 + -78 + -18 - -80?
-62
Calculate 207 + (-49 - (64 + -24)).
118
-2 - (46 + -54 - 32)
38
-79 + -19 + 37 + (13 - (0 - 1) - 4)
-51
Calculate -100 + 3 + -3 + (-4193 - -4157).
-136
What is -52 - (-72 + 66 + (-18 - -2))?
-30
Evaluate 4 + 14 + -8 + (-11 - -5) + 18.
22
What is the value of (15 - (-3 + -8)) + 24 + 27 + -5?
72
What is 7 + -85 + 37 - -10?
-31
Calculate -3 + 24 - (3 - 2 - (16 - 29)).
7
Calculate -43 + 146 + -202 - (31 + -3).
-127
What is (6 - (-6 - -25)) + 4 - (-20 + (3 - 13))?
21
What is the value of 42 - 2 - (27 + -45 + 44)?
14
What is the value of 98 - (21 + (7 - -15) + -17)?
72
-65 + -2 - (167 + -91 - 88)
-55
What is the value of (7 - 51) + (-692 - -759)?
23
Evaluate -6 + -30 + 5 + 40.
9
Evaluate 55 + -40 + 10 - 71.
-46
Evaluate 4 - (2 - 0) - (45 - 81 - -37) - -72.
73
Evaluate 84 - (-42 - (-120 + -79)).
-73
Calculate 5 + 3 - ((12 - (-7 + 7 + 4)) + -3).
3
What is the value of -121 - 2 - ((0 - -5) + -12 + (12 - 11))?
-117
Evaluate -49 + (112 + -2 - -47).
108
What is the value of -13 + -14 + 12 + 15 + -6 + -2 + 18?
10
Evaluate (-1 + 5 - -7) + 37 + -48 + 42 + -6.
36
Evaluate 26 - (-9 + -6 + -8 + -4 + 28).
25
Calculate -5 - (-2 + 10 - (18 - (-8 - -3) - -60)).
70
What is the value of -16 + (-6 - (7 - (-18 - -25) - -15))?
-37
Calculate (-14 - -49) + (13 - 60).
-12
What is the value of 106 - (-19 - 1 - (149 - 181)) - (-13 - 1)?
108
Evaluate -40 + 41 + 20 + -43.
-22
Calculate (-14 - 3) + (-35 - -48).
-4
16 - (31 - 14 - 4 - -9)
-6
Calculate 2 + 2 + (-20 - -22) + (-49 - -44).
1
Evaluate (-512 - -536) + 38 + 3.
65
What is the value of -7 - -1 - (40 + -90 - -41)?
3
Evaluate 52 - (36 - (-47 - -95)).
64
What is 162 + -33 + -139 + 2 + 0 + -32?
-40
Calculate (189 - 288) + ((1 + -4 - 8) + 4 - 4).
-110
What is the value of -6 + -83 + (-24 - -62)?
-51
Calculate -2 + -9 + -44 - (-291 + 293).
-57
Calculate (-12 - 41 - -95) + -34.
8
Calculate (4 - 6) + 49 + -47 - 13.
-13
Evaluate (2 - -7) + 0 + (-81 - (-1 - 57)).
-14
Evaluate -121 + 56 + 8 + 58.
1
Evaluate -13 - (-11 - (-15 + 19 - 78)).
-76
-11 - (-6 + -20 + (2 - -1) - (-76 + 82))
18
What is the value of -107 - (-3 - (-37 - 2 - -28))?
-115
(0 - -4 - (2342 + -2376)) + 38
76
Evaluate 1 + 15 + -12 + (-43 - -24) + 102.
87
Evaluate (-29 - (-86 - -44)) + 47.
60
What is (-19 - -7) + -11 + (-44 - -21)?
-46
What is the value of 14 + (-34 - -3) + 6 + 13 + (87 - 1)?
88
-3 + 6 + 0 + -38 + 19 + 25 + -12
-3
What is the value of 93 + -42 + 5 - (1 - 9) - 13?
51
Evaluate 122 - (19 - (53 + (-6 - 38)) - (0 - 3)).
109
What is 22 + 15 + 19 + -15 + 10?
51
What is the value of (-15 + 75 - 65) + (61 - (2 - 2))?
56
What is (34 - 26) + 0 + 8 + (-162 - -152)?
6
What is -30 + -6 + 8 - -22?
-6
(5 - 2) + 16 + -38 + (3 - -17)
1
What is the value of 120 + (2 - 18) + (26 - 17) + -6 + -2?
105
Calculate 26 - (8 - (7 - 3)) - 77.
-55
Evaluate 0 + 0 + -1 + (59 + -197 + 50 - -40).
-49
What is the value of (-55 + 32 - -4) + 6 + 6?
-7
Evaluate 23 + -41 + 107 + -50.
39
What is 1966 + -1982 - (-55 - (1 - 1))?
39
What is 39 + -23 + -28 - -10?
-2
What is -23 + -83 + -19 + 31?
-94
Calculate 1 + 7 + -4 + (32 + -25 - (-38 - 2)).
51
Evaluate -22 + (10 - 4 - -33).
17
What is (-2 + -48 - 1) + 3 + -202 + 182?
-68
(-46 - (3 + -17)) + 12 + -44 + 0 + 0
-64
Calculate (-2 + 0 + 0 - (-1168 + 1221)) + -8 + 3.
-60
What is the value of (5 - 7) + -2 + 37 - (17 + -14 - 7)?
37
Calculate (11 - 5 - -3 - -32) + (-4 - 0).
37
Evaluate -19 - (-1 - 14) - -45.
41
Evaluate 203 + -105 + (-145 - -96 | {
"pile_set_name": "DM Mathematics"
} |
*(-1)))**(-2) assuming u is positive.
u**9
Simplify (((l*l/(l/(l*(l*l**(-7)*l)/l*l))*l)/l)/l**4)/(l**(2/3)*l)**(7/3) assuming l is positive.
l**(-98/9)
Simplify (i/i**10)/i**(-10) assuming i is positive.
i
Simplify ((p/p**8)/p*p**(-1/6))/(p/p**(-2)*p*p*p/(p**(-1/3)*p)) assuming p is positive.
p**(-27/2)
Simplify y**(2/21)*(y*y/(y**(-26)/y))/y assuming y is positive.
y**(590/21)
Simplify d*d**(-4)*d*d*d**8 assuming d is positive.
d**7
Simplify (w**(-5)*w)/(w*w/(w**6/w)) assuming w is positive.
1/w
Simplify (a/(a/a**(3/2))*(a/(a/a**(1/4)))/a)/(a*a/(a*a**(-1)*a)*a)**37 assuming a is positive.
a**(-293/4)
Simplify (l**2*l)/l**10 assuming l is positive.
l**(-7)
Simplify (j**(1/8)*j)**(9/13) assuming j is positive.
j**(81/104)
Simplify (u**8*u/(u/(u**(-1/11)*u*u)))**(15/4) assuming u is positive.
u**(1635/44)
Simplify (((q/(q**(2/5)/q*q*q))/q)/q)/(q*q*q/(q*q/q**(2/7))*q*q)*(q**(1/3)*q)**(-1/15) assuming q is positive.
q**(-1819/315)
Simplify (q/((q*q**(1/11)*q*q)/q)*(q/q**(-8))/q)**(1/6) assuming q is positive.
q**(38/33)
Simplify (f/(f**(-13/5)/f))**(1/5) assuming f is positive.
f**(23/25)
Simplify (m**(-1/4)*m)/m*(m**(7/5)*m)/m*((m/m**(1/3))/m)**(-48) assuming m is positive.
m**(343/20)
Simplify ((s/s**4)/((s/s**(3/2))/s))**(-3/4) assuming s is positive.
s**(9/8)
Simplify ((c/(c*c/(c**(-21/5)/c)))/c*c)/c*c**(4/9) assuming c is positive.
c**(-304/45)
Simplify (z**(1/6)/z**6)/(z*z**(-2/3))**(1/15) assuming z is positive.
z**(-527/90)
Simplify (a**5/a**(-5/3))/(a/a**(2/11))**(-16/11) assuming a is positive.
a**(2852/363)
Simplify v/(v/(v**(-1/8)*v))*v**(-10)/v assuming v is positive.
v**(-81/8)
Simplify i*((i*i/i**15*i)/i*i*i)/i*i**(-1/11) assuming i is positive.
i**(-122/11)
Simplify t**(-11/2)*t*t/t**34 assuming t is positive.
t**(-75/2)
Simplify (f**(-3/8)*f)/(f/f**(2/7)) assuming f is positive.
f**(-5/56)
Simplify s**(-16/7)*s*s**(25/2) assuming s is positive.
s**(157/14)
Simplify (((h*(h**0*h)/h*h*h)/h)/h*h)**21/(h/h**2)**5 assuming h is positive.
h**47
Simplify (z**0)**1/(z**(-2)/(z*z**(-2/3)*z)) assuming z is positive.
z**(10/3)
Simplify ((((y/(y**(2/29)*y)*y*y)/y)/y)/y**(-9))**(-5/4) assuming y is positive.
y**(-1295/116)
Simplify (h*h**6/h)/(h*h**0)*((h*h**(-1)*h*h)/h)**(-3/34) assuming h is positive.
h**(167/34)
Simplify (k**(-4)/(k/(k/k**(-3/11)*k*k)*k))/((k**(-3)/k)/k**(-4/5)) assuming k is positive.
k**(26/55)
Simplify ((v**(2/7)/v)**(2/5))**(-9) assuming v is positive.
v**(18/7)
Simplify ((z/(z*z**1))/(z/z**(-2/3)))/((z**1*z)/z**(-1/4)) assuming z is positive.
z**(-59/12)
Simplify (x**7*x**(-2/7)/x*x)/(x**(-1))**33 assuming x is positive.
x**(278/7)
Simplify ((b**(-2/7)/b)**(-2/7))**(-17) assuming b is positive.
b**(-306/49)
Simplify (((s*s**5)/s)/s*((s*s**7/s)/s*s)/s*s*s)/(s**(-3)/(s*s/s**(-1/7))) assuming s is positive.
s**(120/7)
Simplify c/(c**(6/5)/c)*c*c/(c**(-8)*c) assuming c is positive.
c**(49/5)
Simplify ((j*j*((j/((((j/j**(1/2)*j)/j)/j*j*j)/j))/j)/j*j)/j*j)**19/((j*j/(j*(j/(j**(-4)/j))/j*j))/j*j**(-1)/j*j) assuming j is positive.
j**(71/2)
Simplify (l/l**1)**15 assuming l is positive.
1
Simplify (l**2)**(-11)/(l*(l/(l**(-1)*l))/l*l*l)**(-2/41) assuming l is positive.
l**(-896/41)
Simplify x**4*(x**17/x)/x assuming x is positive.
x**19
Simplify n*n*n*n**(-1/7)*n*n**(-7)/n*(n*n**2*n*n)**(-2/37) assuming n is positive.
n**(-1143/259)
Simplify (z/(z*(z/(z**(-4/3)*z))/z))/((z/(z**(-2/9)*z))/z) assuming z is positive.
z**(4/9)
Simplify (s*(s*s**14)/s)/s**(2/7) assuming s is positive.
s**(103/7)
Simplify (i*i**(-3/8))**42 assuming i is positive.
i**(105/4)
Simplify ((a*((a*a**(-1/12))/a)/a*a)/((a/a**(3/2))/a))**(-24) assuming a is positive.
a**(-58)
Simplify (q**11/q*q**9)**28 assuming q is positive.
q**532
Simplify (a*a**(3/4))/(a*a*a**(3/2)*a) assuming a is positive.
a**(-11/4)
Simplify (g**(-2))**48/(((g**(-1/5)/g*g*g)/g)/g*g*g)**(-19) assuming g is positive.
g**(-404/5)
Simplify x*x**13/x*x*x**(2/7) assuming x is positive.
x**(100/7)
Simplify r**(-21)/(r**8/r) assuming r is positive.
r**(-28)
Simplify f/(f**(2/29)*f)*f*f*f*f**(7/3) assuming f is positive.
f**(458/87)
Simplify (s/s**8*s*(s*s*s/(s**(-3/7)*s))/s)/((s/s**2*s)/s**6) assuming s is positive.
s**(10/7)
Simplify (u**(-1/7)/u)**41 assuming u is positive.
u**(-328/7)
Simplify ((r**0/r)**(4/33))**8 assuming r is positive.
r**(-32/33)
Simplify (s**(2/21)/s**(-13/5))**(-8) assuming s is positive.
s**(-2264/105)
Simplify x**(-6)/(x*(x/((x**4*x)/x))/x)*(x**(-1/4)*x)**(2/63) assuming x is positive.
x**(-125/42)
Simplify (h/h**5)**38 assuming h is positive.
h**(-152)
Simplify (s**1)**(-1/8)*s**1/(s*(s*s/(s**(-2)*s))/s) assuming s is positive.
s**(-17/8)
Simplify (o**(-1)/o*o**(-2/7))**(-34/9) assuming o is positive.
o**(544/63)
Simplify l**(-1/9)*l*(l**(2/27)/l*l*l*l)/l assuming l is positive.
l**(53/27)
Simplify (n*n**(-1/4))/n*n*n**(2/5) assuming n is positive.
n**(23/20)
Simplify (n**(-1/4)/((n**5*n)/n))/((n**(-2/5)/n)/n)**2 assuming n is positive.
n**(-9/20)
Simplify (b**(-2/17))**(-1/32) assuming b is positive.
b**(1/272)
Simplify (j**2)**(2/33)*j**(1/2)*j/j**(3/5) assuming j is positive.
j**(337/330)
Simplify (d**(-6/7))**(-2/41) assuming d is positive.
d**(12/287)
Simplify ((m*m*m**29)/m)/(m*m**(-28/3)) assuming m is positive.
m**(115/3)
Simplify p**(2/5)*(p**2/p)/p*(p/(p/p**(-1/6)))/(p*p**(-1/2)/p) assuming p is positive.
p**(11/15)
Simplify ((z*z*z**5)/(z**(-1/2)*z))**(25/3) assuming z is positive.
z**(325/6)
Simplify (u/u**(1/2))**(2/173)*u**(8/3)*u*u*u**(-3) assuming u is positive.
u**(868/519)
Simplify ((t**2*t)/(t*t/((t*t*t/((t**(-5/4)*t*t*t)/t))/t)))/(t**(-1/10)/(t*t**6)) assuming t is positive.
t**(187/20)
Simplify (w**(-5/14)/w)/(w/w**(2/19)*w) assuming w is positive.
w**(-865/266)
Simplify (n**(-6))**(-44/5) assuming n is positive.
n**(264/5)
Simplify (s**(31/2)*s*s*s)/(s/s**(8/13)) assuming s is positive.
s**(471/26)
Simplify (l**(-6)*l/(l/l**(3/4))*l*l)**(1/11) assuming l is positive.
l**(-13/44)
Simplify z*z**23*z*z**(2/31) assuming z is positive.
z**(777/31)
Simplify (h**(-4)/h)/((h**(-8/9)*h)/h) assuming h is positive.
h**(-37/9)
Simplify f**(-20)/(f*f**(-15)/f) assuming f is positive.
f**(-5)
Simplify w**(-1/4)*w*(w/(w*w*w**(-13)/w*w))/w assuming w is positive.
w**(47/4)
Simplify (p**1)**(-2/15)*(p**(2/5))**(-15) assuming p is positive.
p**(-92/15)
Simplify (v*v/(v**(-8)/v*v)*v*v**(-1/3))**(1/3) assuming v is positive.
v**(32/9)
Simplify f**(-6)*f*f**(-1/5)*(f*f**1)**(2/9) assuming f is positive.
f**(-214/45)
Simplify (z/(z/((z/z**(-1))/z)))**46*z*z**(-1/6)*z/z**(2/13) assuming z is positive.
z**(3719/78)
Simplify ((h*h**(4/7))/(h*(h*h**(4/11))/h))/((h**11*h)/(h**(-4)*h*h)) assuming h is positive.
h**(-1062/77)
Simplify (o/(o**4*o))/(o*o/(o/(o**(6/17)*o))) assuming o is positive.
o**(-108/17)
Simplify ((o**(-2/5)*o)**(1/4))**50 assuming o is positive.
o**(15/2)
Simplify (z/((z/(z*(z*z*z**(1/2)/z*z*z)/z))/z))**(-12)/(z**(-1/3)*z*z**(-1/6)) assuming z is positive.
z**(-109/2)
Simplify (l*(l/(l*(l*l**(-1)/l)/l))/l)**(1/42)/((l**(-6)/l)/(l/l**(-6))) assuming l is positive.
l**(295/21)
Simplify ((b**(2/3)*b)/b)**(-23) assuming b is positive.
b**(-46/3)
Simplify w**(2/23)/w**(13/5) assuming w is positive.
w**(-289/115)
Simplify (v**(-3/13)*v**(-8))**(1/8) assuming v is positive.
v**(-107/104)
Simplify l**2*l*(l**5*l)/l*(l**1*l)**(-2) assuming l is positive.
l**4
Simplify ((q*q/q**(-3/7)*q*q)/q**(2/9))**(-16/3) assuming q is positive.
q**(-4240/189)
Simplify (r*r/(r**(-1/4)*r))**(-45)*r**(4/11)/(r**(2/27)/r) assuming r is positive.
r**(-65293/1188)
Simplify v**(7/4)/(v/(v*v**(6/7))) assuming v is positive.
v**(73/28)
Simplify a**(-12/5)*a*a**4/a assuming a is positive.
a**(8/5)
Simplify (x**(2/79)/x)/x**(-2/61) assuming x is positive.
x**(-4539/4819)
Simplify ((g*g**(-2))**(38/5))**19 assuming g is positive.
g**(-722/5)
Simplify ((i**(-1/5)/i)/(i**(2/5)/i*i))**42 assuming i is positive.
i**(-336/5)
Simplify (m*m/((m/(m/(m**(2/11)/m)))/m))**(-43) assuming m is positive.
m**(-1806/11)
Simplify (h/(h*((h/((h**(2/3)*h)/h))/h)/h*h))/h**(-18) assuming h is positive.
h**(56/3)
Simplify (z**(2/9))**(10/9) assuming z is positive.
z**(20/81)
Simplify ((b*(b/b**(3/16))/b)/b*b)/b*b**6 assuming b is positive.
b**(93/16)
Simplify i**(-11)/(i/(i**(-8)/i)) assuming i is posi | {
"pile_set_name": "DM Mathematics"
} |
rm g*h**3 + k*h**2 + u + f*h**4 + i*h and give g.
2
Rearrange (1 - 3 - 1)*(-6*m + 2*m + 2*m - 2) to the form v*m + l and give l.
6
Rearrange (-3*x**2 + 5*x**2 + 8*x**2)*(-2*x**2 - 1 - 4 + 2) to h*x**4 + p*x**3 + t*x**2 + d*x + j and give t.
-30
Express 1 - 25*o**2 - 13*o**2 - 87*o**2 as x*o**2 + n*o + j and give x.
-125
Rearrange 4*l**3 + 4*l**3 - 2 + 0*l**3 - 3*l**3 to a*l**3 + p*l + m + w*l**2 and give a.
5
Rearrange (1 + 1 - 4)*(5*h + h + 0*h + 2*h - 3*h + 0*h + (4 - 1 - 5)*(2*h + 4 - 4) - 3*h + 4*h + 0*h) to b*h + f and give b.
-4
Rearrange (-12 + 5 + 4)*(-2 + 6 - 2)*(0*s + 2*s + 0*s)*(3 - 3 + 2) to the form u*s + d and give u.
-24
Express 2 - 5*o**4 - 62*o**3 + 4*o**2 + 62*o**3 in the form m*o**3 + b + k*o**2 + u*o + h*o**4 and give k.
4
Rearrange -8 + 8 - 5*i + (0 + 0 + i)*(-2 - 1 - 3) to u + d*i and give d.
-11
Express ((-4 + 4 + 2)*(-2 - 2 + 0) + 2 - 1 - 2 - 2 + 4 - 3)*((-2*f - 3*f + 3*f)*(f - f - f) - f**2 + f**2 + 2*f**2) in the form n + x*f + h*f**2 and give n.
0
Rearrange (-9*q + 3*q - 3*q)*(-4*q + 5*q - 2*q) to o*q**2 + b + i*q and give o.
9
Express (-7 - 145*l + 152*l - 3 - l**2)*(-1 + 3 - 1) as u*l**2 + k + g*l and give g.
7
Express -12*a**3 + 2*a**4 + 12*a**3 - 1 + 2*a**2 - 2*a as v*a**3 + y + r*a**2 + m*a + g*a**4 and give r.
2
Rearrange 2 + 2*c**3 + 7*c**2 + c**2 - 6*c**2 to q*c**3 + f*c**2 + y*c + z and give z.
2
Express (u**2 - 2*u**2 - u**2)*(-18*u**2 + 61*u**2 - 14 + 15) as z*u + b*u**3 + r + q*u**4 + w*u**2 and give w.
-2
Rearrange (-4 + 4 - 1)*(2 + 2*i - 2) + i - 8*i + 6*i to y*i + k and give y.
-3
Rearrange -3*c + 4*c + 4 - 2*c**2 + 45*c**4 - 48*c**4 - 5 to n*c**4 + p*c**3 + i*c + y*c**2 + g and give n.
-3
Rearrange -4 + 13 - 11 - 3*a**3 to the form l*a + s + i*a**3 + q*a**2 and give i.
-3
Rearrange 39 - 39 - 7*k + 3*k - 2*k + 0*k + (0 - 2 + 3)*(1 - 1 + 2*k) - k + 0 + 0 + (k + 2 - 2)*(-4 + 1 + 7) - 2*k - 2*k + 6*k to d + u*k and give u.
1
Rearrange -20 + 12 + 7 - 2*p**2 + 0*p**4 - p**4 + 2*p**3 to u*p + g*p**4 + r*p**2 + a + z*p**3 and give u.
0
Express -2*w**2 + 3 - 3 + (2*w + w - 4*w)*(-w - 2*w + 4*w) + (2*w + 0 + 0)*(w - 3*w - w) as t*w**2 + n*w + b and give t.
-9
Express -27*g**3 + 0 + 43*g**3 - 1 as b*g**3 + d*g + m + q*g**2 and give m.
-1
Express (-1 - 5 + 4)*(6*g + 3*g - 5*g) + 4*g + 6*g - 6*g in the form u*g + h and give u.
-4
Rearrange 3*m - m + 0*m + (-82 + 22*m + 82)*(-5 - 1 + 4) to the form s*m + p and give s.
-42
Rearrange 17*r**2 - 2 - 8*r**2 - 3*r - 10*r**2 - r**4 to the form j*r**2 + f*r + m + b*r**3 + u*r**4 and give m.
-2
Rearrange (34 + 7*y**2 - 34)*(-5 + 1 + 0)*(-2 + 3 - 3) to g*y**2 + v*y + s and give g.
56
Express r**2 + 28 + 27 - 64 as n*r + h*r**2 + l and give l.
-9
Express -6 + 0*r**2 + r**2 - 2*r**2 + 0*r**2 in the form i + n*r + h*r**2 and give h.
-1
Rearrange -2*d**2 + 3*d**4 - 2*d - 3*d**2 - d**3 + 5*d**2 to w + s*d**2 + r*d**4 + f*d**3 + g*d and give r.
3
Express (3*q + 8*q - 10*q)*(-3 - 2*q + 3)*(5*q - 4*q - 2*q) in the form k*q**3 + y*q**2 + c + v*q and give c.
0
Rearrange (127*m**2 - 120*m**2 + 1 + 3)*(2*m - m**2 - 2*m) to the form j + q*m + t*m**3 + n*m**2 + u*m**4 and give n.
-4
Rearrange (-2 + 1 + 3)*(3*q + q - 5*q)*(19 - 54 - 4)*(2*q**2 - 7*q**2 + 4*q**2) to w*q**3 + o*q + z*q**2 + a and give a.
0
Rearrange -5*d + 10*d + 10*d to the form t*d + q and give t.
15
Rearrange (2 - 2 - 3)*((16 - 4 + 13)*(-3*g + 6*g - 4*g) + 4 - 4 + 2*g) to the form q*g + z and give q.
69
Rearrange (3*z - 2*z - 2*z)*(1 - 1 + 2*z**2) + (z + 4*z - 4*z)*(-3*z**2 + 3*z**2 - 2*z**2) + z**3 + z**2 + 2 - z**2 to m + j*z + s*z**2 + q*z**3 and give q.
-3
Express 351*q - 2*q**2 - 172*q - 12*q**3 - 175*q + 2 as d*q**2 + c*q**3 + i*q + n and give d.
-2
Express -34*b**2 + 0 - 2*b**3 + 1 + 1 + 29*b**2 in the form v*b + z*b**2 + m*b**3 + w and give m.
-2
Express 51*w + 2*w**3 - 24*w - 28*w in the form l*w + r*w**2 + s + t*w**3 and give l.
-1
Express -9 - 3*y - 12 + 17 in the form l*y + i and give l.
-3
Rearrange -263 + 263 - 94*p**3 + (p**2 + 2*p**2 - 4*p**2)*(-p - 3*p + 3*p) to q*p**2 + m + t*p**3 + n*p and give m.
0
Express 7*u - u**2 - u**3 - 56 + 56 in the form i*u**3 + z + k*u**2 + j*u and give z.
0
Rearrange (0 - 1 + 0)*(-7 + 0 + 0)*(5*r**3 - 5*r**3 - 2*r**4) to u + m*r**2 + d*r + q*r**4 + j*r**3 and give q.
-14
Rearrange -2*y**2 + 3*y**2 - 4*y**2 + y**2 + 27*y**3 to the form s + n*y**2 + g*y**3 + l*y and give s.
0
Rearrange 8 - g**4 + 2*g + g**3 - 1 - 5 - g**2 - 2*g**3 to b*g**4 + o + k*g + m*g**3 + t*g**2 and give o.
2
Rearrange -w - 3 + 3 + (-1 + 1 + 2*w)*(3 - 4 + 0) + 5*w + 0*w + w to the form d + k*w and give k.
3
Rearrange j - j + j - j + 0 + 0 + (-1 - 1 + 3)*(2*j + 3*j - 3*j) + 0 - 2*j + 0 - 2*j + 2*j - 2*j - 18*j + 32*j - 22*j to the form q*j + t and give q.
-10
Rearrange 3 - 14*w - 1 + 10*w to g + n*w and give g.
2
Express 6*r**3 - 2*r**3 + 2 - 3 + 2 in the form x*r**2 + m + g*r**3 + k*r and give g.
4
Rearrange -2*x**3 + 3*x + 3*x**4 - 2*x**2 + 0 - 7 + 5 to w*x**4 + a + u*x**3 + k*x + m*x**2 and give a.
-2
Rearrange -8 + 16*x**2 - 25*x**2 + 14*x**2 to the form h*x**2 + i*x + u and give u.
-8
Rearrange -2*x**4 + 6 - 10 + 11 - x - 2*x**3 + 0*x**3 to the form k + h*x**4 + n*x + z*x**2 + q*x**3 and give n.
-1
Rearrange z**2 - 3*z**2 + 0*z**2 + (4 - 4 - z**2)*(2 + 2 - 2) + 8*z**2 - 38 - 12*z**2 + 2*z**2 to q*z + n*z**2 + u and give n.
-6
Rearrange 8 - 9 + 2*r + 11*r to the form c*r + u and give u.
-1
Express (-3*b**4 + 0*b + 0*b)*(0 + 4 - 1) as s*b**2 + o*b**3 + t + p*b + n*b**4 and give n.
-9
Rearrange p**3 - 3*p**3 + 0*p**2 - p**4 + 4*p**4 + 5*p**2 to i*p**3 + f + z*p + w*p**4 + h*p**2 and give i.
-2
Express 6*a - a - 1 - a**4 + a**2 - 3*a + 0*a in the form j*a**2 + v*a + l + k*a**4 + i*a**3 and give l.
-1
Express (6*a + 36*a + 24*a)*(0*a - 2*a + a) as r*a**2 + v*a + s and give s.
0
Express -2*i**3 + 11*i**2 + 7*i**2 - 4*i**2 + 2 in the form q*i + c*i**3 + y*i**2 + n and give y.
14
Rearrange -c**2 - 3*c**2 + 21*c**3 + 2 - 10*c**3 + c**2 to k*c**3 + t*c**2 + d + s*c and give d.
2
Rearrange (6 - 10*z - 6)*(-3*z**3 - z**3 - 52*z + 53*z) to x + t*z**4 + h*z**3 + l*z**2 + n*z and give l.
-10
Rearrange 7*j**3 - j**3 - j - 2 + 0 + (1 + 2 - 5)*(-5*j + 5*j - j**3) - 3*j**2 + 3*j**2 + j**3 - 2*j**3 + j - j to y*j**3 + n + u*j**2 + o*j and give y.
7
Rearrange 2*j + 28 - 48 - 31 to the form y*j + c and give y.
2
Rearrange -129 + 129 - 41*w to the form i + v*w and give i.
0
Express 47*k - 1 - 13 - 49*k in the form r*k + i and give i.
-14
Express (0 - p + 0)*(38 + 96 - 148 + 92) as d*p + x and give d.
-78
Rearrange 3*b**4 + 3*b**3 + 0*b**2 - 2*b**4 + b**2 to h*b**4 + z + r*b + i*b**3 + t*b**2 and give r.
0
Rearrange 4*k**2 + 2*k**3 - 4*k**2 + (k**3 + k - k)*(0 + 3 - 1) - k**3 + 4*k**3 - 2*k**3 to the form l*k**2 + b*k + z + p*k**3 and give p.
5
Rearrange -z**3 - 2*z**2 + 0*z**3 + 467 - 2*z**4 - 469 + 2*z to w + u*z**2 + v*z**4 + p*z + b*z**3 and give p.
2
Rearrange (0 + 0 + 2*j)*(6*j + 0*j - j**2 - 2*j) to the form f*j**3 + s*j + d + y*j**2 and give y.
8
Express (-2*d + d + 0*d)*(0*d - 2*d + 0*d) + 10*d**2 - 61*d**2 + 9*d**2 in the form q*d + y*d**2 + c and give y.
-40
Express -16*c**2 - 2*c**3 + 16*c**2 - 1 + c in the form g*c + n*c**3 + l + z*c**2 and give g.
1
Express 26 + 15 - 26 + j + (-1 - 1 + 0)*(-4*j + j + j) - j - 2*j + 2*j in the form v + f*j and give f.
4
Rearrange (3 + 0 - 5)*(2 + 1 - 1)*(2*b - 3*b - b) to v + a*b and give a.
8
Rearrange 5*t**3 - 9*t**4 + 7*t**4 - t**2 - 4*t - 7*t**3 to the form m*t + b*t**4 + h*t**3 + l + w*t**2 and give w.
-1
Express 3 - 1 + 0 - 7*y**3 in the form q*y**2 + p + k*y**3 + h*y and give p.
2
Rearrange (-3 + 2 - 2)*(2 - 2 + q**3 + (3 - 3 - 2*q**2)*(3*q + 2*q - 4*q)) to the form t*q**2 + o*q + z + l*q**3 and give l.
3
Express 14 - 16 + 2 + d**3 - 18*d**2 as l + m*d**3 + t*d**2 + a*d and give t.
-18
Express (1 - 3 + 0)*(-4 + 4 + 2)*((c - c - c)*(3 - 5 + 1) - 23*c + 23*c + 90*c) as d*c + s and give d.
-364
Express 7*w**2 + 145*w**3 + 3*w - w - 3*w**2 - 142*w**3 as o*w + y*w**2 + a*w**3 + l and give a.
3
Express 3*l**2 + 3 + 0*l**2 - 3*l**2 - 2*l**3 as y + t*l**3 + z*l**2 + m*l and give y.
3
Express -17*x**3 + 9 + 18*x**3 - 2 as o*x + i + k*x**2 + c*x**3 and give i.
7
Express 5*m + 7*m - 18*m - 7*m as n + v*m and give v.
-13
Rearrange -16*a**4 - 6*a**4 - 16*a**4 + (-2*a**2 + 4*a**2 | {
"pile_set_name": "DM Mathematics"
} |
t be (-16)/(-7) + (-2)/7. What is the common denominator of d/(-4) + t + (-24)/(-208) and -6/11?
143
Let u = 229 - 2068. Let j = 5566/3 + u. Calculate the common denominator of j and -31/2.
6
Let c = 4119012689/84 + -343993189/7. Let q = c - -106020. Find the common denominator of q and 73/18.
252
What is the least common multiple of ((-23)/(-2))/(9/(130 + -4)) and 184?
1288
Let z be (-8)/(-48) + 35/6. Find the common denominator of (291/24*-2)/z and -49/11.
264
Let d = -7860 + 7992. Calculate the smallest common multiple of d and 1914.
3828
Suppose 2*l + 3*o - 42 = 0, -4*o + 21 = l - 5*o. Find the common denominator of ((-42)/(-8) + -5)/(l/(-81)) and 1/(-8)*182/8.
224
Let c be (-7)/2*(-660)/(-385). Calculate the common denominator of (2 - 33)/(1 - -8) and 670/c*87/(-290).
18
Calculate the lowest common multiple of (-3720)/(-50)*1 - (56/(-10) + 5) and 66.
1650
Let c = 2493 + -2484. What is the lowest common multiple of 1659 and c?
4977
Find the common denominator of -33/8 and (2920/3018)/(-5)*(-552)/(-1472).
4024
Let h be ((6 - 6) + 2)/(2/206). Suppose 5*f = -2*u + 221, -3*f = 2*u - 21 - h. Calculate the lowest common multiple of u and 20.
1180
Let n = -512 + 788. What is the smallest common multiple of 14 and n?
1932
Let o = 18 + 0. What is the common denominator of (-25)/o*(-1)/5 and 1196/2093 - (-1653)/(-504)?
72
Suppose -5*a - 9 = p - 4*p, 2*p = 4*a + 6. Suppose 809*f + 53284 - 89020 - 100985 = 0. Calculate the smallest common multiple of p and f.
507
Let p be (2/(-15))/(-24*20/477475). Let n = -899/16 + p. Let b = n - 76. Calculate the common denominator of b and 59/21.
63
Suppose 25*j - 13260 = 440 + 3175. What is the smallest common multiple of 9 and j?
675
Suppose -4*s = -s - 99. Let u(i) = -i**2 + 70*i - 1095. What is the least common multiple of u(46) and s?
99
Suppose -3517 - 2723 = -20*r. Let n = 389 - r. What is the lowest common multiple of n and 49?
539
Suppose 2*m + 2*y + 48 = 0, 3*m + 24 + 48 = 2*y. Find the common denominator of 85/8 and (248/(-32))/(2212/m).
4424
Let n = -26269 + 26281. Calculate the least common multiple of 18192 and n.
18192
Let n(v) = -v**2 + 23*v + 489. Calculate the least common multiple of n(36) and 257.
5397
Let p(r) = -359*r - 1888. What is the least common multiple of p(-6) and 3781?
52934
Find the common denominator of 27/829 and (-3180)/(-530) + (-105)/4.
3316
Let z = 24 - 2. Let h(f) = 7*f + 34. Let x = -12 + 8. Calculate the least common multiple of z and h(x).
66
Calculate the smallest common multiple of (-65)/15*90/105*-21 and 351.
702
Let z = 28314799/250 + -113259. Find the common denominator of z and -77/200.
1000
Let t = -44997/22 + 2043. Calculate the common denominator of t and (-3843)/(-1872)*-3 + (-2)/13.
176
Let x be (6 - 7)*(2 - 1) + 3. Suppose -x*s + q = -17, -2*q - 2 + 8 = 0. Calculate the lowest common multiple of 16 and s.
80
Let q = 5489/32 + -173. Find the common denominator of 91/3888 and q.
7776
Suppose 5*g = -10*p + 15*p + 170, 2*p - 124 = -4*g. Calculate the lowest common multiple of 152 and g.
608
Suppose 24*b - 2*d = 21*b + 62, -d = b - 24. Let r(m) = -91*m - 2. Let n be r(-7). What is the lowest common multiple of b and n/15 - 2/6?
462
Let j(x) = -226*x + 9296. Calculate the smallest common multiple of j(41) and 3 + (-1 - 1) + 23.
120
Let r be 2646/1224 + 3/(-4). Let c = r + 152/85. Find the common denominator of (4/55)/((-2)/(-5)) and c.
55
Suppose -127*c - 128 = -128*c + 75. What is the least common multiple of 70 and c?
2030
Let d = -2334/31 - -127927/1674. What is the common denominator of d and 13/12*(-30)/(-12)?
216
Suppose 4*o = 91*g - 90*g + 4034, -4 = 2*g. What is the smallest common multiple of 90 and o?
5040
Let n = 1543532/26058573 - -2/40653. Find the common denominator of n and 67/4.
2564
What is the common denominator of 65/76 and (16/24 - (-10)/75) + 3266/(-5320)?
532
Let j = 13774 + -220465/16. Calculate the common denominator of (-3 + 54/36)*221/30 - -7 and j.
80
Let a = 1417390/70153 + -1474/73. Let m = -27725/11532 - a. Calculate the common denominator of m and 169/20 + 12/(-60).
12
Let d be (2/4)/((-3)/102). Find the common denominator of (d/7)/((-36)/(-14)) and (48/27)/(12/(-72)).
18
Let l = 108 - 106. Suppose l*x - x - z = 13, -2*z = 5*x - 100. What is the lowest common multiple of x and 54?
54
Let s(o) = -o**2 + 10*o + 26. Let a be s(12). Suppose 3*i - 309 = -3*c, 4*c - 289 = c + a*i. Let m = c + -94. What is the least common multiple of m and 2?
10
Let q = -10/280933 + -33540309817/3371196. Let i = -9943 - q. Calculate the common denominator of -71/18 and i.
36
Suppose -i - 506 = -5*p + 10045, 4*p - 4*i - 8444 = 0. Calculate the lowest common multiple of p and 2.
2110
Suppose -5*g - 16406 = x - g, 4*x + 65663 = -3*g. Let v = -393977/24 - x. Calculate the common denominator of 87/4 and v.
24
Let k = -14 - -12. Let j be 19 - 0/k - (-6 - -3). Suppose -6 = -2*f + j. Calculate the smallest common multiple of 4 and f.
28
Suppose 0 = 14*u - 2907 + 933. Let j = -121 + u. Calculate the lowest common multiple of 55 and j.
220
Let q(t) be the second derivative of t**5/20 - 8*t**4/3 + 55*t**3/3 + 33*t**2 + 355*t. What is the least common multiple of q(28) and (2/2 - 0) + 75?
380
Let j = 48 + -43. Suppose -5*b + 0*b + l = -33, j*l = -3*b + 3. What is the smallest common multiple of 20 and 4*(169/30 - b/45)?
220
Calculate the common denominator of 20/(-110) + (-10)/70 and -67/1617.
1617
Let i = 5/5629 + 21598433/45032. Let b = i - 479. Find the common denominator of b and 53/46.
184
Suppose -y + 66 = y. Let s = 88262 - 88256. What is the smallest common multiple of (-4)/22 - (-567)/y and s?
102
Suppose 0 = -c + 16 + 12. Let f = -130537 + 130569. Calculate the lowest common multiple of f and c.
224
Suppose -5*q + 1 = -4. Let p(c) = 2*c**2 - 22*c + 57. What is the smallest common multiple of (231/(-11))/(q + -2) and p(7)?
21
Let d be 3 + (-1 - -1 - 378). Let s = d + 464. What is the lowest common multiple of 4 and s?
356
Let i = -43231 - -4106982/95. Find the common denominator of 109/2240 and i.
42560
Let q = -284 - -409. Let w = q - 107. What is the common denominator of -67/12 and (-4540)/1260 + (-8)/w?
84
What is the common denominator of -19/22 and 6/261*3 - 14064/(-1511712)?
11946
Let p be 2/4*(-273849)/30. Let w = -4570 - p. Let h = 2119 + -12613/6. Find the common denominator of w and h.
60
Let s = -212076332/683 + 310507. Let w = 2/3413 - -44365/6826. Find the common denominator of s and w.
1366
Find the common denominator of 1977/(-398) + 24 + (-11 - 8) and 61/6.
1194
Let n be (12/(-36) + 0)/((-1)/(-32163)). Let o = n + 193031/18. Calculate the common denominator of o and 103/468.
468
Suppose 2*x + 43 + 165 = -4*z, -3*x + 238 = -5*z. Calculate the least common multiple of 1875/z*8/(-10) and 40.
120
Let n = -79348/273 + 3724/13. What is the common denominator of n and -149/138?
966
Let r(f) = -f**3 - 4*f**2 + 4*f + 7. Let h be r(-5). Let t = -70061/10 - -7013. Find the common denominator of t and ((h/(-3))/4)/((-19)/43).
190
Let b = 112323277/420 - 267436. Find the common denominator of 83/60 and b.
420
What is the lowest common multiple of 840 and 2*(-4)/14 + (-98332)/(-91)?
7560
Calculate the lowest common multiple of (-1)/(((-186)/(-46) - 4)/(-57 + 3)) and 552.
4968
Let v be -1 + -4 + 6180/(-87). Let q = -673423/8816 - v. What is the common denominator of 77/16 and q?
304
Let p be 24/(-15)*5/(-2). Find the common denominator of 19/18 and -95*p/(-32) + -2.
72
Let b = 71713/2252898 - -2/23967. Find the common denominator of -13/940 and b.
940
Calculate the common denominator of -55/12 and ((-5)/100)/((-144)/4020).
48
Let i(u) = -2*u**2 + 57 - 17*u**3 + 19*u**3 - u**3. Calculate the least common multiple of i(0) and 3.
57
Let h(y) be the second derivative of -2*y**3/3 + y**2 + 18*y. Let b(c) = c + 8. Let w be b(-9). Calculate the lowest common multiple of h(w) and 5.
30
Let i = 1867 - 1801. Calculate the smallest common multiple of 3 and i.
66
Suppose 3*x + x = 4. Find the common denominator of 14 + (11550/(-22) + 1)/44 and 15/(-18)*x*-23.
66
Suppose 5*p = -4*o - 49, -13 = -9*o + 10*o + 2*p. Let q(a) = -a**2 - 12*a + 12. Calculate the common denominator of 187/30 and q(o).
30
Suppose 5*q = -5*a + 940, 1471 = 7*a - 2*q + 191. What is the smallest c | {
"pile_set_name": "DM Mathematics"
} |
1)/((-15)/12)). Which is the fourth biggest value? (a) 1 (b) 96 (c) m (d) 2/3
c
Let u = 282 - 128. Let h = -467/3 + u. What is the third smallest value in -1, h, -2/3, 2/13?
-2/3
Let a be (-6)/(-9) - (-11 + 13). Let j = 659.023 + -659. What is the biggest value in a, j, -3?
j
Let s = 175/4 + -1607/36. Let k = s - -154/153. Let l = 829 + -826. Which is the smallest value? (a) l (b) -12 (c) k
b
Let x(s) = -s**3 + 3*s**2 + 2. Let n be x(3). Let p = -44303 + 310768/7. Let c = 93 - p. What is the biggest value in 0.2, c, n?
n
Let n = -12958 - -64791/5. What is the fourth biggest value in n, 0.3, 7/23, -2?
-2
Suppose -2*b = n + 8, -n - 11*b + 1 = -12*b. Let w = -20 + 22. What is the second biggest value in n, w, 7?
w
Let o be (-1)/2*12/615. Suppose 10*h + 13*h + 123 = -18*h. Which is the smallest value? (a) 3 (b) o (c) h
c
Let m = -1350 - -1350. Let w = -26.5 - -26. What is the fourth smallest value in -1, w, -3, m?
m
Let l = 94.2 + -18.2. Let q = l + -76.4. Suppose -5*k + 10 = -5*p, 2*p = -3*k + k - 8. Which is the fourth smallest value? (a) 0.2 (b) k (c) -2 (d) q
a
Let f = -35089 + 35090. Which is the third biggest value? (a) 31.41 (b) f (c) -0.2
c
Let x = -0.6577 - -0.6577. Which is the fifth biggest value? (a) 1/12 (b) 1/4 (c) -20/3 (d) 4 (e) x
c
Let k = 2239/862 + -42/431. What is the smallest value in -4, 0.59, k?
-4
Let k be (-63)/(-36)*544/7140. Let b = 6.6 - 7. Let l be (1/2)/((-2)/3). What is the fourth biggest value in 3, b, l, k?
l
Let f = -188 + -413. Let g = 600.9 + f. What is the fourth smallest value in g, -1, 1, 10?
10
Let w(z) = 10882*z + 261166. Let j be w(-24). Let m(s) = s**2 - 4*s + 4. Let l be m(3). Which is the smallest value? (a) -0.02 (b) l (c) j (d) 5
c
Let s = 0.125 + -0.525. Let k be -1 + (-65)/(-15) + -4. Which is the second biggest value? (a) -8 (b) s (c) 1 (d) k
b
Let h = 68 - 38. Let z = h - 54. Let s = 24.5 + z. What is the second smallest value in -4, s, 0?
0
Let m = -7449 - -37244/5. What is the third biggest value in 0.1, m, 1796?
m
Let h be (10/3)/(-2) + 2. Let n = -236.826 - -237. Let w = n - 2.174. Which is the third biggest value? (a) h (b) -1/3 (c) 0.5 (d) w
b
Let j = 24.512 + -284.512. Which is the third smallest value? (a) -3 (b) 1/2 (c) j
b
Let h be 2/(-8)*2*16. Let y(q) = q**2 + 5*q - 19. Let l be y(h). Let z = 0.17 - 0.07. Which is the third smallest value? (a) 1 (b) l (c) z
b
Let s = 60.7 - -3.3. Let n = s - 69. Which is the smallest value? (a) 1/17 (b) 4/7 (c) n (d) 2/13
c
Let j = -4 - -7. Let x be 3/((0 + 4)/8). Let i be x/8 + 385/(-588). Which is the smallest value? (a) i (b) j (c) 0.2
a
Let v(g) = 9*g**3 + 82*g**2 - 33*g - 119. Let p be v(-9). Which is the fifth biggest value? (a) p (b) -1/3 (c) 1/9 (d) -0.1 (e) 0.5
b
Suppose -5*w + 173 = -26*w + 26. Which is the third smallest value? (a) -5 (b) 24 (c) w
b
Let f = -5235.437 + 5238. Let j = -0.037 - f. Let v = -2.2 - j. What is the third smallest value in 0, v, 5/3?
5/3
Suppose -5*n + 24 = 4*g + 8, -n - g = -3. Let l = -178.65 - -0.65. Let i = l - -137. What is the third biggest value in n, i, -3?
i
Let k = 106.4231 + 0.5769. What is the fourth smallest value in k, 1, -0.1, -5?
k
Let x = 663.4 + -659.4. Let q = -0.009 - -5.009. Which is the third smallest value? (a) x (b) 3.8 (c) q
c
Let v = 7/27 - 13/27. Let r = 1771.5 - 1773. Let t be 1/2 - (-32)/(-48). Which is the smallest value? (a) r (b) v (c) t
a
Let g = -4805 + 4809. Let q = -0.04 + -0.26. Which is the second smallest value? (a) 5 (b) q (c) g
c
Let d(p) = 2*p**2 + 10*p - 34. Let x(i) = -2. Let o(l) = d(l) - 4*x(l). Let k be o(-7). Which is the third biggest value? (a) -1/8 (b) k (c) -113
c
Let j = 4.1 - 4. Let h = -0.56115 - 1.43885. Let o(x) = x**3 - 3*x**2 + 3*x - 4. Let k be o(3). Which is the third biggest value? (a) 6 (b) h (c) j (d) k
c
Suppose -2*h + 13 = 1. Let f be (-70)/8*(-2)/(-7). Which is the fourth biggest value? (a) h (b) 5 (c) 4/9 (d) f
d
Let o = 811/3 - 271. Let p = -1.6 - -4.6. Let q = -43/170 - 5/34. Which is the biggest value? (a) q (b) o (c) p (d) -2
c
Let p be (-3)/(-4)*(-5068)/(-63). Let w = p - 60. Let k = -11 - -13. Which is the smallest value? (a) w (b) -0.4 (c) k
b
Let z = -3.383 - -3.383. What is the smallest value in 2/9, z, -0.03?
-0.03
Let j = -188 - -187. Let z be (-26)/7 - 20/70 - -7. Which is the third smallest value? (a) z (b) 8/5 (c) j
a
Let a = -2.92 + -0.08. Let s = -7 - a. Let t = 2853 - 8561/3. What is the biggest value in 3, s, -1, t?
3
Let o = 12824 + -12944. What is the third smallest value in -4/3, -1, o?
-1
Suppose -79*w + 6579 = -88*w. Let z = -3656/5 - w. Which is the third smallest value? (a) z (b) 0.11 (c) -8 (d) -4
a
Let k be -473 + (-1)/5*-5. Let z = k - -1421/3. Which is the second biggest value? (a) -1 (b) -0.2 (c) 4 (d) z
d
Let j = -244 + 243.5. What is the third smallest value in -348, j, -1?
j
Let v = 0.4641 - -4.5359. Which is the fourth smallest value? (a) 2 (b) v (c) -94 (d) -1
b
Let i be (-2)/6 + ((-1596)/72 - -18). What is the biggest value in 3/2, -4/7, i, -0.4?
3/2
Suppose -8*m + m = 14. Let j(h) = 6*h**2 + 12*h + 4. Let v be j(m). Let p = -13/138 - -6/23. Which is the third biggest value? (a) 0.1 (b) p (c) -7 (d) v
a
Let o = 7 - 30. Let w be -11*(6 + 609/(-84)) - (14 + -1). What is the third biggest value in o, 0.4, w?
o
Let p = -17.26 - -21.26. What is the fourth biggest value in -0.3, -97, -0.5, p?
-97
Let f = 7.12 + -0.82. Let g = f - 7.16. Let q = g - -0.46. Which is the second smallest value? (a) 3 (b) q (c) 3/5
c
Let q(w) = -43*w - 1463. Let s be q(-34). Which is the third biggest value? (a) 3/7 (b) -0.4 (c) 3 (d) s
b
Let u = 0.1327 - -0.8673. Let d = -2.028 + 0.128. What is the second smallest value in u, d, -0.3, -2/7?
-0.3
Let r = -192.765 + -0.235. Let h = r + 188. Let q be (-475)/(-465) - (1 + 0). Which is the smallest value? (a) h (b) -4 (c) q
a
Let u = 57/28 + -279/140. Let t = u + -97/630. Let h = 38/9 - 155/36. What is the second biggest value in h, t, 0?
h
Suppose 4*h - 15 + 11 = 0. Suppose -2*i - 3 = -h. Let l = -14 - -13.9. What is the smallest value in -0.4, i, l?
i
Let m = 10/109 + 89/218. Let d be 2/(-8) - 26/(-40). What is the third biggest value in 1/11, -2, m, d?
1/11
Let l = -23920.219 - -23906. Let c = l + 0.219. What is the smallest value in 5, 1, c?
c
Let o be ((-540)/(-756))/(2/(-2))*(-2)/5. Which is the second biggest value? (a) 25 (b) -2 (c) o (d) -3
c
Suppose 5*m - 69 = 4*d, -46*d - 4*m = -41*d + 35. What is the biggest value in -11/8, d, -5?
-11/8
Suppose -133 - 57 = 2*p. Let q(h) = -297*h**2 + 3*h - 1. Let y be q(1). Let v be (-6)/(-2) - y/p. What is the third smallest value in -1, -0.3, v?
v
Let l = -18.61 - -16.61. Which is the second smallest value? (a) -3 (b) 3 (c) 0.07 (d) 2/17 (e) l
e
Suppose 114 = -35*i - 61. Which is the second smallest value? (a) -2.3 (b) -6 (c) i
c
Let q be ((702/(-22))/9 - 4) + 1*7. Which is the fourth smallest value? (a) 0.07 (b) -0.4 (c) -4/7 (d) q
a
Let y be 2/(-6) - (-4)/6. Let f(p) = -p**3 - 24*p**2 - 7*p - 37. Let k be f(-24). Let x = k - 143. Which is the smallest value? (a) x (b) y (c) 2/7
a
Let u = -608.277 + -2.223. Let p = u + 610. What is the biggest value in 2, p, -7/13?
2
Let g = 240.5 - 240.5. Let d = -5 + 12. Which is the second smallest value? (a) 1 (b) g (c) d
a
Let w be (-12)/5 + 9/(-15). Let a = -30 - -30.5. Let p(t) = -t**2 - 10*t - 11. Let f be p(-8). What is the second smallest value in a, w, f, -0.06?
-0.06
Let l = 3.1595 - 3.2385. Let k = 0.4 - -0.1. What is the third biggest value in l, 5, k?
l
Let z = -69 + 69. Let r = 1305 + -1300. What is the second biggest value in z, -3, r, -31?
z
Let x = 2061 + -2062.18. Which is the second smallest value? (a) x (b) -5 (c) -2
c
Suppose 0 = 3*u + 2*v - 16, -u + 38*v - 42*v = -2. Which is the second biggest value? (a) 1.1 (b) -0.5 (c) u (d) -5
a
Let t be (-8416)/52 - -5 - -1. Let c = t + 156. Let b = -0.4 - -9.4. What is the second smallest value in b, c, -3?
c
Let u = 4052.9 - 4053. What is the biggest value in -5, 3/8, u, 1/3, -9/4?
3/8
Let t = 154 + -199. Let d = -0.1 + -44.4. Let m = d - t. Which is the biggest value? (a) 0.2 (b) m (c) 2/17
b
Suppose 0 = - | {
"pile_set_name": "DM Mathematics"
} |
v - 96163. Is k composite?
True
Let c = 304 + 1730. Let t = c + -1053. Suppose -t = -3*h + i - 87, 3*h + 5*i = 912. Is h a prime number?
False
Let t(s) = -s + 4. Let y be t(-18). Let h(q) = 8*q**2 - 27*q - 27. Is h(y) prime?
True
Suppose o + 3455 = -2*y, -3*o = 3*y - 6*o + 5169. Let u be y/(-10) + 4/10. Suppose 49 - u = -4*l. Is l a prime number?
True
Let f(v) = 2134*v - 229. Is f(11) prime?
False
Let z be ((-5)/(45/(-6)) - 1)*51. Let b(y) = -y**3 - 14*y**2 + 10*y - 23. Is b(z) a prime number?
False
Let i(n) = -199*n**3 - 2*n**2 - n + 2. Let x be i(-2). Suppose q = 5*q + x. Is q/(-7) - (-8)/28 composite?
True
Is (-1)/(-4*(-5)/(-27740)) a prime number?
False
Let c(w) = -8*w + 5. Let r(o) = 9*o - 5. Let u(j) = 3*c(j) + 4*r(j). Let h be u(5). Suppose -h = -a - 4*a. Is a composite?
False
Let p(q) = 485*q - 6. Let i be p(4). Suppose -i = -10*b + 8*b. Is b composite?
False
Suppose 3*d - 7*d + 5306 = 2*x, -3*d - 2653 = -x. Is x composite?
True
Let j = 2716 - -916. Suppose -j + 9942 = 10*x. Is x a prime number?
True
Let q(p) = 6*p - 10. Let u be q(14). Let h = -39 + u. Is h a prime number?
False
Suppose -3*j - 5*q = -49, -5 = 3*j + q - 34. Is 1/8*2 - (-25622)/j a composite number?
False
Let v(z) = 3*z**2 + 2*z + 1. Let t be v(-1). Suppose 4*f + 4*l = t*f, l + 3 = 0. Is (-1719)/f*12/(-18) a composite number?
False
Let k = -51 + 22. Let z = k + 232. Is z prime?
False
Let f = -7 - -7. Suppose -4*t + t + 378 = f. Suppose -2*x = -3*c - t, 5*c - 208 = -3*x - x. Is x prime?
False
Is (-1 + (-4)/(-3))/((-17)/(-16473)) a composite number?
True
Let w(p) = -p**3 - p**2 - 3*p + 4. Let b be w(0). Suppose 1315 - 6060 = -5*a + b*r, -5*a + 4745 = 3*r. Is a composite?
True
Let l(i) = -43957*i - 519. Is l(-4) a prime number?
True
Let w be 7 + -2*(-12)/(-8). Suppose 4*j + w*d - 724 = 0, j - 77 = 2*d + 92. Is j prime?
False
Let d be (-53)/3 - (-3)/(-9). Let u be (9/(-2))/(d/120). Suppose -l = 2*l - u. Is l prime?
False
Suppose -2*h + 4 = -12. Let p = h - 5. Suppose 5*d = -x + 557, -4*d - p*x + 454 = 2*x. Is d composite?
True
Suppose 5*r + 207 = -973. Let l = r + 351. Is l a composite number?
True
Suppose 695 + 2645 = 4*r. Suppose 5*v - r = 2*u, -865 = -0*v - 5*v - 4*u. Is v composite?
True
Suppose -9*n = -23*n + 731122. Is n prime?
True
Let a = 14884 + -8499. Is a composite?
True
Suppose -48 = -4*c - 36. Let t be -2 - (-2 + (-1 - 0)). Is c/(-6)*-66*t composite?
True
Let r = -1502 + 2164. Is r composite?
True
Let n(q) = 703*q**2 + 19*q - 167. Is n(12) a prime number?
True
Let g(a) = -6*a**3 + 3*a**2 + 2*a + 3. Let l be g(-4). Let t = -4 + 8. Suppose -u + t*d + l = 0, -3*u + 1585 - 379 = 3*d. Is u a composite number?
True
Suppose -3*g + 6 + 0 = 0. Let s(z) = -z + 6. Let v be s(g). Suppose -94 + 492 = 2*r - 3*k, 3*r - v*k = 598. Is r a prime number?
False
Let l = -811 + 511. Suppose k + 1258 = 3*k. Let o = l + k. Is o prime?
False
Let r be (-2 - (-13419)/14)*(-1 - 1). Let s = -1246 - r. Is s a composite number?
True
Let i(v) = -v**3 + 8*v**2 - 8*v. Let t be i(7). Is ((-35)/4)/t*716 composite?
True
Let z = -27135 - -76390. Is z prime?
False
Is (-15634)/((-6)/2*(-22)/(-33)) a prime number?
True
Let b = 420 - 417. Let s be (-2)/((-2)/(-1))*-2. Suppose 89 = b*j - 2*j + s*d, 2*d = 2*j - 166. Is j a prime number?
False
Suppose 4*k + 2*s = 4860, 0 = -k - 5*s + 178 + 1046. Is k prime?
False
Let m be (-6)/(-9) + (0 - (-565)/3). Let d = m - 71. Is d prime?
False
Let v = -20 + -104. Let h(u) = 10*u**2 + 2*u - 5. Let r be h(2). Let g = r - v. Is g a composite number?
False
Suppose 29477 = -37*l + 38*l. Is l a prime number?
False
Let s = -4550 - -7479. Is s composite?
True
Suppose -2*k - 35 = -5*a - 121, k + 5*a = 73. Suppose -4*y + k = -7. Is y a prime number?
False
Let o(r) = 8*r**3 - 2*r + 1. Let s(y) = -y**3 - 9*y**2 + 3. Let b(d) = 10*d**3 + d**2. Let a be b(-1). Let f be s(a). Is o(f) composite?
False
Let o(j) = 31*j**2 - 5. Let u(x) = x**3 + 2*x**2 + 2. Let m be u(-2). Is o(m) a composite number?
True
Let s(d) = d**3 + d**2 + 1. Let y(w) = -78*w**3 + w**2 - 2*w - 3. Let r(g) = s(g) + y(g). Is r(-1) composite?
False
Let x(f) = 6702*f + 9. Is x(1) composite?
True
Suppose -3*m - 7*o + 9*o + 5837 = 0, 0 = -3*m - o + 5852. Is m a composite number?
False
Suppose 99*z - 30569 = 88*z. Is z a composite number?
True
Let l = -758 + -771. Let b = 1212 - l. Is b a composite number?
False
Let d(x) = -7*x + 2*x**3 + 17*x**2 - 3 - 3 - 19*x**2. Is d(7) composite?
True
Let j(k) = 4*k. Let y be j(12). Let v = 10 + y. Is v a prime number?
False
Suppose -38*s + 166880 - 11574 = 0. Is s a prime number?
False
Suppose 756 + 497 = 7*v. Let m = 288 - v. Is m a prime number?
True
Let w be -6*8/12*-3. Let c(m) = m**3 - 8*m**2 - 2*m - 5. Is c(w) composite?
False
Suppose u - 28 = 239. Suppose -376 = -3*q - 5*t, -u = -2*q - 3*t - 16. Is q composite?
False
Let m(w) = -306*w + 121. Is m(-7) a composite number?
True
Let s be ((-12)/6 + 0)*(28 + 0). Let a = s + 177. Is a composite?
True
Suppose 5*c - 16*f = -14*f + 74547, -3*c = -f - 44728. Is c a composite number?
True
Suppose 2*t = -4*t + 60. Is (4975/t)/((-5)/(-10)) a prime number?
False
Suppose 6*g = 2*g + 5*d + 69, 47 = 2*g - 5*d. Suppose 2*f - g = -7. Suppose 0 = 4*v - f*v - 178. Is v composite?
False
Let q = 5499 - -1262. Is q composite?
False
Is (-47920)/12*132/(-55) + 3 prime?
True
Let i(h) = 2669*h + 136. Is i(3) prime?
False
Let i = 12282 - 7279. Is i a prime number?
True
Let n(k) = k**3 - 8*k**2 - k + 8. Let s be n(8). Suppose -2*a + 9 - 1 = s. Suppose -a*y - 149 = -5*y. Is y a composite number?
False
Suppose -2*d = -d - 4*g - 3755, -4*d + 14978 = -2*g. Is d composite?
True
Let w = -20 - -23. Suppose h - 232 = w*x, -4*h + 682 = -h + 5*x. Suppose -4*g = -1887 - h. Is g a prime number?
False
Let k(n) = 13*n + n**2 + 2 + 0*n**2 + 6. Let y be k(-12). Is (-53)/y - 15/(-20) composite?
True
Let s(x) be the third derivative of 13*x**4/24 - 7*x**3/2 - 22*x**2. Is s(20) a prime number?
True
Let j be 6/(-10) - (-307800)/(-125). Let y = 778 - j. Is y composite?
True
Let v = -11 - -9. Is 5/v*(240/(-5) + 2) a prime number?
False
Suppose -23766 = 4*n - 8*n - 2*y, 3*n + y - 17822 = 0. Is n a composite number?
False
Suppose -11*c - 21*c + 358816 = 0. Is c composite?
False
Let c = -15 - -17. Suppose v = -3*a + 166, 3*v - c*v + 119 = 2*a. Is a a composite number?
True
Let z = 15 - 6. Let y = 13 - z. Suppose -q = -y*m - 191, -5*q + m + 1050 = -0*q. Is q a composite number?
False
Let g(d) = 28*d**3 + d - 1. Suppose 4*h = -2*l - 14, -3*l + 2*l - 3 = h. Let u be g(l). Is (u/(-6))/(3/(-9)) a composite number?
True
Let r be 2163/9 - (2 - 24/9). Let f = r + 66. Is f a composite number?
False
Suppose 0 = 4*x - 12, 5*m - 3*x = 2 + 4. Suppose m*u - 2 = 4. Is 141 - (-2*u + 2) composite?
True
Let p(i) = 2*i - 6*i - 1 - 15*i**2 - i**3 + 14*i**2 - 4. Is p(-7) a composite number?
False
Suppose -14 = -b - 12, 5*b = d - 3933. Is d a composite number?
False
Suppose 5*f + 2*u + 28805 = 0, 4*f - 5*u = -16912 - 6132. Let i = -3288 - f. Is i prime?
True
Suppose l - 30 = -5*p + 6*l, -2*p - 16 = 5*l. Suppose 4*q - 2*i - 459 = 3*i, -p*q + 228 = -4*i. Suppose 452 + q = 4*c. Is c a composite number?
True
Let q = -42 + 49. Let b(f) = 2*f**2 - 7*f + 10. Is b(q) a composite number?
False
Suppose 3*x - 796 - 2186 = 0. Let z = x - 557. Is z prime?
False
Let x(i) = 2*i + 23. Let r be x(-11). Let j(t) be the first derivative of 21*t**4 + t**3/3 - t**2/2 + t + 2. Is j(r) prime?
False
Let d(p) = -13*p + 31*p + 40*p - 5*p. Let w(o) = 2596*o. Let u(b) = -295*d(b) + 6*w(b). Is u(-1) composite?
False
Let i(l) = l**2 - 10*l - 12. Let f be i(11). Is (f*(2 - -50))/(-2) prime?
False
Let l(h) = 163*h**2 + h + 1. Let k(n) = -n**2 - 8*n + 23. Let c be k(-10). Is l(c) a prime number?
True
Let c(n) be the second derivative of -n**3/3 + 7*n**2/2 + 84*n. Let z(p) = 7*p + 1. Let f be z(-1). Is c(f) a prime number?
True
Let b = -60 + 85. Let d = 299 - b. Is d prime?
False
Let s(h) be the second derivative of h**5/20 + 29*h**4/12 + 14*h**3/3 + 43*h**2/2 - 27*h. Is s(-28) a composite number?
False
Let j(r) = -45*r + 13. Let i(q) = 46*q - 14. Let a(z) = 4*i(z) + 3*j(z). Is a(4) a composite number?
False
Let c(t) be the second derivative of 4*t - 2/3*t**3 - 1/2*t**2 + 0 + 1/12*t**4. Is c(-12) prime?
True
Let j(r) = 4*r - 3 | {
"pile_set_name": "DM Mathematics"
} |
+ 618. Let u = z + -930. Let n = 2279/2 + u. What is the common denominator of n and 29/2?
2
Let w = 3 + -1. Let u be 2/(-10) - (-294)/(-30). Find the common denominator of (w/u)/(6/(-705)) and 151/18.
18
Let k = -1956 - -46913/24. What is the common denominator of 76/21 and k?
168
Let m = 7 + -5. Calculate the smallest common multiple of 2 and m.
2
Let i = -215/12 - 59/12. What is the common denominator of i and 1312/(-80)*5/(-4)?
6
Let v = 36 + -9. What is the smallest common multiple of 27 and v?
27
Let g = -2/541 - 50305/2164. What is the common denominator of -68/3 and g?
12
What is the common denominator of 49/11 and (-4 - (-545)/30)*(-12)/(-15)?
33
Let c = 54 - 36. Suppose -3*w + c = -w. Calculate the smallest common multiple of 1 and w.
9
Suppose 0 = 46*d - 44*d - 66. Calculate the least common multiple of 12 and d.
132
Let x = 0 + 2. Suppose 42*v = 45*v - 21. What is the least common multiple of v and x?
14
Let k = -28 + 7. Let i = -3953/90 + 231/5. What is the common denominator of 7/k - (-434)/24 and i?
36
Suppose -o + q = -19 - 10, -3*q = -o + 27. What is the common denominator of 264/o - (0 + -1) and 1 + 0 + 29/(-8)?
40
Let h(f) = f**2 - 6*f + 6. Calculate the lowest common multiple of 4 and h(6).
12
Find the common denominator of (0 - 4) + (-763)/(-42) and 14/3.
6
Let p = -24123/91 + 1836/13. Let r be 10/(7*8/(-555)). Let q = r - p. Find the common denominator of -133/6 and q.
12
Let f be (175/147)/((-4)/(-24714)). Let b = f + -7348. What is the common denominator of -91/2 and b?
14
Calculate the common denominator of 3 + 1 - (-29)/15 and 22/21.
105
Suppose 3*u + 1357 = 283. Let b = 952/3 + -1028/3. Find the common denominator of u/(-40) - (-3)/(-4) and b.
15
Let y be 22839*(0 - 1/964). Let h = -14/241 + y. Calculate the common denominator of h and ((-297)/(-2))/(-4 - (-3 + -16)).
20
Let q = 2844 - 34211/12. Let j = -221/4 - -55. Find the common denominator of j and q.
12
What is the common denominator of ((-3)/(-4))/(24/752) and -31/11?
22
Let u = -3 - 9. Calculate the common denominator of (-131)/u - (-3 + 2) and 83/14.
84
Let k = -19 + 23. Calculate the least common multiple of 13 and 1/(((-1)/k)/(-1)).
52
Calculate the common denominator of -89/6 and (-430)/96 + (-3 - (-76)/24).
48
Let p = -237 + 1670/7. Calculate the common denominator of -113/18 and p.
126
Suppose -18657 = -2*i + 19003. Let j = i + -452041/24. What is the common denominator of 113/10 and j?
120
Let w(r) = r**2 + 4*r + 1. Let c = -21 + 27. What is the lowest common multiple of w(-4) and c?
6
Let g = 586685/266 - 27956/19. Let r = 742 - g. Let h = 567 - 1113/2. What is the common denominator of h and r?
14
What is the lowest common multiple of 4 and 37 - (27/(-36) - 1/4)?
76
Let u = -7 - -6. Calculate the lowest common multiple of (-3)/4*-2*8 and (-18)/(-3)*u*-1.
12
Let v(w) = 21*w**3 - w**2 + w - 1. What is the common denominator of -50/3 and v(1)?
3
Let g(q) be the first derivative of q**2/2 + 3*q - 6. What is the smallest common multiple of g(3) and 18?
18
Let u = 7327 - 58529/8. Let c = 5220 + -2887. Let g = c - 46687/20. What is the common denominator of g and u?
40
Suppose -5*o - 28 = -y, 6*y - 4*y = -o + 56. Let z = -12 + y. Calculate the lowest common multiple of 54 and z.
432
Suppose 5*w + 8 = -12. Calculate the lowest common multiple of 2 and 4/w + 0 - -9.
8
Let u = -32 + 48. Suppose -g = -3*i + 41 + 7, 5*g = i - 170. Let x = 55 + g. Calculate the least common multiple of u and x.
176
Let x(r) = r - 4. Let n be x(7). Suppose -n*k - w = -11, -3*k - 4 = 2*w - 4*w. Suppose k*p = -2*p + 40. Calculate the least common multiple of p and 8.
40
Suppose 6 = -2*h - 4*i, 12 = -4*h + 4*i - 0*i. Suppose 0 = -5*s - 2*z + 62 - 4, -2*s = 4*z - 36. What is the least common multiple of s and (-2 - (0 + h))/1?
10
Suppose -5 = -2*x - 3*x. Let l(a) = 14*a. Let j be l(x). Find the common denominator of -51/4 and 18/(-14)*j/40.
20
Let j = 14 - 3. Let l(c) = c**3 - 6*c**2 + 7*c - 5. Let p(s) = s**2 - 8*s - 4. Let q be p(9). Calculate the least common multiple of l(q) and j.
55
Suppose 0 = 4*l - l + 3*b - 33, -2*b - 58 = -3*l. What is the lowest common multiple of 2 and l?
16
Let q = -9 - -95. Suppose -4*m + 2*j + 78 = 0, -3*m + 0*m = 4*j - q. Suppose -2 = 5*u - m. What is the least common multiple of u and 7?
28
Find the common denominator of 1/2*(-79)/(-2) and -83/28.
28
Let h = -1/4 - 57/4. What is the common denominator of -3 - 74/3*(-6)/26 and h?
26
Suppose -131 = -5*y + 4*u - 33, 78 = 3*y + 4*u. Suppose -2*w + 26 + y = 0. Find the common denominator of -49/22 and 1/1 + (-146)/w.
132
Let d = -10 + 17. Calculate the smallest common multiple of d and (-12)/(-2) + 8/(-8).
35
Suppose -4*z = a + 4*a - 175, 0 = 5*z - 2*a - 194. Let l be 91144/(-292)*(-1)/z. Let v = l + -1/292. Find the common denominator of v and 15/4.
20
Let m be 61251/122526 + 2/(-4). Let w = 823651/40842 + m. Let o = 7393 - 103595/14. Calculate the common denominator of o and w.
42
Suppose -u + 20 + 0 = 0. Let q(m) = m**2 + 2. Calculate the smallest common multiple of q(-4) and u.
180
Suppose -4*o + 6 = -o. Let i(v) = v**2 + v + 2. Let u(h) = -h**3 - 7*h**2 + 8*h. Let y be u(-8). Calculate the lowest common multiple of i(y) and o.
2
Let i be (-12)/(-4) + 0 - 5. Find the common denominator of i/2 - (-194)/12 and 54/88 + 1/(-4).
66
Suppose 6*m - 8 = 2*z + m, 3*m - 7 = -z. Calculate the smallest common multiple of z and 4.
4
Let a = -39 + 57. Calculate the smallest common multiple of a and 46.
414
Let z(v) = v**3 - v**2 + 1. Let c be z(0). What is the common denominator of 157/36*2 - c and -9/14?
126
Let n = 2143/2 + -1051. What is the common denominator of ((-2)/(-6))/(3/183) and n?
6
Let z = 600 + -1239/2. Find the common denominator of z and ((-36)/(-20))/((-12)/(-75)).
4
Let z be (-2)/(-10)*9615/(-18). Let b = z - -338/3. What is the common denominator of (-11)/(-33) + 23/(-6) and b?
6
Suppose -2*i = -3*i + 30. Suppose 6*f = f + i. Calculate the lowest common multiple of f and 6.
6
Let q = 10 + -5. What is the smallest common multiple of q + 0/((-4)/2) and 9?
45
Let z(i) = -20*i - 2. Calculate the least common multiple of z(-1) and 58.
522
Let r = 78 - 56. Calculate the lowest common multiple of r and 22.
22
Suppose -c = c - 32. What is the smallest common multiple of (-25)/20*(-7 + -1) and c?
80
Let u(p) = -4*p**3 - p**2 - p. Let k be u(-1). Suppose -k*z + 25 - 5 = 0. What is the lowest common multiple of 1 and z?
5
Let i = 2813/990 + -38/165. Let z = -51/20 - -1/20. What is the common denominator of i and z?
18
Suppose o - 3 = -0*o. Suppose -22 = -d - 0*d. Calculate the least common multiple of -2 - (-3)/(o/22) and d.
220
Let l(u) = -u**3 + 4*u**2 + 5*u + 3. Let a be l(5). Suppose 0 = -a*x - 2 - 4. Find the common denominator of 6/4*x/(-6) and 61/14.
14
Let w = -3431/1220 + 93/122. What is the common denominator of (5/18)/((-3)/(-117)) and w?
60
Let q(y) = -y - 8. Let c be q(-7). Calculate the least common multiple of 4 and (18/10)/(c/(-5)).
36
Let p = 23/36 - 19/4. Find the common denominator of 83/22 and p.
198
Suppose 0 = -g + 6*g - 2*w, 0 = -5*g + 4*w. Suppose 2*a - 26 + 8 = g. What is the smallest common multiple of a and 6?
18
Let k = 7 + 35. Calculate the least common multiple of k and 10.
210
Suppose z - 3*z - 5*l = -12, 0 = 2*l. Calculate the least common multiple of (-2)/(-2)*(0 - -18) and z.
18
Let w be (-2)/2 + 135718/(-472). Let s = -1153/4 - w. Let k = s - 2353/590. What is the common denominator of k and -55/14?
70
Suppose 0*v + 2*v - 64 = -4*s, s + 5*v - 25 = 0. Calculate the lowest common multiple of s/2 + 1/2 and 1 + 2*33/6.
24
Calculate the common denominator of ((-1)/(-1))/((-3)/13) and 29/9.
9
Let g(t) = t**3 + 10*t**2 + 9*t + 10. Calculate the least common multiple of g(-9) and 8.
40
Let f = 2/17 - 91/51. Calculate the common denominator of f and 20/9.
9
Find the common denominator of -14/25 and (-9)/15*1*119/77.
275
Let m = -16 + 21. Calculate the least common multiple of 3 + -1 + -1 - -7 and m.
40
Let s(a) = -4*a + 5. Let u be s(2). Let b = u - -14. Calculate the lowest common multiple of b and 8.
88
Suppose 0 = -z - 0*z - 1. Calculate the common denominator of 35/3 and z*17*1/11.
33
Calculate the common denominator of 43/9 and ((-21)/(-13) + -1)*15/4.
117
Suppose 2*d - 31 | {
"pile_set_name": "DM Mathematics"
} |
6 = 0. Give f(p).
136
Let k(n) = 56*n + 235. Let d(h) = -13*h - 60. Let m(q) = -9*d(q) - 2*k(q). What is m(-12)?
10
Let k(p) be the third derivative of -p**6/120 + p**5/10 - p**4/24 - p**3/3 + 76*p**2 + p + 13. Let g be 7 - (-2)/(4/(-2)). What is k(g)?
-8
Let u = 1 - 2. Suppose -3*a + 249 = 6*m - 3*m, 2*a + 5*m = 154. Let r(i) = -a + 5*i - 93 - 92 + 361 - 88. Calculate r(u).
-4
Let o(v) be the third derivative of -v**6/60 - v**5/10 + v**4/3 - 2*v**3/3 + v**2 - 40*v + 1. Determine o(-4).
-4
Let l(g) = -5*g**3 + 4*g**2 + 6*g - 15. Let n(s) = -49*s**3 + 39*s**2 + 59*s - 148. Let r(b) = 59*l(b) - 6*n(b). Let t = 5 + -2. What is r(t)?
-6
Let x(b) = -2*b**2 + 90*b + 498. Let u be x(50). Let g(a) = 4*a**2 + a. What is g(u)?
14
Suppose 3*k - w - 4 - 2 = 0, 2*k = -w + 4. Suppose 0 = -4*r - 5 - 7, k*m + r = 5. Let d(h) = -18*h**3 + h + 846*h**2 - 844*h**2 - m*h**3. Determine d(-1).
23
Let r be 60/40*(-44)/(-6). Suppose -15*c - 156 = -r*c. Let k = c - -34. Let p(w) = w**3 + 4*w**2 - 2*w - 1. Calculate p(k).
-16
Let j(h) = 34*h**2 - 2414*h - 5. Let t be j(71). Let c(m) = -m**2 - 13*m - 39. Determine c(t).
1
Let n(i) = -i**3 + 7*i**2 - 9*i - 1. Let u be n(3). Suppose 2*j + 24 - u = 0. Let d(o) = -3*o - 6*o - o**2 + 5 + o. Give d(j).
5
Let b(y) = -2*y**2 - 12*y - 6. Let p = 406 - 396. Suppose -5*m + p = n, 7*m - 4*m - 29 = 4*n. Determine b(n).
4
Let d(m) = m**3 + 0*m**2 + 2*m - 81*m**2 + 41*m**2 + 123 + 41*m**2. Determine d(0).
123
Let y(h) = -17*h + 4 + 17*h + h**2 + 0*h**2. Let a be (6/(-4))/(-10 + (-332)/(-32)). Determine y(a).
20
Let b(u) be the first derivative of -16 + 5/2*u**2 - 4*u. Give b(9).
41
Let x(f) = f**3 - 8*f**2 - 15*f - 19. Suppose 19 = 7*y - 51. What is x(y)?
31
Let m be ((2 + -1)*3)/1. Let z(o) = 2*o**2 - 1637*o + 1. Let u(x) = x**2 - 728*x. Let i(g) = 9*u(g) - 4*z(g). What is i(m)?
-7
Let f be (-5 + 56/(-64)*-4)*(7 - 5). Let q(j) = -j**3 - 4*j**2 - 8*j - 4. Calculate q(f).
11
Suppose 17*t = 12*t + 25. Let m(n) = 5*n**2 - 2*n - t*n**2 - 4*n**2 + 2 + 3*n**2. Suppose -10 = -x - 4*x. Calculate m(x).
-6
Let c(t) be the first derivative of t**7/840 + t**6/60 + t**4/4 + 2*t**3/3 + 6*t - 87. Let n(b) be the third derivative of c(b). Give n(-6).
6
Let r = -4289 + 4289. Let w(v) = -10*v. What is w(r)?
0
Let o(l) = -l**3 - 8*l**2 - 8*l - 6. Suppose -32*n - 35 + 860 = -307*n. Calculate o(n).
-27
Let h(c) be the first derivative of -c**6/180 + c**5/20 - c**4/24 + 16*c**3 + 86. Let s(i) be the third derivative of h(i). What is s(4)?
-9
Let q(n) = n**3 + 8*n**2 - 6*n - 48. Let x be q(-8). Let d(k) be the third derivative of -1/3*k**3 + 0 - 1/15*k**5 + x*k + 26*k**2 - 1/6*k**4. Calculate d(-2).
-10
Let j(c) be the third derivative of -c**5/30 - c**4/6 + c**3/6 + 3*c**2. Let t be (156/(-78))/(4/6). Give j(t).
-5
Let c(p) = -p**3 + 63*p**2 + 341*p - 44. Let o be c(68). Let m(a) = -a**2 + 24*a - 3. What is m(o)?
-3
Let m(f) = 3*f**2 + 6*f + 4. Let v be m(-3). Let j(z) = 638 - 3*z - 640 + v*z. Give j(3).
28
Let x(o) = o - 9. Suppose -g + 5 = -3*w + 1, -4*g = -2*w - 16. Let t be w/((-7)/21*3). Calculate x(t).
-9
Let z = -16393 + 16386. Let r(i) = -i**3 - 7*i**2 - 4*i - 12. Determine r(z).
16
Suppose 605 = 7*j + 598. Let g be ((-6)/18)/j*-9. Let x(u) = 10*u - 6. What is x(g)?
24
Let v = 4815 + -4821. Let b(a) = 5*a - 21. What is b(v)?
-51
Let q(a) = -15*a**2 + 9*a**2 - 25*a - 15 + a**3 + 29*a**2 - 18. Give q(-24).
-9
Suppose -2*z + 7 = -4*x - 15, 0 = -2*x + 3*z - 9. Let m(j) = -2*j**2 + 63. Calculate m(x).
-9
Let y(d) = d**2 - 36906*d + 5 + 0*d**2 - d**3 + 36899*d. Give y(2).
-13
Let m = -383878 + 383880. Let h(b) be the second derivative of -1/12*b**4 + b + 1/2*b**2 + 0 + 1/6*b**3. What is h(m)?
-1
Let v be (-2)/((-12)/(-9)*4/24). Let n be (8/(-12))/((-21)/v - 2). Let t(m) = -76 + 37 - 2*m + 2*m**2 + 40 - 4*m**2. What is t(n)?
-3
Let t(u) = 12*u + 28. Let m be -5*(5/(-10)*4 + 1). Let o(s) = -4*s - 9. Let a(l) = m*t(l) + 16*o(l). Give a(-3).
8
Suppose -a + 2*t + 75 - 76 = 0, 5*t + 10 = 0. Let m(b) = 0 + 2 + 2*b + 2. Determine m(a).
-6
Let m(s) = 2420*s + 2263*s + 209 - 4726*s. What is m(5)?
-6
Let j(m) = 73*m - 428. Suppose 5*d = -3*x + 54, -17*d + 18*d = 4*x - 26. Determine j(d).
10
Suppose 5 = -2*h - 3. Let p(f) = -5*f + 47. Let d be p(8). Let b(x) = -4 - d*x - 7*x**2 + 13*x**2 - 8*x**2. Give b(h).
-8
Let p(h) = -14*h - 20*h - 21*h + 16*h - 8*h**2 + 2 + 38*h. What is p(1)?
-7
Suppose -3*t - 2*k = -2460, -4*t - 4*k + 3275 = -3*k. Let l = t - 822. Let u(j) = -4*j - 7. What is u(l)?
9
Let c(z) = -439*z - 433. Let h be c(-1). Let l(q) = q**2 - 6*q + 9. Let o(m) = -m**2 + 6*m - 10. Let g(k) = -3*l(k) - 2*o(k). Give g(h).
-7
Let u(q) = 7*q**3 - q**2 - 9*q - 14. Let i be u(-3). Let h = i + 178. Let k(z) = -z**3 - 8*z**2 - 10*z + 3. Give k(h).
24
Let r(d) be the third derivative of 47*d**5/60 + 5*d**4/24 - d**3/2 + 3*d**2 - 2*d + 1382. What is r(1)?
49
Let s be (-9 + -4)*(2 - 3). Let z(c) = -c - 3. Let y be z(5). Let g = s + y. Let j(t) = 3*t - 5. Determine j(g).
10
Let a(n) be the third derivative of 15*n**2 + 1/60*n**5 + 0 - 5/24*n**4 + 2*n - n**3. Determine a(6).
0
Let r(z) be the third derivative of -z**6/5 - z**5/30 + z**3/6 - 3*z**2 + 212*z. Calculate r(-1).
23
Suppose 0 = 3*r - 9, 0*v = -v + 2*r - 3. Suppose -4*b - v*n = -b + 9, -2*b + 24 = -4*n. Let j(q) = 165*q - q**b + 0*q**2 - 173*q - 4. Determine j(-8).
-4
Let h be -2 + (-7)/28*-36. Let r(b) = -b + 12. Give r(h).
5
Suppose -5*j = l - 9, 20*j + 13 = 24*j - 5*l. Let q(u) = 7*u + 72*u**2 - 7 - 144*u**j + 71*u**2. Calculate q(5).
3
Let c(t) be the first derivative of -4*t**2 + 71*t - 3062. What is c(6)?
23
Let i(y) be the third derivative of -y**5/30 + 7*y**4/24 + 13*y**3/6 + y**2 + 2*y + 337. Calculate i(5).
-2
Let y(f) = 169*f - 209. Let t be y(6). Let h(q) = 804 - 7*q - 40*q - t. Calculate h(-1).
46
Let x(d) = -d**3 + 17*d**2 + 37*d + 27. Let z = 641 - 622. What is x(z)?
8
Let q = 121 + -224. Let r = q - -103. Let h(b) = -b + 3. Calculate h(r).
3
Suppose 3*d - 5*r + 7 = -3, 0 = -3*d + 2*r - 4. Let u = 144 + -107. Let y(z) = -z - 38*z**2 + u*z**2 - 5 - 4 + 4. Give y(d).
-5
Let s(y) = y**2 + y - 1. Let i = 1 - 0. Let p be s(i). Let c(z) be the first derivative of -8*z**2 - 838. What is c(p)?
-16
Let b(x) = x**3 - 111*x + 341*x - 115*x + 2 - 113*x. Let c = 3 + -2. Let l(h) = h**2 - 1. Let m(v) = c*b(v) + 4*l(v). Calculate m(-3).
1
Let m(p) = -p**3 + 5*p**2. Let s(q) = -5*q**3 + 36*q**2 + 4*q - 2. Let w(c) = -6*m(c) + s(c). Let z = -8 + 10. Suppose -z*o - 5 = -o. Give w(o).
3
Let n(t) = 2*t**2 + 2*t. Suppose 86*q + 109 = 23. Calculate n(q).
0
Let p be 6/(-12)*(-15 - -3). Let n(t) = 8*t - 9. Let a(u) = 3*u - 3. Suppose 0 = 6*r + 17 - 41. Let l(q) = r*n(q) - 11*a(q). What is l(p)?
-9
Let h(m) = -8*m - 60. Let x(v) = -3*v - 27. Let q(o) = -2*h(o) + 5*x(o). Calculate q(8).
-7
Let t = -2 + 4. Let b(x) = 10*x - 12*x + x**2 + 12*x + 5 - t*x. Determine b(-7).
-2
Let y(a) be the third derivative of a**5/30 - a**4/6 - 7*a**3/6 + 2*a**2 - 111. Calculate y(3).
-1
Let s = 3844 - 3842. Let p(h) = 3*h**2 + 5*h - 13. Determine p(s).
9
Let z(f) = 271*f + 2709. Let m be z(-10). Let w(u) be the first derivative of 19*u**3/3 - u**2/2 - u - 1. Give w(m).
19
Let j(h) = 4*h + 77. Let z = -3508 + 3485. What is j(z)?
-15
Let d(s) = s**2 + 5*s - 3. Suppose -18 = -3*o - 18. Let f(n) = -n**3 - n**2 - 3*n + 60. Let m be f(o). Suppose -4*x + 48 = m. Determine d(x).
-9
Let b(k) be the second derivative of -k**5/20 + k**3/2 + 2*k**2 + 2*k + 240. Let z = 1 - 4. Give b(z).
22
Let w(b) = 12 - b + 2*b**2 + 3*b - 4*b**2 - 13. Let h be (-400)/(-180) + (8/(-18))/2. Calculate w(h).
-5
Let p(k) = -k**3 - 3*k**2 + k + 1. Let t(i) = 2*i**2 - 4*i + 1. Let v be t(3). Let w(d) = 2*d - 4*d - 25 - 6*d + v*d. Let s be w(-22). Calculate p(s).
-2
Let d = 1986 + -1986. Let i(w) be the first derivative of -w**7/840 - w**6/360 + 5*w**4/24 - w**3 - 5. Let v(j) be the third derivative of i(j). What is v(d)?
5
Let b(i) = -6*i - 7. Let h(q) = -5*q + 7. Let t(g) = 2*g. Let s(r) = -h(r) - 4*t(r). Let a(v) = 2*b(v) - 3*s(v). Calculate a(-6).
25
Let i(p) = -4*p**2 + 9*p**2 + 259738 + 2*p - 259735. Let u be (-2)/11 - (-48)/22. Let t(h) = 26*h**2 + 10*h + 16. Let z(a) = u*t(a) - 11*i(a). Give z(-2).
-9
Let d(y) be the second derivative of y**6/120 - y**5/60 - y**4 | {
"pile_set_name": "DM Mathematics"
} |
for k.
-4
Let l = -6 + 16. Suppose -25 = -5*d - l. Solve 2*g - 6 + 0 = -2*m, 5*g - 15 = -d*m for m.
0
Let d = 6 - 3. Suppose 2*y = d*l - 6*l - 10, -4*l = 3*y + 15. Solve 5*t - 2*q = 17, l = 2*t - t - 3*q + 7 for t.
5
Suppose -11*z = -6*z + 60. Let p be 9/z - (-92)/16. Solve 3*s = -2*c + 9, -2*c - p*s + 15 = 2*c for c.
0
Let s be 4/(-6) - (-34)/6. Suppose -s*m + 6 - 1 = -z, -4*z = -4*m - 12. Solve -4*w - w = -l + 5, -m*w = -2*l + 2 for w.
-1
Let f be 0 + 3/(-9)*-3. Let y be -2 + f/((-1)/(-4)). Solve -1 = -3*z - y*x + 18, -5*z + 29 = 2*x for z.
5
Let g = 83 - 80. Solve 5*u = -4*h + g*u - 2, -u - 3 = 3*h for h.
-2
Let j(n) = -n**3 + 5*n**2 - 3*n + 4. Let s be j(4). Suppose -3*w = -s*w. Let p = 2 + w. Solve -p*t - 4*r = -2*r + 12, 2 = -3*t + 5*r for t.
-4
Suppose -2*f + 6 = 5*t, -3*t = 5*f + 2*t - 15. Let p(h) = h - 5. Let x be p(7). Solve -2*o - 14 = -x*v, 5*o - 2*o - 3 = -f*v for v.
4
Suppose 0 = o + 2*o. Suppose 26 + 8 = 5*j - k, 4*j - 4*k - 24 = o. Solve -3*s = -4*x - j + 3, -12 = 2*s + x for s.
-4
Let m be (-3 + -1 + 24)/1. Solve -4*s - 4*p = -m, 4*s - 20 + 0 = 2*p for s.
5
Let m be 6 - 17/6 - 2/12. Solve 4*a + m*z = -z, 0 = -2*z + 6 for a.
-3
Suppose -z - 135 = 4*z. Let s = -24 - z. Solve x + 10 = -s*f, 9 = -3*x + f - 1 for x.
-4
Suppose 5*p - 20 = -6*x + x, 0 = 5*x - p - 26. Solve x*f - 20 = -t, -t = 2*f - 5 - 0 for t.
-5
Let z(i) = -i**2 + 13*i + 4. Let q be z(13). Solve x + 5*d + 2 + 15 = 0, 0 = 3*x + q*d + 18 for x.
-2
Let l be -2*3*(-1)/3. Suppose -y = l*y - 6. Suppose 38 = 3*m + y. Solve -2*z - m = 2*j, -2 = 3*j - 4*z - 19 for j.
-1
Suppose -4*r = 4*k - 3*k - 17, -30 = -5*r - 3*k. Solve r*a - 21 = -0*a - 5*h, 3*a = -4*h + 18 for a.
2
Let j be (-18)/(-4) + 5/(-10). Solve 3*b - 12 = j*g, -g + 7*b - 3 = 2*b for g.
-3
Suppose g = -0*g + 2. Suppose -2 = -g*d + 2*s, -s + 1 = 5*d - 2*s. Suppose -5*v + 5*c = -4 - 21, -c - 5 = d. Solve -1 = 3*z - j, v*z + 8 = -2*z - 3*j for z.
-1
Suppose 3*s + 13 = -g, -4*g - 4*s = 14 - 2. Let q be 4 + (-1 - g - -1). Solve -1 = -o - 2*x, 2*o - x - 16 = q*x for o.
5
Suppose 5*v = 4*v + 29. Solve 3*d = 5*u - v, 3*u - 6*u + 15 = -d for u.
4
Let c be 19 + -16 - (0 - -1). Solve -4 = 4*b - 3*q - 2, 0 = -c*b + 4*q - 6 for b.
1
Let z be (-2)/6 - (-4)/(-6). Let n = z + 1. Suppose -3*q + t + 11 = -n, 2*t = 3*q - 10. Solve 0 = 2*m - q, 0 = 4*f - m + 2 for f.
0
Let v be (-4 + 27/6)*0. Solve -2*m - m + 3*o + 9 = 0, o + 4 = v for m.
-1
Suppose 0 = -2*u - 2*a + 18, 3*a + 8 = -7. Solve -3*t - 5*r = -0*r + 16, u = -5*t - 2*r for t.
-2
Suppose -j = 4*m - 20, 4 = -4*m + 13*j - 8*j. Solve -d + 3*w + m = 2, 2*d + 5 = -3*w for d.
-1
Let h(s) = 4*s - 5. Let k be h(2). Solve 0 = k*i - 2*d + 2 - 0, -4*i - d = 10 for i.
-2
Suppose 2*t + 2*t - 12 = 0. Suppose 3*z = 3*v + t, -5*v + 40 = 4*z - 0*z. Solve 5*q - 6*a - 15 = -a, -z*a = q + 21 for q.
-1
Let k be (-1)/2 + 2/4. Let s(h) = 3 - 5 + h + 2 + 3. Let j be s(k). Solve 0*c + 2*c + t - 3 = 0, 2*t + j = -c for c.
3
Suppose -j - 4 = 1. Let k be (-6)/(j/(30/9)). Let c(z) = 5*z**2 + 2*z + 1. Let t be c(-1). Solve 0 = 4*d + d, t = k*p - 5*d for p.
1
Suppose -2*g - 2 = -6. Suppose -g*s - 2*s + 8 = 0. Suppose 25 = -5*h + 65. Solve -q - 3*t - h = 0, -5 = 2*q - q + s*t for q.
1
Let x(k) = -k**2 + 9*k - 5. Let s be x(8). Suppose -4*j - 20 = -4*w, -2 = -s*w - 5*j - 27. Solve -2*f = -0*z - 2*z + 4, -z + 3 = w for f.
1
Suppose 0 = -2*v + 11 - 3. Suppose 2*u = -10, 0*d + v*u = d - 22. Solve -2*o - d*l - 18 = 2*o, l = 2*o - 1 for o.
-2
Let g(v) = -11*v**3 - v + 1. Let f be g(1). Let j = -6 - 9. Let y = f - j. Solve 0*z + y*z + u + 18 = 0, -5*z = 3*u + 19 for z.
-5
Suppose 3*o + 5*f = 32, o = -5*f + 24 - 0. Suppose o - 10 = -3*m. Solve -5*k = 5*s + 50, -m*k + 15 = -0*k - 5*s for k.
-5
Suppose -2*n + 6 = -n. Let u be (11 - 9)*n/4. Solve 3*y = -4*b + 18, -u*y = -5*b - 0 + 9 for y.
2
Let m = 2 - 13. Let x = -11 - m. Solve x*w - 5*w + 10 = -3*a, -6 = 2*a - 4*w for a.
-5
Suppose 6*n = 2*n + 8. Suppose d + n = 0, -4*d + 12 = -k + 2*k. Solve 3*c = 3*i + 18, -3*i - k = 2*i + 5*c for i.
-5
Suppose -10*u = -12*u + 130. Let m be (-4)/10 + 546/u. Solve -s - 3*z = m, -3*s + 9 = 5*z + 29 for s.
-5
Let f be 1 + -1 + 2 + 0. Let b be ((-4)/(-3))/(f/6). Let h be ((-12)/3)/4 - -4. Solve -y + 8 = b*j - h, 4*j = 3*y - 1 for j.
2
Let p be 5/1*4/(-2). Let d be ((-36)/(-10))/((-2)/p). Solve -3*o - 2*y + 8 = 0, 0 = 3*o - 4*y + d - 2 for o.
0
Let h(o) = o**2. Let g = 11 - 5. Let l = g + -4. Let k be h(l). Solve k*x = 5*f + 17, -x + 16 = 4*x - f for x.
3
Suppose 3*o + 1 = 2*o. Let t = 2 + o. Let m be (t - (-12)/(-3)) + 3. Solve u + 4*v = m, -2*u + 2*v = -v + 11 for u.
-4
Suppose 2*h - 28 = -5*r, 2*r - h = 3 + 1. Solve -n = -a + 3, 0*n + 4 = -r*a - 4*n for a.
1
Let m = -2 - -9. Let h be -2 - 7*(-2 + 1). Let g = m - h. Solve s + 2*s + 16 = a, 0 = g*s - 4*a + 14 for s.
-5
Let x = -1 + 2. Let h(q) = 5*q**2. Let l be h(x). Solve -3*r - r + 5*z = 0, -5*r + 5*z - l = 0 for r.
-5
Let p(y) = y**2 - 4. Let s be p(-3). Let m be 25 + (1 + 0 - -2). Let i be 188/m - (-2)/7. Solve 5 = 5*v + 3*z - i, s*z = -3*v + 20 for v.
0
Let c be (-12)/42 - (-4)/14. Solve c = 2*n + 3*g - 7, -2*n + g = -2 + 7 for n.
-1
Suppose j - 2*j = -4. Let v = -1 - 2. Let h be (-3 - v) + 3 - -2. Solve -h*d = -j*a - 12, a + 6 = -a for d.
0
Let z = 38 + 82. Suppose l + 4*l - z = 0. Suppose -2*f + l + 6 = 0. Solve -2*x = -6, 5*x - 15 = -3*h + f for h.
5
Suppose -1 = 5*q + 4*h + 4, -q - 1 = -3*h. Let n be 1/(1/2)*q. Let l be (n/3)/((-4)/18). Solve -3*y = -a - 2*y - 1, -l*y = 12 for a.
-5
Let j = 29 - 19. Solve -2*u - 4*p = -3*p - j, 4*u + 5*p - 20 = 0 for u.
5
Suppose 2*i - 20 = 2*h, i - 5*h = -2*i + 40. Suppose 0 = 2*x + 4*u + 16, -11 = 2*x - 0*x + 3*u. Solve -x*t - 5*d = -7 - 9, t - 13 = -i*d for t.
3
Let n(l) = l**2 - 11*l - 7. Let a be n(12). Solve 4*m = -a*r + 4, 0*m - r - 8 = 3*m for m.
-4
Suppose -y - 4*y = 5*y. Solve 2*u + 3*u - 5*j + 35 = y, -u - j - 1 = 0 for u.
-4
Suppose 3*u + 2*j = -3*j, 4*j = -12. Solve -3*r - 5*c = -2*c - 18, u*c = 20 for r.
2
Suppose -4*k + 5 = 45. Let r(c) = -c - 2 + 6*c + 2*c - 10*c. Let x be r(k). Solve -g + 6*g - x = -2*i, 3*g - 8 = i for i.
4
Let q be (-1 + -3)*(-5 - -2). Solve -4 = -n, n = 3*i + i + q for i.
-2
Let v(n) = -3*n + 1. Let q be v(-4). Let w = 31 + -28. Suppose -4*c = 2*d - w*c - 7, -3*d + 3*c = 3. Solve j + 13 = d*s, -5*j = -5*s + 58 - q for j.
-5
Suppose -5*q + 81 = -2*q - m, 0 = 5*q - 5*m - 135. Solve 2*t = -5*d - 16, 5*d + q = -t + 9 for d.
-4
Let a = 16 - 10. Let j(r) = r**2 - 3*r - 1. Let p be j(4). Suppose -p*y + 6 = -a. Solve y*n - 1 = -2*d - 3, n - d + 2 = 0 for n.
-1
Suppose -27 = -3*c + 2*f, 5*c - 45 = -0*f - f. Let q be -2 + 1 + 2 - -1. Solve -5*z = j + 13, 5*z = q*z - c for j.
2
Let i be (6/(-24) - (-39)/(-4))*-1. Solve -4*g + 3*v - 15 = -0*v, 0 = 4*g + 2*v - i for g.
0
Let p = 26 + -23. Solve 5 = -p*l - 5*x, 2*l + 12 = -x + 4 for l.
-5
Let g be 4/4 + 18 + 1. Suppose 2*o - g = -0*o. Solve -4*j = m + o, -2*j = 2*m - 0 + 2 for j.
-3
Let y be (-7 + 1 - -12)/((-4)/(-2)). Solve 3*m = 4*z + 20, 6*z = 3*m + y*z - 18 for m.
4
Let n(d) = -17*d - 2. Let z be n(-1). Suppose -z*k - 15 = -20*k. Solve -5*h - k = -p + 15, -4 = h for p.
-2
Let j be ((-14)/(-3))/(1/3). Suppose 0 = 3*q + 4*d - 14, -j = 3*d - 2. Suppose -l = 5*b - 4 + 16, -15 = -4*l + b. Solve l*g = 2*o - q, -o = 3*g + 6 - 2 for g.
-2
Let h(f) = -f**3 - 2*f**2 - 4. Let t(q) = -q**2 - 9*q - 3. Let i be t(-9). Let s be h(i). Solve j + s = g, -5 = g + 3*j + j for g.
3
Suppose -2*y + 2*g - 4 = 0, 0 = 5*y + 4*g - 3*g - 14. Solve 2*q - 4*z - y = -8, -4*q + 14 = 5*z for q.
1
Let y(b) = b**2 - b - 3. Let q(n) = 1. Let r(l) = 6*q(l) + y(l). Let m be r(0). Solve 5*h = 10, -5*g - m*h = -0*h - 11 for g.
1
Let p(d) = d**3 - 3*d**2 + d. Let m be p(3). Let k = 5 + -5. Suppose k*o = o - 11. Solve -j - o = 5*c, -4*j + 10 = m*c - c for c.
-3
Let m = 4 + 17. Suppose 5*n - 17 = 3. Solve 8*l - s = n*l + m, -2*s = -3*l + 22 for l.
4
Suppose h + 0*h = 0. Solve 4*b - 2*w - 14 = 0, -4*b + h*b + 13 = -3*w for b.
4
Suppose 7*n - 3*n = 8. Solve d + 6 = -3*l, -n*l - 7 + 2 = d for d.
-3
Suppose 0 = a - 19 - 1. Solve 6*h - 4*h - a = -4*y, 0 = 5*h - y - 6 for h.
2
Suppose 0 = 5*q + 3*y - 15, -3*q = -6*q - y + 13. Suppose q = -v + 1. Let j = -2 - v. Solve -h + j = -5*s + h, 0 = s + 5*h - 21 f | {
"pile_set_name": "DM Mathematics"
} |
+ 6*q**3 - q**4 - b*q.
-q*(q - 2)*(q - 1)**2
Suppose -184*u = 88*u + 28*u. Factor u + 1/4*n**2 - 1/4*n.
n*(n - 1)/4
Suppose 4*k - i + 108 = -0*i, 0 = -2*k - 5*i - 32. Let j = -21 - k. Let 0*b - 2/3*b**2 + 0 + 2/3*b**j + 2/3*b**4 - 2/3*b**3 = 0. What is b?
-1, 0, 1
Let m(w) = -16*w**3 + 156*w**2 - 20*w + 20. Let s(g) = g**3 - 6*g**2 + g - 1. Let v(f) = m(f) + 20*s(f). Factor v(y).
4*y**2*(y + 9)
Factor -12*d**3 - 6 + 12*d**4 + 2*d**2 - 5*d**2 + 3 + 12*d - 6*d**2.
3*(d - 1)*(d + 1)*(2*d - 1)**2
Let i(u) be the second derivative of u**7/280 + u**6/40 + 3*u**5/40 + u**4/8 - 17*u**3/6 - 2*u. Let b(k) be the second derivative of i(k). Factor b(x).
3*(x + 1)**3
Suppose 3*s - 12 = -3*x, 37*x + 6*s = 39*x + 24. Suppose 3/5*p + x - 3/5*p**2 = 0. Calculate p.
0, 1
Factor -8/7*a**3 - 2/7*a**4 - 8/7*a - 2/7 - 12/7*a**2.
-2*(a + 1)**4/7
Let n(k) be the first derivative of k**5/480 - 6*k**2 - 11. Let t(l) be the second derivative of n(l). Factor t(s).
s**2/8
Let g = -768571/21 + 36599. Solve 0 - 2/21*r**4 - 2/21*r**5 - g*r**2 + 8/7*r**3 - 32/21*r = 0.
-4, -1, 0, 2
Let m be ((-252)/(-924))/(4/22). Find k such that m*k - 3/8*k**2 - 3/2 = 0.
2
Let b(y) = 33*y + 14. Let l be b(-2). Let g = 54 + l. Factor 1/4*r**5 + 0*r + 1/2*r**3 + 0*r**g + 0 - 3/4*r**4.
r**3*(r - 2)*(r - 1)/4
Let n be (-6)/(-8) + (-165)/252. Let z = n - -4/7. Factor -z*c**3 - 8/3*c**2 - 4/3 - 10/3*c.
-2*(c + 1)**2*(c + 2)/3
Factor 2/3*f**3 - 6*f + 10/3 + 2*f**2.
2*(f - 1)**2*(f + 5)/3
Suppose -2*h - 121*u - 17 = -126*u, 0 = -h - 4*u + 24. Let -1/4*l**h + 3/2*l**2 + 2*l + 3/4 + 0*l**3 = 0. What is l?
-1, 3
Suppose 0 + h + 6/7*h**2 - 1/7*h**3 = 0. Calculate h.
-1, 0, 7
Let r(m) be the third derivative of -m**5/100 - m**4/20 + 7*m**2 - 4. Let r(k) = 0. Calculate k.
-2, 0
Let r(i) be the second derivative of 35/3*i**3 + 245/2*i**2 + 0 + 5/12*i**4 + 30*i. Find s, given that r(s) = 0.
-7
Let q be (3*32/(-120))/((-2)/5). Let r(n) be the first derivative of 0*n - 2 + 2/7*n**q + 1/14*n**4 + 2/7*n**3. Factor r(a).
2*a*(a + 1)*(a + 2)/7
Let w(x) = -4*x**3 - x**2 + x + 1. Let c be 0 - (-2)/(-6)*3. Let v be w(c). Suppose 15*y**v - 21*y**3 + 3*y**2 + 3 + 6*y - 6*y**2 = 0. What is y?
-1, -1/2, 1
Let g = -7061 + 21236/3. Suppose -4/3*v**2 + 0*v - 28/3*v**3 + 0 - 20/3*v**5 - g*v**4 = 0. What is v?
-2, -2/5, -1/4, 0
Let m(z) be the first derivative of -z**6/4 + 3*z**5/2 - 9*z**4/4 - z**3 + 21*z**2/4 - 9*z/2 + 56. Let m(g) = 0. Calculate g.
-1, 1, 3
Let n(d) = 5*d**4 + 25*d**3 + 12*d**2 - 49*d - 14. Let m(t) = -t**4 - 6*t**3 - 3*t**2 + 12*t + 4. Let w(f) = -9*m(f) - 2*n(f). Suppose w(l) = 0. Calculate l.
-1, 2, 4
Let a(b) be the first derivative of -b**6/10 + b**5/10 + b**4/12 + 5*b - 8. Let p(n) be the first derivative of a(n). Factor p(m).
-m**2*(m - 1)*(3*m + 1)
Let r(m) be the second derivative of 0 + 45*m + 1/4*m**3 + 3/8*m**2 + 1/16*m**4. Factor r(v).
3*(v + 1)**2/4
Let u(w) be the third derivative of -w**6/180 + w**5/10 - 3*w**4/4 + 2*w**3/3 + 4*w**2 + 4*w. Let g(c) be the first derivative of u(c). Factor g(q).
-2*(q - 3)**2
Let f(g) = 3*g**3 + 132*g**2 - 279*g + 144. Let x(r) = -3*r**3 - 132*r**2 + 277*r - 142. Let h(u) = 2*f(u) + 3*x(u). Solve h(d) = 0.
-46, 1
Solve -2/3*z**3 + 10/3*z**2 + 0*z + 0 = 0.
0, 5
Suppose -7*o = -12*o + 490. Let p = -96 + o. Determine c so that 1/3*c**p + 2/3*c + 0 = 0.
-2, 0
Let d = 6156/5 - 1224. Let 8/5 - d*s**2 - 28/5*s = 0. What is s?
-1, 2/9
Let b(a) = 3*a**3 + 24*a**2 + 15*a - 38. Let d(i) = 3*i**3 + 24*i**2 + 15*i - 39. Let z(l) = -3*b(l) + 4*d(l). Let z(f) = 0. What is f?
-7, -2, 1
Factor -74*f**2 + 147*f**2 - 35378 + 334*f - 75*f**2 + 198*f.
-2*(f - 133)**2
Suppose 3*f + 2 = -a + 6*f, 3*f = -a + 10. Let m(p) be the third derivative of 0 - 1/40*p**6 + 0*p**a - 1/10*p**5 - p**2 + 0*p**3 + 0*p. Solve m(l) = 0 for l.
-2, 0
Let b = 72 + -70. Let i be (b + 1)/18 + 34/84. Factor -2/7*u**2 - 6/7*u - i.
-2*(u + 1)*(u + 2)/7
Let m(h) = -5*h**4 + h**3 + 24*h**2 - 24*h - 4. Let j(x) = -14*x**4 + 2*x**3 + 72*x**2 - 73*x - 11. Let p(q) = -4*j(q) + 11*m(q). Let p(c) = 0. Calculate c.
-7, 0, 2
Let c = 976 - 3899/4. What is w in -1 + 2*w - c*w**2 + 1/4*w**3 = 0?
1, 2
Let a be (9/3)/((-15)/(-10)). Suppose a*q**3 - q + 14*q**2 + q**4 - 16*q**2 + 1 + 0 - q**5 = 0. Calculate q.
-1, 1
Let l(h) be the third derivative of -h**6/840 + h**5/70 - 5*h**4/168 + 51*h**2 + h. What is j in l(j) = 0?
0, 1, 5
Let h(r) = 3*r**3 + 16*r**2 + 9*r - 4. Let w(p) = 3*p**3 + 15*p**2 + 9*p - 3. Let g(k) = 3*h(k) - 4*w(k). Factor g(u).
-3*u*(u + 1)*(u + 3)
Let y be (-2)/10 + (-17)/(-64 + -21). Let z(b) be the second derivative of 2/9*b**3 + 7/18*b**4 + 0*b**2 - 2/15*b**5 + 5*b + y. Factor z(i).
-2*i*(i - 2)*(4*i + 1)/3
Let t be -1*((-4)/(-6) - 18805/(-45)). Let g = t + 419. Factor -2/9*p - 4/9*p**2 + g*p**3 + 2/9*p**4 + 2/9 - 2/9*p**5.
-2*(p - 1)**3*(p + 1)**2/9
Let f(o) = 3*o**3 + 9*o**2 + 9*o + 15. Suppose 0*p + 2*p = 3*w - 4, 4*w + p = 9. Let m(v) = w + 1 - 4. Let d(b) = -f(b) - 12*m(b). Factor d(h).
-3*(h + 1)**3
Let t = -14 - -13. Let p be 3/(t/(3/(-1))). Suppose 0*b**3 - p*b**2 - b**3 + 8*b**2 + 0*b**2 = 0. What is b?
-1, 0
Let l be (-5)/(175/10) - 15/(-28). Let p(m) be the first derivative of -6 + l*m - 3/8*m**2 - 1/3*m**3. Factor p(x).
-(x + 1)*(4*x - 1)/4
Let o(u) be the third derivative of -1/900*u**6 + 6*u**2 + 1/300*u**5 - 7/6*u**3 + 1/30*u**4 + 0 + 0*u. Let i(w) be the first derivative of o(w). Factor i(a).
-2*(a - 2)*(a + 1)/5
Let i(a) be the second derivative of 4489*a**4/36 + 134*a**3/9 + 2*a**2/3 - 108*a. Determine v, given that i(v) = 0.
-2/67
Let i(b) = b**3 - 6*b**2 - 3*b + 4. Let g be i(6). Let z = g + 19. Factor -z*k**4 + 3*k**4 - k**4 + 5*k**2 + 4*k**2 + 6*k.
-3*k*(k - 2)*(k + 1)**2
Let d be 4/(-2) + 2 + 0. Let r(g) be the second derivative of -1/100*g**5 + 0*g**3 - 5*g + 0 + 1/60*g**4 + d*g**2. Factor r(t).
-t**2*(t - 1)/5
Find x, given that -10/13*x**2 + 0*x + 0 + 10/13*x**4 + 2/13*x**5 - 2/13*x**3 = 0.
-5, -1, 0, 1
Let l(u) be the third derivative of -19*u**8/28 + 32*u**7/15 + 2*u**6/15 - 38*u**5/5 + 53*u**4/6 + 4*u**3/3 - 18*u**2 - 5*u. Let l(j) = 0. What is j?
-1, -2/57, 1
Factor 528/7*j - 1440/7 - 58/7*j**2 + 2/7*j**3.
2*(j - 12)**2*(j - 5)/7
Let x be (8 + -2)*2/6. Suppose 26 - x = 6*n. Factor 5 - 5*j**n + 13*j**3 - 3*j**3 + 0*j**4 - 10*j + 0.
-5*(j - 1)**3*(j + 1)
Let h(d) be the first derivative of d**7/3780 + d**6/810 - d**5/540 - d**4/54 - 19*d**3/3 + 14. Let z(n) be the third derivative of h(n). Factor z(s).
2*(s - 1)*(s + 1)*(s + 2)/9
Let u(t) be the first derivative of t**5/30 - 5*t**4/12 - 2*t**3 - 31*t**2/2 + 17. Let m(y) be the second derivative of u(y). Factor m(z).
2*(z - 6)*(z + 1)
Let h(u) = 12 + 0 - u**2 + 14*u - 2*u + 3. Let v be h(13). Factor 4*m - 2*m**2 + 2*m**2 + 2*m**v + 2.
2*(m + 1)**2
Factor 98*o - 231681 + 231681 + 2*o**2.
2*o*(o + 49)
Let o = 45883/1518 + -15/253. Let n = o + -30. Find b, given that 1/3*b - n - 1/6*b**2 = 0.
1
Factor -2523/5*l**2 - 12/5 - 348/5*l.
-3*(29*l + 2)**2/5
Let o(h) = 13*h**3 + 144*h**2 + 702*h - 2035. Let q(u) = 4*u**3 + 48*u**2 + 234*u - 678. Let g(w) = 2*o(w) - 7*q(w). Find i, given that g(i) = 0.
-13, 2
Let i = 17368/9 - 1928. Factor -i*j + 10/9*j**2 - 2/9*j**3 + 8/9.
-2*(j - 2)**2*(j - 1)/9
Let v(x) be the first derivative of x**6/14 - 9*x**5/35 - 3*x**4/28 + 11*x**3/7 - 18*x**2/7 + 12*x/7 - 54. Determine r, given that v(r) = 0.
-2, 1, 2
Let p(c) be the second derivative of -2/15*c**3 + c + 0*c**2 + 1/60*c**4 + 0. Let p(j) = 0. Calculate j.
0, 4
Suppose 3*t + l - 17 = 0, -t - 4*l - l - 13 = 0. Factor -4*v**3 - 4*v**4 + 2*v**4 + 14*v**3 + t*v**4 - 5*v**5.
-5*v**3*(v - 2)*(v + 1)
Let -18*b**4 - 5*b**5 - 47*b**4 - 56*b**3 - 59*b**3 - 46*b**2 - 9*b**2 = 0. What is b?
-11, -1, 0
Let z(y) be the second derivative of -y**4/42 + y**2/7 + 4*y - 1. Determine w, given that z(w) = 0.
-1, 1
Let b be 36/15 - (-1 + (-6)/(-15)). Let k be 8 - (-4)/(-2) - b. Factor 0 - 2*h**k - 8*h**4 + 4/3*h**2 + 0*h - 14/3*h**5.
-2*h**2*(h + 1)**2*(7*h - 2)/3
Factor -169/2 + 51/2*q**2 - q**3 - 156*q.
-(q - 13)**2*(2*q + 1)/2
Suppose 13*l = -240 + 58. Let k be (-12)/(-6 - 0) - (-8)/l. Suppose k*p + 12/7*p**2 - 8/7*p**4 + 6/7*p**5 - 16/7*p**3 - 4/7 = 0. What is p?
-1, 1/3, 1, 2
Let r(j) be the third derivative of 7*j**6/40 - 5*j**5/4 - 3*j**4/2 - 31*j**2 + | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when 179 is divided by u?
57
Let x(k) = 9 + 3*k - 13 + 2*k**2 - 2*k. Let o be x(-4). Suppose 3*v + 2*v - 56 = -3*q, -3*v + o = 5*q. What is the remainder when 50 is divided by v?
11
Suppose -970 = -18*s + 398. What is the remainder when 221 is divided by s?
69
Suppose 5*n = -170 - 25. Let g = 64 - n. What is the remainder when g is divided by 26?
25
Let k = 78 - 37. Calculate the remainder when k is divided by 11 - (6 - (11 - 0) - -5).
8
Suppose y - 3*v - 61 - 70 = 0, -3*y + 4*v + 378 = 0. Calculate the remainder when 243 is divided by y.
121
Suppose -6*o + 10 = -o. Suppose -o*l + 45 = 5*k + 3*l, 3 = -k + 5*l. Suppose -y = 3*y - 48. What is the remainder when y is divided by k?
5
Let b = 56 + -43. Suppose 8*t + b*t = 315. Suppose 0 = -4*i + i + 222. Calculate the remainder when i is divided by t.
14
What is the remainder when ((19 - 23) + -316)/(2/(-6)) is divided by 37?
35
Let a = 14 + -14. Suppose -8 = -2*b - 0*b. Suppose -o - b*k = -a*o - 14, -101 = -4*o - k. What is the remainder when 51 is divided by o?
25
Let p = 1324 + -281. What is the remainder when p is divided by 18?
17
Suppose 0 = 4*s - 7*d + 10*d - 32, s - 4*d - 27 = 0. Calculate the remainder when 163 is divided by s.
9
Suppose 2*w + 3*l - 40 = 0, -7*w + 8*w - 4*l - 9 = 0. Calculate the remainder when 50 is divided by w.
16
Suppose -3*n = -n - 34. What is the remainder when n is divided by (4 - (4 + -3 + 3)) + 4?
1
Suppose 5*x - 173 = -68. Calculate the remainder when 142 is divided by x.
16
Suppose 3*x + 2*x - 200 = 0. Let q be (8/20)/(4/x). Calculate the remainder when 10/q*(21 - -5) is divided by 17.
14
Let x = 1703 - 1637. What is the remainder when 143 is divided by x?
11
Suppose -16*z + 28548 = -4*z. What is the remainder when z is divided by 70?
69
Suppose 260 = 3*z + r + 95, -4*r = -12. Suppose 7 = 5*x - 13. Suppose y + 5*i = 1, x*i = -8 - 0. What is the remainder when z is divided by y?
10
Let g(w) = -w**3 + 50*w**2 + 8*w - 255. Calculate the remainder when 1009 is divided by g(50).
139
Let b = 31 - -26. Let f(g) = -6*g - 18. Suppose -x = -3*x - 16. Calculate the remainder when b is divided by f(x).
27
Suppose 0 = -2*m + 7*m - 145. Let k = 8 - -2. Calculate the remainder when m is divided by k.
9
Suppose -4*r - 19 = 5. Let g = r - -10. Suppose -2*a + 0*a = -2*i + 4, -a = i - g. What is the remainder when i is divided by 3?
0
Calculate the remainder when 713 is divided by (-17)/(15/(-9)*(-3)/(-15)).
50
Suppose -118 = 2*j - 3*j. Calculate the remainder when j is divided by (-16*12)/(-6) - -8.
38
Suppose -z + 454 = -3*q + 415, 0 = -3*z + 3*q + 87. Let o(u) = 2*u**2 - 5*u - 4. What is the remainder when z is divided by o(4)?
0
Suppose -5*s + 37 = 17. Suppose -4*i + 93 = -63. Calculate the remainder when i is divided by s/2 - (10 - 22).
11
Let u = -19 + 12. Let b = u + 11. Suppose 3*t - 23 - 43 = -k, b*t - 341 = -5*k. What is the remainder when k is divided by 18?
15
Let h be 6/(-21) + 46/14. Suppose 2*w + 16 + 1 = l, h*l - 59 = 4*w. Let m = 23 - 14. What is the remainder when l is divided by m?
7
Suppose -j = -5 - 1. Suppose -j + 3 = u. What is the remainder when (-4102)/(-35) + u/15 is divided by 30?
27
Let n = -30 + 39. Let s(u) = u**2 - 8*u - 6. Calculate the remainder when s(n) is divided by 1.
0
Let m = -79 - -229. What is the remainder when m is divided by 31?
26
Let l(y) = y**3 - 5*y**2 + 1. Let g be l(5). Let v be ((-4)/(-8))/(g/10). Suppose v*w - w = 108. Calculate the remainder when w is divided by 15.
12
Let d = -700 - 335. Let f be 1/2 + d/(-30). Suppose 0 = -4*v - f + 175. Calculate the remainder when v is divided by 9.
8
Let g(y) = -y**3 + 14*y**2 + 19*y - 6. Calculate the remainder when g(15) is divided by 14.
12
Let o(f) = -f + 9. Let z be o(4). Let l = -79 + 111. Suppose 0 = 2*q - z*t - 70, 5*t + 2 - l = -2*q. What is the remainder when q is divided by 13?
12
Calculate the remainder when 819/4 - ((-162)/(-24) + -7) is divided by 71.
63
Suppose -11*s + 56 = -4*s. What is the remainder when 41 is divided by s?
1
Let y(r) = -23*r - 127. Calculate the remainder when 31 is divided by y(-6).
9
Let x(w) = -6*w - 281. Calculate the remainder when 7 is divided by x(-47).
0
Let x(o) = o**2 + 50*o + 146. What is the remainder when 9 is divided by x(-47)?
4
Let w be 6*(-3 + 6 - 2). Suppose -w*i + 137 = 53. Suppose 2*b = -2*b + 220. What is the remainder when b is divided by i?
13
Let w(x) be the second derivative of 0 - 1/12*x**4 - 5/2*x**2 - 5*x + 13/6*x**3. What is the remainder when w(11) is divided by 6?
5
Let s(l) = l + 7. Let h be s(-7). Suppose 5*w - 2*w - 57 = h. Calculate the remainder when 127 is divided by w.
13
Suppose 4*y - 13 = -5*c + 52, 64 = 4*y + 4*c. Let q = 35 + 7. Calculate the remainder when q is divided by y.
12
Suppose 28 = -6*g + 13*g. Suppose -g*h = 2*h - 162. Let d(x) = x**3 - 3*x - 1. Calculate the remainder when d(4) is divided by h.
24
Let v(i) = -2*i**2 + 6*i - 13. Let u(r) = r**2 + 1. Let z(a) = 3*u(a) + v(a). What is the remainder when 83 is divided by z(-9)?
15
Suppose 5*x + l = -4 + 1, -l - 3 = -3*x. Let u be 2 + x + 0/1. Suppose 8 = -0*f - u*f + 5*y, 2*f + y = 16. What is the remainder when 16 is divided by f?
4
Let a = 10 + -7. Suppose -405 = -6*g + a*g. Suppose 4*n = -43 + g. Calculate the remainder when n is divided by 13.
10
Suppose 0 = -5*j - n + 483, 0*n = j - 2*n - 101. Let d(v) = 2*v**2 - 27*v + 6. What is the remainder when j is divided by d(14)?
17
Let c be (0 - -23)*(-4)/(-4). Suppose 117 = -105*p + 92*p. Let m = c + p. What is the remainder when m is divided by 5?
4
Suppose -4*s + 2*w + 14 = 0, 2*s - 17 = -4*w + 3*w. Suppose s = -f + 16. What is the remainder when 58 is divided by f?
8
Let z(r) = r**2 - 10*r + 8. Calculate the remainder when 35 is divided by z(11).
16
Suppose 3*a = 3*m - 42, 0 = 3*m - 4*a - 9 - 30. What is the remainder when 45 is divided by m?
11
Suppose -658 = 3*o - 10*o. What is the remainder when o is divided by 12?
10
Let f(s) = s**3 - 7*s**2 - 8*s - 9. Let c be f(8). Let n = c + 36. Let u = 15 + -8. Calculate the remainder when n is divided by u.
6
Suppose -7*p + 3*p = -376. Let v(a) = -a**2 + 23*a - 84. Calculate the remainder when p is divided by v(18).
4
Let a(u) = u**3 + 11*u**2 + 24*u + 4. What is the remainder when a(-5) is divided by (39 - 3)*(-2)/(-4)?
16
Suppose 3*x - 157 - 74 = 0. Suppose p - 13 = 5*y, -5*y = p + 3*p - x. What is the remainder when 50 is divided by p?
14
Suppose 2*r + 0*r = -2*t - 88, -5*t - 172 = 4*r. Let x = 56 + r. Calculate the remainder when 39 is divided by x.
7
Suppose 2*b - 139 + 9 = -4*k, -4*k = -b - 145. Let r = 19 + -10. Calculate the remainder when k is divided by r.
8
Let h(x) = x**2 + x + 7. Let r(u) = -u**2 + 7*u - 5. Calculate the remainder when h(3) is divided by r(4).
5
What is the remainder when 440 is divided by -6 + (4 - 4) - -27?
20
Suppose -30*w + 31*w = 87. Let d = 21 - 6. What is the remainder when w is divided by d?
12
Suppose 2*t + 40 = -3*t + 5*x, -1 = 2*t + x. What is the remainder when 86/5 - (-8 - t)/(-25) is divided by 5?
2
Suppose i + m = 0, -i = -5*m + 2*m - 4. Let d = -17 - -20. Calculate the remainder when d is divided by i.
0
Let w = 651 + -486. Calculate the remainder when w is divided by 14.
11
Let m = 86 - 26. Suppose 3*b + m = 5*b. Let l = 39 + -23. Calculate the remainder when b is divided by l.
14
Let u(s) = s**3 + 4*s**2 - 3*s - 2. Let n be u(-3). Calculate the remainder when 69 is divided by -1 + (-15)/(-12) + 300/n.
12
Suppose 4*g + 4*m = 384, 0 = -4*g + 5*m + 477 - 102. What is the remainder when g is divided by 8?
7
Let j(x) = -x**3 - 16*x**2 + 18*x + 8. Let o be j(-17). What is the remainder when (-5 - o)/(1/8) is divided by 18?
14
What is the remainder when 193 is divided by -5*(1 + 219/(-15)) - 3?
63
Let g = 46 + -10. Let z = 56 - g. Let v = 10 - 3. What is the remainder when z is divided by v?
6
Suppose 2*b - 44 = 66. Calculate the remainder when 157 is divided by b.
47
Let s be (65/55 - 1) + (-603)/(-11). Let i = s + 20. What is the remainder when i is divided by 41?
34
Let r = -81 - -131. What is the remainder when r is divided by 6?
2
Suppose -42 = 69*i - 72*i. Let j(b) = 40*b**3 + b**2. Let u be j(1). Suppose s + u = 2*s. Calculate the remainder when s is divided by i.
13
Let t(s) = -3*s**3 + 10*s | {
"pile_set_name": "DM Mathematics"
} |
8*h(d) + 4*t(d).
2*d + 2
Let t(j) = 7*j - 1. Let h be -4 - (-7 - -10 - 0). Let n(w) = -2*w - 1. Let g(x) = -4. Let c(u) = h*n(u) + 2*g(u). Calculate -3*c(o) + 5*t(o).
-7*o - 2
Let l(x) = -3*x**3 - 6*x**2 + 6*x + 8. Let w be (110/(-88))/((-4)/16) + 0. Let y(n) = -2*n**3 - 5*n**2 + 5*n + 7. Determine w*l(u) - 6*y(u).
-3*u**3 - 2
Let x(d) = -3*d**3 + 4*d**2 - 5*d + 4. Let a = 40 - 41. Let s(k) = -k**3 + k**2 - k + 1. Let y = 155 - 151. Give a*x(g) + y*s(g).
-g**3 + g
Let a(q) = 8*q**3 - 14*q**2 + 16*q + 4. Let j(m) = m**3 - 5*m**2 + 4*m + 1. Let r(b) = a(b) - 3*j(b). Let i(h) = h**3 + h**2 - h + 1. Give i(p) - r(p).
-4*p**3 - 5*p
Let i(s) be the third derivative of 5*s**4/12 - 5*s**3/6 - 610*s**2. Let p(g) = g - 1. What is i(w) - 4*p(w)?
6*w - 1
Let o(i) = 6 + 7 - 5 + 0 - 2*i. Let a(m) = m**3 - 2*m**2 + 5*m - 4. Suppose 0 = -2*u - 10 + 14. Let g be a(u). Let z(s) = -s + 7. Give g*z(p) - 5*o(p).
4*p + 2
Let x = -52 - -48. Let f(b) = 5*b**2 - 5. Let j(l) = -4*l**2 + 4. Let i(w) = x*f(w) - 6*j(w). Let z = -7 - -11. Let k(n) = 1. Calculate z*k(s) + i(s).
4*s**2
Suppose 6 = 2*u, 5*o - 7*u = -4*u + 56. Suppose 0 = -o*j - 14 + 53. Let c(n) = n + 6. Let z(x) = 2*x + 17. Calculate j*z(b) - 8*c(b).
-2*b + 3
Let z(k) = 2*k**2 + 3*k. Suppose 0 = -2*n + 10*n - 120. Let h be (12/(-15))/(n/((-300)/(-8))). Let v(c) = 8*c**2 + 12*c + 1. Calculate h*v(r) + 9*z(r).
2*r**2 + 3*r - 2
Let d(s) = -s**3 + s**2 - s. Let t(y) be the second derivative of 3*y**5/4 - y**4/4 + y**3/6 + y**2 + 3*y - 20. What is d(b) + t(b)?
