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stringlengths 270
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20749, 35985, 57297?
170*i**3 - 22*i**2 + 8*i + 9
What is the x'th term of -3546, -7065, -10606, -14175, -17778, -21421?
-x**3 - 5*x**2 - 3497*x - 43
What is the q'th term of 137479, 136522, 134927, 132694, 129823?
-319*q**2 + 137798
What is the a'th term of 12213271, 12213285, 12213299, 12213313, 12213327, 12213341?
14*a + 12213257
What is the n'th term of 264803, 264466, 263905, 263120, 262111?
-112*n**2 - n + 264916
What is the h'th term of 17835, 17951, 18067, 18183, 18299, 18415?
116*h + 17719
What is the q'th term of 240281903, 240281902, 240281901, 240281900?
-q + 240281904
What is the j'th term of -67586, -539783, -1821188, -4316405, -8430038, -14566691, -23130968, -34527473?
-67434*j**3 - 159*j + 7
What is the s'th term of 2231, 2461, 2675, 2867, 3031, 3161?
-s**3 - 2*s**2 + 243*s + 1991
What is the h'th term of 32028, 64073, 96156, 128295, 160508, 192813, 225228, 257771?
3*h**3 + h**2 + 32021*h + 3
What is the n'th term of 1272271, 2544525, 3816779, 5089033, 6361287, 7633541?
1272254*n + 17
What is the i'th term of 1327276, 1327260, 1327232, 1327192?
-6*i**2 + 2*i + 1327280
What is the a'th term of 799656, 799662, 799666, 799668, 799668?
-a**2 + 9*a + 799648
What is the q'th term of -85374, -170725, -256076, -341427, -426778?
-85351*q - 23
What is the f'th term of -262774, -263122, -263470, -263818, -264166, -264514?
-348*f - 262426
What is the f'th term of 821489, 821506, 821523, 821540, 821557?
17*f + 821472
What is the t'th term of -198060, -198245, -198428, -198609, -198788?
t**2 - 188*t - 197873
What is the p'th term of 1089, 8294, 27845, 65916, 128681?
1029*p**3 - p**2 + 5*p + 56
What is the s'th term of -6262, -25227, -56894, -101269, -158358?
-s**3 - 6345*s**2 + 77*s + 7
What is the v'th term of -668261626, -668261624, -668261622, -668261620, -668261618?
2*v - 668261628
What is the a'th term of -21545, -36818, -52089, -67358, -82625?
a**2 - 15276*a - 6270
What is the j'th term of -556, -1958, -4298, -7576, -11792, -16946, -23038?
-469*j**2 + 5*j - 92
What is the j'th term of -624, -2253, -4872, -8469, -13032, -18549, -25008, -32397?
2*j**3 - 507*j**2 - 122*j + 3
What is the j'th term of -13084, -50585, -113086, -200587, -313088?
-12500*j**2 - j - 583
What is the z'th term of -46, 472, 1418, 3008, 5458?
36*z**3 - 2*z**2 + 272*z - 352
What is the l'th term of 26622, 212839, 718202, 1702257, 3324550, 5744627, 9122034?
26591*l**3 + 27*l**2 - l + 5
What is the x'th term of 404780, 1619091, 3642940, 6476327, 10119252, 14571715?
404769*x**2 + 4*x + 7
What is the t'th term of -25476, -101920, -229328, -407700, -637036?
-25482*t**2 + 2*t + 4
What is the t'th term of -1607, -1759, -1913, -2069, -2227, -2387?
-t**2 - 149*t - 1457
What is the h'th term of -50155, -100026, -149897, -199768, -249639?
-49871*h - 284
What is the r'th term of 91609, 91730, 92043, 92638, 93605, 95034?
15*r**3 + 6*r**2 - 2*r + 91590
What is the r'th term of -134, -1642, -4538, -8816, -14470, -21494, -29882, -39628?
r**3 - 700*r**2 + 585*r - 20
What is the i'th term of -87122849, -174245711, -261368585, -348491477, -435614393?
-i**3 - 87122855*i + 7
What is the m'th term of -97902, -97871, -97840?
31*m - 97933
What is the j'th term of 26328, 26020, 25718, 25422, 25132, 24848?
3*j**2 - 317*j + 26642
What is the l'th term of -4416350, -8832712, -13249088, -17665484, -22081906, -26498360?
-l**3 - l**2 - 4416352*l + 4
What is the b'th term of -603208408, -603208410, -603208412, -603208414, -603208416?
-2*b - 603208406
What is the x'th term of -1882643, -1882792, -1882941, -1883090, -1883239?
-149*x - 1882494
What is the y'th term of 412594, 412659, 412718, 412771, 412818?
-3*y**2 + 74*y + 412523
What is the i'th term of -56193511, -56193513, -56193517, -56193523, -56193531, -56193541?
-i**2 + i - 56193511
What is the q'th term of 87150328, 348601288, 784352888, 1394405128, 2178758008, 3137411528?
87150320*q**2 + 8
What is the v'th term of -2603410, -2603407, -2603404, -2603401, -2603398?
3*v - 2603413
What is the j'th term of -566, -930, -1368, -1880?
-37*j**2 - 253*j - 276
What is the n'th term of 48715669, 48715664, 48715659?
-5*n + 48715674
What is the l'th term of -779, -755, -731?
24*l - 803
What is the j'th term of -8166, -16255, -24344, -32433, -40522?
-8089*j - 77
What is the x'th term of 452, 502, 574, 680, 832, 1042, 1322?
2*x**3 - x**2 + 39*x + 412
What is the h'th term of -51195, -51698, -52201?
-503*h - 50692
What is the f'th term of -1686536, -1686525, -1686514, -1686503?
11*f - 1686547
What is the b'th term of -51401, -52044, -52697, -53366, -54057, -54776?
-b**3 + b**2 - 639*b - 50762
What is the a'th term of -193, -643, -1407, -2479, -3853, -5523, -7483, -9727?
a**3 - 163*a**2 + 32*a - 63
What is the p'th term of 850, 1850, 3538, 5926, 9026, 12850?
2*p**3 + 332*p**2 - 10*p + 526
What is the x'th term of 316772, 316756, 316756, 316778, 316828, 316912, 317036, 317206?
x**3 + 2*x**2 - 29*x + 316798
What is the w'th term of -23, 1025, 3891, 9487, 18725, 32517, 51775?
152*w**3 - 3*w**2 - 7*w - 165
What is the g'th term of 7081652, 7081644, 7081636, 7081628, 7081620?
-8*g + 7081660
What is the v'th term of 488160, 487120, 486080, 485040, 484000, 482960?
-1040*v + 489200
What is the y'th term of 112134, 112073, 111894, 111537, 110942?
-10*y**3 + y**2 + 6*y + 112137
What is the c'th term of 13119, 26916, 40713, 54510, 68307?
13797*c - 678
What is the f'th term of 137339, 549461, 1236331, 2197949, 3434315, 4945429?
137374*f**2 - 35
What is the b'th term of 6012869, 6012867, 6012869, 6012875, 6012885, 6012899, 6012917?
2*b**2 - 8*b + 6012875
What is the n'th term of 447091617, 447091614, 447091625, 447091656, 447091713, 447091802, 447091929, 447092100?
n**3 + n**2 - 13*n + 447091628
What is the p'th term of -652825, -1305933, -1959043, -2612155, -3265269, -3918385?
-p**2 - 653105*p + 281
What is the r'th term of 130, -172, -482, -794, -1102, -1400?
r**3 - 10*r**2 - 279*r + 418
What is the l'th term of -6529, -10798, -15069, -19342, -23617, -27894, -32173?
-l**2 - 4266*l - 2262
What is the i'th term of 2916, 14304, 33278, 59832, 93960, 135656?
-i**3 + 3799*i**2 - 2*i - 880
What is the v'th term of 6544, 9642, 12740?
3098*v + 3446
What is the d'th term of -378464, -756776, -1135088?
-378312*d - 152
What is the r'th term of -958, -2706, -5318, -8800, -13158, -18398, -24526, -31548?
-r**3 - 426*r**2 - 463*r - 68
What is the l'th term of -8465, -32951, -73459, -129989, -202541?
-8011*l**2 - 453*l - 1
What is the w'th term of -51, -362, -921, -1710, -2711, -3906?
3*w**3 - 142*w**2 + 94*w - 6
What is the j'th term of -4525, -4927, -5485, -6193, -7045, -8035, -9157, -10405?
j**3 - 84*j**2 - 157*j - 4285
What is the s'th term of 836, 2948, 6464, 11384, 17708, 25436, 34568?
702*s**2 + 6*s + 128
What is the i'th term of -785595658, -785595656, -785595654, -785595652, -785595650, -785595648?
2*i - 785595660
What is the j'th term of 236, 146, -22, -286, -664, -1174, -1834?
-3*j**3 - 21*j**2 - 6*j + 266
What is the p'th term of -10671, -42551, -95661, -170001, -265571?
-10615*p**2 - 35*p - 21
What is the j'th term of -24148398, -24148396, -24148394, -24148392, -24148390, -24148388?
2*j - 24148400
What is the f'th term of 2568, 4519, 6194, 7455, 8164, 8183, 7374, 5599?
-23*f**3 + 2112*f + 479
What is the k'th term of 2869, 2534, 1959, 1150, 113, -1146, -2621, -4306?
k**3 - 126*k**2 + 36*k + 2958
What is the d'th term of -369655, -739231, -1108807, -1478383, -1847959?
-369576*d - 79
What is the o'th term of 8180, 65866, 222788, 528674, 1033252?
8288*o**3 - 110*o**2 + 2
What is the y'th term of 4938123, 9876248, 14814375, 19752504, 24690635, 29628768?
y**2 + 4938122*y
What is the y'th term of -26252, -52200, -77844, -103184, -128220, -152952?
152*y**2 - 26404*y
What is the z'th term of -18, 1013, 2736, 5151, 8258?
346*z**2 - 7*z - 357
What is the j'th term of 9485, 19142, 28893, 38738, 48677?
47*j**2 + 9516*j - 78
What is the w'th term of 38930, 78042, 117138, 156224, 195306?
w**3 - 14*w**2 + 39147*w - 204
What is the j'th term of -101451, -100517, -98959, -96777, -93971, -90541, -86487?
312*j**2 - 2*j - 101761
What is the u'th term of -9870337, -9870338, -9870339, -9870340, -9870341?
-u - 9870336
What is the g'th term of -81787, -163321, -244865, -326425, -408007, -4896 | {
"pile_set_name": "DM Mathematics"
} |
in -1/2, -5, -3120, 1/5, 1/3?
1/3
What is the nearest to 4/2929 in -4, 0.1, -1/6?
0.1
What is the nearest to -1 in -1.395, -1, -38/9?
-1
Which is the closest to 0.1? (a) -2/9 (b) -0.04 (c) -20.5 (d) 4
b
What is the closest to 1351 in -4, 1, 5/2?
5/2
What is the nearest to -193 in 3/2, -1, -1/179?
-1
What is the closest to 1 in 0.0176, -2, -2/7?
0.0176
Which is the closest to 2/7? (a) 8 (b) 1 (c) -17.8 (d) -1/9
d
What is the nearest to 53822 in 1, -2/17, -0.5, -2?
1
What is the closest to 1 in 0.14, 1, -33, -2/9?
1
Which is the closest to 3? (a) 3 (b) 73818 (c) 2
a
What is the closest to -2 in -0.8, 1, 0.4, 0.173, -4?
-0.8
Which is the nearest to 0? (a) 1 (b) -9 (c) -2/19 (d) -2
c
What is the nearest to 4.2 in 2.1, -5, -4?
2.1
What is the nearest to -4 in 1/6, 1/5, -0.3, 16.5?
-0.3
What is the closest to -3 in 2.941, -0.5, 0, -2?
-2
What is the nearest to 10 in 2, 2/9, 0.4?
2
What is the nearest to -1 in 519, -1, 0.2?
-1
Which is the closest to -1/3? (a) -5 (b) -3/5 (c) 0.27 (d) -20 (e) -4/3
b
What is the nearest to 2/7 in 2, 6, -5, 2/19?
2/19
Which is the closest to -0.02? (a) -2 (b) 15 (c) -3/4 (d) -1/3
d
What is the closest to -1 in -2/19, 1/9, -1, -2/45, -2?
-1
What is the closest to -0.1 in 12/13, 2, 0.1, 1/5?
0.1
Which is the nearest to -8990? (a) -0.03 (b) -1/6 (c) -0.4 (d) -0.5 (e) -0.3
d
What is the closest to -1/4 in 0.024, 55, 0.2, 3/7?
0.024
What is the nearest to 1/13 in -76.9, 1, 5?
1
Which is the nearest to -0.1? (a) 35 (b) 40 (c) 0 (d) 11 (e) 1/2
c
What is the closest to 7.9 in -1/3, 0.3, -1, -2/7?
0.3
Which is the nearest to 531? (a) 0 (b) -3.9 (c) 2/11 (d) -1
c
What is the nearest to -0.1 in -0.03, 7, -3/7, 3/5?
-0.03
Which is the nearest to 7? (a) -10/3 (b) -137 (c) 4/5
c
Which is the closest to -28? (a) -6 (b) -2 (c) 4 (d) 1
a
Which is the closest to 0.1643? (a) -3 (b) -2/35 (c) 8
b
Which is the nearest to -58? (a) -3 (b) -1/3 (c) 31
a
Which is the closest to -2/31? (a) -0.2 (b) -0.3 (c) -5 (d) 4/13
a
Which is the closest to 21? (a) -5 (b) -1/3 (c) 0.4 (d) -6 (e) -3
c
What is the closest to 1 in 2/11, 0.1, 8/5, 5.9?
8/5
Which is the nearest to 0.2? (a) 5 (b) 163.1 (c) -0.14 (d) -0.1
d
Which is the closest to 5? (a) -2/3 (b) 16 (c) -0.02 (d) -9
c
What is the nearest to -0.1 in -156, 52, -1/2?
-1/2
Which is the nearest to -1562? (a) 0.1 (b) 1/3 (c) -5 (d) 1
c
What is the closest to -1 in -2/3, -430, 23?
-2/3
What is the nearest to 0.2 in -1/414, 94, 0.4?
0.4
Which is the closest to 0.1? (a) -3956 (b) 0.3 (c) -1 (d) 0.5
b
What is the nearest to 0 in 2, -0.4, -1/37, 113/2, -1?
-1/37
What is the nearest to 1/2 in 3, -2.2, 55?
3
Which is the closest to 3? (a) 3 (b) 1/10 (c) -12 (d) 54/11
a
Which is the nearest to -1.4? (a) 4 (b) -65/6 (c) -0.1 (d) -5
c
Which is the nearest to 17? (a) -113 (b) -2/3 (c) 2/7
c
What is the nearest to 1/2 in -5867, -0.1, 2?
-0.1
What is the nearest to 1 in -0.039, -2, 2/9?
2/9
What is the closest to 2/3 in 1, 849.1, 2, -3?
1
What is the closest to -5 in -3, -15/4, 0, -5?
-5
Which is the nearest to 2/16189? (a) -4 (b) 0.4 (c) -0.2 (d) 2/13
d
What is the closest to -68 in -3, -2, 5?
-3
Which is the nearest to -2/7? (a) 10989 (b) 0.3 (c) -2
b
Which is the nearest to 0? (a) -21 (b) -222 (c) -0.1 (d) -4
c
Which is the closest to -1/6? (a) 0.3 (b) -11 (c) -6 (d) -1/2
d
Which is the nearest to -2? (a) 49 (b) 5 (c) 17/15 (d) 2/3
d
Which is the nearest to -0.4? (a) 1/404 (b) 2 (c) 4 (d) 3/2
a
What is the nearest to 1 in 0.03, 76, -4/3?
0.03
What is the closest to 2/7 in -0.4, 4/7, -3, 1/6511?
1/6511
Which is the nearest to -1? (a) -0.4 (b) -0.08 (c) -0.1 (d) -1.72
a
Which is the nearest to 0.266? (a) 13 (b) 0.2 (c) 0
b
What is the closest to 0 in 2/7, -0.4, 5/372?
5/372
Which is the closest to 5? (a) -10 (b) 3/8 (c) 13
b
Which is the nearest to -8.6? (a) 10 (b) 0.3 (c) -1.2
c
Which is the nearest to 58/3? (a) 2 (b) -3/2 (c) 0
a
What is the nearest to -1 in -5/2, -0.2, -127, 2/11, -0.3?
-0.3
What is the closest to 217/5 in 0, 2/15, -2?
2/15
What is the nearest to -0.1 in -1, -2066, 2/499?
2/499
Which is the closest to 2? (a) 1/5 (b) 22/101 (c) 2/17
b
Which is the nearest to 5? (a) 6 (b) -4 (c) 0.67
a
What is the closest to 0.1 in -6, -7, 1, 10, -3.1?
1
What is the nearest to 14 in 16/9, -832, 5?
5
What is the nearest to 1 in 5, -0.01336, 2?
2
Which is the nearest to 3? (a) -0.2 (b) 15/7 (c) -0.3 (d) 2 (e) -0.1
b
Which is the closest to -12540? (a) -27 (b) 0.2 (c) 2/25
a
What is the closest to -2 in 6, -2, 1, 248?
-2
What is the nearest to 1 in 0, -2/13, 5/19, -0.2?
5/19
Which is the closest to 2/9? (a) 17 (b) -2/9 (c) 0.02 (d) -6.2
c
Which is the nearest to 3/4? (a) 4508 (b) -0.1 (c) -5
b
Which is the closest to 12162? (a) -22 (b) -4/5 (c) 1/4
c
What is the closest to 1 in -4, -0.22, -13, -0.5, -0.29?
-0.22
Which is the nearest to -1? (a) -2/3 (b) 2.213 (c) 5 (d) -5
a
What is the nearest to -1 in -5/12, 0.12, -14?
-5/12
What is the nearest to -1 in 0.3, -1912, 2/17?
2/17
Which is the nearest to -1? (a) -2/13 (b) 6 (c) 36 (d) 0.12
a
What is the nearest to 0.78 in -0.4, -1/2, -3, 0?
0
Which is the closest to -0.4? (a) -366 (b) 3 (c) 0.9
c
What is the nearest to -1/5 in -2/5, -463/8, 14, 3?
-2/5
What is the closest to -15/4 in 25, -0.4, 0, -2, -2/7?
-2
What is the closest to -3 in 20, -9, 0.094?
0.094
What is the nearest to 29449/2 in 2/11, -0.1, 2/3?
2/3
What is the nearest to 16 in -3, -6/11, 0.15, -0.3?
0.15
What is the nearest to 1/135 in 3, 0, -0.5, -683?
0
Which is the closest to -21? (a) -1.85 (b) 16 (c) 2
a
What is the nearest to -3 in 7/5, -2, -19, 0.2?
-2
What is the nearest to 12/13 in 1, -2/11, -103?
1
Which is the closest to 0? (a) 1/4 (b) -1/3 (c) 2 (d) -22 (e) -45
a
Which is the closest to -0.14? (a) -78 (b) -28 (c) -2/9
c
Which is the nearest to -54? (a) 2/7 (b) -1.2 (c) -0.08
b
What is the nearest to 0 in -0.453, 157, 1?
-0.453
What is the closest to 1/2 in 0.3, -3/4, 1, -1/4, 205?
0.3
Which is the closest to -7? (a) 18 (b) -2 (c) -95/4
b
What is the nearest to -21 in 4, -1, 1/29, -0.029?
-1
Which is the nearest to 0.3? (a) -12 (b) 31 (c) -13
a
Which is the closest to 0.092? (a) 0.03 (b) 1/4 (c) 0.09 (d) -3/7 (e) 5
c
Which is the closest to -1? (a) -5 (b) -1/4 (c) 2 (d) 0.268
b
What is the closest to -2/5 in 2.6, -1, -0.17, 2/3, 3?
-0.17
What is the nearest to 169/4 in -2/3, -4, -5/68?
-5/68
Which is the closest to -0.2? (a) 1/4 (b) 4 (c) -1/6 (d) 1/41784
c
Which is the nearest to 1? (a) 0 (b) 255 (c) 1/3
c
Which is the nearest to 1? (a) 0.08 (b) 2/7 (c) 1.5 (d) 0 (e) 4
c
Which is the closest to 10/7? (a) -0.1 (b) 2 (c) 37/2 (d) -1/4
b
Which is the nearest to 1847? (a) -5 (b) 4 (c) 0.3
b
What is the closest to 2/5 in 1126, -2/13, 1, -0.4, -14?
-2/13
What is the nearest to 2/3 in 0.03, 1.5, -4, 5?
0.03
Which is the nearest to 0? (a) -4 (b) 9 (c) -6 (d) -60
a
Which is the nearest to 0? (a) -1 (b) 2720 (c) -0.5
c
What is the nearest to -1.7 in -1/2, -0.3, 456, 2/7?
-1/2
Which is the nearest to -53? (a) 0.2 (b) 4 (c) -46/33
c
What is the nearest to 5 in 2.3, -32, -1/4, 6?
6
What is the closest to 5/3 in 5, -5, -3.6, -4, 3?
3
What is the nearest to 46 in -4, -111, -3?
-3
What is the closest to -2/5 in 0, -2/1573, -2, 80, 2/7?
-2/1573
Which is the nearest to -0.028? (a) 3/7 (b) 0.74 (c) 2/7 (d) 2/11
d
Which is the nearest to -0.2? (a) -2/11 (b) -43 (c) -3 (d) -0.2
d
What is the closest to -27 in -3, 3/4, -0.3, -0.2, -2/77?
-3
What is the nearest to 0 in -86, -2, 1/26?
1/26
What is the nearest to -2 in -4, 0.1, 3, 124.3?
-4
What is the nearest to 1 in -0.3, -1.2, -13?
-0.3
Which is the closest to 1? (a) -33/4 (b) 3 (c) 0 (d) -5 (e) 2/5
e
Which is the nearest to -9? (a) -1/7 (b) 4 (c) 97 (d) 5 (e) 0
a
Which is the nearest to -0.147? (a) -5/658 (b) 0 (c) 5
a
What is the closest to -1/2 in 0, -3/125, 5?
-3/125
What is the nearest to -2/3 in 5, -1/3, -565, -0.04?
-1/3
Which is the closest to 4495? (a) -0.3 (b) -0.2 (c) 5 (d) -1/9
c
What is the closest to -4/3 in -0.15, -3/7, -21/5, 3/5?
-3/7
What is the closest to -9/8 in 0.4, -4/7, -4011?
-4/7
What is the nearest | {
"pile_set_name": "DM Mathematics"
} |
1/2, to the nearest integer?
55052
What is the square root of 68321749 to the nearest integer?
8266
What is the square root of 1568249943 to the nearest integer?
39601
What is 3202593188 to the power of 1/3, to the nearest integer?
1474
What is the fourth root of 5355583378 to the nearest integer?
271
What is 185623596 to the power of 1/5, to the nearest integer?
45
What is the square root of 127131629 to the nearest integer?
11275
What is the square root of 201622804 to the nearest integer?
14199
What is 206060990 to the power of 1/3, to the nearest integer?
591
What is the cube root of 4454907538 to the nearest integer?
1645
What is 817787125 to the power of 1/8, to the nearest integer?
13
What is the tenth root of 732842028 to the nearest integer?
8
What is the seventh root of 676704364 to the nearest integer?
18
What is 28089733 to the power of 1/7, to the nearest integer?
12
What is the third root of 97835355 to the nearest integer?
461
What is 122572367 to the power of 1/5, to the nearest integer?
41
What is the square root of 13135122 to the nearest integer?
3624
What is 5551531529 to the power of 1/5, to the nearest integer?
89
What is the third root of 1173470588 to the nearest integer?
1055
What is the third root of 103635566 to the nearest integer?
470
What is 634802131 to the power of 1/2, to the nearest integer?
25195
What is the ninth root of 4870908340 to the nearest integer?
12
What is the seventh root of 155805886 to the nearest integer?
15
What is 32394330 to the power of 1/2, to the nearest integer?
5692
What is the third root of 891946896 to the nearest integer?
963
What is 364750628 to the power of 1/4, to the nearest integer?
138
What is 725033543 to the power of 1/3, to the nearest integer?
898
What is the square root of 32529290 to the nearest integer?
5703
What is the square root of 77637803 to the nearest integer?
8811
What is the fifth root of 228488011 to the nearest integer?
47
What is the third root of 562139044 to the nearest integer?
825
What is 212763526 to the power of 1/2, to the nearest integer?
14586
What is the cube root of 74229724 to the nearest integer?
420
What is 143820475 to the power of 1/9, to the nearest integer?
8
What is the square root of 3704019 to the nearest integer?
1925
What is 328038848 to the power of 1/9, to the nearest integer?
9
What is the tenth root of 116709499 to the nearest integer?
6
What is 3156942103 to the power of 1/6, to the nearest integer?
38
What is 2999118631 to the power of 1/3, to the nearest integer?
1442
What is 1486828468 to the power of 1/2, to the nearest integer?
38559
What is 189707048 to the power of 1/3, to the nearest integer?
575
What is 3186348041 to the power of 1/2, to the nearest integer?
56448
What is 76879592 to the power of 1/8, to the nearest integer?
10
What is the third root of 222686070 to the nearest integer?
606
What is 767575969 to the power of 1/3, to the nearest integer?
916
What is 13778029 to the power of 1/2, to the nearest integer?
3712
What is 881684175 to the power of 1/3, to the nearest integer?
959
What is 390647526 to the power of 1/2, to the nearest integer?
19765
What is the square root of 3872609 to the nearest integer?
1968
What is the ninth root of 6040517724 to the nearest integer?
12
What is 170380760 to the power of 1/3, to the nearest integer?
554
What is the fifth root of 378435968 to the nearest integer?
52
What is the square root of 118141964 to the nearest integer?
10869
What is the eighth root of 47568530 to the nearest integer?
9
What is the square root of 54119963 to the nearest integer?
7357
What is 32837944 to the power of 1/5, to the nearest integer?
32
What is 47939871 to the power of 1/3, to the nearest integer?
363
What is 66384533 to the power of 1/9, to the nearest integer?
7
What is the fourth root of 1895986377 to the nearest integer?
209
What is 201632867 to the power of 1/8, to the nearest integer?
11
What is the square root of 7079620245 to the nearest integer?
84140
What is the square root of 23053537 to the nearest integer?
4801
What is 59633116 to the power of 1/2, to the nearest integer?
7722
What is the square root of 199773959 to the nearest integer?
14134
What is 7805222 to the power of 1/3, to the nearest integer?
198
What is 7284699761 to the power of 1/7, to the nearest integer?
26
What is the square root of 5897818 to the nearest integer?
2429
What is the square root of 413053113 to the nearest integer?
20324
What is the third root of 494084045 to the nearest integer?
791
What is the sixth root of 2048936215 to the nearest integer?
36
What is the cube root of 268618735 to the nearest integer?
645
What is 39214965 to the power of 1/6, to the nearest integer?
18
What is 1575055163 to the power of 1/3, to the nearest integer?
1163
What is 347369617 to the power of 1/6, to the nearest integer?
27
What is 33049459 to the power of 1/3, to the nearest integer?
321
What is 40069622 to the power of 1/6, to the nearest integer?
18
What is the ninth root of 4499128819 to the nearest integer?
12
What is 72829054 to the power of 1/9, to the nearest integer?
7
What is the square root of 2006198892 to the nearest integer?
44791
What is the third root of 139686008 to the nearest integer?
519
What is the seventh root of 3728936663 to the nearest integer?
23
What is 43397547 to the power of 1/2, to the nearest integer?
6588
What is the cube root of 530799145 to the nearest integer?
810
What is 572470929 to the power of 1/2, to the nearest integer?
23926
What is 65455951 to the power of 1/2, to the nearest integer?
8090
What is 282326405 to the power of 1/7, to the nearest integer?
16
What is 739829291 to the power of 1/2, to the nearest integer?
27200
What is 2016641316 to the power of 1/6, to the nearest integer?
36
What is the ninth root of 132038928 to the nearest integer?
8
What is the third root of 390653770 to the nearest integer?
731
What is 443032449 to the power of 1/2, to the nearest integer?
21048
What is the tenth root of 1522388666 to the nearest integer?
8
What is the cube root of 199136654 to the nearest integer?
584
What is the ninth root of 71247456 to the nearest integer?
7
What is 57952417 to the power of 1/9, to the nearest integer?
7
What is 4158043 to the power of 1/2, to the nearest integer?
2039
What is the ninth root of 461588564 to the nearest integer?
9
What is 4339494939 to the power of 1/9, to the nearest integer?
12
What is 161828317 to the power of 1/2, to the nearest integer?
12721
What is the square root of 3538507246 to the nearest integer?
59485
What is the cube root of 56491778 to the nearest integer?
384
What is 1275509496 to the power of 1/7, to the nearest integer?
20
What is 31305209 to the power of 1/10, to the nearest integer?
6
What is the third root of 18315720 to the nearest integer?
264
What is 130193501 to the power of 1/2, to the nearest integer?
11410
What is the square root of 1112163542 to the nearest integer?
33349
What is 392475208 to the power of 1/2, to the nearest integer?
19811
What is the seventh root of 65747893 to the nearest integer?
13
What is 2746105036 to the power of 1/9, to the nearest integer?
11
What is 3405484744 to the power of 1/3, to the nearest integer?
1505
What is the square root of 333096851 to the nearest integer?
18251
What is the seventh root of 2159308335 to the nearest integer?
22
What is 756007683 to the power of 1/2, to the nearest integer?
27496
What is the cube root of 72844370 to the nearest integer?
418
What is the square root of 158150432 to the nearest integer?
12576
What is 46410146 to the power of 1/2, to the nearest integer?
6812
What is 107155323 to the power of 1/2, to the nearest integer?
10352
What is the square root of 122882515 to the nearest integer?
11085
What is the fifth root of 22249837 to the nearest integer?
29
What is 42205990 to the power of 1/3, to the nearest integer?
348
What is 1737270534 to the power of 1/3, to the nearest integer?
1202
What is the third root of 532970228 to the nearest integer?
811
What is the fourth root of 249376823 to the nearest integer?
126
What is 136046480 to the power of 1/2, to the nearest integer?
11664
What is the cube root of 81361085 to the nearest integer?
433
What | {
"pile_set_name": "DM Mathematics"
} |
5*p - 65 - 95 = 0, -m*q - p + 143 = 0. Does 18 divide q?
False
Let q be (-9)/(-6)*(-212)/(-6). Let g = -38 + q. Does 15 divide g?
True
Suppose u - 1 = 3. Suppose 0 = g + 2*g - 12. Suppose -g*m = -2*l - 126, -u*m + 2*m - 3*l = -51. Does 15 divide m?
True
Let i(f) = -10*f + 7. Let u be i(3). Let v = u + 58. Does 6 divide v?
False
Let g = 3 + -1. Suppose 2*n = n - y + 21, g*n + 5*y - 54 = 0. Suppose 0 = -3*k + n + 52. Is 13 a factor of k?
False
Let o(i) = 5*i**2 - 3*i. Does 14 divide o(2)?
True
Let c = 22 + -41. Let k = c - -27. Let i = -3 + k. Is 5 a factor of i?
True
Suppose 2*p - 5*t - 60 = 0, 2*t + 0*t - 92 = -5*p. Suppose p = -0*k - 5*k. Is (-54)/k*(-24)/(-18) a multiple of 18?
True
Suppose -7*g + 2*g = -300. Does 20 divide g?
True
Is 48 a factor of (-8)/(80/6) - 486/(-10)?
True
Let h(u) = -2*u**3 + 2*u**2 - 6*u - 24. Is 51 a factor of h(-5)?
True
Suppose 8 = -2*r, -2*p = -4*r - 28 - 56. Does 6 divide p?
False
Suppose o = -10 + 38. Suppose v - 4*m + 2 - 3 = 0, 5*m = -v + o. Is v a multiple of 7?
False
Let w(h) be the third derivative of 5*h**4/24 - 2*h**2. Let l be w(1). Let g(b) = b + 4. Is 5 a factor of g(l)?
False
Let x(f) = -f**3 - 5*f**2 + 10. Does 3 divide x(-5)?
False
Suppose k + 4 + 5 = 0. Let p = -6 - k. Suppose 0 = -y - p*y + 20. Is 5 a factor of y?
True
Suppose 4*b + 0*f - 21 = f, 25 = -5*f. Suppose b*a - 3*d = 7 + 2, -4*d = -4*a + 8. Suppose -g + 96 = 5*m - 4*g, 0 = 3*m + a*g - 48. Is 17 a factor of m?
False
Suppose 4 + 11 = 5*k. Let n = k + 13. Does 8 divide n?
True
Let f = -21 - -37. Is 16 a factor of f?
True
Suppose -3*h + 71 = -46. Does 13 divide h?
True
Let d(a) = 3*a - 1. Let j be d(11). Let c = -23 + j. Does 2 divide c?
False
Suppose 4*t - 364 = -4*a, -2*t = -2*a - 175 + 13. Is t a multiple of 13?
False
Let u(p) = -p + 6. Let f be (-2)/(-5) - (-282)/(-30). Is 9 a factor of u(f)?
False
Let b(x) = x**2 + 7*x + 55. Does 14 divide b(-11)?
False
Let b(p) = 2*p**2 + 3*p + 6. Let d be 2/((-1)/(3/3)). Let f(g) = 4*g**2 + 7*g + 13. Let t(u) = d*f(u) + 5*b(u). Is t(4) a multiple of 20?
True
Let k be -1 - -5 - (-1 + -121). Suppose -y + k = 6*y. Is y a multiple of 18?
True
Let s = 32 - 16. Is 3 a factor of s?
False
Suppose -5*j - 40 = -j. Let z = 16 + j. Does 4 divide z?
False
Suppose 0*h - 2*h = -326. Suppose h = 4*w + 47. Is 17 a factor of w?
False
Let x(a) be the second derivative of 3*a**3 + 2*a**2 + 2*a. Let d be x(4). Suppose d = 4*m - u - u, -2*m - 4*u = -48. Is 10 a factor of m?
True
Suppose 50 = m - 6*m. Let n be -1*5*4/m. Suppose 3*l + 33 = 4*g - n*l, 0 = 5*g - 3*l - 38. Is g a multiple of 7?
True
Let o(d) = -d**3 + 8*d**2 - 8*d - 5. Let t be o(7). Let c = 9 + t. Is 17 a factor of (-1)/((9/69)/c)?
False
Let y be 6/(-27) + 10/45. Let w(f) = -f**2 - f. Let t be w(-2). Let l = y - t. Is l a multiple of 2?
True
Let j = -6 + 10. Suppose l - 37 = -5*c, j*c - 2*l = -3*l + 29. Is 4 a factor of c?
True
Let i = 15 + -10. Suppose i*x = 2*x + 75. Does 7 divide x?
False
Suppose -3*t + 13 = 142. Let k = -62 - t. Let n = k + 32. Is n a multiple of 6?
False
Suppose 4*t + 8 = 0, -5*j + 25 = -0*j - 5*t. Let h(q) = 2*q - 1. Let p be h(j). Suppose -52 = -p*c + 3*z, -3*c = -3*z - z - 29. Is c a multiple of 9?
False
Suppose 9*u = 4*u + 680. Is u a multiple of 22?
False
Let v = -3 + 4. Is 18 a factor of 317/6 + v/6?
False
Let v = -1 + -9. Let q be v/(-8)*24/3. Suppose -3*x + q = -x. Is 5 a factor of x?
True
Let y = -27 + 52. Does 7 divide y?
False
Suppose 2*x + 2*x - 368 = 0. Suppose -16 = -3*a + x. Is 12 a factor of a?
True
Let u be 1/(-3 - (-76)/24). Suppose u = g - 2. Does 4 divide g?
True
Let l be 6 + 66 + -2 + -1. Let g = l + -33. Is 22 a factor of g?
False
Suppose 4*x - 9 = i - 4, -5*x = -3*i - 8. Is (2/3)/(i/(-15)) a multiple of 10?
True
Suppose 30 = 5*p - 4*k + 2*k, -9 = 2*p - 5*k. Suppose -u - u + p = 0. Suppose -5*r - u*m + 194 = 0, r - m = -5*m + 42. Is r a multiple of 15?
False
Suppose 97 + 87 = 4*x. Let g = x + 17. Is 23 a factor of g?
False
Suppose 3*f = 9*f - 456. Is 19 a factor of f?
True
Suppose f + 11 = -4*m, 2*f + 0*f - 5*m - 4 = 0. Let q(j) = -4*j - 1. Let v be q(f). Suppose 7 + v = r. Does 9 divide r?
True
Suppose -5*q + f + 85 = -3*q, -f + 3 = 0. Is 22 a factor of q?
True
Is -1 + (44 + 4 - -3) a multiple of 14?
False
Suppose 816 = 5*o - 359. Does 18 divide o?
False
Let d(y) = -6*y**3 + 3*y**2 - 4*y + 2. Let v be d(2). Let q = v - -90. Suppose 3*i + 3*k = q, -4*k - 7 = -27. Does 4 divide i?
False
Let t = -2 - -2. Suppose 40 = -t*a + 2*a. Does 10 divide a?
True
Let s(z) = z**3 - 7*z**2 - z + 5. Let q be s(7). Does 18 divide 87*(q - 16/(-6))?
False
Let w(u) = 2*u**2 + 6*u + 3. Let d be w(-6). Let q = d - 24. Is q a multiple of 15?
True
Let p be (-4)/3 - 4/6. Is 1/(2/(-32)*p) a multiple of 8?
True
Suppose 4 = 2*k - 2. Suppose 3*j + 45 = -j - m, k*m = 9. Let c(h) = -h - 3. Is c(j) a multiple of 9?
True
Let n(o) be the first derivative of 2*o - 2 + 3/2*o**2 + 2/3*o**3. Is n(4) a multiple of 17?
False
Suppose 1 = -2*u + 9. Suppose -u*p = 1 + 3. Does 16 divide (-3)/(p/(32/6))?
True
Let c(p) = -p**3 + 12*p**2 + 3*p - 13. Does 5 divide c(12)?
False
Let b be (-4)/(24/(-27))*-2. Let k = b - -65. Is k a multiple of 25?
False
Let i be 1/1 - (1 + -123). Suppose 172 - 53 = 7*s. Suppose i = 5*v - s. Does 10 divide v?
False
Suppose 3*y - 5*y = -6. Suppose 0*g + g - 6 = -y*l, 4*l + 20 = 0. Is g a multiple of 9?
False
Suppose -5*t - 43 = -598. Is t a multiple of 17?
False
Let s(q) = q**2 - q - 5. Let d be s(6). Let a = 5 + d. Suppose 0 = 4*x - 2*v - v - 25, a = 4*x - 2*v. Is 6 a factor of x?
False
Let q be ((0 - -10)*1)/2. Suppose q*i - 10 = -2*a, a - 2*i = i + 16. Suppose s - 5*r - a = 0, -3*r - r = s - 1. Is s a multiple of 3?
False
Let s = -70 - -77. Does 6 divide s?
False
Suppose -4*x + x = 0. Suppose -14 = -2*j - x*j. Let g(q) = 2*q - 9. Is 2 a factor of g(j)?
False
Suppose -2*p = -4*j - 544, 1182 - 351 = 3*p - 3*j. Suppose -5*s + 3*a + 468 = 0, 0*a + 3*a + p = 3*s. Is s a multiple of 31?
True
Is 3/(-2)*16/12 - -54 a multiple of 24?
False
Let t(z) = 2*z + 11. Let v = -10 - -18. Is t(v) a multiple of 10?
False
Suppose -3*f - 2*f + 15 = 0. Does 3 divide f?
True
Suppose -4*c + 172 = 3*o, -4*o + 3*o + 44 = -2*c. Is o a multiple of 26?
True
Let m be 2 - 0 - (-11)/(-1). Let i = m - 3. Does 12 divide (-6)/(39/i + 3)?
True
Suppose -235 = -d - 3*z, -d + 3*z - 61 = -314. Is 10 a factor of d/24 - (-2)/(-12)?
True
Is 16 a factor of (-131)/(-1) - (0 - -3)?
True
Let y(n) = -n**3 + 5*n**2 - 1. Does 7 divide y(4)?
False
Suppose -2*r - k + 15 + 0 = 0, -k = -5*r + 34. Let n(f) = -f + 5. Let c(y) = 2*y. Let p(i) = 2*c(i) - 2*n(i). Is p(r) a multiple of 10?
False
Let c(j) be the first derivative of j**4 - 2*j**3/3 + j - 1. Is 9 a factor of c(2)?
False
Suppose 0*v = 4*v - 136. Suppose k + v = 2*k. Is k a multiple of 13?
False
Suppose -4*u - 4*i + 136 = 0, 3*u + i - 100 = -0*i. Is u a multiple of 13?
False
Suppose -5*i + 4*i - 4*c - 3 = 0, -4*c - 7 = -3*i. Let r = i - -1. Suppose -r*o = -8, j + 0*j = 2*o + 5. Does 7 divide j?
False
Let z be (9 - 6)*(1 - -2). Suppose -s + z = 4. Is s a multiple of 5?
True
Let l(u) = -u**3 - 3*u**2 + u. Let r be l(-3). Let v be (-14)/(-1)*(r - -2). Does 3 divide (-88)/v - 2/7?
True
Suppose a - 1 = 2*j - 0, -2*a + 12 = j. Suppose a*s = 4*t - 1, -4*t + 10 = 2*s - 3*t. Is 2 a factor of s?
False
Suppose -11*w = -141 - 112. Is w a multiple of 2?
False
Is 23 a factor of (-6 + -20)*7/(-2)?
False
Let s(t) = -64*t - 4. Is s(-1) a multiple of 20?
True
Suppose 6*y - 216 = 114. Is y a multiple of 7?
False
Let b be 3*1/((-3)/(-2)). Let n be (-422)/(-4) - b/(-4). Suppose 4*g - 94 = 5*f, 4*g + 3*f - n = 2*f. Is 13 a factor of g?
True
Let j be (4/(-6))/(6/(-45)). Suppose 0 = 3*a - a - i - 54, -133 = -j*a + 3*i. Does 10 divide a?
False
Let r(z) = -5 - z - 2*z**2 + 3*z**2 + 2*z - 3. Does 16 divide r(-8)?
True
Is 28 a factor of -1*(-138 - 1) + 1?
True
Suppose p = 4*u - 0*u - 52, 0 = 2*u + 3*p - 12. Is 6 a factor of u?
True
Is 29 a factor of -26*(-155)/70 - (-3)/7?
True
Let m(c) be the third derivative of c**4/24 - c**3/6 + 14*c**2. Suppose 6 + 1 = k. Is 2 a factor of m(k)?
True
Suppose 4*u - 129 + 13 = 0. Suppose 16 = a - 4*k - 17, 3*k = a - u. Does 16 divide a?
False
Let a(w) be the third derivative of w**5/30 + w**4/6 - w**3/2 - 2*w**2. Let | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 451?
11, 41
What are the prime factors of 7339?
41, 179
What are the prime factors of 1019?
1019
What are the prime factors of 330?
2, 3, 5, 11
List the prime factors of 7522.
2, 3761
List the prime factors of 557.
557
What are the prime factors of 295?
5, 59
What are the prime factors of 850?
2, 5, 17
List the prime factors of 4104.
2, 3, 19
List the prime factors of 4949.
7, 101
List the prime factors of 393.
3, 131
What are the prime factors of 25004?
2, 7, 19, 47
What are the prime factors of 67438?
2, 7, 4817
What are the prime factors of 14850?
2, 3, 5, 11
List the prime factors of 24434.
2, 19, 643
What are the prime factors of 7157?
17, 421
What are the prime factors of 36340?
2, 5, 23, 79
What are the prime factors of 36493?
36493
List the prime factors of 1598.
2, 17, 47
List the prime factors of 10653.
3, 53, 67
List the prime factors of 616.
2, 7, 11
What are the prime factors of 1088?
2, 17
List the prime factors of 4662.
2, 3, 7, 37
What are the prime factors of 44382?
2, 3, 13, 569
List the prime factors of 2580.
2, 3, 5, 43
List the prime factors of 9206.
2, 4603
List the prime factors of 38685.
3, 5, 2579
What are the prime factors of 1189?
29, 41
List the prime factors of 15909.
3, 5303
List the prime factors of 1091.
1091
What are the prime factors of 15320?
2, 5, 383
List the prime factors of 3075.
3, 5, 41
What are the prime factors of 40202?
2, 20101
What are the prime factors of 20109?
3, 6703
List the prime factors of 51.
3, 17
What are the prime factors of 907?
907
What are the prime factors of 14383?
19, 757
List the prime factors of 1502.
2, 751
What are the prime factors of 1806?
2, 3, 7, 43
What are the prime factors of 710?
2, 5, 71
List the prime factors of 569.
569
List the prime factors of 691.
691
List the prime factors of 1909.
23, 83
What are the prime factors of 318?
2, 3, 53
List the prime factors of 5558.
2, 7, 397
What are the prime factors of 207?
3, 23
What are the prime factors of 88832?
2, 347
List the prime factors of 9227.
9227
List the prime factors of 57925.
5, 7, 331
List the prime factors of 6184.
2, 773
List the prime factors of 434.
2, 7, 31
What are the prime factors of 6053?
6053
List the prime factors of 2028.
2, 3, 13
What are the prime factors of 908?
2, 227
List the prime factors of 3751.
11, 31
What are the prime factors of 3687?
3, 1229
What are the prime factors of 471?
3, 157
What are the prime factors of 14289?
3, 11, 433
List the prime factors of 22525.
5, 17, 53
List the prime factors of 755.
5, 151
What are the prime factors of 15170?
2, 5, 37, 41
List the prime factors of 32.
2
What are the prime factors of 19758?
2, 3, 37, 89
List the prime factors of 41270.
2, 5, 4127
List the prime factors of 3711.
3, 1237
What are the prime factors of 18600?
2, 3, 5, 31
What are the prime factors of 4117?
23, 179
What are the prime factors of 3136?
2, 7
What are the prime factors of 13485?
3, 5, 29, 31
List the prime factors of 485.
5, 97
List the prime factors of 1318.
2, 659
List the prime factors of 620.
2, 5, 31
List the prime factors of 38706.
2, 3, 6451
What are the prime factors of 629?
17, 37
List the prime factors of 11041.
61, 181
List the prime factors of 376.
2, 47
What are the prime factors of 55627?
11, 13, 389
What are the prime factors of 13454?
2, 7, 31
List the prime factors of 4611.
3, 29, 53
What are the prime factors of 739?
739
What are the prime factors of 1691?
19, 89
What are the prime factors of 192?
2, 3
List the prime factors of 2252.
2, 563
List the prime factors of 2748.
2, 3, 229
What are the prime factors of 10995?
3, 5, 733
What are the prime factors of 13487?
13487
What are the prime factors of 6644?
2, 11, 151
List the prime factors of 1907.
1907
What are the prime factors of 2036?
2, 509
What are the prime factors of 3872?
2, 11
List the prime factors of 68240.
2, 5, 853
List the prime factors of 626.
2, 313
What are the prime factors of 51782?
2, 17, 1523
What are the prime factors of 321?
3, 107
List the prime factors of 37770.
2, 3, 5, 1259
List the prime factors of 3846.
2, 3, 641
What are the prime factors of 3313?
3313
What are the prime factors of 4418?
2, 47
List the prime factors of 593.
593
What are the prime factors of 57025?
5, 2281
What are the prime factors of 627?
3, 11, 19
What are the prime factors of 19744?
2, 617
List the prime factors of 627.
3, 11, 19
List the prime factors of 2214.
2, 3, 41
What are the prime factors of 12644?
2, 29, 109
What are the prime factors of 8589?
3, 7, 409
List the prime factors of 2366.
2, 7, 13
List the prime factors of 2177.
7, 311
What are the prime factors of 2647?
2647
What are the prime factors of 1537?
29, 53
List the prime factors of 6922.
2, 3461
What are the prime factors of 1081?
23, 47
List the prime factors of 535.
5, 107
List the prime factors of 3919.
3919
List the prime factors of 701.
701
List the prime factors of 658.
2, 7, 47
What are the prime factors of 36913?
36913
What are the prime factors of 5361?
3, 1787
List the prime factors of 134438.
2, 67219
What are the prime factors of 1293?
3, 431
List the prime factors of 1338.
2, 3, 223
What are the prime factors of 22046?
2, 73, 151
List the prime factors of 1097.
1097
What are the prime factors of 75434?
2, 37717
List the prime factors of 5147.
5147
List the prime factors of 1991.
11, 181
What are the prime factors of 14955?
3, 5, 997
List the prime factors of 1282.
2, 641
What are the prime factors of 4201?
4201
List the prime factors of 5987.
5987
What are the prime factors of 6236?
2, 1559
What are the prime factors of 2596?
2, 11, 59
What are the prime factors of 7407?
3, 823
What are the prime factors of 1234?
2, 617
List the prime factors of 6379.
6379
What are the prime factors of 3328?
2, 13
List the prime factors of 2058.
2, 3, 7
List the prime factors of 117221.
13, 71, 127
List the prime factors of 1647.
3, 61
What are the prime factors of 1950?
2, 3, 5, 13
List the prime factors of 59118.
2, 3, 59, 167
List the prime factors of 91898.
2, 45949
What are the prime factors of 90365?
5, 11, 31, 53
What are the prime factors of 385?
5, 7, 11
What are the prime factors of 567?
3, 7
List the prime factors of 95322.
2, 3, 15887
List the prime factors of 807.
3, 269
What are the prime factors of 68037?
3, 22679
What are the prime factors of 198?
2, 3, 11
List the prime factors of 667.
23, 29
What are the prime factors of 309?
3, 103
List the prime factors of 74744.
2, 9343
What are the prime factors of 114281?
114281
What are the prime factors of 79272?
2, 3, 367
List the prime factors of 24598.
2, 7, 251
List the prime factors of 9774.
2, 3, 181
What are the prime factors of 26947?
26947
What are the prime factors of 6767?
67, 101
List the prime factors of 6888.
2, 3, 7, 41
What are the prime factors of 78?
2, 3, 13
List the prime factors of 115133.
115133
What are the prime factors of 1807?
13, 139
List the prime factors of 1402.
2, 701
What are the prime factors of 1588?
2, 397
What are the prime factors of 4239?
3, 157
List the prime factors of 2383.
2383
What are the prime factors of 189?
3, 7
List the prime factors of 3034.
2, 37, 41
List the prime factors of 4283.
4283
What are the prime factors of 3069?
3, 11, 31
What are the prime factors of 65643?
3, 21881
List the prime factors of 2410.
2, 5, 241
List the prime factors of 1100.
2, 5, 11
What are the prime factors of 19089?
3, 7, 101
List the prime factors of 6115.
5, 1223
List the prime factors of 8420.
2, 5, 421
List the prime factors of 36578.
2, 18289
List the prime factors of 11554.
2, 53, 109
What are the prime factors of 36254?
2, 18127
List the prime factors of 1324.
2, 331
What are the prime factors of 133?
7, 19
What are the prime factors of 19501?
19501
What are the prime factors of 53182?
2, 26591
List the prime factors of 26590.
2, 5, 2659
What are the prime factors of 11436?
2, 3, 953
What are the prime factors of 1552?
2, 97
List the prime factors of 2572.
2, 643
List the prime factors of 8750.
2, 5, 7
List the prime factors of 43836.
2, 3, 13, 281
List the prime factors of 5142.
2, 3, 857
List the prime factors of 6250.
2, 5
List the prime factors of 25489.
71, 359
List the prime factors of 193132.
2, 53, 911
What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
h - 29 = 0, 3*y + h = -7 - 16. Let g be c(y). Solve -g*n + k + 1 = 0, 0 = -n - n - 4*k + 10 for n.
1
Suppose -3*r - 4 = -4*r. Let p = 12115 + -12098. Solve -r*x - 3*g - 2 = -p, -5*g = -25 for x.
0
Let s be ((-16)/6)/2 + (-32)/(-6). Let f be 40/s - ((-4)/2 + 4). Solve -4*y - 44 + f = 5*n, 4*y + 4 = 3*n for y.
-4
Suppose -7*d + 10*d + 16*d = 0. Let b(k) = k**3 + 4*k**2 - 20*k + 10. Let u be b(-7). Solve -u*g - 2*g - y + 30 = d, -5*g + 35 = 2*y for g.
5
Suppose c - 21 = 5. Let g = -26 + c. Solve -4*r - 3*v - 10 + 3 = g, -3*v = 2*r + 5 for r.
-1
Let o(y) = -y + 11. Let w be o(6). Suppose -w*t - 14 = -12*t. Solve 2*q = t*x + 6, 3 = -q - 2*x + 12 for q.
5
Let n = 124 - 123. Solve 4*g = 4*z + 4, -3*g - 5*z = 36 + n for g.
-4
Suppose 38*d + 2 = 116. Solve i = -5*h - 4, 3*h = d*i + 2 + 10 for i.
-4
Suppose 3*c = 4*b - 35 + 27, 4*c = 2*b + 6. Solve z + n - 7 = -2*n, -2*n = -c for z.
1
Let j(g) = g**2 + 18*g + 34. Let x be j(-16). Solve 3*r - 2*w + 1 = 0, r + 3*w - 5 = x*r for r.
1
Suppose 4*y - 4*f = 60, -y - 3*f + 55 = y. Suppose -w = -0*w + 4*i - y, -16 = w - 5*i. Solve 0 = 4*v + t - 4, 3*v - w = -v + t for v.
1
Suppose 3*s + 4*s = 210. Suppose -5*x - 5 + s = 0. Solve -3*c + 5*c + x*l + 15 = 0, 0 = 2*l + 10 for c.
5
Let k = -37 + 122. Let q = k - 83. Solve 3*v - 5 = 6*v - 5*m, -2*m + 6 = -q*v for v.
-5
Let u = -17 + 20. Let w be (2/3)/(((-10)/105)/1). Let r be 9/(-1)*(6 + w). Solve -r = -u*l + 3*o, -2*o = 3*l - 0*l - 4 for l.
2
Suppose -2*u - 16 = -26. Suppose 23 = 4*r - u*w, -5*r + 3*w = -w - 22. Solve 0 = 4*l + 7*j - r*j - 16, 5*l - 20 = -3*j for l.
4
Let n(z) = -2*z**3 - 22*z**2 - 4*z - 33. Let t be n(-11). Solve d - 6 = 3*h, -3*h = 3*d + t + 7 for d.
-3
Let b(j) = -11*j - 140. Let n be b(-13). Solve -n*h = 2*h, -2*f = -3*h + 2 for f.
-1
Let f(k) = -k**2 - 53 - 5*k + 53. Let i be f(-5). Suppose -4*s + i*s + 20 = 0. Solve 2*x + 4*r - 16 = 0, -9 = s*x - 2*r + 11 for x.
-2
Suppose -7*n = -4*n - 21. Suppose 4*m = -2*h + 6, 2*m - 9 = -3*h + n*m. Let a be (3 - h)/(-3 - -5). Solve -4*g + a*g - f = -15, 3*g + 2*f - 15 = 0 for g.
3
Let p(x) = x**3 - 17*x**2 + 11*x + 82. Let w be p(16). Solve -20 = 3*b - 2*y, 7*y = w*y + 20 for b.
-4
Suppose -5*v - 3 = 3*p + 1, 2*p - 2*v = 8. Let g be 132/18 - (-12)/(-9). Let m be g - 9 - -2*21. Solve 13 = -p*z + 4*y + m, 7 = -z - 2*y for z.
3
Let x be 1*-18*8/(-24). Let z(l) = 6 - 3*l**2 + 4*l**2 - x - 2 + l. Let d be z(2). Solve 0*f + 5*m = d*f - 8, m = 3*f + 5 for f.
-3
Let z(f) = -5*f**2 + f + 1. Let c be z(-2). Let p = -16 - c. Suppose -6*q = -p - 7. Solve -10 = -k - q*h, h = -3*k - k + 12 for k.
2
Suppose n + 3*n = 16. Let q(p) = -2*p + 27. Let v be q(15). Let y be ((-2)/(-4))/(v/(-30)). Solve -4*j + z = -0*z, -n*j = -y*z for j.
0
Let a = -207 + 222. Solve -5*b - a = -5*v, -4*v + 4 = -b + 1 for v.
0
Let x(m) = 2*m**2 - m - 4. Let k be (-6)/4*(-13)/(78/(-12)). Let b be x(k). Solve -p + 5*p + g - 21 = 0, -3*p = 2*g - b for p.
5
Let x = -357 + 372. Let z(u) = u**3 - 14*u**2 - 16*u + 20. Let v be z(15). Solve -v*s - x = -4*k, 0 = k - 2*k - 4*s + 9 for k.
5
Suppose -z - 5*p + 26 = 0, 3*z - 6*p + 12 = -3*p. Let f be (-40)/(-5) + -4*z. Solve i + f*x + 8 = 3, -5*x - 8 = 3*i for i.
-1
Let w = -72 + 82. Let l be w/6*(1 + 2). Solve -l*o = -9 - 1, 3*d - o = -8 for d.
-2
Suppose -16*h + 14*h = -22. Let w be (-8)/(-52) - (-1 + h/(-13)). Solve 0 = -5*q + 15, -5*v - w*q + q + 8 = 0 for v.
1
Suppose -3*a = -r - 9, -a - 3*r + 7 = 14. Solve -4*x = 4*q + q - 20, -a*x = -3*q - 10 for x.
5
Let z be (6/12)/((-1)/(-10)). Suppose 0 = -5*j - 2*d + 48, -4*j + 2*j = -4*d. Let s = j - z. Solve 5*l + 12 = s*h, 6*l + h + 13 = 2*l for l.
-3
Suppose 0 = -12*y + 8*y + 20. Solve 5*w + 5*i + 17 = -8, w + 5*i = -y for w.
-5
Suppose -f = -5*r + 44, -3*r - 4*f = f - 32. Suppose 0 = 6*d + 8*d - r*d. Solve d = -2*a + 2*l, l + 4 = a - l for a.
-4
Let w be 4 + (-1 + 1)/3. Let a = 49 + -24. Let q = 28 - a. Solve -12 = w*m - 2*v, q*m + 10 = -m + 3*v for m.
-4
Let z = 53 - 41. Solve -z = 7*p - 3*p, 2*g = -p - 13 for g.
-5
Suppose 4*r - 4 + 0 = 4*u, 3*u + 3*r = 15. Suppose 3*x = -15, l = -l - u*x. Solve 2*b + b = -l*n + 15, -4*b + 20 = n for b.
5
Let w = -875 - -896. Solve -w = -0*r - 2*r + 5*h, -4*r - 2*h = -6 for r.
3
Let x(s) = -s**3 + 37*s**2 - 38*s + 72. Let g be x(36). Solve 5*u - 4*u + w - 2 = g, -2*u = 4*w - 2 for u.
3
Let s be (-492)/60 + 9 - (-363)/15. Let l = 18 + -5. Suppose -29 = -4*f + 3*x, 0*f - 4*x + l = 5*f. Solve 5*c - h = 2*h - 15, c + f*h = s for c.
0
Let o be (-8 + 1 + 7)/(-2). Solve 0 = i - j + 9, -16 = -o*i + 4*i + j for i.
-5
Suppose 318 = r + 5*r. Suppose -3*g - 34 = -3*d - 7*g, 3*g - r = -5*d. Solve n + b = 5 - 4, n - 2*b - d = 0 for n.
4
Suppose 6*c = 12 - 0. Solve 19 = -5*o + 3*z, c*z + 6 = 2 for o.
-5
Let c(h) = -h**2 + 23*h - 18. Let p be c(22). Solve 0 = p*i + 3*o + 14, 16 - 2 = -2*i + 2*o for i.
-5
Let f(q) = -q**2 + 2*q + 3. Let t be f(2). Let a be (-2)/(132/(-63) - -2). Solve 5*w + 2*u - a = -6, 0 = t*w + 3*u for w.
5
Suppose 0 = -2*i + 7 + 33. Solve -5*y = i, 2*z + 2*y - y - 4 = 0 for z.
4
Let p = -3 + 8. Suppose 0 = p*u - 4*u. Solve 3*f - 3 = 0, -3*w + u = 5*f - 8 for w.
1
Let a(q) = -14*q - 135. Let w be a(-10). Solve -3 = w*h + 4*g, 4*h - 3*g + 5*g = 0 for h.
1
Let d be -4 + 31/4 - 2/(-8). Let a be (d/(-5))/(0 + 3/(-15)). Solve -a*f = 4, -2*f = -p - 3*f + 1 for p.
2
Let w = -266 + 268. Solve l + 15 = 4*y, w*l - 2 = -0*l for y.
4
Suppose 4*d = -4*f + 100, -d - 33 = -f - 0*f. Let l = f - 26. Solve 0 = -l*b + 3, 2*q - 10 = 5*q - b for q.
-3
Let h(x) = -3*x + 7. Let y be h(-5). Let b = y + -16. Suppose 0 = -2*d + 28 - 18. Solve 3*t - 15 = 0, 1 - b = -d*w + t for w.
2
Suppose -19*h - 21*h = -80. Solve -n - 3*j + 12 = 0, -2*n + 13 = -3*n + h*j for n.
-3
Suppose 25 = 5*p - 0*p. Solve p*l - 2*n = -1, -3*l - 3*n - 2*n = -18 for l.
1
Let r = 1743 - 1740. Solve f + 11 = -2*f + q, 19 = r*f + 5*q for f.
-2
Let o = 833 - 830. Solve -2*w = -4*w - o*r + 4, -w = 2*r - 3 for w.
-1
Let o = -23 - -28. Solve o*y + 26 = -5*g + 1, -3*g = 6 for y.
-3
Suppose 3*z = -5 + 5. Suppose z = -2*w + 6. Solve 3*y + 2*o + 2 + w = 0, -5*y = -o + 17 for y.
-3
Let v(y) = -y**2 - 11*y - 10. Let g be v(-4). Suppose -g = -l + 4*t, -2*t = t + 12. Solve 4*b - w + l = 0, -3*b = 5*w - 10 - 0 for b.
0
Let s be (4 - 2 - 1)*32. Let q = -457 - -461. Solve 2*d - 3 = -2*b - 7, -q*d = -4*b + s for d.
-5
Suppose -4767*w = -4759*w - 256. Solve -4*p = -5*n - w, -n - 1 = 5*p + 3*n for p.
3
Let x be (67 - 74) + (1*-2 - -7). Let t(v) = -v**3 + 2*v**2 + v - 1. Let i be t(2). Let g = i - x. Solve -5*l = -g*d + 11, 2*l = d - 0 - 4 for l.
-1
Let o = 32 - 8. Suppose 0 = -5*c + 4*m - 20, c + 2*m = 7 + 3. Let w(f) = 2*f**2 - 28*f + 5. Let x be w(14). Solve c = -3*z - 3*g + 6*g, -x*z - 3*g = o for z.
-3
Let n = -26 + 26. Let k(d) = d**2 + 12. Let b be k(n). Solve -4*s - 6 = -5*l - 22, 0 = -3*s + b for l.
0
Let q(j) = -3*j + 15. Let w be q(7). Let a = w + 8. Suppose -5*p - 5 = 3*c, 0*c - 3*p - 2 = a*c. Solve -4*x + 3 = -3*m - 2*m, -18 = x + c*m for x.
-3
Suppose 5*y = y + 8. Suppose 10 = -5*w - 5*z + 55, y*w - z = 6. Solve -7 - 13 = w*g - 5*p, -g = -5*p + 8 for g.
-3
Suppose 0 = -2*h - 2*h + 16. Let i(m) = -8*m + 56. Let q = 98 - 91. Let n be i(q). Solve -h*y + 16 = n, 5*o - 2*y = 4*o - 5 for o.
3
Let j(c) = c**3 + 5*c**2 - 6*c - 3. Let h be j(-5). Suppose -18 - h = 3*s. Let b = 32 + s. Solve -4*x - b = -5*v, 3*v - 5*x = 3 + 2 for v.
5
Let j(p) = p + 1. Let g be j(3). Suppose 127*z = 90*z + 148. Solve -2*f - 20 = -4*t, -4*f + g*t + z = 28 for f.
-2
Let g = 25 + -23. Suppose g*d = -2*q - 2, 2*d - 5*q - 2 - 3 = 0. Solve 12 = -3*f, d = -a + f + 3 - 2 for a.
-3
Let f(y) = -y**2 + 7*y - 6. Let h be f(6). Let t = -1638 - -1642. Solve 0 = t*z + 8, 3*l + h*z = 5*z - 5 for l.
-5
Let y(r) = r**3 - 6*r**2 + 8*r. Let h be y(4). Suppose 4*w - 96 = -h*w. Solve -4*a + w = 2*f, -4*a + 8*a + f - 20 = 0 for a.
4
Let y be -1*(-1)/(-3)*-1*39. Let l = y - 9. Solve 4*m + 5*b - 11 = 0, 0*m + 2*m - l*b - 12 = 0 for m.
4
Let n be -2*25/(-4)*-8. Let j = -95 - n. Solve -k = -3*v + 7, -4*v + j = -7 for k.
2
Let v = 1 - -12. Suppose f - 9 = v. Suppose 2*i + f - 28 = 0. Solve -i*a - 6 = 3*d - 15, -4*a = -3*d + 16 for d.
4
Suppose -22*q + 66 + 22 = 0. Solve 19 = -q*u + 2*y + y, -3*u = -2*y + 13 for u.
-1
Let l be (-57) | {
"pile_set_name": "DM Mathematics"
} |
(x) + 2*w(x).
-2*x**2 + x + 2
Let y(t) = t**2 + 2*t + 4. Let d(l) = -l**3 - l**2 - 3*l - 5. Let z be 2/9 - (-6)/(-27). Suppose 3*q + 2*g - 5 = -4, -3*q - 3*g + 6 = z. Give q*y(i) - 2*d(i).
2*i**3 - i**2 - 2
Let o(d) = -d**2 - d - 1. Let h(k) = 4*k**2 + 4*k + 2. Let f = 13 - 15. Calculate f*o(j) - h(j).
-2*j**2 - 2*j
Let y(c) = 1 + 0*c**2 + 5*c - 4*c - 3*c**2 + 2*c**2. Let z(b) = 3*b**2 - 5*b - 7. Give -5*y(p) - z(p).
2*p**2 + 2
Let p be 14/2 + (4 - 5) + 0. Let b(w) = w**3 + w**2 - 7*w. Let d(t) = t**3 + t**2 - 6*t. Calculate p*b(q) - 7*d(q).
-q**3 - q**2
Let b(l) = 3*l. Suppose -2*m + 4 = -2*g, -4*m + 2*g + 19 = -7*m. Let t(j) = -j**2 + 8*j. Calculate m*t(d) + 8*b(d).
3*d**2
Let p(q) be the second derivative of -q**2/2 - 2*q. Let i(a) = -2*a + 10. Give -2*i(o) - 20*p(o).
4*o
Let f(s) = -3*s**2 + 9*s + 9. Let b(q) = -q**2 + 2*q + 2. Determine 9*b(h) - 2*f(h).
-3*h**2
Let j(l) = 2*l**3 + 3*l**2 - 3*l + 1. Let w(h) = -h**3 + h**2 - h - 1. Let u(b) = b**3 - 4*b**2 + 4*b + 1. Let k(g) = -u(g) - 2*w(g). Determine 2*j(q) - 3*k(q).
q**3 - 1
Let o(a) = 5*a. Suppose -2*b - 3 = 5. Let u(z) = -3*z. Determine b*o(j) - 7*u(j).
j
Let s(c) = c + 2. Let z(w) = -2 - 2 + 0*w - 3*w. Suppose -9 = -2*b - 19. Determine b*s(q) - 2*z(q).
q - 2
Let g(x) = 7*x**3 + 7*x. Let q(n) = -3*n**3 - 4*n. Determine 4*g(y) + 7*q(y).
7*y**3
Let h(g) = -3*g + 2 - g**2 + 3*g - g**2. Let f(d) = 2*d**2 - 3. Give -2*f(a) - 3*h(a).
2*a**2
Let m(i) = -5*i**3 + i + 3. Let v(p) = 14*p**3 - 3*p - 8. Let w be 52/(-6) - 14/(-21). Calculate w*m(x) - 3*v(x).
-2*x**3 + x
Suppose -j + 17 = 3*m + 4*j, -5*m = -2*j + 13. Let y(v) = -v - 4*v - 3 - 1. Let k(z) = 0*z - 3*z + 2*z - 1 + 0*z. What is m*y(p) + 3*k(p)?
2*p + 1
Let d(x) = 8*x**2 - x**2 - 3*x + 7*x - 7. Let y = -2 - -7. Let p(m) = 6*m**2 + 3*m - 6. Calculate y*p(b) - 4*d(b).
2*b**2 - b - 2
Let m(c) = -2542*c + 124. Let q(f) = -62*f + 3. Give -3*m(k) + 124*q(k).
-62*k
Let r(w) = -2*w**2 + w + 3. Let q(h) = -h**3 - 4*h**2 + 2*h + 7. Let b be q(-4). Let v(i) = i - 1. Give b*v(j) - r(j).
2*j**2 - 2*j - 2
Let w(o) = o**3 + 5*o**2. Let c(i) = 2*i**2 + 9*i**2 - 9*i**2. What is -5*c(k) + 2*w(k)?
2*k**3
Let r(w) = -w**2 - 4*w + 13. Let a(m) = 3*m**2 + 11*m - 40. Determine 4*a(g) + 11*r(g).
g**2 - 17
Let r(c) = -c - 2. Let w(g) = 3*g + 5. Let o(n) = 8*r(n) + 3*w(n). Let u(v) = 4*v - 8. What is 6*o(x) - u(x)?
2*x + 2
Let n(u) be the first derivative of -u**4/24 - u**3/6 - 3*u**2/2 - 4. Let z(m) be the second derivative of n(m). Let t(w) = 5*w + 8. Calculate t(x) + 6*z(x).
-x + 2
Let s(r) = 13*r**3 + 2*r**2 + 7*r. Let f(d) = 9*d**3 + d**2 + 5*d. Suppose 32 - 18 = 2*a. Calculate a*f(x) - 5*s(x).
-2*x**3 - 3*x**2
Let b(v) = 6*v + 8. Let k(w) = -4*w + 2. Let z = -34 + 26. Let q(i) = 11*i - 5. Let d(p) = z*k(p) - 3*q(p). What is -b(u) - 5*d(u)?
-u - 3
Let n(m) = -m**2 + 3*m + 1. Let d(p) = p**2 - 2*p. What is -3*d(a) - 2*n(a)?
-a**2 - 2
Let y(r) = r**3 - r. Let u(j) = 11*j**3 - 2*j. Determine -3*u(f) + 6*y(f).
-27*f**3
Let j(h) = 3*h. Suppose -20 = p + 3*p. Let i(k) = 35*k. Let z(u) = -7*u. Let r(m) = 3*i(m) + 14*z(m). What is p*j(f) + 2*r(f)?
-f
Let h(t) be the second derivative of t**3/6 - 3*t**2/2 - 11*t. Let p(y) be the third derivative of -y**4/12 + 5*y**3/6 - y**2. Give 10*h(r) + 6*p(r).
-2*r
Let b(r) = 3*r. Let d(f) = 16*f. Suppose 3*u - 6 = -0*u. Suppose u*k + 44 = -2*k. What is k*b(z) + 2*d(z)?
-z
Let w(s) = 4*s**2 + 14*s. Let c(z) = -z**2 - 3*z. Calculate 14*c(y) + 3*w(y).
-2*y**2
Let r(u) = u + 3. Let o(j) = j**2 + 3*j + 5. Calculate 3*o(k) - 5*r(k).
3*k**2 + 4*k
Let o(r) = 8*r + 6. Let t(z) = 2*z - 4. Let k be t(3). Let j(v) = -k*v - 5 + 0*v + 0*v - 5*v. What is 7*j(i) + 6*o(i)?
-i + 1
Let b(w) = -25*w. Let y(q) = q + 8. Let k be y(-11). Let f(c) = 2*c. Give k*b(t) - 35*f(t).
5*t
Let u(r) = 3*r**3 + 2*r**2 - 2*r. Let y(l) = 15*l**3 + 11*l**2 - 11*l. Let a = -78 + 67. Calculate a*u(j) + 2*y(j).
-3*j**3
Let c(u) be the second derivative of 11*u**3/6 + 10*u**2 - 4*u. Let v(r) = -4*r - 7. Give 6*c(a) + 17*v(a).
-2*a + 1
Let o = -39 - -32. Let m(b) = 2*b**2 - 5*b + 2. Suppose -4*g + 3 = -4*d + 15, 3*d = 2*g + 10. Let x(w) = 5*w**2 - d + 9 - 17*w + 6*w. Calculate o*m(l) + 3*x(l).
l**2 + 2*l + 1
Let s(w) = 7*w - 6. Let h(z) = -z + 1. Calculate 5*h(i) + s(i).
2*i - 1
Let g(d) = -6675*d**3 + 375*d**2 - 375*d. Let m(l) = -71*l**3 + 4*l**2 - 4*l. What is 4*g(u) - 375*m(u)?
-75*u**3
Let w(s) = s + 3. Let y(m) be the second derivative of m**3/3 + 7*m**2/2 - 5*m. Give 14*w(k) - 6*y(k).
2*k
Let a(n) = 8*n**2 - 3*n. Let c(x) = 20*x**2 - 20*x. Let b(z) = 7*z**2 - 7*z. Let p(u) = 17*b(u) - 6*c(u). What is -a(i) - 6*p(i)?
-2*i**2 - 3*i
Let r(b) be the first derivative of -b**4 + 2*b**2 + 4*b + 30. Let x(k) = 5*k**3 - 5*k - 5. What is 6*r(y) + 5*x(y)?
y**3 - y - 1
Let n(a) = 3*a**3 - 5*a**2 - 4*a + 9. Let s(j) = -j**2 - 5*j - 7. Let w be s(-5). Let t(y) = -4*y**3 + 7*y**2 + 6*y - 13. Calculate w*n(h) - 5*t(h).
-h**3 - 2*h + 2
Let h(m) = 2*m**3 - m**2 + 11. Let q(x) = -x**3 + 6*x**2 - 10*x. Let l be q(3). Let f(y) = y**3 - y**2 + 6. Calculate l*h(g) + 5*f(g).
-g**3 - 2*g**2 - 3
Let g = 20 - 3. Let d = 12 + -18. Let i(j) = j**3 - 6*j**2 - 6*j + 6. Let p(m) = 3*m**3 - 17*m**2 - 17*m + 17. Calculate d*p(s) + g*i(s).
-s**3
Let h(q) = q - 3. Let t(x) = x - 7. Let o be t(5). Let z be (o/6)/(3/45). Let y be (3/z)/((-1)/(-5)). Let u(r) = 1. Determine y*u(a) - h(a).
-a
Let w(r) = -2*r**2 - 6*r - 6. Let p(k) = -k - 1. Suppose 2*u - 3*u + 16 = 3*g, g - 8 = -3*u. Determine u*w(i) - 6*p(i).
-2*i**2
Let k(q) = -q**2 - q + 1. Let s = -13 + 14. Let i(c) = c**3 - 2*c**2 - c + 1. What is s*k(l) - i(l)?
-l**3 + l**2
Let v(u) = -22*u**2. Let d(m) = m**2. Calculate 72*d(j) + 4*v(j).
-16*j**2
Let x(m) = -17*m**2 - 13*m + 4. Let a(q) = 9*q**2 + 7*q - 2. Determine 7*a(c) + 4*x(c).
-5*c**2 - 3*c + 2
Let i(k) = 3*k + 6. Let d(q) = -7*q - 11. Give 6*d(r) + 11*i(r).
-9*r
Let h(u) = 6*u + 2. Let a(x) = 22*x + 13. Let j(n) = 33*n + 20. Let k(t) = 8*a(t) - 5*j(t). Give -5*h(p) + 3*k(p).
3*p + 2
Suppose 4*k + 2*d = 0, 2*d - 7*d = -5*k + 30. Let o = k - -6. Let h(v) = 1 - 1 + 14*v - o. Let p(y) = 9*y - 5. What is -5*h(b) + 8*p(b)?
2*b
Let w(r) = -4*r**2 + 2*r + 1. Let v(n) = -8*n**2 + 3*n + 1. Determine -3*v(q) + 5*w(q).
4*q**2 + q + 2
Suppose -3*c + 4*c = 2*n + 1, -2*c + 4 = -2*n. Let d(w) = -4*w + 8. Let s(y) = -y + 1. What is n*d(o) - 6*s(o)?
2*o + 2
Let d(m) = -2*m + 1. Let c(b) = 2*b - 1. Let v = 1 + 2. Calculate v*c(z) + 4*d(z).
-2*z + 1
Let f(u) = -17*u - 4. Let l(q) = -16*q - 3. What is 2*f(s) - 3*l(s)?
14*s + 1
Let y(b) = 3*b**3 - 5*b**2 + 5*b. Let g be (-2)/4 + (-63)/(-6). Let c(i) = -i**3 + 2*i**2 - 2*i. Give g*c(z) + 4*y(z).
2*z**3
Let s(p) = 13*p**3 + 6*p**2 - 2. Let n(k) = -38*k**3 - 17*k**2 + 6. Give 6*n(h) + 17*s(h).
-7*h**3 + 2
Let w(r) = -4*r**2 + 2*r - 5. Let k = -77 + 80. Let l(z) = -7*z**2 + 3*z - 9. Give k*l(s) - 5*w(s).
-s**2 - s - 2
Let d(v) = -15*v**3 + 11*v**2 + 11*v + 21. Let y(p) = -8*p**3 + 6*p**2 + 6*p + 11. Give -6*d(s) + 11*y(s).
2*s**3 - 5
Let b(n) = -2*n - 3. Let u(f) = -3*f - 5. Let t = 41 - 3. Let s be t/6 - (-2)/3. Let a = 15 - s. What is a*b(h) - 5*u(h)?
-h + 1
Let l(v) be the third derivative of 1/20*v**5 - 1/2*v**3 + 0*v + 0 + 0*v**4 + 2*v**2. Let f(p) = 4*p**2 - 4. Calculate -5*f(u) + 7*l(u).
u**2 - 1
Suppose -4*w - 12 = 2*u - 8*w, 5*u = -5*w - 30. Let l(i) = -15*i + 17. Let s(m) = 5*m - 6. Calculate u*l(z) - 17*s(z).
5*z
Let z(u) = 11*u**3 + 2*u**2 - 4*u + 6. Let w(b) = 10*b**3 + 2*b**2 - 5*b + 7. Calculate -6*w(m) + 7*z(m).
17*m**3 + 2*m**2 + 2*m
Let r(h) = -h**2 + 4*h + 2*h - 3*h + 5. Let l(c) = c**2 - 2*c - 4. Suppose 0 = -a + 2*j + 15, 5*a - 2 - 3 = -4*j. Let p be 10*2/10*2. Determine a*l(n) + p*r(n).
n**2 + 2*n
Suppose -5*s + 10 = -3*s. Let w = 15 + -21. Let d(l) = 4*l - 7. Let b(c) = -6 - 2 + 5*c + 0. Give s*b(o) + w*d(o).
o + 2
Let i(x) = 2*x + 7. Let j(k) = k + 8. Calculate 2*i(h) - 3*j(h).
h - 10
Let p(d) = 25*d**2 - 3*d + 2. Let r(x) = -x. Determine p(q) - 3*r(q).
25*q**2 + 2
Let u(j) = 3*j**2 + 4*j. Suppose -2*b = -n - 7, -5 = -b + 3*n + 6. Let f(h) = h**2 + h + 1. What is b*f(o) - u(o)?
-o**2 - 2*o + 2
Let j(w) = w**2 - 3*w - 5. Let g(u) = -u - 2. Let k(q) = q**3 - 6*q**2 + 7*q - 5. Let h be k(5). Determine h*g(r) - 2*j(r).
-2*r**2 + r
Let m( | {
"pile_set_name": "DM Mathematics"
} |
vative of u(x) wrt x?
134
Let j(z) be the second derivative of -z**6/30 + 7*z**5/20 + 145*z**4/12 - 249*z. What is the third derivative of j(m) wrt m?
-24*m + 42
Let k(g) be the first derivative of -3*g**3 + 0*g + 16 - 18 - 28*g - 13. Find the first derivative of k(o) wrt o.
-18*o
Let c = 3 - 11. Let o = 10 + c. What is the third derivative of 3*r**6 - 3*r**6 - r**o - 6*r**6 - 5*r**2 wrt r?
-720*r**3
Let f(m) = 11*m**4 + 6*m**3 - m**2 - 70. Let t(y) = 21*y**4 + 13*y**3 - 2*y**2 - 140. Let q(p) = 13*f(p) - 6*t(p). What is the first derivative of q(c) wrt c?
68*c**3 - 2*c
Let t(a) = -7*a**4 - 3*a**2 - 4*a - 64. Let y(d) = 15*d**4 + 7*d**2 + 8*d + 127. Let c(x) = 7*t(x) + 3*y(x). Differentiate c(k) with respect to k.
-16*k**3 - 4
Suppose 30 = 5*f + 4*u, -12 = 4*f + u - 5*u. Let x(o) = -o**2 + 5*o + 2. Let m be x(5). Differentiate -2*a + 4*a**f + 5 - 2*a**m + 2*a with respect to a.
4*a
Let s be (-8)/2 - -3 - -5. What is the first derivative of -9*h**4 - s + 8*h**4 - 17*h**4 + 9 wrt h?
-72*h**3
What is the third derivative of 36*b**6 + 159*b**2 - 388 + 194 - 64*b**2 + 194 wrt b?
4320*b**3
Let f(u) be the second derivative of -43*u**8/56 + 3*u**4 - u**2 - 19*u - 3. Find the third derivative of f(v) wrt v.
-5160*v**3
What is the third derivative of 65*n**3 - 265*n**3 + 844 - 844 + 80*n**2 wrt n?
-1200
Let t be (-3)/((-15)/(-20)) + 5. Differentiate -2*p + 2 - t - 3 wrt p.
-2
Let h(a) = -317*a**3 + 6*a**2 + 266*a + 20. Let t(s) = 106*s**3 - 2*s**2 - 89*s - 7. Let i(p) = 6*h(p) + 17*t(p). Find the second derivative of i(u) wrt u.
-600*u + 4
Let a(h) = -40*h**3 - h**2 + 8*h. Let b(t) = 40*t**3 - 6*t. Let j(l) = -4*a(l) - 5*b(l). What is the third derivative of j(k) wrt k?
-240
Let l(c) = -c**3 + 6*c**2 - 44*c - 146. Let h(a) = -2*a**3 + 13*a**2 - 87*a - 292. Let f(i) = 6*h(i) - 13*l(i). Find the first derivative of f(r) wrt r.
3*r**2 + 50
Let q(y) be the second derivative of 2*y**7/21 - 317*y**3/6 + 518*y. Find the second derivative of q(v) wrt v.
80*v**3
Let p = 2321 - 1391. Find the second derivative of 930*q**3 - 4*q**4 - p*q**3 + 10*q wrt q.
-48*q**2
Let y(k) be the third derivative of -3*k**7/14 + k**6/120 + 155*k**4/12 + 34*k**2 - 2*k. What is the second derivative of y(d) wrt d?
-540*d**2 + 6*d
Let h(u) be the first derivative of 0*u**2 + 15/4*u**4 - 4 + 0*u + 5*u**3. Find the third derivative of h(s) wrt s.
90
Find the second derivative of 76*u - 31*u**2 + 6 - 47*u**2 - 4 wrt u.
-156
Let b(t) be the first derivative of 2/3*t**3 + 11*t + 7 + 0*t**2. What is the first derivative of b(w) wrt w?
4*w
What is the third derivative of -t**2 - 1 + 636*t - 636*t + 47*t**3 wrt t?
282
What is the second derivative of -18*x - 1 + 26792*x**2 - 26792*x**2 - 72*x**3 wrt x?
-432*x
Let b(t) be the second derivative of 43*t**6/30 - 17*t**2 + 3*t + 12. What is the derivative of b(n) wrt n?
172*n**3
Let b(v) be the second derivative of 2*v**6/15 - v**5/60 - 10*v**2 - 8*v. Let h(f) be the first derivative of b(f). Find the third derivative of h(u) wrt u.
96
Let a(j) be the first derivative of -15*j**4 + 13*j**2 + 84. Find the second derivative of a(w) wrt w.
-360*w
Let u(s) = -4*s**2 + 6*s - 3. Let g(l) = -5*l**2 + 5*l - 4. Let i(n) = 6*g(n) - 5*u(n). Find the first derivative of i(f) wrt f.
-20*f
Suppose -35 = -3*n + 5*v, -5*n + 77 = -0*v + v. Find the second derivative of -28*r**2 + 4*r - 3 + n*r**2 + 3 wrt r.
-26
Let m(z) = 2*z**3 - z**2 + z - 1. Let x(p) = -41*p**3 + 6*p**2 - 153*p + 6. Let s(y) = -6*m(y) - x(y). Find the second derivative of s(r) wrt r.
174*r
Let j(v) be the first derivative of -5*v**8/28 - v**4 + 9*v - 12. Let d(n) be the first derivative of j(n). Find the third derivative of d(q) wrt q.
-1200*q**3
Let w(n) = -23*n**3 + n**2 - 2*n + 27. Let d(t) = -t**3 - t**2. Let q(v) = d(v) + w(v). Find the first derivative of q(a) wrt a.
-72*a**2 - 2
Let y(j) be the second derivative of 77*j**5/20 + 26*j**4/3 + j**3/6 - 41*j - 3. What is the third derivative of y(w) wrt w?
462
Let d = -27 + 36. What is the derivative of 0*n**4 - 8*n**4 + d - 2 wrt n?
-32*n**3
Find the first derivative of 4*g + 2*g - 3*g - 16*g**2 - 9*g - 1 + 8 wrt g.
-32*g - 6
Find the third derivative of -9*p**5 - p**3 - 10*p**4 - 2*p**2 + 7*p**3 + 12*p**5 - 6*p**3 - 481 wrt p.
180*p**2 - 240*p
What is the second derivative of 258*h - 3*h**4 - 99*h - 35*h**3 + 278*h - h**4 wrt h?
-48*h**2 - 210*h
Let h(x) = 2*x**4 - 2*x**3 - x**2 - x + 1. Let w(z) = 135*z**4 - 2*z**3 + z**2 - 2*z - 632. Let l(m) = h(m) - w(m). What is the second derivative of l(y) wrt y?
-1596*y**2 - 4
Suppose b + 12 = 3*b. Let k be 65/6 + b/36. What is the second derivative of -9*d**2 + 7*d + 5*d**3 - 2*d**2 + k*d**2 wrt d?
30*d
Find the third derivative of 3*q**2 - 14*q**3 - 4 + 3*q**3 - 26*q**3 wrt q.
-222
Let m = 6 + -2. Let j = 77 + -74. Differentiate -7 + 4 + j*u**m - 4 + 8*u**4 wrt u.
44*u**3
Suppose 5*r - 15 = -5*k, -6 = -4*k + 4*r - 2. What is the derivative of -25*s + 19 + k*s - 2*s wrt s?
-25
Let x(a) = 79*a**2 - 45. Let k(z) = 80*z**2 - 44. Let d(l) = 4*k(l) - 3*x(l). Differentiate d(r) wrt r.
166*r
Let u(t) = t. Let n(x) = 4*x - 4. Let w(q) = n(q) - 3*u(q). Let o be w(11). Find the second derivative of -91 + o*v**5 + 91 - v**5 + v wrt v.
120*v**3
Let g = 111 - 11. Let q be 2*-10*1/(-2). Find the third derivative of -100*d**5 - q*d**6 + d**2 + g*d**5 wrt d.
-1200*d**3
Let k(v) be the first derivative of 0*v + 0*v**3 + 9/4*v**4 - 12 - 7*v**2. Find the second derivative of k(g) wrt g.
54*g
Let f(o) = -189*o**3 - o + 21. Let c(z) = 95*z**3 - 10. Let a(k) = 5*c(k) + 2*f(k). What is the second derivative of a(i) wrt i?
582*i
Let l(j) = 0*j + 10 + 4*j + 2*j - 4*j. Let z be l(-4). Find the third derivative of k**4 + 2*k**2 + 2*k**2 + z*k**2 + 5*k**4 wrt k.
144*k
Let c(z) be the second derivative of 12*z + 8/3*z**3 + 9/20*z**5 + 0 + 0*z**4 + 0*z**2. Find the second derivative of c(w) wrt w.
54*w
Let i(u) = u**2 - 3*u - 1. Let g be i(6). Let c = -15 + g. Find the third derivative of 6*v**2 + c*v**2 + 0*v**2 - 8*v**4 + 5*v**4 wrt v.
-72*v
What is the second derivative of 15*c**5 + 3 - 4*c**5 - 40*c**5 - 34*c - 31*c wrt c?
-580*c**3
Let i(m) be the third derivative of 17*m**6/15 + m**4/12 + 8*m**3/3 + 104*m**2. What is the second derivative of i(v) wrt v?
816*v
Let o(t) be the first derivative of 2*t**2 + 6 + 0*t**3 + 0*t + 1/6*t**6 + 0*t**5 + 0*t**4. What is the second derivative of o(f) wrt f?
20*f**3
Let u(d) = 2*d**2 + 2*d - 1. Let f(i) = 27*i**3 + 6*i**2 - 8*i + 723. Let l(a) = f(a) - 3*u(a). What is the first derivative of l(v) wrt v?
81*v**2 - 14
Let u(z) be the third derivative of -79*z**6/120 - 13*z**4/24 + 4*z**3/3 - 11*z**2 + 4. Find the second derivative of u(p) wrt p.
-474*p
Let h(n) = n**3 + 7*n**2 - 8*n + 6. Let q be h(-8). Suppose q - 1 = j. What is the second derivative of -10*a - 4*a**j - 3*a + 8*a wrt a?
-80*a**3
Differentiate 560*u**2 + 697*u**2 - 1094*u**2 - 242 wrt u.
326*u
Let i(k) be the first derivative of 66*k**5/5 + 2*k**3/3 + 222*k - 272. Find the third derivative of i(p) wrt p.
1584*p
Let d(x) = 6*x**2 + 5*x**2 + 7*x**3 + 11*x - 8*x**3 + 15. Let r be d(12). Differentiate -4 - 5*h**3 + 9 + 3*h**r wrt h.
-6*h**2
Let m = -47 + 84. What is the derivative of c - c + c**2 + 0*c + m wrt c?
2*c
Suppose 4*i + 5*f - 62 = 0, 3*i = i + 2*f + 40. Find the second derivative of 6*w**4 - 5*w**4 - i*w - 26*w**4 wrt w.
-300*w**2
Let s(d) be the first derivative of -3/2*d**2 + 17 + 5/2*d**4 + 0*d**3 + 0*d. What is the second derivative of s(j) wrt j?
60*j
Suppose 5*w + 36 - 61 = 0. Let h(f) be the third derivative of 0 + 1/24*f**4 + 7/60*f**w + 0*f - 8*f**2 + 0*f**3. What is the second derivative of h(o) wrt o?
14
Let b be ((-12)/54)/((-2)/18). What is the second derivative of -b*z**3 + 8*z - 16*z + 14*z**3 wrt z?
72*z
Find the second derivative of 12*h - 40*h + 2*h**3 - 105*h**2 + 43*h + 119*h wrt h.
12*h - 210
Let d(a) = 130*a**3 - 31*a**2 - 5*a - 487. Let q(v) = 128*v**3 - 37*v**2 - 6*v - 486. Let w(r) = 6*d(r) - 5*q(r). What is the derivative of w(h) wrt h?
420*h**2 - 2*h
Let m(v) be the second derivative of -107*v**6/15 + 43*v**4/2 + 173*v. Find the third derivative of m(l) wrt l.
-5136*l
Let g(v) be the second derivative of -23*v**3/2 - 9*v**2/2 + 33*v. Differentiate g(m) wrt m.
-69
What is the first d | {
"pile_set_name": "DM Mathematics"
} |
1217*f - 3031*f + 494*f.
-1320*f
Collect the terms in 1 + 41*k - 197*k - 25 + 123*k + 39*k.
6*k - 24
Collect the terms in 36320838800*a**2 - 36320838800*a**2 + 5*a**3.
5*a**3
Collect the terms in -2612*l**3 - 2*l - 1 - 3723*l**3 + 4*l + 0*l.
-6335*l**3 + 2*l - 1
Collect the terms in 17567*y**2 - 216 - 8764*y**2 - 8800*y**2.
3*y**2 - 216
Collect the terms in g**2 + 96876835*g - 96876835*g.
g**2
Collect the terms in -260*a - 2*a**2 - 265*a - 271*a + 1055*a - 259*a.
-2*a**2
Collect the terms in -8154*w + 141*w**2 + 2730*w + 2711*w + 2713*w.
141*w**2
Collect the terms in 60064*k**2 + 59920*k**2 - 61*k**3 - 119984*k**2 + 2 - 2.
-61*k**3
Collect the terms in 20323*c**3 - 40482*c**3 + 20328*c**3 + 5*c - 4*c.
169*c**3 + c
Collect the terms in 23 + 85 - 5*i + 34 + i**2 + i**2 + 5*i.
2*i**2 + 142
Collect the terms in 10 - 11 + 6396098*p**3 + 596453*p**3.
6992551*p**3 - 1
Collect the terms in -18*l**2 + 12*l + 2*l - 3 + 19*l + 4.
-18*l**2 + 33*l + 1
Collect the terms in 69*j + 0*j - 233*j**2 - 395*j**2 + 79*j**2.
-549*j**2 + 69*j
Collect the terms in 65708353375*z - 65708353375*z + 144*z**2.
144*z**2
Collect the terms in -1051*u**2 + 276*u**2 + 3666*u - 3666*u.
-775*u**2
Collect the terms in 326*q - 467*q - 185*q + 218*q**2 + 330*q.
218*q**2 + 4*q
Collect the terms in g**3 + 47866114147 - 47866114147.
g**3
Collect the terms in -645 - 683 - 661 + 1989 - 20*z.
-20*z
Collect the terms in 2*i**2 + 252*i - 806*i - 2277*i - 695*i - 4*i**2.
-2*i**2 - 3526*i
Collect the terms in -145014*d + 72633*d + 72383*d + 32*d**3.
32*d**3 + 2*d
Collect the terms in 1 + 525*d - 9990*d**3 - 525*d.
-9990*d**3 + 1
Collect the terms in -2768*q - 2762*q - 2793*q + 11095*q - 2774*q.
-2*q
Collect the terms in -1472108849*h + 2*h**2 + 1472108849*h.
2*h**2
Collect the terms in 95316*s - 93302*s + 1 + 1.
2014*s + 2
Collect the terms in 16 - 404*d - 3 + 10 - 437*d.
-841*d + 23
Collect the terms in 171926*y + 27*y**2 + 172027*y - 343953*y.
27*y**2
Collect the terms in -52*d - 49*d + 46*d + 52*d.
-3*d
Collect the terms in -89 + 87208*m**3 + 89.
87208*m**3
Collect the terms in -27*z + 2*z**2 + 3*z + 503 - z - 5*z**2.
-3*z**2 - 25*z + 503
Collect the terms in -14*j**2 + 9*j**2 - 412 - 210.
-5*j**2 - 622
Collect the terms in 58379*s**3 - 40107*s**3 + 31296*s**3 + 112568*s**3.
162136*s**3
Collect the terms in -789065232*s**2 - 789065222*s**2 + 1578130458*s**2.
4*s**2
Collect the terms in -56*m - 193*m + 4*m**3 + 126*m + 123*m + 17*m**3.
21*m**3
Collect the terms in -90*b + 193070142 + 2*b**2 + 90*b - 93*b**3 - 193070142.
-93*b**3 + 2*b**2
Collect the terms in -6 - 78*m**2 - 1 - 73*m**2 + 25*m**2.
-126*m**2 - 7
Collect the terms in 301131*n + 7344*n**2 - 301131*n - 7320*n**2.
24*n**2
Collect the terms in -6034*z + 2994*z + 3049*z + 1 - 1 + 8 - 6.
9*z + 2
Collect the terms in 7 - 3*m - 191*m**2 - 75 + 111*m**2 + 88*m**2.
8*m**2 - 3*m - 68
Collect the terms in -361*b**2 + 72*b**2 - 410*b**2 - 511*b**2.
-1210*b**2
Collect the terms in -5*g**3 + 5294219 - 5294219 + 79*g - 21*g.
-5*g**3 + 58*g
Collect the terms in 7549*i - 7549*i - 13*i**2 + 133*i**2 + 161*i**2.
281*i**2
Collect the terms in 311 + 5*c - 3*c + 3*c + 3*c - 2*c - 5*c.
c + 311
Collect the terms in -67209*k - 12 - 66202*k + 133410*k.
-k - 12
Collect the terms in 1462*v - 1462*v + 15574 - 15574 - 42*v**3.
-42*v**3
Collect the terms in -4200*h - 3499*h + 7704*h.
5*h
Collect the terms in -1 + 8496110*i - 25488341*i + 1 + 8496113*i + 8496113*i.
-5*i
Collect the terms in -1251*l + 90*l + 519*l + 540*l - 1 - 2 + 3.
-102*l
Collect the terms in c**2 + 16*c**2 + 95235254*c - 95235254*c.
17*c**2
Collect the terms in 15109686*b**2 + 15109684*b**2 - 30219365*b**2.
5*b**2
Collect the terms in 25 - 10 - 66760*o + 66758*o - 19.
-2*o - 4
Collect the terms in -206*p**2 - 7885*p + 16037*p - 8152*p + 790*p**2.
584*p**2
Collect the terms in 29*p + 6*p - 505 + 46 + 29.
35*p - 430
Collect the terms in 2 - 113937*y + 0 - y**2 + 113897*y.
-y**2 - 40*y + 2
Collect the terms in -275*g + 1118*g - 298*g - 292*g - 274*g.
-21*g
Collect the terms in -2616*x**3 + 2*x**2 - 86 - 2768*x**3 + 86.
-5384*x**3 + 2*x**2
Collect the terms in 344*d**2 + 2415*d**3 - 2394*d**3 - 602*d**2 + 351*d**2.
21*d**3 + 93*d**2
Collect the terms in 36*q**3 + 1 + 57*q**3 - 9*q**3 + 44*q**3 - 1.
128*q**3
Collect the terms in 88*u + 16697*u - 729*u.
16056*u
Collect the terms in 91801*n**3 + 91906*n**3 - 183751*n**3.
-44*n**3
Collect the terms in 72*w**2 - 617*w**2 + 1811*w**2 + 2320*w**2 + 259*w**2.
3845*w**2
Collect the terms in -67957 + 246249 + 3*s + 177438 - 55852.
3*s + 299878
Collect the terms in -102*z**3 + 142*z**3 - 121*z**2 - 883*z**3.
-843*z**3 - 121*z**2
Collect the terms in 104*s - 14 - 167*s + 94*s - 22*s**2.
-22*s**2 + 31*s - 14
Collect the terms in -149*w**2 - 533*w**2 - 231*w**2.
-913*w**2
Collect the terms in -139 - 59*j - 42*j + 129*j + 139.
28*j
Collect the terms in 117297*r + 55736*r + 26457*r.
199490*r
Collect the terms in -574*m + 291*m + 281*m + 506*m**3.
506*m**3 - 2*m
Collect the terms in -191923*t**2 - 2 + 383866*t**2 - 191930*t**2.
13*t**2 - 2
Collect the terms in -309*q - 100*q - 3 - 121*q - 1054*q - 375*q.
-1959*q - 3
Collect the terms in -2*u**3 + 4164*u**2 + 4*u**3 + 4424*u**2 + 2*u + u.
2*u**3 + 8588*u**2 + 3*u
Collect the terms in -2*q**3 - 16*q**2 - 989*q + q**3 + 937*q.
-q**3 - 16*q**2 - 52*q
Collect the terms in -76*d + 71*d - 2*d**2 - 281 + 2661.
-2*d**2 - 5*d + 2380
Collect the terms in -12222*h**2 - 12207*h**2 - 11950*h**2 + 36392*h**2.
13*h**2
Collect the terms in 1580*h**3 - h**2 + 44089*h + h**2 - 44089*h.
1580*h**3
Collect the terms in 32898*t - 65718*t + 1 - 1 + 32857*t.
37*t
Collect the terms in -269*m - 35*m - 4*m**3 + 98*m + 97*m + 103*m.
-4*m**3 - 6*m
Collect the terms in 428 + 15322*q**3 - 4338*q**3 - 428.
10984*q**3
Collect the terms in 483230*f**3 + 483222*f**3 + 483216*f**3 - 1932903*f**3 + 483226*f**3.
-9*f**3
Collect the terms in -168 + 73 - 560*n**3 + 95 + 1184*n**3 - 590*n**3.
34*n**3
Collect the terms in 32*d**2 - 707*d**3 + 141*d**3 + 271*d**3 + 286*d**3 - 32*d**2.
-9*d**3
Collect the terms in 3*h**2 + 16*h**2 - 19890*h**3 + 23*h**2 - 42*h**2.
-19890*h**3
Collect the terms in -13799 - 144524*q - 13796 + 27595.
-144524*q
Collect the terms in 1882*a**2 + 22750 - 11379 + 3534*a**2 - 11371.
5416*a**2
Collect the terms in -1504*k + 990*k**2 + 244*k**2 - 167*k**2 + 1504*k.
1067*k**2
Collect the terms in 2754276*r**2 - 5508537*r**2 + 2754302*r**2 - 3*r + 3*r.
41*r**2
Collect the terms in -7*g**2 - 56 + 92*g**2 - 15*g**2.
70*g**2 - 56
Collect the terms in 148 - 50 + 61*s - 49 - 49.
61*s
Collect the terms in 7 + 1277*x**3 - 5 - 1379*x**3 - 2 - 612*x**3.
-714*x**3
Collect the terms in -6*n**2 + 6*n**2 - 239129*n**3 + 238364*n**3.
-765*n**3
Collect the terms in -19289*w**2 - 5490*w**2 - 32471*w**2.
-57250*w**2
Collect the terms in u - u - 79228377041 + 79228377041 - 396*u**2.
-396*u**2
Collect the terms in 0*g**2 + 0*g**2 - 114521*g**3 + 157298*g**3.
42777*g**3
Collect the terms in -21176155*r + 21176155*r - 9*r**2.
-9*r**2
Collect the terms in -6*r**2 - 549769 - 5*r**2 + 549772.
-11*r**2 + 3
Collect the terms in 1623 + 87794*y**2 - 2*y - 1623.
87794*y**2 - 2*y
Collect the terms in 1546 + 653092*h**3 - 1546.
653092*h**3
Collect the terms in 481182*m**2 - 481182*m**2 - 12274*m**3.
-12274*m**3
Collect the terms in 1094*h**3 - 530*h**3 - 639*h**3.
-75*h**3
Collect the terms in -217951*s - 239330*s + 36886*s.
-420395*s
Collect the terms in -24*j + 230*j + 208*j - 6 + 1027*j + 4.
1441*j - 2
Collect the terms in 4*a - 8*a - 13*a - a + 10913.
-18*a + 10913
Collect the terms in 524*j**2 - 1090*j**2 + 473*j**2.
-93*j**2
Collect the terms in 20*f - 6*f + 0*f - 720 - 5*f - 2*f - 8*f.
-f - 720
Collect the terms in -83238001*y + 2*y**3 + 83238001*y.
2*y**3
Collect the terms in -3297*h**2 + 5194*h**2 - 1899*h**2.
-2*h**2
Collect the terms in -2*r**2 - 381 + 386 + 2*r**3 + 2*r**2 + 840*r.
2*r**3 + 840*r + 5
Collect the terms in -236062592354 + 8*g**2 + 236062592354.
8*g**2
Collect the terms in -2228*g + 419*g**3 - 346*g**3 - 1693*g.
73*g**3 - 3921*g
Collect the terms in 48 + 32*t + 20*t - 112*t + 36*t.
-24*t + 48
Collect the terms in 2549*i**2 + 118*i**2 + 58046*i**2 + 4681*i**2.
65394*i**2
Collect the terms in 673*l - 236141939 + 236141939.
673*l
Collec | {
"pile_set_name": "DM Mathematics"
} |
uppose k*g = -19 + 57. What is the remainder when g is divided by w?
3
Let n = -4726 + 4903. Calculate the remainder when 887 is divided by n.
2
Suppose 49*j + 23*j + 49*j = 8349. What is the remainder when j is divided by 40?
29
Let i = 6 - -1. Suppose 3*r = 2*n + 2, 3*n - 5*r - 2 = -8. What is the remainder when (-1 + 357)*(i - 54/n) is divided by 23?
20
Let s(q) = -12*q + 15. Suppose r = -2 + 11. What is the remainder when s(-6) is divided by (108/20)/(r/30)?
15
Let r = -23246 + 23414. Calculate the remainder when 375 is divided by r.
39
Let p(m) be the third derivative of m**5/60 - m**4/6 - 5*m**3/3 - 2*m**2. Let j(k) = -816*k + 22908. Calculate the remainder when j(28) is divided by p(8).
16
Suppose -77*v + 9*v = -24140. What is the remainder when v is divided by 82?
27
Let h be 8/5*(-50)/(-20). Suppose -4*b + 59 = -o, 4*b - o - h*o = 71. Suppose 9*l - b*l + 230 = 0. Calculate the remainder when l is divided by 25.
21
Let w = -116871 - -116887. Suppose -2*c + 0*z + 31 = -z, -c + 23 = -3*z. What is the remainder when w is divided by c?
2
Let h(z) = -z**3 - 4*z**2 - 10*z - 14. Let p = -824 - -858. What is the remainder when h(-6) is divided by p?
16
Suppose 3*x - n - 64 = 0, 6*x = 8*x - 3*n - 31. Suppose -x*w = -567 + 222. What is the remainder when 192 is divided by w?
12
Let a(u) = 5*u**2 + 2*u - 7. Let b(p) = 173*p**2 - 60*p + 59. What is the remainder when b(1) is divided by a(3)?
40
Let y be 472/2 + 1 + 5. Suppose 25*j = 36*j - y. What is the remainder when j is divided by 5?
2
Let q be (54 - 1) + -1*4. Suppose 80 = 3*o - q. Let b(i) = i**2 - 2*i + 3. Calculate the remainder when o is divided by b(4).
10
Let q = -58 - -128. Calculate the remainder when q is divided by ((-4572)/635)/(9/(-10)).
6
Let w = 666 + 1283. What is the remainder when w is divided by 2?
1
Let u = -64 - -50. Calculate the remainder when (-6)/u - 12826/(-77) is divided by 13.
11
Let f = -34 - -40. Suppose f*q = -0*q + 24. Suppose -q*g + 222 = -166. Calculate the remainder when g is divided by 10.
7
Let f = -9 - -14. Suppose -4*a - f + 25 = 0, -3*m + 5 = a. Suppose 5*s = -q + 19, -s + 2*s = m. Calculate the remainder when 56 is divided by q.
18
Let d = 90 - -25. Let o = d + -322. Let t = -111 - o. What is the remainder when t is divided by 33?
30
Let g(x) = x**2 + 4*x + 3. Let q = 14 + -12. Suppose 3*p - 4*n = 185, -p + q*n = 4*n - 45. What is the remainder when p is divided by g(-6)?
10
Let f = 11523 + 6924. Calculate the remainder when f is divided by 18.
15
Let r be 1*((-14)/2 - 1). Let l(y) = 3*y**2 + 7358*y - 36827. What is the remainder when 94/r*2*-8 is divided by l(5)?
36
Let b(k) = 12*k**3 - 95*k**2 + 614*k - 5. What is the remainder when b(7) is divided by 13?
10
Let b be (122/(-8))/((-1)/(-12)). Let a = 556 + b. Calculate the remainder when a is divided by 25.
23
Let v = 211 - 209. Suppose -v*b - 5*f = -69, -f - 157 = -5*b + 2*f. Calculate the remainder when 125 is divided by b.
29
Let q = -1971 + 2257. Calculate the remainder when q is divided by 51.
31
Let h(u) be the second derivative of -u**5/10 - 5*u**4/12 + u**3/2 + u**2 + 7*u. Suppose 89 - 1 = -22*p. What is the remainder when h(p) is divided by 8?
6
Suppose 27*u + 483 = 6*u. What is the remainder when (-28 - u)*112/(-10) is divided by 16?
8
Let a be (1 - -3)*20/(-80)*1. What is the remainder when a/4*(-3776)/16 is divided by 32?
27
Suppose 4975*l - 4949*l - 320 = 226. Let p = 342 - 30. Calculate the remainder when p is divided by l.
18
Let d(a) = a**3 - 16*a**2 + a - 9. Let o = -40 - -1. Let v = o + 55. What is the remainder when 7 is divided by d(v)?
0
Suppose -3 + 28 = 5*n, -3*j - 4*n = -1445. Calculate the remainder when j is divided by 141.
52
Suppose 79 = 3*h - 10*b + 6*b, -h + 2*b = -27. Let c = 59 + 16. Let n = c + -28. Calculate the remainder when n is divided by h.
22
Let o(x) = -x**2 - 18*x - 24. Let s = 143 + -114. Suppose -28*h + s*h = 37. Calculate the remainder when h is divided by o(-16).
5
Suppose 2*a + 5*h = a + 77, 0 = h + 5. Suppose -2*u + 0 - a = 0. Let t = u - -62. What is the remainder when 42 is divided by t?
9
Suppose 0 = -5*a - 3*t - 20, 3*t = -6 - 9. What is the remainder when (a + 1 - -4) + -2 + 93 is divided by 35?
25
Suppose -114 = -0*k - k. Let d = 464285 + -464227. Calculate the remainder when k is divided by d.
56
Calculate the remainder when (-2)/((-35)/(-392)*1*3/(-30)) is divided by 77.
70
Let m be 1*0/(-6)*1. Suppose m = -42*f + 32*f + 140. What is the remainder when 23 is divided by f?
9
Suppose -53*k + 47*k + 168 = 0. Suppose -3*y = -7*y + 20. Suppose 3*q + q - 219 = y*f, q = -5*f + 36. What is the remainder when q is divided by k?
23
Suppose -5*y + v = 26, 2*y + 5*v + 50 = -3*y. Let k = y + 30. What is the remainder when 87 is divided by k?
15
Suppose 2*x + 3*i = 1457, 0 = -298*x + 300*x - 4*i - 1436. What is the remainder when x is divided by 66?
64
Suppose -b - 43 + 56 = 0. Calculate the remainder when b is divided by 12/9 - (-345)/45.
4
Let s(u) = -13*u + 3. Let d be ((-2)/4)/(9/(-18)). Suppose -a + 0 = d. What is the remainder when 46 is divided by s(a)?
14
Suppose 113*k - 7765 = 108*k. Calculate the remainder when k is divided by 74.
73
Let y(v) = 15*v + 4. Let a be 0/1 + (-1 - -2). Calculate the remainder when 170 is divided by y(a).
18
Let w(i) = i**3 - 16*i**2 + 69*i + 60. Calculate the remainder when 836 is divided by w(11).
194
Suppose -136 = 3*g + 305. Let v = g - -206. What is the remainder when v is divided by 12?
11
Suppose -6*s = 4*s - 1220. What is the remainder when 618 is divided by s?
8
Suppose -4*h = -5*h + 131. What is the remainder when h is divided by (-14732)/(-435) - 2/(-15)?
29
Let h = -133 - -46. Let o = 114 + h. Suppose -g + o = -3. Calculate the remainder when g is divided by 4.
2
Suppose -3*u = 3*n + 2*n - 188, -4*u - 176 = -4*n. Suppose -3*c = -501 + 153. Calculate the remainder when c is divided by n.
36
Suppose 2*v - 3*v = 5*z - 15, 5*v - 17 = 4*z. Suppose z*c + 282 = 4*c. Calculate the remainder when c is divided by (8/(-40))/((-1)/71) + 6/(-5).
11
Let x be -416 + (-3)/(-6)*24/4. Let u = -294 - x. What is the remainder when 157 is divided by 13/39 + u/3?
37
Let l(d) = -d**3 + 46*d**2 + 58*d + 174. Let s be l(47). Let c = s + -658. What is the remainder when 129 is divided by c?
30
Suppose 158*l = -113*l + 31*l + 2400. What is the remainder when 59 is divided by l?
9
Let f(x) = -7*x**2 + 44*x - 48. Let h(c) = -10*c**2 + 66*c - 72. Let w(a) = 7*f(a) - 5*h(a). What is the remainder when 70 is divided by w(22)?
22
Let k(p) = -p**3 - 8*p**2 + 39*p + 93. What is the remainder when 832 is divided by k(-11)?
22
Let p(c) = c**3 + 4*c**2 - 22*c + 3. Let x be p(-7). Let d(f) = 73*f - 403. What is the remainder when d(x) is divided by 47?
45
Let m(w) = -2*w**3 - 73*w**2 + 34*w - 81. Calculate the remainder when 582 is divided by m(-37).
12
Let f = 154 - 296. Let k = f - -226. Suppose -6*r = -k - 294. What is the remainder when r is divided by 22?
19
Let y(t) = 4*t**2 - 3*t + 3. Suppose 0 = 4*h - 3*z - 12, -3*z - 12 = -4*h - 4*z. What is the remainder when y(h) is divided by 28?
2
Let w be 359 + -10 + 4 + 4. Suppose -27*v = -w - 264. What is the remainder when 205 is divided by v?
21
Let x(t) = -3*t**2 + 36*t - 27. Let y be x(11). Calculate the remainder when -293*(-9)/36 + y/8 is divided by 6.
2
Let c be 55/15 - (-2)/6. Suppose c*z + 2*q - 1 = 7, 4*z - 32 = 4*q. Calculate the remainder when 61 is divided by z.
1
Let k = -297 - -563. Suppose 21*a - k = 322. Calculate the remainder when a is divided by 11.
6
Let u(z) = 10*z**2 - 22*z + 225. Calculate the remainder when u(-13) is divided by 79.
68
Let k(u) = -46*u**2 - 594*u + 60. Let f(d) = 44*d + 2. Let c be f(2). Let i = c - 45. Calculate the remainder when i is divided by k(-13).
5
Let v(q) = 153 - 4 + 34 + 140 + 13*q. What is the remainder when 22 is divided by v(-24)?
0
Let b(c) = 4*c + 21*c - 4*c. Suppose x - 7 = -26*a + 30*a, 8*a + 36 = 4*x. What is the remainder when b(1) is divided by x?
10
Let v = -30254 + 49887. What is the remainder when v is divided by 231?
229
Let a = -4850 + 4940. Calculate the remainder when 178 is divided by a.
88
Let q be (-6 - -1)/((-13)/26). Suppose k - 121 = -q*k. What is the remainder when 85 is divided by k?
8
Let g(c) = 13 - 884*c - c**2 + 867* | {
"pile_set_name": "DM Mathematics"
} |
= 3. Solve 0 = 3*z + b - 11 for z.
3
Let i(l) = -l**2 + 11*l. Let o(b) = -2*b**2 + 21*b. Let x(m) = 11*i(m) - 6*o(m). Let h be x(4). Let y be 3 + (-2)/h*0. Solve 3 = y*s - 12 for s.
5
Let z be 14/3 - 4/(-12). Let a(g) = -g**3 + 5*g**2 + 5*g + 1. Let r be a(z). Suppose 0 = -5*b - 2*p - p + r, 5*b = -2*p + 24. Solve -8 + 24 = -b*s for s.
-4
Let w(r) be the third derivative of 11*r**7/2520 - r**6/720 - r**4/12 + r**2. Let s(b) be the second derivative of w(b). Let c be s(1). Solve -g = g + c for g.
-5
Let h(w) = -w**3 + 9*w**2 + w - 18. Let g(v) = 3*v**3 - 28*v**2 - 3*v + 53. Let u(s) = 4*g(s) + 11*h(s). Let i be u(13). Solve -3*n - 10 + i = 0 for n.
-3
Let c(f) = -f + 11. Let l be c(6). Suppose 0*g + 20 = l*g. Solve 7 = g*q - 9 for q.
4
Suppose 2*s = 2, -5*s + s = -3*f + 47. Suppose f - 5 = 4*t. Solve -15 = t*w + 2*w for w.
-3
Let s(q) = q**2 + 5*q. Let u be s(-5). Suppose u = -2*k - 2*k + 48. Let t(n) = -n + 13. Let r be t(7). Solve 0 = -r*i + 3*i + k for i.
4
Suppose 6 = -0*o + 2*o. Solve 2 = o*a - a for a.
1
Let d = 11 - 7. Solve -2 = d*s + 2 for s.
-1
Suppose 30 = -9*k + 4*k + 3*w, 3*w = -4*k + 3. Let v be (-8)/(-12) - (-11)/k. Let z be (-49)/v + 10/(-30). Solve 7*j = 3*j + z for j.
4
Let m(c) be the second derivative of -c**4/12 + c**2 - c. Let b be m(0). Let l = -9 - -14. Solve -b*v + l = -1 for v.
3
Suppose -2*k = -6*k - 4, 4*k + 4 = -3*m. Let i be -2*5*(-32)/40. Solve m*a + 2*a - i = 0 for a.
4
Let a(v) = v + 1. Let l be a(1). Let x = l - -1. Solve -2*c - 1 = x for c.
-2
Let c be (-51)/6 + 1/(-2). Let n(y) = -y**2 - 9*y - 1. Let o be n(c). Let g(r) = -7*r - 1. Let p be g(o). Solve 0 = p*a - a + 15 for a.
-3
Let g(m) = 2*m**2. Let f be g(2). Solve 0 = -0*d + 2*d + f for d.
-4
Suppose 0*h - b = h + 2, 0 = 2*b. Let a be h + (-4)/3*3. Let p = a + 11. Solve -1 + p = -2*t for t.
-2
Let f be (8/40)/((-2)/(-10)). Let i be (12/(-14))/((-6)/42). Solve -i + f = -h for h.
5
Suppose 5*c + h + 15 = -2*h, 0 = 5*c + 2*h + 10. Suppose o + 3 - 12 = 0. Solve c = 4*r - o*r + 15 for r.
3
Let d(h) = h**3 + 4*h**2 + h + 4. Let a be d(-4). Solve 5*r + a*r = -15 for r.
-3
Let p(l) = -l**2 - 13*l - 1. Let n be p(-13). Suppose 2*z - 8 = -v - 3, 3*z = 2*v + 11. Let k = n + z. Solve k*r - 15 = -3*r for r.
3
Let a(z) = -3*z - 2. Let g(o) = o + 1. Let f(p) = a(p) + 2*g(p). Let k be f(-2). Solve -k*h + 2 = 8 for h.
-3
Suppose -6 = -3*x + 2*x. Suppose 0 = 5*p - x - 9. Solve -2*b + b + p = 0 for b.
3
Let q(t) be the first derivative of -t**3/3 - 5*t**2/2 + 8*t - 1. Let v be q(-7). Let i be 8/3 - 2/v. Solve 3 = 3*l - i for l.
2
Suppose 3*t - 7*t = 0. Solve t = 4*o - 0*o - 12 for o.
3
Let w(k) be the first derivative of -k**4/4 - k**3/3 + 5*k**2/2 + 3*k + 2. Let o be w(-3). Solve j - o*j = 15 for j.
-3
Let y(q) = -6*q - 114. Let n be y(-22). Solve -n = -5*v + 7 for v.
5
Let z be 2/(-4)*(0 - 4). Let a = -2 + 2. Let t(f) = -f**2 + f + 8. Let h be t(a). Solve 3*p + z - h = 0 for p.
2
Let i(j) = 3*j + 4 - 3 + 4*j - j**2. Let z be i(6). Let m = z + -4. Solve u - 4 = -m for u.
1
Let g be (-380)/30 - 2/6. Let q be (-4)/(-26) - (-2)/g. Solve 3*k - 8*k + 15 = q for k.
3
Let b(s) = -3 + 4*s + s**2 + 5 + s**2. Let p be b(-3). Solve -3*t = -p - 4 for t.
4
Let v(k) = 9*k - 1. Let n be v(1). Solve x - 3*x = -n for x.
4
Let l(j) = j**3 + 7*j**2 + 9*j + 8. Let m be l(-6). Let u = m - -16. Let z be u/(-9) - 34/(-6). Solve 2*w = z*w + 6 for w.
-2
Suppose -10*m + 100 = -5*m. Solve 3*y - 8 = -m for y.
-4
Let d(t) = -t**3 - t**2 + 2*t + 3. Let c be d(-2). Let q(m) = -m**2 - 3*m. Suppose 2*u + 3 = s, 1 + 2 = -s. Let p be q(u). Solve -c*z - z = p for z.
0
Suppose 11*l - 6*l = 110. Solve 0 = -6*a - l - 8 for a.
-5
Suppose 9 = t + 2*t. Suppose -t*r - 2*f = -f + 2, -5*f - 10 = 5*r. Let c be (0 + r)/(9 + -8). Solve -u = -2 - c for u.
2
Suppose -4*g = -3 - 1. Let b(i) = -i - 2. Let c be b(-2). Let t be (1 + c)/(4/12). Solve t*d + g = -5 for d.
-2
Let o be 1 + 9/7 - (-2)/(-7). Solve 0 = o*n - 1 + 11 for n.
-5
Let v(d) = d**2 - 2*d - 2. Let b be v(4). Solve 2*m - b = -4 for m.
1
Suppose 42 = 2*q + f, 0*f + 2 = f. Suppose 2*r + q = 7*r. Solve 4*b + r = -0 for b.
-1
Suppose -10*x = -6*x - 28. Solve 0 = -3*y + x*y for y.
0
Let n = 13 - 13. Solve n = 2*z - z + 5 for z.
-5
Suppose -4*n + 1 + 3 = -m, 5*n - 5 = 2*m. Let u(w) = 5*w**2 + w. Let l be u(n). Solve -a = a + l for a.
-3
Let k = 1 - -3. Let b(u) = u + 1. Let h be b(1). Suppose h*g - g - k = 0. Solve -4*p - g = -2*p for p.
-2
Suppose -w + 0*w - 3 = -2*j, -31 = -3*w - 4*j. Solve -f - 4 = -w for f.
1
Let l = -46 - -46. Solve l = 4*u + u - 25 for u.
5
Let p(h) = -h**3 - 7*h**2 + h + 13. Let t be p(-7). Solve o - t = -7 for o.
-1
Let q = -17 - -2. Let j = -11 - q. Solve -j = -2*t - 0 for t.
2
Let z be 15/6 - (-3)/(-2). Let i be (-1)/((-1)/(4 - 3)). Let a be 3 + (z/i - -3). Solve a*x - 10 = 2*x for x.
2
Let j = 7 + 5. Let b be (-10)/(-1)*(-3)/(-6). Solve b*w = w - j for w.
-3
Let b = -18 - -24. Solve 0 = -3*h - b + 15 for h.
3
Let g(w) = 2*w**2 + 7*w - 10. Let d be g(-5). Suppose -3*s + 4*s + 14 = -4*o, -2*s = -o - 8. Let r be (-4)/(-6)*33/s. Solve -d*n - 9 = r for n.
-4
Let x = -295 + 298. Let w = -2 + 7. Solve x*z + 4 = w*z for z.
2
Let o be (30/(-8))/(3/8). Let u = -4 - o. Solve 0 = -2*m + u*m - 16 for m.
4
Suppose -33 = -3*i - 57. Let j(x) = -x**2 - 5*x + 4. Let m(t) = t - 1. Let u(p) = -j(p) + 2*m(p). Let y be u(i). Solve -y*g = -g for g.
0
Suppose 0 = 4*o - 0*o - 28. Let k(h) = 11*h**2 + h - 2. Let b be k(1). Let v = b - o. Solve -4 = -d - v for d.
1
Let f = -66 + 68. Solve 0 = -f*n - 1 + 7 for n.
3
Let s be (-46)/(-14) - 4/14. Suppose -16 = -2*y + 4*o - 0, 3*y + o = 3. Let z(m) = m**3 - m**2 - m. Let j be z(y). Solve -s = 3*g - j*g for g.
-3
Let y(a) = -2*a**3 + 2*a**2 - 1. Let j be y(-1). Let d(v) = 5*v**2 + 4*v**j + 2*v**2 - 3*v**3. Let f be d(-7). Solve f*t - 5*t = 15 for t.
-3
Let z(t) = 9*t - 6*t**2 - 5*t + 3*t + 2. Let f(i) = 5*i**2 - 6*i - 2. Let u(k) = 5*f(k) + 4*z(k). Let g be u(4). Solve 0 = -v - v - g for v.
-3
Suppose -3*h + 8 = 2. Solve n + 15 = -h*n for n.
-5
Let b(q) = q**3 + 4*q**2 - 5. Let z be b(-4). Let u be 6/5*z/(-2). Solve -1 = -t - u for t.
-2
Let v = 0 + 4. Suppose -v*i = i - 10. Solve i + 0 = 2*w for w.
1
Let c be (12 + -12)*(-1)/2. Solve c = -8*j + 4*j + 20 for j.
5
Suppose -61*w - 63 = -68*w. Solve 2*l + 1 = w for l.
4
Suppose -5*g + 2*l = -0*g - 97, 0 = -2*g + 2*l + 34. Let v = g - 10. Solve 5*t - v - 4 = 0 for t.
3
Let i(r) = 17 + 0*r - r + 0*r. Let v be i(0). Solve 0 = 2*g + 7 - v for g.
5
Let y(h) = -h**3 - h**2 - 5*h - 6. Let f(o) = -o**3 - 2*o**2 - 6*o - 7. Let w(j) = -4*f(j) + 5*y(j). Let q be w(2). Solve 3*x + 2*x = q for x.
0
Suppose 0*s = -4*s, 0 = 3*l + 4*s - 6. Solve -6 = -l*q - 0*q for q.
3
Let q(t) be the second derivative of t**5/20 + t**4/3 - t**3/2 - 3*t**2/2 + 8*t. Let m be q(-4). Solve -o + m = 2*o for o.
3
Suppose -2*b = 2*b - 6*b. Solve b = -4*a + 4 - 24 for a.
-5
Let c = 16 - 11. Suppose -s = s + c*v + 17, -s - v = 1. Let k = s - 3. Solve 5*o + 19 + k = 0 for o.
-4
Suppose -a - a - 4 = -3*t, 2*t - 9 = -5*a. Solve -t*l = l for l.
0
Let p(i) = i**3 + 5*i**2 - 4*i - 4. Let z be p(-5). Suppose -z = -0*q - 4*q. Solve 3*c - q + 1 = 0 for c.
1
Let u = 55 + -43. Solve -7*l + 3*l = -u for l.
3
Let x(g) be the first derivative of -g**4/4 + 4*g**3/3 + g**2 - 4*g - 2. Let b be x(3). Suppose 5 + b = 4*c. Solve -c = -t + 3*t for t.
-2
Suppose -j - 11 = 29. Let p = j - -48. Let w = 0 - 0. Solve 2*m - p = -w*m for m.
4
Let n(b) be the first derivative of b**3/3 - 6*b**2 - 3. Let i be n(12). Solve y + 4 - 1 = i for y.
-3
Suppose 5*b = 7*b - 8. Let z be b*1/6*3. Let o(w) = w + 5. Let g be o(-5). Solve g = 3*f - 5*f - z for f.
-1
Let p = 43 + -38. Solve l = p*l - 4 for l.
1
Suppose 4*r - 11 = 3*t, 2*r - r + 1 = -3*t. Solve -z + r*z - 2 = 0 for z.
2
Let w = -4 - -22. Let x be ((-6)/(-2))/(w/30). Solve 0 = 2*i + 1 - x for i.
2
Let f(r) = r**2 - r + 2. Let v be f(0). Suppose 3*n - v*n - 11 = 0. Solve 0 = -5*y - 4 - n for y.
-3
Suppose 3*z - 18 = -3*l, -z - 23 = -4*l - 4*z. Solve -l*q + 2*q - 6 = 0 for q.
-2
Suppose -r = -0*r - 3. Let d be 5*1*14/(-35). Let x be 1 + 1 + 0 + d. Solve x = 2*o - r + 9 for o.
-3
Let r = 26 - 22. Solve -2*d + r = -6 for d.
5
Let y(b) = 1. Let o(c) = c**3 - 8*c**2 - 10*c + 6. Let g(h) = -o(h | {
"pile_set_name": "DM Mathematics"
} |
ch is greater: -1 or -3209/22809?
-3209/22809
Which is smaller: 2 or -707/157?
-707/157
Is 704.9 at least 11425?
False
Is -48577/12414 smaller than -4?
False
Is -87641 >= -87903?
True
Is 13752/419 at least as big as -17/2?
True
Is 3808.601 smaller than 0.182?
False
Is -1579450 greater than or equal to -1579450?
True
Is 269950 smaller than 270155?
True
Is 17594058 equal to 17594058?
True
Which is bigger: -0.1 or 296991?
296991
Which is smaller: 658 or 89.726?
89.726
Which is greater: 15781368 or 15781367?
15781368
Which is smaller: 183322249 or 183322250?
183322249
Is 49187 bigger than -135?
True
Which is greater: -64263652 or -64263655?
-64263652
Is 468/961555 <= 1?
True
Is 950608 equal to 12357918/13?
False
Is -3491602 not equal to -3491789?
True
Is -195380 not equal to 685?
True
Is 349611 bigger than 349427?
True
Is -7.98 != -70076?
True
Which is greater: 0.919 or 833087?
833087
Which is smaller: 959289 or 959296?
959289
Are 0 and 29/149149 non-equal?
True
Which is smaller: -1/338 or 1332?
-1/338
Which is bigger: 1677316 or 28?
1677316
Which is smaller: 12710 or 14786?
12710
Is 151176 bigger than 451?
True
Which is smaller: 4152849 or 29069952/7?
4152849
Which is greater: 1 or -136/50143347?
1
Is 427272 < 427274?
True
Is 2385370 equal to 2385354?
False
Which is greater: 3207107 or 3207078?
3207107
Which is smaller: -7708 or -736?
-7708
Which is smaller: 1135/572719 or 0?
0
Is -228978831 != -228978835?
True
Which is bigger: 254442 or 254604?
254604
Which is greater: 3/8 or 12642429?
12642429
Is -1912116.6 < -7?
True
Which is smaller: -1 or 4/737977?
-1
Which is bigger: -478053 or -475743?
-475743
Is -22.1 less than 4645?
True
Which is smaller: -0.07 or 30550.15?
-0.07
Is -2546179 <= -2546178?
True
Is 5.9 greater than 34476?
False
Does -15925842 = 1/4?
False
Which is smaller: -0.238414 or -2.29?
-2.29
Which is greater: -1.9 or -3/28573747?
-3/28573747
Which is bigger: -18613 or -19209?
-18613
Is -92 less than or equal to 4/1291?
True
Which is bigger: -4/41545565 or 0?
0
Is 0.138422 > -200?
True
Are -444095 and -18207890/41 unequal?
True
Which is smaller: 347731172 or 347731173?
347731172
Are -214294299 and -214294297 equal?
False
Which is bigger: 1 or 103/1930761?
1
Are 123596 and 123743 equal?
False
Is -141 less than or equal to -248602/1745?
False
Which is greater: -2/19302367 or -1?
-2/19302367
Which is smaller: -774285 or -774303?
-774303
Which is smaller: -5051316/1009 or -5006?
-5051316/1009
Is -0.1 > -9937846?
True
Which is bigger: 100069/17 or 5885?
100069/17
Which is smaller: -50677 or -50690?
-50690
Is -31065486 at most -31065486?
True
Which is smaller: -4 or -287781?
-287781
Is -383888 not equal to -383822?
True
Is -45705326 less than or equal to -45705331?
False
Which is greater: -20413 or -1765?
-1765
Is -16970687 not equal to 24?
True
Which is smaller: -253014 or -253041?
-253041
Which is smaller: 0 or -1985/14444?
-1985/14444
Which is greater: -4860546 or -4860545?
-4860545
Which is bigger: -1861451 or -1861447?
-1861447
Which is bigger: -5177657 or 2.5?
2.5
Is 68207333 at least 68207331?
True
Which is smaller: -2 or -41708/29709?
-2
Is -2 at most 25753887?
True
Is 280396/2579 less than or equal to 109?
True
Are -1930/795957 and -1 equal?
False
Are -1659 and 15539 equal?
False
Which is smaller: -109784 or -109886?
-109886
Which is smaller: -41452181 or -41452179?
-41452181
Is 1135 > 179269/158?
True
Are -10604/1007 and 1 equal?
False
Which is smaller: 47377289 or 47377288?
47377288
Is 165566205 at most as big as 165566207?
True
Is -2005260/23 less than -87186?
False
Which is bigger: -8532756 or -8532754?
-8532754
Which is bigger: -1665890 or -1665695?
-1665695
Is 3625/263 >= -0.1?
True
Which is greater: -966 or 1/2395481?
1/2395481
Which is bigger: 1 or 43/19547963?
1
Which is smaller: 2 or -11277722?
-11277722
Is 2662486 greater than or equal to 2662334?
True
Is 0 <= 2/147102553?
True
Is -1 greater than -12878/6595?
True
Which is greater: 1150752 or 4/5?
1150752
Is -16226606 less than or equal to -16226539?
True
Which is bigger: 2/347 or -25799?
2/347
Is -37266 > -36202?
False
Which is bigger: 205011 or 204883?
205011
Is -310890/1517 < 2?
True
Is 1417595 bigger than 1417596?
False
Is 14008517 != 14008514?
True
Which is smaller: -16734601/4 or -4183650?
-16734601/4
Is 1 > 2581/193064?
True
Which is greater: 67264738 or 67264732?
67264738
Which is smaller: -126118 or -126043?
-126118
Which is greater: 1 or -8/448305?
1
Which is greater: -19 or -23216/1253?
-23216/1253
Is 1/4 < -98506?
False
Is -766038/1229 >= -623?
False
Which is greater: -314 or -5416.44?
-314
Which is smaller: 1 or 46/161397?
46/161397
Is -2785894 at least -2785890?
False
Do 145024 and -19 have the same value?
False
Which is smaller: -1/21851 or 35?
-1/21851
Is 0.1 bigger than 149526658?
False
Which is greater: 317118 or 317329?
317329
Is -1135.4 equal to 0.2285?
False
Which is smaller: -5241 or -1609063/307?
-1609063/307
Which is bigger: -15895 or -15515?
-15515
Is -2903 greater than or equal to -194863?
True
Which is smaller: -2749 or -22.5325?
-2749
Do -75897824 and -75897826 have the same value?
False
Is 171303 greater than -770?
True
Is -1 less than or equal to -17/4001659?
True
Is 72886757 equal to -2/5?
False
Are 200 and -637415 nonequal?
True
Which is greater: -917 or -16330?
-917
Which is bigger: -11307 or 5/281?
5/281
Is -1/350 < 273/440?
True
Are 1296065 and 1296074 nonequal?
True
Which is bigger: 1 or 1/10439742?
1
Which is bigger: -9414 or -9654?
-9414
Are 10309 and 22489 unequal?
True
Which is smaller: -1369776 or -1369790?
-1369790
Which is greater: -38/619 or -8.008?
-38/619
Which is bigger: -1 or 2/602567995?
2/602567995
Is -34959493 < -34959507?
False
Are -29860 and -24788 non-equal?
True
Is -2.1 > 2194157?
False
Which is smaller: 306226 or 306183?
306183
Which is smaller: -46328 or -48165?
-48165
Which is greater: 1 or 533/184994?
1
Which is bigger: 500 or -27?
500
Which is bigger: 1 or -326/20737?
1
Which is bigger: -270533 or -270530?
-270530
Is 494.2 less than 1325.6?
True
Is -21421080 less than 2/3?
True
Is -328/53869 equal to -1?
False
Which is smaller: 217/31139 or -1?
-1
Is 13454405 at most 13454405?
True
Is -99521 < 0.079?
True
Is 730741 less than 8038159/11?
True
Which is bigger: -12/3650489 or -1?
-12/3650489
Which is greater: -23038937 or -23038985?
-23038937
Is -0.049 bigger than 13/3230?
False
Is -8984738 < -8984738?
False
Is -13703 <= -12708?
True
Which is smaller: -365069 or -327?
-365069
Are 282966015 and 282966015 nonequal?
False
Which is bigger: 4/21 or -469.84?
4/21
Which is smaller: -2998 or 0.05725?
-2998
Is 8968039 bigger than 8968040?
False
Is -516 bigger than -1838/67?
False
Does 1756948 = 1756948?
True
Which is bigger: 2340008 or 2340079?
2340079
Are -0.1 and -0.030783807 nonequal?
True
Is -4732856 > -4732885?
True
Which is smaller: -2983369 or -2983370?
-2983370
Which is bigger: -710146 or -711476?
-710146
Which is smaller: -8811 or 14964?
-8811
Which is bigger: 17760947 or 17760944?
17760947
Is -179828 < -2552?
True
Is 1 not equal to 1594/1330593?
True
Is -10/51787 < -1?
False
Is -5061252 at least -5061259?
True
Which is smaller: -40962 or -43577?
-43577
Which is greater: -2/39 or -1529905?
-2/39
Is 9623 not equal to 9638?
True
Is -1 at least -16/121263657?
False
Are -1 and 131/326600 non-equal?
True
Is -6081240 greater than -6081236?
False
Which is smaller: -61647 or -61502?
-61647
Is -3226702 at most -8?
True
Which is greater: 2 or 825155?
825155
Is 7/259506589 bigger than 0?
True
Which is smaller: -235741989 or 1/4?
-235741989
Which is smaller: 126401 or -166?
-166
Is 0.20369 < -1293?
False
Is -9844 > 3070?
False
Is -32980935 >= -32980936?
True
Which is smaller: 142184 or -123?
-123
Which is bigger: 1 or -2/4325659?
1
Which is bigger: -2/7 or 32801?
32801
Which is bigger: 21919987 or 21919988?
21919988
Which is smaller: 2/6775641 or 1?
2/6775641
Is 42211620 at most as big as 42211617?
False
Is 3 less than 14921/4030?
True
Is 47 equal to -236324?
False
Which is greater: -487307 or 11?
11
Is -2/2579 >= -45/4?
True
Which is smaller: -106106 or -104718?
-106106
Is -98110 greater than -98084?
False
Which is bigger: -9163/1731 or -4?
-4
Which is greater: 125863129 or 125863131?
125863131
Is 167268 greater than 168 | {
"pile_set_name": "DM Mathematics"
} |
. Let n = 55 - v. Solve h - n*h = 5 for h.
-5
Let u(d) be the third derivative of d**6/120 + 13*d**5/60 + 13*d**4/24 + 5*d**3/2 + 18*d**2. Let r be u(-12). Solve -b = -r*b - 10 for b.
-5
Let y be (204/(-476))/((-2)/14). Solve 4*g = -y*g - 14 for g.
-2
Let p(r) = r + 1. Let u be p(-1). Let o(y) = -y + 30. Let v be o(u). Suppose -7*l + v = -5*l. Solve 0 = z + 2*z + l for z.
-5
Suppose -2 = -2*n - 4*g, g + 12 = 2*n - 0*g. Suppose -n - 11 = -8*p. Solve 0 = -p*h + 6*h + 16 for h.
-4
Suppose -3*u + 14 = -2*u + 2*o, 27 = 2*u + 5*o. Solve u + 8 = 6*w for w.
4
Suppose -12 = -c - 5*c. Suppose -c*j - q = -4, 0 = 4*q - q. Solve -j*k + 5 = -3*k for k.
-5
Let b be (9/(-5))/((-3)/10). Let w be 104/28 - b/(-21). Suppose -w*i = i. Solve -l - 1 + 3 = i for l.
2
Let r(m) = m**3 - 4*m**2 + 4*m - 7. Let o be r(4). Solve 7*x = 10*x - o for x.
3
Let k(i) = -i + 29. Let g be k(0). Let y be ((-22)/8)/((-1)/(-4)). Let p = -7 - y. Solve 0 = -5*c + g - p for c.
5
Suppose 14 = 282*w - 275*w. Solve -j - 9 = w*j for j.
-3
Suppose 4*o = -g + 575 + 88, -o + 3*g = -182. Solve o*y - 174*y = -7 for y.
1
Suppose -6 = -2*l + 4. Let j(x) = -x - 1. Let r(g) = 2*g + 13. Let s(d) = 3*j(d) + r(d). Let b be s(l). Solve 1 = b*v - 24 for v.
5
Let i be (124/(-8))/(7/(-70)). Let u = i + -153. Solve -3 = -u*o - o for o.
1
Let w(z) = 2*z**2 - 3. Let f(d) = -5*d**2 + 10. Let l(u) = -3*f(u) - 10*w(u). Let t be l(-2). Let m = -18 - t. Solve 0 = -m*k + 5*k - 9 for k.
3
Suppose 13*j = -0 - 0. Let x be 0/((j - -1)/(-3 + 2)). Suppose -11 = -5*k + 9. Solve k*p + 2 + 2 = x for p.
-1
Let s(t) = -23*t + 3. Let u be s(-1). Suppose 8 = -6*v + u. Solve -8 = -5*l + v*l for l.
4
Let s = -266 - -305. Solve -36*d + 9 = -s*d for d.
-3
Suppose 0 = -2*u - 5*v + 24, 4*v - 9 = -u + 3*v. Let x be 5/u + (-16)/(-56). Solve -2*g = -x - 1 for g.
1
Suppose -l + 6*l - s - 11 = 0, 6 = 2*l - 2*s. Let b be l/8 + 12/16 + 2. Suppose -m = -2*i - 3*i + 15, 3*i = 3*m + 9. Solve m = 5*w - b*w + 2 for w.
-1
Suppose -c + 16 = 4*z, -13*z - 4 = -4*c - 14*z. Solve c = -8*x + 2 + 6 for x.
1
Let f be 7/(-21) - (-3)/((-9)/(-16)). Suppose 10 = 5*k - f. Solve -4*g = 1 + k for g.
-1
Let u = 68 - 39. Solve 4*n = -9 + u for n.
5
Let y be (-6)/(1*(66/15 - 4)). Let k be 6/y + (2 - (-6)/15). Solve -k*v - 4 = 2*v for v.
-1
Suppose -u - 2*u + 3 = 0, -3*u - 11 = 2*a. Let c be ((-7)/a)/((-2)/8). Let m(j) = -j**2 - 6*j - 5. Let o be m(c). Solve -5*k = -o*k + 10 for k.
-5
Let l be (2/6)/(6/18). Let y be 2 - (3 - l - 3). Solve -a - 2 + y = 0 for a.
1
Let b be (45/18)/(20/48). Solve 0 = -b*g + 28*g - 110 for g.
5
Let f = 2 + 0. Suppose 5*j + f = p, -p + j + 4 = 2. Let h be (1/p)/((-11)/(-22)). Solve -3 - h = -i for i.
4
Let u = -60 + 61. Suppose -r = -16 - u. Solve -5*y + 8 = -r for y.
5
Suppose -105*c = 3*v - 102*c - 45, -2*v + 33 = 3*c. Solve -u = 5*u - v for u.
2
Let h(i) = -5*i + 4. Let l be h(-2). Let r = -12 + l. Let y = -8 - -11. Solve -y = -5*b + r*b for b.
1
Let n = 0 - -9. Suppose -3*f - j + 5*j = -21, -3*j + 3 = 4*f. Suppose l = 0, f*c - 5*l = 5 - 2. Solve -c = -2*y - n for y.
-4
Suppose 0 = 203*i - 201*i - 18. Solve 1 = 8*w + i for w.
-1
Let c = -168 + 177. Solve -4*p - c + 5 = 0 for p.
-1
Let g be ((-30)/(-12))/(2/4). Suppose -4*s + g = -2*h - 5, 8 = 5*s - 4*h. Let d = 12 - s. Solve d - 28 = -5*f for f.
4
Let z(w) = -w**2 + 14*w + 32. Let t be z(16). Suppose t = -8*s + 2*s. Solve s*b - 3*b = 0 for b.
0
Suppose 23*o = 21*o. Let d be (o - -1)*(-5 + 9 - -1). Solve -4 - 6 = -d*h for h.
2
Let x(m) = 4*m + 9. Suppose -8 + 12 = n. Let l be x(n). Let z be (11 - l)*(-2)/7. Solve 2*g + z + 2 = 0 for g.
-3
Let z(i) be the second derivative of -i**5/20 - 5*i**4/12 + 2*i**3/3 - 9*i**2/2 - 7*i. Let c be z(-6). Solve c*r = 8 - 2 for r.
2
Suppose -3*y - 6 + 24 = 0. Let l = 6 - y. Suppose 0 = 3*p - l - 6. Solve -6 = -p*o - o for o.
2
Let j(f) = f**2 + 8*f + 5. Let g be j(-6). Let c = -5 - g. Let a be -5 + (0 - -3) + (3 - 1). Solve a = -c*y - 3 - 1 for y.
-2
Let l be (36/(-48))/(2/(-16)). Solve 0 = -l*m + 4 + 20 for m.
4
Let q = -160 + 280. Let a = -112 + q. Solve 3*c + a = -1 for c.
-3
Let c(k) = k**2 - 3*k - 4. Let q be c(4). Suppose h = 2 - q. Solve 0 = h*y - 3*y - 3 for y.
-3
Suppose 3*a - 7*a = -0*a. Solve 3*y + 8*y - 16*y = a for y.
0
Let p be (-1)/5 - 224/(-20). Solve 5*v + 9 = -p for v.
-4
Let a = 17 - 13. Solve a = -2*h - 4 for h.
-4
Suppose 5*b - 31 = 2*p - 136, -5*b + 30 = p. Solve -p = 3*z - 33 for z.
-4
Suppose -429 = -10*m - 69. Solve 0 = -r - m + 39 for r.
3
Suppose -2*z + s = 3*z - 40, -4*z + 4*s = -48. Suppose -z*k - 5*k + 72 = 0. Solve 8 = -k*l + 2*l for l.
-2
Suppose 2*z = 4*z - 22. Solve -6*b - z = 1 for b.
-2
Suppose -8*g + 725 = -3*g. Let c = -137 + g. Solve c*p = 5*p for p.
0
Let n(i) = i**3 - i**2 + 2*i - 124. Let r be n(0). Let g = r + 132. Solve g = 4*u - 4 for u.
