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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? 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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? 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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? 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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" }
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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" }