14*b**3 - 2*b**2 + 2
Let o(a) = a**2 + 2*a. Let g(y) = -2*y**2 - 5*y. Suppose -3*n - 2 = -d - 4*n, d = 2*n + 14. Let s = 874 - 861. Calculate d*g(j) + s*o(j).
j**2 - 4*j
Let i(v) = 3*v**3 - 20*v**2 - v + 17. Let c(u) = 4*u**3 - 21*u**2 - u + 23. Determine -2*c(x) + 3*i(x).
x**3 - 18*x**2 - x + 5
Let x(g) = g**3 - 2*g**2 - 424*g + 3. Let k(b) = -3*b**3 + 5*b**2 + 1697*b - 11. Determine -3*k(p) - 11*x(p).
-2*p**3 + 7*p**2 - 427*p
Let h(r) = 108*r**3 + 21*r**2 - r - 9. Let d(o) = -27*o**3 - 5*o**2 + 2. Give 9*d(q) + 2*h(q).
-27*q**3 - 3*q**2 - 2*q
Let m(i) = -6*i - 6. Suppose 3*l + 4*v - 2462 = 0, 2*v = 3*l - 1144 - 1288. Let r be 95/15 - 1/3. Let o(g) = 819 - g - l + r*g. Determine -4*m(p) - 5*o(p).
-p - 1
Suppose 1386 = 5*y + 4*i, -3*i - 675 = -3*y + 135. Let j = y - 276. Let p(c) = 6*c + 2. Let s(b) = -25*b - 9. Determine j*s(o) - 9*p(o).
-4*o
Let b(n) be the first derivative of n**2/2 + 9663. Let j(r) = r - 1. Calculate 7*b(w) - 4*j(w).
3*w + 4
Suppose -u - 3*g - 3 = 0, -4*u = -69*g + 65*g + 28. Let l(k) = -52*k - 6. Let d(t) = 17*t + 2. Give u*l(i) - 17*d(i).
23*i + 2
Let g(q) = -16*q**3 + 5*q**2 - 37*q - 5. Let s(a) = -63*a**3 + 19*a**2 - 135*a - 19. Give 11*g(k) - 3*s(k).
13*k**3 - 2*k**2 - 2*k + 2
Let x(z) = 3*z. Let k(g) = -1214*g. Determine k(o) + 4*x(o).
-1202*o
Let m(i) = 36*i**2 - 10*i - 11. Let g(v) = -34*v**2 + 8*v + 10. What is 6*g(p) + 5*m(p)?
-24*p**2 - 2*p + 5
Let l(s) = -3282*s + 4. Let d(g) = 6601*g - 9. What is -4*d(a) - 9*l(a)?
3134*a
Let k = 1 - 2. Let r(x) = -12*x**3 + 3*x + 2. Let s(l) be the third derivative of l**6/120 - l**4/24 - l**3/6 - 2*l**2 + 56866*l. What is k*r(u) - 2*s(u)?
10*u**3 - u
Let v(n) = -13*n**2 - 16 + 40 - 30. Let c(h) = -27*h**2 - 11. What is -4*c(l) + 7*v(l)?
17*l**2 + 2
Let v(j) = -2*j + 0*j**3 + 13*j**3 + 2*j**2 - 22*j**2 + 33*j**2 + 7. Let y(t) = 9*t**3 + 9*t**2 - t + 5. Calculate 5*v(n) - 7*y(n).
2*n**3 + 2*n**2 - 3*n
Let k(b) = b**2 - 16*b - 5. Let j(m) = -8*m - 2. Let s = 528 - 528. Suppose -13*q - 12*q + 50 = s. Give q*k(y) - 5*j(y).
2*y**2 + 8*y
Let s(m) = 5*m - 5. Let o(p) = -5*p + 4. Let q(t) = 23 - 11*t - t**2 + 0 - 14*t + 22*t. Let y be q(-7). Determine y*o(g) - 4*s(g).
5*g
Let u(l) = l**2 - 3*l. Let d(t) = -33*t**2 + 13*t + 8. Let x(n) = d(n) + 2*u(n). Let m(b) = 31*b**2 - 8*b - 9. Give -6*m(c) - 7*x(c).
31*c**2 - c - 2
Let d(s) = 5*s - 10. Let h(w) = 2840*w - 5581*w + 2742*w. Give d(i) - 6*h(i).
-i - 10
Let r(o) = -6*o**2 + 5*o + 15. Let q(c) = 3*c**2 - 2*c - 8. Suppose 5*f - 3611 = -2*m - 3678, 4*m + 2*f = -62. Determine m*q(g) - 6*r(g).
3*g**2 - 8*g - 2
Let o(c) be the second derivative of c**4/6 + c**2/2 + 24*c. Suppose -536 + 176 = -72*q. Let s(i) = -2*i**2 - 1. Calculate q*s(g) + 6*o(g).
2*g**2 + 1
Let f(d) = -52*d**2 - 2*d + 5. Let y(j) = 105*j**2 + 4*j - 9. What is -5*f(b) - 2*y(b)?
50*b**2 + 2*b - 7
Let c = 6 - 8. Let b(a) be the second derivative of 5/2*a**3 + 0 - 21/2*a**2 - a. Let z(q) = 3*q - 4. Determine c*b(s) + 11*z(s).
3*s - 2
Let k(m) = -45*m + 11. Let f(c) be the first derivative of -15*c**2/2 + 4*c + 1354. Calculate 8*f(t) - 3*k(t).
15*t - 1
Let h(d) = 7551*d - 19. Let j(q) = 1885*q - 5. Calculate -6*h(g) + 23*j(g).
-1951*g - 1
Let b(g) = 5. Suppose -5*y - p + 2 = 0, 5*y + 1 = -p - p. Let c(n) = n - 1. Suppose -2*s = -4*v + 28, 3*s + 3*s = -5*v - 33. Determine v*c(k) + y*b(k).
3*k + 2
Let m(j) = 3*j - 21. Let t(y) = -4*y + 32. Let q(k) = 3*m(k) + 2*t(k). Let l(i) = -29*i**2 + 145*i + 145. Give l(a) - 145*q(a).
-29*a**2
Let k(f) = 4*f**2 + 105*f + 29. Let m(x) = 5*x**2 + 158*x + 41. What is 7*k(q) - 5*m(q)?
3*q**2 - 55*q - 2
Suppose 2*v - 4*x - 36 = 0, 4*v - x - 19 = v. Let p(c) = -c**3 - c**2. Let s(i) = 5*i**3 + 4*i**2 - 27*i. Calculate v*p(u) + s(u).
u**3 - 27*u
Let d be -13*(3 - 2/1). Let u(s) = 19*s + 17. Let i(g) = -8144*g - 27. Let p(m) = 3133*m + 11. Let z(r) = 5*i(r) + 13*p(r). What is d*z(k) + 6*u(k)?
-3*k - 2
Let j(n) = -2*n - 5. Let v(o) = o**2 + 8*o + 2. Let l be v(-7). Let f = 1722 - 1726. Let b(u) = -u + u + 3*u + 6. Determine f*b(t) + l*j(t).
-2*t + 1
Let j(n) = n**2 + 4*n - 3. Let y(a) = -a**3 - 4*a**2 - 35*a + 19. What is 4*j(u) + y(u)?
-u**3 - 19*u + 7
Let q(t) be the first derivative of 3*t**3 + 11*t**2/2 - 9*t - 949. Let a(w) = -5*w**2 - 5*w + 4. What is 9*a(h) + 4*q(h)?
-9*h**2 - h
Let m(j) = -138*j**2 + 26*j + 3. Let h(g) = -276*g**2 + 45*g + 5. What is -3*h(o) + 5*m(o)?
138*o**2 - 5*o
Let j(i) = -8*i**3 + 36*i**2 - 27*i + 10. Let b(y) = 16*y**3 - 66*y**2 + 53*y - 18. Determine -6*b(l) - 11*j(l).
-8*l**3 - 21*l - 2
Let k(s) = 73*s**3 + 3*s**2 - 3*s + 3. Let w(p) = 30222*p**3 + 1241*p**2 - 1241*p + 1241. Calculate 2482*k(b) - 6*w(b).
-146*b**3
Let u(y) = -243*y + 3. Let c(s) = -152*s + 2. Let w(n) = 8*c(n) - 5*u(n). Let k(o) = -o**2 - 27*o + 2. Give -k(p) + 2*w(p).
p**2 + 25*p
Let b(m) = 21. Let q(h) = h + 41. Let g(l) = 3*l**3 + 22*l**2 - 18*l - 18. Let v be g(-8). Calculate v*q(x) + 5*b(x).
-2*x + 23
Let l(n) be the third derivative of n**6/120 + n**5/12 - 5*n**4/24 - 8*n**3/3 - 2*n**2 + 195*n. Let d(f) = f**3 + 3*f**2 - 3*f - 8. What is -5*d(v) + 3*l(v)?
-2*v**3 - 8
Let o(j) = 2*j + 2. Let w(s) = s + 1. Suppose -q + 12 = -5*b - 6, 4*b - 50 = -2*q. Let a = -5479 + 5486. Suppose -q - a = 5*l. Determine l*o(k) + 14*w(k).
2*k + 2
Let d(v) = v**2 - 27*v - 325. Let f be d(-9). Let h(p) = -4*p**3 + 5*p**2 + 5*p - 5. Let s(l) = -l**3 + l**2 + l - 1. Give f*h(x) + 5*s(x).
-x**3
Let z(g) = 9*g - 4. Let s(w) = -4*w + 2. Let k(n) = 9*n - 2. Let a be (-60)/27 + 2/9. Let o be k(a). Let b be 13/4 + 5/o. What is b*z(x) + 7*s(x)?
-x + 2
Let f(k) = k**2 + k. Let z(d) = 26*d**2 + 39*d. Suppose 0 = 3*h + 6, -17 + 48 = 5*b - 18*h. Determine b*z(c) + 39*f(c).
13*c**2
Let f(x) = -x**2 - 3. Let q(r) = 152*r**3 + 11*r**2 + r + 27. What is -11*f(b) - q(b)?
-152*b**3 - b + 6
Let h(f) = 2 + 0 + 9*f**3 - 9 + 7*f**2. Let l(n) = 363*n + 3996. Let z be l(-11). Let k(w) = 4*w**3 + 3*w**2 - 3. What is z*h(b) - 7*k(b)?
-b**3
Let u be (-4)/(-10) - 28/20. Suppose -9*x = 44 - 206. Let b(r) = -5 + x - 6 - 6 + r. Let t(a) = -3*a. Determine u*t(g) - b(g).
2*g - 1
Let z(w) = -2*w**3 + 4*w**2 - 9. Let y(l) be the second derivative of l**5/2 - 7*l**4/4 + 45*l**2/2 + 2*l + 514. What is -2*y(v) - 11*z(v)?
2*v**3 - 2*v**2 + 9
Let q(k) be the third derivative of k**5/12 + 11*k**4/24 + 2*k**3/3 + 10271*k**2. Let c(j) = -j**3 - 6*j**2 - 12*j - 5. Give -4*c(o) - 5*q(o).
4*o**3 - o**2 - 7*o
Let x(w) = 1454*w**3 + 34896. Let h(m) = 3. What is 58160*h(c) - 5*x(c)?
-7270*c**3
Let a(z) = 30*z - 1. Suppose -179*u + 183*u = -44. Let h(o) = 6*o. Determine u*h(g) + 2*a(g).
-6*g - 2
Let m(s) = 11*s**2 - 25*s + 326. Let i(y) = -6*y**2 + 14*y - 163. Determine 9*i(r) + 5*m(r).
r**2 + r + 163
Let y(c) = 18*c**3 + 1 | {
"pile_set_name": "DM Mathematics"
} |
ulate 0.362753 + 18.
18.362753
What is the distance between 0.054639 and -0.0469?
0.101539
What is -485 less than 45316?
45801
Put together -8 and -3598189.
-3598197
Sum 8 and 2.392898.
10.392898
What is 0.1379804522 take away -0.05?
0.1879804522
What is -0.3 minus -1218353216?
1218353215.7
What is 445 less than 3269763?
3269318
271658 + -0.2697
271657.7303
Calculate -686405 - -213.
-686192
Work out -0.332 + -6644430.
-6644430.332
What is 347934.503 plus 3?
347937.503
0.3990021 + 0.1012
0.5002021
What is -2665 + -5.1116?
-2670.1116
303547 - -0.0096
303547.0096
What is 1.361 minus -374712?
374713.361
Sum 2590 and 1.4314.
2591.4314
What is -8611073 take away -0.0868?
-8611072.9132
What is 1407321.338 plus -0.1?
1407321.238
What is -43 plus 6729353?
6729310
What is -2.3429 plus 382?
379.6571
Add -0.03332045 and -233.
-233.03332045
What is 908.7 take away 2.7?
906
What is 95.8 plus 87.5?
183.3
Work out -1.0827 - -0.0101784.
-1.0725216
Add -3.018947 and 1.05.
-1.968947
Work out 0.46303 + 0.061658.
0.524688
Subtract -3.2 from 74.797537.
77.997537
22.73+-707.73755
-685.00755
What is the distance between 0.004579 and 0.55?
0.545421
6+-20.92876
-14.92876
What is -3092.839 take away 0.5?
-3093.339
-1.5 - 272506609
-272506610.5
What is -17613 plus 604?
-17009
-0.5 - 34005875
-34005875.5
Add together 12.94932 and -6942.
-6929.05068
Calculate -19963082407 + -0.1.
-19963082407.1
Total of -2336208.35 and 0.2.
-2336208.15
Add together 20653801 and -2.54.
20653798.46
Sum 400259273.2 and 3.
400259276.2
Work out 4 + 873616.
873620
What is -12 - 1005754?
-1005766
What is 0.5 plus -152647.58?
-152647.08
Add together -19 and -0.031883781.
-19.031883781
Total of 6 and -42.3901009.
-36.3901009
Work out -0.6 + -1907.451772.
-1908.051772
-34+-421208
-421242
Work out 548 - 18884.
-18336
What is -429 - 23310877?
-23311306
Add -0.3 and -19607015.
-19607015.3
Total of 3 and -1136307049.
-1136307046
What is -472015644 minus -2?
-472015642
What is 5 plus -2537631072?
-2537631067
What is 2.074 - 3839?
-3836.926
-3466 - 593682.4
-597148.4
Subtract -1115327 from 0.028018.
1115327.028018
-0.09 + -118557885
-118557885.09
Sum -3246 and 10580.
7334
1376.14127 + 5
1381.14127
0.029022 - 2242
-2241.970978
Add -12906880062 and -10.
-12906880072
Calculate -359010 - -138.
-358872
Add together 0.08 and 21935994.
21935994.08
What is the distance between 6279 and -88753?
95032
What is the distance between 1 and 1017602566?
1017602565
Calculate 10.6 - -4484348.
4484358.6
What is the distance between -7048.87619 and 0?
7048.87619
Put together 54 and -1123494.
-1123440
Work out -958176 - -38.
-958138
Work out 16518.36 - 1.8.
16516.56
Calculate 476575 - 884.
475691
Calculate 35348 + -109.7614.
35238.2386
-59707703 + 26
-59707677
Calculate 3212 - 2347.
865
What is -1 - 12.68566?
-13.68566
What is -1524910 take away 1.94?
-1524911.94
-0.8 + 725.8896
725.0896
What is -679229 take away 782?
-680011
Subtract 7598.10158 from -0.7.
-7598.80158
What is 4777455166 less than -5?
-4777455171
Put together 15951 and 18.828.
15969.828
Work out -4760105 - 6.
-4760111
What is 6082740 minus -0.073?
6082740.073
Work out 3 + 2133830502.
2133830505
Add 0.307 and 3771.
3771.307
Calculate 0 + -70586706.
-70586706
-5+2870537884
2870537879
Put together -9271274 and -0.04.
-9271274.04
Subtract 0.1751216 from -0.9474.
-1.1225216
Sum -2 and -2.649515.
-4.649515
What is -0.2929003561 - 3?
-3.2929003561
What is 40 minus -1099096787?
1099096827
What is -15911017 + -0.5?
-15911017.5
What is the difference between -0.45 and 9.371263?
9.821263
Work out 1.1 - 71026560.
-71026558.9
What is -200 + -8606?
-8806
What is -2 plus 2696731.68?
2696729.68
What is -14 minus 12402225?
-12402239
What is 0.4 plus 177505983?
177505983.4
Total of -0.060684 and -615.906.
-615.966684
What is the distance between -0.2 and 314621.8?
314622
What is -0.1185 take away -7450?
7449.8815
What is the difference between 245062959 and 5?
245062954
Subtract 437.71 from -0.089.
-437.799
Work out 6688779 + 0.073.
6688779.073
Calculate -5469.1 + -47.85.
-5516.95
What is the difference between -37.6895 and 0.03426?
37.72376
What is 8261459 take away 2?
8261457
Subtract 5 from -1168631664.
-1168631669
0.0358562+-0.02534
0.0105162
Subtract 27517.9 from 0.65849.
-27517.24151
Total of -5 and -11.513981.
-16.513981
Work out 1.5 + -44583955.4.
-44583953.9
Work out 383 - -31546050.
31546433
What is 511 take away -7400787?
7401298
0.271+-23.363
-23.092
Calculate 63888 + 90682.
154570
Total of -113 and -3132519.
-3132632
What is -4.3 plus 1892.602?
1888.302
Work out 5.8328730218 + -5.
0.8328730218
What is -8724551 plus 2.18?
-8724548.82
Add together -1.5199294 and 4.
2.4800706
Calculate -154749 - 148903.
-303652
Subtract -3 from 35871.65.
35874.65
What is 7.3596 less than -0.73?
-8.0896
Add 71 and 0.6351216.
71.6351216
What is the difference between 29465597 and 0.3?
29465596.7
Work out -6017015 + 1.6.
-6017013.4
Add -694356 and -2953.
-697309
-0.012442608 + -38.1
-38.112442608
Work out 3.285698 + -0.18239.
3.103308
What is -51961017 - 0.2?
-51961017.2
What is 13045.26 - 84432?
-71386.74
Sum -61.27629 and -6.57.
-67.84629
-0.109635449 + -0.4
-0.509635449
Sum -250.3 and -941.0464.
-1191.3464
Add together -35.43 and -4777510.
-4777545.43
What is the distance between -22733 and 295.73?
23028.73
763.587 - 0.6
762.987
-3208+0.027569
-3207.972431
What is the difference between 6877772 and -77?
6877849
What is -1202719 - -0.212?
-1202718.788
Put together -0.5 and 10705701.
10705700.5
What is the difference between 0.556371121 and 0?
0.556371121
What is 0.00980034 take away 5030?
-5029.99019966
Total of -2.2 and -23869875.
-23869877.2
-0.0317915923+45
44.9682084077
-46 - 299854
-299900
What is -7743.3 + -16.8?
-7760.1
-316.6966 - 141
-457.6966
-0.14 + 0.03491048
-0.10508952
Add 0.07 and -41372.42.
-41372.35
Calculate -2495.1 - 2208.
-4703.1
Add together -222.258 and -2.7185.
-224.9765
What is -64408.715 less than -9?
64399.715
Add -882 and 155422.
154540
Calculate 1803718 + -4.
1803714
What is 2364 plus 7.034?
2371.034
0.06 - -83246187
83246187.06
Add together -0.4 and -667.28173.
-667.68173
What is -432768 - 0.237981?
-432768.237981
What is the difference between 1.4 and 31230.94?
31229.54
Calculate -20320.37 - 5.
-20325.37
Sum 3.5 and -0.992874.
2.507126
What is 0.4517 - 15.23?
-14.7783
What is the difference between -0.1301 and -0.47387?
0.34377
What is 601 less than -105849?
-106450
What is the distance between 45410.69 and 19.473?
45391.217
Add together 54 and 438046.
438100
What is 22125 take away 0.1269?
22124.8731
1151 - -181134
182285
What is -0.059 + -12.81017?
-12.86917
-5 - 40843812352
-40843812357
Work out -10.4209681 - 0.0402.
-10.4611681
Work out -3698.19 + -120.
-3818.19
Total of -0.6306 and 6098981.
6098980.3694
What is the difference between 1293144 and -227?
1293371
-23699628 - 0.59
-23699628.59
Total of -390 and -51.563.
-441.563
What is 0.1 take away -50.15946?
50.25946
What is the distance between -0.0287 and 0.216216?
0.244916
Calculate -349.7 + 2.96.
-346.74
What is -3709309 minus -17?
-3709292
What is -5 - -46.59498?
41.59498
-165.711+11
-154.711
What is -6492 take away -321513?
315021
Put together -4 and 60592114.
60592110
Add -50716.15 and -0.06.
-50716.21
149 - 18.817
130.183
What is -3971989 take away 185?
-3972174
What is the difference between 771.12154 and 2?
769.12154
Put together -2 and 40.8259888.
38.8259888
Calculate -279 - -601.48.
322.48
What is -0.01 minus 4740768?
-4740768.01
Calculate 58242 - -7.2.
58249.2
What is -39 less than -28780849?
-28780810
Work out 0.6798476 + -0.2.
0.4798476
Work out -0.4 - 417118293.
-417118293.4
Add together -278.33 and 805396.
805117.67
What is -0.2 + 404.877329?
404.677329
Work out 15.63 + 22266.
22281.63
Subtract -7.83446376 from 0.5.
8.33446376
Calculate 1 - 89.078165.
-88.078165
What is 71197932635 minus -3?
71197932638
What is 3 plus -105344725?
-105344722
Add together -24168721 and -3.
-24168724
What is the difference between 0.3 and -85678.59424?
85678.89424
Add together 102799 and -0.541.
102798.459
Subtract 80.8726 from 47.
-33.8726
Put together 116 and 0.0027779.
116.0027779
What is 342175717 + -7?
342175710
Add 1879448 and 0.04705.
1879448.04705
307626 - 25
307601
Calculate -21443 - -1256619 | {
"pile_set_name": "DM Mathematics"
} |
*2) - g**3 - g**3 + 0*g**3).
8*g**5
Expand (-t**3 - 95 + t**2 + 99 - 2*t**2)*(1 - 2 + 3).
-2*t**3 - 2*t**2 + 8
Expand (g + g - 4*g)*(-g**2 + 5*g - 5*g) + (g**2 + 4*g**2 - 4*g**2)*(2*g + g + 2*g).
7*g**3
Expand (0*n**2 + 3*n**2 + n**2)*(-1 + 1 + 2*n**3) - n**3 + n**3 - 2*n**5 + (n - 5*n + 2*n)*(-5*n**4 + n**4 + 2*n**4).
10*n**5
Expand (23 - 23 + 8*k + (1 + 4 - 3)*(-2*k - k + 2*k))*((0*k - k - k)*(-1 + 1 - 2) + 5*k - k - 2*k).
36*k**2
Expand (4*t**2 + 7*t**2 - 8*t**2)*(-3*t**2 + 0*t**2 + 2*t**2) + (3 + 1 - 2)*(-t**4 + 4*t**4 - t**4).
t**4
Expand h**2 - 32*h + 32*h - 4*h**3 + 2*h**3 + h**3 - 2*h**3 + (2*h + h - 4*h)*(4*h**2 - 3*h**2 + h**2) - 4*h**3 - h**3 + 3*h**3.
-7*h**3 + h**2
Expand (5 + a - 3*a - 3)*(-a - 12 + 12 + 3*a**2).
-6*a**3 + 8*a**2 - 2*a
Expand ((j + 1 - 1)*(-1 + 0 + 0) + 0 - j + 0)*(-4*j + 2*j + 3*j).
-2*j**2
Expand l**3 + 0*l**3 + 0*l**3 + (-19*l - 23*l + 5*l)*(2*l**2 - l**2 + 2*l**2).
-110*l**3
Expand (-193 + 33*q**2 + 193)*(-1 + 1 + q).
33*q**3
Expand (-19 + 19 - 3*g)*(1 - 1 - g) + g**2 + 0*g**2 + 0*g**2.
4*g**2
Expand (4 - 2 + 0)*(11*o**2 - 6 + 6)*(-1 + 0 - 1)*(o + 0*o + o).
-88*o**3
Expand (l**2 - 3*l**2 - 16 + 17)*(0*l**3 - l**3 - l**3).
4*l**5 - 2*l**3
Expand -2*d**3 + 2*d**3 - d**5 + 186*d**2 - 186*d**2 - 37*d**5 + (2 - d - 2)*(-6*d**4 + 2*d**4 + 3*d**4) + d**5 - d**5 + d**5.
-36*d**5
Expand -3*x**2 + 2*x**4 + 3*x**2 + (-4*x**2 + 3*x**2 + 0*x**2)*(-2*x**2 - 3*x + 3*x) - x**4 + x**4 - x**4 - 12*x**4 + 3*x**4 + 2*x**4.
-4*x**4
Expand (-r**2 + 6*r**2 - 3*r**2)*(-r + 2*r - 2*r) + 5*r**2 + r**3 + 2*r**3 - 10*r**2.
r**3 - 5*r**2
Expand (j + j**2 - j + (6 - 1 + 0)*(2*j**2 + 0 + 0))*(-5*j**2 + 3*j**2 + 3*j**2).
11*j**4
Expand 4*k**2 - k**2 + 2*k**2 + (-4*k**2 - 3*k**2 + 6*k**2)*(-1 - 1 + 0).
7*k**2
Expand 5 + 4*g**2 - 5 + (-2*g - 2*g + 6*g)*(-3*g + g + 0*g) - 4*g**2 - g**2 + 4*g**2 - 2*g**2 + g**2 - 4*g**2 + 2*g**2 + g**2 - 4*g**2.
-7*g**2
Expand (-1 + 0 + 3)*(-3*f + 3*f - 3*f) - 10 + 2*f + 10.
-4*f
Expand (5*v - 2*v - 4*v)*(-v**4 + 5*v**4 + 0*v**4) - v**5 - 2*v**5 + 4*v**5.
-3*v**5
Expand (-2*h + 5*h + 3*h)*(2*h - 3*h + 3*h) + (3*h - 7*h + 3*h)*(-h + 2*h - 3*h).
14*h**2
Expand (0 - 2 + 1)*(3 - 9 + r + 5).
-r + 1
Expand (9*m - 3*m + 10*m)*(m**3 - 5*m**3 + 5*m**3).
16*m**4
Expand (5*v - 5*v - v)*(1 - 3 + 6) - 2*v + v + 2*v.
-3*v
Expand (0*k - 4*k + 2*k)*(k**2 + 2*k**2 + 0*k**2) + (5*k**3 - 5*k**3 + k**3)*(1 + 1 + 0).
-4*k**3
Expand ((-3*m + 3*m - 2*m)*(2*m - 1 + 1) + 14*m**2 - 9*m + 9*m)*(-3*m**2 + 3*m**2 + 2*m**2).
20*m**4
Expand (1 - 2 + 2)*(-4*s**3 + 2*s**4 + 0*s**3 + 2*s**3).
2*s**4 - 2*s**3
Expand (0*o + 4*o - 2*o)*(-4*o**4 + 3*o**4 - o**4) - 12*o - 10*o - o**5 + 20*o.
-5*o**5 - 2*o
Expand (0 - 3*d + 0)*(-4 + 4 + 4*d)*(3*d**2 + 4*d**2 - 3*d**2).
-48*d**4
Expand (2*z + 0*z + 0*z)*(3 - 3 + 5)*(-3 + 1 - 1).
-30*z
Expand (-x - x + 4*x + 0*x - 2*x + 0*x + (4 - 5 + 2)*(-4*x + x + x))*(4 - 3 - 2).
2*x
Expand -f**2 - 4*f**2 + 0*f**2 + (3*f + 0*f - 5*f)*(-2*f + 0*f + 3*f) - 2*f**2 - 5*f**2 + 2*f**2.
-12*f**2
Expand -y**5 + 3*y**2 - 3*y**2 + (-4*y**3 + 5*y**3 - 3*y**3)*(4*y**2 + 5*y - 5*y).
-9*y**5
Expand (4*d + 2*d - 2*d)*(4 - 2 + 0)*(3 + 1 - 3).
8*d
Expand (-u + 1 - 1)*(4*u + 2 - 3 - 3*u).
-u**2 + u
Expand (-z**5 + 0*z**3 + 0*z**3)*(-3 - 1 + 5) - 25*z**2 + 10*z**5 + 25*z**2 - 2*z**3 - 2*z**5 + 3*z**5 + z**3.
10*z**5 - z**3
Expand (-g + g + 6*g)*(-1 + 1 + 2).
12*g
Expand -q**3 - 3*q**3 + 2*q**3 + q**3 + 3 - 3 + (-3*q**2 - q**2 + 6*q**2)*(q - 1 + 1) + 0*q - 29*q**3 + 0*q.
-28*q**3
Expand (4 - 4 + 2*o)*(-3 + 5 + 3)*(2*o**2 + 4*o**2 - 4*o**2)*(-2*o + 0*o + o).
-20*o**4
Expand (-30 - l**2 - 4*l**2 + 31)*(2*l**2 + 2*l**2 - 3*l**2).
-5*l**4 + l**2
Expand (-32*p - 24*p - 10*p)*(1 - 1 + p**3 + (-p + 2*p + 0*p)*(1 + p**2 - 1)).
-132*p**4
Expand (-3 - 3*a**2 + 3)*(-a**2 + 4*a**2 - a**2) + (2*a**2 - 2*a + 2*a)*(2*a - a**2 - 2*a) - a**4 - 4*a**4 + 3*a**4.
-10*a**4
Expand w - 4*w + 4*w + (-1 + 1 + 2*w)*(-3 + 0 + 1) + 0*w - 3*w + 2*w.
-4*w
Expand (3*q**2 - q**2 - 3*q**2)*(0 + 0 - 4) + 2*q**2 + 0 + 0 + (2*q + 0*q - q)*(2 - 2 - q).
5*q**2
Expand (1 + 0 - 2)*(v - 1 + 1) - 7*v - 6*v - 7*v + (v + 4*v - 4*v)*(1 + 0 - 2) + 3*v - 5*v + v.
-23*v
Expand 2*w - 22*w**3 + 21*w**3 - 2 - 4*w - 3*w**3 - 3*w**3 + 7*w**3 + (0*w + 0*w + w**3)*(-2 + 1 + 3).
2*w**3 - 2*w - 2
Expand (-5 + 2 - 2)*(-q + 2 - 2).
5*q
Expand (2*w**4 + 0*w + 0*w)*(-4*w + 4*w - 2*w) - w**5 + w**5 + w**5 - 2*w**5 - 2*w**5 + 5*w**5.
-2*w**5
Expand ((h**2 - 3 + 3)*(-2*h**2 - h**2 + 2*h**2) + 7*h**4 - 6*h**4 + 7*h**4)*((-2 + 5 - 2)*(-1 + 1 - 1) + 0 + 4 - 6).
-21*h**4
Expand (-v**5 + 0*v + 0*v)*(3 - 35 - 10).
42*v**5
Expand (4*j**4 + 0*j**4 - 3*j**4)*(3 - 3*j + 1 - 3).
-3*j**5 + j**4
Expand (6*a**2 - 6*a**5 - 6*a**2 + (-2*a**2 + 4 - 4)*(2*a + a**3 - 2*a))*(3 - 5 - 3)*(0 + 1 + 1).
80*a**5
Expand 4*u - 2*u - u + (-3*u + 0*u + 2*u)*(0 + 4 - 7)*(1 + 0 - 3).
-5*u
Expand f - f**3 - f + (-5 + 5 + 1)*(5*f**3 - 3*f**3 + 2*f**3).
3*f**3
Expand (-1 + 9 - 2)*(3*h - 4*h + 3*h).
12*h
Expand q**2 - 7*q**4 - 7*q**2 + 4*q**2 + 6*q**4 - q**4 - 3*q**4 + (-q**3 + 0 + 0)*(3*q + 3*q - 5*q) - 2*q**4 + 1 - 1.
-8*q**4 - 2*q**2
Expand -2*x**5 - x**5 + x**5 + (-1 - 3 + 3)*(-2*x**5 - x**5 + x**5) + x**5 - x**2 + x**2.
x**5
Expand (-5 + 0 + 3)*(13*w**4 + 65*w - 65*w) - 4*w**4 + 3*w**4 + 2*w**4.
-25*w**4
Expand 4*d**2 + d**2 - 3*d**2 + (-4*d + 6*d - d)*(5 + 1 + 4)*(2*d + 4 - 4).
22*d**2
Expand (-j**2 + 0 + 0)*(9*j - 9*j + 5*j**2 - 2 + 2 + 4*j**2 + (5 + 2 - 5)*(2*j**2 - 2 + 2)).
-13*j**4
Expand (3 - 2*z - 3)*(12*z**2 + 0*z**2 - 5*z**2).
-14*z**3
Expand ((-2*r - 2*r + 6*r)*(-3 + 4 - 2) + r + 0*r + 2*r - 2 + 2 - 2*r)*(6 - 4 - 3).
r
Expand 3*a + a**4 - 3*a + a**2 + (99*a**3 + 68*a**4 - 99*a**3)*(1 - 2 + 2).
69*a**4 + a**2
Expand (3*j**2 + 0*j**2 + 0*j**2)*(2*j - 3*j + 2*j) + 0*j**3 + j**3 + 0*j**3.
4*j**3
Expand 3*a**3 - 3*a**3 - 2*a**3 + (-2*a + 0 + 0)*(13*a - 6*a**2 - 13*a) - 8*a**3 - a**3 - 2*a**3.
-a**3
Expand ((-i + 4*i - 2*i)*(-2 - 1 + 5)*(-i**2 + i - i) + 0*i**3 - i**3 + 2*i**3)*(-i + i + 4*i).
-4*i**4
Expand (-1 - 5*l**2 + 1)*(l + l**3 - l) - 4*l + 4*l + 3*l**2 + l**5.
-4*l**5 + 3*l**2
Expand (4*q + 2 - 2*q - 3)*(-7*q - 14*q + 8*q).
-26*q**2 + 13*q
Expand -s - 1 + 0*s**2 + 0 - s**2 + (2 + 0 + 0)*(3 + s**2 - 3).
s**2 - s - 1
Expand 0*z**3 - z**3 + 2*z**3 + (1 - 6 + 2)*(0*z**3 - z**3 + 5*z**3).
-11*z**3
Expand (-2*b**4 - 3*b**4 + 6*b**4)*(13 - 18 - 10)*(b - 2*b + 3*b).
-30*b**5
Expand (-1 + 3 - 1)*(-9*z + 378 - 378).
-9*z
Expand (-2*z + 1 - 1)*(3 - 2 + 0) - 38 + 11*z + 38.
9*z
Expand ((1 - 4 + 4)*(-4*a + 2*a + a) + 42 - 8*a - 42)*(0 + 4 - 2).
-18*a
Expand (-2*i + 4*i - 3*i)*(5*i**2 - 4*i**2 + 0*i**2) + 23*i**3 + 71*i**3 + 189*i**3.
282*i**3
Expand 0*g**3 - 4*g**3 + 3*g**3 + (-2 - 2*g**2 + 2)*(g - 4*g + g) - g**2 - 2*g**3 + g**2 - 7*g**3 + 2*g**3 - 3*g**3 + (1 + 4 - 3)*(2*g**3 + 3*g**3 - 6*g**3).
-9*g**3
Expand (2 - 4 - 1)*(q - 2*q + 2*q)*(3*q**2 + q - q).
-9*q**3
Expand (-6 + 3 + 4)*(3*v**3 - 3*v**3 - 2*v**3).
-2*v**3
Expand (j**4 + 0*j**4 + j**4)*(-1 + j + 1) - j**5 + 3*j**5 + 3*j**5 + (j + 3*j - 2*j)*(2*j**4 + 2*j**4 - 6*j**4).
3*j**5
Expand -3*l**2 - 5*l + 3*l**3 + 4*l - 2*l + (0 + 0 + 2*l)*(4 + l**2 - 4) - l + l - l**3.
4*l**3 - 3*l**2 - 3*l
Expand 2*s - s**3 - 2 - 2*s + (-3 + 0 + 1)*(-5*s**3 - s**3 + 2*s**3) - 2*s**3 + 0*s**3 + s**3 + 6*s - 6*s - 3*s**3.
3*s**3 - 2
Expand (-4 - 2*o + 4)*(2 - 5 + 1) + (-2 + 2 - o)*(1 + 0 + 0) + 3*o + 0*o - o + 2*o - 2*o + 2*o.
7*o
Expand (2*j**2 - j**2 + 2*j**2)*(3 + 1 - 5)*(4 - 4 + 3*j).
-9*j**3
Expand -2*m**5 + 4*m**5 + 0*m**5 - 3*m**5 - 3*m**5 + 4*m**5 + (-5*m**3 - m**3 + 0*m**3)*(2*m + 2*m**2 - 2*m).
-12*m**5
Expand (-5 + 1 + 0)*(-y + 4 - 4) + 0*y + 3*y + 0*y.
7*y
Expand -7*b - 11*b + 56*b + (-2 + 4 - 3)*(2*b + 2 - 2).
36*b
Expand (4*p - 5*p + 1 - 1)*(2 - 16 - 7).
21*p
Expand -s**3 + 2*s**3 - 3*s**3 - 3 + 2*s**3 + 3 + (-2*s + 5*s - s)*(0*s**2 - 3*s**2 + 5*s**2) - s**3 - 1 + 1 + 2*s**3 - 6*s**3 + 5*s**3 - 119 + 119 + 6*s**3.
10*s**3
Expand (1 + 3 - 1)*(0 + 3 - 2)*(1 + 2 - 2)*(2*m - 6*m + 2*m).
-6*m
Expand (-1 + 1 - v)*(-3*v - 2*v + 3*v)*(-7*v + 2*v + 2*v)*(-v + 20*v - 2*v).
-102*v**4
Expand -4 + 4 + k + (4 - 2 - 4)*(-4 + 4 + k) - 3*k - 1 + 1 + (-3 + 4 + 1)*(k - 3*k + 3*k) + 2*k + 0*k + 2*k.
2*k
Expand (-7 - 5 + 3)*(h + 0*h + h).
-18*h
Expand (n**2 - n**2 + n**3)*((-4 + 1 + 6)*(2*n | {
"pile_set_name": "DM Mathematics"
} |
h*i**4. Differentiate q(u) wrt u.
3*u**2
Let u = 3 - 0. Suppose 5 = n - 5*q + 12, -4 = -4*n + 4*q. Differentiate 28*b**n + 0 - 34*b**u - 6 wrt b.
-18*b**2
Let b be (-36)/(-126)*14/24. Let t(q) be the second derivative of 0*q**4 + 0*q**2 - b*q**3 - 1/4*q**5 + 0 + 4*q. Find the second derivative of t(p) wrt p.
-30*p
Let y(k) be the third derivative of k**6/5 + 5*k**3 + k**2 - 4. What is the derivative of y(l) wrt l?
72*l**2
Let u be (-1 + (-16)/(-4))/1. Suppose -3*k = -4*i + 2, 2*k + u*i - 4*i - 2 = 0. What is the third derivative of -5*r**2 - 2*r**2 + r**k + r**2 + 2*r**6 wrt r?
240*r**3
Let r(a) = 48*a - 49*a + 0 - 3 + 4. Let p(l) = 29*l**3 - 12*l - 3. Let y(f) = -p(f) - 3*r(f). What is the second derivative of y(n) wrt n?
-174*n
Suppose 2*u - 3*m = 19, 5*m + 18 = 3. Suppose 10*j - 8 = 6*j. What is the second derivative of -d**2 - 9*d**2 - d + u*d**j wrt d?
-10
Let f(r) be the second derivative of -r**6/15 + 26*r**5/5 + 65*r**4/4 - 73*r. What is the third derivative of f(k) wrt k?
-48*k + 624
Suppose 9 = 3*m + 3. Suppose f + 3 = m*f. What is the derivative of -y**2 + 13*y**2 - f - 3*y**2 wrt y?
18*y
Suppose 0*d + 504 = 8*d. What is the second derivative of 6*g + d - 63 - 23*g + 29*g**3 wrt g?
174*g
Let c(p) be the second derivative of 19*p**4/12 - 385*p**3/6 - 174*p. Find the second derivative of c(d) wrt d.
38
Let q be (-116)/(-14) + (-18)/63. Suppose f + q = 5*f. Differentiate -4*o + o - 2*o - f*o - 8 with respect to o.
-7
Let d = 25 - 21. Find the second derivative of -11*u + 5*u - u**d - u - u**4 wrt u.
-24*u**2
Suppose 0 = 19*k - 60 - 35. Let d(a) be the third derivative of -7/60*a**k + 0*a - 2/3*a**3 + 0 + 0*a**4 + 5*a**2. What is the first derivative of d(l) wrt l?
-14*l
Suppose 4*m = 2 + 34. Let p = m + -9. Find the third derivative of p*l + 0*l + 33*l**2 - l**4 - 34*l**2 wrt l.
-24*l
What is the first derivative of -515 + 338 + 285*s**2 + s - s wrt s?
570*s
What is the derivative of -125 - 117 + 285*w + 202*w - 13 wrt w?
487
Find the first derivative of 290 + 50 + 69 + 24*t**3 + 92*t**3 + 19*t**3 wrt t.
405*t**2
Find the third derivative of -9 - 238*d**4 - 6*d**5 + 7 - 314*d**2 + 4 + 8*d**5 wrt d.
120*d**2 - 5712*d
Find the second derivative of 6*b + 108*b**2 - 113 + 86*b**2 + 67 + 62 wrt b.
388
Let w = 6 - 4. Suppose -5*m = -5*b, w*m + b - 24 = -3*m. What is the second derivative of -2*h + 3*h + 2*h**m - 2*h wrt h?
24*h**2
What is the derivative of 154 + 154 - 3*q - 11*q + 160 wrt q?
-14
Differentiate -l**2 - l**3 - 38 - l**2 - 364*l + 348*l + 2*l**2 wrt l.
-3*l**2 - 16
What is the first derivative of 32*g + 2214 - 1142 + 18*g - 1129 wrt g?
50
Let x be 5/1 - (2 - 4). Let v(l) be the first derivative of -l**4 + 5*l + x + 0 - 2*l - 4. What is the derivative of v(u) wrt u?
-12*u**2
Differentiate -55 + 77 - 35*p**4 + 88 wrt p.
-140*p**3
What is the third derivative of -3*t**2 - 69*t + t**2 - 4581*t**3 + 3923*t**3 wrt t?
-3948
Let a(j) be the third derivative of 49*j**5/30 + j**4/8 + j**3 - 55*j**2 - 2. Find the second derivative of a(u) wrt u.
196
Let t(p) be the second derivative of 0*p**4 + 0*p**5 + 0 - 8*p - 17/30*p**6 + 0*p**3 - 19/2*p**2. What is the first derivative of t(o) wrt o?
-68*o**3
What is the second derivative of -4141*n + 20*n**4 - 1 + 4196*n + 2*n**2 - 2*n**2 wrt n?
240*n**2
Let x(v) = 3*v**2 + 2*v + 7. Let g(f) = 10*f**2 + 7*f + 21. Suppose 3 = -4*m + m. Let z = m - -3. Let s(u) = z*g(u) - 7*x(u). Differentiate s(q) wrt q.
-2*q
Let j(s) be the second derivative of -37*s**4/12 - s**3/6 + 43*s**2 + 18*s - 2. Find the second derivative of j(t) wrt t.
-74
Suppose 5*i - 26 = -2*o, i - 4*o + o - 12 = 0. Suppose -5 = -i*m + 5*m. Find the second derivative of -h**5 + 23*h - 12*h - 2*h**m wrt h.
-60*h**3
Let t(f) be the second derivative of -f**4/4 + 13*f**3/6 - 25*f**2 - 87*f. What is the derivative of t(k) wrt k?
-6*k + 13
Find the second derivative of 30804*u**2 - 15 - 30804*u**2 - 25*u**3 + 45*u**3 - 18*u + 50*u**3 wrt u.
420*u
What is the third derivative of 49*f**2 + 96*f**3 - 43*f**2 - 32*f**2 wrt f?
576
Let j(z) = -18*z + 4. Let d(p) = -17*p + 3. Let i(b) = -6*d(b) + 5*j(b). Let n(l) = l. Let v(q) = 2*i(q) - 14*n(q). Find the first derivative of v(k) wrt k.
10
What is the third derivative of -140*v + 3*v**2 + 0*v**2 + 146*v + 19*v**3 wrt v?
114
Let s(d) be the third derivative of -43*d**7/70 - d**4/3 + d**3/3 + 5*d**2 + 15*d. Find the second derivative of s(k) wrt k.
-1548*k**2
Let h(c) be the first derivative of -7/3*c**6 + 3 - 4*c**3 + 0*c**4 + 0*c + 0*c**5 + 0*c**2. What is the third derivative of h(v) wrt v?
-840*v**2
Let d(q) = q - 1. Let i(g) = 6*g - 7. Suppose 4*z - b + 4*b = 9, 0 = -4*z - 4*b + 8. Let w(n) = z*d(n) - i(n). Differentiate w(y) with respect to y.
-3
Let d = 68 - 68. Let r(c) be the first derivative of -11/4*c**4 - 6 + 0*c**2 - 8/3*c**3 + d*c. Find the third derivative of r(u) wrt u.
-66
Let z(w) = 2*w**2 + 2*w - 6. Let l be z(-4). Find the third derivative of -2*y**2 + 12*y**3 + 4*y**2 - l*y**2 wrt y.
72
Let c(t) = -32*t**2 - 28*t - 368. Let a(q) = -10*q**2 - 9*q - 123. Let r(m) = -7*a(m) + 2*c(m). Find the first derivative of r(z) wrt z.
12*z + 7
Let t(m) be the third derivative of -1/30*m**5 + 16*m**2 - 2*m + 0 + 5/12*m**4 - 19/3*m**3. Find the first derivative of t(h) wrt h.
-4*h + 10
Find the second derivative of -469*h + 80*h**4 + 144*h + 63*h**4 - 33*h**4 wrt h.
1320*h**2
Let q(b) = 20*b**3 + b**2 - 2*b + 1. Let m be q(1). Suppose 0 = -4*k + 2*k + m. Find the third derivative of -5*l**6 + k*l**6 - l**2 + l**6 wrt l.
720*l**3
Suppose -a = 5*v - 31, 2*a - 3*v - 2 + 5 = 0. Find the third derivative of 7*m**6 + a*m**2 - 14*m**6 - 14*m**2 wrt m.
-840*m**3
Find the second derivative of -13*z**4 - 736*z + 283*z + 11*z**4 - 120*z**2 wrt z.
-24*z**2 - 240
What is the derivative of 5*i - 136 + 10*i**4 - 11 - 4*i + 13*i**4 wrt i?
92*i**3 + 1
Suppose -4*h + v = -12, -2*h = -0*h + 3*v - 6. What is the second derivative of -h*i**4 - 5*i**4 - 9*i + 0*i**4 - 4*i**4 wrt i?
-144*i**2
Let i(v) be the first derivative of -13*v**7 + 2*v**3/3 - v + 28. What is the third derivative of i(p) wrt p?
-10920*p**3
Let m be 1 + 3 + 1 + -3. What is the third derivative of -72*p**2 + 74*p**m + p**6 - 10*p**6 wrt p?
-1080*p**3
Suppose -4*h = -5*z - 31, 4*h + 3*z = -0*h + 7. Differentiate -17*x**h - 1769*x**2 + 1769*x**2 - 17 wrt x.
-68*x**3
Let h = -41 + 13. Let f be 18/8 - (-7)/h. Find the first derivative of -8 + 6*q - f + 0 + 1 wrt q.
6
Suppose -60 + 15 = 5*f. Let w(v) = -14*v + 5. Let j be w(f). What is the third derivative of 7*x**3 - j + 131 - 2*x**2 + 9*x**2 wrt x?
42
Let v(q) be the second derivative of 14*q**3 + 97*q**2 + 29*q. Let s(t) = -17*t - 39. Let z(k) = -11*s(k) - 2*v(k). What is the first derivative of z(l) wrt l?
19
What is the derivative of 42 + 43*v**2 + 75 + 10*v - 10*v wrt v?
86*v
Let h(i) be the first derivative of 3*i**4/4 - 5*i**3/3 - i**2/2 + 76*i - 295. What is the second derivative of h(n) wrt n?
18*n - 10
Let s be 6 - -8 - 6/2. Suppose 2*h - s + 3 = 0. Find the second derivative of 5*f + 2*f**4 - 6*f**h + f - f wrt f.
-48*f**2
Let a(x) be the second derivative of 5*x + 0*x**5 + 0 - 7/10*x**6 + 5/6*x**3 + 0*x**2 + 0*x**4. What is the second derivative of a(m) wrt m?
-252*m**2
Find the third derivative of 60048*a**5 + 7*a**2 - 6*a**6 + 3*a**4 - 60048*a**5 wrt a.
-720*a**3 + 72*a
Let p be (-22)/(-6) + (-3)/(-9). Differentiate 31 + 4*q**4 - 17*q**p - 18 with respect to q.
-52*q**3
Let n = -18 + 20. What is the second derivative of 11*a**2 - 6*a**n - 3*a**2 - 3*a + 13*a**2 wrt a?
30
Suppose -25 + 31 = -m. Let s(r) = 17*r**3 + 6*r**2 + 4*r + 6. Let b(k) = -k**3 - k**2 - 1. Let o(v) = m*b(v) - s(v). Find the second derivative of o(t) wrt t.
-66*t
Let s(b) = b**3 + 6*b + 6. Let w(r) = r - 1. Let z(l) = -s(l) + 6*w(l). Let i(f) = 1. Let t(h) = -4*i(h) - z(h). Find the first derivative of t(j) wrt j.
3*j**2
Let p(c) be the first derivative of 699*c**2/2 + 441*c - 192. What is the derivative of p(t) wrt t?
699
Let b(p) be the first derivative of 2*p**5/5 - 119*p**2/2 - 47*p - 363. Differentiate b(j) with respect to j.
8*j**3 - 119
Let j(p) be the first derivative of -23*p**4/4 + p**2/2 - 28*p + 55. Differentiate j(n) wrt n.
-69*n**2 + 1
Let w(x) = -5*x - 47. Let q be w(-10). Find the second derivative | {
"pile_set_name": "DM Mathematics"
} |
- 10 for y.
-2
Suppose 3*w - 2 = 2*a, w + 4*a = 6*w - 2. Solve s + s = w for s.
1
Let j be ((-15)/(-10))/((-2)/(-4)). Solve 10 = -2*z - j*z for z.
-2
Suppose -1 = x + 2*p - 0*p, 4*x - 16 = -4*p. Suppose -3*r = -v + 6 + 2, -5*v + 1 = -2*r. Let d be (0/v)/(0 - -2). Solve 3*k = -d*k - x for k.
-3
Suppose 39 = 4*h - 1. Suppose -29*d + h = -24*d. Solve 2 = -d*m + 8 for m.
3
Let d(a) be the third derivative of a**4/24 - a**3/3 - a**2. Let x(m) = -m**2 + 11*m - 13. Let q be x(9). Let f be d(q). Solve f*p = p - 2 for p.
-1
Suppose -2*d - 2*d = 0. Suppose d = -o - 0*o + 3. Solve 0 = -o*g - 0*g - 9 for g.
-3
Let p(q) = q**2 - 6*q + 5. Let u be p(5). Suppose 20 = 5*v - u. Solve v*k = 6*k + 8 for k.
-4
Suppose 0*x - 57 = -3*x. Suppose x*f + 4 = 20*f. Solve 0 = f*v - v for v.
0
Let l be 3 + ((-10)/(-5) - -3). Solve -3*j + j + l = 0 for j.
4
Let v be (2/(-4)*0)/(-1). Suppose 2*w + v*w = 4. Suppose -5*y + 0 + 30 = 0. Solve y = -2*n + w for n.
-2
Let l(k) = k**3 - 5*k**2 - k + 5. Let o be l(5). Solve -4*q + 4 + 4 = o for q.
2
Let m be (3 - -1) + -4 + 2. Solve -m*n - 6 - 4 = 0 for n.
-5
Let z(c) = c**2 - 9*c + 11. Suppose -15 = x - o + 4, -3*x + o = 51. Let t = 24 + x. Let r be z(t). Solve 0 + 12 = -r*p for p.
-4
Let z(k) = -3 + 0*k + 0*k + k. Let d be z(9). Solve d = -4*t + 6*t for t.
3
Let i = 25 + -22. Solve 2 = f + i for f.
-1
Let w = 4 - 1. Let s = -9 - -14. Suppose 0 = 4*m - s*m + 2. Solve m*x - w = -1 for x.
1
Suppose -4*t = t. Suppose g - 6*g + 80 = t. Let n be (6/4 + -2)*0. Solve g + n = 4*y for y.
4
Suppose 38 = -2*d + 46. Solve -2*q = d - 2 for q.
-1
Let m(z) = z**3 - 3*z**2 + z + 1. Let j be m(2). Let i be (19 - j)*(-8)/(-32). Solve i*o = o for o.
0
Let f be 10*(21/(-6))/(-7). Solve 2*m + 1 = f for m.
2
Let a(j) = -2*j**2 - 5*j + 3 - 3*j**3 - 4 + 8*j - 5*j. Let c be a(-1). Solve 0*b - c*b = -8 for b.
4
Let w(r) = 5*r**2 + 7*r. Let p(g) = -g - 9. Let c be p(-10). Let q(m) = -m**3 - m**2 - m. Let k(a) = c*q(a) + w(a). Let u be k(5). Solve u*s = -0*s for s.
0
Suppose 9 = 2*w - t, 3*t = -w + 5 + 10. Let d = 8 - 3. Suppose s = d*u - 8, -5*u - s - s = -14. Solve 4*m - w = u for m.
2
Let u = -2 + 2. Let q = u + -1. Let l = 3 + q. Solve 2*a = 6 + l for a.
4
Let r be (12/(-24))/((-1)/(-8)*-2). Solve -2*i - 6 = r for i.
-4
Let j(f) be the first derivative of f**4/4 - 2*f**3 - 7*f**2/2 + 5. Let y be j(7). Solve m = -y - 4 for m.
-4
Let r = -69 + 84. Solve y + 2*y = -r for y.
-5
Let v = 31 + -27. Solve -2*w + v*w = -4 for w.
-2
Let i = 1 + 1. Let j be (1 - i)*(-4 - 1). Solve 0*z = -j*z for z.
0
Suppose -3*o = 5*j - 43, 0*j - 5*o = -4*j + 27. Solve -2*u + j = -4*u for u.
-4
Let p(g) = -g**3 - 13*g**2 - 11*g + 14. Let x be p(-12). Solve 4*s = x*s for s.
0
Suppose -5*y = -34 + 14. Solve 0 - y = q for q.
-4
Let l = -14 + 20. Suppose -o + l*o = 20. Solve -o*f = 1 + 3 for f.
-1
Let c = -2 - 4. Let q(s) = s + 8. Let g be q(c). Solve g*d - 5 = 1 for d.
3
Suppose -208 = -5*v - 4*h, 69 + 53 = 3*v + h. Let f be (-12)/(-5)*v/6. Solve 0 = -5*p - 1 + f for p.
3
Let n be (-1)/3 - (-24)/(-9). Let w be ((-7)/(-2))/(n/(-6)). Solve w*o = 2*o for o.
0
Let w(c) = 3*c - 2. Let d be w(1). Solve -d = s - 0 for s.
-1
Let k(j) = j - 4. Let l be k(8). Let y be l + (-1 - (3 - 0)). Solve y*q - 4*q = 0 for q.
0
Let q(m) = 3*m**3 - 9*m**2 - 4*m. Let p(t) = -2*t**3 + 5*t**2 + 2*t. Let i(j) = 5*p(j) + 3*q(j). Let b be i(-2). Solve 0 = 2*u - b*u for u.
0
Let w = -11 - -22. Let h = 15 - w. Solve -3*i = -4*i - h for i.
-4
Let w(n) = n - 4. Let i(j) = 2*j - 8. Let v(y) = 6*i(y) - 11*w(y). Let x be v(6). Let f be (-120)/5*2/(-4). Solve 0 = a + x*a + f for a.
-4
Suppose -2*s = -5*s. Suppose s = -j + 13. Solve 7 = 5*z - j for z.
4
Suppose 16 + 0 = 4*c. Solve c*h + 9 = -3 for h.
-3
Suppose -f + 30 = -5*s + f, 0 = 4*s + 4*f + 24. Let c(h) = -h + 6. Let v be c(s). Solve -4*p + 8 = -v for p.
5
Let n = -5 + 9. Let u be -10*((-9)/(-3) - n). Solve 0*a - 2*a + u = 0 for a.
5
Let f = 15 + -4. Suppose -3 = r - f. Solve 0 = 3*i - 4 - r for i.
4
Let p be ((-6)/12)/((-1)/38). Suppose -4 = h - p. Solve x = -4*x - h for x.
-3
Let d be (-13)/((-65)/10) - (1 + -1). Solve 10 - 2 = d*a for a.
4
Let n = 52 - 48. Solve 0 = -n*z + z for z.
0
Let f = -58 - -64. Solve 3 = -3*w - f for w.
-3
Suppose 5*p - 33 + 3 = -2*u, -16 = -4*u + p. Suppose 0 = q - 6*d + 4*d - 12, -33 = -4*q + u*d. Solve -2 = m + q for m.
-4
Suppose 3*j = 8*j - 75. Let b = j + -11. Suppose -2*q = 2*q - 96. Solve b*c = 4 - q for c.
-5
Let y = 2 + 3. Let c(a) = -a**2 + 8*a. Let l be c(y). Solve l = 4*d - 5 for d.
5
Suppose -4*r + 4 = s - 14, s + 6 = 2*r. Suppose s*n + 5 = -f + 1, 2*n - 4*f = 16. Solve n*b = 2*b - 8 for b.
4
Suppose 4*d - 1 = 4*l - 9, 2*l = 3*d + 1. Let g be -6*(5 + 14/(-3) + -1). Solve -p = -l*p - g for p.
-1
Let x be (9/(-5))/(12/(-40)). Suppose 2*a + x = 5*a. Solve 7*r = a*r for r.
0
Let u(x) = x**2 + 10*x + 9. Let a be u(-9). Solve -5*v + a*v - 5 = 0 for v.
-1
Let v(k) = 2*k**2 - 11*k + 14. Let g be v(6). Solve -4*j + g = 4 for j.
4
Suppose s = 2*j - 2, -j = -s - s - 4. Let b be (-3)/(-18) + (-2)/12. Solve b = -j*y + 5*y - 20 for y.
4
Let u be 0 + (-3)/(-6)*4. Suppose -3*g + 7*g - 8 = 4*s, g + 2*s = u. Solve g*d + 2*d = 16 for d.
4
Let c(r) = -r**3 - r**2 - r - 3. Let h be c(0). Let q = -1 - h. Suppose 5*t - 58 - q = 0. Solve -5*u = -u + t for u.
-3
Let l = 6 - 4. Let i(m) = m**2 + 3*m - 1. Let a be i(l). Let g(f) = -f + 20. Let b be g(14). Solve -5*x - b = a for x.
-3
Suppose -a = 29 - 31. Solve -a*z = z - 12 for z.
4
Let p(v) = -v**2 - v + 5. Suppose 4*a - 5*l = 4, -5*a - 51 = 5*l - 11. Let x be p(a). Let z = x + 11. Solve 0 = -3*d - d + z for d.
1
Let r be 30/(-4)*(-4)/6. Let m = r - 5. Suppose m = n - 4*n. Solve 2 = -2*w - n*w for w.
-1
Let j(k) = -k**3 - 5*k**2 - k + 2. Let w be j(-5). Let m = -4 + w. Solve -m*y = -2*y for y.
0
Suppose -j = 5*a - 31, 3 = a - 2. Let w = -3 + j. Solve -2*u - 1 = -w for u.
1
Let b be 1*-2*(2 - 3). Suppose -2*t + 8 = 4*l, 0 = -b*t + 6*t + 2*l - 10. Suppose 5 = 3*a - 2*u, -t*a - 2*u - 4 = -7*u. Solve 0 = -v + a*v - 4 for v.
2
Let u be 9/(-2)*(-4)/3. Let v(r) = -4*r**2 - 6*r. Let k(w) = -w**2 + 1. Let d(m) = -3*k(m) + v(m). Let f be d(-5). Solve f*y + u + 2 = 0 for y.
-4
Let w = 1 + -1. Let v = 13 - 26. Let t = v - -21. Solve 5*g - t + 33 = w for g.
-5
Let y(f) be the third derivative of f**5/60 + f**4/4 + f**3/3 - f**2. Let h be y(-6). Solve h*l - 7 = 1 for l.
4
Let j(x) = x. Let g(s) = 4. Let l(w) = g(w) + j(w). Let c be l(-5). Let d be (c - -3)*(-5)/(-2). Solve -d + 0 = -u for u.
5
Let c = 0 - -2. Solve -c*d + d = -3 for d.
3
Suppose 3*f - 6 + 0 = 0. Let i = f + -2. Suppose i = -5*w + 11 + 19. Solve w = 5*m - 3*m for m.
3
Suppose -2 = 9*i - 20. Solve -b - 1 - i = 0 for b.
-3
Let k(w) = w**3 - 4*w**2 + 2*w. Let h be k(3). Let m be -2 + 1 + (2 - h). Let d = m - 0. Solve 0 = -0*v + v + d for v.
-4
Suppose 4*v = -2*o, 8 - 3 = 2*o - v. Solve 3*d = o*d for d.
0
Suppose -5*b + 7 = -8. Solve b*x - 2*x - 5 = 0 for x.
5
Let a(v) = v**3 + 5*v**2 + 5*v + 3. Let s be a(-5). Let x be (-15)/(-2)*s/(-33). Solve 2*y - x*y = 9 for y.
-3
Suppose -g + 19 = -4*d + 2, -2*g + 2*d = -46. Solve t = -4*t + g for t.
5
Let y = 25 - 13. Suppose 3*i - y + 0 = 0. Solve 2*n = n - i for n.
-4
Suppose -2*g + 125 = 3*g. Suppose 0 = g*p - 26*p + 7. Solve p*f = 2*f + 20 for f.
4
Let g = -50 + 53. Solve g*m - 7*m + 4 = 0 for m.
1
Suppose -6 = -4*q - 3*z - 0, -3*q = z - 7. Solve 2*v - 15 = -q*v for v.
3
Let x = 15 + -4. Let n = -6 + x. Suppose -5*y + n*d + 5 = 0, 5*d - d - 8 = 0. Solve -7 = -v - y for v.
4
Let o(h) = 2*h - 1. Let q be o(3). Solve 3 = q*g + 13 for g.
-2
Suppose 5*v - 2*m = 121, 0*m - 98 = -4*v + m. Let k(g) = g**3 - g**2 - 3*g - 3. Let z be k(3). Solve s + v = z*s for s.
5
Let h(x) = -2*x. Suppose 2 + 4 = -v. Let s be h(v). Solve -5*b + 8 = -s for b.
4
Suppose -2 = -2*l - 0. Solve -f + 6 = l for f.
5
Let p = 35 + -33. Solve 0 = -2*q - p - 6 for q.
-4
Let d(n) = -n**2 - 10*n - 7. Let r be d(-9). Let y(z) = 3*z**2 - 3*z + 2. Let j be y(r). Solve 7 = -3*k - j for k.
-5
Suppose 44*r - 41*r = 6. Solve -r*k = -k - 1 for k.
1
Suppose -4*t - 9 = 7. Let h(b) = b**3 + 5*b**2 + 4*b. Let d be h(t). Solve d = -3*m - 0*m - 3 for m.
-1
Suppose 4*h = 3*h + 8. Let g(l) = 9 + l**3 - 6*l + 9*l**2 - 3*l**2 + 0*l**2. Let k be g(-7). Solve | {
"pile_set_name": "DM Mathematics"
} |
/3, -1/4, -4?
1/3
Let n = 64416/7 + -9202. What is the closest to 1 in 4, n, -3, -28?
n
Let g = 83 + -41. Let t = g - 42.01. Let q be 7 + 100/(-12) - 2/(-6). What is the closest to q in -3, 5, t?
t
Let j be (-18)/27 - (-133574)/(-132). Let x = j - -1013. Let r = 67/110 - x. Which is the nearest to r? (a) 2/5 (b) -1 (c) -0.3
a
Let x = -60109 - -60066. Let q = -0.7 + 0.2. What is the closest to -1/4 in q, x, 5?
q
Let h = 149 - 149. Let k be (0 + h)/((0 + -8)/(-8)). What is the nearest to -1 in 2/21, 8/11, k?
k
Let u = -30 - -38. Let n(y) = -6*y**2 + 13*y**2 + 4*y + 5 - u*y**2. Let l be n(4). Which is the nearest to 0.1? (a) -1 (b) 12 (c) l
a
Let w = 1.647 - 1.947. What is the nearest to 2/25 in -5, 0.3, w, -12/7?
0.3
Suppose 2*k + 10 = -f, -4*f - 6 - 7 = -k. Which is the nearest to 1.7? (a) -6/11 (b) -1 (c) k (d) -4
a
Let k = 56.3 + -55.3. Which is the nearest to k? (a) -271 (b) 0 (c) -1/5
b
Let m = -1.99 + -0.01. Let u = 8104.6 - 7402. Let t = 703 - u. What is the closest to m in -5, 5, t?
t
Let q = 6074 + -6073. Which is the nearest to 23? (a) -3 (b) 4/11 (c) q (d) -0.2
c
Let v = 0.756296 + -0.356296. Let r be 2/(-6) - 10/24. What is the nearest to 0 in r, -4, -3, v?
v
Let h = 0.02 + 3.98. Let i = 72.1 + -72. Which is the closest to i? (a) -1 (b) h (c) 0
c
Let i(s) = -124*s + 373. Let r be i(3). What is the nearest to r in 0.2, 3/7, -3/26?
3/7
Let m(h) = 20*h - 3*h**2 - 161 + 145 + h**2. Let j be m(9). Which is the nearest to 1? (a) -2/3 (b) j (c) -6/13
b
Let u = 4671 - 4676. What is the closest to 6/7 in 5, -4, 39, u?
5
Let y = 2.101 + 0.899. Let f = -1.13 - -5.13. What is the nearest to 1 in 0.5, y, f, 5?
0.5
Let o = 2/819 + -4936/9009. Which is the closest to 2/5? (a) o (b) 8/7 (c) -1
b
Let y = -1211.32 + 1247. Let s = -35.6 + y. Which is the closest to -0.1? (a) s (b) -3 (c) 0.3
a
Let m = 1.57 - 1.37. Let d = 15 + -9. Let z = d + -3. Which is the nearest to 2? (a) -0.4 (b) z (c) m
b
Let p be ((-1)/12)/(1 - (-14)/(-8)). What is the nearest to p in 2, 0.5, -21, 2/9?
2/9
Let x be 41 - 53 - 3/(-1)*16/6. Which is the closest to -0.3? (a) 0.4 (b) -0.7 (c) x (d) -0.05
d
Let p(s) = -19*s - 317. Let o be p(-17). What is the nearest to 1/2 in 6.3, 1/2, o?
1/2
Let x = -63 - -63.5. Let j = 3.16 - 0.76. Let c = j + -3.4. What is the nearest to c in x, 0, 5/6?
0
Let k = 174.91 + -176. Let x = k + 1.09. Let g = -12.9 - -12.1. Which is the closest to x? (a) 2/11 (b) -0.3 (c) g
a
Let r = 1.3485 + -2.2305. What is the closest to r in -0.3, 4, -0.1?
-0.3
Suppose 6*t + 9 = 3*t, -66 = -3*s + 4*t. Suppose 0 = 4*j - 5*m + 25, -5*j - 5*m + s + 7 = 0. What is the closest to -10 in 0.3, -2, j?
-2
Let a be (-1090)/(-1744)*2/5. What is the nearest to 2/5 in 0.13, a, 2/5?
2/5
Let n = -0.01042 - 0.08958. Which is the closest to -0.2? (a) n (b) -5/4 (c) -0.2 (d) -8.7
c
Suppose 3 - 11 = -3*r - b, r = -4*b + 10. Suppose -r*l = 4 - 6. Let i = -28.8 - -29. What is the closest to l in i, 2, 4/5?
4/5
Let v be ((-6)/4)/(3/(-4)). Let q be 32/84 - ((-8)/(-3))/4. Which is the closest to 0.1? (a) q (b) v (c) 4
a
Let j be (-2)/11 + 370/220. Which is the nearest to -1? (a) -4/3 (b) j (c) 2 (d) 4/3
a
Let t = 199 - 198.897. Let u = t - -70.897. Let q = 70.9 - u. What is the nearest to -0.1 in -5, q, 0.02?
q
Let y = 196 - 195.896. Let h = -0.896 - y. Which is the nearest to h? (a) 2/27 (b) 0.4 (c) -2/3
c
Let s = -3.1 + 3. Let y = -25.9 + 20.9. Let q = 3.1 - 2.6. Which is the nearest to s? (a) q (b) -2/7 (c) y
b
Let x be -3 + 2/(-21) + (-1346)/(-462). Which is the nearest to -2? (a) x (b) -2/9 (c) -2 (d) -17
c
Let s be -6*4/(-24)*(-1 + 0). Let o = 15 + -11.1. Let l = o - -0.1. Which is the nearest to s? (a) l (b) -1 (c) 0.1
b
Let x = -5 - -7. Let r = -9675 - -9680. What is the nearest to x in r, 0.4, -0.5?
0.4
Let c be 1/((-8)/24) + (-7)/(-1). Suppose -4*q + 5*l + 45 = -0*l, c*l + 45 = 5*q. What is the closest to -1 in q, 6, -4?
-4
Let n(v) = -2*v**3 - 4*v**2 - 15*v - 29. Let h be n(-2). Let l = -2 - -2. Which is the closest to h? (a) -0.4 (b) l (c) 5
b
Let s = -34151 + 34148. Let m be (-399)/35 - 4/(-10). Which is the closest to 2? (a) s (b) -2/17 (c) m
b
Let f = 1.41963 - 1.41963. Let h = -7 + 4. Which is the closest to -1/2? (a) h (b) f (c) 32/7
b
Let l = -0.36589 - -0.66589. Let v = 6 - 11. What is the nearest to 0 in l, -0.4, v?
l
Let t = -25.01584 - -0.01584. Let r = -0.0547 - 24.8453. Let p = r - t. What is the nearest to 0.1 in -4/5, -1, p?
p
Let l = 13187/99 - 1464/11. Let v = -2/101 - 95/303. Which is the nearest to 1? (a) 1 (b) l (c) v
a
Let x = -1171 - -542. Let h = x - -628.6. Let u = -1 - -1.1. Which is the closest to u? (a) 2 (b) -2 (c) h
c
Let z = 0.1 - 0.17. Let j = 150.2 - 150. What is the nearest to 1/4 in z, 4, j?
j
Suppose 0 = 336*r - 57*r - 558. Let g = 0 - -1. Which is the nearest to r? (a) -4 (b) -2/7 (c) g
c
Let l(x) = x - 116. Let g be l(0). Let w = -467/4 - g. Let z = 247.7 - 248. Which is the closest to w? (a) z (b) -0.4 (c) -2
b
Let h = -64 + 449/7. Let a = 0.24684 - 0.44684. What is the nearest to h in 1/4, a, -0.7?
1/4
Let t = -51891/5 - -10378. Let r be (-27)/33 - (-2 - -1). Which is the closest to t? (a) r (b) -5 (c) 4
a
Let u = 362 + -385. Let v = 113/5 + u. Let s be ((-2)/18)/((-2)/12). Which is the nearest to -3/8? (a) -5 (b) v (c) s
b
Let u = -0.19711 + 3.19711. Which is the closest to u? (a) -3 (b) 1/12 (c) -2/13
b
Let o = -1222.4897 + 1223. Let a = -0.0103 + o. What is the nearest to -4 in 0.2, -1/2, 1/4, a?
-1/2
Let z = -2 - -6. Let w = 10314 - 10308. Which is the nearest to -10? (a) w (b) 0.4 (c) z
b
Suppose 33*m - 5 = 5*k + 28*m, -m - 1 = -2*k. Which is the nearest to 3? (a) -1/5 (b) 4/7 (c) -2/7 (d) k
d
Suppose 4*m - 3*q = -q - 62, 1 = q. Let n be (-6)/(-9) - (-4)/m. Let x = 1677 + -3353/2. Which is the nearest to n? (a) x (b) -2/3 (c) -2
a
Let t = -0.1 + 8.1. Let o = -0.0413 + -0.1587. Let k = 120/13 + -973/104. What is the nearest to -1 in o, t, k?
o
Let l = 46926 + -46926. Let i = 7.2 - 7. Which is the nearest to l? (a) 1/4 (b) 5 (c) -4 (d) i
d
Let p be (-16874)/858 - -4*5. Let d be 4/(-10)*(-2)/4. Which is the closest to 2? (a) 54 (b) d (c) p
c
Suppose -11*p + p = 110. Let i = p - -43/4. Which is the nearest to 0? (a) -1/2 (b) i (c) -0.2
c
Let c = 15.4 + -15.3. Let f = 0.105 - -0.195. What is the nearest to 1 in c, 1/5, f?
f
Suppose 8*s + 836 = 844. Let m be (3/9)/((-3)/45). Which is the closest to s? (a) -2/3 (b) m (c) -0.35
c
Let p = 1793 + -5378/3. What is the closest to 0.5 in p, 4, 0.6, 5?
0.6
Let l = 278 - 277.7. What is the nearest to l in -1, -0.5, -0.058?
-0.058
Let f be (-6 - 60/(-9))/(2/(-48)). Let z be -5*f/(-120) + (-4)/3. Which is the closest to z? (a) -2/3 (b) 0.4 (c) 1/8
a
Let n = 6 + -5. Let g be (2 + -3)/(n*-1). Let d be (-44)/16 - 2380/(-784). Which is the nearest to g? (a) 4 (b) d (c) 0
b
Let n = 177 - 169. Suppose 0 = 7*k - 3*k + n. Let v = -0.2 - -4.2. Which is the closest to 0.03? (a) v (b) 2/7 (c) k
b
Let n = 116 + -113. Let j = -945 + 945.1. What is the nearest to -2/5 in n, j, -0.8, 1?
-0.8
Let q be 6/9 + 8/(-21). Let a = -32.816 + 33.216. What is the nearest to q in a, -8/5, -2?
a
Let d = 468 + -443. Which is the closest to -0.3? (a) -2/5 (b) d (c) 1/2
a
Let p = -17 + 19.4. Let i = 2.5 - p. Let q = 2.53 - 2.13. Which is the nearest to i? (a) q (b) 1/4 (c) 1/9
c
Let f = -0.91 + 0.61. Which is the nearest to 1? (a) f (b) -5 (c) 0 (d) -10
c
Suppose 11 = u - 4*k, -4*k - 78 + 45 = -3*u. What is the closest to u in -3, -2, 35?
-2
Let i = -0.3164 + 0.0164. Let g = -89 - -86. Which is the closest to g? (a) -5 (b) i (c) 3
a
Let r = 348 - 232. Let q = r - 116.1. What is the nearest to -1 in q, -0.5, 37?
-0.5
Let m = -9/4 - -2. Let q be ((-2)/(-50))/(((-112)/364)/(310/(-403))). What is the nearest to m in q, 3, -5/4, -0.5?
-0.5
Let j = -1888.23 - -1896.23. Suppose -27 = 4*u + 3*y, -2*u - 5 = -4*y + 3. What is the closest to 0.1 in 0.3, u, j, -3?
0.3
Let o = -1167088/2805 + 7061/17. Let x = o - -3/55. Let l = -0.2 - -0.3. Which is the closest to x? (a) l (b) -5 (c) 1
a
Let v = 13022 + -13117.892. Let s = 0.708 - v. Let z = 97 - s. Which is the closest to -1? (a) 4 (b) z (c) -5
b
| {
"pile_set_name": "DM Mathematics"
} |
without replacement from qvfvvvjffvjjfvjj?
1/8
Two letters picked without replacement from iltixfitltl. What is prob of sequence it?
9/110
Three letters picked without replacement from {l: 1, w: 1, b: 4, k: 2, z: 1}. Give prob of sequence kbw.
1/63
Three letters picked without replacement from pypttyatpttyblty. Give prob of sequence yya.
1/280
Three letters picked without replacement from hhhhhshhhhhhhhhhhhss. Give prob of sequence ssh.
17/1140
Calculate prob of sequence vh when two letters picked without replacement from vfhfhffw.
1/28
Three letters picked without replacement from {n: 3, h: 2, j: 3, w: 1, u: 1}. Give prob of sequence uhj.
1/120
What is prob of sequence uoy when three letters picked without replacement from {y: 3, u: 2, o: 3}?
3/56
Calculate prob of sequence wwwv when four letters picked without replacement from {v: 2, p: 2, w: 3, e: 6}.
1/1430
What is prob of sequence mr when two letters picked without replacement from {x: 4, h: 4, r: 2, m: 4}?
4/91
Three letters picked without replacement from {e: 2, y: 1, l: 2, t: 4, o: 1}. Give prob of sequence ttl.
1/30
Four letters picked without replacement from {j: 4, m: 6, d: 5}. Give prob of sequence djjm.
1/91
Two letters picked without replacement from {j: 2, z: 1, m: 5, s: 1}. Give prob of sequence jm.
5/36
What is prob of sequence mdm when three letters picked without replacement from {i: 3, d: 3, k: 6, m: 5}?
1/68
Two letters picked without replacement from {i: 2, b: 1, o: 1, p: 3}. Give prob of sequence pi.
1/7
Calculate prob of sequence hm when two letters picked without replacement from kqkqhm.
1/30
Three letters picked without replacement from oqonoqqilooo. Give prob of sequence qoi.
3/220
Calculate prob of sequence xf when two letters picked without replacement from xfu.
1/6
Calculate prob of sequence iir when three letters picked without replacement from innnmininnrn.
1/220
Calculate prob of sequence oa when two letters picked without replacement from nonnrnoarjoaoonroa.
1/17
Three letters picked without replacement from {h: 4, v: 3}. What is prob of sequence vhh?
6/35
Calculate prob of sequence wu when two letters picked without replacement from {u: 1, t: 2, w: 2, j: 1, c: 1}.
1/21
What is prob of sequence ss when two letters picked without replacement from zssssszz?
5/14
What is prob of sequence uccb when four letters picked without replacement from cubbuuucuuucdbudu?
27/9520
What is prob of sequence azaz when four letters picked without replacement from azazazz?
3/35
Calculate prob of sequence hv when two letters picked without replacement from hvhhvvvvhh.
5/18
Calculate prob of sequence rooo when four letters picked without replacement from {o: 5, m: 1, r: 12}.
1/102
Calculate prob of sequence lb when two letters picked without replacement from {l: 1, b: 5, p: 4}.
1/18
Calculate prob of sequence xx when two letters picked without replacement from {h: 7, c: 4, x: 3}.
3/91
Three letters picked without replacement from illiliiitllti. What is prob of sequence ltl?
10/429
Calculate prob of sequence hsss when four letters picked without replacement from {s: 11, h: 2}.
3/26
Calculate prob of sequence mm when two letters picked without replacement from vmmivvvqs.
1/36
Calculate prob of sequence qj when two letters picked without replacement from qjqjqjqqqq.
7/30
What is prob of sequence eueu when four letters picked without replacement from geeoueeeeoeogggueee?
5/2584
What is prob of sequence pq when two letters picked without replacement from qqqqqpqqqp?
8/45
Three letters picked without replacement from {p: 3, k: 7, f: 2, m: 5}. Give prob of sequence fkk.
7/340
What is prob of sequence us when two letters picked without replacement from {d: 5, u: 1, o: 5, s: 4}?
2/105
Three letters picked without replacement from lalllgalccllgllgawwl. Give prob of sequence acc.
1/1140
Three letters picked without replacement from {x: 2, g: 9, a: 7}. What is prob of sequence xag?
7/272
Four letters picked without replacement from {e: 1, k: 2, d: 3, l: 1, y: 1, v: 3}. Give prob of sequence veyd.
1/880
Four letters picked without replacement from {v: 1, j: 1, m: 2, s: 3}. Give prob of sequence svsj.
1/140
Two letters picked without replacement from qqyiqpqqqiqqqqlllyp. What is prob of sequence qy?
10/171
Four letters picked without replacement from {c: 2, j: 2, g: 1, b: 1, d: 1, o: 13}. What is prob of sequence djoj?
13/58140
What is prob of sequence dzo when three letters picked without replacement from {o: 2, z: 1, d: 4}?
4/105
Calculate prob of sequence qb when two letters picked without replacement from qbqqbbbbqbqbbbbbqb.
4/17
Calculate prob of sequence yyyy when four letters picked without replacement from ryyryrrrryyry.
3/143
Two letters picked without replacement from qqqqoxqqqqqqqqq. What is prob of sequence oo?
0
Four letters picked without replacement from vbbbv. What is prob of sequence bbvb?
1/10
What is prob of sequence tty when three letters picked without replacement from {t: 2, y: 1}?
1/3
Three letters picked without replacement from {t: 2, a: 3, j: 9, v: 5}. What is prob of sequence jvv?
10/323
Four letters picked without replacement from cococococc. Give prob of sequence ococ.
1/14
Calculate prob of sequence ffff when four letters picked without replacement from fgfffffg.
3/14
Calculate prob of sequence bgtt when four letters picked without replacement from gtvggggbg.
0
Four letters picked without replacement from {y: 5, h: 9}. What is prob of sequence yhhy?
60/1001
Calculate prob of sequence lt when two letters picked without replacement from xyhtllyyy.
1/36
Calculate prob of sequence tei when three letters picked without replacement from etzzi.
1/60
What is prob of sequence pkvp when four letters picked without replacement from {k: 1, q: 5, p: 9, g: 2, v: 1}?
1/1020
What is prob of sequence phh when three letters picked without replacement from {h: 5, p: 2, j: 3, x: 1, c: 5}?
1/84
Calculate prob of sequence idqx when four letters picked without replacement from diiqjdixjijdi.
1/1144
Calculate prob of sequence xpz when three letters picked without replacement from {x: 1, e: 2, o: 1, u: 2, z: 1, p: 2}.
1/252
Three letters picked without replacement from {e: 10}. What is prob of sequence eee?
1
What is prob of sequence bt when two letters picked without replacement from {t: 2, b: 2, i: 1, n: 1, l: 1, q: 1}?
1/14
Four letters picked without replacement from {q: 2, u: 2, a: 3, p: 4, m: 2}. Give prob of sequence mpap.
3/715
Two letters picked without replacement from nfolzhl. What is prob of sequence fn?
1/42
Three letters picked without replacement from {m: 1, e: 4, z: 7, i: 2, c: 4}. What is prob of sequence emi?
1/612
What is prob of sequence pttp when four letters picked without replacement from {m: 2, t: 4, p: 4, a: 4}?
6/1001
Three letters picked without replacement from {n: 1, q: 5, g: 7, f: 1}. What is prob of sequence nfg?
1/312
Two letters picked without replacement from {y: 5, m: 7}. What is prob of sequence yy?
5/33
Four letters picked without replacement from mmmtmmtmott. Give prob of sequence mtmt.
1/22
Calculate prob of sequence pdcg when four letters picked without replacement from dgpcpg.
1/90
What is prob of sequence qsmi when four letters picked without replacement from {m: 10, i: 1, q: 1, v: 1, n: 3, s: 3}?
5/15504
What is prob of sequence aa when two letters picked without replacement from {h: 2, a: 4}?
2/5
Three letters picked without replacement from wwwwwwwwwofwwww. Give prob of sequence oww.
2/35
What is prob of sequence npn when three letters picked without replacement from gncrqpqprpr?
0
Three letters picked without replacement from {w: 1, t: 5, d: 11, r: 1, e: 2}. Give prob of sequence wet.
1/684
Calculate prob of sequence kkk when three letters picked without replacement from kkkkk.
1
Two letters picked without replacement from xzznxnxiyzxi. Give prob of sequence yi.
1/66
Four letters picked without replacement from {i: 2, u: 2, d: 2, k: 1, j: 4, l: 6}. Give prob of sequence jlkl.
1/476
Four letters picked without replacement from btbtbbbbbbtttb. What is prob of sequence bbtt?
60/1001
What is prob of sequence gdd when three letters picked without replacement from {b: 2, d: 2, g: 1}?
1/30
Calculate prob of sequence nt when two letters picked with | {
"pile_set_name": "DM Mathematics"
} |
hat is (6*(-2)/(-30))/(101/(233310/396))?
7/3
Calculate 11/(1782/(-144))*(6 - 0 - 15).
8
Calculate ((-2486015)/(-539))/73 + 10/(-55).
63
What is the value of ((-18468)/(-8550))/((-14)/(-175))?
27
Calculate ((126/4)/1 + -3)/((-301)/602).
-57
Evaluate (69 - 20069/294)*42.
31
Evaluate 294750/1575 + -203 - 19*-1.
22/7
(-5)/1 - (53 - (-5336)/(-92))
0
(-325 - -298)*(7 - (-28)/(-6))
-63
Evaluate -3*1 + ((-2)/69)/((-2108)/216597).
-1/46
What is ((-6440)/(-1127))/(130/210 + ((-20)/15 - -1))?
20
What is ((-10)/(-3))/(3*(-4)/18)*(-4412)/159935?
4/29
Calculate (7/(-5 + 54))/((-2561)/(-4137)).
3/13
Evaluate 3434/(-3366) - (-1)/(-11).
-10/9
(25929/(-670))/(18/(-65)) - 5*1/(-4)
141
Calculate 1554/(-37) - (-36 - (-1 + -9)).
-16
What is ((-594)/117)/11 + (-238)/182*31?
-41
Calculate 2880/(-2080) + 1700/26.
64
Calculate (-1056)/(-30)*2455/(-1964).
-44
Evaluate (((-6 - -5)/2)/((-3)/(-282)))/1.
-47
-6 - 2607*18/(-8856) - 6/(-8)
2/41
What is the value of ((-323532)/(-32680))/(6/(-40))?
-66
Evaluate (-42)/15 - 73786/(-16345).
12/7
What is the value of ((-6194)/(-489))/(10/(-15))?
-19
((-112)/20 + 3)/((-9835)/175 - -56)
13
Calculate (10/(-11))/((-128)/(-128)).
-10/11
What is ((10/(-3514))/(3985/3188))/(4/(-14) - 0)?
2/251
What is the value of (-32143098)/1147562 + 31 + -3?
-1/101
Evaluate ((-126)/(-112) - 57/(-152))/((-1 + 2)/(-6)).
-9
What is the value of (-8)/168 + ((-21240)/14700)/(45/(-70))?
11/5
What is the value of 36/(-3) - (-2)/(-6)*(86 - 26)?
-32
Evaluate -70 + (-71168)/(-832) + -1*14.
20/13
Evaluate 8/(-5)*-495*(-35)/(-630).
44
(-2)/2*((-1264)/79 - -5)
11
Evaluate 35/(-33 - -38) - 3.
4
What is the value of 139460/51380 + 9/(126/(-32))?
3/7
Calculate 2613688/(-950432)*(2/(-7) + 391/(-77)).
59/4
What is (-4)/(-25) - ((-6711312)/(-600))/(-178)?
63
What is (21892/82095)/(68/(-6))?
-2/85
((-48)/120)/(((-750)/39375)/(2/(-14)))
-3
Evaluate 5075/22330*1320/50.
6
What is the value of (-14)/(-217) + (-30 - (-143416)/806 - -4)?
152
Calculate (324/(-252))/(7569/609).
-3/29
What is -1 + 121/(-11) - (-90)/10?
-3
What is (31/2)/(312/(-624))*1*(-6 - -5)?
31
Evaluate 3 - 3 - (156/(-15))/(14/(-35)).
-26
What is the value of -133 + (-2 - (-128 + -80))?
73
Calculate 6174/2142 - (-6)/(-10)*(6 - 1).
-2/17
What is the value of 55167/(-102564) - 4/(-48)?
-5/11
What is (((53 - 45) + 3)*3/33)/(95/(-2))?
-2/95
Evaluate 89 + -5332*2/120.
2/15
Evaluate (261/(46 - 37))/(-1) + 107.
78
Evaluate ((-124)/(-775)*4/16)/(14/(-4) + 3).
-2/25
(9212/343)/(18/21)*78/(-52)
-47
What is (-16)/6 - -126*(-166)/8964?
-5
Calculate (-10 + 1045/(-38))*(-84)/(-70).
-45
Evaluate ((-150350)/162475)/(6/(-227)) - 35.
2/201
Calculate (-13664)/(-244) + (630/7)/9.
66
Evaluate (-65001)/672 + (-715)/(-4576) + 3/(-7).
-97
57316/8372 - (-4)/26 - (6 + (-7 - 0))
8
Evaluate (-10388)/(-168)*((-51)/42 + 1)*10/10.
-53/4
What is -1*161*(-8)/(-56)*1?
-23
Calculate (2 + -6 + 96/27)/(2788/123).
-1/51
What is ((-229900)/2394 - -96)/(3/(-168))?
16/9
What is 60/(-150) - ((-20286)/(-1485))/(-49)?
-4/33
Calculate (-75 - 11340/(-147))*(-7)/12.
-5/4
Evaluate 3654/(-56637) + -9*4*(-10)/8463.
-2/91
What is (-7917)/(-4524) - 1084/16?
-66
13/(-1196) - (-296286)/4232
70
What is the value of ((-749)/91 - -8) + (-330)/(-78) - 2646/675?
2/25
What is the value of (42 + -9)*(1300/90 + -14) + -15?
-1/3
(15022/17168)/((-15)/8)
-7/15
Calculate ((-9432)/744 + 13)*18/(-30).
-6/31
Evaluate 2424032/4679081 + 18/(-33).
-2/73
What is the value of (-5852)/(-247) + -24 + (-435)/(-1625)?
-1/25
Evaluate 94/(-130) - (-253)/(31625/100).
1/13
(7524/(-66) - -122)/((-104)/(-30))
30/13
(-22970)/20673 + 4/(-9)
-14/9
What is 777/21 + (-139041)/3759?
2/179
Calculate (95/(-10) - -1)/((-13)/455 - (-45)/(-1050)).
119
Evaluate -5 + 0 - ((-5)/100*7)/(308/3696).
-4/5
5*64/((-7360)/1817)
-79
Calculate 14/(((-3906)/(-27))/31) + -68.
-65
Evaluate ((-132)/(-60) + -1 + -2)/(51/(56 + -821)).
12
(1626750/(-1140))/75 + 19
-1/38
-52 + 84060/1620 - (-1 + 188/9 - 1)
-19
Calculate (3 + 7 + (-12 - -4))/((-2)/(-31)).
31
Calculate ((-50)/(-14))/((-180)/14 + -273*25/(-525)).
25
What is (320/(-260))/(8*(-16)/832)?
8
146/(-2) - 3861019/(-52775)
4/25
(0 - (-8)/(-252))*(-18)/(-432)*(65 - 9)
-2/27
What is the value of 66454/(-1338) - (-1 - (-24)/(-9))?
-46
Calculate 60 - 63/84*-2*((-60)/(-9))/(-5).
58
-29*24/(-7656) + ((-4140)/44 - -2)
-92
What is (1 - (7/3 - 2))*(-110085)/1790?
-41
(-17)/(204/64)*(-1365)/364
20
What is the value of (-1 - (-4)/3)*(-22)/(4796/25506)?
-39
Calculate 2594/(-6485)*10/274.
-2/137
What is the value of (13/234*(-9)/15)/((-8)/(-10))?
-1/24
What is the value of (3/10)/(-25*(-990)/15000)?
2/11
Evaluate (-3)/2*(3024/2268)/(2/(-66)).
66
Calculate 4 - 1 - (-36 + 18 + 8).
13
What is (-4)/(7636/249*((-5)/(-5) - (-25)/(-10)))?
2/23
20*((-10)/(-8)*5334/(-3175) + (-2)/(-4))
-32
(338208/216)/(-52) - (20 - 50)
-1/9
Calculate (-150)/16 + 0 + 172/215*60/8.
-27/8
(-9)/(-15) + (-1314)/90 + (-4104)/(-306) + 0
-10/17
What is (-15080)/(-374400) + (-4)/(-180)?
1/16
What is (2/(-15) - 1/5)*54/(55350/41)?
-1/75
Calculate (2052/(-14877))/((-12)/(-1566)).
-18
What is (((-3738)/(-168))/(-89))/((-6)/32)?
4/3
What is the value of 8/(561/(-11220) - 1202/(-40))?
4/15
(-284)/20 + (-289536)/(-5655)
37
What is 8/22*(-254163)/13034?
-78/11
(-97 - 345427/(-3568))/(13/(-8))
3/26
What is the value of (1317384/1647)/(-57) + (-4)/(-122)?
-14
Evaluate (0 - 1)*(-180)/(-630) + 226/7 - -4.
36
Calculate 572/22*11/(-6) - 1177/(-321).
-44
What is the value of 9/(-6)*3/(42/(-656))*66913/(-57354)?
-82
Calculate ((2175/(-100))/87)/((-7)/(-44)).
-11/7
Evaluate (30 - (-13860)/(-270))/2.
-32/3
Evaluate -39 + 37 - (-18)/(-2)*6*(-11)/198.
1
What is the value of (-2535)/115 + (-282)/(-6486)?
-22
What is the value of (18/33 + 4466/94743 + 4/54)*2?
4/3
Evaluate (-1206)/(-6180) + (13/85 - 516/62866*43).
-1/206
What is (18 + (42750/133)/(-18))/(54/63)?
1/6
Calculate ((2 - 4)/(-290))/(109/((-1090)/4)).
-1/58
What is (-19)/((-4332)/24) + (41923/8778)/(-53)?
1/66
What is the value of (-4904)/2680 - 249/(-747)*135/25?
-2/67
(16/(-28)*-1)/(304/(-58 - 18))
-1/7
(-4)/10*(-521)/1042*20/(-3)
-4/3
What is the value of (72/(-69) + 1)/((-72)/120 + (-8)/(-10))?
-5/23
Evaluate -31 - 18 - (-1)/((-266)/252 - -1).
-67
Evaluate -2*4/14*((-297)/6 - -32).
10
Calculate 3 + (5 - 9) + 238/(5 - 19).
-18
Evaluate ((-14456)/(-4587))/(34/561).
52
What is the value of (-3)/(-2 - 507/(-258))*(-823)/(-1646)?
43
(5 + (-15 - -21) - -11) + -3
19
Calculate -2 - (-741)/55 - (-6849)/(-25113).
56/5
What is the value of (-11 + -635)/34 + 13?
-6
Calculate 22/154 + (-5529)/(-399).
14
(108417/(-44792) + 12/22)/(1/(-8))
15
Evaluate (10 - (-10413)/(-1035))*405/(-1134).
1/46
Calculate (207870/95940)/(2/(-60)).
-65
Calculate (3*549/(-810) - -2)*-415*(-18)/3.
-83
Calculate (-5 - -8)/(30/(-570)).
-57
Calculate -1 + -38*(-4)/72 - (620340/(-11880))/(-49).
1/22
Evaluate 11 - (203/28 + (40 - 31)).
-21/4
Calculate -39 - (-64 - (44 + -63)).
6
What is (-70)/((-2800)/1160) + (-835)/25?
-22/5
What is (-28)/((-896)/48)*12/(-2)?
-9
What is 130/(-4)*(2016/(-117))/56?
10
Calculate 102*3*43/(-774).
-17
53 - (-63 - -120) - ((-26)/(-12))/(4/12)
-21/2
What is 27/9 + ((-680)/16)/(10/(-8))?
37
Calculate (((-162006)/(-335))/(-39))/((-4)/10).
31
What is (-837)/(-1581)*(44/(-9))/11?
-4/17
Evaluate (-5 - 0) + (-310 - -221 - -78).
-16
What is the value of ((-9)/63*3)/((-273)/21 + 10)?
1/7
Evaluate 24 + (463 - 12)*108/(-594).
-58
What is 34/(-160) - ((-48026)/590 - -81)?
3/16
-9 + ((-2324)/(-84) - 14)
14/3
Calculate 10225/(-175) - (-1 + -58).
4/7
What is (((-9)/(-4))/(306/816))/27?
2/9
-78 - (-15525)/200 - (-362)/112
20/7
3/13 + (-132132)/(-7436)
18
Evaluate ((-148)/518 + 122/(-14))*(480/36 + -18).
42
What is (-60)/(-18) + (-14)/(-104)*-24?
4/39
1050/600 - 135/4200*158/3
2/35
What is (-1338)/3122 - ((-8)/32 - (-318)/(-56))?
11/2
((-776)/582)/(((-50)/435)/5)
58
What is the value of (-2)/(-18) + 13176803/662724 + 20*-1?
-1/164
What is the value of ((-20)/(-21) + (-6)/7)/(153/63*1)?
2/51
What is (-22 - (-7)/(63/188))/((-1)/(-9)) + 44?
34
Evaluate 70/26*157079/(-36249).
-35/3
Calculate 13*-1 - (-122220)/(-11640) - 1/(-2)*9.
-19
What is (77 - (-194112)/(-2520))/((-1)/21)?
3/5
Calculate 5073/4806 + 6/(-18) + (-21)/(-27).
3/2
What is the value of 129 + 219635/(-1705) - ((-380)/572 + 2 + 0)?
-15/1 | {
"pile_set_name": "DM Mathematics"
} |
*o**3 - 4*o**2 - 2*o + 1. Let g be u(-2). Let k(w) be the second derivative of w**3/3 - 3*w**2/2 + 2*w. Calculate k(g).
7
Let j(w) = -3*w + 5. Let y be j(4). Let p = y - -11. Let f(r) = r**3 - 4*r**2 + p*r - 2 - 4*r + 4*r. Determine f(2).
-2
Let l = 16 + -8. Suppose 0 = u + 3*u + l, -3*r - u - 11 = 0. Let h be r + 0 - (-5 + -2). Let s(v) = v**3 - 3*v**2 - 6*v + 2. What is s(h)?
-6
Suppose 0 = 2*q - 2 - 4. Suppose -5*c + 12 = -2*d, q*d + c - 8 - 8 = 0. Let o(p) = p**3 - 5*p**2 + 7*p - 5. Give o(d).
7
Let j(t) = 2*t**2 + 0*t**3 + 4 - 3*t**2 - t**3 + t. Let r = -50 - -50. Calculate j(r).
4
Let l = 10 + -4. Suppose -y + l = y. Let m(a) = 2*a**3 - 3*a**2 + 11*a - 6. Let n(w) = w**3 - w**2 + 6*w - 3. Let c(p) = 3*m(p) - 5*n(p). Calculate c(y).
-3
Let a(p) = 0 + 1 - 3 - 2*p. Determine a(-4).
6
Let u(d) = -2*d**2 - 2*d. Suppose p - 3*a = 8 + 9, 5*a + 21 = -2*p. Calculate u(p).
-12
Let q(y) = 3*y**2 + 3*y - 4. Let t(z) = -z**2 + 1. Let c(f) = -q(f) + t(f). Let x(j) = 3*j**2 + 3*j - 4. Let o(m) = -2*c(m) - 3*x(m). Calculate o(2).
-8
Let c(u) = 2*u**2 + 6*u - 4. Let h(x) = -x**2 - 3*x + 2. Let v(g) = -6*c(g) - 13*h(g). Let t(i) = -i + 25. Let k be t(18). Let f = k - 5. Calculate v(f).
8
Let n(k) = -3*k**3 - 11*k**2 + 6*k - 6. Let f(l) = 2*l**3 + 6*l**2 - 3*l + 3. Let o(m) = -5*f(m) - 3*n(m). Give o(3).
-6
Suppose -5*b = 4*z + 26, 9 + 25 = -5*b + 4*z. Let u(m) = m - 7. What is u(b)?
-13
Let b(y) = -2*y + 3*y - y - y - 8. Let r be b(-10). Let j = 1 - r. Let h(a) = -a**2 - a + 1. Determine h(j).
1
Let v(j) = -j**2 + 8*j - 6. Let k be v(6). Let r be (-6)/k - 5*1. Let u(n) = 1 + 5*n + 2*n**2 - n**2 + n. Calculate u(r).
1
Let x(h) = -h - 13. Let l(k) = 2*k - 2. Let a be l(1). Let v be (-3)/6*a/3. Calculate x(v).
-13
Let x(a) = -2*a**3 - a**2 - a + 4. Let w(b) = b**3 - 4. Let j(f) = -3*w(f) - 2*x(f). Determine j(-3).
-11
Let a(j) = -2*j**3 - 23*j**2 - 16*j + 3. Let x(i) = -i**3 - 12*i**2 - 8*i + 2. Let t(m) = -4*a(m) + 7*x(m). Give t(-7).
-5
Let s be (-2)/17 - (-192)/(-102). Let m(v) = v**3 + 2. What is m(s)?
-6
Let k be ((-3)/2)/(2/(-8)). Let j be k*((-27)/6 + 4). Let d(w) = -w**2 - 5*w - 4. What is d(j)?
2
Let v(u) = -u + u**2 - 7*u**2 + 0*u**3 + 4 - u**3. What is v(-6)?
10
Let c(s) = 5 - s - s**2 + 4*s**2 - 2*s**2 + 9*s. Calculate c(-7).
-2
Let u(r) = -6*r**2 - 4*r - 4. Let x be u(-1). Let z(k) be the second derivative of 5/12*k**4 - k + 0 + 1/20*k**5 - 7/6*k**3 - k**2. Calculate z(x).
4
Let g(o) = 3*o - 1. Let j be g(1). Let a(r) = r**3 + 2*r**2 - r + 4. Let t be a(-3). Let l = t - j. Let p(u) = -2*u. Give p(l).
8
Suppose 0*z = -3*z + 18. Let m(i) = -i - 1. Calculate m(z).
-7
Let o(t) = -3*t - 21. Let v be o(-8). Let h(c) = -c**3 + 3*c**2 - 4*c + 2. What is h(v)?
-10
Let t(m) = -m**2 + 1. Let c be 8 + 0 + 2/1. Suppose 0 = n + 3*l + c + 3, 3*l + 11 = n. Give t(n).
0
Suppose 0*x = -4*x + 20. Suppose -x*r - 6 = -2*a, a - 4*a - 5*r + 9 = 0. Let w be 1/(a/(-3*3)). Let y(o) = -o**2. Determine y(w).
-9
Let r be 20/(-50) - 34/(-60). Let d(c) be the second derivative of 0 - c - r*c**3 - 1/2*c**2. Calculate d(2).
-3
Suppose 5*z + 20 = -m, -m - 12 = 3*z - 0*m. Let q(n) be the second derivative of n**3/6 + n**2 + n. Give q(z).
-2
Let o(t) = t**3 + t**2 + t + 4. Let p be o(0). Let c(h) = h - 4*h + 0*h + p*h. Let u(a) = 2*a**2 + 10*a. Let g(r) = -10*c(r) + u(r). What is g(2)?
8
Let b(m) = -m**2 - m + 4. Let o(k) = k. Let q(j) = b(j) + 6*o(j). Suppose -6 = 6*z + 42. Let w be (-1)/((z/(-12))/(-2)). Calculate q(w).
10
Let y be 2 - (1 - (-3 + 1)). Let h = y + 5. Let m(a) = -a + 4. Calculate m(h).
0
Let j(l) = -l**3 + 5*l**2 - l - 2. Let w(v) be the second derivative of v**3/6 + 2*v**2 + v. Suppose 0 = -m - m. Let c be w(m). Give j(c).
10
Let v(r) = r**2 - 4. Let g(x) = x**2 - x + 1. Let b(c) = 2*g(c) + v(c). Calculate b(2).
6
Let a(y) = -4*y**2 - y. Let v = 3 + -5. Let m = v + 3. What is a(m)?
-5
Let j(b) = b - 9. Suppose 0 = -p + 4*p - 18. Suppose 16 = -p*n + 2*n. Let z(v) = 1. Let g(q) = n*z(q) - j(q). Calculate g(5).
0
Let h(z) = 61*z - 3 + 4 - 61*z - 3*z**2. Give h(-1).
-2
Suppose -30 = 2*f + 3*f. Let p(g) = g**3 + 5*g**2 - 7*g - 2. What is p(f)?
4
Suppose -20 = -3*l - l. Let h(j) be the third derivative of -j**6/120 + j**5/15 + 5*j**4/24 + 5*j**3/6 + j**2. Calculate h(l).
5
Let m(r) = r - 2*r + r**2 - 5*r + 4. Suppose -5*y + 8 + 0 = -4*q, q = -y + 7. What is m(q)?
-5
Let z(x) be the third derivative of -x**5/60 - 5*x**4/24 + 2*x**3/3 - 11*x**2. What is z(-6)?
-2
Suppose 0*c = 2*c - 10. Let a(y) be the first derivative of -y**3/3 + 3*y**2 - y + 10. Give a(c).
4
Let h = 7 + -5. Let a(g) = -3 - h*g + 4 + 0*g. Suppose 0 = 3*f + 4 - 16. What is a(f)?
-7
Let v be 4/14 + 692/28. Suppose -20 = -3*x + w, x = 2*x - 4*w - v. Let c(y) = y**2 - 2 - y - x*y**2 - 3 + 3*y**2. What is c(0)?
-5
Let b(t) = 20*t + t**2 - 13*t - t - 4. What is b(-7)?
3
Let z(x) be the second derivative of -3/2*x**2 - 3*x + 1/6*x**4 + 0 - 1/2*x**3 + 1/10*x**5. Let a be -3 - (0 - (-1 + 2)). What is z(a)?
-5
Let u = 17 - 11. Let o(k) be the third derivative of -1/4*k**4 - 4/3*k**3 + 0*k + 1/60*k**5 + 4*k**2 + 0. Calculate o(u).
-8
Let g(f) = 10*f**2 - 1. Suppose 4*j - 2*j - 8 = 0. Suppose -j*n - 4 = -0. What is g(n)?
9
Let n(w) = 15*w**3 + 7 - 20 - 11*w - 3*w**2 + 4*w**2 + w**2. Let l(b) = -7*b**3 - b**2 + 5*b + 6. Let m(j) = 13*l(j) + 6*n(j). Calculate m(0).
0
Let c(b) = -5*b**3 - b**2 + 1. Suppose -2*p - 10 = -4*p + 4*l, -4*p + 4*l = -12. Calculate c(p).
-5
Let g be (8/10)/(4/10). Let u(s) = 0*s**3 - 2*s**3 + 9*s**2 - 2*s**g + 1 + s**3 - 5*s. What is u(6)?
7
Let h(o) = o**3 + 4*o**2 + 3*o - 4. Suppose 2*k + 2 = 5*w - 9, 3*k - 2*w = 0. Suppose 2*v + 9 = k*y - v, -5*v - 31 = 2*y. Give h(y).
-4
Let t(a) = -a**2 + 2*a. Suppose -2*w = 5*f + 7 - 3, -3*f = 2*w. Suppose -5*o = -42 - w. Let r = 12 - o. What is t(r)?
-3
Let g(d) = -3*d - 8. Let h(m) = -6*m - 17. Let x(a) = 9*g(a) - 4*h(a). Determine x(-3).
5
Let j(u) be the second derivative of -u**5/20 - u**4/6 + u**3 + u**2/2 + 16*u. What is j(-4)?
9
Suppose 4*p + 0 = 20. Suppose 2*r + p = 7*r. Let b(x) = 10*x**2 - x. What is b(r)?
9
Let q(p) = 0 + p - 1 + 3 + 3. Suppose 0 = -3*x - 2 + 14. Calculate q(x).
9
Let m(w) = 3*w - 2. Let d(p) = -p - 20. Let y be d(-16). Calculate m(y).
-14
Let r(b) be the first derivative of -5*b**4/24 + b**3/2 - 3*b**2 + 2. Let k(s) be the second derivative of r(s). Give k(4).
-17
Suppose 0 = 3*k - 2*i - 8, 2*k + 4*i + 6 = 3*k. Suppose -k*w = 3*w - o - 12, -2*w = 4*o + 4. Let m(c) = -c + 1. Give m(w).
-1
Let h be ((-4)/5)/(16/160). Let s(z) = -2*z - 1. Calculate s(h).
15
Let g be 2/(-7) - 23/(-7). Let t(p) = -p**2 + 4. Let u be t(0). Let y(n) = 1 + u*n**3 - 4*n**2 - 3*n**3 + 1. Calculate y(g).
-7
Let t(h) be the first derivative of -h**3/3 + 3*h**2 - 4*h + 4. Suppose -6 = -5*x + 4. Let y = x - -2. Calculate t(y).
4
Let h(t) = t**2 - 11*t + 9. Let n be h(10). Let l(j) = 13*j**2 - j. Give l(n).
14
Let w(l) = 5 - 3*l**2 + 4*l**2 + 4*l - 4. What is w(-5)?
6
Let h(x) = -x**2. Let a(n) = -2*n**2 + n + 1. Let i(g) = a(g) + 5*h(g). Suppose j + 1 + 12 = -3*s, 4*j + 12 = -2*s. Let o = 3 + s. What is i(o)?
-7
Let p be 7/(21/(-6)) + -1 - -9. Let d(t) = -t + 1. Calculate d(p).
-5
Let s(o) = o**3 - 6. Suppose 0 = -18*n + 23*n. Calculate s(n).
-6
Suppose 2*i = 5 + 1. Let l(a) be the second derivative of -7/2*a**2 + 2*a + 1/2*a**i + 0. Calculate l(5).
8
Let t(u) = -u**2 - 6*u - 5. Let v(f) = 2*f**2 + 12*f + 11. Let x(q) = -5*t(q) - 2*v(q). Let w = 19 + -23. Determine x(w).
-5
Let j be (-2)/(-2) - (-8 - -4). Let b(p) = p - 1. Calculate b(j).
4
Suppose 0 = -5*b + 7*b - 3*g - 18, -4*b + 20 = -2*g. Let l(o) be the first derivative of -o**3/3 + 5*o**2/2 + o - 10. Determine l(b).
7
Let j(y) = -3. Let q(u) be the second derivative of -u**3/6 - u**2 + u. Let d(l) = -3*j(l) + 2*q(l). Calculate d(5).
-5
Let j be (-3)/(-12) - 22/(-8). Suppose -5*x + j = -12. Let m(g) = 7*g**2 - g - 10. Let i(a) = -6*a**2 + a + 9. Let q(c) = -6*i(c) - 5*m(c). Give q(x).
2
Let a(u) = 3*u - 3 + 5*u - 6*u + 2*u. Calculate a(5).
17
Let o(s) = 4*s**2 - s - 1. Let a be o(-1). Let u(t) = -t**3 + 5*t + 1 + a*t**2 - 8 - 3*t**2 - 5*t**2. Determine u(-5).
-7
Let s(t) be the third derivative of t**6/120 + t**5/30 - t**4/24 - t**3/2 + 13*t**2. What is s(-3)?
-9
Suppose 5 = -i - 2*f, -6*i + | {
"pile_set_name": "DM Mathematics"
} |
ivided by r.
10
Calculate the remainder when 4 is divided by ((-5)/(-30))/(2/12).
0
Let i be (-31)/((-33)/(-12) + -3). Suppose -d - d + i = 3*n, -5*d - 20 = 0. What is the remainder when n is divided by 12?
8
Let n be ((-3)/9)/1*-9. Suppose -n*t - 5 = -8*t. Let f(q) = 9*q + 1. Calculate the remainder when 29 is divided by f(t).
9
Suppose 5*s + 4*p - 74 = 12, -32 = -2*s - 4*p. Calculate the remainder when 71 is divided by s.
17
Suppose -4*a + 0*a + 36 = 0. Let m = a + 0. Calculate the remainder when 34 is divided by m.
7
Let y(c) = 124*c + 4. Let g be y(3). Suppose -g = -3*l - l. What is the remainder when l is divided by 24?
22
Let a = -23 + 31. What is the remainder when a is divided by 3?
2
Let g be (-26)/7 - (-2)/(-7). Let x = -12 - -34. Calculate the remainder when (-1)/(-2)*g - -65 is divided by x.
19
Let l be (-425)/(-15) + 4/6. What is the remainder when 3/3*l*1 is divided by 10?
9
Let m(c) be the first derivative of c**4/4 + 7*c**3/3 - c**2 - 7*c - 1. Let b be m(-7). Let j = b - -9. Calculate the remainder when 47 is divided by j.
15
Suppose -2*m - 15 = m + 3*k, -4*m - k = 20. Let t(n) = n**3 + 6*n**2 + 6*n - 1. Let w be t(m). Let d = w - -12. What is the remainder when 10 is divided by d?
4
Let v(f) = f**3 + 15*f**2 + 14*f + 8. Let i be v(-14). Suppose n - i = -0*n. Suppose 0 = -4*r - 0*r + 124. What is the remainder when r is divided by n?
7
Suppose 2*j = 3*m - 19, -2*j = -4*m + 10 + 16. What is the remainder when (-98)/(-10) + (-3)/(-15) is divided by m?
3
Let o(j) = j**2 - 1. Let g(u) = 4*u**2 - 8. Let m(c) = g(c) - 3*o(c). Suppose -22 = -5*s + 3*s. Calculate the remainder when m(5) is divided by s.
9
Let v(u) = u**2 - 8*u - 1. Let i be v(6). Let c = -6 - i. Calculate the remainder when 13 is divided by c.
6
Let k(b) = -b**3 + 3*b**2 + 3*b + 2. Let r = 2 + 1. What is the remainder when k(r) is divided by 4?
3
Let r(w) = w**3 - 4*w**2 - 8*w. Suppose 4*n = 12 + 52. Suppose 3 = -s + n. Calculate the remainder when r(6) is divided by s.
11
Suppose 2*o = -4*c + 220, 0*o = 3*c - 4*o - 143. Let z = c + -28. What is the remainder when z is divided by 14?
11
Suppose -3*v + 1 = -5. Suppose -v*t - 28 = -6*t. What is the remainder when 20 is divided by t?
6
Suppose 4*j + 52 = -0*j. Let u = -4 - j. What is the remainder when 24 is divided by u?
6
Suppose -2*w + 0 = -y - 3, 3*w - 5 = 2*y. Suppose 3*n - 5 = w. Let i = 0 - -1. Calculate the remainder when n is divided by i.
0
Let p = -74 + 103. What is the remainder when p is divided by 8?
5
Suppose -6*h + 11*h = 115. Let n(c) = -c**3 + 8*c**2 + 4*c - 5. Calculate the remainder when n(5) is divided by h.
21
Let p = 133 + -106. What is the remainder when 51 is divided by p?
24
Let o = 18 - 9. Suppose o*m = 4*m + 85. Calculate the remainder when 31 is divided by m.
14
Suppose -c - b + 33 = 0, c + 5*b - 25 = -0*b. Calculate the remainder when c is divided by 18.
17
Suppose 24 = -o - 3*o. Let c = 10 - o. Suppose -5*y + c = -4*y. Calculate the remainder when y is divided by 6.
4
Suppose n + 744 = -2*n. Let r(o) = 4*o**2 + 3*o - 1. What is the remainder when r(-3) is divided by n/(-18) + (-4)/(-18)?
12
Let p be 0/1 - (-30)/(-5). Let a = 22 + p. Suppose 3*j - a = j. What is the remainder when 13 is divided by j?
5
Let d(n) be the second derivative of n**4/12 - n**3/2 + 3*n. Let p be (-3 - 9)*(-2)/4. Calculate the remainder when 52 is divided by d(p).
16
Let s = 20 + -15. Suppose -4*d + s*d - 8 = 0. Suppose 4*n + 2*j - 60 = 0, -2*n + 0*j = 5*j - 30. Calculate the remainder when n is divided by d.
7
Let t be -3 - (2 + -3 + -15). Let d(x) = x**2 - 11*x + 10. What is the remainder when d(t) is divided by 4/10 - (-93)/5?
17
Let n = 12 + -6. Let h(j) = -j**3 + 8*j**2 - 8*j - 6. What is the remainder when h(n) is divided by 10?
8
Let h(y) = 3*y + 12. What is the remainder when h(14) is divided by 19?
16
Let u be (0/2)/((-10)/5). Suppose 3*t + t - 24 = u. What is the remainder when 10 is divided by (t/(-8))/((-3)/12)?
1
Let c(w) = 4*w - 19. Calculate the remainder when 42 is divided by c(6).
2
Let q = -6 + 16. Calculate the remainder when 38 is divided by q.
8
Suppose -7 = -5*g + 3*d + 11, -d = 5*g - 14. Let p = 418 + -206. What is the remainder when 4/(-26) + p/26 is divided by g?
2
Let v(g) = 7*g. What is the remainder when 146 is divided by v(7)?
48
Let z(d) = -2*d - 13. Let a be z(-11). Let x(s) = -5*s**2 - 4*s - 3. Let g be x(a). Calculate the remainder when g/(-14) - 8/(-28) is divided by 17.
15
Let a be ((-3)/(-1))/((-7)/(-7)). Suppose o = -a*o + 236. Calculate the remainder when o is divided by 30.
29
Suppose 93 - 37 = 2*g. What is the remainder when g is divided by 17?
11
Let v(m) = m**2 - m - 5. What is the remainder when (-296)/(-6) + (-2)/6 is divided by v(-5)?
24
Let m = 11 - 9. Suppose 0 = -2*w - m*g + 114, 5*g = -7 + 2. Calculate the remainder when w is divided by 15.
13
Let j = 151 + -69. What is the remainder when j is divided by 17?
14
Let f(b) = b**3 + 18*b**2 + 30*b + 12. Calculate the remainder when 168 is divided by f(-16).
36
Suppose 0 = -2*q - 3*q + 10, -g - 4*q + 28 = 0. Suppose 5*x - g = 0, 5*x - 14 = -k + 9. What is the remainder when 0 - 2/1*-2 is divided by k?
1
Suppose 0 = 2*i - 130 + 28. Suppose -5*p + i + 19 = 0. Let o(n) = 3*n + 2. Calculate the remainder when p is divided by o(2).
6
Let i = 28 + 9. Calculate the remainder when i is divided by 20.
17
Suppose 17*i - 165 = 14*i. What is the remainder when i is divided by 19?
17
Suppose 2*o - o - 4 = 0. Let a(v) = -v**2. Let q be a(4). What is the remainder when o is divided by 4/q - 13/(-4)?
1
Let x be (-4)/(-14) + (-37)/7. Let u(b) = -b - 3. Let t be u(x). Calculate the remainder when 93/t - 2/(-4) is divided by 16.
15
Suppose 3*l - 102 = -3*c, 0*l - c - 68 = -2*l. Let h be (-3)/6 - 38/(-4). Suppose 0 = 2*y - y - h. Calculate the remainder when l is divided by y.
7
Suppose 16 = 3*b + b. Let i(x) = -x + 1. Let s be i(-1). Calculate the remainder when b is divided by s + 0/((-9)/3).
0
Let w(n) = -2*n - 2. Let k be w(1). What is the remainder when 24 is divided by k/26 - (-714)/78?
6
Suppose 3*n - 5*w = 24, 3*w + w = -n - 9. Let m(k) = k**2 + 8 + 2*k**3 + 0 - n*k**3. What is the remainder when 15 is divided by m(0)?
7
Let h(w) be the second derivative of w**3/2 - 4*w**2 + 3*w. What is the remainder when h(7) is divided by 7?
6
Let p be 1 + 1019 - 0/6. What is the remainder when 45 is divided by ((-4)/(-10))/(17/p)?
21
Let y(m) = 3*m**2 + 7*m + 16. Let d(o) = o**2 + o + 1. Let u(v) = 4*d(v) - y(v). Calculate the remainder when u(-6) is divided by 15.
12
Let j = 18 - 2. Suppose 0 = 2*v - 46 + j. Calculate the remainder when 29 is divided by 20/v*15/2.
9
Let j(r) = -r**2 - r + 29. What is the remainder when 84 is divided by j(0)?
26
Let t(i) = -i**3 + 10*i**2 + 16*i - 13. Let p be 2/10 + (-54)/(-5). Calculate the remainder when t(p) is divided by 11.
9
Let m = 16 + 10. Calculate the remainder when m is divided by 7.
5
Let i be (-192)/40*100/(-6). Suppose 3*b - 14 - 10 = 0. What is the remainder when 1/8 - (-2470)/i is divided by b?
7
Let t(n) = -n**3 + 5*n**2 + 5*n - 4. Calculate the remainder when t(3) is divided by 11.
7
Let w = -153 - -295. Calculate the remainder when w is divided by 18.
16
Let n = -1 - -6. Suppose 30 = k + 5*z, -4*z = z + n. Suppose 2*t - 44 = -5*x, -3*x + 2*x = -2*t + 20. Calculate the remainder when k is divided by t.
11
Let y be 0/3*(2 - 1). Suppose y = w + 2, -3*k + k + 3*w = -80. What is the remainder when k is divided by 19?
18
Let w = -26 - -114. Calculate the remainder when w is divided by 9.
7
Suppose 0 = g - 9*g + 456. Let k = 4 + 11. What is the remainder when g is divided by k?
12
Let o(y) = -2*y - 3. Let w be o(-4). Suppose 4*i = w*i. Suppose i = -3*j + j + 32. What is the remainder when 61 is divided by j?
13
Let g(p) = -p**2 - 8*p + 5. Let j(f) = -2*f + 6. Let r be j(7). What is the remainder when 8 is divided by g(r)?
3
Let j = -9 - 2. Let c = -17 - j. Let f(t) = -3*t - 4. Calculate the remainder when 40 is divided by f(c).
12
What is the remainder when -27 - -29 - (0 - 0 - 39) is divided by 11?
8
Let s(z) = 2*z**2 + z - 1. Let r be s(-7). Suppose -5*f + 3*l + r = 0, 2*f + 36 = 4*f - 3*l. What is the remainder when 34 is divided by f?
16
Suppose -3*b + 6*b - 15 = 0. Suppose 3*l - b*f = 5, 0 = 2 | {
"pile_set_name": "DM Mathematics"
} |
) - sqrt(2205)).
-17*sqrt(5) + 500
Simplify (sqrt(85) - -2*-2*sqrt(85))/((sqrt(5)*-1*2 - sqrt(5)) + sqrt(5)).
3*sqrt(17)/2
Simplify (5*sqrt(38)/sqrt(800))**2.
19/16
Simplify ((sqrt(343) - (4 + sqrt(343) + sqrt(343) + 1)) + 5 + -3)**2.
42*sqrt(7) + 352
Simplify ((sqrt(13) - (sqrt(65)/sqrt(45) - sqrt(13)))**2 + -5)*-5.
-1400/9
Simplify sqrt(26)/(-2*sqrt(2))*3 - (-1 + sqrt(832))**2*-1.
-35*sqrt(13)/2 + 833
Simplify (-1*sqrt(468))/(sqrt(288)/sqrt(8)).
-sqrt(13)
Simplify (sqrt(60)/sqrt(3)*5 - sqrt(20))/(2*sqrt(100)).
2*sqrt(5)/5
Simplify -2*(-3 + 2*sqrt(242)).
-44*sqrt(2) + 6
Simplify sqrt(187)/(sqrt(539)*-1).
-sqrt(17)/7
Simplify (2 + (1*sqrt(175) + sqrt(175) + -5 - sqrt(175)) + 2)**2.
-10*sqrt(7) + 176
Simplify 6*(sqrt(136)/(sqrt(16)/sqrt(2)) + (sqrt(272) - (sqrt(272)*1)**2)).
-1632 + 30*sqrt(17)
Simplify -1*-1*(sqrt(3) + 1)**2.
2*sqrt(3) + 4
Simplify (4 + sqrt(243) + -1 - (-2 + 1 + sqrt(243))) + 1.
5
Simplify 3*(1 + sqrt(7)) + (-2*sqrt(7)*-3)**2.
3*sqrt(7) + 255
Simplify (1*sqrt(243)*-5 + -1*1*sqrt(300))**2.
9075
Simplify (-3*(sqrt(17) - (sqrt(17) - (sqrt(17) - (sqrt(102)/sqrt(3))/sqrt(2)))))**2.
0
Simplify 2 + (-4*(sqrt(700) + 0) - (3*(2*sqrt(700) + sqrt(700)) - sqrt(700))**2).
-44798 - 40*sqrt(7)
Simplify (sqrt(5) - (sqrt(5) + -5 + sqrt(5)))*1 - (sqrt(80))**2*-6.
-sqrt(5) + 485
Simplify -2 + (5 + (sqrt(3) - (2 + sqrt(3))))*-4.
-14
Simplify sqrt(56)/(3*sqrt(512)).
sqrt(7)/24
Simplify (3 + sqrt(208)*-3 + 4)**2.
-168*sqrt(13) + 1921
Simplify 6*(-1*(1 + sqrt(13)) - ((sqrt(39)/(sqrt(6)/sqrt(2)))**2 - sqrt(13)))*1.
-84
Simplify sqrt(800) + sqrt(800) + 2 - sqrt(50)*-1*-2.
2 + 30*sqrt(2)
Simplify ((sqrt(2) - sqrt(72)*3 - 6*sqrt(72))*3)**2.
50562
Simplify ((sqrt(204) + (sqrt(204) - (sqrt(204) + (sqrt(204) - sqrt(204)*2))))*-1)/sqrt(12).
-2*sqrt(17)
Simplify sqrt(612)*3*-2*-4.
144*sqrt(17)
Simplify (3*(sqrt(180) + 1 + sqrt(180)))**2.
216*sqrt(5) + 6489
Simplify -1*(3 + sqrt(112))*-4.
12 + 16*sqrt(7)
Simplify (3 + sqrt(208) + -1)**2.
16*sqrt(13) + 212
Simplify ((sqrt(3645)*1 + sqrt(45) + sqrt(45) + sqrt(45))/((sqrt(126)/sqrt(2))/sqrt(7)))**2 + 2.
722
Simplify (sqrt(36)/sqrt(3)*-4 - sqrt(12))/(2*sqrt(216)).
-5*sqrt(2)/12
Simplify (3 + sqrt(1053))**2 + 1.
54*sqrt(13) + 1063
Simplify -5*(6*(sqrt(396) - (sqrt(396) + (sqrt(396) + sqrt(396) + -2 - sqrt(396)))))**2.
-72000 + 4320*sqrt(11)
Simplify sqrt(13)*2*2 + -1*(sqrt(104)/sqrt(8))**2.
-13 + 4*sqrt(13)
Simplify sqrt(18)/(sqrt(63)/(-1*sqrt(7))).
-sqrt(2)
Simplify 1*3*sqrt(13)*1.
3*sqrt(13)
Simplify (5 + sqrt(931) + 1)**2 + 4*(2*sqrt(133))/sqrt(7).
92*sqrt(19) + 967
Simplify 0 + ((1*sqrt(132))/sqrt(12) + -1*sqrt(1331))**2.
1100
Simplify (sqrt(16) - sqrt(16)*2*1)/((sqrt(240)/sqrt(6))/sqrt(5)).
-sqrt(2)
Simplify -2*((1 + sqrt(200))**2 + -2).
-398 - 40*sqrt(2)
Simplify (sqrt(153) + sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153) + 1)) - sqrt(153)) + 3)**2.
48*sqrt(17) + 628
Simplify ((sqrt(30) + sqrt(90)/sqrt(3))*-1)/(sqrt(96)*-2).
sqrt(5)/4
Simplify ((-4*(sqrt(66) - 1*sqrt(66)))/sqrt(6))**2*-5.
0
Simplify (((sqrt(1600) - (sqrt(1600) - -1*sqrt(1600) - sqrt(1600)) - sqrt(16)) + sqrt(16))/(sqrt(96)/sqrt(3)) + 1)**2.
1
Simplify -2 + 2*-1*sqrt(1584).
-24*sqrt(11) - 2
Simplify sqrt(1539)*2*-2.
-36*sqrt(19)
Simplify 3 + ((-1 + 0 + sqrt(19))**2 - sqrt(19) - (3 + -1 + sqrt(19))**2).
-7*sqrt(19)
Simplify (sqrt(26) + sqrt(26)*1 + sqrt(26))/sqrt(2) + 2.
2 + 3*sqrt(13)
Simplify -2 + sqrt(133)/((sqrt(7) + sqrt(14)/sqrt(2))*2).
-2 + sqrt(19)/4
Simplify sqrt(114)/sqrt(384) - (sqrt(133)/sqrt(567))**2.
-19/81 + sqrt(19)/8
Simplify (2*(sqrt(275) + -2 + (sqrt(275) + 2 - sqrt(275))))**2.
1100
Simplify 5 + -2*sqrt(567) + sqrt(567) + (sqrt(567) - (1 + sqrt(567) + -4 + sqrt(567)))**2.
-63*sqrt(7) + 581
Simplify 2 + sqrt(5) + -2 + (sqrt(1815)/sqrt(3))**2.
sqrt(5) + 605
Simplify -5*(sqrt(19)*-5 + 3).
-15 + 25*sqrt(19)
Simplify ((sqrt(19) + -1*sqrt(19))*-5)**2 + -3*sqrt(304).
-12*sqrt(19)
Simplify 6*(-2 + sqrt(125))**2 - sqrt(125) - (sqrt(125)*-1 + -4).
-120*sqrt(5) + 778
Simplify 5 + 1 + sqrt(68)/sqrt(4) + 4.
sqrt(17) + 10
Simplify (-1*sqrt(14)*-2)/(sqrt(6)/sqrt(3)*-4).
-sqrt(7)/2
Simplify 5*(sqrt(5) - (sqrt(180) + -3)).
-25*sqrt(5) + 15
Simplify 3*1*sqrt(343) + ((sqrt(448)*1)**2 - (sqrt(7) + 1)*-5).
26*sqrt(7) + 453
Simplify -4 + sqrt(2299)*1 + sqrt(2299).
-4 + 22*sqrt(19)
Simplify sqrt(20)/(sqrt(20)/(sqrt(5) + (sqrt(80) - sqrt(5)))).
4*sqrt(5)
Simplify (-3*(sqrt(1200) - (sqrt(1200) + 0 - sqrt(1200))) - (sqrt(1200) + -1)*-2)**2.
80*sqrt(3) + 1204
Simplify 2 + (sqrt(1300))**2.
1302
Simplify 1*(2*sqrt(256))/sqrt(8).
8*sqrt(2)
Simplify 2 + (sqrt(1088) + 2)**2 + -1.
32*sqrt(17) + 1093
Simplify (0 + sqrt(3) + -1 + sqrt(3) + sqrt(3)*2 + 5)**2.
32*sqrt(3) + 64
Simplify (0 + -1 + sqrt(17))**2 + -2.
-2*sqrt(17) + 16
Simplify (4*(-6*3*sqrt(242) + sqrt(242) - sqrt(242)))**2.
1254528
Simplify (-3*(sqrt(833)*-2 + -3*sqrt(17)*2))**2.
61200
Simplify (sqrt(68)*2 - sqrt(68)) + -2 + sqrt(68) + 0.
-2 + 4*sqrt(17)
Simplify -4*sqrt(448)*1 - (1*(sqrt(448) - (sqrt(448) - (sqrt(448) + 0))) + sqrt(448)).
-48*sqrt(7)
Simplify (sqrt(2057) - (4 + sqrt(2057)))**2 + -2.