3
Suppose -3*r + 11*j = 16*j - 56, -5*j = 2*r - 44. Solve 9*b + 3 = r for b.
1
Suppose -h = -2*j + 19, -2*j + 18*h = 15*h - 29. Solve -j*w = -22*w + 15 for w.
1
Suppose n = -4*r + 3, 5*r - 3 = 2*n - 3*n. Let i(y) = -y**3 + 16*y**2 + 6. Let l be i(16). Suppose b = 3*k + 6*b, 2*b = -l. Solve r*v - 10 = -k*v for v.
2
Suppose -h = -3, 3*u + 2*h - 261 = 5*h. Let b be 5 + u/(-5 - -11). Solve 4*y = 8*y - b for y.
5
Let f(u) = u**2 - 8*u + 2. Let i be f(4). Let a = -162 + 146. Let n = i - a. Solve n*b = -b + 6 for b.
2
Suppose 0 = 2*s + 4*g - 18, s = -g + 3 + 3. Suppose -20*u = -s*u + 3*u. Solve -5*y + 5 + u = 0 for y.
1
Suppose 3*a + m - 17 = 0, 15 = -3*m + 3. Solve -a = -x - 4 for x.
3
Let l be 14 + (-9)/3 + 1. Suppose 13*z = 16*z - l. Solve -z*n = -n for n.
0
Let o(g) = -g**2 + 9*g - 8. Let u be (-2)/9 + (-74)/(-9). Let w be o(u). Solve w*l + 4 = l for l.
4
Let x(n) = -17*n - 289. Let b be x(-17). Let w = -5 - -8. Solve b = -w*f + 3 - 0 for f.
1
Suppose -2*m + 4*w = -5*m + 10, 2*w + 4 = 0. Suppose -5*s - 4*d + d = -3, -2*s - 3*d = m. Solve 0*l = -s*l + 6 for l.
2
Let v(l) = l**2 + 2*l - 1. Let k be v(-3). Suppose 32 = 4*c - 4*z, 6*z = c + z - 8. Suppose c*q - 20 = 3*q. Solve k - q = -a for a.
2
Let v be (-141)/(-11) - 18/(-99). Solve 0 = 2*m + 19 - v for m.
-3
Suppose 5*m - 90 = 9*l - 4*l, 2*m + 2*l - 52 = 0. Let u be 4/(-7)*(-1309)/m. Let g be 8/14*119/u. Solve -y - g = 2 for y.
-4
Suppose -30 = -5*f + 5*q, 0 = 2*f + f + 5*q - 18. Suppose -1 + f = -3*v + 4*p, v = p. Solve u + v = 2 for u.
-3
Let d(v) = -v**3 - 9*v**2 + 9*v - 7. Suppose 0 = 3*a + 3, -4*m - 23 = -4*a + 13. Let w be d(m). Solve w*t = -5 - 4 for t.
-3
Let u be 2*(-2)/(0 + -2). Suppose -3*g - u = -2*y, -3*y = -3*g - 0*y - 6. Let b be 28/6 + (-2)/(-6). Solve -z + b = g for z.
3
Let t = -38 - -40. Suppose 4*k - 4*l = 37 + 19, 0 = t*k + 2*l - 12. Let n = -9 + k. Solve n + 3 = 4*q for q.
1
Let f(m) = m + 16. Let b be f(-9). Suppose 3*a - 24 = b*a. Let y be a*(-2)/(-3)*-5. Solve 5*o - o = y for o.
5
Let b be 6/4 + (-20)/(-8). Suppose 0 = -4*w + b + 8. Suppose -w*a - 30 = -5*a. Solve -6*r - a = -r for r.
-3
Suppose -2*u + f = 5, 2*u - 5*f + 11 = -14. Suppose u = -12*o + 14*o. Solve -4*y - 4 + 0 = o for y.
-1
Let y be (-16)/(-2) + (11 - (20 - 6)). Suppose 4*p + 11 = -r - 1, 0 = -5*p - 15. Suppose 0*i + i = r. Solve y*u = -i*u for u.
0
Let k = 1616 - 1612. Solve -k*h + 7*h = 6 for h.
2
Let o = -120 - -103. Let a = o + 17. Suppose -w = 5*r - 15, -2*r = -3*w - 2*w - 6. Solve v + w*v = a for v.
0
Let i be 4 - (-5 + 1)*1. Suppose -3*m = -i - 4. Solve -m*t + t = 0 for t.
0
Suppose 5 = -5*u, -5*d - 171 = 2*u - 14. Let j = 32 - 63. Let h = d - j. Solve -2*c + 3*c + 4 = h for c.
-4
Let f(t) = -29 + 21 - t + 14. Let z be f(0). Solve z = 4*l + 26 for l.
-5
Let c = -1718 + 1726. Solve -14 = -c*s - 6 for s.
1
Let l(w) = w**2 - 6. Let g be l(-4). Suppose -h - h = 0. Suppose h = -0*r - r. Solve r*a + g = -5*a for a.
-2
Let s = 1124 - 1115. Solve s = -27*k + 24*k for k.
-3
Suppose 0 = -f - 3*f + 4. Solve 4*p - 3 = f for p.
1
Suppose -5*q - 17 = -92. Let r(y) = 4*y - 7. Let c be r(6). Let w = c - q. Solve -2*d - w = -0 for d.
-1
Suppose -6*d = 4*t - 4*d - 62, 97 = 5*t - 4*d. Let n = -38 + t. Let s = -6 - n. Solve -2*q - 3*q = s for q.
-3
Let u(q) = 2*q - 37. Let o = 58 + -37. Let a be u(o). Solve a*c = 38 - 13 for c.
5
Let g(q) be the first derivative of q**4/2 - 4*q**3/3 - q**2/2 + 2*q - 27. Let p be g(2). Solve p = -4*b - 2 + 10 for | {
"pile_set_name": "DM Mathematics"
} |
(2 + -3) a prime number?
False
Let v(m) = 11*m + 9. Is v(10) composite?
True
Suppose 3*r - 2*r = 2. Suppose -r*k = -4*f + 140, -2*f + 6*f = 5*k + 140. Is f prime?
False
Let s be (-51)/(-9) + (-2)/(-6). Is 49 + s - (1 + -1) a composite number?
True
Suppose 2*s + 770 = 3*x + s, -3*x + 766 = s. Suppose 4*o - 4*y - x = 0, 3*o + 4*y = o + 116. Is o/(-4)*(-8)/4 composite?
False
Let m = 663 - 274. Is m composite?
False
Suppose 0 = -w - 4*z + 47, 2*w = -4*z - z + 97. Is w composite?
True
Let t(p) = -2*p - 35. Let a(c) = -3*c - 70. Let k(i) = -3*a(i) + 5*t(i). Is k(0) a prime number?
False
Suppose -1 = 4*l - 3*f, l - 2*f = 2*l - 8. Suppose -2*h + 38 = l*z, 5*h - z - 104 = -3*z. Is h a prime number?
False
Let i(y) = -y**3 + 7*y**2 + 12*y - 15. Suppose b + 6 = 4*b, 3*g - 2*b - 17 = 0. Is i(g) composite?
True
Let i(v) = v**3 - v**2 - v + 1. Let d(g) = -5*g**3 + g**2 + 3*g - 9. Let z(r) = d(r) + 6*i(r). Is z(6) a composite number?
True
Let u(z) be the third derivative of z**4/24 - z**3/2 + 2*z**2. Let t be u(2). Is 7 - (t/(-1) - 0) a prime number?
False
Let q(p) = -9*p + 30. Let j(a) = 5*a - 15. Let b(x) = 5*j(x) + 3*q(x). Let g be b(-13). Let d = 170 + g. Is d a composite number?
False
Let r be 14 + -2 + 0 + 1. Let y = -11 + 12. Let a = r + y. Is a prime?
False
Suppose -2*f = -7*f, -f - 12873 = -3*a. Is a a prime number?
False
Suppose 0 = z + z - 314. Is z composite?
False
Let m(n) = -n**3 + 12*n**2 + 14*n - 13. Let d be m(13). Suppose 2*x - 3*x + 371 = d. Is x a composite number?
True
Let s(z) = -15*z. Let j(q) = 16*q + 1. Let h(d) = -4*j(d) - 3*s(d). Let w be h(-4). Suppose -x + w = 4*a - 85, -2 = 2*a. Is x prime?
False
Let r = -1 + 5. Suppose -r*t + 12 + 12 = 0. Is 74/t - 2/(-3) a prime number?
True
Suppose 2*n - 1 = -0*g - g, 3*g - 3 = -2*n. Suppose c + n*c + 3*h = 8, 2*c - 5*h = -28. Is c - -7 - -1*16 a prime number?
True
Let c(b) = 5*b**2 + 9*b - 11. Let j = 1 + -9. Is c(j) a composite number?
True
Is 17*(-4)/(-2) - -3 a composite number?
False
Is (-10)/(-50) - (-5204)/5 composite?
True
Let x(s) = -10 - 7*s - s**2 - 6*s + 3*s. Let d be x(-9). Is 55 + 0/(-4 - d) prime?
False
Let t(o) be the second derivative of o**7/840 - o**6/180 - o**5/60 - o**4/12 - o. Let c(v) be the third derivative of t(v). Is c(-3) composite?
False
Suppose -3*f + 2*l + 61 = -3*l, -8 = -2*l. Let c = -18 + f. Is c a prime number?
False
Suppose -36070 = 6*w - 16*w. Is w a composite number?
False
Is ((4 - 0) + -483)/(1*-1) a prime number?
True
Let o(t) = t**3 + 16*t**2 + 16*t + 18. Is o(-13) a prime number?
True
Let q(g) = 3*g**3 + 5*g**2 + 3*g + 1. Let r(a) = 4*a**3 + 6*a**2 + 4*a + 2. Let m(w) = -3*q(w) + 2*r(w). Let z = 8 + -14. Is m(z) a composite number?
True
Let d(m) = -m - 2. Let t be d(-2). Suppose -g - g + 254 = t. Is g prime?
True
Let v = -658 + 1077. Is v composite?
False
Let w(z) = -11*z - 10. Is w(-19) a prime number?
True
Let c = 85 - -1762. Is c a composite number?
False
Suppose 5*y - 1115 = -5*o, -3*y + 4*o = 6*o - 669. Is y a composite number?
False
Is ((-33)/22)/(3/(-586)) a prime number?
True
Suppose -258 = -2*d + 5*z + 49, -4*d + 4*z + 596 = 0. Let m = 16 - 16. Suppose 0 = 3*h - g - 26 - 70, 5*h + 3*g - d = m. Is h composite?
False
Let q(s) = -7*s**3 + 2*s**2 + 5*s + 35. Is q(-8) a composite number?
True
Let c = -695 - -1396. Is c a composite number?
False
Let u(i) = i + 12. Let m be u(0). Let g(h) = 4*h - 17. Is g(m) a composite number?
False
Let a = 25 - 7. Suppose -3*m = a + 6. Let q(x) = -x**3 - 8*x**2 - 3*x - 5. Is q(m) composite?
False
Suppose 5*m + v - 15 = 0, -v - 3*v + 22 = m. Suppose -2*p + 4*p = -m*h - 86, -114 = 3*p - 2*h. Let a = -19 - p. Is a composite?
True
Let s = 839 + -277. Is s a composite number?
True
Let f(u) = -u**2 - 3*u - 4. Let g be f(-4). Is g/44 - 475/(-11) a prime number?
True
Let s(x) = x**3 + 9*x**2 + 5*x + 2. Let k be s(-6). Suppose 3*i + i + 5*j = k, 0 = 5*j. Let c = i - 10. Is c composite?
True
Suppose -8 = b + 3*b. Let s = 610 + -432. Is (b + -1)*s/(-6) prime?
True
Suppose -2*i + 218 = w, 2*i - 654 = -3*w + i. Is w a composite number?
True
Let x = 1458 - 491. Is x a prime number?
True
Let z be (-8)/(-2)*(7 - 8). Let h be (-3)/(3 - (-13)/z). Is (-9)/h - 331/(-4) a prime number?
False
Let y be -3*(-3)/6*2. Let w(x) = -x**3 + 2*x**2 + 3*x + 3. Let a be w(y). Suppose -2*c - 5*v = -c + 4, 5*v - 18 = -a*c. Is c composite?
False
Suppose -4*t = -2*o - 4918, -t = 5*o + 253 - 1455. Is t a prime number?
False
Suppose 5*p + 9 = z - 34, 6 = 2*p. Is z a prime number?
False
Suppose 3*l - 6973 = -3*d + l, -11605 = -5*d + 5*l. Is d a composite number?
True
Suppose 0 = -3*x - 7 + 16. Suppose 2*g = -c + 6*g + 127, 5*c + x*g - 658 = 0. Is c a composite number?
False
Let b = 5 - 25. Suppose 0 = q + 2*q + 129. Let z = b - q. Is z a prime number?
True
Suppose 0 = 4*f + f - 660. Suppose -27 = -3*w + f. Is w a composite number?
False
Suppose 0 = -5*c - 2*w, -4*c - 5*w + 16 + 1 = 0. Let z(b) = -19*b - 3 + 6 - 3 - 1. Is z(c) prime?
True
Suppose -l + 287 = 3*n, 5*l - 2*n = 1911 - 544. Let j = -118 + l. Is j a composite number?
False
Let b = -287 + 694. Suppose -4*h - h = -4*c + 522, b = 3*c + 4*h. Is c prime?
False
Let g(x) = 3*x**2 + 0 + 0 + 1. Let d be g(-2). Suppose 0 = -c + 72 - d. Is c prime?
True
Let k = -3 + 6. Is 0 + (3 - -121 - k) a prime number?
False
Let i = -67 - -227. Suppose -r + 6 = i. Let f = -101 - r. Is f a composite number?
False
Let b = 19 - -17. Let m be (3/(-2) + 1)*b. Is 4/m + 202/18 prime?
True
Suppose 0 = -4*x + y + 11 + 1334, -671 = -2*x + y. Is x prime?
True
Let n(p) be the second derivative of 17*p**4/3 - p**3/3 + p**2/2 + p. Let f be n(1). Suppose 44 = x - f. Is x a composite number?
True
Suppose 4*u = 38 + 442. Suppose -28 = -4*w + u. Is w a prime number?
True
Let w(g) = -g**3 + 15*g**2 - 8*g - 7. Is w(11) prime?
True
Let u(v) = v**3 - 5*v - 1. Let h be u(6). Suppose 3*t = -5*c + h, 4*c - 5*t - 76 = 72. Is c prime?
True
Is 3/(-18)*2 + (-230)/(-15) prime?
False
Let t(a) = 8*a - 2. Let w be t(2). Suppose -u + 3*n + 79 = -0*n, -4*n - 316 = -4*u. Let c = u - w. Is c a prime number?
False
Let a = 1118 + 681. Is a a composite number?
True
Let j(g) = -27*g**2 + g - 13. Let u(x) = 14*x**2 - x + 7. Let b(z) = -3*j(z) - 5*u(z). Let i = -10 - -7. Is b(i) a prime number?
True
Let z(w) = -w**3 - 2*w**2 - 3*w - 5. Suppose 4*l = l - 12. Let n be 2/l*-10*-1. Is z(n) prime?
False
Suppose 8*i - 21*i + 2678 = 0. Is i composite?
True
Suppose -6 = -18*c + 20*c. Is 8*c/6 - -163 a composite number?
True
Suppose z + 0*z - 9 = 0. Let x = 0 - z. Is 186/x*6/(-4) composite?
False
Let n(h) = -h + 1. Let r be n(-5). Let i(t) = -t**3 + 9*t**2 - 9*t + 5. Is i(r) a composite number?
False
Let f(m) = m**2 - 1. Let z be f(-2). Let s = 5 - z. Suppose s*i - 23 = x, -3*i + 0*x = 4*x - 51. Is i prime?
True
Let h be ((-2)/4)/((-3)/834). Suppose h = 2*u - 43. Is u prime?
False
Suppose 4*r + 351 = -4*a + 1091, 5*a = -4*r + 925. Is a a prime number?
False
Let o(y) = 43*y**3 - 2*y**2 + 1. Is o(2) prime?
True
Suppose 2*o = o - 4*g + 8, -5*o + 5*g = 10. Suppose t - 5*t + 252 = 4*a, o = 4*t - 3*a - 280. Is t composite?
False
Is -3 + 1 + 2 + 209 prime?
False
Let s be 61 - (-6)/(-3)*-1. Let g = s + 65. Let w = 3 + g. Is w prime?
True
Let n = 65 - -480. Suppose -5*m = 5*u - n, 4*u - 4 = -12. Is m composite?
True
Let h = -3 - 7. Is ((-132)/(-24))/((-1)/h) a prime number?
False
Is (465/12 - 4)*4 a composite number?
False
Suppose -737 - 719 = 4*t. Is -6 - -3 - t/2 a composite number?
False
Let a(b) = -8*b - 37. Is a(-13) composite?
False
Let x(l) = -3*l**3 + 2*l**2 + 3*l - 1. Is x(-4) a composite number?
False
Suppose 0 = -4*t + w + 17, -5*t = 5*w + 5 - 20. Is t/22 - (-1444)/44 a prime number?
False
Suppose -6*k = -k - 2740. Suppose k + 482 = 5*b. Suppose -3*g = -b - 67. Is g composite?
True
Let y(u) = u**3 - 3*u**2 - u - 1. Let a be y(3). Let w = a + 1. Let b(d) = -15*d - 2. Is b(w) composite?
False
Suppose -5*y = d - 54 - 57, 0 = d + y - 115. Suppose 0 = -v + 2 + d. Is v a composite number?
True
Suppose 0 = 5*o - 4*l - 450, -193 = -2*o - 2*l + l. Is o prime?
False
Is (-1)/3*-3*2794/2 composite?
True
Let z be (6/(-3))/(2/(-24)). Is (z - (2 + 0))*1 a composite number?
True
Suppose o = -2*j + 4*j - 159, -328 = -4*j + 4*o. Is j prime?
False
Let z = 62 - -125. Is z composite? | {
"pile_set_name": "DM Mathematics"
} |
l(p) = p**2 + 12*p + 4. Suppose -4*q - 35 = 3*v, 15*v - 45 = 19*v + 5*q. Calculate l(v).
-31
Let c(l) = -7*l**2 + 9*l + 47. Let j(k) = -5*k**2 + 6*k + 30. Let a(w) = 5*c(w) - 8*j(w). Let m(y) = y**2 - 3. Let r(v) = -a(v) + 4*m(v). What is r(0)?
-7
Let w(n) = -8*n + 7. Let f be w(0). Let h be 2/f + (-6 - 171/(-63)). Let t(x) = x**3 + 6*x**2 + 2*x - 7. Calculate t(h).
14
Let f(r) be the first derivative of -r**4/4 + 13*r**3/3 + 3*r**2 + 12*r - 4988. Determine f(13).
90
Let s(d) = -d**2 + 17*d - 25. Suppose 5*c + 41 = 2*i, 45*c - 53*c - 80 = -4*i. Determine s(i).
-43
Let f(b) be the first derivative of 5*b**2 - 24*b - 12892. What is f(15)?
126
Let k(f) = 2*f - 43. Let q be k(24). Suppose -72 = -q*g + 17*g. Let w(h) be the second derivative of -h**3/6 - 4*h**2 - h. What is w(g)?
-2
Let i(u) = -5*u + 3. Suppose 5*b + d - 10 = 0, -4*b - 5*d + 1 - 14 = 0. Let t(y) = y**2 - 3*y - 4. Let r be t(b). What is i(r)?
23
Let i(s) = -s + 2. Let c(g) = g**3 - 3*g**2 + 2*g - 5. Let a(v) = v**2 + 1. Let q(b) = -4*a(b) - c(b). Let n be q(1). Let j be (-1 + n)*(-7)/4. What is i(j)?
-5
Let s(y) = 109*y - 181. Let i(a) = -93*a + 180. Let z(m) = 6*i(m) + 5*s(m). Give z(14).
-7
Let t(k) be the third derivative of -k**5/60 - k**4/3 + k**3/6 - 32*k**2. Let q be t(-9). Let m(b) = b**3 + 8*b**2 + 8. Calculate m(q).
8
Let q(r) = 5*r - 5. Suppose -k + 7 = -3*d, -25*k + 27*k - 7 = -d. Give q(d).
-10
Let i be (-3)/(-1 + 2)*(79 - 166). Let l(s) = -263*s - i*s + 3 + 523*s + 1 - 1. Determine l(0).
3
Let o(w) = w**3 + 10*w**2 - 9*w + 25. Suppose -2*k + 5 = -i, 179*k = 181*k + 6. Determine o(i).
3
Let b(w) = 4041809*w + 56 - w**3 - 4041810*w - 22. Give b(0).
34
Let r(h) = 4*h. Let c(m) = 4*m + 2*m - 3*m. Let p(z) = -3*c(z) + 2*r(z). Let w(k) = -1176*k + 19994. Let j be w(17). Determine p(j).
-2
Let g(b) = b**2 - 16*b - 36. Suppose 310 = 21*r - 89. What is g(r)?
21
Suppose -m + 11 = 3*d, 3*d - 2*m = 11 + 3. Let s(g) = -8*g - 703. Let t(y) = 11*y + 958. Let u(k) = 15*s(k) + 11*t(k). Determine u(d).
-3
Let g = 4 - -1. Let j(q) = 3*q**2 + 4*q + 3295 - 6574 + 3286 - q**3. Give j(g).
-23
Let x(a) = 5*a + 69. Let r(d) = -4*d + 2. Let g(t) = 2*r(t) + x(t). Determine g(23).
4
Let g(i) = 12*i + 2. Let z(s) be the second derivative of 2*s**3 - 83*s**2/2 + 8*s - 9. Let a be z(7). Give g(a).
14
Let y(x) = 40 - 9*x + 31*x + 19 + 19 + 16*x**2 - 114 - x**3. Determine y(17).
49
Let k(u) = 3*u + 22. Let n(g) = -5*g - 42. Let q(s) = 11*k(s) + 6*n(s). Suppose 0 = 2*b + 4*t - 20, -t + 8 = -b + 3*t. What is q(b)?
2
Suppose 6*b - 3*b - 4*w = 552, 3*b - 5*w - 555 = 0. Let a be b/(-108)*6/5. Let s(q) = 2*q**2 - 1. Give s(a).
7
Let o(k) = -k - 2. Let d(j) be the second derivative of j**5/10 - j**4/12 + j**3/6 + j**2/2 + 11*j. Let u be d(0). Suppose -w - u = 1. Calculate o(w).
0
Let h(s) = -4*s - 6. Let y = -196 - -213. Suppose -9*p + 10 = -y. Determine h(p).
-18
Let z(j) = -j**2 - 5*j + 1. Let y be 2*((-252)/8)/21. Calculate z(y).
7
Let t(g) = g**3 + 3*g**2 - 3*g + 2. Suppose 571 = 7*p + 151. Suppose v + 14*v = -p. Calculate t(v).
-2
Let l = -18 - -23. Suppose h = l*s - 3, -2*h + 4*h - 2 = 2*s. Suppose -3*x = u - 6*u + h, 3*u = 3. Let v(c) = -2*c**2 - 1. Determine v(x).
-3
Let n(j) = j**2 + 11*j + 4. Let h(c) = -9*c**2 - 111*c + 112. Let x be h(1). Determine n(x).
-20
Let v(r) be the second derivative of r**3 + 0 - 5/2*r**2 - 186*r + 1/12*r**4. Calculate v(-7).
2
Let z = 8376 - 8367. Let o(r) = 5*r**2 - 43*r - 3. Determine o(z).
15
Let g(q) = 25*q**3. Suppose 21*f - 23*f = -5*y - 7, -5*f = 4*y - 1. Give g(f).
25
Suppose 29*p + 26 + 3 = 0. Let c be (-7 + 1 + 6)*(2 + p). Let f(w) be the second derivative of w**3/6 - 2*w**2 + w. Calculate f(c).
-4
Let s(o) be the third derivative of -o**4/12 - 47*o**3/6 + 3*o**2. Let w = 43818 - 43842. Determine s(w).
1
Let z(y) be the third derivative of -y**6/720 - y**5/12 - 13*y**4/12 + y**3/3 + y**2 - 12. Let m(k) be the second derivative of z(k). What is m(0)?
-10
Let j be -3*((-56)/12 + 3). Let r be (4 - (-80)/(-25)) + 68/(-10). Let x(z) = -7*z - 25. Let u(w) = -w - 4. Let g(i) = r*x(i) + 39*u(i). Determine g(j).
9
Let a(c) = c**3 + 9*c**2 + 23*c + 13. Let t be a(-5). Let l(s) = 6*s**2 + s + 2. Calculate l(t).
24
Let a(k) = -90769*k - 17 + 90764*k - k**2 - 87*k**3 + 88*k**3. Give a(5).
58
Let q(a) = -137*a + 6 - 11 + 30*a**2 - a**3 - 17*a**2 + 141*a - 17*a**2. Let s = 22 - 31. Let b = 4 + s. Give q(b).
0
Let w(k) = -2*k**2 - 10*k - 17. Let g be w(-3). Let t(v) = -19090 + 19097 + v**3 - 3*v**2 - 2*v**3 + 8*v. Calculate t(g).
17
Suppose -47*r = -2*m + 295, -6*r - 5*m - 92 = -5*r. Suppose -5*f = 5*n - 30, -8*f + 3*f + 3*n - 2 = 0. Let k(q) = -2 - 12*q - q**f + 3*q + 0*q. Give k(r).
12
Let z(d) = 7*d**3 - 2*d - 1. Let m = -342 + 350. Suppose -m*q = -118 + 126. Calculate z(q).
-6
Let s(i) = i**2 - 18*i - 1. Let z be ((-5)/(-5 - 0)*-6)/(7/(-21)). Determine s(z).
-1
Let s(i) = i + 1. Let n(j) = 4*j - 4. Suppose -3*q + 3*l - 6 = 6, -3*q + 4*l = 15. Let u(g) = q*n(g) - s(g). Suppose 0 = 3*k + 46 - 37. Calculate u(k).
18
Let y(d) = 2*d**2 - 3*d - 2. Let g be y(2). Let s(x) = 19*x - 178 + 161 - 20*x + x**2. Calculate s(g).
-17
Let f(i) = -5*i + 13. Let v(k) = k. Let w(s) = -f(s) - 6*v(s). Let o be 9 + (-144)/(-16) + -25. Calculate w(o).
-6
Let d be (0 - 3/5) + 84/15. Suppose k + x + 3 = -2, 0 = 4*k - d*x + 47. Let u(g) = g**2 + 6*g + 2. Give u(k).
18
Let a(t) = t**3 + t**2 - 2*t - 1. Let g = -59 + 70. Suppose -11*i + g + 11 = 0. Give a(i).
7
Suppose -5*s + 19 = -3*i, 2*s = -2 + 12. Let p(w) = -5199 - w**i + 5199 - 7*w. Give p(-7).
0
Suppose -70*h = -36*h + 5 - 107. Let d(o) = 2*o**3 - 6*o**2 + 2*o - 11. Give d(h).
-5
Suppose 2*d = -d - 2*q + 195, 210 = 3*d - 3*q. Let m = d - 70. Let s(n) be the third derivative of -n**6/120 - n**5/60 + 5*n**4/24 + n**3/3 + 2*n**2. Give s(m).
5
Let d be 12/(-5) + 18/(-30) - -5. Let u(j) = 45*j**d + j + 46*j**2 - 92*j**2 + 2. Suppose 4*t - 3*g - 2 + 13 = 0, -6 = 4*t + 2*g. Calculate u(t).
-4
Let z(o) = 23838 - 19*o + 21*o - 11914 - 11918. Let a(b) = 4*b. Let k be a(4). Suppose k = -q - 3*q. Determine z(q).
-2
Let p(i) be the first derivative of -21*i**2 - 1. Suppose -8*m = 80, -5*r - 181*m = -185*m - 45. Calculate p(r).
-42
Let l(x) = x**2 - 88*x + 965. Let o be l(13). Let t(f) = f**2 + 2*f. Determine t(o).
80
Let u(h) = h + 5. Suppose -3*j = -4*c + 28, -3*j + 19 + 9 = 4*c. What is u(j)?
5
Let w(k) be the third derivative of k**4/12 + 28*k**3/3 - 4274*k**2. Give w(-19).
18
Suppose 0 = -418*t - 75 + 911. Let z(a) = -3*a**3 + 2*a**2 + 6*a - 7. Give z(t).
-11
Let x(i) = -i**2 + 6*i + 9. Suppose 4*m + 13 = 41. Let w be x(m). Let l(k) = -k - 2*k + 4*k - 14*k**w - 1. What is l(1)?
-14
Let j(v) = -8*v - 2. Let q(r) = 4*r**3 + 2*r**2 + 6*r - 6. Let p be q(1). Give j(p).
-50
Suppose 3*b + 2*g = 2*b + 18, 5*b + 2*g - 66 = 0. Suppose 244 = -4*m + b. Let k = 55 + m. Let w(o) = 2*o**2 - o + 2. Calculate w(k).
23
Let x(u) = -296*u**3 + 151*u**3 + 152*u**3 + 1 - 3*u. Give x(1).
5
Let w(s) = -2*s + 86. Let b be (7 - 21)/14 - (-1 - 43). Determine w(b).
0
Let f(a) = 10*a**2 - 107 - 134 + a**3 - 114 + a**2 - 8*a + 380. What is f(-12)?
-23
Let i(a) = 5 - 5*a**2 - 8*a**2 + 2*a**2 - 2 + 9*a**2 + 2*a**3. What is i(2)?
11
Let n(s) = 8*s - 1. Let z(v) = -v**3 - 8*v**2 + 39*v + 5. Let g(i) = 5*n(i) - z(i). Let j be 116/(-14) + 20/70. What is g(j)?
-18
Let g(j) be the third derivative of 1/15*j**5 - 20*j**2 + 0 - 1/120*j**6 + 1/8*j**4 - j**3 + 0*j. Let u be g(4). Let h(n) = -n - 2. Give h(u).
-8
Let o = 1 + 12. Let d(r) = r**3 + 15*r**2 + 3*r + 1. Let w(l) = 2*l**3 + 16*l**2 + 5*l - 2. Let q(n) = -3*d(n) + 2*w(n). Determine q(o).
6
Let o(x) = -x**2 + 12*x - 12. Let l(d) = -8*d**2 - 60*d + 11. Let k(b) = -9*b**2 - 59*b + 11. Let i(u) = -6*k(u) + 7*l(u). Let g be i(-33). Give o(g).
-1
Let s = 23150 - 23158. Let m(h) = h**2 + 4*h + 31. Calculate m(s).
63
Suppose 3*a + 2*g - 19 = 0, -29*a - 39 = -34*a + 4*g. Let t(j) = -j + 17. Calculate t(a).
10
Let p(k) = k + k**2 - 15*k + 10 - k. Let d = 2378 + -2364. What is p(d)?
-4
Let w = 57 + -52. Let q(p) = 6*p**2 - p - w*p**2 - 2*p. Let a be -1 - (4 + -10 + 2). Determine q(a).
0
Suppose 5*l + 2*n - 34 = 0, 0*l - 3*n + 23 = 4*l. Let m(h) = -51*h + 11 + 48*h - 2. Determine m(l).
-15
Let o(z) = -z**3 - 7*z**2 - 6*z - 4. Suppose 156 = | {
"pile_set_name": "DM Mathematics"
} |
(u) = -6*l(u) + t(u). Let g be z(-3). Solve g*m - 18 = 2 for m.
4
Let r = 98 - -52. Suppose -r = 2*k - 7*k. Let v be 9/2*20/k. Solve -v = 5*p + 2 for p.
-1
Suppose -2*a + 5 = 3*a. Suppose 6*u + 13376 = 13406. Solve o - u = -a for o.
4
Let h be 0/3 + 4 + -2. Suppose -3*g + 42 = -g - 4*d, h*d = -6. Solve i + 4*i = -g for i.
-3
Suppose -3*o + 0*s + 2*s = 2, -3*o + 10 = s. Suppose 5*p + 12 = o*y, -2*p - 9 + 4 = -y. Let d = -7 - -11. Solve y - 5 = d*c for c.
-1
Suppose -46*a + 49*a = 9. Solve -a*i + 135 = 147 for i.
-4
Let o = -568 - -574. Solve o*i - 10 = 4*i for i.
5
Let a(k) = k**3 + 6*k**2 + 4. Let g be a(-6). Let q be (-3)/6*-12 - 2. Suppose q*v = 12 - 0. Solve -g*j + v = -17 for j.
5
Let k = -10 - -10. Suppose 3*o + 0*o + 6 = k, 2*d + 4*o = -30. Let w = d - -25. Solve 3*c + 5 = w for c.
3
Suppose -4*v + 17 = 9. Solve -q - 3 = -v*q for q.
3
Suppose x - 2*x - 33 = 2*s, 0 = -5*s. Let o = 37 + x. Let a be (8/5)/(2/5). Solve o*g + 4 = -a for g.
-2
Suppose -7*f = 2*n - 2*f - 2, -5*n = -f - 32. Suppose -n*z + z = -80. Solve -3*g - g = -z for g.
4
Let u(h) = 3*h**2 + 17*h - 1. Let k(t) = -t**2 - 6*t. Let f(c) = 17*k(c) + 6*u(c). Let r be f(-3). Solve -r*n = 2*n - 15 for n.
3
Let p be 32/14 - 4/14. Let c = 7361 - 7361. Solve c*s = 2*s - p for s.
1
Let k = 71 + -69. Suppose -r + 0*r = -2, -k*l = -2*r. Solve c = -l*c + 6 for c.
2
Suppose 3*p - 24 = 2*i - 2*p, -4*p = -i - 18. Let b be (0 - (-3 + 3))/i. Solve 2*o - 4*o = b for o.
0
Suppose 2*h = 4*h + 4. Let i be (-2)/(h/(4/2)). Let n = 1 + 2. Solve -5*y - n = -i*y for y.
-1
Let j(i) = -i**2 + 6*i - 2. Suppose 4*x + 2*v + 12 - 34 = 0, -4*x + 4*v = -4. Let h be j(x). Let n(l) = -l + 8. Let g be n(h). Solve -4*t + 5*t = -g for t.
-2
Suppose 5*b - m + 2*m = 9, m = -3*b + 5. Solve 5 = -3*i + b*i for i.
-5
Let b = 631 + -631. Solve -152*z + 148*z + 20 = b for z.
5
Let x(z) = -z + 13. Let o be x(6). Let k(h) = 3*h + 23. Let f be k(-6). Let y be (f/15)/(1/15) - -3. Solve -3*i - y = o for i.
-5
Let l(g) be the second derivative of -1/20*g**5 + 6*g + 0 + 0*g**2 - 1/12*g**4 - 1/6*g**3. Let i be l(-1). Solve -1 - i = -h for h.
2
Let q(m) = -2*m**3 - m**2 + 2. Let i be q(-1). Suppose -2*f - i*o + 12 = 0, -f + 3*o = -0*o + 3. Solve -f*v = -0*v for v.
0
Suppose 0 = 23*x + 10*x - 231. Solve 2*k + x = -1 for k.
-4
Let b = -18 + 18. Let j be 3 - (b - 2) - 3. Suppose -5*x + 6 = -2*x. Solve x*q = -8 + j for q.
-3
Suppose -5*r + 40 = -10*r - q, 0 = -5*r - 3*q - 40. Suppose 2*d + 206 = -5*g, 0 = 4*g - d + 2*d + 163. Let x be (r/5)/(16/g). Solve x*v + 3 = -5 for v.
-2
Let v be 4 - (-96)/(-21) - 545/(-35). Solve -11*s = -14*s - v for s.
-5
Suppose 89 = 2*w - g, 2*w = -4*g - 31 + 135. Solve -10 = 18*y - w for y.
2
Let f(g) be the third derivative of g**6/40 + g**5/60 - 15*g**2. Let y be f(1). Solve -y*n + 0*n + 8 = 0 for n.
2
Let w(i) = -i**3 - i**2 + 11*i + 26. Let u be w(-2). Solve 7 + 1 = u*j for j.
1
Suppose -8 = p - 5*p. Suppose -5*d - 4*w = -21, 0 = 2*d + 6*w - p*w - 6. Solve b = d*b - 16 for b.
4
Suppose 0 = -6*l + l + 25. Let g be 0*(l - 4 - 0). Solve g = 2*p - p - 5 for p.
5
Let s = 15 + -12. Suppose -s*a - 9 = 0, 0 = 4*n - 5*a - 26 - 25. Suppose 0*z + n = z. Solve -4*j = -z*j for j.
0
Let q = -11 + 9. Let o be (q/3)/((-3)/(-9)). Let s be o/(-5)*(-245)/(-7). Solve 0 = 5*j + s + 11 for j.
-5
Let f(s) = 2*s**2 - s - 4. Let h be f(2). Let n = 0 + h. Solve 0 = -3*v + n*v for v.
0
Let l = -12 - -11. Let j be 8*-4 + (-2)/l. Let y be j/20 + 3/2. Solve y*a - 3 = 3*a for a.
-1
Suppose 0 = 3*d - 87 + 51. Suppose -5*b - 42 + 196 = -3*s, -3*s = 4*b - 134. Let g = b - d. Solve 3*y = -y + g for y.
5
Let u = -85 + 90. Solve -6*b + b = u for b.
-1
Let c(p) = -p**3 - 6*p**2 - 4*p - 18. Let i be c(-6). Solve 0 = -33*n + 35*n - i for n.
3
Suppose -62*m + 63 + 61 = 0. Let r(y) = y**2 + 7*y - 2. Let s be r(-8). Solve m*w - s = -0*w for w.
3
Suppose -2*m - 26 = -3*u, -169*u - m - 41 = -174*u. Suppose 2*a = -3*a. Solve -4*c = -a*c - u for c.
2
Let c be 43/15 + -9*8/(-540). Solve 70*u = 69*u + c for u.
3
Suppose 5*u - 40 = -15. Suppose -d = -5*f - u*d + 13, -11 = -f - 5*d. Let h = 2626 - 2605. Solve 0 = -4*j - h + f for j.
-5
Let k = -86 - -95. Solve 13*o - k*o + 20 = 0 for o.
-5
Suppose 3*w = -5*l - 62, -5*l = -3*l - 5*w. Let y be 7/((-210)/(-114)) - (-8)/l. Solve -3 = 4*m - y*m for m.
-3
Suppose 4*u - 6 = u. Suppose 10 = 3*f + u*f. Let z be (0 + 4)*f/4. Solve -3*k + 2*k = -z for k.
2
Suppose 11 = 2*u - 39. Suppose 2*y - 2*k + 12 = 0, -3*k + 4 + 6 = y. Let a be 2 + -1 - (-3 - y). Solve 7*d - u = a*d for d.
5
Suppose 2*j - 2 = 2*f, -9 = -4*j - 2*f + 1. Suppose g = -5*q, 0*g - j*g = -2*q - 12. Let c be (1*-2)/(-2) - 1. Solve -a - g = -c*a for a.
-5
Let x be -11 + 7 - 0/2 - -13. Suppose -c + 3*t = -14, -7*c + x*c - t = 38. Solve 2*v - c = -3*v for v.
4
Let t(x) = x**3 + 5*x**2 + x + 3. Let f be t(-5). Let y be (-2 - -11) + (f - (-1 + 1)). Solve 4 = -o + y for o.
3
Let v(w) = 6*w + 2. Suppose 0*o = 2*o - 2. Let n be v(o). Suppose n*b - 4*b - 12 = 0. Solve 0 = -2*m - 5 - b for m.
-4
Suppose -2*f - 2*f = d + 318, 0 = 5*f + 2*d + 399. Let p = -77 - f. Solve -i + 3*i = p for i.
1
Suppose -2*b = 4*k + 375 - 389, -2*b + 5*k = 4. Solve -b*x = -2*x + 1 for x.
-1
Let r(s) = -s**3 + 11*s**2 - 16*s - 15. Let l be r(9). Solve 3*x - l = -9 for x.
-2
Suppose -p - 3*f = -8, 3*p = -f + 2*f + 14. Suppose -34 = -3*l - p*s, -l + 27 = 3*l + 3*s. Solve 0 = -2*z - l*z for z.
0
Suppose -5*w - r + 123 = -2*r, -5*r = -w + 15. Solve -61 = -9*b - w for b.
4
Suppose -6 = -2*d - 0. Suppose -5*c = h - 14, -4*h + 2*h - 11 = -d*c. Suppose -2*k = b - 13, 5*k + 4*b = -37 + 71. Solve -c*a + 5*a = -k for a.
-3
Suppose 2*b = -12 - 92. Let w = b - -54. Solve -w*s - 3*s = -15 for s.
3
Suppose 0 = -3*q + 5*t + 37, -5*q - 2*t = -2*q - 2. Let n(d) = -2*d - q*d + 0*d - 2 + 4*d. Let a be n(-6). Solve 3*w - a = w for w.
5
Let j = 62 + -62. Solve j = 5*k - 13 - 2 for k.
3
Suppose 5*n = -3*p + 8, -6 + 34 = 3*n - 4*p. Suppose 0 = -n*b - 0*b + 4. Let l be b - (-8)/12*21. Solve -4*s + s + l = 0 for s.
5
Suppose -3*j - 26 = s, 3*s + 86 = -3*j + 32. Let o be (-2)/s - (-12)/(-84). Solve o*w - 12 = 3*w for w.
-4
Let v be 18/27 + 88/(-6). Let h = -14 - v. Suppose -6 = n + 2*n, -2*m - n + 6 = h. Solve 0*a = -a - m for a.
-4
Suppose l = 2*l - 65. Let x = l + -65. Solve x*q + 3*q - 6 = 0 for q.
2
Let u be 2/(-4 + -12 + 18). Suppose i = -1 + 3. Solve -b - u + i = 0 for b.
1
Suppose 22*k + 5*k = 5*k. Solve k = -10*h + 16*h - 30 for h.
5
Let h(z) = 13 + 4*z + 5*z + 7*z - 15*z. Let v be h(-9). Solve -v*b - 1 = -3*b for b.
-1
Let a be 18 + 730/(-40) + 17/4. Solve -1 + a = 3*i for i.
1
Suppose -f - 5 = -0*f + 5*w, -w - 12 = -2*f. Let m(d) = -d**2 + 8*d - 4. Let q be m(7). Solve -f*o - 2 - q = 0 for o.
-1
Let m be -6*(1 + (-10)/4). Suppose 36 = 67*c - 71*c. Let d = m + c. Solve 0 = 3*u - d + 6 for u.
-2
Let u(j) = j**3 + 38*j - 23*j + 2*j**2 - 13 + 15*j**2. Let a be u(-16). Let h be a + 3 + 0 + -1. Solve 0 = -l + 2 - h for l.
-3
Suppose -5*h + 4*d = 22, 3*d - 2 = -5*h - 3. Let f = 4 + h. Solve 0 = -f*l + 3*l for l.
0
Suppose -2*p = 2*j + 8, -4*j + 29 = -2*p - 3*p. Let g be (-1 + j)*(-10)/40. Suppose -m = -5, -5*r + 4 = 2*m - 6. Solve -3*q + r*q = g for q.
0
Suppose -5*d + 5*y = 0, 0*d - 3*y + 5 = -2*d. Suppose -h - 3*h + 3*s + 35 = 0, 5*h + s = 39. Solve 33 - h = -d*l for l.
-5
Suppose 4 = -2*v, n - 4 = 7*v - 11*v. Let a(h) = -h - 11. Let g be a(0). Let j = g + n. Solve 2*l = j + 5 for l.
3
Suppose -16 = 5*m + 4, 3*x = 3*m + 18. Solve -1 = x*i + 1 for i.
-1
Let f = -3 + 13. Suppose -3*q - 14 = f. Let z(u) = -u**2 - 7*u + 11. Let h be z(q). Solve 2*t + h = 1 for t.
-1
Let c = 707 + -707. Solve 7*d + c*d = 14 for d.
2
Suppose -3*n = -5*n - 2. Let q be n + (-4 - -9) - 0. Suppose i + s = 0, -11 - 1 = q*s. Solve 2*x = i*x - 1 for x.
1
Suppose -2*q = -o + 2, 2*o = -5*q + 8 - 22. Let a be (o - (-3 - -1))/1. Solve -3*l - 6 = -a*l for l.
-2
Suppose -4*h + 17 = 5. Solve h = -64*f + 63*f for f.
-3
Let f = 412 + -406. Let o be 11 + 0 - (-4 + 7). Solve -f*g + 2*g = o for g.
-2
Let f = 146 + -140. Solve -4*y = -f*y for y.
0
Suppose 0 = 9*w - 0*w - 117. Solve -8*v - 5 + w = 0 for v.
1
Let r(s) = 8*s**2 + 3*s - 2. Let z be r(2). Let q be 24/z*(-15)/(-2). Suppose 5*a + 0*a - 13 = 4*n, -q*n = -5*a + 15. Solve -2*k = 3 - a | {
"pile_set_name": "DM Mathematics"
} |
= -139 + 141. Put s, -5, 6, -4 in increasing order.
-5, -4, s, 6
Let d = 22 - 20. Let q(i) = 4*i + 85. Let f be q(-26). Sort f, d, 0.
f, 0, d
Let h = 4.6 + -5.1. Sort 5, 0.2, h, -1/4 in decreasing order.
5, 0.2, -1/4, h
Let g = 4208 - 4206. Suppose 4*d = -0*d + 4. Sort 5, -1, g, d in descending order.
5, g, d, -1
Let q = -1621 - -1621.1. Sort 3/5, -3/11, q in ascending order.
-3/11, q, 3/5
Let p be (0 + 1)/((16/(-24))/2). Let j(u) = u**3 + 7*u**2 - 9*u - 12. Let x be j(-8). Sort -8, p, x, -5 in decreasing order.
p, x, -5, -8
Let i = -1.3 + -7.7. Let c = -13.0302 - -0.0302. Let g = c - i. Sort g, -0.06, 1 in decreasing order.
1, -0.06, g
Suppose -9*j - 5 = 13. Let c = 2 + -7. Put j, c, -1 in decreasing order.
-1, j, c
Let q = 2.69 - 2.69. Put -4, 2/37, q, -3/7 in decreasing order.
2/37, q, -3/7, -4
Let w(f) = f**3 - 4*f**2 + 1. Let v be w(4). Let d(i) = -i - 2. Let c be d(-5). Let u(t) = t - 4. Let j be u(c). Put 2, j, v in decreasing order.
2, v, j
Let w = -1.08 + 0.08. Let l(p) = 21*p - 146. Let i be l(7). Sort i, 3, w in descending order.
3, i, w
Let l = 0.08411 - 164.19411. Let z = -165 - l. Let s = z - 0.11. Put s, 2, -4 in ascending order.
-4, s, 2
Let z be -1 + (20/(-14) - -2) - 0. Let o = -22 - -17. Let n = 0.3 - -4.7. Put o, n, z in ascending order.
o, z, n
Let o = 1.66 - 0.56. Let c be (-2)/14*(7 + -3). Put o, c, -0.2 in increasing order.
c, -0.2, o
Let n(d) = d - 2. Let v be n(2). Let i be (-8 - -7)*3/(-5)*20. Sort -1/7, i, 3, v in decreasing order.
i, 3, v, -1/7
Let l = -0.811 + 0.711. Let c = -28 + 28.11. Let i = c - -7.89. Sort 0, i, l in descending order.
i, 0, l
Let o = -152 - -153. Sort o, -73, 2, 0 in increasing order.
-73, 0, o, 2
Let w = 633 + -635. Put w, -1/2, -0.1 in descending order.
-0.1, -1/2, w
Let a = -0.006 + -5.994. Let d = a + 2. Put 1, 0, -0.4, d in descending order.
1, 0, -0.4, d
Let z = 55/2 + -377/14. Let k = 78 - 5305/68. Let m = k + -101/68. Sort -0.3, m, z in ascending order.
m, -0.3, z
Let v = -164 - -266. Let s = v - 101.7. Let l be (-1 + 3)/(-12)*-2. Sort l, s, 0.1.
0.1, s, l
Suppose 3*k + 2 = -a - 0*k, -5*k - 10 = -5*a. Let b be (2 - 1)*a/4. Put -1, b, 3/2 in descending order.
3/2, b, -1
Suppose 0*n - 2 = -n. Suppose -n*z = -6, -4*y + 4*z = 6 + 10. Let u = -1.86 + -6.14. Sort u, y, 5 in increasing order.
u, y, 5
Let r be (-22)/55 + (-272)/(-30). Sort -1/3, r, -3 in increasing order.
-3, -1/3, r
Let f = -434 - -437. Let w(s) be the second derivative of s**5/20 - s**4/4 + s**3/6 + s**2/2 - s. Let z be w(3). Sort f, z, -0.09 in decreasing order.
z, f, -0.09
Suppose 2*w + 2*j = 6, -4*j + 6 = -w - 6. Let f be 0 - 1 - (4 + w). Suppose 3*s + 89 - 77 = 0. Put s, 3, f in decreasing order.
3, s, f
Let f = -9 - -4. Suppose 3*u - 62*p + 67*p = 32, 0 = -u + 2*p - 4. Sort 0, u, f, 2 in descending order.
u, 2, 0, f
Suppose -4*a + 5 = -2*l - 21, 5*l = -5*a + 10. Let i be (16/(-3))/(-4)*(-27)/198. Let k = 1708/15 + -114. Sort l, i, k in increasing order.
l, i, k
Let j(c) be the second derivative of -c**5/10 - c**3/6 + 2*c. Let a be j(1). Let r = -335 - -1337/4. Sort 0, a, r in increasing order.
a, r, 0
Let l(s) = -s**2 + 11*s - 6. Let y be l(13). Let a = 32 + y. Sort a, -1, -3, -2/5 in descending order.
a, -2/5, -1, -3
Let d = 33.2 + -33.1. Put 0.2, -5, d in ascending order.
-5, d, 0.2
Let f = -13/165 + -4/33. Let q = 0.1 + -1.1. Let l = -18/5 + 87/20. Sort l, q, f in ascending order.
q, f, l
Let a be (2/4)/(1/(-10)). Suppose -o = l - 23, -15*o + 20*o - 2*l = 87. Put -3, o, a in increasing order.
a, -3, o
Suppose -d = r + 2*d + 8, 4 = r - 3*d. Let s(i) = i**3 - 2*i**2 - 4. Let m be s(3). Sort m, 0, r in ascending order.
r, 0, m
Let c be (2/(-28))/(-1*3/12). Let s = -20.009 - -0.009. Let p = -17 - s. Put c, p, 4 in increasing order.
c, p, 4
Let c = 15 + -38. Let r = c - -26. Sort r, 1, 5, -2/7.
-2/7, 1, r, 5
Suppose -18 = 5*b - d - 3, -2*d = 0. Let y be (-3)/(-5)*(0 + -2 + b). Sort 3, 5, y, 0 in decreasing order.
5, 3, 0, y
Let p = -4.31 + 193.31. Let k = 184 - p. Let j = 0.02 - 2.02. Put 2/5, j, k in increasing order.
k, j, 2/5
Let s = 63 - 65. Put s, 8, -48 in descending order.
8, s, -48
Let s be (-55)/(-20) + 9/(-12). Sort 15, s, -1 in decreasing order.
15, s, -1
Let p(c) = -c**3 - 6*c**2 + c - 7. Let h be p(-7). Let o = h + -33. Put -6, -5, o in descending order.
o, -5, -6
Let l(s) = -2*s**3 - 70*s**2 + 74*s + 74. Let h be l(-36). Sort 1, 127, h in decreasing order.
127, h, 1
Let q be -3 + 3 - 8 - -10. Put -4, q, 14, 3 in descending order.
14, 3, q, -4
Let j(c) = 9*c**2 - 3*c + 4. Let i be j(1). Suppose 0 = -8*r + i*r. Put -2, 5, r in descending order.
5, r, -2
Let x be -1 - (-1 + 4/(-2)). Let r(g) = 3*g - 1. Let u be r(9). Let y = u - 21. Sort 4, x, y.
x, 4, y
Let k be 4 + 1 - 0/(-1). Let o(f) = -f - 10. Suppose -4*v = 5*d + 73, -12 = -v - 3*d - 39. Let u be o(v). Put u, 1, k in decreasing order.
k, u, 1
Let b = -959.3 - -959. Sort 2.1, b, 5, 1/2 in ascending order.
b, 1/2, 2.1, 5
Suppose 156 = -2*j + n + 3*n, 5*j + 2*n = -450. Sort j, 7, -2 in descending order.
7, -2, j
Let o = -6.2 - -6. Let q be ((-90)/(-27))/(16/24). Sort 0.2, q, -0.1, o in decreasing order.
q, 0.2, -0.1, o
Let i = -445 - -444. Let v(f) = -2*f - 6. Let p be v(-5). Put p, i, -3 in increasing order.
-3, i, p
Let p = 0.05 + -8.05. Let y = p + 10. Let s = -3 + y. Put s, -4, 1/2 in descending order.
1/2, s, -4
Let b be (52/(-130))/((-4)/(-10)). Sort b, -3, 3, 5 in decreasing order.
5, 3, b, -3
Let s = -648 + 647. Sort 3, 0, 1, s in decreasing order.
3, 1, 0, s
Suppose -5*y = -20, 24 = 4*s + 5*y - 4*y. Let m = 72 - 66. Suppose m*t + 9 = -9. Put 7, s, t in decreasing order.
7, s, t
Let r(p) = p**2 + 7*p - 15. Let h be r(-9). Put -6, 5, 4, h in ascending order.
-6, h, 4, 5
Let h = 4 - 2. Let j be (-17)/5 - h/(-5). Let k(t) = 751*t - 5. Let y be k(0). Sort -2, y, j in descending order.
-2, j, y
Suppose 9*l - 26*l + 136 = 0. Put l, 3, -5, -3 in increasing order.
-5, -3, 3, l
Let j be (-65)/(-40) + (-3)/(-6). Let l be 3/6 + 30/(-16). Let k = l + j. Sort 2, k, -0.5.
-0.5, k, 2
Let g(p) = p**3 + 10*p**2 + 18*p + 20. Let h be g(-8). Put h, 5, 68 in decreasing order.
68, 5, h
Let d be (6 - ((-12)/6)/(-1)) + -2. Sort -2, 3, d, -9.
-9, -2, d, 3
Let z be (-105)/525 + (-11)/(-5). Let j be 2/2*(3 - 2). Put j, z, -5, 4 in decreasing order.
4, z, j, -5
Suppose 4*q + 31 = -4*z - 1, 0 = -5*q - 15. Let d be (1 - -3)/(-33 + 35). Sort d, z, 4 in decreasing order.
4, d, z
Let i = -77.3 + 77. Put i, -15, 8 in descending order.
8, i, -15
Let x = 696 - 701. Sort 3, x, 94 in ascending order.
x, 3, 94
Let u(o) be the second derivative of -o**5/20 + o**4/4 + 5*o**3/6 + o**2/2 - 5*o. Let t be u(4). Let y = t + -7. Sort -3, -5, y in increasing order.
-5, -3, y
Let b = 214 - 1068/5. Sort -1/5, 5, -3, b in descending order.
5, b, -1/5, -3
Let h be (-12 - (-5 - 0)) + -2. Put h, -3, 1, 4 in decreasing order.
4, 1, -3, h
Let n(t) = -t**3 + 5*t**2 - 12*t + 17. Let o be n(3). Suppose m - 7*m + 30 = 0. Sort -2, o, m in increasing order.
-2, o, m
Let p = 190 + -189. Put -3, 4, p, 0 in decreasing order.
4, p, 0, -3
Let g = 740 - 739.6. Sort 0.5, -5, 6, g in ascending order.
-5, g, 0.5, 6
Suppose 5*c - 4*j + 25 = 0, -5*c = 5*j - 8*j + 20. Sort 24, 5, c in descending order.
24, 5, c
Let v = 0.6 - 0.23. Let u = 0.03 + v. Put 1/5, u, -9 in ascending order.
-9, 1/5, u
Let a = -3221 + 35379/11. Sort 1, 3, a in decreasing order.
3, 1, a
Let a(y) = 9*y + 165. Let b be a(-18). Sort 2, -117, b, -4 in ascending order.
-117, -4, 2, b
Suppose 27*d - 407 = 45*d - 29*d. Suppose 2*g - 4*j = 10, g - 4*g + 2*j - 5 = 0. Sort g, d, -3 in decreasing order.
d, -3, g
Suppose -c - 3 = -r - 6*c, 0 = -4*r + 3*c - 11. Sort -3, r, 18 in decreasing order.
18, r, -3
Let r = 253 + -250. Put r, 0, 24, -5 in descending order.
24, r, 0, -5
Suppose 12 = -4*c + c. Let f be 28/6*3/(-2). Let v = -8 - f. Put v, 4, c in descending order.
4, v, c
Let r = -6 + 6.4. Let q be 0 + -3 + 10 + 6. Let x = 16 - q. Sort x, r, -0.1 in descending order.
x, r, -0.1
Suppose 5*q = -20, -5*r + 3*q + 451 = 379. Sort -25, -2, r, 2/21 in decreasing order.
r, 2/21, -2, -25
Let x = 0.2 - 0.2. Let m = -301 - -151. Let i = m + 150.4. Put 0.5, x, i in descending order.
0.5, i, x
Let d = -35 + 41. Suppose 0*r + 4*r + 20 = 0. Sort r, 1, d in increasi | {
"pile_set_name": "DM Mathematics"
} |
, 281, 497, 731, 989, 1277, 1601, 1967?
m**3 + 197*m - 121
What is the i'th term of -2315, -4635, -6955, -9275, -11595, -13915?
-2320*i + 5
What is the f'th term of 3811, 7548, 11285, 15022, 18759, 22496?
3737*f + 74
What is the n'th term of -10142, -81145, -273866, -649163, -1267894?
-10143*n**3 - n**2 + n + 1
What is the s'th term of -516, -350, -184?
166*s - 682
What is the c'th term of -101576, -406311, -914202, -1625249, -2539452, -3656811?
-101578*c**2 - c + 3
What is the z'th term of -2134714, -2134724, -2134744, -2134780, -2134838, -2134924?
-z**3 + z**2 - 6*z - 2134708
What is the g'th term of 604, 1042, 1480?
438*g + 166
What is the h'th term of -42240, -42241, -42242, -42243, -42244, -42245?
-h - 42239
What is the b'th term of -494, -1161, -1968, -2915?
-70*b**2 - 457*b + 33
What is the p'th term of -3496, -6928, -10360?
-3432*p - 64
What is the z'th term of 58537, 117046, 175555, 234064, 292573?
58509*z + 28
What is the q'th term of -6012, -6022, -6032, -6042, -6052?
-10*q - 6002
What is the p'th term of -1805, -7489, -16961, -30221?
-1894*p**2 - 2*p + 91
What is the q'th term of 1791064, 1791065, 1791066, 1791067?
q + 1791063
What is the p'th term of 1106, 2214, 3318, 4418, 5514?
-2*p**2 + 1114*p - 6
What is the s'th term of 8767, 8780, 8797, 8818, 8843, 8872, 8905?
2*s**2 + 7*s + 8758
What is the t'th term of -4950, -3556, -2160, -762?
t**2 + 1391*t - 6342
What is the w'th term of 85, 185, 285, 385?
100*w - 15
What is the l'th term of 145679, 145661, 145643, 145625?
-18*l + 145697
What is the f'th term of 5661, 5896, 6131, 6366?
235*f + 5426
What is the x'th term of -308, -238, -42, 346, 992, 1962, 3322, 5138?
11*x**3 - 3*x**2 + 2*x - 318
What is the g'th term of 292, 563, 1014, 1645, 2456, 3447?
90*g**2 + g + 201
What is the h'th term of 61155, 61156, 61157?
h + 61154
What is the j'th term of -1191975, -1191980, -1191987, -1191996, -1192007, -1192020?
-j**2 - 2*j - 1191972
What is the v'th term of 12, -24, 50, 288, 744, 1472, 2526?
9*v**3 + v**2 - 102*v + 104
What is the d'th term of 930, 1820, 2656, 3432, 4142, 4780, 5340?
-d**3 - 21*d**2 + 960*d - 8
What is the v'th term of 15, 69, 175, 339, 567, 865?
v**3 + 20*v**2 - 13*v + 7
What is the a'th term of -2970, -23449, -79038, -187293, -365770, -632025, -1003614, -1498093?
-2926*a**3 + a**2 - 45
What is the w'th term of 6817, 13614, 20425, 27256, 34113, 41002, 47929?
w**3 + w**2 + 6787*w + 28
What is the d'th term of 2316, 2302, 2284, 2262, 2236, 2206, 2172?
-2*d**2 - 8*d + 2326
What is the o'th term of -313, -149, 15?
164*o - 477
What is the w'th term of -2309, -2328, -2347, -2366, -2385, -2404?
-19*w - 2290
What is the k'th term of 68981, 137953, 206911, 275849, 344761, 413641, 482483, 551281?
-k**3 - k**2 + 68982*k + 1
What is the n'th term of 4024, 8069, 12114, 16159?
4045*n - 21
What is the g'th term of -136294, -272590, -408886?
-136296*g + 2
What is the i'th term of 2720, 2421, 2122, 1823, 1524?
-299*i + 3019
What is the j'th term of 39541, 79097, 118665, 158239, 197813, 237381?
-j**3 + 12*j**2 + 39527*j + 3
What is the v'th term of 90288, 90296, 90314, 90348, 90404?
v**3 - v**2 + 4*v + 90284
What is the c'th term of -83, -177, -335, -557?
-32*c**2 + 2*c - 53
What is the j'th term of 597, 735, 873, 1011?
138*j + 459
What is the t'th term of -2737, -4070, -5403, -6736, -8069, -9402?
-1333*t - 1404
What is the p'th term of 2107, 8675, 19623, 34951, 54659, 78747, 107215?
2190*p**2 - 2*p - 81
What is the s'th term of -22469, -44931, -67397, -89867, -112341, -134819, -157301?
-2*s**2 - 22456*s - 11
What is the l'th term of -33, -93, -139, -135, -45, 167, 537?
6*l**3 - 29*l**2 - 15*l + 5
What is the o'th term of -72856, -72851, -72846, -72841, -72836?
5*o - 72861
What is the x'th term of 634, 1253, 1866, 2473, 3074?
-3*x**2 + 628*x + 9
What is the c'th term of -1474, -2221, -2946, -3637, -4282, -4869, -5386, -5821?
2*c**3 - c**2 - 758*c - 717
What is the i'th term of -22, 60, 286, 728, 1458, 2548, 4070, 6096?
12*i**3 - 2*i - 32
What is the t'th term of -1200, -1155, -1078, -969, -828, -655?
16*t**2 - 3*t - 1213
What is the b'th term of 579, 587, 597, 609?
b**2 + 5*b + 573
What is the i'th term of -1615, -3195, -4775, -6355, -7935, -9515?
-1580*i - 35
What is the k'th term of 46, 300, 1052, 2554, 5058, 8816?
42*k**3 - 3*k**2 - 31*k + 38
What is the v'th term of -140551, -281086, -421609, -562114, -702595, -843046, -983461, -1123834?
v**3 - 140542*v - 10
What is the l'th term of 549, 550, 533, 498, 445, 374?
-9*l**2 + 28*l + 530
What is the b'th term of -375269, -375259, -375243, -375221, -375193, -375159?
3*b**2 + b - 375273
What is the z'th term of 218, 745, 1580, 2723, 4174, 5933?
154*z**2 + 65*z - 1
What is the z'th term of -4266, -17056, -38370, -68208, -106570, -153456, -208866?
-4262*z**2 - 4*z
What is the i'th term of -618, -2467, -5554, -9885, -15466?
-i**3 - 613*i**2 - 3*i - 1
What is the x'th term of -31, -240, -579, -1042, -1623?
x**3 - 71*x**2 - 3*x + 42
What is the u'th term of -1166, 508, 3290, 7174, 12154?
-u**3 + 560*u**2 + u - 1726
What is the v'th term of -662863, -1325728, -1988593?
-662865*v + 2
What is the g'th term of 399, 2981, 9983, 23613, 46079, 79589?
368*g**3 + 2*g**2 + 29
What is the y'th term of -19198, -19161, -19092, -18985, -18834?
y**3 + 10*y**2 - 19209
What is the m'th term of 83440, 333766, 750976, 1335070?
83442*m**2 - 2
What is the t'th term of 158113, 158112, 158101, 158074, 158025, 157948?
-t**3 + t**2 + 3*t + 158110
What is the m'th term of 2057, 4148, 6299, 8540, 10901?
5*m**3 + 2056*m - 4
What is the i'th term of -271138, -542289, -813440, -1084591?
-271151*i + 13
What is the y'th term of 243090, 243089, 243088, 243087, 243086, 243085?
-y + 243091
What is the u'th term of 4950, 9967, 15038, 20157, 25318, 30515?
-u**3 + 33*u**2 + 4925*u - 7
What is the w'th term of -28390, -56780, -85170, -113560, -141950, -170340?
-28390*w
What is the z'th term of 43, 118, 263, 478?
35*z**2 - 30*z + 38
What is the l'th term of 1459, 2917, 4375, 5833, 7291?
1458*l + 1
What is the f'th term of -13796, -13798, -13804, -13814, -13828?
-2*f**2 + 4*f - 13798
What is the q'th term of -166, -522, -1078, -1834, -2790, -3946, -5302?
-100*q**2 - 56*q - 10
What is the c'th term of -404, -1678, -3824, -6860, -10804, -15674?
-3*c**3 - 418*c**2 + c + 16
What is the d'th term of 73, 312, 725, 1318, 2097, 3068, 4237, 5610?
d**3 + 81*d**2 - 11*d + 2
What is the a'th term of -19511, -19510, -19509?
a - 19512
What is the c'th term of 1130, 1045, 946, 827, 682?
-c**3 - c**2 - 75*c + 1207
What is the p'th term of -57329, -57311, -57293, -57275, -57257, -57239?
18*p - 57347
What is the m'th term of 9089, 8942, 8795, 8648?
-147*m + 9236
What is the u'th term of -6464, -13050, -19638, -26228, -32820?
-u**2 - 6583*u + 120
What is the p'th term of 2996, 5997, 8998, 11999, 15000?
3001*p - 5
What is the j'th term of 92767, 185521, 278275, 371029?
92754*j + 13
What is the p'th term of -726, -2961, -6684, -11895, -18594?
-744*p**2 - 3*p + 21
What is the j'th term of 391, 449, 501, 547?
-3*j**2 + 67*j + 327
What is the h'th term of 3435, 2967, 2193, 1119, -249?
h**3 - 159*h**2 + 2*h + 3591
What is the g'th term of 15350, 15349, 15348, 15347, 15346, 15345?
-g + 15351
What is the d'th term of -91, -205, -339, -499, -691, -921?
-d**3 - 4*d**2 - 95*d + 9
What is the n'th term of -124, -229, -316, -373, -388, -349, -244?
2*n**3 - 3*n**2 - 110*n - 13
What is the q'th term of -278497, -556992, -835487?
-278495*q - 2
What is the z'th term of 5273, 5282, 5291, 5300, 5309?
9*z + 5264
What is the v'th term of -459890, -459884, -459888, -459908, -459950?
-v**3 + v**2 + 10*v - 459900
What is the d'th term of 162, 89, 16, -57?
-73*d + 235
What is the z'th term of 28053, 28046, 28035, 28020, 28001, 27978?
-2*z**2 - z + 28056
What is the t'th term of -8, 73, 162, 265, 388, 537?
t**3 - 2*t**2 + 80*t - 87
What is the o'th term of -2524, -4382, -6240, -8098?
-1858*o - 666
What is the m'th term of -1900, -1904, -1906, -1906, -1904, -1900?
m**2 - 7*m - 1894
What is the u'th term of 281, 202, 123, 44?
-79*u + 360
What is the i'th term of -603, -1195, -1861, -2637, -3559?
-6*i**3 - i**2 - 547*i - 49
What is the u'th term of 11780, 23569, 35358, 47147, 58936, 70725?
11789*u - 9
What is the u'th term of 43 | {
"pile_set_name": "DM Mathematics"
} |
t comes next: -330681, -330679, -330677, -330675?
-330673
What is the next term in 23, 95, 261, 575, 1091, 1863, 2945, 4391?
6255
What is the next term in -591, -820, -1047, -1272?
-1495
What is the next term in 172, 215, 260, 301, 332?
347
What is next in 119711, 119709, 119707, 119705, 119703, 119701?
119699
What is the next term in -19140, -19152, -19174, -19206, -19248, -19300, -19362?
-19434
What is next in -3116, -6280, -9444, -12608?
-15772
What is the next term in -141205, -141206, -141207, -141208, -141209?
-141210
What is next in -656, -2594, -5788, -10208, -15824, -22606, -30524, -39548?
-49648
What is next in -768, -3179, -7212, -12867?
-20144
What is next in -136961, -547839, -1232635, -2191349, -3423981, -4930531?
-6710999
What is next in -12523, -25048, -37573, -50098, -62623, -75148?
-87673
What is the next term in 11516, 11506, 11498, 11498, 11512, 11546, 11606, 11698?
11828
What comes next: -2950, -2927, -2904?
-2881
What is next in -635, -5191, -17559, -41645, -81355, -140595, -223271, -333289?
-474555
What comes next: 584, 666, 730, 770, 780, 754, 686?
570
What is next in 84, 525, 1696, 3963, 7692?
13249
What is the next term in -77, 200, 475, 748?
1019
What is the next term in 2600, 5057, 7512, 9965, 12416?
14865
What is next in 652, 1306, 1962, 2620, 3280, 3942, 4606?
5272
What comes next: 619804, 1239608, 1859412, 2479216, 3099020?
3718824
What is next in 1194, 5469, 12600, 22593, 35454?
51189
What is next in -260, -388, -508, -620, -724, -820, -908?
-988
What comes next: -1158, -1237, -1322, -1413?
-1510
What is next in 29822, 29832, 29842, 29852, 29862?
29872
What is next in 155, 518, 881, 1244, 1607?
1970
What is the next term in -4282, -4299, -4318, -4339, -4362?
-4387
What comes next: 253686, 507366, 761044, 1014720?
1268394
What comes next: 1046, 4110, 9224, 16394, 25626?
36926
What is next in -75, 1008, 2811, 5334, 8577, 12540, 17223?
22626
What comes next: -1507, -1572, -1637, -1702?
-1767
What is the next term in -13347, -13301, -13225, -13119?
-12983
What is the next term in -189, -323, -397, -411?
-365
What is the next term in 142, 364, 586, 808, 1030?
1252
What is next in 265, 385, 695, 1285, 2245?
3665
What comes next: 9520, 9666, 9910, 10252, 10692, 11230?
11866
What is the next term in -418, -3270, -10994, -26026, -50802, -87758?
-139330
What is the next term in 870744, 870743, 870742, 870741, 870740?
870739
What is next in 32, -36, -152, -316, -528, -788?
-1096
What comes next: -815, -1846, -3099, -4580, -6295, -8250?
-10451
What is the next term in -33021, -66042, -99063, -132084?
-165105
What is next in 0, 111, 222, 333, 444, 555?
666
What is next in -96104, -192198, -288284, -384362, -480432?
-576494
What is the next term in 10418, 20648, 30878, 41108?
51338
What is next in -221, -453, -711, -1007, -1353, -1761, -2243, -2811?
-3477
What is next in 2532, 5086, 7640?
10194
What is next in -996, -1000, -1008, -1020, -1036?
-1056
What is next in -31497, -31498, -31497, -31494?
-31489
What is next in -4173, -4259, -4385, -4551, -4757, -5003, -5289?
-5615
What is the next term in -599, -888, -1199, -1544, -1935?
-2384
What is the next term in -1330, -2642, -3950, -5254, -6554, -7850?
-9142
What is next in -41818, -41814, -41810, -41806, -41802, -41798?
-41794
What is next in 134928, 134918, 134906, 134892, 134876?
134858
What comes next: 795, 1601, 2407, 3195, 3947, 4645, 5271, 5807?
6235
What is next in -38579, -38609, -38639?
-38669
What is the next term in 242, 223, 204, 185, 166, 147?
128
What comes next: 2914, 2946, 3004, 3100, 3246, 3454, 3736, 4104?
4570
What is next in 10822, 21640, 32468, 43312, 54178?
65072
What comes next: 943944, 1887882, 2831820, 3775758?
4719696
What is the next term in 28865, 57717, 86569, 115421, 144273?
173125
What is the next term in 2441889, 4883776, 7325663, 9767550, 12209437, 14651324?
17093211
What comes next: -39184, -78381, -117578?
-156775
What is next in -96, -548, -1760, -4110, -7976?
-13736
What is the next term in -1762, -1470, -1186, -910?
-642
What is the next term in 546, 542, 556, 600, 686, 826, 1032?
1316
What is next in 41032, 41026, 41020, 41014?
41008
What is next in 2168, 2151, 2152, 2183, 2256, 2383, 2576?
2847
What is the next term in 315, 2595, 8793, 20871, 40791, 70515?
112005
What is next in 624, 1271, 1934, 2613?
3308
What is next in -899278, -899279, -899280, -899281, -899282?
-899283
What is the next term in 1206, 1208, 1210?
1212
What is the next term in -876, -877, -878, -879, -880?
-881
What is next in -270, -274, -294, -336, -406, -510, -654, -844?
-1086
What is next in 108594, 108595, 108604, 108627, 108670, 108739, 108840?
108979
What comes next: -48, -121, -212, -327, -472, -653?
-876
What is the next term in 1016, 2024, 3024, 4016?
5000
What comes next: 65, 67, 55, 23, -35, -125, -253?
-425
What comes next: -11372, -22767, -34168, -45575?
-56988
What is next in 676, 541, 318, 7?
-392
What is next in -272609, -272628, -272647, -272666?
-272685
What is the next term in -50, -156, -322, -548, -834, -1180?
-1586
What is the next term in 187396, 187384, 187372, 187360, 187348, 187336?
187324
What comes next: -17, 87, 275, 547?
903
What comes next: -2227, -8978, -20265, -36088, -56447, -81342?
-110773
What is the next term in 21595, 43183, 64771, 86359?
107947
What comes next: -4401, -8804, -13207, -17610, -22013, -26416?
-30819
What is the next term in 873, 1969, 3797, 6357, 9649, 13673, 18429?
23917
What is the next term in 206, 824, 1834, 3218, 4958?
7036
What is the next term in 1872, 7524, 16970, 30210, 47244, 68072?
92694
What is next in -1751, -1747, -1737, -1721?
-1699
What is next in -1581, -1462, -1265, -990, -637, -206?
303
What is next in 1790, 3575, 5358, 7139, 8918, 10695?
12470
What comes next: -388, -3571, -12178, -28909, -56464?
-97543
What is next in 216030, 216038, 216050, 216066, 216086, 216110?
216138
What comes next: -248, -693, -1138, -1583, -2028, -2473?
-2918
What is the next term in -141, -261, -357, -429, -477, -501, -501?
-477
What is next in -74, -163, -246, -323?
-394
What is the next term in -6524, -13046, -19568?
-26090
What is the next term in -220, -1391, -4566, -10747, -20936, -36135?
-57346
What is the next term in 8639, 34573, 77799, 138317, 216127, 311229?
423623
What is the next term in 4017, 7883, 11735, 15567, 19373, 23147, 26883, 30575?
34217
What is the next term in -48561, -48585, -48609, -48633, -48657, -48681?
-48705
What is next in -4972, -5032, -5098, -5170, -5248, -5332?
-5422
What comes next: -175, -503, -989, -1633?
-2435
What is next in -62, -561, -1388, -2537, -4002, -5777, -7856, -10233?
-12902
What is the next term in -3125, -12479, -28069, -49895, -77957, -112255?
-152789
What comes next: 3, 28, 51, 60, 43?
-12
What comes next: 359667, 359683, 359701, 359721, 359743, 359767?
359793
What is next in 178780, 178779, 178778, 178777, 178776?
178775
What is next in -43047, -86093, -129139, -172185, -215231, -258277?
-301323
What is the next term in 290, 304, 326, 356?
394
What is next in -38, 22, 172, 406, 718, 1102?
1552
What is next in 7452, 14901, 22352, 29805?
37260
What is next in -83, -350, -679, -1058, -1475, -1918, -2375?
-2834
What is next in -251, -714, -1495, -2594, -4011?
-5746
What is the next term in 12783, 12774, 12761, 12744, 12723?
12698
What is next in -3013, -6082, -9185, -12340, -15565, -18878?
-22297
What is the next term in 16734, 16680, 16626, 16572, 16518?
16464
What is the next term in -141, -612, -1083, -1554, -2025?
-2496
What is next in -24688, -49396, -74126, -98878, -123652, -148448, -173266?
-198106
What is next in -4, 3, -34, -133, -312, -589, -982?
-1509
What comes next: 7117, 13130, 19157, 25204, 31277?
37382
What comes next: -85237, -85244, -85251, -85258?
-85265
What comes next: -2878458, -2878456, -2878454, -2878452, -2878450, -2878448?
-2878446
What is next in -55, -186, -415, -748, -1191, -1750, -2431, -3240?
-4183
What is next in 9078, 9087, 9106, 9141, 9198, 9283?
9402
What is next in -1057, -1012, -953, -874, -769?
-632
What comes next: 346, 536, 704, 838, 926, 956?
916
What is next in -23, -129, -305, -569, -939, -1433, -2069, -2865?
-3839
What is next in 37, 86, 159, 250, 353, 462?
571
What comes next: 418, 789, 1106, 1363, 1554?
1673
What comes n | {
"pile_set_name": "DM Mathematics"
} |
14. Calculate the remainder when 62 is divided by g(4).
29
Suppose 0 = 2*x - f - 18, f + 1 = -x + 16. Calculate the remainder when 229 is divided by x.
9
Let l(z) = 2 - 1 - 5 - 4*z - 2. Let d(v) = -1. Let c(r) = -4*d(r) + l(r). What is the remainder when 7 is divided by c(-1)?
1
Suppose 69*v - 1458 + 9 = 0. Let s = -3 - -9. Calculate the remainder when v is divided by s.
3
Suppose 0 = 2*k - 7*k + 35. Let m(j) = 3*j - 12. Calculate the remainder when (1 - -1) + 11 + 20 is divided by m(k).
6
Suppose 17*g - 13*g - 456 = 0. What is the remainder when g is divided by 25?
14
Suppose -3*v = i - 6, -2*i + 3*i - 2*v = -14. Let j(m) = 3*m + 30. Calculate the remainder when 59 is divided by j(i).
11
Suppose 6*a = 2*a + 272. Let o = 153 - 124. Suppose -z + 2*k + o = 0, -17 - 65 = -2*z - 4*k. What is the remainder when a is divided by z?
33
Let t be -4 + 1 - 1*-2. Let c = t + 5. Let g = 8 - -7. What is the remainder when g is divided by c?
3
Let w = -3 - -35. Let a(l) = l**3 - 10*l**2 - 2*l - 5. Calculate the remainder when a(11) is divided by w.
30
Suppose 0 = -5*l + 4*v + 267, 9*l + 2*v - 169 = 6*l. Calculate the remainder when 90 is divided by l.
35
Let v = 3 - -2. Let g(d) = d + 10. Let m(i) = -i - 9. Let z(j) = -6*g(j) - 7*m(j). What is the remainder when 14 is divided by z(v)?
6
Let b(g) = g**3 - 7*g**2 + 10*g + 2. Let x be b(5). Suppose 46 = x*c - 2. What is the remainder when 86 is divided by c?
14
Suppose 5*x + 2*x = 21. Suppose x*g - 5*c - 44 = 35, -3*c + 17 = g. Suppose 2*q = 112 - 24. What is the remainder when q is divided by g?
21
Let y be (-5)/(-10)*(1 + -1). Let x be (-3 - y)*(-12)/9. What is the remainder when 17 is divided by x/(-6)*(-60)/8?
2
Suppose k - 5*j - 212 - 207 = 0, -1271 = -3*k + j. What is the remainder when k is divided by 7?
4
Let g(k) be the third derivative of k**6/120 + k**5/12 + k**4/8 + 9*k**3/2 + 21*k**2. What is the remainder when 47 is divided by g(-5)?
11
Suppose 2*s - 48 = 10. Let h(x) = -31*x + 945. Calculate the remainder when s is divided by h(30).
14
Let i(s) = 4*s + 5*s**2 - 2 - 2*s**2 + 11*s + 2*s**2 - s**3. Calculate the remainder when i(6) is divided by 18.
16
Let c = -150 - -95. Let i = c + 108. Suppose -y - 4*g = -38, 49 = 3*y - 2*g + g. What is the remainder when i is divided by y?
17
Suppose 5 = -5*t - 4*h, 0 = -3*t - 2*t + 5*h + 40. Suppose -t*l + 2 = -7. What is the remainder when 6 is divided by l?
0
Suppose 5*l + 321 = -t + 5*t, 5*l = -2*t + 153. Calculate the remainder when t is divided by 26.
1
Let v(t) = 6*t**2 - 8*t + 5. What is the remainder when v(4) is divided by 25?
19
Suppose 83*l = -13*l + 16032. Calculate the remainder when l is divided by 6.
5
What is the remainder when (-145)/(-2)*((-12)/(-10))/3 is divided by 10?
9
Let x be (31 + (0 - 0))*(-1 + 2). Let m = 62 - x. What is the remainder when m is divided by 11?
9
Let k = 867 + -834. What is the remainder when 5 + -3 - (-93 - 1) is divided by k?
30
Suppose m + 9 = 43. Suppose -1 - 14 = -5*z. Suppose 5*a = -5*q + 35, 4*q = z*q - 2*a + 2. Calculate the remainder when m is divided by q.
10
Let k(a) = -3*a - 7 - 1 - 1. Let l = -365 + 355. What is the remainder when k(l) is divided by 8?
5
Suppose 0 = -4*b + b - 2*j + 4181, 2*b = -3*j + 2789. Calculate the remainder when b is divided by 31.
29
Suppose -3*x + 7*x - 5*g - 660 = 0, 2*x - 5*g = 340. What is the remainder when x is divided by 42?
34
Let t(d) = d**2 - 3*d + 1. Let r be t(3). Suppose h = r - 0. Suppose -2*o + 20 = 3*o. Calculate the remainder when o is divided by h.
0
Suppose -331 = -2*d + 229. Suppose 2*t + 2*t = d. What is the remainder when t is divided by 18?
16
Suppose b - 19 = 4*r + 16, 5*b + r = 112. What is the remainder when 79 is divided by b?
10
Suppose -b + 6 = -4. Suppose b*u - 9*u - 34 = 0. Calculate the remainder when u is divided by 7.
6
Suppose 0 = 5*o - 34 - 26. Suppose -q = -2 - 1. Calculate the remainder when q is divided by (o/(-21))/(8/(-28)).
1
Let q(o) = -53*o + 631. What is the remainder when q(10) is divided by 5?
1
Let g = -6 - -8. Suppose -g*i = -3*t + 3*i + 24, -4*i - 12 = 0. Suppose 4 = -4*j, n = 3*n + 4*j - 10. Calculate the remainder when n is divided by t.
1
Calculate the remainder when 58 is divided by (39 + -3)/(18/12).
10
Suppose 24 = 3*m + 4*t, 4 = 3*t + 13. What is the remainder when 3*4/m*130 is divided by 33?
31
Let y(m) = 2*m**3 - 3*m**2 - 3*m. Let c = 6 - -7. What is the remainder when y(3) is divided by c?
5
Let o be (-24)/((-12)/(-32)*4). Let h = -11 - o. Suppose -h*n = -r, r + 3*n - 11 = -3. What is the remainder when 19 is divided by r?
4
Let f = 6 + -4. Suppose -37 = f*i - 345. Suppose -y = -8*y + i. Calculate the remainder when 87 is divided by y.
21
Calculate the remainder when 552 is divided by (1554/(-35))/((-8)/20).
108
Suppose 13*t + 32 = i + 11*t, -4*i - t = -155. What is the remainder when 793 is divided by i?
33
Suppose 5*r = 9*r - 328. Let i = r + -59. What is the remainder when 87 is divided by i?
18
Suppose -5 = -5*u, h - 21 = -h - 5*u. Calculate the remainder when 2 + 123 - (17 + -11) is divided by h.
7
Let n = -19 - -22. Suppose 0 = n*g - 4*g + 25. Suppose -g = 2*y - 83. What is the remainder when y is divided by 16?
13
Let j(m) = -m**2 + 25*m - 71. What is the remainder when 96 is divided by j(6)?
10
Let u = 170 + -93. Calculate the remainder when u is divided by 4.
1
Suppose -o = 4*z + 3 - 17, -3*o + 21 = 5*z. Let j(i) = -3*i + 66. Let r be j(14). Suppose -17*m = -13*m - r. What is the remainder when m is divided by z?
0
Suppose 17*f - 56*f = -3354. What is the remainder when 103 is divided by f?
17
Let r = 264 - 188. Let h = r - -22. Calculate the remainder when h is divided by 33.
32
Let w = -167 + 191. Calculate the remainder when w is divided by 5.
4
Let j(t) = t**2 - 14*t - 12. Let x be j(14). Let h = -9 - x. Suppose -4*d = 4*z - 36, -h*d + 11 = -3*z - 16. What is the remainder when 43 is divided by d?
7
Suppose -15*t = -13*t - 16. Calculate the remainder when (-3)/(27/(-345)) - (-12)/(-36) is divided by t.
6
Suppose -2*g - 68 = -4*g - 5*s, 5*s = 20. Calculate the remainder when 31*-4*(-1 + (-7)/(-28)) is divided by g.
21
Let b = -1073 + 1104. Calculate the remainder when b is divided by 2.
1
Suppose 49*v + 24*v - 4964 = 0. What is the remainder when v is divided by 9?
5
Let n = 240 + -235. Calculate the remainder when 143 is divided by n.
3
Calculate the remainder when 2522 is divided by (-16)/40 + 1014/10.
98
Let r = 1174 - 1112. Let s(q) = 4*q - 7. What is the remainder when r is divided by s(5)?
10
Suppose 0 = -2*h - q - 3, 5*h - h + 4*q = -12. Suppose 2*j + 4*j - 108 = h. Calculate the remainder when 69 is divided by j.
15
Suppose 5*v = 4*v + 26. Let k = -12 + v. Calculate the remainder when k is divided by 3.
2
Let n = -75 - -181. Suppose u = 2*u - n. What is the remainder when u is divided by 27?
25
Let c(w) = -2*w**3 + 7*w**2 + 2*w + 9. Let i be c(4). Suppose 0 = 3*b - 4*v - 67, 2 = -v + i. What is the remainder when b is divided by 12?
9
Let h(o) = -2*o**2 - 4*o + 8. Let r be h(3). Let i = 30 + r. Calculate the remainder when i is divided by 3.
2
Let l(z) = z**3 + 6*z**2 - 2*z - 1. Let v be l(-4). Let t = v - 37. What is the remainder when 6 is divided by t?
0
Let d(h) = 5*h. Let y = 4 + 1. Suppose 25 = 7*o - 66. Calculate the remainder when d(y) is divided by o.
12
Let s = 71 + 83. Suppose b = -3*y + s, -198 = y - 5*y - 5*b. Calculate the remainder when y is divided by 9.
7
Let u(g) = g + 41. What is the remainder when 133 is divided by u(-7)?
31
Calculate the remainder when 46 is divided by 5/((-7)/(-3) - (9 - 7)).
1
Suppose -31*v + 224 = -23*v. Calculate the remainder when 137 is divided by v.
25
Let q(v) = -7*v - 5. Let n be q(-3). Let r = n + 11. Calculate the remainder when r is divided by 7.
6
Suppose 35*q - 28*q = 21. Calculate the remainder when 112 is divided by q.
1
Suppose -25 - 23 = -4*u. Suppose 4*b - 8*b = -u. Suppose p + a = 6, 6*p - a = b*p + 14. Calculate the remainder when 18 is divided by p.
3
Let r be -2 + (-8)/(-2) - -3. Let c(l) = 3*l - 11. Let j be c(r). Suppose j*s = s, 60 = 5*i - s. Calculate the remainder when 22 is divided by i.
10
Let o(x) = 5*x**2 - 3*x - 2. Let g be o(-1). Suppose g*i + 4*i = 140. What is the remainder when 26 is divided by i?
12
Suppose -7 + 3 = 2*y. Le | {
"pile_set_name": "DM Mathematics"
} |
rt -6/11, 103, 1.6, 6, -2.2, 0.4 in descending order.
103, 6, 1.6, 0.4, -6/11, -2.2
Sort -0.00818, 2, 3, -0.2 in descending order.
3, 2, -0.00818, -0.2
Sort -5, 6, -6, -2, -72 in increasing order.
-72, -6, -5, -2, 6
Put 0.4, -6, -355 in descending order.
0.4, -6, -355
Put 13, 12, 0, -2, 2, 1 in descending order.
13, 12, 2, 1, 0, -2
Sort 2, -118166, 1 in increasing order.
-118166, 1, 2
Put -5, 1, 0, -35252 in descending order.
1, 0, -5, -35252
Sort 247, 3, -11, -3, 0, 7 in decreasing order.
247, 7, 3, 0, -3, -11
Put 125/3, 6/11, 0, -0.1, 1/2 in descending order.
125/3, 6/11, 1/2, 0, -0.1
Sort 0, -7, 4, -119 in ascending order.
-119, -7, 0, 4
Sort 0.33, 3/10, 5, 4 in ascending order.
3/10, 0.33, 4, 5
Put 0.1, 0.043, -18 in ascending order.
-18, 0.043, 0.1
Sort -1, -2, 3, 23, 10, -372.
-372, -2, -1, 3, 10, 23
Put -1685, -16, -7 in decreasing order.
-7, -16, -1685
Sort -1, -3, 13, 5, 22, -71 in increasing order.
-71, -3, -1, 5, 13, 22
Sort 67, 41, -73/2 in decreasing order.
67, 41, -73/2
Put -7.8, 2/9, -1/4, -26 in decreasing order.
2/9, -1/4, -7.8, -26
Put 0, 2, -55, 1/3 in ascending order.
-55, 0, 1/3, 2
Put -2, -4, -1293, 1, 4 in decreasing order.
4, 1, -2, -4, -1293
Put -0.3, -1.5, 11.39 in descending order.
11.39, -0.3, -1.5
Put -0.081, 2.1, 0.02, 3 in ascending order.
-0.081, 0.02, 2.1, 3
Sort 5, 446, -1, 1, -6, -5 in increasing order.
-6, -5, -1, 1, 5, 446
Sort 528, -2, 0, 4, -8 in descending order.
528, 4, 0, -2, -8
Sort 2/3, 3, 0.456, 0.2, 1, -2/17 in descending order.
3, 1, 2/3, 0.456, 0.2, -2/17
Sort 2, -1, 0.5, 0.0378, 0.4.
-1, 0.0378, 0.4, 0.5, 2
Put -3, 1846, 3, 450 in ascending order.
-3, 3, 450, 1846
Put 52, -1/25, 87 in descending order.
87, 52, -1/25
Put 2, -3, -130, -1, 40, 7 in descending order.
40, 7, 2, -1, -3, -130
Put 0, -527, -4, -2, 1 in descending order.
1, 0, -2, -4, -527
Sort -4, -3, -1, 255 in ascending order.
-4, -3, -1, 255
Put -108, 3, -1, 3/2, -143 in decreasing order.
3, 3/2, -1, -108, -143
Sort 1/8, -7/4, -0.085, -0.02, 4 in increasing order.
-7/4, -0.085, -0.02, 1/8, 4
Sort 2514, -1, -3 in decreasing order.
2514, -1, -3
Sort 5/2, -19, -1.2, 1/7.
-19, -1.2, 1/7, 5/2
Put 0.1, -5, 2/7, 0.709, 2/5, -2 in decreasing order.
0.709, 2/5, 2/7, 0.1, -2, -5
Sort 2/11, 5, 0.5, 3, 0.11726 in ascending order.
0.11726, 2/11, 0.5, 3, 5
Put -2, -7, 5, -1, -5, 140 in descending order.
140, 5, -1, -2, -5, -7
Sort 0.019, 1/2, 0, -91, 4.
-91, 0, 0.019, 1/2, 4
Sort 408, -14.2, -2/11, 0.2 in increasing order.
-14.2, -2/11, 0.2, 408
Put 4, 366, -657 in descending order.
366, 4, -657
Sort 112, 5, 145 in decreasing order.
145, 112, 5
Sort 4, 1, -2, 3, -30, -4 in decreasing order.
4, 3, 1, -2, -4, -30
Sort 304, 0.3, -5, 100, 0 in ascending order.
-5, 0, 0.3, 100, 304
Sort -1, -39, -3118 in ascending order.
-3118, -39, -1
Sort -2, -32, 5, 26, 7.
-32, -2, 5, 7, 26
Put -8/5, 16, -5.2 in increasing order.
-5.2, -8/5, 16
Sort 0, -2, -3, 66, -81 in descending order.
66, 0, -2, -3, -81
Put -17, 0, -202 in descending order.
0, -17, -202
Sort -1904/3, 5, -5, 4, -2 in descending order.
5, 4, -2, -5, -1904/3
Put 0.04, 3/121, 4, -4 in ascending order.
-4, 3/121, 0.04, 4
Sort -2/11, -1/4, 5/8, 0.26, 13 in ascending order.
-1/4, -2/11, 0.26, 5/8, 13
Sort -0.2, 0.3, 1, 2/19, -442, 3 in descending order.
3, 1, 0.3, 2/19, -0.2, -442
Sort -3, -16, 23, -77.
-77, -16, -3, 23
Put -2, 11, 22, 1, -121 in decreasing order.
22, 11, 1, -2, -121
Put 9, 47884, 3, -1 in ascending order.
-1, 3, 9, 47884
Sort -4, 5666, 25.
-4, 25, 5666
Sort 3941, -4, -2 in increasing order.
-4, -2, 3941
Sort -10, -2, 12, 1/5, 0 in descending order.
12, 1/5, 0, -2, -10
Sort 4, 2, 7, -16, 5, -3 in decreasing order.
7, 5, 4, 2, -3, -16
Sort -0.4, 0.3, -0.19, 7, -115 in decreasing order.
7, 0.3, -0.19, -0.4, -115
Put 0, -2, 121, -40, -5 in decreasing order.
121, 0, -2, -5, -40
Put 8, 5911, 1, 6 in ascending order.
1, 6, 8, 5911
Sort -0.01, 1, -1, -11 in descending order.
1, -0.01, -1, -11
Sort -5, -34, 44 in decreasing order.
44, -5, -34
Put 3, -3, 10, -43802 in increasing order.
-43802, -3, 3, 10
Sort 1, 2/5, 2/7, -1047, -3 in descending order.
1, 2/5, 2/7, -3, -1047
Put -5, -19/60, 0.2, 3/7, -1.3 in ascending order.
-5, -1.3, -19/60, 0.2, 3/7
Put 3, 541, 28, 15 in descending order.
541, 28, 15, 3
Put -16, -5, 1321 in descending order.
1321, -5, -16
Sort 0.085546, -1, 0.4.
-1, 0.085546, 0.4
Put -43, 2/15, 1/37, -2, 3 in descending order.
3, 2/15, 1/37, -2, -43
Sort -3, -44, 19, -1, -7 in increasing order.
-44, -7, -3, -1, 19
Put 0.87, -1/3, 0.02, 29/4, -3, 2 in descending order.
29/4, 2, 0.87, 0.02, -1/3, -3
Put -1/410, -0.4, -0.1, -1, -3 in decreasing order.
-1/410, -0.1, -0.4, -1, -3
Put -3, -168, 2, 3, -1 in ascending order.
-168, -3, -1, 2, 3
Put -2, 1622, 2, -4, 0 in decreasing order.
1622, 2, 0, -2, -4
Sort -5, 4, -1, 121, 1 in descending order.
121, 4, 1, -1, -5
Sort -4, -5448/19, 4/9 in ascending order.
-5448/19, -4, 4/9
Put 7, -75, -2/7, -4, 0.1 in decreasing order.
7, 0.1, -2/7, -4, -75
Sort 18/5, -1/2, 1227/11.
-1/2, 18/5, 1227/11
Sort -112950, -11, 5.
-112950, -11, 5
Sort -4, 51, 2, 5.
-4, 2, 5, 51
Sort -21, 5, 0, -226, -2.
-226, -21, -2, 0, 5
Sort 1, -4, 5, 2, -10 in increasing order.
-10, -4, 1, 2, 5
Put 0.52, -119, 60 in descending order.
60, 0.52, -119
Put -6, 4, -0.4, 1/31, 0.2, 9 in ascending order.
-6, -0.4, 1/31, 0.2, 4, 9
Sort 2194, -11, -5, -1, 2 in descending order.
2194, 2, -1, -5, -11
Put -261/16, -1/2, 0.4 in descending order.
0.4, -1/2, -261/16
Sort 4.4, 0, 1/10 in increasing order.
0, 1/10, 4.4
Sort -83, 5, -15, -79.
-83, -79, -15, 5
Put 3, 0.4, 0, -2, 0.1, 0.16 in increasing order.
-2, 0, 0.1, 0.16, 0.4, 3
Put -7, -3, 206, 12, 4 in descending order.
206, 12, 4, -3, -7
Sort 40, -1, -4 in decreasing order.
40, -1, -4
Sort 3, 79, 48, 0 in decreasing order.
79, 48, 3, 0
Sort -44, 2/685, 4, 0.2 in ascending order.
-44, 2/685, 0.2, 4
Sort 217, 0.04, 2, 5/2, 0.4 in descending order.
217, 5/2, 2, 0.4, 0.04
Sort -5, 2, 3, 1, -2, -12 in decreasing order.
3, 2, 1, -2, -5, -12
Sort 0, -5, 6/1277, -3 in ascending order.
-5, -3, 0, 6/1277
Put 0.75, -2.87, 1/3, -0.2, -1 in ascending order.
-2.87, -1, -0.2, 1/3, 0.75
Put 3, -0.06, 3/370, 0.7 in descending order.
3, 0.7, 3/370, -0.06
Put -1279, 1, 35 in ascending order.
-1279, 1, 35
Sort -1, 14, 16, -2, -8, -5 in ascending order.
-8, -5, -2, -1, 14, 16
Put -26, 3, 45 in descending order.
45, 3, -26
Sort -0.2, -67, 0.6, -0.4, 0.02.
-67, -0.4, -0.2, 0.02, 0.6
Sort -10, -2, 9, -0.9, -0.04 in ascending order.
-10, -2, -0.9, -0.04, 9
Sort 0.3, -12899, 2, 3/4, 1.1 in descending order.
2, 1.1, 3/4, 0.3, -12899
Sort -9, -2, -3, -15591.
-15591, -9, -3, -2
Put 0.5, -4/39, 259, 20 in descending order.
259, 20, 0.5, -4/39
Put 3, -3, 0, -710 in increasing order.
-710, -3, 0, 3
Put -3.53, 4, -0.2 in descending order.
4, -0.2, -3.53
Put 1/7, 0.1, 2579, 4 in decreasing order.
2579, 4, 1/7, 0.1
Put -4, -8, -2/7, 8, 1/4 in decreasing order.
8, 1/4, -2/7, -4, -8
Put -1, -4, 0, 3, -4710, -5 in descending order.
3, 0, -1, -4, -5, -4710
Put 5, -5, -2, 4178, -1, 0 in decreasing order.
4178, 5, 0, -1, -2, -5
Put -4/5, 1753, 52 in ascending order.
-4/5, 52, 1753
Put 1985, -5, 92 in descending order.
1985, 92, -5
Sort -25, -0.331, -0.01 in increasing order.
-25, -0.331, -0.01
Sort -39, 3, 0, 50, -2 in descending order.
50, 3, 0, -2, -39
Put 4, 3, 2/19, -1, 17 in descending order.
17, 4, 3, 2/19, -1
Sort -2/15, 0.1, 1/5, 18, -2.
-2, -2/15, 0.1, 1/5, 18
Put -1, 4, -27, 2, 5, 1 in increasing order.
-27, -1, 1, 2, 4, 5
Put 151, -1, 8, -3 in descending order.
151, 8, -1, -3
Put -55, 4, -3, -4, -2.7 in decreasing order.
4, -2.7, -3, -4, -55
Put -3663, -0.4, -3, -1 in descending order.
-0.4, -1, -3, -3663
Sort 0.2, -1, -177, -0.1, 0, -1/28 in decreasing order.
0.2, 0, -1/28, -0.1, -1, -177
Put -1149, 0, -3, 2, -6 in descending order.
2, 0, -3, -6, -1149
Sort 9, -4, 0, -2, -170 in descending order.
9, 0, -2, -4, -170
Sort -4, 1, -5, 13, -17, 2.
-17, -5, -4, 1, 2, 13
Put 2, -5, 12, 0, 280 in decreasing order.
280, 12, 2, 0, -5
Put -2, 18, 0, -7, -9 in decreasing order.
18, 0, -2, -7, -9
Sort -21, -5, 0, 3, 46, -3.
-21, -5, -3, 0, 3, 46
Sort -3, 4, -4, -12.
-12, -4, -3, 4
Put 2/17, 4/3, 0.3, -34083 in decreasing order.
4/3, 0.3, 2/17, -34083
Put -2273/9, 1 | {
"pile_set_name": "DM Mathematics"
} |
hat is the remainder when r is divided by 11?
9
Let w be (-3 + 7 - 0) + -2. Calculate the remainder when w*((-99)/(-6) - -3) is divided by 14.
11
Suppose -h = 9*h - 1490. What is the remainder when h is divided by 25?
24
Let r = 28 + 2. Let p(y) = -y**3 + 4*y**2 + 2*y - 2. Let c be p(2). Suppose -c = -v - 2. What is the remainder when r is divided by v?
6
Suppose 3*t = -13 + 40. What is the remainder when 15 is divided by t?
6
Let w(r) be the second derivative of r**5/20 - r**4/6 + r**3/2 + 3*r**2/2 - 3*r. What is the remainder when w(4) is divided by 16?
15
Let n be -15 + (-2 - (-1)/1). Let i be 40/18 - n/(-72). Suppose -i*y = -7*p + 4*p - 25, y - 16 = 5*p. What is the remainder when y is divided by 4?
3
Let s = -204 + 248. What is the remainder when 169 is divided by s?
37
Suppose -327 = -4*b + 225. What is the remainder when b is divided by 28?
26
Suppose -t + 0 = -4. Suppose -x - 23 = -2*j, 0 = 5*j - 2*x + t*x - 35. What is the remainder when 33 is divided by j?
6
Suppose 2*o = -o + 6, 0 = 3*m - 2*o - 14. Suppose 0*p = -4*p + 4*w, -3*p + 20 = 2*w. What is the remainder when 49 is divided by 100/6*m/p?
24
Let y = -25 + 95. Suppose -3*z + z = -y. Calculate the remainder when z is divided by 12.
11
Suppose -34 = -4*k + 18. Calculate the remainder when k is divided by 5.
3
Let y = 36 + 23. Calculate the remainder when y is divided by 20.
19
Let i be (-2)/(-7) + 348/7. Let q = i + -22. What is the remainder when q is divided by 10?
8
Let x = 10 - 4. Let g(w) = 2*w - 8. Let c be g(x). Suppose -h - c*r = -51, -3*h - 15 = 2*r - 138. Calculate the remainder when h is divided by 10.
9
Suppose -5*j + 4*o + 15 = 0, 4*j - 3*j + 4*o = 3. Let f(b) = -2*b**2 - 2*b - b**2 + 2*b - 3*b - 1 + 2*b**3. Calculate the remainder when 50 is divided by f(j).
16
Let u = 3 + -1. Suppose -2*p = p - 4*i + 7, -1 = p - i. Calculate the remainder when p is divided by u.
1
Let j(g) = -g - 9. Let y be j(-11). Suppose y*q = -10, -2*q - 95 = -3*p + 2*q. What is the remainder when p is divided by 13?
12
Let p(a) = -4*a**2 + 1. Let c be p(-1). Let f be (-7 - 0) + c/3. Calculate the remainder when 22 is divided by (f/3)/((-1)/3).
6
Suppose -7*q + 3*q + 5*h - 26 = 0, 0 = -q + 4*h - 12. Let g be 48/28 + (-12)/(-42). Let w = g - q. What is the remainder when 10 is divided by w?
4
Let t(s) = -s**2 - 10*s + 8. Let h be t(-11). Calculate the remainder when 7 is divided by (-1 + 0/2)*h.
1
Suppose 6 = 19*w - 18*w. What is the remainder when 39 is divided by w?
3
Suppose -5*t - 10 + 35 = 0. Suppose 13 + t = 3*k. What is the remainder when 16 is divided by k?
4
Suppose 0 = -51*h + 57*h - 258. What is the remainder when h is divided by 5?
3
Suppose 257 = 3*c - 2*f, 0 = 5*c - 2*f - 0*f - 435. What is the remainder when c is divided by 30?
29
Suppose -c - 2*c - 5*k + 33 = 0, 22 = 2*c - 4*k. What is the remainder when -1 + 1 - 1 - -32 is divided by c?
9
Suppose -8*j + 212 = -4*j. Calculate the remainder when j is divided by 11.
9
Suppose 0*w - 4*z = 5*w - 46, -5*z + 14 = -w. Let x(n) = n**2 + 3*n - 6. What is the remainder when w is divided by x(-5)?
2
Let w be (32/12)/(6/9). Suppose 18 = -w*f + 6*f. What is the remainder when (-2)/(-4)*-5*-10 is divided by f?
7
Let o(a) be the third derivative of -a**6/120 + 7*a**5/60 - a**4/6 - 4*a**3/3 - 3*a**2. Calculate the remainder when 10 is divided by o(6).
2
Let r = -4 - -6. Suppose 3*a = 2*u + 47, 3*u + 43 = r*a + 15. Suppose 4*o = 3*f + 27, -2*f - 15 = -7*f. Calculate the remainder when a is divided by o.
8
Calculate the remainder when 37 is divided by (39/6)/((-6)/(-12)).
11
Let i be 1 - (-245)/((-3)/(-3)). Let f = -10 + i. Suppose 7*j - 3*j = f. What is the remainder when j is divided by 20?
19
Let n(f) = f**2 + 13*f + 6. Calculate the remainder when n(-13) is divided by 6.
0
Suppose -2*p = 3*p - 10. What is the remainder when (-1 - 3)/p + 8 is divided by 2?
0
Suppose -8*l + 4*l + 160 = 3*r, -l + 115 = 2*r. Let f = r - 85. Let q = -12 - f. What is the remainder when 49 is divided by q?
10
Let z be 6 + 0 - (0 - -2). Suppose 0 = -z*m - 5*g - 17, -21 = -0*m + 2*m + 5*g. Calculate the remainder when m*2/(-4)*-1 is divided by 1.
0
Suppose -3 + 1 = -5*r + a, 4*a = 3*r - 8. Suppose r = m - 3. Calculate the remainder when m is divided by 1.
0
Let u(q) = q**2 + 7*q + 9. Let y be u(-6). Suppose 0 = -y*f + 6*f - 45. What is the remainder when 44 is divided by f?
14
Let o be 4/10 + 12/(-5). Let r(h) = 12*h**2. What is the remainder when r(-1) is divided by o*(1 - (-9)/(-2))?
5
Let z = 120 - 69. Suppose 0 = -5*g - 4*p + 66, -3*g = 3*p - z + 12. What is the remainder when g is divided by 8?
6
Let j(p) = 2*p**2 + 4. Let g(z) = -z - 9. Let l be g(-7). What is the remainder when 46 is divided by j(l)?
10
Let c = -50 - -71. What is the remainder when 82 is divided by c?
19
Calculate the remainder when 126 is divided by 126/4 - 2/(-4).
30
Let m = 51 - 30. Suppose 0*x = 4*x - 4. What is the remainder when m is divided by x/(2 + -1) + 10?
10
Suppose -r + 6 = r. Suppose 2*m + r = 3*m. Suppose 5*i + 2*l = 115, m*l = -12 - 3. What is the remainder when i is divided by 9?
7
Suppose 0 = -l + 2*l - 4. Suppose -l*y = -0*y. Suppose -2*x = -y*x - 14. What is the remainder when 20 is divided by x?
6
Suppose -4*m - 3 = -95. Calculate the remainder when m is divided by 2/(-6)*4*-6.
7
Let p = 43 - 24. Suppose -2*x + 152 = 2*a, -a + 179 + 189 = 5*x. Calculate the remainder when x is divided by p.
16
Let j(z) = z + 15. Calculate the remainder when j(13) is divided by 10.
8
Suppose -13 = -z + 6. What is the remainder when z is divided by 5?
4
What is the remainder when 15 is divided by 8/(-6*(-4)/12)?
3
Let r(z) = -z**3 + 6*z**2 - 1. Suppose 0 = i - 3*h - 118, -9*h - 108 = -i - 8*h. Calculate the remainder when i is divided by r(3).
25
Let x = 6 + -4. Calculate the remainder when (x + 2)/((-3)/(-6)) is divided by 5.
3
What is the remainder when (-3180)/(-50) - (-1 + 24/15) is divided by 8?
7
Suppose -5*n - 3*m = 98, 1 = -n + m - 17. Let s = n + 32. What is the remainder when 38 is divided by s?
12
Let i(l) = l + 9. Let n be i(0). Let j(y) be the third derivative of y**4/24 + y**3/2 + 12*y**2. What is the remainder when 47 is divided by j(n)?
11
Let i be ((-4)/6)/(7/(-21)). Suppose -4*d + 0*d = 20, -3*x + 29 = i*d. What is the remainder when 51 is divided by x?
12
Suppose -q = 4*q - 30. Suppose -4*f - 6 = -q*f. Suppose f*k = 202 - 64. Calculate the remainder when k is divided by 16.
14
Suppose 8 = f - 2*m, -2*m = -2*f - 0*f + 6. Suppose -2*u = 2*u - 4. Let b = u - f. Calculate the remainder when b is divided by 2.
1
Let y = -28 + 65. What is the remainder when 146 is divided by y?
35
Let l = 7 + 1. Suppose -19*j + 80 = -319. What is the remainder when j is divided by l?
5
Suppose 3*c = -2*r + r - 9, -4*r + 8 = c. Suppose 0*j - 5*t + 65 = 5*j, -j - r*t + 13 = 0. Calculate the remainder when 37 is divided by j.
11
Suppose -4*t = -6*t - 16. Let k(c) = -c**2 - 9*c + 4. What is the remainder when 46 is divided by k(t)?
10
Let j(h) = -14*h + 4. Let w(o) = 2*o - 10. What is the remainder when j(-3) is divided by w(11)?
10
Let b(q) = 2*q**2 + 2*q + 1. Let w be b(7). Let y = -60 + w. Calculate the remainder when y is divided by 18.
17
Let j(p) = -p**2 + 6*p - 4. Let d be j(7). Let g = d - -17. What is the remainder when g is divided by 2?
0
Let n = 3 - -5. Let d be 0/(-1)*4/n. Suppose -3*o - g - 3*g + 31 = d, -5*o - 2*g = -61. Calculate the remainder when o is divided by 7.
6
Suppose 33*p = 28*p + 10. Calculate the remainder when p is divided by 2.
0
Let j(k) = 13*k + 16. Calculate the remainder when j(8) is divided by 31.
27
Let z(t) = 2*t**2 + 9*t - 6. Calculate the remainder when z(-7) is divided by 8.
5
Let c = -53 + 125. Suppose 5*g = c - 2. Calculate the remainder when g is divided by 8.
6
Let y be (2 + 2/(-3))*3. Suppose -6 = -2*n, -154 = -y*w - 2*n - 60. Calculate the remainder when w is divided by 12.
10
Let f = -152 - -215. Suppose -33 = -2*s + 11. Calculate the remainder when f is divided by s.
19
Let p(b) be the second derivative of b**3/2 - 7*b**2/2 + 2*b. What is the remainder when p(5) is divided by 3?
2
Let f(b) = -b**2 - 5*b + 8. Let z be 56/(-9) + 4/18. Let p be f(z). Calculate the remainder when 28 is divided by (p - 14/6)*-30.
8
Let d = 15 - 7. Calculate the remainder | {
"pile_set_name": "DM Mathematics"
} |
138
Solve 2*r**3/3 - 74*r**2 + 3196*r/3 + 9200 = 0 for r.
-6, 25, 92
Solve 5*d**3 - 695*d**2 + 3350*d = 0 for d.
0, 5, 134
Factor -2*c**3 + 478*c**2 - 950*c + 474.
-2*(c - 237)*(c - 1)**2
Find s, given that 4*s**4/7 + 568980*s**3/7 + 20233924512*s**2/7 + 20233355536*s/7 = 0.
-71122, -1, 0
Determine d so that 120*d**4/7 - 16556*d**3/7 - 564*d**2/7 + 1656*d/7 = 0.
-1/3, 0, 3/10, 138
Suppose 3*j**2/5 + 1644882*j/5 + 225469732827/5 = 0. Calculate j.
-274147
Factor -4*g**3 + 48812*g**2 - 149083904*g + 1041196912.
-4*(g - 6098)**2*(g - 7)
Factor 125*v**3 + 1200*v**2 - 223095*v - 4443830.
5*(v - 46)*(5*v + 139)**2
Suppose -5*p**5/3 - 1235*p**4/3 - 96730*p**3/3 - 2294560*p**2/3 + 996000*p + 4800000 = 0. What is p?
-100, -48, -2, 3
Factor 2*v**3 - 12376*v**2 + 86554*v - 123620.
2*(v - 6181)*(v - 5)*(v - 2)
Let 2*f**3/7 - 944*f**2/7 - 9640*f/7 = 0. What is f?
-10, 0, 482
Suppose -6*p**4/5 - 32*p**3 + 18*p**2/5 + 3132*p/5 - 208 = 0. Calculate p.
-26, -5, 1/3, 4
Factor -2*j**3/3 - 298*j**2/3 - 590*j/3 - 98.
-2*(j + 1)**2*(j + 147)/3
Factor -2*k**3/11 - 24714*k**2/11.
-2*k**2*(k + 12357)/11
Solve 3*h**4/5 + 171*h**3 + 79704*h**2/5 + 2440812*h/5 = 0 for h.
-121, -82, 0
Factor -3*r**2 - 103014*r - 884323683.
-3*(r + 17169)**2
Solve 1444*g**3 + 1984968*g**2 + 1253232*g + 197856 = 0 for g.
-1374, -6/19
Solve 4*s**2/7 - 27492*s/7 + 247104/7 = 0.
9, 6864
Find z, given that z**2/2 + 132883*z + 17657891689/2 = 0.
-132883
Determine k so that 6*k**5/5 + 22894*k**4/5 + 3669098*k**3/5 + 149628258*k**2/5 - 52740856*k/5 - 20115880 = 0.
-3650, -83, -2/3, 1
Factor 340*t**3 + 2055*t**2 - 2290*t - 105.
5*(t - 1)*(t + 7)*(68*t + 3)
Factor f**4/4 + 45*f**3/4 + 43*f**2/2.
f**2*(f + 2)*(f + 43)/4
Factor 5*x**2 - 15905*x - 159550.
5*(x - 3191)*(x + 10)
Find l, given that 4*l**3 + 3356*l**2 + 580796*l + 28622500 = 0.
-625, -107
What is n in -20*n**5 + 368*n**4 - 1044*n**3 + 360*n**2 = 0?
0, 2/5, 3, 15
Factor 5*b**3/3 + 430*b**2 + 6355*b/3 + 2530.
5*(b + 2)*(b + 3)*(b + 253)/3
Suppose 2*m**5 - 3070*m**4 + 1388462*m**3 - 153411226*m**2 - 1388464*m + 153414296 = 0. What is m?
-1, 1, 163, 686
Factor 2*f**2/7 - 65706*f/7 - 131420/7.
2*(f - 32855)*(f + 2)/7
Determine m so that -m**5 - 12*m**4 - 28*m**3 - 6*m**2 + 29*m + 18 = 0.
-9, -2, -1, 1
What is b in -3*b**5 - 888*b**4 - 15411*b**3 + 105138*b**2 + 119664*b = 0?
-277, -24, -1, 0, 6
Factor -5*i**4 - 135*i**3 + 150*i**2 + 280*i.
-5*i*(i - 2)*(i + 1)*(i + 28)
Factor -2*t**2/13 + 144112*t/13 - 2596033568/13.
-2*(t - 36028)**2/13
Factor 908*c**3 + 7180*c**2 + 13856*c - 1344.
4*(c + 4)**2*(227*c - 21)
Factor 85*f**2/2 + 210*f + 160.
5*(f + 4)*(17*f + 16)/2
What is r in 24*r**5 + 1371*r**4 - 2637*r**3 + 1065*r**2 + 177*r = 0?
-59, -1/8, 0, 1
Determine d so that 5*d**5 + 165*d**4 + 270*d**3 - 1240*d**2 = 0.
-31, -4, 0, 2
Factor 2*v**2/3 + 8714*v/3 + 2904.
2*(v + 1)*(v + 4356)/3
Let -2*n**4/9 + 196*n**3/9 - 5944*n**2/9 + 59708*n/9 - 17986/3 = 0. Calculate n.
1, 23, 51
Let -p**2/3 + 11725*p/3 - 23446/3 = 0. Calculate p.
2, 11723
Factor 5*s**3 - 16670*s**2 + 13692245*s + 338284920.
5*(s - 1679)**2*(s + 24)
Find b such that 2*b**4 + 3880*b**3 + 2261000*b**2 + 346800000*b = 0.
-850, -240, 0
Solve 7*l**4/6 + 4127*l**3/6 + 6124*l**2 + 48824*l/3 + 32512/3 = 0.
-4064/7, -4, -1
Factor d**2 + 155*d + 4284.
(d + 36)*(d + 119)
Find x such that -x**2/8 - 23945*x/4 - 23943 = 0.
-47886, -4
Factor -3*f**3 + 564*f**2 + 11925*f - 26082.
-3*(f - 207)*(f - 2)*(f + 21)
Find r such that -80*r**3 - 177045*r**2 + 1232135*r + 77700 = 0.
-2220, -1/16, 7
Factor -30*b**2 + 277165*b - 230950.
-5*(b - 9238)*(6*b - 5)
Factor -2*k**4 - 52*k**3 - 498*k**2 - 2080*k - 3200.
-2*(k + 5)**2*(k + 8)**2
Factor -s**2/6 + 1697*s/3 + 82460.
-(s - 3534)*(s + 140)/6
Factor 2*g**2 - 1465140*g + 268329402450.
2*(g - 366285)**2
Determine h, given that 2*h**2 - 1284*h + 152290 = 0.
157, 485
Factor -3*w**3 + 10491*w**2 - 104538*w - 251064.
-3*(w - 3487)*(w - 12)*(w + 2)
Factor q**2 + 208*q - 1953.
(q - 9)*(q + 217)
Factor 4*u**3/9 - 1248*u**2 + 2690780*u/3 - 261632584/9.
4*(u - 1387)**2*(u - 34)/9
Suppose 2*i**3/19 + 286*i**2/19 = 0. What is i?
-143, 0
Find x such that 2*x**5 - 6*x**4 - 810*x**3 + 4006*x**2 - 3192*x = 0.
-21, 0, 1, 4, 19
Determine j, given that 2*j**5/15 - 22*j**4/5 - 1234*j**3/15 + 4126*j**2 - 474904*j/15 - 80408 = 0.
-30, -2, 19, 23
Factor 35*t**2 + 245435*t + 105180.
5*(t + 7012)*(7*t + 3)
Factor -3*l**4/8 + 99*l**3/4 - 2067*l**2/8.
-3*l**2*(l - 53)*(l - 13)/8
Let -8*k**3/3 - 407*k**2 - 806*k - 1205/3 = 0. What is k?
-1205/8, -1
Let -5*h**3/4 - 85*h**2/4 + 3280*h + 3300 = 0. What is h?
-60, -1, 44
Find z, given that -182328*z**2 + 210*z + 3 = 0.
-1/284, 1/214
Factor 2*u**3/7 - 36*u**2/7 - 258*u + 1840/7.
2*(u - 40)*(u - 1)*(u + 23)/7
Find l such that 5*l**3/2 + 89*l**2/4 - 16209*l/4 + 405 = 0.
-45, 1/10, 36
Factor 3*x**3 - 2064*x**2 + 472860*x - 36075888.
3*(x - 244)*(x - 222)**2
Let 22*j**4/13 - 91252*j**3/13 - 1278*j**2 + 91252*j/13 + 16592/13 = 0. Calculate j.
-1, -2/11, 1, 4148
Let 10*d**5/3 + 658*d**4 + 29326*d**3 - 994094*d**2/3 - 1410276*d - 509232 = 0. Calculate d.
-103, -3, -2/5, 12
Let -k**3 - 1654*k**2 - 8251*k - 9894 = 0. Calculate k.
-1649, -3, -2
Factor 1294*n**2 - 7858*n + 564.
2*(n - 6)*(647*n - 47)
Factor -2*k**2/7 - 4770*k/7 - 9532/7.
-2*(k + 2)*(k + 2383)/7
Factor k**4 - 968*k**3 + 195591*k**2 + 19394960*k + 19198400.
(k - 520)**2*(k + 1)*(k + 71)
Let 3*s**5/7 + 3057*s**4/7 + 110154*s**3 - 560856*s**2 + 1597440*s/7 + 6291456/7 = 0. What is s?
-512, -1, 2, 4
Factor -2*i**2 - 834*i - 21060.
-2*(i + 27)*(i + 390)
Factor 3*b**4 + 6345*b**3 + 3370725*b**2 + 16695375*b.
3*b*(b + 5)*(b + 1055)**2
Determine c, given that -5*c**2 - 325*c + 4620 = 0.
-77, 12
Factor u**3/4 - 785*u**2/4 - 1573*u/4 - 787/4.
(u - 787)*(u + 1)**2/4
Factor -i**4/2 + 371*i**3/2 - 550*i**2 - 736*i.
-i*(i - 368)*(i - 4)*(i + 1)/2
Suppose -6050*a**4 - 109340*a**3 + 373222*a**2 + 27576*a + 504 = 0. Calculate a.
-21, -2/55, 3
Factor 2*z**3/9 - 74*z**2/9 - 7648*z/9 - 22360/3.
2*(z - 86)*(z + 10)*(z + 39)/9
Factor 2*n**4/3 - 11938*n**3 + 53437472*n**2 + 160348232*n/3.
2*n*(n - 8954)**2*(n + 1)/3
Factor -5*g**3 - 1749*g**2 + 9225*g - 1775.
-(g - 5)*(g + 355)*(5*g - 1)
Suppose k**3 - 57*k**2 + 251*k + 2805 = 0. Calculate k.
-5, 11, 51
Factor 6*t**3/11 - 84*t**2/11 - 1278*t + 30888.
6*(t - 33)**2*(t + 52)/11
Solve 5*s**2/6 + 20825*s/3 = 0.
-8330, 0
Suppose -5*b**2/2 + 510*b - 2000 = 0. What is b?
4, 200
Determine m so that -12*m**3 + 82200*m**2 - 140314311*m - 1553419593 = 0.
-11, 6861/2
Let 4*u**5 + 900*u**4 + 13428*u**3 - 146900*u**2 + 420024*u - 374400 = 0. What is u?
-208, -25, 2, 3
Solve -7*v**5 + 870*v**4 + 2447*v**3 - 4326*v**2 + 1016*v = 0.
-4, 0, 2/7, 1, 127
Factor 5*u**4 + 870*u**3 + 6475*u**2 - 27390*u.
5*u*(u - 3)*(u + 11)*(u + 166)
Factor u**2/6 - 89*u - 3787/6.
(u - 541)*(u + 7)/6
Factor 4*l**2 - 32468*l + 32464.
4*(l - 8116)*(l - 1)
Find y such that -5*y**3 - 50*y**2 + 1755*y + 1800 = 0.
-24, -1, 15
Let 2*i**4 - 27408*i**3 - 54824*i**2 = 0. Calculate i.
-2, 0, 13706
What is s in -10*s**5/13 + 63434*s**4/13 - 88782*s**3/13 - 38066*s**2/13 + 88792*s/13 - 25368/13 = 0?
-1, 2/5, 1, 6342
Solve -15*w**4/4 + 89*w**3/2 + 219*w**2/4 + 13*w/2 = 0.
-1, -2/15, 0, 13
Find n, given that -318*n**5 - 3404*n**4 + 38456*n**3 - 62992*n**2 - 63488*n - 2304 = 0.
-18, -2/3, -2/53, 4
Determine a, given that 3*a**5/7 - 2097*a**4/7 + 2094*a**3/7 = 0.
0, 1, 698
Determine o, given that 289*o**4 + 4505*o**3 - 8067*o**2 - 17545*o + 28594 = 0.
-17, -2, 29/17
Suppose 3*v**3/4 + 180*v**2 - 53823*v/4 + 13275 = 0. Calculate v.
-300, 1, 59
Determine a so that -60*a**3 - 1628*a**2 + 7224*a + 992 = 0.
-31, -2/15, 4
Solve -2*v**5/17 - 3792*v**4/17 + 4*v**3/17 + 7584*v**2/17 - 2*v/17 - 3792/17 = 0.
-1896, -1, 1
Factor -2*w**3 - 104426*w**2 - 208844*w.
-2*w*(w + 2)*(w + 52211)
Suppose 2*o**5/13 + 214*o**4/13 + 7716*o**3/13 + 98560*o**2/13 + 167936*o/13 = 0. Calculate o.
-41, -32, -2, 0
Solve -9*r**3/5 + 822*r**2 - 6819*r/5 - 546 = 0 for r.
-1/3, 2, 455
Factor -5*t**2 - 37315*t - 74610.
-5*(t + 2)*(t + 7461)
Factor -5*f**2/2 - 10650*f + 63945/2.
-5*(f - 3)*(f + 4263)/2
Find a, given that -2*a**3 + 2*a**2 + 1168*a + 3432 = 0.
-22, -3, 26
Solve 4*l**3 + 448*l**2 + 1708*l - 2160 = 0 for l.
-108, -5, 1
Find m such that | {
"pile_set_name": "DM Mathematics"
} |
+ 2. Suppose -1 = -3*h + 26. Suppose -6 = h*p - 6*p. List the prime factors of f(p).
2, 13
Let h = -28 - -33. Suppose 3*a - k + 44 = 5*a, -h*a - 3*k + 108 = 0. What are the prime factors of a?
2, 3
Suppose 4*y = 4*h - 4, 3*h - 1 = 2*y + 2*y. Let o be 6/(y + 6/(-2)). Let i(u) = -u**3 - 6*u**2 - u + 5. What are the prime factors of i(o)?
11
Suppose -7*f + 38 + 4 = 0. List the prime factors of 2/(f*(-3)/(-333)).
37
Suppose 65 = -2*q - 107. Let y = q + 222. Suppose -6*a = -2*a - y. List the prime factors of a.
2, 17
Let u = 712 + -649. What are the prime factors of u?
3, 7
Let g(t) = -t**2 - 6*t - 5. Let f be g(-5). Let l be (-3 + f)*(-51)/(-9). Let v = 43 + l. List the prime factors of v.
2, 13
Suppose 5*a - 7 = 8. Suppose -2*g - 22 = z, -2*z - 2*z = a*g + 23. What are the prime factors of 2/g - 966/(-26)?
37
Let v = 18 - 48. Let b be (-1)/(-4) + v/(-8). Suppose b*a - 51 - 13 = -4*u, 3*u = -2*a + 28. List the prime factors of a.
2, 5
Let b = -65 - -37. Let g = 110 - b. List the prime factors of g.
2, 3, 23
Suppose -22*g - 8549 + 21947 = 0. List the prime factors of g.
3, 7, 29
Let q be (-16 - -15)/(1/(-15)). Let a = -15 + q. Suppose a = -2*d + 34 + 4. What are the prime factors of d?
19
Suppose -2*m - 4*l - 196 = -6, -3*l = m + 96. Let a = 223 + m. List the prime factors of a.
2, 5, 13
Suppose 5*w + 2567 = f, 0 = 7*w - 5*w. What are the prime factors of f?
17, 151
Let f(p) = -p**3 - 8*p**2 + 8*p + 10. Let z be -1 + 2 - (-32 - 1). Suppose 2*g = 4*o + 3*g + 41, -o - 5*g = z. What are the prime factors of f(o)?
19
What are the prime factors of 1112 - (7 + -9) - (-2)/(-2)?
3, 7, 53
Let c(o) = -29*o**3 - 5*o**2 - 12*o + 3. What are the prime factors of c(-4)?
3, 7, 29
Let j = 109 - 188. Let x = 153 + j. List the prime factors of x.
2, 37
What are the prime factors of (-861)/(-28)*48/9?
2, 41
Let b = -40 + 135. Let o be (b/76)/(1/(-4)). What are the prime factors of (-275)/o + -2 - -4?
3, 19
Let v = 778 - -52. List the prime factors of v.
2, 5, 83
Let r(s) = -21*s - 21. Suppose 0 = p - 4*h + 7, -2*p - h - 7 = 7. What are the prime factors of r(p)?
2, 3, 7
Let c be -5 + 9 - (0 - 10). Let s(b) = b**2 - 24*b - 1. Let q be s(c). List the prime factors of q/(-11) - 28/(-154).
13
Suppose 3*f + 73 = 4*f. Let d = -18 + f. Suppose -u = -6*u + d. What are the prime factors of u?
11
Suppose -6*n + 2*n = 4*o - 1260, 4*n - 1245 = o. List the prime factors of n.
2, 3, 13
Let z(r) = -r**2 - 9*r - 6. Let b be z(-10). Let c be -22*(-2)/b*4. List the prime factors of c/((3/(-9))/1).
3, 11
Let x(f) = -f**3 + 4*f**2 + 7*f. Let z be 3 + (0 - -1) + 1. What are the prime factors of x(z)?
2, 5
Suppose 718 = 8*c - 42. Suppose 0 = -i + 3*y + 45, -7*i - 5*y = -3*i - c. Suppose -u = -3*u + i. What are the prime factors of u?
3, 5
Let h be (-69)/12 + (-3)/12. Let d(p) = p**2 + 6*p + 6. Let u be d(h). List the prime factors of (u + -3)/(3/54).
2, 3
Suppose -2*s + 786 - 302 = 0. Suppose -108 - s = -7*m. What are the prime factors of m?
2, 5
Let m(u) = 2616*u**2 + 61*u + 60. What are the prime factors of m(-1)?
5, 523
Suppose s - 2*s + 2*d = -17, 4*s + d = 23. Suppose s*x - 3*x = 80. What are the prime factors of x?
2, 5
Let g be 8*(25/4 + -4). Let z be (-1)/4 - 274/(-8). Let b = z - g. List the prime factors of b.
2
Suppose 3*x + 5*b = -45, 2*x + b = -2*b - 30. Let o = -24 + x. Let k = 56 + o. What are the prime factors of k?
17
Let u = -1042 - -1507. List the prime factors of u.
3, 5, 31
Let o be (0 - 168)*28/(-42). Let n(d) = -12*d - 7. Let r be n(6). Let p = o + r. What are the prime factors of p?
3, 11
Let s = 8 - -75. Suppose 24 = y - 23. Suppose -4*p = 3*r - s, -3*p - 1 = -3*r + y. What are the prime factors of r?
3, 7
Let x be 1/((-2)/(-12)) + -2. Let h(v) = v**3 - 5*v**2 + 2*v - 1. Let w be h(x). Let c(y) = -y**2 - 10*y + 1. What are the prime factors of c(w)?
2, 5
List the prime factors of -1514*((-3)/21)/(18/63).
757
Suppose 0 = 7*j - 10*j + 4*f + 1388, 0 = 2*j - 3*f - 925. What are the prime factors of j?
2, 29
Let b be 13140/33 - (-6)/(-33). Suppose -9*t + 7*t + b = 0. What are the prime factors of t?
199
Let f = -200 + 412. Suppose -2*c - 5*y = -6*c + 214, 4*y = 4*c - f. List the prime factors of c.
3, 17
Let u be (-2)/(-2 + 0/(-3)). Let w(z) = -z. Let y(i) = 2*i - 2. Let v(c) = u*y(c) - 8*w(c). List the prime factors of v(2).
2, 3
Let s = -519 - -1220. What are the prime factors of s?
701
Let m = 0 + -19. Let u(s) = -5*s - 13. List the prime factors of u(m).
2, 41
Suppose 4*d - 3*n - 3380 = 0, 5*d - 4*n - 4224 = -0*n. What are the prime factors of d?
2, 53
Let c(a) = 5*a + 286. List the prime factors of c(0).
2, 11, 13
Let h(v) be the first derivative of 19*v**2 + 32*v - 20. List the prime factors of h(5).
2, 3, 37
Suppose 2*w = -17*w + 3648. List the prime factors of w.
2, 3
Let n(a) = -259*a - 6. What are the prime factors of n(-3)?
3, 257
Suppose 0 = 5*m, -3*m + 396 = a - 2*m. What are the prime factors of a?
2, 3, 11
Suppose -22*w - 4*t = -25*w + 1889, 4 = 4*t. What are the prime factors of w?
631
Suppose -15*j = -6*j - 10818. What are the prime factors of j?
2, 601
Let d(l) = 2*l**2 - 9*l + 1. Let p be d(6). Suppose y - 11 - p = 0. List the prime factors of ((-12)/(-8))/(1/y).
3, 5
Let j = -45 - 107. What are the prime factors of (-2)/15 - j/15?
2, 5
Let h = 9 + 27. Let i be 254/(-7) - h/(-126). Let z = 59 + i. List the prime factors of z.
23
Let c(k) = -k**2 + k + 2. Let p be c(0). Suppose -4*a = -4, -17 + 62 = p*h + 3*a. List the prime factors of h.
3, 7
Suppose -2*q - 948 = 5*j, -4*q = -9*q + 5. What are the prime factors of (3 - 6 - j)/(2 + -1)?
11, 17
Let q be (0 - 0)*11/(-22). Suppose l = -l + 5*x - 17, q = -2*l + 4*x - 12. What are the prime factors of (-3)/l - 76/(-16)?
2
Let c(g) = -2*g + 33. Let o = -4 + 20. Let m be c(o). Let w = m + 23. What are the prime factors of w?
2, 3
List the prime factors of ((-418)/(-76))/(2 - 3609/1806).
7, 11, 43
Suppose f + 7 = -2*q, -q = -f - f + 11. Suppose -4*r + f*j = -163, -2*r + 5*j = -35 - 50. List the prime factors of r.
2, 5
Let g(c) = 255*c**2 - 7. List the prime factors of g(2).
1013
Suppose -8*w + 730 = -598. List the prime factors of w.
2, 83
Let r = 51 - 43. Suppose 4*w = r*w - 276. List the prime factors of w.
3, 23
Suppose 0 = 4*k - 20, 4*k = 2*d - 357 - 221. What are the prime factors of d?
13, 23
Suppose 0 = v - 5*o - 266, -v - 3*o + 70 + 164 = 0. What are the prime factors of v?
2, 3, 41
Let w(h) be the second derivative of -h**3/2 + 3*h**2 + 21*h. What are the prime factors of w(-21)?
3, 23
Let f(k) = -3*k**3 - 6 - k**2 + 7*k**2 - 7*k - 9*k + 4*k**3. Let q be f(-8). Let w(y) = 2*y**2 + 3*y - 2. What are the prime factors of w(q)?
2, 13
Suppose -1 - 4 = -u. Suppose u*v - v = 48. Let s = v - 8. List the prime factors of s.
2
Let w = -15 - -15. Suppose -5*t + y - 3*y + 451 = 0, w = 2*t - y - 184. What are the prime factors of t?
7, 13
Let p = -135 - -141. List the prime factors of p.
2, 3
Let c = 1082 - 641. What are the prime factors of c?
3, 7
List the prime factors of (-162136)/(-182) + 8/7.
2, 223
Let h(d) = -9*d**2 - 7*d + 19. Let i(k) = 14*k**2 + 10*k - 28. Let a(o) = 7*h(o) + 5*i(o). List the prime factors of a(-3).
53
Suppose 20 = 13*x - 9*x. Suppose -x*n - 4*d = -134, -4*n - 5*d + 83 = -n. What are the prime factors of n?
2, 13
Let r(i) = i + 25. Let t be r(11). Suppose 3*a - 1129 + 400 = 0. What are the prime factors of a/t + 2/8?
7
What are the prime factors of -6 + 6 + 933*(-78)/(-18)?
13, 311
Let i be 4/3 + -1 - 8/(-12). What are the prime factors of 14/(-28)*(-146)/i?
73
Let c(s) = 2*s - 5. Let g be 84/(-7)*2/(-6). Let a be c(g). List the prime factors of a/(3/(-2)) + 19.
17
Suppose -17*q - q + 2340 = 0. What are the prime factors of q?
2, 5, 13
Suppose 2*q - 36 = -4*n, 0 = 4*n + q - 14 - 24. Suppose -n*i + 9*i + 97 = 0. What are the prime factors of i?
97
Let j(q) = 4 - 5 - 7*q**2 + 9*q - 14 + 10*q**2. What are the prime factors of j(7)?
3, 5, 13
Suppose 2*z - 1264 = -5*v + v, 5*v + z - 1574 = 0. What are the prime factors of v?
2, 157
Let n be 2/6 + (-2358)/(-54). Suppose w = 2*c - 42, c + c - 2*w = n. What are the prime factors of c?
2, 5
Suppose 12*s - 1783 = 1109. What are the prime factors of s?
241
Let o be (-55)/(-15) + 0 + (-2)/3. Suppose 0 = -o*t - i + 570, -6*t + t - 4*i = -95 | {
"pile_set_name": "DM Mathematics"
} |
-4/7, 0.5?
0.5
Which is the fourth smallest value? (a) -4/3 (b) 82 (c) -2/27 (d) 4/3
b
What is the second smallest value in 0.3, -1/3, 0.1, 4802?
0.1
Which is the third biggest value? (a) 2/3 (b) -0.28 (c) -0.3 (d) 2/15 (e) -7/6
b
Which is the second smallest value? (a) 1545 (b) 0.45 (c) 4
c
What is the second smallest value in 8, -866/3, 1/4, 0.4, 2, -1?
-1
Which is the third biggest value? (a) -1160 (b) 3 (c) 1 (d) -54 (e) 0
e
What is the fourth smallest value in -1/2, 115, -4, 11.8, 0?
11.8
Which is the fifth smallest value? (a) -2/3 (b) -3 (c) 178 (d) -1/10 (e) 0.2
c
Which is the second biggest value? (a) 13 (b) 189 (c) 2/7 (d) -3
a
What is the second biggest value in 10, 74, 186?
74
Which is the second biggest value? (a) 2/6415 (b) 2/11 (c) -0.6
a
Which is the sixth biggest value? (a) 1 (b) -0.5 (c) 4/9 (d) -4 (e) -0.071 (f) 0.3
d
Which is the third smallest value? (a) 0.2 (b) 552 (c) -65 (d) -0.3 (e) -5
d
What is the third smallest value in -4, -4/39, 2/9, -1.96, -5?
-1.96
What is the smallest value in 2, 3, -0.17, -0.1, 0.14?
-0.17
What is the second smallest value in 2/81, -0.4, 1/3, -91, -4, 1?
-4
What is the second smallest value in -19, -1/7, 1.4?
-1/7
What is the fifth smallest value in -0.1, -0.176, -0.5, -94, -5, 2/19?
-0.1
Which is the third biggest value? (a) 6.9 (b) 8 (c) 41
a
Which is the fifth smallest value? (a) 0.02 (b) -5 (c) -1/5 (d) -3/4 (e) -0.1248
a
Which is the second biggest value? (a) -1/3 (b) 1 (c) -0.27 (d) 1/5 (e) -3/2
d
What is the biggest value in 0.1, 1.6, 2281?
2281
What is the biggest value in 22, -3, 0.09, 2/29, 5?
22
Which is the fourth biggest value? (a) 0.4 (b) 0.5 (c) 329 (d) -1/4 (e) 2/9
e
What is the biggest value in 0.4241, 5, -87?
5
Which is the biggest value? (a) 790 (b) -11 (c) 0.5 (d) -23
a
What is the second smallest value in -1188/13, 11, 2/7?
2/7
Which is the biggest value? (a) -9 (b) 2/3 (c) -1 (d) -24 (e) 3/2
e
Which is the second biggest value? (a) 1/4 (b) 0 (c) 0.5284
a
Which is the second smallest value? (a) -4/5 (b) 1 (c) -140
a
Which is the fourth biggest value? (a) 44 (b) 0.5 (c) 0 (d) 0.1 (e) 19 (f) -8
d
Which is the fifth smallest value? (a) 3.7 (b) -5 (c) 7 (d) 4 (e) -3/2
c
What is the third smallest value in 277, 1, 3, 9, 0.08?
3
Which is the second biggest value? (a) 15/2 (b) 441 (c) -0.2
a
What is the second biggest value in -1/3, 17, -207, -2?
-1/3
Which is the sixth biggest value? (a) 7/2 (b) 2/11 (c) -20 (d) 6 (e) -4 (f) 5
c
What is the second biggest value in 3, -0.39, 1/5, 1, -1?
1
Which is the biggest value? (a) 2/11 (b) 0.3459 (c) -3 (d) -0.2 (e) -6
b
What is the biggest value in 5, -0.1, -0.01, -460, 0.5?
5
Which is the third smallest value? (a) -0.2 (b) -3 (c) -4 (d) 6 (e) -3/2 (f) -14
b
Which is the third smallest value? (a) -4 (b) -161 (c) -0.3 (d) 0 (e) 154 (f) 3
c
What is the fifth biggest value in -4, -6, 2, -31, -0.1?
-31
What is the smallest value in 5, 0.57394, 0.4?
0.4
What is the third smallest value in 19, -37, 3/4, -2/17, 1?
3/4
Which is the biggest value? (a) -157 (b) -0.4 (c) 5 (d) 0.5 (e) 10
e
What is the sixth biggest value in -0.4, 222/5, -2, -5, -1/6, -0.3?
-5
What is the biggest value in 4, 400, -13, -11?
400
What is the third biggest value in 195, -1/6, -3, -2/3?
-2/3
What is the fourth biggest value in -74, -5, 5/12, -0.1, -0.3, 0?
-0.3
Which is the third biggest value? (a) 1 (b) 0.1 (c) -1/136 (d) 50
b
Which is the biggest value? (a) -3 (b) -26 (c) -13/3
a
Which is the second biggest value? (a) -4 (b) -0.72 (c) -1 (d) -20/29 (e) -0.4
d
Which is the second biggest value? (a) 0.2 (b) -2 (c) -102 (d) 0 (e) -0.2 (f) -4/3
d
What is the smallest value in -2, -50.2, -0.08, 1/5?
-50.2
What is the biggest value in 0.13, 324, -2/15, -0.4?
324
What is the biggest value in 4953, 3, 227?
4953
What is the third biggest value in 0.19, -2, -0.092?
-2
What is the third biggest value in -4/7, 1/3, 8, 0.08, -2, 5/2?
1/3
What is the fourth biggest value in -2/11, 1/2, -10, 52, -0.5?
-0.5
What is the biggest value in -1210, 2/31, -1/4, -0.1, 0.2, 4?
4
Which is the third smallest value? (a) -2 (b) 1/5 (c) 4 (d) -1400.5
b
What is the fifth smallest value in -3, -2/5, 275, 5, 315?
315
Which is the second biggest value? (a) 260 (b) -2/9 (c) -2 (d) 1.4
d
What is the biggest value in 42/11, -3/2, -21836?
42/11
What is the second biggest value in 94, -1/6, 1/18, 5?
5
What is the second smallest value in 409, 6, -2, 2/17?
2/17
Which is the fourth biggest value? (a) 3 (b) -2/9 (c) 0.07 (d) -0.07 (e) -1/112 (f) 2
e
What is the second biggest value in 21370, 1/4, 0?
1/4
What is the third biggest value in -0.4, -0.1, 0.491, -1/50?
-0.1
What is the smallest value in 15, 0.81058, 1?
0.81058
What is the fifth biggest value in 0, -0.3, -0.1, 63, 3?
-0.3
What is the third smallest value in 0.5, -52.6, -5, -1?
-1
Which is the biggest value? (a) 5 (b) 0.87 (c) 14 (d) 1/4
c
What is the second biggest value in -220/9, 3, -1?
-1
What is the fifth smallest value in -75, 14, 1, 1/3, 3?
14
What is the second biggest value in -2/43, -12/7, 24/11?
-2/43
What is the fifth smallest value in 0.3, 0.2, -530, -5, -1?
0.3
What is the biggest value in -5, 1468.8, 97?
1468.8
What is the fourth smallest value in -29/52, 4, 3, 4/3, -4?
3
Which is the biggest value? (a) 2/9 (b) -5 (c) -1852 (d) -2/13 (e) -1/5
a
Which is the third smallest value? (a) -70/3 (b) 2/41 (c) -7 (d) -1
d
Which is the second biggest value? (a) 1/2 (b) 3 (c) 2/11 (d) -1 (e) 0.6
e
Which is the biggest value? (a) 6/7 (b) -5 (c) 0.3 (d) 1579 (e) 121
d
Which is the fifth smallest value? (a) 1/7 (b) -5 (c) 27 (d) 0.07 (e) -3
c
Which is the biggest value? (a) 0.4 (b) 0.3 (c) 1568 (d) -132 (e) 1
c
Which is the second smallest value? (a) 0.4 (b) -0.308 (c) 5 (d) 0 (e) 7.1
d
What is the biggest value in -2, -2/7, 0.1, -1, 1, 2/997?
1
Which is the second biggest value? (a) -2/135 (b) 2/105 (c) -5/6
a
Which is the fifth smallest value? (a) -3/7 (b) -0.1 (c) -4 (d) -15 (e) 201 (f) 5
f
Which is the smallest value? (a) -0.3 (b) 0 (c) 20 (d) 6
a
Which is the biggest value? (a) -11 (b) 0.4 (c) -1 (d) 0 (e) -10
b
What is the fourth biggest value in -7, -2, 14/31, -0.3?
-7
What is the second biggest value in -2/3, 10, -0.06, 3/4, 0?