14
Simplify (-2 + (sqrt(80) - (0 + sqrt(80)) - sqrt(80)))**2.
16*sqrt(5) + 84
Simplify sqrt(35)/(sqrt(7) - -3*sqrt(7)) - (1*sqrt(5) + -3 - sqrt(5)).
sqrt(5)/4 + 3
Simplify ((-1*sqrt(147))/sqrt(3))/sqrt(7) - sqrt(77)/((sqrt(132)*-2)/sqrt(12)).
-sqrt(7)/2
Simplify -5*(3 + 0 + sqrt(2) - sqrt(2) - (0 + sqrt(288))).
-15 + 60*sqrt(2)
Simplify -1*(sqrt(5) + sqrt(5) + -1*sqrt(5)*-1).
-3*sqrt(5)
Simplify 4*(0 + sqrt(475)).
20*sqrt(19)
Simplify 2*(sqrt(17) + 2) - (sqrt(272) - (sqrt(272)*1)**2).
-2*sqrt(17) + 276
Simplify -5*(3 + sqrt(17) + ((sqrt(170)*-1)/sqrt(10) - sqrt(17)))*-1.
-5*sqrt(17) + 15
Simplify (((sqrt(68) - (sqrt(68) + -2*sqrt(68) + sqrt(68) - sqrt(68))) + sqrt(68) + sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68))*1)/(sqrt(36)/(2*sqrt(9))).
2*sqrt(17)
Simplify (-1*(3 + sqrt(3) + -1 + sqrt(33)/sqrt(176)))**2.
5*sqrt(3) + 139/16
Simplify (sqrt(132) - (sqrt(132) + sqrt(132) + sqrt(132)*-2 + sqrt(132) - sqrt(132)))/sqrt(12) - (sqrt(11) - (sqrt(704) + 4 + sqrt(11)))**2.
-720 - 63*sqrt(11)
Simplify (sqrt(15)/sqrt(320))**2.
3/64
Simplify -5 + -1 + sqrt(75) + ((1*sqrt(75))**2 + 2 - sqrt(75)).
71
Simplify (2*sqrt(567))**2 + -3.
2265
Simplify -1 + sqrt(19)*1 - ((sqrt(57)/sqrt(3) - sqrt(19)) + 1 + sqrt(19)).
-2
Simplify ((sqrt(1980) + -2*sqrt(1980) + sqrt(55))/(sqrt(110)/sqrt(40)))**2.
500
Simplify sqrt(245)*1 + sqrt(245) + 4*sqrt(20).
22*sqrt(5)
Simplify ((0 + sqrt(1100) - sqrt(1100)) + (sqrt(11) + -1)*-5)**2.
-50*sqrt(11) + 300
Simplify (4*(2*sqrt(300) + -3))**2.
-1920*sqrt(3) + 19344
Simplify sqrt(77)/((sqrt(99)*-2 - sqrt(99))/sqrt(9)).
-sqrt(7)/3
Simplify (-2 + sqrt(11))**2*-4 + (sqrt(11) - (sqrt(11) + 0 + sqrt(539))**2).
-764 + 17*sqrt(11)
Simplify 2 + sqrt(36)/(-2*sqrt(588) + sqrt(12)).
-sqrt(3)/13 + 2
Simplify sqrt(42)/(sqrt(6)*3*-1 - sqrt(6)).
-sqrt(7)/4
Simplify 5 + sqrt(3)*1 + -5 + sqrt(21)/(-2*sqrt(7) + sqrt(7)).
0
Simplify (-4 + -1 + sqrt(396) - (sqrt(396)*3 + -2))**2.
72*sqrt(11) + 1593
Simplify -5*(sqrt(52) - (1*sqrt(364))/sqrt(7))/(sqrt(36)*2).
0
Simplify (5*sqrt(36)/sqrt(3))/(-4*sqrt(64)).
-5*sqrt(3)/16
Simplify ((sqrt(80) + (sqrt(80) + (sqrt(80) - -2*sqrt(80)) - sqrt(80)) - sqrt(80))/sqrt(8))/((sqrt(135)/sqrt(3))/sqrt(9)).
3*sqrt(2)
Simplify (sqrt(180) + (sqrt(180) - -2*sqrt(180)))/sqrt(4) - (1*sqrt(5)*2 + (sqrt(20)/(sqrt(16)/sqrt(4)) - sqrt(5))).
10*sqrt(5)
Simplify ((sqrt(44) + -1)*-3 - (-4*(sqrt(66) - sqrt(66)*-1))/sqrt(6))**2.
12*sqrt(11) + 53
Simplify (sqrt(704) - -1*((sqrt(704) + 1)**2 + sqrt(704))) + -2.
32*sqrt(11) + 703
Simplify (2*(sqrt(539) + 1)*-4)**2.
896*sqrt(11) + 34560
Simplify -2*(-4 + (sqrt(7)*-3)**2 + 0 + sqrt(7) + 5).
-128 - 2*sqrt(7)
Simplify ((sqrt(168)/(sqrt(3)*-2) - sqrt(56))/sqrt(8))**2.
63/4
Simplify (4 + -2 + sqrt(304)*-2)**2.
-32*sqrt(19) + 1220
Simplify ((-1*sqrt(704) + sqrt(704))**2 - sqrt(704))*-6.
48*sqrt(11)
Simplify 3 + (sqrt(36)/sqrt(192) - (-1 + 1*sqrt(3))).
-3*sqrt(3)/4 + 4
Simplify (sqrt(44)/sqrt(4)*-6*-3)**2.
3564
Simplify ((sqrt(19) + 0)*2)**2 + 1 + 3*sqrt(1216)*1.
77 + 24*sqrt(19)
Simplify (-1*(1 + -2*sqrt(288)))**2.
-48*sqrt(2) + 1153
Simplify (-2*sqrt(55)/sqrt(5) - (1*sqrt(99))**2)*5.
-495 - 10*sqrt(11)
Simplify 4*(sqrt(168)/sqrt(4))/sqrt(6) - (sqr | {
"pile_set_name": "DM Mathematics"
} |
*x + 4. Determine -4*f(a) + 9*p(a).
2*a**3 + 10*a**2 - a + 2
Let u(p) = 2*p**3 - 3*p**2 + 2*p. Let k(q) = -6*q**3 + 10*q**2 - 7*q - 1. Suppose r - 5*x = 13 - 53, -x = 0. Let i be r/6 - 4/12. Determine i*u(c) - 2*k(c).
-2*c**3 + c**2 + 2
Suppose -5*t = -r + 30 + 4, 4*r = 16. Let q be 4*(-2 - 3/2). Let x = q + 24. Let i(d) = -4*d - 3. Let v(j) = -7*j - 5. Give t*v(l) + x*i(l).
2*l
Let p = 11 - 12. Let c(o) = 3*o**3 - 2*o**2 + 2. Let h(j) = j**3 - j**2 - j. Give p*c(t) + 2*h(t).
-t**3 - 2*t - 2
Suppose -j + 2*j = -2*y - 6, y = -4. Suppose -j*w = 2*n - 1 - 9, w + 3 = -3*n. Let f(b) = 0 + 2*b - 5*b - 4. Let z(u) = 7*u + 9. Determine w*f(h) + 4*z(h).
h
Let t(l) = -24*l + 14. Let c(h) = -5*h + 4 + 3 - 8 + 4. Let j(s) = -s**3 + 3*s**2 + 6*s - 5. Let b be j(4). Calculate b*t(n) - 14*c(n).
-2*n
Let f(t) = 8*t**3 + 17*t**2 - 17*t. Let b be 2/(4 + (-10)/3) + 48. Let h(a) = a**3 + 2*a**2 - 2*a. What is b*h(r) - 6*f(r)?
3*r**3
Let x(w) = -7*w**2 - 7*w + 5. Suppose -4*l = 4*g - 9 - 39, g - l - 8 = 0. Let b(h) = -5*h - g*h - 10*h**2 + 7 + 5*h. What is 5*b(t) - 7*x(t)?
-t**2 - t
Let s(h) = -8*h + 6. Let f(g) = -7*g + 5. Suppose 0 = -q - t + 10, 0 = 2*q - 4*t - 2. Suppose 4*n + 44 = -4*r, -2*n + 11 = -5*r - 2. What is n*s(k) + q*f(k)?
-k - 1
Let o(w) = -w**3 - w**2 + w - 1. Let a be (-6)/(-12) + (-2)/(-4). Let l(q) = -7*q**3 - 8*q**2 + 6*q - 6. Calculate a*l(m) - 6*o(m).
-m**3 - 2*m**2
Let i(a) = -31*a. Let y(n) = 21*n. Give -5*i(m) - 8*y(m).
-13*m
Suppose 0 = g - 2. Let j(l) = 2*l**2 + 3*l + 3. Let k be ((-3)/2)/((-6)/8). Suppose -k*f + 6 = -0*f. Let c(q) = -2*q**2 - 2*q - 2. Give f*c(y) + g*j(y).
-2*y**2
Let n(y) = -y**2 + 0 + 0. Let v(a) be the third derivative of -2*a**5/15 + a**3/3 - 2*a**2. Let t = 11 - 5. Determine t*n(b) - v(b).
2*b**2 - 2
Let h(v) = 4*v + 2. Suppose -5*u + w + 7 + 1 = 0, -4*w = u + 11. Let a(l) = -l. Calculate u*h(r) + 2*a(r).
2*r + 2
Suppose 2*w = w. Let f(q) = w - 2 + 1 + 0. Let c(s) = -2*s**2 + 5. Calculate -c(r) - 4*f(r).
2*r**2 - 1
Let z(a) = -a**3 - a**2 - a - 1. Let y(s) = -s**3 + s**2 + s + 1. Suppose n + 6 - 7 = 0. Determine n*y(x) + z(x).
-2*x**3
Let j(n) = 15*n + 5. Let f = 31 + -35. Let z(o) = 5*o + 2. Give f*j(r) + 11*z(r).
-5*r + 2
Let d(h) be the first derivative of h**3/3 - h**2/2 + h - 16. Let k(w) = -7*w**2 + 6*w - 6. Give -6*d(f) - k(f).
f**2
Let d(z) = -9*z**2 - z + 1. Let v(c) = c**2. Determine -d(g) + 3*v(g).
12*g**2 + g - 1
Let d(w) = 2*w**3 - 4*w**2 + 4*w. Let a(m) = -m**3 + 2*m**2 - 2*m. Give -7*a(l) - 4*d(l).
-l**3 + 2*l**2 - 2*l
Let z be (-11)/2 - (-1)/(-2). Let b(h) = -163*h - 7 + h**2 - 5*h**2 + 317*h - 161*h. Let o(j) = 5*j**2 + 8*j + 8. What is z*b(p) - 5*o(p)?
-p**2 + 2*p + 2
Let o(w) = 4*w**2 - 9. Suppose -6*k = -7*k - 5. Let t(i) = 3 - 2*i**2 + 1 - 4 + 5. Let r(c) = c**2 - 5*c + 3. Let n be r(3). Calculate k*t(x) + n*o(x).
-2*x**2 + 2
Let j be ((-4)/10)/(1/5). Let u = -77 - -55. Let r(w) = -12 + 0 + 3*w**2 + 7*w**2 - w. Let o(n) = -n**2 + 1. Calculate j*r(c) + u*o(c).
2*c**2 + 2*c + 2
Let d(z) be the second derivative of z**2/2 - 20*z. Let f(g) = 2*g + 5. Suppose -5*n = -3 - 2. Give n*f(w) - 6*d(w).
2*w - 1
Let l(o) = -13*o**3 + 13*o**2 - 7*o - 10. Let j(y) = -9*y**2 - 26 - 17 + 5*y + 9*y**3 + 50. Let u = -13 + 18. Determine u*l(w) + 7*j(w).
-2*w**3 + 2*w**2 - 1
Let b(v) = -v. Let d(o) = -4*o**2 - 7*o. What is 21*b(p) - 3*d(p)?
12*p**2
Let b(d) = 5*d - 3. Let c(g) = 11*g - 7. Let v be -4*(0 - -1) - 3. Suppose -5*t + 9 = -2*t. Calculate t*c(p) + v*b(p).
-2*p
Let d(v) = -5*v + 2. Let w(h) = 11*h - 5. Determine -13*d(a) - 6*w(a).
-a + 4
Suppose 3*q + 29 = 2*v, 10 = -2*q - 0*q. Let n(k) = 8 + v*k - 1 + 2*k. Let h = 14 - 17. Let o(r) = -4*r - 3. Determine h*n(l) - 7*o(l).
l
Let g be -3*((-12)/9 + -2). Let n(a) = 5*a**3 + 3*a**2 + 3*a. Let j(l) = l**3 + 0*l**3 + 11*l**2 + 15*l**3 - l**2 + 10*l. Give g*n(d) - 3*j(d).
2*d**3
Suppose -19*g + 35 + 22 = 0. Let d(j) = -1 + 1 - 1. Let h(p) = 3*p + 4. Calculate g*d(q) + h(q).
3*q + 1
Let c(k) be the third derivative of k**5/15 + k**4/6 - 2*k**2. Let p(h) = -h**2 - 6*h. Let j(r) = r. Let u(v) = 5*j(v) + p(v). Give c(a) + 6*u(a).
-2*a**2 - 2*a
Let y(o) = -11 + 6 - 12*o**2 - 1 + 4*o + 15*o**2. Let m(i) = 5*i**2 + 7*i - 11. Let h be (-2)/((-1 - -2)/2). Give h*m(l) + 7*y(l).
l**2 + 2
Let a(q) = -37*q**3 + 5*q**2 - 5*q. Let l(f) = 19*f**3 - 3*f**2 + 3*f. What is 3*a(k) + 5*l(k)?
-16*k**3
Let u be 2/11 + 40/22. Let a(y) = -2*y - 2. Let k(i) = 8*i + 9. Calculate u*k(m) + 9*a(m).
-2*m
Let g(k) = -3*k - 7. Let w(f) = 2*f + 7. Give -3*g(n) - 4*w(n).
n - 7
Let w(b) = -5*b**3 + 3*b**2 - 2*b + 3. Let d(z) = -16*z**3 + 8*z**2 - 6*z + 8. What is -3*d(a) + 8*w(a)?
8*a**3 + 2*a
Let t(x) = 3*x**2 - 7*x + 8. Let q(s) = 3*s**2 - 6*s + 8. What is 5*q(n) - 4*t(n)?
3*n**2 - 2*n + 8
Let g = 15 + -13. Let h(t) = -16*t**2 + 21*t - 6. Let s(d) = 3*d**2 - 4*d + 1. Give g*h(f) + 11*s(f).
f**2 - 2*f - 1
Let h(d) = -5*d**3 - 6*d**2 - 5*d - 3. Let u(g) = 11*g**3 + 13*g**2 + 11*g + 7. Give 13*h(b) + 6*u(b).
b**3 + b + 3
Let k(y) = -1. Let w(v) be the third derivative of -v**5/30 - v**4/24 + v**3/6 + 6*v**2. What is -3*k(u) - w(u)?
2*u**2 + u + 2
Let k(w) = 2*w**3 - 7*w**2 - 9*w + 5. Let r(q) = q**3 - 4*q**2 - 5*q + 3. Give -3*k(a) + 5*r(a).
-a**3 + a**2 + 2*a
Let b(m) = -23*m**3 + 17*m**2 + 17*m - 11. Suppose -5 = -4*o - 4*u + 7, -4*o = 3*u - 15. Let v(t) = -4*t**3 + 3*t**2 + 3*t - 2. Calculate o*b(y) - 34*v(y).
-2*y**3 + 2
Let a(n) = -n + 2. Let j(o) = -3*o**3 - 5*o - 9. Let d(k) = -5*a(k) - j(k). Let f = 7 + -5. Let u(w) = w**3 + 3*w. Determine f*d(h) - 7*u(h).
-h**3 - h - 2
Let h(r) = -2*r**2 - 4*r - 8*r**2 + 3*r**3 + r**2 + 5 + 5*r**2. Let x(j) = 2*j**3 - 3*j**2 - 3*j + 4. Calculate -3*h(b) + 4*x(b).
-b**3 + 1
Let p(k) = -6*k - 1. Let s be (-34)/289 + (-567)/(-51). Let w(j) be the first derivative of j**2/2 - 1. Give s*w(a) + 2*p(a).
-a - 2
Let w(t) = 17*t**2 - 12. Let c(q) = 4*q**2 - 3. Let k(x) = -9*c(x) + 2*w(x). Let f(a) = -5*a**2 + 7. Give -3*f(b) + 7*k(b).
b**2
Let z(l) = -7*l**3 + 8*l**2 - 7. Let t(g) = 20*g**3 - 23*g**2 + 20. Suppose -2*f - 12 = -0*f. Give f*t(y) - 17*z(y).
-y**3 + 2*y**2 - 1
Let i(y) = 0*y**2 + 0*y - 3*y**2 - 3 + 3*y - y. Let r(g) = -7*g**2 + 5*g - 7. Calculate -10*i(c) + 4*r(c).
2*c**2 + 2
Let r(o) = 3*o**3 - 5*o**2 - o + 4. Suppose 2 - 6 = -3*d + 2*s, 2 = -d - s. Let w(b) = b + d*b - 3*b**3 - 5 + 6*b**2 - b**3. Determine 6*r(a) + 5*w(a).
-2*a**3 - a - 1
Let d(h) = 2349*h + 203. Let o(t) = -58*t - 5. What is -5*d(b) - 203*o(b)?
29*b
Let g(z) = -z. Let u(n) = -2*n**2 + 2. Give g(q) - u(q).
2*q**2 - q - 2
Let m(w) = -w**2 + 6*w + 4. Let i(a) = 3*a**2 - 5 + 7 - 2 + 3*a. Let x be i(-2). Let t(k) = k**2 - 5*k - 3. Determine x*t(u) + 5*m(u).
u**2 + 2
Let k(w) = 4*w - 1. Let r be 0 - -2 - 0/1. Suppose -4*g + 16 = -8. Let m(n) = 8*n + 2*n - g - 4*n + 15*n. Determine r*m(y) - 11*k(y).
-2*y - 1
Let t(c) = 4*c**2 + 4. Let b(s) = s**2 + 2*s + 5. Let w(n) = n**2 + 5*n + 11. Let g(h) = 5*b(h) - 2*w(h). Let i = 28 + -34. What is i*g(p) + 5*t(p)?
2*p**2 + 2
Let b(l) = 2*l**2 - l + 1. Let i(n) = -6*n**2 + 3*n - 3. Let u be (1/2)/((-5)/80). Let r = 7 + u. Let h be (-6)/9*(r - 11). What is h*b(j) + 3*i(j)?
-2*j**2 + j - 1
Let i(g) = g**3 - 23*g**2 + 23*g - 28. Let k be i(22). Let q(c) = -2*c**3 + 2*c**2 - 6*c - 3. Let r(a) = 4*a**3 - 4*a**2 + 13*a + 6. Calculate k*r(x) - 13*q(x).
2*x**3 - 2*x**2 + 3
Let s(w) = 3*w**2 - 2*w + 3. Let x(h) = 7*h**2 - 3*h + 5. Determine -5*s(l) + 3*x(l).
6*l**2 + l
Let a(p) = p**3 - p**2 + p - 1. Let u(d) = 8*d**3 - 5*d**2 + 5*d - 5. Calculate -5*a(b) + u(b).
3*b**3
Let w(a) = 2*a + 5. Let x(y) = 2*y + 2. Let q(m) = 3*m + 3. Let k(n) = 3*q(n) - 5*x(n). Give 5*k(r) + w(r).
-3*r
Let b(k) = k + 1. Let n(t) = 10*t + 4. Give 6*b(v) - n(v).
-4*v + 2
Let q(b) = -2*b + 13. Let p(s) = -10*s + 66. What is -2*p(m) + 11*q(m)?
-2*m + 11
Suppose 1 = -2*g + 3. Let z(v) = 0*v - v - g - 1 + 0*v. Let a(y) = y + 3. Determine 5*a(x) + 7*z(x).
-2*x + 1
Let c(f) = 3*f**2 - 4*f - 4. Let y = 18 + -19. Let n(h) be the second derivative of h**4/12 - h**3/6 - h**2/2 + h. Give y*c(i) + 4*n(i).
i**2
Let t(h) = h**2 + 1. Let k be -8 + (-44)/(-6) + 40/6. Let v(g) = -7*g**2 - 8. Determine k*t(m) + v(m).
-m**2 - 2
Let u(g) = 22*g - 4. Let q(t) = -7*t + 1. What is -7*q(f) - 2*u(f)?
5*f | {
"pile_set_name": "DM Mathematics"
} |
0. What is the units digit of v?
4
Let s = 14 + -9. Let v(p) = 14*p + 3. Let k be v(s). Let w = -44 + k. What is the tens digit of w?
2
Let b(r) = -r**2 + 3*r - 6. Let m be b(4). Let q = m + 14. Suppose 4*i - 151 = -d, 2*d = i + q*d - 29. What is the tens digit of i?
3
Let h(r) = r**2 - 13*r + 2. Let m = 14 - 1. Let z be h(m). Suppose z*f = 4*f - 100. What is the units digit of f?
0
Let j be 0*(-1 + (-8)/(-6)). Suppose 4*h + 3*c - 83 = j, -2*c + 42 = h + h. Let s = 35 - h. What is the tens digit of s?
1
Suppose 54*y - 45*y - 22959 = 0. What is the thousands digit of y?
2
Let m = 8 + -11. Let c be (6/(-3) - m) + -7. What is the units digit of c/(-8) + 186/8?
4
What is the hundreds digit of -5 + 808 - (2 + 2 + -3)?
8
Suppose 704 = -73*t + 81*t. What is the tens digit of t?
8
Suppose 0 = 5*r - 3*f - 22, 5 - 1 = -f. Suppose 5*t - s = 92, -r*t + 4*s + 26 = -0*t. What is the tens digit of t?
1
Let g(q) = q. Let n(a) = 5*a - 6. Let j be n(4). Suppose -v - j = -2*l - 0*v, -v + 21 = 3*l. What is the units digit of g(l)?
7
Let n(d) = -d**3 - d**2 - d. Let o be n(-1). Let a be 3 - ((-2)/3 - (-24)/9). Suppose 2*w = k + 14, -2*w - o = 3*k + a. What is the units digit of w?
5
Suppose q = 35 - 30. Suppose h - 2*h = 0, 168 = 2*a + q*h. What is the units digit of a?
4
What is the hundreds digit of (-60 - -60) + -3271*2/(-2)?
2
Suppose -3*p = -k - 2*p + 1045, -4*p + 4156 = 4*k. What is the hundreds digit of k?
0
Let f(d) be the first derivative of 5*d**4/4 + d**3/3 + d + 9. Let v be f(2). Suppose -3*u + 78 = -v. What is the tens digit of u?
4
Let l(d) = d**2 - 3*d + 2. Let i be l(2). Suppose -7*p - 5*v = -4*p - 321, i = -3*p + 2*v + 342. What is the tens digit of p?
1
Let l = -106 - -489. What is the hundreds digit of l?
3
Let z = -35 - -40. Let o(c) = c**2 + 9*c - 4. What is the units digit of o(z)?
6
Let o = 3241 + -2227. What is the thousands digit of o?
1
Let m = 1196 + 21. What is the units digit of m?
7
Suppose -2*p + p + 2 = 0. What is the tens digit of 6/(-2) + (p - -46)?
4
Let z(g) = 4*g**2 - 2*g. What is the tens digit of z(3)?
3
What is the tens digit of 150/(-60)*-1*9032/10?
5
Let n = 1768 - 1143. What is the units digit of n?
5
Let r be 1*(-3)/1 - -9. Suppose -8*d + r*d = 0. Suppose 3*t + 21 = 6*t - 4*j, -5*t + j + 18 = d. What is the units digit of t?
3
Let q be (-6)/(-8)*(-10 - -6). Let d = q + 8. Suppose -37 = -3*b + 2*l, -3*l + 29 = d*b - 20. What is the tens digit of b?
1
Let n(p) = 2*p**2 - 1 + p - 1 + 2*p**2 - 3*p**2. Let k be n(-3). What is the units digit of (k/8)/((-2)/(-68))?
7
Let y = -4 + 7. Suppose y = 3*b - 0. What is the tens digit of (0 - -22)*2 + b?
4
Let r be -4 + (4 + -1 - -2). What is the units digit of 23/(-2*r/(-4))?
6
Let z be (17/(-2))/(3/(-6)). Let u = z + -13. Suppose 38 = 2*q + r, u = -3*q - 4*r + 61. What is the tens digit of q?
1
Let w = 671 - -19. What is the units digit of w?
0
Suppose 2*q + 33 = 41. Suppose -q*r = -4*v + 476, 3*v + 4*r - 268 - 82 = 0. What is the hundreds digit of v?
1
What is the thousands digit of (164 - 168)*-321*(3 + -2)?
1
Let q = 171 + -117. Let b = q - 30. Let u = -17 + b. What is the units digit of u?
7
Let f = -119 - -82. Let z be -19 - -26 - (68 + 3). Let i = f - z. What is the units digit of i?
7
Suppose 0 = -r - 65 + 182. Suppose 89 + r = x. What is the hundreds digit of x?
2
Let o be 4/12 - 980/(-12). Let u(z) = -6*z**3 - z**2 + 5. Let j be u(-2). Let r = o - j. What is the units digit of r?
3
Let w(f) = f**2 - 5*f + 3. Let c be w(6). Let j = c - 7. Suppose r = j*u - 60, -2*u + 0*u + 2*r = -62. What is the tens digit of u?
2
Let o(j) = -3*j + 51. Let v be o(0). Let w = 65 + v. What is the tens digit of w?
1
Let v = -113 + 41. What is the tens digit of 0 + (-1 - v) + 2?
7
Suppose 4*j - 10 = 10. Suppose 2*f - j*f + 2*h + 179 = 0, 3*h = -f + 67. What is the units digit of f?
1
Let l be (1 + -2)/((-2)/(-4)). Let f be (4/6)/(l/(-18)). What is the tens digit of (-17)/(-2) - f/(-4)?
1
What is the tens digit of 6/(-6)*(-2 - 219)?
2
Suppose -k = -5*o - 12, 8 = 3*k - 2*o + o. Let z(t) = 20*t + 9*t**2 + 2 + t**3 - 18*t + k. What is the units digit of z(-8)?
2
What is the units digit of ((-264)/(-55) - 3/(-15)) + 10?
5
What is the hundreds digit of (-3185)/26*88/(-10)?
0
Suppose 2*t + 260 = 7*t. Let u = t - 7. What is the units digit of u?
5
Let u = -98 - -212. What is the units digit of u?
4
Let d(o) = 32*o - 206. What is the tens digit of d(10)?
1
Suppose -7063 = 2*s - 9*s. What is the units digit of s?
9
Let l(v) = 2*v + 12 + 0*v + 4*v + 5. Suppose 2*s - 3*j - 3 = 0, 3*s = 2*s + 2*j. What is the tens digit of l(s)?
5
Let f(v) = -3*v**3 - 6*v**2 + 35*v + 216. What is the tens digit of f(-11)?
9
What is the thousands digit of 1205*1 - (-4 - -12)?
1
Let a = 1670 + -607. What is the tens digit of a?
6
Suppose -2*o = -15*o + 7566. What is the units digit of o?
2
What is the tens digit of 7330/18 + 130/(-18) + 7?
0
Suppose 4*c - 2*m - 2262 = 0, -5*c + 1259 = -m - 1573. What is the units digit of c?
7
Let i be (0 - -2 - 2)/(-1). Suppose 4*z - 2*x + 6*x + 8 = i, 2*z = -4*x - 8. Suppose z*g = 5*g - 20. What is the units digit of g?
4
Let o(t) = 7*t + 1. Let v be o(2). Let x = 18 - v. Suppose -4*p + x*p = -4*z + 38, -10 = -2*z - 4*p. What is the units digit of z?
9
Let s(c) = 2*c + 4. Let v be s(6). Suppose 0 = -n + 4*n - 5*z - 76, -3*z = n - v. What is the tens digit of n?
2
Let d be -3 - (-2 - 0 - 3). Suppose -d*o = -3*q - 9, -5*q - 4*o - 15 = -0*o. What is the tens digit of 26 - (7 - (q + 6))?
2
Suppose 11 + 1 = 6*b. Suppose 0 = 4*y - 3*g - 639, 4*y - b*y = -2*g + 302. What is the tens digit of y?
5
What is the hundreds digit of (-4 + -8)*15/(-12)*38?
5
Suppose -4*o + 2*o + 6 = 0. Suppose -4*p - o*k = -1176, 3*p - 313 = -3*k + 572. What is the units digit of p?
1
Let f(p) = -p**2 - 4*p - 3. Let y be f(4). Let v(j) = -j**2 - 12*j + 24. Let b be v(-15). Let l = b - y. What is the units digit of l?
4
Let y(a) = a + 10. Let o be y(-3). Suppose o*f - 663 = -208. What is the units digit of f?
5
Let b = 20 - 17. Suppose 4*n + 32 = b*p, 0 = 2*p + 2*n - 40. What is the tens digit of p - 3/(3 - 6)?
1
Let j = 10 - 18. Let f = -66 - -26. Let y = j - f. What is the units digit of y?
2
Let d = 9 - 9. Let c be (3 + d - -4) + -2. Suppose -c = -n, -2*n - 12 = 2*x - 34. What is the units digit of x?
6
Suppose -17 = -c - 4*k, -3*c = 2*c + 4*k - 37. Suppose 0 = -3*d - c*m + 315, -35 = 4*d + m - 455. Suppose 37 - d = -2*b. What is the units digit of b?
4
What is the tens digit of 2 + 3/(1 - 2) + 303?
0
Suppose 27*w - 29*w + 572 = 0. Let y = w + -75. What is the hundreds digit of y?
2
Let c(s) = 7*s**3 - 2*s - 1. Let m be c(-1). What is the units digit of m/(-4) - 850/(-20)?
4
Let i(s) = -6*s - 9. Suppose 3 = -3*q - 15. What is the tens digit of i(q)?
2
What is the units digit of (-621)/(-21) + 22/(-14) + 1?
9
What is the tens digit of 7/1 + -5 + 2930?
3
Suppose 4*i - 59 = 1. What is the units digit of 2/(-6) + 605/i?
0
Let p(t) be the third derivative of -t**5/60 + t**4/3 - 2*t**3/3 - 2*t**2. Let s be p(7). What is the units digit of 3 + (-6)/s - -12?
3
Let d(b) = b. Let p be (3/2)/((-2)/4). Let q(w) = 26*w**2 + 5*w + 1. Let l(j) = p*d(j) + q(j). What is the tens digit of l(1)?
2
Let x(o) = -o**2 + 10*o - 4. Let k be x(6). Suppose -k = d - 167. What is the hundreds digit of d?
1
Let m = -148 + 265. Suppose -m = -4*v - 9. What is the tens digit of v?
2
Suppose 2055 + 840 = 3*c. What is the hundreds digit of c?
9
Let n(m) be the third derivative of 3*m**2 + 0 - 1/30*m**6 - 1/60*m**5 + 0*m + 0*m**4 + 1/6*m**3. What is the units digit of n(-1)?
4
Suppose -864 = -4*p + 4*d, 3*d = 16*p - 11*p - 1076. What is the units digit of p?
4
What is the tens digit of (-25244)/(-16) + -6*1/8?
7
Let o(h) = h**3 - 10*h**2 - 8*h - 147. What is the hundreds digit of o(19)?
9
Suppose 0 = 7*m - 947 - 943. What is the units digit of m?
0
Let k(m) = 127*m**2 + 47*m + 221. What is the hundreds digit of k(-5)?
1
Let t(b) = 6*b**3 - 5*b**2 - 10*b + 13. What is the tens digit of t(5)?
8
Suppose 0*n + h + 8 = 3*n, h + 2 = 0. What is the tens digit of (1335/(-30))/(n/(-4))?
8
Let t be 1 + (-2 - 0) - -8. Suppose t*p + 24 = 3*p. What is the units digit of (0 - -6)*(-8)/p?
8
Let g = 1600 - 760. Suppose g = 6*v + 4*v. What is the units digit of v?
4
L | {
"pile_set_name": "DM Mathematics"
} |
**3 - 1097*y**2
Find the second derivative of -306905213*f**3*o**3 - 2*f**3*o + 9*f*o**3 - 695123*f*o + 3*o**3 wrt f.
-1841431278*f*o**3 - 12*f*o
Find the second derivative of 623038*j**2*v**3 + 3*j**2*v**2 - 38*j*v**3 - 3*j*v**2 + v**3 - 354*v**2 + 2 wrt j.
1246076*v**3 + 6*v**2
Find the second derivative of -700*t**5 - 164*t**3 + 14*t**2 + 226173857*t.
-14000*t**3 - 984*t + 28
What is the second derivative of -90055472*t**5 + 9*t + 3132049?
-1801109440*t**3
What is the first derivative of 280*z**4 - 174*z**3 - 6*z**2 - 20934184 wrt z?
1120*z**3 - 522*z**2 - 12*z
Find the third derivative of 62*c**6 - c**5 - 121334*c**3 + 107202591*c**2 wrt c.
7440*c**3 - 60*c**2 - 728004
Find the second derivative of q**2*v*z**2 + 67313*q**2*v*z + q**2*z**2 + 42*q**2*z - 1085381*q*z**2 wrt z.
2*q**2*v + 2*q**2 - 2170762*q
What is the third derivative of 32347818*m**4 - 34347224*m**2?
776347632*m
Find the third derivative of -1170873453*x**3 + 486*x**2 + 2748*x + 3.
-7025240718
What is the third derivative of -1376*g**4*o**2 + 1214*g**3*o - 5*g**3 - 32*g**2*o**2 - 2*g**2 + 87*o**2 + 146 wrt g?
-33024*g*o**2 + 7284*o - 30
Find the third derivative of -30677569*t**5 + 87*t**2 - 251320*t.
-1840654140*t**2
Find the first derivative of 2*t**2*y + 337*t**2 - 89*t*y - 21452*y - 20451 wrt y.
2*t**2 - 89*t - 21452
Differentiate -8123094*a*p*z - 9*a*p - 418447827*a*z wrt p.
-8123094*a*z - 9*a
What is the derivative of 305834011*w + 288248880?
305834011
What is the first derivative of -866*g*n**2 - 25*g*n + 411804759*g + 23*n**2 - 19*n wrt n?
-1732*g*n - 25*g + 46*n - 19
Find the second derivative of 39511363*p**4 - 65060130*p.
474136356*p**2
What is the second derivative of 24307*u**4 - 11*u**2 - 4*u - 1306706 wrt u?
291684*u**2 - 22
What is the third derivative of -363*w**4 - 2720*w**3 - 7727*w**2 + 105?
-8712*w - 16320
Find the third derivative of 1274*j**4*s + j**4 + 40*j**3*s + 3*j**3 + 55*j**2 + 64*s + 606 wrt j.
30576*j*s + 24*j + 240*s + 18
What is the second derivative of -13534153*l**2 + 1774*l - 4518?
-27068306
Find the second derivative of -m**3*w**2 + m**3*w - 106*m**3 + 14*m**2*w**2 - 14*m**2 - 4*m*w**2 + m*w + 187*w**2 - 22*w wrt w.
-2*m**3 + 28*m**2 - 8*m + 374
What is the third derivative of 273185504*c**3 + 2*c**2 - 94*c + 112478?
1639113024
Differentiate 133369*q**4 + 2*q**2 + 3*q + 47066596 with respect to q.
533476*q**3 + 4*q + 3
What is the first derivative of 4611462*m**2 - 10092837 wrt m?
9222924*m
What is the derivative of 401256*n**4 + 6846623 wrt n?
1605024*n**3
Find the second derivative of -2*b**2*d**2*x - 2225*b**2*d*x + 511*b**2*d + b*x - 111588*d**3*x - 120*d**2*x - 17*d wrt d.
-4*b**2*x - 669528*d*x - 240*x
Differentiate -225*x**3 - 5*x**2 - 4072*x - 62268073 with respect to x.
-675*x**2 - 10*x - 4072
Find the third derivative of 10903223*a**6*h**2 + 3*a**2*h**2 - 12*a**2*h + 197*a*h**2 - 62*h**2 + 1 wrt a.
1308386760*a**3*h**2
What is the second derivative of 15702949*f**2 + 4851097*f wrt f?
31405898
What is the second derivative of -4*d**4 - 8645653*d**2 + 631*d + 7532?
-48*d**2 - 17291306
Find the second derivative of 183*f**3 + 6178*f**2 + 745*f - 5542.
1098*f + 12356
Find the third derivative of -7079*k**4 - 129*k**3 - 70*k**2 - 33*k + 121.
-169896*k - 774
Find the third derivative of 3729*f*p*v**3 - 5*f*p*v - f*p + 19*f*v**3 + 19*f - 24*p*v**3 + 45*p*v**2 + 25*p*v - 2*p + 9*v**3 - 17*v**2 wrt v.
22374*f*p + 114*f - 144*p + 54
Find the third derivative of -12637*j**5*l**2 + 540*j**5 + 119*j**2*l**2 + 61331*j*l**2 wrt j.
-758220*j**2*l**2 + 32400*j**2
What is the third derivative of -76257*h*x**3 + 807964*h*x**2 - 25*x**3 wrt x?
-457542*h - 150
What is the third derivative of 9176465*w**6 + 20*w**5 + 212*w**2 - 106*w - 450?
1101175800*w**3 + 1200*w**2
What is the third derivative of -s**5 - 303*s**4 - 1022*s**3 - 4057*s**2 + 3878 wrt s?
-60*s**2 - 7272*s - 6132
Find the third derivative of 248895*d**4 - 498*d**3 - 44*d**2 + 4*d + 348198.
5973480*d - 2988
What is the third derivative of 14292*i**6 - 6*i**4 + 23*i**3 + 5*i**2 + 3207838*i?
1715040*i**3 - 144*i + 138
Find the third derivative of -8301*w**5 - 233*w**4 + 10292749*w**2 wrt w.
-498060*w**2 - 5592*w
Differentiate 1684*n**3 - 1888*n - 246144891 wrt n.
5052*n**2 - 1888
What is the second derivative of 38618162*a**3 - 46991105*a?
231708972*a
Find the first derivative of -54003618*t**3 - 29694498.
-162010854*t**2
What is the third derivative of -32052*i**6 - 239*i**4 - 6976*i**2 - 4033 wrt i?
-3846240*i**3 - 5736*i
Find the second derivative of -c**2*m**3 + 6*c**2*m + 115*c**2 - 282*c*m + 46*m**5 + 4614*m**2 + 3 wrt m.
-6*c**2*m + 920*m**3 + 9228
What is the third derivative of 1312215868*m**3 - 492110166*m**2?
7873295208
What is the derivative of 12*f**3 + 1478*f**2 + 4*f + 41813429?
36*f**2 + 2956*f + 4
What is the derivative of -48062295*y**2*z + 23772213*y**2 wrt z?
-48062295*y**2
What is the second derivative of -1625343*v**2*z + 5*v**2 + 221*v*z + 5*v - 3*z + 696 wrt v?
-3250686*z + 10
What is the third derivative of -606963243*h**2*w**3 - h**2*w**2 + 38*h**2*w + 2*h*w**2 + 354547*h + w wrt w?
-3641779458*h**2
What is the second derivative of 6567397*y**2 - 2*y - 1804841 wrt y?
13134794
What is the derivative of 289*f**2*i - 516*f*i**2 + 2572*i**2 - 17 wrt f?
578*f*i - 516*i**2
What is the third derivative of -2*b**3*n*r - 154500*b**3*n + 19*b**3*r*z + 2*b**2*n*z + b**2*n + 3*b**2*r + 5*b - 592*r*z + 61*z wrt b?
-12*n*r - 927000*n + 114*r*z
What is the second derivative of 2724665*i**2 - 24*i + 381922?
5449330
Find the third derivative of -4*o**6 + 16*o**5 + 13238*o**3 + 527135*o**2 wrt o.
-480*o**3 + 960*o**2 + 79428
Find the second derivative of -760184523*y**3 - 1018698613*y.
-4561107138*y
What is the second derivative of -226981925*w**3 - 214614817*w?
-1361891550*w
Find the second derivative of 115*f**2*g**3*k**2 - 6*f**2*g*k + 83*f**2*k**2 + f**2*k - 2*f*g*k**3 + 235*f*k**3 + 3265*g**3*k**3 + g*k wrt g.
690*f**2*g*k**2 + 19590*g*k**3
What is the third derivative of -13678923*r**4 - 3232574*r**2 - r?
-328294152*r
Find the second derivative of -b**5 - 4449353*b**3*l**2 + 1119*b*l**2 - 3939*l wrt b.
-20*b**3 - 26696118*b*l**2
Find the second derivative of 29*f**4*z - 147963*f**2*z**2 - 31531*f*z**2 - 227*f wrt f.
348*f**2*z - 295926*z**2
What is the second derivative of 66128458*d**2 + d - 15003458 wrt d?
132256916
Find the third derivative of 1237648*i**3 - 12711094*i**2 wrt i.
7425888
What is the second derivative of 8*g**2*v**2 + 12*g**2*v - 2*g**2 - 25*g*v**2 - 6*g*v - 25*g - 99917*v**2 - 1204*v wrt v?
16*g**2 - 50*g - 199834
Find the third derivative of 93*f*k*r**3*u + 80*f*k*r**2*u**2 + 1202*f*k*r**2*u - 3*f*k*r**2 - 2*f*r**2 + 429671*k*r**3*u**3 + 2*k*r**2*u**3 + 2*r**2*u wrt r.
558*f*k*u + 2578026*k*u**3
Find the second derivative of -2270*y**4 - 71*y**3 - 16*y**2 + 931723*y - 11.
-27240*y**2 - 426*y - 32
Find the first derivative of 14519972*u**2 + 7254010 wrt u.
29039944*u
What is the third derivative of 250753359*o**5 - 340*o**2 - 81695*o?
15045201540*o**2
Find the second derivative of 11461*s**5 + 83*s**4 - 438793*s + 2.
229220*s**3 + 996*s**2
What is the first derivative of 306*s**4 + 100747*s + 1841439?
1224*s**3 + 100747
Find the second derivative of -2826131*l**2*z - 51*l*z - 34479 wrt l.
-5652262*z
What is the second derivative of 2*m*s**5 - 3*m*s**4 - 1034*m*s - 4*m + 408760*s**2 + 36*s + 1 wrt s?
40*m*s**3 - 36*m*s**2 + 817520
Find the second derivative of -110295964*o**4 + o**2 + 214119249*o wrt o.
-1323551568*o**2 + 2
Find the third derivative of 121303142*w**3 + 2*w**2 - 18076240 wrt w.
727818852
Find the first derivative of -19150*c**3*l*r**2 + 17091902*c**3*r + 334*c*l*r**2 + 14*r**2 wrt l.
-19150*c**3*r**2 + 334*c*r**2
Find the second derivative of -18*i**3 - 18736*i**2 - 15641342*i wrt i.
-108*i - 37472
Find the third derivative of 1764376*u**2*v*z**3 - 23251*u**2*z - u*z**2 - v*z**2 - 2*v + 6 wrt z.
10586256*u**2*v
Find the third derivative of -2088196*r**3 + 8226123*r**2 + 5*r.
-12529176
Find the third derivative of 1939159*m**3*o**2 - 12*m**3*o + 18*m**2*o**2 - m**2 + 62*m*o**2 - 249*m*o + o**2 wrt m.
11634954*o**2 - 72*o
What is the derivative of 19819968*p**2*u**2*x + 4*p**2*x - 544*p**2 + 3*x - 59 wrt u?
39639936*p**2*u*x
Differentiate | {
"pile_set_name": "DM Mathematics"
} |
ming l is positive.
l**(1/3)
Simplify (((n/n**16)/(n**12/n))**31)**48 assuming n is positive.
n**(-38688)
Simplify (((x**(-1)*x*x)/x*x)**(1/21)/((x**(-2/7)*x)/x)**(41/5))**(-18) assuming x is positive.
x**(-1506/35)
Simplify (u/(u/(u*u**0*u))*u)/((u/(u*(u**(1/3)/u*u)/u))/u)*u**(-2/35)/(u/u**(-10/7)) assuming u is positive.
u**(89/105)
Simplify (w/(w/(w/w**(1/2))))**(14/5)*(w/(w*w**(1/5)*w))**(-43) assuming w is positive.
w**53
Simplify (b**(-5/4)*b**(-4/9)*b)/((b**(-1/2)/b)/b)**(9/2) assuming b is positive.
b**(95/9)
Simplify (i**(-25)/(i*i**(2/11)/i*i))/(i**5)**(13/6) assuming i is positive.
i**(-2443/66)
Simplify (c**(-2/21)*c**8/c)/(c**(-11)/(c*c/c**(1/7))) assuming c is positive.
c**(415/21)
Simplify (h/(h/h**(-1)))**(-3/49)*(h**(1/8)/h*h)/(h/(h**9/h*h)) assuming h is positive.
h**(3209/392)
Simplify ((n**(3/4))**(2/17))**(-7) assuming n is positive.
n**(-21/34)
Simplify (i*i**(1/14))**(-15)/((i/(i*i*i**(4/5)*i))/i**(3/11)) assuming i is positive.
i**(-10009/770)
Simplify ((c**1/((c**(-1/5)/c)/c*c*c*c))/((c/(c**(-6)/c))/c**(-6)))**(-2/21) assuming c is positive.
c**(46/35)
Simplify (w*w*w**(-14)*w*w*w**(-6))/(w**22/(w*w/(w*w**(-6)))) assuming w is positive.
w**(-31)
Simplify (((y/(y*(y**(2/5)*y*y)/y))**(1/19))**(10/11))**(-26) assuming y is positive.
y**(364/209)
Simplify (q**(-3)/(q*q*q**(-2/29)*q))/((q*q/q**(-1))/(((q*q**(-2/39)*q*q)/q)/q)) assuming q is positive.
q**(-9028/1131)
Simplify (o**(3/4)/(((o/((o**(-12)/o*o)/o))/o)/o))/(o**(-9/5)*o*((o*(o*o*o*o**19/o*o)/o)/o)/o) assuming o is positive.
o**(-609/20)
Simplify ((r**(-2/11))**(-2/35))**(-18) assuming r is positive.
r**(-72/385)
Simplify p*p**(-31)*p**(-19)*p**(-30/13)*p**(-1/4)/p assuming p is positive.
p**(-2733/52)
Simplify g**(2/63)*g*g*(g*g**(-16)*g)/g*g*g*g**(3/19)/g**19 assuming g is positive.
g**(-35683/1197)
Simplify (l**(6/17)/l**1)/(l**11*l/(l**(-3/10)*l)) assuming l is positive.
l**(-2031/170)
Simplify l**(2/37)/(l*l**(-4))*l/((l*l**(2/19))/l)*l*l*l*l**(2/5) assuming l is positive.
l**(25831/3515)
Simplify (b**(-5/4))**(1/7)/(b*b**6*b/(b/(b/b**6)*b*b)) assuming b is positive.
b**(-5/28)
Simplify (q**(2/9)/q**6*q**(-2)*q/(q*q/(q**(2/7)*q)))**(4/9) assuming q is positive.
q**(-1888/567)
Simplify ((((y*y*y**0)/y)/y)**(-14)*((y*y*y**(-1)*y)/y)**10)**(-16) assuming y is positive.
y**(-160)
Simplify ((((c/((c/(c**11/c*c)*c)/c))/c)/c*c)/(c**9/c))/(c**11*c*(c*c**(-3/4))/c*c*c) assuming c is positive.
c**(-45/4)
Simplify (h**10/(h/((h*h*h**(3/8)*h)/h)))/(h**(1/5))**32 assuming h is positive.
h**(199/40)
Simplify (p**(-3)/(p/p**(-2/13)))**(-42) assuming p is positive.
p**(2268/13)
Simplify ((q*q/(q*q*q*q/(((q*q**7)/q)/q))*q)/(((q/(q*q**(-11))*q*q)/q)/q)*(q/(q/q**(1/2)))**(-2/13))**26 assuming q is positive.
q**(-158)
Simplify (((r*r**(-3/4))/r*r)/r**(-6/23))/(r**(-21))**(4/5) assuming r is positive.
r**(7963/460)
Simplify (j/(j*j**(-14)))/(j/(j/(j*j*j/j**(-24)*j))*j)*j*j/j**(-6/5)*j*j**8 assuming j is positive.
j**(-14/5)
Simplify (t**3)**(-11/6)*(t/t**(-4))**(-32) assuming t is positive.
t**(-331/2)
Simplify (f**10*f*f/(((f**4/f*f)/f)/f)*f)/(f**(-5)/(f/(f*(f/f**(6/17))/f)*f)) assuming f is positive.
f**(295/17)
Simplify ((d*d**12/d)/d**(-14))/(d/d**(3/2)*d/(d/(d*(d/(d**(-17)*d))/d))) assuming d is positive.
d**(19/2)
Simplify ((h/(h**(-2)/h*h))/h)/h*h/(h*h**(-3))*(h**(-11)*h)/(h*h**(1/8)) assuming h is positive.
h**(-57/8)
Simplify t**24*t*t**(-3)*(t*t**15*t)**(-33) assuming t is positive.
t**(-539)
Simplify (f/f**(-29)*f/(f/f**3))/(f**(-5)*f**(1/42)) assuming f is positive.
f**(1595/42)
Simplify (a**(-15)/a*a/a**(-3))**(-21) assuming a is positive.
a**252
Simplify ((((z/(z*z/(z**(-3/7)*z)))/z)/z*(z/z**7)/z)/(z/z**0)**3)**(-28/3) assuming z is positive.
z**116
Simplify ((((g*g/(g/(g/(g*g**(2/31))*g)))/g)/g*g)/g**(2/19))/(g*g/((((((g/g**3)/g*g*g*g)/g)/g)/g)/g))**42 assuming g is positive.
g**(-147939/589)
Simplify (j*j**(1/15)*j)**(-1/73)*j**(-3/7)*j*j**(-7/2)/j assuming j is positive.
j**(-60659/15330)
Simplify (d**(-31)/(d/d**(-19)))/(d/(d/(d*d**(-28))))**(-6/25) assuming d is positive.
d**(-1437/25)
Simplify (c**(-15))**(-48)*(c*c*(c/((((c**13*c)/c)/c)/c))/c*c)**37 assuming c is positive.
c**424
Simplify ((c**(-1)*c**(-6))**(-26/5))**(-5/9) assuming c is positive.
c**(-182/9)
Simplify ((k*k**(1/4))**(-2/35)*(k**(-1/4)*k)**(8/3))**(-1/23) assuming k is positive.
k**(-27/322)
Simplify (((x/x**2)**(14/3))**0)**(-5) assuming x is positive.
1
Simplify ((x**0/(x/x**2*x))/(x/x**(4/3)*(x/(x/(x*x/x**(-1)*x)))/x))**(-13) assuming x is positive.
x**(104/3)
Simplify ((x*x*x**(2/17))/x*x*x**(-7/8))/(x**11)**(-43) assuming x is positive.
x**(64497/136)
Simplify (b/(b**10/b))/(b*b/(b**1/b))*(b**18)**(3/22) assuming b is positive.
b**(-83/11)
Simplify (o**(-8)*o)**49/((o*o**(1/10))/o)**(-1/53) assuming o is positive.
o**(-181789/530)
Simplify (u/u**11)**11*(u*u**(-13))**31 assuming u is positive.
u**(-482)
Simplify (h*h**(18/11)*h/(h**32*h)*h)/(h**(-3))**(1/8) assuming h is positive.
h**(-2463/88)
Simplify r**(-9/2)*r**(-3/10)*r*r**(3/2)/r*r**4/r assuming r is positive.
r**(-3/10)
Simplify ((b**(-5/3)/b)/b*b*b**12)/(b**0)**(-44) assuming b is positive.
b**(28/3)
Simplify ((i**(1/4))**(-29)/(i**(-2/5))**(-11))**(-44) assuming i is positive.
i**(2563/5)
Simplify (r*r**14*r)/r**5*(r**(-4))**(1/14) assuming r is positive.
r**(75/7)
Simplify ((z*z/(z/(z**(-9/4)*z))*z)/(z*z**0*z*z)*z*z*z*z**(6/7)*z*z**(1/6))**15 assuming z is positive.
z**(1165/28)
Simplify (t**(-3)*t**(4/7)*t**(-2)*t*t*t*t**(-5))**(-2/81) assuming t is positive.
t**(10/63)
Simplify (n**2)**(-1/30)/(n**(3/2))**37 assuming n is positive.
n**(-1667/30)
Simplify (r**5*r)**(1/69)*(r/r**(-5))**34 assuming r is positive.
r**(4694/23)
Simplify j**(-9)*j*j*j**(2/7)*j*(j*j**3/j)**(-2/13) assuming j is positive.
j**(-562/91)
Simplify (h/(h/(h*h**(7/4))*h))/((h**(-34)/h)/h)*(h**(3/16))**34 assuming h is positive.
h**(353/8)
Simplify (v/v**(-2/7))**(2/95)*v*v**(-8)*v*v*v*v*v**3 assuming v is positive.
v**(18/665)
Simplify ((a/((a/(a*a**(-1)*a*a))/a))**(1/10)/(((a*a**(2/3))/a)/a)**(-44))**(3/26) assuming a is positive.
a**(-431/260)
Simplify ((n**11/n)**(-34))**(-1/22) assuming n is positive.
n**(170/11)
Simplify (((h/(h*h*h**(2/7)/h))**(3/29))**50)**47 assuming h is positive.
h**(-14100/203)
Simplify (o**(-1)/o*o/o**(1/13))/(o*o/o**(-4/5)*o*o*o**(1/2)) assuming o is positive.
o**(-829/130)
Simplify (c/c**(-12))/(c/(c*(c/(c*c*c*c*c**(-15)*c))/c))*c*c**(-12)*c*c/(c*c**(-2)/c)*c assuming c is positive.
c**17
Simplify (u/(u/(u*u*u**(2/61)*u))*u/(u/((u*u**1*u)/u)))/(u/(u*u/u**(-4/17)))**(-4/5) assuming u is positive.
u**(20971/5185)
Simplify (m**2)**(12/5)*m**(-11)/m*m**(-1/9)/m assuming m is positive.
m**(-374/45)
Simplify ((q/(q/q**(-10)*q))**(-2/57))**(-42) assuming q is positive.
q**(-308/19)
Simplify w*w*w**(-15)*w**13*(w/(w**(4/7)/w))/((w*w*w**16*w*w)/w) assuming w is positive.
w**(-123/7)
Simplify w**(3/4)*(w**(1/5)*w)/w*(w**(-3/2))**(-11) assuming w is positive.
w**(349/20)
Simplify (((d*d**(-11/2))/d)/(d/(d/d**(-2/7))))/(d**7/(d/(d**1/d*d))) assuming d is positive.
d**(-171/14)
Simplify (((l**5/l)/l*l**(-1/5))**(2/53))**(-3) assuming l is positive.
l**(-84/265)
Simplify ((x*x**(2/5)*x**(-1/5))/(x*x**(-2/21)*x*x**(1/2)/x*x))**(-1/38) assuming x is positive.
x**(253/7980)
Simplify (h**(-3)/h)**(-37)*(h/(h**(-11)*h))/h**(-2/5) assuming h is positive.
h**(797/5)
Simplify (s**(-1/9)*s*s*s**(2/17)*s)/(s**(-1/3)/s)**34 assuming s is positive.
s**(7396/153)
Simplify (((t/(t*t**(-1/10)*t))/t)**7)**36 assuming t is positive.
t**(-2394/5)
Simplify j/(j/j**(-1/3))*j*(j/(j/(j*j*j**(-34))))/j*(j*j**(-4/9))/(j*(j/(j*j*j*(j/j**(3/14))/j))/j) assuming j is positive.
j**(-3779/126)
Simplify (((y/y**(9/5))/y**9)/((y/y**3)/y**(-1/7)))**15 assuming y is positive.
y**(-834/7)
Simplify ((p*(p/p**(-17/5)*p)/p)/p**(3/34))**(-42) assuming p is positive.
p**(-18963/85)
Simplify i/((i*i**(2/37))/i)*i/i**(-4/13)*(i/i**7)**(-5/3) assuming i is positive.
i**(5894/481)
Simplify (((l/(l**(-15)/l))/((l**3*l)/l))**(1/4))**(-32) assuming l is positive.
l**(-112)
Simplify ((f*f/(f*f**(1/33)))/(f/(f/(f*((f*f*f*f*f*f**(-22))/f)/f))))/(f/(f*f/((f/f**20)/f)*f*f))**16 assuming f is positive.
f**(12770/33)
Simplify (((s**(-1/7)*s)/s**(-1))**43)**29 assuming s is positive.
s**( | {
"pile_set_name": "DM Mathematics"
} |
3*d. Let n be s(6). Let j = -13 - n. Suppose -14 = -j*u + 4*u. Calculate the remainder when u is divided by 8.
6
Let m(b) = -b**3 - 6*b**2 - 4*b + 3. Let g be m(-5). Calculate the remainder when ((-32)/(-1)*-1)/(-1) is divided by (-40 + 6)*1/g.
15
Calculate the remainder when -122*(-1)/2 - 3 is divided by 12.
10
Let q = 21 - -4. What is the remainder when q is divided by 13?
12
Let t(x) = -2*x. Let k be t(-7). Suppose 0 = 3*p - 28 - k. What is the remainder when 41 is divided by p?
13
Let h be (46/(-3))/((-2)/6). Let v = 66 - h. Suppose t + 3*t - v = 0. Calculate the remainder when 7 is divided by t.
2
Let v(j) = 3*j**2 - 3 - 1 - 4*j + j**3 + 1. Let t be v(-4). Let w = t + 4. Calculate the remainder when 1 is divided by w.
0
Let r be (0 - 0)/(-2) + 0. Let c = 4 + 35. Suppose r = 3*u - c + 3. What is the remainder when 35 is divided by u?
11
Let w be 1*2/6*-3. Let t be (-4)/(1 + 1) - w. Calculate the remainder when 8 is divided by 1 - -2 - 0/t.
2
Let v = -31 + 54. What is the remainder when 158 is divided by v?
20
What is the remainder when ((-30)/4)/((-3)/2) is divided by 2?
1
Suppose -3*u + 2*r + 56 = 9, -42 = -3*u + 3*r. What is the remainder when u is divided by 10?
9
Suppose 0 = -5*u + 3*b + 72, -4*b + 1 + 3 = 0. Let h = 25 - u. Suppose 5*f = -r + 100, 4*f + r - 64 = 17. What is the remainder when f is divided by h?
9
Suppose 31*n - 32*n + 11 = 0. What is the remainder when n is divided by 4?
3
What is the remainder when 98 is divided by 92/4 - (-3 - -1)?
23
Let f = -4 - -2. Let b be (-2 - f)/(-3 + 2). Calculate the remainder when -1 - (-2 + b + -54) is divided by 19.
17
Suppose k - 93 = -3*k - 3*w, 99 = 4*k + 5*w. Let r = k + 13. What is the remainder when r is divided by 18?
16
Let i be 1*67 + (0 - 1). Suppose 0 = 4*q - 16 + 4. Suppose 88 = 5*w - j, q*w - 7*j = -2*j + i. Calculate the remainder when w is divided by 6.
5
Let o = 191 - 157. What is the remainder when 54 is divided by o?
20
Let s = 13 - -7. Calculate the remainder when s is divided by 6.
2
Let a(g) = g**2 + 7*g - 4. Let o be a(-8). Suppose 0 = 3*c - o*c + 17. Let h = c - 3. Calculate the remainder when 27 is divided by h.
13
Suppose -3*h + p + 339 = -175, -h + p + 174 = 0. What is the remainder when h is divided by 43?
41
Let c be (-4)/(-10) + 21/(-15). Calculate the remainder when (8/c)/((-3)/12) is divided by 2/(-10) - ((-324)/20 - -5).
10
What is the remainder when 64 is divided by 14/56 + (-67)/(-4)?
13
Let f = 6 - 1. Let a = 18 - 13. Suppose a*n = 42 + 28. Calculate the remainder when n is divided by f.
4
Let s(k) = 34*k**2 - 1. Let f be s(-1). Let i = f + -15. Calculate the remainder when i is divided by 5.
3
Suppose 2*s - 185 = -3*s + 4*o, 4*o - 46 = -2*s. Let d be (5/5)/((-2)/54). What is the remainder when s is divided by (-441)/d - (-2)/3?
16
Let x(j) = -5*j**3 + 3*j - 1. Let u be x(3). Let s = 186 + u. Calculate the remainder when s is divided by 15.
14
Let s(w) = w + 14. Let i = -25 - -39. Calculate the remainder when i is divided by s(-9).
4
Let q(o) = -3*o + 1. Let h be q(1). Let x(f) = 2*f**2 - 2*f - 2. Calculate the remainder when 29 is divided by x(h).
9
Suppose -2 = 2*o, 0 = b + o - 10 - 12. What is the remainder when 67 is divided by b?
21
Let m be (-1)/(18/10 - 2). Suppose m*n = n + 252. What is the remainder when n is divided by 22?
19
Suppose 2*w - 56 = -4*l, 4*l + 3*w = 5 + 49. What is the remainder when 59 is divided by l?
14
Suppose 5*j - 5*i - 260 = 0, 2*j = -i + 142 - 32. Calculate the remainder when j is divided by 28.
26
Suppose 8*v = 83 + 85. What is the remainder when 53 is divided by v?
11
Let r(h) = 3*h**2 + 2 - h**2 - 5*h + 2*h + 7*h. Let i be r(-4). Suppose -3*d = -12 - i. What is the remainder when d is divided by 4?
2
Suppose -h + 2*h - 5*y - 22 = 0, -h = 2*y + 6. Suppose 0 = 3*n + h*n - 185. Calculate the remainder when n is divided by 10.
7
Let v = 72 - -45. What is the remainder when v is divided by 17?
15
Let d(n) = n**2 + 6*n - 3. Let g be d(-6). Let i = 2 - g. Calculate the remainder when 6 is divided by i.
1
What is the remainder when 13 is divided by 4/(32/20)*2?
3
Let q(x) = x**2 + 2*x + 2. Let z be q(-1). What is the remainder when 5 is divided by z + 4/(4 + 0)?
1
Suppose -2*m - 4 = -14. Suppose 0 = 9*w - 13*w + 76. What is the remainder when w is divided by m?
4
Let b = 19 + -13. Calculate the remainder when 13 is divided by b.
1
Let p(g) be the second derivative of -g**5/20 + 2*g**4/3 - 7*g**3/6 - 3*g**2 + g. Let c be p(7). What is the remainder when 2/(-3) + (-214)/c is divided by 12?
11
Suppose -1 = -4*c + 11. What is the remainder when c is divided by 1?
0
Let l(i) = 2*i + 4. Let h be l(5). Let m = h - 9. Calculate the remainder when 8 is divided by m.
3
Suppose -44 - 72 = -4*x. What is the remainder when 114 is divided by x?
27
Suppose -5 - 7 = -4*x. Suppose 104 = x*g + g. Calculate the remainder when g is divided by 9.
8
Let j = 4 - -1. Suppose -2 = -j*c - 12. Let p = 4 + c. What is the remainder when 4 is divided by p?
0
Calculate the remainder when 7 is divided by (-90)/12*2/(-3).
2
Suppose -b + 5*q - 26 = -2, -5*b - 98 = -3*q. Let w = b - -45. What is the remainder when w is divided by 9?
8
Suppose -5*l + 8*l + 15 = 0. Let v(x) = x + 7. What is the remainder when v(l) is divided by 2?
0
Let y(f) = -f + 11. Suppose -4*u = -9 - 23. Let g be y(u). Suppose -3*q = -g*n - 126, -4*q - 2*n + 165 = -5*n. What is the remainder when q is divided by 14?
11
Let s(c) = 14*c + 2. Suppose 135 = 4*i - 3*f - 0*f, 50 = 2*i + 2*f. What is the remainder when i is divided by s(1)?
14
Suppose -2*s + 0*s = -2*a + 64, 0 = -2*a + s + 65. Let q(n) = -n + 20. Calculate the remainder when a is divided by q(11).
6
Let u(c) = c**2 - 7*c - 16. Suppose -16 = -4*o + 2*o. What is the remainder when u(10) is divided by o?
6
Let n(p) = -7*p**3 + 2*p**2 - p - 1. Suppose -21 + 65 = 2*a. Calculate the remainder when n(-2) is divided by a.
21
Suppose 49 = 2*j - 31. Suppose 4*k = 3*p - j, 0 = p - 2*p - 5*k + 7. Calculate the remainder when 35 is divided by p.
11
Suppose -y - 2 = -0*y + 4*n, -3*n = 4*y - 44. What is the remainder when 27 is divided by y?
13
Suppose -2*z - 162 - 144 = -4*r, -2*r - 3*z = -133. What is the remainder when r is divided by 19?
17
What is the remainder when 10 is divided by ((-14)/(-7))/(3/9)?
4
Let c = 7 + 3. What is the remainder when c is divided by 3?
1
Let i = -16 + 31. What is the remainder when 27 is divided by i?
12
Let z = 62 - 25. Let y(n) = -2*n - 8. What is the remainder when z is divided by y(-9)?
7
Suppose h + 13 - 4 = -3*a, -5*h - 19 = 2*a. Suppose 0 = -3*d + 2*g + 27, -3*d + 2*d = -4*g - 9. Calculate the remainder when d is divided by -1 - (-6)/(a - -3).
4
Let r = -38 - -47. What is the remainder when 17 is divided by r?
8
Suppose 0 = -4*n + 27 + 21. Calculate the remainder when n is divided by 3.
0
Let i(o) = -o**2 + 3. Suppose 3*z + 17 = -2*t + 2, 5*t + 4*z + 20 = 0. What is the remainder when i(t) is divided by 2?
1
Let k be (0 + -11)*(-7 + 2). Suppose -k = -4*f - 3. Calculate the remainder when 37 - (2/2 - 1) is divided by f.
11
Let h = -14 + 6. Let a be ((-15)/(-4))/((-3)/h). Let r = 3 + a. Calculate the remainder when 37 is divided by r.
11
Let h(f) = f + 13. Let m be h(-7). Suppose 4*j + 3*g = 72, -3*g + m*g = -3*j + 57. Calculate the remainder when 27 is divided by j.
12
Calculate the remainder when 4/(-2)*(-6 - -4) is divided by 2.
0
Let k be (-1)/((-3)/(18/(-3))). Let w(q) = q - 1. Let l be w(3). Calculate the remainder when 10 is divided by (-2 - k) + l - -4.
4
Suppose 0 = -x + 2*x. Suppose -3*a + x*m + 4*m = -120, 2*a + 2*m - 66 = 0. What is the remainder when a is divided by 10?
6
Suppose 33 + 49 = 2*j. Calculate the remainder when j is divided by 21.
20
Calculate the remainder when 42/(-105) - (-117)/5 is divided by (0 - -1) + (0 - -11).
11
Suppose 5*i = 0, 3*i + i = 5*x - 105. Suppose 2*p - x = 31. Let h = 26 + -17. Calculate the remainder when p is divided by h.
8
Calculate the remainder when 42*(-2)/(12/(-3)) is divided by 12.
9
Let u(s) = 48*s**2 + 2*s + 2. Let y = -5 + 18. Calculate the remainder when u(-1) is divided by y.
9
Suppose n = -5*d + 4*d + 109, 0 = 4*d + 5*n - 432. Calculate the remainder when d is divided by 23.
21
Suppose 10 = 2*s + k + 4, 5*s - 2*k - 33 = 0. Suppose -s*u = w - 3* | {
"pile_set_name": "DM Mathematics"
} |
p + 0*p + a*p. Let k(r) = -17*r**2. What is k(h(z))?
-833*z**2
Let y(o) be the first derivative of 2*o**3/3 - 1. Let s(c) = 463 - c + 478 + 474 - c - 1380. Calculate y(s(a)).
8*a**2 - 280*a + 2450
Let z(w) be the third derivative of 45*w**4/8 - 170*w**2. Let a(r) = -r. What is z(a(k))?
-135*k
Let m(k) = 13*k - 1. Suppose 3*i - 4*s - 1093 = 0, 5*s = 3*i + 4*s - 1108. Let q(f) = -i*f**2 + 126*f**2 + 119*f**2 + 121*f**2. Give m(q(h)).
-65*h**2 - 1
Let k(i) be the second derivative of -i**6/360 + i**4/4 - i**2/2 - 6*i + 1. Let l(m) be the third derivative of k(m). Let r(q) = -q - 7. Determine r(l(z)).
2*z - 7
Let w(y) = -y**2 - 4*y + 103. Let j(f) = -f. Let r(o) = -4*j(o) + w(o). Let q(c) be the first derivative of r(c). Let s(x) = 4*x**2 - 5. Give s(q(k)).
16*k**2 - 5
Let j(r) = 5*r + 2. Let o(w) = 119*w + 49. Suppose -i = 4*a - 2*a + 99, 2*a - 3*i = -95. Let z(u) = a*j(u) + 2*o(u). Let d(f) = -16*f**2. What is d(z(c))?
-784*c**2
Let r(z) = 2*z. Let f = 27 - -27. Let i = 64 - f. Let k(a) = 18*a**2 - 10 + i. Give r(k(h)).
36*h**2
Let o(q) = -68*q + 5*q + 37*q**2 + 33*q**2 - 8*q - 71*q**2. Let d(v) = 5*v. Determine d(o(r)).
-5*r**2 - 355*r
Let l(k) = 2*k**2 + 17. Let a(g) = g**2 + 6. Let j(p) = 17*a(p) - 6*l(p). Suppose 0 = -30*c - 17 + 77. Let u(m) = m**2 - 17*m**c + 8*m**2. Give j(u(y)).
320*y**4
Let o(m) = 149637*m**2. Let d(h) = 10861*h**2. Let f(k) = -124*d(k) + 9*o(k). Let v(l) be the third derivative of l**5/12 + l**2. Give v(f(p)).
4805*p**4
Let c(q) = -10*q + 721. Let o(r) = -7*r + 515. Let a(d) = -5*c(d) + 7*o(d). Let u(k) = -2*k**2 - 554*k. What is u(a(i))?
-2*i**2 - 554*i
Let v(t) = 19*t - 24. Let x(f) be the third derivative of -f**4/8 + 5796*f**2. What is x(v(y))?
-57*y + 72
Let w(j) = 11*j - 7 + 6 + 4 - 3. Let r(o) = -o**2 - 419*o. What is r(w(a))?
-121*a**2 - 4609*a
Let a(w) = -135*w**2. Let q(g) = -1029417*g. Determine a(q(m)).
-143059413585015*m**2
Let z(t) = 67*t - 1. Let q(f) = -3*f**2 - 2*f**2 - 5*f**2 - 18*f**2 + 25*f**2. Determine q(z(x)).
-13467*x**2 + 402*x - 3
Let j(v) be the second derivative of 13*v**4/6 - 130*v**2 + 32*v - 1. Let n(y) = -2. Let i(k) = j(k) - 130*n(k). Let d(l) = -3*l + 0*l + l + 0*l. Give d(i(w)).
-52*w**2
Let i(u) = 490*u**2. Let m(h) be the third derivative of -52*h**2 + 0*h**3 + 0 + 0*h - 1/24*h**4. Calculate i(m(z)).
490*z**2
Let v(i) = 3*i - 5. Let u(k) = k - 2. Let n(w) = 15*u(w) - 6*v(w). Let p(f) be the second derivative of 7*f**4/12 - 55159*f. Determine p(n(j)).
63*j**2
Let c(x) be the third derivative of x**4/8 + x**2. Let q(r) = -50*r - 197. Let h(z) = 101*z + 460. Let v(l) = -3*h(l) - 7*q(l). Calculate v(c(t)).
141*t - 1
Let u(s) = 4*s. Let v(m) = 54*m**2 + 7008*m + 1. Give u(v(n)).
216*n**2 + 28032*n + 4
Let s(j) = 2*j**2. Let p be (-11)/(-4) + (-39)/52. Let u(d) = 77*d**p + 71*d**2 + 87*d**2. Determine u(s(r)).
940*r**4
Let v(o) = 402*o. Let b(g) = 34*g**2 + 21. Let w(x) = -29*x**2 - 18. Let m(i) = -6*b(i) - 7*w(i). Give m(v(d)).
-161604*d**2
Let p be (-17 - -15)*(-3)/2. Let q be (-2 + 1)*(p - (4 - -14)). Let s(b) = q*b + 14*b - 3*b. Let h(a) = -3*a**2. Determine s(h(o)).
-78*o**2
Let g(n) = -n + 2. Let u be g(-1). Let k(v) = v + 4. Let l(q) = 3. Let s(f) = u*k(f) - 4*l(f). Let i(t) = -17*t**2. Give s(i(h)).
-51*h**2
Let z(k) = 7200*k - 7158*k - 1 + 1. Let c(s) = -s. Determine z(c(u)).
-42*u
Let k(b) = -10*b**2 + 1830. Let d(o) = 316*o + 2. Calculate k(d(h)).
-998560*h**2 - 12640*h + 1790
Suppose 756 = 10*u + 86. Let w(c) = 67 + 9*c + u - 134. Let r(x) = -x**2. Calculate w(r(p)).
-9*p**2
Let g(m) = m**2 + 1. Let l(z) = 3*z**2 + 4. Let v(b) = -4*g(b) + l(b). Let p(c) = 182*c - 3. Let r be p(1). Let u(q) = -2 + 2 + 155*q - r*q. Determine v(u(d)).
-576*d**2
Let g(u) = -51011084*u. Let n(i) = 3*i**2. Determine n(g(z)).
7806392072565168*z**2
Let d(y) = -9802930*y. Let m(v) = 12*v**2. Determine m(d(s)).
1153169239018800*s**2
Let o(z) = -459*z - 35. Let l(f) = 2*f**2 + 190*f. Give l(o(n)).
421362*n**2 - 22950*n - 4200
Let v(c) = -2*c**2. Suppose -118*u = -108*u - 1040. Let o(g) = -98*g**2 - 3*g. Let x(r) = -3432*r**2 - 104*r. Let d(k) = u*o(k) - 3*x(k). Calculate v(d(t)).
-21632*t**4
Let k(b) = -3*b**2. Let h(w) = 2*w + 4. Let g(a) = -5*a + 6. Let f(d) = 12*d - 13. Let z(n) = 6*f(n) + 14*g(n). Let t(i) = 3*h(i) - 2*z(i). Give t(k(o)).
-6*o**2
Let l(v) = -72*v**2. Let s(d) be the second derivative of 14*d + 1/4*d**4 + 0*d**2 + 0*d**3 + 0. Calculate l(s(g)).
-648*g**4
Let k(q) = -604*q. Let w(h) = 19510*h + 1. Determine k(w(r)).
-11784040*r - 604
Let c(x) = -20*x**2. Suppose 82*w - 75*w - 1 + 1 = 0. Let y(m) be the second derivative of -17*m + w*m**2 + 0 + 0*m**3 + 1/6*m**4. What is c(y(l))?
-80*l**4
Let x(t) = -4*t. Let h(q) = -578419*q**2 + 25*q. Determine h(x(m)).
-9254704*m**2 - 100*m
Let y(w) = -3321031779*w. Let i(v) = 2*v**2. What is y(i(l))?
-6642063558*l**2
Let i(c) be the second derivative of 0*c**3 + 3/2*c**2 - 4/3*c**4 + 0 + 58*c. Let o(j) = 2*j**2. Determine i(o(b)).
-64*b**4 + 3
Let y(i) = -i**2. Let h(c) = 16*c**2 - 15*c**2 - 199*c**2 + 66*c**2. Calculate y(h(r)).
-17424*r**4
Let o(w) = -330*w. Let v(i) = 1704*i**2 + 118. Calculate v(o(g)).
185565600*g**2 + 118
Let z(j) = -3*j + 11. Let u be z(3). Let t(c) = -35*c**u + 358 - 718 + 360. Let m(w) = -4*w. Determine m(t(i)).
140*i**2
Let y be 1 - 1/(4 - 3). Let v(w) be the third derivative of y*w**3 + 0*w + 0 + 0*w**4 + 8*w**2 + 3/20*w**5. Let o(p) = -2*p**2. Give v(o(u)).
36*u**4
Let v(c) = 3317*c**2 - 1196*c**2 + 3287*c**2. Let w(j) = -212*j**2. Let s(i) = 5*v(i) + 128*w(i). Let h(g) = 3*g. Determine h(s(d)).
-288*d**2
Let m(h) = -35415*h**2. Let a(g) = -10*g**2 - 113*g**2 + 130*g**2 - 8*g**2. Determine a(m(q)).
-1254222225*q**4
Let d(b) = -2*b**2. Let m(k) be the second derivative of 11129*k**3/6 - 5339*k. Give m(d(g)).
-22258*g**2
Let n(v) = 4*v**2. Let l(r) = 127020862*r**2. What is l(n(i))?
2032333792*i**4
Let u(h) = 225474*h. Let w(d) = -1563*d**2. Determine w(u(y)).
-79460614068588*y**2
Let y(g) = 2*g. Let d = 48 + -43. Suppose -2*x - 5 = -5*h + 4*h, -d*h - 2*x = -85. Let s(u) = -9*u**2 + 11*u**2 + h*u**2. Determine y(s(o)).
34*o**2
Let i(f) = -608*f. Let b(h) = 87199*h**2 - h + 1. Give b(i(n)).
32234331136*n**2 + 608*n + 1
Let s(f) = 9*f. Let c(q) be the third derivative of -59*q**5/20 + 775*q**2. What is s(c(h))?
-1593*h**2
Let i(m) = 85*m. Let q(d) = -4*d**2 + 12359*d. What is i(q(c))?
-340*c**2 + 1050515*c
Let a(s) = -12*s. Let q(b) be the first derivative of 6*b**3 - 1791. What is q(a(j))?
2592*j**2
Let w(u) = -328097*u. Let y(x) = -3*x + 8. What is y(w(a))?
984291*a + 8
Suppose m + 2*y = 1, -4*m + 14 = 2*y + y. Let n(r) = -6*r - 18*r + m*r + 4*r. Let d(b) = -b**2. Give n(d(j)).
15*j**2
Let c(q) = 4*q. Let z(h) = -44*h**2 - 10. Let r be (-1)/(2/4*(-8)/20). Let f(g) = 44*g**2 + 8. Let v(t) = r*f(t) + 4*z(t). Calculate c(v(j)).
176*j**2
Let r(m) = 25652*m + 11448. Let k(i) = 202*i + 90. Let u(o) = 636*k(o) - 5*r(o). Let a(c) = -3*c**2 + 4*c**2 + 0*c**2. Calculate u(a(w)).
212*w**2
Let d = -129 - -87. Let y be (-7)/2*3/d*8. Let c(n) = -3*n**2 - y*n**2 - 15*n**2 - n**2. Let g(h) = -h**2. What is c(g(f))?
-21*f**4
Let d(p) be the third derivative of 97*p**4/24 - 6*p**2 - 307*p. Let t(o) = -2*o**2. What is d(t(q))?
-194*q**2
Let n(d) = -439*d**2. Let m(h) = -28*h**2 + 12*h + 2. Calculate m(n(a)).
-5396188*a**4 - 5268*a**2 + 2
Let c(q) = -74*q**2 - 2*q + 2. Let b(o) be the second derivative of o**3/3 + 7104*o. What is b(c(x))?
-148*x**2 - 4*x + 4
Let n(x) = -x + 5334. Let u(d) = 3*d**2 - 11*d. Calculate u(n(c)).
3*c**2 - 31993*c + 85295994
Let g be (-17)/(-5) - (-30)/(-75). Let q(u) = g*u - 2*u - u - 2*u. Let l(f) = f. What is q(l(x))?
-2*x
Let u(m) = -m - 2093294. Let d(j) = -j**2. What is u(d(f))?
f**2 - 2093294
Let p(k) = -k + 2. Let o(f) = 4*f + 40. Let z(j) = -3*j - 28. Let i(c) = 5*o(c) + 7*z(c). Let g(a) = i(a) - 2*p(a). Let x(m) = 259*m**2. Calculate x(g(y)).
259*y**2
Let q(s) = 600336*s**2. Let u(g) = 8*g. Determine q(u(m)).
38421504*m**2
Suppose -15*f = -5*f - 20. Let d(m) = -12*m**2 + 20*m**2 - 9*m**2 - f*m**2. Let p(h) = -25*h**2 - 3 + 3 + 18*h**2. Determine d(p(s)).
-147*s**4
Let x(o) = -4*o**2. Let m(d) = 20 - 15 - 6. Let c(p) be the second derivative of -7*p**3/6 - 2*p**2 - 23*p. Let r(z) = c(z) - 4*m(z). Calcu | {
"pile_set_name": "DM Mathematics"
} |
e
Is 1537 composite?
True
Is 12037 composite?
False
Is 137035 composite?
True
Is 85889 a prime number?
True
Is 217849 a composite number?
False
Is 717553 prime?
False
Is 1889 a composite number?
False
Is 29245 a prime number?
False
Is 13323 prime?
False
Is 556477 a prime number?
True
Is 149861 a prime number?
True
Is 733763 a prime number?
False
Is 347621 prime?
True
Is 41273 a prime number?
False
Is 1407143 a prime number?
True
Is 9197 prime?
False
Is 9305 composite?
True
Is 44053 a composite number?
False
Is 19613 a composite number?
True
Is 38821 prime?
True
Is 4717 a prime number?
False
Is 1755057 composite?
True
Is 160141 prime?
True
Is 225853 prime?
False
Is 200771 prime?
True
Is 454 prime?
False
Is 18926 a composite number?
True
Is 112087 composite?
False
Is 24749 prime?
True
Is 72139 a composite number?
False
Is 997877 a prime number?
True
Is 59687 a prime number?
False
Is 27137 composite?
True
Is 829151 a prime number?
True
Is 27785 composite?
True
Is 123643 prime?
False
Is 8819 a composite number?
False
Is 445579 a composite number?
True
Is 191 prime?
True
Is 26557 composite?
False
Is 319885 composite?
True
Is 84974 a prime number?
False
Is 29179 a composite number?
False
Is 1319 prime?
True
Is 1907 a composite number?
False
Is 1777 composite?
False
Is 545539 prime?
False
Is 298153 composite?
False
Is 59467 composite?
False
Is 559739 composite?
False
Is 59539 a composite number?
False
Is 119723 prime?
True
Is 587 a composite number?
False
Is 247 a prime number?
False
Is 11201 a prime number?
False
Is 14377 a prime number?
False
Is 8637 a prime number?
False
Is 33659 composite?
True
Is 2554 prime?
False
Is 44329 a prime number?
False
Is 1755803 a composite number?
True
Is 195521 a composite number?
True
Is 2237 a prime number?
True
Is 14143 a composite number?
False
Is 54989 prime?
False
Is 13147 a composite number?
False
Is 48731 a prime number?
True
Is 1663711 prime?
False
Is 2429 a prime number?
False
Is 462721 a composite number?
True
Is 17707 a composite number?
False
Is 12407 prime?
False
Is 7283 prime?
True
Is 1462367 a prime number?
True
Is 27623 prime?
False
Is 1903 composite?
True
Is 278 a prime number?
False
Is 7663 a prime number?
False
Is 8501 prime?
True
Is 1543 a composite number?
False
Is 6637 prime?
True
Is 1693 a prime number?
True
Is 21919 composite?
True
Is 327127 prime?
True
Is 12833 composite?
True
Is 366083 prime?
False
Is 51943 a composite number?
True
Is 66017 a composite number?
True
Is 37451 a prime number?
False
Is 828995 a prime number?
False
Is 11617 prime?
True
Is 1319777 prime?
True
Is 19473 a prime number?
False
Is 421273 composite?
False
Is 7989 composite?
True
Is 9661 a prime number?
True
Is 182579 a prime number?
True
Is 11981 a composite number?
False
Is 30883 prime?
False
Is 10559 composite?
False
Is 151617 a composite number?
True
Is 7523 composite?
False
Is 187 prime?
False
Is 2174 a prime number?
False
Is 171799 a composite number?
False
Is 500959 composite?
True
Is 15013 a composite number?
False
Is 306367 a prime number?
True
Is 1993 a composite number?
False
Is 126343 a prime number?
False
Is 42793 prime?
True
Is 575317 prime?
True
Is 128181 composite?
True
Is 86477 composite?
False
Is 2513905 composite?
True
Is 25279 a prime number?
False
Is 13613 a composite number?
False
Is 1675747 a composite number?
False
Is 3761 prime?
True
Is 51749 a composite number?
False
Is 8641 a prime number?
True
Is 545233 a composite number?
True
Is 91705 a prime number?
False
Is 353915 a prime number?
False
Is 1561 composite?
True
Is 62845 a composite number?
True
Is 121919 prime?
False
Is 165941 prime?
True
Is 115691 prime?
False
Is 1825247 a prime number?
False
Is 11159 a composite number?
False
Is 16917 a composite number?
True
Is 5099 a prime number?
True
Is 131305 prime?
False
Is 1062914 a prime number?
False
Is 1361 a composite number?
False
Is 58933 prime?
False
Is 205237 a prime number?
True
Is 26063 prime?
False
Is 7819 prime?
False
Is 12227 a composite number?
False
Is 189901 a composite number?
False
Is 73933 prime?
False
Is 19121 a prime number?
True
Is 8623 prime?
True
Is 1294561 a prime number?
True
Is 123001 a composite number?
False
Is 36109 a prime number?
True
Is 8609 composite?
False
Is 5923 a composite number?
False
Is 39581 a composite number?
False
Is 169561 a composite number?
True
Is 314 prime?
False
Is 23459 a composite number?
False
Is 236053 composite?
False
Is 5297 a composite number?
False
Is 1471 a prime number?
True
Is 42843 prime?
False
Is 180949 a prime number?
True
Is 117751 a prime number?
True
Is 196747 composite?
True
Is 26735 a prime number?
False
Is 1387571 prime?
True
Is 853 composite?
False
Is 1795483 a composite number?
False
Is 3979 composite?
True
Is 687767 composite?
False
Is 42043 a composite number?
False
Is 55997 a prime number?
True
Is 5981 prime?
True
Is 73417 prime?
True
Is 15499 a composite number?
True
Is 730447 prime?
True
Is 7067 composite?
True
Is 81887 composite?
True
Is 7985 composite?
True
Is 576787 composite?
False
Is 362693 a prime number?
True
Is 297533 a prime number?
True
Is 1940795 a composite number?
True
Is 224359 a prime number?
True
Is 2498 a composite number?
True
Is 236143 prime?
True
Is 78823 a composite number?
False
Is 10195 composite?
True
Is 828517 a prime number?
True
Is 237449 a composite number?
True
Is 1399 a prime number?
True
Is 374303 a prime number?
False
Is 10559 a prime number?
True
Is 5981 a prime number?
True
Is 77471 a composite number?
False
Is 4493 prime?
True
Is 60769 prime?
False
Is 1004101 a prime number?
False
Is 162349 prime?
False
Is 148499 a composite number?
True
Is 1293 composite?
True
Is 802519 composite?
True
Is 2231 prime?
False
Is 32953 prime?
False
Is 62365 composite?
True
Is 73977 a composite number?
True
Is 136997 prime?
False
Is 4111 a composite number?
False
Is 203707 composite?
True
Is 1528399 prime?
True
Is 4399 a prime number?
False
Is 75039 prime?
False
Is 319961 composite?
True
Is 115657 composite?
False
Is 2797637 prime?
True
Is 307 composite?
False
Is 98729 prime?
True
Is 1683949 composite?
False
Is 43889 a composite number?
False
Is 108401 composite?
False
Is 60181 a prime number?
False
Is 22861 a prime number?
True
Is 2513 a prime number?
False
Is 9643 composite?
False
Is 15091 a prime number?
True
Is 298021 prime?
True
Is 3602 composite?
True
Is 30289 prime?
False
Is 9577 a composite number?
True
Is 1657 a prime number?
True
Is 364891 prime?
True
Is 20627 a composite number?
False
Is 52231 a prime number?
False
Is 203789 prime?
True
Is 12601 a prime number?
True
Is 330145 a composite number?
True
Is 25481 a prime number?
False
Is 583921 prime?
False
Is 3653 a prime number?
False
Is 9941 a prime number?
True
Is 36965 a composite number?
True
Is 13535 a composite number?
True
Is 62359 a prime number?
False
Is 2503 a prime number?
True
Is 529877 composite?
True
Is 17473 prime?
False
Is 32933 a prime number?
True
Is 135241 a prime number?
True
Is 2409679 a composite number?
False
Is 955 a composite number?
True
Is 226741 a composite number?
False
Is 10183 a prime number?
False
Is 32839 a prime number?
True
Is 73081 composite?
True
Is 877 a prime number?
True
Is 631 a prime number?
True
Is 54737 prime?
False
Is 4783 composite?
False
Is 329863 composite?
False
Is 3299 composite?
False
Is 42373 a composite number?
False
Is 16397 prime?
False
Is 1361 a prime number?
True
Is 1582313 composite?
True
Is 7401 a prime number?
False
Is 24074 a composite number?
True
Is 214161 a composite number?
True
Is 142589 prime?
True
Is 203 a composite number?
True
Is 3049 composite?
False
Is 98603 a composite number?
True
Is 69205 a composite number?
True
Is 3137 prime?
True
Is 10361 a prime number?
False
Is 92519 a prime number?
False
Is 313189 a prime number?
False
Is 840197 a composite number?
False
Is 1306901 prime?
True
Is 481807 prime?
True
Is 264029 a prime number?
True
Is 62809 a prime number?
False
Is 163253 a composite number?
True
Is 14971 prime?
False
Is 2101 prime?
False
Is 19813 a composite number?
False
Is 3407 a composite number?
False
Is 9689 composite?
False
Is 953 a prime number?
True
Is 94961 a composite number?
False
Is 599551 a composite number?
False
Is 152797 a composite number?
True
Is 51 | {
"pile_set_name": "DM Mathematics"
} |
(7)/55
Simplify (-2*(-2*sqrt(102)*-1 + sqrt(102) - sqrt(102))*5)/(-6*sqrt(48)/sqrt(8) + sqrt(726)*4).
-10*sqrt(17)/19
Simplify 0 + -2 + sqrt(2420) - 6*(-3 + sqrt(245))**2*-6.
-1490*sqrt(5) + 9142
Simplify sqrt(567)*-1*3 + -2 + 3*sqrt(567) + (1 + sqrt(567) + 3 + (sqrt(567) - (2 + sqrt(567) + 1)))**2 + 0.
18*sqrt(7) + 566
Simplify 0 + sqrt(208) + -2 + sqrt(208) + 1 - ((-1*sqrt(208)*3)**2 + (sqrt(208) - (-1*(sqrt(208)*-1)**2 - sqrt(208)))).
-2081
Simplify ((sqrt(4840)*1 - (sqrt(5760) - sqrt(5760)*-2))/(sqrt(72)/(sqrt(9) - sqrt(9)*-2) + sqrt(800)*-2))**2.
28125/3481
Simplify -3*(-5*(-5*sqrt(78)/sqrt(6) - (2 + sqrt(208) - sqrt(208))))**2*-3*-6.
-444150 - 27000*sqrt(13)
Simplify (sqrt(7) + 3 + sqrt(21)/sqrt(3) - (-2 + 2*sqrt(7)) - 3*(1 + sqrt(448) + sqrt(84)/(sqrt(12)*2)))**2*-4.
-18223 + 408*sqrt(7)
Simplify 3 + (5 + (0 + sqrt(128) - sqrt(6)/(2*sqrt(3))) + 2*sqrt(72)*-1)**2 + 2.
-45*sqrt(2) + 141/2
Simplify (sqrt(27)*4 + 2 + sqrt(363))**2 - (6*(-4*sqrt(243))**2 + -1).
-21736 + 92*sqrt(3)
Simplify 3 + (5*(-2 + 4*3*-2*sqrt(500) + -4 + 4))**2.
24000*sqrt(5) + 7200103
Simplify (5*-1*(sqrt(17) + 1*sqrt(17)*3) + (sqrt(170) + (4*(sqrt(170) - (-2*sqrt(170) - sqrt(170))) - sqrt(170)))/(sqrt(20)/sqrt(2)*-3))**2.
98192/9
Simplify (((1*sqrt(120) + sqrt(120))*-5 + sqrt(120)*1*-5)/((sqrt(6000) - (sqrt(6000) + (sqrt(6000) - (sqrt(6000)*-2 - sqrt(6000)))))/(sqrt(96) - sqrt(24))))**2.
27/4
Simplify ((-5 + sqrt(112) + 0)*2 - ((sqrt(175) + -1)*3 - (sqrt(175) + sqrt(175)*1 + 3)))**2.
-24*sqrt(7) + 79
Simplify ((sqrt(864) + (sqrt(864) - -2*sqrt(864)*1) - -2*(sqrt(864)*2 - sqrt(864)))/((sqrt(60)*-1*5)/((2*sqrt(10))/sqrt(2))) + -1)**2.
144*sqrt(2)/5 + 10393/25
Simplify 0 + (-6*(sqrt(33) - (sqrt(33) + (-1*sqrt(33) - sqrt(33)))) - 5*sqrt(1188))/((sqrt(192) + (sqrt(192) + (-2*sqrt(192) - sqrt(192)))*6)*-3).
-7*sqrt(11)/44
Simplify -1*(1 + sqrt(80)) + (sqrt(80) + 3 + sqrt(80))**2*4 + sqrt(80) - ((2*(-3 + sqrt(80) - sqrt(80)))**2 + 6*(sqrt(80) + sqrt(80)*-4)).
264*sqrt(5) + 1279
Simplify (-6*-6*((sqrt(1008) + -6*(sqrt(1008) + sqrt(1008) + 1) - sqrt(1008) - sqrt(1008)) + -5 + 3 + 5*sqrt(1008)*-2) + 2)**2.
5683392*sqrt(7) + 691150468
Simplify (sqrt(192) + -3 + 1 + -5 + (5 + sqrt(243) - sqrt(243)))*3.
-6 + 24*sqrt(3)
Simplify 0 + 4*(4 + 0 + (sqrt(112) + -1 + -1 + sqrt(112) + 0 + -5)**2).
-448*sqrt(7) + 2004
Simplify 2 + (sqrt(847) - (-2 + (sqrt(847) + -2 - sqrt(847))**2 + sqrt(847))) + 4*((sqrt(448) + 4)**2 + -5).
256*sqrt(7) + 1836
Simplify 6*(sqrt(11) - (-4 + sqrt(11))) + sqrt(704) + 4 - (2*4*(sqrt(44)/sqrt(4) + -5))**2.
-2276 + 648*sqrt(11)
Simplify (2 + -6*(5*(-1 + sqrt(500) + sqrt(500)*-2 - 1*sqrt(500)*-2) + 4))**2.
-4800*sqrt(5) + 450064
Simplify -4*(1*(sqrt(637) + (sqrt(637)*-3 - sqrt(637))))**2 - (sqrt(13)*-2 + -1 - sqrt(3328)).
-22931 + 18*sqrt(13)
Simplify ((sqrt(121) + (4*(sqrt(121)*3 + sqrt(121) + sqrt(121)) - sqrt(121) - sqrt(121)) - sqrt(121))*2)/(sqrt(396) + sqrt(396) + -5*-2*sqrt(396)).
sqrt(11)/2
Simplify -1 + 3*(((0 + sqrt(539))**2 - sqrt(539)) + (2*sqrt(33))/sqrt(3)) + -3 + (((1*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88))/sqrt(8) - sqrt(11)) + -3 + 1.
-16*sqrt(11) + 1611
Simplify 1 + sqrt(272)*2*6 + 1 + (2*sqrt(272) + sqrt(272) - sqrt(272) - sqrt(272))**2 + 5 + 1.
48*sqrt(17) + 280
Simplify 1*sqrt(425) + -1 - 4*(3 + sqrt(425)) - (5*(0 + sqrt(425)) + (-1 + -2*sqrt(425) + sqrt(425))**2 + -3).
-436 - 50*sqrt(17)
Simplify 6*(5*(sqrt(100)*2 - sqrt(100)))/(-3*(sqrt(2) - (sqrt(18) - sqrt(2))) - ((sqrt(24)*-1)/sqrt(12) - sqrt(2))).
30*sqrt(2)
Simplify -4 + ((-2*sqrt(110)/sqrt(2))/((-4*sqrt(66))/sqrt(6)) + -5)*6.
-34 + 3*sqrt(5)
Simplify 5 + 2 + sqrt(363)*-2 + 4 + (sqrt(363) + sqrt(363) + sqrt(363)*-1)**2 + -3 + -1*(-1 + sqrt(363)).
-33*sqrt(3) + 372
Simplify ((sqrt(4500) - (sqrt(4500) - 1*sqrt(4500)) - sqrt(4500))/((sqrt(60)*2)/sqrt(12)))/(sqrt(36)/(sqrt(12)*-1) - sqrt(12)*4).
0
Simplify (sqrt(125)*-6 + -2)*1 - (3 + 0 + -4*(sqrt(5) + -1)).
-26*sqrt(5) - 9
Simplify -5*(4*-6*sqrt(132)*-2)/(sqrt(12) - -2*sqrt(12)*-1 - sqrt(24)/sqrt(2)*1)*-6.
-720*sqrt(11)
Simplify (5 + ((1*(sqrt(130) + sqrt(130)*1)*-2)/((3*(sqrt(100) - ((sqrt(100) - 4*sqrt(100)) + sqrt(100))))/sqrt(10)))**2)*2.
1226/81
Simplify -4*(-5 + (2*3*(sqrt(4800) - -5*sqrt(4800)*-1))**2).
-11059180
Simplify (((3*sqrt(588)*-4 - sqrt(588) - sqrt(588))/sqrt(12))/(sqrt(252) - sqrt(252)*-3*-5)*-5)**2.
175/36
Simplify (4*(0 + (sqrt(19) - sqrt(76)*-1)*1))**2 - ((sqrt(1539) + 1 - 6*(-1 + sqrt(19))) + (3 + (sqrt(38)/sqrt(2)*-3 - sqrt(19)))**2).
21*sqrt(19) + 2416
Simplify (-1*(sqrt(432) + 0)**2 + 4)*-6 - (sqrt(432) + 4 + sqrt(432) + 2 + sqrt(432) + sqrt(432)*2*4)**2.
-49740 - 1584*sqrt(3)
Simplify ((sqrt(288) + -3*(sqrt(288) + -1))**2*5 - (0 + (sqrt(2) - sqrt(162)) + (sqrt(2) + 4 + -3)**2))*-6.
-34812 + 4284*sqrt(2)
Simplify (sqrt(32)/(sqrt(14)/(sqrt(56)/sqrt(8))))/(2*(sqrt(8) - sqrt(24)/sqrt(3)) + 6*1*sqrt(8)).
sqrt(2)/6
Simplify (-6*6*(-3*(sqrt(325) + -1 + sqrt(325) + sqrt(325)) + sqrt(325) + -5)*6)**2 + 4.
7464960*sqrt(13) + 970631428
Simplify (sqrt(10)/(3*sqrt(12)/sqrt(6)))**2 + 3 - (-5*sqrt(720)/sqrt(4))**2*-3.
121532/9
Simplify 2 + (-5 + (-2*sqrt(4500)*2 - sqrt(4500))*-2)**2.
-3000*sqrt(5) + 450027
Simplify 3*(((sqrt(363) - (sqrt(363) + sqrt(363)*-2 + 3)) + (-2 + sqrt(363))*-4)*1)**2.
-660*sqrt(3) + 4431
Simplify -1*((-3*(-1 + sqrt(175)) + sqrt(175) + sqrt(175))*1 + 5*(sqrt(700) + -1 + sqrt(700) + sqrt(700))*1)*6.
-870*sqrt(7) + 12
Simplify (sqrt(77)*2*-2)/(-3*sqrt(112) - sqrt(112)) - (sqrt(99)/(sqrt(9) - sqrt(144)*-5) + 3)*2.
-6 + 13*sqrt(11)/84
Simplify -5*-3*3*(0 + (sqrt(75) + -1)*3 + -3)**2.
-8100*sqrt(3) + 31995
Simplify (((sqrt(200) + -2 + 3)**2 - (-2 + sqrt(200)*-1 + sqrt(200))) + 1)*-1 + 0.
-204 - 20*sqrt(2)
Simplify (sqrt(12)/sqrt(3)*-1 + sqrt(4) + sqrt(4) + (sqrt(4) - sqrt(256)*2) + sqrt(4))/(-5*-1*sqrt(288) + 4*sqrt(288)*1 + sqrt(288)).
-13*sqrt(2)/120
Simplify (2*((2*sqrt(18))/sqrt(9))**2*-1 - (((sqrt(72)*-1)**2 - (sqrt(28)/sqrt(2))/sqrt(7)) + 1))*-3.
-3*sqrt(2) + 267
Simplify (-1*(-5 + (sqrt(76) + 3 - sqrt(76)) + 3) - (-4 + sqrt(76) + 4*sqrt(76) + 1 + -5))**2.
-140*sqrt(19) + 1949
Simplify (3*(sqrt(78) + ((sqrt(78) - (sqrt(78) + sqrt(78) + -2*sqrt(78) + sqrt(78)))*-5 - sqrt(78))))/(3*(sqrt(72)/sqrt(4))/sqrt(3)).
0
Simplify ((sqrt(33)*-2*-1 + sqrt(33))/(sqrt(121)/sqrt(99)))**2 - 5*(2 + ((3 + 1*sqrt(75))**2 - sqrt(75))).
-125*sqrt(3) - 187
Simplify 1*(((sqrt(375)*5 - sqrt(375))*2)/(-6*(sqrt(36)*6)/sqrt(12)) + 0).
-10*sqrt(5)/9
Simplify (2*sqrt(56) - sqrt(14) - sqrt(112)/sqrt(2))/(sqrt(6)/(3*sqrt(3)*1)).
3*sqrt(7)
Simplify ((-1 + (5 + sqrt(1539) + 0 - sqrt(1539)) + 3)*5*-1)**2.
1225
Simplify ((4*(sqrt(170) - (sqrt(170)*1 + sqrt(170) - sqrt(170))))/(sqrt(90)*-1) - ((sqrt(170) + (sqrt(170)*2 - sqrt(170)))*3)/(sqrt(160)/sqrt(4)))**2.
153
Simplify -3*(-4*((0 + sqrt(704))*-3 - -2*sqrt(704)*-2)*-3)**2*4*6.
-357654528
Simplify ((((sqrt(84) - -5*(sqrt(84) - (sqrt(84) + sqrt(84)*2))) + (sqrt(84) - ((sqrt(84)*2*2 - sqrt(84)) + sqrt(84))))*-1)/(1*-1*1*sqrt(192)))**2.
63
Simplify (2*sqrt(104)*3)/((sqrt(48)/sqrt(2))/sqrt(3)) + 5 + (sqrt(13) - -1*sqrt(325)) + sqrt(637) + -1 + 3.
7 + 19*sqrt(13)
Simplify -3 + (2*(1 + -3 + sqrt(432) + 5))**2 + 4 + 1.
288*sqrt(3) + 1766
Simplify -2 + -1*sqrt(171) + 4*(sqrt(171) + sqrt(171) + 1)**2 + -5 + 4 + 4 + (sqrt(19) - (-3 + sqrt(19))**2) + sqrt(19).
53*sqrt(19) + 2713
Simplify ((-3*sqrt(190))/sqrt(10) + sqrt(76)/sqrt(16))**2 - (sqrt(95)*-2*6)/(sqrt(50)/(sqrt(10) - (sqrt(10) - sqrt(10)*1))).
12*sqrt(19) + 475/4
Simplify (6*(sqrt(147) - (sqrt(147) - (sqrt(147) + -2 - sqrt(147))))**2 + (sqrt(147) + 2 + -1 + sqrt(147) - sqrt(147))**2 + (4 + 0 + sqrt(147))**2 + -3)*4.
280*sqrt(3) + 1328
Simplify (5 + (-1*sqrt(228)*-4*5)/(4*3*sqrt(1728)))**2.
25*sqrt(19)/18 + 32875/1296
Simplify (4*6*(-5 + (-2*(sqrt(1331)*-2 + sqrt(1331))*3 - ((sqrt(1331) - (sqrt(1331) + 1*sqrt(1331)*1)) + -4*(sqrt(1331) + 0)))))**2.
-696960*sqrt(11) + 92779776
Simplify ((-2*sqrt(1862)*2)/(sqrt(24)/(sqrt(108)/sqrt(9))*-2)*6)**2.
134064
Simplify (sqrt(130)/(-4*sqrt(10))*4 + -5 - (sqrt(117)/(sqrt(90)/sqrt(10)) + -6*3*sqrt(13)))**2.
-160*sqrt(13) + 3353
Simplify ((sqrt(66) + sqrt(66) + 1*(sqrt(66) + sqrt(66)*-2) - sqrt(66))/sqrt(3))/(sqrt(275)*2*-1)*5.
0
Simplify -3*((sqrt(44)/(sqrt(40)/sqrt(40)) + (sqrt(1100) + -2*(2*sqr | {
"pile_set_name": "DM Mathematics"
} |
424.9238 millennia to months.
5099085.6
How many seconds are there in 40189.5ms?
40.1895
Convert 155.9578km to nanometers.
155957800000000
What is 2672.5308 minutes in hours?
44.54218
What is 7/2 of a litre in millilitres?
3500
What is 3/8 of a litre in millilitres?
375
Convert 98.43984 microseconds to days.
0.00000000113935
How many minutes are there in thirty-two fifths of a day?
9216
How many milligrams are there in one quarter of a gram?
250
How many kilograms are there in three tenths of a tonne?
300
How many millimeters are there in thirty-two fifths of a centimeter?
64
What is 0.5305637 kilograms in nanograms?
530563700000
How many kilometers are there in 888398.6 micrometers?
0.0008883986
What is seventy-one thirds of a year in months?
284
What is twenty-one quarters of a litre in millilitres?
5250
Convert 0.7803819 centuries to years.
78.03819
How many nanograms are there in five quarters of a microgram?
1250
How many centimeters are there in sixty-four fifths of a meter?
1280
What is 2/9 of a day in minutes?
320
What is one quarter of a microgram in nanograms?
250
How many nanograms are there in 17/2 of a microgram?
8500
How many milligrams are there in 0.3684994t?
368499400
How many millilitres are there in one quarter of a litre?
250
How many milligrams are there in 63.72803ug?
0.06372803
What is 5/8 of a microgram in nanograms?
625
What is eleven eighths of a hour in seconds?
4950
How many milligrams are there in 82092.06 micrograms?
82.09206
Convert 0.7531168 centuries to months.
903.74016
How many litres are there in 82.12749ml?
0.08212749
How many micrometers are there in 6/25 of a centimeter?
2400
How many centimeters are there in 392879.5 meters?
39287950
How many kilograms are there in one tenth of a tonne?
100
How many seconds are there in 1/36 of a day?
2400
What is 829.8852 kilograms in micrograms?
829885200000
How many nanograms are there in 285.4278t?
285427800000000000
What is 19/4 of a millennium in decades?
475
How many millilitres are there in three eighths of a litre?
375
What is 0.1561323 centimeters in meters?
0.001561323
Convert 913.2094 micrograms to tonnes.
0.0000000009132094
What is 7365.446t in grams?
7365446000
How many millimeters are there in 0.1190515m?
119.0515
What is 2143.488cm in meters?
21.43488
How many minutes are there in 59/4 of a day?
21240
How many litres are there in 45934.06ml?
45.93406
How many minutes are there in 3.154404ns?
0.0000000000525734
What is three fifths of a millennium in decades?
60
What is 84.26314ml in litres?
0.08426314
What is 4.065072 millilitres in litres?
0.004065072
How many minutes are there in 11/4 of a week?
27720
Convert 719.0426ml to litres.
0.7190426
What is 10.963263 months in years?
0.91360525
What is 7638.6 seconds in nanoseconds?
7638600000000
What is twenty-seven quarters of a meter in centimeters?
675
What is thirty-three fifths of a litre in millilitres?
6600
How many millilitres are there in 54/5 of a litre?
10800
What is three fifths of a week in minutes?
6048
What is 13/5 of a kilometer in meters?
2600
What is 5/8 of a tonne in kilograms?
625
What is 9/10 of a millennium in centuries?
9
How many milligrams are there in 3/40 of a gram?
75
How many hours are there in 0.90668 days?
21.76032
How many millilitres are there in 6/25 of a litre?
240
What is 9836.768 years in millennia?
9.836768
Convert 8.187606um to meters.
0.000008187606
How many millennia are there in 0.6443332 decades?
0.006443332
How many kilometers are there in 5397.57mm?
0.00539757
What is six fifths of a century in decades?
12
What is 32/5 of a century in months?
7680
How many micrograms are there in 1/64 of a gram?
15625
How many nanograms are there in 943.3971 kilograms?
943397100000000
Convert 226074.7nm to centimeters.
0.02260747
How many millilitres are there in three eighths of a litre?
375
What is 7/4 of a micrometer in nanometers?
1750
How many micrograms are there in 752.1933mg?
752193.3
What is 11/2 of a gram in milligrams?
5500
How many seconds are there in one fifth of a minute?
12
How many millilitres are there in 11/2 of a litre?
5500
Convert 457.0164g to tonnes.
0.0004570164
How many micrograms are there in 3/40 of a gram?
75000
Convert 9.950188 milligrams to kilograms.
0.000009950188
What is 844570.7 centuries in millennia?
84457.07
How many grams are there in 3/32 of a tonne?
93750
Convert 82743.67 seconds to microseconds.
82743670000
What is 828443.6 micrometers in millimeters?
828.4436
What is 7.00739 millilitres in litres?
0.00700739
What is 347.8621 litres in millilitres?
347862.1
How many seconds are there in 2/63 of a week?
19200
How many weeks are there in 54912551.4 milliseconds?
0.0907945625
What is 1/20 of a litre in millilitres?
50
How many micrometers are there in twenty-nine fifths of a centimeter?
58000
Convert 14501.84 millilitres to litres.
14.50184
How many millilitres are there in eleven halves of a litre?
5500
What is 14.50366ml in litres?
0.01450366
How many centuries are there in 4864.856 years?
48.64856
How many nanograms are there in 3/10 of a microgram?
300
How many months are there in 7/3 of a year?
28
Convert 7649.806km to millimeters.
7649806000
What is 6/5 of a millennium in centuries?
12
What is 5/4 of a litre in millilitres?
1250
How many nanograms are there in 5/4 of a microgram?
1250
What is three eighths of a microgram in nanograms?
375
What is 27/2 of a gram in milligrams?
13500
What is 1/16 of a tonne in grams?
62500
What is one tenth of a kilometer in meters?
100
What is one twentieth of a microgram in nanograms?
50
What is one tenth of a milligram in micrograms?
100
Convert 494.5217 decades to centuries.
49.45217
What is 407.0408 kilograms in grams?
407040.8
What is 5/4 of a kilometer in meters?
1250
How many weeks are there in 179.0151489 seconds?
0.00029599065625
Convert 0.6281695 kilometers to nanometers.
628169500000
How many milliseconds are there in 1/4 of a second?
250
How many minutes are there in 0.9417392 hours?
56.504352
How many millilitres are there in 11/4 of a litre?
2750
How many meters are there in 5/8 of a kilometer?
625
How many millilitres are there in 1/20 of a litre?
50
Convert 0.4105749 hours to microseconds.
1478069640
What is fourty-two fifths of a century in years?
840
What is thirteen quarters of a meter in centimeters?
325
What is fifty-one halves of a litre in millilitres?
25500
Convert 69528.18 millennia to decades.
6952818
What is 1.119438 minutes in hours?
0.0186573
What is three fifths of a kilometer in meters?
600
Convert 0.9210496 decades to years.
9.210496
Convert 22.78246 millilitres to litres.
0.02278246
How many centimeters are there in thirty-four fifths of a meter?
680
How many years are there in 21/4 of a millennium?
5250
What is 6/25 of a minute in milliseconds?
14400
How many millilitres are there in one quarter of a litre?
250
How many minutes are there in 68/3 of a day?
32640
Convert 0.168137ml to litres.
0.000168137
How many nanograms are there in twenty-one halves of a microgram?
10500
Convert 8075.061nm to micrometers.
8.075061
Convert 55356.77 centuries to years.
5535677
How many minutes are there in 50.39001us?
0.0000008398335
How many milligrams are there in fifteen quarters of a gram?
3750
What is one tenth of a millennium in centuries?
1
What is 1/5 of a micrometer in nanometers?
200
How many millilitres are there in 1/5 of a litre?
200
What is 3/25 of a millimeter in micrometers?
120
What is 12/7 of a week in hours?
288
How many centimeters are there in fourty-eight fifths of a meter?
960
What is 4008.586 millennia in decades?
400858.6
Convert 75508.53um to meters.
0.07550853
What is 11136.69 nanometers in kilometers?
0.00000001113669
How many weeks are there in 20097.973 days?
2871.139
What is one fifteenth of a century in months?
80
Convert 6.041757ml to litres.
0.006041757
What is seven quarters of a meter in centimeters?
175
What is fifty-five halves of a year in months?
330
What is 0.5541378g in nanograms?
554137800
Convert 0.0110113 micrometers to nanometers.
11.0113
What is 11/2 of a day in minutes?
7920
What is 8.959293 centuries in millennia?
0.8959293
How many decades are there in twenty-nine fifths of a millennium?
580
What is twenty-nine thirds of a decade in mont | {
"pile_set_name": "DM Mathematics"
} |
a. Is (-91)/a - (-2)/4 a prime number?
False
Let q = 4 + -6. Let r = 3 - q. Suppose 3*x - 60 = -4*o + 10, -5*x + r*o = -105. Is x a composite number?
True
Let w(p) = 9*p**2 + 6*p - 18. Is w(-7) prime?
False
Suppose 3*c - 4*d - 4549 = 0, d - 1528 = -3*c + 2*c. Is c composite?
False
Suppose k + 0*k + 1 = 0. Let u be 94 - (-3 - 2*k). Suppose -463 = -5*j + 2*i, u = j - 0*j - i. Is j prime?
False
Suppose -2*r - 3*p + 2*p = -411, 0 = -2*r + 4*p + 386. Suppose 0 = -4*f - 7 + r. Is f a prime number?
False
Let m(s) = s**2 - 5*s + 4. Let q be m(4). Let z(f) be the first derivative of -f**4/4 - f**3/3 + 69*f + 23. Is z(q) composite?
True
Let n(m) = 51*m**2 + 3*m - 49. Is n(13) composite?
False
Is 3/(6/(-2524)*-2) prime?
True
Let j be 16/(-3)*(-5 - -2). Suppose -j = -4*c, 0*q - q - 5*c + 57 = 0. Is q prime?
True
Let f = 36 + 163. Is f a composite number?
False
Let k(d) = d**2. Let j be k(0). Suppose 0*q - 3*q + 105 = j. Is q a composite number?
True
Let a = 2 - 0. Suppose 469 = 5*b - 4*u, 3*u - 63 + 438 = 4*b. Suppose -v + b = a*v. Is v composite?
False
Let n = -296 + 532. Suppose 3*y = -4*f + 6*y + 191, y + n = 5*f. Suppose 2*r = -f + 153. Is r a prime number?
True
Let b be (-24)/4*(-2)/6. Is 34/(-3)*(-6)/b a prime number?
False
Suppose -5*t = 4*l - 4, 3*t + 3 + 1 = -4*l. Suppose -5*q + 13 = -3*n, -3*q = t*n - 4 + 2. Suppose 0*s - 6 = -q*s. Is s a composite number?
False
Let j be -1 - ((-2 - 0) + -1). Suppose j*q = 24 + 92. Is q a prime number?
False
Suppose -5*w = -0*j - 5*j - 220, -2*w + 93 = -3*j. Let m = 92 - w. Is m composite?
False
Let d = 6 + -12. Let p be (-3)/d + 9/2. Suppose 4*s - 125 = s + p*x, 43 = s - 2*x. Is s a composite number?
True
Let z = 8 - 6. Let s = z + 1. Let x(j) = 10*j + 1. Is x(s) a prime number?
True
Let g = 16 + -13. Suppose -2*r + 110 = g*r. Is r composite?
True
Let b be (-16)/(-9) - 8/(-36). Suppose 235 = 4*x - b*n - 283, 523 = 4*x - 3*n. Is x composite?
False
Let r(c) = 156 + 95 - 6*c + 3*c. Is r(0) composite?
False
Is (-7826)/(-42) - (-4)/6 prime?
False
Let q(c) = -c - 7. Let p be q(-3). Let b = 0 - p. Suppose 0 = -0*w + b*w - 76. Is w a prime number?
True
Let p(c) = -c**3 + 2*c + 2*c + 4*c**2 + 7*c**2 - 10. Is p(11) prime?
False
Let u be 1 + 2*-1*-1. Let b be 27*u + (-1 - 1). Suppose -3*f + 80 + b = 0. Is f composite?
False
Let u be (-14148)/(-28) + 2/(-7). Suppose 0 = 8*g - 3*g - u. Suppose 3*p + p = -d + 213, -g = -2*p + 5*d. Is p composite?
False
Let q(p) = p**3 - 11*p**2 + 10*p - 8. Let m be q(10). Is (-2)/8 - 170/m a composite number?
True
Let p = 3 + 0. Suppose -4*g = -3*m + 674, -m + g + 222 = -p*g. Is m a composite number?
True
Let k(l) be the second derivative of -2*l**3/3 + 9*l**2/2 - 2*l. Is k(-7) prime?
True
Suppose 0*h = -2*h - 5*o - 10, -2*o = -5*h + 4. Suppose -7*y + 3*y = h. Suppose 0 = 2*v - y*v - 106. Is v a composite number?
False
Let c(o) = 45*o**2 - o + 3. Let g be c(-2). Suppose d + 555 = 4*d - 3*p, -d + 3*p = -g. Is d a composite number?
True
Suppose i + 34 = 3*b, -3*b - 4 = -2*i - 39. Is b a prime number?
True
Suppose -n = -34 + 5. Let z = n + -18. Is z composite?
False
Let y(u) = -u**2 + 8*u - 7. Let v be y(5). Let o(t) = 6*t - 11. Let x(j) = 6*j - 11. Let a(m) = -3*o(m) + 4*x(m). Is a(v) a composite number?
False
Suppose -4*m + 2*m = 0. Suppose m = 4*f - f - 12. Suppose f*x + 111 = 7*x. Is x prime?
True
Let d(n) = -n - 8. Let r be d(-8). Is (31/(-2) - r)*-2 prime?
True
Let z be (9*-2)/(-2) + -1. Suppose z = 5*b - 2. Suppose l = b*l - 19. Is l composite?
False
Let k = 133 - 46. Is k a prime number?
False
Let t(v) be the second derivative of v**6/720 - v**5/120 + v**4/4 - 2*v. Let r(y) be the third derivative of t(y). Is r(8) prime?
True
Let z be 7 - 6 - (-1 + -17). Suppose -1 - 3 = -h, 3*y + 4*h = z. Let c(u) = 10*u**3 + 2*u**2 - 2*u + 1. Is c(y) prime?
True
Let p = -133 + 194. Let g(m) = 2*m**2 - m - 1. Let l be g(-1). Suppose 0 = 4*b + 5*i - p, 0*i - 23 = -l*b - 5*i. Is b composite?
False
Suppose 4*b - g - g = 700, -5*b - 5*g = -875. Let k = b - 56. Is k a prime number?
False
Suppose -3155 - 1054 = -4*u - 3*l, 3*u + 3*l = 3156. Suppose -u - 202 = -5*s. Suppose 0 = -0*a - a + s. Is a composite?
False
Let o(w) = 5 + 1 - 1 + 12*w - 7. Is o(1) composite?
True
Let y = 952 - 425. Is y composite?
True
Let v = -50 - -36. Let o = -6 - v. Let a(u) = 21*u - 5. Is a(o) composite?
False
Let w(x) = x**3 + x**2 - 3*x + 1. Let z be w(3). Suppose 0 = 3*k - 3*h - 87, k - 3*h = 2*h + 45. Suppose -k = -a + z. Is a a prime number?
True
Suppose 2*d = 3*d - 2. Let q(k) = -7*k - 2*k**d - 2*k**3 + 6 + 3*k - 2*k**2 + 3*k**3. Is q(5) a composite number?
False
Let z = 968 + -47. Is z a composite number?
True
Let z(v) = -3*v + 10. Let m be z(6). Is (-2698)/m + (-5)/20 composite?
False
Let t be -4 + 5 - (-8 - -1). Suppose 2*f + 2*f - t = 0. Suppose a + w + 1 = 11, f*w = -3*a + 30. Is a prime?
False
Suppose -a + 0*a = -3*v + 968, -4*a - 319 = -v. Is v a composite number?
True
Let k(j) = -11*j**2 - j + 6. Let x be k(6). Let v = -219 - x. Is v composite?
True
Suppose 5*l + 2*i = 38, -4*l + 2 = -5*i - 2. Suppose 0 = -5*k + l + 14. Suppose f + k*t = 45, -5*t + 49 = f - 3*t. Is f composite?
False
Suppose -2*a + 14 = -2. Let w(q) = 4*q + 5. Is w(a) a composite number?
False
Is (-1)/4 + (-705)/(-20) prime?
False
Is 232/(-6)*3/(-2) a composite number?
True
Suppose 775 = 5*o - 5*y, -2*o = 3*o - 2*y - 781. Is o a composite number?
False
Suppose 16556 - 4696 = 10*g. Is g composite?
True
Let s(n) = 36*n**2 + 7*n - 21. Is s(4) a prime number?
False
Let z(j) = -j**3 - 7*j**2 - 6*j - 3. Let f(d) = -2*d**3 - 14*d**2 - 12*d - 5. Let c(n) = 3*f(n) - 7*z(n). Let r be c(-6). Is (r/4)/((-2)/(-28)) a prime number?
False
Suppose 0 = n - 996 + 37. Is n a prime number?
False
Suppose -4745 = -4*w - 3*p, -2*p + 1127 = -3*w + 4690. Is w a composite number?
False
Let y(h) = h**3 - 2*h**2 - 1. Let o be y(2). Is 85 - o/((-1)/(-1)) prime?
False
Let k(f) = f**3 - 5*f**2 - 8*f. Let d be k(6). Let c be ((-6)/(-4))/((-2)/d). Suppose 5*h = 4*a + 185, 0 = 2*h - c*a + 4*a - 74. Is h a prime number?
True
Let p(j) = -2 + j - 2*j**2 + 3*j**3 + 3 - 5 - 5*j**2. Let r be p(5). Suppose 56 = -d + r. Is d composite?
True
Let z(o) = -34*o - 2 + 2 + 3 - 1. Let c be z(-5). Suppose 5*d = 73 + c. Is d composite?
True
Let p be (9 + -3)*(-1)/(-2). Suppose 2*g - 2*t = 274, 0*t + 137 = g + 5*t. Suppose -90 = -2*o - 2*f, -f = p*o + f - g. Is o prime?
True
Let z(x) = x**3 - x**2 + 6. Is z(0) prime?
False
Suppose 3*c - q - 1 = -0*c, -15 = -c + 4*q. Is (-15 - c)/(0 + -1) prime?
False
Suppose -4*l + 6 = -d, -l + 2*l - 10 = -4*d. Is (-2220)/(-18)*3/l a prime number?
False
Let g be ((-6)/5)/(3/(-10)). Suppose -n = -g*n + 9. Is n*-35*(-1)/3 prime?
False
Let i(d) = -2*d + d + 0*d + 8*d**2 - 2*d**2. Let u be i(1). Suppose u*f - 285 = 2*f. Is f prime?
False
Let l = -369 + 1351. Let g = l + -611. Is g prime?
False
Suppose 29*a = 30*a - 34. Is a prime?
False
Suppose -27*q + 28*q - 407 = 0. Is q a composite number?
True
Let q(h) be the third derivative of -h**4/3 + 5*h**3/6 - 2*h**2. Is q(-9) a prime number?
False
Suppose -2*p - 14 = -4*d, 9 - 1 = p + d. Suppose -3*b - 4*x - 25 = -9, -4*x = -p*b - 32. Let a = 93 + b. Is a a composite number?
True
Is 5/(-1) + (-23436)/(-21) prime?
False
Let k(v) = 17*v**2 + 7*v + 7. Is k(8) a prime number?
True
Suppose i = -i + 6. Suppose 2*h = 4*h - 978. Suppose 6*r = i*r + h. Is r prime?
True
Suppose 0 = 2*c + 13 + 17. Let w be 2/8 - c/4. Suppose 4*m = -4*d + 124, 4*d + 31 = 5*d - w*m. Is d a composite number?
False
Let w(s) = 2*s - 3. Let b be w(3). Suppose 3*u = -x - u - 12, b*x - 4*u - 12 = 0. Suppose 5*m + n - 55 = x, 0 = -5*m - 3*n + 7 + 48. Is m prime?
True
Let r(a) = -2*a + 4. Let t be (-3)/(0 - -3) - -4. Let g be r(t). Is g/7 - 233/(-7) prime?
False
Let y(b) = 4*b - 3. Let k be y(2). Suppose -5*v - k*r = 0, -3*r + 0*r = -3*v + 12. Suppose -3*t = v*t - 1865. Is t prime?
True
Let h be (-48)/(-20) + 2/(-5). Let o be 1*(6/h)/(-3). Is 35 + -1 - (o - -2) a prime number?
False
Let d = 1962 + -3355. Let j = 2026 + d. Suppose h + 4*h - j = -o, 0 = -o - 2. Is h a composite number?
False
Let t(z) = 21*z - 9. Is t(8) composite?
True
Let a = 72 - 41. Is a prime?
True
Let t(s) = 4*s**2 - 5*s + 12. Is t(-9) composite?
True
Let x = -4 - -7. Let q(g) = 4*g**2 - 1. | {
"pile_set_name": "DM Mathematics"
} |
st to 1? (a) j (b) z (c) 1
c
Suppose 0 = 4*u - 5 - 11. Suppose u - 5 = r. What is the closest to r in 0.2, -1/4, 2?
-1/4
Let h = 1.4 + 0. Let j = 0.4 - h. What is the nearest to j in -3, 4, -0.4?
-0.4
Let h be -4*4/(-8)*1. What is the closest to 0.2 in -2/3, h, 3?
-2/3
Suppose 1 = -4*t - k, -2*t = k + 4*k - 13. What is the closest to 0 in 0.4, 2, t?
0.4
Let t = -9/4 - -15/8. Which is the closest to -0.1? (a) 2/3 (b) t (c) 1
b
Let c = -27 + 26.7. What is the nearest to 0 in 3, 0.1, c?
0.1
Let m = 17 + -10. Let v = -10 + m. Let f = 23 + -23. What is the closest to 0.1 in v, -0.4, f?
f
Let w be (-4)/10 - (-26)/(-10). Let c = -0.05 - -9.05. Let t = c - 8. What is the closest to -2/7 in w, -0.3, t?
-0.3
Let n = -3 + 7. Suppose -n*v = v - 10. Which is the nearest to v? (a) -5 (b) 0.2 (c) 0.5
c
Let t = -20 + 50. Let p be (-3)/4*(-20)/t. What is the nearest to p in 5, 1/4, 1/2?
1/2
Let s = 0.52 + -0.12. Let n = -0.05 + -2.95. Which is the closest to -2/3? (a) 2/3 (b) n (c) s
c
Let t = -4 - -10. Suppose 3*s + 2*z = t*z - 25, 0 = 2*s + 4*z - 10. Which is the closest to 1? (a) s (b) 2 (c) -0.3
b
Let o = -4 - -3.6. Let u be 6/(-9)*6/(-34). Suppose -3*l = -0*l + 3. What is the closest to l in 0.1, o, u?
o
Let r = 5 - 1. Let j be (-338)/91 - 2/7. Let x = j + 3. What is the closest to x in r, 3/4, 5?
3/4
Let m = 0.42 + -0.12. Which is the closest to 1? (a) -0.1 (b) m (c) 3/4
c
Let o = -3/130 - 239/910. Let s(x) = -5*x + 20. Let z be s(4). Which is the closest to z? (a) 1 (b) o (c) 0.2
c
Let j = 3 + -3. Let t be (-4 - -2) + 22/12. Let k = -0.03 + 0.03. What is the closest to k in j, t, -5?
j
Let m = -115/323 + 9/19. What is the nearest to -0.2 in -5, 4, m?
m
Let r be (-1)/(-4 - (-3 + 0)). Which is the closest to 0.3? (a) -1 (b) r (c) 1/10
c
Let w = 23/124 + 2/31. Let u = -1.04 + -0.06. Let d = 6.1 + u. What is the closest to w in 2, 1, d?
1
Suppose -6*i - 28 = 4*z - 2*i, 0 = -2*z + 4*i + 10. Let m = -55 - -167/3. Let p = -5.13 - -5.13. Which is the nearest to p? (a) z (b) m (c) -0.4
c
Suppose 0 = 3*t - t + 2. Let y = -0.03 + 0.63. Let w = -0.9 + y. Which is the closest to t? (a) w (b) 0 (c) -0.1
a
Let w = -9.9 + 0.9. Let x = w - -8. Let o = x - -0.9. Which is the closest to 1? (a) 2/15 (b) -1/4 (c) o
a
Let i = -13 + 11. Let y = 0.05 + 3.95. Which is the nearest to i? (a) 2/11 (b) y (c) -4/5
c
Let m = -0.3 - 0.7. Let a = 4 - 2. Let u = 205/9 + -23. What is the nearest to u in m, a, -1/7?
-1/7
Let f = -1143/55 + 103/5. Let p = 1.4 + -2.1. What is the closest to -1 in f, -1, p?
-1
Let m = 0.3 + -0.8. Let n = m + 0.8. Let f = 2.6 + -3. Which is the closest to -0.1? (a) f (b) n (c) -4
a
Let z = -0.21 + 0.31. Let q = 4.1 + -0.1. Which is the closest to -1? (a) 3 (b) q (c) z
c
Let m = -3.5 + 3. Let t = -0.4 - -0.3. Let p = -27 + 28. What is the closest to p in -0.4, t, m?
t
Let f = 4 + -4.1. Let i be ((-10)/(-6))/(7/(-21)). Which is the nearest to f? (a) 4 (b) -3 (c) i
b
Let p = -0.99 - -3.99. Which is the nearest to 2/15? (a) 4 (b) p (c) -2/9
c
Let f = 0.02 + 1.98. Which is the nearest to -0.6? (a) 1 (b) -5 (c) f
a
Let v be (-26)/(-10) - (-6)/(-2). Which is the closest to 0? (a) -2/3 (b) v (c) 0
c
Let t = -47 + 50. Which is the nearest to t? (a) -2 (b) 0 (c) 4
c
Let c = 3.87 - -0.13. What is the closest to -2 in 0, c, -0.1?
-0.1
Let u = 5/7 - 1. Let b = 1 + -3. Let t = 4 + -3.8. What is the nearest to 2 in t, u, b?
t
Let q = -0.1 - 0.2. Let s = -0.2 - q. Let w be (-19)/(-7) - (-7 - -10). Which is the closest to -3? (a) w (b) s (c) 2/7
a
Let i = -5.4 + 6. Let f = -0.5 + i. What is the nearest to -1 in f, 4, -1?
-1
Let p = 45 + -44. What is the closest to -2/7 in 2, p, 4?
p
Let v = 0 - -6. Let i = 40/7 - v. Suppose -2*z + 7*z - 5 = 0. What is the nearest to z in 1/7, 1/2, i?
1/2
Let m = 34 - 33. Which is the nearest to -2? (a) -1 (b) 0.4 (c) m
a
Let d = -23 - -20. What is the closest to 1 in d, -1, -5?
-1
Let u = -1.3 + -3.7. Let y = -235 - -233. What is the closest to -0.1 in u, -2/11, y?
-2/11
Let y = -0.1 + 0.6. Let u = 17/9 - 103/45. What is the nearest to 0.3 in -2/7, u, y?
y
Let q = -4.3 - 0.7. Let n = 2 + q. Let t = n + 2. Which is the nearest to -1/2? (a) t (b) 4 (c) 2/3
a
Let v(r) = -r**3 + 6*r**2 + 4*r - 22. Let s be v(6). Let d = 0.7 - 0.6. Which is the closest to d? (a) s (b) -3/4 (c) -0.1
c
Let i = -0.112 - -0.012. Which is the closest to -5? (a) -2 (b) 5/2 (c) i
a
Let s = 49 + -44. Let z = 0.2 - -0.3. Which is the closest to 0? (a) s (b) 0 (c) z
b
Suppose 0 = -9*f + 12*f + 12. Which is the closest to 2? (a) -2/5 (b) f (c) 0.5
c
Suppose 0 = 3*g - 0 - 3. Let h = 20.1 + -20. Which is the nearest to h? (a) -1/4 (b) -0.1 (c) g
b
Let x = 13 - 22. Let z = x + 10. What is the nearest to 0 in 2, -0.3, z?
-0.3
Let n = 12 - 13. Which is the closest to -2/9? (a) -3/5 (b) n (c) -3
a
Let i = -25/3 - -8. Suppose 2*p - 52 = 4*m, -2*m + m - 121 = -5*p. Let o be (p/(-60))/((-4)/5). Which is the nearest to o? (a) 0.1 (b) -3/4 (c) i
a
Let j(m) = -m - 7. Let h be j(-6). Let i = 0.5 + -0.4. Which is the nearest to i? (a) -2 (b) -3/4 (c) h
b
Let q(a) = a**2 - 6*a - 1. Let x be q(6). What is the closest to 0 in x, -2/13, 5/4?
-2/13
Let k be (-12)/(-8)*12/(-9). Let q = 8 - 5. Let l = q + -2. What is the nearest to l in k, 0.5, -1?
0.5
Suppose 0 = 3*x - 0*x + 318. Let g = x - -741/7. Let y = -0.4 + 1.4. Which is the closest to y? (a) -1 (b) -5 (c) g
c
Let g = 2/245 - -464/3185. Let n = -13 + 12. What is the closest to n in -0.1, g, -2?
-0.1
Let c = 7.8 + -1.3. Let z = c + -6. Let l(i) = i**3 + 4*i**2 - 6*i - 4. Let x be l(-5). What is the nearest to x in -0.5, z, -0.3?
z
Let t = -0.24 + -0.06. Let u = -0.1 + t. Which is the nearest to u? (a) -1/3 (b) -4 (c) -2
a
Let i be (-22)/10 - (4 - 6). Let v = -0.12 + -0.03. Let s = v - 0.35. Which is the closest to 0? (a) 0 (b) s (c) i
a
Let y = 0.6 + -1.1. Let n = 0.2 - -3.8. Which is the nearest to 0.1? (a) n (b) 2/5 (c) y
b
Let i = 142 + -4968/35. What is the nearest to i in 0.2, 0, -0.4?
0
Let w = -3/11 - -23/44. What is the closest to -2/9 in 0, w, -0.4?
-0.4
Let i = -0.152 - 0.048. Which is the nearest to -0.6? (a) -1/6 (b) i (c) -0.3
c
Let x(j) = -2*j + 3. Let k be x(2). Let n be 21/(-24) + (-5)/5 + 2. Let v be (-3)/(-84) - 4/14. Which is the closest to v? (a) k (b) n (c) -3
b
Let t be 6 - ((2 - 0) + 0). Let k(j) = -j + 2. Let m be k(t). Let w be (m/(-21))/(2/(-6)). Which is the nearest to 1? (a) w (b) 4 (c) 5
a
Let r = -1168.03 - -1173. Let z = r + 0.03. Let v = z - 4.9. Which is the closest to 0.1? (a) -3/5 (b) v (c) 1
b
Let t = -13.18 - -0.18. Let l = t + 16. Which is the closest to -1/2? (a) -0.4 (b) l (c) -5
a
Let p be 6/126 + (-1)/3. What is the closest to -0.1 in 2, 0.1, p?
p
Let g = 1.2 - 1.37. Let l = g - -0.27. Which is the closest to 1? (a) 0.5 (b) 1 (c) l
b
Let x = -1.9 + 1.6. Let s = 2.5 - 2. Which is the closest to -1? (a) 3 (b) x (c) s
b
Suppose 0*a - a + 4 = 0. Let m be 2/2 + 1/(-2). Let i = 1.5 + -2. What is the closest to -1 in a, i, m?
i
Let w be 3578*(2 - 29/14). Let j = 256 + w. What is the closest to -0.1 in 1, 0, j?
0
Let d be ((-18)/90)/(1/(-2)). What is the closest to -2/7 in -1.1, d, -4?
d
Suppose -2*r - 21 = -5*f - 1, 5*r = 4*f + 1. Suppose 4*c + 2*d + 2 = 0, -2*c - f - 4 = -2*d. Let q be 0/(c + 1 + 0). What is the nearest to 0.1 in q, -3, -1/5?
q
Let h be (-21)/(-28)*5*2/3. Which is the nearest to -2? (a) h (b) 5 (c) 1
c
Let z = 8.5 + -8.9. Suppose 4*i - 9 = i. Which is the nearest to -0.1? (a) 0.3 (b) z (c) i
b
Let l = 1.4 - 1.2. Which is the closest to 1? (a) -2/13 (b) -1/3 (c) l
c
Let p be (-52)/16 - 3/(-1). Which is the nearest to p? (a) 0.3 (b) -1/10 (c) -0.3
c
Let q = 0.6 + 1.4. Which is the nearest to -1? (a) -5 (b) 5 (c) q
c
Let y = 7 - 7. Let b = y - -3. What is the closest to -0.1 in 0.2, b, 2?
0.2
Let i = -90 + 87. Which is the nearest to 2? (a) i (b) 2 (c) -0.1
b
Let t = -2 + 1.7. Let i = 5.7 + -6. Which is the closest to i? (a) 3 (b) t (c) 1
b
Let v = -108 - -107. Let j = 6 - 2. Let t be ((-6)/4)/(-5 - 1). What is the nearest to t in 1/9, j, v?
1/9
Suppose 3*n = 7*n. Suppose w = -n*w + 7. Suppose -3*r + w = -4*x, 4*r - 3*x - 2*x - 9 = 0. What is | {
"pile_set_name": "DM Mathematics"
} |
of 8445533?
3
What is the hundreds digit of 881805?
8
What is the millions digit of 5707298?
5
What is the thousands digit of 1033759?
3
What is the hundreds digit of 1935088?
0
What is the millions digit of 1687551?
1
What is the millions digit of 2152363?
2
What is the hundred thousands digit of 186143?
1
What is the units digit of 145785?
5
What is the hundreds digit of 131600?
6
What is the units digit of 84476?
6
What is the hundreds digit of 2941777?
7
What is the millions digit of 12352378?
2
What is the units digit of 3386396?
6
What is the thousands digit of 15101852?
1
What is the hundred thousands digit of 1778246?
7
What is the thousands digit of 451933?
1
What is the hundreds digit of 168214?
2
What is the hundred thousands digit of 10008427?
0
What is the hundred thousands digit of 2380918?
3
What is the hundreds digit of 405946?
9
What is the units digit of 1059331?
1
What is the millions digit of 5094277?
5
What is the tens digit of 15386129?
2
What is the ten thousands digit of 874238?
7
What is the hundred thousands digit of 3790637?
7
What is the hundred thousands digit of 20638982?
6
What is the units digit of 9526038?
8
What is the tens digit of 2248144?
4
What is the ten thousands digit of 385007?
8
What is the units digit of 1467973?
3
What is the millions digit of 2121134?
2
What is the tens digit of 565987?
8
What is the units digit of 3168459?
9
What is the ten thousands digit of 15077451?
7
What is the millions digit of 8014074?
8
What is the ten thousands digit of 10240680?
4
What is the units digit of 212433?
3
What is the hundred thousands digit of 208517?
2
What is the hundreds digit of 292244?
2
What is the hundreds digit of 2232779?
7
What is the units digit of 2666755?
5
What is the tens digit of 49628?
2
What is the hundred thousands digit of 291858?
2
What is the ten thousands digit of 1154220?
5
What is the hundreds digit of 2357135?
1
What is the hundreds digit of 270164?
1
What is the units digit of 314377?
7
What is the tens digit of 544391?
9
What is the ten thousands digit of 10767031?
6
What is the tens digit of 8947483?
8
What is the ten thousands digit of 469199?
6
What is the millions digit of 2731637?
2
What is the units digit of 2707899?
9
What is the hundreds digit of 701723?
7
What is the tens digit of 8601481?
8
What is the units digit of 12322632?
2
What is the ten thousands digit of 4805210?
0
What is the thousands digit of 125637?
5
What is the hundreds digit of 58376?
3
What is the units digit of 82399?
9
What is the ten thousands digit of 756002?
5
What is the ten thousands digit of 3395997?
9
What is the units digit of 1469277?
7
What is the hundreds digit of 10628?
6
What is the units digit of 23281612?
2
What is the tens digit of 15081498?
9
What is the tens digit of 69403?
0
What is the millions digit of 1585561?
1
What is the ten thousands digit of 4926305?
2
What is the tens digit of 3166140?
4
What is the units digit of 30532128?
8
What is the units digit of 66150?
0
What is the units digit of 54000?
0
What is the hundreds digit of 2573?
5
What is the units digit of 20625308?
8
What is the ten thousands digit of 689622?
8
What is the units digit of 4144492?
2
What is the thousands digit of 1334135?
4
What is the thousands digit of 10916461?
6
What is the thousands digit of 90125?
0
What is the ten thousands digit of 424200?
2
What is the units digit of 1615375?
5
What is the millions digit of 27926645?
7
What is the hundreds digit of 132334?
3
What is the units digit of 829626?
6
What is the thousands digit of 540716?
0
What is the hundreds digit of 3209563?
5
What is the units digit of 45974?
4
What is the thousands digit of 710213?
0
What is the hundreds digit of 902066?
0
What is the ten thousands digit of 2301490?
0
What is the ten thousands digit of 195493?
9
What is the units digit of 3242152?
2
What is the thousands digit of 52315?
2
What is the ten thousands digit of 56311?
5
What is the millions digit of 1070396?
1
What is the hundred thousands digit of 161885?
1
What is the hundreds digit of 22764?
7
What is the ten thousands digit of 18508?
1
What is the ten thousands digit of 132342?
3
What is the thousands digit of 11254584?
4
What is the units digit of 1640574?
4
What is the thousands digit of 7579622?
9
What is the tens digit of 4236212?
1
What is the thousands digit of 2824480?
4
What is the ten thousands digit of 51129?
5
What is the hundreds digit of 3422108?
1
What is the millions digit of 10813131?
0
What is the ten thousands digit of 3935210?
3
What is the ten thousands digit of 236787?
3
What is the ten millions digit of 12348573?
1
What is the ten thousands digit of 931062?
3
What is the ten thousands digit of 13446102?
4
What is the hundreds digit of 5408444?
4
What is the hundreds digit of 74787?
7
What is the units digit of 209293?
3
What is the units digit of 1394181?
1
What is the thousands digit of 12594241?
4
What is the thousands digit of 915045?
5
What is the units digit of 243685?
5
What is the ten thousands digit of 9228366?
2
What is the tens digit of 16907934?
3
What is the tens digit of 2423523?
2
What is the units digit of 125009?
9
What is the tens digit of 413785?
8
What is the millions digit of 9411444?
9
What is the ten thousands digit of 13709019?
0
What is the units digit of 1363279?
9
What is the hundred thousands digit of 258876?
2
What is the millions digit of 3626431?
3
What is the hundred thousands digit of 39612444?
6
What is the hundreds digit of 78830?
8
What is the hundreds digit of 289893?
8
What is the ten thousands digit of 4563903?
6
What is the units digit of 237382?
2
What is the hundred thousands digit of 17445942?
4
What is the units digit of 29326433?
3
What is the ten thousands digit of 3574908?
7
What is the thousands digit of 2870942?
0
What is the ten thousands digit of 4602866?
0
What is the hundreds digit of 58988?
9
What is the thousands digit of 2289339?
9
What is the hundred thousands digit of 129864?
1
What is the hundred thousands digit of 1054844?
0
What is the hundreds digit of 6948204?
2
What is the thousands digit of 1566401?
6
What is the hundreds digit of 683967?
9
What is the tens digit of 12342641?
4
What is the thousands digit of 659207?
9
What is the ten thousands digit of 15494?
1
What is the units digit of 1380532?
2
What is the ten thousands digit of 1185988?
8
What is the ten thousands digit of 1004976?
0
What is the units digit of 6061421?
1
What is the tens digit of 217718?
1
What is the hundreds digit of 2702451?
4
What is the millions digit of 1691507?
1
What is the hundred thousands digit of 23317817?
3
What is the millions digit of 2860228?
2
What is the thousands digit of 133809?
3
What is the ten thousands digit of 1955732?
5
What is the units digit of 1082249?
9
What is the thousands digit of 3944541?
4
What is the hundreds digit of 29443879?
8
What is the tens digit of 295025?
2
What is the hundreds digit of 24831?
8
What is the tens digit of 166586?
8
What is the ten thousands digit of 7315034?
1
What is the units digit of 1718728?
8
What is the millions digit of 5559437?
5
What is the thousands digit of 321449?
1
What is the hundred thousands digit of 272128?
2
What is the tens digit of 40676?
7
What is the millions digit of 2207239?
2
What is the units digit of 1012474?
4
What is the tens digit of 4082555?
5
What is the units digit of 1742522?
2
What is the tens digit of 2964737?
3
What is the ten thousands digit of 540344?
4
What is the thousands digit of 368619?
8
What is the thousands digit of 4406988?
6
What is the hundreds digit of 181066?
0
What is the units digit of 1633019?
9
What is the thousands digit of 29141819?
1
What is the hundreds digit of 48414?
4
What is the thousands digit of 1551593?
1
What is the tens digit of 1487190?
9
What is the ten thousands digit of 245134?
4
What is the tens digit of 3404853?
5
What is the units digit of 288855?
5
What is the tens digit of 1498785?
8
What is the hundred thousands digit of 341479?
3
What is the thousands digit of 11054509?
4
What is the thousands digit of 1263303?
3
What is the hundreds digit of 6361522?
5
What is the hundreds digit of 201324?
3
What is the ten thousands digit of 254748?
5
What is the hundreds digit o | {
"pile_set_name": "DM Mathematics"
} |
*u - 528 = -4*g, -u + g + l = -63. Suppose 2*z + 3*r = 57, 4*r = 3*z + z - u. Does 9 divide z?
True
Let s = 337 - 120. Is 11 a factor of s?
False
Let i(t) = -t**3 - 4*t**2 + 6*t + 5. Let g be i(-6). Let n = g - 20. Does 7 divide n?
True
Let d(z) = -z**3 - 5*z**2 + 11*z - 11. Let u be d(-9). Suppose -6*b + 254 = -u. Does 26 divide b?
True
Let d(f) = -f**3 - 3*f**2 - 5*f - 3. Let k be d(-7). Let h be (k/(-18))/((-6)/9). Suppose 39 = 3*l + 5*w, -3*l = w - 20 - h. Is l a multiple of 13?
True
Let z(a) = -a**3 + 7*a**2 + 15*a - 28. Is z(8) a multiple of 4?
True
Suppose -14*g = -5508 - 1422. Is 103 a factor of g?
False
Let y(t) = -2*t**3 + 3*t**2 - t. Let l be y(1). Suppose -2*a + 5*k + 12 + 4 = l, 2*a = k + 32. Is a a multiple of 3?
True
Let z(c) = 4*c**2 + c - 8. Let u be z(2). Suppose b = -u + 21. Is b even?
False
Let v(y) = 3*y - 7. Let o be v(3). Suppose -4*m - b + 36 = 13, 0 = -3*m + o*b + 9. Suppose 0 = m*w - 0*w - 65. Is w a multiple of 13?
True
Let y(a) = -5*a + 5. Let l be y(-4). Suppose 0 = -0*t - 3*t + 3, 3*t + l = 2*f. Is f a multiple of 7?
True
Let s be (1 - -32) + (-8 - -10). Suppose -3*c + 4*x = -180, -4*c + 5*x + 275 = s. Let a = -9 + c. Does 17 divide a?
True
Let l = 39 - 15. Does 7 divide l?
False
Suppose 4*b - 6 = -22, 2*b - 1342 = -2*u. Is 15 a factor of u?
True
Suppose 2*o - 1320 = -9*o. Does 8 divide o?
True
Let q = -411 - -844. Does 18 divide q?
False
Let r(i) = 28*i**3 - 2*i**2 + 5*i - 2. Let f be r(1). Let k = f - -43. Is 12 a factor of k?
True
Let x = -329 - -573. Does 61 divide x?
True
Let l = -530 + 854. Suppose 7*g - l = 3*g. Is g a multiple of 9?
True
Let m = -487 + 828. Suppose -4*o + m + 283 = 0. Is 24 a factor of o?
False
Suppose -8 = t + 3*h, 5*h + 4 = t + 12. Let j(q) = q**3 + 8*q**2 - 6*q - 20. Does 5 divide j(t)?
False
Suppose 0 = -4*c + 8, 4*x - 26 = -x - 3*c. Suppose -4*h + 144 - x = 0. Is 7 a factor of h?
True
Suppose 3*x = 7*z - 3*z + 258, 4*x + 3*z = 369. Let q be ((-5)/(-10))/((-1)/(-84)). Let r = x - q. Is r a multiple of 24?
True
Is -3*1/3*(-46 + 3) a multiple of 12?
False
Suppose 3*n - 4*o - 20 = 14, -2*n + 2*o + 26 = 0. Is n a multiple of 3?
True
Suppose -3*n + 18 = 3*g, -17 = -5*g + g + 3*n. Let t be g - (-4)/(-4)*-2. Suppose 0 = 2*o - 4*u + 2*u - 10, 5*o - t = -4*u. Does 2 divide o?
False
Let z(f) = -f**2 + 18*f + 9. Let x be z(18). Suppose -x*k + 4*k + 75 = 0. Is 8 a factor of k?
False
Is (12 + 30)/(-14) - 912/(-1) a multiple of 107?
False
Does 15 divide ((-17185)/(-21) - -4) + 6/9?
False
Let g = 811 - 670. Does 15 divide g?
False
Let y be -1 - 1*(-5 - -2). Suppose y*d + 2*i = -2*i + 56, -i = -4*d + 103. Suppose -35 = -n + d. Is 15 a factor of n?
False
Let b = 256 + -137. Let k = -39 + b. Does 19 divide k?
False
Let u = 425 - 412. Is 13 a factor of u?
True
Let n be (0 - 0)*2/(-4). Suppose n = 5*o - 3*o - 58. Is 5 a factor of o?
False
Let m(a) = -7*a - 10. Let i be ((-6)/(-4))/(12/(-80)). Let p be (-37)/5 + (-4)/i. Does 13 divide m(p)?
True
Suppose -11*q = -0*q + 5*q. Suppose -5*m = -5*o + 314 + 211, 4*o - 3*m - 417 = q. Is o a multiple of 26?
False
Let n(c) = 7*c - 27. Does 2 divide n(7)?
True
Let q be (-98)/(-7)*(16 + 0). Suppose -4*t - 4*t + q = 0. Is 14 a factor of t?
True
Suppose -x = 5*c - 201, 92 + 27 = 3*c - x. Does 11 divide 504/c - 1/(5/(-2))?
False
Suppose 0*d = 2*d - 4. Suppose f = -d*x - 3, 2*f + 4*x - x + 1 = 0. Does 7 divide f?
True
Let r(o) = -5*o**3 + 11*o**2 + 13. Let w(z) = z**3 - z**2 - 1. Let l(s) = -r(s) - 6*w(s). Does 37 divide l(-8)?
True
Suppose 0 = -87*y + 86*y + 2. Is 11 a factor of 55/(-3)*(y - 11)?
True
Suppose 0 = 38*g - 36*g - a - 816, -1628 = -4*g + 4*a. Does 17 divide g?
False
Let a = 1410 - 626. Suppose 4*b + 2*f - a = 920, -4*f - 2130 = -5*b. Suppose 5*k - b = -k. Is 10 a factor of k?
False
Suppose -3*u = -2*p - p + 252, 0 = 2*p + 2*u - 180. Let l = p - 53. Is 2 a factor of l?
True
Suppose -h = -3*p + 140, p - h + 175 = 5*p. Is 6 a factor of p?
False
Is 13 a factor of (-13)/(117/99) + 588?
False
Suppose 5*i - 777 = -4*g, -2*i - 3 = 3. Is g a multiple of 11?
True
Let u = 17 + -15. Let k(r) = 6*r + 0*r - 8 - 8*r + r**u. Does 5 divide k(6)?
False
Let b be 18/(-8)*96/36. Is 21 a factor of (-2)/(8/126)*8/b?
True
Let v(a) = 50*a**3 - 2*a**2 - a + 1. Is 23 a factor of v(2)?
True
Let y(m) be the third derivative of -m**4/24 + 15*m**3/2 + 7*m**2. Let j be y(17). Let i = j - -8. Is i a multiple of 13?
False
Let a(v) = 5*v + 2*v - 2 + 9*v - 2. Is a(4) a multiple of 10?
True
Let n = -209 - -391. Is n a multiple of 7?
True
Let d(f) = -f + 10. Let t be d(10). Let k be 1 - t/4 - 1. Suppose k*w = 2*w - 36. Is w a multiple of 18?
True
Suppose 7*m - 11*m = 36. Suppose 73 - 10 = 3*x. Let v = m + x. Is 12 a factor of v?
True
Suppose -18*w + 33 + 21 = 0. Is w even?
False
Let s be 3861/(-7) + (-33)/77. Is ((-4)/6)/(16/s) a multiple of 19?
False
Suppose 8*s = 3*s - 5*n, 0 = -5*n - 15. Suppose -2*p - 2*l + 114 = 0, -57 - 16 = -p + s*l. Suppose -20 = h - p. Does 19 divide h?
False
Let t(z) = z**3 - 7*z**2 + 6*z + 12. Let h be t(5). Does 12 divide (2022/h)/(-3) + 2/(-8)?
True
Let t(d) = d**3 + 2*d**2 + 8*d - 12. Is t(4) a multiple of 15?
False
Let k(q) = 2*q**2 - q - 7. Let w be k(0). Let j = w - -76. Does 20 divide j?
False
Is (-7 + 9/((-27)/(-6)))*-8 a multiple of 11?
False
Let z be (931 - 1)*(0 - 4/(-8)). Suppose -z = -3*x + 2*q + q, 0 = x + 5*q - 125. Is 26 a factor of x?
False
Suppose -130 = -3*f - 4*j, f - 20 = -j + 22. Suppose -26 = -x - 3*c + f, -3*c + 272 = 5*x. Does 13 divide x?
True
Let c(n) = n**2 - 3*n + 4. Let q = 27 + -21. Suppose -10 - q = 4*w. Is 16 a factor of c(w)?
True
Let k = -68 - -20. Let r = -23 - -109. Let q = r + k. Is q a multiple of 15?
False
Let v(u) = 4*u**2 - 20*u + 23. Let q(p) = 7*p**2 - 40*p + 45. Let c(r) = -3*q(r) + 5*v(r). Is c(14) a multiple of 8?
True
Suppose -27*q + 5200 = -2*q. Is q a multiple of 4?
True
Suppose -3*l - 4*a = 24 - 164, 5*l - 276 = 4*a. Does 11 divide l?
False
Let i = -471 - -1016. Does 4 divide i?
False
Suppose 5*b - 2*p = 3*p + 1820, 0 = -b - p + 358. Suppose 5*g - b - 399 = 0. Does 11 divide g?
False
Let k(z) = 27*z**2 - 1. Let s be k(1). Let a be ((-444)/(-30))/(2/10). Suppose 4*i - s = a. Does 11 divide i?
False
Let o(b) = -4*b - 73. Is o(-29) a multiple of 21?
False
Let q(k) = 2*k + 53. Let v be q(-24). Let y(z) = z**2 - z + 1. Let i(d) = -4*d**2 + 7*d - 1. Let b(j) = i(j) + 6*y(j). Is b(v) a multiple of 15?
True
Let m(j) be the first derivative of 25*j**3/3 + 3*j**2/2 + 2*j + 7. Is 12 a factor of m(-1)?
True
Let n be -1*8 + (2 - 2). Let y = 9 + n. Is (-70)/(-4) - y/2 a multiple of 13?
False
Let l(d) = d**3 + 19*d**2 - 46*d - 36. Let v be l(-20). Let z = v - 273. Is 22 a factor of z?
False
Let m(g) = 5*g**2 - 7*g - 8. Does 13 divide m(6)?
True
Let r(g) = -16*g**2 - g - 1. Let p be r(-1). Let k(h) = -h**3 - 15*h**2 + 17*h + 18. Let y be k(p). Is 27 a factor of 91/y*(-2 - -4)?
False
Suppose 5*j - 4*f + 246 = 5716, -2*f = -j + 1100. Does 8 divide j?
False
Let x(d) = -7*d**2 - 2*d - 2*d**2 - d**3 + 3*d**2 - 6*d**2. Is 8 a factor of x(-12)?
True
Does 40 divide -1 - -326 - (5 - 0)?
True
Let l = 47 - 46. Let z(f) = 21*f + 1. Is 10 a factor of z(l)?
False
Let m(l) = 4*l**3 + 6*l - 14. Is m(4) a multiple of 38?
True
Suppose -p + 1695 = -4*j, 0 = 20*p - 16*p + 5*j - 6822. Is 85 a factor of p?
False
Let a be (-8)/4*(1 - 2). Suppose a*t - 3*q - 88 = -0*q, 3*q = -6. Is 14 a factor of t?
False
Suppose -3742 = -3*u - h + 5036, -5*u - h + 14628 = 0. Is u a multiple of 73?
False
Let q be (-100)/(((-2)/18)/(8/(-48))). Let l = q - -255. Does 15 divide l?
True
Suppose -2*p + 4820 = 2*s, -2*p - s + 9646 = 2*p. Let g be p/135 - (-4)/30. Suppose 16*y = g*y - 112. Does 8 divide y?
True
Is 12/(-15) + 1014/30 a multiple of 11?
True
Let i(w) = -w - 3. Let x be i(-5). Suppose 0 = y - 2*y - x*n + 46, -y - 5*n + 43 = 0. Suppose 5*z - 264 = -a, 6*a - y = -z + a. Does 9 divide z?
False
Let n be (6/5)/((-6)/(-20)). Suppose 0 = 5*d - 4*k + 3*k - 35, 2*k - 7 = -d. Suppose -d*a + n = -5*a. Does 2 divide a?
True
Suppose 5*z + 210 = m, 4*z = -5*m + 410 + 553. Does 23 divide m?
False
Let c = 3476 + -2152. Is c a multiple of 10?
False
Is 29 a factor of 6*(-11)/(11/(-64))?
False
Let f be (66/(-15) + 4)*-5. Suppose f*d - 338 = -0*d. Does 17 divide d?
False
Suppose -3* | {
"pile_set_name": "DM Mathematics"
} |
uppose -3*n + p + o*p = -74, -5*n + 135 = 5*p. List the prime factors of n.
2, 13
Suppose 50 = 5*o - 10*o. Let q = o - -14. Suppose -4*x + 38 = -5*w, -w = q*w + 10. List the prime factors of x.
7
Let c = -19 + 14. List the prime factors of (c + 1)*(-11)/22.
2
Suppose 0 = -2*g + g + 2. Let b(w) = 7*w**2 + 2*w - 1. Let i be b(-2). Suppose 5*a - 62 = -3*r, -1 = -g*a - r + i. What are the prime factors of a?
2, 5
What are the prime factors of ((-3)/6)/((-4)/136)?
17
Suppose -4 - 2 = -3*c. Let q = -26 + 14. Let n = c - q. List the prime factors of n.
2, 7
Let o(w) = 37*w**2. What are the prime factors of o(1)?
37
Let n(o) = -4*o + 2. Let y be n(-3). Let f = 4 - 14. Let v = f + y. List the prime factors of v.
2
Suppose r - 18 = 3*q, 3*r - 47 - 22 = 4*q. Suppose g + 3*y - 11 = -0*y, r = g - y. List the prime factors of g.
23
Let x(k) = -k + 1. Let w be x(-3). Let q(r) = 4*r - 2*r - 1 - 2 - r**3 - w*r**2. What are the prime factors of q(-5)?
2, 3
Let s(v) be the third derivative of -v**4/6 - v**3 - 2*v**2. Suppose 5*j - 3 + 23 = 0. What are the prime factors of s(j)?
2, 5
Let n = 1 - -12. Let h = 19 - n. List the prime factors of (-76)/(-6) - 4/h.
2, 3
Let w(l) = -l**2 + 6*l + 2. Let k be w(6). Let c(r) = 1 + 3*r - 1. What are the prime factors of c(k)?
2, 3
Suppose -4*w - 82 = 5*i, 2*w = 3*i - 34 + 4. Let m be (27/6)/(12/(-32)). Let b = m - w. What are the prime factors of b?
2, 3
Suppose 5*d + l + 3 = 0, -l + 3*l + 6 = -2*d. Suppose 4*t + o - 45 = d, -t + 0*o = 4*o. What are the prime factors of t?
2, 3
Let m be 1/2 - (-31)/2. Let t = m + -11. Suppose 0 = -t*q + 25, -3*c - 2*q - 3*q + 70 = 0. What are the prime factors of c?
3, 5
Let g be 69/(-5) + (-1)/5. Let q = g + 69. List the prime factors of q.
5, 11
Let v(z) = z**3 + 6*z**2 - 2*z - 5. List the prime factors of v(-4).
5, 7
Suppose 3*g - 8 = 2*g + 2*p, 0 = 5*g + 3*p + 25. Let j be 6/(-4) + (-21)/(-2). Let o = j - g. List the prime factors of o.
11
Let l = 15 - 8. Suppose -3*w - l = -46. List the prime factors of w.
13
Suppose 0 = -4*c + 6*c - 6, -2*b + 2*c + 54 = 0. What are the prime factors of b/12*8/5?
2
Let y(r) = -r**2 + 3*r + 4. Let t be y(3). Suppose v = 2*a - 0*a + t, -3*a = -6. List the prime factors of v.
2
Let z(c) = 5*c - 4. Let w be z(4). Suppose -5*n = -5*q - w - 14, 3*q - 6 = 0. Let t = n + -6. List the prime factors of t.
2
Suppose 2*x - i - 49 = 0, -2*x - 4*i = -6*i - 52. List the prime factors of x.
23
Let s(w) = -w**3 + 5*w**2 - w + 3. Let l be s(5). Let r be (12/16)/(l/(-16)). Suppose z - r = 1. What are the prime factors of z?
7
Suppose 2*x + 4 = 3*x. Suppose 0 = -j - x*j + 75. What are the prime factors of j?
3, 5
Suppose -2*z = k - 3*k + 64, 5*z - 92 = -2*k. List the prime factors of k.
2, 3
Suppose 3*d - 4*l - 204 = 0, -l = -d + 4*l + 68. What are the prime factors of d?
2, 17
Let b(u) = 0*u**2 - 15 + 19 + u**2 + 3*u - 4*u. List the prime factors of b(0).
2
List the prime factors of (-2285)/(-65) + 4/(-26).
5, 7
Let z be (6/4)/(1/2). Suppose -z*u + 23 - 8 = 0. Suppose 0*w - 55 = -u*w. List the prime factors of w.
11
Let h(i) = -i**2 + 2*i. Let a be h(3). Suppose j = 5*j - 4. What are the prime factors of j/a - 50/(-6)?
2
Suppose -42 = 4*z - 7*z. What are the prime factors of (-6)/(z/(-10) - -1)?
3, 5
Suppose 0 = p - 0*h - 3*h - 51, -5*p + 217 = 4*h. List the prime factors of p.
3, 5
Let d be (12/9)/(2/(-6)). List the prime factors of (-56)/(-21)*(-33)/d.
2, 11
Let a = -38 - -80. Let f = a + -28. What are the prime factors of f?
2, 7
Let l = 97 - 55. Suppose 5*i - 2 = -l. List the prime factors of (-14)/i*(5 + -1).
7
Let t(i) = i**2 + 4*i - 4. Let w be t(-6). Let z = 12 - w. What are the prime factors of z?
2
Let d(o) = -o**3 - 2. Let q be d(-2). Suppose 4 = q*c - 2*c. What are the prime factors of (3/(-3))/(c/(-12))?
2, 3
Suppose -5*g - 5 = -0. What are the prime factors of (g/3)/((-1)/9)?
3
Let p(m) = -4*m - 7. Let g be p(-3). List the prime factors of -9*(g/(-3))/5.
3
Let x = 36 - -4. Suppose q - x = -q. List the prime factors of q.
2, 5
Suppose -2*c - 6 = 0, 2*z - 2 = c + 7. Suppose -z*d + 16 = -11. Suppose -x + 3 = -d. List the prime factors of x.
2, 3
Let n = 16 - 12. Suppose -n*i = -75 + 15. List the prime factors of i.
3, 5
Let j(b) be the first derivative of b**2 - 8*b - 1. What are the prime factors of j(11)?
2, 7
Suppose 3*s + s = 0. Suppose 16 = 4*m - s*m. Suppose -m*w - 10 = -6*w. What are the prime factors of w?
5
Let w(j) = -j**2 + 6*j - 5. Let p be w(4). Let x = p + -1. List the prime factors of 7 + x - (1 + 1).
7
Let d(i) = i + 1. Let c be (7 + -2 + 0)/1. What are the prime factors of d(c)?
2, 3
Let y(b) = b**2. Let f(v) = 2*v - 1 + 2*v**2 + 3*v**2 - 3*v**2. Let j(p) = f(p) + 4*y(p). What are the prime factors of j(1)?
7
Suppose -498 + 1379 = 5*z + 4*a, -2*a - 857 = -5*z. What are the prime factors of z?
173
Suppose -7*w + 4*w + 18 = 3*j, -w + 36 = -5*j. Let v = -7 + w. Let b = 7 - v. What are the prime factors of b?
3
Suppose -i - 4*o + 8 = 0, 5*o + 0 = 3*i + 10. Let v = i + 2. List the prime factors of v.
2
Suppose -3*y + 4*v - 4392 - 2593 = 0, -9303 = 4*y + 5*v. List the prime factors of y/(-65) - (-2)/10.
2, 3
Suppose -3*u - 5*v = -3*v - 951, 2*v = 3*u - 951. List the prime factors of u.
317
Suppose -133 = -3*u + 5*w, -49 = -u + w - 4*w. List the prime factors of u.
2, 23
Let l be 2/(-6) - (-2)/(-3). Let x be l - -4 - 0/2. Suppose -23 = -2*u + i, 0*i + x*i + 14 = u. List the prime factors of u.
11
Let q = -91 - -168. List the prime factors of q.
7, 11
Suppose 0 = -p - 0*w - 5*w + 13, -34 = -2*p - 2*w. What are the prime factors of p + (-1 - 5) + 3?
3, 5
Let j = -4 - -26. List the prime factors of j.
2, 11
Let i(h) be the third derivative of -h**4/12 + h**3/3 + h**2. What are the prime factors of i(-4)?
2, 5
Suppose 3 - 2 = 3*p + 4*f, 3*f = -2*p. Let b(n) = p*n**2 + 3*n + n**2 - 4 + 3 - 5*n. What are the prime factors of b(2)?
11
Suppose -10*y + 503 = -157. What are the prime factors of y?
2, 3, 11
What are the prime factors of -2*1*236/(-8)?
59
Suppose 4*s - 2 + 30 = 0. Let r = s - -26. What are the prime factors of r?
19
Let k(l) = l**2 - 3*l - 2. Let n be k(4). Suppose n*o - 2*j - 22 = 0, -2*j = -o + 10 - 0. List the prime factors of o.
2, 3
Suppose -j = j. Suppose -2 = b - j*t - 3*t, 0 = -3*b - 3*t + 6. Suppose 8 = -2*r, 5*r = -3*a + 9 + b. List the prime factors of a.
2, 5
Suppose f + 20 = 5*f, 2*v - 3*f = -3. Let o be 250/v + 4/(-6). Let u = o + -26. List the prime factors of u.
3, 5
Suppose 3*v + 4 = 4*v. Suppose 0 = g - 4*g + 3*i + 3, -4*g + 12 = v*i. Let r = g + 4. What are the prime factors of r?
2, 3
Let b be 1*((-1 - -2) + 1). Suppose -y = 5*q, -2*y + 6*y = -2*q. Suppose 0 = -2*k - 7*n + 6*n + 3, q = 2*k + b*n. List the prime factors of k.
3
Let w(d) = d**2 + d - 1. Let k be w(2). Suppose 3*v = k*b + 12, b + 1 - 21 = -5*v. List the prime factors of v.
2
Suppose 2*x = -3*a + 59, -a + 45 = 2*x - 8. What are the prime factors of x?
5
Let d = -6 - -9. Suppose -m + 2*m = -d*x - 1, -2*m + 4*x + 8 = 0. List the prime factors of m.
2
Let k = -1 - 6. Suppose p - 5*b + 14 = -7, 4*b = -3*p + 32. Let c = p - k. What are the prime factors of c?
11
Suppose -4 = 2*r + 10. Let h(g) = -2*g + 8. List the prime factors of h(r).
2, 11
Let r(o) = 3*o + 1. List the prime factors of r(2).
7
List the prime factors of 23 + -13 - 8/(-2).
2, 7
Let k = 196 - 80. Suppose -7*s + k = -3*s. What are the prime factors of s?
29
Let f(z) = -13*z + 4. Let l(o) = -15*o + 2. Let v(r) = 7*r - 1. Let k(u) = -3*l(u) - 7*v(u). Let h(x) = -6*f(x) + 21*k(x). What are the prime factors of h(-2)?
3
Let o be (-7)/28 + 63/(-4). Let f = -24 - o. List the prime factors of 250/40 + 2/f.
2, 3
Suppose -2*v = 6, 3*v = -k - 0 - 5. What are the prime factors of k?
2
Let w be -1 - (-1 + (-8 - 2)). Suppose 4*y - w = 2*y. Suppose -3*k = y*q - 17, -11 + 3 = 4*q. List the prime factors of k.
3
Let u(v) = v**3 + 12*v**2 + 10*v - 7. Let n be u(-11). Suppose -f = 4*b - 3*f - 22, 0 = -n*b + 5*f + 31. What are the prime factors of (5 + -4)*1*b?
2
Suppose 2*x + d - 55 = 0, -3*x - 6*d = -11*d - 102. What are the prime factors of x - (-7 - (-2 - 1))?
3, 11
What are the prime factors of (1/(-3))/(4/(-1308))?
109
Let x(s) = 5*s - 1. Let u be x(-6). Suppose -3*v + 157 = 3*h - 4*v, -5*h + 259 = -v. Let l = | {
"pile_set_name": "DM Mathematics"
} |
5. Is 9/2 >= i?
True
Let b be 34/6 + (-2)/(-6). Let j = 8 - b. Which is bigger: 0 or j?
j
Let g = 19 - 18. Is g less than or equal to 1/2?
False
Suppose 8*h - 9*h + 1 = 0. Is 1 <= h?
True
Let w be (2 - (0 + 4))/(-1). Suppose -6*x + 40 = -w*x. Is x equal to 12?
False
Let j = 0.31 + 0.29. Which is smaller: j or 0?
0
Let n(a) be the first derivative of a**2 - 6*a - 3. Let i be n(10). Suppose -3*w - 10 = -4*l, 5*l + 1 = 4*w + i. Which is smaller: -1 or l?
-1
Let h = 4.3 + -0.3. Let u = h + -8. Is -1/3 <= u?
False
Let k be (-8)/(-4)*(-2)/12. Let x = -48/7 + 418/63. Which is smaller: x or k?
k
Let c = -0.1 - -0.3. Let n = 3 - 0. Suppose -r = 2*r + n. Are c and r non-equal?
True
Suppose -3*j + 2*c + 11 = -2, 3*j + 17 = -4*c. Which is bigger: -1/21 or j?
j
Let b be ((-2)/3)/(1/(-3)). Let o(h) = h**2 - h. Let c be o(2). Suppose -3*x = 15, 6*x = -c*s + b*x - 22. Does s = -1?
True
Let q(b) = -b**2 - 9*b - 1. Let j be q(-12). Is j bigger than -38?
True
Suppose 3*q - a = -6, 2*a - a + 6 = -3*q. Let z be ((-3)/6)/(q/4). Are z and -1/4 nonequal?
True
Let j(h) = 2 + 3 - 5 + h - 1. Let q be j(-5). Let o be ((-2)/q)/(3/36). Which is smaller: 2 or o?
2
Let a = -202 + 183.2. Let h = -20 - a. Which is bigger: 1 or h?
1
Suppose -4*c + 39 = 7. Suppose -5*m + c = -12. Suppose g = 5, -2*z + g + 5 = -0*g. Does m = z?
False
Let u = -42 + 125/3. Let h = 6.01 - 6. Let w = h - 4.01. Is u at least as big as w?
True
Let b(q) = q - 1. Let a be b(1). Let n = -1 + 1. Is a not equal to n?
False
Let h = 0.089 + 0.011. Suppose 4*o = m + 27, -2 = 3*o + 5*m - 51. Which is smaller: o or h?
h
Let g = -1.37 - -1.07. Is 6/5 < g?
False
Suppose 0 = -3*i - 2*i + 85. Let d = 16 - i. Which is bigger: d or 1/2?
1/2
Suppose 3*s - 7 - 2 = 0. Let q be 1/(11*(-4 + s)). Which is bigger: 0 or q?
0
Let g = -51.7 - -2.7. Which is smaller: 0 or g?
g
Let c(g) = -g**2 + 10*g - 10. Let v be c(7). Let y = v + -9. Suppose -2*l + l - y = 0. Is 1 < l?
False
Let o = -0.24 - -0.14. Is o less than or equal to 0.06?
True
Let a = 145 + -140. Which is greater: a or 8?
8
Let q = -1135/56 + -1/56. Let n = q - -20. Are n and 1/3 equal?
False
Let q(z) = z**2 + z - 1. Suppose -2*r = 5*u - 2 - 4, -5*u + 2*r + 14 = 0. Let p be q(u). Let f = 5 + 0. Is p greater than or equal to f?
True
Suppose 5*f + 5*i = 80, -i = f - 3*i - 4. Suppose 4*d - 3*x - f = -x, 3*x = 6. Which is smaller: d or 0.2?
0.2
Let c be ((-97)/(-48) + -2)/(-1). Let o = c - -13/48. Is 0.1 >= o?
False
Let d = -5 + 4. Let w = -0.5 - d. Let t = w - -2.5. Is t at least as big as 2/3?
True
Let j(v) = 2*v**2 + 3*v + 6. Let c(a) = -2*a**2 - 3*a - 7. Let l(u) = 5*c(u) + 6*j(u). Let p be l(-2). Suppose 0*w - p*w = 0. Which is greater: w or 1?
1
Let l be 46/8 + 11/44. Suppose 4*s + l = -2. Is -4/3 less than or equal to s?
False
Let h(s) = -4*s**3 + 2. Let r be h(-2). Let j be 5/r*(-8)/(-10). Which is bigger: j or 1?
1
Suppose 2*v + 30 = 7*v - 2*n, 4*n = v - 6. Let h = -7 + v. Do h and -2 have the same value?
False
Let y = 5 + -2. Suppose -2 = y*c - 2*z, 0 = -5*c - z + 3*z - 2. Is 2/13 < c?
False
Suppose -11 = -2*v - 5*l, -v + 0 = -5*l + 2. Which is smaller: 8 or v?
v
Let c = 3 - 3. Let z = -10 + 10.3. Are c and z nonequal?
True
Suppose 7*n = 8*n - 6. Suppose -3*a = -6*m + m + n, 0 = 3*m + a + 2. Let h be 16/42 - 4/6. Which is smaller: m or h?
h
Let x be 3/4 + (-4)/112*-27. Which is smaller: 1 or x?
1
Let d(o) = -o + 12. Let w be d(13). Let v be ((0 - 0)/(-1))/1. Is w <= v?
True
Let l = -3.5 - -3.39. Are 0 and l non-equal?
True
Let a = -75.97 - 1.03. Is 1/4 greater than or equal to a?
True
Suppose 3 - 1 = -k, -1026 = 4*j - 5*k. Let o = j - -1797/7. Is -1 less than or equal to o?
False
Suppose -4*q = -5*a - 17, 5*q + a = 3*a. Let z = 4 - 3. Let j = z + q. Is 0 >= j?
True
Let x be (-46)/(-216) - (-5)/(-20). Is 1 at least x?
True
Suppose -3*m = -15 - 9. Let x be (-1)/2 + 2/m. Do 0 and x have the same value?
False
Let f be (-3)/(-4) - 310/40. Which is smaller: f or 0?
f
Suppose -3*o - 905 = -8*o - 5*m, -4*o = -m - 724. Let t = -1271/7 + o. Are t and -2 nonequal?
True
Let j(v) = -2*v**2 - 5*v + 2 + 8*v + v**2. Let g be j(4). Which is smaller: 0 or g?
g
Suppose 3 = i - 2*i, 0 = -2*h - 2*i - 6. Which is smaller: h or 2/105?
h
Let r(l) = l**2 - 3. Let y be r(0). Let p(h) = -h**3 - 2*h**2 + 4*h + 4. Let t be p(y). Is 0 <= t?
True
Let h(r) = r + 9. Let i be h(-9). Which is smaller: 1 or i?
i
Let t be -16*((-11)/6 - -2). Let s be -8 + 6 - (2/2 - 1). Does t = s?
False
Let t be -3*3/(-15)*-5. Let b be t*(-5)/((-330)/4). Is 0 at least b?
True
Let a be (2/(-5))/(2/20 - 0). Which is smaller: a or 1?
a
Suppose 0 = -2*b - 3*b + 5*d + 25, d + 5 = 5*b. Is b at most 0?
True
Let u = -532 - -341. Let l = 192.97 + u. Let g = -0.03 - l. Which is smaller: -1/2 or g?
g
Let a(z) = z**3 + 2*z**2 - 6*z - 5. Let m be a(-3). Let b be ((-4)/(-8))/(m/(-24)). Which is smaller: b or -1?
b
Let f = -1.3 - -1.5. Which is smaller: f or 2?
f
Let o = 8.79 - -0.21. Let m = -6 + o. Let n = 1 - 1. Is m greater than or equal to n?
True
Let o = -5.1 + 0.6. Which is greater: o or 2/5?
2/5
Let f be ((-42)/(-4)*(-32)/(-40))/(-4). Is f greater than -2?
False
Let v = 2 - 2.1. Let h = v - -0.3. Let p = 2.9 + -3. Which is greater: p or h?
h
Suppose -10 = 5*v - 5*d, 0 = -3*v + 5*d - d - 8. Suppose v*x = -3*x + 3. Do -1 and x have the same value?
False
Let c be ((-21)/28 - 0)/(3/(-2)). Which is bigger: 1 or c?
1
Suppose 0 = 2*n + n - 2*k - 5, 0 = 5*n + 5*k + 25. Let u = -979 - -1913/2. Let h = u + 22. Which is smaller: h or n?
n
Let b be 54/(-24) - 1/(-4). Is b at most -42/13?
False
Let d = -5/18 + -43/18. Is -2 at least as big as d?
True
Let a = -7.11 + 0.11. Let k = a + 6. Which is smaller: 6 or k?
k
Let p = 18 - 12. Suppose -c + p*c - 10 = 2*k, -5*k = -3*c + 6. Which is bigger: 4 or k?
4
Let u = -123 - -120. Suppose -3*x - 16 = 2*z, 5*z - 16 = -x - 43. Is z < u?
True
Suppose 0 = -b + 5*z + 20, 4*b + 0*b = -5*z - 20. Let p = b + -1. Let q be (24/(-36))/(11/(-3)). Is q at least p?
True
Let t = 2 + 26. Is t greater than or equal to 26?
True
Suppose -11 = 7*n + 17. Let d = 6 - 4. Let f = -7 + d. Is f smaller than n?
True
Suppose 2*t = 5*t + 9, -2*t - 60 = 3*l. Is -18 > l?
False
Let t = -6 + 5. Let w be 1 + -91 + t - -1. Let f be (-132)/w + 2/(-3). Is 1 not equal to f?
True
Let a(u) = u**3 + u**2 + 5*u + 3. Let q(y) = y + 1. Let l(o) = a(o) - 4*q(o). Let p be l(1). Is p at most 3?
True
Let i = -15125/8 + 1887. Are -5 and i unequal?
True
Let o be (24/70)/(26/91). Which is bigger: o or 2?
2
Suppose -3*o - 18 = 3*l, 4*o + 3*l + 28 = 9. Let u be o + 3 - 28/15. Do u and 0 have different values?
True
Let l be -5 - 6*(-4)/8. Let y be l/3*(-3)/(-7). Which is bigger: y or -1?
y
Let s = 23 + -14. Let w = s - 5. Is w less than -0.2?
False
Let h = -8 - 0. Let x(d) = -d**3 - 8*d**2 - d - 8. Let v be x(h). Which is bigger: v or -2/11?
v
Let c = -21.2 + 21. Which is bigger: c or 3?
3
Let f(d) = -d**3 + 18*d**2 + 2*d - 23. Let v(c) = c**3 + 7*c**2 + 3*c. Let x be v(-6). Let i be f(x). Which is greater: i or 14?
14
Let f = 5 + 0.1. Let y = f + -5. Let q be -1*2*(-21)/(-6). Is q < y?
True
Let c be 111/2*(-24)/18. Is c > -74?
False
Let i = -0.09 - 0.91. Is i at least as big as 0?
False
Let g(v) be the first derivative of v**3/3 + 5*v**2/2 - 6*v - 5. Let y be g(-5). Is y less than -2?
True
Suppose s - 54 = -12. Suppose -3*t + 3*k - s = 2*t, -k - 26 = 5*t. Is t at least -4?
False
Let t(a) = -a**2 - 12*a - 13. Let i be t(-9). Suppose 0 = -5*v - m + 8, 2*v + 3*m = -m + i. Is 1/9 bigger than v?
False
Let l(a) be the first derivative of -6*a - 3/2*a**2 + 2*a**3 - 1/4*a**4 - 1. Let r be l(5). Is r greater than 4?
False
Suppose -5*n + 4 = -1. Let j be 0 + -13 + 2 + n. Which is smaller: j or -9?
j
Let v be 0 - (0 - 2/(-1)). Which is bigger: v or 4/3?
4/3
Let m be (-1)/1*-2 + -1. Let u be m/3 - 100/12. Is u < -13/2?
True
Let l = -2.3 + -12.7. Let f = l - -14.1. Let s = -1 - f. Which is smaller: 0.1 or s?
s
Let w(g) = g**3 - 5*g**2 + g + 5. Let j(r) = -r**2 - 6*r + 4. Let l be j(-6). Let z be w(l). Is z < -6?
True
Let k = 29 - 29. Let q = 1 - -2. Let h be 5/q + 1 + -2. Which is smaller: k or h?
k
Let i = -5.1 + 4.9. Which is smaller: i or 6/5?
i
Let h = -1/364 + 417/19292. Which is smaller: h or 0?
0
Let v = 0.184 + -0.084. Let k = -0.1 + 6.1. Is v | {
"pile_set_name": "DM Mathematics"
} |
s k*r(w) + 5*s(w)?
-w**2 - w
Let w = 1 + 5. Suppose 0 = -5*q + 5*n + 60, w*n = 5*q + 2*n - 60. Let k(f) = 10*f - 10. Let m(t) = 4*t - 4. What is q*m(h) - 5*k(h)?
-2*h + 2
Let x = 66 - 60. Let h(c) = -4*c - 7. Let r(n) = 9*n + 15. What is x*r(k) + 13*h(k)?
2*k - 1
Let d(y) = -y + 7. Let x(j) = -3*j + 20. Give -11*d(a) + 4*x(a).
-a + 3
Let z(t) = 13*t + 6. Let f(d) = -12*d - 5. What is 6*f(a) + 5*z(a)?
-7*a
Let a(t) = 4*t**2 - 5*t - 5. Let l(q) be the second derivative of q + q**3 + 3*q**2 - 5/12*q**4 + 0. What is 6*a(w) + 5*l(w)?
-w**2
Let q(y) = -5*y - 1. Let t(f) = 3*f + 1. Give -2*q(a) - 5*t(a).
-5*a - 3
Let n(p) = -4*p**2 + 8*p. Let a(m) = 8*m**2 - 15*m - 1. Let t(v) = -4*a(v) - 7*n(v). Let u(k) = -11*k**2 + 11*k + 11. Calculate -17*t(z) + 6*u(z).
2*z**2 - 2*z - 2
Let j(t) = 4*t - 1. Let z(o) = -3*o + 1. Determine 5*j(q) + 7*z(q).
-q + 2
Let x(h) = 14*h**3 + h**2 - 4*h. Let d(g) = -13*g**3 - g**2 + 3*g. Determine -6*d(k) - 5*x(k).
8*k**3 + k**2 + 2*k
Let z(w) = -17*w + 11. Let s(q) = 6*q - 4. Let h be 1/(-5) + 112/10. Determine h*s(b) + 4*z(b).
-2*b
Suppose 0 = 3*w + 3. Let y(t) = -3*t - 14. Let u(x) = x + 5. Suppose -3*l - 26 = 25. Let z(m) = l*u(m) - 6*y(m). Let d(a) = a + 2. What is w*d(k) - z(k)?
-2*k - 1
Let v(s) = -s**2 - 4*s + 5. Let b be v(-5). Let x(i) = 1 + 2 + b*i - 2*i. Let p(q) = 5*q - 7. Calculate -3*p(r) - 7*x(r).
-r
Let z(a) = -5*a**3 + 14*a**2 + 8*a + 11. Let n(w) = 2*w**3 - 5*w**2 - 3*w - 4. Give 11*n(u) + 4*z(u).
2*u**3 + u**2 - u
Let a(p) = 10*p**2 - 17*p + 23. Let y(o) = -3*o**2 + 6*o - 8. What is 6*a(g) + 17*y(g)?
9*g**2 + 2
Let c(t) = 5*t + 9. Let k be c(-3). Let n(l) = -1. Let o(g) = g + 3. Determine k*n(r) - o(r).
-r + 3
Let a(x) = 19*x**3 - 4*x**2 - 4*x - 4. Let r(k) = -360*k**3 + 75*k**2 + 75*k + 75. Determine -75*a(m) - 4*r(m).
15*m**3
Suppose g = 4*g + 3. Let h(b) = -b**2 + 3*b + 3. Let s(k) = 11*k - 16. Let m(t) = 7*t - 10. Let j(w) = 8*m(w) - 5*s(w). What is g*h(i) + j(i)?
i**2 - 2*i - 3
Suppose 5*m = 16 + 4. Let r be (m + -2)*15/(-6). Let y(q) be the second derivative of -q**2/2 - q. Let z(l) = -l + 7. Determine r*y(k) - z(k).
k - 2
Let t(s) = -7*s**2 - 6*s - 3. Let i(r) = -6*r**2 - 5*r - 4. Calculate -4*i(m) + 3*t(m).
3*m**2 + 2*m + 7
Let w(t) = -5*t**2 + 2*t - 1. Let k(o) be the second derivative of -7*o**4/6 + 5*o**3/6 - 3*o**2/2 + 3*o. Calculate -4*k(s) + 11*w(s).
s**2 + 2*s + 1
Let k(r) = 6*r - 2. Let a(n) = 1 - 1 + 2 + 2*n + 4. Let g(v) = -v - 2. Let x(l) = -6*a(l) - 17*g(l). What is 4*k(y) - 5*x(y)?
-y + 2
Let o = -2 + 0. Let y(z) = z**2 + z + 2. Let l be y(o). Let v(q) = -q**3 + 4*q**2 + 4*q. Let c(r) = 2*r - r**3 + 0*r**3 + 3*r**2 + r. What is l*v(j) - 5*c(j)?
j**3 + j**2 + j
Let y(l) = -8*l**3 + 4*l**2 + 4*l - 4. Let f(v) = -9*v**3 + 5*v**2 + 5*v - 5. Let b(n) = 5*n**3 + n**2 + n. Let w be b(-1). Calculate w*y(p) + 4*f(p).
4*p**3
Let n(y) = 7*y - 4. Let p(a) = a + 9. Let h(i) = 2*i - 4. Let b be h(0). Let x be p(b). Let d(c) = -10*c + 6. Determine x*d(u) + 7*n(u).
-u + 2
Let s(p) = -p + 1. Let w(l) = -l. Give s(b) - 5*w(b).
4*b + 1
Let o(m) = m**3 - 1. Let s(y) = -2*y**3 + 3. Suppose 5*w + 0*g + 3*g - 39 = 0, 9 = 3*g. Calculate w*o(h) + 2*s(h).
2*h**3
Let o = 6 - 0. Let u(i) = -2*i + 4*i - 3 - 5*i. Let j(f) = 2*f + 2. What is o*u(k) + 10*j(k)?
2*k + 2
Let x(t) be the third derivative of -t**6/60 - t**5/12 - 5*t**3/6 - 4*t**2. Suppose -6 - 19 = 5*v. Let s(l) = 2*l**3 + 6*l**2 + 6. Determine v*x(i) - 4*s(i).
2*i**3 + i**2 + 1
Let h(t) = t**3 + t**2 + 2*t + 2. Let x(v) = -v**3 - v**2 - 2*v - 2. Give -5*h(n) - 4*x(n).
-n**3 - n**2 - 2*n - 2
Let f be -3 + 2 - (-19 - 0). Suppose -n - 5*k + 2*k = -f, 3*k = n + 12. Let z(i) = i**2 + i + 2. Let j(r) = -r**2 - 2*r - 3. Calculate n*z(w) + 2*j(w).
w**2 - w
Let m(n) = n**2 + n + 1. Let u(g) = -10*g**2 - 5*g - 6. Give -5*m(j) - u(j).
5*j**2 + 1
Let s(w) = -w + 1. Let g(m) be the third derivative of 7*m**4/24 - m**3/2 + 11*m**2. What is g(i) + 3*s(i)?
4*i
Let i(u) = u. Let r be (-6*1)/(((-84)/8)/(-7)). Let s(b) = -3*b. Give r*s(v) - 10*i(v).
2*v
Suppose 0 = 20*b - 6*b + 14. Let j(z) = z + 0 + 0*z + z**2 - 1. Let v(p) = p**2 + 2*p - 2. Determine b*v(h) + 2*j(h).
h**2
Let i(s) = -8*s - 9. Let w(c) = -c - 1. Give 6*i(t) - 51*w(t).
3*t - 3
Let q(o) = -4*o - 18. Let x(a) = a + 1. Give -q(w) - 5*x(w).
-w + 13
Let i(n) = -3*n**2 + n + 5. Let c(m) = -m + 1. What is -3*c(f) + i(f)?
-3*f**2 + 4*f + 2
Let g(r) = -7*r**2 + 6*r - 7. Suppose -11*f - 37 + 103 = 0. Let i(n) = 8*n**2 - 7*n + 8. Determine f*i(b) + 7*g(b).
-b**2 - 1
Let l(a) = 2*a**2 - 2*a + 5. Let n = 12 - 7. Let f(s) = 3*s**2 + n*s**2 - 1 + 5 - 2*s - 6*s**2. Give 6*f(i) - 5*l(i).
2*i**2 - 2*i - 1
Let k(y) = -2*y**2 + 5*y + 5. Let d(a) = -3*a**2 + 5*a + 5. Let i(s) = -6*d(s) + 5*k(s). Let n(u) = -12*u**2 + 8*u + 8. What is 8*i(v) + 5*n(v)?
4*v**2
Let m(l) = -2*l + 14. Let x(t) = t - 13. Determine -2*m(g) - 3*x(g).
g + 11
Let h(r) = 2*r**3 - 22*r + 5. Let d(k) = k**3 - 7*k + 2. Let c(v) = 7*d(v) - 2*h(v). Let l(q) = -q**3 - 2 + 6*q - 3*q**3 - 3. Calculate -5*c(m) - 4*l(m).
m**3 + m
Let a(j) = -j**2 + 2. Suppose -5*w - 264 = -4*m, -3*m - 4*w + 198 = w. Let t(l) = -m + 63 + 0*l**2 + 2*l**2. What is 3*a(r) + 2*t(r)?
r**2
Let v(j) = 1. Let y(k) be the second derivative of -k**3/6 + 2*k**2 - 8*k. Give -12*v(s) + 3*y(s).
-3*s
Let n(g) = -4*g - 10. Let d(l) = -1. What is -8*d(a) + n(a)?
-4*a - 2
Let c(o) = -3*o**3 + 5*o. Let a(f) be the third derivative of f**6/8 - f**4 + 11*f**2. What is 5*a(z) + 24*c(z)?
3*z**3
Let a(y) = -y. Suppose 5*w - 17 = -4*h + 8*h, 43 = -5*h - w. Let s(m) be the third derivative of -1/8*m**4 + 0*m + 0 + 0*m**3 + m**2. Calculate h*a(j) + 3*s(j).
-j
Let f(j) = -2 - 4*j - 13*j**2 + 6 - 14*j**2 + 28*j**2. Let m(y) = -y + 1. Suppose 23 + 13 = -4*v. Let c = v + 15. What is c*m(o) - f(o)?
-o**2 - 2*o + 2
Let i(w) = 5*w**3 - 2*w**2 - 2. Suppose 0 = 10*r - 2*r - 16. Let x(f) be the first derivative of 3*f**4/2 - f**3 - 3*f - 1. Give r*x(z) - 3*i(z).
-3*z**3
Let k(m) = -6*m + 5. Let o(d) = -1. Let j(h) = 7*h - 1. Let s(w) = j(w) + 5*o(w). Determine 4*k(b) + 3*s(b).
-3*b + 2
Let g(y) = y**3 - y**2 - y - 1. Let h = 0 + 4. Suppose -9 = 3*p + h*f, 0 = 5*p + 6*f - f + 10. Let z(q) = 2*q**3 - q**2 - 2. Calculate p*g(s) - z(s).
-s**3 - s + 1
Let m(n) = 9*n - 1. Let x(o) = 26*o - 3. Give -7*m(s) + 2*x(s).
-11*s + 1
Let a(q) = -q**3 - 12*q**2 + 2*q - 1. Let f(d) = 4*d**3 + 35*d**2 - 7*d + 4. What is 7*a(n) + 2*f(n)?
n**3 - 14*n**2 + 1
Let v(d) = -2*d - 1. Let t(r) = 0 + 1 - r + 3*r. Suppose 2*x - 2*o = -18, 5*x + 39 = -0*x + 3*o. Let p be 1*-1*(43 - 38). Calculate p*t(q) + x*v(q).
2*q + 1
Let u(o) = 9*o**2 - 4*o - 2. Let w(p) = 8*p**2 - 3*p - 2. Give -5*u(c) + 6*w(c).
3*c**2 + 2*c - 2
Let k be -1 + 9/7 + (-546)/(-147). Let w(y) = 6*y**3 + 3*y**2 + 4*y. Let p(m) = -7*m**3 - 4*m**2 - 5*m. Give k*p(c) + 5*w(c).
2*c**3 - c**2
Let k(a) = -2*a**2 + 3*a + 4. Let h(b) = -6*b**2 + 9*b + 12. Determine 6*h(u) - 17*k(u).
-2*u**2 + 3*u + 4
Let t(i) = i - 1. Suppose k + 9 - 6 = 0. Let c(r) = 2*r**2 - 5*r + 2. Calculate k*t(x) - c(x).
-2*x**2 + 2*x + 1
Let u = -9 + 32. Let q(k) = 4*k + u*k**2 - 22*k**2 - 4 - 2*k. Let v(d) = -d**3 - d + 1. Give -q(z) - 2*v(z).
2*z**3 - z**2 + 2
Let k(x) = x**2 + x - 1. Let v(a) = 14*a**2 + 12*a - 12. Let h be 1/(-1 + -2 + 4). What is h*v(p) - 12*k(p)?
2*p**2
Suppose -3*s - 18 + 6 = 0. Let j(g) = -4*g. Let t(x) = 4*x. Determine s*j(k) - 5*t(k).
-4*k
Let l(b) = -4*b - 31. Let j(o) = -o. Determine 5*j(s) - l(s).
-s + 31
Let u(r) = 3*r**3 + 8*r**2 - 8*r + 8. Let q(v) = -2*v**3 - 5*v**2 + 5*v - 5. Give -8*q(i) - 5*u(i).
i**3
Let g(m) = -3*m + 5. Let l(h) = -4*h + 6. Let w(u) = -2 + 0*u**3 + 5*u + u**3 - 3 + 7*u**2. Let s be w(-6). Let r be (-2 - -9 - 2) + s. Give r*g(p) - 5*l(p).
2*p
Let j(y) = 3*y**2 + y + 3. Let r(z) = -z - 1. Let h(p) = p**3 - 4*p**2 - 7*p + 7. Let s be h(5). Determine s*r(b) - j(b).
-3*b**2 + 2*b
Let k(l) = -2. Let g(a) = a + 8. What is -2*g(u) - 6*k(u)?
-2*u - 4
Let a(i) = -i**2 - i. Let n(z) = 16*z**3 - 6*z**2 - 6*z. Determine 6*a(o) - n(o).
-16*o**3
Let m(z) = -z**2 - 6*z + 7. Let k(g) = 20*g + 14. Let a(i) = -7*i - 5. Let p(v) = 17*a(v) + 6*k(v). What is m(h) + 6*p(h)?
-h**2 + 1
Let x(p) = 2 + 4*p + p**3 - 4 + 0. Let y(k) = -k**3 - k + 1. Suppose -5*n + 13 = 8. Determine n | {
"pile_set_name": "DM Mathematics"
} |
132)?
-127
Evaluate (-2)/10 + (28/35 - (12008/(-920))/(-19)).
-2/23
What is 1*1/43*-1*(6 - 16 - -11)?
-1/43
What is the value of 5 + (-1128)/558 + (60/(-21) - 24/168)?
-2/93
Evaluate (-149)/(43806/84) + -6*(-212)/42.
30
8 + 153/54 + (-385)/210
9
Evaluate ((-532)/(-2128) - (1 + (-110)/4))*4.
107
What is ((3/621)/((-156)/(-2106)))/(33/12 - 2)?
2/23
((261 - -4)/(12/(-4)))/(115/552*-8)
53
(-2)/7 + (-3036)/(-385) - (-102 - (150 - 260))
-2/5
What is 21 + 11040/(-525) + 199166/4235?
47
What is 2 + 10/(-35) - ((-2)/28)/((-896)/(-680960))?
56
What is the value of ((-24)/(-132) - (-8130)/660)*20/175?
10/7
Calculate (-11840 - -11825) + ((-1524)/(-116) - -2).
4/29
Calculate (10191/387 - 23)*(-1 + 13/(-5)).
-12
What is the value of -30 + 490/(-175)*(-600)/63?
-10/3
Evaluate 182/(-221) + 23595/27846.
1/42
What is the value of 3/((-117)/45 + (-21)/(7140/(-3434)))?
2/5
What is ((-52)/(-12))/((-20)/35*14*9/(-108))?
13/2
(6 - 795/120) + (-6176)/(-1280)
21/5
What is the value of (9 + -2)*1 + (2968 - -10)*1/(-426)?
2/213
Calculate (-2)/(-109) + (-1743456)/(-41529).
42
What is the value of (-820)/(-29110) + 104/1349?
2/19
What is the value of (705/470)/(((-108)/(-880))/9)?
110
Evaluate 6580/(-19656) + 222/5772.
-8/27
928757/129594 - (-202)/(-60)
19/5
4277/(-455)*-3 + (-6)/5
27
Calculate (3/9)/((-82)/(-60 + -3466)).
43/3
Calculate (-294)/539*-11 + 27.
33
Evaluate ((-760)/(-570))/((-19)/(627/286)).
-2/13
Calculate 2585/66 - 25/(-10) - 24/36.
41
Calculate (-27)/(-81)*((-931)/98)/((-2)/(-4)).
-19/3
Calculate 171 + -151 - (-5)/(-10)*-36.
38
What is ((-19)/(-2))/((-32864)/12064) + (-1)/((-2)/7)?
1/79
Calculate (5978/245 + -25)/((-1278)/60).
2/71
Evaluate (-522)/116*(1 - (-2)/(-12))*(-148)/2109.
5/19
What is 11958/342 - (-2 - -9) - 28?
-2/57
What is 102*(-2926)/(-5412) - 55?
6/41
Calculate -5 - (-342)/95 - 77/(-35).
4/5
What is ((-2)/6 - (-1769)/183)/(2/6*12)?
7/3
What is the value of ((-180)/140*-2*(-3)/9)/(99/924)?
-8
Calculate (-70)/(-2)*((-268)/(-16) - ((-140)/10 + 31)).
-35/4
Evaluate (18/(-7))/(-6)*(-77154)/(-4546575).
2/275
What is ((46/(-84) - 380/(-532))*-14)/(66/(-54))?
21/11
What is the value of 4*1805/(-684) - (-15 - (27/(-3) + 4))?
-5/9
Evaluate (-73)/(-146)*((-26)/5)/(1/45).
-117
Calculate (-8 - 102/(-12))*(824/(-1064) - (-5)/35).
-6/19
(37 + (-545)/15)*(-7)/91
-2/39
Evaluate -4 + (200/(-112) + 2)/((-3)/(-44)).
-6/7
(22 + (-1027)/39)/(51/27 + -2)
39
What is the value of -1 + ((-80)/8 - (1996/(-88) - -12))?
-7/22
Evaluate (8 - (-792)/(-108))/(4*(-7)/(-504)).
12
What is the value of (2/(-13) + (-7248)/(-2496))/(10 - (-355)/(-40))?
22/9
Evaluate 22*3 - (-27 - -28 - 112/8 - -17).
62
What is the value of (-236 - -117)*(-42)/(-102)?
-49
(-12000)/384*8/(-7) - ((-30)/(-21))/(-5)
36
Calculate -39 + 10339/147 - ((-20)/(-15) + -2).
32
Evaluate 225/(-125) + 4032/(-60).
-69
Evaluate 434900/134850*-31 + 100.
2/87
Evaluate (4/7 + (-24)/2688*-16)*(19 - 20).
-5/7
Evaluate (63/39)/((-8153)/(-105989)).
21
Evaluate -53 - 8754/(-168) - (1*-2 + 25/20).
-1/7
Evaluate (-117453)/7038 + 19 + 181/(-75) + 18/225.
-1/46
Calculate (-6)/(-24)*-2 + (-923)/(-142) + (34 - -1).
41
What is the value of 5391/(-7188) - (-50)/72?
-1/18
What is the value of 0 + 16/4*(2175/570)/(-29)?
-10/19
What is the value of (37 + 1875/(-50))/(77/(-120) - (-2)/3)?
-20
What is the value of (-594)/(-24 + -30) - 210/19?
-1/19
What is the value of 192/(-1176)*((-10915)/(-444) + -24)?
-2/21
Calculate ((-608)/(-112))/(45/42*17/(1020/48)).
19/3
Evaluate (-14)/2 + (4 - -2) - 31/(-1).
30
What is (-148)/(-144) - (15/1 - (6 + (19 - 11)))?
1/36
What is the value of ((-114)/24 - (-21)/28)*(-181 + 182)?
-4
What is (-106)/11 + (56620/(-1045))/149?
-10
What is (-25)/(-465)*(-1149)/1915?
-1/31
What is (-24*(-32)/256 - ((-11)/(-2) - 2))*6?
-3
What is the value of 25/3*(856/(-8988) - 1/(105/(-766)))?
60
(-8433)/(-153) + ((-69760)/1088 - -64)
55
What is the value of ((-7540)/(-195))/((-6)/(-63)*21/(-6))?
-116
Calculate (-15188)/280978 + (200/2331)/1.
2/63
Calculate -20 - (-4 + 1880/(-47)).
24
What is the value of (358 - 364)/((156/(-40) + 4)*6)?
-10
Calculate (-45*52/(-390) - (-198)/(-30))/(-30).
1/50
Evaluate 2004/201 - ((-2730)/(-91) + -20).
-2/67
(-7928)/(-67388) - (-285)/612
7/12
Evaluate (-147)/7 + 23 + ((-3600)/459)/4.
2/51
Calculate (46 - (-41412)/(-901) - (-192)/(-13515))*-15.
-6/17
Evaluate 2952/(-2460) + 809/(-180) + 12/27.
-21/4
What is (-4)/(-16*(-12 - (-1221)/99))?
3/4
What is the value of (1531 + -1439)*(6/(-16))/(9/(-12))?
46
Calculate ((-31)/(-403))/(936/(-676)).
-1/18
What is (-1 - 3)*(7 - (13/3 + 3))?
4/3
What is (22/((-4928)/288))/(15/(-455))?
39
Evaluate (481/39)/((-3025)/75 + 40).
-37
Calculate 1*(8/10 + (1176/(-120))/(2/2)).
-9
((-39)/(-28))/(-18*(-18)/(-720) + 6/5)
13/7
Calculate (-5 + 5466/(-18))/(-28) + (-4 - 14/2).
1/42
What is the value of 32598/467238 + (-9626)/(-86)?
112
88*(-4)/(-132) - (2 - 173/(-3))
-57
Calculate (54/6669)/((-12663)/(-351) + -36).
2/19
What is 12 - (14340/800 + -23) - (16 - -1)?
3/40
Evaluate (-21040)/4734 - 22910/(-5175).
-2/115
Evaluate (663/51 + -15)*10.
-20
Evaluate (-232)/(-435)*(-15)/18*(-1 - 8) + -35.
-31
Evaluate 3 + 35*(5 + -6).
-32
What is the value of (3447/2298)/(3/(-40)) + -28?
-48
What is the value of (1 + 1)*(-62006)/(-4532) - 28?
-7/11
What is the value of ((-2)/((-4)/(-6)))/(25650/(-135) - (-25)/10)?
2/125
Evaluate (-10)/80*-106*212/(-212).
-53/4
What is (-28)/6*276/(-805) + -4?
-12/5
What is (28 - (-9982)/(-168)) + 31?
-5/12
2246595/(-9360) - -241 - (-1)/48
1
Evaluate ((-8)/(-256) - 1065/288)*-3.
11
Calculate ((-9471)/10824)/((-1155)/45).
3/88
24 + 416*(-145)/2030
-40/7
42 + (1628/(-296))/(7/(-4)*(-6)/(-21))
53
What is (-2)/(-8) + ((-2548)/(-2128) - (-21)/(-14))?
-1/19
What is (-2932430)/346350 - (-5)/6*2?
-34/5
Evaluate (18844/161520*((-222)/(-21) - -1))/((-3)/5).
-9/4
14 + ((-83)/3)/((-10)/(20*(-6)/24))
1/6
Evaluate (30 + -8 + -19)*(-2)/75*195/(-52).
3/10
Evaluate (-14 + 12 - (-9)/5)*(-3)/6.
1/10
What is the value of (-14180)/709 - 612/(-32)?
-7/8
Evaluate -1*2*903/23478 - 372/234.
-5/3
What is the value of (-9 - (-4)/(-12))*(18 + 43884/(-2436))?
4/29
((-228)/2*(-1)/(-5))/((-58320)/(-145800))
-57
Calculate ((3213/(-78))/7 + (2210/68 - 28))*-13.
18
Evaluate ((-116)/105 + 1162/(-12201))*-80.
96
(-94 + 50)/(-44) + 31/(31527/(-1026))
-1/113
Evaluate 40/((-23120)/102)*(-26)/26.
3/17
(3 - 35) + 4/(-6)*(-810)/(-60)
-41
Calculate (-7880)/(-985) - (-98 + -3).
109
What is 26/80 + -3 + (-354)/(-105) + 2048/(-3584)?
1/8
What is 708/(-4602) + (6/2 - (-142)/78)?
14/3
Evaluate 13/8 - 7*(-5778)/(-24624).
-1/57
Evaluate 1400/77600*48/(-42).
-2/97
What is (6 - -12)/(11448/1484)?
7/3
(-1081)/47 - 1819/(-85)*5
84
What is the value of (1 - (5 + -1)) + 91/(-273)?
-10/3
What is the value of 366/10 - ((-2288)/65)/88?
37
Evaluate (146/(-584))/((2 + -4)*(-1)/(-280)).
35
(8/(-4))/4*(28 - 16) + 246/42
-1/7
Evaluate (-5 - 566/30) + (114/(-399))/(45/21).
-24
Evaluate -6 + (2 - 5) + (46 - 49) + (-657)/(-27).
37/3
Evaluate 4/238*(-21641)/(-53466).
1/147
Calculate (9/(-35))/(2958/(-85) - -33).
1/7
Calculate (-2760)/(-348) + -8 + (-21)/(-3) + 25504/(-232).
-103
Calculate 46/186 - (8214/21904)/(25/(-8) - -2).
18/31
Calculate (87/(16443/14))/(18/(-324)).
-4/3
What is ((-2)/(-22))/((-1806)/(-735042))?
37
(-20)/29400*20*(5 + -8)
2/49
(-4)/14*(-336)/(-1296) + (7 - 4654/351)
-19/3
-9 - ((6 - -3) + 25 + 31 + -71)
-3
What is 68/54740*20965 - 26?
1/23
(-4)/(-15)*4641/14 - 1920/4800
88
Evaluate ((28850/550 + -53)/((-66)/(-4)))/(1 - -1).
-2/121
What is the value of ((24/(-160))/((-792)/(-1540)))/((-3)/18)?
7/4
Evaluate (-3218)/(-140) + 5892/412440.
23
What is (12367/(-249) - -50)*(-8)/12*16?
-32/9
Calculate ((-1142)/3426 + (-2)/(-60))/3.
-1/10
What is the value of (-4*10/(-4) - (-161195)/(-1565)) + (-26)/(-2)?
-80
Evaluate 23 - ((-8)/96 - (-1465)/12).
-99
What is the value of (-29564)/(-2971182) - 11674/1608?
-29/4
Evaluate -19 - ((12 - -6) + -31) - 21.
-27
Calculate (-198)/(-23100)*25 - 4772/56.
-85
Calculate ((-45)/(-243))/((-5775)/495).
-1/63
-43 + -34 + 87 + -12
-2
(-33 - -641)/(-38) + (-1 - -18) + 81
82
What is (149 - 87) + (75 - 80) + 2/2*1?
58
3801/77 - 18424/376
4/11
Evaluate 9*(580/(-696) - (805/(-90) - -8)).
1
102 + (11799 - -161)/(-65)
-82
What is ((-1)/3)/(22589/(-3234) + 35 - 28)?
-22
Eva | {
"pile_set_name": "DM Mathematics"
} |
- 2*f = -12. Suppose g - 3*l + 3 = 0, 11*g = 9*g + 2*l + 6. Is g less than or equal to p?
True
Let b = 849.12 - 12.12. Let i = -800.3 + b. Let v = -37 + i. Which is greater: -5 or v?
v
Let n = 26.72 + -26.9. Is -0.23 at least n?
False
Let x be (-3 - (-2 - -2))*-1. Let z be (-370)/(-380) - (x - (-12)/(-8)). Is -1 greater than z?
False
Let x be (-2)/(6 + 4048/(-676)). Let p = x - -169. Is p at least as big as -1/245?
True
Let o = 1263 - 1264. Which is bigger: -29/48 or o?
-29/48
Let v = 1003836/68468701 - 2/100247. Is -1 > v?
False
Suppose -2*a - 16 = -4*f, 0 = -69*a + 70*a - f + 15. Is -89 greater than or equal to a?
False
Let d = 1.37 - 95.37. Let l = -90.1 - d. Let y = l - 0.7. Is y at least -0.1?
True
Let d = 28 - 24. Suppose -d = g + 5. Suppose 0*r - 8 = r. Is g smaller than r?
True
Let q = -958/3 + 319. Is -9.74 != q?
True
Let y be (1 - 88)*1/3. Let r = -1529 - -1502. Is r bigger than y?
True
Suppose -2*n = -n + 27. Let g(d) = -44*d + 40. Let b be g(6). Let u be (b/n)/4 - 2. Is u < 1/5?
True
Let k(o) = -o**3 + 13*o**2 - 16*o + 2. Let v be k(11). Let u be (-1587)/(-23) + (7 - 7). Which is smaller: v or u?
v
Let x(u) = -3*u**3 - u**2 - u - 1. Let n be x(-1). Suppose -n*w - 21 = -57. Which is greater: w or 35/2?
w
Suppose -59 = -4*x - 5*p, -7*x = -6*x - 4*p - 20. Let f be (-20)/(-12)*x/(-10). Which is bigger: f or -3?
f
Let a be 12 - (-15672)/9156*-7. Which is greater: a or 0.3?
0.3
Let a(o) = -2*o**3 + 167*o**2 + 266*o + 85. Let g be a(85). Is g smaller than -1?
False
Let w be (-78 - -80)*12/206. Which is smaller: w or -1?
-1
Let l = 13477 + -13476.9. Which is smaller: -7286/9 or l?
-7286/9
Let m(j) = 3*j**3 + 67*j**2 - 29*j + 37. Let q be m(-23). Let g be (3 - q/(-114))/((-4)/(-70)). Which is greater: g or -1?
-1
Let r = -3/410645 - 4742128397/8623545. Let h = -550 - r. Which is smaller: -2/27 or h?
h
Let l(f) = -2*f**2 - 11*f - 13. Let c be l(-4). Which is greater: 1285 or c?
1285
Let n = 102/5 + -704/35. Let w = 19862.9536 + -19863. Which is smaller: w or n?
w
Suppose -33*d - 57163 + 117850 = 0. Which is smaller: 1836 or d?
1836
Let o = -45 + 53. Suppose -3*k - 10 = -a + 6*a, -o = 4*a - 3*k. Suppose f - 2*f + 5*i = -13, -3*f + 2*i = 0. Are f and a nonequal?
False
Let j be ((-387)/63 + 5)*(-3 + 2692/(-8)). Which is smaller: 374 or j?
374
Let l = 5498 - 5532. Let w be ((-24)/(-28))/((-6)/(-56)). Which is bigger: l or w?
w
Let k be 130 - (5 - 8) - 2/1. Let u be ((-4)/6)/((-40)/7860). Is u >= k?
True
Let h = -650 + 783. Let v be 16/(-10)*((-588)/8 - 9). Which is bigger: v or h?
h
Let v = -174.35 + 227.35. Is -1/15 < v?
True
Let y(d) = 16*d**2 + 4*d - 9. Let n be y(-4). Which is smaller: n or -1?
-1
Let n(b) = 45*b - 121. Let u be n(5). Which is smaller: u or 106?
u
Let o = 15129/284 + -3147179/11644. Let z = 217 + o. Which is greater: z or 1?
1
Let t(o) = 6*o - 7. Let n be t(0). Let j = n + 4. Let x be j*(-80)/(-45)*-3. Which is smaller: 13 or x?
13
Let h be (6/4)/((-12)/(-16)). Suppose 0 = h*u + 6*u - 320. Suppose u = -13*b + 21*b. Which is smaller: 3 or b?
3
Suppose n - a = -6, n + 4*a - 3 = 16. Suppose -2*k + 5*z = 3*z - 22, 31 = k - 5*z. Suppose -k*m = 6*m - 96. Which is greater: m or n?
m
Let i(y) = y**3 + 3*y**2 - 6*y - 8. Suppose 0*h = -h + 16. Suppose -5*k = -4*x + h + 4, -2*k + 5*x = 8. Let a be i(k). Are 0 and a equal?
True
Let t(f) be the second derivative of f**4/12 - f**3/3 - 5*f**2/2 + 6*f. Let c be t(3). Let g be c/10 - (-182)/1085. Is 0 at least as big as g?
True
Suppose -34*y - 3*y + 320 = -17*y. Which is smaller: 83 or y?
y
Let x(s) = -s**2 + 22*s - 34. Let b be x(20). Suppose -2 = b*a + 16. Let p be (-51)/(-21) - (-4 - a - -2). Which is smaller: -2/5 or p?
-2/5
Let h(s) = -s**2 - 101*s - 649. Let x be h(-92). Is 40 < x?
True
Let t be (-1)/((111 - 117) + ((-57175)/(-6))/5). Which is greater: 0 or t?
0
Let i(x) = -599*x - 2396. Let n be i(-4). Is -6/1817 at least as big as n?
False
Suppose 5*n + 12*o = 13*o + 72, -2*n - 3*o = -5. Is n bigger than 166?
False
Let w(h) = 5*h**2 + 9*h - 56. Let b(d) = 14*d**2 + 29*d - 169. Let y(v) = 4*b(v) - 11*w(v). Let k be y(-20). Do k and -6/29 have the same value?
False
Let b(a) be the third derivative of a**5/40 + a**4/4 - 13*a**3/3 + 26*a**2. Let p(q) be the first derivative of b(q). Let c be p(-2). Is -3/14 < c?
True
Let o = 587 + -611. Let c be (-18)/o - (-222)/120. Is c greater than 2?
True
Suppose 0 = 365*c - 3 - 5 + 8. Let z(v) = 2*v**2 + 2*v - 4. Let n be z(3). Let s be (3/2)/((-21)/n). Which is bigger: c or s?
c
Suppose 2*v + 4 = -0*q + 5*q, -v + 4*q - 2 = 0. Let s(c) be the second derivative of -3*c**3/2 - 17*c**2/2 + c - 10. Let p be s(v). Is p greater than 4?
False
Let h = -43515 + 43513. Let p = 1.94 + 0.06. Let g = -2 - p. Is g > h?
False
Let p be (7005/9)/(-5) + 5*-1. Let f = 161 + p. Is f bigger than 7/11?
False
Suppose -4*o + 4*k - 12 = 0, -3*o + 6*o = -3*k + 21. Let u = o - -34. Suppose 2156 = 92*w - 1235 + 171. Which is smaller: u or w?
w
Let w = 60 - 19. Suppose -4 = -l + 49. Let m = w - l. Which is bigger: m or -35/3?
-35/3
Let t(w) be the second derivative of -2*w**3/3 + 31*w**2 - 8*w - 5. Let x be t(9). Which is smaller: 0.6 or x?
0.6
Let k = -0.0473 - 359.9527. Let q = 497 + k. Is q at least as big as -2/5?
True
Let t be (24/90)/(4/(-6)). Let a be -9 + 42/7*(-40)/(-24). Which is smaller: a or t?
t
Let x = -713 - -712.6. Is x greater than or equal to -1073?
True
Let f = -130 + 143. Is -144 > f?
False
Let b(x) = -4*x**2 - 36*x - 79. Let q be b(-5). Let c = -2/361 - -381/3610. Which is bigger: q or c?
q
Let s = -2/11 + -8/77. Let n = -58 + 39. Let l = -21 - n. Which is smaller: l or s?
l
Let t = -7571 + 53077/7. Suppose 12 = 2*i + 2*i. Suppose 16 - 46 = -i*v. Which is bigger: t or v?
t
Suppose 6323 = -4*k - g, 953 = -k + 7*g - 577. Which is bigger: k or -1582?
k
Let c(o) = -o**2 + 3*o + 5. Let p be c(4). Let h be 303/102 - (2/15 + (-559)/(-195)). Is p less than or equal to h?
False
Let y = 3/22 + 5/286. Let h = 23.66 + 0.34. Is y at least as big as h?
False
Let o be (-1341)/(-8) - -2*9/48. Suppose -o = -20*d - 8. Do 20/3 and d have the same value?
False
Let x(j) = -j**3 - 16*j**2 - 17*j - 31. Let a be x(-15). Let o be ((-11)/9 - a) + (-36456)/14553. Which is smaller: o or -3?
-3
Let y(p) = -10*p**2 - 36*p - 28. Let v be y(17). Is -3530 less than v?
False
Let i = -647.5133 - 0.3867. Let a = i + 648. Is 203/3 less than or equal to a?
False
Let q be 22/33 - (0 - (-8)/21). Let h = -1259 + 1295. Is h not equal to q?
True
Let n = -123 - -125. Let t be (7/1)/((-4 + n)/2). Let y(m) = -2*m**2 - 15*m + 2. Let a be y(t). Is a at least 14?
False
Suppose 203*m + 1536 = 200*m - 2118. Which is smaller: m or -1219?
-1219
Let s = 237.8 + -229.8. Let i be 2 + (3 - (-62)/(-14)). Is i greater than s?
False
Let v be ((-2)/(-4))/(98/1344). Let r(k) = k**3 - 4*k**2 - 3*k - 4. Let y be r(5). Which is greater: v or y?
v
Let p be (-3 + 1935/2)/(-18). Let w = 209/4 + p. Let l = 15/4 + -4. Are w and l nonequal?
True
Let n be 20*((-68)/(-425))/(((-12)/15)/4). Which is smaller: 10 or n?
n
Let t be 39/(-3)*1 - 1. Let n = -20 + -156. Let o = 160 + n. Which is greater: t or o?
t
Let d = 9981.865 + -9982. Which is smaller: d or 1/3?
d
Let k(v) = v**3 - 2*v**2. Let t be k(1). Let u be (-3 - t)/(2/36). Let i be 34/(-12) + 3/u*2. Which is smaller: -2/19 or i?
i
Let n = -53.289 + -252.711. Let a(b) = -b**3 + 5*b**2 + 6*b + 1. Let v be a(6). Is v != n?
True
Let h(v) = 2*v**2 - 3*v - 16. Let k be h(4). Suppose k*n - 19 = 5*d, -n + 6*n - 4*d = 17. Let q = -71497/420 - -681/4. Is n at least as big as q?
True
Suppose -28 = -2*j + 3*n, -4*j + 2*j + 20 = n. Let o(r) = -5*r + 12. Let f be (-3 + 50/15)*0. Let b be o(f). Is b > j?
True
Suppose 4*b - k = 17, b + b + 2*k - 6 = 0. Let l be 6/b*(-7)/(-2). Which is smaller: l or 4?
4
Let i = -2.262 + 2.46. Let d = i + -2.198. Which is greater: -1 or d?
-1
Let l(z) = 13*z**2 - 2*z + 8. Let a be l(2). Let j be 16/a - 86/7. Let f be (-13)/18 - j/24. Is f bigger than 1?
False
Let h(a) = a**3 - 18*a**2 + 2*a + 28. Let r be h(18). Let i be ((-3)/(-28))/(2424/r). Which is greater: -1 or i?
i
Suppose -p + 4*p + 736 = -20*p. Which is greater: p or 0.39?
0.39
Let n be 2/4 + 893/38. Suppose 3*y + o + 0*o = 16, n = y + 5*o. Suppose -y*k = -6*k. Is k <= -2?
False
Let m = -255 - - | {
"pile_set_name": "DM Mathematics"
} |
nd 0.21.
-282.303
2 * 12.9
25.8
Product of 6243 and 26.
162318
52973*-0.1
-5297.3
-2*-2.2698
4.5396
Product of -3 and -0.96782.
2.90346
0.4 * 0.8139
0.32556
Calculate 161*21380.
3442180
1.76*0.19
0.3344
Product of -7.66 and -0.0019.
0.014554
856*55
47080
Work out -31147 * 0.1.
-3114.7
Product of -73.7 and 79.
-5822.3
3*-85989
-257967
-241559*-0.1
24155.9
Work out -489 * -80.
39120
0*485272
0
Calculate -1.2*5170.
-6204
-59512*-0.056
3332.672
Product of -1 and -110121.
110121
-2534 * -8.1
20525.4
Work out -0.4378051 * 0.3.
-0.13134153
Product of -132 and -0.157.
20.724
Multiply 0 and -322383.
0
What is 0.2 times 0.19793?
0.039586
Product of -0.027 and -4441.
119.907
What is -9.8 times -8.56?
83.888
349*37.9
13227.1
What is the product of 0.4 and 0.377?
0.1508
Product of 0.4 and 1.33603.
0.534412
Work out -0.2 * 21.0936.
-4.21872
What is the product of -233995 and 1?
-233995
Multiply 0.497 and 41.
20.377
0.1*-3684
-368.4
Calculate 3224*-0.28.
-902.72
3540.83 times -0.9
-3186.747
Work out 0.122 * 4.681.
0.571082
-0.19 * 220818
-41955.42
Multiply -4 and -293.79.
1175.16
3296 times 949
3127904
-73*33.5
-2445.5
Product of 2367 and -0.02.
-47.34
Multiply -3 and 102569.
-307707
What is 1 times -85.45?
-85.45
-1.00512*-4
4.02048
Work out -237884 * 0.1.
-23788.4
Calculate 18*10613.
191034
Multiply -1818 and 0.3.
-545.4
-364197 * 0
0
Product of 1.0875 and -4.
-4.35
-0.08 * -7535
602.8
What is the product of 2.17729 and 0.5?
1.088645
Work out -0.36505 * -9.
3.28545
Calculate -1.483*29.
-43.007
What is the product of -0.21 and 5.224?
-1.09704
Calculate 18*1.40668.
25.32024
What is the product of 140037.6 and -2?
-280075.2
10377 times 0.107
1110.339
What is the product of 7628 and -10?
-76280
-14188.61 * -0.3
4256.583
-27174 times 2
-54348
What is the product of 0.5 and 0.03263?
0.016315
Calculate -4*-59.468.
237.872
Work out 0.06987 * -0.11.
-0.0076857
What is the product of -0.3 and -57427?
17228.1
Work out -3878 * 2.
-7756
Product of -2 and 590.548.
-1181.096
Calculate -0.2*-45.95.
9.19
Product of 0.5 and 3953.7.
1976.85
What is 1998 times -228?
-455544
What is the product of 12.48 and -116?
-1447.68
0.5 times -0.004784
-0.002392
Product of 0 and -33582.
0
What is -15 times 10516?
-157740
Work out 1381 * -0.98.
-1353.38
What is the product of 1 and 0.002105?
0.002105
Multiply 4 and 547.
2188
Product of -150 and -1121.
168150
What is 4 times 29.717?
118.868
-1*0.038755
-0.038755
Product of -835156 and -2.
1670312
Calculate -0.285*-2440.
695.4
Multiply 72 and 4483.
322776
Product of -967 and -23.
22241
0.01 * 2608
26.08
0*-23060
0
Calculate -0.5*154456.
-77228
Multiply -0.01314 and -2.
0.02628
1 * -31865
-31865
0.1 times 2.0521
0.20521
Calculate -35*9718.
-340130
0.022728 times -0.13
-0.00295464
What is -47 times -0.13616?
6.39952
0.09 * 12299
1106.91
2*-5989
-11978
Work out -0.1 * -18967.
1896.7
Multiply -2512 and 0.9.
-2260.8
What is the product of 0.1 and 12197?
1219.7
Work out -19.94 * 19.
-378.86
What is the product of 0.5 and 9036.8?
4518.4
Multiply -7 and -0.0199.
0.1393
0.1065*0.0134
0.0014271
268 * 1451
388868
2506*10
25060
Product of 0.138 and 0.32.
0.04416
Work out 0.9 * 298887.
268998.3
Calculate -91.692*1.3.
-119.1996
Work out 24 * -1827.
-43848
Multiply 8347.8 and -0.2.
-1669.56
What is 0.0693 times 0.15?
0.010395
What is the product of -0.2 and -13.264?
2.6528
3 * -9.7143
-29.1429
-226 * 0.14
-31.64
Work out -662726 * 1.
-662726
Calculate 40*-174.
-6960
Product of 0.2 and 16062.
3212.4
Multiply 7041 and -26.
-183066
Calculate -2*-97.192.
194.384
-0.25866*0.4
-0.103464
Work out 0.08646 * -2.4.
-0.207504
Multiply 26216 and 0.2.
5243.2
35500 * 0.01
355
394430 times 5
1972150
2626 times -30
-78780
Multiply -5198 and -97.
504206
-0.294*-178
52.332
-51888 times 0.6
-31132.8
Work out 3.013 * 49.3.
148.5409
What is 203 times 1.684?
341.852
0.4*-852.444
-340.9776
What is 0.4 times 62342?
24936.8
0.0873 times 1.38
0.120474
0.999 * 0.05
0.04995
Work out 0 * -1201.
0
Multiply 99.8 and 1.5.
149.7
Work out -0.086 * 2.995.
-0.25757
148 times -5.322
-787.656
Calculate -9701.6*-5.
48508
0.09433 times -245
-23.11085
Work out -1 * 36.61.
-36.61
Work out -0.3 * -0.06251.
0.018753
Calculate -0.6*-78950.
47370
Calculate 0.4*17.551.
7.0204
What is -2847 times -1.19?
3387.93
-0.5 times 1094.048
-547.024
Work out 0.1 * 1.4977.
0.14977
Product of -2172 and 5.
-10860
Work out -62.436 * 1.6.
-99.8976
Work out -13.995 * -82.
1147.59
Calculate -0.017266*3.
-0.051798
95095 * 0.49
46596.55
144 * -2255
-324720
0.08*2.11
0.1688
-408.77*-1
408.77
Product of -2712.2 and 0.04.
-108.488
Work out 12282 * -0.4.
-4912.8
Multiply -219 and 7.62.
-1668.78
Multiply 131.7 and -25.
-3292.5
-3 * -16810
50430
-1.846*0.1
-0.1846
Product of 8 and -0.04829.
-0.38632
Multiply -158 and -4.623.
730.434
Multiply 1.48 and -335.
-495.8
-39913*0.4
-15965.2
-43.27*0.8
-34.616
10 times -328.3
-3283
What is the product of -6 and -2375?
14250
What is the product of -0.81 and 103?
-83.43
-95 * 0.04238
-4.0261
-12054 * 4
-48216
Calculate -122*4.118.
-502.396
What is the product of -0.68 and -0.066?
0.04488
Calculate 118*92.78.
10948.04
6*-60335
-362010
Calculate -211*-6759.
1426149
Multiply -0.1 and 0.08396.
-0.008396
10835*-0.1
-1083.5
What is 0.7 times 21.68?
15.176
275.7 * 1.6
441.12
Product of -0.567 and 1064.
-603.288
Product of 4495 and -3.
-13485
Calculate -85133*2.
-170266
Multiply 0.6 and 0.03635.
0.02181
What is the product of 0.103 and 3927?
404.481
What is 0.5 times 34362?
17181
2665*33
87945
What is the product of -110 and -0.0358?
3.938
1638 * 1.32
2162.16
-1.4 * 1350.1
-1890.14
Product of -4.2947 and -1.
4.2947
What is -8.906 times -173?
1540.738
What is -33013 times 0.03?
-990.39
Work out -0.893 * -13.
11.609
Product of 0.0846 and -1.87.
-0.158202
Multiply -0.035572 and 0.07.
-0.00249004
5*-255237
-1276185
What is the product of -4 and -184.687?
738.748
What is 9.63329 times 5?
48.16645
Product of 0.03283 and 0.046.
0.00151018
4 times 0.956
3.824
Calculate 0.095584*-11.
-1.051424
Calculate 12306.5*22.
270743
-29047*29
-842363
5488 * 2
10976
-200*3.74
-748
What is the product of -6022 and 6?
-36132
Multiply -1587 and 1.26.
-1999.62
Work out 0.07 * -319978.
-22398.46
Product of -143 and -12.7.
1816.1
Calculate -11211*-0.4.
4484.4
What is 11 times 0.4521?
4.9731
Product of 1 and 2579.
2579
0.1*4.0769
0.40769
Multiply -3780082 and 1.
-3780082
Multiply 3312846 and -0.5.
-1656423
Product of -0.141 and 0.38.
-0.05358
-5184 * 15
-77760
Multiply -0.057509 and -0.5.
0.0287545
What is the product of -0.4 and 132645.4?
-53058.16
What is -12105 times 0.01?
-121.05
What is -15 times -25865?
387975
Calculate -2065067*0.1.
-206506.7
Product of -0.5 and -146159.
73079.5
Product of 1209 and 1.3.
1571.7
Multiply -1 and -118975.
118975
Product of 1613 and -23.
-37099
-0.24 * -6.221
1.49304
131*-9.6
-1257.6
0.13*-2763
-359.19
Work out -0.4 * 17070.
-6828
Product of -92702.3 and 1.
-92702.3
What is -2 times -0.3989?
0.7978
What is the product of -40 and 2.86?
-114.4
What is the product of -25 and -1.106?
27.65
Multiply -441136 and -0.2.
88227.2
112.6 times 2.004
225.6504
Product of -0.09 and 519201.
-46728.09
What is -1.3 times 0.039?
-0.0507
What is the product of -0.076 and -9.3?
0.7068
What is -27.99 times 0.63?
-17.6337
What is 65.49 times -0.05?
-3.2745
What is the product of 28600.8 and 0.4?
11440.32
Multiply -153.94 and 2.
-307.88
-69193 * -0.4
27677.2
Multiply -6.04 and 264.
-1594.56
Calculate 5*-23.43.
-117.15
What is the product of 0.2 and -0.5445?
-0.1089
122413 * 4
489652
Multiply 1.3 and 37666.3.
48966.19
5993*5
29965
What is -0.2 times -15513?
3102.6
0.0196002 * 5
0.098001
What is 0.1129548 times -4?
-0.4518192
Work out 205 * 423.
86715
68618 times -0.4
-27447.2
What is 2.171 times 38?
82.498
What is -36 times 15418?
-555048
Work out 145442 * 0.5.
72721
What is 25 times -25128?
-628200
Product of -4 and 0.01081.
-0.04324
2.4 times 0.1717
0.41208
Work out 1089355 * 0.3.
326806.5
Product of 0.492397 and 0.
0
1.1 times 0.7656
0.84216
1 * 1137821
1137821
What is the product of -490 and 231?
-113190
Product of -2 and 25.154.
-50.308
-4 times 758
-3032
Calculate 275.28*3.
825.84
21*0.36406
7.64526
Product of 25.683 and -0.1.
-2.5683
-756.19*-8
6049.52
Calculate -0.3*-7946.
2383.8
Calculate 88*-0.039 | {
"pile_set_name": "DM Mathematics"
} |
mon multiple of c and l.
9
Let x = -11295 + 3286835/291. Let w = -11449/2910 - x. What is the common denominator of -21/10 and w?
10
Calculate the least common multiple of 288 and (-105)/(-14) + -9 - (-4671)/18.
12384
Let q = -360121/3091550 - -1/21175. Find the common denominator of q and -20/3.
438
Let p = -285 - -281. What is the common denominator of 51/2 and 57/p + 17/(34/8)?
4
Let s be 3 - ((-915)/(-675))/(1/(-1083)). Let b = 1470 - s. Find the common denominator of -39/10 and b.
30
Suppose 18*d = 3519 + 3609. Calculate the smallest common multiple of 352 and d.
3168
Let v(w) = -w**3 + 11*w**2 - 7*w - 2. Let s(z) = z**3 - z**2 + 5*z - 4. Let y = 33 - 31. Let t be s(y). What is the lowest common multiple of v(t) and 24?
168
Calculate the least common multiple of 7231 and 264/(-396)*(-315)/(0 + 3).
72310
Suppose -4 = 2*y - 3*k + 7*k, -4*k = -5*y - 24. Let v(s) = s**2 - 2*s - 25. Let o be v(y). What is the common denominator of 19/24 and o/14 - 11/(-66)?
168
Suppose -4*u = -17 - 55. Suppose u + 7 = 25*h. What is the lowest common multiple of 17 and h?
17
Suppose 0 = -9*m - 5 + 23. Suppose -3*x + 144 = -4*c, 4*x - m*x - 96 = c. Calculate the lowest common multiple of 30 and x.
240
Let m be (-4)/(-6) + 44776/(-96). Let q = m + 463. Let h = -1722 + 24121/14. What is the common denominator of h and q?
28
Let j(y) = -461*y**3 - 6*y**2 - 45*y - 82. What is the smallest common multiple of j(-2) and 1530?
18360
Let h be (-204)/16 + -3 - -2. Let i = h - -249/20. Find the common denominator of 2/(-5) + (-5751)/(-2340) and i.
260
Let n(w) = w - 2. Let t be n(6). Suppose t*m = -m + 10. Suppose -38*h + 388 = -296. What is the smallest common multiple of m and h?
18
Let f = -78 - -77. Let j = -6 + f. What is the lowest common multiple of (-8)/(((-2)/4)/(j/(-14))) and 77?
616
Let h(p) be the third derivative of 17*p**4/24 - p**3/6 + 10*p**2. Calculate the smallest common multiple of 32 and h(1).
32
Let d be ((736/(-24))/(-4))/((-78)/742). Let s = -1042/13 - d. Calculate the common denominator of s and -2/21.
63
Let s = 5777 + -5647. What is the smallest common multiple of 416 and s?
2080
Let j = 5623 + -5475. Calculate the least common multiple of 2 and j.
148
Let h = 39766/2013 + -217/11. Let i = 919/2379 - h. Calculate the common denominator of 11/51 and i.
663
Let l be 1*-1 + (-210)/7. Let a = l + 85. Calculate the lowest common multiple of a and 12.
108
Suppose -15*x + 120 = 5*x. Calculate the common denominator of ((-1827)/(-240))/(-3) - x/15 and 3/56.
112
Let i = 108 + -112. Calculate the common denominator of 23/42 and 1/(-2)*i - 554/132.
462
Suppose -10*n = 3082 + 27528. Let h = n + 64241/21. Calculate the common denominator of h and 19/9.
63
Suppose 2*j - 35*a + 34*a - 11455 = 0, 0 = j + a - 5717. What is the lowest common multiple of j and 4?
5724
Suppose 2032*h - 1848 = 2020*h. Calculate the least common multiple of 392 and h.
4312
Let n = -449 - -472. Calculate the common denominator of (-12)/18 - n/(-3) and -9/5.
5
Let l be 6448/144 - 4/(-18). Let n = 1096/21 - 1123/28. Calculate the common denominator of n and ((-42)/60)/((-5)/l).
60
Let j = 2909193/47 - 190376391/2632. Let o = -10433 - j. Find the common denominator of -77/12 and o.
168
What is the common denominator of 11/2107 and (3/1032)/(156/36 + -4)?
16856
Let q be (-575)/(-15)*(11 - -1). Let i = q + -454. Calculate the least common multiple of 3 and i.
6
Let k = 99 - 57. Suppose -2*u + 101 = f, 160 = 3*u - f + 16. What is the lowest common multiple of u and k?
294
Suppose -5*t = -3*d - 117, -3 = -2*t + 3. Find the common denominator of d and 14/(-49)*-14 + 3/996*-1526.
166
Calculate the common denominator of 0 - 3160/432 - (5 - (14 + -2)) and ((-158)/(-18) - 1)/(17 - 11).
54
Suppose 8*n - 11*n + 87 = 0. Suppose -6*j = -n - 7. Calculate the least common multiple of 16 and ((-25)/15)/((-1)/j).
80
Let y(f) = -222*f**2 - 45*f - 3. Let k be y(-7). Let u = k - -169149/16. What is the common denominator of 29/114 and u?
912
Let z be (-618)/8*(-392)/147. Let o = -78 + z. Calculate the least common multiple of o and 6.
384
Let x = 2609 - 2524. What is the smallest common multiple of 34 and x?
170
Find the common denominator of 145/4458 and (4/30)/((-260)/(-9425)).
4458
Let f(s) = 162*s + 2359. What is the lowest common multiple of 209 and f(-6)?
15257
Let m = 3/1709 + 83639/58106. What is the common denominator of m and -151/816?
816
What is the common denominator of -61/240 and (218/(-5341))/((-1023)/301 + 3)?
1680
Let n(j) = -j**2 + 13*j - 1. Let c be n(11). Suppose c = 10*h - 3*h. Calculate the smallest common multiple of 244 and h.
732
Let q = 2027 + -2007. What is the least common multiple of 576 and q?
2880
Calculate the common denominator of ((-15)/7)/((-10494)/220) and 63/22.
24486
What is the least common multiple of 76 and (-24)/((-120)/(-10) + -18)?
76
Let t = -3256609/8710758 - -928/2313. What is the common denominator of t and 35/4842?
33894
Suppose -25*d - 51*d = -31*d - 2880. Calculate the least common multiple of d and 1024.
1024
Suppose 72*a + 47*a - 8880 = 45*a. What is the least common multiple of a and 64?
960
Let k = 45674 + -271165/6. Let c = k - 1588/3. Calculate the common denominator of -49/4 and c.
4
Suppose -2*u + 2*d = -1496, 3*u - 2244 = -123*d + 128*d. Calculate the least common multiple of u and 220.
3740
Let p(g) = -g**2 + 13*g + 6. Suppose -4*z = -4, 4*r - z + 3*z - 2 = 0. Calculate the least common multiple of 28 and p(r).
84
Suppose 2299 = 13*l - 10*l + 16*l. Calculate the smallest common multiple of l and 88.
968
Let t = -2077392 - -1384093. Let x = -4862829/7 - t. Let n = 1385 + x. Calculate the common denominator of 73/16 and n.
112
Suppose -18*m + 14*m = -2*g + 356, 1290 = 7*g - 3*m. Calculate the smallest common multiple of 48 and g.
1488
Let q be (-2)/(2 + 360/(-185)). Let k = q + 42. Suppose 34 = j - 2*z - 3, z = -k. Calculate the smallest common multiple of 30 and j.
270
Let x = 123/79 + -12989/4740. What is the common denominator of (2 + 0)/((-3927)/(-583) - 7) and x?
420
Let x be 258/33 - ((-18)/(-33))/(-3). Find the common denominator of -47/22 and (420/(-225) + x/(-10))*-15.
22
Let s(p) = -35*p + 29. Calculate the lowest common multiple of s(-2) and 33.
99
Suppose -14*u + 124 + 1640 = 0. Calculate the common denominator of 0 - (-721)/u - 4 and 113/84.
252
Suppose 55*u = 59*u + 2*m - 62, 5*m - 59 = -4*u. Calculate the smallest common multiple of 1630 and u.
13040
Suppose 70*n = 69*n + 6. Calculate the least common multiple of (0 - (2 - -7))/(-1) and 0/n + 2 - -3.
45
Let x = 250582 + -123286433/492. Find the common denominator of x and 53/451.
5412
Let n be -1*(6/2 - 6) + 169. Let f = -76 + n. Suppose 2*w = -w + f. What is the least common multiple of 14 and w?
224
Suppose 0 = -14*m - 13*m - 2*m + 4930. Calculate the lowest common multiple of m and 248.
21080
Let t = -15783 + 1010047/64. Calculate the common denominator of ((-6014)/1488)/(6/(-8)) and t.
576
Let v be (-8268)/(-1196) + 2/23. Suppose 9 = v*j + 2. Calculate the least common multiple of 1 and j.
1
What is the smallest common multiple of (60/(-21))/((-144)/504) and 80?
80
Let o = -103499/6 - -17244. Find the common denominator of -6/3199 and o.
19194
Suppose 85*g = 73*g + 36. Suppose -5*j = y + 27, -4*y = 5*j - 0 + 33. Let o = y - -4. What is the lowest common multiple of o and g?
6
What is the common denominator of 27/256 and (18/(-20))/((-190168)/(-1155) + 48/18)?
15616
Let r = 5073999/176 + -28829. Find the common denominator of r and (6/(-8))/((-1536)/(-1232)).
1408
Find the common denominator of 115/6 and 4 - ((-74776)/(-1536))/13.
192
Let y be (-25 + 26)*(-2 - 0 - -2). Let q(z) = 2*z**2 + 3*z + 60. What is the smallest common multiple of 24 and q(y)?
120
Let i be (-3564)/8835 - (-5)/((-75)/(-6)). Let s = 1148/8835 - i. Calculate the common denominator of 131/6 and s.
30
Suppose -18*u + 4399 + 47 = 0. Let h = 249 - u. Suppose 9 = a - 0*a. Calculate the lowest common multiple of a and h.
18
Suppose -5023 = 12*j - 5899. What is the smallest common multiple of j and 438?
438
Let n(f) = -101*f - 5 + 0 + 90*f. Let l be n(4). Let c = 53 + l. What is the smallest common multiple of 2 and c?
4
Let m = 608 - 1031. What is the common denominator of 85/16 and m/12*((-56)/(-54) + -1)?
144
L | {
"pile_set_name": "DM Mathematics"
} |
s be (-16)/(-6)*3/4. Let m be (-1180)/(-380) + (s - -1)/(-1). Which is the closest to 3/2? (a) 2 (b) m (c) -1
a
Let h = -7616 - -7614.72. What is the nearest to 0 in -2, -9, h, 4?
h
Let p = -0.5735 + 0.7235. What is the closest to -2 in -1/4, 1/4, p, -11?
-1/4
Let f = -5.2 + 20.2. Let p = f - 15. Let l = -0.2 + p. What is the closest to 2/3 in 3/5, l, 4?
3/5
Let f be (-5 + -1 + 0)/2. Let w be 2*(12/24 + f*1). Which is the closest to 0.1? (a) w (b) -0.04 (c) 0.3
b
Let t = 3175 - 3174.7. What is the nearest to -2/11 in -0.2, -641, t?
-0.2
Let s be (18*1/2)/(-15). Which is the closest to -0.2? (a) 5 (b) 12/5 (c) -1/2 (d) s
c
Let x = -0.29 - -0.39. Let q = 155.3 - 157. Which is the closest to x? (a) 0 (b) q (c) 5
a
Let g = -614 + 613. Let u = -169 - -171. What is the closest to g in -2/9, -16, u, 1?
-2/9
Let v be -3*(-30)/(-18) - (-33)/7. What is the closest to 0 in v, -126/5, -0.4?
v
Let f = -8.27 + -327.73. Let n = 331 + f. What is the closest to -0.02 in 0.2, n, 5/6?
0.2
Let d be 0 - 1 - 8/(-14). Let h = 432 - 432.2708. Let i = h + -0.0292. What is the closest to i in d, -3, 0.5?
d
Let h be (-2)/(-6)*(-19 + 483/42). Which is the closest to 0? (a) -3/5 (b) -1/26 (c) h
b
Let d be (18 + (-5962)/330)*(-2)/(-1). What is the closest to -2 in d, 0.3, 5/8?
d
Let b = -120.59 - 0.41. Let h = b - -119. What is the closest to 2 in h, -3, -0.4?
-0.4
Let v = -140 + 150. Let m be (6/v)/((-5)/(60/(-9))). What is the closest to 0.1 in 3/4, m, 9/2?
3/4
Let z = -175 - -175.287. Let x = z + -0.287. Let w = 0.2 + -0.3. What is the nearest to 2/5 in x, w, -5?
x
Let r = -396.8 + 396.8. Let p be (-1 + (-1)/(-2))/1. Which is the closest to 1? (a) r (b) 0.2 (c) p (d) 1/6
b
Let l = 0.188 + 85.812. Let b = l + -85.6. What is the nearest to 1 in 2, b, 7?
b
Let x be (9/78 + 0)*360/(-1890). Let d = 4696507/21128835 + -14/46437. Let h = x + d. Which is the closest to -1? (a) h (b) 3 (c) 0.4
a
Let l = 13 + -11. Let z = 52 + -51. Which is the nearest to -1/2? (a) l (b) 8 (c) z (d) 0
d
Let c = 4766.1 + -4766. What is the nearest to -20 in -3/8, -7, c, -0.4?
-7
Let h = 43.9 + -44. Which is the closest to h? (a) -0.06 (b) -1/13 (c) 7
b
Suppose 0 = -h, 0 = 51*r - 54*r + 4*h. Let a = -233 - -236. What is the nearest to -2/7 in a, r, 2/3, 2/13?
r
Suppose -110 = -3*h + 24*z - 29*z, -5*z + 65 = 2*h. Let f be (21/(-10))/7 - 9/h. Which is the nearest to f? (a) 0.3 (b) -5 (c) -1/7
c
Let p = -2 - -1.5. Let z = 21/34 - 2/17. Let o = -444/41 + 2705/246. Which is the nearest to -1? (a) z (b) p (c) o
b
Let u = 2491 + -2487. Which is the closest to -0.1? (a) u (b) -321.6 (c) 0.5
c
Suppose 0 = 2*y + 3*s - 235, y - 4*s - 129 = 5. What is the closest to 1 in -1/2, 0.5, y?
0.5
Let w = -23.6 + 4.6. Let k be (((-12)/(-10))/2)/(9/(-6)). What is the nearest to -0.2 in w, -5, k?
k
Let k = 18 - 18.3. Let r be (-2*2245/(-10))/(-2 + 7). Let p = r - 89. What is the closest to -2/5 in -5, p, k?
k
Let j = 394.1 + -400. Let p = -1.1 + j. Which is the nearest to 0.1? (a) 0.4 (b) p (c) -2/17
c
Let n = -0.2 - -1.2. Let f = n - 3. Let v = -12292/5 - -2458. What is the nearest to v in 4, 2/15, f?
2/15
Let z be (6/14)/((-186)/(-124)). What is the closest to z in 0, -7, 0.07, -2/43?
0.07
Suppose -36 = -13*i + 4*i. Suppose 0 = -i*s + s. Suppose -2*b - 2 = 4, s = 5*w - b + 2. What is the closest to 0 in 5, w, -0.3?
-0.3
Let f = 4.1 - 3.7. Let d = -58 - -56. Let q = -3 - -5. What is the closest to d in f, q, -0.4?
-0.4
Let w be (2 - 3)/(-8 + -4 + 4). Let j = -11/51 + -2/17. Which is the closest to j? (a) 0.04 (b) w (c) 1/6
a
Let l = 366 - 361. Let n be l*6*7/945. Which is the nearest to 2? (a) n (b) -0.6 (c) 0.3
c
Let g = -481/42 - -67/6. Let j = -2864 - -2882. What is the nearest to 2/3 in 3, g, 0.4, j?
0.4
Let w be ((-12)/(-108))/(2/24). Let s = -21 - -13. Let d be s/170*5/2. Which is the closest to -1? (a) d (b) w (c) -1/3
c
Let s be 30500/200 - 142 - (11 - (-1)/(-1)). Let p = 0.2 - 0.2. Let t = -3 - p. What is the closest to 0.1 in t, 4, s?
s
Let z = -776.3 + 776. What is the nearest to z in 0.4, 2/3, 10?
0.4
Suppose 0 = -2*p + 2, 4*r - 5*p = -4 - 1. Suppose 18 = 3*m + 4*h, r = 24*m - 20*m - h - 5. What is the closest to 0.007 in m, 0.1, -1/3?
0.1
Suppose s + 0*z - 2*z - 4 = 0, 4*s - z - 9 = 0. Suppose s*l = 4*l - 8. Suppose w + w = -l*w. What is the nearest to -1 in w, 0.5, -5?
w
Let z be 0 + (-21)/12 - -1. Suppose 4 - 7 = -3*n. Let u = 2.8996 - 2.9996. Which is the closest to n? (a) z (b) -0.4 (c) u
c
Let y(b) = b**3 - 7*b**2 + 34*b - 237. Let l be y(7). What is the closest to 3 in l, 0, 2/15?
l
Let c be 2/3 - 7/3. Let w = -94665 + 94667. What is the nearest to c in w, -2/5, 5?
-2/5
Let o = 0.3 - -0.2. Let k = -471921 - -2359606/5. Which is the closest to -1/4? (a) 1 (b) k (c) -0.01 (d) o
c
Let p = 206.023 + -0.023. Let m = 205.9 - p. Let j = 5 - 1. What is the nearest to m in 5, 2/15, j?
2/15
Let o be (-10)/45 + 2/9. Let r = -17 - -14.7. Let q = r - -1.3. Which is the nearest to o? (a) -0.1 (b) -0.4 (c) q
a
Let p = 2/5443 + 5439/10886. Let t be (-44)/(-204) + (-2)/6. What is the closest to p in 1, t, 1/13?
1/13
Let t = -23.6 + 4.5. Let i = t - -19. Let z = 64 - 324/5. Which is the nearest to 2? (a) 1/7 (b) z (c) i
a
Let s(v) = 2*v + 16. Let g be s(-9). Let f be ((3 - 2)/12)/(1/g). Let o(i) = 2*i**2 - 6*i + 6. Let t be o(3). What is the closest to -3 in f, -4, t?
-4
Let v = -4 + 7. Let i = -115908/5 + 23181. Which is the nearest to v? (a) 13 (b) i (c) 0
c
Let v = 2.507 + 0.043. Let t = -2.5 + v. Let i = t - -0.05. Which is the closest to i? (a) 4 (b) -0.2 (c) 3
b
Let y = 330 - -227. Let q = y - 549. What is the closest to -0.1 in -0.3, 2/7, q?
-0.3
Let l = -3627.4 - -3627. Which is the closest to -1/6? (a) l (b) -13 (c) -0.2
c
Let h = 317/24 + -103/8. What is the closest to 1/3 in h, -5, -0.9, 0?
h
Let p = 18 - -13. Let w = -0.8 - -0.3. Let v be (-48)/(-128) + (-68)/32 + 2. What is the closest to v in w, p, -1?
w
Let j = -485 + 444. Let l = -47 - j. What is the closest to 1 in -2/7, -4, l?
-2/7
Let l = -29678.08 + 29678. What is the nearest to l in -0.073, -3, -0.2, 2?
-0.073
Let p be (-2)/((-11)/(44/420)). Let s = -13/21 + p. Which is the nearest to -2? (a) s (b) -0.1 (c) -1/2
a
Let f = -115722 + 115725. Let o = -4.6 + 5. Which is the nearest to 24/7? (a) o (b) f (c) -2/9
b
Let i = -321015 + 321018. Let f = 1/64 + -69/320. Which is the nearest to -2/3? (a) 3/4 (b) f (c) 0.2 (d) i
b
Let j = -2.2 - -2. Let m = 11.2 - 11.098. Let a = 0.098 + m. What is the nearest to j in 1, -0.09, a?
-0.09
Let s = -5.89 + 342.89. Let f = s + -338. Which is the nearest to f? (a) -14 (b) -2 (c) 3 (d) 2/7
b
Let j = -1 + 1.2. Let c be ((-5)/15)/((-5)/2859). Let x = -190 + c. What is the closest to -2 in x, -1, j?
-1
Let r = 0.3 - 0.4. Let x(d) = -32*d - 49. Let o(q) = -15*q - 24. Let s(h) = 13*o(h) - 6*x(h). Let l be s(-6). What is the nearest to -6 in l, r, -0.5?
-0.5
Suppose 17*v - 18*v + 5 = 0. What is the nearest to 3 in v, 0, 4?
4
Let k = 0.334 + -0.834. Let y = 57 + -13. Which is the closest to 1? (a) y (b) k (c) -0.1
c
Let j = -5.8384 + -0.0916. Let t = 0.23 + j. Let f = 5.2 + t. Which is the closest to 1? (a) f (b) -0.3 (c) 0.5
c
Let m = -0.3 - 0.2. Let r(h) = -514*h - 1546. Let z be r(-3). Which is the nearest to 2/3? (a) 0.5 (b) z (c) m
a
Suppose 58 = 28*d - 138. Let k = -0.3826 + -0.0174. What is the closest to -1 in -0.13, k, d?
k
Let r(m) = -m**2 + 7*m - 11. Let q be r(6). Let l be (2/(-10))/((-1)/2)*q. Let d be 3*(-4)/30*l. What is the closest to 1 in 0.4, d, 1/4?
d
Suppose 0 = 2*y + 3*p - 3, 6 = -3*y - p - 0. Let h = 4.3 - 3. Let z = -18832.3 + 18832. What is the nearest to h in y, -2/13, z?
-2/13
Let f = -103 + 101.49. Let o = f + 7.51. Which is the nearest to o? (a) -0.4 (b) -4 (c) 0
c
Let l = -0.2 + 0.3. Let z = -1749.40995 + -0.29005. Let r = 1750 + z. What is the nearest to 0.1 in -2, r, l?
l
Let l = -6531 - -6265. Which is the closest to 0.1? (a) -2/3 (b) l (c) 1
a
Let q = 744 - 680. Let n be ((-6)/(-104))/((-24)/q). What is the nearest to -0.01 in -3, -0.3, n, -5?
n
Let w be (-11)/18 - (-82)/123. Let m = -31/90 - w. What is the nearest to 0.1 in 0.07, 0.2, m, 8?
0.07
Let q = 58822/7 - 8402. Which is the close | {
"pile_set_name": "DM Mathematics"
} |
42*h
Let o(b) = -3647*b**3 + 6200*b**2 + 403*b. Let k(q) = 2735*q**3 - 4650*q**2 - 310*q. Let r(g) = 13*k(g) + 10*o(g). What is the third derivative of r(p) wrt p?
-5490
What is the second derivative of -1 + 3 - 1514*a - 745585*a**4 - 3*a**3 + 745879*a**4 wrt a?
3528*a**2 - 18*a
Let b(r) = -10*r + 4*r**2 - 5*r**2 + 19 + 12 - 12. Let x be b(-11). Find the second derivative of 7*l - 7*l**2 - 5*l**2 - 3*l**2 + x*l**2 wrt l.
-14
Suppose -4*j + 5*i - 17 = 0, 5*j + 5*i + 5 = 8*i. Let o(q) be the third derivative of 1/6*q**3 + 0*q + 18*q**j - 5/6*q**4 + 0. Differentiate o(b) wrt b.
-20
Suppose 0 = -0*n - 3*n + 1737. Suppose -50*p = -53*p + n. What is the third derivative of 193*k - 10*k**2 - p*k - 11*k**3 wrt k?
-66
Let m(i) = -i**3 - 17*i**2 - 23*i + 107. Let d be m(-15). What is the second derivative of 29*o**2 - 22881*o + d + 22883*o - 5*o**2 - 2*o**5 wrt o?
-40*o**3 + 48
Suppose -8*q + 5*q + 9 = 0. Let f = -1 + q. Find the first derivative of -2*o**f + 13*o**2 - 7 - 4*o**2 wrt o.
14*o
Let v(l) = -1198*l**6 + 6*l**3 + 1304*l**2 + 6*l - 6. Let u(i) = -i**3 + i**2 - i + 1. Let f(m) = 6*u(m) + v(m). Find the third derivative of f(k) wrt k.
-143760*k**3
Let g(k) = -1074*k + 1593. Let v(a) = 538*a - 795. Let b(s) = 2*g(s) + 5*v(s). Differentiate b(m) wrt m.
542
Let w be -642*13/468 + 19. Let l(c) be the third derivative of 0 - 31*c**2 + w*c**4 - c**3 + 0*c. What is the derivative of l(i) wrt i?
28
Suppose 85*p + 200 = 90*p. What is the second derivative of 122*d**2 - 11*d - p*d**2 + 71*d**2 + 5*d wrt d?
306
Let b = 697/1674 - -1/3348. Let g(v) be the second derivative of -7/3*v**3 + 0 + 0*v**2 - b*v**4 + v. What is the second derivative of g(q) wrt q?
-10
Let d be 6 + 0/(-2) + -4. What is the third derivative of -52*i**3 - 83*i**d - 102*i**3 + 91*i**3 wrt i?
-378
Suppose -5*q = 35*t - 33*t - 120, 0 = 2*t - 10. Differentiate 18*r + 99 + 33*r + q*r wrt r.
73
Let o(p) = 77*p - 82. Let u = 257 + -253. Let b(l) = 2*l. Let w(g) = u*b(g) - o(g). What is the derivative of w(q) wrt q?
-69
Let p(g) = 2*g**4 + 61*g**3 - 24*g**2 - 15. Let w(l) = 14*l**3 - l**2. Let y(a) = p(a) + 3*w(a). What is the third derivative of y(d) wrt d?
48*d + 618
Let h(j) be the first derivative of 3717*j**4/4 - 4*j**3/3 + j**2/2 + 54*j - 1330. What is the third derivative of h(o) wrt o?
22302
Suppose -205*y + 210*y - 365 = 0. Find the first derivative of 37 + 35*g**4 + y*g**4 + 62 wrt g.
432*g**3
Suppose -14 = 12*n - 26*n. What is the first derivative of n - 165 - 21 - 160*f wrt f?
-160
Let d be 78/(2 - 0) - 6. Differentiate 18*y**2 - 4*y + d + 36 + 42 + y wrt y.
36*y - 3
Let c = -184 + 451. Find the first derivative of -466*z + c*z + 235*z + 102 wrt z.
36
Let o be ((-15)/10)/(2*3/(-88)). What is the derivative of -8 - 87*j + o*j - 41 - 11 wrt j?
-65
Let a(k) be the first derivative of k**5/5 + 33*k**4/2 - 17*k**2/2 + 11249*k + 13343. Differentiate a(x) wrt x.
4*x**3 + 198*x**2 - 17
Differentiate 145197*l - 72739*l - 73196*l - 152 wrt l.
-738
Find the second derivative of 81 + 340*c + 5039*c**2 - 147 + 29 + 328*c + 38 wrt c.
10078
Let u(s) be the second derivative of -257*s**8/56 - s**4/4 - 150*s**2 + 8*s - 140. Find the third derivative of u(c) wrt c.
-30840*c**3
Let h(u) be the second derivative of 4*u - 83/2*u**3 - 36 + 94*u**2. Differentiate h(k) with respect to k.
-249
Let z(a) = -a**2 - 11*a - 11. Let y be (6 - -3)/((-1)/1). Let b be z(y). Find the second derivative of -b*k + 4*k**2 + 0*k**2 - 4*k**2 - 4*k**2 wrt k.
-8
Let n(a) = -5907*a + 5896. Let f(c) = -5909*c + 5866. Let w(d) = -2*f(d) + 3*n(d). What is the derivative of w(j) wrt j?
-5903
Let z be 50/300 + (-17)/(-6). Find the third derivative of 5*o**3 - 2*o**z + 46*o - 48*o + 126*o**4 + 53*o**2 - 3*o**3 wrt o.
3024*o
Suppose 0 = -32*s + 38*s. Let d be (1 - s)*(2 + 1 + -1). What is the third derivative of -12*t**2 + 36*t**d - t**3 + 2*t**3 wrt t?
6
What is the first derivative of -4751*p + 1485 - 1385 + 3918 wrt p?