3/4
What is the biggest value in -2/9, -4, 1, -913022?
1
What is the second biggest value in -19/6, 4, 2, 3, -4/9, -2?
3
Which is the fifth smallest value? (a) 0.4 (b) 619 (c) 3/8 (d) -2/3 (e) -3/5
b
What is the second biggest value in 2/11, -5, -507, 1, -0.16, -0.2?
2/11
What is the third biggest value in 2433, -0.2, 15?
-0.2
Which is the biggest value? (a) 0.5 (b) 6 (c) 2.445 (d) -0.3
b
What is the fourth smallest value in 9, 4/1345, -2/9, -2/3?
9
Which is the fifth smallest value? (a) 100 (b) 1/13 (c) -1 (d) -4 (e) 7 (f) -3/8
e
Which is the biggest value? (a) -0.5 (b) 201 (c) 1 (d) -60 (e) -4/7
b
What is the fourth smallest value in 24, -1/2, 18, 3, 0.04?
18
Which is the third smallest value? (a) 3/49 (b) -132 (c) 4
c
Which is the second biggest value? (a) 0.5 (b) -0.3 (c) -7273/3
b
Which is the fourth biggest value? (a) 2/19 (b) -1/2 (c) 99 (d) 13 (e) -3
b
Which is the fifth smallest value? (a) -0.4 (b) -4/37 (c) -0.5 (d) 0.29 (e) 2/9
d
Which is the third biggest value? (a) 0.3 (b) 5 (c) 2 (d) -1/7 (e) -0.1 (f) 4/3
f
What is the third smallest value in -5, -7651.8, 20?
20
What is the third biggest value in -52, 0, -7/3, -38?
-38
Which is the third smallest value? (a) 2/25 (b) 3 (c) 4 (d) 0.6 (e) 1/5
d
Which is the fifth biggest value? (a) -0.4 (b) 0.4796 (c) 2 (d) 1/6 (e) 0.4 (f) 5
d
What is the fourth smallest value in 2/115, 0.2, -19/6, 0.15?
0.2
What is the sixth smallest value in 21/2, 0.2, -1/8, 16, -6, 1?
16
What is the third smallest value in 5, -4, -4783?
5
What is the third biggest value in 1, 5, 0.12, 36?
1
Which is the second biggest value? (a) -69 (b) -4 (c) -1/96 (d) 1/4
c
What is the smallest value in -333, 5, -1, 0.1?
-333
What is the fifth smallest value in 1/2, 0.3, 17, 0.2, 415, 0?
17
What is the second smallest value in 53, 14, -2/3, -4, | {
"pile_set_name": "DM Mathematics"
} |
-52*s**3 + 161*s**2 wrt s?
-312
What is the second derivative of -2258*j**5 - 752*j?
-45160*j**3
Find the third derivative of -346*j**3 - 151*j**2 + j wrt j.
-2076
What is the second derivative of b**2*t**2 - 3417*b**2*t - 267*t**4 wrt t?
2*b**2 - 3204*t**2
Find the third derivative of -1095*f**6 - f**3*j + 2*f**2*j + 2*f**2 - 56 wrt f.
-131400*f**3 - 6*j
Find the first derivative of -1606*i**2 - 2*i + 5508 wrt i.
-3212*i - 2
What is the derivative of 680*f*i**2 - 6*i**2 - 35*i wrt f?
680*i**2
What is the second derivative of 17*d**3*y**2 + 2*d**2*y**2 - 12*d**2 + 846*d*y + 4*y**2 wrt d?
102*d*y**2 + 4*y**2 - 24
What is the second derivative of 120*q**2 + q - 30 wrt q?
240
What is the first derivative of -231*k**3 - 144?
-693*k**2
What is the third derivative of -16*h**4*z - 52*h**4 - 17*h**2*z - 85*h*z + z wrt h?
-384*h*z - 1248*h
What is the second derivative of -50*j**5 - 3*j + 116?
-1000*j**3
What is the second derivative of -131*p**3*r**3 + 2*p**3*r - p**3 - 231*p**2*r - p*r**4 - 2*r**2 wrt r?
-786*p**3*r - 12*p*r**2 - 4
What is the second derivative of o**2*z**4 - 13*o**2*z**2 - 3*o**2*z + 15*o*z + 2*z**3 wrt z?
12*o**2*z**2 - 26*o**2 + 12*z
What is the first derivative of 4708*f**2 + 2900?
9416*f
What is the second derivative of -2*g**4 + 314*g**2*i*v**3 + g**2*i*v + 246*g*v**3 - 2*i*v**3 + 2*i wrt g?
-24*g**2 + 628*i*v**3 + 2*i*v
Differentiate 2*t**2*u**2*y - 2*t**2*u**2 + 10181*t*u**3 - 27*u**3*y with respect to y.
2*t**2*u**2 - 27*u**3
What is the derivative of -117*j**3 + 10*j + 2498?
-351*j**2 + 10
Find the second derivative of 2625*a**2*v**3 - 541*a*v**3 wrt a.
5250*v**3
Find the third derivative of -682*h**3 + 124*h**2.
-4092
Find the first derivative of 214*s*v + 349*v wrt s.
214*v
What is the third derivative of 5*p**3*v**3 + 102*p**3*v**2 + 13*p**2*v**3 + 2*p**2*v**2 - 3*p*v**3 + p wrt v?
30*p**3 + 78*p**2 - 18*p
What is the third derivative of -6*v**4 - 3*v**3*y - 4*v**3 - 137*v**2*y wrt v?
-144*v - 18*y - 24
What is the second derivative of -2*x**5 - 83*x**3 + 80*x wrt x?
-40*x**3 - 498*x
Differentiate 651*x**2 + 8204 wrt x.
1302*x
What is the third derivative of 14*i**3*u**3 + i**3*u**2*x - 6*i**2*u**2 - i*u**3*x**2 - 48*i*u*x**2 wrt u?
84*i**3 - 6*i*x**2
Differentiate 16*t**3 + 2*t**2 - 67 wrt t.
48*t**2 + 4*t
Find the first derivative of -4*a**4 + 1811*a + 2969 wrt a.
-16*a**3 + 1811
What is the second derivative of 755*w**2 - 833*w - 1 wrt w?
1510
Find the second derivative of z**5 - 1811*z**4 + 543*z.
20*z**3 - 21732*z**2
Find the first derivative of -13*d**2*f - 3*d*f**2 + f**2 - 264 wrt d.
-26*d*f - 3*f**2
Find the first derivative of -2*c**2*m - 110*c**2 + c*m + 218*m wrt c.
-4*c*m - 220*c + m
Find the first derivative of -2*a*y**3 + 22*a*y + 8*y**3 + 4 wrt a.
-2*y**3 + 22*y
What is the derivative of u**4 + 1243*u - 899 wrt u?
4*u**3 + 1243
What is the derivative of -d**3*g**3 - 9257*d**3 + 14026*d*g**3 wrt g?
-3*d**3*g**2 + 42078*d*g**2
What is the third derivative of d**3*r**2 - 243*d**3*v**3 + 2*d**2*v**3 + d**2*v + 31*d*r**2*v**3 wrt d?
6*r**2 - 1458*v**3
What is the first derivative of 238*w**4 + 130?
952*w**3
Find the second derivative of 87*a**3 - 157*a - 1 wrt a.
522*a
Find the second derivative of 63*g**3 - 14*g**2*j + g + 179*j - 2 wrt g.
378*g - 28*j
What is the derivative of 154*r**2 + 130?
308*r
Differentiate -2*f**3*m - 233*f**3*r - 100*f*m - m*r wrt r.
-233*f**3 - m
Find the first derivative of 105*j - 202 wrt j.
105
Find the third derivative of -19*a**5 - 6*a**4 + 12*a**3 + 2*a**2 - 6660.
-1140*a**2 - 144*a + 72
What is the derivative of 4*c*h*n*y - 21*c*n**2*y - 3*c*y**2 + 2*h*n**2*y**2 + 2*h*n**2*y + h*y**2 - n**2*y**2 wrt c?
4*h*n*y - 21*n**2*y - 3*y**2
Find the second derivative of -162*c**2*v**3*x - c**2*v - 10*c**2*x + 2*c*v**3*x + c*v**3 + c*v*x - 116*c*v - 4 wrt c.
-324*v**3*x - 2*v - 20*x
Find the third derivative of -f*q**4 - 4*f*q - 35*q**6 - 2*q**5 - 42*q**2 wrt q.
-24*f*q - 4200*q**3 - 120*q**2
What is the third derivative of 295*y**5 - 24*y**2 + 2*y?
17700*y**2
What is the derivative of 7*o**3 - 14*o**2*s**3 + s**3 + 17*s wrt o?
21*o**2 - 28*o*s**3
Find the second derivative of -154*i**5*u**2 + 3*i**3*u**2 - i*u**2 - 2*i - 8*u**2 wrt i.
-3080*i**3*u**2 + 18*i*u**2
What is the third derivative of 46*g**5*x + 2*g**3*x**2 + 2*g**2 - 161*x**2 wrt g?
2760*g**2*x + 12*x**2
What is the second derivative of m*y**4 - 393*m*y**3 - 230*m*y + 2*m wrt y?
12*m*y**2 - 2358*m*y
What is the second derivative of -19*a**2*b*z**2 - 14*a**2*b + a**2*z + 514*a*b*z**2 + b*z + 3*b + 3*z wrt z?
-38*a**2*b + 1028*a*b
Find the second derivative of g**2*o**5 + 2*g**2*o - 1285*g*o**5 - 2*g + 282*o - 2 wrt o.
20*g**2*o**3 - 25700*g*o**3
Find the second derivative of -98*i*o**2 - 67*i*o*u + 3*i*u**2 - o**2*u**2 - 2*o*u**2 wrt o.
-196*i - 2*u**2
Find the third derivative of -2*c**2*n**3 + 98*c**2*n**2 + 90*c*n**3 - 7*n**2 wrt n.
-12*c**2 + 540*c
What is the third derivative of -3326*j**3 + 178*j**2 wrt j?
-19956
What is the third derivative of -7*p*u**5 + 5*p*u**3 - 11*p*u - p - 2*u**2 wrt u?
-420*p*u**2 + 30*p
Find the second derivative of -4716*q**2*z**4 - 2*q**2*z + 2093*q**2 + q*z**5 + 5*q*z wrt z.
-56592*q**2*z**2 + 20*q*z**3
Differentiate g*t**3*z + 32*g*t*z + 4*g*z - 14*g + t*z + 2*z wrt t.
3*g*t**2*z + 32*g*z + z
Differentiate 2393*l*v - l + 84 with respect to v.
2393*l
What is the third derivative of -15*t**6 - 30*t**5 - 2*t**3 + 476*t**2 + 2?
-1800*t**3 - 1800*t**2 - 12
Find the third derivative of 13*f*w**5 + 13*f*w**4 - 2*f + 2*w**3 + 8*w**2 - 7*w wrt w.
780*f*w**2 + 312*f*w + 12
What is the first derivative of -4*b**3*c - 2*b**3*x + 15*b**3 + 14*b**2*c**2 - 3*b**2 - 2*c**3*x wrt c?
-4*b**3 + 28*b**2*c - 6*c**2*x
Differentiate g**4*z**3 - 1080*g**4 - 292*z**3 - 3 with respect to g.
4*g**3*z**3 - 4320*g**3
What is the third derivative of -5*y**5 + 91*y**3 + 134*y**2?
-300*y**2 + 546
What is the third derivative of -306*q**3 + 78*q**2 + 2*q?
-1836
Find the third derivative of 2*q**4*u**3 + 2*q**4 + 30*q**3*u**3 + 27*q**2*u**3 + 19*u**3 wrt q.
48*q*u**3 + 48*q + 180*u**3
What is the third derivative of -1387*x**3 - x**2 - 220*x?
-8322
What is the second derivative of -304*b**2*t**4 + 628*b**2 + 3*t**4 - t wrt t?
-3648*b**2*t**2 + 36*t**2
What is the second derivative of 9996*h**2*v**3 - 3*h*v**3 + 61*h*v**2 + 3*h wrt h?
19992*v**3
What is the third derivative of 143*b**6 - 2*b**4 + 852*b**2?
17160*b**3 - 48*b
Find the third derivative of -47*k**3*r**3*x**2 - 3*k**3*r**2*x**2 + 6*k**2*r**3*x + 10*k**2 - k*r**3*x**2 - 2*k*r**3*x wrt k.
-282*r**3*x**2 - 18*r**2*x**2
Find the second derivative of -4*l**5 + 33*l**2 + 2*l - 91.
-80*l**3 + 66
What is the second derivative of -7025*c*j**2 - c*j + c - j + 25 wrt j?
-14050*c
Find the first derivative of 146*j**2*n - j*n - 23*n - 8 wrt j.
292*j*n - n
Find the third derivative of -102*a**5*z**3 + 36*a**3*z**3 + a**2*z**3 - 5*a**2 - 74*a*z**3 wrt a.
-6120*a**2*z**3 + 216*z**3
What is the second derivative of 42*l**4*s + l*s + 58*l wrt l?
504*l**2*s
What is the second derivative of 2*a*o*v**3 - 2*a*v**3 - 8*a - 136*o**3*v**3 - 7*o**3*v + 4*o*v - 2*v wrt v?
12*a*o*v - 12*a*v - 816*o**3*v
Find the third derivative of 30*k**5 + 2*k**4*n**2 + k**3 - 5*k**2*n**2 + 19*k**2 wrt k.
1800*k**2 + 48*k*n**2 + 6
What is the first derivative of -11*b*h**3 - 11*b*h**2 + 2*b - h**3 + 26 wrt h?
-33*b*h**2 - 22*b*h - 3*h**2
What is the third derivative of 160*j**3 - 21*j**2 wrt j?
960
What is the derivative of 94*n + 311?
94
Find the first derivative of 3*d**3*h**2 - 487*d**3*h - 220*d**3 - 8*d**2 - 2*d*h**2 wrt h.
6*d**3*h - 487*d**3 - 4*d*h
What is the first derivative of -32*p*s**2*t + p*s**2 + 20*p*s*t**3 - 3*p + s + 500 wrt t?
-32*p*s**2 + 60*p*s*t**2
Find the third derivative of -1380*i*x**3 + 4*i*x + 24*x**2 wrt x.
-8280*i
What is the second derivative of 266*u**4 + 216*u?
3192*u**2
Find the second derivative of -1137*r**5 - 113*r + 12 wrt r.
-22740*r**3
What is the derivative of 943*o**3*r - o**2*r + 6191*r wrt o?
2829*o**2*r - 2*o*r
What is the second derivative of f**5 + 17*f**2 + 2*f - 71?
20*f**3 + 34
Find the third derivative of 256*f**4 + 2*f**3 + 23*f**2 + 6 wrt f.
6144*f + 12
What is the third derivative of 187*l**3 + 60*l**2 wrt l?
1122
Differentiate -50*j**3 + 10*j**2 | {
"pile_set_name": "DM Mathematics"
} |
0
Let a be 1100/(((-15)/400)/(660/(-8))). What is a rounded to the nearest one hundred thousand?
2400000
Let p = -231.838 + 233. What is p rounded to 2 dps?
1.16
Let r = 0.301 - -4.579. Let q = r + -0.38. What is q rounded to the nearest integer?
5
Let s = -251166190.999857 + 251165867. Let p = s - -324. What is p rounded to five decimal places?
0.00014
Suppose -q - 9 = -3*c, -3*q - 4*c + 7 = -5. Suppose -2*x + 175010 = -5*s, 2*s - 3*s + 3*x - 35015 = q. What is s rounded to the nearest ten thousand?
-40000
Let g = -171 + 185.2. Let f = 19 - g. What is f rounded to the nearest integer?
5
Let s = -10406719 + 10406654.99829. Let z = s - -64. Round z to 4 decimal places.
-0.0017
Let c = 9.08 - -3.64. Let n = 12.71999349 - c. Round n to 6 decimal places.
-0.000007
Let m = 53.97 + -47.6. Let c = 6.3699569 - m. What is c rounded to five decimal places?
-0.00004
Suppose 3 = -2*y - 13. Let t be ((-206250)/y)/((-3)/1152). Round t to the nearest 1000000.
-10000000
Let l = -31 - -46.2. Let o = 2.6 - l. What is o rounded to the nearest integer?
-13
Let x = -14.057 + 14.057005789. Round x to seven decimal places.
0.0000058
Suppose d = -z + 94399997, -2*z + 1 = 7. Round d to the nearest one million.
94000000
Let f = -55 - -54.969. Let x = 1250.70600108 - 1250.675. Let n = f + x. What is n rounded to 7 dps?
0.0000011
Let q = 189.48 + -186. Let t = 11.62 + q. Round t to zero dps.
15
Let q(b) = -56*b + 2. Let i be q(1). Let c = 93 + i. Let j = c - -3. What is j rounded to the nearest 10?
40
Let b = 1697.3473 + -1696. What is b rounded to two dps?
1.35
Let v be (6/4)/(31/(-126666)). What is v rounded to the nearest one thousand?
-6000
Suppose -l - 12 = -7*l. Suppose -l*q + 7*q + 3010 = 2*n, 1815 = -3*q + 3*n. What is q rounded to the nearest 1000?
-1000
Let w = 2.126 + 190.574. What is w rounded to the nearest 10?
190
Let r = -11.391995 + -9633.865005. Let o = r - -9641. Let q = o - -4.47. What is q rounded to two decimal places?
0.21
Let c be (-1)/4 + 46542/24. Let w = c + 1661. What is w rounded to the nearest one thousand?
4000
Suppose -3*q = -5*q + 4. Let p = -1480 + 1482. Suppose q*g - g - 810 = -p*b, -g = -b - 795. What is g rounded to the nearest one hundred?
800
Let v = 6911.99997177 - 6912. Round v to 6 dps.
-0.000028
Suppose -6 = -3*p + 9. Suppose 209 = 4*d - 423. Suppose -3*x = p*j + 15 + d, j = x - 33. What is j rounded to the nearest ten?
-30
Suppose -1 = -g + 2*l - 7, -4*g = 5*l - 41. Suppose 0 = 4*q - 3*m - 22399988, -m - 22400020 = -g*q - 6*m. Round q to the nearest 1000000.
6000000
Let g = 9.9501231 - 9.95. Round g to 5 decimal places.
0.00012
Let r = 45302 + -45301.980029. Let m = 0.42 + -0.4. Let g = m - r. Round g to 5 decimal places.
0.00003
Let c = 2343 - 2343.0505. Round c to 2 decimal places.
-0.05
Let j = 189.7 - 189.72118. Round j to three decimal places.
-0.021
Let j = -260.0000257 + 260. What is j rounded to five dps?
-0.00003
Let c = 0.10325 - -0.016. Let i = 0.119 - c. What is i rounded to five dps?
-0.00025
Let i = 16666.664 - 16591. Let g = -1.036 - i. What is g rounded to the nearest 10?
-80
Suppose 5*l + 7 - 1 = 4*w, 0 = 5*l + 4*w - 26. Let i be (-1)/((-2)/72*l). Let d be (-49199998)/12 + (-3)/i. What is d rounded to the nearest one million?
-4000000
Let m = 87 - 87.83. Round m to the nearest integer.
-1
Let q = 0.836 - -2.834. Let j = 3.6 - q. What is j rounded to one decimal place?
-0.1
Let y = 120.7 + -130.4. Round y to the nearest integer.
-10
Let l = -5289 - -5430.59. Let s = l - 141. Let i = s + 5.61. What is i rounded to zero decimal places?
6
Let y = -48 - -47.904. Let f = 0.1031 + y. What is f rounded to 3 decimal places?
0.007
Let q = 0.363 - 0.333. Let t = -563.73007 - -563.7. Let w = q + t. What is w rounded to 5 dps?
-0.00007
Let g(c) = -c**3 - 8*c**2 + 5. Let r be -12 - (-1 + 2 - 5). Let m be g(r). Suppose 0 = m*q + 1231 + 519. What is q rounded to the nearest one hundred?
-400
Let q be -3 - ((-3)/(-1) - 21). Suppose -c = 2*c - q. Suppose -2*h + 2*z - c*z + 191 = 0, 0 = 2*h - z - 187. Round h to the nearest 10.
90
Let l = -482647 - -812399. Let o = l + -329752.3099956. Let p = o - -0.31. Round p to six decimal places.
0.000004
Let k = -4231.195 + 8.195. Let i = 4223.05046 + k. Let j = 0.05 - i. Round j to 4 decimal places.
-0.0005
Let g = 415.38 + -420. Let r = g - -0.26. Let y = 0.14 - r. What is y rounded to zero decimal places?
5
Let u = 3743 + -3742.96733. What is u rounded to 3 decimal places?
0.033
Let b(x) = -4722344*x - 352. Let a(i) = -524705*i - 39. Let y(s) = 28*a(s) - 3*b(s). Let f be y(-17). Round f to the nearest one million.
9000000
Let f = 358.99999847 + -359. What is f rounded to 6 dps?
-0.000002
Suppose 0 = -5*u + r - 2 - 3, 15 = -2*u + 3*r. Suppose 4*d = u, -v + 4*d + 3340886 + 8459114 = 0. What is v rounded to the nearest 1000000?
12000000
Let n = 90.38 + -91. Let k = n + 0.59. What is k rounded to 3 dps?
-0.03
Let v(z) = -2*z - 9. Let a be v(-6). Let q be 311711/3*-17*a. Let o = q - -10599087. Round o to the nearest 1000000.
5000000
Let p = 11.9243 + 555.8207. Let t = p + -572.74494. Let k = -5 - t. Round k to 4 decimal places.
-0.0001
Let n = -787 - 4828. Round n to the nearest one thousand.
-6000
Let s = -31 + -128. Let q = 159.0000071 + s. Round q to 6 decimal places.
0.000007
Let d = 0.0143 + -0.005. What is d rounded to 2 dps?
0.01
Let c = 648.1 - 396. Round c to the nearest 10.
250
Let b = 199.6 - 201.721. Let p = b - -1.94. Let q = p - -0.17922. Round q to 4 decimal places.
-0.0018
Let t = -0.08657 - 7.27243. Let d = t + 0.059. What is d rounded to 0 dps?
-7
Let c = 1.6 + -1.69. Let f = -16.75904599 + 16.669046. Let a = f - c. What is a rounded to seven dps?
0
Suppose 0 = 5*h - 6*h - 4*d - 72084, -5*h - 360516 = -4*d. Round h to the nearest 10000.
-70000
Let a = -75855.36281 + 75850. Let h = -8.63 + 3.27. Let q = h - a. What is q rounded to four decimal places?
0.0028
Suppose -d + y = -17466 - 544, 3*y = 0. What is d rounded to the nearest one thousand?
18000
Let f = 24.691 - 24.661226. Let g = 0.109771 - f. Let c = -0.08 + g. What is c rounded to 5 dps?
0
Let v be (-116650 - 0)*129/(-215). What is v rounded to the nearest 10000?
70000
Suppose 0 = 4*h - 3*h - 5*t - 689730, -689730 = -h - 2*t. Suppose -12*r + h = 101730. Round r to the nearest ten thousand.
50000
Let z(t) = -116664*t - 9. Let k be z(-6). Suppose 1477121 = 3*b - 4*d + 427101, 2*b + 5*d - k = 0. What is b rounded to the nearest 100000?
400000
Let g = 48.6559 + -0.1759. What is g rounded to zero decimal places?
48
Let m = 56 - -9. Let n = 65.072 - m. Round n to two dps.
0.07
Let f = -9690248 - -9690251.10000056. Let m = 3.1 - f. Round m to seven decimal places.
-0.0000006
Let d = 1.3973 - -57.7867. Let l = d - 59. Let o = l - 0.14. What is o rounded to two decimal places?
0.04
Let n = -14.3288034 - -0.3287754. Let f = 13.6 + 0.4. Let z = n + f. What is z rounded to 5 decimal places?
-0.00003
Let l = 3.369325 - 7.2295. Let u = 5.06018 + l. Let w = u + -1.2. What is w rounded to six dps?
0.000005
Let r = 44.400172 + -44.4. What is r rounded to 4 dps?
0.0002
Let j(q) = 309*q**2 + 11*q - 94. Let p be j(8). Round p to the nearest one hundred.
19800
Suppose -4*l - 5 = 7. Let y be 29/l*(-2 - 3763). Let m = y - -13605. What is m rounded to the nearest 100000?
100000
Let w = -743104 - 1409896. Round w to the nearest 100000.
-2200000
Let d = 0.02 + -1.02. Let x = -1.07 - d. Let s = x - -0.070068. What is s rounded to five decimal places?
0.00007
Let l = 2.04 + -3. Let d = -1.031 - l. What is d rounded to two decimal places?
-0.07
Let x = 2338901 - 2338884.000304. Let g = -17 + x. What is g rounded to four decimal places?
-0.0003
Let g(k) be the first derivative of 1005*k**2/2 - 20*k - 9. Let j be g(4). What is j rounded to the nearest one thousand?
4000
Let h be (8633 + -3)*2/4. Suppose 3*v - 4*z = 4355, -6*z + h = 3*v - 2*z. Let d = 955 - v. Round d to the nearest 100.
-500
Let r = -9.456 - -0.056. Let h = r - -9.399828. What is h rounded to five decimal places?
-0.00017
Let w = 1927.09 + -1966. Let u = -39 - w. Round u to one decimal place.
-0.1
Let s = -433.578 + 434. Round s to one decimal place.
0.4
Let y(v) = -10686*v**2 + 149*v. Let g be y(-16). Round g to the nearest 100000.
-2700000
Let z = 3.43506 - -3.065392. Let d = | {
"pile_set_name": "DM Mathematics"
} |
036 divided by 204
-59
Calculate -87 divided by 5.
-87/5
Divide 220 by 4.
55
2880 divided by -5
-576
Calculate 2822 divided by -1.
-2822
What is 96 divided by 8?
12
12 divided by 12
1
Divide -1285 by 5.
-257
Calculate -275 divided by -55.
5
What is 4176 divided by -3?
-1392
Divide -6167 by 5.
-6167/5
Divide 1245 by 249.
5
1474 divided by -1474
-1
Calculate 6 divided by 423.
2/141
Divide -5464 by 1366.
-4
What is 45 divided by 71?
45/71
Calculate 1 divided by 95.
1/95
-338 divided by 26
-13
Divide 5 by -189.
-5/189
What is -4074 divided by 1358?
-3
What is -10 divided by -504?
5/252
0 divided by 628
0
5 divided by -84
-5/84
Calculate -6479 divided by -5.
6479/5
-3 divided by -49
3/49
-849 divided by 283
-3
83 divided by -4
-83/4
What is -477 divided by -9?
53
Calculate -1 divided by 14.
-1/14
0 divided by 3
0
What is -8 divided by 296?
-1/37
16298 divided by 29
562
43 divided by 141
43/141
Divide -17226 by -99.
174
Divide 233 by -1.
-233
3 divided by 684
1/228
What is -912 divided by -4?
228
Calculate 441 divided by 63.
7
Divide -480 by -240.
2
What is 13488 divided by -16?
-843
2 divided by 66
1/33
Calculate -2160 divided by 2160.
-1
-1155 divided by -165
7
Calculate -3 divided by -8.
3/8
What is 206 divided by 4?
103/2
Divide -81 by 27.
-3
What is -112 divided by -16?
7
Calculate -2 divided by -79.
2/79
Calculate -1 divided by -202.
1/202
What is -4187 divided by -53?
79
-1428 divided by 204
-7
Calculate 6 divided by -3.
-2
Calculate -53 divided by 7.
-53/7
Divide 780 by -13.
-60
Divide -8500 by -68.
125
Calculate 34 divided by 11.
34/11
Divide 3 by -456.
-1/152
26 divided by -511
-26/511
Calculate 4 divided by -804.
-1/201
-12 divided by -2582
6/1291
444 divided by 3
148
Calculate -2228 divided by 4.
-557
What is 16 divided by -1?
-16
164 divided by 41
4
Divide 63829 by -6.
-63829/6
Calculate -276 divided by 138.
-2
Calculate -2976 divided by -96.
31
Divide -13 by 117.
-1/9
Divide -9 by 11.
-9/11
Calculate 208 divided by -4.
-52
-285 divided by 15
-19
1 divided by -154
-1/154
Calculate 68 divided by -6.
-34/3
What is -10282 divided by 97?
-106
Calculate -4 divided by -777.
4/777
-3295 divided by -2
3295/2
What is 1 divided by -61?
-1/61
-476 divided by 68
-7
What is 486 divided by 6?
81
Calculate -1221 divided by -407.
3
Divide -75 by 15.
-5
What is -1466 divided by -2?
733
Calculate -84 divided by -12.
7
Divide -1510 by 1.
-1510
What is 13 divided by 527?
13/527
Divide -28 by 73.
-28/73
Calculate 1023 divided by -3.
-341
-4 divided by 4999
-4/4999
What is -1616 divided by -4?
404
-4 divided by -428
1/107
-64 divided by 4
-16
Divide -1848 by -6.
308
Calculate 3 divided by -911.
-3/911
636 divided by 6
106
What is -128 divided by -2?
64
8 divided by 167
8/167
What is 2443 divided by -2?
-2443/2
What is 7 divided by -102?
-7/102
87 divided by -3
-29
What is -16810 divided by -3362?
5
Calculate -2 divided by -1.
2
What is -37 divided by -2?
37/2
Calculate -42 divided by -6.
7
-1 divided by -826
1/826
Divide 434 by -14.
-31
What is -1265 divided by -5?
253
Divide 25 by 11.
25/11
Calculate 4866 divided by 1.
4866
-1870 divided by -22
85
What is 5 divided by -31?
-5/31
What is -1 divided by 332?
-1/332
-7 divided by -2924
7/2924
-46 divided by 4
-23/2
Divide -1236 by 4.
-309
What is -86940 divided by 5?
-17388
Divide 4 by -68.
-1/17
Calculate 34 divided by -76.
-17/38
Divide 443 by 56.
443/56
7 divided by -2791
-7/2791
Divide -3 by 99.
-1/33
Divide 1321 by -5.
-1321/5
What is 255 divided by -5?
-51
What is 3 divided by 6?
1/2
What is 1271 divided by -1271?
-1
Calculate 9 divided by -28.
-9/28
Divide -125 by 9.
-125/9
Divide -2016 by -8.
252
Divide -66 by 60.
-11/10
Divide 40 by 1.
40
-1558 divided by 2
-779
What is -11 divided by -3?
11/3
19 divided by -20
-19/20
Calculate 6 divided by 3679.
6/3679
-4 divided by -73
4/73
Divide -15 by -163.
15/163
What is -7231 divided by -6?
7231/6
Divide -74 by 2.
-37
-1290 divided by -6
215
Calculate -7338 divided by 6.
-1223
What is 0 divided by 867?
0
Calculate 0 divided by 502.
0
Calculate -2673 divided by 5.
-2673/5
Divide 942 by -2.
-471
Calculate 4 divided by -29.
-4/29
1968 divided by 164
12
11736 divided by -6
-1956
What is -334 divided by 14?
-167/7
What is -3312 divided by -36?
92
Divide -139 by -4.
139/4
1101 divided by -6
-367/2
Calculate 64345 divided by -5.
-12869
Divide 321 by 1.
321
Divide 1733 by 5.
1733/5
Divide 986 by -3.
-986/3
-606 divided by 7
-606/7
What is -10392 divided by 2598?
-4
What is -9 divided by -18?
1/2
354 divided by 59
6
-368 divided by 8
-46
4215 divided by 15
281
Divide -219 by -73.
3
Calculate 390 divided by -130.
-3
What is -155 divided by 5?
-31
Divide -183 by 183.
-1
What is 1056 divided by -96?
-11
1 divided by 55
1/55
What is -63 divided by -21?
3
Divide 0 by 51.
0
77 divided by -1
-77
What is -268 divided by 2?
-134
Divide 644 by 4.
161
-188 divided by -94
2
-149 divided by -149
1
What is 131 divided by -2?
-131/2
1089 divided by -3
-363
Calculate 805 divided by 7.
115
Calculate 225 divided by -5.
-45
10 divided by 487
10/487
What is -666 divided by -37?
18
What is 0 divided by -2000?
0
-5 divided by -176
5/176
4730 divided by 946
5
What is -2887 divided by -3?
2887/3
What is -225 divided by 15?
-15
Divide -6 by -7.
6/7
Divide -4 by 14.
-2/7
What is 8225 divided by 235?
35
What is 0 divided by -22?
0
4366 divided by -37
-118
-2993 divided by 3
-2993/3
4 divided by -17
-4/17
Calculate -78 divided by 39.
-2
288 divided by 4
72
-120 divided by 1
-120
What is -106 divided by -36?
53/18
What is -441 divided by -9?
49
What is 1662 divided by -4?
-831/2
What is 33 divided by 33?
1
5 divided by 574
5/574
Calculate -24 divided by -12.
2
-52 divided by 8
-13/2
What is 583 divided by 11?
53
3078 divided by 1539
2
What is -132 divided by 6?
-22
What is 13184 divided by 4?
3296
Divide -2786 by 1393.
-2
What is -497 divided by 7?
-71
What is 2694 divided by 449?
6
Divide -4 by 1458.
-2/729
157 divided by 12
157/12
Divide -158 by -1.
158
Calculate 132 divided by -66.
-2
-10 divided by 5
-2
What is 5 divided by 168?
5/168
Divide -50 by -5.
10
Divide -262 by 20.
-131/10
Calculate 1701 divided by 3.
567
Calculate 0 divided by 1177.
0
Calculate -286 divided by -5.
286/5
3604 divided by -901
-4
Calculate 745 divided by 5.
149
Calculate 36568 divided by 4.
9142
291 divided by 291
1
Divide 99 by -3.
-33
What is -20652 divided by -6?
3442
Divide 15 by -3.
-5
What is 387 divided by 43?
9
Divide 104 by 6.
52/3
-2164 divided by 4
-541
What is 1223 divided by -1?
-1223
What is -84 divided by -3?
28
Divide 65 by 17.
65/17
Calculate -1 divided by 123.
-1/123
Calculate 17586 divided by 5862.
3
-54 divided by -27
2
Calculate 0 divided by 52.
0
Divide 2 by -33.
-2/33
-665 divided by -133
5
Divide 48 by -8.
-6
Calculate -1 divided by -31.
1/31
-980 divided by -196
5
What is -13 divided by -372?
13/372
0 divided by -63
0
Calculate 1018 divided by 509.
2
Divide 250 by -125.
-2
What is -7875 divided by -375?
21
2031 divided by -8
-2031/8
-3 divided by -1250
3/1250
Divide -3 by -8.
3/8
What is 2765 divided by 5?
553
Divide -96 by 5.
-96/5
-218 divided by 2
-109
-520 divided by -104
5
-4320 divided by 2
-2160
Calculate -1426 divided by 5.
-1426/5
Calculate 37 divided by 6.
37/6
What is -42 divided by 2?
-21
Calculate 27200 divided by -272.
-100
Calculate -6 divided by -20.
3/10
Divide -5 by -12.
5/12
Calculate 3381 divided by -3.
-1127
196 divided by 49
4
Divide -100 by -10.
10
Calculate -1085 divided by -3.
1085/3
What is -1 divided by 83?
-1/83
What is 57 divided by -10?
-57/10
Divide -17 by -181.
17/181
1782 divided by -198
-9
18170 divided by 5
3634
Divide 0 by 28.
0
Calculate 621 divided by -23.
-27
What is -450 divided by -50?
9
5 divided by -82
-5/82
Divide -1239 by 7.
-177
Divide -2544 by 6.
-424
Divide -893 by -6.
893/6
What is -215 divided by 5?
-43
Divide -69 by -65.
69/65
Divide 0 by -3392.
0
What is 4 divided by -57?
-4/57
Calculate 11240 divided by 2248.
5
Divide 15 by 3.
5
104 divided by -13
-8
What is -95 divided by 5?
-19
3905 divided by -3905
-1
Divide -572 by 44.
-13
What is -65 divided by 1?
-65
Divide 861 by -5.
-861/5
What is -3575 divided by -143?
25
What is 198 divided by -11?
-18
-144 divided by -16
9
Calculate 380 divided by -10.
-38
What is -3 divided by 1278?
-1/426
Divid | {
"pile_set_name": "DM Mathematics"
} |
p*p/(p/((p/(p**1/p))/p)*p*p)*p/(p*p/((p/(p**(-12/7)*p)*p)/p))*p/(p/(p**(6/17)*p))*p*p/p**(-1/5) assuming p is positive.
p**(1944/595)
Simplify (l*l**0*l*l*l)**22/((l*l**6)/(l*l**(-1/4)*l)) assuming l is positive.
l**(331/4)
Simplify (x*(x*x**(1/2))/x)**(-5)/(x**(-3/13)/x)**(-13/3) assuming x is positive.
x**(-77/6)
Simplify (((t/((t*t**33)/t))/t)/t**(-22))/((t/(t/t**(23/4)))/((t*(t*t**(-2/15))/t)/t)) assuming t is positive.
t**(-1013/60)
Simplify (a**(1/5)*a**(3/2)/a)/(a*a**(-1/2)*a**(-4/13)) assuming a is positive.
a**(33/65)
Simplify t/(t*t*t**(-2/15))*t/(((t/(t*t**6/t))/t)/t)*t**10*t**10 assuming t is positive.
t**(407/15)
Simplify ((v/(v**(-5)/v)*v*v)/v**(-1/4)*(v**(-2/3)*v)**(-2/41))**21 assuming v is positive.
v**(31801/164)
Simplify (y**21*y**(3/4))/(((y/y**18)/y)/(y/(y*y**(1/2)))) assuming y is positive.
y**(157/4)
Simplify ((w**(14/5)/w)**(-14))**(-40) assuming w is positive.
w**1008
Simplify (g/(g*g*g**(-2/5))*g*(g**2*g*g)/g*(g**(1/4))**23)**(1/10) assuming g is positive.
g**(183/200)
Simplify (y**(2/21))**(27/5)/(y/y**31*y**(3/7)) assuming y is positive.
y**(1053/35)
Simplify (p*p/(p/((p/(p/((p**(1/4)*p)/p*p*p)))/p)))**(-26)*(p/p**(2/11))/(p/((p*p**7)/p)) assuming p is positive.
p**(-1137/22)
Simplify ((m**(4/3))**(3/5))**(-9/5) assuming m is positive.
m**(-36/25)
Simplify (j**5)**(-17)/(j/(j**8/j))**42 assuming j is positive.
j**167
Simplify (n*n**(-2/17))**(2/89)*((n*n**5)/n)**(2/29) assuming n is positive.
n**(16000/43877)
Simplify (u*u**(-8)*u*u*u**(-1/5)*u)/((u**(6/5)/u)/u**(-11)) assuming u is positive.
u**(-77/5)
Simplify (c**2/c*c*(c*c**(-1/2)*c*c)/c*c**1*c/(c/c**6))**(-6) assuming c is positive.
c**(-63)
Simplify x*x**14/x*x**(1/13)*x**17/x**(-8/3) assuming x is positive.
x**(1316/39)
Simplify (g**(-3))**(-2/71)*g/(g/(g/g**(-7)))*g**29*g*g assuming g is positive.
g**(2775/71)
Simplify ((r**(-5)/r)/(r/(r/r**24)*r))**(-4/11) assuming r is positive.
r**(124/11)
Simplify (((b/(((b**(-11)/b)/b)/b)*b)/(b/b**1))**(-3/23))**34 assuming b is positive.
b**(-1632/23)
Simplify ((a/a**0)/a)**(-6/5)/((a*a/(a**(1/6)*a))/(((a/a**(3/19))/a)/a)) assuming a is positive.
a**(-227/114)
Simplify ((a**(-2/3))**47)**(-31) assuming a is positive.
a**(2914/3)
Simplify s*s**14*s**(-12)*s**(2/17)*s**(3/8) assuming s is positive.
s**(475/136)
Simplify (j**3)**14*j**(1/15)*j**11 assuming j is positive.
j**(796/15)
Simplify o/o**(-2)*o**15*(o/(o/o**(-14)))/(o**(-2/35)/o) assuming o is positive.
o**(177/35)
Simplify (h**(-1/9))**33*(h**3)**(-1/24) assuming h is positive.
h**(-91/24)
Simplify g*g**(-3/8)*g*g*g**(2/23)*(g*g*g*g/g**(-3/5))/g*g/(g/(g**(-1/4)*g))*g assuming g is positive.
g**(7417/920)
Simplify (((z/z**(-3))**(-1/5))**2)**(-18) assuming z is positive.
z**(144/5)
Simplify (((a**(4/3)*a)**(-1/8))**13)**(-24) assuming a is positive.
a**91
Simplify i**(-25)*i**(-20)*i*i*(i/i**3)**16 assuming i is positive.
i**(-75)
Simplify (((s*s**0)/s)**(12/11)/(s*s**0)**25)**26 assuming s is positive.
s**(-650)
Simplify ((q*q/(q/q**(-1/2)))**(-12)/((q*q**7)/((q**(-6)*q)/q)))**(-30) assuming q is positive.
q**600
Simplify (((i**(-2/11)*i)**29)**(-11/9))**25 assuming i is positive.
i**(-725)
Simplify ((h/(h/h**(1/4)))**(28/5)*h/h**(2/3)*h**2*h)**33 assuming h is positive.
h**(781/5)
Simplify (((z*z*((z*z**(-7)/z*z)/z*z*z)/z*z)**13)**(-44))**(-5/17) assuming z is positive.
z**(-8580/17)
Simplify ((l*l*l*l**1)**(5/19)*(l*l/(l*l**(-1)))**(12/11))**(-2) assuming l is positive.
l**(-1352/209)
Simplify ((w*w/(w*w*(w*w**(1/26))/w*w))/(w*w**(-8)/w))/(w**(-1)*w*w*(w**(-12)/w)/w*w) assuming w is positive.
w**(493/26)
Simplify (h*h/h**5*h/h**(4/17))/(((h/(((h*h**(1/5))/h)/h))/h)/h*h**(1/6)*h) assuming h is positive.
h**(-1633/510)
Simplify (g/(g*g**(-1/8)/g*g))/g**(-3/7)*(g**1*g)/(g**(2/3)*g*g) assuming g is positive.
g**(-19/168)
Simplify (r/(r/(r/(r*r**(-7))*r)*r)*r/(r/r**(-5))*(r**0)**(-1/15))**(1/50) assuming r is positive.
r**(1/25)
Simplify (f**(-2/3))**(1/76)*f*f*f/(f/f**(-12))*f*f**(-12) assuming f is positive.
f**(-2395/114)
Simplify (b**(-1/4)*b**(-1)/b)/(b**14/((b*b**(-1/17))/b)) assuming b is positive.
b**(-1109/68)
Simplify (v**21/v)**13/(v**3/v)**(7/5) assuming v is positive.
v**(1286/5)
Simplify (r**(2/9)*r**(-7)/r)**(2/5) assuming r is positive.
r**(-28/9)
Simplify (v**10/v)/v*v*v/(v/(v**16*v)*v)*v*v*v**14*v*v/(v**(-5)/v) assuming v is positive.
v**49
Simplify (h**(2/21)/h)**(6/11)/(h**13/h*h*h*h**12*h) assuming h is positive.
h**(-2117/77)
Simplify (((n/n**(-2/5))/n*n*n)/n*(n/(n/(n/(((n*n/((n/(n**(-2/55)/n))/n))/n)/n))))/n)/(n**6/((n*(n**3/n*n)/n)/n)) assuming n is positive.
n**(-86/55)
Simplify l/(l/l**(-2/83))*l/l**(-12)*(l/((((l*l**(-10)*l)/l)/l)/l))**(-23/2) assuming l is positive.
l**(-10377/83)
Simplify (t**(-8/3)/t)/t**(-16)*t**(-3/5)/t*t**(10/11) assuming t is positive.
t**(1921/165)
Simplify (m/(m/(m/(m/(m*(m*m*m**(-12))/m*m)))))/(m/(m/((m*m**16)/m)))*(((m*m**(-2/17)*m)/m)/m)**14 assuming m is positive.
m**(-453/17)
Simplify ((a/a**1)/a)**(-48)/((a**6/a)/(a*a**2*a*a)) assuming a is positive.
a**48
Simplify ((p/(p*p**(3/10)))/p*p**9/p)/(p**(-4/3)*p/p**0) assuming p is positive.
p**(211/30)
Simplify (b**17/b**0)/(b*b*b/(b*b/(((b/b**(8/9))/b)/b))*b*b*b**(-18)*b) assuming b is positive.
b**(296/9)
Simplify v**12/(v**(-4)*v)*((v/(v*(v**(6/7)*v)/v))/v)**6 assuming v is positive.
v**(27/7)
Simplify (j**(4/15)*j*j**(-35))**(-1/3) assuming j is positive.
j**(506/45)
Simplify (((o*o**0/o*o)/o)**(27/4)/(o**(-1/4))**(-1/33))**(-1/42) assuming o is positive.
o**(1/5544)
Simplify (s*s*s*s*s**(-7)*s)/(s/((s/(s**(1/4)/s*s))/s))*((s*s**(-3/2))/s*s)**(-12/7) assuming s is positive.
s**(-67/28)
Simplify (((z/z**(-6))**(-2/49))**(-2))**16 assuming z is positive.
z**(64/7)
Simplify (z**(-12)*z**(-4/9)/z)/((z/(z*z**3*z))/(z/(z**(7/6)/z))) assuming z is positive.
z**(-155/18)
Simplify h*h/h**(-4/9)*h*h**(-16)*h*(h*(h*h*h*(h/(h**0/h))/h)/h*h*h*h)**(-11/5) assuming h is positive.
h**(-1213/45)
Simplify (d**(-1/2)*d)**4/(d**(-3/14)/(d/((d**(-4/9)*d)/d))) assuming d is positive.
d**(461/126)
Simplify d**20*d**(-14)*(d**13)**(-44) assuming d is positive.
d**(-566)
Simplify (u/(u/((u**(-11)*u)/u)))/u*u*u*u**(-3)*u*u**(-3/10)/(u**(1/5)*u) assuming u is positive.
u**(-27/2)
Simplify (a**(-3/7))**(-2/93)*a**(3/11)*a**(5/4) assuming a is positive.
a**(14627/9548)
Simplify ((j/(j**(-18)/j))**(19/4))**(-7/2) assuming j is positive.
j**(-665/2)
Simplify ((o*o*o**(3/4)*o)/o*o)**(-3/37)*o**12*o*o**0 assuming o is positive.
o**(1879/148)
Simplify (h**(-3)/(((h**(-7)*h)/h)/h))/(h**6/h**6) assuming h is positive.
h**5
Simplify ((c/(c*c**(2/29)))/c**5)**(-29) assuming c is positive.
c**147
Simplify ((x**(-5/7)*x)/(x*x*(x/(x**(-15)*x*x*x)*x)/x))/(x**(-19)/(x*(x**19*x*x)/x)) assuming x is positive.
x**(177/7)
Simplify ((d**(-1/10)/d**(-7))**34)**(-15) assuming d is positive.
d**(-3519)
Simplify (j/(j*((j/j**6)/j)/j*j)*j**2/j*(j/(j**3*j))/j**(1/5))**46 assuming j is positive.
j**(874/5)
Simplify (u*u*u/u**2)**(-3/2)/(u/(u**12/u))**5 assuming u is positive.
u**(97/2)
Simplify (o**2)**(-35)*o**13/(o*o**(-2)) assuming o is positive.
o**(-56)
Simplify (o**(-2))**9/(o/o**(-1/10)*o/(o**(-1/15)/o)) assuming o is positive.
o**(-127/6)
Simplify (((k*k/k**(-2/7))/(k/(k**(-7)*k)))/(k*(k*k/(k**1/k))/k*k)**(-1/7))**(-1/51) assuming k is positive.
k**(10/119)
Simplify (y*(y/y**18)/y)**(34/7)/(y**(2/99)*(y*y**19)/y) assuming y is positive.
y**(-70403/693)
Simplify (p*p**(-4))**(3/11)*(p/((p**(5/2)/p)/p))**(2/5) assuming p is positive.
p**(-34/55)
Simplify (o**(-2/3))**(2/93)*o**5/(o**(14/9)/o) assuming o is positive.
o**(412/93)
Simplify (p**3/p)**(-2/47)/((p/((((p*(p*(p*p**(-1/6))/p)/p)/p)/p)/p)*p)/(p/(p*p**(-16)))) assuming p is positive.
p**(3313/282)
Simplify m**(-2/21)*m**31*m*((m/(m**19/m))/m)**(4/19) assuming m is positive.
m**(11218/399)
Simplify a**(-16)*a**(4/7)*a*a**31/a**(2/11) assuming a is positive.
a**(1262/77)
Simplify (((y*((y/(y*y**(-24)*y*y))/y)/y*y*y)/y)/y**(3/4))/(y**(-6)*(y/(y**(1/29)*y))/y) assuming y is positive.
y**(3281/116)
Simplify y**(-2/5)/(y/(y**(-4/9)*y))*(y**(-1/5))**(5/3) assuming y is positive.
y**(-53/45)
Simplify ((((d/(d*d*d/(d**2*d)))/d)**(-2/45))**(-31/2))**38 assuming d is positive.
1
Simplify (v**(-27)/v*v**(-1))/(v**(2/67)*v*v/(v*v*v*v**(-3/4))*v*v) assuming v | {
"pile_set_name": "DM Mathematics"
} |
second biggest value? (a) -26/11 (b) 61.8 (c) 17
c
What is the fourth biggest value in -7, -1, -0.12, -1/2, 2274, 0, -0.1?
-0.12
Which is the fourth smallest value? (a) 0.01 (b) 1/4 (c) 2/11 (d) -40 (e) -24 (f) -3/7 (g) -1.7
f
What is the second biggest value in 237/7, -0.362, -46?
-0.362
What is the fourth smallest value in 2, -0.3, -0.1, 12/247, 0, -1/6?
0
Which is the sixth smallest value? (a) -5 (b) -1/25 (c) 3 (d) 4/7 (e) 2/5 (f) -49 (g) 3/68
d
Which is the seventh smallest value? (a) 871 (b) -9 (c) -1/3 (d) 0.1 (e) 4 (f) 1 (g) 3
a
What is the smallest value in -13, -912, 54/11?
-912
Which is the biggest value? (a) -4 (b) 0.4 (c) 8.62 (d) -0.1 (e) 2 (f) -149 (g) 7
c
Which is the second smallest value? (a) -3/13 (b) 7 (c) -3.6 (d) 6
a
What is the third smallest value in -1, 13463570, 3?
13463570
What is the biggest value in 32543, 3/193, 0.03?
32543
Which is the seventh smallest value? (a) -0.5 (b) -1/9 (c) 0.1 (d) -13 (e) -5 (f) -0.4 (g) 113
g
What is the fifth biggest value in -0.1, 2/11, -2/7, 0.11, 0.04?
-2/7
Which is the fifth smallest value? (a) -9369 (b) 5 (c) 345 (d) 7/5 (e) -2/11
c
Which is the second biggest value? (a) -2/11 (b) 0.2 (c) 0.125 (d) 2218/7 (e) -1/6 (f) 4
f
What is the second smallest value in -419, -28, 50/11?
-28
What is the biggest value in -25/7, 0, -2/79383?
0
What is the fifth biggest value in -0.06, 5, 1/4, -1/6, 0.12, -0.3?
-1/6
Which is the third biggest value? (a) -4 (b) 4086 (c) 1/2 (d) -0.028
d
Which is the sixth smallest value? (a) -1 (b) 6 (c) 0.04 (d) 0.3 (e) -1/4 (f) 6/5
b
What is the second smallest value in -1, 6, -58, -85978?
-58
Which is the smallest value? (a) -0.2 (b) 11 (c) -0.96 (d) 1.35
c
Which is the third smallest value? (a) -0.01 (b) -1929 (c) -0.03 (d) -4 (e) 5
c
Which is the second biggest value? (a) 1.2588 (b) -99 (c) 0.4
c
What is the third biggest value in 0, -0.1, 56, 1, -87, -203.7?
0
What is the smallest value in 0.3, -3, 631, 60, 2/11, 2?
-3
Which is the biggest value? (a) -46 (b) -2.09 (c) 2/291 (d) 3 (e) -0.5
d
Which is the third biggest value? (a) -3 (b) 10132481 (c) -2
a
Which is the second biggest value? (a) 0 (b) -15 (c) 5 (d) 2814 (e) 1/21
c
Which is the fourth smallest value? (a) 0.1 (b) -5 (c) 479.5 (d) -4/3 (e) -3 (f) 1 (g) -1
g
What is the second biggest value in -2/7, 0.5, -5/12, 0.796, 2/3, -0.1, 0.3?
2/3
What is the biggest value in 1, -2/13, 1.45, 7845, 0.07?
7845
Which is the second biggest value? (a) 1/63 (b) -3/2 (c) 0.2 (d) -353/8
a
What is the third smallest value in -23, -96, 169/4?
169/4
What is the fourth smallest value in 17, -483, 14749, -4?
14749
Which is the biggest value? (a) -4409263 (b) 0.1 (c) 2
c
What is the smallest value in -17, -181662, -0.01?
-181662
What is the fourth smallest value in -10, -4, 0.0416, -2/17, 2/9, -0.084?
-0.084
What is the seventh smallest value in -3, 2/9, 3/5, -1/48, 29, -2, -1?
29
What is the biggest value in -0.8, -0.1, 3, -1/3, -825, 5, -3?
5
Which is the biggest value? (a) -2/19 (b) 1/3 (c) 5 (d) -3080467 (e) 0.3
c
What is the third smallest value in -2, 0, -0.2, 0.3, 2651, -6.4?
-0.2
Which is the third smallest value? (a) -12/5 (b) 0.9 (c) -0.6 (d) -5 (e) 0.1 (f) 0
c
Which is the sixth smallest value? (a) 41 (b) -147 (c) 4/7 (d) 1/6 (e) 2/5 (f) 1/3
a
What is the biggest value in -1/9, 2/3, -13/43, 0, 3?
3
Which is the second smallest value? (a) 257 (b) -0.1 (c) 0.2842 (d) -6
b
What is the sixth biggest value in -3, 2, -2/25, 4, -1.03, 36, -4?
-3
What is the smallest value in -2/7, -9/5, 3/8, -93, 4, -2/17, -4?
-93
What is the fifth smallest value in -136, -15, 0.3, 186/43, 0?
186/43
What is the fourth biggest value in -2, 0, 201, -1/2, -223?
-2
What is the smallest value in 8294, 1593, 0, 0.1, -3?
-3
What is the smallest value in 68, 0.1, -1/3, -27453/2?
-27453/2
What is the smallest value in -52/5, 453990, -1, -4, 2?
-52/5
Which is the third smallest value? (a) 0.4 (b) 0.3 (c) 7.9765 (d) -33
a
What is the fourth smallest value in 3/2, -396/185, -7/2, -1.9?
3/2
Which is the smallest value? (a) 168999/4 (b) -37 (c) -5
b
Which is the third biggest value? (a) -2/73 (b) 30 (c) -1/4 (d) 1/4 (e) 1/274 (f) -3 (g) 2/15
g
What is the biggest value in -15, 13.4, 777, -3?
777
What is the third biggest value in -1/5, -4.6520753, -5?
-5
Which is the biggest value? (a) -2 (b) 104074 (c) 12
b
What is the second smallest value in -299.5, 7/2, -9?
-9
Which is the second biggest value? (a) 9.9 (b) -2/5 (c) -9 (d) -4 (e) 2/5 (f) -1/4 (g) 8.4
g
Which is the second smallest value? (a) -48/7 (b) 1/2 (c) 0.1459 (d) -2
d
Which is the fourth smallest value? (a) -15 (b) 23/45 (c) -1.1 (d) 1/4 (e) 3 (f) -1 (g) 0.3
d
What is the second biggest value in 1/11, -131, -4/22987?
-4/22987
What is the smallest value in 1158, 285, 1/6?
1/6
Which is the third smallest value? (a) 2740.6 (b) 0 (c) 3 (d) -2/45
c
Which is the seventh biggest value? (a) 0.3 (b) 5 (c) -1/7 (d) -200 (e) 1.07 (f) 14 (g) -0.4
d
Which is the third biggest value? (a) 61.9 (b) 61 (c) -11
c
Which is the sixth smallest value? (a) 0.3 (b) 1 (c) -0.028 (d) -3/8611 (e) -0.4 (f) -4
b
What is the second smallest value in 0.5, -4, 3233/3, 2/5, -18, 0.1?
-4
What is the third biggest value in -3, 1367, -91426?
-91426
What is the biggest value in -604.26, 1/2, 0, 0.2?
1/2
Which is the fourth smallest value? (a) 1.9 (b) 0.13 (c) -3254 (d) 4
d
What is the second biggest value in 2/137659, 5, -395/2?
2/137659
Which is the smallest value? (a) -0.1 (b) -4 (c) -503445
c
Which is the second biggest value? (a) 0.09 (b) -67.9 (c) 99.1 (d) -0.2
a
What is the fourth biggest value in -0.4, -30, 2, 4/2785, 50, 0, -3?
0
Which is the second smallest value? (a) 0.1 (b) 3/8 (c) 1475/158
b
What is the fifth biggest value in -3/10, 0.5, 8, -5, -6395?
-6395
What is the fifth smallest value in 2266, 0.189, -6, -0.4, -0.3?
2266
Which is the biggest value? (a) -205 (b) 4 (c) 2/11 (d) 1/5 (e) -0.2316
b
Which is the fifth biggest value? (a) 0.1 (b) 2.3 (c) 16 (d) -14 (e) -2 (f) -16 (g) -2/7
e
Which is the fifth biggest value? (a) -11 (b) 2 (c) 1/14 (d) -4 (e) -0.4 (f) 771 (g) -51
d
What is the third biggest value in 0.42, 355, -0.13, -12.7?
-0.13
Which is the second biggest value? (a) -2 (b) 5 (c) -4 (d) -3/5683 (e) -5
d
Which is the third smallest value? (a) -1/5 (b) -82/270503 (c) 0
c
What is the fifth biggest value in 6, -0.2, -1, -282, -21, -9?
-21
What is the third biggest value in -3, -1/11, -10.8, 0.01, -64, 0.5, -6?
-1/11
Which is the smallest value? (a) -1/57 (b) 0.2629 (c) -17.2
c
Which is the third biggest value? (a) -2.449 (b) 6/11 (c) 2536
a
Which is the second biggest value? (a) 4/7 (b) -486.29 (c) -0.3
c
What is the second biggest value in 11/26, 3749, 0, 0.2, 0.3?
11/26
Which is the fifth smallest value? (a) 0.5 (b) 173 (c) 0.3 (d) -453 (e) -1/5
b
Which is the second biggest value? (a) -34 (b) 11 (c) -2 (d) 0.04 (e) -1 (f) 0.01
d
Which is the third smallest value? (a) -0.18 (b) -494.7 (c) -4 (d) 11.7
a
What is the third biggest value in -2/15, -0.4, -1.422, -3.49, 5?
-0.4
Which is the biggest value? (a) -12/306907 (b) -2/5 (c) -0.3 (d) -2/9
a
What is the third smallest value in 0.3, 16070, -3/8, 0, 16/7, 2/9?
2/9
Which is the biggest value? (a) 3/7 (b) 4/7 (c) 972 (d) 22 (e) 112
c
What is the biggest value in 4.4, 21, 1, -2/669?
21
What is the second smallest value in 0.3, 10/140227, 16/13?
0.3
Which is the second smallest value? (a) 10 (b) -303.7 (c) -273
c
What is the third smallest value in -1038, 3, -2/67, -4/5, -2, 5?
-4/5
What is the fifth biggest value in 2, -2, -16.77, 1, -5, 0.06?
-5
What is the sixth smallest value in 1/13, 117, -4, -1, -1.12, 2, 0.5?
2
What is the third biggest value in -4, 3, -2/135, -1757?
-4
Which is the third smallest value? (a) 0 (b) 5 (c) -250/3 (d) 2/15 (e) -0.512
a
What is the fourth biggest value in -0.9, -0.09, -0.12, -0.5, 0.33, 2/37?
-0.12
What is the fourth biggest value in -49, -10, -0.5, -4, -1.7, -79?
-10
Which is the sixth smallest value? (a) 1/3 (b) 1 (c) -1/2 (d) -215/263 (e) -9 (f) -3
b
Whi | {
"pile_set_name": "DM Mathematics"
} |
0, 12, -1739?
2
What is the sixth biggest value in 0, 4, -2/13, -1, 1, 84?
-1
What is the second smallest value in -2, -2985, 30?
-2
What is the third biggest value in -2/7, 5, -10/9, -11, 1.3, 2/19?
2/19
What is the biggest value in 4, 5, -761?
5
What is the fifth smallest value in -43, 3/5, -0.3, -9, 0.02?
3/5
Which is the sixth biggest value? (a) -0.2 (b) 3/4 (c) -13 (d) -18 (e) 0.2 (f) 61.8
d
What is the third biggest value in -0.18358, -0.3, -1/2?
-1/2
Which is the second smallest value? (a) 4 (b) -14 (c) 12 (d) -2
d
Which is the biggest value? (a) 2152 (b) -130 (c) 0
a
What is the fourth smallest value in 5, -0.5, 2, 21, -5, 1/7?
2
Which is the biggest value? (a) -1/2 (b) -4/7 (c) 527.7 (d) 2 (e) -0.06
c
Which is the biggest value? (a) -2/57 (b) -4 (c) -15649
a
Which is the second biggest value? (a) 13/12 (b) -2692 (c) -4 (d) 0.1
d
Which is the third biggest value? (a) 5 (b) 620 (c) 22 (d) -1/5
a
What is the fourth biggest value in 2/3, 1, -0.4, 265, -4?
-0.4
What is the sixth biggest value in -96/319, 2/5, 5, 3/7, -3/2, 0.3?
-3/2
What is the smallest value in 3, -2/15, 1283, 5?
-2/15
What is the fourth smallest value in 0.001, -0.3, -5/3, 0.22?
0.22
Which is the smallest value? (a) 391 (b) 64 (c) -0.23
c
Which is the second biggest value? (a) 30 (b) -2 (c) 1/2 (d) 2/3 (e) 6
e
Which is the biggest value? (a) 4 (b) 3/119 (c) 15
c
What is the sixth biggest value in -0.2, -5, 0.3, 4, 10.1, -2/7?
-5
Which is the fifth smallest value? (a) 1 (b) 2/5 (c) 4 (d) 4/283 (e) 4/3 (f) -1/36
e
What is the second biggest value in -2, 0.3, 30, 4, 0.05?
4
What is the fourth biggest value in 109/5, -2, 0.15, -2/27?
-2
Which is the third biggest value? (a) -3 (b) 2/11 (c) -47334
c
Which is the fourth smallest value? (a) 18 (b) 0 (c) 3 (d) -2/3 (e) 1581
a
What is the fourth smallest value in 0.3, 0.4, -29, -126?
0.4
Which is the second smallest value? (a) -1/6 (b) -2/27 (c) 605
b
Which is the third biggest value? (a) 1/5444 (b) -0.5 (c) 24
b
What is the smallest value in -41, 0, 20, -3/4?
-41
What is the second smallest value in 165, -0.0683, 0.07?
0.07
Which is the fifth smallest value? (a) -5 (b) -12 (c) 1/661 (d) -2/19 (e) 3
e
What is the fourth biggest value in 3, 0.3, 11, -0.4283?
-0.4283
What is the third smallest value in 2/11, -5, 0.6, -0.3, -22?
-0.3
Which is the second biggest value? (a) 4 (b) -31 (c) -0.1 (d) -3
c
Which is the second biggest value? (a) 2 (b) 176 (c) 1/2 (d) 4 (e) -0.3
d
What is the smallest value in 2/11, 2, 3/2, -5, -4?
-5
Which is the fifth smallest value? (a) 4 (b) -2/3 (c) 35/26 (d) 0 (e) -3 (f) 4/3
c
What is the fourth smallest value in 0.5, -1/4, 27, 1?
27
Which is the third smallest value? (a) 3770 (b) -21 (c) 1/5 (d) 2/7
d
Which is the second biggest value? (a) -1948 (b) -154 (c) 1
b
Which is the biggest value? (a) 4 (b) 5 (c) -4/5 (d) -67107
b
Which is the second biggest value? (a) 11.3 (b) 4 (c) 0 (d) -3 (e) -2
b
Which is the biggest value? (a) -8 (b) -0.6 (c) -278
b
What is the second smallest value in -0.5, 30811, 3?
3
Which is the fourth smallest value? (a) -10/9 (b) 3 (c) 2 (d) -0.19 (e) -5
c
What is the smallest value in -1, -0.28, -21, -3?
-21
Which is the third biggest value? (a) -3 (b) -5559 (c) -2/11 (d) 1 (e) -47
a
What is the fourth biggest value in -31, -0.13, -7, -0.51?
-31
Which is the second smallest value? (a) 1/4 (b) -4 (c) -721
b
Which is the third biggest value? (a) -7/6 (b) -2 (c) -8444 (d) 5
b
Which is the second biggest value? (a) -6/11 (b) 14/25 (c) -3/16 (d) -0.5
c
Which is the second biggest value? (a) -1 (b) -3 (c) -30 (d) 0.5 (e) 0.16
e
Which is the fourth biggest value? (a) -1113 (b) 3/2 (c) -0.043 (d) -1 (e) 0.5
d
What is the third biggest value in 3, 1, -3155.1?
-3155.1
Which is the sixth smallest value? (a) -0.3 (b) -32 (c) -1 (d) -51 (e) 1/3 (f) 5
f
What is the biggest value in 5, -3/7, -464, -10?
5
What is the second biggest value in -1/20, -12, 0.1, -6?
-1/20
What is the fourth biggest value in 59.8, 1, -0.3, 0.4, 4/3, 10?
1
Which is the third biggest value? (a) -2.2 (b) 1 (c) -4/3 (d) -11 (e) 1/7 (f) 4
e
What is the second smallest value in 1, 96, 384, -1/4?
1
Which is the fourth smallest value? (a) -8 (b) -0.01 (c) 0 (d) 0.08 (e) 5
d
What is the fourth biggest value in -7, -2/9, 1/106, 2.61?
-7
Which is the fourth smallest value? (a) -0.1 (b) -4/3 (c) 250 (d) 0.4 (e) -1/48
d
What is the smallest value in -1172071, 5/3, -1?
-1172071
Which is the smallest value? (a) 3 (b) -3269 (c) -1 (d) -1.3
b
Which is the third biggest value? (a) -4/7 (b) 0 (c) -2 (d) 11367
a
Which is the smallest value? (a) 5 (b) -4.8 (c) -4 (d) 3
b
What is the biggest value in -3, -34, -873?
-3
Which is the smallest value? (a) 3 (b) 0.6 (c) -0.5 (d) -23 (e) 2/11 (f) 0.2
d
What is the second biggest value in 9, -13/5, 61?
9
Which is the third smallest value? (a) -3/1579 (b) 4 (c) 0.3
b
What is the third biggest value in 11, 5, 0, -0.8, 0.01, -1/4?
0.01
Which is the biggest value? (a) -0.1061 (b) -4 (c) -0.25
a
What is the second smallest value in 13/6, 10, -16/11?
13/6
What is the fifth smallest value in 3/10, 2, 24/5, 2/9, 4, -240?
4
What is the biggest value in -4, 25, -0.2223?
25
Which is the fifth biggest value? (a) -11 (b) 1/3 (c) 8 (d) 1/5 (e) -360
e
Which is the biggest value? (a) -2/17 (b) -32827 (c) -2/7
a
Which is the fourth biggest value? (a) -1.2 (b) -6 (c) 2 (d) -169
d
Which is the third biggest value? (a) 5 (b) -6/7 (c) -10 (d) 71 (e) -4
b
Which is the fifth smallest value? (a) 1 (b) 1/7 (c) -3272 (d) 1/4 (e) 4/5
a
Which is the fifth biggest value? (a) 4/27 (b) 0.2 (c) 2 (d) 0.06 (e) 5
d
What is the fourth smallest value in 3/7, -9, 2/7, -8, -0.8?
2/7
What is the smallest value in 1.9, -0.5, 2, -1.23?
-1.23
What is the second biggest value in 3/5, 7, -0.59, 0.4, 18?
7
Which is the biggest value? (a) 2 (b) -1.61 (c) -5/2 (d) 0.2
a
What is the second smallest value in 7, -10842, 3/4, -0.4?
-0.4
What is the third smallest value in 22/3, 1, -2, -1220, -1?
-1
What is the fourth biggest value in -2639, 3, -0.3, -41?
-2639
Which is the smallest value? (a) -1 (b) 2/5 (c) -32 (d) 0.085
c
Which is the biggest value? (a) -0.01143 (b) 1.8 (c) -0.13
b
Which is the third smallest value? (a) -0.18 (b) -21/10 (c) 0.3 (d) 2/9
d
What is the fourth smallest value in 0, 0.2, -2/9, 3/11, 118, -0.12?
0.2
What is the fifth biggest value in 2/13, -0.08, -3, 6/47, 2, 0.5?
-0.08
What is the smallest value in -82/39, -3/8, 0.2?
-82/39
Which is the smallest value? (a) 1546 (b) -1 (c) 1/2 (d) -2 (e) 2/15 (f) -9
f
Which is the fourth biggest value? (a) -1/4 (b) -4 (c) 0.4 (d) -1.9313 (e) -0.5
d
Which is the second biggest value? (a) -3 (b) 1/4 (c) 5 (d) 0 (e) -5 (f) 1212
c
Which is the second smallest value? (a) -2 (b) -0.4 (c) -3 (d) 26 (e) 1/20 (f) -2/13
a
What is the fourth biggest value in -5, -0.4, 0.3, 54.8?
-5
What is the second smallest value in -640, -59, -4?
-59
What is the second biggest value in -2, 0, 45.92?
0
What is the fourth biggest value in 0, 0.1, 0.4, -33772, 0.5, -2?
0
Which is the sixth biggest value? (a) 2/7 (b) -1 (c) 0 (d) 2/3 (e) 5/6 (f) -0.5
b
Which is the third biggest value? (a) -5 (b) 11 (c) -1/8 (d) 3 (e) -203 (f) -0.5
c
What is the fifth smallest value in -4, -9, 0.3, 0.2, 4/5, -481?
0.3
What is the third biggest value in 2, 3.79713, -1/7?
-1/7
Which is the second biggest value? (a) -5 (b) -0.1 (c) 35/13 (d) -1
b
What is the fourth smallest value in -55/6, -3/2, 4, -4?
4
Which is the third biggest value? (a) -3/16 (b) 0 (c) 4 (d) -8679
a
What is the fourth biggest value in -1/4, -3, -0.722, 0.1?
-3
What is the fifth biggest value in -2, -23, 27, -0.1, 4, -1/15?
-2
What is the second smallest value in 5, 1, -3, -1/8, -29.2?
-3
Which is the biggest value? (a) 13/4 (b) -2/3 (c) -1/6 (d) -5
a
Which is the second biggest value? (a) -2 (b) 22 (c) -2825
a
What is the fourth smallest value in 0.5, 5, 2/5, 3/4, -1/10, 5766.8?
3/4
What is the fourth biggest value in 0.3, -5, 0.8, 0.96?
-5
Which is the second biggest value? (a) -5 (b) 40/3 | {
"pile_set_name": "DM Mathematics"
} |
ces?
12.31
Round 185467.6 to the nearest one thousand.
185000
Round 150.80604 to 0 decimal places.
151
What is 0.2612697 rounded to 2 decimal places?
0.26
What is -131377 rounded to the nearest 1000?
-131000
What is -0.0076004254 rounded to 4 decimal places?
-0.0076
What is -11.611 rounded to 1 dp?
-11.6
Round -115.4922 to the nearest ten.
-120
What is -4.53715 rounded to 1 dp?
-4.5
What is -0.0000012087 rounded to 6 decimal places?
-0.000001
Round 44046.187 to the nearest one hundred.
44000
Round -2.139364 to one decimal place.
-2.1
What is 0.1822485 rounded to 2 decimal places?
0.18
What is -214.1426 rounded to 1 decimal place?
-214.1
Round 99899.7 to the nearest 10000.
100000
What is -611.866 rounded to the nearest 100?
-600
Round 75235.798 to the nearest 1000.
75000
Round -0.00032554371 to five decimal places.
-0.00033
What is -220.3348 rounded to the nearest integer?
-220
What is -0.00335564 rounded to 4 dps?
-0.0034
Round -1474474 to the nearest 1000.
-1474000
Round -1.388034 to three decimal places.
-1.388
What is 0.000651463 rounded to five dps?
0.00065
Round 40.94591 to the nearest ten.
40
Round -17.831945 to the nearest integer.
-18
What is 12.13057 rounded to 1 dp?
12.1
Round -1869.233 to the nearest 1000.
-2000
What is 3888.754 rounded to the nearest one hundred?
3900
Round -289942000 to the nearest one hundred thousand.
-289900000
Round 0.10249451 to three decimal places.
0.102
Round -69514.6 to the nearest one thousand.
-70000
What is -3027980 rounded to the nearest 1000000?
-3000000
Round 52.3118 to one decimal place.
52.3
Round 2746170 to the nearest one million.
3000000
Round 2201.517 to the nearest ten.
2200
What is -269598900 rounded to the nearest one hundred thousand?
-269600000
What is -3117655000 rounded to the nearest 1000000?
-3118000000
Round -2353705 to the nearest 100000.
-2400000
Round 0.04778739 to 2 decimal places.
0.05
What is 588810 rounded to the nearest 100000?
600000
What is 0.0012257865 rounded to 4 dps?
0.0012
What is -2726.434 rounded to the nearest integer?
-2726
Round -245.86812 to one decimal place.
-245.9
Round 0.0092048 to 3 decimal places.
0.009
Round 6.28845 to two decimal places.
6.29
Round 78.1452 to one dp.
78.1
Round 29518100 to the nearest one million.
30000000
What is 0.0684214 rounded to 4 decimal places?
0.0684
What is -0.0000108086 rounded to 7 decimal places?
-0.0000108
What is 8898.77 rounded to the nearest one thousand?
9000
What is 51832360 rounded to the nearest 1000000?
52000000
What is 0.0000080836 rounded to five dps?
0.00001
Round -2.302238 to 1 dp.
-2.3
Round 0.0045081 to four decimal places.
0.0045
What is -2.338998 rounded to 2 decimal places?
-2.34
What is 23778.08 rounded to the nearest one thousand?
24000
What is 0.0000002720009 rounded to 7 decimal places?
0.0000003
What is -0.00000571441 rounded to seven dps?
-0.0000057
What is -106643 rounded to the nearest 10000?
-110000
Round 0.23897 to three decimal places.
0.239
Round -0.17137569 to 4 decimal places.
-0.1714
What is 708.565 rounded to 0 dps?
709
Round -8534730 to the nearest 100000.
-8500000
What is -1.00342 rounded to 1 decimal place?
-1
What is -0.0000579515 rounded to seven dps?
-0.000058
What is -67132000 rounded to the nearest 1000000?
-67000000
What is -9.416229 rounded to 1 decimal place?
-9.4
What is -0.00026873875 rounded to 6 dps?
-0.000269
Round -1.146364 to 1 dp.
-1.1
What is -182.053 rounded to the nearest integer?
-182
What is -5700917.5 rounded to the nearest one million?
-6000000
Round -0.0001149442 to 7 decimal places.
-0.0001149
Round -19.06227 to 0 decimal places.
-19
Round -270899100 to the nearest one hundred thousand.
-270900000
What is 0.0015251 rounded to three decimal places?
0.002
What is 5148654 rounded to the nearest one hundred thousand?
5100000
What is 23.634946 rounded to the nearest 10?
20
What is 0.03977002 rounded to three decimal places?
0.04
What is 0.0562 rounded to one dp?
0.1
Round -45.569 to zero dps.
-46
What is 0.4719277 rounded to two dps?
0.47
Round -1506844.3 to the nearest 100000.
-1500000
Round 515115 to the nearest one thousand.
515000
What is -0.2460531 rounded to 4 decimal places?
-0.2461
What is -9374800 rounded to the nearest one hundred thousand?
-9400000
What is 402.3 rounded to the nearest ten?
400
What is -0.000006282697 rounded to seven dps?
-0.0000063
Round 26.56463 to 1 decimal place.
26.6
Round 4041259600 to the nearest one million.
4041000000
What is 6999.659 rounded to the nearest 100?
7000
Round -1.42683 to 3 dps.
-1.427
Round -0.000186487 to 5 decimal places.
-0.00019
What is -24.633209 rounded to zero decimal places?
-25
Round 0.0028094682 to 4 dps.
0.0028
Round 299.64 to the nearest 10.
300
What is -222957.5 rounded to the nearest ten thousand?
-220000
What is -175640 rounded to the nearest one hundred thousand?
-200000
What is -25572940 rounded to the nearest 10000?
-25570000
What is -401.668 rounded to the nearest integer?
-402
What is -0.002879429 rounded to 4 dps?
-0.0029
Round 0.0000184029 to 7 dps.
0.0000184
Round -0.382485 to 1 decimal place.
-0.4
What is -0.22628186 rounded to three decimal places?
-0.226
Round -9647727 to the nearest 1000.
-9648000
Round 857041140 to the nearest one million.
857000000
What is -8.9599 rounded to 0 decimal places?
-9
What is 15.129628 rounded to 1 dp?
15.1
Round 11.1464 to 1 decimal place.
11.1
Round -0.000218153 to 5 dps.
-0.00022
What is 150.624 rounded to the nearest 10?
150
Round 0.03966934 to 2 decimal places.
0.04
Round 2359273000 to the nearest 1000000.
2359000000
What is 60.5835 rounded to 1 decimal place?
60.6
Round -0.031913047 to 5 decimal places.
-0.03191
What is 8.93936 rounded to 1 decimal place?
8.9
What is -0.000545567 rounded to four dps?
-0.0005
What is -92.91419 rounded to 1 dp?
-92.9
What is 0.000000516176 rounded to 7 decimal places?
0.0000005
What is -26487500 rounded to the nearest one hundred thousand?
-26500000
What is -0.000004892856 rounded to six dps?
-0.000005
Round -0.0000165008 to 5 dps.
-0.00002
What is -16279110 rounded to the nearest 10000?
-16280000
What is 0.000300626 rounded to four dps?
0.0003
Round 0.0443963 to two decimal places.
0.04
What is 0.000000542457 rounded to 7 decimal places?
0.0000005
Round -2229684 to the nearest 1000000.
-2000000
Round 0.0027600782 to 4 dps.
0.0028
Round -0.55874 to 3 dps.
-0.559
What is 0.0200309 rounded to four decimal places?
0.02
Round -0.008407847 to 6 decimal places.
-0.008408
Round 0.0000051153 to 6 dps.
0.000005
Round 2024791.7 to the nearest 10000.
2020000
What is 0.0304379 rounded to 4 dps?
0.0304
What is -0.000010980807 rounded to six decimal places?
-0.000011
What is 964070 rounded to the nearest one hundred thousand?
1000000
Round -216160000 to the nearest one million.
-216000000
What is -2146.1839 rounded to the nearest 100?
-2100
What is -0.00000104798 rounded to seven dps?
-0.000001
Round -0.0000036896 to six decimal places.
-0.000004
What is 7084.1635 rounded to the nearest 100?
7100
What is -77.54911 rounded to the nearest 10?
-80
Round 5527.78 to the nearest 1000.
6000
Round 0.00000366398 to seven dps.
0.0000037
What is 129.838 rounded to the nearest 10?
130
Round 0.016772516 to five dps.
0.01677
What is 1461506 rounded to the nearest 1000?
1462000
What is -497.304 rounded to the nearest 100?
-500
What is -38661800 rounded to the nearest one million?
-39000000
Round -21.7448 to the nearest integer.
-22
Round 5.0497812 to the nearest integer.
5
What is -3057304 rounded to the nearest 10000?
-3060000
What is -3004547 rounded to the nearest 1000000?
-3000000
Round 0.0007475958 to six decimal places.
0.000748
What is 1007768 rounded to the nearest 10000?
1010000
Round 0.00021599217 to 5 decimal places.
0.00022
What is -864000 rounded to the nearest 10000?
-860000
What is -0.0000517559 rounded to seven dps?
-0.0000518
Round 11345.24 to the nearest 1000.
11000
What is -308282 rounded to the nearest one hundred?
-308300
Round 3.228887 to three dps.
3.229
Round 38586840 to the nearest ten thousand.
38590000
What is -0.000536591 rounded to 4 dps?
-0.0005
What is 0.434898 rounded to three decimal places?
0.435
Round 101.7247 to the nearest ten.
100
Round -8.451139 to 0 decimal places.
-8
What is 0.00003812633 rounded to 7 decimal | {
"pile_set_name": "DM Mathematics"
} |
be (0 - 1/s)*1. Let c(x) = 3447*x**2 - 894 - 3451*x**2 - x + 899 - x**3. Let m(q) = -q**2 + 1. Determine b*c(r) - 5*m(r).
-r**3 + r**2 - r
Let y(a) = -11*a**2 + 6*a + 17. Suppose 16 = -13*f + 9*f. Let i be (9*6)/(-1) + f. Let k = 41 + i. Let n(z) = 4*z**2 - 2*z - 6. What is k*n(x) - 6*y(x)?
-2*x**2 - 2*x
Let s(d) be the second derivative of -2*d**4/3 - 5*d**3/6 + 5*d**2/2 - 2*d + 143. Let b(j) = -j**2 + j - 1. Determine -5*b(t) - s(t).
13*t**2
Suppose -13*q = 82*q - 285. Let k(n) = -n - 2. Let i(p) = -p - 2. What is q*i(m) - 4*k(m)?
m + 2
Let g(l) be the first derivative of l**2/2 - 3*l + 6. Let x = 45 + -22. Suppose -9 = 4*v + x. Let n(d) = -3*d + 8. What is v*g(z) - 3*n(z)?
z
Let f(m) = 8*m**3 - 2*m + 15. Let w(s) = -s**3 + s - 1. Let i(z) = f(z) + 2*w(z). Let c = -220841 - -220836. Let d(h) = -3*h**3 - 6. Calculate c*d(x) - 2*i(x).
3*x**3 + 4
Let o(r) = 4*r. Let c(h) = h**2 - h. Let w be -15*(3 + 232/20*-3). Let x = w + -478. Calculate x*o(k) - 5*c(k).
-5*k**2 + k
Let u(o) be the first derivative of -1/2*o**2 + 0*o - 2. Let v(s) = -5*s - 1. Let t(i) = 1. Let b(w) = -3*t(w) - v(w). Calculate -b(x) - 3*u(x).
-2*x + 2
Let l(z) = 35*z - 845. Let a be l(24). Let d(g) = 17*g + 2. Let w(n) = n. What is a*w(y) + d(y)?
12*y + 2
Let q(w) = w**2 + 1. Let y(n) = -7*n**2 - n + 24. Give -3*q(z) - y(z).
4*z**2 + z - 27
Let b(g) = -14*g**3 - 10*g**2 - 11*g + 15. Let a(y) = 20*y**3 + 14*y**2 + 16*y - 21. Let w(u) = -5*a(u) - 7*b(u). Let p(t) = t**3 + t. Determine 3*p(c) + w(c).
c**3
Let t(p) = 4*p**2 - 3*p. Suppose 3*g = -y - 12, -3*g - 6 - 12 = -y. Let j = -141 - -163. Let v = j + -38. Let d(a) = 20*a**2 - 16*a. What is v*t(s) + y*d(s)?
-4*s**2
Let i(k) = -56*k - 209. Let q(b) = 65*b + 209. Determine -7*i(d) - 6*q(d).
2*d + 209
Let b(j) = -2*j**3 - 7*j**2 - 3. Let m = 9360 + -9358. Let n(p) = -2*p**3 - 6*p**2 - 2. What is m*b(l) - 3*n(l)?
2*l**3 + 4*l**2
Let c(i) be the second derivative of 2*i**3/3 + 7*i**2/2 + 32*i. Suppose 102*u = 1092 + 336. Let x(j) = 1. Determine u*x(l) - 2*c(l).
-8*l
Let f(p) = 926*p**2 - 176*p + 34. Let q(k) = 309*k**2 - 62*k + 12. What is 6*f(m) - 17*q(m)?
303*m**2 - 2*m
Let b(x) = -3*x - 266. Let h(y) = 4*y + 271. Calculate -7*b(n) - 6*h(n).
-3*n + 236
Suppose 1417 = 283*w - 1036 + 755. Let y(c) = -2*c**2 + 7*c - 4. Let v(f) = -2*f**2 + 8*f - 5. Determine w*y(a) - 5*v(a).
-2*a**2 + 2*a + 1
Let c = 314 - 293. Let v be (3 + 84/(-8))*(-14)/c. Let f(r) = -5*r**3 - 8*r**2 - 6*r. Let w(h) = 3*h**3 + 5*h**2 + 4*h. Determine v*f(o) + 8*w(o).
-o**3 + 2*o
Let i(c) = -2*c**2 - 2*c - 1. Let y(z) = 8*z**2 + 8*z + 14. Let d(l) = -3*i(l) - y(l). Let g(x) = x**3 - 5*x**2 - 4*x - 23. What is 5*d(k) - 2*g(k)?
-2*k**3 - 2*k - 9
Let z(n) = 29*n**3 + 3*n**2 + 1183*n + 1. Let b(m) = 17*m**3 + 2*m**2 + 591*m + 1. What is -5*b(o) + 3*z(o)?
2*o**3 - o**2 + 594*o - 2
Let j(i) = -54*i**2 - 2*i + 112. Let r(u) = -3132*u**2 - 117*u + 6552. Let q(h) = 117*j(h) - 2*r(h). Let y(f) = -107*f**2. Give 5*q(k) - 3*y(k).
51*k**2
Let t(v) = 29*v + 131. Let w be t(3). Let i = -208 + w. Let g(s) = 11*s - 7. Let p(l) = 5*l - 3. Determine i*p(y) - 4*g(y).
6*y - 2
Let t = -932 - -928. Let c = 45 + -54. Let q(m) = -15*m + 13. Let x(u) = 7*u - 6. What is c*x(l) + t*q(l)?
-3*l + 2
Let i(s) = -3*s. Let d(l) = -1851*l + 921*l + 926*l. Let v(x) = x. Let m be v(-5). What is m*i(g) + 4*d(g)?
-g
Suppose -46*w - 21 = -50*w - b, -5*w + 5*b = 5. Let g(s) = 9*s**2 + 6*s. Let c(r) = -r**2 - r. Calculate w*c(l) + g(l).
5*l**2 + 2*l
Let c(k) = -38*k + 5. Let i(v) = 20*v - 3. What is -3*c(z) - 7*i(z)?
-26*z + 6
Let m(c) = 5*c**3 + 1016*c**2 - 9*c - 4. Let o(q) = 4*q**3 + 1016*q**2 - 6*q - 3. Calculate 3*m(y) - 4*o(y).
-y**3 - 1016*y**2 - 3*y
Let i(h) = -247*h - 15. Let q(j) = -246*j - 13. Give -6*i(z) + 7*q(z).
-240*z - 1
Let v = 4 + -6. Let z(b) = -28*b**2 - 22. Let s(g) = -265*g**2 - 42*g + 92. Let y(w) = 101*w**2 + 16*w - 35. Let m(d) = 8*s(d) + 21*y(d). Give v*z(x) - 44*m(x).
12*x**2
Let a(y) = 3*y + 1. Let k(m) = -18*m + 2 + 89*m - 48*m - 13*m. Give -16*a(b) + 5*k(b).
2*b - 6
Suppose -6*z - 16*z = z + 5*z. Let r(q) be the second derivative of z + 1/6*q**3 - 12*q + 1/2*q**2. Let t(h) = -h**2 - 3*h - 2. Give -4*r(j) - 2*t(j).
2*j**2 + 2*j
Let n(a) = -4*a + 5. Suppose -50 = -5*b + 5*w, -3*b - w + 30 = -0*w. Let u = -14 + b. Let f(l) = -3*l + 4. Let k = -88 - -93. Calculate k*f(r) + u*n(r).
r
Let y(v) = 2*v**2 + 2*v. Let t(x) = 3*x**3 + 732*x**2 - 5*x. Give t(p) + 2*y(p).
3*p**3 + 736*p**2 - p
Let s(r) = -3*r + 2. Let j(v) = -31*v - 27. Give j(g) + 6*s(g).
-49*g - 15
Let f(d) = 3*d**2 - 4*d + 1. Let n(c) = -59*c**2 + 17*c + 14. Let o(m) = -64*m**2 + 19*m + 15. Let y(p) = -14*n(p) + 13*o(p). Give 5*f(q) + 2*y(q).
3*q**2 - 2*q + 3
Let a(k) = -1952*k - 109. Let i(u) = 975*u + 44. Determine -2*a(c) - 5*i(c).
-971*c - 2
Let f(k) = 5185*k**3 + 3*k**2 - 6*k + 6. Let y(o) = 8980416*o**3 + 5197*o**2 - 10394*o + 10394. What is 10394*f(t) - 6*y(t)?
10394*t**3
Let j(l) = 18. Let b(a) = 73. Let s(m) = -b(m) + 4*j(m). Let t(v) be the first derivative of -v**3/3 - 3*v**2 - 4*v - 1. What is 4*s(k) - t(k)?
k**2 + 6*k
Let j be (-7)/63*-27 + (-9 - (1 - 2)). Let v(d) = -9*d - 2. Let a(c) = 18*c + 5. Give j*v(t) - 2*a(t).
9*t
Let k(z) = -9*z**3 - 2*z**2 + 2*z - 2. Let x(p) = -10*p**2 + p**2 - 10408*p**3 - 9 + 9*p + 10371*p**3. What is 18*k(f) - 4*x(f)?
-14*f**3
Suppose a + 2 = 1. Let s(u) = -11*u. Let i(w) be the third derivative of -w**4/24 - 59922*w**2. What is a*s(p) + 22*i(p)?
-11*p
Let p(n) = 4568*n. Let j(z) = 2037306*z. What is -5*j(m) + 2229*p(m)?
-4458*m
Let p(r) = -61*r + 1. Let a(j) = -510*j + 3. What is -a(z) + 2*p(z)?
388*z - 1
Let f(n) = n**3 - 18*n**2 - n. Let s(a) = -21*a**3 - 48*a**2 + 2*a - 1. Determine -2*f(b) - s(b).
19*b**3 + 84*b**2 + 1
Let x(h) = 64*h**3 + 28*h**2 + 10*h + 4. Let b(s) = 3*s**2 + s. Give 9*b(y) - x(y).
-64*y**3 - y**2 - y - 4
Let q(j) = 2*j**2 - 3*j + 145. Let w(p) = -4*p**2 + 8*p - 288. Give -5*q(i) - 2*w(i).
-2*i**2 - i - 149
Let v(z) = -z**3 - z**2 + 21*z - 3. Let r be v(4). Let k(q) = -3*q**2 - 2*q - 1. Let i(w) = -w**2 + w. Determine r*k(p) - 5*i(p).
2*p**2 - 7*p - 1
Let s(d) = -d**3 + d + 1. Let y(q) = q + 8. Let m(f) = -5*f**2 + 2*f. Let z be m(-1). Let g be y(z). Let x(n) = -2*n**3 - n**2 - n + 1. Calculate g*s(c) - x(c).
c**3 + c**2 + 2*c
Let k(a) = 6*a - 2296. Let d(g) = -2*g + 1149. What is -5*d(b) - 2*k(b)?
-2*b - 1153
Let i(b) = 285 - 4*b**2 + 2*b - 1409*b**3 + 1423*b**3 - 283. Let s(g) = 41*g**3 - 11*g**2 + 6*g + 6. What is -11*i(z) + 4*s(z)?
10*z**3 + 2*z + 2
Let y(u) = u**3 - u**2 - u - 1. Let h be 4/10*70/((-280)/(-20)). Let b(d) = -3*d**2 - 2*d + 2. Give h*y(x) - b(x).
2*x**3 + x**2 - 4
Let y(s) = 10*s**2 + 24*s - 10. Suppose -3*u - 5 = 2*c, -18*u - 2*c = -17*u - 1. Let w(a) = -2*a**2 - 5*a + 2. Give u*y(b) - 14*w(b).
-2*b**2 - 2*b + 2
Let j(s) be the second derivative of -11*s**3/6 - 7*s**2 - 19*s + 23. Let q(t) = 6*t + 7. Calculate -3*j(w) - 5*q(w).
3*w + 7
Let c(z) = -10*z**3 - 6*z**2 + z. Let x(i) = -19*i**3 - 11*i**2 + 2*i. Suppose 16*b + 18 + 41 = -37. Give b*x(r) + 11*c(r).
4*r**3 - r
Let g(n) = n**3 - n**2 - 1. Let p(l) = -13*l**2 + 92*l - 5. Let i be p(7). Let a(b) = -11*b**3 + 2*b**2 + 2. Determine i*g(k) + a(k).
-9*k**3
Let z(j) = -7 - 6*j + 42*j + 4 - 20*j - 15*j. Suppose h = 3*h + 6. Let p be ((-8)/(-6))/((-1)/(-6)). Let m(w) = 2*w - 8. What is h*m(l) + p*z(l)?
2*l
Let y(f) = -6*f**2 + f + 1. Let j(g) = 681*g**2 - 5*g - 3. Give -j(n) - 5*y(n).
-651*n**2 - 2
Let b(w) = -101*w + 10. Let u(q) = 70*q - 9. Let c(j) = -2*b(j) - 3*u(j). Let l(o) = o. Suppose 8*r - 24 = 4*r. Determine r*l(f) + c(f).
-2*f + 7
Let v(u) = -6735*u**3 - 6*u. Let s(h) = -204057031*h**3 - 181791*h. Determine -4*s(k) + 121194*v(k).
-13466*k**3
Let t(m) = 6*m**2 - 3. Let q(l) = -180*l**2 + 12. What is q(f) + 5*t(f)?
-150*f**2 - 3
Let l be 2/3*(-25 + -2). Let g(c) = -4*c - 5338 - 2*c + 2661 + 2659. Let z(q) = -1. Give l*z(j) + g(j).
-6*j
Let x(r) = -7930*r**3 + 11*r**2 + 22*r - 22. Let h(a) = -2642*a**3 + 4*a**2 + 8*a - 8. Determine 11*h(s) - 4*x(s).
2658*s**3
Let a(n) = -3612. Let k(t) = -221. Let r(y) = 3*a(y) - 49*k(y). Let g(o) = o - 1. Determine g(c) - r(c).
c + 6
Let r(q) = 1126*q - 8. Let j(g) = 563*g - 3. Determine 5*j(v) - 2*r(v).
563*v + 1
Let l(r) = -39*r**3 | {
"pile_set_name": "DM Mathematics"
} |
) = -d - 1. Let p(f) = -42*j(f) + 2*r(f). Give o(p(n)).
-12*n
Let x(m) = -m**2 + 7. Let y(l) = 2 + 1 + 0. Let z(k) = 3*x(k) - 7*y(k). Let a(v) = -v**2 + 0*v**2 + 3*v**2. What is a(z(j))?
18*j**4
Let x(g) = g - 5. Let c(f) = 4 - 2*f + f + 2*f - 11. Let l(i) = 5*c(i) - 7*x(i). Let w(q) = 2*q**2. Determine l(w(z)).
-4*z**2
Suppose c = -4, -3*c + 12 = 3*g - 0*g. Let t(j) = 3*j - g*j + j. Let m(w) = -w + 2. Let o(f) = f - 1. Let r(s) = -m(s) - 2*o(s). Calculate r(t(x)).
4*x
Let v(f) = 15*f**2. Let b(g) = 3*g. Calculate v(b(n)).
135*n**2
Suppose -c + 0*c = -1. Let f(p) = 1 - c + 0*p - p. Let t(a) = -4*a**2 - 9*a - 9. Let y(h) = h**2 + 2*h + 2. Let d(u) = 2*t(u) + 9*y(u). Calculate f(d(b)).
-b**2
Let r(c) = 8*c**3 + 11*c - 15. Let n(k) = -3*k**3 - 4*k + 5. Let a(v) = 11*n(v) + 4*r(v). Let q(l) be the first derivative of a(l). Let w(f) = f. Give w(q(g)).
-3*g**2
Let u(x) = -x + 1. Let s(r) = -4*r + 5. Let g(c) = -4*s(c) + 20*u(c). Let n(o) = o**2. Calculate n(g(v)).
16*v**2
Let h(w) = -w**2. Let i(m) = -10*m. Determine i(h(p)).
10*p**2
Let x(j) = 49*j - 50*j - 4 + 4. Let q(k) = 9*k**2. Calculate q(x(m)).
9*m**2
Let c(w) = -4*w**2. Let a(z) = -4*z**2 - 3*z + 3. Suppose -6 = 7*u - 8*u. Let s(f) = 3*f**2 + 2*f - 2. Let n(r) = u*s(r) + 4*a(r). Give n(c(d)).
32*d**4
Let a(j) = 14 + j**2 - 14. Let l(n) = -60*n**2. Determine l(a(q)).
-60*q**4
Let o(x) = 4*x**2 + 7680*x - 7680*x + 0*x**2. Let a(q) be the first derivative of -q**2 - 2. Determine a(o(y)).
-8*y**2
Let q(u) = 4*u. Let k(a) = -2*a**2 + 5*a**2 + 2*a**2 + a**2. Give q(k(i)).
24*i**2
Let g(k) = -3*k**2. Let z(r) = 2*r + 2*r - 7*r. Determine z(g(p)).
9*p**2
Let o(d) be the third derivative of d**5/40 - d**3/3 - d**2. Let r(b) be the first derivative of o(b). Let m(p) = 2*p. Calculate m(r(l)).
6*l
Let t(l) = 4*l. Let b(i) = -9*i**2. Give b(t(j)).
-144*j**2
Let z(v) be the third derivative of v**5/30 + v**2. Let k = 8 + -5. Let g(r) = k*r**2 + r**2 - 6*r**2. What is g(z(w))?
-8*w**4
Let b(z) = -4*z**2. Let a(v) = 3*v. Let s(n) = -8*n. Let c(t) = 17*a(t) + 6*s(t). Calculate b(c(o)).
-36*o**2
Let z(f) = -f**3 + 1. Let o(y) = -6*y**3 + 10. Let r(i) = 2*o(i) - 10*z(i). Let s(u) be the first derivative of r(u). Let w(g) = 3*g. Determine s(w(q)).
-54*q**2
Let q(z) = -z**2 + 2*z + 2. Let w(b) = -3*b - 3. Let g(v) = 3*q(v) + 2*w(v). Let n(j) be the first derivative of -j**2 - 2. Give n(g(i)).
6*i**2
Let p(d) = -12*d**2. Let x(m) = 3*m. Calculate p(x(i)).
-108*i**2
Let i(a) = 2*a**2 - 8*a. Let z(n) = n**2. Determine z(i(r)).
4*r**4 - 32*r**3 + 64*r**2
Let k(j) = 13*j + 12*j - 28*j. Let z(x) = -x - 1 + 2 + 0*x. Let o(h) = 3*h - 4. Let w(g) = o(g) + 4*z(g). Calculate w(k(n)).
3*n
Let r(m) = -8*m + 18. Let c(w) = -w + 3. Let j(d) = 30*c(d) - 5*r(d). Let b(h) = 2*h - h + 0*h. What is b(j(l))?
10*l
Let d(g) = -5*g + 8. Let h(n) = 3*n - 5. Suppose 4*u - 2*o = -20, 4*u - u - 3*o + 15 = 0. Let v(c) = u*d(c) - 8*h(c). Let m(r) = r**2. Determine v(m(z)).
z**2
Let n(c) = -3*c. Let u be 0/(-1)*(-2)/(-6). Suppose 0 = -u*y + 4*y - 20. Let w(k) = -5*k + k**2 + y*k. Determine n(w(x)).
-3*x**2
Let r(i) = 15*i**2. Let b(t) be the first derivative of -t**2/2 + 12. Give r(b(g)).
15*g**2
Let i(l) be the first derivative of l**2/2 + 4. Let y(g) = 5*g**2. Calculate y(i(c)).
5*c**2
Let l(i) = 34*i. Let v(z) = -z**2 + 1. Let o(t) = -3. Let s(u) = o(u) + 3*v(u). Determine l(s(y)).
-102*y**2
Let w(f) = 2*f. Let k(t) = 2*t**2 + 132. Give k(w(o)).
8*o**2 + 132
Let b(z) = -9*z - 28. Let r(u) = -9*u. Calculate r(b(j)).
81*j + 252
Let b(q) = 3 - 2 - 1 - 2*q. Let f(p) = -8*p**2 - 9*p + 9. Let v(y) = -y**2 + 2 - 3*y - y**2 + y. Let c(x) = 4*f(x) - 18*v(x). Determine b(c(g)).
-8*g**2
Let j be (0 + 1)*(116 + -13). Let m(x) = 103*x - j*x - 3*x**2. Let r(u) = -3*u**2. Give r(m(w)).
-27*w**4
Let x(d) = -d + 1. Let z(k) = 3*k - 2. Let h(m) = 2*x(m) + z(m). Let p(t) = -1 + 1 + 4*t. Calculate p(h(l)).
4*l
Let d(a) = 3*a - 5*a + a. Let l(b) = -b. Let g(s) = 3*d(s) + 3*l(s). Let v(r) = 2*r**2. What is g(v(y))?
-12*y**2
Let k(q) = 10*q - 10*q - 5*q**2 + 2*q**2. Let l(c) be the second derivative of 7*c**3/6 - 7*c. Determine l(k(g)).
-21*g**2
Let a(h) = -2*h. Let b(t) = -39*t. What is a(b(s))?
78*s
Let g(o) = 52 - 52 + o. Let c(w) = 7*w**2. Give c(g(q)).
7*q**2
Let y(u) = -6*u**2 + 5*u**2 + 2*u**2. Let k(l) = -l**2. What is y(k(m))?
m**4
Let q(i) = i. Let g(c) = 4802*c. Give q(g(r)).
4802*r
Let d(x) = -2*x**2 - 18*x + 18*x + 0*x**2. Let y(v) = v**2 + 3*v - 3. Let s(g) = -2*g**2 - 5*g + 5. Let f(z) = -6*s(z) - 10*y(z). Determine f(d(l)).
8*l**4
Let m(h) = -h - h + 0*h. Let n(s) = -15*s. Calculate m(n(l)).
30*l
Let s(i) = -4*i**2. Let r(m) be the third derivative of -m**5/3 - 40*m**2. Give r(s(d)).
-320*d**4
Let y(q) = 14*q - 12. Let g(o) = -2 + 3*o + 1 - 2*o. Let w(i) = -12*g(i) + y(i). Let c(d) = -d. Calculate w(c(h)).
-2*h
Let n(w) = 2*w - 66. Let s(a) = -2*a. Calculate s(n(u)).
-4*u + 132
Let k(d) = 4*d + 3. Let n(i) = -5*i + 8*i + 4*i + 5. Let z(w) = -5*k(w) + 3*n(w). Let g(r) be the third derivative of r**5/60 + 2*r**2. Give z(g(o)).
o**2
Let k(u) = -u. Let j(a) = a**2 + 10*a + 11. Let h be j(-9). Let z(x) = -3*x**2 + 13*x**2 - 5*x**h. What is z(k(c))?
5*c**2
Let c(p) = 5*p. Let h be c(1). Suppose 3*b = -2*a + 14, -2*a - h*b = -b - 16. Let m(t) = a*t - 2*t - 3*t. Let w(s) = s. Determine w(m(d)).
-d
Let h be 9 + 2 + -2 + 0. Let y(p) = 4*p**2 - 9*p. Let c(a) = -a**2 + 2*a. Let w(u) = h*c(u) + 2*y(u). Let r(f) = -f - 4*f + 4*f. Give r(w(t)).
t**2
Suppose 4*b + 4 = 0, 4*a + 2*b = 3*a + 1. Let j(h) = -2*h**2 + 3*h + 3. Let u(l) = 5*l**2 - 8*l - 8. Let q(n) = a*u(n) + 8*j(n). Let i(c) = 3*c. Give q(i(f)).
-9*f**2
Let f(u) = 11*u**2. Let s(l) = -2*l**2 + 5. Let z(i) = -i**2 + 2. Let n(v) = -2*s(v) + 5*z(v). Give n(f(r)).
-121*r**4
Let y(m) = m. Let k(v) = -235*v**2 + 2*v. Give k(y(s)).
-235*s**2 + 2*s
Let x(n) = -35*n**2 + 5. Let a(p) = 34*p**2 - 4. Let i(o) = -5*a(o) - 4*x(o). Let d(h) = h**2. Determine i(d(q)).
-30*q**4
Let t(d) = -d. Let f(v) = 16*v. Let w(x) = -f(x) - 12*t(x). Let g(k) = -6*k. Calculate g(w(b)).
24*b
Let f(a) be the third derivative of -2*a**2 + 0*a**3 + 0 + 0*a + 1/12*a**4. Let t(o) = 3*o. What is f(t(s))?
6*s
Let r be ((-4)/(-5))/((-14)/(-35)). Let h(u) = -r + 0*u + 2*u + 2. Let z(a) = -2*a. Determine h(z(q)).
-4*q
Suppose 4*m - 20 - 7 = -3*t, 0 = 3*t + 5*m - 30. Let v(q) = 0*q - t*q - 2*q. Let j(z) = 2*z**2. Give v(j(s)).
-14*s**2
Let l(h) = -33 + 33 + 9*h**2. Let j(b) = -b**2. Give l(j(x)).
9*x**4
Let s(f) = 15*f**2 - 11. Let g(w) = 4*w**2 - 3. Let v(y) = -22*g(y) + 6*s(y). Let k(i) = 5*i - 3. Calculate v(k(x)).
50*x**2 - 60*x + 18
Let x = -2 - -4. Let h(g) = 3*g**x - 2*g**2 - 3*g**2 + g**2. Let w(n) = 2*n. Calculate h(w(m)).
-4*m**2
Let u(m) = m**2. Let w(d) = -2*d**2. Let z(o) = -o**2. Let p(l) = -2*w(l) + 3*z(l). Give p(u(t)).
t**4
Let y(t) = 3*t. Let g(l) = 1144*l**2. What is g(y(h))?
10296*h**2
Let u(c) be the third derivative of -c**5/60 + 8*c**2. Let a(o) = 3*o**2. What is u(a(x))?
-9*x**4
Let m(h) = -h**2. Suppose -15 = 2*x + 3*x. Let n(s) = -3. Let q(w) = w**2 + 8. Let y(b) = x*q(b) - 8*n(b). Calculate m(y(z)).
-9*z**4
Let z(q) = -q**3 - 8*q**2 - 7*q + 2. Let a be z(-7). Let y(p) = -p + a*p + 0*p - 3*p. Let i(w) = -3*w**2. Calculate i(y(h)).
-12*h**2
Let i(r) = r**2. Let s(k) = -k**2 - 92. Determine i(s(w)).
w**4 + 184*w**2 + 8464
Let x(o) = -2*o**2. Let t(s) be the third derivative of -1/60*s**5 - s**2 + 0*s**4 + 0*s**3 + 0 + 0*s. Calculate t(x(a)).
-4*a**4
Let w(c) = 2*c. Let y(p) be the third derivative of -p**6/144 - p**4/8 + 2*p**2. Let v(o) be the second derivative of y(o). Calculate v(w(z)).
-10*z
Let i(d) = -3*d**2. Let l(s) = 3325*s**2. What is i(l(q))?
-33166875*q**4
Let q(b) = 6*b**2. Suppose 0*h + 2*v = -h + 9, -2*h = -3*v - 4. Suppose 2*n = 3*n - 3*s + 1, h*n - s = 9. Let i(x) = 3*x - n*x - 2*x + 2*x. Calculate q(i(l)).
6*l**2
Let o(b) = -2*b**2. Let r(q) = -278*q + 3. Calculate r(o(u)).
556*u**2 + 3
Let d(w) be the second derivative of w**4/4 - 26*w. Let f(c) = -30*c. What is d(f(g))?
2700*g**2
Let q(w) = 4 + 4*w - 1 - 3. Let h(m) = -2*m. Calculate q(h(j)).
-8*j
Let x(k) = k - 1. Let h(m) = -24*m + 12. Let p(q) = -5*h(q) - 60*x(q). Let b(c) = -c. Calculate b(p(r)).
-60*r
Let a(c) = 3*c. Let j(u) = -105*u - 2. | {
"pile_set_name": "DM Mathematics"
} |
v = -89 - -91. Solve 0 = v*s + s for s.
0
Let o(q) = 9*q - 5*q**2 - q + q**3 - 4*q + 0*q**3. Let h be o(4). Solve -3*c + c = h for c.
0
Let f be 27/12 - (-1)/(-4). Let k(p) = p**3 - p - 2. Let i be k(f). Suppose -3*c - b - 6 = 3*b, -c - i*b - 10 = 0. Solve c*u = 10 - 0 for u.
5
Let r(i) = i**2 - 7*i - 8. Let t be r(8). Solve t = 2*m - m for m.
0
Let g(q) be the first derivative of -2*q**2 + 9*q + 7. Let r be g(-4). Solve r = i - 6*i for i.
-5
Suppose -4*y - 22 = -2*k, -3*k - 3*y + 8 = 2. Solve 3*p - 4*p = k for p.
-5
Let m = 35 + -35. Solve m*c = -3*c for c.
0
Suppose -3*g + 16 = g. Suppose g*t - 2 - 6 = 0. Suppose 3*s = 4*s - t. Solve 0 = s*v - 2 + 4 for v.
-1
Suppose -30 = -2*y + 4*k, -y - 36 = -5*y + 2*k. Suppose 0 = -3*i + y*i + 16. Let g = i - -17. Solve 4 = 3*z + g for z.
-3
Suppose 0 = 4*x - 2*x - 2. Let r be (0/x)/(-1 - 1). Let w = -7 + 12. Solve r = y - w*y for y.
0
Let o(d) = 0*d**3 + 6*d**2 - 6*d + d**3 + 10 + 0*d. Let t be o(-7). Suppose -4*k + 5*k = 1, 0 = -m + 2*k. Solve -t*z = -m - 4 for z.
2
Let p = 5 + 5. Suppose c + c = -2*m + p, -m = -4*c - 5. Solve f - 5 = -c*f for f.
5
Let a be 2/(-6) - (-58)/3. Let v = -10 + a. Suppose w - 2*b = 4, -3*w + v = -4*b + b. Solve -3*z + 4 = -w for z.
2
Let b = -11 - -18. Suppose 2*d - b = d - 2*z, -5*z = 3*d - 19. Let s(o) = -o + 4. Let g be s(d). Solve g - 11 = 5*v for v.
-2
Let c be (-184)/(-10) + 6/(-15). Let o = -8 + c. Solve 8*k = 3*k + o for k.
2
Let u be (-3)/(-2) + -1 + 72/16. Solve u*l - 16 = 4 for l.
4
Let o(x) = -7*x**2 - x - 10. Let h(j) = 15*j**2 + 3*j + 21. Let m(r) = 6*h(r) + 13*o(r). Let k be m(3). Suppose k*b - 10 = -2. Solve -b*z + 1 = 5 for z.
-1
Suppose -6*b + 156 = -2*b. Suppose m + 4*u - b = 3*u, 4*m - 2*u - 180 = 0. Let q = -18 + m. Solve i = -4*i - q for i.
-5
Let v(r) = 4*r - 3. Let s(g) = g**3 + 8*g**2 + 8*g + 9. Let m be s(-7). Let l be v(m). Solve l*p + 6 = 2*p for p.
-2
Suppose -7 = -6*o + 41. Solve 7*l + o = 3*l for l.
-2
Suppose 8*c = 4*c - 8. Let y = -2 - c. Solve y = -4*g + 12 - 0 for g.
3
Let m(z) = z**3 - 2*z**2 - 2*z + 2. Let a be m(3). Solve -10 = a*w - 0 for w.
-2
Let a = 0 - 0. Suppose u - 8 + 3 = a. Let b(y) = -2*y + 46. Let w be b(21). Solve -w*m = m - u for m.
1
Suppose 3*b = -0*b + 45. Suppose -b*l + 10*l = -25. Solve 0*d - d + l = 0 for d.
5
Let n be (-122)/(-6) - 2/(-3). Let r = -6 + n. Solve 0 = z + 4*z + r for z.
-3
Let g be 1*-5*(-6)/10. Suppose 4*m - 49 - 6 = f, 3*m = -2*f + 55. Suppose -2*a - g*b = -2*b - m, -5*b + 3 = a. Solve 5*j + 12 = -a for j.
-4
Let f be (-4)/(-5)*210/28. Let p(b) = -2*b**3 + b + 1. Let r be p(-2). Solve -f*i + r = -3*i for i.
5
Let u(i) = -i + 1. Let d be 3 + (-4)/(4/11). Let c be u(d). Let a = c + -9. Solve 3*m + 2 + 1 = a for m.
-1
Let a = 0 - 28. Let x be 18/(-4)*a/14. Solve -x - 1 = -2*u for u.
5
Let t be 3*1 - (-2 - (-5 - -6)). Solve -o - 2*o - t = 0 for o.
-2
Suppose 5*d - 3*d = -s + 33, 4*s = -2*d + 24. Solve -2 = -4*v - d for v.
-4
Suppose 25 = -5*k + 5*u, 2*k = 3*u + u - 8. Let h be (-10)/k + (-11)/(-33). Solve 4 + 6 = -h*x for x.
-5
Suppose 0 = -3*y + 39 - 9. Suppose -4*l - 2*a - 4 = 0, -3*a = 5*l - 7*a + 5. Let m = l - -3. Solve 0 = -m*d - 0 + y for d.
5
Let t be (0 - (2 + -5)) + 4. Solve 3*r + 20 = t*r for r.
5
Suppose 20 = 5*m - m. Solve k + 12 = m*k for k.
3
Suppose -21 = -5*a - 66. Let f = a - -13. Solve -f*q + 5 = -11 for q.
4
Suppose -f = -5*f + 16. Solve f*x - 19 = -3 for x.
4
Suppose 0 = b - 0*b + 3. Let u(r) = r + 3. Let s be u(b). Solve a - 4*a + 9 = s for a.
3
Suppose 2*q = 2*h + 11 + 3, -2*h - 10 = 0. Solve -3 = x + q for x.
-5
Suppose 5*f - f = 0. Suppose 2*c = -2*w + 6, f*w - 5*w - 5 = 0. Solve -d - c = -0*d for d.
-4
Let p(x) = 8*x + 16. Let f be p(-2). Solve 0 = -f*g - 2*g + 10 for g.
5
Suppose 4*c + 6 = 5*c. Solve a = 4*a + c for a.
-2
Let d(i) = -3*i**2 - 11*i + 25. Let t(h) = -2*h**2 - 5*h + 13. Let b(f) = 3*d(f) - 5*t(f). Let w be b(7). Solve 12 = -w*l - l for l.
-3
Let u(v) = v**3 + 6*v**2 + 4*v + 3. Let y = 6 - 9. Let z be u(y). Suppose -4*k = 2*d + 12, -d - 3*k - z = -4*d. Solve d*q + 10 - 2 = 0 for q.
-4
Suppose 0*t = 4*t - 20. Suppose 0*y = t*y + 105. Let c be 1/(-7) + (-45)/y. Solve -h + 4 = -c*h for h.
-4
Let g be 20/(-7)*(-49)/14. Solve 2*s + g = 4*s for s.
5
Let o(n) = 5*n. Let t be o(2). Suppose 0 = 8*d - 3*d - t. Solve 9 = d*q - 1 for q.
5
Let s be (0/3 - 1)*(-5 - -3). Solve 0 = -k - s + 3 for k.
1
Let i be 28/8 - ((-9)/(-6))/3. Suppose 5*b - 2*b = 18. Solve i*v - b*v = 0 for v.
0
Suppose 2*v - 104 = -2*v. Let g be (-12)/(-78) + (-4)/v. Solve 3*u + 0 - 12 = g for u.
4
Let l(t) = -t + 6. Let s be l(5). Solve -2*j + 5 = -s for j.
3
Suppose 0 = -2*z + 5*w - 5 + 2, -3*w = 4*z - 7. Let n(m) = m**3 - 5*m**2 + 6. Let i be n(5). Let a(l) = l - 3. Let c be a(i). Solve j = z + c for j.
4
Let f(c) = 2*c + 4. Let w(q) = -4*q - 7. Let g(o) = 5*f(o) + 3*w(o). Let d be g(-2). Solve -2 = a - d*a for a.
1
Suppose -j - 20 = -6*j. Solve -j*f + f = -6 for f.
2
Let o be 2/(-8) - (-850)/40. Solve -4*q + o = 5 for q.
4
Let q(i) = -3*i - 5. Let y(r) = -r**3 + 6*r**2 + 8*r - 9. Let o be y(7). Let f be q(o). Solve 3 = w - f for w.
4
Suppose -4*h - 2*d + 10 = -0*d, 3*d = 3. Solve h*u = 3*u - 1 for u.
1
Suppose 4*l = -2 + 14. Suppose r - 3*m - 5 = 6, 29 = 4*r + 3*m. Suppose l*o - 4 = r. Solve -h + 0 - o = 0 for h.
-4
Let y = -26 - -28. Let k = -4 + 7. Let p = y + k. Solve -3*v = p + 1 for v.
-2
Suppose 3*y = 2*y + 4. Suppose r - 32 = -3*n, -4*r + 0*n + n + 63 = 0. Suppose -2*a - y*j = -28, -a = -j - 0*j - r. Solve -2*o + a = 2*o for o.
4
Let p(v) = 3*v + 4. Let i(h) = -2*h - 4. Let n = -6 + 3. Let q(a) = n*p(a) - 4*i(a). Let g be q(4). Solve g = y + y - 8 for y.
4
Suppose 31 = -4*k - 1. Suppose -i + 6*i = 50. Let d = i + k. Solve 5*o - d = -7 for o.
-1
Let k = 60 + -58. Solve -k*x = x + 9 for x.
-3
Let h = -73 - -75. Solve 0 = h*v - 4*v + 6 for v.
3
Suppose -l = -3*q - 3, 2*q - 1 = 5*l - 29. Solve -2*n = -l*n - 16 for n.
-4
Let r(d) = 2*d - 9. Let y be r(7). Suppose 1 = 2*w - 13. Solve -y = -4*g + w for g.
3
Let i(w) = w**3 + 3*w**3 + 2*w**3. Let h be i(1). Solve 2*y = 4 + h for y.
5
Suppose -5*o - 2*s + 12 = 0, 0*s = o - s - 1. Suppose o*h + 1 = 4*h - 3*b, -2 = -2*b. Solve -h*j - 8 = -4*j for j.
4
Let g(q) = -3*q**3 - q**2 + 3*q - 2. Let m be g(1). Let n be -1*((-12)/(-2))/m. Solve 5*x - 15 = n*x for x.
5
Let i = -6 + 10. Suppose i*n = 0, 4*t - 3*n = -t + 10. Let b(w) = w + 1. Let m be b(t). Solve -h = -m*h for h.
0
Let o = 1 - 1. Suppose o = 2*r - 4 - 0. Let f be -18*((-4)/(-6))/(-2). Solve r*s - f = 5*s for s.
-2
Let k = -13 + 17. Solve 15 = k*r - r for r.
5
Suppose -4 = -2*b + 4. Suppose 4*v - b = -0*v. Let t be (-1 + v)*(-2)/4. Solve -2*i - 3*i - 10 = t for i.
-2
Let b be (2 - 1) + 2 + 0. Suppose -t = -0 - b. Solve t = o - 0*o for o.
3
Let j be (-2)/(-2*3/12). Solve -4*b = -12 + j for b.
2
Let h = 0 - 0. Let o = h + 0. Let f(p) = -3*p - 8. Let w be f(-6). Solve -7*t + 2*t + w = o for t.
2
Let t(z) = z + 2. Let k be t(4). Let n be 6/((-2)/(-2) + 0). Solve k*o = 3*o - n for o.
-2
Let h(d) = 4*d + 38. Let w(p) = -3*p - 25. Let v(f) = 5*h(f) + 7*w(f). Let a be v(-5). Solve -5*x = -x - a for x.
5
Let s = 8 + 0. Let b(u) = u**2 - 9*u + 12. Let n be b(s). Solve n = -j - j for j.
-2
Suppose -2*j - 3*j = 2*o - 15, o - 13 = 3*j. Suppose -2*f + 34 = 4*q, -15 = 4*f + f. Let c(g) = g + 27. Let n be c(-23). Solve n*l = -o - q for l.
-5
Suppose 0 = -5*r - b + 14, -4*r - 2*b = -3*b - 13. Solve -r*p + 6*p = -9 for p.
-3
Suppose -6*t - 12 = -9*t. Solve -t*u - 20 = u for u.
-4
Suppose -7 = -3*b - 4*y + 25, 3 = 2*b - y. Solve -b*c + c = 0 for c.
0
Suppose 4*l - 14 - 6 = -3*m, 0 = -m - 5*l + 14. Suppose -2*b + g = -m*g, g = -b. Solve b = -5*k + 4 - 19 for k.
-3
Suppose 77*d = 73*d. Solve d = -2*a - 3*a for a.
0
Suppose 0 = -2*s - 2*a + 2, -4*s = 2*a - 7*a - 4. Suppose -3*x - s = -13. Let m be (-3)/(-5) + x/10. Solve m = -4*d - 15 for d.
-4
Let d be 1*-1*(5 + 0). Let q = d + 9. Let v(u) = u - 6. Let j be v(9). Solve f + j*f = -q for f.
-1
Suppose -3*n + 1 = -2. Solve 0 = i + n + 4 for i.
-5
Let w = 6 + -7. Let y = w + 3. Suppose -v = 2*v - 9. Solve 4*h - y = v*h for h.
2
Let y(j) be the first derivative of j**3/3 + 4*j**2 + 10*j - 4. Let k be y(-8). Solve -d - 4*d = k for d.
-2
Suppose 5 = x + 2. Let n be 132/(-8)*(-2) | {
"pile_set_name": "DM Mathematics"
} |
-m**3 + 10*m**2 - 12*m - 5. What is the units digit of f(8)?
7
Suppose 0 = -3*r - 2*r - 2*p - 3704, 3*p + 6 = 0. What is the tens digit of (-5)/20 - r/16?
4
Let j(y) = y**3 - 21*y**2 - 30*y + 136. What is the hundreds digit of j(23)?
5
Let o(k) = k**2 + 6*k + 7. Let a be o(-5). Suppose 4*y + 4*i - 448 = 0, 5*i = -a*y - y + 338. What is the units digit of y?
1
Suppose -3*l + 830 = 2*l. Let k = -71 + l. Let a = 133 - k. What is the units digit of a?
8
Suppose -119*o = -117*o - 1032. What is the tens digit of o?
1
What is the tens digit of (1755/260)/(2 - 7/4)?
2
What is the units digit of ((-5412)/18)/((-3)/18*4)?
1
What is the units digit of 8/(64/5976) + 4?
1
Suppose -62*d - 2322 = -68*d. What is the units digit of d?
7
Let t(y) = -5*y**2 - 6*y. Let w be t(-4). Let o be (-4)/6*(-4731)/(-38). Let s = w - o. What is the tens digit of s?
2
Let o be (5/(-5))/(2/(-116)). Let z = o - -11. What is the tens digit of z?
6
Let j(d) = d**3 - 8*d**2 - 9*d. Let b be j(9). Let u be b/2*(4 + -5). What is the tens digit of (-6 - -9) + u + 34?
3
What is the hundreds digit of -17 + 12 - 137*(-2)/2?
1
Suppose 1323 = 8*i - 1981. What is the units digit of i?
3
Let b be 6*4*20/30. Suppose -3*p - 30 = -4*a, -a + b = -6*p + p. What is the units digit of -1 + 3 + 2 + a?
0
Let p(g) be the second derivative of 109*g**3/6 - g**2 + 13*g. What is the tens digit of p(1)?
0
Let o(u) = u + 8. Let c be o(6). Suppose 0 = 3*n + 4*i - 5*i + 10, -5*n = i + 14. Let k = c + n. What is the units digit of k?
1
Suppose 2*v = -l + 1245, 15*l - 19*l = -5*v - 5006. What is the units digit of l?
9
Let x = 16 + -15. Let o(q) = -x + q + 4*q + q + 3*q. What is the tens digit of o(2)?
1
Let a = 758 - 116. What is the hundreds digit of a?
6
Let w = -308 + 323. What is the units digit of w?
5
Let q(y) = 13*y**2 - 12*y - 41. What is the units digit of q(-6)?
9
Suppose d + 2*j - 671 = -2*j, 662 = d + j. What is the units digit of d?
9
Let n(j) be the third derivative of j**6/120 - 3*j**5/20 + j**4/8 + 2*j**3/3 - 12*j**2. What is the tens digit of n(9)?
3
Suppose -5*p + o = -4*p - 220, 0 = -3*p - o + 640. What is the hundreds digit of p?
2
Let b = -28 + 59. Let g = 56 - b. What is the units digit of g?
5
Suppose -x + 638 = 3*c - 444, 4*c = 20. What is the hundreds digit of x?
0
Let u(b) = 18*b**2 + b. Let y be u(1). Suppose 8*i = -4*d + 4*i + 16, -3*d = 2*i - 10. What is the units digit of y + (-2)/d + 5?
3
Let t(o) be the first derivative of -5 + o + 1/4*o**4 - o**3 - 3/2*o**2. What is the units digit of t(4)?
5
Suppose -5385 = 799*k - 814*k. What is the units digit of k?
9
Suppose -4*j - l + 4194 = 0, 19*j = 24*j - 5*l - 5230. What is the units digit of j?
8
Suppose 5 + 3 = -2*h, o + 5*h - 52 = 0. Suppose -3*d = 3*w + 2*d - 32, o = 5*w - d. Suppose -4*l + 3*u + w = -34, -5*l + u = -49. What is the units digit of l?
9
Suppose 72 = -12*k + 14*k. Let g be (-217)/(-4) + (-9)/k. Suppose 3*f - g = -3*f. What is the units digit of f?
9
Suppose 3*j = 3*g - 5037, -g - 9*j + 1685 = -4*j. Suppose -11*b = -6*b - g. What is the tens digit of b?
3
Suppose -c = 3*p - 2596, 11*p + 2*c = 6*p + 4327. What is the tens digit of p?
6
Let c(n) = 3*n + 28 - 4*n - 22. Let x be c(4). What is the tens digit of 89/x + 2/4?
4
Suppose -5*l + 5 = 0, -2*l = -k + 24 + 24. Let n(c) = 10*c**2 + 6*c + 5. Let o be n(-1). Suppose k = f + o. What is the tens digit of f?
4
Let w = 1681 - 822. What is the tens digit of w?
5
Suppose 0 = 2*w - 5*t - 3, -3*t = 5*w - 0*t - 23. Suppose 0 = w*h - 8*h. Suppose -5*v + v + 96 = h. What is the tens digit of v?
2
Let i = -2441 + 3572. Suppose -18*o + 273 = -i. What is the tens digit of o?
7
Let x(q) = q**3 + 16*q**2 + q + 5. Let m be x(-16). Let o = m + 13. What is the units digit of o/(-11) - 3695/(-55)?
7
Let i be (-3)/(3 + 15/(-4)). Suppose w + i*f = -1 - 16, 0 = -4*w - 2*f - 54. Let p = w + 18. What is the units digit of p?
5
Let c = 8 + -2. What is the units digit of (-845)/(-10) + c/(-4)?
3
Let d be 1 + -90 + 6/2. Let q = 121 + d. What is the units digit of q?
5
Let m(g) = 5*g**2 - 16*g - 95. What is the units digit of m(26)?
9
Let m(x) = -x - 12. Let n be m(-13). Suppose n = 4*g + 5. What is the units digit of g/(-2)*14 + -4?
3
Let z be (-1)/(0 + -2)*6. Suppose -z*a + 1137 = 435. What is the units digit of a?
4
Suppose 11*k = k + 30. Suppose 4*p - 26 + 487 = k*q, 613 = 4*q - 5*p. What is the tens digit of q?
4
Let m = -21 + 40. Suppose 3*v + m = -2*z, -4*v - z - 2*z - 26 = 0. What is the units digit of -4*8/5*v?
2
Suppose 0 = 42*d + 13*d. Let a = -18 + 27. Suppose -a = -v - d*v. What is the units digit of v?
9
Let i(u) = 12*u**2 - 79*u + 61. What is the thousands digit of i(22)?
4
Let o(l) = 64*l - 6. Let i(r) = 32*r - 3. Let t(h) = -13*i(h) + 6*o(h). What is the units digit of t(-3)?
9
Let x be (7/7)/(3/12). What is the units digit of -2*(305/(-10))/(2/x)?
2
What is the units digit of (((-25)/15)/(-5))/((-2)/(-1002))?
7
Let j(v) = 8 + 6*v + 3*v + v**2 + 8*v - 5*v. Let l be j(-7). Let y = -7 - l. What is the units digit of y?
0
Let q be -3 + 100 + (1 - 3). Let c = q - 53. What is the units digit of c?
2
What is the hundreds digit of (5/3)/(53/35775)?
1
Let c(s) = -10*s. Suppose -3*v = -7*q + 3*q + 11, -v = -5*q + 22. Let l be v/(-7) - 8/14. What is the tens digit of c(l)?
1
Let m = 5 - 13. Let n be (m/(-24))/(1/(-9)). What is the tens digit of n/(-3) + 1 - -12?
1
Suppose -3*i + s = -842, 13*i - 3*s = 14*i - 284. What is the tens digit of i?
8
Suppose 3*v + 2*r = 6354, 4220 = -2*v + 4*v - 4*r. What is the thousands digit of v?
2
Let c(p) = -9*p + 11. Let w be c(1). Let f(n) be the first derivative of n**4/2 - n**3/3 + 3*n**2/2 - 3*n - 1. What is the units digit of f(w)?
5
Let w(x) = 12*x**2 + 24*x + 99. What is the units digit of w(-5)?
9
Let t be (46 + -7)*(-23)/(-3). Suppose t = 5*n + 24. Let z = n + -31. What is the tens digit of z?
2
Suppose 114456 = 56*j + j. What is the tens digit of j?
0
Suppose 3*y - 19*z = -18*z + 6910, 2*y - 4612 = 2*z. What is the hundreds digit of y?
3
Let b = -5374 - -8991. What is the tens digit of b?
1
Let o = -96 - -86. What is the units digit of 73 - o - (1 + 4 + -2)?
0
Let z = -11 + 22. Let x = z + -15. What is the units digit of (-4)/5*10/x?
2
Suppose 3*s + 2*u = -2*u - 68, -u - 22 = s. Let v = s + 56. Suppose v = -z + 5*z. What is the units digit of z?
9
Let h = 58 - 75. What is the hundreds digit of (-23 - h)*(-131)/3?
2
Let p(v) = v - 7. Let b be p(8). What is the tens digit of 58/b - (2 - 1)?
5
Let t = 94 + -78. Suppose -t*k = -2*k - 2016. What is the tens digit of k?
4
What is the thousands digit of -1*8*16272/(-64)?
2
Suppose 4*u = -3*k + 106, -5*k - 18 + 53 = u. Suppose 4*p - 55 - u = 0. Let i = -8 + p. What is the units digit of i?
2
Let d(s) = -8*s + 4. Let f be d(-3). Suppose 4*g + f = 2*g. What is the tens digit of 6/g + (-346)/(-7)?
4
Let j(s) = -10*s + 98. What is the units digit of j(-9)?
8
Let k = -2016 + 3556. What is the thousands digit of k?
1
What is the hundreds digit of ((-32070)/270)/(2/(-18))?
0
Let x(u) = -4*u**2 + 2*u - 1. Let t be x(1). Suppose -7*y - 36 - 153 = 0. What is the tens digit of t*1 + (5 - y)?
2
Suppose -9 - 21 = 5*r. Let z(g) = 4*g**2 + 10*g + 15. What is the tens digit of z(r)?
9
Let o be (5/(-2) + 3)*(-28)/2. Let y(u) = 2*u**2 + 3*u + 23. What is the tens digit of y(o)?
0
Let n be (-54)/(-13) - (11/(-13) + 1). Suppose c + n*t = -c + 552, 3*c - 837 = -3*t. What is the tens digit of c?
8
Let w be 9 - (-2)/(6/9). Suppose -w = -v - 3*v, m + 2 = -v. Let q = 5 - m. What is the units digit of q?
0
Suppose f = -0*f. Let r = -8 + f. Let g = r - -16. What is the units digit of g?
8
Suppose 3*f - 625 = 2*y, 262 = 2*f - 4*y - 168. Suppose -t - 69 = -f. What is the units digit of t?
6
Let y = -175 + 174. Let c(z) = 35*z**2 + 4*z + 5. What is the units digit of c(y)?
6
Suppose -351*v = -344*v - 6496. What is the units digit of v?
8
Suppose u + z + 3 = 0, -4*u - 5*z = -3*u + 15. Suppose 5*n + 0 - 10 = u. What is the tens digit of -2 + (4 - n)*19?
3
Suppose -3*u - 4*l + 172 = -0*l, 2*u - 103 = -5*l. What is the tens digit of u?
6
Suppose 3*o - 9*s = -7*s + 381, 4*o + 4*s = 488. What is the units digit of o?
5
Suppose -2*y + 20 = 4*o, 2*y - o = 4*o - 25. Suppose 2*n - 7*n + 45 = y. Suppose n = 3*k - 15. What is the units digi | {
"pile_set_name": "DM Mathematics"
} |
42)*4).
-6*sqrt(2)/11
Simplify (2 + sqrt(300) + 2 + (-3*sqrt(300))**2*-6)*-4.
-40*sqrt(3) + 64784
Simplify (sqrt(35)/sqrt(80) + -1*sqrt(63) - 2*sqrt(126)/sqrt(2))**2.
8575/16
Simplify -1 + ((0 + sqrt(468))*-6 - sqrt(468)) - (sqrt(156) + 5*(sqrt(156) + sqrt(156)*1 + sqrt(156)))/((sqrt(192)/sqrt(4))/sqrt(4)).
-58*sqrt(13) - 1
Simplify 1*((sqrt(2299) + -1)*-3 + sqrt(2299) + 0)**2.
-132*sqrt(19) + 9205
Simplify ((-1*sqrt(99)*-2)**2 - ((sqrt(99) + 0 + sqrt(99) + -2)**2 - sqrt(99))) + 3.
-1 + 27*sqrt(11)
Simplify 4 + 6*-2*sqrt(192)*-6*-5 + 0.
-2880*sqrt(3) + 4
Simplify -5*((0 + sqrt(1792) + sqrt(1792) + 2*sqrt(1792))*4*2)**2.
-9175040
Simplify 2*(2 + (-1*sqrt(459))/((sqrt(21)*2)/sqrt(7))).
-3*sqrt(17) + 4
Simplify 6*(sqrt(2695)*2 + sqrt(220)/sqrt(4)*-6)/(sqrt(1100) - sqrt(1100)*1 - sqrt(11) - sqrt(11) - (sqrt(11) + sqrt(396)*1 + sqrt(396))).
-16*sqrt(5)/5
Simplify (-5 + sqrt(700) + 2 - 2*(0 + sqrt(700)))**2.
60*sqrt(7) + 709
Simplify (sqrt(1728)*-5)/((sqrt(81) + sqrt(9))*5).
-2*sqrt(3)
Simplify (-5*(sqrt(84) - (sqrt(84)*3 - sqrt(84)))*6)/(sqrt(48)/sqrt(4)*1 - (-2*sqrt(144))/sqrt(12)).
10*sqrt(7)
Simplify (sqrt(60) + 2*(sqrt(60) - (sqrt(60) + sqrt(300)/sqrt(5))))/(sqrt(12)*1*-6).
sqrt(5)/6
Simplify sqrt(132)/((sqrt(96)/sqrt(4))/sqrt(2)) + -4 - ((1*sqrt(66))/sqrt(6)*-2)**2*4.
-180 + sqrt(11)
Simplify (2 + (sqrt(468) - (sqrt(468) + 2)) + sqrt(468) - -2*(sqrt(468) + sqrt(468) + -2))**2 + 5.
-240*sqrt(13) + 11721
Simplify (-2*(1 + sqrt(175)))**2 + 2 + -4 + sqrt(63).
43*sqrt(7) + 702
Simplify -4 + (sqrt(88) - (sqrt(88) - (sqrt(88)*2 - sqrt(88)) - sqrt(88))*1)/((sqrt(64)*1)/sqrt(8)).
-4 + 2*sqrt(11)
Simplify ((-4 + 5 + sqrt(95)/sqrt(5) + -3*sqrt(475))*-4)**2*5.
-2240*sqrt(19) + 298000
Simplify (6*(sqrt(132)*-2 - sqrt(132)) - (sqrt(132) + 4*((-1*sqrt(132) - sqrt(132)) + sqrt(132)) - sqrt(132)))/(sqrt(192)*-3*2).
7*sqrt(11)/12
Simplify (5*(2*(sqrt(13) - 2*sqrt(13))*4 + -4 + (sqrt(13) - sqrt(26)/sqrt(2))*1))**2.
1600*sqrt(13) + 21200
Simplify (4*-5*3*sqrt(228))/(sqrt(108)/(2*(sqrt(9) - (sqrt(27)/sqrt(3) + sqrt(9))))).
120*sqrt(19)
Simplify (-3 + sqrt(252)*-4)**2 + ((sqrt(70) - 2*sqrt(70))*-3)/sqrt(10).
147*sqrt(7) + 4041
Simplify (((sqrt(3) - sqrt(6)/(sqrt(2)*3)) + sqrt(3) - sqrt(30)/(sqrt(10)*-3 - sqrt(10))) + 5)**2*1.
115*sqrt(3)/6 + 1729/48
Simplify (4*2*sqrt(132)*-5)/((sqrt(240)/(-1*sqrt(5)))/sqrt(4)).
40*sqrt(11)
Simplify -6*((5*(sqrt(171) + -1 - sqrt(171))**2 - sqrt(171) - sqrt(171) - (1 + sqrt(171) + -3)) + -5) + -2.
-14 + 54*sqrt(19)
Simplify (sqrt(13) + sqrt(91)/(sqrt(14)/sqrt(2)) - (sqrt(78)/sqrt(6) + -4))**2 - ((1 + sqrt(13) + -4)*-4*5)**2.
-8771 + 2408*sqrt(13)
Simplify (3*(sqrt(1573) - (1 + sqrt(1573))) + (sqrt(1573)*1 - sqrt(1573))*-5 + sqrt(1573))**2 + (5*(sqrt(13) - sqrt(52)/(sqrt(16)/sqrt(4))) + 5)**2.
-66*sqrt(13) + 1607
Simplify (1*(sqrt(700) + sqrt(700)*2 + 3 + (sqrt(700) + -2*sqrt(700)*1 - sqrt(700)) + 3*sqrt(700)*-1 + 2))**2.
-200*sqrt(7) + 2825
Simplify ((sqrt(85) - (sqrt(85) - (sqrt(85)*1*3 + sqrt(85)))) + 4*2*sqrt(85))/(2*-2*sqrt(245) + sqrt(245) + sqrt(245)).
-6*sqrt(17)/7
Simplify ((6*1*sqrt(95)*1)/(sqrt(25)/(sqrt(245) + 1*sqrt(245) + sqrt(245))))**2.
301644
Simplify (((sqrt(77) + (sqrt(77)*6 - sqrt(77)))*3)/(-1*sqrt(1100) - sqrt(1100) - sqrt(1100)))**2.
63/25
Simplify (-1*sqrt(13) + -1 - (sqrt(13) + 1)*6 - ((sqrt(104)/(sqrt(8)*-2) - sqrt(13))**2 - (sqrt(832) + (-2*sqrt(832) + sqrt(832) - sqrt(832))**2)))*-4.
-13167 - 4*sqrt(13)
Simplify (-1 + (sqrt(17) - -4*sqrt(68)/sqrt(4)))**2 + (-2*sqrt(2448))**2*-2.
-19158 - 10*sqrt(17)
Simplify (0 + -1 + sqrt(1088))**2 + -3 - (2 + -3 + (-2*sqrt(1088) - sqrt(1088)) + sqrt(1088)).
1087
Simplify -5*((2*sqrt(176))**2 + (1*sqrt(891) + sqrt(891))**2 - (sqrt(66)*-1*-5)/sqrt(6)).
-21340 + 25*sqrt(11)
Simplify ((-3*sqrt(180) + sqrt(180))/sqrt(9) + sqrt(20) + 5 + -2 + -2*sqrt(5) + sqrt(5))**2.
-18*sqrt(5) + 54
Simplify (5*1*sqrt(720))/(sqrt(144)*1 + sqrt(567)/sqrt(7)).
20*sqrt(5)/7
Simplify -5*(sqrt(825)/sqrt(3) + (sqrt(1100)/sqrt(4))**2)*-6.
150*sqrt(11) + 8250
Simplify 3*(-3*(-2*sqrt(171))**2 - (-5 + sqrt(1216) + 1 + sqrt(1216))).
-6144 - 48*sqrt(19)
Simplify (-6*(sqrt(136) - ((sqrt(136)*1 - sqrt(136))*-3 - sqrt(136))))/(sqrt(80)/(-3*sqrt(10)*-2)).
-72*sqrt(17)
Simplify (-1 + 5*((-1 + sqrt(891))*3 + 5 + sqrt(891) + sqrt(891) + -1))**2.
1800*sqrt(11) + 556891
Simplify -6*((sqrt(187)/(sqrt(44)/sqrt(4))*-3 - (sqrt(204)*2*3)/sqrt(12)) + -2).
12 + 54*sqrt(17)
Simplify -2*(2*(sqrt(136) + 3*sqrt(136)))/(sqrt(40)/(sqrt(245) - sqrt(5))).
-96*sqrt(17)
Simplify (-2*(-5 + sqrt(17)*2 + sqrt(17))*-2*4)**2.
-7680*sqrt(17) + 45568
Simplify 2*-6*5*6*((sqrt(7) + -4)**2 - sqrt(7)).
-8280 + 3240*sqrt(7)
Simplify (-1*sqrt(637) + sqrt(1300) + -1 + sqrt(1300))**2 + (1 + sqrt(13) + 0 - sqrt(13)) + 3 + sqrt(26)/sqrt(2).
-25*sqrt(13) + 2202
Simplify 5*(5 + sqrt(76)*2) - 6*(1 + sqrt(76) + sqrt(76))*1.
-4*sqrt(19) + 19
Simplify ((sqrt(208) - (sqrt(208) - sqrt(208)*4 - sqrt(208) - sqrt(208))) + sqrt(208))/(sqrt(64) - sqrt(64)*2).
-7*sqrt(13)/2
Simplify -1 + (sqrt(99) - -1*(sqrt(99) + 4*sqrt(99)) - (sqrt(99) + 4 + -4))**2.
2474
Simplify (6*(0 + sqrt(1100)*1 + -1 + sqrt(1100)))**2 + -1.
-1440*sqrt(11) + 158435
Simplify -5*(sqrt(4) + (sqrt(40)/sqrt(2))/sqrt(5) - sqrt(12)/sqrt(3)*-5)/((sqrt(1936)*-2)/sqrt(8)).
35*sqrt(2)/22
Simplify ((sqrt(153)*-1 - (sqrt(17) + sqrt(68)/sqrt(4))*6) + -1*sqrt(2057) + 2)**2.
-104*sqrt(17) + 11496
Simplify (-5*(sqrt(2057)*-2*3 + 3))**2*-4.
-7406100 + 39600*sqrt(17)
Simplify ((sqrt(832) + 2 + -1)*4*-4 + 3)**2*-3.
-639483 - 9984*sqrt(13)
Simplify 5*((-4 + sqrt(2) + sqrt(2))**2 + sqrt(2) - sqrt(2))*-4*-4 + 1.
-1280*sqrt(2) + 1921
Simplify -2*(5*sqrt(44))**2 - (2 + sqrt(275) - sqrt(275))*6.
-2212
Simplify (-5*sqrt(637)*-2 + sqrt(637) + (sqrt(637) + 1)*5)**2.
1120*sqrt(13) + 163097
Simplify 2 + (3*2*sqrt(1300))**2 + 3 + (sqrt(1300)*2)**2.
52005
Simplify (sqrt(28)/(sqrt(16) - sqrt(4)) + (sqrt(35)/(sqrt(5)*1) - sqrt(7)))**2 + -3*1*2*sqrt(7).
-6*sqrt(7) + 7
Simplify (-2*((sqrt(3500) - (sqrt(3500) - (-2*sqrt(3500) - sqrt(3500)) - sqrt(3500))) + sqrt(3500) + sqrt(3500)))/(-4*sqrt(175)*-2).
0
Simplify ((1 + sqrt(343))*-1 + sqrt(343) + (sqrt(343)*3)**2*2)*-4.
-24692
Simplify (sqrt(70) + (sqrt(70) + 5*sqrt(70))*6)/(sqrt(110)/(5*sqrt(11)))*3.
555*sqrt(7)
Simplify (5*-1*sqrt(130) + (sqrt(130) - 2*sqrt(130)*5))/(sqrt(40)/(sqrt(100)*-6 - sqrt(4))).
434*sqrt(13)
Simplify 5*(sqrt(104) - (sqrt(104) + (sqrt(104)*-4 - sqrt(104))*5))/((sqrt(72) - 4*sqrt(72))/sqrt(9)).
-125*sqrt(13)/3
Simplify (-5*sqrt(1296)*-2)/(sqrt(75) + (1*1*sqrt(75) - sqrt(75)) + sqrt(75)).
12*sqrt(3)
Simplify (6*(sqrt(14)/(-3*sqrt(200)) - -5*sqrt(28)/(1*sqrt(4))))**2.
155407/25
Simplify -2 + sqrt(1458) + 1*sqrt(1458) + sqrt(1458) - (3 + 2 + sqrt(882) - sqrt(882)).
-7 + 81*sqrt(2)
Simplify (sqrt(160)/sqrt(32))/(sqrt(10) + 1*sqrt(10)*1 - sqrt(10)) + 4.
sqrt(2)/2 + 4
Simplify ((4 + 1*((sqrt(2299) - (sqrt(2299) + (sqrt(2299) + 1)*-6)) + sqrt(2299)))*-5)**2.
38500*sqrt(19) + 2818775
Simplify 3 + -3 + (-1*sqrt(60))/sqrt(12) + 0 + ((sqrt(5)*4)**2 - sqrt(5)).
-2*sqrt(5) + 80
Simplify 5*(-3 + sqrt(468)*2*2 + 4*(1 + sqrt(468) + sqrt(468)) + -1)**2.
336960
Simplify -4 + (4*sqrt(4)*-3)/(-3*sqrt(2)*-4 + sqrt(2)).
-4 - 12*sqrt(2)/13
Simplify ((sqrt(5) + 2)**2*2 - (sqrt(5) - (1 + sqrt(10)/sqrt(2))**2)) + 3 + 5.
9*sqrt(5) + 32
Simplify (sqrt(450) - -1*sqrt(450)*-1)/((sqrt(150) - 1*sqrt(150)) + sqrt(726)*2).
0
Simplify ((-3*(sqrt(1584) + (sqrt(1584) - -2*sqrt(1584))))**2 - (sqrt(1584) + ((sqrt(1584) + 3 + 1)**2 - sqrt(1584)) + sqrt(1584)))*-4 + -1.
-905985 + 432*sqrt(11)
Simplify ((-2 + 2 + sqrt(500) + 5 + 3)*1)**2.
160*sqrt(5) + 564
Simplify 4*(-4 + sqrt(125)*-2*-3 + 2*(sqrt(125) + ((sqrt(125) - sqrt(125)*1)**2 - sqrt(125)))).
-16 + 120*sqrt(5)
Simplify (sqrt(14)/sqrt(175) + 2*sqrt(12)/sqrt(6) - sqrt(24)/(3*sqrt(1200)))**2.
169/18
Simplify -5 + (1 + (sqrt(3) - (sqrt(12)/sqrt(4)*-5 + sqrt(3))**2) - (-1 + (sqrt(27))**2 + -2)).
-76 + sqrt(3)
Simplify (5 + sqrt(104)/sqrt(72) - sqrt(208)*6*-6)**2.
4330*sqrt(13)/3 + 2437582/9
Simplify ((-5*sqrt(810))/(sqrt(40)/(sqrt(32)/sqrt(4))))**2.
4050
Simplify ((6*2*sqrt(800))/(6*sqrt(16)/sqrt(4) - sqrt(8)/sqrt(8)))**2.
115200/121
Simplify 4 + ((sqrt(2916)*-2 + (-2*sqrt(1296) - sqrt(1296)) + sqrt(36))/(sqrt(48)*-2 - sqrt(96)/(sqrt(1 | {
"pile_set_name": "DM Mathematics"
} |
**15*((((h*h**0*h)/h)/h)/h)**32*(h**1)**(3/5) assuming h is positive.
h**(-2053/20)
Simplify ((u*u**(3/5))/(((u/(u**6*u))/u*u)/u)*(u/(u/(u*u**1)))**(37/3))/((u/u**0)**(-50)*u**0*u**(-3)) assuming u is positive.
u**(1294/15)
Simplify p**(-5)/((p**(-2)*p*p)/p)*(p/(p*p**(-2)))/p*p**(-2/5)*((p*p**(-6)/p*p*p)/(p/(p*p**(-2/11))))**(-39) assuming p is positive.
p**(8783/55)
Simplify ((r/r**0)/r)**(-44)*r/r**(1/6)*r*r**(-3)/r*r*(r**(2/5))**(-17)/(r**(-1/3))**(-24) assuming r is positive.
r**(-479/30)
Simplify (o**(-2)/(o*o**4))**(-44)/(o**(-5)/(o*o*o**(2/5)*o)*o**(-5)*o*o**6) assuming o is positive.
o**(1572/5)
Simplify (x**(-3/22)/x*x*x*x**44*(x*x**(1/2)*x)**37)**(-1/69) assuming x is positive.
x**(-1511/759)
Simplify (w**4*w/(w*w**3))**(-45)*((w*w**(-1)*w)/w*w*w/w**(-2/9))**(36/11) assuming w is positive.
w**(-415/11)
Simplify (((p/p**(-1/11)*p)/(p*p**24))/(p**2*p*p*p/(p/(p/((p/p**(3/8))/p)))))**2 assuming p is positive.
p**(-2489/44)
Simplify (((p*p**1)/p)**(-9/7)/((p/(p*p*p**(-1/2)*p))/p**5))/(p/p**9*p*(p*p*p**(-1/8))/p)**(1/32) assuming p is positive.
p**(9687/1792)
Simplify ((g**(2/3)*(g*g**1)/g)/((((g/g**5*g)/g)/g*g)/g**(-8)))/((g**0/g)**(-42)/(g**(-2/7))**(-2/45)) assuming g is positive.
g**(-13961/315)
Simplify ((d**(1/3)*d*d**(-1/4)/d*(d**(2/5))**33)**(-3/4))**(-50) assuming d is positive.
d**(3985/8)
Simplify (h**(3/17)*((h/(h*h**(-2/11)))/h)/h*(((h/(h**(3/5)/h*h))/h)/h)**17)**4 assuming h is positive.
h**(-107868/935)
Simplify (v**(-34)/v)**(1/35)/(((v**47/v)/v*v*v)/(v*v**(22/9)*v)) assuming v is positive.
v**(-392/9)
Simplify ((c/(c/(c*c**(-3/4)*c))*c**6)/((c*(c/c**0)/c)/c*c*c**(-4/5)))/(c**2*c/c**(-4/3)*c**(2/11)/c**(-3)) assuming c is positive.
c**(-307/660)
Simplify ((o*o**(-5/3)/o*o*o*o*o)/o**3)/((o/(o**(-3/10)*o)*o)/(o/((o/(o/o**(2/3)))/o)))*(o**(-16)/o**(2/19))**(5/2) assuming o is positive.
o**(-23311/570)
Simplify (((z/(z*z**(-1/4))*z)/z*z/z**(-2)*z)/((z**(-4)*z)/(z**(-2)/z*z)))/((z**(-1/6)/z)/(z**(-1/4)*z)*z**(-7/3)/(z/(z**(1/2)/z))) assuming z is positive.
z**11
Simplify (((m**(1/2)*m)/m*m**(-1/3))/(m**(-26)/(m/(m/(m**(4/21)*m)*m))))**(-4/3) assuming m is positive.
m**(-246/7)
Simplify (s/s**(4/3))/((s**(-6)*s*s)/s)*(s**(-1/3))**(-2/15)*(((s*s**(-1))/s)/s)**(-26)/(s**6/s**(1/4)) assuming s is positive.
s**(9173/180)
Simplify (p**(3/2)*p/(p/(p**(-3)/p*p)*p)*((p/(p/(p*p*p**(-2/43))))/p)**39)**(2/81) assuming p is positive.
p**(2983/3483)
Simplify s*s*s**6*s/(s*(s/(s**(-2/21)*s)*s)/s)*s/(s**(-4)/s)*s**4*(((s*s**(-5))/s)/s)/(s**(-2/3)*s)*s**(-4/3)*s**1 assuming s is positive.
s**(236/21)
Simplify ((((t**(-2/21))**(-1/63))**(1/5))**(-2/63))**32 assuming t is positive.
t**(-128/416745)
Simplify (((p/(p**(-2/9)*p)*p/(p/((p/p**(-2/13))/p)))**25)**(-15))**13 assuming p is positive.
p**(-5500/3)
Simplify ((r*r**(7/6)*r/r**(-2/25))/(r**(-1/6)/(r**(-1)/r)))**3 assuming r is positive.
r**(106/25)
Simplify (v**(-1)/((v/(v**(-3/7)*v))/v)*(v/(v*v**(-1/4)/v*v*v*v))**(-12/11))/((v*v**(-1))**(-27)*((v*v**3)/v)/(v*(v**(-2/13)*v)/v)) assuming v is positive.
v**(-674/1001)
Simplify (a**3*a**(2/13))**1/((a**(-8)*a/((a*a**3)/a))/(a/(a**(-2/7)*a*a*a*a)*(a*(a*a**3*a)/a)/a)) assuming a is positive.
a**(1314/91)
Simplify ((r**(2/7))**(-2/27)*(r*r/(r*r**(-1)))**6)/((r*r*r/(r/(r*r/(r**(-2/5)*r))))**(-5/12)*r*r*r**(-2/13)/r*r*r**(5/4)/r) assuming r is positive.
r**(55525/4914)
Simplify ((n**(-2/7))**(-7)/(n**(-6)/n**(3/4)))/((n**(5/6)*n**(-2/5)*n)/(n**(-3)*n*n*n*(n**(-1/4)/n)/n)) assuming n is positive.
n**(76/15)
Simplify (o/o**(-2/29)*o**(-12)/o*(o*o**11)/o**5)**(-8/3) assuming o is positive.
o**(1144/87)
Simplify ((w*w**(25/2)*w)/w)**(3/29)/((w**(-10/13)/w*w)/(w/(w*w*w**(-3/16)*w))) assuming w is positive.
w**(2131/6032)
Simplify (n**(6/5)*n**(-16)*(n**(3/7))**(-23/2))**(2/3) assuming n is positive.
n**(-1381/105)
Simplify ((d*d**(-2/7))/(d/(d/(d**(-4)/d)*d))*(d*d/((d*d**(-2/5)*d)/d))**(-3/19))**(2/53) assuming d is positive.
d**(8636/35245)
Simplify ((s**(2/29)/(s**(-1/2)/s)*(s**2*s)**(-18/11))**(-29))**24 assuming s is positive.
s**(25572/11)
Simplify (p/p**(-5)*p)/p*p*p/(p/(p*p*p**(-1/3)))*((p*p**(-1/4))/p)/p**0*((((p*p/(p**6/p*p)*p)/p)/p*p)/(p/(p*p/p**0)))/(p**2)**(-1/6) assuming p is positive.
p**(23/4)
Simplify (x**(2/5)*x/((x/((x/(x*x**(-2)/x*x)*x)/x))/x))**33/(x*(x*x*(x/x**(6/7))/x)/x*x/x**(-1/5))**(2/3) assuming x is positive.
x**(11617/105)
Simplify ((w**0)**(-7)/(w**(-2/17)*w*w**(-1/5)))**(-2/63) assuming w is positive.
w**(116/5355)
Simplify (((o**(-6)/o)/o**11)/(o/o**4)**(1/20))**(-4) assuming o is positive.
o**(357/5)
Simplify (p**1/(p/p**(-1)*p)*p**(-4/3)*p**(-8)*p)/(((p**(-4)*p)/p)/p*p*p**(2/25)*p**(-1/2)/((p/(p/(p**(-1)*p)*p*p))/p)) assuming p is positive.
p**(-1337/150)
Simplify (v**5*(v*v**(-6/11)*v*v)/v)/(v/(v*v*v/v**(-13/4))*(v**3*v)/v) assuming v is positive.
v**(383/44)
Simplify ((l**(4/21)/l*l*l*l*l*l**(6/5))/(l**(7/3)/(l*l**27)))**(-33) assuming l is positive.
l**(-34716/35)
Simplify (((v*v**9)/v**3)/(v**(-21)/v*v**3*v))**(1/17) assuming v is positive.
v**(25/17)
Simplify (c/c**45)**(4/5)/((c**46*c)/(c**38*c)) assuming c is positive.
c**(-216/5)
Simplify ((m**(5/11)*m**39)/(m**(-26)/m*m*m**19*m*m))**(-6/19) assuming m is positive.
m**(-2934/209)
Simplify ((t**(-6)/(t*t*t**(-2/27)/t))/(t**(-4)/t**(3/5)))/(t**(12/11)*t**(-7/6)*t)**(-19/2) assuming t is positive.
t**(38339/5940)
Simplify (x**16*x)/(x*x**33)*x**(-21)/(((x/(x*(x/((x*x/x**44)/x))/x))/x)/x) assuming x is positive.
x**7
Simplify (l/l**11)**(6/11)/(l**(-27)*l**(2/19)) assuming l is positive.
l**(4481/209)
Simplify ((g**(-5/8)*g*g**(-8)*g*g)/(g**(-1/8)/(g/(g**(13/3)/g))))**(2/9) assuming g is positive.
g**(-47/27)
Simplify (((c**1)**(-1/3)/((c**2*c)/c)**(3/32))**1)**(-39) assuming c is positive.
c**(325/16)
Simplify (((x**7/(x**(-3)*x))**(-11))**50)**(-1/21) assuming x is positive.
x**(1650/7)
Simplify (((f**(14/9)/f)/(f*((f*(f*(f*f/f**(6/5))/f)/f*f)/f)/f))/(f/(f*f**(-5/3)))**47)**(-2/3) assuming f is positive.
f**(7072/135)
Simplify ((q/q**(-2/7))/(q/q**9*q))**(-4/31)/((q/q**(2/7)*q/((q**(-3)/q)/q))/(q**2)**(7/8)) assuming q is positive.
q**(-5237/868)
Simplify (c**13*c*c/(c/(c**10*c))*c**(-6)/c*c*c/((c**4/c)/c*c))**(2/37) assuming c is positive.
c**(34/37)
Simplify (u/(u*u**9)*u**(-8)/u*u)**(-25/2)*(((u*u/(u**(-9)*u))/u)/u**(-1))**(-34) assuming u is positive.
u**(-255/2)
Simplify ((q/(q/(q*q**(-2)/q*q)*q))**(-7/5))**23*((q/q**0)**(-46))**(-37) assuming q is positive.
q**(8832/5)
Simplify (((v/v**(5/4))/v*v)/(((v**(-8)*v)/v)/v*v)*(v/(v*v*v/(v**13/v)))/((v**(-1/5)*v)/v))**(-20/9) assuming v is positive.
v**(-359/9)
Simplify ((b**(-1/3)/b)**24)**(2/15)*((b*(b/(b**0/b))/b*b)/b)**14/((b/b**2*b)/(b*((b/(b/(b*b**(-2/5))*b))/b)/b*b)) assuming b is positive.
b**(70/3)
Simplify (s/s**(-2/7))/(s**(-6/5)*s)*(((s**(-1)/s*s*s)/s)/s)**(-10)*(s/((s/s**(-2))/s)*s/(s*s*s*s*(s/(s/(s**(1/10)/s)))/s*s*s))**(2/73) assuming s is positive.
s**(54609/2555)
Simplify ((z**(-5))**(-13/4)*z**21*z*z/(z/(z**(-5)*z)*z)*z)**29 assuming z is positive.
z**(3973/4)
Simplify j**(22/9)*j**(23/2)*j*(j**13)**(1/28) assuming j is positive.
j**(3883/252)
Simplify f*((f/(f/f**(24/5))*f)/f)/f*f*f**(-2/143)*f*f**(3/19)/(f*(f*f*f**(-1/4)*f)/f) assuming f is positive.
f**(227897/54340)
Simplify ((l**(-1/4)/l**(-1/2)*(l**(-1)/l*l)/(l*l/(l/(l*l**(-6))*l*l)*l))**(-18))**(-45) assuming l is positive.
l**(6885/2)
Simplify (z*z*z**5*z**(-1))**29/((z**(-1/4))**(-15/4)/((z/z**(-3/7))/z**(2/7))) assuming z is positive.
z**(19511/112)
Simplify ((y*y**(2/9))/y*y/y**(2/17)*y**7/(y**2*y))**11 assuming y is positive.
y**(8591/153)
Simplify ((n/n**7)/(n/(n**(-1)*n)))**(-35)*(n**(-2/17)/((n*n/n**0)/n))/(n**(-4/7)*n*n*((n**0*n)/n)/n*n) assuming n is positive.
n**(28852/119)
Simplify ((n**(-2)/n)/n**5)**(-39/4)/(n**(-6)*(n**(2/19)/n)/n*n)**(-7/3) assuming n is positive.
n**(3529/57)
Simplify (((m**8*m**2)**(-6))**13)**(-1/14) assuming m is positive.
m**(390/7)
Simplify ((v*v**(-2/13)*v)**44*(v**(-4))**(6/11))**(-23/2) assuming v is positive.
v**(-129996/143)
Simplify (p/(p/(p*(p*p/p**(-1/4))/p))*p*(p/(p/p**(-5))*p)/p*p*((p**2*p)/p)**(2/13))/((p**2)**18)**50 assuming p is positive.
p**(-93623/52)
Simplify (((f/f**27)/f**38)/(f*f**33*f**(-4/15)))**(-22) assuming f is positive.
f**(32252/15)
Simplify (((s**(1/8)*s)/s*s*s**(4/5))/((s* | {
"pile_set_name": "DM Mathematics"
} |
2052998577 a prime number?
False
Is 9874445149 a prime number?
False
Is 6821754521 a composite number?
False
Is 20410331 prime?
True
Is 2056545329 composite?
False
Is 2122939081 a prime number?
False
Is 9259667 a composite number?
False
Is 30765611 a prime number?
False
Is 11267192957 prime?
False
Is 1384998967 a composite number?
True
Is 281868690707 a prime number?
True
Is 8296110839 composite?
False
Is 667461605 a prime number?
False
Is 15268492003 a composite number?
True
Is 8058254023 a prime number?
True
Is 2786412749 a composite number?
True
Is 89368211 a composite number?
True
Is 44916848123 composite?
True
Is 458920271 a prime number?
False
Is 22165614161 prime?
False
Is 94958799413 prime?
True
Is 223666410053 a prime number?
False
Is 888119179 a prime number?
True
Is 14943940273 prime?
True
Is 6799703227 a prime number?
False
Is 1293526147 composite?
False
Is 5458206151 prime?
False
Is 517547683 a prime number?
False
Is 1781571583 a prime number?
False
Is 16071316699 a composite number?
True
Is 10429710563 composite?
False
Is 1438730047 a composite number?
True
Is 7525653917 a composite number?
True
Is 68316959 composite?
False
Is 1208948407 a prime number?
True
Is 19508979943 a prime number?
False
Is 26547247 a composite number?
False
Is 21759627653 a composite number?
False
Is 4822319009 composite?
False
Is 3835465741 composite?
False
Is 4994701889 prime?
False
Is 17055205199 a composite number?
False
Is 23180305413 composite?
True
Is 16713218735 composite?
True
Is 2520148067 prime?
True
Is 609138503 a composite number?
True
Is 1387693231 composite?
False
Is 9073746049 a prime number?
True
Is 21843789689 a prime number?
False
Is 21114568181 composite?
True
Is 26671103023 a prime number?
True
Is 2186965499 composite?
False
Is 6019306073 a prime number?
False
Is 672539969 prime?
True
Is 5421023347 composite?
True
Is 9971021 a prime number?
False
Is 157223699 a composite number?
True
Is 838669427 a composite number?
True
Is 847524859 prime?
True
Is 7527780083 a prime number?
True
Is 261418459 composite?
False
Is 385447491029 composite?
False
Is 7153576609 prime?
True
Is 246360743 a composite number?
True
Is 1465335719 composite?
False
Is 2290684751 a prime number?
False
Is 401140505 a prime number?
False
Is 201311835533 composite?
True
Is 37668182851 a prime number?
False
Is 99313082069 a prime number?
False
Is 58954905667 prime?
False
Is 10672780957 prime?
False
Is 4902253813 a prime number?
False
Is 5587570797 prime?
False
Is 5355163459 a prime number?
True
Is 16578093113 a prime number?
True
Is 156398905181 prime?
True
Is 632817151 a composite number?
True
Is 2160983119 composite?
True
Is 14112191 a composite number?
False
Is 572881867 prime?
False
Is 29319950161 a prime number?
False
Is 1528554679 composite?
False
Is 44627323417 a prime number?
False
Is 265973263 prime?
True
Is 2570882257 a composite number?
False
Is 7939339691 a composite number?
True
Is 344331683 a prime number?
True
Is 17372556743 composite?
False
Is 2084119673 composite?
True
Is 2599301303 a prime number?
True
Is 12888339719 prime?
False
Is 2692759507 composite?
False
Is 111440925814 a composite number?
True
Is 2718190297 a prime number?
False
Is 15213857341 a prime number?
True
Is 305798029 prime?
False
Is 8855445181 composite?
True
Is 46152400867 composite?
False
Is 3230866351 a composite number?
True
Is 25510650037 a composite number?
False
Is 2833518319 prime?
False
Is 21311551589 prime?
False
Is 3308170829 a prime number?
False
Is 54445117397 prime?
False
Is 2120614271 composite?
False
Is 39050931119 composite?
False
Is 1075194821 composite?
False
Is 615407953 composite?
False
Is 2565906809 a composite number?
True
Is 11827577329 composite?
True
Is 8439305179 a prime number?
True
Is 1434276203 a prime number?
True
Is 22359105941 a composite number?
False
Is 1127474869 prime?
False
Is 140588839 a composite number?
True
Is 17758954843 composite?
True
Is 15647992723 a prime number?
False
Is 3879238243 a composite number?
True
Is 79170673 a composite number?
False
Is 545399291 composite?
False
Is 9898125547 composite?
False
Is 757719407 composite?
True
Is 28430944303 a prime number?
True
Is 394027531 a prime number?
True
Is 1871199089 a prime number?
True
Is 2001812299 composite?
False
Is 2387816183 composite?
False
Is 8786159462 composite?
True
Is 35879465443 a prime number?
True
Is 784184187 prime?
False
Is 92042367 a prime number?
False
Is 998863709 prime?
True
Is 68835161993 composite?
True
Is 4346330873 a composite number?
False
Is 1322720111 a prime number?
True
Is 89920905089 composite?
True
Is 133035478489 prime?
True
Is 912407703 composite?
True
Is 192916207241 a composite number?
False
Is 5596924037 prime?
True
Is 122864267 prime?
False
Is 13924633483 composite?
True
Is 865352591 composite?
False
Is 6441172765 a composite number?
True
Is 1751010029 prime?
False
Is 292428826 a composite number?
True
Is 2131876546 composite?
True
Is 127996177 prime?
True
Is 21466821029 prime?
True
Is 231425309 prime?
True
Is 74608304117 a prime number?
True
Is 2926596953 a composite number?
True
Is 1754358899 prime?
False
Is 30713092561 a prime number?
True
Is 80148823 a composite number?
False
Is 16955401327 composite?
True
Is 53870019103 prime?
False
Is 394458341 prime?
True
Is 2510036581 a prime number?
False
Is 41855643329 a prime number?
True
Is 600628859 a composite number?
True
Is 217026323 composite?
False
Is 2938151651 a composite number?
True
Is 1788283901 a composite number?
False
Is 684957621859 composite?
True
Is 1825007069 composite?
True
Is 323766869 composite?
True
Is 44830837 a prime number?
False
Is 95747485219 prime?
True
Is 3688916477 prime?
False
Is 27058098479 a composite number?
False
Is 5726485351 a prime number?
False
Is 29706689 composite?
False
Is 753280169 composite?
True
Is 871781231 composite?
False
Is 5661038519 composite?
False
Is 5405168933 a prime number?
True
Is 25465705667 prime?
True
Is 9195640559 a composite number?
True
Is 1379537903 composite?
True
Is 219705743 composite?
False
Is 138283195253 prime?
False
Is 1022257979 composite?
False
Is 68000318521 a composite number?
False
Is 157952761 composite?
False
Is 10181332171 composite?
True
Is 268606391 prime?
False
Is 356579189 composite?
True
Is 29434631 prime?
False
Is 253503531287 composite?
False
Is 2656673777 composite?
False
Is 13485391099 prime?
False
Is 8578505293 a prime number?
False
Is 9140970593 a composite number?
False
Is 28633478557 a prime number?
False
Is 59047783 composite?
True
Is 1921928551 composite?
False
Is 15619905659 prime?
False
Is 2183936791 a prime number?
False
Is 27287025949 a composite number?
False
Is 243476063 composite?
True
Is 193249339 a prime number?
True
Is 1198149149 a prime number?
False
Is 41212673 prime?
True
Is 12975145817 prime?
False
Is 139420065947 prime?
True
Is 61202295001 composite?
True
Is 2792649863 prime?
False
Is 1345628919 a prime number?
False
Is 104815919965 composite?
True
Is 915616099 prime?
False
Is 22735630457 composite?
False
Is 170846329 a composite number?
True
Is 2162619847 a composite number?
True
Is 63215202901 prime?
True
Is 7949973643 a composite number?
False
Is 2729014333 composite?
False
Is 2120648735 prime?
False
Is 181352173 a prime number?
False
Is 24430823 composite?
True
Is 27601272329 prime?
False
Is 8772229547 prime?
True
Is 54905183873 a prime number?
True
Is 1295377519 a prime number?
False
Is 1748193 composite?
True
Is 7111346807 a prime number?
True
Is 3269162971 prime?
False
Is 2967021571 a composite number?
True
Is 5016845342 composite?
True
Is 74752261 a composite number?
True
Is 1662145477 a composite number?
False
Is 1658681327 prime?
True
Is 19630659161 composite?
False
Is 3739578251 prime?
False
Is 68996969 prime?
True
Is 21405236959 a prime number?
True
Is 40334363 a composite number?
True
Is 22273163942 prime?
False
Is 19556050841 a prime number?
True
Is 11440181257 prime?
False
Is 3786504451 a prime number?
False
Is 701392009 a prime number?
True
Is 3007336223 prime?
True
Is 2750993263 composite?
False
Is 16640910511 a composite number?
True
Is 179008579 a prime number?
True
Is 16187457653 composite?
False
Is 58794817427 a prime number?
True
Is 129930119633 composite?
True
Is 2687239387 | {
"pile_set_name": "DM Mathematics"
} |
9. Suppose -3*x + 2435 = -d. Is x prime?
False
Let q(h) = -h**2 + 6*h + 3. Let z be q(7). Let t be 2/z - 105/(-10). Let b(j) = 3*j**2 + j - 11. Is b(t) prime?
False
Let d = -13 - -17. Suppose 0 = -d*z + 15 - 3. Suppose 0 = -5*i - r - z*r + 1009, i - 205 = -4*r. Is i composite?
True
Suppose -5*r = -5*g + 16273 + 5812, g = -2*r + 4429. Is g a prime number?
True
Let f(m) = 402*m + 515. Is f(27) prime?
True
Is (-140)/(-105)*(-30399)/(-4) prime?
True
Suppose 4*n - 6610 = 2*r - 0*r, -8260 = -5*n + 3*r. Suppose 2*u - 7*u + n = 0. Is u a prime number?
True
Let s(d) = -4*d**3 - 2*d**2 - d. Let z be s(-1). Let c(f) = 704*f - 1. Is c(z) a composite number?
False
Let q(f) = 220*f + 43*f + 3 + 83*f + 28*f. Is q(2) prime?
True
Suppose 13*r = 29*r - 320464. Is r composite?
False
Let d = -10 - -13. Suppose -d*g + 1631 = -7750. Is g prime?
False
Suppose 0 = -31*j + 26*j. Suppose j = -15*i + 10*i. Suppose -4*n + 11*n - 2471 = i. Is n composite?
False
Let j(w) = 2*w - 12. Let s be j(7). Is (-33)/(-1) - 4/s a composite number?
False
Let y(j) = -3*j**3 + 3*j**2 - 5*j + 3. Let u be y(1). Suppose 5 = 5*m - 5*w - 0*w, 4*m = -2*w - 14. Is ((-19)/u)/(m/(-4)) composite?
False
Let t be -2 - (3 + (-2 - -2)). Let c be (-3 - 0)*t/(-3). Is (3/c)/(2/(-20)) a prime number?
False
Let y be 0/(-4 - (-28)/4). Suppose -127 = -m - y*m. Is m composite?
False
Suppose 4*i - q = i + 497, -4*i + 2*q = -666. Let l = -7 + i. Is l prime?
True
Let t(z) = 2772*z**2 + 12*z + 13. Is t(-1) a composite number?
True
Let p = 28021 + -9234. Is p composite?
False
Let k(y) = -4*y**2 - 9*y - 3. Let x(g) = 8*g**2 + 17*g + 7. Let r(s) = -5*k(s) - 2*x(s). Is r(22) prime?
True
Suppose 5*q - i + 5134 - 18240 = 0, -3*q = i - 7862. Is q prime?
True
Let l(h) = -3*h**2 + 4*h - 5. Let f be l(3). Let u(x) = x**3 + 30*x**2 + 23*x + 3. Is u(f) prime?
False
Suppose -2*l - l = -2*n - 28, 5*n - 3*l = -52. Is 18708/n*(3 - (-33)/(-9)) a composite number?
False
Let r(v) be the first derivative of v**5/20 - 5*v**4/6 - 5*v**2 - 3*v + 5. Let b(o) be the first derivative of r(o). Is b(11) a composite number?
True
Suppose -5*q - 29 + 4 = 0. Let f(y) = y**3 + 5*y**2 + y - 4. Let t be f(q). Let k = t + 106. Is k a prime number?
True
Let f(o) = -o**2 - o - 7. Let g be f(0). Let j(q) = q**2 + 7*q. Let p be j(g). Suppose -4*k + p*k + 764 = 0. Is k composite?
False
Let d = 47 + -48. Let v(y) = 329*y + 5. Let b(c) = -1316*c - 21. Let x(j) = -5*b(j) - 21*v(j). Is x(d) a composite number?
True
Suppose 9*n = 5*n + 5340. Let r = -626 + n. Let y = 1098 - r. Is y a composite number?
False
Let v(n) = 267*n**3 + 2*n**2 + 16*n - 38. Is v(2) a composite number?
True
Suppose 657 = -3*g - 5*f, -3*g - 892 + 253 = -f. Suppose 0*m + 592 = -4*i - m, -i = -4*m + 165. Let k = i - g. Is k a composite number?
True
Suppose -4*n = 5*d - 93549, -6*d + 2*d + 74864 = -3*n. Is d composite?
False
Let n(l) = l**2 - 1. Let b(x) = -8*x**2 - 5*x - 34. Let p(t) = -b(t) + n(t). Is p(-14) prime?
False
Suppose -3*z = -2*q - 7847 + 1290, 4*q - 4398 = -2*z. Is z composite?
True
Let f = -38 - -43. Suppose -g + 431 = 3*w, 2*w - 3*w - 2107 = -f*g. Is g composite?
True
Let y = -9527 + 26958. Is y prime?
True
Suppose -4*x = -4*p + 8, 0 = -4*p - 0*x + 2*x. Let q(o) = -54*o**3 + 5*o**2 + 4*o + 5. Is q(p) composite?
False
Let b(r) = -r**2 - 14*r - 12. Let o be b(-12). Let n(q) = 17*q - 13. Is n(o) prime?
True
Let b = 2682 + -1363. Suppose b = -46*j + 47*j. Is j a composite number?
False
Suppose -3*g + 1097 + 76 = 0. Let y = 1511 + g. Is y/15 + 2/10 composite?
False
Let g = -2066 - -5688. Suppose 0 = 10*o - 8*o - g. Is o a prime number?
True
Let r = 43 + -43. Is ((-4990)/(-1) - r/(-3)) + -3 a composite number?
False
Let a(n) be the second derivative of -6*n**3 + 5*n**2/2 - 5*n. Let v = 4 + -10. Is a(v) a composite number?
True
Suppose 0 = 9*s - 7856 - 19243. Is s a composite number?
False
Let t = 2 + 13. Let a be (-5)/t + 7/3. Suppose a*z = 6*z - 364. Is z a composite number?
True
Let v be (0 + 6)/(2 - 3). Let t = v + 24. Is 5/2*(-4 + t) a prime number?
False
Let r(t) = t**3 - 22*t**2 + 21*t - 12. Let y be r(21). Is (1304/y)/((-4)/6) prime?
True
Let w = 10 - 18. Let l be ((-6)/(-8))/((-2)/w). Suppose 2*d - h = 4*d - 295, l*d + 2*h - 441 = 0. Is d prime?
True
Suppose -4*m = -8, -5*k - 5*m - 2878 = -14553. Is k composite?
False
Let d(m) = -m**3 + 19*m**2 - 13*m + 68. Is d(18) a prime number?
False
Let i(u) be the second derivative of -23*u**5/20 + u**4/6 - 2*u**3/3 - u**2/2 - 9*u. Let l be i(-3). Is l/4 + 12/(-8) a prime number?
False
Let v = 102585 + -56592. Is v prime?
False
Let m(n) be the first derivative of -26*n**2 + 7*n - 28. Is m(-11) a composite number?
True
Let r(j) = j**3 + 3*j**2 - 12*j - 7. Let q be r(-5). Let f be (3 - 8/12)*q. Suppose -27 + 398 = f*w. Is w a prime number?
True
Suppose -3*j + 240 = 15. Let p = j - -120. Let a = 14 + p. Is a prime?
False
Let w(j) = -j**2 - 10*j + 21. Let g be w(-11). Is ((-10)/g)/(2/(-762)) composite?
True
Let a(d) = -9*d - 4. Let m be a(-7). Let q(g) = 4*g**2 + 14*g - 13. Let u be q(-6). Let s = m + u. Is s prime?
False
Suppose -268 = 4*l + 1852. Let v = 1696 + -943. Let z = l + v. Is z a composite number?
False
Suppose 5*v = -3*a + 8*a - 15, -9 = v - 3*a. Suppose 0 = 4*p + 5*k - 600, v*p + 3*k - 737 = -5*p. Is p prime?
False
Let n(a) be the first derivative of 7*a**2 + 13*a - 13. Is n(17) a prime number?
True
Suppose 37 = 10*p - 73. Suppose p*a - 6322 - 619 = 0. Is a a prime number?
True
Let d(w) = w**2 + 3*w + 4. Let r be d(-3). Let z = r - 2. Suppose -4*x - 307 = 4*k - 967, -z*x + 819 = 5*k. Is k a prime number?
True
Let b be (-641)/(-9) + 10/(-45). Suppose 0 = -2*i - 151 - b. Is -2 + 2 - (i - 0) a composite number?
True
Suppose -2*r + 6308 = -25794. Is r composite?
True
Let c(k) = -3*k - 3. Let r be c(-2). Suppose 0*p - r = p. Is 21/p*(-58)/2 a prime number?
False
Suppose -3*t = 5*z - 7*z + 27920, -5*z - 4*t = -69823. Is z a prime number?
True
Let z = 59 - 118. Let l = z + 282. Is l prime?
True
Suppose 2*a - 4*x + 19 = -a, -25 = 5*a - 5*x. Let j be 0*a*2/(-4). Suppose -v + g + 187 = 0, -2*g - 565 = -3*v - j*g. Is v composite?
False
Suppose -o + 4085 = t - 0*o, -o = -5*t + 20455. Let g = t - 2199. Is g prime?
False
Let m be 117/13 + -1*4. Suppose 2*q = p - 2*q - 598, -5*p = -m*q - 2945. Is p a composite number?
True
Let v(w) = -35*w**3 + 40*w**2 + 23*w + 7. Is v(-7) a prime number?
False
Let m(t) = t**2 - 2*t - 6. Let q be m(0). Let h(y) = -y - 11. Let u be h(q). Is 1082/(-2)*(u - -4) composite?
False
Let t = 2380 - 1166. Let q = t - 627. Is q a composite number?
False
Suppose 0 = -5*r - 4*g - 10, -3*g + 20 = g. Let k be (2536/r)/(2/(-3)). Suppose -4*q + 1594 = -k. Is q a prime number?
True
Let b(i) = -i**3 + 15*i**2 + 5*i - 8. Let t be b(10). Suppose -3*y = -3*a + y + t, -5*y = 5*a - 845. Let z = 145 + a. Is z prime?
False
Suppose 3*i - 11*i = -1072. Let l = -88 + i. Is l prime?
False
Suppose -11*u + 19742 + 24049 = 0. Is u a composite number?
True
Suppose -5*h - 3307 = -4*v + 17922, 2*v = 2*h + 10616. Is v a composite number?
True
Let x = 686 - 95. Is x composite?
True
Let a = -109 - -224. Suppose -2421 = -9*q + 873. Let p = q - a. Is p a prime number?
True
Let l(p) = p**2 + 2*p + 159. Is l(26) prime?
True
Let f(i) = i**2 + 3*i - 25. Let d be f(4). Suppose 0 = 3*v + t - 989, 4*v - 5*t - 1332 = -d*t. Is v a prime number?
True
Suppose -2634 = -3*s - 2*m - m, -4*m = -5*s + 4381. Is s prime?
True
Let r(u) = -14*u**2 + 2*u**3 - 3*u**3 - 3 + 6 + 24*u. Suppose 2*f + 40 = -3*y, 4*y + 51 = f - 17. Is r(y) a composite number?
False
Let i(p) = 11*p**2 + 41*p + 13. Is i(42) composite?
False
Suppose 0 = -3*c - m - 153, -c + 0*m = 3*m + 59. Let v be c/8 + (-1)/(-4). Let x = v + 20. Is x composite?
True
Suppose 2*j - 632 = -2*j. Suppose u - 2*u = -j. Is u composite?
True
Is 1/(-4) + (-3 - (-80703)/28) composite?
False
Let x(k) = 140*k**2 - 53*k - 241. Is x(-8) a composite number?
True
Let v(m) = -2*m**3 - 3*m**2 + 8*m - 2. Suppose 15*a + a + 144 = 0. Is v(a) a prime number?
False
Suppose x + 18896 = 2*j, 4*j + 14898 = -x + 52696. Is j a composite number?
True
Let d(j) = -j**2 + 10*j - 4. Let f be d(9). Suppose -13 - 2 = f*h, -5*h = -2*k + 517. Is k composite?
False
Let y(j) = 7*j**2 + 72*j - 20. Is y(-23) a prime number?
True
Suppose 3*y | {
"pile_set_name": "DM Mathematics"
} |
249, -1093272, -1093295?
-1093318
What comes next: -29042, -29958, -30874?
-31790
What comes next: -23353740, -23353738, -23353734, -23353728, -23353720, -23353710, -23353698?
-23353684
What is the next term in -428389214, -856778427, -1285167640?
-1713556853
What is next in -6569754, -6569765, -6569776, -6569787, -6569798, -6569809?
-6569820
What is the next term in 370617, 1482469, 3335555, 5929875, 9265429, 13342217?
18160239
What is next in -2473868, -2473881, -2473912, -2473973, -2474076, -2474233, -2474456?
-2474757
What comes next: -387084, -774318, -1161552?
-1548786
What is the next term in -76748065, -153496127, -230244189?
-306992251
What comes next: 551880, 1104527, 1657174, 2209821?
2762468
What is the next term in -2478306, -4956635, -7434978, -9913341, -12391730, -14870151, -17348610, -19827113?
-22305666
What is next in -63551, -63636, -63775, -63968, -64215, -64516, -64871?
-65280
What is the next term in -1097, -4538, -10293, -18362, -28745, -41442?
-56453
What comes next: -1178, -4355, -9542, -16745, -25970, -37223, -50510, -65837?
-83210
What is next in 136806, 136864, 137030, 137358, 137902?
138716
What is the next term in 5320, 21175, 47558, 84469?
131908
What comes next: 15526, 15420, 15314, 15208?
15102
What is the next term in 2442849, 2442927, 2443057, 2443239, 2443473, 2443759, 2444097?
2444487
What is the next term in 22811789, 22811728, 22811667, 22811606, 22811545?
22811484
What is next in -76616, -306003, -688150, -1223057, -1910724?
-2751151
What comes next: -252892, -505802, -758698, -1011574, -1264424, -1517242, -1770022, -2022758?
-2275444
What is next in -37, 599, 2553, 6485, 13055, 22923?
36749
What is next in -1626783, -1626792, -1626801, -1626810?
-1626819
What is next in -4928, -9841, -14754, -19667, -24580?
-29493
What is next in -83037, -332155, -747347, -1328607, -2075929, -2989307, -4068735?
-5314207
What comes next: -598426, -1196793, -1795160?
-2393527
What is the next term in 24977, 24946, 24909, 24878, 24865, 24882, 24941?
25054
What is the next term in 593542, 1187121, 1780702, 2374285?
2967870
What is the next term in -244581, -244599, -244617, -244635?
-244653
What is next in -73238, -73205, -73160, -73097, -73010?
-72893
What is next in 456071, 1824235, 4104507, 7296887, 11401375?
16417971
What is the next term in -1529, -3567, -6131, -9215, -12813?
-16919
What is the next term in -6401, -9153, -13741, -20165, -28425, -38521, -50453?
-64221
What is next in 430, 795, 1398, 2245, 3342, 4695?
6310
What is next in -1214250, -2428497, -3642744, -4856991, -6071238, -7285485?
-8499732
What is next in -49042, -196205, -441474, -784849?
-1226330
What is next in 733616, 2936308, 6607460, 11747072, 18355144?
26431676
What comes next: -1281, -2582, -3883, -5184, -6485, -7786?
-9087
What is the next term in -244431, -488862, -733305, -977760, -1222227?
-1466706
What comes next: -87630, -174956, -262284, -349614?
-436946
What comes next: -39168141, -39168139, -39168137, -39168135, -39168133, -39168131?
-39168129
What is the next term in 226705, 453449, 680233, 907057, 1133921, 1360825?
1587769
What is next in -602, -466, -148, 442, 1394?
2798
What is next in 123318166, 123318165, 123318164, 123318163, 123318162, 123318161?
123318160
What is next in -7673, -30757, -69419, -123827, -194149, -280553?
-383207
What is next in -62625154, -62625157, -62625160?
-62625163
What comes next: 3187901, 3187838, 3187775, 3187712, 3187649, 3187586?
3187523
What is the next term in 58335, 116056, 173777, 231498, 289219, 346940?
404661
What is next in 1422047, 5688164, 12798367, 22752656, 35551031?
51193492
What comes next: 4200, 16905, 38084, 67743, 105888, 152525, 207660, 271299?
343448
What is next in 8546150, 8546109, 8546066, 8546021, 8545974, 8545925, 8545874?
8545821
What comes next: 112207035, 224414068, 336621103, 448828140?
561035179
What comes next: -1039, -5493, -13349, -24595, -39219?
-57209
What is the next term in -7128, -14222, -21278, -28296, -35276, -42218?
-49122
What comes next: 3614, 7055, 10326, 13427, 16358, 19119, 21710?
24131
What is the next term in 52603, 105109, 157621, 210145, 262687?
315253
What is the next term in 19370417, 19370425, 19370423, 19370405, 19370365, 19370297?
19370195
What comes next: -1474, -11743, -39582, -93775, -183106?
-316359
What is the next term in 11330, 45445, 102350, 182045, 284530, 409805, 557870?
728725
What is next in -20495, -40913, -61329, -81743, -102155, -122565?
-142973
What is the next term in 284994642, 284994641, 284994640, 284994639, 284994638, 284994637?
284994636
What is the next term in -2693, -21437, -72257, -171191, -334277, -577553, -917057, -1368827?
-1948901
What is next in 33898, 67919, 101978, 136093, 170282?
204563
What is the next term in -4008, -7517, -11028, -14541, -18056, -21573, -25092?
-28613
What is the next term in 159324, 159311, 159298, 159285, 159272?
159259
What is next in 60338, 120931, 181524?
242117
What is next in 12454, 22215, 32008, 41827, 51666, 61519, 71380?
81243
What comes next: -13228, -106944, -361318, -856678, -1673352?
-2891668
What is next in -1536227, -3072554, -4608881, -6145208?
-7681535
What comes next: -6196, -24442, -54738, -97084, -151480?
-217926
What is next in -5456, -43501, -146776, -347915, -679552, -1174321, -1864856, -2783791?
-3963760
What comes next: -37454, -75342, -113214, -151070, -188910, -226734, -264542?
-302334
What is the next term in -3546, -3975, -4406, -4839?
-5274
What is the next term in 1477967, 1477965, 1477963, 1477961, 1477959, 1477957?
1477955
What comes next: 5846237, 5846238, 5846239, 5846240?
5846241
What comes next: 2708245, 2708263, 2708281, 2708299, 2708317?
2708335
What is next in -14020, -112268, -378908, -898126, -1754108, -3031040, -4813108, -7184498?
-10229396
What comes next: 1193, 3383, 7005, 12059, 18545?
26463
What is next in -246272, -985008, -2216212, -3939884, -6156024?
-8864632
What comes next: -10282, -20736, -31370, -42184, -53178, -64352?
-75706
What is the next term in 15362, 47024, 99794, 173672, 268658, 384752?
521954
What comes next: -257, 322, 1905, 4996, 10099, 17718, 28357?
42520
What comes next: 4084080, 4084064, 4084048?
4084032
What comes next: 31796, 29809, 27832, 25871, 23932, 22021, 20144?
18307
What comes next: 1978, 2267, 886, -2165, -6886, -13277?
-21338
What comes next: 349917, 699951, 1049987, 1400025, 1750065?
2100107
What comes next: 4315, -9021, -22357, -35693, -49029, -62365?
-75701
What is the next term in -9213, -74485, -251655, -596673, -1165489, -2014053?
-3198315
What is next in 208431, 416904, 625377?
833850
What comes next: 1416, 2590, 3306, 3336, 2452, 426, -2970, -7964?
-14784
What is the next term in 345925, 346099, 346375, 346747, 347209?
347755
What comes next: 11496, 46001, 103504, 184005, 287504, 414001, 563496?
735989
What is the next term in -1577801, -1577843, -1577911, -1578011, -1578149, -1578331, -1578563?
-1578851
What is the next term in -33547270, -67094444, -100641616, -134188786, -167735954, -201283120, -234830284?
-268377446
What is the next term in -2545023, -2545014, -2545005, -2544996, -2544987?
-2544978
What is next in -3545465, -7090925, -10636383, -14181839, -17727293, -21272745?
-24818195
What comes next: -1151, -1267, -1329, -1301, -1147, -831, -317, 431?
1449
What is the next term in -456, -1212, -2270, -3630, -5292, -7256?
-9522
What is next in -1714905, -3429823, -5144741, -6859659?
-8574577
What is next in -81, -179, -45, 561, 1879?
4149
What is the next term in 65636, 135087, 204540, 273995, 343452, 412911?
482372
What comes next: -236998, -948037, -2133092, -3792163, -5925250, -8532353, -11613472?
-15168607
What comes next: 1030, 960, 842, 676, 462?
200
What is next in 4735, 19446, 44161, 78892, 123651, 178450, 243301?
318216
What is the next term in 42580834, 85161673, 127742512, 170323351, 212904190, 255485029?
298065868
What is the next term in 325, 80, -319, -872?
-1579
What is the next term in -32325, -128727, -289377, -514269, -803397, -1156755, -1574337, -2056137?
-2602149
What is the next term in 1163, -2672, -6507, -10342?
-14177
What comes next: -67335, -67350, -67365, -67380, -67395?
-67410
What is the next term in 257, 37, -263, -595, -911, -1163, -1303?
-1283
What comes next: -986549, | {
"pile_set_name": "DM Mathematics"
} |
he ten thousands digit of 622296?
2
What is the hundred thousands digit of 9441705?
4
What is the thousands digit of 7495392?
5
What is the hundred thousands digit of 301241?
3
What is the tens digit of 1722167?
6
What is the hundreds digit of 332132?
1
What is the units digit of 1792?
2
What is the hundred thousands digit of 11733504?
7
What is the hundred thousands digit of 2094509?
0
What is the thousands digit of 227501?
7
What is the tens digit of 5000699?
9
What is the hundreds digit of 5293483?
4
What is the ten thousands digit of 1210108?
1
What is the tens digit of 203997?
9
What is the hundreds digit of 3772289?
2
What is the ten thousands digit of 1068147?
6
What is the units digit of 6352465?
5
What is the tens digit of 5029741?
4
What is the millions digit of 5679757?
5
What is the ten thousands digit of 528602?
2
What is the ten thousands digit of 31432994?
3
What is the thousands digit of 442182?
2
What is the thousands digit of 3326491?
6
What is the tens digit of 2256907?
0
What is the hundred thousands digit of 613254?
6
What is the ten thousands digit of 541541?
4
What is the hundred thousands digit of 602040?
6
What is the tens digit of 3045711?
1
What is the hundreds digit of 162089?
0
What is the hundred thousands digit of 1899739?
8
What is the units digit of 161813?
3
What is the ten thousands digit of 12385861?
8
What is the units digit of 455821?
1
What is the hundreds digit of 1146919?
9
What is the hundreds digit of 1654028?
0
What is the hundred thousands digit of 7111957?
1
What is the millions digit of 2825887?
2
What is the hundreds digit of 53092?
0
What is the hundreds digit of 5386364?
3
What is the hundred thousands digit of 534204?
5
What is the ten thousands digit of 17303?
1
What is the ten thousands digit of 135910?
3
What is the units digit of 185879?
9
What is the tens digit of 11709013?
1
What is the thousands digit of 24847137?
7
What is the ten thousands digit of 978837?
7
What is the thousands digit of 614588?
4
What is the tens digit of 232672?
7
What is the units digit of 613263?
3
What is the thousands digit of 16628242?
8
What is the hundred thousands digit of 534017?
5
What is the hundred thousands digit of 5211835?
2
What is the hundreds digit of 841523?
5
What is the hundred thousands digit of 25822518?
8
What is the hundred thousands digit of 356305?
3
What is the units digit of 895609?
9
What is the tens digit of 52959?
5
What is the hundreds digit of 514355?
3
What is the hundred thousands digit of 396534?
3
What is the millions digit of 23728537?
3
What is the ten thousands digit of 80466?
8
What is the ten thousands digit of 5282190?
8
What is the ten thousands digit of 1812228?
1
What is the hundreds digit of 519796?
7
What is the tens digit of 3084857?
5
What is the hundreds digit of 265512?
5
What is the thousands digit of 4104639?
4
What is the ten thousands digit of 1866367?
6
What is the units digit of 211602?
2
What is the thousands digit of 184408?
4
What is the hundreds digit of 144106?
1
What is the ten thousands digit of 227533?
2
What is the thousands digit of 378621?
8
What is the thousands digit of 184353?
4
What is the hundreds digit of 3112392?
3
What is the tens digit of 406087?
8
What is the hundreds digit of 4822499?
4
What is the hundreds digit of 3246169?
1
What is the hundreds digit of 105976?
9
What is the tens digit of 132387?
8
What is the hundred thousands digit of 705614?
7
What is the units digit of 31953977?
7
What is the hundred thousands digit of 110621?
1
What is the tens digit of 61007?
0
What is the hundred thousands digit of 796081?
7
What is the hundreds digit of 26810?
8
What is the tens digit of 167765?
6
What is the thousands digit of 159872?
9
What is the hundreds digit of 539958?
9
What is the hundred thousands digit of 3680767?
6
What is the millions digit of 1891111?
1
What is the thousands digit of 2651?
2
What is the thousands digit of 474161?
4
What is the ten thousands digit of 1722112?
2
What is the units digit of 3539273?
3
What is the thousands digit of 83015?
3
What is the thousands digit of 12405512?
5
What is the tens digit of 15645233?
3
What is the tens digit of 238695?
9
What is the hundreds digit of 226028?
0
What is the ten thousands digit of 6315393?
1
What is the units digit of 2079197?
7
What is the ten thousands digit of 5160042?
6
What is the units digit of 16428103?
3
What is the tens digit of 9633426?
2
What is the hundred thousands digit of 123921?
1
What is the tens digit of 330029?
2
What is the tens digit of 406959?
5
What is the ten thousands digit of 38389501?
8
What is the tens digit of 290690?
9
What is the hundreds digit of 7262964?
9
What is the thousands digit of 180073?
0
What is the units digit of 1721525?
5
What is the ten thousands digit of 380832?
8
What is the units digit of 5179242?
2
What is the units digit of 1665506?
6
What is the tens digit of 1014676?
7
What is the ten millions digit of 12077291?
1
What is the units digit of 170566?
6
What is the units digit of 520293?
3
What is the hundred thousands digit of 5186057?
1
What is the units digit of 697826?
6
What is the ten thousands digit of 3646280?
4
What is the hundred thousands digit of 1734837?
7
What is the hundreds digit of 19097?
0
What is the ten thousands digit of 863908?
6
What is the thousands digit of 2345438?
5
What is the tens digit of 7265459?
5
What is the millions digit of 5670260?
5
What is the ten thousands digit of 21523958?
2
What is the units digit of 366583?
3
What is the thousands digit of 71192?
1
What is the ten thousands digit of 419551?
1
What is the ten thousands digit of 15679534?
7
What is the ten thousands digit of 534899?
3
What is the hundreds digit of 200571?
5
What is the hundreds digit of 14845330?
3
What is the tens digit of 2792506?
0
What is the hundreds digit of 9903474?
4
What is the ten thousands digit of 208977?
0
What is the tens digit of 8583724?
2
What is the thousands digit of 8556161?
6
What is the units digit of 396312?
2
What is the tens digit of 144729?
2
What is the units digit of 131823?
3
What is the hundreds digit of 524428?
4
What is the ten thousands digit of 323550?
2
What is the hundred thousands digit of 808695?
8
What is the tens digit of 8392989?
8
What is the hundred thousands digit of 1373126?
3
What is the tens digit of 240959?
5
What is the tens digit of 587949?
4
What is the thousands digit of 550065?
0
What is the ten thousands digit of 145011?
4
What is the hundred thousands digit of 4455935?
4
What is the units digit of 189651?
1
What is the thousands digit of 3451150?
1
What is the tens digit of 35436517?
1
What is the hundred thousands digit of 27047994?
0
What is the hundred thousands digit of 923787?
9
What is the units digit of 267413?
3
What is the tens digit of 472848?
4
What is the units digit of 629512?
2
What is the ten thousands digit of 5486243?
8
What is the ten thousands digit of 1041130?
4
What is the ten thousands digit of 3858513?
5
What is the thousands digit of 9921766?
1
What is the hundred thousands digit of 664484?
6
What is the tens digit of 6412732?
3
What is the hundreds digit of 903213?
2
What is the thousands digit of 158793?
8
What is the millions digit of 1740807?
1
What is the units digit of 990786?
6
What is the hundred thousands digit of 2979646?
9
What is the tens digit of 3004506?
0
What is the ten thousands digit of 3727949?
2
What is the hundred thousands digit of 1495781?
4
What is the hundred thousands digit of 500152?
5
What is the units digit of 504112?
2
What is the hundreds digit of 11955267?
2
What is the tens digit of 45194?
9
What is the ten thousands digit of 1579540?
7
What is the millions digit of 1189648?
1
What is the ten thousands digit of 9034033?
3
What is the hundred thousands digit of 485440?
4
What is the thousands digit of 61216?
1
What is the hundreds digit of 221681?
6
What is the ten thousands digit of 839339?
3
What is the millions digit of 8670193?
8
What is the hundreds digit of 97105?
1
What is the units digit of 51937?
7
What is the units digit of 984161?
1
What is the millions digit of 20503259?
0
What is the ten thousands digit of 2257009?
5
What is the units digit of 4826292?
2
What is the hundreds digit of 9 | {
"pile_set_name": "DM Mathematics"
} |
4) to base 12
-2bb
Convert 777 (base 10) to base 5.
11102
What is 4523 (base 8) in base 6?
15015
Convert 23473 (base 9) to base 12.
9103
What is -a874 (base 13) in base 11?
-16659
Convert -1143 (base 9) to base 6.
-3533
-13313 (base 6) to base 10
-2061
Convert 161 (base 13) to base 6.
1052
Convert 2455 (base 16) to base 10.
9301
22023001 (base 4) to base 2
1010001011000001
Convert -44132 (base 5) to base 8.
-5742
What is 1002301 (base 4) in base 14?
17b3
What is ee (base 16) in base 15?
10d
Convert -17246 (base 8) to base 16.
-1ea6
a44 (base 12) to base 6
10524
What is 3445 (base 6) in base 10?
821
1010011101 (base 2) to base 9
823
Convert -8022 (base 10) to base 8.
-17526
Convert -9801 (base 13) to base 4.
-11022012
Convert -111011 (base 4) to base 11.
-1017
Convert 11378 (base 9) to base 8.
16664
What is 239 (base 12) in base 4?
11031
-10001110100 (base 2) to base 12
-7b0
What is -1010110011 (base 2) in base 13?
-412
What is -340 (base 6) in base 7?
-246
What is 100112101 (base 3) in base 11?
5248
3518 (base 9) to base 16
a31
237 (base 8) to base 11
135
-10010001110001 (base 2) to base 9
-13715
What is -11146 (base 7) in base 6?
-21031
What is -42b (base 15) in base 13?
-575
What is -910 (base 12) in base 8?
-2434
b7c0 (base 14) to base 5
2003344
-1210322 (base 4) to base 6
-45522
What is 1077 (base 8) in base 11?
483
Convert 224023 (base 5) to base 4.
1331031
Convert -18c9 (base 16) to base 2.
-1100011001001
What is 110011010100110 (base 2) in base 9?
40037
19 (base 14) to base 9
25
Convert -11012330 (base 4) to base 6.
-240512
-103150 (base 7) to base 9
-26521
What is -1551 (base 8) in base 2?
-1101101001
Convert -131 (base 4) to base 6.
-45
What is 546 (base 13) in base 14?
487
What is 4113 (base 5) in base 4?
20111
Convert 1bb (base 15) to base 6.
1505
Convert -59b (base 15) to base 10.
-1271
What is -21823 (base 9) in base 15?
-4480
Convert 2537 (base 11) to base 6.
23151
What is 105724 (base 8) in base 6?
433420
Convert -5503 (base 9) to base 5.
-112203
What is 112302 (base 4) in base 11?
1106
1a9a0 (base 11) to base 8
70736
-7603 (base 8) to base 13
-1a66
627 (base 9) to base 4
13333
Convert 452 (base 6) to base 11.
150
21142 (base 6) to base 3
10221022
346 (base 7) to base 13
10c
What is 1259 (base 14) in base 11?
2463
10636 (base 7) to base 4
222202
Convert 100111001100 (base 2) to base 9.
3386
What is -206 (base 15) in base 10?
-456
Convert 431 (base 15) to base 2.
1110110010
-1887 (base 16) to base 5
-200104
Convert -225113 (base 7) to base 15.
-bd95
Convert 6408 (base 13) to base 2.
11011000101010
-200121122 (base 3) to base 15
-404b
-1404 (base 7) to base 16
-21f
What is -337 (base 14) in base 2?
-1001111101
Convert 2023 (base 6) to base 15.
1ec
What is -12060 (base 7) in base 11?
-2395
Convert 37ed (base 15) to base 11.
8a5a
What is -207114 (base 8) in base 14?
-1b308
Convert 2200101022 (base 3) to base 2.
1100111000011110
What is -291 (base 13) in base 9?
-556
Convert -329 (base 15) to base 7.
-2040
What is -64314 (base 8) in base 2?
-110100011001100
Convert -11213 (base 5) to base 15.
-38d
What is 133033 (base 4) in base 7?
5554
Convert 4000 (base 6) to base 11.
716
1ab (base 14) to base 13
209
What is -2775 (base 13) in base 3?
-21210010
Convert 240 (base 9) to base 5.
1243
10123302 (base 4) to base 6
220030
-123330 (base 4) to base 8
-3374
-8245 (base 16) to base 13
-12244
Convert 44171 (base 8) to base 10.
18553
-2880 (base 9) to base 8
-4202
821 (base 9) to base 6
3031
What is -18229 (base 10) in base 2?
-100011100110101
Convert -11010211 (base 3) to base 7.
-11542
What is -1b4 (base 14) in base 12?
-256
Convert 526 (base 15) to base 8.
2211
10000000000 (base 2) to base 6
4424
What is -164 (base 9) in base 4?
-2023
Convert -11 (base 7) to base 12.
-8
What is -120104 (base 6) in base 9?
-15244
What is -d4 (base 15) in base 8?
-307
What is -4115 (base 6) in base 15?
-40b
What is 2171 (base 9) in base 2?
11001000011
What is 2053 (base 7) in base 6?
3204
32672 (base 8) to base 6
143402
What is 101121 (base 4) in base 8?
2131
Convert -632 (base 9) to base 16.
-203
What is -201215 (base 8) in base 12?
-32379
Convert 1206 (base 11) to base 12.
ab7
What is -244 (base 14) in base 5?
-3302
Convert -1479 (base 12) to base 10.
-2397
Convert -773 (base 9) to base 3.
-212110
Convert -8353 (base 10) to base 12.
-4a01
10a9 (base 16) to base 12
2575
Convert 111 (base 10) to base 12.
93
What is -3196 (base 15) in base 4?
-2203323
50465 (base 8) to base 16
5135
Convert 13014 (base 5) to base 9.
1341
Convert -19368 (base 11) to base 8.
-64661
Convert 22081 (base 13) to base 12.
2b7b1
Convert 32b2 (base 16) to base 5.
403403
-20511 (base 7) to base 9
-6836
32034 (base 5) to base 11
167a
Convert 55b (base 15) to base 16.
4bb
-2200 (base 6) to base 8
-770
What is a280 (base 16) in base 4?
22022000
What is -1db (base 16) in base 6?
-2111
What is 18127 (base 9) in base 3?
122010221
What is -24531 (base 8) in base 4?
-2211121
10b77 (base 15) to base 16
cfdc
-2202 (base 5) to base 9
-365
Convert 2632 (base 9) to base 13.
b8a
Convert -c798 (base 14) to base 15.
-a309
-88a3 (base 16) to base 15
-a56e
Convert 64077 (base 8) to base 4.
12200333
Convert -56562 (base 7) to base 6.
-150240
Convert -12220220 (base 4) to base 6.
-325452
What is c48 (base 15) in base 4?
223100
What is -25254 (base 8) in base 16?
-2aac
Convert -e5 (base 16) to base 14.
-125
What is -1001010010 (base 2) in base 13?
-369
Convert -6833 (base 10) to base 2.
-1101010110001
Convert 1447 (base 12) to base 7.
6610
What is 233143 (base 5) in base 12?
4b44
14157 (base 12) to base 3
1102012211
-10123 (base 6) to base 9
-1756
What is -720 (base 10) in base 14?
-396
-1113123 (base 4) to base 13
-2715
5070 (base 14) to base 2
11010111111010
What is a9a (base 12) in base 15?
6dd
Convert 764 (base 9) to base 14.
329
What is 13222 (base 11) in base 12?
ab30
1241 (base 9) to base 10
928
What is 2b10 (base 12) in base 4?
1032330
Convert 11001110110 (base 2) to base 4.
121312
23132 (base 4) to base 15
33e
What is 1468 (base 9) in base 2?
10001011011
1638 (base 10) to base 8
3146
What is 20022 (base 3) in base 8?
252
Convert 125 (base 12) to base 9.
212
7063 (base 8) to base 5
104020
What is 11112122 (base 3) in base 5?
101221
What is 2d2 (base 14) in base 10?
576
373 (base 10) to base 5
2443
715 (base 9) to base 12
405
Convert -7654 (base 15) to base 13.
-b533
What is 3424 (base 9) in base 16?
9e5
What is -2111101121 (base 3) in base 8?
-137751
Convert 1571 (base 8) to base 10.
889
Convert 1220 (base 4) to base 15.
6e
Convert -29b1 (base 14) to base 3.
-101011100
What is -4303 (base 6) in base 14?
-4d9
What is 10211131 (base 4) in base 7?
105520
Convert 454211 (base 6) to base 9.
57757
What is 323434 (base 5) in base 14?
40a3
27514 (base 11) to base 9
58716
What is 2247 (base 9) in base 4?
121333
-273 (base 10) to base 3
-101010
-203101 (base 4) to base 7
-6403
2688 (base 11) to base 5
102414
-5667 (base 13) to base 12
-6bb0
Convert -1011000 (base 2) to base 5.
-323
56118 (base 9) to base 8
110635
-54011 (base 7) to base 14
-4c41
What is 570 (base 13) in base 2?
1110101000
200221111 (base 3) to base 2
11010111110010
What is -5588 (base 16) in base 7?
-120560
2d (base 15) to base 7
61
Convert -4042 (base 5) to base 2.
-1000001010
Convert -1422 (base 7) to base 4.
-20223
What is 143030 (base 6) in base 16?
353a
What is -22131 (base 4) in base 3?
-220210
Convert 5470 (base 8) to base 11.
2181
-1011001111101 (base 2) to base 12
-33b9
Convert -2c6 (base 14) to base 16.
-236
What is 346 (base 13) in base 5?
4230
What is 3132 (base 10) in base 11?
2398
Convert -860 (base 16) to base 7.
-6152
4845 (base 12) to base 7
32444
Convert 146 (base 9) to base 16.
7b
Convert -220 (base 5) to base 11.
-55
2022010010 (base 3) to base 14
12706
What is 10562 (base 7) in base 13?
12bc
Convert -6244 (base 7) to base 4.
-202030
What is 503 (base 12) in base 3?
222210
What is 4241 (base 5) in base 4?
20323
Convert 7a50 (base 13) to base 9.
25447
Convert 35124 (base 6) to base 14.
1b88
What is -100110010101 (base 2) in base 12?
-1505
Convert 5668 (base 14) to base 10.
14988
Convert 63345 (base 8) to base 3.
1100010121
177 (base 11) to base 6
541
-12212020 (base 3) to base 5
-114042
What is -852 (base 9) in base 14?
| {
"pile_set_name": "DM Mathematics"
} |
3 + j + k*o**2 + b*o**4 and give g.
4
Rearrange 17*z**3 - 109*z**2 + 2 + 86*z**2 - 19*z**3 to h*z**3 + s*z**2 + y + m*z and give y.
2
Rearrange -25 - 26 + 79 - 522*z - 28 to the form k + f*z and give f.
-522
Express (2 - 4 + 4 + (-2 - 1 + 0)*(-2 + 2 - 1))*(3*l**2 - 3*l**2 + 3*l**2) in the form r*l**2 + o + n*l and give n.
0
Rearrange (3*t - 2*t - 3*t)*((0 + 2 + 0)*(-12 - 5 + 9) + 5 - 1 + 0 + 24 - 1 - 1) to the form n*t + g and give g.
0
Express -61*m**4 + 3*m**3 + 2*m**2 + m + 65396 - 65398 + 11*m**4 as y*m**2 + q*m + l*m**3 + c*m**4 + a and give a.
-2
Express 3 - i**2 + 2*i**2 - 4 - i**2 + 3*i**2 - 6*i**2 + 2 + (16*i + 5 - 5)*(-2*i + 3*i - 2*i) - 2*i - 2*i**2 + 2*i as o*i**2 + y*i + m and give m.
1
Express (-5*b + 0*b + 0*b)*(-2*b + 5*b - b)*(-8 + 16 + 16)*(0 + 0 + b**2) in the form i*b**4 + c + m*b**2 + l*b + x*b**3 and give i.
-240
Express 5*p + 1 - 6*p - 1 - 2*p + 22*p**2 in the form d + i*p**2 + n*p and give i.
22
Express (-7 + 24 + 21)*(4 - 2 - 5*l - 4) as b + p*l and give p.
-190
Express 1003*q**2 - 1 - 3*q - 980*q**2 + 3*q in the form i*q + g*q**2 + t and give t.
-1
Rearrange (1088 + 1147 - 2405)*(-3*z + 2*z - z) to m + o*z and give o.
340
Express -53*j - 1121*j + 2153*j as r + u*j and give u.
979
Rearrange -7*h**2 + 538*h**3 + 5*h**2 + 4*h**4 - 268*h**3 - 274*h**3 to the form n*h**4 + u + k*h**3 + g*h + l*h**2 and give l.
-2
Rearrange (2*l**3 - 5*l**3 + 0*l**3)*(1 - 3 + 3) - 216*l**3 - 492 + 492 to the form v*l**2 + t*l + p + w*l**3 and give w.
-219
Rearrange 8*h**2 - 13*h + 2 - 4*h**2 + 7*h - 2*h**2 to q*h**2 + x*h + f and give x.
-6
Rearrange -2*j - 2*j**4 - 3*j**4 - 4*j**4 - 54 - 2*j**2 + j**4 + 10*j**4 to the form t*j**3 + v*j**4 + i*j + k + z*j**2 and give i.
-2
Rearrange -22 + 73*y**2 - 72*y**2 - 54 to the form m*y + p + g*y**2 and give p.
-76
Rearrange -61*k - 18*k**2 - 12*k**2 + 37*k**2 - 9*k**2 to b + x*k + l*k**2 and give x.
-61
Express -170 + 34 + 48002*k - 48004*k as p + t*k and give t.
-2
Express (0*u + 0*u + 2*u)*(-u - 4*u + 3*u) + (u - u + u)*(-447*u - 387*u + 334*u) in the form l*u**2 + d + g*u and give l.
-504
Rearrange 2*a**2 + 28 + 39*a**4 + a - 28 - a**3 to the form o*a**3 + d*a**4 + g + i*a + m*a**2 and give m.
2
Express -25*p + 5*p + 9 - 8 + 2*p - 2*p**2 in the form u*p + k*p**2 + l and give k.
-2
Rearrange 8*r**2 + 3 + 2*r - 32*r**2 - 2*r**2 to the form b*r + m*r**2 + w and give w.
3
Rearrange -39 + c**3 + 11*c + 43 - 17*c - c**2 + 2*c**4 to i + u*c + k*c**4 + v*c**3 + q*c**2 and give q.
-1
Express (7*x + 18 - 18)*(-x + 3*x - 4*x)*((4*x + 0*x - 2*x)*(4 - 3 + 0) + 2*x - 3*x + 4*x) in the form a*x**3 + c*x + g*x**2 + j and give a.
-70
Rearrange (22*h**3 + 20*h - 20*h)*(-4*h + h + 2*h) - h**4 - 8*h**4 + 0*h**4 to the form z*h**2 + o*h**4 + k*h + s*h**3 + u and give o.
-31
Rearrange 262*m + 2 + 2*m**2 - 138*m - 130*m - m**4 to c*m**4 + y*m**3 + g*m + u*m**2 + p and give p.
2
Rearrange -81*j**3 + 880 - 2*j**2 - 882 + j**2 to v*j + k*j**3 + b + z*j**2 and give k.
-81
Express 7 - 84*f + 147*f + 2 - 75*f as h*f + w and give h.
-12
Rearrange (5*g**2 - 6*g**2 - 11*g**2)*(4*g - 3*g + g) + 1 - 1 - 2*g**3 + (g - 6*g + g)*(2 + g**2 - 2) to the form d*g + n + c*g**2 + v*g**3 and give n.
0
Rearrange (3*f + 3*f - 7*f)*(f**2 - f**2 + f**2) + (2*f**3 - 2*f**3 - 3*f**3)*(-375 + 53 + 110) to the form d*f + o + z*f**2 + i*f**3 and give i.
635
Express -5 + 5 - l**3 - l - 121*l**4 + 120*l**4 - 15*l**2 in the form n + w*l**3 + i*l**4 + a*l**2 + c*l and give a.
-15
Rearrange -3*u**3 + 0 - 3 + 3 + 53*u**2 to the form z*u**2 + s*u**3 + t*u + g and give z.
53
Express (-19 - 46 + 17)*(114 + f - 2*f**2 - 115 + f - f**3) as y*f + q*f**2 + g + c*f**3 and give y.
-96
Rearrange ((-2 - 4 + 4)*(0 + 1 - 2) - 4 + 3 - 1 - 2 + 2 + 1)*(19 + 59*w**3 - 117*w**3 + 59*w**3) to the form v + a*w + p*w**2 + t*w**3 and give t.
1
Express -303*k**2 - 116*k - k**3 + 245*k - 2 - 129*k as j + h*k**2 + v*k + a*k**3 and give a.
-1
Express -29*j - 98*j + 127*j - 16*j**2 - 15 as x*j**2 + r*j + h and give h.
-15
Rearrange -201*a - 304*a - 213*a + 2*a**3 + 192*a to the form z + n*a + h*a**3 + y*a**2 and give n.
-526
Express (-4*g - 6*g + 11*g)*(0*g + 82 - 80 - 3*g) as a*g**2 + s*g + q and give s.
2
Rearrange -78*q - 653*q - 412*q + 12*q + 189*q to the form t*q + m and give t.
-942
Rearrange (b - b - b)*(-3 - 4 + 5 + (-5 + 5 + 4)*(1 + 0 + 1) + 43 - 1 + 18) to y + h*b and give h.
-66
Rearrange (4 + 1 + 1)*(-8 + 12 - 6)*(-24 - 4*d + 24) to the form m + i*d and give i.
48
Express b**4 - 3*b**2 - 11*b**3 + 28*b**3 - 3*b**3 - 12*b**3 + b**3 - 19*b as n*b + t*b**3 + y*b**4 + j + z*b**2 and give z.
-3
Express (-a**2 + 0 + 0 + (-a**2 - 3*a**2 + 5*a**2)*(3 - 4 - 2))*(a + 0 + 0) in the form r*a**2 + t*a**3 + y*a + v and give v.
0
Express 10*q + 166 - 4*q - 3*q - 4*q as h + b*q and give b.
-1
Rearrange (0*i + 5*i - i + i**2)*(-9*i + 2*i + 70*i) - 2*i**3 + 0*i**3 + i**3 + (-1 + 1 + 2)*(2*i**3 + i**3 - 2*i**3) to q + p*i**3 + t*i + k*i**2 and give p.
64
Rearrange -3*u**4 + 2*u**4 + 905*u - 984*u - 2 to g*u**3 + o*u + h + t*u**4 + j*u**2 and give j.
0
Rearrange 0*n**2 + 3*n**2 - n**2 + (-3*n + 2*n - 2*n)*(2*n - 3*n - n) - 6*n**2 + 10*n**2 - n - 30*n**2 to h*n**2 + j*n + y and give h.
-18
Rearrange 29*x**3 - 58*x**3 - x - 93*x**3 + 0*x to t + n*x**2 + k*x**3 + d*x and give d.
-1
Express (-d**2 + 0*d**2 + 0*d**2 + (-23*d + 23*d + 3 + 4*d**2)*(3 + 0 - 5))*(4*d - 4*d + 3*d**2) as z*d + s + x*d**3 + i*d**2 + a*d**4 and give a.
-27
Rearrange c + 12*c + 2*c**2 - 24*c + c**4 + 2*c**3 to i*c**3 + g*c**2 + u + s*c + t*c**4 and give g.
2
Express (-1 + 3*m + 5 + 2)*(6*m - 4*m + 0*m + 46) in the form r + l*m + u*m**2 and give u.
6
Rearrange (32 + 51 - 23)*(-44*z + 44*z - 6*z**4) to the form p*z**3 + m + o*z**4 + t*z**2 + s*z and give o.
-360
Rearrange a**4 + 0*a**4 + 0*a**4 + (-a + 95 - 95)*(52*a**2 + 3*a**3 - 52*a**2) to the form w*a**2 + m*a**4 + o*a**3 + j*a + v and give m.
-2
Rearrange -444*u**3 - 3*u**2 + u**4 + 446*u**3 + 5*u**2 + 32 to f*u**3 + y + h*u**2 + o*u + x*u**4 and give f.
2
Express -67 - 701*b**2 + 33 + 34 as f + m*b + w*b**2 and give w.
-701
Rearrange 2*p**3 + 8*p**3 + 1 + 4*p**4 + 2*p**2 + 7*p**3 + 3*p - 18*p**3 - p to y + u*p + q*p**3 + c*p**4 + j*p**2 and give j.
2
Express (0 + 3 - 4)*((-6*d - 3*d - d)*(1 - 5 - 1) + (-4*d - d + 6*d)*(4 - 3 + 0) + 2 + 3*d - 2) in the form c + n*d and give n.
-54
Rearrange 2*r**2 + 75*r**3 - 75*r**3 - 2 + 20*r**3 + 2*r to the form x*r + v + j*r**3 + s*r**2 and give j.
20
Express 0*d**3 - 3*d**3 + 2*d**3 - 1 - 22*d**4 + (-3*d + 5*d - 3*d)*(12*d**2 - d**3 - 12*d**2) in the form x*d + s*d**4 + n + z*d**2 + g*d**3 and give s.
-21
Rearrange -3*y**2 + 4*y**2 + 0*y**2 + (y + 0*y - 2*y)*(0 + 0 - y) + 108*y**2 - 74*y**2 - 80*y**2 + y to the form n*y + w + o*y**2 and give n.
1
Express -1 + 131*q**2 + 1 + 2676*q**3 - 2674*q**3 - 1 in the form m*q**3 + r*q**2 + c + b*q and give m.
2
Express 191*i + 184*i + 302*i + 2 + 3*i**3 - 4*i**3 as k*i**3 + w*i**2 + o*i + m and give o.
677
Rearrange 16*l + 11 - 11 + (0*l + l - 12*l)*(-1 - 1 - 6) + (-l + 0 + 0)*(-2 + 3 - 2) to f + m*l and give m.
105
Express 73*y**4 + 82*y**4 + 171*y**4 + (-2 + 3 + 0)*(3*y - 3*y + y**4) in the form j*y**3 + l*y**4 + w*y + a*y**2 + t and give l.
327
Rearrange 278*h**2 - 5 + 0 - 277*h**2 to u*h**2 + o*h + y and give y.
-5
Rearrange 4 + 3*a - 3*a**3 - 2 - 5*a**4 + 0 + a**2 + 4*a**3 to the form s*a + v + b*a**2 + j*a**3 + t*a**4 and give b.
1
Rearrange (-2 + 3 - 2)*(33*g - 45*g - 30*g)*(3*g**2 - 3*g**2 + g**2) to the form d*g**2 + f + v*g**3 + q*g and give v.
42
Rearrange (-1 + 1 - 2*s**4)*(513 - 915 - 153 + (-3 + 0 + 4)*(0 - 2 + 0)) to the form g*s**3 + f*s + u + m*s**2 + z*s**4 and give z.
1114
Rearrange (-2 - 2 + 2)*(-s + 41*s + 39*s) + (3 + 1 - 2)*(2*s + 0*s - s) to c*s + t and give c.
-156
Express -5*x**3 - 2*x**4 - x**2 + 12*x**3 - 8*x**3 - 9 in the form o*x**4 + f*x + q*x**2 + a + j*x**3 and give q.
-1
Rearrange 66*m - 459*m - 236*m to the form d*m + o and give d.
-629
Rearrange 143*v**2 - 15*v**3 - 144*v**2 - 277 + 12*v**3 to c*v + k*v**2 + j + q*v**3 and give k.
-1
Rearrange (-5 + 3 + 0)*(2210*y - 279*y - 516*y) to l*y + q and give l.
-2830
Rearrange (101 - 101 + 22*u)*(3 - 5 + 3) + 2*u + 2 - 1 + 1 + (1 - 1 + u)*(-14 - 14 + 5) to q + h*u and give q.
2
Rearrange -1 - 115*u - 112* | {
"pile_set_name": "DM Mathematics"
} |
h is smaller: v or z?
v
Suppose -45*z = -55*z - 2860. Let u be z/(-58) + -14 + 9. Let o = 1/8 - -3/8. Is u at most as big as o?
True
Let t = 0.693 + -0.43. Let a = 92.263 - t. Which is bigger: a or -0.3?
a
Suppose 44 - 26 = 6*p. Suppose 5*g = 12*v - 9*v, p*g + 3*v = 0. Is -5/26 greater than g?
False
Let v be (2/(-1384))/((-218305968)/16792767 - -13). Let h = v - -8089. Which is smaller: h or 0?
h
Let z = 0.6883 - 0.6883. Is z <= -776?
False
Let p(z) = -2*z**3 - 12*z**2 - 8*z + 8. Let i be p(-4). Suppose 0*h + 4*h = -112. Which is smaller: i or h?
h
Suppose -518*k + 515*k + 35 = -5*x, 0 = -3*x + 3*k - 21. Is -2/17 less than or equal to x?
False
Let b = -0.89 - 252.11. Let f = b + 253. Which is smaller: 1/366 or f?
f
Let q be 2110 + -9 + 0 + -12. Is q less than 2088?
False
Suppose -2*g - 25*k + 20*k = -20, -12 = -g - 3*k. Which is smaller: 4/5 or g?
g
Let x(o) = o**2 - 33*o - 12. Suppose 2*v = -n + 25, -n - 4*n + 125 = -3*v. Let i be x(n). Is i < -212?
False
Suppose 4*p - 128 = -11*h + 13*h, -2*h - 114 = 3*p. Let z be (-8)/12*-1 - h/(-9). Is z at least -20/3?
True
Suppose -f = 3*u + 18, 158 = -5*f + 1093*u - 1091*u. Let s(w) = w - 31. Let m be s(0). Is f > m?
True
Let l be 6*(8 + 146/(-18)). Which is smaller: l or 0.583?
l
Let o be (6/(-4))/((-12)/16). Let f = 258 + -32. Let n = 190 - f. Which is bigger: o or n?
o
Let h be 31/24459*1110087/(-201) - (-2 - 5). Are -1 and h non-equal?
True
Let g be -2 - 158 - 3 - 0. Let x = g + 803/5. Let j = 786 - 789. Is x greater than j?
True
Let i = -6995/488 - -1/1464. Let w(n) = 6*n**2 + 3*n - 3. Let v be w(-3). Suppose 21*m = 18*m - v. Is m < i?
False
Let b be ((-12)/(-15) - 1) + (-876)/20. Let m = -39 - b. Let a(c) = 2*c - 5. Let u be a(m). Is 6 at least u?
True
Let y = -321 + 334.6. Let s = 0.6 - y. Which is smaller: 1.2 or s?
s
Let a(j) = 49*j**2 - j. Let t be a(1). Let o = -140/3 + t. Let i = -746966 + 746971. Are i and o unequal?
True
Let w = 54.8 - 54.55. Let b = -5 - -7. Let l = 2.1 - b. Which is bigger: l or w?
w
Let u be (-2)/7 + (-10)/(-35). Let x(n) = 7*n + 31. Let i be x(-5). Let z be i*14*3/60 + 3. Is z > u?
True
Let x = 84.233 - -1.867. Let h = 86 - x. Is h at most 128?
True
Suppose 158 = 3*i + 4*z - 3*z, 0 = 3*z + 12. Let d = 117/2 - i. Which is greater: 4 or d?
d
Let w(f) = -1094*f + 4915. Let j be w(6). Is j not equal to -1649?
False
Let b be (-3)/(-7) + (-585)/(-105). Let s(x) = 5*x + x + x**2 - b - x + 2. Let o be s(-5). Which is greater: o or -14/5?
-14/5
Let f be 2 - ((54808/(-288))/(-13) - 1/(-4)). Let t = -20 + 7. Which is smaller: t or f?
t
Suppose -22*n + 13 = -21*n. Let d be (n/936)/((-5)/4). Which is smaller: d or 0.1?
d
Suppose 5*l - 11*l = 6. Let v = 58/5 - 1231/110. Is v not equal to l?
True
Suppose -239*b + 121*b = -120*b - 66. Which is smaller: b or -457/14?
b
Let c(a) = a**2 + a - 2. Suppose 5*u - 86 = -2*l, 4*l = -7 - 1. Let h = -20 + u. Let m be c(h). Are 1/2 and m equal?
False
Suppose -13559 = 13*f + 151866. Let r = f - -3728419/293. Is 1 > r?
True
Let k be (5 + 50/(-10))/(1 + 1). Is 1632 at least as big as k?
True
Let d(l) be the second derivative of -22*l + 1/6*l**3 - 13/2*l**2 + 0. Let k be d(12). Do k and 2/55 have different values?
True
Let v = -8.5 + 8.6. Let s = -27 - -23.1. Let z = s + 3.89. Is z at most as big as v?
True
Let y(n) = n**2 - 3*n + 1. Let r be ((-2)/5)/((-19)/95). Let f be y(r). Let j = 115 - 919/8. Which is smaller: j or f?
f
Let j(m) = -5 + 9*m + 5. Let h = 947 + -946. Let s be j(h). Which is bigger: s or 10?
10
Let d = 4.767 + -5.767. Let g be 124/(-6)*(-9)/(-6). Which is greater: d or g?
d
Suppose -13*u + 1861 = -2091. Which is greater: 3356/11 or u?
3356/11
Let s = -260.61 + 260. Let q = s - 0.84. Is q < -2?
False
Suppose 0*b - 825 = -3*b. Suppose -2*z = -3*y - 17, 4*y + 0 = 3*z - 24. Suppose -z*q = 7*q + b. Which is greater: -27 or q?
q
Let s = -280 - -280. Suppose -231*v + 229*v = s. Is v bigger than -3/154?
True
Let z = 0 + -1. Let b = 161 - 156. Let h be (-11)/12 + b/4. Is z <= h?
True
Let p = 64064/3 - 377593219/17682. Do 0 and p have different values?
True
Let d(u) = u**3 - 32*u**2 + 61*u + 61. Let s be d(30). Let o = -103 + s. Which is smaller: o or -9?
o
Let b be 7200 - -20 - 5/(-1). Let v be -6 - (b/(-1125) - 4/(-18)). Which is smaller: v or 4?
v
Suppose -3*f + 4*f = 1. Let i be ((-74448)/74 - -1)*1. Let x = -1005 - i. Is x at most f?
True
Let h = -101.3 + 45.8. Let b = 55.6 + h. Which is greater: 2.46 or b?
2.46
Let u = 732 + -805.3. Let b = 73.3 + u. Let m = 1174/95 - 61/5. Is b less than m?
True
Suppose -4*m + 225 = 3*k, 5*m - 203 = 3*k + 112. Let u be ((-1)/(-3))/(m/9 + -7). Suppose 5*g - 4*g + 1 = 0. Is g greater than u?
False
Let n = -605 - -607.49. Let x = n + -2.59. Are x and -42 equal?
False
Let g = -1006 - -1029. Let j = -52 + 75. Is g bigger than j?
False
Let b = -9966 - -6109. Which is greater: -3856 or b?
-3856
Suppose 0 = -a + 17*a - 22752. Is a greater than or equal to 1421?
True
Let o(y) = 958 + 2*y + 12*y - 836. Let d be o(-11). Which is smaller: -92/3 or d?
d
Let x = 1640 - 1637. Which is bigger: x or 974?
974
Let z = -46.706 - -48.706. Let r = -82.44 + -1.56. Is r <= z?
True
Let f = 1/6454 + -19367/32270. Which is greater: f or 0.021?
0.021
Let b be (-21 + 25)*((-2)/(-7) - 2992/10703). Is 0 < b?
True
Let g = -0.8 - 1.02. Let j = g - -1.92. Which is smaller: j or 10/17?
j
Suppose 4937*o = 4951*o - 672. Does o = 13?
False
Let v be (-5)/(525/20)*(0 - (-1)/2). Which is greater: -33.4 or v?
v
Suppose 6*b - 4*b + 5*k - 24 = 0, 5*b = -k + 60. Suppose -8*j - b*j = -4*j. Is -2/265 not equal to j?
True
Let w(c) = 10*c**2 - 5*c - 25. Let u be w(-6). Let l = u - 106. Is 259 < l?
False
Let d = 12967 + -13446778/1037. Let y = 15547/8296 + d. Are 1 and y equal?
False
Let l(x) = 19*x - 13. Let u be l(3). Suppose -3*g + d + 157 = 0, -4*d - 44 = -2*g + u. Is 55 <= g?
False
Let m = 201.56 + -218.56. Which is smaller: m or 201?
m
Suppose -23*w = 168 + 844. Let c = 4.9 + -5. Which is smaller: c or w?
w
Let y be ((-100)/3)/4*54/(-30). Let u(x) = x**3 - 12*x**2 - x + 14. Let p be u(12). Suppose -p*z + z + 14 = 0. Which is bigger: z or y?
y
Suppose -8 + 13 = -z. Let g = 47 + -39. Suppose 0 = k + 2*o - 2, 2*o + g = 4*o. Do k and z have the same value?
False
Let a = 67.47 + -67.77. Which is smaller: a or -3726?
-3726
Let d = 0.898 + -0.6. Is d > -1.9?
True
Let o(b) = -5*b. Let u(h) = -15*h + 17. Let y(v) = -6*o(v) + u(v). Let i be y(3). Which is smaller: i or 64?
i
Let g(u) = 431*u - 24 + 4 - 489*u. Let c be g(8). Let r be (2 + (-4)/3)/(c/99). Is 1 at least as big as r?
True
Suppose -3*x - 193 = -43. Suppose -4*u = 4*o + 8, -536*u = -o - 535*u + 6. Is o at least as big as x?
True
Suppose -4*v - 5*b + 41 = 0, -2*b = 4*v - 570 + 544. Is 94/19 greater than or equal to v?
True
Let p = -3081 + 1916. Which is smaller: p or -1166?
-1166
Let t be (415/(-440) - (-3)/24)/(-95). Let s = 14/55 + t. Is 0 < s?
True
Suppose 0 = 5*i - 0*i - 40. Let f be (6/5)/(14/((-630)/(-27))). Suppose -n = f*m - 9, -6*m + 2*m + 3 = 5*n. Which is smaller: i or m?
m
Let p = -43.4 - -1.4. Let f be (1/(-2))/((-2)/(-4) - 1). Let m be (f - -2)/1 - 5. Which is smaller: p or m?
p
Let v = -5759 - -5760. Is v smaller than -7/604?
False
Let u = 165 - 162. Let q(x) = 3*x**3 - x**2 + 3*x. Let g be q(u). Is 81 > g?
False
Let d(p) = -41*p - 22. Let x = 45 - 39. Let a be d(x). Is a smaller than -267?
True
Let q = 32 + -20. Suppose -q = 5*n + 23. Let b(g) = -8*g - 32. Let h be b(n). Are h and 23 nonequal?
True
Let l = -2 - -5. Suppose 3*v - 49 = 4*c, -l*v + 6*v = 5*c + 59. Let u be -20 - (-2622)/133 - 22/(-28). Which is greater: c or u?
u
Let h(a) = -3000*a + 3011. Let s be h(1). Suppose -2*p + 3*b + 25 = -0*b, -4*b = 2*p - 18. Is p > s?
False
Suppose -46*c - 1542 = -300. Which is greater: c or -50?
c
Let a be (-21)/14 + -2 + 3/(-6). Let x be (2/a)/((-260)/60). Let k(d) = -6*d + 19. Let c be k(3). Which is bigger: c or x?
c
Let f be ((-2)/4)/((-2)/4). Let p be (-4)/(-18) - ((-7420)/(-90))/(-7). Suppose 5*z - u = p, -12*z + 3*u + 12 = -9*z. Is f >= z?
False
Suppose -2*z = -114*k + 110*k - 18818, 0 = -2*z + 3*k + 18824. Are 9421 and z equal?
True
Let z = -3945 + 7007. Is z >= 3065?
False
Let f be -18 - ((-2)/(-8) + (-15)/12). Let l be 266/3 - (f/(-3) + -5). Let j be (3 - 2) + (3 - l/20). | {
"pile_set_name": "DM Mathematics"
} |
) - 6/8 and 8?
8
Let c = 3 - -1. Suppose -3*l - 17 = -2*o - 5, -2*l + 40 = c*o. Calculate the least common multiple of 7 and o.
63
Suppose -j - 114 = -3*j. What is the common denominator of -93/8 and 3*3*j/63?
56
Suppose -4 = -0*p - 2*p. Let w = 5 - p. What is the smallest common multiple of 9 and w?
9
Let w = -1 + 11. Suppose -22*b + 16*b + 48 = 0. What is the lowest common multiple of w and b?
40
Let o = 3121 - 68701/22. What is the common denominator of 65/22 and o?
22
Let q(m) = m**3 + 2*m**2 - m - 1. Let l be q(-2). What is the least common multiple of l*(-2 + 0)*-1 and 4?
4
Let r = -949/12 + 76. What is the common denominator of 91/6 and r?
12
Calculate the common denominator of (7/30 + -4)/(2/(-6)) and -5/38.
190
Suppose -2*s - 5 = 7. Let a = 10 + s. Suppose 3*f + 75 = 4*v, -2*v + a*f = -6 - 34. What is the least common multiple of 8 and v?
72
Let l = 5605 + -55943/10. Let z be 2/11 + (-303)/33. Find the common denominator of (-3)/z - 8/(-6) and l.
30
Let y = 109765/72 - 13772/9. What is the common denominator of 107/14 and y?
168
Suppose 2*l = w - 7, 0*w = -w + l + 6. Let g = 8 - w. What is the common denominator of 50/9 and -1 + g + 7/(-3)?
9
Calculate the least common multiple of 2/17 - 117/(-17) and 4 - (4 + -3) - -2.
35
Suppose 2*b = 5*u + 12 + 28, 5*b + 2*u = 42. Suppose -21 - 19 = -10*v. What is the least common multiple of b and v?
20
Let n(q) be the second derivative of -2*q**3/3 + 5*q. What is the smallest common multiple of 2 and n(-1)?
4
Let b be 6*((-159)/(-6) + 0). What is the common denominator of -33/10 and 1 - 1/((-66)/b)?
110
Suppose -5*h + 4*h = -4. What is the least common multiple of 30 and h?
60
Let g(o) be the third derivative of o**5/60 + 2*o**3 - o**2. What is the lowest common multiple of 20 and g(0)?
60
Let u = 19677182051/5158 - 3814886. Let c = 1251421/1217288 + u. Let p = 5/59 + c. Find the common denominator of p and 17.
8
Let l(x) = x**2 + x - 4. Calculate the smallest common multiple of 14 and l(-4).
56
Let v = -6770 + 40771/6. Let d = 22323/8 + -2781. Calculate the common denominator of v and d.
24
Let z be (2 + 3/(-2))*0. Let p = z - -12. What is the least common multiple of p and 2?
12
Suppose -2*l = -41 - 7. Suppose -7*m + l = -5*m. Calculate the smallest common multiple of m and 10.
60
Suppose 3*m = 5*n - 3, -6*n = -2*n - 2*m - 2. Suppose n*d = -d + 1. Calculate the lowest common multiple of ((-1)/2)/(1/(-18)) and d.
9
Let c = 210897/16 - 13177. Calculate the common denominator of c and -41/28.
112
Let q be (-7)/((-7)/(-2)) - -37. Suppose 0*n + q = n. What is the common denominator of n and -29/4?
4
Let z = 1 + -1. Suppose 0*j + j - 8 = z. Calculate the lowest common multiple of 4/((-32)/(-30)) + (-4)/(-16) and j.
8
Suppose 0 = -y + 3*y - 4. What is the least common multiple of 2 and y?
2
Let y(p) = p**3 - 4*p**2 + p - 2. Let w be (18/(-15))/((-6)/20). Let t be y(w). What is the least common multiple of (-1 - -45)/2 - t and 6?
60
Let u(n) = n**2 + 7*n - 7. Let v be u(-9). Suppose 19 = 5*q - v. Calculate the smallest common multiple of 4 and q.
12
Let s = 37 + -30. Calculate the smallest common multiple of s and 16.
112
Let l be 7917/828 - (-2)/8. Let z = l - -35/23. Let i = 12 - z. What is the common denominator of i and -11/3?
3
Let n = 5620193 + -78604949/14. Let i = n - 5561. Let j = 41/3 + -247/18. Calculate the common denominator of j and i.
126
Suppose -33 = -2*n + 3*v, 4*n - 4*v + 5*v = 87. Calculate the lowest common multiple of 3 and n.
21
Let h = -4/2219 + 290737/26628. What is the common denominator of -55/24 and h?
24
Let j(g) = -g**3 + 3*g**2 + 6*g - 4. Let k be j(4). Suppose -1 = -x - k. Calculate the common denominator of x + 0 - (-39)/(-24) and -63/8.
8
Calculate the least common multiple of 5 and (-3)/2*(-12)/9.
10
Suppose 3*f + 12 = -0*f, -3*u + 5*f + 32 = 0. Let l(p) = 5*p + 2. Let d(v) = v. Let r(t) = -4*d(t) + l(t). What is the smallest common multiple of 11 and r(u)?
66
Suppose -d = -9*d + 112. Let g = 41 - 21. Calculate the least common multiple of g and d.
140
Let u = -17695784/11 - -1610444. Let w = u - 1739. Find the common denominator of w and 51/8.
88
What is the common denominator of -89/4 and (-1 - 63/(-60))*(-82)/2?
20
Let v(b) = -4*b**3 - 11*b + 2. Let a be v(-8). Let y = a + -17129/8. What is the common denominator of y and (-2 + -1)*5/4?
8
What is the common denominator of -61/26 and (-5)/(30/(-12)) - 47/(-16)?
208
Let d be 3/(-5) - 2/5. Find the common denominator of (-1 + d)/(24/166) and -97/8.
24
Let f be -2 + 701*2/(-20). Let c = 72 + f. Find the common denominator of c and -79/2.
10
Suppose 5*j + 144 = 13*j. Calculate the lowest common multiple of j and 38.
342
Let s be 837010/284292 - 12/(-8). Let n = s + 2/7897. Find the common denominator of -42/11 and n.
99
Let x(p) = -p**2 - 6*p + 6. Let a be x(-5). Let i = a + -4. Let s(o) = -o + 3. What is the smallest common multiple of s(0) and i?
21
Suppose 3*p - 2*p + 3 = 0, -p = 3*j - 3. Suppose -5*t - j*r - 21 = r, -3*t + 3*r - 3 = 0. Calculate the common denominator of 3/11 and (-279)/5*t/(-18).
110
Let z be 7/(-35) + 1088/(-10). What is the smallest common multiple of 14 and 4/20 - z/5?
154
Suppose -t = 2*t. Suppose 2*w + 2*r = t, 5*w + 2*r - 1 = 2. Calculate the common denominator of 2/((-16)/(-122)) + w and 17/8.
8
Let v(g) = 3*g**2 - g - 2. Let j be v(-3). Suppose j = -2*t - 0. Find the common denominator of 65/14 and (-670)/56 + 4/t.
28
Let r = -9 + 21. Let g(b) = -b - 2. What is the smallest common multiple of r and g(-6)?
12
Suppose 2*g + 48 = 5*g. Let t(o) = -o**2 + 4. What is the least common multiple of t(0) and g?
16
Let v = -19/30 + 4/5. Let t = -3112269/8 + 393466. Let g = t + -4426. What is the common denominator of g and v?
24
Let k = -3 - -5. Suppose 150 = -a + k*g + g, 0 = 4*g - 4. What is the common denominator of (-1)/(-4)*a/6 and 93/4?
8
Suppose 0*d = 4*d. Suppose n + 4*n - 55 = d. What is the least common multiple of n and 8?
88
Let d = -16/141 - 11671/282. Find the common denominator of 81/4 and d.
4
Let g = 63159/10 - 6321. What is the common denominator of g and -117/20?
20
Let a be -2 - (68/(-2) - -2). Suppose -4*h + a = h. Let y(s) = s**3 + 5*s**2 + 3*s + 6. Calculate the least common multiple of h and y(-4).
30
Let c be (2/(406/11))/(-1). Let v = -15829/3654 - c. What is the common denominator of -101/22 and v?
198
Find the common denominator of 53/20 and (-50)/60*158/10.
60
Let m = -34/1691 - 315197/50730. What is the common denominator of -15 and m?
30
Let p = 5185/14 + -370. Calculate the common denominator of -1/14 and p.
14
Suppose -2*w + 6 = -0*w. Suppose 6 = -4*z + w*f - 2*f, 4*f = 5*z + 2. Find the common denominator of 36/5 and 677/56 - z/7.
40
Let o be 2186/3*6/(-4). Let n = -4419/4 - o. What is the common denominator of n and -121/12?
12
Suppose 6*n - 24 = 3*n. Let v be 4/16 - (-14)/n. Suppose v*c - 9 = -c. Calculate the smallest common multiple of 11 and c.
33
Suppose 3*x = -70 + 3259. Let b = x + -1545. Find the common denominator of 17/10 and 1/3 - b/(-96).
80
Let r = 722 + -11509/16. What is the common denominator of r and 19/14?
112
Let x = 252041/114274 + 1/3361. Find the common denominator of 95/6 and x.
102
Let m = -19 - -19. Find the common denominator of -41/18 and 298/44 - (m + 3).
198
Suppose 0 = -5*d - 0*d - 1335. Find the common denominator of (-2)/(-4) + (-219)/(-24) and d/(-30) + 2/4.
40
Let h = 4097 - 24733/6. Let w(i) = -1867*i + 1. Let z be w(1). Let y = -7421/4 - z. Find the common denominator of y and h.
12
Let g(s) = -2*s**2 - 24*s + 31. Suppose 18 + 14 = 4*j + 4*k, -3*j + 3*k + 36 = 0. What is the lowest common multiple of j and g(-13)?
10
Suppose 0 = -6*a + 77 - 23. What is the least common multiple of a and 15?
45
Let o be (-4 - -1)*(-4)/6. Find the common denominator of ((-1)/2)/((-4)/10) and (-31)/5 + o + -2.
20
Let v(k) = -k**3 + 10*k**2 - 2*k + 12. Let m be v(10). Let i = m + 12. Let j = 47 - 25. What is the least common multiple of i and j?
44
Suppose 4*r - 10 = 6. Calculate the common denominator of -2 - ((-177)/27 + r) and -68/3.
9
Calculate the lowest common multiple of 24 and (1/2)/(3/36).
24
Suppose 2*m - 31 = 9. Calculate the least common multiple of m and 22.
220
Let q(a) = 12*a**2 - 2. Calculate the least common multiple of 10 and q(- | {
"pile_set_name": "DM Mathematics"
} |
e (0 + 2)/1 + 0. Suppose 2*h = y + 4, y + 0*y - w = 0. Let d(v) = 7*v - h - 6*v + 2. What is d(4)?
3
Let t(h) = -14*h**2 - h - 4. Let g(f) = 15*f**2 + f + 5. Let z(j) = 4*g(j) + 5*t(j). Calculate z(1).
-11
Let c be (0 + (-24)/(-9))*3. Suppose -c*z = -4*z - 16. Let s(r) = r**2 - 2*r + 1. What is s(z)?
9
Suppose -2*u = -5*u + 18. Let f(g) = g**2 - 9*g + 9. Calculate f(u).
-9
Let s(r) = 13*r - 4. Let t(q) = -12*q + 4. Let y(c) = 5*s(c) + 6*t(c). Calculate y(4).
-24
Let h(s) be the first derivative of -3*s**2/2 + 8*s + 37. What is h(-6)?
26
Let w(q) = q - 2. Let h(m) = m + 19. Let t be h(-19). What is w(t)?
-2
Let w(c) be the first derivative of 5*c - 1 + 1/4*c**4 - 3/2*c**2 - 4/3*c**3. Suppose -p - 3*p = -h - 12, 0 = p - h. Determine w(p).
-7
Let x be 3/(0 + -6)*2. Let u be (-6 + 1)*x + -3. Suppose 2*b = -u*b. Let j(w) = -w**2 + w + 3. What is j(b)?
3
Let h(o) = 3*o + 3. Let p(y) = -14*y - 16. Let v(f) = -11*h(f) - 2*p(f). What is v(1)?
-6
Let d(u) = u + 1. Suppose 5*k - i = -10, -3*k + 0*i + 1 = -2*i. Let h be (-4)/6 - (-33)/9. Let n = k + h. Determine d(n).
1
Let s(v) be the third derivative of -v**5/60 - 5*v**4/24 + v**3/3 + 3*v**2. Give s(-3).
8
Let s(k) = 3*k**2 - 1. Suppose 5*b + 7 = p, 8*p - 3*p + 23 = -4*b. Let u be 0 - b - (3 + -5). Let q be u/(-4) + 2*1. Give s(q).
2
Let q(l) be the third derivative of l**4/12 - l**3/6 + 3*l**2. Determine q(3).
5
Let m(p) be the first derivative of -p**3/6 - 9*p**2/2 + 11*p - 7. Let i(o) be the first derivative of m(o). Calculate i(-5).
-4
Let a = -28 - -27. Let f(d) = 12*d + 1. Give f(a).
-11
Suppose -23 = 5*d - 53. Let q(i) be the first derivative of -i**2/2 + 8*i + 2. Let p(c) = c - 9. Let n(k) = d*q(k) + 5*p(k). Calculate n(2).
1
Let f(j) be the first derivative of j**4/4 - 2*j**3/3 - 3*j**2/2 + j - 1. Let v = -7 + 20. Let h be (-2)/8 + v/4. What is f(h)?
1
Let x(r) = -r**2 + 4*r + 6. Let t = 18 + -12. Determine x(t).
-6
Suppose i = -16 + 19. Suppose -3*g + i = -2*g. Let w(r) = -r**3 + 3*r**2 - 3*r + 3. Calculate w(g).
-6
Let x(n) be the second derivative of -n**5/20 + n**4/4 + n**3 - 2*n**2 + n. Let r(b) = b**3 - b**2 + 2*b - 4. Let l be r(2). What is x(l)?
4
Suppose f + 3 = 2*f. Let p(o) = 1 - 3 - o + f*o - 1 + o**2. What is p(-4)?
5
Let w(g) = 5*g**3 - 9*g**2 + 11*g + 1. Let t(v) = 9*v**3 - 17*v**2 + 21*v + 2. Let x(b) = 6*t(b) - 11*w(b). Let k = -16 + 12. Determine x(k).
-3
Let u = -1 + 0. Let c(h) = 5*h**2 - 1. Give c(u).
4
Let v = 13 + -8. Suppose 0 = -v*p + i + 20, -2*p - p = 5*i - 12. Let w(k) = 2 - k + 2*k - 4. What is w(p)?
2
Let r(a) = 3*a + 5. Suppose -12 = -33*p + 36*p. Calculate r(p).
-7
Let n(j) = -7*j - 5. Let t(d) = 6*d + 4. Let r(v) = -5*n(v) - 6*t(v). Calculate r(1).
0
Let l(s) = s**3 + 3*s**2 + 3*s - 4. Let f = -71 + 140. Let h be ((-3)/(-9))/(1/f). Suppose 0 = 5*w - 2*t - 2 + 7, 4*t = -w - h. Give l(w).
-13
Let n(b) = 6*b**2 + 3*b - 5. Let d be (3/2)/((-2)/(-4)). Let r(g) = 3*g**2 + 2*g - 3. Let u(k) = d*n(k) - 5*r(k). What is u(-1)?
4
Let f(t) = 3 - 7 + 8*t - 7*t. Let p(m) = -4*m**3 + 0*m**3 - 3*m + 5*m**3 + 1. Let a be p(2). Give f(a).
-1
Suppose 2*s = -s + 81. Suppose 2*j = 3*c + s + 7, c + 78 = 4*j. Let o be ((-16)/(-10))/(8/j). Let h(b) = b**2 - 3*b - 5. What is h(o)?
-1
Let u be (2/2 - -1)*4. Suppose 4*k + u = 16. Let w(i) = i**2 - 4*i + 3. Determine w(k).
-1
Let n(u) = -2*u + 3. Suppose -5*c + 3*a + 4 + 3 = 0, 2*a = -4*c + 10. Suppose 5*p = -5, 0 = -2*r + 2*p + 3*p + 13. Let f be -1 - r*-2 - c. What is n(f)?
-7
Let r(f) be the third derivative of -f**7/2520 - f**6/144 - f**5/120 + f**4/12 - 3*f**2. Let c(j) be the second derivative of r(j). Determine c(-4).
3
Let u(y) be the second derivative of y**4/12 + y**3/6 + y**2 - 3*y. Let i = -37 - -37. What is u(i)?
2
Let s(q) = 12*q + 5 - 3 - 2*q**2 - 7*q. Let f(a) = -3*a**2 + 9*a + 3. Let r(k) = -4*f(k) + 7*s(k). Let x(o) = o + 1. Let c be x(-3). Determine r(c).
-4
Suppose -6*b = -2*b - 16. Let q = 10 + -6. Let g(v) = v**3 - 4*v**2 - 2*v - 2. Let m(z) = z. Let d(p) = q*m(p) + g(p). What is d(b)?
6
Let y(i) = i**3 + 10*i**2 + 8*i - 12. Let p(a) = -5*a + 31. Let d be p(8). Determine y(d).
-3
Let l(w) = -w + 5 + 5*w - 1. Let b = 7 + -10. Calculate l(b).
-8
Let m(g) be the second derivative of g**5/60 - g**4/24 - g**3/2 - 2*g**2 - 2*g. Let r(p) be the first derivative of m(p). Determine r(3).
3
Let y(t) = t**2 + 6*t - 4. Let o(h) = 4*h**2 - h. Let i be o(1). Suppose i*j + 6 = -6. Determine y(j).
-12
Suppose 5*w - 3*b - 12 = 0, 2*b - 10 = -4*w + 4. Suppose -4*s - 5 = 5*j + s, -24 = -4*j + 3*s. Let v(i) = 0 - 1 - j*i + i**2 + 0. Determine v(w).
-1
Let o(s) = -2*s - 6. Suppose 0 = 5*y + 4*p + 12, y + 5*p = -0*p + 6. Let c be o(y). Let n be 24/10 - c/5. Let k(w) = -w**2 + 6*w - 3. Determine k(n).
5
Suppose 2*o = -2 + 6. Let s(h) = -3*h + o*h + 2 + 0*h. Give s(3).
-1
Let h(b) = -5*b**2 - 11*b + 20. Let q(t) = 2*t**2 + 6*t - 10. Let y(w) = 3*h(w) + 7*q(w). Let x = -45 + 52. Give y(x).
4
Suppose -30*m + 29*m - 6 = 0. Let y(j) = j**2 + 9*j + 8. Calculate y(m).
-10
Let w(a) = -a. Let f(g) = -3*g - 3. Let v(s) = -2*s. Let j be v(1). Let x be f(j). Suppose x*z + z + 4 = 0. Give w(z).
1
Let h(p) = p**2 + 2*p. Let z(n) = 4*n**2 + 6*n - 1. Let o(s) = -7*h(s) + 2*z(s). Let j be o(4). Let q(y) = -6 + j + 2*y. Give q(3).
6
Let s(g) = -g**2 + 4*g - 2. Let o(x) be the first derivative of x**4/4 + 2*x**3 + 2*x**2 + 3*x - 2. Let y be o(-5). Suppose -2*w = 2*w - y. Calculate s(w).
2
Suppose 3*s = 2*b + 12, 5*s - 4 = -3*b + b. Let z(q) = 21*q**2 + 6*q + 11 - 12*q**2 - 2*q**s. Let p(o) = o**2 + o + 1. Let v(a) = 6*p(a) - z(a). What is v(0)?
-5
Let t(s) = -s**3 - 8*s**2 + s + 3. Suppose 5 = -4*n - 5*f - 17, 2*n + 18 = f. Let d be t(n). Let v(z) = z - 1. Calculate v(d).
-6
Let l = -2 + 3. Let y(c) = c**3 + 8*c**2 - 2*c - 1. Let m be y(-8). Let b(q) = -7 - 14*q + m*q + 6 - q**2. What is b(l)?
-1
Suppose g + g = 0. Let o(n) be the second derivative of n**3/6 - 5*n**2 + n. Calculate o(g).
-10
Let q(h) = 4*h**3 + 3*h**2 + 8*h + 4. Let k(p) = -7*p**3 - 7*p**2 - 15*p - 8. Let v(s) = -3*k(s) - 5*q(s). Suppose 0*z + 25 = -5*z. Determine v(z).
4
Let z(n) = -41*n + 8*n**2 + n**3 - 4*n**2 + 40*n. What is z(-3)?
12
Let b(q) = -2*q + 8. Let f(y) = 4*y + 2. Let v be f(1). Calculate b(v).
-4
Let a be (-6 + (1 - -3))/(-2). Let y(v) = 12*v**2 + 2*v - 1. Calculate y(a).
13
Let r(g) be the second derivative of -g**4/12 - g**3/6 + 3*g**2/2 - 2*g. Let z be (-42)/(-98) + 3/(-7). What is r(z)?
3
Let x(t) = t**3 - 2*t**2 - t. Let v(n) = 2*n - 3. Let q be (-4)/(-3) - 2/(-3). Let y be v(q). Let p be (1 + (4 - y))/2. What is x(p)?
-2
Let p = -2 + 7. Let r(c) = 3*c**3 - 4*c**2 - 23*c - 1. Let b(h) = 8*h + 3*h**3 + h**2 + h**3 - 4*h**3 - h**3. Let m(k) = 8*b(k) + 3*r(k). What is m(p)?
-3
Let b = 3 + -1. Let o(h) = 0 + b*h - 1 - 3*h**2 - 3*h. Let m be (-1 + 2 + 0)/(-1). Give o(m).
-3
Let z(p) = -3*p - 1. Suppose -8 - 4 = -2*g - 4*u, 4*g + 5*u = 33. Let t(k) = 5*k**2 - k + 1. Let o be t(1). Suppose -o*r - g = -r. What is z(r)?
8
Let p(s) = -3*s + 9 + 5*s**2 - 9 - 5 + s**3. Give p(-5).
10
Let k(p) = -8*p**2 + 5*p + 7. Let t(a) = 7*a**2 - 5*a - 6. Let s(c) = -6*k(c) - 7*t(c). Determine s(4).
4
Let t(n) = -n - 3. Let y = 167 + -351. Let s be y/18 + (-6)/(-27). Let a be (s/4)/5*6. Calculate t(a).
0
Let m = 6 - 4. Let i(j) = -j**m + 2*j**2 - 5 - j**3 + 3*j - 2*j. Suppose x = 2*y - 3 - 1, y - 2 = 2*x. Give i(x).
-5
Let r(s) = 22*s + 1. Let n(c) = -c. Let a(q) = 5*n(q) + r(q). Give a(1).
18
Let o(v) be the third derivative of 0*v + 5/6*v**3 + 0 + v**2 - 1/60*v**5 - 7/24*v**4. Let f(w) = -w**2 - w + 1. Let y(n) = 2*f(n) - o(n). Determine y(3).
3
Let l(m) = 1 + 2 - 4 - 4*m. Suppose -2*z = f - 0*f - 12, -f = -4*z + 18. What is l(f)?
-9
Let z(c) be the second derivative of 0 - 1/4*c**4 + c**2 - 1/3*c**3 + 1/20*c**5 + 5*c. Determine z(3).
-4
Let d(y) = 9*y**2 - 2*y + 5. Let z(a) = 13*a**2 - 3*a + 7. Let m be -2*(90/(-4))/3. Let i be 6/m - (-23)/5. Let t(x) = i*z(x) - 7*d(x). What is t(2)?
6
Let t be (-13)/(-26) - (-15)/(-2). Let y(z) = z. Calculate y(t).
-7
Let m(v) = -5*v**2 - v. Let o(x) = x**2 + 24*x - 24. Let t be o(-25). Calculate m(t).
-6
Let b(s) be the second derivative of -s**5/20 + s**3/3 - s**2/2 - 4*s - 2. Calculate b(1).
0
Let s(b) = 7*b - 1. Let g(m) = -2*m + 14. Let q be g(6). Su | {
"pile_set_name": "DM Mathematics"
} |
x**3 + 0*x**6 + 5/14*x**7 + 0*x**2 + 0*x**5. Find the third derivative of t(j) wrt j.
900*j**2
What is the derivative of -143650*u**2 + 1368 + 144911*u**2 + 571 wrt u?
2522*u
Let o = 107 + -83. What is the second derivative of 2*f**3 - o*f - 7*f**3 + 63*f + 6*f**3 + 21*f**5 wrt f?
420*f**3 + 6*f
Let j(x) be the second derivative of 0*x**4 + 0 + 0*x**3 + 126*x - 12*x**2 + 0*x**5 - 22/15*x**6. Differentiate j(l) wrt l.
-176*l**3
What is the first derivative of -56503 + 57092 - 495*m - 710*m wrt m?
-1205
What is the third derivative of 17863*b**2 - 2*b**4 + 4*b**4 - 26085*b**2 - 122*b**5 + 6*b**4 wrt b?
-7320*b**2 + 192*b
Let y(b) = 3*b - 139. Let z be y(49). Let l = 6 + -4. What is the derivative of z*r**2 + 6*r**2 + 4 + 3*r**l wrt r?
34*r
Let l be 6*9/(-90) - 18/(-5). Find the second derivative of -43*z - 40*z**3 - 191*z**3 + 9*z**l + 18*z**3 wrt z.
-1224*z
Let q(g) be the second derivative of 35/2*g**3 - 1/10*g**5 + 0 - 46*g + 0*g**2 - 1/4*g**4. Find the second derivative of q(i) wrt i.
-12*i - 6
Let z(a) = -684*a**3 - 5*a**2 + 839*a + 63. Let p(n) = -685*n**3 - 6*n**2 + 838*n + 76. Let v(r) = 5*p(r) - 6*z(r). Find the second derivative of v(b) wrt b.
4074*b
Find the first derivative of -3*j**2 + 44*j - 1594 + 8*j - 1705 + 1033 - 3279 wrt j.
-6*j + 52
Let z(u) = u**2 - 6*u - 8. Let n be z(10). Let y be ((-15)/(-20))/(6/n). What is the second derivative of 16*l + 3*l**y - 10*l - 32*l wrt l?
36*l**2
Suppose 72 = 50*x - 47*x. Differentiate -x*r**3 + 104 - 13*r**3 - 242 with respect to r.
-111*r**2
What is the second derivative of 178*q + 210*q**2 + 45*q**3 - 82*q**2 - 131*q**2 wrt q?
270*q - 6
Find the second derivative of 5 + 874*f**2 + 156*f + 2092*f**2 + 60*f - 241*f**2 wrt f.
5450
Let z(h) = h**2 + 15*h - 29. Let s be z(-17). Let v be 17/s + (-28)/70. Find the second derivative of -25*n**3 + 0*n**v + 2*n - 5*n wrt n.
-150*n
Let b be (-1)/((-15)/(-30) - (-1)/(-1)). What is the third derivative of 2*t**2 + 17*t**3 + 17*t**3 - 8*t**b wrt t?
204
Let x(b) be the first derivative of 55*b**6/6 - 4*b**3/3 - 396*b**2 + 3050. Find the second derivative of x(f) wrt f.
1100*f**3 - 8
Find the third derivative of -510 + 784 - v**4 + 1479*v**3 - 10*v**2 + 8*v**2 - 2*v wrt v.
-24*v + 8874
What is the third derivative of 36 - 145 + 730*k**3 + 36 + 36 + 41 + 96*k**2 wrt k?
4380
Suppose -12 = -4*f + 4*p, 0 = 8*p - 13*p. Let s(o) be the second derivative of -17/20*o**5 + 11*o + 19/2*o**2 + 0*o**4 + 0*o**f + 0. Differentiate s(q) wrt q.
-51*q**2
Let o(w) = 148*w**2 + 4*w + 3405. Let m(f) = 111*f**2 + 3*f + 2554. Let u(h) = -11*m(h) + 8*o(h). Find the first derivative of u(z) wrt z.
-74*z - 1
Let i(v) be the second derivative of 4697*v**5/20 + 83*v**4/3 + 9*v + 38. Find the third derivative of i(p) wrt p.
28182
Suppose -8*m - 18 = -66. Let r(a) = -72*a + 56. Let w(d) = 288*d - 223. Let t(h) = m*w(h) + 26*r(h). Differentiate t(x) wrt x.
-144
Let p(i) = -i**3 + i + 14. Let y be p(0). Let z be y/(3 - 5)*12/(-7). What is the derivative of -j + j - 509 - z*j**3 + 525 wrt j?
-36*j**2
What is the second derivative of -872*i**4 - 1 + 1 + 871*i**4 - 483*i - 44*i**3 wrt i?
-12*i**2 - 264*i
What is the second derivative of 7577*a**3 + 83*a + 16 - 8436*a**4 - 7577*a**3 - 2975*a**4 wrt a?
-136932*a**2
Let r be (-4)/((-16)/930)*70/105. Find the second derivative of r*m**4 - 1 - 10*m + 3*m + 8*m wrt m.
1860*m**2
Find the third derivative of 309*p**3 + 59*p**2 + 181*p**3 - 898*p**3 + 241*p**3 wrt p.
-1002
Find the second derivative of -1 - 43*k**4 + 772*k + 75*k**4 - 1497*k**3 + 2329*k - 34*k**4 - k**2 wrt k.
-24*k**2 - 8982*k - 2
What is the derivative of 12505 - 7476 - 6188 - 82*b + 1535*b wrt b?
1453
Suppose -4*f + 120 = -f. Suppose 0 = -5*z + 15 + f. What is the first derivative of -8*r**3 + 19*r + z - 12*r - 7*r wrt r?
-24*r**2
Find the second derivative of 6723*f + 1 + 33987*f**3 + 32520*f**3 - 67567*f**3 - 1 wrt f.
-6360*f
What is the second derivative of -2*q - 88 - 19 + 40*q**2 - 600*q**3 - 21*q**2 - 19*q**2 wrt q?
-3600*q
Let r(p) be the second derivative of 1559*p**3/3 + 6411*p**2/2 - 1785*p. What is the first derivative of r(x) wrt x?
3118
Let w(k) = 3*k - 9. Let r be w(3). Let m be r*((-2)/4 - -1) - -8. What is the first derivative of 4*o - m*o + o + 13 wrt o?
-3
Let u(z) = -1872*z**2 + 468*z + 8. Let x(j) = -8*j**2 - 1. Let r(v) = u(v) + 8*x(v). Find the second derivative of r(n) wrt n.
-3872
Let f(t) = t**4 - 2*t**3 + t - 11. Let g(u) = 3*u**4 - 1128*u**3 + 3849*u - 44. Let x(z) = -4*f(z) + g(z). What is the second derivative of x(h) wrt h?
-12*h**2 - 6720*h
Suppose -2*x + x + 2 = -3*f, 4*x = f + 8. Suppose x*d = -6*d + 48. Find the third derivative of d*k**5 + k**5 + 9*k**5 - 2*k**2 wrt k.
960*k**2
Let c(u) = 1714*u - 227. Let h(r) = -1711*r + 217. Let f(g) = 6*c(g) + 5*h(g). What is the derivative of f(b) wrt b?
1729
Let d(s) be the first derivative of 2904*s**5/5 - 184*s**3 - 510. Find the third derivative of d(t) wrt t.
69696*t
Find the second derivative of g + 22 - 25*g**4 + 88 + 12 - 7*g**3 wrt g.
-300*g**2 - 42*g
Suppose -6 = p - 5*r, 7*r = 4*p + 10*r - 68. Find the second derivative of -p*b - 9*b - 10*b - 52*b**2 + 64*b wrt b.
-104
Let v(f) be the first derivative of 29*f**3/3 - 5*f**2 + 3559*f - 2165. What is the derivative of v(d) wrt d?
58*d - 10
Find the third derivative of -6*a**2 - 95*a**5 - a**5 + 21*a**2 + 18*a**5 + 12*a - 81*a**5 wrt a.
-9540*a**2
Let o = -220 - -223. Find the third derivative of 18*s**3 - 79*s**5 + 29*s**3 + 36*s**2 - 47*s**o wrt s.
-4740*s**2
Let p = 2342 + -2330. Let l(w) be the first derivative of -9/2*w**4 + 2*w**2 + 0*w**3 + 0*w + p. Find the second derivative of l(s) wrt s.
-108*s
Suppose 0*k = k + 4. Let u(x) = x**2 + 3*x + 1. Let r be u(k). What is the third derivative of 3*c**5 - 40*c**2 + 24*c**5 - 11*c**r wrt c?
960*c**2
Suppose -40*t + 10764 = -22*t. Find the third derivative of 14*o**2 - 31*o - 625*o**3 + 31*o + 54*o**2 + t*o**3 wrt o.
-162
Let v be (-4 - -5)*-115 - 6/(-2). Let m be 41/7 + (-16)/v. Differentiate m - 6*n + 8 - 2*n + 5 with respect to n.
-8
Suppose 5*h - 3*m = 4*h + 282, 0 = 2*h - 3*m - 555. Differentiate 455 + k - k**4 + 40*k**2 - k - h with respect to k.
-4*k**3 + 80*k
Let p = -71 + 66. Let f(a) = -2*a - 7. Let u be f(p). What is the second derivative of -3*o**2 + 21*o**5 + 0*o**2 - 27*o + u*o**2 wrt o?
420*o**3
Let b(d) be the second derivative of -29*d**4/24 + 7*d**3 - 15*d**2 - d + 35. Let z(s) be the first derivative of b(s). Differentiate z(c) wrt c.
-29
Let o(l) be the second derivative of 11*l**2 + 14/5*l**5 - 57*l + 0*l**3 + 0 + 0*l**4. Find the first derivative of o(c) wrt c.
168*c**2
Suppose 3*u - 19 = 17. Suppose f + 3*c - u = 0, 2*f - 6*f - 2*c + 18 = 0. What is the second derivative of -f*d + 5*d**3 - 54 + 54 wrt d?
30*d
Let f = 431 - 284. What is the second derivative of -f*n - 118*n + 2*n**3 + 26*n - 51*n**4 + 22*n**4 wrt n?
-348*n**2 + 12*n
Let z(h) = 226*h**2 + 3*h - 7. Let a be z(1). What is the derivative of -143*w - a + 143*w + 23*w**2 + 22*w**2 wrt w?
90*w
Let p(i) be the first derivative of -2*i**5/5 - 821*i**4/4 - 3243*i**2/2 - 2784. What is the second derivative of p(g) wrt g?
-24*g**2 - 4926*g
Let b(t) be the first derivative of -75*t**2/2 - 48*t - 84. Let d(s) = -1275*s - 820. Let z(n) = 70*b(n) - 4*d(n). What is the first derivative of z(w) wrt w?
-150
Suppose -59*d + 7631 = -4523. Find the second derivative of 133*u + d - 14*u**2 - 206 wrt u.
-28
Suppose 28 = 2*v - 74. Differentiate -v - 99*r - 106*r + 237*r wrt r.
32
Let v(h) = -1945*h**2 + 3298*h + 18. Let u(m) = 9723*m**2 - 16484*m - 87. Let z(s) = 6*u(s) + 29*v(s). What is the second derivative of z(j) wrt j?
3866
What is the second derivative of -458*z**3 + 94*z + 290*z + 8385*z**3 + 305*z + 162*z wrt z?
47562*z
What is the first derivative of -5878 - 3298*g - 1412*g - 265*g - 419 wrt g?
-4975
Suppose -5*f + 5*s = -120, 0 = -7*s + 6*s. Suppose -8*t + f = -4*t. What is the third derivative of 16*h**t - 19*h**6 + 26*h**2 - 5*h**3 + 5*h**3 wrt h?
-360*h**3
Let s(g) = -2486*g**3 - 8*g**2 + 4*g - 13. Let b(a) = -4973*a**3 - 15*a**2 + 7*a - 26. Let x(u) = -6*b(u) + 11*s(u). Find the third derivative of x(l) wrt l.
14952
Let k(n) be the third derivative of -13*n**7/105 - 5*n**6/24 + 1367*n**5/60 - 962*n**2 - 2. What is t | {
"pile_set_name": "DM Mathematics"
} |
24 is divided by 252?
48
What is the remainder when 71864 is divided by 10?
4
What is the remainder when 220 is divided by 26?
12
What is the remainder when 4499 is divided by 319?
33
Calculate the remainder when 35768 is divided by 11900.
68
What is the remainder when 589995 is divided by 642?
639
Calculate the remainder when 424 is divided by 93.
52
Calculate the remainder when 12994 is divided by 382.
6
What is the remainder when 1091 is divided by 927?
164
What is the remainder when 3424 is divided by 11?
3
What is the remainder when 14531 is divided by 15?
11
Calculate the remainder when 16851 is divided by 82.
41
Calculate the remainder when 18878 is divided by 53.
10
What is the remainder when 26969 is divided by 1865?
859
Calculate the remainder when 2875 is divided by 581.
551
What is the remainder when 740807 is divided by 693?
683
Calculate the remainder when 22166 is divided by 6.
2
Calculate the remainder when 12939 is divided by 164.
147
Calculate the remainder when 832607 is divided by 16.
15
What is the remainder when 1189843 is divided by 26?
5
Calculate the remainder when 3425 is divided by 95.
5
What is the remainder when 359 is divided by 154?
51
Calculate the remainder when 5505 is divided by 371.
311
What is the remainder when 6308 is divided by 788?
4
Calculate the remainder when 4005 is divided by 333.
9
What is the remainder when 3088 is divided by 29?
14
Calculate the remainder when 9624 is divided by 64.
24
What is the remainder when 2048454 is divided by 682809?
27
Calculate the remainder when 184329 is divided by 401.
270
Calculate the remainder when 1013 is divided by 655.
358
Calculate the remainder when 517922 is divided by 596.
594
What is the remainder when 147230 is divided by 229?
212
Calculate the remainder when 622 is divided by 48.
46
Calculate the remainder when 14340 is divided by 7165.
10
Calculate the remainder when 6800 is divided by 1021.
674
Calculate the remainder when 36662 is divided by 6107.
20
What is the remainder when 57886 is divided by 14?
10
What is the remainder when 22867 is divided by 15?
7
What is the remainder when 225212 is divided by 29?
27
What is the remainder when 3051 is divided by 48?
27
Calculate the remainder when 1472 is divided by 385.
317
What is the remainder when 6073 is divided by 1831?
580
Calculate the remainder when 403351 is divided by 4384.
23
Calculate the remainder when 1425 is divided by 310.
185
Calculate the remainder when 139445 is divided by 18.
17
Calculate the remainder when 964 is divided by 487.
477
What is the remainder when 19886 is divided by 26?
22
Calculate the remainder when 715616 is divided by 23.
17
Calculate the remainder when 3326900 is divided by 504.
500
What is the remainder when 11696 is divided by 2318?
106
What is the remainder when 13511 is divided by 3376?
7
What is the remainder when 4720 is divided by 1174?
24
Calculate the remainder when 753 is divided by 263.
227
What is the remainder when 106991 is divided by 224?
143
Calculate the remainder when 108863 is divided by 29.
26
What is the remainder when 6255 is divided by 330?
315
Calculate the remainder when 3864 is divided by 53.
48
Calculate the remainder when 17922 is divided by 127.
15
What is the remainder when 22770 is divided by 59?
55
What is the remainder when 390 is divided by 44?
38
What is the remainder when 948 is divided by 310?
18
What is the remainder when 486 is divided by 479?
7
Calculate the remainder when 299558 is divided by 463.
460
Calculate the remainder when 1274422 is divided by 475.
472
What is the remainder when 7530 is divided by 1862?
82
What is the remainder when 18348 is divided by 49?
22
Calculate the remainder when 11095 is divided by 72.
7
What is the remainder when 28528 is divided by 14253?
22
What is the remainder when 104742 is divided by 1541?
1495
What is the remainder when 14401 is divided by 600?
1
Calculate the remainder when 5680 is divided by 226.
30
Calculate the remainder when 151144 is divided by 8890.
14
Calculate the remainder when 11131 is divided by 121.
120
What is the remainder when 50379 is divided by 44?
43
What is the remainder when 12269 is divided by 132?
125
What is the remainder when 11564 is divided by 1918?
56
Calculate the remainder when 25466 is divided by 12632.
202
Calculate the remainder when 1031 is divided by 15.
11
What is the remainder when 31272 is divided by 436?
316
Calculate the remainder when 28798 is divided by 30.
28
What is the remainder when 63847 is divided by 420?
7
Calculate the remainder when 1221651 is divided by 609.
606
What is the remainder when 21178 is divided by 146?
8
Calculate the remainder when 18064494 is divided by 613.
610
Calculate the remainder when 190816 is divided by 1590.
16
What is the remainder when 219232 is divided by 109589?
54
Calculate the remainder when 35294 is divided by 41.
34
Calculate the remainder when 28604 is divided by 447.
443
What is the remainder when 203776 is divided by 52?
40
Calculate the remainder when 446423 is divided by 267.
266
What is the remainder when 112562 is divided by 717?
710
Calculate the remainder when 1115028 is divided by 677.
9
What is the remainder when 15938 is divided by 104?
26
What is the remainder when 5655 is divided by 91?
13
Calculate the remainder when 198347 is divided by 184.
179
Calculate the remainder when 126296 is divided by 31.
2
Calculate the remainder when 76559 is divided by 63.
14
Calculate the remainder when 6001 is divided by 2546.
909
What is the remainder when 15253 is divided by 246?
1
Calculate the remainder when 33059 is divided by 39.
26
Calculate the remainder when 182475 is divided by 50.
25
What is the remainder when 79887 is divided by 2276?
227
Calculate the remainder when 9769 is divided by 1623.
31
What is the remainder when 32224 is divided by 54?
40
What is the remainder when 285826 is divided by 70?
16
Calculate the remainder when 43515 is divided by 240.
75
What is the remainder when 56376 is divided by 50?
26
What is the remainder when 18634 is divided by 1863?
4
Calculate the remainder when 26398 is divided by 852.
838
Calculate the remainder when 55960 is divided by 7994.
2
Calculate the remainder when 55270 is divided by 422.
410
What is the remainder when 14040 is divided by 3109?
1604
What is the remainder when 41982 is divided by 115?
7
What is the remainder when 86476 is divided by 29?
27
Calculate the remainder when 3637 is divided by 1205.
22
Calculate the remainder when 17925 is divided by 13.
11
What is the remainder when 124499 is divided by 92?
23
What is the remainder when 4149 is divided by 375?
24
Calculate the remainder when 5492 is divided by 5363.
129
Calculate the remainder when 13745 is divided by 4567.
44
What is the remainder when 25092 is divided by 1792?
4
Calculate the remainder when 44420 is divided by 36.
32
Calculate the remainder when 36604 is divided by 28.
8
What is the remainder when 24371 is divided by 1620?
71
Calculate the remainder when 14472 is divided by 188.
184
Calculate the remainder when 9967 is divided by 1236.
79
Calculate the remainder when 3089 is divided by 703.
277
What is the remainder when 151714 is divided by 28?
10
What is the remainder when 5641 is divided by 5618?
23
What is the remainder when 5952 is divided by 1189?
7
What is the remainder when 2366 is divided by 103?
100
What is the remainder when 27699 is divided by 325?
74
Calculate the remainder when 2755002 is divided by 849.
846
What is the remainder when 55407 is divided by 827?
825
Calculate the remainder when 213500 is divided by 167.
74
What is the remainder when 3383 is divided by 44?
39
What is the remainder when 1393 is divided by 149?
52
Calculate the remainder when 2379 is divided by 822.
735
What is the remainder when 5565 is divided by 36?
21
Calculate the remainder when 20802 is divided by 110.
12
Calculate the remainder when 27110 is divided by 1042.
18
Calculate the remainder when 14879 is divided by 14725.
154
Calculate the remainder when 6497 is divided by 75.
47
Calculate the remainder when 21384 is divided by 519.
105
Calculate the remainder when 277436 is divided by 92475.
11
Calculate the remainder when 2392 is divided by 57.
55
What is the remainder when 1051 | {
"pile_set_name": "DM Mathematics"
} |
- 55. Let b(f) = 2*f**3 - 37*f**2 + 2*f + 28. Let z(x) = -9*b(x) - 4*o(x). Is z(-15) a prime number?
True
Suppose -12 = -9*y + 6*y. Suppose 5*x - 165 = -5*h - 15, -y*h + 3*x = -134. Suppose -h*d + 36*d = 3356. Is d prime?
True
Suppose 2*v = -5*y + 44958, 0 = 2*y - 8. Is v a composite number?
False
Suppose 43*o - 20 = 38*o. Suppose 2*q = -o*h + 1006, -3*q + h = -3*h - 1509. Let p = 1138 - q. Is p composite?
True
Let i(q) = 12*q + 92. Let p be i(-8). Is 3333 - (1 + (-15)/(20/p)) a prime number?
True
Suppose 0 = 14*y - 1710 - 810. Let d(k) = -k**2 + 2*k + 8. Let f be d(-2). Suppose z - 5*z - i = -225, -3*z + 3*i + y = f. Is z a composite number?
True
Let y be -5 + (-176)/(-40) - (-1198)/5. Let c = 1306 - y. Is c prime?
False
Suppose -m = -4*o + 27, 0 = -5*o - 0*o + 3*m + 39. Suppose -o*l = -24*l + 230094. Is l prime?
False
Let i = 59884 + 108195. Is i composite?
True
Let d = -6 - -18. Suppose 4 = -0*i - 2*i, -2*k = -3*i - d. Let b(j) = 315*j + 8. Is b(k) a prime number?
True
Let i(d) = d - 1. Let q(y) = 101*y**2 + 5*y + 11. Let m(s) = 4*i(s) + q(s). Let h(p) be the first derivative of m(p). Is h(1) a prime number?
True
Suppose x - 19 = 3*h, 0*h - 4*h - x - 23 = 0. Let m(y) = 64*y**2 - 3*y + 14. Let l be m(h). Suppose 7*b - 23917 + l = 0. Is b prime?
True
Let l = -9389 + 16440. Is l a composite number?
True
Is 5/(100/(-8)) - (-7)/(-70)*-3269654 prime?
False
Let t(c) = 120*c**3 - c**2 - 3*c + 5. Let k be t(2). Suppose 7*d + k + 662 = 0. Let n = d + 442. Is n composite?
False
Let s(l) = -l**3 - 10*l**2 - 10*l - 1. Let b be s(-9). Suppose -c + b*c - 14 = 0. Suppose 1052 = -c*x + 6*x. Is x prime?
True
Suppose 58*u + 39*u - 1713048 = 73*u. Is u a composite number?
True
Suppose -2*f + 2 = 2*x + 2*f, -2 = -2*f. Let i(n) = -4*n - 1. Let p be i(x). Suppose -2387 = p*h - 15650. Is h a prime number?
True
Let s(d) be the first derivative of -d**3/3 - 11*d**2 - 8*d + 189. Is s(-7) a composite number?
False
Let p(t) = 2*t**2 + 14*t + 12. Let b(f) = 3*f**2 + 15*f + 13. Let h(z) = 4*b(z) - 5*p(z). Let w be h(13). Suppose 617 - w = n. Is n prime?
False
Let s(b) = b**2 + 3*b + 3. Let m be s(-2). Let t(n) = 2128*n**2 - n + 2. Is t(m) a composite number?
False
Let q(g) = 6*g**2 - g + 15*g**3 - 6873 - 4*g + 6872. Is q(3) prime?
True
Suppose 0 = 3*t - 7*f + 6*f + 23, -5*t - 4*f - 27 = 0. Let v(w) = -27*w**3 - 3*w**2 + 27*w + 82. Is v(t) prime?
True
Let s(n) = -35*n - 7. Let l(y) = -1. Let g(h) = 3*l(h) - s(h). Let r be 6/14 + (44/28 - 0). Is g(r) a prime number?
False
Let j(p) = -p**3 + 24*p**2 + 52*p - 16. Let o be j(26). Let f(t) be the second derivative of t**4/3 + 13*t**3/6 + 37*t**2/2 - 3*t. Is f(o) a prime number?
True
Let f = 15408 - 3148. Suppose -f = -2*l - 2*j, 0 = 5*l - j - 23892 - 6782. Is l prime?
False
Let t = -48 - -85. Suppose 41*p - 17312 = t*p. Is (p/(-32))/((-15)/12 + 1) a composite number?
False
Is (13970/165 - 83) + -1 + (-3715310)/(-6) prime?
False
Let h = 94 + -92. Suppose -4*l = h*b - 146, 7*l - 4*b = 2*l + 189. Suppose 34*w - l*w = -57. Is w prime?
True
Suppose -1828626 = 64*a + 38*a - 49607568. Is a composite?
False
Let s be 6/(3 - 9) + 222. Let u = 378 - s. Is u a prime number?
True
Let o(k) = 11*k**2 + 2*k - 3. Let q be (128/(-20))/((-3)/60) + 4. Let y = q - 138. Is o(y) a prime number?
False
Suppose 0 = 4*x + 4*f + 120860, -19 = -3*f - 4. Let q = x - -45381. Is q composite?
False
Suppose 36*g + 492530 = 46*g. Is g a composite number?
False
Is (-56)/112*(-76138)/1 prime?
True
Let x(i) = 244*i**3 + 13*i**2 - 48*i - 28. Is x(9) composite?
False
Let p(b) = -10*b - 26. Suppose -6*h + 7 - 67 = 0. Is p(h) a composite number?
True
Let u = -340 - -448. Suppose 781 = -u*a + 109*a. Is a a composite number?
True
Suppose 35270 = 2*y + u, 70520 = 4*y + u - 4*u. Suppose -14456 = -2*o - 5*w - 2678, 3*o - y = w. Is o prime?
True
Suppose 497*r = 260*r + 55611339. Is r prime?
False
Suppose -8*z - 58669 = 5*z. Let s = z + 15266. Is s prime?
True
Let b(h) = -2395*h - 894. Is b(-11) composite?
True
Let t(d) be the third derivative of 71*d**5/30 + 7*d**4/24 + 3*d**3/2 - d**2 + 13. Is t(4) prime?
True
Suppose -2*c = 2*c - 5*m - 105, 3*c = -4*m + 102. Suppose -c*u - 4*u + 322558 = 0. Is u a composite number?
True
Let k(c) = 1073*c**2 - 4*c - 3. Let z be k(-1). Let g = -211 + z. Is g prime?
True
Let q(k) = -19*k**3 + 13*k**2 - 241. Is q(-13) a composite number?
True
Let q be -7 - 1012*2/4. Let z(m) = m**3 - 11*m**2 + 14*m - 12. Let w be z(10). Let o = w - q. Is o prime?
True
Let v = 10549 - 9038. Is v prime?
True
Let g = 12 + 0. Suppose 0 = -3*a - p - 492, -16*a - 5*p - 150 = -15*a. Is 10*a/g*(-6)/15 a prime number?
False
Let m(p) = 2*p**2 + 6 + 3*p - 16 - 3*p - 4*p. Let k be m(8). Let z = -27 + k. Is z a composite number?
False
Suppose -2*a + 35*c - 32*c = -103256, -5*a + 258147 = -4*c. Is a composite?
False
Let h(u) = -u**2 - 7*u - 4. Let c be h(-5). Suppose 1678 = c*y - 224. Let m = y - -150. Is m a prime number?
True
Let x(g) = 1542*g - 35. Suppose -5*q + 39 = 3*r, -2*r = -30*q + 25*q - 1. Is x(r) a composite number?
False
Suppose 5*s = -2*f + 18 - 80, 2*s + 20 = -2*f. Let p(i) = -i**2 - 42*i + 3. Let y(t) = 2*t**2 + 120*t - 11. Let w(h) = -11*p(h) - 4*y(h). Is w(s) prime?
False
Suppose 0 = s + s + 3*s. Let x(y) = -y**3 + y**2 - 11*y + 31829. Is x(s) a composite number?
True
Suppose z + 3*z = -8. Let r be 3 + z + 0 + -1. Let u(k) = k + 209. Is u(r) a prime number?
False
Is 2/9 - (3 + (-14838648)/54) composite?
False
Let y be 1 + ((-102)/(-8))/(18/6864). Suppose 4*k - 20 = 0, 0 = 3*n - 3*k - y - 32475. Is n prime?
True
Let g(j) = 24155*j**2 + 23. Is g(-2) a composite number?
False
Let a(v) = -17 - 117*v + 8*v + 40*v. Let u = -6 + 0. Is a(u) composite?
False
Let b be (-11 - -2) + -10 + 9. Is (-10326)/4*7/(105/b) a prime number?
True
Suppose 0 = -2*k - 0*k + 28. Let o be k/91 - (1 + 76/(-13)). Suppose 4*c = 3*g - c - 881, -o*c - 1168 = -4*g. Is g composite?
True
Let h be 2/(4*1/8). Suppose 3*x + 1521 = 5*l, l = -l - h*x + 598. Is l prime?
False
Suppose -5*u = -2*w - u - 1778, -w = 3*u + 879. Let s be w/(-6)*112/35. Suppose 3*d - a + s - 1936 = 0, d - 3*a - 496 = 0. Is d composite?
False
Let b be 0 + 6*(-687685)/(-30). Suppose -17425 = 16*v - b. Is v prime?
True
Suppose 0 = 3*c + 15, 2*c + 381 = -5*f + 61. Let a = 67 + f. Suppose 0 = 3*n + 1 + 2, 0 = -3*w + a*n + 4088. Is w composite?
False
Suppose 938*t + 350521 + 1040861 = 956*t. Is t composite?
True
Let l(r) = -r**3 - 3*r**2 + 8*r + 8. Let w be l(-6). Suppose 12*i + w + 124 = 0. Let n(g) = -33*g - 1. Is n(i) prime?
False
Suppose -27 = -3*h + 36. Let p(x) = -x**3 + 21*x**2 + 4. Let i be p(h). Suppose 1612 = i*k + 84. Is k a composite number?
True
Suppose -6*y = 5 - 83. Suppose 0 = y*b - 54185 - 5433. Suppose -11*g = -14739 + b. Is g a prime number?
False
Let f(t) = -t**2 + 7*t - 5. Let q be f(4). Suppose -3*y - 3*v + 3 = 0, 2 = 41*v - 39*v. Suppose -q = -4*n - 23, y = o + n - 1357. Is o composite?
False
Let n(w) = -w**3 - 14*w**2 - 25*w. Let m be n(-12). Suppose m*c + 18 = 9*c. Let z(v) = v**3 + 10*v**2 + 2*v - 5. Is z(c) a prime number?
True
Let n be (1 - -14)*3/9. Suppose 4*h - 1754 - 12363 = -3*a, n*h = 4*a - 18802. Is a composite?
False
Let w(n) = 24*n**3 - 16*n**2 - 43*n + 1. Let j be w(-5). Let p = 5493 + j. Is p a composite number?
False
Suppose s = 3*p - 35991 + 11117, -5*s = 3*p - 24850. Let b = -2993 + p. Is b a composite number?
False
Let f = 1625 + 14628. Is f a composite number?
False
Suppose -3*b = -w + 24 - 353, 4*w + 428 = 4*b. Suppose -b = -c + 1615. Is c a composite number?
True
Is (-19815790)/(-35) + 20/70*(-6)/4 a composite number?
True
Suppose 5*q - 10*q = 3*d + 370, -5*q - 5*d - 380 = 0. Let a = -66 - q. Suppose a*v = -5*o + 1360 + 1120, -5*o = -3*v + 1512. Is v prime?
True
Let s be ((-5420)/(-8))/((-55)/(-44)). Suppose 170 = 3*m + 1154. Let j = s + m. Is j a prime number?
False
Let w = 20245 - 13662. Is w composite?
True
Let g(p) = 136*p**3 + p**2 + 3*p + 2. Let b be g(-1). Let x = b + 210. Is x a prime number?
False
Let p = 118450 + 89005. Is p composite?