-4751
Let l(d) = -11*d**3 + 1416*d**2 - 37*d + 2. Let s(u) = -3*u**3 - 8*u**2 + 1. Let m(z) = l(z) - 3*s(z). Find the second derivative of m(t) wrt t.
-12*t + 2880
What is the third derivative of 467*l**3 + 760*l**3 - 379*l**2 - 541*l - 383*l**2 + 763*l**2 wrt l?
7362
Let v(o) be the second derivative of 181*o**6/10 - o**4/6 + 163*o**2/2 + 226*o. Find the third derivative of v(c) wrt c.
13032*c
Let m(y) be the third derivative of -389*y**8/336 - 737*y**4/24 - 3*y**2 - 274. What is the second derivative of m(j) wrt j?
-7780*j**3
Let l(y) = -y + 46. Let x be l(0). What is the derivative of 27 + x + 24*a - 2*a**2 + 17 wrt a?
-4*a + 24
Suppose -57*k + 196 = 99*k - 58*k. Let w(a) be the second derivative of 0*a**k + 16/3*a**3 - 14*a + 7/12*a**4 + 0. What is the second derivative of w(l) wrt l?
14
Suppose 0 = -13*n - 1000 + 64. Let b = n - -231. What is the first derivative of 143 - b - 39*z**2 + 6*z**2 wrt z?
-66*z
Suppose -6*z + 109 = -41. What is the second derivative of -16*a**2 + 41*a**2 + 36*a**2 - z*a - 2 wrt a?
122
Let s = -17 + 19. What is the second derivative of -s - 15*x + 65*x + 5*x**3 - 21*x**3 - 24*x wrt x?
-96*x
Let j(r) = 175*r**2 + 3*r - 169. Let x(c) = 123*c + 128*c - 338 - 246*c + 352*c**2. Let s(l) = -5*j(l) + 3*x(l). What is the derivative of s(g) wrt g?
362*g
What is the second derivative of -5540*d - 4534*d**4 + 41532*d**3 - 3494*d - 41532*d**3 wrt d?
-54408*d**2
Suppose -7*f = -285 - 317. What is the derivative of -52*a**3 - f*a - 96*a - 3*a**2 + 182*a - 133 wrt a?
-156*a**2 - 6*a
Suppose -4*i + 9 = -0*i - 3*f, -4*f + 4 = 0. Suppose 12*u + 14 = 14*u. Find the second derivative of 0*t**3 - i*t**4 + 0*t**3 + u*t wrt t.
-36*t**2
Find the second derivative of -10 + 40 + 192*j**3 - 171 + j + 698*j**2 - 193*j**3 wrt j.
-6*j + 1396
What is the derivative of -903 - 3346*z**3 + 781*z**3 + 330 - 1676*z**3 wrt z?
-12723*z**2
Find the second derivative of -76*p**2 + 303*p + 72*p + 416*p + 273*p - 120*p**2 wrt p.
-392
Let y be (-2 - -98 - -3) + 2 + -2. Let f(z) be the first derivative of 10*z**4 - y + 12*z**2 + 75 + 0*z**4. Find the second derivative of f(k) wrt k.
240*k
Let h(c) = 13286*c**3 - 30*c + 4364. Let b(s) = 6643*s**3 - 18*s + 2182. Let w(z) = -5*b(z) + 3*h(z). Differentiate w(j) with respect to j.
19929*j**2
Let z be (-2)/(-12)*(942 - -36). Find the second derivative of 9 - 9 - z*m - 118*m**2 - 27*m wrt m.
-236
Let b(x) = 27267*x - 1076. Let z(h) = 6793*h - 269. Let a(p) = 2*b(p) - 9*z(p). What is the derivative of a(y) wrt y?
-6603
What is the third derivative of 345*t**2 + 11833*t**5 - 4882*t**2 - 623*t**2 + 802*t**2 + 596*t**2 wrt t?
709980*t**2
Let f(b) be the third derivative of 0 + 0*b + 171*b**2 + 0*b**5 - 5/3*b**3 + 157/120*b**6 + 1/6*b**4. Find the second derivative of f(m) wrt m.
942*m
Differentiate -166859*w + 4939 + 83426*w + 1146*w**2 + 83433*w wrt w.
2292*w
Let n(a) be the third derivative of 0*a**3 + 5/12*a**5 + 0*a - 41/30*a**6 + 120*a**2 + 0*a**4 + 0. What is the third derivative of n(c) wrt c?
-984
What is the derivative of -508 - 676 + 45 + 971*c wrt c?
971
Let t(m) = -13*m + 107. Let o be t(8). Differentiate -z - 1686*z**o + z + 1686*z**3 - 7 - 98*z**4 with respect to z.
-392*z**3
Let f(j) be the third derivative of -1283*j**7/210 + 451*j**3/3 + 181*j**2. Differentiate f(b) with respect to b.
-5132*b**3
Let l = -246 - -260. What is the third derivative of -4*s**2 + s**5 - 57*s**4 + s**2 + 104*s**4 - l wrt s?
60*s**2 + 1128*s
What is the third derivative of 3462899*o**3 - 3462899*o**3 + 2*o**4 + o**2 + 84*o**5 + 100*o + 6 - 25*o**6 - 28*o wrt o?
-3000*o**3 + 5040*o**2 + 48*o
Find the third derivative of -k**5 + 1384*k + 20 - 3 - 696*k + 3303*k**4 - 690*k - 6*k**2 wrt k.
-60*k**2 + 79272*k
Let n(l) = 4*l**2 + 162*l - 79. Let d be n(-41). Let y(a) be the first derivative of 10/3*a**d + 2*a**2 + 0*a - 9. Find the second derivative of y(o) wrt o.
20
Let b(x) = 166668*x**2 + 267376*x - 187. Let y(p) = 1792*p**2 + 2875*p - 2. Let w(t) = -2*b(t) + 187*y(t). Find the second derivative of w(k) wrt k.
3536
Let l(y) = -y**3 - 5*y + 61. Suppose 1 + 91 = 23*b. Let m(v) = -v**3 - 10*v + 123. Let k(t) = b*m(t) - 7*l(t). What is the derivative of k(q) wrt q?
9*q**2 - 5
Let d(a) = a**5 - 6*a**4 - a - 1. Let s(i) = -5*i**5 + 2727*i**4 - 2744*i + 3. Let y(g) = 3*d(g) + s(g). What is the seco | {
"pile_set_name": "DM Mathematics"
} |
to base 11
-118693
What is -5302662 (base 8) in base 7?
-14663123
Convert -2121110222112 (base 3) to base 12.
-56a9a2
Convert 31323311 (base 4) to base 7.
325256
-112121111102 (base 3) to base 2
-1000110001101100100
-101011101101100 (base 2) to base 11
-158a6
-114144324 (base 5) to base 8
-2031570
-12abd1 (base 14) to base 2
-10011101010101010011
Convert 212b87 (base 12) to base 16.
7fd17
What is -24aaba (base 13) in base 14?
-18cd11
What is -21100202102 (base 3) in base 4?
-203113331
Convert -e03e (base 15) to base 9.
-71805
Convert -548527 (base 9) to base 16.
-50047
What is -101101101000110111001011 (base 2) in base 16?
-b68dcb
What is -107484 (base 10) in base 16?
-1a3dc
Convert 3644322 (base 7) to base 2.
1110001100000100000
-13658 (base 15) to base 6
-1155515
a74410 (base 12) to base 6
132334420
What is -78edd (base 16) in base 3?
-221011110101
Convert -140131234 (base 6) to base 9.
-5254374
What is 212102130300 (base 4) in base 12?
3440580
-11c2880 (base 14) to base 2
-100000100011110111100000
-3298aa (base 15) to base 7
-26333140
Convert -76901 (base 11) to base 9.
-180028
Convert 13034026 (base 7) to base 9.
2205561
What is 201202101120022 (base 3) in base 10?
10498742
What is 1042033034 (base 5) in base 16?
231508
2048b2 (base 14) to base 4
10021231130
What is da520 (base 14) in base 4?
2000313300
What is -345a5 (base 11) in base 12?
-24abb
-650a310 (base 11) to base 6
-1045213225
110012330 (base 6) to base 7
22446246
Convert 1674752 (base 9) to base 2.
11100100010100011000
What is 3511560 (base 7) in base 4?
1223123031
-12431332 (base 5) to base 8
-362077
What is -1122233110 (base 4) in base 6?
-11544404
Convert -9267 (base 12) to base 13.
-7327
15dbcba (base 15) to base 10
15885625
-25d3d1 (base 16) to base 6
-125045041
-272217 (base 8) to base 3
-11211211102
What is 217011 (base 10) in base 16?
34fb3
What is 652ea (base 16) in base 7?
3344200
Convert 21330320110 (base 4) to base 13.
7044b2
10011110001011001011 (base 2) to base 6
21515243
Convert -25aa7 (base 12) to base 15.
-104a4
Convert 353000120 (base 6) to base 16.
646170
Convert -2214 (base 13) to base 4.
-1022031
342455250 (base 6) to base 2
10111111111110011101110
-101376511 (base 8) to base 5
-13343412422
3327403 (base 8) to base 10
896771
What is 2e72d (base 15) in base 14?
3c9ca
What is 3bcba (base 14) in base 8?
440754
-121141411 (base 5) to base 4
-2022300210
What is -538405 (base 11) in base 10?
-860315
-775627 (base 8) to base 3
-111021001020
What is 20140344 (base 5) in base 14?
43058
12543210 (base 6) to base 7
3360525
Convert 1001110100001101000 (base 2) to base 7.
2506504
3132134 (base 5) to base 11
36217
Convert 2200332 (base 4) to base 7.
42015
Convert -981246 (base 10) to base 2.
-11101111100011111110
Convert -1343314400 (base 6) to base 5.
-13144330023
71c80 (base 14) to base 11
177a50
What is 6f0248 (base 16) in base 4?
123300021020
100201201110 (base 3) to base 14
4db23
What is 12100201 (base 4) in base 14?
94ad
-1011101101011010110000 (base 2) to base 15
-4097b1
2a3c13 (base 15) to base 9
3745350
977a9 (base 13) to base 10
273750
Convert -73c (base 13) to base 4.
-103102
Convert 21904a9 (base 12) to base 5.
3120030004
-3e63e (base 15) to base 4
-300331112
Convert -373473 (base 10) to base 16.
-5b2e1
Convert -1104100004 (base 5) to base 8.
-11141643
b06c3 (base 15) to base 7
4514004
What is -4650b (base 12) in base 13?
-33a61
Convert -4c756a (base 14) to base 15.
-37004a
Convert 33b9b1 (base 13) to base 15.
19312e
Convert -1974345 (base 10) to base 6.
-110152253
What is -24b6348 (base 13) in base 14?
-1746b8a
Convert 641235 (base 7) to base 10.
110913
Convert 352de (base 16) to base 12.
a607a
What is -2553056 (base 7) in base 11?
-20781a
Convert -357779 (base 12) to base 6.
-30301033
Convert 11326244 (base 7) to base 12.
401a8b
225440100 (base 6) to base 8
17765044
-562676 (base 9) to base 4
-1102023300
Convert 1819a4 (base 16) to base 8.
6014644
-155242414 (base 6) to base 12
-114940a
Convert 1361654 (base 8) to base 10.
385964
-32428365 (base 9) to base 6
-1315445305
Convert -1d4e06 (base 16) to base 9.
-3546408
What is b45d9 (base 15) in base 9?
1061206
443411551 (base 6) to base 3
120002000000211
What is 1102b9 (base 12) in base 4?
1001322231
-10911 (base 10) to base 13
-4c74
What is -3361056 (base 8) in base 5?
-213103440
What is -1130020 (base 4) in base 13?
-28b7
What is -b741cf (base 16) in base 13?
-2646692
-979a13 (base 12) to base 10
-2401647
-62452 (base 11) to base 12
-44835
-bd342 (base 14) to base 2
-1110000000010001110
352323054 (base 6) to base 5
3134332232
Convert 63579 (base 10) to base 4.
33201123
Convert -251303433 (base 6) to base 9.
-10071103
Convert 1020001210 (base 3) to base 4.
11320221
What is -37a9c6 (base 14) in base 3?
-10121010110000
Convert 103312244 (base 5) to base 12.
1971a8
10000001000011111111 (base 2) to base 6
15155223
d5ba (base 15) to base 5
2421200
What is 88a394 (base 15) in base 16?
636784
Convert 145443305 (base 6) to base 10.
3069689
-101010010001110000 (base 2) to base 3
-22210112122
100011110011001100111 (base 2) to base 6
41050555
Convert -30558016 (base 9) to base 12.
-4b00bb0
Convert -21761033 (base 9) to base 15.
-dd629c
Convert -426015 (base 8) to base 14.
-39c3b
Convert -4231411304 (base 5) to base 10.
-8857079
What is -356894 (base 11) in base 10?
-565415
What is 1da66c (base 15) in base 11?
902489
-23220322013 (base 4) to base 7
-34635314
Convert 16422166 (base 7) to base 12.
65328a
What is -118421 (base 10) in base 6?
-2312125
214453031 (base 6) to base 7
44562301
What is -dbd1 (base 15) in base 11?
-31a75
Convert 156821 (base 12) to base 5.
43122212
14213234 (base 5) to base 14
3bcb6
Convert -22bc5 (base 14) to base 10.
-84649
What is 1a782a (base 13) in base 8?
2443606
Convert 1220120001 (base 3) to base 10.
37585
Convert -1010011001001000010110 (base 2) to base 5.
-1144134444
What is -101002020222110 (base 3) in base 11?
-3030215
-2db39 (base 16) to base 2
-101101101100111001
Convert 389716 (base 10) to base 15.
7a711
What is -2c937f (base 16) in base 13?
-7b3909
What is 1373065 (base 8) in base 2?
1011111011000110101
-2c54c (base 15) to base 10
-142947
188511 (base 9) to base 4
130300120
Convert 1245334053 (base 6) to base 11.
8401039
Convert 666053 (base 9) to base 3.
202020001210
10266316 (base 10) to base 8
47123314
2175145 (base 10) to base 9
4074657
What is 59ea6 (base 15) in base 4?
1012001112
Convert -120658 (base 13) to base 9.
-724144
Convert 772b1 (base 13) to base 3.
101222000011
-4431103 (base 6) to base 4
-312022233
What is -10011100011011001 (base 2) in base 9?
-131767
-247467 (base 15) to base 3
-10021200212221
Convert -1110111010100000010 (base 2) to base 11.
-304199
-3541254 (base 8) to base 13
-27b3ba
What is -23311001131 (base 4) in base 8?
-13650135
What is -110021101202222 (base 3) in base 2?
-11000111000100000110001
Convert 1d6b (base 15) to base 6.
45345
What is 482f96 (base 16) in base 5?
2202341044
Convert 102001111 (base 3) to base 4.
1331323
What is 354b1 (base 13) in base 5?
11104423
Convert 1010132121102 (base 4) to base 9.
36688146
Convert 1204163 (base 8) to base 6.
11023015
Convert -88d83 (base 15) to base 14.
-b478c
Convert 68a898 (base 15) to base 5.
2234400233
1323033221 (base 4) to base 7
4201514
Convert -342742 (base 11) to base 14.
-102a00
10201201010221 (base 3) to base 9
3651127
What is 3965a93 (base 13) in base 14?
256a06d
Convert -222112222220 (base 3) to base 2.
-1111111100111000010
-959724 (base 11) to base 12
-620738
Convert -860250 (base 9) to base 8.
-1747735
What is -20120112200 (base 3) in base 4?
-133212111
-6880 (base 16) to base 10
-26752
2a3e61 (base 16) to base 3
12012122122100
Convert 2554225 (base 8) to base 16.
ad895
Convert -12451011 (base 6) to base 12.
-179a67
-251530050 (base 6) to base 5
-2220121431
-3445303 (base 6) to base 2
-101011010100100111
Convert -22633a (base 16) to base 14.
-429414
Convert 1164a03 (base 12) to base 13.
90ba72
Convert -253192 (base 11) to base 14.
-a5854
17662615 (base 8) to base 7
50213006
32c8c6 (base 13) to base 16
124b1f
What is -547318 (base 10) in base 4?
-2011213312
What is -1a900 (base 11) in base 10?
-29040
-1100010000010111100001 (base 2) to base 3
-20001020002110
What is 75701 (base 15) in base | {
"pile_set_name": "DM Mathematics"
} |
(-14)). Suppose -3*j = -b*j. Suppose 7*y - 4 = 6*y. Solve j = -0*k - y*k for k.
0
Let u = -2 - -7. Solve -2 + u = 3*m for m.
1
Let w be 4/(-18) + 12/54. Suppose 4*m + r - 7 = 0, 4*r - r + 5 = m. Solve -m*s = -w*s - 10 for s.
5
Let s(b) = -3*b**3 + 2*b**2 + b. Let l be s(2). Let t be (-6)/l - 22/(-14). Solve 4 = 3*k - t*k for k.
4
Let n(u) = 2 - 1 + 2*u - u. Let c be n(2). Let q(z) = z**2 - 4*z + 3. Let a be q(c). Solve -l + 3 = -a*l for l.
3
Let t(z) = -z + 5. Let d(v) = -2*v - 1. Let i be d(-2). Let u be t(i). Suppose -u*o + 5 = -5. Solve -2 = o*r + 8 for r.
-2
Let t = -6 - -10. Suppose -i + t*i - 12 = 0. Let r be (-2)/(-8) - 14/(-8). Solve 0 = r*z + 2*z + i for z.
-1
Let r(u) = -u**2 + 11*u + 3. Let j = 21 - 10. Let v be r(j). Solve -2*a - 13 = -v for a.
-5
Let l(m) = -m**2 - 10*m + 2. Let p be l(-10). Suppose 2*j = -2*j + 16. Solve -j*i + p*i = -8 for i.
4
Let k = -49 + 77. Suppose -3*z + k = -8. Solve -3*m = m + z for m.
-3
Let h = -9 - -13. Solve l + 15 = h*l for l.
5
Let l be (12/(-8))/(6/16). Let x be 0 + -1 + (l - -13). Let u be 3/15 + (-3)/15. Solve 5*t - t + x = u for t.
-2
Suppose 0 = -4*i - 3*r + 39, -2*i + 0*r + 17 = -r. Solve -4*l - 15 = -i*l for l.
3
Suppose 2*f + 24 = 3*f. Suppose 4*g + f = 8*g. Suppose -3*z = 2*z + 3*c - g, 4*z = -4*c + 8. Solve 5*w - 3 + 13 = z for w.
-2
Suppose 3*g - 24 + 15 = 0. Solve 0*i = -i + g for i.
3
Suppose 0 - 10 = -5*u. Solve x + x = u for x.
1
Let z = -33 + 15. Let j = z - -13. Let r = 17 + j. Solve 0 = -5*l - r - 8 for l.
-4
Suppose -6*x + 15 = -3*x. Let b be 1/(-1) - (0 - x). Solve 8*c - 20 = b*c for c.
5
Let r(f) = -2*f + f + 2 - 3. Let l(d) = 2*d + 1. Let g(w) = 6*l(w) + 5*r(w). Let k be g(1). Solve -b - k = b for b.
-4
Let n(g) = -g - 23. Let x be n(-26). Solve k - 1 + x = 0 for k.
-2
Suppose -7*y + 2*y + 40 = 0. Solve -y = p - 5*p for p.
2
Suppose l - 43 = -5*i + 17, 50 = 5*i + 3*l. Suppose -7 = -5*a + i. Solve -y = a*y + 5 for y.
-1
Suppose -3*j + 40 = j. Let z = 141 + -140. Solve 3*l = j - z for l.
3
Suppose 2*q = -d + 8, 0 = 4*d - 3*q + 4 - 25. Let t = d + -1. Solve 5 + t = 2*o for o.
5
Let o = 13 + -13. Solve -a = -o + 4 for a.
-4
Let d = 5 - 2. Solve -2*r = 5 + d for r.
-4
Let y(l) be the second derivative of -l**4/12 - l**3/6 + 2*l**2 + l. Let o be y(0). Let b be 2/8 + 23/4. Solve -b = -7*k + o*k for k.
2
Let x(s) be the first derivative of -s**2 - 2*s + 1. Let f be x(-5). Solve 0 = f*y - 6*y + 6 for y.
-3
Suppose y + 4*w = 12, 5*w = 5*y + 3 + 12. Solve y = -2*v + 4 for v.
2
Let h(y) = -y - 1. Let p be h(-4). Let u(g) = -g**2 + g + 4. Let f be u(0). Let n(k) = k**3 - 4*k**2 + k - 2. Let l be n(f). Solve a - l = p*a for a.
-1
Suppose 4*m - 3 = 1. Let d be 6/(-4)*(-3 + m). Suppose 3*h = 3, -p = h - 9 + d. Solve -p*s = -2*s - 6 for s.
2
Let m = -69 + 79. Solve 5*o + m = -0*o for o.
-2
Suppose 6*z - 3*z = 0. Solve -5*j + 3*j + 4 = z for j.
2
Suppose 0 = 2*m + p, m + 3*m = -3*p + 4. Let j = m - -3. Suppose 2*g - 1 = j. Solve 0 = a - g for a.
1
Suppose 4*l - 10 = r - 2*r, 2*l - 8 = -2*r. Let h be 3 - (4 - (6 - l)). Let v(u) = 2*u - 6. Let k be v(6). Solve -h*g = -k*g + 15 for g.
5
Let t be (2/(-3))/(1/(-6)). Suppose 2*w + 5*l + 0*l - 1 = 0, 3*w + 11 = 5*l. Let i = t + w. Solve -f - i*f = -3 for f.
1
Let h be (-6*(-4)/16 + -2)*-4. Solve -h = -j + 3*j for j.
-1
Let b = -35 + 65. Suppose 4*l = 5*s - b, 6 = -l + 1. Solve 2*n + s = -0*n for n.
-1
Let n(j) = j**2 + 6*j + 2. Let t(k) = -4*k**2 - 25*k - 9. Let z(u) = 9*n(u) + 2*t(u). Let w be z(-4). Let d = w - 0. Solve 0 = a - d*a for a.
0
Let h(j) = j**3 - j**2 - j + 1. Let c be h(1). Solve -2*x - 2*x + 20 = c for x.
5
Suppose 0 = 2*p - 4*x - x + 9, -2*x = -p - 3. Solve 0 = p*n + n + 8 for n.
-2
Let p(t) = 2*t. Let h be p(0). Solve 5*z + 16 + 4 = h for z.
-4
Let s = -1 + 1. Suppose 0 = -3*b + 5*n - 12, -4*b + 3*n = -s*b + 5. Solve 0 = -o + 5 - b for o.
4
Suppose -i - 40 = -5*y + 2*i, -4*y = -4*i - 40. Let l = y - 3. Solve -l*b = -4 - 6 for b.
5
Suppose 4*b - 11 = -g, -4*g = -0*g - b + 41. Let y be ((-3)/9)/((-3)/g). Let j be 2/(-1)*(y + 0). Solve -d = -6 + j for d.
4
Let f(o) = -o**3 - o**2. Let d be f(-2). Suppose 5*u = d*u. Let j = 40 + -22. Solve -4*q - 2 + j = u for q.
4
Let q = 41 - 38. Solve 16 = -q*a - a for a.
-4
Suppose 2*s + q = 6, 0*s - 5*q + 6 = 4*s. Let r be s - (2/(-2) - -2). Suppose 2*b = 2*g - 20, -r*g - 3*b - 20 = -4*g. Solve -g*v + 21 = -4 for v.
5
Let j(k) = k + 70. Let i(y) = -y**2 + y + 2. Let o be i(2). Let p be j(o). Suppose 0 = -u + 6*u - p. Solve u + 1 = 5*n for n.
3
Suppose -5*q + 15 + 8 = y, -3*q - y = -15. Suppose q*k - 17 = -1. Let h be -3*(14/(-6) + 2). Solve -5 + h = k*u for u.
-1
Let v be (1 - 1 - 3)/(1/(-1)). Solve 0 = 4*o + v + 1 for o.
-1
Suppose -11 = -t - 8. Solve -t = -b + 2 for b.
5
Suppose -10 = -9*k + 4*k. Suppose -4*h - 25 - 5 = -5*v, -4*h = -k*v + 12. Suppose 0*i - 2*n + 77 = 5*i, 12 = i - 3*n. Solve -3*j - i = -v*j for j.
5
Let f(w) = w**2 + 15*w. Let j be f(-15). Solve j*t = -5*t - 25 for t.
-5
Let f(w) = w + 3. Let a be f(0). Solve 2*s - a = 7 for s.
5
Suppose 7*h - 6 = 5*h. Suppose 5*d = 5*j + 30, 2*d + j = 7*d - 14. Solve c = d*c - h for c.
3
Let z(p) = 2*p**2 + 11*p + 8. Let x be z(-9). Suppose -h = 2*g - 11, 2*g = -6*h + h + x. Let o(r) = 2*r**2 - 2*r + 1. Let d be o(2). Solve d*v + h = 2*v for v.
-5
Let p(z) = -z**2 + 9*z - 4. Let n(m) = -4*m - 4. Let v be n(-3). Let d be p(v). Solve d*l = l - 3 for l.
-1
Let n be -3 + (-5)/((-10)/(-4)). Let q = n + -5. Let o(y) = -y**2 - 9*y + 13. Let v be o(q). Solve -2*t - t + v = 0 for t.
1
Suppose 0 = 2*k - k - 3. Solve -u + k = 8 for u.
-5
Let d be (1/1 - -2)/1. Let n be 0 + (-6)/d - -3. Let l be (0 - n/5)*-5. Solve -3 = -2*x + l for x.
2
Suppose 0 = -4*f + 2*j + 16, -f + 4*f = 4*j + 7. Solve f*o = 3*o for o.
0
Let m = 98 - 89. Solve -m*u = -4*u + 10 for u.
-2
Let b(v) = v**2 - 3*v + 2. Let a be b(3). Solve 0 = a*y - 0*y - 2 for y.
1
Let h(g) = 3*g - 6. Let s be h(2). Solve -4 = 2*i - s*i for i.
-2
Suppose -2*m + 5*l - 5 = 0, 2*m + 3*l - 3 = m. Suppose 6 = t - m. Let u(g) = -g**3 + 5*g**2 + 7*g - 4. Let w be u(t). Solve w*v = -v - 3 for v.
-1
Let v be (4/(-6))/(18/(-405)). Solve -6*m + 3*m = v for m.
-5
Suppose -j = 5*p + 23, 4*j + 2 + 10 = -4*p. Let k = -6 + 6. Solve 2*b + 8 - j = k for b.
-3
Let j(v) = -2*v - 3. Let x be j(-4). Suppose -2*q + 15 + 6 = x*a, -2*q + 6 = 0. Let r be 3 + 0 + (2 - 2). Solve -a*p + r = -4*p for p.
-3
Suppose 11 = 5*s - 4. Suppose 0 = -4*i + 13 - 1. Let b be 0/(-1) + i + -1. Solve -m - s = -b*m for m.
3
Suppose h - 2*h = 6. Let v(u) = -u**3 - 6*u**2 - u - 6. Let g be v(h). Solve t + 4*t - 15 = g for t.
3
Suppose 0 = 2*g - 4*q - 46, -g + 0*g - 2*q + 43 = 0. Suppose c - 3*w - 20 = 7, 3*w = -4*c + g. Suppose 0*r = 4*r - c. Solve h - 4 = r*h for h.
-2
Let g(z) = z**2 - 2*z - 2. Let b be g(4). Suppose -2*w - 3*w + 20 = 0. Solve 2*t - b*t = w for t.
-1
Suppose 2*h + 2*h - 20 = 0. Suppose -9*n = -4*n - 10. Solve h = 3*g + n for g.
1
Suppose -4*i = -0*i - 20. Suppose -d - i*x - 10 = 0, -d - 32 = -5*d + 4*x. Suppose l = 5*a + 23, 3*a - d*a = 5*l - 61. Solve -l = -5*n + 7 for n.
4
Suppose 4*g - 29 = -x - 2*x, -3*x = -g - 4. Let a be (-4)/(-6) - 4/(-3). Suppose u - 2 = -a*v, -3*v - x*u = 2*u - 10. Solve v = -2*o - 3*o for o.
0
Let g(j) = -j**2 - 4*j - 10. Let f(w) = -w**2 - 5*w - 9. Let l(t) = 3*f(t) - 2*g(t). Let y be l(-5). Solve 4*k + 11 - y = 0 for k.
-2
Let v = 16 - 14. Suppose -v*t + 6*t = 0. Solve 3*l = 15 - t for l.
5
Let h be -30*((-12)/5 - -2). Let j be h/(-7)*(-14)/4. Solve -5*k - j = -16 for k.
2
Let u = -13 + 17. Solve 5*r + u = 3*r for r.
-2
Let o(g) = 2*g**3 + 2*g**2 - 2*g + 1. Let q be o(1). Suppose -3*f + 5 = -5*v + 25, -2*f = -q*v + 12. Solve -v*w + 5 = -3*w for w.
5
Suppose 1 = -3*r + 7. Solve -2*d + 4 = r*d for d.
1
Let s = 2 - -1. Let b be s/2*4/3. Solve b*y - 7*y - 5 = 0 for y.
-1
Let s be (-8)/(-2) + (-1 - 1). Solve -2*i + s - 12 = 0 for i.
-5
Let x = -8 - -14. Let j = x - 6. Let r be ((j - 0)/2)/1. Solve 2*l + 10 = -r*l for l.
-5
Suppose 5*j - 12 = 53. Solve -2 = 5*d + j for d.
-3
Let k be (-1)/(-6) + 2/(-12). Let h = -3 - 0. Let z be h/(17/10 + -2). Solve k*g - 5*g + z = 0 for g.
2
Let m be ((-8)/(-3) - 2)*3. Let k = 5 - m. Let i be k/9*(-18)/(-3). Solve -2*p + 2 = -i for p.
2
Let a be 2/(-4) - (-85)/10. Solve 4 | {
"pile_set_name": "DM Mathematics"
} |
culate the common denominator of ((-8)/(-24))/((-5)/(-145)) and x.
15
Let o = 10 - 7. Let i = -17 + 12. What is the common denominator of (o/i)/(2/18) and -17/6?
30
Find the common denominator of -73/20 and (-2)/(-14) + (-379)/(-42) + -5.
60
Let x(r) = r**2 + 8*r + 17. Let m = 22 - 29. Calculate the least common multiple of 7 and x(m).
70
Let r = 63 - 53. Calculate the common denominator of 58/21 and 4879/(-210) - 6/r.
42
Let v = 20 + -8. Suppose 95 - 93 = -c, 2*c - 26 = -5*n. Calculate the least common multiple of v and n.
12
Let r(v) = 12*v + 693. Calculate the lowest common multiple of 108 and r(-48).
1404
Suppose -p + 6*p = 25. Suppose -q - 3*z + 60 = 4*q, 2*q + p*z - 24 = 0. What is the smallest common multiple of 8 and q?
24
Let l = 66 + -65. What is the smallest common multiple of ((-2)/(-8) - l)/((-2)/16) and 5?
30
Suppose 3*g + 33 = 3*h, -2*h + 5*g + 30 = 5. Calculate the smallest common multiple of h and 28/6 + (-14)/21.
20
Let o = 4265/7 + -47006/77. Let r = -4343/4 + 1094. What is the common denominator of o and r?
44
Let b = -930290/3268881 + -2/36729. Calculate the common denominator of -62/33 and b.
2937
Suppose 0*g + 4*g = 6148. Let z = g + -30753/20. What is the common denominator of -69/16 and z?
80
Let n = -2/4072758765563 - 5324661596808265895797/1792013856847720. Let p = n - -2971327. Let q = p + 45/88. What is the common denominator of 127/12 and q?
60
What is the common denominator of 19/396 and (-22)/(7744/(-1740)) + -6?
792
Suppose -2*k + 3*k - 60 = 0. Suppose 5*q - 4*q = 3. Suppose -5*l + 15 = 5*y, q*y - 8*l - 17 = -3*l. What is the least common multiple of k and y?
60
Suppose 4*k - 5*k = -51. Suppose p + 3*w = -2*p + k, p - 11 = -3*w. Calculate the lowest common multiple of p and 24.
120
Suppose 2*b = -6*b + 104. Calculate the common denominator of -121/24 and b/10 + (-15)/(-15).
120
Suppose 2*t + 16 = -2*h, -2*h - 3*t + 6 = -4*h. Let q be h/(-2)*3/(-69). Let x = 787/138 - q. Calculate the common denominator of 25 and x.
6
Let w be 3/(105/25 - 4). Suppose 2*g = 55 + w. Find the common denominator of -11/7 and g.
7
Let y = 21353/840 - 178/7. Calculate the common denominator of y and -71/192.
960
Suppose 12 = 4*m - 2*m. Suppose 4*g + 54 = m*g. What is the least common multiple of 12 and g?
108
Calculate the lowest common multiple of (((-7296)/9)/(-16))/(1/18) and 22.
10032
Let r be (1 + -2)/(3/72). Let d = 1/15289 - 1207857/397514. Find the common denominator of (2/r)/((-10)/1660) and d.
78
Let y = -9 + 17. Calculate the smallest common multiple of y and ((-3)/(-9))/((-13)/(-936)*12).
8
Suppose -2*k + 351 = k. Find the common denominator of (22/55)/((-8)/(-113)) and ((-3)/k)/(4/6).
260
What is the lowest common multiple of 6 and ((-140)/32*2)/(7/(-28))?
210
Let i(b) = 4*b**2 - 38*b - 14. Calculate the least common multiple of i(11) and 140.
1820
Let q be ((-14377)/(-3690))/(4/12). Let h = 7/615 + q. What is the common denominator of h and -47/14?
70
Let q(p) = 5*p - 68. What is the least common multiple of 744/42 + 4/14 and q(16)?
36
Let x be (-15)/(-20)*(-8)/(-3). Let q = 18 - x. Calculate the lowest common multiple of 4*((-2*2)/(-4) - -2) and q.
48
What is the common denominator of -41/56 and (-515)/55*(2 - 116/56)?
616
Let m = 100 - 190. Find the common denominator of 91/18 and -2 - 3/m*53.
90
Let q be (0 + (-1 - 2 - -2))*-4. Let i(r) = r + 2. What is the least common multiple of 2 and i(q)?
6
Let n = -26 - -32. Calculate the least common multiple of ((-3)/6)/(n/(-324)) and 27.
27
Let z = 1163 - 915. What is the smallest common multiple of 20 and z?
1240
Suppose -420 = -34*i + 28*i. What is the lowest common multiple of i and 28?
140
Let s be (-140)/(-30)*1*12. Let a = s + -49. What is the smallest common multiple of 5 and a?
35
Let c = 6/415 + 60139/2490. Let y = 24376 + -243443/10. Let r = y - 152/5. What is the common denominator of r and c?
30
What is the least common multiple of 15 and 2/5*((-145)/(-10) - 2)?
15
Let z = -7527/8 - -949. Let n = -29/49 - -8/49. Find the common denominator of n and z.
56
Let w = 145 + -11735/81. What is the common denominator of 79/63 and w?
567
Suppose 63*q - 64 = 47*q. What is the least common multiple of 20 and q?
20
Let z(s) be the first derivative of s**3/3 - 11*s**2/2 - 3*s + 2. Calculate the lowest common multiple of z(12) and 6.
18
Suppose -3*u + u + 28 = 0. Let v(f) = 2*f + 8. What is the lowest common multiple of u and v(7)?
154
Find the common denominator of (18/32)/((-105)/(-180)*-8) and 99/196.
1568
Let q = 15344 - 1242902/81. What is the common denominator of 83/18 and q?
162
What is the common denominator of -4/55 and 99264/61710 + (-4)/10 + -1?
935
Suppose -x - 5*m - 4 = 0, 0 = -5*x + 2*x + 2*m + 5. Let c = -384 - -396. Calculate the smallest common multiple of c and x.
12
Suppose 4*i - 242 = -22. Let g = 469/8 - i. Calculate the common denominator of (-117)/(-12)*(-21)/(-9) and g.
8
Let n = 367/18 + -248/9. What is the common denominator of 143/42 and n?
42
Suppose 1 = -5*c - 34. Let v(x) = x**2 + 7*x + 8. Let a be v(c). Find the common denominator of a/60 - (-2337)/(-990) and -39/20.
220
Let g(u) = 38*u**3 + 3*u**2 - 13*u - 4. What is the smallest common multiple of g(3) and 2?
1010
Suppose r + 54 = -r. Let y be (-151)/(-3)*r/(-90). Let g = -15 + y. Calculate the common denominator of g and 37.
10
Let t(i) = -i**3 - i**2 + i - 56. Let s be t(0). Let u = -36 - s. Calculate the lowest common multiple of 4 and u.
20
Suppose 95 + 24 = 5*v - l, 5*l + 43 = 2*v. Calculate the lowest common multiple of v and 8.
24
Suppose u - 23 = 13. What is the least common multiple of u and (-4 + 4 - 2)/2 + 30 + 3?
288
Let h = -101442258329/15784170885 + 13/33090505. Let r = 14/795 - h. Let t = -1487/7 - -213. Find the common denominator of t and r.
63
Let c = -900 - -3663/4. Find the common denominator of c and 93/22.
44
Let s be -65*7/(35/(-4)). Let v = -644 + 12877/20. What is the common denominator of v and ((-105)/24 + 4)*s?
20
What is the common denominator of (5/66)/((-1)/27) and 504/352 - 4/(-96)*6?
22
Calculate the common denominator of (-64)/(-280)*(-720)/54 and (-2)/(-2) + 34/3.
21
Suppose 0 = 5*p - 163 - 187. What is the common denominator of (-2)/35*5 + 258/p and -93/20?
20
Let n be (9/27)/(2/(-42)). Let p = n - -23. Let b = 1 + 1. Calculate the lowest common multiple of b and p.
16
What is the common denominator of (106/(-108))/(-8 + 9 + -6) and -103/144?
2160
Suppose -2*o = -o - 3. Suppose 4*x = o + 9. Calculate the lowest common multiple of x/(0 - 3/(-4)) and 1.
4
Suppose 0 = 5*l - r - 1, l + 2 = -l + r. Let v be (-78)/(-18) + l/(-3). Find the common denominator of v/(-10) - 382/120 and 27/4.
12
Suppose 0 = -2*r + 4*f + 18, -101 + 88 = -r + 3*f. What is the least common multiple of r and 37?
37
Let q(k) = k**3 + 2*k**2 - 5*k + 1. Let r be q(-4). Let z = -10 - r. What is the least common multiple of z and (-1)/((-4)/(1 - -3))?
1
Find the common denominator of -139/726 and -1 - 13/(14300/(-2370)).
3630
Let v be (-16)/2 - (9 - 12). Let i = 9 + v. Suppose -3*q + 5*g + 0*g + 41 = 0, 0 = i*q + 2*g - 98. What is the smallest common multiple of q and 6?
66
Let k(s) = -s**3 - 17*s**2 - 7*s - 53. What is the lowest common multiple of 8 and k(-17)?
264
Suppose -170 = -5*s - 5*n, 25*s + 5*n + 70 = 28*s. What is the lowest common multiple of 76 and s?
1140
Suppose -2*y = -2*g + 5 + 11, g - 5*y - 16 = 0. Calculate the smallest common multiple of 6/1*(g + 2 + -3) and 25.
150
What is the common denominator of 79/42 and (-2)/8 + (11 - (-10402)/(-1176))?
42
Calculate the smallest common multiple of (-10)/(-1)*10 + (-235 - -234) and 99.
99
Let a(c) = -12*c + 2. Let v be a(5). Calculate the smallest common multiple of (-2)/9 - v/18 and 11.
33
Suppose 3*c + 142 = 4*s, -5 = 2*c + 4*s + 123. Let v = -9 - c. What is the lowest common multiple of 3 and v?
45
Let q = 9/457 + -109376/7769. Let j = -15/34 + q. Calculate the common denominator of j and 0 + 2/(-15) + 14846/(-780).
6
Calculate the common denominator of -53/9 and (-1460)/(-30)*1/2.
9
Suppose -d = -2*b - 5*d - 48, 0 = 2*b - 5*d + 57. Let a be -353*1*13/b. Let n = 171 - a. Find the common denominator of n and 43/28.
28
Let z = -4 - -9. Suppose -v - 3*v = 3*a + 4, z*a - v = -22. Calculate the common denominator of -15/7 and 1 - -1 | {
"pile_set_name": "DM Mathematics"
} |
= -238 - -768. Is 7 a factor of v?
False
Does 19 divide (5 - 5/15*3) + 153?
False
Let q(c) = -c**2 - 6*c + 3. Let f be q(-6). Let i be (13/(-2))/((410/420)/(-41)). Suppose 0 = 5*k - f*n - i, 0 = k + n + 8 - 61. Does 27 divide k?
True
Let f(m) = -m**3 - 15*m**2 - m - 15. Let w be f(-15). Suppose 3*n - n = w. Suppose 2*u - 2*x = 188, -5*u + n*x + 476 = -2*x. Is 32 a factor of u?
True
Suppose -10*j + 17719 = 19*j. Does 13 divide j?
True
Let y = -122 - -212. Is y a multiple of 4?
False
Suppose 2*d + 3*d = 0. Suppose d = k - 5*q + 5, -2*k - 2*q = -6*k + 34. Suppose -k = -0*g - 2*g. Does 5 divide g?
True
Suppose 20*c = 22*c. Suppose -4*i + 3*i + 166 = c. Does 9 divide i?
False
Suppose 4*d - 360 = -4*s, 8*s - 460 = -5*d + 5*s. Does 14 divide d?
False
Let q = -26 - -34. Suppose 0 = q*p - 144 - 176. Does 10 divide p?
True
Let p(x) = 9*x**2 - 7*x - 12. Let c be p(-4). Let k = c - 64. Is k a multiple of 8?
True
Let t be 1/8*-6 - (-9)/12. Suppose 3*p = -m - t*p + 15, 3*p = 5*m - 129. Is m a multiple of 3?
True
Let j(a) = 7*a**2 - 20*a + 9. Let w(f) = 6*f**2 - 19*f + 10. Let i(t) = 5*j(t) - 6*w(t). Is 2 a factor of i(12)?
False
Suppose -6*l + 5073 = -3873. Is l a multiple of 101?
False
Let t = -20 + 23. Suppose -u + 2*u = -4, t*u + 108 = 2*g. Is 24 a factor of g?
True
Let p(a) = 3*a**3 + 4*a**2 - 7*a + 5. Suppose -3*m - 81 = -2*c, 5*c = 5*m + 10 + 185. Let f be -4*(-3)/c*6. Does 14 divide p(f)?
False
Suppose -1221 - 10161 = -7*w. Is 6 a factor of w?
True
Let d = 14 + -10. Suppose -12 = -d*y, -2*p + 3*y + 111 = -p. Is 12 a factor of p?
True
Suppose 1 + 5 = 2*s. Suppose -5*f + 53 = -s*f - 5*z, -48 = -3*f - 3*z. Does 19 divide f?
True
Let a = -9 + 9. Suppose a*q = -3*q + 90. Does 22 divide q?
False
Let j be (-5 + 1)*26/8. Let d(p) = -7*p - 10. Is d(j) a multiple of 42?
False
Suppose -3*f = -8*f + 140. Let p = f + 62. Suppose -4*x - p = -7*x. Is 15 a factor of x?
True
Suppose 2*g - 1 = 5. Suppose -6*j + 45 = -g*j. Is 3 a factor of j?
True
Suppose -11*p - 2 = -12*p. Let h(c) = 2*c**3 + 5*c**2 - 8*c + 6. Let a(g) = g**3 - g + 1. Let t(k) = -3*a(k) + h(k). Is t(p) even?
False
Let t(q) = 16*q**2 + 33*q - 10 - 7*q**2 - 11*q**2 + 2*q. Does 10 divide t(10)?
True
Suppose -4*f + 777 + 135 = 4*g, 4*f = 4*g + 944. Suppose 5*d - f + 52 = 0. Does 5 divide d?
False
Let h(o) = -35*o + 16. Let l be (-1)/(-1 - -4)*15. Is h(l) a multiple of 14?
False
Let n = 27 + 3. Let z be 12/n + (-16)/(-10). Suppose -u - 3 = -z*u. Does 2 divide u?
False
Let g = -3 - -1. Let m be 173 - (1 + g*2). Suppose -2*w - 64 = -3*w + d, -d + m = 3*w. Is 16 a factor of w?
False
Let v = 79 - 128. Let k be (v + -2)*2/6. Let i = k + 29. Does 5 divide i?
False
Suppose 2*l - 35 = -3*o - 2*l, -o = -l. Suppose -45 + 143 = 3*c + b, -o*c + b = -150. Is c a multiple of 11?
False
Let h(z) = 6*z + 48. Let p be h(-8). Does 7 divide (3 + -2)/(4/84 + p)?
True
Let y be -2*17/2*-11. Suppose -9*s + 434 = -y. Is 23 a factor of s?
True
Let n = -29 + 34. Suppose -q = 4*g - n*q - 536, 0 = -2*g + q + 265. Suppose 0 = 5*d - v - g, 4 - 15 = -d + 4*v. Is d a multiple of 8?
False
Let l(j) = -3*j**3 - 2*j**2 + 8*j - 4. Let a(u) = -5*u**3 - 4*u**2 + 15*u - 7. Let n(z) = 4*a(z) - 7*l(z). Is n(3) a multiple of 10?
False
Let d = 1417 + -1382. Is d a multiple of 7?
True
Suppose 4*c = j + 2543, -582 - 1322 = -3*c + 4*j. Is 12 a factor of c?
True
Let u(d) = -d**2 + 7*d - 4. Let r be u(6). Let l be ((-4)/(-1) + 2)/r. Suppose -111 = -l*x - 3. Is 18 a factor of x?
True
Let y = 6 - 4. Suppose -35 = -7*a + y*a. Suppose -10*i = -a*i - 42. Is 9 a factor of i?
False
Let o(z) = -8*z - 26. Let t be 69/(-12) - ((-9)/(-4) + -2). Is o(t) a multiple of 14?
False
Suppose 4*j - 2*j - 30 = -3*d, d = 5*j - 7. Is d even?
True
Suppose -i = 3*t + 4, -42 = 5*i - i - t. Let z = i - -2. Let s = 4 - z. Is 4 a factor of s?
True
Suppose 960 = -372*t + 374*t. Does 25 divide t?
False
Let p = 112 - 56. Let t = p + 13. Does 19 divide t?
False
Suppose -1150 = -41*r + 16*r. Is r a multiple of 8?
False
Let g(w) = -w**3 + 3*w**2 - 2. Let t be g(3). Let p be (5*2)/((-4)/t). Suppose 0 = -p*f, 4*d + 0*f - 156 = 5*f. Does 12 divide d?
False
Suppose 0 = -7*w - 7*w + 6496. Does 29 divide w?
True
Let w(p) = p**3 + 16*p**2 - 19*p - 37. Let n(x) = -x - 5. Let f be n(11). Does 20 divide w(f)?
False
Suppose 170 + 100 = 2*z. Let p = 146 - 65. Let b = z - p. Is 15 a factor of b?
False
Let s(g) = 6*g - 16. Let m be s(13). Is 43 a factor of m*-2*4/(-8)?
False
Let h = 3 + 1. Suppose 0 = -4*g - 2*t, 2*g - 2*t + h = 16. Suppose -222 = -4*m + 3*j, 0*m - g*m + 5*j + 104 = 0. Is 29 a factor of m?
False
Let k = 2 - -1. Suppose 168 = 6*s - k*s. Does 11 divide s?
False
Let z(m) = 6*m + 32. Let n be z(-6). Let d(k) = -k**3 + 2*k**2 + 4. Does 24 divide d(n)?
False
Let l(c) = c**2 - 13*c + 84. Does 35 divide l(27)?
False
Let b be (2 + 4/(-2))/(-2 - -4). Suppose 0 = i + 5*q - 45, b = 3*q + q - 8. Is i a multiple of 12?
False
Let d be (-3)/(-6) + (-7)/(-2). Suppose 5*u = d*u + 56. Is 28 a factor of u?
True
Suppose 3*n + n = -1136. Let r = -119 - n. Is r a multiple of 16?
False
Let q be (-225)/(-2) - (-3)/6. Suppose -2*s - z + q = 0, -z = -3*s - 4*z + 165. Is 23 a factor of s?
False
Let j(b) = -b**3 - 7*b**2 - 14*b - 14. Is j(-11) a multiple of 48?
True
Let b(w) be the third derivative of w**6/60 + w**5/60 - w**4/8 + w**3/6 - 3*w**2. Let u(c) = -c - 5. Let v be u(-8). Is 22 a factor of b(v)?
False
Let t(u) = -3*u**3 - 2*u**2 + 5. Let j be t(-3). Suppose 11*q = -j + 552. Is 11 a factor of q?
True
Suppose -6*b - 477 = -9*b. Let i = b + -84. Is i a multiple of 13?
False
Let p(g) be the third derivative of -g**5/30 + 9*g**4/8 + 10*g**3/3 - 11*g**2. Does 3 divide p(14)?
True
Let v be (-1 + 0)*(-4 + 2). Let i be v/6 - 20/6. Is 63/(-2)*4/i a multiple of 23?
False
Let h = 921 + -622. Is h a multiple of 13?
True
Let y = 1 + 4. Suppose 3*j - y = -2*j. Does 3 divide -13*j*(1 - 2)?
False
Let p(x) = -x**3 + 7*x**2 + x - 7. Let t be p(7). Suppose t*w - 29 = -w. Is 8 a factor of w?
False
Suppose -t + 0*t + 2*a = 2, -55 = -5*t - 3*a. Suppose -2*y = -3*y - t. Does 4 divide y/(-2)*60/16?
False
Suppose -176*o = -163*o - 25662. Is 14 a factor of o?
True
Is 53 a factor of (-6)/(-14) + (-10560)/(-252)*36?
False
Suppose 5*z - 5*d - 7526 = 4429, 0 = 3*z + 3*d - 7179. Is z a multiple of 20?
False
Let y(t) = t**2 + 6*t - 6. Let f be y(-7). Let k be (-5)/(5/f) + 3. Let i = 27 - k. Does 14 divide i?
False
Let z(d) = d**3 + d**2 - 4*d - 8. Let p be z(-2). Is 14 a factor of (-181)/p + (-39)/(-52)?
False
Is 2 a factor of (0 + -2)*(-19 - 48/(-8))?
True
Suppose 4*f = -3*z + 827, -30 = -3*z - 2*f + 799. Is 32 a factor of z?
False
Let r(f) = f**3 - 14*f**2 + 27*f + 8. Is r(12) a multiple of 4?
True
Let v(x) = -2*x**2 - 19*x - 9. Let w(k) = k + 1. Let y(z) = -v(z) - 6*w(z). Let d(p) = p**2 - 17*p - 7. Let c be d(17). Does 10 divide y(c)?
True
Suppose -2*j + 128 + 172 = 0. Suppose 0 = -4*d + 722 - j. Is d a multiple of 29?
False
Suppose 8*d = -13*d + 903. Does 3 divide d?
False
Let m(h) = -h**3 - 29*h**2 + 72*h - 87. Is 11 a factor of m(-32)?
False
Suppose 0 = -5*v - 2*q - 0*q + 40, -4*q + 44 = 4*v. Suppose 2*p = 4*p - v. Is 8 - -3*2/p a multiple of 3?
False
Let w = 78 + -374. Is (-10)/25 + (w/10)/(-4) a multiple of 2?
False
Let g(u) = -3*u**3 + 9*u**2 + 7*u + 8. Let w(h) = 2*h**3 - 10*h**2 - 8*h - 7. Suppose -8 - 4 = 3*t. Let s(x) = t*w(x) - 3*g(x). Is s(-12) a multiple of 4?
True
Let m = 13 - 9. Does 19 divide m/((3 + -1)/16)?
False
Suppose u - 68 = -2*k, -4*k = -u + 6 + 44. Let g be (-25)/5*(-1 + 2/10). Suppose -4*x - u = -2*c + x, -5*c - g*x = -221. Is 13 a factor of c?
False
Let p = -40 - -151. Is p a multiple of 37?
True
Let z = -74 + 163. Is z a multiple of 9?
False
Let a be (25 - (2 + -4 - -3)) + -4. Suppose -6*f + 480 = -f + q, -4*q + a = 0. Is 42 a factor of f?
False
Suppose 18*y = 14*y + 1952. Is y a multiple of 45?
False
Let a be (-2 - -3)/(1/9*3). Suppose -407 = a*o - 1355. Is o a multiple of 14?
False
Let z = 39 - 12. Does 19 divide 3*6/z - 184/(-3)?
False
Let s(h) be the second derivative of -h**5/10 - h**4/2 + 2*h**2 - 36*h. Let q be (-3)/(6*(-2)/(-16)). Does 11 divide s(q)?
False
Suppose -4*q - 3*l = -2157, -47*q + 49*q - 5*l = 1059. Does 14 divide q?
False
Let g = 81 - 91. Let n(q) = q**3 + 12*q**2 + 12*q - 8. Is 1 | {
"pile_set_name": "DM Mathematics"
} |
o 0? (a) z (b) 2/7 (c) 2/11
c
Let d(g) = g**3 - g**2 - g + 2. Let i be d(2). Suppose -4 = -2*c + a, -4*c - 2*a - 20 + 28 = 0. What is the nearest to i in 4, -1, c, 5?
4
Let f = 6.5 + 4.5. Let n = f + -12. Let s = 0.857 + 0.143. What is the nearest to -0.2 in s, n, 3?
n
Let a = 238.93 - 239.43. What is the closest to -0.1 in -1/6105, 1, a, 5?
-1/6105
Suppose 971*s - 968*s = 9. Suppose 0 = 11*y + 2 - 90. Which is the closest to -1? (a) s (b) 0.4 (c) y
b
Let r be (-1060)/5565*7/(-6). Let i = 2/163 + -503/1141. Let j = 0.5 + -1. What is the nearest to i in j, r, 3?
j
Let x be 10/(-15)*12 + 360/44. Which is the nearest to -0.3? (a) -0.2 (b) 2/5 (c) x (d) -4
a
Let t = 0.03 + 0.05. Let g = -4.92 - t. Let p(z) = -4319*z + 17278. Let l be p(4). Which is the closest to l? (a) 4/5 (b) g (c) -7
a
Suppose 5*f + 47 - 12 = 0. Let o be -3 - -11 - ((-22 - -44) + -10). What is the nearest to f in 0, o, 4?
o
Let g = -0.14942 - 0.05058. What is the nearest to -1 in g, 1857, -0.5, 0.3?
-0.5
Let u = 8 - 16. Let q = 91.31 - 91.21. What is the closest to -1/3 in u, -1, -2/9, q?
-2/9
Let w = -0.01 + -0.49. Let s = 794.1 + -794. What is the closest to s in -0.32, 4, w?
-0.32
Let a = -4846 - -4843. Let o(b) = 2*b**2 + 3*b - 4. Let q be o(-3). Suppose 4*l - 6 = -2*c, 0 = -q*c - 2*l + 4*l + 3. What is the nearest to c in -1, 2, a?
2
Let b = 9.22 + -0.22. Let z = b + -9.1. Let o be 2/(-4) + 5 + 68/(-16). What is the closest to -1 in z, o, -4?
z
Let z be (-2 - 0)*(-28)/(-42). What is the nearest to -0.3 in 0.73, -0.2, z?
-0.2
Let f = -4970 + 4970. What is the nearest to -18/19 in 5, f, 3/4?
f
Suppose 32 = 42*p - 26*p. Let q be -1 + (4/1 - (p - 1)). What is the closest to q in -3, -0.2, 2, 1?
2
Let z = -0.373 + 0.073. What is the nearest to -1.1 in 2/7, -9/4, z, 1?
z
Let s = -0.2 - -0.7. Let x = s - 1.5. Suppose 3*v - 132*h + 133*h - 87 = 0, 3*v - 3*h - 51 = 0. What is the closest to x in v, -5, 0.5?
0.5
Let y be (3/3)/(-5) - (-1893)/(-10). Let g = y + 192. What is the closest to 1 in 0.4, 0.5, g?
0.5
Let v = 7917 + -7929. What is the nearest to 0.1 in -4, -1/7, v?
-1/7
Suppose 3*g + 4*u = -0*u - 31, 5*g + 2*u + 19 = 0. What is the closest to 700 in -0.2, g, -3?
-0.2
Let m = -5102 - -5166. Let g be 1 - (26/(-195) - (-362)/240). Which is the closest to -2? (a) -5 (b) g (c) m
b
Let n = 31/194 + -791/2522. Which is the closest to -35? (a) n (b) 1 (c) 5
a
Let h be 2 - (-17 - -4 - -1). Let d(v) = 9*v - 1 + h*v - 3 - 25*v. Let y be d(-4). Which is the closest to y? (a) -2/3 (b) -1 (c) -2
a
Let x be (-10)/25 + 4/10. Suppose -3*r + 9 + x = 0. Let z(w) = -w**3 - 14*w**2 + 26*w + 165. Let f be z(-15). What is the closest to 0 in -5, r, f?
f
Let g be ((-12)/135)/((-4)/10). Let p = 109357/8 - 13670. What is the closest to 0 in p, 0.4, g?
g
Let p = -18 + 17.9. Let l = 52/105 + -2/21. What is the closest to p in l, 1/43, 1/6?
1/43
Let x be (48/(-6))/(-2 - -4). Suppose -227 + 202 = -25*t. Let d = 2 + -2. Which is the closest to t? (a) -2/9 (b) x (c) d
c
Let n be 30/(-24)*1986/30. Suppose 0 = -i - 3*i - 332. Let v = i - n. What is the closest to 0.2 in -0.3, 4, v?
v
Let y = -0.082 + 0.113. Let h = -0.569 - y. Which is the closest to h? (a) -2 (b) 0 (c) -1/8
c
Let y = 27318 - 27318. What is the closest to 1 in 7, 0.29, y, 1/3?
1/3
Let v be (-40)/42 + (-2)/(-7). Let r = -74.1 + -351.9. Let i = 433 + r. Which is the closest to v? (a) 4 (b) i (c) 0.1
c
Let h be 1 - 1 - (2 - -1). Let t = -1735 + 1737. What is the nearest to 0.1 in -0.07, t, h?
-0.07
Let z = -183 + 204. Let k be 12/(-28)*-7*(-6)/z. Which is the nearest to -4? (a) k (b) -1/3 (c) 3
a
Let t = 23 - 40. Let x = -18 - t. Which is the closest to x? (a) -2 (b) -5 (c) 2
a
Let f = 0.1 - 0. Let s = -350.84 + 351.24. What is the closest to 6 in 2, s, f?
2
Let o = -37.2 - -37. Let p = -9638.5 - -9639. Which is the closest to -2/3? (a) o (b) -1/4 (c) -1 (d) p
c
Let r = -0.1 + 0.2. Let l = 941 + -605. Let b = l + -332. What is the nearest to -1/4 in b, r, 7?
r
Let u = -332 + 331.761. Let z = u - -3.239. What is the closest to 8 in 0.2, -2, z?
z
Let x(q) = -q - 3. Let p be x(-4). Let h = 0.3991 + 0.0009. Let w = 0.1 + -0.2. Which is the nearest to w? (a) p (b) h (c) 3
b
Let r = 558 + -557.905. Let l = -4.905 - r. What is the nearest to -1/2 in l, 1/5, 3, -0.2?
-0.2
Let n = 210.58 + -213.58. Let z = -0.2 + -0.3. Which is the closest to 2? (a) z (b) 3/5 (c) n
b
Let s = 4.1 + -4. Let t = 1.9 - 2.2. Let u(x) = -x + 2. Let j be u(3). What is the closest to j in s, 2, t?
t
Let j(m) = 2*m**3 + 219*m**2 - 115*m - 550. Let v be j(-110). Which is the nearest to 0.1? (a) v (b) -0.115 (c) -0.05
a
Let t = 3.64 - 2.64. Let g = -121 - -121. What is the closest to t in 4, g, 1?
1
Suppose -8*d = -74 + 42. Let t be d + 1 + (-144)/28. Let r be (3/2)/(1 + -4). Which is the closest to -2/3? (a) r (b) t (c) 0.1
a
Let f be (1232/84 + -15)*3/(-2). What is the closest to f in -6/5, 3, -160?
-6/5
Let w be 17128/47840 + (-5)/10. Let l = 3/260 + w. Let j be ((-2)/(-12))/(2/8). What is the nearest to -0.1 in -0.3, j, l?
l
Let j be (5/21)/(1595/58 + -25). Let a = 47 - 187/4. Let v = 23.046 + -0.046. What is the nearest to a in -2, j, v?
j
Let r(j) = -j**3 + 13*j**2 - 2*j - 18. Let x be r(13). Let u be x*(0 - (-3 + 4)). Let t = 45 - u. What is the nearest to 2 in -1/7, t, -12?
t
Suppose 0 = -4*h - 5*h - 2538. Let i be h/9 + (13/3 - 5). What is the nearest to 1 in -5/4, -5, i?
-5/4
Let d = -0.05 + -0.25. Let z = -34332/5 + 35124/5. Let w = -159 + z. Which is the closest to 2.5? (a) 3 (b) d (c) w
a
Suppose 28 = -2*k + 8. Let l = -11528 + 11528.1. Which is the nearest to -1? (a) l (b) 4 (c) k
a
Let r be (12/30)/(2/(-10)). Let d = 843 + -844. Which is the closest to d? (a) 0.5 (b) r (c) 2
b
Suppose 3*w + 19 = -20. Let g be ((-6)/(-4))/(w/(-182)). Let z = g + -20. Which is the closest to 5? (a) -2 (b) z (c) 0.4
b
Let w = 20.2 - 20. Let m = -5.04 + 0.04. Let v = 9 + m. Which is the nearest to v? (a) w (b) 0.4 (c) -3
b
Suppose h = -0*i - 3*i - 19, i = 2*h + 3. Let k be (-150)/(-1125) - (-2 - (-32)/15). What is the closest to k in 2/3, -0.4, h?
-0.4
Let d = -105.3 + 43.3. Let k = -63.7 - d. What is the nearest to k in 2, 1/6, -0.3?
-0.3
Suppose -7*n = -2*n. Let x = -362 + 362.1. What is the closest to x in 0.4, -5, 2/9, n?
n
Let g be ((-112)/30)/(-4) - 1. Let u(s) = -s**2 + 26*s + 66. Let o be u(28). Suppose 274*a - 276*a - o = 0. What is the nearest to -2/3 in a, g, -1/9?
-1/9
Let h = 9.93 + -10. Let u = -5.2677 + 12.2677. Which is the nearest to u? (a) h (b) -5 (c) 0
c
Let m be 23/(-2)*(-51 + 2162/47). Which is the closest to -3? (a) 2/15 (b) -2 (c) -1/6 (d) m
b
Let w = 35.91 + -36.01. Which is the nearest to -2? (a) 4 (b) 1/7 (c) w (d) -3/7
d
Let h be (40/(-6))/((-6)/(-9)). Let j = -23 + 21.7. Let y = -0.9 - j. What is the nearest to 1 in y, 3/8, h?
y
Let d(v) = 3*v**2. Let k be d(1). Let n = -72955/3 + 24319. Which is the closest to n? (a) k (b) 2/7 (c) 5/9
c
Let s = -633 + 3163/5. What is the nearest to -0.1 in s, -70, -3, -3/5?
s
Let v = 6679.1 + -6679. Which is the nearest to v? (a) -1 (b) -3/11 (c) 14/5
b
Let c = -0.3206 + -0.0354. Let k = -0.056 - c. What is the closest to -0.3 in k, -0.2, -32?
-0.2
Let k = -38882 - -38895. What is the closest to k in 9, -1, -2/7?
9
Let j be (-19 - -9) + (-960)/(-110). What is the nearest to j in 5, 2, 3/8, -2?
-2
Let t = 748.83 + -743.83. Let h = 20/99 - 2/99. What is the nearest to 2/5 in h, 1/4, t?
1/4
Let q = 5957 + -5958. Which is the closest to 292? (a) q (b) 4 (c) 0 (d) 5
d
Let v be ((-96)/168)/((-4)/14). Suppose 4*s + 3*u = 42, 0*s - 5*s = 4*u - 53. Let o = s - 35/4. Which is the nearest to 0.1? (a) 0 (b) v (c) o
a
Let g = -759/5 - -4549/30. What is the nearest to -1 in 0.5, g, -26?
g
Let y = 63.09 + -62.89. Which is the nearest to y? (a) -1/2 (b) 3/2 (c) -3 (d) -63
a
Let f = 15276 + -15271. Which is the closest to -4/11? (a) 0.21 (b) f (c) -5 (d) 0.01
d
Let i = -4635 + 4635. Let k = 0.37 + 23.63. Let g = k + -24.5. Which is the closest to i? (a) -0.3 (b) g (c) 1/6
c
Let x = 0.93 - 1.93. Let m = -25 - -24.4. Let h = -0.7 - m. Which is the nearest to -1? (a) -0.4 (b) h (c) x
c
Let h be ((-220)/200)/(2/(-5)). Let r = -113/44 + | {
"pile_set_name": "DM Mathematics"
} |
e 0 = 130*g - 88*g + 84 for g.
-2
Solve -69 - 48 = 39*d for d.
-3
Solve -31*o + 63 = -13*o - 225 for o.
16
Solve 2683*o - 104 = 2670*o for o.
8
Solve -93*c - 16*c = -18*c - 91 for c.
1
Solve -37*a = -24986 + 24912 for a.
2
Solve -948*w + 904*w = -176 for w.
4
Solve 32*b - 155*b + 385 = -353 for b.
6
Solve 20760 = -26*l + 718*l for l.
30
Solve 113 = -11*l - 22 - 8 for l.
-13
Solve 710*z + 10477 = -12243 for z.
-32
Solve 2145 + 357 = -120*a - 258 for a.
-23
Solve -40 + 35 = -29*r - 5 for r.
0
Solve -10 + 47 - 179 = -71*k for k.
2
Solve 1237 = 440*u + 3246 + 2391 for u.
-10
Solve 199*d + 45*d + 1324 = 6692 for d.
22
Solve 0 = -110*i + 226*i - 117*i + 11 for i.
11
Solve 65*z + 77*z = 852 for z.
6
Solve 0 = -72*q + 974 - 326 for q.
9
Solve 0 = -4*r - 12973 + 12989 for r.
4
Solve 0 = -z - 8382 + 8388 for z.
6
Solve -49*v + 708 = -271 + 146 for v.
17
Solve 16 = -444*v + 448*v for v.
4
Solve 41*o - 656 = -108 + 764 for o.
32
Solve 3*j - 1920 = 99*j for j.
-20
Solve 167*g + 1287 = 266*g for g.
13
Solve -383*s = -404*s - 21 for s.
-1
Solve 26*w + 138 = -44 for w.
-7
Solve -63*i - 86 - 141 = -38 for i.
-3
Solve 15294 = 13*z + 15359 for z.
-5
Solve 41*x - 6*x + 336 = -84 for x.
-12
Solve -94*d + 1341 - 151 = 25*d for d.
10
Solve 125*i - 729 = 279*i - 73*i for i.
-9
Solve 0 = 12*u - 26 + 160 - 2 for u.
-11
Solve -187*x - 4*x = 102*x for x.
0
Solve -1408 = -480*i - 155*i + 17642 for i.
30
Solve 67 + 16 = 160*n + 4243 for n.
-26
Solve 23*i + 498 - 149 - 165 = 0 for i.
-8
Solve -57*n + 57 = -62 + 5 for n.
2
Solve -40 = 294*c - 314*c for c.
2
Solve 1015*o - 1080 = 1150*o for o.
-8
Solve -3360 = -89*y - 191*y for y.
12
Solve 161*n = 576 + 229 for n.
5
Solve -294*q + 276*q - 198 = 0 for q.
-11
Solve -24*m - 10*m - 25*m + 590 = 0 for m.
10
Solve -362*q = -354*q + 96 for q.
-12
Solve -75*t + 510*t + 303*t = 13284 for t.
18
Solve 0 = -4*a - 5*a - 613 + 541 for a.
-8
Solve 0 = -13*x + 3*x - 2*x + 144 for x.
12
Solve -22*t - 90 = 94 - 30 for t.
-7
Solve -59 - 70 = -59*z + 48 for z.
3
Solve 5229 = 531*a + 17442 for a.
-23
Solve 5*j - 38*j + 10*j - 437 = 0 for j.
-19
Solve -5*i = 282*i + 74*i - 361 for i.
1
Solve -143 = -9*f + 33 - 59 for f.
13
Solve l = -17*l - 36*l for l.
0
Solve -377 + 393 = -2*r for r.
-8
Solve 1014*y - 5498 = 2682 + 8044 for y.
16
Solve 0 = 111*t + 120*t + 2541 for t.
-11
Solve 38*x - 540 - 524 = 0 for x.
28
Solve -36 = -19*b + 21 for b.
3
Solve 64 - 34 = 3*n + 2*n for n.
6
Solve 275*i = 6680 + 1295 for i.
29
Solve -57*h - 109*h = -62*h - 624 for h.
6
Solve -13*b + 8*b + 528 = 28*b for b.
16
Solve -27*t - 21837 + 21918 = 0 for t.
3
Solve 53*s + 10 + 24 + 178 = 0 for s.
-4
Solve -25*j - 3246 + 3096 = 0 for j.
-6
Solve 0 = -152*o - 888*o - 24960 for o.
-24
Solve 492*t + 22*t + 16962 = 0 for t.
-33
Solve -3420*q = -3338*q + 1312 for q.
-16
Solve 201*z + 386 = -185*z for z.
-1
Solve 175*d + 725 = 30*d for d.
-5
Solve -46 = -25*k + 7 + 22 for k.
3
Solve -10*u + 55 = -25 + 20 for u.
6
Solve 569*j + 3619 = 137*j + 14419 for j.
25
Solve -205*n + 152*n = -1484 for n.
28
Solve 0 = 85*a - 352*a + 534 for a.
2
Solve 0*n + 2*n = -69 + 61 for n.
-4
Solve 157*a - 219*a + 1048 + 192 = 0 for a.
20
Solve 33478 - 1243 = -1167*r - 1608 for r.
-29
Solve 5007 + 4158 = -705*p for p.
-13
Solve 3589*p - 3628*p = -1014 for p.
26
Solve 221*p + 643 = -2230 for p.
-13
Solve -149*g - 2470 = -125 + 2274 for g.
-31
Solve -161*s - 1540 = -67*s - 39*s for s.
-28
Solve -9*v + 4 + 8 = -12*v for v.
-4
Solve -479 + 247 = -6*y - 292 for y.
-10
Solve -293*j = -638*j - 5175 for j.
-15
Solve -72*p + 913 = -455 for p.
19
Solve 0 = -45*p + 11*p + 10*p + 48 for p.
2
Solve 92*l + 17 - 245 = 232 for l.
5
Solve -2740 = 334*l + 2123 + 3153 for l.
-24
Solve -372*n = 296*n - 7348 for n.
11
Solve -7*z + 84 + 38 = 38 for z.
12
Solve -10*h - 35 + 5 = 80 for h.
-11
Solve 348*g - 365*g + 85 = 0 for g.
5
Solve 1556*c = 1528*c - 280 for c.
-10
Solve 38*a + 732 = -23*a for a.
-12
Solve 0 = 358*p - 387*p + 232 for p.
8
Solve 169 = 14*s - 6*s + 5*s for s.
13
Solve -3835*u = -7670*u + 3812*u - 506 for u.
-22
Solve -809 + 710 = 9*l for l.
-11
Solve 439 + 252 = -81*y - 38 for y.
-9
Solve -18*v + 0 + 124 = 34 for v.
5
Solve -219 = -55*w - 18*w for w.
3
Solve 51*k = -5260 + 6025 for k.
15
Solve 114*x = -18*x + 65*x for x.
0
Solve 722*j = 715*j + 154 for j.
22
Solve -733875*j - 720 = -733923*j for j.
15
Solve 19332 - 32041 - 37885 = -1234*t for t.
41
Solve -11*d + 40 = 73 for d.
-3
Solve 228*h - 37 = -17 - 20 for h.
0
Solve 0 = 26*r + 538 - 96 for r.
-17
Solve 6*j - 2*j + j + 40 = 0 for j.
-8
Solve -15 + 280 = 16*v - 135 for v.
25
Solve 142 + 41 = -61*k - 244 for k.
-7
Solve -11 = -50*w + 303 - 64 for w.
5
Solve -528*x = -651*x + 2337 for x.
19
Solve -128*s - 75 = -153*s for s.
3
Solve 448*c + 458 + 10294 = 0 for c.
-24
Solve -3*t - 120 = -27*t for t.
5
Solve 6354 = -17*x + 6320 for x.
-2
Solve p = 10*p - 34 + 88 for p.
-6
Solve -265*k + 256*k - 63 = 0 for k.
-7
Solve 22113*s = 22122*s + 99 for s.
-11
Solve -174*w = 142*w - 646 - 7886 for w.
27
Solve -2461*d + 2503*d = -252 for d.
-6
Solve 15*u - 59600 + 59240 = 0 for u.
24
Solve 19*z + 4 - 316 = -5*z for z.
13
Solve 1202*u - 1519*u - 10461 = 0 for u.
-33
Solve 0 = 568*i + 536*i - 1168*i + 640 for i.
10
Solve -32*g + 40*g + 24 = 20*g for g.
2
Solve 21*m - 810 = -4*m - 20*m for m.
18
Solve 675*w = -714*w + 9723 for w.
7
Solve 8142*q + 1060 = 8195*q for q.
20
Solve -324*z - 95*z = 838 for z.
-2
Solve -102*r = 79*r - 224*r + 1419 for r.
33
Solve -72*u - 114 = 246 for u.
-5
Solve -4180 = 335*s - 115*s for s.
-19
Solve -19*j + 291 = 253 for j.
2
Solve 22*j - 126*j = 832 for j.
-8
Solve 38*t - 51*t - 69*t - 328 = 0 for t.
-4
Solve 21 = 20*h - 99 for h.
6
Solve -27*r + 5*r + 244*r - 444 = 0 for r.
2
Solve 401 = -29*f + 115*f - 201 for f.
7
Solve -2492*h + 264 = -2470*h for h.
12
Solve 27*s = -89*s + 1972 for s.
17
Solve 26*c - 374391 = -374131 for c.
10
Solve 98*r + 46*r = 144 for r.
1
Solve -139*c - 7 = -140*c for c.
7
Solve -405 - 711 = -124*c for c.
9
Solve 249*x = -2115 + 123 for x.
-8
Solve -40*z + 681 - 161 = 0 for z.
13
Solve 760*g - 1028 - 4560 = 5052 for g.
14
Solve -452 = 36*o - 380 for o.
-2
Solve 0 = 1507*n - 1451*n - 728 for n.
13
Solve -33*h + 718 + 137 = 1680 for h.
-25
Solve 710 + 558 = -76*j + 356 for j.
-12
Solve 12044 - 1382 = 726*p - 11118 for p.
30
Solve o = -3*o - 3*o - 56 for o.
-8
Solve -101*g - 158 = 104*g - 773 for g.
3
Solve 9*n - 1606 = 28*n + 54*n for n.
-22
Solve 9*o + 17*o = 34*o - 120 for o.
15
Solve -166 = 15*a - 361 for a.
13
Solve -56*g + 17*g = 86*g + 1125 for g.
-9
Solve 289 = -10*g + 379 for g.
9
Solve -207*f = 1966 - 1759 for f.
-1
Solve 5*p - 980 = -1795 + 900 for p.
17
Solve -16*z - 131 = -339 for z.
13
Solve -142 - 380 = 87*v for v.
-6
Solve -18*a = -1546 + 1384 for a.
9
Solve 97*l = -45*l - 10*l + 152 for l.
1
Solve -1031 + 2057 = -42*m + 4*m for m.
-27
Solve 4602 - 8514 = -163*t for t.
24
Solve -666*t - 337 = 320*t + 1635 for t.
-2
Solve -5 + 109 = 3*z - 29*z for z.
-4
Solve 30 = 1722*c - 1677*c - 60 for c.
2
Solve 0 = -90*d + 193 + 141 + 26 for d.
4
Solve 40*j - 30 + 6 = 56 for j.
2
Solve 6*a + 6*a = 48 for a.
4
Solve -75 = 26*j + 6 - 29 for j.
-2
Solve -599 - 593 = -149*j for j.
8
Solve -572*z = -589*z + 34 for z.
2
Solve 178*b = -1680 - 1262 - 618 for b.
-20
Solve 0 = -307*f + 336*f + 58 for f.
-2
Solve 0 = 49*v - 68*v + 266 for v.
14
Solve -19*w + 286 = -0*w + 590 for w.
-16
Solve -1285*i + 1242*i - 247 = 613 for i.
-20
Solve 86*y + 205 + 103 + 36 = 0 for y.
-4
Solve 14*v + 22 + 12 = -22 for v.
-4
Solve -3*n - 169*n = 1720 for n.
-10
Solve 471*c - 461*c - 60 = 0 for c.
6
Solve -21*v + 381*v + 4508 = 38*v for v.
-14
Solve -2891 + 8708 = -375*x - 2058 for x.
-21
Solve 89*g - 77 - 181 = 187 for g.
5
Solve 33*n + 535 = 73 + 33 for n.
-13
Solve 49*n + 1097 = -66*n + 177 for n.
-8
Solve 537 + 1220 = -119*x - 266 for x.
-17
Solve -17*g - 104 = 14*g + 82 for g.
-6
Solve 0 = -655*h - 313*h + 22264 for h.
23
Solve -3768 + 4353 = -65*n for n.
-9
Solve 5090 = 420*q - 4570 for q.
23
Solve -3*w - 335 = 319 - 678 for w.
8
Solve 1236 = 389*w - 80*w for w.
4
Solve -21 - 75 = 8*r for r.
-12
Solve -330 = -0*z + 13*z + 20*z for z.
-10
Solve 202 - 280 = 39*l for l.
-2
Solve -415*n - 4148 - 4152 = 0 for n.
-20
Solve -207 = -87*z - 990 for | {
"pile_set_name": "DM Mathematics"
} |
ple of 40?
True
Is 183049 a multiple of 36?
False
Is 14 a factor of 185063?
False
Is 923 a factor of 35074?
True
Is 121 a factor of 66649?
False
Is 8540721 a multiple of 567?
True
Is 99 a factor of 634095?
True
Is 16081529 a multiple of 378?
False
Is 1119794 a multiple of 8?
False
Is 21326644 a multiple of 15?
False
Is 12 a factor of 2063364?
True
Is 17 a factor of 214965?
True
Does 323 divide 189738?
False
Is 3 a factor of 182046?
True
Does 11 divide 187275?
True
Is 52440 a multiple of 30?
True
Is 2804856 a multiple of 140?
False
Does 27 divide 2971999?
False
Does 45 divide 336416?
False
Does 65 divide 320449?
False
Does 17 divide 290598?
True
Is 18733190 a multiple of 68?
False
Is 10 a factor of 6121770?
True
Is 8 a factor of 245534?
False
Does 274 divide 5214494?
True
Does 62 divide 3407396?
True
Does 610 divide 2717548?
False
Does 16 divide 216870?
False
Does 489 divide 1746811?
False
Is 386991 a multiple of 18?
False
Is 5 a factor of 41715?
True
Does 57 divide 14752113?
True
Is 138 a factor of 1876763?
False
Is 342990 a multiple of 326?
False
Does 155 divide 241490?
True
Is 3419141 a multiple of 1051?
False
Is 68 a factor of 119476?
True
Is 686742 a multiple of 42?
True
Does 12 divide 8695703?
False
Is 624720 a multiple of 411?
True
Is 792 a factor of 1461407?
False
Is 145884 a multiple of 6?
True
Is 29 a factor of 114787?
False
Does 13 divide 12783480?
False
Is 3112989 a multiple of 33?
True
Is 40138 a multiple of 94?
True
Does 26 divide 237978?
True
Does 47 divide 783752?
False
Is 44 a factor of 80968?
False
Is 148101 a multiple of 35?
False
Is 237270 a multiple of 21?
False
Does 26 divide 762320?
True
Does 245 divide 315070?
True
Is 67 a factor of 146998?
True
Is 93412 a multiple of 121?
True
Is 31 a factor of 2537686?
False
Is 13 a factor of 1597834?
False
Is 168 a factor of 50064?
True
Is 1717326 a multiple of 18?
True
Is 2735802 a multiple of 87?
True
Does 115 divide 97290?
True
Is 1514972 a multiple of 16?
False
Is 346465 a multiple of 492?
False
Is 365 a factor of 1460?
True
Is 12256 a multiple of 19?
False
Is 374 a factor of 1213273?
False
Is 3150204 a multiple of 41?
False
Is 19 a factor of 1145567?
True
Is 50 a factor of 22887550?
True
Is 142822 a multiple of 11?
False
Is 682 a factor of 2030996?
True
Does 36 divide 3415?
False
Is 1673 a factor of 2499462?
True
Does 7 divide 589188?
False
Is 13 a factor of 62413?
True
Does 390 divide 4615815?
False
Does 26 divide 529750?
True
Is 124 a factor of 325872?
True
Is 115 a factor of 15527035?
False
Does 59 divide 966420?
True
Does 7 divide 1789?
False
Is 97122 even?
True
Is 250 a factor of 105000?
True
Does 202 divide 1516818?
True
Does 81 divide 1118969?
False
Does 20 divide 939200?
True
Does 160 divide 3481453?
False
Is 156 a factor of 2550526?
False
Is 11 a factor of 1994100?
False
Is 23 a factor of 996659?
True
Is 4 a factor of 7893?
False
Is 178288 a multiple of 7?
False
Is 4 a factor of 716697?
False
Is 470 a factor of 27260?
True
Is 33 a factor of 925419?
True
Is 44754 a multiple of 3?
True
Does 22 divide 3565171?
False
Is 3 a factor of 115362?
True
Does 197 divide 10492023?
True
Is 13 a factor of 5304?
True
Is 26157537 a multiple of 38?
False
Is 5 a factor of 976450?
True
Is 271722 a multiple of 11?
True
Does 6 divide 2075093?
False
Is 218 a factor of 33136?
True
Is 221 a factor of 505250?
False
Is 15651 a multiple of 7?
False
Is 19232 a multiple of 8?
True
Is 54 a factor of 288488?
False
Is 11059628 a multiple of 44?
False
Does 21 divide 66672?
False
Is 9353358 a multiple of 7?
True
Is 288 a factor of 181728?
True
Does 4 divide 4032?
True
Is 181 a factor of 1918238?
True
Does 203 divide 247051?
True
Is 205616 a multiple of 24?
False
Is 391824 a multiple of 24?
True
Is 140 a factor of 68092?
False
Is 11 a factor of 3696357?
False
Is 54 a factor of 13910238?
True
Is 8 a factor of 4197337?
False
Is 341255 a multiple of 76?
False
Is 180 a factor of 928407?
False
Does 282 divide 4425426?
True
Is 13 a factor of 2000840?
False
Does 4 divide 58652?
True
Is 28475 a multiple of 166?
False
Is 103306 a multiple of 14?
True
Does 16 divide 1813360?
True
Is 350140 a multiple of 205?
True
Does 309 divide 97026?
True
Does 310 divide 294346?
False
Is 17 a factor of 1427575?
True
Is 429938 a multiple of 454?
True
Is 19507 a multiple of 17?
False
Is 10798228 a multiple of 14?
True
Is 20 a factor of 1914440?
True
Is 65323 a multiple of 24?
False
Is 90896 a multiple of 13?
True
Is 9 a factor of 1459234?
False
Is 17 a factor of 3308217?
True
Does 8 divide 17778?
False
Is 369355 a multiple of 23?
False
Is 36 a factor of 3600?
True
Is 13 a factor of 7749963?
True
Does 18 divide 3800196?
True
Is 92 a factor of 1295297?
False
Does 366 divide 219966?
True
Does 13 divide 9208622?
False
Is 54 a factor of 1432242?
True
Is 296935 a multiple of 71?
False
Is 232500 a multiple of 60?
True
Is 22 a factor of 224207?
False
Is 761 a factor of 859930?
True
Is 962711 a multiple of 13?
False
Is 100 a factor of 106800?
True
Is 266 a factor of 1050168?
True
Is 7 a factor of 1564309?
False
Is 551 a factor of 2386932?
True
Is 423 a factor of 2371265?
False
Is 2239845 a multiple of 15?
True
Is 51 a factor of 41106?
True
Is 14441840 a multiple of 140?
True
Is 77588 a multiple of 326?
True
Does 173 divide 5659540?
False
Is 99 a factor of 3380076?
False
Does 11 divide 606320?
True
Does 10 divide 2505000?
True
Is 94236 a multiple of 5?
False
Does 157 divide 1977447?
False
Is 192 a factor of 532319?
False
Does 21 divide 7251279?
True
Is 2929110 a multiple of 326?
True
Is 163 a factor of 138775?
False
Is 251966 a multiple of 31?
False
Does 18 divide 2150270?
False
Is 14168 a multiple of 46?
True
Is 2709291 a multiple of 127?
True
Is 28 a factor of 119784?
True
Is 15 a factor of 1631215?
False
Does 4 divide 33472?
True
Is 24 a factor of 155650?
False
Is 123 a factor of 48339?
True
Is 111328 a multiple of 284?
True
Does 139 divide 4315438?
False
Is 1132 a factor of 1293017?
False
Does 10 divide 5714370?
True
Does 95 divide 51435?
False
Is 318879 a multiple of 156?
False
Is 45 a factor of 149625?
True
Does 140 divide 11730?
False
Is 2610 a factor of 19551510?
True
Is 107472 a multiple of 6?
True
Is 42499 a multiple of 329?
False
Is 2208006 a multiple of 14?
False
Does 13 divide 3618168?
False
Does 17 divide 4966482?
True
Is 141 a factor of 3593526?
True
Does 44 divide 1636578?
False
Is 86999 a multiple of 175?
False
Is 10 a factor of 107410?
True
Does 19 divide 460256?
True
Is 34 a factor of 2748338?
False
Does 126 divide 386316?
True
Does 13 divide 1080638?
True
Does 1490 divide 629634?
False
Is 10 a factor of 17870?
True
Is 1927848 a multiple of 668?
True
Does 144 divide 15127?
False
Is 3 a factor of 46151?
False
Does 48 divide 164210?
False
Is 134 a factor of 4597257?
False
Does 71 divide 25362123?
True
Is 18 a factor of 2550697?
False
Is 10784356 a multiple of 83?
True
Is 334776 a multiple of 58?
True
Is 60 a factor of 8389167?
False
Is 307470 a multiple of 370?
True
Is 129720 a multiple of 46?
True
Is 510701 a multiple of 383?
False
Is 411992 a multiple of 327?
False
Is 160 a factor of 608002?
False
Does 7 divide 190987?
False
Is 546 a factor of 3039306?
False
Is 2 a factor of 7225?
False
Does 34 divide 946281?
False
Is 54 a factor of 56862?
True
Is 1818318 a multiple of 120?
False
Does 36 divide 4295138?
False
Is 26 a factor of 4232809?
False
Is 352284 a multiple of 31?
True
Does 88 divide 2871029?
False
Does 6 divide 149034?
True
Is 28 a factor of 503916?
True
Is 28960 a multiple of 20?
True
Does 63 divide 32004?
True
Is 47 a factor of 129624?
False
Is 462 a factor of 264290?
False
Is 256490 a multiple of 65?
True
Does 24 divide 526553?
False
Is 3198594 a multiple of 88?
False
Is 713 a factor of 11412401?
False
Is 1475693 a multiple of 364?
False
Is 56718 a multiple of 18?
True
Is 199 a factor of 5350911?
True
Is 3750969 a multiple of 761?
True
Is 356839 a multiple of 25?
False
Is 10 a factor of 185160?
True
Is 19997 a multiple of 6?
False
Does 36 divide 309790?
False
Is 539485 a multiple of 62?
False
Is 1128219 a multiple of 69?
True
Is 6669803 a multiple of 272?
False
Is 78 a factor of 828828?
True
Is 22 a factor of 6163349?
False
Is 79 a factor of 374223?
True
Is 31 a factor of 339075?
False
Does 30 divide 252541?
F | {
"pile_set_name": "DM Mathematics"
} |
e (-1)/2*4*-1. Suppose u = 4*r - 14. Let t be 2*(-2)/4*-10. Solve 2*c = -m - t, -10 + 2 = 5*m - r*c for m.
-4
Suppose -3*p - 21 = -0*p. Let o(j) = -j - 6. Let k be o(p). Suppose 5*z + 2*a + 2*a = 4, -k = -a. Solve z = 2*u - 2*r, 7*u - 2*u + 12 = -r for u.
-2
Let g = 208 - 208. Solve -2*x - 6 = 4*o - g*x, 2*o - 9 = -5*x for o.
-3
Let i = -42 - -41. Let u(d) = -d - 7. Let v(s) = -s - 1. Let l(h) = -2*u(h) + 14*v(h). Let x be l(i). Solve -10 = -y + 4*y + 4*g, 3*g + x = 0 for y.
2
Suppose -19*s = -39 - 18. Solve 0*b + s*b = -3*t + 18, 5*b = -3*t + 22 for b.
2
Let b be (-6)/20*(-10 - 0). Solve 0 = 2*u + b*x - 13, 21 = 4*u + 2*x - x for u.
5
Let m(n) = 0*n + 0*n + 7*n - 71 + 33. Let b be m(6). Solve b*l = -3*y + 2 + 3, 0 = 4*y + 3*l - 2 for y.
-1
Suppose -3*h = -4*g + 4, -g = -0*h - h. Solve -3*a + n = h, n - 1 + 5 = -a for a.
-2
Let v(a) = 29*a - 288. Let o be v(10). Solve r - 4 = 3*l, 2*l + o = 4*r - 14 for l.
0
Let p = 0 + -18. Let z be (p/(-1))/(2 + 0). Solve -4*c - 11 = 3*o - 4, -z = 3*c + o for c.
-4
Suppose -4*s + 14 = -y - 2*s, -4*y - 4 = 5*s. Let z be (-8)/y - 2/(-3). Solve 12 = 4*h - z*o, -5*o = -2*h + 5*h - 9 for h.
3
Let q(c) = 10*c - 45. Let z be q(5). Let i(v) = -v**3 + 3*v**2 + 10*v + 3. Let t be i(z). Solve y = u + t, 5*u - 3*u + 5 = 3*y for y.
-1
Suppose 14*s - 13*s + 4 = 0. Let h be (-18)/s - (-5)/(-10). Let z = 9 - 9. Solve -5*d + 3*d + 6 = 2*g, 4*g - h*d - 20 = z for g.
4
Let a = -158 - -229. Let z = 76 - a. Let r be (-6)/(-5)*5/2. Solve -r*c = -f - z, 5 = f - 0*f + 2*c for f.
1
Suppose -82 = -29*o + 5. Solve -o*j + d - 15 = 0, -11*j + d = -9*j + 10 for j.
-5
Suppose g - f - 3 = 4*f, -5*g + f + 15 = 0. Suppose 5*h = g*r - 26, h + 6 = r - 0*h. Solve m - 4*a = -9, -6*a + 6 = -r*m - 2*a for m.
3
Let p = 12 + -18. Let w(r) = r**2 + 11*r + 7*r - 7 - 20*r + 6*r. Let n be w(p). Solve -3*t = x + n, -2*x - 5 = 2*t - 3 for x.
1
Let j(b) = 14*b + 7. Let s be j(1). Suppose -4*i = -4*g - 3*i + s, -4*g = -4*i - 24. Solve 5*z - 41 = 4*m, 5*m + 3 - 8 = -g*z for m.
-4
Let r(x) = x + 23. Let n be r(-11). Suppose -2*o + n = -5*s, -5*o + 3*s + 17 = -13. Solve -5 = -g, h + 13 + o = 3*g for h.
-4
Let w be (6/(-9))/(8/(-12)). Suppose 2 = q - w. Suppose 4 = -3*k + 5*k, r - 4*k = -q. Solve -r*a - 30 = -3*i - 7, 0 = 4*i - a - 8 for i.
1
Let a = -38 + 50. Suppose a*i - 35 = 13. Solve i*d = -l + 1 + 3, 2*l - d = -10 for l.
-4
Let p(a) = -148*a - 9. Let x be p(-2). Suppose -98 + x = 9*c. Solve 3*l + c = 3*m, 4*l = 3*m - 7*m - 4 for m.
3
Let p(i) = -i**3 + 32*i**2 + 71*i - 100. Let q be p(34). Solve s = -g + q*s - 4, -s = 4*g - 4 for g.
0
Let j(k) = k**2 - 17*k - 58. Let l be j(20). Solve -2*n - l*p = 16, 5*n + 4*p - 3*p + 24 = 0 for n.
-4
Let w(s) = s - 1. Let f be w(5). Suppose 3 = -n, n + 2 = h - 13. Let k be -1 + h/4 + -1. Solve 5*y + x + k = -f, -2*x = 5*y + 10 for y.
0
Let o be 8 - (9/15 - 28/(-20)). Solve -3*l + v = -4, o = -3*l + 3*v - 0 for l.
3
Suppose 0 = 2*t - r - 11, 0 = 5*t - 0*t + 3*r. Suppose -37 = -t*b - 3*g - 2*g, -2*b - 12 = -4*g. Solve 0 = 2*p - p - 5*h + 3, b*p + 12 = -2*h for p.
-3
Let b(o) = o**3 + 8*o**2 + 6*o + 5. Let y(n) = 5*n + 13. Let v be y(-8). Let f be v/4 + (-1)/4. Let a be b(f). Solve s + 5*k = a, 0 = 5*s - 3*k + k + 21 for s.
-3
Let v(b) = -170*b - 334. Let s be v(-2). Solve -2*c - 6 = -5*p + 4*p, 0 = -4*p + 2*c - s for p.
-4
Suppose -7 = -m - p, 4*m = 38*p - 37*p + 3. Solve 5*n = m*j + 28, -4*j = j - n + 24 for j.
-4
Let r be 1*(-2)/(-6) + (-32)/(-12). Solve -11 = -r*o - p, p + 6 - 13 = -2*o for o.
4
Let h be 4/(50/65*18/45). Solve -3*f + 1 = 10, 5*b + f + h = 0 for b.
-2
Suppose 62 + 60 = -2*u. Let o = u - -66. Solve -30 = 5*b + o*s, 3*b = -2*s - 0 - 13 for b.
-1
Let l be -2 + 16/(-4) + 6. Suppose 5*r - 3*p - 207 = l, -199 = -5*r - p + 2*p. Suppose 0 = -5*n + r - 14. Solve n*h = 3*f - 13, -3*f - 7 = 5 for h.
-5
Suppose -3 = -t - 4*a + 7*a, -5*t + 5*a = -15. Solve -12*h + 4*l = -13*h - 14, 0 = -h - t*l - 10 for h.
2
Let b = 592 + -589. Solve 2*f - s + 7 = b*f, 0 = 2*s - 6 for f.
4
Suppose 0 = -k + 3*k + a - 8, 3*k + 4*a - 7 = 0. Suppose k*f = -0*f. Suppose f = -0*o - 2*o + 6. Solve 0 = -5*b - 5*l - 40, -4*l - o = b + 20 for b.
-3
Let n = 48 - 43. Suppose -13 = n*f - 13. Solve b + 5*g = 6, 0 = -f*b - b - 2*g for b.
-4
Suppose 2*p - 29 = -5*t, -5*p - 15 = -0*p - 5*t. Let d = 8 - 6. Solve 0 = -m - d*u + 5, 5*m - p*m = -5*u + 13 for m.
1
Suppose 14*c - 28 = 210. Solve -5 = l + 4*y - c, -3*l - 24 = -3*y for l.
-4
Let g(y) = -y**2 + 5*y. Let k be g(6). Let s be -6 + 248/40 - (-54)/5. Let c = k + s. Solve c*n - 15 = -5*x, -x = -5 - 0 for n.
-2
Let s = -72 + 48. Let z = s - -32. Solve -4*p = -5*w - 10, z*p - 4*p + 6 = -3*w for p.
0
Suppose -145 = -4*i - 3*w, 2*i + w - 105 = 6*w. Solve 0 = -5*y - 4*a - i, y + 4*a + 8 = 4*y for y.
-4
Suppose -x = 24*j - 29*j - 122, -j = -3*x + 30. Let g be (2/(-3))/((-1)/39). Let y = g + j. Solve -5*k = -y*h - 4, -h + k = -0*k + 2 for h.
-2
Let n(z) = 2*z**2 - z - 6. Let x be n(2). Solve -2 + x = 2*m - 5*c, 3*m - 16 = -2*c for m.
4
Let l(o) = o**3 - 5*o**2 + 5*o - 9. Let f be l(5). Let z be (f/(-14))/(-4 - 130/(-35)). Solve z*q - 2*t = 2, -3*q + 3*t = -t + 6 for q.
2
Let t be (-9)/(-6)*172/(-6). Let l = t + 47. Solve -10 = -3*o + l*y, 0*o - o - 3*y - 1 = 0 for o.
2
Suppose -6*m + 24 = -3*m - 2*c, c - 23 = -2*m. Solve 0 = 2*t + 3*u - m, -6 = -t - 3*u + 5 for t.
-1
Let r(k) = 3 - k**2 - 5 + 2*k**2. Let s be r(2). Let h be (-3)/(-9) + s/(-6). Solve h = 3*z + 2*c - 5, -2 = -2*z + 3*c - 3 for z.
1
Suppose 0 = -5*o - 5*y + 26 + 9, -5*y = -2*o + 28. Suppose -o*p = -6*p - 39. Solve -3*c - 9 = -2*a, 5*a = 3*c - 4 + p for c.
-3
Let b be 4 + 6 - 1 - -3. Suppose b = 2*f - f. Solve 0 = -4*y + n + f, 4 = -6*y + 2*y + 5*n for y.
4
Suppose 25*n + 34 = 134. Solve -4*x + 24 = -n*c + 2*c, -5*c + 3*x - 32 = 0 for c.
-4
Let c(y) = y**2 + 3*y - 14. Suppose 0 = -22*v + 20*v - 12. Let n be c(v). Solve 0 = 4*s + o - 5*o - 4, -3*s - n = 4*o for s.
0
Let f(n) = 2*n + 80. Let q be f(16). Let a be -1 - -1 - (10 - q/8). Solve 5*m = -4*d + 45, -m - d = a*d - 30 for m.
5
Let x(c) = c**3 + 6*c**2 + 5*c. Let y be x(-5). Suppose o = 4 - y. Solve u - 2 + o = -j, -4*u = j + 2 for j.
-2
Let l = -37 + 17. Let u = -18 - l. Solve 3*g + 6 = 5*b, -g = -0*g + 2*b + u for g.
-2
Suppose -2*z + 5*n - 1 - 4 = 0, 4*n = z + 7. Suppose z*s = -3*h + 2, 6*h - 2 = 8*h + 5*s. Solve d - h*o - 9 = 0, -2*o + o - 26 = -5*d for d.
5
Let z be 30/(-20) - 14/(-4). Solve -3*l + 3*i = 18, 3*i = -0*l + z*l + 14 for l.
-4
Let g = 37 + -35. Suppose -2*n = 3*t - 3 - 5, 8 = -4*t + 2*n. Let q = g - t. Solve -q*s = m, -m = -2*s - 0*m - 4 for s.
-1
Let n = -359 + 362. Suppose 6 = 5*v - 4. Let p be (-1)/v*2 - -3. Solve -3*g = n*h + 12, -h = -p + 5 for g.
-1
Suppose -8*i - 6*i = -5*i. Suppose 2*g = -2*g + 8. Suppose -3*a - g*a + 15 = i. Solve -a*w - 1 = 3*k - 4, 0 = -2*w - 4*k + 4 for w.
0
Let q(n) = 3*n**2 - 38*n + 36. Let g be q(15). Let y = -141 + g. Solve -4*c - f + 8 = 0, c + 5 = -y*c - 2*f for c.
3
Let c(h) = -7*h**2 - 152*h + 46. Let u be c(-22). Let k = 2 + 0. Solve 5*p - 1 = -u*q, k*q + 4 = -3*p + 7 for q.
3
Let c(v) = 7*v - 30. Let n be c(5). Let g be (20/(-6))/(22/(-165)). Solve 0 = n*a - g, -a - a + 26 = -4*r for r.
-4
Let a be (-77)/(-14)*1*(-8)/(-22). Solve -2 = -4*y + 2, 3*y - 1 = -a*x for x.
-1
Let w = 1815 - 1806. Solve 6*j - w*j = 2*c - 13, -j - 9 = -2*c for c.
5
Suppose -3*b + u + 15 = 0, 0 = 3*b - 33*u + 37*u. Solve -b*p + v = -v + 6, 24 = -4*p - 4*v for p.
-3
Suppose -2351*v - 32 = -2353*v. Solve u + 1 = -5*z + 22, 4*u + v = 0 for z.
5
Let h = -10 + 11. Let v(j) = 2*j**2 + j + 1. Let n be v(h). Solve 16 = -4*u + 4*q, -u = -n*q - q for u.
-5
Let c(b) = b + 20. Suppose -4*u + 34 = -3*m, m + 4*u = -3 + 13. Let d be c(m). Let y = -12 + d. Solve 3*n + 14 = -s, 4*s - n = y*n + 19 for s.
1
Suppose 0 = j + 94*k - 96*k + 8, -4*k + 14 = -3*j. Solve 0*l = l + 2*g + 13, j*g + 25 = -5*l for l.
-3
Let n = 33 - 20. Suppose 17*m = n*m + 40. Solve -a + 1 = -3*o, 4*o + m = -3*a - 0 for a.
-2
Let t = 59 - 60. Let f be t/5 + 48/15. Let h(n) = -5*n - 3. Let j be h(-6). Solve 4*d + z - j = -f, 4*z = -3*d + 31 for d.
5
Let k = 616 - 613. Solve 3*x + k*g = -2*x + 9, -g - 2 = 0 for x.
3
Suppose -4*l + 2*w + 38 = 12, -3*l + 3 = 4*w. Solve -4*i + l*k - 16 = 0, -3*i = -7*i - | {
"pile_set_name": "DM Mathematics"
} |
1
b
Which is the closest to 2? (a) 5 (b) -1.2 (c) -4 (d) 4
d
What is the nearest to -2/5 in -0.2, -25, 3/2?
-0.2
What is the nearest to 0 in -10, -7/2, -3, 1/2?
1/2
What is the closest to -1 in 5, 4, -12?
4
What is the closest to -21 in -3/8, -2, 6, -2/9?
-2
Which is the nearest to -0.16? (a) -5 (b) -1/6 (c) -1/7 (d) -4
b
What is the closest to -3 in -70, 0.3, -1, 1?
-1
What is the nearest to -2 in 2/5, 13/6, -2/3?
-2/3
Which is the closest to 22? (a) 5 (b) 2/5 (c) -0.4
a
Which is the nearest to -1? (a) -377 (b) 1/3 (c) 3
b
Which is the closest to -14? (a) 1 (b) -1/2 (c) 1/2 (d) -1
d
What is the closest to -2 in 9, 0.08, -0.2?
-0.2
What is the closest to 24 in 1, -3, -1/2?
1
What is the closest to 42/5 in 3, 0.5, -2/7, 4?
4
What is the nearest to -37 in 2.1, 3, 4?
2.1
Which is the closest to 251? (a) -0.5 (b) 2/11 (c) 1/3
c
What is the closest to -0.2 in -4, 0.2, -2/15, 2/9?
-2/15
Which is the nearest to 3? (a) 1 (b) -0.5 (c) 0
a
Which is the nearest to -2/5? (a) 2/19 (b) 4 (c) -45 (d) -5
a
What is the closest to 1 in -5, -2/19, 1/5, -8?
1/5
Which is the nearest to 2? (a) 0.3 (b) -1/7 (c) 68/7 (d) 2
d
Which is the nearest to -6? (a) 5 (b) 10 (c) 0.3
c
What is the nearest to -1/18 in -1, -4, 1, 3?
-1
What is the closest to -2/3 in 1/3, 0.1, -6/25?
-6/25
Which is the nearest to -1/2? (a) -0.1 (b) -2/59 (c) -4
a
What is the nearest to -1/2 in -5/3, 0, 4, 1/5?
0
Which is the nearest to 78? (a) -2/7 (b) 20 (c) -5
b
What is the closest to 0 in 2, -64, 0.1, -0.4?
0.1
What is the closest to 0.4 in -3/2, -0.1, 0.5, 1?
0.5
What is the closest to -0.3 in -26, -2/5, -3, 0?
-2/5
What is the nearest to 0 in 1/8, 2/23, 5/4?
2/23
Which is the nearest to -1? (a) 1/4 (b) 1/153 (c) -1
c
Which is the nearest to -2/7? (a) -1/6 (b) 3 (c) -2/9
c
Which is the nearest to -2/13? (a) -1 (b) 3 (c) -2/9
c
Which is the nearest to -2/9? (a) 1 (b) 2/5 (c) -0.2 (d) -3/4
c
What is the closest to -1 in -1, 2/39, -5, -3/8?
-1
Which is the closest to 0.1? (a) 1/16 (b) -1 (c) -3/4 (d) 5
a
Which is the closest to -0.05? (a) -2 (b) -6 (c) 1/3 (d) -3/2
c
What is the nearest to -0.1 in 0.2, 0.4, -5, 0.02?
0.02
What is the nearest to -0.1 in -2/19, -7, 18, 2?
-2/19
What is the closest to 8 in -0.12, 1, -0.2?
1
What is the nearest to 1/4 in 1, -1, 2/3, 5?
2/3
What is the nearest to 2/9 in 4/7, -2/5, -491, 0.5?
0.5
Which is the nearest to -4/3? (a) 3 (b) 0.2 (c) -129
b
Which is the closest to 0? (a) -0.4 (b) -2 (c) 3/4 (d) 120
a
Which is the closest to 10? (a) -0.2 (b) -0.1 (c) 0.1
c
Which is the closest to -0.03? (a) 0.6 (b) 1 (c) 3
a
What is the nearest to 2/9 in -4, -0.015, 0.1?
0.1
Which is the nearest to 0.1? (a) 3 (b) -4 (c) 33 (d) 4
a
What is the closest to 0.1 in 1/2, -3/8, 2, -2?
1/2
What is the nearest to -1/3 in 0.1, -0.13, -2/11?
-2/11
Which is the nearest to -1? (a) 19 (b) -0.5 (c) 0
b
Which is the closest to -1? (a) 1/5 (b) 6 (c) -0.091
c
What is the nearest to -1 in 5/6, 0.4, 3/2, -2/7?
-2/7
What is the nearest to 2/3 in -4, 3/2, 0.2, -1.14?
0.2
Which is the nearest to -25? (a) 0.02 (b) -3 (c) 0 (d) -5
d
What is the closest to -4 in 0, 21, -3/8, -4?
-4
What is the closest to -4 in 250, 3, 2/11?
2/11
Which is the closest to -3? (a) -1/7 (b) 1/10 (c) -0.2 (d) 2/5
c
Which is the nearest to 0.5? (a) 4 (b) 0.6 (c) -24 (d) -0.5
b
Which is the nearest to 0? (a) 0.4 (b) 1/2 (c) 40
a
Which is the closest to -1/2? (a) 0.2 (b) -4 (c) -1 (d) 17/4
c
Which is the nearest to -0.1? (a) -2/5 (b) -5 (c) -1/8 (d) 0
c
Which is the nearest to 2/873? (a) -0.4 (b) 5 (c) 1
a
Which is the closest to -1/4? (a) -5 (b) 0.3 (c) 5 (d) -4/7
d
What is the nearest to 16.3 in 4, 2, -1, 1/2?
4
What is the closest to -0.3 in 0, -1, -2?
0
Which is the nearest to -5? (a) 0.5 (b) 3/2 (c) -0.4 (d) 1/12
c
Which is the nearest to 1? (a) -1 (b) -7 (c) -0.1 (d) -2
c
Which is the nearest to 1/12? (a) -1/6 (b) -0.2 (c) -8
a
Which is the closest to -1? (a) -198 (b) 2/3 (c) -5
b
What is the nearest to 1/3 in -31, 1/10, 1?
1/10
What is the nearest to 1/2 in -5, -1.9, 1/5, -1?
1/5
What is the closest to 0 in -0.4, -0.9, -0.08?
-0.08
What is the closest to 2/3 in 3, -8/17, 0.4, 5?
0.4
What is the closest to 2/3 in 3.8, -1, -2/13, 2?
-2/13
Which is the closest to 1/2? (a) -0.9 (b) 2 (c) 3
a
Which is the nearest to -0.3? (a) 2/3 (b) 0 (c) -5 (d) -59
b
Which is the nearest to 4/7? (a) -2/7 (b) 0.2 (c) 2 (d) -0.3
b
What is the closest to 15 in -22, -1, -2, 3?
3
What is the closest to -2/9 in -0.5, -40, -4?
-0.5
What is the closest to 3/4 in 0, -1, -0.4?
0
Which is the nearest to 37? (a) 2/15 (b) -2/5 (c) -71
a
Which is the closest to 24? (a) 0.1 (b) -0.5 (c) -1/11 (d) 4
d
What is the closest to 1 in -9, -4, -0.04, 2/3?
2/3
Which is the nearest to -0.1? (a) -0.5 (b) -1973 (c) 2
a
What is the closest to -4 in -0.033, -5, -4/3?
-5
What is the closest to 1 in -30, 1, -0.1, 0.2?
1
Which is the closest to -5? (a) 0.01 (b) 4 (c) -1
c
What is the nearest to -1.5 in 29, -5/2, 2?
-5/2
What is the closest to 3/7 in -2, 7, 1/2, -5?
1/2
What is the closest to 0.2 in -3, 3, -0.1, -1?
-0.1
Which is the closest to -0.1? (a) -6 (b) 2/19 (c) 10
b
Which is the nearest to -1? (a) -0.1 (b) 4 (c) -12
a
Which is the closest to -2/3? (a) 37 (b) -2/9 (c) -5
b
What is the nearest to 1 in -2, -2/3, -1, 4/5?
4/5
What is the nearest to 1/18 in -1, 4/7, -3/5, -4?
4/7
Which is the nearest to 1? (a) -5 (b) -22 (c) 3 (d) -3
c
Which is the nearest to -1/3? (a) -0.5 (b) 0.03 (c) 0
a
What is the nearest to -1 in 2/9, 2/7, 16?
2/9
What is the closest to 2/3 in 1.6, -1/3, 0?
0
What is the closest to 1/3 in -1, 37, -0.362?
-0.362
Which is the nearest to 10? (a) 4 (b) -6/5 (c) 3
a
Which is the closest to -2/7? (a) 4 (b) -23 (c) -1/3
c
Which is the closest to 1? (a) -4 (b) 0.4 (c) 4/19 (d) -0.4
b
What is the nearest to -3 in 4, -0.3, -0.5, 6?
-0.5
Which is the nearest to -1? (a) 2/11 (b) 0.05 (c) 2
b
Which is the nearest to -2/3? (a) 4 (b) -0.3 (c) -0.06
b
Which is the closest to 6? (a) 0.3 (b) 0.08 (c) 1
c
What is the nearest to -7 in -4, 4, 65?
-4
Which is the nearest to 0.2? (a) -0.5 (b) 4 (c) 0.05 (d) -2
c
Which is the closest to 0.11? (a) -2/17 (b) -2 (c) -5/3 (d) 1
a
Which is the nearest to -1? (a) 3/4 (b) -1/8 (c) -54
b
What is the closest to 1/6 in -0.4, -1, 0.03?
0.03
What is the nearest to -2/7 in -4, 0.4, -0.137?
-0.137
What is the nearest to 1/6 in -4, 0.2, -0.5, -1?
0.2
What is the nearest to -2 in 0.1, 7/4, 1, -2?
-2
Which is the nearest to 1? (a) 84/11 (b) 0 (c) -4
b
What is the closest to -5 in -1/3, -1/7, -0.1, 0.1?
-1/3
What is the closest to -0.1 in -1, -1/7, 4, -154?
-1/7
What is the closest to 1/4 in 7, -1/2, -0.2?
-0.2
What is the nearest to -5 in -11, 5, -0.2, -0.4?
-0.4
What is the closest to 5 in 0, -6, 1.5?
1.5
Which is the nearest to 0? (a) 0.2 (b) 70 (c) 0.1 (d) 0.4
c
Which is the closest to -1? (a) 38 (b) 2 (c) 2/9 (d) 8/3
c
What is the nearest to 2/3 in -5, 0.06, 3/5, 4?
3/5
What is the closest to 3/2 in -0.29, -6, 4?
-0.29
What is the closest to -1/3 in -0.077, 3, 4?
-0.077
Which is the nearest to 0.05? (a) -2/3 (b) 0 (c) -0.07 (d) -8
b
Which is the closest to 7/2? (a) -4/9 (b) -1 (c) -4
a
Which is the nearest to -4? (a) 2/5 (b) 2/27 (c) -2/23
c
Which is the nearest to -1/2? (a) 43 (b) 2 (c) -2/11
c
Which is the closest to -5? (a) -5/2 (b) 14 (c) 4 (d) -0.08
a
Which is the closest to -0.2? (a) -2/7 (b) -3 (c) 13
a
Which is the closest to -1/23? (a) 3/8 (b) -1 (c) -5/2
a
Which is the nearest to 7/2? (a) 5 (b) -1 (c) 0.64
a
Which is the closest to -0.1? (a) -0.03 (b) -2/9 (c) -6
a
What is the nearest to 2/7 in 1, -0.3, 82, -3?
-0.3
What is the nearest to 3 in 0.1, 0.04, -2, 2?
2
What is the closest to -0.1 in 3, -140, 2, 0.5?
0.5
What is the closest to -2/7 in 3/4, 1.6, -1/112?
-1/112
What is the closest to 0 in 0, -430/11, 0.3, 0.1?
0
What is the nearest to 28 in -2/5, -5, 0.2?
0.2
What is the nearest to -0.107 in 0.5, 3, 0?
0
What is the nearest to 0 in 3, 2/7, 1, 0?
0
What is the closest to -1 in 4, 0, -9/4, 1/10?
0
What is the nearest to -2/19 in 4, -4, 8, 0?
0
Which is the closest to 1? (a) 1 | {
"pile_set_name": "DM Mathematics"
} |
than -671088?
False
Are -1 and 6/71055685 equal?
False
Which is smaller: -127/125005 or -1?
-1
Which is smaller: 2026/26127 or -1/2?
-1/2
Is 1012011 equal to 1011996?
False
Are -69 and -11051/163 nonequal?
True
Do -160344093 and -160344088 have the same value?
False
Which is smaller: -0.4328 or 3/179?
-0.4328
Which is smaller: 48458 or 48409?
48409
Which is bigger: 261/17 or -7/3601?
261/17
Which is bigger: 1 or 9/72902117?
1
Is 0.3 at most as big as -225434.119?
False
Is -1897/4 >= -133310?
True
Which is smaller: -4/190832389 or 0?
-4/190832389
Which is smaller: 2997 or 0.0652?
0.0652
Which is smaller: -182316506 or -182316507?
-182316507
Is 0 equal to -1/1849016606?
False
Are -1 and -7709721 unequal?
True
Is 4/2169169935 greater than or equal to 0?
True
Does 127444049/4 = 31861011?
False
Is 18835988 at least as big as 18835990?
False
Are 1404/153293 and 0 equal?
False
Is 188624726/3 > 62874909?
False
Is -16.71 bigger than -1/3365?
False
Which is bigger: -15289489 or -15289456?
-15289456
Which is greater: -397 or 1464.1?
1464.1
Which is smaller: 0.22 or 1331590?
0.22
Which is smaller: -44.318 or 2682?
-44.318
Is 155/133878 <= 1?
True
Is 783831081 > 783831082?
False
Is -20591/5777 > -3?
False
Which is bigger: 58298/4215 or 15?
15
Which is smaller: 5748820 or 5748823?
5748820
Which is greater: 705169 or -7/64?
705169
Is -1022850 at least -1022852?
True
Which is smaller: 226343 or 2263417/10?
2263417/10
Is 288945 less than or equal to 288902?
False
Which is greater: -22767/5935 or -3?
-3
Which is bigger: 94120 or 94456?
94456
Is -0.324 != -568.9?
True
Is -5319 < 258?
True
Is -412 < -199096?
False
Is 12370786 greater than or equal to 12370786?
True
Which is smaller: 8718343 or 8718341?
8718341
Is -130 at most -3030.4?
False
Is -957269 bigger than -957268?
False
Which is bigger: 3846 or 2022?
3846
Which is smaller: 1 or -3/6229754?
-3/6229754
Which is bigger: 428/7 or -2389.1?
428/7
Which is smaller: 555 or -853419?
-853419
Which is smaller: -1 or 4/325013017?
-1
Do 14354198/35 and 410120 have the same value?
False
Are -1587 and -1270 nonequal?
True
Which is smaller: -168696 or -3205248/19?
-3205248/19
Is 36365 < 36314?
False
Which is smaller: 2/41107243 or 1?
2/41107243
Is 1 > 2/32650371?
True
Which is greater: 1 or 2/105433561?
1
Is -73 <= -138532?
False
Is -1 at most 4372/20867?
True
Is -27/14556340 at most 1?
True
Is 1 < -90/900319?
False
Which is bigger: 652/3538819 or 0?
652/3538819
Which is greater: 1342436032 or 1342436033?
1342436033
Is -8310 less than -8346?
False
Is 2036547 at least as big as 2036548?
False
Is 0 at most -1804/110051?
False
Is -4/11147 at most 129?
True
Is -734805 less than -16900522/23?
False
Which is smaller: 0 or 2/19382301?
0
Which is greater: 12543 or 12313?
12543
Is 13/2235 >= 1300/11?
False
Is 21/15356 at least as big as 0.026?
False
Which is bigger: -14334092 or -14334087?
-14334087
Is -6690707 >= -6690708?
True
Is 191046 greater than or equal to 23?
True
Is 7881/80690 greater than 1?
False
Is 1 != -2/464127395?
True
Is -157381881 greater than or equal to -157381886?
True
Which is bigger: 3027141 or 3027144?
3027144
Are 1 and -588/10189 non-equal?
True
Is 862 equal to 580670?
False
Is 6693 greater than or equal to 1213/8?
True
Which is greater: 482353 or 482355?
482355
Is -260188 != -260180?
True
Is -0.054 at least 22858?
False
Do -8/6541071 and -1 have the same value?
False
Which is greater: 1 or 2/22203623?
1
Which is smaller: -3267541 or -3267539?
-3267541
Which is greater: -15342.649 or 0.3?
0.3
Is -255865 greater than 3/7?
False
Is -0.2 > -29745340?
True
Is -37129 greater than or equal to -37807?
True
Which is smaller: -9662780 or -125616150/13?
-125616150/13
Which is greater: 0 or -73/3016780?
0
Are 1078492 and 1078492 unequal?
False
Is 64170770/51 >= 1258251?
False
Is 6/30559 greater than or equal to -0.396?
True
Do -4 and -13979/3594 have the same value?
False
Which is smaller: 307801 or 309344?
307801
Are 2914817 and 40807421/14 equal?
False
Is -1213528/43 less than -28221?
True
Is 6/11 > -227.59?
True
Is -458963852 <= -458963852?
True
Which is greater: 4289 or 3804?
4289
Which is greater: -738.2 or -34218?
-738.2
Is -8082050 bigger than -8082051?
True
Is -1/4 at most -13086988?
False
Is -57931846 bigger than -57931846?
False
Is 345608 greater than -2632?
True
Does -4079936 = -4080016?
False
Is -2822070230 equal to -2822070230?
True
Is 430297 greater than 430657?
False
Which is smaller: 54450 or 54342?
54342
Which is smaller: -647 or -65647.6?
-65647.6
Is 4621 greater than 3924?
True
Is -24175730 not equal to -24175728?
True
Which is greater: -6/49 or 1766896?
1766896
Which is greater: 8/129 or -117/1652?
8/129
Which is greater: -0.16635666 or -2?
-0.16635666
Which is smaller: 4763716 or 4763722?
4763716
Which is smaller: -2/533005283 or 0?
-2/533005283
Which is bigger: 226458 or 226453?
226458
Does -2/139740195 = 1?
False
Which is bigger: -25 or -98997/3874?
-25
Which is smaller: -5403005 or -5403024?
-5403024
Which is smaller: 419844 or 422194?
419844
Is 3 at least as big as 11901/2806?
False
Which is smaller: 1300382 or 1300393?
1300382
Which is greater: 10962474 or 10962465?
10962474
Which is smaller: -0.075 or -19.42?
-19.42
Which is smaller: 338181015 or 338181016?
338181015
Does 8/4743 = -40?
False
Is -25/5999728 equal to 0?
False
Are 1351557/31 and -1/8 non-equal?
True
Does -62 = -1618280?
False
Are -54 and 16744 equal?
False
Is 34165651 smaller than 34165651?
False
Are -563811/257 and -2193 non-equal?
True
Do 312/3093733 and 0 have the same value?
False
Which is greater: 16305166 or -3?
16305166
Is -37 >= 245822?
False
Which is greater: -5206 or -5849?
-5206
Are 282444 and 12 nonequal?
True
Which is bigger: 135305 or 135310?
135310
Is 50.94 < -461?
False
Do -4941138 and -3/5 have the same value?
False
Is 0 equal to 2/1177362975?
False
Is 15606783 != -0.1?
True
Which is greater: 52949923 or 52949922?
52949923
Which is smaller: 1610 or 4429?
1610
Is -1 != 13/43893608?
True
Is 121599 at most 1823981/15?
False
Is -2343446 > -2343445?
False
Is -1/7 not equal to -3/12850342?
True
Does -1137951 = -1?
False
Is -0.082 less than or equal to -2439516?
False
Are -4315582 and -4.3 equal?
False
Which is smaller: -239681 or -239737?
-239737
Is -5610 > -3379?
False
Which is bigger: -2 or -4685/2492?
-4685/2492
Which is bigger: -36988 or -36573?
-36573
Which is bigger: 118075 or 117605?
118075
Which is smaller: -505 or -35024?
-35024
Which is greater: 2/1349727571 or -1?
2/1349727571
Which is smaller: 5331 or -929?
-929
Is -3 smaller than -12754876?
False
Which is greater: -3970942 or -3970951?
-3970942
Which is smaller: -28129/97 or -289?
-28129/97
Are -105 and 86729 nonequal?
True
Which is bigger: 37812 or 34424?
37812
Which is smaller: 26656505 or 26656508?
26656505
Which is bigger: -156702 or -156818?
-156702
Which is bigger: 1 or 26/50009?
1
Is 15146941 less than 15146945?
True
Which is greater: -5 or -14180/2577?
-5
Which is bigger: -4407754 or -4407755?
-4407754
Which is smaller: -1908067 or -15264529/8?
-1908067
Which is bigger: -1 or 6685924/9?
6685924/9
Which is smaller: -14 or 19357446?
-14
Which is greater: 2 or -11669712?
2
Which is bigger: 0 or -754.27465?
0
Which is smaller: 4515/2 or 7401?
4515/2
Is 15/368 != 1026?
True
Which is smaller: -8736 or -2035?
-8736
Is -100407 equal to -98195?
False
Which is bigger: 0.1 or -195985475?
0.1
Which is smaller: 4/7 or 9084815?
4/7
Is -885104 less than or equal to -885103?
True
Which is smaller: -44765 or -44757?
-44765
Which is bigger: 0 or 12590893?
12590893
Is 0 equal to 14/25076809?
False
Is -165196/687 less than -241?
False
Which is bigger: 1/42928658 or 1?
1
Are 2389137/7 and 341305 equal?
False
Which is greater: -4/45 or 38499?
38499
Are 1/2 and -1530/21433 unequal?
True
Which is smaller: -4/271533089 or 0?
-4/271533089
Which is smaller: -1 or -53/19201524?
-1
Which is smaller: 10256 or 3497004/341?
3497004/341
Which is bigger: -1871 or 7161?
7161
Which is smaller: -7192773 or -21578318/3?
-7192773
Which is greater: 11/1804598 or 0?
11/1804598
Is 1/303059370 at most -1?
False
Which is greater: 2850 or 505?
2850
Is -15/434 bigger than 31/194?
False
Is 840 bigger than -292.73?
True
Which is greater: 49980 or 48315?
49980
Which is bigger: -7294 or 26 | {
"pile_set_name": "DM Mathematics"
} |
Suppose 9*c - 108 = -81. Is 4/(-10) - ((-9387)/35)/c composite?
False
Let w(c) = -28467*c + 983. Is w(-2) prime?
True
Suppose 4295237 = -44*c + 361*c + 390114. Is c a composite number?
True
Let i(k) = -955*k**3 + 6*k**2 - 31*k + 27. Is i(-8) prime?
False
Let b(x) be the second derivative of 29*x**4/12 + 3*x**2/2 - 2*x. Let f be b(-2). Let d = f + -30. Is d composite?
False
Let s be -123 + ((-21)/4 - 15/(-60)). Let f = s - -12051. Is f composite?
False
Suppose -3*o + 23 = 2*x, -3*x + 26 + 1 = 3*o. Suppose -6*d + x = -8*d, -d - 660 = -2*q. Is q composite?
True
Suppose 7*b = -0*b + 2*b. Suppose 2*n + 5*v + 0*v - 22 = b, 3 = -n + v. Is -447*(0 - -1)*(n - 2) a composite number?
True
Suppose 1441205 = 3*o + 4*a, 3*a + 9490 = 5*o - 2392470. Is o a composite number?
True
Is (2/6)/(-12 - (-923)/78) - -410929 prime?
False
Is (-1319004)/(-23) + -4 + 19 composite?
True
Let k(w) = -2*w**3 - 6*w + 9. Let o be k(-6). Suppose 2*p = -5*v + 4*v + o, -v + 501 = -4*p. Is v prime?
False
Suppose -4027*v + 36 = -4031*v. Let l(m) be the second derivative of -3*m**3/2 + 3*m**2 + m. Is l(v) a composite number?
True
Suppose 16 = -4*b, 5*s - 11*b + 13*b + 458 = 0. Let o = s + 90. Suppose o = -4*t + 17*t - 1339. Is t prime?
True
Let m(a) = 687*a**2 + 3*a + 3. Let q be -4 + (21/4 - (-15)/20). Is m(q) composite?
True
Let a(g) = -2092*g + g**3 - 31 + 18*g**2 + 4176*g - 2104*g - 2*g**3. Suppose 5*o - 20 = 45. Is a(o) a prime number?
False
Let x = 195504 - 99365. Is x a composite number?
True
Let m(t) be the first derivative of -7*t**2/2 - 4. Let i be m(-1). Suppose 0 = -i*y + 2396 + 362. Is y prime?
False
Let r(g) = -2*g**3 - 31*g**2 - 15*g + 13. Let d be r(-15). Suppose d*i = 18*i - 29245. Is i prime?
True
Let l = -16 - -24. Let w(z) be the first derivative of z**3 - 3*z**2/2 - 9*z - 95. Is w(l) composite?
True
Let h be 2105/((-7)/(-6 - 1)). Suppose 0 = -2*g + h + 1841. Is g a prime number?
True
Suppose 15*m = 58*m - 2029901. Is m a composite number?
False
Suppose -3*u = -10360 + 1534. Suppose 0 = -435*b + 437*b - u. Is b a composite number?
False
Let k be ((-4944)/4 - 4)*-4. Suppose -9*a + 14*a = k. Is (1/4)/(8/a) prime?
True
Suppose -2*a + 209841 = -132*q + 137*q, -104898 = -a - 7*q. Is a a prime number?
True
Let x(y) = 3*y**2 - 8*y - 2. Let f(h) = h**3 - 2*h + 7. Let z(b) = 8*b - 40. Let g be z(5). Let u be f(g). Is x(u) a composite number?
False
Suppose 4*g - 63016 = -3*d + 1309359, -457470 = -d + g. Is d prime?
False
Let h(u) = -2*u**2 + 8*u. Let w be h(4). Suppose w = -12*a + 7*a + 10. Is a/(-4) - (-2835)/14 a prime number?
False
Suppose -15 = -3*t, 1174 = 5*c - 4*t - 561. Let x = 547 - c. Let h = x + 601. Is h a composite number?
False
Let n = -11523 - -31112. Is n composite?
True
Let f = 10682 + -17508. Let i = 3036 - f. Is i composite?
True
Let r(k) = 11644*k**2 - 7*k. Is r(-1) composite?
True
Let b(p) = 3*p + 25. Let o be b(-7). Suppose 5*c + o*t + 6 - 41 = 0, 3*t = 4*c + 3. Suppose 0 = -c*m + 6*m - 2631. Is m prime?
True
Let n = 4431354 + -2616497. Is n a prime number?
False
Let p be ((-48)/(-40))/((-4)/(-10)). Suppose -10245 = -5*k - 5*u - 2695, 7556 = 5*k + p*u. Is k prime?
False
Let t be -3*2*255/(-9). Let c = 409 - 512. Let z = c + t. Is z a composite number?
False
Let w(y) = 47*y**2 + 26*y + 121. Let a be w(-9). Let s = a - 2292. Is s composite?
True
Let a(z) be the first derivative of 65*z**2/2 + 7*z - 11. Let x be a(-6). Let q = x - -876. Is q prime?
False
Is -11*(-2)/11*1 - -71*177 a prime number?
True
Let c be (-9)/(-15) - (-51)/15. Suppose 16 = c*o, -o - 1575 = -z - 3*o. Is z composite?
False
Let w be (-27)/(1620/24) + (-102)/(-5). Suppose -66094 = w*t - 22*t. Is t a composite number?
True
Suppose 5*i - 107 = 2*v + 86, 2*i + 4*v = 82. Suppose 33*q = i*q - 64842. Is q composite?
True
Let q(w) = w**2 - w. Let r(k) = 3*k**2 - 11*k + 4. Let y(j) = 4*q(j) - r(j). Is y(6) a prime number?
False
Suppose 11*u = 744416 + 175679. Is u a prime number?
False
Let a(z) = 15*z**2 + 25*z + 1207. Is a(54) a composite number?
True
Let s = -253935 - -401854. Is s composite?
False
Is 0 - 1*-64439 - (-484)/121 a prime number?
False
Let f(o) = 136*o**2 - 15*o. Let c be ((-3)/18*-3)/(2/28). Is f(c) a composite number?
True
Let g(z) = -59*z - 45 + 69*z + 102*z**2 - 24*z**2. Is g(7) composite?
False
Is (11 + -732916)*(-2 + (-27)/(-15)) composite?
False
Suppose -5*r - 41 = -4*t - 6, 0 = -t + 2*r + 11. Suppose t*d - 20 = -y, y - 2 + 9 = 4*d. Suppose -y = -5*c, 5*c = -4*q + 3*c + 24270. Is q a prime number?
True
Suppose 137307 = -100*u + 538007. Is u a composite number?