True
Suppose -554*l + 3344091 = -549*l - 2*a, -2*a - 2675270 = -4*l. Is l a composite number?
False
Let o(u) = -u**2 - 7*u - 14. Let v be o(-7). Let m(w) = -12*w + 19. Let h(b) = -23*b + 37. Let y(c) = 4*h(c) - 7*m(c). Is y(v) prime? | {
"pile_set_name": "DM Mathematics"
} |
-39*y + 31*y + 15 - 8 + 12. Let t be n(2). Solve 2*i - t*q - f = -0, -2*i + 10 = -2*q for i.
5
Suppose 2*x - 2 = -0, y - 3 = -3*x. Suppose y*j - 5*j = -20. Suppose 23 + 1 = j*o. Solve 6*b - 5*a = 3*b + o, 3 = 2*b - 3*a for b.
-3
Let x = -15879 - -15889. Solve 3*s - 13*f - 18 = -x*f, -4*s - f = -9 for s.
3
Suppose -5*d = -10, 2*i + 0*i + 10 = 2*d. Let t be (-1)/((-10)/(-4) + i). Suppose -5*k - 32 - 12 = -27*k. Solve t*x - 5*f = -x + 32, -12 = -x + k*f for x.
4
Suppose 204*h = 219*h. Solve -20 = 4*a, -4*z + 2*a - 7 + 21 = h for z.
1
Let b(q) = -8*q + 148. Let g(w) = 19*w**3 - w. Let p be g(1). Let h be b(p). Solve v - 14 = 3*n, h + 2 = -2*n - v for n.
-4
Suppose 3*s = 85 - 13. Suppose 7*u = 11 + s. Solve u*v + 3*n = -5, v - 3*n = -2 + 1 for v.
-1
Let w(i) = 2*i + 12. Let j(c) = -4*c + 14. Let x be j(5). Let m be w(x). Solve -5*f = -0*q - q + 21, 4*f - 5*q = m for f.
-5
Let z = -112 - -176. Suppose 59 - z = -y. Solve u = 4*s + 4*u - 13, 5*u - 20 = -y*s for s.
1
Let s = 541 - 539. Suppose -1 = 5*u + 4, -s*u - 10 = -4*i. Solve -h + i = 0, -3*h + 23 = 5*m + h for m.
3
Let y be (4*-1)/((-8)/12). Let i be 1*((-297)/36*8/(-6) - 9). Solve 0 = 4*l + i*u + 3*u + y, -u - 2 = 0 for l.
1
Let a be -7*(1 - -6)*(1 - 0). Let o = 53 + a. Solve -2*n + 3*d = o + 1, -2*d + 12 = 3*n for n.
2
Suppose 123*b - 79*b = 792. Solve 4*s = 5*w + b, 3*s + 4 = -8*w + 3*w for w.
-2
Suppose 8*h - 4*s = 4*h + 760, -8 = -2*s. Let i = -186 + h. Solve 2*c = 3*p + p + 2, 2*p = -2*c + i for c.
3
Suppose -2*r - 13 = 19. Suppose 5*m - 13 = 6*b - 3*b, 0 = -2*b - 3*m - 15. Let w be (b - -2)*28/r. Solve -c - 2*o - 16 = -w, 4*c = 4*o - 12 for c.
-5
Let o = -126 + -57. Let k = -121 - o. Suppose 5*d + 2*b - k = 0, -2*d = 3*b - 8 - 8. Solve 3*u = -x - 10, x - d = 5*u + 8 for u.
-4
Let j(i) = -i**2 - 36*i + 975. Let f be j(18). Solve -q - d + 5 = 0, 6*d - 13 = f*q + 2*d for q.
1
Suppose 19*c - 12*c - 14 = 0. Suppose -c*r + 10 = -30. Suppose -y - 2 = -3*n, -3*y + 4*n - r = -6*y. Solve 0 = y*x + 4*m, -8 = -2*x + 7*x + 3*m for x.
-4
Let x = -14110 + 14113. Solve 15 = -3*c, -c - 2*c = x*u + 21 for u.
-2
Suppose -5*n + b = -3234, 0 = -n - b + 248 + 394. Let j = n - 628. Suppose 0*z = 3*z - 9. Solve -z*o + j = y + 4, -4*o = 3*y - 22 for y.
2
Let r(b) = 3 + 3399*b - 3397*b + 1. Suppose 27*x + 24 = 33*x. Let n be r(x). Solve u - n = 4*s, 0 = -4*u + u - s - 16 for u.
-4
Let t(q) = 9*q + 3. Let y = -27 - -27. Let j be t(y). Solve -3*i = -3, j*i + 1 = -4*w - 0 for w.
-1
Let g(i) = 8*i - 301. Let y be g(36). Let p(w) = -21*w - 244. Let q be p(y). Solve 0 = -4*b + 2*o - 7*o - q, 2*o = -4*b - 14 for b.
-1
Let w(l) = 2*l**3 + 40*l**2 + l + 20. Let v be w(-20). Suppose -13*f + 0*f = v. Solve 3*m + 3*k + 2*k = -40, 4*m + k + 25 = f for m.
-5
Let o = 7140 - 7137. Solve 5*y + 19 = o*u, -80*u + 77*u + 9 = 0 for y.
-2
Let m(s) = 2*s**3 - 23*s**2 + 13*s. Let i be m(11). Let d(t) = 2*t**2 - 41*t - 54. Let l be d(i). Solve -4*y = 4*b - 32, -4*y = b - 7*y + l for b.
3
Suppose 12*s = -0 - 24. Let v(l) = -4*l + 4. Let g be v(s). Solve 5*k + 4*i - 8 - g = 0, -i = -3*k - 5 for k.
0
Let a be 13/4 + 1/(-4). Suppose -32*h + 109 = 98*h - 281. Solve -i + 5 = 5*w + 4*i, 27 = a*w - h*i for w.
5
Let z be 30/(100/55 - (-4 - 294/(-77))). Solve 2*s = 2*a + 6, 5*a + 114*s + z = 117*s for a.
-3
Let m be (1 - (-8)/(-3))*-3. Let p be 6848/352 - 24/(-44). Let b = 57 + -57. Solve 5*z = -i - 12, p = -b*z - 5*z - m*i for z.
-2
Let g be (23 + -13)*(-2)/(-4). Suppose -3*u - 5*s = -10*s - 41, -g*u = 5*s - 95. Solve 3*h + 6 - 19 = -4*w, 3*h = -5*w + u for w.
4
Let n be 0*2*(-6)/48*2. Suppose -23*t + 4*u = -22*t - 3, n = -t - 3*u + 10. Solve y = -2*w + t*w - 19, 3*y = -4*w for w.
3
Let u(z) = -11*z - 40. Let d be u(6). Let a = -102 - d. Suppose 2*y = 2*x - 18, 3*x + a*y + 5 = -3. Solve 3*f + x*w + 29 = 0, -3*f - 5*w - 27 = 7 for f.
-3
Suppose -3*n - 6 = -2*k, -5*n + 0*n = 0. Suppose -k*y - y = -20. Suppose 0 = 2*s + 2*b - 54, -5*b - 93 = -y*s - 8. Solve 2 = 5*d + 5*f + s, -2*f - 2 = 0 for d.
-3
Suppose 2*v = -3*r - 60, -5*v = -4*r + 1 + 103. Let b(z) = 5*z + 140. Let s be b(v). Solve d = 4*o - s, 0*o - 2*o = d - 10 for d.
0
Let m(t) be the third derivative of t**4/12 + 17*t**3/6 - 17*t**2. Let y be m(-6). Solve 0 = -2*n - 3*o + 7, 4*n - o - 16 = y for n.
5
Suppose -j + 4*f + 5 = -3, -2*j = 5*f + 10. Let o be (-6 - -2) + 2/((-6)/159). Let c = o - -61. Solve -2*d + c*k = -10, 5*k + 35 = -2*d - j*k for d.
-5
Let u(m) = -m**3 - 45*m**2 - 323*m + 59. Let j be u(-36). Solve 4*h - 5*t = -j, -h = h - 2*t + 10 for h.
-2
Suppose 1 = -7*n + 15. Suppose n*y - 10 = -4. Suppose 0 = -y*o - o + 12. Solve 3*g = -4*h + 1, 8*h - o*h + 13 = g for h.
-2
Let a(x) = 2*x**2 - 18*x + 8. Let j be a(9). Suppose 160 = 2*w + j. Suppose -i - w + 80 = 0. Solve g + i = 4*m - 3, -5*m = g - 11 for m.
2
Let w(u) = u**2 + 79*u - 1973. Let c be w(20). Solve c*b - 8*b - 5 = 0, m = -b - 10 for m.
-5
Suppose -8 = -8*b, 3*j - j - 4 = 4*b. Solve -2*a - 28 + 20 = j*i, -5*i - 10 = 0 for a.
0
Let m(r) = 63 + 33*r - 13*r - 16*r. Let i be m(-12). Solve -w + 0*v + 5 = v, 2*v + i = 3*w for w.
5
Let d(s) = -s**2 - 9*s + 25. Let v be d(-11). Suppose -2*m = 10, -9*m - 430 = 3*p - 4*m. Let l = p + 139. Solve -v*r - 2*y - 2 = 0, -r - 18 = y + l*y for r.
2
Suppose t - 66 + 27 = 0. Let d = t + -38. Suppose d = 2*p - 3. Solve w - 3*v = -p, 5*w - w + v = -8 for w.
-2
Let o = -924 + 949. Solve 5 = -s - 2*y, -5*s - o = -0*s - 3*y for s.
-5
Let u = 235 - 235. Solve u = -3*g + 9*o - 7*o - 2, 4*g - 5*o - 9 = 0 for g.
-4
Let h be (78/(-36))/13 + (-34)/12. Let f be -16 + 11 + h/6*-10. Solve 3*k - 5*r = 2*k - 7, 5*k + 2*r - 19 = f for k.
3
Let t = -179 - -173. Suppose 0 = -z - 2*m + 9, 3*z - 8*m = -3*m + 60. Let j be 50/z - (2 - (-10)/t). Solve 5*s - 7 + 2 = -5*v, 5*v = -4*s + j for v.
-1
Let l be (-1151)/(-6) - (-2 + 33/18). Suppose 2*g = -4*g + l. Suppose 0 = -13*z - 3*z + g. Solve -5*n - 4*r + 9 = 0, -z*n = 2*n - 4*r for n.
1
Suppose 2*r - 5*x = 5, -3*r - x + 21 = r. Solve 0 = -31*n + 32*n + 2, 0 = -5*c - r*n + 5 for c.
3
Suppose -15 = -2*o + 3*x, -3*x = -5*o + 17 + 7. Suppose 0 = -4*s + 20, o*v - 2*s + 7*s - 37 = 0. Solve -3*g + 2*h = -5, -2*h - 20 = -2*g - v*h for g.
5
Suppose 5*l - 2*z - 15 = 0, -5*l - 5*z + 2 = -13. Let s be (-140)/8*(-44)/55. Suppose -l*n + s*n = n. Solve 2*u = n, 20 = 5*q + 6*u - 2*u for q.
4
Let p = 3846 - 3843. Solve -p*w - 2*d - 3 = 0, 4*w + 2*d = 5*w - 7 for w.
1
Let a(p) = -p**3 + 21*p**2 - 19*p + 28. Let s be a(20). Let k = s - 48. Suppose 5*u - u - 48 = k. Solve 3*o - o - 2 = 0, -u = 2*t - 2*o for t.
-5
Let r(s) be the third derivative of -s**4/24 + s**3/2 + 9*s**2. Let z be r(-1). Let o = 142 - 117. Solve -3*b - 16 = -4*b + z*v, -3*v = -4*b + o for b.
4
Suppose 3*m = 26 + 13. Suppose 13 = m*a - 13. Solve -a*c = 4*k + 10, 5*k + 35 = 4*c + c for c.
3
Suppose -2*x + a + 8 = 0, 3*a = -x - a + 13. Let o = 18 + -16. Let n(y) = -y**2 + 2*y. Let c be n(o). Solve c = 2*l - 0*l - 10, 0 = x*h - 5*l + 45 for h.
-4
Suppose -5*q - 637 + 50 = -3*l, -5*l - q = -1025. Let b = l + -200. Solve -o - 2*o = 0, -b*c + 5*o + 20 = 0 for c.
5
Suppose 146 = 80*m - 7*m. Solve -h + m*w + 0 = -13, -4*w = 3*h + 11 for h.
3
Suppose 116 = 13*u + 12. Suppose 4*w = u*w - 20. Solve -5*a = 2*t - 4*t + 3, -5*t = -w*a - 15 for t.
4
Suppose -4*j + 3*f + 492 = 0, -6*j = -j - 3*f - 612. Suppose -14*w = -8*w - j. Let u be 2*-6*(-5)/w. Solve -5*t = -z - 13, 4*t - z - u*z = 4 for t.
3
Let p = -71 + 75. Let t(o) = -o**3 - 18*o**2 - o - 15. Let a = -33 - -15. Let q be t(a). Solve 5*x - p*r = 1, -3*x - 5 = -q*r + 2*r for x.
-3
Suppose s + 7 = -2*r, -s = 3*r - 0*r + 10. Let g(o) = -11*o - 9. Let u be g(s). Solve 4*w - 8 = -2*i, u*w = -4*i - 1 - 7 for w.
4
Suppose 4 = -6*l - 56. Let m be -5*(-4 - 28/l). Solve 0 = -3*u - 4*h - h + m, 2*u - 4 = -4*h for u.
2
Suppose -4*t + h = -3*h - 44, 4*h + 17 = t. Let f = 49 - 47. Suppose i = w + 3 - 2, -f = -2*w. Solve -a = -2*l - 6, 0*a = -l + i*a - t for l.
-1
Let p(q) = q**3 - 37*q**2 + 73*q - 3. Let c be p(2). Suppose 4 - 1 = j. Solve r + c = x + 4, 3*x + j = 0 for r.
0
Let o = -7547 - -7558. Solve 25*h + 26 = 27*h - 4*p, 5*h - o = p for h.
1
Let h = -95 - -98. Suppose 5*b + 19 = h*f, 4*f + 4 = 6*f + b. Solve -4*i + 3 = -a - 2, 5*a + 25 = f*i for i.
0
Let g be (-5 + 20)*(-1 + 2). Su | {
"pile_set_name": "DM Mathematics"
} |
774544033 to the nearest integer?
1794
What is the third root of 362038232 to the nearest integer?
713
What is 1541026419 to the power of 1/7, to the nearest integer?
21
What is the fourth root of 701510446 to the nearest integer?
163
What is the third root of 65934543 to the nearest integer?
404
What is the ninth root of 3786833204 to the nearest integer?
12
What is the third root of 2889333 to the nearest integer?
142
What is the cube root of 1673437364 to the nearest integer?
1187
What is the square root of 100073072 to the nearest integer?
10004
What is the ninth root of 116723182 to the nearest integer?
8
What is 615832061 to the power of 1/2, to the nearest integer?
24816
What is the square root of 176799021 to the nearest integer?
13297
What is 13770971 to the power of 1/2, to the nearest integer?
3711
What is the sixth root of 3566812114 to the nearest integer?
39
What is 421096647 to the power of 1/7, to the nearest integer?
17
What is 26100312 to the power of 1/8, to the nearest integer?
8
What is 9965118 to the power of 1/2, to the nearest integer?
3157
What is 2698370535 to the power of 1/8, to the nearest integer?
15
What is the square root of 1397945664 to the nearest integer?
37389
What is 955883 to the power of 1/4, to the nearest integer?
31
What is 123675320 to the power of 1/2, to the nearest integer?
11121
What is the tenth root of 1868049898 to the nearest integer?
8
What is the fourth root of 2062357931 to the nearest integer?
213
What is 1342653963 to the power of 1/3, to the nearest integer?
1103
What is 684510731 to the power of 1/2, to the nearest integer?
26163
What is the tenth root of 166364213 to the nearest integer?
7
What is 98339479 to the power of 1/8, to the nearest integer?
10
What is 9462488 to the power of 1/3, to the nearest integer?
212
What is 32282880 to the power of 1/9, to the nearest integer?
7
What is 1139785871 to the power of 1/3, to the nearest integer?
1045
What is the sixth root of 51431936 to the nearest integer?
19
What is 1738633836 to the power of 1/6, to the nearest integer?
35
What is 3419779129 to the power of 1/4, to the nearest integer?
242
What is the square root of 278118692 to the nearest integer?
16677
What is the cube root of 3382991815 to the nearest integer?
1501
What is the third root of 31130653 to the nearest integer?
315
What is 69858942 to the power of 1/3, to the nearest integer?
412
What is 626190234 to the power of 1/10, to the nearest integer?
8
What is the tenth root of 3704854529 to the nearest integer?
9
What is the square root of 501874428 to the nearest integer?
22403
What is 307532907 to the power of 1/4, to the nearest integer?
132
What is the square root of 66242732 to the nearest integer?
8139
What is the cube root of 46358774 to the nearest integer?
359
What is the third root of 780155847 to the nearest integer?
921
What is 207290003 to the power of 1/3, to the nearest integer?
592
What is 397450432 to the power of 1/2, to the nearest integer?
19936
What is 121264915 to the power of 1/2, to the nearest integer?
11012
What is the square root of 5162296540 to the nearest integer?
71849
What is the square root of 471882487 to the nearest integer?
21723
What is 517796127 to the power of 1/7, to the nearest integer?
18
What is 479693038 to the power of 1/3, to the nearest integer?
783
What is the third root of 2892443382 to the nearest integer?
1425
What is 2087837379 to the power of 1/3, to the nearest integer?
1278
What is 366955621 to the power of 1/2, to the nearest integer?
19156
What is 5722347582 to the power of 1/2, to the nearest integer?
75646
What is the fourth root of 43800886 to the nearest integer?
81
What is the third root of 388908203 to the nearest integer?
730
What is 111004747 to the power of 1/2, to the nearest integer?
10536
What is the eighth root of 751649786 to the nearest integer?
13
What is the fifth root of 616161145 to the nearest integer?
57
What is the third root of 61593297 to the nearest integer?
395
What is the square root of 3440066710 to the nearest integer?
58652
What is 571837137 to the power of 1/2, to the nearest integer?
23913
What is 11303748 to the power of 1/6, to the nearest integer?
15
What is 824005767 to the power of 1/2, to the nearest integer?
28706
What is the cube root of 17767593 to the nearest integer?
261
What is 2199889035 to the power of 1/2, to the nearest integer?
46903
What is the seventh root of 38740707 to the nearest integer?
12
What is 7392765 to the power of 1/5, to the nearest integer?
24
What is 574338608 to the power of 1/2, to the nearest integer?
23965
What is the cube root of 141493725 to the nearest integer?
521
What is 7081885856 to the power of 1/3, to the nearest integer?
1920
What is the square root of 92548987 to the nearest integer?
9620
What is 144831264 to the power of 1/3, to the nearest integer?
525
What is 150133048 to the power of 1/8, to the nearest integer?
11
What is 502699395 to the power of 1/3, to the nearest integer?
795
What is 657596553 to the power of 1/9, to the nearest integer?
10
What is the third root of 3002340374 to the nearest integer?
1443
What is the cube root of 295262301 to the nearest integer?
666
What is the sixth root of 18181288 to the nearest integer?
16
What is 15731017 to the power of 1/2, to the nearest integer?
3966
What is 695301050 to the power of 1/4, to the nearest integer?
162
What is 5199896621 to the power of 1/2, to the nearest integer?
72110
What is the cube root of 234750961 to the nearest integer?
617
What is the third root of 732661146 to the nearest integer?
902
What is 245527656 to the power of 1/10, to the nearest integer?
7
What is 27900716 to the power of 1/5, to the nearest integer?
31
What is the sixth root of 4812648 to the nearest integer?
13
What is the third root of 1637363938 to the nearest integer?
1179
What is 134144054 to the power of 1/7, to the nearest integer?
14
What is the third root of 64637194 to the nearest integer?
401
What is the cube root of 449109930 to the nearest integer?
766
What is 235992047 to the power of 1/10, to the nearest integer?
7
What is 50155794 to the power of 1/8, to the nearest integer?
9
What is 43989590 to the power of 1/4, to the nearest integer?
81
What is 80489462 to the power of 1/4, to the nearest integer?
95
What is the square root of 780758720 to the nearest integer?
27942
What is the seventh root of 88841075 to the nearest integer?
14
What is 128417119 to the power of 1/2, to the nearest integer?
11332
What is 28777668 to the power of 1/9, to the nearest integer?
7
What is 197993389 to the power of 1/3, to the nearest integer?
583
What is the third root of 4474779305 to the nearest integer?
1648
What is 134208289 to the power of 1/3, to the nearest integer?
512
What is the square root of 1091328415 to the nearest integer?
33035
What is the square root of 15504294 to the nearest integer?
3938
What is the third root of 144882388 to the nearest integer?
525
What is the third root of 917465574 to the nearest integer?
972
What is the cube root of 175650113 to the nearest integer?
560
What is the eighth root of 4996746592 to the nearest integer?
16
What is the fourth root of 2238756449 to the nearest integer?
218
What is 60331027 to the power of 1/5, to the nearest integer?
36
What is the square root of 65656863 to the nearest integer?
8103
What is the cube root of 4429799 to the nearest integer?
164
What is the third root of 9762901 to the nearest integer?
214
What is the cube root of 155352918 to the nearest integer?
538
What is 63636769 to the power of 1/3, to the nearest integer?
399
What is 44605570 to the power of 1/2, to the nearest integer?
6679
What is the square root of 48412086 to the nearest integer?
6958
What is the square root of 72539849 to the nearest integer?
8517
What is 39499978 to the power of 1/4, to the nearest integer?
79
What is 786861402 to the power of 1/6, to the nearest integer?
30
What is 2508419764 to the power of 1/8, to the nearest integer?
15
What is the square root of 357898849 to the nearest integer?
18918
What is the cube root of 494821843 to the nearest integer?
791
What is the square root of 3265787807 to the nearest integer?
57147
What is the cube roo | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2*r + 4. Let h(n) = -204*n**3 - 19*n**2 + 9*n + 16. Let j(b) = 2*h(b) - 9*y(b). What is the third derivative of j(k) wrt k?
306
Let t(i) be the second derivative of -7*i**5/20 - 4*i**2 - 11*i. Differentiate t(r) with respect to r.
-21*r**2
Let d(b) be the first derivative of -b**7/210 + b**5/60 + 4*b**3/3 - 2. Let y(a) be the third derivative of d(a). What is the second derivative of y(q) wrt q?
-24*q
Let w(h) be the second derivative of h**7/420 + h**6/360 - h**3/6 + 2*h. Let l(i) be the second derivative of w(i). Find the third derivative of l(f) wrt f.
12
Let i(n) = -n**3 - 2*n**2 + 9. Let h(c) = -4*c**3 - 11*c**2 + 44. Let l(v) = 2*h(v) - 11*i(v). What is the derivative of l(y) wrt y?
9*y**2
Let o(n) be the second derivative of -n**4/12 - 4*n**3/3 + 3*n. Find the second derivative of o(z) wrt z.
-2
Let k(v) be the second derivative of -v**7/7 - v**3 + 4*v. What is the second derivative of k(w) wrt w?
-120*w**3
Let b = 21 - 29. Let d = -6 - b. What is the second derivative of -3*p - d*p + 2*p**3 - p + 5*p wrt p?
12*p
Let o(a) = 2*a - 3. Let m be o(3). Find the third derivative of -3*g**2 + 2*g**3 - g**3 - m*g**3 + g**2 wrt g.
-12
Let c(j) be the first derivative of -3*j**5/20 - j**3/2 + 6*j - 6. Let l(b) be the first derivative of c(b). What is the second derivative of l(d) wrt d?
-18*d
Suppose 2 = -4*w + 6*w. Find the first derivative of 3*u**3 - 9*u - w + 9*u wrt u.
9*u**2
Let i(y) be the first derivative of y**3/3 + y**2/2 - 2*y - 3. Let k(n) be the first derivative of i(n). What is the derivative of k(w) wrt w?
2
Let r(q) be the second derivative of -q**5/20 + 21*q**2/2 + q + 45. What is the derivative of r(l) wrt l?
-3*l**2
What is the second derivative of b - 11*b**3 - b**2 + 5*b + b**2 wrt b?
-66*b
Let x(o) = 5*o - 3. Let d(h) = 2*h - 1. Suppose -r = -8 + 4. Let g(c) = r*x(c) - 11*d(c). Find the first derivative of g(l) wrt l.
-2
Let j(k) = -3*k**2 + 5*k - 3. Let m(n) = -4*n**2 + 6*n - 3. Let s(u) = -6*j(u) + 5*m(u). Differentiate s(c) with respect to c.
-4*c
Let v be ((-2)/6)/((-1)/12). What is the third derivative of -3*s**4 + 11*s**v - 10*s**2 + 13*s**2 wrt s?
192*s
Let c(z) = -6*z**2 - 21*z + 7. Let s(i) = -7*i**2 - 22*i + 8. Let l(r) = 6*c(r) - 5*s(r). Find the first derivative of l(p) wrt p.
-2*p - 16
What is the second derivative of 2*o - 2*o**2 - 3*o - 2 + 50*o**3 - 10*o - 4*o wrt o?
300*o - 4
Let v(i) be the third derivative of -i**7/840 - i**5/120 - i**4/8 - 2*i**2. Let u(m) be the second derivative of v(m). What is the derivative of u(y) wrt y?
-6*y
Differentiate 10 - 26 + 4*h**2 + 18 wrt h.
8*h
What is the second derivative of -7*z - 4*z + 19*z + z**3 wrt z?
6*z
Let k(y) be the first derivative of 0*y + 0*y**4 + 1/5*y**5 - 1 + 2/3*y**3 + 0*y**2. Find the third derivative of k(a) wrt a.
24*a
Let x(q) = 2*q**3 - 3*q + 4. Let l(b) = -b. Let u(r) = 6*l(r) - 2*x(r). Differentiate u(n) with respect to n.
-12*n**2
Let s(w) = 5*w**3 - 6*w**2 - 6*w + 5. Let v(q) = 11*q**3 - 11*q**2 - 11*q + 10. Let i(h) = 11*s(h) - 6*v(h). Differentiate i(g) wrt g.
-33*g**2
Suppose 7 = a + 1. Suppose v + 3 = a. What is the derivative of -3*s**v - 1 + 2*s**3 + 2 wrt s?
-3*s**2
Find the second derivative of -4*o**2 - 4*o + 10*o - 21*o wrt o.
-8
Let a(z) = 2*z**3 + 4 - 3*z**2 + 0*z**2 - 1. Let o(i) = -i**3 + i**2 - i - 1. Let u(q) = a(q) + 3*o(q). What is the second derivative of u(c) wrt c?
-6*c
Let n(h) be the first derivative of 7*h**4/4 - 2*h**3/3 - 16. What is the third derivative of n(b) wrt b?
42
What is the third derivative of -8*f**2 + 2*f**2 - 12*f**5 - 4*f**2 wrt f?
-720*f**2
Find the third derivative of -9*z**6 + 313 - 313 - 11*z**2 wrt z.
-1080*z**3
Let g(w) be the second derivative of -w**6/5 + 5*w**2/2 - w. Differentiate g(j) with respect to j.
-24*j**3
Differentiate -3 - 13 + 0 + 12*d wrt d.
12
Let c(d) be the first derivative of 0*d**2 + 4*d - 2 + 3/2*d**4 + 0*d**3. Differentiate c(w) wrt w.
18*w**2
Let l(h) be the third derivative of -h**6/60 - h**5/5 + 17*h**2. What is the third derivative of l(x) wrt x?
-12
Suppose 0 = -5*p + 3*t + 9, 2*t + t = 6. Let n(q) = 2*q. Let z(a) = -1. Let j(f) = p*z(f) + n(f). Find the first derivative of j(b) wrt b.
2
What is the second derivative of -7*h + 7*h**5 + 2*h**5 - 2*h + 0*h wrt h?
180*h**3
Let x(p) = -p**6 + p**4 + p + 1. Let t(r) = 3*r**6 - r**4 - 17*r**2 - r - 1. Let u(y) = -2*t(y) - 2*x(y). What is the third derivative of u(f) wrt f?
-480*f**3
Let o(l) = -l**2 - 8*l - 5. Let c be o(-7). Find the second derivative of b**2 + 2*b + 0*b - 2*b**c + 0*b wrt b.
-2
Let g(n) be the first derivative of -44*n**5/5 - 12*n**2 + 16. What is the second derivative of g(b) wrt b?
-528*b**2
Let h(r) = -r - 1. Let n be h(-6). Suppose 5*c = f + 3*f + 5, 40 = n*f + 3*c. What is the third derivative of -f*w**5 + w**2 + 2*w**5 + 5*w**5 + 3*w**2 wrt w?
120*w**2
Let c(q) be the third derivative of -1/60*q**5 + 0*q**3 + 0*q**4 + 0 - q**2 + 0*q**7 + 1/112*q**8 + 0*q + 0*q**6. Find the third derivative of c(g) wrt g.
180*g**2
Let t(d) be the second derivative of d**4/6 - d**3/2 - 5*d**2/2 - 4*d. Let g(n) be the first derivative of t(n). Differentiate g(x) with respect to x.
4
Let l(q) be the first derivative of 6 - 3*q + 0*q**2 - 1/4*q**4 + 0*q**3. Differentiate l(o) wrt o.
-3*o**2
Let d(r) be the third derivative of -r**7/105 - r**4/8 - 10*r**2. What is the second derivative of d(o) wrt o?
-24*o**2
Let k(q) be the third derivative of -q**6/360 - q**4/12 - q**3/3 + 3*q**2. Let r(v) be the first derivative of k(v). Differentiate r(x) with respect to x.
-2*x
Let a(i) be the third derivative of 4*i**7/35 - 2*i**3 + 23*i**2. What is the first derivative of a(y) wrt y?
96*y**3
Let v(p) be the second derivative of -p**6/180 - p**5/30 + p**3/2 + 6*p. Let f(a) be the second derivative of v(a). Find the second derivative of f(c) wrt c.
-4
Let r be ((-20)/6)/(4/(-6)). Find the third derivative of 2*g**2 - 3*g**r - 4*g + 4*g + 2*g**2 wrt g.
-180*g**2
Let w(a) = -a**2 - 5*a - 2. Let i be w(-2). Differentiate 0 + i*k + 2 - 3 with respect to k.
4
Let o(c) be the first derivative of 14*c**6/3 - 10*c**2 + 44. What is the second derivative of o(j) wrt j?
560*j**3
Let m = -22 + 16. Let q(u) = u**3 + 7*u**2 + 5*u - 2. Let r be q(m). What is the second derivative of 2*y**4 + 0*y**r - 15*y + 13*y wrt y?
24*y**2
Let g(z) = z**3 - z**2 - z + 3. Suppose 0*u = u. Let t be g(u). Find the second derivative of -4*m + 2*m + 0*m + 3*m - t*m**3 wrt m.
-18*m
Let w(a) = 8*a + 20. Let q(b) = -7*b - 20. Let v(g) = 7*q(g) + 6*w(g). Differentiate v(r) wrt r.
-1
Suppose 3*a = -0*a. Let u(k) = -k - 4. Let z be u(-6). Find the second derivative of j - z*j + j**3 + a*j wrt j.
6*j
Differentiate 10 - 13*a**2 + 5*a**2 + 6*a**2 wrt a.
-4*a
Let s(u) be the second derivative of u**3/6 - 7*u**2/2 + u. Let y be s(7). Find the second derivative of y*h**2 + 3*h**2 - h**2 + h wrt h.
4
Let b be 5*(24/(-15) + 2). Let n = 0 + b. What is the derivative of 3 - 4 + n + 2*i**4 wrt i?
8*i**3
Let r(p) = 13*p**3 + 9*p**2 - 4*p - 4. Let x(g) = g**3 + g**2 - g - 1. Let h(w) = r(w) - 4*x(w). What is the third derivative of h(n) wrt n?
54
What is the first derivative of 16*q - 66 + 17*q + 39*q wrt q?
72
Let n(r) be the second derivative of 29*r**4/12 - 11*r**3/3 - 8*r. What is the second derivative of n(m) wrt m?
58
Let j(u) be the third derivative of -5*u**8/336 + u**4/12 + 2*u**2. What is the second derivative of j(y) wrt y?
-100*y**3
What is the third derivative of 34*v**4 - 14*v**2 - 162*v**4 + 83*v**4 wrt v?
-1080*v
Let t(m) be the third derivative of -m**6/15 + m**5/15 - 2*m**2. Find the third derivative of t(j) wrt j.
-48
Let c(b) be the third derivative of 0*b**4 + 0 + 0*b + 4*b**2 + 1/30*b**5 + 2/3*b**3. What is the first derivative of c(z) wrt z?
4*z
Let c(l) be the second derivative of -5/2*l**2 - 1/6*l**4 + 0 - 4*l + 0*l**3. Differentiate c(y) with respect to y.
-4*y
Let o(q) be the second derivative of -1/6*q**3 - 2*q + 0*q**2 + 0*q**4 + 1/4*q**5 + 0. What is the second derivative of o(z) wrt z?
30*z
Find the second derivative of 16*d**3 - 35*d**2 + 20*d + 35*d**2 wrt d.
96*d
Let m(n) be the first derivative of -n**7/420 + n**5/120 + 2*n**3/3 + 2. Let a(i) be the third derivative of m(i). What is the second derivative of a(y) wrt y?
-12*y
Let t(k) = 4*k**3 + | {
"pile_set_name": "DM Mathematics"
} |
emainder when s is divided by p.
13
Suppose -s + 6*s = 5*z - 200, -3*s + 102 = 3*z. Let k = -35 + z. Calculate the remainder when 3 is divided by k.
1
Suppose 88 = 253*s - 249*s. Calculate the remainder when 613 is divided by s.
19
Let m(v) = -v**3 + 11*v**2 + 2*v + 20. Let i be m(12). What is the remainder when (i/(-150))/(1*2/402) is divided by 34?
32
Let v be (-24)/9*(-3 - 3/(-2)). Suppose -3*a + 55 = 2*a - w, -11 = -a + v*w. Calculate the remainder when 73 is divided by a.
7
Let s = 91 - 25. Let q(g) = g**2 - 3*g - 65. What is the remainder when s is divided by q(11)?
20
Suppose -22*s - 20 = -24*s. Suppose -4*f = 5*w - 0*w - 170, w - 42 = -f. Calculate the remainder when f is divided by ((-56)/s)/((-6)/15).
12
Let v(u) = -u**3 + u**2 - 21*u - 10. Calculate the remainder when v(-5) is divided by 94.
57
Suppose -15*s + 17*s - 8 = 0. What is the remainder when 196/(s/2) - (-34)/17 is divided by 21?
16
Calculate the remainder when 0 - 2*-14*(-63)/(-14) is divided by 27.
18
Let l(b) = -7*b - 49. Calculate the remainder when l(-13) is divided by 4.
2
Let l = -42 - -123. What is the remainder when 396 is divided by l?
72
Suppose 0 = 2*j - 107 + 63. What is the remainder when j is divided by 16?
6
Suppose -h - 3 = -6. Suppose -5*o - h*j + 165 = 0, -2*j + 66 = 2*o + 3*j. What is the remainder when o is divided by 12?
9
Suppose 0 = -3*k - 2*h + 11, -2*h - 39 = -4*k - 15. Suppose 2*r - k*r = 228. Let f = -44 - r. What is the remainder when 127 is divided by f?
31
Let x(o) = o**3 - 16*o**2 - 25*o + 29. Calculate the remainder when x(18) is divided by 12.
11
Let m(y) = -7*y**3 + 3*y**2 + 20*y + 5. Let r(o) = 3*o**3 - o**2 - 10*o - 3. Let a(d) = -2*m(d) - 5*r(d). What is the remainder when 37 is divided by a(-4)?
11
Let p be (-1)/(-2) - (-6)/4. Suppose 4*y + 3*q = 8, -q - 20 = 4*y - 5*q. Calculate the remainder when 35 is divided by 21 - p - (1 + y).
16
Let w(m) = 2*m + 438. What is the remainder when w(-11) is divided by 19?
17
Let y(w) = w**3 + 3*w**2 - w - 1. Let u(b) be the first derivative of -b**4/4 - 4*b**3/3 + 10*b + 1. Calculate the remainder when u(-6) is divided by y(2).
14
Let f(u) = 20*u**2 + 31*u - 88. Calculate the remainder when f(3) is divided by 47.
44
What is the remainder when 107 is divided by (14 + -3)*(2*-1 + 6)?
19
Let d(o) = 54*o + 270. Calculate the remainder when d(-4) is divided by 21.
12
Suppose -z - 2*z = 5*c - 392, 2*z = 2*c - 160. Let p = -49 + c. Suppose -5*x - y = -57, 62 = 4*x - 3*y + 24. What is the remainder when p is divided by x?
8
Suppose 27 = -0*a + a. Let d(q) = 2*q**2 - q - 1. Let p be d(3). What is the remainder when a is divided by (p/4)/(13/26)?
6
Suppose 0*j = -3*j. Let w(q) be the second derivative of q**3/6 + 5*q**2/2 + 7*q. Calculate the remainder when 14 is divided by w(j).
4
Suppose -l + 3 = 0, t - 32 = -2*l - 3. Let h(s) = -s**2 + 6*s + 2. Let c be h(6). What is the remainder when (201/(-3))/(1 - c) is divided by t?
21
Calculate the remainder when 13254/96 + (-2)/32 is divided by 34.
2
Let h = -1378 - -1387. What is the remainder when 241 is divided by h?
7
Suppose 0 = -25*o + 106 - 31. What is the remainder when 16 is divided by o?
1
Let s = -384 + 591. What is the remainder when s is divided by 52?
51
Suppose p = 0, -p = -j - 7 + 1. Let r(l) = -l**3 - 5*l**2 + 4*l - 2. Calculate the remainder when 39 is divided by r(j).
9
Suppose 5*z = -2*i - 0*i + 48, -3*i = -5*z - 22. Let f = i - -60. What is the remainder when f is divided by 15?
14
Suppose 260 = 5*a - 5*l, -3*l = -a - 0*l + 58. Let w = -35 + a. Calculate the remainder when 67 is divided by w.
11
Suppose -6*t = -24*t + 3690. Calculate the remainder when t is divided by 13.
10
Let a = 47 + -7. Let w = 1435 - 1421. Calculate the remainder when a is divided by w.
12
Suppose 7*m + 6 + 15 = 0. Calculate the remainder when 20 is divided by (-9 + 2)*(-4 - m).
6
Let t = -56 - -41. Suppose -s = 3*s - 84. Let l = t + s. Calculate the remainder when 21 is divided by l.
3
Suppose -4*r - 428 = -2*q, -3*r + 650 = 3*q - r. What is the remainder when q is divided by 44?
40
Let q = 147 + -69. Calculate the remainder when q is divided by 14.
8
Suppose 6*x + 5 = 65. Let z(o) = o**2 - 9*o - 15. Calculate the remainder when z(13) is divided by x.
7
Suppose -3*p + 24 = -21. Suppose -79 = p*w - 484. Calculate the remainder when w is divided by 18.
9
Let t(l) = 4*l**2 + 8*l + 3. Let z be t(-3). Let b be 8/(-6)*z/(-5). Suppose 7*r - 159 = b*r. Calculate the remainder when r is divided by 14.
11
Suppose 5*t - 900 = -3*b, 1200 = -96*b + 100*b - 3*t. Calculate the remainder when b is divided by 110.
80
Suppose 4*w - 179 = -67. Let n = w - 0. Suppose -12 - n = -2*x. Calculate the remainder when x is divided by 12.
8
Let l(a) = a**2 + 10*a + 4. Let d be l(-10). Let z be -1 - -1*d*1. Suppose 2*q = 4, 3*q + 15 + 48 = z*w. What is the remainder when w is divided by 12?
11
Suppose 3*a = -3*r + 1 - 7, 4*a - 22 = r. Let h be 279/r - (-6)/4. What is the remainder when 3/6 - h/2 is divided by 8?
7
Suppose -12*z - 335 + 2219 = 0. What is the remainder when z is divided by 45?
22
Let z(u) = -u**3 - u**2. Let m be z(-2). Suppose 0 = m*j - 81 + 9. What is the remainder when 89 is divided by j?
17
Let j be 4/3*51/(-34). Calculate the remainder when -5 - j - (0 - (1 - -31)) is divided by 16.
13
Let z(r) = 18*r + 4 - 13*r + 3*r**2 - 4*r**2. Let o be z(6). Let n(t) = -t**3 + t**2 - 1. What is the remainder when 41 is divided by n(o)?
8
Calculate the remainder when 228 is divided by ((-105)/(-120))/(4/96).
18
Let l = -38 - -43. Let n(w) = 3*w**2 - 3*w. What is the remainder when n(2) is divided by l?
1
Suppose 4*v + 2*d + 204 = 5*v, 2*v = 5*d + 407. Let g = 270 - 218. What is the remainder when v is divided by g?
50
Suppose l + 2*m + 5 = 0, -13*m = 4*l - 14*m - 7. Calculate the remainder when 7 is divided by l.
0
Suppose 5 = b - 0*b. What is the remainder when (108/(-90))/((-2)/10) is divided by b?
1
Let y(n) = -n**2 - 8*n + 24. What is the remainder when 99 is divided by y(-7)?
6
Suppose -5*h - 70 = -15*h. What is the remainder when 42 is divided by h?
0
Let l be 180/54*3/(-2). Let b(x) = -x**2 - 8*x - 7. What is the remainder when 30 is divided by b(l)?
6
Suppose -3*p - 3*f + 114 = 0, 0*p + 2*p - 3*f = 81. Suppose -4*v - v + 65 = 3*w, 3*v + w - p = 0. Calculate the remainder when v is divided by 4.
1
Let a = 127 - 71. Suppose -3*f + 15 - 3 = 0, 2*u - 2*f + 76 = 0. Let t = a + u. Calculate the remainder when 87 is divided by t.
21
Suppose -22*k = -10*k - 10332. What is the remainder when k is divided by 27?
24
Let m(l) = 9*l**2 + 8*l + 10. What is the remainder when (-244)/(-4) - 4/1 is divided by m(-2)?
27
Suppose 2*m - 44 = -2*w - 0*m, -2*w + 44 = m. What is the remainder when -1*(15 + -14)*-31 is divided by w?
9
Suppose 0 = -d + 7. Let o(x) = -x**3 - 10*x**2 + 10*x + 1. Suppose 3*u - 5*w = -17 - 6, w - 53 = 5*u. Calculate the remainder when o(u) is divided by d.
5
Suppose -59*n - 163 = -60*n. What is the remainder when n is divided by 26?
7
Let c be ((-5)/(-3))/((-2)/24). Suppose 57*w - 43*w = 266. Let a = w - c. What is the remainder when 75 is divided by a?
36
Suppose -37*f - 372 = -41*f. What is the remainder when f is divided by 49?
44
Suppose 1300 = -3*s + 1780. What is the remainder when s is divided by (82/(-4))/(4/(-8))?
37
Let i = 13 - 11. Suppose -5*w - 3*q + 143 = 0, -2*w + i*q + 70 = -0*q. Let h = -2 - -19. Calculate the remainder when w is divided by h.
14
Let h = -12 + 16. Suppose 5*v = -r + 14, 0 = v + h*r + 2 - 1. Suppose -v*w = -2*w - 11. Calculate the remainder when w is divided by 7.
4
Let z be -1 - 2*(-4)/(-8). Let j(r) = 0*r**3 - 5*r**2 + 5*r**2 - r**3. Calculate the remainder when 12 is divided by j(z).
4
Calculate the remainder when 433 is divided by 23 + (-6)/9*-9.
27
Let u = 35 - 35. Suppose 3*y = 2*l - 36, u*l - y = -2*l + 32. What is the remainder when 3 + -1 - (-80)/2 is divided by l?
12
Let c = -1766 - -1807. What is the remainder when 50 is divided by c?
9
What is the remainder when 78 is divided by (2 - 12/1)/(33/(-33))?
8
Suppose 3*f - 48 = -f. Calculate the remainder when (1 - 80/f)*-6 is divided by 10/(-2)*90/(-50).
7
Suppose 0 = 4*u - k - 503, -5*u + 6*u - 3*k = 123. Suppose 2*d - u = -5*q - d, -d = -2. Calculate the remainder when q is divided by 5 | {
"pile_set_name": "DM Mathematics"
} |
tive of 33642899*f**3 - 718977831*f wrt f?
201857394*f
What is the second derivative of 6*a**2*s**3 + 45853*a**2*s - 21*a**2 + 740*a*s**3 + 4*a*s + s**3 + 8 wrt a?
12*s**3 + 91706*s - 42
Find the third derivative of -14729047*q**5 + 17374426*q**2.
-883742820*q**2
Find the first derivative of 11*b**2*k - 208*b**2*m**2 + 348934*b*k + 290882*k*m**2 wrt m.
-416*b**2*m + 581764*k*m
Find the third derivative of -q**6 + 1230889*q**4*u**2 + 1266*q**2*u + 4*q**2 + 71*u**2 wrt q.
-120*q**3 + 29541336*q*u**2
What is the third derivative of 2541*l**3*p**2 - 45623*l**3*p + 2*l**3 + 3*l**2*p**2 + 130949740*l**2 wrt l?
15246*p**2 - 273738*p + 12
What is the second derivative of -113898*g**2*h**2 - 4*g**2*h - 2*g**2 + 625*g*h - 285*h**2 + 16 wrt g?
-227796*h**2 - 8*h - 4
Find the second derivative of a**2*q**2 - 3*a**2*q*y + 7551*q**2*y**2 + 132*q**2 + 90*q*y**2 + 2*q*y - 4*q - 133*y**2 wrt q.
2*a**2 + 15102*y**2 + 264
Find the second derivative of -333487751*c**2 + 17465946*c - 4 wrt c.
-666975502
Differentiate -19904137*l**2 - 6295844 wrt l.
-39808274*l
Differentiate -238868*w**2 - 9*w + 2951946.
-477736*w - 9
Find the third derivative of 218489*b*h**4 + b*h**3 - 7*b*h - h**4 + 66*h**3 + 48*h**2 + 19873*h wrt h.
5243736*b*h + 6*b - 24*h + 396
Find the first derivative of -63561850*m**3*s**4 - 16756919*m**3 wrt s.
-254247400*m**3*s**3
Find the second derivative of 312632*d**2*q**3 - 30*d**2*q**2 - 6*d**2 - 7*d*q**3 + 3*d*q**2 + 89*d*q + 2418*q**2 wrt d.
625264*q**3 - 60*q**2 - 12
Differentiate 2*g**3 - 89433915*g + 569269093 wrt g.
6*g**2 - 89433915
Find the second derivative of -3384*b*c**5*n + 5172*b*c*n**3 + 2*b*c*n**2 + 312*b*c + 26712*c**2*n**3 + c*n**3 wrt c.
-67680*b*c**3*n + 53424*n**3
What is the second derivative of -12634556*u**2*x + u*x + 74*x + 4033 wrt u?
-25269112*x
Find the third derivative of 113071*g**2*v**3 + 529*g**2*v**2 - 2*g**2*v - 107*g*v**3 - 5*g*v - 2*v**3 + 139*v**2 - 2*v wrt v.
678426*g**2 - 642*g - 12
Find the third derivative of 325039447*g**3 - 760983*g**2 + 27*g wrt g.
1950236682
Find the first derivative of 21709*f*j*w - f*j + 3*f*w - 456689*f - 328*j*w + 2*j wrt j.
21709*f*w - f - 328*w + 2
Find the third derivative of -50150642*p**5 - 410105*p**2 + 23 wrt p.
-3009038520*p**2
What is the third derivative of -13805223*i*o**3 - 25*i*o**2 - 2*o**2 - 4*o + 15137 wrt o?
-82831338*i
Find the second derivative of -155262691*u**3 + 126558249*u + 1 wrt u.
-931576146*u
Find the second derivative of 446656505*k**2*y - 9*k*y + 841*k - 15*y + 133 wrt k.
893313010*y
Differentiate 2*b**3*g**2 - 78*b**3 - 12*b**2 - 55304*b*g**3 - 2*b + 178 wrt g.
4*b**3*g - 165912*b*g**2
Differentiate -369157984*f**2 + 172870534 with respect to f.
-738315968*f
What is the second derivative of s**2*v**3 + 282*s**2*v**2 + 1992*s**2*v*x + 5699*s*v**3*x + 5*s*v**3 - 33*s*x + 2*v**3*x wrt s?
2*v**3 + 564*v**2 + 3984*v*x
Find the third derivative of 3*k**3*r**4 - 16*k**3*r**2*y - 2*k**3*r*y + 40*k**3 - 3023464*k*r**4*y + 4*k*y - r**2*y - 109*y wrt r.
72*k**3*r - 72563136*k*r*y
What is the second derivative of -12696975*h*w**2 - 4803*h*w + 41*h + 3*w wrt w?
-25393950*h
Differentiate -156*d**3 + 3593*d**2 - 29104616 with respect to d.
-468*d**2 + 7186*d
What is the first derivative of 35879*i**4 - 66*i**2 + 22358303?
143516*i**3 - 132*i
Find the third derivative of -175475833*p**5 + 86*p**2 + 156381.
-10528549980*p**2
Find the first derivative of 3*g**2 + 267650*g - 24951583 wrt g.
6*g + 267650
Find the second derivative of -94762840*i**3 - 20671772*i wrt i.
-568577040*i
Find the first derivative of 41448699*p**2 - p + 204524438.
82897398*p - 1
Differentiate -69033040*c*z + 1149493*z - 30 wrt c.
-69033040*z
Find the first derivative of -5*n**4 - 26*n**3 - 2*n**2 - 105*n - 14073643.
-20*n**3 - 78*n**2 - 4*n - 105
What is the derivative of 28018751*n**4 - 29123671 wrt n?
112075004*n**3
What is the second derivative of 5063*g**5*p - 56835*g**2*p**3 + 10*g*p**3 - 105585*g*p + 85*g wrt g?
101260*g**3*p - 113670*p**3
Differentiate -7563*c*m*r - 486*c*m*t + c*r*t + 16*c*t + 180*m*r*t - 42*m*t + 4*m - r*t with respect to r.
-7563*c*m + c*t + 180*m*t - t
What is the derivative of -91053377*y**4 + 398819916 wrt y?
-364213508*y**3
What is the third derivative of 3*i*j**4 + 42*i*j**3 + 17349*i*j**2 + 2*j**4 - 6223*j**3 - 344*j wrt j?
72*i*j + 252*i + 48*j - 37338
Find the second derivative of -24210270*c**5 - 232*c - 150217 wrt c.
-484205400*c**3
What is the second derivative of 84471268*k**2 - 23685*k + 594 wrt k?
168942536
What is the third derivative of -4802570*v**4 - 9*v**3 - 10755095*v**2 wrt v?
-115261680*v - 54
What is the first derivative of 2061094*x**4 + 11724251?
8244376*x**3
What is the third derivative of -q*v**4 - 1626*q*v**3 + 141350*q*v**2 - 697*v**4 wrt v?
-24*q*v - 9756*q - 16728*v
Find the first derivative of -492920*o*t**2 + 9687771*o - 4*t**4 + 2*t**3 wrt t.
-985840*o*t - 16*t**3 + 6*t**2
What is the derivative of -19641077*a*g + 128451*a - 23 wrt g?
-19641077*a
Find the third derivative of 48*c**6 + 370*c**5 - 31*c**4 + 734326*c**2 - 6.
5760*c**3 + 22200*c**2 - 744*c
Find the third derivative of 24304748*v**3*x**3 - 7*v**3*x**2 + 103982*x**2 wrt x.
145828488*v**3
What is the first derivative of -3325*z**3 - 140*z**2 + 2*z + 12872388 wrt z?
-9975*z**2 - 280*z + 2
Find the second derivative of -207886621*v*z**2 + 7927*v - 4563*z + 1 wrt z.
-415773242*v
What is the second derivative of 547488324*t**5 - 606705557*t?
10949766480*t**3
Find the second derivative of 6*v**3*z**2 + 4*v**3*z - 3*v**3 + 2707*v**2*z**2 - 3*v**2*z + 10811*v**2 - 4*v*z - 2*v + 6117*z**2 wrt z.
12*v**3 + 5414*v**2 + 12234
What is the second derivative of 563*v**3*w**2 - 11370290*v**3 + v**2*w + 61031*v*w**2 wrt w?
1126*v**3 + 122062*v
What is the first derivative of l*n**2 - 60232*l - 22*n**4 + 67326*n**3 + 1 wrt n?
2*l*n - 88*n**3 + 201978*n**2
Find the second derivative of -47525176*m**3 - 2*m + 28540263 wrt m.
-285151056*m
What is the third derivative of 980869587*z**5 - 738995469*z**2?
58852175220*z**2
What is the derivative of n**4 + 5*n**2 - 201491*n + 7174258?
4*n**3 + 10*n - 201491
Differentiate -24*g*h**3 - 25*g*h**2 + 12*g*h + 8*g + 2*h**3 - 5602*h**2 - 2*h - 183 wrt g.
-24*h**3 - 25*h**2 + 12*h + 8
Differentiate 169*h*l*q - 302654397*h*l - l*q - l + 11850*q**4 wrt q.
169*h*l - l + 47400*q**3
Find the second derivative of -11033822*z**2 - 10424704*z.
-22067644
Differentiate -11827098*t - 6651183 wrt t.
-11827098
Find the third derivative of -111661784*m**3 - 301307264*m**2 wrt m.
-669970704
Find the third derivative of -130101830*g**3 - 205240657*g**2 wrt g.
-780610980
Differentiate 2414*b**2*c**2 + 606*b**2 - 4330*c**2 + 1794*c wrt b.
4828*b*c**2 + 1212*b
What is the second derivative of 3*b**4 - 1087128*b**3 + b + 4583 wrt b?
36*b**2 - 6522768*b
What is the first derivative of 2851187*s**2 + 7366080?
5702374*s
What is the third derivative of 11*q**3*x**3 + 91475*q**3 + 4*q**2*x**3 + 346*q - 2*x**3 - 9*x wrt q?
66*x**3 + 548850
Find the second derivative of -c**2*x**3 - 1509098*c**2 + 16*c*x**3 + 64*c + 26*x**3 wrt c.
-2*x**3 - 3018196
What is the second derivative of -2268499*a**4 + 55*a**2 + 4440*a - 105553?
-27221988*a**2 + 110
What is the third derivative of 642450425*b**2*x**3 - 7*b**2*x**2 - 4387*b**2*x + b + 8*x + 5 wrt x?
3854702550*b**2
Find the third derivative of -7199549*r**3 - 6178013*r**2 wrt r.
-43197294
Differentiate 355727894*y + 259188584 with respect to y.
355727894
Differentiate -431*c*o**2 - 46551*c*u - 54*o**2*u**3 + 6*o*u**3 + 39*u**3 with respect to o.
-862*c*o - 108*o*u**3 + 6*u**3
Find the third derivative of -8619546*t**4 - t**3 + 159*t**2 - 14669*t wrt t.
-206869104*t - 6
What is the second derivative of -6007191*s**2*t**2 + 2*s**2 + 331*s*t**2 - 3948*s*t - 2*s + 2*t**2 - 4*t wrt s?
-12014382*t**2 + 4
Differentiate 947*h**3 + 31105*h**2 + 164199274.
2841*h**2 + 62210*h
Find the third derivative of 5*a**3*p*t - 6261*a**3*p - 98*a**3*t - a**3 - a**2*p*t + 164218*a**2*t + 25*a*t wrt a.
30*p*t - 37566*p - 588*t - 6
What is the third derivative of -1424699163*j**4 + 1061161972*j**2 wrt j?
-34192779912*j
What is the first derivative of -150*i**2*x + 686901*i**2 + 23415*i*x wrt x?
-150*i**2 + 23415*i
Find the second derivative of -177*v**3 + 215674*v | {
"pile_set_name": "DM Mathematics"
} |
+ 28*u**4 wrt u.
112*u**3
Let k(z) be the first derivative of 133*z**2 + 2889*z - 477. What is the first derivative of k(t) wrt t?
266
Suppose -18 - 7 = -5*r. What is the second derivative of 3*o**r + 28*o**4 - 8 + 5 - 25*o**4 - o - 2*o**5 wrt o?
20*o**3 + 36*o**2
Suppose 35 = 5*h - 0*h. Let c(r) = -13*r - 126. Let n be c(-10). Find the third derivative of 2*w**2 - h*w**2 + 4*w**2 - 12*w**n wrt w.
-288*w
Let f be (-8)/(-6) + (-5)/(-3). Find the first derivative of 6*l**f + 568 - 6*l**4 - 530 - 2*l**2 + 2*l**2 wrt l.
-24*l**3 + 18*l**2
Let x = -3 - 40. Let p = x + 45. What is the third derivative of -13*l**6 - 14*l**6 + 20*l**2 - 3*l**2 + 8*l**p wrt l?
-3240*l**3
Let q(m) be the first derivative of m**2/2 + m - 3. Let v(n) = -13*n + 52. Let b(d) = -5*q(d) - v(d). Differentiate b(x) wrt x.
8
What is the second derivative of -4509*b**2 - 4 + 2580*b**2 + 16 + 3*b**3 + 18*b + 2432*b**2 + 7 wrt b?
18*b + 1006
Let k = 25 - 24. Suppose -3*n + k = -8. What is the second derivative of -2*b - 14 + b**5 + 8 - b - n*b**5 wrt b?
-40*b**3
What is the second derivative of 20276 - 40*p**4 - 62*p**2 + 7*p**4 - 10141 - 10136 - 19*p wrt p?
-396*p**2 - 124
Let c(o) be the first derivative of 145*o**5 + 25*o**3/3 + 5*o**2/2 - 6670. What is the third derivative of c(y) wrt y?
17400*y
Let d(c) be the second derivative of 111 - 25/6*c**6 + 0*c**2 + 0*c**5 + 0*c**3 + 9*c**4 - 2*c. What is the third derivative of d(q) wrt q?
-3000*q
Find the first derivative of -707*s**2 - 1364 - 799*s**2 + 848*s**2 wrt s.
-1316*s
Let k(s) be the first derivative of -34*s - 71/2*s**2 - 1. What is the first derivative of k(g) wrt g?
-71
Find the third derivative of 2301*r**2 - 4817*r**4 - 4068*r**2 - 2113*r**2 + 1199*r**4 wrt r.
-86832*r
Let c(n) = 3407*n**3 + 58*n**2 - 6*n - 1. Let u(g) = 2*g**3 - 1. Let q(z) = c(z) - 3*u(z). Find the third derivative of q(k) wrt k.
20406
Let u be -65*2/(-15) - (-20)/15. Differentiate 9*g - 13*g + 105 - 28*g**2 + 6*g + u*g**2 with respect to g.
-36*g + 2
Let g(d) be the second derivative of 4*d**7/7 - 13*d**5/20 + 541*d**3 + 127*d + 7. Find the second derivative of g(f) wrt f.
480*f**3 - 78*f
Let b(k) be the first derivative of 68*k**3/3 + 600*k + 169. What is the first derivative of b(v) wrt v?
136*v
Find the first derivative of -2010*h**4 + 208*h**4 + 1191 + 1133 - 444 wrt h.
-7208*h**3
Let f(b) be the second derivative of 5*b**4 + 0*b**2 + 0*b**5 + 0*b**3 + 0 - 37*b + 227/30*b**6. What is the third derivative of f(w) wrt w?
5448*w
Let x(m) = -4*m + 9. Let g be x(-4). Let q(i) be the first derivative of 341 + 0*i**2 + g*i + 2*i**2 - 5*i**2 - 349. What is the first derivative of q(u) wrt u?
-6
Find the first derivative of -469 - 53 - 691*d**4 - 467*d**4 + 392*d**4 wrt d.
-3064*d**3
Let l(x) = x + 39. Let p be l(-37). Find the third derivative of 318*a**3 - 28*a**p - 2*a**3 - 21*a**2 - 36*a**3 wrt a.
1680
Let z(v) = -1723*v**3 - 42*v - 8430. Let l(p) = -288*p**3 - 7*p - 1405. Let j(q) = 13*l(q) - 2*z(q). What is the first derivative of j(t) wrt t?
-894*t**2 - 7
Let z(s) be the first derivative of 7*s**3/3 - 7*s**2/2 + 205*s + 204. Let y(u) = -2*u**2 + 4*u. Let o(g) = -y(g) + z(g). Differentiate o(k) with respect to k.
18*k - 11
Let p(z) = -5133*z + 4382. Let l(q) = -37*q + 3. Let o(k) = -4*l(k) - p(k). What is the derivative of o(a) wrt a?
5281
Let i(v) be the third derivative of -11*v**9/20160 + v**6/20 - v**5/20 + 5*v**3/3 + 39*v**2. Let j(d) be the third derivative of i(d). Differentiate j(u) wrt u.
-99*u**2
Let m(b) = 6*b**3 - 199*b**2 + 2. Let d(l) = 30*l**3 - 1002*l**2 + 11. Let c(u) = -4*d(u) + 22*m(u). Find the third derivative of c(h) wrt h.
72
Let v be (-18)/(-1) + (4 - (3 - 4)). Differentiate 43 - 37 + v + 53*c wrt c.
53
Let s(g) = g**3 - 9*g**2 - 8*g - 3. Let a be s(10). Suppose 13 = 6*o - a. What is the first derivative of -49 + 17 - 9*t - 7*t - o*t wrt t?
-21
Let x = -121 - -126. What is the third derivative of d**x + 3*d**2 + 27*d**2 + 2*d**4 - 5*d**4 - 8*d**2 wrt d?
60*d**2 - 72*d
Let c(i) be the first derivative of -296*i**3/3 + 553*i + 299. What is the derivative of c(n) wrt n?
-592*n
Let v(p) = -8*p**2 - p + 16. Let f(m) = 77*m**2 - 85*m**2 + 17 - 1 - 2*m + 0. Let c(a) = 4*f(a) - 5*v(a). What is the first derivative of c(q) wrt q?
16*q - 3
Let i = -63 + 115. Let b = i - 48. Find the first derivative of -17*j**b + 44*j**4 - 24*j**4 + 10 wrt j.
12*j**3
Let t(m) be the second derivative of 277*m**7/21 - 287*m**3/2 - 3*m + 10. What is the second derivative of t(z) wrt z?
11080*z**3
Find the second derivative of 1742*v - 243*v**3 - 285*v**3 - 244*v**3 + 121*v**3 wrt v.
-3906*v
Let v(r) be the third derivative of 1099*r**5/15 - 1267*r**4/24 - 908*r**2. Find the second derivative of v(l) wrt l.
8792
Let z(j) be the first derivative of 0*j**4 - 278 + 71*j + 1/5*j**5 + 0*j**2 + 23/3*j**3. What is the derivative of z(g) wrt g?
4*g**3 + 46*g
Let d(h) be the first derivative of -h**5/5 - 3035*h**4/4 + 12212*h - 7233. Find the first derivative of d(k) wrt k.
-4*k**3 - 9105*k**2
Let x(u) = -5*u + 170. Let d be x(32). Differentiate 114 - 220 + 8*b**2 - d wrt b.
16*b
Let b(h) be the second derivative of 3/2*h**3 + 0 + 3/2*h**2 + 110*h + 0*h**4 + h**5. Find the second derivative of b(a) wrt a.
120*a
Let p(g) = -19*g - 29. Suppose y + 23 = -4*i, -y = i - 3*y + 8. Let r be p(i). What is the second derivative of -19*d**4 + 30*d + 41*d - r*d wrt d?
-228*d**2
Find the second derivative of 66721294*g**3 - 582*g**4 - 277 - 66721294*g**3 - 14*g wrt g.
-6984*g**2
Let a(u) be the first derivative of -31*u**8/168 + u**4 - 8*u**2 - 13. Let v(g) be the second derivative of a(g). What is the second derivative of v(y) wrt y?
-1240*y**3
Let f be -6 - -5 - -42 - (-2 + 4). What is the derivative of 4*t + 2*t - 7*t + 104 - f*t**3 wrt t?
-117*t**2 - 1
Let z = -117 + 127. Suppose -4*s = a + z, 5*s + 2 = -5*a + s. What is the third derivative of -10*m**4 + 13*m**a - 7*m**4 + 21*m**2 wrt m?
-408*m
Let x = -6131 - -6131. Let h(i) be the second derivative of 0*i**3 - 15*i + x*i**4 + 19/20*i**5 + 0 - 8*i**2. What is the derivative of h(v) wrt v?
57*v**2
Suppose -152 - 16 = -6*b. What is the derivative of 82 - b + 27*l**4 + 34*l**4 wrt l?
244*l**3
Let d(n) = n**4 - n**3 - 5*n**2 - n. Let r(f) = -696*f**4 + 6*f**3 + 20*f**2 + 2264*f. Let x(y) = 4*d(y) + r(y). Find the second derivative of x(t) wrt t.
-8304*t**2 + 12*t
Differentiate -2816*a - 156 + 7997*a + 2571 + 2388*a wrt a.
7569
Let i(z) = 156*z + 76. Let b be 42/8 - -2*(-2)/16. Let k(g) = 52*g + 25. Let h(f) = b*i(f) - 16*k(f). Differentiate h(r) wrt r.
-52
Let j be (-14)/1*((-4)/8 - -2). Let g be (-1 - (-3)/9)*j. What is the first derivative of -3 - 10*c - 3*c - 6*c + g wrt c?
-19
Find the third derivative of 457*z**5 - 351*z**5 - 199 + 835*z**5 + 349 + 709 - z**2 wrt z.
56460*z**2
Let k(i) = i**2 + 5*i + 2. Let n be k(-4). Let c be 12 + (n - ((5 - 2) + -5)). Find the second derivative of 12 + 24*z - 4*z + 24*z**3 - c wrt z.
144*z
What is the second derivative of -194*k - 736*k**4 - 316*k - 613*k - 133*k**4 - 35*k wrt k?
-10428*k**2
Let i(x) = -x**4 - 3*x**3 + 3*x**2 - x. Let t(d) = -7*d**4 - 32*d**3 + 33*d**2 - 1913*d. Let s(q) = 5*i(q) - t(q). What is the second derivative of s(w) wrt w?
24*w**2 + 102*w - 36
Let w(j) = -2*j - 2. Let a be w(-2). Differentiate -2*x**2 - 16*x**a - 133 + 15*x**2 - 2*x**4 - 5*x**2 wrt x.
-8*x**3 - 16*x
Let m(g) = 1622*g - 2631. Let y(s) = 1629*s - 2632. Let f(j) = -4*m(j) + 5*y(j). What is the first derivative of f(x) wrt x?
1657
Suppose -2*m = -980 + 232. What is the first derivative of -208*u**4 - 236*u**4 + 24 + m*u**4 wrt u?
-280*u**3
Let g(x) be the third derivative of 1/12*x**4 + 34*x**2 + 149/60*x**5 + 0 + 0*x - 17/6*x**3. What is the second derivative of g(v) wrt v?
298
Find the second derivative of 1699*o - 76*o**3 - 228*o + 32*o**3 + 21*o**2 + 22*o**2 wrt o.
-264*o + 86
Let a(f) be the second derivative of -75*f**2 + 0*f**3 - 1/6*f**4 - 8*f**5 - 19 - 6*f. Differentiate a(i) with respect to i.
-480*i**2 - 4*i
Let w(u) be the second derivative of -87*u**6/5 + 7*u**4/12 - 3*u**3 + 825*u. What is the third derivative of w(j) wrt j?
-12528*j
Let u(r) be the first derivative of -r**4/2 - 70*r**3/3 - 2895*r - 1653. Differentiate u(k) with respect to k.
-6*k**2 - 140*k
Let h = 433 - 34 | {
"pile_set_name": "DM Mathematics"
} |
) p
c
Let z = 1254.5 + -1254. What is the fourth biggest value in 8.8, z, 2/9, 3?
2/9
Let f = 583 - 733.8. Let i = 151 + f. Let c = -1 + 1. What is the fourth smallest value in 1, -1/7, i, c?
1
Let w = 11.771 + -12.771. What is the second smallest value in -0.041, 0.1, w, -2/11?
-2/11
Let v be 2/(-4) + (-76)/(-80)*194. Let u = v + -183. Let x = -3/10 + u. What is the third smallest value in x, -3, 0.2?
x
Let d = 1.148 + -1.248. Which is the smallest value? (a) 3 (b) -2/17 (c) d
b
Let z = -19 + -39. Let f = -59 - z. What is the third smallest value in f, 1, -3/14?
1
Let s = -25 - -25.057. Let u = 1.257 - s. Which is the second biggest value? (a) u (b) -0.03 (c) -1
b
Let v = -194 - -371. Let a = 176.96 - v. What is the smallest value in a, -1, -0.6, -2/19?
-1
Let w(p) = -p**2 + 12*p - 4. Let t be w(2). Let u be 2/5*(-60)/t. What is the second smallest value in 3, 0.16, u?
0.16
Suppose 3*y - 19 = w, 3*y - 2*y = 5. Let d be 2/w - 49/(-14). Suppose -5*a - r - 11 = 0, 0 = -2*a - 2*a + 2*r - 6. What is the biggest value in d, a, -3?
d
Let s = 12.246 - 16.246. Which is the second biggest value? (a) s (b) 2044 (c) 0
c
Let s = 564 - 563.9. What is the fourth biggest value in -2/43, -2/17, s, -0.4?
-0.4
Let k = 16.82 - 16.62. Which is the fourth biggest value? (a) -90 (b) 1/10 (c) -4 (d) k
a
Suppose 49 = 25*n - 101. Let w be (-148)/20 + n + 2. What is the smallest value in -5, 0.23, 0.1, w?
-5
Let u be 16/(-2) + (11/(-3) - -11). Which is the third smallest value? (a) u (b) -0.5 (c) -0.116 (d) -3/5
b
Let f = -220 + 218.72. Let v = 0.28 + f. Which is the smallest value? (a) v (b) 2/11 (c) -0.1
a
Let v = -22117 - -22123. What is the second smallest value in v, 5, 2, -2/13, -90?
-2/13
Let h be (228/(-378) - -1) + 8/(-28). Which is the third smallest value? (a) h (b) -11 (c) 1/8 (d) -2 (e) -0.1
e
Let m = 3211/4 - 3213/4. Which is the second biggest value? (a) m (b) -4 (c) -1.2 (d) -7/5
c
Let n = 5/1304 - 5241/6520. Which is the second biggest value? (a) n (b) -15 (c) 1/2
a
Let r = 3.741 + -3.541. Which is the third biggest value? (a) 2/33 (b) -1.3 (c) 1/6 (d) 2 (e) r
c
Let n = -18.6 - -22. Let b = 7.4 - n. What is the third smallest value in 3, b, 20, 1?
b
Let v = -58 - -54. Let f = 0.0412 + -87.0412. Which is the smallest value? (a) f (b) 3 (c) 4 (d) v
a
Let w = 877/100 + -238/25. Which is the smallest value? (a) -1/3 (b) 0.4 (c) -0.1 (d) w (e) 35/2
d
Let x be (5 - (4 + -8 - -13))*(-2)/(-36). What is the fifth biggest value in -0.6, x, -0.3, 0, 4.2?
-0.6
Let r = -16069/1638 - 11/234. Let g = -1145/119 - r. Let n = 0.3 - 0.5. Which is the second biggest value? (a) n (b) -2 (c) g
a
Suppose -18165 = 9*p - 18201. Which is the smallest value? (a) -1/2 (b) 0.05 (c) p (d) 0.9 (e) -0.2
a
Let n = -17.207 - 0.393. Let k = 15 - 33. Let m = n - k. What is the third biggest value in m, 5, -5?
-5
Let l = 10771 - 10773. Which is the fifth biggest value? (a) -3/5 (b) -5 (c) l (d) -7/17 (e) -1.9
b
Let d = -21.38 - -21.1. Let f = -0.58 - d. Let g = 6 + -4. Which is the second biggest value? (a) g (b) 5 (c) f
a
Let j = 5684 - 5686. Let z = -10.35 + -0.15. Let y = -11 - z. Which is the second biggest value? (a) -1 (b) y (c) j (d) -4
a
Let z = 38/35 - 1931/70. Which is the third biggest value? (a) z (b) 0 (c) -9 (d) 3
c
Let r = -1.336 - -1.336. Which is the smallest value? (a) -4 (b) r (c) -3/8 (d) 6
a
Suppose 3*b = b. Suppose -n = -b*n. Let p = -13937 - -13936.5. What is the second smallest value in -0.9, p, n?
p
Let g = 447 - 683. Let t = g + 239. Which is the third biggest value? (a) 0.043 (b) -5 (c) t
b
Suppose -2*q - 19 = 5*j - 31, 0 = -q - j + 3. Which is the fourth smallest value? (a) 0.1 (b) 5 (c) 4/13 (d) q
b
Let u = -7/19 + 129/247. Let x = 129.2 + -129. Let v be (-14)/(-44)*-12 - (4 - 8). Which is the fourth biggest value? (a) x (b) u (c) 1 (d) v
b
Let d = 15506.8 - 15507. What is the smallest value in d, -193, -7/5?
-193
Let n = 39.6 - -0.8. Let f = n - 33.4. Let v = 0.36 - -0.04. Which is the biggest value? (a) f (b) -5 (c) v
a
Let l = 313 + -309.81. Let z = -35.1 + 32. Let k = z + l. Which is the third biggest value? (a) 1/2 (b) 3 (c) k
c
Let u = -6309.3 + 6309. Which is the smallest value? (a) 0.017 (b) -0.06 (c) u
c
Suppose -45*g + 35*g = -390. Suppose -5*q + 58 = 228. Let m = g + q. Which is the smallest value? (a) m (b) 4 (c) 1/3
c
Let w(f) = 5*f**3 - 4*f**2 - 12*f + 4. Let o be w(6). Let y = o + -599. Let i = -1609/6 + y. Which is the second biggest value? (a) 0.1 (b) i (c) 0.8 (d) 5
b
Let o = -9.2 + 4.2. Which is the second smallest value? (a) 0.5 (b) -1 (c) o (d) 2/15
b
Let u = 1.54 + -1.04. Let q = 0.43 - u. Let s = -9 + 8.9. What is the third smallest value in s, q, 1?
1
Let k = -391/1200 + -3/400. Let m = 43/85 - -5/17. Let o = 1 + -1. Which is the second biggest value? (a) k (b) o (c) m (d) -0.3
b
Let q = -1760/5271 + 1/1757. What is the second biggest value in 2, q, 8?
2
Let l = -0.09507 + -0.20493. Which is the second smallest value? (a) -2 (b) 21 (c) l (d) -1/4 (e) 1/8
c
Suppose -2*z + 5*w - 25 - 61 = 0, 2*z - 3*w + 78 = 0. Let u = 56 + -92. Let g = z - u. What is the third smallest value in g, 15, 0.1?
15
Let f = 53926 + -53923. Let k = -2.5 + 3. Which is the smallest value? (a) 5 (b) -0.2 (c) k (d) f
b
Let q = -45 + 58. Let n = q + -39. Let h = 25 + n. What is the second smallest value in -1/3, h, -3?
h
Let f = -649 - -648.9. What is the third biggest value in 2, f, -86?
-86
Let q = -135.87 - -135.77. Which is the second smallest value? (a) q (b) -1 (c) -349 (d) -0.5
b
Let u = -6.274 + 0.474. Let d = 2.8 + u. Which is the smallest value? (a) d (b) -12/5 (c) -0.5
a
Let n = -13685.4 + 13685. Let y = 119/9 - 13. Which is the fourth biggest value? (a) n (b) 3 (c) y (d) 0.5
a
Let q = 26 + -51/2. Let x = 734 + -734.04. Which is the third smallest value? (a) x (b) -2/3 (c) q
c
Let r = -1.6 - -1.24. Let t = 0.48 + r. Let j = 0.14 + 0.36. What is the biggest value in -2/5, j, t?
j
Let z be (3/(-4) + 1)/(43/(-430)). Which is the third biggest value? (a) 0 (b) z (c) 0.018
b
Suppose 94*q - 114*q = 60. Which is the biggest value? (a) -6 (b) q (c) 88
c
Let r = -2136 - -2136.4. Which is the smallest value? (a) -240 (b) -0.4 (c) r (d) 0.02
a
Let o = -85.78 + 81.78. Which is the biggest value? (a) o (b) -0.059 (c) -1 (d) -2 (e) 0
e
Let z = 6.961 - 6.921. Which is the third smallest value? (a) z (b) 16 (c) -4 (d) -5
a
Let i = -246 - -238.98. Let w = i - -7. Let z = 202 + -201.7. What is the second smallest value in -5, w, z?
w
Let l = -117/88 + 995/616. Which is the third biggest value? (a) -4 (b) 1/4 (c) 3/5 (d) -5 (e) l
b
Let m = -4233 + 4116.9. What is the smallest value in m, 0.5, -0.5?
m
Let z(h) = -h**2 - 5*h + 1. Let c be z(-6). Let o = 94169 + -94164. What is the biggest value in c, o, 33/2?
33/2
Let t = 2/33 + 25/132. Let m = -215/6 + 36. Let p = 0.21 - 0.21. Which is the biggest value? (a) p (b) m (c) t (d) 17
d
Let p = 3.9 - 3.814. Let r = -0.481 + p. Let w = 0.105 - r. Which is the second smallest value? (a) -2/9 (b) 0.2 (c) w
b
Let y = 6.466 - 5.916. Which is the second smallest value? (a) 0 (b) y (c) -2 (d) -6 (e) 3
c
Let h = 5553 - -2867. What is the biggest value in h, 0, 1?
h
Let x = 61/105 + 3/35. Let y = 36588 - 36584. Which is the fourth smallest value? (a) 2/7 (b) y (c) x (d) -13/2
b
Suppose -4*o - 20 = -8*o. Let x = -1.871 + 1.87. Let u = x + 2.001. Which is the smallest value? (a) o (b) -1 (c) -3 (d) u
c
Let f = -2.5045 - -0.5045. Which is the smallest value? (a) f (b) -5 (c) 2 (d) -1 (e) -0.2
b
Let n = -126 - 199. Let k = n + 325.5. Which is the third smallest value? (a) k (b) -2 (c) -22
a
Let h = 129.66 - 129.96. Which is the fifth biggest value? (a) 1/12 (b) h (c) 2/5 (d) -3 (e) 13/3
d
Let n = -1.07 + 1.02. Let p = 0.45 - 4.45. Which is the third smallest value? (a) n (b) p (c) 5
c
Let j = -0.07667 + -0.02333. Let r = 4 + -18. What is the biggest value in j, 0.4, r?
0.4
Let g = -8.9 - -11.36. Let f = g - -0.54. Which is the biggest value? (a) -3/5 (b) -2/3 (c) f (d) 0.5
c
Let c = -1.9898 + 1.4898. What is the third smallest value in -9, c, 4.7? | {
"pile_set_name": "DM Mathematics"
} |
. Let y be h/(-10) + (-7)/2. Sort -1, 0, y in increasing order.
y, -1, 0
Suppose 6 = 4*v - 17 - 1, 0 = -2*h - v. Let d = -0.1 - -0.1. Sort h, d, -15.
-15, h, d
Let q = -1 - -2. Let y = 1494 + -1493.7. Suppose 2*z + 2*c + c = -5, 2*c = 2*z + 10. Sort z, q, y in decreasing order.
q, y, z
Let o = -957 - -958. Put o, -683, 2 in decreasing order.
2, o, -683
Suppose 9*r + 1 = 10. Sort r, -2, -1, 11 in descending order.
11, r, -1, -2
Let u be (-13)/(-26)*(-3 + (-11)/(-1)). Sort 26, u, 1, -4 in decreasing order.
26, u, 1, -4
Let z = 6 + -11. Let n = -25689/10 + 2569. Put z, 2/27, n in descending order.
n, 2/27, z
Let d = 14 - 13.5. Let w = 3.8 + 73.2. Sort d, 3, 2/11, w in increasing order.
2/11, d, 3, w
Let s = -0.026 - 4.974. Let k = 6/41 - -52/205. Put k, s, 3, 0.3 in increasing order.
s, 0.3, k, 3
Suppose 8 = k + 2*v + 2, 5*k + 3*v - 16 = 0. Sort -1, -12, -2, k.
-12, -2, -1, k
Let l be (-4)/(-50)*(18 + -13). Sort l, 1, -0.3 in increasing order.
-0.3, l, 1
Suppose 0 = -f + 2*f + 3. Let p(m) = -m + 1. Let k be p(3). Sort k, 5, f in descending order.
5, k, f
Let u be ((-15)/25)/(4/(-15)). Let j(z) = -z**3 + 11*z**2 - 10*z - 7. Let d be j(10). Let c be 4/(-14) + (115/d)/(-5). Sort u, c, -3.
-3, u, c
Let w = 601 + -603. Sort -8, w, -5, 5 in ascending order.
-8, -5, w, 5
Let l = 7817 - 7812. Let p be (-2)/(-80) + (-2)/5. Sort -6, l, p in ascending order.
-6, p, l
Let b = 23.7 - 25. Let w = b + 1. Let k = -0.36 + 3.36. Put 2/37, k, w in decreasing order.
k, 2/37, w
Suppose -200*j = -204*j + 40. Suppose 18 = j*c - c. Let b be (-23)/4 - (-1)/(-4). Put b, c, 3 in descending order.
3, c, b
Let l be (-72)/(-33) - 4/22. Suppose -5*r - 3*p + p = -19, 5*p = 10. Suppose y + 20 = -2*i, -r*i - 3*y - 40 = y. Sort l, i, -2 in descending order.
l, -2, i
Suppose -36 = 2*u + 32. Let l be 9/15 + u/(-10) - 0. Put l, 2, -5, 3 in descending order.
l, 3, 2, -5
Let p = 0.036 + -59.036. Let y = 50.8 + p. Let m = -8 - y. Sort 2, -0.4, m in ascending order.
-0.4, m, 2
Let s = -3641 - -3643. Suppose 3*c + 6 = 2*n, 3*n - 2*c - 4 = -0. Let z be (-14)/8 + 1 + n. Put s, z, -1 in increasing order.
-1, z, s
Let f = 336 + -334. Put -0.4, f, -7 in ascending order.
-7, -0.4, f
Let c = -16.7 + 0. Let z = -17 - c. Sort -1/6, 7, z in decreasing order.
7, -1/6, z
Let n(w) = -w**2 - 12*w + 360. Let p be n(-26). Suppose -5*f - y - 20 = 0, 5*y - 79 + 29 = 5*f. Put p, f, 5 in decreasing order.
5, p, f
Let k be 0/2*1/2. Let u(h) = -2*h + 31. Let v be u(15). Let b be -1*(2 + 3)*v. Put -9, b, k in descending order.
k, b, -9
Let u = -0.62 - -0.9. Let t = 0.02 + u. Let q = -0.76 - -0.26. Sort t, q, -4 in decreasing order.
t, q, -4
Suppose 146*k - 5*d = 144*k, 0 = -4*k + 3*d. Sort -3, 3/22, 2, k.
-3, k, 3/22, 2
Suppose 0 = x + 4*x - 15. Let b be (-1 - 0)/(x/3). Suppose 5 = 5*p - 5. Put 4, b, p in decreasing order.
4, p, b
Suppose -3*b + 11 = -1. Let g = -46 + 51. Sort -5, b, g in decreasing order.
g, b, -5
Let s be (-7)/(-7) + (-1 - -1). Let v be s/5 - (-315)/(-75). Let n = -8 - v. Sort -2, n, -3 in increasing order.
n, -3, -2
Let m = -0.106 - -0.01. Let l = 0.004 - m. Let c = -0.03 - 0.37. Sort l, c, -4 in ascending order.
-4, c, l
Let u be (-312)/432 + (-6)/(-27). Put -0.1, -5, -1/8, u in descending order.
-0.1, -1/8, u, -5
Let m(o) = -2*o - 6. Let t be m(-8). Suppose 0 = -0*f - 5*f - t, -4*f = p + 12. Put 0, 28, p, 4 in decreasing order.
28, 4, 0, p
Suppose i - 2 = 5. Suppose -4 - 24 = i*o. Sort -1, -3, o, 0 in descending order.
0, -1, -3, o
Let n be 0*6/12*(-3)/3. Sort -1/2, 3, n.
-1/2, n, 3
Suppose 55*u = 73*u - 90. Let z(r) = 2*r. Let d be z(-1). Sort 2, d, u, -1.
d, -1, 2, u
Let p = 151 - 127. Let z be (-160)/p*9/3. Sort 1, z, -4, 2 in descending order.
2, 1, -4, z
Let b be (6/(2/(-1)))/(-2). Let s = 11.8 - 11.9. Sort 2/5, s, b, -5.
-5, s, 2/5, b
Let l(j) = 2*j**2 - j - 1. Let f be l(2). Suppose -f*v = 3*c + 62 - 8, -2*v = 2*c + 36. Let r be (-10)/(-12) + (-3)/c. Sort 8, -1, r.
-1, r, 8
Let k = 4 - 8. Let t be 74/19 - (0 - k). Sort -1/6, t, 11.
-1/6, t, 11
Let c = -109/3 + 35. Sort -4, 5, -1, c in ascending order.
-4, c, -1, 5
Let u = -797 - -802. Put -1, u, 10 in descending order.
10, u, -1
Let s be ((-2)/(-1))/1 - 1. Let o(t) = 10*t + 372. Let q be o(-36). Sort q, s, -4 in ascending order.
-4, s, q
Let j be (1 + -2)/((-2)/4). Suppose 5*h - 6 + 21 = 0, j*l - 2*h = 6. Suppose -4*t - 8 = 8. Put l, -3, t in ascending order.
t, -3, l
Let o = 1383 - 1284. Sort 2/13, o, -3 in descending order.
o, 2/13, -3
Let v be (-2 + -2)/((-7)/(-28)*-4). Put 0.5, -0.6, -1/3, v in decreasing order.
v, 0.5, -1/3, -0.6
Suppose -378 - 234 = 204*x. Suppose 0 = -6*c + 2*c + 12. Suppose -2*i - i + c = 0. Sort -5, i, x in increasing order.
-5, x, i
Let h = -87/119 + 10/17. Let g = -5.057 - -0.057. Put 0.4, -3/8, h, g in descending order.
0.4, h, -3/8, g
Let u(j) = 2*j - 4. Let y be u(4). Let x be (-3)/1*16/(-6). Suppose f + 7 = x. Sort f, y, -1 in increasing order.
-1, f, y
Let h = 0.1 + -5.1. Let s = -7387/33 - -1345/6. Let b = -2/11 - s. Put b, 5, h in ascending order.
h, b, 5
Let z(p) = -3*p + 18. Let w be z(7). Let h be -2 + w/1 + 3 + 0. Let g(q) = q**3 + 6*q**2 + 6*q + 4. Let r be g(-5). Sort h, 5, r in descending order.
5, r, h
Let s(y) = 2*y + 2. Let x be s(-1). Let w be x - -1 - (-29 + -1)/(-6). Put -2, 0, w in descending order.
0, -2, w
Suppose 0 = 2*b - 5 - 1. Suppose a - b*a = -8. Suppose 3*h + 0 = -a*q - 13, h = 3*q + 13. Sort q, 4, 1 in decreasing order.
4, 1, q
Let p be 93/(-27) - -3 - (-32)/(-144). Put p, -0.8, 0.2, 0.01 in increasing order.
-0.8, p, 0.01, 0.2
Let g = -5564/11 + 506. Sort -0.36, 5, -5, g in increasing order.
-5, -0.36, g, 5
Let a = 70.44 - 71. Let w = 0.64 + a. Sort -4, w, 2.
-4, w, 2
Let f be (-4)/(-27)*3/(-2). Let u(h) = -h**2 - 2*h + 168. Let c be u(12). Put 0.3, c, f, 4/7 in ascending order.
f, c, 0.3, 4/7
Let j = 3.941 - -0.059. Let y = -261 - -260.99. Sort -3/4, y, j, -3 in decreasing order.
j, y, -3/4, -3
Let d = -21 - -15. Let h(i) = 2*i**2 - 17*i - 10. Let o be h(9). Put -3, d, o, -2 in decreasing order.
o, -2, -3, d
Suppose 0 = -3*j + 60 - 6. Suppose 7*h + u + 8 = 4*h, -5*h = -3*u + j. Sort 4, h, -4 in ascending order.
-4, h, 4
Suppose -2 = -2*s + 2. Let m = 42 + -73. Let r = m + 30. Put r, s, -2 in ascending order.
-2, r, s
Let q(a) = -6*a**3 + a - 4. Let x(l) = -12*l**3 + l**2 + 2*l - 7. Let u(f) = -5*q(f) + 3*x(f). Let n be u(1). Put n, 4, 0 in descending order.
4, 0, n
Let d = 8439/19 + -444. Sort -2, 4/3, d in increasing order.
-2, d, 4/3
Let p = -3 + 7. Suppose 8*k - 5 - 11 = 0. Let y be (-3 - -2) + 1/(-3 + k). Sort -3, y, p in decreasing order.
p, y, -3
Let f = 4/199 - 434/1791. Put 3, -41, f in increasing order.
-41, f, 3
Let o = 38/3 - 25/2. Let u = -97 + 96.5. Put o, 1/8, u in ascending order.
u, 1/8, o
Let z = 197 + -197.2. Put z, 15, 1/4 in increasing order.
z, 1/4, 15
Let h = 60 + -88. Let n be ((-8)/h)/((-3)/(-42)). Sort -1, n, 1 in ascending order.
-1, 1, n
Suppose 18*b = 10*b - 128. Put b, -5, 4 in decreasing order.
4, -5, b
Let n(a) = a**2 - 4*a - 7. Let c be n(6). Let b be ((-7)/(-14))/(4/(-14))*4. Sort c, 1, b.
b, 1, c
Let u be ((-3)/(-6))/((-2)/(-20)). Suppose 5*y + 2 - 27 = -t, -4*t + 40 = u*y. Suppose 2*h - h = -3. Put h, -1, y in ascending order.
h, -1, y
Let x = -475 + 534. Put -3, x, 1 in decreasing order.
x, 1, -3
Let a be 0/(0 - (2 - 4)). Suppose 2*h - 6 - 2 = 0, -d - h - 26 = a. Let i = d - -32. Sort -5, -4, i in descending order.
i, -4, -5
Let a = 231581/394665 + -212/951. Let i = 3/83 + a. Sort i, 9, 3/4, 1 in descending order.
9, 1, 3/4, i
Let n = -1.5 + 0.1. Let j = n - -1.34. Let p = 0.94 + -0.94. Sort -4, p, j.
-4, j, p
Suppose -91*l = -44*l + 47. Sort l, -21, -5, -2 in descending order.
l, -2, -5, -21
Let h = 321 - 321. Let o be (-40)/15*6/(-4). Sort -5, 3, o, h in increasing order.
-5, h, 3, o
Let q = 2 + -1. Let x be (-1)/(2/4)*q. Sort -1, x, 0 in decreasing order.
0, -1, x
Suppose -19*o + 24*o + 15 = 0. Let d = -111 - -115. Put d, o, 0 in decreasing order.
d, 0, o
Let v = 24 - 24. Suppose v*x + 2*o = -2*x - 26, 3*o = 12. Let q = x - -22. Sort 4, 2, q in descending order.
q, 4, 2
Let v = -0.938 + -0.062. Sort -9, v, 0.1.
-9, v, 0.1
Let p be (-144)/(-80) + (-15)/9. Let f be 1*(-1)/(-4)*-1. Sort p, 0.5, f in increasing order.
f, p, 0.5
Suppo | {
"pile_set_name": "DM Mathematics"
} |
2 - 2500. Solve 5 = -y*g + 1, 2*m + 5*g + 10 = 0 for m.
0
Let f be (-1)/(-7)*1 - 5550/(-350). Suppose -2*c = 4*l - 18 - 6, -2*c = 2*l - f. Solve 3*a - 4*o = 2*a + c, -2*o = 4*a + 2 for a.
0
Suppose -f - 5*z = 0, -2*z + 8 + 10 = 4*f. Suppose -3*h - 123 = -f*s, 3*s + 175 = -3*h + 28. Let c = 50 + h. Solve -2 = a + g - 5*g, -c*g = 2*a + 4 for a.
-2
Let i(f) be the second derivative of f**4/12 - 2*f**3 - 43*f**2/2 + 99*f. Let a be i(15). Solve 3*s + a*s - 2*v = 21, 3*v = 2*s - 15 for s.
3
Let z(w) = w**3 - 3*w**2 + 36*w - 97. Let q be z(3). Solve 9*h - 4*h + 5*o = -15, h + 3*o + q = 0 for h.
1
Suppose -14 = -604*t - 14. Solve 3*z - 3*h - 2*h + 3 = t, z = -3*h - 1 for z.
-1
Suppose -5*q + 0 = 5, 5*g + 4 = -4*q. Let m be 46 - (2 + -6 - g). Suppose 34 - m = -4*o. Solve o*n - n - 2*d = 11, -n + 15 = 5*d for n.
5
Suppose 5*m + 79 = -4*a + 84, 4*m = -4*a. Solve m*n + 6 = 6*r - 5*r, -4 = -r + 3*n for r.
1
Suppose -2 = y - h - h, -2*y = 4*h - 20. Suppose 2*t - 2 = 3*i, 0 = -4*i + y*t - 0 - 8. Solve -5*q - i*n + 23 = n, -4*n + 12 = 2*q for q.
4
Let g = 4875 + -4872. Solve 3*x - 4*r + 0*r = -12, 8 = -2*x - g*r for x.
-4
Suppose -21*g - 90 = -26*g. Suppose -4*q - g = 2, 5*q = h - 34. Let v be -2 + 2 + -3 + 7. Solve 5*k + 2*u + 1 = h, v*u = -3*k + 2 for k.
2
Suppose 282 = 430*y - 367*y + 30. Solve y*p - 4*n = 0, -3*p + 121*n - 126*n = 0 for p.
0
Let r = -586 - -586. Suppose -7*g + 44 - 30 = r. Solve 2*t = -2*t - g*k - 10, 5*k = -3*t - 11 for t.
-2
Let w = -40 - -40. Suppose -3*n = 3*h + 21, -2*h - 6 - 4 = w. Let b be (5 + -4)*(n + 7). Solve 0 = 4*o + o - b*z - 15, -2*o - 14 = 3*z for o.
-1
Let m be (-7 + 4)/((-15)/18*108/120). Solve m*b + 12 = 7*b, -2*n + 5*b - 12 = 0 for n.
4
Suppose 780 = 29*f - 3*f. Solve 0 = l + 3*g + 20, 25*g = -5*l + f*g for l.
-5
Suppose 8 = 4*x, -2*f + 2*x - 5*x = -36. Suppose -16 = -19*o + f*o. Suppose 3*i = 11*i - 16. Solve 0 = i*u - a - o, 4*a = -0*a for u.
2
Suppose 3*i = -0*i + 2*c - 4, 0 = 4*i + c - 13. Suppose -46 = -5*z + n, -21*z = -17*z - 5*n - 20. Solve 0 = -2*g + 5*s - 15, -4*g + i*s = -0*g - z for g.
5
Let r(i) = 29*i - 751. Let v be r(26). Suppose 0 = -3*q - 2*q + 5. Suppose 9 - q = 4*p, -3*l - 3*p = -18. Solve -5*n = -k + 21, -n - 3*k + v = -l*n for n.
-5
Let w(r) = 2*r - 15. Let c be w(11). Suppose 2*j - 4*l = 18, -j + 2*l + c = 2*j. Let q be j/3 + 128/24. Solve -10 = 3*y - 1, -q*b - 4*y + 3 = 0 for b.
3
Suppose -g + 2 - 6 = 0, -3*c = 3*g - 2409. Let u = c - 805. Let n = 2 + 0. Solve 18 = -u*r - 4*m, n*m = 4*r - 2*m for r.
-3
Let b be -51*(-7)/21 + 1 + 5 + -8. Solve -2*v + 21 = 3*n, -4*v = 13*n - b*n - 2 for v.
3
Let r be (-6)/15 + 108/20 + -601. Let y = 596 + r. Solve x - 3*q = -3, 0 = 4*x - y*x - q + 1 for x.
0
Suppose 0 = 2*m - 2*h - 10, -m - 4*h - 287 = -292. Solve 0 = -m*i - f - 19, -4*i - 5 = 5*f + 6 for i.
-4
Let t(r) = -9*r - 72. Let o be t(-10). Let i be 1/(((-3)/45)/((-6)/o)). Solve -h = -3*a - 6, i = 3*h - 4 for a.
-1
Suppose 0 = -38*k + 36*k + 10. Let m = 20 - k. Suppose 3*q - 1 = -2*s - 10, 5*q = -m. Solve 3*d + s*d = 2*x - 11, 2*x - 5*d = 17 for x.
1
Suppose -9*t + 82 = m, -3*m + 41 = t - 75. Solve -2*n + 5*y = -9, -229*y = 5*n - 227*y - m for n.
7
Suppose 5*f - 4*c + 9 = -3, 0 = 4*f + c - 3. Suppose -3*z + 2 = -2*w - 6, -z - 3*w + 10 = f. Solve -1 - 4 = 3*y + n, 2*y - z*n - 6 = 0 for y.
-1
Let v be (18 + -18)/(2/(-1)). Suppose v*r - 4*r = r. Solve -8 = 3*g + 2*y, r = 2*g - 6*y + y - 1 for g.
-2
Let y(o) = 3*o**3 - 10*o**2 - o - 34. Let m(d) = 2*d**3 - 9*d**2 - 32. Let k(f) = 4*m(f) - 3*y(f). Let c be k(-7). Solve -2*q - 3 = b + c, -q + 20 = 5*b for q.
-5
Suppose 12*w = 5*w + 588. Suppose w*m - 76*m = 16. Suppose -5*o - 7*r + 28 = -4*r, -o = -5*r. Solve o*x - 2*a + 6 = 4*x, 5*x = m*a - 6 for x.
0
Let t be (61 + 9)/(-1 + 0). Let o(z) = 15*z + 10. Let u be o(5). Let k = u + t. Solve -p = 3*r - k, -5 - 2 = -r - p for r.
4
Suppose j - 2*u = 160, -3*u + 4*u - 172 = -j. Let g be 264/j - 6/(-14). Solve -4*r + 3*d - 8*d = -25, 4*r - 18 = g*d for r.
5
Suppose 16 = -5*q + q. Let j(m) = m**2 - 2*m - 78. Let l be j(-8). Let t be (-18)/12 + (l - (-2)/q). Solve t = -2*u - 4*w + 16, 3*u - 2*w + 3*w - 14 = 0 for u.
4
Let y(t) = -36*t**2 - 1314*t - 645. Let l be y(-36). Let o(s) = -s**2 - 8*s - 4. Let i be o(-6). Solve 5*b - 9 = i*b, u - 5 = l*b for u.
-4
Suppose -4*a - 3*v = 12, 0 = 2*a - 7*v + 12*v + 6. Let t be a/4 + 1 + 45/12. Solve -t*r + 3*k - 20 = 0, -3*r = -r + k + 10 for r.
-5
Suppose -2*s - 4*w + 12 = 0, 5*s + w = -4*w + 20. Let b = 18 - 17. Let o be -10*((-2)/4)/b. Solve -o*u - 3*y - s*y = -5, -3*y = 9 for u.
4
Suppose 4*a - v - 770 = -6*v, -5*v + 185 = a. Suppose -2*j = -4*m - 27 - 27, -2*m + a = 5*j. Solve 5*n - j = 4*s, n - 3*s = -0*s + 14 for n.
5
Let z = -84 + 71. Let v = 16 + z. Solve 5*q + 25 + 7 = -v*m, -m = 5*q + 24 for q.
-4
Suppose 6*a = -1276 + 1306. Solve 0 = -6*x + 5*y + 2, -24*y = a*x - 26*y - 6 for x.
2
Suppose 146 = 44*i - 74. Solve 4*w + i*h + 12 = 6*h, 3*w = 2*h - 14 for w.
-2
Suppose 113*y = 112*y + 5. Solve -u = 3*o - 11, 4 = y*u - 7*o + 5*o for u.
2
Suppose 2*b + 661 - 679 = 0. Solve -b = -i - 3*k, 4*k = -4*i + 1 + 3 for i.
-3
Let v(g) = 8*g**3 + 7*g**2 - 19*g - 8. Let k be v(-5). Let s = 745 + k. Solve 4*p - 4 = -4*l, 5*p - s = 2*l - 2 for p.
1
Suppose 12*x = 647 - 539. Let l = -7 - -1. Let y = x + l. Solve y*h - 2*a + 1 = 2*h, -h - a = -2 for h.
1
Let u(j) = -j**2 - 4*j + 2. Let q be u(0). Solve q*h - 2*f + 3*f - 7 = 0, -2*h = -f + 3 for h.
1
Let o(f) = -9*f + 571. Let g be o(63). Solve -24 = g*i + 4*b - 0*b, -4*i + 4*b = 0 for i.
-3
Suppose -203 = -4*k - 3*j, -k + 18*j + 53 = 21*j. Suppose 95*n - 85*n = k. Solve 3*i - 2*y - 11 = 0, -i - n*y = i + 18 for i.
1
Suppose -8*g + 181 - 141 = 0. Solve -26 = t + 5*v, g*t + 5*v + 29 = t for t.
-1
Let t(s) be the first derivative of s**4/4 - 4*s**3/3 - s**2/2 + 7*s - 2. Let f be 968/(-363)*(-6)/4. Let d be t(f). Solve 3*g + 3*n = -g, d*n = -12 for g.
3
Suppose -2*u = -3*u + 3*l + 20, 4*l + 64 = 4*u. Let r be (-28)/6*1269/(-2961). Solve -2*i - 3*t + 10 = t, -u = -4*i - r*t for i.
3
Let x = -18538 + 18566. Solve -2*z + 11 = -l, -3*l + 31*z - 26*z = x for l.
-1
Let v(n) = 30*n + 380. Let d(p) = 2*p. Let f(j) = 25*d(j) - v(j). Let x be f(19). Solve -5*q + c + 9 = 0, x = 4*q - 2*c - 2*c - 20 for q.
1
Let o be (340/24)/5 + 123/738. Solve -3*n - o*c + 15 = 0, c = n + 4 - 3 for n.
2
Suppose 0 = -4*g - 5*t + 64, -26 + 90 = 4*g - 4*t. Solve -g*z = 3*j - 15*z - 11, -3*z - 2 = 2*j for j.
5
Suppose -9 = 54*w - 51*w. Let y be (0/(5 + w))/(4 - 5). Solve 2*g = -3*b - 2, y*b - b + 4*g - 24 = 0 for b.
-4
Suppose -3*d + 5*o = -47, -13*d + 9*d - 5*o = -51. Suppose -2*m + p = -d, -3*m + 2*p + 12 = -9. Solve -4*c + 2*s + 10 = 0, 2 = -c + 6*s - m*s for c.
1
Let q(n) = -6*n**3 - 2*n - 1. Suppose -4*g - g = -4*s - 9, 1 = 3*s + 4*g. Let i be q(s). Let x = i - 7. Solve 4*d - u + 5 = 0, 3*d + x*u - 2*u = -10 for d.
0
Suppose 0 = 281*j - 279*j - 10. Suppose 3*d + 5 = 4*z, -j*z = d + 13 - 43. Solve 2*r = 2*w + 3*r - 11, -d*r - 10 = -3*w for w.
5
Let f be 2565/(-18) - 3*1/6. Let k = -141 - f. Solve -k*x = t - 14, t - 9 = -x - 0*t for x.
5
Let o = 41 + -31. Suppose 13*p = o*p + 12. Solve -p*n + 3*n = -1, 2*i = -n + 11 for i.
5
Suppose -2*u - 2*t - 43 + 29 = 0, -2*t - 24 = -3*u. Solve 5*g = -u*b - 15, 33*b + 9 = 38*b - 3*g for b.
0
Suppose 0 = 4*y - 35 - 97. Let o be ((-2)/18*-3)/(1/y). Solve 3*j - i = o, -5*j - 12 = -j + 4*i for j.
2
Suppose -101*k + 168 = -95*k. Suppose k*l - 21*l = 28. Solve -l*q + 4 = 4*m, -3*m + 4 = q - 5 for m.
4
Suppose 9*q - 12*q + 63 = 3*h, 0 = 3*h + q - 57. Let v(t) = -t + 24. Let j be v(h). Solve -j*k - 3*y + 15 = -2*k, -y = -k + 2 for k.
3
Let x be -4*(16/4)/(-8) - -5. Suppose 9*t = 10*t + x. Let o be (-1)/(-7) - 13/t. Solve o*s = 4*p - 8, 3*p = -4*s + p + 24 for s.
4
Let k(s) = 201*s + 12265. Let y be k(-61). Solve -3*i - 13 = 5*d, -50*i = -y*d - 51*i - 9 for d.
-2
Let u(f) = -f**2 + 30*f + 3. Let m be u(30). Solve -4*s + 9 = p + m, -2*s = p - 2 for p.
-2
Suppose -2*l = -3*a + 645, 0 = -l - 3. Suppose a = 2*m + 211. Solve -2*b - m = c, b + c = 6*c - 6 for b.
-1
Suppose 3*n + 4*t - 31 = 9, 3*n + 2*t - 26 = 0. Solve -4*a + 8*a = -n*q + 32, 3*q + 4*a - 28 = 0 for q.
4
Suppose 0 = 5*j - 5*r + 40, -j + 4*r = 7*r - 8. Let t be 2/((-12)/21)*j/14. Solve | {
"pile_set_name": "DM Mathematics"
} |
5*y + 25, y = c*o + 4*y + 15 for o.
0
Suppose 0 = 4*o - 4*c - 8, -4*o + 2*o - 4*c = 8. Solve o = 4*l - 20, 3*w = 6*l - 4*l + 5 for w.
5
Suppose -v - 3*v - 15 = -3*i, -i + 5 = -5*v. Let q = 0 - 0. Solve q = i*j, p + 4 = -2*j + 1 for p.
-3
Let v be -1 + 11/3 + (-8)/(-6). Solve v*k + 7*i - 2*i = 36, 4*i - 28 = -3*k for k.
4
Suppose 3*r = -4*d + 22, 2*r + 4*d - 12 = 4*r. Suppose -r*o + 2 = 2*a, 4*a + 3*o - 6 = -0*o. Solve 4*x = -3*p - 29, -a*x + 8*x = 4*p - 13 for p.
-3
Let f be -1 + (-2)/(-2) + 3. Suppose -5*v - 12 - 8 = -5*y, 0 = -4*v + 20. Suppose -195 = -y*t - 4*t. Solve 0 = -f*m + t, -p = -6*p - m for p.
-1
Suppose 4*s + 2 - 18 = 0. Suppose s*r + 10 = 22. Solve 0*u = -r*i - 2*u - 20, -3*u = 4*i + 28 for i.
-4
Suppose -33 = -4*h - 21. Solve -h*c + 5 = -5*a, -3*c - 6*a + 2*a + 23 = 0 for c.
5
Suppose -3*x + 2*f + 9 = 0, 4*f + 5 = 2*x - 1. Solve -2*b + 8 = 2*l, -2*b + 12 = x*l - b for l.
4
Let m be ((-11)/(-2))/((-2)/8). Let r = -752 - -794. Let k = r + m. Solve k = 4*f + 2*i, f + i + 1 = 8 for f.
3
Let f = 1 - 0. Suppose f = -4*j + 9. Suppose s + j*h - 8 = -0, -h + 5 = s. Solve -5*a - s*r - 37 = -5*r, 2*r = 5*a + 33 for a.
-5
Suppose -i + 72 = i. Let o be ((-14)/8)/((-3)/i). Solve 2*t = -5*z - 0*t + o, -3*t - 1 = z for z.
5
Suppose -10 = -z - 4*z. Let d = 4 + -4. Suppose q - 2*q + 11 = d. Solve 6*i - 2*i = -3*t + q, z*t - 3*i = 13 for t.
5
Suppose 464 = 47*a + 135. Solve 4*p - 25 = 3*k, -5*k - 28 = -5*p + a for p.
4
Let z be (-2 - 6/(-4))/(6/(-24)). Suppose -z*q = -q - 7. Suppose 2*v - 3 = 5. Solve -c = -v*m - 2*c + q, c = -3*m + 5 for m.
2
Let y(o) = 5*o**2 + o + 2. Let k be y(-2). Let h be ((-12)/(-15))/((-4)/(-10)). Let r be 0 - -1 - (-2)/h. Solve w + k = 2*d + r*d, -4*d = w - 12 for w.
-4
Let q = 375 + -374. Solve 0*o + q = o - p, 0 = -o + 3*p + 9 for o.
-3
Suppose -o - 3*k = -8*k - 77, 0 = o + 5*k - 27. Suppose -4*r = 16, y - 2*r - o = 3*r. Let i be (0 + 2)/(2/3). Solve -15 = i*w, -4*t + y = -w - 3*w for t.
3
Let s = -46 + 78. Let u = -29 + s. Solve -2*m - 6 = -y - y, u*m + 4*y - 19 = 0 for m.
1
Suppose f + 10*f - 33 = 0. Solve -4*j + 0*h - 2 = f*h, 5*j + 4*h + 3 = 0 for j.
1
Suppose -4 = -2*z, -5*s - 2*z - 3*z = 210. Let x = s + 47. Solve 5*v + 0*v + d = -22, 2*v = -x*d - 14 for v.
-4
Let g be (-1 + 56/40)*10. Solve f - 25 = -5*p, g*f = -4*p + 3 + 17 for f.
0
Let a be (-188)/(-3) + 34/102. Let y be (3/a*18)/((-2)/(-14)). Solve -y*g + g - 24 = -4*v, 5*g - 2*v = -22 for g.
-4
Let o(c) = 3*c - 5. Let r be o(6). Suppose 5*g - 112 - r = 4*k, 5*g - 125 = 5*k. Solve 2*i = -t + 5, 4*i = -t + 2*t + g for t.
-5
Suppose -10*o + 62 = -11*o. Let h = o + 87. Solve -5*b - 5*r = h, 5*r + 30 = 2*b + 5 for b.
0
Suppose 0 = 5*p - 2*b - 18, -4*p - 15*b = -12*b - 19. Solve p*t + 11 = 5*f, 2*f - 3*f - 13 = 3*t for t.
-4
Suppose -7*z = -4*s - 2*z - 4, -3*s + 5*z = 8. Suppose s - 20 = -4*r. Solve -4*u = -2*w - 10, 3*u - r*w - 14 = 1 for u.
1
Suppose -h + 5*h + 30 = 2*v, 0 = v + 5*h + 20. Solve 2*k + 5*c + v = -4, 5*k = -5*c for k.
3
Suppose -9*l + 172 = -4*l - 4*g, l + 3*g - 42 = 0. Let t(y) = y**2 - 3*y + 4. Suppose s - 6 + 3 = 0. Let u be t(s). Solve l = u*m + 2*c + 6, 0 = 2*c - 10 for m.
5
Suppose 7*h - 3*h + 840 = 0. Let a be (-1)/5 + h/(-50). Let y be (-24)/32 + 31/a. Solve n + y = -0*k + k, -n - 5*k = -23 for n.
-2
Let v = 25 + -24. Let l = 4 - v. Solve -4*b + 7*t + l = 2*t, 5*b + 4*t - 14 = 0 for b.
2
Let p(k) = k**2 + 7*k + 12. Let s be p(-3). Solve r - d = -1, -2*r + 3*d = -s*d for r.
-3
Let i be 128/24 + 2/(-6). Suppose 5*y - 2*v - 9 = -5*v, 5*y + 5*v = i. Solve -5*d = y*b + 12, -d - 3 - 17 = 5*b for b.
-4
Let i be -4 + (-4 - (-12 - 0)). Suppose -72*w + 67*w + 20 = 0. Solve 5*v - 25 = i*b, 19 = -w*b - 0*v - v for b.
-5
Let b(s) = -s**2 + 21*s - 37. Let j be b(19). Solve -3*o = 4*q + j + 16, -o - q = 4 for o.
1
Suppose -16 = -3*b + s, 0 = -0*b + b + 4*s + 12. Let y be b/((-2)/(-3)*15/5). Solve c + 0*c + 5*l - 29 = 0, -2*c + y*l = 2 for c.
4
Let v(p) = p**2 + p - 3. Let k be v(-3). Suppose -5*r = -14 + 4. Suppose -k = b - r*b. Solve b*u + 4*j + 11 = 0, -2*u - j = -6*u - 21 for u.
-5
Suppose w - 2 = -3*b + 17, 0 = -5*w + 4*b. Solve 0 = 2*p + 3*v + 8, 0 = -w*p + v - 6 - 10 for p.
-4
Let y = 196 - 187. Solve -3*n + 3*x - y = -0, 4*x = 5*n + 15 for n.
-3
Let a be 126/15 + (8/(-5))/4. Suppose 10 = a*t - 14. Solve i = t*y + 2, 3*y - 5*i + 12 = -10 for y.
1
Suppose 0 = j - 11 + 9. Suppose r + 22 = 4*o + 2*r, 0 = -o - 2*r + 2. Let f be o - (-3 - 6/(-2)). Solve 0 = -5*h + 2*a - 6, -7*h - j*a = -2*h - f for h.
0
Let n = -11 - -16. Let k be n/4 - -2 - (-1)/(-4). Solve 5 = k*d + 3*y + 2*y, 17 = -5*d - 2*y for d.
-5
Let d = 528 - 516. Solve -20 = -2*c - 5*t, -c - d = -0*c - 3*t for c.
0
Let g be 104/5 - 8/(-40). Suppose 18*t = g*t + 57. Let v = t - -24. Solve -4*p = -u + 16, v*p + u = -36 + 7 for p.
-5
Suppose 0 = 4*j - j - 6. Let w = -3092 + 3101. Let n be 1 - (-3)/((-1)/(-1)). Solve -j*g = 2*l + l + w, 0 = -4*l - n for g.
-3
Suppose 3*s - 7*s - 18 = -2*w, 5*s = 2*w - 21. Solve -4*p = w*u - 1, -4*u + 2*p + 0*p = 28 for u.
-5
Let r(a) = a**3 - 8*a**2 + 16*a - 14. Let k be r(6). Solve -k = 4*f + o + o, -3*f - o - 8 = 0 for f.
-3
Suppose -3*g = g - 20. Solve g*x = 5*t - 25, 2*t = -t - x + 11 for t.
4
Suppose 116 = 5*f - 4*h, 2*f - 36 = -0*h - h. Suppose t - 8*l = -4*l + 13, 5*l + 10 = 0. Solve 0 = 2*k - n - 7, -t*k = 4*n - f - 4 for k.
4
Let x = -1362 + 1370. Solve b + 0*n - 4*n + x = 0, 5*b - 4*n + 24 = 0 for b.
-4
Let z(c) = c**3 + 5*c**2 + 3*c - 7. Let n be z(2). Solve h = -5*t - 23, -h = 5*t - 2*h + n for t.
-5
Suppose 0*k - 2*k + 4 = 0. Solve 3*o = -k*l + l - 5, 0 = l - 1 for o.
-2
Suppose -8 = -4*f - 396*o + 397*o, 2*o = 2*f - 4. Let p be 10/8*-1*-4. Solve f*k - 2 = p*i - 4, -2*k + 10 = i for i.
2
Let z(x) = x**3 - 7*x**2 + 5*x + 16. Let b be z(6). Let u be (-2 + b/4)*12/3. Solve 0 = -c - 3*c + 2*g - 6, 0 = -u*c + 5*g - 15 for c.
0
Let x be (-5)/7 + 10/(-35). Let i(s) = 5*s**2 + 3*s + 2. Let b be i(x). Suppose -b*w - 4 = -6*w. Solve -4*u = w*h + 12 + 12, -4*h + 5*u = -17 for h.
-2
Let u be ((-2)/2)/(2/(-36)). Suppose 4*m - 2 - u = 0. Suppose -4*l = m*a + 2 - 18, -5*l + 20 = -4*a. Solve -3*v + 5*i + 6 = -a, 2*i = -5*v - 21 for v.
-3
Let a(t) = 0*t - 3*t + 2*t. Let j be a(-3). Suppose -304 = 9*c - 331. Solve r = j*g - 7, -3*g + 3*r + c = -6 for g.
2
Let j(s) = s**2 + 23*s + 18. Let q be j(-20). Let t be 8/(-28) + (-138)/q. Solve 2*h + 4*g = 16, -5*h + t*g = -3 + 15 for h.
0
Let u(n) = n**2 - 2*n. Let i be u(3). Solve -i + 23 = -5*g + 5*l, g + 4 = -l for g.
-4
Let s = -1585 + 1589. Solve -l + s*x - 10 = -x, x - 2 = -3*l for l.
0
Let y(a) = -a**2 + 6*a - 8. Let x be y(6). Let u = 298 + -309. Let p = x - u. Solve 3*w - 4*k + 14 = w, p*k = 6 for w.
-3
Suppose 0 = -3*c - 2*k + k + 93, -4*k + 116 = 4*c. Suppose -4*x - 8 = -c. Let b be x + (-2 - 0) + 0. Solve i - 3*o = -8*o + 25, -b*i - 5*o = -40 for i.
5
Let w be ((-1)/(-2) - 3)*16/(-10). Solve 3*s = m, w*m = 5*s + 8*m for s.
0
Let r = -8 - -12. Suppose -7*u + 2*u - o + 12 = 0, 0 = -5*u - 5*o. Solve u*z + 5*h + 9 = 0, -4*z = -5*h - 27 + r for z.
2
Suppose -89 = 70*u - 509. Let l = 8 + -4. Suppose -24 = -4*b - b - k, b + l*k = 1. Solve 2*c = w + 5, -5*w - 4*c = b + u for w.
-3
Suppose -6 - 42 = 4*p. Let f = p + 24. Let v = f - 11. Solve -4*q + v + 3 = 0, -1 = 3*g + 2*q for g.
-1
Let d = 527 - 524. Suppose -4*f - 2*o + 16 = 0, 3*f - 16 = -4*o + 1. Suppose -f*m + 12 + 3 = 0. Solve 3*s = -m*r + 6, 4*s - 4*r + d*r = 8 for s.
2
Let v = -271 + 271. Solve -3*g + v*q = -2*q, -g = -2*q for g.
0
Let w be 172/60 + -3 + (-94)/(-30). Suppose -4*y + 24 = 3*u, u - 3 + 8 = w*y. Solve 0 = u*j - q + 12, 16 = 7*q - 3*q for j.
-2
Suppose 7*i - 12*i + 18 = 2*g, -6 = -3*i. Let y = 32 + -23. Suppose 16 + y = 5*b. Solve h - 2 = -3*s, b*s - g*h = 2*s + 22 for s.
2
Let q = -173 - -182. Solve 5*a = 2*o - q, -2*o + 0*a - 3*a = 15 for o.
-3
Let l(s) = -3*s - 22. Let p(b) = b - 1. Let n(j) = -l(j) - 4*p(j). Let c be n(6). Solve -1 - 14 = 4*a - i, 0 = a - 5*i - c for a.
-5
Let u(w) = w**3 + 6*w**2 - 9*w + 6. Let o be u(-7). Let y = 28 - o. Let h = 8 - y. Solve -3*j + 6 = h, 0*m + 14 = -4*m - 3*j for m.
-5
Suppose -w = 3*x - 11 - 12, 4*x = -3*w + 29. Suppose -3*q + x*q = -60. Let p = 0 - q. Solve -4*j + 12 = 2*s, 3*s - 4*s - 4*j = -p for s.
0
Let | {
"pile_set_name": "DM Mathematics"
} |
9*d for d.
3
Solve 0 = 3*m - 4 - 2 for m.
2
Solve -5*f - 44 = -19 for f.
-5
Solve -7 = 6*l + 23 for l.
-5
Solve -16 = 83*m - 99*m for m.
1
Solve -11*v + 83 - 28 = 0 for v.
5
Solve 9*d - 2*d = -21 for d.
-3
Solve -6*u - 19 = 5 for u.
-4
Solve -10*w = 6*w - 19*w for w.
0
Solve 0 = 127*r - 111*r + 80 for r.
-5
Solve 79*x - 86*x + 28 = 0 for x.
4
Solve 4*m = 5 - 13 for m.
-2
Solve -7*x = -2*x for x.
0
Solve 14*m + 8 = 22 for m.
1
Solve -47*v + 50*v = -9 for v.
-3
Solve -154*b = -142*b for b.
0
Solve 518 + 42 = 80*t for t.
7
Solve 62 = -5*i + 87 for i.
5
Solve 0 = -80*j + 55*j - 125 for j.
-5
Solve q = 5*q - 8 for q.
2
Solve 700 - 610 = 15*b for b.
6
Solve -5*l = -9*l for l.
0
Solve 402 - 474 = -9*g for g.
8
Solve 0 = -19*q + 24*q for q.
0
Solve -7*h + 14 = -14*h for h.
-2
Solve -45*g = 1 - 46 for g.
1
Solve -5*f - 40 = -13*f for f.
5
Solve -14*r - 371 + 315 = 0 for r.
-4
Solve 6*s = 3*s - 3 for s.
-1
Solve 22*s - 51 = 5*s for s.
3
Solve -19 = -2*t - 25 for t.
-3
Solve 0 = 3*s - 27 + 3 for s.
8
Solve 7*f - 1 = -36 for f.
-5
Solve 4 - 4 = 4*v for v.
0
Solve -3*x - 17 = -5 for x.
-4
Solve 14*f + 476 = 448 for f.
-2
Solve 6*o - 61 = -43 for o.
3
Solve 67 = 2*z + 59 for z.
4
Solve 0 = -25*j + 27*j + 8 for j.
-4
Solve 9*u - 13*u = -16 for u.
4
Solve 5*o = -17*o - 110 for o.
-5
Solve 10 = 21*a - 31*a for a.
-1
Solve -122*o = -121*o + 9 for o.
-9
Solve -29*m + 5 = -34*m for m.
-1
Solve 43*l + 18*l - 244 = 0 for l.
4
Solve -35*c + 370 = 2*c for c.
10
Solve -19*z - 42 = -13*z for z.
-7
Solve 6*r - 5 = 5*r for r.
5
Solve 0*t + t = -5*t for t.
0
Solve 135 = 20*n - 25 for n.
8
Solve -933*a = -932*a - 7 for a.
7
Solve 14*q = -55 - 1 for q.
-4
Solve 234*m = 242*m + 32 for m.
-4
Solve -18*r + 16 = -20 for r.
2
Solve 117 - 97 = -5*d for d.
-4
Solve 6*r - r = 0 for r.
0
Solve 36 = -0*s + 12*s for s.
3
Solve -5*j + 79 = 89 for j.
-2
Solve 3*t + 592 - 568 = 0 for t.
-8
Solve -9*v + 1 = -8*v for v.
1
Solve -3*i - 21*i = 0 for i.
0
Solve 4*g - 9 = -13 for g.
-1
Solve 0 = -24*o + 47 + 49 for o.
4
Solve 0 = 13*z - 11*z + 6 for z.
-3
Solve 12*o - 34 + 10 = 0 for o.
2
Solve 2*q - 13 - 1 = 0 for q.
7
Solve -2*x - 51 + 41 = 0 for x.
-5
Solve -20 = -17*c + 14 for c.
2
Solve -2*f + 10 - 8 = 0 for f.
1
Solve -10*m = -30 - 30 for m.
6
Solve -95 - 19 = 19*s for s.
-6
Solve -155 = -10*a - 125 for a.
3
Solve 67 = 40*p - 53 for p.
3
Solve 239*w - 229*w + 50 = 0 for w.
-5
Solve 0 = -4*m - 4171 + 4175 for m.
1
Solve 35 + 19 = -9*m for m.
-6
Solve 0 = 3*i - 7 - 2 for i.
3
Solve 6*i - 1 + 25 = 0 for i.
-4
Solve 12 = -60*y - 48 for y.
-1
Solve 0 = -7*k + 6*k + 2 for k.
2
Solve 4*b - 7 + 11 = 0 for b.
-1
Solve -452 = -7*q - 396 for q.
8
Solve 53 = -i + 55 for i.
2
Solve -19*r - 32 = -11*r for r.
-4
Solve 0 = 112*u - 34*u + 234 for u.
-3
Solve 5 = z - 0 for z.
5
Solve -16 - 12 = -14*p for p.
2
Solve -50 + 68 = -18*v for v.
-1
Solve 0 = -2*r - 13 + 23 for r.
5
Solve 0 = z + 3*z + 16 for z.
-4
Solve 314 = 5*d + 319 for d.
-1
Solve -6*b + 3446 - 3404 = 0 for b.
7
Solve 3*w = -2*w for w.
0
Solve 10*z + 4 = 11*z for z.
4
Solve 0 = -48*i + 36*i - 24 for i.
-2
Solve 12 = 130*s - 127*s for s.
4
Solve 146*w - 488 = 96 for w.
4
Solve -47*r = 16 - 63 for r.
1
Solve 0 = -f - 5 + 10 for f.
5
Solve -105 = 18*v - 33 for v.
-4
Solve 382*a + 44 = 371*a for a.
-4
Solve -1 = -4*h - 5 for h.
-1
Solve -1 - 17 = -6*u for u.
3
Solve -10*j + j - 36 = 0 for j.
-4
Solve 0 = -47*a + 48*a + 7 for a.
-7
Solve 8*z - 48 = -56 for z.
-1
Solve -k - 75 = 24*k for k.
-3
Solve -j = 5*j - 18 for j.
3
Solve -36*r = 14*r + 300 for r.
-6
Solve -568*z + 557*z - 110 = 0 for z.
-10
Solve -291*s + 20 = -281*s for s.
2
Solve -4*d + 20 = 24 for d.
-1
Solve 0 = -2*x - 25 + 23 for x.
-1
Solve -2*m + 46 = 21*m for m.
2
Solve -17*o + 12*o = -5 for o.
1
Solve 14*d = 12*d - 4 for d.
-2
Solve -16 = -6*b - 40 for b.
-4
Solve -27 = -10*x - 7 for x.
2
Solve 34*a - 28 = 38*a for a.
-7
Solve 3*u - 8 + 5 = 0 for u.
1
Solve -305*v + 303*v = 6 for v.
-3
Solve -30*m + 9 = -27*m for m.
3
Solve -73*m + 19*m + 270 = 0 for m.
5
Solve -116*d + 14 = -123*d for d.
-2
Solve -14 - 1 = -3*l for l.
5
Solve -24*n + 6 = 6 for n.
0
Solve 2 = 124*u - 122*u for u.
1
Solve 0 = 3*b + 7*b for b.
0
Solve -6*q + 289 = 235 for q.
9
Solve 8*s + 1 + 7 = 0 for s.
-1
Solve -60 + 44 = -8*w for w.
2
Solve 42*j - 127 = -1 for j.
3
Solve -13*t - 67 = -158 for t.
7
Solve -p - 16 = -18 for p.
2
Solve -68 = -17*h + 17 for h.
5
Solve -45 = -11*k + 2*k for k.
5
Solve 4 = -6*h - 2 for h.
-1
Solve 0 = -5*y + 7 - 12 for y.
-1
Solve 195*i - 12 = 183*i for i.
1
Solve -22*x + 2 - 112 = 0 for x.
-5
Solve 7*b + 19 = 47 for b.
4
Solve 60 = 37*b + 245 for b.
-5
Solve 279 - 175 = 13*d for d.
8
Solve 33*q - 51*q = 90 for q.
-5
Solve 43*c - 238 = 20 for c.
6
Solve 11*u = 10*u - 3 for u.
-3
Solve 30*q = 10*q + 140 for q.
7
Solve 26*b - 54 = -184 for b.
-5
Solve 27*b = 56*b for b.
0
Solve -59*g = -94*g + 280 for g.
8
Solve -4*o = -5*o - 5 for o.
-5
Solve j - 10 + 15 = 0 for j.
-5
Solve 21 = 47*z - 26 for z.
1
Solve -70 = 12*b + 2 for b.
-6
Solve -23*d - 133 = -4*d for d.
-7
Solve -15 = -245*l + 248*l for l.
-5
Solve 10*c + 21 = 17*c for c.
3
Solve 10*c = 3*c + 7 for c.
1
Solve 13*g = 10*g for g.
0
Solve -47*c = -52*c for c.
0
Solve -90 = 13*q - 51 for q.
-3
Solve -5*i + 7 - 27 = 0 for i.
-4
Solve 0*y + 2*y - 2 = 0 for y.
1
Solve 9*d - 112 = -7*d for d.
7
Solve -27*w = -31*w + 20 for w.
5
Solve 0 = 73*t - 69*t + 16 for t.
-4
Solve 7*b + 149 = 121 for b.
-4
Solve -225 = -7*y - 190 for y.
5
Solve 0 = u + 5 for u.
-5
Solve -10*y = 87 + 13 for y.
-10
Solve 5*n + 5*n = -20 for n.
-2
Solve -57*a = -357 + 72 for a.
5
Solve -9*f + 3*f - 24 = 0 for f.
-4
Solve -21 = 5*l - 26 for l.
1
Solve 0 = -5*t + 77 - 92 for t.
-3
Solve 15 = -5*w + 5 for w.
-2
Solve -3*m + 84 = 18*m for m.
4
Solve -2*a - 5 = 5 for a.
-5
Solve -40*n + 8 = -41*n for n.
-8
Solve 12*s - 40 = 2*s for s.
4
Solve 0 = 1048*x - 1045*x for x.
0
Solve -5*q + 328 = 293 for q.
7
Solve 7*u + 41 = 27 for u.
-2
Solve 15 = 5*z - 5 for z.
4
Solve -107 + 135 = 14*z for z.
2
Solve 0 = 85*n - 84*n + 3 for n.
-3
Solve -26 + 24 = 2*d for d.
-1
Solve 15*l - 13*l - 6 = 0 for l.
3
Solve -2*q + 9 = 13 for q.
-2
Solve 0 = -5*v - 62 + 52 for v.
-2
Solve 13*a - 10*a + 3 = 0 for a.
-1
Solve p + 7*p = -32 for p.
-4
Solve 8*q - 7*q = -1 for q.
-1
Solve -43*u = -u + 4*u for u.
0
Solve 235 = -43*f + 63 for f.
-4
Solve 315*h - 5 = 320*h for h.
-1
Solve -77 = -1407*j + 1396*j for j.
7
Solve -60 = -16*j + 28*j for j.
-5
Solve 24 = 1177*b - 1174*b for b.
8
Solve -8 + 4 = -u for u.
4
Solve 2 = -2*l - 2 for l.
-2
Solve 11 - 1 = -2*p for p.
-5
Solve -70 + 90 = -4*f for f.
-5
Solve 133 = -51*s - 122 for s.
-5
Solve -250 + 244 = -3*g for g.
2
Solve -2*p = 17 - 7 for p.
-5
Solve -85*y - 5 = -84*y for y.
-5
Solve -3*o - 4 = -1 for o.
-1
Solve -47*x = 399 - 23 for x.
-8
Solve 13*k + 97 - 123 = 0 for k.
2
Solve 42 = -461*j + 467*j for j.
7
Solve 12*c = 11*c + 5 for c.
5
Solve 0 = -28*r - 190 + 302 for r.
4
Solve 369*m - 50 = 359*m for m.
5
Solve 18 = 8*k - 5*k for k.
6
Solve 19 = 19*j - 0 for j.
1
Solve 37*t - 34*t - 15 = 0 for t.
5
Solve 98 = 9*d + 17 for d.
9
Solve -20*f - 47 + 27 = 0 for f.
-1
Solve -3*v - 40 = -28 for v.
-4
Solve 351 - 127 = 28*i for i.
8
Solve -19*u = 4*u + 92 for u.
-4
Solve 19*c - 30*c = 0 for c.
0
Solve 7*o - 4 = 5*o for o.
2
Solve -3 = -13*z + 12*z for z.
3
Solve -45 = 2*q - 43 for q.
-1
Solve 61 = -108*a - 47 for a.
-1
Solve 367 = 4*r + 399 for r.
-8
Solve 0 = 127*f - 2*f + 500 for f.
-4
Solve -2*l - 2 = 6 for l.
-4
Solve 8*w - 30 = -38 for w.
-1
Solve 12 = 5*v - 13 for v.
5
Solve 1256*c - 80 = 1248*c for c.
10
Solve 0 = 13*k - 4 - 35 for k.
3
Solve 34*w + 70 = 240 for w.
5
Solve 13*v - 497 + 484 = 0 for v.
1
Solve -17*j + 330 = -72*j for j.
-6
Solve 31*j - 7 = -69 for j.
-2
Solve -138 - 167 = 61*h for h.
-5
Solve -296 - 80 = -47*o for o.
8
Solve 0 = -3*j - 6 - 6 for j.
-4
Solve 197 = d + 195 for d.
2
Solve -10 = 5*o - 7*o for o.
5
Solve 28*r + 16 = 24*r for r.
-4
Solve 15 = -491*c + 494*c for c.
5
Solve -12*o + 82 = 106 for o.
-2
Solve -17 + 53 = 9*j for j.
4
Solve 0 = 48*y - 52*y - 12 for y.
-3
Solve 36*y = 13*y - 138 for y.
-6
Solve -u = -9 + 5 for u.
4
Solve 9*h - 96 = -69 for h.
3
Solve 0 = 6*q - q + 20 for q.
-4
Solve 28*v - 131 - 9 = 0 for v.
5
So | {
"pile_set_name": "DM Mathematics"
} |
nder when 29522 is divided by 14702.
118
Calculate the remainder when 10770320 is divided by 2717.
132
Calculate the remainder when 1966878 is divided by 21614.
4
Calculate the remainder when 21351 is divided by 830.
601
Calculate the remainder when 311054 is divided by 15551.
34
What is the remainder when 24549 is divided by 1471?
1013
Calculate the remainder when 35770173 is divided by 239.
238
What is the remainder when 2551038 is divided by 434?
420
What is the remainder when 3325 is divided by 3121?
204
What is the remainder when 515734 is divided by 37?
28
Calculate the remainder when 1064116 is divided by 3721.
3631
What is the remainder when 183433534 is divided by 2496?
2494
Calculate the remainder when 8568674 is divided by 2856216.
26
What is the remainder when 47706277 is divided by 387?
13
What is the remainder when 1213033 is divided by 474?
67
Calculate the remainder when 7662280 is divided by 1915538.
128
Calculate the remainder when 1400757 is divided by 280150.
7
Calculate the remainder when 2193976 is divided by 18.
10
What is the remainder when 37148278 is divided by 2857557?
37
What is the remainder when 823689 is divided by 6864?
9
Calculate the remainder when 402042 is divided by 22322.
246
What is the remainder when 38133502 is divided by 462?
22
Calculate the remainder when 9957024 is divided by 129312.
0
Calculate the remainder when 747923 is divided by 988.
7
What is the remainder when 1087953 is divided by 1283?
1252
What is the remainder when 20293880 is divided by 85991?
4
Calculate the remainder when 2348479 is divided by 15655.
229
What is the remainder when 157678811 is divided by 1715?
1711
Calculate the remainder when 2477113 is divided by 8028.
4489
Calculate the remainder when 32067546 is divided by 27.
24
What is the remainder when 109686 is divided by 33?
27
Calculate the remainder when 63735 is divided by 4245.
60
What is the remainder when 1206206 is divided by 15871?
10
What is the remainder when 141346 is divided by 3452?
3266
What is the remainder when 2199473 is divided by 18?
17
Calculate the remainder when 4013780 is divided by 170.
80
Calculate the remainder when 890770 is divided by 1371.
991
Calculate the remainder when 545066787 is divided by 30.
27
What is the remainder when 4257913 is divided by 1438?
1433
What is the remainder when 608321 is divided by 17617?
9343
What is the remainder when 28922781 is divided by 122?
119
Calculate the remainder when 3586809 is divided by 174.
147
Calculate the remainder when 9488153 is divided by 1339.
1338
Calculate the remainder when 105932207 is divided by 248.
247
What is the remainder when 385550 is divided by 698?
254
What is the remainder when 1378340 is divided by 459428?
56
What is the remainder when 1145013 is divided by 773?
200
What is the remainder when 81999 is divided by 20328?
687
Calculate the remainder when 4793156 is divided by 295.
291
Calculate the remainder when 137608 is divided by 68692.
224
What is the remainder when 7227446 is divided by 871?
759
Calculate the remainder when 5895827 is divided by 43672.
107
Calculate the remainder when 783784 is divided by 148.
124
Calculate the remainder when 535433 is divided by 928.
905
Calculate the remainder when 42528256 is divided by 2745.
2716
Calculate the remainder when 3466 is divided by 3362.
104
What is the remainder when 15093 is divided by 1958?
1387
What is the remainder when 353871292 is divided by 9?
4
What is the remainder when 17138252 is divided by 483?
446
What is the remainder when 668967 is divided by 35208?
15
What is the remainder when 3358450 is divided by 79963?
4
Calculate the remainder when 256447 is divided by 3851.
2281
Calculate the remainder when 6078576 is divided by 22.
20
What is the remainder when 4621238 is divided by 15?
8
Calculate the remainder when 2819033 is divided by 199.
198
Calculate the remainder when 44042 is divided by 3388.
3386
Calculate the remainder when 1770405 is divided by 1437.
21
Calculate the remainder when 610496 is divided by 304771.
954
Calculate the remainder when 1298441 is divided by 539.
529
What is the remainder when 298031478 is divided by 33?
30
Calculate the remainder when 58525 is divided by 29203.
119
What is the remainder when 163124781 is divided by 16?
13
What is the remainder when 15787 is divided by 11956?
3831
Calculate the remainder when 421203 is divided by 787.
158
Calculate the remainder when 620256 is divided by 77435.
776
Calculate the remainder when 28125 is divided by 1220.
65
Calculate the remainder when 12630671 is divided by 1804377.
32
Calculate the remainder when 56108169 is divided by 463.
440
Calculate the remainder when 2018922 is divided by 71.
37
Calculate the remainder when 92336 is divided by 4910.
3956
Calculate the remainder when 2914527 is divided by 971494.
45
Calculate the remainder when 34560 is divided by 392.
64
What is the remainder when 66323 is divided by 1739?
241
What is the remainder when 104883230 is divided by 7?
4
What is the remainder when 45129713 is divided by 514?
513
Calculate the remainder when 34661 is divided by 4898.
375
What is the remainder when 7492 is divided by 1377?
607
What is the remainder when 46402482 is divided by 46402477?
5
What is the remainder when 27409 is divided by 27090?
319
What is the remainder when 1805220 is divided by 112825?
20
Calculate the remainder when 98260614 is divided by 8.
6
What is the remainder when 144916 is divided by 3293?
24
What is the remainder when 28332 is divided by 4625?
582
Calculate the remainder when 767357624 is divided by 25.
24
Calculate the remainder when 153286 is divided by 1246.
28
Calculate the remainder when 71649 is divided by 16689.
4893
What is the remainder when 97809 is divided by 428?
225
What is the remainder when 61818 is divided by 30153?
1512
What is the remainder when 2056607 is divided by 60?
47
Calculate the remainder when 422784 is divided by 6213.
300
Calculate the remainder when 2646111 is divided by 57.
0
Calculate the remainder when 4530555 is divided by 1470.
15
Calculate the remainder when 854815 is divided by 2705.
35
What is the remainder when 12492827 is divided by 38?
23
What is the remainder when 16903037 is divided by 2664?
2621
What is the remainder when 878590 is divided by 361?
277
What is the remainder when 914733 is divided by 130674?
15
Calculate the remainder when 1509831377 is divided by 18.
17
Calculate the remainder when 2429765 is divided by 669.
626
Calculate the remainder when 2043269 is divided by 11678.
11297
Calculate the remainder when 22469509 is divided by 58.
19
What is the remainder when 3732888 is divided by 106650?
138
What is the remainder when 215368 is divided by 513?
421
What is the remainder when 404704 is divided by 20196?
784
Calculate the remainder when 3108376 is divided by 1035986.
418
What is the remainder when 2216224 is divided by 3979?
3900
What is the remainder when 974984 is divided by 78?
62
Calculate the remainder when 4156243 is divided by 41.
32
What is the remainder when 29655966 is divided by 2017?
15
Calculate the remainder when 5845670 is divided by 1948556.
2
What is the remainder when 16698488 is divided by 29?
27
What is the remainder when 176754631 is divided by 3013?
3012
Calculate the remainder when 661517 is divided by 220417.
266
Calculate the remainder when 14986265 is divided by 2997252.
5
Calculate the remainder when 808744 is divided by 404366.
12
What is the remainder when 84098 is divided by 63?
56
What is the remainder when 1248932 is divided by 1248625?
307
What is the remainder when 157871 is divided by 91?
77
Calculate the remainder when 61969716 is divided by 1018.
1002
What is the remainder when 3472463 is divided by 25913?
121
What is the remainder when 46253314 is divided by 1987?
1915
What is the remainder when 12437518 is divided by 639?
22
Calculate the remainder when 233938 is divided by 1041.
754
What is the remainder when 168211 is divided by 954?
307
Calculate the remainder when 5279005 is divided by 1759192.
1429
What is the remainder when 31308000 is divided by 37?
6
Calculate the remainder when 309492 is divided by 5384.
2604
Calculate the remainder when 474003 is divided by 236909.
185
Calculate the remainde | {
"pile_set_name": "DM Mathematics"
} |
*2 - 109 wrt d.
48*o**2 - 4*o
What is the derivative of -f**4 + 26*f**3 + 189?
-4*f**3 + 78*f**2
What is the second derivative of 1621*p**3*r**4 + 2274*p**3 - p**2*r + p*r**5 wrt r?
19452*p**3*r**2 + 20*p*r**3
What is the third derivative of 39*b**2*c**3 - 4*b**2*c + 11*b*c**2 wrt c?
234*b**2
What is the second derivative of 16*t**5 + 4*t**4 + 11*t**2 + 4345*t wrt t?
320*t**3 + 48*t**2 + 22
What is the third derivative of 10195*n**3 + n**2 + 7433*n wrt n?
61170
Find the third derivative of 105*f**6 - f**4*v**3 - f**2*v - 2*f*v**3 wrt f.
12600*f**3 - 24*f*v**3
Find the third derivative of b**3*f**3*r - 28*b**3*f**2*r - 4*b**3*f - 20*b*f**3*r + 2*f**3 + 2*f**2 wrt f.
6*b**3*r - 120*b*r + 12
Find the third derivative of -3565*f**3 + 31*f**2 + 2*f wrt f.
-21390
What is the third derivative of 19220*j**4 + 52*j**2 + j - 1?
461280*j
What is the second derivative of 2*q*v**2 - 2*q - 13*v**2 + 7*v + 4 wrt v?
4*q - 26
Find the second derivative of -n**2*v**2 - 11*n**2*v - 2*n**2 + 84*n*v**3 + 2*n*v**2 - v wrt v.
-2*n**2 + 504*n*v + 4*n
What is the third derivative of 2*n**3*s**4 - 5*n**3*s + 283*n**2*s**4 + 7*s**2 - 5 wrt s?
48*n**3*s + 6792*n**2*s
What is the third derivative of -142*p**5 + 23*p**2 - 15 wrt p?
-8520*p**2
What is the derivative of 4*s**3*y**2 + s**3*y - s**3 - 92*s*y**3 - 917*s + 2 wrt y?
8*s**3*y + s**3 - 276*s*y**2
What is the third derivative of 15*a*g**3*o - a*g**2*o**3 - 11*a*g**2*o**2 - a*o**3 - 5*g**3*o**3 - o wrt g?
90*a*o - 30*o**3
Find the third derivative of -131*m**6 - 2*m**3 - 496*m**2.
-15720*m**3 - 12
Find the third derivative of -490*y**5 - 444*y**2.
-29400*y**2
What is the third derivative of -14858*b**3 + 14367*b**2 wrt b?
-89148
Find the second derivative of -4*a**3*n**2 - 14*a**3*n - 3*a**2*n - 10*a*n**2 wrt n.
-8*a**3 - 20*a
Find the second derivative of 9*f**2*w + f**2 + 45*f*w - 3*w wrt f.
18*w + 2
What is the third derivative of -8*g**6 + 144*g**2?
-960*g**3
What is the second derivative of 97*p**2 - 8*p - 11 wrt p?
194
Differentiate -b**4*w - 27608*b*w - 8449*w with respect to b.
-4*b**3*w - 27608*w
Find the second derivative of 1766*f**2*z**3 + 278*f*z**3 + 11*z**3 wrt f.
3532*z**3
Find the third derivative of -6762*z**4 - 228*z**2 - 6*z + 3 wrt z.
-162288*z
What is the second derivative of -19*l**5 - 3*l**4 + 3*l**3 + 1547*l wrt l?
-380*l**3 - 36*l**2 + 18*l
Find the second derivative of -5*n**2*u - 13*n**2*y**2 + n*y**2 + 13*n*y + 2*u wrt n.
-10*u - 26*y**2
What is the first derivative of -195*n**4 - 489?
-780*n**3
What is the first derivative of -274*a**2 + 67 wrt a?
-548*a
What is the second derivative of 1030*j**2 + 7*j - 15 wrt j?
2060
Find the third derivative of 334*j**5 - 703*j**2 wrt j.
20040*j**2
What is the third derivative of -i*n**2*w**2 + 5*i*n*w + 3*i*w**5 + 30*n**2*w**5 - n**2 + 3*w**2 wrt w?
180*i*w**2 + 1800*n**2*w**2
Find the first derivative of 4097*m**2 - 3277.
8194*m
Find the third derivative of -25*v**5 + 107*v**2.
-1500*v**2
Find the third derivative of -6546*c**3*d**3*x**2 - 14*c**2*d**2*x**2 - 7*c**2*d*x**2 - c*d**3*x - x**2 wrt c.
-39276*d**3*x**2
Differentiate -13*f**3*v**2 - 52*f**3*v + 1589*f**3 wrt v.
-26*f**3*v - 52*f**3
Differentiate -6522*k - 19974.
-6522
Find the first derivative of -4*i**3 + 44*i - 1010 wrt i.
-12*i**2 + 44
Differentiate -2*k**2 - 147*k - 613.
-4*k - 147
Find the second derivative of -8*a*j**3 + 2717*a*j*q - 225*j**3*q + j**2*q + 4*q wrt j.
-48*a*j - 1350*j*q + 2*q
What is the derivative of -7*p*w**3 - 21*p*w + p*y + 71*w**3*y + 4*w**2*y wrt p?
-7*w**3 - 21*w + y
What is the third derivative of 7*b**5*u + 2*b**4 + b**3*u - 93*b**3 + 26*b**2*u - 31*b**2 - 2*b wrt b?
420*b**2*u + 48*b + 6*u - 558
Differentiate -5*i**4 + i**2 - 126*i - 16590 wrt i.
-20*i**3 + 2*i - 126
Differentiate 28*y**3 + 5*y + 743 with respect to y.
84*y**2 + 5
Find the second derivative of -87*x**4 + 2*x**2 + 140*x.
-1044*x**2 + 4
What is the first derivative of -153*u**3*w - 3*u**3 - 2*w**4 + 10 wrt w?
-153*u**3 - 8*w**3
What is the second derivative of 431*s**3 + 6*s - 244?
2586*s
Find the first derivative of -174*n**3 - 235 wrt n.
-522*n**2
Find the first derivative of 16*p**3 - 2*p - 207 wrt p.
48*p**2 - 2
What is the second derivative of -410*j**2*l**2 + 7*j**2*l - 16*j**2 wrt l?
-820*j**2
What is the second derivative of 78*a**5 - 6*a**4 + 906*a?
1560*a**3 - 72*a**2
What is the second derivative of -2*n**5 + 114*n**3 - 202*n?
-40*n**3 + 684*n
Differentiate 3730*w - 3620 wrt w.
3730
Differentiate -20*m*y**2*z - 4*m*y**2 - 4*m*z + 24*m wrt y.
-40*m*y*z - 8*m*y
What is the third derivative of -q**3*s**2 - 10*q**3*s - 5*q**3 - 10*q**2*s - 3*q*s**2 - 11*q - 2*s**2 wrt q?
-6*s**2 - 60*s - 30
What is the first derivative of 404*d**4 - 1047 wrt d?
1616*d**3
Find the second derivative of 100*t**3 + 2*t**2 + 2*t - 151.
600*t + 4
What is the first derivative of -4*a**2*j + 14*a**2 - 2*a*j*v - 54*j*v + j - v - 2 wrt a?
-8*a*j + 28*a - 2*j*v
What is the second derivative of c**5*d + 35*c**2*d**3 + 34*c*d**3 - 2*c wrt c?
20*c**3*d + 70*d**3
What is the second derivative of 9*r**2*w + 5*r**2 + r*w - 48*r - w - 1 wrt r?
18*w + 10
What is the third derivative of 42*l**3 - 64*l**2 wrt l?
252
What is the third derivative of 2*l**2*m**3 - 23*l**2*m**2 + 295*l*m**3 - 3*l*m**2 + m**3 - 2*m wrt m?
12*l**2 + 1770*l + 6
What is the second derivative of b**5 - 77*b**3 - 8*b**2 - 45*b + 52?
20*b**3 - 462*b - 16
What is the second derivative of 4*a**5*o - 4*a**3*o + 28*a**2 - 29*a*o + 43*a wrt a?
80*a**3*o - 24*a*o + 56
What is the derivative of 234*j**3 - 18?
702*j**2
Find the second derivative of 9*b*t**2 - 2*b - 89*t**2 - 652*t wrt t.
18*b - 178
What is the first derivative of -404*i**2 - i + 236?
-808*i - 1
Find the second derivative of 2*d**2*j + 442*d**2 + 93*d*j - 2*d - 2*j + 7 wrt d.
4*j + 884
What is the third derivative of -13*l**3*t**2 - 5*l**3*t + 3*l**2*t + 21*l*t**2 wrt l?
-78*t**2 - 30*t
What is the third derivative of 873*u**4 + 649*u**2 wrt u?
20952*u
What is the third derivative of -a**3*g**2 + 3333*a**3*g + 3*a**2 + 44*g**2 + 12*g + 1 wrt a?
-6*g**2 + 19998*g
Find the second derivative of 17000*c**4 + 16037*c.
204000*c**2
What is the derivative of -4*n**2*s**2 + 2*n**2 + 731*n*s**2 - 3905*n wrt s?
-8*n**2*s + 1462*n*s
What is the first derivative of 899*z + 198 wrt z?
899
What is the third derivative of 303*m**4 + 252*m**2?
7272*m
What is the third derivative of -361*u**4 - u**3 - 5*u**2 - 6*u - 15 wrt u?
-8664*u - 6
Find the third derivative of -2*t**3*y**3 - 147*t**3*y**2 + 14*t**3*y + t**2*y**4 + 1348*t*y**3 wrt y.
-12*t**3 + 24*t**2*y + 8088*t
What is the third derivative of -3*o**5 - 10*o**4 - 168*o**2?
-180*o**2 - 240*o
What is the derivative of n**2*x**3 - n**2 - 8*x**3*z + 3*x*z + 117*z + 4 wrt x?
3*n**2*x**2 - 24*x**2*z + 3*z
Find the first derivative of 335*j**3*v + 28*v - 3 wrt j.
1005*j**2*v
What is the derivative of 3*d**2 + 536*d*t**2 + 25*t**2 + 9*t wrt d?
6*d + 536*t**2
What is the second derivative of 50*a**2*y**3 + 33*a**2*y + 8*a*y**5 + 5*a*y + 2*a wrt y?
300*a**2*y + 160*a*y**3
Find the second derivative of 3*o**5 - 31*o**4 - 27*o + 1 wrt o.
60*o**3 - 372*o**2
Find the third derivative of -47*j*v**4 - 24*j*v**2 - j + 4*o**3*v**4 - o**3*v**2 wrt v.
-1128*j*v + 96*o**3*v
Find the third derivative of 18793*i**3 - 59*i**2 - i - 2.
112758
What is the second derivative of -h**2*q*r**3 + h**2*q*r**2 - 3*h**2*q + 3*h*q*r**3 + 5*h*q - 11*h wrt h?
-2*q*r**3 + 2*q*r**2 - 6*q
What is the third derivative of 11*d**3*g*v**2 - 3*d**3*g*v - 6*d**3*v**2 - 2*d**2*g*v**2 - 81*d**2*g*v - 17*d*v**2 - g*v**2 wrt d?
66*g*v**2 - 18*g*v - 36*v**2
What is the derivative of j*t**2 + 18*j*t + 37*j + 3*t**2 - 19*t - 109 wrt t?
2*j*t + 18*j + 6*t - 19
What is the second derivative of 5005*h**2 - 12*h - 1 wrt h?
10010
What is the derivative of 431*c + 242 wrt c?
431
Find the third derivative of 382*g**3 + 3*g**2 - 13*g.
2292
What is the second derivative of 380*o**4 - 8*o**3 - 3428*o - 1?
4560*o**2 - 48*o
Differentiate -3*i*q**2 - 110*i*q + 4587*q**2 wrt i.
-3*q**2 - 110*q
What is the third derivative of -342*s**2*t**3 - 4*s**2*t**2 + 2*s*t**3 - 2*s*t - 10*t**2 wrt t?
-2052*s**2 + 12*s
What is the derivative of 5*b*j*v**2 + 4*b*j + b*v**2*z + 5*b*z - 3*j*v**2*z + j*v**2 - 135*j*v*z wrt b?
5*j*v** | {
"pile_set_name": "DM Mathematics"
} |
n 17 is divided by v?
7
Let v = -319 - -444. Suppose 13*w - v = 135. Calculate the remainder when 45 is divided by w.
5
Suppose b - 11 = 4*v + 32, 4*b = -3*v + 134. Let h(r) = -b - 28*r + 2*r**2 + r**2 + 4*r**2 - 8*r**2. Calculate the remainder when h(-21) is divided by 23.
20
Let f(w) = -w**2 + 18*w - 14. Let c = -3 + -18. Let o = c + 28. Calculate the remainder when f(o) is divided by 16.
15
Let a(w) = -331*w - 15. Let y be a(3). Let l be ((-4)/(-6))/((-28)/y). Suppose -2*p = -58 - l. Calculate the remainder when 77 is divided by p.
36
Suppose -3*g + 0*r + 2*r = -3784, g - 1256 = 2*r. What is the remainder when 5071 is divided by g?
15
Suppose 318 + 138 = 18*o - 336. Calculate the remainder when 873 is divided by o.
37
Let q = 978 - 412. Let c = q + -549. Calculate the remainder when 78 is divided by c.
10
Suppose -3*r + 2*r + 16 = 0. Suppose 0 = -12*p + 679 + 2021. Suppose p = 2*a + 3*y, 338 = -34*a + 37*a + 5*y. What is the remainder when a is divided by r?
15
Suppose -21*n - 1550 = -31*n. Let l = n + -69. Calculate the remainder when 600 is divided by l.
84
Let z = -12 - -7. Let q(f) be the third derivative of f**4/12 + 4*f**3 - 10*f**2 + 32*f. Calculate the remainder when 95 is divided by q(z).
11
Suppose -54*t = -59*t + 70. Suppose 9*w = -4*g + t*w + 153, -15 = 3*w. What is the remainder when 90 is divided by g?
26
Let f = 23904 + -23815. Calculate the remainder when -1 + (886*-1)/(-2) is divided by f.
86
Let t(x) = 9*x - 33. Let i be t(4). Suppose -i*n = a - 67 - 168, -5*n = -a + 275. What is the remainder when a is divided by 42?
40
Let y(m) = 4*m**2 - m - 2. Let z = 12 + -10. Suppose 0*i - 2*r = i - 23, -i = 3*r - 18. What is the remainder when i is divided by y(z)?
9
Suppose 4*q + 4*v = q - 8, 2*q + 5*v + 17 = 0. Let y be (-10)/(-25) - 34968/(-155). Suppose -q*i = -y + 2. Calculate the remainder when i is divided by 20.
16
Suppose 0 = 3*l - 4*y + 26, l + 2*y = -5 + 3. Let z be ((-8)/l)/((-76)/(-285)). Suppose 12*r - 301 = z*r. Calculate the remainder when r is divided by 16.
11
Suppose 8*d = 9*d - 8. Let i be (1*-1 - (d + -80)) + 3. Let q = -60 + i. Calculate the remainder when q is divided by 13.
1
Let u(p) = -2*p**3 + 9*p**2 + 57*p + 10. Let j(s) be the first derivative of s**3/3 - 11*s**2/2 + 6*s - 8. What is the remainder when u(8) is divided by j(11)?
0
Let w be 4/(-34) + 1 + 420/102. Let h(d) = 26*d - 20. Calculate the remainder when h(w) is divided by 37.
36
Let v = 386 - 169. Let x = -84 + v. Calculate the remainder when x is divided by 8.
5
Suppose -4*i - 96 = -7*i. Let v be (1/(-2))/((-5)/(-200)). Let l = 74 - v. Calculate the remainder when l is divided by i.
30
Let m be (-27932)/(-52) + 2/(-13). Suppose 3*r + 187 = -4*f - 355, 3*f + m = -3*r. What is the remainder when (12 + -5)*r/(-7) is divided by 35?
34
Let n = 689 + -389. Let k = 409 - n. What is the remainder when k is divided by 39?
31
Let q = -147 + 144. Let k be -1 + 64 + (0 - q) + -2. Suppose -k = -3*p + p. Calculate the remainder when p is divided by 11.
10
Let f(r) = 2667*r - 2482. Calculate the remainder when f(1) is divided by 29.
11
Let u = -138 + 140. Calculate the remainder when 53 is divided by (1/u)/(27/540).
3
Let k(x) be the first derivative of x**3/3 + 19*x**2/2 - 53*x - 38. Suppose 0 = -2*s + 66 + 22. What is the remainder when k(-26) is divided by s?
41
Suppose -330*n - 214 - 136 = -344*n. What is the remainder when 1498 is divided by n?
23
Suppose 6*r - 2012 = -14*r - 252. Calculate the remainder when 245 is divided by r.
69
Let h = 2896 + -2873. Calculate the remainder when 2757 is divided by h.
20
Calculate the remainder when 9/5 - 3657618/(-765) is divided by 266.
261
Let v(g) be the third derivative of -g**5/60 - 25*g**4/24 + 38*g**3/3 + 7*g**2 + 5. Calculate the remainder when v(-25) is divided by 27.
22
Suppose -272 = -13*h - 2*h - 2*h. Let o(p) = -46*p - 1. What is the remainder when o(-1) is divided by h?
13
Let o(r) = -r**3 + 6*r**2 + 8*r - 8. Let n be o(7). Let a(u) = -u**2 - 8*u + 28. Calculate the remainder when a(0) is divided by (-16)/(-1)*n/(-2).
4
Let z = -12116 - -31325. Calculate the remainder when z is divided by 170.
169
Suppose 4*k + 8 + 1 = 3*x, 3*x - 12 = 5*k. Calculate the remainder when (k + 1 - -4)*205/5 is divided by 28.
26
Let u = 2817 + -2777. Calculate the remainder when 144 is divided by u.
24
Suppose -199*c + 6909 = -90998 - 30448. What is the remainder when c is divided by 78?
21
Suppose -3*o + 0*o - 5*i = -43, -4*o - 5*i + 49 = 0. Suppose -32 = -o*m + 4. Calculate the remainder when 68 is divided by m.
2
Suppose 7*h + 14*h = 2268. Suppose -2*o + h = 62. What is the remainder when o is divided by 17?
6
Let c(h) = 92*h**2 - h. What is the remainder when c(-3) is divided by 20?
11
Suppose 13*z - 6*t - 18986 = 11*z, 28465 = 3*z + 5*t. What is the remainder when (z/(-30))/(2/(-6)) is divided by 10?
9
Suppose 3*l = 4*d + 14, -9*d + 8*d + 44 = 4*l. Suppose -6*p = 5*u - 3*p - 151, -3*p - 23 = -u. What is the remainder when u is divided by l?
9
Suppose -28160 = 21*i - 34166. Let f(h) = -3*h - 4. Calculate the remainder when i is divided by f(-7).
14
Let x(i) = 13*i**2 - 3*i - 36. Let u be x(6). Let z = -209 + u. Calculate the remainder when z is divided by 71.
63
Suppose 24*r - 32871 - 121521 = 0. What is the remainder when r is divided by 174?
169
Let w be (22/(-11))/((-2)/17). Let c be (-12)/(-66) - 57/11. Let o = w + c. What is the remainder when o is divided by 3?
0
Suppose -658*j + 662*j = -2*y + 446, -4*y = 3*j - 342. Calculate the remainder when 2745 is divided by j.
105
Let m(p) = -7*p**3 - 556*p - 1689. Calculate the remainder when m(-3) is divided by 168.
0
Let n = 6067 + -6033. Calculate the remainder when 1699 is divided by n.
33
Let z(b) = -54*b + 676. What is the remainder when z(6) is divided by ((952/7)/8)/1?
12
Let m be (10/(-6) + 1)*(-3 - 315). Let u = 252 - m. Calculate the remainder when 77 is divided by u.
37
Let c be 5 + (-6)/(-12)*-10. Let g(b) = 2*b**3 - 2*b**2 - 2*b + 1. Let l be g(2). Suppose c = l*p - 770 + 10. What is the remainder when p is divided by 51?
50
Suppose -27 = -5*i + 28. What is the remainder when (-1265)/(-25) - 14/(-10) is divided by i?
8
Let l(o) = -6*o - 6. Suppose -4*v - 28 = -3*c, v = 3*c - 6 - 10. What is the remainder when l(-3) is divided by (26/8 + -2)*c?
2
Suppose -5*p + 48 - 13 = 0. Suppose a - 252 - p = 0. Calculate the remainder when a is divided by 24.
19
Let a = 108 + -65. Let p(l) = l**3 - 8*l + 11. What is the remainder when a is divided by p(3)?
1
Let k(f) = -f**3 + 35*f**2 - 61*f - 30. Let c be k(33). Let v = -109 + c. What is the remainder when 124 is divided by v?
20
Let m be 54/2 - -5 - 5. Suppose -10*r + m*r = 289. Let h(i) = 3*i**2 - 4*i. What is the remainder when h(4) is divided by r?
15
Let i = -5567 - -7718. Calculate the remainder when i is divided by 83.
76
Let a = -10 + 2. Let n = -4 - a. Suppose -d - 2*b + 23 = 0, 5*d + 25 = 4*b + 126. What is the remainder when d is divided by n?
1
Let w(i) = i**3 - 8*i**2 - 8*i - 2. Let q be w(9). Suppose 0 = -q*f - 98 + 3080. Calculate the remainder when 3/(-2)*5/((-45)/f) is divided by 24.
23
Suppose -2*m - 245 = -7*m. Let x = -29744 - -29887. Calculate the remainder when x is divided by m.
45
Suppose 83 = 5*l - 2*b, -19*l + 17*l + 2*b = -32. Calculate the remainder when 43 is divided by l.
9
Let u(w) = -w**3 + 10*w**2 + 36*w - 42. Calculate the remainder when 290 is divided by u(12).
86
Suppose 0 = -8395*k + 8394*k + 80. What is the remainder when 587 is divided by k?
27
Let q(z) = 4*z - 116. Let w be q(29). What is the remainder when (-9 - w) + 6 + 91 is divided by 30?
28
Suppose 6 = z + 2*z. Let c = 12 + z. Suppose -5*s = 5*u - 8*s - 96, 5*u - 144 = -3*s. What is the remainder when u is divided by c?
10
Let t be 18/5*(-3520)/(-24). Suppose -64*o + 56*o + t = 0. Calculate the remainder when o is divided by 4.
2
What is the remainder when 5737 is divided by (-3312)/(-87) + (-98)/1421?
37
Suppose -213*o + 130 = -208*o. Suppose o*m - 257 - 861 = 0. What is the remainder when m is divided by 25?
18
Suppose -g + 5*w = -19, 19*w - 22*w + 35 = g. What is the remainder when 113 is divided by g?
26
Suppose -3*c = -3*h - 5*c + 26, -h + 13 = 5*c. What is the remainder when 35*((-76)/(-7) - h) is divided by 22?
12
Wha | {
"pile_set_name": "DM Mathematics"
} |
*i = 14 for o.
2
Suppose 12*y - 11*y = 24. Let a = -22 + y. Let w = -1579 + 1580. Solve 3 = -u - 2*m, 0*u = 3*u + a*m + w for u.
1
Let l = -4210 - -4214. Solve -l*k - 23 = k - i, 2*i = -4*k - 10 for k.
-4
Suppose -a + 16 + 3 = 5*r, 0 = 2*r - 3*a - 11. Suppose -3*u + 18 = -w + r, -4*w + 9 = u. Solve i - w = q, 4*i - 2 = 8*q - 3*q for i.
3
Let m be (8/(-10))/((-2)/50). Let p = -32461 + 32461. Solve -o + m = -5*z + 49, p = 3*z + 4*o + 1 for z.
5
Let f(i) = -i**3 - 13*i**2 - 46*i - 78. Let n be f(-9). Solve n*m = 5*j + 9*m + 3, -m = -1 for j.
0
Let q = 297 + -295. Suppose 2*l + 2*r + 3*r = -39, 3 = -4*l + 5*r. Let p be (55/(-35) - -1)/(q/l). Solve y - 4 + 0 = -z, -2*y = -p*z - 8 for z.
0
Let f = 570 + -544. Suppose 23 = -d + f. Solve -l + d = 4*c - 2, 3*l + 13 = 2*c for c.
2
Suppose 5*f + 5*b = -5, -11*f + 16*f - 58 = 4*b. Solve 3*m + 22 = 14*r - 12*r, -m = 2*r - f for r.
5
Let l = -5864 - -5882. Let k(m) = -2*m**3 - m**2 + 1. Let c be k(-1). Solve 5*i + t = l, -t + 0 = -c*i + 10 for i.
4
Suppose -66*s - 33*s + 258 = -13*s. Solve -2*h - 1 = s*y, 3 = -5*y - 2*h + 8 for y.
3
Let q = 10 + -6. Let k(b) = 4*b**2 - 6*b - 16. Let d be k(5). Let w be (-294)/168 - d/(-8). Solve -7*j = -3*s - 6*j - q, 0 = -3*s + 2*j - w for s.
-1
Let j(p) = 6*p + 44. Let s be j(-7). Suppose -15 + 3 = -b - 2*k, -20 = -5*b - s*k. Solve b*n = -5*o + 6*n + 13, n + 17 = 4*o for o.
5
Let t(v) = v - 10*v + v**2 + 20 - v. Let h be t(8). Suppose -2*q + 2*u + 0*u - 10 = 0, -q = -h*u + 20. Solve 2*s + 0*c + 1 = c, 4*s + c - 13 = q for s.
2
Let z(r) = 32*r - 379. Let s be z(12). Suppose -8*o + 10*o - 11 = n, s*n + 19 = -2*o. Suppose 0 = w - 4*w. Solve 4*x + 4*m = 12, w*m - 3*m = -x + o for x.
3
Suppose 0 = -689*p + 660*p + 638. Solve 0 = 4*d - c + p - 19, 4*c + 5 = -d for d.
-1
Let r = 8678 + -8628. Solve -4*x = r*z - 49*z + 20, 5*x - 5*z = -25 for x.
-5
Let g = 535 + -517. Suppose g*p - 6 + 6 = 0. Solve 0*o - 12 = -2*m - o, -m + o + 3 = p for m.
5
Suppose 0*t = -10*t + 3*t - 9*t. Solve 0 = -3*x + 9, v + t = -x + 5 for v.
2
Let y be 48/10*(7/105*115 + -6). Let h = 18 + -11. Solve r - 2*n = -h, y*n - 25 = -5*r + 3*n for r.
1
Let a(u) = -34*u**2 - 35*u + 4. Let s be a(-1). Solve 0 = 2*o + 3*m - 0*m + 5, 5*o + 25 = s*m for o.
-4
Let w be 0 + 51/7 - 8/28. Let b(v) = v**2 - 9*v + 22. Let t be b(w). Let o be (t + -4)*2/16*16. Solve 0*a = -3*a + 3*u + 3, 0 = 2*a + u - o for a.
3
Let d(t) = 64*t - 1728. Let o be d(27). Solve -5*a - 3*j + 5*j = -13, 5*j + 20 = o for a.
1
Let h be 0/(63/9 - 6). Solve s - 4 = -4*s - 3*u, h = 3*u - 9 for s.
-1
Suppose 133*y - 134*y - 11 = -5*g, 3*g + 3*y = 3. Solve -g*p - 2*p - 2*i = 2, p + 5*i - 4 = 0 for p.
-1
Suppose -6*v - 4998 = 8*v. Let i = 361 + v. Solve 0 = b, -16 = -i*d - 0*b + 4*b for d.
4
Let m be (3 + -3)/(23 - 483/23). Solve m = 3*x - 3*n, -3 + 5 = 5*x - 4*n for x.
2
Suppose -95*b + 97*b - 2 = -4*r, 0 = -b + 4*r + 13. Solve -7 = -2*a - b*u, -u - u = 5*a - 7 for a.
1
Let y be -3*((-4)/(-10) + (-16)/15). Solve -3*d - 12 = 3*t, 4*d + y = 3*t + 7 for d.
-1
Let g = -1 + -4. Let m(u) be the second derivative of u**4/6 + 11*u**3/6 + 10*u**2 - 8*u + 6. Let n be m(g). Solve -2*z = z - 3*x - 9, z = -5*x + n for z.
5
Suppose -6 = -2*w + q, 5*q = q. Suppose w - 33 = -10*k. Solve 0 = 2*n + 3*n + k*b - 3, -4*n = -4*b + 4 for n.
0
Let x(r) = -2*r**3 + 7*r**2 + 36*r - 116. Let z be x(4). Solve -16 = -4*g - h, 15*g - z = 12*g + h for g.
4
Suppose -12*n + 39*n - 90 = i, -14 = -i + n. Solve 2*f = -3*m + 17, 3*m - 3*f + i = 15 for m.
3
Let x(t) = 20*t - 93. Let j be x(6). Suppose -15*v = 17*v - 64. Solve -w + j = 5*d + 4, 4*d - v*w = 24 for d.
5
Let i be 8 - (-1)/1*-1. Let r = 4804 + -4704. Suppose -12*k = -i*k - r. Solve 2*h + 8 = 5*q + 33, -4*h + k = 0 for q.
-3
Suppose 0 = 5*l - 18*l + 2*w + 140, 3*w + 35 = 2*l. Solve 4*y - 9*y + 13 = x, l = x + 4*y for x.
-2
Let r = 785 - 750. Solve 3*h - r = 4*s - 0*h, 0 = 3*s - 5*h + 40 for s.
-5
Suppose 0 = 88*w + 32*w - 480. Solve 0*d - 3*s = -d + 4, 0 = -d - 4*s + w for d.
4
Let z = 4811 - 4810. Solve 3*p = -2*r + 14, -9 = -2*r - p + z for r.
4
Let m be 30/12 - 6/(-4). Solve -x = m, d + 4*x = 6*x + 5 for d.
-3
Suppose 12 = -3*t, 4*p + 1 = -4*t + 5. Suppose 7*s = p*s + 4. Suppose -4*g + s + 2 = -4*a, -2*g + 18 = 2*a. Solve -4*m = -3*o - 4, 5*o - a*m = o for o.
4
Let h be 110/25 + (-4)/10. Let v be (-52)/(-18) + -5*(-3)/135. Solve -v = h*i + 5*p, i + 4*p + 3 = 5 for i.
-2
Let r be (-1)/((1 + -5)/(-796)). Let m = 21 - r. Suppose 12*j = j + m. Solve 3*n - 4*k - j = 8, 0 = -4*n - 4*k for n.
4
Let j(z) = z**3 + 9*z**2 - 23*z - 8. Let a be j(-11). Suppose 0 = n - a*p - 17, 0 = -7*n + 5*n + p + 14. Solve -3*g + 25 = 2*i, -6*i + n*i + 5*g = 20 for i.
5
Let x be (42/(-24))/((-12)/48). Solve 9*t = 13*t + 3*d - 11, -x = -2*t - d for t.
5
Let f(b) be the first derivative of 7*b**2/2 - 11*b + 29. Let g be f(3). Let d be (4/g)/((-3)/(-15)). Solve 5*h - 4*w = -3, 10 = -h - d*w + 1 for h.
-3
Let m = 8 + -11. Let v be (-1)/m - (-2 - 6/(-18)). Let o be ((-1)/2 + 15/10)*v. Solve -j = -3*y + 3*j + 32, -2*y + o*j = -18 for y.
4
Let j = -4 + 4. Suppose j = u + 2*u - 18. Suppose 16 = 2*d + u. Solve s = 4*m + 1, -5*s = m - 21 - d for m.
1
Suppose 9*b + 3*b = -2*b. Suppose 0 = -17*l - b. Suppose 5*n - 11*n + 78 = l. Solve -3*k = -4*z + n, -2*k - 3*z = -0*k + 3 for k.
-3
Let d(g) = g**2 + g**3 + 8 - 862*g - 3 + 832*g. Let c be d(-6). Solve 0 = -k + c*p - 9, -2*k - 7 = -k - 4*p for k.
1
Let g = -402 + 418. Solve 2*c - 5*i - g = 0, 0 = 4*c + 4*i + 7 + 17 for c.
-2
Suppose 2*s + 24 = 6*s. Suppose s*n = 14*n - 48. Suppose -x = 5*x + n*x. Solve -5*t = -4*d + 17, -3*d - 21 = -x*d + 3*t for d.
-2
Let j(s) = 4*s + 30. Let a(r) = r + 10. Let x(u) = -21*a(u) + 6*j(u). Let i be x(9). Let l be (-2)/((8/i)/4). Solve 2*k + 1 = l*c - 6*c, 24 = 3*c - 3*k for c.
3
Let j = 1916 - 1911. Solve -9 = 3*f + j*p - 4*p, -4*f - 12 = 4*p for f.
-3
Let y = -3050 + 3063. Solve 0 = -12*s + 4*o + 44, -8*o + y = -s - 11*o for s.
2
Let v = -2 - 12. Let h = -9 - v. Let p be 0 + 35/h - 4. Solve -6*g - 5*z = -2*g + 2, -4*g - p*z = 6 for g.
-3
Suppose -8 + 3 = -c. Let h be (10 - (8 - c)) + 5. Solve 5*y = 5*s - 27 + 7, 3*y = 5*s - h for s.
0
Suppose 3*o + 0*g - 4*g = 6, -3*g = -2*o + 3. Solve 5*s - 30 = 5*q, -2*s + o = -4*q - 10 for q.
-2
Let u(x) = 41*x + 131. Let d be u(-3). Suppose -45 + 21 = -d*w. Solve -2*q + 5 = -w, v = 5*q - 15 for v.
5
Suppose 0 = -44*f + 177 + 43. Solve -4*s = 24*v - 21*v - 20, 30 = 5*s + f*v for s.
2
Let n(z) = 5*z**2 - 8*z - 10. Let g be n(-1). Solve g*p - 2 = -0*p - f, -5*f = 20 for p.
2
Let v = 5093 + -5091. Let s(t) = t**3 + 4*t**2 + 2*t + 2. Let k be s(-4). Let c be -3*(1 - (-10)/k). Solve -c = 3*u - v*u + 2*d, 2*u + d + 7 = 0 for u.
-4
Suppose 22*w - 4*f = 21*w - 7, -w = 5*f - 56. Solve 4*u + 9 - w = -4*v, -3*u = v - 3 for v.
3
Let z = -304 + 320. Let o(w) = w**3 + 44*w**2 + 81*w - 121. Let a be o(-42). Solve 5*u + 7 = -3*c - a, -4*c - z = -2*u for c.
-4
Let w be (-4)/(-14) + (-2)/7. Suppose -2*x = 8, -447 = 2*r - 2*x - 499. Solve 5*c = -w*c - 5*q + 25, -r = -2*c - 5*q for c.
1
Let i be ((-7)/21)/((-1)/159). Let b = -99 + i. Let x = -38 - b. Solve 4*g - g = -2*f + 7, 0 = 2*f - 2*g + x for f.
-1
Suppose 4*g = 7*g. Suppose -2 = -2*p, n + 4*n - 4*p - 6 = g. Suppose c + n*c = -4*f + 27, -5 = -c. Solve 2*z + f*z + 17 = -2*j, -2*j = -z - 13 for z.
-5
Let j(h) = h**2 + 4*h + 3. Let u be j(-4). Suppose i - u = -0*i. Let d be 3 - 0*(-2)/4. Solve -d*y + 2*f = i, -4*f = 5*y - 11 - 6 for y.
1
Suppose 33*a + 28 = 38*a + p, 0 = -3*p + 9. Solve 14*v - a*o = 10*v - 18, -4*o + 16 = -4*v for v.
-2
Let r(p) = -p**2 + 13*p - 7. Let i be r(10). Let y = i - 46. Let z = -19 - y. Solve 1 = z*k + 2*n + 17, -4*n = -5*k - 20 for k.
-4
Let v(y) = -12*y + 23. Let o be v(10). Suppose -14*q - 1087 - 327 = 0. Let t = o - q. Solve a + t*a = -3*n - 16, 0 = -4*a + 5*n + 2 for a.
-2
Let o(k) be the third derivative of k**5/60 + 5*k**4/24 - 29*k**3/6 - 20*k**2 + 1. Let q be o(-10). Solve -3*r + q - 4 = 4*y, 0 = -y + 2 for r.
3
Let v = -18 - -18. Let o = -31 - -33. Suppose -7*y + 23 = o. Solve -y*m = g - 15, -g + 4*m - 20 = -v*g for g.
0
Let f = -230 + 426. Let x = f - 191. Solve -5*m = x*j - 8 - 7, 10 = 5*j for m.
1
Suppose 5*f - 54 = 2*f + d, -5*d = -5*f + 80. Solve 3*k + 12 = 2*n, -f*k + n | {
"pile_set_name": "DM Mathematics"
} |
o - 2460107 = -891*o. Is o a prime number?
True
Suppose -27*j + 102*j = 10342425. Is j a prime number?
False
Let v = 3739 + 216352. Is v prime?
False
Let l be -1 - (-8 - (-20)/5). Suppose -l*b + 4*n - 100 = -14372, 4*b + 3*n - 19071 = 0. Is (-2)/((-8)/b) - -2 a prime number?
True
Let u(c) = -2255*c**3 - 14*c**2 - 74*c - 44. Is u(-5) prime?
False
Suppose d - 11*i + 5 = -15*i, 3*i + 9 = 0. Is d/(-4*(-7)/34076) a composite number?
True
Suppose 7 + 17 = s + 3*h, 4*h = 20. Suppose s*u - 4*u - 2*n = 37515, 0 = -5*n - 25. Is u a prime number?
False
Suppose -3*d - 149 = -2*l, -2*d = 4*l - 173 - 101. Let f(j) = -j**3 + 3*j**2. Let q be f(3). Suppose 362 = 5*b + 2*y, q = -3*b + 4*b + y - l. Is b composite?
True
Is (-398)/8*2*(-18 - (73 - 17)) a composite number?
True
Let h = 7619 - 4045. Suppose 4*c + h = 4*b - 750, 2*b = -5*c + 2197. Let u = b - 445. Is u composite?
False
Let l = 13699 - 9349. Suppose -21685 - l = -5*v. Is v prime?
False
Suppose 0*l - 3*l + 4*u + 16483 = 0, -2*l + 10981 = 5*u. Is l a composite number?
True
Let j(h) = 14*h**2 + 13*h + 82. Let z be 3*-5*20/(-15). Let p be 1/((-4)/z)*(0 + -5). Is j(p) composite?
False
Let q be 21 - (-42)/(-4 + -3). Let z(y) = 2*y**3 + 2*y**2 + 10*y + 47. Is z(q) a composite number?
True
Let y be ((423 - 2)*3)/1. Suppose 0 = m - 1622 - 77. Suppose 2*n = m + y. Is n a composite number?
False
Let c(r) = -r**3 - 6*r**2 - 5*r - 191. Let u be c(-18). Is u/6 - 9/54 a prime number?
True
Suppose -2*j = 6, -24 = 3*p - 3*j + 21. Is (-4)/p - (-4)/((-180)/(-9215)) composite?
True
Suppose 2*t - 5*z + 5 = 0, -2*t + 25*z - 24*z = -7. Suppose t*f = 1271 + 3114. Is f prime?
True
Let c(f) be the second derivative of -37*f**4/12 - f**3/6 - 12*f**2 + 10*f. Let d be c(-4). Let m = 121 - d. Is m composite?
False
Let j be 12/(-9) + (-2)/3. Let f(w) = w**2 - 15*w - 26. Let v be f(j). Suppose 2*r + v*r - 12770 = 0. Is r a prime number?
True
Suppose -29 = -6*k + 4*k + 5*y, 0 = 2*k + 2*y + 6. Suppose 5*i - 2*u - u - 32248 = 0, k*i - 2*u = 12900. Is i composite?
False
Is (290/348)/((-4 - 2649652/(-1324824)) + 2) prime?
False
Suppose -6*m = 12465 + 4887. Let z = m + 5213. Is z a composite number?
True
Let i(g) = -5*g**3 - 3*g**2 + 39*g - 32. Is i(-17) a composite number?
False
Let h be (-114)/81*-3 + (-4)/18. Suppose 1004 = h*r - 4*t, r + 2*t - 221 - 30 = 0. Suppose -10*k + 1521 = r. Is k composite?
False
Let g be (-12441)/5*(21 - 41). Suppose -35*o + 237329 = g. Is o composite?
True
Suppose -17*g = 7*g + g - 17522975. Is g composite?
False
Suppose 120*s = 5*s + 4143848 + 51569627. Is s prime?
False
Let y(j) be the first derivative of 2*j**3 - 11*j**2/2 - 17*j + 2. Let w be (-6)/4*440/(-66). Is y(w) a prime number?
False
Let c(s) = -81*s + 10. Let h be 5 - (-3 + 3 - 1). Suppose 21*n = 23*n + h. Is c(n) composite?
True
Suppose 187*p - 2 = 186*p. Is p/(-2 - 8496/(-4244)) prime?
True
Suppose 0 = -5*o - 4*r + 1149513, -139*o + 2*r - 459808 = -141*o. Is o composite?
False
Let m(i) = -1727*i + 1. Let j be m(-1). Suppose -16*q + 7*q + j = 0. Let a = 73 + q. Is a composite?
True
Suppose 0 = -4*q - x + 3831491, -737*x - 4789320 = -5*q - 732*x. Is q prime?
True
Suppose 1442495 = -51*z + 4059152. Is z a prime number?
True
Suppose 0*y = 4*y + 2*b - 1270, 0 = -2*y + 3*b + 639. Suppose -2*r = 5*l - 5475, -3*r = -3*l + 2767 + 497. Suppose l = v - y. Is v a composite number?
True
Let t(i) = -i**3 + 44*i**2 - 33*i - 29. Let s be t(26). Suppose -3*f = -3*y + f + s, 0 = 2*f + 8. Let x = 5269 - y. Is x composite?
True
Let w be 22/77 - 4828/(-7). Let b = 3232 - w. Suppose -4*c + 9*c = 4*n - b, 3*n - 1903 = 2*c. Is n prime?
False
Let v be (-7480)/24*(2 - -1). Let n = -568 - v. Suppose -8*l + n = -825. Is l composite?
False
Let u = -514 - -527. Is (-4)/1 + (3435 - u) a prime number?
False
Let k(m) = 157494*m - 8077. Is k(12) prime?
True
Let a = 507466 - 244143. Is a a composite number?
False
Let c be 3 - 2*3/(-6). Suppose 13675 - 2493 = 5*p + 3*t, -5*p + 2*t = -11187. Suppose -6 = 2*q, -q = 4*m - c*q - p. Is m a composite number?
False
Let i = -1 + 21. Suppose 5*l = 0, -5*w - 5*l + 25 = -i. Is 382*(30/(-105) + w/7) prime?
False
Let q = 9055 + 17942. Is q a prime number?
False
Suppose -2*h + 5*h + 6 = 2*r, r - 3 = 2*h. Let c be (-31 - -32) + (h - 97). Is (c - -3)/(-3)*23 a prime number?
False
Let p = 9970 - 5643. Is p a prime number?
True
Let x be (-22)/(-4 - -3) + -5. Let q(u) = u**3 - 13*u**2 - 37*u - 48. Is q(x) a prime number?
True
Let u(k) = -63*k**3 + 13*k**2 + 13*k + 90. Is u(-11) a composite number?
True
Let d(m) = -m**3 - 7*m**2 - 9*m - 13. Let l be d(-6). Let f be -3*4/3 - -24. Suppose -l*i = f, 3*v + 5*i - 1067 = 224. Is v prime?
False
Let t(a) = 12619*a - 130. Is t(15) composite?
True
Suppose 2*i + i + 4*d = 52, -4*d + 4 = i. Suppose -6 = 2*h + 2, -2*q - i = 4*h. Is 345 + q + (0 - 2) prime?
False
Suppose 67*k - 129 = 139. Let s be (-30632)/5 + (-2)/(-5). Is s/(-15) - (k/10 - 1) prime?
True
Suppose -a - a + 3*j = -30451, -3*a + 5*j = -45678. Let t = 21828 - a. Is t a prime number?
True
Let l = 69 - 69. Suppose -u - 3*u - 2*f + 6612 = l, -3*u + f = -4959. Suppose u = t - 4*z, -6*t = -t - 4*z - 8329. Is t a composite number?
False
Is ((-102538)/(-10))/((182/(-35))/(-26)) a composite number?
True
Suppose 3*l = -2*d + 42, -3*d + l = 2*l - 56. Suppose 20*m - d*m = 28. Is 16176/m + -4 + (-3)/7 a composite number?
False
Suppose 0 = -5*t + 3*b + 1349991, 2*t - 8*b - 540046 = -13*b. Is t prime?
False
Suppose -12 + 0 = -3*n, 3*q - 167875 = -4*n. Suppose 13*u - 166336 = -q. Is u a composite number?
True
Let t = -647 + 647. Let m(k) = 21*k + 1261. Is m(t) a composite number?
True
Suppose -1223 = -5*u - 2*f - f, -3*u + 728 = -4*f. Let l = u + -109. Suppose 989 = 4*p - 3*o, 4*o + 598 = 3*p - l. Is p composite?
False
Let w(x) = -2*x**2 - 71*x + 117. Let r be w(-37). Is (-3 - (-22)/r)*3183 prime?
False
Let m(k) = 3*k - 39. Let u be m(15). Suppose -u*d - 1431 = -33195. Is d a composite number?
True
Let m be (-3 + 2)*1089/(-18)*-22. Let o = m + 8970. Is o prime?
True
Let t be 11/((10/(-4))/(45/(-18))). Suppose 0 = 3*r - t*r + 59608. Is r a prime number?
True
Suppose -2*i - 5*v + 50782 = -9*v, -i = v - 25391. Is i composite?
False
Let p(w) = w + 20. Let j be p(-15). Suppose 15 = j*r - 2*r. Suppose 1207 = v - 5*n, -6*n + 6093 = r*v - 2*n. Is v composite?
False
Suppose d - 2*x - 181779 = 0, -159*d + 161*d - x = 363537. Is d a prime number?
False
Is (400/(-160))/(10/(-1552204)) a prime number?
True
Let o = -2273 - -3906. Is o prime?
False
Let v(a) = -12*a - 35. Suppose 3*m - 5*f + 68 = 0, 4*m + 124 = -m + 3*f. Is v(m) a composite number?
False
Let a = 1055072 - 635781. Is a composite?
False
Let r = -245666 + 415123. Is r a composite number?
False
Let z = 46288 + -15797. Is z a prime number?
True
Suppose -119400883 = -143*n + 30436519. Is n a prime number?
False
Let q be (15 - 6) + (-6 - -3). Suppose -2*v - q = -10. Suppose -419 = -3*h + v*o, -725 = -5*h - 0*h - 2*o. Is h prime?
False
Suppose -5*b + 5*s + 335 = 0, -5*b + 186 + 135 = 2*s. Let p = b - 65. Suppose p = 5*z + 439 - 2294. Is z composite?
True
Let p(l) = l**3 + 55*l**2 + 33*l + 167. Is p(-28) prime?
True
Let r = 74626 - 21577. Suppose -17099 = -p - 4*q, 5*p - 2*q - 32380 - r = 0. Is p a composite number?
True
Is (-92)/10 - (80 + -89) - 603336/(-5) a composite number?
True
Let b = 137 + -129. Suppose b*k - 20342 = -6862. Is k a composite number?
True
Let f be 864/88 + (-8)/(-44). Suppose -3*n - 231 = -f*n. Is n a composite number?
True
Suppose 0 = -168*j - 5935939 + 31061515. Is j prime?
False
Let p(t) = 669*t - 4. Suppose 45 = -i - 65. Let x be (-1 - 0)/(22/i). Is p(x) a composite number?
True
Let b be 4 - 6/2 - (3 + 6). Let w(i) = -27*i**3 + 11*i**2 - 4*i + 31. Is w(b) prime?
True
Let v = -8 + 14. Let y = -8425 - -8425. Suppose y = v*p - 1078 - 3104. Is p a prime number?
False
Let j(w) = -w**3 + 8*w**2 + 2*w + 61. Let v be j(9). Is v + (2 + 15/(-10))*3494 a prime number?
False
Suppose -2*g + 21 - 7 = 0. Let y(r) = 81*r**2 + 30*r + 11. Let u(n) = -54*n**2 - 20*n - 7. Let l(h) = 7*u(h) + 5*y(h). Is l(g) a composite number?
False
Let x = -104394 - -148771. Is x composite?
True
Let m(c) = c**3 + 33*c**2 + 21*c - 101. Let z be m(-39). Let t = -5143 - z. Is t a composite number?
False
Is (139/(-695))/((-1)/725 | {
"pile_set_name": "DM Mathematics"
} |
first derivative of w**2 - 1. Let n = -7 - -10. Let g(p) = p + 3. Let l(o) = -2*o - 4. Let j(y) = n*l(y) + 4*g(y). Determine a(j(c)).
-4*c
Let i(m) be the third derivative of -m**8/6720 + m**5/15 - 4*m**2. Let w(s) be the third derivative of i(s). Let a(o) = 3*o**2. Calculate w(a(u)).
-27*u**4
Suppose -5*p - 29 = -2*u, -2*u - 6*p = -4*p + 6. Let a(k) = -k**u - 3*k**2 + 2*k**2. Let f(z) be the third derivative of z**5/12 - z**2. Give a(f(v)).
-50*v**4
Let b(a) be the third derivative of 0*a**4 + 0 - 2*a**2 + 0*a**3 + 0*a - 1/60*a**5. Let z(w) = -3498*w + w**2 + 3498*w. Determine b(z(r)).
-r**4
Let i(c) = -3*c**2. Suppose 14 = -8*w + 5*w + 4*r, 2*w - r = -11. Let u be w/(-9)*(4 - 1). Let j(x) = -4*x**u + 0*x**2 + 3*x**2. Calculate j(i(f)).
-9*f**4
Let h(v) = 23*v. Let t(z) be the second derivative of 0*z**2 - 1/6*z**4 + 7*z + 0 + 0*z**3. Determine h(t(k)).
-46*k**2
Let m(d) = 2*d**2. Let w(b) be the third derivative of 19*b**4/12 - 12*b**2. Give w(m(l)).
76*l**2
Let l(s) = -29*s - 9. Let t(p) = -p**2. What is t(l(m))?
-841*m**2 - 522*m - 81
Let y(m) be the first derivative of 25*m**2/2 - 8. Let b(q) = -2*q. Give y(b(a)).
-50*a
Let v(z) = -z**2. Let a(x) be the first derivative of -3 + 0*x + 5/2*x**2. Give v(a(f)).
-25*f**2
Let y(m) = -25 + 51 - 26 + m. Let r(j) = 4*j**2 - 14. Give r(y(t)).
4*t**2 - 14
Let l(m) = 2*m. Let g(y) = -54*y**2. Determine g(l(a)).
-216*a**2
Let y(g) = 2*g - 10. Let j(x) = -x. What is y(j(r))?
-2*r - 10
Suppose 3*s = -s. Let p(t) = t + t - t + s. Let c(g) = -g + 2 - 2. What is p(c(f))?
-f
Let b(c) = 2. Let q(r) be the first derivative of r**2/2 + r + 2. Let w(t) = b(t) - 2*q(t). Let i(x) = -4*x. Give w(i(a)).
8*a
Let q = 62 + -185/3. Let v(k) be the second derivative of k + 0*k**2 + 0 - q*k**3. Let y(f) = -f**2. What is y(v(i))?
-4*i**2
Let r(z) = z**2. Let g(l) = 3*l**2 + 25. Give r(g(s)).
9*s**4 + 150*s**2 + 625
Let n(q) = 2*q. Let s(f) = -9 - 1 - 2 + 2*f. Let k be s(8). Let v(t) = k - 4 + t + t. Determine v(n(a)).
4*a
Let d(y) = 5*y - 4. Let v = -5 - -9. Let i(n) = -4*n + 3. Let w(s) = v*i(s) + 3*d(s). Let x(k) = -3*k - 4*k + 2*k + 9*k. What is x(w(z))?
-4*z
Let i(p) = 2*p + 9. Let j be i(-6). Let a = -1 - j. Let q(g) = 0*g - g + a*g. Let r(l) = -3*l**2. Give r(q(u)).
-3*u**2
Let w(t) = -10*t. Let m(f) = 345*f**2. Calculate m(w(b)).
34500*b**2
Let f(j) = -3*j**2 - 5*j**2 + 7*j**2. Let u(n) be the first derivative of 0*n + 2 + 3/2*n**2. Calculate u(f(p)).
-3*p**2
Let c(j) = -7*j. Let n(y) = 8*y + 6. Let a(q) = 7*q + 5. Let k(m) = -6*a(m) + 5*n(m). Determine k(c(p)).
14*p
Let b(t) = 170*t**2. Let z(l) = -35*l**2. Determine b(z(f)).
208250*f**4
Let m(v) be the second derivative of -v**4/3 - 13*v. Let l(c) = 3*c**2. Determine l(m(k)).
48*k**4
Let u(f) = -f**2. Let o(z) = 7*z**2. Let a(b) = o(b) + 6*u(b). Let y = 0 - -2. Let m(v) = -5 + 5 + 2*v**y. Give m(a(h)).
2*h**4
Let x(t) = 28*t**2. Let b(p) = -44 + 95 - 51 - 4*p. Give b(x(v)).
-112*v**2
Let p(s) be the second derivative of s**4/12 + 40*s. Let m(y) = 3*y - y + y. What is p(m(v))?
9*v**2
Let c(x) = 28*x**2. Let t(g) = -11 - 2*g + 11. What is c(t(b))?
112*b**2
Let y(x) = -11867*x. Let n(l) = 2*l. Give n(y(i)).
-23734*i
Let r(y) = -6*y. Let l(g) = g. Let u(x) = 4*x - 5. Let j(c) = c - 1. Let k(w) = 30*j(w) - 6*u(w). Let s(t) = k(t) - 5*l(t). What is r(s(p))?
-6*p
Let x(a) = -3*a + 3*a + 2*a**2. Let c(d) = 34*d - 34*d - 6*d**2. Calculate c(x(k)).
-24*k**4
Suppose 0 = 2*t + 3*t - 30. Let l(v) = -2*v - 3*v - 2*v + t*v. Let a(g) = 3*g. Determine a(l(j)).
-3*j
Let h be (4/12)/(8/12). Let b(w) be the first derivative of -h*w**2 + 0*w - 2. Let v(o) = 2*o**2. Calculate b(v(g)).
-2*g**2
Let i(t) be the second derivative of 3*t + 3 - t**3 - 3. Let v(q) = -q. Calculate i(v(j)).
6*j
Let u(x) = -7*x**2. Let n(y) be the first derivative of 2*y**3/3 - 3. What is u(n(l))?
-28*l**4
Suppose 2*f = 7*f. Suppose f = -b - 2*b - 5*m + 37, 0 = -5*m + 25. Let k(t) = b*t + 0*t + 0*t. Let d(i) = -2*i**2. Determine d(k(v)).
-32*v**2
Let f(q) = q**2. Let m(w) be the third derivative of 3*w**5/20 - 43*w**2. Give f(m(r)).
81*r**4
Let c(v) = 4845*v. Let w(l) = -2*l**2. What is c(w(n))?
-9690*n**2
Let m(f) be the third derivative of f**5/30 + f**2. Let y(j) = -5*j + 4. Let s(p) = -p + 1. Let d(n) = 12*s(n) - 3*y(n). Give d(m(q)).
6*q**2
Let l(k) be the second derivative of -5*k + 0 + 0*k**2 + 0*k**3 + 1/12*k**4. Let x(h) = -3*h. Calculate l(x(f)).
9*f**2
Let s be 3/9*(1 - 1). Let j(x) = s*x + 0*x - x. Let r(q) = 7*q. Let c(p) = -2*p. Let d(g) = 22*c(g) + 6*r(g). Calculate j(d(n)).
2*n
Let h(w) be the second derivative of 4*w**3/3 + 28*w. Let n(k) = -k**2. Calculate h(n(d)).
-8*d**2
Let s(f) = -4*f. Let w(n) be the third derivative of -n**5/6 - n**2. Calculate s(w(r)).
40*r**2
Let j(n) = -n. Let m(s) = 7*s. Let w(o) = 3*j(o) + m(o). Let p(l) = -2*l. Give p(w(i)).
-8*i
Let n(f) = -f - 1. Let z(h) = -h**2 + h + 1. Let b(o) = 2*n(o) + 2*z(o). Let s(l) = -l. Give s(b(y)).
2*y**2
Let v(m) be the second derivative of 2*m**4/3 - 5*m. Let g(n) = -n**2. Calculate v(g(r)).
8*r**4
Let l(k) = 3*k**2 + 20*k. Let m(g) = 20*g. What is m(l(d))?
60*d**2 + 400*d
Let s(p) = 11*p. Let m(h) be the first derivative of -2*h**2 - 5 + 1 + 3*h**2. Give s(m(r)).
22*r
Let s(c) = 2*c**2 - 4*c + 4*c. Let k(o) = 43*o**2 - 51*o**2 - 7 + 7. Determine k(s(p)).
-32*p**4
Suppose 3*h + c = -6, 4 = -2*h - 0*h + 5*c. Let b(g) = g - 1. Let z(k) = 2. Let x(s) = h*b(s) - z(s). Let o(u) = -25 + u**2 + 25. Calculate x(o(n)).
-2*n**2
Let d(a) = -4*a. Let f(s) = 6*s + 15. Let r(u) = u + 2. Let w(j) = 2*f(j) - 15*r(j). Calculate d(w(l)).
12*l
Let y(s) = 38*s. Let r(c) = -9*c**2. What is y(r(u))?
-342*u**2
Let o(m) = 2*m. Let g(k) = 19*k - 600 + 600. What is g(o(j))?
38*j
Let u(f) = -24*f + 11. Let x(b) = -13*b + 6. Let j(v) = -6*u(v) + 11*x(v). Let q(s) = -5*s**2. Determine j(q(o)).
-5*o**2
Let z(b) = b**2 + 4 + 14*b**2 - 4*b**2 - 4*b. Let i(q) = -33*q**2 + 11*q - 11. Let j(k) = -4*i(k) - 11*z(k). Let p(g) = -2*g. Give j(p(t)).
44*t**2
Let g(k) = -3*k. Let r(c) = 4*c**2 - 1262*c. What is r(g(w))?
36*w**2 + 3786*w
Let w(u) be the third derivative of u**5/30 - 26*u**2. Let i(l) = 4*l. Give w(i(n)).
32*n**2
Let f(u) be the second derivative of -5*u**3/2 + 23*u. Let c(i) = -4*i. What is f(c(z))?
60*z
Let t(a) = a**2 - 3. Let v(u) = -2*u**2 + 5. Suppose 0 = -4*i - 5 - 15. Let p(j) = i*t(j) - 3*v(j). Let r(n) = 3*n. Give r(p(g)).
3*g**2
Let w(g) = 2*g**2. Let k(c) be the first derivative of 0*c**2 + 2 + 2/3*c**3 + 0*c. Determine w(k(f)).
8*f**4
Let r(j) = 3*j + 0*j - 5*j. Let u(n) be the second derivative of n**3/6 - n**2/2 + 2*n. Let o(s) = 4*s - 2. Let h(l) = -o(l) + 2*u(l). What is h(r(c))?
4*c
Let a(q) = -351 + 351 - 3*q. Let o(g) = -g**2 + 3. Let z(r) = -2*r**2 + 5. Let c(d) = -5*o(d) + 3*z(d). What is c(a(u))?
-9*u**2
Let u(p) = -7*p + 5. Let a(z) = -4*z + 3. Suppose -2 - 13 = 3*v. Let w(f) = v*a(f) + 3*u(f). Let d(q) = q. Calculate w(d(b)).
-b
Let j(v) = 5*v**2. Let o(b) = b**3 + b**2 + b + 2. Let g be o(0). Let h(d) = 4 - g*d - 4. Give h(j(y)).
-10*y**2
Let d(h) = 8*h + 7*h - 13*h. Let o(l) = -4*l**2. What is o(d(s))?
-16*s**2
Let y(t) = -10*t. Let x(u) = 8*u. Let m(v) = 23*v. Let q(s) = 6*m(s) - 17*x(s). Determine q(y(r)).
-20*r
Let d(g) = -g. Let h(c) = 8*c. Let o(f) = -10*d(f) - h(f). Let b(j) be the first derivative of 0*j**2 - 1/3*j**3 + 0*j - 3. Calculate o(b(x)).
-2*x**2
Let p(f) = -14*f. Let d(n) = -9*n - 1. Give d(p(v)).
126*v - 1
Let x(p) = -1. Let y(q) = 6*q - 6. Let w(u) = -6*x(u) + y(u). Let z(h) be the first derivative of 3*h**2/2 + 4. Calculate z(w(f)).
18*f
Let g(m) = -3*m + 2. Suppose 2*u - 3 = 1. Let h(s) = -1. Let p(t) = u*h(t) + g(t). Let r(c) = -2 + 2 - 2*c. Determine r(p(x)).
6*x
Let u(t) = -3*t. Let k(w) = 14*w**2. What is u(k(b))?
-42*b**2
Let j(d) = -2*d - 186. Let w(v) = v**2. Determine w(j(y)).
4*y**2 + 744*y + 34596
Let i(g) = 14*g + 17. Let d(f) = 5*f**2 + 4. Calculate d(i(x)).
980*x**2 + 2380*x + 1449
Let h(w) = 13*w - 33*w - 11*w. Let s(g) = 2*g**2. What is h(s(m))?
-62*m**2
Let p(n) = 18*n. Let h(i) = 22*i**2. What is p(h(y))?
396*y**2
Let t(h) = 4*h + 27 - 12 - 15. Let j(i) = -7*i. Give j(t(d)).
-28*d
Let y(l) be the third derivative of -l**4/12 - l**2. Let h(d) be the second derivative of d + 1/2*d**3 + 0*d* | {
"pile_set_name": "DM Mathematics"
} |
4 d when four letters picked without replacement from cddddddddddddddddddc?
12/19
Four letters picked without replacement from hhhhhhhhh. What is prob of picking 4 h?
1
Four letters picked without replacement from yiwytwzww. Give prob of picking 1 y, 2 w, and 1 i.
2/21
What is prob of picking 2 e when two letters picked without replacement from {b: 9, e: 1, m: 10}?
0
Three letters picked without replacement from bdccdccddddudzdduu. What is prob of picking 3 u?
1/816
Calculate prob of picking 2 e and 1 k when three letters picked without replacement from jedddwkwew.
1/120
What is prob of picking 2 h when two letters picked without replacement from {d: 7, h: 2}?
1/36
Four letters picked without replacement from {x: 1, r: 3, b: 1, l: 1, q: 1}. What is prob of picking 1 l, 1 b, 1 x, and 1 q?
1/35
Calculate prob of picking 3 h when three letters picked without replacement from rhra.
0
What is prob of picking 2 n when two letters picked without replacement from {n: 4, p: 3}?
2/7
What is prob of picking 2 z and 2 g when four letters picked without replacement from {l: 5, z: 7, g: 2, r: 4}?
7/1020
Two letters picked without replacement from cvjjybscycyycyy. Give prob of picking 2 c.
2/35
What is prob of picking 2 e when two letters picked without replacement from eeeee?
1
Two letters picked without replacement from xmlmllvmvxwmxve. Give prob of picking 1 x and 1 e.
1/35
Calculate prob of picking 1 w and 3 g when four letters picked without replacement from {g: 5, w: 3, c: 1, z: 3}.
2/33
Two letters picked without replacement from xttnennkkxneotek. What is prob of picking 2 k?
1/40
Four letters picked without replacement from uuuftffufu. What is prob of picking 3 u and 1 t?
1/21
Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 1, x: 1, d: 2, f: 3, n: 3, u: 3}.
1/26
Four letters picked without replacement from nsubqkqus. What is prob of picking 1 s, 1 q, and 2 u?
2/63
Two letters picked without replacement from {u: 3, v: 10, h: 1, p: 1}. What is prob of picking 1 v and 1 h?
2/21
Two letters picked without replacement from hxaahhhax. What is prob of picking 1 h and 1 a?
1/3
What is prob of picking 1 n and 2 d when three letters picked without replacement from {q: 1, y: 2, n: 2, l: 2, d: 4, x: 1}?
3/55
Three letters picked without replacement from nknnkk. What is prob of picking 1 k and 2 n?
9/20
What is prob of picking 2 z and 2 m when four letters picked without replacement from mmmmmmmmmmzmzmmmmm?
2/51
Calculate prob of picking 1 d, 2 u, and 1 q when four letters picked without replacement from {u: 6, k: 1, q: 1, r: 2, d: 5}.
5/91
Two letters picked without replacement from {m: 1, i: 2, d: 1, z: 2, a: 2, o: 1}. Give prob of picking 2 i.
1/36
What is prob of picking 1 k and 1 u when two letters picked without replacement from kuswssl?
1/21
Four letters picked without replacement from hndiidxnrdnhhr. What is prob of picking 2 n and 2 r?
3/1001
What is prob of picking 2 e when two letters picked without replacement from ffee?
1/6
Three letters picked without replacement from {v: 6, e: 2, s: 2, y: 3, x: 1}. What is prob of picking 1 v, 1 y, and 1 s?
9/91
Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {w: 4, n: 7, c: 1, p: 1}.
14/39
Three letters picked without replacement from vffbfvwbbfbbfwubwvb. Give prob of picking 2 v and 1 u.
1/323
Calculate prob of picking 1 o, 1 b, and 1 r when three letters picked without replacement from bbprpbpopppoppvboboo.
5/228
Two letters picked without replacement from {s: 1, n: 9, o: 1, v: 5}. Give prob of picking 1 n and 1 v.
3/8
Calculate prob of picking 2 d when two letters picked without replacement from dddddd.
1
Two letters picked without replacement from {l: 4, x: 7, n: 1, s: 6}. What is prob of picking 1 s and 1 l?
8/51
What is prob of picking 1 r, 2 s, and 1 k when four letters picked without replacement from {p: 1, r: 2, k: 1, s: 2}?
2/15
What is prob of picking 1 p and 1 c when two letters picked without replacement from {z: 4, w: 9, c: 2, p: 4}?
8/171
Three letters picked without replacement from {t: 1, r: 5, u: 1, c: 2, k: 1, m: 5}. What is prob of picking 1 t, 1 u, and 1 k?
1/455
What is prob of picking 2 s when two letters picked without replacement from {d: 10, s: 9}?
4/19
Two letters picked without replacement from {i: 3}. Give prob of picking 2 i.
1
Two letters picked without replacement from {k: 2, d: 3, z: 4, j: 3, q: 1, w: 4}. What is prob of picking 1 z and 1 j?
3/34
Calculate prob of picking 1 a, 1 t, and 1 o when three letters picked without replacement from tiioiioaaoti.
3/55
Three letters picked without replacement from {s: 2, l: 4, n: 1, i: 5, t: 1, f: 2}. Give prob of picking 1 n and 2 l.
6/455
Two letters picked without replacement from wrrwrrrrrrw. Give prob of picking 2 r.
28/55
Calculate prob of picking 3 g and 1 b when four letters picked without replacement from {b: 3, g: 9}.
28/55
Four letters picked without replacement from vkkaafcfcffvfvkvf. Give prob of picking 1 k and 3 v.
3/595
What is prob of picking 1 a and 2 c when three letters picked without replacement from {o: 1, b: 1, a: 2, c: 3, l: 3, m: 1}?
2/55
Calculate prob of picking 2 n when two letters picked without replacement from {v: 4, n: 15}.
35/57
Four letters picked without replacement from nnnddnndnndd. Give prob of picking 4 d.
1/99
Two letters picked without replacement from gkgkgg. Give prob of picking 2 g.
2/5
Two letters picked without replacement from {z: 2, x: 4, w: 1, b: 1}. Give prob of picking 1 b and 1 x.
1/7
Calculate prob of picking 3 k and 1 o when four letters picked without replacement from {i: 2, k: 5, q: 5, y: 1, o: 3}.
3/182
Three letters picked without replacement from {r: 1, t: 8, x: 7, d: 2, q: 2}. What is prob of picking 1 d and 2 q?
1/570
Two letters picked without replacement from {u: 1, j: 1, z: 2, c: 1}. What is prob of picking 1 z and 1 u?
1/5
What is prob of picking 4 u when four letters picked without replacement from {u: 6, y: 6}?
1/33
Calculate prob of picking 3 w and 1 l when four letters picked without replacement from dlnnwflswwnlsnw.
4/455
What is prob of picking 3 f when three letters picked without replacement from uffuffiifi?
1/12
What is prob of picking 2 g and 2 k when four letters picked without replacement from {j: 2, g: 4, k: 7}?
126/715
Two letters picked without replacement from {e: 7, p: 9, z: 3}. What is prob of picking 2 z?
1/57
What is prob of picking 1 b, 1 w, 1 g, and 1 v when four letters picked without replacement from vgbwgvmbbwmvbggbwb?
6/85
Three letters picked without replacement from {c: 4, o: 9, g: 4, j: 2}. What is prob of picking 1 c, 1 g, and 1 j?
32/969
Two letters picked without replacement from {e: 2, d: 3, v: 3, g: 1, u: 1, s: 1}. Give prob of picking 1 e and 1 d.
6/55
What is prob of picking 2 u when two letters picked without replacement from cuiccuikcrciicciicu?
1/57
Four letters picked without replacement from {n: 1, o: 1, h: 3}. Give prob of picking 1 n, 1 o, and 2 h.
3/5
Three letters picked without replacement from rrqqrhvryhyh. What is prob of picking 3 r?
1/55
Two letters picked without replacement from {h: 2, y: 3, d: 3}. What is prob of picking 1 h and 1 y?
3/14
What is prob of picking 2 r when two letters picked without replacement from {z: 4, r: 14}?
91/153
What is prob of picking 2 l when two letters picked without replacement from lltltlll?
15/28
Four letters picked without replacement from {b: 5, w: 5}. Give prob of picking 4 w.
1/42
Four letters picked without replacement from {t: 2, y: 1, e: 12, f: 2, k: 1, p: 2}. Give prob of picking 1 f, 2 e, and 1 y.
44/1615
What is prob of picking 1 n and 2 w when three letters picked without replacement from nwwnnwwnwwnnw?
63/143
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {i: 5, m: 1, n: 3, o: 4}.
2/13
Two letters picked without replacement from {x: 4, a: 4, p: 9}. Give prob of picking 1 p and 1 a.
9/34
What is prob of picking 1 q, 1 k, and 1 e when three letters picked without replacement from {q: 3, m: 7, g: 3, k: 1, e: 4}?
1/68
Two letters picked without replacement from jkfffffkkfij. What is prob of picking 1 k and 1 i?
1/22
What is prob of picking 1 l and 1 r when two let | {
"pile_set_name": "DM Mathematics"
} |
*(j + 59)
Determine g so that 2*g**3 - 376*g**2 + 9546*g + 837828 = 0.
-34, 111
Factor -4*w**3 - 408*w**2 - 3680*w.
-4*w*(w + 10)*(w + 92)
Solve 5*o**2 + 5832*o + 2332 = 0.
-1166, -2/5
Factor 2*n**3/9 - 604*n**2/9 + 1568*n/3.
2*n*(n - 294)*(n - 8)/9
Solve -4*v**4 - 22*v**3 - 10*v**2 = 0 for v.
-5, -1/2, 0
Find k such that -5*k**3 + 13170*k**2 + 39555*k = 0.
-3, 0, 2637
Let -g**4/8 + 9*g**3/2 - 103*g**2/8 - 477*g - 1729/2 = 0. Calculate g.
-7, -2, 19, 26
Suppose -3*l**4/4 + 27*l**3/4 + 93*l**2/2 + 81*l + 42 = 0. What is l?
-2, -1, 14
Solve -3*i**3 + 2838*i**2 - 671187*i = 0 for i.
0, 473
Find x such that -26*x**2/9 - 14434*x/9 - 740/3 = 0.
-555, -2/13
Factor -3*s**4 + 2220*s**3 - 15393*s**2.
-3*s**2*(s - 733)*(s - 7)
Determine z, given that 4*z**2/7 - 9104*z/7 + 18192/7 = 0.
2, 2274
Find r such that 63845*r**2 + 189840*r + 141120 = 0.
-168/113
Determine o, given that -3*o**3/4 + 843*o**2/2 - 5037*o/4 + 1677/2 = 0.
1, 2, 559
Find w such that 3*w**4/8 - 13131*w**3 + 459847617*w**2/4 - 229884417*w + 919485147/8 = 0.
1, 17507
Determine z, given that 2*z**3/5 + 176*z**2/5 + 438*z = 0.
-73, -15, 0
Factor -3*a**4 - 45*a**3 - 132*a**2 + 180*a.
-3*a*(a - 1)*(a + 6)*(a + 10)
Factor -u**2/3 + 11521*u/3.
-u*(u - 11521)/3
Factor -b**2/4 - 1229*b/4 + 1233.
-(b - 4)*(b + 1233)/4
Factor 5*h**4 - 70595*h**3 + 331201755*h**2 - 511394511745*h - 23148597419420.
5*(h - 4721)**3*(h + 44)
Factor 2*g**3/19 + 30916*g**2/19 - 61838*g/19 + 30920/19.
2*(g - 1)**2*(g + 15460)/19
Suppose -a**4/5 - 26912*a**3/5 - 181117752*a**2/5 - 724148096*a/5 - 724040464/5 = 0. Calculate a.
-13454, -2
Factor -4*l**2 - 190284*l - 190280.
-4*(l + 1)*(l + 47570)
Factor 2*n**4 + 6740*n**3 + 26936*n**2 + 26928*n.
2*n*(n + 2)**2*(n + 3366)
Solve 4*p**4 + 7364*p**3 - 74044*p**2 - 7364*p + 74040 = 0.
-1851, -1, 1, 10
Suppose -12037*y**3 - 2*y**2 + 12037*y + 2 = 0. Calculate y.
-1, -2/12037, 1
Solve -3*j**3/4 + 12*j**2 + 2331*j/4 + 3510 = 0.
-15, -8, 39
Find g such that -2*g**2/7 - 3754*g/7 - 3740 = 0.
-1870, -7
What is a in a**3/4 - 879*a**2/4 - 1105*a = 0?
-5, 0, 884
Let c**2/6 + 2209*c/6 - 10062 = 0. What is c?
-2236, 27
Determine i so that 17*i**4/6 - 5*i**3/2 - 103*i**2/3 - 4*i = 0.
-3, -2/17, 0, 4
Factor -g**2 - 2727*g - 19040.
-(g + 7)*(g + 2720)
Let 10*i**3 + 17982*i**2 + 3596*i = 0. Calculate i.
-1798, -1/5, 0
Factor -3*x**4 + 2235*x**3 + 8979*x**2 + 6741*x.
-3*x*(x - 749)*(x + 1)*(x + 3)
Solve 22445*i**4 + 12342740*i**3 + 1696297670*i**2 - 151981500*i + 3403125 = 0.
-275, 3/67
Determine g so that 5*g**4 - 190*g**3 - 1805*g**2 - 1610*g = 0.
-7, -1, 0, 46
Factor -3*o**4/2 + 2637*o**3 - 7902*o**2 + 7899*o - 5265/2.
-3*(o - 1755)*(o - 1)**3/2
Factor j**3 - 2698*j**2 + 2038321*j - 285314580.
(j - 1259)**2*(j - 180)
Let y**5/10 - 846*y**4/5 + 937643*y**3/10 - 21526760*y**2 + 8911261824*y/5 - 1760819200 = 0. Calculate y.
1, 272, 875
Determine n so that -10*n**4/3 + 66*n**3 + 3052*n**2/3 + 120*n - 1200 = 0.
-10, -6/5, 1, 30
Factor 4*p**4 + 32*p**3 - 49220*p**2.
4*p**2*(p - 107)*(p + 115)
Let -a**3 - 92*a**2 + 93*a = 0. Calculate a.
-93, 0, 1
Determine r so that r**5 - 184604*r**4 + 11359853266*r**3 - 233039814096168*r**2 + 1164960529253253*r - 931932074825748 = 0.
1, 4, 61533
What is p in -2*p**5/19 - 3696*p**4/19 - 11072*p**3/19 - 3684*p**2/19 + 11074*p/19 + 7380/19 = 0?
-1845, -2, -1, 1
Determine y, given that 2*y**2/17 + 404*y/17 + 1194/17 = 0.
-199, -3
Factor -5*a**3 + 513230*a**2 - 1026445*a + 513220.
-5*(a - 102644)*(a - 1)**2
Find c such that -4*c**2 - 528*c + 1620 = 0.
-135, 3
What is c in -c**4/3 + 86*c**3/3 - 671*c**2 + 7052*c/3 - 6724/3 = 0?
2, 41
Factor -3*q**2/2 + 47874*q - 381986646.
-3*(q - 15958)**2/2
Let -2*q**5/7 - 3382*q**4/7 - 1421260*q**3/7 + 1024384*q**2 - 8629248*q/7 = 0. What is q?
-848, 0, 2, 3
Solve 12*u**4 - 171*u**3 + 678*u**2 - 639*u + 120 = 0.
1/4, 1, 5, 8
Factor -3*f**2 + 510*f + 21525.
-3*(f - 205)*(f + 35)
Factor 4*i**2/5 - 25792*i/5 + 41576704/5.
4*(i - 3224)**2/5
Suppose -s**3/3 + 23*s**2 - 1463*s/3 + 3025 = 0. What is s?
11, 25, 33
Factor 4*w**3/5 + 388*w**2/5 + 5612*w/5 - 6004/5.
4*(w - 1)*(w + 19)*(w + 79)/5
Suppose k**2/4 + 18*k - 37 = 0. What is k?
-74, 2
Suppose 139*p**5/2 + 138*p**4 - 143*p**3/2 - 138*p**2 + 2*p = 0. Calculate p.
-2, -1, 0, 2/139, 1
Determine m, given that -18*m**4/11 + 5910*m**3/11 + 3958*m**2/11 - 3286*m/11 - 1316/11 = 0.
-1, -1/3, 2/3, 329
Factor -2*h**3/9 + 1798*h**2/9 - 1796*h/9.
-2*h*(h - 898)*(h - 1)/9
Find v, given that -10*v**4/3 - 2248*v**3 - 2696*v**2/3 = 0.
-674, -2/5, 0
Determine h, given that -357*h**2 + 5724*h - 999 = 0.
3/17, 111/7
Determine o, given that -o**2/9 + 3068*o + 9205 = 0.
-3, 27615
Factor 2*n**3/3 + 26*n**2/3 + 14*n/3 - 110.
2*(n - 3)*(n + 5)*(n + 11)/3
Let o**4 + 280*o**3 - 3472*o**2 + 9344*o = 0. Calculate o.
-292, 0, 4, 8
Factor 2*u**4 - 2420*u**3 - 9754*u**2 + 50988*u.
2*u*(u - 1214)*(u - 3)*(u + 7)
Suppose -r**4 + 56*r**3 - 447*r**2 + 1144*r - 752 = 0. What is r?
1, 4, 47
Factor 3*t**4 - 2838*t**3 - 28581*t**2 - 94536*t - 103248.
3*(t - 956)*(t + 3)**2*(t + 4)
Find u such that -16*u**3 + 1014*u**2 - 4928*u - 3480 = 0.
-5/8, 6, 58
Factor -l**2/4 - 1435*l/2 + 1436.
-(l - 2)*(l + 2872)/4
Determine v, given that 2*v**2/9 + 430*v/9 + 2600/3 = 0.
-195, -20
Factor -3*a**3/5 - 141*a**2/5 - 1638*a/5.
-3*a*(a + 21)*(a + 26)/5
Factor -2*l**4/7 + 6253*l**3/7 - 4889064*l**2/7 + 2442969*l/7.
-l*(l - 1563)**2*(2*l - 1)/7
Let 4*m**4 + 3988*m**3 + 7956*m**2 - 3988*m - 7960 = 0. What is m?
-995, -2, -1, 1
Solve 162*b**5 + 72*b**4 - 2098*b**3 + 1008*b**2 + 760*b + 96 = 0.
-4, -2/9, 1, 3
Factor 5*u**3 - 605*u**2 + 17360*u + 57660.
5*(u - 62)**2*(u + 3)
Factor -p**2/2 - 177757*p - 31597551049/2.
-(p + 177757)**2/2
Factor -2082*q**2 - 2062*q + 20.
-2*(q + 1)*(1041*q - 10)
Factor -4*h**2 + 2844*h.
-4*h*(h - 711)
Factor 2*f**3 + 36*f**2 - 19838*f.
2*f*(f - 91)*(f + 109)
Factor -4*p**3/7 - 2988*p**2/7 - 14240*p.
-4*p*(p + 35)*(p + 712)/7
What is m in 3*m**2/2 + 2221827*m/8 + 69432 = 0?
-185152, -1/4
Factor 5*b**2 - 4305*b + 294750.
5*(b - 786)*(b - 75)
What is m in -2*m**3/7 - 1278*m**2/7 - 3820*m/7 - 2544/7 = 0?
-636, -2, -1
Determine y, given that 2*y**3/17 - 112*y**2/17 + 98*y - 2900/17 = 0.
2, 25, 29
Factor 3*b**3 - 324*b**2 - 8265*b + 17802.
3*(b - 129)*(b - 2)*(b + 23)
Factor 144*j**3/7 - 44400*j**2/7 - 74300*j/7 - 31000/7.
4*(j - 310)*(6*j + 5)**2/7
Factor -4*z**2/3 + 40*z/3 - 100/3.
-4*(z - 5)**2/3
Let -2*f**2/5 + 248*f + 1242/5 = 0. What is f?
-1, 621
Find w such that -w**4/2 + 279*w**3/4 - 7129*w**2/4 + 52545*w/4 - 24525/4 = 0.
1/2, 15, 109
Factor -s**2 - 61879*s.
-s*(s + 61879)
Factor 3*c**3/8 - 99399*c**2/8.
3*c**2*(c - 33133)/8
Factor 5*t**3 + 800*t**2 - 805*t.
5*t*(t - 1)*(t + 161)
Factor 2*i**4/9 - 296*i**3/3 + 13940*i**2/3 - 691288*i/9 + 1287206/3.
2*(i - 393)*(i - 17)**3/9
Let -2*k**5/3 + 86*k**4/3 - 310*k**3/3 - 110*k**2/3 + 424*k - 312 = 0. Calculate k.
-2, 1, 2, 3, 39
Suppose 3*p**3 + 24573*p**2 + 50159256*p - 656229756 = 0. What is p?
-4102, 13
Factor -x**3 - 5936*x**2 + 119120*x.
-x*(x - 20)*(x + 5956)
What is b in b**4 - 898*b**3 - 901*b**2 + 1798*b = 0?
-2, 0, 1, 899
Factor -2*x**4/3 - 6016*x**3/3 - 1559248*x**2 - 231182848*x/3 - 2953422368/3.
-2*(x + 26)**2*(x + 1478)**2/3
Let -30*m**4 + 5221*m**3/3 - 5188*m**2/3 + 19*m = 0. Calculate m.
0, 1/90, 1, 57
What is w in 21*w**2 - 708*w + 5412 = 0?
82/7, 22
Factor 5*c**2 + 867470*c + 37625210045.
5*(c + 86747)**2
Factor 5*k**2 + 110480*k - 110485.
5*(k - 1)*(k + 22097)
Find j, given that j**3 - 93343*j**2 - 186689*j - 93345 = 0.
-1, 93345
Solve t**2 + 1609*t - 42510 = 0.
-1635, 26
Suppose -4*y**4 + 68*y**3 + 15952*y**2 - 442736*y + 3038784 = 0. Calculate y.
-68, 14, 57
Suppose -x**3/3 - 218*x**2/3 + 1753*x - 1680 = 0. What is x?
-240, 1, 21
Solve -j**3/6 - 101*j**2/6 - 1475*j/6 + 1577/6 = 0 for j.
-83, -19, 1
Factor -z**4 - 104*z**3 + 8241*z**2 - 147316*z + 544180.
-(z - 26)**2*(z - 5)*(z + 161)
Solve 18*r**4/5 + 35751*r**3/5 + 41688*r**2/5 + 1191*r = 0.
-1985, -1, -1/6, 0
Factor 5*n**3 - 18495*n**2 - 148280*n.
5*n*(n - 3707)*(n + 8)
Let f**2 + 24427*f - 48858 = 0. What is f?
-24429, 2
Determine p, given that p**3/6 + 97903*p**2/6 - p/6 - 97903/6 = 0.
-97903, -1, 1
Solve -4*m**2 + 64780*m + 64784 = 0 for m.
-1, 16196
Suppose 2*r**3/7 + 542*r**2/7 - 14632*r | {
"pile_set_name": "DM Mathematics"
} |
90*q**4*z + 2*q - 198731*z wrt q.
-52600*q**3*z - 1080*q**2*z
What is the third derivative of 1284243*u*z**3 - 9*u*z**2 - 14089*u*z wrt z?
7705458*u
Differentiate c**4 - 14583*c**3 - 12101 with respect to c.
4*c**3 - 43749*c**2
What is the second derivative of -12*h**2*z**3 - 5051*h**2*z**2 - 2*h**2*z - 2913*h**2 + 3*h wrt z?
-72*h**2*z - 10102*h**2
What is the third derivative of -106470*c**3*w**5 - 2*c**3*w**3 - 8*c**3*w**2 - 318*c**3*w - 25*c*w**2 wrt w?
-6388200*c**3*w**2 - 12*c**3
What is the derivative of -1424*a**4 - a**2 + 53*a + 208055?
-5696*a**3 - 2*a + 53
What is the third derivative of -322*i**4*j - 112*i**4*u - i**3*j + i**3 - 4*i**2*j*u + 1057*i**2*j + i**2*u - i*j wrt i?
-7728*i*j - 2688*i*u - 6*j + 6
Find the third derivative of 139*k**5*m - 459*k**3*m - 25156*k**2*m - 2*k**2 wrt k.
8340*k**2*m - 2754*m
Find the third derivative of -2*j**2*t**4 - 55275*j**2*t**3 + 18*j**2*t**2 - 15*j**2 + 6*j + 5 wrt t.
-48*j**2*t - 331650*j**2
What is the second derivative of -4*f*s*u**2 - 424*f*s*u + 7468*f*u**3 - 2*s*u + 9*s wrt u?
-8*f*s + 44808*f*u
Differentiate -19*w**2*y**2 - 289*w**2*y + 4*w*y**2 + 43200*y**2 + y with respect to w.
-38*w*y**2 - 578*w*y + 4*y**2
Find the third derivative of 2046989*m**5 + 1386009*m**2.
122819340*m**2
Find the second derivative of 66261*g*q**2 + 3*g - 3*q + 3 wrt q.
132522*g
What is the second derivative of 263*s**3*v**2 + 192114*s**3*v + 10*s**2*v**2 - 2*s*v**2 + 2*s*v + 104*v**2 wrt v?
526*s**3 + 20*s**2 - 4*s + 208
Find the third derivative of -137518*d**3 + 498152*d**2.
-825108
What is the second derivative of 55846*k**2 + 43582*k wrt k?
111692
Differentiate 2*k**3 - 52452*k**2 - 343511 wrt k.
6*k**2 - 104904*k
What is the second derivative of -189214*n**3*o**3 - 6*n**3*o**2 - 2*n*o**3 - o**3 - 323165*o**2 wrt n?
-1135284*n*o**3 - 36*n*o**2
What is the second derivative of -10*c*y**2*z + 2*c*y**2 + 21*c*y*z - 369*c*y + 3*c*z - 269*y**2*z + y**2 - y wrt y?
-20*c*z + 4*c - 538*z + 2
What is the derivative of -176325*c + 366369 wrt c?
-176325
Differentiate -3*n**2*v + 2*n**2 + 94*n*v - 20*n + 2*v**2 + 19*v - 2676 with respect to v.
-3*n**2 + 94*n + 4*v + 19
What is the second derivative of 388*u**5 + 7*u**4 + u**2 + 72317*u + 3 wrt u?
7760*u**3 + 84*u**2 + 2
Differentiate 22423*y**2 - 3*y + 206799 wrt y.
44846*y - 3
What is the second derivative of -13904*x**4 + 7*x**3 + 4*x - 31600 wrt x?
-166848*x**2 + 42*x
What is the first derivative of -135621*z**3 + 104805?
-406863*z**2
Find the second derivative of -1536587*v**3 + v - 526622 wrt v.
-9219522*v
Find the third derivative of 2*a**2*q**4 - 9*a**2 + 14768*q**4 - 4661*q**2 wrt q.
48*a**2*q + 354432*q
Find the third derivative of -3*h**3*i**3*p*x - 45939*h**3*i*p*x**2 - 893*h**2*i**2*x - 2*h**2*p*x - 2*h*p*x**2 + 4*i**3*x**2 - 2*i*x**2 + p wrt h.
-18*i**3*p*x - 275634*i*p*x**2
Find the second derivative of -48383*b**5 - b**2 - 24522*b.
-967660*b**3 - 2
What is the second derivative of -2*b**5*k - 2083579*b**3*k**3 + 361*b + k**3 + 48 wrt b?
-40*b**3*k - 12501474*b*k**3
What is the second derivative of -3*w**5 - 7787*w**2 + 9*w + 1479?
-60*w**3 - 15574
Find the second derivative of -59317*u**4 + 84620*u wrt u.
-711804*u**2
What is the first derivative of -153623*p**3 + 17271 wrt p?
-460869*p**2
What is the first derivative of -2332*y**4 - 47*y**3 - 243679?
-9328*y**3 - 141*y**2
What is the third derivative of 452405*v**6 + v**2 + 42239*v + 1 wrt v?
54288600*v**3
What is the third derivative of 1361578*i**2*l**3*s**3 - 49*i**2*l**3*s - i**2*l**2*s - 3*i**2*l*s**2 - 7*i**2*s**2 - 16*i*l*s + 2*l**2*s**2 wrt s?
8169468*i**2*l**3
Find the first derivative of 518*b**4 + 5*b**2 + b + 117146 wrt b.
2072*b**3 + 10*b + 1
Find the third derivative of -6345*j**2*x**3 - j**2*x**2 + x**3 - 19322*x**2 wrt x.
-38070*j**2 + 6
Differentiate 939*b*l*n + 11*b*l - b*n + 30348*l*n - 2*l + n wrt b.
939*l*n + 11*l - n
What is the third derivative of 418*z**6 - 2*z**3 - 42*z**2 + z + 4 wrt z?
50160*z**3 - 12
What is the third derivative of 11753*l**6 + 2*l**4 + 2*l**3 - 13096*l**2?
1410360*l**3 + 48*l + 12
Find the second derivative of -9*k**5 - 9*k**3 - 78*k**2 + 264648*k.
-180*k**3 - 54*k - 156
What is the second derivative of 7*b**4 + 25*b**3 - b**2 - 24*b - 221?
84*b**2 + 150*b - 2
Differentiate 7*u**4 + 4*u**2 - 73*u - 106490 wrt u.
28*u**3 + 8*u - 73
What is the first derivative of -17*g**4*s - 12*g**2*s + 14*g**2 - g*s + 64169*s wrt g?
-68*g**3*s - 24*g*s + 28*g - s
Find the second derivative of 40*g**2*z**3 + 76*g**2*z**2 + 147405*g**2*z - g**2 - z**3 wrt z.
240*g**2*z + 152*g**2 - 6*z
Find the first derivative of -6332*h**2 + 61929 wrt h.
-12664*h
Find the second derivative of -2*w**4 - 17285*w**3 + 7*w**2 - 275772*w wrt w.
-24*w**2 - 103710*w + 14
Differentiate -1129*c - 106334 with respect to c.
-1129
Find the third derivative of -433671*r**3*y**3 + r**3 + 221*r**2 + 52*r*y**3 wrt r.
-2602026*y**3 + 6
What is the third derivative of 2*s**5 + 3795*s**4 + 3*s**3 + 7646*s**2 wrt s?
120*s**2 + 91080*s + 18
Differentiate 72*k**3 + 20*k**2 - 29*k + 828249 with respect to k.
216*k**2 + 40*k - 29
Find the third derivative of 10751*d**2*m**3*q + 11*d**2*m**2*q**2 - 9*d**2*m*q - d*m**3*q**2 + 4*d*m**2 + 2*m**2*q**2 wrt m.
64506*d**2*q - 6*d*q**2
What is the third derivative of 5418809*u**3 + 39*u**2 - 18079?
32512854
Find the third derivative of 587598*s**3 + 474253*s**2 wrt s.
3525588
What is the third derivative of 6217*f*n + 30*f*z**3 + 868*n*z**3 + 34*n*z - 3*z**3 + z**2 wrt z?
180*f + 5208*n - 18
What is the third derivative of -20432*z**4 + 1603896*z**2?
-490368*z
Find the third derivative of -2128238*i**5 - 37*i**2 - 154*i - 10.
-127694280*i**2
What is the third derivative of -11679*b*y**4 + 2*b*y**3 - b*y - 45*b + 2*y**4 - 8*y**2 - 3*y wrt y?
-280296*b*y + 12*b + 48*y
What is the second derivative of -q*r**3 - 24283*q*r**2 + 8175*q + 4*r**2 + 3*r wrt r?
-6*q*r - 48566*q + 8
Find the first derivative of 47*v**3 + v**2 + 1835*v + 40157.
141*v**2 + 2*v + 1835
What is the second derivative of 67710*f**3*r**2 - 2997*f**3*r + 5*f**2*r wrt r?
135420*f**3
Differentiate 911*n**2 - 560*n - 699159.
1822*n - 560
What is the first derivative of -3*c*j + 5854*c - 23231*j wrt j?
-3*c - 23231
Find the second derivative of 100909*h**3*u - 4*h**3 - h*u + 740*h - 2*u - 2 wrt h.
605454*h*u - 24*h
What is the second derivative of 3*k*q**2*x**2 + 318*k*q**2*x - 53*k*q**2 - 121*k*q*x**2 - 24*k*x + q**2 - 5*x**2 - 2 wrt q?
6*k*x**2 + 636*k*x - 106*k + 2
What is the derivative of 906869*j**2 - 990213 wrt j?
1813738*j
Find the second derivative of 50046*t**2 + 612*t + 115 wrt t.
100092
Find the second derivative of 15825*j**4 + 4*j**3 + 5*j**2 + 1108196*j.
189900*j**2 + 24*j + 10
What is the second derivative of 19181*k**5 + 131999*k?
383620*k**3
What is the second derivative of -348105*t**2 - 210678*t + 3?
-696210
What is the second derivative of -u**3 - 184410*u**2*z - 6*u*z + 4*u + 9*z + 2 wrt u?
-6*u - 368820*z
What is the first derivative of -2*l*o**2*t + 6*l*o**2 - l*o - 21018*l*t + 14*o**2 + 1 wrt t?
-2*l*o**2 - 21018*l
What is the first derivative of 2*g**3*v - 40965*g**3 - 6930*g**2*v**4 wrt v?
2*g**3 - 27720*g**2*v**3
What is the second derivative of -45436*y**2 - 2260*y - 10?
-90872
What is the derivative of -97038*z - 30542?
-97038
What is the second derivative of 176*u**4 + 85*u**2 + 14529*u?
2112*u**2 + 170
Differentiate -8*c*i*z - 7*c*i - c + 2*i*z**2 - 39864*i*z - 304*i - 1 wrt z.
-8*c*i + 4*i*z - 39864*i
Find the second derivative of 4*h**4 + 49904*h**3 + 1374626*h wrt h.
48*h**2 + 299424*h
Differentiate 17*d**2*w**2 - 31364*d**2 - 3383*d*w**3 with respect to w.
34*d**2*w - 10149*d*w**2
What is the derivative of 107*c**2*g**2 - 2873*c**2 - 2*g**2 - 551438 wrt c?
214*c*g**2 - 5746*c
Differentiate -34355*p**3*z**2 - 67548*z**2 wrt p.
-103065*p**2*z**2
Find the third derivative of 40613*i**3 + 19*i**2 + 539.
243678
Find the first derivative of -39*n**4 + 23019*n**2 + 2350241 wrt n.
-156*n**3 + 46038*n
Find the second derivative of d**4 + 193899*d**3 - d**2 + 2254*d + 6 wrt d.
12*d**2 + 1163394*d - 2
Find the third derivative of 17104*i**3*q**3 + 174*i**3 - 131*i**2*q**2 wrt q.
102624*i**3
Differentiate -170885*u - 231776 wrt u.
-170885
What is the first derivative of f*j**2*o*z | {
"pile_set_name": "DM Mathematics"
} |
What is the value of 8/28 - (5 + (-13 - 168/98))?
10
Calculate 16 + (-22 - -25)/(15/(-25)).
11
14/8 - -5*1/(-5)
3/4
What is (-5 - (3 - -37))/(327/218)?
-30
(-7)/(-42) - (-76)/(-228)
-1/6
Evaluate 38/(-2) + -3 + (-297)/27.
-33
Calculate -24*((-1 - -1)/(-6) - (-8)/(-16)).
12
Evaluate 18 + 1360/(-140) + -9.
-5/7
(304/(-3))/4*(-3843)/5124
19
((-35)/(-105))/(2/(-492))*(-57)/114
41
Evaluate 64/336*(-30)/20.
-2/7
What is the value of (-12)/10 - 5185/(-3050)?
1/2
What is the value of (-230)/(-12) + 376/(-2256)?
19
Calculate (3/(-7))/(6579/(-10234)).
2/3
Evaluate (2776/(-9716))/(5/7).
-2/5
Evaluate (-9)/6*4/24.
-1/4
Evaluate (-18)/(-108)*10*36/(-20).
-3
Calculate 1330/(-912) - (-20)/24.
-5/8
What is ((-45)/30 + (-505)/(-30))*(-90)/120?
-23/2
What is the value of 1/(-8) + (49 - 55) + 1209/200?
-2/25
(1/(-4) - (-175)/840)*-3
1/8
4/(-22)*(-3465)/(-6300)
-1/10
((-678)/(-12) + -34)*24/30
18
Calculate 3/(-2)*-2 + (-105)/168*-8.
8
Evaluate (161/7 - 2100/90)*(-2)/(-28).
-1/42
Evaluate ((-300)/(-200))/(1 + 31/(-4)).
-2/9
What is (-8 - -5)*16/180?
-4/15
((-2619)/679)/((-5)/35)
27
((-12)/(-21)*14/20)/((-220)/300)
-6/11
Evaluate ((-270)/24 + (-15 - -27))*6.
9/2
What is the value of (136/(-884))/((-66)/(-39))?
-1/11
(120/27)/(220/(-330))
-20/3
Evaluate ((-19116)/48321)/((-2)/26).
36/7
Calculate ((-2760)/28)/5 + (-7 - 188/(-28)).
-20
What is the value of (-56)/10 - ((-14 - 140/(-10)) + -6)?
2/5
What is the value of ((11907/72)/49)/((-12)/(-64))?
18
What is the value of 3/(126/(-2)) + 15180/1260?
12
Evaluate ((-60)/(-40) + 1)/(52 - 2).
1/20
Evaluate (-10)/(-15)*(-2610)/348.
-5
(15/9*96/80)/(-33)
-2/33
Evaluate 1 + (4 - 2) + 92/(-8) + 6.
-5/2
Calculate (-34)/(-3009)*(-1 - -4).
2/59
-19 - -6 - (-8 + 4)
-9
What is the value of (-7)/(252/279) + 8 - 0?
1/4
((-112)/32*(-44)/(-77))/(4/10)
-5
What is (0 - 8)/(-1) + (-440)/(-88 - -48)?
19
Calculate (-144)/16 + 70/(-14).
-14
What is the value of (-267)/9078 + (-4085)/(-170)?
24
1 + (-372)/27 - (-162)/(-729)
-13
What is 0/2 - (-225)/600?
3/8
1*-16 - (12 + (-1 - 25 - -13))
-15
Calculate 321/535 - ((-82)/30 + 1).
7/3
Evaluate ((-8)/5)/(-4)*(-6)/((-60)/275).
11
What is the value of 4 + 26/8*(-444)/(-111)?
17
What is 113/(-113)*-8*2?
16
((-5)/2)/(6/24 + 0)
-10
Evaluate 1/(4/(-10)*425/(-34))*55.
11
(-30)/(-10)*(35/(-3))/5
-7
Calculate (-1521)/676 - 106/(-8).
11
Evaluate (-6)/(-16)*(-20)/(-30) - 1995/140.
-14
Calculate -7*(-48)/448*(4 + 0).
3
What is the value of ((-247)/(-114) + (-3)/18)*-2?
-4
What is -1 + 28/20 - (-254)/(-10)?
-25
72/10 - 1529/695
5
What is the value of (-42*70/(-3675))/(1*(-2)/(-30))?
12
What is the value of 183*(-15)/90 - 50/(-20)?
-28
Evaluate (-27)/189 - (-2 + (-96)/(-14)).
-5
(9 + -3)*(-1243)/339
-22
What is the value of (-8 - 238/(-17)) + -16*3/6?
-2
((180/(-8))/5)/(((-350)/28)/(-25))
-9
What is the value of (6/32)/(1 + ((-115)/(-20) - 7))?
-3/4
Calculate 20/(-4) + 2*(4 + (-24)/16).
0
Calculate 132/(-143)*67/201.
-4/13
Evaluate ((-3)/(-9))/(-1)*(-2 + 350/154).
-1/11
(-12)/72*(-60)/(-15)
-2/3
Evaluate (-26)/(-14)*(-1820)/260.
-13
What is ((-461)/(-17) - 16) + (0 - 11)?
2/17
Evaluate (-52)/(((-6)/(-7))/(1041/(-4858))).
13
Evaluate -3 + 1 + -1 - (-561)/153.
2/3
What is 20/(-36) - (1/5)/((-51)/85)?
-2/9
What is (-16)/(-32)*(2 + (-36)/15)?
-1/5
What is the value of (47880/27360)/((-5)/4 - -1)?
-7
What is the value of ((-680)/16)/(-17) + (10/(-8) - 1)?
1/4
2 - (-772)/(-352) - 134/737
-3/8
(((-28)/(-4))/35)/((-3 - 4)/21)
-3/5
-4 + (280 + -278 - 3*2*-1)
4
Evaluate 98 + -98 - (27 + 2 + -7).
-22
Calculate (-4)/((-8)/5)*(-35 + 12330/350).
4/7
What is ((-7)/(-8) + -1)*(-1184)/296?
1/2
Evaluate 42/(-4) - (-14)/28.
-10
What is -3*19/(-24 - -195)?
-1/3
Evaluate (0 + (-45)/(-18))*48/30.
4
Calculate (-32*(-19)/1368)/(4/126).
14
Evaluate 16*(-5 + (-207)/(-42)) + (-44)/(-28).
3/7
What is 5990/(-4193)*84/10?
-12
Calculate -2 + -12 + (-3026)/(-221).
-4/13
What is the value of 214 + -210 - (1 - -12)?
-9
-16 - ((-30690)/75)/22
13/5
(12/72)/((35/(-28))/(15/6))
-1/3
(243/(-90))/(-9) - (-4)/32*-4
-1/5
Evaluate -7 + 2 + 6 - -2 - (3 + -15).
15
Evaluate 8 + 352/(-40) - (-4)/(-20).
-1
((-70)/(-12))/(834/(-18) - -48)
7/2
What is the value of (-41 - (-27 + -13))/(19/(-2))?
2/19
(-24150)/1610 + (-208)/(-14)
-1/7
What is the value of (-20)/264 + 1140/(-72) + 16?
1/11
What is the value of (-18711)/(-756) + (-3)/4?
24
Evaluate (8 + (-26)/(-8) - 4) + -8.
-3/4
(16/2)/1 + (88 - 105)
-9
Evaluate -5*(4 + 48/80).
-23
What is the value of ((-594)/(-6435))/(6/(-20))?
-4/13
-84 + 71 + 144/11
1/11
Evaluate (10/7)/(28 + (-4531)/161).
-10
Calculate (24/(-9))/(82/(-615)).
20
What is -1*1/7*(-49)/(-28)?
-1/4
What is the value of -9 + 3293/374 + 2/34?
-3/22
-2 - -3 - ((2 - 18) + 16)
1
Evaluate (((-4905)/(-1308))/((-21)/16))/(6/(-84)).
40
Calculate (1/10)/((-556)/2085).
-3/8
What is 162/(-45) - 8/15*(-24)/(-32)?
-4
(2 - ((-40)/8 + 3))*-1
-4
What is 4 - (-232)/(-64) - 153/(-360)?
4/5
Evaluate 35/14*1/(15/(-36)).
-6
What is the value of (-26)/1 - (-14678)/716?
-11/2
What is (14/4)/((-33)/(-22))*12/(-4)?
-7
What is the value of (-2461)/30820 - (-116)/3886?
-1/20
4/((-56)/(-259))*(-8)/(10 - 14)
37
Evaluate (89/(-623) + (-3545)/175)/((-9)/15).
34
What is (73/(-803))/(30/(-44))?
2/15
Evaluate (24 + 798/(-56))*(-16)/(-12).
13
(78/1170 + (-4)/(-15))/(8/(-18))
-3/4
What is (-216)/(-1200)*((-328)/72 - -5)?
2/25
Evaluate (20/(-770))/(2 - 1 - 88/154).
-2/33
Calculate (-26 - (-1785)/68)*(-64)/7.
-16/7
What is (-8 - -13) + -6 + ((-32)/11 - -4)?
1/11
What is the value of 68 - (130 - 58) - (-19)/5?
-1/5
(-1296)/50 + -20*36/9000
-26
What is ((-5369)/455 + (-1)/5)/3?
-4
(-2 + 3)/(7*8/(-112))
-2
(8862/(-18568))/(6/(-44))
7/2
Calculate 2/9 - 16/(-9216)*232.
5/8
What is the value of 23 + 154/(-14) - (3 + 23)?
-14
What is the value of (-67396)/(-2842) + 15/(-21)?
23
What is the value of 17/(-10) - (-29)/145 - (0 - -2)?
-7/2
What is the value of ((-62)/6)/((-1102)/3306)?
31
What is (192/(-80) - -3)*35/14?
3/2
Evaluate -4 + (-289)/(-51) + (-3)/(-9) - 0.
2
What is 76/10 - (-40)/(-4)?
-12/5
Evaluate ((-126)/30)/(48/(-160)).
14
(-52 - -65)*3/(-1 - 2)
-13
Calculate (12 - 1272/108)/((-6)/(-4) - 1).
4/9
Calculate 108/90 - 4032/(-240).
18
594/891*(-1*18 - 0)/1
-12
What is the value of (-1)/9 + (3740/153)/22?
1
What is (1 - 7)*(-18 - (-429)/26)*-1?
-9
Evaluate (-231)/(-24) + 351/936.
10
Evaluate (8/(-224))/((-15)/(-10)).
-1/42
What is the value of 5*(-56)/35 + 19?
11
Calculate ((-244)/30 + (-344)/(-43))*(-1 - -11).
-4/3
Calculate ((-8)/(-114))/((-360)/540).
-2/19
(8/(-300))/((-784)/1680)
2/35
What is the value of -18 + 45 + -7 + -15?
5
What is 156*(-9 - 545/(-60))?
13
Calculate -1*10/15*-6 + -3 + 7.
8
What is the value of (1735/1041)/(((-3)/(-36))/(1/2))?
10
1/7*((70 - 77) + 21/12)
-3/4
Calculate (-32 - (-1788)/48)*(-4)/(-3).
7
What is the value of -17 + (11 - (9 - 32))?
17
What is the value of 2/(10/(-65) + (-152)/(-143))?
11/5
Calculate -10 + ((-11 - (-116)/8) + -2)*-6.
-19
160/(-15) - 4 - (-14)/(-42)
-15
Calculate 7 - (88/12 + (520/(-30))/13).
1
22/(-55)*(-20)/52*(-1)/(-9)
2/117
Calculate 14/(-70)*-30 + -15 + 3 + 2.
-4
What is the value of (-11 - -13)/((-1840)/152 - -12)?
-19
Evaluate (-2568)/88 + (-10)/(-55) + -4.
-33
Evaluate ((-1296)/112 - -12)*6/(-9)*-42.
12
Calculate (2/14)/(444/1036).
1/3
What is the value of (-380)/35 - 66/462?
-11
Evaluate ((-15)/2)/(702/(-60) - (-10 + -2)).
-25
Evaluate ((-70)/(-6))/((-6270)/(-180) - 34).
14
What is (-2)/3*21/(-42)?
1/3
(2/10)/(16/20 - (-56)/(-105))
3/4
Evaluate (2 - (768/88)/6) + 0.
6/11
What is the value of 64 + -116 + 46 - 9/(-6)*1?
-9/2
What is the value of 16/88*-1*-1?
2/11
((-38)/(-114))/((-3)/12*2)
-2/3
Evaluate (279/1116)/((-69)/36).
-3/23
Evaluate (27 - (25 - 0))/(12/(-10)).
-5/3
Calculate 88440/662563 + (-4)/58.
2/31
What is the value of 6*3 - 122414/6941?
4/11
Evaluate 4/(-22) - (1/5 - 672/(-3080)).
-3/5
What is the value of 35/49 + (204/28)/1?
8
Evaluate (16/8)/(-1 + 42/39) + -10.
16
Calculate 5958/(-945) + (-4)/(-10) + 36/6.
2/21
950/(-228) + (-14)/(-84)
-4
Evaluate (4 - 1) + (-3)/((315/(-57))/(-5)).
2/7
Calculate 250/30 - (-1363)/(-141).
-4/3
Evaluate (-791)/(-245) + 87/435.
24/7
What is (20/(-6) - -2)*60/280?
-2/7
Evaluate 147/(-98)*(-2)/(-6).
-1/2
What is the value of -27 + 34/((-850)/(-875))?
8
What is the value of 12/15*(1 | {
"pile_set_name": "DM Mathematics"
} |
6
What is prob of picking 1 u and 1 y when two letters picked without replacement from {y: 2, p: 4, o: 7, g: 1, r: 3, u: 1}?
2/153
Two letters picked without replacement from {x: 3, g: 3}. Give prob of picking 2 g.
1/5
Four letters picked without replacement from {q: 1, r: 1, w: 1, m: 2, g: 4}. Give prob of picking 1 q, 2 g, and 1 r.
1/21
Three letters picked without replacement from {m: 4, p: 7}. What is prob of picking 3 m?
4/165
Three letters picked without replacement from xxxx. Give prob of picking 3 x.
1
Three letters picked without replacement from lgllllllllhll. Give prob of picking 3 l.
15/26
Four letters picked without replacement from prpiprwpprrpppip. What is prob of picking 1 r, 1 w, and 2 i?
1/455
Calculate prob of picking 4 x when four letters picked without replacement from {k: 3, x: 9, j: 4}.
9/130
Calculate prob of picking 2 r and 1 l when three letters picked without replacement from {l: 1, b: 2, r: 2}.
1/10
What is prob of picking 1 a and 2 e when three letters picked without replacement from {a: 4, w: 3, r: 6, e: 2}?
4/455
What is prob of picking 1 i and 1 e when two letters picked without replacement from {x: 2, i: 2, y: 2, w: 1, e: 1}?
1/14
Calculate prob of picking 1 l, 1 h, 1 w, and 1 q when four letters picked without replacement from {l: 2, q: 1, w: 5, h: 1}.
5/63
Calculate prob of picking 2 n when two letters picked without replacement from njnjjjjjjjjnjjj.
1/35
Four letters picked without replacement from onoooonnno. Give prob of picking 1 o and 3 n.
4/35
Calculate prob of picking 3 k and 1 u when four letters picked without replacement from ukukbkbbkkkowdkkdbok.
56/1615
Two letters picked without replacement from {x: 4, r: 3, s: 5, p: 7}. What is prob of picking 2 x?
2/57
Three letters picked without replacement from {j: 1, m: 1, y: 2, i: 1, a: 2}. Give prob of picking 2 y and 1 a.
2/35
What is prob of picking 2 o when two letters picked without replacement from {s: 2, v: 1, e: 2, k: 4, o: 2, z: 3}?
1/91
Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {y: 1, x: 2, v: 1, e: 2, a: 2, i: 1}.
1/9
Three letters picked without replacement from {q: 2, k: 2, y: 2, u: 3}. What is prob of picking 2 y and 1 k?
1/42
Four letters picked without replacement from rrfffgfgrffgg. Give prob of picking 3 r and 1 f.
6/715
Two letters picked without replacement from {v: 3, o: 1, m: 2, l: 5, f: 1}. What is prob of picking 1 l and 1 v?
5/22
Calculate prob of picking 1 k, 1 m, and 2 h when four letters picked without replacement from {h: 2, w: 2, k: 1, m: 3, o: 4}.
1/165
What is prob of picking 1 e and 1 q when two letters picked without replacement from wawafaawqwwwxxae?
1/120
Calculate prob of picking 1 p and 3 m when four letters picked without replacement from {p: 3, m: 11, q: 1}.
33/91
Three letters picked without replacement from {k: 8, n: 8, i: 4}. Give prob of picking 3 i.
1/285
Calculate prob of picking 1 i and 1 t when two letters picked without replacement from tuiuivi.
1/7
Two letters picked without replacement from ikkkgnknuniugnkgk. What is prob of picking 2 i?
1/136
Four letters picked without replacement from {w: 1, d: 4, m: 5}. Give prob of picking 3 d and 1 w.
2/105
Calculate prob of picking 1 p, 2 t, and 1 d when four letters picked without replacement from {p: 5, d: 3, t: 5}.
30/143
Calculate prob of picking 1 n, 2 e, and 1 r when four letters picked without replacement from {y: 3, b: 1, e: 4, o: 1, n: 1, r: 5}.
2/91
Calculate prob of picking 3 s when three letters picked without replacement from {n: 1, w: 2, s: 5, h: 1}.
5/42
Three letters picked without replacement from kkrrkkrkrkkrxrkxrk. Give prob of picking 3 k.
7/68
Four letters picked without replacement from vvuvuzvmvzvvtvt. What is prob of picking 2 z and 2 v?
4/195
Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {l: 3, w: 1, p: 5, e: 2, a: 1}.
1/66
Three letters picked without replacement from {m: 7, i: 3, b: 1, t: 3}. Give prob of picking 1 t, 1 i, and 1 m.
9/52
Two letters picked without replacement from {t: 2, q: 2, p: 5}. What is prob of picking 2 p?
5/18
What is prob of picking 3 n when three letters picked without replacement from {n: 13, g: 6}?
286/969
What is prob of picking 2 l when two letters picked without replacement from lefflezefzlfftfll?
5/68
Four letters picked without replacement from warchagr. What is prob of picking 1 c, 2 r, and 1 g?
1/70
Four letters picked without replacement from csrmsccrcsrmrrs. What is prob of picking 1 m, 2 c, and 1 s?
16/455
Calculate prob of picking 1 j, 1 d, and 2 q when four letters picked without replacement from djtddqdddccdccdq.
2/455
What is prob of picking 2 q when two letters picked without replacement from fffqffqqqqqfqqqffqf?
5/19
What is prob of picking 2 c and 2 u when four letters picked without replacement from {u: 1, d: 10, c: 7}?
0
Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhhhhhhhhhmhhhh.
17/20
What is prob of picking 1 h and 1 x when two letters picked without replacement from {n: 1, g: 2, h: 3, r: 2, v: 2, x: 2}?
1/11
Two letters picked without replacement from {k: 9, c: 2, w: 7}. What is prob of picking 1 w and 1 k?
7/17
Calculate prob of picking 1 v, 1 k, and 1 y when three letters picked without replacement from {v: 5, a: 3, y: 3, w: 2, k: 2}.
6/91
Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {y: 5, v: 2, k: 3}.
1/4
Calculate prob of picking 2 v and 2 a when four letters picked without replacement from {z: 2, b: 1, a: 6, v: 3}.
1/11
Two letters picked without replacement from ffffffffflffffffflff. What is prob of picking 2 l?
1/190
Two letters picked without replacement from {r: 2, a: 1, n: 4, h: 1, d: 3}. What is prob of picking 1 n and 1 r?
8/55
Four letters picked without replacement from zyymvsv. Give prob of picking 1 m, 2 y, and 1 z.
1/35
Three letters picked without replacement from hvhfvhv. What is prob of picking 1 v, 1 h, and 1 f?
9/35
Two letters picked without replacement from {z: 1, b: 12}. What is prob of picking 1 z and 1 b?
2/13
What is prob of picking 1 y and 2 l when three letters picked without replacement from oooolopoplloyl?
3/182
What is prob of picking 1 e and 1 h when two letters picked without replacement from {h: 1, e: 1, m: 1}?
1/3
What is prob of picking 3 c when three letters picked without replacement from {z: 1, m: 3, c: 5}?
5/42
Calculate prob of picking 3 k when three letters picked without replacement from {k: 10}.
1
Three letters picked without replacement from gggmggggmgmgggmm. Give prob of picking 3 m.
1/56
Two letters picked without replacement from bbrmvrrr. What is prob of picking 1 r and 1 m?
1/7
Four letters picked without replacement from {j: 1, u: 4, s: 5, v: 2, n: 1, g: 7}. Give prob of picking 3 s and 1 g.
14/969
What is prob of picking 2 h, 1 e, and 1 c when four letters picked without replacement from feeecmhfhmccfmmmeeff?
1/323
Calculate prob of picking 2 l and 2 g when four letters picked without replacement from lllllglg.
3/14
Calculate prob of picking 1 q, 1 a, and 1 j when three letters picked without replacement from azjayqwj.
1/14
What is prob of picking 2 m when two letters picked without replacement from {z: 1, m: 11}?
5/6
Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {g: 1, s: 2, a: 1}.
1/6
Four letters picked without replacement from eesyyiessysev. Give prob of picking 1 e, 2 s, and 1 y.
72/715
Four letters picked without replacement from juxuxxuujuuuuxxuxu. What is prob of picking 1 j and 3 x?
2/153
Three letters picked without replacement from {c: 2, v: 3, u: 6, h: 2}. What is prob of picking 3 u?
10/143
Four letters picked without replacement from {u: 5, f: 4, n: 2, g: 2}. Give prob of picking 3 u and 1 g.
4/143
Four letters picked without replacement from aaaaaaaaaa. Give prob of picking 4 a.
1
Calculate prob of picking 2 u and 2 n when four letters picked without replacement from naaanvuvu.
1/126
Three letters picked without replacement from ccivvgu. What is prob of picking 1 c, 1 i, and 1 u?
2/35
What is prob of picking 1 g and 1 v when two letters picked without replacement from vgvgvddxdv?
8/45
Calculate prob of picki | {
"pile_set_name": "DM Mathematics"
} |
-2939)). Let u = 19587/20 - r. Calculate the common denominator of u and 59/2.
20
Suppose -63*t + 60*t + 48 = 0. Let c(w) = w**2 + 5*w + 4. Calculate the least common multiple of t and c(-5).
16
Let z(r) = -r**3 + 7*r**2 - 11*r + 14. Calculate the lowest common multiple of z(5) and 7.
63
Let t = 8 - 6. Suppose t*h - 12 = -h. Let g = h + 4. Calculate the least common multiple of g and 16.
16
Let v be (-1 + 2)*-1*-2. Suppose 8 = -2*t - v*t. What is the lowest common multiple of (-11)/(3/(t - 1)) and 2?
22
Suppose -2*p + 22 = 4*f - 0, 55 = 5*p + 5*f. Calculate the least common multiple of 11 and p.
11
Let i = -2 - -10. Suppose 12 = -s + 4*s. Suppose -s*x - 60 = -9*x. What is the smallest common multiple of x and i?
24
Suppose 6 = 3*s + 3*v, 0*s - 2*v - 8 = -4*s. Suppose -4*n = 20, s*w + 12 = -0*w - 4*n. What is the least common multiple of 10 - (-3 + 1)/(-1) and w?
8
Let c = 26 - 53. Calculate the common denominator of c and -12/5.
5
Find the common denominator of 55/134 and ((-18)/96)/3 - -1.
1072
Let c = -5537/472364 - -1/1756. Let g = c + 6477/1883. Find the common denominator of -113/6 and g.
42
Let f = 61699/8 + -7722. What is the common denominator of -47/80 and f?
80
Suppose 0 = -2*w + 2*c + 2*c + 4, -2*c + 16 = 2*w. What is the smallest common multiple of (-14 - -14) + 18*1 and w?
18
What is the common denominator of 50/9 and (4/96)/((-10)/(-344))?
90
Let n = 10 + -11. Calculate the common denominator of 2/n - 296/112 and -79/12.
84
Let y = 1197816377/502194 + 2/83699. Let a = y - 2393. What is the common denominator of 32/7 and a?
42
Let v be 3*(11/3)/(-1). Find the common denominator of (119/35)/(4/15) and 1 - v*(-2)/(-4).
4
Calculate the common denominator of 4 - (414/4)/3 and 69/2.
2
Let q = 47044/65051 - -20115422225/1170918. Let z = -17180 + q. Let j = -1/63 - z. Calculate the common denominator of 73/14 and j.
14
Find the common denominator of 1/3 and (1 + -2)*2 - (-104)/25.
75
Let a = -168779/24552 - 2/3069. Calculate the common denominator of -38/9 and a.
72
Suppose 14 = j + 4*z, 4*z - 10 = -2*j + 2*z. Suppose -5*g + 0*g - 28 = -2*v, 3*v + g - 25 = 0. Calculate the smallest common multiple of v and j.
18
Suppose -2*b - 239 = 55. Suppose -2 = 3*a + 2*i, -8 = 5*i - 3*i. Calculate the smallest common multiple of ((-2)/(-6))/((-7)/b) and a.
14
Let h be 4/(-6) + 34/6. Suppose 0 = -2*c + c - 5*x + 2, -h*c + 3*x = -122. Calculate the least common multiple of c and 22.
22
Let v = 184/909 + 2/101. Find the common denominator of -99/4 and v.
36
What is the common denominator of 101/14 and 158/(-120)*20/(-8)?
168
Let o = 11/58481 + -1203305177/643291. Let q = o - -1867. Calculate the common denominator of q and 22.
11
Let r = 1/703 - 31651/11248. Let f be -6*(-1)/((-6)/4). Find the common denominator of r and (-137)/f + 1/4.
16
Suppose -5*m + 3*j + 26 = 0, -j + 14 = 5*m + 2*j. Suppose -o - 24 = -m*o. Calculate the least common multiple of o and 8.
8
Let a = 87/29136466 - -191783343988/53363437479. Let b = a + -1/333. Let f = -2339/148 - 72/37. What is the common denominator of b and f?
44
What is the smallest common multiple of 6/(-12)*-40 - (-1 + -1) and 10?
110
Let u = 10 - 7. Let l be 0/(u + 0 + -5). Suppose l = -i + 6 + 2. Calculate the least common multiple of 11 and i.
88
Let q = -1640229/215 - -7629. Let i = q + -2879/3010. Find the common denominator of i and 79/4.
28
Let l(h) = -4*h + 3. Let o be l(4). Let t = 17 + o. Calculate the lowest common multiple of 7 and t.
28
Let k = 29 - 14. Let t = 538 + -531. What is the least common multiple of k and t?
105
What is the common denominator of -13/4 and 1 + 1 - 504/(-16)?
4
Let l = -14439/56 - -2037/8. What is the common denominator of -59/10 and l?
70
Let r = 178/57 + -1351/1254. Calculate the common denominator of -101/2 and r.
22
Suppose 15 = 3*f - 5*g + g, 5*f = -2*g - 1. What is the common denominator of (f/(-10))/((-6)/(-365)) and -119/12?
12
Suppose 0 = 3*t + 2 - 8. Suppose -t*c + 3*h + 8 + 44 = 0, 3*c - 2*h = 68. Suppose 32 = 5*n - 48. Calculate the lowest common multiple of n and c.
80
Suppose -3*n + 683 = 2*x, -5*x + x = 3*n - 1369. Let j = -701/2 + x. What is the common denominator of -27/2 and j?
2
Let n(i) = i**2 + 5*i. Let k be n(-5). Suppose 55 = 5*f + p, k*p - 3*p = -4*f + 25. Calculate the least common multiple of f and 6/(-2)*11/(-3).
110
Calculate the lowest common multiple of (10 + -4)*(-1)/(-2) and 6.
6
Suppose 0 = 7*b + 21 + 7. What is the common denominator of -37/11 and b?
11
Let o = 5/136 + -1319/272. Calculate the common denominator of o and -83/24.
48
Let v = 24773065/11 + -2257625. Let a = -5524 - v. Find the common denominator of a and 25/3.
33
Find the common denominator of 3/16 and (-2 + 1)*481/(-117).
144
Let c be 20*(45/(-12))/(-3). Let q = c + -14. Calculate the least common multiple of q and 8.
88
Let b(t) = 2*t**2 - 15*t. What is the lowest common multiple of 14 and b(8)?
56
Find the common denominator of -35/8 and 6/32 - (-3 - -2).
16
Suppose -r + 2 = 1. Calculate the common denominator of (-48)/(7 + (-13)/(-2)) and 0 + r + 1/6.
18
Let v = -418 - -3357/8. What is the common denominator of v and -139/12?
24
Let o be (363/18)/(1/(-4)). Let q = -503/6 - o. What is the common denominator of q and 17/2?
6
What is the common denominator of -1/5 and ((-378)/(-11))/6 + -3?
55
Let p(l) = -4*l**3 - l**2. Let h be p(-1). Suppose 5*b + 22 = -u, -2*u + h*b + 12 = -3*u. Suppose u*m = -m + 44. What is the lowest common multiple of 11 and m?
11
Let r(l) = -l**2 - 6*l - 5. Let a be r(-4). What is the lowest common multiple of 18 and 0/(0 + a) - -14?
126
Let x(o) = 5*o**2 - 4*o + 2. Suppose -6 = -4*v + v. Calculate the lowest common multiple of x(v) and 22.
154
Calculate the common denominator of (-2 - 17)*(-5)/(-2) and -99/8.
8
Let q = -463875697 + 2077699301359/4479. Let h = q - 1/2986. Let r = -260599/22 - -11850. Find the common denominator of h and r.
66
Let u(t) = -4*t**2 - 2*t - 1. Let n be u(-1). What is the common denominator of 13/8 and 428/(-24) - (-2)/n?
8
Let o be (-88)/12*171226998/4. Let h = -547783722224/1745 - o. Let y = -2/349 + h. Calculate the common denominator of -67/8 and y.
40
Let o = 17 + -5. What is the smallest common multiple of o and 38?
228
Suppose -5*k + 10 = -0*k. Let u = k + 0. Let h = u - -5. Calculate the lowest common multiple of 6 and h.
42
Let a = -7 + 9. What is the smallest common multiple of ((-3)/2)/((-1)/a) and 9?
9
Let a(p) = -3*p - 2. What is the smallest common multiple of a(-2) and 14?
28
Suppose 16 + 12 = -4*h - 5*o, -h + 2*o = 7. What is the common denominator of (h + -2)/(5/3) and -42?
5
Suppose -6 + 1 = -q. What is the lowest common multiple of q and (-4)/(-6) + (-170)/(-51)?
20
Suppose -4*w + 3 + 1 = 0. Let t(l) = 11*l - 1. What is the smallest common multiple of 1 + 0*w/(-2) and t(1)?
10
Let g = -37 - -41. Suppose -2*y - 15 = -5*y. Suppose f + 2 = z, 0 = y*z + 5*f + 13 - 53. What is the smallest common multiple of z and g?
20
Let c = -45 + 195. Let j = 353 - 188. Calculate the common denominator of (18/j)/(9/c) and -38/3.
33
Let v be (4623/4)/((-70)/(-40)). Let w = v - 82255/126. What is the common denominator of -99/2 and w?
18
Let y be (0 + -20)/(1 + -2). What is the common denominator of 7/8 and (-5)/y*11/(-2)?
8
What is the least common multiple of 18 and (-7 - (0 + -4)) + 23?
180
Suppose -4*d = 4*k + 4, 5*k + 35 = 5*d + 2*k. Suppose -d*q + 1 = 9. Find the common denominator of (-142)/(-140) - q/7 and -41/5.
10
Suppose -w = 3*w - k + 13, 5*k - 2 = -w. Calculate the common denominator of 13/8 and (w/6)/(27/39).
72
Let r = -37 + 4. Find the common denominator of ((-4)/22)/(4/(-47)) and (r/(-8))/3 + -3.
88
Let h(o) = o**3 + 6*o**2 - 10*o - 9. Let s be h(-7). Calculate the least common multiple of 1 + s - 0 - 1 and 2.
12
Let h be (-4)/4 - (-20629)/(-104). Let j = h + -2407467/520. Let r = j + 4820. Find the common denominator of r and 23/7.
70
Suppose g - 3*h = 0, -g - 4*h + 26 = 2*g. What is the lowest common multiple of g and 104?
312
Let r = -11 - -5. What is the common denominator of -65/4 and r/40*484/12?
20
Find the common denominator of (5/25)/(4/94) and 19/10.
10
Suppose 34*l - 33*l = 58. Calculate the smallest common multiple of 16 and l.
464
Let r = -3/77 + 1025/616. Find the common denominator of r an | {
"pile_set_name": "DM Mathematics"
} |
+ 212*o - 214. Let q be f(1). Put 2, -2/5, q, j in descending order.
j, q, 2, -2/5
Let l(k) = k**3 - 6*k**2 - 4*k - 15. Let v be l(7). Suppose 910 = -4*x - v. Put -4, 5, x in ascending order.
x, -4, 5
Suppose -493 - 76 - 70 = -71*y. Sort 3, 2, -82, y in increasing order.
-82, 2, 3, y
Let j(k) = -5*k + 2. Let s be j(0). Suppose 9*v = s*v - 21. Let p = 40 - 39. Sort -5, p, v in increasing order.
-5, v, p
Suppose -24 = 10*i - 2*i. Let k be 4 - 2 - (1 + 3 + i). Suppose -3*a + 3*t + k = -2, 4*t = -a + 1. Sort a, 3, 0 in decreasing order.
3, a, 0
Suppose 0 = 5*y - 5, 81 - 90 = -5*j + y. Suppose -4*r - 20 = 0, j*p - 21 = 4*r + 7. Sort 2, -1, p, -125 in decreasing order.
p, 2, -1, -125
Let c = 3569 + -3577. Put 94, -2, 3, c in ascending order.
c, -2, 3, 94
Let y be (5 + -4)/((-1)/(12 - 4)). Let w be 2/(-18)*(19 + -28). Put y, w, 11 in ascending order.
y, w, 11
Let m(i) = i**2 - 5*i + 3. Let b be m(6). Suppose p - b = -2*p. Let d = 707 - 726. Sort 0, d, p in ascending order.
d, 0, p
Let c = -226/11 + 656/33. Sort 24, -0.4, c, 6.
c, -0.4, 6, 24
Suppose -n + 2093 = -2*d, -937 - 2206 = 3*d - 5*n. Sort 4, -3, d in ascending order.
d, -3, 4
Let m = -10930 + 32789/3. Sort -0.1, m, 0.2, 1/13, -15.
-15, m, -0.1, 1/13, 0.2
Let i = -0.2481 + 0.1891. Put 0.5, 4, i in decreasing order.
4, 0.5, i
Suppose l + 2*o - 2 = 0, -l - 3*o = -3*l + 11. Suppose 3*t = 4*s - 1, -10*s + 7 = -3*t - 9*s. Sort l, t, 2, 5 in increasing order.
t, 2, l, 5
Let v = -55 - -56.7. Let p = -35 + 37.1. Let j = p - v. Sort -1/6, -0.1, j in increasing order.
-1/6, -0.1, j
Suppose 0 = -899*m + 941*m - 3738. Let h be -90 - 2 - (3 + -2). Let n = m + h. Sort 1, 2, n, -5 in increasing order.
-5, n, 1, 2
Let z(d) = d - 11. Let a be z(6). Suppose 5*c + 49*n - 45*n = 28, 4*n + 44 = 4*c. Suppose 8 - 16 = -c*m. Put a, m, -6 in descending order.
m, a, -6
Suppose -4*r + 40 = 2*k, 22*r = 2*k + 24*r - 32. Put -5, k, 3, -19 in increasing order.
-19, -5, 3, k
Let n be (15 + (-2121)/147)*7/22. Put n, 56, 28 in descending order.
56, 28, n
Suppose 76*l + 452 = 72. Sort 2, l, 3, -7 in increasing order.
-7, l, 2, 3
Let x = -79.9 + 80. Let y = -4.86 + 4.76. Put 5, x, y in decreasing order.
5, x, y
Let x = 4936 + -98709/20. Put -4, x, 7, 0.5 in increasing order.
-4, 0.5, x, 7
Suppose -806 = -29*a - 2*a. Let i = a + -34. Put 8, i, 4 in descending order.
8, 4, i
Let a(z) = z**2 - 1. Let w(k) = -2*k**2 - 12*k + 13. Let m(g) = -a(g) - w(g). Let f be m(-13). Put f, -2, -9 in decreasing order.
f, -2, -9
Suppose m + 0*m = -3. Suppose -5*j + 4*p - 6348 = -6337, 5*j - 9 = -p. Sort j, m, -2, -24 in decreasing order.
j, -2, m, -24
Let n be (-82)/22 + 225/(-825). Put -64, 3, 6, n, -2 in descending order.
6, 3, -2, n, -64
Let b be 190/(-1805) - 66/95. Let q = -4.6 + -0.4. Put 0.22, b, q in descending order.
0.22, b, q
Let t = 8948 + -9411.7. Let p = -464 - t. Sort 22, p, 1 in ascending order.
p, 1, 22
Suppose 2*a - 5*w - 6 = 0, 9*w = 4*a + 13*w - 12. Let v(u) = u**2 - 51*u + 144. Let h be v(a). Put h, -1, 2 in decreasing order.
2, h, -1
Suppose 3*q + 4*v - 8 = 0, 5*q - 4*v - 2 = -5*v. Let i(t) = t**3 - 1. Let h be i(0). Let o be -2 - -6 - (8 - h). Put q, -2, o in decreasing order.
q, -2, o
Let a = -14.2 + 51.2. Let f = 17 - 13. Sort 4/7, a, -0.1, f.
-0.1, 4/7, f, a
Let h = 46567/8 + -5821. Sort h, 501, 0.5, -0.1.
h, -0.1, 0.5, 501
Let l = 0.018 - -0.082. Let d = 42 - 52. Let v = 10.5 + d. Put 4, l, 3/4, v in descending order.
4, 3/4, v, l
Let f = -5478 - -5487. Put f, 2, -4, 6 in descending order.
f, 6, 2, -4
Let q = 7572 + -7577. Put q, 6.2, 0.4 in increasing order.
q, 0.4, 6.2
Let t = 48 + -51. Suppose 0 = -2*r + r + 1, 0 = -5*p + 3*r + 22. Suppose v + p*v = -186. Sort v, 1, t in descending order.
1, t, v
Let n be -8 + (5 - 4) - (-9 + 1). Sort -2, 500, 5, n in descending order.
500, 5, n, -2
Let j = -5.22 - -72.62. Let d = j - 65.4. Sort -3, -0.7, d in decreasing order.
d, -0.7, -3
Suppose -5*u + 44 = 4*h + 8, -16 = -3*h - u. Let a be -2*(2 + (-75)/6). Suppose -h*j + 5 - a = 0. Put j, 5, 1 in ascending order.
j, 1, 5
Let f = -0.26 - -0.24. Put -1, 2/17, f in decreasing order.
2/17, f, -1
Let w = 3364 - 3372. Sort w, -1, -71, -4 in ascending order.
-71, w, -4, -1
Let z = 25.35 - 0.35. Let c = 20 + z. Let s = -43 + c. Sort -1/4, 4, 2/9, s in decreasing order.
4, s, 2/9, -1/4
Let x = -8389 - -8958.9. Let k = -570 + x. Put 0.02, -10, k in decreasing order.
0.02, k, -10
Let o be (52/(-39))/(1840/24). Sort -2/5, 2/5, 0.2, o in increasing order.
-2/5, o, 0.2, 2/5
Let c = -6 - -3. Let t = -2166.861 + 2164. Let u = 0.139 - t. Sort c, -2/7, 4, u in descending order.
4, u, -2/7, c
Let n(k) = k + 1. Let i be n(4). Let u = 116343 + -116339. Put 0, u, 11, i in decreasing order.
11, i, u, 0
Suppose -2*j + 2*h = 2*j + 132, -3*h = 2*j + 66. Let i(a) = a**2 + 25*a - 265. Let l be i(j). Put -4, -3, 7, l in descending order.
7, l, -3, -4
Let i = -310 + 315. Suppose -2*z = -5*n - 3*z - 13, -3*z = 2*n. Put n, i, -1, -4 in ascending order.
-4, n, -1, i
Suppose -6*m = -3*a - 5*m + 7, -4*a - 5*m = 16. Suppose 3834 = -363*x + 576*x. Put -4, a, x in decreasing order.
x, a, -4
Suppose 95*f + 780 = 175*f - 233*f - 237*f. Let k be 1 - (-1 + (-7)/(-1)). Put f, -11, k in increasing order.
-11, k, f
Let a = 2.3 - 1.2. Let p = 3.9 + a. Let c be ((-16)/(-14))/2 + (-5418)/7938. Put 4, p, c, 5/3 in descending order.
p, 4, 5/3, c
Let l = 1708.6 + -1709. Let h = 7 - 12. Let q(y) = -y**2 + 27*y - 49. Let u be q(25). Sort l, u, 2/5, h in increasing order.
h, l, 2/5, u
Let q(d) = -10*d**2 + 550*d + 2. Let j be q(55). Put 1/6, 1844, -5, j in increasing order.
-5, 1/6, j, 1844
Let w = -0.02 + -2.98. Let o(q) = -1515*q + 28753. Let s be o(19). Sort w, 3, s.
s, w, 3
Let u = 4/7 + -26/21. Let a = -14359 - -14363. Sort a, u, 21, 3.
u, 3, a, 21
Let u = -1.4 + 0.9. Let b = 2954.05 + -2954. Put b, -2, 3, u in decreasing order.
3, b, u, -2
Let j = 850 + -1199. Let l = 347 + j. Put -0.03, -0.4, l, -5 in increasing order.
-5, l, -0.4, -0.03
Let p(x) = -3*x + 12*x - 32 - 12*x - x**2 + 2*x**2 + 0*x. Let g be p(7). Sort 4, g, -1, 29 in ascending order.
g, -1, 4, 29
Suppose 29*s - 220 = -15*s. Suppose 4 = -g + 2*g, 0 = -s*a - g - 21. Put a, 1, -59 in decreasing order.
1, a, -59
Suppose 0 = 3*z + 4*x - 6, -5*z - 2*x + 8 + 2 = 0. Suppose -2*v - 6 + 1 = 3*d, 3*d = -v - 1. Let w be (-374)/(-99) - 4*d. Put z, w, -2 in descending order.
z, w, -2
Suppose -3*k = -k + 10. Let d = 4.1 + -0.1. Let v be -11 + (1 - -6)/7. Sort d, v, k.
v, k, d
Let n = -266 + 266. Let w = -114.1 - -111.9. Put -5/2, w, n, 1 in descending order.
1, n, w, -5/2
Let w be (13 - 642/48)*(6 + -2)*-1. Sort w, -2/21, -5, 17, 1.
-5, -2/21, 1, w, 17
Let o = 0.9 + 3.1. Let j be (280/60)/((-2050)/15). Let x = j - 163/1230. Sort o, 2, x, 1/4 in ascending order.
x, 1/4, 2, o
Let p = -1507 - -1502. Let w = 37 + -28. Put -2, 0, p, w in decreasing order.
w, 0, -2, p
Suppose 8 = 5*v - r + 1, 0 = 5*v + r - 3. Suppose 10*b = 12*b. Let s = -12016 - -12013. Put v, s, b in decreasing order.
v, b, s
Let k = 1.87 + -4.87. Sort -0.08, -0.05, k.
k, -0.08, -0.05
Suppose 0 = -9*u + 13*u - 36. Suppose -2*y + 3*o + 15 = -y, 4*y - o - 27 = 0. Suppose y*q = u*q - 12. Put q, -4, 0 in descending order.
q, 0, -4
Let n = -5879/131670 - -3/14630. Put n, -6, -4 in ascending order.
-6, -4, n
Let o = -1601.3 + 1601. Put -2/5, 1.9, 0.1, o in decreasing order.
1.9, 0.1, o, -2/5
Let l = -0.05834 + 0.25834. Sort -3, l, 4, 6, -4 in increasing order.
-4, -3, l, 4, 6
Let v = -3.448 + 0.448. Let r = 7 - -1. Let n = r + -7. Put 1.4, v, n in descending order.
1.4, n, v
Let a = -328.24 + 317.24. Sort -1, a, 1/10, 9.
a, -1, 1/10, 9
Suppose 12 = -y - 2*y. Let s = 65487 + -65490. Sort 0, y, 4, s in decreasing order.
4, 0, s, y
Suppose -4*j - 5738 + 5742 = 0. Put 5, j, 0, -2, -25 in descending order.
5, j, 0, -2, -25
Let t(g) = -189*g**2 + 5291*g + 19. Let y be t(28). Put y, 1, -1, 4, -3 in ascending order.
y, -3, -1, 1, 4
Suppose -41*h - 549 + 144 = -77. Sort h, -2/3, 0.17 in descending order.
0.17, -2/3, h
Let o = 2861 + -2865. Put o, 3/5, -381 in increasing order.
-381, o, 3/5
Suppose -3*m - 285 = -v, -3*v + 82*m - 87*m + 771 = 0. Sort -1, 5, v in ascending order.
-1, 5, v
Let m(q) = q + 8. Let u be m(-11). Suppose 8 = -2*o - 5*p, 0 = -o - 2*o - 3*p - 3. Suppose | {
"pile_set_name": "DM Mathematics"
} |
q - 5*a + 10 = 0, 1 = w*q - 5*a - 29. What is the highest common divisor of 14 and q?
2
Suppose 5*q - 7*h - 776 = -9*h, -5*q - 5*h + 770 = 0. Calculate the highest common factor of 208 and q.
52
Let o be ((-6)/(-4))/((-27)/252). Let v be (-4)/o + 19/7. Suppose -q - 2 = 4*s - 0, 6 = -v*s. What is the greatest common divisor of 42 and q?
6
Let n(s) = s**3 + 9*s**2 + 12*s + 16. Let p be n(-4). Let u be (56/(-3))/((-4)/p). Calculate the greatest common factor of 14 and u.
14
Let m = 854 - 838. What is the highest common factor of m and 10?
2
Suppose -144 = 16*d - 432. Let x = 33 + 111. What is the greatest common factor of d and x?
18
Let k = -20 - -20. Let d be (6/(-2) + 3)*1. Suppose d*w + w - 11 = k. Calculate the greatest common divisor of w and 1.
1
Suppose -5*j + 5 + 10 = 0. What is the greatest common divisor of j and 1?
1
Suppose 0 = 30*s - 103*s + 1314. What is the highest common divisor of s and 639?
9
Let c be 697/82 + 2/(-4). Calculate the greatest common divisor of c and 480.
8
Suppose 4*q - 9281 = -7681. What is the highest common factor of 320 and q?
80
Suppose 10*g - 14*g + 40 = 0. Let l be (-4)/g + 5220/50. Suppose 0*k = -5*k + 2*n + l, 4*k + n = 91. Calculate the highest common divisor of 44 and k.
22
Suppose 11 = 4*j + p, j + 2*j - 5 = -4*p. Suppose -5*a + 104 = 3*b, -b + 22 = -j*a + 6. What is the greatest common divisor of 252 and b?
28
Suppose 5*v - 70 = 4*x, -2*v + v + 2*x + 20 = 0. Let p = 2 + 2. Suppose -v*f + 132 = -p*f. Calculate the greatest common factor of f and 198.
22
Let g = 87 + -83. Let f = 58 - 34. Suppose f = g*q - q. Calculate the highest common factor of 24 and q.
8
Let h be (5 - -4)*2/6. Suppose h*g + 132 = -g. Let n = g - -35. Calculate the greatest common factor of n and 22.
2
Let b(m) = -16*m + 69. Let n be b(3). Suppose 10*s - 105 = 5*s. What is the highest common factor of n and s?
21
Suppose 9*r - 381 - 1023 = 0. What is the highest common divisor of 208 and r?
52
Let r be 93 - (104/16 + 10/(-4)). Calculate the greatest common divisor of 1513 and r.
89
Let n be -6 + -1 + 0 + 2. Let j(w) = w**3 + 5*w**2 - 2*w + 6. Let r be j(n). Suppose -4*f + 80 = -3*f. Calculate the greatest common factor of f and r.
16
Let v(c) = c**2 + 2*c. Let l be (-5)/(5 - (1 + 3)). Let t(x) = -2*x - 6. Let a be t(l). Let h be v(a). What is the greatest common factor of 168 and h?
24
Suppose 14 + 29 = o. Suppose -v = -6, -60*v + 56*v = -n + 449. Calculate the greatest common divisor of o and n.
43
Let b(p) = p**2 - 16*p + 18. Let y be b(12). Let z be ((-6)/(-4))/(y/(-100)). Calculate the highest common factor of 40 and z.
5
Suppose 3*p - 99 = -2*v, 0 = -0*v + v + 3*p - 54. Let t be (-36)/v*(-2 + 213/(-6)). Calculate the highest common factor of t and 12.
6
Let f = 8 + -4. Let j(z) = -8*z**2 - 2*z. Let d be j(1). Let o be -1*(-48)/d*(-20)/6. What is the greatest common factor of o and f?
4
Suppose 98*z - 100*z = -112. What is the highest common divisor of z and 16?
8
Let k(w) = -2*w**3 + 2*w**2 + 2*w - 1. Let x be k(2). Let m be (-3)/5*425/x. Calculate the greatest common divisor of m and 34.
17
Suppose 5*c - 724 = 2*t - 4*t, 4*c - 568 = 4*t. Let q = c + -356. Let z = -113 - q. What is the highest common factor of 11 and z?
11
Let x = 28 - 12. Suppose 5*z = z + x. What is the highest common factor of z and 10?
2
Suppose 0*t = 3*h - 4*t - 21, h = -4*t + 23. Let a = h + 7. Suppose 5*v = -0*s + 3*s + 798, -3*s + 174 = v. Calculate the greatest common divisor of a and v.
18
Let b be -5*(8/(-10) - 0). Suppose b*l - 33 = 63. Calculate the highest common factor of l and 60.
12
Let v(f) = 46*f**2 - 10*f + 17. Let k be v(4). What is the highest common divisor of k and 31?
31
Suppose -4*n + 130 = -2*d, -d + 143 + 16 = 5*n. Suppose -4*t = 0, -5*i + 2 + 18 = -t. What is the greatest common divisor of i and n?
4
Suppose -26*n = -19*n - 1820. What is the greatest common factor of n and 20?
20
Let q(u) = -u. Let c be q(0). Suppose c = f + 5*f - 144. Let p(w) = -120*w. Let l be p(-1). What is the highest common divisor of f and l?
24
Suppose -6 = -2*k + 4. Let n(y) = 4 - 6*y + 7*y - k - 5*y. Let r be n(-3). What is the highest common divisor of r and 88?
11
Let b = 62 + -27. Suppose -2*m - 3*m + b = 0. Let c be (-2)/(-6)*-56*-3. Calculate the greatest common divisor of m and c.
7
Suppose 0*b - 6*b + 108 = 0. What is the highest common factor of b and 549?
9
Let o be 2 - (-6)/12*0. Calculate the greatest common divisor of o and 78.
2
Let p be (-3 - 0) + (10 - -8). Let c be 104 - 1 - ((-2 - 4) + 4). Calculate the highest common factor of p and c.
15
Let h be 1 - (-2 - (-3 - -2)). Suppose 0 = -k - h*k - 5*c + 42, 0 = 5*c. What is the highest common factor of 70 and k?
14
Let v = 94 - 60. Suppose 11*o - 7*o = 0, x - 7*o - 51 = 0. What is the greatest common divisor of v and x?
17
Let f = 79 + -77. Suppose -f*h + 4 = -0. What is the greatest common factor of 8 and h?
2
Let p = -240 - -410. Calculate the greatest common divisor of p and 595.
85
Let x(s) = -s**3 - 15*s**2 - 14*s + 4. Let r be x(-14). Suppose 0 = -2*m - 8, 2*v - r*m = v + 23. Calculate the highest common factor of 77 and v.
7
Suppose -3*u - 12 = -2*p + 26, p = -5*u + 6. Calculate the highest common factor of 144 and p.
16
Suppose l + 0*l - 10 = -4*x, 10 = l + 2*x. Suppose -4*i = -4*t + 76, t - l = 5*i + 21. What is the greatest common factor of t and 16?
16
Let g = -29 + 57. Let d = -89 + 159. Calculate the greatest common factor of d and g.
14
Let q(h) = 73*h - 558. Let m be q(11). Calculate the highest common divisor of m and 105.
35
Suppose 0 = 5*c + 41 - 66. Suppose 0 = c*p + 4*o - 71, -2*p + 18 = -p - 3*o. Calculate the highest common factor of p and 75.
15
Suppose -34*p + 80 = -29*p. What is the greatest common divisor of 48 and p?
16
Let a be -2 + (-9)/(18/(-404)). Suppose a = 25*y - 20*y. Calculate the highest common factor of 8 and y.
8
Suppose -b = -3*q + 675, 5*q + 0*b - 1135 = 5*b. Calculate the greatest common divisor of q and 32.
32
Suppose -44 = -3*q + 1. Let r = q + -1. What is the highest common divisor of r and 14?
14
Let q = 1181 - 806. What is the highest common divisor of q and 50?
25
Suppose 3076 + 2600 = 66*d. What is the greatest common divisor of 1075 and d?
43
Let l be 18/27 + 194/6. Let f = 69 - l. Calculate the highest common divisor of 12 and f.
12
Let b be (2 + (-24 - 8))/(12/(-80)). Calculate the greatest common divisor of 20 and b.
20
Let t(p) = 341*p - 17. Let h be t(1). Calculate the highest common divisor of 4 and h.
4
Let b be 35 + -15 - (-6 + 1). Calculate the highest common divisor of 115 and b.
5
Let i = -50 - -46. Let p = i + 14. Calculate the greatest common divisor of p and 70.
10
Suppose -861 + 21 = -8*u. Calculate the highest common divisor of 135 and u.
15
Let x = 171 - 142. Calculate the highest common factor of x and 145.
29
Let s(f) = 7*f**2 - 4*f - 16. Let h(c) = c**2 - 1. Let v(w) = 6*h(w) - s(w). Let a be v(5). Let j = 11 - a. Calculate the highest common divisor of j and 15.
3
Let f = -955 + 963. Let k(t) = t**3 - 2*t**2 - 3*t. Let u be k(3). Suppose u + 64 = 2*a. Calculate the highest common factor of a and f.
8
Suppose 0 = -2*f + 28 - 0. What is the greatest common divisor of f and 1414?
14
Suppose -3*b - 2*c = -0*b - 55, c + 96 = 5*b. Let h(d) = 18*d**2 - 1. Let m be h(-1). Let x = 55 - m. Calculate the highest common divisor of x and b.