False
Suppose 11*u = 13*u - 30. Let i be ((-21)/4)/((15/4)/u). Let x(s) = -s**3 - 16*s**2 + 41*s - 5. Is x(i) a composite number?
True
Suppose -308110 - 78296 = -9*a. Is a a prime number?
False
Let r(z) be the second derivative of z**5/20 - 13*z**4/12 + 11*z**3/3 + 31*z**2/2 - 55*z. Is r(16) a composite number?
False
Suppose 125*a = 112*a + 657007. Is a prime?
True
Suppose 41459 + 5712 = 3*f - 2*u, -78655 = -5*f - 4*u. Is f composite?
False
Let i = -39 + 43. Suppose 0 = -0*t - i*t + 2368. Let r = 899 - t. Is r composite?
False
Let s(k) = -8 + 4 + 5 + 2 - 68*k. Is s(-6) prime?
False
Is (-60)/(-45) - (-558895)/15 a composite number?
True
Is (4/(-2))/(-10 + 463728/46373) prime?
False
Let r be 4/16 + -1*(-23)/4. Suppose 2*p = -4 + r. Is (380/2 - 1) + p + 1 a composite number?
False
Suppose 932786 = 11810*n - 11772*n. Is n composite?
False
Suppose -4*d + 523 = 31. Let f(i) = 694 + 5*i + 172 - d. Is f(0) prime?
True
Suppose -f + 20575 = -3*x, -19*f - 41156 = -21*f + 5*x. Is f a prime number?
True
Let z(q) = 0 - 8 + 3 + q + 0. Let x be z(9). Suppose -3165 = x*s - 7*s. Is s a composite number?
True
Let s be (-8 - -9)/(4/8). Is (-161095)/(-35) + s/7 a prime number?
True
Let l = 1580 + 2454. Is (-2)/(-52)*l + (-24)/156 a composite number?
True
Let g(k) = -2818*k + 1525. Is g(-12) composite?
True
Let k(i) = 1. Let l(d) = -258*d + 147. Let j(t) = -4*k(t) + l(t). Is j(-7) a prime number?
True
Let i be (-5)/15*(-3 + -21). Let n(a) be the second derivative of 23*a**3/3 + 5*a**2/2 + a. Is n(i) prime?
True
Suppose 4*t = -4*t - 24*t + 8828192. Is t composite?
False
Suppose 4*p - 1439524 = 2*s, 3*p - 45*s - 1079658 = -41*s. Is p a composite number?
True
Let f(y) = -2*y**3 + 2*y**2 + 5*y - 6. Let p be f(2). Let n be (p/8 - 0)*6. Is -3 - (n/1 - 1049) composite?
False
Let k(h) = -h**3 - 8*h**2 + 6*h - 15. Let f be k(-9). Let d(y) = -30 + 7*y + 37 + 2*y**2 + f*y**2. Is d(10) prime?
False
Let h be -2 - ((-7)/((-14)/(-12)) + 0). Suppose h*k + 1346 = 474. Let s = 33 - k. Is s prime?
True
Let t = -1747 - -4064. Is t a composite number?
True
Let q be (4/3)/2*(-60)/(-8). Suppose 0 = -2*p - q*h + 3438, 2*p - 4050 + 618 = -2*h. Suppose 4*w - 4*y + 106 = p, -y + 1226 = 3*w. Is w composite?
True
Let a(z) = 2*z + 48*z**2 - 9 - 83*z**2 + 3. Let m(c) = 141*c**2 - 7*c + 23. Let v(t) = -9*a(t) - 2*m(t). Is v(3) composite?
False
Let z(u) = 27*u**2 - 6*u + 8. Let q = 49 + -47. Suppose 6*p + q*j - 30 = 2*p, 2*p = -4*j + 30. Is z(p) composite?
False
Let i = 1399 + -351. Let y = 2191 - i. Let x = y + -706. Is x a composite number?
True
Let p = 32 + -15. Suppose -p = -3*x - 2. Is (-23981)/(-6) + x/30 a prime number?
False
Let x(r) be the third derivative of r**6/120 + r**5/20 - 7*r**4/8 - 8*r**3/3 + 11*r**2. Let c be x(11). Let a = c - 978. Is a a prime number?
False
Suppose 18*s - 22897 - 48743 = 0. Suppose -u + a + s = 2*a, -4*a + 7966 = 2*u. Is u composite?
True
Suppose 5*y = u + 7217, -3*u - 3*y - 10191 - 11478 = 0. Let w = 12044 + u. Is w a prime number?
False
Let i = 22 + -18. Suppose 0 = i*k - 3138 - 14426. Is k composite?
False
Let d(n) = -21*n - 20. Let m = -41 + 33. Let z be d(m). Let i = z + -102. Is i a prime number?
False
Let i(s) = 340*s - 36. Let o be i(4). Is o/(6/(-120)*-16) a composite number?
True
Suppose -v - 6*h = -h - 4702, -4*h + 4703 = v. Suppose -v = -3*j - 2*l + 5*l, 3*l = j - 1565. Is j a prime number?
True
Let a(b) = 2036*b + 978. Is a(20) composite?
True
Let d = 11835 + -186. Suppose -8*z + d = -4967. Is z prime?
False
Let x(k) = -k**3 + 6*k**2 + 8*k - 11. Let w(l) = -l**2 - l. Let i(z) = 3*w(z) - x(z). Let u be i(10). Is -127*5/5*(-1)/u a prime number?
True
Let s(c) be the second derivative of 608*c**4/3 - 5*c**3/6 + 11*c**2 | {
"pile_set_name": "DM Mathematics"
} |
4/(-26))*24. Solve -48/7*f**2 - 64/7*f - 16/7*f**3 - d - 2/7*f**4 = 0.
-2
Let a = -1561 - -1561. Find f such that -2/5*f**3 + 0*f + 0*f**2 + a = 0.
0
Let g(n) be the second derivative of -10*n**4/3 - 25*n**3/6 + 15*n**2/2 + 97*n. Factor g(v).
-5*(v + 1)*(8*v - 3)
Let w(x) be the second derivative of 0 - 12*x + 1/3*x**3 + 0*x**2 - 1/6*x**4 + 1/15*x**6 - 1/10*x**5. Factor w(o).
2*o*(o - 1)**2*(o + 1)
Let i = 137 + -133. Let s(m) be the third derivative of -5*m**2 + 1/600*m**6 + 0*m**3 + 0*m + 0 - 1/120*m**i + 0*m**5. What is a in s(a) = 0?
-1, 0, 1
Factor -46/17 - 2/17*j**2 - 48/17*j.
-2*(j + 1)*(j + 23)/17
Let z = -4362 - -4364. Let -4/5*q**3 + 0 - 8/5*q**z + 4/5*q**4 + 0*q = 0. Calculate q.
-1, 0, 2
Let q(p) be the second derivative of p**7/10080 + p**6/2880 - p**4/12 + 7*p. Let j(s) be the third derivative of q(s). Factor j(l).
l*(l + 1)/4
Factor -84 + 117*a + 5*a**2 - 4*a**2 - 37*a + 3*a**2.
4*(a - 1)*(a + 21)
Factor -7/3*b**2 + 0*b + 0 - 1/3*b**5 - 3*b**4 - 5*b**3.
-b**2*(b + 1)**2*(b + 7)/3
Let j(y) be the second derivative of 2*y**7/105 - 2*y**6/15 + 4*y**5/15 - 43*y**2/2 + 30*y. Let g(b) be the first derivative of j(b). Let g(n) = 0. Calculate n.
0, 2
Suppose 2*j = -2*l + 14, -l - 14 = 2*l - 4*j. Let b(w) be the second derivative of -2*w + 3/8*w**l + 0 + 1/16*w**4 - 1/4*w**3. Determine r, given that b(r) = 0.
1
Suppose 10*p - 40 = 6*p. Let o be 3/p*(-2 + (0 - -10)). Solve o*x**2 + 64/5 - 48/5*x - 1/5*x**3 = 0.
4
Let g(s) be the third derivative of -s**8/6720 - s**7/1680 + s**6/360 + s**5/60 + 8*s**3/3 + 23*s**2. Let m(d) be the first derivative of g(d). Factor m(u).
-u*(u - 2)*(u + 2)**2/4
Suppose -15 = -2*s - 3*j, -s - 194*j + 7 = -193*j. Suppose -3/4*r**2 + 9 - s*r + 3/4*r**3 = 0. What is r?
-3, 2
Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 0 - 25/12*z**4 - 1/2*z**6 + 4*z - 4*z**5. Solve m(q) = 0.
-5, -1/3, 0
Let s = 2119/22 - 1054/11. Factor q**3 + 0 - s*q**2 - 1/2*q.
q*(q - 1)*(2*q + 1)/2
Let z(o) = 4*o**5 - 72*o**4 + 172*o**3 - 152*o**2 + 40*o. Let x(t) = t**5 - 24*t**4 + 58*t**3 - 51*t**2 + 13*t. Let i(j) = -8*x(j) + 3*z(j). Factor i(h).
4*h*(h - 2)**2*(h - 1)**2
Let n(w) = w**3 + 6*w**2 + 5*w - 10. Let h = 16 - 20. Let v be n(h). Determine m, given that -1/4*m - 1/8 - 1/8*m**v = 0.
-1
Solve 10*v**4 - 32 - v**5 + 35*v - 32*v**2 - v**5 + 9*v - 8*v**3 + 20*v = 0.
-2, 1, 2
Let f(y) = 5*y**2 - 30*y + 2. Let n be f(6). Let r(g) be the second derivative of -3/2*g**n + 5*g - 3/20*g**5 - 3/4*g**4 + 0 - 3/2*g**3. Factor r(l).
-3*(l + 1)**3
Let c be (-2125)/(-34) + (-1)/((-2)/4). Let b = 66 - c. Determine h, given that 1/2*h**2 + 1 - b*h = 0.
1, 2
Suppose -75*o - 25 + 88 = -87. Factor -7/2*r**2 - o - 8*r.
-(r + 2)*(7*r + 2)/2
Let z(k) be the third derivative of -5/21*k**3 + 0*k + 0 - 1/24*k**4 - 15*k**2 - 1/420*k**5. Factor z(m).
-(m + 2)*(m + 5)/7
Let b = 7/332 + 1223/4980. Let z(r) be the second derivative of 0 - 1/3*r**3 - 1/21*r**7 - 2/3*r**4 + 0*r**2 - 7*r - 3/5*r**5 - b*r**6. Factor z(v).
-2*v*(v + 1)**4
Find x such that -220/9*x**2 + 4/9*x**5 + 8*x + 0 - 28/3*x**4 + 76/3*x**3 = 0.
0, 1, 18
Let k(w) be the third derivative of 0*w - 1/78*w**5 - 4/39*w**3 + 0 - 10*w**2 - 2/39*w**4 - 1/780*w**6. Factor k(q).
-2*(q + 1)*(q + 2)**2/13
Let k(h) be the third derivative of -h**7/525 - 3*h**6/25 - 194*h**5/75 - 96*h**4/5 - 1024*h**3/15 - 782*h**2. Solve k(p) = 0.
-16, -2
Suppose 2*x - x = -3*x. Factor -3/7*k**4 + 0*k + 6/7*k**2 + x*k**3 - 3/7.
-3*(k - 1)**2*(k + 1)**2/7
Let m = 7 + 21. Factor 4*z**3 - 20 - m*z**2 + 4*z + 3*z + 17*z + 20*z.
4*(z - 5)*(z - 1)**2
Factor -88/5*i**2 - 14/5*i**3 - 30*i - 36/5.
-2*(i + 3)**2*(7*i + 2)/5
Let l be 1 - (-2)/(-6) - (-326)/(-300). Let d = 2/25 - l. Let 0 - d*h - h**2 + 3/2*h**3 = 0. Calculate h.
-1/3, 0, 1
Let o(l) = l + 1. Let d be o(1). Factor -3*w**3 - 8*w - 10*w**2 - 4*w + 14*w**d + 11*w**2.
-3*w*(w - 4)*(w - 1)
Let x(d) be the second derivative of 7/1440*d**6 + 0 + d**3 + 0*d**2 + 0*d**4 + 1/240*d**5 + 9*d. Let h(m) be the second derivative of x(m). Factor h(o).
o*(7*o + 2)/4
Let -10/9*y + 2/9*y**2 + 4/3 = 0. Calculate y.
2, 3
Suppose 504*t**3 - 304*t**2 - 359*t**2 - 121*t**2 - 2*t**5 - 60*t**4 + 4*t**5 = 0. What is t?
0, 2, 14
Let i(f) = -5*f + 15. Let q(b) = -16*b + 46. Let p(x) = -10*i(x) + 3*q(x). Let g be p(7). Determine u so that -1/3*u**g + 2/3*u**3 + 0*u + 0 = 0.
0, 1/2
Let m be ((-6)/(-55))/(6/20). Suppose 0 = 22*x + 66*x - 182 - 170. Determine t, given that 6/11*t**x - m*t**3 + 0*t**2 + 0*t + 0 = 0.
0, 2/3
Let r(q) = -7*q**2 - 11*q + 7 + 2*q**3 - 3*q**2 + 3 + 3*q. Let x be (2 - 1)*(4 + -5). Let u(z) = -z**2 - z + 1. Let d(k) = x*r(k) + 6*u(k). Factor d(l).
-2*(l - 2)*(l - 1)*(l + 1)
Suppose 5*i + 27 + 3 = 0. Let h(f) = 6*f**3 + 8*f**2 + 7. Let y(c) = 5*c**3 + 7*c**2 + 6. Let u(t) = i*h(t) + 7*y(t). Find r such that u(r) = 0.
0, 1
Let u be 3 + (-1 - -5) + -7. Let x(q) be the second derivative of u - 1/18*q**4 + 1/90*q**6 - q + 0*q**3 + 1/6*q**2 + 0*q**5. Factor x(i).
(i - 1)**2*(i + 1)**2/3
Let q(a) be the first derivative of -2/17*a**2 + 7/34*a**4 + 41 - 10/51*a**3 + 0*a. Let q(k) = 0. What is k?
-2/7, 0, 1
Let o = -123/637 + 17/49. Factor 2/13*t**4 - 4/13*t**2 + 4/13*t**3 - 2/13*t**5 + 2/13 - o*t.
-2*(t - 1)**3*(t + 1)**2/13
Let r(y) be the second derivative of -y**4/6 - 20*y**3/3 - 64*y**2 + 161*y. Factor r(a).
-2*(a + 4)*(a + 16)
Solve 14/5*j + 0 + 2/5*j**2 = 0 for j.
-7, 0
Factor 1/5*u**3 - 14/5 - 16/5*u**2 + 29/5*u.
(u - 14)*(u - 1)**2/5
Let z(l) be the second derivative of 0*l**2 + 0*l**3 - l**6 + 5/42*l**7 - 7*l - 5/3*l**4 + 9/4*l**5 + 0. Find x, given that z(x) = 0.
0, 1, 4
Determine j, given that 4/17 - 50/17*j + 4*j**2 - 22/17*j**3 = 0.
1/11, 1, 2
Let a(v) = v**3 - 6*v**2 - 7*v + 1. Let k be a(7). Suppose 6 = 2*y + 4*x, 3*x - 14 = -5*y + k. What is g in -2/3*g**y + 0*g + 1/3*g**4 + 0 + 1/3*g**2 = 0?
0, 1
Let m be ((-2)/(-5))/((-2)/(-10)). Suppose 3*q**2 + 2*q - 8*q - q - m*q = 0. Calculate q.
0, 3
Let a = -21 - -23. Suppose 0 = 4*j + 4, -3*u + a*j + 3 = -5. Let -4/3*x**4 + u*x**5 - 4/3 + 2*x + 8/3*x**2 - 4*x**3 = 0. What is x?
-1, 2/3, 1
Let 6*f**3 + 74 - 30*f - 82 + 0*f**3 - 16*f**2 = 0. Calculate f.
-1, -1/3, 4
Let i = -2872733/9 + 318867. Let n = i + 326. Determine b, given that -2/9*b - 2/9*b**5 + 4/9*b**2 - 2/9*b**4 - 2/9 + n*b**3 = 0.
-1, 1
Factor x**3 + x**3 + 16*x - x**4 + 11*x**2 - 18*x - 10*x.
-x*(x - 4)*(x - 1)*(x + 3)
Suppose 128*h - 122*h - 120 = 0. Suppose -2*q + w + 3*w = -h, q + 4*w = -20. Let -2/13*u**3 + 0*u + 4/13*u**2 + q = 0. Calculate u.
0, 2
Suppose -2*l = -4 - 4. Suppose -2*r = -5*r - 6, -4*m - 4*r = -l. Factor 1/3*s**m - 1/3 - 1/3*s + 1/3*s**2.
(s - 1)*(s + 1)**2/3
Suppose -5*w + 84 = 7*w. Suppose 12*h = w*h. Determine g, given that h + 1/2*g**3 + 1/6*g**4 + 0*g + 1/3*g**2 = 0.
-2, -1, 0
Let f(c) be the first derivative of 2*c**6/3 + 8*c**5/5 - 2*c**4 - 16*c**3/3 + 2*c**2 + 8*c - 66. Let f(n) = 0. Calculate n.
-2, -1, 1
Let u(c) be the second derivative of -c**7/336 - c**6/60 + 5*c**4/48 + c**3/48 - 3*c**2/8 - 384*c. Determine l, given that u(l) = 0.
-3, -2, -1, 1
Let -34*s + 226*s + 1294 + 141 + 869 + 4*s**2 = 0. What is s?
-24
Suppose -3*n + 11 = -13. Suppose 4*d + 4*f = 6 + 2, -4*d - 2*f + n = 0. Determine l so that 2*l**3 - 3*l**4 + 3*l**3 - 8*l**3 - 3*l**d + 3*l + 6*l**4 = 0.
-1, 0, 1
Let h(l) = -20*l**2 - 120*l + 40. Let q(c) = 5*c**2 + 30*c - 11. Let y(r) = -6*h(r) - 25*q(r). Factor y(p).
-5*(p - 1)*(p + 7)
Let n(u) be the first derivative of u**7/840 - u**6/90 - u**5/24 - 14*u**3/3 - 15. Let j(q) be the third derivative of n(q). Factor j(i).
i*(i - 5)*(i + 1)
Let z(s) = -s**3 - 5 + 4*s**2 + 5 - 2*s + 4 - 4*s. Let f be z(2). Find x, given that 6/5*x + 3/5*x**2 + f = 0.
-2, 0
Suppose 0*w - 13 = -3*a + 5*w, -a = -5*w - 11. Factor -3 + 5 - 9 + 3*g + 3*g**2 + a.
3*(g - 1)*(g + 2)
Let t be (-1 - -2)*(1 - -1)*1. Let 4*z**t + 28/5*z**5 + 0 - 4*z**4 - 36/5*z**3 + 8/5*z = 0. Calculate z.
-1, -2/7, 0, 1
Let r(z) be the third derivative of 1/96*z**4 + 8*z**2 + 1/480*z**6 + 0 + 0*z + 1/120*z**5 + 0*z**3. Factor r(t).
t*(t + 1)**2/4
Let r(o) be the first derivative of 0*o + 10/9*o**3 - 2/3*o**5 + 1/3*o**4 - 2/3*o**2 - 35. Suppose r(x) = 0. What is x?
-1, 0, 2/5, 1
Let r be 16/((-48)/9) + 7. Factor -2/15*b**3 + 0*b + 0*b**2 - 2/15*b**r + 0.
-2*b**3 | {
"pile_set_name": "DM Mathematics"
} |
t = -94, 4*t - f = -0*b - b. What is the greatest common divisor of b and 184?
46
Let k = -86 + 141. Let d be (84/(-8))/((-1)/2). Let a = -10 + d. Calculate the greatest common divisor of k and a.
11
Suppose -98*n - 840 = -106*n. What is the greatest common divisor of n and 45?
15
Let t(s) = 4 + 0*s + 0 - 2*s + 3*s. Let q be t(7). Calculate the highest common factor of q and 121.
11
Let y be (0 + 1 - 0)*-2. Let f be y + 2 + (-8)/(-4). Suppose 0 = -s + 4*o + 2, 0 = 2*s + o + 2*o - 59. Calculate the greatest common divisor of f and s.
2
Suppose -3*p + 2*d = -1087, -1 = 5*d - 6. Suppose 7*l = p - 13. Calculate the greatest common factor of 25 and l.
25
Let u(l) be the second derivative of 7*l**3/3 + l**2 - 17*l. Let o be u(2). What is the highest common divisor of 50 and o?
10
Suppose -4590 - 975 = -53*s. Let w = 35 - 20. What is the highest common divisor of s and w?
15
Suppose 0 = -3*f + 6*f - 459. What is the greatest common factor of f and 68?
17
Suppose 26*y - 2166 = 20*y. Calculate the greatest common divisor of y and 38.
19
Let g(v) = -8*v**3 - 17*v**2 - 11*v - 9. Let k be g(-5). What is the highest common factor of 46 and k?
23
Suppose 3*n - 8*n + 110 = f, 2*f = 4*n + 178. Let s be 16/(-12) - 1/(-3). Let b be 1 - -17 - (0 + s). What is the highest common factor of f and b?
19
Let d = 16 + -6. Suppose 0 = 2*l - 24 - d. Let c = 145 + -9. What is the highest common factor of l and c?
17
Let r = 1388 + -1163. Calculate the greatest common divisor of 180 and r.
45
Let t(x) = 3*x**2 + 18*x - 180. Let a be t(6). Suppose h - 8 = -2*g + 6, 5*h - 5*g = 145. Calculate the greatest common factor of h and a.
12
Let t(w) = -2*w**2 + 19*w + 6. Let f be t(9). Suppose -4*n + f + 21 = 0. What is the greatest common factor of 27 and n?
9
Let u be 5/5 + (55 - -8). Calculate the highest common factor of u and 832.
64
Let g(f) = -7 + 4*f + 4*f + f**2 - 7*f. Let j be g(0). Let t = 10 + j. What is the greatest common factor of 15 and t?
3
Suppose 4*s - 138 = 2*h, 9 = h - 4*h. Let z = 32 + s. What is the highest common divisor of 13 and z?
13
Let s be -2 + (20/40 - 69/(-2)). What is the highest common factor of 55 and s?
11
Let t be 0 + ((-12)/(-8))/(9/12). Let o = t - -3. Calculate the greatest common factor of 2 and o.
1
Suppose -y = -4*y + 2*n + 28, 2*n + 34 = 4*y. What is the highest common factor of y and 174?
6
Let w(g) = -20*g + 84 + 95 - 203. Let a be w(-12). What is the greatest common divisor of a and 36?
36
Suppose 2*g = -2*o + 16, 2*o = -3*g + 2*g + 12. Suppose 2*m - g*m = -32. What is the greatest common divisor of 4 and m?
4
Let k = -326 - -851. What is the highest common factor of k and 25?
25
Let h = -1298 + 1494. What is the highest common divisor of h and 4?
4
Suppose 5*s - 3*h = 2*s + 114, 5*s - h - 198 = 0. Let j(l) = 34*l - 1. Let a be j(1). Suppose 3*i = -a + 93. What is the highest common divisor of s and i?
20
Let i = 54 - 25. Calculate the highest common divisor of 58 and i.
29
Suppose 11 - 5 = 3*q. Let t(y) = -5 + 2 - q + 4 - 56*y. Let c be t(-1). Calculate the highest common factor of c and 5.
5
Let f(v) = v**3 - v + 115. Let j(o) = -o**3 - 9*o**2 + 8*o - 20. Let x be j(-10). Let n be f(x). Calculate the greatest common divisor of 46 and n.
23
Let s be 2486/(-4)*(8 + -10). What is the greatest common divisor of 226 and s?
113
Suppose 2*y + 3*h - 91 = -20, 2*y = -4*h + 74. Let w = y + -122. Let s = w + 163. Calculate the highest common divisor of 8 and s.
8
Suppose -6*s - 4*s = -1920. Let g(p) = p**3 + 24. Let n be g(0). What is the greatest common divisor of n and s?
24
Let p = -384 + 416. Calculate the greatest common divisor of 160 and p.
32
Let a be 14 + (2 - 3) + -1. Let m = 182 - -52. Let h = 354 - m. What is the highest common factor of a and h?
12
Suppose 0 = 3*k - 66 + 21. What is the greatest common divisor of 6 and k?
3
Let l = -33 + 18. Let m = l - -16. Let t be 8*(4 + (-2 - m)). Calculate the greatest common divisor of 24 and t.
8
Suppose -2*x = 3*u - 342, -2*x + 4*u = -451 + 123. What is the highest common divisor of 231 and x?
21
Suppose 8*h - 3*u = 672, 3*h - 13*u - 252 = -12*u. Calculate the greatest common factor of 315 and h.
21
Suppose 5*d - 378 = -4*d. Suppose -5*z + 5*l = -0*l + 25, 0 = 4*z + l + 5. Let m be z - -1 - 1*-106. What is the greatest common divisor of d and m?
21
Let z(d) = d + 4. Suppose t + 0*t = 19. Suppose -23*q = -t*q - 28. Let u be z(q). What is the highest common factor of u and 11?
11
Let u = -10 - 10. Let r be 32/(-10)*u/8. Suppose -p + 9 = r. Calculate the greatest common factor of 7 and p.
1
Let d be (-8)/(-10)*(-45)/(-18). Suppose d*t = 4*s + 210, 5*t - 3*s = s + 525. What is the greatest common factor of t and 15?
15
Let w(m) = -2*m - 24. Let u be w(-14). Suppose u*q + d = 24, -q - 6 = -2*q - 4*d. What is the greatest common divisor of q and 2?
2
Let s = -376 - -379. What is the greatest common divisor of 23 and s?
1
Let p(y) = 3*y**3 - 10*y**2 - 4*y + 12. Let o be (-34)/(-8) - (-2)/(-8)*-3. Let q be p(o). What is the highest common factor of q and 13?
13
Let v(b) = -30*b + 1. Let x(k) = k**3 + k**2 - 2*k - 3. Let n be x(-2). Let u be v(n). Calculate the highest common divisor of u and 7.
7
Let p = -7 - -28. Suppose -16*q = -p*q + 650. Suppose o + 2*h = -0*o + 23, -4*h = -20. Calculate the greatest common divisor of o and q.
13
Let p be (4 - 9/(-5)) + 11/55. Calculate the greatest common divisor of p and 1008.
6
Let k be 1 - (-331)/6 - (-6)/(-36). Calculate the greatest common factor of 952 and k.
56
Let w(f) be the second derivative of f**4 - f**3/2 + 9*f**2/2 - 3*f. Let l be w(4). Calculate the greatest common factor of l and 27.
27
Let f(n) = n**3 + 9*n**2 - n - 5. Let y be f(-9). Suppose -7*p - y*a = -12*p + 6, -p = -2*a. Calculate the highest common factor of 1 and p.
1
Suppose z - 45 = k, -3*z - k + 131 = -0*k. Let r = z - 26. What is the greatest common divisor of 27 and r?
9
Let x be (-74)/(-1) + (-54)/(-6) + -5. What is the highest common divisor of 273 and x?
39
Let m(s) = -s**2 + 17*s - 7. Suppose 0 = 8*z - 11 - 61. Let i be m(z). Calculate the greatest common factor of i and 13.
13
Let a(g) = g**3 - 4*g**2 - 8*g + 4. Let i be a(8). Calculate the greatest common factor of 49 and i.
49
Let y be (-4)/30 - 17742/(-90) - 2. Calculate the greatest common divisor of 30 and y.
15
Suppose 10*a + t - 138 = 6*a, -2*a = -t - 72. What is the greatest common divisor of a and 14?
7
Suppose -4*q - 94 = 5*w, 3*q + 3 = -0. Let c be (14/21)/((-1)/w). Let t be (6/(-5))/(c/(-400)). Calculate the highest common divisor of t and 100.
20
Suppose -82 = -k + 3*j - 3, 5*j = k - 85. What is the highest common divisor of k and 105?
35
Suppose 8 = 3*d + 2*i - 2, 25 = -d + 5*i. Suppose 20*p - 21*p + 3 = d. Let g be ((-4)/(-5))/(2/5). Calculate the highest common divisor of p and g.
1
Let q = -258 - -292. Calculate the greatest common divisor of 578 and q.
34
Let x(c) = 6*c**3 - 34*c**2 - 10*c + 11. Let t be x(6). Calculate the greatest common factor of 23 and t.
23
Let v(l) = 36*l**2 + 2*l + 2. Let q be (-4)/6 - (-6)/(-18). Let o be v(q). Calculate the greatest common divisor of o and 24.
12
Let t = 1398 - 1380. Calculate the greatest common factor of 126 and t.
18
Suppose 5*j - 100 = -0*z - 3*z, 5*z - 4*j = 105. Calculate the highest common divisor of z and 50.
25
Suppose -5*b + 62 = -3*b - h, -b + 28 = h. Let l be (-4)/b - 182/(-15). Calculate the greatest common factor of l and 6.
6
Let v = 8844 - 5404. What is the highest common factor of v and 20?
20
Let u = -293 + 514. Let q = u - 111. Suppose -r - 5 = -15. What is the highest common divisor of q and r?
10
Suppose z - 2*z + n - 40 = 0, 5*z + 190 = 3*n. Let w = z - -56. What is the highest common divisor of 21 and w?
21
Suppose -5*p + 736 - 151 = 0. Let t = -207 + 220. What is the greatest common divisor of t and p?
13
Let v = -55 + 20. Let c = v - -36. Let x(q) = q**2 + 4*q - 3. Let r be x(-5). What is the greatest common divisor of r and c?
1
Let a(m) = -9*m**2 - 53*m + 13. Let u be a(-6). Calculate the highest common factor of 98 and u.
7
Suppose 2*v + 10 = 2*c, 5*c + 3*v + 15 = -0. Let f be 4/(10/25 + c). Let t = 31 - 21. What is the greatest common divisor of t and f?
10
Suppose 27*q - 226 + 10 = 0. What is the greatest common divisor of q and | {
"pile_set_name": "DM Mathematics"
} |
-15 + 12. Let a be m(z). Let y = a + 45. What are the prime factors of y?
13
Let g = 128 + -28. List the prime factors of g.
2, 5
Let x = 136 - -84. What are the prime factors of x?
2, 5, 11
Let o = 211 - 196. What are the prime factors of o?
3, 5
Let g = -110 + -127. What are the prime factors of (g/(-6) + 2)*2?
83
Let h(x) = 24*x**2 - 11*x + 12. What are the prime factors of h(7)?
11, 101
Let t(c) = c - 1. Let y(l) = 15*l - 5*l - 3*l + 8*l - 2. Let w(b) = -6*t(b) + y(b). What are the prime factors of w(2)?
2, 11
Let n(g) = -18*g - 13. What are the prime factors of n(-6)?
5, 19
Suppose 12*q - 9*q = -126. What are the prime factors of ((-12)/14)/(3/q)?
2, 3
Let v(x) be the third derivative of -x**6/120 - 2*x**5/15 + x**4/12 - 10*x**2. List the prime factors of v(-9).
3, 7
Suppose -121 = -3*c + 251. Suppose 0*t + 4*t = c. List the prime factors of t.
31
Suppose 0 = -4*q - 4*m - 0*m - 156, 5*m - 21 = q. Let k = q + 60. What are the prime factors of k?
2, 3
What are the prime factors of ((-108)/(-21))/((-16)/(-56))?
2, 3
List the prime factors of (4 - (971 + 0))*-1.
967
Suppose 2200 = 2*i - 480. List the prime factors of i.
2, 5, 67
Suppose -9 = 3*r, 8*n - 4*n - 3494 = 2*r. List the prime factors of n.
2, 109
Suppose -2*k + 4*y + 208 = 0, -5*k + 585 - 70 = -5*y. What are the prime factors of k?
2, 3, 17
Suppose -5*r + 9*r - 5*s = 1506, 5*s = -3*r + 1147. Let a = r - 202. List the prime factors of a.
3, 59
Suppose l + 0*d - 4*d = 421, -4*l + 1768 = 5*d. Suppose w + l = -78. What are the prime factors of w/(-15) + 4/6?
5, 7
Let v be ((-9)/4)/(5/(-120)). Suppose i = 4*f + 62, -5*f - v = -f + 3*i. Let d = 7 - f. List the prime factors of d.
2, 11
Suppose 2*o + 6 - 25 = -3*w, -2*w - 3*o + 21 = 0. Suppose 5*z = -w*v + 178, 3*v + 3*z = 8*v - 308. Suppose 0 = 4*i - v - 47. List the prime factors of i.
3
Let b(c) = -26*c + 13*c - 25*c - 3*c - 17. Let x be b(-4). Suppose -3*o = -x + 30. List the prime factors of o.
3, 13
List the prime factors of ((-120)/7)/((-30)/315).
2, 3, 5
Suppose 9*j - 6*j = 18. Suppose r = -r - 2*n - j, -5*n = 25. Suppose 42 = r*g + g. What are the prime factors of g?
2, 7
Let w(i) = i**3 + 9*i**2 + 8*i - 10. Suppose 4*z + 29 = -3*u, -u + 2 = u. Let d be w(z). Let a = 58 + d. List the prime factors of a.
2, 3
Suppose -5*k + 1430 = -5*l, -5*k + l + 1333 = -77. List the prime factors of k.
281
Suppose -2*h + 503 = -p, 4*h + 2*p - 1011 = 3*p. What are the prime factors of h?
2, 127
Suppose -3*j + 4*f - 76 = 2*f, -3*j + 5*f - 82 = 0. List the prime factors of j/20*1/(6/(-100)).
2, 5
Suppose 2328 = 7*p - p. Suppose -a + 5*a = p. List the prime factors of a.
97
Suppose 32 - 8 = -6*r. What are the prime factors of ((-1270)/(-15))/(r/(-6))?
127
Suppose -4*y = -19*y - 30. List the prime factors of (y - (-2)/4)*(-28 - 10).
3, 19
Suppose 2*v = l - 4, -v + 8 = -3*l + v. Let z(w) = -24*w - 12. What are the prime factors of z(l)?
2, 3, 11
Suppose -6 = -0*v - 2*v. Suppose 148 = 2*x - 5*i, -241 = -v*x + 2*i + 3. List the prime factors of x.
2, 3, 7
Let i(g) = -g**3 - 8*g**2 - 7 - 9*g - 9 + 6. Let t be i(-7). Suppose -t*l + 107 = -7*d + 2*d, 3*l - 3*d = 84. List the prime factors of l.
3, 11
Suppose 3*x - 1 = 2*x. List the prime factors of (-28)/(-2*x/4).
2, 7
List the prime factors of 8/(-6)*2175/(-10).
2, 5, 29
Suppose 8 = -a + 7, -517 = -3*w + a. List the prime factors of w.
2, 43
Suppose -34*i + 36*i - 758 = 0. List the prime factors of i.
379
Suppose -2*p - 30 = -0*c - 4*c, 0 = -4*c + 4*p + 28. Suppose c*g = 10*g - 118. What are the prime factors of g?
59
Let v(u) be the third derivative of -5*u**2 - u**3 + 1/60*u**5 + 0*u - 1/6*u**4 + 0. What are the prime factors of v(-4)?
2, 13
Let u be 4/(5/(140/8)). Let p be 7/2*8/u. What are the prime factors of (2 - 0/(-2))*p?
2
Let t = -11 + 7. Let c(m) = -14*m - 7. What are the prime factors of c(t)?
7
Let g(q) = 77*q**3 - 1. Let c be g(-1). Let f = 35 - c. List the prime factors of f.
113
Let i(m) = -m**2 + 7*m - 5. Let g be i(5). Suppose g*v = f + 4*v - 6, f - 2*v = 10. Suppose f*l - 3 = 1. List the prime factors of l.
2
Let m = 6 - 4. Let n(j) = -4 - 3 + 5*j**m - 3*j + 5. List the prime factors of n(-2).
2, 3
Suppose -2*m - 17*m + 3686 = 0. List the prime factors of m.
2, 97
Suppose m = -5*u - 2247, -2*m - 3350 - 1133 = -u. List the prime factors of m/19*(-2)/4.
59
Let a be 5/(25/(-10)) + 20. Let l = a - -20. List the prime factors of l.
2, 19
Let r(z) = 47*z**3 + 3*z**2 - 5*z + 8. List the prime factors of r(2).
2, 193
Let d be ((3 - 1) + -4)*-2. Suppose d*p = 3*p + 295. Suppose b = 6*b - p. What are the prime factors of b?
59
Suppose y + 13*a - 17*a - 408 = 0, 0 = 3*y + 5*a - 1207. List the prime factors of y.
2, 101
Let i(s) be the third derivative of s**6/40 + s**5/30 - s**4/6 + s**3/3 + 5*s**2. Let u be i(2). What are the prime factors of 386/u + 2/13?
3, 5
Suppose 2*f - 470 = -3*i, -4*i + 785 = i + 3*f. Let v = i - 20. List the prime factors of v/6 + (-4)/12.
23
List the prime factors of (-115)/(-23)*2/(10/467).
467
Suppose -15 = j - 6*j - 2*q, -q + 5 = 0. What are the prime factors of 3/(15/130) - j*-1?
3
Let y be 54/12*74/3. Let c = y - 59. List the prime factors of c.
2, 13
Suppose 190 = -6*c + c. Let x = -2 - c. Let k = x - 32. List the prime factors of k.
2
Let d = -32 + 34. List the prime factors of 89 - ((d - 0) + -3).
2, 3, 5
Suppose -2*q - 5*s - 22 = -q, -2*q - 3*s - 9 = 0. What are the prime factors of -5*(-490)/75*q?
2, 7
Suppose 188*c - 178*c = 21340. What are the prime factors of c?
2, 11, 97
Let y = 1109 - 235. What are the prime factors of y?
2, 19, 23
Suppose -4*b + 9 = -3*m, 3 = -2*b - 3*b - m. Let r(l) = -l**2 + 5. Let n be r(b). Suppose -j + n - 1 = 0. What are the prime factors of j?
2
Suppose 0 = -25*a + 21*a + 2*l + 320, 0 = -4*a - 5*l + 334. What are the prime factors of a?
3
What are the prime factors of (-2)/17 - (-88770)/255?
2, 3, 29
Suppose 8*w + 5 = 9*w. Suppose y - z - z = 107, w*y - 3*z - 521 = 0. What are the prime factors of y?
103
Let s(k) = -k**3 + 7*k**2 - 4*k - 4. Let q(l) = -l**3 + 3*l**2 - l + 2. Let f be q(2). List the prime factors of s(f).
2, 7
Let k(x) = 2*x - 7*x**2 + 23*x**3 + 5*x**2 - 4*x**2 - 22*x**3 - 9. List the prime factors of k(6).
3
Suppose 0 = c - 5*k + 13, 5*c + 2*k = -0*k + 16. Suppose -24 = -d - h - 0*h, -c*h = 4. What are the prime factors of d?
2, 13
Let m be (12/10)/((12/(-10))/(-3)). Let t(x) = 33*x - 1. What are the prime factors of t(m)?
2, 7
List the prime factors of ((-320)/(-4))/8*232/10.
2, 29
Suppose -b + 3 + 0 = 0. Suppose -4*a + 2*a + 44 = 3*c, -3*c + 48 = 3*a. Suppose j = -2*w + 17, -2*j + 37 = b*w + c. What are the prime factors of w?
3
Let n(t) = 48*t + 105. List the prime factors of n(17).
3, 307
Let x(j) = 3*j**2. Let p be x(-1). Let m = -1 + p. Suppose 0 = 3*c - m*c - 10. List the prime factors of c.
2, 5
Suppose 0 = 3*z - 0*z. Suppose z - 116 = -4*c. List the prime factors of c.
29
Let c(b) = -24*b - 151. What are the prime factors of c(-29)?
5, 109
Let k = 35 + -19. Let m(z) = 25*z - 8. Let q be m(0). Let t = k + q. What are the prime factors of t?
2
Let g(k) = -30*k - 16. Let r(z) = -60*z - 31. Let l(s) = 5*g(s) - 2*r(s). What are the prime factors of l(-5)?
2, 3, 11
Let d be 3/(-2) + 14/4. What are the prime factors of (-14)/((0 - d) + 1)?
2, 7
List the prime factors of (-2)/(-7) + 2681/49.
5, 11
Let f(c) be the first derivative of -c**4/4 + 13*c**3/3 + c**2/2 + 3*c + 78. Let d = -18 - -31. What are the prime factors of f(d)?
2
Let y = 14 + -10. Suppose -l - 138 = -y*l. What are the prime factors of l?
2, 23
Let w = 2 - 0. Suppose 0 = -3*a + b + 15 - 11, 22 = 4*a + 2*b. Suppose 136 = a*z + 2*z - w*v, 5*v = z - 41. What are the prime factors of z?
2, 13
Suppose -2*g - 3*a + 92 = -201, -134 = -g - 4*a. List the prime factors of g.
2, 7, 11
Let h(z) = 41*z - 4. Let m be h(2). Suppose 4*p = -5*j - 55, 3*p = -2*p + 3*j - m. List the prime factors of (p/6)/(6/(-36)).
3, 5
Let i(r) = -r**3 - 7*r**2 + 9*r + 5. Let k be i(-8). Let c(v) be the second derivative of 5*v**4/12 - 3*v**2/2 + 2*v. What are the prime factors of c(k)?
2, 3, 7
Let l(r) = r**2 - 3*r - 4. Let h be l(4). Let m(d) = 0*d + h - 12 + 4*d - 3. List the prime factors of m(10).
5
What are the prime factors of -1056*((-45)/(-10) - 5)?
2, 3, 11
Let h(v) = | {
"pile_set_name": "DM Mathematics"
} |
14*z + 238 - 238. Suppose 0*b - 2*b = q - 1, -q = 5. Let h(o) = -b*o + o + o. Give h(n(f)).
14*f
Let u(j) = -4*j - j + 19 - 14 - 11 - 3. Let k(p) = p**2. What is k(u(h))?
25*h**2 + 90*h + 81
Let v(l) = 2*l**2. Let o(h) = -2*h + 10. Let w be o(6). Let r(t) = -t. Let p(j) = -6*j. Let g(f) = w*r(f) + p(f). Give g(v(a)).
-8*a**2
Let w(s) = -4*s - 6. Let g(t) = -t - 2. Let l(z) = -3*g(z) + w(z). Let k(f) = -82*f**2. Determine k(l(u)).
-82*u**2
Let r(c) = 90*c**2 + 2*c - 5. Let h(f) = -2*f. Determine h(r(w)).
-180*w**2 - 4*w + 10
Let n(i) = -21*i - 2. Let v(w) = -w**2 - w**2 - 3 + 3. Give v(n(d)).
-882*d**2 - 168*d - 8
Let o(w) = 5*w**2. Let g(t) = -6219*t. What is g(o(v))?
-31095*v**2
Let g(n) = 4*n**2. Let a(u) be the third derivative of u**4/24 + 25*u**3/6 - 103*u**2 + 3. Determine a(g(o)).
4*o**2 + 25
Suppose -9*y + 84 - 39 = 0. Let p(n) = 50*n - 9*n - y*n. Let i(d) = d. Give p(i(l)).
36*l
Suppose 0*b - 21 = -2*b - 5*w, 2*b + 4*w - 18 = 0. Let g be b/4 - (-6)/(-8). Let p(d) = -d - 6*d + d + g*d. Let u(t) = -2*t**2. Calculate p(u(v)).
12*v**2
Let o = 12 + -10. Let r(j) = -j**2 + 0*j**2 + 2*j**o. Let h(x) = 9*x. Let k(z) = 2*z. Let u(y) = 4*h(y) - 21*k(y). Give u(r(b)).
-6*b**2
Let d(p) = 13468*p. Let r(b) = b**2. Determine d(r(c)).
13468*c**2
Suppose 2*u + 0*u = b - 10, 2*b + 3*u = 20. Let a(i) = 6 - 9 + b*i**2 + 3. Let g(l) = 2*l. Calculate a(g(m)).
40*m**2
Let d(y) = 129*y**2 + 33. Let v(g) = -10*g + 7. Let q be v(4). Let l(i) = 8*i**2 + 2. Let k(x) = q*l(x) + 2*d(x). Let r(m) = -2*m + 1 - 1. Determine k(r(n)).
-24*n**2
Let f(r) = 15*r**2. Let s = -185 + 260. Let u(t) = s*t**2 + 71*t**2 - 142*t**2. Give f(u(l)).
240*l**4
Suppose 3*i + 2 = 4*i. Let y(l) = -4*l**2 - l**2 + 0*l**i + 3*l**2. Let f(v) = -13*v - 8 + 8. Give f(y(r)).
26*r**2
Let s be ((-24)/18)/((-1)/39). Suppose -3*r = -r + s. Let o(q) = 10*q**2. Let t(k) = -91*k**2. Let c(v) = r*o(v) - 3*t(v). Let i(x) = -x. Calculate i(c(d)).
-13*d**2
Let t(n) = -8*n**2 - 9*n. Let u(y) = -y**2 - y. Let k(s) = 2*t(s) - 18*u(s). Suppose 97*w = 100*w - 30. Let x(l) = -l + l + w*l. Determine k(x(z)).
200*z**2
Let s(k) = -2*k**2. Let o(y) = 37*y - 10. Let z(w) = -183*w + 48. Let f(u) = 24*o(u) + 5*z(u). What is f(s(v))?
54*v**2
Let w(q) = q - 33. Let b(k) = 3*k - k + 3*k - 6*k + 2*k. Calculate b(w(n)).
n - 33
Let o(f) = -2*f**2 + 4*f - 4. Let n(c) = c - 1. Let k(a) = 4*n(a) - o(a). Let w(s) = 8*s. Determine w(k(p)).
16*p**2
Let t(b) = 2*b**2. Let q(s) be the first derivative of 35*s**2/2 - 143. Determine q(t(m)).
70*m**2
Let u(m) = -365*m. Let n(z) = -5*z - 27. Give u(n(r)).
1825*r + 9855
Let n(i) = -32402*i**2. Let a(p) = -40*p**2. Determine a(n(z)).
-41995584160*z**4
Let y(c) = 2*c - 1503319. Let s(q) = -q. Calculate s(y(h)).
-2*h + 1503319
Let z(k) = -237*k + 1. Let c(g) = -102 + 3*g**2 + 199 - 5*g**2 - 97. Give c(z(b)).
-112338*b**2 + 948*b - 2
Let b(d) be the first derivative of d**2/2 - 115. Let a(q) = -89*q**2. Determine a(b(t)).
-89*t**2
Let r(y) be the third derivative of 0*y**4 + 1/30*y**5 - 6*y**2 + 0*y**3 + 0 + 0*y. Let z(o) = 5*o**2. Calculate r(z(f)).
50*f**4
Let w(l) be the first derivative of -84*l - 23 + 84*l - l**2. Let n(q) = -14*q**2. Determine n(w(f)).
-56*f**2
Let u(s) = -220*s**2 + s + 3. Let r(m) = 6*m. Give u(r(h)).
-7920*h**2 + 6*h + 3
Let o(c) = 334*c. Let v(s) be the first derivative of s**3 + 195. Calculate v(o(a)).
334668*a**2
Let d(g) be the second derivative of -g**4/3 - g**3/3 - 125*g. Let h(y) = -2*y. What is d(h(n))?
-16*n**2 + 4*n
Suppose 88 = 3*r + r. Let d(f) = 7*f - 5*f + r - f. Let b(h) = -h. Give d(b(p)).
-p + 22
Let l(h) = h. Let u(a) = -a**2 - 4*a - 1. Let z be u(-2). Let o(b) = b**2 - b + 4. Let t be o(0). Let k(n) = -15*n + z + t - 7. Give k(l(p)).
-15*p
Let c(s) be the third derivative of s**5/12 - 3*s**2. Let l(q) be the second derivative of q**4/6 - 23*q. Give l(c(i)).
50*i**4
Let k(o) be the third derivative of -5*o**2 + 0*o + 1/12*o**4 + 0 + 0*o**3. Let w(i) = 1 - 1 + 5*i**2. What is k(w(y))?
10*y**2
Let w(n) = 33*n. Let x(c) = -c + 3. Let h(f) = -3*f + 7. Let d(o) = 6*h(o) - 14*x(o). Calculate d(w(v)).
-132*v
Let z(o) = 6*o - 1. Let b(c) be the first derivative of -5*c**3/3 + 588. Calculate z(b(j)).
-30*j**2 - 1
Let z(i) be the first derivative of -4*i**2 - 28. Let m(t) = -7*t. Let l(h) = 6*m(h) - 5*z(h). Let p(y) = -10*y**2. What is p(l(o))?
-40*o**2
Let l(f) = -11*f. Let t(b) = 7*b**2 - 65*b. What is t(l(w))?
847*w**2 + 715*w
Let i(z) = -2*z**2. Let r = -727 - -729. Let f(y) be the second derivative of 0*y**r + 0 + 1/3*y**3 - 7*y. Give f(i(a)).
-4*a**2
Let o(f) = 2*f - 925. Let s(z) = -z - 34. Determine s(o(d)).
-2*d + 891
Suppose 4*m - 5*m = -17. Let q(j) = m + 4*j**2 - 17 - 3*j. Let c(l) = 5*l**2 - 4*l. Let u(g) = -3*c(g) + 4*q(g). Let s(w) = -w. Calculate u(s(k)).
k**2
Let o(x) = -11*x. Let a(n) = -3*n**2 - 4*n. What is o(a(d))?
33*d**2 + 44*d
Let r(j) = 16*j**2 - 5. Let k(p) = -p**2 - 1. Let l(v) = 5*k(v) - r(v). Let i(x) = 4*x**2. What is l(i(y))?
-336*y**4
Let f(t) = t - 3. Suppose 2*o + 8 = 4*o. Let c(z) = 2*z - 4. Let k(b) = o*f(b) - 3*c(b). Let a(g) = 2*g**2. Determine k(a(l)).
-4*l**2
Let z(y) = 7*y**2 + 6*y - 6. Let w(m) = 20*m**2 + 17*m - 17. Let p(a) = 6*w(a) - 17*z(a). Let i(q) be the first derivative of -q**2 + q + 27. Give i(p(c)).
-2*c**2 + 1
Let b(c) = -2546*c - 11. Let i(y) = -12*y**2. Calculate b(i(x)).
30552*x**2 - 11
Let m(l) be the second derivative of 1/3*l**3 + 0*l**2 - 3*l + 0. Let v(r) = 184*r**2. Let q(k) = -14*k**2. Let i(z) = 40*q(z) + 3*v(z). Determine m(i(j)).
-16*j**2
Let n(l) = 5*l. Let r(d) = 421*d + 2. Give r(n(c)).
2105*c + 2
Let t(a) = -144*a**2 + 63*a - 63. Let z(u) = 9*u**2 - 4*u + 4. Let g(k) = 4*t(k) + 63*z(k). Let b(x) = 63*x + 59*x - 121*x. Give g(b(h)).
-9*h**2
Let w(k) = k. Let t(v) = 60*v**2 + 18*v**2 + 141*v**2 + 81*v**2 - 48*v**2. Give w(t(c)).
252*c**2
Let k(j) = 24*j**2 - 42*j**2 + 16*j**2. Let w(m) = 32*m. Determine k(w(n)).
-2048*n**2
Let s(u) = u**2. Let l(z) = 1037389*z. Determine l(s(o)).
1037389*o**2
Let f(j) = -51*j. Let w(u) be the first derivative of 7*u**3/3 + 68. Calculate f(w(r)).
-357*r**2
Let h(k) = 7*k. Let u(n) = 0*n + 0*n - 27*n**2 + 15*n**2 + 64*n**2. Calculate h(u(i)).
364*i**2
Let f(i) = 2*i**2. Let a(b) be the third derivative of 17*b**4/24 - 109*b**2 - 2. What is a(f(w))?
34*w**2
Let k(p) = -12*p - 10. Suppose 5*c - 1 - 4 = 0. Let x(r) = -r + 0 - 1 + 0. Let b(v) = c*k(v) - 10*x(v). Let u(n) = n**2. Give b(u(g)).
-2*g**2
Let k(j) = j**2. Let a be (68/(-51))/((-2)/3). Let p(u) = -6*u - 4*u + 10*u + a*u. Calculate k(p(i)).
4*i**2
Let c(t) = -40723*t**2 + 4*t. Let m(b) = 2*b**2. Determine c(m(o)).
-162892*o**4 + 8*o**2
Let t(y) = -3*y. Let k(b) = -35*b**2 - 2*b - 806. What is k(t(n))?
-315*n**2 + 6*n - 806
Let m(n) = -6*n + 2. Let z(h) be the second derivative of -h**6/720 - 17*h**4/12 + 10*h + 3. Let l(a) be the third derivative of z(a). Give m(l(u)).
6*u + 2
Let z(i) = 2*i. Let l(q) = 4*q. Let u(j) = 4*j. Suppose c + 3*c = 3*o + 29, 2 = -2*c - 4*o. Let h(f) = c*l(f) - 4*u(f). Calculate z(h(n)).
8*n
Let j(v) = -5*v. Let y(s) = 3*s - 25*s + 0*s + 3*s - 10*s - 1. Give j(y(k)).
145*k + 5
Suppose -10 - 18 = -i. Let b(n) = 31*n - 55*n + i*n. Let l(o) be the second derivative of -o**3 + o. Give b(l(u)).
-24*u
Let a(t) be the first derivative of -24*t**2 + 2*t + 128. Let c(w) = w**2. What is a(c(v))?
-48*v**2 + 2
Let u(x) = x**2 - 5*x - 195. Let t(i) = 4*i. What is u(t(b))?
16*b**2 - 20*b - 195
Let z(o) = 9*o**2 + 10*o. Let k(b) = 2*b - 23. Determine z(k(y)).
36*y**2 - 808*y + 4531
Let o(p) be the first derivative of 4*p + 6 + p**2 - 4*p. Let d(w) = -27*w. Calculate d(o(h)).
-54*h
Let o(x) = 19*x**2. Let k(q) = -149 + 74 + 73. Let d(r) = r + 3. Let i(t) = 2*d(t) + 3*k(t). What is i(o(f))?
38*f**2
Let m(r) = -7*r**2. Let y(l) = 25*l**2 + 6*l. Let u(x) = 28*x**2 + 7*x. Let g(c) = -6*u(c) + 7*y(c). Calculate m(g(a)).
-343*a**4
Let w(d) = 3478*d + 2. Let a(g) = g. Calculate w(a(y)).
3478*y + 2
Let d(u) = -25126*u. Let n(t) = -2*t. Determine n(d(f)).
50252*f
Let p(y) = y**3 - 15*y**2 + 13*y + 16. Let g be p(14). Let o(n) = 2*n**g + 15 - 15. Let i(b) = -3 - 5 - 15*b + 8. Calculate i(o(x)).
-30*x**2
Let m(a) = 2*a. Let t(b) = -361*b. Let x(q) = 15*q. Suppose 587 + 78 = 7*r. Let w(p) = r*x(p) | {
"pile_set_name": "DM Mathematics"
} |
*a**3 + 11*a**2 + 15*a + 13. Determine 13*v(i) - 6*w(i).
i**3 - i**2 + i
Let s(f) = 69*f + 5. Let g(c) = 3071*c + 222. Give 5*g(w) - 222*s(w).
37*w
Suppose 4*p - 12 = -4. Suppose 0*u + 19 = -4*n - u, -18 = 4*n + 2*u. Let k = p + n. Let t(f) = f**3 - 3*f**2. Let c(z) = z**2. Determine k*c(s) - t(s).
-s**3
Let z(b) = -4*b - 7. Let i(d) = -d - 2. Give 22*i(l) - 6*z(l).
2*l - 2
Let y(j) = j**2 - 3*j + 3. Let x(g) be the second derivative of -2*g**2 - 1/12*g**4 + 0 - 2*g + 2/3*g**3. Give -3*x(q) - 4*y(q).
-q**2
Let p(t) = -4*t**3 - 4*t. Let d(b) = b. Let r = -10 + 14. Determine r*d(v) + p(v).
-4*v**3
Let r(a) = 3*a**2 + a + 4. Let b(o) = -17*o**2 - 13*o + 9. Let y(c) = 4*c**2 + 3*c - 2. Let h(t) = -6*b(t) - 26*y(t). What is 5*h(m) + 3*r(m)?
-m**2 + 3*m + 2
Let g(r) = -30*r**3 + 4*r**2 - 4*r - 4. Let z(t) = 119*t**3 - 17*t**2 + 17*t + 17. Calculate 17*g(c) + 4*z(c).
-34*c**3
Let u(a) = 3*a**2 - 4*a + 4. Let s = 229 + -230. Let r(c) = c**3 - 4*c**2 + 2*c - 1. Let h be r(3). Let z(j) = j - 1. Calculate h*z(f) + s*u(f).
-3*f**2
Let x(f) = -13*f**2 - 3*f - 5. Let t(l) = 7*l**2 + 2*l + 3. Calculate -5*t(a) - 3*x(a).
4*a**2 - a
Let r(p) = 7*p - 4. Let c = -1 - 5. Let q(i) = 13*i - 7. What is c*q(t) + 11*r(t)?
-t - 2
Let m(o) = -6*o + 3. Let i(n) = -n. Give -12*i(k) + m(k).
6*k + 3
Let y(g) = g + 1. Let r(c) = -c - 1. Let s(h) = -h**3 + 3*h**2 + 2*h + 4. Let z be s(4). Calculate z*y(a) - 3*r(a).
-a - 1
Let v(m) = 17*m + 5. Let j(p) = -50*p - 16. Let w(s) = 3*j(s) + 8*v(s). Let u(r) = 5*r + 3. Determine -11*u(x) - 4*w(x).
x - 1
Let o(b) = 3*b**3 - 3*b**2 - 11. Let u(x) = -x**3 + x**2 + 4. Let y(d) = -3*o(d) - 8*u(d). Let w(i) = 3*i**3 - 2*i**2 + 5*i - 4. Calculate -w(q) - 2*y(q).
-q**3 - 5*q + 2
Let y(n) be the third derivative of 7*n**5/12 + 5*n**4/8 - 5*n**3/2 - 22*n**2. Let x(u) = 9*u**2 + 4*u - 4. Give 15*x(c) - 4*y(c).
-5*c**2
Suppose -z = z - 2*i + 6, -2*z = 4*i + 30. Let m(o) = 4*o**2 + 33*o - 24*o + 7 + 7*o**2. Let w(b) = 6*b**2 + 5*b + 4. Give z*w(s) + 4*m(s).
2*s**2 + s
Let v(z) = 5*z**2 - 11*z - 3. Let g(h) = -17*h**2 + 10*h + 6. Let t(b) = -6*b**2 + 3*b + 2. Let c(f) = 3*g(f) - 8*t(f). What is -7*c(d) - 4*v(d)?
d**2 + 2*d - 2
Let u(v) = -6*v**2 - 3*v + 5. Let r(z) be the third derivative of -7*z**5/60 - z**4/6 + z**3 - 8*z**2. Give 5*r(x) - 6*u(x).
x**2 - 2*x
Let g(h) = -5*h**3 - 3*h - 5. Let r(k) = 6*k**3 + 3*k + 5. Give 4*g(s) + 3*r(s).
-2*s**3 - 3*s - 5
Let v(c) be the second derivative of -c**4/6 + c**3/3 + c**2 - 2*c. Let r = -29 - -24. Let w(z) = 2*z**2 - 2*z - 2. What is r*w(j) - 6*v(j)?
2*j**2 - 2*j - 2
Let v(w) = 6*w**3 - 2*w + 9. Let n(s) = -3*s**3 + s - 4. Calculate -7*n(k) - 3*v(k).
3*k**3 - k + 1
Let h(n) = -14*n**3. Let q(c) = -7*c**3. Calculate 4*h(z) - 7*q(z).
-7*z**3
Let z be ((-1)/(-2))/((-2)/16). Let m(i) = -i - 2. Let y be m(z). Let q(c) = c - 4. Let v(a) = -2*a + 13 + 0*a - 8. What is y*v(j) + 3*q(j)?
-j - 2
Let b(n) = 2*n - 4. Let f(m) = 2*m - 3. Give 5*b(g) - 6*f(g).
-2*g - 2
Let r(c) = -49*c**2 - 3. Let g(o) = 99*o**2 + 7. Determine 2*g(n) + 5*r(n).
-47*n**2 - 1
Let n(s) = 6*s - 3*s + 2*s - 6. Let r(u) = 11*u - 13. Let g(f) = -f**3 - 5*f**2 + 2*f + 6. Let z be g(-5). Give z*r(q) + 9*n(q).
q - 2
Let f(p) = -2*p + 5. Let d(s) = -s + 3. Let h be 28/(-8) - (-4)/8. What is h*f(r) + 5*d(r)?
r
Suppose 18*f - 4*f = -84. Let m(x) = 5*x + 2. Let w(s) = -14*s - 6. Calculate f*w(v) - 17*m(v).
-v + 2
Let d(w) = -19*w - 4. Let o(g) = 989*g + 207. Give -207*d(h) - 4*o(h).
-23*h
Let c(k) = 7*k**3 - 20*k**2 - 6. Let y(m) = -15*m**3 + 39*m**2 + 13. Give 13*c(x) + 6*y(x).
x**3 - 26*x**2
Let i(z) be the second derivative of -z**5/20 + z**4/12 - z**3/6 + z**2/2 + 13*z. Let v(u) = 3*u**3 - 2*u**2 + 4*u - 4. Calculate 4*i(k) + v(k).
-k**3 + 2*k**2
Let s(m) = 2*m**3 - 2*m**2. Let h be 2 + (-1 - 6) + -1. Let f be -6 - (-2 - -1 - 0). Let p(a) = -2*a**3 + 2*a**2. Determine f*p(y) + h*s(y).
-2*y**3 + 2*y**2
Let k(x) = -1. Let o(d) = d**3 - 3*d - 3. Determine -2*k(h) + o(h).
h**3 - 3*h - 1
Let i(t) = 3*t**3 + 3*t**2 - t. Let f(a) = -a**2. What is -3*f(s) - i(s)?
-3*s**3 + s
Let v(r) = 2 + 5*r**2 - 2 - 2*r**3 - 1. Let o(c) be the second derivative of c**5/10 - c**4/2 + c**2/2 + 4*c. Determine 5*o(u) + 6*v(u).
-2*u**3 - 1
Let x(n) = n**2 + 4*n - 2. Let p be x(-5). Let v(o) = -1 + 17*o**3 + p - 2 - 17*o - 13*o**2. Let f(s) = -4*s**3 + 3*s**2 + 4*s. Determine -26*f(i) - 6*v(i).
2*i**3 - 2*i
Let m(x) be the second derivative of x**5/10 + 2*x**4/3 - x**2/2 - 19*x. Let a(b) = 2*b**3 + 7*b**2 - 1. Calculate 6*a(l) - 5*m(l).
2*l**3 + 2*l**2 - 1
Let n(z) = -2*z**3 + 9*z**2 - 9*z - 4. Let k = -22 - -33. Let t = 7 - k. Let s(f) = -f**3 + 4*f**2 - 4*f - 2. What is t*n(j) + 9*s(j)?
-j**3 - 2
Let t(m) = -6*m**3 + 7*m**2 - 7*m - 7. Let k(h) = -2*h**3 - h**2 + 4*h + 1. Let s(g) = -g**3 + g. Let z(i) = k(i) - 3*s(i). What is 3*t(x) + 21*z(x)?
3*x**3
Let u(h) = -h - 5. Let p(i) be the third derivative of i**4/12 + 7*i**3/6 + 34*i**2. Determine 5*p(q) + 7*u(q).
3*q
Let w(f) = f. Let x(u) = -5*u + 1. What is 6*w(o) - x(o)?
11*o - 1
Let w(v) be the third derivative of -3*v**4/8 - v**3/2 - 3*v**2. Suppose x + 3*x + 5*p - 12 = 0, 3*x = -p - 2. Let t(y) = 4*y + 1. Calculate x*w(z) - 5*t(z).
-2*z + 1
Let w(h) = -9*h + 5. Let m(u) = 8*u - 6. What is -6*m(j) - 5*w(j)?
-3*j + 11
Let k be (1 - 0) + 2 - 1. Let q(s) = -6*s**2 + s - k*s + 7*s**2. Let t(g) = -g**2 + g. What is -3*q(m) - t(m)?
-2*m**2 + 2*m
Let c(v) = -2*v - 1. Let z(s) = -7 + s + s + 2*s + 8. Suppose p + 5*n = 6*p + 35, 2*p - 5*n = -20. What is p*c(y) - 3*z(y)?
-2*y + 2
Let s(o) = -o**2 - o. Let j(y) = 18*y**2 + 15*y. Determine j(d) + 15*s(d).
3*d**2
Let d(p) = -5*p - 2. Let t = 8 + -6. Suppose -u = 9 + t. Let x(a) = 14*a + 5. What is u*d(b) - 4*x(b)?
-b + 2
Let v(i) = -i + 6. Let x = -14 + 10. Let a be ((-4)/((-48)/(-54)))/((-1)/2). Let k(y) = -2*y + 13. Calculate a*v(f) + x*k(f).
-f + 2
Let s be 14/8 + (-1)/(-4). Let i(l) = l**3 + 2*l**2 - 2*l + 2. Let f(w) = -15*w**3 - 33*w**2 + 33*w - 33. Calculate s*f(a) + 33*i(a).
3*a**3
Let h(n) = n**2 + 2*n + 5. Let a(r) be the first derivative of r - 4. Let u be ((-1)/(-1))/(11/55). Give u*a(g) - h(g).
-g**2 - 2*g
Let d(u) = 4*u - 4. Let g(x) = -3*x + 3. Suppose 5*n + s = 130, s + 10 = 3*s. Suppose -n = -0*l + 5*l. Calculate l*d(t) - 7*g(t).
t - 1
Let m(v) = -1. Let j(z) = 6*z**2 - 4*z**2 + 2 - z + z. Determine -j(k) - 2*m(k).
-2*k**2
Let r(j) = -24*j**3 + 150*j + 24. Let x(i) = 5*i**3 - 30*i - 5. Determine 3*r(o) + 14*x(o).
-2*o**3 + 30*o + 2
Let p(m) = m**2 - 4*m - 1. Let i be 28/(-3) + (-4)/6. Let o be (-8 + 6)*i/(-4). Let v(k) = 2*k**2 - 6*k - 2. Determine o*v(d) + 8*p(d).
-2*d**2 - 2*d + 2
Let x(c) = -2*c**2 - c. Suppose -7 + 3 = -2*o. Suppose 0 = o*i + i - 6. Let y(p) = 2 + 6*p**2 + 3 - i*p**2 + 2*p - 4. Give -5*x(g) - 2*y(g).
2*g**2 + g - 2
Suppose 4 = -4*b + 4*y, -y - 17 = -3*b - 3*y. Let k(c) = -6*c**2 - 11*c - 7. Let j(t) = -3*t**2 - 5*t - 3. What is b*k(a) - 7*j(a)?
3*a**2 + 2*a
Let w(k) = k**2 + k + 1. Suppose 2*m + s = -2*s - 5, 35 = 5*m - 2*s. Let f(o) = -6*o - 6 - m*o**2 - 4 - 2*o**3 + 3*o + 7. Determine f(u) + 5*w(u).
-2*u**3 + 2*u + 2
Let o(x) = 17*x + 2. Let t(j) = j + 1. Let d(m) = o(m) - 4*t(m). Let f(q) be the first derivative of -3*q**2 + q + 89. Determine 4*d(r) + 9*f(r).
-2*r + 1
Let d = 5 - 5. Let f(w) = -1 + d*w + 3*w - 4*w. Let l(h) = 4*h + 7. Calculate 5*f(q) + l(q).
-q + 2
Let y(c) = 6*c + 15. Let z(f) = 9*f + 23. Give -8*y(l) + 5*z(l).
-3*l - 5
Let q(p) = -5*p**3 - 5*p. Let w(t) = t. Give 4*q(c) + 20*w(c).
-20*c**3
Let q(k) = -2 + 4*k + 4 + k. Let g(u) be the third derivative of -3*u**4/8 - 2*u**3/3 - 2*u**2. Give 4*g(v) + 7*q(v).
-v - 2
Let w(d) = 9*d**3 - d**2 + 3*d + 3. Let i(c) = 37*c**3 - 5*c**2 + 13*c + 13. Give 4*i(k) - 18*w(k).
-14*k**3 - 2*k**2 - 2*k - 2
Let r(d) = d + 7. Let k = -7 + 5. Let x(y) = 11. Let s(i) = 5. Let q(w) = 9*s(w) - 4*x(w). Let c(n) = -n**2 - 8*n + 2. Let m be c(-6). Give k*r(f) + m*q(f).
-2*f
Let h be (17 - 19)/((-2)/(-6)*-2). Let c(l) = -l**2 - 3*l - 3. Let o(y) be the first derivative of -y**2/2 - y + 1. Determine h*o(i) - c(i).
i**2
Let i(m) = -2*m**2 + 2. Let s = 1 + 1. Let v(l) = -2*l**2 + 3. Let h = -6 + 3. What is h*i(t) + s*v(t)?
2*t**2
Let r(w) = w - 1. Let f(i) = i**2 + 3*i + 5. Determine -f(q) + 3*r( | {
"pile_set_name": "DM Mathematics"
} |
st value? (a) -0.32 (b) 0.5 (c) -1.56 (d) -0.2 (e) -3 (f) 1/5
c
Which is the biggest value? (a) 13/4 (b) -50/7 (c) -0.04 (d) -5
a
What is the smallest value in -5, 6/181, 2/7, 0.2?
-5
Which is the sixth smallest value? (a) 2 (b) 0.4 (c) 0 (d) 0.1 (e) 16 (f) -572
e
What is the fourth smallest value in 12, -2/7, -15, 2/27, -2?
2/27
Which is the third biggest value? (a) 1 (b) 21.4 (c) -3
c
What is the third smallest value in -2/5, -327, 2/3, -2?
-2/5
Which is the third biggest value? (a) -4 (b) -6 (c) 0.3826
b
Which is the smallest value? (a) -1 (b) -2/19 (c) 2 (d) -119 (e) 0 (f) 5
d
Which is the fifth smallest value? (a) 1 (b) -4 (c) -0.05 (d) 17 (e) 6 (f) -7
e
What is the biggest value in -959/3, 0, 2/13?
2/13
Which is the fifth biggest value? (a) -0.5 (b) -4 (c) -12 (d) -0.6 (e) 1
c
Which is the smallest value? (a) 3/5 (b) -721 (c) 2
b
What is the second biggest value in -0.9, -1/4, 6/17, 983, 5?
5
What is the second biggest value in 7.718, -0.5, 2?
2
Which is the smallest value? (a) -0.0256 (b) 1 (c) -1 (d) -2
d
Which is the second biggest value? (a) 17 (b) -502 (c) 27
a
What is the biggest value in 2/3, 4, -0.5, -0.51?
4
Which is the biggest value? (a) -16 (b) -2/13 (c) 96/7 (d) 2/71
c
What is the second biggest value in -23/3, 5, 3200, 1?
5
What is the biggest value in 27, 5, 1, 0.4, -13?
27
Which is the second smallest value? (a) 9/8 (b) -4 (c) 1 (d) 2/9
d
Which is the fourth smallest value? (a) 0.2 (b) 25 (c) -1 (d) 107 (e) 3
b
What is the biggest value in 0.3, -3/4, -4/9, 921, 5?
921
What is the third biggest value in 1689, -1/8, 3?
-1/8
Which is the fourth smallest value? (a) 19/4 (b) 2 (c) -0.3 (d) -4 (e) -1 (f) 13
b
What is the third smallest value in 0.22, -72, 7/4?
7/4
Which is the fourth biggest value? (a) 0.046 (b) -3/5 (c) 0.06 (d) 2
b
What is the biggest value in 37/3, 16, 0.5, 2?
16
Which is the second biggest value? (a) -89 (b) -1 (c) -821 (d) -5 (e) -3/8
b
What is the third biggest value in -35731, 2/3, -5?
-35731
What is the fourth smallest value in -2, -1/9, -0.05, 1, 1/6?
1/6
Which is the third smallest value? (a) 0 (b) 614 (c) -17
b
What is the smallest value in -3/2, -18, 1/2, 209?
-18
What is the smallest value in 5, 0.0016, 24?
0.0016
Which is the second biggest value? (a) 0.22 (b) 4 (c) -36.2 (d) 0.5
d
What is the second smallest value in -4, -7, -0.2, -79.5, -2/5?
-7
What is the fourth smallest value in 1.4, -5/4, -1/6, 0, -0.07?
0
Which is the second biggest value? (a) -387 (b) 4 (c) -0.3 (d) 0.1 (e) 0
d
What is the third smallest value in -4, 2/11, 9, -6, -2, 387/4?
-2
What is the second smallest value in 4, 2/15, 0.003965, 2/11?
2/15
What is the second biggest value in 2/11, 0.1, -10/9, 2209, -2/13?
2/11
Which is the smallest value? (a) 0 (b) 1 (c) 5 (d) -15.3 (e) 3
d
Which is the biggest value? (a) 0.3 (b) -72127 (c) -2
a
What is the fourth biggest value in 759, 0.3, 2/11, -2?
-2
Which is the third biggest value? (a) 9 (b) 0 (c) -2/15 (d) 87 (e) 1 (f) 2
f
Which is the biggest value? (a) -0.5 (b) -3 (c) -14.76 (d) 2/3 (e) 22
e
What is the fourth biggest value in -0.4, 3, -10/17, -2?
-2
What is the fifth smallest value in 0.2, 3/4, 0.241, 2, 2/3?
2
Which is the third biggest value? (a) 6 (b) 2 (c) -0.16 (d) 152
b
What is the second smallest value in 0.07, 5, -272.32?
0.07
Which is the second smallest value? (a) 1/12 (b) 0.2 (c) -118/11
a
What is the biggest value in 0.011, -1, 18?
18
Which is the third biggest value? (a) -3/16 (b) 2 (c) 5316 (d) -0.2
a
Which is the biggest value? (a) 5 (b) 0.52192 (c) 0.1
a
What is the third smallest value in -3/10, -0.4, 22/51, 0.4, 2/7, -0.2?
-0.2
What is the second biggest value in 50, -5, -2, 5/2, -3?
5/2
What is the smallest value in -2/19, 24/77, -4, 1/5?
-4
Which is the third smallest value? (a) -137 (b) -2/13 (c) 9/4 (d) 3/4
d
What is the third smallest value in -1/5, -1, 3/94105?
3/94105
Which is the smallest value? (a) 0.1 (b) -2.7 (c) 2/5 (d) 3.7
b
Which is the second smallest value? (a) 142 (b) -5/6 (c) -50
b
Which is the second smallest value? (a) 0.28 (b) -140 (c) -1 (d) 5
c
What is the second biggest value in -736, -2/5, -3, -1151?
-3
Which is the smallest value? (a) 5 (b) -2637 (c) -6
b
Which is the fifth smallest value? (a) 2/9 (b) -376 (c) -2/15 (d) 5 (e) 2
d
Which is the third biggest value? (a) 19 (b) -2/5 (c) -91.5
c
Which is the fourth smallest value? (a) 2/13 (b) 4/3 (c) -8.01 (d) 5/3
d
What is the third smallest value in -0.1, -3/4, 0.3729, 1/2?
0.3729
Which is the third smallest value? (a) 262 (b) -5 (c) -32 (d) 0
d
What is the second smallest value in 0.2, -9/2, -3051?
-9/2
What is the second smallest value in -0.3, -0.51, 200, -0.1, 0, 4/3?
-0.3
What is the second smallest value in -16, 3.999, -7?
-7
Which is the second smallest value? (a) -2/11 (b) 5 (c) 340
b
What is the second smallest value in -2639, 1/4, 381?
1/4
What is the second biggest value in 1, 3, 5, -4, -0.51?
3
Which is the third biggest value? (a) -1 (b) 65/4 (c) -0.3 (d) 9
c
Which is the fifth biggest value? (a) 1/2 (b) -2 (c) -146 (d) -5/6 (e) -5/4 (f) -5
f
Which is the fourth smallest value? (a) 0.1 (b) -4 (c) 3 (d) -2 (e) 18687
c
Which is the fourth smallest value? (a) 9/7 (b) 0.3 (c) 73 (d) 4
c
What is the fourth smallest value in -4/5, 108, 2236, 4?
2236
Which is the third biggest value? (a) 1 (b) -0.18 (c) 0.054 (d) -4 (e) 2
c
Which is the fifth biggest value? (a) 11/8 (b) -51 (c) 0.09 (d) 1 (e) -2/7 (f) -1/3
f
Which is the biggest value? (a) -5 (b) 76 (c) -1/5 (d) 5
b
What is the second smallest value in 27/2, -1/4, 2, -3/2, -2/5?
-2/5
What is the third biggest value in 3, 0, -3, -4, 0.5?
0
What is the smallest value in 41, -44/39, 0.1?
-44/39
What is the second biggest value in -42, 5/6, 0.4?
0.4
What is the fourth biggest value in -0.36, 2/9, -1, -0.1, -5?
-1
What is the second smallest value in 2.3, -0.4, -2, 0.8?
-0.4
What is the fifth biggest value in -1, -6, 0, 149, -3, 0.4?
-3
What is the fourth smallest value in -1/4, 0.631, 8, -3, 3?
3
Which is the fourth biggest value? (a) -199 (b) -5/6 (c) -0.2 (d) 1.4
a
Which is the third smallest value? (a) 0.2 (b) -2.62 (c) -275/2 (d) 4/5
a
What is the fourth biggest value in -0.3, 0.2, -5.5, 0, 1/2?
-0.3
What is the third smallest value in 0.4, 1/12, -33?
0.4
What is the fourth smallest value in 126824, -1/2, 5, -4?
126824
Which is the biggest value? (a) -2 (b) -124 (c) 0.135
c
What is the third biggest value in 1, 0.1, 17.11, -2/9, -0.7, 3?
1
Which is the second smallest value? (a) -1 (b) 0.3 (c) 187 (d) -16 (e) -1/8 (f) -2/5
a
Which is the second biggest value? (a) -0.06 (b) 0.04 (c) -15356
a
What is the second smallest value in 6, 0.3, 1/3, 345, -2/11?
0.3
Which is the second smallest value? (a) 5 (b) 35 (c) -0.08 (d) 15
a
What is the third biggest value in -24, -1, -3, -0.5, 1/7, -5?
-1
Which is the fourth biggest value? (a) 0.2 (b) 0.5 (c) 3 (d) 0.046 (e) -10/37
d
What is the biggest value in -7, 593, -1/4, -1/3, -2, 2/15?
593
What is the second smallest value in -28/11, 48/7, 0.4?
0.4
Which is the third biggest value? (a) -9 (b) -0.3 (c) -1 (d) -44
a
What is the fourth smallest value in 3.4, -3/4, -0.3, -194?
3.4
Which is the smallest value? (a) 42.9 (b) -0.1 (c) 0.3 (d) -10
d
What is the third smallest value in -1/6, 0.2, -17/155, 6?
0.2
What is the second biggest value in 1/3, -0.2, -86.39?
-0.2
Which is the third smallest value? (a) -0.2 (b) -6 (c) -5 (d) 52 (e) 84
a
Which is the second smallest value? (a) -3 (b) 17 (c) 3/2 (d) 586
c
Which is the biggest value? (a) -1/6 (b) 4487 (c) 0.2
b
Which is the second smallest value? (a) -2 (b) 0.2 (c) 3319/5
b
Which is the third smallest value? (a) 8/7 (b) 5 (c) -0.09 (d) -3 (e) 1/33
e
What is the fifth smallest value in 6/11, 0, 0.0649, 4/5, -5, 0.5?
6/11
What is the third biggest value in -0.030329, 3/7, -4?
-4
Which is the fourth smallest value? (a) 9 (b) 0.1 (c) 45.4 (d) 0.017 (e) -3
a
What is the sixth smallest value in -0.2, 0.476, 5, 2, 1/5, -4?
5
Which is the second smallest value? (a) 2/13 (b) 0.1 (c) 1 (d) -7/3
b
Wh | {
"pile_set_name": "DM Mathematics"
} |
z be n(-1). Let b(l) be the second derivative of l**4/12 - l**3/2 + l**2/2 - 8*l. List the prime factors of b(z).
11
Let g(l) = 3*l - 1. Let a be g(1). Suppose -v + a + 33 = 0. List the prime factors of v.
5, 7
What are the prime factors of ((-322)/3)/((-4)/6)?
7, 23
Suppose 0 = -5*k + 17 - 2. Suppose 4*x - 4*o = 60, k*x + 2*o - 39 - 21 = 0. Suppose x = 5*l - 32. What are the prime factors of l?
2, 5
Let u = 6 + -3. Suppose 4*k + 3 = u*i, -3*k - 2 = -2*i - 0. Suppose k = -5*z + a + 74, -a = 4*z + 3*a - 40. List the prime factors of z.
2, 7
Let u = -4 + 6. Let d(g) = -g**2 - 2*g + 2. Let w be d(-2). Suppose -k + 39 = 3*y + u*y, 2 = -w*k. What are the prime factors of y?
2
List the prime factors of (-117)/(-7) + (-20)/(-70).
17
Suppose 5*v + 11 = -2*k - k, -k + 2*v = 0. Let w(n) = n**2 + n + 3. List the prime factors of w(k).
5
Let j(w) = 0*w + 4 - 3*w - 3 + 8. Let p be j(-9). Let z = p - 22. What are the prime factors of z?
2, 7
Let z = -23 + 75. Suppose 220 = -4*u - z. What are the prime factors of u/(-10)*(-20)/(-8)?
17
Let w be 3/(6/4) + 1. Suppose 8 = 2*y + 4*j, 2*y = y - 3*j + 2. List the prime factors of w*y*(-1)/(-6).
2
Let g be (-12)/15 - 1/5. Let d be 2 - g/1 - 0. Suppose -3*t + 6*t + 3*l = 9, -t - 3 = d*l. List the prime factors of t.
2, 3
Let d = -5 + -17. Let o = 49 + d. What are the prime factors of o?
3
Suppose 167 = -2*x + 477. What are the prime factors of x?
5, 31
What are the prime factors of (-993)/(-9) + 5/((-30)/(-4))?
3, 37
Let p be -3*4*(-1)/6. List the prime factors of (p/(-4))/(6/(-132)).
11
Let y be (-2)/3 + 29/3. What are the prime factors of 4 + y/(-3) - -6?
7
Suppose 5*h - 103 = 37. Let c = h - 15. List the prime factors of c.
13
Suppose -4*i + 2*j + 26 = 0, -3*j - 2 = 13. List the prime factors of 53/i + 2/(-8).
13
Let i = 9 - 6. Suppose 4*s = i*u + 21, s + s + 4*u - 16 = 0. What are the prime factors of (s/(-4))/((-6)/16)?
2
List the prime factors of (-18)/(-10)*20/4.
3
What are the prime factors of 7/9 - 1 - (-4572)/162?
2, 7
Let q = 47 - 1. What are the prime factors of q?
2, 23
Suppose -s - 6 = 6. Let i = s + 25. What are the prime factors of i?
13
Suppose 4*k - 9*k + 800 = 0. List the prime factors of k.
2, 5
Let i(x) = x**3 + 5*x**2 - 8*x. Let w(l) = -l + 16. Let s be w(11). Suppose -s*a - 29 - 1 = 0. What are the prime factors of i(a)?
2, 3
Let t = 11 - -16. List the prime factors of t.
3
Let p = 83 - -27. What are the prime factors of p?
2, 5, 11
Let v(y) = y**3 - 19*y**2 - 14*y. What are the prime factors of v(20)?
2, 3, 5
Suppose -2*z - 16 = -0*z. Let a = -6 - z. List the prime factors of a.
2
Let b(k) = -23*k**2 - 7*k - 5. Let d(n) = -12*n**2 - 3*n - 2. Let a(s) = 2*b(s) - 5*d(s). List the prime factors of a(-1).
13
What are the prime factors of 2/6 - (-4720)/60?
79
Let p = 17 + -2. Suppose -2*j - a + 1 = 0, -p = a + 4*a. Suppose -j*k = k - 27. List the prime factors of k.
3
Let l(s) = -s - 4. Let y be l(-4). Let n be 0/(y + -2 + 0). List the prime factors of 2 - -7 - n/(-2).
3
Let w(c) = -c**2 + 9*c + 5. Let y be w(9). Suppose u - y = -5*h, 2*h + 0*u + u = 2. Let a(j) = 5*j**2 + 2*j - 1. What are the prime factors of a(h)?
2, 3
Suppose u + 15 = -3*o, 5*o + 27 - 2 = u. Suppose u = -f + 4*h + 18 + 3, -10 = 5*h. What are the prime factors of f?
13
Let y be 0 - (2 + -16 + 3). Suppose -4*j + y = -9. What are the prime factors of j?
5
Let w = 12 + -8. Let i = 8 - 6. Suppose 0 = -w*t + 14 + i. List the prime factors of t.
2
Let h(s) = 9*s**2 - 2*s - 1. Let l be h(-1). Let g = 30 - l. What are the prime factors of g?
2, 5
Suppose 0*x = -9*x + 54. Let v(k) = -k**2 + 8*k + 2 - 1 - 8. What are the prime factors of v(x)?
5
Let f(o) = o + 3. Let c be f(-5). Let d be c/(-9) - (-100)/36. Suppose -6*u + 15 = -d*u. What are the prime factors of u?
5
Let r(m) = -m**2 - 2*m + 2. Let h be r(-2). Suppose 0 = -2*g + 14 + h. List the prime factors of g.
2
Let h(s) = 2*s. Let p be h(1). Let x(y) = -5*y - 9 - p*y**2 - y**2 + 4*y**2. What are the prime factors of x(8)?
3, 5
Let j be 7*(23/7 - 3). Suppose -w + j*w - 9 = 0. What are the prime factors of w?
3
Let o be (6/(-4))/(6/(-8)). Suppose -o*v - v - 2*m + 1 = 0, 0 = -v + m - 3. What are the prime factors of (2*v)/(6/(-12))?
2
Let j be (-764)/3 - 2/(-3). List the prime factors of (-2)/(-3) - j/6.
43
Suppose v + 2 = 5*o, 2*v + o + 4 = -2*o. Let p = 6 - v. Let l = 4 + p. List the prime factors of l.
2, 3
Suppose 4*b = -2*o + 1630, -4*b + 5*o + 1238 = -413. What are the prime factors of b?
409
Let g = 15 + -12. Suppose g = -3*w + 108. What are the prime factors of w?
5, 7
Suppose 5*f = -0*f - 460. What are the prime factors of (4/8)/((-2)/f)?
23
Let b(d) = 2 + 0 - 6 - 3*d + 2*d. Let q = 13 + -21. List the prime factors of b(q).
2
Let a be 4/5*2345/14. Suppose 5*t - c - a = 0, 3*t - t = 5*c + 49. What are the prime factors of t?
3
Let q(x) = 8*x**3 - 2*x**2 + x + 1. What are the prime factors of q(1)?
2
Suppose 2*x + 120 = v, 0 = -3*v - 17*x + 14*x + 333. List the prime factors of v.
2, 3, 19
Let t = -79 + 125. What are the prime factors of t?
2, 23
What are the prime factors of 15 - 3/(-3 + 0)?
2
What are the prime factors of (-20)/90 + 371/9?
41
Let w(x) = 16*x**2 - 1. Let s be w(1). Suppose 3*t = s + 6. List the prime factors of t.
7
Let k(r) = -43*r + 1. List the prime factors of k(-1).
2, 11
Let w be (35/(-14))/(2/(-4)). Suppose -4*i - 19 = -w*i. What are the prime factors of i?
19
Let a = -3 + 6. Suppose -2*c + 5*c = 0. Let m = a - c. What are the prime factors of m?
3
List the prime factors of (-6)/(-2)*630/27.
2, 5, 7
Let d(r) = r - 1. Let t be d(1). Suppose 5*y + l - 124 = t, 4*y + 2*l - 71 = 33. What are the prime factors of y?
2, 3
Suppose 10*s = 7*s + 399. What are the prime factors of s?
7, 19
Let o(x) = x**2 + x - 2. Suppose 3*t - 2 = 2*t. What are the prime factors of o(t)?
2
Let w = 656 - 389. Suppose -w = -5*x - 72. What are the prime factors of x?
3, 13
Let s = 83 + 11. What are the prime factors of s?
2, 47
Suppose -3*k + 4*p = 26, -3*p + 4*p = 2*k + 9. Let y = k - -4. Suppose -4 = -y*a + 4. What are the prime factors of a?
2
List the prime factors of 2013/22*4/6.
61
Let o = 1 + -1. Let n(b) = b**3 + b**2 + b + 20. Let c be n(o). Suppose -5*k + 4*l + c = -6, 3*k - l = 17. List the prime factors of k.
2, 3
Suppose 2*a - 178 = -4*c, 0*a = 5*a + 4*c - 433. List the prime factors of a.
5, 17
Let y(o) = 15*o**2 - 2*o + 2. What are the prime factors of y(1)?
3, 5
Let k = 16 - 7. Let u be 1/(-2) - k/(-2). What are the prime factors of 10 - u*2/4?
2
Let k = 62 + -43. List the prime factors of k.
19
Let n = 45 - 13. Let r = n - 17. List the prime factors of r.
3, 5
Let m be (-1)/(-2) - 9/(-2). Suppose v = -m + 1. Let p = v + 11. What are the prime factors of p?
7
Let w be 4/(-10) + (-1008)/105. List the prime factors of (-335)/w - (-2)/(-4).
3, 11
Let p be (-1)/(-3) + 452/(-6). List the prime factors of ((-7)/(-3))/((-5)/p).
5, 7
Let h(o) be the first derivative of o**6/45 - o**5/120 - 2*o**3/3 - 1. Let n(p) be the third derivative of h(p). What are the prime factors of n(1)?
7
List the prime factors of ((-101)/2)/((-5)/10).
101
Let t(d) = d**2 + 2*d. Let c be t(-3). Suppose 0 = -7*s + c*s + 28. What are the prime factors of s?
7
What are the prime factors of (4 - -196 - 8) + -1 + 0?
191
Let t = 78 - 44. List the prime factors of t.
2, 17
Let q be 8/36 + (-86)/(-18). Suppose q*o = 2*l - 2 + 8, 0 = -2*o + 2*l. Let i(x) = 2*x**3 - 4*x**2 + 2*x + 2. What are the prime factors of i(o)?
2, 3
List the prime factors of (-4)/(-2)*13 + 1.
3
Let m be 2/4 + 6/(-12). Let n be (-4)/22 + (-97)/11. Let h = m - n. What are the prime factors of h?
3
Suppose 4*p - 249 = z - 0*z, -z = -p + 63. What are the prime factors of p?
2, 31
What are the prime factors of (82/6)/(1/3)?
41
Let x(b) = -2*b**2 - 23*b - 13. Let s(t) = -t**2 - 12*t - 7. Suppose 3*f - 8 = 13. Let u(c) = f*s(c) - 4*x(c). List the prime factors of u(-8).
3
Let y = -3 - -6. Suppose 4*n = p - y*p - 22, 3*p + 12 = n. Let r = n + 5. List the prime factors of r.
2
Let b = 215 - 123. List the prime factors of b.
2, 23
Let f(b) = 2*b**3 - b**2 + 4*b - 4. Let w be f(3). Let m = w - 31. List the prime factors of m.
2, 11
Let t(i) = 4*i**2 + 3*i + 4. What are the prime factors of t(-3)?
31
Let u(j) = -j**3 - 6*j**2 - j + 3. Let | {
"pile_set_name": "DM Mathematics"
} |
1*g)*(-72*g + 3020 - 3020).
-2232*g**4
Expand -2424*b**2 + 24051*b**2 + 5908*b**2 + (1 - 2 + 3)*(3*b + b**2 - 3*b).
27537*b**2
Expand (0 - 1 - 3)*(-4 + 2 + 8)*((0*z + 15*z - 3*z)*(z + z - 3*z) - 7*z**2 - 20*z**2 + 8*z**2).
744*z**2
Expand -122*l**2 + 14*l**2 - 92*l**2 + (0*l - 2*l - l)*(-l + l + l).
-203*l**2
Expand -191 + 191 - 98*h - 1 + 1 - 2*h + (3 + 0 + 0)*(-18*h + 2*h - h).
-151*h
Expand 2*p**3 + p**3 - 5*p**3 + (-5*p**2 + 6*p**2 + 3*p**2)*(3 - 2*p - 3) + p**3 + 671*p + 0*p**3 - 458*p.
-9*p**3 + 213*p
Expand (32 - 32 + 2*j**2)*(366*j**3 + 60*j + 360*j**3 - 1 - 725*j**3).
2*j**5 + 120*j**3 - 2*j**2
Expand (-1 + 2*z**5 + 1)*(289 + 24 + 180) - 7*z**2 - 2*z**5 - 4*z**2 + 9*z**2 - 7.
984*z**5 - 2*z**2 - 7
Expand (159*x**4 - 202*x**4 - 194*x**4)*(0*x + 2*x + 0*x + 1 + 2*x - 1 + (0 - 3 + 2)*(-x + 0*x + 2*x) + 2*x + 1 - 1 + 3*x - 8*x - 4*x).
948*x**5
Expand (-38*g + 38*g + 4*g**2)*(164 + 168 - 69 + (1 + 0 + 2)*(-4 + 2 + 3) - 3 + 2 + 3).
1072*g**2
Expand (49343*n + 18*n**2 - 49343*n)*(0*n - 2*n + 3*n) + (2*n - 2*n + 2*n**3)*(0 + 4 - 2).
22*n**3
Expand (45812 + 680*c**3 - 45812)*(2*c - 3*c + 0*c).
-680*c**4
Expand (2*w**4 + 4*w**4 - 4*w**4)*(-10385*w - 34685*w - 4769*w - 3507*w).
-106692*w**5
Expand (4 - 5 + 4)*(-8*v + 77 - 40 - 38) - 3*v - v + 3*v + (v + 0 + 0)*(2 - 1 - 2).
-26*v - 3
Expand 2 - 2*g**3 - 2 + (698*g - 102 + 102)*(g**2 - 4*g**2 + g**2).
-1398*g**3
Expand (0 - 3 + 1)*(-2*r + 2*r + r)*(21311 - 12350 - 12931).
7940*r
Expand (0*m**4 - 5*m**4 + 2*m**4)*(29 - 2439*m + 27 - 91 + 35).
7317*m**5
Expand (-1621*k - 2253*k - 5258*k + 2363*k - 2537*k + 4*k**2)*(-2*k**3 + 2*k**3 - k**3).
-4*k**5 + 9306*k**4
Expand -3146*f + 1 - 1 + 2658*f + (4 + 0 - 2)*(0*f - 2*f + 3*f) - 3 + 3 + f.
-485*f
Expand (4*a**2 - 4*a**2 + a**2)*(-19*a**2 + 117*a - 214*a + 112*a).
-19*a**4 + 15*a**3
Expand (-3 - 3 + 4 - d)*(-531*d**4 - 213*d**4 + 123*d**4).
621*d**5 + 1242*d**4
Expand (-1 + 6 - 4)*(4*f + 4 - 4)*(-24*f - 1 + 15*f - 12*f + (-f - 2*f + f)*(1 - 4 + 0)).
-60*f**2 - 4*f
Expand -3*k**2 - 4*k**2 + 5*k**2 + (0 + 0 - 2*k)*(-3*k + k + 4*k) + 0*k**2 + 3*k**2 - 4*k**2 - 6*k**2 + 27*k - 27*k + 107*k**2 - 37*k**2 + 44*k**2.
101*k**2
Expand (4*r - 730 + 730)*(-r + 0 + 0) + (2*r - r + 0*r)*(2 - 2 - r) - 15*r**2 - 12 + r**2 + 13.
-19*r**2 + 1
Expand (-24 + 24 + 12*m)*(48*m**3 + 50*m**3 + 278*m**3).
4512*m**4
Expand (2*x - 3 + 3)*(-10*x - 34*x + 10*x)*(4 - x - 4)*(2 + 0 - 1).
68*x**3
Expand (m - m + m**3)*(157451 - 157451 + 312*m + m - 2*m + 3*m + 0*m - m + 2*m + (-2*m + m + 3*m)*(1 - 4 + 2) - 2*m + 1 - 1)*(-2*m + 4*m + m).
933*m**5
Expand 3*z - z + 0*z + (-z - z + 4*z)*(-1 - 3 + 8) + (-16*z + 3*z - 15*z)*(-3 + 5 + 0) - 287 + 287 - 83*z.
-129*z
Expand (4*g**3 - 3*g**3 - 3*g**3)*(15*g + 6*g - 6*g) - 3*g**4 - 15*g**4 - 33*g**4.
-81*g**4
Expand (3 - 3 + 1 - 2*y)*(-173*y - 256*y + 140*y).
578*y**2 - 289*y
Expand -n - 5*n - n + (-21 - 20 + 14)*(5 + 3*n - 5) + 3*n + 0 - 2*n + 1.
-87*n + 1
Expand a**5 - 11*a**5 + 6*a**5 + (-2 + 2 + 2*a)*(3*a**4 - 3*a**4 + 3*a**4) + 13*a**5 + 276*a**2 - 276*a**2.
15*a**5
Expand (-10 + 5 + 11)*(-8*v - v - 2*v)*(-1 + 2 + 0)*(-6 - 7 + 1).
792*v
Expand (3*g + 0*g - 4*g)*(-17*g + 10*g + 2*g) - 3*g**2 + 2*g - 2*g + (128*g - 178*g + 111*g)*(3 + 3*g - 3).
185*g**2
Expand -2*r**3 + 17*r**3 + 28199*r**4 - 28195*r**4 + (-10*r + 3*r - 15*r)*(3*r**3 - 2*r**3 + r**3).
-40*r**4 + 15*r**3
Expand 3 - 3 + 26*v + 26*v - 3*v + 6*v + 7*v + (-1 - 3 + 2)*(-2*v + 5*v - v).
58*v
Expand i - 3*i**2 - i - 11*i**2 + 19*i**2 + 20*i**2 + (-2 + 2 - 2*i)*(0*i + 0*i - i) + (-3 + i + 3)*(0 + 20*i + 2 - 2*i - i).
44*i**2 + 2*i
Expand (-264 + 216 - 113)*(-4*n**5 + 15*n**5 + 4*n**5).
-2415*n**5
Expand (4*y - 3*y + y)*(2*y**2 + 2*y**2 - 3*y**2) + 2*y**3 - y**2 + y**2 + 1704*y**2 + 4*y**3 - 826*y**2 - 824*y**2.
8*y**3 + 54*y**2
Expand (2 - 17 + 4)*(-2*l - 2*l + 3*l)*(-85*l - 186 + 94 + 94).
-935*l**2 + 22*l
Expand (-1001 + 574*o + 1001)*(8*o + 2*o + o).
6314*o**2
Expand -g**2 + g**2 + 3*g**3 + (-2 + 3 + 1)*(-2*g**2 + 2*g**2 - 2*g**3) + 11710*g**3 - 6*g**2 - 10 - 10132*g**3 + 10.
1577*g**3 - 6*g**2
Expand (0*n + 4*n - 3*n)*(-2 + 5 - 2)*(-5 - 5527*n + 5453*n + 6).
-74*n**2 + n
Expand (0*r**2 - 4*r**2 + 0*r**2 - 5*r**2 + 2*r**2 + r**2 + (-r + 0*r - r)*(1 - 1 - 2*r) + r**2 + r - r)*(5*r + 5*r + 0*r).
-10*r**3
Expand -406 + 406 + 100*z**4 + (-3 + 3 + 1)*(2*z + 2*z**4 - 2*z) + (-z + 1 - 1)*(19*z - 6 - 2*z**3 - 19*z) + 2*z**4 - 5*z**4 + 9*z**4.
110*z**4 + 6*z
Expand 5*b**5 - 2*b**5 - 5*b**5 + (b**2 - b**2 - b**2)*(-2*b**3 - 4*b**3 + 5*b**3) + 51329 - 51329 - 9*b**5.
-10*b**5
Expand (12*w + 2*w - 10*w)*(-1640*w**2 + 225*w**3 + 1640*w**2).
900*w**4
Expand (-1622034 + 987*n + 1622034)*(0*n**2 + n**2 + n**2) + 3*n**3 + 0*n**3 + 0*n**3.
1977*n**3
Expand (-2*r**2 - r**2 + r**2)*(64410*r + 1257 + 1841 - 64412*r).
4*r**3 - 6196*r**2
Expand (-3 + 5 - 1)*(-4*h + 0*h + h) + 36675 - 37281 - h + 0*h.
-4*h - 606
Expand (8 + 2*o**2 - 3*o**2 - 10)*(8102*o + 1062 + 1066 + 1063 - 3191).
-8102*o**3 - 16204*o
Expand 332515 - 332515 - 837*q + (1 + 2 - 2)*(q - q - q) - q - 2*q + 2*q - 2 + 2 - q.
-840*q
Expand (-c**4 - 2*c**4 + 2*c**4 + (5*c + c - 3*c)*(0*c**3 + 4*c**3 - 3*c**3) + c**4 + 5*c**4 - 5*c**4)*(438 - 129*c - 438).
-387*c**5
Expand (0 + 0 - 2*m)*(-1 - 2 - 4)*(-176*m**2 - 26*m**2 - 69*m**2 + m**4).
14*m**5 - 3794*m**3
Expand (-16*i**3 + 3*i**3 - i**3)*(-63*i - 29*i - 67*i).
2226*i**4
Expand (-5 - 1157*f + 2287*f + 5)*(-3*f + f + 1 + 6*f).
4520*f**2 + 1130*f
Expand (t + 0 + 0)*(31 - 336 - 381) + (3 - 3 + t)*(1 - 1 + 4).
-682*t
Expand (79*v + 18 - 18)*(-1 - 3 + 5 + (0 - 1 + 2)*(-1 - 1 + 1) + 1 - 2 + 2)*(-1 + 2 + 2 + (0 + 0 + 1)*(-1 + 4 - 5)).
79*v
Expand (-117 - d - 15*d + 115)*(71*d + 139*d + 92*d).
-4832*d**2 - 604*d
Expand -k + 3 - 3 + (-36*k - 56 + 56)*(3 + 14 - 2).
-541*k
Expand (3*o**2 - 3*o**2 - 3*o**4)*(12*o + 4*o + 7*o) + 15*o**5 + 14*o**5 + 2*o**5.
-38*o**5
Expand (-3247 + 2389 - 3455)*(-2*b - 3*b + 3*b)*(b**2 + 0*b**2 - 2*b**2).
-8626*b**3
Expand (493 + 35*v**3 - 493)*(16 + 3*v - 5 - 9).
105*v**4 + 70*v**3
Expand (4*s**2 - 3*s**2 + 2*s**2)*(-10*s + 26 - 10*s + 16*s + 2*s + 3*s - 6*s + (-1 + 1 - s)*(-2 + 1 + 2)) + 3*s**3 - 7*s**3 + 0*s**3.
-22*s**3 + 78*s**2
Expand k + 0 + 0 - 29 + 24*k + 29 + (-3 + 0 + 2)*(-4 - 2*k + 4) - 2 + 2 - 5*k.
22*k
Expand (105 - 85 - 70)*(3*z - z - z) - 4*z - 3*z + z.
-56*z
Expand (-4 + 0 + 2)*(17*o**4 - 3632 + 1813 - 3*o + 1817).
-34*o**4 + 6*o + 4
Expand -61*r**5 - 9*r**5 + 534*r**5 + (-2*r + 2*r - 2*r)*(3*r**4 - r**4 + 0*r**4).
460*r**5
Expand (-1 + 5 - 3)*(-2 + 1 - 1)*(z + 2*z - z)*(2 + 3 - 3)*(-2 + 2 - 2)*(-13 + 16 - 12).
-144*z
Expand (-7 + 7 + c**3)*(0*c + 0*c + 2*c) + (2*c**2 - 10*c**2 - 75*c**2)*(2*c**2 + 2*c - 2*c).
-164*c**4
Expand (21 - 13 + 5)*(2 + 2*a + 17 + 10 - 3).
26*a + 338
Expand (-5*u + 2*u + 2*u)*(12*u**3 - 1 + 1) + 57*u**4 + 83*u**4 - 40*u**4.
88*u**4
Expand (t**4 - 3*t**4 + 4*t**4 + (-2 + 2*t + 2)*(0*t**3 + 0*t**3 + t**3) + 5*t**3 - 5*t**3 + 2*t**4 - 3*t**4 + 3*t**4 + 2*t**4)*(-2 + 3 - 4)*(89 - 179 - 280).
8880*t**4
Expand (-433 - n + 749 - n**2 - 411)*(-189 - 41*n**2 + 189).
41*n**4 + 41*n**3 + 3895*n**2
Expand 571*j**2 - 95 + 63 + 34 + (j - 6*j + 3*j)*(3*j + 0*j - j).
567*j**2 + 2
Expand (-1 - 2*f + 1)*(-f**2 - f**2 + 0*f**2 + (-3 + 3 + 30*f)*(-2*f - 4*f + 3*f) + 2*f + 0*f**2 + 24*f**2 - 5*f**2).
146*f**3 - 4*f**2
Expand (2*l**2 + 0*l**2 - 7*l**2)*(5 - l - 6 + 3*l) + (0 + 2*l**2 + 0)*(-15*l + 60*l - 108*l).
-136*l**3 + 5*l**2
Expand (-q + 3*q - 20*q + 13*q + 42133*q**2 + 5*q)*(-2*q + 3 - 3).
-84266*q**3
Expand (5*m**4 + m**4 - 4*m**4)*((1 + 0 + 0)*(0 + 2 - 4) - 4 + 5 - 2 + 407 + 546 - 1598)*(-2*m - 3*m + 0*m).
6480*m**5
Expand (f + f + 0*f)*(-3*f + 0*f + 5*f) + (1 - 1 + f)*(3 + 8*f - 3) + 3*f**2 - 3*f**2 - 3*f**2.
9*f**2
Expand (34 + 49 + 11 - 16)*(0*m**2 + 11*m**2 - 3*m**2 - m**2 + 2*m**2 - 2*m**2 + (-2*m**2 + 3*m**2 + 0*m**2)*(0 - 2 + 0)).
390*m**2
Expand (3 - v - 3)*(17*v**2 - 7*v**2 - 19*v**2)*(-32 - 1 + 4)*(-1 + v + 1) + (-v**4 + 0*v**4 + 0*v**4)*(-3 + 0 + 1) - 2*v**3 + 2*v**3 + v**4.
-258*v**4
Expand (-4*c**2 - 2*c**2 + 4*c**2)*(-196 + 574 + 62 + 39 - 9).
-940*c**2
Expand (-d + 2*d**2 + 4*d**2 + 0*d)*(42*d + 530 - 531 - 15*d).
162*d**3 - 33*d**2 + d
Expand (-448*t - 462*t + 69*t + (0*t - t + 0*t)*(-5 + 3 + 0))*(-1 + 1 + 1).
-839*t
Expand | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0 = d - 5*d. Let q be (1 + -4)*(d + -5). Suppose -2*r = -3*b + r, 0 = 5*r - q. Solve 2*y + 10 = 0, -6*i + 2*i - b = 3*y for i.
3
Suppose 7*i - 5*i = -4. Let u be i*(-22)/(-8)*-2. Suppose -u = -4*a + 13. Solve 2*n + 19 = -5*f + a*n, -2*f - 3*n = 3 for f.
-3
Let l be ((-16)/20)/((-4)/10). Suppose 0 = -l*c + 3 + 1. Solve 0 = 4*x + 3*s - 5, -c*x - 4*s = -0*s for x.
2
Suppose 3*x + 3*t - 9 = t, x = -3*t + 3. Solve 2*h = 3*d - d + 16, 0 = 4*h - x*d - 28 for h.
4
Let t(v) = -v**2 - 2*v + 3. Let w be t(-3). Let m(r) = r - 3. Let g be m(4). Let f be 1*(g - 31)/(-3). Solve -3*s + 4*h = f, w*s + s = -h - 1 for s.
-2
Let k = -97 + 100. Solve 2*f + 21 - 6 = -3*s, -15 = -2*f + k*s for f.
0
Suppose -3*k = y - 2, 4*k + 0*k - y = 12. Solve -i - 3*b = -b + k, -b + 8 = 5*i for i.
2
Suppose 2*c + 20 = l - 5, -30 = 2*c - 2*l. Suppose s = 5*k + 40, 4*k + 3*s + 13 = -0*k. Let d = k - c. Solve -5*q = d*j + 40, 5*j - 5*q + 10 = -2*q for j.
-5
Suppose x - 6 = -t, -3*t + 5*x = -7*t + 26. Suppose 5*w + 3 - 13 = -5*g, 0 = -g - 2*w - 1. Suppose d - g = t. Solve d = -5*z - 3*u, -4*z = 4*u - 2*u + 6 for z.
0
Let q = -5 - -3. Let i be (-5)/(-2) - 1/q. Suppose i*w = 2 + 7. Solve -5*y - 4*k - w = -0*y, -5*y = -3*k + 24 for y.
-3
Suppose -15 + 5 = -5*b. Suppose r + 2*y = 4 + 1, -b = -r + y. Suppose -5*a - 3*t = -135, -r*t - 4 = 11. Solve 4*u + 7 = -5*v - 10, 5*u - a = 4*v for v.
-5
Suppose 5*s - 29 = -d + 88, -3*s = -d - 75. Let i be (-1)/(-2*3/s). Suppose i*n - 8 = 2*h, -2*h - n + 0 + 2 = 0. Solve -t + 2*g + 6 = h, 2*t + 0*g = g for t.
-2
Let a(b) = -b + 19. Let m be a(16). Solve m*z + 9 = 4*u, 0 = -4*z + z + 3 for u.
3
Suppose 0 = -3*z - 5*f + 14, -4*z + 3*f - 2*f = -11. Suppose 0 = -3*l + r + 4, 0*l + 2 = 3*l - 2*r. Solve -l*w = -o + z, 2*o - 10 = 5*w - 0*o for w.
-4
Let m be 1*(-1 - 1)*-1. Let k be (20/(-6) + m)*-3. Suppose -2*x + 5*y = -6, -5*x = k*y - 36 - 12. Solve -t + 2*z + x = -3*t, 5*t + 16 = -4*z for t.
0
Let t(r) = -r**3 - 6*r**2 - 2*r - 7. Let o be t(-6). Suppose -265 = -o*p - 0*p. Solve 5*c - 4*g + 18 = p, -c + g = -8 for c.
3
Let p = 31 - 25. Solve -t - 3 = n, -4*t - p = -2 for n.
-2
Suppose -2*s - 4 = 0, -4*w - w + 8 = s. Solve -2*g + 0 = 2*v + 4, 0 = -w*g + 4*v - 22 for g.
-5
Let f(c) = -7*c**2 + c. Let r be f(1). Let h be r + 3 + -3 + 14. Solve -3*p = 2*p - 5, -n = 4*p - h for n.
4
Let u(b) = b**3 + 4*b**2 + b - 2. Let s be u(-2). Let j(r) = 2*r - 4*r - s + 3*r. Let a be j(6). Solve 0 = 5*z + d + a*d + 12, d = 2*z + 7 for z.
-3
Suppose -o + 3*k - 8 = 5*k, 4*o - 5*k - 20 = 0. Suppose 0*q + 2*q = o. Suppose -3 = -a - q. Solve 4*s - 3*w = -9, -w = -a*w + 6 for s.
0
Let n(a) be the second derivative of 0 + 0*a**2 + 2*a + 1/2*a**3. Let h be n(2). Solve 0 = -2*w + t + 9, 0 = w - 2*t - h - 6 for w.
2
Suppose -4*u = 12, 6 = -2*a - a - 4*u. Suppose -4*d + 18 = -a*p + 2, 5*d = 3*p + 22. Solve o + 2*o - 4*m = -7, d*o = 4*m - 2 for o.
-5
Suppose 4 = 4*t - 4. Solve -3*h = -5*h - 2*w - 6, 6 = h - t*w for h.
0
Let j be (3/3)/((-1)/(-5)). Suppose -z + 0*z - 15 = 0. Let p be 8/(-10)*z/6. Solve -p = -n, 5*n + j = r + 4*r for r.
3
Suppose g + 3*g = 36. Suppose -11 - g = -5*q. Solve b + 19 = 4*s + 3, -q*s + 3*b + 16 = 0 for s.
4
Let n = -1 - -2. Let w = 4 + n. Solve 2*u + w*t + 2 = -0*t, 3*t + 4 = -4*u for u.
-1
Suppose -14 - 13 = -3*k. Let h(q) = q**2 - 4*q - 3. Let d be h(5). Suppose 4*j - 14 = -d. Solve j*g - a = 17, -a = 3*g - k - 4 for g.
5
Let o = -91 - -94. Solve o*p - 2 = -3*h - 8, -20 = 3*h - 4*p for h.
-4
Let c be 7/((-28)/16) + 30. Solve 0 = 4*y - 3*a + 10, -2*y - c = 3*y + 3*a for y.
-4
Let v = -53 - -96. Suppose -4*t - 3*j - 49 = 0, -3*j = -5*t - v + 2. Let r = -6 - t. Solve r*g = 5*x + 21, 25 = -2*g + 7*g - 5*x for g.
4
Let a = 70 + -68. Let g(s) = 0*s**2 - 3 - s**3 + 1 + 3*s**2. Let b be g(a). Solve -2*x + y - 6 = 0, b*x - 2*y + 0*y + 10 = 0 for x.
-1
Let p(n) = 14*n - 42. Let a be p(3). Let l(f) = -f**2 + 21. Let m be l(0). Let g be (2 - 3)*(2 + -17). Solve 5*j - 5*d - 14 - m = a, 3*j = d + g for j.
4
Let h be (2/(-2))/(3/(-15)). Suppose m - h*b + 15 = -1, -5*b + 40 = 5*m. Solve -y + 2 = 2*s - m, 4*s = -5*y for y.
-4
Let u(a) be the first derivative of 9/2*a**2 - 1/3*a**3 + 2 - 9*a. Let d be u(7). Solve 3*c = -d*h - 32 - 2, c - h = 2 for c.
-3
Let w(h) = h**3 + 2*h**2 - 6*h - 1. Let q be w(-3). Solve -2*a = -v + q, 5*v + 7*a = 3*a - 30 for v.
-2
Let j = -54 - -59. Solve t - 2*i = j, 3*t = -t - 3*i + 20 for t.
5
Let u be ((-2)/6)/(8/(-24)). Solve s = -3*w + 5*w - u, -2*s = 5*w + 20 for w.
-2
Let r(o) = o - 4. Let h be r(8). Suppose 0*g = -h*g + 8. Solve -n = u, 3*n + 25 = -g*u + 4*u for u.
5
Suppose -3*m - 2*m = 0. Let a be m/((-3)/(-1)) + -1. Let h be 0 + 1 - 1*a. Solve 4*p - h*r - 2 = 0, -3*p + 4*p + 3*r = 18 for p.
3
Let h(o) = 2*o**2 - 2*o + 1. Let p(c) = -c**3 + 9*c**2 - 9*c + 10. Let f be p(8). Let m be h(f). Solve -19 = t + 5*a, m*t - a - 15 = -6 for t.
1
Let a be 3/(4/((-80)/(-12))). Let d be (-1)/2*(-40)/a. Suppose -u + 8 = 3*u. Solve d*r - g = 8, 5*r + 0*g - 13 = u*g for r.
1
Let t(f) = -f**3 - 7*f**2 - f + 5. Let k be t(-7). Suppose -3*r + 4*u + k = -7*r, 7 = 3*r - u. Solve 4*j - 5*g + 25 = 0, -3*g = -3*j - 14 - r for j.
0
Let d(u) = -u**2 - 10*u + 2. Let f be d(-10). Suppose 0 = 4*h - 0*c + 3*c - 19, -19 = -5*h + c. Solve 0 = 2*r - 0*a - a - 10, 0 = h*r + f*a - 12 for r.
4
Let b be (-1)/(-2) - 6/(-4). Suppose -r - 3*y = r - 8, -2 = -4*r + y. Suppose x + 0*x - 4 = 0. Solve -10 = 3*u + b*q - r, -x*q = 5*u + 15 for u.
-3
Suppose 0 = -4*b + 9 - 1. Let l be 3 + -1 - b*-1. Solve -4*a + l*n = -16, 3*a - a + 3*n = 8 for a.
4
Suppose 9 = 3*l - 2*c, -2*l - l + c = -6. Let d be (0/(-1) + l)/1. Suppose m - d = 5. Solve -2*v = -m, 5 = -5*z - v - 12 for z.
-4
Let u be 168/18 - 9/27. Let x(j) = j - 1. Let k be x(6). Solve 6 = -3*h, p - 3 + u = -k*h for p.
4
Let n be 60/75 - (-61)/5. Solve -3*o - g = -3 + 9, -4*o = 3*g + n for o.
-1
Suppose 0 = 2*f - 2*i - 3 - 11, -3*i = f - 3. Let h(o) = o**3 - 6*o**2 + 2*o - 8. Let d be h(f). Solve -d*u + 6 = -k - 10, -3*u - 5*k + 12 = 0 for u.
4
Let z(j) = 3*j + 10. Let t be z(-6). Let u = t + 10. Solve 0 = -3*d + 9, -a + u*d = -d + 8 for a.
1
Let x(i) = i**3 - 13*i**2 + 13*i - 8. Let z be x(12). Suppose -5*w + 4*t = -48 + 15, -3*t = 6. Let c be ((-3)/w)/(z/(-20)). Solve 4*y + l = c*y, -l = 3 for y.
3
Let x = -13 - -18. Suppose -6 + 0 = -3*b. Solve x*g - 24 = 2*j, -2 = 4*g - b*g + 5*j for g.
4
Suppose -5*s - 7 = 4*a, 0 = -2*a - 4*s - 11 + 3. Suppose -3*q = -3, -a*v + q + 32 = v. Solve 3*r + 5 = -2*c - 6, -5*r + v = -4*c for c.
-4
Let w be 3 - (-1 - -1)/(-1). Solve -14 = -4*i - 3*s, -w*s + 10 = 2*i - 0*s for i.
2
Let i be (0*2/(-8))/2. Let v be (-1 - 3)*60/(-16). Suppose i = 2*a - a - v. Solve -f + 3*q = q - a, 5*f + 3*q = 10 for f.
5
Suppose 0*m = 2*m. Solve -4*y + 6*y + 4 = m, g = -2*y - 2 for g.
2
Let x = -30 + 32. Solve -x*y = 2*d - 4, 2*y + 5*d = 2 + 5 for y.
1
Let d be 3*(-6)/(-9) + -6. Let z be (-1 + d)*(-1 - 0). Solve z*l - 5*h = -4*h + 8, -10 = -l + 3*h for l.
1
Suppose -3*k = -8*k + 25. Let x = 2 - -1. Solve 4 = i + x*b, k*i - 3*b = b + 20 for i.
4
Let i(f) = -f + 4. Let w be i(-3). Suppose -3 + w = 2*p. Solve -3*g + 2*j = 15, -3*g - 4*j + p = -1 for g.
-3
Let r = -7 + 10. Let j be 0 + 0 + r + -1. Suppose -j*c + 3*c = 2. Solve 0*u - 7 = u - 3*p, -2*u + c*p - 6 = 0 for u.
-1
Let a = -26 - -44. Let x be 17/2 + a/12. Let m = -1 - -1. Solve 5*v + x = 5*r, m*v - 24 = -5*r - 2*v for r.
4
Let b(m) = -m**2 + 2*m. Let a be b(0). Solve -f = -4*v - 1, a = 4*f + v + v + 14 for f.
-3
Let g(j) = -3*j + 4 + 7 + 2*j. Let q be g(9). Solve w - 18 = -4*m, -5*m = w - q*w - 27 for m.
5
Suppose -z = 4*r - 15, -2*z - r = -z - 3. Let u be z - -1*(3 + -1). Suppose 4 - u = 2*f - 3*a, -3*f - a = -10. Solve 3*m - 1 = 4*m - 2*k, -9 = -f*k for m.
5
Let y = -13 + 24. Solve 2*t - 21 = 7*t + 3*v, -3*t - v = y for t.
-3
Let l = -5 + 26. Suppose -6*h - 2 = -4*h. Let r be 2 + 1/h - -7. Solve 4*g = 5*a + 1 - l, 2*g + r = 2*a for g.
0
Suppose 0 = l + 2*l - 4*b - 18, -3*l + 3*b = -15. Solve 0 = k + 4, l*u + 18 = -3*k - 4 for u.
-5
Let o(v) = -v**2 + 1. Let w be o(-1). Let d = 6 - w. Let j = 10 - d. Solve -4*s = 5*p + 37, -p - 40 = 5*s + j*p for s.
-3
Let c = 0 + 0. Suppose -2*i + 5*i = 75. Suppose -5*d + 5*v = i, 0*d = -4*d - v + 5. Solve d = -k + | {
"pile_set_name": "DM Mathematics"
} |
i = -84 + 86. Let m(j) = 50*j**2 + 42*j**i - 108*j**2. Calculate m(d(c)).
-64*c**2
Let y(r) = 44*r + 581. Let o(g) = 485*g. What is y(o(j))?
21340*j + 581
Let a(u) be the second derivative of 130*u**3/3 + 311*u. Let r(y) = -y. Calculate a(r(h)).
-260*h
Let w(l) = 260*l. Let q(j) = 357802*j**2. What is q(w(b))?
24187415200*b**2
Let y(n) = 12*n**2. Let z(g) = -105*g**2 - 8*g + 17. What is z(y(a))?
-15120*a**4 - 96*a**2 + 17
Let f(v) = 37*v**2 - 16*v - 4. Let b(y) = -2*y**2 + 4*y + 1. Let r(t) = -4*b(t) - f(t). Let k(w) = -2*w. What is k(r(h))?
58*h**2
Let w(p) be the third derivative of -p**5/60 + 16576*p**2. Let m(b) = -6*b**2 + 3*b. Let a(q) = -q**2 + q. Let s(k) = -3*a(k) + m(k). Give w(s(h)).
-9*h**4
Let s(c) = 16*c**2. Suppose -7*b + 4718 + 1155 = 0. Let g(m) = -1677*m + 842*m + b*m. Give s(g(q)).
256*q**2
Let s(r) = 13*r - 12*r + 9*r. Let b = 48 + -39. Let n(v) = -b*v + 29*v - 16*v. What is s(n(u))?
40*u
Let v = 7538 + -4612. Let c(k) = -k**2 + 4 - 4 - v*k + 2926*k. Let w(j) = -202*j**2 + 2*j. Calculate w(c(l)).
-202*l**4 - 2*l**2
Let z(a) = -5*a**2. Let y(f) be the second derivative of -f**7/630 - 4*f**4/3 - f**2/2 + 7*f. Let j(p) be the third derivative of y(p). Determine z(j(w)).
-80*w**4
Let a(g) be the first derivative of -g**3/3 + 1. Let v = 358 + -356. Let z(r) = -5*r - v + 11*r + 2. What is a(z(d))?
-36*d**2
Let w = 167 + -169. Let k(c) = -9*c. Let a(x) = 9*x - 1. Let z(o) = w*a(o) - 3*k(o). Let r(d) = -2*d. Determine z(r(u)).
-18*u + 2
Let k(i) = -18*i. Let s(u) = -19*u + 76. Let z(b) = 75*b - 285. Let t(g) = -15*s(g) - 4*z(g). Determine k(t(d)).
270*d
Let o(t) = -137*t + 2. Let i(d) = -11*d**2 + 14*d. Determine i(o(c)).
-206459*c**2 + 4110*c - 16
Let h(b) be the first derivative of -2*b**3/3 - 18. Let y(x) = 6*x + 4. Let k(q) = 13*q + 9. Let w(t) = 4*k(t) - 9*y(t). Give w(h(r)).
4*r**2
Let i(s) = 5241*s**2. Let v(n) = -13*n**2 + 5*n - 10. Let d(t) = -16*t**2 + 6*t - 12. Let g(k) = -5*d(k) + 6*v(k). What is g(i(m))?
54936162*m**4
Let n(d) = 240*d. Let a(c) = -70*c**2 + 39*c**2 + 14*c**2. Calculate a(n(v)).
-979200*v**2
Let m(y) = -4*y - 3. Suppose 16*w + 5*g - 10 = 11*w, -3*w - 7*g = -2. Let q(v) be the second derivative of 1/6*v**w + 0*v**2 - 4*v + 0. Determine m(q(o)).
-4*o - 3
Let j(l) = l + 13. Let n(g) = -411*g**2 + 208*g**2 + 147*g**2 + 141*g**2. Calculate n(j(k)).
85*k**2 + 2210*k + 14365
Let g(v) = 19*v. Let t be ((-104)/(-60))/(624/480). Let o(l) be the first derivative of 0*l**2 - t*l**3 + 2 + 0*l. What is g(o(u))?
-76*u**2
Let g(q) = q**2 - 48. Let j(x) be the third derivative of -37*x**4/24 - 1898*x**2. Determine j(g(r)).
-37*r**2 + 1776
Let g(q) = -147 + 50 + 47 - q + 50. Let s(m) = 305*m**2 - 15*m. Let n(y) = -152*y**2 + 7*y. Let p(d) = 13*n(d) + 6*s(d). What is g(p(b))?
146*b**2 - b
Let g(v) = 3*v. Let b(p) be the third derivative of -p**6/90 + p**5/60 + 35*p**3/6 + 6*p**2 + 3*p. Let d(k) be the first derivative of b(k). Calculate d(g(s)).
-36*s**2 + 6*s
Let v(z) = 50587*z. Let d(b) = -5*b + 11. Give d(v(g)).
-252935*g + 11
Let k(h) = 0 - 278520*h**2 - 2*h + 0 + 0*h + 278521*h**2. Let x(g) = 8*g - 2. Determine k(x(m)).
64*m**2 - 48*m + 8
Let w(y) = -90*y. Let s(i) = -17*i. Let h(m) = 16*s(m) - 3*w(m). Let c(o) be the first derivative of 41*o**3/3 - 50. What is c(h(d))?
164*d**2
Let l(p) = -2*p. Let b(r) = -198*r. Let z(f) = f. Let i = -17 - -37. Suppose 3*x - i = -x + 4*a, 4*a = -16. Let q(g) = x*b(g) + 165*z(g). Calculate l(q(m)).
66*m
Let k(j) be the second derivative of 3*j + 1/6*j**4 + 0*j**2 + 0 + 0*j**3. Let z(n) = -22*n. Let t(d) = 7*d. Let b(v) = -11*t(v) - 4*z(v). Give k(b(p)).
242*p**2
Let q(u) = 10*u**2. Let o(g) = -251*g**2 + 18*g + 3. Let c(y) = -141310*y**2 + 10140*y + 1690. Let r(l) = 3*c(l) - 1690*o(l). Determine r(q(w)).
26000*w**4
Let v(w) be the second derivative of -w + 0*w**2 - 7/6*w**3 + 3. Let p(l) = -33*l**2. Determine v(p(n)).
231*n**2
Let h(z) = -7513458*z**2 + 6. Let o(l) = 2*l**2. Give h(o(p)).
-30053832*p**4 + 6
Suppose 3*d - 34 - 8 = 4*p, 0 = -2*p. Let y(f) = 33*f - 7*f - 14*f - d*f. Let w(n) = 89*n**2. Give w(y(a)).
356*a**2
Let g(m) = 50*m + 17*m**2 - 35*m**2 + 16*m**2. Let v(d) = -2*d - 24. Let f(k) = 6*k + 64. Let l(x) = -3*f(x) - 8*v(x). Determine g(l(n)).
-8*n**2 - 100*n
Suppose 4*n - 5*k - 46 = 0, -4*n + 2*k + 10 = -30. Let p(r) = -n*r - 2*r - 9 - 3*r + 9. Let o(f) = -11*f. Determine p(o(m)).
154*m
Let x(l) = -3115481 + 25*l + 3115481 - 246*l. Let d(y) = -4*y. Calculate x(d(r)).
884*r
Let j(q) = 0*q - 2*q + 4*q - q. Let b(n) = -n**2 - 18*n - 14. Let f be b(-17). Let o(k) = -15*k**2 + f*k**2 - 10*k**2 + 2*k**2. Calculate o(j(t)).
-20*t**2
Let b(a) = 1104105*a. Let i(o) = -556*o**2. Calculate b(i(h)).
-613882380*h**2
Let q(d) be the first derivative of d**3/3 + 39. Let h(p) be the third derivative of 0 + 0*p**3 + 0*p + 5/24*p**4 + 8*p**2. Give q(h(x)).
25*x**2
Let i(g) = 4*g + 4*g + 5*g - 20*g + 11*g. Let w(j) = 325*j. Calculate w(i(q)).
1300*q
Let q(x) = -485662*x - 1. Let t(b) = -63*b. Give q(t(y)).
30596706*y - 1
Let i(h) = -h + 35. Let y(p) = -2*p**2 - p + 4839. Give i(y(t)).
2*t**2 + t - 4804
Let n(k) = 128*k**2 + 5983. Let l(g) = 36*g. Calculate l(n(t)).
4608*t**2 + 215388
Let t(s) = -61718 - 2*s + 61718. Let v(a) = -5643*a. What is t(v(d))?
11286*d
Let j(b) = -4*b + 5. Let u(h) = -25*h + 30. Let w(i) = 6*j(i) - u(i). Let z(v) = -76*v**2 - 3*v - 1. Give w(z(k)).
-76*k**2 - 3*k - 1
Let g = -533 - -544. Let t(x) = -g*x**2 + 14*x**2 + 2*x**2. Let a(k) = -9*k + 3. Determine a(t(l)).
-45*l**2 + 3
Let g(h) = -2*h - 24. Let n(w) = 936525*w. Calculate g(n(p)).
-1873050*p - 24
Let t(o) = 93*o**2 - 3*o + 2. Let b(m) = -m - 53493. Determine b(t(u)).
-93*u**2 + 3*u - 53495
Let l(n) be the third derivative of n**5/30 + 2*n**2 - 437*n + 4. Let q(x) = 7842*x - 2. What is l(q(p))?
122993928*p**2 - 62736*p + 8
Let c(f) = 9*f**2 + 6*f + 2. Let m(s) = 13*s**2 + 9*s + 3. Let l(y) = -6*c(y) + 4*m(y). Let p(z) = 987*z**2 - z. Determine p(l(u)).
3948*u**4 + 2*u**2
Let q(l) = -3*l. Let b(c) = -626427*c + 4. Calculate b(q(j)).
1879281*j + 4
Let p(h) = 103290965*h**2. Let s(d) = d. What is p(s(y))?
103290965*y**2
Let t(y) = -117*y + 117*y + 201*y**2 + 204*y**2 - 414*y**2. Let s(m) = -7*m**2 - 4. Let k(a) = -14*a**2 - 9. Let i(q) = 4*k(q) - 9*s(q). What is i(t(z))?
567*z**4
Let y(o) = -28331059*o. Let n(c) = -5*c**2. Give n(y(u)).