19
Suppose o + h - 16 = 0, 0 = -3*o + h + 4*h + 32. Suppose -5*y + 2*v + 14 = 0, 12 = 3*y - 5*v + 2*v. What is the greatest common divisor of y and o?
2
Suppose a - 140 = -5*n, 4*a + 0*a = n - 49. Suppose 3*z - p = 787, 0 = -2*z - p + 263 + 255. Calculate the greatest common factor of z and n.
29
Let n(v) = v - 9. Let j be n(11). Suppose -228 = -2*h + 4*i, j*i = -5*h - 2*i + 500. Calculate the highest common divisor of 13 and h.
13
Suppose -4*x = -7 + 27. Let p(v) = -2*v**2 - 8*v - 3. Let w be p(x). Let s = 15 + w. What is the highest common factor of s and 5?
1
Suppose 2 = 4*s - 3*s. Suppose 3*b = p + 163, b - s*p - 73 = -22. What is the greatest common factor of b and 22?
11
Let w(g) be the first derivative of 3*g**2/2 - 11*g + 4. Let j be w(9). Suppose -x = 2*x - 6. Calculate the highest common divisor of j and x.
2
Suppose q + 8 = w, 0 = 3*w - 2*w - 4*q - 17. Let l(r) = -r**3 - 20*r**2 + 22* | {
"pile_set_name": "DM Mathematics"
} |
+ a**2 - 104953654*a**3.
-3*a**3
Collect the terms in -157*i**2 + 311*i**2 - 1793681*i**3 - 154*i**2 + 1793621*i**3.
-60*i**3
Collect the terms in -52*m - 6*m - 59*m - 49*m + 2*m - 22*m + 6*m.
-180*m
Collect the terms in -20070*g**2 + 120395*g**2 - 20069*g**2 - 20071*g**2 - 20042*g**2 - 20069*g**2 - 20072*g**2.
2*g**2
Collect the terms in 2*s - 337680*s**2 + 665 + 337679*s**2 - 2*s.
-s**2 + 665
Collect the terms in -3*w**2 + 24 - 3135*w - 12 - 8 + 3135*w - 7.
-3*w**2 - 3
Collect the terms in -119 + 250 - 140*o - 2983*o - 132.
-3123*o - 1
Collect the terms in 89*q - 130*q + 242678*q**3 - 242676*q**3 + 41*q.
2*q**3
Collect the terms in -98*k - 20*k**3 - 101*k + 297*k - 22*k**3 - 98*k.
-42*k**3
Collect the terms in 2229*f + 2226*f + 2225*f + 4264*f**3 - 6680*f.
4264*f**3
Collect the terms in -47 - 297*d - 3*d - 47 + 101.
-300*d + 7
Collect the terms in -41*v**2 - 1 + 35010*v + 0 - 5265*v - 13*v**2 + 53*v**2.
-v**2 + 29745*v - 1
Collect the terms in 231417 - 231417 + 3*v + v**2 + 4*v - 7*v.
v**2
Collect the terms in -386 - 224 + 77*f**2 + 610 - 963*f**2.
-886*f**2
Collect the terms in -345 + 42963*s + 345.
42963*s
Collect the terms in 574*c - 1826*c + 553*c + 440*c + 423*c.
164*c
Collect the terms in 41637*i**2 + 129924*i**2 + 174681*i**2 + 65362*i**2.
411604*i**2
Collect the terms in -41 + 192*h**2 + 70 - 29 + 192*h.
192*h**2 + 192*h
Collect the terms in -132 + 185*h + 517 - 141 - 122 - 122.
185*h
Collect the terms in 41 + 645*z - 40 - 2*z**2 - 2*z**2.
-4*z**2 + 645*z + 1
Collect the terms in 8567*w - 3*w**2 - 3209*w - 2684*w - 2674*w.
-3*w**2
Collect the terms in 62814 + 2501*l - 62814.
2501*l
Collect the terms in 26454*q**3 + 26481*q**3 - 52763*q**3.
172*q**3
Collect the terms in -599215*t - 698*t**3 - 599205*t + 1198427*t.
-698*t**3 + 7*t
Collect the terms in -136 - 64*b**3 - 227 + 368.
-64*b**3 + 5
Collect the terms in -138*u + 2 - 2 + 116*u + 19*u + 6*u.
3*u
Collect the terms in 3189*k**2 - 2 - 2*k**3 - 2063*k**2 - 1618*k**2.
-2*k**3 - 492*k**2 - 2
Collect the terms in -101 - 102 + 177 - 3648*i.
-3648*i - 26
Collect the terms in -9 + 0*j + 1521*j**3 - 3070*j**3 + 0*j + 1853*j**3.
304*j**3 - 9
Collect the terms in -21*m**2 + 3*m**3 + 13*m**3 - 35*m**3 + 101*m**2 - 61*m**2 + 7*m**3.
-12*m**3 + 19*m**2
Collect the terms in -4*z**2 + 6572*z**3 - 6574*z**3 - 33*z + z**2 - 5*z**2.
-2*z**3 - 8*z**2 - 33*z
Collect the terms in 22 + 15290*s**3 - 22 + 46810*s**3.
62100*s**3
Collect the terms in 6270*p**2 - 10*p - 2 + 9*p + 70*p**2.
6340*p**2 - p - 2
Collect the terms in 3002736 - 3002736 - 1964*l**2.
-1964*l**2
Collect the terms in -1441*w + 4252*w - 1436*w - 1369*w.
6*w
Collect the terms in 121*q + 101*q + 109*q + 113*q + 96*q - 515*q.
25*q
Collect the terms in 23008*x - 23055*x + 303671 - 303671.
-47*x
Collect the terms in -539902177238 + 3*j**2 + 539902177238.
3*j**2
Collect the terms in 95*a**3 + 260*a**3 + 87*a**3 + 24*a**3 + 94*a**3 - 533*a**3.
27*a**3
Collect the terms in -482*u**2 - 465*u**2 + 1926*u**2 - 457*u**2 - 485*u**2.
37*u**2
Collect the terms in -571*a - 505 + 505 + 584*a.
13*a
Collect the terms in -2321461 + 2321461 + 6282*d**2.
6282*d**2
Collect the terms in 945*m**2 - 57*m + 57*m - 36 + 36 - 966*m**2.
-21*m**2
Collect the terms in 8*g + 61 + 10 - 89 - g + 7 + 11.
7*g
Collect the terms in 12493*o**2 - 6494*o**2 - 32 - 6003*o**2.
-4*o**2 - 32
Collect the terms in -108162*s**3 + 8201*s**3 - 23*s + 51*s - 28*s.
-99961*s**3
Collect the terms in 560*q - 1679*q + 542*q + 606*q.
29*q
Collect the terms in 29886*s**3 - 45 + 61550*s**3 + 45.
91436*s**3
Collect the terms in 1092597 - 1092597 - 2655*k**3 + 1327*k**3 + 1330*k**3.
2*k**3
Collect the terms in -317 - 164 - h + 8*h**2 + 481.
8*h**2 - h
Collect the terms in 7*v + 24*v - 17*v - 35 + 56.
14*v + 21
Collect the terms in -1 + 2 + 0 - 3*l - 6*l**3 - 147*l**2 + 8*l**3.
2*l**3 - 147*l**2 - 3*l + 1
Collect the terms in 6 + 3 - 7 + 63*w**2 + 59*w**2.
122*w**2 + 2
Collect the terms in 811856*z**3 - 1647014*z**3 + 835162*z**3.
4*z**3
Collect the terms in -30109*b**2 + 173 - 20183*b**2 - 173.
-50292*b**2
Collect the terms in -31*n**2 - 2481827896 + 2481827896.
-31*n**2
Collect the terms in -131*s**3 + 92*s**3 + 10*s**2 + 38*s**3 + 8*s**2.
-s**3 + 18*s**2
Collect the terms in 2751631213419 + a - 2751631213419.
a
Collect the terms in -13234*n**2 - 11197*n**2 + 68509*n**2 + 80149*n**2 + 112622*n**2.
236849*n**2
Collect the terms in s + 2*s**2 + 11*s - 12*s + 7 - 66 - 63.
2*s**2 - 122
Collect the terms in -19*x**2 - 486*x + 1 + 0*x**2 + 17*x**2 + 108*x.
-2*x**2 - 378*x + 1
Collect the terms in 25824*x**2 + 17419*x**2 + 752921*x**2.
796164*x**2
Collect the terms in -457304*i**2 - 745500*i**2 + 276624*i**2.
-926180*i**2
Collect the terms in 392669*a**2 + 390935*a**2 - 781377*a**2.
2227*a**2
Collect the terms in 2 - 5096*f - 18 + 2870*f - 4706*f.
-6932*f - 16
Collect the terms in -137*c**2 + 753*c**2 - 144*c**2 - 152*c**2 - 138*c**2 - 144*c**2.
38*c**2
Collect the terms in -6566 - 11*f + 6660 - 41*f.
-52*f + 94
Collect the terms in -244*k**3 - 605*k - 102*k**3 - 467*k.
-346*k**3 - 1072*k
Collect the terms in -3171*n**2 + 795*n**2 + 789*n**2 - 146*n**3 + 790*n**2 + 797*n**2 + 148*n**3.
2*n**3
Collect the terms in 3380623*t**2 + 3380882*t**2 - 6757911*t**2.
3594*t**2
Collect the terms in -4*z + 4*z + 17829 - 35684 + 17840 + 7*z + z.
8*z - 15
Collect the terms in 316*o**2 - 3098*o + 1548*o + 1550*o - 157*o**2 - 172*o**2.
-13*o**2
Collect the terms in 1182*x**3 - 14*x - 16 + 1034*x**3 + 16.
2216*x**3 - 14*x
Collect the terms in -2 - 10 + 0 + 26 - 7 - 242*w**2.
-242*w**2 + 7
Collect the terms in -7*l**2 - 1213*l**3 + 7*l**2 + 2236*l**3 - 1014*l**3.
9*l**3
Collect the terms in 2 - 1 - 135874*f + 30705*f - 1.
-105169*f
Collect the terms in 165501*z**2 - 818 - 165171*z**2 + 818.
330*z**2
Collect the terms in 44 - 30*a + 2 - 131 + 45 + 40.
-30*a
Collect the terms in -195*w**2 - 191*w**2 + 74*w**3 - 198*w**3 + 81*w**3 + 386*w**2.
-43*w**3
Collect the terms in 2524*l**3 - 1691*l**3 + 10416*l**3 + 25329*l**3 + 63773*l**3.
100351*l**3
Collect the terms in 7 + 15*n**3 + 34*n**2 - 12*n**3 + 109*n**2 - 8*n**3.
-5*n**3 + 143*n**2 + 7
Collect the terms in 11940939*s**2 - 11940939*s**2 - 82*s**3.
-82*s**3
Collect the terms in 470*o**3 + 2574*o**2 - 5121*o**2 + 2551*o**2.
470*o**3 + 4*o**2
Collect the terms in 3573887 + 31*y - 3573887 - 5*y**2 - 2*y**2.
-7*y**2 + 31*y
Collect the terms in 118*n + 132*n - 2026*n + 1895*n.
119*n
Collect the terms in -4*b + 203 - 137 + 5*b**3 - 66 + 6*b.
5*b**3 + 2*b
Collect the terms in 12*i + 71*i**2 - 48*i**3 + 45*i**2 - 47*i.
-48*i**3 + 116*i**2 - 35*i
Collect the terms in -2*k**3 - 29848*k**2 + 40 + 29854*k**2 - 40.
-2*k**3 + 6*k**2
Collect the terms in 6*y**3 - 750928*y + 750928*y.
6*y**3
Collect the terms in -1454*i - 1459*i + 7274*i - 1451*i - 1449*i - 1442*i.
19*i
Collect the terms in -1 + 84*y**2 - 7*y**3 + y**3 - 14*y**3.
-20*y**3 + 84*y**2 - 1
Collect the terms in 27*c**2 + 94364413*c - 56*c**2 - 94364413*c.
-29*c**2
Collect the terms in -2269201 - 5*f**2 + 1134563 + 11*f**2 + 1134638.
6*f**2
Collect the terms in 316 + 411 - 727 - 29086*q**2.
-29086*q**2
Collect the terms in 798*w**3 + 252*w**3 - 1842*w**3 + 793*w**3.
w**3
Collect the terms in -3937*m**3 - 1501*m**3 + 1547*m**3.
-3891*m**3
Collect the terms in 6484659*g - 6484659*g - 11*g**3.
-11*g**3
Collect the terms in 2571*l + 454*l + 12 + 67*l - 694*l + 1776*l.
4174*l + 12
Collect the terms in 439571*x - 1318805*x + 439531*x + 439540*x.
-163*x
Collect the terms in 123329*f + f**2 + 2*f**2 + 123246*f - 369825*f + 123250*f.
3*f**2
Collect the terms in -66 + 75 - 116*v + 519*v + 128*v.
531*v + 9
Collect the terms in 351*q**3 + 953*q**3 + 1029*q**3 - 2322*q**3.
11*q**3
Collect the terms in -21998*j + 44516*j - 22507*j.
11*j
Collect the terms in -3*n + 3578*n**3 - 95 + 3805*n**3 + 3*n - 10954*n**3 + 3573*n**3.
2*n**3 - 95
Collect the terms in 13*h + 63 - 63 + 233*h**2.
233*h**2 + 13*h
Collect the terms in 15 - 398*l - 719*l + 49 - 188*l.
-1305*l + 64
Collect the terms in -21*p - 18828*p**2 + 21*p + 5204 + 18828*p**2 - p**3 + 184.
-p**3 + 5388
Collect the terms in 22 - 41*u**3 - 22 - 103648*u**2 + 103648*u**2.
-41*u**3
Collect the terms in -883*s**3 - 923*s**3 + 2849*s**3 - 874*s**3.
169*s**3
Collect the terms in 2 + 515*s + | {
"pile_set_name": "DM Mathematics"
} |
4*l = -52 + 61, -3*l - 4 = -g. Which is the closest to g? (a) -1 (b) 4 (c) -23.8
a
Let u = -0.271 - -1.271. Let k = -97/3 - -32. What is the nearest to k in u, 3, 0?
0
Let t = -6473.994 + 6474. Which is the closest to 4? (a) t (b) 0.4 (c) -3
b
Let w = -5782 - -5784. Which is the nearest to w? (a) -1/6 (b) -6/5 (c) -2 (d) -11
a
Let t be (-28 - -41) + (-23 - -1). What is the closest to -1/2 in -1, 9, t?
-1
Let z = 132 - 2. Suppose 4*u - z = -22*u. Which is the closest to 0.2? (a) u (b) 0.1 (c) -1.5
b
Let j = -28.54 + 29.54. What is the closest to -1.81 in j, 5, 0.5?
0.5
Let k be 48/28 + -2 + 159/42. Let a be -3 + 4 + 10/(-20). What is the closest to k in -1/2, 4, a?
4
Let q = 0.462 - -2.048. Let p = q + 0.49. What is the closest to 2 in -3/7, 7, p?
p
Let t be (-6)/11 - (19 + (-19162)/968). Which is the closest to t? (a) -1/2 (b) -2/7 (c) 0 (d) -0.1
c
Let q be (6156/60)/((-12)/40). Let z = 333 + q. What is the nearest to -1/4 in z, 3, -0.5?
-0.5
Let x = 46703 - 46702.9. Which is the nearest to 0.2? (a) x (b) -2 (c) -4 (d) 832
a
Let t = 75.975 - -0.025. Let n = 38 - t. Let x = n + 37.8. Which is the closest to 0? (a) x (b) 1/2 (c) 0.4
a
Let f = -2 - -1.5. Let h = -559 - -559. Suppose -3798*o = -3805*o - 14. Which is the closest to h? (a) 3 (b) f (c) o
b
Let s = -0.33 + 0.03. Let i = -3.283 - -3.383. Which is the closest to i? (a) -6 (b) -2/11 (c) s
b
Let m(o) = 20*o - 70. Let i be m(4). Suppose 0 = -5*d + 5, 2*d - i + 0 = -4*l. Let w = 338/7 + -48. What is the nearest to w in l, -2/3, 0.3?
0.3
Let y = 0.17 + 75.83. Let o = -15.1 + 90.1. Let l = y - o. Which is the closest to 2? (a) -0.1 (b) l (c) -5
b
Let g = 0.6187 - -3.3813. What is the nearest to -8 in 13, g, 0?
0
Let l be -14*(-5 - (-91)/49 - -4). What is the nearest to -0.1 in l, -1/5, -4/3?
-1/5
Let c = -0.03 - 0.37. Let i(x) = 98*x - 93 + x**2 - 148*x + x**3 + 20*x**2. Let y be i(-23). What is the nearest to y in 4, 1/4, c?
c
Let y = 5772 + -5771.8. What is the closest to -0.1 in 1, y, 0.02, 0?
0
Let a be (0/2 - -1)/((-35)/(-14)). Let d = 0.051 + -0.141. Let r = d + -0.91. What is the closest to -0.1 in r, 0, a?
0
Suppose -5*m = 4*z - 36, 5*m - 5 = z + 36. What is the nearest to -2/7 in z, 2/23, 257?
2/23
Let s = -234 + 556. Let h = s + -1613/5. Which is the closest to h? (a) 2/9 (b) -0.5 (c) -2/5
b
Let m = -256.058 + 256. What is the closest to 8 in -5, -2, m?
m
Let q = -10.2 + 335.2. Let m = 324.92 - q. What is the nearest to -3/4 in 2/15, 2/11, -0.5, m?
-0.5
Let p = -12408.2 + 12408. What is the nearest to 20/3 in -1, p, -2/17, -1/13?
-1/13
Let j(i) = 13*i**2 + 2238*i + 343. Let m be j(-172). Let x = 32.929 - -0.071. What is the nearest to m in 5, x, -3?
-3
Let d = -1283/6 + 214. Let x = -1 - -1.05. Let y = 19/14 + -3/28. Which is the nearest to 2? (a) y (b) d (c) x
a
Let j = 0.05984 + 5.94016. Suppose 4*v = 18 - 6. Let i = v + -6. What is the nearest to 0 in i, j, 6/7?
6/7
Let o = -182 - -177. Suppose 16 = -3*z + 7. Which is the nearest to 0? (a) o (b) 0.5 (c) z
b
Let v(z) = 2*z**2 - 4*z + 1. Let d be v(7). Let k = d + -137. Let s = k - -131/2. What is the closest to 1 in s, -1, -2/11?
-2/11
Let l be 5/10*(-50)/125. Let h be (-2)/16*(-2)/(-1). What is the closest to h in l, 2/3, -2/13?
l
Let r = -6 + 7. Let q = -5.204 + -2.796. What is the nearest to 0.6 in r, -0.5, q?
r
Let w = -250 + 250.85. Let m = 62 + -59.15. Let a = w - m. What is the closest to 0.6 in 5, -3, a?
a
Let s(v) = -v**3 - 10*v**2 + 5*v - 67. Let h be s(-11). Let z be (-9)/54*(-6 + 8). What is the nearest to z in -3, -3/4, h?
-3/4
Let k = 78 + -41. Let t = k - 36.48. Let f = -3.48 - t. Which is the closest to 1? (a) f (b) 3 (c) 2/9
c
Let s = 24691/55413 - 7/6157. Let q = 19 - 14. What is the nearest to q in 4, s, -0.4?
4
Let j = 547/45 + -104/9. Let o = -136 - -136.004. Let f = o + 0.396. Which is the nearest to -2? (a) 0.2 (b) f (c) j
a
Let q(k) = -2*k + 51. Let f be q(20). Suppose 6*h = f*h + 430. Let m = 87 + h. What is the closest to m in -5, 4, 0.3?
0.3
Let f = -58 - -53. Let t be (18/24)/((-2 + 5)/48). Let s be (((-8)/t)/(12/8))/(-1). Which is the closest to -3/4? (a) s (b) 0 (c) f
b
Let v be (-11)/(-4) + (-1)/(-4). Suppose 6*n = n + 10, -v = -3*q - 3*n. Let g = 5/3 + q. Which is the closest to g? (a) 1/8 (b) -4 (c) -0.5
a
Let k = 1.1 - 0.1. Let w = -453 - -232. Let y = -224 - w. Which is the closest to y? (a) k (b) -1/8 (c) 1/5
b
Let a = -3457/7903 - -10/1129. Let c = -4 - -5. What is the closest to 0.1 in c, 30/7, a?
a
Let t = 151.1 - 151.1. What is the closest to -0.1 in -1/2, t, 55.1?
t
Suppose -3*f + r - 51 = 0, 2*f + 0*f + r + 39 = 0. Let v = -1511.2 + 1512.2. Which is the nearest to v? (a) -1 (b) -3 (c) f
a
Let g = 15 + -18. Let r = -14 + g. Let o = r - -17. Which is the nearest to 1/3? (a) 5/4 (b) o (c) -1/14
b
Let z be -15 - 858/(-52) - (-8)/(-6). Let p = -81 - -245/3. Which is the closest to -12? (a) p (b) 3 (c) z (d) 1/2
c
Let z = -5 + 7. Let x = -416 + 416.2. Let j = -202/5 - -41. What is the closest to z in j, 0.4, x?
j
Suppose 14*w - 4 = -s - 3*s, 0 = -2*s + 4*w + 2. Let k be (-3 - (-112)/36)*(-6)/(-2). What is the closest to s in -1/2, k, -7/4?
k
Let n be 2/(-1*(-6)/15). Suppose -8 = -105*q + 97*q. What is the closest to 1 in n, q, 3?
q
Let u = -12 + 12.1. Let g be (-280)/(-10675)*15/12. What is the closest to g in 3, -1/6, u?
u
Let k = 0.06423 - 1.06423. Which is the nearest to 2/3? (a) 0.3 (b) -0.3 (c) k (d) -21
a
Suppose 3*h + 9 = 0, 0 = -2*w + 5*w + 3*h - 3. Let g be (8/(-6))/(w*(-4)/72). Let l be (15/g - 2)/1. Which is the nearest to l? (a) 0 (b) 0.5 (c) -1
b
Let v(p) = p**3 + 18*p**2 - 19*p + 4. Let w be v(-19). Let x(k) = 2*k**2 - 31*k + 31. Let g be x(1). Let b = 2 + 0. What is the closest to b in g, w, -0.5?
g
Let a be (4/1)/(-24)*-2. Let b = -43.4 + 55. Let c = -10.6 + b. What is the closest to -2 in c, -0.1, a?
-0.1
Let x = 5.8 - 9.8. Let h = -0.02 - -0.05. Let v = h - 3.03. What is the closest to 0.1 in x, -2/15, v?
-2/15
Let h = 2 + -1. Let u(y) = 23*y**3 + 184*y**2 - 8*y - 60. Let t be u(-8). What is the nearest to 8 in -3/7, -1/2, h, t?
t
Let p = 0.7943 - 0.5943. Which is the nearest to -4? (a) -11 (b) -2/11 (c) p (d) 4
b
Let s = -105 + 70. Let o = 36 + s. Let x = 1 + -1. Which is the closest to 0.09? (a) o (b) x (c) -3
b
Let d = 0.03 + -2.03. Let v = 2 - 3. Let t = -94.59 + 94.29. What is the nearest to 2/15 in t, v, d?
t
Suppose -2*h = 3*h - 25. Let g be (22/231 + 348/315)/(16/(-10)). Which is the nearest to 1? (a) 15 (b) h (c) g
c
Let h(d) = d**2 - 11*d - 32. Let u = 113 - 100. Let j be h(u). Which is the closest to j? (a) -5 (b) 2/5 (c) -0.2
a
Let p be 5/(-24)*-8*3. Which is the nearest to 0? (a) 2 (b) -0.09 (c) 0.4 (d) p
b
Let o = 1196.2 + -1196. Which is the closest to 0.4? (a) 0.3 (b) 2 (c) 15 (d) o
a
Let g = 29732 - 29731. Let l = -1.5 - 0.7. Let k = l - -2. What is the nearest to k in g, 2/11, 4?
2/11
Let j = 1256.04 - 1308. Let h = -52 - j. Let w = h + -5.96. What is the closest to 1/2 in -0.4, w, 2/5?
2/5
Let k = 17.21 + -21.21. Which is the closest to 3/4? (a) -3 (b) k (c) -0.4 (d) -1/2
c
Let z = -548/1281 - 1/1281. Which is the nearest to -1? (a) -4 (b) z (c) -1.17
c
Let j be (57/(-60) - -1) + (-138)/(-690). Let r be 1 - (-7)/(-3) - -1. Which is the nearest to -3/8? (a) j (b) 5 (c) r
c
Let f = 14.557 - 18.557. What is the nearest to f in -0.2, 5, 5/3, 1.6?
-0.2
Let w be (-26)/(-3) - ((-1450)/(-87) - 13). What is the nearest to -4/421 in w, -4, 4?
-4
Let t(l) = 2*l**3 - 55*l**2 - 24*l - 113. Let j be t(28). What is the closest to -0.2 in 0.2, 4/3, j, -9?
0.2
Let q = -4781 + 14344/3. Which is the closest to 0? (a) 0.2 (b) 1/4 (c) 3/5 (d) q
a
Let j be ((-1)/(-8))/(24/(3 - 243)). Which is the closest to -3.2? (a) j (b) 1 (c) -4
c
Let n = -54 - -32. Let m = n - -22. Let o = -0.07 + -0.93. Which is the closest to o? (a) -0.5 (b) m (c) -1
c
Suppose -2*w = -3*o - 69, 0 = -o - 3*w - 0*w - 34. Let r be 20/(2*(-24)/60). Let y = r - o. Which is the nearest to y? (a) 1 (b) -0.2 (c) 0.3
b
Let r be (-7)/90 + (-30)/135 + 19/114. Which is the nearest to 2? (a) r (b) 1/7 (c) -6/17
b
Let k be 2/5 + (-2 + (-84)/60 - -7). What is the nearest to k in 1/2, -1/3, -3, -0.5? | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 r and 1 c when two letters picked without replacement from rrchrhhr.
1/7
What is prob of picking 2 f when two letters picked without replacement from {g: 5, i: 2, v: 3, f: 2, x: 6}?
1/153
Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, o: 13}.
1/560
Calculate prob of picking 1 j and 1 p when two letters picked without replacement from ppjjppppjqjppjqjp.
27/68
Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, j: 3, f: 2, d: 4}.
1/55
Calculate prob of picking 2 i when two letters picked without replacement from {l: 2, f: 2, s: 3, i: 3, v: 3}.
1/26
Three letters picked without replacement from ynnnyyyyyyy. What is prob of picking 2 y and 1 n?
28/55
Calculate prob of picking 4 n when four letters picked without replacement from {v: 9, n: 5}.
5/1001
Three letters picked without replacement from rrlbzlrrwzlrbzrl. Give prob of picking 1 z, 1 l, and 1 w.
3/140
Three letters picked without replacement from {w: 3, q: 2, y: 3}. Give prob of picking 2 y and 1 w.
9/56
Four letters picked without replacement from jjqjqppqqqj. What is prob of picking 1 j, 1 p, and 2 q?
8/33
Two letters picked without replacement from {f: 1, l: 3}. Give prob of picking 1 f and 1 l.
1/2
What is prob of picking 1 q and 2 k when three letters picked without replacement from kwqqk?
1/5
Calculate prob of picking 1 u, 1 v, and 1 y when three letters picked without replacement from yuvuuuyvyyuy.
5/22
Two letters picked without replacement from {u: 4, s: 1, p: 2, d: 1, w: 1}. What is prob of picking 1 p and 1 d?
1/18
Calculate prob of picking 3 g and 1 z when four letters picked without replacement from zgzz.
0
Calculate prob of picking 3 f when three letters picked without replacement from ffffff.
1
Two letters picked without replacement from {h: 1, g: 1, d: 2, n: 1}. What is prob of picking 1 d and 1 g?
1/5
Two letters picked without replacement from {h: 1, i: 1, l: 12, m: 3, x: 2}. What is prob of picking 1 m and 1 x?
2/57
Three letters picked without replacement from owitiwoirorowwsiooo. What is prob of picking 1 i and 2 r?
4/969
Calculate prob of picking 1 f and 1 z when two letters picked without replacement from zdgflgq.
1/21
Two letters picked without replacement from {k: 1, c: 1, x: 4, m: 2, p: 3}. What is prob of picking 1 k and 1 c?
1/55
Calculate prob of picking 1 o and 1 s when two letters picked without replacement from tscosbl.
2/21
Two letters picked without replacement from gccgcmnngr. What is prob of picking 2 c?
1/15
What is prob of picking 3 v and 1 z when four letters picked without replacement from {v: 7, z: 5}?
35/99
What is prob of picking 2 e and 1 s when three letters picked without replacement from eessssseeeeee?
70/143
What is prob of picking 2 f and 1 o when three letters picked without replacement from {f: 2, m: 3, o: 4}?
1/21
Calculate prob of picking 2 t when two letters picked without replacement from {c: 3, t: 5}.
5/14
Calculate prob of picking 1 a, 1 s, and 1 w when three letters picked without replacement from {w: 3, z: 1, s: 4, a: 2, e: 1, i: 1}.
6/55
What is prob of picking 4 q when four letters picked without replacement from {q: 4, v: 10}?
1/1001
Two letters picked without replacement from {b: 1, h: 4, c: 8, f: 2, w: 1}. What is prob of picking 1 b and 1 f?
1/60
Calculate prob of picking 2 o, 1 k, and 1 z when four letters picked without replacement from {z: 1, k: 3, o: 3}.
9/35
Four letters picked without replacement from {e: 7, u: 9}. Give prob of picking 1 u and 3 e.
9/52
Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {w: 1, v: 1, e: 4, n: 2}.
1/28
Three letters picked without replacement from rnrnnrrnrnnnr. Give prob of picking 3 r.
10/143
Calculate prob of picking 4 l when four letters picked without replacement from {f: 2, l: 4}.
1/15
Two letters picked without replacement from lsgssssslsssssl. Give prob of picking 2 s.
11/21
Two letters picked without replacement from {w: 1, p: 1, m: 2, q: 1}. What is prob of picking 1 m and 1 q?
1/5
Three letters picked without replacement from sxmxxxdmhxxfxdhdhf. Give prob of picking 2 h and 1 f.
1/136
Two letters picked without replacement from hmvvhvvvvvvvvuhm. What is prob of picking 2 m?
1/120
Four letters picked without replacement from {e: 5, l: 3, o: 2}. Give prob of picking 1 e, 1 l, and 2 o.
1/14
Three letters picked without replacement from qqtjjtjjtjttttj. What is prob of picking 1 q, 1 t, and 1 j?
12/65
What is prob of picking 4 d when four letters picked without replacement from gdgdgdgggddd?
1/33
What is prob of picking 3 a when three letters picked without replacement from {a: 5, y: 5}?
1/12
Three letters picked without replacement from {q: 2, j: 4, r: 3, p: 4, s: 1, f: 3}. What is prob of picking 1 s and 2 j?
3/340
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from zdvbh.
1/10
Calculate prob of picking 2 s and 2 n when four letters picked without replacement from {n: 3, s: 3}.
3/5
Three letters picked without replacement from {t: 5, r: 8}. Give prob of picking 2 t and 1 r.
40/143
Four letters picked without replacement from ccftc. What is prob of picking 1 t, 2 c, and 1 f?
3/5
Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {m: 6, h: 2, l: 4}.
3/11
Four letters picked without replacement from cvvcvmvcccmmmmvcvvcc. What is prob of picking 1 m and 3 v?
35/969
What is prob of picking 2 x when two letters picked without replacement from {p: 11, h: 6, x: 2}?
1/171
Two letters picked without replacement from vgggvvvdgddv. What is prob of picking 1 g and 1 v?
10/33
Three letters picked without replacement from haahaahwhhhahha. What is prob of picking 3 h?
8/65
Calculate prob of picking 4 e when four letters picked without replacement from {d: 1, g: 1, e: 2, k: 1, m: 6, v: 5}.
0
Two letters picked without replacement from zurrntk. What is prob of picking 1 z and 1 n?
1/21
What is prob of picking 3 u when three letters picked without replacement from {m: 11, u: 9}?
7/95
Two letters picked without replacement from ssnsvrrssrssrrrrwsrs. Give prob of picking 2 s.
18/95
Two letters picked without replacement from {d: 3, i: 1, w: 5, s: 4}. What is prob of picking 2 w?
5/39
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from frfcfrfcffrcfrcffrf.
40/171
Three letters picked without replacement from {j: 2, r: 11}. What is prob of picking 2 r and 1 j?
5/13
Two letters picked without replacement from {c: 2, m: 3, q: 2, o: 1, t: 2, r: 2}. Give prob of picking 2 t.
1/66
Calculate prob of picking 2 n when two letters picked without replacement from hninncnncnnnccnc.
3/10
Calculate prob of picking 3 j when three letters picked without replacement from jhqjqqhqjqqqqj.
1/91
Calculate prob of picking 1 x and 2 z when three letters picked without replacement from {r: 1, b: 6, x: 1, f: 4, z: 1}.
0
Two letters picked without replacement from {u: 7, x: 6}. What is prob of picking 2 x?
5/26
Two letters picked without replacement from hhjrhhhjhhkrkrhrhkh. Give prob of picking 1 r and 1 h.
40/171
Calculate prob of picking 1 l, 1 c, and 1 d when three letters picked without replacement from {v: 1, d: 1, c: 3, a: 2, l: 3}.
3/40
Four letters picked without replacement from zzzzzgzzgzzgzzzggzz. Give prob of picking 1 g and 3 z.
455/969
Calculate prob of picking 2 j and 1 i when three letters picked without replacement from iqijjq.
1/10
What is prob of picking 2 l when two letters picked without replacement from laaeeee?
0
Four letters picked without replacement from {g: 5, l: 1, w: 1, s: 7, u: 5}. What is prob of picking 3 u and 1 w?
5/1938
Two letters picked without replacement from {s: 3, d: 3}. What is prob of picking 1 s and 1 d?
3/5
Calculate prob of picking 2 t when two letters picked without replacement from tbbbbbbbbtbbbtb.
1/35
Two letters picked without replacement from {s: 1, h: 2, m: 3, j: 1, q: 5, d: 1}. Give prob of picking 1 d and 1 m.
1/26
Four letters picked without replacement from qigscvi. What is prob of picking 2 i, 1 q, and 1 g?
1/35
Three letters picked without replacement from {y: 2, j: 5, w: 2}. Give prob of picking 2 j and 1 y.
5/21
Calculate prob of | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in -3375*q**2 + 965*q**2 + 590*q**2.
-1820*q**2
Collect the terms in 1 - 63*b - 63*b - 71*b + 234*b - 42*b.
-5*b + 1
Collect the terms in -51*g - 22*g + 6 + 98*g + 84*g**3.
84*g**3 + 25*g + 6
Collect the terms in -503*x + 83*x - 358*x.
-778*x
Collect the terms in -675655*x + 675654*x + 8839 - 8798.
-x + 41
Collect the terms in -24*v**3 + 84*v**3 - 27*v**3 + 276 - 32*v**3 - 77.
v**3 + 199
Collect the terms in 30*h**2 - 173*h**2 + 772161 - 772161.
-143*h**2
Collect the terms in -29*g - 10*g**3 + 16 - 123 + 29*g - 114 + 221.
-10*g**3
Collect the terms in 13*l**3 - 3*l**3 - 7*l**3 + 59 + 10*l**3 + 34.
13*l**3 + 93
Collect the terms in -1744 + 6*w - 2*w + 3978*w**3 - 4*w - 3980*w**3.
-2*w**3 - 1744
Collect the terms in -934 + 95852*a + 934.
95852*a
Collect the terms in -75528*r**2 + 37511*r**2 + 38040*r**2.
23*r**2
Collect the terms in 644296*l**2 + 581 - 580 - 210429*l**2.
433867*l**2 + 1
Collect the terms in -4*o**2 + 203 + 4*o**2 - 187*o**3 - 108*o**3 - 103*o**3 + 402*o**3.
4*o**3 + 203
Collect the terms in 0*r**2 - 61082*r - 32*r**3 - 3 + 61148*r + 2*r**2.
-32*r**3 + 2*r**2 + 66*r - 3
Collect the terms in 68*g - 19*g**2 - 21*g**2 + 81*g**3 + 44*g**2 + 80*g**3.
161*g**3 + 4*g**2 + 68*g
Collect the terms in 51771*i**2 - 12934*i**2 - 12986*i**2 - 12924*i**2 - i**3 - 12927*i**2 + 0*i**3.
-i**3
Collect the terms in 0*c**2 + 275*c**2 - 281*c**2 + 123*c**2.
117*c**2
Collect the terms in -7599 + 8788049*f - 8788043*f + 7599.
6*f
Collect the terms in 34 - 72346*j + 72357*j - 34.
11*j
Collect the terms in 18475*g**3 - 75*g**2 + 18445*g**3 + 3*g - 3*g + 75*g**2 - 36903*g**3.
17*g**3
Collect the terms in 1188585*b - 594296*b - 594298*b.
-9*b
Collect the terms in 1101*q + 646*q + 2522*q**2 - 2524*q**2.
-2*q**2 + 1747*q
Collect the terms in -42589*p + 21536*p - 12*p**2 - 2*p**2 + 21053*p + 4*p**2.
-10*p**2
Collect the terms in 65 - 79 - 37*l - 53*l + 21*l - 65*l + 8*l.
-126*l - 14
Collect the terms in 7954*i**3 + 512*i**2 + 1295*i**2 + 2 + 774*i**2 - 394*i**2 - 7955*i**3.
-i**3 + 2187*i**2 + 2
Collect the terms in -685028 - 3*y + 2054931 + 3*y - 2*y**2 - 684871 - 685032.
-2*y**2
Collect the terms in 40*w - 53 - w - 75*w + 39*w - 47 + 96.
3*w - 4
Collect the terms in 3723825*g - 28075128*g - 50542763*g - 2.
-74894066*g - 2
Collect the terms in -1076372*c + 538182*c - 5818*c**2 + 538190*c.
-5818*c**2
Collect the terms in -163 - 2 - 1649178*b + 1649162*b.
-16*b - 165
Collect the terms in -472*h - 6809*h - 2450*h - 11*h.
-9742*h
Collect the terms in -2*i - 140*i - 875*i.
-1017*i
Collect the terms in 18463*h**2 - 55403*h**2 + 18475*h**2 + 18465*h**2 + 9*h**3.
9*h**3
Collect the terms in -5455 - 12*j**2 + 1823 + 1828 + 1804.
-12*j**2
Collect the terms in 68755143 - 15*o + 68755184 - 137510327.
-15*o
Collect the terms in -2*b**2 - 583 - 552 + 2231 - 546 - 550 + 0*b**2.
-2*b**2
Collect the terms in -2*s - 3*s + 3*s**3 + 409 - 121 + 590 + 4*s.
3*s**3 - s + 878
Collect the terms in -406*s**2 + 1 - 38*s**2 - 34*s**3 - 1192*s**2 + 23*s**3.
-11*s**3 - 1636*s**2 + 1
Collect the terms in 17861*i**2 - 12*i**3 + 0 - 35438*i**2 + 0 + 45*i**3 + 17577*i**2.
33*i**3
Collect the terms in 7161 - 100298 - 116*q + 120*q.
4*q - 93137
Collect the terms in 3977 - 76*u**2 - 11916 + 3969 + 73*u**2 + 3970 + 2*u**3.
2*u**3 - 3*u**2
Collect the terms in -2738965*b + 684739*b + 684739*b + 684739*b + 684737*b.
-11*b
Collect the terms in -33648*h**2 - 72 + 259 + 33645*h**2.
-3*h**2 + 187
Collect the terms in -69*i + 10*i**2 - 18*i**2 - 26*i - 19*i**2 - 23*i.
-27*i**2 - 118*i
Collect the terms in 10*x - 7*x - 7302*x**2 - 3*x - x**3 - x**3.
-2*x**3 - 7302*x**2
Collect the terms in 15262*l + 401284 - 401284 + l**2.
l**2 + 15262*l
Collect the terms in 541518*t**2 + 74012*t**2 + 4988923*t**2 + 674211*t**2.
6278664*t**2
Collect the terms in -675*j + 3*j**2 - 95 + 95.
3*j**2 - 675*j
Collect the terms in -1970*o**2 + 602*o**2 + 592*o**2 + 580*o - 580*o + 652*o**2.
-124*o**2
Collect the terms in 0*m + 6774257880 - 6774257851 - m.
-m + 29
Collect the terms in 14096 - 6*r**2 + 13659 - 27755.
-6*r**2
Collect the terms in -224 + 23*g**3 - 373 + 347.
23*g**3 - 250
Collect the terms in 1 + 2 + 34*x**2 + 17*x**2 + 0 + 6 - 11 - 8*x.
51*x**2 - 8*x - 2
Collect the terms in 143*k + 1275*k + 234*k.
1652*k
Collect the terms in -72*k**2 - 233*k + 1 + 1088*k + 83*k**2.
11*k**2 + 855*k + 1
Collect the terms in 36*o**3 + 2327613*o**2 - 1163798*o**2 - 1163815*o**2.
36*o**3
Collect the terms in 0*r**3 - 1650*r**2 + 2*r - 6*r**2 - r**3 - 7*r**3.
-8*r**3 - 1656*r**2 + 2*r
Collect the terms in -1437*g**2 + 345*g**2 + 400*g**2 + 362*g**2 + 307*g**2.
-23*g**2
Collect the terms in -244*c**3 - 12078*c**2 + 12078*c**2 + 73*c**3 - 67.
-171*c**3 - 67
Collect the terms in -5*u + 3*u + 4*u - 3*u**2 - 2313.
-3*u**2 + 2*u - 2313
Collect the terms in 248000691 + 248000693 - 496001384 - 90*u.
-90*u
Collect the terms in -10549031 + r + 10549031 - 4061*r**2 + 0*r.
-4061*r**2 + r
Collect the terms in -3221 - 3209 - 3215 - 3210 + 5*d + 12855.
5*d
Collect the terms in 65 - 703*n - 35 - 35.
-703*n - 5
Collect the terms in -168*b**3 + 534*b + 1 - 4 + 330*b**3 - 163*b**3.
-b**3 + 534*b - 3
Collect the terms in 14*k + 8*k - 18*k**3 - 5303 + 2641 + 2662.
-18*k**3 + 22*k
Collect the terms in u - 39 + 39 + 53076217*u**2 - 53076222*u**2.
-5*u**2 + u
Collect the terms in -141*b**2 + 4627 + 47*b**2 - 2792 - 1835.
-94*b**2
Collect the terms in 345 - 122 - 109 + 80*j - 116 + 69*j.
149*j - 2
Collect the terms in -23 + 114809*i**3 + 0*i**2 + 114816*i**3 - 229636*i**3 + 0*i**2.
-11*i**3 - 23
Collect the terms in 96*x**3 + 91*x**3 - 484 - 15*x - 185*x**3 - 3048.
2*x**3 - 15*x - 3532
Collect the terms in 2 + 31*a**2 - 47*a**2 - 2 + 168*a**2 - 144*a**2.
8*a**2
Collect the terms in -371700*t**2 - 372181*t**2 + 743886*t**2.
5*t**2
Collect the terms in -760758*b + 4 - 6 + 760766*b.
8*b - 2
Collect the terms in 175047*k**2 - 80905*k**2 - 94141*k**2.
k**2
Collect the terms in -6173*l + 78*l**2 - 91*l**2 - 208*l**2 - 136*l**2 + 6175*l.
-357*l**2 + 2*l
Collect the terms in -135743 + 135737 + 330*y + 102*y.
432*y - 6
Collect the terms in 873*z**2 - 1264*z**2 + 2513*z**2 + 2375*z**2.
4497*z**2
Collect the terms in -4890*r**2 - 4922*r**2 + 24*r**3 + 9808*r**2.
24*r**3 - 4*r**2
Collect the terms in 3*r + 4310246*r**2 - 3*r + 0*r.
4310246*r**2
Collect the terms in 159*w + 75*w + 87*w + 13939*w**3 - 321*w.
13939*w**3
Collect the terms in -87232 - 87233 - f**3 + f**3 + f**3 - 87228 + 261693.
f**3
Collect the terms in 2155949 + 3*v**2 - 3*v - 2155980 + 3*v.
3*v**2 - 31
Collect the terms in 84*l**3 + 188 - 45*l**3 - 4 - 10*l.
39*l**3 - 10*l + 184
Collect the terms in 9*b - 4*b - 230*b**2 - 63*b**2 - b + 11*b - 9*b - b**3.
-b**3 - 293*b**2 + 6*b
Collect the terms in 34330*t + 34329*t + 34319*t - 137307*t + 34328*t.
-t
Collect the terms in 13178*d**2 + 1796*d - 2762*d**2 - 1794*d + 16445*d**2.
26861*d**2 + 2*d
Collect the terms in -135 - 146 + 285 + 7*c**2 + c**3.
c**3 + 7*c**2 + 4
Collect the terms in 168*c - 57*c - 53*c - 58*c + 69351*c**2.
69351*c**2
Collect the terms in 12 - 12 + 578*d**3 + 658825788*d**2 - 574*d**3 - 658825788*d**2.
4*d**3
Collect the terms in 29*o - 34*o - 78247 + 78307.
-5*o + 60
Collect the terms in -1589*i + 857*i + 832*i + 26 - 56 + 30.
100*i
Collect the terms in -541*l**2 - 75*l**2 + l - 650*l**2 + 0*l.
-1266*l**2 + l
Collect the terms in 316077*s - 632134*s - 1 - 56*s**3 + 316057*s.
-56*s**3 - 1
Collect the terms in -3194*r**2 + 5022*r**2 - 1830*r**2 - 11 + 11.
-2*r**2
Collect the terms in -146*l**2 + 728*l**2 - 118*l**2 - 157*l**2 - 147*l**2 - 162*l**2.
-2*l**2
Collect the terms in -4*f + 578*f**2 + 2727 + 4*f - 5453 + 2722.
578*f**2 - 4
Collect the terms in -355 + 185 + 170 - 2716*m**2.
-2716*m**2
Collect the terms in 419*f + 419*f + 413*f + 374*f - 2446*f + 403*f + 420*f.
2*f
Collect the terms in -2 + 89 + 102 + 134 - 133 - 3*y + 10*y.
7*y + 190
Collect the terms in -11*z**2 + 7*z**2 - 27 + 4*z**2 - 1482*z**3.
-1482*z**3 - 27
Collect the terms in 6 - 6235931*i - 11 + 5.
-6235931*i
Collect the terms in 7*d - 40*d - 5*d - 2 + 48*d - 83*d.
-73*d - 2
Collect the terms in -46019*k**3 + 23012*k**3 + 23013*k**3 + 636*k**2.
6*k**3 + 636*k**2
Collect the terms in -272 - 2409*u - 431 + 880*u.
-1529*u - 703
Collect the terms in 1600*s* | {
"pile_set_name": "DM Mathematics"
} |
.
736
Suppose -2*n + 507 = -5*x - 1893, 16 = 4*x. Calculate the common denominator of n/(-198) + 2/(-6) and 13/12.
36
Suppose 0 = 2*o, -5*o - 8 + 6 = -g. Calculate the lowest common multiple of 9 and g.
18
Let h be (-10917562)/(-3795484) + (-4)/14. Let p = h - -2/12323. Find the common denominator of p and 3/22.
22
Find the common denominator of -173/42 and ((-3)/(-48))/((-1160)/544 + 2).
252
Suppose -3105 = -32*q + 5*q. What is the least common multiple of 3 and q?
345
Let z = -16829/8 + 2098. Let h = 631/24 - 17/8. Find the common denominator of h and z.
24
Let f be (-1841613)/(-4004)*4/318. Let x = f + 2/7579. What is the common denominator of -67/6 and x?
42
Let z(h) = -2*h**3 - 6*h**2 + h + 10. Let w be z(-5). Calculate the lowest common multiple of 8 and ((-24)/30)/((-6)/w).
56
Let x(g) = -6*g**2 - 3*g - 9. Let b be x(5). Find the common denominator of 5/22 and (b/(-45))/(((-128)/36)/4).
220
Let a(g) be the first derivative of 5*g**3/3 - 7*g**2/2 + 4*g + 5. What is the least common multiple of 6/24 - (141/(-12) - -4) and a(4)?
56
Let n = 19 + -27. Let w(p) = p**3 + 8*p**2 - 2*p - 7. Calculate the smallest common multiple of w(n) and 5.
45
Let c = -1310/171 - -224689/30096. Calculate the common denominator of c and 59/10.
2640
Suppose -d - 4*v = -20, -4*d + 3*v + 4 + 0 = 0. Let m(p) = 21*p + 1. Calculate the smallest common multiple of ((d - 1) + 1)*1 and m(1).
44
Let m be 4*(-4)/(-32)*-6. Let i(o) = -3*o + 1. Let l = -4 + 6. What is the smallest common multiple of l and i(m)?
10
Let q = -498 + 512. What is the least common multiple of q and 112?
112
Calculate the common denominator of 23/48 and ((-9282)/(-648))/(-17)*-3.
144
Let s be ((-7483858)/(-3))/((-8)/(-6)). Let q = s - 4610047691/2464. Let d = q - -1/224. Find the common denominator of -51/8 and d.
88
Let i(z) = -z**2 + 1. Let m be i(-4). Suppose 3*b + 4*a - 2*a + 62 = 0, 0 = 2*b - 3*a + 50. Calculate the common denominator of 33/8 and (48/10)/(b/m).
88
Suppose z - 111 = -2*n + 86, 0 = 5*z - 25. Calculate the smallest common multiple of n and 12.
96
Let g = 2/249437 - -26689315/55375014. Find the common denominator of g and 3/4.
444
Let l = -17 - -77. Suppose -c = 3 + 2, c + l = m. What is the least common multiple of m and 40?
440
Suppose 0 = -10*v + 668 + 632. Calculate the lowest common multiple of v and 91.
910
Suppose -42 = -v - n - 18, -2*v + 48 = n. Calculate the smallest common multiple of v and 228.
456
Suppose 4*o - 7*o = -4*i + 71, -46 = -4*i - 2*o. Calculate the least common multiple of i and 10.
70
Suppose 0 = k + 4*t + 20, 0 = -2*k - 2*t - 0*t - 46. What is the common denominator of (-143)/18 + (-8)/(-36) and (-32)/k*(-298)/(-48)?
18
Let j = -935/1008 + -103/63. What is the common denominator of j and -37/986?
7888
Suppose 3*g - 11 = -5*q + 4*g, q - 6 = 4*g. Suppose 0 = o + 5*i - 16, -32 = -2*o - q*o - 4*i. Calculate the least common multiple of (-2)/o - (-10)/3 and 7.
21
What is the least common multiple of (2*-2)/(((-3)/2)/3) and ((-3)/(-5))/(2/30)?
72
Find the common denominator of 6/54 - (-65)/36 and (-186)/(-16) - (8 - 6).
24
Let k(i) = -i**3 + 11*i**2 + 3*i + 35. Calculate the smallest common multiple of k(10) and 15.
165
Let y = -20123 - -3521452/175. What is the common denominator of y and 97/280?
1400
Let o = -2106 - -21007/10. What is the common denominator of -23/78 and o?
390
Let w be -3 - (-3)/(6/16). Suppose -4*c = -4*f + 10 + 6, w*f = -4*c - 7. What is the smallest common multiple of (-16)/(-2)*c/(-4) and 1?
6
Let x = 45/7 - 191/21. Let l = 7/6 - -4/3. What is the common denominator of l and x?
6
Suppose 5*g - 4 = -0*g - 3*l, -g + 4 = -l. Suppose 7*n = 50 + 195. What is the smallest common multiple of n and g?
70
Let q(c) = -c + 17. Calculate the lowest common multiple of 25 and q(-13).
150
Calculate the least common multiple of ((-17)/(-51))/((-2)/(-6)) - -199 and 140.
1400
Suppose 172 + 2734 = i. Let t = -8642/3 + i. Find the common denominator of -95/54 and t.
54
Suppose 13*j = 4*j - 360. Let h = j - -56. What is the lowest common multiple of h and 20?
80
Suppose 0*n - 25980 = -4*n. Suppose r - 4*r = n. Let s = 15196/7 + r. Find the common denominator of 43/6 and s.
42
Let z be -3 + (3952/(-5) - -1). Let a = -63027/80 - z. Let n = 45479/208 - 2892/13. Calculate the common denominator of n and a.
16
Let y = 8233196/768873 - -1538/2679. Let p = y + -117/41. Find the common denominator of p and -97/4.
28
Let i(f) = 7*f**2 + 2*f. Suppose 3*j - 195 = -159. What is the smallest common multiple of j and i(-2)?
24
What is the common denominator of 2*1 + 591/(-324) and -28*1*27/120?
540
Let c(s) = -2*s**2 - 4*s - 3. Let x be c(-3). Calculate the common denominator of 65/12 and (x/(-12))/(27/654).
12
Let q be ((-9614)/55)/(4/45). Let s = -2010 - q. Find the common denominator of s and -73/10.
10
Let a = -570 - -279. Let o = 37573529/22 + -1708181. Let i = a - o. Calculate the common denominator of i and -83/22.
22
Let d = -511 - -514. Suppose -v + 12 = w, -v + 11 - 2 = -2*w. What is the smallest common multiple of v and d?
33
Suppose -3*o + d + 1 + 23 = 0, -4*d + 23 = 5*o. Let y be 22/33 + o/3. Find the common denominator of -75/4 and y*231/144*-2.
8
Let y(w) = w**2 + 8*w + 7. Let m be y(-7). Calculate the common denominator of 40/3 and 4/16*(m - 47)*1.
12
Let z be 68780/(-11025) + -2 + 2. Let f = 4/245 + z. Let h = -348/17 - -33/34. Find the common denominator of h and f.
18
Let o be ((-99)/(-84))/((-27)/(-37)). Let a = o - 35/36. Let q = 40345/18 - 2240. Find the common denominator of a and q.
126
Let m be ((-28)/10)/((-3)/15). Suppose 4*y - 2*y - m = 0. Calculate the lowest common multiple of 11 and y.
77
Let f(r) = 7*r + 3. Let j be f(14). Let y = j + -47. What is the lowest common multiple of 8 and y?
216
Let c = 31221 + -31213. Let q(r) = r**2 - 2*r + 1. Calculate the smallest common multiple of q(-2) and c.
72
Let n be (-1 + 1318/4)*14. Let m = n + -18301/4. Find the common denominator of m and -29/8.
8
Let u = 2/449 - 2261/3592. Calculate the common denominator of u and (-4)/(-20)*1060/24.
24
Suppose -b + 10 = -0. Let n(r) = -r**3 - 13*r**2 - 12*r. Let d be n(-12). Suppose d*t = 4*t - 64. Calculate the lowest common multiple of b and t.
80
Let f(r) = r**2 - 7*r + 8. Let x be f(6). Calculate the common denominator of 49/x - 4/2 and (20/(-3) - -6)*(-111)/16.
8
Let z = 380599/560 - 4756/7. What is the common denominator of z and ((-5)/(-12))/(2/45)?
80
Let x be 0 - (0 + (4 - 2)). Let j be (-4 - (-3 + x)) + 714. What is the common denominator of -45/16 and (j/(-12))/5 - -1?
48
Let w = 1474 - 17717/12. Find the common denominator of w and 599/210 - 13/195.
84
Let g = 4 - -5. Calculate the lowest common multiple of g and 2 - 5 - (2 - (-12 - -22)).
45
Suppose -2*z + 2*g + 10 = 0, -15 = g + 2*g. Suppose z*v + v - w = 6, 2*w + 20 = 4*v. Suppose 2*q - 24 = -v. Calculate the smallest common multiple of q and 8.
40
Let z = -73005451/43961592 + -1576/17119. Let q = z - -19/428. Calculate the common denominator of -61/39 and q.
312
What is the lowest common multiple of (-302)/(-3775) - ((-223)/(-25))/(-1) and 812?
7308
Let y = 19/24 + 235/552. Calculate the common denominator of y and 21/8.
184
Let u = -110/9 + 239/9. Calculate the common denominator of u and -76/15.
15
Suppose -3708 = 5*w - 39538. Let d = -100397/14 + w. Calculate the common denominator of d and -59/20.
140
Calculate the smallest common multiple of -3*2*(11/(-2) + 1) and 144.
432
Let h(w) be the third derivative of -1/6*w**3 + 0*w + 3/20*w**5 + 3*w**2 + 0 + 0*w**4. Calculate the smallest common multiple of h(1) and 22.
88
Let z = 24413 + -976451/40. What is the common denominator of 17/46 and z?
920
Find the common denominator of (1/69)/((-2)/10) and 14/15.
345
Let z(w) = -5*w**2 + 37*w - 11. What is the lowest common multiple of 267 and z(7)?
267
Let y(o) = -11*o - 522. Calculate the lowest common multiple of 28 and y(-50).
28
Let w(g) = -9*g**3 + 3*g**2 + 2*g + 9. What is the least common multiple of w(-2) and 9?
801
Let g(h) = 693*h**2 + h + 6. Let y be g(-3). Let l = 15250517/6 + -2535538. Let k = y - l. Calculate the common denominator of -76/9 and k.
18
Suppose 5*w + 3*q + 17 = -q, 0 = -5*w - 5*q - 15. Let o(j) = 4*j + 3. Let k be o(-6). Find the common denominator of 107/22 and (w/k)/( | {
"pile_set_name": "DM Mathematics"
} |
ves of a second?
15500
How many decades are there in 0.399475 centuries?
3.99475
How many grams are there in 5/4 of a kilogram?
1250
What is 1/4 of a milligram in micrograms?
250
Convert 68431.56l to millilitres.
68431560
How many millilitres are there in eleven tenths of a litre?
1100
What is 11/4 of a day in hours?
66
Convert 1390.307m to kilometers.
1.390307
What is 3/5 of a centimeter in micrometers?
6000
Convert 343983.4ml to litres.
343.9834
How many milliseconds are there in 4/15 of a minute?
16000
What is 2790.957 millennia in centuries?
27909.57
How many grams are there in 12993.26mg?
12.99326
What is 16721.04mm in micrometers?
16721040
Convert 0.889043 centimeters to meters.
0.00889043
What is 1785.169 kilometers in centimeters?
178516900
What is sixty-nine halves of a millimeter in micrometers?
34500
How many grams are there in seven quarters of a kilogram?
1750
How many nanoseconds are there in thirty-four fifths of a microsecond?
6800
What is 42/5 of a meter in millimeters?
8400
How many months are there in 11/4 of a year?
33
Convert 60084.86 grams to kilograms.
60.08486
How many minutes are there in 8/15 of a week?
5376
How many millilitres are there in 15/4 of a litre?
3750
What is 59/4 of a century in months?
17700
How many microseconds are there in fourty-two fifths of a millisecond?
8400
What is 1/10 of a meter in centimeters?
10
What is 3/5 of a decade in years?
6
How many micrograms are there in 3/25 of a milligram?
120
Convert 22671.01 days to microseconds.
1958775264000000
How many millimeters are there in 2.119624 micrometers?
0.002119624
How many months are there in 43/3 of a century?
17200
How many centuries are there in 152644.92 months?
127.2041
How many years are there in 72.5099 millennia?
72509.9
What is 7129.931 minutes in microseconds?
427795860000
What is one twentieth of a litre in millilitres?
50
Convert 8.304303 days to microseconds.
717491779200
How many centuries are there in 86.99055 decades?
8.699055
What is 0.5953105 nanometers in micrometers?
0.0005953105
How many millennia are there in 1076.281 centuries?
107.6281
How many litres are there in 0.4015798 millilitres?
0.0004015798
What is fifteen quarters of a year in months?
45
What is 7184.855ug in nanograms?
7184855
Convert 89.7378ml to litres.
0.0897378
How many litres are there in 9.220905 millilitres?
0.009220905
What is 13/5 of a tonne in kilograms?
2600
How many millilitres are there in 1/4 of a litre?
250
How many meters are there in 0.9428222 kilometers?
942.8222
Convert 5.039502 decades to millennia.
0.05039502
How many nanoseconds are there in three eighths of a microsecond?
375
How many weeks are there in 16738.68 days?
2391.24
What is fourty-one halves of a gram in milligrams?
20500
How many kilograms are there in 18/5 of a tonne?
3600
How many kilograms are there in 48/5 of a tonne?
9600
What is 1/6 of a minute in seconds?
10
How many decades are there in sixty-one halves of a millennium?
3050
How many micrograms are there in 1/16 of a gram?
62500
How many millilitres are there in 0.8168237l?
816.8237
What is 82.51276 days in milliseconds?
7129102464
What is five quarters of a millimeter in micrometers?
1250
What is 21/5 of a meter in millimeters?
4200
What is 0.1917818 centuries in years?
19.17818
What is 21/4 of a tonne in kilograms?
5250
How many kilometers are there in 13.62044 centimeters?
0.0001362044
What is 165.3304 nanometers in kilometers?
0.0000000001653304
How many millennia are there in 2816.0424 months?
0.2346702
How many litres are there in 242340.2ml?
242.3402
What is 2.731173 millennia in decades?
273.1173
What is 27/2 of a day in minutes?
19440
What is 0.5246617km in centimeters?
52466.17
How many grams are there in fifty-nine fifths of a kilogram?
11800
What is eighty-two sevenths of a week in days?
82
What is 42738966.9us in weeks?
0.00007066628125
Convert 938111.4 meters to kilometers.
938.1114
How many months are there in 4/3 of a millennium?
16000
Convert 5.300394 months to centuries.
0.004416995
How many nanometers are there in 617960.3cm?
6179603000000
How many centuries are there in 6618.601 millennia?
66186.01
How many minutes are there in 272.44305 microseconds?
0.0000045407175
How many tonnes are there in 23531.49 grams?
0.02353149
Convert 895972.23us to hours.
0.000248881175
How many millilitres are there in thirty-one halves of a litre?
15500
Convert 34.25043 years to decades.
3.425043
What is 74/5 of a millennium in decades?
1480
What is 25762.06 hours in microseconds?
92743416000000
Convert 69.62021cm to nanometers.
696202100
What is one quarter of a litre in millilitres?
250
How many litres are there in 47016.04ml?
47.01604
Convert 872.6588 nanograms to micrograms.
0.8726588
What is five eighths of a decade in months?
75
How many millilitres are there in seventeen quarters of a litre?
4250
What is 10/3 of a millennium in months?
40000
How many millilitres are there in 3.338325l?
3338.325
Convert 57.2212 litres to millilitres.
57221.2
What is 45449.12 hours in microseconds?
163616832000000
How many days are there in seventeen sevenths of a week?
17
What is three tenths of a millennium in decades?
30
What is eleven eighths of a gram in milligrams?
1375
Convert 2881.963ml to litres.
2.881963
Convert 5623.4682 minutes to weeks.
0.55788375
What is 3.47055km in millimeters?
3470550
How many nanoseconds are there in 5.17995us?
5179.95
How many nanometers are there in 5/4 of a micrometer?
1250
How many millilitres are there in 21/8 of a litre?
2625
What is twenty-five quarters of a gram in milligrams?
6250
What is 1/10 of a litre in millilitres?
100
What is 791373.6ng in micrograms?
791.3736
Convert 8.136499ml to litres.
0.008136499
Convert 6.167584 litres to millilitres.
6167.584
Convert 32.17217 minutes to milliseconds.
1930330.2
What is 27/4 of a kilometer in meters?
6750
What is 571.7456 nanograms in tonnes?
0.0000000000005717456
What is 29/5 of a kilometer in meters?
5800
What is 3/10 of a decade in years?
3
How many micrometers are there in nine tenths of a centimeter?
9000
How many millimeters are there in 1/5 of a meter?
200
What is 3144.895 days in minutes?
4528648.8
How many microseconds are there in 982425.6 hours?
3536732160000000
What is 1/4 of a minute in seconds?
15
How many minutes are there in 1/15 of a day?
96
Convert 76.14324ml to litres.
0.07614324
How many meters are there in 0.9251234km?
925.1234
How many months are there in 7268.407 centuries?
8722088.4
What is 32711.87km in meters?
32711870
What is 15/4 of a millennium in decades?
375
How many kilograms are there in thirty-three fifths of a tonne?
6600
What is 12/25 of a litre in millilitres?
480
Convert 786.5851cm to micrometers.
7865851
How many months are there in 41/2 of a century?
24600
How many nanoseconds are there in 20390.77 days?
1761762528000000000
What is one sixteenth of a milligram in nanograms?
62500
How many seconds are there in 660.8254us?
0.0006608254
What is 42.84485 decades in centuries?
4.284485
What is 8/25 of a litre in millilitres?
320
Convert 854953.9mm to centimeters.
85495.39
Convert 1591.293 months to centuries.
1.3260775
What is 2.780724um in centimeters?
0.0002780724
Convert 42785.6 micrograms to milligrams.
42.7856
Convert 778607.8mg to tonnes.
0.0007786078
Convert 37.8355 centuries to millennia.
3.78355
How many microseconds are there in 53/4 of a millisecond?
13250
What is 58781.39 kilometers in centimeters?
5878139000
Convert 2.497063 centuries to months.
2996.4756
What is fifty-one quarters of a meter in centimeters?
1275
How many litres are there in 0.8192969ml?
0.0008192969
What is 1/5 of a decade in years?
2
What is 59/5 of a decade in years?
118
How many milliseconds are there in three fifths of a minute?
36000
How many kilometers are there in 65.43958mm?
0.00006543958
What is one tenth of a milligram in micrograms?
100
How many millilitres are there in 28.8394 litres?
28839.4
What is six fifths of a kilogram in grams?
1200
How many nanograms are there in 55028.9kg?
55028900000000000
How many centimeters are there in 1/5 of a kilometer?
20000
What is seven quarters of a litre in millilitres?
1750
What is 57434.12 micrograms in milligrams?
57.43412
What is five quarters of a litre in millilitres?
1 | {
"pile_set_name": "DM Mathematics"
} |
for y.
-5
Solve x + 18 = -4*f, x + f + 1361 = 1355 for x.
-2
Solve -31*c + 9 = -34*c - 4*v, -5*c - 4*v - 15 = 0 for c.
-3
Solve 15 = -5*f, f + 30 = 4*a + 27 for a.
0
Solve -3*i = -3*d, 223 = 4*d - 5*i + 219 for d.
-4
Solve -5132*c + 12 = -5131*c + 5*s, -3*c + 3*s = 0 for c.
2
Solve -2*d - 5*g = -48, 0 = 69*d - 66*d - 12*g - 72 for d.
24
Solve -19 = 3*n + s - 10, -2*s = -16*n - 26 for n.
-2
Solve 5*x - k = -29, -118*x - k + 3 = -117*x + k for x.
-5
Solve 0 = -5*q - 1 + 6, 14 = 10*c + 5*q + 49 for c.
-4
Solve 21*p - 19*p = 4*z - 28, 2*p + 12 = 2*z for p.
2
Solve -81*l + 28 = -77*l - 2*j, 16 = -4*j for l.
5
Solve 4*n + 46 = 5*r, 5*r - 5*n - 36 + 14 = 28 for r.
6
Solve 0 = 14*n + 42, 0 = -46*a + 49*a + n - 12 for a.
5
Solve -202*z + 200*z + 2 = 3*v, 0 = -v + 5*z - 5 for v.
0
Solve -25 = -3*p - 56*y + 52*y, 4*p + 5*y - 31 = 0 for p.
-1
Solve 0 = -2*n + f - 8, -3*n - 4*f - 63 + 51 = 0 for n.
-4
Solve -5*v - 5*w = 5, 1802*v = 1806*v + 3*w for v.
3
Solve -p - 20 = 4*s, s - 2*p - 54 = -50 for s.
-4
Solve -40 = -4*s, 5*w - 5*w + 2*s + 4 = 6*w for w.
4
Solve 0 = -3*h - 36*a + 33*a, 3*h + 2*a = h + 7*a for h.
0
Solve 4*p = -6*a + 14, -4*p = -9*p - 4*a + 21 for p.
5
Solve o = -3*c - 8, 498*o - 493*o - 12 = -2*c for c.
-4
Solve n + 4*u = -51 + 34, -10*n = -2*u + 2 for n.
-1
Solve -49 = 2*l - 41, k = -6*l - 44 for k.
-20
Solve 0 = 2*h + y - 139 + 127, 0 = h - 4*y + 48 for h.
0
Solve 5*s + 11 - 1 = 0, 0 = 4*d - 3*s - 699 + 709 for d.
-4
Solve -196*z + 4*n = -200*z + 52, 4*n = 4*z - 20 for z.
9
Solve -m + 5*x = 19, -13*m + 24*m = -x - 209 for m.
-19
Solve 5*c + n = 57, 84*c - 88*c = 2*n - 42 for c.
12
Solve 4*c = -3*z + 6, -30*c - 5*z = -26*c - 18 for c.
-3
Solve -131*y - 3*l + 26 = -127*y, -l = -2*y - 12 for y.
-1
Solve -4*h - 4 = -w - 5*h, -4*h + 23 = 5*w for w.
7
Solve -2*n + 24 - 23 = c, -5*n + 10 = 0 for c.
-3
Solve 25*p - 27*p = -3*d, -13 = 3*p + 2*d for p.
-3
Solve -9 = -o + 2*v, 3*o - 30*v = -35*v - 39 for o.
-3
Solve -5*n - 27 = -5*c - n, 2*c = -5*n + 24 for c.
7
Solve -4*j + 4*f = 0, 58*j - 5*f + 1 = 52*j for j.
-1
Solve 0 = 3*m + 5*g + 44, -5*m + 14*g - 3*g + 123 = 3 for m.
2
Solve 5*c + 15*g - 48 = 62, 5*g = c + 2 for c.
13
Solve -58*a - 48 = -4*l - 44*a, -2*l - 5*a = 24 for l.
-2
Solve 0 = -q - 2*k, 92 - 92 = 3*q - 5*k for q.
0
Solve 48*a = -2*q + 188, -45*a - 24 = 4*q - 49*a for q.
-2
Solve -55 = -4*r + 7*k, -5*r + 551 = -4*k + 525 for r.
-2
Solve g + 98*x = 93*x - 24, 3*x = -3*g - 24 for g.
-4
Solve -174 + 164 = 2*s - w, w = 5*s + 22 for s.
-4
Solve 0 = 265*q - 261*q - 28, q + 5 = -6*i for i.
-2
Solve -2*k - k + 3*l + 0*l = -12, 24 = -4*l for k.
-2
Solve -5*i = -3*d - 33, -1591*d = 2*i - 1589*d + 38 for i.
-3
Solve -3*w + n + 284838 = 284817, -5*w + 42 = -4*n for w.
6
Solve y = 6*s + 12, -2*y - 2985 = 3*s - 2949 for s.
-4
Solve -314*q + 4 = c - 319*q, -2*c - 28 = -q for c.
-16
Solve -4*l + i = -25, -5*l + 40 = -5*i + 2*i for l.
5
Solve 2*c = -4*v - 250 + 232, 2*c + 5*v + 22 = 0 for c.
-1
Solve -4*d - 3 = -w, 922*d - 927*d + 3*w = 30 for d.
3
Solve -15 = 3*i - y, i - 5828*y + 5827*y = -9 for i.
-3
Solve -3*w + 10 - 12 = 2*i + 1, -3*w = -i - 6 for i.
-3
Solve -59 = 4*p + i - 39, 5*p = -4*i - 36 for p.
-4
Solve 4*f = f - 5*t - 2, -4*f - 16 = 4*t for f.
-9
Solve 0 = 2*o - 2446*h + 2445*h - 2, 2*o = -4*h + 42 for o.
5
Solve 2*g - 30 = -3*o, 23 = -3*g - 739*o + 743*o for g.
3
Solve 0 = -1425*c + 1427*c - 4*o - 34, 5*o = -3*c + 62 for c.
19
Solve -27*n - 38 = -0*c + 3*c - 23*n, 3*n = 5*c - 14 for c.
-2
Solve 3*h = 2*q + 13, 1 = -2*h + 2*q + 9 for h.
5
Solve g - l + 1 = 0, 3*g + 9701*l + 19 = 9700*l for g.
-5
Solve 26237*q - 26238*q + y = 1, 4 = 2*q - y for q.
5
Solve 13 = -5*s - 81*m + 80*m, -m = -3*s - 19 for s.
-4
Solve 3*w - 5 = y, 0 = -3*y - 3*w - 54 + 63 for y.
1
Solve -4*d - p + 335 = 351, 20 = -5*d - 5*p for d.
-4
Solve -3*g + p - 40 = 0, -1054*g + 4 = -1056*g - 5*p for g.
-12
Solve 734*l - 736*l = 4*h + 6, 6*l - 4*h - 14 = 0 for l.
1
Solve -30 = 3*t + 4*v - 35, t + 4*v = -9 for t.
7
Solve -32 = 2*v + 8*y, 0 = 3*v - 505*y + 503*y - 8 for v.
0
Solve 0 = -7*t - 3*s - 19, 91*t = 89*t + 2*s + 26 for t.
2
Solve 2*i + 238*w - 1 = 235*w - 10 - 7, 0 = -2*w - 8 for i.
-2
Solve -24 = -3*v, 26 = -520*p + 522*p + 3*v for p.
1
Solve -6*y = 3*z - 27, 2078*z - 2083*z + 2*y = 15 for z.
-1
Solve 5*i - 3*k = 4, -5*k + 6*k = -4*i - 7 for i.
-1
Solve 4*f + 5*b + 23 = 0, 5*f + 760*b = 762*b - 37 for f.
-7
Solve -106*r - 5*n - 20 = -109*r, 25 = 4*r - 5*n for r.
5
Solve -20 = 3*b + x, 123020*x - 123023*x - 24 = 0 for b.
-4
Solve 15 = -5*d + 5*f, 0 = -4*d - 3*f + 5448 - 5474 for d.
-5
Solve 4*j + 24*v - 6 = 21*v, -2*j = -2*v - 2 + 6 for j.
0
Solve -6092 = -5*y - 6097, 0 = -3*n + 2*y - y + 40 for n.
13
Solve -5*k - 27 = 4*h, -h = 26*k - 23*k + 5 for k.
1
Solve -191*b + 2*h + 32 = -196*b, 5*h = 5*b - 10 for b.
-4
Solve n + 4 = 0, 4*b - 2514*n = -2516*n - 12 for b.
-1
Solve 28 = -3*c + 4*v, 0 = -5*v + 33*v - 15*v - 52 for c.
-4
Solve 4*g = -3*h + 62, 220*g - 165*g - 74 = 2*h for h.
18
Solve 131*x - 135*x + 17 = 9*c - 10*c, 0 = -3*x - 2*c + 21 for x.
5
Solve 2*k + 35*j = 39*j + 94, j = -5*k - 29 for k.
-1
Solve 42 = -3*y + c + 17, y = c - 5 for y.
-10
Solve 12202*p - 12203*p - 4*y + 56 = 0, -y = -3*p - 14 for p.
0
Solve 10*r = 11*r - 5, 5*c + 3*r - 25 = 0 for c.
2
Solve -3*f - 6*m = -45, -4*f - 56*m + 55*m = -25 for f.
5
Solve 5*q = -87*t + 85*t + 1, 5*t + 12 = 2*q for t.
-2
Solve 2 = -2*f + g, -32 - 41 + 17 = 16*f + 2*g for f.
-3
Solve 37*w - 209 = -4*z, 4*w - 35 = 3*w - 4*z - z for w.
5
Solve z + n - 2 = 0, 4*z - 7 = 68*n - 71*n for z.
1
Solve 3*u + 2*u = -3*g - 3, -26 = -8*g - 2*u for g.
4
Solve -357*z + 5 = -355*z + s, 0 = -s + 3 for z.
1
Solve -21 = 2383*w - 2384*w - 2*u, 18 = -3*w + 3*u for w.
3
Solve 2*t = -3*r - 10, 4*r = -5*t + 7*r - 4 for t.
-2
Solve 18 = -2*z - 5*s, -3*z + 20*s - 23*s - 9 = 0 for z.
1
Solve -3*x + 3553 = -5*m + 3565, -2*x = -m + 8 for x.
-4
Solve -16 = -2*v - 2*b, 13*b + 54713 = 3*v + 54673 for v.
9
Solve 3*m = 15, -28*f + 23*f - 4*m + 10 = 0 for f.
-2
Solve 105*g = 4*c + 103*g + 26, -2*c = 5*g + 7 for c.
-6
Solve -b = 2*b + 4*x - 3, 4*b = 4*x + 4 for b.
1
Solve -3*w + 9*w + 3*y = -2*w - 39, 5*y + 25 = 0 for w.
-3
Solve -24*c = 1833*s - 1836*s - 18, -3*c + 3 = 0 for s.
2
Solve 287*m - 272*m - 59 = -o, -5*o + 3*m - 17 = 0 for o.
-1
Solve -4*p + 4 = 2*a, 0 = 2*p - 19*a + 15*a + 18 for p.
-1
Solve 8 = -5*b + 106*d - 91*d + 98, -10 = -5*b - d for b.
3
Solve 2*s + 4 + 8 = 0, 2*d - 40 = -2*d + 4*s for d.
4
Solve 0 = -3*s + 15, 7*s = 5*w + 9*s - 5 for w.
-1
Solve 13*l + 36 = 5*j, -4*j + 62 = -3*l + 48 for l.
-2
Solve -3*k - 69 = c, 91 = 588*k - 592*k - c for k.
-22
Solve 4 = -2*z - 3*n - 9, 10328*z = 10330*z - 5*n - 27 for z.
1
Solve 0 = -3*m - 5*c + 7, -125*m - 5*c + 6 = -121*m for m.
-1
Solve -k = -2*z + 31 - 41, 4*z + 12 = 0 for k.
4
Solve -4*b - 184 = -3*y - 178, 3*b + 6 = 3*y for y.
2
Solve 0*h = h - 4*z - 33 + 52, 0 = -5*z + 10 for h.
-11
Solve -46*p - 49 = -45*p + 5*j, -8*j - 75 = 5*p for p.
1
Solve -i - 10 = -4*u, -4*u + 5*i - 9*i = -40 for u.
4
Solve 5*j + 22 = 2*q + 26, -3*q + 13 = 2*j for j.
2
Solve 2*g = -4*h - 22, -46*g - 17 = 3*h - 44*g for h.
-5
Solve 59*j - 18 = -4*z + 48*j, 5*z - 2*j + 9 = 0 for z.
-1
Solve -2*s - w = 10, -22 = 4*s - 90*w + 91*w for s.
-6
Solve 4*a = 20 - 12, a = -4*q - 6 for q.
-2
Solve 2*g - 10 = -5*w, 0 = 2*w - 4*g + 362 - 390 for w.
4
Solve s + 2*o + 8 + 4 = 0, -27 = s + 5*o for s.
-2
Solve -2*k + 168332 - 168352 = 4*i, 3*k + 24 = -4*i for k.
-4
Solve 7*i = 5*m + 34, -39022 = 5*m - 39002 for i.
2
Solve -2 = -o + x, 0 = -348*x + 344*x - 12 for o.
-1
Solve 3*b - 25 = 4*z, z - 3 = 4*z + 3*b for z.
-4
Solve 5*l - 52 = 3*x, 23*l - 20*l = 24 for x.
-4
Solve 58*p - 61*p = 4*g, -5*p - 8 = 4*g for g.
3
Solve 4*w = 3*k + 3, -91*w + 8*k - 21 = -90*w for w.
3
Solve -4*g = 4*h - 195 + 231, h = -5*g - 5 for h.
-10
Solve 15 = -5*a - 2*x, -9 = 3*a + 463*x - 459*x for a.
-3
Solve -2*w - 12 = -2*p, 81*w - 3*p = 80*w - 8 for w.
-5
Solve u + 2*m + 15 = 0, 55 = -5*u - 124*m + 119*m for u.
-7
Solve 3*u = -2*y - 17, -4*u - 71 = -11*y - 62 for y.
-1
Solve -19*d = -5*r - 120, -3*d - 23 = 2*r - 28 for d.
5
Solve 1634*v = 1629*v - 15, -3*t - 4*v = 33 for t.
-7
Solve -x - 11221 = -3*v - 11217, 0 = 4*x + 16 for v.
0
Solve -72*b = -3*g - | {
"pile_set_name": "DM Mathematics"
} |
7 - 11 - -3)?
8
Evaluate 23 - (27 + 6) - (-15 + (0 - -1)).
4
What is 18 - (-2 + 17 - (-21 - -3))?
-15
What is (-5 + 10 - (-2 + -1)) + -14 + 0?
-6
-37 + 107 + 0 + 6 + -3 + -14
59
What is -3 + -47 - (-51 + (13 - -13) - -47)?
-72
(13 - 16 - (-10 - -1)) + 23 + 40 + -124
-55
What is 22 + 3 + (-35 - (-7 + -6))?
3
Calculate 9 + (0 + 5 - (24 + -4)).
-6
Evaluate 67 + -61 + (13 - 23).
-4
1 + 1 - ((10 - -10) + -48 + 79)
-49
What is -6 + 37 - 14 - 21?
-4
What is (11 - 4) + 4 - ((-67 - -8) + 0 + 9)?
61
What is the value of -1 + (-29 - -25 - (30 - 40))?
5
Evaluate (-12 - 19) + 27 + 1 + 11 + (-9 - -12).
11
(0 - 2 - 16) + (463 - 544)
-99
What is 6 + (2 + -78 + -4 - (-20 + -34 + 40))?
-60
Calculate (4 + 4 - 1 - (60 - 48)) + 13.
8
Evaluate (2 - 1 - (-46 - -44)) + -7 + (-3 - 18).
-25
What is the value of 29 - (18 + (11 - 19) + 11)?
8
Calculate 19160 - 19133 - (-1 + (2 - -1) + -1).
26
0 + 54 - (224 + -212)
42
(19 - (-76 + 37)) + -19 - 119
-80
Evaluate (0 - -12) + 4 - (81 - 94).
29
What is the value of -300 + (-4 - -124) + 65?
-115
What is the value of 73 + -31 + 38 + -33?
47
What is 14 + (8 - (-20 - -14)) + 13?
41
What is the value of 2 + -1 - (-2 - (-27 + 12))?
-12
-14 + (3 + 0 - 81 - (545 - 547))
-90
Evaluate -3341 + 3345 + -99 + (-4 - 0) + 1.
-98
1 + -2 - 24 - (-2180 + 2159)
-4
Evaluate -70 - -1 - (22 + -15 + (30 - 26)).
-80
What is the value of 31 - (26 - -14 - 18)?
9
What is 65 + -33 + (0 - 11) - -4?
25
Calculate (-66 - 18) + 74 + 42.
32
What is (6 - -3) + (52 + -37 - (1 + 0)) + -14?
9
17 + -1 + 124 + -124 + -17
-1
(-55 - (-5 + -20)) + (29 - 14)
-15
Evaluate 296 + -232 + (-51 - 0).
13
What is -37 + 75 + -25 + 6 + -12 + -11?
-4
Evaluate 10 + -9 - 6 - -2 - (8 - 5) - 54.
-60
What is (17 - 9) + (10 - (-8 - -57))?
-31
Calculate -23 - (34 + -52) - (2 - -6).
-13
Evaluate (-24 - -48) + (-3 - 3) + -13 - -11 - -1.
17
-10 - (-5 + 1) - (46 - (27 - -22))
-3
What is the value of (-130 - (-167 - -42)) + 28?
23
12 + -13 + ((3 - 13) + 11 - -12)
12
Evaluate (26 + -40 - -51) + -93 - (0 - 16).
-40
Evaluate (109 - 146) + 147 - 49.
61
Calculate -8 + -23 + (-39 - -100) - -7.
37
Calculate 20 + (-11 - (-18 - -7 - -10)).
10
What is -1 + 18 - (-34 + (169 - 121))?
3
What is the value of 27 + -1 - (-458 + 465) - -103?
122
Evaluate (14 - -50) + -61 - (-5 + 32 + 4).
-28
What is the value of (47 - (0 - 5 - (55 + -67))) + 7?
47
Evaluate 0 - (-3 + 5) - (-197 - -145) - (3 + 4).
43
What is the value of (29 - (-9 - (-5 - -2) - -3)) + (4529 - 4517)?
44
-13 - (0 - -3 - (2 - -1 - (-102 + 134)))
-45
(-11 - 44) + 2 + (16 - (7 - 0) - 5)
-49
What is the value of 5 - (-18 + (40 - 1))?
-16
What is 19 - (46 + (32 - 38) + -26)?
5
Evaluate (-26 - (-90 - 0)) + -18 - -18.
64
Calculate 667 + -657 + -42 + 0.
-32
What is the value of (26576 - 26565) + (0 + -13 - (1 + 1))?
-4
-4 - -72 - (37 - -2 - (53 + -32))
50
Calculate (-962 - -951 - (3 + -1 + -10)) + 63.
60
What is the value of -2 + -19 + -1 - (4752 - 4713)?
-61
Calculate (5 - -23) + -16 + -20.
-8
Calculate (-19 + 6 + 28 - -14) + 10.
39
(-42 - -20) + (216 - 134)
60
(39 - -16) + (-47 - 25)
-17
What is the value of 4 + (-14 + (9 - 6) - -13) - (4 - 1)?
3
What is 15 + -15 + -14 + 57 + (-15 - -11)?
39
Evaluate -75 - (-8 - (7 + -28 + -9 + (3 - -11))).
-83
What is 2 - ((-15 - -28) + (-107 + 3 - -3))?
90
What is 16 + (39 + -24 - 19)?
12
18 + (1 + 3 - -11) + -69
-36
What is 0 + -2 + -45 - 1 - ((-94 - -155) + -57)?
-52
Calculate -12 - ((22 + -14 - 36) + -13 - -10).
19
What is (-139 - (-52 - -1)) + 47?
-41
What is the value of (-57 - -5) + (-199 - -197) + -2 + 18?
-38
What is 0 - (-13 - 2) - (113 + -66 + 13)?
-45
What is -18 - (-19 - (8 - (-8 + 13)))?
4
Evaluate (3396 - 3478) + (11 - (0 - (-4 - 1 - -3))).
-73
Evaluate -30 + 1 - (-45 + -53).
69
Evaluate 12 - ((-1 - -18) + (-65 - -37)).
23
(157 - 282) + 129 - (0 + 72)
-68
(0 - 14) + -5 - (-72 + 4 - 61)
110
Evaluate -1 + (-14 - 6) + 17 - 44.
-48
What is the value of (-42 - (-122 - -69) - (14 - 1)) + -44?
-46
-4 + 6 + -32 + 342 + -228
84
(-28 - ((1 - (-5 - 14)) + -7)) + -3
-44
What is -563 + 741 - (-17 - -80)?
115
What is 138 - (102 - -56) - (1 - 40)?
19
Evaluate (-22 - -82) + -27 + 0 + 32.
65
Calculate 5 + 7 + (12 + -33 - -51) + -1 + 0.
41
What is the value of -8 + 1 + 14 + 19 + (-27 - -18)?
17
Evaluate -120 - -5 - (11 + 3 - (268 - 237)).
-98
What is 2 + -66 + -1 + (-83 - (-39 + -31)) + -8?
-86
What is -37 - (-23 - -97) - -98?
-13
What is the value of -2 + (4 - -69) + 32 + -45?
58
What is the value of -1173 + 1117 + (24 - 3) + 0?
-35
What is -134 + -2 - (-89 + 198 - 127)?
-118
Evaluate 43 - 0 - (11 - (-20 + (-9 - -27))).
30
(16 - (17 - -15)) + (10 - -7) - 67
-66
What is the value of -1490 - -1500 - ((-51 - (-3 - 1)) + -4)?
61
Calculate 14 + (-1 - -2 - (3 - (42 - 51))) - 70.
-67
What is the value of -205 - -248 - ((-4 - -7) + (-5 - 4))?
49
Calculate 10 + 2 + 14 + 49 + (-15 - (-6 - 4)).
70
What is -10160 - -10186 - (-1 + 0 - 21)?
48
Evaluate -6 + (12 - 2) + (-122 - -154) + -7.
29
-910 - -990 - (5 + -3)
78
Calculate (-1201 - -1258) + -58 + 3.
2
What is the value of 51 + -2 - (-173 + 142 - (-16 - 0))?
64
Calculate 56 - 16 - (121 + -132).
51
Calculate 12 + -1 + (44 - 18).
37
What is (-3 - -2 - (21 + 8 + 27)) + -5 - 2?
-64
What is the value of -20 + (-5 - -10 - 4) - -4?
-15
What is the value of (6 + -3 + 1 - (61 - 69)) + -66?
-54
What is (7 - 26) + (-46 - -85) - (73 + 1)?
-54
Calculate (-41 - 13) + 49 + 45.
40
What is the value of -62 + (7 - (-43 + -48))?
36
Calculate -1162 - -1104 - ((-20 - (-3 - -1 - 2)) + 3).
-45
1 + -1 + 0 + 69 + (-41 - (70 - 98))
56
Calculate (52 - 9) + -32 + (-41 - (3 + -3)).
-30
What is the value of 101 + (43 - (19 - 12) - 40)?
97
What is 5 - (2 - -5) - (-4 + (-27 - -7)) - 9?
13
What is the value of -5 + 1 + 6 - (151 - 131)?
-18
What is -1 + -6 + -26 + 46?
13
What is 12 + (2 - 83 - -70)?
1
Calculate 1 + 62 + (0 - 54) + (-3963 - -4003).
49
179 + -185 + (47 - (-2 + 0))
43
What is (-3 - -9) + 33 - (-6 - -4 - 1)?
42
Evaluate (-21 - (-118 - -34 - 13)) + (5 - 16).
65
Evaluate (5 - -3) + (-2 - -1) - (-53 + 23 + -13).
50
What is (-149 - -172) + (-17 - -5 - -92)?
103
What is the value of (71 - 105) + 32 - 33?
-35
Evaluate -77 + (185 + -96 - 86).
-74
42 - ((33 - -8) + -11)
12
-3 + 131 + -239 - -132
21
What is the value of 10 + 10 + -17 - (-21 - 25)?
49
What is the value of 43 + 7 + (-7 - -26 - 26) + 19?
62
What is (2 - (-5 + -1)) + 51 + -13?
46
(-41 - 1) + (8 - 31) + (29 - 12) - -3
-45
Calculate 96 + 91 + -295 + 5.
-103
What is the value of 57 - (-37 + -3 - -64)?
33
What is -50 + 89 + -7 - 5?
27
-28 - (-14 + 22 - 14) - -60
38
Evaluate 14 - -17 - 32 - -34.
33
Evaluate 1 + 8 - (-26 + 7 + -3 - -71).
-40
Evaluate -1 - 3 - (15 - (67 - -14)) - -1.
63
Calculate -57 - (-91 - -67) - (0 - -12).
-45
What is the value of -76 + 9 - -5 - -73?
11
Calculate 0 + (-1 - -3) - (-128 - -182 - 45) - -71.
64
Calculate (3 - 1) + 44 + 6700 + -6660.
86
Evaluate 161 + 61 + -116 + 23.
129
What is 18 + (-1 + 0 - (68 + -84 - 41))?
74
What is 3 + 1 + (-41 - -138) + -59?
42
-90 - -80 - -11 - 72
-71
What is the value of 25 - (7 - 2) - (-7 - (8 - 13))?
22
-4 - -3 - 43 - ((-6 - 36) + 6 - -39)
-47
Calculate 121 + -14 + -26 + -67.
14
What is the value of -14 - -45 - -3 - (-7 - -24)?
17
What is 0 - (-1 - -22) - -41?
20
Calculate 1436 - 1472 - (1 - 37).
0
Calculate 45 - 46 - -12 - -5.
16
What is 70 - -6 - (-13 + (23 - (-16 - -12)))?
62
-4 + 26 - (1 + -4 + 4 + 8)
13
Evaluate -73 - (1 + -2) - (-158 + 140).
-54
Calculate -5 + (1 - -8) + 51 + -59.
-4
Evaluate 10 + 3 + -98 - (-10 - (-4 + -2 - -1)).
-80
-20 + (7 - (-1 + -8 - (-21 - -18)))
-7
Calculate -6 + 3 + 2 + 1 - (-522 + 505).
17
What is the value of 49 + 0 - (-14351 + 14464)?
-64
-32 - (-33 - (-45 - (15 - 45)))
-14
-4 - (4 + -105) - (-85 + (34 - -65))
83
Calculate -33 + 1 + (9 - ((13 - -5) + 1 + -7)).
-35
Evaluate -52 + 91 + (-19 - 20).
0
Calculate 8 + 11 + 6 + (3 - -6) + 2.
36
Calculate -37 + 26 + 16 - (-64 - -71 - (-1 + -6)).
-9
What is the value of (12 - -26 - 30) + (8 - 12)?
4
-10 + -56 + -422 + 397
-91
Calculate (23 - (-6 + 17)) + (-20 - (-42 + 9)).
25
What is the value of 3 + -5 + (-18 - (-4 - 16 - 3))?
3
Calculate -6 - 97 - 10 - (160 + -190).
-83
What is the value of (4 - (8 + -12)) + 6 + (-36 - -9)?
-13
What is the value of (2 - (-13 + 14 - 14 - -16)) + (-1 - -50)?
48
What is the value of | {
"pile_set_name": "DM Mathematics"
} |
common denominator of -7/2 and t.
12
Suppose -b + 7*b - 6 = 0. Let p = b - -7. Calculate the lowest common multiple of p and 8.
8
Suppose -196*j = -179*j - 272. Calculate the lowest common multiple of 96 and j.
96
Suppose -c + 2*t - t + 11 = 0, -5*t = -c + 27. Suppose -f - 157 = 113. Let d = f - -281. What is the lowest common multiple of c and d?
77
Let v = 39179/8 - 4908. Find the common denominator of 3 - 2*(-71)/(-48) and v.
24
Let h(n) = 5*n - 94. What is the smallest common multiple of 266 and h(23)?
798
Suppose 4*o - 5*k - 1343 - 273 = 0, -1616 = -4*o - 3*k. What is the lowest common multiple of o and 4?
404
Let c = 1/2818 - 23965/33816. Find the common denominator of c and (30/25)/((-7)/((-595)/(-10))).
120
Suppose -4870 = -5*v - 0*v. Let h be ((-184)/(-136))/((-2)/v). Let y = h + 656. Calculate the common denominator of 29/10 and y.
170
Let n = 400 + -315. Calculate the lowest common multiple of n and 119.
595
Let w = 19 - 5. Let r be ((-3)/(-2))/(13/26). Suppose -r*t = -2*h - 68, -2*h + 60 = 4*t + 3*h. Calculate the lowest common multiple of t and w.
140
Let j = 13539033/266 - 50899. Calculate the common denominator of 31/2 and j.
266
Let c = -1165/118698 - -18/1897. Let v = c - -16523/2044. Find the common denominator of -23/18 and v.
36
Let z = -16367/15 - -1090. What is the common denominator of 34/141 and z?
705
Let q = 10836/5 - 2175. What is the common denominator of 15/270*-37 + 10 and q?
90
Let n be (-1)/(334519/10 - (-6)/10). Let k = n + 2475613/4281920. What is the common denominator of k and 4/9?
576
Let m be (-5 - 1)/(21/(-6) - -5). Calculate the common denominator of (-1435)/84 + 3/m and -10/7.
42
Let v be (-3)/27*-3*24. Suppose 0 = 3*y - 2*q - v, -4*y + 3*q + 10 = -0*y. Let s(w) = 11*w - 4. Calculate the lowest common multiple of 22 and s(y).
440
Let g(z) = 4*z - 3. Let d be g(-2). Let c = 22 + d. Suppose 3*i - 2*j - 10 = 0, -4*j = 11 - 3. What is the least common multiple of i and c?
22
Let x(n) = -3*n + 2. Let h be x(6). Let u(f) = -f**3 + 11 - 25*f**2 - 4 + 8*f**2 + 9 - 16*f. What is the smallest common multiple of u(h) and 6?
48
Let i = 1362 + -1314. What is the smallest common multiple of 438 and i?
3504
Let t = 31 + -16. Calculate the smallest common multiple of ((-1)/(-3))/(t/270) and 6.
6
Let w be -6*8/12 - 4. Let m = 28 + w. Calculate the least common multiple of 18 and m.
180
Suppose -27 = -5*n + 48. Suppose 2*x + c + 9 = 6*c, n = 3*c. Suppose -5*a - 4*p = -72, 3*a + 2*p - 54 = -a. What is the least common multiple of x and a?
24
Suppose 0 = 3*b - b + 2*k - 22, 5*b + 3*k = 61. Let v(u) be the third derivative of u**4/24 - u**3/2 - 3*u**2. What is the lowest common multiple of v(7) and b?
28
Let s = -134 + 202. What is the lowest common multiple of s and 28?
476
What is the least common multiple of ((-44)/10)/11*5/(-2) and 43?
43
Let l = 66/5 + -584/45. Let n = l + 89/45. Calculate the common denominator of n and 24/7.
35
Let k be (70/56)/((-5)/(-24)). Let r(d) = d - 1631. Let h be r(0). Calculate the common denominator of -53/14 and (-4)/k - h/336.
112
Let i = -549/2 - -224. What is the common denominator of (1148/(-32) - -4)*(-26)/78 and i?
8
Let y(v) = -8*v + 1. Let i(c) = -25*c + 3. Let p(o) = 3*i(o) - 8*y(o). Let q be p(1). Find the common denominator of (2/q)/((-14)/385) and -59/32.
32
Suppose -16 = 4*z, 5*b = 2*b - 5*z + 85. Let d = -55 + b. What is the common denominator of (d/(-48))/(-5)*2 and -101/8?
24
What is the least common multiple of 17/((-34)/(-336))*2/4 and 98?
588
Suppose -3*g - 183 = -891. What is the least common multiple of 8 and g?
472
Let h(a) = 8*a - 1. Let d be h(3). Let g be ((-9)/(-6))/((-1)/14). Let q = d + g. Calculate the lowest common multiple of 9 and q.
18
What is the common denominator of ((392/42)/((-4)/6))/(-13) and -2/3?
39
Suppose -682 = -5*m - 2*q, 0 = -2*m + 4*q - 51 + 319. What is the smallest common multiple of 3 and m?
408
Let j = -251 + 275. Calculate the smallest common multiple of 30 and j.
120
Let r be (-6)/20118*((-27)/(-15) - 2). Let l = r + 1173523/452655. Find the common denominator of l and -34/33.
297
Let j = -6867 - -439585/64. Calculate the common denominator of -53/3 and j.
192
What is the common denominator of 2*10/48*38/(-4) and 74/105?
840
Let g be ((-144)/(-64))/(1/44). Let h = g + -1983/20. What is the common denominator of -35/16 and h?
80
Suppose -3*y - 3 = 5*p + 6, 5*y - 22 = 4*p. What is the least common multiple of (6/(-40)*-4)/(p/(-45)) and 5?
45
Let b be (-4 - (10/(-2) + 3))/(-1). Suppose -b*t + 4*a + 56 = 0, -4 = -2*a - 2. Calculate the least common multiple of 12 and t.
60
Let h = -17 - -23. Suppose 0 = h*v - 2*v - 4. What is the smallest common multiple of v and 10?
10
Let b = 5 + 1. Suppose 78 = 6*p - 84. What is the least common multiple of b and p?
54
What is the common denominator of 6/2 + 364/(-32) and 1/108*-123 + 4*1?
72
Let f be (-8)/((-64)/12)*-2. Calculate the common denominator of 3 + f - 146/20 and -73/6.
30
Let k(d) = 2*d**2 + 14*d + 11. Let l be k(-5). Find the common denominator of -79/22 and l/(-2 - 1)*125/(-120).
88
Let z = -1904 + 1925. Let a = 12 - 6. Calculate the smallest common multiple of z and a.
42
Let t(m) = 7*m - 7. Let p be t(-10). Let j = 82 + p. Calculate the least common multiple of 1 and j.
5
Let o be ((-38838)/45)/(12/(-40)). Let j = 2873 - o. What is the common denominator of j and (-153)/18 + 3/4?
36
Let x be (-18)/(-3)*(-14)/(-4). Suppose 20*y - x*y + 3 = 0. Calculate the lowest common multiple of 2 and ((-16)/12)/((-1)/y).
4
Suppose 2*t - 5*t + 15 = 0. Suppose -k + 10 = 2*i, -4*i + 0 = -16. Suppose -3*g - 6 + 35 = -o, k*g = o + 18. Calculate the lowest common multiple of t and g.
55
Let o(y) = -y**2 - 7*y - 4. Let t = -9 - -11. Suppose -n - 5*h - 5 = 0, 4*n - t*h - 13 = 11. What is the lowest common multiple of n and o(-5)?
30
Suppose -5*b - 5*b + 18620 = 0. Let f = b + -16727/9. What is the common denominator of -149/18 and f?
18
Find the common denominator of -22*((-2100)/432)/(-35) and -53/1528.
13752
Let s = 423/4 - 107. Let y = -11919063/691 + 17249. Let n = 79441/4146 - y. Find the common denominator of s and n.
12
Let m = -2706187 - -29790393/11. Let c = m - 2028. Calculate the common denominator of (-6)/7*(-420)/(-16) and c.
22
Suppose -4*o - o + 15 = 0. Let n be (3 + 2*-6)*-1. Suppose -o = 2*w - n. What is the least common multiple of w and 9?
9
Let m = 113318/693 + -1143/7. Find the common denominator of m and -19/27.
297
Let u(f) = f**2 - 27*f - 111. What is the least common multiple of 49 and u(32)?
49
Let z = -2/323 + 2269/1292. Find the common denominator of 46/(-16)*18/12 and z.
16
Let b be (-7 + 5)/(4/(-25242)). Let c = b - 302993/24. Find the common denominator of c and 65/2.
24
Let d = -3/88 + 4943/440. Calculate the common denominator of d and 10/31.
155
Let s be ((-4)/10)/((-6)/30). Suppose -5*p - 4*d + 40 = -s*d, p - 8 = 3*d. What is the lowest common multiple of p and 21?
168
Let i(j) = j**3 - 9*j**2 + 9*j - 7. Let k be i(8). Calculate the common denominator of (-7)/9 + 9/(-18) and 198/(-8) + (3 - k).
36
Let i(a) = -112*a**2 - 2*a + 6. Let f be i(-5). Let k be (-9868)/f - (-6)/9. Let g = 5/58 - k. Calculate the common denominator of g and -25/9.
72
Let g be (-392350)/(-63) - (1 - 3). Let o = -6236 + g. Calculate the common denominator of o and 3/(-2)*41/9.
18
Let r(o) = -o**3 + 3*o**2 + o - 1. Let u be r(3). Let t(i) = 49*i - 2. Let d be t(u). Calculate the least common multiple of (1 + -2)/((-16)/d) and 20.
60
Let m(k) = 14*k - 2. Let q be m(1). Let t be 1*-9*8/q. Calculate the least common multiple of 292/24 + 1/t and 22.
132
Find the common denominator of ((-162)/32 - 22/(-11))/1 and 97/8.
16
Let r = -11 - -14. Suppose -r*o + 4*o = 2*q - 2, q - o - 1 = 0. What is the least common multiple of 23 and q?
23
Suppose -6 = 2*z - 4. Let p = -25 + 37. Let m = p + z. Calculate the smallest common multiple of m and 10.
110
Let i = 14 + -15. Let c be 623292/160 - i/(-5). Let h = c - 3888. Find the common denominator of 5/2 and h.
8
Let i = 1446023/54 + -26780. Find the common denominator of i and 29/24.
216
Let r(h) = 3*h + 78 - 76 + 3*h. Let f(i) = i. Let k(n) = -f(n) + r(n). Calculate the least common multiple of k(2) and 7.
84
Let c be (-2925)/12 + (-50)/40. Calculate the common de | {
"pile_set_name": "DM Mathematics"
} |
0). Round t to the nearest 100000.
-800000
Let t = 21209.8 - -79583.2. Let l = 100793.056023 - t. Let h = -0.056 + l. What is h rounded to 5 decimal places?
0.00002
Let i = 1531 - 571. What is i rounded to the nearest 100?
1000
Let y = -58 - -95. Let k = -95 + 50.8. Let w = y + k. What is w rounded to 0 decimal places?
-7
Let n = 81.9999846 - 82. Round n to 6 dps.
-0.000015
Let t = 10 - 9.999994. Round t to 6 decimal places.
0.000006
Let w = -866489 + 1618355. Suppose -4831866 = 4*m - w. Round m to the nearest 100000.
-1000000
Let q = -1 - -2. Let w = 320529 + -530527. Let o be (0 - q) + w + -1. Round o to the nearest ten thousand.
-210000
Let x = 156.9 - -22.1. Let g = 180.19 - x. Round g to 1 decimal place.
1.2
Let w = 670633.604 + -671807. Let f = -1168 - w. Let z = 0.004 + f. Round z to the nearest integer.
5
Let y = -20.9 + 3.9. Let f = y - -17.32. Round f to one dp.
0.3
Suppose 0 = 2*q + 3*d - 28871, -2*q + 13822 = 4*d - 15048. Suppose -n - q = 963. What is n rounded to the nearest 1000?
-15000
Let k = 0.06 - 0.08. Let c = k + 0.0200048. Round c to 6 decimal places.
0.000005
Let y = -258.7 + 238. Round y to zero decimal places.
-21
Let y be 3*195*(-28)/42. Round y to the nearest one hundred.
-400
Let n = 3 + -2.81. Let h = n + 1.921. Let l = 2.1 - h. Round l to 3 decimal places.
-0.011
Let p(r) = -165*r**3 + r**2 + 5*r + 11. Let d be p(7). What is d rounded to the nearest 1000?
-57000
Let p = 92.9999278 - 93. Round p to 5 decimal places.
-0.00007
Suppose 0*k - 5 = k + a, -k - 5*a - 13 = 0. Let c be 2/(4 + k + 0). Let s be (-1)/1*c - -1100002. What is s rounded to the nearest 1000000?
1000000
Let j = 11111138 - -3214272. Suppose -o = 5*y + 5800015, -4*y + 14674578 = -5*o - j. Round o to the nearest one million.
-6000000
Let s(n) = n**2 - 3*n + 4. Let p be s(3). Suppose -3*d + 4*a - 479980 = 0, 9*a - p*a = -25. Round d to the nearest one hundred thousand.
-200000
Let z = -9 + 14. Suppose -z*a = -113203 - 326797. Round a to the nearest ten thousand.
90000
Let u = 15.35 - -2.75. What is u rounded to 0 decimal places?
18
Let p = 12 + -11.1. Let c = p - 0.886. Let k = 0.01358 - c. Round k to four decimal places.
-0.0004
Let p = 4 + -4.8. Let t = p - -0.1. Round t to 0 dps.
-1
Let z = -424203 - -424232.00017. Let v = 29 - z. Round v to 4 decimal places.
-0.0002
Let j = 0.92 + -0.92000061. What is j rounded to 7 decimal places?
-0.0000006
Let l = -1075 + 1074.083. Let v = 0.9 + l. Round v to two decimal places.
-0.02
Let c = -704.0698 - -704. Let k = -0.07 - c. Round k to 4 decimal places.
-0.0002
Let o = -87.8 - -78. What is o rounded to zero dps?
-10
Let f be (-8)/(-6)*3790*435/58. Round f to the nearest one thousand.
38000
Let r(p) = 3*p - 22442200. Let k(a) = -4*a + 22442201. Let d(n) = 4*k(n) + 5*r(n). Let t be d(0). Let s = t + 15942196. Round s to the nearest one million.
-7000000
Let z = 589329 - -279570. Let f = z + -370911. Let y be (-2)/(-5) + f/30. Round y to the nearest 1000.
17000
Let p = 17393 + 36607. Suppose 3*t - t = p. What is t rounded to the nearest ten thousand?
30000
Let c = -0.06 - 0.01. Let a = -83 + 82.927. Let k = c - a. Round k to 3 dps.
0.003
Suppose 3*v - 21 = -4*y - 2*v, 2*y = 2*v + 6. Let t(z) = 5 + 4 - 8*z - y + 4. Let g be t(9). Round g to the nearest ten.
-60
Let i = -19.06 - 114.24. Let g = 156 + i. What is g rounded to zero dps?
23
Let c be 2/8 + 12065635/4. Let s = c + 4383611. Suppose 2*b + 2*k = 3*k - 14800005, -4*k + s = -b. What is b rounded to the nearest one million?
-7000000
Let k be 2/4*-15*164. What is k rounded to the nearest 100?
-1200
Let h = 2.28 - 2.1. Let u = -0.37 + 0.08. Let p = u + h. What is p rounded to one decimal place?
-0.1
Let a = 5.4 - 5.4067. Round a to three decimal places.
-0.007
Let u = -0.06 - 5.04. Let z = u - 1.6. What is z rounded to the nearest integer?
-7
Suppose 24 = 3*s - v - 4*v, -3*s = 3*v. Let t be s/((-213)/70 - -3). What is t rounded to the nearest one hundred?
-100
Let k = -2.872 - 1374.128. Let l = k + 1376.9317. Let t = 0.079 + l. Round t to 3 decimal places.
0.011
Let y = 12 + -12. Suppose -3300 = 3*h - y*h. Round h to the nearest 1000.
-1000
Let k = -0.06 + 0.07. Let m = k + -0.013. Round m to two dps.
0
Let k = -1456.11673 - -1395.3574249. Let d = -61.05931 - k. Let l = d - -0.3. What is l rounded to six dps?
-0.000005
Let m = 1832712808385149187 + -1832712817831062804.00000067. Let p = m - -9445913708. Let y = p - 91. What is y rounded to 7 dps?
-0.0000007
Let a = -89 - -89.83. What is a rounded to 1 dp?
0.8
Let s(g) be the first derivative of 6511*g**2/2 - 3*g + 2. Let x be s(3). Suppose 4*h = -470 - x. What is h rounded to the nearest ten thousand?
-10000
Let p = -0.21 - 2.79. Let c = p + 2.999905. Round c to 5 dps.
-0.0001
Let o = -21.00098 - -21. What is o rounded to 4 decimal places?
-0.001
Let n = 31 - 2. Let l = 5693069019.00000051 - 5693069048. Let c = l + n. What is c rounded to 7 decimal places?
0.0000005
Let m = 155188.1 - -3388428. Let z = 3543568.100054 - m. Let n = z - -48. What is n rounded to 5 dps?
0.00005
Let i = -0.8 + -0.2. Let a = 1.02 + i. Let c = -1.58 - a. Round c to one decimal place.
-1.6
Let s = -47217696.0000045 - -47217680. Let q = 14.5 - -1.5. Let c = q + s. What is c rounded to six decimal places?
-0.000005
Let y = -2.12 - 0.37. What is y rounded to one decimal place?
-2.5
Let r = -79.9895 + 80. What is r rounded to 2 dps?
0.01
Let y = 1.072 + 0.032. Let p = y - 1.29. Let z = p - -0.13. Round z to 2 dps.
-0.06
Let b = -0.96 - 184.04. Let t = 47 + b. Let l = -138.114 - t. What is l rounded to two dps?
-0.11
Suppose f - 2 = -3*f - 2*p, -2*f - 4*p = 14. Let a be (1 - f - -1)*-2. Suppose 20239 = -a*g + 226239. What is g rounded to the nearest ten thousand?
100000
Let t be (-4)/18 + (-396372)/(-54). What is t rounded to the nearest 1000?
7000
Suppose -5 - 1 = -3*l, 0 = -2*f - 2*l + 176. Round f to the nearest 10.
90
Let h = -1233 - -1233.09996. Let m = -0.1 + h. What is m rounded to 4 decimal places?
0
Suppose 0 = -4*g + 4*h + 24, 5*h = 5*g + 2*h - 22. Suppose -c + 14 = g. Let m be (-4798)/6 - 4/c. Round m to the nearest one thousand.
-1000
Suppose 726000 = -2*k - 4*k. What is k rounded to the nearest 10000?
-120000
Let s = -8 + 5. Let g be 111968 + 2*(2 + s). Suppose -m + 38966 = g. Round m to the nearest ten thousand.
-70000
Let y = 0.032989 - 0.033. What is y rounded to five decimal places?
-0.00001
Suppose -3*n = 2*q - 21, n + q - 2 = 6. Let h be 3752/n + (-6)/15. What is h rounded to the nearest one hundred?
800
Let c = -0.385 + -8.135. Let s = -0.88 + c. Round s to the nearest integer.
-9
Suppose 0 = -3*s + 3*b + 360000, -2*b + 6*b = 0. Round s to the nearest one hundred thousand.
100000
Let b = 6.904 + -7. Round b to two dps.
-0.1
Let y = -13608616 + 32408616. Suppose x = 5*x - y. Round x to the nearest 1000000.
5000000
Let w = 0.37 + -0.18. Let d = 0.19000015 - w. Round d to 7 dps.
0.0000002
Let i = -1 - -1.2. Let d = -9 - i. Let v = -2 - d. Round v to zero dps.
7
Let f = 41862701726989699.0000057 - 41862699791223761. Let k = f - 1935766070. Let i = k - -132. Round i to 6 dps.
0.000006
Let n = 3.4 - 3.564. Let q = 0.1640119 + n. Round q to six dps.
0.000012
Let y = -0.22 + -1.84. What is y rounded to one dp?
-2.1
Let h = 65 - 17. Let p = 222102136.9999942 - 222102089. Let s = h - p. Round s to six decimal places.
0.000006
Let p = 9 + -9.00026. Round p to four decimal places.
-0.0003
Let h = 0.4 + 0.6. Let w = h + -0.9. Let k = w + -0.10000007. Round k to seven decimal places.
-0.0000001
Let u = 1.7 + 5.3. Let c = u + -7.016. Round c to two dps.
-0.02
Let n(m) = -m + 3. Let h be n(-6). Let t(p) = 5*p + 12. Let s be t(h). What is s rounded to the nearest 10?
60
Suppose -20 = 2*a - c, 5*a + 18 = -2*c - 14. Let g = a - -13. Suppose g*q - 440 + 40 = 0. What is q rounded to the nearest 10?
80
Let s = 16881 - 16880.83981. Let g = 2.83993 + s. Let l = -3 + g. What is l rounded to 4 decimal places?
0.0001
Let c be (1 + -10)*(-5)/15. Let k be 6*(55000/c - 0). Round k to the nearest 100000.
100000
Let t = 5.9 - 11. Let f = t - -4.81. Let z = 1.03 + f. What is z rounded to 1 decimal place?
0.7
Suppose b - 198 + 657 = 3*g, -g + 3*b = -161. Suppose -460 = -6*q + g. What is q rounded to the nearest ten?
100
Let g = -5.5 + 0.5. Let v = g | {
"pile_set_name": "DM Mathematics"
} |
+ 0 + 0*o**2 - 1/3*o**4. Find the third derivative of j(c) wrt c.
-480*c**2
Let v(y) be the third derivative of 0 + 0*y**3 - 18*y**2 + 0*y**4 + 0*y + 19/60*y**5 - 3/20*y**6. Find the third derivative of v(j) wrt j.
-108
Let c(f) be the second derivative of -f**4/3 + f**3/2 + f**2 + 100*f. Differentiate c(a) wrt a.
-8*a + 3
Let f(b) be the second derivative of 583*b**5/20 + 101*b**4/3 - 4*b - 30. What is the third derivative of f(t) wrt t?
3498
Let w(v) = 95*v**2 + 22*v - 49. Let u(f) = 32*f**2 + 8*f - 16. Let i(b) = -11*u(b) + 4*w(b). What is the derivative of i(n) wrt n?
56*n
Let g(z) be the second derivative of -71*z**5/20 - 13*z**4/3 - 24*z + 2. What is the third derivative of g(n) wrt n?
-426
Suppose -2 - 10 = -3*j. Suppose j = 2*n - n. Find the second derivative of 2*s - 7*s**4 + 2*s + 8*s**n + 0*s wrt s.
12*s**2
Let b(y) be the second derivative of -48*y**4 + 727*y**3/6 + 415*y - 2. Find the second derivative of b(m) wrt m.
-1152
Let a(y) be the first derivative of -698*y**5/5 - 89*y**2/2 + 183. What is the second derivative of a(z) wrt z?
-8376*z**2
Let c(z) = 9*z + 21. Let t(b) = 0*b - 5*b + 9*b + 20 + 6*b. Let d(o) = 3*c(o) - 2*t(o). Find the first derivative of d(n) wrt n.
7
Find the third derivative of -60*z**2 - 48*z**3 - 3*z**3 + 65 - 65 wrt z.
-306
What is the second derivative of -c**3 - 17 - 17 - 13 - 51*c + 547*c**3 + 38 wrt c?
3276*c
Let j = -6 + 10. Suppose 0 = 90*u - 99*u + 36. Differentiate -7*q**4 + 7*q**j + 3 + q**u with respect to q.
4*q**3
Suppose 11*p + 16 = 15*p. Find the second derivative of 5*v**3 - 5*v**3 + 1394*v**p - 1384*v**4 + 25*v wrt v.
120*v**2
Let p(r) be the first derivative of r**3/3 - 2*r**2 - 77*r + 192. What is the first derivative of p(t) wrt t?
2*t - 4
Let q(o) be the second derivative of 0 + 5/2*o**2 - 3/5*o**6 + 0*o**4 + 0*o**3 + 0*o**5 + 22*o. Find the first derivative of q(s) wrt s.
-72*s**3
Let g(n) be the first derivative of 4*n**6/15 + 15*n**2/2 + 16*n - 6. Let u(o) be the first derivative of g(o). Differentiate u(c) with respect to c.
32*c**3
Let q = 3 - -8. What is the second derivative of -x**4 - x - 6*x**4 + q*x wrt x?
-84*x**2
Let l(q) be the third derivative of 271*q**4/12 - 39*q**3 + 621*q**2. Find the first derivative of l(g) wrt g.
542
Let m(t) = 198*t**2 - 4*t - 109. Let x(j) = -j**2 - 2*j - 1. Let p(l) = m(l) - 2*x(l). Differentiate p(n) with respect to n.
400*n
Let z(q) = 3*q + 1. Let k(i) = -189*i - 196. Let o(a) = -k(a) - 3*z(a). Differentiate o(v) wrt v.
180
Let x(s) be the first derivative of 11*s - 15/4*s**4 + 0*s**3 + 0*s**2 + 30. Differentiate x(y) with respect to y.
-45*y**2
Suppose 0*v - 3*v = 0. Suppose 0 = y - 2*y. Find the second derivative of v*f**2 + y*f**2 + 0*f + 5*f**2 - 2*f wrt f.
10
Let j(k) be the first derivative of 13*k**5/20 - 2*k**4/3 - 10*k - 16. Let t(s) be the first derivative of j(s). Find the third derivative of t(g) wrt g.
78
Let q = 73/14 - 33/7. Let w(l) be the first derivative of 0*l**3 - q*l**2 + 0*l + 4 + l**4. Find the second derivative of w(x) wrt x.
24*x
Let r be 1 + (5 + -4)*-2. Let l(y) = 6*y**3 - 4*y**2 + 11*y. Let h(w) = -w**3 - w**2 + w. Let p(s) = r*l(s) + 4*h(s). Find the second derivative of p(i) wrt i.
-60*i
What is the second derivative of -36*r + 35*r**4 - 7261*r**2 + 7261*r**2 wrt r?
420*r**2
Suppose -8*f - 4 + 44 = 0. Differentiate -5*z**3 - 7 + 281*z**4 - 249*z**4 + f*z**3 wrt z.
128*z**3
Let i(w) be the second derivative of -9*w**7/7 + 23*w**4/4 + 76*w. What is the third derivative of i(d) wrt d?
-3240*d**2
Differentiate 20 - 26 - 2*u**2 + 55 wrt u.
-4*u
Suppose -14 = m - 4*b, 0 = m + 2*m + b + 55. Let i be ((-12)/m)/((-1)/(-3)). Differentiate -4*w**2 + w**i + 5 + 0 - 2*w**2 wrt w.
-10*w
Let g(a) = -10*a**2 - 9 - 8*a**2 + 17*a**2 - 8*a. Let n be g(-6). Find the second derivative of -3*t + 4*t + t**n + 4*t**3 wrt t.
30*t
Let u(g) be the third derivative of 103*g**8/336 - 6*g**5/5 + 162*g**2. What is the third derivative of u(p) wrt p?
6180*p**2
Let u(i) = 17*i**3 - 25*i**2 - 5*i + 116. Let j(l) = 8*l**3 - 14*l**2 - 3*l + 58. Let m(r) = -5*j(r) + 3*u(r). Differentiate m(h) with respect to h.
33*h**2 - 10*h
Let m(c) be the first derivative of -7*c**6/120 + c**3/3 + 15*c**2/2 - 12. Let s(g) be the second derivative of m(g). Find the first derivative of s(k) wrt k.
-21*k**2
Let w(j) be the first derivative of j**5/5 + 13*j**2 - 103*j + 34. Differentiate w(v) wrt v.
4*v**3 + 26
Let c(g) = 9158*g - 14136. Let v(m) = 327*m - 505. Let q(w) = -2*c(w) + 57*v(w). Differentiate q(a) wrt a.
323
Suppose 9*q - 3*q - 102 = 0. Suppose 1 - 26 = -5*n. Find the first derivative of n*c**2 - q*c**2 - 5 + 7*c**2 wrt c.
-10*c
Let s = 549 + -241. What is the third derivative of 308*q + 12*q**2 - 17*q**6 - s*q wrt q?
-2040*q**3
Let b(j) be the first derivative of -2*j**5/5 + 383*j**4/4 + 4*j**3/3 + 78*j - 709. Find the third derivative of b(o) wrt o.
-48*o + 2298
Find the second derivative of -56*n**2 + 105*n + 0 + 276*n + 194*n**2 + 0 wrt n.
276
What is the first derivative of -326738*u + 27 + 326738*u - 35*u**2 wrt u?
-70*u
Let h(a) be the third derivative of -2*a**6/5 + 197*a**5/60 + 65*a**2. Find the third derivative of h(l) wrt l.
-288
Let i(k) be the first derivative of -101*k**4/4 + 16*k**3 + 2. What is the third derivative of i(q) wrt q?
-606
Let j(v) = 17*v**4 - v**3 + 17*v**2 - 5*v - 8. Let i(m) = -17*m**4 - 16*m**2 + 4*m + 6. Let a(g) = 4*i(g) + 3*j(g). What is the third derivative of a(k) wrt k?
-408*k - 18
Let x(o) be the second derivative of -11*o**5/4 - 26*o**3/3 - 61*o. Find the second derivative of x(m) wrt m.
-330*m
Let h = -15 - -20. Suppose -4*f = 2*y - 24, 9 + 11 = h*y + 2*f. Differentiate -6*b**2 - y*b**2 + 3*b**2 - 3 wrt b.
-10*b
Let g(i) be the second derivative of 265*i**8/28 + 13*i**4/12 + 7*i**3/3 + 28*i - 7. What is the third derivative of g(l) wrt l?
63600*l**3
Let v(p) be the third derivative of -382*p**7/105 - p**5/30 - 339*p**4/8 - 504*p**2. Find the second derivative of v(r) wrt r.
-9168*r**2 - 4
Let y(l) be the second derivative of 20*l**4/3 - 61*l**3/3 - l**2 - 2*l - 90. What is the second derivative of y(z) wrt z?
160
Let r(a) = 53*a - 145. Let v(j) = 3*j + 11. Let u be v(-6). Let s(n) = -35*n + 97. Let l(k) = u*s(k) - 5*r(k). Differentiate l(d) with respect to d.
-20
Let p = -13 - -20. What is the first derivative of -35*z**4 - 31*z**4 + 71*z**4 - 5 - p wrt z?
20*z**3
Suppose 8*l - 376 = -296. Let v be 123/12 - 2/8. Differentiate 6*h - v*h - l*h - 11 wrt h.
-14
Find the second derivative of -4*u + 13*u**3 + u**4 - 18*u**3 + 41*u - 2 + 0*u**4 - 13*u**3 wrt u.
12*u**2 - 108*u
Suppose 4*g - 3*p - 37 = 2*p, 2*g - 2*p = 16. Let z be 1 + 30/(-34) + 24/(-204). Find the first derivative of -4*s**3 + 10*s**g + 8 + z wrt s.
18*s**2
Let t(w) be the second derivative of -w**9/945 + w**6/48 + w**4/12 + 7*w. Let z(q) be the third derivative of t(q). What is the second derivative of z(x) wrt x?
-192*x**2
Find the second derivative of -62*b + 2 - 2 + 29*b + 522*b + 301*b**2 wrt b.
602
What is the second derivative of 42*t - t**2 + 10*t**2 - 32*t**2 wrt t?
-46
Let s(m) be the third derivative of 29*m**6/60 + 59*m**5/60 - m**2 - 10. What is the third derivative of s(u) wrt u?
348
Let n(q) be the third derivative of -q**8/420 - q**5/12 - 4*q**3/3 + 5*q**2. Let f(a) be the first derivative of n(a). Find the second derivative of f(s) wrt s.
-48*s**2
Let z(n) = 561*n**3 + 63*n**2 + 10*n - 5. Let o(m) = 279*m**3 + 32*m**2 + 6*m - 3. Let w(f) = -5*o(f) + 3*z(f). What is the third derivative of w(q) wrt q?
1728
Differentiate 2*f**2 - 25 + f**3 - 42 - 7 wrt f.
3*f**2 + 4*f
Suppose 5*b = -5*v + 15, 6 = v + 2*b + 2. What is the third derivative of 50*s**2 - v*s**6 + 41*s**2 - 71*s**2 wrt s?
-240*s**3
Let n(k) = -3*k - 5 - 2 + 5 + 6*k**3 + 4 + 2*k**2. Let j(u) = 13*u**3 + 5*u**2 - 5*u + 5. Let c(w) = 2*j(w) - 5*n(w). Find the second derivative of c(s) wrt s.
-24*s
Let b(h) = -11*h**3 + 88*h**2 + 314*h + 2. Let c(o) = 10*o**3 - 78*o**2 - 315*o - 2. Let f(d) = 4*b(d) + 5*c(d). Find the second derivative of f(l) wrt l.
36*l - 76
Let q = 23 + -18. Suppose -24 = -2*y - 4*o, -5*o + 2 = -q*y - 13. Find the second derivative of -3*t**3 + 3*t**3 - y*t**4 + 0*t - 4*t wrt t.
-24*t**2
What is the first derivative of -3*x - 14 + 30*x**2 - 70*x**2 + 34*x* | {
"pile_set_name": "DM Mathematics"
} |
ent from mdqoqdqzodr.
3/110
Two letters picked without replacement from {h: 9, b: 10, f: 1}. Give prob of sequence fh.
9/380
Calculate prob of sequence mm when two letters picked without replacement from mmmjmjmmjmm.
28/55
Calculate prob of sequence lufk when four letters picked without replacement from {u: 1, l: 1, r: 1, e: 1, f: 1, k: 2}.
1/420
What is prob of sequence zll when three letters picked without replacement from zlzzzzzzlzzzz?
1/78
Three letters picked without replacement from ovrgsrgsvhhv. What is prob of sequence vor?
1/220
Two letters picked without replacement from {c: 7, t: 4}. Give prob of sequence tt.
6/55
Calculate prob of sequence jjc when three letters picked without replacement from {j: 4, v: 1, c: 5}.
1/12
Three letters picked without replacement from {s: 1, g: 2, u: 1}. What is prob of sequence gus?
1/12
Calculate prob of sequence ig when two letters picked without replacement from {i: 1, p: 1, g: 3}.
3/20
Calculate prob of sequence smm when three letters picked without replacement from smmmmmmmmssmmmmmmm.
35/272
Three letters picked without replacement from {t: 6, n: 7, b: 3, h: 1}. Give prob of sequence btn.
21/680
Calculate prob of sequence vv when two letters picked without replacement from vvv.
1
Calculate prob of sequence gpq when three letters picked without replacement from {g: 1, p: 4, a: 3, c: 9, q: 2}.
4/2907
Calculate prob of sequence xf when two letters picked without replacement from fxxfxxxxxx.
8/45
Calculate prob of sequence dr when two letters picked without replacement from crcrdrrrrjrjrdcrj.
9/136
Two letters picked without replacement from roooxoowooofoo. What is prob of sequence xf?
1/182
Four letters picked without replacement from {j: 1, h: 3, l: 3}. Give prob of sequence hllj.
3/140
Two letters picked without replacement from {k: 1, v: 1, g: 2}. Give prob of sequence vg.
1/6
Calculate prob of sequence kqgg when four letters picked without replacement from bqooogoqogkbbb.
1/6006
Calculate prob of sequence uuuv when four letters picked without replacement from {v: 4, u: 3}.
1/35
Two letters picked without replacement from gpprrrp. Give prob of sequence pr.
3/14
Four letters picked without replacement from {h: 3, x: 3, k: 2, p: 5, m: 1, a: 1}. Give prob of sequence akpp.
1/819
Calculate prob of sequence gr when two letters picked without replacement from {c: 1, r: 3, g: 5}.
5/24
Four letters picked without replacement from {i: 7, e: 3, u: 5, l: 1}. What is prob of sequence eiil?
3/1040
Calculate prob of sequence rrg when three letters picked without replacement from rqqgc.
0
Two letters picked without replacement from ccrr. Give prob of sequence cc.
1/6
Calculate prob of sequence wt when two letters picked without replacement from zfwwttwwttt.
2/11
Calculate prob of sequence llw when three letters picked without replacement from {l: 2, w: 2}.
1/6
Three letters picked without replacement from yffyffffyyf. What is prob of sequence yyy?
4/165
Three letters picked without replacement from {v: 3, w: 3, z: 5, x: 1, k: 1}. Give prob of sequence zxv.
5/572
Two letters picked without replacement from gwllbugclgullulu. What is prob of sequence gc?
1/80
Two letters picked without replacement from ppn. Give prob of sequence pn.
1/3
What is prob of sequence hh when two letters picked without replacement from {h: 2, j: 8}?
1/45
Three letters picked without replacement from uuk. Give prob of sequence kuu.
1/3
What is prob of sequence jrj when three letters picked without replacement from {s: 1, f: 1, r: 1, j: 2, b: 2}?
1/105
Four letters picked without replacement from {x: 3, y: 2, s: 7}. Give prob of sequence xssx.
7/330
Calculate prob of sequence lp when two letters picked without replacement from {l: 1, p: 12}.
1/13
Calculate prob of sequence vv when two letters picked without replacement from aavvavv.
2/7
Three letters picked without replacement from {q: 1, n: 2, j: 3, y: 6, m: 2}. What is prob of sequence ynn?
1/182
Four letters picked without replacement from {c: 2, j: 4, a: 2, i: 3, v: 3, n: 2}. What is prob of sequence vnin?
3/7280
Two letters picked without replacement from {n: 5, i: 1, z: 4, j: 1, l: 5}. What is prob of sequence zn?
1/12
What is prob of sequence bbbb when four letters picked without replacement from {b: 9, o: 2}?
21/55
Calculate prob of sequence llr when three letters picked without replacement from lllrrlr.
6/35
What is prob of sequence nnnb when four letters picked without replacement from {b: 3, n: 4}?
3/35
What is prob of sequence oo when two letters picked without replacement from {n: 5, o: 2, e: 1, t: 3, g: 1}?
1/66
What is prob of sequence mx when two letters picked without replacement from xbbtnbxxxmxxnbbnt?
3/136
Three letters picked without replacement from {c: 3, h: 16, a: 1}. What is prob of sequence cah?
2/285
What is prob of sequence zaaa when four letters picked without replacement from aazaazaazaa?
7/55
Three letters picked without replacement from xznaznxanznasrrzzz. Give prob of sequence asa.
1/816
Calculate prob of sequence tph when three letters picked without replacement from {p: 1, b: 3, h: 7, t: 1}.
7/1320
Two letters picked without replacement from mfmhmmhmllhmghlhgdd. What is prob of sequence ml?
1/19
What is prob of sequence zzii when four letters picked without replacement from {z: 4, a: 6, i: 10}?
3/323
Four letters picked without replacement from sfsssssttwftttstlt. Give prob of sequence ltfw.
7/36720
What is prob of sequence ken when three letters picked without replacement from nkcteuknuuktttutntue?
1/380
Calculate prob of sequence ytyt when four letters picked without replacement from yyyytyyyyyttyyyy.
3/140
What is prob of sequence bb when two letters picked without replacement from bxbbbbx?
10/21
Four letters picked without replacement from {d: 1, i: 1, h: 9}. What is prob of sequence hhdh?
7/110
Two letters picked without replacement from rrrrrrcrcrrcrr. What is prob of sequence cr?
33/182
Two letters picked without replacement from gyf. Give prob of sequence yf.
1/6
Calculate prob of sequence eu when two letters picked without replacement from {m: 1, p: 2, u: 6, e: 3, o: 5, g: 3}.
9/190
Calculate prob of sequence vf when two letters picked without replacement from {v: 17, f: 2}.
17/171
Calculate prob of sequence hwss when four letters picked without replacement from mwhxhmfwwmffwsmmhswh.
1/2907
Two letters picked without replacement from {m: 1, b: 1, y: 12, h: 1}. Give prob of sequence my.
2/35
Calculate prob of sequence fr when two letters picked without replacement from ssffsfrff.
5/72
Calculate prob of sequence mmb when three letters picked without replacement from {m: 3, b: 4, k: 6, y: 2}.
4/455
Calculate prob of sequence gal when three letters picked without replacement from wlaalaaguaagl.
3/143
What is prob of sequence qaa when three letters picked without replacement from qqaaaaqqaa?
1/6
What is prob of sequence vy when two letters picked without replacement from cyyyv?
3/20
Two letters picked without replacement from {y: 1, c: 3, e: 1, j: 1, h: 1}. What is prob of sequence ye?
1/42
Four letters picked without replacement from tmffttmmmtmmffm. Give prob of sequence fmff.
1/195
What is prob of sequence mjmj when four letters picked without replacement from zmjmjjjmzjzjmmjmzjzm?
98/4845
What is prob of sequence mm when two letters picked without replacement from hehimmki?
1/28
What is prob of sequence xsq when three letters picked without replacement from sqxsxxx?
4/105
What is prob of sequence xl when two letters picked without replacement from {n: 3, u: 4, g: 7, l: 1, c: 2, x: 1}?
1/306
Three letters picked without replacement from slllssl. Give prob of sequence lsl.
6/35
What is prob of sequence yppq when four letters picked without replacement from {m: 2, g: 7, q: 3, p: 5, y: 3}?
1/646
Three letters picked without replacement from wjzwwcccwz. What is prob of sequence wwz?
1/30
Three letters picked without replacement from {l: 6, g: 1, k: 2, h: 2, f: 3}. Give prob of sequence hll.
5/182
Two letters picked without replacement from bpnbgsaga. Give prob of sequence sp.
1/72
Two letters picked without replacement from {v: 1, o: 1, t: 5, h: 7}. What is prob of sequence to?
5/182
What is prob of sequence oc when two letters picked without repl | {
"pile_set_name": "DM Mathematics"
} |
14 + 17 - a. Let m(o) = -3*o**2 + 3*o. Let j be 1*(-1*2)/2. Give i*y(s) + j*m(s).
3*s**2 - s
Let a(m) be the third derivative of m**5/20 + 7*m**4/24 + 5*m**3/6 + 32*m**2 - 5. Let f(b) = 10*b**2 + 21*b + 16. Calculate -7*a(k) + 2*f(k).
-k**2 - 7*k - 3
Suppose 14 = 3*z + 8. Let h(b) = -3*b - 2. Let s be 116/10 - (-30)/(-50). Let y(q) = q**2 + 16*q + 11. Calculate s*h(c) + z*y(c).
2*c**2 - c
Let r(w) = -6*w**2 + 1892*w + 3. Let n(m) = m**2 - m. What is -5*n(k) - r(k)?
k**2 - 1887*k - 3
Let c(a) = 2*a + 7. Let u(b) = -2*b - 6. Let n(x) = -6*x**2 - 83*x + 327. Let d be n(-17). What is d*u(q) + 3*c(q)?
-2*q - 3
Let o = 434 - 428. Let i(w) = -w - 3. Let u(b) = -4*b - 13. Let h(z) = -2*z**2 - 6*z - 6. Let c be h(-5). Calculate c*i(l) + o*u(l).
2*l
Let l(g) = 5*g. Let k be (1 + 59)*(-274)/(-411). Let z(u) = 41*u. Calculate k*l(i) - 5*z(i).
-5*i
Let q(b) = 233*b + 18. Let n(i) = -3*i + 10. Determine -2*n(h) + q(h).
239*h - 2
Let u(p) = -3*p + 6*p**2 + 0*p - 6 - 4*p**2. Let d(g) be the second derivative of g**4/12 - g**3/3 - 2*g**2 - 1558*g. What is 8*d(r) - 5*u(r)?
-2*r**2 - r - 2
Let n(w) = -6*w + 9. Suppose -2*g + 5*d = -328 + 120, 3*d = -3*g + 270. Let q = 88 - g. Let l(s) = 5*s - 8. What is q*n(y) - 7*l(y)?
y + 2
Let f = -6795 + 6811. Let b(n) = 25*n + 7. Let o(s) = -74*s - 22. Determine f*b(l) + 5*o(l).
30*l + 2
Suppose 27*r - 9 = 72. Let o(b) = b**2. Let l(z) = -8*z**3 - 5*z**2. What is r*l(i) + 15*o(i)?
-24*i**3
Let f(o) = 21*o**2 - 8*o - 120. Let s(k) = -45*k**2 + 21*k + 239. Give 5*f(u) + 2*s(u).
15*u**2 + 2*u - 122
Let f(i) = 23 - 13 + 172*i - 10 - 173*i. Let m(x) = -x. Let w be (-3)/4 + (-15)/12. Calculate w*f(q) + 5*m(q).
-3*q
Let s(l) = 79*l - 6875. Let j be s(87). Let h(q) = 2*q**2 + 2*q - 7. Let w(v) = -2*v**2 - 2*v + 7. What is j*h(b) - 3*w(b)?
2*b**2 + 2*b - 7
Let p(f) = 7*f**2 - 33*f. Let t(h) = 12*h**2 - 62*h + 2. What is -5*p(s) + 3*t(s)?
s**2 - 21*s + 6
Let x(n) = 2*n - 5 - 2*n + 3*n - 2*n. Let z be x(11). Let d(s) = 3 - 13 + 4 + 2 + 2*s - 1. Let f(q) = -2*q + 4. Give z*f(u) + 5*d(u).
-2*u - 1
Let s(l) = -32*l - 8. Let u(k) = 2 - 431*k + 866*k - 427*k. Determine 2*s(c) + 9*u(c).
8*c + 2
Let d(t) = 6*t**3 - 3*t**2 - t - 1. Let l(i) = -26*i**3 + 9*i**2 + 5*i + 119. Determine 3*d(p) + l(p).
-8*p**3 + 2*p + 116
Let h(r) = 58*r + 31. Let o(l) = -21*l - 14. Let w(n) = 2*h(n) + 5*o(n). Let y(d) = 4*d - 3. Determine 3*w(f) - 8*y(f).
f
Let w(x) = 749*x + 11 - 1497*x + 9 + 747*x. Let j(t) = t - 20. Give 5*j(h) + 4*w(h).
h - 20
Let h(p) = -21*p**2 - 3*p + 5. Let z(n) = -25*n**2 - 3*n + 5. Calculate -5*h(i) + 4*z(i).
5*i**2 + 3*i - 5
Let p(q) be the second derivative of 3*q**5/10 + 17*q**4/12 - 2*q**3 + 17*q**2/2 - 88*q + 3. Let l(o) = -o**3 - 3*o**2 + 2*o - 3. Calculate 34*l(d) + 6*p(d).
2*d**3 - 4*d
Let n(o) = -6*o**2 + 7. Suppose 3*r = -57*t + 55*t + 10, 2*t - 24 = 4*r. Let p(d) = -12*d**2 - 4*d**2 + 17*d**2 - 1. Give r*n(w) - 14*p(w).
-2*w**2
Let i(m) = -m + 1. Let c(y) = -y. Let w = -26739 - -26743. Give w*i(b) - 5*c(b).
b + 4
Let x(c) = -2*c**3 + 3*c + 2. Let y(j) = -4*j**3 + 2*j + 3. Calculate -3*x(n) + 2*y(n).
-2*n**3 - 5*n
Let s(x) = -5*x + 1. Let c(t) be the second derivative of -3*t**3/2 + t**2 + 10348*t. Calculate 6*c(k) - 11*s(k).
k + 1
Let j be -4 + 140/21*(-204)/(-5). Let k = -266 + j. Let i(v) = v - 56. Let z(a) = 11. Give k*i(b) + 11*z(b).
2*b + 9
Let i = -3 - 2. Let s(n) = -8*n**3 - n**2 - 7*n + 5. Let u(d) = -762*d + 18287. Let l be u(24). Let z(y) = y**3 + y - 1. What is i*z(g) + l*s(g)?
3*g**3 + g**2 + 2*g
Let w = 29 - 25. Let o(f) = -f**2 - f - w*f + 6*f. Let i(g) = -g**2 + 2*g + 0 + 1 + g**3 - g. Calculate 2*i(c) - 2*o(c).
2*c**3 + 2
Let d(u) = 2*u**3 - 3040*u**2 - 11*u - 11. Let q(o) = -o**3 + 1520*o**2 + 6*o + 6. What is -6*d(x) - 11*q(x)?
-x**3 + 1520*x**2
Let y(f) = -2*f**2 + 2*f + 2. Let h(l) = -125*l**2 + 9*l + 10. Calculate -2*h(z) + 10*y(z).
230*z**2 + 2*z
Let k(i) = 15*i**3 - 11*i**2 - 2*i - 8. Let o(x) = -74*x**3 + 59*x**2 + 11*x + 43. Give -11*k(m) - 2*o(m).
-17*m**3 + 3*m**2 + 2
Let s(w) = 3422*w**2 - 20. Let h(y) = -1139*y**2 + 7. What is -17*h(c) - 6*s(c)?
-1169*c**2 + 1
Let h(m) = 3*m**2 - 2. Let w(r) = 6*r**2 - 5. Suppose -129*n + 122*n = 546. Let k be n/52 + 1 + (-9)/2. What is k*h(d) + 2*w(d)?
-3*d**2
Suppose 292*t - 113*t + 95*t + 104*t = -756. Let a(g) = g + 2. Let u(p) = p + 5. Let h(d) = 2*d + 11. Let q(j) = -4*h(j) + 9*u(j). Calculate t*q(x) + 3*a(x).
x + 4
Let f(n) = 170*n + 27. Let j(x) = -18*x - 4. Give f(l) + 8*j(l).
26*l - 5
Let z(y) = -145*y**2 + 2*y + 25. Let n(a) = -290*a**2 + 4*a + 62. Calculate 2*n(b) - 5*z(b).
145*b**2 - 2*b - 1
Let p(q) = -8*q**3 - 4*q**2 + 57*q + 4. Let u(f) = 13*f**3 + 9*f**2 - 115*f - 9. Calculate -9*p(h) - 4*u(h).
20*h**3 - 53*h
Let d(f) = -2*f**3 - 3*f**2 + 2*f**2 + f**3 - 1. Let n be ((-8262)/187 - -39) + (-2)/(-11). Let j(g) = g**3 + 2*g**2 + 2. Give n*j(w) - 10*d(w).
5*w**3
Let p(j) be the second derivative of -j**3/6 - 4*j**2 + 762*j. Let z(o) = -o - 15. Give -5*p(x) + 3*z(x).
2*x - 5
Let m(s) = 3*s**2 + 2*s + 2. Let u(a) be the third derivative of a**5/60 + a**4/24 + 8*a**2. Let f(q) = -179*q + 5366. Let x be f(30). What is x*u(v) + m(v)?
-v**2 - 2*v + 2
Let l(h) = h**3 - h**2. Let u(i) = -9*i**3 + 5*i**2 - 3*i - 1. Suppose -4*b - 16 = 0, -p - 21*b = -26*b - 25. Give p*l(n) + u(n).
-4*n**3 - 3*n - 1
Let v be 473/88 + (9/(-24))/1. Let w(u) = -2*u**2 + 13*u - 8. Let m be w(v). Let j(i) = 9*i**2 - 8*i + 1. Let n(h) = -10*h**2 + 9*h - 1. Give m*j(z) + 6*n(z).
3*z**2 - 2*z + 1
Let m(v) be the third derivative of -13*v**5/60 + v**3 - 46*v**2. Suppose 3*h = 4*t + 8, 9 + 11 = 5*h. Let i(n) = -n**2 + 1. Give t*m(j) - 6*i(j).
-7*j**2
Let u(g) = -2*g**2 + 10*g. Let y(h) be the third derivative of h**4/24 - 1299*h**2 - h. Suppose 3 = -o + 4. Determine o*u(x) - 12*y(x).
-2*x**2 - 2*x
Let b(i) = -16 - 8*i + 1828*i**2 - 905*i**2 - 905*i**2 + 9 + i. Let z(j) be the first derivative of 3*j**3 - 2*j**2 - 4*j - 2. Determine -4*b(f) + 7*z(f).
-9*f**2
Let b(j) be the first derivative of -259*j**2 + 292. Let t(g) = -61*g. Determine -5*b(f) + 42*t(f).
28*f
Let p(g) = g + 4. Let l(n) = 400*n - 22. What is l(k) + 5*p(k)?
405*k - 2
Let r(c) be the second derivative of -17*c**5/20 - 7*c**4/4 - 3*c**3/2 + 17*c**2/2 + 10*c + 51. Let o(i) = -4*i**3 - 5*i**2 - 2*i + 4. What is 9*o(y) - 2*r(y)?
-2*y**3 - 3*y**2 + 2
Let x(w) = 130*w**3 - 2*w - 1. Let s(z) = 387*z**3 - 7*z - 3. Determine 4*s(t) - 14*x(t).
-272*t**3 + 2
Let a(p) = -5*p**3 - 9*p**2 - 2*p - 12. Let u(c) = 6*c**3 + 12*c**2 + 2*c + 6. Determine -4*a(n) - 3*u(n).
2*n**3 + 2*n + 30
Let w(i) = 28010*i + 11. Let r(h) = 6999*h + 3. What is -11*r(g) + 3*w(g)?
7041*g
Let h(j) = -6 - 6*j + 0 - 3 + 2. Let s = -26680 + 26686. Let d(k) = -7*k - 8. Determine s*h(t) - 5*d(t).
-t - 2
Let m(k) be the first derivative of 2*k**4 + 16*k**3 - 17*k**2/2 - 1295. Let g(z) = -2*z**3 - 12*z**2 + 4*z. Calculate 9*g(h) + 2*m(h).
-2*h**3 - 12*h**2 + 2*h
Let n(b) = -b - 1. Let o(u) = -13*u**2 - u - 2. Let k be 5*5/20 + (3/4 - 3). Determine k*o(i) + 3*n(i).
13*i**2 - 2*i - 1
Let g(u) = 2*u**3 - 4*u - 4. Let v(k) = -2*k**3 + 3*k - 9*k**2 + 9*k**2 + 193 - 190. Determine -3*g(f) - 4*v(f).
2*f**3
Let r(c) = 10*c + 4. Let n be (-72)/16*30/(-27). Suppose 5*p + 3*f + n = 0, -f - 9 + 6 = 2*p. Let j(t) = -t - 1. Determine p*j(z) - r(z).
-6*z
Let y(x) = -119*x**3 - x**2 + 15*x + 9. Let v(z) = -596*z**3 - 5*z**2 + 80*z + 46. Give -3*v(c) + 16*y(c).
-116*c**3 - c**2 + 6
Let g(w) = 20*w**2 + 3*w - 3. Let h(d) = -25*d**2 + 72*d + 8. Let i(a) = 26*a**2 - 91*a - 9. Let y(b) = 5*h(b) + 4*i(b). What is 4*g(l) + 3*y(l)?
17*l**2
Let g(f) = 9*f - 8*f**3 - 43*f**3 - 9 + 2*f**3 - 9*f**2 + 0*f**2 + 12*f**3. Let u(x) = 18*x**3 + 4*x**2 - 4*x + 4. Give -4*g(y) - 9*u(y).
-14*y**3
Let a(b) = 799*b**2 - 135*b - 9. Let f(c) = -399*c**2 + 59*c + 4. What is 4*a(d) + 9*f(d)?
-395*d**2 - 9*d
Let l(z) = -1266*z**2 + 18*z - 36. Let t(d) = -362*d**2 + 5*d - 10. Give -5*l(v) + 18*t(v).
-186*v**2
Let y(s) = -5*s - 3. Let v(f) = f**3 - 6*f + 9. Suppose -3*n = -13 + 7. Let w be v(n). Let j(l) = -4*l - 2. What is w*y(k) - 6*j(k)?
-k - 3
Let p(z) = -77928334*z**2 + 34446*z. Let n(w) = -11312*w**2 + 5*w. Calculate -34446*n(h) + 5*p(h).
11482*h**2
Let o(z) = -3*z - 6. Let v(b) = 146 - 73 - 72. Calcul | {
"pile_set_name": "DM Mathematics"
} |
ve.
i**(1957/234)
Simplify (m**(2/19))**(-21) assuming m is positive.
m**(-42/19)
Simplify w**(-9/2)*w/w**(-21) assuming w is positive.
w**(35/2)
Simplify ((k*k**(-4/9))/(k/(k/(k*k**13/k))))**(-3/11) assuming k is positive.
k**(112/33)
Simplify s**6/s*s**(-1/4)*(s*s**0)**(1/27) assuming s is positive.
s**(517/108)
Simplify (x**(-1/22)*x)/(x**(-2/33)*x) assuming x is positive.
x**(1/66)
Simplify (u*u**(-2/7))**(-5/9)/((u**(-4/7)*u)/u**(5/6)) assuming u is positive.
u**(1/126)
Simplify ((v**(-1/31)/v*v)/v*v)/(v*v**(-1/8)*v) assuming v is positive.
v**(-473/248)
Simplify (o*o**(6/25))**19 assuming o is positive.
o**(589/25)
Simplify i**(1/6)/(i*i**11)*(i**3)**2 assuming i is positive.
i**(-35/6)
Simplify ((m*m**5/m)/m**(1/5))/((m**(2/17)*m)/m**(1/4)) assuming m is positive.
m**(1337/340)
Simplify ((b*b**(-2/19))/b**(-19))**(-2/5) assuming b is positive.
b**(-756/95)
Simplify (g**(-3/5))**49 assuming g is positive.
g**(-147/5)
Simplify (i**1/((i*i*i**(-3/5))/i))/(i/(i/i**(-2/7)))**(-8/9) assuming i is positive.
i**(109/315)
Simplify (v*v**1)**2/(v*v*v*v*v**(2/9)/v*v*v**5) assuming v is positive.
v**(-47/9)
Simplify (((p*(p/(p/p**(-1/7)))/p)/p)/p**(6/5))**(-1/11) assuming p is positive.
p**(82/385)
Simplify (s**(-1/4))**(28/5) assuming s is positive.
s**(-7/5)
Simplify h**5/h**(-11) assuming h is positive.
h**16
Simplify (t*t/(t*t**38)*t)/((t/(t/(t/(t**6/t))))/t*t) assuming t is positive.
t**(-32)
Simplify ((i**(1/4))**(-22))**44 assuming i is positive.
i**(-242)
Simplify (c**(-6/7)*c**(-12))**(1/7) assuming c is positive.
c**(-90/49)
Simplify ((u**(-14)/u)/(u*u/(u**(3/4)/u)))**(-37) assuming u is positive.
u**(2553/4)
Simplify (w**(-9)*w)/w**(-1) assuming w is positive.
w**(-7)
Simplify (u**(1/3)*(((u*u/(u/u**(-20)*u*u)*u)/u)/u)/u)**(-1/16) assuming u is positive.
u**(17/12)
Simplify l**(-5/4)*l/(l**3/l)*l assuming l is positive.
l**(-5/4)
Simplify (k**(-2)*k)**(-2/27) assuming k is positive.
k**(2/27)
Simplify (f**(-5)*f**(3/4))**(-3/25) assuming f is positive.
f**(51/100)
Simplify ((y/y**(2/9))/(y*y**(2/7)*y))/(y/((y/y**(-1))/y))**(-14/3) assuming y is positive.
y**(-95/63)
Simplify (j*j**(2/17)*j)/(j*j*j**(1/5)) assuming j is positive.
j**(-7/85)
Simplify ((d**(-20)*d*d*d)/d)/d**(-28) assuming d is positive.
d**10
Simplify ((x**(-3))**(-3/35))**37 assuming x is positive.
x**(333/35)
Simplify (u**(-16)*u)/(u*u**4*u*u) assuming u is positive.
u**(-22)
Simplify ((((v**(1/40)*v)/v*v)/v)/v*v*v*v*v)**(-42) assuming v is positive.
v**(-2541/20)
Simplify (r*r**(-16)*r)**28 assuming r is positive.
r**(-392)
Simplify z**(-4)*z*z/(z*z**(-6/5)*z) assuming z is positive.
z**(-14/5)
Simplify l**(-18/11)*l**(-2/23) assuming l is positive.
l**(-436/253)
Simplify (v/(v/(v*v*v*(((((v*v*(v**(-2/9)*v)/v)/v)/v*v)/v)/v*v)/v*v*v)))**(-39) assuming v is positive.
v**(-442/3)
Simplify (a/((a*(a/(a**2*a))/a)/a))/(a*a**(1/4)*a)*(a**(2/5))**(-2/3) assuming a is positive.
a**(89/60)
Simplify (w**3)**(-24) assuming w is positive.
w**(-72)
Simplify ((((w/(w**4*w))/w)/w)/((w**(-3/4)/w)/w))/(w**(-1/2))**(-13/5) assuming w is positive.
w**(-91/20)
Simplify (o*o**4*o)/((o/o**0*o)/o)*(o**0)**(-50) assuming o is positive.
o**5
Simplify (a*a/(a/(a*a*(a*a*a**(-2)/a*a)/a*a))*a*a*a)**14 assuming a is positive.
a**84
Simplify (d/(d**(-19)/d))/(d/(d**(-13/5)*d*d*d*d)) assuming d is positive.
d**(107/5)
Simplify w/(w/(w**(2/7)/w))*(w*w/(w*w**(-1/11)))/w*((((w*w**(3/4)*w*w)/w)/w)/w)/(w*w**(-1/2)) assuming w is positive.
w**(-115/308)
Simplify ((n*n*n**(-1/14)/n)/n)/(n/(n**(-3)*n)) assuming n is positive.
n**(-43/14)
Simplify (n*n/(n*n**(-5)/n)*n*n**(3/7))/(n*n*n**(3/7)*n**(-5/3)) assuming n is positive.
n**(23/3)
Simplify (w**(-1/2))**(-2/75) assuming w is positive.
w**(1/75)
Simplify (m*m/((m*(m*m/m**(-3))/m*m*m*m*m)/m)*m**(-1/2))/((m*m**(-6/13))/(m/m**4)) assuming m is positive.
m**(-261/26)
Simplify (n**4/n*((n/n**(-4))/n)/n)**(-29/3) assuming n is positive.
n**(-58)
Simplify (c*c**(1/4))**(-22)*c**(-2/35)/c*c*c/c**(3/4) assuming c is positive.
c**(-3823/140)
Simplify (p**(-1/16)/p)/p**(-6) assuming p is positive.
p**(79/16)
Simplify (r**47)**(-26) assuming r is positive.
r**(-1222)
Simplify w**(-3)*w**(-23)*w*w assuming w is positive.
w**(-24)
Simplify q*q**(-1/18)*q*q**2 assuming q is positive.
q**(71/18)
Simplify p/(p*p**(-8)/p)*p*p**0*(p/p**6)/p**2 assuming p is positive.
p**3
Simplify q/q**(-22)*q*q**11 assuming q is positive.
q**35
Simplify ((x**(2/9))**(-27))**15 assuming x is positive.
x**(-90)
Simplify ((c/(c/c**1))/c*c)/c**(-19/4) assuming c is positive.
c**(23/4)
Simplify (x**1/x)**(-10)*(x**(2/3)/x)**(2/41) assuming x is positive.
x**(-2/123)
Simplify (r*r*(r**(7/5)/r)/r)/(r/r**(-12)) assuming r is positive.
r**(-58/5)
Simplify (a**16)**(1/2) assuming a is positive.
a**8
Simplify m**(2/3)*(m*m**(-39))/m*m assuming m is positive.
m**(-112/3)
Simplify u**(-7)/(((u/u**(-1))/u)/u)*u*u/((u**(-7/5)/u)/u)*u**(-2/17) assuming u is positive.
u**(-146/85)
Simplify u**5*u*u/(u*u**(-2/11))*u*u*u**5*u*u**(2/13)/u assuming u is positive.
u**(1907/143)
Simplify (m*m**(-5/3)*m**(3/8))**(-4/37) assuming m is positive.
m**(7/222)
Simplify (k**(-2/7)*k*k*k/((k**1/k*k*k)/k))/(k/((k/(k*k**(-2)*k))/k)*k**(-2/11)) assuming k is positive.
k**(69/77)
Simplify k/k**36*k**(3/5)/k assuming k is positive.
k**(-177/5)
Simplify (((s**14*s)/s)/(s*s**13))**(-7/2) assuming s is positive.
1
Simplify ((i/(i*i**0*i*i)*i)**(-2/57))**(-39) assuming i is positive.
i**(-26/19)
Simplify (i*i**(-11))/i*i**(4/3) assuming i is positive.
i**(-29/3)
Simplify (g*g**(-2/7))**19 assuming g is positive.
g**(95/7)
Simplify (j**11*(j**(6/7)*j)/j)**16 assuming j is positive.
j**(1328/7)
Simplify ((x/x**(-2/17))/(((x*x/x**(-2/9))/x)/x))**(2/11) assuming x is positive.
x**(274/1683)
Simplify (t*t**(-10))**(4/7) assuming t is positive.
t**(-36/7)
Simplify ((z**(-2/13))**12)**(-5/7) assuming z is positive.
z**(120/91)
Simplify y**(-5/9)*y/(y/(y*y**(3/5)*y)) assuming y is positive.
y**(92/45)
Simplify (x*x**(2/9))/x**(7/5) assuming x is positive.
x**(-8/45)
Simplify (v*v/(v**(-33)/v*v)*v)/(v*v**(-4/21)) assuming v is positive.
v**(739/21)
Simplify (s**(-7)/s**(-2))/(((s**(-1/2)/s)/s)/(s**(-1)*s)) assuming s is positive.
s**(-5/2)
Simplify (z*z*z*z*z/(z**(-2/7)/z)*z)**(19/2)/(z*z*z**(-1)*z**(5/3)) assuming z is positive.
z**(2795/42)
Simplify ((i**2)**35)**42 assuming i is positive.
i**2940
Simplify ((n/n**9*n)/(n*n/(n*n/(n*n*n*n/(n**(5/2)/n)*n*n))))**(-6) assuming n is positive.
n**69
Simplify (l*l/(l*l**(-1/11)*l*l))/l**(-6)*l**(-1/10)/(l*l/((l**(-4/7)*l)/l)) assuming l is positive.
l**(1863/770)
Simplify (c*c**(-44)/c*c)/c*c*c**(-3/10) assuming c is positive.
c**(-433/10)
Simplify (i**(-7/3)/i)**27 assuming i is positive.
i**(-90)
Simplify (a**(-10))**(12/19) assuming a is positive.
a**(-120/19)
Simplify ((w*w**8)/(w*w*w**(-1/12)))/(w**(1/5)*w*w**5/w) assuming w is positive.
w**(113/60)
Simplify ((((f*f**(1/9))/f)/f)/(f*f**(-6)))**(10/7) assuming f is positive.
f**(370/63)
Simplify ((((((a*a*a*a*a*a*a**(2/7)/a*a*a)/a)/a)/a)/a)**(27/5))**(1/40) assuming a is positive.
a**(621/1400)
Simplify ((h**(-2)*h)/h)**(13/8)*((h**(-1/4)*h)/h)/(h*(h*(h/(h/(h**(2/9)*h)))/h)/h) assuming h is positive.
h**(-85/18)
Simplify (d/d**(-9/5))**(-48) assuming d is positive.
d**(-672/5)
Simplify (((r*r**(-12)/r)/r*r)/r**(-1/4))**(-3/14) assuming r is positive.
r**(141/56)
Simplify (b**12/b)**16 assuming b is positive.
b**176
Simplify (u*u**6)/u*u/u**(2/13) assuming u is positive.
u**(89/13)
Simplify l**(-1/49)*l*l**(-12/13) assuming l is positive.
l**(36/637)
Simplify (w**(-3)/w**(4/7))/(((w*w/(w/(w/(w*w/w**1*w))))/w)/w*w*w*w*((w**(2/13)*w)/w*w)/w) assuming w is positive.
w**(-430/91)
Simplify l/l**9*l*l*l**5 assuming l is positive.
1/l
Simplify (s*s*s/(s/((s/(s*(s/(s/(s*(s/s**1)/s)))/s*s))/s)))**12/((s/(s*s*s*s*s/(s**0*s)*s*s))/s**(-2/7)) assuming s is positive.
s**(117/7)
Simplify ((a**(8/9)*a*a)/a)/a**(-15) assuming a is positive.
a**(152/9)
Simplify (m**(3/2)/m**(6/5))/(m*m**(-2))**(-9/5) assuming m is positive.
m**(-3/2)
Simplify (m*m**8*m*m**(3/7))/(m*m*m**(1/10)*m*((m/(m/m**(-1/6)))/m)/m) assuming m is positive.
m**(997/105)
Simplify ((k/((k/(k*k/(k/(k**31*k))))/k))/k)**(16/9) assuming k is positive.
k**(176/3)
Simplify (i/i**(-2/3))**(-2/25 | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 29973.
3, 97, 103
What are the prime factors of 3026?
2, 17, 89
What are the prime factors of 713?
23, 31
What are the prime factors of 10713?
3, 3571
What are the prime factors of 63?
3, 7
What are the prime factors of 7914?
2, 3, 1319
List the prime factors of 32045.
5, 13, 17, 29
List the prime factors of 4062.
2, 3, 677
What are the prime factors of 128355?
3, 5, 43, 199
List the prime factors of 1734.
2, 3, 17
What are the prime factors of 34450?
2, 5, 13, 53
What are the prime factors of 4042?
2, 43, 47
What are the prime factors of 6914?
2, 3457
What are the prime factors of 1666?
2, 7, 17
List the prime factors of 20430.
2, 3, 5, 227
List the prime factors of 1647.
3, 61
What are the prime factors of 105173?
105173
What are the prime factors of 1259?
1259
List the prime factors of 4470.
2, 3, 5, 149
List the prime factors of 460.
2, 5, 23
What are the prime factors of 19518?
2, 3, 3253
List the prime factors of 50812.
2, 12703
List the prime factors of 1250.
2, 5
What are the prime factors of 3516?
2, 3, 293
List the prime factors of 435.
3, 5, 29
List the prime factors of 308.
2, 7, 11
List the prime factors of 1448.
2, 181
What are the prime factors of 5759?
13, 443
List the prime factors of 10438.
2, 17, 307
List the prime factors of 16838.
2, 8419
What are the prime factors of 15299?
15299
List the prime factors of 31196.
2, 11, 709
List the prime factors of 873.
3, 97
What are the prime factors of 684?
2, 3, 19
List the prime factors of 2398.
2, 11, 109
What are the prime factors of 2001?
3, 23, 29
What are the prime factors of 131603?
101, 1303
List the prime factors of 3605.
5, 7, 103
List the prime factors of 26066.
2, 13033
List the prime factors of 14392.
2, 7, 257
What are the prime factors of 10968?
2, 3, 457
What are the prime factors of 29259?
3, 3251
List the prime factors of 132642.
2, 3, 7369
List the prime factors of 863.
863
What are the prime factors of 97116?
2, 3, 8093
What are the prime factors of 8494?
2, 31, 137
List the prime factors of 1146.
2, 3, 191
List the prime factors of 1736.
2, 7, 31
What are the prime factors of 2936?
2, 367
What are the prime factors of 4534?
2, 2267
List the prime factors of 1050.
2, 3, 5, 7
List the prime factors of 1342.
2, 11, 61
List the prime factors of 4226.
2, 2113
What are the prime factors of 49953?
3, 16651
List the prime factors of 12835.
5, 17, 151
What are the prime factors of 101668?
2, 7, 3631
What are the prime factors of 245?
5, 7
What are the prime factors of 10188?
2, 3, 283
What are the prime factors of 23693?
19, 29, 43
What are the prime factors of 11961?
3, 443
List the prime factors of 92.
2, 23
List the prime factors of 349.
349
What are the prime factors of 25709?
47, 547
What are the prime factors of 656?
2, 41
List the prime factors of 2035.
5, 11, 37
What are the prime factors of 670?
2, 5, 67
What are the prime factors of 25335?
3, 5, 563
What are the prime factors of 5315?
5, 1063
List the prime factors of 909.
3, 101
List the prime factors of 1444.
2, 19
What are the prime factors of 10351?
11, 941
What are the prime factors of 29328?
2, 3, 13, 47
What are the prime factors of 2026?
2, 1013
List the prime factors of 57295.
5, 7, 1637
List the prime factors of 11634.
2, 3, 7, 277
List the prime factors of 2435.
5, 487
What are the prime factors of 361?
19
List the prime factors of 3329.
3329
List the prime factors of 13770.
2, 3, 5, 17
List the prime factors of 648.
2, 3
List the prime factors of 1329.
3, 443
List the prime factors of 45434.
2, 22717
List the prime factors of 320.
2, 5
List the prime factors of 1932.
2, 3, 7, 23
What are the prime factors of 4480?
2, 5, 7
List the prime factors of 41913.
3, 4657
What are the prime factors of 15913?
15913
List the prime factors of 2108.
2, 17, 31
What are the prime factors of 1238?
2, 619
What are the prime factors of 1577?
19, 83
List the prime factors of 49094.
2, 24547
What are the prime factors of 34063?
23, 1481
List the prime factors of 1008.
2, 3, 7
What are the prime factors of 416?
2, 13
What are the prime factors of 19215?
3, 5, 7, 61
What are the prime factors of 27570?
2, 3, 5, 919
List the prime factors of 146123.
47, 3109
What are the prime factors of 506?
2, 11, 23
List the prime factors of 68494.
2, 23, 1489
What are the prime factors of 2148?
2, 3, 179
What are the prime factors of 5181?
3, 11, 157
What are the prime factors of 162349?
11, 14759
List the prime factors of 3049.
3049
List the prime factors of 4958.
2, 37, 67
List the prime factors of 41293.
7, 17, 347
What are the prime factors of 293?
293
List the prime factors of 7095.
3, 5, 11, 43
What are the prime factors of 721?
7, 103
List the prime factors of 7310.
2, 5, 17, 43
What are the prime factors of 5807?
5807
What are the prime factors of 1210?
2, 5, 11
List the prime factors of 11028.
2, 3, 919
List the prime factors of 1071.
3, 7, 17
List the prime factors of 7411.
7411
What are the prime factors of 9988?
2, 11, 227
List the prime factors of 110539.
11, 13, 773
List the prime factors of 1498.
2, 7, 107
What are the prime factors of 68854?
2, 173, 199
List the prime factors of 30381.
3, 13, 19, 41
List the prime factors of 55.
5, 11
List the prime factors of 1162.
2, 7, 83
List the prime factors of 3990.
2, 3, 5, 7, 19
What are the prime factors of 3428?
2, 857
List the prime factors of 4053.
3, 7, 193
List the prime factors of 19220.
2, 5, 31
What are the prime factors of 8562?
2, 3, 1427
List the prime factors of 69293.
7, 19, 521
List the prime factors of 72628.
2, 67, 271
List the prime factors of 785.
5, 157
What are the prime factors of 10045?
5, 7, 41
List the prime factors of 59.
59
List the prime factors of 27305.
5, 43, 127
List the prime factors of 40458.
2, 3, 11, 613
List the prime factors of 118898.
2, 13, 17, 269
List the prime factors of 41819.
19, 31, 71
What are the prime factors of 8671?
13, 23, 29
What are the prime factors of 3305?
5, 661
What are the prime factors of 8675?
5, 347
What are the prime factors of 1729?
7, 13, 19
What are the prime factors of 5092?
2, 19, 67
What are the prime factors of 4500?
2, 3, 5
What are the prime factors of 66?
2, 3, 11
What are the prime factors of 5881?
5881
List the prime factors of 17504.
2, 547
What are the prime factors of 1871?
1871
What are the prime factors of 4087?
61, 67
List the prime factors of 21447.
3, 2383
List the prime factors of 60545.
5, 12109
What are the prime factors of 6013?
7, 859
List the prime factors of 27870.
2, 3, 5, 929
What are the prime factors of 2651?
11, 241
What are the prime factors of 16637?
127, 131
List the prime factors of 1267.
7, 181
What are the prime factors of 1886?
2, 23, 41
What are the prime factors of 6330?
2, 3, 5, 211
List the prime factors of 2817.
3, 313
What are the prime factors of 13947?
3, 4649
List the prime factors of 10993.
10993
List the prime factors of 4000.
2, 5
List the prime factors of 610.
2, 5, 61
List the prime factors of 7115.
5, 1423
List the prime factors of 13090.
2, 5, 7, 11, 17
List the prime factors of 15088.
2, 23, 41
What are the prime factors of 14755?
5, 13, 227
List the prime factors of 3424.
2, 107
List the prime factors of 7284.
2, 3, 607
What are the prime factors of 12121?
17, 23, 31
What are the prime factors of 7059?
3, 13, 181
What are the prime factors of 14769?
3, 547
What are the prime factors of 54222?
2, 3, 7, 1291
List the prime factors of 85.
5, 17
What are the prime factors of 117553?
19, 23, 269
List the prime factors of 99.
3, 11
List the prime factors of 183285.
3, 5, 4073
What are the prime factors of 2351?
2351
What are the prime factors of 12839?
37, 347
What are the prime factors of 28088?
2, 3511
List the prime factors of 39325.
5, 11, 13
What are the prime factors of 72379?
72379
What are the prime factors of 12055?
5, 2411
What are the prime factors of 14826?
2, 3, 7, 353
List the prime factors of 1401.
3, 467
List the prime factors of 1329.
3, 443
What are the prime factors of 2724?
2, 3, 227
List the prime factors of 9888.
2, 3, 103
List the prime factors of 15218.
2, 7, 1087
List the prime factors of 24158.
2, 47, 257
What are the prime factors of 848?
2, 53
What are the prime factors of 16463?
101, 163
List the prime factors of 3526 | {
"pile_set_name": "DM Mathematics"
} |
9*o(b) - 4*q(b). Differentiate p(c) wrt c.
-34
Let p(f) be the second derivative of -7*f**4/6 - 10*f**2 + 14*f. Differentiate p(r) with respect to r.
-28*r
Let v(g) = g**3 - 5*g**2 + 5*g + 2. Let j be v(4). Let z be j/27 - 4/18. Find the third derivative of o**5 + z*o**4 + 0*o**4 + 2*o**2 wrt o.
60*o**2
Let p(q) be the second derivative of -2*q**4/3 - 5*q**2/2 - 5*q. Differentiate p(c) with respect to c.
-16*c
Let j(s) = -186*s - 43. Let w(l) = 124*l + 29. Let o(g) = 5*j(g) + 8*w(g). What is the derivative of o(m) wrt m?
62
Let i(p) be the first derivative of 7*p**5/60 + p**4/8 - 3*p**2 - 2. Let b(s) be the second derivative of i(s). What is the second derivative of b(d) wrt d?
14
Suppose f - 3*f = -14. What is the third derivative of -26*s + f*s**3 + 26*s + 3*s**2 wrt s?
42
What is the first derivative of 12*y**3 - y - 4*y + 5*y - 8 wrt y?
36*y**2
Let g(b) be the third derivative of -23*b**7/210 + 13*b**3/2 + 44*b**2. Find the first derivative of g(v) wrt v.
-92*v**3
Let f(o) = 3*o**5 + 4*o. Let n(q) = -5*q**5 - 4*q**5 + 2*q**5 + q**5 - 9*q. Let v(r) = 5*f(r) + 2*n(r). Find the second derivative of v(m) wrt m.
60*m**3
Let j(q) be the third derivative of -q**6/12 + q**4/4 - 7*q**2. Find the second derivative of j(s) wrt s.
-60*s
Let g(h) be the first derivative of 0*h**4 - 3/2*h**2 + 4/5*h**5 + 0*h - 2 + 0*h**3. Find the second derivative of g(y) wrt y.
48*y**2
Let u(m) = -m**2 + 11*m - 6. Let s be u(10). What is the first derivative of c + 3 + 7*c**4 - c - 5*c**s wrt c?
8*c**3
Let b(o) be the third derivative of o**10/50400 + o**6/360 - o**5/20 - 4*o**2. Let n(k) be the third derivative of b(k). Differentiate n(y) with respect to y.
12*y**3
Suppose 0 = 3*z + p - 4, 3*p = -5*z + p + 6. Suppose -5*c + 2 = 5*u - 13, 3*c - 3*u = 3. Find the second derivative of -2*k**2 - 2*k**c + k**z + 2*k wrt k.
-6
Let n(s) be the second derivative of -7*s**4/4 - 23*s**3/6 - 11*s. What is the second derivative of n(t) wrt t?
-42
Let m = 0 - -4. What is the second derivative of -p - 2*p**2 - m*p**2 + 3*p wrt p?
-12
Find the second derivative of -d**3 - 31*d**2 + 7*d + 31*d**2 wrt d.
-6*d
Let t(o) = o + 4. Let j(i) = 3*i + 5. Let g(a) = -10*a - 15. Let q(k) = -2*g(k) - 7*j(k). Let l(h) = -5*q(h) - 4*t(h). Differentiate l(u) with respect to u.
1
Let o(q) = -41*q**4 - 3*q**3 + 3*q - 15. Let p(b) = 42*b**4 + 4*b**3 - 4*b + 16. Let c(h) = 4*o(h) + 3*p(h). What is the first derivative of c(r) wrt r?
-152*r**3
Let h(b) be the third derivative of b**7/10 + 7*b**4/12 + 11*b**2. What is the second derivative of h(q) wrt q?
252*q**2
Find the second derivative of -4*w + w - 2*w + 3*w**5 wrt w.
60*w**3
Let j(w) be the third derivative of w**6/40 - 7*w**4/24 + 5*w**2 - 4. Find the second derivative of j(a) wrt a.
18*a
Let o(w) be the first derivative of 0*w**3 + 0*w**5 + 1/6*w**6 + 0*w + 1 - 1/2*w**2 + 0*w**4. Find the second derivative of o(j) wrt j.
20*j**3
Let p be 7/1 - 0/1. What is the second derivative of u**2 - p*u**2 + 2*u - 6*u wrt u?
-12
Let s(q) = -q - 1. Let h(l) = -l - 8. Let z(y) = -3*h(y) + 6*s(y). Find the first derivative of z(m) wrt m.
-3
Find the second derivative of -62*v**2 + 3 - 1 + 7*v - v + 1 wrt v.
-124
Find the second derivative of -275*v - 1 + 1 + 15*v**3 + 293*v wrt v.
90*v
Let a = 4 + -2. Find the third derivative of 2*s + 3*s**2 + a*s**5 + s - 3*s wrt s.
120*s**2
Let z(l) = -8*l**4 - 5*l**2 - 5*l + 9. Let k(w) = -w**4 - w**2 - w. Let n(i) = 5*k(i) - z(i). Differentiate n(d) with respect to d.
12*d**3
Suppose 6 = -5*a + 2*a - 3*l, -12 = 2*a + 4*l. Let m(x) = -x**3 + 3*x**2 - 2. Let p be m(a). Find the second derivative of f + 2*f**2 + f**2 - p*f**2 wrt f.
2
Let k(z) = -z. Let y(l) = -4*l + 6. Let h(u) = k(u) + y(u). Find the first derivative of h(p) wrt p.
-5
Let g(s) be the second derivative of 9*s**6/10 + 2*s**2 - 26*s. Differentiate g(i) wrt i.
108*i**3
Find the third derivative of -28*j**6 + 0*j**6 - 16*j**2 - 8*j**2 wrt j.
-3360*j**3
Suppose -5*s = -10 - 0. Let z(c) be the first derivative of -1/5*c**5 + 0*c**4 + 0*c**3 - c**2 + s + 0*c. What is the second derivative of z(o) wrt o?
-12*o**2
Let l(t) be the third derivative of 0*t + 1/3*t**4 + 0*t**7 - 2*t**2 + 1/168*t**8 + 0*t**6 + 0 + 0*t**3 + 0*t**5. What is the second derivative of l(n) wrt n?
40*n**3
Find the first derivative of -10 + 4*v**2 + 46 - 8*v**2 wrt v.
-8*v
Find the second derivative of -3*k - 16*k**2 + 19*k**2 + 5*k wrt k.
6
Suppose 25 = 5*h + 5. Find the first derivative of -4*c**h - 10 + 3*c**4 + 4*c - 4*c wrt c.
-4*c**3
Find the third derivative of 9*n**2 + 7*n**2 - 37*n**3 + 12*n**2 wrt n.
-222
Let g(h) be the second derivative of -3*h + 1/2*h**3 + 3/2*h**2 + 0. What is the derivative of g(a) wrt a?
3
Let j be 20/(-15)*(-6)/4. Find the first derivative of c + 3 + 2*c + j*c - 2*c wrt c.
3
Let n = -6 + 6. Suppose 0*k + k - 2 = n. Find the third derivative of -8*v**3 - 2*v**2 + 8*v**3 + k*v**6 wrt v.
240*v**3
Let b be (3/5)/(2/10). Let c(h) = h**2 - h - 4. Let w be c(b). Differentiate -6 + 2 + 0*p**2 - 3*p**w wrt p.
-6*p
Find the first derivative of -3*q**4 + 11 - 2*q**4 + 4*q**4 wrt q.
-4*q**3
What is the second derivative of -3 + 10*a - 1 + 4 - a**2 wrt a?
-2
Suppose 0 = -a + 2 - 6. Let i = 6 + a. Differentiate -i + 2*d + 1 - 3*d - d wrt d.
-2
Let c(m) = -1 - 13*m**3 + 5*m**3 + 8 - 6*m - 6*m**2. Let u(k) = -k - 104 + 56 - k**2 + 49 - k**3. Let l(a) = -c(a) + 6*u(a). Differentiate l(i) wrt i.
6*i**2
Let n(g) = -3*g**2 + 2*g + 2*g - 4*g + 4*g**3. Let l(c) = 6*c**3 - 4*c**2. Let d(z) = 5*l(z) - 7*n(z). What is the third derivative of d(b) wrt b?
12
Let k(m) be the second derivative of 0 + 0*m**3 + 0*m**5 + 0*m**2 - m + 1/14*m**8 + 0*m**6 + 1/12*m**4 + 0*m**7. What is the third derivative of k(h) wrt h?
480*h**3
Let n(w) be the first derivative of -7*w**2/2 - 12*w - 8. Differentiate n(h) with respect to h.
-7
Suppose -4*a + 4 = 4*w, 3*w + 4*a + 20 = 5*w. What is the first derivative of -4 - 3 + h**w + 6 + h**4 wrt h?
8*h**3
Let v(f) = f**2 + 2*f. Let i be v(-3). Find the second derivative of -4*l + l**3 - 7*l**i - 2*l wrt l.
-36*l
Let k(u) = 6*u**4 - 3*u**3 + 12*u + 3. Let s(c) = 5*c**4 - 2*c**3 + 13*c + 2. Let y(t) = 2*k(t) - 3*s(t). Find the second derivative of y(h) wrt h.
-36*h**2
Let k(p) = -9*p**3 - 6*p**2 + p. Let f(c) = 8*c**3 + 5*c**2. Let w(u) = 6*f(u) + 5*k(u). Find the second derivative of w(j) wrt j.
18*j
Let d(j) be the second derivative of 0*j**2 + 0*j**5 + 0 + 4*j - 2/21*j**7 + 0*j**6 - 1/12*j**4 + 0*j**3. Find the third derivative of d(v) wrt v.
-240*v**2
Let i(b) be the third derivative of 23*b**6/120 + b**3/2 - 27*b**2. Differentiate i(u) wrt u.
69*u**2
Find the third derivative of 20*g**2 - g**4 + 27*g**4 - 13*g**4 wrt g.
312*g
What is the derivative of 1 + 6*x - 6*x + 0 - 9*x**4 wrt x?
-36*x**3
Let t(p) be the second derivative of 9*p**3/2 - 51*p**2/2 - 5*p - 3. Differentiate t(o) with respect to o.
27
What is the derivative of 13*z**2 - 9 - 7*z**2 + 4*z**2 + 32 wrt z?
20*z
Suppose -21*i + 20 = -17*i. Let y(q) be the first derivative of 0*q + 1/2*q**2 - 1/5*q**i + 0*q**4 - 3 + 0*q**3. What is the second derivative of y(x) wrt x?
-12*x**2
Let b be (-6)/(-10) - 12/20. Find the first derivative of 3 + 0 - g + b*g + 2*g wrt g.
1
Let o(q) be the first derivative of q**4 + 6*q + 2. Find the first derivative of o(x) wrt x.
12*x**2
Let j(y) be the first derivative of -4*y**7/7 + y**5/5 - 13*y**3/3 - y**2 - 53. Find the third derivative of j(o) wrt o.
-480*o**3 + 24*o
Let y = 7 - 5. Let z(v) = -3*v + 1 + 2*v**y - v**2 + 2*v. Let j(k) = 2*k**2 - 2*k + 4. Let u(s) = -j(s) + 4*z(s). What is the second derivative of u(h) wrt h?
4
Let b(n) be the second derivative of 2*n**7/105 - 5*n**3/6 + 9*n**2/2 - 3*n. Let o(y) be the first derivative of b(y). Differentiate o(v) wrt v.
16*v**3
Suppose y + 3*y = 12, 3 = -4*p + 5*y. Let g be (4/(-1) - -5)*3. What is the first derivative of 3*q**p + g - 3*q**3 + q**3 wrt q?
3*q**2
Let b(d) be the first derivative of 43*d**4/4 + 17*d**3/3 + 12. Find the third derivative of b(o) wrt o.
258
Let j(a) = 2*a**2 + a + 1. Let f(x) = 1. Let p = -6 - -8. Let r(z) = p*f(z) - 2*j(z). What is the second derivative of r(s) wrt s?
-8
Let m(i) be the third derivative of 3*i**2 + 1/42*i**7 - 2/3*i**3 + 0*i**6 + 0 + 0*i**5 + 0*i**4 + 0*i. What is the | {
"pile_set_name": "DM Mathematics"
} |
Let x(g) = 6 - g - 1 + 4. Let f be x(7). What is the first derivative of -f*n**3 - n**3 + 0 - 1 + 2 wrt n?
-9*n**2
Let y(s) be the second derivative of -s**11/27720 + s**7/1260 - s**4/12 + s. Let l(n) be the third derivative of y(n). Find the third derivative of l(b) wrt b.
-240*b**3
Let s be 19/7 - 20/(-70). Find the third derivative of 0*l**2 - l**3 + s*l**2 - 5*l**2 - 2*l**2 wrt l.
-6
Suppose -2*a + 0 - 4 = 0. Let w(h) = -h**2 - 3*h + 1. Let k be w(a). What is the first derivative of -1 + 2 - s**3 + 2*s**k wrt s?
3*s**2
Suppose y - 10 = -2*y - 5*x, -3*x = -5*y - 6. Suppose k - 3*k + 4 = y. Find the second derivative of 2*c**k - 1 - 2 + c + 3 wrt c.
4
Let n(r) be the third derivative of -3*r**7/70 + 13*r**4/12 + 24*r**2. Find the second derivative of n(b) wrt b.
-108*b**2
Suppose -3 = -3*y + 2*y. Suppose 0*i = y*i + 9, -5*u - 3*i = -11. What is the derivative of k**2 + 2 - u + 1 wrt k?
2*k
Let a(u) be the third derivative of -u**9/5040 + u**5/60 - 5*u**4/24 - 2*u**2. Let y(h) be the second derivative of a(h). What is the derivative of y(w) wrt w?
-12*w**3
Let n(y) = -81*y**3 + 15*y**2 - 15*y + 60. Let d(g) = 20*g**3 - 4*g**2 + 4*g - 15. Let s(a) = -15*d(a) - 4*n(a). Find the first derivative of s(m) wrt m.
72*m**2
Let d = 5 - 3. What is the third derivative of -g**4 - 5*g**4 - 10*g**2 + 7*g**2 - 3*g**d wrt g?
-144*g
Let o(m) = -m**3 + 18*m**2 - 16*m - 14. Let p be o(17). What is the second derivative of -13*b + b**2 - b**2 + 11*b + 3*b**p wrt b?
18*b
Find the second derivative of -2*s**2 - 6*s**4 + 0*s**2 + 2*s**2 + 5*s wrt s.
-72*s**2
Let c(h) = -3*h - 1. Let a(m) = 7*m + 2. Let y(r) = -3*a(r) - 5*c(r). Find the first derivative of y(n) wrt n.
-6
Let b(q) be the second derivative of 3/2*q**2 + 0*q**3 + 5/6*q**4 - 8*q + 0. Differentiate b(g) wrt g.
20*g
Find the first derivative of 0 + 5*f**3 - 14*f**3 + 1 wrt f.
-27*f**2
Let j(z) be the first derivative of -z**9/504 + z**5/15 - z**2/2 + 2. Let n(r) be the second derivative of j(r). What is the third derivative of n(x) wrt x?
-120*x**3
Let j(p) = -p + 2. Let l(x) = x**4 - 6*x + 11. Let g(y) = 11*j(y) - 2*l(y). What is the second derivative of g(b) wrt b?
-24*b**2
Suppose 5*p - 4 = 16. Find the second derivative of 0*w**3 - 4*w**2 + p*w**2 - 3*w - 3*w**3 wrt w.
-18*w
Find the second derivative of 0*b + 4*b**5 + 4*b + 3*b**5 - 10*b wrt b.
140*b**3
Find the third derivative of -30*y**5 + 7 + 21 - y**2 - 31 - 2*y**4 wrt y.
-1800*y**2 - 48*y
Let b(f) be the first derivative of 3*f**5/5 + 8*f + 1. Differentiate b(k) with respect to k.
12*k**3
Let k(i) be the third derivative of 1/60*i**5 + 0 + 0*i + 0*i**3 - 1/30*i**6 + 4*i**2 + 0*i**4. Find the third derivative of k(c) wrt c.
-24
Let g(s) = -2*s**4 - 2*s**3 + 4*s + 2. Let z(a) = a**4 - a**3 + a + 1. Let q = -4 - -3. Let u(x) = q*g(x) + 2*z(x). Find the second derivative of u(d) wrt d.
48*d**2
Suppose -g + 4 = -4. What is the second derivative of 1 - g*p - 1 + p**2 wrt p?
2
Let u = 7 + -5. Suppose -41*a + 38*a = -6. Find the third derivative of u*x**2 + 8*x**a - x**4 - 12*x**2 wrt x.
-24*x
What is the third derivative of -94*q**2 + 40*q**2 - 6*q**3 + 45*q**2 wrt q?
-36
Let f(z) = z - 11. Let q be f(13). Find the third derivative of -5*m**q + 9*m**5 - 8*m**5 + 0*m**2 wrt m.
60*m**2
Let s(z) be the first derivative of -3*z**5/10 + 5*z**4/12 - z - 7. Let x(c) be the first derivative of s(c). Find the third derivative of x(j) wrt j.
-36
Let y(b) be the second derivative of 2*b**7/21 + 7*b**4/12 + 4*b. What is the third derivative of y(c) wrt c?
240*c**2
Let u(j) = 1. Let q(p) = p + 2. Let y(r) = -3*q(r) - 6*u(r). What is the first derivative of y(n) wrt n?
-3
Let k(j) be the third derivative of -3*j**5/20 + 5*j**3/3 - 4*j**2. Find the first derivative of k(z) wrt z.
-18*z
Find the second derivative of -1 + 4*f + 0 + 1 + 19*f**2 wrt f.
38
Find the first derivative of -4*g**3 - 19*g + 19*g + 2 wrt g.
-12*g**2
Let m(k) be the first derivative of 13*k**6/3 - 23*k**2/2 + 15. What is the second derivative of m(u) wrt u?
520*u**3
Let f(q) be the second derivative of 0*q**2 + 1/30*q**6 - 1/12*q**4 - 4*q + 0 + 0*q**3 + 0*q**5. Find the third derivative of f(d) wrt d.
24*d
Suppose -5*j - j + 24 = 0. Find the first derivative of -5*q**4 + q**4 + j + 8*q**4 wrt q.
16*q**3
Let g(x) = 2*x**3 + x**2. Let z be g(1). Find the third derivative of 4*r**5 - r**2 - z*r**2 + 5*r**2 - 8*r**5 wrt r.
-240*r**2
Let g = 87 + -87. Let y(i) be the second derivative of i + 0*i**3 + 0*i**5 + g*i**4 + i**2 - 1/10*i**6 + 0. Differentiate y(v) with respect to v.
-12*v**3
What is the derivative of 19*d**4 + 53 + d**3 - 38*d**4 - d**3 wrt d?
-76*d**3
Differentiate 48*r**2 - 5*r**4 - r**4 - 51*r**2 + 9*r**4 - 26 with respect to r.
12*r**3 - 6*r
Let w = 3 - 0. Suppose 0*h = 4*h - 24. Find the second derivative of 0*i**w + 3*i**3 - 4*i - h*i**3 + i wrt i.
-18*i
Let a(k) = k**2 - 2*k + 4. Let r = -18 + 14. Let u(m) = m + 1. Let i(t) = r*u(t) + a(t). What is the second derivative of i(y) wrt y?
2
Let s(v) be the second derivative of -v**6/2 + 13*v**3/6 + 13*v. What is the second derivative of s(o) wrt o?
-180*o**2
Let i(s) be the first derivative of -s**5/20 + 3*s**2/2 - 2*s + 1. Let a(x) be the first derivative of i(x). What is the derivative of a(w) wrt w?
-3*w**2
What is the second derivative of 0*j - 25*j - 31*j**4 + 33*j**4 wrt j?
24*j**2
Suppose 0 = a + 2*b - 24, -4*a = -2*a + b - 54. Find the first derivative of 4*p**2 - 28*p - 3*p**2 - 3 + a*p wrt p.
2*p
Let k(a) be the second derivative of a**4/8 - 2*a**3/3 - 7*a**2/2 - 5*a. Let v(c) be the first derivative of k(c). What is the derivative of v(f) wrt f?
3
Find the first derivative of 72 - 2*m - 25 - m + 10*m wrt m.
7
Let x be (0 - 1)/((-2)/6). Suppose -p + 4 + x = 2*r, -2 = -r + p. Find the third derivative of -6*a**2 - 2*a**2 + r*a**3 + 2*a**2 + 3*a**2 wrt a.
18
Let a(p) be the first derivative of -2 - 3/2*p**2 + 0*p + 0*p**3 - 1/2*p**4. Find the second derivative of a(j) wrt j.
-12*j
Let c(p) be the second derivative of -p**5/5 + 3*p**2 - 3*p. Find the first derivative of c(h) wrt h.
-12*h**2
Find the third derivative of -8*h**2 + 19*h**3 + 38*h**3 - 25*h**3 wrt h.
192
Let g be (0 - -3) + -1 + 1. Find the second derivative of s + 2*s + 2*s - g*s**4 + 0*s wrt s.
-36*s**2
Let y(h) be the third derivative of -h**7/30 + 3*h**4/8 + 2*h**2. What is the second derivative of y(p) wrt p?
-84*p**2
Let f(h) be the first derivative of -19*h**5/5 - h**3/3 + 17. Find the third derivative of f(z) wrt z.
-456*z
Let r(d) = d**4 - d**2 - d + 1. Let g(j) = 15*j**4 + 3*j**2 + 3*j + 16. Let q(n) = -2*g(n) - 6*r(n). What is the first derivative of q(a) wrt a?
-144*a**3
Let x(d) = -d - 3*d**2 - 2 - 3*d**2 + 2*d**2. Let m(s) = 2*s + s**2 + 2 - 1 - 2*s. Let k(r) = -2*m(r) - x(r). Find the second derivative of k(j) wrt j.
4
Let z = 7 + -5. Differentiate -z*m**3 + 2 - 3 + 4*m**3 wrt m.
6*m**2
Let t(x) be the second derivative of -2*x**2 + 1/4*x**4 + 0*x**3 + x + 0. What is the first derivative of t(h) wrt h?
6*h
What is the second derivative of -26*z + 10*z - z**4 + 12*z**4 wrt z?
132*z**2
Let o(c) = -13*c**3 + c. Let p be o(-1). Let x be (p/9)/((-4)/(-6)). What is the third derivative of k**3 - k**2 + 2*k**3 + x*k**2 wrt k?
18
Let h(p) be the first derivative of -13*p**4 + 14*p**2 + 11. What is the second derivative of h(x) wrt x?
-312*x
Let i(z) be the second derivative of -4*z + 0 + 1/5*z**5 + 1/3*z**4 + 0*z**2 + 0*z**3. What is the third derivative of i(d) wrt d?
24
Let g(z) = -z**3 + 11*z**2 - z + 14. Let y be g(11). Find the second derivative of -3*c**y + 104*c**2 + 8*c - 104*c**2 wrt c.
-18*c
Let w(u) be the second derivative of u**3/6 + u**2/2 + 5*u. Let q(k) = -k**3 + k - 2. Let h(s) = -q(s) + w(s). Differentiate h(o) with respect to o.
3*o**2
What is the derivative of 12*f**2 - 47*f + 5 + 47*f wrt f?
24*f
Let y be 1 - 0 - (6 - 2). Let d(g) = -5*g**2 + 3*g - 2. Let o(a) = -9*a**2 + 5*a - 4. Let j(k) = y*o(k) + 5*d(k). Find the first derivative of j(r) wrt r.
4*r
What is the third derivative of -2*o**2 + 228 - 227 - 3*o**5 + 4*o**2 wrt o?
-180*o**2
Let p(l) = l**2 + 6*l. Let c(m) = 4*m**2 + 17*m. Let g(z) = -4*c(z) + 11*p(z). Find the second derivative of g(i) wrt i.
-10
Let l(u) be the third derivative of u**9/20160 - u**6/180 + u**5/20 - 3*u | {
"pile_set_name": "DM Mathematics"
} |
- 3. Let p(x) = 1. Let d(y) = -a(y) - 3*p(y). Determine t(d(s)).
7*s**2
Let b(u) = -u**2 + 0*u + 2*u + 2*u**2 - 2. Let g(y) = y - 1. Let j(m) = b(m) - 2*g(m). Let a(d) be the first derivative of 2*d**3/3 + 1. What is j(a(q))?
4*q**4
Let t(i) = 31*i + 1. Let x(n) = 4*n. Determine t(x(y)).
124*y + 1
Let x(z) = 8*z**2. Let p(d) = -7*d. Give x(p(q)).
392*q**2
Let f(n) = n. Let c(w) be the first derivative of -1/3*w**3 + 0*w**2 - 1 + 0*w. What is f(c(t))?
-t**2
Let v(y) be the second derivative of -2*y**4/3 - 3*y. Let m(o) = 2*o**2. Give m(v(w)).
128*w**4
Let r(o) = -2*o**2. Let t(x) be the second derivative of -x**4/4 - 6*x. Give r(t(p)).
-18*p**4
Let w(l) be the second derivative of l**3/6 - 3*l. Let b(v) = 10*v**2. Calculate w(b(d)).
10*d**2
Let b(x) = -2*x. Let a(d) = 3*d - 1. Let c be a(1). Let y(g) = -8*g**2 - 2*g**2 - g**c + 0*g**2. Calculate y(b(l)).
-44*l**2
Let d(z) = z**2. Let q(g) = g**2 + 0*g**2 + 4 + 0*g**2 - 5*g. Let y be q(3). Let w(o) = o + 5. Let p(r) = -2. Let h(f) = y*w(f) - 5*p(f). Give d(h(s)).
4*s**2
Let g(v) = -13*v**2. Let j(i) = 5*i**2. Let n(s) = -s**2. Let b(t) = j(t) + 4*n(t). Give b(g(y)).
169*y**4
Let p(x) = x. Let s(w) = -2*w**2 + 2*w**2 + 5*w + w - w**2. Let j(c) = 4*c - 2*c**2 + 11*c - 4*c. Let n(h) = 6*j(h) - 11*s(h). Give p(n(k)).
-k**2
Let o(d) be the first derivative of 4*d**3/3 - 1. Let i(x) = -2*x**2. Give i(o(u)).
-32*u**4
Let s(q) = -2*q**2. Let f(r) = r**2 + 5*r - 5. Let p(y) = -y**2 - 6*y + 6. Let i(x) = 6*f(x) + 5*p(x). Give s(i(m)).
-2*m**4
Let m(r) be the first derivative of 3*r**2/2 + 2. Suppose 3*q = -2*q + 10. Let h(k) = 1 - 1 - k**q. Calculate m(h(t)).
-3*t**2
Let p(m) = -2*m**2. Let b(f) = 0*f**2 + 9*f**2 + 9*f**2. Calculate p(b(t)).
-648*t**4
Let n(s) = 37*s**2 - 1. Let h(k) = -18*k. Determine h(n(t)).
-666*t**2 + 18
Let l(a) = -121*a**2. Let s(t) = -t**2. What is s(l(w))?
-14641*w**4
Suppose -4*n + 20 = 2*u - 10, -2*n = -4*u + 10. Let y(f) = -12*f. Let t(a) = 102*a. Let d(b) = u*t(b) + 42*y(b). Let c(q) = 2*q. What is c(d(i))?
12*i
Let d(l) = 2*l. Let u be (6/(-15))/((-2)/(-10)). Let n be u + (4 - (0 - 0)). Let j(i) = -2*i**2 + i**2 + n*i**2. Give d(j(y)).
2*y**2
Let p(s) = 3*s**2 + s - s. Let a(f) = -f + 1. Suppose 4 = v - 5*v. Let r(y) = -y**2 + 2*y - 2. Let m(q) = v*r(q) - 2*a(q). Determine m(p(j)).
9*j**4
Let k(z) = 11*z**2 - 7. Let h(f) = -6*f**2 + 3. Let p(b) = -7*h(b) - 3*k(b). Let o(d) be the third derivative of d**5/30 + 4*d**2. What is o(p(g))?
162*g**4
Let o(q) = -50*q - 20. Let v(r) = -7*r - 3. Let p(b) = -3*o(b) + 20*v(b). Let m(y) = -y**2. Determine m(p(c)).
-100*c**2
Let h(k) = 14*k. Let x(q) = -12*q**2. Give h(x(o)).
-168*o**2
Let m(u) = 2*u. Let c(k) = -111*k. What is m(c(p))?
-222*p
Let t(c) = c**2. Let w(f) = 113*f. Calculate t(w(j)).
12769*j**2
Let j(r) be the third derivative of r**4/24 - 4*r**2. Let o(w) = w. Calculate j(o(a)).
a
Let r(u) = 10 - 10 - 2*u. Let k(p) = -3*p**2 + p**2 - 2*p**2. Calculate r(k(i)).
8*i**2
Let u(h) = -18*h - 2. Let o(y) = 2*y**2 + 12. Calculate u(o(f)).
-36*f**2 - 218
Let z(q) = 1380*q**2. Let p(o) = -2*o. Give p(z(t)).
-2760*t**2
Let v(y) = 8*y + 6. Let r(s) = 7*s + 5. Let q(k) = -6*r(k) + 5*v(k). Let g(o) = -o. Calculate q(g(n)).
2*n
Suppose 2*j = -3*j + 20. Let f(u) = -4*u. Let i(o) = -o**2 + 3*o. Let n(y) = j*i(y) + 3*f(y). Let p(l) = -2*l**2 + 4*l**2 - 4*l**2. What is p(n(c))?
-32*c**4
Let r(x) = 2*x. Let b(g) be the first derivative of 23*g**2 + 16. Calculate b(r(a)).
92*a
Let b = 1 + 1. Let h(n) = n**b + 0*n + 0*n. Let w(m) = -1 + 6 - 5 + m**2. What is w(h(l))?
l**4
Let b(z) = 4*z. Let x(k) = 5*k + 4*k - 44*k + 18*k. Determine b(x(m)).
-68*m
Let w be 14/(252/27)*4/3. Let m(x) be the first derivative of 2 - 5/2*x**w + 0*x. Let s(a) = -2*a. Calculate s(m(r)).
10*r
Let q(d) be the second derivative of -2*d**3 + 3*d. Let y(s) = -3*s**2 - s**2 + 5*s**2. What is q(y(c))?
-12*c**2
Let x(v) be the second derivative of 5*v**4/12 - 30*v. Let s(l) = l. What is s(x(q))?
5*q**2
Let r(f) = -f**2. Let l(c) be the second derivative of 11*c**4/12 + 2*c. Determine l(r(p)).
11*p**4
Let y(v) = -v - 289. Let z(l) = -l. Calculate y(z(h)).
h - 289
Let m(u) = 7*u**2. Let g be -4*1/4*-2. Let z(a) = -2*a**2 + a**2 - a**g. Calculate m(z(t)).
28*t**4
Let m(n) be the first derivative of -9*n**2/2 - 7. Let q(k) = -k**2. Calculate m(q(x)).
9*x**2
Let t(o) = -o**2 - 2*o + 2. Let a(c) = c**2 + c - 1. Let h(x) = -2*a(x) - t(x). Let n(i) = -12*i. Give h(n(f)).
-144*f**2
Let u(r) be the third derivative of -r**5/20 - 5*r**2. Let s(k) = -9*k**2. Determine u(s(f)).
-243*f**4
Let f(z) = 2*z. Let a(s) = 1. Suppose 0 = u + v - 1 - 2, 0 = 2*u - 3*v + 4. Let c(n) = -2*n + 3. Let y(x) = u*c(x) - 3*a(x). What is y(f(k))?
-4*k
Let c(o) be the second derivative of o**5/120 - 2*o**3/3 + 6*o. Let h(p) be the second derivative of c(p). Let v(i) = -3*i. Determine v(h(j)).
-3*j
Let o(j) = -59*j. Let v(t) = 2*t**2. Determine v(o(g)).
6962*g**2
Let r(n) = n**2. Let q(h) = -h**3 + 5*h**2 + 7*h - 3. Let t be q(6). Let c(f) = -f - 5*f + 0*f. Let z(m) = -7*m. Let w(l) = t*c(l) - 2*z(l). Calculate r(w(x)).
16*x**2
Let q(g) = -23*g. Let b(i) = -37*i - 7. What is q(b(o))?
851*o + 161
Let g(u) = 14*u - 6. Let z(f) = 462*f - 196. Let n(k) = -98*g(k) + 3*z(k). Let y(q) = -4*q + 6*q - 4*q. What is y(n(b))?
-28*b
Let o(l) = -450*l. Let k(z) = 4*z. Calculate o(k(v)).
-1800*v
Let l(c) = 51 - c**2 - 51. Let q(w) be the third derivative of -5*w**4/8 - 8*w**2. Determine q(l(h)).
15*h**2
Let z(r) = -2*r**2. Let j(x) be the second derivative of 4*x**3/3 - x**2/2 - 31*x. Give j(z(f)).
-16*f**2 - 1
Let x(n) = 2*n. Let k(j) = -8002*j. What is x(k(u))?
-16004*u
Suppose a = 2*a. Suppose 2*z - 3*c = -z, 2*z + 2*c = 0. Let y(n) = z*n + 2*n - 4*n + a*n. Let m(d) = d. What is y(m(i))?
-2*i
Let d(s) = 28*s**2. Let y(t) = 3*t**2 - 112*t + 112*t. Give d(y(h)).
252*h**4
Let l(y) = y**2. Let h(j) = 4*j**2. Let n(q) = -h(q) + 6*l(q). Let x(o) = 13*o**2. Determine x(n(g)).
52*g**4
Let i(d) be the first derivative of 2*d**3/3 + 4. Let x(m) = -2*m**2. Give x(i(c)).
-8*c**4
Let c(a) = -88*a**2 + 2*a. Let m(q) = q. Calculate c(m(w)).
-88*w**2 + 2*w
Suppose -2*m - 8 = 2*r, 3*r - 19 = 4*r + 4*m. Let i(h) = 6 - r + 2*h - 5. Let j(t) = -t. Determine j(i(x)).
-2*x
Let o(i) = 1162*i**2. Let m(k) = 2*k**2. What is m(o(n))?
2700488*n**4
Suppose 2*r = 2*u, 2*r + u - 15 = -2*u. Let m(g) = 3 - r - 2*g**2. Let a(h) = -5*h + 2*h + 0*h. Determine a(m(f)).
6*f**2
Let q(v) = -5*v - 5. Let a(j) = 1. Let i(y) = 5*a(y) + q(y). Let g(z) = 4*z**2 + 23 - 23 - 6*z**2. Calculate g(i(d)).
-50*d**2
Let b = 9 - -7. Suppose -4*y - o = -3*y - 6, 0 = -2*y + 5*o - b. Let v(k) = k**y + 13*k - 13*k. Let q(t) = -2*t**2. Calculate v(q(s)).
4*s**4
Let y(g) = -285*g. Let q(x) = -3*x. Give y(q(a)).
855*a
Let z(k) be the first derivative of 4/3*k**3 + 0*k**2 - 4 + 0*k. Let x(j) = 3*j. Give z(x(h)).
36*h**2
Let g(w) be the second derivative of 7*w**4/12 - 9*w - 4. Let p(d) = 3*d**2. What is g(p(u))?
63*u**4
Let x(g) = g - 1. Let w(v) = -v. Let r(t) = w(t) + 3*x(t). Let l(k) = 11 - 17 + 7. Let d(f) = 6*l(f) + 2*r(f). Let q(b) = -b**2. What is q(d(u))?
-16*u**2
Let i(s) = -s. Let y(r) be the third derivative of 0 + 1/10*r**5 + 0*r - r**2 + 0*r**3 + 0*r**4. Give y(i(c)).
6*c**2
Let m(d) = -2*d - 13. Let f(l) be the first derivative of l**2/2 - 28. Calculate f(m(k)).
-2*k - 13
Let i(k) = -3*k. Let l(m) = -53*m**2. Give l(i(z)).
-477*z**2
Let g(c) = -60*c - 4. Let l(b) = -2*b**2. Give l(g(r)).
-7200*r**2 - 960*r - 32
Let u(l) = -4*l**2 + 18*l. Let s(t) = 9*t**2. What is u(s(m))?
-324*m**4 + 162*m**2
Let o(m) be the second derivative of 0*m**2 - 9*m - 5/6*m**3 + 0. Let c(z) = -4*z. Determine c(o(a)).
20*a
Let o(s) = 2*s**2. Let q(z) = 14 - 14 + 6*z. Determine o(q(y)).
72*y**2
Let v(f) = 297*f**2. Let a(g) = 15*g**2. What is v(a(b))?
66825*b**4
Let b(j) be the second derivative of j**3/6 + 11*j. Let d(y) be the third derivative of -11*y**4/24 + 2*y**2. What is b(d(n))?
-11*n
Let b(f) = -18*f. Let a(r) = -4 - 82*r + 4 + 86*r. Calculate b(a(m)).
-72*m
Let i(p) = -13*p - 6. Let b(d) = 168*d + 77. Let c(k) = -6*b(k) - 77*i(k). Let t(a) = 2*a**2 + 2*a - 8*a + 6*a. Give c(t(v)).
-14*v**2
Let y(s) = -2*s. Let w(x) be the third derivative of -x**7/560 - x**5/10 - 4*x**2. Let f(u) | {
"pile_set_name": "DM Mathematics"
} |
be (858/55)/(6/p). Suppose 15 + 550 = 5*b - 5*z, 2*b + 4*z - g = 0. What are the prime factors of b?
2, 5, 11
Let u(m) = -10*m**3 - 39*m**2 + 29*m - 199. What are the prime factors of u(-15)?
101, 241
Let s(t) = 77*t**2 + 129*t + 1757. List the prime factors of s(-15).
13, 1319
Let d(s) = -s**3 + 7*s + 1. Let x be d(-3). Suppose 149 = -x*w + 3796. What are the prime factors of w?
521
Let s(v) = -v**3 - 8*v - 8*v**2 + 10*v**2 - 15 + 10*v**2 + v**2. Let u be s(11). Let m = -23 + u. List the prime factors of m.
2, 29
Let x(d) = -209*d**3 - 7*d**2 + 157*d + 649. What are the prime factors of x(-4)?
5, 2657
List the prime factors of -702 + 44400 - (3/3)/(-1).
89, 491
Let r be 835 + (4 - -10 - 9). Let o = r - 796. What are the prime factors of o?
2, 11
Suppose -2*g - 8 = 0, -2*b - 3*g = b + 21. List the prime factors of 3 - (b + 60/8)*-4.
3, 7
Suppose 16 = -4*g + 3*j, j = -4*g - 3*j + 12. Let n be ((-520)/(-15))/(g/(-12)). Suppose -3*v + n - 35 = 0. List the prime factors of v.
127
Suppose g + 2*f = 2*g - 12, 0 = 5*f + 15. Let y(j) = -j + 143. List the prime factors of y(g).
137
Let j be (-88)/(-24) - ((-12)/9 - -1). Suppose -5*a - 4569 + 1053 = -4*q, -j*a = q - 879. What are the prime factors of q?
3, 293
Let j(d) = d**2 - 8*d + 12. Let m be j(2). Suppose m = 16*x - 12*x - 608. List the prime factors of x.
2, 19
List the prime factors of (-310)/(-93)*(-8721)/(-5).
2, 3, 17, 19
Let j = 47359 + -31714. List the prime factors of j.
3, 5, 7, 149
Suppose -61*d - 1628 = -15*d - 1988644. What are the prime factors of d?
2, 10799
What are the prime factors of (-8)/(-14)*(-5263328)/(-64)?
2, 23497
Let o be (3 - 1)/((-88)/(-33396)). Let b = o + -392. What are the prime factors of b?
367
Let v = -6 + 24. Let b = 37 + v. Suppose -2*w = -u + 7, 3*u + w - b = 1. What are the prime factors of u?
17
Let h = 108 - 32. Suppose -w + 2*w + 5*l + 9 = 0, -15 = -w + l. Suppose n - h = -w. List the prime factors of n.
5, 13
Suppose -34963 = -1300*q + 1298*q + 5*u, -4*q + 69915 = u. What are the prime factors of q?
7, 11, 227
Let x(w) = 4*w - 2. Let q be x(11). Suppose q*d - 30264 + 8214 = 0. List the prime factors of d.
3, 5, 7
Let b(z) = -31*z**3 - z**2 + 67*z + 72. List the prime factors of b(-11).
5, 1619
Suppose -q = 2*v - 8921, -2*q - 2*v - 2269 = -20115. List the prime factors of q.
3, 5, 7, 17
Let k = -31 - -26. Let c be 138/(-92) + 137*(-2)/4. What are the prime factors of k/2*1092/c?
3, 13
Let h(y) be the first derivative of -215*y**4/4 + 2*y**3/3 - 7*y**2 - 25*y + 97. List the prime factors of h(-2).
3, 577
Let q(z) = -14*z + 12. Suppose -5*y = 5*o + 150, 2*y - 17 + 137 = -4*o. List the prime factors of q(o).
2, 3
Let j(i) be the third derivative of 5*i**4/3 + 31*i**3/2 + 43*i**2 - i. List the prime factors of j(7).
373
Let j(n) = -n**2 - 11*n + 23. Let f be j(-13). List the prime factors of f/4 + 3321/12.
2, 3, 23
Let l = -826 + 831. List the prime factors of (5616/l - 4) + (-16)/(-20).
2, 5, 7
Suppose -3*o = -40*o + 851. Let f(u) = 32*u - 65. List the prime factors of f(o).
11, 61
Let u(g) = -627*g + 3264. What are the prime factors of u(-6)?
2, 3, 1171
What are the prime factors of (21 + -8 + -29)*1790/(-8)?
2, 5, 179
Suppose 49 + 11 = 6*c. Let w(a) = 33*a - 28. Let f be w(c). Suppose -64 - f = -6*l. What are the prime factors of l?
61
Suppose -2*i + 10 = 3*k, 5*i - 4 = -5*k + 21. Suppose k = -2*o - 8*o + 4280. What are the prime factors of o?
2, 107
Let u(k) = 3*k**2 + 32*k + 6. Let a be u(-11). Suppose -i = m - 5*i - a, -m + 5*i = -21. List the prime factors of (9 - 188)*(-1 + 1 - m).
179
Let s = 26 - 24. Suppose -10 = -5*o, 5*t + 0 = -o + s. Suppose t = 7*q + 8*q - 1665. What are the prime factors of q?
3, 37
Let v(u) = -205*u**2 - 11*u - 6*u - 12 + 204*u**2. Let o be v(-18). Let z = 44 + o. What are the prime factors of z?
2, 7
Let o(l) = -1223*l**3 + 2*l**2 + 197*l + 395. List the prime factors of o(-2).
7, 1399
Suppose 0 = 5*c + 1 + 9, 3*v - 5*c = 1. List the prime factors of 112/v*(-120)/32.
2, 5, 7
Let w = 2 - -3. Suppose -w*x + 1707 = 3*g, -1369 = -5*x + x + g. List the prime factors of x.
2, 3, 19
Let u = -423 + 1261. Let a = u - 465. What are the prime factors of a?
373
Let q = -276 + 276. Suppose q = -3*f + z + 519, -f + 0*z - 5*z + 173 = 0. List the prime factors of f.
173
Suppose 43*y - 69*y = 36608. Let r = 2776 + y. List the prime factors of r.
2, 3, 19
What are the prime factors of (13885 - 1) + (-149 - -134)?
3, 23, 67
Let t(z) = 0 - 10*z**2 - 4*z + 31*z**2 - 9 + z. Let k be (-8)/6*(-144)/64. What are the prime factors of t(k)?
3, 19
Suppose 3*x + 10 = -2*y, 4 = -2*y - x - 2. What are the prime factors of 7641/54 + (3/(-6) - y)?
11, 13
Suppose -1217 = -3*j - 5*b, 0 = 3*j - 2*b + 4*b - 1223. Let a = j - 70. What are the prime factors of a?
3, 113
Let o = 0 - -2. Suppose -8*w = 76 - 108. Suppose -2*t = o*c - 100, -4*t - w*c = c - 196. What are the prime factors of t?
2, 3
Let f be ((-4)/8)/((-6)/(-180)) - -4. List the prime factors of (10/(-5) + f)*-2.
2, 13
Suppose -6*q = -343 + 187. Suppose 0 = q*x - 38629 - 6845. What are the prime factors of x?
3, 11, 53
Let o = 2353 + -1334. List the prime factors of o.
1019
What are the prime factors of (3/5)/(7 - 524120/74875)?
3, 5, 599
Suppose -3*k = -3*f + 72270, -4*f + 2*k + 14517 = -81829. What are the prime factors of f?
24083
Suppose -6*a + 240 = 672. What are the prime factors of (a/(-21))/(4/182)?
2, 3, 13
Suppose 2*d + 54*p - 59*p = 39128, -2*d + 3*p = -39140. What are the prime factors of d?
7, 2797
Suppose b + 648 = -4*u + 6*b, -5*b = 0. Let n = u - -601. What are the prime factors of n?
439
Suppose 11*n + 75 = 26*n. List the prime factors of 273 + n - (-2 + 6).
2, 137
Suppose 7*v = -161 + 11053. Suppose -5*r + 4909 + v = 0. What are the prime factors of r?
3, 431
Let g = 9716 + 11881. List the prime factors of g.
3, 23, 313
Let u(r) = 13*r**2 - 2 + 10 + 8*r + 4. Suppose -98 = 28*d - 14. What are the prime factors of u(d)?
3, 5, 7
Let d be 63/14 + 1/2. Let i be (-1)/(d*1) - (-35)/175. Suppose i = 6*y - 420 - 252. List the prime factors of y.
2, 7
Let j be (176/10)/(38/1615). Let y = j + -471. List the prime factors of y.
277
Suppose 4*p + 18622 = 5*j + 2612, 4*p = -3*j + 9606. List the prime factors of j.
2, 1601
Let x(t) = 3*t**2 + t - 10. Let y be x(4). Let u be (y/(-28))/(6/968). Let q = u + 361. What are the prime factors of q?
7, 17
Suppose -4*a - 3*w + 327 = 0, -3*a - 5*w + 15 + 222 = 0. Let o = a + -84. Suppose 2*c = 5*h - 278, o*h - 4*c = 5*h - 254. List the prime factors of h.
2, 3
Let o = -4403 + 10712. What are the prime factors of o?
3, 701
Suppose 3*k + 733 = 760. List the prime factors of 2 + 297 + (3 - k).
293
Let z = -208 - -823. Let b be (-9)/21 - z/35. Let m(f) = f**2 + 9*f - 36. What are the prime factors of m(b)?
2, 3, 7
What are the prime factors of ((-192)/40 - -6) + (-151240)/(-50)?
2, 17, 89
Suppose 16*l + 71331 = 29*l. Suppose 0 = -8*m + 217 + l. List the prime factors of m.
23, 31
Let l = -2956 + 11235. List the prime factors of l.
17, 487
Suppose 2*p + 12*p - 100225 = -5*p. List the prime factors of p.
5, 211
Suppose -5*u = 4*a + 7, -17 + 23 = -3*a - 4*u. Suppose -2*q + 2*o = -1212, a*q - 6*q = 2*o - 2418. List the prime factors of q.
5, 11
Let g = -1057 + 11005. What are the prime factors of g?
2, 3, 829
Suppose 0 = -55*l + 79009 - 4814. List the prime factors of l.
19, 71
Let h(x) be the second derivative of -x**5/2 + 5*x**4/6 - x**2 - 14*x. List the prime factors of h(-3).
2, 179
Suppose 7*j - 2*j = 20. Suppose -5*a - 3*s + 64 = 13, 0 = j*a - s - 34. Suppose -a*b = -8*b - 37. List the prime factors of b.
37
Let a = -84 - -96. What are the prime factors of -131*(-9)/a + (-6)/24?
2, 7
Let u = 54390 - 24289. List the prime factors of u.
31, 971
Suppose 9*b - 30*b = -214809. What are the prime factors of b?
53, 193
What are the prime factors of 11/((-55)/9860)*(-1 + -13 + 8)?
2, 3, 17, 29
What are the prime factors of 2*228*189857/1527?
2, 19, 373
Suppose 0 = 4*p + g - 100, -3*p + g + 100 - 18 = 0. Suppose p*m - 11390 = 5432. What are the prime factors of m?
647
Let f(y) = 154*y + 7. Let a be f(-1). Let t be ((-38)/(-14) + -1)/((-42)/a). Suppose 4*u + t*u - 1750 = 0. What are the prime factors of u?
5, 7
Let x = -99 - -1865. Suppose -3*u + 2239 = -4*m, -4*u + 5 | {
"pile_set_name": "DM Mathematics"
} |
s -12 not equal to 2.99?
True
Which is smaller: 259 or 2318/9?
2318/9
Which is greater: 188 or 3?
188
Are -7396 and -7394 nonequal?
True
Which is greater: -67 or -62?
-62
Which is smaller: -489 or -488?
-489
Do -122/5 and -23 have the same value?
False
Which is bigger: 518 or -4?
518
Which is bigger: 2/6071 or -1?
2/6071
Do 7/15 and 43 have the same value?
False
Is 0.2 > -1224?
True
Is 22 >= 8?
True
Which is greater: 1 or -1/10933?
1
Which is bigger: 420 or 419?
420
Is -15 bigger than -25?
True
Is 263 at most as big as 264?
True
Is -195 < -195?
False
Is 73 at most as big as 72?
False
Which is smaller: 1/3 or 101?
1/3
Which is smaller: 1419 or 0.3?
0.3
Which is smaller: 42/71 or 2/9?
2/9
Are 1.4 and -16.35 equal?
False
Which is greater: 1/7495 or -1?
1/7495
Which is bigger: 7 or -1/78?
7
Which is bigger: -2114 or 0.1?
0.1
Which is smaller: 26 or 27?
26
Does 8 = 0.17?
False
Which is bigger: 6149 or 6150?
6150
Do -440 and -1 have the same value?
False
Which is bigger: -2 or -162?
-2
Are -280 and -281 equal?
False
Is 161.6 < -4?
False
Which is smaller: 418 or 420?
418
Which is smaller: 2 or -624?
-624
Is -1 less than or equal to -0.4452?
True
Which is smaller: -9/62 or -1?
-1
Is 1 at most as big as 1/363?
False
Does 7/4 = 0.2?
False
Which is smaller: 0.2589 or -0.1?
-0.1
Is 1.4 >= 1.5?
False
Is 3/5012 greater than 0?
True
Are -3745/11 and -340 non-equal?
True
Is -1 at least as big as -13?
True
Are -1/5 and -4.2 equal?
False
Is -16366 smaller than -16366?
False
Is -6/193 greater than -1?
True
Which is smaller: -2/4893 or 1?
-2/4893
Which is greater: 9162 or 9163?
9163
Which is greater: -458 or -462?
-458
Is 3 at least as big as 981?
False
Is 11690 not equal to 11691?
True
Is -106 at least -106?
True
Which is greater: 333 or 327?
333
Are -248 and -249 equal?
False
Is -90 >= -721/8?
True
Which is smaller: -0.1 or 246?
-0.1
Which is smaller: 1 or 2/315?
2/315
Which is greater: 0 or 6/203?
6/203
Is -75 equal to -43?
False
Which is greater: 51 or 2?
51
Which is greater: -13 or -7?
-7
Which is greater: 1 or 0.352?
1
Is -140 bigger than 40?
False
Which is smaller: 499 or 498?
498
Is -418 less than or equal to -2924/7?
True
Which is smaller: 244 or 246?
244
Which is smaller: -2/1813 or 0?
-2/1813
Which is smaller: -3/5 or 0.79?
-3/5
Which is greater: 0 or 908?
908
Is 687 at least as big as 686?
True
Which is greater: 135 or -0.4?
135
Does 18/53 = -1?
False
Does 89 = 0?
False
Which is smaller: -1 or 66/145?
-1
Which is smaller: 3.231 or 2?
2
Which is greater: 7 or -23?
7
Do -6 and -79 have the same value?
False
Is -19200 at most 3?
True
Does -2/1005 = -1?
False
Which is bigger: -74/9 or -7?
-7
Is -288 equal to -1?
False
Which is smaller: -1/7 or 135?
-1/7
Is 0.06 at most as big as 38.96?
True
Which is bigger: -43 or -29?
-29
Do 1351 and 1351 have different values?
False
Which is greater: -1495 or -1500?
-1495
Which is bigger: 1 or 12/3113?
1
Is 9/35 equal to 1?
False
Which is bigger: 26 or 423/16?
423/16
Which is smaller: -5/41 or 3?
-5/41
Which is greater: -3775/4 or -945?
-3775/4
Which is smaller: 2/2659 or 1?
2/2659
Do 6 and 6.4 have different values?
True
Is -3.58 at least 2?
False
Is 1 greater than -189/776?
True
Is 1753 at least as big as 1752?
True
Which is greater: -1 or 1/1382?
1/1382
Is -22649 >= -22649?
True
Is -1209 > -1207?
False
Which is greater: -133 or -110?
-110
Are -46 and -2 unequal?
True
Which is smaller: -1 or -513?
-513
Is 1/7 less than or equal to 4?
True
Which is greater: -378 or -377?
-377
Is -34 less than -7?
True
Is -0.33 greater than or equal to -8?
True
Is -1 less than -103/465?
True
Are 174 and 175 equal?
False
Which is smaller: 3/2 or -4.148?
-4.148
Which is smaller: -60 or -57?
-60
Which is bigger: -2/4785 or 0?
0
Which is greater: 0.042 or -0.03?
0.042
Is -0.1 not equal to 480?
True
Is -6/11729 at least 0?
False
Is 1 equal to 18/1469?
False
Which is greater: -1 or -3/1204?
-3/1204
Is 4/425 at least as big as 1?
False
Is -1 not equal to 4/27?
True
Which is greater: 4 or -2/19?
4
Is -4790 <= 0?
True
Is 20 <= -950?
False
Which is bigger: -12 or -10?
-10
Which is greater: -17913 or -17914?
-17913
Which is greater: 19 or 248/13?
248/13
Does -1/12 = -0.488?
False
Is -8/5 at most as big as -1?
True
Is 1845/8 bigger than 230?
True
Is 81 != 412/5?
True
Is 2 smaller than 124/179?
False
Is -3190 at most as big as -3190?
True
Is 1 smaller than -1/13096?
False
Is 0.02 greater than or equal to -0.202?
True
Which is greater: 1685 or 1683?
1685
Which is smaller: 0 or 253/192?
0
Which is smaller: 534 or 10?
10
Is 167 bigger than 14?
True
Is 1 greater than -1/26145?
True
Is -5 <= -75/16?
True
Is -82 greater than -86?
True
Is -1/566 greater than or equal to 1?
False
Which is bigger: 27 or 3?
27
Is -29 != -0.1?
True
Is 129 smaller than 2?
False
Is -5059 <= -5059?
True
Which is bigger: 5 or -0.02?
5
Which is bigger: -7094 or -7089?
-7089
Are 654 and 653 equal?
False
Which is smaller: -0.03 or -2945?
-2945
Which is smaller: -58 or -4/5?
-58
Which is greater: 23 or 454/19?
454/19
Is -21 <= -62?
False
Which is smaller: -1062/5 or -213?
-213
Which is smaller: -0.06 or 66/13?
-0.06
Is 3 > -2.4?
True
Is -303 greater than or equal to -4/17?
False
Is 0.1 smaller than 153/362?
True
Is 28 not equal to 28?
False
Do -7.8 and -4/13 have the same value?
False
Do -2 and 254 have the same value?
False
Which is greater: -95/2 or -49?
-95/2
Which is smaller: 0 or -25/364?
-25/364
Which is bigger: -69 or -31?
-31
Which is greater: -0.086 or -155/4?
-0.086
Does 4/5075 = -1?
False
Which is smaller: -14 or -286/21?
-14
Which is smaller: 747 or -0.3?
-0.3
Which is smaller: 22 or 56?
22
Which is greater: 74 or 5?
74
Which is smaller: 197 or 592/3?
197
Which is greater: 17/144 or 0?
17/144
Is 13/31 greater than or equal to 2/13?
True
Which is smaller: -3/187 or 0?
-3/187
Is -7/18 >= -1?
True
Which is smaller: 57/145 or 1?
57/145
Which is greater: 2/183 or 0?
2/183
Is -37 smaller than -1?
True
Which is smaller: -2763 or 0.4?
-2763
Which is smaller: 1 or 1337?
1
Is 80/249 less than -1?
False
Which is bigger: -3/2 or -4065?
-3/2
Is -257 > 0.2?
False
Is 106/13 at least 8?
True
Is -0.05 at most as big as 61?
True
Is 998 smaller than 998?
False
Which is greater: -2/427 or 1?
1
Which is bigger: -185 or -178?
-178
Which is smaller: -2114 or 0.1?
-2114
Which is bigger: 0.79 or -39?
0.79
Is -129 at least as big as -6?
False
Is -4/4959 < 1?
True
Which is smaller: 1434 or 1435?
1434
Are 15 and 14 non-equal?
True
Is 15/7211 at most 0?
False
Which is bigger: -8953 or -8951?
-8951
Is -39 greater than -39?
False
Is 782 at most as big as 780?
False
Is 33 >= 33?
True
Does -1 = 1/4365?
False
Which is smaller: -5/1192 or 0.1?
-5/1192
Is -2134 >= -6406/3?
True
Does 0 = -4/12299?
False
Is -1272/11 at most -117?
False
Are -0.05 and 6.7 nonequal?
True
Is 0.2 bigger than 3828?
False
Is 1 > -4/135?
True
Is 0 at least 8/91?
False
Which is greater: -692 or -693?
-692
Which is smaller: 212 or -19?
-19
Is -959 at least as big as 1?
False
Which is smaller: 2/3 or 4909?
2/3
Is -12 at least as big as -0.678?
False
Is -2 less than -44/39?
True
Is -844 less than 3?
True
Do -3383 and -3383 have different values?
False
Is 0.2 not equal to -0.707?
True
Which is greater: -1 or 1/222?
1/222
Which is bigger: -1036/9 or -116?
-1036/9
Which is smaller: 5/356 or -1?
-1
Which is greater: 147 or 146?
147
Is 7 at least as big as -376?
True
Which is bigger: 11/331 or -1?
11/331
Is -464 at most -464?
True
Is 0 less than or equal to -13/30?
False
Is 19 != 14.9?
True
Which is greater: 7 or -1?
7
Is 70 less than or equal to 553/8?
False
Which is greater: 1 or 138/343?
1
Which is bigger: -1 or 34?
34
Is -158/5 bigger than -32?
True
Are -42 and -36 nonequal?
True
Do 35 and 242/7 have the same value?
False
Which is bigger: -802/3 or -266?
-266
Which is smaller: 61/299 or 1?
61/299
Is 97 less than or equal to 108?
True
Is 816 less than or equal to 814?
False
Is 30 != 31?
True
Is -321 <= -321?
True
Are 45 and -4 equal?
False
Which is bigger: 7696 or 15393/2?
15393/2
Which is smaller: -537 or -1613/3?
-1613/3
Is 0 > 7/59?
False
Which is bigger: -35795/6 or -5966?
-35795/6
Which is smaller: -1 or 2/79?
-1
Which is bigger: -5/4 or -1/407?
-1/407
Are 8988 and 8987 non-equal?
True
Is -64 greater than or equal to -0.3?
False
W | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence wgg?
1/4
Calculate prob of sequence gtb when three letters picked without replacement from {g: 2, t: 5, b: 4, f: 2}.
10/429
Three letters picked without replacement from mmgdgmagymdw. Give prob of sequence wam.
1/330
What is prob of sequence wo when two letters picked without replacement from {h: 3, w: 2, r: 1, o: 4, l: 1}?
4/55
Calculate prob of sequence lh when two letters picked without replacement from hhhhttthlhttttt.
1/35
Three letters picked without replacement from {o: 2, v: 2, u: 3, n: 4}. Give prob of sequence non.
4/165
Calculate prob of sequence xlxl when four letters picked without replacement from {x: 3, j: 3, l: 10, z: 4}.
3/646
Four letters picked without replacement from ihfshofooohoohshhf. What is prob of sequence fssh?
1/2040
Four letters picked without replacement from {d: 1, u: 6, m: 2, r: 2}. Give prob of sequence uumd.
1/132
Three letters picked without replacement from {m: 1, n: 3, c: 1, z: 5}. What is prob of sequence nzm?
1/48
Calculate prob of sequence jjf when three letters picked without replacement from {j: 14, f: 5}.
455/2907
What is prob of sequence ttu when three letters picked without replacement from {d: 2, g: 4, t: 7, y: 1, u: 2}?
1/40
Calculate prob of sequence cc when two letters picked without replacement from foofocffffoooco.
1/105
Three letters picked without replacement from {e: 3, n: 2}. Give prob of sequence ene.
1/5
Three letters picked without replacement from nwnbbbhwwkwbbbwnnbhk. Give prob of sequence bhn.
7/855
Two letters picked without replacement from {l: 15, p: 3}. Give prob of sequence pp.
1/51
Calculate prob of sequence ad when two letters picked without replacement from uqdaqnaqddw.
3/55
What is prob of sequence non when three letters picked without replacement from onnnnnnnnnnnnoo?
66/455
What is prob of sequence qt when two letters picked without replacement from qqnntqq?
2/21
Three letters picked without replacement from uuzuzzuuzuuuuhuzuhu. What is prob of sequence uuh?
44/969
Three letters picked without replacement from jenmkjg. What is prob of sequence gmj?
1/105
Three letters picked without replacement from qenpb. What is prob of sequence peq?
1/60
Three letters picked without replacement from {z: 3, m: 11}. What is prob of sequence zzz?
1/364
Three letters picked without replacement from {k: 1, b: 4, x: 1, z: 4}. Give prob of sequence zbx.
1/45
Four letters picked without replacement from skssusvuhukvuvkk. What is prob of sequence uvvh?
1/1820
Calculate prob of sequence sno when three letters picked without replacement from ttsons.
1/60
Calculate prob of sequence ry when two letters picked without replacement from {y: 2, r: 2}.
1/3
Four letters picked without replacement from {d: 7, m: 7}. Give prob of sequence dmdd.
35/572
Two letters picked without replacement from pevrekqqvvpkvp. What is prob of sequence ev?
4/91
Two letters picked without replacement from qqqqqqqqqwwwwwww. What is prob of sequence wq?
21/80
Three letters picked without replacement from {y: 7, q: 7}. What is prob of sequence yqq?
7/52
Calculate prob of sequence cvua when four letters picked without replacement from {k: 1, v: 1, u: 1, a: 1, r: 2, c: 1}.
1/840
Three letters picked without replacement from {y: 9, g: 1, a: 2, u: 1}. What is prob of sequence uag?
1/858
What is prob of sequence ui when two letters picked without replacement from ziziiizuzzuzz?
2/39
Calculate prob of sequence viv when three letters picked without replacement from ivffv.
1/30
Calculate prob of sequence msrp when four letters picked without replacement from {y: 1, m: 5, r: 6, s: 1, p: 1, e: 3}.
1/1904
Calculate prob of sequence leeo when four letters picked without replacement from {l: 2, o: 5, e: 6}.
5/286
What is prob of sequence ud when two letters picked without replacement from {u: 3, w: 3, d: 1, i: 2, c: 7, b: 3}?
1/114
Four letters picked without replacement from igmgmggmiii. What is prob of sequence mgim?
2/165
Two letters picked without replacement from {h: 13, y: 6}. Give prob of sequence hy.
13/57
What is prob of sequence sovh when four letters picked without replacement from xxhvsooh?
1/420
What is prob of sequence nodo when four letters picked without replacement from {d: 10, t: 3, o: 3, p: 1, n: 3}?
1/646
Four letters picked without replacement from jjijjji. What is prob of sequence iijj?
1/21
Calculate prob of sequence wdw when three letters picked without replacement from {e: 1, d: 3, k: 2, w: 3, i: 1, z: 2}.
3/220
Calculate prob of sequence pf when two letters picked without replacement from {e: 1, c: 2, f: 1, o: 2, p: 11, h: 2}.
11/342
Calculate prob of sequence ikg when three letters picked without replacement from kpsiqpgpqipqqsp.
1/1365
Calculate prob of sequence rwj when three letters picked without replacement from rwujaujucjcw.
1/220
Three letters picked without replacement from qzzmqvqzqzmqzzzz. Give prob of sequence qmm.
1/336
Two letters picked without replacement from {c: 3}. Give prob of sequence cc.
1
Calculate prob of sequence lil when three letters picked without replacement from {i: 5, r: 7, l: 4}.
1/56
What is prob of sequence bg when two letters picked without replacement from {g: 1, k: 2, b: 1}?
1/12
Two letters picked without replacement from {h: 1, k: 1, q: 1, m: 2, j: 1, r: 2}. What is prob of sequence jm?
1/28
Three letters picked without replacement from {g: 1, v: 1, s: 1, r: 2, z: 2, k: 1}. What is prob of sequence zgr?
1/84
What is prob of sequence er when two letters picked without replacement from {r: 1, x: 1, e: 1}?
1/6
Two letters picked without replacement from ynwwwnnbnynanbwanwan. Give prob of sequence yw.
1/38
Three letters picked without replacement from {r: 3, f: 13}. Give prob of sequence rfr.
13/560
Calculate prob of sequence rm when two letters picked without replacement from mrrmmrwrmvrmcmr.
6/35
Four letters picked without replacement from {p: 7, h: 3, b: 4}. What is prob of sequence phbh?
1/143
Calculate prob of sequence nv when two letters picked without replacement from mhmnvhnmnmmm.
1/44
What is prob of sequence pzyl when four letters picked without replacement from pzpzyayppmmymzzml?
1/1190
Two letters picked without replacement from cxybctcyxbttbht. Give prob of sequence tb.
2/35
What is prob of sequence uyeu when four letters picked without replacement from ubebuuuuuuyubuuebuu?
11/3876
Four letters picked without replacement from hhhhkkhhhhkhhhhh. Give prob of sequence kkkh.
1/560
Two letters picked without replacement from esepjssepesss. Give prob of sequence je.
1/39
Four letters picked without replacement from uguuugjtoougi. Give prob of sequence jouo.
1/1716
Two letters picked without replacement from {d: 2, s: 5, t: 1, n: 1, e: 1, c: 7}. What is prob of sequence st?
5/272
Three letters picked without replacement from {k: 2, l: 4, i: 3, w: 1, z: 2}. What is prob of sequence lki?
1/55
Four letters picked without replacement from {l: 4, f: 7}. What is prob of sequence ffll?
7/110
Four letters picked without replacement from tzztztzzzzttttztzttt. What is prob of sequence zzzt?
77/1615
What is prob of sequence eeey when four letters picked without replacement from eyehyhhehhey?
1/165
What is prob of sequence ww when two letters picked without replacement from wpwppwwwplw?
3/11
Four letters picked without replacement from zawzszazzc. What is prob of sequence scca?
0
Four letters picked without replacement from zqqu. What is prob of sequence zuqq?
1/12
Three letters picked without replacement from {u: 3, t: 10, m: 2, k: 1, s: 1, d: 1}. Give prob of sequence mtm.
5/1224
Four letters picked without replacement from {j: 3, c: 3}. What is prob of sequence jjjc?
1/20
Calculate prob of sequence ene when three letters picked without replacement from nnekeknxcncepp.
1/91
Three letters picked without replacement from nipipnptniipznin. What is prob of sequence iii?
1/56
Three letters picked without replacement from ccsscpcs. What is prob of sequence ccp?
1/28
Two letters picked without replacement from yffffiffyyfyfyfyiifi. What is prob of sequence if?
2/19
Three letters picked without replacement from {x: 6, t: 2, w: 1, y: 6, m: 3}. What is prob of sequence mwy?
1/272
Calculate prob of sequence fk when two letters picked without replacement from {k: 2, | {
"pile_set_name": "DM Mathematics"
} |
- 10787056/3 = 0.
-2, -1, 7, 55036
Determine w so that 4*w**3 - 1509660*w**2 - 33213972*w - 182679508 = 0.
-11, 377437
Let -4*p**5 - 4815672*p**4 - 1449423366388*p**3 - 2898832285776*p**2 - 1449413735056*p = 0. What is p?
-601958, -1, 0
Suppose -30*n**3 + 2077685*n**2 - 346280*n = 0. Calculate n.
0, 1/6, 69256
Let 3*t**3/5 + 993*t**2/5 + 69192*t/5 + 244944 = 0. Calculate t.
-243, -60, -28
Suppose -15*s**2 - 2029525*s + 2706060 = 0. Calculate s.
-135303, 4/3
Factor -65*r**2/2 - 203709*r/2 - 303707.
-(r + 3131)*(65*r + 194)/2
Suppose 2*g**5/9 - 3040*g**4/9 + 5054*g**3/3 - 2020*g**2 = 0. What is g?
0, 2, 3, 1515
Find w, given that 4*w**2 - 73236*w - 14807200 = 0.
-200, 18509
Factor -2*z**3 - 100834*z**2 - 1273202672*z - 57090113640.
-2*(z + 45)*(z + 25186)**2
Factor 3*x**2 - 1021170*x + 86899014075.
3*(x - 170195)**2
Factor 5*l**2 + 20695*l + 14668740.
5*(l + 908)*(l + 3231)
Let -1598*a**5 + 49324*a**4 - 41294*a**3 - 6792*a**2 + 360*a = 0. What is a?
-3/17, 0, 2/47, 1, 30
Determine y so that y**3/3 - 188464*y**2 - 376929*y - 565394/3 = 0.
-1, 565394
Solve -3*b**4 - 44523*b**3 - 2748513*b**2 + 5630607*b - 2837568 = 0.
-14779, -64, 1
Determine z so that -z**5 + 284*z**4 + 519459*z**3 + 3109858*z**2 + 6215092*z + 4141848 = 0.
-589, -2, 879
Solve 3*l**2 - 4272*l - 105616896 = 0 for l.
-5264, 6688
Suppose -5*u**4 + 108780*u**3 - 582556790*u**2 - 98964019140*u - 4138343580845 = 0. Calculate u.
-83, 10961
Suppose 1074*j**3 - 215373*j**2 - 318204*j + 10908 = 0. Calculate j.
-3/2, 6/179, 202
Find h, given that -3*h**3 - 5987880*h**2 + 17963679*h + 23951556 = 0.
-1995963, -1, 4
Suppose -m**4/6 + 3306235*m**3/3 + 26449891*m**2/6 + 16531184*m/3 + 2204158 = 0. What is m?
-2, -1, 6612474
Solve 4*i**2 + 5186484*i - 10372984 = 0 for i.
-1296623, 2
Determine d so that -3*d**3/5 - 463938*d**2/5 + 12528057*d/5 - 70530888/5 = 0.
-154673, 8, 19
What is u in -50784845*u**4/6 - 117414593510*u**3/3 - 147366890*u**2/3 - 46240*u/3 = 0?
-4624, -2/3187, 0
Factor 3*j**3/7 + 5440884*j**2/7 + 2467021943628*j/7 + 78939130829184/7.
3*(j + 32)*(j + 906798)**2/7
Let -8*m**5 - 5206*m**4 - 137662*m**3 + 410722*m**2 + 5902806*m - 13658652 = 0. What is m?
-623, -29, -7, 9/4, 6
Factor 4*j**4 + 680*j**3 - 5776*j**2 - 14240*j.
4*j*(j - 10)*(j + 2)*(j + 178)
Factor 4*m**2 - 278316*m + 2504520.
4*(m - 69570)*(m - 9)
Determine z, given that -z**4/2 + 467*z**3/2 - 44565*z**2/2 - 2349611*z/2 - 9281305 = 0.
-29, -10, 253
Factor g**3 - 17296*g**2 - 173035*g - 432650.
(g - 17306)*(g + 5)**2
Factor -2*w**2/3 + 112269072*w - 4726629197902944.
-2*(w - 84201804)**2/3
Let -8*z**5/13 + 2718*z**4 - 48286606*z**3/13 + 14172353244*z**2/13 + 8636741693784*z/13 + 2158298896752/13 = 0. What is z?
-281, -1/4, 1566
Solve 3*d**2 + 4773*d - 1526616 = 0 for d.
-1864, 273
Let -2*x**3 - 8249780*x**2 - 16499554*x - 8249776 = 0. What is x?
-4124888, -1
Suppose -4*r**5 + 13935280*r**4 - 12136402560568*r**3 - 1043807920479120*r**2 - 22442424280129764*r = 0. Calculate r.
-43, 0, 1741953
Solve -12*v**4 + 6800*v**3 + 43416*v**2 + 75600*v + 20628 = 0 for v.
-3, -1/3, 573
Let -2*w**5/7 - 44*w**4/7 + 1122*w**3/7 + 28828*w**2/7 + 168064*w/7 + 292032/7 = 0. Calculate w.
-27, -13, -4, 26
What is l in -3*l**4/7 + 15375*l**3/7 - 776007*l**2/7 - 1598151*l/7 - 806766/7 = 0?
-1, 53, 5074
Factor -86846*x**2 + 260536*x + 6.
-2*(x - 3)*(43423*x + 1)
Solve 4*y**2 - 8448*y - 222352 = 0 for y.
-26, 2138
Solve 4*a**5/5 + 342112*a**4/5 + 684192*a**3/5 - 1368448*a**2/5 - 2736832*a/5 = 0.
-85526, -2, 0, 2
Factor -3*j**2 + 178167456*j - 2645303531459328.
-3*(j - 29694576)**2
Determine y, given that y**2/6 + 1580*y/3 + 157314 = 0.
-2826, -334
Factor -3*w**3/4 + 799683*w**2/4 - 53292274545*w/4 + 159869626569/4.
-3*(w - 133279)**2*(w - 3)/4
Factor -3*d**3/8 - 312813*d**2/4 - 14379876*d - 661328292.
-3*(d + 92)**2*(d + 208358)/8
Let -65*k**2 + 19856425*k + 19856490 = 0. Calculate k.
-1, 3971298/13
Solve -4*r**5 + 4816*r**4 + 593952*r**3 + 1752920*r**2 + 1743268*r + 579480 = 0.
-110, -1, 1317
Determine k, given that -133995*k**2 - 129*k/4 = 0.
-43/178660, 0
Determine c, given that 3*c**5/7 - 72*c**4/7 - 2889*c**3/7 + 15066*c**2 - 122472*c = 0.
-36, 0, 18, 21
Factor -1836025*l**2 - 44715*l - 1089/4.
-(2710*l + 33)**2/4
Factor -3*g**2/5 - 13746737*g/5 + 4582246/5.
-(g + 4582246)*(3*g - 1)/5
Suppose -5*a**5 - 815*a**4 - 9080*a**3 - 2060*a**2 + 143680*a - 193280 = 0. Calculate a.
-151, -8, 2
Solve 5*t**5 + 2175*t**4 + 89905*t**3 + 168985*t**2 - 89910*t - 171160 = 0.
-389, -44, -2, -1, 1
Factor u**3/7 - 2008*u**2/7 - 135759*u/7 + 2102022/7.
(u - 2073)*(u - 13)*(u + 78)/7
What is u in -3*u**3 - 46902951*u**2 - 750446640*u - 3001785792 = 0?
-15634301, -8
Suppose -12*t**2 - 2036421*t + 4072890 = 0. What is t?
-678815/4, 2
Factor -3*c**3 + 56691*c**2 - 5083965*c + 114252525.
-3*(c - 18807)*(c - 45)**2
Find y, given that 5*y**5 + 3185*y**4 + 153440*y**3 - 130524440*y**2 - 919013840*y - 1314753200 = 0.
-398, -5, -2, 166
Factor 54*g**2 + 77453*g/2 + 12189/2.
(g + 717)*(108*g + 17)/2
Determine p, given that -860*p**4 + 192604*p**3 + 1799444*p**2 + 2880308*p + 117432 = 0.
-7, -2, -9/215, 233
Factor k**2/4 + 428211*k/2.
k*(k + 856422)/4
Find n such that n**3/4 + 14215*n**2/4 - 633204*n = 0.
-14391, 0, 176
Factor 255222*v**2/7 - 32413190*v/7 - 508/7.
2*(v - 127)*(127611*v + 2)/7
Determine i so that -2*i**4/3 + 12934*i**3/3 + 8626*i**2 - 12934*i/3 - 25876/3 = 0.
-2, -1, 1, 6469
Factor -g**3/3 + 1307358*g**2 - 1281887397764*g - 7691340074888/3.
-(g - 1961038)**2*(g + 2)/3
Solve -14*s**5/5 + 1066*s**4 + 526608*s**3/5 - 390992*s**2/5 - 1215328*s/5 - 303072/5 = 0.
-82, -1, -2/7, 2, 462
Find d such that d**3/2 - 3370*d**2 - 6431475*d/2 - 720001125 = 0.
-435, 7610
Factor 2*n**2/9 + 20602*n + 741640/9.
2*(n + 4)*(n + 92705)/9
Factor 2*t**2 + 11488*t + 68856.
2*(t + 6)*(t + 5738)
Solve 3*c**4/8 + 120214*c**3 - 400717*c**2 + 160288*c + 320574 = 0 for c.
-320574, -2/3, 2
Solve -g**5/3 + 1742*g**4/3 - 500848*g**3/3 + 13916614*g**2 - 112147749*g = 0 for g.
0, 9, 163, 1407
Factor -n**2/3 + 275062*n/3 + 15131435/3.
-(n - 275117)*(n + 55)/3
Solve -i**3/3 - 19702*i**2 - 291087195*i + 3493992100/3 = 0.
-29555, 4
Factor 3*j**3/5 - 678*j**2/5 + 7365*j + 37506/5.
3*(j - 133)*(j - 94)*(j + 1)/5
Determine h, given that 3*h**5/8 - 747*h**4/2 + 51465*h**3 + 1492029*h**2/4 + 6463989*h/8 + 1947321/4 = 0.
-3, -1, 174, 829
Let -i**2/6 + 266934*i + 8008070/3 = 0. What is i?
-10, 1601614
Find g, given that -1568*g**3/3 + 1049272*g**2/3 - 351075169*g/6 = 0.
0, 18737/56
What is g in 2*g**5 + 696*g**4 - 13744*g**3 + 74076*g**2 - 22546*g - 462420 = 0?
-367, -2, 5, 7, 9
Suppose -4*v**3 + 42964*v**2 - 152383308*v + 178085507292 = 0. Calculate v.
2887, 3927
Factor d**4/3 + 3345814*d**3/3 + 1243830518712*d**2 + 462403531364419278*d + 462402287535015837.
(d + 1)*(d + 1115271)**3/3
Factor -q**2/8 - 4702599*q/8.
-q*(q + 4702599)/8
Determine m so that 2*m**2/7 - 787874*m/7 + 3939020 = 0.
35, 393902
Factor -2*o**2/7 + 1593736*o + 167342730/7.
-2*(o - 5578091)*(o + 15)/7
Solve 4*f**5/3 - 93*f**4 + 3542*f**3/3 + 25183*f**2/3 + 8818*f + 5096/3 = 0.
-4, -1, -1/4, 26, 49
Factor -5*h**4/4 + 5380*h**3 - 849690*h**2 - 21303763360*h + 22970980915100.
-5*(h - 2098)**3*(h + 1990)/4
Factor -4*i**2/5 + 7367232*i/5 - 66304764/5.
-4*(i - 1841799)*(i - 9)/5
Find u such that u**2/4 - 44502082*u + 1980435302334724 = 0.
89004164
Suppose 5*p**4 - 2740*p**3 + 156935*p**2 - 998040*p + 1655280 = 0. Calculate p.
3, 4, 57, 484
Suppose i**2 + 8623*i - 21765224 = 0. What is i?
-10664, 2041
Solve -4*f**4/5 - 930*f**3 - 324074*f**2/5 + 32640*f = 0.
-1088, -75, 0, 1/2
Determine d, given that -d**5/5 - 2055028*d**4/5 + 6165091*d**3/5 - 4110062*d**2/5 = 0.
-2055031, 0, 1, 2
Find j such that -j**5 + 53*j**4 - 459*j**3 - 5157*j**2 - 12420*j - 7776 = 0.
-3, -1, 24, 36
Solve -5*v**2 + 9812800*v = 0 for v.
0, 1962560
Let q**5 - 31197*q**4 - 468121*q**3 - 1841463*q**2 - 1404540*q = 0. What is q?
-9, -5, -1, 0, 31212
Let -87*d**4 - 7311*d**3 + 142080*d**2 + 318108*d + 10800 = 0. What is d?
-100, -2, -1/29, 18
Find w such that 3*w**3/5 - 3987*w**2/5 + 100464*w/5 + 2294964 = 0.
-42, 70, 1301
Factor -2*s**3 - 1408780*s**2 - 248068547650*s + 4961934481000.
-2*(s - 20)*(s + 352205)**2
Solve -27*y**2 - 93509619*y - 20779914 = 0 for y.
-3463319, | {
"pile_set_name": "DM Mathematics"
} |
d + 5350. Round d to the nearest 100.
1100
Let s = 22061 + -21908.976. Let d = s + -0.024. Let t = d + -152.00067. What is t rounded to 4 dps?
-0.0007
Let v = 50.41057 + -36.4075. Let p = 39 + -25. Let d = v - p. Round d to 4 dps.
0.0031
Let h = -80.1 - -831.1. Let s = h - 712.2. Round s to the nearest 10.
40
Let q = 25.066 - 14.541. What is q rounded to 0 dps?
11
Let i = 19136262.99829 - 19136453. Let r = 1067 + -1257. Let y = i - r. What is y rounded to four dps?
-0.0017
Let t = -40261 + 40193.852. Let q = -374 + 307. Let f = q - t. Round f to one decimal place.
0.1
Let z = 123.5623 - 2.5923. Let y = 122 - z. Let w = y + -1.0382. What is w rounded to three dps?
-0.008
Let f = -0.448 + 0.38. Let a = 14.10138031 + -14.03338. Let h = f + a. What is h rounded to 7 dps?
0.0000003
Let n = -182227 + 182047.646. Let y = 181.4 + n. Round y to 1 decimal place.
2
Let w = -1788.13 - -1899.7. What is w rounded to the nearest 100?
100
Suppose 0 = -b + 5*y + 2374, b + 0*y = 3*y + 2364. Let d(f) = 1568*f**2 - 2*f - 1. Let c be d(-1). Let t = b - c. Round t to the nearest 100.
800
Let w = -2833256389.263 - -2833257889.262996869. Let p = 1500 - w. Round p to 7 dps.
0.0000031
Let o = -221.06 + 652.4. What is o rounded to the nearest ten?
430
Let o = 0.06985 + -0.0698516388. What is o rounded to 7 decimal places?
-0.0000016
Let h = -22796 + -28886. Let t be h/(-4) + 56/(-112). What is t rounded to the nearest one thousand?
13000
Let x = -18.344 - -34.953. What is x rounded to one decimal place?
16.6
Let m = -3141 - -1630. Let p = m - -1511.00857. What is p rounded to 4 decimal places?
0.0086
Let n = 12592333 - 17872333. Round n to the nearest 100000.
-5300000
Let n(o) = 2782*o**2 + 2*o - 4. Let v be (-10)/45 + 0 + 112/18. Let l(g) = g - 10. Let p be l(v). Let z be n(p). Round z to the nearest one thousand.
45000
Suppose -5*g + 28887649 = -74512866. Suppose -34319897 = -2*d + g. What is d rounded to the nearest one million?
28000000
Let h = -71425 - -71456.0046. Let x = 29.26 - -1.74. Let p = x - h. What is p rounded to 3 dps?
-0.005
Let k = 0.461 - 33.223. What is k rounded to the nearest integer?
-33
Let m(t) = -3211*t**3 - 15*t**2 + 19*t. Let f be m(14). Let b = 2163658 + f. What is b rounded to the nearest one million?
-7000000
Let h = 5.365 - 5.4. Let a = h - -2.835. Let b = a - 2.84. Round b to one dp.
0
Let c = 63.280862240366 + -0.168930562766. Let r = c + -0.1119333576. Let h = r + -63. What is h rounded to six decimal places?
-0.000002
Let z = 2676648.90587 - 11.90587. Let k = -2676636.998200463 + z. Let i = k - 0.0018. What is i rounded to seven decimal places?
-0.0000005
Let q = -2205916 + 2206211.9554. Let i = -0.0446 - q. Let l = i - -296.000123. Round l to five decimal places.
0.00012
Let f = 11016571139 + -11016571132.740001243. Let n = f + -6.26. What is n rounded to seven dps?
-0.0000012
Let o = -275.02315 + 274.9. Let b = 0.12 + o. Round b to four dps.
-0.0032
Let u = 17.355 + 1.032. What is u rounded to 1 dp?
18.4
Let r = -1040.2 - -1040.199994337. What is r rounded to 5 decimal places?
-0.00001
Let c = 486.9 + -460. Let q = 136.8 - 150.1. Let z = c - q. What is z rounded to the nearest ten?
40
Let y = 16.31 + -882.31. Let s = 865.99999713 + y. Round s to 7 dps.
-0.0000029
Let c = 2899 - 2899.281. What is c rounded to one decimal place?
-0.3
Let u be (-9 + 1 - (0 + -14)) + 51974. Round u to the nearest one thousand.
52000
Let b(s) = 2468520*s + 18. Let w be b(5). Suppose 0 = -14*v + 17*v - w. Suppose v + 109794 = 11*y. What is y rounded to the nearest one hundred thousand?
400000
Let g be (-202853)/(-2) - (34/(-4) + 10). Suppose 3*s + 2*b - 304210 = 0, 0*s - 5*b = s - g. Round s to the nearest one thousand.
101000
Let f = -0.34 + -4.76. Let b = -0.27061 - -5.37091. Let r = f + b. Round r to 4 decimal places.
0.0003
Suppose -2*a + 10 = 0, -5*f - 4*a + 4587914 = -462106. Round f to the nearest 100000.
1000000
Let a = -22950 - -23251.21. What is a rounded to zero dps?
301
Let i = -102 - -43. Let c = 44.5 + -98.8. Let p = i - c. Round p to 0 dps.
-5
Let a = 1682460 + -1682447.60457. Let h = -1155.01243 + a. Let t = -1142 - h. What is t rounded to 2 dps?
0.62
Let n = 2717.0031 - 2717. What is n rounded to two decimal places?
0
Suppose 0 = 123*u + 54*u + 13475010. Round u to the nearest 10000.
-80000
Let a(o) = -o**3 + 9*o**2 - 3*o - 14. Let y be a(7). Let d be ((y/4)/(-9))/(2/(-40)). Let h = -74 + d. What is h rounded to the nearest 10?
-40
Suppose 2*i - 4*f = 2227228, i - 868642 = -2*f + 244944. Round i to the nearest one hundred thousand.
1100000
Let d = -1 - -5. Let b be (-167595)/(-105) + (0 + 1)/(-7). Let l be b/(d + -7) + -2. What is l rounded to the nearest 100?
-500
Let u = 10223.0000016507 + -10223. Round u to six decimal places.
0.000002
Let t(h) = -9026917*h + 2 + 0 + 2666161*h. Let x be t(-1). Let p = -8839242 - x. Round p to the nearest one million.
-15000000
Let s = 381917 - 381921.0999296. Let t = s - -4.1. Round t to five decimal places.
0.00007
Let v be (-2245319072)/42 - 62/651. Let g be -2 + v/12 - 2/(-12). What is g rounded to the nearest one hundred thousand?
-4500000
Suppose -5*f - 154461 = -4*s, -595*f = 4*s - 594*f - 154431. What is s rounded to the nearest 10000?
40000
Let s = -363 + 550. Let i = -192.4637 + 2.8937. Let b = i + s. Round b to one dp.
-2.6
Let n = 0.43597 + -0.26684. Let c = n - 11.41813. Let l = -11.2 - c. Round l to 2 dps.
0.05
Let f = 24.61 - -185.79. Let h = f - 185. Let c = 5.8 - h. Round c to 0 decimal places.
-20
Let x = 359 + -340.1. Let d = x + 256.6. What is d rounded to the nearest one hundred?
300
Let s be 748/(-14) + (-20)/35. Let y be 360/s*2195*-6. Round y to the nearest 1000.
88000
Let d = -39.113 + 39.11290191. Round d to 5 dps.
-0.0001
Let a = 2.593 + 0.007. Let m = a - -95.4. Let n = -97.999973 + m. Round n to 4 decimal places.
0
Suppose 0 = 6*b + 9 + 3. Let z be (-3*b/4)/(3/14). Let r be z/14 - (-13319997)/6. Round r to the nearest one hundred thousand.
2200000
Let j = -153028.99880459 - -153029. What is j rounded to four decimal places?
0.0012
Suppose 2*h - 4*m = -168630, 61515 + 191410 = -3*h + 10*m. Round h to the nearest one hundred.
-84300
Let l = 61.7 - 63. Let i = l + 4.7. Let d = i - 6. What is d rounded to the nearest integer?
-3
Let x = -1363 + 1412.55. Let g = -44.7 + x. Round g to one decimal place.
4.9
Let i = 3148 + 42821. What is i rounded to the nearest 1000?
46000
Let p = 0.035989 - 0.036029923. Round p to 6 decimal places.
-0.000041
Let x = 4520.07 - -521.63. Let j = -4788 + x. Let v = j + -266. Round v to the nearest integer.
-12
Let c = 459.9498 + 0.0502. Let w = 460.000000466 - c. Round w to seven dps.
0.0000005
Let k = 6 - 0. Let r be (98 + -1)/(1/(k + -5)). Let x = -61 + r. Round x to the nearest 10.
40
Let v = -1073.278932 - -1073.3. Let w = v - 154.094068. Let s = w + 154. Round s to 2 decimal places.
-0.07
Let i = -1.1167 + -3551.7633. Let n = -3603.880019 - i. Let f = n - -51. Round f to five decimal places.
-0.00002
Let a = 76 - 77. Let i(t) be the first derivative of 332999*t**3/3 + t**2/2 + 2*t - 7. Let w be i(a). Round w to the nearest one hundred thousand.
300000
Let m = 75.862 - 75. Let a = m - -0.198. What is a rounded to the nearest integer?
1
Let k = -3092 + 3077.461. Let d = 0.061 - k. Let o = d + -14.59999907. Round o to 7 decimal places.
0.0000009
Let x = 5750.799 + -3.799. Let k = 6230.2 - x. Round k to the nearest ten.
480
Let m = -69157 - -68879.21. What is m rounded to the nearest ten?
-280
Suppose -c + 10 = 13, 4*y = -3*c - 29. Let n be (-76 + 81)*8*58/y. What is n rounded to the nearest 100?
-500
Let w = 440.35 + -5.35. Let u = w + -436.97. Let l = -1.97000273 - u. Round l to 7 dps.
-0.0000027
Let b = 126 + -244. Let r = 118.068 + b. Round r to 1 dp.
0.1
Let f = -0.7793 + 0.84436. Round f to three decimal places.
0.065
Let g(b) = -b**3 - 40*b**2 - 43*b - 152. Let x be g(-39). Suppose -x*s = -8*k + 4*k - 29600, -s = 3*k + 22200. Round k to the nearest 100.
-7400
Let z(x) = 6383*x**2 - 3*x + 24. Let r be z(9). Round r to the nearest ten thousand.
520000
Let k = -265240642711.999999669 - -265240642229. Let n = 1079 + -596. Let a = k + n. Round a to 7 dps.
0.0000003
Let r(z) be the third derivative of z**5/60 + z**4/4 + z**3 + 19*z**2. Let g b | {
"pile_set_name": "DM Mathematics"
} |
value of 3 + -2 - (5 + -7)?
3
What is -6 + (-3 - -9 - 1)?
-1
Evaluate 9 + -3 + -4 + (-3 - 0).
-1
Calculate (26 - 23) + (-7 - (0 - 2)).
-2
Evaluate -1 + (4 - -2) + -8 + 6.
3
Calculate 16 + 1 + 9 + -24 + 8.
10
Calculate -1 + -6 - -10 - 7.
-4
Evaluate 9 - 4 - 7 - (-3 - 0).
1
Evaluate -3 + (4 - -5) + (0 - 3).
3
(-1 - -10) + -3 - (0 + 2)
4
What is -12 + 10 + 7 - 10?
-5
Calculate -1 + (16 - 20) + 1 + -2.
-6
3 - (0 + -1) - (2 - -1)
1
21 + (-45 - -21) - (-1 + 1)
-3
Evaluate 0 - -11 - (-6 - -9).
8
(-1 + 1 - (16 + -19)) + -2
1
Evaluate 1 + -4 + -4 + 3 + 9.
5
What is (-1 - -1) + -2 + 2 + 0?
0
Calculate -2 + 2 + -17 + 13.
-4
What is the value of 1 + 5 + 5 + -13 + 0?
-2
Evaluate -12 - (-10 + 7 - -1).
-10
What is (1 - 0) + -2 - (64 - 62)?
-3
What is the value of -3 + (2 - 0) + 6 + -1?
4
Calculate -1 - 4 - (12 + -21) - 6.
-2
Evaluate 2 + -1 + 3 - (8 - 6).
2
What is the value of (14 - 6) + -3 + -9?
-4
What is the value of 3 - (4 - ((-5 - -1) + 3))?
-2
What is 3 + -4 + 3 + -1 + -2?
-1
Evaluate -6 + (-87 - -92) + 0 + -1.
-2
Evaluate 2 - (1 + 8 + (-1 - 2)).
-4
What is 0 + (0 - (-10 + 3 + 1))?
6
-68 + 65 - (-1 + (2 - -4))
-8
Evaluate 5 - (2 + (11 - 7)).
-1
Evaluate (0 - 2 - -5) + -6.
-3
2 + (1 - (-4 - -3)) + -3
1
-2 - 9 - (-3 + -1 - 1)
-6
-2 + 0 + (12 - 8)
2
-4 - -1 - -14 - (10 + -5)
6
Calculate 9 + -7 - (-1 + 2 + -2).
3
What is 0 + 2 - (10 - -2 - 10)?
0
What is the value of -4 + -3 + 13 + -1?
5
Calculate 0 + (0 - -5 - (9 - 1)).
-3
-3 + 5 - 5 - (-2 - 1)
0
Calculate 1 + 8 + -6 - -1.
4
-2 + -2 - (1 + -5 + 3)
-3
What is the value of (13 + -7 - -1) + -9?
-2
What is the value of -1 + 1 + (1 - (0 + 3))?
-2
What is the value of (6 - (4 + -2)) + -3 + 2?
3
What is the value of -5 - (-4 + (-3 - (-9 - -1)))?
-6
Calculate -11 + (4 - 13) - -11.
-9
What is 80 + -80 + 2 + 5?
7
Calculate -1 + (-1 - -11) - (5 + -1).
5
Calculate -37 + 42 + -4 + 1.
2
Calculate 2 + -3 + 0 + 2 + 2.
3
What is the value of -5 - ((-2 + 3 - 1) + -9)?
4
Evaluate -4 - (-6 - (-6 - 1)).
-5
What is the value of -9 + 10 + -2 + -1?
-2
Evaluate (14 - 11) + (0 - 1) + -2.
0
Calculate 0 + -5 - (3 + -3 + -1).
-4
What is the value of -3 - 1 - (-8 - -2)?
2
Evaluate 1 + (-4 + 0 - -5).
2
What is -1 + (-8 - -2) - (-40 + 43)?
-10
Evaluate -1 - (0 + 2 + -2 + 2).
-3
Calculate 0 + -1 - (-6 + 5).
0
What is the value of (4 - 8) + -14 - -9?
-9
Calculate (11 + -7 - 9) + 9.
4
(-1 + 0 - (-8 + 4)) + -6
-3
What is the value of 7 + -1 + -3 + 7 + -6?
4
What is the value of -1 + (-1 + 4 - 2) + -3?
-3
What is (-14 - -11) + 9 - -2?
8
What is the value of 0 + 7 + (21 - 10) + -17?
1
Evaluate -10 - (-2 - (-11 + 10)).
-9
What is the value of 2 + -1 + (1 - 4)?
-2
What is the value of 4 + -1 - (2 - 4)?
5
Evaluate (0 - -8) + -8 - -7.
7
Calculate (8 - 4) + (1 - 3) - 4.
-2
Calculate -11 - -5 - 1 - (-5 + 0).
-2
What is the value of -5 - (-1 - 4 - (-4 - 4))?
-8
What is the value of (5 - 1) + 8 + -17 + 9?
4
Evaluate (0 + -11 - -20) + -9.
0
5 - -1 - 2 - -1
5
What is the value of -2 + 2 + -4 + (0 - -3)?
-1
Evaluate (-1 - 3) + -15 + 15.
-4
Calculate -6 + 2 + 11 + -2.
5
What is the value of -4 + 5 + (0 + 1 - 4)?
-2
Calculate 8 - -3 - (-3 - (-3 - 5)).
6
What is 3 + -7 + (-2 - -2)?
-4
What is 7 + 6 + -19 - -9?
3
What is 3 + (-1 - (-1 - (1 + -4)))?
0
Evaluate -4 - -10 - 10 - 0.
-4
What is -1 - -11 - (-4 - (-12 + 2))?
4
What is 4 - ((-6 - -7 - 1) + -4)?
8
(-5 - 0) + 2 + -2
-5
Evaluate -1 - (1 - 0 - (0 - -2)).
0
Evaluate 8 - (-7 - -11) - 9.
-5
What is the value of 1 - -9 - (15 - 10)?
5
(-8 + 14 - -4) + -8
2
1 + 1 - (-5 + 3 + 2)
2
Evaluate 0 + -4 - (-2 + -5).
3
10 + -3 + (-3 - (1 - 1))
4
Calculate -6 + (-3 - -2) - -3.
-4
What is the value of 2 + (-3 - (5 + -2))?
-4
What is the value of -2 + -1 - (-6 - -3)?
0
Evaluate -5 - -10 - (5 + -3 + 3).
0
What is -12 + (22 - 5 - 8)?
-3
Calculate 0 + 8 - (1 + 2 + 2).
3
(0 - -1) + -19 - (-342 + 334)
-10
Calculate -9 + 4 + 0 + 2.
-3
What is (-3 - -4) + -8 + 3?
-4
(-41 - -33) + 8 + -1 - -10
9
-1 - ((5 - (1 + 0)) + -10)
5
Calculate 7 + -15 + 5 + 1 + 0.
-2
What is the value of -11 + 19 - -3 - 17?
-6
What is 2 + 4 - 15 - (-1 - 4)?
-4
Calculate 2 + -8 + -2 - -17.
9
Evaluate 2 + -3 + (-4 - -3).
-2
What is the value of -4 + -1 + 12 + (-4 - -6)?
9
Evaluate 4 - (-4 + 10 + 4).
-6
-8 + 8 + (11 - 20)
-9
Calculate 7 - (4 + -3 + 1).
5
What is the value of 0 + 1 - (-7 + (-2 - -7))?
3
Evaluate -14 + 14 + -8 - -9.
1
Calculate (9 - 2) + -1 + -7.
-1
Calculate (0 - -3 - 0) + -1.
2
What is 3 - -5 - 3 - 8?
-3
(7 - (20 + -9)) + (0 - 1)
-5
Evaluate -2 + 8 + (-1 - 2) - 0.
3
What is the value of 2 + -8 + (12 - 16)?
-10
Calculate -20 + 13 - (-8 - 3).
4
What is the value of (4 - 14 - -6) + 0 + 5?
1
Evaluate (-4 + 6 - -5) + -8 + 8.
7
Evaluate 2 + 0 + -3 - (9 - 8).
-2
What is the value of -11 + 5 + (-3 - -3) - -13?
7
Calculate -7 + (1 + -1 - -8) - -8.
9
What is the value of -10 - -15 - (7 - 4)?
2
Evaluate -1 + (4 - -1) - 9.
-5
Evaluate 3 + -1 + -9 + (-5 - -7).
-5
(3 - 15) + 8 + 5
1
What is the value of (2 - 9) + (7 - 5 - 0)?
-5
Evaluate (1 - 5) + 0 + -2 + 4.
-2
3 + -2 + (0 - (8 - 3))
-4
Evaluate (-4 + 1 - -4) + 3.
4
Evaluate (4 - 6) + 1 - -4.
3
What is the value of -3 + 3 + (1 - 2)?
-1
-6 + -2 - -4 - -9
5
Evaluate (1 + 7 + -1 - 7) + -3.
-3
What is -8 + (8 - 8 - -1)?
-7
Evaluate 3 + -2 - (5 - 2) - 1.
-3
Evaluate -5 + 4 - (-5 - -4).
0
What is 9 + (9 - 1) + -22?
-5
(-8 - -2) + 4 + -4
-6
What is 2 + (12 - 7) + -2?
5
(-4 - -7) + 0 + (-2 - 2)
-1
What is the value of 9 - 5 - (-2 + 6)?
0
Evaluate 0 - (-6 + 4) - (-2 + 0).
4
Evaluate -9 + -2 + 14 + -6.
-3
(11 - 14 - (1 + -4)) + -3
-3
Evaluate 1 - ((-2 - -4) + (0 - 3)).
2
What is the value of 3 + 0 - (3 + 2)?
-2
What is the value of 10 - (4 + -9 + 0 + 11)?
4
What is 0 - (-10 + 1 + 18)?
-9
Evaluate 0 - (-3 - 2) - -1.
6
12 + (0 - (-1 - (6 - 13)))
6
Evaluate 2 + (-1 - -1) - -3.
5
Evaluate 0 - (11 + 1) - (0 + -6).
-6
3 - (-1 - (-4 - (0 - -2)))
-2
Evaluate (0 - 1) + (9 + 1 - 6).
3
What is -12 - (1 - 3) - -4?
-6
43 + -54 - (0 + -4)
-7
1 + (-4 + 4 - 2)
-1
0 + 10 + -6 + -2 + -6
-4
7 + 18 + -23 - (3 - 0)
-1
Calculate 11 + -3 - (13 - 1).
-4
What is the value of -4 + 4 + 4 - 1?
3
What is 6 - -3 - (4 + 1)?
4
What is 3 + (-3 - 2) + -1?
-3
Calculate 10 - (1 - -3) - 7.
-1
10 - (17 + -7 + -7)
7
(-1 - -14) + -26 + (16 - -5)
8
What is the value of -4 + (3 - 0) + 2 + -2?
-1
Calculate (5 - 4) + -7 + -3.
-9
What is the value of 7 + -1 - (-23 + 23) - 6?
0
What is the value of -6 - (6 - 11) - -4?
3
What is (0 - ((-4 - -4) + 0)) + -2?
-2
Evaluate 4 - (0 - (-2 - -1)).
3
What is the value of -6 - -1 - (1 - 4)?
-2
What is 0 + (-1 + 3 - 3) - 1?
-2
Calculate 3 + 0 - (4 + -2) - 0.
1
What is 6 - (9 + 2) - 0?
-5
What is the value of -2 - (-6 + (-5 - -7))?
2
What is the value of 33 + -36 + -2 + 1?
-4
Calculate -5 - (1 - 2) - (-8 + 0).
4
Evaluate (-6 - 3) + 6 + 6.
3
What is -2 - (-10 - -4) - 4?
0
What is the value of -10 + 13 + (1 - (3 + -5))?
6
What is the value of 0 + -2 + (-8 - (13 - 20))?
-3
Calculate 5 - 1 - (23 - 18).
-1
Calculate (0 + -2 - (-21 - -18)) + -2.
-1
Calculate -1 + (-10 - -5) + 9.
3
Calculate -1 + 4 + (1 - 4) + -5.
-5
What is the value of -13 + 0 + (-39 - -52)?
0
-3 + (6 - (-6 + 12))
-3
What is the value of -2 + -1 - (2 + 4 - 13)?
4
Evaluate 9 - (9 + -7 + -3).
10
Evaluate 4 - -1 - 5 - 2.
-2
Calculate -10 + 7 + (0 + 0 - 2).
-5
Evaluate 0 + -5 + (-11 - (-15 + 4)).
-5
Calculate (-28 + 34 - (2 - 0)) + -9.
-5
Calculate 2 + (4 - (2 + 1 - 2)).
5
What is 3 - ((0 - -2) + -3)?
4
What is (0 - 3) + 4 + -4?
-3
-2 + 1 + (-6 - -11) + -1
3
-2 - (0 + (4 - 9))
3
13 + 5 + (-13 + -2 - -5)
8
Evaluate -2 + -4 + (6 - 3) + 3.
0
What is -6 - -4 - (0 + -2)?
0
Evaluate (1 - 6 - (-5 + 1)) + 2.
1
What is the value of 3 - -11 - (1 - -8)?
5
(-9 - -2) + 2 - (-2 + -1)
-2
What is the value of -2 + (-5 - -5) + 0?
-2
What is 1 + (3 - 2 - (-9 - -12))?
-1
Evaluate 3 + 1 + (30 - 37).
-3
-1 + 9 + (-3 - 0)
5
3 - (10 - 5) - (3 - -2)
-7
What is the value of (0 - -5 - (4 - 1)) + 0?
2
What is the value of 1 + -9 + (-9 - -12)?
-5
Evaluate 0 - (10 + -1 + -1).
-8
Calculate -11 + (7 - (-10 + 12)).
-6
What is the value of -4 + -3 + 6 - 3?
-4
What is the value of 7 - -6 - (8 - -5)?
0
What is the value of -11 + 8 - (-8 + 3 - -5)?
-3
What is -2 - -3 - -5 - 10?
-4
Calculate 12 + -6 + -7 - 2.
-3
What is -9 - -12 - (-1 - -3)?
1
Calculate (-3 - -3) + 2 + 10 + -13.
-1
Calculate -1 | {
"pile_set_name": "DM Mathematics"
} |
c + c.
25*c
Expand (2*m + 1 - 1)*(4*m**3 - 4*m**3 + m**4 - 3*m + (3*m - m - 3*m)*(m**3 + 4*m**3 - 3*m**3)).
-2*m**5 - 6*m**2
Expand 2*p**3 + p**2 - p**2 + (3 - 5 + 0)*(2*p**3 + p - p) - 2*p**3 - 2*p**3 + 3*p**3.
-3*p**3
Expand (-4*g**3 - 5*g**3 + 0*g**3)*(g**2 + 2*g**2 - 2*g**2 + (-2*g - g + g)*(g - 4*g + g) + g**2 + g**2 - g**2 + g**2 + g**2 - 4*g**2).
-36*g**5
Expand (0*v - 3*v + v + (-2*v - 3*v + 4*v)*(1 + 2 - 2) + 5*v - 2*v - 2*v)*(1 - 5 - 1).
10*v
Expand 3*j**4 - 12*j**4 - 8*j**4 + 0*j**2 - j**4 + 0*j**2 + 0*j**4 - 3*j**4 + j**4 + (3 - 3 - j**3)*(j - 3*j + j).
-19*j**4
Expand -51 + 31*a**2 + a + 51 + (-2 + 3 + 1)*(2*a**2 - a**2 - 3*a**2).
27*a**2 + a
Expand (2 + 0 - 3)*(2 - 6 + 2)*(0 + 0 - g)*(g**2 + 8 - 8).
-2*g**3
Expand (6*z + 4*z**3 - 6*z)*(0 + 0 - 1) + 0*z**3 + 0*z**3 - z**3.
-5*z**3
Expand (0 - 1 - 1)*(-3*q**2 + 3*q**2 + 2*q**3) - 2*q**3 + q**2 - q**2 + (6 - 5*q - 6)*(4*q**2 - 3*q**2 + 0*q**2).
-11*q**3
Expand (4 - 4 - 1)*((-2*a**2 + 2 - 2)*(4 - 4 - 2) + 24 - 24 - 3*a**2).
-a**2
Expand (-2*l**2 - 19*l - 4 + 19*l)*(-l**2 - l + l).
2*l**4 + 4*l**2
Expand (-s**2 - 3*s + 3*s)*(0 - 4 + 5)*(-11*s + 4 - 4)*(2 - 4 + 3).
11*s**3
Expand (2 - f**2 - 2)*(-1 - 1 + 0)*(-2 + 0 + 0).
-4*f**2
Expand (5 - 2 - 2 + 2*f**2)*(5 + 3 - 2).
12*f**2 + 6
Expand (2*c**3 + 3*c**2 - 3*c**2)*(4*c**2 - 34 + 34).
8*c**5
Expand (0*p + 0*p + 2*p)*(13 + 0 + 4).
34*p
Expand (0*q + 2*q - 5*q)*(5*q - 7*q + 3*q - 3*q**2).
9*q**3 - 3*q**2
Expand (4*p + 2*p - p)*(p - 2*p - 3*p).
-20*p**2
Expand 0*h - 3*h**4 + 0*h - 4*h**4 + 3*h - 3*h + (h**2 + 3*h**2 - 5*h**2)*(h**2 + 0 + 0) - h - 2*h**4 + h.
-10*h**4
Expand 2 - 2*d - 1 + 0 + 20*d - 6*d + 6*d + 1 - 2*d - 1 + 2*d - 2*d - 2*d + (-3*d + d + d)*(3 - 2 + 1) + 0*d + 0*d - 2*d.
10*d + 1
Expand (-1 + 1 + 2*g**2)*(1 + 8 - 2)*(4*g - 3*g + g)*(-2 + 1 + 0).
-28*g**3
Expand (-1 + 1 - 3*h + (2 + 2 - 5)*(-2*h + h + 3*h))*(h**3 - h**2 + h**2).
-5*h**4
Expand (-3 + 2 - 1)*(0*b + 5*b - 2*b) + 2 + 6*b - 3*b - 4*b.
-7*b + 2
Expand (-3*p - 3*p + 4*p)*(p + 3 - 3) - 2*p**2 + 4*p**2 - p**2 + 0*p**2 + 2*p**2 - 3*p**2 + (0*p + 0*p + p)*(2 - 3 + 0 - p).
-3*p**2 - p
Expand 11*j**3 + 6*j - 6*j + (4 - 1 - 1)*(-3*j**3 + 2*j**3 - 2*j**3).
5*j**3
Expand (-d + d + 5*d)*(2*d**3 - 2*d**4 + 2*d**4 + 4*d**4).
20*d**5 + 10*d**4
Expand 0*c**5 - 2*c**5 + 0*c**5 + (2*c**4 + 3*c**2 - 3*c**2)*(4*c - c - 5*c) - c + c - c**5 - c + c - c**5 + 2*c - 2*c**5 - 2*c.
-10*c**5
Expand (-l**2 + l**2 - 2*l**3 + (0 + 0 - l)*(-2*l**2 - 2*l**2 + 5*l**2) + 2*l**3 + 2*l**3 - 3*l**3)*(8 - 8 - 3*l**2).
6*l**5
Expand (6*j**2 + 5*j**2 - 6*j**2)*(1 - 1 - 2).
-10*j**2
Expand (56 - 110 - t + 53)*(2*t + t - t + 2).
-2*t**2 - 4*t - 2
Expand (2*h**2 + 2 + 0 - 1 - 4*h - 4*h**2 + 4*h + (-2*h + 0 + 0)*(3*h - 5*h + 4*h) + 7*h**2 - 2*h**2 - 3*h**2)*(-h**3 - 3*h**3 + h**3).
12*h**5 - 3*h**3
Expand (-2 - 3 + 4)*(-10 + 21 - 18)*(-1 + 2*k**2 + 1).
14*k**2
Expand (j - j - 2*j**4)*(5*j - 5*j + 7*j).
-14*j**5
Expand (-2 + 4 + 2*j**2 - 4*j**2)*(-j - 2 + 2).
2*j**3 - 2*j
Expand (1 + 2*x**3 - 1)*(-2 + 4 - 4)*(-3*x - 7*x + 6*x).
16*x**4
Expand 3*x + 4*x - x + x - 2*x - x + 0*x + x + 0*x + (-2 + 4 + 0)*(2*x + 2*x - 5*x) + 0*x + 0 - 2*x + 1.
x + 1
Expand (24 - 3*o**3 - 24)*(o**2 + 1 - 3 + 0*o**2).
-3*o**5 + 6*o**3
Expand -3*d + 2*d**2 + d - d**3 + 0*d**3 + 3 - d**3 - 3 + (-2*d**3 - 2*d + 2*d)*(2 + 2 - 3).
-4*d**3 + 2*d**2 - 2*d
Expand (-2 + 0 + 4)*(u**2 + 0*u**2 - 2*u**2)*(-2 + 2 - 2).
4*u**2
Expand (2*d**2 - 3*d**2 + 3*d**2)*(368*d**2 + 385*d**2 - 3*d**3 - 741*d**2).
-6*d**5 + 24*d**4
Expand (1 - 1 - u)*(0 + 1 + 1) + (1 - u - 1)*(-4 + 0 + 3) + (0*u - 5*u + 3*u)*(-2 + 4 - 4).
3*u
Expand 2*d**2 - 3*d**2 + 3*d**2 + (-2 - d + 2)*(5*d - d - 3*d).
d**2
Expand (t - 3*t + 11 - 9)*(5*t**4 - 4*t**4 - 3*t**4).
4*t**5 - 4*t**4
Expand (-1 - 1 + 4)*(3 + 2*s - 3) + 2*s - 3*s + 2*s - 22*s - 67*s + 52*s + 2 - 2 + s + (1 - 2 + 2)*(s - 4*s + s).
-33*s
Expand (y**2 - 2*y**2 + 2*y**2)*((2 - 1 + 0)*(1 + 0 + 1) - 4 - 3 + 10) + 4*y**2 - y**2 - 4*y**2.
4*y**2
Expand (v**3 - 1 - 1 - 1)*(0 + 0 - 6*v**2).
-6*v**5 + 18*v**2
Expand (2 + 1 - 1)*(3*h - 6*h + h)*(-2 + 2 - 2*h**2 + (h + 3*h - 2*h)*(0*h - 3*h + 5*h)).
-8*h**3
Expand (0 - 1 + 4)*(-7 + 2 + 3)*(2*z - 3*z + 4*z).
-18*z
Expand (-3*b**2 + 5*b**2 + 0*b**2 + 6*b**2 - 3*b**2 - b**2 + (14*b + 7*b - 4*b)*(4 - 4 + b))*(-2 + 2 - b**2).
-21*b**4
Expand -r**3 + r - r + (r + 3 - 3)*(-5*r**2 + 2*r**2 + 20*r**2).
16*r**3
Expand (1 - 3 + 0)*(2*r + r - 6*r) + (4 + 8 + 1)*(0*r - 3*r + r).
-20*r
Expand (4*i - 3*i - 2*i)*(4*i**4 - 6*i**4 + 3*i**4) + 2*i - 3*i**5 - 2*i - 2*i**5 - 5*i + 5*i.
-6*i**5
Expand (-17*y - 4*y + 2*y)*(-2 + 4 + 1).
-57*y
Expand -7*u**5 + 5*u**5 - 7*u**5 + 4*u + 2*u**5 - 4*u - 1 + (-3*u + 6*u - 2*u)*(-3*u**4 - u**4 + 2*u**4) - 3*u**5 + 5*u**5 - u**5.
-8*u**5 - 1
Expand -2*f**5 + 2*f**2 - 2*f**2 + (4*f**3 - 5 + 5)*(-2*f**2 + 2*f**2 - f**2).
-6*f**5
Expand ((-1 + 1 + 4)*(2*o + 0*o - o) - 2*o - 3 + 3)*(0*o**2 + 2*o**2 + 0*o**2).
4*o**3
Expand -p - 5*p + 4*p + 2 - p**3 + (-5 + 4 + 2)*(4*p**3 - 3*p**3 + p**3).
p**3 - 2*p + 2
Expand (-y - 2*y + y)*(-2*y - 3*y + 4*y) + ((4 - 1 - 4)*(-2 + 0 + 1) + 4 - 3 - 3)*(-4*y**2 - 3*y**2 + y**2).
8*y**2
Expand (r - r - 4*r)*(r - 5*r + 2*r).
8*r**2
Expand (-3*v + v - 5 + 0*v)*(4*v + 2*v**2 - 4*v).
-4*v**3 - 10*v**2
Expand (c + 4*c + 2*c)*(4 - 2*c - 3*c + 4*c).
-7*c**2 + 28*c
Expand 2*h + 3 - 3 + (4 + 5 - 10)*(0*h + 5*h - 2*h).
-h
Expand (0*h**2 + 4*h**2 - 6*h**2)*((h - h + h)*(-4 + 2 + 3) + 3*h - h - h + 2 + h - 2 + h + 2 - 2).
-8*h**3
Expand (2*a**2 + a**2 - 5*a**2)*(1 - a + 6*a + a).
-12*a**3 - 2*a**2
Expand 33*y**2 - 25*y**5 - 33*y**2 + (0 - 2*y**2 + 0)*(-y**3 - 2*y + 2*y).
-23*y**5
Expand (-2 - 5 + 2)*(-15*b - 4*b + 5*b).
70*b
Expand (-4 + 4 + 13*s**5)*(-2 + 2 - 1) - 3*s**5 - s**5 + 5*s**5.
-12*s**5
Expand (2*y**2 + y - y)*(-3*y**2 - 5*y**3 + 5*y**3 + 3 + y**3).
2*y**5 - 6*y**4 + 6*y**2
Expand g**2 - 10*g**2 + 0*g**2 - g**3 + (2*g**2 - g**2 - 3*g**2)*(2*g + 0 + 0) - 8 + 8 - 8*g**3.
-13*g**3 - 9*g**2
Expand (0 + 1 - 7)*(j**3 - 5*j**3 + 2*j**3).
12*j**3
Expand (0*o + 2*o**3 + 0*o)*(-1 + 29 + 3).
62*o**3
Expand (5 + 2 - 11)*(3*z**3 - 2*z**3 + z**3).
-8*z**3
Expand (-3 + 3 + 3)*(-10*p**4 - 5*p**5 - p**2 + 10*p**4).
-15*p**5 - 3*p**2
Expand (3 - y - 3)*(-4*y**2 - y**2 + 3*y**2) + (-y + y - y)*(-y**2 + 3*y**2 - 3*y**2).
3*y**3
Expand (2*w + 11 - 11)*((-1 + 1 + 2*w**2)*(3*w**2 - w**2 - w**2) + 0*w**4 - w**4 - 3*w**4 - 2*w - w**4 + 2*w + w)*(0 - 2 + 1).
6*w**5 - 2*w**2
Expand (-2*v**2 + 0*v + 0*v)*(1 + 8 - 1).
-16*v**2
Expand (-n - n + n)*(13*n + 21*n - 18*n)*(-5 + 2 + 4).
-16*n**2
Expand (2 - 4 + 1 + (0 + 1 + 0)*(0 - 3 + 2) - 3 - 3 + 4)*(-25 + 38*i + 25)*(-i + 2 - 2).
152*i**2
Expand (-2*b**2 + 5*b**2 - 5*b**2)*(b - 2*b - 68*b**2 + b).
136*b**4
Expand (-3 + 1 + 6)*(-y + 12*y - 8*y + (4 - 4 + 2)*(-y - y + 3*y)).
20*y
Expand ((-3*g - 2*g + 3*g)*(-1 + 1 + 2) - 4*g - 3*g + 4*g)*(-2*g**4 - g**4 - 2*g**4).
35*g**5
Expand (1 - 2 - 1)*(2*w - 3*w + 2*w) - 3*w + w + w + (-1 + 4 - 1)*(-5*w + 2*w + 0*w).
-9*w
Expand (2*z**2 - z**2 - 3*z**2)*(-5*z + 3*z + 3*z + (-3 - 1 + 2)*(4 - 4 + 2*z) + 2 - 2 - z).
8*z**3
Expand (-2*x**4 - 2*x**4 + 22*x**4)*(1 - 1 + 1).
18*x**4
Expand (12*k**2 - 203 + 203)*(0*k - 3*k + 5*k).
24*k**3
Expand (4 - 4 - 3*g)*(-1 + 2 - 2)*(-3*g + 4*g + 0*g).
3*g**2
Expand (-5 - 3 + 4 + (-1 + 0 - 1)*(-2 + 1 + 2))*(-2*t - 3 + 3).
12*t
Expand (1 - 2*l**2 - 1)*(-6*l - 7*l**2 + 6*l - 10*l**2).
34*l**4
Expand (-2*m**3 - 3 + 3)*(2*m + 6 - 6) + 2*m**3 - m**4 - 2*m**3.
-5*m**4
Expand (2 + 2 - 3)*(3*x - 4*x + 0*x)*(-1 - 3 + 2 + (5 - 6 - 1)*(5 + 0 - 4)).
4*x
Expand (-11*u**2 - 16*u**2 + 11*u**2)*(-1 - u + 1) - 2*u**2 + 2*u**2 - 2*u**3 + 3*u**3 - 2*u**3 + u**3.
16*u**3
Expand (-10*d**3 + d**3 + d**3)*(0*d - 3*d + 0*d).
24*d**4
Expand -3*c**2 - 3*c**2 + 3*c**2 + (-3*c + 3*c + c)*(c - 2*c + 3*c) + 3*c**2 + 4*c**2 - 3*c**2.
3*c**2
Expand (1 + 1 + 0)*(y - 173 - 22*y**5 + 348 - 173).
-44*y**5 + 2*y + 4
Expand (5*w**2 + 3*w**2 + 2*w**2)*((w + w - 4*w)*(w + 3*w - 2*w) + w**2 + 0*w**2 + w**2 + (-w + w - 2*w)*(-2*w + 2 - 2) - w**2 + 1 - 1 + 0 + 0 - 2*w**2).
-10*w**4
Expand (0*s**5 - s**5 + 3*s**5)*(2 - 3 - 5).
-12*s**5
Expand (2*n**2 - n**2 - 2*n**2 + (-n + 4*n - 5*n)*(5*n - 3*n - n))*(0 + 1 - 4).
9*n**2
Expand (2*v**4 - 4*v**4 + 3*v**4)*(-5 - 3*v + 5) + (4*v**4 - 3* | {
"pile_set_name": "DM Mathematics"
} |
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