-4013244520307405*u**2
Let o(h) = -30*h - 46. Let v be o(-2). Let t(u) = 9*u - 1 + v - 13. Let y(n) = -22*n. Determine t(y(s)).
-198*s
Let b(d) = 3*d**2 + 22*d + 16*d - 5*d. Let j(m) be the second derivative of -m**3/2 - 204929*m. Give b(j(p)).
27*p**2 - 99*p
Let w(g) = 32*g. Suppose 112*h - 163 - 733 = 0. Let s(l) be the third derivative of 0*l - 1/12*l**4 - h*l**2 + 0 + 0*l**3. What is w(s(m))?
-64*m
Let c(n) = 117164775*n. Let k(s) = -2*s**2. Calculate c(k(f)).
-234329550*f**2
Let a(k) = 8*k - 3*k - 5*k - 4*k + 2*k. Let c(f) = -43*f - 11. Determine a(c(d)).
86*d + 22
Let f(m) = 379*m. Let k(c) be the second derivative of c**4/12 - 1354*c. Calculate k(f(y)).
143641*y**2
Let j(d) = 2*d - 2360. Let y(c) = -c - 441. Calculate j(y(x)).
-2*x - 3242
Let v(k) = -k**2. Let p be (16/280*5)/(51/833). Let y(j) be the second derivative of -29*j - p*j**3 + j**2 + 0. Calculate y(v(x)).
28*x**2 + 2
Let w(q) = -3*q + 60. Let r(k) = -2*k + 36. Let u(i) = 5*r(i) - 3*w(i). Let t(z) = 1345*z. What is u(t(n))?
-1345*n
Let o(c) = 2*c**2. Let i(k) = 634*k - 417*k**2 + 3 - 3 - 634*k. Give i(o(l)).
-1668*l**4
Let i(j) = -53 + 11*j**2 + 81 - 28. Suppose -4 = y - 3*y. Let m(v) = 0 - 112*v**2 + 116*v**y + 0. Calculate i(m(w)).
176*w**4
Let h(t) = -70149*t + 96. Let i(c) = -c. Calculate h(i(r)).
70149*r + 96
Let y(b) = -22*b**2 - 1. Let j be (6 - (-30)/(-4))/(1/(-2)). Let r(p) = -3 - p**2 + j - 2*p**2. Calculate r(y(v)).
-1452*v**4 - 132*v**2 - 3
Let i(a) = -4*a**2 - 1559360*a. Let g(h) = h. Determine i(g(o)).
-4*o**2 - 1559360*o
Let z(a) = 6*a**2. Let d(r) be the first derivative of -7*r**4/12 - r**2 - 27*r - 102. Let i(l) be the second derivative of d(l). What is i(z(c))?
-84*c**2
Let p(o) = 29*o**2 - 6*o**2 - 13*o**2 + 25*o**2. Let q(l) = 123 - l - 188 + 65. Calculate q(p(t)).
-35*t**2
Let p(a) be the third derivative of -a**5/60 + 4*a**3/3 + 5985*a**2. Let r(z) = 163*z. Give p(r(l)).
-26569*l | {
"pile_set_name": "DM Mathematics"
} |
9)?
52
What is the value of 6 + (12 - 26) + 37 - 4 - -14?
39
Evaluate (37 - (44 - 21) - (-2 - -2)) + (-2 - 0).
12
What is the value of 10 - 16 - 3 - (5 - (12 - 2)) - -60?
56
Evaluate 11 + -6 + (3 + 11 - 18) + -3.
-2
-324 + 309 + 1 + 30 + -3 + 0 + 103
116
Calculate (86 + -8 - -8) + -11 - 7 - (-10 - -16).
62
What is (45 - (99 - 33)) + (0 - -2 - -9)?
-10
What is the value of -43 + 66 + -14 + (1 - (-4 + 0)) + -3?
11
What is (22 - -1 - (-21 + 23)) + 8?
29
(-2 - 0) + (-74 - (14 + 0 + -37))
-53
What is 0 - (-4 - 15 - ((-146 - -10) + -2))?
-119
What is the value of (5 - 13 - -3) + -9 - 2?
-16
(0 - (-1 + 2)) + 11 + (102 - (514 - 393))
-9
Evaluate -129 + 1 + 10 + 158.
40
12 - (-2 + 7 + -2) - ((-48 - -149) + -39)
-53
Calculate (17 - (48 - -7)) + 25.
-13
Evaluate (-39 - -63) + -191 - (-54 + 8).
-121
What is (22 - 1) + -43 + 68 + -35 + -38?
-27
What is the value of 1 + -12 + (-1272 - -1277 - (0 + 1 - 77))?
70
Calculate (31 - -18) + -45 + 32.
36
Calculate -16 + 23 + 10 - (-8 - 1).
26
What is the value of (-47 - -11) + 6 + 3 + -1?
-28
Calculate 85 + 38 + -45 + -18.
60
What is (-2 - -101) + -2463 + 2392?
28
(82 - (-19 + 58) - 18) + -55
-30
What is 4 - 27 - -26 - 45 - 0?
-42
Calculate (-57 - -91) + 15 + -14.
35
Calculate -5 + (-36 - -25) + 15 + -2 + -38 + -10.
-51
6 - (-16 + 18 + 41)
-37
What is the value of 87 - (-37 + 97) - ((0 - -1) + 6)?
20
Evaluate (72 - ((-34 - -57) + 7)) + -12.
30
Evaluate -6 - (19 - (-32 - (-18 + 2) - -170)).
129
What is -16 - 0 - (-5 + -11) - 21?
-21
Evaluate -28 - -97 - (-4 - -35).
38
Calculate -10 - (7 + -18 + 12 - (1 - (3 - 7))).
-6
What is (3497 - 3490) + -4 + -68?
-65
What is 18 + 13 + 10 + -50?
-9
What is the value of 77 + (-4 - -3) - (23 - (52 - 25))?
80
What is 35 + 16 + -14 + 8 + -17 + 6?
34
What is -1 - 22 - ((-95 - 17) + 32)?
57
Calculate -29 - (121 - 51) - -104.
5
What is 313 - 348 - (-1 - 11)?
-23
Calculate 7 + 0 + -12 + -29 + (9 - -18).
-7
What is 109 + 41 - 94 - 24?
32
What is the value of -42 + 104 - 80 - (26 + 0)?
-44
What is -74 + 70 + (-53 - (-3 - (1 + 0)))?
-53
What is 15 - 2 - (-3 - (1 + -9 - (51 - 56)))?
13
Evaluate -96 + 41 - -3 - 11.
-63
Calculate 8 - 90 - (12 - 83).
-11
What is 11 + -83 + 22 + (17 - -2)?
-31
4 + -7 + 9 + (-42 - -35) - 2
-3
Evaluate 0 + (4 - (-27 + 39)) + 7 + (0 - -67).
66
Evaluate (3 - -1) + (11 + -40 - -11 - -11) - 0.
-3
Evaluate (-36 + 29 - -178) + -127.
44
What is 33 + (-13 + 8 - -4 - (-6 + 1))?
37
-8 + -3 + (-3 - 11 - -9) + 99
83
What is 47 - (-6 + -1 + 6 + (2 - -5) + -2)?
43
What is the value of -7 - -36 - (261 + -217)?
-15
9 - (1 - -3) - (861 - 799)
-57
Evaluate -5 - (3428 + -3437 + (-2 - (-2 - 0) - -3)).
1
What is (3 - 5 - (2 + (-32 - -21)) - 23) + -5?
-21
Calculate (-2 - (-17 + 30 + -5)) + 41 - -7.
38
Calculate -145 + 296 + -107 + (-163 - -2).
-117
Calculate 4 + -3 + (0 - -6) - (-104 - -87).
24
-17 + (91 - 64) + -84
-74
What is (-8 - -1 - 0 - (4 + 21)) + (2 - 0)?
-30
What is the value of -9 + 1 + (-10 + 1 + 50 - 8)?
25
Evaluate 71 + -16 + (37 - -9 - 15).
86
Evaluate -8 - (14 + -19) - (2 + 8).
-13
Evaluate 2 + -39 + -5 + 5 - (-1 - -4).
-40
(29 - -1) + (-83 - -7 - -67)
21
Calculate 1 + (1 - (13 + -1)) - (-254 + (122 - -69)).
53
What is (18 - (-1 - -14)) + -52 + -1 + 6?
-42
75 + (-5 - 31) + -73 + -1 + -7
-42
Evaluate (-4 - (-4 - 33)) + -2 + 12.
43
What is the value of (1 - 3) + (31 - (-3 + -6 + 39))?
-1
Evaluate 80 + (91 - 58) - 60.
53
What is the value of (6 - -2) + (1673 - 1682) + (1 - -70)?
70
Calculate 45 + (58 - (35 - -42)).
26
Calculate -9 - 16 - (-48 - -4) - (118 + 3).
-102
What is the value of (-175 - (118 + -208)) + 71?
-14
-2 + 125 - -1 - (739 + -741) - -1
127
Calculate -1 + (7 - (10 + -6 + 7)) + -22.
-27
What is -5 - (-1 - -2) - ((296 - -87) + -314)?
-75
What is -18 + -6 + (-5 - ((-11 - -18) + -13))?
-23
Calculate 27 - (2 + (-15 - 0) + 15 + -18).
43
-11 + (4 - (-59 - -15) - 16)
21
Calculate (73 - 91) + -6 + -24.
-48
What is the value of -16 + (41 - (-5 + -25))?
55
-105 - ((-103 - -77) + -47)
-32
What is (6 - -11) + -53 + 30?
-6
What is 11 + (136 - 99) + 80?
128
(-2 + 77 - 41) + 2 + 55
91
What is (-48 - (0 - -6)) + 23 + (-47 - -13)?
-65
Evaluate -45 + (5 - -12) + 3 - -14.
-11
What is the value of -38 - (-164 + 14 + 101)?
11
Evaluate 28 + ((-70 - -48) + 31 - 17).
20
Evaluate 16 + 3 + 0 - (16 - -24).
-21
What is the value of -32 + -5 + -26 + 11 + 15?
-37
Calculate (-20 + 1 - (-105 - -123 - 34)) + -47 + 0.
-50
Evaluate 49 - ((19 - 62) + 80).
12
63 + -132 + (105 - 45)
-9
Evaluate (-2 - 5 - 3) + (-44 - -45).
-9
-4 - (-5 + (4 - -26) + -57)
28
What is (6 - -3 - 5 - 19) + 15 + 0 + 47?
47
Evaluate 1040 - 1052 - (-2 + 4 + -59) - 9.
36
What is the value of 13 + 1 + (-20 - -13) + (-6 - -5)?
6
What is the value of (-5713 - -5845) + -1 + -50?
81
What is (2 - 1) + 50 - (14 + -41 - -58 - 19)?
39
Evaluate 5 + -28 + -28 + (-1 - -11) + 15.
-26
What is the value of 44 + (-112 - -34 - 13)?
-47
What is 2 - (-162 - -110 - -2)?
52
-35 - (-41 + 93) - (-1 - 15) - 22
-93
Evaluate -2 - -7 - (-73 + 1) - (-196 + 211).
62
Calculate 1 - (-164 + 151 - (-30 - 1)).
-17
What is the value of 28 + 3 + (21 - (-15 + 21)) + -15?
31
Evaluate -6 + (23 - (3 - 15)).
29
What is the value of 5 + -2 + -4 + ((11 - 27) + 30 - 4)?
9
Calculate -721 + 742 + (-2 - 21) + 70.
68
What is the value of (1 - 2) + -58 - (-31 - (-28 + -1))?
-57
What is 370 + -374 + 4 + (6 - 10)?
-4
What is 41 + 20 + -51 - -22?
32
Evaluate -19 + 83 + -81 - 4.
-21
1 + 0 + 9 + (7 - 3) + -17
-3
What is the value of (27 - -1 - -6) + (-30 + 17 - -30)?
51
0 + -9 - -23 - (92 + -119)
41
What is 14 + -38 + 49 + -5 - 17?
3
Evaluate 7 + 4 + 18 + -48 + -20.
-39
What is the value of -68 - -37 - (51 - 22 - 22)?
-38
Calculate -45 - (-31 - (-29 - -9)).
-34
What is (-7 + 17 - 10 - -3) + 5 + -6 - 33?
-31
Evaluate -37 + 40 + -51 - -30.
-18
Calculate -4 + (6 - 12 - -6) + (3 - 9).
-10
Calculate 8 - (12 - ((-10 - -21 - 9) + 10 + 96)).
104
Calculate 1 - -41 - (-38 + -11 + (29 - -32)).
30
What is 42 + (3 - 172) + -982 + 967?
-142
What is the value of 84 + (21 - 39 - -17) + (1 - 6) + 2?
80
What is 63 + 60 + -101 + 20?
42
(7 - (9 + -7 + 0)) + -7 + -31
-33
97 - 68 - (15 - -2 - 0)
12
What is the value of -86 + 39 + (-126 - -190)?
17
Evaluate 40 - 33 - ((3 - -8) + -1) - (5 + 12).
-20
Calculate -87 - ((-74 - 51) + -77).
115
Evaluate 21 + (1 - 1) + 8 + 32 + 32 + -77.
16
What is the value of (-9 - -21) + (39 - (5 + 7))?
39
What is -5 - (11 + -34 + -17) - (-2 + 14)?
23
(37 + 9 - (22 + -2)) + 19
45
Calculate (1294 - 1392) + (61 - -6).
-31
What is (-86 - -91) + (2 - -31) + (2 - (-2 - -5))?
37
What is the value of -2 - -1 - (-265 - -262) - 19?
-17
Evaluate 6 - (-64 + 44 + 64).
-38
Calculate -53 + -16 + -9 + 6 - -14.
-58
1 + (2 - 0) + (26 - 35) - 40 - -2
-44
-15 + (-8 - ((5 - 7) + -23)) - -47
49
Evaluate (-38 - (64 - 161)) + -17.
42
-2 + (19 - 21) + 6 - -15
17
Calculate (-4 - -1 - -12) + (22 - 22 - -16) + 11.
36
Calculate -67 - ((114 - 36) + -131).
-14
What is the value of 10 - (-9 - (-24 - -3)) - -3?
1
What is the value of (159 - 78) + -23 + (-1 - 2)?
55
Calculate -16 + (-165 - -161 - (-11 - 1)).
-8
Evaluate -34 + (7 - (-4 - 17)) + (0 - 23).
-29
What is (85 - (19 + 68)) + (13 - 1) - (0 - 46)?
56
Calculate (58 - (13 + -5 - (24 - (-4 + 9)))) + -2.
67
Evaluate 3 + (-38 - (-15 + (-1 - -6) - 0)) + 6.
-19
Calculate (-7 - (-11 - (4 - 9)) - -13) + (-149 - -272).
135
What is -430 - -432 - (-4 + -2 + 1) - (-4 - 17)?
28
What is (3 - 28) + 324 + -312?
-13
What is the value of 1 - (1 - -6) - (-5547 - -5476)?
65
Evaluate (30 - 40) + 14 - (-58 - -3 - (-5 + 0)).
54
What is the value of (-4 - -15) + (-3 + -8 - -21 - 38)?
-17
Calculate 31 + ((2 - 16) + 31 - 3) + -3.
42
What is the value of (1 - 42) + (-433 - -491)?
17
What is (-29 - -3) + -141 + 145 + 45?
23
Calculate -10 - (-1 + -1 - -2) - (-61 - (79 + -112)).
18
Evaluate (0 - -47) + (50 + -48 + 16 - 36).
29
(61 - (92 - -18) - 12) + -3 + (2 - 4)
-66
What is the value of 1 + 0 - -17 - (4 + (-22 - -4) + 13)?
19
Evaluate -1 + -9 + ((-53 - -4) + -2 - (-1222 + 1205)).
-44
71 + (83 - 91) + -58
5
Evaluate -9 - 1 - (44 + -44) - (-22 + 4 + 5).
3
-30 + 4 + -19 + 26 + 15
-4
(12 - -1) + (22 - (-32 + (-16 - -79))) + 46
50
What is the value of (3 - -46) + 102 + -90?
61
Evaluate -42 - (-15 - -13) - (-12 + (13 - 11)).
-30
27 - (-48 - (-33 + -73))
-31
Calculate (12 - 12 | {
"pile_set_name": "DM Mathematics"
} |
4, -5/2, 3/8, 7.9?
7.9
What is the second biggest value in 0.047, 4, 1679?
4
Which is the third biggest value? (a) -2/129 (b) -1 (c) 0.2 (d) -5
b
What is the fourth smallest value in -5/3, 19, 13716, -5?
13716
Which is the third smallest value? (a) 6/7 (b) 2/129 (c) 1/5
a
What is the smallest value in -109, -227, 1?
-227
What is the smallest value in -49.45, -5, -1?
-49.45
What is the second biggest value in 16/7, 0.4, 3/50?
0.4
What is the second biggest value in 1, -2, -18.389?
-2
Which is the fourth smallest value? (a) 447237 (b) 5 (c) 2/7 (d) 1/5
a
Which is the fourth smallest value? (a) 8 (b) 5 (c) 2/67 (d) -0.11 (e) -3/7 (f) -2
c
Which is the third smallest value? (a) -2539.3 (b) 4 (c) 0.1
b
Which is the fifth smallest value? (a) 6.06 (b) 2/3 (c) 1 (d) 0.95 (e) -1/2
a
Which is the second smallest value? (a) -2/7 (b) 22 (c) -1 (d) -40 (e) -4
e
What is the second smallest value in -0.06, -1/27370, 0?
-1/27370
Which is the third smallest value? (a) 0 (b) 2 (c) 14249/20
c
What is the sixth smallest value in -3/2, -0.06, 2, -0.5, 65/43, -3?
2
What is the second biggest value in -3/2, 0.06, -2/11, -353/4?
-2/11
What is the third smallest value in -5, -0.4, 101400?
101400
What is the smallest value in -49, 2, -1.2, -5, 3/5, 0.37?
-49
Which is the second smallest value? (a) 2659 (b) 9/5 (c) 4
c
What is the smallest value in -3/2, 10, -0.08, -5, 1.1, 0.3?
-5
What is the fifth smallest value in 0.7, 0.054, 1, -2, -3, 4?
1
What is the fifth biggest value in -11, -0.05, 0.1, -0.3, 6, -7/3?
-7/3
Which is the fourth smallest value? (a) 5 (b) -1/4 (c) 1/16 (d) -0.5 (e) 573
a
Which is the biggest value? (a) -243 (b) 3 (c) 0.81
b
What is the third smallest value in 2, -16, -11, 8/17?
8/17
Which is the fifth smallest value? (a) 0.05 (b) -4 (c) 0.4 (d) -5 (e) -2 (f) -23/5
a
Which is the second smallest value? (a) 448 (b) -3 (c) -0.3
c
What is the third biggest value in 0.2, -10, -1, 1.00693?
-1
What is the second smallest value in -10/21, 1, 0.1, 0.5?
0.1
Which is the fifth smallest value? (a) 8 (b) 0.1 (c) -5 (d) 34 (e) 0.3
d
What is the second biggest value in -5/1072, -4, 0.02?
-5/1072
Which is the third biggest value? (a) -1036.8 (b) -2/127 (c) 2/7
a
What is the fourth biggest value in -1, -3, -165, 5?
-165
Which is the fourth smallest value? (a) -4 (b) 215 (c) -3 (d) 100
b
Which is the fourth smallest value? (a) -5 (b) 5 (c) -3/7 (d) -5803 (e) -1/6 (f) -1
c
Which is the second smallest value? (a) 1493 (b) 1/6 (c) 114.1
c
What is the fourth biggest value in 0.4, 7, 2/9, 54, 0.5, 39.8?
0.5
Which is the second smallest value? (a) -0.051 (b) 0.14 (c) -0.21
a
What is the third smallest value in 0, 8, 3, -47, 0.3?
0.3
Which is the smallest value? (a) -0.32 (b) -1/4 (c) -69
c
Which is the fourth biggest value? (a) -0.23 (b) 0.03 (c) -64/7 (d) -0.2
c
Which is the biggest value? (a) -3/4 (b) -4 (c) -12 (d) -2/9 (e) 0
e
Which is the third biggest value? (a) 0.2 (b) 0.45 (c) 1 (d) 0.4 (e) 0
d
Which is the smallest value? (a) -0.5 (b) 1/2 (c) -2/7 (d) 2/3 (e) -965
e
Which is the third smallest value? (a) 1.5 (b) 102 (c) 7
b
What is the third biggest value in -0.3, -2.717, 0.5, 3?
-0.3
Which is the fifth biggest value? (a) -1 (b) -0.1 (c) 17 (d) -1/4 (e) -0.01396
a
What is the second biggest value in -5, -1/9, -1/4, 466/5?
-1/9
What is the second biggest value in 9415, -28, -3?
-3
What is the biggest value in 0.4, 42, -50/13, 1, 3?
42
Which is the second smallest value? (a) 0.03 (b) 15.4 (c) 1/7
c
What is the biggest value in 3, 0.3, -595?
3
What is the third biggest value in -0.4, 5/63, -2, -1/3, 0.5?
-1/3
Which is the second biggest value? (a) 4 (b) 0.2 (c) -1/229 (d) 0.7
d
Which is the smallest value? (a) 2/13 (b) -0.5 (c) 17/5 (d) 90
b
What is the third biggest value in 25, 0.5, -2/25, 0.1, 2?
0.5
What is the second smallest value in -0.567, -12, 4/7, -3?
-3
What is the third biggest value in 2/7, -5, 1/943, 38/9, 1?
2/7
What is the fifth smallest value in 2/9, -0.4, 0.5, 18, -4?
18
Which is the third smallest value? (a) -3 (b) 0.02 (c) 3/2
c
What is the second biggest value in -132, -2/7, -194?
-132
What is the fourth biggest value in -0.4, 0.01, 0.08, 0.5, -39?
-0.4
What is the fourth biggest value in -1, -409, 2, -0.035, -3/2?
-3/2
Which is the biggest value? (a) 1/9 (b) 1 (c) 2/15 (d) -3/5 (e) 2/13
b
What is the third biggest value in 2, -0.0993, -4/3?
-4/3
What is the fifth smallest value in -4, -9, -2, 8480, -3?
8480
Which is the third biggest value? (a) -5 (b) -319 (c) 7 (d) 4
a
Which is the biggest value? (a) 3 (b) -1/10 (c) 0.7 (d) 50
d
What is the third biggest value in 1.8, -4, -1, -1/11, -5?
-1
Which is the fifth biggest value? (a) -0.1 (b) 1479 (c) 0.09 (d) 3 (e) 0.2
a
Which is the smallest value? (a) 0.4 (b) -1444.5 (c) -1
b
Which is the second smallest value? (a) 0 (b) 10688 (c) 7
c
Which is the smallest value? (a) -2 (b) -528/13 (c) -1/14
b
What is the third biggest value in 3/5, 3.6, -0.0261?
-0.0261
Which is the smallest value? (a) -2/7 (b) -2/23 (c) 5 (d) 0 (e) 369 (f) -2/9
a
What is the second smallest value in -38/13, 0.08, -11, 1, -10/3?
-10/3
What is the third smallest value in 5/2, -2/3, -0.14, 1/6, -0.04?
-0.04
Which is the smallest value? (a) -3/4 (b) 2/51 (c) 5 (d) -1 (e) -0.39 (f) 4
d
Which is the smallest value? (a) 13 (b) 0.02 (c) 117
b
Which is the third smallest value? (a) 1 (b) 3 (c) -2/19 (d) -2 (e) -26
c
What is the fourth biggest value in 0.07, 5, 0.4, 18/5, 2/27, -2/3?
2/27
What is the second smallest value in 3, -5, -8/9, 1, 18?
-8/9
What is the second smallest value in 23/6, -5/69, 1/5?
1/5
Which is the third smallest value? (a) 0.5 (b) -1 (c) -38.5 (d) -4/35
d
Which is the third smallest value? (a) -5 (b) 13847 (c) 0.4
b
Which is the third biggest value? (a) 1 (b) 26 (c) -47/4 (d) -95
c
What is the second smallest value in 0.02812, -1/5, 63?
0.02812
What is the second smallest value in -5, 219, 2, 37?
2
What is the smallest value in -16, -7, -3, -129/14, 0.06?
-16
Which is the second biggest value? (a) 12 (b) -18 (c) -5 (d) 45 (e) 9
a
What is the second smallest value in 1, 2, 1/4, -96?
1/4
What is the biggest value in -2/5, 3, 1/2, -28492, -2/11?
3
Which is the biggest value? (a) 1 (b) -5299 (c) 8
c
What is the smallest value in 4, -0.19, -2/3, -0.2, 21, 1/6?
-2/3
What is the second smallest value in -1.6, 9/13204, 4?
9/13204
Which is the second biggest value? (a) 3 (b) 4 (c) 2/9 (d) 8/43 (e) -4.7
a
Which is the biggest value? (a) 5 (b) 90 (c) -1/3 (d) 140 (e) 1/2
d
Which is the biggest value? (a) 3 (b) 568.2 (c) -0.12
b
What is the fifth smallest value in -0.2, -80, 0.1, 4, -1/22?
4
What is the fourth smallest value in 2, -4/13, 2/101, 0.09?
2
Which is the third smallest value? (a) -5 (b) -18 (c) -32682
a
What is the second biggest value in 3, 2/23885, 2/79?
2/79
Which is the third biggest value? (a) -4 (b) -1/3 (c) 3/2 (d) -3 (e) 13/2
b
Which is the fourth smallest value? (a) 4 (b) 23 (c) 1/64 (d) -2/23 (e) -0.02 (f) -3
c
What is the fourth biggest value in -1/5, 0.05, 0, 3/5, -1/11?
-1/11
What is the biggest value in -6, -1.4, -3.33?
-1.4
Which is the second biggest value? (a) -5 (b) 63 (c) 6 (d) 4/7
c
Which is the fifth biggest value? (a) -0.1 (b) -4 (c) 3/8 (d) -4253 (e) -1
d
Which is the smallest value? (a) -2 (b) 0.09 (c) -39856
c
Which is the fourth smallest value? (a) 11 (b) -2 (c) 1/4 (d) 2
a
What is the second biggest value in -2, -623, -2/3?
-2
What is the fourth smallest value in 4/9, 1965, 1, -16/11?
1965
What is the third smallest value in 1.03, -4, 16/5, -1, -2?
-1
What is the fourth biggest value in -5/4, -211, 8.2, -3/8, -0.4?
-5/4
What is the smallest value in 38.9, 2, -2, -1/8, 9/4?
-2
What is the third smallest value in -4, -3, 0, -5.25?
-3
Which is the third biggest value? (a) -17 (b) 3/5 (c) 3 (d) 2/5 (e) -3/4 (f) 16
b
Which is the second smallest value? (a) -0.114 (b) -5 (c) 1 (d) 1/8 (e) 5 (f) -20
b
What is the third biggest value in 0.017, -3, 1.56?
-3
Which is the smallest value? (a) 1/5 (b) 2/7 (c) 5 (d) -292
d
Which is the second smallest value? | {
"pile_set_name": "DM Mathematics"
} |
*2 - t. Let g be r(1). Let z = -232 + 249. Which is the smallest value? (a) z (b) -3/8 (c) g (d) -3
d
Suppose 0 = 206*f - 211*f - 15. What is the biggest value in f, -1/2, 3/7?
3/7
Suppose -r = -4*k, -5*r = -2*r + 5*k - 17. Let n = 8.714 + -5.714. Which is the biggest value? (a) -2/5 (b) n (c) r
c
Let p = 2761/19425 - -2/2775. Let t = 10 - 3. What is the third smallest value in t, p, -5?
t
Let g = -52048/75 + 694. Let q = g + -47/75. What is the smallest value in 2, 4, q?
q
Let i = -484 + 7262/15. Let q = -0.8 + 0. Let u = q + 0.5. Which is the second smallest value? (a) i (b) u (c) -5
b
Suppose -4*z - 3 - 9 = 0, -3*z - 53 = -4*x. Suppose -3*r + x = 8. Suppose -2*n + n = 4. Which is the second smallest value? (a) r (b) n (c) -6
b
Let f = 751/7 - 107. Suppose 0 = -3*m + 8 + 7. Suppose l = -4*r - 4 - 1, m*r = l - 13. Which is the third biggest value? (a) l (b) -3 (c) f
b
Let k = -3 - -2. Let n(t) = -t**3 - 5*t**2 + 6*t - 14. Let o be n(-6). Let y = -350 + 350.2. Which is the second biggest value? (a) y (b) o (c) k
c
Let o = -256 + 255. Which is the second biggest value? (a) -5 (b) -4 (c) o (d) 2/3
c
Let d = -150 + 149.5. Which is the third smallest value? (a) -3 (b) d (c) 11
c
Let r be -5*(5/(-20) + (-56)/(-96)). Which is the biggest value? (a) -2/23 (b) r (c) -0.2
a
Let l = -0.141 - -91.141. Let m = l - 77. Let n = 1699/9 - 189. Which is the third smallest value? (a) -1/4 (b) m (c) n
b
Let j = 535 + -3747/7. What is the biggest value in 3/5, 4, j?
4
Let y = 3.905 - -0.035. Let v = -0.06 - y. Let t = v - -4.4. Which is the third smallest value? (a) -3/4 (b) -5 (c) t
c
Let i = -679 + 679.1. What is the second smallest value in 1/5, i, -1, -5?
-1
Let u = 1.11 + -70.21. Let w = 69 + u. Let o = -3.3 + 3. Which is the smallest value? (a) o (b) w (c) 0.2
a
Let l = -3923/506 + 3/1012. Let r = l - -15/2. Suppose -4*j = p - 22, -3*p + 10 = 2*p. What is the second biggest value in 0, j, r?
0
Let w = -128739 - -127798.89. Let z = w - -936. Let j = 0.11 + z. What is the third biggest value in -5, 6, j?
-5
Let x be (-14581)/(-35) - (-3)/(-5). Let b be (-4)/(x/(-140) + 3). Let k = 698/5 + b. What is the second smallest value in 14, -3, k?
k
Let i = 4052/35 + -616/5. What is the third biggest value in i, 4, 5?
i
Let u = 207 - 203. Which is the second smallest value? (a) u (b) -47 (c) 0.6
c
Let h = 4.01 + -1.34. Let l = 2.7 - h. What is the second smallest value in l, -2/17, -5?
-2/17
Let k be (-520)/56 + 14/49. Let w = -17 + 26. Let c = w + -5. What is the biggest value in c, k, -2?
c
Let h(d) = -d**3 + 6*d**2 + 8*d - 11. Let v be h(7). Let s be (-6)/4 + v/(-2). Which is the third biggest value? (a) s (b) -1/6 (c) -0.1
b
Let f = -25 - -25.41. Let s = -17.41 + f. Let a = 17.5 + s. What is the second biggest value in 5, a, -1?
a
Let a = -70.2 + 65. Let d = a - -2.2. Let u = 0.3 + 0.2. What is the second smallest value in u, d, -1/7?
-1/7
Let q = 14 - 14.9. Suppose 2*i = -3*f - 33, 47 = -3*i - 0*i - 5*f. Let y be (2/(-3))/((i/(-9))/(-4)). Which is the second biggest value? (a) q (b) -2/3 (c) y
b
Let j = -0.07 + -0.3. What is the third biggest value in 1/4, 4, j, -5?
j
Suppose i + 1 = 5*n, 24*i - 21*i - 7 = 5*n. Which is the third biggest value? (a) -0.3 (b) n (c) 1.9
a
Let m = -1965254832 + 5595080914780/2847. Let f = m + -2/949. Let w = f - 7316/51. What is the smallest value in -5, w, -2/13?
-5
Let b = 0.883 + -0.683. What is the third smallest value in 2/5, 16, b?
16
Let z = -8.53 + 8.73. What is the second smallest value in 2/11, -1/4, z, -0.19?
-0.19
Let j = -557 + 1119/2. Let h be (-8)/3*(-2)/(-24). Which is the biggest value? (a) h (b) j (c) 0.1
b
Let f = -3.38 + 2.98. Let h = 3.9 - 4. What is the smallest value in f, h, -0.18?
f
Let r = 397 - 1589/4. What is the second smallest value in 0.9, -2/37, r?
-2/37
Let r = 9.64 + -8. Let n = r - 0.04. Let k = -1.8 + n. Which is the third smallest value? (a) -1/3 (b) 1/7 (c) k
b
Let y be -4 + 3 + 1/6. What is the smallest value in -5, y, -1/5, 3?
-5
Let k = 3.2741 + 1.7259. Let r be 4/10*(-2)/4. What is the second biggest value in k, r, 2/71?
2/71
Let w = -26 + 46. Let x = -20.1 + w. What is the third biggest value in 5, x, -0.6?
-0.6
Let h = 4087.531 - 4059.5. Let y = h + -0.031. Let k = y + -33. What is the second smallest value in 2, -0.5, k?
-0.5
Let s be (0 - 1)/(0 - -2). Let u = -2.75 + 3.94. Let r = u - 0.69. What is the third smallest value in s, 1, r?
1
Let h = 69.3 + -81.7. Which is the second smallest value? (a) -4 (b) -0.1 (c) h
a
Let i = -208 - -211. What is the biggest value in 0.5, i, -5?
i
Let k = -19.91 + 20. Let d = 3.04 + -0.04. Let f = -64 + 64.3. What is the third biggest value in k, d, f?
k
Let i be ((-39)/(-60) - 9/12)/(-7). Let z = i + 16/105. Which is the second smallest value? (a) z (b) 1 (c) 2
b
Let r = -24 - -18. Let u = 23 + -26. What is the second biggest value in -2/9, 2, u, r?
-2/9
Let q = 1059 - 1058. What is the second smallest value in -1, q, -251/2?
-1
Let k = 2658 + -2653. What is the second smallest value in 114, k, 0.5, -2?
0.5
Let r = 546 - 549. Which is the smallest value? (a) 0 (b) r (c) 39 (d) -0.3
b
Suppose -2*v = -1 - 17. Let l be (-1)/(-4)*(11 - v). Which is the third smallest value? (a) 19 (b) l (c) -1/2
a
Let z = -715 - -715.3. What is the third smallest value in -5, z, 0.7, -12/11?
z
Let d(v) = 2*v**3 - 3*v**3 + 11*v - 2*v - 10 + 2*v**2 + 4*v**2. Let x be ((-1)/(-2))/((6/28)/3). Let o be d(x). What is the second smallest value in -4, 0.3, o?
0.3
Let n = 20.19 - 19.19. Which is the second smallest value? (a) n (b) 5 (c) 0 (d) 46
a
Let x = -553 + 558. Which is the fourth smallest value? (a) -1/7 (b) 4 (c) -6 (d) x
d
Let g be (-46)/12 - (-2)/(-12). Let f(x) = -x**2 - 10*x + 8. Let n be f(-11). Which is the biggest value? (a) n (b) g (c) 5 (d) 4
c
Let w be 5/(-20)*(-8)/13. Let i be (-88)/48 + (-24)/(-18). Which is the second smallest value? (a) w (b) i (c) -10/11
b
Let k = 5/39 - -160/273. Let o be ((-77)/35)/((-8)/(-16)) - (-1 + -3). Which is the smallest value? (a) k (b) o (c) -0.5 (d) -0.2
c
Let c be 3 - (3 + 0 + -2). Let m be ((-4)/(-6))/(16/108*-6). What is the biggest value in m, c, 0.2?
c
Let z = -208 - -123. Let k = z - 45. Let q be k/(-110) + 0 + -1. Which is the second biggest value? (a) 1 (b) q (c) -4/3
b
Let d = 1.259 - 1.188. What is the third biggest value in -1/6, 5, d?
-1/6
Let o = 3.391 + -2.391. Which is the third smallest value? (a) -2 (b) -1110 (c) o
c
Let i(b) = b**3 - 3*b**2 - 5*b - 2. Let c be i(4). Let l = c + 4. Let k be (-10)/40*l*1. What is the second smallest value in -4, k, 3?
k
Suppose -5*p - 5*k = -110, 4*k - 42 = -2*p - 0*k. Let r = 25 - p. Which is the smallest value? (a) -4 (b) r (c) -8
c
Let q = 3.0718 - 0.0718. What is the second biggest value in -2/13, 2/5, 10, q?
q
Let b(j) = -11*j - 71. Let u be b(-6). Let k be (-230)/(-660) + (-4)/22. What is the third smallest value in k, u, -3, 0?
0
Let h be 15/(-20)*-4 - -1. Let s be (h/5)/((-5)/25). What is the second smallest value in 2, s, 1/5?
1/5
Let i = 7 - 6.94. Suppose d + 6 = 5*q, 0 = -d - 6*q + q + 34. Suppose 17*n - d*n - 3 = 0. Which is the third biggest value? (a) 1/4 (b) n (c) i
c
Let u = -43.8 - -43.5. Which is the second biggest value? (a) u (b) 2 (c) 57
b
Let k = -0.17 + -1.63. Let n = 0.2 + 1. Let g = k - n. Which is the second smallest value? (a) g (b) 5 (c) 2
c
Let g = 277/3 + -1388/15. Which is the biggest value? (a) -3 (b) g (c) 19
c
Let s = -1.08 - -0.9. Let v = -0.82 + s. Let f be (1/(-1))/(1/(-3)). What is the second biggest value in f, 0.5, v?
0.5
Suppose -2*v + v = 4*d + 53, -4*d + 2*v - 62 = 0. Which is the smallest value? (a) 4 (b) -4/7 (c) d
c
Let o = -808543/408 + 32228/17. Let n = 86 + o. Let y = 1/12 + n. Which is the third smallest value? (a) -0.4 (b) 0.1 (c) y
c
Let k = 104 - 201. Let x = -94 - k. What is the smallest value in -0.5, 2/3, -2/13, x?
-0.5
Let x be (-144)/(-216) + (-8)/(-33)*-2. Let n = -8 - -6. Let p = 418/13 + -32. Which is the second biggest value? (a) p (b) x (c) n
a
Let s = -2091 + 2091.5. Let c = -3 + 1. What is the second biggest value in c, 2/5, s?
2/5
Let y = -226 - -225. Let k = -12203/21 + 581. Which is the fourth b | {
"pile_set_name": "DM Mathematics"
} |
e in d, 0.3, -6?
d
Let h(r) = r - 4. Let u be h(5). What is the third biggest value in u, 0.01, -3?
-3
Let t be 22/30 - 6/15. Let s = 0 - -2. What is the second smallest value in 3/2, t, s?
3/2
Let w(t) = t**3 - 3*t**2 - 3*t - 3. Let h be w(4). Let i be 0 - h/(-3)*1. Let v = -25 + 23. Which is the third smallest value? (a) v (b) i (c) -0.4
b
Let o(u) = u**3 - 10*u**2 - u + 10. Let z be o(10). What is the third biggest value in z, 0.1, 2/13?
z
Let o = 2.44 + 0.16. Let r = 17 + -20. Let q = o + r. Which is the third biggest value? (a) q (b) 2/9 (c) 1
a
Suppose 4*m = 3*v - 22, 0 = -v - 2*m - 3*m - 18. Suppose -v*y = 2*c - 12, 2*c = 3*y + 4*c - 15. What is the third biggest value in -3/8, -5, y?
-5
Suppose q - 20 = -q. Let j = q + -5. Suppose 0 = -3*h - 1 - 2. What is the third smallest value in 4, h, j?
j
Let k = -6 + -2. Let g = 13 + k. What is the smallest value in 0.1, g, 4?
0.1
Let s be (0 + 1/(-9))/(-1). Let y be (-72)/105 + (-4)/(-14). Let p = 7 - 5. Which is the third smallest value? (a) y (b) s (c) p
c
Let i = -0.07 - 4.93. Let z = -97.7 + 93. Let v = -5 - z. Which is the second biggest value? (a) i (b) 5 (c) v
c
Let z = -0.04 + 2.04. Let p = -1.78 + -0.02. Let j = -2.2 - p. Which is the third biggest value? (a) 0 (b) j (c) z
b
Let j = 3.9 - -1.1. Let g = j + -7. Which is the second biggest value? (a) 0.5 (b) g (c) 0.1
c
Let y = 182 + -182.07. What is the fourth biggest value in 4, -5, y, 5?
-5
Suppose -w - 2*w = -9. Let q be (8 + 184/(-22))*1/(-2). Which is the second biggest value? (a) -2/7 (b) w (c) q
c
Let l = 0.222 + -2.912. Let f = l + 0.71. Let d = 0.02 - f. What is the third smallest value in -3, 1, d?
d
Let w(x) = 3*x - 3. Let f be w(-3). Let u be (-46)/(-60) + 8/f. Which is the third smallest value? (a) -4/9 (b) u (c) -2
b
Let p = -1.3 + 1.8. Which is the third smallest value? (a) -4 (b) -0.2 (c) p
c
Let f = 20.3 - 22. Let x = -3.3 + f. What is the third smallest value in -3, x, 7?
7
Let f = 51 - 48.1. Let u = f + -1.9. Which is the third biggest value? (a) -0.1 (b) 0.1 (c) u
a
Let w = 9 + -9. Let k = 4 - w. What is the second biggest value in -1, k, 0.1?
0.1
Let x = 0.06 + 0.84. Let g = -0.8 + x. Which is the smallest value? (a) g (b) 2/9 (c) -2
c
Let d(z) = -z**3 - 9*z**2 + z + 12. Let u be d(-9). Let v(y) = y + 1. Let h be v(0). What is the biggest value in u, -2, h?
u
Let p = -60 - -59.5. Which is the fourth smallest value? (a) -2/23 (b) -6 (c) p (d) 2
d
Let f = -1.5 + 1.63. Which is the smallest value? (a) -5 (b) f (c) 2
a
Let i = -17 + 19. What is the second biggest value in 14, i, 3?
3
Let a = 13/10 - 9/5. What is the third biggest value in -2/5, -1/3, a?
a
Let p be (-8)/(-36) + (-32)/36. Which is the smallest value? (a) p (b) -3 (c) -3/2
b
Let o = 190.92 - 194. Let f = -0.08 - o. Let u = 0.01 - 0.51. Which is the third biggest value? (a) -4 (b) u (c) f
a
Let p = -34.5 - -18.5. Which is the fourth smallest value? (a) p (b) 4 (c) 0.1 (d) 0
b
Let p = 72 + -75. Which is the second smallest value? (a) -1 (b) -1/6 (c) 2 (d) p
a
Let v = 24 - 24. Let m be (-2 - 0/1)/(-12). Which is the third smallest value? (a) m (b) v (c) 3/5
c
Let l be -2 - 2/7 - -2. Let y be (-28)/70 - 64/(-110). Which is the second biggest value? (a) l (b) 2/5 (c) y
c
Let d = -21 - -21.1. What is the smallest value in d, -4, -5?
-5
Let r = 0 - 0. Let i = -91 + 90. Which is the second biggest value? (a) r (b) -4 (c) i
c
Let d be ((-6)/(-12))/(7/(-2)). Let p = -1.05 + 1. Which is the third smallest value? (a) d (b) p (c) 3/7
c
Let v be (-3)/(-5)*(-4)/6. Let l = -0.7 - -1. Which is the biggest value? (a) v (b) l (c) -4
b
Let q be (3 - 2) + (-24)/20. Which is the biggest value? (a) 6 (b) -4 (c) q
a
Let b = 0.6 + -1. Let y = 351/7 + -50. What is the second smallest value in b, 2, y?
y
Let s = -3 + 3.1. Let l = 43.1 - 41. Let m = l - s. What is the smallest value in m, -0.4, 1?
-0.4
Let b = -0.5 - -0.1. Let k = 0.4 + b. Let v = 0.5 + k. What is the third biggest value in -1, v, 0.4?
-1
Let r be -59 - (-1 - (-3 - 0)). Let w be r/(-59) - 2/2. Let o = -73/413 + w. Which is the biggest value? (a) 3 (b) o (c) -4
a
Let w = -1.5 + 1.6. Which is the second biggest value? (a) 2/9 (b) w (c) 1
a
Let l be (-4)/(-14) + (-10)/84. Let u be (-2 + 32/10 - 2)*5. Let f = 7 + -2. What is the smallest value in l, u, f?
u
Let c = -157.03 - -157. What is the fourth biggest value in 0.2, 1/3, c, -2/11?
-2/11
Suppose -13*w + 16*w + 6 = 0. What is the third biggest value in 3, -4, w?
-4
Let u = -4.007 + 0.007. Which is the fourth biggest value? (a) 1 (b) -5 (c) 4/3 (d) u
b
Let s = -4 - -6. Which is the biggest value? (a) s (b) -8 (c) 1/2
a
Let x = 14 + -8. Suppose -3*z + 0 - x = 0. Which is the smallest value? (a) 4 (b) 1/6 (c) z
c
Let h be (-2)/7 - 37/(-7). Suppose -i + 5*q = -24, -3*i + 7 = 3*q - 5*q. Let f be h/15 + (0 - i). Which is the third smallest value? (a) f (b) 0.5 (c) 0.1
a
Let m = -20 + 19.8. What is the biggest value in 0.4, m, -1/6?
0.4
Let p be 1275/2475 + (-4)/22. Let n = -3 - -2. What is the second biggest value in n, 5, p?
p
Suppose 2*a + 3 = 3*a. Suppose -2*x - k + a = 8, -25 = -5*x + 5*k. What is the biggest value in x, 0.5, -0.4?
0.5
Let u = 23 - 22.89. Let i = u + -5.11. Let n = 0.24 + -0.04. Which is the biggest value? (a) n (b) i (c) -2
a
Let o = 0.1 - -0.9. Let f = 0.26 - -12.74. Let v = f - 8. What is the third biggest value in 4, o, v?
o
Let t be (-8)/(-12) - (-52)/(-42). Which is the third biggest value? (a) 4 (b) -1 (c) t
b
Let v = 112 - 111.8. Which is the fourth smallest value? (a) -0.5 (b) -0.3 (c) v (d) 6
d
Let k = 7 - 5.2. Let m = k + -2. Let i = -5.7 + 5.7. Which is the second smallest value? (a) i (b) -0.3 (c) m
c
Let j = -3.3 + 2.8. Which is the second smallest value? (a) j (b) -2 (c) -18
b
Let p = 13 - 7.5. Let y = p + -5. Which is the third smallest value? (a) 5 (b) 2 (c) y
a
Suppose -5*k = -0 + 5. Let f(l) = -21*l - 109. Let x be f(-5). Which is the smallest value? (a) k (b) x (c) 0.1
b
Let w = 0.6 - 0.5. Let c = 2.6 - w. Let i = c - -0.5. What is the third smallest value in 5, -1/3, i?
5
Let t = 2.1 - 2. Let d = 1.5 + -1.8. What is the biggest value in t, d, -0.5?
t
Let f = -1/32 - -81/544. Let o = 7 + -5. What is the second biggest value in o, 0, f?
f
Suppose -3*d + 3 = -2*d. Let x(u) = u + 5. Let f be x(-7). Let b = -2 - 2. What is the second smallest value in b, f, d?
f
Let r = -69 + 31. Which is the second smallest value? (a) -0.3 (b) 1 (c) r
a
Let y = -6 + 7. Which is the third biggest value? (a) 0.32 (b) y (c) 3/2
a
Let u = 63.5 - 63. What is the third smallest value in 4/7, -5, -1, u?
u
Let f be 1/(-4) + (-19)/4. Let g = 23.1 + -23. What is the second smallest value in 1, g, f?
g
Let c be ((-3)/(-2))/(3/(-18)). Let a = -12 - c. What is the smallest value in a, -1, -2?
a
Let h = 12 + -14. Which is the second smallest value? (a) h (b) -3 (c) -1/6 (d) -3/7
a
Let o(l) = -l + 6. Let r be o(4). Suppose -1 = -r*a - 13. What is the second biggest value in a, -3, 0.3?
-3
Let z(x) = -11*x - 6. Let c be z(-6). Let t = -1022/17 + c. Let j = -0.2 - -0.4. What is the second smallest value in j, -2, t?
t
Suppose 4*w - 75 = 5. Suppose -w + 2 = -3*u. What is the third smallest value in u, 3/4, 3?
u
Let j be -3 + 1*(-21)/(-9). Which is the third biggest value? (a) j (b) 2 (c) -2/17
a
Let w be 1*(-4 - (-120)/28). Which is the fourth smallest value? (a) w (b) -1 (c) 0.5 (d) -4
c
Suppose -10 + 24 = 7*y. What is the second smallest value in 0.2, 4, y, 1?
1
Let o = 12 - 10. Let m = -8.06 - -8. Let n = -3.94 + m. Which is the third biggest value? (a) 0.1 (b) o (c) n
c
Let o = 0.8 + 0.2. Which is the biggest value? (a) -4 (b) -1/5 (c) -0.06 (d) o
d
Let s = -22 + 21.5. What is the smallest value in 0.1, 5, s, 1?
s
Let u = 48 + -44. Which is the biggest value? (a) -2 (b) 0.3 (c) u
c
Let z be (-14)/(-35) - 64/10. Let w(a) = -a**2 - 6*a + 5. Let y be w(z). What is the third biggest value in y, -0.4, -1/4?
-0.4
Let x = -0.02 + 3.02. Suppose -12 = -4*m, -l + 8 = -0*m + 2*m. Which is the second smallest value? (a) l (b) -0.3 (c) x
a
Let n = -25.5 + 25. Which is the biggest value? (a) -5 (b) n (c) 0
c
Let j = -0.1 + 0.3. Let | {
"pile_set_name": "DM Mathematics"
} |
- 13. Let a be -1*(v/4 + 1). Suppose -3*g = -3*f - a, 5 = 3*g - 4. Calculate c(f).
2
Let j(f) = f - 7. Let y(c) = 2*c - 15. Let p(q) = 11*j(q) - 6*y(q). Give p(0).
13
Let q(v) = 2*v + 4. Let d be q(-3). Let z(t) = 5*t**3 + 6*t**2 + 6*t + 3. Let y(c) = -7*c**3 - 7*c**2 - 7*c - 3. Let s(u) = 2*y(u) + 3*z(u). Determine s(d).
3
Let m = -14 - -16. Suppose m*w = -w + 15. Let j(n) = -w + 4*n - 1 + 3*n + 5. Calculate j(-1).
-8
Let x(p) be the second derivative of -p**3/3 - 13*p**2/2 + 46*p - 3. Give x(-10).
7
Let d(o) = o**3 - 45*o**2 + 38*o + 265. Let k be d(44). Let n(a) = 6*a**3 + 3*a**2 + a - 3. Give n(k).
7
Let p(v) = 5*v**2 - v - 10. Let k(j) = -4*j**2 - j + 9. Let w(q) = -6*k(q) - 5*p(q). Calculate w(9).
14
Let c(i) be the first derivative of i**3/3 - 3*i**2 - 3*i + 136. Determine c(3).
-12
Let l = -14 - -19. Suppose 2*j + 12 = 5*w + 1, -w - l = -4*j. Let p(q) be the third derivative of q**5/60 - q**4/8 - q**3/6 - 5*q**2. Determine p(j).
-3
Let u(l) = 5*l + 4. Let i(p) = p**3 + 4*p**2 - 6*p + 4. Let w be i(-5). Let h(y) = -20 + w + 6 - 5*y. Let x(m) = 3*h(m) + 4*u(m). Determine x(-1).
-4
Let y(w) = -2*w**2 - 8*w - 12. Let n(z) = -5*z**2 - 17*z - 25. Let o(j) = -3*n(j) + 7*y(j). What is o(7)?
5
Let b(c) = -2*c**3 - 15*c**2 - 15*c + 5. Let m(k) = k**3 + 8*k**2 + 8*k - 3. Let l(o) = 4*b(o) + 7*m(o). Suppose -2*r - 10*r - 36 = 0. Give l(r).
2
Let a(w) = -w + 5. Let n be a(2). Suppose 5*l = s - n*s - 5, 0 = l - 2*s + 1. Let u(c) = 3*c**3 - c**2 + 1. Determine u(l).
-3
Let v(o) be the third derivative of o**6/120 + 7*o**5/60 + o**4/12 + 7*o**3/2 - 43*o**2 + 2. Give v(-7).
7
Let v(j) = 4*j + 39*j**2 - 8*j - 3 - 28*j**2 - 3. Let b(u) = u**2 - u - 1. Let d(s) = -5*b(s) + v(s). Let q = -38 - -39. Calculate d(q).
6
Let d(s) = 7*s + 6. Let q(a) = -2*a - 2. Let r(k) = d(k) + 3*q(k). Let b = 2 - 5. Determine r(b).
-3
Let q be (-20 + 19)*(5 - 4). Let i(o) = -54*o**3 - o**2 - o - 1. What is i(q)?
53
Let r(w) = -5*w**2 + 3*w**2 + 2*w**2 - w**2. Give r(-2).
-4
Let l(r) = 5*r - 11. Let q(g) = -4*g + 10. Let k(d) = -3*l(d) - 4*q(d). What is k(14)?
7
Let j(r) = -6*r. Let m = 242 + -244. Give j(m).
12
Let f = 244 + -240. Let g(c) be the first derivative of f - 3*c + 3/2*c**2. Calculate g(-3).
-12
Let p(a) = -a + 1. Let t(q) = 2 - 11*q + 7*q**2 - q**3 + 2*q**3 + 3*q. Let c be t(-8). Suppose -5*j + c*k = -2, 6*j = 2*j - k - 1. Calculate p(j).
1
Let f(q) = q**3 + 7*q**2 + 2*q + 9. Let p = 200 - 207. Give f(p).
-5
Let z(s) = 25*s - 12. Let h(i) = -46*i + 27. Let r(c) = 6*h(c) + 11*z(c). Calculate r(20).
10
Let h(p) = p**2 - p - 1. Let d = -69 + 68. Let q be (21 + -27)*d/3. Determine h(q).
1
Let x = 15 - 15. Suppose o = -3*r - 3*o + 30, x = 2*o - 6. Let y(p) = -2*p + 7. Determine y(r).
-5
Let d(k) = k**3 - 2*k**2 - k. Let v = 5 - 7. Let o = -23 + 29. Let p be (-1)/v*(o + -8). Determine d(p).
-2
Let d be -9*((-4)/(-6))/(-2). Let b(w) = -w**d + 3 + w + w**2 + 2 - 5. Determine b(0).
0
Let w(k) = -k - 6. Let s = -7 + 3. Let x be (-6)/(15/(-6) - s). Determine w(x).
-2
Let t(o) = 2*o**2 - 229 + 3*o**2 - 2*o + 230. Let p(v) = -v. Let u be 15/(-10) - 2/(-4). Let f be p(u). Give t(f).
4
Let b be 4/18 + 65/(-9). Let i(u) = u**3 + 103*u**2 + u - 11. Let m(n) = -24*n**2 + 1. Let g(a) = -i(a) - 4*m(a). Determine g(b).
14
Let m(i) be the third derivative of -i**5/60 - i**4/3 - i**3 - 3*i**2 + 3*i. What is m(-8)?
-6
Let t(n) be the second derivative of -n**8/480 + n**7/2520 + n**6/360 + n**5/120 - 9*n**4/4 - 7*n. Let l(p) be the third derivative of t(p). What is l(-1)?
14
Let g be (-2)/(-3)*(-14 + 44). Let k = -18 + g. Let o(j) = j - 4*j**2 + j**3 + 4*j**2 - 1. Calculate o(k).
9
Suppose 5*k = 5*b - 10, -4*k + b = -4*b + 11. Let s(c) be the first derivative of -7*c**4/4 + c**2/2 - 174. Determine s(k).
-6
Suppose 5*u = 5, 2 = 2*k - 5*u + 3. Let q(l) = 4*l**2 + 1. What is q(k)?
17
Let q = -37 - -40. Let d(a) = -2*a**2 + 5 + a**3 + 6 - q*a**2 - 9. Give d(5).
2
Let u(t) = 3*t**3 - t**2 + 12*t - 24. Let w be u(2). Let q(m) = -m**2 + 18*m + 45. Determine q(w).
5
Let i(x) = 0*x + 2*x - 3*x + 7. Suppose -5*y + 31 = -19. Suppose r + r = y. Give i(r).
2
Let c(f) = -1 + 3*f**2 + 3*f - 4*f**2 + 0*f + 4. Suppose 0 = 4*v - 4, -3 = a + 4*v - 12. Give c(a).
-7
Let z = -3 - -4. Let o be z + -2 + 2 + 0. Let j(c) be the third derivative of c**5/30 - c**4/24 - 5*c**2. Give j(o).
1
Let j(b) = -4 + 4 - 3 - b**2 - 3*b. What is j(-2)?
-1
Let l = -215 - -223. Suppose -o = 11 - l. Let j(b) = -b**2 + b - 1. Let k(q) = -q**3 - 9*q**2 + 6*q - 2. Let h(u) = 6*j(u) - k(u). Give h(o).
-4
Let i(j) = -2*j - 6. Let l(p) = -p**3 - 3*p**2 + p - 7. Let r be l(-3). Let b be (-30)/12*12/r. Suppose 5*z + 14 = 4*q + 6, q = -b*z - 15. Calculate i(z).
2
Let c(l) = -5*l - 12. Let t(b) = 19*b + 49. Let s(k) = 9*c(k) + 2*t(k). Let w(m) = 3*m + 6. Let p(v) = -4*s(v) - 9*w(v). Give p(10).
-4
Let z(h) be the third derivative of h**6/120 + h**5/5 + 11*h**4/24 - h**3/3 - 50*h**2 - 1. What is z(-11)?
-2
Let k(b) = b**2 + 14*b + 12. Suppose r - 32 = 2*z - 7, 0 = 5*z + 4*r + 69. What is k(z)?
-1
Let n(g) = -g**3 + 2*g + 24 - 8 + 4*g**2 - 11. Determine n(5).
-10
Let s(n) be the first derivative of n**2/2 - 3*n + 159. What is s(0)?
-3
Suppose 0 = 4*r - 2*f - 4, 3*r - 2*r = 4*f - 6. Let a(i) = -r + i + i - 7 + 14. Let d be a(-4). Let w(x) = x**3 + 4*x**2 + 3*x - 1. Calculate w(d).
-1
Let f(d) = d - 1. Let u be 1/2*(-3 + -1). Let r = -8 - u. Give f(r).
-7
Let y be (11 + -13)/(6/(-21)). Let c(i) = i + 5. Calculate c(y).
12
Let a(z) = -z - 2. Let x(g) = -g**2 - 15*g - 1. Let f be x(-13). Suppose 3*h - j - f = 0, 3 - 4 = j. Suppose 3*y = h*y + 15. What is a(y)?
1
Let v be 1/(-5) - (-42)/10. Let b(w) be the first derivative of 3*w**2 - 44 - 5/3*w**3 - 2*w + 1/4*w**4. Give b(v).
6
Suppose -2*p = 2*p. Let h be -9 + -1 + 1 + p. Let w(j) = 5*j + 541 + j**2 - 544 - j + 0*j**2 + 5*j. What is w(h)?
-3
Let x(r) = 3*r - 5. Let j(a) be the third derivative of 13*a**4/24 - 7*a**3/2 + 9*a**2. Let u(t) = -2*j(t) + 9*x(t). Determine u(6).
3
Let n(a) be the first derivative of 0*a**2 - 38 + 1/3*a**3 - 4*a. Determine n(0).
-4
Suppose 8*l - 10 = 3*l. Suppose 3*w + 4 - 16 = 0. Let f(m) = 5 + 2*m + l*m - w + 2*m. Give f(2).
13
Let x(z) be the second derivative of z**5/20 - 3*z**4/4 + 7*z**3/6 + 11*z**2/2 - 5*z. Let s(a) = -3*a + 14. Let n be s(2). Calculate x(n).
3
Let a(q) = -q + 0*q**2 + 1 - q**2 - 7. Let m = -260 + 260. Calculate a(m).
-6
Let h be 1*8*3/6. Let n(g) = 5*g + 3. Let o(c) = -15*c - 8. Let f(x) = h*o(x) + 11*n(x). Suppose 0 = p + 2. Determine f(p).
11
Let r(f) be the second derivative of -f**5/20 + f**4/3 + f**3 + 4*f**2 + 255*f. Give r(6).
-28
Suppose -v = 23 - 7. Let w be 40/v - (-2)/(-4). Let t(q) = -q**2 + 3*q. Let k(o) = 2*o**2 - 7*o - 1. Let d(g) = w*k(g) - 7*t(g). Give d(0).
3
Let f(h) = -4*h + 3 + 3*h**2 + h**2 - 9*h**2 + 2*h**2. What is f(-4)?
-29
Let s(u) = -u + 6. Let c = 171 - 96. Suppose -2 - c = -7*q. Give s(q).
-5
Let p be ((-6)/(-9))/((-2)/(-6)). Let b = -3 + p. Let d(g) = 17*g**3 + g + 2. Let u(j) = 4*j**3 + j + 1. Let x(y) = d(y) - 3*u(y). Give x(b).
-4
Suppose -41*a = -48*a - 21. Let j(i) = -2*i. Determine j(a).
6
Let k = -357 + 352. Let d(m) be the second derivative of -m**5/20 - 5*m**4/12 + m**3/6 + 7*m**2/2 + m. Determine d(k).
2
Let i(u) = 55*u + 17. Let b(r) = -7*r - 1. Let h(t) = 8*b(t) + i(t). Let x be ((-7)/2 - 0)*-2. What is h(x)?
2
Let k = 41 - 41. Suppose 2*m = -i - 2 - k, -5*m - 2*i = 3. Let x(w) = -16*w**2. Calculate x(m).
-16
Let j(x) = 98*x - 22*x + 21 - 26*x - 26*x - 23*x. Determine j(-14).
7
Let k = 186 + -182. Let n be (2 - 1) + (-3 - -2). Suppose -k*h = -8, n*p + p - 14 = -5*h. Let s(t) = t**3 - 3*t**2 - 5*t + 5. What is s(p)?
1
Let a = 47 - 42. Suppose 0 = 3*r - v - 3, -3*v = 5*r + v - a. Let t(d) = 9*d**3 - d + 1. Determine t(r).
9
Let g(s) be the second derivative of s**5/20 + 13*s**4/12 - 13*s**3/6 + 10*s**2 - 120*s. Determine g(-14).
6
Let c(w) = 5*w**2 - 4*w. Let b(a) = 14*a**2 - 13*a + 1. Let h(g) = 4*b(g) - 11*c(g). Let v(n) = 2*n**3 + 10*n**2 + 31*n + 164. Let o be v(-5). What is h(o)?
13
Let k be 5/2 - (-9)/(-18). Suppose 0 = 3*q + 9, -k*c = 3*q + 14 - 3. Let d(z) = -14*z**2 - z + 6 - 5 - 2 - z. Give d(c).
-13
Let z(m) = 0*m**3 + 2*m + m**3 - 2*m**2 + 3*m + 41 - 43. Let y(j) = -j**2 + 7*j + 11. Let | {
"pile_set_name": "DM Mathematics"
} |
st the prime factors of 3557.
3557
What are the prime factors of 91678?
2, 23, 1993
List the prime factors of 3875.
5, 31
What are the prime factors of 1106?
2, 7, 79
What are the prime factors of 916?
2, 229
List the prime factors of 2586.
2, 3, 431
What are the prime factors of 3533?
3533
List the prime factors of 71010.
2, 3, 5, 263
List the prime factors of 94498.
2, 37, 1277
What are the prime factors of 1125?
3, 5
What are the prime factors of 4982?
2, 47, 53
List the prime factors of 10968.
2, 3, 457
List the prime factors of 42293.
42293
What are the prime factors of 139994?
2, 69997
What are the prime factors of 1001?
7, 11, 13
List the prime factors of 1599.
3, 13, 41
List the prime factors of 1065.
3, 5, 71
What are the prime factors of 8049?
3, 2683
What are the prime factors of 15792?
2, 3, 7, 47
List the prime factors of 342.
2, 3, 19
What are the prime factors of 1223?
1223
List the prime factors of 703.
19, 37
List the prime factors of 31092.
2, 3, 2591
What are the prime factors of 750?
2, 3, 5
List the prime factors of 2532.
2, 3, 211
List the prime factors of 13400.
2, 5, 67
List the prime factors of 44144.
2, 31, 89
What are the prime factors of 23377?
97, 241
What are the prime factors of 90304?
2, 17, 83
List the prime factors of 143.
11, 13
What are the prime factors of 33351?
3, 11117
What are the prime factors of 21069?
3, 2341
List the prime factors of 2387.
7, 11, 31
What are the prime factors of 2369?
23, 103
What are the prime factors of 20960?
2, 5, 131
What are the prime factors of 771?
3, 257
List the prime factors of 64317.
3, 11, 1949
List the prime factors of 24121.
24121
What are the prime factors of 22160?
2, 5, 277
List the prime factors of 11485.
5, 2297
List the prime factors of 4025.
5, 7, 23
List the prime factors of 1052.
2, 263
What are the prime factors of 47701?
47701
What are the prime factors of 588?
2, 3, 7
List the prime factors of 669.
3, 223
List the prime factors of 12210.
2, 3, 5, 11, 37
What are the prime factors of 1395?
3, 5, 31
What are the prime factors of 2153?
2153
List the prime factors of 698.
2, 349
List the prime factors of 40168.
2, 5021
List the prime factors of 6181.
7, 883
List the prime factors of 8996.
2, 13, 173
What are the prime factors of 3072?
2, 3
What are the prime factors of 1373?
1373
List the prime factors of 14101.
59, 239
List the prime factors of 58729.
11, 19, 281
List the prime factors of 1380.
2, 3, 5, 23
What are the prime factors of 816?
2, 3, 17
What are the prime factors of 10278?
2, 3, 571
List the prime factors of 22433.
22433
What are the prime factors of 130747?
17, 7691
List the prime factors of 2732.
2, 683
List the prime factors of 89754.
2, 3, 7, 2137
List the prime factors of 1159.
19, 61
List the prime factors of 2840.
2, 5, 71
List the prime factors of 4133.
4133
List the prime factors of 53664.
2, 3, 13, 43
What are the prime factors of 43?
43
What are the prime factors of 212?
2, 53
What are the prime factors of 1817?
23, 79
List the prime factors of 1790.
2, 5, 179
List the prime factors of 700.
2, 5, 7
List the prime factors of 546.
2, 3, 7, 13
List the prime factors of 6148.
2, 29, 53
List the prime factors of 2904.
2, 3, 11
What are the prime factors of 8161?
8161
List the prime factors of 731.
17, 43
What are the prime factors of 930?
2, 3, 5, 31
What are the prime factors of 24621?
3, 29, 283
List the prime factors of 76366.
2, 38183
What are the prime factors of 168?
2, 3, 7
What are the prime factors of 9835?
5, 7, 281
List the prime factors of 25961.
13, 1997
What are the prime factors of 336?
2, 3, 7
What are the prime factors of 7080?
2, 3, 5, 59
List the prime factors of 1655.
5, 331
List the prime factors of 693.
3, 7, 11
List the prime factors of 43236.
2, 3, 1201
List the prime factors of 1338.
2, 3, 223
What are the prime factors of 79992?
2, 3, 11, 101
List the prime factors of 3789.
3, 421
List the prime factors of 925.
5, 37
What are the prime factors of 1303?
1303
List the prime factors of 10580.
2, 5, 23
What are the prime factors of 449?
449
List the prime factors of 1306.
2, 653
What are the prime factors of 16379?
11, 1489
List the prime factors of 54778.
2, 61, 449
What are the prime factors of 323?
17, 19
List the prime factors of 680.
2, 5, 17
List the prime factors of 55233.
3, 17, 19
What are the prime factors of 6417?
3, 23, 31
What are the prime factors of 135469?
135469
List the prime factors of 63349.
11, 13, 443
List the prime factors of 9082.
2, 19, 239
List the prime factors of 411.
3, 137
What are the prime factors of 1330?
2, 5, 7, 19
What are the prime factors of 10203?
3, 19, 179
List the prime factors of 8245.
5, 17, 97
What are the prime factors of 1006?
2, 503
List the prime factors of 3045.
3, 5, 7, 29
List the prime factors of 660.
2, 3, 5, 11
What are the prime factors of 278?
2, 139
What are the prime factors of 1766?
2, 883
List the prime factors of 54043.
11, 17
List the prime factors of 4413.
3, 1471
What are the prime factors of 64162?
2, 7, 4583
What are the prime factors of 7517?
7517
List the prime factors of 2941.
17, 173
What are the prime factors of 18755?
5, 11, 31
List the prime factors of 2452.
2, 613
What are the prime factors of 11602?
2, 5801
List the prime factors of 5606.
2, 2803
What are the prime factors of 2926?
2, 7, 11, 19
What are the prime factors of 10486?
2, 7, 107
What are the prime factors of 6534?
2, 3, 11
List the prime factors of 3030.
2, 3, 5, 101
What are the prime factors of 36897?
3, 7, 251
List the prime factors of 40569.
3, 13523
List the prime factors of 5803.
7, 829
What are the prime factors of 84571?
23, 3677
List the prime factors of 645.
3, 5, 43
What are the prime factors of 940?
2, 5, 47
What are the prime factors of 2320?
2, 5, 29
What are the prime factors of 90858?
2, 3, 19, 797
What are the prime factors of 123515?
5, 7, 3529
What are the prime factors of 339?
3, 113
What are the prime factors of 4158?
2, 3, 7, 11
List the prime factors of 45540.
2, 3, 5, 11, 23
What are the prime factors of 31671?
3, 17, 23
What are the prime factors of 3756?
2, 3, 313
List the prime factors of 293.
293
What are the prime factors of 7420?
2, 5, 7, 53
What are the prime factors of 21451?
19, 1129
What are the prime factors of 29235?
3, 5, 1949
List the prime factors of 175.
5, 7
What are the prime factors of 20276?
2, 37, 137
List the prime factors of 2639.
7, 13, 29
List the prime factors of 9222.
2, 3, 29, 53
What are the prime factors of 45916?
2, 13, 883
What are the prime factors of 313?
313
What are the prime factors of 1198?
2, 599
What are the prime factors of 19466?
2, 9733
What are the prime factors of 52345?
5, 19, 29
List the prime factors of 99.
3, 11
List the prime factors of 19337.
61, 317
What are the prime factors of 2131?
2131
List the prime factors of 1719.
3, 191
List the prime factors of 3525.
3, 5, 47
List the prime factors of 59887.
59887
List the prime factors of 962.
2, 13, 37
List the prime factors of 38492.
2, 9623
List the prime factors of 10215.
3, 5, 227
List the prime factors of 1683.
3, 11, 17
List the prime factors of 6810.
2, 3, 5, 227
What are the prime factors of 143?
11, 13
List the prime factors of 918.
2, 3, 17
What are the prime factors of 127198?
2, 63599
List the prime factors of 1574.
2, 787
List the prime factors of 39876.
2, 3, 3323
What are the prime factors of 4509?
3, 167
List the prime factors of 192006.
2, 3, 10667
List the prime factors of 3705.
3, 5, 13, 19
List the prime factors of 35656.
2, 4457
What are the prime factors of 43226?
2, 21613
What are the prime factors of 1798?
2, 29, 31
What are the prime factors of 22679?
22679
List the prime factors of 1232.
2, 7, 11
List the prime factors of 590.
2, 5, 59
List the prime factors of 477.
3, 53
What are the prime factors of 1709?
1709
List the prime factors of 2311.
2311
What are the prime factors of 3694?
2, 1847
List the prime factors of 1349.
19, 71
What are the prime factors of 4334?
2, 11, 197
What are the prime factors of 143983?
7, 67, 307
What are the prime factors of 39513?
3, 13171
What are the prime factors of 24554?
2, 12277
What are the prime factors of 292?
2, 73
List the prime factors of 899.
29, 31
List the prime factors of 12032.
2, 47
Lis | {
"pile_set_name": "DM Mathematics"
} |
nds digit of 3342?
3
What is the hundreds digit of 457?
4
What is the units digit of 12130?
0
What is the units digit of 1669?
9
What is the thousands digit of 5541?
5
What is the units digit of 9482?
2
What is the thousands digit of 3270?
3
What is the thousands digit of 4290?
4
What is the hundreds digit of 322?
3
What is the thousands digit of 1477?
1
What is the hundreds digit of 6545?
5
What is the tens digit of 4134?
3
What is the units digit of 12875?
5
What is the units digit of 2736?
6
What is the hundreds digit of 6926?
9
What is the hundreds digit of 10226?
2
What is the ten thousands digit of 116197?
1
What is the units digit of 54?
4
What is the tens digit of 1399?
9
What is the units digit of 54593?
3
What is the thousands digit of 15801?
5
What is the hundreds digit of 1486?
4
What is the ten thousands digit of 13975?
1
What is the units digit of 2885?
5
What is the hundreds digit of 25269?
2
What is the tens digit of 2048?
4
What is the units digit of 43455?
5
What is the thousands digit of 1479?
1
What is the thousands digit of 2378?
2
What is the units digit of 32392?
2
What is the hundreds digit of 12829?
8
What is the hundreds digit of 8986?
9
What is the ten thousands digit of 49741?
4
What is the hundreds digit of 5284?
2
What is the ten thousands digit of 125263?
2
What is the thousands digit of 52922?
2
What is the tens digit of 8820?
2
What is the thousands digit of 5423?
5
What is the hundreds digit of 661?
6
What is the thousands digit of 34880?
4
What is the units digit of 1645?
5
What is the hundreds digit of 49149?
1
What is the hundreds digit of 6445?
4
What is the hundreds digit of 541?
5
What is the ten thousands digit of 67292?
6
What is the thousands digit of 10620?
0
What is the units digit of 20655?
5
What is the ten thousands digit of 23355?
2
What is the units digit of 4928?
8
What is the ten thousands digit of 41288?
4
What is the units digit of 1784?
4
What is the hundreds digit of 102806?
8
What is the units digit of 2073?
3
What is the thousands digit of 8247?
8
What is the hundred thousands digit of 159313?
1
What is the thousands digit of 5541?
5
What is the tens digit of 2246?
4
What is the thousands digit of 10095?
0
What is the units digit of 2660?
0
What is the hundreds digit of 2569?
5
What is the units digit of 585?
5
What is the units digit of 4685?
5
What is the units digit of 4501?
1
What is the thousands digit of 18905?
8
What is the units digit of 4508?
8
What is the tens digit of 762?
6
What is the thousands digit of 47637?
7
What is the hundreds digit of 6448?
4
What is the thousands digit of 1157?
1
What is the ten thousands digit of 43805?
4
What is the hundreds digit of 4507?
5
What is the ten thousands digit of 17757?
1
What is the tens digit of 29865?
6
What is the tens digit of 653?
5
What is the hundreds digit of 11801?
8
What is the tens digit of 1597?
9
What is the units digit of 5374?
4
What is the tens digit of 1107?
0
What is the hundreds digit of 19293?
2
What is the hundreds digit of 2188?
1
What is the hundreds digit of 9730?
7
What is the tens digit of 3384?
8
What is the hundreds digit of 570?
5
What is the units digit of 5657?
7
What is the tens digit of 1840?
4
What is the units digit of 1121?
1
What is the hundreds digit of 1788?
7
What is the units digit of 243?
3
What is the hundreds digit of 25286?
2
What is the hundreds digit of 22601?
6
What is the hundreds digit of 3774?
7
What is the thousands digit of 2669?
2
What is the units digit of 204?
4
What is the thousands digit of 35633?
5
What is the thousands digit of 7677?
7
What is the units digit of 3561?
1
What is the hundreds digit of 276?
2
What is the hundreds digit of 4225?
2
What is the ten thousands digit of 96908?
9
What is the thousands digit of 2171?
2
What is the ten thousands digit of 86757?
8
What is the hundreds digit of 288?
2
What is the hundreds digit of 36112?
1
What is the ten thousands digit of 64565?
6
What is the thousands digit of 6077?
6
What is the units digit of 54894?
4
What is the hundreds digit of 1309?
3
What is the tens digit of 2336?
3
What is the hundreds digit of 5654?
6
What is the thousands digit of 1651?
1
What is the tens digit of 48?
4
What is the thousands digit of 89069?
9
What is the thousands digit of 10690?
0
What is the tens digit of 1044?
4
What is the units digit of 52665?
5
What is the tens digit of 2187?
8
What is the ten thousands digit of 78579?
7
What is the hundreds digit of 5500?
5
What is the thousands digit of 2462?
2
What is the units digit of 9777?
7
What is the units digit of 34345?
5
What is the thousands digit of 7981?
7
What is the thousands digit of 1661?
1
What is the tens digit of 1162?
6
What is the tens digit of 38126?
2
What is the ten thousands digit of 161194?
6
What is the thousands digit of 4083?
4
What is the hundreds digit of 6041?
0
What is the units digit of 926?
6
What is the hundreds digit of 5822?
8
What is the units digit of 95323?
3
What is the units digit of 41294?
4
What is the thousands digit of 1086?
1
What is the thousands digit of 55488?
5
What is the hundreds digit of 25941?
9
What is the ten thousands digit of 22168?
2
What is the thousands digit of 1129?
1
What is the units digit of 184?
4
What is the hundreds digit of 1508?
5
What is the ten thousands digit of 10059?
1
What is the ten thousands digit of 70686?
7
What is the thousands digit of 2360?
2
What is the units digit of 1802?
2
What is the units digit of 3243?
3
What is the tens digit of 6244?
4
What is the thousands digit of 11295?
1
What is the ten thousands digit of 22397?
2
What is the hundred thousands digit of 113002?
1
What is the units digit of 1760?
0
What is the units digit of 1085?
5
What is the units digit of 3680?
0
What is the hundreds digit of 144585?
5
What is the thousands digit of 8157?
8
What is the hundreds digit of 37917?
9
What is the hundreds digit of 139?
1
What is the hundreds digit of 6432?
4
What is the units digit of 13765?
5
What is the units digit of 9198?
8
What is the hundreds digit of 67962?
9
What is the hundreds digit of 387?
3
What is the units digit of 7332?
2
What is the tens digit of 50273?
7
What is the units digit of 19256?
6
What is the thousands digit of 2390?
2
What is the units digit of 406?
6
What is the tens digit of 497?
9
What is the units digit of 10572?
2
What is the thousands digit of 7949?
7
What is the thousands digit of 71213?
1
What is the tens digit of 95809?
0
What is the tens digit of 2611?
1
What is the tens digit of 82304?
0
What is the units digit of 916?
6
What is the tens digit of 1838?
3
What is the tens digit of 15346?
4
What is the tens digit of 1746?
4
What is the hundreds digit of 2760?
7
What is the thousands digit of 2041?
2
What is the hundreds digit of 354?
3
What is the thousands digit of 4697?
4
What is the units digit of 20144?
4
What is the thousands digit of 95259?
5
What is the units digit of 739?
9
What is the ten thousands digit of 23160?
2
What is the hundreds digit of 4384?
3
What is the thousands digit of 3419?
3
What is the tens digit of 304?
0
What is the units digit of 545?
5
What is the thousands digit of 1606?
1
What is the units digit of 18359?
9
What is the units digit of 8002?
2
What is the thousands digit of 1614?
1
What is the units digit of 12811?
1
What is the units digit of 5290?
0
What is the hundreds digit of 594?
5
What is the hundreds digit of 7570?
5
What is the tens digit of 40745?
4
What is the hundreds digit of 63711?
7
What is the tens digit of 13205?
0
What is the hundreds digit of 28894?
8
What is the tens digit of 1179?
7
What is the hundreds digit of 10176?
1
What is the ten thousands digit of 35349?
3
What is the units digit of 252?
2
What is the units digit of 30447?
7
What is the units digit of 7260?
0
What is the hundreds digit of 84242?
2
What is the hundreds digit of 2010?
0
What is the units digit of 523?
3
What is the hundreds digit of 7634?
6
What is the tens digit of 10181?
8
What is the hundreds digit of 500?
5
What is the ten thousands digit of 30841?
3
What is the thousands digit of 3447?
3
What is the hundreds digit of 17889?
8
What is the tens digit of 7258?
5
What is the thousands digit of 1260?
1
What is the tens digit of 873?
7
What is | {
"pile_set_name": "DM Mathematics"
} |
es?
21250
How many weeks are there in 181.5972669 microseconds?
0.00000000030026003125
What is 43/2 of a millennium in centuries?
215
What is 3.368718g in tonnes?
0.000003368718
How many millilitres are there in 8.301718l?
8301.718
How many seconds are there in 401.7183ms?
0.4017183
How many millilitres are there in three fifths of a litre?
600
How many minutes are there in 37/2 of a day?
26640
What is 42596.88 kilometers in micrometers?
42596880000000
What is 46357.32 centimeters in micrometers?
463573200
What is 6.117627ng in grams?
0.000000006117627
What is 50671.03 centuries in months?
60805236
What is 8477.61 centuries in decades?
84776.1
What is thirty-two fifths of a gram in milligrams?
6400
What is 3/40 of a litre in millilitres?
75
What is one-hundred-and-one quarters of a milligram in micrograms?
25250
Convert 3793.979 milligrams to grams.
3.793979
What is 5574.805mm in centimeters?
557.4805
How many kilograms are there in 3222.773 milligrams?
0.003222773
How many meters are there in 1/20 of a kilometer?
50
What is 34433.47km in millimeters?
34433470000
How many decades are there in 7/2 of a century?
35
How many nanograms are there in 21/4 of a microgram?
5250
What is one tenth of a millennium in decades?
10
How many millimeters are there in thirty-seven fifths of a centimeter?
74
What is 7/3 of a minute in seconds?
140
How many tonnes are there in 57.83744 micrograms?
0.00000000005783744
How many millilitres are there in fifty-seven fifths of a litre?
11400
What is 4/3 of a year in months?
16
Convert 37.8864 milligrams to micrograms.
37886.4
Convert 0.0118903ml to litres.
0.0000118903
How many decades are there in three fifths of a millennium?
60
How many milligrams are there in 75/4 of a gram?
18750
How many millilitres are there in 15/4 of a litre?
3750
What is 1/10 of a millennium in months?
1200
What is 62015.29g in tonnes?
0.06201529
How many nanometers are there in fourty-four fifths of a micrometer?
8800
How many litres are there in 6028.84 millilitres?
6.02884
How many months are there in 3169.439 decades?
380332.68
What is 5/4 of a litre in millilitres?
1250
What is 1/15 of a week in seconds?
40320
Convert 4.354669 millennia to months.
52256.028
What is 1/4 of a kilometer in centimeters?
25000
Convert 88.07098 hours to milliseconds.
317055528
How many centuries are there in fourty-five halves of a millennium?
225
What is 4/15 of a decade in months?
32
Convert 0.0561182 litres to millilitres.
56.1182
Convert 839.1095 micrometers to kilometers.
0.0000008391095
What is 53807.25l in millilitres?
53807250
What is 6/5 of a decade in years?
12
What is 3/25 of a meter in millimeters?
120
What is one tenth of a litre in millilitres?
100
How many decades are there in 0.975613 millennia?
97.5613
How many centuries are there in 74/5 of a millennium?
148
What is 69.3685ml in litres?
0.0693685
What is one quarter of a micrometer in nanometers?
250
What is 169.70409 months in millennia?
0.0141420075
Convert 9117.664 meters to nanometers.
9117664000000
What is 17/2 of a century in decades?
85
What is 31/5 of a century in months?
7440
Convert 96970.94 centuries to years.
9697094
What is 179.0721 millimeters in kilometers?
0.0001790721
Convert 0.5365475 millennia to decades.
53.65475
What is 27/5 of a litre in millilitres?
5400
How many minutes are there in four thirds of a hour?
80
What is 3/8 of a kilometer in meters?
375
Convert 0.0445319um to centimeters.
0.00000445319
Convert 9.907365 centimeters to kilometers.
0.00009907365
What is 59/5 of a century in years?
1180
Convert 2829.966 tonnes to milligrams.
2829966000000
How many months are there in 6/5 of a decade?
144
What is 51.5228l in millilitres?
51522.8
Convert 0.3130959kg to micrograms.
313095900
What is thirteen fifths of a micrometer in nanometers?
2600
How many nanograms are there in 677888.3g?
677888300000000
How many micrograms are there in twenty-one halves of a milligram?
10500
What is 6.922795 centuries in years?
692.2795
What is 11/2 of a litre in millilitres?
5500
How many microseconds are there in 3/50 of a second?
60000
Convert 31.95633 hours to weeks.
0.19021625
What is 2709.9531 months in years?
225.829425
What is 1/20 of a litre in millilitres?
50
What is fifty-three quarters of a decade in months?
1590
What is 77/3 of a decade in months?
3080
How many millimeters are there in fourty-four fifths of a meter?
8800
How many years are there in 13/5 of a millennium?
2600
What is 96.0111 milligrams in grams?
0.0960111
What is 324124.1kg in grams?
324124100
What is 4/7 of a week in days?
4
How many nanograms are there in 5/4 of a microgram?
1250
Convert 720.1649 micrograms to grams.
0.0007201649
What is sixty-four fifths of a litre in millilitres?
12800
How many micrograms are there in 33/5 of a milligram?
6600
What is fifty-four fifths of a litre in millilitres?
10800
How many micrometers are there in 3/5 of a millimeter?
600
What is 0.3484118 hours in minutes?
20.904708
What is 17/2 of a litre in millilitres?
8500
How many days are there in 51.493347 seconds?
0.0005959878125
How many years are there in twenty-seven fifths of a millennium?
5400
Convert 9.708455 litres to millilitres.
9708.455
What is 11/10 of a litre in millilitres?
1100
What is twenty-one fifths of a millennium in decades?
420
Convert 116481.3 millilitres to litres.
116.4813
What is twenty-one quarters of a meter in millimeters?
5250
How many centuries are there in 4.70799 years?
0.0470799
How many months are there in 5/6 of a millennium?
10000
What is 3/8 of a centimeter in micrometers?
3750
Convert 5578.082 years to millennia.
5.578082
What is seven thirds of a minute in seconds?
140
How many millilitres are there in sixty-three eighths of a litre?
7875
How many years are there in six fifths of a century?
120
What is 7/2 of a century in years?
350
What is 235172.91 months in millennia?
19.5977425
How many kilometers are there in 31.62382 centimeters?
0.0003162382
What is 215.6327 tonnes in milligrams?
215632700000
How many years are there in seven quarters of a century?
175
What is 0.0494644 millilitres in litres?
0.0000494644
Convert 736.4998l to millilitres.
736499.8
How many seconds are there in 1/30 of a minute?
2
How many grams are there in fifty-one quarters of a kilogram?
12750
What is fourty-one halves of a centimeter in millimeters?
205
How many hours are there in thirty-one sixths of a week?
868
What is 9.023852ml in litres?
0.009023852
How many seconds are there in 0.484081 milliseconds?
0.000484081
What is 29/2 of a hour in seconds?
52200
How many months are there in 1084.26 millennia?
13011120
What is thirteen eighths of a centimeter in micrometers?
16250
What is 17/2 of a decade in years?
85
How many microseconds are there in 783936.2 hours?
2822170320000000
How many millilitres are there in 19.45974 litres?
19459.74
What is 1/5 of a litre in millilitres?
200
What is three tenths of a century in years?
30
What is thirteen quarters of a minute in seconds?
195
What is 24.86437 tonnes in micrograms?
24864370000000
How many decades are there in 201857.04 months?
1682.142
How many micrograms are there in 4.568653ng?
0.004568653
What is four fifteenths of a minute in milliseconds?
16000
What is 70058.91 nanometers in meters?
0.00007005891
Convert 29651.81g to milligrams.
29651810
Convert 96.36886 kilometers to meters.
96368.86
How many grams are there in 3/10 of a kilogram?
300
How many centimeters are there in 3/16 of a kilometer?
18750
What is five eighths of a microsecond in nanoseconds?
625
How many micrograms are there in 45/2 of a milligram?
22500
How many millilitres are there in sixty-nine halves of a litre?
34500
Convert 0.2214855 nanoseconds to milliseconds.
0.0000002214855
What is 3.950906t in micrograms?
3950906000000
Convert 10.66172l to millilitres.
10661.72
What is 1/20 of a meter in micrometers?
50000
What is 1/4 of a kilogram in grams?
250
How many weeks are there in 11915.31411 milliseconds?
0.000019701246875
How many tonnes are there in 0.2871051ng?
0.0000000000000002871051
Convert 369.0167km to meters.
369016.7
How many millimeters are there in fourty-five halves of a centimeter?
225
How many nanometers are there in 45398.64cm?
453986400000
What is 0.8807014 nanoseconds i | {
"pile_set_name": "DM Mathematics"
} |
t u(d) = 3*d**2 - 11*d - 43. What are the prime factors of u(13)?
3, 107
Let n(y) = y**2 + y - 4. Let j be n(-3). Suppose -4 + j = -m. List the prime factors of m.
2
Suppose 9 = -5*b + 29. What are the prime factors of b?
2
Let w be 3/9 - 28/3. Let r = 20 + w. List the prime factors of r.
11
Suppose 3*q - 15 = -69. List the prime factors of (-462)/q - (-2)/(-3).
5
Let s(c) = 4*c**2 + 22*c + 5. List the prime factors of s(5).
5, 43
Suppose 0 = -6*d + d + 5*p - 80, -2*p + 56 = -4*d. Let l = d + 21. List the prime factors of l.
3
Let m be 541/7 + (-4)/14. List the prime factors of 3017/m - 4/22.
3, 13
Let h = 5 + -2. Suppose 2*a = -h + 9. Suppose -35 = -4*b - a. List the prime factors of b.
2
Suppose -5*v - 2*s + 271 = 0, 10*s + 285 = 5*v + 5*s. Suppose 5*r + v = 290. List the prime factors of r.
47
Let u be -2 + 2 - 10/1. Suppose 0 = -y + 4*x - 58, -x = x. What are the prime factors of 1/5 + y/u?
2, 3
Suppose 1 = -3*p + 7. Suppose p + 4 = f. What are the prime factors of f?
2, 3
Let s = 17 - 25. Let y(w) = -w - 2. Let q be y(s). List the prime factors of q/(-15) + 44/10.
2
Let v = -4 + 6. Let u be (1 + v)/3 + -8. Let y = -1 - u. List the prime factors of y.
2, 3
Suppose 0 = -5*l + 9*l - 588. What are the prime factors of l?
3, 7
Suppose 331 + 179 = 3*z. List the prime factors of z.
2, 5, 17
Suppose -n + 2*r + 211 = 2*n, -4*r = -n + 67. List the prime factors of n.
71
Let t be -5*1 - (-3 + 4). What are the prime factors of 30*((-22)/t - 3)?
2, 5
List the prime factors of 1646/14 - ((-36)/21)/4.
2, 59
Suppose 9*s - 28 = 5*s. Suppose 8*g - 6 = s*g. What are the prime factors of g?
2, 3
Let z(m) = 3*m**2 - 2*m + 5. Let b(l) = l**2 + 1. Let j(w) = -4*b(w) + z(w). Let x be j(-3). What are the prime factors of 2*(0/x - -1)?
2
Let i = -26 + 11. Suppose -7*k - 8 = -3*k. What are the prime factors of k/(17/i - -1)?
3, 5
List the prime factors of (-4)/(-16) + 223/4.
2, 7
Let i = 10 + -5. Suppose 5*z = 3*q - 4*q + 16, i*q = 5*z - 10. Let v = 14 - z. What are the prime factors of v?
11
Suppose 15 + 17 = -4*x. Let o = 16 + x. What are the prime factors of o?
2
Let f be (-30)/(-2)*4/6. Suppose 0*s = s - f. Suppose -3*u - 1 = -s. What are the prime factors of u?
3
Let j = -6 + 3. Let a = 3 + j. Suppose -4*m + 9 = 3*o, a*m = -2*o + m + 6. List the prime factors of o.
3
Let y(r) be the second derivative of -r**5/5 + r**4/3 + r**3/2 - r**2 - 3*r. What are the prime factors of y(-2)?
2, 5
Let c(z) = z**3 + 5*z**2 - 5*z + 4. Let p be c(3). Let j = p + -32. List the prime factors of j.
29
Let r be (-1)/(2 + 9/(-5)). Let b(s) = -s**2 - 7*s + 7. What are the prime factors of b(r)?
17
Let o = 36 - 18. What are the prime factors of o?
2, 3
List the prime factors of 15*6/50*5.
3
Let p(r) = r**2 - 12*r - 24. List the prime factors of p(-9).
3, 5, 11
What are the prime factors of 1/((20/(-244))/(-5))?
61
Let w(r) be the third derivative of r**2 + 2*r**3 - 1/120*r**6 + 0*r - 2/15*r**5 + 0 + 5/12*r**4. List the prime factors of w(-9).
3
Let s(i) = i**2 - 2*i - 10. What are the prime factors of s(7)?
5
Let q = 18 + -4. List the prime factors of q.
2, 7
Suppose -1 = -r - 0. Let v = -5 - r. Let w = 11 + v. List the prime factors of w.
5
Let l be (-6)/(0 + -1) + 2. Let o be ((-4)/l)/(1/20). What are the prime factors of (8/o)/((-2)/25)?
2, 5
Suppose -5*b = 4*i - 64, 2*b - 2*i - 26 = -4*i. List the prime factors of b.
2, 3
Let j = 5 - -17. List the prime factors of j.
2, 11
Let c(y) = -y**3 + 4*y**2 + 5*y + 4. Suppose 2*s + 0*q - 16 = 3*q, -4*q + 7 = 3*s. List the prime factors of c(s).
2
Suppose 3*r + 4*b = 2*r - 2, -5*b - 1 = 2*r. Suppose 5*x - 43 = -2*k, 3*x - x + r*k - 22 = 0. List the prime factors of x.
7
Let a(d) = -d**3 - 5*d**2 - 4*d - 1. Let b be a(-4). Let q be 192/(-9) - b/3. Let i = -8 - q. List the prime factors of i.
13
Let n(d) = 26*d**3 + 2*d. What are the prime factors of n(2)?
2, 53
Suppose 2*p - 225 - 7 = -4*s, 3*s - 229 = -2*p. What are the prime factors of p?
2, 5, 11
List the prime factors of (155/10)/((-3)/(-6)).
31
Let d = 100 + -65. Suppose 3*a - 8*a = -d. Suppose -5*w + 37 = a. List the prime factors of w.
2, 3
Suppose -4*u - 18 = -2*x, 2*x - 10 = 2*u + 2. What are the prime factors of 37 + (4 - 3) + x?
41
Suppose -5*t - 9 + 4 = 0. Let k = 8 + t. Let v(i) = i**2 - 7*i + 3. What are the prime factors of v(k)?
3
Suppose 0 = -z + 4*z + 69. Let p = -41 - z. Let u = p - -25. What are the prime factors of u?
7
Suppose -4*o + 124 = -4*y, 2*o + 5*y = -o + 53. List the prime factors of o.
2, 13
List the prime factors of 1/(3 + 69/(-24)).
2
Let w = -5 + 5. Suppose 6*f + 87 - 255 = w. What are the prime factors of f?
2, 7
Let w(k) = -k**3 - 8*k**2 + 4*k + 3. Let x(z) = -2*z**2 - 3*z. Let n be x(-3). List the prime factors of w(n).
2, 3
Let p be -3 - 5/(-1) - -4. Let o be (99/p)/(-3)*2. Let c = o - -16. What are the prime factors of c?
5
Let n be 32/12*(-69)/(-2). Suppose 5*y = y + n. List the prime factors of y.
23
Suppose 0 = b - 3*b + 6, 5*j + b = 8. Let h = j + 1. Suppose 3*v = -h*v + 35. What are the prime factors of v?
7
Suppose -j - 4 = 0, 10*o = 5*o + 5*j + 100. What are the prime factors of o?
2
List the prime factors of 706/26 + (-30)/195.
3
Suppose 4*y - i + 16 = 0, 28 = -4*y + i - 3*i. List the prime factors of ((-68)/y)/((-8)/(-20)).
2, 17
Suppose 0 = -3*q + 18. Let b = -7 + 11. List the prime factors of q/b*(-56)/(-21).
2
Let v be ((-4)/(-6))/(2/(-6)). Suppose 2*t - 5 = -1. What are the prime factors of (t/4)/(v/(-20))?
5
Suppose 5*c - 16 - 179 = 0. What are the prime factors of c?
3, 13
Let v(m) = 2*m - 3. Let w(t) = -t**2 - 7*t + 5. Let u be w(-6). Suppose -4*a - 2 = -h - 5*a, 2*h = -5*a - u. List the prime factors of v(h).
11
Let r(z) = z**3 + 4*z**2 + 2*z - 2. Let d be r(-2). List the prime factors of 2/d*(5 + 0).
5
Suppose 4*v - 69 - 26 = -3*l, -2*l - 4*v + 58 = 0. Suppose -3*y - 3*o - o + 35 = 0, 3*y - l = -2*o. List the prime factors of y.
13
Let g(v) = -v**2 - 13*v - 3. What are the prime factors of g(-11)?
19
List the prime factors of 40 + 4 - -6 - (2 - -1).
47
List the prime factors of (33/(-12))/(2 + (-114)/56).
7, 11
Suppose 2*k - 15 = 25. Suppose k = 3*a + a. Suppose 6*g - 8 = 2*g - 4*c, -a*g = 3*c - 14. What are the prime factors of g?
2
Suppose 5*y - 126 = 94. What are the prime factors of y?
2, 11
Suppose 4*o - 406 = 30. List the prime factors of o.
109
Let d be (0 + -10)/(-1 + 0). Let u = -6 + d. What are the prime factors of u?
2
Let s(x) = -202*x + 1. List the prime factors of s(-1).
7, 29
Let d = 18 + -18. Let o(h) = h - 1. Let a be o(5). Suppose d = 2*j - a*j + 20. What are the prime factors of j?
2, 5
Let x = 30 + -21. What are the prime factors of x?
3
Suppose 187 = i + 74. Let y = i - 60. List the prime factors of y.
53
Let i = -3 - -6. Suppose -d - 2 = -2*x, 3*d = -i*x - 2 + 5. Let g(w) = -w**2 + w + 4. List the prime factors of g(d).
2
Let t(s) = s**2 - 18*s + 18. Let v be t(17). Suppose 2*a - 17 = v. What are the prime factors of a?
3
Let b be ((-6)/(-5))/(4/10). Let v be 9/(-2 + 55/20). Suppose -v - b = -3*y. List the prime factors of y.
5
Let d = -16 + 37. Let a = 39 - d. List the prime factors of a.
2, 3
Suppose 5*q + 368 = 9*q. List the prime factors of q.
2, 23
Let p(w) = 2 - 2 + 69*w - 27*w. Let x be p(2). Suppose 5*i = i + x. List the prime factors of i.
3, 7
Suppose 0 = w - 4*c - 6, -2*w + c + 24 = -c. Suppose 2*o - o = w. What are the prime factors of o?
2, 7
Suppose 5*g = 5*i - 995, 2*i + 2*g = -2*g + 410. List the prime factors of i.
3, 67
Let i be (-14)/8*(4 + 0). Let g(j) = 4*j**2 + 10. Let n(t) = -3*t**2 + t - 10. Let o(a) = 4*g(a) + 5*n(a). What are the prime factors of o(i)?
2
Let g(d) = d**3 - 11*d**2 + d - 9. Let s be -11*(-1*3 + 2). List the prime factors of g(s).
2
Suppose 4*i = 4*d + 476, -142 = -2*i - 4*d + 78. What are the prime factors of i?
2, 29
Let v(w) = 3*w**2 + 2*w + 6. What are the prime factors of v(-2)?
2, 7
Suppose 7*j - 2*j + 5*i - 650 = 0, -496 = -4*j + 2*i. Suppose j = -4*v - 18. List the prime factors of (-12)/(-9)*v/(-8).
2, 3
What are the prime factors of (-1)/(-3 + (-1012)/(-338))?
13
Let k(a) = 2*a**3 + 14*a**2 - 3*a + 1. List the prime factors of k(-5).
2, 29
Suppose 2 = 4*x - 6. Suppose x*j = 4 - 0. Suppose j*m + m - 15 = 0. List the prime factors of m.
5
Let w(m) = -5*m - 25. | {
"pile_set_name": "DM Mathematics"
} |
80459/37360 - -1/37360. Let v = 118 - z. Let j = 13/12 + -35/36. What is the nearest to 0.2 in 0.3, v, j?
j
Let m = -0.1 - -0.3. Which is the nearest to m? (a) 0.1 (b) 1 (c) 4
a
Let v = -1.7 + 1.6. Let l = -0.17 - -12.17. Let p = l + -17. What is the nearest to 0.1 in p, v, 3?
v
Suppose -x - 2*x = -6. What is the nearest to x in -5, -4, 0?
0
Let t be 1/2 + -1 + 2. Let i = -0.989 - 0.011. What is the closest to i in t, 1, -5?
1
Let o = -0.018 - 1.882. What is the nearest to -2 in -2/9, o, -3?
o
Let t = 85.5 + -109. Let p = t + 24. What is the closest to -1 in p, 0.4, -1?
-1
Let i = 8.8 - 9. What is the closest to -2 in -0.3, i, 1/3?
-0.3
Let x be 1/(-1) - (-1 + -1). Let u = -1.7 + 9.7. Let w = 3 - u. Which is the nearest to 1? (a) -1/7 (b) x (c) w
b
Let c = 0.1 - -0.2. Let p(z) = -z**2 + 3*z - 2. Let o be p(3). What is the closest to -0.1 in c, o, -3?
c
Let p = 39 - 34. What is the closest to 21 in 1, -0.3, p?
p
Let v = -1.9 - -2. Suppose 5*z - 14 = -4. Let p = -74 - -74.1. What is the nearest to v in p, 0.2, z?
p
Let f be 0/(-2) + (-16)/(-48). Which is the nearest to f? (a) -2 (b) 3/4 (c) -0.08
c
Let w be (-10)/6 + 1 + 2. Let g = -383/10 + 67/2. Let j = g + 274/55. Which is the nearest to -1? (a) w (b) 3/2 (c) j
c
Let r = 0.4 - -0.1. Let f = 1.401 + -1.301. Suppose j = d + 3, 4*j - 4 = -4*d - 8. What is the nearest to f in d, -5, r?
r
Let f = -17 + 17.1. Which is the closest to f? (a) -4 (b) -3 (c) 2
c
Let n = -39 - -40. What is the nearest to n in -4/7, 3, -0.2?
-0.2
Let r = -51 + 53. What is the closest to -1 in -0.08, -0.3, r?
-0.3
Let t be (27/(-24))/(5/(-12)). Let s = -23/10 + t. Let j = -0.1 + -0.1. What is the nearest to s in 5, 4, j?
j
Let v be 6/(-15) - (-11)/15. Let g = 20 - 21. Which is the nearest to g? (a) -5 (b) 0.4 (c) v
c
Let m = 3/8 + -23/40. Which is the nearest to 2/3? (a) -0.4 (b) m (c) 1
c
Let l = 2 + -3. Let z = -2.92 - 0.08. What is the closest to -2/3 in l, z, 0?
l
Let i = 6.6 + -6.6. What is the closest to i in 0.05, -0.5, 2?
0.05
Suppose -2*l + 4*l - 2 = 0. Let x be -3 - (1/l + -8). Which is the closest to -1? (a) 5 (b) 0.1 (c) x
b
Let z = -1.4 - -2.1. Let x = z + -0.4. Let j = -7 - -10. What is the nearest to -0.1 in x, j, -0.4?
-0.4
Let u = -535595070 - -6970502069/13. Let z = u + -597710. Let x = -313 - z. Which is the nearest to 1? (a) -3 (b) -1 (c) x
c
Let x = -21 - -22. Which is the nearest to x? (a) 3 (b) -3/5 (c) -5
b
Let y = -0.27 - -0.07. Let v = -0.2 + y. Let d = v - -0.3. Which is the closest to d? (a) -3 (b) -1 (c) -0.3
c
Suppose -4 + 1 = -3*a. What is the closest to a in -2/5, -4, -0.05?
-0.05
Let n(t) = 19*t + 10. Let o be n(12). Let x = o + -1663/7. Which is the nearest to 0? (a) 3 (b) x (c) 0.2
c
Let y = -0.191 + 2.191. What is the nearest to 1/4 in 2/17, -2, y?
2/17
Let n = -642/35 - -134/7. Let x = -0.5 + 0. Which is the closest to -2? (a) x (b) -3 (c) n
b
Let g = 0.347 + 0.053. What is the nearest to -5 in 0, g, -5?
-5
Let m = 279381/289 - 1015772377/1089530. Let g = 1004/29 - m. Let n = 5/26 + g. What is the closest to -2 in 5, -2/15, n?
-2/15
Let t = -0.28 + 0.28. Let j = -0.1 - -0.08. Let i = j + 5.02. What is the closest to t in 2/11, i, 0.2?
2/11
Suppose -3*a + 5*r = -23, -3*r - 2*r = -4*a + 24. Let f be (-5)/10 - a/(-3). What is the nearest to 1/2 in f, -2/15, 1?
1
Let w = -36 - -24. Which is the nearest to w? (a) -3 (b) -2 (c) -0.2
a
Let d = 0.4 + 0.6. What is the nearest to 1 in 3/10, d, 1/5?
d
Let h be (-2 - 6/2) + 1. Let u = -8 - -3. Let j be ((-2)/16)/((-3)/(-6)). What is the nearest to -1 in h, u, j?
j
Let i be 0/((-20)/(-5) + -3). Let f = 9 + -6. What is the nearest to i in -2, 5, f?
-2
Let x = 56 + -57. Let m = -3 + 3. Let a = m - -0.2. What is the closest to x in -0.5, a, -1/5?
-0.5
Suppose 0 - 2 = -2*z. Let u(n) = -4*n**2 - n. Let f be u(z). Let w(x) = x + 5. Let i be w(f). What is the nearest to 0.1 in -3, i, -5?
i
Suppose 0 = 242*r - 243*r + 2. What is the closest to r in -2/9, 0, -1/3?
0
Let o = 46 - 49. What is the closest to 0 in o, -2/7, -0.2?
-0.2
Let v = -18.9 - -18. Let g = v + 1. Which is the nearest to g? (a) 0.4 (b) 3 (c) 5
a
Suppose -5*f - 27 = -47. Which is the closest to 0.3? (a) f (b) -0.2 (c) -0.4
b
Let k = -10.6 + 8.6. What is the closest to k in 2, -5, 0.7?
0.7
Let p = -1.05 - -0.65. Which is the nearest to 0? (a) -1/4 (b) -4 (c) p
a
Let s = -8.6 - -8. Let x = -0.5 - s. Which is the closest to 0.1? (a) x (b) -1 (c) 0.5
a
Let g = -3 + 2.5. Let l(h) = -h**3 - 7*h**2 - 5*h + 8. Let j be l(-6). Suppose 1 = -p + j. Which is the nearest to p? (a) -0.1 (b) g (c) 2
c
Let j = 0.009 - -2.691. Let u = 3 - j. Let r be ((-3)/10)/((-6)/(-8)). Which is the closest to r? (a) u (b) 1 (c) -0.2
c
Let o be 24/4 + -1 + -3. What is the nearest to o in -2/11, -3/5, -0.3?
-2/11
Let z = -32.8 - -34.8. Let j be 3/(-7)*(-1)/3. Which is the closest to z? (a) j (b) 0.5 (c) -1/3
b
Let l be (0 - 2/6)*12. Which is the nearest to -0.05? (a) l (b) 0.4 (c) 0.3
c
Let m = -0.1 + -0.1. Suppose -5*b + 0 - 5 = -4*h, 5*b + 5 = 3*h. What is the closest to 0 in h, m, -5?
h
Let k = -8.1 - -0.1. Let l = -190.9 + 183. Let o = k - l. Which is the closest to -2/9? (a) 1/5 (b) -1 (c) o
c
Let i = -47/3 - -15. Let z be ((-6)/8)/((-2)/4). What is the closest to -0.2 in -3, i, z?
i
Let p = 27 - 27.5. What is the closest to 2 in 2/15, -5, p?
2/15
Let n = -12 - -14.6. Let s = 1.6 - n. Which is the closest to s? (a) 0.4 (b) -1 (c) 4
b
Let j = -2.8 + 2.7. What is the nearest to 2/5 in 1, j, -2/11?
j
Let h = -12.5 + 12. Let s = 12 - 11. What is the closest to -2/9 in s, 2, h?
h
Let j be (-42)/(-60)*24/(-182). Let q = j - 4/13. Which is the nearest to 0? (a) 4 (b) -0.2 (c) q
b
Let a = 2.5 + -0.5. Suppose 5*y = 5*r + 22 + 88, 0 = 4*y - 2*r - 94. Suppose -4*d = d - y. What is the closest to 1/2 in d, -2, a?
a
Suppose -4*l - 25 = -9*l. What is the closest to -1 in 0.3, l, -8?
0.3
Let t = 3.6 - 3.5. Which is the nearest to t? (a) -2 (b) -0.04 (c) 1/10
c
Let n = 130 - 125. What is the closest to 0 in n, 1/22, 4/7?
1/22
Let i = -1 + 1.5. What is the closest to 3 in i, 1, -2?
1
Let d = -23 + 43/2. Which is the nearest to d? (a) 0 (b) -0.1 (c) 0.1
b
Let h = 1.1 + -1. Suppose -8*w = -41 + 1. Which is the nearest to h? (a) 0 (b) w (c) 1
a
Suppose 2*t - 10 = -3*t. Let h = -449/174 + 7/87. What is the closest to 0.4 in h, -2/11, t?
-2/11
Let k be (-2)/20*-1378 + -3. Let z = k - 134. Let j = -0.1 - 0. What is the closest to j in z, -4, -0.3?
-0.3
Let u(k) = -k - 7. Let g(n) = n - 11. Let f be g(6). Let l be u(f). Let y = -104 - -104.1. Which is the closest to y? (a) 1 (b) l (c) 0.1
c
Let m(u) = 20*u**2 + 1. Let h be m(-1). Suppose -6 = 3*i - h, 0 = -2*l + i + 1. Which is the nearest to -1? (a) l (b) 4/5 (c) -0.1
c
Let t be -2 - (6/(-9) + -2). Let i = -0.03 + 0.23. Which is the nearest to 0.1? (a) t (b) i (c) -0.1
b
Let y = 1.22 + -5.11. Let m = y - 0.11. Which is the closest to 0.1? (a) 0.5 (b) -3 (c) m
a
Let c = -0.02 + -0.58. Let q = c - 1.4. What is the nearest to 0.2 in q, 0.4, 1/4?
1/4
Let x = 17 - 25. Suppose 0 = 2*h - 3*l - 18, 2*h + 4*l + 13 = h. Which is the closest to x? (a) -0.3 (b) h (c) 4
a
Let a be (-2)/8 - 21/(-4). Suppose 0 = -2*t + 6, 2*t = -4*l - 14. Let n(b) = b**3 + 5*b**2 - 4. Let f be n(l). What is the nearest to 0.1 in 2/7, a, f?
2/7
Let q = 16 + -16.18. Which is the closest to q? (a) 0.5 (b) -3 (c) -0.4
c
Let g = -66 + 70. Which is the nearest to 1/4? (a) 0 (b) -2 (c) g
a
Let d = -1.2 + -3.8. Let u = d + 5.4. Suppose -4*o + 1 = -3*z, 0 = -4*z + 4*o - 9*o + 40. Which is the nearest to 0.1? (a) z (b) -0.4 (c) u
c
Suppose -13 = -o - 2*b, -4*o = -b - 31 - 12. Suppose d - h = -2, -4*h = -3*d - 6*h - o. Let w = 1.94 - -0.06. What is the closest to -1 in d, -5, w?
d
Let t(l) = -2*l + 18. Let h be t(9). Which is the closest to h? (a) -5 (b) -0.1 (c) 2/13
b
Let a = 109 - 113. What is the closest to 0.1 in a, -2, -3?
-2
Let a = 0.4 + -5.4. Let w be -6*((-14)/3)/7. Let y be (3/(-2))/(3/5). What is the closest to -2/7 in w, y, a?
y
Let q = -48 + 238/5. Let h = 4 + -10. Let v = h + 4. What is the closest to v in -1/2, -3, q?
-3
Let y = 2/123 + 11/164. Which is the nearest to -0.2? (a) -1 (b) y (c) 0.3
b
Let | {
"pile_set_name": "DM Mathematics"
} |
t 17892 (base 15) to base 13.
288a7
1100011011011000101110 (base 2) to base 4
30123120232
Convert -6c26a (base 14) to base 9.
-442013
Convert 6724747 (base 8) to base 11.
1029122
What is -200122010202201 (base 3) in base 16?
-971cbf
1256547 (base 9) to base 2
10100111110000111110
31021 (base 15) to base 10
155281
522aa (base 11) to base 15
178be
Convert 3b533 (base 13) to base 2.
11011000010010001
200655465 (base 7) to base 5
10440110112
-222020221012221 (base 3) to base 6
-1215025341
What is 402035 (base 6) in base 12?
1631b
Convert -2303044 (base 6) to base 4.
-130221010
20311222 (base 4) to base 2
1000110101101010
What is -13622077 (base 8) in base 15?
-4105eb
Convert -5316787 (base 9) to base 12.
-b52b51
-132121300 (base 4) to base 12
-60094
444174 (base 8) to base 5
14242003
Convert 6b4c5 (base 13) to base 2.
101111111100010010
What is -da0b9e (base 15) in base 6?
-1010255005
What is 1111223021 (base 6) in base 5?
11044241314
What is 39732 (base 10) in base 4?
21230310
Convert -1300200343 (base 5) to base 15.
-41cc18
20029 (base 15) to base 9
163843
165199 (base 11) to base 5
31141111
-9b6b6 (base 13) to base 16
-44f0b
1240777 (base 9) to base 2
10100101001001000100
Convert -1b9ac1 (base 15) to base 12.
-550854
What is -13e93 (base 16) in base 13?
-2b176
Convert -10101000100101011100110 (base 2) to base 10.
-5524198
-111010001010100001011 (base 2) to base 4
-13101110023
-ab8020 (base 16) to base 8
-52700040
3033221 (base 4) to base 15
3e0e
Convert -22211301 (base 6) to base 3.
-1021001120001
Convert 31441304 (base 5) to base 13.
93934
-110011111010010 (base 2) to base 3
-1100110101
What is 48a275 (base 11) in base 13?
21197a
What is -a8944 (base 11) in base 13?
-5700b
What is 54431 (base 16) in base 2?
1010100010000110001
What is -13002202103 (base 4) in base 16?
-1c2893
What is 200011111 (base 3) in base 11?
9a4a
Convert 203011210 (base 6) to base 13.
957597
What is 18042448 (base 9) in base 6?
522124155
-36ab8 (base 12) to base 14
-1d04c
-a08608 (base 11) to base 2
-110001011111110000100
-1222010122 (base 3) to base 15
-b725
What is 10100101110001110 (base 2) in base 9?
138378
Convert -2540502 (base 8) to base 12.
-29ba82
5532554 (base 6) to base 5
32323234
Convert 10132202110 (base 4) to base 12.
487244
Convert -1201377 (base 8) to base 14.
-879a7
What is 1403154 (base 6) in base 2?
10011001010001110
42976c (base 13) to base 3
2221102111111
-11100011111010101 (base 2) to base 16
-1c7d5
12021200122 (base 3) to base 5
11312041
Convert 3089ba (base 16) to base 11.
1882a16
Convert 5b2c2 (base 16) to base 6.
12000522
227167 (base 9) to base 16
21511
Convert -21503653 (base 7) to base 9.
-3428811
What is 6311a6 (base 14) in base 4?
30300231332
-2ab42 (base 12) to base 15
-12d5b
Convert 513123 (base 10) to base 9.
861776
What is -14642436 (base 8) in base 15?
-465870
What is -1430014 (base 7) in base 14?
-5000b
What is 259340 (base 11) in base 7?
3315416
What is -61f7 (base 16) in base 7?
-133055
What is -102113401 (base 5) in base 7?
-3423164
Convert 320201132230 (base 4) to base 10.
14817196
Convert 11200211112222 (base 3) to base 12.
a04898
What is 2e7a3c (base 16) in base 11?
17a0514
Convert 28056c (base 15) to base 6.
105131533
-202011131 (base 4) to base 14
-38c45
What is 215333050 (base 6) in base 2?
1110111000001110110110
115808 (base 10) to base 15
244a8
Convert -12122120200211 (base 3) to base 8.
-13351573
What is -1304302 (base 6) in base 11?
-49348
What is -20000201021111 (base 3) in base 15?
-433e34
183110 (base 9) to base 13
3ca5c
Convert -2231101031 (base 4) to base 5.
-140202314
-696568 (base 10) to base 3
-1022101111211
dd858 (base 14) to base 15
a906b
-443927 (base 10) to base 16
-6c617
What is -10bba9 (base 14) in base 15?
-b3ead
-235605061 (base 7) to base 4
-320002230010
What is cc3b (base 14) in base 6?
431325
What is 1153645 (base 9) in base 14?
1241cd
Convert -10177371 (base 8) to base 4.
-20033323321
2252058 (base 10) to base 15
2e7423
What is -547a5 (base 11) in base 4?
-103122003
Convert 5555413 (base 8) to base 9.
2732616
What is 24662533 (base 7) in base 16?
22161d
Convert -7a983 (base 14) to base 16.
-48cf7
305323454 (base 6) to base 12
193658a
Convert 1213000012 (base 4) to base 7.
3405004
What is 488321 (base 10) in base 14?
c9d61
-201101201020 (base 3) to base 2
-1011101001101011010
What is -430596 (base 11) in base 9?
-1258814
-1112021122002 (base 3) to base 13
-225b12
101100221212 (base 3) to base 4
301310321
-131060 (base 8) to base 5
-2424431
What is 2152132 (base 7) in base 2?
1000000101010100100
What is 31113320101 (base 4) in base 12?
1210901
-103708 (base 10) to base 12
-50024
Convert 310000 (base 9) to base 7.
1363410
Convert 202414331 (base 5) to base 10.
826216
What is -9361aa (base 11) in base 7?
-15522604
Convert -1214443551 (base 6) to base 3.
-222020020221211
11011001100100001000011 (base 2) to base 6
412445203
18c515 (base 16) to base 3
10001110202212
What is 135d37 (base 14) in base 6?
22203005
Convert 6d73d (base 16) to base 9.
752870
What is -23113203130 (base 4) in base 12?
-bb86a4
What is 100011111101101100 (base 2) in base 9?
244055
Convert -13581231 (base 10) to base 15.
-12d4106
What is -a98a (base 14) in base 5?
-1414301
-140aa (base 15) to base 13
-23350
Convert -18085a (base 14) to base 13.
-238586
Convert -75885a (base 16) to base 8.
-35304132
-1533212 (base 7) to base 5
-23210043
-4560612 (base 10) to base 16
-4596e4
Convert 597774 (base 11) to base 12.
398231
13300010031 (base 4) to base 15
2a2090
Convert 92078 (base 11) to base 8.
406564
Convert -96ff2b (base 16) to base 7.
-150053335
Convert -6254507 (base 8) to base 11.
-a35142
-273014 (base 8) to base 7
-546113
What is 151286 (base 9) in base 11?
63815
792e01 (base 16) to base 12
27aba29
1651433 (base 8) to base 15
9736c
What is -142a5 (base 14) in base 8?
-141411
-501511235 (base 6) to base 5
-4133011343
What is -22385 (base 12) in base 11?
-31179
Convert -2013314 (base 6) to base 3.
-11211211101
What is 9d0cb3 (base 14) in base 9?
11042265
What is -2323c (base 14) in base 10?
-85510
221232134 (base 5) to base 6
32335332
10212002110 (base 3) to base 5
4412012
Convert -2940578 (base 10) to base 5.
-1223044303
-10001010001000011001000 (base 2) to base 9
-8457800
Convert 2445168 (base 9) to base 14.
268526
Convert -38670 (base 12) to base 13.
-29067
Convert 1748 (base 13) to base 15.
1045
Convert 418807 (base 9) to base 16.
3cd9c
What is 281925 (base 10) in base 5?
33010200
-822558 (base 10) to base 6
-25344050
-13622653 (base 8) to base 6
-150120443
Convert 474473 (base 14) to base 6.
124043325
Convert 54442241 (base 6) to base 12.
663381
-124200003 (base 6) to base 15
-3336cc
What is 201313311 (base 4) in base 3?
21001022120
Convert -130222154 (base 7) to base 6.
-453204232
What is 52255021 (base 6) in base 3?
2212000201111
What is 22626203 (base 7) in base 11?
113a291
What is 306905 (base 10) in base 9?
516885
511544 (base 6) to base 2
1001111010011000
-10c00b (base 13) to base 15
-7cc63
Convert 76a8395 (base 11) to base 5.
11430243013
Convert 1804215 (base 9) to base 15.
14d535
Convert d14079 (base 15) to base 9.
20623706
Convert -10201101100100 (base 3) to base 11.
-112a530
-10878428 (base 10) to base 8
-51376734
What is ea515 (base 16) in base 13?
277b11
Convert -2423003 (base 6) to base 11.
-87a04
Convert -189ba4 (base 13) to base 16.
-97beb
223113031 (base 4) to base 6
3450141
Convert 2430002 (base 5) to base 13.
179ca
53a234 (base 14) to base 16
2b3776
Convert 3433132 (base 5) to base 11.
42371
What is -103112023331 (base 4) in base 6?
-300411405
What is 19690b0 (base 12) in base 11?
3035263
32113323203 (base 4) to base 2
1110010111111011100011
What is -2876186 (base 9) in base 14?
-2d3c6a
-10031302123 (base 4) to base 7
-12251503
What is 132139 (base 14) in base 7?
5412502
Convert -747447 (base 8) to base 13.
-89820
What is -9c1492 (base 14) in base 4?
-110033023220
-7334025 (base 9) to base 2
-1110111100111111110000
Convert 16836 (base 16) to base 5.
10422324
1472761 (base 8) to base 5
102022114
Convert -12528a (base 13) to base 14.
-b6420
What is -182324 (base 11) in base 13?
-9b011
Convert 110120201002 (base 3) to base 8.
743536
Convert -23baa9 (base 14) to base 6.
-42114525
83ca4 (base 13) to base 8
717271
Con | {
"pile_set_name": "DM Mathematics"
} |
Let x(s) = s**3 + s**2 - 1. Let d(a) = h(a) - 3*x(a). What is the units digit of d(-1)?
8
Let n(q) = 5*q + 3. Let d(z) = -z. Let t(k) = -4*d(k) - n(k). Let r be t(-7). Suppose m - 2*a - 16 = -0*a, r*m + a = 73. What is the units digit of m?
8
Let j(q) = 3*q**2 + q - 2. Suppose 8 = -5*g + 2*c, 3*g + c + 5 = g. Let s be j(g). Suppose -6*x + 202 = -s. What is the units digit of x?
5
Suppose s + 5*j = 982, -2*j + 3*j + 1006 = s. What is the hundreds digit of s?
0
Suppose 2*i + 3*i = -3*d - 142, -d - 74 = -5*i. What is the tens digit of 9/d + 182/12?
1
Let z(j) = -17*j - 18*j - 5 + 25*j - 3. What is the tens digit of z(-28)?
7
Let k = 464 - 378. What is the units digit of k?
6
Let d be 168/(-4) - (-4 + 2). Let l = d - -56. Suppose 2*u - l = -2*u. What is the units digit of u?
4
Let k = 155 + -158. Let w(n) = -11*n**3 - 4*n**2 - n - 2. What is the hundreds digit of w(k)?
2
Suppose 5*g - 3630 = -2*n, 2*g - 2*n = 1329 + 137. What is the hundreds digit of g?
7
Let m(l) = -11*l - 6. Let v be m(-6). Suppose -y - 5*b = -v, -3*y + b + 4*b + 260 = 0. What is the tens digit of y?
8
Let t be (-78)/(-36) + (-2)/12. Suppose u - 51 = -t*f, 5*f = f + 5*u + 123. What is the tens digit of f?
2
Let a(u) = 2*u**2 - 26*u - 17. Let x(s) = -s**2 + 13*s + 9. Let d(t) = -4*a(t) - 7*x(t). What is the tens digit of d(11)?
2
Let i(j) = 2*j**3 - 10*j**2 - 39*j + 17. What is the hundreds digit of i(14)?
9
Let t = 476 - -1306. What is the tens digit of t?
8
Let o = -5 + 8. Let s(m) = -2*m - 10 - m**o + m + 10*m**2 + 0 - 9*m. What is the units digit of s(8)?
8
Suppose 5*p + 81 + 474 = 4*i, 5*p - 390 = -3*i. Suppose 3*x - 5*h + 4*h - i = 0, 4*h = 0. What is the units digit of x?
5
Suppose -10*o + 32852 = 8952. What is the tens digit of o?
9
Let h(x) = 8*x - 17. Let o(n) = 4*n - 2*n + 4*n - 9 - 2*n. Let t(c) = -3*h(c) + 5*o(c). What is the tens digit of t(-3)?
1
Suppose 0*f + 8 = 4*y - 4*f, 2*y - 24 = -2*f. What is the tens digit of ((-345)/(-35) + 3)*y?
9
Let o be (-2)/((-6)/81*3). What is the tens digit of 3/o - (-2 - 3040/15)?
0
Let d(t) = -8*t**2 + 3*t + 6. Let u(j) = -4*j**2 + 2*j + 3. Let q(s) = -4*d(s) + 7*u(s). Suppose 10*c + 3 = 9*c. What is the tens digit of q(c)?
2
Suppose -19 = 4*t + 5. Let n = t - -10. Suppose -n*j + 5*j - 22 = 0. What is the units digit of j?
2
Let r = 1022 + 385. What is the tens digit of r?
0
Let w = -11 + 8. Let p be w/9*138/2. Let o = -16 - p. What is the units digit of o?
7
Let u(c) = -8*c + c + c**2 - 8 - 3*c**2 + c**2. Let v be u(-6). What is the tens digit of 38 + 6 - (0 + v)?
4
Let f(j) be the first derivative of j**3/3 - 11*j**2/2 + 16*j + 1. Let i = -244 - -255. What is the tens digit of f(i)?
1
Let p be 2 + -2 + 2 - -9. Suppose 0 = p*q - 8*q - 378. What is the tens digit of q?
2
Let l(m) = -12*m - 37. What is the hundreds digit of l(-17)?
1
Let h be 4/8*(-264)/(-2). Let t be h/2 + (-1 - 0). Suppose t + 16 = 3*d. What is the tens digit of d?
1
What is the tens digit of 396 + (-19)/((-76)/(-24))?
9
Suppose -10*i + 14*i + 2*u = 11110, 3*i - 8313 = 5*u. What is the tens digit of i?
7
Let i = 2307 - -1263. What is the thousands digit of i?
3
Let s = -1716 + 2950. What is the units digit of s?
4
Suppose 26 - 4726 = -5*r + 2*h, 4*h = -r + 940. What is the units digit of r?
0
Suppose -4370 = -5*u + 3005. What is the units digit of u?
5
Let j(d) = 14 - d - 3 - 9 - 8*d. What is the tens digit of j(-6)?
5
Let g = 20 + -28. Let o be (2/g)/((-10)/200). Let x = 1 + o. What is the units digit of x?
6
Let w(q) = 4*q**3 - 3*q**2 - 8*q - 20. Let z(f) = 11*f**3 - 10*f**2 - 23*f - 59. Let o(b) = 8*w(b) - 3*z(b). What is the units digit of o(7)?
3
Let i(n) = -n**3 + 4*n**2 + 6*n - 3. Let f be i(5). Suppose -4*g = f*o - 8*g + 12, 0 = 2*o - 3*g + 7. What is the units digit of ((-400)/(-24))/(o/18)?
5
Suppose -24 = -5*i - 14. Suppose 0*l = -i*l - 56. What is the units digit of l/(-42) - 28/(-3)?
0
Let o(g) = -3*g**2 + 5*g - 6. Let p(f) = -f**2 + 2*f - 3. Let x(j) = -2*o(j) + 5*p(j). Let b be ((-10)/12)/(-1 + 20/24). What is the tens digit of x(b)?
2
Let d be ((-2)/3)/(6/(-234)). Suppose 3*s - d = 2*s. What is the units digit of s?
6
Let b = 896 + -472. Suppose 3*n + b = o, -4 = -3*o - 1. Let w = -96 - n. What is the units digit of w?
5
Suppose 1336 = 3*c + 427. Let j = c + -131. What is the hundreds digit of j?
1
Let w(h) = h**3 - 7*h**2 + h - 7. Let v be w(7). Suppose 6 = 3*m - v*m. Suppose 5*y = m*y + 3. What is the units digit of y?
1
Let o(v) = 5*v**2 + 7*v + 1. Suppose 6*h - 3*h + 9 = 0. What is the tens digit of o(h)?
2
Suppose -2*j + 12 = j - 3*a, 0 = 4*j + 4*a - 56. Let s = -7 + j. What is the units digit of 38 + 8/s - 1?
1
Suppose 33*z = 32*z + 2*t + 952, 5*t = -25. What is the tens digit of z?
4
Let v(a) = 41*a + 248. What is the thousands digit of v(36)?
1
Suppose 0*t = -t + 19. Let p(h) = -h - 20. Let c be p(-6). Let r = c + t. What is the units digit of r?
5
Let u = -799 + 1385. What is the hundreds digit of u?
5
Let k = 47 + 27. Let h = k + -29. What is the tens digit of h?
4
Let u = -15 - -18. Suppose 0 = -3*f - 3, u*t + f - 290 = 3*f. What is the tens digit of t/18*9/4?
1
Let r = -17 - -122. Let m be 2/(-4) - r/(-14). Suppose m*h = 4*h + 114. What is the units digit of h?
8
Suppose 0 = 5*c - 4*c. Suppose -a - 4*r - 26 = c, 4*a - r = -6*r - 82. Let b = a - -32. What is the tens digit of b?
1
Let o(t) = -t**3 + 5*t**2 + t - 2. Suppose 5 = -5*g - m, -2*m + m - 5 = 0. Let u = g + 4. What is the units digit of o(u)?
8
Suppose -3*z = -2*z - 2*x - 1651, 0 = -3*z - 3*x + 4944. What is the hundreds digit of z?
6
Let y(z) = -z**2 - 12*z + 10. Let j(m) = m**2 + 2*m - 11. Let l be j(-5). Suppose -56 = 4*a - 2*i, -l*a + 2*i - 28 = 7*i. What is the units digit of y(a)?
0
Suppose -13*v = 15*v - 112392. What is the thousands digit of v?
4
Suppose -4*q + 4*i = 12, -4*i + 3*i + 1 = q. What is the tens digit of ((6/9)/2)/(q/(-111))?
3
Let l = -81 + 79. What is the tens digit of (-69)/6*(-1 + (l - 9))?
3
Let n(u) = -u**3 + 2*u**2 + u - 1. Let h(s) be the third derivative of -s**4/24 - 2*s**2. Let y be h(-2). What is the units digit of n(y)?
1
What is the units digit of ((-5352)/30)/((-2)/10)?
2
Let x be 2 + (-3 - (2 + -4)). What is the hundreds digit of x/(-4) - (3 - 2991/12)?
2
What is the tens digit of (((-1524)/(-8))/3)/(5/20)?
5
Let p = 3 - 0. Suppose 80 = -q - p*q. Let v = q - -47. What is the tens digit of v?
2
Let q be (-9)/((-45)/2) + 2336/(-40). Suppose -v + 39 = -2*v. Let s = v - q. What is the units digit of s?
9
Suppose -5*f = -9*f + 2144. What is the tens digit of f?
3
Let v(c) = -15*c + 4. Let u be v(-2). Suppose 3*o = 208 - u. What is the units digit of o?
8
Let v = -213 - -269. Suppose -2*u + 0*s + 4*s + 18 = 0, 3*u + 4*s = -3. Suppose -n + 67 = u*h, 0 = -0*h - 2*h + 5*n + v. What is the tens digit of h?
2
Let l = 15 - 10. Let k be 2/(l/(-2) + 3). Suppose k*b = 88 + 112. What is the tens digit of b?
5
What is the units digit of 1*(-1)/5 - 864/(-45)?
9
Suppose 7 = 3*j - 3*w + w, -2*j + 2*w + 2 = 0. Suppose -j*a + 60 = -60. Suppose -u = u - a. What is the units digit of u?
2
Let s = 124 + -119. Suppose -s*y + 354 = 5*p + 29, 129 = 2*y + p. What is the tens digit of y?
6
Let n be (-3)/2 - (17/(-2) - -2). Suppose -n*u - 176 = -j, -145 = -3*j + u + 327. What is the tens digit of j?
5
Suppose -2 = -2*o + 2*v, 4*o - 3 = 5*v - 0. Suppose -2*l + o + 4 = 0. Suppose 5*g + 4*x = -0*x + 269, 3*x = l. What is the units digit of g?
3
Let y = 1708 - 707. What is the units digit of y?
1
Let s = 49 + -43. Suppose -4*p - 218 = -s*p. What is the tens digit of p?
0
Suppose -119 = 8*f - 23. Let h(q) = -q**2 - 15*q - 19. Let k be h(f). Suppose s = 4*o - o + k, 2*s + 4*o - 74 = 0. What is the units digit of s?
9
Suppose -4*c + 29 = z, -4*z + 2*c + 60 = 16. What is the units digit of z?
3
Suppose 29 - 353 = -27*w. What is the tens digit of w?
1
Suppose 17 + 82 = -9*s. Let k(c) = c**3 + 12*c**2 + 9*c + 15. What is the units digit of k(s)?
7
Suppose 4*n = -2*p + 1896, n + 952 = 3*n - p. What is the hundreds digit of n?
4
Suppose -40 - 6 = 2*r. Let z = r + 99. What is the tens digit of z?
7
Suppose -4 = -2*z + 2. Suppose 5*y + 2*w + w - 64 = 0, z*w + 35 = 4*y. Suppose -y*k = -6*k - 115. What is the tens digit of k?
2
Let o(r) = -351*r - 297. What is the hundreds digit of | {
"pile_set_name": "DM Mathematics"
} |
w(d))?
-4*d**2
Let h(x) = -x + 162. Let q(y) = 109*y. Give q(h(s)).
-109*s + 17658
Suppose 2 = -2*n - 8. Let t(r) = 11*r + 8. Let w(i) = 7*i + 5. Let c(u) = n*t(u) + 8*w(u). Let b(o) = -79499*o + 79503*o + 0 + 0. Determine c(b(z)).
4*z
Let q(i) = 9*i - 13. Let n(z) = -4*z + 6. Let p(r) = -13*n(r) - 6*q(r). Let f(t) = -t**2 + 5*t. Give f(p(d)).
-4*d**2 - 10*d
Let m(b) = 198*b. Let x(f) = -96*f - 4. Determine m(x(l)).
-19008*l - 792
Let o(f) = 21*f**2 - 15*f - 5. Let u(g) = 23*g**2 - 12*g - 4. Let i(s) = 4*o(s) - 5*u(s). Let c(q) = -2*q. Give c(i(v)).
62*v**2
Let l(d) = 2*d. Suppose 0*u + 2*u - 24 = 0. Let p(a) = -u*a**2 + 8*a**2 - 6*a**2. Calculate l(p(v)).
-20*v**2
Let o(x) = 9*x - 2*x - 4*x. Let z(w) = 2*w**2 + 6*w + 3. Let v(h) = 2*h + 1. Let k(a) = -3*v(a) + z(a). Give k(o(p)).
18*p**2
Let z(w) = w - 1. Let d(x) = -3*x**2 - 4. Let c(u) = -d(u) + 4*z(u). Let n(t) = t**2. Calculate n(c(r)).
9*r**4 + 24*r**3 + 16*r**2
Let w(h) = h. Let c(i) = 12569*i. Determine c(w(u)).
12569*u
Let s(k) = 26*k + 40273 - 40273. Let c(v) = v**2. Determine c(s(r)).
676*r**2
Let j(x) = 2*x**2. Suppose s - 2*n - 3*n - 8 = 0, 2*s - 6 = 5*n. Let z be 2/(-3)*9/s. Let c(t) = -3*t - z*t**2 + 3*t - t**2. What is j(c(y))?
32*y**4
Let l(a) = -33862*a**2. Let r(h) = 37*h. Give r(l(u)).
-1252894*u**2
Suppose 3*m + 5*n = 72, 4*m - 3*n = -7*n + 104. Let i(z) = m*z - 12*z - 8*z. Let q(p) = -4*p**2. What is q(i(y))?
-324*y**2
Let h(t) = 38*t. Let b(u) = 18981*u**2. Give h(b(m)).
721278*m**2
Let o(a) = 0*a - 4*a + 0*a. Let d(r) = -443*r**2 + 148*r**2 + 145*r**2 + 148*r**2. Calculate o(d(x)).
8*x**2
Let j(m) be the first derivative of -2 + 3/2*m**2 + 0*m. Let k(n) = -19*n**2. Calculate j(k(q)).
-57*q**2
Let n(w) = 3*w. Let l(k) = 37*k - 69*k + 34*k. Let f(c) = 8*l(c) - 5*n(c). Let y(t) be the first derivative of t**3/3 + 1. Determine y(f(s)).
s**2
Let p(v) = 2*v. Let j(g) = 35 - 300*g - 68 + 33 - 269*g. Calculate p(j(a)).
-1138*a
Let n(g) = 160 + 8*g + 170 - 331. Let s(x) = -2*x**2. What is n(s(i))?
-16*i**2 - 1
Let k(b) = 2*b**2. Let i(j) be the second derivative of -4*j + 5*j**3 + 3*j - j**3. What is k(i(g))?
1152*g**2
Suppose -3*b = -4*p - 0*b + 10, 3*p - 4*b = 4. Let o(d) = p - 4 + 7*d. Let i(t) be the second derivative of t**3/3 + 11*t + 2. Calculate o(i(v)).
14*v
Let o(j) = -j**2. Suppose 3*k = 27 - 9. Let q(u) = 3*u + 0*u - k*u + 13*u. What is q(o(a))?
-10*a**2
Let j(y) = -y. Let b(h) = -23*h. Let m(z) = -b(z) + 46*j(z). Let q(g) be the first derivative of -2*g**3/3 + 2. Give q(m(n)).
-1058*n**2
Let j(k) = 0*k**2 + 0*k**2 - 3*k**2 + 0*k**2. Let w(t) be the first derivative of -6 + 0*t - 3/2*t**2. Give j(w(d)).
-27*d**2
Let b(k) = 2*k + 254. Let w(u) be the first derivative of -u**2 + 116. Calculate b(w(s)).
-4*s + 254
Let z(l) = -2*l. Let n(o) = 1447336*o. Calculate z(n(b)).
-2894672*b
Let w(p) be the first derivative of p**3 - 78. Let n(q) = 3*q**2. Let r(h) = h**2. Let z(f) = -3*n(f) + 5*r(f). What is w(z(x))?
48*x**4
Let x(o) be the third derivative of o**5/20 - 15*o**2 - 3. Let s(q) = 61*q**2 - q. Determine s(x(j)).
549*j**4 - 3*j**2
Let a = -4 + 6. Let c(t) = 226*t**2 + 0 + 0 - 243*t**a. Let v(y) = 3*y. What is c(v(l))?
-153*l**2
Let d(c) be the second derivative of c**4/4 + 7*c. Let s(w) be the third derivative of w**5/12 - 11*w**2. Give s(d(j)).
45*j**4
Let f(i) be the second derivative of i**3/3 + 5*i. Let l(o) = o**2 + 3*o + 2. Let s be l(-4). Let d(v) = -6*v + 6*v - s*v. Calculate d(f(c)).
-12*c
Let c(r) = 3143 + 2*r - 3143. Let s(d) = 21*d - 7*d + 44*d - 8*d. Give s(c(x)).
100*x
Let g(u) = -14*u. Let v(o) be the second derivative of -o**4/3 - 11*o + 1. Determine v(g(r)).
-784*r**2
Let i(c) = 7*c + 9. Let d(b) = -25024*b. Give d(i(w)).
-175168*w - 225216
Let p be (-6)/(-5)*(-90)/(-54). Let h(x) = 24 - 24 - 2*x**2 + 0*x**p. Let u(a) = -3*a + 4 - 4. What is u(h(t))?
6*t**2
Let c(w) = -34*w. Let b(u) be the first derivative of -3*u**3 + 5*u**2/2 + 5*u - 9. Let j(f) = -4*f**2 + 2*f + 2. Let m(l) = -2*b(l) + 5*j(l). What is m(c(k))?
-2312*k**2
Let u(x) = -8*x**2. Let h(q) = -1228*q**2. Determine h(u(c)).
-78592*c**4
Let u(l) = -24*l**2. Let f(p) = 5*p**2 + 22074*p - 22074*p. Give f(u(m)).
2880*m**4
Let u(k) = -5*k**2 + 0*k**2 + 16*k**2 - 9*k**2. Let q(j) = 8*j + 6. Let w(f) = -8*f - 5. Let g(b) = 5*q(b) + 6*w(b). Calculate g(u(y)).
-16*y**2
Suppose -o - o = 4. Let g = o - -4. Let q(h) = -g*h + 4*h - 7*h**2 - 2*h. Let s(a) = -2*a. What is s(q(d))?
14*d**2
Let t(v) = -v**2. Let q(k) be the second derivative of -7/6*k**3 + 0*k**2 + 20*k + 1/6*k**4 + 0. What is q(t(y))?
2*y**4 + 7*y**2
Let a(y) be the second derivative of 0*y**3 - 9*y + 0 + 0*y**2 - 2/3*y**4. Let l(b) = b**2. What is a(l(x))?
-8*x**4
Let s(n) = -5402*n**2 - 29. Let j(q) = q. Determine j(s(y)).
-5402*y**2 - 29
Let c(z) = -647*z + 219*z + 208*z + 1 + 208*z. Let w(a) = -8*a. Determine c(w(x)).
96*x + 1
Let p(x) = 11*x. Let i(z) = -1 + z - 5*z + 7. Let c(d) = -3*d + 148 - 70 - 73. Let g(u) = -6*c(u) + 5*i(u). Calculate p(g(l)).
-22*l
Let h(r) = 6*r**2. Let f be ((-16)/20)/(3/(-15)). Let m(d) = 2*d. Let p(u) = -11*u. Let o(a) = f*m(a) + 2*p(a). What is h(o(s))?
1176*s**2
Let j(u) = 6*u. Let i(c) = 20593*c. Give i(j(z)).
123558*z
Let y(n) = -9302*n**2. Let o(w) = -3*w. What is y(o(g))?
-83718*g**2
Let u(q) = -2*q - 62. Let h(w) = 60*w**2. Calculate h(u(c)).
240*c**2 + 14880*c + 230640
Let u(l) be the first derivative of -l**5/20 + 15*l**2/2 + 6. Let c(r) be the second derivative of u(r). Let q(o) = -o. Give q(c(n)).
3*n**2
Let l(a) = -2*a. Suppose 8*d - 14 - 2 = 0. Let i(t) = -d*t + 3*t - t - t. Give i(l(z)).
2*z
Let w(v) = -207*v**2 - 215*v**2 + 440*v**2. Let o(n) = -14*n. What is o(w(h))?
-252*h**2
Let y(m) = -16*m**2. Let q(b) = -168*b**2 + 35*b + 70. Let z(j) = -10*j**2 + 2*j + 4. Let o(r) = -2*q(r) + 35*z(r). What is o(y(d))?
-3584*d**4
Let y(h) = -39*h**2 - 3. Let r(m) = 18*m + 5. Let i(q) = -14*q - 4. Let j(z) = 5*i(z) + 4*r(z). What is y(j(v))?
-156*v**2 - 3
Let v(m) = 202*m**2. Let k(n) = 65*n**2 - 4*n. What is k(v(t))?
2652260*t**4 - 808*t**2
Let z(q) = 3*q. Suppose 0*h + h + 63 = 4*x, -10 = -2*h. Let c(n) = -16*n - 17 + x + 25*n. Calculate c(z(t)).
27*t
Let y(x) = -17082*x - 1. Let v(j) = -64*j. What is v(y(c))?
1093248*c + 64
Let d(g) be the first derivative of -g**3/3 - 13. Let t(o) = 15*o - 12. Let y(u) = 646*u - 513. Let w(j) = 171*t(j) - 4*y(j). What is w(d(h))?
19*h**2
Let a(f) = -2*f. Let i(j) = -1041*j**2 - 981*j**2 + 2073*j**2. What is i(a(l))?
204*l**2
Let b(h) = 129*h. Let g(v) = -1036*v. What is g(b(x))?
-133644*x
Let m(y) be the second derivative of 7*y**4/12 - y**3/3 + 2*y - 276. Let h(g) = -2*g. Calculate m(h(z)).
28*z**2 + 4*z
Let k(y) = -4*y**2 - 2*y + 4. Let v(l) = 9*l**2 + 5*l - 10. Let d(m) = -5*k(m) - 2*v(m). Let g(x) be the second derivative of x**4/12 + x. Give d(g(p)).
2*p**4
Let r(j) = -327*j. Let x(v) = 54*v. Calculate x(r(b)).
-17658*b
Let s(k) = 38*k + 2. Let q(f) = 401*f**2. Calculate s(q(z)).
15238*z**2 + 2
Let m(b) = -15*b. Let w(y) be the second derivative of 0 - 5*y + 1/6*y**3 + 0*y**2. Determine w(m(q)).
-15*q
Let k(n) = -n**2. Let y(v) = 4*v**2 + 30482. Give y(k(h)).
4*h**4 + 30482
Let r(p) = -28*p - 1. Let u be r(-1). Let n be (-1 + 9)*u/18. Let b(o) = 36 - 36 + n*o. Let w(t) = t. Determine b(w(f)).
12*f
Let f(t) = -78*t**2 + 27*t + 27. Let m(s) = -6*s**2 + 2*s + 2. Let y(o) = -2*f(o) + 27*m(o). Let u(d) = 3*d. Give u(y(w)).
-18*w**2
Let a(r) = 17*r - 334. Let i(l) = -l**2. Calculate a(i(p)).
-17*p**2 - 334
Let w(o) = -6*o - 8. Let n(p) = -13*p**2 + 15*p - 5. Let s(t) = 11*t**2 - 12*t + 4. Let d(f) = -4*n(f) - 5*s(f). What is w(d(g))?
18*g**2 - 8
Let v(n) = -13*n**2. Let l(y) = y. Let z(g) be the second derivative of -g**3/6 + 22*g. Let p(f) = -5*l(f) - 6*z(f). Calculate p(v(h)).
-13*h**2
Let a(f) = 3*f - 22. Let y be a(8). Let q(n) = 6*n + y*n - 17*n + 7*n. Let z(v) = -v**2. Give q(z(s)).
2*s**2
Let a(b) be the third derivative of -b**4/12 - b**2. Let i(y) be the second derivative of -17*y**4/6 - 192*y. Calculate i(a(c)).
-136*c**2
Let u(h) = -4*h + 18. Let a(f) = 37*f**2. Give a(u(j)).
592*j**2 - 5328*j + 11988
Let w(x) = x + 2. Let f(b) = -2*b**2 + 4*b. Give f(w(d)).
-2*d**2 - 4*d
Suppose -331 - 87 = -11*l. Let c(y) = -l*y**2 - 37*y**2 + 78*y**2. Let t(b) = | {
"pile_set_name": "DM Mathematics"
} |
- 1. Let j be g(-4). Suppose s - 156 = -3*t + 5*s, 5*s - 104 = -2*t. Let k be (784/t)/7 + (-2)/13. Solve 0 = -k*f - j*f + 5 for f.
1
Let j = -10 - -2. Let q be 1/(8/7 - (-7 - j)). Suppose q*s - 3*s = 8. Solve 2*c + s = 4*c for c.
1
Let g = -1 - -1. Let u = -32939 + 32966. Suppose g = -u*l + 20*l. Solve l = b - 1 + 5 for b.
-4
Let o be -1*2/(-4) - (-18846)/(-108). Let g = o + 180. Solve -2*d = -g*d + 4 for d.
1
Suppose -4*f - 12 = 0, 2*c - 20 = -0*f + 4*f. Let a = c - -14. Let q = a - 16. Solve q*y = -2*y - 16 for y.
-4
Let a = 51 + -43. Let r be (-18)/2*a/(-36). Suppose -r*p + 9 = -31. Solve 2*o = -2*o + p for o.
5
Let z(q) = -q**2 + 32*q - 26. Let a be z(31). Suppose 3*d + k - 7 - a = 0, 0 = -4*d - 3*k + 11. Solve d*n - 3*n = 6 for n.
3
Let r(c) = c**2 - 20*c - 67. Let d be r(23). Solve 15*n = 17*n + d for n.
-1
Let c be 2 + 6/4 + 7/(-14). Suppose -q - 3*w = 25 - 1, 0 = -c*w + 6. Let n = q - -32. Solve 8 - n = 3*o for o.
2
Let j = -79 + 123. Let f = -41 + j. Suppose -2*s = 2*o - 3 - 7, -f*o = s - 11. Solve 2*d + 0*d = s for d.
1
Let g = -16691 + 16740. Solve -752*d + 745*d - g = 0 for d.
-7
Suppose 48 - 15 = -3*i. Let p(g) = -g**2 - 11*g + 11. Let d be p(i). Suppose 15*z - d*z = 24. Solve 5*h - 1 = -z for h.
-1
Suppose 135*a = -982 + 1657. Solve -a*t + 27*t = 154 for t.
7
Suppose 0*k = -k + 3. Suppose -2*x = 2*p + x - 15, 3*p - 2*x = 3. Suppose 5*u + p*o = 12, 0 = -3*u + 6*u - k*o - 12. Solve u = 2*n + n for n.
1
Let r be 56/10*20/8. Let k be (-24)/15*(-140)/(-728) - (-424)/26. Solve k = w + r for w.
2
Suppose 6*f - 3*f - 299 = -10*f. Solve f*m + 32 = 15*m for m.
-4
Let q be ((-48)/30)/(2/5). Let g(z) = -z**3 - 6*z**2 - 7*z + 6. Let n be g(q). Suppose -f + 3*f = -n*t, -2*f + t = -15. Solve -f*r - 5 = -0*r for r.
-1
Let y(r) = -2*r**2 + 14*r - 9. Suppose 2*b - 26*b + 96 = 0. Let d be y(b). Solve 0 = -0*l - 3*l + d for l.
5
Let j(f) = -5*f**3 - 4*f**2 + 27*f + 28. Let a(q) = -14*q**3 - 13*q**2 + 80*q + 84. Let u(v) = -4*a(v) + 11*j(v). Let p be u(-10). Solve 0 = -3*r + p - 5 for r.
-1
Let g be 2/4 + 2/(9 - 5). Suppose 0 = j + d - 3, -2*j + g = 5*d - 11. Solve -a + 0 = -j for a.
1
Let q(z) = -z**3 - 5*z**2 - 3*z + 10. Let n be q(-4). Suppose -3*u = n*u - 6*u. Suppose -3*h - 16 = -4*j, u = 3*h - 2*j + 6*j - 16. Solve -8 = -h*t + 4*t for t.
-2
Let n be ((-39)/((-2535)/26))/((-2)/(-25)). Solve n*w + 404 = 384 for w.
-4
Let f(q) = -q**2 - 12*q + 19. Let k = 94 + -107. Let v be f(k). Solve 2*j - v = -14 for j.
-4
Suppose 114 = 17*d + 46. Suppose -2*x - 3*m - 16 = -4*x, -d*x = -m - 12. Solve x = -4*c - 2 for c.
-1
Suppose -4*n + 1837 = 4*i - 7*n, 0 = 5*n - 25. Solve 451*s = i*s + 48 for s.
-4
Let y be 122/12 - ((-38)/(-12) - 3). Let z be (-1 + y/6)/((-16)/(-72)). Suppose 0 = z*o - 4*o + 2. Solve -o*s - 3*s = -10 for s.
2
Let z(a) = 50*a**2 - 2*a. Let x be z(2). Suppose 5*m + x = -4. Let g be 6/(-10) - -26*(-4)/m. Solve 2 = t - g for t.
4
Let b(t) = 108*t**3 + t**2 - 10*t - 10. Let x be b(-1). Let k = x - -107. Solve l + 3 + 2 = k for l.
-5
Suppose 198 - 158 = 8*m. Suppose -40 + 60 = m*r. Solve -p - r = -1 for p.
-3
Let y = 0 + 0. Let v be ((-695)/(-25) + -3)*-10. Let q = v - -254. Solve q = -2*o - y*o for o.
-3
Let s be -7*11/(-154)*1*30. Suppose 5*z = 3*b + s, -3*b = -3*z + 2*b + 9. Solve -5*t + 6*t = z for t.
3
Let g = 58 + -34. Suppose -g*z = -26*z + 2. Suppose z - 5 = -f. Solve 0*i + f*i = 0 for i.
0
Suppose 103 = -5*l + 108. Let m be 0 - (-12)/(1 + l). Solve 0 = 2*k - m - 2 for k.
4
Let a be (30/(-5))/(0 - 3/2). Suppose 18 = 5*w + l, 0 = w + a*l - 3 - 12. Suppose -w*t - 3*n = -45, 3*t = 2*n + 69 - 24. Solve -2*g + 7*g + t = 0 for g.
-3
Let y be ((-6)/(-12) - 2)*-12. Solve -y*o = -22*o - 16 for o.
-4
Let k = -227 - -231. Let z be k/(24/55) + 23/(-138). Solve 31 + z = -10*r for r.
-4
Let c(q) be the third derivative of -q**5/30 + 7*q**4/12 + q**3 - 4*q**2 + 15*q. Let w be c(7). Solve 18 = -w*n - 0*n for n.
-3
Let z be 3/((-6)/(-60)*2). Let x(s) = s + 5. Let v be x(3). Suppose v = t + 4. Solve t*o + o = -z for o.
-3
Let h be (13872/(-1445))/(1/(-5)). Solve 0 = 7*n - 23*n + h for n.
3
Suppose -62*a = -8*a + 64*a + 11446. Let p = 123 - 232. Let l = a - p. Solve -4*b = -0*b - l for b.
3
Let g = 8911 - 8847. Solve -21*w = 20 + g for w.
-4
Suppose 0 = 45*y - 3*y - 5460. Solve 4 = -126*u + y*u for u.
1
Let o = -217 - -237. Suppose -o*d - 126 = -346. Solve 0 = 4*v - 9 - d for v.
5
Let s(y) = -y**3 - 34*y**2 - 87*y + 227. Let a be s(-31). Solve a = -14*k + 27 for k.
-1
Suppose -z - 1981 = 5*p - 0*p, 4*p + z + 1584 = 0. Let a = p - -403. Suppose 0 = s - 2*s. Solve s*g - a = -2*g for g.
3
Let i be (-23)/(230/(-3840)) + (-1 - -2). Let j = -381 + i. Solve -j*u = -13*u + 9 for u.
1
Let u(p) = 11*p**3 + p**2 - p + 2. Let m be u(1). Suppose -m*l = -2*l - l. Solve 9*v - 45 + 9 = l for v.
4
Suppose 8*l + 5*l + 69 = 368. Solve 3*t = 32 - l for t.
3
Suppose -6*t = 4*a - t - 95, -155 = -5*a + t. Suppose -12*n - a + 162 = 0. Solve 0 = y + n - 13 for y.
2
Let x(c) = c**3 + 17*c**2 + 66*c + 2. Let u be x(-11). Suppose -20 = -s + 5*s, -44 = -4*n + 4*s. Solve -5*f - n = -u*f for f.
-2
Let p(u) = 3*u**3 + 32*u**2 + 19*u + 3. Let y be p(-9). Solve y*z = 245*z + 64 for z.
-8
Let m = 11627 + -11603. Solve 0 = -1713*w + 1710*w - m for w.
-8
Let b(o) be the third derivative of -o**6/120 + o**5/30 + o**3/6 + 37*o**2. Let p be b(2). Suppose h = 2*w, -w + 2*h - p - 5 = 0. Solve w = -2*m + 3*m for m.
2
Suppose -36*c + 15 = -33*c, 0 = 4*y - 3*c - 245. Solve -5*t = 70 - y for t.
-1
Let a(x) = 2*x**3 - 39*x**2 - 339*x + 37. Let k be a(26). Solve -k = m - 15 for m.
4
Suppose -5*f - 109 = -4*l, -5*f - 130 = -0*l - 5*l. Suppose 0 = 51*u - 44*u + l. Let y be 13 - 13 - (u + -2). Solve -y = 7*g - 12*g for g.
1
Suppose -5*p - 20*w + 24*w + 4 = 0, -2*w - 4 = -3*p. Solve -p*d - 2*d = 18 for d.
-3
Let q = -13533 + 13543. Solve q*n - 540 = 100*n for n.
-6
Suppose -5*n = -2*r + 37, -3*r - r + 5*n + 99 = 0. Let h = -8 + r. Let g(t) = 306*t + 2145. Let x be g(-7). Solve 8 = x*y + h for y.
-5
Suppose 2*r + u - 6 = 2*u, -r + 2*u = 0. Suppose -68 = r*p - 68. Let y be (-3)/(3 + p)*0. Solve z + z = y for z.
0
Let q = -12317 - -12434. Solve -93*v + q*v = 0 for v.
0
Let u = -522 - -531. Suppose -15 = -u*o + 10*o + 3*a, 0 = 4*o - 5*a - 25. Solve 2*k - 12 + 8 = o for k.
2
Suppose 5*o - 13 = 4*k - 0*k, 4*o + 3*k = -2. Let h = -132 + 140. Suppose -v = -h + 5. Solve o = -2*i - v for i.
-2
Let f be ((-27)/(-4))/(2/8). Let r(t) = t**3 + 63*t**2 + 8*t + 533. Let n be r(-63). Let q = n - f. Solve q*l + 0 - 2 = 0 for l.
1
Suppose -14 = z + 191. Let u = z - -205. Solve -4*j = -u*j + 12 for j.
-3
Suppose 47 = -50*l + 54*l + 5*z, -10*l = -2*z - 16. Solve 0 = l*k + 4 - 1 for k.
-1
Let i = 43 + -26. Let a = 19 - i. Solve 0 = -8*r + a*r - 24 for r.
-4
Let p be (-3)/(-12) + 25/40*-58. Let k be ((-9)/p*0)/(1*2). Let u(g) = -g**2 + 2*g + 12. Let o be u(k). Solve 3*n = 3 + o for n.
5
Let o(b) = 280*b + 2884. Let f be o(-10). Solve -f = -9*v - 12 for v.
8
Let w = -574 + 577. Suppose w*f = -m + 11, 17*f - 1 = 14*f + m. Solve -f = 3*d + 7 for d.
-3
Suppose 52*q = 809 - 81. Solve 0 = -2*j - 18 + q for j.
-2
Suppose -4*t + g - 1 = 1, 6 = -4*t + 3*g. Solve t = 16*a + 24*a - 240 for a.
6
Let b(p) = p**3 + 53*p**2 + 16*p + 849. Let i be b(-53). Let u(s) = s**2 - 7*s + 4. Let h be u(7). Let q = h + 5. Solve i + q = 5*c for c.
2
Suppose 0 + 3 = v + 4*f, 0 = f - 3. Let a = -7 - v. Suppose 3*i + 15*i - i = 0. Solve -m + i = a for m.
-2
Suppose 21 = -485*x + 506*x. Let u = -4 - -4. Suppose -3*j + 7 = 4*b - 2, 3*b - 3*j - 12 = u. Solve b*c - 16 + x = 0 for c.
5
Let w = 75314 + -75295. Let m = -2 + 7. Solve -7*s = -m + w for s.
-2
Let v(r) = 4*r - 8. Suppose -3 = -i - 0*i. Let c be v(i). Suppose 0 = -4*p - 0*n + 5*n + 10, 0 = -3*p + 5*n + 10. Solve -c*s + p*s + 20 = 0 for s.
5
Suppose 95*s + 6 = 3*k + 98*s, 2*s = 4. Solve -2*n = 3*n - k*n for n.
0
Suppose 38 = -7*a + 276. Suppose 37*r - a*r = 9. Solve r*v = 5 - 14 for v.
-3
Let y be 4/((-3)/(-1) - 70/24). Let n = y + -51. Let c be (n/4)/(-4 - (-30)/8). Solve -2*h = h - c for h.
1
Let u(i) = -2*i**2 - i + 2. Let j be u(-8). Let g = -115 - j. Suppose 4*z = -5*q + 1 + 28, z - g*q = 3. Solve -d = 2*d - z for d.
2
Let t be (4/6)/((-4)/(-402)). Let r = -65 + t. Let f(c) = c**3 - 3*c**2 + 4*c | {
"pile_set_name": "DM Mathematics"
} |
72964?
False
Does 719 divide 1349668846?
False
Does 34 divide 129048295?
False
Does 72 divide 170761968?
True
Is 20153876 a multiple of 51?
False
Is 72954126 a multiple of 36?
False
Is 51509113 a multiple of 27?
False
Is 2854440 a multiple of 3?
True
Is 133843024 a multiple of 2296?
True
Is 2264 a factor of 109593448?
True
Does 1162 divide 165243491?
False
Is 17 a factor of 1046237443?
True
Is 1403473783 a multiple of 76?
False
Is 2687 a factor of 184304017?
True
Is 196 a factor of 24535229?
False
Is 1474720480 a multiple of 16?
True
Is 18377370 a multiple of 6?
True
Does 9 divide 60884035?
False
Is 273 a factor of 759973578?
True
Is 191 a factor of 4527846?
True
Is 13 a factor of 80933502?
True
Is 665 a factor of 50540000?
True
Is 55 a factor of 2847845?
True
Is 82303636 a multiple of 1532?
True
Does 54 divide 188935308?
True
Does 8 divide 920567792?
True
Does 1118 divide 203343467?
False
Is 135867648 a multiple of 384?
True
Does 22 divide 5860874118?
True
Is 61416241 a multiple of 53?
True
Is 973 a factor of 18529812?
True
Is 345634908 a multiple of 10?
False
Is 52380075 a multiple of 367?
True
Is 1521905 a multiple of 649?
True
Is 58031829 a multiple of 27?
True
Does 3379 divide 77296878?
False
Does 680 divide 880227939?
False
Is 537 a factor of 79409949?
True
Is 182 a factor of 4861903592?
True
Does 973 divide 87375245?
False
Does 90 divide 110141224?
False
Is 60532793 a multiple of 1069?
False
Is 88 a factor of 726451176?
True
Is 146 a factor of 31846980?
True
Is 495 a factor of 33832442?
False
Is 113 a factor of 546363808?
False
Is 9915 a factor of 696062745?
True
Is 39726531 a multiple of 81?
True
Is 1857352544 a multiple of 1674?
False
Is 10693151 a multiple of 138?
False
Is 35 a factor of 480816035?
True
Is 28 a factor of 234592344?
True
Is 233 a factor of 71596989?
False
Is 208 a factor of 9044880?
True
Does 335 divide 646820010?
True
Is 17 a factor of 4477435037?
False
Is 206 a factor of 16264112?
True
Is 112989647 a multiple of 8?
False
Is 2054 a factor of 84429956?
False
Is 24306968 a multiple of 266?
False
Does 1763 divide 866609702?
True
Is 9 a factor of 87473810?
False
Is 16 a factor of 3708880?
True
Does 2457 divide 87545367?
True
Does 24 divide 956566659?
False
Is 33 a factor of 32618817?
True
Is 7 a factor of 9782087?
True
Is 497 a factor of 184502056?
False
Is 47 a factor of 44070678?
True
Does 160 divide 30447360?
True
Is 1358407260 a multiple of 84?
True
Is 112 a factor of 40658113?
False
Does 95 divide 255626710?
False
Is 26 a factor of 1722452458?
False
Is 697939076 a multiple of 226?
True
Is 98 a factor of 1074806376?
True
Is 1752 a factor of 40562304?
True
Does 40 divide 212992080?
True
Does 1663 divide 1210680630?
True
Is 5651 a factor of 146304390?
True
Does 111 divide 1137327090?
True
Is 3 a factor of 4331389?
False
Is 21 a factor of 241594080?
True
Does 65 divide 2220920?
True
Is 90 a factor of 15143295?
False
Is 27 a factor of 291364172?
False
Is 1141997690 a multiple of 5?
True
Is 1179 a factor of 890832630?
False
Is 23 a factor of 80733542?
True
Does 2680 divide 309095120?
True
Does 187 divide 425090745?
False
Is 165 a factor of 357553350?
True
Is 10 a factor of 203976150?
True
Is 56789767 a multiple of 52?
False
Is 13 a factor of 10750458?
False
Is 546517216 a multiple of 23?
False
Does 361 divide 412288725?
False
Does 4872 divide 87592311?
False
Does 839 divide 117360998?
True
Is 379 a factor of 9113528?
False
Is 707850 a multiple of 330?
True
Is 433 a factor of 113256096?
False
Is 115371280 a multiple of 40?
True
Does 510 divide 70789530?
True
Does 16 divide 3947897?
False
Is 22655213 a multiple of 7?
True
Is 393 a factor of 13488939?
True
Does 7 divide 8598905?
True
Does 223 divide 227850919?
True
Is 312555486 a multiple of 61?
False
Does 342 divide 94375242?
True
Is 14 a factor of 147664524?
True
Is 4 a factor of 18263177?
False
Does 6 divide 2811707097?
False
Does 3278 divide 173084956?
True
Does 349 divide 127097424?
True
Is 193472972 a multiple of 308?
True
Does 28 divide 11890676?
True
Is 1166 a factor of 34773618?
True
Is 1829686653 a multiple of 801?
True
Is 1166820780 a multiple of 491?
False
Is 100 a factor of 1406866?
False
Is 2367986303 a multiple of 10899?
False
Is 103778928 a multiple of 27?
True
Does 1516 divide 91922660?
True
Is 157603002 a multiple of 331?
True
Is 124642336 a multiple of 26?
True
Is 29 a factor of 742100314?
True
Does 92 divide 353953992?
True
Does 1341 divide 33531705?
True
Is 27 a factor of 1076553558?
True
Does 1300 divide 620379051?
False
Does 13 divide 355902560?
True
Does 9 divide 399715910?
False
Is 99303082 a multiple of 7?
False
Is 72 a factor of 541308233?
False
Is 131322 a multiple of 84?
False
Is 44057336 a multiple of 1382?
False
Is 776267237 a multiple of 637?
False
Is 11553746 a multiple of 13?
False
Is 291 a factor of 14283633?
False
Is 75719209 a multiple of 47?
True
Does 34 divide 59955083?
False
Is 453 a factor of 69099261?
True
Is 21315837 a multiple of 42?
False
Is 1520751501 a multiple of 281?
False
Is 19 a factor of 18253871?
False
Does 37 divide 423333032?
False
Does 13 divide 567601567?
True
Is 8 a factor of 3041577?
False
Does 67 divide 16964820?
False
Does 1909 divide 40675829?
False
Does 7092 divide 2153287224?
True
Is 100816144 a multiple of 143?
True
Is 101 a factor of 176018154?
True
Does 890 divide 62137555?
False
Does 2740 divide 132796840?
True
Does 19 divide 51869183?
True
Does 40 divide 168848466?
False
Does 122 divide 59484210?
False
Is 11684935 a multiple of 19?
False
Does 9095 divide 2228588684?
False
Is 168203760 a multiple of 12?
True
Is 685080974 a multiple of 973?
False
Does 2358 divide 142056331?
False
Does 30 divide 1017913980?
True
Does 6 divide 544095173?
False
Is 159947711 a multiple of 36?
False
Does 9 divide 827429814?
True
Is 13394895 a multiple of 255?
True
Is 24 a factor of 65385456?
True
Is 150 a factor of 21834900?
True
Is 64256570 a multiple of 10?
True
Does 465 divide 44160390?
False
Is 404199860 a multiple of 355?
False
Does 93 divide 64418124?
True
Is 37968750 a multiple of 1215?
True
Is 3 a factor of 35730608?
False
Does 92 divide 30536417?
False
Is 244228545 a multiple of 2994?
False
Is 197810950 a multiple of 5?
True
Does 2936 divide 38235528?
True
Is 2046 a factor of 1139752944?
True
Is 403767159 a multiple of 89?
False
Does 347 divide 35463876?
False
Is 111 a factor of 698115973?
False
Is 232442366 a multiple of 46?
False
Is 340 a factor of 67741078?
False
Is 419850606 a multiple of 6181?
True
Is 9013267 a multiple of 109?
False
Is 1745 a factor of 16162190?
True
Is 220 a factor of 1213407756?
False
Is 172934283 a multiple of 917?
False
Is 107 a factor of 2091260760?
False
Is 1292 a factor of 3543956?
True
Does 65 divide 74691370?
True
Is 16 a factor of 1576862514?
False
Is 2075 a factor of 480968106?
False
Is 12 a factor of 248931552?
True
Does 165 divide 76797765?
True
Is 33 a factor of 109101066?
False
Is 15 a factor of 75662325?
True
Does 1565 divide 2270815?
True
Is 17 a factor of 3072155?
True
Does 355 divide 97397445?
True
Does 17 divide 4005355?
False
Is 110 a factor of 53938266?
False
Is 5357 a factor of 5315234547?
False
Is 313084567 a multiple of 256?
False
Is 116321700 a multiple of 1396?
True
Is 5 a factor of 945959480?
True
Is 1024374668 a multiple of 41?
True
Is 14 a factor of 188603284?
False
Is 205916760 a multiple of 33?
False
Does 38 divide 63789916?
True
Is 26 a factor of 13681252?
True
Is 271754084 a multiple of 14?
True
Is 161687410 a multiple of 2?
True
Is 110791366 a multiple of 9?
False
Is 26 a factor of 323606166?
True
Does 250 divide 55249750?
True
Is 12372904 a multiple of 8?
True
Is 65341404 a multiple of 2800?
False
Is 248523216 a multiple of 564?
True
Does 3 divide 46224558?
True
Is 254 a factor of 636951736?
True
Does 82 divide 3776100?
True
Is 358 a factor of 1093173783?
False
Does 362 divide 24836136?
False
Is 89777883 a multiple of 13?
True
Does 362 divide 267587142?
True
Is 1303471689 a multiple of 583?
False
Is 44 a factor of 4898192772?
True
Is 1397 a factor of 37566727?
True
Is 363 a factor of 790701846?
True
Is 227 a factor of 77414945?
True
Is 1347136224 a multiple of 177?
False
Is 652064 a multiple of 568?
True
Does 3 divide 71672131?
False
Is 280269553 a multiple o | {
"pile_set_name": "DM Mathematics"
} |
7/5 less than 77362?
True
Which is greater: 875 or -0.77?
875
Which is bigger: 0 or 67/122608?
67/122608
Which is greater: 31224 or 31219?
31224
Is -668 >= -1281?
True
Are 0.1 and -2854911 nonequal?
True
Is 22 != -42?
True
Is -3218 at least -3236?
True
Which is greater: -31152 or -1/4?
-1/4
Is 111481 != 111481?
False
Which is greater: 18211 or 1/6?
18211
Is 408 less than 15142/37?
True
Which is bigger: -1819 or -7271/4?
-7271/4
Which is smaller: -162 or 3427?
-162
Does -1/13 = 23?
False
Is 17174 less than or equal to 120216/7?
False
Does -24949 = -24949?
True
Which is greater: -0.1 or -10303/128?
-0.1
Which is greater: -66682 or -66686?
-66682
Which is bigger: 39618 or 237703/6?
39618
Is -396/2869 smaller than 1?
True
Are 9497 and 9497 unequal?
False
Which is smaller: -22913 or -22915?
-22915
Which is greater: 542/5171 or 1?
1
Is 285 less than 280?
False
Which is smaller: 182 or 113?
113
Which is smaller: -2558 or -2557?
-2558
Is 13.1 less than 11?
False
Which is bigger: -968 or -958?
-958
Which is smaller: -391 or -1152?
-1152
Is -71 equal to -2042/29?
False
Is 8601 at least 8606?
False
Does -23942 = -23958?
False
Is 0.04368 not equal to -30/13?
True
Do 1144893 and 1144893 have different values?
False
Which is greater: -1/130816 or -1?
-1/130816
Which is bigger: -4/190399 or 1?
1
Which is greater: 2515 or -11?
2515
Is -3690 bigger than 3/2?
False
Is -473.1 at least 1/12?
False
Which is smaller: -1 or 2/2017961?
-1
Is 1 smaller than 19/4710?
False
Which is bigger: -160340 or -24?
-24
Which is smaller: 8364 or 8361?
8361
Is 2014664 <= 2014664?
True
Do 137/47419 and -1 have the same value?
False
Which is smaller: 9871 or -7?
-7
Is 15258 less than 15265?
True
Is -2.05427 less than 2/3?
True
Which is smaller: -299419/7 or -42773?
-299419/7
Which is smaller: -540103 or -540102?
-540103
Is 2/18707 not equal to -1?
True
Which is greater: -2/81543 or -1?
-2/81543
Which is smaller: 468374/15 or 0.2?
0.2
Which is smaller: 340739 or 3066652/9?
340739
Is 695454 less than 695459?
True
Which is bigger: 0 or -348/1685?
0
Do 252 and 618 have the same value?
False
Which is greater: 134 or -213?
134
Is -8 greater than -22329?
True
Which is smaller: 0 or 375/4526?
0
Is 3353 at most 43605/13?
True
Which is smaller: 6718 or 2.7?
2.7
Which is bigger: 58/2307 or 0?
58/2307
Which is bigger: 37419 or 37427?
37427
Which is smaller: 103532 or 1967133/19?
103532
Which is greater: 1/1421 or 0?
1/1421
Do 2/1174035 and 0 have different values?
True
Which is greater: 309761 or 309763?
309763
Are -3/110182 and 0 non-equal?
True
Are 1 and 2/679 non-equal?
True
Which is smaller: 4 or 422320?
4
Is 336349/2 at least 168176?
False
Which is bigger: -1948 or -1385?
-1385
Is 6389 at least as big as 198082/31?
False
Is 654 > 7188/11?
True
Which is bigger: -57464 or -402240/7?
-402240/7
Which is smaller: 1058505 or 1058506?
1058505
Are -1 and -1/36091 unequal?
True
Is 17873 > 17882?
False
Is -1515 greater than -1488?
False
Are -17 and -105 equal?
False
Which is bigger: -42294 or -465240/11?
-42294
Which is smaller: 1 or -11/145846?
-11/145846
Which is greater: 53294 or 53293?
53294
Which is smaller: 2 or 2/50933?
2/50933
Which is smaller: 1273 or -83?
-83
Is 1/11 smaller than -3409?
False
Is -2466/7 >= -352?
False
Is -237 greater than or equal to -9724/41?
True
Which is smaller: 47 or 8385/184?
8385/184
Are -12134 and -424726/35 equal?
False
Is 275117/4 < 68778?
False
Which is smaller: -8 or -2424/355?
-8
Is 86247 equal to 86247?
True
Which is bigger: 2156/53 or 42?
42
Is 383636 at least as big as 383635?
True
Which is smaller: -3534383 or -3534385?
-3534385
Is 4/44915 less than 1?
True
Which is smaller: 47928/11 or 4358?
47928/11
Is 4/633 > 61/3?
False
Which is smaller: 0.7 or 0.22949?
0.22949
Which is greater: 37701 or 37700?
37701
Is -231836 >= -231835?
False
Which is greater: -1 or 7/228061?
7/228061
Is 1724 bigger than -1/1374?
True
Is -0.002 at most 3.1?
True
Is -2618552 less than -2618550?
True
Is 6/5 greater than 44378?
False
Which is greater: -66 or -2/21?
-2/21
Is -579 > -228?
False
Does 0.0287913 = 0.4?
False
Is 3926 less than or equal to 4137?
True
Which is bigger: 0 or -51/292?
0
Is -219604 smaller than -219606?
False
Are 530485 and 530486 equal?
False
Is -10 less than or equal to -232/21?
False
Are -0.19554 and -2/3 equal?
False
Is 36 not equal to 100.31?
True
Is 250978 bigger than 250978?
False
Is 72291 <= 72286?
False
Is 3/2884 at most as big as 12?
True
Which is greater: -239/106 or -1?
-1
Is -2477 >= -321?
False
Which is bigger: -2180 or -2356?
-2180
Is 36 less than 3961/114?
False
Which is smaller: 33.4561 or 0?
0
Is -2 less than -253341?
False
Does -1710924/11 = -1?
False
Is -74415/14 smaller than -5315?
True
Is -6/164183 greater than -1?
True
Is -173077/2 equal to -86539?
False
Do -2 and -739/219 have the same value?
False
Which is bigger: -2780 or -2751?
-2751
Which is smaller: 474 or -38?
-38
Which is greater: -1 or -17/12623?
-17/12623
Is 18509 greater than or equal to 18503?
True
Which is smaller: 75 or -85?
-85
Are -14683 and -1 equal?
False
Is 2/617375 equal to -0.1?
False
Which is smaller: -57081/26 or -2196?
-2196
Which is bigger: 1934078 or 1934077?
1934078
Which is smaller: 899 or 117?
117
Is -4749 less than or equal to 238?
True
Is 7 > 2503?
False
Are -0.021 and -16224 unequal?
True
Is 12463 at most 12460?
False
Which is smaller: 2/93657 or -1/7?
-1/7
Which is greater: 0 or 61/273?
61/273
Which is greater: -1/10708711 or 0?
0
Is 17863 > 17863?
False
Which is smaller: 61869 or 61859?
61859
Do -32/132857 and 1 have different values?
True
Is 0.05172 not equal to 19?
True
Which is greater: -3622 or -3651?
-3622
Which is bigger: -27535 or -27?
-27
Which is bigger: -154 or -144?
-144
Is -103524 equal to 0?
False
Which is greater: 501934/13 or 38610?
501934/13
Is -132 bigger than -1509?
True
Is 2382 at most 2382?
True
Is 43 greater than or equal to 28524/679?
True
Which is bigger: -541040 or -541041?
-541040
Which is smaller: -34151 or -34158?
-34158
Is 507600/103 at least 4927?
True
Which is greater: -2.8 or 4009?
4009
Which is smaller: 1.4 or -983.8?
-983.8
Do -2816 and -2816 have the same value?
True
Which is bigger: -82325/51 or -1613?
-1613
Which is greater: -2986174 or -2986173?
-2986173
Which is greater: -1614 or -32253/20?
-32253/20
Is -47362/37 != -1279?
True
Which is smaller: -13 or 1897?
-13
Is 0 at least as big as -4/10775?
True
Do -139828 and -139817 have the same value?
False
Which is smaller: 1253 or 39?
39
Which is bigger: -2/3 or 505?
505
Which is smaller: -370 or 265?
-370
Do -41/1710 and 0 have different values?
True
Which is greater: 0 or -6/512659?
0
Which is bigger: 0.048258 or -1?
0.048258
Is 13629 greater than or equal to 24?
True
Is 37016 != 37018?
True
Is 2183170 < 2183169?
False
Is 34082 at least 306742/9?
False
Which is bigger: 2958 or 2784?
2958
Which is smaller: -1 or -1290/1949?
-1
Which is bigger: -1564264 or -1564266?
-1564264
Is 4325 at most 4322?
False
Which is bigger: 16/25037 or 1?
1
Are 51209 and 51207 non-equal?
True
Is 13 at most 139594?
True
Is -617 < -518?
True
Are -969 and -5809/6 nonequal?
True
Is 136559 at least as big as 136563?
False
Which is smaller: 1397 or 15379/11?
1397
Is 25 at least 6912/281?
True
Which is smaller: 942713 or 942710?
942710
Which is smaller: -255 or 2.6?
-255
Which is smaller: -3708 or -3598?
-3708
Which is smaller: -1/10 or 176301?
-1/10
Is 9601 != 9685?
True
Which is smaller: -981955 or -2?
-981955
Is 28335 bigger than 28334?
True
Which is bigger: 32 or 6655/216?
32
Is -993 bigger than -112?
False
Is 0 greater than -1/633886?
True
Which is smaller: -605 or -23?
-605
Which is smaller: 3 or 3302/809?
3
Is -5413446 > -5413444?
False
Which is smaller: 55 or 753/14?
753/14
Is 3986 less than 0.11?
False
Is 103127/18 not equal to 5730?
True
Is 2835557 at most 2835559?
True
Do 1892 and 6 have the same value?
False
Which is bigger: 1 or 11/373?
1
Is -22973 less than or equal to -15?
True
Are -267878 and 1 equal?
False
Does 0 = 1/1201942?
False
Which is greater: 1 or 56/6621?
1
Is 6 < 254/35?
True
Which is smaller: 202390 or 202389?
202389
Is 1383614 at most as big as 1383616?
True
Which is smaller: -90502 or -90500?
-90502
Does -47/41410 = 0?
False
Which is smaller: -3/22171 or 1?
-3/22171
Is 57 | {
"pile_set_name": "DM Mathematics"
} |
hat is next in -2271, -1755, -1239, -723, -207, 309?
825
What is next in 1031, 2105, 3181, 4259, 5339, 6421?
7505
What is next in -499, -3668, -12273, -29032, -56663, -97884, -155413, -231968?
-330267
What is next in -1075, -1076, -1077, -1078, -1079?
-1080
What is next in 20472, 20447, 20418, 20391, 20372, 20367, 20382?
20423
What is next in 3001, 5935, 8881, 11845, 14833, 17851, 20905?
24001
What is the next term in 6241, 12569, 18897?
25225
What is the next term in -363, -1793, -4167, -7479, -11723, -16893, -22983, -29987?
-37899
What is next in 1469, 1433, 1381, 1307, 1205?
1069
What is the next term in -62957, -125914, -188873, -251834, -314797, -377762?
-440729
What comes next: 329, 6806, 24393, 58646, 115121, 199374, 316961, 473438?
674361
What is next in -65481, -65489, -65499, -65511, -65525?
-65541
What comes next: 47710, 47715, 47720, 47725, 47730?
47735
What comes next: 6437, 6440, 6445, 6452?
6461
What is the next term in -1356, -2707, -4058, -5409?
-6760
What is the next term in -3628, -29083, -98172, -232711, -454516, -785403, -1247188, -1861687?
-2650716
What is the next term in -1085, -1099, -1113, -1127, -1141?
-1155
What comes next: -104, -521, -1252, -2297, -3656, -5329?
-7316
What is next in 2575, 2478, 2381, 2284, 2187, 2090?
1993
What is the next term in -44, -601, -2152, -5195, -10228, -17749?
-28256
What is the next term in -94, -121, -172, -253, -370, -529, -736?
-997
What is the next term in -750763, -750765, -750767, -750769, -750771?
-750773
What comes next: -158258, -316517, -474776, -633035, -791294, -949553?
-1107812
What is next in 16, -12, -56, -122, -216, -344?
-512
What comes next: 25, 94, 203, 340, 493, 650, 799, 928?
1025
What is the next term in -709, -645, -575, -499?
-417
What comes next: 1086, 997, 904, 807, 706?
601
What comes next: 138077, 138070, 138063, 138056, 138049, 138042?
138035
What is next in -5075, -5030, -4989, -4952, -4919?
-4890
What is the next term in 725, 735, 713, 647, 525, 335, 65, -297?
-763
What is next in 175, 67, -113, -365, -689, -1085, -1553?
-2093
What is next in 37, 55, 107, 211, 385, 647?
1015
What is next in 368, 738, 1110, 1484, 1860, 2238, 2618?
3000
What is the next term in -1539, -1708, -1875, -2040?
-2203
What is next in 1379, 2757, 4135?
5513
What comes next: 2013, 4011, 6009?
8007
What is the next term in 1432, 1501, 1670, 1987, 2500, 3257?
4306
What is the next term in 2707, 2740, 2787, 2854, 2947, 3072, 3235?
3442
What is the next term in -82557, -330224, -743003, -1320894, -2063897, -2972012, -4045239?
-5283578
What is next in -3039491, -3039493, -3039495, -3039497, -3039499, -3039501?
-3039503
What is next in -147, -152, -129, -60, 73, 288, 603, 1036?
1605
What comes next: 9, 46, 173, 444, 913, 1634, 2661?
4048
What is next in 169, 600, 1031, 1462, 1893?
2324
What is the next term in -555, -585, -663, -813, -1059, -1425, -1935, -2613?
-3483
What is next in 28129, 56254, 84377, 112498, 140617, 168734?
196849
What is the next term in 188, 204, 222, 242, 264?
288
What comes next: 348, 631, 914, 1197, 1480, 1763?
2046
What is the next term in 16, 47, 116, 235, 416?
671
What is the next term in -123698, -123695, -123694, -123695, -123698, -123703, -123710?
-123719
What is next in -965, -952, -937, -920, -901?
-880
What comes next: 99, 150, 173, 156, 87, -46, -255?
-552
What is next in 747, 1401, 2053, 2703?
3351
What is next in -154, -263, -372, -481, -590, -699?
-808
What is next in 358, 705, 1034, 1339, 1614, 1853, 2050?
2199
What is the next term in 8296, 8385, 8474, 8563, 8652, 8741?
8830
What is the next term in -9804, -9818, -9864, -9960, -10124, -10374, -10728, -11204?
-11820
What is the next term in 192743, 192736, 192727, 192716, 192703, 192688?
192671
What is next in 83, 130, 209, 320, 463, 638?
845
What is next in 90570, 90571, 90572, 90573, 90574?
90575
What is next in -55839, -111676, -167515, -223356, -279199, -335044?
-390891
What comes next: 720, 1294, 1868?
2442
What is next in 159, 454, 885, 1452?
2155
What is next in -17, 7, 29, 49, 67, 83?
97
What is the next term in -10, -81, -196, -355?
-558
What is next in 116, 121, -128, -757, -1892?
-3659
What comes next: 3645, 3900, 4339, 4968, 5793, 6820, 8055?
9504
What is the next term in 141583, 566318, 1274209, 2265256, 3539459, 5096818?
6937333
What is next in 4752, 4501, 4250, 3999?
3748
What is the next term in -71, -195, -363, -581, -855, -1191, -1595?
-2073
What comes next: -10502, -21028, -31552, -42074, -52594, -63112?
-73628
What is next in 4466, 8950, 13436, 17924, 22414?
26906
What is the next term in 736, 738, 728, 700, 648, 566, 448?
288
What is the next term in 2590, 5108, 7632, 10168, 12722, 15300?
17908
What comes next: -1227, -4918, -11069, -19680, -30751?
-44282
What comes next: 94, 306, 646, 1102, 1662, 2314, 3046?
3846
What comes next: -285, -1053, -1821, -2589, -3357?
-4125
What is the next term in 662, 1297, 1944, 2609, 3298?
4017
What comes next: -11, -132, -405, -890, -1647, -2736?
-4217
What comes next: 25566, 51139, 76712?
102285
What is the next term in -4229739, -4229743, -4229751, -4229763, -4229779, -4229799, -4229823?
-4229851
What comes next: -755, -751, -725, -665, -559, -395?
-161
What comes next: 43487, 86966, 130439, 173906?
217367
What is next in -212050, -848199, -1908452, -3392815, -5301294, -7633895, -10390624, -13571487?
-17176490
What is next in -2146, -2157, -2168, -2179?
-2190
What is the next term in 181, 316, 539, 850?
1249
What comes next: -982, -546, -120, 290, 678?
1038
What is the next term in -2, -41, -112, -233, -422, -697?
-1076
What is next in 21873, 43747, 65621, 87495?
109369
What is the next term in -1666, -3341, -5028, -6733, -8462, -10221, -12016?
-13853
What is next in 20353, 40671, 60989, 81307, 101625, 121943?
142261
What is next in 98, 137, 228, 395, 662, 1053, 1592?
2303
What is next in 267, 262, 261, 264, 271?
282
What is the next term in -2356, -2320, -2238, -2092, -1864, -1536, -1090?
-508
What comes next: -290, -546, -736, -824, -774, -550, -116?
564
What is next in 2120, 4182, 6244?
8306
What is the next term in -83068, -166134, -249200?
-332266
What is next in -225, -491, -785, -1119, -1505, -1955, -2481?
-3095
What comes next: 582070, 582068, 582066?
582064
What comes next: -293, -434, -415, -236, 103?
602
What comes next: 42, 83, 146, 237, 362, 527?
738
What is the next term in -21664, -43334, -65004, -86674, -108344, -130014?
-151684
What comes next: 92528, 185063, 277598, 370133, 462668?
555203
What is the next term in -630, -1598, -2894, -4512, -6446, -8690?
-11238
What comes next: -17873, -35754, -53647, -71552, -89469?
-107398
What is the next term in -272, -295, -318, -341?
-364
What is the next term in 35, 251, 877, 2129, 4223, 7375, 11801, 17717?
25339
What is the next term in 14708, 14706, 14690, 14654, 14592, 14498, 14366, 14190?
13964
What is the next term in 18530, 18543, 18558, 18575?
18594
What is next in 3815, 7624, 11433, 15242, 19051?
22860
What comes next: 44, 145, 404, 899, 1708, 2909, 4580?
6799
What comes next: -4580, -4602, -4648, -4724, -4836, -4990, -5192, -5448?
-5764
What is the next term in 4230, 8516, 12802, 17088, 21374?
25660
What comes next: -1673, -3161, -4649, -6137?
-7625
What is next in 174, 480, 916, 1488, 2202?
3064
What comes next: 2153, 4323, 6489, 8651?
10809
What is the next term in -22704, -45416, -68128?
-90840
What comes next: 1466, 3210, 6118, 10190, 15426?
21826
What comes next: 75650, 75645, 75640, 75635, 75630, 75625?
75620
What is the next term in 1861, 1856, 1835, 1786, 1697, 1556?
1351
What is the next term in 2076, 2065, 2066, 2085, 2128, 2201, 2310?
2461
What is the next term in 9938417, 9938416, 9938415, 9938414?
9938413
What comes next: 118187, 118217, 118247, 118277, 118307?
118337
What is the next term in 150, 651, 2012, 4665, 9042, 15575, 24696, 36837?
52430
What comes next: -1595, -1600, -1605, -1610?
-1615
What comes next: -91977, -91978, -91979?
-91980
What is the next term in -214898, -429793, -644688?
-859583
What comes next: -64842, -64844, -64846, -64848, -64850, -64852?
-64854
What comes next: -706, -703, -700, -697, -694, -691?
-688
What comes next: 61, 103, 165, 241, 325, 411?
493
What is next in -11, -62, -149, -272?
-431
What is the next term in -256, -529, -7 | {
"pile_set_name": "DM Mathematics"
} |
((-3 - 7) + 4 - (-40 - 3)).
-32
Evaluate 102 - 124 - (-24 - -2).
0
Calculate -307 - -348 - (-52 - -2).
91
Calculate 1 - (-15 + (68 - 1 - (93 - 97))).
-55
-1 - -18 - (73 - 170 - -79)
35
Calculate 2 + (-40 - (11 - 20)).
-29
What is the value of 4 + -11 + (4 - 0) + 33 + -41 + 14?
3
What is the value of (-24 - -8) + (6 - -13) - (6 + 0)?
-3
Calculate (6 - (38 + 11) - -17) + 3.
-23
(6 - 9) + 0 + (-2 - 3) + -447 + 473
18
Calculate (210 - 216) + 8 + -5 + (-3 - 2 - 118).
-126
Evaluate -3 - 0 - ((25 - 63) + -75 - -38).
72
(0 + 1 - -36 - (432 + -444)) + -7
42
What is the value of 21 + 6 + 12 + -14?
25
(7 - (-1 + 22)) + 26 + -1 + 8
19
68 - ((2 - -9 - (-79 + 90)) + 2)
66
0 - 15 - (-74 + 4 + 101)
-46
Evaluate -38 - (-34 - (-61 - -115)).
50
What is the value of (-105 + 43 - -29) + -9?
-42
Calculate -4 - (21 + -18 + (3 - (-8 + 75 - -1))).
58
What is 9 - ((-51 - 11 - 4) + (11 - 12))?
76
0 + 59 + -872 + 805
-8
What is the value of -51 + 58 + -102 - -47?
-48
7 - 0 - (-53 - (-33 - -10) - -4)
33
Calculate -1 + -3 + (126 - (-3 - (10 + -21 - 15))).
99
-23 + (-1 + 18 - (-2063 - -2085))
-28
What is the value of (6 - 57) + 11 - (11 - (5 - -2))?
-44
What is the value of 30 + -36 + 0 + (7 - 3) + -24 + -1?
-27
What is the value of -107 + (4 + -7 - -8 - 5 - (3 - 12))?
-98
What is the value of -12 - -46 - 14 - 25?
-5
What is the value of -108 - (57 - (-25 - -144))?
-46
Evaluate (1 - 1) + (19 + -2 + -11 - -3) - -59.
68
What is the value of -246 + 8 + -62 + 183?
-117
What is 90 + (33 + 0 + -5 - 44)?
74
What is 0 - 34 - (21 + -41 + (30 - -9))?
-53
31 - 1 - (6 - -40)
-16
Evaluate 11 + (8 - 4) + (218 - 200).
33
-345 + 47 + 304 - (-46 - (-2 - -4))
54
Calculate 90 + (-68 + 52 - 21).
53
Calculate -5 + -4 + 0 + -2 + 7 + -18 + 9.
-13
What is -2 + (-54 - -41) + (-1 + 28 - 0)?
12
What is the value of -86 + (38 + -75 - -38) + 35?
-50
What is the value of 23 - (-1 + -12 + (254 - 234) - (-2 + -1))?
13
Evaluate (-9 - (-16 + 13)) + (-1 - (4 - 8)).
-3
What is the value of -10 + 3 + (71 - (8 + -5 + 8 + -5))?
58
6 + (5 - 1) + (-19 - 3 - -9 - 54)
-57
3 + (31 - (0 + -2)) + 240 + -91 + -152
33
(-13 - (-23 - -7)) + (-1 - (4 + -5 + 1))
2
Calculate (6 - -1) + (486 - 487) + -42.
-36
-57 - (-15 + 1 - (-187 - -135))
-95
What is -76 + 80 + (4 - (24 + -1)) + 3?
-12
Calculate -66 + 2 + 34 + -7 + -80 + 67.
-50
Evaluate 66 + 0 - (-1540 - -1596).
10
What is the value of (0 - -41) + (-31 - 2) + (109 - 95) + 11?
33
What is -1 - (-6 + 40) - (-2 - (7 + -8))?
-34
What is the value of 2 - 20 - (-7769 + 7678)?
73
-101 + 40 - (2 + 6 + (-11 - (-7 + 2)))
-63
What is -66 - (297 + -325 + 1 + 9)?
-48
-25 - (6 - 45) - -22
36
Evaluate -2 - ((-2 - -3 - -1 - 91) + (-97 - -98)).
86
Calculate -4 + 3 + -5 + -2325 + 2372.
41
15 + -26 + (3 - -89)
81
33 + (141 - (383 - 110))
-99
Calculate -81 + (17 - (-8 - -17 - 7)).
-66
-39 + (313 + -330 - (-2 + -21))
-33
2 + 21 - (-6 - (-94 - -4))
-61
What is the value of (-29 + -44 - -40) + 4 + (3 - 1)?
-27
-140 - -4 - (2307 - 2426)
-17
9 + -16 + (22 - 14) + -6 + -13
-18
What is the value of (5 - (4 - 1)) + 1 + -65 + 5248 + -5257?
-71
What is -41 - ((-5 - (-4 + (9 - 18) + 5)) + 1)?
-45
Calculate 19 - 92 - -73 - 81.
-81
What is the value of -2 + -13 + 25 + -16 - 14?
-20
Evaluate 583 + -587 + 26 + 2.
24
Calculate 65 + -24 + -65 - 33.
-57
Evaluate 19 - ((-54 - -79) + -26).
20
What is the value of (-12 - -16 - (0 + 9)) + -62 + 48 + 50?
31
What is -6 + -1 + 6 + 2 + 14 - (-3 + 3)?
15
What is 6 + -15 - (-14 + 30 + -3)?
-22
(10 - 3) + 33 + 123 + -143 - -14
34
Evaluate 20 - ((-281 - -281) + (-3 - 18)).
41
Calculate -88 + (-20 - -42) - -26.
-40
Calculate 41 + (4 - -5 - 19 - 5).
26
-9 + -38 - (-51 + -5) - (-47 + (1 - 3))
58
What is the value of -1833 + 1789 - (-16 + 9 + 1 + -2 + -2)?
-34
Calculate (-6 - -59 - 54) + -6 + 64 + 2.
59
What is the value of (-166 - -144) + (-50 - (2 - (-3 - -4)))?
-73
(0 - 56) + 40 + -39 - ((35 - 32) + -15)
-43
Calculate 107 - ((1 - -39) + 358 + -369).
78
2 + -40 + -2 + (-5 + -42 - 31) + 66
-52
(6 - -1) + -37 + -7 + (49 - 18) - 68
-74
Calculate 67 + (9 - 42 - 20).
14
Evaluate 2 - -1 - (569 - 591) - (8 + -5 - -8).
14
-1 - (-6 - (-20 + 3) - (-25 + 1))
-36
Evaluate -27 + (-24 + 33 - -13).
-5
What is -4 + (-1 - 15) + (-1 - 2) - (-18 + 7)?
-12
Evaluate -85 - 7 - (-108 + 63 + 6).
-53
Evaluate -255 + 131 + 253 - 99.
30
(1 - (0 - 2)) + (-35 + -9 + -18 - -12)
-47
-224 - -59 - -119 - -146
100
-26 + -29 + 33 - -15
-7
Evaluate -45 + 140 + (84 - 144).
35
Calculate 24 + (-3 - -2) + (-395 - -381) + -27 + 0.
-18
What is the value of -66 + 25 + (-124 - -118) + 0 + 2 + 12?
-33
What is 157 - (25 + 4 - (54 + -63))?
119
Calculate (0 + -3 - -8) + (-22 - (25 - 94)).
52
What is the value of -40 - ((-23 - -53) + -30) - -90?
50
Calculate -5181 + 5120 + (6 - -1 - (-5 - (1 + -4))).
-52
What is 1 + -3 - (-331 + 231 - -153)?
-55
What is -3 + (-13 - (28 + -36 + (-4 - -16)))?
-20
What is 86 + 26 + -215 + 98?
-5
-50 + 33 + (61 - 3)
41
-5 + (-6 - -23) + -46 + 43 + -12 + 0
-3
Evaluate 0 + 50 - (-15 + (-21 - -18) - (6 - 27)).
47
What is 44 + (-73 - 1) + 63?
33
Calculate 0 - 1 - (-26 + 27 - 35 - 13).
46
Calculate (44 - -4) + (414 - 402).
60
0 - 0 - (-29 + (16 - 21) + 4)
30
Calculate -19 + -59 + (9 - 39) + 19.
-89
-90 + (221 - 153) + -105
-127
Evaluate 47 + -8 + -46 - -26 - 47.
-28
What is -25 - (-9 + 1) - (80 + 6 + 5)?
-108
Evaluate 4 - -4 - 21 - (49 - 11).
-51
Evaluate 73 + 2 - (14 - 22 - 7 - (-7 + -1)).
82
49 + 2 - (-10 + 4 + (-6 - 1))
64
Calculate -40 + (-26 + (2 - -8) - -14 - 9).
-51
What is 46 - 45 - (-57 - -2) - 21?
35
Calculate -2 - (-58 - (-38 - -29)).
47
What is the value of (-19 - (-5 + 26 + -34)) + -9 + -6?
-21
What is the value of 100 + -53 - -11 - 24?
34
Calculate 122 + -47 + -33 + -48 + -2 + 0.
-8
What is the value of -104 - (-111 + -82 + 115)?
-26
13 + -15 + (-6 - (22 - 11))
-19
Evaluate 2 - (-10 + (-4 - (12 + -35))).
-7
What is 141 + (-17 - 132 - -139 - (1 - -12))?
118
What is the value of -84 + (69 - 54) + 118?
49
Calculate 48 - 4 - (2 + -12) - 3.
51
Calculate -30 - 163 - -125 - -154.
86
What is the value of -26 + (-10 - (-20 + (-8 - (-7 - 3))))?
-18
Evaluate ((-7 - -15) + 11 - 19) + 17.
17
Calculate -110 + -1 - (182 + (-253 - -72)).
-112
Evaluate -28 + -2 + 399 + -334.
35
What is the value of (24 - 21) + (-14 + 6 + -46 - (1 - 5))?
-47
Calculate -4 - -3 - (-242 - -224 - (-1 + -33) - 2).
-15
Calculate 5 - (-21 + 27 + -62 + 33).
28
-41 + 49 + -13 + -34
-39
Evaluate -61 - (-78 + (22 - -21)).
-26
What is the value of 49 + -4 + (-7 - (-33 + 17 + 4))?
50
Evaluate 0 + 22 + -6 + 29 + 12.
57
What is 93 + -88 + (38 - -2)?
45
Evaluate (6 - (9 + -11) - 2) + -9 + 10 + -30.
-23
-10 + -3 + (0 - -1) + (-223 - -230)
-5
Calculate 11 + 11 + 7 + -15 - 19.
-5
What is (-3 - -62) + -729 + 671?
1
What is 21 + -43 + 59 + (-5 - -2) + (-2 - 6)?
26
What is (-23 + 24 - -19) + 15 - (0 - 4)?
39
What is (-47 - -47) + (-23 + 9 - -45)?
31
6 + (-539 - -545) + -21 + -2
-11
What is -20 - (140 - 36 - 23)?
-101
What is 1 + (-2 - (47 + -47)) - (2 + -2)?
-1
Evaluate (7 - -1) + 32 + -4 - (17 - 4).
23
What is (30 - -9) + 130 + -156?
13
Evaluate (27 - (21 + 7 + -17)) + (0 - -7 - 0).
23
Calculate (106 - 14) + -26 - (11 - 1) - -11 - 5.
62
Evaluate 29 - (18 + -18 + (-1 - -60)).
-30
3 + 0 + 1 - (-155 + (339 - 176))
-4
335 + -317 + (1 - 16) - (3 - 15)
15
What is the value of 114 + -12 + -110 - 46?
-54
What is -10 - -2 - (-25 - (-97 + -4 + -24))?
-108
Evaluate 8 + (-39 - -6 - -15) + -17.
-27
What is -34 + (-89 - (-43 + -18))?
-62
Evaluate (-23 + 4 - -1) + -1490 + 1531.
23
-51 + 145 + (-160 - -87)
21
What is (133 - (-3 - -10)) + 14 + (-3 + 2 - 8)?
131
Calculate -10 - (1 + (-16 - 50)) - 3.
52
What is -13 - (-55 - (4 - (-11 - -22)))?
35
What is (206 - (-241 - -456)) + (0 + -2 - 2)?
-13
What is the value of -1 + (-1 - 2) - 3 - (-10188 + 10136)?
45
Calculate (40 + -18 - 90) + -3.
-71
What is -48 - (-68 - (-119 + 76))?
-23
Calculate (3 + -4 - (4 - 8)) + 37.
40
28 - ((-33 - -85) + -50)
26
Evaluate -7 - (2 + -4 + 34 + 71 + -86).
-24
-51 - (19 + 5 - 17) - -20
-38
Evaluate 68 - (110 + 32 + -16).
-58
Evaluate 0 + -804 + 798 + (-1 - 2 - (-27 + -2)).
20
Calculate (0 - 20) + (-11051 - -11065).
-6
What is the value of 14 + 0 + (-6 - 15 - -31)?
24
Evaluate -47 + (-19 - -7 - -74).
15
What is 40 + (8 - 6) - ((14 - -7) + -33)?
54
Calculate 17 - (-59 + -6 - -1 | {
"pile_set_name": "DM Mathematics"
} |
ng r is positive.
r**(3184/77)
Simplify (f*f*f**(-7)*f*f/(f*f**(-6))*f)/(f**(2/7)/f*(((f*f**(-7/3)/f*f)/f)/f)/f)*((f**3)**(-1/8))**37 assuming f is positive.
f**(-979/168)
Simplify ((o**(2/3)/o)/o**6*o*o/o**(-5)*(o**(-1)/o)/o)/(((o**(-1/3)/o)/o)**34*(o*o**(-5))/(o/(o/o**(-4/9)))) assuming o is positive.
o**(725/9)
Simplify (((g*g**(-6)*g)/g**5)/(g*g**5*g*(g**(2/7)/g)/g))/(g/(g/g**2)*g/g**(-3)*g**(2/3)*g**6) assuming g is positive.
g**(-566/21)
Simplify ((p**(-2/9)/p*p*p)**17)**44*((p*p**1*p)/p**(5/4))**(-1/91) assuming p is positive.
p**(272263/468)
Simplify (r*r**(-3/4)*r/(r**0/r))/((r*r/(r*r**(2/3)))/r*r*r/(r**(-2/9)/r))*(r**(2/9)/r**6)/(r/r**1)**34 assuming r is positive.
r**(-73/12)
Simplify (((h*h*h**(-2/29))/h*(h*h/((h*((h**46*h)/h*h)/h*h*h*h)/h)*h)/h)/(h**(1/7)/h)**(-24))**49 assuming h is positive.
h**(-94696/29)
Simplify (v**(-4)*v*v**(-2/19)*v*v)**(8/13)*((v/v**(-2))/v*v*v/v**(2/11))/(v**(-2/15)/v**7) assuming v is positive.
v**(418609/40755)
Simplify ((v/(v**(-1/5)/v)*v/v**(2/5)*v**(-4)*v**(-1/5))**(2/53))**(-14) assuming v is positive.
v**(196/265)
Simplify (l*l**4*l/l**(-2))**34*(l*(l*l/(l/(((l*((l**(-6/5)/l)/l)/l)/l)/l))*l*l)/l*l/(l/l**(4/3)))/(l**(-4/3)*l**6) assuming l is positive.
l**(3997/15)
Simplify ((o**(-6)/(o/(o/((o/o**(-3))/o)*o))*(o/o**(-1/4))**(10/7))**50)**18 assuming o is positive.
o**(-39150/7)
Simplify ((f**(3/5)*f)/f**(-4/7))**(6/17)*(f**(-6)*f**(-2/5)*f)**(2/3) assuming f is positive.
f**(-1686/595)
Simplify ((o*o**(-20))**(-12/11)/(o**22)**(-6/5))**(-3/14) assuming o is positive.
o**(-3888/385)
Simplify (l**(5/7)*l*l**(14/5)*l*l*(l**(1/2))**(3/7))**(-2/159) assuming l is positive.
l**(-157/1855)
Simplify (l**7/l**(-6))/(l**2*l*l**(-4/9)/l)*((l/((l*l**(-2))/l)*l)**33)**(-3/26) assuming l is positive.
l**(-443/117)
Simplify (((((p*p*p*(p/(p*(p**(1/2)*p)/p))/p)/p)/p)/(p**(-5)*p))/((p**(-5/7)*p)/(p**(-22)*p)))**(-5) assuming p is positive.
p**(1245/14)
Simplify ((l*l/(l/(l*l/l**3)))/l)**(-2/53)*(l/l**(11/2))/l**26 assuming l is positive.
l**(-3229/106)
Simplify ((((t/t**2*t)/t*t)/t)**(2/75)/(t/(t*t*t/t**(-5)*t))**32)**19 assuming t is positive.
t**(364762/75)
Simplify (c**38*c)/c*c**(-2/27)*(c**19/c)**(2/25) assuming c is positive.
c**(26572/675)
Simplify ((s**(3/5)/s)/(s*s*s*s**(7/5)*s*s*s*s*s))/(s/(s*s**(-33))*s**(-44)/s) assuming s is positive.
s**(11/5)
Simplify (((i**(1/4)*i)/(i*i/(i*i*i**7/i*i)))/(i**(-1/2)/(i/i**7)))/((i**(1/2))**(-27)/(i**(-4/3)*i/i**(-2/7))) assuming i is positive.
i**(1361/84)
Simplify ((r**(-4)*r**(1/5)*r)/(r**6*r**(-2/27)))/(r**(-1)*r**(3/4)*(r**(1/4)*r)**(-20/3)) assuming r is positive.
r**(-77/540)
Simplify w**(2/7)/(w/(w**(-4)*w*w))*w/w**(-3)*w*w*w**(-3)*w/(w/(w*w/w**(-4/3)))*w**2/w*(w/((w/(w*w**(-1/4)))/w))**49 assuming w is positive.
w**(7591/84)
Simplify ((h**21*h)/(h*h*h*h**(-13)/h)*(h*h*h/h**(-13/3)*h*h)/(h*h/h**(2/17)))**45 assuming h is positive.
h**(30945/17)
Simplify (w**(-19))**(17/3)/(w*(w**(4/17)/w)/w)**(1/17) assuming w is positive.
w**(-93308/867)
Simplify ((h**(-9/7)/(h**2*h))/((h/((h/(h/h**(-4)))/h))/((h*h**(-14)*h)/h)))**2 assuming h is positive.
h**(-326/7)
Simplify ((a/(a/(a/(a**(5/2)*a))))/a**(-17)*(a/(a*a**(10/7)))**39)**(-38) assuming a is positive.
a**(10963/7)
Simplify (u/u**6)/((u*u**(-2))/u)*((u/(u*u*u*u**6*u))/u)/u*u/u**(2/11)*(u**6/((u*u**1)/u))/(u**5*u**5) assuming u is positive.
u**(-200/11)
Simplify (((w**(-3)*w)/w*w)**3*w*w**32*(w*w**11/w*w*w)/w)**(-17) assuming w is positive.
w**(-663)
Simplify ((y**(-6)/((((y*(y/(y/(y*y/y**4)))/y)/y)/y*y)/y))/(y**1)**(14/3))/((((y*y**(-1))/y)/y)**(-21))**(-1/15) assuming y is positive.
y**(-58/15)
Simplify ((y**5/y**12)/(y*y*y/(y/y**(-9/7))*y**2*y))**(-20) assuming y is positive.
y**(1500/7)
Simplify ((r*r**4*r*r*r**(-6))/(r/r**(-4)*(r*r**10)/r))**(3/5) assuming r is positive.
r**(-42/5)
Simplify (h/(h/h**(2/3))*h/(h**3/h))/((h**(-3)*h)/h*h**(2/3))*((h**(-2))**(-3/16))**(-2/25) assuming h is positive.
h**(197/100)
Simplify ((g/g**(-42))/g**(-9))/(g**36*g**(24/7)) assuming g is positive.
g**(88/7)
Simplify (b**5/((b/b**2)/b)*(b/(b/b**(-2/9)))/(b/b**(-2)))**(-10) assuming b is positive.
b**(-340/9)
Simplify (c**(-6/11))**22*(c/(c/c**11))**(-5/3) assuming c is positive.
c**(-91/3)
Simplify (c**(-3/4))**(3/8)/(c/c**26)**(2/11) assuming c is positive.
c**(1501/352)
Simplify (i**(3/4)*i*i*i**3)**(-23)/((i*i*i*((i/((i/i**2*i*i*i)/i))/i*i)/i*i)**(5/4))**(3/22) assuming i is positive.
i**(-11683/88)
Simplify (w**(3/17)/w*w*w*w**(-12)*w*w**(-7)*w*w*w/(w/((w*w**36/w)/w)))**(-31) assuming w is positive.
w**(-10633/17)
Simplify (((c*c**(-2/5)*c)/c)**(-19)*(c*c**(16/7))/c**(3/10))**11 assuming c is positive.
c**(-6479/70)
Simplify (l**(-10)*l**13*l**(2/45)/(l/(l*l**(-1/4)/l*l*l)))**(5/3) assuming l is positive.
l**(683/108)
Simplify ((b**(-14/3)/(b**7/b*b))/(b**(2/9)*(b**5*b)/b))**1 assuming b is positive.
b**(-152/9)
Simplify ((l**(-1)*l*l)**(2/11)/((l/(l/l**6*l))/l**(-1/3)))/((l*l*l**(-2/19))/(l/(((l/l**(1/3))/l)/l)))**21 assuming l is positive.
l**(2545/627)
Simplify (((d**(-1/2)/d)/(d/(d/d**(1/6))*d))/(d/(d/d**(2/5)))**48)/((((d*d**2)/d)/d)**(-6))**(-35) assuming d is positive.
d**(-3478/15)
Simplify ((f/(f*f*f**3/f)*f*f/(f*f/f**(-5)*f*f*f))/(f**(3/10)/f*f*f/f**(2/3)))/(f**5*f**(1/5)*f/f**(-2/13)*f**(-5)) assuming f is positive.
f**(-1013/78)
Simplify ((m**(-6)/(m/(m/(m/(m/(m/(m/m**(-12))*m))))))/(m*m**(4/7)/m*m*m**13))**(-14) assuming m is positive.
m**134
Simplify ((p*p**7)/p**5)/(((p/(((p**(-7)/p)/p*p*p)/p))/p*p)/(p/p**(-2/13)))*(p**(-7)/(p*(p/(p*p**(-2/5)/p))/p))**38 assuming p is positive.
p**(-21063/65)
Simplify (p**16*p**(-24)/p)/(p**(14/3)*p**43*p) assuming p is positive.
p**(-173/3)
Simplify (p**10/(p/p**7))**(4/5)*((p*p/(p*p**(2/11)))**12)**(-18) assuming p is positive.
p**(-9016/55)
Simplify (g**(3/7)*g*(g*g*g**(-17)*g)/g*(g**(-2/105)*g)/(g*g**21))**29 assuming g is positive.
g**(-105328/105)
Simplify ((u/(u**(-10)/u)*u)/(u/u**(-5)*u)*u*(u*(u/((u*u**(-2/23))/u))/u)/u*u**18/u)**(-45) assuming u is positive.
u**(-24930/23)
Simplify c**0*c/c**(-3/22)*c/c**(-23)*(c**21/c)/c assuming c is positive.
c**(971/22)
Simplify (a**(-20)/(a*a**1/a*a)*a*a**12*a*a**(-19))**(-3/8) assuming a is positive.
a**(81/8)
Simplify (((((l**9*l*l)/l)/l)/(l/(l*l**15)))/(l**12)**35)**49 assuming l is positive.
l**(-19404)
Simplify ((o/o**(-1))**(-24)*(o**9/o)/(o**(-5/4)*o))/(((o*o**(2/13)*o)/(o/o**(2/9)))/(o*o/((o*o**(-2/5))/o)*o**(2/9))) assuming o is positive.
o**(-10011/260)
Simplify (x**(-1/4)*x*x)**50*(x**(-31)/x*x)/((x/(x/x**(1/18)*x))/x) assuming x is positive.
x**(526/9)
Simplify ((j*j*j**(-2/13))/j*j*j*j/j**(-3/2)*j*j**(-1)*j*j*j/(j*j/j**39))**(-36/5) assuming j is positive.
j**(-21222/65)
Simplify ((s**(2/7))**44/(((s*s*s**3)/s)/((s/(s*s**(-3)))/s)))/((s**(-2))**(-1/12))**(-26/9) assuming s is positive.
s**(2089/189)
Simplify (((p/p**22)/(p**(-19/3)*p))/((p/(p**14/p))/(p*p**17/p*p)))**(-1/16) assuming p is positive.
p**(-43/48)
Simplify ((s*s**(-1/5))/s**(-7))**(-4/9)/((s/(s*s/(s**(-2/9)*s)))/s**(-1/10)*s**(3/5)*s*s/(s*(s/s**(-1))/s*s*s)*s) assuming s is positive.
s**(-53/18)
Simplify ((w**(-5))**35/(w/(w**10/w))**(5/17))**(-12) assuming w is positive.
w**(35220/17)
Simplify ((h/h**(5/11))**(-35)/(h**(-7/2)*h**15))**(-43) assuming h is positive.
h**(28939/22)
Simplify (r**(-2/5))**(-11/5)/(r/(r/((r/((r**(-1)*r)/r))/r))*r)**(2/75)*((r**(2/5))**(-7))**21 assuming r is positive.
r**(-4348/75)
Simplify ((u*u*(u*u*(((u/(u*u*u**(1/3)/u))/u)/u)/u*u*u)/u*u*u*u*u)**(2/79))**(6/35)*((u**(-5)*u)/(u/(u/(u*u/(u**(-1)/u*u)*u))))**(-8) assuming u is positive.
u**(177028/2765)
Simplify q/(q*(q*q/(q/(q/q**(-28/9))))/q)*q/q**(-22/5)*q**(1/11)/q**(-4/15) assuming q is positive.
q**(163/99)
Simplify (((j*j**(2/17))/j*j)/(j*j*j/j**(2/13))*(j*j**(1/50))/j**(3/5))**(2/93) assuming j is positive.
j**(-14459/513825)
Simplify ((i*(i*i**(1/2)/i)/i)/(i**(-2/17)*i)*(i*i*i/(i**(-1/3)/i))**36)/((i**4/(i*i/(i*i**(2/11))))/(i*i**(-2/5))**(-15)) assuming i is positive.
i**(53645/374)
Simplify ((j*j**(-1/14)*j*j*j)/(j*j**(-1/6)))**(-4)*j/(j/(j*j**(-6)/j))*j**4*(j*j**1)/(j*j*j/j**(1/4)*j) assuming j is positive.
j**(-1355/84)
Simplify p**(-1/2)*p/p**(2/7)*(p/(p*p*p/(p/(p**(4/21)*p))*p))**(-1/25) assuming p is positive.
p**(359/1050)
Simplify (((p/p**(3/5)*p*p*p)/p* | {
"pile_set_name": "DM Mathematics"
} |
1 = 4*v + 67*w. Is v a multiple of 9?
False
Suppose 0 = -88*x + 1015933 - 296885. Is 32 a factor of x?
False
Let c = 104885 - 48767. Does 47 divide c?
True
Suppose a + 5*v = 46, -3*v + 89 = 4*a - 10. Suppose -15 - a = -6*p. Does 23 divide (-20)/p*1104/(-40)?
True
Let n(z) = 87*z**3 + 2*z + 2. Suppose -15*y = -17*y - 2. Let k be n(y). Let s = 12 - k. Is 9 a factor of s?
True
Let x(c) = 3 + 20*c + 11 + 4*c**2 - 6*c - 17*c. Does 21 divide x(-8)?
True
Suppose -4*b + 3*i + 17 = 0, 2*b - 3*i - 13 = -0*i. Suppose 3*x - 2*x = -5*t - 17, 0 = -b*t - 4*x - 14. Let a(u) = 6*u**2 - 3*u + 4. Is a(t) a multiple of 10?
False
Let v(z) be the first derivative of -19*z**2 - 46*z - 9. Let r be v(9). Is 2/(-1) - (-3 + r/4) a multiple of 51?
False
Let c be (-2 - 10/(-4))*(-24)/(-6). Suppose -c*u + 2*x = -2*x - 20, 5*u = 4*x + 26. Let t(m) = 65*m - 19. Is t(u) a multiple of 37?
True
Let p = -241 + 388. Suppose -10*z = p - 467. Suppose z*w - 184 = 28*w. Is 46 a factor of w?
True
Let m = 8 + -5. Suppose m*l - 4*l - 222 = 0. Let f = -150 - l. Is f a multiple of 15?
False
Let h(x) = x**2 - 2*x - 17. Let v be h(6). Let q(a) = 1 + v + 4 + 6 - 2*a. Is 2 a factor of q(8)?
True
Let u(q) = q**3 - 20*q**2 + 153*q - 15. Does 3 divide u(13)?
False
Let o = -6147 + 13395. Is 20 a factor of o?
False
Let b be -5 - -3 - (51 + 0 - 3). Let i = 4 + -33. Let w = i - b. Is w a multiple of 16?
False
Suppose -4*n - 15 = -n. Let h be (-109 + -1)*n/2. Suppose 6*j = j + h. Is 11 a factor of j?
True
Is 27 a factor of ((-56034)/1415)/(1/(-300))?
True
Let o be 4 + (-27)/(-6)*(-20)/(-6). Let v(u) = -u**2 + 34*u + 43. Is 14 a factor of v(o)?
False
Let p = 2810 + -1526. Is 21 a factor of p?
False
Suppose 2*t + 3*n + 10 = 28, 5*t + 4*n - 31 = 0. Suppose v + 7 = -t. Let r(l) = -l**3 - 10*l**2 - l + 2. Is 6 a factor of r(v)?
True
Suppose -19587 - 8583 = -10*r. Is 3 a factor of r?
True
Suppose -59*l + y = -63*l + 79340, -l - 2*y + 19828 = 0. Is 29 a factor of l?
True
Let l(c) = c**2 - 4*c - 19. Let j be l(6). Let x be j - (-1 - (2 + -2)). Let f(k) = -k + 1. Does 6 divide f(x)?
False
Let k(v) = 3*v + 37. Let g be k(-11). Suppose m + g = 520. Is m a multiple of 45?
False
Let i(p) = 12*p**2 - 41*p - 136. Is 36 a factor of i(15)?
False
Let c = 5240 + -3738. Is c a multiple of 7?
False
Let s be ((-100)/15)/(4/(-12)). Suppose 0 = s*d - 8*d - 444. Does 30 divide d?
False
Let z = -19482 - -23284. Does 25 divide z?
False
Suppose 1873020 = 187*z + 409558. Is z a multiple of 26?
True
Is 18 a factor of (15/30)/((-115605)/(-23120) + -5)?
False
Let v = -560 + 739. Suppose -3*z + v = -685. Does 24 divide z?
True
Let k(w) = 52*w - 32 - 11 - 7 + 2*w**2. Does 89 divide k(-34)?
False
Let h(x) = x**2 + 6*x - 3. Let c be h(-5). Let d(m) = -m**3 - 4*m**2 - 14*m - 25. Is d(c) a multiple of 15?
False
Suppose -35 = -93*k + 92*k. Is 11 a factor of 15/(-25) + 6951/k?
True
Let r = 9 - 8. Let p(s) = r - 3*s + 18*s**2 - 14*s**2 - 11*s. Is 11 a factor of p(6)?
False
Let a = 45 + -43. Suppose -5*j - 2*b + 440 = 2*b, -a*b = -5*j + 410. Is j a multiple of 25?
False
Suppose x + 78 = 112. Let f(l) = -3*l**2 + 116*l + 28. Does 84 divide f(x)?
True
Let i = 3398 - 2318. Is i a multiple of 12?
True
Let v = -15489 + 15705. Is v a multiple of 76?
False
Let h be 70/42*12/10. Suppose 0 = 3*u + 4*y - 198, -h*u + 117 = -2*y - 29. Does 14 divide u?
True
Let t(a) be the third derivative of -a**6/120 + 7*a**5/20 - 13*a**4/24 + a**3/6 - 71*a**2. Is 47 a factor of t(20)?
True
Suppose -b + 20 = -5*z, -4*z + 4*b + 2 - 18 = 0. Is (z - -5 - (-221 + 1)) + -1 a multiple of 22?
True
Let b(i) = -i**3 + 10*i**2 + 11*i. Let r be b(11). Let v be (-162)/(-12)*(2 - r). Suppose -v*h + 21 = -24*h. Is 2 a factor of h?
False
Let l be 144 + 1 + 5 - -5. Let r = -29 + l. Is 14 a factor of r?
True
Is 15 a factor of (-558790)/(-55) + 81/(-99) + 1?
False
Let x(c) = 2*c**3 + 62*c**2 - 8*c - 494. Is x(-29) a multiple of 11?
True
Suppose 0 = b + 3*p - 828, -5*b - 2811 + 6991 = 5*p. Suppose -b = 13*w - 18*w. Is w a multiple of 7?
True
Suppose 2*f = 3*t - 312, 5*t - 10 = -0*t. Let l = f - -414. Is 29 a factor of l?
True
Suppose 0 = 2*c - 14, 70621 = 6*z + 4*c - 9*c. Is 46 a factor of z?
True
Is 5 a factor of (10178/(-70))/(20/(-1000))?
True
Suppose 9*g - 24*g + 28320 = 0. Does 118 divide g?
True
Let t(p) = -p**3 - 6*p**2 - 4*p + 9. Let n be t(-5). Let j be -291 + 6 - -1*n. Let d = 400 + j. Does 12 divide d?
False
Let p = 197 - 193. Suppose -2*h = -p*o - 2, 0*o + 2*o - 26 = -2*h. Is h even?
False
Let x = 765 - 858. Suppose -w + 2*w + 36 = 0. Let a = w - x. Does 14 divide a?
False
Let m(s) = -s**2 + 29*s - 65. Let r be m(25). Let t = 21 - 14. Suppose t*w - r - 196 = 0. Is 13 a factor of w?
False
Is 3*7/(-42) - ((-9421)/2)/1 a multiple of 15?
True
Let b(i) = -i**3 + 17*i**2 + i + 52. Let m(n) = 6*n**3 + 25*n**2 + n + 4. Let x be m(-4). Is b(x) a multiple of 12?
True
Let o = -4071 + 10021. Does 35 divide o?
True
Suppose -6*y = -y - 17460. Suppose -6*k + 1499 = -4*o + 6155, 0 = -3*o + 4*k + y. Does 97 divide o?
True
Let m = 8 - 26. Let n be (m/(-5))/(-6) + 204/15. Let r = 9 + n. Is r a multiple of 13?
False
Let f = 25 + -20. Suppose 2*m = -f*n + 303, -3*m + 460 = -0*m + 2*n. Suppose 31 = c - m. Is c a multiple of 54?
False
Suppose 6 = 2*t + 4*c, 7*t - 3*c - 28 = 2*t. Suppose -q - 245 = -2*p - 0*q, -5*q = -t*p + 610. Suppose 237 = 4*v - p. Is v a multiple of 15?
True
Let w(r) = -226*r - 789. Is w(-39) a multiple of 107?
True
Suppose 1781797 + 129203 = 7*j + 63*j. Does 21 divide j?
True
Suppose -45*h + 112223 + 373338 = -60469. Does 199 divide h?
False
Let i(d) = d**3 - 12*d**2 - 10*d. Let p be i(14). Let c be 13/(-65) - p/(-10). Suppose -2*k - 2*h = -k - c, 5*h = 20. Is 6 a factor of k?
False
Suppose -2*x = -12, -7*b + x + 170 = -6*b. Does 88 divide b?
True
Let q = -12727 + 19916. Does 3 divide q?
False
Let p = 9 + -4. Suppose 0 = 37*g - 272 - 142 - 363. Is 7/(g/72) - (-2 + p) a multiple of 9?
False
Let j(g) = -2*g + 24. Let n(u) = -1. Let o(v) = j(v) - 2*n(v). Let h be 5 - (-17 + (-50)/(-5)). Is o(h) even?
True
Does 15 divide 3597 - (20/(-5) - 11)?
False
Let p = 2027 - 253. Let x = p - 1022. Does 22 divide x?
False
Suppose -26*f - 2791 = 2019. Let u = -226 + -67. Let i = f - u. Is i a multiple of 12?
True
Suppose 12*q - 39751 + 11661 = 17774. Does 147 divide q?
True
Suppose 13*o - 14*o + 4917 = q, -8*q - 3*o + 39346 = 0. Is 13 a factor of q?
False
Suppose 31 - 8 = j. Suppose 8 = -3*a + j. Suppose -301 - 331 = -4*s + a*n, 0 = -2*n. Is s a multiple of 28?
False
Suppose 0 = 3*i + 5*t + 9, 0*i = -2*i + 5*t - 31. Let w(l) = 25*l + 120. Let k(g) = 38*g + 180. Let a(n) = 5*k(n) - 8*w(n). Is a(i) a multiple of 14?
False
Let r(q) = 2*q. Let a(k) = 2*k**2 - 5*k - 19. Let v(x) = -a(x) - 5*r(x). Let n be v(6). Let f = 122 + n. Is f a multiple of 8?
False
Let y(x) = -29*x + 13. Let i = -100 - -88. Is 29 a factor of y(i)?
False
Let v be (5 - -6)/(1/(-5)). Let y = v + 73. Is 9 a factor of (-3 - 11/(-2))*y/3?
False
Suppose 0 = 2*l + 2*q - 8391 - 9953, 2*q - 9176 = -l. Is 12 a factor of l?
True
Let f = -493 + 1956. Does 11 divide f?
True
Let w(n) = 2*n**2 - 2*n - 7. Let u be w(4). Suppose 4*q - u - 527 = 0. Does 27 divide -1 + 1 + -3 + q/4?
False
Let o(h) = h**3 - 6*h**2 - 13*h - 8. Let s be o(-4). Let v = s - -264. Is v a multiple of 13?
False
Let v(h) = -h**2 + 57*h + 18. Let g be v(18). Let l = g - 398. Is 32 a factor of l?
False
Suppose -89*x + 90*x = 868. Suppose 1196 + x = 8*l. Is l a multiple of 8?
False
Suppose 46*l = 47*l - 1. Does 15 divide -3*((-588)/9 - 0) - l?
True
Let q(w) = -w**3 + 9*w**2 - 3*w + 24. Let b be q(10). Let z = 144 + b. Suppose 2*x - 196 + z = -4*f, 5*f = 25. Does 23 divide x?
True
Suppose 2*p - 34917 = -z, z + 3*p - 5*p = 34905. Does 81 divide z?
True
Let t = 2920 + -387. Is t a multiple of 17?
True
Suppose -47*p - 213 = -1623. Does 5 divide p?
True
Let q(m) = 2*m**2 + 12*m - 8. Let v be q(8). Let i be (-4)/(v/(-52) - -4). Is 22 a factor of 1634/i - -3 - (-4)/26?
True
Suppose -22*y + 3848 = -376. Let f = y - -64. Is 28 a factor of f?
False
Let n = -6386 - -9182. Does 13 divide n?
False
Let x(f) = -9*f**2 + 5*f + 6. Let a be x(-1). Let c(y) = y**3 + 15*y**2 + 17*y + 29. Is c(a) a multiple of 11?
True
Let h(j) = j**3 - 8*j**2 + 6*j - 3. Let f be h(6). Let c = 20 - f. Sup | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from {c: 4, i: 1, b: 1, v: 2, t: 2}.
1/630
What is prob of sequence ae when two letters picked without replacement from {e: 2, b: 1, m: 3, s: 1, g: 3, a: 2}?
1/33
What is prob of sequence twt when three letters picked without replacement from tttwwwtt?
5/28
What is prob of sequence tyy when three letters picked without replacement from {e: 1, q: 2, y: 8, t: 1, n: 2, v: 6}?
7/855
Three letters picked without replacement from gccjgggjzpccgjtgtg. What is prob of sequence pjz?
1/1632
Two letters picked without replacement from fftaftf. Give prob of sequence at.
1/21
What is prob of sequence wwht when four letters picked without replacement from {h: 5, w: 2, b: 2, t: 4, c: 1, i: 1}?
1/819
Three letters picked without replacement from {c: 9, y: 2, r: 7}. Give prob of sequence rcc.
7/68
What is prob of sequence ln when two letters picked without replacement from {l: 1, t: 3, n: 1, z: 2, a: 7}?
1/182
Two letters picked without replacement from vhmhmvhmvvvmvh. Give prob of sequence mh.
8/91
Four letters picked without replacement from pplplppppppplpplpp. What is prob of sequence ppll?
91/3060
Calculate prob of sequence wlw when three letters picked without replacement from {r: 2, x: 13, l: 1, w: 3}.
1/969
Three letters picked without replacement from thh. Give prob of sequence tth.
0
Calculate prob of sequence bb when two letters picked without replacement from fffffffbffffffbffff.
1/171
Calculate prob of sequence rmr when three letters picked without replacement from mpbupppuprmmurbrbm.
1/204
What is prob of sequence xdh when three letters picked without replacement from {x: 1, d: 1, h: 3}?
1/20
What is prob of sequence ap when two letters picked without replacement from {s: 6, j: 1, p: 2, a: 9, c: 1, e: 1}?
9/190
Three letters picked without replacement from {y: 2, q: 9}. Give prob of sequence qqy.
8/55
Three letters picked without replacement from xxxxxxkxxxkx. What is prob of sequence kkx?
1/66
What is prob of sequence inn when three letters picked without replacement from inemn?
1/30
Calculate prob of sequence rrr when three letters picked without replacement from {r: 5, e: 8}.
5/143
Two letters picked without replacement from {n: 2, a: 2, y: 1, l: 1, x: 2}. What is prob of sequence ay?
1/28
Three letters picked without replacement from {z: 7, w: 4, v: 2, b: 2, q: 5}. Give prob of sequence qbb.
1/684
What is prob of sequence xfx when three letters picked without replacement from {f: 12, x: 3}?
12/455
Calculate prob of sequence wklp when four letters picked without replacement from {p: 1, k: 2, w: 6, l: 4}.
2/715
What is prob of sequence mbm when three letters picked without replacement from {m: 5, b: 13}?
65/1224
Calculate prob of sequence oo when two letters picked without replacement from ozzzozzznpnuuzzgzzz.
1/171
What is prob of sequence phph when four letters picked without replacement from pphp?
0
Three letters picked without replacement from {f: 1, n: 1, x: 2, b: 2, m: 2, i: 1}. What is prob of sequence bmn?
1/126
Three letters picked without replacement from {m: 1, j: 1, r: 2, l: 1, p: 1, b: 1}. What is prob of sequence mpb?
1/210
What is prob of sequence mv when two letters picked without replacement from vmffmmsfsffmmfvfvv?
10/153
Three letters picked without replacement from {n: 7, b: 6}. Give prob of sequence nnn.
35/286
Two letters picked without replacement from mmmxmxmmmmxmmm. Give prob of sequence xx.
3/91
Two letters picked without replacement from lcnollllcloolloo. Give prob of sequence nn.
0
Calculate prob of sequence rwa when three letters picked without replacement from araaaaraaraawaa.
11/910
Two letters picked without replacement from fjqqjx. What is prob of sequence jj?
1/15
Two letters picked without replacement from tttuxuxuuttuu. What is prob of sequence xx?
1/78
Four letters picked without replacement from {e: 1, o: 1, v: 2, n: 2, p: 2, a: 1}. Give prob of sequence opvv.
1/756
Calculate prob of sequence iill when four letters picked without replacement from {n: 2, l: 13, i: 3}.
13/1020
Calculate prob of sequence fffe when four letters picked without replacement from efeefeffvfv.
1/33
What is prob of sequence rry when three letters picked without replacement from yrrrpyyryy?
1/12
What is prob of sequence sa when two letters picked without replacement from {a: 6, i: 2, s: 10}?
10/51
Calculate prob of sequence rr when two letters picked without replacement from {r: 2, q: 6}.
1/28
Two letters picked without replacement from itiiittittiiiiitii. Give prob of sequence ti.
4/17
Three letters picked without replacement from secqq. Give prob of sequence qcq.
1/30
Two letters picked without replacement from ltizbiizllblbi. Give prob of sequence tt.
0
Three letters picked without replacement from {a: 2, d: 4, k: 3}. What is prob of sequence kad?
1/21
Four letters picked without replacement from {p: 2, z: 1, q: 2, m: 1, c: 2, j: 1}. What is prob of sequence jcqc?
1/756
Four letters picked without replacement from wbvbuybbiuubvii. Give prob of sequence uibu.
1/364
What is prob of sequence uju when three letters picked without replacement from uujuujuuujuuuj?
15/91
Two letters picked without replacement from yvybbybbpivpgby. Give prob of sequence gp.
1/105
Four letters picked without replacement from {j: 12, h: 3, e: 3}. Give prob of sequence jjej.
11/204
Calculate prob of sequence iyi when three letters picked without replacement from {i: 2, y: 1, z: 1}.
1/12
Calculate prob of sequence tdug when four letters picked without replacement from {t: 1, d: 3, u: 1, v: 1, g: 1}.
1/280
Two letters picked without replacement from sslsssl. What is prob of sequence sl?
5/21
Two letters picked without replacement from {i: 2, m: 6, y: 1, z: 4}. Give prob of sequence iy.
1/78
Calculate prob of sequence nhnh when four letters picked without replacement from {n: 2, h: 6, q: 9}.
1/952
Two letters picked without replacement from qqqqqyqqqqqqqk. What is prob of sequence kq?
6/91
Three letters picked without replacement from {g: 1, p: 1, r: 2}. Give prob of sequence gpr.
1/12
Calculate prob of sequence sas when three letters picked without replacement from ootxsotaaoooosawww.
1/816
Three letters picked without replacement from {d: 1, t: 5, u: 1, r: 5, g: 1, h: 1}. Give prob of sequence guh.
1/2184
Calculate prob of sequence gete when four letters picked without replacement from grefbegtf.
1/756
What is prob of sequence qbb when three letters picked without replacement from ggqqpgbppbp?
2/495
Calculate prob of sequence kriw when four letters picked without replacement from rwwwffiwkfiiw.
1/1144
Calculate prob of sequence azq when three letters picked without replacement from zaqqaaaaqaaazaqa.
1/42
Calculate prob of sequence xce when three letters picked without replacement from {a: 1, x: 2, e: 1, y: 4, c: 1}.
1/252
Four letters picked without replacement from {w: 5, t: 1, l: 3, n: 1, d: 2}. What is prob of sequence lldd?
1/990
Calculate prob of sequence lwy when three letters picked without replacement from {w: 2, n: 1, f: 1, y: 1, l: 1, t: 1}.
1/105
Three letters picked without replacement from {f: 4, e: 1, i: 3}. What is prob of sequence eff?
1/28
Three letters picked without replacement from xxxxxmxmx. What is prob of sequence xmx?
1/6
Three letters picked without replacement from {j: 7, u: 3, y: 4, i: 1, z: 2}. What is prob of sequence yiy?
1/340
Calculate prob of sequence xtet when four letters picked without replacement from {u: 1, e: 1, t: 2, q: 1, x: 1, r: 2}.
1/840
Calculate prob of sequence gggv when four letters picked without replacement from vvgvvgvvvgv.
1/165
What is prob of sequence umv when three letters picked without replacement from {v: 2, m: 1, k: 1, u: 1}?
1/30
Four letters picked without replacement from {r: 4, w: 1, y: 4, p: 6}. Give prob of sequence rrpw.
1/455
Calculate prob of sequence ibi when three letters picked without replacement from {b: 1, t: 1, n: 6, p: 6, k: 2, i: 2}.
1/2448
What is prob of sequence co when two letters picked without replacement from {o: 1, l: 1, s: 1, c: 2, p: 1, y: 1}?
1/21
What is prob of sequence fffz when four letters picked without replacement from ccfffvffcczc?
1/198
Three letters picked without replacement from {c: 10}. What is prob of sequence ccc?
1
Calculate | {
"pile_set_name": "DM Mathematics"
} |
second derivative of 1076*q**5 + 379*q**3 + 2*q**2 - 26*q + 43605 wrt q.
21520*q**3 + 2274*q + 4
Find the second derivative of 430*o**2*u**2 + 81*o**2*u + 10*o**2 - 18832*o*u**2 + 5*o + 8*u wrt o.
860*u**2 + 162*u + 20
What is the derivative of -4*x**4 + 2*x**3 - 124435*x - 20493120?
-16*x**3 + 6*x**2 - 124435
What is the second derivative of 19531*q**2*w**2 + 941*q**2*w - 335*q*w**2 + 2*q - 2*w**2 + 3085 wrt q?
39062*w**2 + 1882*w
Find the first derivative of 41874621*r**2 + 314331457 wrt r.
83749242*r
Find the second derivative of -18241791*h**5 - 30*h - 250914 wrt h.
-364835820*h**3
Find the third derivative of 51*g*p**4 - 894430*g*p**2 + g*p - 123689*p**5 - 14*p**3 - 2*p**2 + 2*p + 49 wrt p.
1224*g*p - 7421340*p**2 - 84
What is the second derivative of 12725840*u**2*y + 3839765*u*y - y wrt u?
25451680*y
Differentiate -3*j**2*l - 2321*j**2 - 1127*j - 367482057*l wrt j.
-6*j*l - 4642*j - 1127
What is the second derivative of 36735000*f**3*h*z**2 - 25*f**3*h*z + 3073*f**2*h*z + f**2*z - 14*h*z wrt z?
73470000*f**3*h
Find the second derivative of 7418895*x**5 - 1992705*x + 2.
148377900*x**3
What is the second derivative of 702813243*i**2 - 886208868*i wrt i?
1405626486
Differentiate 88654488*g - 80329107 wrt g.
88654488
Find the first derivative of 2799551*f*n**3 + 4686597*n**3 wrt f.
2799551*n**3
What is the second derivative of -6386*a**3 + 919*a**2*q**2 - 91*a*q**2 + 2*a*q - 4*a - 2*q**2 - 2017*q wrt a?
-38316*a + 1838*q**2
What is the first derivative of -424301922*x**2 - 541694626?
-848603844*x
Find the first derivative of 47551*n**3*o - 2*n**3 + n**2*o**2 - 8537591*n + 132*o**2 wrt o.
47551*n**3 + 2*n**2*o + 264*o
Find the second derivative of -1017918*t**4 + 51653203*t.
-12215016*t**2
What is the second derivative of -396*c**3*f**2 - 64*c**3*f + 7566*c**2*f**4 - 45190*c**2*f wrt f?
-792*c**3 + 90792*c**2*f**2
What is the third derivative of -71*r**5 + 222*r**4 + 349*r**3 - 78120014*r**2 wrt r?
-4260*r**2 + 5328*r + 2094
Find the first derivative of 3*m**3 - 85*m**2 + 78498*m - 25672897.
9*m**2 - 170*m + 78498
What is the derivative of 97219832*d**2*o - 3*d**2 - 6396*o - 53094 wrt d?
194439664*d*o - 6*d
Differentiate d**3 - 51805388*d**2 + 45046684 wrt d.
3*d**2 - 103610776*d
What is the second derivative of 3425555*v**3 + 2*v**2 + 8810566*v?
20553330*v + 4
What is the derivative of -q**3 - 218*q**2 - 6658*q - 17050598?
-3*q**2 - 436*q - 6658
Find the third derivative of 11*f**4 + 718899*f**3 + 56691834*f**2.
264*f + 4313394
Find the first derivative of -274806885*b - 252739291.
-274806885
What is the third derivative of -11*j**5 - j**4 - 655880*j**3 - 4688224*j**2 + 1?
-660*j**2 - 24*j - 3935280
What is the second derivative of -1627*g**2*n**2*q - 2*g**2*n**2 - 728*g**2*q - 551709*g*n - g*q - 3*g + 3*n**2*q wrt g?
-3254*n**2*q - 4*n**2 - 1456*q
What is the third derivative of 412*b*u**4 + 320545*b*u**3 + 12581*b*u**2 - 1878*b wrt u?
9888*b*u + 1923270*b
What is the derivative of -6*i**2*y*z**3 - 369*i**2*z**2 + i*z**2 - 3236450*y + 706*z**3 - 19 wrt y?
-6*i**2*z**3 - 3236450
Differentiate -127*a*c**2 + 8*a*c - 62482*a + 3593105*c**2 - 3*c + 7 wrt a.
-127*c**2 + 8*c - 62482
Find the second derivative of 791800*l**2 - 10085209*l wrt l.
1583600
Differentiate 1044601022*p**3 + 1011630750 wrt p.
3133803066*p**2
Find the third derivative of -206101*i*p**5 + 221*i*p + 29*p**4 - p**2 + 5124 wrt p.
-12366060*i*p**2 + 696*p
Find the third derivative of 12451231*i**4 - 25*i**2 - 1386*i + 1 wrt i.
298829544*i
What is the derivative of -8644038*x + 229878651 wrt x?
-8644038
Find the third derivative of -799*k**5 - 1297*k**4 + 9*k**3 - 52429*k**2 - 147*k.
-47940*k**2 - 31128*k + 54
What is the second derivative of -1737*c**4 - c**3 - 59*c**2 - 37968116*c wrt c?
-20844*c**2 - 6*c - 118
Differentiate 2*m*r**2 + 11*m*r - 4*m + 14*r**2 + 15995*r + 78628012 with respect to r.
4*m*r + 11*m + 28*r + 15995
What is the second derivative of -4*r**4 - 3*r**3 + 245122*r**2 - 7384*r - 1331 wrt r?
-48*r**2 - 18*r + 490244
Find the first derivative of 17530769*q + 27906129 wrt q.
17530769
Differentiate 431*d**2*q + 2*d**2*w + 2*d**2 - 8*d*q*w - 16*d*q - d*w + 98*d + 13*w - 1 with respect to q.
431*d**2 - 8*d*w - 16*d
What is the third derivative of -3*j**6 - 18301074*j**4 - 51451929*j**2?
-360*j**3 - 439225776*j
Find the second derivative of -q**5 - 8*q**4 + 262806*q**2 + 12226490*q.
-20*q**3 - 96*q**2 + 525612
What is the second derivative of 192*k*t**3 - 191*k*t**2 - 846459*k*t + 3*t**3 + 3*t**2 + 66 wrt t?
1152*k*t - 382*k + 18*t + 6
Find the second derivative of 8094135*f**2 + 16784194*f.
16188270
Find the third derivative of 5*g*r**4 - 70726652*g*r**2 + 2048984*r**4 wrt r.
120*g*r + 49175616*r
What is the first derivative of 52468711*v - 50117658 wrt v?
52468711
What is the second derivative of 853650*d**2*y**2 - d**2 + 18*d*y**2 - 2*d*y + 323215*y**2 wrt d?
1707300*y**2 - 2
Differentiate -15412888*m**3 - 96001305 wrt m.
-46238664*m**2
What is the derivative of 5*l**4*o + 106041*l**4 + 5842902*o wrt l?
20*l**3*o + 424164*l**3
What is the second derivative of -295659420*l**3 + l + 31288548?
-1773956520*l
Find the first derivative of -147*a*d*h + 6128*a*d - 2*a*h - 15*a - 61*d*h + 113*d - 4418*h wrt a.
-147*d*h + 6128*d - 2*h - 15
Find the second derivative of 102225060*q**3 + 215*q + 139545.
613350360*q
Differentiate -60*m*r + 27792*m + 5987922*r with respect to m.
-60*r + 27792
What is the third derivative of -29775386*d**3*t + 153*d**2*t - 1534*d**2 + 8*d*t + 2*d + t wrt d?
-178652316*t
Find the first derivative of -103708079*w**2 + 200774931.
-207416158*w
What is the second derivative of 2*r**5*v - 1351827*r**3*v + 2*r**3 - 8*r - 14979*v wrt r?
40*r**3*v - 8110962*r*v + 12*r
Find the second derivative of -5926316*x**2 + 14554512*x wrt x.
-11852632
What is the third derivative of -41448*a**5*m - 9690*a**4 - 2*a**2*m - 1842*a**2 + 15*a*m - 56*a wrt a?
-2486880*a**2*m - 232560*a
Find the second derivative of -5*m**3 - 2486*m**2 + 7880935*m wrt m.
-30*m - 4972
What is the third derivative of -110598*g**2*w**3 - g**2*w**2 - 6421*g**2 + 1067*g*w - 255*w**3 wrt w?
-663588*g**2 - 1530
Find the second derivative of -65554684*x**4 + 4046578*x - 4.
-786656208*x**2
Differentiate 6*l**3 + 17*l**2 + 1591*l + 10090945 wrt l.
18*l**2 + 34*l + 1591
Differentiate 6519618*i**4 - 13456595 wrt i.
26078472*i**3
What is the second derivative of 40653*m**4 + 1412*m**3 + 72018160*m?
487836*m**2 + 8472*m
Find the second derivative of b**3*z**2 - 3213*b**3 + 3*b**2*z**2 - b**2*z + 3*b**2 + 5*b*z**2 - 35*b*z + 12*z**2 + 1 wrt z.
2*b**3 + 6*b**2 + 10*b + 24
What is the first derivative of -413418984*k**2 + 384578278?
-826837968*k
What is the third derivative of 57*y**5 - 2*y**4 - 84*y**3 + 2*y**2 - 23*y - 83397?
3420*y**2 - 48*y - 504
Differentiate -78632712*v**4 - 22401033 wrt v.
-314530848*v**3
What is the third derivative of -1062*h**3*l**3 - 10183*h**3*l - 36*h**2*l**3 - 14*h**2 - 9*l**3 + 21*l**2 wrt h?
-6372*l**3 - 61098*l
What is the first derivative of -6749661*d - 11965058?
-6749661
What is the second derivative of 3*v**5 - 23204*v**4 - 50*v**3 - 20396125*v wrt v?
60*v**3 - 278448*v**2 - 300*v
What is the third derivative of 30750*g*w**4 - 59*g*w**3 + 7*g*w + 32*w**4 + w**3 - 20008844*w**2 wrt w?
738000*g*w - 354*g + 768*w + 6
Differentiate -1921*r**3 - r**2 - r - 65443111 wrt r.
-5763*r**2 - 2*r - 1
What is the third derivative of -32203526*m**4*t + 79*m**2*t - m*t - 196*m + 11*t - 1 wrt m?
-772884624*m*t
Find the first derivative of 26*m*r**2 + 56*m*r + 2418425*m - 658*r**2 - 2*r wrt r.
52*m*r + 56*m - 1316*r - 2
What is the derivative of 129221668*g - 297072719 wrt g?
129221668
What is the derivative of 6938847*j**4 + 32841194?
27755388*j**3
What is the second derivative of 2988*a**2*m*u**2*x - 85*a**2*m*u*x**2 - 2*a*m*u**2 - 47*a*u**2*x**2 + 9*a*u**2 - a*u + 36*m*u**2*x**2 wrt a?
5976*m*u**2*x - 170*m*u*x**2
Find the second derivative of -2381*p**4 - 6669*p**3 + 1066353*p + 22.
-28572*p**2 - 40014*p
What is the second derivative of -666*b**3 - 2894*b**2 - 19987591*b?
-3996*b - 5788
What is the first derivative of 3332037*a*i**2*o - 666*i**2 - 2223*i*o wrt a?
3332037*i**2*o
Find the second derivative of 14824636*d**2 + 4*d - 5008573 wrt d.
29649272
Find the third deriva | {
"pile_set_name": "DM Mathematics"
} |
s the nearest to -0.17 in -10, -2, -5, -2/21?
-2/21
Which is the nearest to -0.03? (a) 1/9 (b) 4 (c) 92 (d) 0.1
d
Which is the nearest to 0.1? (a) 3 (b) -0.5 (c) -4 (d) -0.1
d
Which is the nearest to 0.4? (a) -1/2 (b) -3 (c) 2/5 (d) 4/3
c
Which is the closest to 1? (a) -6 (b) -4 (c) -0.2 (d) -2/5
c
Which is the nearest to 0.2? (a) 6 (b) -1/7 (c) -24
b
Which is the nearest to 1/3? (a) 1/6 (b) -23 (c) -0.1
a
What is the nearest to 0 in 3, 0.41, 0.09, 2/5?
0.09
What is the closest to 0 in 0, 11, 0.3, 27?
0
Which is the nearest to 0.1? (a) 0.099 (b) -0.06 (c) 0 (d) -3
a
Which is the closest to -2/43? (a) -22/9 (b) 3/7 (c) -3/2
b
Which is the closest to -1? (a) -2/13 (b) -1/3 (c) 0.1 (d) 0.3
b
What is the closest to 2/7 in 8, 5, -0.2?
-0.2
Which is the nearest to 0? (a) -1/8 (b) 0.2 (c) 10
a
What is the closest to -2/3 in -1, 4, -0.5, -1/5?
-0.5
Which is the nearest to -4/3? (a) -0.1 (b) 4 (c) -100
a
What is the nearest to -1/4 in -3/7, 6, -4, -0.1?
-0.1
Which is the nearest to 1? (a) -1 (b) 0.09 (c) 1/9
c
Which is the nearest to -2/9? (a) -264 (b) 3 (c) 4 (d) 2/9
d
Which is the nearest to 1? (a) -2/23 (b) -2/5 (c) -6 (d) -1
a
Which is the nearest to -1? (a) 6 (b) 16 (c) 0.25 (d) -1
d
Which is the closest to -2/5? (a) -2/9 (b) 3 (c) -52
a
What is the closest to -1/4 in -1/3, 1.9, 0, -0.3?
-0.3
What is the closest to -2/5 in -0.4, 0.1, 5, -492?
-0.4
Which is the nearest to 3? (a) 0.1 (b) -0.3 (c) -0.05 (d) 66
a
Which is the nearest to -4? (a) 3 (b) -4 (c) -3 (d) 262
b
What is the nearest to -3.28 in -3, -3/5, -2/17?
-3
Which is the nearest to 0.6? (a) 3/4 (b) -4 (c) 1/3 (d) -1/4
a
Which is the nearest to 0.33? (a) -3 (b) 2 (c) 0
c
What is the closest to -2/9 in 255, -2/19, 2, 4?
-2/19
Which is the closest to -0.1? (a) -90 (b) 1/9 (c) -4/7
b
What is the closest to -1/4 in -14/13, 0.4, 4, 2/7?
2/7
Which is the closest to 0? (a) -4 (b) -1/11 (c) -18
b
What is the closest to -3 in -9/2, -0.1, 2/5?
-9/2
What is the nearest to 38 in 3, 1/34, -0.5, 0?
3
Which is the nearest to 1? (a) -0.2 (b) 899 (c) 3
a
What is the closest to -2 in -4, -1, -16?
-1
Which is the closest to 2/15? (a) 1 (b) 3 (c) -2/13
c
Which is the nearest to 0.1? (a) -3 (b) -1.6 (c) -4/11
c
Which is the closest to -1? (a) -2/11 (b) 0.2 (c) -2 (d) -1/4
d
What is the closest to 0 in -0.7, 5, 3?
-0.7
What is the nearest to 6 in -5, 8/27, 0.3, 5?
5
What is the closest to -3 in -5, 4, 7, 0.3?
-5
Which is the nearest to -82? (a) -4/7 (b) 0.5 (c) 0.1 (d) 3
a
Which is the closest to 1/3? (a) 0.5 (b) 0.4 (c) -5 (d) -7
b
Which is the closest to 2/9? (a) -3/5 (b) -2/3 (c) 2 (d) -4
a
What is the closest to -4 in 0.1, 4, -19?
0.1
Which is the closest to 2? (a) 0.4 (b) 0.98 (c) 3 (d) -2/5
c
What is the closest to -6 in -5, -2, 4/9, -35?
-5
What is the closest to -109/6 in -3, 0.2, -1/8, -4?
-4
Which is the nearest to 2/13? (a) 8 (b) 0.1 (c) -0.2
b
Which is the closest to -0.01? (a) -0.9 (b) -20 (c) -0.5
c
What is the closest to -5/3 in 3/7, 0.5, -2/29, 4?
-2/29
What is the nearest to 0 in -1/3, -0.2, 5, 0.9?
-0.2
Which is the nearest to 1? (a) 0.03 (b) 1 (c) -1/2 (d) -2
b
Which is the nearest to -3? (a) -1 (b) 7 (c) -1/10 (d) -1.7
d
Which is the closest to 1? (a) 0 (b) -1/10 (c) -0.4
a
What is the nearest to 8 in 0.5, -6, -1?
0.5
What is the closest to -2/45 in 0.4, 0.1, -1, -0.5?
0.1
Which is the nearest to -2/21? (a) 14 (b) -1 (c) -0.2
c
What is the nearest to -10 in -0.4, 0.1, -4/15, -4?
-4
Which is the closest to -3/5? (a) -5 (b) -45 (c) -1 (d) -4
c
What is the nearest to -1/20 in 2, 11, -5?
2
What is the closest to -2/5 in -3, -4, -385?
-3
Which is the nearest to 2/7? (a) -1/4 (b) 4/5 (c) -1.6 (d) 3
b
Which is the nearest to 2/11? (a) -0.5 (b) 4 (c) 2/3
c
What is the nearest to 31 in -0.3, -2/3, -4, 4/9?
4/9
What is the closest to 0.11 in 3, -0.3, -0.4, 0.1?
0.1
Which is the nearest to 0.29? (a) -1 (b) -0.4 (c) -2/9
c
Which is the nearest to -0.1? (a) -5/2 (b) -0.5 (c) -96
b
Which is the nearest to -2/3? (a) 5 (b) 0.1 (c) 3
b
Which is the nearest to 0? (a) 2/9 (b) 0.19 (c) 0.4
b
Which is the closest to 1/9? (a) -1/4 (b) -0.042 (c) -0.4
b
What is the closest to -0.1 in 4.8, 1, -2?
1
Which is the nearest to -92? (a) -0.3 (b) -5 (c) -8 (d) 0.5
c
Which is the nearest to -581? (a) 5 (b) 0.4 (c) -2/5
c
Which is the nearest to -0.1? (a) -0.1 (b) -31 (c) -4/7 (d) 3/2
a
What is the nearest to 0.1 in -0.5, 0.5, 1221?
0.5
What is the nearest to 1 in 5, 7, -0.4, -170?
-0.4
What is the nearest to 1 in 4/5, -22, -1?
4/5
What is the nearest to -2/3 in -0.3, 2, 0.7, 31?
-0.3
Which is the nearest to 1? (a) -6 (b) 0.024 (c) 0.4 (d) -2/15
c
What is the nearest to 0.1 in -5, 0.4, 0.3, -8?
0.3
Which is the closest to 0.014? (a) -5 (b) -3/2 (c) -0.2
c
What is the nearest to -1/2 in -2, -2/3, -4?
-2/3
What is the nearest to -0.2 in -3/4, 34, 0.1?
0.1
Which is the nearest to 29? (a) -0.07 (b) -0.3 (c) -3 (d) 2/21
d
What is the closest to 0.2 in 1/2, 0.03, -2, -2/17?
0.03
Which is the nearest to -0.1? (a) 0 (b) -2/3 (c) 10
a
What is the closest to 1 in -10, -5, -4/5, -0.5?
-0.5
What is the closest to -0.1 in -4, -16, 3.2?
3.2
Which is the nearest to 1.2? (a) -5 (b) -4 (c) -1/5
c
What is the nearest to -1 in -7, 6, -1?
-1
What is the closest to 1.4 in -0.3, 8, 0.3?
0.3
What is the nearest to -1 in 2, 5, 0.156, 4/7?
0.156
Which is the closest to 7.5? (a) 0.5 (b) 0.4 (c) 2/11
a
What is the closest to -0.1 in 5/6, -3, 2, 7?
5/6
What is the nearest to 5 in 5, -5, -4/3, -0.4?
5
What is the closest to -1 in 68, -2, 0.038?
-2
What is the closest to -1/3 in 3, -0.4, 2/3, -0.11?
-0.4
What is the nearest to -1 in 19, 1, -0.14?
-0.14
Which is the closest to 0? (a) 14 (b) 0.3 (c) 1 (d) -0.4
b
What is the closest to 10 in 1, -5, 3/4, 9?
9
Which is the closest to 2/5? (a) -3 (b) 5 (c) 4
a
Which is the closest to -0.11? (a) -3 (b) 3 (c) -0.3
c
Which is the nearest to 0.2? (a) 1/9 (b) -7 (c) -4
a
Which is the nearest to 1/6? (a) -5/2 (b) -1 (c) 69/2
b
What is the nearest to 17 in 3/4, 0.2, -2, -7?
3/4
Which is the nearest to 1? (a) 1 (b) -2/25 (c) 16/9 (d) 0.3
a
Which is the closest to 4? (a) -0.2 (b) 0.14 (c) -8 (d) -2
b
What is the nearest to 2/7 in 4, -3/2, -81, 2/3?
2/3
What is the closest to 1/3 in -0.34, 2, -0.1, -2?
-0.1
What is the nearest to -1 in 17, -1, 1/4, 0?
-1
Which is the closest to -0.1? (a) 2 (b) 0.1 (c) 1/36 (d) 5
c
What is the nearest to 1 in -3, 2/5, -24, 2?
2/5
Which is the nearest to 0? (a) 5/4 (b) -4 (c) 4.2 (d) 2
a
Which is the closest to 1? (a) 4 (b) -2/15 (c) 0.2 (d) -3/4
c
Which is the closest to 36? (a) 1 (b) -2 (c) -4
a
Which is the closest to -2? (a) 0.4 (b) 1 (c) 1/9 (d) -1
d
What is the nearest to 0.2 in 7, 1, -6.2?
1
What is the nearest to -3 in 9/5, -0.04, -5?
-5
Which is the nearest to -2/7? (a) 0.1 (b) 2/11 (c) 122/11 (d) 4
a
Which is the nearest to 0.1? (a) 1 (b) 2 (c) -1 (d) -0.3
d
What is the closest to -5 in -0.03, 1/11, 0.5?
-0.03
Which is the nearest to 0.86? (a) -1/6 (b) -0.4 (c) 2
a
What is the closest to 3/8 in 0.9, -1, 0.5?
0.5
Which is the closest to -13/5? (a) -0.2 (b) 3/5 (c) -2
c
What is the closest to -3 in -0.3, -0.2, -0.74?
-0.74
Which is the nearest to -6/5? (a) -1/4 (b) 1 (c) -2/3
c
Which is the nearest to -1? (a) 2/109 (b) -0.018 (c) -0.3
c
What is the closest to 1 in 2, 0.1, -5/8, -0.7?
0.1
Which is the closest to 0.1? (a) 0.21 (b) 0.1 (c) 1.2
b
Which is the closest to 9? (a) -0.03 (b) 0.4 (c) -5/6
b
What is the closest to 1/10 in 3/5, 3/8, -0.6, -0.3?
3/8
What is the closest to -0.8 in -2, 5/4, 0.1?
0.1
What is the closest to -1 in -1/6, 5, -51, 2?
-1/6
What is the closest to -0.1 in 3, 1, 0.895?
0.895
What is the nearest to 0 in -0.2, -3, -7, 1?
-0.2
What is the closest to 0.2 in -1, 600, -7/2?
-1
Which is the nearest to 0.5? (a) -0.3 (b) 0.05 (c) 0.1 (d) -0.09
c
What is the nearest to -25 in -0.3, -1/6, -2?
-2
Which is the nearest to 0.2? (a) 1/5 (b) 1 (c) 2/47
a
What is the nearest to 0 in -2/11, -0.19, 0.2?
-2/11
What is the nearest to 1/4 in 0.27, -1/21, -2/5?
0.27
Which is the nearest to -1.7? (a) -1/8 (b) 1/3 (c | {
"pile_set_name": "DM Mathematics"
} |
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